TSTP Solution File: ALG104+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG104+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 15:35:08 EDT 2022
% Result : Theorem 9.72s 2.77s
% Output : Proof 32.17s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG104+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 00:35:15 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.55/0.58 ____ _
% 0.55/0.58 ___ / __ \_____(_)___ ________ __________
% 0.55/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.55/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.55/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.55/0.58
% 0.55/0.58 A Theorem Prover for First-Order Logic
% 0.55/0.59 (ePrincess v.1.0)
% 0.55/0.59
% 0.55/0.59 (c) Philipp Rümmer, 2009-2015
% 0.55/0.59 (c) Peter Backeman, 2014-2015
% 0.55/0.59 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.55/0.59 Free software under GNU Lesser General Public License (LGPL).
% 0.55/0.59 Bug reports to peter@backeman.se
% 0.55/0.59
% 0.55/0.59 For more information, visit http://user.uu.se/~petba168/breu/
% 0.55/0.59
% 0.55/0.59 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.77/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.85/1.16 Prover 0: Preprocessing ...
% 5.49/1.77 Prover 0: Constructing countermodel ...
% 9.72/2.77 Prover 0: proved (2136ms)
% 9.72/2.77
% 9.72/2.77 No countermodel exists, formula is valid
% 9.72/2.77 % SZS status Theorem for theBenchmark
% 9.72/2.77
% 9.72/2.77 Generating proof ... found it (size 9609)
% 26.10/6.77
% 26.10/6.77 % SZS output start Proof for theBenchmark
% 26.10/6.77 Assumed formulas after preprocessing and simplification:
% 26.10/6.77 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : ? [v48] : ? [v49] : ? [v50] : ? [v51] : ? [v52] : ? [v53] : ? [v54] : ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : ? [v64] : ? [v65] : ? [v66] : ? [v67] : ? [v68] : ? [v69] : ? [v70] : ? [v71] : ? [v72] : ? [v73] : ? [v74] : ? [v75] : ? [v76] : ? [v77] : ? [v78] : ? [v79] : ? [v80] : ? [v81] : ? [v82] : ? [v83] : ? [v84] : ? [v85] : ? [v86] : ? [v87] : ? [v88] : ? [v89] : ? [v90] : ? [v91] : ? [v92] : ? [v93] : ? [v94] : ? [v95] : ? [v96] : ? [v97] : ? [v98] : ? [v99] : ? [v100] : ? [v101] : ? [v102] : ? [v103] : ? [v104] : ? [v105] : ? [v106] : ? [v107] : ? [v108] : ? [v109] : ? [v110] : ? [v111] : ? [v112] : ? [v113] : ? [v114] : ? [v115] : ? [v116] : ? [v117] : ? [v118] : ? [v119] : ? [v120] : ? [v121] : ? [v122] : ? [v123] : ? [v124] : ? [v125] : ? [v126] : ? [v127] : ? [v128] : ? [v129] : ? [v130] : ? [v131] : ? [v132] : ? [v133] : ? [v134] : ? [v135] : ? [v136] : ? [v137] : ? [v138] : ? [v139] : ? [v140] : ? [v141] : ? [v142] : ? [v143] : ? [v144] : ? [v145] : ? [v146] : ? [v147] : ? [v148] : ? [v149] : ? [v150] : ? [v151] : ? [v152] : ? [v153] : ? [v154] : ? [v155] : ? [v156] : ? [v157] : ? [v158] : ? [v159] : ? [v160] : ? [v161] : ? [v162] : ? [v163] : ? [v164] : ? [v165] : ? [v166] : ? [v167] : ? [v168] : ? [v169] : ? [v170] : ? [v171] : ? [v172] : ? [v173] : ? [v174] : ? [v175] : ? [v176] : ? [v177] : ? [v178] : ? [v179] : ? [v180] : ? [v181] : ? [v182] : ? [v183] : ? [v184] : ? [v185] : ? [v186] : ? [v187] : ? [v188] : ? [v189] : ? [v190] : ? [v191] : ? [v192] : ? [v193] : ? [v194] : ? [v195] : ? [v196] : ? [v197] : ? [v198] : ? [v199] : ? [v200] : ? [v201] : ? [v202] : ? [v203] : ? [v204] : ? [v205] : ? [v206] : ? [v207] : ? [v208] : ? [v209] : ? [v210] : ? [v211] : ? [v212] : ? [v213] : ? [v214] : ? [v215] : ? [v216] : ? [v217] : ? [v218] : ? [v219] : ? [v220] : ? [v221] : ? [v222] : ? [v223] : ? [v224] : ? [v225] : ? [v226] : ? [v227] : ? [v228] : ? [v229] : ? [v230] : ? [v231] : ? [v232] : ? [v233] : ? [v234] : ? [v235] : ? [v236] : ? [v237] : ? [v238] : ? [v239] : ? [v240] : ? [v241] : ? [v242] : ? [v243] : ? [v244] : ? [v245] : ? [v246] : ? [v247] : ? [v248] : ? [v249] : ? [v250] : ? [v251] : ? [v252] : ? [v253] : ? [v254] : ? [v255] : ? [v256] : ? [v257] : ( ~ (v23 = v22) & ~ (v23 = v21) & ~ (v23 = v20) & ~ (v23 = v19) & ~ (v23 = v15) & ~ (v23 = e20) & ~ (v22 = v21) & ~ (v22 = v20) & ~ (v22 = v18) & ~ (v22 = v14) & ~ (v22 = e21) & ~ (v21 = v20) & ~ (v21 = v17) & ~ (v21 = v13) & ~ (v21 = e23) & ~ (v20 = v16) & ~ (v20 = v12) & ~ (v20 = e22) & ~ (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v16) & ~ (v19 = v15) & ~ (v19 = e20) & ~ (v18 = v17) & ~ (v18 = v16) & ~ (v18 = v14) & ~ (v18 = e21) & ~ (v17 = v16) & ~ (v17 = v13) & ~ (v17 = e23) & ~ (v16 = v12) & ~ (v16 = e22) & ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~ (v15 = e20) & ~ (v14 = v13) & ~ (v14 = v12) & ~ (v14 = e21) & ~ (v13 = v12) & ~ (v13 = e23) & ~ (v12 = e22) & ~ (v11 = v10) & ~ (v11 = v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v11 = e10) & ~ (v10 = v9) & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v10 = e11) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) & ~ (v9 = e13) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v8 = e12) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v7 = e10) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v6 = e11) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v5 = e13) & ~ (v4 = v0) & ~ (v4 = e12) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v3 = e10) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v2 = e11) & ~ (v1 = v0) & ~ (v1 = e13) & ~ (v0 = e12) & ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e23 = e13) & ~ (e23 = e12) & ~ (e23 = e11) & ~ (e23 = e10) & ~ (e22 = e21) & ~ (e22 = e20) & ~ (e22 = e13) & ~ (e22 = e12) & ~ (e22 = e11) & ~ (e22 = e10) & ~ (e21 = e20) & ~ (e21 = e13) & ~ (e21 = e12) & ~ (e21 = e11) & ~ (e21 = e10) & ~ (e20 = e13) & ~ (e20 = e12) & ~ (e20 = e11) & ~ (e20 = e10) & ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = e10) & ~ (e11 = e10) & op1(v11, e13) = v56 & op1(v10, e13) = v53 & op1(v10, e12) = v54 & op1(v9, e13) = v50 & op1(v9, e11) = v51 & op1(v8, e13) = v47 & op1(v8, e10) = v48 & op1(v7, e13) = v45 & op1(v7, e12) = v44 & op1(v6, e12) = v42 & op1(v5, e12) = v39 & op1(v5, e11) = v40 & op1(v4, e12) = v36 & op1(v4, e10) = v37 & op1(v3, e13) = v34 & op1(v3, e11) = v33 & op1(v2, e12) = v31 & op1(v2, e11) = v30 & op1(v1, e11) = v28 & op1(v0, e11) = v25 & op1(v0, e10) = v26 & op1(e13, v11) = v55 & op1(e13, v10) = v52 & op1(e13, v9) = v49 & op1(e13, v8) = v46 & op1(e13, v7) = v80 & op1(e13, v6) = v77 & op1(e13, v5) = v74 & op1(e13, v4) = v71 & op1(e13, v3) = v68 & op1(e13, v2) = v65 & op1(e13, v1) = v62 & op1(e13, v0) = v59 & op1(e13, e13) = v11 & op1(e13, e12) = v10 & op1(e13, e11) = v9 & op1(e13, e10) = v8 & op1(e12, v11) = v92 & op1(e12, v10) = v89 & op1(e12, v9) = v86 & op1(e12, v8) = v83 & op1(e12, v7) = v43 & op1(e12, v6) = v41 & op1(e12, v5) = v38 & op1(e12, v4) = v35 & op1(e12, v3) = v67 & op1(e12, v2) = v64 & op1(e12, v1) = v61 & op1(e12, v0) = v58 & op1(e12, e13) = v7 & op1(e12, e12) = v6 & op1(e12, e11) = v5 & op1(e12, e10) = v4 & op1(e11, v11) = v91 & op1(e11, v10) = v88 & op1(e11, v9) = v85 & op1(e11, v8) = v82 & op1(e11, v7) = v79 & op1(e11, v6) = v76 & op1(e11, v5) = v73 & op1(e11, v4) = v70 & op1(e11, v3) = v32 & op1(e11, v2) = v29 & op1(e11, v1) = v27 & op1(e11, v0) = v24 & op1(e11, e13) = v3 & op1(e11, e12) = v2 & op1(e11, e11) = v1 & op1(e11, e10) = v0 & op1(e10, v11) = v90 & op1(e10, v10) = v87 & op1(e10, v9) = v84 & op1(e10, v8) = v81 & op1(e10, v7) = v78 & op1(e10, v6) = v75 & op1(e10, v5) = v72 & op1(e10, v4) = v69 & op1(e10, v3) = v66 & op1(e10, v2) = v63 & op1(e10, v1) = v60 & op1(e10, v0) = v57 & op1(e10, e13) = e10 & op1(e10, e12) = e11 & op1(e10, e11) = e13 & op1(e10, e10) = e12 & h1(v11) = v176 & h1(v10) = v175 & h1(v9) = v174 & h1(v8) = v173 & h1(v7) = v172 & h1(v6) = v171 & h1(v5) = v170 & h1(v4) = v169 & h1(v3) = v168 & h1(v2) = v167 & h1(v1) = v166 & h1(v0) = v165 & h1(e13) = e23 & h1(e12) = e22 & h1(e11) = e21 & h1(e10) = e20 & h2(v11) = v202 & h2(v10) = v200 & h2(v9) = v198 & h2(v8) = v196 & h2(v7) = v194 & h2(v6) = v192 & h2(v5) = v190 & h2(v4) = v188 & h2(v3) = v186 & h2(v2) = v184 & h2(v1) = v182 & h2(v0) = v180 & h2(e13) = v162 & h2(e12) = v13 & h2(e11) = v96 & h2(e10) = e21 & h3(v11) = v229 & h3(v10) = v227 & h3(v9) = v225 & h3(v8) = v223 & h3(v7) = v221 & h3(v6) = v219 & h3(v5) = v217 & h3(v4) = v215 & h3(v3) = v213 & h3(v2) = v211 & h3(v1) = v209 & h3(v0) = v207 & h3(e13) = v163 & h3(e12) = v18 & h3(e11) = v110 & h3(e10) = e22 & h4(v11) = v256 & h4(v10) = v254 & h4(v9) = v252 & h4(v8) = v250 & h4(v7) = v248 & h4(v6) = v246 & h4(v5) = v244 & h4(v4) = v242 & h4(v3) = v240 & h4(v2) = v238 & h4(v1) = v236 & h4(v0) = v234 & h4(e13) = v164 & h4(e12) = v23 & h4(e11) = v124 & h4(e10) = e23 & op2(v164, v164) = v257 & op2(v164, v124) = v253 & op2(v164, v23) = v255 & op2(v164, e23) = v251 & op2(v163, v163) = v230 & op2(v163, v110) = v226 & op2(v163, v18) = v228 & op2(v163, e22) = v224 & op2(v162, v162) = v203 & op2(v162, v96) = v199 & op2(v162, v13) = v201 & op2(v162, e21) = v197 & op2(v124, v164) = v241 & op2(v124, v124) = v237 & op2(v124, v23) = v239 & op2(v124, e23) = v235 & op2(v110, v163) = v214 & op2(v110, v110) = v210 & op2(v110, v18) = v212 & op2(v110, e22) = v208 & op2(v96, v162) = v187 & op2(v96, v96) = v183 & op2(v96, v13) = v185 & op2(v96, e21) = v181 & op2(v23, v164) = v249 & op2(v23, v124) = v245 & op2(v23, v23) = v247 & op2(v23, e23) = v243 & op2(v23, e23) = v125 & op2(v22, e23) = v122 & op2(v22, e22) = v123 & op2(v21, e23) = v119 & op2(v21, e21) = v120 & op2(v20, e23) = v116 & op2(v20, e20) = v117 & op2(v19, e23) = v114 & op2(v19, e22) = v113 & op2(v18, v163) = v222 & op2(v18, v110) = v218 & op2(v18, v18) = v220 & op2(v18, e22) = v216 & op2(v18, e22) = v111 & op2(v17, e22) = v108 & op2(v17, e21) = v109 & op2(v16, e22) = v105 & op2(v16, e20) = v106 & op2(v15, e23) = v103 & op2(v15, e21) = v102 & op2(v14, e22) = v100 & op2(v14, e21) = v99 & op2(v13, v162) = v195 & op2(v13, v96) = v191 & op2(v13, v13) = v193 & op2(v13, e21) = v189 & op2(v13, e21) = v97 & op2(v12, e21) = v94 & op2(v12, e20) = v95 & op2(e23, v164) = v233 & op2(e23, v124) = v231 & op2(e23, v124) = v164 & op2(e23, v23) = v232 & op2(e23, v23) = v124 & op2(e23, v22) = v121 & op2(e23, v21) = v118 & op2(e23, v20) = v115 & op2(e23, v19) = v149 & op2(e23, v18) = v146 & op2(e23, v17) = v143 & op2(e23, v16) = v140 & op2(e23, v15) = v137 & op2(e23, v14) = v134 & op2(e23, v13) = v131 & op2(e23, v12) = v128 & op2(e23, e23) = v23 & op2(e23, e22) = v22 & op2(e23, e21) = v21 & op2(e23, e20) = v20 & op2(e22, v163) = v206 & op2(e22, v110) = v204 & op2(e22, v110) = v163 & op2(e22, v23) = v161 & op2(e22, v22) = v158 & op2(e22, v21) = v155 & op2(e22, v20) = v152 & op2(e22, v19) = v112 & op2(e22, v18) = v205 & op2(e22, v18) = v110 & op2(e22, v17) = v107 & op2(e22, v16) = v104 & op2(e22, v15) = v136 & op2(e22, v14) = v133 & op2(e22, v13) = v130 & op2(e22, v12) = v127 & op2(e22, e23) = v19 & op2(e22, e22) = v18 & op2(e22, e21) = v17 & op2(e22, e20) = v16 & op2(e21, v162) = v179 & op2(e21, v96) = v177 & op2(e21, v96) = v162 & op2(e21, v23) = v160 & op2(e21, v22) = v157 & op2(e21, v21) = v154 & op2(e21, v20) = v151 & op2(e21, v19) = v148 & op2(e21, v18) = v145 & op2(e21, v17) = v142 & op2(e21, v16) = v139 & op2(e21, v15) = v101 & op2(e21, v14) = v98 & op2(e21, v13) = v178 & op2(e21, v13) = v96 & op2(e21, v12) = v93 & op2(e21, e23) = v15 & op2(e21, e22) = v14 & op2(e21, e21) = v13 & op2(e21, e20) = v12 & op2(e20, v23) = v159 & op2(e20, v22) = v156 & op2(e20, v21) = v153 & op2(e20, v20) = v150 & op2(e20, v19) = v147 & op2(e20, v18) = v144 & op2(e20, v17) = v141 & op2(e20, v16) = v138 & op2(e20, v15) = v135 & op2(e20, v14) = v132 & op2(e20, v13) = v129 & op2(e20, v12) = v126 & op2(e20, e23) = e20 & op2(e20, e22) = e21 & op2(e20, e21) = e23 & op2(e20, e20) = e22 & ! [v258] : ! [v259] : ! [v260] : ! [v261] : (v259 = v258 | ~ (op1(v261, v260) = v259) | ~ (op1(v261, v260) = v258)) & ! [v258] : ! [v259] : ! [v260] : ! [v261] : (v259 = v258 | ~ (op2(v261, v260) = v259) | ~ (op2(v261, v260) = v258)) & ! [v258] : ! [v259] : ! [v260] : (v259 = v258 | ~ (h1(v260) = v259) | ~ (h1(v260) = v258)) & ! [v258] : ! [v259] : ! [v260] : (v259 = v258 | ~ (h2(v260) = v259) | ~ (h2(v260) = v258)) & ! [v258] : ! [v259] : ! [v260] : (v259 = v258 | ~ (h3(v260) = v259) | ~ (h3(v260) = v258)) & ! [v258] : ! [v259] : ! [v260] : (v259 = v258 | ~ (h4(v260) = v259) | ~ (h4(v260) = v258)) & ( ~ (v257 = v256) | ~ (v255 = v254) | ~ (v253 = v252) | ~ (v251 = v250) | ~ (v249 = v248) | ~ (v247 = v246) | ~ (v245 = v244) | ~ (v243 = v242) | ~ (v241 = v240) | ~ (v239 = v238) | ~ (v237 = v236) | ~ (v235 = v234) | ~ (v233 = e23) | ~ (v232 = v124) | ~ (v231 = v164) | ( ~ (v164 = e22) & ~ (v124 = e22) & ~ (v23 = e22)) | ( ~ (v164 = e21) & ~ (v124 = e21) & ~ (v23 = e21)) | ( ~ (v164 = e20) & ~ (v124 = e20))) & ( ~ (v230 = v229) | ~ (v228 = v227) | ~ (v226 = v225) | ~ (v224 = v223) | ~ (v222 = v221) | ~ (v220 = v219) | ~ (v218 = v217) | ~ (v216 = v215) | ~ (v214 = v213) | ~ (v212 = v211) | ~ (v210 = v209) | ~ (v208 = v207) | ~ (v206 = e22) | ~ (v205 = v110) | ~ (v204 = v163) | ( ~ (v163 = e23) & ~ (v110 = e23) & ~ (v18 = e23)) | ( ~ (v163 = e21) & ~ (v110 = e21)) | ( ~ (v163 = e20) & ~ (v110 = e20) & ~ (v18 = e20))) & ( ~ (v203 = v202) | ~ (v201 = v200) | ~ (v199 = v198) | ~ (v197 = v196) | ~ (v195 = v194) | ~ (v193 = v192) | ~ (v191 = v190) | ~ (v189 = v188) | ~ (v187 = v186) | ~ (v185 = v184) | ~ (v183 = v182) | ~ (v181 = v180) | ~ (v179 = e21) | ~ (v178 = v96) | ~ (v177 = v162) | ( ~ (v162 = e23) & ~ (v96 = e23)) | ( ~ (v162 = e22) & ~ (v96 = e22) & ~ (v13 = e22)) | ( ~ (v162 = e20) & ~ (v96 = e20) & ~ (v13 = e20))) & ( ~ (v176 = v23) | ~ (v175 = v22) | ~ (v174 = v21) | ~ (v173 = v20) | ~ (v172 = v19) | ~ (v171 = v18) | ~ (v170 = v17) | ~ (v169 = v16) | ~ (v168 = v15) | ~ (v167 = v14) | ~ (v166 = v13) | ~ (v165 = v12)) & (v23 = e23 | v23 = e22 | v23 = e21) & (v23 = e23 | v22 = e23 | v20 = e23) & (v23 = e23 | v19 = e23 | v15 = e23) & (v23 = e22 | v22 = e22 | v21 = e22) & (v23 = e22 | v19 = e22 | v15 = e22) & (v23 = e21 | v21 = e21 | v20 = e21) & (v23 = e21 | v19 = e21 | v15 = e21) & (v22 = e23 | v22 = e22 | v22 = e20) & (v22 = e23 | v18 = e23 | v14 = e23) & (v22 = e22 | v18 = e22 | v14 = e22) & (v22 = e20 | v21 = e20 | v20 = e20) & (v22 = e20 | v18 = e20 | v14 = e20) & (v21 = e22 | v21 = e21 | v21 = e20) & (v21 = e22 | v17 = e22 | v13 = e22) & (v21 = e21 | v17 = e21 | v13 = e21) & (v21 = e20 | v17 = e20 | v13 = e20) & (v20 = e23 | v20 = e21 | v20 = e20) & (v20 = e23 | v16 = e23 | v12 = e23) & (v20 = e21 | v16 = e21 | v12 = e21) & (v20 = e20 | v16 = e20 | v12 = e20) & (v19 = e23 | v19 = e22 | v19 = e21) & (v19 = e23 | v18 = e23 | v16 = e23) & (v19 = e22 | v18 = e22 | v17 = e22) & (v19 = e21 | v17 = e21 | v16 = e21) & (v18 = e23 | v18 = e22 | v18 = e20) & (v18 = e20 | v17 = e20 | v16 = e20) & (v17 = e22 | v17 = e21 | v17 = e20) & (v16 = e23 | v16 = e21 | v16 = e20) & (v15 = e23 | v15 = e22 | v15 = e21) & (v15 = e23 | v14 = e23 | v12 = e23) & (v15 = e22 | v14 = e22 | v13 = e22) & (v15 = e21 | v13 = e21 | v12 = e21) & (v14 = e23 | v14 = e22 | v14 = e20) & (v14 = e20 | v13 = e20 | v12 = e20) & (v13 = e22 | v13 = e21 | v13 = e20) & (v12 = e23 | v12 = e21 | v12 = e20) & (v11 = e13 | v11 = e12 | v11 = e11) & (v11 = e13 | v10 = e13 | v8 = e13) & (v11 = e13 | v7 = e13 | v3 = e13) & (v11 = e12 | v10 = e12 | v9 = e12) & (v11 = e12 | v7 = e12 | v3 = e12) & (v11 = e11 | v9 = e11 | v8 = e11) & (v11 = e11 | v7 = e11 | v3 = e11) & (v10 = e13 | v10 = e12 | v10 = e10) & (v10 = e13 | v6 = e13 | v2 = e13) & (v10 = e12 | v6 = e12 | v2 = e12) & (v10 = e10 | v9 = e10 | v8 = e10) & (v10 = e10 | v6 = e10 | v2 = e10) & (v9 = e12 | v9 = e11 | v9 = e10) & (v9 = e12 | v5 = e12 | v1 = e12) & (v9 = e11 | v5 = e11 | v1 = e11) & (v9 = e10 | v5 = e10 | v1 = e10) & (v8 = e13 | v8 = e11 | v8 = e10) & (v8 = e13 | v4 = e13 | v0 = e13) & (v8 = e11 | v4 = e11 | v0 = e11) & (v8 = e10 | v4 = e10 | v0 = e10) & (v7 = e13 | v7 = e12 | v7 = e11) & (v7 = e13 | v6 = e13 | v4 = e13) & (v7 = e12 | v6 = e12 | v5 = e12) & (v7 = e11 | v5 = e11 | v4 = e11) & (v6 = e13 | v6 = e12 | v6 = e10) & (v6 = e10 | v5 = e10 | v4 = e10) & (v5 = e12 | v5 = e11 | v5 = e10) & (v4 = e13 | v4 = e11 | v4 = e10) & (v3 = e13 | v3 = e12 | v3 = e11) & (v3 = e13 | v2 = e13 | v0 = e13) & (v3 = e12 | v2 = e12 | v1 = e12) & (v3 = e11 | v1 = e11 | v0 = e11) & (v2 = e13 | v2 = e12 | v2 = e10) & (v2 = e10 | v1 = e10 | v0 = e10) & (v1 = e12 | v1 = e11 | v1 = e10) & (v0 = e13 | v0 = e11 | v0 = e10) & ((v122 = e22 & ~ (v123 = e23) & ~ (v121 = e22)) | (v119 = e21 & ~ (v120 = e23) & ~ (v118 = e21)) | (v116 = e20 & ~ (v117 = e23) & ~ (v115 = e20)) | (v113 = e23 & ~ (v114 = e22) & ~ (v112 = e23)) | (v108 = e21 & ~ (v109 = e22) & ~ (v107 = e21)) | (v105 = e20 & ~ (v106 = e22) & ~ (v104 = e20)) | (v102 = e23 & ~ (v103 = e21) & ~ (v101 = e23)) | (v99 = e22 & ~ (v100 = e21) & ~ (v98 = e22)) | (v94 = e20 & ~ (v95 = e21) & ~ (v93 = e20)) | (v20 = e21 & ~ (v21 = e20))) & ((v53 = e12 & ~ (v54 = e13) & ~ (v52 = e12)) | (v50 = e11 & ~ (v51 = e13) & ~ (v49 = e11)) | (v47 = e10 & ~ (v48 = e13) & ~ (v46 = e10)) | (v44 = e13 & ~ (v45 = e12) & ~ (v43 = e13)) | (v39 = e11 & ~ (v40 = e12) & ~ (v38 = e11)) | (v36 = e10 & ~ (v37 = e12) & ~ (v35 = e10)) | (v33 = e13 & ~ (v34 = e11) & ~ (v32 = e13)) | (v30 = e12 & ~ (v31 = e11) & ~ (v29 = e12)) | (v25 = e10 & ~ (v26 = e11) & ~ (v24 = e10)) | (v8 = e11 & ~ (v9 = e10))) & ((v22 = v19 & ~ (v158 = e22) & ~ (v157 = e21) & ~ (v156 = e20) & ~ (v121 = e23)) | (v22 = v19 & ~ (v149 = e23) & ~ (v148 = e21) & ~ (v147 = e20) & ~ (v112 = e22)) | (v21 = v15 & ~ (v155 = e22) & ~ (v154 = e21) & ~ (v153 = e20) & ~ (v118 = e23)) | (v21 = v15 & ~ (v137 = e23) & ~ (v136 = e22) & ~ (v135 = e20) & ~ (v101 = e21)) | (v20 = e20 & ~ (v152 = e22) & ~ (v151 = e21) & ~ (v150 = e20) & ~ (v115 = e23)) | (v20 = e20 & ~ (v12 = e21)) | (v17 = v14 & ~ (v143 = e23) & ~ (v142 = e21) & ~ (v141 = e20) & ~ (v107 = e22)) | (v17 = v14 & ~ (v134 = e23) & ~ (v133 = e22) & ~ (v132 = e20) & ~ (v98 = e21)) | (v16 = e21 & ~ (v140 = e23) & ~ (v139 = e21) & ~ (v138 = e20) & ~ (v104 = e22)) | (v16 = e21 & ~ (v17 = e22) & ~ (v13 = e21)) | (v12 = e23 & ~ (v128 = e23) & ~ (v127 = e22) & ~ (v126 = e20) & ~ (v93 = e21)) | ( ~ (v161 = e22) & ~ (v160 = e21) & ~ (v159 = e20) & ~ (v124 = e23)) | ( ~ (v146 = e23) & ~ (v145 = e21) & ~ (v144 = e20) & ~ (v110 = e22)) | ( ~ (v131 = e23) & ~ (v130 = e22) & ~ (v129 = e20) & ~ (v96 = e21)) | ( ~ (v22 = e23) & ~ (v18 = e22))) & ((v10 = v7 & ~ (v89 = e12) & ~ (v88 = e11) & ~ (v87 = e10) & ~ (v52 = e13)) | (v10 = v7 & ~ (v80 = e13) & ~ (v79 = e11) & ~ (v78 = e10) & ~ (v43 = e12)) | (v9 = v3 & ~ (v86 = e12) & ~ (v85 = e11) & ~ (v84 = e10) & ~ (v49 = e13)) | (v9 = v3 & ~ (v68 = e13) & ~ (v67 = e12) & ~ (v66 = e10) & ~ (v32 = e11)) | (v8 = e10 & ~ (v83 = e12) & ~ (v82 = e11) & ~ (v81 = e10) & ~ (v46 = e13)) | (v8 = e10 & ~ (v0 = e11)) | (v5 = v2 & ~ (v74 = e13) & ~ (v73 = e11) & ~ (v72 = e10) & ~ (v38 = e12)) | (v5 = v2 & ~ (v65 = e13) & ~ (v64 = e12) & ~ (v63 = e10) & ~ (v29 = e11)) | (v4 = e11 & ~ (v71 = e13) & ~ (v70 = e11) & ~ (v69 = e10) & ~ (v35 = e12)) | (v4 = e11 & ~ (v5 = e12) & ~ (v1 = e11)) | (v0 = e13 & ~ (v59 = e13) & ~ (v58 = e12) & ~ (v57 = e10) & ~ (v24 = e11)) | ( ~ (v92 = e12) & ~ (v91 = e11) & ~ (v90 = e10) & ~ (v55 = e13)) | ( ~ (v77 = e13) & ~ (v76 = e11) & ~ (v75 = e10) & ~ (v41 = e12)) | ( ~ (v62 = e13) & ~ (v61 = e12) & ~ (v60 = e10) & ~ (v27 = e11)) | ( ~ (v10 = e13) & ~ (v6 = e12))))
% 26.58/6.85 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18, all_0_19_19, all_0_20_20, all_0_21_21, all_0_22_22, all_0_23_23, all_0_24_24, all_0_25_25, all_0_26_26, all_0_27_27, all_0_28_28, all_0_29_29, all_0_30_30, all_0_31_31, all_0_32_32, all_0_33_33, all_0_34_34, all_0_35_35, all_0_36_36, all_0_37_37, all_0_38_38, all_0_39_39, all_0_40_40, all_0_41_41, all_0_42_42, all_0_43_43, all_0_44_44, all_0_45_45, all_0_46_46, all_0_47_47, all_0_48_48, all_0_49_49, all_0_50_50, all_0_51_51, all_0_52_52, all_0_53_53, all_0_54_54, all_0_55_55, all_0_56_56, all_0_57_57, all_0_58_58, all_0_59_59, all_0_60_60, all_0_61_61, all_0_62_62, all_0_63_63, all_0_64_64, all_0_65_65, all_0_66_66, all_0_67_67, all_0_68_68, all_0_69_69, all_0_70_70, all_0_71_71, all_0_72_72, all_0_73_73, all_0_74_74, all_0_75_75, all_0_76_76, all_0_77_77, all_0_78_78, all_0_79_79, all_0_80_80, all_0_81_81, all_0_82_82, all_0_83_83, all_0_84_84, all_0_85_85, all_0_86_86, all_0_87_87, all_0_88_88, all_0_89_89, all_0_90_90, all_0_91_91, all_0_92_92, all_0_93_93, all_0_94_94, all_0_95_95, all_0_96_96, all_0_97_97, all_0_98_98, all_0_99_99, all_0_100_100, all_0_101_101, all_0_102_102, all_0_103_103, all_0_104_104, all_0_105_105, all_0_106_106, all_0_107_107, all_0_108_108, all_0_109_109, all_0_110_110, all_0_111_111, all_0_112_112, all_0_113_113, all_0_114_114, all_0_115_115, all_0_116_116, all_0_117_117, all_0_118_118, all_0_119_119, all_0_120_120, all_0_121_121, all_0_122_122, all_0_123_123, all_0_124_124, all_0_125_125, all_0_126_126, all_0_127_127, all_0_128_128, all_0_129_129, all_0_130_130, all_0_131_131, all_0_132_132, all_0_133_133, all_0_134_134, all_0_135_135, all_0_136_136, all_0_137_137, all_0_138_138, all_0_139_139, all_0_140_140, all_0_141_141, all_0_142_142, all_0_143_143, all_0_144_144, all_0_145_145, all_0_146_146, all_0_147_147, all_0_148_148, all_0_149_149, all_0_150_150, all_0_151_151, all_0_152_152, all_0_153_153, all_0_154_154, all_0_155_155, all_0_156_156, all_0_157_157, all_0_158_158, all_0_159_159, all_0_160_160, all_0_161_161, all_0_162_162, all_0_163_163, all_0_164_164, all_0_165_165, all_0_166_166, all_0_167_167, all_0_168_168, all_0_169_169, all_0_170_170, all_0_171_171, all_0_172_172, all_0_173_173, all_0_174_174, all_0_175_175, all_0_176_176, all_0_177_177, all_0_178_178, all_0_179_179, all_0_180_180, all_0_181_181, all_0_182_182, all_0_183_183, all_0_184_184, all_0_185_185, all_0_186_186, all_0_187_187, all_0_188_188, all_0_189_189, all_0_190_190, all_0_191_191, all_0_192_192, all_0_193_193, all_0_194_194, all_0_195_195, all_0_196_196, all_0_197_197, all_0_198_198, all_0_199_199, all_0_200_200, all_0_201_201, all_0_202_202, all_0_203_203, all_0_204_204, all_0_205_205, all_0_206_206, all_0_207_207, all_0_208_208, all_0_209_209, all_0_210_210, all_0_211_211, all_0_212_212, all_0_213_213, all_0_214_214, all_0_215_215, all_0_216_216, all_0_217_217, all_0_218_218, all_0_219_219, all_0_220_220, all_0_221_221, all_0_222_222, all_0_223_223, all_0_224_224, all_0_225_225, all_0_226_226, all_0_227_227, all_0_228_228, all_0_229_229, all_0_230_230, all_0_231_231, all_0_232_232, all_0_233_233, all_0_234_234, all_0_235_235, all_0_236_236, all_0_237_237, all_0_238_238, all_0_239_239, all_0_240_240, all_0_241_241, all_0_242_242, all_0_243_243, all_0_244_244, all_0_245_245, all_0_246_246, all_0_247_247, all_0_248_248, all_0_249_249, all_0_250_250, all_0_251_251, all_0_252_252, all_0_253_253, all_0_254_254, all_0_255_255, all_0_256_256, all_0_257_257 yields:
% 26.58/6.85 | (1) ~ (all_0_234_234 = all_0_235_235) & ~ (all_0_234_234 = all_0_236_236) & ~ (all_0_234_234 = all_0_237_237) & ~ (all_0_234_234 = all_0_238_238) & ~ (all_0_234_234 = all_0_242_242) & ~ (all_0_234_234 = e20) & ~ (all_0_235_235 = all_0_236_236) & ~ (all_0_235_235 = all_0_237_237) & ~ (all_0_235_235 = all_0_239_239) & ~ (all_0_235_235 = all_0_243_243) & ~ (all_0_235_235 = e21) & ~ (all_0_236_236 = all_0_237_237) & ~ (all_0_236_236 = all_0_240_240) & ~ (all_0_236_236 = all_0_244_244) & ~ (all_0_236_236 = e23) & ~ (all_0_237_237 = all_0_241_241) & ~ (all_0_237_237 = all_0_245_245) & ~ (all_0_237_237 = e22) & ~ (all_0_238_238 = all_0_239_239) & ~ (all_0_238_238 = all_0_240_240) & ~ (all_0_238_238 = all_0_241_241) & ~ (all_0_238_238 = all_0_242_242) & ~ (all_0_238_238 = e20) & ~ (all_0_239_239 = all_0_240_240) & ~ (all_0_239_239 = all_0_241_241) & ~ (all_0_239_239 = all_0_243_243) & ~ (all_0_239_239 = e21) & ~ (all_0_240_240 = all_0_241_241) & ~ (all_0_240_240 = all_0_244_244) & ~ (all_0_240_240 = e23) & ~ (all_0_241_241 = all_0_245_245) & ~ (all_0_241_241 = e22) & ~ (all_0_242_242 = all_0_243_243) & ~ (all_0_242_242 = all_0_244_244) & ~ (all_0_242_242 = all_0_245_245) & ~ (all_0_242_242 = e20) & ~ (all_0_243_243 = all_0_244_244) & ~ (all_0_243_243 = all_0_245_245) & ~ (all_0_243_243 = e21) & ~ (all_0_244_244 = all_0_245_245) & ~ (all_0_244_244 = e23) & ~ (all_0_245_245 = e22) & ~ (all_0_246_246 = all_0_247_247) & ~ (all_0_246_246 = all_0_248_248) & ~ (all_0_246_246 = all_0_249_249) & ~ (all_0_246_246 = all_0_250_250) & ~ (all_0_246_246 = all_0_254_254) & ~ (all_0_246_246 = e10) & ~ (all_0_247_247 = all_0_248_248) & ~ (all_0_247_247 = all_0_249_249) & ~ (all_0_247_247 = all_0_251_251) & ~ (all_0_247_247 = all_0_255_255) & ~ (all_0_247_247 = e11) & ~ (all_0_248_248 = all_0_249_249) & ~ (all_0_248_248 = all_0_252_252) & ~ (all_0_248_248 = all_0_256_256) & ~ (all_0_248_248 = e13) & ~ (all_0_249_249 = all_0_253_253) & ~ (all_0_249_249 = all_0_257_257) & ~ (all_0_249_249 = e12) & ~ (all_0_250_250 = all_0_251_251) & ~ (all_0_250_250 = all_0_252_252) & ~ (all_0_250_250 = all_0_253_253) & ~ (all_0_250_250 = all_0_254_254) & ~ (all_0_250_250 = e10) & ~ (all_0_251_251 = all_0_252_252) & ~ (all_0_251_251 = all_0_253_253) & ~ (all_0_251_251 = all_0_255_255) & ~ (all_0_251_251 = e11) & ~ (all_0_252_252 = all_0_253_253) & ~ (all_0_252_252 = all_0_256_256) & ~ (all_0_252_252 = e13) & ~ (all_0_253_253 = all_0_257_257) & ~ (all_0_253_253 = e12) & ~ (all_0_254_254 = all_0_255_255) & ~ (all_0_254_254 = all_0_256_256) & ~ (all_0_254_254 = all_0_257_257) & ~ (all_0_254_254 = e10) & ~ (all_0_255_255 = all_0_256_256) & ~ (all_0_255_255 = all_0_257_257) & ~ (all_0_255_255 = e11) & ~ (all_0_256_256 = all_0_257_257) & ~ (all_0_256_256 = e13) & ~ (all_0_257_257 = e12) & ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e23 = e13) & ~ (e23 = e12) & ~ (e23 = e11) & ~ (e23 = e10) & ~ (e22 = e21) & ~ (e22 = e20) & ~ (e22 = e13) & ~ (e22 = e12) & ~ (e22 = e11) & ~ (e22 = e10) & ~ (e21 = e20) & ~ (e21 = e13) & ~ (e21 = e12) & ~ (e21 = e11) & ~ (e21 = e10) & ~ (e20 = e13) & ~ (e20 = e12) & ~ (e20 = e11) & ~ (e20 = e10) & ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = e10) & ~ (e11 = e10) & op1(all_0_246_246, e13) = all_0_201_201 & op1(all_0_247_247, e13) = all_0_204_204 & op1(all_0_247_247, e12) = all_0_203_203 & op1(all_0_248_248, e13) = all_0_207_207 & op1(all_0_248_248, e11) = all_0_206_206 & op1(all_0_249_249, e13) = all_0_210_210 & op1(all_0_249_249, e10) = all_0_209_209 & op1(all_0_250_250, e13) = all_0_212_212 & op1(all_0_250_250, e12) = all_0_213_213 & op1(all_0_251_251, e12) = all_0_215_215 & op1(all_0_252_252, e12) = all_0_218_218 & op1(all_0_252_252, e11) = all_0_217_217 & op1(all_0_253_253, e12) = all_0_221_221 & op1(all_0_253_253, e10) = all_0_220_220 & op1(all_0_254_254, e13) = all_0_223_223 & op1(all_0_254_254, e11) = all_0_224_224 & op1(all_0_255_255, e12) = all_0_226_226 & op1(all_0_255_255, e11) = all_0_227_227 & op1(all_0_256_256, e11) = all_0_229_229 & op1(all_0_257_257, e11) = all_0_232_232 & op1(all_0_257_257, e10) = all_0_231_231 & op1(e13, all_0_246_246) = all_0_202_202 & op1(e13, all_0_247_247) = all_0_205_205 & op1(e13, all_0_248_248) = all_0_208_208 & op1(e13, all_0_249_249) = all_0_211_211 & op1(e13, all_0_250_250) = all_0_177_177 & op1(e13, all_0_251_251) = all_0_180_180 & op1(e13, all_0_252_252) = all_0_183_183 & op1(e13, all_0_253_253) = all_0_186_186 & op1(e13, all_0_254_254) = all_0_189_189 & op1(e13, all_0_255_255) = all_0_192_192 & op1(e13, all_0_256_256) = all_0_195_195 & op1(e13, all_0_257_257) = all_0_198_198 & op1(e13, e13) = all_0_246_246 & op1(e13, e12) = all_0_247_247 & op1(e13, e11) = all_0_248_248 & op1(e13, e10) = all_0_249_249 & op1(e12, all_0_246_246) = all_0_165_165 & op1(e12, all_0_247_247) = all_0_168_168 & op1(e12, all_0_248_248) = all_0_171_171 & op1(e12, all_0_249_249) = all_0_174_174 & op1(e12, all_0_250_250) = all_0_214_214 & op1(e12, all_0_251_251) = all_0_216_216 & op1(e12, all_0_252_252) = all_0_219_219 & op1(e12, all_0_253_253) = all_0_222_222 & op1(e12, all_0_254_254) = all_0_190_190 & op1(e12, all_0_255_255) = all_0_193_193 & op1(e12, all_0_256_256) = all_0_196_196 & op1(e12, all_0_257_257) = all_0_199_199 & op1(e12, e13) = all_0_250_250 & op1(e12, e12) = all_0_251_251 & op1(e12, e11) = all_0_252_252 & op1(e12, e10) = all_0_253_253 & op1(e11, all_0_246_246) = all_0_166_166 & op1(e11, all_0_247_247) = all_0_169_169 & op1(e11, all_0_248_248) = all_0_172_172 & op1(e11, all_0_249_249) = all_0_175_175 & op1(e11, all_0_250_250) = all_0_178_178 & op1(e11, all_0_251_251) = all_0_181_181 & op1(e11, all_0_252_252) = all_0_184_184 & op1(e11, all_0_253_253) = all_0_187_187 & op1(e11, all_0_254_254) = all_0_225_225 & op1(e11, all_0_255_255) = all_0_228_228 & op1(e11, all_0_256_256) = all_0_230_230 & op1(e11, all_0_257_257) = all_0_233_233 & op1(e11, e13) = all_0_254_254 & op1(e11, e12) = all_0_255_255 & op1(e11, e11) = all_0_256_256 & op1(e11, e10) = all_0_257_257 & op1(e10, all_0_246_246) = all_0_167_167 & op1(e10, all_0_247_247) = all_0_170_170 & op1(e10, all_0_248_248) = all_0_173_173 & op1(e10, all_0_249_249) = all_0_176_176 & op1(e10, all_0_250_250) = all_0_179_179 & op1(e10, all_0_251_251) = all_0_182_182 & op1(e10, all_0_252_252) = all_0_185_185 & op1(e10, all_0_253_253) = all_0_188_188 & op1(e10, all_0_254_254) = all_0_191_191 & op1(e10, all_0_255_255) = all_0_194_194 & op1(e10, all_0_256_256) = all_0_197_197 & op1(e10, all_0_257_257) = all_0_200_200 & op1(e10, e13) = e10 & op1(e10, e12) = e11 & op1(e10, e11) = e13 & op1(e10, e10) = e12 & h1(all_0_246_246) = all_0_81_81 & h1(all_0_247_247) = all_0_82_82 & h1(all_0_248_248) = all_0_83_83 & h1(all_0_249_249) = all_0_84_84 & h1(all_0_250_250) = all_0_85_85 & h1(all_0_251_251) = all_0_86_86 & h1(all_0_252_252) = all_0_87_87 & h1(all_0_253_253) = all_0_88_88 & h1(all_0_254_254) = all_0_89_89 & h1(all_0_255_255) = all_0_90_90 & h1(all_0_256_256) = all_0_91_91 & h1(all_0_257_257) = all_0_92_92 & h1(e13) = e23 & h1(e12) = e22 & h1(e11) = e21 & h1(e10) = e20 & h2(all_0_246_246) = all_0_55_55 & h2(all_0_247_247) = all_0_57_57 & h2(all_0_248_248) = all_0_59_59 & h2(all_0_249_249) = all_0_61_61 & h2(all_0_250_250) = all_0_63_63 & h2(all_0_251_251) = all_0_65_65 & h2(all_0_252_252) = all_0_67_67 & h2(all_0_253_253) = all_0_69_69 & h2(all_0_254_254) = all_0_71_71 & h2(all_0_255_255) = all_0_73_73 & h2(all_0_256_256) = all_0_75_75 & h2(all_0_257_257) = all_0_77_77 & h2(e13) = all_0_95_95 & h2(e12) = all_0_244_244 & h2(e11) = all_0_161_161 & h2(e10) = e21 & h3(all_0_246_246) = all_0_28_28 & h3(all_0_247_247) = all_0_30_30 & h3(all_0_248_248) = all_0_32_32 & h3(all_0_249_249) = all_0_34_34 & h3(all_0_250_250) = all_0_36_36 & h3(all_0_251_251) = all_0_38_38 & h3(all_0_252_252) = all_0_40_40 & h3(all_0_253_253) = all_0_42_42 & h3(all_0_254_254) = all_0_44_44 & h3(all_0_255_255) = all_0_46_46 & h3(all_0_256_256) = all_0_48_48 & h3(all_0_257_257) = all_0_50_50 & h3(e13) = all_0_94_94 & h3(e12) = all_0_239_239 & h3(e11) = all_0_147_147 & h3(e10) = e22 & h4(all_0_246_246) = all_0_1_1 & h4(all_0_247_247) = all_0_3_3 & h4(all_0_248_248) = all_0_5_5 & h4(all_0_249_249) = all_0_7_7 & h4(all_0_250_250) = all_0_9_9 & h4(all_0_251_251) = all_0_11_11 & h4(all_0_252_252) = all_0_13_13 & h4(all_0_253_253) = all_0_15_15 & h4(all_0_254_254) = all_0_17_17 & h4(all_0_255_255) = all_0_19_19 & h4(all_0_256_256) = all_0_21_21 & h4(all_0_257_257) = all_0_23_23 & h4(e13) = all_0_93_93 & h4(e12) = all_0_234_234 & h4(e11) = all_0_133_133 & h4(e10) = e23 & op2(all_0_93_93, all_0_93_93) = all_0_0_0 & op2(all_0_93_93, all_0_133_133) = all_0_4_4 & op2(all_0_93_93, all_0_234_234) = all_0_2_2 & op2(all_0_93_93, e23) = all_0_6_6 & op2(all_0_94_94, all_0_94_94) = all_0_27_27 & op2(all_0_94_94, all_0_147_147) = all_0_31_31 & op2(all_0_94_94, all_0_239_239) = all_0_29_29 & op2(all_0_94_94, e22) = all_0_33_33 & op2(all_0_95_95, all_0_95_95) = all_0_54_54 & op2(all_0_95_95, all_0_161_161) = all_0_58_58 & op2(all_0_95_95, all_0_244_244) = all_0_56_56 & op2(all_0_95_95, e21) = all_0_60_60 & op2(all_0_133_133, all_0_93_93) = all_0_16_16 & op2(all_0_133_133, all_0_133_133) = all_0_20_20 & op2(all_0_133_133, all_0_234_234) = all_0_18_18 & op2(all_0_133_133, e23) = all_0_22_22 & op2(all_0_147_147, all_0_94_94) = all_0_43_43 & op2(all_0_147_147, all_0_147_147) = all_0_47_47 & op2(all_0_147_147, all_0_239_239) = all_0_45_45 & op2(all_0_147_147, e22) = all_0_49_49 & op2(all_0_161_161, all_0_95_95) = all_0_70_70 & op2(all_0_161_161, all_0_161_161) = all_0_74_74 & op2(all_0_161_161, all_0_244_244) = all_0_72_72 & op2(all_0_161_161, e21) = all_0_76_76 & op2(all_0_234_234, all_0_93_93) = all_0_8_8 & op2(all_0_234_234, all_0_133_133) = all_0_12_12 & op2(all_0_234_234, all_0_234_234) = all_0_10_10 & op2(all_0_234_234, e23) = all_0_14_14 & op2(all_0_234_234, e23) = all_0_132_132 & op2(all_0_235_235, e23) = all_0_135_135 & op2(all_0_235_235, e22) = all_0_134_134 & op2(all_0_236_236, e23) = all_0_138_138 & op2(all_0_236_236, e21) = all_0_137_137 & op2(all_0_237_237, e23) = all_0_141_141 & op2(all_0_237_237, e20) = all_0_140_140 & op2(all_0_238_238, e23) = all_0_143_143 & op2(all_0_238_238, e22) = all_0_144_144 & op2(all_0_239_239, all_0_94_94) = all_0_35_35 & op2(all_0_239_239, all_0_147_147) = all_0_39_39 & op2(all_0_239_239, all_0_239_239) = all_0_37_37 & op2(all_0_239_239, e22) = all_0_41_41 & op2(all_0_239_239, e22) = all_0_146_146 & op2(all_0_240_240, e22) = all_0_149_149 & op2(all_0_240_240, e21) = all_0_148_148 & op2(all_0_241_241, e22) = all_0_152_152 & op2(all_0_241_241, e20) = all_0_151_151 & op2(all_0_242_242, e23) = all_0_154_154 & op2(all_0_242_242, e21) = all_0_155_155 & op2(all_0_243_243, e22) = all_0_157_157 & op2(all_0_243_243, e21) = all_0_158_158 & op2(all_0_244_244, all_0_95_95) = all_0_62_62 & op2(all_0_244_244, all_0_161_161) = all_0_66_66 & op2(all_0_244_244, all_0_244_244) = all_0_64_64 & op2(all_0_244_244, e21) = all_0_68_68 & op2(all_0_244_244, e21) = all_0_160_160 & op2(all_0_245_245, e21) = all_0_163_163 & op2(all_0_245_245, e20) = all_0_162_162 & op2(e23, all_0_93_93) = all_0_24_24 & op2(e23, all_0_133_133) = all_0_26_26 & op2(e23, all_0_133_133) = all_0_93_93 & op2(e23, all_0_234_234) = all_0_25_25 & op2(e23, all_0_234_234) = all_0_133_133 & op2(e23, all_0_235_235) = all_0_136_136 & op2(e23, all_0_236_236) = all_0_139_139 & op2(e23, all_0_237_237) = all_0_142_142 & op2(e23, all_0_238_238) = all_0_108_108 & op2(e23, all_0_239_239) = all_0_111_111 & op2(e23, all_0_240_240) = all_0_114_114 & op2(e23, all_0_241_241) = all_0_117_117 & op2(e23, all_0_242_242) = all_0_120_120 & op2(e23, all_0_243_243) = all_0_123_123 & op2(e23, all_0_244_244) = all_0_126_126 & op2(e23, all_0_245_245) = all_0_129_129 & op2(e23, e23) = all_0_234_234 & op2(e23, e22) = all_0_235_235 & op2(e23, e21) = all_0_236_236 & op2(e23, e20) = all_0_237_237 & op2(e22, all_0_94_94) = all_0_51_51 & op2(e22, all_0_147_147) = all_0_53_53 & op2(e22, all_0_147_147) = all_0_94_94 & op2(e22, all_0_234_234) = all_0_96_96 & op2(e22, all_0_235_235) = all_0_99_99 & op2(e22, all_0_236_236) = all_0_102_102 & op2(e22, all_0_237_237) = all_0_105_105 & op2(e22, all_0_238_238) = all_0_145_145 & op2(e22, all_0_239_239) = all_0_52_52 & op2(e22, all_0_239_239) = all_0_147_147 & op2(e22, all_0_240_240) = all_0_150_150 & op2(e22, all_0_241_241) = all_0_153_153 & op2(e22, all_0_242_242) = all_0_121_121 & op2(e22, all_0_243_243) = all_0_124_124 & op2(e22, all_0_244_244) = all_0_127_127 & op2(e22, all_0_245_245) = all_0_130_130 & op2(e22, e23) = all_0_238_238 & op2(e22, e22) = all_0_239_239 & op2(e22, e21) = all_0_240_240 & op2(e22, e20) = all_0_241_241 & op2(e21, all_0_95_95) = all_0_78_78 & op2(e21, all_0_161_161) = all_0_80_80 & op2(e21, all_0_161_161) = all_0_95_95 & op2(e21, all_0_234_234) = all_0_97_97 & op2(e21, all_0_235_235) = all_0_100_100 & op2(e21, all_0_236_236) = all_0_103_103 & op2(e21, all_0_237_237) = all_0_106_106 & op2(e21, all_0_238_238) = all_0_109_109 & op2(e21, all_0_239_239) = all_0_112_112 & op2(e21, all_0_240_240) = all_0_115_115 & op2(e21, all_0_241_241) = all_0_118_118 & op2(e21, all_0_242_242) = all_0_156_156 & op2(e21, all_0_243_243) = all_0_159_159 & op2(e21, all_0_244_244) = all_0_79_79 & op2(e21, all_0_244_244) = all_0_161_161 & op2(e21, all_0_245_245) = all_0_164_164 & op2(e21, e23) = all_0_242_242 & op2(e21, e22) = all_0_243_243 & op2(e21, e21) = all_0_244_244 & op2(e21, e20) = all_0_245_245 & op2(e20, all_0_234_234) = all_0_98_98 & op2(e20, all_0_235_235) = all_0_101_101 & op2(e20, all_0_236_236) = all_0_104_104 & op2(e20, all_0_237_237) = all_0_107_107 & op2(e20, all_0_238_238) = all_0_110_110 & op2(e20, all_0_239_239) = all_0_113_113 & op2(e20, all_0_240_240) = all_0_116_116 & op2(e20, all_0_241_241) = all_0_119_119 & op2(e20, all_0_242_242) = all_0_122_122 & op2(e20, all_0_243_243) = all_0_125_125 & op2(e20, all_0_244_244) = all_0_128_128 & op2(e20, all_0_245_245) = all_0_131_131 & op2(e20, e23) = e20 & op2(e20, e22) = e21 & op2(e20, e21) = e23 & op2(e20, e20) = e22 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0)) & ( ~ (all_0_0_0 = all_0_1_1) | ~ (all_0_2_2 = all_0_3_3) | ~ (all_0_4_4 = all_0_5_5) | ~ (all_0_6_6 = all_0_7_7) | ~ (all_0_8_8 = all_0_9_9) | ~ (all_0_10_10 = all_0_11_11) | ~ (all_0_12_12 = all_0_13_13) | ~ (all_0_14_14 = all_0_15_15) | ~ (all_0_16_16 = all_0_17_17) | ~ (all_0_18_18 = all_0_19_19) | ~ (all_0_20_20 = all_0_21_21) | ~ (all_0_22_22 = all_0_23_23) | ~ (all_0_24_24 = e23) | ~ (all_0_25_25 = all_0_133_133) | ~ (all_0_26_26 = all_0_93_93) | ( ~ (all_0_93_93 = e22) & ~ (all_0_133_133 = e22) & ~ (all_0_234_234 = e22)) | ( ~ (all_0_93_93 = e21) & ~ (all_0_133_133 = e21) & ~ (all_0_234_234 = e21)) | ( ~ (all_0_93_93 = e20) & ~ (all_0_133_133 = e20))) & ( ~ (all_0_27_27 = all_0_28_28) | ~ (all_0_29_29 = all_0_30_30) | ~ (all_0_31_31 = all_0_32_32) | ~ (all_0_33_33 = all_0_34_34) | ~ (all_0_35_35 = all_0_36_36) | ~ (all_0_37_37 = all_0_38_38) | ~ (all_0_39_39 = all_0_40_40) | ~ (all_0_41_41 = all_0_42_42) | ~ (all_0_43_43 = all_0_44_44) | ~ (all_0_45_45 = all_0_46_46) | ~ (all_0_47_47 = all_0_48_48) | ~ (all_0_49_49 = all_0_50_50) | ~ (all_0_51_51 = e22) | ~ (all_0_52_52 = all_0_147_147) | ~ (all_0_53_53 = all_0_94_94) | ( ~ (all_0_94_94 = e23) & ~ (all_0_147_147 = e23) & ~ (all_0_239_239 = e23)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_147_147 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_147_147 = e20) & ~ (all_0_239_239 = e20))) & ( ~ (all_0_54_54 = all_0_55_55) | ~ (all_0_56_56 = all_0_57_57) | ~ (all_0_58_58 = all_0_59_59) | ~ (all_0_60_60 = all_0_61_61) | ~ (all_0_62_62 = all_0_63_63) | ~ (all_0_64_64 = all_0_65_65) | ~ (all_0_66_66 = all_0_67_67) | ~ (all_0_68_68 = all_0_69_69) | ~ (all_0_70_70 = all_0_71_71) | ~ (all_0_72_72 = all_0_73_73) | ~ (all_0_74_74 = all_0_75_75) | ~ (all_0_76_76 = all_0_77_77) | ~ (all_0_78_78 = e21) | ~ (all_0_79_79 = all_0_161_161) | ~ (all_0_80_80 = all_0_95_95) | ( ~ (all_0_95_95 = e23) & ~ (all_0_161_161 = e23)) | ( ~ (all_0_95_95 = e22) & ~ (all_0_161_161 = e22) & ~ (all_0_244_244 = e22)) | ( ~ (all_0_95_95 = e20) & ~ (all_0_161_161 = e20) & ~ (all_0_244_244 = e20))) & ( ~ (all_0_81_81 = all_0_234_234) | ~ (all_0_82_82 = all_0_235_235) | ~ (all_0_83_83 = all_0_236_236) | ~ (all_0_84_84 = all_0_237_237) | ~ (all_0_85_85 = all_0_238_238) | ~ (all_0_86_86 = all_0_239_239) | ~ (all_0_87_87 = all_0_240_240) | ~ (all_0_88_88 = all_0_241_241) | ~ (all_0_89_89 = all_0_242_242) | ~ (all_0_90_90 = all_0_243_243) | ~ (all_0_91_91 = all_0_244_244) | ~ (all_0_92_92 = all_0_245_245)) & (all_0_234_234 = e23 | all_0_234_234 = e22 | all_0_234_234 = e21) & (all_0_234_234 = e23 | all_0_235_235 = e23 | all_0_237_237 = e23) & (all_0_234_234 = e23 | all_0_238_238 = e23 | all_0_242_242 = e23) & (all_0_234_234 = e22 | all_0_235_235 = e22 | all_0_236_236 = e22) & (all_0_234_234 = e22 | all_0_238_238 = e22 | all_0_242_242 = e22) & (all_0_234_234 = e21 | all_0_236_236 = e21 | all_0_237_237 = e21) & (all_0_234_234 = e21 | all_0_238_238 = e21 | all_0_242_242 = e21) & (all_0_235_235 = e23 | all_0_235_235 = e22 | all_0_235_235 = e20) & (all_0_235_235 = e23 | all_0_239_239 = e23 | all_0_243_243 = e23) & (all_0_235_235 = e22 | all_0_239_239 = e22 | all_0_243_243 = e22) & (all_0_235_235 = e20 | all_0_236_236 = e20 | all_0_237_237 = e20) & (all_0_235_235 = e20 | all_0_239_239 = e20 | all_0_243_243 = e20) & (all_0_236_236 = e22 | all_0_236_236 = e21 | all_0_236_236 = e20) & (all_0_236_236 = e22 | all_0_240_240 = e22 | all_0_244_244 = e22) & (all_0_236_236 = e21 | all_0_240_240 = e21 | all_0_244_244 = e21) & (all_0_236_236 = e20 | all_0_240_240 = e20 | all_0_244_244 = e20) & (all_0_237_237 = e23 | all_0_237_237 = e21 | all_0_237_237 = e20) & (all_0_237_237 = e23 | all_0_241_241 = e23 | all_0_245_245 = e23) & (all_0_237_237 = e21 | all_0_241_241 = e21 | all_0_245_245 = e21) & (all_0_237_237 = e20 | all_0_241_241 = e20 | all_0_245_245 = e20) & (all_0_238_238 = e23 | all_0_238_238 = e22 | all_0_238_238 = e21) & (all_0_238_238 = e23 | all_0_239_239 = e23 | all_0_241_241 = e23) & (all_0_238_238 = e22 | all_0_239_239 = e22 | all_0_240_240 = e22) & (all_0_238_238 = e21 | all_0_240_240 = e21 | all_0_241_241 = e21) & (all_0_239_239 = e23 | all_0_239_239 = e22 | all_0_239_239 = e20) & (all_0_239_239 = e20 | all_0_240_240 = e20 | all_0_241_241 = e20) & (all_0_240_240 = e22 | all_0_240_240 = e21 | all_0_240_240 = e20) & (all_0_241_241 = e23 | all_0_241_241 = e21 | all_0_241_241 = e20) & (all_0_242_242 = e23 | all_0_242_242 = e22 | all_0_242_242 = e21) & (all_0_242_242 = e23 | all_0_243_243 = e23 | all_0_245_245 = e23) & (all_0_242_242 = e22 | all_0_243_243 = e22 | all_0_244_244 = e22) & (all_0_242_242 = e21 | all_0_244_244 = e21 | all_0_245_245 = e21) & (all_0_243_243 = e23 | all_0_243_243 = e22 | all_0_243_243 = e20) & (all_0_243_243 = e20 | all_0_244_244 = e20 | all_0_245_245 = e20) & (all_0_244_244 = e22 | all_0_244_244 = e21 | all_0_244_244 = e20) & (all_0_245_245 = e23 | all_0_245_245 = e21 | all_0_245_245 = e20) & (all_0_246_246 = e13 | all_0_246_246 = e12 | all_0_246_246 = e11) & (all_0_246_246 = e13 | all_0_247_247 = e13 | all_0_249_249 = e13) & (all_0_246_246 = e13 | all_0_250_250 = e13 | all_0_254_254 = e13) & (all_0_246_246 = e12 | all_0_247_247 = e12 | all_0_248_248 = e12) & (all_0_246_246 = e12 | all_0_250_250 = e12 | all_0_254_254 = e12) & (all_0_246_246 = e11 | all_0_248_248 = e11 | all_0_249_249 = e11) & (all_0_246_246 = e11 | all_0_250_250 = e11 | all_0_254_254 = e11) & (all_0_247_247 = e13 | all_0_247_247 = e12 | all_0_247_247 = e10) & (all_0_247_247 = e13 | all_0_251_251 = e13 | all_0_255_255 = e13) & (all_0_247_247 = e12 | all_0_251_251 = e12 | all_0_255_255 = e12) & (all_0_247_247 = e10 | all_0_248_248 = e10 | all_0_249_249 = e10) & (all_0_247_247 = e10 | all_0_251_251 = e10 | all_0_255_255 = e10) & (all_0_248_248 = e12 | all_0_248_248 = e11 | all_0_248_248 = e10) & (all_0_248_248 = e12 | all_0_252_252 = e12 | all_0_256_256 = e12) & (all_0_248_248 = e11 | all_0_252_252 = e11 | all_0_256_256 = e11) & (all_0_248_248 = e10 | all_0_252_252 = e10 | all_0_256_256 = e10) & (all_0_249_249 = e13 | all_0_249_249 = e11 | all_0_249_249 = e10) & (all_0_249_249 = e13 | all_0_253_253 = e13 | all_0_257_257 = e13) & (all_0_249_249 = e11 | all_0_253_253 = e11 | all_0_257_257 = e11) & (all_0_249_249 = e10 | all_0_253_253 = e10 | all_0_257_257 = e10) & (all_0_250_250 = e13 | all_0_250_250 = e12 | all_0_250_250 = e11) & (all_0_250_250 = e13 | all_0_251_251 = e13 | all_0_253_253 = e13) & (all_0_250_250 = e12 | all_0_251_251 = e12 | all_0_252_252 = e12) & (all_0_250_250 = e11 | all_0_252_252 = e11 | all_0_253_253 = e11) & (all_0_251_251 = e13 | all_0_251_251 = e12 | all_0_251_251 = e10) & (all_0_251_251 = e10 | all_0_252_252 = e10 | all_0_253_253 = e10) & (all_0_252_252 = e12 | all_0_252_252 = e11 | all_0_252_252 = e10) & (all_0_253_253 = e13 | all_0_253_253 = e11 | all_0_253_253 = e10) & (all_0_254_254 = e13 | all_0_254_254 = e12 | all_0_254_254 = e11) & (all_0_254_254 = e13 | all_0_255_255 = e13 | all_0_257_257 = e13) & (all_0_254_254 = e12 | all_0_255_255 = e12 | all_0_256_256 = e12) & (all_0_254_254 = e11 | all_0_256_256 = e11 | all_0_257_257 = e11) & (all_0_255_255 = e13 | all_0_255_255 = e12 | all_0_255_255 = e10) & (all_0_255_255 = e10 | all_0_256_256 = e10 | all_0_257_257 = e10) & (all_0_256_256 = e12 | all_0_256_256 = e11 | all_0_256_256 = e10) & (all_0_257_257 = e13 | all_0_257_257 = e11 | all_0_257_257 = e10) & ((all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)) | (all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20)) | (all_0_237_237 = e21 & ~ (all_0_236_236 = e20))) & ((all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)) | (all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10)) | (all_0_249_249 = e11 & ~ (all_0_248_248 = e10))) & ((all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)) | (all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21)) | (all_0_245_245 = e23 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e20) & ~ (all_0_164_164 = e21)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e20) & ~ (all_0_133_133 = e23)) | ( ~ (all_0_111_111 = e23) & ~ (all_0_112_112 = e21) & ~ (all_0_113_113 = e20) & ~ (all_0_147_147 = e22)) | ( ~ (all_0_126_126 = e23) & ~ (all_0_127_127 = e22) & ~ (all_0_128_128 = e20) & ~ (all_0_161_161 = e21)) | ( ~ (all_0_235_235 = e23) & ~ (all_0_239_239 = e22))) & ((all_0_247_247 = all_0_250_250 & ~ (all_0_168_168 = e12) & ~ (all_0_169_169 = e11) & ~ (all_0_170_170 = e10) & ~ (all_0_205_205 = e13)) | (all_0_247_247 = all_0_250_250 & ~ (all_0_177_177 = e13) & ~ (all_0_178_178 = e11) & ~ (all_0_179_179 = e10) & ~ (all_0_214_214 = e12)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_171_171 = e12) & ~ (all_0_172_172 = e11) & ~ (all_0_173_173 = e10) & ~ (all_0_208_208 = e13)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_189_189 = e13) & ~ (all_0_190_190 = e12) & ~ (all_0_191_191 = e10) & ~ (all_0_225_225 = e11)) | (all_0_249_249 = e10 & ~ (all_0_174_174 = e12) & ~ (all_0_175_175 = e11) & ~ (all_0_176_176 = e10) & ~ (all_0_211_211 = e13)) | (all_0_249_249 = e10 & ~ (all_0_257_257 = e11)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_183_183 = e13) & ~ (all_0_184_184 = e11) & ~ (all_0_185_185 = e10) & ~ (all_0_219_219 = e12)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_192_192 = e13) & ~ (all_0_193_193 = e12) & ~ (all_0_194_194 = e10) & ~ (all_0_228_228 = e11)) | (all_0_253_253 = e11 & ~ (all_0_186_186 = e13) & ~ (all_0_187_187 = e11) & ~ (all_0_188_188 = e10) & ~ (all_0_222_222 = e12)) | (all_0_253_253 = e11 & ~ (all_0_252_252 = e12) & ~ (all_0_256_256 = e11)) | (all_0_257_257 = e13 & ~ (all_0_198_198 = e13) & ~ (all_0_199_199 = e12) & ~ (all_0_200_200 = e10) & ~ (all_0_233_233 = e11)) | ( ~ (all_0_165_165 = e12) & ~ (all_0_166_166 = e11) & ~ (all_0_167_167 = e10) & ~ (all_0_202_202 = e13)) | ( ~ (all_0_180_180 = e13) & ~ (all_0_181_181 = e11) & ~ (all_0_182_182 = e10) & ~ (all_0_216_216 = e12)) | ( ~ (all_0_195_195 = e13) & ~ (all_0_196_196 = e12) & ~ (all_0_197_197 = e10) & ~ (all_0_230_230 = e11)) | ( ~ (all_0_247_247 = e13) & ~ (all_0_251_251 = e12)))
% 26.58/6.91 |
% 26.58/6.91 | Applying alpha-rule on (1) yields:
% 26.58/6.91 | (2) op2(all_0_244_244, all_0_244_244) = all_0_64_64
% 26.58/6.91 | (3) op2(e23, all_0_234_234) = all_0_25_25
% 26.58/6.91 | (4) op2(e23, all_0_237_237) = all_0_142_142
% 26.58/6.91 | (5) op2(all_0_240_240, e21) = all_0_148_148
% 26.58/6.91 | (6) op2(e21, all_0_238_238) = all_0_109_109
% 26.58/6.91 | (7) op2(all_0_234_234, e23) = all_0_14_14
% 26.58/6.91 | (8) ~ (e12 = e10)
% 26.58/6.91 | (9) h3(all_0_249_249) = all_0_34_34
% 26.58/6.91 | (10) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0))
% 26.58/6.91 | (11) ~ (all_0_234_234 = e20)
% 26.58/6.91 | (12) ~ (all_0_254_254 = all_0_255_255)
% 26.58/6.91 | (13) op2(e22, all_0_244_244) = all_0_127_127
% 26.58/6.91 | (14) ~ (e23 = e20)
% 26.58/6.91 | (15) h4(all_0_254_254) = all_0_17_17
% 26.58/6.91 | (16) ~ (e22 = e10)
% 26.58/6.91 | (17) op2(all_0_244_244, all_0_161_161) = all_0_66_66
% 26.58/6.91 | (18) ~ (all_0_239_239 = e21)
% 26.58/6.91 | (19) h2(all_0_248_248) = all_0_59_59
% 26.58/6.91 | (20) h3(e12) = all_0_239_239
% 26.58/6.91 | (21) op1(e10, e12) = e11
% 26.58/6.91 | (22) op1(e10, all_0_255_255) = all_0_194_194
% 26.58/6.91 | (23) ~ (all_0_251_251 = all_0_253_253)
% 26.58/6.91 | (24) op1(e13, e11) = all_0_248_248
% 26.58/6.91 | (25) ~ (all_0_252_252 = all_0_253_253)
% 26.58/6.91 | (26) all_0_234_234 = e23 | all_0_234_234 = e22 | all_0_234_234 = e21
% 26.58/6.91 | (27) ~ (all_0_242_242 = all_0_244_244)
% 26.58/6.91 | (28) op2(all_0_147_147, all_0_94_94) = all_0_43_43
% 26.58/6.91 | (29) all_0_246_246 = e12 | all_0_247_247 = e12 | all_0_248_248 = e12
% 26.58/6.91 | (30) op2(e22, all_0_243_243) = all_0_124_124
% 26.58/6.91 | (31) ~ (e22 = e11)
% 26.58/6.91 | (32) ~ (all_0_239_239 = all_0_243_243)
% 26.58/6.91 | (33) op2(e22, all_0_234_234) = all_0_96_96
% 26.58/6.91 | (34) h4(e13) = all_0_93_93
% 26.58/6.91 | (35) op2(e20, all_0_240_240) = all_0_116_116
% 26.58/6.91 | (36) ~ (all_0_256_256 = e13)
% 26.58/6.91 | (37) op2(e21, all_0_161_161) = all_0_80_80
% 26.58/6.91 | (38) h4(e12) = all_0_234_234
% 26.58/6.91 | (39) op2(e20, e22) = e21
% 26.58/6.91 | (40) all_0_253_253 = e13 | all_0_253_253 = e11 | all_0_253_253 = e10
% 26.58/6.91 | (41) op2(all_0_241_241, e20) = all_0_151_151
% 26.58/6.91 | (42) h3(all_0_248_248) = all_0_32_32
% 26.58/6.91 | (43) op2(all_0_133_133, all_0_234_234) = all_0_18_18
% 26.58/6.91 | (44) ~ (all_0_242_242 = all_0_245_245)
% 26.58/6.91 | (45) all_0_249_249 = e10 | all_0_253_253 = e10 | all_0_257_257 = e10
% 26.58/6.91 | (46) ~ (all_0_253_253 = e12)
% 26.58/6.91 | (47) ~ (all_0_246_246 = all_0_250_250)
% 26.58/6.91 | (48) h4(all_0_251_251) = all_0_11_11
% 26.58/6.91 | (49) op2(e23, all_0_133_133) = all_0_26_26
% 26.58/6.91 | (50) op1(e12, all_0_248_248) = all_0_171_171
% 26.58/6.91 | (51) ~ (all_0_253_253 = all_0_257_257)
% 26.90/6.91 | (52) all_0_237_237 = e21 | all_0_241_241 = e21 | all_0_245_245 = e21
% 26.90/6.91 | (53) all_0_255_255 = e10 | all_0_256_256 = e10 | all_0_257_257 = e10
% 26.90/6.91 | (54) op2(e21, e22) = all_0_243_243
% 26.90/6.91 | (55) op1(e12, all_0_246_246) = all_0_165_165
% 26.90/6.91 | (56) h4(all_0_252_252) = all_0_13_13
% 26.90/6.91 | (57) op2(all_0_245_245, e20) = all_0_162_162
% 26.90/6.91 | (58) all_0_247_247 = e12 | all_0_251_251 = e12 | all_0_255_255 = e12
% 26.90/6.91 | (59) op2(all_0_239_239, all_0_147_147) = all_0_39_39
% 26.90/6.91 | (60) op2(all_0_237_237, e20) = all_0_140_140
% 26.90/6.91 | (61) ~ (all_0_249_249 = all_0_257_257)
% 26.90/6.91 | (62) op1(e13, e12) = all_0_247_247
% 26.90/6.91 | (63) op2(all_0_95_95, e21) = all_0_60_60
% 26.90/6.91 | (64) all_0_234_234 = e22 | all_0_238_238 = e22 | all_0_242_242 = e22
% 26.90/6.91 | (65) all_0_238_238 = e23 | all_0_238_238 = e22 | all_0_238_238 = e21
% 26.90/6.91 | (66) ~ (all_0_238_238 = all_0_242_242)
% 26.90/6.91 | (67) all_0_248_248 = e11 | all_0_252_252 = e11 | all_0_256_256 = e11
% 26.90/6.91 | (68) ~ (e21 = e13)
% 26.90/6.91 | (69) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)) | (all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20)) | (all_0_237_237 = e21 & ~ (all_0_236_236 = e20))
% 26.90/6.92 | (70) op2(all_0_238_238, e23) = all_0_143_143
% 26.90/6.92 | (71) op2(all_0_161_161, e21) = all_0_76_76
% 26.90/6.92 | (72) ~ (e22 = e13)
% 26.90/6.92 | (73) op1(e11, all_0_246_246) = all_0_166_166
% 26.90/6.92 | (74) ~ (all_0_243_243 = e21)
% 26.90/6.92 | (75) h4(all_0_257_257) = all_0_23_23
% 26.90/6.92 | (76) ~ (all_0_234_234 = all_0_237_237)
% 26.90/6.92 | (77) all_0_254_254 = e13 | all_0_254_254 = e12 | all_0_254_254 = e11
% 26.90/6.92 | (78) ~ (all_0_249_249 = e12)
% 26.90/6.92 | (79) ~ (all_0_236_236 = all_0_240_240)
% 26.90/6.92 | (80) op1(e10, all_0_252_252) = all_0_185_185
% 26.90/6.92 | (81) op2(e23, all_0_236_236) = all_0_139_139
% 26.90/6.92 | (82) all_0_239_239 = e23 | all_0_239_239 = e22 | all_0_239_239 = e20
% 26.90/6.92 | (83) op2(e21, all_0_161_161) = all_0_95_95
% 26.90/6.92 | (84) ~ (all_0_239_239 = all_0_240_240)
% 26.90/6.92 | (85) ~ (e20 = e13)
% 26.90/6.92 | (86) op2(all_0_95_95, all_0_95_95) = all_0_54_54
% 26.90/6.92 | (87) op1(e13, all_0_255_255) = all_0_192_192
% 26.90/6.92 | (88) op1(e10, e10) = e12
% 26.90/6.92 | (89) op1(e12, e12) = all_0_251_251
% 26.90/6.92 | (90) op2(all_0_94_94, all_0_147_147) = all_0_31_31
% 26.90/6.92 | (91) ~ (e23 = e11)
% 26.90/6.92 | (92) ~ (e22 = e21)
% 26.90/6.92 | (93) op1(all_0_246_246, e13) = all_0_201_201
% 26.90/6.92 | (94) all_0_238_238 = e22 | all_0_239_239 = e22 | all_0_240_240 = e22
% 26.90/6.92 | (95) ~ (all_0_244_244 = e23)
% 26.90/6.92 | (96) op1(e10, all_0_257_257) = all_0_200_200
% 26.90/6.92 | (97) op2(all_0_242_242, e21) = all_0_155_155
% 26.90/6.92 | (98) all_0_234_234 = e23 | all_0_238_238 = e23 | all_0_242_242 = e23
% 26.90/6.92 | (99) op1(e10, e11) = e13
% 26.90/6.92 | (100) h4(e11) = all_0_133_133
% 26.90/6.92 | (101) ~ (all_0_247_247 = e11)
% 26.90/6.92 | (102) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0))
% 26.90/6.92 | (103) op1(all_0_250_250, e12) = all_0_213_213
% 26.90/6.92 | (104) op1(e12, all_0_254_254) = all_0_190_190
% 26.90/6.92 | (105) op2(e23, all_0_240_240) = all_0_114_114
% 26.90/6.92 | (106) op2(all_0_234_234, all_0_93_93) = all_0_8_8
% 26.90/6.92 | (107) ~ (all_0_235_235 = all_0_236_236)
% 26.90/6.92 | (108) ~ (all_0_251_251 = e11)
% 26.90/6.92 | (109) op2(e23, all_0_239_239) = all_0_111_111
% 26.90/6.92 | (110) op2(all_0_245_245, e21) = all_0_163_163
% 26.90/6.92 | (111) ~ (all_0_250_250 = all_0_253_253)
% 26.90/6.92 | (112) ~ (all_0_81_81 = all_0_234_234) | ~ (all_0_82_82 = all_0_235_235) | ~ (all_0_83_83 = all_0_236_236) | ~ (all_0_84_84 = all_0_237_237) | ~ (all_0_85_85 = all_0_238_238) | ~ (all_0_86_86 = all_0_239_239) | ~ (all_0_87_87 = all_0_240_240) | ~ (all_0_88_88 = all_0_241_241) | ~ (all_0_89_89 = all_0_242_242) | ~ (all_0_90_90 = all_0_243_243) | ~ (all_0_91_91 = all_0_244_244) | ~ (all_0_92_92 = all_0_245_245)
% 26.90/6.92 | (113) ~ (e12 = e11)
% 26.90/6.92 | (114) h2(all_0_255_255) = all_0_73_73
% 26.90/6.92 | (115) op1(e11, all_0_253_253) = all_0_187_187
% 26.90/6.92 | (116) ~ (all_0_246_246 = e10)
% 26.90/6.92 | (117) op1(e12, all_0_247_247) = all_0_168_168
% 26.90/6.92 | (118) op2(e21, all_0_234_234) = all_0_97_97
% 26.90/6.92 | (119) h2(e13) = all_0_95_95
% 26.90/6.92 | (120) op1(all_0_250_250, e13) = all_0_212_212
% 26.90/6.92 | (121) op1(e12, all_0_257_257) = all_0_199_199
% 26.90/6.92 | (122) all_0_236_236 = e21 | all_0_240_240 = e21 | all_0_244_244 = e21
% 26.90/6.92 | (123) op1(e12, all_0_253_253) = all_0_222_222
% 26.90/6.92 | (124) all_0_249_249 = e13 | all_0_253_253 = e13 | all_0_257_257 = e13
% 26.90/6.93 | (125) all_0_246_246 = e13 | all_0_250_250 = e13 | all_0_254_254 = e13
% 26.90/6.93 | (126) op1(e11, e12) = all_0_255_255
% 26.90/6.93 | (127) op2(all_0_133_133, all_0_93_93) = all_0_16_16
% 26.90/6.93 | (128) op2(all_0_161_161, all_0_244_244) = all_0_72_72
% 26.90/6.93 | (129) op2(e22, all_0_236_236) = all_0_102_102
% 26.90/6.93 | (130) op2(e22, all_0_239_239) = all_0_147_147
% 26.90/6.93 | (131) op2(e21, all_0_244_244) = all_0_79_79
% 26.90/6.93 | (132) op2(all_0_236_236, e21) = all_0_137_137
% 26.90/6.93 | (133) op2(all_0_238_238, e22) = all_0_144_144
% 26.90/6.93 | (134) ~ (all_0_255_255 = e11)
% 26.90/6.93 | (135) op2(e22, all_0_242_242) = all_0_121_121
% 26.90/6.93 | (136) op1(e12, e11) = all_0_252_252
% 26.90/6.93 | (137) ~ (all_0_241_241 = all_0_245_245)
% 26.90/6.93 | (138) op1(e12, all_0_256_256) = all_0_196_196
% 26.90/6.93 | (139) op2(e21, e21) = all_0_244_244
% 26.90/6.93 | (140) op1(e11, all_0_256_256) = all_0_230_230
% 26.90/6.93 | (141) all_0_252_252 = e12 | all_0_252_252 = e11 | all_0_252_252 = e10
% 26.90/6.93 | (142) ~ (all_0_254_254 = e10)
% 26.90/6.93 | (143) op1(e11, all_0_254_254) = all_0_225_225
% 26.90/6.93 | (144) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 26.90/6.93 | (145) ~ (all_0_244_244 = all_0_245_245)
% 26.90/6.93 | (146) op2(all_0_161_161, all_0_95_95) = all_0_70_70
% 26.90/6.93 | (147) ~ (all_0_250_250 = all_0_252_252)
% 26.90/6.93 | (148) op1(all_0_257_257, e11) = all_0_232_232
% 26.90/6.93 | (149) op2(all_0_234_234, all_0_234_234) = all_0_10_10
% 26.90/6.93 | (150) h4(all_0_248_248) = all_0_5_5
% 26.90/6.93 | (151) h3(all_0_256_256) = all_0_48_48
% 26.90/6.93 | (152) ~ (all_0_241_241 = e22)
% 26.90/6.93 | (153) ~ (all_0_248_248 = all_0_252_252)
% 26.90/6.93 | (154) ~ (all_0_243_243 = all_0_245_245)
% 26.90/6.93 | (155) h4(all_0_250_250) = all_0_9_9
% 26.90/6.93 | (156) h2(all_0_256_256) = all_0_75_75
% 26.90/6.93 | (157) all_0_235_235 = e20 | all_0_236_236 = e20 | all_0_237_237 = e20
% 26.90/6.93 | (158) op1(e10, all_0_250_250) = all_0_179_179
% 26.90/6.93 | (159) ~ (all_0_236_236 = all_0_237_237)
% 26.90/6.93 | (160) h3(all_0_253_253) = all_0_42_42
% 26.90/6.93 | (161) h1(all_0_248_248) = all_0_83_83
% 26.90/6.93 | (162) ~ (all_0_252_252 = all_0_256_256)
% 26.90/6.93 | (163) op2(e22, all_0_235_235) = all_0_99_99
% 26.90/6.93 | (164) op2(e22, all_0_245_245) = all_0_130_130
% 26.90/6.93 | (165) op2(e23, all_0_242_242) = all_0_120_120
% 26.90/6.93 | (166) op1(e11, all_0_255_255) = all_0_228_228
% 26.90/6.93 | (167) h3(all_0_246_246) = all_0_28_28
% 26.90/6.93 | (168) h3(all_0_257_257) = all_0_50_50
% 26.90/6.93 | (169) ~ (e20 = e12)
% 26.90/6.93 | (170) op1(all_0_248_248, e11) = all_0_206_206
% 26.90/6.93 | (171) op2(e22, e23) = all_0_238_238
% 26.90/6.93 | (172) op2(e22, all_0_241_241) = all_0_153_153
% 26.90/6.93 | (173) op1(e12, all_0_250_250) = all_0_214_214
% 26.90/6.93 | (174) op1(e11, all_0_248_248) = all_0_172_172
% 26.90/6.93 | (175) op2(e21, all_0_237_237) = all_0_106_106
% 26.90/6.93 | (176) all_0_234_234 = e21 | all_0_238_238 = e21 | all_0_242_242 = e21
% 26.90/6.93 | (177) ~ (all_0_27_27 = all_0_28_28) | ~ (all_0_29_29 = all_0_30_30) | ~ (all_0_31_31 = all_0_32_32) | ~ (all_0_33_33 = all_0_34_34) | ~ (all_0_35_35 = all_0_36_36) | ~ (all_0_37_37 = all_0_38_38) | ~ (all_0_39_39 = all_0_40_40) | ~ (all_0_41_41 = all_0_42_42) | ~ (all_0_43_43 = all_0_44_44) | ~ (all_0_45_45 = all_0_46_46) | ~ (all_0_47_47 = all_0_48_48) | ~ (all_0_49_49 = all_0_50_50) | ~ (all_0_51_51 = e22) | ~ (all_0_52_52 = all_0_147_147) | ~ (all_0_53_53 = all_0_94_94) | ( ~ (all_0_94_94 = e23) & ~ (all_0_147_147 = e23) & ~ (all_0_239_239 = e23)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_147_147 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_147_147 = e20) & ~ (all_0_239_239 = e20))
% 26.90/6.93 | (178) op2(all_0_93_93, all_0_133_133) = all_0_4_4
% 26.90/6.93 | (179) op2(all_0_147_147, all_0_147_147) = all_0_47_47
% 26.90/6.93 | (180) all_0_251_251 = e13 | all_0_251_251 = e12 | all_0_251_251 = e10
% 26.90/6.93 | (181) op2(e22, all_0_147_147) = all_0_53_53
% 26.90/6.93 | (182) all_0_242_242 = e21 | all_0_244_244 = e21 | all_0_245_245 = e21
% 26.90/6.93 | (183) h2(all_0_254_254) = all_0_71_71
% 26.90/6.94 | (184) op2(all_0_244_244, all_0_95_95) = all_0_62_62
% 26.90/6.94 | (185) all_0_257_257 = e13 | all_0_257_257 = e11 | all_0_257_257 = e10
% 26.90/6.94 | (186) ~ (all_0_240_240 = all_0_241_241)
% 26.90/6.94 | (187) ~ (e23 = e13)
% 26.90/6.94 | (188) all_0_243_243 = e20 | all_0_244_244 = e20 | all_0_245_245 = e20
% 26.90/6.94 | (189) all_0_247_247 = e13 | all_0_251_251 = e13 | all_0_255_255 = e13
% 26.90/6.94 | (190) op1(all_0_252_252, e12) = all_0_218_218
% 26.90/6.94 | (191) all_0_236_236 = e22 | all_0_240_240 = e22 | all_0_244_244 = e22
% 26.90/6.94 | (192) h1(all_0_254_254) = all_0_89_89
% 26.90/6.94 | (193) op1(e13, all_0_256_256) = all_0_195_195
% 26.90/6.94 | (194) op2(all_0_94_94, all_0_94_94) = all_0_27_27
% 26.90/6.94 | (195) all_0_236_236 = e22 | all_0_236_236 = e21 | all_0_236_236 = e20
% 26.90/6.94 | (196) op2(e20, e20) = e22
% 26.90/6.94 | (197) op2(e23, all_0_244_244) = all_0_126_126
% 26.90/6.94 | (198) ~ (e21 = e11)
% 26.90/6.94 | (199) ~ (all_0_54_54 = all_0_55_55) | ~ (all_0_56_56 = all_0_57_57) | ~ (all_0_58_58 = all_0_59_59) | ~ (all_0_60_60 = all_0_61_61) | ~ (all_0_62_62 = all_0_63_63) | ~ (all_0_64_64 = all_0_65_65) | ~ (all_0_66_66 = all_0_67_67) | ~ (all_0_68_68 = all_0_69_69) | ~ (all_0_70_70 = all_0_71_71) | ~ (all_0_72_72 = all_0_73_73) | ~ (all_0_74_74 = all_0_75_75) | ~ (all_0_76_76 = all_0_77_77) | ~ (all_0_78_78 = e21) | ~ (all_0_79_79 = all_0_161_161) | ~ (all_0_80_80 = all_0_95_95) | ( ~ (all_0_95_95 = e23) & ~ (all_0_161_161 = e23)) | ( ~ (all_0_95_95 = e22) & ~ (all_0_161_161 = e22) & ~ (all_0_244_244 = e22)) | ( ~ (all_0_95_95 = e20) & ~ (all_0_161_161 = e20) & ~ (all_0_244_244 = e20))
% 26.90/6.94 | (200) op2(all_0_161_161, all_0_161_161) = all_0_74_74
% 26.90/6.94 | (201) op2(e20, all_0_237_237) = all_0_107_107
% 26.90/6.94 | (202) h3(e11) = all_0_147_147
% 26.90/6.94 | (203) h2(all_0_257_257) = all_0_77_77
% 26.90/6.94 | (204) all_0_237_237 = e23 | all_0_241_241 = e23 | all_0_245_245 = e23
% 26.90/6.94 | (205) all_0_234_234 = e21 | all_0_236_236 = e21 | all_0_237_237 = e21
% 26.90/6.94 | (206) h1(all_0_252_252) = all_0_87_87
% 26.90/6.94 | (207) h3(all_0_254_254) = all_0_44_44
% 26.90/6.94 | (208) ~ (all_0_238_238 = e20)
% 26.90/6.94 | (209) op1(e13, all_0_249_249) = all_0_211_211
% 26.90/6.94 | (210) ~ (e13 = e10)
% 26.90/6.94 | (211) ~ (all_0_254_254 = all_0_256_256)
% 26.90/6.94 | (212) ~ (all_0_235_235 = all_0_243_243)
% 26.90/6.94 | (213) op1(e13, all_0_247_247) = all_0_205_205
% 26.90/6.94 | (214) all_0_250_250 = e13 | all_0_251_251 = e13 | all_0_253_253 = e13
% 26.90/6.94 | (215) ~ (e23 = e21)
% 26.90/6.94 | (216) op2(e21, all_0_239_239) = all_0_112_112
% 26.90/6.94 | (217) op2(e20, all_0_239_239) = all_0_113_113
% 26.90/6.94 | (218) h3(e10) = e22
% 26.90/6.94 | (219) h1(all_0_253_253) = all_0_88_88
% 26.90/6.94 | (220) op2(all_0_235_235, e22) = all_0_134_134
% 26.90/6.94 | (221) h2(all_0_249_249) = all_0_61_61
% 26.90/6.94 | (222) op2(e21, all_0_236_236) = all_0_103_103
% 26.90/6.94 | (223) op1(e11, e11) = all_0_256_256
% 26.90/6.94 | (224) ~ (all_0_250_250 = all_0_251_251)
% 26.90/6.94 | (225) ~ (all_0_236_236 = all_0_244_244)
% 26.90/6.94 | (226) op1(all_0_253_253, e10) = all_0_220_220
% 26.90/6.94 | (227) ~ (all_0_256_256 = all_0_257_257)
% 26.90/6.94 | (228) ~ (all_0_234_234 = all_0_238_238)
% 26.90/6.94 | (229) op2(e20, all_0_241_241) = all_0_119_119
% 26.90/6.94 | (230) op1(all_0_247_247, e12) = all_0_203_203
% 26.90/6.94 | (231) all_0_246_246 = e13 | all_0_247_247 = e13 | all_0_249_249 = e13
% 26.90/6.94 | (232) op2(e22, all_0_94_94) = all_0_51_51
% 26.90/6.94 | (233) ~ (e21 = e10)
% 26.90/6.94 | (234) all_0_239_239 = e20 | all_0_240_240 = e20 | all_0_241_241 = e20
% 26.90/6.94 | (235) op2(e22, all_0_238_238) = all_0_145_145
% 26.90/6.94 | (236) ~ (all_0_246_246 = all_0_254_254)
% 26.90/6.94 | (237) all_0_255_255 = e13 | all_0_255_255 = e12 | all_0_255_255 = e10
% 26.90/6.94 | (238) op1(e12, all_0_251_251) = all_0_216_216
% 26.90/6.94 | (239) op1(e13, all_0_251_251) = all_0_180_180
% 26.90/6.94 | (240) ~ (all_0_247_247 = all_0_255_255)
% 26.90/6.94 | (241) op1(e11, e13) = all_0_254_254
% 26.90/6.94 | (242) ~ (all_0_254_254 = all_0_257_257)
% 26.90/6.94 | (243) op1(e10, all_0_254_254) = all_0_191_191
% 26.90/6.94 | (244) op1(e10, all_0_253_253) = all_0_188_188
% 26.90/6.94 | (245) ~ (all_0_237_237 = all_0_241_241)
% 26.90/6.94 | (246) op2(all_0_239_239, all_0_94_94) = all_0_35_35
% 26.90/6.94 | (247) all_0_237_237 = e23 | all_0_237_237 = e21 | all_0_237_237 = e20
% 26.90/6.94 | (248) ~ (all_0_246_246 = all_0_247_247)
% 26.90/6.94 | (249) op2(e20, all_0_236_236) = all_0_104_104
% 26.90/6.94 | (250) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0))
% 26.90/6.94 | (251) all_0_254_254 = e13 | all_0_255_255 = e13 | all_0_257_257 = e13
% 26.90/6.94 | (252) h2(all_0_246_246) = all_0_55_55
% 26.90/6.94 | (253) op2(e20, e23) = e20
% 26.90/6.94 | (254) all_0_242_242 = e22 | all_0_243_243 = e22 | all_0_244_244 = e22
% 26.90/6.94 | (255) h1(all_0_247_247) = all_0_82_82
% 26.90/6.94 | (256) op2(e22, e22) = all_0_239_239
% 26.90/6.94 | (257) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)) | (all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10)) | (all_0_249_249 = e11 & ~ (all_0_248_248 = e10))
% 26.90/6.94 | (258) op2(all_0_243_243, e21) = all_0_158_158
% 26.90/6.94 | (259) all_0_246_246 = e11 | all_0_248_248 = e11 | all_0_249_249 = e11
% 26.90/6.94 | (260) op1(e13, e10) = all_0_249_249
% 26.90/6.94 | (261) op2(all_0_133_133, all_0_133_133) = all_0_20_20
% 26.90/6.94 | (262) ~ (e21 = e12)
% 26.90/6.94 | (263) h4(e10) = e23
% 26.90/6.94 | (264) all_0_246_246 = e11 | all_0_250_250 = e11 | all_0_254_254 = e11
% 26.90/6.94 | (265) ~ (all_0_238_238 = all_0_241_241)
% 26.90/6.94 | (266) ~ (all_0_242_242 = e20)
% 26.90/6.95 | (267) op2(e21, all_0_244_244) = all_0_161_161
% 26.90/6.95 | (268) op2(all_0_237_237, e23) = all_0_141_141
% 26.90/6.95 | (269) op2(e21, all_0_241_241) = all_0_118_118
% 26.90/6.95 | (270) op2(all_0_234_234, e23) = all_0_132_132
% 26.90/6.95 | (271) ~ (all_0_247_247 = all_0_248_248)
% 26.90/6.95 | (272) op1(e10, e13) = e10
% 26.90/6.95 | (273) op1(e11, e10) = all_0_257_257
% 26.90/6.95 | (274) all_0_256_256 = e12 | all_0_256_256 = e11 | all_0_256_256 = e10
% 26.90/6.95 | (275) op1(e10, all_0_251_251) = all_0_182_182
% 26.90/6.95 | (276) all_0_240_240 = e22 | all_0_240_240 = e21 | all_0_240_240 = e20
% 26.90/6.95 | (277) op2(e23, all_0_241_241) = all_0_117_117
% 26.90/6.95 | (278) h3(all_0_251_251) = all_0_38_38
% 26.90/6.95 | (279) op2(e22, all_0_237_237) = all_0_105_105
% 26.90/6.95 | (280) all_0_244_244 = e22 | all_0_244_244 = e21 | all_0_244_244 = e20
% 26.90/6.95 | (281) all_0_235_235 = e22 | all_0_239_239 = e22 | all_0_243_243 = e22
% 26.90/6.95 | (282) op1(e10, all_0_249_249) = all_0_176_176
% 26.90/6.95 | (283) op2(e23, all_0_238_238) = all_0_108_108
% 26.90/6.95 | (284) op1(e12, e13) = all_0_250_250
% 26.90/6.95 | (285) op2(all_0_236_236, e23) = all_0_138_138
% 26.90/6.95 | (286) all_0_247_247 = e13 | all_0_247_247 = e12 | all_0_247_247 = e10
% 26.90/6.95 | (287) ~ (all_0_238_238 = all_0_239_239)
% 26.90/6.95 | (288) (all_0_247_247 = all_0_250_250 & ~ (all_0_168_168 = e12) & ~ (all_0_169_169 = e11) & ~ (all_0_170_170 = e10) & ~ (all_0_205_205 = e13)) | (all_0_247_247 = all_0_250_250 & ~ (all_0_177_177 = e13) & ~ (all_0_178_178 = e11) & ~ (all_0_179_179 = e10) & ~ (all_0_214_214 = e12)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_171_171 = e12) & ~ (all_0_172_172 = e11) & ~ (all_0_173_173 = e10) & ~ (all_0_208_208 = e13)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_189_189 = e13) & ~ (all_0_190_190 = e12) & ~ (all_0_191_191 = e10) & ~ (all_0_225_225 = e11)) | (all_0_249_249 = e10 & ~ (all_0_174_174 = e12) & ~ (all_0_175_175 = e11) & ~ (all_0_176_176 = e10) & ~ (all_0_211_211 = e13)) | (all_0_249_249 = e10 & ~ (all_0_257_257 = e11)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_183_183 = e13) & ~ (all_0_184_184 = e11) & ~ (all_0_185_185 = e10) & ~ (all_0_219_219 = e12)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_192_192 = e13) & ~ (all_0_193_193 = e12) & ~ (all_0_194_194 = e10) & ~ (all_0_228_228 = e11)) | (all_0_253_253 = e11 & ~ (all_0_186_186 = e13) & ~ (all_0_187_187 = e11) & ~ (all_0_188_188 = e10) & ~ (all_0_222_222 = e12)) | (all_0_253_253 = e11 & ~ (all_0_252_252 = e12) & ~ (all_0_256_256 = e11)) | (all_0_257_257 = e13 & ~ (all_0_198_198 = e13) & ~ (all_0_199_199 = e12) & ~ (all_0_200_200 = e10) & ~ (all_0_233_233 = e11)) | ( ~ (all_0_165_165 = e12) & ~ (all_0_166_166 = e11) & ~ (all_0_167_167 = e10) & ~ (all_0_202_202 = e13)) | ( ~ (all_0_180_180 = e13) & ~ (all_0_181_181 = e11) & ~ (all_0_182_182 = e10) & ~ (all_0_216_216 = e12)) | ( ~ (all_0_195_195 = e13) & ~ (all_0_196_196 = e12) & ~ (all_0_197_197 = e10) & ~ (all_0_230_230 = e11)) | ( ~ (all_0_247_247 = e13) & ~ (all_0_251_251 = e12))
% 26.90/6.95 | (289) op1(all_0_247_247, e13) = all_0_204_204
% 26.90/6.95 | (290) all_0_245_245 = e23 | all_0_245_245 = e21 | all_0_245_245 = e20
% 26.90/6.95 | (291) op1(e11, all_0_251_251) = all_0_181_181
% 26.90/6.95 | (292) op2(all_0_239_239, e22) = all_0_146_146
% 26.90/6.95 | (293) ~ (e11 = e10)
% 26.90/6.95 | (294) ~ (e22 = e20)
% 26.90/6.95 | (295) ~ (all_0_252_252 = e13)
% 26.90/6.95 | (296) ~ (all_0_247_247 = all_0_251_251)
% 26.90/6.95 | (297) op2(all_0_94_94, e22) = all_0_33_33
% 26.90/6.95 | (298) ~ (all_0_246_246 = all_0_248_248)
% 26.90/6.95 | (299) op1(all_0_255_255, e11) = all_0_227_227
% 26.90/6.95 | (300) h3(all_0_255_255) = all_0_46_46
% 26.90/6.95 | (301) op1(all_0_254_254, e11) = all_0_224_224
% 26.90/6.95 | (302) op2(all_0_242_242, e23) = all_0_154_154
% 26.90/6.95 | (303) op2(all_0_95_95, all_0_244_244) = all_0_56_56
% 26.90/6.95 | (304) op1(e13, all_0_248_248) = all_0_208_208
% 26.90/6.95 | (305) ~ (e13 = e12)
% 26.90/6.95 | (306) ~ (all_0_238_238 = all_0_240_240)
% 26.90/6.95 | (307) op2(all_0_93_93, all_0_234_234) = all_0_2_2
% 26.90/6.95 | (308) op2(e23, e23) = all_0_234_234
% 26.90/6.95 | (309) op2(all_0_239_239, all_0_239_239) = all_0_37_37
% 26.90/6.95 | (310) op1(e11, all_0_257_257) = all_0_233_233
% 26.90/6.95 | (311) all_0_234_234 = e22 | all_0_235_235 = e22 | all_0_236_236 = e22
% 26.90/6.95 | (312) ~ (all_0_255_255 = all_0_256_256)
% 26.90/6.95 | (313) op2(e23, all_0_235_235) = all_0_136_136
% 26.90/6.95 | (314) op1(e10, all_0_248_248) = all_0_173_173
% 26.90/6.95 | (315) op1(e10, all_0_247_247) = all_0_170_170
% 26.90/6.95 | (316) op1(e11, all_0_249_249) = all_0_175_175
% 26.90/6.95 | (317) op1(e13, all_0_253_253) = all_0_186_186
% 26.90/6.95 | (318) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0))
% 26.90/6.95 | (319) op1(all_0_252_252, e11) = all_0_217_217
% 26.90/6.95 | (320) op2(all_0_147_147, all_0_239_239) = all_0_45_45
% 26.90/6.95 | (321) h1(e11) = e21
% 26.90/6.95 | (322) h1(all_0_251_251) = all_0_86_86
% 26.90/6.95 | (323) op2(e20, e21) = e23
% 26.90/6.95 | (324) all_0_236_236 = e20 | all_0_240_240 = e20 | all_0_244_244 = e20
% 26.90/6.95 | (325) op2(all_0_235_235, e23) = all_0_135_135
% 26.90/6.95 | (326) h3(e13) = all_0_94_94
% 26.90/6.95 | (327) ~ (all_0_240_240 = e23)
% 26.90/6.95 | (328) h2(all_0_253_253) = all_0_69_69
% 26.90/6.95 | (329) all_0_254_254 = e12 | all_0_255_255 = e12 | all_0_256_256 = e12
% 26.90/6.95 | (330) op2(e23, all_0_245_245) = all_0_129_129
% 26.90/6.95 | (331) op1(e13, all_0_257_257) = all_0_198_198
% 26.90/6.95 | (332) all_0_235_235 = e23 | all_0_235_235 = e22 | all_0_235_235 = e20
% 26.90/6.95 | (333) op2(e21, all_0_240_240) = all_0_115_115
% 26.90/6.95 | (334) ~ (all_0_250_250 = e10)
% 26.90/6.95 | (335) all_0_249_249 = e13 | all_0_249_249 = e11 | all_0_249_249 = e10
% 26.90/6.95 | (336) op2(e22, e20) = all_0_241_241
% 26.90/6.95 | (337) ~ (all_0_237_237 = e22)
% 26.90/6.95 | (338) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)) | (all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21)) | (all_0_245_245 = e23 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e20) & ~ (all_0_164_164 = e21)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e20) & ~ (all_0_133_133 = e23)) | ( ~ (all_0_111_111 = e23) & ~ (all_0_112_112 = e21) & ~ (all_0_113_113 = e20) & ~ (all_0_147_147 = e22)) | ( ~ (all_0_126_126 = e23) & ~ (all_0_127_127 = e22) & ~ (all_0_128_128 = e20) & ~ (all_0_161_161 = e21)) | ( ~ (all_0_235_235 = e23) & ~ (all_0_239_239 = e22))
% 26.90/6.95 | (339) op1(e12, all_0_255_255) = all_0_193_193
% 26.90/6.95 | (340) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 26.90/6.95 | (341) op2(e23, all_0_133_133) = all_0_93_93
% 26.90/6.95 | (342) h3(all_0_250_250) = all_0_36_36
% 26.90/6.95 | (343) ~ (all_0_248_248 = all_0_249_249)
% 26.90/6.96 | (344) all_0_241_241 = e23 | all_0_241_241 = e21 | all_0_241_241 = e20
% 26.90/6.96 | (345) op1(e10, all_0_246_246) = all_0_167_167
% 26.90/6.96 | (346) op1(all_0_256_256, e11) = all_0_229_229
% 26.90/6.96 | (347) op2(e22, all_0_239_239) = all_0_52_52
% 26.90/6.96 | (348) op1(e12, all_0_249_249) = all_0_174_174
% 26.90/6.96 | (349) all_0_250_250 = e13 | all_0_250_250 = e12 | all_0_250_250 = e11
% 26.90/6.96 | (350) ~ (all_0_240_240 = all_0_244_244)
% 26.90/6.96 | (351) op2(e20, all_0_242_242) = all_0_122_122
% 26.90/6.96 | (352) h2(all_0_250_250) = all_0_63_63
% 26.90/6.96 | (353) ~ (e22 = e12)
% 26.90/6.96 | (354) ~ (all_0_234_234 = all_0_242_242)
% 26.90/6.96 | (355) op1(e13, all_0_246_246) = all_0_202_202
% 26.90/6.96 | (356) op2(all_0_239_239, e22) = all_0_41_41
% 26.90/6.96 | (357) h2(e10) = e21
% 26.90/6.96 | (358) h1(all_0_255_255) = all_0_90_90
% 26.90/6.96 | (359) op2(e22, all_0_240_240) = all_0_150_150
% 26.90/6.96 | (360) all_0_250_250 = e11 | all_0_252_252 = e11 | all_0_253_253 = e11
% 26.90/6.96 | (361) h4(all_0_247_247) = all_0_3_3
% 26.90/6.96 | (362) ~ (all_0_243_243 = all_0_244_244)
% 26.90/6.96 | (363) h1(all_0_256_256) = all_0_91_91
% 26.90/6.96 | (364) all_0_242_242 = e23 | all_0_242_242 = e22 | all_0_242_242 = e21
% 26.90/6.96 | (365) all_0_235_235 = e20 | all_0_239_239 = e20 | all_0_243_243 = e20
% 26.90/6.96 | (366) op1(all_0_253_253, e12) = all_0_221_221
% 26.90/6.96 | (367) op1(e13, e13) = all_0_246_246
% 26.90/6.96 | (368) ~ (e23 = e12)
% 26.90/6.96 | (369) op1(e11, all_0_252_252) = all_0_184_184
% 26.90/6.96 | (370) op2(e21, all_0_243_243) = all_0_159_159
% 26.90/6.96 | (371) op1(e11, all_0_247_247) = all_0_169_169
% 26.90/6.96 | (372) all_0_251_251 = e10 | all_0_252_252 = e10 | all_0_253_253 = e10
% 26.90/6.96 | (373) op2(all_0_243_243, e22) = all_0_157_157
% 26.90/6.96 | (374) op2(all_0_133_133, e23) = all_0_22_22
% 26.90/6.96 | (375) op1(all_0_249_249, e13) = all_0_210_210
% 26.90/6.96 | (376) op2(e23, all_0_243_243) = all_0_123_123
% 26.90/6.96 | (377) op2(e21, all_0_235_235) = all_0_100_100
% 27.12/6.96 | (378) ~ (all_0_250_250 = all_0_254_254)
% 27.12/6.96 | (379) ~ (all_0_239_239 = all_0_241_241)
% 27.12/6.96 | (380) op2(all_0_94_94, all_0_239_239) = all_0_29_29
% 27.12/6.96 | (381) ~ (all_0_0_0 = all_0_1_1) | ~ (all_0_2_2 = all_0_3_3) | ~ (all_0_4_4 = all_0_5_5) | ~ (all_0_6_6 = all_0_7_7) | ~ (all_0_8_8 = all_0_9_9) | ~ (all_0_10_10 = all_0_11_11) | ~ (all_0_12_12 = all_0_13_13) | ~ (all_0_14_14 = all_0_15_15) | ~ (all_0_16_16 = all_0_17_17) | ~ (all_0_18_18 = all_0_19_19) | ~ (all_0_20_20 = all_0_21_21) | ~ (all_0_22_22 = all_0_23_23) | ~ (all_0_24_24 = e23) | ~ (all_0_25_25 = all_0_133_133) | ~ (all_0_26_26 = all_0_93_93) | ( ~ (all_0_93_93 = e22) & ~ (all_0_133_133 = e22) & ~ (all_0_234_234 = e22)) | ( ~ (all_0_93_93 = e21) & ~ (all_0_133_133 = e21) & ~ (all_0_234_234 = e21)) | ( ~ (all_0_93_93 = e20) & ~ (all_0_133_133 = e20))
% 27.12/6.96 | (382) op2(e23, all_0_93_93) = all_0_24_24
% 27.12/6.96 | (383) h2(all_0_252_252) = all_0_67_67
% 27.12/6.96 | (384) ~ (all_0_257_257 = e12)
% 27.12/6.96 | (385) ~ (e23 = e10)
% 27.12/6.96 | (386) ~ (all_0_255_255 = all_0_257_257)
% 27.12/6.96 | (387) op1(all_0_249_249, e10) = all_0_209_209
% 27.12/6.96 | (388) op2(e20, all_0_234_234) = all_0_98_98
% 27.12/6.96 | (389) h1(e10) = e20
% 27.12/6.96 | (390) all_0_242_242 = e23 | all_0_243_243 = e23 | all_0_245_245 = e23
% 27.12/6.96 | (391) h1(e12) = e22
% 27.12/6.96 | (392) ~ (all_0_242_242 = all_0_243_243)
% 27.12/6.96 | (393) op2(e20, all_0_238_238) = all_0_110_110
% 27.12/6.96 | (394) all_0_243_243 = e23 | all_0_243_243 = e22 | all_0_243_243 = e20
% 27.12/6.96 | (395) all_0_248_248 = e12 | all_0_248_248 = e11 | all_0_248_248 = e10
% 27.12/6.96 | (396) all_0_246_246 = e13 | all_0_246_246 = e12 | all_0_246_246 = e11
% 27.12/6.96 | (397) all_0_238_238 = e23 | all_0_239_239 = e23 | all_0_241_241 = e23
% 27.12/6.96 | (398) all_0_247_247 = e10 | all_0_248_248 = e10 | all_0_249_249 = e10
% 27.12/6.96 | (399) ~ (e20 = e10)
% 27.12/6.96 | (400) ~ (all_0_248_248 = e13)
% 27.12/6.96 | (401) ~ (e21 = e20)
% 27.12/6.96 | (402) op2(e21, all_0_245_245) = all_0_164_164
% 27.12/6.96 | (403) h3(all_0_247_247) = all_0_30_30
% 27.12/6.96 | (404) all_0_246_246 = e12 | all_0_250_250 = e12 | all_0_254_254 = e12
% 27.12/6.96 | (405) h1(all_0_250_250) = all_0_85_85
% 27.12/6.96 | (406) op2(all_0_95_95, all_0_161_161) = all_0_58_58
% 27.12/6.96 | (407) h4(all_0_255_255) = all_0_19_19
% 27.12/6.96 | (408) h1(all_0_246_246) = all_0_81_81
% 27.12/6.96 | (409) all_0_248_248 = e10 | all_0_252_252 = e10 | all_0_256_256 = e10
% 27.12/6.96 | (410) op1(all_0_248_248, e13) = all_0_207_207
% 27.12/6.96 | (411) h2(all_0_251_251) = all_0_65_65
% 27.12/6.96 | (412) h1(all_0_257_257) = all_0_92_92
% 27.12/6.96 | (413) h2(all_0_247_247) = all_0_57_57
% 27.12/6.96 | (414) h2(e12) = all_0_244_244
% 27.12/6.96 | (415) ~ (all_0_235_235 = all_0_239_239)
% 27.12/6.96 | (416) ~ (all_0_235_235 = e21)
% 27.12/6.96 | (417) op2(e20, all_0_235_235) = all_0_101_101
% 27.12/6.96 | (418) ~ (all_0_237_237 = all_0_245_245)
% 27.12/6.96 | (419) op2(all_0_93_93, e23) = all_0_6_6
% 27.12/6.96 | (420) op1(e13, all_0_254_254) = all_0_189_189
% 27.12/6.96 | (421) op2(all_0_93_93, all_0_93_93) = all_0_0_0
% 27.12/6.96 | (422) op1(e10, all_0_256_256) = all_0_197_197
% 27.12/6.96 | (423) op1(e13, all_0_252_252) = all_0_183_183
% 27.12/6.96 | (424) all_0_249_249 = e11 | all_0_253_253 = e11 | all_0_257_257 = e11
% 27.12/6.96 | (425) ~ (all_0_236_236 = e23)
% 27.12/6.96 | (426) op2(all_0_240_240, e22) = all_0_149_149
% 27.12/6.96 | (427) op2(e21, all_0_242_242) = all_0_156_156
% 27.12/6.96 | (428) ~ (all_0_246_246 = all_0_249_249)
% 27.12/6.96 | (429) all_0_254_254 = e11 | all_0_256_256 = e11 | all_0_257_257 = e11
% 27.12/6.96 | (430) all_0_234_234 = e23 | all_0_235_235 = e23 | all_0_237_237 = e23
% 27.12/6.96 | (431) op1(e11, all_0_250_250) = all_0_178_178
% 27.12/6.96 | (432) op2(e21, e23) = all_0_242_242
% 27.12/6.96 | (433) all_0_248_248 = e12 | all_0_252_252 = e12 | all_0_256_256 = e12
% 27.12/6.96 | (434) op2(e21, all_0_95_95) = all_0_78_78
% 27.12/6.96 | (435) op1(e12, all_0_252_252) = all_0_219_219
% 27.12/6.96 | (436) op2(e23, e22) = all_0_235_235
% 27.12/6.96 | (437) op1(all_0_255_255, e12) = all_0_226_226
% 27.12/6.96 | (438) op1(e12, e10) = all_0_253_253
% 27.12/6.96 | (439) ~ (all_0_245_245 = e22)
% 27.12/6.96 | (440) h4(all_0_246_246) = all_0_1_1
% 27.12/6.96 | (441) op2(e23, e20) = all_0_237_237
% 27.12/6.96 | (442) op2(e20, all_0_244_244) = all_0_128_128
% 27.12/6.96 | (443) op2(all_0_244_244, e21) = all_0_160_160
% 27.12/6.96 | (444) h1(all_0_249_249) = all_0_84_84
% 27.12/6.96 | (445) h4(all_0_253_253) = all_0_15_15
% 27.12/6.97 | (446) ~ (e13 = e11)
% 27.12/6.97 | (447) ~ (all_0_235_235 = all_0_237_237)
% 27.12/6.97 | (448) all_0_235_235 = e23 | all_0_239_239 = e23 | all_0_243_243 = e23
% 27.12/6.97 | (449) ~ (e23 = e22)
% 27.12/6.97 | (450) op1(all_0_254_254, e13) = all_0_223_223
% 27.12/6.97 | (451) op2(e23, e21) = all_0_236_236
% 27.12/6.97 | (452) all_0_237_237 = e20 | all_0_241_241 = e20 | all_0_245_245 = e20
% 27.12/6.97 | (453) ~ (e20 = e11)
% 27.12/6.97 | (454) all_0_247_247 = e10 | all_0_251_251 = e10 | all_0_255_255 = e10
% 27.12/6.97 | (455) h1(e13) = e23
% 27.12/6.97 | (456) op2(all_0_244_244, e21) = all_0_68_68
% 27.12/6.97 | (457) ~ (all_0_247_247 = all_0_249_249)
% 27.12/6.97 | (458) ~ (all_0_251_251 = all_0_252_252)
% 27.12/6.97 | (459) op2(all_0_147_147, e22) = all_0_49_49
% 27.12/6.97 | (460) h2(e11) = all_0_161_161
% 27.12/6.97 | (461) h4(all_0_249_249) = all_0_7_7
% 27.12/6.97 | (462) op1(all_0_257_257, e10) = all_0_231_231
% 27.12/6.97 | (463) op2(all_0_241_241, e22) = all_0_152_152
% 27.12/6.97 | (464) all_0_238_238 = e21 | all_0_240_240 = e21 | all_0_241_241 = e21
% 27.12/6.97 | (465) op2(e21, e20) = all_0_245_245
% 27.12/6.97 | (466) ~ (all_0_234_234 = all_0_235_235)
% 27.12/6.97 | (467) op2(e20, all_0_243_243) = all_0_125_125
% 27.12/6.97 | (468) h4(all_0_256_256) = all_0_21_21
% 27.12/6.97 | (469) op2(e20, all_0_245_245) = all_0_131_131
% 27.12/6.97 | (470) op1(e13, all_0_250_250) = all_0_177_177
% 27.12/6.97 | (471) op2(e23, all_0_234_234) = all_0_133_133
% 27.12/6.97 | (472) op1(all_0_251_251, e12) = all_0_215_215
% 27.12/6.97 | (473) op2(e22, e21) = all_0_240_240
% 27.12/6.97 | (474) ~ (all_0_249_249 = all_0_253_253)
% 27.12/6.97 | (475) ~ (all_0_234_234 = all_0_236_236)
% 27.12/6.97 | (476) all_0_250_250 = e12 | all_0_251_251 = e12 | all_0_252_252 = e12
% 27.12/6.97 | (477) op2(all_0_234_234, all_0_133_133) = all_0_12_12
% 27.12/6.97 | (478) ~ (all_0_248_248 = all_0_256_256)
% 27.12/6.97 | (479) h3(all_0_252_252) = all_0_40_40
% 27.12/6.97 | (480) op2(e22, all_0_147_147) = all_0_94_94
% 27.12/6.97 | (481) ~ (all_0_251_251 = all_0_255_255)
% 27.12/6.97 |
% 27.12/6.97 | Instantiating formula (340) with all_0_234_234, e23, all_0_132_132, all_0_14_14 and discharging atoms op2(all_0_234_234, e23) = all_0_14_14, op2(all_0_234_234, e23) = all_0_132_132, yields:
% 27.12/6.97 | (482) all_0_14_14 = all_0_132_132
% 27.12/6.97 |
% 27.12/6.97 | Instantiating formula (340) with all_0_239_239, e22, all_0_146_146, all_0_41_41 and discharging atoms op2(all_0_239_239, e22) = all_0_41_41, op2(all_0_239_239, e22) = all_0_146_146, yields:
% 27.12/6.97 | (483) all_0_41_41 = all_0_146_146
% 27.12/6.97 |
% 27.12/6.97 | Instantiating formula (340) with all_0_244_244, e21, all_0_160_160, all_0_68_68 and discharging atoms op2(all_0_244_244, e21) = all_0_68_68, op2(all_0_244_244, e21) = all_0_160_160, yields:
% 27.12/6.97 | (484) all_0_68_68 = all_0_160_160
% 27.12/6.97 |
% 27.12/6.97 | Instantiating formula (340) with e23, all_0_133_133, all_0_93_93, all_0_26_26 and discharging atoms op2(e23, all_0_133_133) = all_0_26_26, op2(e23, all_0_133_133) = all_0_93_93, yields:
% 27.12/6.97 | (485) all_0_26_26 = all_0_93_93
% 27.12/6.97 |
% 27.12/6.97 | Instantiating formula (340) with e23, all_0_234_234, all_0_133_133, all_0_25_25 and discharging atoms op2(e23, all_0_234_234) = all_0_25_25, op2(e23, all_0_234_234) = all_0_133_133, yields:
% 27.12/6.97 | (486) all_0_25_25 = all_0_133_133
% 27.12/6.97 |
% 27.12/6.97 | Instantiating formula (340) with e22, all_0_147_147, all_0_94_94, all_0_53_53 and discharging atoms op2(e22, all_0_147_147) = all_0_53_53, op2(e22, all_0_147_147) = all_0_94_94, yields:
% 27.12/6.97 | (487) all_0_53_53 = all_0_94_94
% 27.12/6.97 |
% 27.12/6.97 | Instantiating formula (340) with e22, all_0_239_239, all_0_147_147, all_0_52_52 and discharging atoms op2(e22, all_0_239_239) = all_0_52_52, op2(e22, all_0_239_239) = all_0_147_147, yields:
% 27.12/6.97 | (488) all_0_52_52 = all_0_147_147
% 27.12/6.97 |
% 27.12/6.97 | Instantiating formula (340) with e21, all_0_161_161, all_0_95_95, all_0_80_80 and discharging atoms op2(e21, all_0_161_161) = all_0_80_80, op2(e21, all_0_161_161) = all_0_95_95, yields:
% 27.12/6.97 | (489) all_0_80_80 = all_0_95_95
% 27.12/6.97 |
% 27.12/6.97 | Instantiating formula (340) with e21, all_0_244_244, all_0_161_161, all_0_79_79 and discharging atoms op2(e21, all_0_244_244) = all_0_79_79, op2(e21, all_0_244_244) = all_0_161_161, yields:
% 27.12/6.97 | (490) all_0_79_79 = all_0_161_161
% 27.12/6.97 |
% 27.12/6.97 | From (482) and (7) follows:
% 27.12/6.97 | (270) op2(all_0_234_234, e23) = all_0_132_132
% 27.12/6.97 |
% 27.12/6.97 | From (483) and (356) follows:
% 27.12/6.97 | (292) op2(all_0_239_239, e22) = all_0_146_146
% 27.12/6.97 |
% 27.12/6.97 | From (484) and (456) follows:
% 27.12/6.97 | (443) op2(all_0_244_244, e21) = all_0_160_160
% 27.12/6.97 |
% 27.12/6.97 | From (485) and (49) follows:
% 27.12/6.97 | (341) op2(e23, all_0_133_133) = all_0_93_93
% 27.12/6.97 |
% 27.12/6.97 | From (486) and (3) follows:
% 27.12/6.97 | (471) op2(e23, all_0_234_234) = all_0_133_133
% 27.12/6.97 |
% 27.12/6.97 | From (487) and (181) follows:
% 27.12/6.97 | (480) op2(e22, all_0_147_147) = all_0_94_94
% 27.12/6.97 |
% 27.12/6.97 | From (488) and (347) follows:
% 27.12/6.97 | (130) op2(e22, all_0_239_239) = all_0_147_147
% 27.12/6.97 |
% 27.12/6.97 | From (489) and (37) follows:
% 27.12/6.97 | (83) op2(e21, all_0_161_161) = all_0_95_95
% 27.12/6.97 |
% 27.12/6.97 | From (490) and (131) follows:
% 27.12/6.97 | (267) op2(e21, all_0_244_244) = all_0_161_161
% 27.12/6.97 |
% 27.12/6.97 +-Applying beta-rule and splitting (182), into two cases.
% 27.12/6.97 |-Branch one:
% 27.12/6.97 | (500) all_0_242_242 = e21
% 27.12/6.97 |
% 27.12/6.97 | Equations (500) can reduce 354 to:
% 27.12/6.97 | (501) ~ (all_0_234_234 = e21)
% 27.12/6.97 |
% 27.12/6.97 | Equations (500) can reduce 66 to:
% 27.12/6.97 | (502) ~ (all_0_238_238 = e21)
% 27.12/6.97 |
% 27.12/6.97 | Equations (500) can reduce 392 to:
% 27.12/6.97 | (503) ~ (all_0_243_243 = e21)
% 27.12/6.97 |
% 27.12/6.97 | Simplifying 503 yields:
% 27.12/6.97 | (74) ~ (all_0_243_243 = e21)
% 27.12/6.97 |
% 27.12/6.97 | Equations (500) can reduce 44 to:
% 27.12/6.97 | (505) ~ (all_0_245_245 = e21)
% 27.12/6.97 |
% 27.12/6.97 | Simplifying 505 yields:
% 27.12/6.97 | (506) ~ (all_0_245_245 = e21)
% 27.12/6.97 |
% 27.12/6.97 | Equations (500) can reduce 266 to:
% 27.12/6.97 | (401) ~ (e21 = e20)
% 27.12/6.97 |
% 27.12/6.97 | From (500) and (302) follows:
% 27.12/6.97 | (508) op2(e21, e23) = all_0_154_154
% 27.12/6.97 |
% 27.12/6.97 | From (500) and (97) follows:
% 27.12/6.97 | (509) op2(e21, e21) = all_0_155_155
% 27.12/6.97 |
% 27.12/6.97 | From (500) and (165) follows:
% 27.12/6.97 | (510) op2(e23, e21) = all_0_120_120
% 27.12/6.97 |
% 27.12/6.97 | From (500) and (135) follows:
% 27.12/6.97 | (511) op2(e22, e21) = all_0_121_121
% 27.12/6.97 |
% 27.12/6.97 | From (500) and (432) follows:
% 27.12/6.97 | (512) op2(e21, e23) = e21
% 27.12/6.97 |
% 27.12/6.97 | From (500) and (351) follows:
% 27.12/6.97 | (513) op2(e20, e21) = all_0_122_122
% 27.12/6.97 |
% 27.12/6.97 | Instantiating formula (340) with e23, e21, all_0_120_120, all_0_236_236 and discharging atoms op2(e23, e21) = all_0_120_120, op2(e23, e21) = all_0_236_236, yields:
% 27.12/6.98 | (514) all_0_120_120 = all_0_236_236
% 27.12/6.98 |
% 27.12/6.98 | Instantiating formula (340) with e22, e21, all_0_121_121, all_0_240_240 and discharging atoms op2(e22, e21) = all_0_121_121, op2(e22, e21) = all_0_240_240, yields:
% 27.12/6.98 | (515) all_0_121_121 = all_0_240_240
% 27.12/6.98 |
% 27.12/6.98 | Instantiating formula (340) with e21, e23, e21, all_0_154_154 and discharging atoms op2(e21, e23) = all_0_154_154, op2(e21, e23) = e21, yields:
% 27.12/6.98 | (516) all_0_154_154 = e21
% 27.12/6.98 |
% 27.12/6.98 | Instantiating formula (340) with e21, e21, all_0_155_155, all_0_244_244 and discharging atoms op2(e21, e21) = all_0_155_155, op2(e21, e21) = all_0_244_244, yields:
% 27.12/6.98 | (517) all_0_155_155 = all_0_244_244
% 27.12/6.98 |
% 27.12/6.98 | Instantiating formula (340) with e20, e21, all_0_122_122, e23 and discharging atoms op2(e20, e21) = all_0_122_122, op2(e20, e21) = e23, yields:
% 27.12/6.98 | (518) all_0_122_122 = e23
% 27.12/6.98 |
% 27.12/6.98 | From (514) and (510) follows:
% 27.12/6.98 | (451) op2(e23, e21) = all_0_236_236
% 27.12/6.98 |
% 27.12/6.98 | From (515) and (511) follows:
% 27.12/6.98 | (473) op2(e22, e21) = all_0_240_240
% 27.12/6.98 |
% 27.12/6.98 | From (516) and (508) follows:
% 27.12/6.98 | (512) op2(e21, e23) = e21
% 27.12/6.98 |
% 27.12/6.98 | From (518) and (513) follows:
% 27.12/6.98 | (323) op2(e20, e21) = e23
% 27.12/6.98 |
% 27.12/6.98 +-Applying beta-rule and splitting (52), into two cases.
% 27.12/6.98 |-Branch one:
% 27.12/6.98 | (523) all_0_237_237 = e21
% 27.12/6.98 |
% 27.12/6.98 | Equations (523) can reduce 76 to:
% 27.12/6.98 | (501) ~ (all_0_234_234 = e21)
% 27.12/6.98 |
% 27.12/6.98 | Equations (523) can reduce 447 to:
% 27.12/6.98 | (416) ~ (all_0_235_235 = e21)
% 27.12/6.98 |
% 27.12/6.98 | Equations (523) can reduce 245 to:
% 27.12/6.98 | (526) ~ (all_0_241_241 = e21)
% 27.12/6.98 |
% 27.12/6.98 | Simplifying 526 yields:
% 27.12/6.98 | (527) ~ (all_0_241_241 = e21)
% 27.12/6.98 |
% 27.12/6.98 | Equations (523) can reduce 418 to:
% 27.12/6.98 | (505) ~ (all_0_245_245 = e21)
% 27.12/6.98 |
% 27.12/6.98 | Simplifying 505 yields:
% 27.12/6.98 | (506) ~ (all_0_245_245 = e21)
% 27.12/6.98 |
% 27.12/6.98 | Equations (523) can reduce 337 to:
% 27.12/6.98 | (530) ~ (e22 = e21)
% 27.12/6.98 |
% 27.12/6.98 | Simplifying 530 yields:
% 27.12/6.98 | (92) ~ (e22 = e21)
% 27.12/6.98 |
% 27.12/6.98 | From (523) and (268) follows:
% 27.12/6.98 | (532) op2(e21, e23) = all_0_141_141
% 27.12/6.98 |
% 27.12/6.98 | From (523) and (4) follows:
% 27.12/6.98 | (533) op2(e23, e21) = all_0_142_142
% 27.12/6.98 |
% 27.12/6.98 | From (523) and (441) follows:
% 27.12/6.98 | (534) op2(e23, e20) = e21
% 27.12/6.98 |
% 27.12/6.98 | From (523) and (201) follows:
% 27.12/6.98 | (535) op2(e20, e21) = all_0_107_107
% 27.12/6.98 |
% 27.12/6.98 +-Applying beta-rule and splitting (464), into two cases.
% 27.12/6.98 |-Branch one:
% 27.12/6.98 | (536) all_0_238_238 = e21
% 27.12/6.98 |
% 27.12/6.98 | Equations (536) can reduce 502 to:
% 27.12/6.98 | (537) $false
% 27.12/6.98 |
% 27.12/6.98 |-The branch is then unsatisfiable
% 27.12/6.98 |-Branch two:
% 27.12/6.98 | (502) ~ (all_0_238_238 = e21)
% 27.12/6.98 | (539) all_0_240_240 = e21 | all_0_241_241 = e21
% 27.12/6.98 |
% 27.12/6.98 +-Applying beta-rule and splitting (539), into two cases.
% 27.12/6.98 |-Branch one:
% 27.12/6.98 | (540) all_0_240_240 = e21
% 27.12/6.98 |
% 27.12/6.98 | Equations (540) can reduce 79 to:
% 27.12/6.98 | (541) ~ (all_0_236_236 = e21)
% 27.12/6.98 |
% 27.12/6.98 | Equations (540) can reduce 306 to:
% 27.12/6.98 | (502) ~ (all_0_238_238 = e21)
% 27.12/6.98 |
% 27.12/6.98 | Equations (540) can reduce 84 to:
% 27.12/6.98 | (18) ~ (all_0_239_239 = e21)
% 27.12/6.98 |
% 27.12/6.98 | Equations (540) can reduce 186 to:
% 27.12/6.98 | (526) ~ (all_0_241_241 = e21)
% 27.12/6.98 |
% 27.12/6.98 | Simplifying 526 yields:
% 27.12/6.98 | (527) ~ (all_0_241_241 = e21)
% 27.12/6.98 |
% 27.12/6.98 | Equations (540) can reduce 350 to:
% 27.12/6.98 | (546) ~ (all_0_244_244 = e21)
% 27.12/6.98 |
% 27.12/6.98 | Simplifying 546 yields:
% 27.12/6.98 | (547) ~ (all_0_244_244 = e21)
% 27.12/6.98 |
% 27.12/6.98 | Equations (540) can reduce 327 to:
% 27.12/6.98 | (548) ~ (e23 = e21)
% 27.12/6.98 |
% 27.12/6.98 | Simplifying 548 yields:
% 27.12/6.98 | (215) ~ (e23 = e21)
% 27.12/6.98 |
% 27.12/6.98 | From (540) and (426) follows:
% 27.12/6.98 | (550) op2(e21, e22) = all_0_149_149
% 27.12/6.98 |
% 27.12/6.98 | From (540) and (105) follows:
% 27.12/6.98 | (551) op2(e23, e21) = all_0_114_114
% 27.12/6.98 |
% 27.12/6.98 | From (540) and (35) follows:
% 27.12/6.98 | (552) op2(e20, e21) = all_0_116_116
% 27.12/6.98 |
% 27.12/6.98 | Instantiating formula (340) with e23, e21, all_0_114_114, all_0_236_236 and discharging atoms op2(e23, e21) = all_0_114_114, op2(e23, e21) = all_0_236_236, yields:
% 27.12/6.98 | (553) all_0_114_114 = all_0_236_236
% 27.12/6.98 |
% 27.12/6.98 | Instantiating formula (340) with e23, e21, all_0_142_142, all_0_114_114 and discharging atoms op2(e23, e21) = all_0_114_114, op2(e23, e21) = all_0_142_142, yields:
% 27.12/6.98 | (554) all_0_114_114 = all_0_142_142
% 27.12/6.98 |
% 27.12/6.98 | Instantiating formula (340) with e21, e23, all_0_141_141, e21 and discharging atoms op2(e21, e23) = all_0_141_141, op2(e21, e23) = e21, yields:
% 27.12/6.98 | (555) all_0_141_141 = e21
% 27.12/6.98 |
% 27.12/6.98 | Instantiating formula (340) with e21, e22, all_0_149_149, all_0_243_243 and discharging atoms op2(e21, e22) = all_0_149_149, op2(e21, e22) = all_0_243_243, yields:
% 27.12/6.98 | (556) all_0_149_149 = all_0_243_243
% 27.12/6.98 |
% 27.12/6.98 | Instantiating formula (340) with e20, e21, all_0_107_107, e23 and discharging atoms op2(e20, e21) = all_0_107_107, op2(e20, e21) = e23, yields:
% 27.12/6.98 | (557) all_0_107_107 = e23
% 27.12/6.98 |
% 27.12/6.98 | Instantiating formula (340) with e20, e21, all_0_116_116, all_0_107_107 and discharging atoms op2(e20, e21) = all_0_107_107, op2(e20, e21) = all_0_116_116, yields:
% 27.12/6.98 | (558) all_0_107_107 = all_0_116_116
% 27.12/6.98 |
% 27.12/6.98 | Combining equations (557,558) yields a new equation:
% 27.12/6.98 | (559) all_0_116_116 = e23
% 27.12/6.98 |
% 27.12/6.98 | Combining equations (553,554) yields a new equation:
% 27.12/6.98 | (560) all_0_142_142 = all_0_236_236
% 27.12/6.98 |
% 27.12/6.98 | From (560) and (533) follows:
% 27.12/6.98 | (451) op2(e23, e21) = all_0_236_236
% 27.12/6.98 |
% 27.12/6.98 | From (555) and (532) follows:
% 27.12/6.98 | (512) op2(e21, e23) = e21
% 27.12/6.98 |
% 27.12/6.98 | From (556) and (550) follows:
% 27.12/6.98 | (54) op2(e21, e22) = all_0_243_243
% 27.12/6.98 |
% 27.12/6.98 | From (559) and (552) follows:
% 27.12/6.98 | (323) op2(e20, e21) = e23
% 27.12/6.98 |
% 27.12/6.98 +-Applying beta-rule and splitting (65), into two cases.
% 27.12/6.98 |-Branch one:
% 27.12/6.98 | (536) all_0_238_238 = e21
% 27.12/6.98 |
% 27.12/6.98 | Equations (536) can reduce 502 to:
% 27.12/6.98 | (537) $false
% 27.12/6.98 |
% 27.12/6.98 |-The branch is then unsatisfiable
% 27.12/6.98 |-Branch two:
% 27.12/6.98 | (502) ~ (all_0_238_238 = e21)
% 27.12/6.98 | (568) all_0_238_238 = e23 | all_0_238_238 = e22
% 27.12/6.98 |
% 27.12/6.98 +-Applying beta-rule and splitting (290), into two cases.
% 27.12/6.98 |-Branch one:
% 27.12/6.98 | (569) all_0_245_245 = e21
% 27.12/6.98 |
% 27.12/6.98 | Equations (569) can reduce 506 to:
% 27.12/6.98 | (537) $false
% 27.12/6.98 |
% 27.12/6.98 |-The branch is then unsatisfiable
% 27.12/6.98 |-Branch two:
% 27.12/6.98 | (506) ~ (all_0_245_245 = e21)
% 27.12/6.99 | (572) all_0_245_245 = e23 | all_0_245_245 = e20
% 27.12/6.99 |
% 27.12/6.99 +-Applying beta-rule and splitting (26), into two cases.
% 27.12/6.99 |-Branch one:
% 27.12/6.99 | (573) all_0_234_234 = e21
% 27.12/6.99 |
% 27.12/6.99 | Equations (573) can reduce 501 to:
% 27.12/6.99 | (537) $false
% 27.12/6.99 |
% 27.12/6.99 |-The branch is then unsatisfiable
% 27.12/6.99 |-Branch two:
% 27.12/6.99 | (501) ~ (all_0_234_234 = e21)
% 27.12/6.99 | (576) all_0_234_234 = e23 | all_0_234_234 = e22
% 27.12/6.99 |
% 27.12/6.99 +-Applying beta-rule and splitting (195), into two cases.
% 27.12/6.99 |-Branch one:
% 27.12/6.99 | (577) all_0_236_236 = e21
% 27.12/6.99 |
% 27.12/6.99 | Equations (577) can reduce 541 to:
% 27.12/6.99 | (537) $false
% 27.12/6.99 |
% 27.12/6.99 |-The branch is then unsatisfiable
% 27.12/6.99 |-Branch two:
% 27.12/6.99 | (541) ~ (all_0_236_236 = e21)
% 27.12/6.99 | (580) all_0_236_236 = e22 | all_0_236_236 = e20
% 27.12/6.99 |
% 27.12/6.99 +-Applying beta-rule and splitting (280), into two cases.
% 27.12/6.99 |-Branch one:
% 27.12/6.99 | (581) all_0_244_244 = e21
% 27.12/6.99 |
% 27.12/6.99 | Equations (581) can reduce 547 to:
% 27.12/6.99 | (537) $false
% 27.12/6.99 |
% 27.12/6.99 |-The branch is then unsatisfiable
% 27.12/6.99 |-Branch two:
% 27.12/6.99 | (547) ~ (all_0_244_244 = e21)
% 27.12/6.99 | (584) all_0_244_244 = e22 | all_0_244_244 = e20
% 27.12/6.99 |
% 27.12/6.99 +-Applying beta-rule and splitting (344), into two cases.
% 27.12/6.99 |-Branch one:
% 27.12/6.99 | (585) all_0_241_241 = e21
% 27.12/6.99 |
% 27.12/6.99 | Equations (585) can reduce 527 to:
% 27.12/6.99 | (537) $false
% 27.12/6.99 |
% 27.12/6.99 |-The branch is then unsatisfiable
% 27.12/6.99 |-Branch two:
% 27.12/6.99 | (527) ~ (all_0_241_241 = e21)
% 27.12/6.99 | (588) all_0_241_241 = e23 | all_0_241_241 = e20
% 27.12/6.99 |
% 27.12/6.99 +-Applying beta-rule and splitting (204), into two cases.
% 27.12/6.99 |-Branch one:
% 27.12/6.99 | (589) all_0_237_237 = e23
% 27.12/6.99 |
% 27.12/6.99 | Combining equations (523,589) yields a new equation:
% 27.12/6.99 | (590) e23 = e21
% 27.12/6.99 |
% 27.12/6.99 | Equations (590) can reduce 215 to:
% 27.12/6.99 | (537) $false
% 27.12/6.99 |
% 27.12/6.99 |-The branch is then unsatisfiable
% 27.12/6.99 |-Branch two:
% 27.12/6.99 | (592) ~ (all_0_237_237 = e23)
% 27.12/6.99 | (593) all_0_241_241 = e23 | all_0_245_245 = e23
% 27.12/6.99 |
% 27.12/6.99 | Equations (523) can reduce 592 to:
% 27.12/6.99 | (548) ~ (e23 = e21)
% 27.12/6.99 |
% 27.12/6.99 | Simplifying 548 yields:
% 27.12/6.99 | (215) ~ (e23 = e21)
% 27.12/6.99 |
% 27.12/6.99 +-Applying beta-rule and splitting (390), into two cases.
% 27.12/6.99 |-Branch one:
% 27.12/6.99 | (596) all_0_242_242 = e23
% 27.12/6.99 |
% 27.12/6.99 | Combining equations (596,500) yields a new equation:
% 27.12/6.99 | (597) e23 = e21
% 27.12/6.99 |
% 27.12/6.99 | Simplifying 597 yields:
% 27.12/6.99 | (590) e23 = e21
% 27.12/6.99 |
% 27.12/6.99 | Equations (590) can reduce 215 to:
% 27.12/6.99 | (537) $false
% 27.12/6.99 |
% 27.12/6.99 |-The branch is then unsatisfiable
% 27.12/6.99 |-Branch two:
% 27.12/6.99 | (600) ~ (all_0_242_242 = e23)
% 27.12/6.99 | (601) all_0_243_243 = e23 | all_0_245_245 = e23
% 27.12/6.99 |
% 27.12/6.99 | Equations (500) can reduce 600 to:
% 27.12/6.99 | (548) ~ (e23 = e21)
% 27.12/6.99 |
% 27.12/6.99 | Simplifying 548 yields:
% 27.12/6.99 | (215) ~ (e23 = e21)
% 27.12/6.99 |
% 27.12/6.99 +-Applying beta-rule and splitting (430), into two cases.
% 27.12/6.99 |-Branch one:
% 27.12/6.99 | (604) all_0_234_234 = e23
% 27.12/6.99 |
% 27.12/6.99 | Equations (604) can reduce 466 to:
% 27.12/6.99 | (605) ~ (all_0_235_235 = e23)
% 27.12/6.99 |
% 27.12/6.99 | Simplifying 605 yields:
% 27.12/6.99 | (606) ~ (all_0_235_235 = e23)
% 27.12/6.99 |
% 27.12/6.99 | Equations (604) can reduce 228 to:
% 27.12/6.99 | (607) ~ (all_0_238_238 = e23)
% 27.12/6.99 |
% 27.12/6.99 | Simplifying 607 yields:
% 27.12/6.99 | (608) ~ (all_0_238_238 = e23)
% 27.12/6.99 |
% 27.12/6.99 | From (604) and (388) follows:
% 27.12/6.99 | (609) op2(e20, e23) = all_0_98_98
% 27.12/6.99 |
% 27.12/6.99 +-Applying beta-rule and splitting (568), into two cases.
% 27.12/6.99 |-Branch one:
% 27.12/6.99 | (610) all_0_238_238 = e22
% 27.12/6.99 |
% 27.12/6.99 | Equations (610) can reduce 265 to:
% 27.12/6.99 | (611) ~ (all_0_241_241 = e22)
% 27.12/6.99 |
% 27.12/6.99 | Simplifying 611 yields:
% 27.12/6.99 | (152) ~ (all_0_241_241 = e22)
% 27.12/6.99 |
% 27.12/6.99 | Equations (610) can reduce 608 to:
% 27.12/6.99 | (613) ~ (e23 = e22)
% 27.12/6.99 |
% 27.12/6.99 | Simplifying 613 yields:
% 27.12/6.99 | (449) ~ (e23 = e22)
% 27.12/6.99 |
% 27.12/6.99 | Equations (610) can reduce 208 to:
% 27.12/6.99 | (294) ~ (e22 = e20)
% 27.12/6.99 |
% 27.12/6.99 | From (610) and (133) follows:
% 27.12/6.99 | (616) op2(e22, e22) = all_0_144_144
% 27.12/6.99 |
% 27.12/6.99 | From (610) and (283) follows:
% 27.12/6.99 | (617) op2(e23, e22) = all_0_108_108
% 27.12/6.99 |
% 27.12/6.99 | From (610) and (235) follows:
% 27.12/6.99 | (618) op2(e22, e22) = all_0_145_145
% 27.12/6.99 |
% 27.12/6.99 | From (610) and (6) follows:
% 27.12/6.99 | (619) op2(e21, e22) = all_0_109_109
% 27.12/6.99 |
% 27.12/6.99 | From (610) and (393) follows:
% 27.12/6.99 | (620) op2(e20, e22) = all_0_110_110
% 27.12/6.99 |
% 27.12/6.99 | Instantiating formula (340) with e23, e22, all_0_108_108, all_0_235_235 and discharging atoms op2(e23, e22) = all_0_108_108, op2(e23, e22) = all_0_235_235, yields:
% 27.12/6.99 | (621) all_0_108_108 = all_0_235_235
% 27.12/6.99 |
% 27.12/6.99 | Instantiating formula (340) with e22, e22, all_0_144_144, all_0_239_239 and discharging atoms op2(e22, e22) = all_0_144_144, op2(e22, e22) = all_0_239_239, yields:
% 27.12/6.99 | (622) all_0_144_144 = all_0_239_239
% 27.12/6.99 |
% 27.12/6.99 | Instantiating formula (340) with e22, e22, all_0_145_145, all_0_144_144 and discharging atoms op2(e22, e22) = all_0_144_144, op2(e22, e22) = all_0_145_145, yields:
% 27.12/6.99 | (623) all_0_144_144 = all_0_145_145
% 27.12/6.99 |
% 27.12/6.99 | Instantiating formula (340) with e21, e22, all_0_109_109, all_0_243_243 and discharging atoms op2(e21, e22) = all_0_109_109, op2(e21, e22) = all_0_243_243, yields:
% 27.12/6.99 | (624) all_0_109_109 = all_0_243_243
% 27.12/6.99 |
% 27.12/6.99 | Instantiating formula (340) with e20, e23, all_0_98_98, e20 and discharging atoms op2(e20, e23) = all_0_98_98, op2(e20, e23) = e20, yields:
% 27.12/6.99 | (625) all_0_98_98 = e20
% 27.12/6.99 |
% 27.12/6.99 | Instantiating formula (340) with e20, e22, all_0_110_110, e21 and discharging atoms op2(e20, e22) = all_0_110_110, op2(e20, e22) = e21, yields:
% 27.12/6.99 | (626) all_0_110_110 = e21
% 27.12/6.99 |
% 27.12/6.99 | Combining equations (622,623) yields a new equation:
% 27.12/6.99 | (627) all_0_145_145 = all_0_239_239
% 27.12/6.99 |
% 27.12/6.99 | Combining equations (627,623) yields a new equation:
% 27.12/6.99 | (622) all_0_144_144 = all_0_239_239
% 27.12/6.99 |
% 27.12/6.99 | From (621) and (617) follows:
% 27.12/6.99 | (436) op2(e23, e22) = all_0_235_235
% 27.12/6.99 |
% 27.12/6.99 | From (624) and (619) follows:
% 27.12/6.99 | (54) op2(e21, e22) = all_0_243_243
% 27.12/6.99 |
% 27.12/6.99 | From (625) and (609) follows:
% 27.12/6.99 | (253) op2(e20, e23) = e20
% 27.12/6.99 |
% 27.12/6.99 | From (626) and (620) follows:
% 27.12/6.99 | (39) op2(e20, e22) = e21
% 27.12/6.99 |
% 27.12/6.99 +-Applying beta-rule and splitting (448), into two cases.
% 27.12/6.99 |-Branch one:
% 27.12/6.99 | (633) all_0_235_235 = e23
% 27.12/6.99 |
% 27.12/6.99 | Equations (633) can reduce 606 to:
% 27.12/6.99 | (537) $false
% 27.12/6.99 |
% 27.12/6.99 |-The branch is then unsatisfiable
% 27.12/6.99 |-Branch two:
% 27.12/6.99 | (606) ~ (all_0_235_235 = e23)
% 27.12/6.99 | (636) all_0_239_239 = e23 | all_0_243_243 = e23
% 27.12/6.99 |
% 27.12/6.99 +-Applying beta-rule and splitting (397), into two cases.
% 27.12/6.99 |-Branch one:
% 27.12/6.99 | (637) all_0_238_238 = e23
% 27.12/6.99 |
% 27.12/6.99 | Combining equations (637,610) yields a new equation:
% 27.12/6.99 | (638) e23 = e22
% 27.12/6.99 |
% 27.12/6.99 | Simplifying 638 yields:
% 27.12/6.99 | (639) e23 = e22
% 27.12/6.99 |
% 27.12/6.99 | Equations (639) can reduce 449 to:
% 27.12/6.99 | (537) $false
% 27.12/6.99 |
% 27.12/6.99 |-The branch is then unsatisfiable
% 27.12/6.99 |-Branch two:
% 27.12/6.99 | (608) ~ (all_0_238_238 = e23)
% 27.12/6.99 | (642) all_0_239_239 = e23 | all_0_241_241 = e23
% 27.12/6.99 |
% 27.12/6.99 | Equations (610) can reduce 608 to:
% 27.12/6.99 | (613) ~ (e23 = e22)
% 27.12/6.99 |
% 27.12/6.99 | Simplifying 613 yields:
% 27.12/6.99 | (449) ~ (e23 = e22)
% 27.12/6.99 |
% 27.12/6.99 +-Applying beta-rule and splitting (191), into two cases.
% 27.12/6.99 |-Branch one:
% 27.12/6.99 | (645) all_0_236_236 = e22
% 27.12/6.99 |
% 27.12/6.99 | Equations (645) can reduce 107 to:
% 27.12/6.99 | (646) ~ (all_0_235_235 = e22)
% 27.12/6.99 |
% 27.12/6.99 +-Applying beta-rule and splitting (281), into two cases.
% 27.12/6.99 |-Branch one:
% 27.12/6.99 | (647) all_0_235_235 = e22
% 27.12/6.99 |
% 27.12/6.99 | Equations (647) can reduce 646 to:
% 27.12/6.99 | (537) $false
% 27.12/6.99 |
% 27.12/6.99 |-The branch is then unsatisfiable
% 27.12/6.99 |-Branch two:
% 27.12/6.99 | (646) ~ (all_0_235_235 = e22)
% 27.12/6.99 | (650) all_0_239_239 = e22 | all_0_243_243 = e22
% 27.12/6.99 |
% 27.12/6.99 +-Applying beta-rule and splitting (157), into two cases.
% 27.12/6.99 |-Branch one:
% 27.12/6.99 | (651) all_0_235_235 = e20
% 27.12/6.99 |
% 27.12/6.99 | Equations (651) can reduce 646 to:
% 27.12/6.99 | (652) ~ (e22 = e20)
% 27.12/6.99 |
% 27.12/6.99 | Simplifying 652 yields:
% 27.12/6.99 | (294) ~ (e22 = e20)
% 27.12/6.99 |
% 27.12/6.99 | Equations (651) can reduce 416 to:
% 27.12/6.99 | (654) ~ (e21 = e20)
% 27.12/6.99 |
% 27.12/6.99 | Simplifying 654 yields:
% 27.12/6.99 | (401) ~ (e21 = e20)
% 27.12/6.99 |
% 27.12/6.99 +-Applying beta-rule and splitting (324), into two cases.
% 27.12/6.99 |-Branch one:
% 27.12/6.99 | (656) all_0_236_236 = e20
% 27.12/6.99 |
% 27.12/6.99 | Combining equations (645,656) yields a new equation:
% 27.12/6.99 | (657) e22 = e20
% 27.12/6.99 |
% 27.12/6.99 | Simplifying 657 yields:
% 27.12/6.99 | (658) e22 = e20
% 27.12/6.99 |
% 27.12/6.99 | Equations (658) can reduce 294 to:
% 27.12/6.99 | (537) $false
% 27.12/6.99 |
% 27.12/6.99 |-The branch is then unsatisfiable
% 27.12/6.99 |-Branch two:
% 27.12/6.99 | (660) ~ (all_0_236_236 = e20)
% 27.12/6.99 | (661) all_0_240_240 = e20 | all_0_244_244 = e20
% 27.12/6.99 |
% 27.12/6.99 +-Applying beta-rule and splitting (661), into two cases.
% 27.12/6.99 |-Branch one:
% 27.12/6.99 | (662) all_0_240_240 = e20
% 27.12/6.99 |
% 27.12/6.99 | Combining equations (540,662) yields a new equation:
% 27.12/6.99 | (663) e21 = e20
% 27.12/6.99 |
% 27.12/6.99 | Simplifying 663 yields:
% 27.12/6.99 | (664) e21 = e20
% 27.12/6.99 |
% 27.12/6.99 | Equations (664) can reduce 401 to:
% 27.12/6.99 | (537) $false
% 27.12/6.99 |
% 27.12/6.99 |-The branch is then unsatisfiable
% 27.12/6.99 |-Branch two:
% 27.12/6.99 | (666) ~ (all_0_240_240 = e20)
% 27.12/6.99 | (667) all_0_244_244 = e20
% 27.12/6.99 |
% 27.12/6.99 | Equations (667) can reduce 362 to:
% 27.12/6.99 | (668) ~ (all_0_243_243 = e20)
% 27.12/6.99 |
% 27.12/6.99 | Equations (667) can reduce 145 to:
% 27.12/6.99 | (669) ~ (all_0_245_245 = e20)
% 27.12/6.99 |
% 27.12/6.99 | Simplifying 669 yields:
% 27.12/6.99 | (670) ~ (all_0_245_245 = e20)
% 27.12/6.99 |
% 27.12/6.99 | Equations (667) can reduce 95 to:
% 27.12/6.99 | (671) ~ (e23 = e20)
% 27.12/6.99 |
% 27.12/6.99 | Simplifying 671 yields:
% 27.12/6.99 | (14) ~ (e23 = e20)
% 27.12/6.99 |
% 27.12/6.99 | Equations (667) can reduce 547 to:
% 27.12/6.99 | (654) ~ (e21 = e20)
% 27.12/6.99 |
% 27.12/6.99 | Simplifying 654 yields:
% 27.12/6.99 | (401) ~ (e21 = e20)
% 27.12/6.99 |
% 27.12/6.99 +-Applying beta-rule and splitting (452), into two cases.
% 27.12/6.99 |-Branch one:
% 27.12/6.99 | (675) all_0_237_237 = e20
% 27.12/6.99 |
% 27.12/6.99 | Combining equations (523,675) yields a new equation:
% 27.12/6.99 | (663) e21 = e20
% 27.12/6.99 |
% 27.12/6.99 | Simplifying 663 yields:
% 27.12/6.99 | (664) e21 = e20
% 27.12/6.99 |
% 27.12/6.99 | Equations (664) can reduce 401 to:
% 27.12/6.99 | (537) $false
% 27.12/6.99 |
% 27.12/6.99 |-The branch is then unsatisfiable
% 27.12/6.99 |-Branch two:
% 27.12/6.99 | (679) ~ (all_0_237_237 = e20)
% 27.12/6.99 | (680) all_0_241_241 = e20 | all_0_245_245 = e20
% 27.12/7.00 |
% 27.12/7.00 +-Applying beta-rule and splitting (680), into two cases.
% 27.12/7.00 |-Branch one:
% 27.12/7.00 | (681) all_0_241_241 = e20
% 27.12/7.00 |
% 27.12/7.00 +-Applying beta-rule and splitting (593), into two cases.
% 27.12/7.00 |-Branch one:
% 27.12/7.00 | (682) all_0_241_241 = e23
% 27.12/7.00 |
% 27.12/7.00 | Combining equations (682,681) yields a new equation:
% 27.12/7.00 | (683) e23 = e20
% 27.12/7.00 |
% 27.12/7.00 | Simplifying 683 yields:
% 27.12/7.00 | (684) e23 = e20
% 27.12/7.00 |
% 27.12/7.00 | Equations (684) can reduce 14 to:
% 27.12/7.00 | (537) $false
% 27.12/7.00 |
% 27.12/7.00 |-The branch is then unsatisfiable
% 27.12/7.00 |-Branch two:
% 27.12/7.00 | (686) ~ (all_0_241_241 = e23)
% 27.12/7.00 | (687) all_0_245_245 = e23
% 27.12/7.00 |
% 27.12/7.00 | Equations (687) can reduce 154 to:
% 27.12/7.00 | (688) ~ (all_0_243_243 = e23)
% 27.12/7.00 |
% 27.12/7.00 +-Applying beta-rule and splitting (394), into two cases.
% 27.12/7.00 |-Branch one:
% 27.12/7.00 | (689) all_0_243_243 = e22
% 27.12/7.00 |
% 27.12/7.00 | Equations (689) can reduce 688 to:
% 27.12/7.00 | (613) ~ (e23 = e22)
% 27.12/7.00 |
% 27.12/7.00 | Simplifying 613 yields:
% 27.12/7.00 | (449) ~ (e23 = e22)
% 27.12/7.00 |
% 27.12/7.00 +-Applying beta-rule and splitting (636), into two cases.
% 27.12/7.00 |-Branch one:
% 27.12/7.00 | (692) all_0_239_239 = e23
% 27.12/7.00 |
% 27.12/7.00 +-Applying beta-rule and splitting (40), into two cases.
% 27.12/7.00 |-Branch one:
% 27.12/7.00 | (693) all_0_253_253 = e11
% 27.12/7.00 |
% 27.12/7.00 | Equations (693) can reduce 474 to:
% 27.12/7.00 | (694) ~ (all_0_249_249 = e11)
% 27.12/7.00 |
% 27.12/7.00 | Equations (693) can reduce 111 to:
% 27.12/7.00 | (695) ~ (all_0_250_250 = e11)
% 27.12/7.00 |
% 27.12/7.00 | Equations (693) can reduce 23 to:
% 27.12/7.00 | (108) ~ (all_0_251_251 = e11)
% 27.12/7.00 |
% 27.12/7.00 | Equations (693) can reduce 25 to:
% 27.12/7.00 | (697) ~ (all_0_252_252 = e11)
% 27.12/7.00 |
% 27.12/7.00 | Equations (693) can reduce 46 to:
% 27.12/7.00 | (698) ~ (e12 = e11)
% 27.12/7.00 |
% 27.12/7.00 | Simplifying 698 yields:
% 27.12/7.00 | (113) ~ (e12 = e11)
% 27.12/7.00 |
% 27.12/7.00 | From (693) and (366) follows:
% 27.12/7.00 | (700) op1(e11, e12) = all_0_221_221
% 27.12/7.00 |
% 27.12/7.00 | From (693) and (317) follows:
% 27.12/7.00 | (701) op1(e13, e11) = all_0_186_186
% 27.12/7.00 |
% 27.12/7.00 | From (693) and (123) follows:
% 27.12/7.00 | (702) op1(e12, e11) = all_0_222_222
% 27.12/7.00 |
% 27.12/7.00 | From (693) and (438) follows:
% 27.12/7.00 | (703) op1(e12, e10) = e11
% 27.12/7.00 |
% 27.12/7.00 | From (693) and (115) follows:
% 27.12/7.00 | (704) op1(e11, e11) = all_0_187_187
% 27.12/7.00 |
% 27.12/7.00 | From (693) and (244) follows:
% 27.12/7.00 | (705) op1(e10, e11) = all_0_188_188
% 27.12/7.00 |
% 27.12/7.00 | Instantiating formula (144) with e13, e11, all_0_186_186, all_0_248_248 and discharging atoms op1(e13, e11) = all_0_186_186, op1(e13, e11) = all_0_248_248, yields:
% 27.12/7.00 | (706) all_0_186_186 = all_0_248_248
% 27.12/7.00 |
% 27.12/7.00 | Instantiating formula (144) with e12, e11, all_0_222_222, all_0_252_252 and discharging atoms op1(e12, e11) = all_0_222_222, op1(e12, e11) = all_0_252_252, yields:
% 27.12/7.00 | (707) all_0_222_222 = all_0_252_252
% 27.12/7.00 |
% 27.12/7.00 | Instantiating formula (144) with e11, e12, all_0_221_221, all_0_255_255 and discharging atoms op1(e11, e12) = all_0_221_221, op1(e11, e12) = all_0_255_255, yields:
% 27.12/7.00 | (708) all_0_221_221 = all_0_255_255
% 27.12/7.00 |
% 27.12/7.00 | Instantiating formula (144) with e11, e11, all_0_187_187, all_0_256_256 and discharging atoms op1(e11, e11) = all_0_187_187, op1(e11, e11) = all_0_256_256, yields:
% 27.12/7.00 | (709) all_0_187_187 = all_0_256_256
% 27.12/7.00 |
% 27.12/7.00 | Instantiating formula (144) with e10, e11, all_0_188_188, e13 and discharging atoms op1(e10, e11) = all_0_188_188, op1(e10, e11) = e13, yields:
% 27.12/7.00 | (710) all_0_188_188 = e13
% 27.12/7.00 |
% 27.12/7.00 | From (706) and (701) follows:
% 27.12/7.00 | (24) op1(e13, e11) = all_0_248_248
% 27.12/7.00 |
% 27.12/7.00 | From (707) and (702) follows:
% 27.12/7.00 | (136) op1(e12, e11) = all_0_252_252
% 27.12/7.00 |
% 27.12/7.00 | From (708) and (700) follows:
% 27.12/7.00 | (126) op1(e11, e12) = all_0_255_255
% 27.12/7.00 |
% 27.12/7.00 | From (709) and (704) follows:
% 27.12/7.00 | (223) op1(e11, e11) = all_0_256_256
% 27.12/7.00 |
% 27.12/7.00 | From (710) and (705) follows:
% 27.12/7.00 | (99) op1(e10, e11) = e13
% 27.12/7.00 |
% 27.12/7.00 +-Applying beta-rule and splitting (349), into two cases.
% 27.12/7.00 |-Branch one:
% 27.12/7.00 | (716) all_0_250_250 = e11
% 27.12/7.00 |
% 27.12/7.00 | Equations (716) can reduce 695 to:
% 27.12/7.00 | (537) $false
% 27.12/7.00 |
% 27.12/7.00 |-The branch is then unsatisfiable
% 27.12/7.00 |-Branch two:
% 27.12/7.00 | (695) ~ (all_0_250_250 = e11)
% 27.12/7.00 | (719) all_0_250_250 = e13 | all_0_250_250 = e12
% 27.12/7.00 |
% 27.12/7.00 +-Applying beta-rule and splitting (259), into two cases.
% 27.12/7.00 |-Branch one:
% 27.12/7.00 | (720) all_0_246_246 = e11
% 27.12/7.00 |
% 27.12/7.00 | Equations (720) can reduce 248 to:
% 27.12/7.00 | (721) ~ (all_0_247_247 = e11)
% 27.12/7.00 |
% 27.12/7.00 | Simplifying 721 yields:
% 27.12/7.00 | (101) ~ (all_0_247_247 = e11)
% 27.12/7.00 |
% 27.12/7.00 | Equations (720) can reduce 298 to:
% 27.12/7.00 | (723) ~ (all_0_248_248 = e11)
% 27.12/7.00 |
% 27.12/7.00 | Simplifying 723 yields:
% 27.12/7.00 | (724) ~ (all_0_248_248 = e11)
% 27.12/7.00 |
% 27.12/7.00 | Equations (720) can reduce 428 to:
% 27.12/7.00 | (725) ~ (all_0_249_249 = e11)
% 27.12/7.00 |
% 27.12/7.00 | Simplifying 725 yields:
% 27.12/7.00 | (694) ~ (all_0_249_249 = e11)
% 27.12/7.00 |
% 27.12/7.00 | Equations (720) can reduce 47 to:
% 27.12/7.00 | (727) ~ (all_0_250_250 = e11)
% 27.12/7.00 |
% 27.12/7.00 | Simplifying 727 yields:
% 27.12/7.00 | (695) ~ (all_0_250_250 = e11)
% 27.12/7.00 |
% 27.12/7.00 | Equations (720) can reduce 116 to:
% 27.12/7.00 | (293) ~ (e11 = e10)
% 27.12/7.00 |
% 27.12/7.00 | From (720) and (355) follows:
% 27.12/7.00 | (730) op1(e13, e11) = all_0_202_202
% 27.12/7.00 |
% 27.12/7.00 | From (720) and (367) follows:
% 27.12/7.00 | (731) op1(e13, e13) = e11
% 27.12/7.00 |
% 27.12/7.00 | From (720) and (55) follows:
% 27.12/7.00 | (732) op1(e12, e11) = all_0_165_165
% 27.12/7.00 |
% 27.12/7.00 | From (720) and (345) follows:
% 27.12/7.00 | (733) op1(e10, e11) = all_0_167_167
% 27.12/7.00 |
% 27.12/7.00 +-Applying beta-rule and splitting (67), into two cases.
% 27.12/7.00 |-Branch one:
% 27.12/7.00 | (734) all_0_248_248 = e11
% 27.12/7.00 |
% 27.12/7.00 | Equations (734) can reduce 724 to:
% 27.12/7.00 | (537) $false
% 27.12/7.00 |
% 27.12/7.00 |-The branch is then unsatisfiable
% 27.12/7.00 |-Branch two:
% 27.12/7.00 | (724) ~ (all_0_248_248 = e11)
% 27.12/7.00 | (737) all_0_252_252 = e11 | all_0_256_256 = e11
% 27.12/7.00 |
% 27.12/7.00 +-Applying beta-rule and splitting (737), into two cases.
% 27.12/7.00 |-Branch one:
% 27.12/7.00 | (738) all_0_252_252 = e11
% 27.12/7.00 |
% 27.12/7.00 | Equations (738) can reduce 697 to:
% 27.12/7.00 | (537) $false
% 27.12/7.00 |
% 27.12/7.00 |-The branch is then unsatisfiable
% 27.12/7.00 |-Branch two:
% 27.12/7.00 | (697) ~ (all_0_252_252 = e11)
% 27.12/7.00 | (741) all_0_256_256 = e11
% 27.12/7.00 |
% 27.12/7.00 | Equations (741) can reduce 478 to:
% 27.12/7.00 | (724) ~ (all_0_248_248 = e11)
% 27.12/7.00 |
% 27.12/7.00 | Equations (741) can reduce 162 to:
% 27.12/7.00 | (697) ~ (all_0_252_252 = e11)
% 27.12/7.00 |
% 27.12/7.00 | Equations (741) can reduce 211 to:
% 27.12/7.00 | (744) ~ (all_0_254_254 = e11)
% 27.12/7.00 |
% 27.12/7.00 | Equations (741) can reduce 312 to:
% 27.12/7.00 | (134) ~ (all_0_255_255 = e11)
% 27.12/7.00 |
% 27.12/7.00 | Equations (741) can reduce 227 to:
% 27.12/7.00 | (746) ~ (all_0_257_257 = e11)
% 27.12/7.00 |
% 27.12/7.00 | Simplifying 746 yields:
% 27.12/7.00 | (747) ~ (all_0_257_257 = e11)
% 27.12/7.00 |
% 27.12/7.00 | Equations (741) can reduce 36 to:
% 27.12/7.00 | (748) ~ (e13 = e11)
% 27.12/7.00 |
% 27.12/7.00 | Simplifying 748 yields:
% 27.12/7.00 | (446) ~ (e13 = e11)
% 27.12/7.00 |
% 27.12/7.00 | From (741) and (193) follows:
% 27.12/7.00 | (750) op1(e13, e11) = all_0_195_195
% 27.12/7.00 |
% 27.12/7.00 | From (741) and (138) follows:
% 27.12/7.00 | (751) op1(e12, e11) = all_0_196_196
% 27.12/7.00 |
% 27.12/7.00 | From (741) and (422) follows:
% 27.12/7.00 | (752) op1(e10, e11) = all_0_197_197
% 27.12/7.00 |
% 27.12/7.00 | Instantiating formula (144) with e13, e11, all_0_195_195, all_0_248_248 and discharging atoms op1(e13, e11) = all_0_195_195, op1(e13, e11) = all_0_248_248, yields:
% 27.12/7.00 | (753) all_0_195_195 = all_0_248_248
% 27.12/7.00 |
% 27.12/7.00 | Instantiating formula (144) with e13, e11, all_0_202_202, all_0_195_195 and discharging atoms op1(e13, e11) = all_0_195_195, op1(e13, e11) = all_0_202_202, yields:
% 27.12/7.00 | (754) all_0_195_195 = all_0_202_202
% 27.12/7.00 |
% 27.12/7.00 | Instantiating formula (144) with e12, e11, all_0_165_165, all_0_252_252 and discharging atoms op1(e12, e11) = all_0_165_165, op1(e12, e11) = all_0_252_252, yields:
% 27.12/7.00 | (755) all_0_165_165 = all_0_252_252
% 27.12/7.00 |
% 27.12/7.00 | Instantiating formula (144) with e12, e11, all_0_196_196, all_0_165_165 and discharging atoms op1(e12, e11) = all_0_165_165, op1(e12, e11) = all_0_196_196, yields:
% 27.12/7.00 | (756) all_0_165_165 = all_0_196_196
% 27.12/7.00 |
% 27.12/7.00 | Instantiating formula (144) with e10, e11, all_0_167_167, e13 and discharging atoms op1(e10, e11) = all_0_167_167, op1(e10, e11) = e13, yields:
% 27.12/7.00 | (757) all_0_167_167 = e13
% 27.12/7.00 |
% 27.12/7.00 | Instantiating formula (144) with e10, e11, all_0_197_197, all_0_167_167 and discharging atoms op1(e10, e11) = all_0_167_167, op1(e10, e11) = all_0_197_197, yields:
% 27.12/7.00 | (758) all_0_167_167 = all_0_197_197
% 27.12/7.00 |
% 27.12/7.00 | Combining equations (755,756) yields a new equation:
% 27.12/7.00 | (759) all_0_196_196 = all_0_252_252
% 27.12/7.00 |
% 27.12/7.00 | Combining equations (758,757) yields a new equation:
% 27.12/7.00 | (760) all_0_197_197 = e13
% 27.12/7.00 |
% 27.12/7.00 | Simplifying 760 yields:
% 27.12/7.00 | (761) all_0_197_197 = e13
% 27.12/7.00 |
% 27.12/7.00 | Combining equations (753,754) yields a new equation:
% 27.12/7.00 | (762) all_0_202_202 = all_0_248_248
% 27.12/7.00 |
% 27.12/7.00 | From (762) and (730) follows:
% 27.12/7.00 | (24) op1(e13, e11) = all_0_248_248
% 27.12/7.00 |
% 27.12/7.00 | From (759) and (751) follows:
% 27.12/7.00 | (136) op1(e12, e11) = all_0_252_252
% 27.12/7.00 |
% 27.12/7.00 | From (761) and (752) follows:
% 27.12/7.00 | (99) op1(e10, e11) = e13
% 27.12/7.00 |
% 27.12/7.00 +-Applying beta-rule and splitting (141), into two cases.
% 27.12/7.00 |-Branch one:
% 27.12/7.00 | (738) all_0_252_252 = e11
% 27.12/7.00 |
% 27.12/7.00 | Equations (738) can reduce 697 to:
% 27.12/7.00 | (537) $false
% 27.12/7.00 |
% 27.12/7.00 |-The branch is then unsatisfiable
% 27.12/7.00 |-Branch two:
% 27.12/7.00 | (697) ~ (all_0_252_252 = e11)
% 27.12/7.00 | (769) all_0_252_252 = e12 | all_0_252_252 = e10
% 27.12/7.00 |
% 27.12/7.00 +-Applying beta-rule and splitting (29), into two cases.
% 27.12/7.00 |-Branch one:
% 27.12/7.00 | (770) all_0_246_246 = e12
% 27.12/7.00 |
% 27.12/7.00 | Combining equations (770,720) yields a new equation:
% 27.12/7.00 | (771) e12 = e11
% 27.12/7.00 |
% 27.12/7.00 | Simplifying 771 yields:
% 27.12/7.00 | (772) e12 = e11
% 27.12/7.00 |
% 27.12/7.00 | Equations (772) can reduce 113 to:
% 27.12/7.00 | (537) $false
% 27.12/7.00 |
% 27.12/7.00 |-The branch is then unsatisfiable
% 27.12/7.00 |-Branch two:
% 27.12/7.00 | (774) ~ (all_0_246_246 = e12)
% 27.12/7.00 | (775) all_0_247_247 = e12 | all_0_248_248 = e12
% 27.12/7.00 |
% 27.12/7.00 +-Applying beta-rule and splitting (214), into two cases.
% 27.12/7.00 |-Branch one:
% 27.12/7.00 | (776) all_0_250_250 = e13
% 27.12/7.00 |
% 27.12/7.00 | Equations (776) can reduce 224 to:
% 27.12/7.00 | (777) ~ (all_0_251_251 = e13)
% 27.12/7.00 |
% 27.12/7.00 | Simplifying 777 yields:
% 27.12/7.00 | (778) ~ (all_0_251_251 = e13)
% 27.12/7.00 |
% 27.12/7.00 | Equations (776) can reduce 147 to:
% 27.12/7.00 | (779) ~ (all_0_252_252 = e13)
% 27.12/7.00 |
% 27.12/7.00 | Simplifying 779 yields:
% 27.12/7.00 | (295) ~ (all_0_252_252 = e13)
% 27.12/7.00 |
% 27.12/7.00 | Equations (776) can reduce 378 to:
% 27.12/7.00 | (781) ~ (all_0_254_254 = e13)
% 27.12/7.00 |
% 27.12/7.00 | Simplifying 781 yields:
% 27.12/7.00 | (782) ~ (all_0_254_254 = e13)
% 27.12/7.00 |
% 27.12/7.00 | Equations (776) can reduce 334 to:
% 27.12/7.00 | (210) ~ (e13 = e10)
% 27.12/7.00 |
% 27.12/7.00 | From (776) and (120) follows:
% 27.12/7.00 | (784) op1(e13, e13) = all_0_212_212
% 27.12/7.00 |
% 27.12/7.00 | From (776) and (103) follows:
% 27.12/7.00 | (785) op1(e13, e12) = all_0_213_213
% 27.12/7.00 |
% 27.12/7.00 | From (776) and (470) follows:
% 27.12/7.00 | (786) op1(e13, e13) = all_0_177_177
% 27.12/7.00 |
% 27.12/7.00 | From (776) and (173) follows:
% 27.12/7.00 | (787) op1(e12, e13) = all_0_214_214
% 27.12/7.00 |
% 27.12/7.00 | From (776) and (284) follows:
% 27.12/7.01 | (788) op1(e12, e13) = e13
% 27.12/7.01 |
% 27.12/7.01 | From (776) and (431) follows:
% 27.12/7.01 | (789) op1(e11, e13) = all_0_178_178
% 27.12/7.01 |
% 27.12/7.01 | From (776) and (158) follows:
% 27.12/7.01 | (790) op1(e10, e13) = all_0_179_179
% 27.12/7.01 |
% 27.12/7.01 +-Applying beta-rule and splitting (77), into two cases.
% 27.12/7.01 |-Branch one:
% 27.12/7.01 | (791) all_0_254_254 = e11
% 27.12/7.01 |
% 27.12/7.01 | Equations (791) can reduce 744 to:
% 27.12/7.01 | (537) $false
% 27.12/7.01 |
% 27.12/7.01 |-The branch is then unsatisfiable
% 27.12/7.01 |-Branch two:
% 27.12/7.01 | (744) ~ (all_0_254_254 = e11)
% 27.12/7.01 | (794) all_0_254_254 = e13 | all_0_254_254 = e12
% 27.12/7.01 |
% 27.12/7.01 +-Applying beta-rule and splitting (794), into two cases.
% 27.12/7.01 |-Branch one:
% 27.12/7.01 | (795) all_0_254_254 = e13
% 27.12/7.01 |
% 27.12/7.01 | Equations (795) can reduce 782 to:
% 27.12/7.01 | (537) $false
% 27.12/7.01 |
% 27.12/7.01 |-The branch is then unsatisfiable
% 27.12/7.01 |-Branch two:
% 27.12/7.01 | (782) ~ (all_0_254_254 = e13)
% 27.12/7.01 | (798) all_0_254_254 = e12
% 27.12/7.01 |
% 27.12/7.01 | Equations (798) can reduce 12 to:
% 27.12/7.01 | (799) ~ (all_0_255_255 = e12)
% 27.12/7.01 |
% 27.12/7.01 | Simplifying 799 yields:
% 27.12/7.01 | (800) ~ (all_0_255_255 = e12)
% 27.12/7.01 |
% 27.12/7.01 | Equations (798) can reduce 242 to:
% 27.12/7.01 | (801) ~ (all_0_257_257 = e12)
% 27.12/7.01 |
% 27.12/7.01 | Simplifying 801 yields:
% 27.12/7.01 | (384) ~ (all_0_257_257 = e12)
% 27.12/7.01 |
% 27.12/7.01 | Equations (798) can reduce 782 to:
% 27.12/7.01 | (803) ~ (e13 = e12)
% 27.12/7.01 |
% 27.12/7.01 | Simplifying 803 yields:
% 27.12/7.01 | (305) ~ (e13 = e12)
% 27.12/7.01 |
% 27.12/7.01 | Equations (798) can reduce 142 to:
% 27.12/7.01 | (8) ~ (e12 = e10)
% 27.12/7.01 |
% 27.12/7.01 | From (798) and (450) follows:
% 27.12/7.01 | (806) op1(e12, e13) = all_0_223_223
% 27.12/7.01 |
% 27.12/7.01 | From (798) and (301) follows:
% 27.12/7.01 | (807) op1(e12, e11) = all_0_224_224
% 27.12/7.01 |
% 27.12/7.01 | From (798) and (420) follows:
% 27.12/7.01 | (808) op1(e13, e12) = all_0_189_189
% 27.12/7.01 |
% 27.12/7.01 | From (798) and (104) follows:
% 27.12/7.01 | (809) op1(e12, e12) = all_0_190_190
% 27.12/7.01 |
% 27.12/7.01 | From (798) and (241) follows:
% 27.12/7.01 | (810) op1(e11, e13) = e12
% 27.12/7.01 |
% 27.12/7.01 | Instantiating formula (144) with e13, e13, all_0_177_177, e11 and discharging atoms op1(e13, e13) = all_0_177_177, op1(e13, e13) = e11, yields:
% 27.12/7.01 | (811) all_0_177_177 = e11
% 27.12/7.01 |
% 27.12/7.01 | Instantiating formula (144) with e13, e13, all_0_212_212, all_0_177_177 and discharging atoms op1(e13, e13) = all_0_177_177, op1(e13, e13) = all_0_212_212, yields:
% 27.12/7.01 | (812) all_0_177_177 = all_0_212_212
% 27.12/7.01 |
% 27.12/7.01 | Instantiating formula (144) with e13, e12, all_0_189_189, all_0_247_247 and discharging atoms op1(e13, e12) = all_0_189_189, op1(e13, e12) = all_0_247_247, yields:
% 27.12/7.01 | (813) all_0_189_189 = all_0_247_247
% 27.12/7.01 |
% 27.12/7.01 | Instantiating formula (144) with e13, e12, all_0_213_213, all_0_189_189 and discharging atoms op1(e13, e12) = all_0_189_189, op1(e13, e12) = all_0_213_213, yields:
% 27.12/7.01 | (814) all_0_189_189 = all_0_213_213
% 27.12/7.01 |
% 27.12/7.01 | Instantiating formula (144) with e12, e13, all_0_223_223, all_0_214_214 and discharging atoms op1(e12, e13) = all_0_214_214, op1(e12, e13) = all_0_223_223, yields:
% 27.12/7.01 | (815) all_0_214_214 = all_0_223_223
% 27.12/7.01 |
% 27.12/7.01 | Instantiating formula (144) with e12, e13, e13, all_0_214_214 and discharging atoms op1(e12, e13) = all_0_214_214, op1(e12, e13) = e13, yields:
% 27.12/7.01 | (816) all_0_214_214 = e13
% 27.12/7.01 |
% 27.12/7.01 | Instantiating formula (144) with e12, e12, all_0_190_190, all_0_251_251 and discharging atoms op1(e12, e12) = all_0_190_190, op1(e12, e12) = all_0_251_251, yields:
% 27.12/7.01 | (817) all_0_190_190 = all_0_251_251
% 27.12/7.01 |
% 27.12/7.01 | Instantiating formula (144) with e12, e11, all_0_224_224, all_0_252_252 and discharging atoms op1(e12, e11) = all_0_224_224, op1(e12, e11) = all_0_252_252, yields:
% 27.12/7.01 | (818) all_0_224_224 = all_0_252_252
% 27.12/7.01 |
% 27.12/7.01 | Instantiating formula (144) with e11, e13, e12, all_0_178_178 and discharging atoms op1(e11, e13) = all_0_178_178, op1(e11, e13) = e12, yields:
% 27.12/7.01 | (819) all_0_178_178 = e12
% 27.12/7.01 |
% 27.12/7.01 | Instantiating formula (144) with e10, e13, all_0_179_179, e10 and discharging atoms op1(e10, e13) = all_0_179_179, op1(e10, e13) = e10, yields:
% 27.12/7.01 | (820) all_0_179_179 = e10
% 27.12/7.01 |
% 27.12/7.01 | Combining equations (812,811) yields a new equation:
% 27.12/7.01 | (821) all_0_212_212 = e11
% 27.12/7.01 |
% 27.12/7.01 | Simplifying 821 yields:
% 27.12/7.01 | (822) all_0_212_212 = e11
% 27.12/7.01 |
% 27.12/7.01 | Combining equations (813,814) yields a new equation:
% 27.12/7.01 | (823) all_0_213_213 = all_0_247_247
% 27.12/7.01 |
% 27.12/7.01 | Combining equations (815,816) yields a new equation:
% 27.12/7.01 | (824) all_0_223_223 = e13
% 27.12/7.01 |
% 27.12/7.01 | Simplifying 824 yields:
% 27.12/7.01 | (825) all_0_223_223 = e13
% 27.12/7.01 |
% 27.12/7.01 | From (822) and (784) follows:
% 27.12/7.01 | (731) op1(e13, e13) = e11
% 27.12/7.01 |
% 27.12/7.01 | From (825) and (806) follows:
% 27.12/7.01 | (788) op1(e12, e13) = e13
% 27.12/7.01 |
% 27.12/7.01 | From (817) and (809) follows:
% 27.12/7.01 | (89) op1(e12, e12) = all_0_251_251
% 27.12/7.01 |
% 27.12/7.01 | From (819) and (789) follows:
% 27.12/7.01 | (810) op1(e11, e13) = e12
% 27.12/7.01 |
% 27.12/7.01 | From (820) and (790) follows:
% 27.12/7.01 | (272) op1(e10, e13) = e10
% 27.12/7.01 |
% 27.12/7.01 +-Applying beta-rule and splitting (251), into two cases.
% 27.12/7.01 |-Branch one:
% 27.12/7.01 | (795) all_0_254_254 = e13
% 27.12/7.01 |
% 27.12/7.01 | Combining equations (795,798) yields a new equation:
% 27.12/7.01 | (832) e13 = e12
% 27.12/7.01 |
% 27.12/7.01 | Simplifying 832 yields:
% 27.12/7.01 | (833) e13 = e12
% 27.12/7.01 |
% 27.12/7.01 | Equations (833) can reduce 305 to:
% 27.12/7.01 | (537) $false
% 27.12/7.01 |
% 27.12/7.01 |-The branch is then unsatisfiable
% 27.12/7.01 |-Branch two:
% 27.12/7.01 | (782) ~ (all_0_254_254 = e13)
% 27.12/7.01 | (836) all_0_255_255 = e13 | all_0_257_257 = e13
% 27.12/7.01 |
% 27.12/7.01 | Equations (798) can reduce 782 to:
% 27.12/7.01 | (803) ~ (e13 = e12)
% 27.12/7.01 |
% 27.12/7.01 | Simplifying 803 yields:
% 27.12/7.01 | (305) ~ (e13 = e12)
% 27.12/7.01 |
% 27.12/7.01 +-Applying beta-rule and splitting (237), into two cases.
% 27.12/7.01 |-Branch one:
% 27.12/7.01 | (839) all_0_255_255 = e13
% 27.12/7.01 |
% 27.12/7.01 | Combining equations (839,708) yields a new equation:
% 27.12/7.01 | (840) all_0_221_221 = e13
% 27.12/7.01 |
% 27.12/7.01 | Equations (839) can reduce 481 to:
% 27.12/7.01 | (778) ~ (all_0_251_251 = e13)
% 27.12/7.01 |
% 27.12/7.01 | Equations (839) can reduce 386 to:
% 27.12/7.01 | (842) ~ (all_0_257_257 = e13)
% 27.12/7.01 |
% 27.12/7.01 | Simplifying 842 yields:
% 27.12/7.01 | (843) ~ (all_0_257_257 = e13)
% 27.12/7.01 |
% 27.12/7.01 | Equations (839) can reduce 134 to:
% 27.12/7.01 | (446) ~ (e13 = e11)
% 27.12/7.01 |
% 27.12/7.01 | From (839) and (299) follows:
% 27.12/7.01 | (845) op1(e13, e11) = all_0_227_227
% 27.12/7.01 |
% 27.12/7.01 | From (839) and (87) follows:
% 27.12/7.01 | (846) op1(e13, e13) = all_0_192_192
% 27.12/7.01 |
% 27.12/7.01 | From (839) and (339) follows:
% 27.12/7.01 | (847) op1(e12, e13) = all_0_193_193
% 27.12/7.01 |
% 27.12/7.01 | From (839) and (166) follows:
% 27.12/7.01 | (848) op1(e11, e13) = all_0_228_228
% 27.12/7.01 |
% 27.12/7.01 | From (839) and (22) follows:
% 27.12/7.01 | (849) op1(e10, e13) = all_0_194_194
% 27.12/7.01 |
% 27.12/7.01 +-Applying beta-rule and splitting (124), into two cases.
% 27.12/7.01 |-Branch one:
% 27.12/7.01 | (850) all_0_249_249 = e13
% 27.12/7.01 |
% 27.12/7.01 | Equations (850) can reduce 343 to:
% 27.12/7.01 | (400) ~ (all_0_248_248 = e13)
% 27.12/7.01 |
% 27.12/7.01 | Equations (850) can reduce 61 to:
% 27.12/7.01 | (842) ~ (all_0_257_257 = e13)
% 27.12/7.01 |
% 27.12/7.01 | Simplifying 842 yields:
% 27.12/7.01 | (843) ~ (all_0_257_257 = e13)
% 27.12/7.01 |
% 27.12/7.01 | Equations (850) can reduce 78 to:
% 27.12/7.01 | (305) ~ (e13 = e12)
% 27.12/7.01 |
% 27.12/7.01 | Equations (850) can reduce 694 to:
% 27.12/7.01 | (446) ~ (e13 = e11)
% 27.12/7.01 |
% 27.12/7.01 | From (850) and (375) follows:
% 27.12/7.01 | (856) op1(e13, e13) = all_0_210_210
% 27.12/7.01 |
% 27.12/7.01 | From (850) and (209) follows:
% 27.12/7.01 | (857) op1(e13, e13) = all_0_211_211
% 27.12/7.01 |
% 27.12/7.01 | From (850) and (348) follows:
% 27.12/7.01 | (858) op1(e12, e13) = all_0_174_174
% 27.12/7.01 |
% 27.12/7.01 | From (850) and (316) follows:
% 27.12/7.01 | (859) op1(e11, e13) = all_0_175_175
% 27.12/7.01 |
% 27.12/7.01 | From (850) and (282) follows:
% 27.12/7.01 | (860) op1(e10, e13) = all_0_176_176
% 27.12/7.01 |
% 27.12/7.01 +-Applying beta-rule and splitting (45), into two cases.
% 27.12/7.01 |-Branch one:
% 27.12/7.01 | (861) all_0_249_249 = e10
% 27.12/7.01 |
% 27.12/7.01 | Combining equations (861,850) yields a new equation:
% 27.12/7.01 | (862) e13 = e10
% 27.12/7.01 |
% 27.12/7.01 | Equations (862) can reduce 210 to:
% 27.12/7.01 | (537) $false
% 27.12/7.01 |
% 27.12/7.01 |-The branch is then unsatisfiable
% 27.12/7.01 |-Branch two:
% 27.12/7.01 | (864) ~ (all_0_249_249 = e10)
% 27.12/7.01 | (865) all_0_253_253 = e10 | all_0_257_257 = e10
% 27.12/7.01 |
% 27.12/7.01 +-Applying beta-rule and splitting (865), into two cases.
% 27.12/7.01 |-Branch one:
% 27.12/7.01 | (866) all_0_253_253 = e10
% 27.12/7.01 |
% 27.12/7.01 | Combining equations (693,866) yields a new equation:
% 27.12/7.01 | (867) e11 = e10
% 27.12/7.01 |
% 27.12/7.01 | Simplifying 867 yields:
% 27.12/7.01 | (868) e11 = e10
% 27.12/7.01 |
% 27.12/7.01 | Equations (868) can reduce 293 to:
% 27.12/7.01 | (537) $false
% 27.12/7.01 |
% 27.12/7.01 |-The branch is then unsatisfiable
% 27.12/7.01 |-Branch two:
% 27.12/7.01 | (870) ~ (all_0_253_253 = e10)
% 27.12/7.01 | (871) all_0_257_257 = e10
% 27.12/7.01 |
% 27.12/7.01 | Equations (871) can reduce 843 to:
% 27.12/7.01 | (872) ~ (e13 = e10)
% 27.12/7.01 |
% 27.12/7.01 | Simplifying 872 yields:
% 27.12/7.01 | (210) ~ (e13 = e10)
% 27.12/7.01 |
% 27.12/7.01 | Equations (871) can reduce 384 to:
% 27.12/7.01 | (874) ~ (e12 = e10)
% 27.12/7.01 |
% 27.12/7.01 | Simplifying 874 yields:
% 27.12/7.01 | (8) ~ (e12 = e10)
% 27.12/7.01 |
% 27.12/7.01 | From (871) and (148) follows:
% 27.12/7.01 | (876) op1(e10, e11) = all_0_232_232
% 27.12/7.01 |
% 27.12/7.01 | From (871) and (121) follows:
% 27.12/7.01 | (877) op1(e12, e10) = all_0_199_199
% 27.12/7.01 |
% 27.12/7.01 | Instantiating formula (144) with e13, e13, all_0_210_210, e11 and discharging atoms op1(e13, e13) = all_0_210_210, op1(e13, e13) = e11, yields:
% 27.12/7.01 | (878) all_0_210_210 = e11
% 27.12/7.01 |
% 27.12/7.01 | Instantiating formula (144) with e13, e13, all_0_210_210, all_0_192_192 and discharging atoms op1(e13, e13) = all_0_192_192, op1(e13, e13) = all_0_210_210, yields:
% 27.12/7.01 | (879) all_0_192_192 = all_0_210_210
% 27.12/7.01 |
% 27.12/7.01 | Instantiating formula (144) with e13, e13, all_0_211_211, all_0_192_192 and discharging atoms op1(e13, e13) = all_0_192_192, op1(e13, e13) = all_0_211_211, yields:
% 27.12/7.01 | (880) all_0_192_192 = all_0_211_211
% 27.12/7.01 |
% 27.12/7.01 | Instantiating formula (144) with e13, e11, all_0_227_227, all_0_248_248 and discharging atoms op1(e13, e11) = all_0_227_227, op1(e13, e11) = all_0_248_248, yields:
% 27.12/7.01 | (881) all_0_227_227 = all_0_248_248
% 27.12/7.01 |
% 27.12/7.01 | Instantiating formula (144) with e12, e13, all_0_174_174, e13 and discharging atoms op1(e12, e13) = all_0_174_174, op1(e12, e13) = e13, yields:
% 27.12/7.01 | (882) all_0_174_174 = e13
% 27.12/7.01 |
% 27.12/7.01 | Instantiating formula (144) with e12, e13, all_0_193_193, all_0_174_174 and discharging atoms op1(e12, e13) = all_0_174_174, op1(e12, e13) = all_0_193_193, yields:
% 27.12/7.01 | (883) all_0_174_174 = all_0_193_193
% 27.12/7.01 |
% 27.12/7.01 | Instantiating formula (144) with e12, e10, all_0_199_199, e11 and discharging atoms op1(e12, e10) = all_0_199_199, op1(e12, e10) = e11, yields:
% 27.12/7.02 | (884) all_0_199_199 = e11
% 27.12/7.02 |
% 27.12/7.02 | Instantiating formula (144) with e11, e13, all_0_175_175, e12 and discharging atoms op1(e11, e13) = all_0_175_175, op1(e11, e13) = e12, yields:
% 27.12/7.02 | (885) all_0_175_175 = e12
% 27.12/7.02 |
% 27.12/7.02 | Instantiating formula (144) with e11, e13, all_0_228_228, all_0_175_175 and discharging atoms op1(e11, e13) = all_0_175_175, op1(e11, e13) = all_0_228_228, yields:
% 27.12/7.02 | (886) all_0_175_175 = all_0_228_228
% 27.12/7.02 |
% 27.12/7.02 | Instantiating formula (144) with e10, e13, all_0_176_176, e10 and discharging atoms op1(e10, e13) = all_0_176_176, op1(e10, e13) = e10, yields:
% 27.12/7.02 | (887) all_0_176_176 = e10
% 27.12/7.02 |
% 27.12/7.02 | Instantiating formula (144) with e10, e13, all_0_194_194, all_0_176_176 and discharging atoms op1(e10, e13) = all_0_176_176, op1(e10, e13) = all_0_194_194, yields:
% 27.12/7.02 | (888) all_0_176_176 = all_0_194_194
% 27.12/7.02 |
% 27.12/7.02 | Instantiating formula (144) with e10, e11, all_0_232_232, e13 and discharging atoms op1(e10, e11) = all_0_232_232, op1(e10, e11) = e13, yields:
% 27.12/7.02 | (889) all_0_232_232 = e13
% 27.12/7.02 |
% 27.12/7.02 | Combining equations (883,882) yields a new equation:
% 27.12/7.02 | (890) all_0_193_193 = e13
% 27.12/7.02 |
% 27.12/7.02 | Simplifying 890 yields:
% 27.12/7.02 | (891) all_0_193_193 = e13
% 27.12/7.02 |
% 27.12/7.02 | Combining equations (886,885) yields a new equation:
% 27.12/7.02 | (892) all_0_228_228 = e12
% 27.12/7.02 |
% 27.12/7.02 | Simplifying 892 yields:
% 27.12/7.02 | (893) all_0_228_228 = e12
% 27.12/7.02 |
% 27.12/7.02 | Combining equations (887,888) yields a new equation:
% 27.12/7.02 | (894) all_0_194_194 = e10
% 27.12/7.02 |
% 27.12/7.02 | Combining equations (879,880) yields a new equation:
% 27.12/7.02 | (895) all_0_210_210 = all_0_211_211
% 27.12/7.02 |
% 27.12/7.02 | Simplifying 895 yields:
% 27.12/7.02 | (896) all_0_210_210 = all_0_211_211
% 27.12/7.02 |
% 27.12/7.02 | Combining equations (878,896) yields a new equation:
% 27.12/7.02 | (897) all_0_211_211 = e11
% 27.12/7.02 |
% 27.12/7.02 | Combining equations (897,896) yields a new equation:
% 27.12/7.02 | (878) all_0_210_210 = e11
% 27.12/7.02 |
% 27.12/7.02 | From (891) and (847) follows:
% 27.12/7.02 | (788) op1(e12, e13) = e13
% 27.12/7.02 |
% 27.12/7.02 | From (884) and (877) follows:
% 27.12/7.02 | (703) op1(e12, e10) = e11
% 27.12/7.02 |
% 27.12/7.02 | From (894) and (849) follows:
% 27.12/7.02 | (272) op1(e10, e13) = e10
% 27.12/7.02 |
% 27.12/7.02 +-Applying beta-rule and splitting (454), into two cases.
% 27.12/7.02 |-Branch one:
% 27.12/7.02 | (902) all_0_247_247 = e10
% 27.12/7.02 |
% 27.12/7.02 | Combining equations (902,823) yields a new equation:
% 27.12/7.02 | (903) all_0_213_213 = e10
% 27.12/7.02 |
% 27.12/7.02 | Equations (902) can reduce 271 to:
% 27.12/7.02 | (904) ~ (all_0_248_248 = e10)
% 27.12/7.02 |
% 27.12/7.02 | Simplifying 904 yields:
% 27.12/7.02 | (905) ~ (all_0_248_248 = e10)
% 27.12/7.02 |
% 27.12/7.02 | Equations (902) can reduce 101 to:
% 27.12/7.02 | (906) ~ (e11 = e10)
% 27.12/7.02 |
% 27.12/7.02 | Simplifying 906 yields:
% 27.12/7.02 | (293) ~ (e11 = e10)
% 27.12/7.02 |
% 27.12/7.02 | From (902) and (289) follows:
% 27.12/7.02 | (908) op1(e10, e13) = all_0_204_204
% 27.12/7.02 |
% 27.12/7.02 | From (902) and (117) follows:
% 27.12/7.02 | (909) op1(e12, e10) = all_0_168_168
% 27.12/7.02 |
% 27.12/7.02 +-Applying beta-rule and splitting (409), into two cases.
% 27.12/7.02 |-Branch one:
% 27.12/7.02 | (910) all_0_248_248 = e10
% 27.12/7.02 |
% 27.12/7.02 | Equations (910) can reduce 905 to:
% 27.12/7.02 | (537) $false
% 27.12/7.02 |
% 27.12/7.02 |-The branch is then unsatisfiable
% 27.12/7.02 |-Branch two:
% 27.12/7.02 | (905) ~ (all_0_248_248 = e10)
% 27.12/7.02 | (913) all_0_252_252 = e10 | all_0_256_256 = e10
% 27.12/7.02 |
% 27.12/7.02 +-Applying beta-rule and splitting (395), into two cases.
% 27.12/7.02 |-Branch one:
% 27.12/7.02 | (734) all_0_248_248 = e11
% 27.12/7.02 |
% 27.12/7.02 | Equations (734) can reduce 724 to:
% 27.12/7.02 | (537) $false
% 27.12/7.02 |
% 27.12/7.02 |-The branch is then unsatisfiable
% 27.12/7.02 |-Branch two:
% 27.12/7.02 | (724) ~ (all_0_248_248 = e11)
% 27.12/7.02 | (917) all_0_248_248 = e12 | all_0_248_248 = e10
% 27.12/7.02 |
% 27.12/7.02 +-Applying beta-rule and splitting (913), into two cases.
% 27.12/7.02 |-Branch one:
% 27.12/7.02 | (918) all_0_252_252 = e10
% 27.12/7.02 |
% 27.12/7.02 | Combining equations (918,818) yields a new equation:
% 27.12/7.02 | (919) all_0_224_224 = e10
% 27.12/7.02 |
% 27.12/7.02 | Equations (918) can reduce 153 to:
% 27.12/7.02 | (905) ~ (all_0_248_248 = e10)
% 27.12/7.02 |
% 27.12/7.02 | Equations (918) can reduce 458 to:
% 27.12/7.02 | (921) ~ (all_0_251_251 = e10)
% 27.12/7.02 |
% 27.12/7.02 | Equations (918) can reduce 295 to:
% 27.12/7.02 | (872) ~ (e13 = e10)
% 27.12/7.02 |
% 27.12/7.02 | Simplifying 872 yields:
% 27.12/7.02 | (210) ~ (e13 = e10)
% 27.12/7.02 |
% 27.12/7.02 | Equations (918) can reduce 697 to:
% 27.12/7.02 | (906) ~ (e11 = e10)
% 27.12/7.02 |
% 27.12/7.02 | Simplifying 906 yields:
% 27.12/7.02 | (293) ~ (e11 = e10)
% 27.12/7.02 |
% 27.12/7.02 | From (918) and (435) follows:
% 27.12/7.02 | (926) op1(e12, e10) = all_0_219_219
% 27.12/7.02 |
% 27.12/7.02 +-Applying beta-rule and splitting (433), into two cases.
% 27.12/7.02 |-Branch one:
% 27.12/7.02 | (927) all_0_248_248 = e12
% 27.12/7.02 |
% 27.12/7.02 | From (927) and (410) follows:
% 27.12/7.02 | (928) op1(e12, e13) = all_0_207_207
% 27.12/7.02 |
% 27.12/7.02 +-Applying beta-rule and splitting (180), into two cases.
% 27.12/7.02 |-Branch one:
% 27.12/7.02 | (929) all_0_251_251 = e13
% 27.12/7.02 |
% 27.12/7.02 | Equations (929) can reduce 778 to:
% 27.12/7.02 | (537) $false
% 27.12/7.02 |
% 27.12/7.02 |-The branch is then unsatisfiable
% 27.12/7.02 |-Branch two:
% 27.12/7.02 | (778) ~ (all_0_251_251 = e13)
% 27.12/7.02 | (932) all_0_251_251 = e12 | all_0_251_251 = e10
% 27.12/7.02 |
% 27.12/7.02 +-Applying beta-rule and splitting (932), into two cases.
% 27.12/7.02 |-Branch one:
% 27.12/7.02 | (933) all_0_251_251 = e12
% 27.12/7.02 |
% 27.12/7.02 | Equations (933) can reduce 921 to:
% 27.12/7.02 | (8) ~ (e12 = e10)
% 27.12/7.02 |
% 27.12/7.02 | Instantiating formula (144) with e12, e13, all_0_207_207, e13 and discharging atoms op1(e12, e13) = all_0_207_207, op1(e12, e13) = e13, yields:
% 27.12/7.02 | (935) all_0_207_207 = e13
% 27.12/7.02 |
% 27.12/7.02 | Instantiating formula (144) with e12, e10, all_0_168_168, e11 and discharging atoms op1(e12, e10) = all_0_168_168, op1(e12, e10) = e11, yields:
% 27.12/7.02 | (936) all_0_168_168 = e11
% 27.12/7.02 |
% 27.12/7.02 | Instantiating formula (144) with e12, e10, all_0_219_219, all_0_168_168 and discharging atoms op1(e12, e10) = all_0_168_168, op1(e12, e10) = all_0_219_219, yields:
% 27.12/7.02 | (937) all_0_168_168 = all_0_219_219
% 27.12/7.02 |
% 27.12/7.02 | Instantiating formula (144) with e10, e13, all_0_204_204, e10 and discharging atoms op1(e10, e13) = all_0_204_204, op1(e10, e13) = e10, yields:
% 27.12/7.02 | (938) all_0_204_204 = e10
% 27.12/7.02 |
% 27.12/7.02 | Combining equations (936,937) yields a new equation:
% 27.12/7.02 | (939) all_0_219_219 = e11
% 27.12/7.02 |
% 27.12/7.02 +-Applying beta-rule and splitting (257), into two cases.
% 27.12/7.02 |-Branch one:
% 27.12/7.02 | (940) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)) | (all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10))
% 27.12/7.02 |
% 27.12/7.02 +-Applying beta-rule and splitting (940), into two cases.
% 27.12/7.02 |-Branch one:
% 27.12/7.02 | (941) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12))
% 27.12/7.02 |
% 27.12/7.02 +-Applying beta-rule and splitting (941), into two cases.
% 27.12/7.02 |-Branch one:
% 27.12/7.02 | (942) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13))
% 27.12/7.02 |
% 27.12/7.02 +-Applying beta-rule and splitting (942), into two cases.
% 27.12/7.02 |-Branch one:
% 27.12/7.02 | (943) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10))
% 27.12/7.02 |
% 27.12/7.02 +-Applying beta-rule and splitting (943), into two cases.
% 27.12/7.02 |-Branch one:
% 27.12/7.02 | (944) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11))
% 27.12/7.02 |
% 27.12/7.02 +-Applying beta-rule and splitting (944), into two cases.
% 27.12/7.02 |-Branch one:
% 27.12/7.02 | (945) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13))
% 27.12/7.02 |
% 27.12/7.02 +-Applying beta-rule and splitting (945), into two cases.
% 27.12/7.02 |-Branch one:
% 27.12/7.02 | (946) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10))
% 27.12/7.02 |
% 27.12/7.02 +-Applying beta-rule and splitting (946), into two cases.
% 27.12/7.02 |-Branch one:
% 27.12/7.02 | (947) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11))
% 27.12/7.02 |
% 27.12/7.02 +-Applying beta-rule and splitting (947), into two cases.
% 27.12/7.02 |-Branch one:
% 27.12/7.02 | (948) all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)
% 27.12/7.02 |
% 27.12/7.02 | Applying alpha-rule on (948) yields:
% 27.12/7.02 | (949) all_0_204_204 = e12
% 27.12/7.02 | (950) ~ (all_0_203_203 = e13)
% 27.12/7.02 | (951) ~ (all_0_205_205 = e12)
% 27.12/7.02 |
% 27.12/7.02 | Combining equations (938,949) yields a new equation:
% 27.12/7.02 | (952) e12 = e10
% 27.12/7.02 |
% 27.12/7.02 | Equations (952) can reduce 8 to:
% 27.12/7.02 | (537) $false
% 27.12/7.02 |
% 27.12/7.02 |-The branch is then unsatisfiable
% 27.12/7.02 |-Branch two:
% 27.12/7.02 | (954) all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)
% 27.12/7.02 |
% 27.12/7.02 | Applying alpha-rule on (954) yields:
% 27.12/7.02 | (955) all_0_207_207 = e11
% 27.12/7.02 | (956) ~ (all_0_206_206 = e13)
% 27.12/7.02 | (957) ~ (all_0_208_208 = e11)
% 27.12/7.02 |
% 27.12/7.02 | Combining equations (935,955) yields a new equation:
% 27.12/7.02 | (958) e13 = e11
% 27.12/7.02 |
% 27.12/7.02 | Simplifying 958 yields:
% 27.12/7.02 | (959) e13 = e11
% 27.12/7.02 |
% 27.12/7.02 | Equations (959) can reduce 446 to:
% 27.12/7.02 | (537) $false
% 27.12/7.02 |
% 27.12/7.02 |-The branch is then unsatisfiable
% 27.12/7.02 |-Branch two:
% 27.12/7.02 | (961) all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)
% 27.12/7.02 |
% 27.12/7.02 | Applying alpha-rule on (961) yields:
% 27.12/7.02 | (962) all_0_210_210 = e10
% 27.12/7.02 | (963) ~ (all_0_209_209 = e13)
% 27.12/7.02 | (964) ~ (all_0_211_211 = e10)
% 27.12/7.02 |
% 27.12/7.02 | Combining equations (878,962) yields a new equation:
% 27.12/7.02 | (867) e11 = e10
% 27.12/7.02 |
% 27.12/7.02 | Simplifying 867 yields:
% 27.12/7.02 | (868) e11 = e10
% 27.12/7.02 |
% 27.12/7.02 | Equations (868) can reduce 293 to:
% 27.12/7.02 | (537) $false
% 27.12/7.02 |
% 27.12/7.02 |-The branch is then unsatisfiable
% 27.12/7.02 |-Branch two:
% 27.12/7.02 | (968) all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)
% 27.12/7.02 |
% 27.12/7.02 | Applying alpha-rule on (968) yields:
% 27.12/7.02 | (969) all_0_213_213 = e13
% 27.12/7.03 | (970) ~ (all_0_212_212 = e12)
% 27.12/7.03 | (971) ~ (all_0_214_214 = e13)
% 27.12/7.03 |
% 27.12/7.03 | Combining equations (903,969) yields a new equation:
% 27.12/7.03 | (862) e13 = e10
% 27.12/7.03 |
% 27.12/7.03 | Equations (862) can reduce 210 to:
% 27.12/7.03 | (537) $false
% 27.12/7.03 |
% 27.12/7.03 |-The branch is then unsatisfiable
% 27.12/7.03 |-Branch two:
% 27.12/7.03 | (974) all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)
% 27.12/7.03 |
% 27.12/7.03 | Applying alpha-rule on (974) yields:
% 27.12/7.03 | (975) all_0_218_218 = e11
% 27.12/7.03 | (976) ~ (all_0_217_217 = e12)
% 27.12/7.03 | (977) ~ (all_0_219_219 = e11)
% 27.12/7.03 |
% 27.12/7.03 | Equations (939) can reduce 977 to:
% 27.12/7.03 | (537) $false
% 27.12/7.03 |
% 27.12/7.03 |-The branch is then unsatisfiable
% 27.12/7.03 |-Branch two:
% 27.12/7.03 | (979) all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)
% 27.12/7.03 |
% 27.12/7.03 | Applying alpha-rule on (979) yields:
% 27.12/7.03 | (980) all_0_221_221 = e10
% 27.12/7.03 | (981) ~ (all_0_220_220 = e12)
% 27.12/7.03 | (982) ~ (all_0_222_222 = e10)
% 27.12/7.03 |
% 27.12/7.03 | Combining equations (840,980) yields a new equation:
% 27.12/7.03 | (983) e13 = e10
% 27.12/7.03 |
% 27.12/7.03 | Simplifying 983 yields:
% 27.12/7.03 | (862) e13 = e10
% 27.12/7.03 |
% 27.12/7.03 | Equations (862) can reduce 210 to:
% 27.12/7.03 | (537) $false
% 27.12/7.03 |
% 27.12/7.03 |-The branch is then unsatisfiable
% 27.12/7.03 |-Branch two:
% 27.12/7.03 | (986) all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)
% 27.12/7.03 |
% 27.12/7.03 | Applying alpha-rule on (986) yields:
% 27.12/7.03 | (987) all_0_224_224 = e13
% 27.12/7.03 | (988) ~ (all_0_223_223 = e11)
% 27.12/7.03 | (989) ~ (all_0_225_225 = e13)
% 27.12/7.03 |
% 27.12/7.03 | Combining equations (919,987) yields a new equation:
% 27.12/7.03 | (862) e13 = e10
% 27.12/7.03 |
% 27.12/7.03 | Equations (862) can reduce 210 to:
% 27.12/7.03 | (537) $false
% 27.12/7.03 |
% 27.12/7.03 |-The branch is then unsatisfiable
% 27.12/7.03 |-Branch two:
% 27.12/7.03 | (992) all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)
% 27.12/7.03 |
% 27.12/7.03 | Applying alpha-rule on (992) yields:
% 27.12/7.03 | (993) all_0_227_227 = e12
% 27.12/7.03 | (994) ~ (all_0_226_226 = e11)
% 27.12/7.03 | (995) ~ (all_0_228_228 = e12)
% 27.12/7.03 |
% 27.12/7.03 | Equations (893) can reduce 995 to:
% 27.12/7.03 | (537) $false
% 27.12/7.03 |
% 27.12/7.03 |-The branch is then unsatisfiable
% 27.12/7.03 |-Branch two:
% 27.12/7.03 | (997) all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10)
% 27.12/7.03 |
% 27.12/7.03 | Applying alpha-rule on (997) yields:
% 27.12/7.03 | (998) all_0_232_232 = e10
% 27.12/7.03 | (999) ~ (all_0_231_231 = e11)
% 27.12/7.03 | (1000) ~ (all_0_233_233 = e10)
% 27.12/7.03 |
% 27.12/7.03 | Combining equations (889,998) yields a new equation:
% 27.12/7.03 | (983) e13 = e10
% 27.12/7.03 |
% 27.12/7.03 | Simplifying 983 yields:
% 27.12/7.03 | (862) e13 = e10
% 27.12/7.03 |
% 27.12/7.03 | Equations (862) can reduce 210 to:
% 27.12/7.03 | (537) $false
% 27.12/7.03 |
% 27.12/7.03 |-The branch is then unsatisfiable
% 27.12/7.03 |-Branch two:
% 27.12/7.03 | (1004) all_0_249_249 = e11 & ~ (all_0_248_248 = e10)
% 27.12/7.03 |
% 27.12/7.03 | Applying alpha-rule on (1004) yields:
% 27.12/7.03 | (1005) all_0_249_249 = e11
% 27.12/7.03 | (905) ~ (all_0_248_248 = e10)
% 27.12/7.03 |
% 27.12/7.03 | Combining equations (850,1005) yields a new equation:
% 27.12/7.03 | (958) e13 = e11
% 27.12/7.03 |
% 27.12/7.03 | Simplifying 958 yields:
% 27.12/7.03 | (959) e13 = e11
% 27.12/7.03 |
% 27.12/7.03 | Equations (959) can reduce 446 to:
% 27.12/7.03 | (537) $false
% 27.12/7.03 |
% 27.12/7.03 |-The branch is then unsatisfiable
% 27.12/7.03 |-Branch two:
% 27.12/7.03 | (1010) ~ (all_0_251_251 = e12)
% 27.12/7.03 | (1011) all_0_251_251 = e10
% 27.12/7.03 |
% 27.12/7.03 | Equations (1011) can reduce 921 to:
% 27.12/7.03 | (537) $false
% 27.12/7.03 |
% 27.12/7.03 |-The branch is then unsatisfiable
% 27.12/7.03 |-Branch two:
% 27.12/7.03 | (1013) ~ (all_0_248_248 = e12)
% 27.12/7.03 | (1014) all_0_252_252 = e12 | all_0_256_256 = e12
% 27.12/7.03 |
% 27.12/7.03 +-Applying beta-rule and splitting (917), into two cases.
% 27.12/7.03 |-Branch one:
% 27.12/7.03 | (927) all_0_248_248 = e12
% 27.12/7.03 |
% 27.12/7.03 | Equations (927) can reduce 1013 to:
% 27.12/7.03 | (537) $false
% 27.12/7.03 |
% 27.12/7.03 |-The branch is then unsatisfiable
% 27.12/7.03 |-Branch two:
% 27.12/7.03 | (1013) ~ (all_0_248_248 = e12)
% 27.12/7.03 | (910) all_0_248_248 = e10
% 27.12/7.03 |
% 27.12/7.03 | Equations (910) can reduce 905 to:
% 27.12/7.03 | (537) $false
% 27.12/7.03 |
% 27.12/7.03 |-The branch is then unsatisfiable
% 27.12/7.03 |-Branch two:
% 27.12/7.03 | (1020) ~ (all_0_252_252 = e10)
% 27.12/7.03 | (1021) all_0_256_256 = e10
% 27.12/7.03 |
% 27.12/7.03 | Combining equations (741,1021) yields a new equation:
% 27.12/7.03 | (867) e11 = e10
% 27.12/7.03 |
% 27.12/7.03 | Simplifying 867 yields:
% 27.12/7.03 | (868) e11 = e10
% 27.12/7.03 |
% 27.12/7.03 | Equations (868) can reduce 293 to:
% 27.12/7.03 | (537) $false
% 27.12/7.03 |
% 27.12/7.03 |-The branch is then unsatisfiable
% 27.12/7.03 |-Branch two:
% 27.12/7.03 | (1025) ~ (all_0_247_247 = e10)
% 27.12/7.03 | (1026) all_0_251_251 = e10 | all_0_255_255 = e10
% 27.12/7.03 |
% 27.12/7.03 +-Applying beta-rule and splitting (398), into two cases.
% 27.12/7.03 |-Branch one:
% 27.12/7.03 | (902) all_0_247_247 = e10
% 27.12/7.03 |
% 27.12/7.03 | Equations (902) can reduce 1025 to:
% 27.12/7.03 | (537) $false
% 27.12/7.03 |
% 27.12/7.03 |-The branch is then unsatisfiable
% 27.12/7.03 |-Branch two:
% 27.12/7.03 | (1025) ~ (all_0_247_247 = e10)
% 27.12/7.03 | (1030) all_0_248_248 = e10 | all_0_249_249 = e10
% 27.12/7.03 |
% 27.12/7.03 +-Applying beta-rule and splitting (1026), into two cases.
% 27.12/7.03 |-Branch one:
% 27.12/7.03 | (1011) all_0_251_251 = e10
% 27.12/7.03 |
% 27.12/7.03 | Equations (1011) can reduce 778 to:
% 27.12/7.03 | (872) ~ (e13 = e10)
% 27.12/7.03 |
% 27.12/7.03 | Simplifying 872 yields:
% 27.12/7.03 | (210) ~ (e13 = e10)
% 27.12/7.03 |
% 27.12/7.03 | From (1011) and (89) follows:
% 27.12/7.03 | (1034) op1(e12, e12) = e10
% 27.12/7.03 |
% 27.12/7.03 +-Applying beta-rule and splitting (1030), into two cases.
% 27.12/7.03 |-Branch one:
% 27.12/7.03 | (910) all_0_248_248 = e10
% 27.12/7.03 |
% 27.12/7.03 | Combining equations (910,881) yields a new equation:
% 27.12/7.03 | (1036) all_0_227_227 = e10
% 27.12/7.03 |
% 27.12/7.03 | Equations (910) can reduce 153 to:
% 27.12/7.03 | (1037) ~ (all_0_252_252 = e10)
% 27.12/7.03 |
% 27.12/7.03 | Simplifying 1037 yields:
% 27.12/7.03 | (1020) ~ (all_0_252_252 = e10)
% 27.12/7.03 |
% 27.12/7.03 | Equations (910) can reduce 400 to:
% 27.12/7.03 | (872) ~ (e13 = e10)
% 27.12/7.03 |
% 27.12/7.03 | Simplifying 872 yields:
% 27.12/7.03 | (210) ~ (e13 = e10)
% 27.12/7.03 |
% 27.12/7.03 | Equations (910) can reduce 724 to:
% 27.12/7.03 | (906) ~ (e11 = e10)
% 27.12/7.03 |
% 27.12/7.03 | Simplifying 906 yields:
% 27.12/7.03 | (293) ~ (e11 = e10)
% 27.12/7.03 |
% 27.12/7.03 | From (910) and (410) follows:
% 27.12/7.03 | (1043) op1(e10, e13) = all_0_207_207
% 27.12/7.03 |
% 27.12/7.03 +-Applying beta-rule and splitting (433), into two cases.
% 27.12/7.03 |-Branch one:
% 27.12/7.03 | (927) all_0_248_248 = e12
% 27.12/7.03 |
% 27.12/7.03 | Combining equations (910,927) yields a new equation:
% 27.12/7.03 | (952) e12 = e10
% 27.12/7.03 |
% 27.12/7.03 | Equations (952) can reduce 8 to:
% 27.12/7.03 | (537) $false
% 27.12/7.03 |
% 27.12/7.03 |-The branch is then unsatisfiable
% 27.12/7.03 |-Branch two:
% 27.12/7.03 | (1013) ~ (all_0_248_248 = e12)
% 27.12/7.03 | (1014) all_0_252_252 = e12 | all_0_256_256 = e12
% 27.12/7.03 |
% 27.12/7.03 | Equations (910) can reduce 1013 to:
% 27.12/7.03 | (874) ~ (e12 = e10)
% 27.12/7.03 |
% 27.12/7.03 | Simplifying 874 yields:
% 27.12/7.03 | (8) ~ (e12 = e10)
% 27.12/7.03 |
% 27.12/7.03 +-Applying beta-rule and splitting (58), into two cases.
% 27.12/7.03 |-Branch one:
% 27.12/7.03 | (1051) all_0_247_247 = e12
% 27.12/7.03 |
% 27.12/7.03 | Combining equations (1051,823) yields a new equation:
% 27.12/7.03 | (1052) all_0_213_213 = e12
% 27.12/7.03 |
% 27.12/7.03 | From (1051) and (289) follows:
% 27.12/7.03 | (1053) op1(e12, e13) = all_0_204_204
% 27.12/7.03 |
% 27.12/7.03 | From (1051) and (230) follows:
% 27.12/7.03 | (1054) op1(e12, e12) = all_0_203_203
% 27.12/7.03 |
% 27.12/7.03 | From (1051) and (117) follows:
% 27.12/7.03 | (1055) op1(e12, e12) = all_0_168_168
% 27.12/7.03 |
% 27.12/7.03 +-Applying beta-rule and splitting (769), into two cases.
% 27.12/7.03 |-Branch one:
% 27.12/7.03 | (1056) all_0_252_252 = e12
% 27.12/7.03 |
% 27.12/7.03 | Combining equations (1056,818) yields a new equation:
% 27.12/7.03 | (1057) all_0_224_224 = e12
% 27.12/7.03 |
% 27.12/7.03 | Equations (1056) can reduce 295 to:
% 27.12/7.03 | (803) ~ (e13 = e12)
% 27.12/7.03 |
% 27.12/7.03 | Simplifying 803 yields:
% 27.12/7.03 | (305) ~ (e13 = e12)
% 27.12/7.03 |
% 27.12/7.03 | Equations (1056) can reduce 1020 to:
% 27.12/7.03 | (8) ~ (e12 = e10)
% 27.12/7.03 |
% 27.12/7.03 | From (1056) and (190) follows:
% 27.12/7.03 | (1061) op1(e12, e12) = all_0_218_218
% 27.12/7.03 |
% 27.12/7.03 | From (1056) and (435) follows:
% 27.12/7.03 | (1062) op1(e12, e12) = all_0_219_219
% 27.12/7.03 |
% 27.12/7.03 | Instantiating formula (144) with e12, e13, all_0_204_204, e13 and discharging atoms op1(e12, e13) = all_0_204_204, op1(e12, e13) = e13, yields:
% 27.12/7.03 | (1063) all_0_204_204 = e13
% 27.12/7.03 |
% 27.12/7.03 | Instantiating formula (144) with e12, e12, all_0_203_203, all_0_168_168 and discharging atoms op1(e12, e12) = all_0_168_168, op1(e12, e12) = all_0_203_203, yields:
% 27.12/7.03 | (1064) all_0_168_168 = all_0_203_203
% 27.12/7.03 |
% 27.12/7.03 | Instantiating formula (144) with e12, e12, all_0_218_218, all_0_203_203 and discharging atoms op1(e12, e12) = all_0_203_203, op1(e12, e12) = all_0_218_218, yields:
% 27.12/7.03 | (1065) all_0_203_203 = all_0_218_218
% 27.12/7.03 |
% 27.12/7.03 | Instantiating formula (144) with e12, e12, all_0_219_219, all_0_168_168 and discharging atoms op1(e12, e12) = all_0_168_168, op1(e12, e12) = all_0_219_219, yields:
% 27.12/7.03 | (937) all_0_168_168 = all_0_219_219
% 27.12/7.03 |
% 27.12/7.03 | Instantiating formula (144) with e12, e12, e10, all_0_218_218 and discharging atoms op1(e12, e12) = all_0_218_218, op1(e12, e12) = e10, yields:
% 27.12/7.03 | (1067) all_0_218_218 = e10
% 27.12/7.03 |
% 27.12/7.03 | Instantiating formula (144) with e10, e13, all_0_207_207, e10 and discharging atoms op1(e10, e13) = all_0_207_207, op1(e10, e13) = e10, yields:
% 27.12/7.03 | (1068) all_0_207_207 = e10
% 27.12/7.03 |
% 27.12/7.03 | Combining equations (1064,937) yields a new equation:
% 27.12/7.03 | (1069) all_0_203_203 = all_0_219_219
% 27.12/7.03 |
% 27.12/7.03 | Simplifying 1069 yields:
% 27.12/7.03 | (1070) all_0_203_203 = all_0_219_219
% 27.12/7.03 |
% 27.12/7.03 | Combining equations (1065,1070) yields a new equation:
% 27.12/7.03 | (1071) all_0_218_218 = all_0_219_219
% 27.12/7.03 |
% 27.12/7.03 | Simplifying 1071 yields:
% 27.12/7.03 | (1072) all_0_218_218 = all_0_219_219
% 27.12/7.03 |
% 27.12/7.03 | Combining equations (1067,1072) yields a new equation:
% 27.12/7.03 | (1073) all_0_219_219 = e10
% 27.12/7.03 |
% 27.12/7.03 | Combining equations (1073,1072) yields a new equation:
% 27.12/7.03 | (1067) all_0_218_218 = e10
% 27.12/7.03 |
% 27.12/7.03 +-Applying beta-rule and splitting (257), into two cases.
% 27.12/7.03 |-Branch one:
% 27.12/7.03 | (940) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)) | (all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10))
% 27.12/7.04 |
% 27.12/7.04 +-Applying beta-rule and splitting (940), into two cases.
% 27.12/7.04 |-Branch one:
% 27.12/7.04 | (941) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12))
% 27.12/7.04 |
% 27.12/7.04 +-Applying beta-rule and splitting (941), into two cases.
% 27.12/7.04 |-Branch one:
% 27.12/7.04 | (942) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13))
% 27.12/7.04 |
% 27.12/7.04 +-Applying beta-rule and splitting (942), into two cases.
% 27.12/7.04 |-Branch one:
% 27.12/7.04 | (943) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10))
% 27.12/7.04 |
% 27.12/7.04 +-Applying beta-rule and splitting (943), into two cases.
% 27.12/7.04 |-Branch one:
% 27.12/7.04 | (944) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11))
% 27.12/7.04 |
% 27.12/7.04 +-Applying beta-rule and splitting (944), into two cases.
% 27.12/7.04 |-Branch one:
% 27.12/7.04 | (945) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13))
% 27.12/7.04 |
% 27.12/7.04 +-Applying beta-rule and splitting (945), into two cases.
% 27.12/7.04 |-Branch one:
% 27.12/7.04 | (946) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10))
% 27.12/7.04 |
% 27.12/7.04 +-Applying beta-rule and splitting (946), into two cases.
% 27.12/7.04 |-Branch one:
% 27.12/7.04 | (947) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11))
% 27.12/7.04 |
% 27.12/7.04 +-Applying beta-rule and splitting (947), into two cases.
% 27.12/7.04 |-Branch one:
% 27.12/7.04 | (948) all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)
% 27.12/7.04 |
% 27.12/7.04 | Applying alpha-rule on (948) yields:
% 27.12/7.04 | (949) all_0_204_204 = e12
% 27.12/7.04 | (950) ~ (all_0_203_203 = e13)
% 27.12/7.04 | (951) ~ (all_0_205_205 = e12)
% 27.12/7.04 |
% 27.12/7.04 | Combining equations (1063,949) yields a new equation:
% 27.12/7.04 | (832) e13 = e12
% 27.12/7.04 |
% 27.12/7.04 | Simplifying 832 yields:
% 27.12/7.04 | (833) e13 = e12
% 27.12/7.04 |
% 27.12/7.04 | Equations (833) can reduce 305 to:
% 27.12/7.04 | (537) $false
% 27.12/7.04 |
% 27.12/7.04 |-The branch is then unsatisfiable
% 27.12/7.04 |-Branch two:
% 27.12/7.04 | (954) all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)
% 27.12/7.04 |
% 27.12/7.04 | Applying alpha-rule on (954) yields:
% 27.12/7.04 | (955) all_0_207_207 = e11
% 27.12/7.04 | (956) ~ (all_0_206_206 = e13)
% 27.12/7.04 | (957) ~ (all_0_208_208 = e11)
% 27.12/7.04 |
% 27.12/7.04 | Combining equations (1068,955) yields a new equation:
% 27.12/7.04 | (868) e11 = e10
% 27.12/7.04 |
% 27.12/7.04 | Equations (868) can reduce 293 to:
% 27.12/7.04 | (537) $false
% 27.12/7.04 |
% 27.12/7.04 |-The branch is then unsatisfiable
% 27.12/7.04 |-Branch two:
% 27.12/7.04 | (961) all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)
% 27.12/7.04 |
% 27.12/7.04 | Applying alpha-rule on (961) yields:
% 27.12/7.04 | (962) all_0_210_210 = e10
% 27.12/7.04 | (963) ~ (all_0_209_209 = e13)
% 27.12/7.04 | (964) ~ (all_0_211_211 = e10)
% 27.12/7.04 |
% 27.12/7.04 | Combining equations (878,962) yields a new equation:
% 27.12/7.04 | (867) e11 = e10
% 27.12/7.04 |
% 27.12/7.04 | Simplifying 867 yields:
% 27.12/7.04 | (868) e11 = e10
% 27.12/7.04 |
% 27.12/7.04 | Equations (868) can reduce 293 to:
% 27.12/7.04 | (537) $false
% 27.12/7.04 |
% 27.12/7.04 |-The branch is then unsatisfiable
% 27.12/7.04 |-Branch two:
% 27.12/7.04 | (968) all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)
% 27.12/7.04 |
% 27.12/7.04 | Applying alpha-rule on (968) yields:
% 27.12/7.04 | (969) all_0_213_213 = e13
% 27.12/7.04 | (970) ~ (all_0_212_212 = e12)
% 27.12/7.04 | (971) ~ (all_0_214_214 = e13)
% 27.12/7.04 |
% 27.12/7.04 | Combining equations (1052,969) yields a new equation:
% 27.12/7.04 | (833) e13 = e12
% 27.12/7.04 |
% 27.12/7.04 | Equations (833) can reduce 305 to:
% 27.12/7.04 | (537) $false
% 27.12/7.04 |
% 27.12/7.04 |-The branch is then unsatisfiable
% 27.12/7.04 |-Branch two:
% 27.12/7.04 | (974) all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)
% 27.12/7.04 |
% 27.12/7.04 | Applying alpha-rule on (974) yields:
% 27.12/7.04 | (975) all_0_218_218 = e11
% 27.12/7.04 | (976) ~ (all_0_217_217 = e12)
% 27.12/7.04 | (977) ~ (all_0_219_219 = e11)
% 27.12/7.04 |
% 27.12/7.04 | Combining equations (1067,975) yields a new equation:
% 27.12/7.04 | (868) e11 = e10
% 27.12/7.04 |
% 27.12/7.04 | Equations (868) can reduce 293 to:
% 27.12/7.04 | (537) $false
% 27.12/7.04 |
% 27.12/7.04 |-The branch is then unsatisfiable
% 27.12/7.04 |-Branch two:
% 27.12/7.04 | (979) all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)
% 27.12/7.04 |
% 27.12/7.04 | Applying alpha-rule on (979) yields:
% 27.12/7.04 | (980) all_0_221_221 = e10
% 27.12/7.04 | (981) ~ (all_0_220_220 = e12)
% 27.12/7.04 | (982) ~ (all_0_222_222 = e10)
% 27.12/7.04 |
% 27.12/7.04 | Combining equations (840,980) yields a new equation:
% 27.12/7.04 | (983) e13 = e10
% 27.12/7.04 |
% 27.12/7.04 | Simplifying 983 yields:
% 27.12/7.04 | (862) e13 = e10
% 27.12/7.04 |
% 27.12/7.04 | Equations (862) can reduce 210 to:
% 27.12/7.04 | (537) $false
% 27.12/7.04 |
% 27.12/7.04 |-The branch is then unsatisfiable
% 27.12/7.04 |-Branch two:
% 27.12/7.04 | (986) all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)
% 27.12/7.04 |
% 27.12/7.04 | Applying alpha-rule on (986) yields:
% 27.12/7.04 | (987) all_0_224_224 = e13
% 27.12/7.04 | (988) ~ (all_0_223_223 = e11)
% 27.12/7.04 | (989) ~ (all_0_225_225 = e13)
% 27.12/7.04 |
% 27.12/7.04 | Combining equations (1057,987) yields a new equation:
% 27.12/7.04 | (833) e13 = e12
% 27.12/7.04 |
% 27.12/7.04 | Equations (833) can reduce 305 to:
% 27.12/7.04 | (537) $false
% 27.12/7.04 |
% 27.12/7.04 |-The branch is then unsatisfiable
% 27.12/7.04 |-Branch two:
% 27.12/7.04 | (992) all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)
% 27.12/7.04 |
% 27.12/7.04 | Applying alpha-rule on (992) yields:
% 27.12/7.04 | (993) all_0_227_227 = e12
% 27.12/7.04 | (994) ~ (all_0_226_226 = e11)
% 27.12/7.04 | (995) ~ (all_0_228_228 = e12)
% 27.12/7.04 |
% 27.12/7.04 | Combining equations (1036,993) yields a new equation:
% 27.12/7.04 | (952) e12 = e10
% 27.12/7.04 |
% 27.12/7.04 | Equations (952) can reduce 8 to:
% 27.12/7.04 | (537) $false
% 27.12/7.04 |
% 27.12/7.04 |-The branch is then unsatisfiable
% 27.12/7.04 |-Branch two:
% 27.12/7.04 | (997) all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10)
% 27.12/7.04 |
% 27.12/7.04 | Applying alpha-rule on (997) yields:
% 27.12/7.04 | (998) all_0_232_232 = e10
% 27.12/7.04 | (999) ~ (all_0_231_231 = e11)
% 27.12/7.04 | (1000) ~ (all_0_233_233 = e10)
% 27.12/7.04 |
% 27.12/7.04 | Combining equations (889,998) yields a new equation:
% 27.12/7.04 | (983) e13 = e10
% 27.12/7.04 |
% 27.12/7.04 | Simplifying 983 yields:
% 27.12/7.04 | (862) e13 = e10
% 27.12/7.04 |
% 27.12/7.04 | Equations (862) can reduce 210 to:
% 27.12/7.04 | (537) $false
% 27.12/7.04 |
% 27.12/7.04 |-The branch is then unsatisfiable
% 27.12/7.04 |-Branch two:
% 27.12/7.04 | (1004) all_0_249_249 = e11 & ~ (all_0_248_248 = e10)
% 27.12/7.04 |
% 27.12/7.04 | Applying alpha-rule on (1004) yields:
% 27.12/7.04 | (1005) all_0_249_249 = e11
% 27.12/7.04 | (905) ~ (all_0_248_248 = e10)
% 27.12/7.04 |
% 27.49/7.04 | Combining equations (850,1005) yields a new equation:
% 27.49/7.04 | (958) e13 = e11
% 27.49/7.04 |
% 27.49/7.04 | Simplifying 958 yields:
% 27.49/7.04 | (959) e13 = e11
% 27.49/7.04 |
% 27.49/7.04 | Equations (959) can reduce 446 to:
% 27.49/7.04 | (537) $false
% 27.49/7.04 |
% 27.49/7.04 |-The branch is then unsatisfiable
% 27.49/7.04 |-Branch two:
% 27.49/7.04 | (1147) ~ (all_0_252_252 = e12)
% 27.49/7.04 | (918) all_0_252_252 = e10
% 27.49/7.04 |
% 27.49/7.04 | Equations (918) can reduce 1020 to:
% 27.49/7.04 | (537) $false
% 27.49/7.04 |
% 27.49/7.04 |-The branch is then unsatisfiable
% 27.49/7.04 |-Branch two:
% 27.49/7.04 | (1150) ~ (all_0_247_247 = e12)
% 27.49/7.04 | (1151) all_0_251_251 = e12 | all_0_255_255 = e12
% 27.49/7.04 |
% 27.49/7.04 +-Applying beta-rule and splitting (476), into two cases.
% 27.49/7.04 |-Branch one:
% 27.49/7.04 | (1152) all_0_250_250 = e12
% 27.49/7.04 |
% 27.49/7.04 | Combining equations (776,1152) yields a new equation:
% 27.49/7.04 | (832) e13 = e12
% 27.49/7.04 |
% 27.49/7.04 | Simplifying 832 yields:
% 27.49/7.04 | (833) e13 = e12
% 27.49/7.04 |
% 27.49/7.04 | Equations (833) can reduce 305 to:
% 27.49/7.04 | (537) $false
% 27.49/7.04 |
% 27.49/7.04 |-The branch is then unsatisfiable
% 27.49/7.04 |-Branch two:
% 27.49/7.04 | (1156) ~ (all_0_250_250 = e12)
% 27.49/7.04 | (1157) all_0_251_251 = e12 | all_0_252_252 = e12
% 27.49/7.04 |
% 27.49/7.04 +-Applying beta-rule and splitting (1157), into two cases.
% 27.49/7.04 |-Branch one:
% 27.49/7.04 | (933) all_0_251_251 = e12
% 27.49/7.04 |
% 27.49/7.04 | Combining equations (933,1011) yields a new equation:
% 27.49/7.04 | (1159) e12 = e10
% 27.49/7.04 |
% 27.49/7.04 | Simplifying 1159 yields:
% 27.49/7.04 | (952) e12 = e10
% 27.49/7.04 |
% 27.49/7.04 | Equations (952) can reduce 8 to:
% 27.49/7.04 | (537) $false
% 27.49/7.04 |
% 27.49/7.04 |-The branch is then unsatisfiable
% 27.49/7.04 |-Branch two:
% 27.49/7.04 | (1010) ~ (all_0_251_251 = e12)
% 27.49/7.04 | (1056) all_0_252_252 = e12
% 27.49/7.04 |
% 27.49/7.04 | Equations (1056) can reduce 1020 to:
% 27.49/7.04 | (8) ~ (e12 = e10)
% 27.49/7.04 |
% 27.49/7.04 +-Applying beta-rule and splitting (775), into two cases.
% 27.49/7.04 |-Branch one:
% 27.49/7.04 | (1051) all_0_247_247 = e12
% 27.49/7.04 |
% 27.49/7.04 | Equations (1051) can reduce 1150 to:
% 27.49/7.04 | (537) $false
% 27.49/7.04 |
% 27.49/7.04 |-The branch is then unsatisfiable
% 27.49/7.04 |-Branch two:
% 27.49/7.04 | (1150) ~ (all_0_247_247 = e12)
% 27.49/7.04 | (927) all_0_248_248 = e12
% 27.49/7.04 |
% 27.49/7.04 | Combining equations (927,910) yields a new equation:
% 27.49/7.04 | (1159) e12 = e10
% 27.49/7.04 |
% 27.49/7.04 | Simplifying 1159 yields:
% 27.49/7.04 | (952) e12 = e10
% 27.49/7.04 |
% 27.49/7.04 | Equations (952) can reduce 8 to:
% 27.49/7.04 | (537) $false
% 27.49/7.04 |
% 27.49/7.04 |-The branch is then unsatisfiable
% 27.49/7.05 |-Branch two:
% 27.49/7.05 | (905) ~ (all_0_248_248 = e10)
% 27.49/7.05 | (861) all_0_249_249 = e10
% 27.49/7.05 |
% 27.49/7.05 | Combining equations (850,861) yields a new equation:
% 27.49/7.05 | (983) e13 = e10
% 27.49/7.05 |
% 27.49/7.05 | Simplifying 983 yields:
% 27.49/7.05 | (862) e13 = e10
% 27.49/7.05 |
% 27.49/7.05 | Equations (862) can reduce 210 to:
% 27.49/7.05 | (537) $false
% 27.49/7.05 |
% 27.49/7.05 |-The branch is then unsatisfiable
% 27.49/7.05 |-Branch two:
% 27.49/7.05 | (921) ~ (all_0_251_251 = e10)
% 27.49/7.05 | (1178) all_0_255_255 = e10
% 27.49/7.05 |
% 27.49/7.05 | Combining equations (1178,839) yields a new equation:
% 27.49/7.05 | (862) e13 = e10
% 27.49/7.05 |
% 27.49/7.05 | Equations (862) can reduce 210 to:
% 27.49/7.05 | (537) $false
% 27.49/7.05 |
% 27.49/7.05 |-The branch is then unsatisfiable
% 27.49/7.05 |-Branch two:
% 27.49/7.05 | (1181) ~ (all_0_249_249 = e13)
% 27.49/7.05 | (1182) all_0_253_253 = e13 | all_0_257_257 = e13
% 27.49/7.05 |
% 27.49/7.05 +-Applying beta-rule and splitting (1182), into two cases.
% 27.49/7.05 |-Branch one:
% 27.49/7.05 | (1183) all_0_253_253 = e13
% 27.49/7.05 |
% 27.49/7.05 | Combining equations (693,1183) yields a new equation:
% 27.49/7.05 | (959) e13 = e11
% 27.49/7.05 |
% 27.49/7.05 | Equations (959) can reduce 446 to:
% 27.49/7.05 | (537) $false
% 27.49/7.05 |
% 27.49/7.05 |-The branch is then unsatisfiable
% 27.49/7.05 |-Branch two:
% 27.49/7.05 | (1186) ~ (all_0_253_253 = e13)
% 27.49/7.05 | (1187) all_0_257_257 = e13
% 27.49/7.05 |
% 27.49/7.05 | Equations (1187) can reduce 843 to:
% 27.49/7.05 | (537) $false
% 27.49/7.05 |
% 27.49/7.05 |-The branch is then unsatisfiable
% 27.49/7.05 |-Branch two:
% 27.49/7.05 | (1189) ~ (all_0_255_255 = e13)
% 27.49/7.05 | (1190) all_0_255_255 = e12 | all_0_255_255 = e10
% 27.49/7.05 |
% 27.49/7.05 +-Applying beta-rule and splitting (189), into two cases.
% 27.49/7.05 |-Branch one:
% 27.49/7.05 | (1191) all_0_247_247 = e13
% 27.49/7.05 |
% 27.49/7.05 | Equations (1191) can reduce 271 to:
% 27.49/7.05 | (1192) ~ (all_0_248_248 = e13)
% 27.49/7.05 |
% 27.49/7.05 | Simplifying 1192 yields:
% 27.49/7.05 | (400) ~ (all_0_248_248 = e13)
% 27.49/7.05 |
% 27.49/7.05 | Equations (1191) can reduce 296 to:
% 27.49/7.05 | (777) ~ (all_0_251_251 = e13)
% 27.49/7.05 |
% 27.49/7.05 | Simplifying 777 yields:
% 27.49/7.05 | (778) ~ (all_0_251_251 = e13)
% 27.49/7.05 |
% 27.49/7.05 | Equations (1191) can reduce 240 to:
% 27.49/7.05 | (1196) ~ (all_0_255_255 = e13)
% 27.49/7.05 |
% 27.49/7.05 | Simplifying 1196 yields:
% 27.49/7.05 | (1189) ~ (all_0_255_255 = e13)
% 27.49/7.05 |
% 27.49/7.05 | From (1191) and (289) follows:
% 27.49/7.05 | (1198) op1(e13, e13) = all_0_204_204
% 27.49/7.05 |
% 27.49/7.05 | From (1191) and (117) follows:
% 27.49/7.05 | (1199) op1(e12, e13) = all_0_168_168
% 27.49/7.05 |
% 27.49/7.05 +-Applying beta-rule and splitting (58), into two cases.
% 27.49/7.05 |-Branch one:
% 27.49/7.05 | (1051) all_0_247_247 = e12
% 27.49/7.05 |
% 27.49/7.05 | Combining equations (1191,1051) yields a new equation:
% 27.49/7.05 | (832) e13 = e12
% 27.49/7.05 |
% 27.49/7.05 | Simplifying 832 yields:
% 27.49/7.05 | (833) e13 = e12
% 27.49/7.05 |
% 27.49/7.05 | Equations (833) can reduce 305 to:
% 27.49/7.05 | (537) $false
% 27.49/7.05 |
% 27.49/7.05 |-The branch is then unsatisfiable
% 27.49/7.05 |-Branch two:
% 27.49/7.05 | (1150) ~ (all_0_247_247 = e12)
% 27.49/7.05 | (1151) all_0_251_251 = e12 | all_0_255_255 = e12
% 27.49/7.05 |
% 27.49/7.05 +-Applying beta-rule and splitting (836), into two cases.
% 27.49/7.05 |-Branch one:
% 27.49/7.05 | (839) all_0_255_255 = e13
% 27.49/7.05 |
% 27.49/7.05 | Equations (839) can reduce 1189 to:
% 27.49/7.05 | (537) $false
% 27.49/7.05 |
% 27.49/7.05 |-The branch is then unsatisfiable
% 27.49/7.05 |-Branch two:
% 27.49/7.05 | (1189) ~ (all_0_255_255 = e13)
% 27.49/7.05 | (1187) all_0_257_257 = e13
% 27.49/7.05 |
% 27.49/7.05 | Equations (1187) can reduce 386 to:
% 27.49/7.05 | (1189) ~ (all_0_255_255 = e13)
% 27.49/7.05 |
% 27.49/7.05 | Equations (1187) can reduce 747 to:
% 27.49/7.05 | (446) ~ (e13 = e11)
% 27.49/7.05 |
% 27.49/7.05 | From (1187) and (148) follows:
% 27.49/7.05 | (1212) op1(e13, e11) = all_0_232_232
% 27.49/7.05 |
% 27.49/7.05 | From (1187) and (462) follows:
% 27.49/7.05 | (1213) op1(e13, e10) = all_0_231_231
% 27.49/7.05 |
% 27.49/7.05 | From (1187) and (331) follows:
% 27.49/7.05 | (1214) op1(e13, e13) = all_0_198_198
% 27.49/7.05 |
% 27.49/7.05 | From (1187) and (121) follows:
% 27.49/7.05 | (1215) op1(e12, e13) = all_0_199_199
% 27.49/7.05 |
% 27.49/7.05 +-Applying beta-rule and splitting (1151), into two cases.
% 27.49/7.05 |-Branch one:
% 27.49/7.05 | (933) all_0_251_251 = e12
% 27.49/7.05 |
% 27.49/7.05 | Equations (933) can reduce 481 to:
% 27.49/7.05 | (799) ~ (all_0_255_255 = e12)
% 27.49/7.05 |
% 27.49/7.05 | Simplifying 799 yields:
% 27.49/7.05 | (800) ~ (all_0_255_255 = e12)
% 27.49/7.05 |
% 27.49/7.05 | Equations (933) can reduce 778 to:
% 27.49/7.05 | (803) ~ (e13 = e12)
% 27.49/7.05 |
% 27.49/7.05 | Simplifying 803 yields:
% 27.49/7.05 | (305) ~ (e13 = e12)
% 27.49/7.05 |
% 27.49/7.05 +-Applying beta-rule and splitting (372), into two cases.
% 27.49/7.05 |-Branch one:
% 27.49/7.05 | (1011) all_0_251_251 = e10
% 27.49/7.05 |
% 27.49/7.05 | Combining equations (933,1011) yields a new equation:
% 27.49/7.05 | (1159) e12 = e10
% 27.49/7.05 |
% 27.49/7.05 | Simplifying 1159 yields:
% 27.49/7.05 | (952) e12 = e10
% 27.49/7.05 |
% 27.49/7.05 | Equations (952) can reduce 8 to:
% 27.49/7.05 | (537) $false
% 27.49/7.05 |
% 27.49/7.05 |-The branch is then unsatisfiable
% 27.49/7.05 |-Branch two:
% 27.49/7.05 | (921) ~ (all_0_251_251 = e10)
% 27.49/7.05 | (1226) all_0_252_252 = e10 | all_0_253_253 = e10
% 27.49/7.05 |
% 27.49/7.05 | Equations (933) can reduce 921 to:
% 27.49/7.05 | (8) ~ (e12 = e10)
% 27.49/7.05 |
% 27.49/7.05 +-Applying beta-rule and splitting (454), into two cases.
% 27.49/7.05 |-Branch one:
% 27.49/7.05 | (902) all_0_247_247 = e10
% 27.49/7.05 |
% 27.49/7.05 | Combining equations (1191,902) yields a new equation:
% 27.49/7.05 | (983) e13 = e10
% 27.49/7.05 |
% 27.49/7.05 | Simplifying 983 yields:
% 27.49/7.05 | (862) e13 = e10
% 27.49/7.05 |
% 27.49/7.05 | Equations (862) can reduce 210 to:
% 27.49/7.05 | (537) $false
% 27.49/7.05 |
% 27.49/7.05 |-The branch is then unsatisfiable
% 27.49/7.05 |-Branch two:
% 27.49/7.05 | (1025) ~ (all_0_247_247 = e10)
% 27.49/7.05 | (1026) all_0_251_251 = e10 | all_0_255_255 = e10
% 27.49/7.05 |
% 27.49/7.05 +-Applying beta-rule and splitting (775), into two cases.
% 27.49/7.05 |-Branch one:
% 27.49/7.05 | (1051) all_0_247_247 = e12
% 27.49/7.05 |
% 27.49/7.05 | Combining equations (1191,1051) yields a new equation:
% 27.49/7.05 | (832) e13 = e12
% 27.49/7.05 |
% 27.49/7.05 | Simplifying 832 yields:
% 27.49/7.05 | (833) e13 = e12
% 27.49/7.05 |
% 27.49/7.05 | Equations (833) can reduce 305 to:
% 27.49/7.05 | (537) $false
% 27.49/7.05 |
% 27.49/7.05 |-The branch is then unsatisfiable
% 27.49/7.05 |-Branch two:
% 27.49/7.05 | (1150) ~ (all_0_247_247 = e12)
% 27.49/7.05 | (927) all_0_248_248 = e12
% 27.49/7.05 |
% 27.49/7.05 | Equations (927) can reduce 153 to:
% 27.49/7.05 | (1240) ~ (all_0_252_252 = e12)
% 27.49/7.05 |
% 27.49/7.05 | Simplifying 1240 yields:
% 27.49/7.05 | (1147) ~ (all_0_252_252 = e12)
% 27.49/7.05 |
% 27.49/7.05 | Equations (927) can reduce 400 to:
% 27.49/7.05 | (803) ~ (e13 = e12)
% 27.49/7.05 |
% 27.49/7.05 | Simplifying 803 yields:
% 27.49/7.05 | (305) ~ (e13 = e12)
% 27.49/7.05 |
% 27.49/7.05 | Equations (927) can reduce 724 to:
% 27.49/7.05 | (113) ~ (e12 = e11)
% 27.49/7.05 |
% 27.49/7.05 | From (927) and (410) follows:
% 27.49/7.05 | (928) op1(e12, e13) = all_0_207_207
% 27.49/7.05 |
% 27.49/7.05 | From (927) and (24) follows:
% 27.49/7.05 | (1246) op1(e13, e11) = e12
% 27.49/7.05 |
% 27.49/7.05 +-Applying beta-rule and splitting (335), into two cases.
% 27.49/7.05 |-Branch one:
% 27.49/7.05 | (1005) all_0_249_249 = e11
% 27.49/7.05 |
% 27.49/7.05 | Equations (1005) can reduce 694 to:
% 27.49/7.05 | (537) $false
% 27.49/7.05 |
% 27.49/7.05 |-The branch is then unsatisfiable
% 27.49/7.05 |-Branch two:
% 27.49/7.05 | (694) ~ (all_0_249_249 = e11)
% 27.49/7.05 | (1250) all_0_249_249 = e13 | all_0_249_249 = e10
% 27.49/7.05 |
% 27.49/7.05 +-Applying beta-rule and splitting (1026), into two cases.
% 27.49/7.05 |-Branch one:
% 27.49/7.05 | (1011) all_0_251_251 = e10
% 27.49/7.05 |
% 27.49/7.05 | Combining equations (933,1011) yields a new equation:
% 27.49/7.05 | (1159) e12 = e10
% 27.49/7.05 |
% 27.49/7.05 | Simplifying 1159 yields:
% 27.49/7.05 | (952) e12 = e10
% 27.49/7.05 |
% 27.49/7.05 | Equations (952) can reduce 8 to:
% 27.49/7.05 | (537) $false
% 27.49/7.05 |
% 27.49/7.05 |-The branch is then unsatisfiable
% 27.49/7.05 |-Branch two:
% 27.49/7.05 | (921) ~ (all_0_251_251 = e10)
% 27.49/7.05 | (1178) all_0_255_255 = e10
% 27.49/7.05 |
% 27.49/7.05 | Equations (1178) can reduce 1189 to:
% 27.49/7.05 | (872) ~ (e13 = e10)
% 27.49/7.05 |
% 27.49/7.05 | Simplifying 872 yields:
% 27.49/7.05 | (210) ~ (e13 = e10)
% 27.49/7.05 |
% 27.49/7.05 | Equations (1178) can reduce 800 to:
% 27.49/7.05 | (874) ~ (e12 = e10)
% 27.49/7.05 |
% 27.49/7.05 | Simplifying 874 yields:
% 27.49/7.05 | (8) ~ (e12 = e10)
% 27.49/7.05 |
% 27.49/7.05 | From (1178) and (299) follows:
% 27.49/7.05 | (1261) op1(e10, e11) = all_0_227_227
% 27.49/7.05 |
% 27.49/7.05 | From (1178) and (87) follows:
% 27.49/7.05 | (1262) op1(e13, e10) = all_0_192_192
% 27.49/7.05 |
% 27.49/7.05 | From (1178) and (339) follows:
% 27.49/7.05 | (1263) op1(e12, e10) = all_0_193_193
% 27.49/7.05 |
% 27.49/7.05 +-Applying beta-rule and splitting (398), into two cases.
% 27.49/7.05 |-Branch one:
% 27.49/7.05 | (902) all_0_247_247 = e10
% 27.49/7.05 |
% 27.49/7.05 | Combining equations (1191,902) yields a new equation:
% 27.49/7.05 | (983) e13 = e10
% 27.49/7.05 |
% 27.49/7.05 | Simplifying 983 yields:
% 27.49/7.05 | (862) e13 = e10
% 27.49/7.05 |
% 27.49/7.05 | Equations (862) can reduce 210 to:
% 27.49/7.05 | (537) $false
% 27.49/7.05 |
% 27.49/7.05 |-The branch is then unsatisfiable
% 27.49/7.05 |-Branch two:
% 27.49/7.05 | (1025) ~ (all_0_247_247 = e10)
% 27.49/7.05 | (1030) all_0_248_248 = e10 | all_0_249_249 = e10
% 27.49/7.05 |
% 27.49/7.05 +-Applying beta-rule and splitting (409), into two cases.
% 27.49/7.05 |-Branch one:
% 27.49/7.05 | (910) all_0_248_248 = e10
% 27.49/7.05 |
% 27.49/7.05 | Combining equations (927,910) yields a new equation:
% 27.49/7.05 | (1159) e12 = e10
% 27.49/7.05 |
% 27.49/7.05 | Simplifying 1159 yields:
% 27.49/7.05 | (952) e12 = e10
% 27.49/7.05 |
% 27.49/7.05 | Equations (952) can reduce 8 to:
% 27.49/7.05 | (537) $false
% 27.49/7.05 |
% 27.49/7.05 |-The branch is then unsatisfiable
% 27.49/7.05 |-Branch two:
% 27.49/7.05 | (905) ~ (all_0_248_248 = e10)
% 27.49/7.05 | (913) all_0_252_252 = e10 | all_0_256_256 = e10
% 27.49/7.05 |
% 27.49/7.05 | Equations (927) can reduce 905 to:
% 27.49/7.05 | (8) ~ (e12 = e10)
% 27.49/7.05 |
% 27.49/7.05 +-Applying beta-rule and splitting (1030), into two cases.
% 27.49/7.05 |-Branch one:
% 27.49/7.05 | (910) all_0_248_248 = e10
% 27.49/7.05 |
% 27.49/7.05 | Combining equations (927,910) yields a new equation:
% 27.49/7.05 | (1159) e12 = e10
% 27.49/7.05 |
% 27.49/7.05 | Simplifying 1159 yields:
% 27.49/7.05 | (952) e12 = e10
% 27.49/7.05 |
% 27.49/7.05 | Equations (952) can reduce 8 to:
% 27.49/7.05 | (537) $false
% 27.49/7.05 |
% 27.49/7.05 |-The branch is then unsatisfiable
% 27.49/7.05 |-Branch two:
% 27.49/7.05 | (905) ~ (all_0_248_248 = e10)
% 27.49/7.05 | (861) all_0_249_249 = e10
% 27.49/7.05 |
% 27.49/7.05 | Equations (861) can reduce 694 to:
% 27.49/7.05 | (906) ~ (e11 = e10)
% 27.49/7.05 |
% 27.49/7.05 | Simplifying 906 yields:
% 27.49/7.05 | (293) ~ (e11 = e10)
% 27.49/7.06 |
% 27.49/7.06 | From (861) and (209) follows:
% 27.49/7.06 | (1285) op1(e13, e10) = all_0_211_211
% 27.49/7.06 |
% 27.49/7.06 | From (861) and (260) follows:
% 27.49/7.06 | (1286) op1(e13, e10) = e10
% 27.49/7.06 |
% 27.49/7.06 | From (861) and (348) follows:
% 27.49/7.06 | (1287) op1(e12, e10) = all_0_174_174
% 27.49/7.06 |
% 27.49/7.06 +-Applying beta-rule and splitting (913), into two cases.
% 27.49/7.06 |-Branch one:
% 27.49/7.06 | (918) all_0_252_252 = e10
% 27.49/7.06 |
% 27.49/7.06 | Combining equations (918,818) yields a new equation:
% 27.49/7.06 | (919) all_0_224_224 = e10
% 27.49/7.06 |
% 27.49/7.06 | Combining equations (918,707) yields a new equation:
% 27.49/7.06 | (1290) all_0_222_222 = e10
% 27.49/7.06 |
% 27.49/7.06 | Equations (918) can reduce 295 to:
% 27.49/7.06 | (872) ~ (e13 = e10)
% 27.49/7.06 |
% 27.49/7.06 | Simplifying 872 yields:
% 27.49/7.06 | (210) ~ (e13 = e10)
% 27.49/7.06 |
% 27.49/7.06 | Equations (918) can reduce 1147 to:
% 27.49/7.06 | (874) ~ (e12 = e10)
% 27.49/7.06 |
% 27.49/7.06 | Simplifying 874 yields:
% 27.49/7.06 | (8) ~ (e12 = e10)
% 27.49/7.06 |
% 27.49/7.06 | Equations (918) can reduce 697 to:
% 27.49/7.06 | (906) ~ (e11 = e10)
% 27.49/7.06 |
% 27.49/7.06 | Simplifying 906 yields:
% 27.49/7.06 | (293) ~ (e11 = e10)
% 27.49/7.06 |
% 27.49/7.06 | From (918) and (319) follows:
% 27.49/7.06 | (1297) op1(e10, e11) = all_0_217_217
% 27.49/7.06 |
% 27.49/7.06 | From (918) and (423) follows:
% 27.49/7.06 | (1298) op1(e13, e10) = all_0_183_183
% 27.49/7.06 |
% 27.49/7.06 | From (918) and (435) follows:
% 27.49/7.06 | (926) op1(e12, e10) = all_0_219_219
% 27.49/7.06 |
% 27.49/7.06 | Instantiating formula (144) with e13, e13, all_0_198_198, e11 and discharging atoms op1(e13, e13) = all_0_198_198, op1(e13, e13) = e11, yields:
% 27.49/7.06 | (1300) all_0_198_198 = e11
% 27.49/7.06 |
% 27.49/7.06 | Instantiating formula (144) with e13, e13, all_0_204_204, all_0_198_198 and discharging atoms op1(e13, e13) = all_0_198_198, op1(e13, e13) = all_0_204_204, yields:
% 27.49/7.06 | (1301) all_0_198_198 = all_0_204_204
% 27.49/7.06 |
% 27.49/7.06 | Instantiating formula (144) with e13, e11, e12, all_0_232_232 and discharging atoms op1(e13, e11) = all_0_232_232, op1(e13, e11) = e12, yields:
% 27.49/7.06 | (1302) all_0_232_232 = e12
% 27.49/7.06 |
% 27.49/7.06 | Instantiating formula (144) with e13, e10, all_0_192_192, all_0_183_183 and discharging atoms op1(e13, e10) = all_0_183_183, op1(e13, e10) = all_0_192_192, yields:
% 27.49/7.06 | (1303) all_0_183_183 = all_0_192_192
% 27.49/7.06 |
% 27.49/7.06 | Instantiating formula (144) with e13, e10, all_0_211_211, all_0_192_192 and discharging atoms op1(e13, e10) = all_0_192_192, op1(e13, e10) = all_0_211_211, yields:
% 27.49/7.06 | (880) all_0_192_192 = all_0_211_211
% 27.49/7.06 |
% 27.49/7.06 | Instantiating formula (144) with e13, e10, all_0_231_231, all_0_183_183 and discharging atoms op1(e13, e10) = all_0_183_183, op1(e13, e10) = all_0_231_231, yields:
% 27.49/7.06 | (1305) all_0_183_183 = all_0_231_231
% 27.49/7.06 |
% 27.49/7.06 | Instantiating formula (144) with e13, e10, e10, all_0_192_192 and discharging atoms op1(e13, e10) = all_0_192_192, op1(e13, e10) = e10, yields:
% 27.49/7.06 | (1306) all_0_192_192 = e10
% 27.49/7.06 |
% 27.49/7.06 | Instantiating formula (144) with e12, e13, all_0_199_199, e13 and discharging atoms op1(e12, e13) = all_0_199_199, op1(e12, e13) = e13, yields:
% 27.49/7.06 | (1307) all_0_199_199 = e13
% 27.49/7.06 |
% 27.49/7.06 | Instantiating formula (144) with e12, e13, all_0_199_199, all_0_168_168 and discharging atoms op1(e12, e13) = all_0_168_168, op1(e12, e13) = all_0_199_199, yields:
% 27.49/7.06 | (1308) all_0_168_168 = all_0_199_199
% 27.49/7.06 |
% 27.49/7.06 | Instantiating formula (144) with e12, e13, all_0_207_207, all_0_168_168 and discharging atoms op1(e12, e13) = all_0_168_168, op1(e12, e13) = all_0_207_207, yields:
% 27.49/7.06 | (1309) all_0_168_168 = all_0_207_207
% 27.49/7.06 |
% 27.49/7.06 | Instantiating formula (144) with e12, e10, all_0_193_193, e11 and discharging atoms op1(e12, e10) = all_0_193_193, op1(e12, e10) = e11, yields:
% 27.49/7.06 | (1310) all_0_193_193 = e11
% 27.49/7.06 |
% 27.49/7.06 | Instantiating formula (144) with e12, e10, all_0_193_193, all_0_174_174 and discharging atoms op1(e12, e10) = all_0_174_174, op1(e12, e10) = all_0_193_193, yields:
% 27.49/7.06 | (883) all_0_174_174 = all_0_193_193
% 27.49/7.06 |
% 27.49/7.06 | Instantiating formula (144) with e12, e10, all_0_219_219, all_0_174_174 and discharging atoms op1(e12, e10) = all_0_174_174, op1(e12, e10) = all_0_219_219, yields:
% 27.49/7.06 | (1312) all_0_174_174 = all_0_219_219
% 27.49/7.06 |
% 27.49/7.06 | Instantiating formula (144) with e10, e11, all_0_217_217, e13 and discharging atoms op1(e10, e11) = all_0_217_217, op1(e10, e11) = e13, yields:
% 27.49/7.06 | (1313) all_0_217_217 = e13
% 27.49/7.06 |
% 27.49/7.06 | Instantiating formula (144) with e10, e11, all_0_227_227, all_0_217_217 and discharging atoms op1(e10, e11) = all_0_217_217, op1(e10, e11) = all_0_227_227, yields:
% 27.49/7.06 | (1314) all_0_217_217 = all_0_227_227
% 27.49/7.06 |
% 27.49/7.06 | Combining equations (1308,1309) yields a new equation:
% 27.49/7.06 | (1315) all_0_199_199 = all_0_207_207
% 27.49/7.06 |
% 27.49/7.06 | Simplifying 1315 yields:
% 27.49/7.06 | (1316) all_0_199_199 = all_0_207_207
% 27.49/7.06 |
% 27.49/7.06 | Combining equations (883,1312) yields a new equation:
% 27.49/7.06 | (1317) all_0_193_193 = all_0_219_219
% 27.49/7.06 |
% 27.49/7.06 | Simplifying 1317 yields:
% 27.49/7.06 | (1318) all_0_193_193 = all_0_219_219
% 27.49/7.06 |
% 27.49/7.06 | Combining equations (1303,1305) yields a new equation:
% 27.49/7.06 | (1319) all_0_192_192 = all_0_231_231
% 27.49/7.06 |
% 27.49/7.06 | Simplifying 1319 yields:
% 27.49/7.06 | (1320) all_0_192_192 = all_0_231_231
% 27.49/7.06 |
% 27.49/7.06 | Combining equations (1306,880) yields a new equation:
% 27.49/7.06 | (1321) all_0_211_211 = e10
% 27.49/7.06 |
% 27.49/7.06 | Combining equations (1320,880) yields a new equation:
% 27.49/7.06 | (1322) all_0_211_211 = all_0_231_231
% 27.49/7.06 |
% 27.49/7.06 | Combining equations (1310,1318) yields a new equation:
% 27.49/7.06 | (939) all_0_219_219 = e11
% 27.49/7.06 |
% 27.49/7.06 | Combining equations (1301,1300) yields a new equation:
% 27.49/7.06 | (1324) all_0_204_204 = e11
% 27.49/7.06 |
% 27.49/7.06 | Simplifying 1324 yields:
% 27.49/7.06 | (1325) all_0_204_204 = e11
% 27.49/7.06 |
% 27.49/7.06 | Combining equations (1307,1316) yields a new equation:
% 27.49/7.06 | (935) all_0_207_207 = e13
% 27.49/7.06 |
% 27.49/7.06 | Combining equations (1321,1322) yields a new equation:
% 27.49/7.06 | (1327) all_0_231_231 = e10
% 27.49/7.06 |
% 27.49/7.06 | Combining equations (1314,1313) yields a new equation:
% 27.49/7.06 | (1328) all_0_227_227 = e13
% 27.49/7.06 |
% 27.49/7.06 | Simplifying 1328 yields:
% 27.49/7.06 | (1329) all_0_227_227 = e13
% 27.49/7.06 |
% 27.49/7.06 | Combining equations (1327,1322) yields a new equation:
% 27.49/7.06 | (1321) all_0_211_211 = e10
% 27.49/7.06 |
% 27.49/7.06 +-Applying beta-rule and splitting (257), into two cases.
% 27.49/7.06 |-Branch one:
% 27.49/7.06 | (940) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)) | (all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10))
% 27.49/7.06 |
% 27.49/7.06 +-Applying beta-rule and splitting (940), into two cases.
% 27.49/7.06 |-Branch one:
% 27.49/7.06 | (941) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12))
% 27.49/7.06 |
% 27.49/7.06 +-Applying beta-rule and splitting (941), into two cases.
% 27.49/7.06 |-Branch one:
% 27.49/7.06 | (942) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13))
% 27.49/7.06 |
% 27.49/7.06 +-Applying beta-rule and splitting (942), into two cases.
% 27.49/7.06 |-Branch one:
% 27.49/7.06 | (943) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10))
% 27.49/7.06 |
% 27.49/7.06 +-Applying beta-rule and splitting (943), into two cases.
% 27.49/7.06 |-Branch one:
% 27.49/7.06 | (944) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11))
% 27.49/7.06 |
% 27.49/7.06 +-Applying beta-rule and splitting (944), into two cases.
% 27.49/7.06 |-Branch one:
% 27.49/7.06 | (945) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13))
% 27.49/7.06 |
% 27.49/7.06 +-Applying beta-rule and splitting (945), into two cases.
% 27.49/7.06 |-Branch one:
% 27.49/7.06 | (946) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10))
% 27.49/7.06 |
% 27.49/7.06 +-Applying beta-rule and splitting (946), into two cases.
% 27.49/7.06 |-Branch one:
% 27.49/7.06 | (947) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11))
% 27.49/7.06 |
% 27.49/7.06 +-Applying beta-rule and splitting (947), into two cases.
% 27.49/7.06 |-Branch one:
% 27.49/7.06 | (948) all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)
% 27.49/7.06 |
% 27.49/7.06 | Applying alpha-rule on (948) yields:
% 27.49/7.06 | (949) all_0_204_204 = e12
% 27.49/7.06 | (950) ~ (all_0_203_203 = e13)
% 27.49/7.06 | (951) ~ (all_0_205_205 = e12)
% 27.49/7.06 |
% 27.49/7.06 | Combining equations (1325,949) yields a new equation:
% 27.49/7.06 | (772) e12 = e11
% 27.49/7.06 |
% 27.49/7.06 | Equations (772) can reduce 113 to:
% 27.49/7.06 | (537) $false
% 27.49/7.06 |
% 27.49/7.06 |-The branch is then unsatisfiable
% 27.49/7.06 |-Branch two:
% 27.49/7.06 | (954) all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)
% 27.49/7.06 |
% 27.49/7.06 | Applying alpha-rule on (954) yields:
% 27.49/7.06 | (955) all_0_207_207 = e11
% 27.49/7.06 | (956) ~ (all_0_206_206 = e13)
% 27.49/7.06 | (957) ~ (all_0_208_208 = e11)
% 27.49/7.06 |
% 27.49/7.06 | Combining equations (935,955) yields a new equation:
% 27.49/7.06 | (958) e13 = e11
% 27.49/7.06 |
% 27.49/7.06 | Simplifying 958 yields:
% 27.49/7.06 | (959) e13 = e11
% 27.49/7.06 |
% 27.49/7.06 | Equations (959) can reduce 446 to:
% 27.49/7.06 | (537) $false
% 27.49/7.06 |
% 27.49/7.06 |-The branch is then unsatisfiable
% 27.49/7.06 |-Branch two:
% 27.49/7.06 | (961) all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)
% 27.49/7.06 |
% 27.49/7.06 | Applying alpha-rule on (961) yields:
% 27.49/7.06 | (962) all_0_210_210 = e10
% 27.49/7.06 | (963) ~ (all_0_209_209 = e13)
% 27.49/7.07 | (964) ~ (all_0_211_211 = e10)
% 27.49/7.07 |
% 27.49/7.07 | Equations (1321) can reduce 964 to:
% 27.49/7.07 | (537) $false
% 27.49/7.07 |
% 27.49/7.07 |-The branch is then unsatisfiable
% 27.49/7.07 |-Branch two:
% 27.49/7.07 | (968) all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)
% 27.49/7.07 |
% 27.49/7.07 | Applying alpha-rule on (968) yields:
% 27.49/7.07 | (969) all_0_213_213 = e13
% 27.49/7.07 | (970) ~ (all_0_212_212 = e12)
% 27.49/7.07 | (971) ~ (all_0_214_214 = e13)
% 27.49/7.07 |
% 27.49/7.07 | Equations (816) can reduce 971 to:
% 27.49/7.07 | (537) $false
% 27.49/7.07 |
% 27.49/7.07 |-The branch is then unsatisfiable
% 27.49/7.07 |-Branch two:
% 27.49/7.07 | (974) all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)
% 27.49/7.07 |
% 27.49/7.07 | Applying alpha-rule on (974) yields:
% 27.49/7.07 | (975) all_0_218_218 = e11
% 27.49/7.07 | (976) ~ (all_0_217_217 = e12)
% 27.49/7.07 | (977) ~ (all_0_219_219 = e11)
% 27.49/7.07 |
% 27.49/7.07 | Equations (939) can reduce 977 to:
% 27.49/7.07 | (537) $false
% 27.49/7.07 |
% 27.49/7.07 |-The branch is then unsatisfiable
% 27.49/7.07 |-Branch two:
% 27.49/7.07 | (979) all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)
% 27.49/7.07 |
% 27.49/7.07 | Applying alpha-rule on (979) yields:
% 27.49/7.07 | (980) all_0_221_221 = e10
% 27.49/7.07 | (981) ~ (all_0_220_220 = e12)
% 27.49/7.07 | (982) ~ (all_0_222_222 = e10)
% 27.49/7.07 |
% 27.49/7.07 | Equations (1290) can reduce 982 to:
% 27.49/7.07 | (537) $false
% 27.49/7.07 |
% 27.49/7.07 |-The branch is then unsatisfiable
% 27.49/7.07 |-Branch two:
% 27.49/7.07 | (986) all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)
% 27.49/7.07 |
% 27.49/7.07 | Applying alpha-rule on (986) yields:
% 27.49/7.07 | (987) all_0_224_224 = e13
% 27.49/7.07 | (988) ~ (all_0_223_223 = e11)
% 27.49/7.07 | (989) ~ (all_0_225_225 = e13)
% 27.49/7.07 |
% 27.49/7.07 | Combining equations (919,987) yields a new equation:
% 27.49/7.07 | (862) e13 = e10
% 27.49/7.07 |
% 27.49/7.07 | Equations (862) can reduce 210 to:
% 27.49/7.07 | (537) $false
% 27.49/7.07 |
% 27.49/7.07 |-The branch is then unsatisfiable
% 27.49/7.07 |-Branch two:
% 27.49/7.07 | (992) all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)
% 27.49/7.07 |
% 27.49/7.07 | Applying alpha-rule on (992) yields:
% 27.49/7.07 | (993) all_0_227_227 = e12
% 27.49/7.07 | (994) ~ (all_0_226_226 = e11)
% 27.49/7.07 | (995) ~ (all_0_228_228 = e12)
% 27.49/7.07 |
% 27.49/7.07 | Combining equations (1329,993) yields a new equation:
% 27.49/7.07 | (832) e13 = e12
% 27.49/7.07 |
% 27.49/7.07 | Simplifying 832 yields:
% 27.49/7.07 | (833) e13 = e12
% 27.49/7.07 |
% 27.49/7.07 | Equations (833) can reduce 305 to:
% 27.49/7.07 | (537) $false
% 27.49/7.07 |
% 27.49/7.07 |-The branch is then unsatisfiable
% 27.49/7.07 |-Branch two:
% 27.49/7.07 | (997) all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10)
% 27.49/7.07 |
% 27.49/7.07 | Applying alpha-rule on (997) yields:
% 27.49/7.07 | (998) all_0_232_232 = e10
% 27.49/7.07 | (999) ~ (all_0_231_231 = e11)
% 27.49/7.07 | (1000) ~ (all_0_233_233 = e10)
% 27.49/7.07 |
% 27.49/7.07 | Combining equations (998,1302) yields a new equation:
% 27.49/7.07 | (952) e12 = e10
% 27.49/7.07 |
% 27.49/7.07 | Equations (952) can reduce 8 to:
% 27.49/7.07 | (537) $false
% 27.49/7.07 |
% 27.49/7.07 |-The branch is then unsatisfiable
% 27.49/7.07 |-Branch two:
% 27.49/7.07 | (1004) all_0_249_249 = e11 & ~ (all_0_248_248 = e10)
% 27.49/7.07 |
% 27.49/7.07 | Applying alpha-rule on (1004) yields:
% 27.49/7.07 | (1005) all_0_249_249 = e11
% 27.49/7.07 | (905) ~ (all_0_248_248 = e10)
% 27.49/7.07 |
% 27.49/7.07 | Combining equations (1005,861) yields a new equation:
% 27.49/7.07 | (867) e11 = e10
% 27.49/7.07 |
% 27.49/7.07 | Simplifying 867 yields:
% 27.49/7.07 | (868) e11 = e10
% 27.49/7.07 |
% 27.49/7.07 | Equations (868) can reduce 293 to:
% 27.49/7.07 | (537) $false
% 27.49/7.07 |
% 27.49/7.07 |-The branch is then unsatisfiable
% 27.49/7.07 |-Branch two:
% 27.49/7.07 | (1020) ~ (all_0_252_252 = e10)
% 27.49/7.07 | (1021) all_0_256_256 = e10
% 27.49/7.07 |
% 27.49/7.07 | Combining equations (741,1021) yields a new equation:
% 27.49/7.07 | (867) e11 = e10
% 27.49/7.07 |
% 27.49/7.07 | Simplifying 867 yields:
% 27.49/7.07 | (868) e11 = e10
% 27.49/7.07 |
% 27.49/7.07 | Equations (868) can reduce 293 to:
% 27.49/7.07 | (537) $false
% 27.49/7.07 |
% 27.49/7.07 |-The branch is then unsatisfiable
% 27.49/7.07 |-Branch two:
% 27.49/7.07 | (1010) ~ (all_0_251_251 = e12)
% 27.49/7.07 | (1403) all_0_255_255 = e12
% 27.49/7.07 |
% 27.49/7.07 | Equations (1403) can reduce 800 to:
% 27.49/7.07 | (537) $false
% 27.49/7.07 |
% 27.49/7.07 |-The branch is then unsatisfiable
% 27.49/7.07 |-Branch two:
% 27.49/7.07 | (1405) ~ (all_0_247_247 = e13)
% 27.49/7.07 | (1406) all_0_251_251 = e13 | all_0_255_255 = e13
% 27.49/7.07 |
% 27.49/7.07 +-Applying beta-rule and splitting (836), into two cases.
% 27.49/7.07 |-Branch one:
% 27.49/7.07 | (839) all_0_255_255 = e13
% 27.49/7.07 |
% 27.49/7.07 | Equations (839) can reduce 1189 to:
% 27.49/7.07 | (537) $false
% 27.49/7.07 |
% 27.49/7.07 |-The branch is then unsatisfiable
% 27.49/7.07 |-Branch two:
% 27.49/7.07 | (1189) ~ (all_0_255_255 = e13)
% 27.49/7.07 | (1187) all_0_257_257 = e13
% 27.49/7.07 |
% 27.49/7.07 | Equations (1187) can reduce 386 to:
% 27.49/7.07 | (1189) ~ (all_0_255_255 = e13)
% 27.49/7.07 |
% 27.49/7.07 +-Applying beta-rule and splitting (1406), into two cases.
% 27.49/7.07 |-Branch one:
% 27.49/7.07 | (929) all_0_251_251 = e13
% 27.49/7.07 |
% 27.49/7.07 | Equations (929) can reduce 778 to:
% 27.49/7.07 | (537) $false
% 27.49/7.07 |
% 27.49/7.07 |-The branch is then unsatisfiable
% 27.49/7.07 |-Branch two:
% 27.49/7.07 | (778) ~ (all_0_251_251 = e13)
% 27.49/7.07 | (839) all_0_255_255 = e13
% 27.49/7.07 |
% 27.49/7.07 | Equations (839) can reduce 1189 to:
% 27.49/7.07 | (537) $false
% 27.49/7.07 |
% 27.49/7.07 |-The branch is then unsatisfiable
% 27.49/7.07 |-Branch two:
% 27.49/7.07 | (1417) ~ (all_0_250_250 = e13)
% 27.49/7.07 | (1418) all_0_251_251 = e13 | all_0_253_253 = e13
% 27.49/7.07 |
% 27.49/7.07 +-Applying beta-rule and splitting (719), into two cases.
% 27.49/7.07 |-Branch one:
% 27.49/7.07 | (776) all_0_250_250 = e13
% 27.49/7.07 |
% 27.49/7.07 | Equations (776) can reduce 1417 to:
% 27.49/7.07 | (537) $false
% 27.49/7.07 |
% 27.49/7.07 |-The branch is then unsatisfiable
% 27.49/7.07 |-Branch two:
% 27.49/7.07 | (1417) ~ (all_0_250_250 = e13)
% 27.49/7.07 | (1152) all_0_250_250 = e12
% 27.49/7.07 |
% 27.49/7.07 | Equations (1152) can reduce 147 to:
% 27.49/7.07 | (1240) ~ (all_0_252_252 = e12)
% 27.49/7.07 |
% 27.49/7.07 | Simplifying 1240 yields:
% 27.49/7.07 | (1147) ~ (all_0_252_252 = e12)
% 27.49/7.07 |
% 27.49/7.07 | Equations (1152) can reduce 378 to:
% 27.49/7.07 | (1425) ~ (all_0_254_254 = e12)
% 27.49/7.07 |
% 27.49/7.07 | Simplifying 1425 yields:
% 27.49/7.07 | (1426) ~ (all_0_254_254 = e12)
% 27.49/7.07 |
% 27.49/7.07 | Equations (1152) can reduce 695 to:
% 27.49/7.07 | (113) ~ (e12 = e11)
% 27.49/7.07 |
% 27.49/7.07 | From (1152) and (120) follows:
% 27.49/7.07 | (1428) op1(e12, e13) = all_0_212_212
% 27.49/7.07 |
% 27.49/7.07 | From (1152) and (103) follows:
% 27.49/7.07 | (1429) op1(e12, e12) = all_0_213_213
% 27.49/7.07 |
% 27.49/7.07 | From (1152) and (173) follows:
% 27.49/7.07 | (1430) op1(e12, e12) = all_0_214_214
% 27.49/7.07 |
% 27.49/7.07 | From (1152) and (284) follows:
% 27.49/7.07 | (1431) op1(e12, e13) = e12
% 27.49/7.07 |
% 27.49/7.07 +-Applying beta-rule and splitting (433), into two cases.
% 27.49/7.07 |-Branch one:
% 27.49/7.07 | (927) all_0_248_248 = e12
% 27.49/7.07 |
% 27.49/7.07 | Equations (927) can reduce 153 to:
% 27.49/7.07 | (1240) ~ (all_0_252_252 = e12)
% 27.49/7.07 |
% 27.49/7.07 | Simplifying 1240 yields:
% 27.49/7.07 | (1147) ~ (all_0_252_252 = e12)
% 27.49/7.07 |
% 27.49/7.07 | Equations (927) can reduce 724 to:
% 27.49/7.07 | (113) ~ (e12 = e11)
% 27.49/7.07 |
% 27.49/7.07 | From (927) and (410) follows:
% 27.49/7.07 | (928) op1(e12, e13) = all_0_207_207
% 27.49/7.07 |
% 27.49/7.07 | From (927) and (170) follows:
% 27.49/7.07 | (1437) op1(e12, e11) = all_0_206_206
% 27.49/7.07 |
% 27.49/7.07 | From (927) and (24) follows:
% 27.49/7.07 | (1246) op1(e13, e11) = e12
% 27.49/7.07 |
% 27.49/7.07 | From (927) and (50) follows:
% 27.49/7.07 | (1439) op1(e12, e12) = all_0_171_171
% 27.49/7.07 |
% 27.49/7.07 +-Applying beta-rule and splitting (329), into two cases.
% 27.49/7.07 |-Branch one:
% 27.49/7.07 | (798) all_0_254_254 = e12
% 27.49/7.07 |
% 27.49/7.07 | Equations (798) can reduce 1426 to:
% 27.49/7.07 | (537) $false
% 27.49/7.07 |
% 27.49/7.07 |-The branch is then unsatisfiable
% 27.49/7.07 |-Branch two:
% 27.49/7.07 | (1426) ~ (all_0_254_254 = e12)
% 27.49/7.07 | (1443) all_0_255_255 = e12 | all_0_256_256 = e12
% 27.49/7.07 |
% 27.49/7.07 +-Applying beta-rule and splitting (1418), into two cases.
% 27.49/7.07 |-Branch one:
% 27.49/7.07 | (929) all_0_251_251 = e13
% 27.49/7.07 |
% 27.49/7.07 | Equations (929) can reduce 296 to:
% 27.49/7.07 | (1405) ~ (all_0_247_247 = e13)
% 27.49/7.07 |
% 27.49/7.07 | Equations (929) can reduce 108 to:
% 27.49/7.07 | (446) ~ (e13 = e11)
% 27.49/7.07 |
% 27.49/7.07 | From (929) and (239) follows:
% 27.49/7.07 | (1447) op1(e13, e13) = all_0_180_180
% 27.49/7.07 |
% 27.49/7.07 | From (929) and (238) follows:
% 27.49/7.07 | (1448) op1(e12, e13) = all_0_216_216
% 27.49/7.07 |
% 27.49/7.07 | From (929) and (89) follows:
% 27.49/7.07 | (1449) op1(e12, e12) = e13
% 27.49/7.07 |
% 27.49/7.07 | From (929) and (275) follows:
% 27.49/7.07 | (1450) op1(e10, e13) = all_0_182_182
% 27.49/7.07 |
% 27.49/7.07 +-Applying beta-rule and splitting (286), into two cases.
% 27.49/7.07 |-Branch one:
% 27.49/7.07 | (1191) all_0_247_247 = e13
% 27.49/7.07 |
% 27.49/7.07 | Equations (1191) can reduce 1405 to:
% 27.49/7.07 | (537) $false
% 27.49/7.07 |
% 27.49/7.07 |-The branch is then unsatisfiable
% 27.49/7.07 |-Branch two:
% 27.49/7.07 | (1405) ~ (all_0_247_247 = e13)
% 27.49/7.07 | (1454) all_0_247_247 = e12 | all_0_247_247 = e10
% 27.49/7.07 |
% 27.49/7.07 +-Applying beta-rule and splitting (77), into two cases.
% 27.49/7.07 |-Branch one:
% 27.49/7.07 | (791) all_0_254_254 = e11
% 27.49/7.07 |
% 27.49/7.07 | Equations (791) can reduce 744 to:
% 27.49/7.07 | (537) $false
% 27.49/7.07 |
% 27.49/7.07 |-The branch is then unsatisfiable
% 27.49/7.07 |-Branch two:
% 27.49/7.07 | (744) ~ (all_0_254_254 = e11)
% 27.49/7.07 | (794) all_0_254_254 = e13 | all_0_254_254 = e12
% 27.49/7.07 |
% 27.49/7.07 +-Applying beta-rule and splitting (372), into two cases.
% 27.49/7.07 |-Branch one:
% 27.49/7.07 | (1011) all_0_251_251 = e10
% 27.49/7.07 |
% 27.49/7.07 | Combining equations (929,1011) yields a new equation:
% 27.49/7.07 | (983) e13 = e10
% 27.49/7.07 |
% 27.49/7.07 | Simplifying 983 yields:
% 27.49/7.07 | (862) e13 = e10
% 27.49/7.07 |
% 27.49/7.07 | Equations (862) can reduce 210 to:
% 27.49/7.07 | (537) $false
% 27.49/7.07 |
% 27.49/7.07 |-The branch is then unsatisfiable
% 27.49/7.07 |-Branch two:
% 27.49/7.07 | (921) ~ (all_0_251_251 = e10)
% 27.49/7.07 | (1226) all_0_252_252 = e10 | all_0_253_253 = e10
% 27.49/7.07 |
% 27.49/7.07 +-Applying beta-rule and splitting (231), into two cases.
% 27.49/7.07 |-Branch one:
% 27.49/7.07 | (1465) all_0_246_246 = e13
% 27.49/7.07 |
% 27.49/7.08 | Combining equations (1465,720) yields a new equation:
% 27.49/7.08 | (958) e13 = e11
% 27.49/7.08 |
% 27.49/7.08 | Simplifying 958 yields:
% 27.49/7.08 | (959) e13 = e11
% 27.49/7.08 |
% 27.49/7.08 | Equations (959) can reduce 446 to:
% 27.49/7.08 | (537) $false
% 27.49/7.08 |
% 27.49/7.08 |-The branch is then unsatisfiable
% 27.49/7.08 |-Branch two:
% 27.49/7.08 | (1469) ~ (all_0_246_246 = e13)
% 27.49/7.08 | (1470) all_0_247_247 = e13 | all_0_249_249 = e13
% 27.49/7.08 |
% 27.49/7.08 +-Applying beta-rule and splitting (1443), into two cases.
% 27.49/7.08 |-Branch one:
% 27.49/7.08 | (1403) all_0_255_255 = e12
% 27.49/7.08 |
% 27.49/7.08 | Combining equations (1403,708) yields a new equation:
% 27.49/7.08 | (1472) all_0_221_221 = e12
% 27.49/7.08 |
% 27.49/7.08 | Equations (1403) can reduce 240 to:
% 27.49/7.08 | (1150) ~ (all_0_247_247 = e12)
% 27.49/7.08 |
% 27.49/7.08 | Equations (1403) can reduce 12 to:
% 27.49/7.08 | (1426) ~ (all_0_254_254 = e12)
% 27.49/7.08 |
% 27.49/7.08 | Equations (1403) can reduce 386 to:
% 27.49/7.08 | (801) ~ (all_0_257_257 = e12)
% 27.49/7.08 |
% 27.49/7.08 | Simplifying 801 yields:
% 27.49/7.08 | (384) ~ (all_0_257_257 = e12)
% 27.49/7.08 |
% 27.49/7.08 | Equations (1403) can reduce 134 to:
% 27.49/7.08 | (113) ~ (e12 = e11)
% 27.49/7.08 |
% 27.49/7.08 | From (1403) and (437) follows:
% 27.49/7.08 | (1478) op1(e12, e12) = all_0_226_226
% 27.49/7.08 |
% 27.49/7.08 | From (1403) and (299) follows:
% 27.49/7.08 | (1479) op1(e12, e11) = all_0_227_227
% 27.49/7.08 |
% 27.49/7.08 | From (1403) and (339) follows:
% 27.49/7.08 | (1480) op1(e12, e12) = all_0_193_193
% 27.49/7.08 |
% 27.49/7.08 +-Applying beta-rule and splitting (1226), into two cases.
% 27.49/7.08 |-Branch one:
% 27.49/7.08 | (918) all_0_252_252 = e10
% 27.49/7.08 |
% 27.49/7.08 | Equations (918) can reduce 1147 to:
% 27.49/7.08 | (874) ~ (e12 = e10)
% 27.49/7.08 |
% 27.49/7.08 | Simplifying 874 yields:
% 27.49/7.08 | (8) ~ (e12 = e10)
% 27.49/7.08 |
% 27.49/7.08 | From (918) and (319) follows:
% 27.49/7.08 | (1297) op1(e10, e11) = all_0_217_217
% 27.49/7.08 |
% 27.49/7.08 | From (918) and (435) follows:
% 27.49/7.08 | (926) op1(e12, e10) = all_0_219_219
% 27.49/7.08 |
% 27.49/7.08 | From (918) and (136) follows:
% 27.49/7.08 | (1486) op1(e12, e11) = e10
% 27.49/7.08 |
% 27.49/7.08 +-Applying beta-rule and splitting (1470), into two cases.
% 27.49/7.08 |-Branch one:
% 27.49/7.08 | (1191) all_0_247_247 = e13
% 27.49/7.08 |
% 27.49/7.08 | Equations (1191) can reduce 1405 to:
% 27.49/7.08 | (537) $false
% 27.49/7.08 |
% 27.49/7.08 |-The branch is then unsatisfiable
% 27.49/7.08 |-Branch two:
% 27.49/7.08 | (1405) ~ (all_0_247_247 = e13)
% 27.49/7.08 | (850) all_0_249_249 = e13
% 27.49/7.08 |
% 27.49/7.08 | From (850) and (375) follows:
% 27.49/7.08 | (856) op1(e13, e13) = all_0_210_210
% 27.49/7.08 |
% 27.49/7.08 | From (850) and (348) follows:
% 27.49/7.08 | (858) op1(e12, e13) = all_0_174_174
% 27.49/7.08 |
% 27.49/7.08 | From (850) and (282) follows:
% 27.49/7.08 | (860) op1(e10, e13) = all_0_176_176
% 27.49/7.08 |
% 27.49/7.08 +-Applying beta-rule and splitting (53), into two cases.
% 27.49/7.08 |-Branch one:
% 27.49/7.08 | (1178) all_0_255_255 = e10
% 27.49/7.08 |
% 27.49/7.08 | Combining equations (1403,1178) yields a new equation:
% 27.49/7.08 | (1159) e12 = e10
% 27.49/7.08 |
% 27.49/7.08 | Simplifying 1159 yields:
% 27.49/7.08 | (952) e12 = e10
% 27.49/7.08 |
% 27.49/7.08 | Equations (952) can reduce 8 to:
% 27.49/7.08 | (537) $false
% 27.49/7.08 |
% 27.49/7.08 |-The branch is then unsatisfiable
% 27.49/7.08 |-Branch two:
% 27.49/7.08 | (1498) ~ (all_0_255_255 = e10)
% 27.49/7.08 | (1499) all_0_256_256 = e10 | all_0_257_257 = e10
% 27.49/7.08 |
% 27.49/7.08 +-Applying beta-rule and splitting (454), into two cases.
% 27.49/7.08 |-Branch one:
% 27.49/7.08 | (902) all_0_247_247 = e10
% 27.49/7.08 |
% 27.49/7.08 | Equations (902) can reduce 101 to:
% 27.49/7.08 | (906) ~ (e11 = e10)
% 27.49/7.08 |
% 27.49/7.08 | Simplifying 906 yields:
% 27.49/7.08 | (293) ~ (e11 = e10)
% 27.49/7.08 |
% 27.49/7.08 | From (902) and (289) follows:
% 27.49/7.08 | (908) op1(e10, e13) = all_0_204_204
% 27.49/7.08 |
% 27.49/7.08 | From (902) and (117) follows:
% 27.49/7.08 | (909) op1(e12, e10) = all_0_168_168
% 27.49/7.08 |
% 27.49/7.08 +-Applying beta-rule and splitting (185), into two cases.
% 27.49/7.08 |-Branch one:
% 27.49/7.08 | (1505) all_0_257_257 = e11
% 27.49/7.08 |
% 27.49/7.08 | Equations (1505) can reduce 747 to:
% 27.49/7.08 | (537) $false
% 27.49/7.08 |
% 27.49/7.08 |-The branch is then unsatisfiable
% 27.49/7.08 |-Branch two:
% 27.49/7.08 | (747) ~ (all_0_257_257 = e11)
% 27.49/7.08 | (1508) all_0_257_257 = e13 | all_0_257_257 = e10
% 27.49/7.08 |
% 27.49/7.08 +-Applying beta-rule and splitting (251), into two cases.
% 27.49/7.08 |-Branch one:
% 27.49/7.08 | (795) all_0_254_254 = e13
% 27.49/7.08 |
% 27.49/7.08 | Equations (795) can reduce 242 to:
% 27.49/7.08 | (842) ~ (all_0_257_257 = e13)
% 27.49/7.08 |
% 27.49/7.08 | Simplifying 842 yields:
% 27.49/7.08 | (843) ~ (all_0_257_257 = e13)
% 27.49/7.08 |
% 27.49/7.08 | Equations (795) can reduce 1426 to:
% 27.49/7.08 | (305) ~ (e13 = e12)
% 27.49/7.08 |
% 27.49/7.08 | Equations (795) can reduce 744 to:
% 27.49/7.08 | (446) ~ (e13 = e11)
% 27.49/7.08 |
% 27.49/7.08 | From (795) and (301) follows:
% 27.49/7.08 | (1514) op1(e13, e11) = all_0_224_224
% 27.49/7.08 |
% 27.49/7.08 | From (795) and (420) follows:
% 27.49/7.08 | (1515) op1(e13, e13) = all_0_189_189
% 27.49/7.08 |
% 27.49/7.08 | From (795) and (104) follows:
% 27.49/7.08 | (1516) op1(e12, e13) = all_0_190_190
% 27.49/7.08 |
% 27.49/7.08 | From (795) and (243) follows:
% 27.49/7.08 | (1517) op1(e10, e13) = all_0_191_191
% 27.49/7.08 |
% 27.49/7.08 +-Applying beta-rule and splitting (1499), into two cases.
% 27.49/7.08 |-Branch one:
% 27.49/7.08 | (1021) all_0_256_256 = e10
% 27.49/7.08 |
% 27.49/7.08 | Combining equations (1021,741) yields a new equation:
% 27.49/7.08 | (868) e11 = e10
% 27.49/7.08 |
% 27.49/7.08 | Equations (868) can reduce 293 to:
% 27.49/7.08 | (537) $false
% 27.49/7.08 |
% 27.49/7.08 |-The branch is then unsatisfiable
% 27.49/7.08 |-Branch two:
% 27.49/7.08 | (1521) ~ (all_0_256_256 = e10)
% 27.49/7.08 | (871) all_0_257_257 = e10
% 27.49/7.08 |
% 27.49/7.08 | Equations (871) can reduce 843 to:
% 27.49/7.08 | (872) ~ (e13 = e10)
% 27.64/7.08 |
% 27.64/7.08 | Simplifying 872 yields:
% 27.64/7.08 | (210) ~ (e13 = e10)
% 27.64/7.08 |
% 27.64/7.08 | Equations (871) can reduce 384 to:
% 27.64/7.08 | (874) ~ (e12 = e10)
% 27.64/7.08 |
% 27.64/7.08 | Simplifying 874 yields:
% 27.64/7.08 | (8) ~ (e12 = e10)
% 27.64/7.08 |
% 27.64/7.08 | Equations (871) can reduce 747 to:
% 27.64/7.08 | (906) ~ (e11 = e10)
% 27.64/7.08 |
% 27.64/7.08 | Simplifying 906 yields:
% 27.64/7.08 | (293) ~ (e11 = e10)
% 27.64/7.08 |
% 27.64/7.08 | From (871) and (148) follows:
% 27.64/7.08 | (876) op1(e10, e11) = all_0_232_232
% 27.64/7.08 |
% 27.64/7.08 | From (871) and (121) follows:
% 27.64/7.08 | (877) op1(e12, e10) = all_0_199_199
% 27.64/7.08 |
% 27.64/7.08 | Instantiating formula (144) with e13, e13, all_0_180_180, e11 and discharging atoms op1(e13, e13) = all_0_180_180, op1(e13, e13) = e11, yields:
% 27.64/7.08 | (1531) all_0_180_180 = e11
% 27.64/7.08 |
% 27.64/7.08 | Instantiating formula (144) with e13, e13, all_0_189_189, all_0_180_180 and discharging atoms op1(e13, e13) = all_0_180_180, op1(e13, e13) = all_0_189_189, yields:
% 27.64/7.08 | (1532) all_0_180_180 = all_0_189_189
% 27.64/7.08 |
% 27.64/7.08 | Instantiating formula (144) with e13, e13, all_0_210_210, all_0_189_189 and discharging atoms op1(e13, e13) = all_0_189_189, op1(e13, e13) = all_0_210_210, yields:
% 27.64/7.08 | (1533) all_0_189_189 = all_0_210_210
% 27.64/7.08 |
% 27.64/7.08 | Instantiating formula (144) with e13, e11, e12, all_0_224_224 and discharging atoms op1(e13, e11) = all_0_224_224, op1(e13, e11) = e12, yields:
% 27.64/7.08 | (1057) all_0_224_224 = e12
% 27.64/7.08 |
% 27.64/7.08 | Instantiating formula (144) with e12, e13, all_0_190_190, all_0_174_174 and discharging atoms op1(e12, e13) = all_0_174_174, op1(e12, e13) = all_0_190_190, yields:
% 27.64/7.08 | (1535) all_0_174_174 = all_0_190_190
% 27.64/7.08 |
% 27.64/7.08 | Instantiating formula (144) with e12, e13, all_0_207_207, all_0_190_190 and discharging atoms op1(e12, e13) = all_0_190_190, op1(e12, e13) = all_0_207_207, yields:
% 27.64/7.08 | (1536) all_0_190_190 = all_0_207_207
% 27.64/7.08 |
% 27.64/7.08 | Instantiating formula (144) with e12, e13, all_0_212_212, all_0_207_207 and discharging atoms op1(e12, e13) = all_0_207_207, op1(e12, e13) = all_0_212_212, yields:
% 27.64/7.08 | (1537) all_0_207_207 = all_0_212_212
% 27.64/7.08 |
% 27.64/7.08 | Instantiating formula (144) with e12, e13, all_0_216_216, all_0_174_174 and discharging atoms op1(e12, e13) = all_0_174_174, op1(e12, e13) = all_0_216_216, yields:
% 27.64/7.08 | (1538) all_0_174_174 = all_0_216_216
% 27.64/7.08 |
% 27.64/7.08 | Instantiating formula (144) with e12, e13, e12, all_0_212_212 and discharging atoms op1(e12, e13) = all_0_212_212, op1(e12, e13) = e12, yields:
% 27.64/7.08 | (1539) all_0_212_212 = e12
% 27.64/7.08 |
% 27.64/7.08 | Instantiating formula (144) with e12, e12, all_0_193_193, all_0_171_171 and discharging atoms op1(e12, e12) = all_0_171_171, op1(e12, e12) = all_0_193_193, yields:
% 27.64/7.08 | (1540) all_0_171_171 = all_0_193_193
% 27.64/7.08 |
% 27.64/7.08 | Instantiating formula (144) with e12, e12, all_0_213_213, all_0_171_171 and discharging atoms op1(e12, e12) = all_0_171_171, op1(e12, e12) = all_0_213_213, yields:
% 27.64/7.08 | (1541) all_0_171_171 = all_0_213_213
% 27.64/7.08 |
% 27.64/7.08 | Instantiating formula (144) with e12, e12, all_0_214_214, all_0_213_213 and discharging atoms op1(e12, e12) = all_0_213_213, op1(e12, e12) = all_0_214_214, yields:
% 27.64/7.08 | (1542) all_0_213_213 = all_0_214_214
% 27.64/7.08 |
% 27.64/7.08 | Instantiating formula (144) with e12, e12, all_0_226_226, all_0_171_171 and discharging atoms op1(e12, e12) = all_0_171_171, op1(e12, e12) = all_0_226_226, yields:
% 27.64/7.08 | (1543) all_0_171_171 = all_0_226_226
% 27.64/7.08 |
% 27.64/7.08 | Instantiating formula (144) with e12, e12, e13, all_0_214_214 and discharging atoms op1(e12, e12) = all_0_214_214, op1(e12, e12) = e13, yields:
% 27.64/7.08 | (816) all_0_214_214 = e13
% 27.64/7.08 |
% 27.64/7.08 | Instantiating formula (144) with e12, e11, all_0_227_227, all_0_206_206 and discharging atoms op1(e12, e11) = all_0_206_206, op1(e12, e11) = all_0_227_227, yields:
% 27.64/7.08 | (1545) all_0_206_206 = all_0_227_227
% 27.64/7.08 |
% 27.64/7.08 | Instantiating formula (144) with e12, e11, e10, all_0_206_206 and discharging atoms op1(e12, e11) = all_0_206_206, op1(e12, e11) = e10, yields:
% 27.64/7.08 | (1546) all_0_206_206 = e10
% 27.64/7.08 |
% 27.64/7.08 | Instantiating formula (144) with e12, e10, all_0_199_199, e11 and discharging atoms op1(e12, e10) = all_0_199_199, op1(e12, e10) = e11, yields:
% 27.64/7.08 | (884) all_0_199_199 = e11
% 27.64/7.08 |
% 27.64/7.08 | Instantiating formula (144) with e12, e10, all_0_199_199, all_0_168_168 and discharging atoms op1(e12, e10) = all_0_168_168, op1(e12, e10) = all_0_199_199, yields:
% 27.64/7.08 | (1308) all_0_168_168 = all_0_199_199
% 27.64/7.08 |
% 27.64/7.08 | Instantiating formula (144) with e12, e10, all_0_219_219, all_0_168_168 and discharging atoms op1(e12, e10) = all_0_168_168, op1(e12, e10) = all_0_219_219, yields:
% 27.64/7.08 | (937) all_0_168_168 = all_0_219_219
% 27.64/7.08 |
% 27.64/7.08 | Instantiating formula (144) with e10, e13, all_0_176_176, e10 and discharging atoms op1(e10, e13) = all_0_176_176, op1(e10, e13) = e10, yields:
% 27.64/7.08 | (887) all_0_176_176 = e10
% 27.64/7.08 |
% 27.64/7.08 | Instantiating formula (144) with e10, e13, all_0_182_182, all_0_176_176 and discharging atoms op1(e10, e13) = all_0_176_176, op1(e10, e13) = all_0_182_182, yields:
% 27.64/7.08 | (1551) all_0_176_176 = all_0_182_182
% 27.64/7.08 |
% 27.64/7.08 | Instantiating formula (144) with e10, e13, all_0_191_191, all_0_176_176 and discharging atoms op1(e10, e13) = all_0_176_176, op1(e10, e13) = all_0_191_191, yields:
% 27.64/7.09 | (1552) all_0_176_176 = all_0_191_191
% 27.64/7.09 |
% 27.64/7.09 | Instantiating formula (144) with e10, e13, all_0_204_204, all_0_191_191 and discharging atoms op1(e10, e13) = all_0_191_191, op1(e10, e13) = all_0_204_204, yields:
% 27.64/7.09 | (1553) all_0_191_191 = all_0_204_204
% 27.64/7.09 |
% 27.64/7.09 | Instantiating formula (144) with e10, e11, all_0_217_217, e13 and discharging atoms op1(e10, e11) = all_0_217_217, op1(e10, e11) = e13, yields:
% 27.64/7.09 | (1313) all_0_217_217 = e13
% 27.64/7.09 |
% 27.64/7.09 | Instantiating formula (144) with e10, e11, all_0_232_232, all_0_217_217 and discharging atoms op1(e10, e11) = all_0_217_217, op1(e10, e11) = all_0_232_232, yields:
% 27.64/7.09 | (1555) all_0_217_217 = all_0_232_232
% 27.64/7.09 |
% 27.64/7.09 | Combining equations (1308,937) yields a new equation:
% 27.64/7.09 | (1556) all_0_199_199 = all_0_219_219
% 27.64/7.09 |
% 27.64/7.09 | Simplifying 1556 yields:
% 27.64/7.09 | (1557) all_0_199_199 = all_0_219_219
% 27.64/7.09 |
% 27.64/7.09 | Combining equations (1541,1540) yields a new equation:
% 27.64/7.09 | (1558) all_0_193_193 = all_0_213_213
% 27.64/7.09 |
% 27.64/7.09 | Combining equations (1543,1540) yields a new equation:
% 27.64/7.09 | (1559) all_0_193_193 = all_0_226_226
% 27.64/7.09 |
% 27.64/7.09 | Combining equations (1535,1538) yields a new equation:
% 27.64/7.09 | (1560) all_0_190_190 = all_0_216_216
% 27.64/7.09 |
% 27.64/7.09 | Simplifying 1560 yields:
% 27.64/7.09 | (1561) all_0_190_190 = all_0_216_216
% 27.64/7.09 |
% 27.64/7.09 | Combining equations (887,1551) yields a new equation:
% 27.64/7.09 | (1562) all_0_182_182 = e10
% 27.64/7.09 |
% 27.64/7.09 | Combining equations (1552,1551) yields a new equation:
% 27.64/7.09 | (1563) all_0_182_182 = all_0_191_191
% 27.64/7.09 |
% 27.64/7.09 | Combining equations (1532,1531) yields a new equation:
% 27.64/7.09 | (1564) all_0_189_189 = e11
% 27.64/7.09 |
% 27.64/7.09 | Simplifying 1564 yields:
% 27.64/7.09 | (1565) all_0_189_189 = e11
% 27.64/7.09 |
% 27.64/7.09 | Combining equations (1563,1562) yields a new equation:
% 27.64/7.09 | (1566) all_0_191_191 = e10
% 27.64/7.09 |
% 27.64/7.09 | Simplifying 1566 yields:
% 27.64/7.09 | (1567) all_0_191_191 = e10
% 27.64/7.09 |
% 27.64/7.09 | Combining equations (1533,1565) yields a new equation:
% 27.64/7.09 | (1568) all_0_210_210 = e11
% 27.64/7.09 |
% 27.64/7.09 | Simplifying 1568 yields:
% 27.64/7.09 | (878) all_0_210_210 = e11
% 27.64/7.09 |
% 27.64/7.09 | Combining equations (1536,1561) yields a new equation:
% 27.64/7.09 | (1570) all_0_207_207 = all_0_216_216
% 27.64/7.09 |
% 27.64/7.09 | Simplifying 1570 yields:
% 27.64/7.09 | (1571) all_0_207_207 = all_0_216_216
% 27.64/7.09 |
% 27.64/7.09 | Combining equations (1553,1567) yields a new equation:
% 27.64/7.09 | (1572) all_0_204_204 = e10
% 27.64/7.09 |
% 27.64/7.09 | Simplifying 1572 yields:
% 27.64/7.09 | (938) all_0_204_204 = e10
% 27.64/7.09 |
% 27.64/7.09 | Combining equations (1558,1559) yields a new equation:
% 27.64/7.09 | (1574) all_0_213_213 = all_0_226_226
% 27.64/7.09 |
% 27.64/7.09 | Simplifying 1574 yields:
% 27.64/7.09 | (1575) all_0_213_213 = all_0_226_226
% 27.64/7.09 |
% 27.64/7.09 | Combining equations (884,1557) yields a new equation:
% 27.64/7.09 | (939) all_0_219_219 = e11
% 27.64/7.09 |
% 27.64/7.09 | Combining equations (1545,1546) yields a new equation:
% 27.64/7.09 | (1577) all_0_227_227 = e10
% 27.64/7.09 |
% 27.64/7.09 | Simplifying 1577 yields:
% 27.64/7.09 | (1036) all_0_227_227 = e10
% 27.64/7.09 |
% 27.64/7.09 | Combining equations (1537,1571) yields a new equation:
% 27.64/7.09 | (1579) all_0_212_212 = all_0_216_216
% 27.64/7.09 |
% 27.64/7.09 | Simplifying 1579 yields:
% 27.64/7.09 | (1580) all_0_212_212 = all_0_216_216
% 27.64/7.09 |
% 27.64/7.09 | Combining equations (1539,1580) yields a new equation:
% 27.64/7.09 | (1581) all_0_216_216 = e12
% 27.64/7.09 |
% 27.64/7.09 | Combining equations (1542,1575) yields a new equation:
% 27.64/7.09 | (1582) all_0_214_214 = all_0_226_226
% 27.64/7.09 |
% 27.64/7.09 | Simplifying 1582 yields:
% 27.64/7.09 | (1583) all_0_214_214 = all_0_226_226
% 27.64/7.09 |
% 27.64/7.09 | Combining equations (816,1583) yields a new equation:
% 27.64/7.09 | (1584) all_0_226_226 = e13
% 27.64/7.09 |
% 27.64/7.09 | Combining equations (1313,1555) yields a new equation:
% 27.64/7.09 | (889) all_0_232_232 = e13
% 27.64/7.09 |
% 27.64/7.09 | Combining equations (1584,1583) yields a new equation:
% 27.64/7.09 | (816) all_0_214_214 = e13
% 27.64/7.09 |
% 27.64/7.09 | Combining equations (1581,1571) yields a new equation:
% 27.64/7.09 | (1587) all_0_207_207 = e12
% 27.64/7.09 |
% 27.64/7.09 +-Applying beta-rule and splitting (257), into two cases.
% 27.64/7.09 |-Branch one:
% 27.64/7.09 | (940) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)) | (all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10))
% 27.64/7.09 |
% 27.64/7.09 +-Applying beta-rule and splitting (940), into two cases.
% 27.64/7.09 |-Branch one:
% 27.64/7.09 | (941) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12))
% 27.64/7.09 |
% 27.64/7.09 +-Applying beta-rule and splitting (941), into two cases.
% 27.64/7.09 |-Branch one:
% 27.64/7.09 | (942) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13))
% 27.64/7.09 |
% 27.64/7.09 +-Applying beta-rule and splitting (942), into two cases.
% 27.64/7.09 |-Branch one:
% 27.64/7.09 | (943) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10))
% 27.64/7.09 |
% 27.64/7.09 +-Applying beta-rule and splitting (943), into two cases.
% 27.64/7.09 |-Branch one:
% 27.64/7.09 | (944) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11))
% 27.64/7.09 |
% 27.64/7.09 +-Applying beta-rule and splitting (944), into two cases.
% 27.64/7.09 |-Branch one:
% 27.64/7.09 | (945) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13))
% 27.64/7.09 |
% 27.64/7.09 +-Applying beta-rule and splitting (945), into two cases.
% 27.64/7.09 |-Branch one:
% 27.64/7.09 | (946) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10))
% 27.64/7.09 |
% 27.64/7.09 +-Applying beta-rule and splitting (946), into two cases.
% 27.64/7.09 |-Branch one:
% 27.64/7.09 | (947) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11))
% 27.64/7.09 |
% 27.64/7.09 +-Applying beta-rule and splitting (947), into two cases.
% 27.64/7.09 |-Branch one:
% 27.64/7.09 | (948) all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)
% 27.64/7.09 |
% 27.64/7.09 | Applying alpha-rule on (948) yields:
% 27.64/7.09 | (949) all_0_204_204 = e12
% 27.64/7.09 | (950) ~ (all_0_203_203 = e13)
% 27.64/7.09 | (951) ~ (all_0_205_205 = e12)
% 27.64/7.09 |
% 27.64/7.09 | Combining equations (938,949) yields a new equation:
% 27.64/7.09 | (952) e12 = e10
% 27.64/7.09 |
% 27.64/7.09 | Equations (952) can reduce 8 to:
% 27.64/7.09 | (537) $false
% 27.64/7.09 |
% 27.64/7.09 |-The branch is then unsatisfiable
% 27.64/7.09 |-Branch two:
% 27.64/7.09 | (954) all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)
% 27.64/7.09 |
% 27.64/7.09 | Applying alpha-rule on (954) yields:
% 27.64/7.09 | (955) all_0_207_207 = e11
% 27.64/7.09 | (956) ~ (all_0_206_206 = e13)
% 27.64/7.09 | (957) ~ (all_0_208_208 = e11)
% 27.64/7.09 |
% 27.64/7.09 | Combining equations (1587,955) yields a new equation:
% 27.64/7.09 | (771) e12 = e11
% 27.64/7.09 |
% 27.64/7.09 | Simplifying 771 yields:
% 27.64/7.09 | (772) e12 = e11
% 27.64/7.09 |
% 27.64/7.09 | Equations (772) can reduce 113 to:
% 27.64/7.09 | (537) $false
% 27.64/7.09 |
% 27.64/7.09 |-The branch is then unsatisfiable
% 27.64/7.09 |-Branch two:
% 27.64/7.09 | (961) all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)
% 27.64/7.09 |
% 27.64/7.09 | Applying alpha-rule on (961) yields:
% 27.64/7.09 | (962) all_0_210_210 = e10
% 27.64/7.09 | (963) ~ (all_0_209_209 = e13)
% 27.64/7.09 | (964) ~ (all_0_211_211 = e10)
% 27.64/7.09 |
% 27.64/7.09 | Combining equations (878,962) yields a new equation:
% 27.64/7.09 | (867) e11 = e10
% 27.64/7.09 |
% 27.64/7.09 | Simplifying 867 yields:
% 27.64/7.09 | (868) e11 = e10
% 27.64/7.09 |
% 27.64/7.09 | Equations (868) can reduce 293 to:
% 27.64/7.09 | (537) $false
% 27.64/7.09 |
% 27.64/7.09 |-The branch is then unsatisfiable
% 27.64/7.09 |-Branch two:
% 27.64/7.09 | (968) all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)
% 27.64/7.09 |
% 27.64/7.09 | Applying alpha-rule on (968) yields:
% 27.64/7.09 | (969) all_0_213_213 = e13
% 27.64/7.09 | (970) ~ (all_0_212_212 = e12)
% 27.64/7.09 | (971) ~ (all_0_214_214 = e13)
% 27.64/7.09 |
% 27.64/7.09 | Equations (816) can reduce 971 to:
% 27.64/7.09 | (537) $false
% 27.64/7.09 |
% 27.64/7.09 |-The branch is then unsatisfiable
% 27.64/7.09 |-Branch two:
% 27.64/7.09 | (974) all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)
% 27.64/7.09 |
% 27.64/7.09 | Applying alpha-rule on (974) yields:
% 27.64/7.09 | (975) all_0_218_218 = e11
% 27.64/7.09 | (976) ~ (all_0_217_217 = e12)
% 27.64/7.09 | (977) ~ (all_0_219_219 = e11)
% 27.64/7.09 |
% 27.64/7.09 | Equations (939) can reduce 977 to:
% 27.64/7.09 | (537) $false
% 27.64/7.09 |
% 27.64/7.09 |-The branch is then unsatisfiable
% 27.64/7.09 |-Branch two:
% 27.64/7.09 | (979) all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)
% 27.64/7.09 |
% 27.64/7.09 | Applying alpha-rule on (979) yields:
% 27.64/7.09 | (980) all_0_221_221 = e10
% 27.64/7.10 | (981) ~ (all_0_220_220 = e12)
% 27.64/7.10 | (982) ~ (all_0_222_222 = e10)
% 27.64/7.10 |
% 27.64/7.10 | Combining equations (1472,980) yields a new equation:
% 27.64/7.10 | (1159) e12 = e10
% 27.64/7.10 |
% 27.64/7.10 | Simplifying 1159 yields:
% 27.64/7.10 | (952) e12 = e10
% 27.64/7.10 |
% 27.64/7.10 | Equations (952) can reduce 8 to:
% 27.64/7.10 | (537) $false
% 27.64/7.10 |
% 27.64/7.10 |-The branch is then unsatisfiable
% 27.64/7.10 |-Branch two:
% 27.64/7.10 | (986) all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)
% 27.64/7.10 |
% 27.64/7.10 | Applying alpha-rule on (986) yields:
% 27.64/7.10 | (987) all_0_224_224 = e13
% 27.64/7.10 | (988) ~ (all_0_223_223 = e11)
% 27.64/7.10 | (989) ~ (all_0_225_225 = e13)
% 27.64/7.10 |
% 27.64/7.10 | Combining equations (1057,987) yields a new equation:
% 27.64/7.10 | (833) e13 = e12
% 27.64/7.10 |
% 27.64/7.10 | Equations (833) can reduce 305 to:
% 27.64/7.10 | (537) $false
% 27.64/7.10 |
% 27.64/7.10 |-The branch is then unsatisfiable
% 27.64/7.10 |-Branch two:
% 27.64/7.10 | (992) all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)
% 27.64/7.10 |
% 27.64/7.10 | Applying alpha-rule on (992) yields:
% 27.64/7.10 | (993) all_0_227_227 = e12
% 27.64/7.10 | (994) ~ (all_0_226_226 = e11)
% 27.64/7.10 | (995) ~ (all_0_228_228 = e12)
% 27.64/7.10 |
% 27.64/7.10 | Combining equations (1036,993) yields a new equation:
% 27.64/7.10 | (952) e12 = e10
% 27.64/7.10 |
% 27.64/7.10 | Equations (952) can reduce 8 to:
% 27.64/7.10 | (537) $false
% 27.64/7.10 |
% 27.64/7.10 |-The branch is then unsatisfiable
% 27.64/7.10 |-Branch two:
% 27.64/7.10 | (997) all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10)
% 27.64/7.10 |
% 27.64/7.10 | Applying alpha-rule on (997) yields:
% 27.64/7.10 | (998) all_0_232_232 = e10
% 27.64/7.10 | (999) ~ (all_0_231_231 = e11)
% 27.64/7.10 | (1000) ~ (all_0_233_233 = e10)
% 27.64/7.10 |
% 27.64/7.10 | Combining equations (998,889) yields a new equation:
% 27.64/7.10 | (862) e13 = e10
% 27.64/7.10 |
% 27.64/7.10 | Equations (862) can reduce 210 to:
% 27.64/7.10 | (537) $false
% 27.64/7.10 |
% 27.64/7.10 |-The branch is then unsatisfiable
% 27.64/7.10 |-Branch two:
% 27.64/7.10 | (1004) all_0_249_249 = e11 & ~ (all_0_248_248 = e10)
% 27.64/7.10 |
% 27.64/7.10 | Applying alpha-rule on (1004) yields:
% 27.64/7.10 | (1005) all_0_249_249 = e11
% 27.64/7.10 | (905) ~ (all_0_248_248 = e10)
% 27.64/7.10 |
% 27.64/7.10 | Combining equations (1005,850) yields a new equation:
% 27.64/7.10 | (959) e13 = e11
% 27.64/7.10 |
% 27.64/7.10 | Equations (959) can reduce 446 to:
% 27.64/7.10 | (537) $false
% 27.64/7.10 |
% 27.64/7.10 |-The branch is then unsatisfiable
% 27.64/7.10 |-Branch two:
% 27.64/7.10 | (782) ~ (all_0_254_254 = e13)
% 27.64/7.10 | (836) all_0_255_255 = e13 | all_0_257_257 = e13
% 27.64/7.10 |
% 27.64/7.10 +-Applying beta-rule and splitting (794), into two cases.
% 27.64/7.10 |-Branch one:
% 27.64/7.10 | (795) all_0_254_254 = e13
% 27.64/7.10 |
% 27.64/7.10 | Equations (795) can reduce 782 to:
% 27.64/7.10 | (537) $false
% 27.64/7.10 |
% 27.64/7.10 |-The branch is then unsatisfiable
% 27.64/7.10 |-Branch two:
% 27.64/7.10 | (782) ~ (all_0_254_254 = e13)
% 27.64/7.10 | (798) all_0_254_254 = e12
% 27.64/7.10 |
% 27.64/7.10 | Equations (798) can reduce 1426 to:
% 27.64/7.10 | (537) $false
% 27.64/7.10 |
% 27.64/7.10 |-The branch is then unsatisfiable
% 27.64/7.10 |-Branch two:
% 27.64/7.10 | (1025) ~ (all_0_247_247 = e10)
% 27.64/7.10 | (1026) all_0_251_251 = e10 | all_0_255_255 = e10
% 27.64/7.10 |
% 27.64/7.10 +-Applying beta-rule and splitting (1454), into two cases.
% 27.64/7.10 |-Branch one:
% 27.64/7.10 | (1051) all_0_247_247 = e12
% 27.64/7.10 |
% 27.64/7.10 | Equations (1051) can reduce 1150 to:
% 27.64/7.10 | (537) $false
% 27.64/7.10 |
% 27.64/7.10 |-The branch is then unsatisfiable
% 27.64/7.10 |-Branch two:
% 27.64/7.10 | (1150) ~ (all_0_247_247 = e12)
% 27.64/7.10 | (902) all_0_247_247 = e10
% 27.64/7.10 |
% 27.64/7.10 | Equations (902) can reduce 1025 to:
% 27.64/7.10 | (537) $false
% 27.64/7.10 |
% 27.64/7.10 |-The branch is then unsatisfiable
% 27.64/7.10 |-Branch two:
% 27.64/7.10 | (1020) ~ (all_0_252_252 = e10)
% 27.64/7.10 | (866) all_0_253_253 = e10
% 27.64/7.10 |
% 27.64/7.10 | Combining equations (693,866) yields a new equation:
% 27.64/7.10 | (867) e11 = e10
% 27.64/7.10 |
% 27.64/7.10 | Simplifying 867 yields:
% 27.64/7.10 | (868) e11 = e10
% 27.64/7.10 |
% 27.64/7.10 | Equations (868) can reduce 293 to:
% 27.64/7.10 | (537) $false
% 27.64/7.10 |
% 27.64/7.10 |-The branch is then unsatisfiable
% 27.64/7.10 |-Branch two:
% 27.64/7.10 | (800) ~ (all_0_255_255 = e12)
% 27.64/7.10 | (1676) all_0_256_256 = e12
% 27.64/7.10 |
% 27.64/7.10 | Combining equations (741,1676) yields a new equation:
% 27.64/7.10 | (772) e12 = e11
% 27.64/7.10 |
% 27.64/7.10 | Equations (772) can reduce 113 to:
% 27.64/7.10 | (537) $false
% 27.64/7.10 |
% 27.64/7.10 |-The branch is then unsatisfiable
% 27.64/7.10 |-Branch two:
% 27.64/7.10 | (778) ~ (all_0_251_251 = e13)
% 27.64/7.10 | (1183) all_0_253_253 = e13
% 27.64/7.10 |
% 27.64/7.10 | Combining equations (693,1183) yields a new equation:
% 27.64/7.10 | (959) e13 = e11
% 27.64/7.10 |
% 27.64/7.10 | Equations (959) can reduce 446 to:
% 27.64/7.10 | (537) $false
% 27.64/7.10 |
% 27.64/7.10 |-The branch is then unsatisfiable
% 27.64/7.10 |-Branch two:
% 27.64/7.10 | (1013) ~ (all_0_248_248 = e12)
% 27.64/7.10 | (1014) all_0_252_252 = e12 | all_0_256_256 = e12
% 27.64/7.10 |
% 27.64/7.10 +-Applying beta-rule and splitting (1014), into two cases.
% 27.64/7.10 |-Branch one:
% 27.64/7.10 | (1056) all_0_252_252 = e12
% 27.64/7.10 |
% 27.64/7.10 | Equations (1056) can reduce 1147 to:
% 27.64/7.10 | (537) $false
% 27.64/7.10 |
% 27.64/7.10 |-The branch is then unsatisfiable
% 27.64/7.10 |-Branch two:
% 27.64/7.10 | (1147) ~ (all_0_252_252 = e12)
% 27.64/7.10 | (1676) all_0_256_256 = e12
% 27.64/7.10 |
% 27.64/7.10 | Combining equations (1676,741) yields a new equation:
% 27.64/7.10 | (771) e12 = e11
% 27.64/7.10 |
% 27.64/7.10 | Simplifying 771 yields:
% 27.64/7.10 | (772) e12 = e11
% 27.64/7.10 |
% 27.64/7.10 | Equations (772) can reduce 113 to:
% 27.64/7.10 | (537) $false
% 27.64/7.10 |
% 27.64/7.10 |-The branch is then unsatisfiable
% 27.64/7.10 |-Branch two:
% 27.64/7.10 | (1692) ~ (all_0_246_246 = e11)
% 27.64/7.10 | (1693) all_0_248_248 = e11 | all_0_249_249 = e11
% 27.64/7.10 |
% 27.64/7.10 +-Applying beta-rule and splitting (264), into two cases.
% 27.64/7.10 |-Branch one:
% 27.64/7.10 | (720) all_0_246_246 = e11
% 27.64/7.10 |
% 27.64/7.10 | Equations (720) can reduce 1692 to:
% 27.64/7.10 | (537) $false
% 27.64/7.10 |
% 27.64/7.10 |-The branch is then unsatisfiable
% 27.64/7.10 |-Branch two:
% 27.64/7.10 | (1692) ~ (all_0_246_246 = e11)
% 27.64/7.10 | (1697) all_0_250_250 = e11 | all_0_254_254 = e11
% 27.64/7.10 |
% 27.64/7.10 +-Applying beta-rule and splitting (1693), into two cases.
% 27.64/7.10 |-Branch one:
% 27.64/7.10 | (734) all_0_248_248 = e11
% 27.64/7.10 |
% 27.64/7.10 | Equations (734) can reduce 271 to:
% 27.64/7.10 | (101) ~ (all_0_247_247 = e11)
% 27.64/7.10 |
% 27.64/7.10 | Equations (734) can reduce 343 to:
% 27.64/7.10 | (725) ~ (all_0_249_249 = e11)
% 27.64/7.10 |
% 27.64/7.10 | Simplifying 725 yields:
% 27.64/7.10 | (694) ~ (all_0_249_249 = e11)
% 27.64/7.10 |
% 27.64/7.10 | Equations (734) can reduce 153 to:
% 27.64/7.10 | (1702) ~ (all_0_252_252 = e11)
% 27.64/7.10 |
% 27.64/7.10 | Simplifying 1702 yields:
% 27.64/7.10 | (697) ~ (all_0_252_252 = e11)
% 27.64/7.10 |
% 27.64/7.10 | Equations (734) can reduce 400 to:
% 27.64/7.10 | (748) ~ (e13 = e11)
% 27.64/7.10 |
% 27.64/7.10 | Simplifying 748 yields:
% 27.64/7.10 | (446) ~ (e13 = e11)
% 27.64/7.10 |
% 27.64/7.10 | From (734) and (170) follows:
% 27.64/7.10 | (1706) op1(e11, e11) = all_0_206_206
% 27.64/7.10 |
% 27.64/7.10 | From (734) and (304) follows:
% 27.64/7.10 | (1707) op1(e13, e11) = all_0_208_208
% 27.64/7.10 |
% 27.64/7.10 | From (734) and (24) follows:
% 27.64/7.10 | (1708) op1(e13, e11) = e11
% 27.64/7.10 |
% 27.64/7.10 | From (734) and (174) follows:
% 27.64/7.10 | (1709) op1(e11, e11) = all_0_172_172
% 27.64/7.10 |
% 27.64/7.10 | From (734) and (314) follows:
% 27.64/7.10 | (1710) op1(e10, e11) = all_0_173_173
% 27.64/7.10 |
% 27.64/7.10 +-Applying beta-rule and splitting (1697), into two cases.
% 27.64/7.10 |-Branch one:
% 27.64/7.10 | (716) all_0_250_250 = e11
% 27.64/7.10 |
% 27.64/7.10 | Equations (716) can reduce 695 to:
% 27.64/7.10 | (537) $false
% 27.64/7.10 |
% 27.64/7.10 |-The branch is then unsatisfiable
% 27.64/7.10 |-Branch two:
% 27.64/7.10 | (695) ~ (all_0_250_250 = e11)
% 27.64/7.10 | (791) all_0_254_254 = e11
% 27.64/7.10 |
% 27.64/7.10 | Equations (791) can reduce 236 to:
% 27.64/7.10 | (1692) ~ (all_0_246_246 = e11)
% 27.64/7.10 |
% 27.64/7.10 | Equations (791) can reduce 378 to:
% 27.64/7.10 | (695) ~ (all_0_250_250 = e11)
% 27.64/7.10 |
% 27.64/7.10 | Equations (791) can reduce 12 to:
% 27.64/7.10 | (1717) ~ (all_0_255_255 = e11)
% 27.64/7.10 |
% 27.64/7.10 | Simplifying 1717 yields:
% 27.64/7.10 | (134) ~ (all_0_255_255 = e11)
% 27.64/7.10 |
% 27.64/7.10 | Equations (791) can reduce 211 to:
% 27.64/7.10 | (1719) ~ (all_0_256_256 = e11)
% 27.64/7.10 |
% 27.64/7.10 | Simplifying 1719 yields:
% 27.64/7.10 | (1720) ~ (all_0_256_256 = e11)
% 27.64/7.10 |
% 27.64/7.10 | Equations (791) can reduce 242 to:
% 27.64/7.10 | (746) ~ (all_0_257_257 = e11)
% 27.64/7.10 |
% 27.64/7.10 | Simplifying 746 yields:
% 27.64/7.10 | (747) ~ (all_0_257_257 = e11)
% 27.64/7.10 |
% 27.64/7.10 | Equations (791) can reduce 142 to:
% 27.64/7.10 | (293) ~ (e11 = e10)
% 27.64/7.10 |
% 27.64/7.10 | From (791) and (301) follows:
% 27.64/7.10 | (1724) op1(e11, e11) = all_0_224_224
% 27.64/7.10 |
% 27.64/7.10 | From (791) and (420) follows:
% 27.64/7.10 | (1725) op1(e13, e11) = all_0_189_189
% 27.64/7.10 |
% 27.64/7.10 | From (791) and (143) follows:
% 27.64/7.10 | (1726) op1(e11, e11) = all_0_225_225
% 27.64/7.10 |
% 27.64/7.10 | From (791) and (243) follows:
% 27.64/7.10 | (1727) op1(e10, e11) = all_0_191_191
% 27.64/7.10 |
% 27.64/7.10 | Instantiating formula (144) with e13, e11, all_0_208_208, all_0_189_189 and discharging atoms op1(e13, e11) = all_0_189_189, op1(e13, e11) = all_0_208_208, yields:
% 27.64/7.10 | (1728) all_0_189_189 = all_0_208_208
% 27.64/7.10 |
% 27.64/7.10 | Instantiating formula (144) with e13, e11, e11, all_0_189_189 and discharging atoms op1(e13, e11) = all_0_189_189, op1(e13, e11) = e11, yields:
% 27.64/7.10 | (1565) all_0_189_189 = e11
% 27.64/7.10 |
% 27.64/7.10 | Instantiating formula (144) with e11, e11, all_0_206_206, all_0_172_172 and discharging atoms op1(e11, e11) = all_0_172_172, op1(e11, e11) = all_0_206_206, yields:
% 27.64/7.10 | (1730) all_0_172_172 = all_0_206_206
% 27.64/7.10 |
% 27.64/7.10 | Instantiating formula (144) with e11, e11, all_0_224_224, all_0_256_256 and discharging atoms op1(e11, e11) = all_0_224_224, op1(e11, e11) = all_0_256_256, yields:
% 27.64/7.10 | (1731) all_0_224_224 = all_0_256_256
% 27.64/7.10 |
% 27.64/7.10 | Instantiating formula (144) with e11, e11, all_0_224_224, all_0_206_206 and discharging atoms op1(e11, e11) = all_0_206_206, op1(e11, e11) = all_0_224_224, yields:
% 27.64/7.10 | (1732) all_0_206_206 = all_0_224_224
% 27.64/7.10 |
% 27.64/7.10 | Instantiating formula (144) with e11, e11, all_0_225_225, all_0_172_172 and discharging atoms op1(e11, e11) = all_0_172_172, op1(e11, e11) = all_0_225_225, yields:
% 27.64/7.11 | (1733) all_0_172_172 = all_0_225_225
% 27.64/7.11 |
% 27.64/7.11 | Instantiating formula (144) with e10, e11, all_0_173_173, e13 and discharging atoms op1(e10, e11) = all_0_173_173, op1(e10, e11) = e13, yields:
% 27.64/7.11 | (1734) all_0_173_173 = e13
% 27.64/7.11 |
% 27.64/7.11 | Instantiating formula (144) with e10, e11, all_0_191_191, all_0_173_173 and discharging atoms op1(e10, e11) = all_0_173_173, op1(e10, e11) = all_0_191_191, yields:
% 27.64/7.11 | (1735) all_0_173_173 = all_0_191_191
% 27.64/7.11 |
% 27.64/7.11 | Combining equations (1730,1733) yields a new equation:
% 27.64/7.11 | (1736) all_0_206_206 = all_0_225_225
% 27.64/7.11 |
% 27.64/7.11 | Simplifying 1736 yields:
% 27.64/7.11 | (1737) all_0_206_206 = all_0_225_225
% 27.64/7.11 |
% 27.64/7.11 | Combining equations (1735,1734) yields a new equation:
% 27.64/7.11 | (1738) all_0_191_191 = e13
% 27.64/7.11 |
% 27.64/7.11 | Simplifying 1738 yields:
% 27.64/7.11 | (1739) all_0_191_191 = e13
% 27.64/7.11 |
% 27.64/7.11 | Combining equations (1728,1565) yields a new equation:
% 27.64/7.11 | (1740) all_0_208_208 = e11
% 27.64/7.11 |
% 27.64/7.11 | Simplifying 1740 yields:
% 27.64/7.11 | (1741) all_0_208_208 = e11
% 27.64/7.11 |
% 27.64/7.11 | Combining equations (1732,1737) yields a new equation:
% 27.64/7.11 | (1742) all_0_224_224 = all_0_225_225
% 27.64/7.11 |
% 27.64/7.11 | Simplifying 1742 yields:
% 27.64/7.11 | (1743) all_0_224_224 = all_0_225_225
% 27.64/7.11 |
% 27.64/7.11 | Combining equations (1731,1743) yields a new equation:
% 27.64/7.11 | (1744) all_0_225_225 = all_0_256_256
% 27.64/7.11 |
% 27.64/7.11 | Combining equations (1744,1743) yields a new equation:
% 27.64/7.11 | (1731) all_0_224_224 = all_0_256_256
% 27.64/7.11 |
% 27.64/7.11 | From (1741) and (1707) follows:
% 27.64/7.11 | (1708) op1(e13, e11) = e11
% 27.64/7.11 |
% 27.64/7.11 | From (1739) and (1727) follows:
% 27.64/7.11 | (99) op1(e10, e11) = e13
% 27.64/7.11 |
% 27.64/7.11 +-Applying beta-rule and splitting (124), into two cases.
% 27.64/7.11 |-Branch one:
% 27.64/7.11 | (850) all_0_249_249 = e13
% 27.64/7.11 |
% 27.64/7.11 | Equations (850) can reduce 428 to:
% 27.64/7.11 | (1469) ~ (all_0_246_246 = e13)
% 27.64/7.11 |
% 27.64/7.11 | Equations (850) can reduce 61 to:
% 27.64/7.11 | (842) ~ (all_0_257_257 = e13)
% 27.64/7.11 |
% 27.64/7.11 | Simplifying 842 yields:
% 27.64/7.11 | (843) ~ (all_0_257_257 = e13)
% 27.64/7.11 |
% 27.64/7.11 | Equations (850) can reduce 694 to:
% 27.64/7.11 | (446) ~ (e13 = e11)
% 27.64/7.11 |
% 27.64/7.11 | From (850) and (375) follows:
% 27.64/7.11 | (856) op1(e13, e13) = all_0_210_210
% 27.64/7.11 |
% 27.64/7.11 | From (850) and (209) follows:
% 27.64/7.11 | (857) op1(e13, e13) = all_0_211_211
% 27.64/7.11 |
% 27.64/7.11 | From (850) and (282) follows:
% 27.64/7.11 | (860) op1(e10, e13) = all_0_176_176
% 27.64/7.11 |
% 27.64/7.11 +-Applying beta-rule and splitting (45), into two cases.
% 27.64/7.11 |-Branch one:
% 27.64/7.11 | (861) all_0_249_249 = e10
% 27.64/7.11 |
% 27.64/7.11 | Combining equations (861,850) yields a new equation:
% 27.64/7.11 | (862) e13 = e10
% 27.64/7.11 |
% 27.64/7.11 | Equations (862) can reduce 210 to:
% 27.64/7.11 | (537) $false
% 27.64/7.11 |
% 27.64/7.11 |-The branch is then unsatisfiable
% 27.64/7.11 |-Branch two:
% 27.64/7.11 | (864) ~ (all_0_249_249 = e10)
% 27.64/7.11 | (865) all_0_253_253 = e10 | all_0_257_257 = e10
% 27.64/7.11 |
% 27.64/7.11 +-Applying beta-rule and splitting (865), into two cases.
% 27.64/7.11 |-Branch one:
% 27.64/7.11 | (866) all_0_253_253 = e10
% 27.64/7.11 |
% 27.64/7.11 | Combining equations (866,693) yields a new equation:
% 27.64/7.11 | (868) e11 = e10
% 27.64/7.11 |
% 27.64/7.11 | Equations (868) can reduce 293 to:
% 27.64/7.11 | (537) $false
% 27.64/7.11 |
% 27.64/7.11 |-The branch is then unsatisfiable
% 27.64/7.11 |-Branch two:
% 27.64/7.11 | (870) ~ (all_0_253_253 = e10)
% 27.64/7.11 | (871) all_0_257_257 = e10
% 27.64/7.11 |
% 27.64/7.11 | Equations (871) can reduce 227 to:
% 27.64/7.11 | (1521) ~ (all_0_256_256 = e10)
% 27.64/7.11 |
% 27.64/7.11 | Equations (871) can reduce 843 to:
% 27.64/7.11 | (872) ~ (e13 = e10)
% 27.64/7.11 |
% 27.64/7.11 | Simplifying 872 yields:
% 27.64/7.11 | (210) ~ (e13 = e10)
% 27.64/7.11 |
% 27.64/7.11 | Equations (871) can reduce 747 to:
% 27.64/7.11 | (906) ~ (e11 = e10)
% 27.64/7.11 |
% 27.64/7.11 | Simplifying 906 yields:
% 27.64/7.11 | (293) ~ (e11 = e10)
% 27.64/7.11 |
% 27.64/7.11 | From (871) and (148) follows:
% 27.64/7.11 | (876) op1(e10, e11) = all_0_232_232
% 27.64/7.11 |
% 27.64/7.11 | From (871) and (121) follows:
% 27.64/7.11 | (877) op1(e12, e10) = all_0_199_199
% 27.64/7.11 |
% 27.64/7.11 +-Applying beta-rule and splitting (274), into two cases.
% 27.64/7.11 |-Branch one:
% 27.64/7.11 | (741) all_0_256_256 = e11
% 27.64/7.11 |
% 27.64/7.11 | Equations (741) can reduce 1720 to:
% 27.64/7.11 | (537) $false
% 27.64/7.11 |
% 27.64/7.11 |-The branch is then unsatisfiable
% 27.64/7.11 |-Branch two:
% 27.64/7.11 | (1720) ~ (all_0_256_256 = e11)
% 27.64/7.11 | (1776) all_0_256_256 = e12 | all_0_256_256 = e10
% 27.64/7.11 |
% 27.64/7.11 +-Applying beta-rule and splitting (251), into two cases.
% 27.64/7.11 |-Branch one:
% 27.64/7.11 | (795) all_0_254_254 = e13
% 27.64/7.11 |
% 27.64/7.11 | Combining equations (791,795) yields a new equation:
% 27.64/7.11 | (959) e13 = e11
% 27.64/7.11 |
% 27.64/7.11 | Equations (959) can reduce 446 to:
% 27.64/7.11 | (537) $false
% 27.64/7.11 |
% 27.64/7.11 |-The branch is then unsatisfiable
% 27.64/7.11 |-Branch two:
% 27.64/7.11 | (782) ~ (all_0_254_254 = e13)
% 27.64/7.11 | (836) all_0_255_255 = e13 | all_0_257_257 = e13
% 27.64/7.11 |
% 27.64/7.11 | Equations (791) can reduce 782 to:
% 27.64/7.11 | (748) ~ (e13 = e11)
% 27.64/7.11 |
% 27.64/7.11 | Simplifying 748 yields:
% 27.64/7.11 | (446) ~ (e13 = e11)
% 27.64/7.11 |
% 27.64/7.11 +-Applying beta-rule and splitting (125), into two cases.
% 27.64/7.11 |-Branch one:
% 27.64/7.11 | (1465) all_0_246_246 = e13
% 27.64/7.11 |
% 27.64/7.11 | Equations (1465) can reduce 1469 to:
% 27.64/7.11 | (537) $false
% 27.64/7.11 |
% 27.64/7.11 |-The branch is then unsatisfiable
% 27.64/7.11 |-Branch two:
% 27.64/7.11 | (1469) ~ (all_0_246_246 = e13)
% 27.64/7.11 | (1787) all_0_250_250 = e13 | all_0_254_254 = e13
% 27.64/7.11 |
% 27.64/7.11 +-Applying beta-rule and splitting (409), into two cases.
% 27.64/7.11 |-Branch one:
% 27.64/7.11 | (910) all_0_248_248 = e10
% 27.64/7.11 |
% 27.64/7.11 | Combining equations (734,910) yields a new equation:
% 27.64/7.11 | (867) e11 = e10
% 27.64/7.11 |
% 27.64/7.11 | Simplifying 867 yields:
% 27.64/7.11 | (868) e11 = e10
% 27.64/7.11 |
% 27.64/7.11 | Equations (868) can reduce 293 to:
% 27.64/7.11 | (537) $false
% 27.64/7.11 |
% 27.64/7.11 |-The branch is then unsatisfiable
% 27.64/7.11 |-Branch two:
% 27.64/7.11 | (905) ~ (all_0_248_248 = e10)
% 27.64/7.11 | (913) all_0_252_252 = e10 | all_0_256_256 = e10
% 27.64/7.11 |
% 27.64/7.11 | Equations (734) can reduce 905 to:
% 27.64/7.11 | (293) ~ (e11 = e10)
% 27.64/7.11 |
% 27.64/7.11 +-Applying beta-rule and splitting (1776), into two cases.
% 27.64/7.11 |-Branch one:
% 27.64/7.11 | (1676) all_0_256_256 = e12
% 27.64/7.11 |
% 27.64/7.11 | Combining equations (1676,1731) yields a new equation:
% 27.64/7.11 | (1057) all_0_224_224 = e12
% 27.64/7.11 |
% 27.64/7.11 | Equations (1676) can reduce 162 to:
% 27.64/7.11 | (1147) ~ (all_0_252_252 = e12)
% 27.64/7.11 |
% 27.64/7.11 +-Applying beta-rule and splitting (396), into two cases.
% 27.64/7.11 |-Branch one:
% 27.64/7.11 | (720) all_0_246_246 = e11
% 27.64/7.11 |
% 27.64/7.11 | Equations (720) can reduce 1692 to:
% 27.64/7.11 | (537) $false
% 27.64/7.11 |
% 27.64/7.11 |-The branch is then unsatisfiable
% 27.64/7.11 |-Branch two:
% 27.64/7.11 | (1692) ~ (all_0_246_246 = e11)
% 27.64/7.11 | (1801) all_0_246_246 = e13 | all_0_246_246 = e12
% 27.64/7.11 |
% 27.64/7.11 +-Applying beta-rule and splitting (398), into two cases.
% 27.64/7.11 |-Branch one:
% 27.64/7.11 | (902) all_0_247_247 = e10
% 27.64/7.11 |
% 27.64/7.11 | Equations (902) can reduce 296 to:
% 27.64/7.11 | (1803) ~ (all_0_251_251 = e10)
% 27.64/7.11 |
% 27.64/7.11 | Simplifying 1803 yields:
% 27.64/7.11 | (921) ~ (all_0_251_251 = e10)
% 27.64/7.11 |
% 27.64/7.11 | Equations (902) can reduce 101 to:
% 27.64/7.11 | (906) ~ (e11 = e10)
% 27.64/7.11 |
% 27.64/7.11 | Simplifying 906 yields:
% 27.64/7.11 | (293) ~ (e11 = e10)
% 27.64/7.11 |
% 27.64/7.11 | From (902) and (289) follows:
% 27.64/7.11 | (908) op1(e10, e13) = all_0_204_204
% 27.64/7.11 |
% 27.64/7.11 | From (902) and (62) follows:
% 27.64/7.11 | (1808) op1(e13, e12) = e10
% 27.64/7.11 |
% 27.64/7.11 | From (902) and (117) follows:
% 27.64/7.11 | (909) op1(e12, e10) = all_0_168_168
% 27.64/7.11 |
% 27.64/7.11 +-Applying beta-rule and splitting (1787), into two cases.
% 27.64/7.11 |-Branch one:
% 27.64/7.11 | (776) all_0_250_250 = e13
% 27.64/7.11 |
% 27.64/7.11 | Equations (776) can reduce 47 to:
% 27.64/7.11 | (1469) ~ (all_0_246_246 = e13)
% 27.64/7.11 |
% 27.64/7.11 | Equations (776) can reduce 147 to:
% 27.64/7.11 | (779) ~ (all_0_252_252 = e13)
% 27.64/7.11 |
% 27.64/7.11 | Simplifying 779 yields:
% 27.64/7.11 | (295) ~ (all_0_252_252 = e13)
% 27.64/7.11 |
% 27.64/7.11 | From (776) and (120) follows:
% 27.64/7.11 | (784) op1(e13, e13) = all_0_212_212
% 27.64/7.11 |
% 27.64/7.11 | From (776) and (103) follows:
% 27.64/7.11 | (785) op1(e13, e12) = all_0_213_213
% 27.64/7.11 |
% 27.64/7.11 | From (776) and (470) follows:
% 27.64/7.11 | (786) op1(e13, e13) = all_0_177_177
% 27.64/7.11 |
% 27.64/7.11 | From (776) and (158) follows:
% 27.64/7.11 | (790) op1(e10, e13) = all_0_179_179
% 27.64/7.11 |
% 27.64/7.11 +-Applying beta-rule and splitting (372), into two cases.
% 27.64/7.11 |-Branch one:
% 27.64/7.11 | (1011) all_0_251_251 = e10
% 27.64/7.11 |
% 27.64/7.11 | Equations (1011) can reduce 921 to:
% 27.64/7.11 | (537) $false
% 27.64/7.11 |
% 27.64/7.11 |-The branch is then unsatisfiable
% 27.64/7.11 |-Branch two:
% 27.64/7.11 | (921) ~ (all_0_251_251 = e10)
% 27.64/7.11 | (1226) all_0_252_252 = e10 | all_0_253_253 = e10
% 27.64/7.11 |
% 27.64/7.11 +-Applying beta-rule and splitting (237), into two cases.
% 27.64/7.11 |-Branch one:
% 27.64/7.11 | (839) all_0_255_255 = e13
% 27.64/7.11 |
% 27.64/7.11 | Combining equations (839,708) yields a new equation:
% 27.64/7.11 | (840) all_0_221_221 = e13
% 27.64/7.11 |
% 27.64/7.11 | Equations (839) can reduce 481 to:
% 27.64/7.11 | (778) ~ (all_0_251_251 = e13)
% 27.64/7.11 |
% 27.64/7.11 | Equations (839) can reduce 134 to:
% 27.64/7.11 | (446) ~ (e13 = e11)
% 27.64/7.11 |
% 27.64/7.11 | From (839) and (299) follows:
% 27.64/7.11 | (845) op1(e13, e11) = all_0_227_227
% 27.64/7.11 |
% 27.64/7.11 | From (839) and (87) follows:
% 27.64/7.11 | (846) op1(e13, e13) = all_0_192_192
% 27.64/7.11 |
% 27.64/7.11 | From (839) and (22) follows:
% 27.64/7.11 | (849) op1(e10, e13) = all_0_194_194
% 27.64/7.11 |
% 27.64/7.11 +-Applying beta-rule and splitting (404), into two cases.
% 27.64/7.11 |-Branch one:
% 27.64/7.11 | (770) all_0_246_246 = e12
% 27.64/7.11 |
% 27.64/7.11 | Equations (770) can reduce 1469 to:
% 27.64/7.11 | (803) ~ (e13 = e12)
% 27.64/7.11 |
% 27.64/7.11 | Simplifying 803 yields:
% 27.64/7.11 | (305) ~ (e13 = e12)
% 27.64/7.11 |
% 27.64/7.11 | From (770) and (367) follows:
% 27.64/7.11 | (1832) op1(e13, e13) = e12
% 27.64/7.11 |
% 27.64/7.11 +-Applying beta-rule and splitting (476), into two cases.
% 27.64/7.11 |-Branch one:
% 27.64/7.11 | (1152) all_0_250_250 = e12
% 27.64/7.11 |
% 27.64/7.11 | Combining equations (776,1152) yields a new equation:
% 27.64/7.11 | (832) e13 = e12
% 27.64/7.11 |
% 27.64/7.11 | Simplifying 832 yields:
% 27.64/7.11 | (833) e13 = e12
% 27.64/7.11 |
% 27.64/7.11 | Equations (833) can reduce 305 to:
% 27.64/7.11 | (537) $false
% 27.64/7.11 |
% 27.64/7.11 |-The branch is then unsatisfiable
% 27.64/7.11 |-Branch two:
% 27.64/7.11 | (1156) ~ (all_0_250_250 = e12)
% 27.64/7.11 | (1157) all_0_251_251 = e12 | all_0_252_252 = e12
% 27.64/7.11 |
% 27.64/7.11 +-Applying beta-rule and splitting (180), into two cases.
% 27.64/7.11 |-Branch one:
% 27.64/7.11 | (929) all_0_251_251 = e13
% 27.64/7.11 |
% 27.64/7.11 | Equations (929) can reduce 778 to:
% 27.64/7.12 | (537) $false
% 27.64/7.12 |
% 27.64/7.12 |-The branch is then unsatisfiable
% 27.64/7.12 |-Branch two:
% 27.64/7.12 | (778) ~ (all_0_251_251 = e13)
% 27.64/7.12 | (932) all_0_251_251 = e12 | all_0_251_251 = e10
% 27.64/7.12 |
% 27.64/7.12 +-Applying beta-rule and splitting (1226), into two cases.
% 27.64/7.12 |-Branch one:
% 27.64/7.12 | (918) all_0_252_252 = e10
% 27.64/7.12 |
% 27.64/7.12 | Equations (918) can reduce 458 to:
% 27.64/7.12 | (921) ~ (all_0_251_251 = e10)
% 27.64/7.12 |
% 27.64/7.12 | Equations (918) can reduce 295 to:
% 27.64/7.12 | (872) ~ (e13 = e10)
% 27.64/7.12 |
% 27.64/7.12 | Simplifying 872 yields:
% 27.64/7.12 | (210) ~ (e13 = e10)
% 27.64/7.12 |
% 27.64/7.12 | Equations (918) can reduce 1147 to:
% 27.64/7.12 | (874) ~ (e12 = e10)
% 27.64/7.12 |
% 27.64/7.12 | Simplifying 874 yields:
% 27.64/7.12 | (8) ~ (e12 = e10)
% 27.64/7.12 |
% 27.64/7.12 | From (918) and (319) follows:
% 27.64/7.12 | (1297) op1(e10, e11) = all_0_217_217
% 27.64/7.12 |
% 27.64/7.12 | From (918) and (435) follows:
% 27.64/7.12 | (926) op1(e12, e10) = all_0_219_219
% 27.64/7.12 |
% 27.64/7.12 +-Applying beta-rule and splitting (1157), into two cases.
% 27.64/7.12 |-Branch one:
% 27.64/7.12 | (933) all_0_251_251 = e12
% 27.64/7.12 |
% 27.64/7.12 | Equations (933) can reduce 778 to:
% 27.64/7.12 | (803) ~ (e13 = e12)
% 27.64/7.12 |
% 27.64/7.12 | Simplifying 803 yields:
% 27.64/7.12 | (305) ~ (e13 = e12)
% 27.64/7.12 |
% 27.64/7.12 | Equations (933) can reduce 108 to:
% 27.64/7.12 | (113) ~ (e12 = e11)
% 27.64/7.12 |
% 27.64/7.12 | Equations (933) can reduce 921 to:
% 27.64/7.12 | (8) ~ (e12 = e10)
% 27.64/7.12 |
% 27.64/7.12 | Instantiating formula (144) with e13, e13, all_0_192_192, all_0_177_177 and discharging atoms op1(e13, e13) = all_0_177_177, op1(e13, e13) = all_0_192_192, yields:
% 27.64/7.12 | (1856) all_0_177_177 = all_0_192_192
% 27.64/7.12 |
% 27.64/7.12 | Instantiating formula (144) with e13, e13, all_0_210_210, all_0_192_192 and discharging atoms op1(e13, e13) = all_0_192_192, op1(e13, e13) = all_0_210_210, yields:
% 27.64/7.12 | (879) all_0_192_192 = all_0_210_210
% 27.64/7.12 |
% 27.64/7.12 | Instantiating formula (144) with e13, e13, all_0_211_211, all_0_210_210 and discharging atoms op1(e13, e13) = all_0_210_210, op1(e13, e13) = all_0_211_211, yields:
% 27.64/7.12 | (896) all_0_210_210 = all_0_211_211
% 27.64/7.12 |
% 27.64/7.12 | Instantiating formula (144) with e13, e13, all_0_212_212, all_0_177_177 and discharging atoms op1(e13, e13) = all_0_177_177, op1(e13, e13) = all_0_212_212, yields:
% 27.64/7.12 | (812) all_0_177_177 = all_0_212_212
% 27.64/7.12 |
% 27.64/7.12 | Instantiating formula (144) with e13, e13, e12, all_0_211_211 and discharging atoms op1(e13, e13) = all_0_211_211, op1(e13, e13) = e12, yields:
% 27.64/7.12 | (1860) all_0_211_211 = e12
% 27.64/7.12 |
% 27.64/7.12 | Instantiating formula (144) with e13, e12, e10, all_0_213_213 and discharging atoms op1(e13, e12) = all_0_213_213, op1(e13, e12) = e10, yields:
% 27.64/7.12 | (903) all_0_213_213 = e10
% 27.64/7.12 |
% 27.64/7.12 | Instantiating formula (144) with e13, e11, all_0_227_227, e11 and discharging atoms op1(e13, e11) = all_0_227_227, op1(e13, e11) = e11, yields:
% 27.64/7.12 | (1862) all_0_227_227 = e11
% 27.64/7.12 |
% 27.64/7.12 | Instantiating formula (144) with e12, e10, all_0_199_199, e11 and discharging atoms op1(e12, e10) = all_0_199_199, op1(e12, e10) = e11, yields:
% 27.64/7.12 | (884) all_0_199_199 = e11
% 27.64/7.12 |
% 27.64/7.12 | Instantiating formula (144) with e12, e10, all_0_199_199, all_0_168_168 and discharging atoms op1(e12, e10) = all_0_168_168, op1(e12, e10) = all_0_199_199, yields:
% 27.64/7.12 | (1308) all_0_168_168 = all_0_199_199
% 27.64/7.12 |
% 27.64/7.12 | Instantiating formula (144) with e12, e10, all_0_219_219, all_0_168_168 and discharging atoms op1(e12, e10) = all_0_168_168, op1(e12, e10) = all_0_219_219, yields:
% 27.64/7.12 | (937) all_0_168_168 = all_0_219_219
% 27.64/7.12 |
% 27.64/7.12 | Instantiating formula (144) with e10, e13, all_0_179_179, all_0_176_176 and discharging atoms op1(e10, e13) = all_0_176_176, op1(e10, e13) = all_0_179_179, yields:
% 27.64/7.12 | (1866) all_0_176_176 = all_0_179_179
% 27.64/7.12 |
% 27.64/7.12 | Instantiating formula (144) with e10, e13, all_0_194_194, e10 and discharging atoms op1(e10, e13) = all_0_194_194, op1(e10, e13) = e10, yields:
% 27.64/7.12 | (894) all_0_194_194 = e10
% 27.64/7.12 |
% 27.64/7.12 | Instantiating formula (144) with e10, e13, all_0_194_194, all_0_179_179 and discharging atoms op1(e10, e13) = all_0_179_179, op1(e10, e13) = all_0_194_194, yields:
% 27.64/7.12 | (1868) all_0_179_179 = all_0_194_194
% 27.64/7.12 |
% 27.64/7.12 | Instantiating formula (144) with e10, e13, all_0_204_204, all_0_176_176 and discharging atoms op1(e10, e13) = all_0_176_176, op1(e10, e13) = all_0_204_204, yields:
% 27.64/7.12 | (1869) all_0_176_176 = all_0_204_204
% 27.64/7.12 |
% 27.64/7.12 | Instantiating formula (144) with e10, e11, all_0_217_217, e13 and discharging atoms op1(e10, e11) = all_0_217_217, op1(e10, e11) = e13, yields:
% 27.64/7.12 | (1313) all_0_217_217 = e13
% 27.64/7.12 |
% 27.64/7.12 | Instantiating formula (144) with e10, e11, all_0_232_232, all_0_217_217 and discharging atoms op1(e10, e11) = all_0_217_217, op1(e10, e11) = all_0_232_232, yields:
% 27.64/7.12 | (1555) all_0_217_217 = all_0_232_232
% 27.64/7.12 |
% 27.64/7.12 | Combining equations (1308,937) yields a new equation:
% 27.64/7.12 | (1556) all_0_199_199 = all_0_219_219
% 27.64/7.12 |
% 27.64/7.12 | Simplifying 1556 yields:
% 27.64/7.12 | (1557) all_0_199_199 = all_0_219_219
% 27.64/7.12 |
% 27.64/7.12 | Combining equations (1866,1869) yields a new equation:
% 27.64/7.12 | (1874) all_0_179_179 = all_0_204_204
% 27.64/7.12 |
% 27.64/7.12 | Simplifying 1874 yields:
% 27.64/7.12 | (1875) all_0_179_179 = all_0_204_204
% 27.64/7.12 |
% 27.64/7.12 | Combining equations (1856,812) yields a new equation:
% 27.64/7.12 | (1876) all_0_192_192 = all_0_212_212
% 27.64/7.12 |
% 27.64/7.12 | Simplifying 1876 yields:
% 27.64/7.12 | (1877) all_0_192_192 = all_0_212_212
% 27.64/7.12 |
% 27.64/7.12 | Combining equations (1868,1875) yields a new equation:
% 27.64/7.12 | (1878) all_0_194_194 = all_0_204_204
% 27.64/7.12 |
% 27.64/7.12 | Simplifying 1878 yields:
% 27.64/7.12 | (1879) all_0_194_194 = all_0_204_204
% 27.64/7.12 |
% 27.64/7.12 | Combining equations (879,1877) yields a new equation:
% 27.64/7.12 | (1880) all_0_210_210 = all_0_212_212
% 27.64/7.12 |
% 27.64/7.12 | Simplifying 1880 yields:
% 27.64/7.12 | (1881) all_0_210_210 = all_0_212_212
% 27.64/7.12 |
% 27.64/7.12 | Combining equations (894,1879) yields a new equation:
% 27.64/7.12 | (938) all_0_204_204 = e10
% 27.64/7.12 |
% 27.64/7.12 | Combining equations (884,1557) yields a new equation:
% 27.64/7.12 | (939) all_0_219_219 = e11
% 27.64/7.12 |
% 27.64/7.12 | Combining equations (896,1881) yields a new equation:
% 27.64/7.12 | (1884) all_0_211_211 = all_0_212_212
% 27.64/7.12 |
% 27.64/7.12 | Simplifying 1884 yields:
% 27.64/7.12 | (1885) all_0_211_211 = all_0_212_212
% 27.64/7.12 |
% 27.64/7.12 | Combining equations (1860,1885) yields a new equation:
% 27.64/7.12 | (1539) all_0_212_212 = e12
% 27.64/7.12 |
% 27.64/7.12 | Combining equations (1555,1313) yields a new equation:
% 27.64/7.12 | (1887) all_0_232_232 = e13
% 27.64/7.12 |
% 27.64/7.12 | Simplifying 1887 yields:
% 27.64/7.12 | (889) all_0_232_232 = e13
% 27.64/7.12 |
% 27.64/7.12 | Combining equations (1539,1881) yields a new equation:
% 27.64/7.12 | (1889) all_0_210_210 = e12
% 27.64/7.12 |
% 27.64/7.12 +-Applying beta-rule and splitting (257), into two cases.
% 27.64/7.12 |-Branch one:
% 27.64/7.12 | (940) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)) | (all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10))
% 27.64/7.12 |
% 27.64/7.12 +-Applying beta-rule and splitting (940), into two cases.
% 27.64/7.12 |-Branch one:
% 27.64/7.12 | (941) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12))
% 27.64/7.12 |
% 27.64/7.12 +-Applying beta-rule and splitting (941), into two cases.
% 27.64/7.12 |-Branch one:
% 27.64/7.12 | (942) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13))
% 27.64/7.12 |
% 27.64/7.12 +-Applying beta-rule and splitting (942), into two cases.
% 27.64/7.12 |-Branch one:
% 27.64/7.12 | (943) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10))
% 27.64/7.12 |
% 27.64/7.12 +-Applying beta-rule and splitting (943), into two cases.
% 27.64/7.12 |-Branch one:
% 27.64/7.12 | (944) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11))
% 27.64/7.12 |
% 27.64/7.12 +-Applying beta-rule and splitting (944), into two cases.
% 27.64/7.12 |-Branch one:
% 27.64/7.12 | (945) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13))
% 27.64/7.12 |
% 27.64/7.12 +-Applying beta-rule and splitting (945), into two cases.
% 27.64/7.12 |-Branch one:
% 27.64/7.12 | (946) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10))
% 27.64/7.12 |
% 27.64/7.12 +-Applying beta-rule and splitting (946), into two cases.
% 27.64/7.12 |-Branch one:
% 27.64/7.12 | (947) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11))
% 27.64/7.12 |
% 27.64/7.12 +-Applying beta-rule and splitting (947), into two cases.
% 27.64/7.12 |-Branch one:
% 27.64/7.12 | (948) all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)
% 27.64/7.12 |
% 27.64/7.12 | Applying alpha-rule on (948) yields:
% 27.64/7.12 | (949) all_0_204_204 = e12
% 27.64/7.12 | (950) ~ (all_0_203_203 = e13)
% 27.64/7.12 | (951) ~ (all_0_205_205 = e12)
% 27.64/7.12 |
% 27.64/7.12 | Combining equations (938,949) yields a new equation:
% 27.64/7.12 | (952) e12 = e10
% 27.64/7.12 |
% 27.64/7.12 | Equations (952) can reduce 8 to:
% 27.64/7.12 | (537) $false
% 27.64/7.12 |
% 27.64/7.12 |-The branch is then unsatisfiable
% 27.64/7.12 |-Branch two:
% 27.64/7.12 | (954) all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)
% 27.64/7.12 |
% 27.64/7.12 | Applying alpha-rule on (954) yields:
% 27.64/7.12 | (955) all_0_207_207 = e11
% 27.64/7.12 | (956) ~ (all_0_206_206 = e13)
% 27.64/7.12 | (957) ~ (all_0_208_208 = e11)
% 27.64/7.12 |
% 27.64/7.13 | Equations (1741) can reduce 957 to:
% 27.64/7.13 | (537) $false
% 27.64/7.13 |
% 27.64/7.13 |-The branch is then unsatisfiable
% 27.64/7.13 |-Branch two:
% 27.64/7.13 | (961) all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)
% 27.64/7.13 |
% 27.64/7.13 | Applying alpha-rule on (961) yields:
% 27.64/7.13 | (962) all_0_210_210 = e10
% 27.64/7.13 | (963) ~ (all_0_209_209 = e13)
% 27.64/7.13 | (964) ~ (all_0_211_211 = e10)
% 27.64/7.13 |
% 27.64/7.13 | Combining equations (1889,962) yields a new equation:
% 27.64/7.13 | (1159) e12 = e10
% 27.64/7.13 |
% 27.64/7.13 | Simplifying 1159 yields:
% 27.64/7.13 | (952) e12 = e10
% 27.64/7.13 |
% 27.64/7.13 | Equations (952) can reduce 8 to:
% 27.64/7.13 | (537) $false
% 27.64/7.13 |
% 27.64/7.13 |-The branch is then unsatisfiable
% 27.64/7.13 |-Branch two:
% 27.64/7.13 | (968) all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)
% 27.64/7.13 |
% 27.64/7.13 | Applying alpha-rule on (968) yields:
% 27.64/7.13 | (969) all_0_213_213 = e13
% 27.64/7.13 | (970) ~ (all_0_212_212 = e12)
% 27.64/7.13 | (971) ~ (all_0_214_214 = e13)
% 27.64/7.13 |
% 27.64/7.13 | Combining equations (903,969) yields a new equation:
% 27.64/7.13 | (862) e13 = e10
% 27.64/7.13 |
% 27.64/7.13 | Equations (862) can reduce 210 to:
% 27.64/7.13 | (537) $false
% 27.64/7.13 |
% 27.64/7.13 |-The branch is then unsatisfiable
% 27.64/7.13 |-Branch two:
% 27.64/7.13 | (974) all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)
% 27.64/7.13 |
% 27.64/7.13 | Applying alpha-rule on (974) yields:
% 27.64/7.13 | (975) all_0_218_218 = e11
% 27.64/7.13 | (976) ~ (all_0_217_217 = e12)
% 27.64/7.13 | (977) ~ (all_0_219_219 = e11)
% 27.64/7.13 |
% 27.64/7.13 | Equations (939) can reduce 977 to:
% 27.64/7.13 | (537) $false
% 27.64/7.13 |
% 27.64/7.13 |-The branch is then unsatisfiable
% 27.64/7.13 |-Branch two:
% 27.64/7.13 | (979) all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)
% 27.64/7.13 |
% 27.64/7.13 | Applying alpha-rule on (979) yields:
% 27.64/7.13 | (980) all_0_221_221 = e10
% 27.64/7.13 | (981) ~ (all_0_220_220 = e12)
% 27.64/7.13 | (982) ~ (all_0_222_222 = e10)
% 27.64/7.13 |
% 27.64/7.13 | Combining equations (840,980) yields a new equation:
% 27.64/7.13 | (983) e13 = e10
% 27.64/7.13 |
% 27.64/7.13 | Simplifying 983 yields:
% 27.64/7.13 | (862) e13 = e10
% 27.64/7.13 |
% 27.64/7.13 | Equations (862) can reduce 210 to:
% 27.64/7.13 | (537) $false
% 27.64/7.13 |
% 27.64/7.13 |-The branch is then unsatisfiable
% 27.64/7.13 |-Branch two:
% 27.64/7.13 | (986) all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)
% 27.64/7.13 |
% 27.64/7.13 | Applying alpha-rule on (986) yields:
% 27.64/7.13 | (987) all_0_224_224 = e13
% 27.64/7.13 | (988) ~ (all_0_223_223 = e11)
% 27.64/7.13 | (989) ~ (all_0_225_225 = e13)
% 27.64/7.13 |
% 27.64/7.13 | Combining equations (1057,987) yields a new equation:
% 27.64/7.13 | (833) e13 = e12
% 27.64/7.13 |
% 27.64/7.13 | Equations (833) can reduce 305 to:
% 27.64/7.13 | (537) $false
% 27.64/7.13 |
% 27.64/7.13 |-The branch is then unsatisfiable
% 27.64/7.13 |-Branch two:
% 27.64/7.13 | (992) all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)
% 27.64/7.13 |
% 27.64/7.13 | Applying alpha-rule on (992) yields:
% 27.64/7.13 | (993) all_0_227_227 = e12
% 27.64/7.13 | (994) ~ (all_0_226_226 = e11)
% 27.64/7.13 | (995) ~ (all_0_228_228 = e12)
% 27.64/7.13 |
% 27.64/7.13 | Combining equations (1862,993) yields a new equation:
% 27.64/7.13 | (772) e12 = e11
% 27.64/7.13 |
% 27.64/7.13 | Equations (772) can reduce 113 to:
% 27.64/7.13 | (537) $false
% 27.64/7.13 |
% 27.64/7.13 |-The branch is then unsatisfiable
% 27.64/7.13 |-Branch two:
% 27.64/7.13 | (997) all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10)
% 27.64/7.13 |
% 27.64/7.13 | Applying alpha-rule on (997) yields:
% 27.64/7.13 | (998) all_0_232_232 = e10
% 27.64/7.13 | (999) ~ (all_0_231_231 = e11)
% 27.64/7.13 | (1000) ~ (all_0_233_233 = e10)
% 27.64/7.13 |
% 27.64/7.13 | Combining equations (998,889) yields a new equation:
% 27.64/7.13 | (862) e13 = e10
% 27.64/7.13 |
% 27.64/7.13 | Equations (862) can reduce 210 to:
% 27.64/7.13 | (537) $false
% 27.64/7.13 |
% 27.64/7.13 |-The branch is then unsatisfiable
% 27.64/7.13 |-Branch two:
% 27.64/7.13 | (1004) all_0_249_249 = e11 & ~ (all_0_248_248 = e10)
% 27.64/7.13 |
% 27.64/7.13 | Applying alpha-rule on (1004) yields:
% 27.64/7.13 | (1005) all_0_249_249 = e11
% 27.64/7.13 | (905) ~ (all_0_248_248 = e10)
% 27.64/7.13 |
% 27.64/7.13 | Combining equations (1005,850) yields a new equation:
% 27.64/7.13 | (959) e13 = e11
% 27.64/7.13 |
% 27.64/7.13 | Equations (959) can reduce 446 to:
% 27.64/7.13 | (537) $false
% 27.64/7.13 |
% 27.64/7.13 |-The branch is then unsatisfiable
% 27.64/7.13 |-Branch two:
% 27.64/7.13 | (1010) ~ (all_0_251_251 = e12)
% 27.64/7.13 | (1056) all_0_252_252 = e12
% 27.64/7.13 |
% 27.64/7.13 | Combining equations (918,1056) yields a new equation:
% 27.64/7.13 | (952) e12 = e10
% 27.64/7.13 |
% 27.64/7.13 | Equations (952) can reduce 8 to:
% 27.64/7.13 | (537) $false
% 27.64/7.13 |
% 27.64/7.13 |-The branch is then unsatisfiable
% 27.64/7.13 |-Branch two:
% 27.64/7.13 | (1020) ~ (all_0_252_252 = e10)
% 27.64/7.13 | (866) all_0_253_253 = e10
% 27.64/7.13 |
% 27.64/7.13 | Combining equations (866,693) yields a new equation:
% 27.64/7.13 | (868) e11 = e10
% 27.64/7.13 |
% 27.64/7.13 | Equations (868) can reduce 293 to:
% 27.64/7.13 | (537) $false
% 27.64/7.13 |
% 27.64/7.13 |-The branch is then unsatisfiable
% 27.64/7.13 |-Branch two:
% 27.64/7.13 | (774) ~ (all_0_246_246 = e12)
% 27.64/7.13 | (1966) all_0_250_250 = e12 | all_0_254_254 = e12
% 27.64/7.13 |
% 27.64/7.13 +-Applying beta-rule and splitting (29), into two cases.
% 27.64/7.13 |-Branch one:
% 27.64/7.13 | (770) all_0_246_246 = e12
% 27.64/7.13 |
% 27.64/7.13 | Equations (770) can reduce 774 to:
% 27.64/7.13 | (537) $false
% 27.64/7.13 |
% 27.64/7.13 |-The branch is then unsatisfiable
% 27.64/7.13 |-Branch two:
% 27.64/7.13 | (774) ~ (all_0_246_246 = e12)
% 27.64/7.13 | (775) all_0_247_247 = e12 | all_0_248_248 = e12
% 27.64/7.13 |
% 27.64/7.13 +-Applying beta-rule and splitting (1801), into two cases.
% 27.64/7.13 |-Branch one:
% 27.64/7.13 | (1465) all_0_246_246 = e13
% 27.64/7.13 |
% 27.64/7.13 | Equations (1465) can reduce 1469 to:
% 27.64/7.13 | (537) $false
% 27.64/7.13 |
% 27.64/7.13 |-The branch is then unsatisfiable
% 27.64/7.13 |-Branch two:
% 27.64/7.13 | (1469) ~ (all_0_246_246 = e13)
% 27.64/7.13 | (770) all_0_246_246 = e12
% 27.64/7.13 |
% 27.64/7.13 | Equations (770) can reduce 774 to:
% 27.64/7.13 | (537) $false
% 27.64/7.13 |
% 27.64/7.13 |-The branch is then unsatisfiable
% 27.64/7.13 |-Branch two:
% 27.64/7.13 | (1189) ~ (all_0_255_255 = e13)
% 27.64/7.13 | (1190) all_0_255_255 = e12 | all_0_255_255 = e10
% 27.64/7.13 |
% 27.64/7.13 +-Applying beta-rule and splitting (141), into two cases.
% 27.64/7.13 |-Branch one:
% 27.64/7.13 | (738) all_0_252_252 = e11
% 27.64/7.13 |
% 27.64/7.13 | Equations (738) can reduce 697 to:
% 27.64/7.13 | (537) $false
% 27.64/7.13 |
% 27.64/7.13 |-The branch is then unsatisfiable
% 27.64/7.13 |-Branch two:
% 27.64/7.13 | (697) ~ (all_0_252_252 = e11)
% 27.64/7.13 | (769) all_0_252_252 = e12 | all_0_252_252 = e10
% 27.64/7.13 |
% 27.64/7.13 +-Applying beta-rule and splitting (769), into two cases.
% 27.64/7.13 |-Branch one:
% 27.64/7.13 | (1056) all_0_252_252 = e12
% 27.64/7.13 |
% 27.64/7.13 | Equations (1056) can reduce 1147 to:
% 27.64/7.13 | (537) $false
% 27.64/7.13 |
% 27.64/7.13 |-The branch is then unsatisfiable
% 27.64/7.13 |-Branch two:
% 27.64/7.13 | (1147) ~ (all_0_252_252 = e12)
% 27.64/7.13 | (918) all_0_252_252 = e10
% 27.64/7.13 |
% 27.64/7.13 | Equations (918) can reduce 295 to:
% 27.64/7.13 | (872) ~ (e13 = e10)
% 27.64/7.13 |
% 27.64/7.13 | Simplifying 872 yields:
% 27.64/7.13 | (210) ~ (e13 = e10)
% 27.64/7.13 |
% 27.64/7.13 +-Applying beta-rule and splitting (836), into two cases.
% 27.64/7.13 |-Branch one:
% 27.64/7.13 | (839) all_0_255_255 = e13
% 27.64/7.13 |
% 27.64/7.13 | Equations (839) can reduce 1189 to:
% 27.64/7.13 | (537) $false
% 27.64/7.13 |
% 27.64/7.13 |-The branch is then unsatisfiable
% 27.64/7.13 |-Branch two:
% 27.64/7.13 | (1189) ~ (all_0_255_255 = e13)
% 27.64/7.13 | (1187) all_0_257_257 = e13
% 27.64/7.13 |
% 27.64/7.13 | Combining equations (871,1187) yields a new equation:
% 27.64/7.13 | (862) e13 = e10
% 27.64/7.13 |
% 27.64/7.13 | Equations (862) can reduce 210 to:
% 27.64/7.13 | (537) $false
% 27.64/7.13 |
% 27.64/7.13 |-The branch is then unsatisfiable
% 27.64/7.13 |-Branch two:
% 27.64/7.13 | (1417) ~ (all_0_250_250 = e13)
% 27.64/7.13 | (795) all_0_254_254 = e13
% 27.64/7.13 |
% 27.64/7.13 | Combining equations (791,795) yields a new equation:
% 27.64/7.13 | (959) e13 = e11
% 27.64/7.13 |
% 27.64/7.13 | Equations (959) can reduce 446 to:
% 27.64/7.13 | (537) $false
% 27.64/7.13 |
% 27.64/7.13 |-The branch is then unsatisfiable
% 27.64/7.13 |-Branch two:
% 27.64/7.13 | (1025) ~ (all_0_247_247 = e10)
% 27.64/7.13 | (1030) all_0_248_248 = e10 | all_0_249_249 = e10
% 27.64/7.13 |
% 27.64/7.13 +-Applying beta-rule and splitting (1030), into two cases.
% 27.64/7.13 |-Branch one:
% 27.64/7.13 | (910) all_0_248_248 = e10
% 27.64/7.13 |
% 27.64/7.13 | Combining equations (734,910) yields a new equation:
% 27.64/7.13 | (867) e11 = e10
% 27.64/7.13 |
% 27.64/7.13 | Simplifying 867 yields:
% 27.64/7.13 | (868) e11 = e10
% 27.64/7.13 |
% 27.64/7.13 | Equations (868) can reduce 293 to:
% 27.64/7.13 | (537) $false
% 27.64/7.13 |
% 27.64/7.13 |-The branch is then unsatisfiable
% 27.64/7.13 |-Branch two:
% 27.64/7.13 | (905) ~ (all_0_248_248 = e10)
% 27.64/7.13 | (861) all_0_249_249 = e10
% 27.64/7.13 |
% 27.64/7.13 | Combining equations (850,861) yields a new equation:
% 27.64/7.13 | (983) e13 = e10
% 27.64/7.13 |
% 27.64/7.13 | Simplifying 983 yields:
% 27.64/7.13 | (862) e13 = e10
% 27.64/7.13 |
% 27.64/7.13 | Equations (862) can reduce 210 to:
% 27.64/7.13 | (537) $false
% 27.64/7.13 |
% 27.64/7.13 |-The branch is then unsatisfiable
% 27.64/7.13 |-Branch two:
% 27.64/7.13 | (2009) ~ (all_0_256_256 = e12)
% 27.64/7.13 | (1021) all_0_256_256 = e10
% 27.64/7.13 |
% 27.64/7.13 | Equations (1021) can reduce 1521 to:
% 27.64/7.13 | (537) $false
% 27.64/7.13 |
% 27.64/7.13 |-The branch is then unsatisfiable
% 27.64/7.13 |-Branch two:
% 27.64/7.13 | (1181) ~ (all_0_249_249 = e13)
% 27.64/7.13 | (1182) all_0_253_253 = e13 | all_0_257_257 = e13
% 27.64/7.13 |
% 27.64/7.13 +-Applying beta-rule and splitting (335), into two cases.
% 27.64/7.13 |-Branch one:
% 27.64/7.13 | (1005) all_0_249_249 = e11
% 27.64/7.13 |
% 27.64/7.13 | Equations (1005) can reduce 694 to:
% 27.64/7.13 | (537) $false
% 27.64/7.13 |
% 27.64/7.13 |-The branch is then unsatisfiable
% 27.64/7.13 |-Branch two:
% 27.64/7.13 | (694) ~ (all_0_249_249 = e11)
% 27.64/7.13 | (1250) all_0_249_249 = e13 | all_0_249_249 = e10
% 27.64/7.13 |
% 27.64/7.13 +-Applying beta-rule and splitting (1182), into two cases.
% 27.64/7.13 |-Branch one:
% 27.64/7.13 | (1183) all_0_253_253 = e13
% 27.64/7.13 |
% 27.64/7.13 | Combining equations (1183,693) yields a new equation:
% 27.64/7.13 | (958) e13 = e11
% 27.64/7.13 |
% 27.64/7.13 | Simplifying 958 yields:
% 27.64/7.13 | (959) e13 = e11
% 27.64/7.13 |
% 27.64/7.13 | Equations (959) can reduce 446 to:
% 27.64/7.13 | (537) $false
% 27.64/7.13 |
% 27.64/7.13 |-The branch is then unsatisfiable
% 27.64/7.13 |-Branch two:
% 27.64/7.13 | (1186) ~ (all_0_253_253 = e13)
% 27.64/7.13 | (1187) all_0_257_257 = e13
% 27.64/7.13 |
% 27.64/7.13 | Equations (1187) can reduce 61 to:
% 27.64/7.13 | (1181) ~ (all_0_249_249 = e13)
% 27.64/7.13 |
% 27.64/7.13 | Equations (1187) can reduce 386 to:
% 27.64/7.13 | (1189) ~ (all_0_255_255 = e13)
% 27.64/7.13 |
% 27.64/7.13 | Equations (1187) can reduce 227 to:
% 27.64/7.13 | (36) ~ (all_0_256_256 = e13)
% 27.64/7.13 |
% 27.64/7.13 | Equations (1187) can reduce 384 to:
% 27.64/7.13 | (305) ~ (e13 = e12)
% 27.64/7.13 |
% 27.64/7.13 | From (1187) and (148) follows:
% 27.64/7.13 | (1212) op1(e13, e11) = all_0_232_232
% 27.64/7.13 |
% 27.64/7.13 | From (1187) and (331) follows:
% 27.64/7.13 | (1214) op1(e13, e13) = all_0_198_198
% 27.64/7.13 |
% 27.64/7.13 | From (1187) and (121) follows:
% 27.64/7.13 | (1215) op1(e12, e13) = all_0_199_199
% 27.64/7.13 |
% 27.64/7.13 +-Applying beta-rule and splitting (1250), into two cases.
% 27.64/7.13 |-Branch one:
% 27.64/7.13 | (850) all_0_249_249 = e13
% 27.64/7.13 |
% 27.64/7.13 | Equations (850) can reduce 1181 to:
% 27.64/7.13 | (537) $false
% 27.64/7.13 |
% 27.64/7.13 |-The branch is then unsatisfiable
% 27.64/7.13 |-Branch two:
% 27.64/7.13 | (1181) ~ (all_0_249_249 = e13)
% 27.64/7.13 | (861) all_0_249_249 = e10
% 27.64/7.13 |
% 27.64/7.13 | Equations (861) can reduce 428 to:
% 27.64/7.13 | (116) ~ (all_0_246_246 = e10)
% 27.64/7.14 |
% 27.64/7.14 | Equations (861) can reduce 694 to:
% 27.64/7.14 | (906) ~ (e11 = e10)
% 27.64/7.14 |
% 27.64/7.14 | Simplifying 906 yields:
% 27.64/7.14 | (293) ~ (e11 = e10)
% 27.64/7.14 |
% 27.64/7.14 | From (861) and (209) follows:
% 27.64/7.14 | (1285) op1(e13, e10) = all_0_211_211
% 27.64/7.14 |
% 27.64/7.14 | From (861) and (260) follows:
% 27.64/7.14 | (1286) op1(e13, e10) = e10
% 27.64/7.14 |
% 27.64/7.14 | From (861) and (348) follows:
% 27.64/7.14 | (1287) op1(e12, e10) = all_0_174_174
% 27.64/7.14 |
% 27.64/7.14 | Instantiating formula (144) with e13, e13, all_0_198_198, all_0_246_246 and discharging atoms op1(e13, e13) = all_0_198_198, op1(e13, e13) = all_0_246_246, yields:
% 27.64/7.14 | (2041) all_0_198_198 = all_0_246_246
% 27.64/7.14 |
% 27.64/7.14 | Instantiating formula (144) with e13, e11, all_0_232_232, e11 and discharging atoms op1(e13, e11) = all_0_232_232, op1(e13, e11) = e11, yields:
% 27.64/7.14 | (2042) all_0_232_232 = e11
% 27.64/7.14 |
% 27.64/7.14 | Instantiating formula (144) with e13, e10, e10, all_0_211_211 and discharging atoms op1(e13, e10) = all_0_211_211, op1(e13, e10) = e10, yields:
% 27.64/7.14 | (1321) all_0_211_211 = e10
% 27.64/7.14 |
% 27.64/7.14 | Instantiating formula (144) with e12, e13, all_0_199_199, all_0_250_250 and discharging atoms op1(e12, e13) = all_0_199_199, op1(e12, e13) = all_0_250_250, yields:
% 27.64/7.14 | (2044) all_0_199_199 = all_0_250_250
% 27.64/7.14 |
% 27.64/7.14 | Instantiating formula (144) with e12, e10, all_0_174_174, e11 and discharging atoms op1(e12, e10) = all_0_174_174, op1(e12, e10) = e11, yields:
% 27.64/7.14 | (2045) all_0_174_174 = e11
% 27.64/7.14 |
% 27.64/7.14 | From (2041) and (1214) follows:
% 27.64/7.14 | (367) op1(e13, e13) = all_0_246_246
% 27.64/7.14 |
% 27.64/7.14 | From (2044) and (1215) follows:
% 27.64/7.14 | (284) op1(e12, e13) = all_0_250_250
% 27.64/7.14 |
% 27.64/7.14 | From (2045) and (1287) follows:
% 27.64/7.14 | (703) op1(e12, e10) = e11
% 27.64/7.14 |
% 27.64/7.14 +-Applying beta-rule and splitting (433), into two cases.
% 27.64/7.14 |-Branch one:
% 27.64/7.14 | (927) all_0_248_248 = e12
% 27.64/7.14 |
% 27.64/7.14 | Combining equations (734,927) yields a new equation:
% 27.64/7.14 | (772) e12 = e11
% 27.64/7.14 |
% 27.64/7.14 | Equations (772) can reduce 113 to:
% 27.64/7.14 | (537) $false
% 27.64/7.14 |
% 27.64/7.14 |-The branch is then unsatisfiable
% 27.64/7.14 |-Branch two:
% 27.64/7.14 | (1013) ~ (all_0_248_248 = e12)
% 27.64/7.14 | (1014) all_0_252_252 = e12 | all_0_256_256 = e12
% 27.64/7.14 |
% 27.64/7.14 | Equations (734) can reduce 1013 to:
% 27.64/7.14 | (698) ~ (e12 = e11)
% 27.64/7.14 |
% 27.64/7.14 | Simplifying 698 yields:
% 27.64/7.14 | (113) ~ (e12 = e11)
% 27.64/7.14 |
% 27.64/7.14 +-Applying beta-rule and splitting (329), into two cases.
% 27.64/7.14 |-Branch one:
% 27.64/7.14 | (798) all_0_254_254 = e12
% 27.64/7.14 |
% 27.64/7.14 | Combining equations (791,798) yields a new equation:
% 27.64/7.14 | (772) e12 = e11
% 27.64/7.14 |
% 27.64/7.14 | Equations (772) can reduce 113 to:
% 27.64/7.14 | (537) $false
% 27.64/7.14 |
% 27.64/7.14 |-The branch is then unsatisfiable
% 27.64/7.14 |-Branch two:
% 27.64/7.14 | (1426) ~ (all_0_254_254 = e12)
% 27.64/7.14 | (1443) all_0_255_255 = e12 | all_0_256_256 = e12
% 27.64/7.14 |
% 27.64/7.14 | Equations (791) can reduce 1426 to:
% 27.64/7.14 | (698) ~ (e12 = e11)
% 27.64/7.14 |
% 27.64/7.14 | Simplifying 698 yields:
% 27.64/7.14 | (113) ~ (e12 = e11)
% 27.64/7.14 |
% 27.64/7.14 +-Applying beta-rule and splitting (404), into two cases.
% 27.64/7.14 |-Branch one:
% 27.64/7.14 | (770) all_0_246_246 = e12
% 27.64/7.14 |
% 27.64/7.14 | Equations (770) can reduce 248 to:
% 27.64/7.14 | (2064) ~ (all_0_247_247 = e12)
% 27.64/7.14 |
% 27.64/7.14 | Simplifying 2064 yields:
% 27.64/7.14 | (1150) ~ (all_0_247_247 = e12)
% 27.64/7.14 |
% 27.64/7.14 | Equations (770) can reduce 47 to:
% 27.64/7.14 | (2066) ~ (all_0_250_250 = e12)
% 27.64/7.14 |
% 27.64/7.14 | Simplifying 2066 yields:
% 27.64/7.14 | (1156) ~ (all_0_250_250 = e12)
% 27.64/7.14 |
% 27.64/7.14 | Equations (770) can reduce 116 to:
% 27.64/7.14 | (8) ~ (e12 = e10)
% 27.64/7.14 |
% 27.64/7.14 | From (770) and (367) follows:
% 27.64/7.14 | (1832) op1(e13, e13) = e12
% 27.64/7.14 |
% 27.64/7.14 +-Applying beta-rule and splitting (719), into two cases.
% 27.64/7.14 |-Branch one:
% 27.64/7.14 | (776) all_0_250_250 = e13
% 27.64/7.14 |
% 27.64/7.14 | Equations (776) can reduce 224 to:
% 27.64/7.14 | (777) ~ (all_0_251_251 = e13)
% 27.64/7.14 |
% 27.64/7.14 | Simplifying 777 yields:
% 27.64/7.14 | (778) ~ (all_0_251_251 = e13)
% 27.64/7.14 |
% 27.64/7.14 | From (776) and (173) follows:
% 27.64/7.14 | (787) op1(e12, e13) = all_0_214_214
% 27.64/7.14 |
% 27.64/7.14 | From (776) and (284) follows:
% 27.64/7.14 | (788) op1(e12, e13) = e13
% 27.64/7.14 |
% 27.64/7.14 +-Applying beta-rule and splitting (286), into two cases.
% 27.64/7.14 |-Branch one:
% 27.64/7.14 | (1191) all_0_247_247 = e13
% 27.64/7.14 |
% 27.64/7.14 | Equations (1191) can reduce 296 to:
% 27.64/7.14 | (777) ~ (all_0_251_251 = e13)
% 27.64/7.14 |
% 27.64/7.14 | Simplifying 777 yields:
% 27.64/7.14 | (778) ~ (all_0_251_251 = e13)
% 27.64/7.14 |
% 27.64/7.14 | Equations (1191) can reduce 240 to:
% 27.64/7.14 | (1196) ~ (all_0_255_255 = e13)
% 27.64/7.14 |
% 27.64/7.14 | Simplifying 1196 yields:
% 27.64/7.14 | (1189) ~ (all_0_255_255 = e13)
% 27.64/7.14 |
% 27.64/7.14 | Equations (1191) can reduce 1150 to:
% 27.64/7.14 | (305) ~ (e13 = e12)
% 27.64/7.14 |
% 27.64/7.14 | From (1191) and (213) follows:
% 27.64/7.14 | (2081) op1(e13, e13) = all_0_205_205
% 27.64/7.14 |
% 27.64/7.14 | Instantiating formula (144) with e13, e13, e12, all_0_205_205 and discharging atoms op1(e13, e13) = all_0_205_205, op1(e13, e13) = e12, yields:
% 27.64/7.14 | (2082) all_0_205_205 = e12
% 27.64/7.14 |
% 27.64/7.14 | Instantiating formula (144) with e12, e13, e13, all_0_214_214 and discharging atoms op1(e12, e13) = all_0_214_214, op1(e12, e13) = e13, yields:
% 27.64/7.14 | (816) all_0_214_214 = e13
% 27.64/7.14 |
% 27.64/7.14 +-Applying beta-rule and splitting (141), into two cases.
% 27.64/7.14 |-Branch one:
% 27.64/7.14 | (738) all_0_252_252 = e11
% 27.64/7.14 |
% 27.64/7.14 | Equations (738) can reduce 697 to:
% 27.64/7.14 | (537) $false
% 27.64/7.14 |
% 27.64/7.14 |-The branch is then unsatisfiable
% 27.64/7.14 |-Branch two:
% 27.64/7.14 | (697) ~ (all_0_252_252 = e11)
% 27.64/7.14 | (769) all_0_252_252 = e12 | all_0_252_252 = e10
% 27.64/7.14 |
% 27.64/7.14 +-Applying beta-rule and splitting (372), into two cases.
% 27.64/7.14 |-Branch one:
% 27.64/7.14 | (1011) all_0_251_251 = e10
% 27.64/7.14 |
% 27.64/7.14 | Equations (1011) can reduce 458 to:
% 27.64/7.14 | (1037) ~ (all_0_252_252 = e10)
% 27.64/7.14 |
% 27.64/7.14 | Simplifying 1037 yields:
% 27.64/7.14 | (1020) ~ (all_0_252_252 = e10)
% 27.64/7.14 |
% 27.64/7.14 | Equations (1011) can reduce 108 to:
% 27.64/7.14 | (906) ~ (e11 = e10)
% 27.64/7.14 |
% 27.64/7.14 | Simplifying 906 yields:
% 27.64/7.14 | (293) ~ (e11 = e10)
% 27.64/7.14 |
% 27.64/7.14 | From (1011) and (89) follows:
% 27.64/7.14 | (1034) op1(e12, e12) = e10
% 27.64/7.14 |
% 27.64/7.14 +-Applying beta-rule and splitting (409), into two cases.
% 27.64/7.14 |-Branch one:
% 27.64/7.14 | (910) all_0_248_248 = e10
% 27.64/7.14 |
% 27.64/7.14 | Combining equations (734,910) yields a new equation:
% 27.64/7.14 | (867) e11 = e10
% 27.64/7.14 |
% 27.64/7.14 | Simplifying 867 yields:
% 27.64/7.14 | (868) e11 = e10
% 27.64/7.14 |
% 27.64/7.14 | Equations (868) can reduce 293 to:
% 27.64/7.14 | (537) $false
% 27.64/7.14 |
% 27.64/7.14 |-The branch is then unsatisfiable
% 27.64/7.14 |-Branch two:
% 27.64/7.14 | (905) ~ (all_0_248_248 = e10)
% 27.64/7.14 | (913) all_0_252_252 = e10 | all_0_256_256 = e10
% 27.64/7.14 |
% 27.64/7.14 +-Applying beta-rule and splitting (58), into two cases.
% 27.64/7.14 |-Branch one:
% 27.64/7.14 | (1051) all_0_247_247 = e12
% 27.64/7.14 |
% 27.64/7.14 | Combining equations (1191,1051) yields a new equation:
% 27.64/7.14 | (832) e13 = e12
% 27.64/7.14 |
% 27.64/7.14 | Simplifying 832 yields:
% 27.64/7.14 | (833) e13 = e12
% 27.64/7.14 |
% 27.64/7.14 | Equations (833) can reduce 305 to:
% 27.64/7.14 | (537) $false
% 27.64/7.14 |
% 27.64/7.14 |-The branch is then unsatisfiable
% 27.64/7.14 |-Branch two:
% 27.64/7.14 | (1150) ~ (all_0_247_247 = e12)
% 27.64/7.14 | (1151) all_0_251_251 = e12 | all_0_255_255 = e12
% 27.64/7.14 |
% 27.64/7.14 +-Applying beta-rule and splitting (1151), into two cases.
% 27.64/7.14 |-Branch one:
% 27.64/7.14 | (933) all_0_251_251 = e12
% 27.64/7.14 |
% 27.64/7.14 | Combining equations (933,1011) yields a new equation:
% 27.64/7.14 | (1159) e12 = e10
% 27.64/7.14 |
% 27.64/7.14 | Simplifying 1159 yields:
% 27.64/7.14 | (952) e12 = e10
% 27.64/7.14 |
% 27.64/7.14 | Equations (952) can reduce 8 to:
% 27.64/7.14 | (537) $false
% 27.64/7.14 |
% 27.64/7.14 |-The branch is then unsatisfiable
% 27.64/7.14 |-Branch two:
% 27.64/7.14 | (1010) ~ (all_0_251_251 = e12)
% 27.64/7.14 | (1403) all_0_255_255 = e12
% 27.64/7.14 |
% 27.64/7.14 | Combining equations (1403,708) yields a new equation:
% 27.64/7.14 | (1472) all_0_221_221 = e12
% 27.64/7.14 |
% 27.64/7.14 | From (1403) and (437) follows:
% 27.64/7.14 | (1478) op1(e12, e12) = all_0_226_226
% 27.64/7.14 |
% 27.64/7.14 | From (1403) and (166) follows:
% 27.64/7.14 | (2114) op1(e11, e12) = all_0_228_228
% 27.64/7.14 |
% 27.64/7.14 | From (1403) and (126) follows:
% 27.64/7.14 | (2115) op1(e11, e12) = e12
% 27.64/7.14 |
% 27.64/7.14 +-Applying beta-rule and splitting (274), into two cases.
% 27.64/7.14 |-Branch one:
% 27.64/7.14 | (741) all_0_256_256 = e11
% 27.64/7.14 |
% 27.64/7.14 | Equations (741) can reduce 1720 to:
% 27.64/7.14 | (537) $false
% 27.64/7.14 |
% 27.64/7.14 |-The branch is then unsatisfiable
% 27.64/7.14 |-Branch two:
% 27.64/7.14 | (1720) ~ (all_0_256_256 = e11)
% 27.64/7.14 | (1776) all_0_256_256 = e12 | all_0_256_256 = e10
% 27.64/7.14 |
% 27.64/7.14 +-Applying beta-rule and splitting (769), into two cases.
% 27.64/7.14 |-Branch one:
% 27.64/7.14 | (1056) all_0_252_252 = e12
% 27.64/7.14 |
% 27.64/7.14 | Equations (1056) can reduce 162 to:
% 27.64/7.14 | (2121) ~ (all_0_256_256 = e12)
% 27.64/7.14 |
% 27.64/7.14 | Simplifying 2121 yields:
% 27.64/7.14 | (2009) ~ (all_0_256_256 = e12)
% 27.64/7.14 |
% 27.64/7.14 | Equations (1056) can reduce 1020 to:
% 27.64/7.14 | (8) ~ (e12 = e10)
% 27.64/7.14 |
% 27.64/7.14 | From (1056) and (190) follows:
% 27.64/7.14 | (1061) op1(e12, e12) = all_0_218_218
% 27.64/7.14 |
% 27.64/7.14 | From (1056) and (435) follows:
% 27.64/7.14 | (1062) op1(e12, e12) = all_0_219_219
% 27.64/7.14 |
% 27.64/7.14 +-Applying beta-rule and splitting (913), into two cases.
% 27.64/7.14 |-Branch one:
% 27.64/7.14 | (918) all_0_252_252 = e10
% 27.64/7.14 |
% 27.64/7.14 | Combining equations (1056,918) yields a new equation:
% 27.64/7.14 | (1159) e12 = e10
% 27.64/7.14 |
% 27.64/7.14 | Simplifying 1159 yields:
% 27.64/7.14 | (952) e12 = e10
% 27.64/7.14 |
% 27.64/7.14 | Equations (952) can reduce 8 to:
% 27.64/7.14 | (537) $false
% 27.64/7.14 |
% 27.64/7.14 |-The branch is then unsatisfiable
% 27.64/7.14 |-Branch two:
% 27.64/7.14 | (1020) ~ (all_0_252_252 = e10)
% 27.64/7.14 | (1021) all_0_256_256 = e10
% 27.64/7.14 |
% 27.64/7.14 | Combining equations (1021,1731) yields a new equation:
% 27.64/7.14 | (919) all_0_224_224 = e10
% 27.64/7.14 |
% 27.64/7.14 | Equations (1021) can reduce 36 to:
% 27.64/7.14 | (872) ~ (e13 = e10)
% 27.64/7.14 |
% 27.64/7.14 | Simplifying 872 yields:
% 27.64/7.14 | (210) ~ (e13 = e10)
% 27.64/7.14 |
% 27.64/7.14 | Equations (1021) can reduce 2009 to:
% 27.64/7.14 | (874) ~ (e12 = e10)
% 27.64/7.14 |
% 27.64/7.14 | Simplifying 874 yields:
% 27.64/7.14 | (8) ~ (e12 = e10)
% 27.64/7.14 |
% 27.64/7.14 | Equations (1021) can reduce 1720 to:
% 27.64/7.14 | (906) ~ (e11 = e10)
% 27.64/7.14 |
% 27.64/7.14 | Simplifying 906 yields:
% 27.64/7.14 | (293) ~ (e11 = e10)
% 27.64/7.14 |
% 27.64/7.14 | Instantiating formula (144) with e12, e12, all_0_219_219, all_0_218_218 and discharging atoms op1(e12, e12) = all_0_218_218, op1(e12, e12) = all_0_219_219, yields:
% 27.64/7.14 | (1072) all_0_218_218 = all_0_219_219
% 27.64/7.14 |
% 27.64/7.15 | Instantiating formula (144) with e12, e12, all_0_226_226, all_0_218_218 and discharging atoms op1(e12, e12) = all_0_218_218, op1(e12, e12) = all_0_226_226, yields:
% 27.64/7.15 | (2140) all_0_218_218 = all_0_226_226
% 27.64/7.15 |
% 27.64/7.15 | Instantiating formula (144) with e12, e12, e10, all_0_218_218 and discharging atoms op1(e12, e12) = all_0_218_218, op1(e12, e12) = e10, yields:
% 27.64/7.15 | (1067) all_0_218_218 = e10
% 27.64/7.15 |
% 27.64/7.15 | Instantiating formula (144) with e11, e12, e12, all_0_228_228 and discharging atoms op1(e11, e12) = all_0_228_228, op1(e11, e12) = e12, yields:
% 27.64/7.15 | (893) all_0_228_228 = e12
% 27.64/7.15 |
% 27.64/7.15 | Combining equations (1067,1072) yields a new equation:
% 27.64/7.15 | (1073) all_0_219_219 = e10
% 27.64/7.15 |
% 27.64/7.15 | Combining equations (2140,1072) yields a new equation:
% 27.64/7.15 | (2144) all_0_219_219 = all_0_226_226
% 27.64/7.15 |
% 27.64/7.15 | Combining equations (1073,2144) yields a new equation:
% 27.64/7.15 | (2145) all_0_226_226 = e10
% 27.64/7.15 |
% 27.64/7.15 | Combining equations (2145,2144) yields a new equation:
% 27.64/7.15 | (1073) all_0_219_219 = e10
% 27.64/7.15 |
% 27.64/7.15 | Combining equations (1073,1072) yields a new equation:
% 27.64/7.15 | (1067) all_0_218_218 = e10
% 27.64/7.15 |
% 27.64/7.15 +-Applying beta-rule and splitting (257), into two cases.
% 27.64/7.15 |-Branch one:
% 27.64/7.15 | (940) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)) | (all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10))
% 27.64/7.15 |
% 27.64/7.15 +-Applying beta-rule and splitting (940), into two cases.
% 27.64/7.15 |-Branch one:
% 27.64/7.15 | (941) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12))
% 27.64/7.15 |
% 27.64/7.15 +-Applying beta-rule and splitting (941), into two cases.
% 27.64/7.15 |-Branch one:
% 27.64/7.15 | (942) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13))
% 27.64/7.15 |
% 27.64/7.15 +-Applying beta-rule and splitting (942), into two cases.
% 27.64/7.15 |-Branch one:
% 27.64/7.15 | (943) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10))
% 27.64/7.15 |
% 27.64/7.15 +-Applying beta-rule and splitting (943), into two cases.
% 27.64/7.15 |-Branch one:
% 27.64/7.15 | (944) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11))
% 27.64/7.15 |
% 27.64/7.15 +-Applying beta-rule and splitting (944), into two cases.
% 27.64/7.15 |-Branch one:
% 27.64/7.15 | (945) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13))
% 27.64/7.15 |
% 27.64/7.15 +-Applying beta-rule and splitting (945), into two cases.
% 27.64/7.15 |-Branch one:
% 27.64/7.15 | (946) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10))
% 27.64/7.15 |
% 27.64/7.15 +-Applying beta-rule and splitting (946), into two cases.
% 27.64/7.15 |-Branch one:
% 27.64/7.15 | (947) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11))
% 27.64/7.15 |
% 27.64/7.15 +-Applying beta-rule and splitting (947), into two cases.
% 27.64/7.15 |-Branch one:
% 27.64/7.15 | (948) all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)
% 27.64/7.15 |
% 27.64/7.15 | Applying alpha-rule on (948) yields:
% 27.64/7.15 | (949) all_0_204_204 = e12
% 27.64/7.15 | (950) ~ (all_0_203_203 = e13)
% 27.64/7.15 | (951) ~ (all_0_205_205 = e12)
% 27.64/7.15 |
% 27.64/7.15 | Equations (2082) can reduce 951 to:
% 27.64/7.15 | (537) $false
% 27.64/7.15 |
% 27.64/7.15 |-The branch is then unsatisfiable
% 27.64/7.15 |-Branch two:
% 27.64/7.15 | (954) all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)
% 27.64/7.15 |
% 27.64/7.15 | Applying alpha-rule on (954) yields:
% 27.64/7.15 | (955) all_0_207_207 = e11
% 27.64/7.15 | (956) ~ (all_0_206_206 = e13)
% 27.64/7.15 | (957) ~ (all_0_208_208 = e11)
% 27.64/7.15 |
% 27.64/7.15 | Equations (1741) can reduce 957 to:
% 27.64/7.15 | (537) $false
% 27.64/7.15 |
% 27.64/7.15 |-The branch is then unsatisfiable
% 27.64/7.15 |-Branch two:
% 27.64/7.15 | (961) all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)
% 27.64/7.15 |
% 27.64/7.15 | Applying alpha-rule on (961) yields:
% 27.64/7.15 | (962) all_0_210_210 = e10
% 27.64/7.15 | (963) ~ (all_0_209_209 = e13)
% 27.64/7.15 | (964) ~ (all_0_211_211 = e10)
% 27.64/7.15 |
% 27.64/7.15 | Equations (1321) can reduce 964 to:
% 27.64/7.15 | (537) $false
% 27.64/7.15 |
% 27.64/7.15 |-The branch is then unsatisfiable
% 27.64/7.15 |-Branch two:
% 27.64/7.15 | (968) all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)
% 27.64/7.15 |
% 27.64/7.15 | Applying alpha-rule on (968) yields:
% 27.64/7.15 | (969) all_0_213_213 = e13
% 27.64/7.15 | (970) ~ (all_0_212_212 = e12)
% 27.64/7.15 | (971) ~ (all_0_214_214 = e13)
% 27.64/7.15 |
% 27.64/7.15 | Equations (816) can reduce 971 to:
% 27.64/7.15 | (537) $false
% 27.64/7.15 |
% 27.64/7.15 |-The branch is then unsatisfiable
% 27.64/7.15 |-Branch two:
% 27.64/7.15 | (974) all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)
% 27.64/7.15 |
% 27.64/7.15 | Applying alpha-rule on (974) yields:
% 27.64/7.15 | (975) all_0_218_218 = e11
% 27.64/7.15 | (976) ~ (all_0_217_217 = e12)
% 27.64/7.15 | (977) ~ (all_0_219_219 = e11)
% 27.64/7.15 |
% 27.64/7.15 | Combining equations (1067,975) yields a new equation:
% 27.64/7.15 | (868) e11 = e10
% 27.64/7.15 |
% 27.64/7.15 | Equations (868) can reduce 293 to:
% 27.64/7.15 | (537) $false
% 27.64/7.15 |
% 27.64/7.15 |-The branch is then unsatisfiable
% 27.64/7.15 |-Branch two:
% 27.64/7.15 | (979) all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)
% 27.64/7.15 |
% 27.64/7.15 | Applying alpha-rule on (979) yields:
% 27.64/7.15 | (980) all_0_221_221 = e10
% 27.64/7.15 | (981) ~ (all_0_220_220 = e12)
% 27.64/7.15 | (982) ~ (all_0_222_222 = e10)
% 27.64/7.15 |
% 27.64/7.15 | Combining equations (980,1472) yields a new equation:
% 27.64/7.15 | (952) e12 = e10
% 27.64/7.15 |
% 27.64/7.15 | Equations (952) can reduce 8 to:
% 27.64/7.15 | (537) $false
% 27.64/7.15 |
% 27.64/7.15 |-The branch is then unsatisfiable
% 27.64/7.15 |-Branch two:
% 27.64/7.15 | (986) all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)
% 27.64/7.15 |
% 27.64/7.15 | Applying alpha-rule on (986) yields:
% 27.64/7.15 | (987) all_0_224_224 = e13
% 27.64/7.15 | (988) ~ (all_0_223_223 = e11)
% 27.93/7.15 | (989) ~ (all_0_225_225 = e13)
% 27.93/7.15 |
% 27.93/7.15 | Combining equations (919,987) yields a new equation:
% 27.93/7.15 | (862) e13 = e10
% 27.93/7.15 |
% 27.93/7.15 | Equations (862) can reduce 210 to:
% 27.93/7.15 | (537) $false
% 27.93/7.15 |
% 27.93/7.15 |-The branch is then unsatisfiable
% 27.93/7.15 |-Branch two:
% 27.93/7.15 | (992) all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)
% 27.93/7.15 |
% 27.93/7.15 | Applying alpha-rule on (992) yields:
% 27.93/7.15 | (993) all_0_227_227 = e12
% 27.93/7.15 | (994) ~ (all_0_226_226 = e11)
% 27.93/7.15 | (995) ~ (all_0_228_228 = e12)
% 27.93/7.15 |
% 27.93/7.15 | Equations (893) can reduce 995 to:
% 27.93/7.15 | (537) $false
% 27.93/7.15 |
% 27.93/7.15 |-The branch is then unsatisfiable
% 27.93/7.15 |-Branch two:
% 27.93/7.15 | (997) all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10)
% 27.93/7.15 |
% 27.93/7.15 | Applying alpha-rule on (997) yields:
% 27.93/7.15 | (998) all_0_232_232 = e10
% 27.93/7.15 | (999) ~ (all_0_231_231 = e11)
% 27.93/7.15 | (1000) ~ (all_0_233_233 = e10)
% 27.93/7.15 |
% 27.93/7.15 | Combining equations (2042,998) yields a new equation:
% 27.93/7.15 | (867) e11 = e10
% 27.93/7.15 |
% 27.93/7.15 | Simplifying 867 yields:
% 27.93/7.15 | (868) e11 = e10
% 27.93/7.15 |
% 27.93/7.15 | Equations (868) can reduce 293 to:
% 27.93/7.15 | (537) $false
% 27.93/7.15 |
% 27.93/7.15 |-The branch is then unsatisfiable
% 27.93/7.15 |-Branch two:
% 27.93/7.15 | (1004) all_0_249_249 = e11 & ~ (all_0_248_248 = e10)
% 27.93/7.15 |
% 27.93/7.15 | Applying alpha-rule on (1004) yields:
% 27.93/7.15 | (1005) all_0_249_249 = e11
% 27.93/7.15 | (905) ~ (all_0_248_248 = e10)
% 27.93/7.15 |
% 27.93/7.15 | Combining equations (861,1005) yields a new equation:
% 27.93/7.15 | (868) e11 = e10
% 27.93/7.15 |
% 27.93/7.15 | Equations (868) can reduce 293 to:
% 27.93/7.15 | (537) $false
% 27.93/7.15 |
% 27.93/7.15 |-The branch is then unsatisfiable
% 27.93/7.15 |-Branch two:
% 27.93/7.15 | (1147) ~ (all_0_252_252 = e12)
% 27.93/7.15 | (918) all_0_252_252 = e10
% 27.93/7.15 |
% 27.93/7.15 | Equations (918) can reduce 1020 to:
% 27.93/7.15 | (537) $false
% 27.93/7.15 |
% 27.93/7.15 |-The branch is then unsatisfiable
% 27.93/7.15 |-Branch two:
% 27.93/7.15 | (921) ~ (all_0_251_251 = e10)
% 27.93/7.15 | (1226) all_0_252_252 = e10 | all_0_253_253 = e10
% 27.93/7.15 |
% 27.93/7.15 +-Applying beta-rule and splitting (1226), into two cases.
% 27.93/7.15 |-Branch one:
% 27.93/7.15 | (918) all_0_252_252 = e10
% 27.93/7.15 |
% 27.93/7.15 | Combining equations (918,707) yields a new equation:
% 27.93/7.15 | (1290) all_0_222_222 = e10
% 27.93/7.15 |
% 27.93/7.15 | From (918) and (319) follows:
% 27.93/7.15 | (1297) op1(e10, e11) = all_0_217_217
% 27.93/7.15 |
% 27.93/7.15 | From (918) and (435) follows:
% 27.93/7.15 | (926) op1(e12, e10) = all_0_219_219
% 27.93/7.15 |
% 27.93/7.15 +-Applying beta-rule and splitting (1014), into two cases.
% 27.93/7.15 |-Branch one:
% 27.93/7.15 | (1056) all_0_252_252 = e12
% 27.93/7.15 |
% 27.93/7.15 | Combining equations (1056,918) yields a new equation:
% 27.93/7.15 | (1159) e12 = e10
% 27.93/7.15 |
% 27.93/7.15 | Simplifying 1159 yields:
% 27.93/7.15 | (952) e12 = e10
% 27.93/7.15 |
% 27.93/7.15 | Equations (952) can reduce 8 to:
% 27.93/7.15 | (537) $false
% 27.93/7.15 |
% 27.93/7.15 |-The branch is then unsatisfiable
% 27.93/7.15 |-Branch two:
% 27.93/7.15 | (1147) ~ (all_0_252_252 = e12)
% 27.93/7.15 | (1676) all_0_256_256 = e12
% 27.93/7.15 |
% 27.93/7.16 | Combining equations (1676,1731) yields a new equation:
% 27.93/7.16 | (1057) all_0_224_224 = e12
% 27.93/7.16 |
% 27.93/7.16 | Equations (1676) can reduce 312 to:
% 27.93/7.16 | (800) ~ (all_0_255_255 = e12)
% 27.93/7.16 |
% 27.93/7.16 | Equations (1676) can reduce 36 to:
% 27.93/7.16 | (803) ~ (e13 = e12)
% 27.93/7.16 |
% 27.93/7.16 | Simplifying 803 yields:
% 27.93/7.16 | (305) ~ (e13 = e12)
% 27.93/7.16 |
% 27.93/7.16 +-Applying beta-rule and splitting (237), into two cases.
% 27.93/7.16 |-Branch one:
% 27.93/7.16 | (839) all_0_255_255 = e13
% 27.93/7.16 |
% 27.93/7.16 | Equations (839) can reduce 1189 to:
% 27.93/7.16 | (537) $false
% 27.93/7.16 |
% 27.93/7.16 |-The branch is then unsatisfiable
% 27.93/7.16 |-Branch two:
% 27.93/7.16 | (1189) ~ (all_0_255_255 = e13)
% 27.93/7.16 | (1190) all_0_255_255 = e12 | all_0_255_255 = e10
% 27.93/7.16 |
% 27.93/7.16 +-Applying beta-rule and splitting (53), into two cases.
% 27.93/7.16 |-Branch one:
% 27.93/7.16 | (1178) all_0_255_255 = e10
% 27.93/7.16 |
% 27.93/7.16 | Equations (1178) can reduce 800 to:
% 27.93/7.16 | (874) ~ (e12 = e10)
% 27.93/7.16 |
% 27.93/7.16 | Simplifying 874 yields:
% 27.93/7.16 | (8) ~ (e12 = e10)
% 27.93/7.16 |
% 27.93/7.16 | Equations (1178) can reduce 134 to:
% 27.93/7.16 | (906) ~ (e11 = e10)
% 27.93/7.16 |
% 27.93/7.16 | Simplifying 906 yields:
% 27.93/7.16 | (293) ~ (e11 = e10)
% 27.93/7.16 |
% 27.93/7.16 | From (1178) and (299) follows:
% 27.93/7.16 | (1261) op1(e10, e11) = all_0_227_227
% 27.93/7.16 |
% 27.93/7.16 +-Applying beta-rule and splitting (58), into two cases.
% 27.93/7.16 |-Branch one:
% 27.93/7.16 | (1051) all_0_247_247 = e12
% 27.93/7.16 |
% 27.93/7.16 | Combining equations (1191,1051) yields a new equation:
% 27.93/7.16 | (832) e13 = e12
% 27.93/7.16 |
% 27.93/7.16 | Simplifying 832 yields:
% 27.93/7.16 | (833) e13 = e12
% 27.93/7.16 |
% 27.93/7.16 | Equations (833) can reduce 305 to:
% 27.93/7.16 | (537) $false
% 27.93/7.16 |
% 27.93/7.16 |-The branch is then unsatisfiable
% 27.93/7.16 |-Branch two:
% 27.93/7.16 | (1150) ~ (all_0_247_247 = e12)
% 27.93/7.16 | (1151) all_0_251_251 = e12 | all_0_255_255 = e12
% 27.93/7.16 |
% 27.93/7.16 | Equations (1191) can reduce 1150 to:
% 27.93/7.16 | (305) ~ (e13 = e12)
% 27.93/7.16 |
% 27.93/7.16 +-Applying beta-rule and splitting (180), into two cases.
% 27.93/7.16 |-Branch one:
% 27.93/7.16 | (929) all_0_251_251 = e13
% 27.93/7.16 |
% 27.93/7.16 | Equations (929) can reduce 778 to:
% 27.93/7.16 | (537) $false
% 27.93/7.16 |
% 27.93/7.16 |-The branch is then unsatisfiable
% 27.93/7.16 |-Branch two:
% 27.93/7.16 | (778) ~ (all_0_251_251 = e13)
% 27.93/7.16 | (932) all_0_251_251 = e12 | all_0_251_251 = e10
% 27.93/7.16 |
% 27.93/7.16 +-Applying beta-rule and splitting (476), into two cases.
% 27.93/7.16 |-Branch one:
% 27.93/7.16 | (1152) all_0_250_250 = e12
% 27.93/7.16 |
% 27.93/7.16 | Combining equations (776,1152) yields a new equation:
% 27.93/7.16 | (832) e13 = e12
% 27.93/7.16 |
% 27.93/7.16 | Simplifying 832 yields:
% 27.93/7.16 | (833) e13 = e12
% 27.93/7.16 |
% 27.93/7.16 | Equations (833) can reduce 305 to:
% 27.93/7.16 | (537) $false
% 27.93/7.16 |
% 27.93/7.16 |-The branch is then unsatisfiable
% 27.93/7.16 |-Branch two:
% 27.93/7.16 | (1156) ~ (all_0_250_250 = e12)
% 27.93/7.16 | (1157) all_0_251_251 = e12 | all_0_252_252 = e12
% 27.93/7.16 |
% 27.93/7.16 +-Applying beta-rule and splitting (1157), into two cases.
% 27.93/7.16 |-Branch one:
% 27.93/7.16 | (933) all_0_251_251 = e12
% 27.93/7.16 |
% 27.93/7.16 | Equations (933) can reduce 778 to:
% 27.93/7.16 | (803) ~ (e13 = e12)
% 27.93/7.16 |
% 27.93/7.16 | Simplifying 803 yields:
% 27.93/7.16 | (305) ~ (e13 = e12)
% 27.93/7.16 |
% 27.93/7.16 | Instantiating formula (144) with e12, e10, all_0_219_219, e11 and discharging atoms op1(e12, e10) = all_0_219_219, op1(e12, e10) = e11, yields:
% 27.93/7.16 | (939) all_0_219_219 = e11
% 27.93/7.16 |
% 27.93/7.16 | Instantiating formula (144) with e10, e11, all_0_217_217, e13 and discharging atoms op1(e10, e11) = all_0_217_217, op1(e10, e11) = e13, yields:
% 27.93/7.16 | (1313) all_0_217_217 = e13
% 27.93/7.16 |
% 27.93/7.16 | Instantiating formula (144) with e10, e11, all_0_227_227, all_0_217_217 and discharging atoms op1(e10, e11) = all_0_217_217, op1(e10, e11) = all_0_227_227, yields:
% 27.93/7.16 | (1314) all_0_217_217 = all_0_227_227
% 27.93/7.16 |
% 27.93/7.16 | Combining equations (1313,1314) yields a new equation:
% 27.93/7.16 | (1329) all_0_227_227 = e13
% 27.93/7.16 |
% 27.93/7.16 +-Applying beta-rule and splitting (257), into two cases.
% 27.93/7.16 |-Branch one:
% 27.93/7.16 | (940) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)) | (all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10))
% 27.93/7.16 |
% 27.93/7.16 +-Applying beta-rule and splitting (940), into two cases.
% 27.93/7.16 |-Branch one:
% 27.93/7.16 | (941) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12))
% 27.93/7.16 |
% 27.93/7.16 +-Applying beta-rule and splitting (941), into two cases.
% 27.93/7.16 |-Branch one:
% 27.93/7.16 | (942) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13))
% 27.93/7.16 |
% 27.93/7.16 +-Applying beta-rule and splitting (942), into two cases.
% 27.93/7.16 |-Branch one:
% 27.93/7.16 | (943) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10))
% 27.93/7.16 |
% 27.93/7.16 +-Applying beta-rule and splitting (943), into two cases.
% 27.93/7.16 |-Branch one:
% 27.93/7.16 | (944) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11))
% 27.93/7.16 |
% 27.93/7.16 +-Applying beta-rule and splitting (944), into two cases.
% 27.93/7.16 |-Branch one:
% 27.93/7.16 | (945) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13))
% 27.93/7.16 |
% 27.93/7.16 +-Applying beta-rule and splitting (945), into two cases.
% 27.93/7.16 |-Branch one:
% 27.93/7.16 | (946) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10))
% 27.93/7.16 |
% 27.93/7.16 +-Applying beta-rule and splitting (946), into two cases.
% 27.93/7.16 |-Branch one:
% 27.93/7.16 | (947) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11))
% 27.93/7.16 |
% 27.93/7.16 +-Applying beta-rule and splitting (947), into two cases.
% 27.93/7.16 |-Branch one:
% 27.93/7.16 | (948) all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)
% 27.93/7.16 |
% 27.93/7.16 | Applying alpha-rule on (948) yields:
% 27.93/7.16 | (949) all_0_204_204 = e12
% 27.93/7.16 | (950) ~ (all_0_203_203 = e13)
% 27.93/7.16 | (951) ~ (all_0_205_205 = e12)
% 27.93/7.16 |
% 27.93/7.16 | Equations (2082) can reduce 951 to:
% 27.93/7.16 | (537) $false
% 27.93/7.16 |
% 27.93/7.16 |-The branch is then unsatisfiable
% 27.93/7.16 |-Branch two:
% 27.93/7.16 | (954) all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)
% 27.93/7.16 |
% 27.93/7.16 | Applying alpha-rule on (954) yields:
% 27.93/7.16 | (955) all_0_207_207 = e11
% 27.93/7.16 | (956) ~ (all_0_206_206 = e13)
% 27.93/7.16 | (957) ~ (all_0_208_208 = e11)
% 27.93/7.16 |
% 27.93/7.16 | Equations (1741) can reduce 957 to:
% 27.93/7.16 | (537) $false
% 27.93/7.16 |
% 27.93/7.16 |-The branch is then unsatisfiable
% 27.93/7.16 |-Branch two:
% 27.93/7.16 | (961) all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)
% 27.93/7.16 |
% 27.93/7.16 | Applying alpha-rule on (961) yields:
% 27.93/7.16 | (962) all_0_210_210 = e10
% 27.93/7.16 | (963) ~ (all_0_209_209 = e13)
% 27.93/7.16 | (964) ~ (all_0_211_211 = e10)
% 27.93/7.16 |
% 27.93/7.16 | Equations (1321) can reduce 964 to:
% 27.93/7.16 | (537) $false
% 27.93/7.16 |
% 27.93/7.16 |-The branch is then unsatisfiable
% 27.93/7.16 |-Branch two:
% 27.93/7.16 | (968) all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)
% 27.93/7.16 |
% 27.93/7.16 | Applying alpha-rule on (968) yields:
% 27.93/7.16 | (969) all_0_213_213 = e13
% 27.93/7.16 | (970) ~ (all_0_212_212 = e12)
% 27.93/7.16 | (971) ~ (all_0_214_214 = e13)
% 27.93/7.16 |
% 27.93/7.16 | Equations (816) can reduce 971 to:
% 27.93/7.16 | (537) $false
% 27.93/7.16 |
% 27.93/7.16 |-The branch is then unsatisfiable
% 27.93/7.16 |-Branch two:
% 27.93/7.16 | (974) all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)
% 27.93/7.16 |
% 27.93/7.16 | Applying alpha-rule on (974) yields:
% 27.93/7.16 | (975) all_0_218_218 = e11
% 27.93/7.16 | (976) ~ (all_0_217_217 = e12)
% 27.93/7.16 | (977) ~ (all_0_219_219 = e11)
% 27.93/7.16 |
% 27.93/7.16 | Equations (939) can reduce 977 to:
% 27.93/7.16 | (537) $false
% 27.93/7.16 |
% 27.93/7.16 |-The branch is then unsatisfiable
% 27.93/7.16 |-Branch two:
% 27.93/7.16 | (979) all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)
% 27.93/7.16 |
% 27.93/7.16 | Applying alpha-rule on (979) yields:
% 27.93/7.16 | (980) all_0_221_221 = e10
% 27.93/7.16 | (981) ~ (all_0_220_220 = e12)
% 27.93/7.16 | (982) ~ (all_0_222_222 = e10)
% 27.93/7.16 |
% 27.93/7.16 | Equations (1290) can reduce 982 to:
% 27.93/7.16 | (537) $false
% 27.93/7.16 |
% 27.93/7.16 |-The branch is then unsatisfiable
% 27.93/7.16 |-Branch two:
% 27.93/7.16 | (986) all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)
% 27.93/7.16 |
% 27.93/7.16 | Applying alpha-rule on (986) yields:
% 27.93/7.16 | (987) all_0_224_224 = e13
% 27.93/7.17 | (988) ~ (all_0_223_223 = e11)
% 27.93/7.17 | (989) ~ (all_0_225_225 = e13)
% 27.93/7.17 |
% 27.93/7.17 | Combining equations (1057,987) yields a new equation:
% 27.93/7.17 | (833) e13 = e12
% 27.93/7.17 |
% 27.93/7.17 | Equations (833) can reduce 305 to:
% 27.93/7.17 | (537) $false
% 27.93/7.17 |
% 27.93/7.17 |-The branch is then unsatisfiable
% 27.93/7.17 |-Branch two:
% 27.93/7.17 | (992) all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)
% 27.93/7.17 |
% 27.93/7.17 | Applying alpha-rule on (992) yields:
% 27.93/7.17 | (993) all_0_227_227 = e12
% 27.93/7.17 | (994) ~ (all_0_226_226 = e11)
% 27.93/7.17 | (995) ~ (all_0_228_228 = e12)
% 27.93/7.17 |
% 27.93/7.17 | Combining equations (1329,993) yields a new equation:
% 27.93/7.17 | (832) e13 = e12
% 27.93/7.17 |
% 27.93/7.17 | Simplifying 832 yields:
% 27.93/7.17 | (833) e13 = e12
% 27.93/7.17 |
% 27.93/7.17 | Equations (833) can reduce 305 to:
% 27.93/7.17 | (537) $false
% 27.93/7.17 |
% 27.93/7.17 |-The branch is then unsatisfiable
% 27.93/7.17 |-Branch two:
% 27.93/7.17 | (997) all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10)
% 27.93/7.17 |
% 27.93/7.17 | Applying alpha-rule on (997) yields:
% 27.93/7.17 | (998) all_0_232_232 = e10
% 27.93/7.17 | (999) ~ (all_0_231_231 = e11)
% 27.93/7.17 | (1000) ~ (all_0_233_233 = e10)
% 27.93/7.17 |
% 27.93/7.17 | Combining equations (2042,998) yields a new equation:
% 27.93/7.17 | (867) e11 = e10
% 27.93/7.17 |
% 27.93/7.17 | Simplifying 867 yields:
% 27.93/7.17 | (868) e11 = e10
% 27.93/7.17 |
% 27.93/7.17 | Equations (868) can reduce 293 to:
% 27.93/7.17 | (537) $false
% 27.93/7.17 |
% 27.93/7.17 |-The branch is then unsatisfiable
% 27.93/7.17 |-Branch two:
% 27.93/7.17 | (1004) all_0_249_249 = e11 & ~ (all_0_248_248 = e10)
% 27.93/7.17 |
% 27.93/7.17 | Applying alpha-rule on (1004) yields:
% 27.93/7.17 | (1005) all_0_249_249 = e11
% 27.93/7.17 | (905) ~ (all_0_248_248 = e10)
% 27.93/7.17 |
% 27.93/7.17 | Combining equations (861,1005) yields a new equation:
% 27.93/7.17 | (868) e11 = e10
% 27.93/7.17 |
% 27.93/7.17 | Equations (868) can reduce 293 to:
% 27.93/7.17 | (537) $false
% 27.93/7.17 |
% 27.93/7.17 |-The branch is then unsatisfiable
% 27.93/7.17 |-Branch two:
% 27.93/7.17 | (1010) ~ (all_0_251_251 = e12)
% 27.93/7.17 | (1056) all_0_252_252 = e12
% 27.93/7.17 |
% 27.93/7.17 | Combining equations (918,1056) yields a new equation:
% 27.93/7.17 | (952) e12 = e10
% 27.93/7.17 |
% 27.93/7.17 | Equations (952) can reduce 8 to:
% 27.93/7.17 | (537) $false
% 27.93/7.17 |
% 27.93/7.17 |-The branch is then unsatisfiable
% 27.93/7.17 |-Branch two:
% 27.93/7.17 | (1498) ~ (all_0_255_255 = e10)
% 27.93/7.17 | (1499) all_0_256_256 = e10 | all_0_257_257 = e10
% 27.93/7.17 |
% 27.93/7.17 +-Applying beta-rule and splitting (1190), into two cases.
% 27.93/7.17 |-Branch one:
% 27.93/7.17 | (1403) all_0_255_255 = e12
% 27.93/7.17 |
% 27.93/7.17 | Equations (1403) can reduce 800 to:
% 27.93/7.17 | (537) $false
% 27.93/7.17 |
% 27.93/7.17 |-The branch is then unsatisfiable
% 27.93/7.17 |-Branch two:
% 27.93/7.17 | (800) ~ (all_0_255_255 = e12)
% 27.93/7.17 | (1178) all_0_255_255 = e10
% 27.93/7.17 |
% 27.93/7.17 | Equations (1178) can reduce 1498 to:
% 27.93/7.17 | (537) $false
% 27.93/7.17 |
% 27.93/7.17 |-The branch is then unsatisfiable
% 28.02/7.17 |-Branch two:
% 28.02/7.17 | (1020) ~ (all_0_252_252 = e10)
% 28.02/7.17 | (866) all_0_253_253 = e10
% 28.02/7.17 |
% 28.02/7.17 | Combining equations (866,693) yields a new equation:
% 28.02/7.17 | (868) e11 = e10
% 28.02/7.17 |
% 28.02/7.17 | Equations (868) can reduce 293 to:
% 28.02/7.17 | (537) $false
% 28.02/7.17 |
% 28.02/7.17 |-The branch is then unsatisfiable
% 28.02/7.17 |-Branch two:
% 28.02/7.17 | (1405) ~ (all_0_247_247 = e13)
% 28.02/7.17 | (1454) all_0_247_247 = e12 | all_0_247_247 = e10
% 28.02/7.17 |
% 28.02/7.17 +-Applying beta-rule and splitting (189), into two cases.
% 28.02/7.17 |-Branch one:
% 28.02/7.17 | (1191) all_0_247_247 = e13
% 28.02/7.17 |
% 28.02/7.17 | Equations (1191) can reduce 1405 to:
% 28.02/7.17 | (537) $false
% 28.02/7.17 |
% 28.02/7.17 |-The branch is then unsatisfiable
% 28.02/7.17 |-Branch two:
% 28.02/7.17 | (1405) ~ (all_0_247_247 = e13)
% 28.02/7.17 | (1406) all_0_251_251 = e13 | all_0_255_255 = e13
% 28.02/7.17 |
% 28.02/7.17 +-Applying beta-rule and splitting (1406), into two cases.
% 28.02/7.17 |-Branch one:
% 28.02/7.17 | (929) all_0_251_251 = e13
% 28.02/7.17 |
% 28.02/7.17 | Equations (929) can reduce 778 to:
% 28.02/7.17 | (537) $false
% 28.02/7.17 |
% 28.02/7.17 |-The branch is then unsatisfiable
% 28.02/7.17 |-Branch two:
% 28.02/7.17 | (778) ~ (all_0_251_251 = e13)
% 28.02/7.17 | (839) all_0_255_255 = e13
% 28.02/7.17 |
% 28.02/7.17 | Equations (839) can reduce 1189 to:
% 28.02/7.17 | (537) $false
% 28.02/7.17 |
% 28.02/7.17 |-The branch is then unsatisfiable
% 28.02/7.17 |-Branch two:
% 28.02/7.17 | (1417) ~ (all_0_250_250 = e13)
% 28.02/7.17 | (1152) all_0_250_250 = e12
% 28.02/7.17 |
% 28.02/7.17 | Equations (1152) can reduce 1156 to:
% 28.02/7.17 | (537) $false
% 28.02/7.17 |
% 28.02/7.17 |-The branch is then unsatisfiable
% 28.02/7.17 |-Branch two:
% 28.02/7.17 | (774) ~ (all_0_246_246 = e12)
% 28.02/7.17 | (1966) all_0_250_250 = e12 | all_0_254_254 = e12
% 28.02/7.17 |
% 28.02/7.17 +-Applying beta-rule and splitting (396), into two cases.
% 28.02/7.17 |-Branch one:
% 28.02/7.17 | (720) all_0_246_246 = e11
% 28.02/7.17 |
% 28.02/7.17 | Equations (720) can reduce 1692 to:
% 28.02/7.17 | (537) $false
% 28.02/7.17 |
% 28.02/7.17 |-The branch is then unsatisfiable
% 28.02/7.17 |-Branch two:
% 28.02/7.17 | (1692) ~ (all_0_246_246 = e11)
% 28.02/7.17 | (1801) all_0_246_246 = e13 | all_0_246_246 = e12
% 28.02/7.17 |
% 28.02/7.17 +-Applying beta-rule and splitting (1966), into two cases.
% 28.02/7.17 |-Branch one:
% 28.02/7.17 | (1152) all_0_250_250 = e12
% 28.02/7.17 |
% 28.02/7.17 | Equations (1152) can reduce 47 to:
% 28.02/7.17 | (774) ~ (all_0_246_246 = e12)
% 28.02/7.17 |
% 28.02/7.17 | Equations (1152) can reduce 147 to:
% 28.02/7.17 | (1240) ~ (all_0_252_252 = e12)
% 28.02/7.17 |
% 28.02/7.17 | Simplifying 1240 yields:
% 28.02/7.17 | (1147) ~ (all_0_252_252 = e12)
% 28.02/7.17 |
% 28.02/7.17 | Equations (1152) can reduce 695 to:
% 28.02/7.17 | (113) ~ (e12 = e11)
% 28.02/7.17 |
% 28.02/7.17 | From (1152) and (103) follows:
% 28.02/7.17 | (1429) op1(e12, e12) = all_0_213_213
% 28.02/7.17 |
% 28.02/7.17 | From (1152) and (173) follows:
% 28.02/7.17 | (1430) op1(e12, e12) = all_0_214_214
% 28.02/7.17 |
% 28.02/7.17 +-Applying beta-rule and splitting (214), into two cases.
% 28.02/7.17 |-Branch one:
% 28.02/7.17 | (776) all_0_250_250 = e13
% 28.02/7.17 |
% 28.02/7.17 | Combining equations (776,1152) yields a new equation:
% 28.02/7.17 | (832) e13 = e12
% 28.02/7.17 |
% 28.02/7.17 | Simplifying 832 yields:
% 28.02/7.17 | (833) e13 = e12
% 28.02/7.17 |
% 28.02/7.17 | Equations (833) can reduce 305 to:
% 28.02/7.17 | (537) $false
% 28.02/7.17 |
% 28.02/7.17 |-The branch is then unsatisfiable
% 28.02/7.17 |-Branch two:
% 28.02/7.17 | (1417) ~ (all_0_250_250 = e13)
% 28.02/7.17 | (1418) all_0_251_251 = e13 | all_0_253_253 = e13
% 28.02/7.17 |
% 28.02/7.17 +-Applying beta-rule and splitting (141), into two cases.
% 28.02/7.17 |-Branch one:
% 28.02/7.17 | (738) all_0_252_252 = e11
% 28.02/7.17 |
% 28.02/7.17 | Equations (738) can reduce 697 to:
% 28.02/7.17 | (537) $false
% 28.02/7.17 |
% 28.02/7.17 |-The branch is then unsatisfiable
% 28.02/7.17 |-Branch two:
% 28.02/7.17 | (697) ~ (all_0_252_252 = e11)
% 28.02/7.17 | (769) all_0_252_252 = e12 | all_0_252_252 = e10
% 28.02/7.17 |
% 28.02/7.17 +-Applying beta-rule and splitting (1801), into two cases.
% 28.02/7.17 |-Branch one:
% 28.02/7.17 | (1465) all_0_246_246 = e13
% 28.02/7.17 |
% 28.02/7.17 | Equations (1465) can reduce 774 to:
% 28.02/7.17 | (305) ~ (e13 = e12)
% 28.02/7.17 |
% 28.02/7.17 | Equations (1465) can reduce 1692 to:
% 28.02/7.17 | (446) ~ (e13 = e11)
% 28.02/7.17 |
% 28.02/7.17 +-Applying beta-rule and splitting (29), into two cases.
% 28.02/7.17 |-Branch one:
% 28.02/7.17 | (770) all_0_246_246 = e12
% 28.02/7.17 |
% 28.02/7.17 | Combining equations (1465,770) yields a new equation:
% 28.02/7.17 | (832) e13 = e12
% 28.02/7.17 |
% 28.02/7.17 | Simplifying 832 yields:
% 28.02/7.17 | (833) e13 = e12
% 28.02/7.17 |
% 28.02/7.17 | Equations (833) can reduce 305 to:
% 28.02/7.17 | (537) $false
% 28.02/7.17 |
% 28.02/7.17 |-The branch is then unsatisfiable
% 28.02/7.17 |-Branch two:
% 28.02/7.17 | (774) ~ (all_0_246_246 = e12)
% 28.02/7.17 | (775) all_0_247_247 = e12 | all_0_248_248 = e12
% 28.02/7.17 |
% 28.02/7.17 +-Applying beta-rule and splitting (1418), into two cases.
% 28.02/7.17 |-Branch one:
% 28.02/7.17 | (929) all_0_251_251 = e13
% 28.02/7.17 |
% 28.02/7.17 | Equations (929) can reduce 481 to:
% 28.02/7.17 | (1196) ~ (all_0_255_255 = e13)
% 28.02/7.17 |
% 28.02/7.17 | Simplifying 1196 yields:
% 28.02/7.17 | (1189) ~ (all_0_255_255 = e13)
% 28.02/7.17 |
% 28.02/7.17 | From (929) and (89) follows:
% 28.02/7.17 | (1449) op1(e12, e12) = e13
% 28.02/7.17 |
% 28.02/7.17 +-Applying beta-rule and splitting (769), into two cases.
% 28.02/7.17 |-Branch one:
% 28.02/7.17 | (1056) all_0_252_252 = e12
% 28.02/7.17 |
% 28.02/7.17 | Equations (1056) can reduce 1147 to:
% 28.02/7.17 | (537) $false
% 28.02/7.17 |
% 28.02/7.17 |-The branch is then unsatisfiable
% 28.02/7.17 |-Branch two:
% 28.02/7.17 | (1147) ~ (all_0_252_252 = e12)
% 28.02/7.17 | (918) all_0_252_252 = e10
% 28.02/7.17 |
% 28.02/7.17 | Combining equations (918,707) yields a new equation:
% 28.02/7.17 | (1290) all_0_222_222 = e10
% 28.02/7.17 |
% 28.02/7.17 | From (918) and (319) follows:
% 28.02/7.17 | (1297) op1(e10, e11) = all_0_217_217
% 28.02/7.17 |
% 28.02/7.17 | From (918) and (435) follows:
% 28.02/7.17 | (926) op1(e12, e10) = all_0_219_219
% 28.02/7.17 |
% 28.02/7.17 +-Applying beta-rule and splitting (775), into two cases.
% 28.02/7.17 |-Branch one:
% 28.02/7.17 | (1051) all_0_247_247 = e12
% 28.02/7.17 |
% 28.02/7.17 | Equations (1051) can reduce 240 to:
% 28.02/7.17 | (799) ~ (all_0_255_255 = e12)
% 28.02/7.17 |
% 28.02/7.17 | Simplifying 799 yields:
% 28.02/7.17 | (800) ~ (all_0_255_255 = e12)
% 28.02/7.17 |
% 28.02/7.17 | From (1051) and (230) follows:
% 28.02/7.17 | (1054) op1(e12, e12) = all_0_203_203
% 28.02/7.17 |
% 28.02/7.17 | From (1051) and (213) follows:
% 28.02/7.17 | (2403) op1(e13, e12) = all_0_205_205
% 28.02/7.17 |
% 28.02/7.17 | From (1051) and (62) follows:
% 28.02/7.17 | (2404) op1(e13, e12) = e12
% 28.02/7.17 |
% 28.02/7.17 +-Applying beta-rule and splitting (237), into two cases.
% 28.02/7.17 |-Branch one:
% 28.02/7.17 | (839) all_0_255_255 = e13
% 28.02/7.17 |
% 28.02/7.17 | Equations (839) can reduce 1189 to:
% 28.02/7.17 | (537) $false
% 28.02/7.17 |
% 28.02/7.17 |-The branch is then unsatisfiable
% 28.02/7.17 |-Branch two:
% 28.02/7.17 | (1189) ~ (all_0_255_255 = e13)
% 28.02/7.17 | (1190) all_0_255_255 = e12 | all_0_255_255 = e10
% 28.02/7.17 |
% 28.02/7.17 +-Applying beta-rule and splitting (53), into two cases.
% 28.02/7.17 |-Branch one:
% 28.02/7.17 | (1178) all_0_255_255 = e10
% 28.02/7.17 |
% 28.02/7.17 | Equations (1178) can reduce 800 to:
% 28.02/7.17 | (874) ~ (e12 = e10)
% 28.02/7.17 |
% 28.02/7.18 | Simplifying 874 yields:
% 28.02/7.18 | (8) ~ (e12 = e10)
% 28.02/7.18 |
% 28.02/7.18 | Equations (1178) can reduce 134 to:
% 28.02/7.18 | (906) ~ (e11 = e10)
% 28.02/7.18 |
% 28.02/7.18 | Simplifying 906 yields:
% 28.02/7.18 | (293) ~ (e11 = e10)
% 28.02/7.18 |
% 28.02/7.18 | From (1178) and (299) follows:
% 28.02/7.18 | (1261) op1(e10, e11) = all_0_227_227
% 28.02/7.18 |
% 28.02/7.18 +-Applying beta-rule and splitting (1014), into two cases.
% 28.02/7.18 |-Branch one:
% 28.02/7.18 | (1056) all_0_252_252 = e12
% 28.02/7.18 |
% 28.02/7.18 | Combining equations (918,1056) yields a new equation:
% 28.02/7.18 | (952) e12 = e10
% 28.02/7.18 |
% 28.02/7.18 | Equations (952) can reduce 8 to:
% 28.02/7.18 | (537) $false
% 28.02/7.18 |
% 28.02/7.18 |-The branch is then unsatisfiable
% 28.02/7.18 |-Branch two:
% 28.02/7.18 | (1147) ~ (all_0_252_252 = e12)
% 28.02/7.18 | (1676) all_0_256_256 = e12
% 28.02/7.18 |
% 28.02/7.18 | Combining equations (1676,1731) yields a new equation:
% 28.02/7.18 | (1057) all_0_224_224 = e12
% 28.02/7.18 |
% 28.02/7.18 | Equations (1676) can reduce 36 to:
% 28.02/7.18 | (803) ~ (e13 = e12)
% 28.02/7.18 |
% 28.02/7.18 | Simplifying 803 yields:
% 28.02/7.18 | (305) ~ (e13 = e12)
% 28.02/7.18 |
% 28.02/7.18 | Instantiating formula (144) with e13, e12, e12, all_0_205_205 and discharging atoms op1(e13, e12) = all_0_205_205, op1(e13, e12) = e12, yields:
% 28.02/7.18 | (2082) all_0_205_205 = e12
% 28.02/7.18 |
% 28.02/7.18 | Instantiating formula (144) with e12, e12, all_0_213_213, all_0_203_203 and discharging atoms op1(e12, e12) = all_0_203_203, op1(e12, e12) = all_0_213_213, yields:
% 28.02/7.18 | (2424) all_0_203_203 = all_0_213_213
% 28.02/7.18 |
% 28.02/7.18 | Instantiating formula (144) with e12, e12, all_0_214_214, all_0_203_203 and discharging atoms op1(e12, e12) = all_0_203_203, op1(e12, e12) = all_0_214_214, yields:
% 28.02/7.18 | (2425) all_0_203_203 = all_0_214_214
% 28.02/7.18 |
% 28.02/7.18 | Instantiating formula (144) with e12, e12, e13, all_0_213_213 and discharging atoms op1(e12, e12) = all_0_213_213, op1(e12, e12) = e13, yields:
% 28.02/7.18 | (969) all_0_213_213 = e13
% 28.02/7.18 |
% 28.02/7.18 | Instantiating formula (144) with e12, e10, all_0_219_219, e11 and discharging atoms op1(e12, e10) = all_0_219_219, op1(e12, e10) = e11, yields:
% 28.02/7.18 | (939) all_0_219_219 = e11
% 28.02/7.18 |
% 28.02/7.18 | Instantiating formula (144) with e10, e11, all_0_217_217, e13 and discharging atoms op1(e10, e11) = all_0_217_217, op1(e10, e11) = e13, yields:
% 28.02/7.18 | (1313) all_0_217_217 = e13
% 28.02/7.18 |
% 28.02/7.18 | Instantiating formula (144) with e10, e11, all_0_227_227, all_0_217_217 and discharging atoms op1(e10, e11) = all_0_217_217, op1(e10, e11) = all_0_227_227, yields:
% 28.02/7.18 | (1314) all_0_217_217 = all_0_227_227
% 28.02/7.18 |
% 28.02/7.18 | Combining equations (2424,2425) yields a new equation:
% 28.02/7.18 | (2430) all_0_213_213 = all_0_214_214
% 28.02/7.18 |
% 28.02/7.18 | Simplifying 2430 yields:
% 28.02/7.18 | (1542) all_0_213_213 = all_0_214_214
% 28.02/7.18 |
% 28.02/7.18 | Combining equations (969,1542) yields a new equation:
% 28.02/7.18 | (816) all_0_214_214 = e13
% 28.02/7.18 |
% 28.02/7.18 | Combining equations (1314,1313) yields a new equation:
% 28.02/7.18 | (1328) all_0_227_227 = e13
% 28.02/7.18 |
% 28.02/7.18 | Simplifying 1328 yields:
% 28.02/7.18 | (1329) all_0_227_227 = e13
% 28.02/7.18 |
% 28.02/7.18 +-Applying beta-rule and splitting (257), into two cases.
% 28.02/7.18 |-Branch one:
% 28.02/7.18 | (940) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)) | (all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10))
% 28.02/7.18 |
% 28.02/7.18 +-Applying beta-rule and splitting (940), into two cases.
% 28.02/7.18 |-Branch one:
% 28.02/7.18 | (941) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12))
% 28.02/7.18 |
% 28.02/7.18 +-Applying beta-rule and splitting (941), into two cases.
% 28.02/7.18 |-Branch one:
% 28.02/7.18 | (942) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13))
% 28.02/7.18 |
% 28.02/7.18 +-Applying beta-rule and splitting (942), into two cases.
% 28.02/7.18 |-Branch one:
% 28.02/7.18 | (943) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10))
% 28.02/7.18 |
% 28.02/7.18 +-Applying beta-rule and splitting (943), into two cases.
% 28.02/7.18 |-Branch one:
% 28.02/7.18 | (944) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11))
% 28.02/7.18 |
% 28.02/7.18 +-Applying beta-rule and splitting (944), into two cases.
% 28.02/7.18 |-Branch one:
% 28.02/7.18 | (945) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13))
% 28.02/7.18 |
% 28.02/7.18 +-Applying beta-rule and splitting (945), into two cases.
% 28.02/7.18 |-Branch one:
% 28.02/7.18 | (946) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10))
% 28.02/7.18 |
% 28.02/7.18 +-Applying beta-rule and splitting (946), into two cases.
% 28.02/7.18 |-Branch one:
% 28.02/7.18 | (947) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11))
% 28.02/7.18 |
% 28.02/7.18 +-Applying beta-rule and splitting (947), into two cases.
% 28.02/7.18 |-Branch one:
% 28.02/7.18 | (948) all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)
% 28.02/7.18 |
% 28.02/7.18 | Applying alpha-rule on (948) yields:
% 28.02/7.18 | (949) all_0_204_204 = e12
% 28.02/7.18 | (950) ~ (all_0_203_203 = e13)
% 28.02/7.18 | (951) ~ (all_0_205_205 = e12)
% 28.02/7.18 |
% 28.02/7.18 | Equations (2082) can reduce 951 to:
% 28.02/7.18 | (537) $false
% 28.02/7.18 |
% 28.02/7.18 |-The branch is then unsatisfiable
% 28.02/7.18 |-Branch two:
% 28.02/7.18 | (954) all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)
% 28.02/7.18 |
% 28.02/7.18 | Applying alpha-rule on (954) yields:
% 28.02/7.18 | (955) all_0_207_207 = e11
% 28.02/7.18 | (956) ~ (all_0_206_206 = e13)
% 28.02/7.18 | (957) ~ (all_0_208_208 = e11)
% 28.02/7.18 |
% 28.02/7.18 | Equations (1741) can reduce 957 to:
% 28.02/7.18 | (537) $false
% 28.02/7.18 |
% 28.02/7.18 |-The branch is then unsatisfiable
% 28.02/7.18 |-Branch two:
% 28.02/7.18 | (961) all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)
% 28.02/7.18 |
% 28.02/7.18 | Applying alpha-rule on (961) yields:
% 28.02/7.18 | (962) all_0_210_210 = e10
% 28.02/7.18 | (963) ~ (all_0_209_209 = e13)
% 28.02/7.18 | (964) ~ (all_0_211_211 = e10)
% 28.02/7.18 |
% 28.02/7.18 | Equations (1321) can reduce 964 to:
% 28.02/7.18 | (537) $false
% 28.02/7.18 |
% 28.02/7.18 |-The branch is then unsatisfiable
% 28.02/7.18 |-Branch two:
% 28.02/7.18 | (968) all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)
% 28.02/7.18 |
% 28.02/7.18 | Applying alpha-rule on (968) yields:
% 28.02/7.18 | (969) all_0_213_213 = e13
% 28.02/7.18 | (970) ~ (all_0_212_212 = e12)
% 28.02/7.18 | (971) ~ (all_0_214_214 = e13)
% 28.02/7.18 |
% 28.02/7.18 | Equations (816) can reduce 971 to:
% 28.02/7.18 | (537) $false
% 28.02/7.18 |
% 28.02/7.18 |-The branch is then unsatisfiable
% 28.02/7.18 |-Branch two:
% 28.02/7.18 | (974) all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)
% 28.02/7.18 |
% 28.02/7.18 | Applying alpha-rule on (974) yields:
% 28.02/7.18 | (975) all_0_218_218 = e11
% 28.02/7.18 | (976) ~ (all_0_217_217 = e12)
% 28.02/7.18 | (977) ~ (all_0_219_219 = e11)
% 28.02/7.18 |
% 28.02/7.18 | Equations (939) can reduce 977 to:
% 28.02/7.18 | (537) $false
% 28.02/7.18 |
% 28.02/7.18 |-The branch is then unsatisfiable
% 28.02/7.18 |-Branch two:
% 28.02/7.18 | (979) all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)
% 28.02/7.18 |
% 28.02/7.18 | Applying alpha-rule on (979) yields:
% 28.02/7.18 | (980) all_0_221_221 = e10
% 28.02/7.18 | (981) ~ (all_0_220_220 = e12)
% 28.02/7.18 | (982) ~ (all_0_222_222 = e10)
% 28.02/7.18 |
% 28.02/7.18 | Equations (1290) can reduce 982 to:
% 28.02/7.18 | (537) $false
% 28.02/7.18 |
% 28.02/7.18 |-The branch is then unsatisfiable
% 28.02/7.18 |-Branch two:
% 28.02/7.18 | (986) all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)
% 28.02/7.18 |
% 28.02/7.18 | Applying alpha-rule on (986) yields:
% 28.02/7.18 | (987) all_0_224_224 = e13
% 28.02/7.18 | (988) ~ (all_0_223_223 = e11)
% 28.02/7.18 | (989) ~ (all_0_225_225 = e13)
% 28.02/7.18 |
% 28.02/7.18 | Combining equations (1057,987) yields a new equation:
% 28.02/7.18 | (833) e13 = e12
% 28.02/7.18 |
% 28.02/7.18 | Equations (833) can reduce 305 to:
% 28.02/7.18 | (537) $false
% 28.02/7.18 |
% 28.02/7.18 |-The branch is then unsatisfiable
% 28.02/7.18 |-Branch two:
% 28.02/7.18 | (992) all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)
% 28.02/7.19 |
% 28.02/7.19 | Applying alpha-rule on (992) yields:
% 28.02/7.19 | (993) all_0_227_227 = e12
% 28.02/7.19 | (994) ~ (all_0_226_226 = e11)
% 28.02/7.19 | (995) ~ (all_0_228_228 = e12)
% 28.02/7.19 |
% 28.02/7.19 | Combining equations (1329,993) yields a new equation:
% 28.02/7.19 | (832) e13 = e12
% 28.02/7.19 |
% 28.02/7.19 | Simplifying 832 yields:
% 28.02/7.19 | (833) e13 = e12
% 28.02/7.19 |
% 28.02/7.19 | Equations (833) can reduce 305 to:
% 28.02/7.19 | (537) $false
% 28.02/7.19 |
% 28.02/7.19 |-The branch is then unsatisfiable
% 28.02/7.19 |-Branch two:
% 28.02/7.19 | (997) all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10)
% 28.02/7.19 |
% 28.02/7.19 | Applying alpha-rule on (997) yields:
% 28.02/7.19 | (998) all_0_232_232 = e10
% 28.02/7.19 | (999) ~ (all_0_231_231 = e11)
% 28.02/7.19 | (1000) ~ (all_0_233_233 = e10)
% 28.02/7.19 |
% 28.02/7.19 | Combining equations (2042,998) yields a new equation:
% 28.02/7.19 | (867) e11 = e10
% 28.02/7.19 |
% 28.02/7.19 | Simplifying 867 yields:
% 28.02/7.19 | (868) e11 = e10
% 28.02/7.19 |
% 28.02/7.19 | Equations (868) can reduce 293 to:
% 28.02/7.19 | (537) $false
% 28.02/7.19 |
% 28.02/7.19 |-The branch is then unsatisfiable
% 28.02/7.19 |-Branch two:
% 28.02/7.19 | (1004) all_0_249_249 = e11 & ~ (all_0_248_248 = e10)
% 28.02/7.19 |
% 28.02/7.19 | Applying alpha-rule on (1004) yields:
% 28.02/7.19 | (1005) all_0_249_249 = e11
% 28.02/7.19 | (905) ~ (all_0_248_248 = e10)
% 28.02/7.19 |
% 28.02/7.19 | Combining equations (1005,861) yields a new equation:
% 28.02/7.19 | (867) e11 = e10
% 28.02/7.19 |
% 28.02/7.19 | Simplifying 867 yields:
% 28.02/7.19 | (868) e11 = e10
% 28.02/7.19 |
% 28.02/7.19 | Equations (868) can reduce 293 to:
% 28.02/7.19 | (537) $false
% 28.02/7.19 |
% 28.02/7.19 |-The branch is then unsatisfiable
% 28.02/7.19 |-Branch two:
% 28.02/7.19 | (1498) ~ (all_0_255_255 = e10)
% 28.02/7.19 | (1499) all_0_256_256 = e10 | all_0_257_257 = e10
% 28.02/7.19 |
% 28.02/7.19 +-Applying beta-rule and splitting (1190), into two cases.
% 28.02/7.19 |-Branch one:
% 28.02/7.19 | (1403) all_0_255_255 = e12
% 28.02/7.19 |
% 28.02/7.19 | Equations (1403) can reduce 800 to:
% 28.02/7.19 | (537) $false
% 28.02/7.19 |
% 28.02/7.19 |-The branch is then unsatisfiable
% 28.02/7.19 |-Branch two:
% 28.02/7.19 | (800) ~ (all_0_255_255 = e12)
% 28.02/7.19 | (1178) all_0_255_255 = e10
% 28.02/7.19 |
% 28.02/7.19 | Equations (1178) can reduce 1498 to:
% 28.02/7.19 | (537) $false
% 28.02/7.19 |
% 28.02/7.19 |-The branch is then unsatisfiable
% 28.02/7.19 |-Branch two:
% 28.02/7.19 | (1150) ~ (all_0_247_247 = e12)
% 28.02/7.19 | (927) all_0_248_248 = e12
% 28.02/7.19 |
% 28.02/7.19 | Combining equations (734,927) yields a new equation:
% 28.02/7.19 | (772) e12 = e11
% 28.02/7.19 |
% 28.02/7.19 | Equations (772) can reduce 113 to:
% 28.02/7.19 | (537) $false
% 28.02/7.19 |
% 28.02/7.19 |-The branch is then unsatisfiable
% 28.02/7.19 |-Branch two:
% 28.02/7.19 | (778) ~ (all_0_251_251 = e13)
% 28.02/7.19 | (1183) all_0_253_253 = e13
% 28.02/7.19 |
% 28.02/7.19 | Combining equations (1183,693) yields a new equation:
% 28.02/7.19 | (958) e13 = e11
% 28.02/7.19 |
% 28.02/7.19 | Simplifying 958 yields:
% 28.02/7.19 | (959) e13 = e11
% 28.02/7.19 |
% 28.02/7.19 | Equations (959) can reduce 446 to:
% 28.02/7.19 | (537) $false
% 28.02/7.19 |
% 28.02/7.19 |-The branch is then unsatisfiable
% 28.02/7.19 |-Branch two:
% 28.02/7.19 | (1469) ~ (all_0_246_246 = e13)
% 28.02/7.19 | (770) all_0_246_246 = e12
% 28.02/7.19 |
% 28.02/7.19 | Equations (770) can reduce 774 to:
% 28.02/7.19 | (537) $false
% 28.02/7.19 |
% 28.02/7.19 |-The branch is then unsatisfiable
% 28.02/7.19 |-Branch two:
% 28.02/7.19 | (1156) ~ (all_0_250_250 = e12)
% 28.02/7.19 | (798) all_0_254_254 = e12
% 28.02/7.19 |
% 28.02/7.19 | Combining equations (791,798) yields a new equation:
% 28.02/7.19 | (772) e12 = e11
% 28.02/7.19 |
% 28.02/7.19 | Equations (772) can reduce 113 to:
% 28.02/7.19 | (537) $false
% 28.02/7.19 |
% 28.02/7.19 |-The branch is then unsatisfiable
% 28.02/7.19 |-Branch two:
% 28.02/7.19 | (724) ~ (all_0_248_248 = e11)
% 28.02/7.19 | (1005) all_0_249_249 = e11
% 28.02/7.19 |
% 28.02/7.19 | Equations (1005) can reduce 694 to:
% 28.02/7.19 | (537) $false
% 28.02/7.19 |
% 28.02/7.19 |-The branch is then unsatisfiable
% 28.02/7.19 |-Branch two:
% 28.02/7.19 | (2525) ~ (all_0_253_253 = e11)
% 28.02/7.19 | (2526) all_0_253_253 = e13 | all_0_253_253 = e10
% 28.02/7.19 |
% 28.02/7.19 +-Applying beta-rule and splitting (360), into two cases.
% 28.02/7.19 |-Branch one:
% 28.02/7.19 | (716) all_0_250_250 = e11
% 28.02/7.19 |
% 28.02/7.19 | Equations (716) can reduce 47 to:
% 28.02/7.19 | (1692) ~ (all_0_246_246 = e11)
% 28.02/7.19 |
% 28.02/7.19 | Equations (716) can reduce 224 to:
% 28.02/7.19 | (2529) ~ (all_0_251_251 = e11)
% 28.02/7.19 |
% 28.02/7.19 | Simplifying 2529 yields:
% 28.02/7.19 | (108) ~ (all_0_251_251 = e11)
% 28.02/7.19 |
% 28.02/7.19 | Equations (716) can reduce 147 to:
% 28.02/7.19 | (1702) ~ (all_0_252_252 = e11)
% 28.02/7.19 |
% 28.02/7.19 | Simplifying 1702 yields:
% 28.02/7.19 | (697) ~ (all_0_252_252 = e11)
% 28.02/7.19 |
% 28.02/7.19 | Equations (716) can reduce 111 to:
% 28.02/7.19 | (2533) ~ (all_0_253_253 = e11)
% 28.02/7.19 |
% 28.02/7.19 | Simplifying 2533 yields:
% 28.02/7.19 | (2525) ~ (all_0_253_253 = e11)
% 28.02/7.19 |
% 28.02/7.19 | Equations (716) can reduce 334 to:
% 28.02/7.19 | (293) ~ (e11 = e10)
% 28.02/7.19 |
% 28.02/7.19 | From (716) and (120) follows:
% 28.02/7.19 | (2536) op1(e11, e13) = all_0_212_212
% 28.02/7.19 |
% 28.02/7.19 | From (716) and (103) follows:
% 28.02/7.19 | (2537) op1(e11, e12) = all_0_213_213
% 28.02/7.19 |
% 28.02/7.19 | From (716) and (470) follows:
% 28.02/7.19 | (2538) op1(e13, e11) = all_0_177_177
% 28.02/7.19 |
% 28.02/7.19 | From (716) and (173) follows:
% 28.02/7.19 | (2539) op1(e12, e11) = all_0_214_214
% 28.02/7.19 |
% 28.02/7.19 | From (716) and (284) follows:
% 28.02/7.19 | (2540) op1(e12, e13) = e11
% 28.02/7.19 |
% 28.02/7.19 | From (716) and (431) follows:
% 28.02/7.19 | (2541) op1(e11, e11) = all_0_178_178
% 28.02/7.19 |
% 28.02/7.19 | From (716) and (158) follows:
% 28.02/7.19 | (2542) op1(e10, e11) = all_0_179_179
% 28.02/7.19 |
% 28.02/7.19 | Instantiating formula (144) with e13, e11, all_0_177_177, all_0_248_248 and discharging atoms op1(e13, e11) = all_0_177_177, op1(e13, e11) = all_0_248_248, yields:
% 28.02/7.19 | (2543) all_0_177_177 = all_0_248_248
% 28.02/7.19 |
% 28.02/7.19 | Instantiating formula (144) with e12, e11, all_0_214_214, all_0_252_252 and discharging atoms op1(e12, e11) = all_0_214_214, op1(e12, e11) = all_0_252_252, yields:
% 28.02/7.19 | (2544) all_0_214_214 = all_0_252_252
% 28.02/7.19 |
% 28.02/7.19 | Instantiating formula (144) with e11, e13, all_0_212_212, all_0_254_254 and discharging atoms op1(e11, e13) = all_0_212_212, op1(e11, e13) = all_0_254_254, yields:
% 28.02/7.19 | (2545) all_0_212_212 = all_0_254_254
% 28.02/7.19 |
% 28.02/7.19 | Instantiating formula (144) with e11, e12, all_0_213_213, all_0_255_255 and discharging atoms op1(e11, e12) = all_0_213_213, op1(e11, e12) = all_0_255_255, yields:
% 28.02/7.19 | (2546) all_0_213_213 = all_0_255_255
% 28.02/7.19 |
% 28.02/7.19 | Instantiating formula (144) with e11, e11, all_0_178_178, all_0_256_256 and discharging atoms op1(e11, e11) = all_0_178_178, op1(e11, e11) = all_0_256_256, yields:
% 28.02/7.19 | (2547) all_0_178_178 = all_0_256_256
% 28.02/7.19 |
% 28.02/7.19 | Instantiating formula (144) with e10, e11, all_0_179_179, e13 and discharging atoms op1(e10, e11) = all_0_179_179, op1(e10, e11) = e13, yields:
% 28.02/7.19 | (2548) all_0_179_179 = e13
% 28.02/7.19 |
% 28.02/7.19 | From (2543) and (2538) follows:
% 28.02/7.19 | (24) op1(e13, e11) = all_0_248_248
% 28.02/7.19 |
% 28.02/7.19 | From (2544) and (2539) follows:
% 28.02/7.19 | (136) op1(e12, e11) = all_0_252_252
% 28.02/7.19 |
% 28.02/7.19 | From (2545) and (2536) follows:
% 28.02/7.19 | (241) op1(e11, e13) = all_0_254_254
% 28.02/7.19 |
% 28.02/7.19 | From (2546) and (2537) follows:
% 28.02/7.19 | (126) op1(e11, e12) = all_0_255_255
% 28.02/7.19 |
% 28.02/7.19 | From (2547) and (2541) follows:
% 28.02/7.19 | (223) op1(e11, e11) = all_0_256_256
% 28.02/7.19 |
% 28.02/7.19 | From (2548) and (2542) follows:
% 28.02/7.19 | (99) op1(e10, e11) = e13
% 28.02/7.19 |
% 28.02/7.19 +-Applying beta-rule and splitting (424), into two cases.
% 28.02/7.19 |-Branch one:
% 28.02/7.19 | (1005) all_0_249_249 = e11
% 28.02/7.19 |
% 28.02/7.19 | Equations (1005) can reduce 428 to:
% 28.02/7.19 | (1692) ~ (all_0_246_246 = e11)
% 28.02/7.19 |
% 28.02/7.19 | Equations (1005) can reduce 457 to:
% 28.02/7.19 | (101) ~ (all_0_247_247 = e11)
% 28.02/7.19 |
% 28.02/7.19 | Equations (1005) can reduce 343 to:
% 28.02/7.19 | (724) ~ (all_0_248_248 = e11)
% 28.02/7.19 |
% 28.02/7.20 | Equations (1005) can reduce 474 to:
% 28.02/7.20 | (2533) ~ (all_0_253_253 = e11)
% 28.02/7.20 |
% 28.02/7.20 | Simplifying 2533 yields:
% 28.02/7.20 | (2525) ~ (all_0_253_253 = e11)
% 28.02/7.20 |
% 28.02/7.20 | Equations (1005) can reduce 78 to:
% 28.02/7.20 | (698) ~ (e12 = e11)
% 28.02/7.20 |
% 28.02/7.20 | Simplifying 698 yields:
% 28.02/7.20 | (113) ~ (e12 = e11)
% 28.02/7.20 |
% 28.02/7.20 | From (1005) and (375) follows:
% 28.02/7.20 | (2563) op1(e11, e13) = all_0_210_210
% 28.02/7.20 |
% 28.02/7.20 | From (1005) and (209) follows:
% 28.02/7.20 | (2564) op1(e13, e11) = all_0_211_211
% 28.02/7.20 |
% 28.02/7.20 | From (1005) and (260) follows:
% 28.02/7.20 | (2565) op1(e13, e10) = e11
% 28.02/7.20 |
% 28.02/7.20 | From (1005) and (348) follows:
% 28.02/7.20 | (2566) op1(e12, e11) = all_0_174_174
% 28.02/7.20 |
% 28.02/7.20 | From (1005) and (316) follows:
% 28.02/7.20 | (2567) op1(e11, e11) = all_0_175_175
% 28.02/7.20 |
% 28.02/7.20 | From (1005) and (282) follows:
% 28.02/7.20 | (2568) op1(e10, e11) = all_0_176_176
% 28.02/7.20 |
% 28.02/7.20 +-Applying beta-rule and splitting (67), into two cases.
% 28.02/7.20 |-Branch one:
% 28.02/7.20 | (734) all_0_248_248 = e11
% 28.02/7.20 |
% 28.02/7.20 | Equations (734) can reduce 724 to:
% 28.02/7.20 | (537) $false
% 28.02/7.20 |
% 28.02/7.20 |-The branch is then unsatisfiable
% 28.02/7.20 |-Branch two:
% 28.02/7.20 | (724) ~ (all_0_248_248 = e11)
% 28.02/7.20 | (737) all_0_252_252 = e11 | all_0_256_256 = e11
% 28.02/7.20 |
% 28.02/7.20 +-Applying beta-rule and splitting (737), into two cases.
% 28.02/7.20 |-Branch one:
% 28.02/7.20 | (738) all_0_252_252 = e11
% 28.02/7.20 |
% 28.02/7.20 | Equations (738) can reduce 697 to:
% 28.02/7.20 | (537) $false
% 28.02/7.20 |
% 28.02/7.20 |-The branch is then unsatisfiable
% 28.02/7.20 |-Branch two:
% 28.02/7.20 | (697) ~ (all_0_252_252 = e11)
% 28.02/7.20 | (741) all_0_256_256 = e11
% 28.02/7.20 |
% 28.02/7.20 | Equations (741) can reduce 478 to:
% 28.02/7.20 | (724) ~ (all_0_248_248 = e11)
% 28.02/7.20 |
% 28.02/7.20 | Equations (741) can reduce 162 to:
% 28.02/7.20 | (697) ~ (all_0_252_252 = e11)
% 28.02/7.20 |
% 28.02/7.20 | Equations (741) can reduce 211 to:
% 28.02/7.20 | (744) ~ (all_0_254_254 = e11)
% 28.02/7.20 |
% 28.02/7.20 | Equations (741) can reduce 227 to:
% 28.02/7.20 | (746) ~ (all_0_257_257 = e11)
% 28.02/7.20 |
% 28.02/7.20 | Simplifying 746 yields:
% 28.02/7.20 | (747) ~ (all_0_257_257 = e11)
% 28.02/7.20 |
% 28.02/7.20 | Equations (741) can reduce 36 to:
% 28.02/7.20 | (748) ~ (e13 = e11)
% 28.02/7.20 |
% 28.02/7.20 | Simplifying 748 yields:
% 28.02/7.20 | (446) ~ (e13 = e11)
% 28.02/7.20 |
% 28.02/7.20 | From (741) and (193) follows:
% 28.02/7.20 | (750) op1(e13, e11) = all_0_195_195
% 28.02/7.20 |
% 28.02/7.20 | From (741) and (138) follows:
% 28.02/7.20 | (751) op1(e12, e11) = all_0_196_196
% 28.02/7.20 |
% 28.02/7.20 | From (741) and (140) follows:
% 28.02/7.20 | (2586) op1(e11, e11) = all_0_230_230
% 28.02/7.20 |
% 28.02/7.20 | From (741) and (223) follows:
% 28.02/7.20 | (2587) op1(e11, e11) = e11
% 28.02/7.20 |
% 28.02/7.20 | From (741) and (422) follows:
% 28.02/7.20 | (752) op1(e10, e11) = all_0_197_197
% 28.02/7.20 |
% 28.02/7.20 | Instantiating formula (144) with e13, e11, all_0_195_195, all_0_248_248 and discharging atoms op1(e13, e11) = all_0_195_195, op1(e13, e11) = all_0_248_248, yields:
% 28.02/7.20 | (753) all_0_195_195 = all_0_248_248
% 28.02/7.20 |
% 28.02/7.20 | Instantiating formula (144) with e13, e11, all_0_211_211, all_0_195_195 and discharging atoms op1(e13, e11) = all_0_195_195, op1(e13, e11) = all_0_211_211, yields:
% 28.02/7.20 | (2590) all_0_195_195 = all_0_211_211
% 28.02/7.20 |
% 28.02/7.20 | Instantiating formula (144) with e12, e11, all_0_174_174, all_0_252_252 and discharging atoms op1(e12, e11) = all_0_174_174, op1(e12, e11) = all_0_252_252, yields:
% 28.02/7.20 | (2591) all_0_174_174 = all_0_252_252
% 28.02/7.20 |
% 28.02/7.20 | Instantiating formula (144) with e12, e11, all_0_196_196, all_0_174_174 and discharging atoms op1(e12, e11) = all_0_174_174, op1(e12, e11) = all_0_196_196, yields:
% 28.02/7.20 | (2592) all_0_174_174 = all_0_196_196
% 28.02/7.20 |
% 28.02/7.20 | Instantiating formula (144) with e11, e13, all_0_210_210, all_0_254_254 and discharging atoms op1(e11, e13) = all_0_210_210, op1(e11, e13) = all_0_254_254, yields:
% 28.02/7.20 | (2593) all_0_210_210 = all_0_254_254
% 28.02/7.20 |
% 28.02/7.20 | Instantiating formula (144) with e11, e11, all_0_230_230, all_0_175_175 and discharging atoms op1(e11, e11) = all_0_175_175, op1(e11, e11) = all_0_230_230, yields:
% 28.02/7.20 | (2594) all_0_175_175 = all_0_230_230
% 28.02/7.20 |
% 28.02/7.20 | Instantiating formula (144) with e11, e11, e11, all_0_175_175 and discharging atoms op1(e11, e11) = all_0_175_175, op1(e11, e11) = e11, yields:
% 28.02/7.20 | (2595) all_0_175_175 = e11
% 28.02/7.20 |
% 28.02/7.20 | Instantiating formula (144) with e10, e11, all_0_176_176, e13 and discharging atoms op1(e10, e11) = all_0_176_176, op1(e10, e11) = e13, yields:
% 28.02/7.20 | (2596) all_0_176_176 = e13
% 28.02/7.20 |
% 28.02/7.20 | Instantiating formula (144) with e10, e11, all_0_197_197, all_0_176_176 and discharging atoms op1(e10, e11) = all_0_176_176, op1(e10, e11) = all_0_197_197, yields:
% 28.02/7.20 | (2597) all_0_176_176 = all_0_197_197
% 28.02/7.20 |
% 28.02/7.20 | Combining equations (2592,2591) yields a new equation:
% 28.02/7.20 | (2598) all_0_196_196 = all_0_252_252
% 28.02/7.20 |
% 28.02/7.20 | Simplifying 2598 yields:
% 28.02/7.20 | (759) all_0_196_196 = all_0_252_252
% 28.02/7.20 |
% 28.02/7.20 | Combining equations (2594,2595) yields a new equation:
% 28.02/7.20 | (2600) all_0_230_230 = e11
% 28.02/7.20 |
% 28.02/7.20 | Simplifying 2600 yields:
% 28.02/7.20 | (2601) all_0_230_230 = e11
% 28.02/7.20 |
% 28.02/7.20 | Combining equations (2597,2596) yields a new equation:
% 28.02/7.20 | (760) all_0_197_197 = e13
% 28.02/7.20 |
% 28.02/7.20 | Simplifying 760 yields:
% 28.02/7.20 | (761) all_0_197_197 = e13
% 28.02/7.20 |
% 28.02/7.20 | Combining equations (753,2590) yields a new equation:
% 28.02/7.20 | (2604) all_0_211_211 = all_0_248_248
% 28.02/7.20 |
% 28.02/7.20 | From (2604) and (2564) follows:
% 28.02/7.20 | (24) op1(e13, e11) = all_0_248_248
% 28.02/7.20 |
% 28.02/7.20 | From (759) and (751) follows:
% 28.02/7.20 | (136) op1(e12, e11) = all_0_252_252
% 28.02/7.20 |
% 28.02/7.20 | From (761) and (752) follows:
% 28.02/7.20 | (99) op1(e10, e11) = e13
% 28.02/7.20 |
% 28.02/7.20 +-Applying beta-rule and splitting (214), into two cases.
% 28.02/7.20 |-Branch one:
% 28.02/7.20 | (776) all_0_250_250 = e13
% 28.02/7.20 |
% 28.02/7.20 | Combining equations (716,776) yields a new equation:
% 28.02/7.20 | (959) e13 = e11
% 28.02/7.20 |
% 28.02/7.20 | Equations (959) can reduce 446 to:
% 28.02/7.20 | (537) $false
% 28.02/7.20 |
% 28.02/7.20 |-The branch is then unsatisfiable
% 28.02/7.20 |-Branch two:
% 28.02/7.20 | (1417) ~ (all_0_250_250 = e13)
% 28.02/7.20 | (1418) all_0_251_251 = e13 | all_0_253_253 = e13
% 28.02/7.20 |
% 28.02/7.20 | Equations (716) can reduce 1417 to:
% 28.02/7.20 | (748) ~ (e13 = e11)
% 28.02/7.20 |
% 28.02/7.20 | Simplifying 748 yields:
% 28.02/7.20 | (446) ~ (e13 = e11)
% 28.02/7.20 |
% 28.02/7.20 +-Applying beta-rule and splitting (45), into two cases.
% 28.02/7.20 |-Branch one:
% 28.02/7.20 | (861) all_0_249_249 = e10
% 28.02/7.20 |
% 28.02/7.20 | Combining equations (861,1005) yields a new equation:
% 28.02/7.20 | (868) e11 = e10
% 28.02/7.20 |
% 28.02/7.20 | Equations (868) can reduce 293 to:
% 28.02/7.20 | (537) $false
% 28.02/7.20 |
% 28.02/7.20 |-The branch is then unsatisfiable
% 28.02/7.20 |-Branch two:
% 28.02/7.20 | (864) ~ (all_0_249_249 = e10)
% 28.02/7.20 | (865) all_0_253_253 = e10 | all_0_257_257 = e10
% 28.02/7.20 |
% 28.02/7.20 | Equations (1005) can reduce 864 to:
% 28.02/7.20 | (293) ~ (e11 = e10)
% 28.02/7.20 |
% 28.02/7.20 +-Applying beta-rule and splitting (141), into two cases.
% 28.02/7.20 |-Branch one:
% 28.02/7.20 | (738) all_0_252_252 = e11
% 28.02/7.20 |
% 28.02/7.20 | Equations (738) can reduce 697 to:
% 28.02/7.20 | (537) $false
% 28.02/7.20 |
% 28.02/7.20 |-The branch is then unsatisfiable
% 28.02/7.20 |-Branch two:
% 28.02/7.20 | (697) ~ (all_0_252_252 = e11)
% 28.02/7.20 | (769) all_0_252_252 = e12 | all_0_252_252 = e10
% 28.02/7.20 |
% 28.02/7.20 +-Applying beta-rule and splitting (185), into two cases.
% 28.02/7.20 |-Branch one:
% 28.02/7.20 | (1505) all_0_257_257 = e11
% 28.02/7.20 |
% 28.02/7.20 | Equations (1505) can reduce 747 to:
% 28.02/7.20 | (537) $false
% 28.02/7.20 |
% 28.02/7.20 |-The branch is then unsatisfiable
% 28.02/7.20 |-Branch two:
% 28.02/7.20 | (747) ~ (all_0_257_257 = e11)
% 28.02/7.20 | (1508) all_0_257_257 = e13 | all_0_257_257 = e10
% 28.02/7.20 |
% 28.02/7.20 +-Applying beta-rule and splitting (404), into two cases.
% 28.02/7.20 |-Branch one:
% 28.02/7.20 | (770) all_0_246_246 = e12
% 28.02/7.20 |
% 28.02/7.20 | Equations (770) can reduce 298 to:
% 28.02/7.20 | (2630) ~ (all_0_248_248 = e12)
% 28.02/7.20 |
% 28.02/7.20 | Simplifying 2630 yields:
% 28.02/7.20 | (1013) ~ (all_0_248_248 = e12)
% 28.02/7.20 |
% 28.02/7.20 | Equations (770) can reduce 236 to:
% 28.02/7.20 | (1425) ~ (all_0_254_254 = e12)
% 28.02/7.20 |
% 28.02/7.20 | Simplifying 1425 yields:
% 28.02/7.20 | (1426) ~ (all_0_254_254 = e12)
% 28.02/7.20 |
% 28.02/7.20 | Equations (770) can reduce 1692 to:
% 28.02/7.20 | (113) ~ (e12 = e11)
% 28.02/7.20 |
% 28.02/7.20 | From (770) and (355) follows:
% 28.02/7.20 | (2635) op1(e13, e12) = all_0_202_202
% 28.02/7.20 |
% 28.02/7.20 | From (770) and (367) follows:
% 28.02/7.20 | (1832) op1(e13, e13) = e12
% 28.02/7.20 |
% 28.02/7.20 | From (770) and (55) follows:
% 28.02/7.20 | (2637) op1(e12, e12) = all_0_165_165
% 28.02/7.20 |
% 28.02/7.20 | From (770) and (73) follows:
% 28.02/7.20 | (2638) op1(e11, e12) = all_0_166_166
% 28.02/7.20 |
% 28.02/7.20 +-Applying beta-rule and splitting (125), into two cases.
% 28.02/7.20 |-Branch one:
% 28.02/7.20 | (1465) all_0_246_246 = e13
% 28.02/7.20 |
% 28.02/7.20 | Combining equations (770,1465) yields a new equation:
% 28.02/7.20 | (833) e13 = e12
% 28.02/7.20 |
% 28.02/7.20 | Equations (833) can reduce 305 to:
% 28.02/7.20 | (537) $false
% 28.02/7.20 |
% 28.02/7.20 |-The branch is then unsatisfiable
% 28.02/7.20 |-Branch two:
% 28.02/7.20 | (1469) ~ (all_0_246_246 = e13)
% 28.02/7.21 | (1787) all_0_250_250 = e13 | all_0_254_254 = e13
% 28.02/7.21 |
% 28.02/7.21 +-Applying beta-rule and splitting (433), into two cases.
% 28.02/7.21 |-Branch one:
% 28.02/7.21 | (927) all_0_248_248 = e12
% 28.02/7.21 |
% 28.02/7.21 | Equations (927) can reduce 1013 to:
% 28.02/7.21 | (537) $false
% 28.02/7.21 |
% 28.02/7.21 |-The branch is then unsatisfiable
% 28.02/7.21 |-Branch two:
% 28.02/7.21 | (1013) ~ (all_0_248_248 = e12)
% 28.02/7.21 | (1014) all_0_252_252 = e12 | all_0_256_256 = e12
% 28.02/7.21 |
% 28.02/7.21 +-Applying beta-rule and splitting (329), into two cases.
% 28.02/7.21 |-Branch one:
% 28.02/7.21 | (798) all_0_254_254 = e12
% 28.02/7.21 |
% 28.02/7.21 | Equations (798) can reduce 1426 to:
% 28.02/7.21 | (537) $false
% 28.02/7.21 |
% 28.02/7.21 |-The branch is then unsatisfiable
% 28.02/7.21 |-Branch two:
% 28.02/7.21 | (1426) ~ (all_0_254_254 = e12)
% 28.02/7.21 | (1443) all_0_255_255 = e12 | all_0_256_256 = e12
% 28.02/7.21 |
% 28.02/7.21 +-Applying beta-rule and splitting (77), into two cases.
% 28.02/7.21 |-Branch one:
% 28.02/7.21 | (791) all_0_254_254 = e11
% 28.02/7.21 |
% 28.02/7.21 | Equations (791) can reduce 744 to:
% 28.02/7.21 | (537) $false
% 28.02/7.21 |
% 28.02/7.21 |-The branch is then unsatisfiable
% 28.02/7.21 |-Branch two:
% 28.02/7.21 | (744) ~ (all_0_254_254 = e11)
% 28.02/7.21 | (794) all_0_254_254 = e13 | all_0_254_254 = e12
% 28.02/7.21 |
% 28.02/7.21 +-Applying beta-rule and splitting (1014), into two cases.
% 28.02/7.21 |-Branch one:
% 28.02/7.21 | (1056) all_0_252_252 = e12
% 28.02/7.21 |
% 28.02/7.21 | Equations (1056) can reduce 153 to:
% 28.02/7.21 | (1013) ~ (all_0_248_248 = e12)
% 28.02/7.21 |
% 28.02/7.21 | Equations (1056) can reduce 25 to:
% 28.02/7.21 | (2658) ~ (all_0_253_253 = e12)
% 28.02/7.21 |
% 28.02/7.21 | Simplifying 2658 yields:
% 28.02/7.21 | (46) ~ (all_0_253_253 = e12)
% 28.02/7.21 |
% 28.02/7.21 | Equations (1056) can reduce 697 to:
% 28.02/7.21 | (113) ~ (e12 = e11)
% 28.02/7.21 |
% 28.02/7.21 | From (1056) and (190) follows:
% 28.02/7.21 | (1061) op1(e12, e12) = all_0_218_218
% 28.02/7.21 |
% 28.02/7.21 | From (1056) and (423) follows:
% 28.02/7.21 | (2662) op1(e13, e12) = all_0_183_183
% 28.02/7.21 |
% 28.02/7.21 | From (1056) and (369) follows:
% 28.02/7.21 | (2663) op1(e11, e12) = all_0_184_184
% 28.02/7.21 |
% 28.02/7.21 +-Applying beta-rule and splitting (395), into two cases.
% 28.02/7.21 |-Branch one:
% 28.02/7.21 | (734) all_0_248_248 = e11
% 28.02/7.21 |
% 28.02/7.21 | Equations (734) can reduce 724 to:
% 28.02/7.21 | (537) $false
% 28.02/7.21 |
% 28.02/7.21 |-The branch is then unsatisfiable
% 28.02/7.21 |-Branch two:
% 28.02/7.21 | (724) ~ (all_0_248_248 = e11)
% 28.02/7.21 | (917) all_0_248_248 = e12 | all_0_248_248 = e10
% 28.02/7.21 |
% 28.02/7.21 +-Applying beta-rule and splitting (409), into two cases.
% 28.02/7.21 |-Branch one:
% 28.02/7.21 | (910) all_0_248_248 = e10
% 28.02/7.21 |
% 28.02/7.21 | Equations (910) can reduce 271 to:
% 28.02/7.21 | (1025) ~ (all_0_247_247 = e10)
% 28.02/7.21 |
% 28.02/7.21 | Equations (910) can reduce 1013 to:
% 28.02/7.21 | (874) ~ (e12 = e10)
% 28.02/7.21 |
% 28.02/7.21 | Simplifying 874 yields:
% 28.02/7.21 | (8) ~ (e12 = e10)
% 28.02/7.21 |
% 28.02/7.21 | From (910) and (410) follows:
% 28.02/7.21 | (1043) op1(e10, e13) = all_0_207_207
% 28.02/7.21 |
% 28.02/7.21 | From (910) and (170) follows:
% 28.02/7.21 | (2673) op1(e10, e11) = all_0_206_206
% 28.02/7.21 |
% 28.02/7.21 | From (910) and (24) follows:
% 28.02/7.21 | (2674) op1(e13, e11) = e10
% 28.02/7.21 |
% 28.02/7.21 +-Applying beta-rule and splitting (1787), into two cases.
% 28.02/7.21 |-Branch one:
% 28.02/7.21 | (776) all_0_250_250 = e13
% 28.02/7.21 |
% 28.02/7.21 | Combining equations (776,716) yields a new equation:
% 28.02/7.21 | (958) e13 = e11
% 28.02/7.21 |
% 28.02/7.21 | Simplifying 958 yields:
% 28.02/7.21 | (959) e13 = e11
% 28.02/7.21 |
% 28.02/7.21 | Equations (959) can reduce 446 to:
% 28.02/7.21 | (537) $false
% 28.02/7.21 |
% 28.02/7.21 |-The branch is then unsatisfiable
% 28.02/7.21 |-Branch two:
% 28.02/7.21 | (1417) ~ (all_0_250_250 = e13)
% 28.02/7.21 | (795) all_0_254_254 = e13
% 28.02/7.21 |
% 28.02/7.21 | Combining equations (795,2593) yields a new equation:
% 28.02/7.21 | (2681) all_0_210_210 = e13
% 28.02/7.21 |
% 28.02/7.21 | Equations (795) can reduce 242 to:
% 28.02/7.21 | (842) ~ (all_0_257_257 = e13)
% 28.02/7.21 |
% 28.02/7.21 | Simplifying 842 yields:
% 28.02/7.21 | (843) ~ (all_0_257_257 = e13)
% 28.02/7.21 |
% 28.02/7.21 | Equations (795) can reduce 744 to:
% 28.02/7.21 | (446) ~ (e13 = e11)
% 28.02/7.21 |
% 28.02/7.21 | From (795) and (450) follows:
% 28.02/7.21 | (2685) op1(e13, e13) = all_0_223_223
% 28.02/7.21 |
% 28.02/7.21 | From (795) and (301) follows:
% 28.02/7.21 | (1514) op1(e13, e11) = all_0_224_224
% 28.02/7.21 |
% 28.02/7.21 | From (795) and (420) follows:
% 28.02/7.21 | (1515) op1(e13, e13) = all_0_189_189
% 28.02/7.21 |
% 28.02/7.21 | From (795) and (243) follows:
% 28.02/7.21 | (1517) op1(e10, e13) = all_0_191_191
% 28.02/7.21 |
% 28.02/7.21 +-Applying beta-rule and splitting (1443), into two cases.
% 28.02/7.21 |-Branch one:
% 28.02/7.21 | (1403) all_0_255_255 = e12
% 28.02/7.21 |
% 28.02/7.21 | Combining equations (1403,2546) yields a new equation:
% 28.02/7.21 | (1052) all_0_213_213 = e12
% 28.02/7.21 |
% 28.02/7.21 | Equations (1403) can reduce 240 to:
% 28.02/7.21 | (1150) ~ (all_0_247_247 = e12)
% 28.02/7.21 |
% 28.02/7.21 | Equations (1403) can reduce 386 to:
% 28.02/7.21 | (801) ~ (all_0_257_257 = e12)
% 28.02/7.21 |
% 28.02/7.21 | Simplifying 801 yields:
% 28.02/7.21 | (384) ~ (all_0_257_257 = e12)
% 28.02/7.21 |
% 28.02/7.21 | From (1403) and (87) follows:
% 28.02/7.21 | (2694) op1(e13, e12) = all_0_192_192
% 28.02/7.21 |
% 28.02/7.21 | From (1403) and (339) follows:
% 28.02/7.21 | (1480) op1(e12, e12) = all_0_193_193
% 28.02/7.21 |
% 28.02/7.21 | From (1403) and (166) follows:
% 28.02/7.21 | (2114) op1(e11, e12) = all_0_228_228
% 28.02/7.21 |
% 28.02/7.21 | From (1403) and (126) follows:
% 28.02/7.21 | (2115) op1(e11, e12) = e12
% 28.02/7.21 |
% 28.02/7.21 +-Applying beta-rule and splitting (124), into two cases.
% 28.02/7.21 |-Branch one:
% 28.02/7.21 | (850) all_0_249_249 = e13
% 28.02/7.21 |
% 28.02/7.21 | Combining equations (1005,850) yields a new equation:
% 28.02/7.21 | (959) e13 = e11
% 28.02/7.21 |
% 28.02/7.21 | Equations (959) can reduce 446 to:
% 28.02/7.21 | (537) $false
% 28.02/7.21 |
% 28.02/7.21 |-The branch is then unsatisfiable
% 28.02/7.21 |-Branch two:
% 28.02/7.21 | (1181) ~ (all_0_249_249 = e13)
% 28.02/7.21 | (1182) all_0_253_253 = e13 | all_0_257_257 = e13
% 28.02/7.21 |
% 28.02/7.21 +-Applying beta-rule and splitting (286), into two cases.
% 28.02/7.21 |-Branch one:
% 28.02/7.21 | (1191) all_0_247_247 = e13
% 28.02/7.21 |
% 28.02/7.21 | Equations (1191) can reduce 1025 to:
% 28.02/7.21 | (210) ~ (e13 = e10)
% 28.02/7.21 |
% 28.02/7.21 | From (1191) and (289) follows:
% 28.02/7.21 | (1198) op1(e13, e13) = all_0_204_204
% 28.02/7.21 |
% 28.02/7.21 | From (1191) and (230) follows:
% 28.02/7.21 | (2706) op1(e13, e12) = all_0_203_203
% 28.02/7.21 |
% 28.02/7.21 | From (1191) and (213) follows:
% 28.02/7.21 | (2081) op1(e13, e13) = all_0_205_205
% 28.02/7.21 |
% 28.02/7.21 | From (1191) and (62) follows:
% 28.02/7.21 | (2708) op1(e13, e12) = e13
% 28.02/7.21 |
% 28.02/7.21 | From (1191) and (315) follows:
% 28.02/7.21 | (2709) op1(e10, e13) = all_0_170_170
% 28.02/7.21 |
% 28.02/7.21 +-Applying beta-rule and splitting (454), into two cases.
% 28.02/7.21 |-Branch one:
% 28.02/7.21 | (902) all_0_247_247 = e10
% 28.02/7.21 |
% 28.02/7.21 | Combining equations (1191,902) yields a new equation:
% 28.02/7.21 | (983) e13 = e10
% 28.02/7.21 |
% 28.02/7.21 | Simplifying 983 yields:
% 28.02/7.21 | (862) e13 = e10
% 28.02/7.21 |
% 28.02/7.21 | Equations (862) can reduce 210 to:
% 28.02/7.21 | (537) $false
% 28.02/7.21 |
% 28.02/7.21 |-The branch is then unsatisfiable
% 28.02/7.21 |-Branch two:
% 28.02/7.21 | (1025) ~ (all_0_247_247 = e10)
% 28.02/7.21 | (1026) all_0_251_251 = e10 | all_0_255_255 = e10
% 28.02/7.21 |
% 28.02/7.21 +-Applying beta-rule and splitting (53), into two cases.
% 28.02/7.21 |-Branch one:
% 28.02/7.21 | (1178) all_0_255_255 = e10
% 28.02/7.21 |
% 28.02/7.21 | Combining equations (1403,1178) yields a new equation:
% 28.02/7.21 | (1159) e12 = e10
% 28.02/7.21 |
% 28.02/7.21 | Simplifying 1159 yields:
% 28.02/7.21 | (952) e12 = e10
% 28.02/7.21 |
% 28.02/7.21 | Equations (952) can reduce 8 to:
% 28.02/7.21 | (537) $false
% 28.02/7.21 |
% 28.02/7.21 |-The branch is then unsatisfiable
% 28.02/7.21 |-Branch two:
% 28.02/7.21 | (1498) ~ (all_0_255_255 = e10)
% 28.02/7.21 | (1499) all_0_256_256 = e10 | all_0_257_257 = e10
% 28.02/7.21 |
% 28.02/7.21 | Equations (1403) can reduce 1498 to:
% 28.02/7.21 | (8) ~ (e12 = e10)
% 28.02/7.21 |
% 28.02/7.21 +-Applying beta-rule and splitting (1182), into two cases.
% 28.02/7.21 |-Branch one:
% 28.02/7.21 | (1183) all_0_253_253 = e13
% 28.02/7.21 |
% 28.02/7.21 | Equations (1183) can reduce 51 to:
% 28.02/7.21 | (842) ~ (all_0_257_257 = e13)
% 28.02/7.21 |
% 28.02/7.21 | Simplifying 842 yields:
% 28.02/7.21 | (843) ~ (all_0_257_257 = e13)
% 28.02/7.21 |
% 28.02/7.21 | Equations (1183) can reduce 46 to:
% 28.02/7.21 | (305) ~ (e13 = e12)
% 28.02/7.21 |
% 28.02/7.21 | From (1183) and (366) follows:
% 28.02/7.21 | (2727) op1(e13, e12) = all_0_221_221
% 28.02/7.21 |
% 28.02/7.21 | From (1183) and (317) follows:
% 28.02/7.21 | (2728) op1(e13, e13) = all_0_186_186
% 28.02/7.21 |
% 28.02/7.21 | From (1183) and (244) follows:
% 28.02/7.21 | (2729) op1(e10, e13) = all_0_188_188
% 28.02/7.21 |
% 28.02/7.21 +-Applying beta-rule and splitting (372), into two cases.
% 28.02/7.21 |-Branch one:
% 28.02/7.21 | (1011) all_0_251_251 = e10
% 28.02/7.21 |
% 28.02/7.21 | Equations (1011) can reduce 108 to:
% 28.02/7.21 | (906) ~ (e11 = e10)
% 28.02/7.21 |
% 28.02/7.21 | Simplifying 906 yields:
% 28.02/7.21 | (293) ~ (e11 = e10)
% 28.02/7.21 |
% 28.02/7.21 | From (1011) and (89) follows:
% 28.02/7.21 | (1034) op1(e12, e12) = e10
% 28.02/7.21 |
% 28.02/7.21 +-Applying beta-rule and splitting (1499), into two cases.
% 28.02/7.21 |-Branch one:
% 28.02/7.21 | (1021) all_0_256_256 = e10
% 28.02/7.21 |
% 28.02/7.21 | Combining equations (741,1021) yields a new equation:
% 28.02/7.21 | (867) e11 = e10
% 28.02/7.21 |
% 28.02/7.21 | Simplifying 867 yields:
% 28.02/7.21 | (868) e11 = e10
% 28.02/7.21 |
% 28.02/7.21 | Equations (868) can reduce 293 to:
% 28.02/7.21 | (537) $false
% 28.02/7.21 |
% 28.02/7.21 |-The branch is then unsatisfiable
% 28.02/7.21 |-Branch two:
% 28.02/7.21 | (1521) ~ (all_0_256_256 = e10)
% 28.02/7.21 | (871) all_0_257_257 = e10
% 28.02/7.21 |
% 28.02/7.21 | Equations (871) can reduce 843 to:
% 28.02/7.21 | (872) ~ (e13 = e10)
% 28.02/7.21 |
% 28.02/7.22 | Simplifying 872 yields:
% 28.02/7.22 | (210) ~ (e13 = e10)
% 28.02/7.22 |
% 28.02/7.22 | Equations (871) can reduce 747 to:
% 28.02/7.22 | (906) ~ (e11 = e10)
% 28.02/7.22 |
% 28.02/7.22 | Simplifying 906 yields:
% 28.02/7.22 | (293) ~ (e11 = e10)
% 28.02/7.22 |
% 28.02/7.22 | From (871) and (148) follows:
% 28.02/7.22 | (876) op1(e10, e11) = all_0_232_232
% 28.02/7.22 |
% 28.02/7.22 | Instantiating formula (144) with e13, e13, all_0_204_204, all_0_189_189 and discharging atoms op1(e13, e13) = all_0_189_189, op1(e13, e13) = all_0_204_204, yields:
% 28.02/7.22 | (2745) all_0_189_189 = all_0_204_204
% 28.02/7.22 |
% 28.02/7.22 | Instantiating formula (144) with e13, e13, all_0_205_205, all_0_186_186 and discharging atoms op1(e13, e13) = all_0_186_186, op1(e13, e13) = all_0_205_205, yields:
% 28.02/7.22 | (2746) all_0_186_186 = all_0_205_205
% 28.02/7.22 |
% 28.02/7.22 | Instantiating formula (144) with e13, e13, all_0_205_205, all_0_189_189 and discharging atoms op1(e13, e13) = all_0_189_189, op1(e13, e13) = all_0_205_205, yields:
% 28.02/7.22 | (2747) all_0_189_189 = all_0_205_205
% 28.02/7.22 |
% 28.02/7.22 | Instantiating formula (144) with e13, e13, all_0_223_223, all_0_186_186 and discharging atoms op1(e13, e13) = all_0_186_186, op1(e13, e13) = all_0_223_223, yields:
% 28.02/7.22 | (2748) all_0_186_186 = all_0_223_223
% 28.02/7.22 |
% 28.02/7.22 | Instantiating formula (144) with e13, e13, e12, all_0_189_189 and discharging atoms op1(e13, e13) = all_0_189_189, op1(e13, e13) = e12, yields:
% 28.02/7.22 | (2749) all_0_189_189 = e12
% 28.02/7.22 |
% 28.02/7.22 | Instantiating formula (144) with e13, e12, all_0_202_202, all_0_183_183 and discharging atoms op1(e13, e12) = all_0_183_183, op1(e13, e12) = all_0_202_202, yields:
% 28.02/7.22 | (2750) all_0_183_183 = all_0_202_202
% 28.02/7.22 |
% 28.02/7.22 | Instantiating formula (144) with e13, e12, all_0_202_202, all_0_192_192 and discharging atoms op1(e13, e12) = all_0_192_192, op1(e13, e12) = all_0_202_202, yields:
% 28.02/7.22 | (2751) all_0_192_192 = all_0_202_202
% 28.02/7.22 |
% 28.02/7.22 | Instantiating formula (144) with e13, e12, all_0_203_203, all_0_202_202 and discharging atoms op1(e13, e12) = all_0_202_202, op1(e13, e12) = all_0_203_203, yields:
% 28.02/7.22 | (2752) all_0_202_202 = all_0_203_203
% 28.02/7.22 |
% 28.02/7.22 | Instantiating formula (144) with e13, e12, all_0_221_221, all_0_192_192 and discharging atoms op1(e13, e12) = all_0_192_192, op1(e13, e12) = all_0_221_221, yields:
% 28.02/7.22 | (2753) all_0_192_192 = all_0_221_221
% 28.02/7.22 |
% 28.02/7.22 | Instantiating formula (144) with e13, e12, e13, all_0_183_183 and discharging atoms op1(e13, e12) = all_0_183_183, op1(e13, e12) = e13, yields:
% 28.02/7.22 | (2754) all_0_183_183 = e13
% 28.02/7.22 |
% 28.02/7.22 | Instantiating formula (144) with e13, e11, e10, all_0_224_224 and discharging atoms op1(e13, e11) = all_0_224_224, op1(e13, e11) = e10, yields:
% 28.02/7.22 | (919) all_0_224_224 = e10
% 28.02/7.22 |
% 28.02/7.22 | Instantiating formula (144) with e12, e12, all_0_193_193, all_0_165_165 and discharging atoms op1(e12, e12) = all_0_165_165, op1(e12, e12) = all_0_193_193, yields:
% 28.02/7.22 | (2756) all_0_165_165 = all_0_193_193
% 28.02/7.22 |
% 28.02/7.22 | Instantiating formula (144) with e12, e12, all_0_218_218, all_0_193_193 and discharging atoms op1(e12, e12) = all_0_193_193, op1(e12, e12) = all_0_218_218, yields:
% 28.02/7.22 | (2757) all_0_193_193 = all_0_218_218
% 28.02/7.22 |
% 28.02/7.22 | Instantiating formula (144) with e12, e12, e10, all_0_165_165 and discharging atoms op1(e12, e12) = all_0_165_165, op1(e12, e12) = e10, yields:
% 28.02/7.22 | (2758) all_0_165_165 = e10
% 28.02/7.22 |
% 28.02/7.22 | Instantiating formula (144) with e11, e12, all_0_184_184, all_0_166_166 and discharging atoms op1(e11, e12) = all_0_166_166, op1(e11, e12) = all_0_184_184, yields:
% 28.02/7.22 | (2759) all_0_166_166 = all_0_184_184
% 28.02/7.22 |
% 28.02/7.22 | Instantiating formula (144) with e11, e12, all_0_228_228, all_0_166_166 and discharging atoms op1(e11, e12) = all_0_166_166, op1(e11, e12) = all_0_228_228, yields:
% 28.02/7.22 | (2760) all_0_166_166 = all_0_228_228
% 28.02/7.22 |
% 28.02/7.22 | Instantiating formula (144) with e11, e12, e12, all_0_166_166 and discharging atoms op1(e11, e12) = all_0_166_166, op1(e11, e12) = e12, yields:
% 28.02/7.22 | (2761) all_0_166_166 = e12
% 28.02/7.22 |
% 28.02/7.22 | Instantiating formula (144) with e10, e13, all_0_170_170, e10 and discharging atoms op1(e10, e13) = all_0_170_170, op1(e10, e13) = e10, yields:
% 28.02/7.22 | (2762) all_0_170_170 = e10
% 28.02/7.22 |
% 28.02/7.22 | Instantiating formula (144) with e10, e13, all_0_188_188, all_0_170_170 and discharging atoms op1(e10, e13) = all_0_170_170, op1(e10, e13) = all_0_188_188, yields:
% 28.02/7.22 | (2763) all_0_170_170 = all_0_188_188
% 28.02/7.22 |
% 28.02/7.22 | Instantiating formula (144) with e10, e13, all_0_191_191, all_0_170_170 and discharging atoms op1(e10, e13) = all_0_170_170, op1(e10, e13) = all_0_191_191, yields:
% 28.02/7.22 | (2764) all_0_170_170 = all_0_191_191
% 28.02/7.22 |
% 28.02/7.22 | Instantiating formula (144) with e10, e13, all_0_207_207, all_0_170_170 and discharging atoms op1(e10, e13) = all_0_170_170, op1(e10, e13) = all_0_207_207, yields:
% 28.02/7.22 | (2765) all_0_170_170 = all_0_207_207
% 28.02/7.22 |
% 28.02/7.22 | Instantiating formula (144) with e10, e11, all_0_206_206, e13 and discharging atoms op1(e10, e11) = all_0_206_206, op1(e10, e11) = e13, yields:
% 28.02/7.22 | (2766) all_0_206_206 = e13
% 28.02/7.22 |
% 28.02/7.22 | Instantiating formula (144) with e10, e11, all_0_232_232, all_0_206_206 and discharging atoms op1(e10, e11) = all_0_206_206, op1(e10, e11) = all_0_232_232, yields:
% 28.02/7.22 | (2767) all_0_206_206 = all_0_232_232
% 28.02/7.22 |
% 28.02/7.22 | Combining equations (2756,2758) yields a new equation:
% 28.02/7.22 | (2768) all_0_193_193 = e10
% 28.02/7.22 |
% 28.02/7.22 | Simplifying 2768 yields:
% 28.02/7.22 | (2769) all_0_193_193 = e10
% 28.02/7.22 |
% 28.02/7.22 | Combining equations (2760,2759) yields a new equation:
% 28.02/7.22 | (2770) all_0_184_184 = all_0_228_228
% 28.02/7.22 |
% 28.02/7.22 | Combining equations (2761,2759) yields a new equation:
% 28.02/7.22 | (2771) all_0_184_184 = e12
% 28.02/7.22 |
% 28.02/7.22 | Combining equations (2762,2763) yields a new equation:
% 28.02/7.22 | (2772) all_0_188_188 = e10
% 28.02/7.22 |
% 28.02/7.22 | Combining equations (2764,2763) yields a new equation:
% 28.02/7.22 | (2773) all_0_188_188 = all_0_191_191
% 28.02/7.22 |
% 28.02/7.22 | Combining equations (2765,2763) yields a new equation:
% 28.02/7.22 | (2774) all_0_188_188 = all_0_207_207
% 28.02/7.22 |
% 28.02/7.22 | Combining equations (2750,2754) yields a new equation:
% 28.02/7.22 | (2775) all_0_202_202 = e13
% 28.02/7.22 |
% 28.02/7.22 | Simplifying 2775 yields:
% 28.02/7.22 | (2776) all_0_202_202 = e13
% 28.02/7.22 |
% 28.02/7.22 | Combining equations (2771,2770) yields a new equation:
% 28.02/7.22 | (893) all_0_228_228 = e12
% 28.02/7.22 |
% 28.02/7.22 | Combining equations (2746,2748) yields a new equation:
% 28.02/7.22 | (2778) all_0_205_205 = all_0_223_223
% 28.02/7.22 |
% 28.02/7.22 | Simplifying 2778 yields:
% 28.02/7.22 | (2779) all_0_205_205 = all_0_223_223
% 28.02/7.22 |
% 28.02/7.22 | Combining equations (2774,2773) yields a new equation:
% 28.02/7.22 | (2780) all_0_191_191 = all_0_207_207
% 28.02/7.22 |
% 28.02/7.22 | Combining equations (2772,2773) yields a new equation:
% 28.02/7.22 | (1567) all_0_191_191 = e10
% 28.02/7.22 |
% 28.02/7.22 | Combining equations (2747,2745) yields a new equation:
% 28.02/7.22 | (2782) all_0_204_204 = all_0_205_205
% 28.02/7.22 |
% 28.02/7.22 | Combining equations (2749,2745) yields a new equation:
% 28.02/7.22 | (949) all_0_204_204 = e12
% 28.02/7.22 |
% 28.02/7.22 | Combining equations (1567,2780) yields a new equation:
% 28.02/7.22 | (1068) all_0_207_207 = e10
% 28.02/7.22 |
% 28.02/7.22 | Combining equations (2751,2753) yields a new equation:
% 28.02/7.22 | (2785) all_0_202_202 = all_0_221_221
% 28.02/7.22 |
% 28.02/7.22 | Simplifying 2785 yields:
% 28.02/7.22 | (2786) all_0_202_202 = all_0_221_221
% 28.02/7.22 |
% 28.02/7.22 | Combining equations (2769,2757) yields a new equation:
% 28.02/7.22 | (1067) all_0_218_218 = e10
% 28.02/7.22 |
% 28.02/7.22 | Combining equations (2786,2752) yields a new equation:
% 28.02/7.22 | (2788) all_0_203_203 = all_0_221_221
% 28.02/7.22 |
% 28.02/7.22 | Combining equations (2776,2752) yields a new equation:
% 28.02/7.22 | (2789) all_0_203_203 = e13
% 28.02/7.22 |
% 28.02/7.22 | Combining equations (2788,2789) yields a new equation:
% 28.02/7.22 | (2790) all_0_221_221 = e13
% 28.02/7.22 |
% 28.02/7.22 | Simplifying 2790 yields:
% 28.02/7.22 | (840) all_0_221_221 = e13
% 28.02/7.22 |
% 28.02/7.22 | Combining equations (2782,949) yields a new equation:
% 28.02/7.22 | (2792) all_0_205_205 = e12
% 28.02/7.22 |
% 28.02/7.22 | Simplifying 2792 yields:
% 28.02/7.22 | (2082) all_0_205_205 = e12
% 28.02/7.22 |
% 28.02/7.22 | Combining equations (2082,2779) yields a new equation:
% 28.02/7.22 | (2794) all_0_223_223 = e12
% 28.02/7.22 |
% 28.02/7.22 | Combining equations (2766,2767) yields a new equation:
% 28.02/7.22 | (889) all_0_232_232 = e13
% 28.02/7.22 |
% 28.02/7.23 | Combining equations (2794,2779) yields a new equation:
% 28.02/7.23 | (2082) all_0_205_205 = e12
% 28.02/7.23 |
% 28.02/7.23 +-Applying beta-rule and splitting (257), into two cases.
% 28.02/7.23 |-Branch one:
% 28.02/7.23 | (940) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)) | (all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10))
% 28.02/7.23 |
% 28.02/7.23 +-Applying beta-rule and splitting (940), into two cases.
% 28.02/7.23 |-Branch one:
% 28.02/7.23 | (941) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12))
% 28.02/7.23 |
% 28.02/7.23 +-Applying beta-rule and splitting (941), into two cases.
% 28.02/7.23 |-Branch one:
% 28.02/7.23 | (942) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13))
% 28.02/7.23 |
% 28.02/7.23 +-Applying beta-rule and splitting (942), into two cases.
% 28.02/7.23 |-Branch one:
% 28.02/7.23 | (943) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10))
% 28.02/7.23 |
% 28.02/7.23 +-Applying beta-rule and splitting (943), into two cases.
% 28.02/7.23 |-Branch one:
% 28.02/7.23 | (944) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11))
% 28.02/7.23 |
% 28.02/7.23 +-Applying beta-rule and splitting (944), into two cases.
% 28.02/7.23 |-Branch one:
% 28.02/7.23 | (945) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13))
% 28.02/7.23 |
% 28.02/7.23 +-Applying beta-rule and splitting (945), into two cases.
% 28.02/7.23 |-Branch one:
% 28.02/7.23 | (946) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10))
% 28.02/7.23 |
% 28.02/7.23 +-Applying beta-rule and splitting (946), into two cases.
% 28.02/7.23 |-Branch one:
% 28.02/7.23 | (947) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11))
% 28.02/7.23 |
% 28.02/7.23 +-Applying beta-rule and splitting (947), into two cases.
% 28.02/7.23 |-Branch one:
% 28.02/7.23 | (948) all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)
% 28.02/7.23 |
% 28.02/7.23 | Applying alpha-rule on (948) yields:
% 28.02/7.23 | (949) all_0_204_204 = e12
% 28.02/7.23 | (950) ~ (all_0_203_203 = e13)
% 28.02/7.23 | (951) ~ (all_0_205_205 = e12)
% 28.02/7.23 |
% 28.02/7.23 | Equations (2082) can reduce 951 to:
% 28.02/7.23 | (537) $false
% 28.02/7.23 |
% 28.02/7.23 |-The branch is then unsatisfiable
% 28.02/7.23 |-Branch two:
% 28.02/7.23 | (954) all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)
% 28.02/7.23 |
% 28.02/7.23 | Applying alpha-rule on (954) yields:
% 28.02/7.23 | (955) all_0_207_207 = e11
% 28.02/7.23 | (956) ~ (all_0_206_206 = e13)
% 28.02/7.23 | (957) ~ (all_0_208_208 = e11)
% 28.02/7.23 |
% 28.02/7.23 | Combining equations (1068,955) yields a new equation:
% 28.02/7.23 | (868) e11 = e10
% 28.02/7.23 |
% 28.02/7.23 | Equations (868) can reduce 293 to:
% 28.02/7.23 | (537) $false
% 28.02/7.23 |
% 28.02/7.23 |-The branch is then unsatisfiable
% 28.02/7.23 |-Branch two:
% 28.02/7.23 | (961) all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)
% 28.02/7.23 |
% 28.02/7.23 | Applying alpha-rule on (961) yields:
% 28.02/7.23 | (962) all_0_210_210 = e10
% 28.02/7.23 | (963) ~ (all_0_209_209 = e13)
% 28.02/7.23 | (964) ~ (all_0_211_211 = e10)
% 28.02/7.23 |
% 28.02/7.23 | Combining equations (2681,962) yields a new equation:
% 28.02/7.23 | (983) e13 = e10
% 28.02/7.23 |
% 28.02/7.23 | Simplifying 983 yields:
% 28.02/7.23 | (862) e13 = e10
% 28.02/7.23 |
% 28.02/7.23 | Equations (862) can reduce 210 to:
% 28.02/7.23 | (537) $false
% 28.02/7.23 |
% 28.02/7.23 |-The branch is then unsatisfiable
% 28.02/7.23 |-Branch two:
% 28.02/7.23 | (968) all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)
% 28.02/7.23 |
% 28.02/7.23 | Applying alpha-rule on (968) yields:
% 28.02/7.23 | (969) all_0_213_213 = e13
% 28.02/7.23 | (970) ~ (all_0_212_212 = e12)
% 28.02/7.23 | (971) ~ (all_0_214_214 = e13)
% 28.02/7.23 |
% 28.02/7.23 | Combining equations (1052,969) yields a new equation:
% 28.02/7.23 | (833) e13 = e12
% 28.02/7.23 |
% 28.02/7.23 | Equations (833) can reduce 305 to:
% 28.02/7.23 | (537) $false
% 28.02/7.23 |
% 28.02/7.23 |-The branch is then unsatisfiable
% 28.02/7.23 |-Branch two:
% 28.02/7.23 | (974) all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)
% 28.02/7.23 |
% 28.02/7.23 | Applying alpha-rule on (974) yields:
% 28.02/7.23 | (975) all_0_218_218 = e11
% 28.02/7.23 | (976) ~ (all_0_217_217 = e12)
% 28.02/7.23 | (977) ~ (all_0_219_219 = e11)
% 28.02/7.23 |
% 28.02/7.23 | Combining equations (1067,975) yields a new equation:
% 28.02/7.23 | (868) e11 = e10
% 28.02/7.23 |
% 28.02/7.23 | Equations (868) can reduce 293 to:
% 28.02/7.23 | (537) $false
% 28.28/7.23 |
% 28.28/7.23 |-The branch is then unsatisfiable
% 28.28/7.23 |-Branch two:
% 28.28/7.23 | (979) all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)
% 28.28/7.23 |
% 28.28/7.23 | Applying alpha-rule on (979) yields:
% 28.28/7.23 | (980) all_0_221_221 = e10
% 28.28/7.23 | (981) ~ (all_0_220_220 = e12)
% 28.28/7.23 | (982) ~ (all_0_222_222 = e10)
% 28.28/7.23 |
% 28.28/7.23 | Combining equations (840,980) yields a new equation:
% 28.28/7.23 | (983) e13 = e10
% 28.28/7.23 |
% 28.28/7.23 | Simplifying 983 yields:
% 28.28/7.23 | (862) e13 = e10
% 28.28/7.23 |
% 28.28/7.23 | Equations (862) can reduce 210 to:
% 28.28/7.23 | (537) $false
% 28.28/7.23 |
% 28.28/7.23 |-The branch is then unsatisfiable
% 28.28/7.23 |-Branch two:
% 28.28/7.23 | (986) all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)
% 28.28/7.23 |
% 28.28/7.23 | Applying alpha-rule on (986) yields:
% 28.28/7.23 | (987) all_0_224_224 = e13
% 28.28/7.23 | (988) ~ (all_0_223_223 = e11)
% 28.28/7.23 | (989) ~ (all_0_225_225 = e13)
% 28.28/7.23 |
% 28.28/7.23 | Combining equations (919,987) yields a new equation:
% 28.28/7.23 | (862) e13 = e10
% 28.28/7.23 |
% 28.28/7.23 | Equations (862) can reduce 210 to:
% 28.28/7.23 | (537) $false
% 28.28/7.23 |
% 28.28/7.23 |-The branch is then unsatisfiable
% 28.28/7.23 |-Branch two:
% 28.28/7.23 | (992) all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)
% 28.28/7.23 |
% 28.28/7.23 | Applying alpha-rule on (992) yields:
% 28.28/7.23 | (993) all_0_227_227 = e12
% 28.28/7.23 | (994) ~ (all_0_226_226 = e11)
% 28.28/7.23 | (995) ~ (all_0_228_228 = e12)
% 28.28/7.23 |
% 28.28/7.23 | Equations (893) can reduce 995 to:
% 28.28/7.23 | (537) $false
% 28.28/7.23 |
% 28.28/7.23 |-The branch is then unsatisfiable
% 28.28/7.23 |-Branch two:
% 28.28/7.23 | (997) all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10)
% 28.28/7.23 |
% 28.28/7.23 | Applying alpha-rule on (997) yields:
% 28.28/7.23 | (998) all_0_232_232 = e10
% 28.28/7.23 | (999) ~ (all_0_231_231 = e11)
% 28.28/7.23 | (1000) ~ (all_0_233_233 = e10)
% 28.28/7.23 |
% 28.28/7.23 | Combining equations (998,889) yields a new equation:
% 28.28/7.23 | (862) e13 = e10
% 28.28/7.23 |
% 28.28/7.23 | Equations (862) can reduce 210 to:
% 28.28/7.23 | (537) $false
% 28.28/7.23 |
% 28.28/7.23 |-The branch is then unsatisfiable
% 28.28/7.23 |-Branch two:
% 28.28/7.23 | (1004) all_0_249_249 = e11 & ~ (all_0_248_248 = e10)
% 28.28/7.23 |
% 28.28/7.23 | Applying alpha-rule on (1004) yields:
% 28.28/7.23 | (1005) all_0_249_249 = e11
% 28.28/7.23 | (905) ~ (all_0_248_248 = e10)
% 28.28/7.23 |
% 28.28/7.23 | Equations (910) can reduce 905 to:
% 28.28/7.23 | (537) $false
% 28.28/7.23 |
% 28.28/7.23 |-The branch is then unsatisfiable
% 28.28/7.23 |-Branch two:
% 28.28/7.23 | (921) ~ (all_0_251_251 = e10)
% 28.28/7.23 | (1226) all_0_252_252 = e10 | all_0_253_253 = e10
% 28.28/7.23 |
% 28.28/7.23 +-Applying beta-rule and splitting (1026), into two cases.
% 28.28/7.23 |-Branch one:
% 28.28/7.23 | (1011) all_0_251_251 = e10
% 28.28/7.23 |
% 28.28/7.23 | Equations (1011) can reduce 921 to:
% 28.28/7.23 | (537) $false
% 28.28/7.23 |
% 28.28/7.23 |-The branch is then unsatisfiable
% 28.28/7.23 |-Branch two:
% 28.28/7.23 | (921) ~ (all_0_251_251 = e10)
% 28.28/7.23 | (1178) all_0_255_255 = e10
% 28.28/7.23 |
% 28.28/7.23 | Combining equations (1403,1178) yields a new equation:
% 28.28/7.23 | (1159) e12 = e10
% 28.28/7.23 |
% 28.28/7.23 | Simplifying 1159 yields:
% 28.28/7.23 | (952) e12 = e10
% 28.28/7.23 |
% 28.28/7.23 | Equations (952) can reduce 8 to:
% 28.28/7.23 | (537) $false
% 28.28/7.23 |
% 28.28/7.23 |-The branch is then unsatisfiable
% 28.28/7.23 |-Branch two:
% 28.28/7.23 | (1186) ~ (all_0_253_253 = e13)
% 28.28/7.23 | (1187) all_0_257_257 = e13
% 28.28/7.23 |
% 28.28/7.23 | Equations (1187) can reduce 843 to:
% 28.28/7.23 | (537) $false
% 28.28/7.23 |
% 28.28/7.23 |-The branch is then unsatisfiable
% 28.28/7.23 |-Branch two:
% 28.28/7.23 | (1405) ~ (all_0_247_247 = e13)
% 28.28/7.23 | (1454) all_0_247_247 = e12 | all_0_247_247 = e10
% 28.28/7.23 |
% 28.28/7.23 +-Applying beta-rule and splitting (1508), into two cases.
% 28.28/7.23 |-Branch one:
% 28.28/7.23 | (1187) all_0_257_257 = e13
% 28.28/7.23 |
% 28.28/7.23 | Equations (1187) can reduce 843 to:
% 28.28/7.23 | (537) $false
% 28.28/7.23 |
% 28.28/7.23 |-The branch is then unsatisfiable
% 28.28/7.23 |-Branch two:
% 28.28/7.23 | (843) ~ (all_0_257_257 = e13)
% 28.28/7.23 | (871) all_0_257_257 = e10
% 28.28/7.23 |
% 28.28/7.23 | Equations (871) can reduce 51 to:
% 28.28/7.23 | (870) ~ (all_0_253_253 = e10)
% 28.28/7.23 |
% 28.28/7.23 | Equations (871) can reduce 384 to:
% 28.28/7.23 | (874) ~ (e12 = e10)
% 28.28/7.23 |
% 28.28/7.23 | Simplifying 874 yields:
% 28.28/7.23 | (8) ~ (e12 = e10)
% 28.28/7.23 |
% 28.28/7.23 +-Applying beta-rule and splitting (372), into two cases.
% 28.28/7.23 |-Branch one:
% 28.28/7.23 | (1011) all_0_251_251 = e10
% 28.28/7.23 |
% 28.28/7.23 | Equations (1011) can reduce 296 to:
% 28.28/7.23 | (1025) ~ (all_0_247_247 = e10)
% 28.28/7.23 |
% 28.28/7.23 +-Applying beta-rule and splitting (1454), into two cases.
% 28.28/7.23 |-Branch one:
% 28.28/7.23 | (1051) all_0_247_247 = e12
% 28.28/7.23 |
% 28.28/7.23 | Equations (1051) can reduce 1150 to:
% 28.28/7.23 | (537) $false
% 28.28/7.23 |
% 28.28/7.23 |-The branch is then unsatisfiable
% 28.28/7.23 |-Branch two:
% 28.28/7.23 | (1150) ~ (all_0_247_247 = e12)
% 28.28/7.23 | (902) all_0_247_247 = e10
% 28.28/7.23 |
% 28.28/7.23 | Equations (902) can reduce 1025 to:
% 28.28/7.23 | (537) $false
% 28.28/7.23 |
% 28.28/7.23 |-The branch is then unsatisfiable
% 28.28/7.23 |-Branch two:
% 28.28/7.23 | (921) ~ (all_0_251_251 = e10)
% 28.28/7.23 | (1226) all_0_252_252 = e10 | all_0_253_253 = e10
% 28.28/7.23 |
% 28.28/7.23 +-Applying beta-rule and splitting (1226), into two cases.
% 28.28/7.23 |-Branch one:
% 28.28/7.23 | (918) all_0_252_252 = e10
% 28.28/7.23 |
% 28.28/7.23 | Combining equations (1056,918) yields a new equation:
% 28.28/7.23 | (1159) e12 = e10
% 28.28/7.23 |
% 28.28/7.23 | Simplifying 1159 yields:
% 28.28/7.23 | (952) e12 = e10
% 28.28/7.23 |
% 28.28/7.23 | Equations (952) can reduce 8 to:
% 28.28/7.23 | (537) $false
% 28.28/7.23 |
% 28.28/7.24 |-The branch is then unsatisfiable
% 28.28/7.24 |-Branch two:
% 28.28/7.24 | (1020) ~ (all_0_252_252 = e10)
% 28.28/7.24 | (866) all_0_253_253 = e10
% 28.28/7.24 |
% 28.28/7.24 | Equations (866) can reduce 870 to:
% 28.28/7.24 | (537) $false
% 28.28/7.24 |
% 28.28/7.24 |-The branch is then unsatisfiable
% 28.28/7.24 |-Branch two:
% 28.28/7.24 | (800) ~ (all_0_255_255 = e12)
% 28.28/7.24 | (1676) all_0_256_256 = e12
% 28.28/7.24 |
% 28.28/7.24 | Combining equations (1676,741) yields a new equation:
% 28.28/7.24 | (771) e12 = e11
% 28.28/7.24 |
% 28.28/7.24 | Simplifying 771 yields:
% 28.28/7.24 | (772) e12 = e11
% 28.28/7.24 |
% 28.28/7.24 | Equations (772) can reduce 113 to:
% 28.28/7.24 | (537) $false
% 28.28/7.24 |
% 28.28/7.24 |-The branch is then unsatisfiable
% 28.28/7.24 |-Branch two:
% 28.28/7.24 | (905) ~ (all_0_248_248 = e10)
% 28.28/7.24 | (913) all_0_252_252 = e10 | all_0_256_256 = e10
% 28.28/7.24 |
% 28.28/7.24 +-Applying beta-rule and splitting (917), into two cases.
% 28.28/7.24 |-Branch one:
% 28.28/7.24 | (927) all_0_248_248 = e12
% 28.28/7.24 |
% 28.28/7.24 | Equations (927) can reduce 1013 to:
% 28.28/7.24 | (537) $false
% 28.28/7.24 |
% 28.28/7.24 |-The branch is then unsatisfiable
% 28.28/7.24 |-Branch two:
% 28.28/7.24 | (1013) ~ (all_0_248_248 = e12)
% 28.28/7.24 | (910) all_0_248_248 = e10
% 28.28/7.24 |
% 28.28/7.24 | Equations (910) can reduce 905 to:
% 28.28/7.24 | (537) $false
% 28.28/7.24 |
% 28.28/7.24 |-The branch is then unsatisfiable
% 28.28/7.24 |-Branch two:
% 28.28/7.24 | (1147) ~ (all_0_252_252 = e12)
% 28.28/7.24 | (1676) all_0_256_256 = e12
% 28.28/7.24 |
% 28.28/7.24 | Combining equations (741,1676) yields a new equation:
% 28.28/7.24 | (772) e12 = e11
% 28.28/7.24 |
% 28.28/7.24 | Equations (772) can reduce 113 to:
% 28.28/7.24 | (537) $false
% 28.28/7.24 |
% 28.28/7.24 |-The branch is then unsatisfiable
% 28.28/7.24 |-Branch two:
% 28.28/7.24 | (774) ~ (all_0_246_246 = e12)
% 28.28/7.24 | (1966) all_0_250_250 = e12 | all_0_254_254 = e12
% 28.28/7.24 |
% 28.28/7.24 +-Applying beta-rule and splitting (1966), into two cases.
% 28.28/7.24 |-Branch one:
% 28.28/7.24 | (1152) all_0_250_250 = e12
% 28.28/7.24 |
% 28.28/7.24 | Combining equations (716,1152) yields a new equation:
% 28.28/7.24 | (772) e12 = e11
% 28.28/7.24 |
% 28.28/7.24 | Equations (772) can reduce 113 to:
% 28.28/7.24 | (537) $false
% 28.28/7.24 |
% 28.28/7.24 |-The branch is then unsatisfiable
% 28.28/7.24 |-Branch two:
% 28.28/7.24 | (1156) ~ (all_0_250_250 = e12)
% 28.28/7.24 | (798) all_0_254_254 = e12
% 28.28/7.24 |
% 28.28/7.24 | Combining equations (798,2545) yields a new equation:
% 28.28/7.24 | (1539) all_0_212_212 = e12
% 28.28/7.24 |
% 28.28/7.24 | Combining equations (798,2593) yields a new equation:
% 28.28/7.24 | (1889) all_0_210_210 = e12
% 28.28/7.24 |
% 28.28/7.24 | Equations (798) can reduce 12 to:
% 28.28/7.24 | (799) ~ (all_0_255_255 = e12)
% 28.28/7.24 |
% 28.28/7.24 | Simplifying 799 yields:
% 28.28/7.24 | (800) ~ (all_0_255_255 = e12)
% 28.28/7.24 |
% 28.28/7.24 | Equations (798) can reduce 242 to:
% 28.28/7.24 | (801) ~ (all_0_257_257 = e12)
% 28.28/7.24 |
% 28.28/7.24 | Simplifying 801 yields:
% 28.28/7.24 | (384) ~ (all_0_257_257 = e12)
% 28.28/7.24 |
% 28.28/7.24 | Equations (798) can reduce 142 to:
% 28.28/7.24 | (8) ~ (e12 = e10)
% 28.28/7.24 |
% 28.28/7.24 | From (798) and (450) follows:
% 28.28/7.24 | (806) op1(e12, e13) = all_0_223_223
% 28.28/7.24 |
% 28.28/7.24 | From (798) and (301) follows:
% 28.28/7.24 | (807) op1(e12, e11) = all_0_224_224
% 28.28/7.24 |
% 28.28/7.24 | From (798) and (420) follows:
% 28.28/7.24 | (808) op1(e13, e12) = all_0_189_189
% 28.28/7.24 |
% 28.28/7.24 | From (798) and (104) follows:
% 28.28/7.24 | (809) op1(e12, e12) = all_0_190_190
% 28.28/7.24 |
% 28.28/7.24 | From (798) and (243) follows:
% 28.28/7.24 | (2934) op1(e10, e12) = all_0_191_191
% 28.28/7.24 |
% 28.28/7.24 +-Applying beta-rule and splitting (125), into two cases.
% 28.28/7.24 |-Branch one:
% 28.28/7.24 | (1465) all_0_246_246 = e13
% 28.28/7.24 |
% 28.28/7.24 | Equations (1465) can reduce 248 to:
% 28.28/7.24 | (2936) ~ (all_0_247_247 = e13)
% 28.28/7.24 |
% 28.28/7.24 | Simplifying 2936 yields:
% 28.28/7.24 | (1405) ~ (all_0_247_247 = e13)
% 28.28/7.24 |
% 28.28/7.24 | Equations (1465) can reduce 1692 to:
% 28.28/7.24 | (446) ~ (e13 = e11)
% 28.28/7.24 |
% 28.28/7.24 | From (1465) and (355) follows:
% 28.28/7.24 | (2939) op1(e13, e13) = all_0_202_202
% 28.28/7.24 |
% 28.28/7.24 | From (1465) and (367) follows:
% 28.28/7.24 | (2940) op1(e13, e13) = e13
% 28.28/7.24 |
% 28.28/7.24 | From (1465) and (55) follows:
% 28.28/7.24 | (2941) op1(e12, e13) = all_0_165_165
% 28.28/7.24 |
% 28.28/7.24 | From (1465) and (345) follows:
% 28.28/7.24 | (2942) op1(e10, e13) = all_0_167_167
% 28.28/7.24 |
% 28.28/7.24 | Instantiating formula (144) with e13, e13, e13, all_0_202_202 and discharging atoms op1(e13, e13) = all_0_202_202, op1(e13, e13) = e13, yields:
% 28.28/7.24 | (2776) all_0_202_202 = e13
% 28.28/7.24 |
% 28.28/7.24 | Instantiating formula (144) with e13, e12, all_0_189_189, all_0_247_247 and discharging atoms op1(e13, e12) = all_0_189_189, op1(e13, e12) = all_0_247_247, yields:
% 28.28/7.24 | (813) all_0_189_189 = all_0_247_247
% 28.28/7.24 |
% 28.28/7.24 | Instantiating formula (144) with e12, e13, all_0_165_165, e11 and discharging atoms op1(e12, e13) = all_0_165_165, op1(e12, e13) = e11, yields:
% 28.28/7.24 | (2945) all_0_165_165 = e11
% 28.28/7.24 |
% 28.28/7.24 | Instantiating formula (144) with e12, e13, all_0_223_223, all_0_165_165 and discharging atoms op1(e12, e13) = all_0_165_165, op1(e12, e13) = all_0_223_223, yields:
% 28.28/7.24 | (2946) all_0_165_165 = all_0_223_223
% 28.28/7.24 |
% 28.28/7.24 | Instantiating formula (144) with e12, e12, all_0_190_190, all_0_251_251 and discharging atoms op1(e12, e12) = all_0_190_190, op1(e12, e12) = all_0_251_251, yields:
% 28.28/7.24 | (817) all_0_190_190 = all_0_251_251
% 28.28/7.24 |
% 28.28/7.24 | Instantiating formula (144) with e12, e11, all_0_224_224, all_0_252_252 and discharging atoms op1(e12, e11) = all_0_224_224, op1(e12, e11) = all_0_252_252, yields:
% 28.28/7.24 | (818) all_0_224_224 = all_0_252_252
% 28.28/7.24 |
% 28.28/7.24 | Instantiating formula (144) with e10, e13, all_0_167_167, e10 and discharging atoms op1(e10, e13) = all_0_167_167, op1(e10, e13) = e10, yields:
% 28.28/7.24 | (2949) all_0_167_167 = e10
% 28.28/7.24 |
% 28.28/7.24 | Instantiating formula (144) with e10, e12, all_0_191_191, e11 and discharging atoms op1(e10, e12) = all_0_191_191, op1(e10, e12) = e11, yields:
% 28.28/7.24 | (2950) all_0_191_191 = e11
% 28.28/7.24 |
% 28.28/7.24 | Combining equations (2945,2946) yields a new equation:
% 28.28/7.24 | (2951) all_0_223_223 = e11
% 28.28/7.24 |
% 28.28/7.24 | From (813) and (808) follows:
% 28.28/7.24 | (62) op1(e13, e12) = all_0_247_247
% 28.28/7.24 |
% 28.28/7.24 | From (2951) and (806) follows:
% 28.28/7.24 | (2540) op1(e12, e13) = e11
% 28.28/7.24 |
% 28.28/7.24 | From (817) and (809) follows:
% 28.28/7.24 | (89) op1(e12, e12) = all_0_251_251
% 28.28/7.24 |
% 28.28/7.24 | From (2949) and (2942) follows:
% 28.28/7.24 | (272) op1(e10, e13) = e10
% 28.28/7.24 |
% 28.28/7.24 | From (2950) and (2934) follows:
% 28.28/7.24 | (21) op1(e10, e12) = e11
% 28.28/7.24 |
% 28.28/7.24 +-Applying beta-rule and splitting (124), into two cases.
% 28.28/7.24 |-Branch one:
% 28.28/7.24 | (850) all_0_249_249 = e13
% 28.28/7.24 |
% 28.28/7.24 | Combining equations (1005,850) yields a new equation:
% 28.28/7.24 | (959) e13 = e11
% 28.28/7.24 |
% 28.28/7.24 | Equations (959) can reduce 446 to:
% 28.28/7.24 | (537) $false
% 28.28/7.24 |
% 28.28/7.24 |-The branch is then unsatisfiable
% 28.28/7.24 |-Branch two:
% 28.28/7.24 | (1181) ~ (all_0_249_249 = e13)
% 28.28/7.24 | (1182) all_0_253_253 = e13 | all_0_257_257 = e13
% 28.28/7.24 |
% 28.28/7.24 +-Applying beta-rule and splitting (189), into two cases.
% 28.28/7.24 |-Branch one:
% 28.28/7.24 | (1191) all_0_247_247 = e13
% 28.28/7.24 |
% 28.28/7.24 | Equations (1191) can reduce 1405 to:
% 28.28/7.24 | (537) $false
% 28.28/7.24 |
% 28.28/7.24 |-The branch is then unsatisfiable
% 28.28/7.24 |-Branch two:
% 28.28/7.24 | (1405) ~ (all_0_247_247 = e13)
% 28.28/7.24 | (1406) all_0_251_251 = e13 | all_0_255_255 = e13
% 28.28/7.24 |
% 28.28/7.24 +-Applying beta-rule and splitting (58), into two cases.
% 28.28/7.24 |-Branch one:
% 28.28/7.24 | (1051) all_0_247_247 = e12
% 28.28/7.24 |
% 28.28/7.24 | Equations (1051) can reduce 240 to:
% 28.28/7.24 | (799) ~ (all_0_255_255 = e12)
% 28.28/7.24 |
% 28.28/7.24 | Simplifying 799 yields:
% 28.28/7.24 | (800) ~ (all_0_255_255 = e12)
% 28.28/7.24 |
% 28.28/7.24 | From (1051) and (289) follows:
% 28.28/7.24 | (1053) op1(e12, e13) = all_0_204_204
% 28.28/7.24 |
% 28.28/7.24 | From (1051) and (230) follows:
% 28.28/7.24 | (1054) op1(e12, e12) = all_0_203_203
% 28.28/7.24 |
% 28.28/7.24 | From (1051) and (213) follows:
% 28.28/7.24 | (2403) op1(e13, e12) = all_0_205_205
% 28.28/7.24 |
% 28.28/7.24 | From (1051) and (62) follows:
% 28.28/7.24 | (2404) op1(e13, e12) = e12
% 28.28/7.24 |
% 28.28/7.24 | From (1051) and (117) follows:
% 28.28/7.24 | (1055) op1(e12, e12) = all_0_168_168
% 28.28/7.24 |
% 28.28/7.24 | From (1051) and (315) follows:
% 28.28/7.24 | (2974) op1(e10, e12) = all_0_170_170
% 28.28/7.24 |
% 28.28/7.24 +-Applying beta-rule and splitting (395), into two cases.
% 28.28/7.24 |-Branch one:
% 28.28/7.24 | (734) all_0_248_248 = e11
% 28.28/7.24 |
% 28.28/7.24 | Equations (734) can reduce 724 to:
% 28.28/7.24 | (537) $false
% 28.28/7.24 |
% 28.28/7.24 |-The branch is then unsatisfiable
% 28.28/7.24 |-Branch two:
% 28.28/7.24 | (724) ~ (all_0_248_248 = e11)
% 28.28/7.24 | (917) all_0_248_248 = e12 | all_0_248_248 = e10
% 28.28/7.24 |
% 28.28/7.24 +-Applying beta-rule and splitting (398), into two cases.
% 28.28/7.24 |-Branch one:
% 28.28/7.24 | (902) all_0_247_247 = e10
% 28.28/7.24 |
% 28.28/7.24 | Combining equations (1051,902) yields a new equation:
% 28.28/7.24 | (1159) e12 = e10
% 28.28/7.24 |
% 28.28/7.24 | Simplifying 1159 yields:
% 28.28/7.24 | (952) e12 = e10
% 28.28/7.24 |
% 28.28/7.24 | Equations (952) can reduce 8 to:
% 28.28/7.24 | (537) $false
% 28.28/7.24 |
% 28.28/7.24 |-The branch is then unsatisfiable
% 28.28/7.24 |-Branch two:
% 28.28/7.24 | (1025) ~ (all_0_247_247 = e10)
% 28.28/7.24 | (1030) all_0_248_248 = e10 | all_0_249_249 = e10
% 28.28/7.24 |
% 28.28/7.24 +-Applying beta-rule and splitting (1030), into two cases.
% 28.28/7.24 |-Branch one:
% 28.28/7.24 | (910) all_0_248_248 = e10
% 28.28/7.24 |
% 28.28/7.24 | Equations (910) can reduce 153 to:
% 28.28/7.24 | (1037) ~ (all_0_252_252 = e10)
% 28.28/7.24 |
% 28.28/7.24 | Simplifying 1037 yields:
% 28.28/7.24 | (1020) ~ (all_0_252_252 = e10)
% 28.28/7.24 |
% 28.28/7.24 | Equations (910) can reduce 724 to:
% 28.28/7.24 | (906) ~ (e11 = e10)
% 28.28/7.24 |
% 28.28/7.25 | Simplifying 906 yields:
% 28.28/7.25 | (293) ~ (e11 = e10)
% 28.28/7.25 |
% 28.28/7.25 | From (910) and (410) follows:
% 28.28/7.25 | (1043) op1(e10, e13) = all_0_207_207
% 28.28/7.25 |
% 28.28/7.25 | From (910) and (170) follows:
% 28.28/7.25 | (2673) op1(e10, e11) = all_0_206_206
% 28.28/7.25 |
% 28.28/7.25 | From (910) and (304) follows:
% 28.28/7.25 | (2992) op1(e13, e10) = all_0_208_208
% 28.28/7.25 |
% 28.28/7.25 | From (910) and (24) follows:
% 28.28/7.25 | (2674) op1(e13, e11) = e10
% 28.28/7.25 |
% 28.28/7.25 +-Applying beta-rule and splitting (769), into two cases.
% 28.28/7.25 |-Branch one:
% 28.28/7.25 | (1056) all_0_252_252 = e12
% 28.28/7.25 |
% 28.28/7.25 | Combining equations (1056,818) yields a new equation:
% 28.28/7.25 | (1057) all_0_224_224 = e12
% 28.28/7.25 |
% 28.28/7.25 | Equations (1056) can reduce 458 to:
% 28.28/7.25 | (1010) ~ (all_0_251_251 = e12)
% 28.28/7.25 |
% 28.28/7.25 | Equations (1056) can reduce 25 to:
% 28.28/7.25 | (2658) ~ (all_0_253_253 = e12)
% 28.28/7.25 |
% 28.28/7.25 | Simplifying 2658 yields:
% 28.28/7.25 | (46) ~ (all_0_253_253 = e12)
% 28.28/7.25 |
% 28.28/7.25 | Equations (1056) can reduce 697 to:
% 28.28/7.25 | (113) ~ (e12 = e11)
% 28.28/7.25 |
% 28.28/7.25 | From (1056) and (190) follows:
% 28.28/7.25 | (1061) op1(e12, e12) = all_0_218_218
% 28.28/7.25 |
% 28.28/7.25 | From (1056) and (423) follows:
% 28.28/7.25 | (2662) op1(e13, e12) = all_0_183_183
% 28.28/7.25 |
% 28.28/7.25 | From (1056) and (80) follows:
% 28.28/7.25 | (3002) op1(e10, e12) = all_0_185_185
% 28.28/7.25 |
% 28.28/7.25 | Instantiating formula (144) with e13, e12, all_0_205_205, all_0_183_183 and discharging atoms op1(e13, e12) = all_0_183_183, op1(e13, e12) = all_0_205_205, yields:
% 28.28/7.25 | (3003) all_0_183_183 = all_0_205_205
% 28.28/7.25 |
% 28.28/7.25 | Instantiating formula (144) with e13, e12, e12, all_0_183_183 and discharging atoms op1(e13, e12) = all_0_183_183, op1(e13, e12) = e12, yields:
% 28.28/7.25 | (3004) all_0_183_183 = e12
% 28.28/7.25 |
% 28.28/7.25 | Instantiating formula (144) with e13, e10, all_0_208_208, e11 and discharging atoms op1(e13, e10) = all_0_208_208, op1(e13, e10) = e11, yields:
% 28.28/7.25 | (1741) all_0_208_208 = e11
% 28.28/7.25 |
% 28.28/7.25 | Instantiating formula (144) with e12, e13, all_0_204_204, e11 and discharging atoms op1(e12, e13) = all_0_204_204, op1(e12, e13) = e11, yields:
% 28.28/7.25 | (1325) all_0_204_204 = e11
% 28.28/7.25 |
% 28.28/7.25 | Instantiating formula (144) with e12, e12, all_0_203_203, all_0_251_251 and discharging atoms op1(e12, e12) = all_0_203_203, op1(e12, e12) = all_0_251_251, yields:
% 28.28/7.25 | (3007) all_0_203_203 = all_0_251_251
% 28.28/7.25 |
% 28.28/7.25 | Instantiating formula (144) with e12, e12, all_0_203_203, all_0_168_168 and discharging atoms op1(e12, e12) = all_0_168_168, op1(e12, e12) = all_0_203_203, yields:
% 28.28/7.25 | (1064) all_0_168_168 = all_0_203_203
% 28.28/7.25 |
% 28.28/7.25 | Instantiating formula (144) with e12, e12, all_0_218_218, all_0_168_168 and discharging atoms op1(e12, e12) = all_0_168_168, op1(e12, e12) = all_0_218_218, yields:
% 28.28/7.25 | (3009) all_0_168_168 = all_0_218_218
% 28.28/7.25 |
% 28.28/7.25 | Instantiating formula (144) with e10, e13, all_0_207_207, e10 and discharging atoms op1(e10, e13) = all_0_207_207, op1(e10, e13) = e10, yields:
% 28.28/7.25 | (1068) all_0_207_207 = e10
% 28.28/7.25 |
% 28.28/7.25 | Instantiating formula (144) with e10, e12, all_0_170_170, e11 and discharging atoms op1(e10, e12) = all_0_170_170, op1(e10, e12) = e11, yields:
% 28.28/7.25 | (3011) all_0_170_170 = e11
% 28.28/7.25 |
% 28.28/7.25 | Instantiating formula (144) with e10, e12, all_0_185_185, all_0_170_170 and discharging atoms op1(e10, e12) = all_0_170_170, op1(e10, e12) = all_0_185_185, yields:
% 28.28/7.25 | (3012) all_0_170_170 = all_0_185_185
% 28.28/7.25 |
% 28.28/7.25 | Instantiating formula (144) with e10, e11, all_0_206_206, e13 and discharging atoms op1(e10, e11) = all_0_206_206, op1(e10, e11) = e13, yields:
% 28.28/7.25 | (2766) all_0_206_206 = e13
% 28.28/7.25 |
% 28.28/7.25 | Combining equations (1064,3009) yields a new equation:
% 28.28/7.25 | (3014) all_0_203_203 = all_0_218_218
% 28.28/7.25 |
% 28.28/7.25 | Simplifying 3014 yields:
% 28.28/7.25 | (1065) all_0_203_203 = all_0_218_218
% 28.28/7.25 |
% 28.28/7.25 | Combining equations (3011,3012) yields a new equation:
% 28.28/7.25 | (3016) all_0_185_185 = e11
% 28.28/7.25 |
% 28.28/7.25 | Combining equations (3003,3004) yields a new equation:
% 28.28/7.25 | (2792) all_0_205_205 = e12
% 28.28/7.25 |
% 28.28/7.25 | Simplifying 2792 yields:
% 28.28/7.25 | (2082) all_0_205_205 = e12
% 28.28/7.25 |
% 28.28/7.25 | Combining equations (3007,1065) yields a new equation:
% 28.28/7.25 | (3019) all_0_218_218 = all_0_251_251
% 28.28/7.25 |
% 28.28/7.25 | From (2082) and (2403) follows:
% 28.28/7.25 | (2404) op1(e13, e12) = e12
% 28.28/7.25 |
% 28.28/7.25 | From (1741) and (2992) follows:
% 28.28/7.25 | (2565) op1(e13, e10) = e11
% 28.28/7.25 |
% 28.28/7.25 | From (3016) and (3002) follows:
% 28.28/7.25 | (21) op1(e10, e12) = e11
% 28.28/7.25 |
% 28.28/7.25 | From (2766) and (2673) follows:
% 28.28/7.25 | (99) op1(e10, e11) = e13
% 28.28/7.25 |
% 28.28/7.25 +-Applying beta-rule and splitting (53), into two cases.
% 28.28/7.25 |-Branch one:
% 28.28/7.25 | (1178) all_0_255_255 = e10
% 28.28/7.25 |
% 28.28/7.25 | Combining equations (1178,2546) yields a new equation:
% 28.28/7.25 | (903) all_0_213_213 = e10
% 28.28/7.25 |
% 28.28/7.25 | Equations (1178) can reduce 481 to:
% 28.28/7.25 | (921) ~ (all_0_251_251 = e10)
% 28.28/7.25 |
% 28.28/7.25 | Equations (1178) can reduce 386 to:
% 28.28/7.25 | (3027) ~ (all_0_257_257 = e10)
% 28.28/7.25 |
% 28.28/7.25 | Simplifying 3027 yields:
% 28.28/7.25 | (3028) ~ (all_0_257_257 = e10)
% 28.28/7.25 |
% 28.28/7.25 | From (1178) and (437) follows:
% 28.28/7.25 | (3029) op1(e10, e12) = all_0_226_226
% 28.28/7.25 |
% 28.28/7.25 | From (1178) and (299) follows:
% 28.28/7.25 | (1261) op1(e10, e11) = all_0_227_227
% 28.28/7.25 |
% 28.28/7.25 +-Applying beta-rule and splitting (372), into two cases.
% 28.28/7.25 |-Branch one:
% 28.28/7.25 | (1011) all_0_251_251 = e10
% 28.28/7.25 |
% 28.28/7.25 | Equations (1011) can reduce 921 to:
% 28.28/7.25 | (537) $false
% 28.28/7.25 |
% 28.28/7.25 |-The branch is then unsatisfiable
% 28.28/7.25 |-Branch two:
% 28.28/7.25 | (921) ~ (all_0_251_251 = e10)
% 28.28/7.25 | (1226) all_0_252_252 = e10 | all_0_253_253 = e10
% 28.28/7.25 |
% 28.28/7.25 +-Applying beta-rule and splitting (180), into two cases.
% 28.28/7.25 |-Branch one:
% 28.28/7.25 | (929) all_0_251_251 = e13
% 28.28/7.25 |
% 28.28/7.25 | Combining equations (929,3019) yields a new equation:
% 28.28/7.25 | (3036) all_0_218_218 = e13
% 28.28/7.25 |
% 28.28/7.25 | Equations (929) can reduce 23 to:
% 28.28/7.25 | (3037) ~ (all_0_253_253 = e13)
% 28.28/7.25 |
% 28.28/7.25 | Simplifying 3037 yields:
% 28.28/7.25 | (1186) ~ (all_0_253_253 = e13)
% 28.28/7.25 |
% 28.28/7.25 | Equations (929) can reduce 1010 to:
% 28.28/7.25 | (305) ~ (e13 = e12)
% 28.28/7.25 |
% 28.28/7.25 +-Applying beta-rule and splitting (865), into two cases.
% 28.28/7.25 |-Branch one:
% 28.28/7.25 | (866) all_0_253_253 = e10
% 28.28/7.25 |
% 28.28/7.25 | Equations (866) can reduce 51 to:
% 28.28/7.25 | (3027) ~ (all_0_257_257 = e10)
% 28.28/7.25 |
% 28.28/7.25 | Simplifying 3027 yields:
% 28.28/7.25 | (3028) ~ (all_0_257_257 = e10)
% 28.28/7.25 |
% 28.28/7.25 | Equations (866) can reduce 1186 to:
% 28.28/7.25 | (872) ~ (e13 = e10)
% 28.28/7.25 |
% 28.28/7.25 | Simplifying 872 yields:
% 28.28/7.25 | (210) ~ (e13 = e10)
% 28.28/7.25 |
% 28.28/7.25 | Equations (866) can reduce 46 to:
% 28.28/7.25 | (874) ~ (e12 = e10)
% 28.28/7.25 |
% 28.28/7.25 | Simplifying 874 yields:
% 28.28/7.25 | (8) ~ (e12 = e10)
% 28.28/7.25 |
% 28.28/7.25 | Equations (866) can reduce 2525 to:
% 28.28/7.25 | (906) ~ (e11 = e10)
% 28.28/7.25 |
% 28.28/7.25 | Simplifying 906 yields:
% 28.28/7.25 | (293) ~ (e11 = e10)
% 28.28/7.25 |
% 28.28/7.25 | From (866) and (366) follows:
% 28.28/7.25 | (3049) op1(e10, e12) = all_0_221_221
% 28.28/7.25 |
% 28.28/7.25 +-Applying beta-rule and splitting (251), into two cases.
% 28.28/7.25 |-Branch one:
% 28.28/7.25 | (795) all_0_254_254 = e13
% 28.28/7.25 |
% 28.28/7.25 | Combining equations (795,798) yields a new equation:
% 28.28/7.25 | (832) e13 = e12
% 28.28/7.25 |
% 28.28/7.25 | Simplifying 832 yields:
% 28.28/7.25 | (833) e13 = e12
% 28.28/7.25 |
% 28.28/7.25 | Equations (833) can reduce 305 to:
% 28.28/7.25 | (537) $false
% 28.28/7.25 |
% 28.28/7.25 |-The branch is then unsatisfiable
% 28.28/7.25 |-Branch two:
% 28.28/7.25 | (782) ~ (all_0_254_254 = e13)
% 28.28/7.25 | (836) all_0_255_255 = e13 | all_0_257_257 = e13
% 28.28/7.25 |
% 28.28/7.25 +-Applying beta-rule and splitting (836), into two cases.
% 28.28/7.25 |-Branch one:
% 28.28/7.25 | (839) all_0_255_255 = e13
% 28.28/7.25 |
% 28.28/7.25 | Combining equations (839,1178) yields a new equation:
% 28.28/7.25 | (983) e13 = e10
% 28.28/7.25 |
% 28.28/7.25 | Simplifying 983 yields:
% 28.28/7.25 | (862) e13 = e10
% 28.28/7.25 |
% 28.28/7.25 | Equations (862) can reduce 210 to:
% 28.28/7.25 | (537) $false
% 28.28/7.25 |
% 28.28/7.25 |-The branch is then unsatisfiable
% 28.28/7.25 |-Branch two:
% 28.28/7.25 | (1189) ~ (all_0_255_255 = e13)
% 28.28/7.25 | (1187) all_0_257_257 = e13
% 28.28/7.25 |
% 28.28/7.25 | Equations (1187) can reduce 384 to:
% 28.28/7.25 | (305) ~ (e13 = e12)
% 28.28/7.25 |
% 28.28/7.25 | Equations (1187) can reduce 747 to:
% 28.28/7.25 | (446) ~ (e13 = e11)
% 28.28/7.25 |
% 28.28/7.25 | Equations (1187) can reduce 3028 to:
% 28.28/7.25 | (210) ~ (e13 = e10)
% 28.28/7.25 |
% 28.28/7.25 | From (1187) and (462) follows:
% 28.28/7.25 | (1213) op1(e13, e10) = all_0_231_231
% 28.28/7.25 |
% 28.28/7.25 | Instantiating formula (144) with e13, e10, all_0_231_231, e11 and discharging atoms op1(e13, e10) = all_0_231_231, op1(e13, e10) = e11, yields:
% 28.28/7.25 | (3066) all_0_231_231 = e11
% 28.28/7.25 |
% 28.28/7.25 | Instantiating formula (144) with e10, e12, all_0_221_221, e11 and discharging atoms op1(e10, e12) = all_0_221_221, op1(e10, e12) = e11, yields:
% 28.28/7.25 | (3067) all_0_221_221 = e11
% 28.28/7.25 |
% 28.28/7.25 | Instantiating formula (144) with e10, e12, all_0_226_226, all_0_221_221 and discharging atoms op1(e10, e12) = all_0_221_221, op1(e10, e12) = all_0_226_226, yields:
% 28.28/7.25 | (3068) all_0_221_221 = all_0_226_226
% 28.28/7.25 |
% 28.28/7.25 | Instantiating formula (144) with e10, e11, all_0_227_227, e13 and discharging atoms op1(e10, e11) = all_0_227_227, op1(e10, e11) = e13, yields:
% 28.28/7.26 | (1329) all_0_227_227 = e13
% 28.28/7.26 |
% 28.28/7.26 | Combining equations (3067,3068) yields a new equation:
% 28.28/7.26 | (3070) all_0_226_226 = e11
% 28.28/7.26 |
% 28.28/7.26 | Combining equations (3070,3068) yields a new equation:
% 28.28/7.26 | (3067) all_0_221_221 = e11
% 28.28/7.26 |
% 28.28/7.26 +-Applying beta-rule and splitting (257), into two cases.
% 28.28/7.26 |-Branch one:
% 28.28/7.26 | (940) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)) | (all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10))
% 28.28/7.26 |
% 28.28/7.26 +-Applying beta-rule and splitting (940), into two cases.
% 28.28/7.26 |-Branch one:
% 28.28/7.26 | (941) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12))
% 28.28/7.26 |
% 28.28/7.26 +-Applying beta-rule and splitting (941), into two cases.
% 28.28/7.26 |-Branch one:
% 28.28/7.26 | (942) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13))
% 28.28/7.26 |
% 28.28/7.26 +-Applying beta-rule and splitting (942), into two cases.
% 28.28/7.26 |-Branch one:
% 28.28/7.26 | (943) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10))
% 28.28/7.26 |
% 28.28/7.26 +-Applying beta-rule and splitting (943), into two cases.
% 28.28/7.26 |-Branch one:
% 28.28/7.26 | (944) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11))
% 28.28/7.26 |
% 28.28/7.26 +-Applying beta-rule and splitting (944), into two cases.
% 28.28/7.26 |-Branch one:
% 28.28/7.26 | (945) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13))
% 28.28/7.26 |
% 28.28/7.26 +-Applying beta-rule and splitting (945), into two cases.
% 28.28/7.26 |-Branch one:
% 28.28/7.26 | (946) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10))
% 28.28/7.26 |
% 28.28/7.26 +-Applying beta-rule and splitting (946), into two cases.
% 28.28/7.26 |-Branch one:
% 28.28/7.26 | (947) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11))
% 28.28/7.26 |
% 28.28/7.26 +-Applying beta-rule and splitting (947), into two cases.
% 28.28/7.26 |-Branch one:
% 28.28/7.26 | (948) all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)
% 28.28/7.26 |
% 28.28/7.26 | Applying alpha-rule on (948) yields:
% 28.28/7.26 | (949) all_0_204_204 = e12
% 28.28/7.26 | (950) ~ (all_0_203_203 = e13)
% 28.28/7.26 | (951) ~ (all_0_205_205 = e12)
% 28.28/7.26 |
% 28.28/7.26 | Combining equations (949,1325) yields a new equation:
% 28.28/7.26 | (771) e12 = e11
% 28.28/7.26 |
% 28.28/7.26 | Simplifying 771 yields:
% 28.28/7.26 | (772) e12 = e11
% 28.28/7.26 |
% 28.28/7.26 | Equations (772) can reduce 113 to:
% 28.28/7.26 | (537) $false
% 28.28/7.26 |
% 28.28/7.26 |-The branch is then unsatisfiable
% 28.28/7.26 |-Branch two:
% 28.28/7.26 | (954) all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)
% 28.28/7.26 |
% 28.28/7.26 | Applying alpha-rule on (954) yields:
% 28.28/7.26 | (955) all_0_207_207 = e11
% 28.28/7.26 | (956) ~ (all_0_206_206 = e13)
% 28.28/7.26 | (957) ~ (all_0_208_208 = e11)
% 28.28/7.26 |
% 28.28/7.26 | Combining equations (1068,955) yields a new equation:
% 28.28/7.26 | (868) e11 = e10
% 28.36/7.26 |
% 28.36/7.26 | Equations (868) can reduce 293 to:
% 28.36/7.26 | (537) $false
% 28.36/7.26 |
% 28.36/7.26 |-The branch is then unsatisfiable
% 28.36/7.26 |-Branch two:
% 28.36/7.26 | (961) all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)
% 28.36/7.26 |
% 28.36/7.26 | Applying alpha-rule on (961) yields:
% 28.36/7.26 | (962) all_0_210_210 = e10
% 28.36/7.26 | (963) ~ (all_0_209_209 = e13)
% 28.36/7.26 | (964) ~ (all_0_211_211 = e10)
% 28.36/7.26 |
% 28.36/7.26 | Combining equations (962,1889) yields a new equation:
% 28.36/7.26 | (952) e12 = e10
% 28.36/7.26 |
% 28.36/7.26 | Equations (952) can reduce 8 to:
% 28.36/7.26 | (537) $false
% 28.36/7.26 |
% 28.36/7.26 |-The branch is then unsatisfiable
% 28.36/7.26 |-Branch two:
% 28.36/7.26 | (968) all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)
% 28.36/7.26 |
% 28.36/7.26 | Applying alpha-rule on (968) yields:
% 28.36/7.26 | (969) all_0_213_213 = e13
% 28.36/7.26 | (970) ~ (all_0_212_212 = e12)
% 28.36/7.26 | (971) ~ (all_0_214_214 = e13)
% 28.36/7.26 |
% 28.36/7.26 | Combining equations (903,969) yields a new equation:
% 28.36/7.26 | (862) e13 = e10
% 28.36/7.26 |
% 28.36/7.26 | Equations (862) can reduce 210 to:
% 28.36/7.26 | (537) $false
% 28.36/7.26 |
% 28.36/7.26 |-The branch is then unsatisfiable
% 28.36/7.26 |-Branch two:
% 28.36/7.26 | (974) all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)
% 28.36/7.26 |
% 28.36/7.26 | Applying alpha-rule on (974) yields:
% 28.36/7.26 | (975) all_0_218_218 = e11
% 28.36/7.26 | (976) ~ (all_0_217_217 = e12)
% 28.36/7.26 | (977) ~ (all_0_219_219 = e11)
% 28.36/7.26 |
% 28.36/7.26 | Combining equations (3036,975) yields a new equation:
% 28.36/7.26 | (958) e13 = e11
% 28.36/7.26 |
% 28.36/7.26 | Simplifying 958 yields:
% 28.36/7.26 | (959) e13 = e11
% 28.36/7.26 |
% 28.36/7.26 | Equations (959) can reduce 446 to:
% 28.36/7.26 | (537) $false
% 28.36/7.26 |
% 28.36/7.26 |-The branch is then unsatisfiable
% 28.36/7.26 |-Branch two:
% 28.36/7.26 | (979) all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)
% 28.36/7.26 |
% 28.36/7.26 | Applying alpha-rule on (979) yields:
% 28.36/7.26 | (980) all_0_221_221 = e10
% 28.36/7.26 | (981) ~ (all_0_220_220 = e12)
% 28.36/7.26 | (982) ~ (all_0_222_222 = e10)
% 28.36/7.26 |
% 28.36/7.26 | Combining equations (980,3067) yields a new equation:
% 28.36/7.26 | (868) e11 = e10
% 28.36/7.26 |
% 28.36/7.26 | Equations (868) can reduce 293 to:
% 28.36/7.26 | (537) $false
% 28.36/7.26 |
% 28.36/7.26 |-The branch is then unsatisfiable
% 28.36/7.26 |-Branch two:
% 28.36/7.26 | (986) all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)
% 28.36/7.26 |
% 28.36/7.26 | Applying alpha-rule on (986) yields:
% 28.36/7.26 | (987) all_0_224_224 = e13
% 28.36/7.26 | (988) ~ (all_0_223_223 = e11)
% 28.36/7.26 | (989) ~ (all_0_225_225 = e13)
% 28.36/7.26 |
% 28.36/7.26 | Combining equations (1057,987) yields a new equation:
% 28.36/7.26 | (833) e13 = e12
% 28.36/7.26 |
% 28.36/7.26 | Equations (833) can reduce 305 to:
% 28.36/7.26 | (537) $false
% 28.36/7.26 |
% 28.36/7.26 |-The branch is then unsatisfiable
% 28.36/7.26 |-Branch two:
% 28.36/7.26 | (992) all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)
% 28.36/7.26 |
% 28.36/7.26 | Applying alpha-rule on (992) yields:
% 28.36/7.26 | (993) all_0_227_227 = e12
% 28.36/7.26 | (994) ~ (all_0_226_226 = e11)
% 28.36/7.26 | (995) ~ (all_0_228_228 = e12)
% 28.36/7.26 |
% 28.36/7.26 | Combining equations (1329,993) yields a new equation:
% 28.36/7.26 | (832) e13 = e12
% 28.36/7.26 |
% 28.36/7.26 | Simplifying 832 yields:
% 28.36/7.26 | (833) e13 = e12
% 28.36/7.26 |
% 28.36/7.26 | Equations (833) can reduce 305 to:
% 28.36/7.26 | (537) $false
% 28.36/7.26 |
% 28.36/7.26 |-The branch is then unsatisfiable
% 28.36/7.26 |-Branch two:
% 28.36/7.26 | (997) all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10)
% 28.36/7.26 |
% 28.36/7.26 | Applying alpha-rule on (997) yields:
% 28.36/7.26 | (998) all_0_232_232 = e10
% 28.36/7.26 | (999) ~ (all_0_231_231 = e11)
% 28.36/7.26 | (1000) ~ (all_0_233_233 = e10)
% 28.36/7.26 |
% 28.36/7.26 | Equations (3066) can reduce 999 to:
% 28.36/7.26 | (537) $false
% 28.36/7.26 |
% 28.36/7.26 |-The branch is then unsatisfiable
% 28.36/7.26 |-Branch two:
% 28.36/7.26 | (1004) all_0_249_249 = e11 & ~ (all_0_248_248 = e10)
% 28.36/7.26 |
% 28.36/7.26 | Applying alpha-rule on (1004) yields:
% 28.36/7.26 | (1005) all_0_249_249 = e11
% 28.36/7.26 | (905) ~ (all_0_248_248 = e10)
% 28.36/7.26 |
% 28.36/7.26 | Equations (910) can reduce 905 to:
% 28.36/7.26 | (537) $false
% 28.36/7.26 |
% 28.36/7.26 |-The branch is then unsatisfiable
% 28.36/7.26 |-Branch two:
% 28.36/7.26 | (870) ~ (all_0_253_253 = e10)
% 28.36/7.26 | (871) all_0_257_257 = e10
% 28.36/7.26 |
% 28.36/7.26 | Equations (871) can reduce 3028 to:
% 28.36/7.26 | (537) $false
% 28.36/7.26 |
% 28.36/7.26 |-The branch is then unsatisfiable
% 28.36/7.26 |-Branch two:
% 28.36/7.26 | (778) ~ (all_0_251_251 = e13)
% 28.36/7.26 | (932) all_0_251_251 = e12 | all_0_251_251 = e10
% 28.36/7.26 |
% 28.36/7.26 +-Applying beta-rule and splitting (932), into two cases.
% 28.36/7.26 |-Branch one:
% 28.36/7.26 | (933) all_0_251_251 = e12
% 28.36/7.26 |
% 28.36/7.26 | Equations (933) can reduce 1010 to:
% 28.36/7.26 | (537) $false
% 28.36/7.26 |
% 28.36/7.26 |-The branch is then unsatisfiable
% 28.36/7.26 |-Branch two:
% 28.36/7.26 | (1010) ~ (all_0_251_251 = e12)
% 28.36/7.26 | (1011) all_0_251_251 = e10
% 28.36/7.26 |
% 28.36/7.26 | Equations (1011) can reduce 921 to:
% 28.36/7.26 | (537) $false
% 28.36/7.26 |
% 28.36/7.26 |-The branch is then unsatisfiable
% 28.36/7.26 |-Branch two:
% 28.36/7.26 | (1498) ~ (all_0_255_255 = e10)
% 28.36/7.26 | (1499) all_0_256_256 = e10 | all_0_257_257 = e10
% 28.36/7.26 |
% 28.36/7.26 +-Applying beta-rule and splitting (237), into two cases.
% 28.36/7.26 |-Branch one:
% 28.36/7.26 | (839) all_0_255_255 = e13
% 28.36/7.26 |
% 28.36/7.26 | From (839) and (437) follows:
% 28.36/7.26 | (3153) op1(e13, e12) = all_0_226_226
% 28.36/7.26 |
% 28.36/7.26 | From (839) and (299) follows:
% 28.36/7.26 | (845) op1(e13, e11) = all_0_227_227
% 28.36/7.26 |
% 28.36/7.26 +-Applying beta-rule and splitting (1499), into two cases.
% 28.36/7.26 |-Branch one:
% 28.36/7.26 | (1021) all_0_256_256 = e10
% 28.36/7.26 |
% 28.36/7.26 | Combining equations (1021,741) yields a new equation:
% 28.36/7.26 | (868) e11 = e10
% 28.36/7.26 |
% 28.36/7.26 | Equations (868) can reduce 293 to:
% 28.36/7.26 | (537) $false
% 28.36/7.26 |
% 28.36/7.26 |-The branch is then unsatisfiable
% 28.36/7.26 |-Branch two:
% 28.36/7.26 | (1521) ~ (all_0_256_256 = e10)
% 28.36/7.26 | (871) all_0_257_257 = e10
% 28.36/7.26 |
% 28.36/7.26 | Equations (871) can reduce 51 to:
% 28.36/7.26 | (870) ~ (all_0_253_253 = e10)
% 28.36/7.26 |
% 28.36/7.26 | Equations (871) can reduce 384 to:
% 28.36/7.26 | (874) ~ (e12 = e10)
% 28.36/7.26 |
% 28.36/7.26 | Simplifying 874 yields:
% 28.36/7.26 | (8) ~ (e12 = e10)
% 28.36/7.26 |
% 28.36/7.26 | From (871) and (148) follows:
% 28.36/7.26 | (876) op1(e10, e11) = all_0_232_232
% 28.36/7.26 |
% 28.36/7.26 +-Applying beta-rule and splitting (372), into two cases.
% 28.36/7.26 |-Branch one:
% 28.36/7.26 | (1011) all_0_251_251 = e10
% 28.36/7.26 |
% 28.36/7.27 | Combining equations (1011,3019) yields a new equation:
% 28.36/7.27 | (1067) all_0_218_218 = e10
% 28.36/7.27 |
% 28.36/7.27 | Equations (1011) can reduce 23 to:
% 28.36/7.27 | (3166) ~ (all_0_253_253 = e10)
% 28.36/7.27 |
% 28.36/7.27 | Simplifying 3166 yields:
% 28.36/7.27 | (870) ~ (all_0_253_253 = e10)
% 28.36/7.27 |
% 28.36/7.27 | Equations (1011) can reduce 1010 to:
% 28.36/7.27 | (874) ~ (e12 = e10)
% 28.36/7.27 |
% 28.36/7.27 | Simplifying 874 yields:
% 28.36/7.27 | (8) ~ (e12 = e10)
% 28.36/7.27 |
% 28.36/7.27 | Equations (1011) can reduce 108 to:
% 28.36/7.27 | (906) ~ (e11 = e10)
% 28.36/7.27 |
% 28.36/7.27 | Simplifying 906 yields:
% 28.36/7.27 | (293) ~ (e11 = e10)
% 28.36/7.27 |
% 28.36/7.27 +-Applying beta-rule and splitting (2526), into two cases.
% 28.36/7.27 |-Branch one:
% 28.36/7.27 | (1183) all_0_253_253 = e13
% 28.36/7.27 |
% 28.36/7.27 | Equations (1183) can reduce 46 to:
% 28.36/7.27 | (305) ~ (e13 = e12)
% 28.36/7.27 |
% 28.36/7.27 | Equations (1183) can reduce 870 to:
% 28.36/7.27 | (210) ~ (e13 = e10)
% 28.36/7.27 |
% 28.36/7.27 | From (1183) and (366) follows:
% 28.36/7.27 | (2727) op1(e13, e12) = all_0_221_221
% 28.36/7.27 |
% 28.36/7.27 | Instantiating formula (144) with e13, e12, all_0_221_221, e12 and discharging atoms op1(e13, e12) = all_0_221_221, op1(e13, e12) = e12, yields:
% 28.36/7.27 | (1472) all_0_221_221 = e12
% 28.36/7.27 |
% 28.36/7.27 | Instantiating formula (144) with e13, e12, all_0_226_226, all_0_221_221 and discharging atoms op1(e13, e12) = all_0_221_221, op1(e13, e12) = all_0_226_226, yields:
% 28.36/7.27 | (3068) all_0_221_221 = all_0_226_226
% 28.36/7.27 |
% 28.36/7.27 | Instantiating formula (144) with e13, e11, all_0_227_227, e10 and discharging atoms op1(e13, e11) = all_0_227_227, op1(e13, e11) = e10, yields:
% 28.36/7.27 | (1036) all_0_227_227 = e10
% 28.36/7.27 |
% 28.36/7.27 | Instantiating formula (144) with e10, e11, all_0_232_232, e13 and discharging atoms op1(e10, e11) = all_0_232_232, op1(e10, e11) = e13, yields:
% 28.36/7.27 | (889) all_0_232_232 = e13
% 28.36/7.27 |
% 28.36/7.27 | Combining equations (1472,3068) yields a new equation:
% 28.36/7.27 | (3180) all_0_226_226 = e12
% 28.36/7.27 |
% 28.36/7.27 | Combining equations (3180,3068) yields a new equation:
% 28.36/7.27 | (1472) all_0_221_221 = e12
% 28.36/7.27 |
% 28.36/7.27 +-Applying beta-rule and splitting (257), into two cases.
% 28.36/7.27 |-Branch one:
% 28.36/7.27 | (940) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)) | (all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10))
% 28.36/7.27 |
% 28.36/7.27 +-Applying beta-rule and splitting (940), into two cases.
% 28.36/7.27 |-Branch one:
% 28.36/7.27 | (941) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12))
% 28.36/7.27 |
% 28.36/7.27 +-Applying beta-rule and splitting (941), into two cases.
% 28.36/7.27 |-Branch one:
% 28.36/7.27 | (942) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13))
% 28.36/7.27 |
% 28.36/7.27 +-Applying beta-rule and splitting (942), into two cases.
% 28.36/7.27 |-Branch one:
% 28.36/7.27 | (943) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10))
% 28.36/7.27 |
% 28.36/7.27 +-Applying beta-rule and splitting (943), into two cases.
% 28.36/7.27 |-Branch one:
% 28.36/7.27 | (944) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11))
% 28.36/7.27 |
% 28.36/7.27 +-Applying beta-rule and splitting (944), into two cases.
% 28.36/7.27 |-Branch one:
% 28.36/7.27 | (945) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13))
% 28.36/7.27 |
% 28.36/7.27 +-Applying beta-rule and splitting (945), into two cases.
% 28.36/7.27 |-Branch one:
% 28.36/7.27 | (946) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10))
% 28.36/7.27 |
% 28.36/7.27 +-Applying beta-rule and splitting (946), into two cases.
% 28.36/7.27 |-Branch one:
% 28.36/7.27 | (947) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11))
% 28.36/7.27 |
% 28.36/7.27 +-Applying beta-rule and splitting (947), into two cases.
% 28.36/7.27 |-Branch one:
% 28.36/7.27 | (948) all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)
% 28.36/7.27 |
% 28.36/7.27 | Applying alpha-rule on (948) yields:
% 28.36/7.27 | (949) all_0_204_204 = e12
% 28.36/7.27 | (950) ~ (all_0_203_203 = e13)
% 28.36/7.27 | (951) ~ (all_0_205_205 = e12)
% 28.36/7.27 |
% 28.36/7.27 | Combining equations (949,1325) yields a new equation:
% 28.36/7.27 | (771) e12 = e11
% 28.36/7.27 |
% 28.36/7.27 | Simplifying 771 yields:
% 28.36/7.27 | (772) e12 = e11
% 28.36/7.27 |
% 28.36/7.27 | Equations (772) can reduce 113 to:
% 28.36/7.27 | (537) $false
% 28.36/7.27 |
% 28.36/7.27 |-The branch is then unsatisfiable
% 28.36/7.27 |-Branch two:
% 28.36/7.27 | (954) all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)
% 28.36/7.27 |
% 28.36/7.27 | Applying alpha-rule on (954) yields:
% 28.36/7.27 | (955) all_0_207_207 = e11
% 28.36/7.27 | (956) ~ (all_0_206_206 = e13)
% 28.36/7.27 | (957) ~ (all_0_208_208 = e11)
% 28.36/7.27 |
% 28.36/7.27 | Combining equations (1068,955) yields a new equation:
% 28.36/7.27 | (868) e11 = e10
% 28.36/7.27 |
% 28.36/7.27 | Equations (868) can reduce 293 to:
% 28.36/7.27 | (537) $false
% 28.36/7.27 |
% 28.36/7.27 |-The branch is then unsatisfiable
% 28.36/7.27 |-Branch two:
% 28.36/7.27 | (961) all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)
% 28.36/7.27 |
% 28.36/7.27 | Applying alpha-rule on (961) yields:
% 28.36/7.27 | (962) all_0_210_210 = e10
% 28.36/7.27 | (963) ~ (all_0_209_209 = e13)
% 28.36/7.27 | (964) ~ (all_0_211_211 = e10)
% 28.36/7.27 |
% 28.36/7.27 | Combining equations (962,1889) yields a new equation:
% 28.36/7.27 | (952) e12 = e10
% 28.36/7.27 |
% 28.36/7.27 | Equations (952) can reduce 8 to:
% 28.36/7.27 | (537) $false
% 28.36/7.27 |
% 28.36/7.27 |-The branch is then unsatisfiable
% 28.36/7.27 |-Branch two:
% 28.36/7.27 | (968) all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)
% 28.36/7.27 |
% 28.36/7.27 | Applying alpha-rule on (968) yields:
% 28.36/7.27 | (969) all_0_213_213 = e13
% 28.36/7.27 | (970) ~ (all_0_212_212 = e12)
% 28.36/7.27 | (971) ~ (all_0_214_214 = e13)
% 28.36/7.27 |
% 28.36/7.27 | Equations (1539) can reduce 970 to:
% 28.36/7.27 | (537) $false
% 28.36/7.27 |
% 28.36/7.27 |-The branch is then unsatisfiable
% 28.36/7.27 |-Branch two:
% 28.36/7.27 | (974) all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)
% 28.36/7.27 |
% 28.36/7.27 | Applying alpha-rule on (974) yields:
% 28.36/7.27 | (975) all_0_218_218 = e11
% 28.36/7.27 | (976) ~ (all_0_217_217 = e12)
% 28.36/7.27 | (977) ~ (all_0_219_219 = e11)
% 28.36/7.27 |
% 28.36/7.27 | Combining equations (1067,975) yields a new equation:
% 28.36/7.27 | (868) e11 = e10
% 28.36/7.27 |
% 28.36/7.27 | Equations (868) can reduce 293 to:
% 28.36/7.27 | (537) $false
% 28.36/7.27 |
% 28.36/7.27 |-The branch is then unsatisfiable
% 28.36/7.27 |-Branch two:
% 28.36/7.27 | (979) all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)
% 28.36/7.27 |
% 28.36/7.27 | Applying alpha-rule on (979) yields:
% 28.36/7.27 | (980) all_0_221_221 = e10
% 28.36/7.27 | (981) ~ (all_0_220_220 = e12)
% 28.36/7.27 | (982) ~ (all_0_222_222 = e10)
% 28.36/7.27 |
% 28.36/7.27 | Combining equations (980,1472) yields a new equation:
% 28.36/7.27 | (952) e12 = e10
% 28.36/7.27 |
% 28.36/7.27 | Equations (952) can reduce 8 to:
% 28.36/7.27 | (537) $false
% 28.36/7.27 |
% 28.36/7.27 |-The branch is then unsatisfiable
% 28.36/7.27 |-Branch two:
% 28.36/7.27 | (986) all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)
% 28.36/7.27 |
% 28.36/7.27 | Applying alpha-rule on (986) yields:
% 28.36/7.27 | (987) all_0_224_224 = e13
% 28.36/7.27 | (988) ~ (all_0_223_223 = e11)
% 28.36/7.27 | (989) ~ (all_0_225_225 = e13)
% 28.36/7.27 |
% 28.36/7.27 | Combining equations (1057,987) yields a new equation:
% 28.36/7.27 | (833) e13 = e12
% 28.36/7.27 |
% 28.36/7.27 | Equations (833) can reduce 305 to:
% 28.36/7.27 | (537) $false
% 28.36/7.27 |
% 28.36/7.27 |-The branch is then unsatisfiable
% 28.36/7.27 |-Branch two:
% 28.36/7.27 | (992) all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)
% 28.36/7.27 |
% 28.36/7.27 | Applying alpha-rule on (992) yields:
% 28.36/7.27 | (993) all_0_227_227 = e12
% 28.36/7.27 | (994) ~ (all_0_226_226 = e11)
% 28.36/7.27 | (995) ~ (all_0_228_228 = e12)
% 28.36/7.27 |
% 28.36/7.27 | Combining equations (1036,993) yields a new equation:
% 28.36/7.27 | (952) e12 = e10
% 28.36/7.27 |
% 28.36/7.27 | Equations (952) can reduce 8 to:
% 28.36/7.27 | (537) $false
% 28.36/7.27 |
% 28.36/7.27 |-The branch is then unsatisfiable
% 28.36/7.27 |-Branch two:
% 28.36/7.27 | (997) all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10)
% 28.36/7.27 |
% 28.36/7.27 | Applying alpha-rule on (997) yields:
% 28.36/7.27 | (998) all_0_232_232 = e10
% 28.36/7.27 | (999) ~ (all_0_231_231 = e11)
% 28.36/7.27 | (1000) ~ (all_0_233_233 = e10)
% 28.36/7.27 |
% 28.36/7.27 | Combining equations (889,998) yields a new equation:
% 28.36/7.27 | (983) e13 = e10
% 28.36/7.27 |
% 28.36/7.27 | Simplifying 983 yields:
% 28.36/7.27 | (862) e13 = e10
% 28.36/7.27 |
% 28.36/7.27 | Equations (862) can reduce 210 to:
% 28.36/7.27 | (537) $false
% 28.36/7.27 |
% 28.36/7.27 |-The branch is then unsatisfiable
% 28.36/7.27 |-Branch two:
% 28.36/7.27 | (1004) all_0_249_249 = e11 & ~ (all_0_248_248 = e10)
% 28.36/7.27 |
% 28.36/7.27 | Applying alpha-rule on (1004) yields:
% 28.36/7.27 | (1005) all_0_249_249 = e11
% 28.36/7.27 | (905) ~ (all_0_248_248 = e10)
% 28.36/7.27 |
% 28.36/7.27 | Equations (910) can reduce 905 to:
% 28.36/7.27 | (537) $false
% 28.36/7.27 |
% 28.36/7.27 |-The branch is then unsatisfiable
% 28.36/7.27 |-Branch two:
% 28.36/7.27 | (1186) ~ (all_0_253_253 = e13)
% 28.36/7.27 | (866) all_0_253_253 = e10
% 28.36/7.27 |
% 28.36/7.27 | Equations (866) can reduce 870 to:
% 28.36/7.27 | (537) $false
% 28.36/7.27 |
% 28.36/7.27 |-The branch is then unsatisfiable
% 28.36/7.27 |-Branch two:
% 28.36/7.27 | (921) ~ (all_0_251_251 = e10)
% 28.36/7.27 | (1226) all_0_252_252 = e10 | all_0_253_253 = e10
% 28.36/7.27 |
% 28.36/7.27 +-Applying beta-rule and splitting (2526), into two cases.
% 28.36/7.27 |-Branch one:
% 28.36/7.27 | (1183) all_0_253_253 = e13
% 28.36/7.27 |
% 28.36/7.27 | Equations (1183) can reduce 870 to:
% 28.36/7.27 | (210) ~ (e13 = e10)
% 28.36/7.27 |
% 28.36/7.27 +-Applying beta-rule and splitting (1226), into two cases.
% 28.36/7.27 |-Branch one:
% 28.36/7.27 | (918) all_0_252_252 = e10
% 28.36/7.27 |
% 28.36/7.27 | Combining equations (918,1056) yields a new equation:
% 28.36/7.27 | (952) e12 = e10
% 28.36/7.27 |
% 28.36/7.28 | Equations (952) can reduce 8 to:
% 28.36/7.28 | (537) $false
% 28.36/7.28 |
% 28.36/7.28 |-The branch is then unsatisfiable
% 28.36/7.28 |-Branch two:
% 28.36/7.28 | (1020) ~ (all_0_252_252 = e10)
% 28.36/7.28 | (866) all_0_253_253 = e10
% 28.36/7.28 |
% 28.36/7.28 | Combining equations (1183,866) yields a new equation:
% 28.36/7.28 | (983) e13 = e10
% 28.36/7.28 |
% 28.36/7.28 | Simplifying 983 yields:
% 28.36/7.28 | (862) e13 = e10
% 28.36/7.28 |
% 28.36/7.28 | Equations (862) can reduce 210 to:
% 28.36/7.28 | (537) $false
% 28.36/7.28 |
% 28.36/7.28 |-The branch is then unsatisfiable
% 28.36/7.28 |-Branch two:
% 28.36/7.28 | (1186) ~ (all_0_253_253 = e13)
% 28.36/7.28 | (866) all_0_253_253 = e10
% 28.36/7.28 |
% 28.36/7.28 | Equations (866) can reduce 870 to:
% 28.36/7.28 | (537) $false
% 28.36/7.28 |
% 28.36/7.28 |-The branch is then unsatisfiable
% 28.36/7.28 |-Branch two:
% 28.36/7.28 | (1189) ~ (all_0_255_255 = e13)
% 28.36/7.28 | (1190) all_0_255_255 = e12 | all_0_255_255 = e10
% 28.36/7.28 |
% 28.36/7.28 +-Applying beta-rule and splitting (1190), into two cases.
% 28.36/7.28 |-Branch one:
% 28.36/7.28 | (1403) all_0_255_255 = e12
% 28.36/7.28 |
% 28.36/7.28 | Equations (1403) can reduce 800 to:
% 28.36/7.28 | (537) $false
% 28.36/7.28 |
% 28.36/7.28 |-The branch is then unsatisfiable
% 28.36/7.28 |-Branch two:
% 28.36/7.28 | (800) ~ (all_0_255_255 = e12)
% 28.36/7.28 | (1178) all_0_255_255 = e10
% 28.36/7.28 |
% 28.36/7.28 | Equations (1178) can reduce 1498 to:
% 28.36/7.28 | (537) $false
% 28.36/7.28 |
% 28.36/7.28 |-The branch is then unsatisfiable
% 28.36/7.28 |-Branch two:
% 28.36/7.28 | (1147) ~ (all_0_252_252 = e12)
% 28.36/7.28 | (918) all_0_252_252 = e10
% 28.36/7.28 |
% 28.36/7.28 | Equations (918) can reduce 1020 to:
% 28.36/7.28 | (537) $false
% 28.36/7.28 |
% 28.36/7.28 |-The branch is then unsatisfiable
% 28.36/7.28 |-Branch two:
% 28.36/7.28 | (905) ~ (all_0_248_248 = e10)
% 28.36/7.28 | (861) all_0_249_249 = e10
% 28.36/7.28 |
% 28.36/7.28 | Combining equations (1005,861) yields a new equation:
% 28.36/7.28 | (867) e11 = e10
% 28.36/7.28 |
% 28.36/7.28 | Simplifying 867 yields:
% 28.36/7.28 | (868) e11 = e10
% 28.36/7.28 |
% 28.36/7.28 | Equations (868) can reduce 293 to:
% 28.36/7.28 | (537) $false
% 28.36/7.28 |
% 28.36/7.28 |-The branch is then unsatisfiable
% 28.36/7.28 |-Branch two:
% 28.36/7.28 | (1150) ~ (all_0_247_247 = e12)
% 28.36/7.28 | (1151) all_0_251_251 = e12 | all_0_255_255 = e12
% 28.36/7.28 |
% 28.36/7.28 +-Applying beta-rule and splitting (286), into two cases.
% 28.36/7.28 |-Branch one:
% 28.36/7.28 | (1191) all_0_247_247 = e13
% 28.36/7.28 |
% 28.36/7.28 | Equations (1191) can reduce 1405 to:
% 28.36/7.28 | (537) $false
% 28.36/7.28 |
% 28.36/7.28 |-The branch is then unsatisfiable
% 28.36/7.28 |-Branch two:
% 28.36/7.28 | (1405) ~ (all_0_247_247 = e13)
% 28.36/7.28 | (1454) all_0_247_247 = e12 | all_0_247_247 = e10
% 28.36/7.28 |
% 28.36/7.28 +-Applying beta-rule and splitting (1454), into two cases.
% 28.36/7.28 |-Branch one:
% 28.36/7.28 | (1051) all_0_247_247 = e12
% 28.36/7.28 |
% 28.36/7.28 | Equations (1051) can reduce 1150 to:
% 28.36/7.28 | (537) $false
% 28.36/7.28 |
% 28.36/7.28 |-The branch is then unsatisfiable
% 28.36/7.28 |-Branch two:
% 28.36/7.28 | (1150) ~ (all_0_247_247 = e12)
% 28.36/7.28 | (902) all_0_247_247 = e10
% 28.36/7.28 |
% 28.36/7.28 | Equations (902) can reduce 271 to:
% 28.36/7.28 | (904) ~ (all_0_248_248 = e10)
% 28.36/7.28 |
% 28.36/7.28 | Simplifying 904 yields:
% 28.36/7.28 | (905) ~ (all_0_248_248 = e10)
% 28.36/7.28 |
% 28.36/7.28 | Equations (902) can reduce 240 to:
% 28.36/7.28 | (3294) ~ (all_0_255_255 = e10)
% 28.36/7.28 |
% 28.36/7.28 | Simplifying 3294 yields:
% 28.36/7.28 | (1498) ~ (all_0_255_255 = e10)
% 28.36/7.28 |
% 28.36/7.28 | Equations (902) can reduce 101 to:
% 28.36/7.28 | (906) ~ (e11 = e10)
% 28.36/7.28 |
% 28.36/7.28 | Simplifying 906 yields:
% 28.36/7.28 | (293) ~ (e11 = e10)
% 28.36/7.28 |
% 28.36/7.28 +-Applying beta-rule and splitting (1151), into two cases.
% 28.36/7.28 |-Branch one:
% 28.36/7.28 | (933) all_0_251_251 = e12
% 28.36/7.28 |
% 28.36/7.28 | Combining equations (933,817) yields a new equation:
% 28.36/7.28 | (3299) all_0_190_190 = e12
% 28.36/7.28 |
% 28.36/7.28 | Equations (933) can reduce 458 to:
% 28.36/7.28 | (1240) ~ (all_0_252_252 = e12)
% 28.36/7.28 |
% 28.36/7.28 | Simplifying 1240 yields:
% 28.36/7.28 | (1147) ~ (all_0_252_252 = e12)
% 28.36/7.28 |
% 28.36/7.28 | Equations (933) can reduce 481 to:
% 28.36/7.28 | (799) ~ (all_0_255_255 = e12)
% 28.36/7.28 |
% 28.36/7.28 | Simplifying 799 yields:
% 28.36/7.28 | (800) ~ (all_0_255_255 = e12)
% 28.36/7.28 |
% 28.36/7.28 | Equations (933) can reduce 108 to:
% 28.36/7.28 | (113) ~ (e12 = e11)
% 28.36/7.28 |
% 28.36/7.28 | From (933) and (238) follows:
% 28.36/7.28 | (3305) op1(e12, e12) = all_0_216_216
% 28.36/7.28 |
% 28.36/7.28 | From (933) and (89) follows:
% 28.36/7.28 | (3306) op1(e12, e12) = e12
% 28.36/7.28 |
% 28.36/7.28 +-Applying beta-rule and splitting (237), into two cases.
% 28.36/7.28 |-Branch one:
% 28.36/7.28 | (839) all_0_255_255 = e13
% 28.36/7.28 |
% 28.36/7.28 | Equations (839) can reduce 386 to:
% 28.36/7.28 | (842) ~ (all_0_257_257 = e13)
% 28.36/7.28 |
% 28.36/7.28 | Simplifying 842 yields:
% 28.36/7.28 | (843) ~ (all_0_257_257 = e13)
% 28.36/7.28 |
% 28.36/7.28 | Equations (839) can reduce 1498 to:
% 28.36/7.28 | (210) ~ (e13 = e10)
% 28.36/7.28 |
% 28.36/7.28 +-Applying beta-rule and splitting (1182), into two cases.
% 28.36/7.28 |-Branch one:
% 28.36/7.28 | (1183) all_0_253_253 = e13
% 28.36/7.28 |
% 28.36/7.28 | Equations (1183) can reduce 25 to:
% 28.36/7.28 | (295) ~ (all_0_252_252 = e13)
% 28.36/7.28 |
% 28.36/7.28 | Equations (1183) can reduce 2525 to:
% 28.36/7.28 | (446) ~ (e13 = e11)
% 28.36/7.28 |
% 28.36/7.28 +-Applying beta-rule and splitting (395), into two cases.
% 28.36/7.28 |-Branch one:
% 28.36/7.28 | (734) all_0_248_248 = e11
% 28.36/7.28 |
% 28.36/7.28 | Equations (734) can reduce 724 to:
% 28.36/7.28 | (537) $false
% 28.36/7.28 |
% 28.36/7.28 |-The branch is then unsatisfiable
% 28.36/7.28 |-Branch two:
% 28.36/7.28 | (724) ~ (all_0_248_248 = e11)
% 28.36/7.28 | (917) all_0_248_248 = e12 | all_0_248_248 = e10
% 28.36/7.28 |
% 28.36/7.28 +-Applying beta-rule and splitting (917), into two cases.
% 28.36/7.28 |-Branch one:
% 28.36/7.28 | (927) all_0_248_248 = e12
% 28.36/7.28 |
% 28.36/7.28 | Equations (927) can reduce 153 to:
% 28.36/7.28 | (1240) ~ (all_0_252_252 = e12)
% 28.36/7.28 |
% 28.36/7.28 | Simplifying 1240 yields:
% 28.36/7.28 | (1147) ~ (all_0_252_252 = e12)
% 28.36/7.28 |
% 28.36/7.28 | From (927) and (50) follows:
% 28.36/7.28 | (1439) op1(e12, e12) = all_0_171_171
% 28.36/7.28 |
% 28.36/7.28 +-Applying beta-rule and splitting (53), into two cases.
% 28.36/7.28 |-Branch one:
% 28.36/7.28 | (1178) all_0_255_255 = e10
% 28.36/7.28 |
% 28.36/7.28 | Combining equations (839,1178) yields a new equation:
% 28.36/7.28 | (983) e13 = e10
% 28.36/7.28 |
% 28.36/7.28 | Simplifying 983 yields:
% 28.36/7.28 | (862) e13 = e10
% 28.36/7.28 |
% 28.36/7.28 | Equations (862) can reduce 210 to:
% 28.36/7.28 | (537) $false
% 28.36/7.28 |
% 28.36/7.28 |-The branch is then unsatisfiable
% 28.36/7.28 |-Branch two:
% 28.36/7.28 | (1498) ~ (all_0_255_255 = e10)
% 28.36/7.28 | (1499) all_0_256_256 = e10 | all_0_257_257 = e10
% 28.36/7.28 |
% 28.36/7.28 | Equations (839) can reduce 1498 to:
% 28.36/7.28 | (210) ~ (e13 = e10)
% 28.36/7.28 |
% 28.36/7.28 +-Applying beta-rule and splitting (865), into two cases.
% 28.36/7.28 |-Branch one:
% 28.36/7.28 | (866) all_0_253_253 = e10
% 28.36/7.28 |
% 28.36/7.28 | Combining equations (866,1183) yields a new equation:
% 28.36/7.28 | (862) e13 = e10
% 28.36/7.28 |
% 28.36/7.28 | Equations (862) can reduce 210 to:
% 28.36/7.28 | (537) $false
% 28.36/7.28 |
% 28.36/7.28 |-The branch is then unsatisfiable
% 28.36/7.28 |-Branch two:
% 28.36/7.28 | (870) ~ (all_0_253_253 = e10)
% 28.36/7.28 | (871) all_0_257_257 = e10
% 28.36/7.28 |
% 28.36/7.28 +-Applying beta-rule and splitting (769), into two cases.
% 28.36/7.28 |-Branch one:
% 28.36/7.28 | (1056) all_0_252_252 = e12
% 28.36/7.28 |
% 28.36/7.28 | Equations (1056) can reduce 1147 to:
% 28.36/7.28 | (537) $false
% 28.36/7.28 |
% 28.36/7.28 |-The branch is then unsatisfiable
% 28.36/7.28 |-Branch two:
% 28.36/7.28 | (1147) ~ (all_0_252_252 = e12)
% 28.36/7.28 | (918) all_0_252_252 = e10
% 28.36/7.28 |
% 28.36/7.28 | Equations (918) can reduce 295 to:
% 28.36/7.28 | (872) ~ (e13 = e10)
% 28.36/7.28 |
% 28.36/7.28 | Simplifying 872 yields:
% 28.36/7.28 | (210) ~ (e13 = e10)
% 28.36/7.28 |
% 28.36/7.28 | Equations (918) can reduce 697 to:
% 28.36/7.28 | (906) ~ (e11 = e10)
% 28.36/7.28 |
% 28.36/7.28 | Simplifying 906 yields:
% 28.36/7.28 | (293) ~ (e11 = e10)
% 28.36/7.28 |
% 28.36/7.28 | Instantiating formula (144) with e12, e12, all_0_216_216, all_0_171_171 and discharging atoms op1(e12, e12) = all_0_171_171, op1(e12, e12) = all_0_216_216, yields:
% 28.36/7.28 | (3342) all_0_171_171 = all_0_216_216
% 28.36/7.28 |
% 28.36/7.28 | Instantiating formula (144) with e12, e12, e12, all_0_171_171 and discharging atoms op1(e12, e12) = all_0_171_171, op1(e12, e12) = e12, yields:
% 28.36/7.28 | (3343) all_0_171_171 = e12
% 28.36/7.28 |
% 28.36/7.28 | Combining equations (3342,3343) yields a new equation:
% 28.36/7.28 | (3344) all_0_216_216 = e12
% 28.36/7.28 |
% 28.36/7.28 | Simplifying 3344 yields:
% 28.36/7.28 | (1581) all_0_216_216 = e12
% 28.36/7.28 |
% 28.36/7.28 +-Applying beta-rule and splitting (288), into two cases.
% 28.36/7.28 |-Branch one:
% 28.36/7.28 | (3346) (all_0_247_247 = all_0_250_250 & ~ (all_0_168_168 = e12) & ~ (all_0_169_169 = e11) & ~ (all_0_170_170 = e10) & ~ (all_0_205_205 = e13)) | (all_0_247_247 = all_0_250_250 & ~ (all_0_177_177 = e13) & ~ (all_0_178_178 = e11) & ~ (all_0_179_179 = e10) & ~ (all_0_214_214 = e12)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_171_171 = e12) & ~ (all_0_172_172 = e11) & ~ (all_0_173_173 = e10) & ~ (all_0_208_208 = e13)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_189_189 = e13) & ~ (all_0_190_190 = e12) & ~ (all_0_191_191 = e10) & ~ (all_0_225_225 = e11)) | (all_0_249_249 = e10 & ~ (all_0_174_174 = e12) & ~ (all_0_175_175 = e11) & ~ (all_0_176_176 = e10) & ~ (all_0_211_211 = e13)) | (all_0_249_249 = e10 & ~ (all_0_257_257 = e11)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_183_183 = e13) & ~ (all_0_184_184 = e11) & ~ (all_0_185_185 = e10) & ~ (all_0_219_219 = e12)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_192_192 = e13) & ~ (all_0_193_193 = e12) & ~ (all_0_194_194 = e10) & ~ (all_0_228_228 = e11)) | (all_0_253_253 = e11 & ~ (all_0_186_186 = e13) & ~ (all_0_187_187 = e11) & ~ (all_0_188_188 = e10) & ~ (all_0_222_222 = e12)) | (all_0_253_253 = e11 & ~ (all_0_252_252 = e12) & ~ (all_0_256_256 = e11)) | (all_0_257_257 = e13 & ~ (all_0_198_198 = e13) & ~ (all_0_199_199 = e12) & ~ (all_0_200_200 = e10) & ~ (all_0_233_233 = e11)) | ( ~ (all_0_165_165 = e12) & ~ (all_0_166_166 = e11) & ~ (all_0_167_167 = e10) & ~ (all_0_202_202 = e13)) | ( ~ (all_0_180_180 = e13) & ~ (all_0_181_181 = e11) & ~ (all_0_182_182 = e10) & ~ (all_0_216_216 = e12)) | ( ~ (all_0_195_195 = e13) & ~ (all_0_196_196 = e12) & ~ (all_0_197_197 = e10) & ~ (all_0_230_230 = e11))
% 28.36/7.28 |
% 28.36/7.28 +-Applying beta-rule and splitting (3346), into two cases.
% 28.36/7.28 |-Branch one:
% 28.36/7.28 | (3347) (all_0_247_247 = all_0_250_250 & ~ (all_0_168_168 = e12) & ~ (all_0_169_169 = e11) & ~ (all_0_170_170 = e10) & ~ (all_0_205_205 = e13)) | (all_0_247_247 = all_0_250_250 & ~ (all_0_177_177 = e13) & ~ (all_0_178_178 = e11) & ~ (all_0_179_179 = e10) & ~ (all_0_214_214 = e12)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_171_171 = e12) & ~ (all_0_172_172 = e11) & ~ (all_0_173_173 = e10) & ~ (all_0_208_208 = e13)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_189_189 = e13) & ~ (all_0_190_190 = e12) & ~ (all_0_191_191 = e10) & ~ (all_0_225_225 = e11)) | (all_0_249_249 = e10 & ~ (all_0_174_174 = e12) & ~ (all_0_175_175 = e11) & ~ (all_0_176_176 = e10) & ~ (all_0_211_211 = e13)) | (all_0_249_249 = e10 & ~ (all_0_257_257 = e11)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_183_183 = e13) & ~ (all_0_184_184 = e11) & ~ (all_0_185_185 = e10) & ~ (all_0_219_219 = e12)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_192_192 = e13) & ~ (all_0_193_193 = e12) & ~ (all_0_194_194 = e10) & ~ (all_0_228_228 = e11)) | (all_0_253_253 = e11 & ~ (all_0_186_186 = e13) & ~ (all_0_187_187 = e11) & ~ (all_0_188_188 = e10) & ~ (all_0_222_222 = e12)) | (all_0_253_253 = e11 & ~ (all_0_252_252 = e12) & ~ (all_0_256_256 = e11)) | (all_0_257_257 = e13 & ~ (all_0_198_198 = e13) & ~ (all_0_199_199 = e12) & ~ (all_0_200_200 = e10) & ~ (all_0_233_233 = e11)) | ( ~ (all_0_165_165 = e12) & ~ (all_0_166_166 = e11) & ~ (all_0_167_167 = e10) & ~ (all_0_202_202 = e13)) | ( ~ (all_0_180_180 = e13) & ~ (all_0_181_181 = e11) & ~ (all_0_182_182 = e10) & ~ (all_0_216_216 = e12))
% 28.36/7.28 |
% 28.36/7.28 +-Applying beta-rule and splitting (3347), into two cases.
% 28.36/7.28 |-Branch one:
% 28.36/7.28 | (3348) (all_0_247_247 = all_0_250_250 & ~ (all_0_168_168 = e12) & ~ (all_0_169_169 = e11) & ~ (all_0_170_170 = e10) & ~ (all_0_205_205 = e13)) | (all_0_247_247 = all_0_250_250 & ~ (all_0_177_177 = e13) & ~ (all_0_178_178 = e11) & ~ (all_0_179_179 = e10) & ~ (all_0_214_214 = e12)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_171_171 = e12) & ~ (all_0_172_172 = e11) & ~ (all_0_173_173 = e10) & ~ (all_0_208_208 = e13)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_189_189 = e13) & ~ (all_0_190_190 = e12) & ~ (all_0_191_191 = e10) & ~ (all_0_225_225 = e11)) | (all_0_249_249 = e10 & ~ (all_0_174_174 = e12) & ~ (all_0_175_175 = e11) & ~ (all_0_176_176 = e10) & ~ (all_0_211_211 = e13)) | (all_0_249_249 = e10 & ~ (all_0_257_257 = e11)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_183_183 = e13) & ~ (all_0_184_184 = e11) & ~ (all_0_185_185 = e10) & ~ (all_0_219_219 = e12)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_192_192 = e13) & ~ (all_0_193_193 = e12) & ~ (all_0_194_194 = e10) & ~ (all_0_228_228 = e11)) | (all_0_253_253 = e11 & ~ (all_0_186_186 = e13) & ~ (all_0_187_187 = e11) & ~ (all_0_188_188 = e10) & ~ (all_0_222_222 = e12)) | (all_0_253_253 = e11 & ~ (all_0_252_252 = e12) & ~ (all_0_256_256 = e11)) | (all_0_257_257 = e13 & ~ (all_0_198_198 = e13) & ~ (all_0_199_199 = e12) & ~ (all_0_200_200 = e10) & ~ (all_0_233_233 = e11)) | ( ~ (all_0_165_165 = e12) & ~ (all_0_166_166 = e11) & ~ (all_0_167_167 = e10) & ~ (all_0_202_202 = e13))
% 28.36/7.29 |
% 28.36/7.29 +-Applying beta-rule and splitting (3348), into two cases.
% 28.36/7.29 |-Branch one:
% 28.36/7.29 | (3349) (all_0_247_247 = all_0_250_250 & ~ (all_0_168_168 = e12) & ~ (all_0_169_169 = e11) & ~ (all_0_170_170 = e10) & ~ (all_0_205_205 = e13)) | (all_0_247_247 = all_0_250_250 & ~ (all_0_177_177 = e13) & ~ (all_0_178_178 = e11) & ~ (all_0_179_179 = e10) & ~ (all_0_214_214 = e12)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_171_171 = e12) & ~ (all_0_172_172 = e11) & ~ (all_0_173_173 = e10) & ~ (all_0_208_208 = e13)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_189_189 = e13) & ~ (all_0_190_190 = e12) & ~ (all_0_191_191 = e10) & ~ (all_0_225_225 = e11)) | (all_0_249_249 = e10 & ~ (all_0_174_174 = e12) & ~ (all_0_175_175 = e11) & ~ (all_0_176_176 = e10) & ~ (all_0_211_211 = e13)) | (all_0_249_249 = e10 & ~ (all_0_257_257 = e11)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_183_183 = e13) & ~ (all_0_184_184 = e11) & ~ (all_0_185_185 = e10) & ~ (all_0_219_219 = e12)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_192_192 = e13) & ~ (all_0_193_193 = e12) & ~ (all_0_194_194 = e10) & ~ (all_0_228_228 = e11)) | (all_0_253_253 = e11 & ~ (all_0_186_186 = e13) & ~ (all_0_187_187 = e11) & ~ (all_0_188_188 = e10) & ~ (all_0_222_222 = e12)) | (all_0_253_253 = e11 & ~ (all_0_252_252 = e12) & ~ (all_0_256_256 = e11)) | (all_0_257_257 = e13 & ~ (all_0_198_198 = e13) & ~ (all_0_199_199 = e12) & ~ (all_0_200_200 = e10) & ~ (all_0_233_233 = e11))
% 28.36/7.29 |
% 28.36/7.29 +-Applying beta-rule and splitting (3349), into two cases.
% 28.36/7.29 |-Branch one:
% 28.36/7.29 | (3350) (all_0_247_247 = all_0_250_250 & ~ (all_0_168_168 = e12) & ~ (all_0_169_169 = e11) & ~ (all_0_170_170 = e10) & ~ (all_0_205_205 = e13)) | (all_0_247_247 = all_0_250_250 & ~ (all_0_177_177 = e13) & ~ (all_0_178_178 = e11) & ~ (all_0_179_179 = e10) & ~ (all_0_214_214 = e12)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_171_171 = e12) & ~ (all_0_172_172 = e11) & ~ (all_0_173_173 = e10) & ~ (all_0_208_208 = e13)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_189_189 = e13) & ~ (all_0_190_190 = e12) & ~ (all_0_191_191 = e10) & ~ (all_0_225_225 = e11)) | (all_0_249_249 = e10 & ~ (all_0_174_174 = e12) & ~ (all_0_175_175 = e11) & ~ (all_0_176_176 = e10) & ~ (all_0_211_211 = e13)) | (all_0_249_249 = e10 & ~ (all_0_257_257 = e11)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_183_183 = e13) & ~ (all_0_184_184 = e11) & ~ (all_0_185_185 = e10) & ~ (all_0_219_219 = e12)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_192_192 = e13) & ~ (all_0_193_193 = e12) & ~ (all_0_194_194 = e10) & ~ (all_0_228_228 = e11)) | (all_0_253_253 = e11 & ~ (all_0_186_186 = e13) & ~ (all_0_187_187 = e11) & ~ (all_0_188_188 = e10) & ~ (all_0_222_222 = e12)) | (all_0_253_253 = e11 & ~ (all_0_252_252 = e12) & ~ (all_0_256_256 = e11))
% 28.36/7.29 |
% 28.36/7.29 +-Applying beta-rule and splitting (3350), into two cases.
% 28.36/7.29 |-Branch one:
% 28.36/7.29 | (3351) (all_0_247_247 = all_0_250_250 & ~ (all_0_168_168 = e12) & ~ (all_0_169_169 = e11) & ~ (all_0_170_170 = e10) & ~ (all_0_205_205 = e13)) | (all_0_247_247 = all_0_250_250 & ~ (all_0_177_177 = e13) & ~ (all_0_178_178 = e11) & ~ (all_0_179_179 = e10) & ~ (all_0_214_214 = e12)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_171_171 = e12) & ~ (all_0_172_172 = e11) & ~ (all_0_173_173 = e10) & ~ (all_0_208_208 = e13)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_189_189 = e13) & ~ (all_0_190_190 = e12) & ~ (all_0_191_191 = e10) & ~ (all_0_225_225 = e11)) | (all_0_249_249 = e10 & ~ (all_0_174_174 = e12) & ~ (all_0_175_175 = e11) & ~ (all_0_176_176 = e10) & ~ (all_0_211_211 = e13)) | (all_0_249_249 = e10 & ~ (all_0_257_257 = e11)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_183_183 = e13) & ~ (all_0_184_184 = e11) & ~ (all_0_185_185 = e10) & ~ (all_0_219_219 = e12)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_192_192 = e13) & ~ (all_0_193_193 = e12) & ~ (all_0_194_194 = e10) & ~ (all_0_228_228 = e11)) | (all_0_253_253 = e11 & ~ (all_0_186_186 = e13) & ~ (all_0_187_187 = e11) & ~ (all_0_188_188 = e10) & ~ (all_0_222_222 = e12))
% 28.36/7.29 |
% 28.36/7.29 +-Applying beta-rule and splitting (3351), into two cases.
% 28.36/7.29 |-Branch one:
% 28.36/7.29 | (3352) (all_0_247_247 = all_0_250_250 & ~ (all_0_168_168 = e12) & ~ (all_0_169_169 = e11) & ~ (all_0_170_170 = e10) & ~ (all_0_205_205 = e13)) | (all_0_247_247 = all_0_250_250 & ~ (all_0_177_177 = e13) & ~ (all_0_178_178 = e11) & ~ (all_0_179_179 = e10) & ~ (all_0_214_214 = e12)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_171_171 = e12) & ~ (all_0_172_172 = e11) & ~ (all_0_173_173 = e10) & ~ (all_0_208_208 = e13)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_189_189 = e13) & ~ (all_0_190_190 = e12) & ~ (all_0_191_191 = e10) & ~ (all_0_225_225 = e11)) | (all_0_249_249 = e10 & ~ (all_0_174_174 = e12) & ~ (all_0_175_175 = e11) & ~ (all_0_176_176 = e10) & ~ (all_0_211_211 = e13)) | (all_0_249_249 = e10 & ~ (all_0_257_257 = e11)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_183_183 = e13) & ~ (all_0_184_184 = e11) & ~ (all_0_185_185 = e10) & ~ (all_0_219_219 = e12)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_192_192 = e13) & ~ (all_0_193_193 = e12) & ~ (all_0_194_194 = e10) & ~ (all_0_228_228 = e11))
% 28.36/7.29 |
% 28.36/7.29 +-Applying beta-rule and splitting (3352), into two cases.
% 28.36/7.29 |-Branch one:
% 28.36/7.29 | (3353) (all_0_247_247 = all_0_250_250 & ~ (all_0_168_168 = e12) & ~ (all_0_169_169 = e11) & ~ (all_0_170_170 = e10) & ~ (all_0_205_205 = e13)) | (all_0_247_247 = all_0_250_250 & ~ (all_0_177_177 = e13) & ~ (all_0_178_178 = e11) & ~ (all_0_179_179 = e10) & ~ (all_0_214_214 = e12)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_171_171 = e12) & ~ (all_0_172_172 = e11) & ~ (all_0_173_173 = e10) & ~ (all_0_208_208 = e13)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_189_189 = e13) & ~ (all_0_190_190 = e12) & ~ (all_0_191_191 = e10) & ~ (all_0_225_225 = e11)) | (all_0_249_249 = e10 & ~ (all_0_174_174 = e12) & ~ (all_0_175_175 = e11) & ~ (all_0_176_176 = e10) & ~ (all_0_211_211 = e13)) | (all_0_249_249 = e10 & ~ (all_0_257_257 = e11)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_183_183 = e13) & ~ (all_0_184_184 = e11) & ~ (all_0_185_185 = e10) & ~ (all_0_219_219 = e12))
% 28.36/7.29 |
% 28.36/7.29 +-Applying beta-rule and splitting (3353), into two cases.
% 28.36/7.29 |-Branch one:
% 28.36/7.29 | (3354) (all_0_247_247 = all_0_250_250 & ~ (all_0_168_168 = e12) & ~ (all_0_169_169 = e11) & ~ (all_0_170_170 = e10) & ~ (all_0_205_205 = e13)) | (all_0_247_247 = all_0_250_250 & ~ (all_0_177_177 = e13) & ~ (all_0_178_178 = e11) & ~ (all_0_179_179 = e10) & ~ (all_0_214_214 = e12)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_171_171 = e12) & ~ (all_0_172_172 = e11) & ~ (all_0_173_173 = e10) & ~ (all_0_208_208 = e13)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_189_189 = e13) & ~ (all_0_190_190 = e12) & ~ (all_0_191_191 = e10) & ~ (all_0_225_225 = e11)) | (all_0_249_249 = e10 & ~ (all_0_174_174 = e12) & ~ (all_0_175_175 = e11) & ~ (all_0_176_176 = e10) & ~ (all_0_211_211 = e13)) | (all_0_249_249 = e10 & ~ (all_0_257_257 = e11))
% 28.36/7.29 |
% 28.36/7.29 +-Applying beta-rule and splitting (3354), into two cases.
% 28.36/7.29 |-Branch one:
% 28.36/7.29 | (3355) (all_0_247_247 = all_0_250_250 & ~ (all_0_168_168 = e12) & ~ (all_0_169_169 = e11) & ~ (all_0_170_170 = e10) & ~ (all_0_205_205 = e13)) | (all_0_247_247 = all_0_250_250 & ~ (all_0_177_177 = e13) & ~ (all_0_178_178 = e11) & ~ (all_0_179_179 = e10) & ~ (all_0_214_214 = e12)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_171_171 = e12) & ~ (all_0_172_172 = e11) & ~ (all_0_173_173 = e10) & ~ (all_0_208_208 = e13)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_189_189 = e13) & ~ (all_0_190_190 = e12) & ~ (all_0_191_191 = e10) & ~ (all_0_225_225 = e11)) | (all_0_249_249 = e10 & ~ (all_0_174_174 = e12) & ~ (all_0_175_175 = e11) & ~ (all_0_176_176 = e10) & ~ (all_0_211_211 = e13))
% 28.36/7.29 |
% 28.36/7.29 +-Applying beta-rule and splitting (3355), into two cases.
% 28.36/7.29 |-Branch one:
% 28.36/7.29 | (3356) (all_0_247_247 = all_0_250_250 & ~ (all_0_168_168 = e12) & ~ (all_0_169_169 = e11) & ~ (all_0_170_170 = e10) & ~ (all_0_205_205 = e13)) | (all_0_247_247 = all_0_250_250 & ~ (all_0_177_177 = e13) & ~ (all_0_178_178 = e11) & ~ (all_0_179_179 = e10) & ~ (all_0_214_214 = e12)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_171_171 = e12) & ~ (all_0_172_172 = e11) & ~ (all_0_173_173 = e10) & ~ (all_0_208_208 = e13)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_189_189 = e13) & ~ (all_0_190_190 = e12) & ~ (all_0_191_191 = e10) & ~ (all_0_225_225 = e11))
% 28.36/7.29 |
% 28.36/7.29 +-Applying beta-rule and splitting (3356), into two cases.
% 28.36/7.29 |-Branch one:
% 28.36/7.29 | (3357) (all_0_247_247 = all_0_250_250 & ~ (all_0_168_168 = e12) & ~ (all_0_169_169 = e11) & ~ (all_0_170_170 = e10) & ~ (all_0_205_205 = e13)) | (all_0_247_247 = all_0_250_250 & ~ (all_0_177_177 = e13) & ~ (all_0_178_178 = e11) & ~ (all_0_179_179 = e10) & ~ (all_0_214_214 = e12)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_171_171 = e12) & ~ (all_0_172_172 = e11) & ~ (all_0_173_173 = e10) & ~ (all_0_208_208 = e13))
% 28.36/7.29 |
% 28.36/7.29 +-Applying beta-rule and splitting (3357), into two cases.
% 28.36/7.29 |-Branch one:
% 28.36/7.29 | (3358) (all_0_247_247 = all_0_250_250 & ~ (all_0_168_168 = e12) & ~ (all_0_169_169 = e11) & ~ (all_0_170_170 = e10) & ~ (all_0_205_205 = e13)) | (all_0_247_247 = all_0_250_250 & ~ (all_0_177_177 = e13) & ~ (all_0_178_178 = e11) & ~ (all_0_179_179 = e10) & ~ (all_0_214_214 = e12))
% 28.36/7.29 |
% 28.36/7.29 +-Applying beta-rule and splitting (3358), into two cases.
% 28.36/7.29 |-Branch one:
% 28.36/7.29 | (3359) all_0_247_247 = all_0_250_250 & ~ (all_0_168_168 = e12) & ~ (all_0_169_169 = e11) & ~ (all_0_170_170 = e10) & ~ (all_0_205_205 = e13)
% 28.36/7.29 |
% 28.36/7.29 | Applying alpha-rule on (3359) yields:
% 28.36/7.29 | (3360) ~ (all_0_205_205 = e13)
% 28.36/7.29 | (3361) ~ (all_0_168_168 = e12)
% 28.36/7.29 | (3362) ~ (all_0_170_170 = e10)
% 28.36/7.29 | (3363) all_0_247_247 = all_0_250_250
% 28.36/7.29 | (3364) ~ (all_0_169_169 = e11)
% 28.36/7.29 |
% 28.36/7.29 | Combining equations (902,3363) yields a new equation:
% 28.36/7.29 | (3365) all_0_250_250 = e10
% 28.36/7.29 |
% 28.36/7.29 | Combining equations (716,3365) yields a new equation:
% 28.36/7.29 | (867) e11 = e10
% 28.36/7.29 |
% 28.36/7.29 | Simplifying 867 yields:
% 28.36/7.29 | (868) e11 = e10
% 28.36/7.29 |
% 28.36/7.29 | Equations (868) can reduce 293 to:
% 28.36/7.29 | (537) $false
% 28.36/7.29 |
% 28.36/7.29 |-The branch is then unsatisfiable
% 28.36/7.29 |-Branch two:
% 28.36/7.29 | (3369) all_0_247_247 = all_0_250_250 & ~ (all_0_177_177 = e13) & ~ (all_0_178_178 = e11) & ~ (all_0_179_179 = e10) & ~ (all_0_214_214 = e12)
% 28.36/7.29 |
% 28.36/7.29 | Applying alpha-rule on (3369) yields:
% 28.36/7.29 | (3370) ~ (all_0_179_179 = e10)
% 28.36/7.29 | (3371) ~ (all_0_214_214 = e12)
% 28.36/7.29 | (3372) ~ (all_0_177_177 = e13)
% 28.36/7.29 | (3373) ~ (all_0_178_178 = e11)
% 28.36/7.29 | (3363) all_0_247_247 = all_0_250_250
% 28.36/7.29 |
% 28.36/7.29 | Combining equations (902,3363) yields a new equation:
% 28.36/7.29 | (3365) all_0_250_250 = e10
% 28.36/7.29 |
% 28.36/7.29 | Combining equations (716,3365) yields a new equation:
% 28.36/7.29 | (867) e11 = e10
% 28.36/7.29 |
% 28.36/7.29 | Simplifying 867 yields:
% 28.36/7.29 | (868) e11 = e10
% 28.36/7.29 |
% 28.36/7.29 | Equations (868) can reduce 293 to:
% 28.36/7.29 | (537) $false
% 28.36/7.29 |
% 28.36/7.29 |-The branch is then unsatisfiable
% 28.36/7.30 |-Branch two:
% 28.36/7.30 | (3379) all_0_248_248 = all_0_254_254 & ~ (all_0_171_171 = e12) & ~ (all_0_172_172 = e11) & ~ (all_0_173_173 = e10) & ~ (all_0_208_208 = e13)
% 28.36/7.30 |
% 28.36/7.30 | Applying alpha-rule on (3379) yields:
% 28.36/7.30 | (3380) ~ (all_0_172_172 = e11)
% 28.36/7.30 | (3381) all_0_248_248 = all_0_254_254
% 28.36/7.30 | (3382) ~ (all_0_208_208 = e13)
% 28.36/7.30 | (3383) ~ (all_0_171_171 = e12)
% 28.36/7.30 | (3384) ~ (all_0_173_173 = e10)
% 28.36/7.30 |
% 28.36/7.30 | Equations (3343) can reduce 3383 to:
% 28.36/7.30 | (537) $false
% 28.36/7.30 |
% 28.36/7.30 |-The branch is then unsatisfiable
% 28.36/7.30 |-Branch two:
% 28.36/7.30 | (3386) all_0_248_248 = all_0_254_254 & ~ (all_0_189_189 = e13) & ~ (all_0_190_190 = e12) & ~ (all_0_191_191 = e10) & ~ (all_0_225_225 = e11)
% 28.36/7.30 |
% 28.36/7.30 | Applying alpha-rule on (3386) yields:
% 28.36/7.30 | (3387) ~ (all_0_225_225 = e11)
% 28.36/7.30 | (3381) all_0_248_248 = all_0_254_254
% 28.36/7.30 | (3389) ~ (all_0_189_189 = e13)
% 28.36/7.30 | (3390) ~ (all_0_191_191 = e10)
% 28.36/7.30 | (3391) ~ (all_0_190_190 = e12)
% 28.36/7.30 |
% 28.36/7.30 | Equations (3299) can reduce 3391 to:
% 28.36/7.30 | (537) $false
% 28.36/7.30 |
% 28.36/7.30 |-The branch is then unsatisfiable
% 28.36/7.30 |-Branch two:
% 28.36/7.30 | (3393) all_0_249_249 = e10 & ~ (all_0_174_174 = e12) & ~ (all_0_175_175 = e11) & ~ (all_0_176_176 = e10) & ~ (all_0_211_211 = e13)
% 28.36/7.30 |
% 28.36/7.30 | Applying alpha-rule on (3393) yields:
% 28.36/7.30 | (3394) ~ (all_0_174_174 = e12)
% 28.36/7.30 | (861) all_0_249_249 = e10
% 28.36/7.30 | (3396) ~ (all_0_176_176 = e10)
% 28.36/7.30 | (3397) ~ (all_0_211_211 = e13)
% 28.36/7.30 | (3398) ~ (all_0_175_175 = e11)
% 28.36/7.30 |
% 28.36/7.30 | Combining equations (861,1005) yields a new equation:
% 28.36/7.30 | (868) e11 = e10
% 28.36/7.30 |
% 28.36/7.30 | Equations (868) can reduce 293 to:
% 28.36/7.30 | (537) $false
% 28.36/7.30 |
% 28.36/7.30 |-The branch is then unsatisfiable
% 28.36/7.30 |-Branch two:
% 28.36/7.30 | (3401) all_0_249_249 = e10 & ~ (all_0_257_257 = e11)
% 28.36/7.30 |
% 28.36/7.30 | Applying alpha-rule on (3401) yields:
% 28.36/7.30 | (861) all_0_249_249 = e10
% 28.36/7.30 | (747) ~ (all_0_257_257 = e11)
% 28.36/7.30 |
% 28.36/7.30 | Combining equations (861,1005) yields a new equation:
% 28.36/7.30 | (868) e11 = e10
% 28.36/7.30 |
% 28.36/7.30 | Equations (868) can reduce 293 to:
% 28.36/7.30 | (537) $false
% 28.36/7.30 |
% 28.36/7.30 |-The branch is then unsatisfiable
% 28.36/7.30 |-Branch two:
% 28.36/7.30 | (3406) all_0_252_252 = all_0_255_255 & ~ (all_0_183_183 = e13) & ~ (all_0_184_184 = e11) & ~ (all_0_185_185 = e10) & ~ (all_0_219_219 = e12)
% 28.36/7.30 |
% 28.36/7.30 | Applying alpha-rule on (3406) yields:
% 28.36/7.30 | (3407) ~ (all_0_219_219 = e12)
% 28.36/7.30 | (3408) ~ (all_0_185_185 = e10)
% 28.36/7.30 | (3409) ~ (all_0_183_183 = e13)
% 28.36/7.30 | (3410) ~ (all_0_184_184 = e11)
% 28.36/7.30 | (3411) all_0_252_252 = all_0_255_255
% 28.36/7.30 |
% 28.36/7.30 | Combining equations (918,3411) yields a new equation:
% 28.36/7.30 | (1178) all_0_255_255 = e10
% 28.36/7.30 |
% 28.36/7.30 | Combining equations (1178,839) yields a new equation:
% 28.36/7.30 | (862) e13 = e10
% 28.36/7.30 |
% 28.36/7.30 | Equations (862) can reduce 210 to:
% 28.36/7.30 | (537) $false
% 28.36/7.30 |
% 28.36/7.30 |-The branch is then unsatisfiable
% 28.36/7.30 |-Branch two:
% 28.36/7.30 | (3415) all_0_252_252 = all_0_255_255 & ~ (all_0_192_192 = e13) & ~ (all_0_193_193 = e12) & ~ (all_0_194_194 = e10) & ~ (all_0_228_228 = e11)
% 28.36/7.30 |
% 28.36/7.30 | Applying alpha-rule on (3415) yields:
% 28.36/7.30 | (3416) ~ (all_0_192_192 = e13)
% 28.36/7.30 | (3417) ~ (all_0_194_194 = e10)
% 28.36/7.30 | (3418) ~ (all_0_228_228 = e11)
% 28.36/7.30 | (3411) all_0_252_252 = all_0_255_255
% 28.36/7.30 | (3420) ~ (all_0_193_193 = e12)
% 28.36/7.30 |
% 28.36/7.30 | Combining equations (918,3411) yields a new equation:
% 28.36/7.30 | (1178) all_0_255_255 = e10
% 28.36/7.30 |
% 28.36/7.30 | Combining equations (1178,839) yields a new equation:
% 28.36/7.30 | (862) e13 = e10
% 28.36/7.30 |
% 28.36/7.30 | Equations (862) can reduce 210 to:
% 28.36/7.30 | (537) $false
% 28.36/7.30 |
% 28.36/7.30 |-The branch is then unsatisfiable
% 28.36/7.30 |-Branch two:
% 28.36/7.30 | (3424) all_0_253_253 = e11 & ~ (all_0_186_186 = e13) & ~ (all_0_187_187 = e11) & ~ (all_0_188_188 = e10) & ~ (all_0_222_222 = e12)
% 28.36/7.30 |
% 28.36/7.30 | Applying alpha-rule on (3424) yields:
% 28.36/7.30 | (3425) ~ (all_0_188_188 = e10)
% 28.36/7.30 | (3426) ~ (all_0_187_187 = e11)
% 28.36/7.30 | (3427) ~ (all_0_186_186 = e13)
% 28.36/7.30 | (693) all_0_253_253 = e11
% 28.36/7.30 | (3429) ~ (all_0_222_222 = e12)
% 28.36/7.30 |
% 28.36/7.30 | Combining equations (693,1183) yields a new equation:
% 28.36/7.30 | (959) e13 = e11
% 28.36/7.30 |
% 28.36/7.30 | Equations (959) can reduce 446 to:
% 28.36/7.30 | (537) $false
% 28.36/7.30 |
% 28.36/7.30 |-The branch is then unsatisfiable
% 28.36/7.30 |-Branch two:
% 28.36/7.30 | (3432) all_0_253_253 = e11 & ~ (all_0_252_252 = e12) & ~ (all_0_256_256 = e11)
% 28.36/7.30 |
% 28.36/7.30 | Applying alpha-rule on (3432) yields:
% 28.36/7.30 | (693) all_0_253_253 = e11
% 28.36/7.30 | (1147) ~ (all_0_252_252 = e12)
% 28.36/7.30 | (1720) ~ (all_0_256_256 = e11)
% 28.36/7.30 |
% 28.36/7.30 | Combining equations (693,1183) yields a new equation:
% 28.36/7.30 | (959) e13 = e11
% 28.36/7.30 |
% 28.36/7.30 | Equations (959) can reduce 446 to:
% 28.36/7.30 | (537) $false
% 28.36/7.30 |
% 28.36/7.30 |-The branch is then unsatisfiable
% 28.36/7.30 |-Branch two:
% 28.36/7.30 | (3438) all_0_257_257 = e13 & ~ (all_0_198_198 = e13) & ~ (all_0_199_199 = e12) & ~ (all_0_200_200 = e10) & ~ (all_0_233_233 = e11)
% 28.36/7.30 |
% 28.36/7.30 | Applying alpha-rule on (3438) yields:
% 28.36/7.30 | (3439) ~ (all_0_233_233 = e11)
% 28.36/7.30 | (1187) all_0_257_257 = e13
% 28.36/7.30 | (3441) ~ (all_0_200_200 = e10)
% 28.36/7.30 | (3442) ~ (all_0_199_199 = e12)
% 28.36/7.30 | (3443) ~ (all_0_198_198 = e13)
% 28.36/7.30 |
% 28.36/7.30 | Combining equations (1187,871) yields a new equation:
% 28.36/7.30 | (983) e13 = e10
% 28.36/7.30 |
% 28.36/7.30 | Simplifying 983 yields:
% 28.36/7.30 | (862) e13 = e10
% 28.36/7.30 |
% 28.36/7.30 | Equations (862) can reduce 210 to:
% 28.36/7.30 | (537) $false
% 28.36/7.30 |
% 28.36/7.30 |-The branch is then unsatisfiable
% 28.36/7.30 |-Branch two:
% 28.36/7.30 | (3447) ~ (all_0_165_165 = e12) & ~ (all_0_166_166 = e11) & ~ (all_0_167_167 = e10) & ~ (all_0_202_202 = e13)
% 28.36/7.30 |
% 28.36/7.30 | Applying alpha-rule on (3447) yields:
% 28.36/7.30 | (3448) ~ (all_0_165_165 = e12)
% 28.36/7.30 | (3449) ~ (all_0_166_166 = e11)
% 28.36/7.30 | (3450) ~ (all_0_167_167 = e10)
% 28.36/7.30 | (3451) ~ (all_0_202_202 = e13)
% 28.36/7.30 |
% 28.36/7.30 | Equations (2776) can reduce 3451 to:
% 28.36/7.30 | (537) $false
% 28.36/7.30 |
% 28.36/7.30 |-The branch is then unsatisfiable
% 28.36/7.30 |-Branch two:
% 28.36/7.30 | (3453) ~ (all_0_180_180 = e13) & ~ (all_0_181_181 = e11) & ~ (all_0_182_182 = e10) & ~ (all_0_216_216 = e12)
% 28.36/7.30 |
% 28.36/7.31 | Applying alpha-rule on (3453) yields:
% 28.36/7.31 | (3454) ~ (all_0_180_180 = e13)
% 28.36/7.31 | (3455) ~ (all_0_181_181 = e11)
% 28.36/7.31 | (3456) ~ (all_0_182_182 = e10)
% 28.36/7.31 | (3457) ~ (all_0_216_216 = e12)
% 28.36/7.31 |
% 28.36/7.31 | Equations (1581) can reduce 3457 to:
% 28.36/7.31 | (537) $false
% 28.36/7.31 |
% 28.36/7.31 |-The branch is then unsatisfiable
% 28.36/7.31 |-Branch two:
% 28.36/7.31 | (3459) ~ (all_0_195_195 = e13) & ~ (all_0_196_196 = e12) & ~ (all_0_197_197 = e10) & ~ (all_0_230_230 = e11)
% 28.36/7.31 |
% 28.36/7.31 | Applying alpha-rule on (3459) yields:
% 28.36/7.31 | (3460) ~ (all_0_195_195 = e13)
% 28.36/7.31 | (3461) ~ (all_0_196_196 = e12)
% 28.36/7.31 | (3462) ~ (all_0_197_197 = e10)
% 28.36/7.31 | (3463) ~ (all_0_230_230 = e11)
% 28.36/7.31 |
% 28.36/7.31 | Equations (2601) can reduce 3463 to:
% 28.36/7.31 | (537) $false
% 28.36/7.31 |
% 28.36/7.31 |-The branch is then unsatisfiable
% 28.36/7.31 |-Branch two:
% 28.36/7.31 | (3465) ~ (all_0_247_247 = e13) & ~ (all_0_251_251 = e12)
% 28.36/7.31 |
% 28.36/7.31 | Applying alpha-rule on (3465) yields:
% 28.36/7.31 | (1405) ~ (all_0_247_247 = e13)
% 28.36/7.31 | (1010) ~ (all_0_251_251 = e12)
% 28.36/7.31 |
% 28.36/7.31 | Equations (933) can reduce 1010 to:
% 28.36/7.31 | (537) $false
% 28.36/7.31 |
% 28.36/7.31 |-The branch is then unsatisfiable
% 28.36/7.31 |-Branch two:
% 28.36/7.31 | (1013) ~ (all_0_248_248 = e12)
% 28.36/7.31 | (910) all_0_248_248 = e10
% 28.36/7.31 |
% 28.36/7.31 | Equations (910) can reduce 905 to:
% 28.36/7.31 | (537) $false
% 28.36/7.31 |
% 28.36/7.31 |-The branch is then unsatisfiable
% 28.36/7.31 |-Branch two:
% 28.36/7.31 | (1186) ~ (all_0_253_253 = e13)
% 28.36/7.31 | (1187) all_0_257_257 = e13
% 28.36/7.31 |
% 28.36/7.31 | Equations (1187) can reduce 843 to:
% 28.36/7.31 | (537) $false
% 28.36/7.31 |
% 28.36/7.31 |-The branch is then unsatisfiable
% 28.36/7.31 |-Branch two:
% 28.36/7.31 | (1189) ~ (all_0_255_255 = e13)
% 28.36/7.31 | (1190) all_0_255_255 = e12 | all_0_255_255 = e10
% 28.36/7.31 |
% 28.36/7.31 +-Applying beta-rule and splitting (433), into two cases.
% 28.36/7.31 |-Branch one:
% 28.36/7.31 | (927) all_0_248_248 = e12
% 28.36/7.31 |
% 28.36/7.31 | Equations (927) can reduce 905 to:
% 28.36/7.31 | (8) ~ (e12 = e10)
% 28.36/7.31 |
% 28.36/7.31 +-Applying beta-rule and splitting (409), into two cases.
% 28.36/7.31 |-Branch one:
% 28.36/7.31 | (910) all_0_248_248 = e10
% 28.36/7.31 |
% 28.36/7.31 | Combining equations (927,910) yields a new equation:
% 28.36/7.31 | (1159) e12 = e10
% 28.36/7.31 |
% 28.36/7.31 | Simplifying 1159 yields:
% 28.36/7.31 | (952) e12 = e10
% 28.36/7.31 |
% 28.36/7.31 | Equations (952) can reduce 8 to:
% 28.36/7.31 | (537) $false
% 28.36/7.31 |
% 28.36/7.31 |-The branch is then unsatisfiable
% 28.36/7.31 |-Branch two:
% 28.36/7.31 | (905) ~ (all_0_248_248 = e10)
% 28.36/7.31 | (913) all_0_252_252 = e10 | all_0_256_256 = e10
% 28.36/7.31 |
% 28.36/7.31 +-Applying beta-rule and splitting (53), into two cases.
% 28.36/7.31 |-Branch one:
% 28.36/7.31 | (1178) all_0_255_255 = e10
% 28.36/7.31 |
% 28.36/7.31 | Equations (1178) can reduce 1498 to:
% 28.36/7.31 | (537) $false
% 28.36/7.31 |
% 28.36/7.31 |-The branch is then unsatisfiable
% 28.36/7.31 |-Branch two:
% 28.36/7.31 | (1498) ~ (all_0_255_255 = e10)
% 28.36/7.31 | (1499) all_0_256_256 = e10 | all_0_257_257 = e10
% 28.36/7.31 |
% 28.36/7.31 +-Applying beta-rule and splitting (913), into two cases.
% 28.36/7.31 |-Branch one:
% 28.36/7.31 | (918) all_0_252_252 = e10
% 28.36/7.31 |
% 28.36/7.31 | Equations (918) can reduce 697 to:
% 28.36/7.31 | (906) ~ (e11 = e10)
% 28.36/7.31 |
% 28.36/7.31 | Simplifying 906 yields:
% 28.36/7.31 | (293) ~ (e11 = e10)
% 28.36/7.31 |
% 28.36/7.31 +-Applying beta-rule and splitting (1499), into two cases.
% 28.36/7.31 |-Branch one:
% 28.36/7.31 | (1021) all_0_256_256 = e10
% 28.36/7.31 |
% 28.36/7.31 | Combining equations (1021,741) yields a new equation:
% 28.36/7.31 | (868) e11 = e10
% 28.36/7.31 |
% 28.36/7.31 | Equations (868) can reduce 293 to:
% 28.36/7.31 | (537) $false
% 28.36/7.31 |
% 28.36/7.31 |-The branch is then unsatisfiable
% 28.36/7.31 |-Branch two:
% 28.36/7.31 | (1521) ~ (all_0_256_256 = e10)
% 28.36/7.31 | (871) all_0_257_257 = e10
% 28.36/7.31 |
% 28.36/7.31 | Equations (871) can reduce 386 to:
% 28.36/7.31 | (1498) ~ (all_0_255_255 = e10)
% 28.36/7.31 |
% 28.36/7.31 +-Applying beta-rule and splitting (1190), into two cases.
% 28.36/7.31 |-Branch one:
% 28.36/7.31 | (1403) all_0_255_255 = e12
% 28.36/7.31 |
% 28.36/7.31 | Equations (1403) can reduce 800 to:
% 28.36/7.31 | (537) $false
% 28.36/7.31 |
% 28.36/7.31 |-The branch is then unsatisfiable
% 28.36/7.31 |-Branch two:
% 28.36/7.31 | (800) ~ (all_0_255_255 = e12)
% 28.36/7.31 | (1178) all_0_255_255 = e10
% 28.36/7.31 |
% 28.36/7.31 | Equations (1178) can reduce 1498 to:
% 28.36/7.31 | (537) $false
% 28.36/7.31 |
% 28.36/7.31 |-The branch is then unsatisfiable
% 28.36/7.31 |-Branch two:
% 28.36/7.31 | (1020) ~ (all_0_252_252 = e10)
% 28.36/7.31 | (1021) all_0_256_256 = e10
% 28.36/7.31 |
% 28.36/7.31 | Combining equations (741,1021) yields a new equation:
% 28.36/7.31 | (867) e11 = e10
% 28.36/7.31 |
% 28.36/7.31 | Simplifying 867 yields:
% 28.36/7.31 | (868) e11 = e10
% 28.36/7.31 |
% 28.36/7.31 | Equations (868) can reduce 293 to:
% 28.36/7.31 | (537) $false
% 28.36/7.31 |
% 28.36/7.31 |-The branch is then unsatisfiable
% 28.36/7.31 |-Branch two:
% 28.36/7.31 | (1013) ~ (all_0_248_248 = e12)
% 28.36/7.31 | (1014) all_0_252_252 = e12 | all_0_256_256 = e12
% 28.36/7.31 |
% 28.36/7.31 +-Applying beta-rule and splitting (769), into two cases.
% 28.36/7.31 |-Branch one:
% 28.36/7.31 | (1056) all_0_252_252 = e12
% 28.36/7.31 |
% 28.36/7.31 | Equations (1056) can reduce 1147 to:
% 28.36/7.31 | (537) $false
% 28.36/7.31 |
% 28.36/7.31 |-The branch is then unsatisfiable
% 28.36/7.31 |-Branch two:
% 28.36/7.31 | (1147) ~ (all_0_252_252 = e12)
% 28.36/7.31 | (918) all_0_252_252 = e10
% 28.36/7.31 |
% 28.36/7.31 | Equations (918) can reduce 1147 to:
% 28.36/7.31 | (874) ~ (e12 = e10)
% 28.36/7.31 |
% 28.36/7.31 | Simplifying 874 yields:
% 28.36/7.31 | (8) ~ (e12 = e10)
% 28.36/7.31 |
% 28.36/7.31 +-Applying beta-rule and splitting (1014), into two cases.
% 28.36/7.31 |-Branch one:
% 28.36/7.31 | (1056) all_0_252_252 = e12
% 28.36/7.31 |
% 28.36/7.31 | Combining equations (918,1056) yields a new equation:
% 28.36/7.31 | (952) e12 = e10
% 28.36/7.31 |
% 28.36/7.31 | Equations (952) can reduce 8 to:
% 28.36/7.31 | (537) $false
% 28.36/7.31 |
% 28.36/7.31 |-The branch is then unsatisfiable
% 28.36/7.31 |-Branch two:
% 28.36/7.31 | (1147) ~ (all_0_252_252 = e12)
% 28.36/7.31 | (1676) all_0_256_256 = e12
% 28.36/7.31 |
% 28.36/7.31 | Combining equations (741,1676) yields a new equation:
% 28.36/7.31 | (772) e12 = e11
% 28.36/7.31 |
% 28.36/7.31 | Equations (772) can reduce 113 to:
% 28.36/7.31 | (537) $false
% 28.36/7.31 |
% 28.36/7.31 |-The branch is then unsatisfiable
% 28.36/7.31 |-Branch two:
% 28.36/7.31 | (1010) ~ (all_0_251_251 = e12)
% 28.36/7.31 | (1403) all_0_255_255 = e12
% 28.36/7.31 |
% 28.36/7.31 | Equations (1403) can reduce 800 to:
% 28.36/7.31 | (537) $false
% 28.36/7.31 |
% 28.36/7.31 |-The branch is then unsatisfiable
% 28.36/7.31 |-Branch two:
% 28.36/7.31 | (1469) ~ (all_0_246_246 = e13)
% 28.36/7.31 | (1787) all_0_250_250 = e13 | all_0_254_254 = e13
% 28.36/7.31 |
% 28.36/7.31 +-Applying beta-rule and splitting (1787), into two cases.
% 28.36/7.31 |-Branch one:
% 28.36/7.31 | (776) all_0_250_250 = e13
% 28.36/7.31 |
% 28.36/7.31 | Combining equations (716,776) yields a new equation:
% 28.36/7.31 | (959) e13 = e11
% 28.36/7.31 |
% 28.36/7.31 | Equations (959) can reduce 446 to:
% 28.36/7.31 | (537) $false
% 28.36/7.31 |
% 28.36/7.31 |-The branch is then unsatisfiable
% 28.36/7.31 |-Branch two:
% 28.36/7.31 | (1417) ~ (all_0_250_250 = e13)
% 28.36/7.31 | (795) all_0_254_254 = e13
% 28.36/7.31 |
% 28.36/7.31 | Combining equations (798,795) yields a new equation:
% 28.36/7.31 | (833) e13 = e12
% 28.36/7.31 |
% 28.36/7.31 | Equations (833) can reduce 305 to:
% 28.36/7.31 | (537) $false
% 28.36/7.31 |
% 28.36/7.31 |-The branch is then unsatisfiable
% 28.36/7.31 |-Branch two:
% 28.36/7.31 | (694) ~ (all_0_249_249 = e11)
% 28.36/7.31 | (3536) all_0_253_253 = e11 | all_0_257_257 = e11
% 28.36/7.31 |
% 28.36/7.31 +-Applying beta-rule and splitting (259), into two cases.
% 28.36/7.31 |-Branch one:
% 28.36/7.31 | (720) all_0_246_246 = e11
% 28.36/7.31 |
% 28.36/7.31 | Equations (720) can reduce 1692 to:
% 28.36/7.31 | (537) $false
% 28.36/7.31 |
% 28.36/7.31 |-The branch is then unsatisfiable
% 28.36/7.31 |-Branch two:
% 28.36/7.31 | (1692) ~ (all_0_246_246 = e11)
% 28.36/7.31 | (1693) all_0_248_248 = e11 | all_0_249_249 = e11
% 28.36/7.31 |
% 28.36/7.31 +-Applying beta-rule and splitting (3536), into two cases.
% 28.36/7.31 |-Branch one:
% 28.36/7.31 | (693) all_0_253_253 = e11
% 28.36/7.31 |
% 28.36/7.31 | Equations (693) can reduce 2525 to:
% 28.36/7.31 | (537) $false
% 28.36/7.31 |
% 28.36/7.31 |-The branch is then unsatisfiable
% 28.36/7.31 |-Branch two:
% 28.36/7.31 | (2525) ~ (all_0_253_253 = e11)
% 28.36/7.31 | (1505) all_0_257_257 = e11
% 28.36/7.31 |
% 28.36/7.31 | Equations (1505) can reduce 61 to:
% 28.36/7.31 | (694) ~ (all_0_249_249 = e11)
% 28.36/7.31 |
% 28.36/7.31 | Equations (1505) can reduce 51 to:
% 28.36/7.31 | (2525) ~ (all_0_253_253 = e11)
% 28.36/7.31 |
% 28.36/7.31 | Equations (1505) can reduce 242 to:
% 28.36/7.31 | (744) ~ (all_0_254_254 = e11)
% 28.36/7.31 |
% 28.36/7.31 | Equations (1505) can reduce 386 to:
% 28.36/7.31 | (134) ~ (all_0_255_255 = e11)
% 28.36/7.31 |
% 28.36/7.31 | Equations (1505) can reduce 384 to:
% 28.36/7.31 | (698) ~ (e12 = e11)
% 28.36/7.31 |
% 28.36/7.31 | Simplifying 698 yields:
% 28.36/7.31 | (113) ~ (e12 = e11)
% 28.36/7.31 |
% 28.36/7.31 | From (1505) and (148) follows:
% 28.36/7.31 | (3551) op1(e11, e11) = all_0_232_232
% 28.36/7.31 |
% 28.36/7.31 | From (1505) and (462) follows:
% 28.36/7.31 | (3552) op1(e11, e10) = all_0_231_231
% 28.36/7.31 |
% 28.36/7.31 | From (1505) and (331) follows:
% 28.36/7.31 | (3553) op1(e13, e11) = all_0_198_198
% 28.36/7.31 |
% 28.36/7.31 | From (1505) and (121) follows:
% 28.36/7.31 | (3554) op1(e12, e11) = all_0_199_199
% 28.36/7.31 |
% 28.36/7.31 | From (1505) and (310) follows:
% 28.36/7.31 | (3555) op1(e11, e11) = all_0_233_233
% 28.36/7.31 |
% 28.36/7.31 | From (1505) and (273) follows:
% 28.36/7.31 | (3556) op1(e11, e10) = e11
% 28.36/7.31 |
% 28.36/7.31 +-Applying beta-rule and splitting (1693), into two cases.
% 28.36/7.31 |-Branch one:
% 28.36/7.31 | (734) all_0_248_248 = e11
% 28.36/7.32 |
% 28.36/7.32 | Equations (734) can reduce 298 to:
% 28.36/7.32 | (1692) ~ (all_0_246_246 = e11)
% 28.36/7.32 |
% 28.36/7.32 | Equations (734) can reduce 271 to:
% 28.36/7.32 | (101) ~ (all_0_247_247 = e11)
% 28.36/7.32 |
% 28.36/7.32 | Equations (734) can reduce 343 to:
% 28.36/7.32 | (725) ~ (all_0_249_249 = e11)
% 28.36/7.32 |
% 28.36/7.32 | Simplifying 725 yields:
% 28.36/7.32 | (694) ~ (all_0_249_249 = e11)
% 28.36/7.32 |
% 28.36/7.32 | Equations (734) can reduce 153 to:
% 28.36/7.32 | (1702) ~ (all_0_252_252 = e11)
% 28.36/7.32 |
% 28.36/7.32 | Simplifying 1702 yields:
% 28.36/7.32 | (697) ~ (all_0_252_252 = e11)
% 28.36/7.32 |
% 28.36/7.32 | Equations (734) can reduce 478 to:
% 28.36/7.32 | (1719) ~ (all_0_256_256 = e11)
% 28.36/7.32 |
% 28.36/7.32 | Simplifying 1719 yields:
% 28.36/7.32 | (1720) ~ (all_0_256_256 = e11)
% 28.36/7.32 |
% 28.36/7.32 | Equations (734) can reduce 400 to:
% 28.36/7.32 | (748) ~ (e13 = e11)
% 28.36/7.32 |
% 28.36/7.32 | Simplifying 748 yields:
% 28.36/7.32 | (446) ~ (e13 = e11)
% 28.36/7.32 |
% 28.36/7.32 | From (734) and (410) follows:
% 28.36/7.32 | (3568) op1(e11, e13) = all_0_207_207
% 28.36/7.32 |
% 28.36/7.32 | From (734) and (170) follows:
% 28.36/7.32 | (1706) op1(e11, e11) = all_0_206_206
% 28.36/7.32 |
% 28.36/7.32 | From (734) and (304) follows:
% 28.36/7.32 | (1707) op1(e13, e11) = all_0_208_208
% 28.36/7.32 |
% 28.36/7.32 | From (734) and (24) follows:
% 28.36/7.32 | (1708) op1(e13, e11) = e11
% 28.36/7.32 |
% 28.36/7.32 | From (734) and (50) follows:
% 28.36/7.32 | (3572) op1(e12, e11) = all_0_171_171
% 28.36/7.32 |
% 28.36/7.32 | From (734) and (174) follows:
% 28.36/7.32 | (1709) op1(e11, e11) = all_0_172_172
% 28.36/7.32 |
% 28.36/7.32 | Instantiating formula (144) with e13, e11, all_0_208_208, all_0_198_198 and discharging atoms op1(e13, e11) = all_0_198_198, op1(e13, e11) = all_0_208_208, yields:
% 28.36/7.32 | (3574) all_0_198_198 = all_0_208_208
% 28.36/7.32 |
% 28.36/7.32 | Instantiating formula (144) with e13, e11, e11, all_0_198_198 and discharging atoms op1(e13, e11) = all_0_198_198, op1(e13, e11) = e11, yields:
% 28.36/7.32 | (1300) all_0_198_198 = e11
% 28.36/7.32 |
% 28.36/7.32 | Instantiating formula (144) with e12, e11, all_0_171_171, all_0_252_252 and discharging atoms op1(e12, e11) = all_0_171_171, op1(e12, e11) = all_0_252_252, yields:
% 28.36/7.32 | (3576) all_0_171_171 = all_0_252_252
% 28.36/7.32 |
% 28.36/7.32 | Instantiating formula (144) with e12, e11, all_0_199_199, all_0_171_171 and discharging atoms op1(e12, e11) = all_0_171_171, op1(e12, e11) = all_0_199_199, yields:
% 28.36/7.32 | (3577) all_0_171_171 = all_0_199_199
% 28.36/7.32 |
% 28.36/7.32 | Instantiating formula (144) with e11, e13, all_0_207_207, all_0_254_254 and discharging atoms op1(e11, e13) = all_0_207_207, op1(e11, e13) = all_0_254_254, yields:
% 28.36/7.32 | (3578) all_0_207_207 = all_0_254_254
% 28.36/7.32 |
% 28.36/7.32 | Instantiating formula (144) with e11, e11, all_0_206_206, all_0_256_256 and discharging atoms op1(e11, e11) = all_0_206_206, op1(e11, e11) = all_0_256_256, yields:
% 28.36/7.32 | (3579) all_0_206_206 = all_0_256_256
% 28.36/7.32 |
% 28.36/7.32 | Instantiating formula (144) with e11, e11, all_0_232_232, all_0_172_172 and discharging atoms op1(e11, e11) = all_0_172_172, op1(e11, e11) = all_0_232_232, yields:
% 28.36/7.32 | (3580) all_0_172_172 = all_0_232_232
% 28.36/7.32 |
% 28.36/7.32 | Instantiating formula (144) with e11, e11, all_0_232_232, all_0_206_206 and discharging atoms op1(e11, e11) = all_0_206_206, op1(e11, e11) = all_0_232_232, yields:
% 28.36/7.32 | (2767) all_0_206_206 = all_0_232_232
% 28.36/7.32 |
% 28.36/7.32 | Instantiating formula (144) with e11, e11, all_0_233_233, all_0_172_172 and discharging atoms op1(e11, e11) = all_0_172_172, op1(e11, e11) = all_0_233_233, yields:
% 28.36/7.32 | (3582) all_0_172_172 = all_0_233_233
% 28.36/7.32 |
% 28.36/7.32 | Instantiating formula (144) with e11, e10, e11, all_0_231_231 and discharging atoms op1(e11, e10) = all_0_231_231, op1(e11, e10) = e11, yields:
% 28.36/7.32 | (3066) all_0_231_231 = e11
% 28.36/7.32 |
% 28.36/7.32 | Combining equations (3576,3577) yields a new equation:
% 28.36/7.32 | (3584) all_0_199_199 = all_0_252_252
% 28.36/7.32 |
% 28.36/7.32 | Combining equations (3580,3582) yields a new equation:
% 28.36/7.32 | (3585) all_0_232_232 = all_0_233_233
% 28.36/7.32 |
% 28.36/7.32 | Simplifying 3585 yields:
% 28.36/7.32 | (3586) all_0_232_232 = all_0_233_233
% 28.36/7.32 |
% 28.36/7.32 | Combining equations (3574,1300) yields a new equation:
% 28.36/7.32 | (1740) all_0_208_208 = e11
% 28.36/7.32 |
% 28.36/7.32 | Simplifying 1740 yields:
% 28.36/7.32 | (1741) all_0_208_208 = e11
% 28.36/7.32 |
% 28.36/7.32 | Combining equations (2767,3579) yields a new equation:
% 28.36/7.32 | (3589) all_0_232_232 = all_0_256_256
% 28.36/7.32 |
% 28.36/7.32 | Simplifying 3589 yields:
% 28.36/7.32 | (3590) all_0_232_232 = all_0_256_256
% 28.36/7.32 |
% 28.36/7.32 | Combining equations (3590,3586) yields a new equation:
% 28.36/7.32 | (3591) all_0_233_233 = all_0_256_256
% 28.36/7.32 |
% 28.36/7.32 | From (1741) and (1707) follows:
% 28.36/7.32 | (1708) op1(e13, e11) = e11
% 28.36/7.32 |
% 28.36/7.32 | From (3584) and (3554) follows:
% 28.36/7.32 | (136) op1(e12, e11) = all_0_252_252
% 28.36/7.32 |
% 28.36/7.32 | From (3066) and (3552) follows:
% 28.36/7.32 | (3556) op1(e11, e10) = e11
% 28.36/7.32 |
% 28.36/7.32 +-Applying beta-rule and splitting (335), into two cases.
% 28.36/7.32 |-Branch one:
% 28.36/7.32 | (1005) all_0_249_249 = e11
% 28.36/7.32 |
% 28.36/7.32 | Equations (1005) can reduce 694 to:
% 28.36/7.32 | (537) $false
% 28.36/7.32 |
% 28.36/7.32 |-The branch is then unsatisfiable
% 28.36/7.32 |-Branch two:
% 28.36/7.32 | (694) ~ (all_0_249_249 = e11)
% 28.36/7.32 | (1250) all_0_249_249 = e13 | all_0_249_249 = e10
% 28.36/7.32 |
% 28.36/7.32 +-Applying beta-rule and splitting (433), into two cases.
% 28.36/7.32 |-Branch one:
% 28.36/7.32 | (927) all_0_248_248 = e12
% 28.36/7.32 |
% 28.36/7.32 | Combining equations (734,927) yields a new equation:
% 28.36/7.32 | (772) e12 = e11
% 28.36/7.32 |
% 28.36/7.32 | Equations (772) can reduce 113 to:
% 28.36/7.32 | (537) $false
% 28.36/7.32 |
% 28.36/7.32 |-The branch is then unsatisfiable
% 28.36/7.32 |-Branch two:
% 28.36/7.32 | (1013) ~ (all_0_248_248 = e12)
% 28.36/7.32 | (1014) all_0_252_252 = e12 | all_0_256_256 = e12
% 28.36/7.32 |
% 28.36/7.32 +-Applying beta-rule and splitting (53), into two cases.
% 28.36/7.32 |-Branch one:
% 28.36/7.32 | (1178) all_0_255_255 = e10
% 28.36/7.32 |
% 28.36/7.32 | Equations (1178) can reduce 312 to:
% 28.36/7.32 | (3605) ~ (all_0_256_256 = e10)
% 28.36/7.32 |
% 28.36/7.32 | Simplifying 3605 yields:
% 28.36/7.32 | (1521) ~ (all_0_256_256 = e10)
% 28.36/7.32 |
% 28.36/7.32 | Equations (1178) can reduce 134 to:
% 28.36/7.32 | (906) ~ (e11 = e10)
% 28.36/7.32 |
% 28.36/7.32 | Simplifying 906 yields:
% 28.36/7.32 | (293) ~ (e11 = e10)
% 28.36/7.32 |
% 28.36/7.32 | From (1178) and (166) follows:
% 28.36/7.32 | (3609) op1(e11, e10) = all_0_228_228
% 28.36/7.32 |
% 28.36/7.32 +-Applying beta-rule and splitting (409), into two cases.
% 28.36/7.32 |-Branch one:
% 28.36/7.32 | (910) all_0_248_248 = e10
% 28.36/7.32 |
% 28.36/7.32 | Combining equations (910,734) yields a new equation:
% 28.36/7.32 | (868) e11 = e10
% 28.36/7.32 |
% 28.36/7.32 | Equations (868) can reduce 293 to:
% 28.36/7.32 | (537) $false
% 28.36/7.32 |
% 28.36/7.32 |-The branch is then unsatisfiable
% 28.36/7.32 |-Branch two:
% 28.36/7.32 | (905) ~ (all_0_248_248 = e10)
% 28.36/7.32 | (913) all_0_252_252 = e10 | all_0_256_256 = e10
% 28.36/7.32 |
% 28.36/7.32 +-Applying beta-rule and splitting (274), into two cases.
% 28.36/7.32 |-Branch one:
% 28.36/7.32 | (741) all_0_256_256 = e11
% 28.36/7.32 |
% 28.36/7.32 | Equations (741) can reduce 1720 to:
% 28.36/7.32 | (537) $false
% 28.36/7.32 |
% 28.36/7.32 |-The branch is then unsatisfiable
% 28.36/7.32 |-Branch two:
% 28.36/7.32 | (1720) ~ (all_0_256_256 = e11)
% 28.36/7.32 | (1776) all_0_256_256 = e12 | all_0_256_256 = e10
% 28.36/7.32 |
% 28.36/7.32 +-Applying beta-rule and splitting (1776), into two cases.
% 28.36/7.32 |-Branch one:
% 28.36/7.32 | (1676) all_0_256_256 = e12
% 28.36/7.32 |
% 28.36/7.32 | Equations (1676) can reduce 211 to:
% 28.36/7.32 | (1426) ~ (all_0_254_254 = e12)
% 28.36/7.32 |
% 28.36/7.32 | Equations (1676) can reduce 1720 to:
% 28.36/7.32 | (113) ~ (e12 = e11)
% 28.36/7.32 |
% 28.36/7.32 | Equations (1676) can reduce 1521 to:
% 28.36/7.32 | (8) ~ (e12 = e10)
% 28.36/7.32 |
% 28.36/7.32 | From (1676) and (193) follows:
% 28.36/7.32 | (3623) op1(e13, e12) = all_0_195_195
% 28.36/7.32 |
% 28.36/7.32 | From (1676) and (138) follows:
% 28.36/7.32 | (3624) op1(e12, e12) = all_0_196_196
% 28.36/7.32 |
% 28.36/7.32 +-Applying beta-rule and splitting (913), into two cases.
% 28.36/7.32 |-Branch one:
% 28.36/7.32 | (918) all_0_252_252 = e10
% 28.36/7.32 |
% 28.36/7.32 | Equations (918) can reduce 25 to:
% 28.36/7.32 | (3166) ~ (all_0_253_253 = e10)
% 28.36/7.32 |
% 28.36/7.32 | Simplifying 3166 yields:
% 28.36/7.32 | (870) ~ (all_0_253_253 = e10)
% 28.36/7.32 |
% 28.36/7.32 | Equations (918) can reduce 697 to:
% 28.36/7.32 | (906) ~ (e11 = e10)
% 28.36/7.32 |
% 28.36/7.32 | Simplifying 906 yields:
% 28.36/7.32 | (293) ~ (e11 = e10)
% 28.36/7.32 |
% 28.36/7.32 | From (918) and (369) follows:
% 28.36/7.32 | (3630) op1(e11, e10) = all_0_184_184
% 28.36/7.32 |
% 28.36/7.32 +-Applying beta-rule and splitting (45), into two cases.
% 28.36/7.32 |-Branch one:
% 28.36/7.32 | (861) all_0_249_249 = e10
% 28.36/7.32 |
% 28.36/7.32 | Equations (861) can reduce 428 to:
% 28.36/7.32 | (116) ~ (all_0_246_246 = e10)
% 28.36/7.32 |
% 28.36/7.32 | Equations (861) can reduce 457 to:
% 28.36/7.32 | (1025) ~ (all_0_247_247 = e10)
% 28.36/7.32 |
% 28.36/7.32 | From (861) and (316) follows:
% 28.36/7.32 | (3634) op1(e11, e10) = all_0_175_175
% 28.36/7.32 |
% 28.36/7.32 +-Applying beta-rule and splitting (77), into two cases.
% 28.36/7.32 |-Branch one:
% 28.36/7.32 | (791) all_0_254_254 = e11
% 28.36/7.32 |
% 28.36/7.32 | Equations (791) can reduce 744 to:
% 28.36/7.32 | (537) $false
% 28.36/7.32 |
% 28.36/7.32 |-The branch is then unsatisfiable
% 28.36/7.32 |-Branch two:
% 28.36/7.32 | (744) ~ (all_0_254_254 = e11)
% 28.36/7.32 | (794) all_0_254_254 = e13 | all_0_254_254 = e12
% 28.36/7.32 |
% 28.36/7.32 +-Applying beta-rule and splitting (251), into two cases.
% 28.36/7.32 |-Branch one:
% 28.36/7.32 | (795) all_0_254_254 = e13
% 28.36/7.32 |
% 28.36/7.32 | Equations (795) can reduce 1426 to:
% 28.36/7.32 | (305) ~ (e13 = e12)
% 28.36/7.32 |
% 28.36/7.32 +-Applying beta-rule and splitting (404), into two cases.
% 28.36/7.32 |-Branch one:
% 28.36/7.32 | (770) all_0_246_246 = e12
% 28.36/7.32 |
% 28.36/7.32 | Equations (770) can reduce 248 to:
% 28.36/7.33 | (2064) ~ (all_0_247_247 = e12)
% 28.36/7.33 |
% 28.36/7.33 | Simplifying 2064 yields:
% 28.36/7.33 | (1150) ~ (all_0_247_247 = e12)
% 28.36/7.33 |
% 28.36/7.33 | Equations (770) can reduce 1692 to:
% 28.36/7.33 | (113) ~ (e12 = e11)
% 28.36/7.33 |
% 28.36/7.33 | Equations (770) can reduce 116 to:
% 28.36/7.33 | (8) ~ (e12 = e10)
% 28.36/7.33 |
% 28.36/7.33 | From (770) and (355) follows:
% 28.36/7.33 | (2635) op1(e13, e12) = all_0_202_202
% 28.36/7.33 |
% 28.36/7.33 | From (770) and (55) follows:
% 28.36/7.33 | (2637) op1(e12, e12) = all_0_165_165
% 28.36/7.33 |
% 28.36/7.33 +-Applying beta-rule and splitting (476), into two cases.
% 28.36/7.33 |-Branch one:
% 28.36/7.33 | (1152) all_0_250_250 = e12
% 28.36/7.33 |
% 28.36/7.33 | Combining equations (1152,716) yields a new equation:
% 28.36/7.33 | (771) e12 = e11
% 28.36/7.33 |
% 28.36/7.33 | Simplifying 771 yields:
% 28.36/7.33 | (772) e12 = e11
% 28.36/7.33 |
% 28.58/7.33 | Equations (772) can reduce 113 to:
% 28.58/7.33 | (537) $false
% 28.58/7.33 |
% 28.58/7.33 |-The branch is then unsatisfiable
% 28.58/7.33 |-Branch two:
% 28.58/7.33 | (1156) ~ (all_0_250_250 = e12)
% 28.58/7.33 | (1157) all_0_251_251 = e12 | all_0_252_252 = e12
% 28.58/7.33 |
% 28.58/7.33 +-Applying beta-rule and splitting (286), into two cases.
% 28.58/7.33 |-Branch one:
% 28.58/7.33 | (1191) all_0_247_247 = e13
% 28.58/7.33 |
% 28.58/7.33 | Equations (1191) can reduce 296 to:
% 28.58/7.33 | (777) ~ (all_0_251_251 = e13)
% 28.58/7.33 |
% 28.58/7.33 | Simplifying 777 yields:
% 28.58/7.33 | (778) ~ (all_0_251_251 = e13)
% 28.58/7.33 |
% 28.58/7.33 | Equations (1191) can reduce 101 to:
% 28.58/7.33 | (446) ~ (e13 = e11)
% 28.58/7.33 |
% 28.58/7.33 | From (1191) and (230) follows:
% 28.58/7.33 | (2706) op1(e13, e12) = all_0_203_203
% 28.58/7.33 |
% 28.58/7.33 | From (1191) and (62) follows:
% 28.58/7.33 | (2708) op1(e13, e12) = e13
% 28.58/7.33 |
% 28.58/7.33 +-Applying beta-rule and splitting (214), into two cases.
% 28.58/7.33 |-Branch one:
% 28.58/7.33 | (776) all_0_250_250 = e13
% 28.58/7.33 |
% 28.58/7.33 | Combining equations (716,776) yields a new equation:
% 28.58/7.33 | (959) e13 = e11
% 28.58/7.33 |
% 28.58/7.33 | Equations (959) can reduce 446 to:
% 28.58/7.33 | (537) $false
% 28.58/7.33 |
% 28.58/7.33 |-The branch is then unsatisfiable
% 28.58/7.33 |-Branch two:
% 28.58/7.33 | (1417) ~ (all_0_250_250 = e13)
% 28.58/7.33 | (1418) all_0_251_251 = e13 | all_0_253_253 = e13
% 28.58/7.33 |
% 28.58/7.33 +-Applying beta-rule and splitting (180), into two cases.
% 28.58/7.33 |-Branch one:
% 28.58/7.33 | (929) all_0_251_251 = e13
% 28.58/7.33 |
% 28.58/7.33 | Equations (929) can reduce 778 to:
% 28.58/7.33 | (537) $false
% 28.58/7.33 |
% 28.58/7.33 |-The branch is then unsatisfiable
% 28.58/7.33 |-Branch two:
% 28.58/7.33 | (778) ~ (all_0_251_251 = e13)
% 28.58/7.33 | (932) all_0_251_251 = e12 | all_0_251_251 = e10
% 28.58/7.33 |
% 28.58/7.33 +-Applying beta-rule and splitting (1418), into two cases.
% 28.58/7.33 |-Branch one:
% 28.58/7.33 | (929) all_0_251_251 = e13
% 28.58/7.33 |
% 28.58/7.33 | Equations (929) can reduce 778 to:
% 28.58/7.33 | (537) $false
% 28.58/7.33 |
% 28.58/7.33 |-The branch is then unsatisfiable
% 28.58/7.33 |-Branch two:
% 28.58/7.33 | (778) ~ (all_0_251_251 = e13)
% 28.58/7.33 | (1183) all_0_253_253 = e13
% 28.58/7.33 |
% 28.58/7.33 | Equations (1183) can reduce 2525 to:
% 28.58/7.33 | (446) ~ (e13 = e11)
% 28.58/7.33 |
% 28.58/7.33 | From (1183) and (366) follows:
% 28.58/7.33 | (2727) op1(e13, e12) = all_0_221_221
% 28.58/7.33 |
% 28.58/7.33 +-Applying beta-rule and splitting (1157), into two cases.
% 28.58/7.33 |-Branch one:
% 28.58/7.33 | (933) all_0_251_251 = e12
% 28.58/7.33 |
% 28.58/7.33 | From (933) and (239) follows:
% 28.58/7.33 | (3676) op1(e13, e12) = all_0_180_180
% 28.58/7.33 |
% 28.58/7.33 | From (933) and (238) follows:
% 28.58/7.33 | (3305) op1(e12, e12) = all_0_216_216
% 28.58/7.33 |
% 28.58/7.33 | From (933) and (89) follows:
% 28.58/7.33 | (3306) op1(e12, e12) = e12
% 28.58/7.33 |
% 28.58/7.33 | Instantiating formula (144) with e13, e12, all_0_202_202, all_0_180_180 and discharging atoms op1(e13, e12) = all_0_180_180, op1(e13, e12) = all_0_202_202, yields:
% 28.58/7.33 | (3679) all_0_180_180 = all_0_202_202
% 28.58/7.33 |
% 28.58/7.33 | Instantiating formula (144) with e13, e12, all_0_203_203, all_0_195_195 and discharging atoms op1(e13, e12) = all_0_195_195, op1(e13, e12) = all_0_203_203, yields:
% 28.58/7.33 | (3680) all_0_195_195 = all_0_203_203
% 28.58/7.33 |
% 28.58/7.33 | Instantiating formula (144) with e13, e12, all_0_203_203, all_0_202_202 and discharging atoms op1(e13, e12) = all_0_202_202, op1(e13, e12) = all_0_203_203, yields:
% 28.58/7.33 | (2752) all_0_202_202 = all_0_203_203
% 28.58/7.33 |
% 28.58/7.33 | Instantiating formula (144) with e13, e12, all_0_221_221, all_0_180_180 and discharging atoms op1(e13, e12) = all_0_180_180, op1(e13, e12) = all_0_221_221, yields:
% 28.58/7.33 | (3682) all_0_180_180 = all_0_221_221
% 28.58/7.33 |
% 28.58/7.33 | Instantiating formula (144) with e13, e12, e13, all_0_195_195 and discharging atoms op1(e13, e12) = all_0_195_195, op1(e13, e12) = e13, yields:
% 28.58/7.33 | (3683) all_0_195_195 = e13
% 28.58/7.33 |
% 28.58/7.33 | Instantiating formula (144) with e12, e12, all_0_196_196, all_0_165_165 and discharging atoms op1(e12, e12) = all_0_165_165, op1(e12, e12) = all_0_196_196, yields:
% 28.58/7.33 | (756) all_0_165_165 = all_0_196_196
% 28.58/7.33 |
% 28.58/7.33 | Instantiating formula (144) with e12, e12, all_0_216_216, all_0_196_196 and discharging atoms op1(e12, e12) = all_0_196_196, op1(e12, e12) = all_0_216_216, yields:
% 28.58/7.33 | (3685) all_0_196_196 = all_0_216_216
% 28.58/7.33 |
% 28.58/7.33 | Instantiating formula (144) with e12, e12, e12, all_0_165_165 and discharging atoms op1(e12, e12) = all_0_165_165, op1(e12, e12) = e12, yields:
% 28.58/7.33 | (3686) all_0_165_165 = e12
% 28.58/7.33 |
% 28.58/7.33 | Instantiating formula (144) with e11, e10, all_0_175_175, e11 and discharging atoms op1(e11, e10) = all_0_175_175, op1(e11, e10) = e11, yields:
% 28.58/7.33 | (2595) all_0_175_175 = e11
% 28.58/7.33 |
% 28.58/7.33 | Instantiating formula (144) with e11, e10, all_0_184_184, all_0_175_175 and discharging atoms op1(e11, e10) = all_0_175_175, op1(e11, e10) = all_0_184_184, yields:
% 28.58/7.33 | (3688) all_0_175_175 = all_0_184_184
% 28.58/7.33 |
% 28.58/7.33 | Instantiating formula (144) with e11, e10, all_0_228_228, all_0_184_184 and discharging atoms op1(e11, e10) = all_0_184_184, op1(e11, e10) = all_0_228_228, yields:
% 28.58/7.33 | (2770) all_0_184_184 = all_0_228_228
% 28.58/7.33 |
% 28.58/7.33 | Combining equations (756,3686) yields a new equation:
% 28.58/7.33 | (3690) all_0_196_196 = e12
% 28.58/7.33 |
% 28.58/7.33 | Simplifying 3690 yields:
% 28.58/7.33 | (3691) all_0_196_196 = e12
% 28.58/7.33 |
% 28.58/7.33 | Combining equations (3688,2595) yields a new equation:
% 28.58/7.33 | (3692) all_0_184_184 = e11
% 28.58/7.33 |
% 28.58/7.33 | Simplifying 3692 yields:
% 28.58/7.33 | (3693) all_0_184_184 = e11
% 28.58/7.33 |
% 28.58/7.33 | Combining equations (3679,3682) yields a new equation:
% 28.58/7.33 | (2785) all_0_202_202 = all_0_221_221
% 28.58/7.33 |
% 28.58/7.33 | Simplifying 2785 yields:
% 28.58/7.33 | (2786) all_0_202_202 = all_0_221_221
% 28.58/7.33 |
% 28.58/7.33 | Combining equations (2770,3693) yields a new equation:
% 28.58/7.33 | (3696) all_0_228_228 = e11
% 28.58/7.33 |
% 28.58/7.33 | Simplifying 3696 yields:
% 28.58/7.33 | (3697) all_0_228_228 = e11
% 28.58/7.33 |
% 28.58/7.33 | Combining equations (3680,3683) yields a new equation:
% 28.58/7.33 | (3698) all_0_203_203 = e13
% 28.58/7.33 |
% 28.58/7.33 | Simplifying 3698 yields:
% 28.58/7.33 | (2789) all_0_203_203 = e13
% 28.58/7.33 |
% 28.58/7.33 | Combining equations (3685,3691) yields a new equation:
% 28.58/7.33 | (3344) all_0_216_216 = e12
% 28.58/7.33 |
% 28.58/7.33 | Simplifying 3344 yields:
% 28.58/7.33 | (1581) all_0_216_216 = e12
% 28.58/7.33 |
% 28.58/7.33 | Combining equations (2752,2786) yields a new equation:
% 28.58/7.33 | (3702) all_0_203_203 = all_0_221_221
% 28.58/7.33 |
% 28.58/7.33 | Simplifying 3702 yields:
% 28.58/7.33 | (2788) all_0_203_203 = all_0_221_221
% 28.58/7.33 |
% 28.58/7.33 | Combining equations (2788,2789) yields a new equation:
% 28.58/7.33 | (2790) all_0_221_221 = e13
% 28.58/7.33 |
% 28.58/7.33 | Simplifying 2790 yields:
% 28.58/7.33 | (840) all_0_221_221 = e13
% 28.58/7.33 |
% 28.58/7.33 | Combining equations (840,2786) yields a new equation:
% 28.58/7.33 | (2776) all_0_202_202 = e13
% 28.58/7.33 |
% 28.58/7.33 +-Applying beta-rule and splitting (288), into two cases.
% 28.58/7.33 |-Branch one:
% 28.58/7.33 | (3346) (all_0_247_247 = all_0_250_250 & ~ (all_0_168_168 = e12) & ~ (all_0_169_169 = e11) & ~ (all_0_170_170 = e10) & ~ (all_0_205_205 = e13)) | (all_0_247_247 = all_0_250_250 & ~ (all_0_177_177 = e13) & ~ (all_0_178_178 = e11) & ~ (all_0_179_179 = e10) & ~ (all_0_214_214 = e12)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_171_171 = e12) & ~ (all_0_172_172 = e11) & ~ (all_0_173_173 = e10) & ~ (all_0_208_208 = e13)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_189_189 = e13) & ~ (all_0_190_190 = e12) & ~ (all_0_191_191 = e10) & ~ (all_0_225_225 = e11)) | (all_0_249_249 = e10 & ~ (all_0_174_174 = e12) & ~ (all_0_175_175 = e11) & ~ (all_0_176_176 = e10) & ~ (all_0_211_211 = e13)) | (all_0_249_249 = e10 & ~ (all_0_257_257 = e11)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_183_183 = e13) & ~ (all_0_184_184 = e11) & ~ (all_0_185_185 = e10) & ~ (all_0_219_219 = e12)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_192_192 = e13) & ~ (all_0_193_193 = e12) & ~ (all_0_194_194 = e10) & ~ (all_0_228_228 = e11)) | (all_0_253_253 = e11 & ~ (all_0_186_186 = e13) & ~ (all_0_187_187 = e11) & ~ (all_0_188_188 = e10) & ~ (all_0_222_222 = e12)) | (all_0_253_253 = e11 & ~ (all_0_252_252 = e12) & ~ (all_0_256_256 = e11)) | (all_0_257_257 = e13 & ~ (all_0_198_198 = e13) & ~ (all_0_199_199 = e12) & ~ (all_0_200_200 = e10) & ~ (all_0_233_233 = e11)) | ( ~ (all_0_165_165 = e12) & ~ (all_0_166_166 = e11) & ~ (all_0_167_167 = e10) & ~ (all_0_202_202 = e13)) | ( ~ (all_0_180_180 = e13) & ~ (all_0_181_181 = e11) & ~ (all_0_182_182 = e10) & ~ (all_0_216_216 = e12)) | ( ~ (all_0_195_195 = e13) & ~ (all_0_196_196 = e12) & ~ (all_0_197_197 = e10) & ~ (all_0_230_230 = e11))
% 28.58/7.34 |
% 28.58/7.34 +-Applying beta-rule and splitting (3346), into two cases.
% 28.58/7.34 |-Branch one:
% 28.58/7.34 | (3347) (all_0_247_247 = all_0_250_250 & ~ (all_0_168_168 = e12) & ~ (all_0_169_169 = e11) & ~ (all_0_170_170 = e10) & ~ (all_0_205_205 = e13)) | (all_0_247_247 = all_0_250_250 & ~ (all_0_177_177 = e13) & ~ (all_0_178_178 = e11) & ~ (all_0_179_179 = e10) & ~ (all_0_214_214 = e12)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_171_171 = e12) & ~ (all_0_172_172 = e11) & ~ (all_0_173_173 = e10) & ~ (all_0_208_208 = e13)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_189_189 = e13) & ~ (all_0_190_190 = e12) & ~ (all_0_191_191 = e10) & ~ (all_0_225_225 = e11)) | (all_0_249_249 = e10 & ~ (all_0_174_174 = e12) & ~ (all_0_175_175 = e11) & ~ (all_0_176_176 = e10) & ~ (all_0_211_211 = e13)) | (all_0_249_249 = e10 & ~ (all_0_257_257 = e11)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_183_183 = e13) & ~ (all_0_184_184 = e11) & ~ (all_0_185_185 = e10) & ~ (all_0_219_219 = e12)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_192_192 = e13) & ~ (all_0_193_193 = e12) & ~ (all_0_194_194 = e10) & ~ (all_0_228_228 = e11)) | (all_0_253_253 = e11 & ~ (all_0_186_186 = e13) & ~ (all_0_187_187 = e11) & ~ (all_0_188_188 = e10) & ~ (all_0_222_222 = e12)) | (all_0_253_253 = e11 & ~ (all_0_252_252 = e12) & ~ (all_0_256_256 = e11)) | (all_0_257_257 = e13 & ~ (all_0_198_198 = e13) & ~ (all_0_199_199 = e12) & ~ (all_0_200_200 = e10) & ~ (all_0_233_233 = e11)) | ( ~ (all_0_165_165 = e12) & ~ (all_0_166_166 = e11) & ~ (all_0_167_167 = e10) & ~ (all_0_202_202 = e13)) | ( ~ (all_0_180_180 = e13) & ~ (all_0_181_181 = e11) & ~ (all_0_182_182 = e10) & ~ (all_0_216_216 = e12))
% 28.58/7.34 |
% 28.58/7.34 +-Applying beta-rule and splitting (3347), into two cases.
% 28.58/7.34 |-Branch one:
% 28.58/7.34 | (3348) (all_0_247_247 = all_0_250_250 & ~ (all_0_168_168 = e12) & ~ (all_0_169_169 = e11) & ~ (all_0_170_170 = e10) & ~ (all_0_205_205 = e13)) | (all_0_247_247 = all_0_250_250 & ~ (all_0_177_177 = e13) & ~ (all_0_178_178 = e11) & ~ (all_0_179_179 = e10) & ~ (all_0_214_214 = e12)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_171_171 = e12) & ~ (all_0_172_172 = e11) & ~ (all_0_173_173 = e10) & ~ (all_0_208_208 = e13)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_189_189 = e13) & ~ (all_0_190_190 = e12) & ~ (all_0_191_191 = e10) & ~ (all_0_225_225 = e11)) | (all_0_249_249 = e10 & ~ (all_0_174_174 = e12) & ~ (all_0_175_175 = e11) & ~ (all_0_176_176 = e10) & ~ (all_0_211_211 = e13)) | (all_0_249_249 = e10 & ~ (all_0_257_257 = e11)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_183_183 = e13) & ~ (all_0_184_184 = e11) & ~ (all_0_185_185 = e10) & ~ (all_0_219_219 = e12)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_192_192 = e13) & ~ (all_0_193_193 = e12) & ~ (all_0_194_194 = e10) & ~ (all_0_228_228 = e11)) | (all_0_253_253 = e11 & ~ (all_0_186_186 = e13) & ~ (all_0_187_187 = e11) & ~ (all_0_188_188 = e10) & ~ (all_0_222_222 = e12)) | (all_0_253_253 = e11 & ~ (all_0_252_252 = e12) & ~ (all_0_256_256 = e11)) | (all_0_257_257 = e13 & ~ (all_0_198_198 = e13) & ~ (all_0_199_199 = e12) & ~ (all_0_200_200 = e10) & ~ (all_0_233_233 = e11)) | ( ~ (all_0_165_165 = e12) & ~ (all_0_166_166 = e11) & ~ (all_0_167_167 = e10) & ~ (all_0_202_202 = e13))
% 28.58/7.34 |
% 28.58/7.34 +-Applying beta-rule and splitting (3348), into two cases.
% 28.58/7.34 |-Branch one:
% 28.58/7.34 | (3349) (all_0_247_247 = all_0_250_250 & ~ (all_0_168_168 = e12) & ~ (all_0_169_169 = e11) & ~ (all_0_170_170 = e10) & ~ (all_0_205_205 = e13)) | (all_0_247_247 = all_0_250_250 & ~ (all_0_177_177 = e13) & ~ (all_0_178_178 = e11) & ~ (all_0_179_179 = e10) & ~ (all_0_214_214 = e12)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_171_171 = e12) & ~ (all_0_172_172 = e11) & ~ (all_0_173_173 = e10) & ~ (all_0_208_208 = e13)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_189_189 = e13) & ~ (all_0_190_190 = e12) & ~ (all_0_191_191 = e10) & ~ (all_0_225_225 = e11)) | (all_0_249_249 = e10 & ~ (all_0_174_174 = e12) & ~ (all_0_175_175 = e11) & ~ (all_0_176_176 = e10) & ~ (all_0_211_211 = e13)) | (all_0_249_249 = e10 & ~ (all_0_257_257 = e11)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_183_183 = e13) & ~ (all_0_184_184 = e11) & ~ (all_0_185_185 = e10) & ~ (all_0_219_219 = e12)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_192_192 = e13) & ~ (all_0_193_193 = e12) & ~ (all_0_194_194 = e10) & ~ (all_0_228_228 = e11)) | (all_0_253_253 = e11 & ~ (all_0_186_186 = e13) & ~ (all_0_187_187 = e11) & ~ (all_0_188_188 = e10) & ~ (all_0_222_222 = e12)) | (all_0_253_253 = e11 & ~ (all_0_252_252 = e12) & ~ (all_0_256_256 = e11)) | (all_0_257_257 = e13 & ~ (all_0_198_198 = e13) & ~ (all_0_199_199 = e12) & ~ (all_0_200_200 = e10) & ~ (all_0_233_233 = e11))
% 28.58/7.34 |
% 28.58/7.34 +-Applying beta-rule and splitting (3349), into two cases.
% 28.58/7.34 |-Branch one:
% 28.58/7.34 | (3350) (all_0_247_247 = all_0_250_250 & ~ (all_0_168_168 = e12) & ~ (all_0_169_169 = e11) & ~ (all_0_170_170 = e10) & ~ (all_0_205_205 = e13)) | (all_0_247_247 = all_0_250_250 & ~ (all_0_177_177 = e13) & ~ (all_0_178_178 = e11) & ~ (all_0_179_179 = e10) & ~ (all_0_214_214 = e12)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_171_171 = e12) & ~ (all_0_172_172 = e11) & ~ (all_0_173_173 = e10) & ~ (all_0_208_208 = e13)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_189_189 = e13) & ~ (all_0_190_190 = e12) & ~ (all_0_191_191 = e10) & ~ (all_0_225_225 = e11)) | (all_0_249_249 = e10 & ~ (all_0_174_174 = e12) & ~ (all_0_175_175 = e11) & ~ (all_0_176_176 = e10) & ~ (all_0_211_211 = e13)) | (all_0_249_249 = e10 & ~ (all_0_257_257 = e11)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_183_183 = e13) & ~ (all_0_184_184 = e11) & ~ (all_0_185_185 = e10) & ~ (all_0_219_219 = e12)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_192_192 = e13) & ~ (all_0_193_193 = e12) & ~ (all_0_194_194 = e10) & ~ (all_0_228_228 = e11)) | (all_0_253_253 = e11 & ~ (all_0_186_186 = e13) & ~ (all_0_187_187 = e11) & ~ (all_0_188_188 = e10) & ~ (all_0_222_222 = e12)) | (all_0_253_253 = e11 & ~ (all_0_252_252 = e12) & ~ (all_0_256_256 = e11))
% 28.58/7.34 |
% 28.58/7.34 +-Applying beta-rule and splitting (3350), into two cases.
% 28.58/7.34 |-Branch one:
% 28.58/7.34 | (3351) (all_0_247_247 = all_0_250_250 & ~ (all_0_168_168 = e12) & ~ (all_0_169_169 = e11) & ~ (all_0_170_170 = e10) & ~ (all_0_205_205 = e13)) | (all_0_247_247 = all_0_250_250 & ~ (all_0_177_177 = e13) & ~ (all_0_178_178 = e11) & ~ (all_0_179_179 = e10) & ~ (all_0_214_214 = e12)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_171_171 = e12) & ~ (all_0_172_172 = e11) & ~ (all_0_173_173 = e10) & ~ (all_0_208_208 = e13)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_189_189 = e13) & ~ (all_0_190_190 = e12) & ~ (all_0_191_191 = e10) & ~ (all_0_225_225 = e11)) | (all_0_249_249 = e10 & ~ (all_0_174_174 = e12) & ~ (all_0_175_175 = e11) & ~ (all_0_176_176 = e10) & ~ (all_0_211_211 = e13)) | (all_0_249_249 = e10 & ~ (all_0_257_257 = e11)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_183_183 = e13) & ~ (all_0_184_184 = e11) & ~ (all_0_185_185 = e10) & ~ (all_0_219_219 = e12)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_192_192 = e13) & ~ (all_0_193_193 = e12) & ~ (all_0_194_194 = e10) & ~ (all_0_228_228 = e11)) | (all_0_253_253 = e11 & ~ (all_0_186_186 = e13) & ~ (all_0_187_187 = e11) & ~ (all_0_188_188 = e10) & ~ (all_0_222_222 = e12))
% 28.58/7.34 |
% 28.58/7.34 +-Applying beta-rule and splitting (3351), into two cases.
% 28.58/7.34 |-Branch one:
% 28.58/7.34 | (3352) (all_0_247_247 = all_0_250_250 & ~ (all_0_168_168 = e12) & ~ (all_0_169_169 = e11) & ~ (all_0_170_170 = e10) & ~ (all_0_205_205 = e13)) | (all_0_247_247 = all_0_250_250 & ~ (all_0_177_177 = e13) & ~ (all_0_178_178 = e11) & ~ (all_0_179_179 = e10) & ~ (all_0_214_214 = e12)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_171_171 = e12) & ~ (all_0_172_172 = e11) & ~ (all_0_173_173 = e10) & ~ (all_0_208_208 = e13)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_189_189 = e13) & ~ (all_0_190_190 = e12) & ~ (all_0_191_191 = e10) & ~ (all_0_225_225 = e11)) | (all_0_249_249 = e10 & ~ (all_0_174_174 = e12) & ~ (all_0_175_175 = e11) & ~ (all_0_176_176 = e10) & ~ (all_0_211_211 = e13)) | (all_0_249_249 = e10 & ~ (all_0_257_257 = e11)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_183_183 = e13) & ~ (all_0_184_184 = e11) & ~ (all_0_185_185 = e10) & ~ (all_0_219_219 = e12)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_192_192 = e13) & ~ (all_0_193_193 = e12) & ~ (all_0_194_194 = e10) & ~ (all_0_228_228 = e11))
% 28.58/7.34 |
% 28.58/7.34 +-Applying beta-rule and splitting (3352), into two cases.
% 28.58/7.34 |-Branch one:
% 28.58/7.34 | (3353) (all_0_247_247 = all_0_250_250 & ~ (all_0_168_168 = e12) & ~ (all_0_169_169 = e11) & ~ (all_0_170_170 = e10) & ~ (all_0_205_205 = e13)) | (all_0_247_247 = all_0_250_250 & ~ (all_0_177_177 = e13) & ~ (all_0_178_178 = e11) & ~ (all_0_179_179 = e10) & ~ (all_0_214_214 = e12)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_171_171 = e12) & ~ (all_0_172_172 = e11) & ~ (all_0_173_173 = e10) & ~ (all_0_208_208 = e13)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_189_189 = e13) & ~ (all_0_190_190 = e12) & ~ (all_0_191_191 = e10) & ~ (all_0_225_225 = e11)) | (all_0_249_249 = e10 & ~ (all_0_174_174 = e12) & ~ (all_0_175_175 = e11) & ~ (all_0_176_176 = e10) & ~ (all_0_211_211 = e13)) | (all_0_249_249 = e10 & ~ (all_0_257_257 = e11)) | (all_0_252_252 = all_0_255_255 & ~ (all_0_183_183 = e13) & ~ (all_0_184_184 = e11) & ~ (all_0_185_185 = e10) & ~ (all_0_219_219 = e12))
% 28.58/7.34 |
% 28.58/7.34 +-Applying beta-rule and splitting (3353), into two cases.
% 28.58/7.34 |-Branch one:
% 28.58/7.34 | (3354) (all_0_247_247 = all_0_250_250 & ~ (all_0_168_168 = e12) & ~ (all_0_169_169 = e11) & ~ (all_0_170_170 = e10) & ~ (all_0_205_205 = e13)) | (all_0_247_247 = all_0_250_250 & ~ (all_0_177_177 = e13) & ~ (all_0_178_178 = e11) & ~ (all_0_179_179 = e10) & ~ (all_0_214_214 = e12)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_171_171 = e12) & ~ (all_0_172_172 = e11) & ~ (all_0_173_173 = e10) & ~ (all_0_208_208 = e13)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_189_189 = e13) & ~ (all_0_190_190 = e12) & ~ (all_0_191_191 = e10) & ~ (all_0_225_225 = e11)) | (all_0_249_249 = e10 & ~ (all_0_174_174 = e12) & ~ (all_0_175_175 = e11) & ~ (all_0_176_176 = e10) & ~ (all_0_211_211 = e13)) | (all_0_249_249 = e10 & ~ (all_0_257_257 = e11))
% 28.58/7.34 |
% 28.58/7.34 +-Applying beta-rule and splitting (3354), into two cases.
% 28.58/7.34 |-Branch one:
% 28.58/7.34 | (3355) (all_0_247_247 = all_0_250_250 & ~ (all_0_168_168 = e12) & ~ (all_0_169_169 = e11) & ~ (all_0_170_170 = e10) & ~ (all_0_205_205 = e13)) | (all_0_247_247 = all_0_250_250 & ~ (all_0_177_177 = e13) & ~ (all_0_178_178 = e11) & ~ (all_0_179_179 = e10) & ~ (all_0_214_214 = e12)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_171_171 = e12) & ~ (all_0_172_172 = e11) & ~ (all_0_173_173 = e10) & ~ (all_0_208_208 = e13)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_189_189 = e13) & ~ (all_0_190_190 = e12) & ~ (all_0_191_191 = e10) & ~ (all_0_225_225 = e11)) | (all_0_249_249 = e10 & ~ (all_0_174_174 = e12) & ~ (all_0_175_175 = e11) & ~ (all_0_176_176 = e10) & ~ (all_0_211_211 = e13))
% 28.58/7.34 |
% 28.58/7.34 +-Applying beta-rule and splitting (3355), into two cases.
% 28.58/7.34 |-Branch one:
% 28.58/7.34 | (3356) (all_0_247_247 = all_0_250_250 & ~ (all_0_168_168 = e12) & ~ (all_0_169_169 = e11) & ~ (all_0_170_170 = e10) & ~ (all_0_205_205 = e13)) | (all_0_247_247 = all_0_250_250 & ~ (all_0_177_177 = e13) & ~ (all_0_178_178 = e11) & ~ (all_0_179_179 = e10) & ~ (all_0_214_214 = e12)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_171_171 = e12) & ~ (all_0_172_172 = e11) & ~ (all_0_173_173 = e10) & ~ (all_0_208_208 = e13)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_189_189 = e13) & ~ (all_0_190_190 = e12) & ~ (all_0_191_191 = e10) & ~ (all_0_225_225 = e11))
% 28.58/7.34 |
% 28.58/7.34 +-Applying beta-rule and splitting (3356), into two cases.
% 28.58/7.34 |-Branch one:
% 28.58/7.34 | (3357) (all_0_247_247 = all_0_250_250 & ~ (all_0_168_168 = e12) & ~ (all_0_169_169 = e11) & ~ (all_0_170_170 = e10) & ~ (all_0_205_205 = e13)) | (all_0_247_247 = all_0_250_250 & ~ (all_0_177_177 = e13) & ~ (all_0_178_178 = e11) & ~ (all_0_179_179 = e10) & ~ (all_0_214_214 = e12)) | (all_0_248_248 = all_0_254_254 & ~ (all_0_171_171 = e12) & ~ (all_0_172_172 = e11) & ~ (all_0_173_173 = e10) & ~ (all_0_208_208 = e13))
% 28.58/7.34 |
% 28.58/7.34 +-Applying beta-rule and splitting (3357), into two cases.
% 28.58/7.34 |-Branch one:
% 28.58/7.34 | (3358) (all_0_247_247 = all_0_250_250 & ~ (all_0_168_168 = e12) & ~ (all_0_169_169 = e11) & ~ (all_0_170_170 = e10) & ~ (all_0_205_205 = e13)) | (all_0_247_247 = all_0_250_250 & ~ (all_0_177_177 = e13) & ~ (all_0_178_178 = e11) & ~ (all_0_179_179 = e10) & ~ (all_0_214_214 = e12))
% 28.58/7.34 |
% 28.58/7.34 +-Applying beta-rule and splitting (3358), into two cases.
% 28.58/7.34 |-Branch one:
% 28.58/7.34 | (3359) all_0_247_247 = all_0_250_250 & ~ (all_0_168_168 = e12) & ~ (all_0_169_169 = e11) & ~ (all_0_170_170 = e10) & ~ (all_0_205_205 = e13)
% 28.58/7.34 |
% 28.58/7.34 | Applying alpha-rule on (3359) yields:
% 28.58/7.34 | (3360) ~ (all_0_205_205 = e13)
% 28.58/7.34 | (3361) ~ (all_0_168_168 = e12)
% 28.58/7.34 | (3362) ~ (all_0_170_170 = e10)
% 28.58/7.34 | (3363) all_0_247_247 = all_0_250_250
% 28.58/7.34 | (3364) ~ (all_0_169_169 = e11)
% 28.58/7.34 |
% 28.58/7.34 | Combining equations (1191,3363) yields a new equation:
% 28.58/7.34 | (776) all_0_250_250 = e13
% 28.58/7.34 |
% 28.58/7.34 | Combining equations (716,776) yields a new equation:
% 28.58/7.34 | (959) e13 = e11
% 28.58/7.35 |
% 28.58/7.35 | Equations (959) can reduce 446 to:
% 28.58/7.35 | (537) $false
% 28.58/7.35 |
% 28.58/7.35 |-The branch is then unsatisfiable
% 28.58/7.35 |-Branch two:
% 28.58/7.35 | (3369) all_0_247_247 = all_0_250_250 & ~ (all_0_177_177 = e13) & ~ (all_0_178_178 = e11) & ~ (all_0_179_179 = e10) & ~ (all_0_214_214 = e12)
% 28.58/7.35 |
% 28.58/7.35 | Applying alpha-rule on (3369) yields:
% 28.58/7.35 | (3370) ~ (all_0_179_179 = e10)
% 28.58/7.35 | (3371) ~ (all_0_214_214 = e12)
% 28.58/7.35 | (3372) ~ (all_0_177_177 = e13)
% 28.58/7.35 | (3373) ~ (all_0_178_178 = e11)
% 28.58/7.35 | (3363) all_0_247_247 = all_0_250_250
% 28.58/7.35 |
% 28.58/7.35 | Combining equations (1191,3363) yields a new equation:
% 28.58/7.35 | (776) all_0_250_250 = e13
% 28.58/7.35 |
% 28.58/7.35 | Combining equations (716,776) yields a new equation:
% 28.58/7.35 | (959) e13 = e11
% 28.58/7.35 |
% 28.58/7.35 | Equations (959) can reduce 446 to:
% 28.58/7.35 | (537) $false
% 28.58/7.35 |
% 28.58/7.35 |-The branch is then unsatisfiable
% 28.58/7.35 |-Branch two:
% 28.58/7.35 | (3379) all_0_248_248 = all_0_254_254 & ~ (all_0_171_171 = e12) & ~ (all_0_172_172 = e11) & ~ (all_0_173_173 = e10) & ~ (all_0_208_208 = e13)
% 28.58/7.35 |
% 28.58/7.35 | Applying alpha-rule on (3379) yields:
% 28.58/7.35 | (3380) ~ (all_0_172_172 = e11)
% 28.58/7.35 | (3381) all_0_248_248 = all_0_254_254
% 28.58/7.35 | (3382) ~ (all_0_208_208 = e13)
% 28.58/7.35 | (3383) ~ (all_0_171_171 = e12)
% 28.58/7.35 | (3384) ~ (all_0_173_173 = e10)
% 28.58/7.35 |
% 28.58/7.35 | Combining equations (734,3381) yields a new equation:
% 28.58/7.35 | (791) all_0_254_254 = e11
% 28.58/7.35 |
% 28.58/7.35 | Combining equations (791,795) yields a new equation:
% 28.58/7.35 | (959) e13 = e11
% 28.58/7.35 |
% 28.58/7.35 | Equations (959) can reduce 446 to:
% 28.58/7.35 | (537) $false
% 28.58/7.35 |
% 28.58/7.35 |-The branch is then unsatisfiable
% 28.58/7.35 |-Branch two:
% 28.58/7.35 | (3386) all_0_248_248 = all_0_254_254 & ~ (all_0_189_189 = e13) & ~ (all_0_190_190 = e12) & ~ (all_0_191_191 = e10) & ~ (all_0_225_225 = e11)
% 28.58/7.35 |
% 28.58/7.35 | Applying alpha-rule on (3386) yields:
% 28.58/7.35 | (3387) ~ (all_0_225_225 = e11)
% 28.58/7.35 | (3381) all_0_248_248 = all_0_254_254
% 28.58/7.35 | (3389) ~ (all_0_189_189 = e13)
% 28.58/7.35 | (3390) ~ (all_0_191_191 = e10)
% 28.58/7.35 | (3391) ~ (all_0_190_190 = e12)
% 28.58/7.35 |
% 28.58/7.35 | Combining equations (734,3381) yields a new equation:
% 28.58/7.35 | (791) all_0_254_254 = e11
% 28.58/7.35 |
% 28.58/7.35 | Combining equations (791,795) yields a new equation:
% 28.58/7.35 | (959) e13 = e11
% 28.58/7.35 |
% 28.58/7.35 | Equations (959) can reduce 446 to:
% 28.58/7.35 | (537) $false
% 28.58/7.35 |
% 28.58/7.35 |-The branch is then unsatisfiable
% 28.58/7.35 |-Branch two:
% 28.58/7.35 | (3393) all_0_249_249 = e10 & ~ (all_0_174_174 = e12) & ~ (all_0_175_175 = e11) & ~ (all_0_176_176 = e10) & ~ (all_0_211_211 = e13)
% 28.58/7.35 |
% 28.58/7.35 | Applying alpha-rule on (3393) yields:
% 28.58/7.35 | (3394) ~ (all_0_174_174 = e12)
% 28.58/7.35 | (861) all_0_249_249 = e10
% 28.58/7.35 | (3396) ~ (all_0_176_176 = e10)
% 28.58/7.35 | (3397) ~ (all_0_211_211 = e13)
% 28.58/7.35 | (3398) ~ (all_0_175_175 = e11)
% 28.58/7.35 |
% 28.58/7.35 | Equations (2595) can reduce 3398 to:
% 28.58/7.35 | (537) $false
% 28.58/7.35 |
% 28.58/7.35 |-The branch is then unsatisfiable
% 28.58/7.35 |-Branch two:
% 28.58/7.35 | (3401) all_0_249_249 = e10 & ~ (all_0_257_257 = e11)
% 28.58/7.35 |
% 28.58/7.35 | Applying alpha-rule on (3401) yields:
% 28.58/7.35 | (861) all_0_249_249 = e10
% 28.58/7.35 | (747) ~ (all_0_257_257 = e11)
% 28.58/7.35 |
% 28.58/7.35 | Equations (1505) can reduce 747 to:
% 28.58/7.35 | (537) $false
% 28.58/7.35 |
% 28.58/7.35 |-The branch is then unsatisfiable
% 28.58/7.35 |-Branch two:
% 28.58/7.35 | (3406) all_0_252_252 = all_0_255_255 & ~ (all_0_183_183 = e13) & ~ (all_0_184_184 = e11) & ~ (all_0_185_185 = e10) & ~ (all_0_219_219 = e12)
% 28.58/7.35 |
% 28.58/7.35 | Applying alpha-rule on (3406) yields:
% 28.58/7.35 | (3407) ~ (all_0_219_219 = e12)
% 28.58/7.35 | (3408) ~ (all_0_185_185 = e10)
% 28.58/7.35 | (3409) ~ (all_0_183_183 = e13)
% 28.58/7.35 | (3410) ~ (all_0_184_184 = e11)
% 28.58/7.35 | (3411) all_0_252_252 = all_0_255_255
% 28.58/7.35 |
% 28.58/7.35 | Equations (3693) can reduce 3410 to:
% 28.58/7.35 | (537) $false
% 28.58/7.35 |
% 28.58/7.35 |-The branch is then unsatisfiable
% 28.58/7.35 |-Branch two:
% 28.58/7.35 | (3415) all_0_252_252 = all_0_255_255 & ~ (all_0_192_192 = e13) & ~ (all_0_193_193 = e12) & ~ (all_0_194_194 = e10) & ~ (all_0_228_228 = e11)
% 28.58/7.35 |
% 28.58/7.35 | Applying alpha-rule on (3415) yields:
% 28.58/7.35 | (3416) ~ (all_0_192_192 = e13)
% 28.58/7.35 | (3417) ~ (all_0_194_194 = e10)
% 28.58/7.35 | (3418) ~ (all_0_228_228 = e11)
% 28.58/7.35 | (3411) all_0_252_252 = all_0_255_255
% 28.58/7.35 | (3420) ~ (all_0_193_193 = e12)
% 28.58/7.35 |
% 28.58/7.35 | Equations (3697) can reduce 3418 to:
% 28.58/7.35 | (537) $false
% 28.58/7.35 |
% 28.58/7.35 |-The branch is then unsatisfiable
% 28.58/7.35 |-Branch two:
% 28.58/7.35 | (3424) all_0_253_253 = e11 & ~ (all_0_186_186 = e13) & ~ (all_0_187_187 = e11) & ~ (all_0_188_188 = e10) & ~ (all_0_222_222 = e12)
% 28.58/7.35 |
% 28.58/7.35 | Applying alpha-rule on (3424) yields:
% 28.58/7.35 | (3425) ~ (all_0_188_188 = e10)
% 28.58/7.35 | (3426) ~ (all_0_187_187 = e11)
% 28.58/7.35 | (3427) ~ (all_0_186_186 = e13)
% 28.58/7.35 | (693) all_0_253_253 = e11
% 28.58/7.35 | (3429) ~ (all_0_222_222 = e12)
% 28.58/7.35 |
% 28.58/7.35 | Combining equations (693,1183) yields a new equation:
% 28.58/7.35 | (959) e13 = e11
% 28.58/7.35 |
% 28.58/7.35 | Equations (959) can reduce 446 to:
% 28.58/7.35 | (537) $false
% 28.58/7.35 |
% 28.58/7.35 |-The branch is then unsatisfiable
% 28.58/7.35 |-Branch two:
% 28.58/7.35 | (3432) all_0_253_253 = e11 & ~ (all_0_252_252 = e12) & ~ (all_0_256_256 = e11)
% 28.58/7.35 |
% 28.58/7.35 | Applying alpha-rule on (3432) yields:
% 28.58/7.35 | (693) all_0_253_253 = e11
% 28.58/7.35 | (1147) ~ (all_0_252_252 = e12)
% 28.58/7.35 | (1720) ~ (all_0_256_256 = e11)
% 28.58/7.35 |
% 28.58/7.35 | Combining equations (693,1183) yields a new equation:
% 28.58/7.35 | (959) e13 = e11
% 28.58/7.35 |
% 28.58/7.35 | Equations (959) can reduce 446 to:
% 28.58/7.35 | (537) $false
% 28.58/7.35 |
% 28.58/7.35 |-The branch is then unsatisfiable
% 28.58/7.35 |-Branch two:
% 28.58/7.35 | (3438) all_0_257_257 = e13 & ~ (all_0_198_198 = e13) & ~ (all_0_199_199 = e12) & ~ (all_0_200_200 = e10) & ~ (all_0_233_233 = e11)
% 28.58/7.35 |
% 28.58/7.35 | Applying alpha-rule on (3438) yields:
% 28.58/7.35 | (3439) ~ (all_0_233_233 = e11)
% 28.58/7.35 | (1187) all_0_257_257 = e13
% 28.58/7.35 | (3441) ~ (all_0_200_200 = e10)
% 28.58/7.36 | (3442) ~ (all_0_199_199 = e12)
% 28.58/7.36 | (3443) ~ (all_0_198_198 = e13)
% 28.58/7.36 |
% 28.58/7.36 | Combining equations (1187,1505) yields a new equation:
% 28.58/7.36 | (958) e13 = e11
% 28.58/7.36 |
% 28.58/7.36 | Simplifying 958 yields:
% 28.58/7.36 | (959) e13 = e11
% 28.58/7.36 |
% 28.58/7.36 | Equations (959) can reduce 446 to:
% 28.58/7.36 | (537) $false
% 28.58/7.36 |
% 28.58/7.36 |-The branch is then unsatisfiable
% 28.58/7.36 |-Branch two:
% 28.58/7.36 | (3447) ~ (all_0_165_165 = e12) & ~ (all_0_166_166 = e11) & ~ (all_0_167_167 = e10) & ~ (all_0_202_202 = e13)
% 28.58/7.36 |
% 28.58/7.36 | Applying alpha-rule on (3447) yields:
% 28.58/7.36 | (3448) ~ (all_0_165_165 = e12)
% 28.58/7.36 | (3449) ~ (all_0_166_166 = e11)
% 28.58/7.36 | (3450) ~ (all_0_167_167 = e10)
% 28.58/7.36 | (3451) ~ (all_0_202_202 = e13)
% 28.58/7.36 |
% 28.58/7.36 | Equations (2776) can reduce 3451 to:
% 28.58/7.36 | (537) $false
% 28.58/7.36 |
% 28.58/7.36 |-The branch is then unsatisfiable
% 28.58/7.36 |-Branch two:
% 28.58/7.36 | (3453) ~ (all_0_180_180 = e13) & ~ (all_0_181_181 = e11) & ~ (all_0_182_182 = e10) & ~ (all_0_216_216 = e12)
% 28.58/7.36 |
% 28.58/7.36 | Applying alpha-rule on (3453) yields:
% 28.58/7.36 | (3454) ~ (all_0_180_180 = e13)
% 28.58/7.36 | (3455) ~ (all_0_181_181 = e11)
% 28.58/7.36 | (3456) ~ (all_0_182_182 = e10)
% 28.58/7.36 | (3457) ~ (all_0_216_216 = e12)
% 28.58/7.36 |
% 28.58/7.36 | Equations (1581) can reduce 3457 to:
% 28.58/7.36 | (537) $false
% 28.58/7.36 |
% 28.58/7.36 |-The branch is then unsatisfiable
% 28.58/7.36 |-Branch two:
% 28.58/7.36 | (3459) ~ (all_0_195_195 = e13) & ~ (all_0_196_196 = e12) & ~ (all_0_197_197 = e10) & ~ (all_0_230_230 = e11)
% 28.58/7.36 |
% 28.58/7.36 | Applying alpha-rule on (3459) yields:
% 28.58/7.36 | (3460) ~ (all_0_195_195 = e13)
% 28.58/7.36 | (3461) ~ (all_0_196_196 = e12)
% 28.58/7.36 | (3462) ~ (all_0_197_197 = e10)
% 28.58/7.36 | (3463) ~ (all_0_230_230 = e11)
% 28.58/7.36 |
% 28.58/7.36 | Equations (3691) can reduce 3461 to:
% 28.58/7.36 | (537) $false
% 28.58/7.36 |
% 28.58/7.36 |-The branch is then unsatisfiable
% 28.58/7.36 |-Branch two:
% 28.58/7.36 | (3465) ~ (all_0_247_247 = e13) & ~ (all_0_251_251 = e12)
% 28.58/7.36 |
% 28.58/7.36 | Applying alpha-rule on (3465) yields:
% 28.58/7.36 | (1405) ~ (all_0_247_247 = e13)
% 28.58/7.36 | (1010) ~ (all_0_251_251 = e12)
% 28.58/7.36 |
% 28.58/7.36 | Equations (933) can reduce 1010 to:
% 28.58/7.36 | (537) $false
% 28.58/7.36 |
% 28.58/7.36 |-The branch is then unsatisfiable
% 28.58/7.36 |-Branch two:
% 28.58/7.36 | (1010) ~ (all_0_251_251 = e12)
% 28.58/7.36 | (1056) all_0_252_252 = e12
% 28.58/7.36 |
% 28.58/7.36 | Combining equations (918,1056) yields a new equation:
% 28.58/7.36 | (952) e12 = e10
% 28.58/7.36 |
% 28.58/7.36 | Equations (952) can reduce 8 to:
% 28.58/7.36 | (537) $false
% 28.58/7.36 |
% 28.58/7.36 |-The branch is then unsatisfiable
% 28.58/7.36 |-Branch two:
% 28.58/7.36 | (1405) ~ (all_0_247_247 = e13)
% 28.58/7.36 | (1454) all_0_247_247 = e12 | all_0_247_247 = e10
% 28.58/7.36 |
% 28.58/7.36 +-Applying beta-rule and splitting (1454), into two cases.
% 28.58/7.36 |-Branch one:
% 28.58/7.36 | (1051) all_0_247_247 = e12
% 28.58/7.36 |
% 28.58/7.36 | Equations (1051) can reduce 1150 to:
% 28.58/7.36 | (537) $false
% 28.58/7.36 |
% 28.58/7.36 |-The branch is then unsatisfiable
% 28.58/7.36 |-Branch two:
% 28.58/7.36 | (1150) ~ (all_0_247_247 = e12)
% 28.58/7.36 | (902) all_0_247_247 = e10
% 28.58/7.36 |
% 28.58/7.36 | Equations (902) can reduce 1025 to:
% 28.58/7.36 | (537) $false
% 28.58/7.36 |
% 28.58/7.36 |-The branch is then unsatisfiable
% 28.58/7.36 |-Branch two:
% 28.58/7.36 | (774) ~ (all_0_246_246 = e12)
% 28.58/7.36 | (1966) all_0_250_250 = e12 | all_0_254_254 = e12
% 28.58/7.36 |
% 28.58/7.36 +-Applying beta-rule and splitting (476), into two cases.
% 28.58/7.36 |-Branch one:
% 28.58/7.36 | (1152) all_0_250_250 = e12
% 28.58/7.36 |
% 28.58/7.36 | Combining equations (716,1152) yields a new equation:
% 28.58/7.36 | (772) e12 = e11
% 28.58/7.36 |
% 28.58/7.36 | Equations (772) can reduce 113 to:
% 28.58/7.36 | (537) $false
% 28.58/7.36 |
% 28.58/7.36 |-The branch is then unsatisfiable
% 28.58/7.36 |-Branch two:
% 28.58/7.36 | (1156) ~ (all_0_250_250 = e12)
% 28.58/7.36 | (1157) all_0_251_251 = e12 | all_0_252_252 = e12
% 28.58/7.36 |
% 28.58/7.36 | Equations (716) can reduce 1156 to:
% 28.58/7.36 | (698) ~ (e12 = e11)
% 28.58/7.36 |
% 28.58/7.36 | Simplifying 698 yields:
% 28.58/7.36 | (113) ~ (e12 = e11)
% 28.58/7.36 |
% 28.58/7.36 +-Applying beta-rule and splitting (1966), into two cases.
% 28.58/7.36 |-Branch one:
% 28.58/7.36 | (1152) all_0_250_250 = e12
% 28.58/7.36 |
% 28.58/7.36 | Combining equations (716,1152) yields a new equation:
% 28.58/7.36 | (772) e12 = e11
% 28.58/7.36 |
% 28.58/7.36 | Equations (772) can reduce 113 to:
% 28.58/7.36 | (537) $false
% 28.58/7.36 |
% 28.58/7.36 |-The branch is then unsatisfiable
% 28.58/7.36 |-Branch two:
% 28.58/7.36 | (1156) ~ (all_0_250_250 = e12)
% 28.58/7.36 | (798) all_0_254_254 = e12
% 28.58/7.36 |
% 28.58/7.36 | Combining equations (798,795) yields a new equation:
% 28.58/7.36 | (833) e13 = e12
% 28.58/7.36 |
% 28.58/7.36 | Equations (833) can reduce 305 to:
% 28.58/7.36 | (537) $false
% 28.58/7.36 |
% 28.58/7.36 |-The branch is then unsatisfiable
% 28.58/7.36 |-Branch two:
% 28.58/7.36 | (782) ~ (all_0_254_254 = e13)
% 28.58/7.36 | (836) all_0_255_255 = e13 | all_0_257_257 = e13
% 28.58/7.36 |
% 28.58/7.36 +-Applying beta-rule and splitting (794), into two cases.
% 28.58/7.36 |-Branch one:
% 28.58/7.36 | (795) all_0_254_254 = e13
% 28.58/7.36 |
% 28.58/7.36 | Equations (795) can reduce 782 to:
% 28.58/7.36 | (537) $false
% 28.58/7.36 |
% 28.58/7.36 |-The branch is then unsatisfiable
% 28.58/7.36 |-Branch two:
% 28.58/7.36 | (782) ~ (all_0_254_254 = e13)
% 28.58/7.36 | (798) all_0_254_254 = e12
% 28.58/7.36 |
% 28.58/7.36 | Equations (798) can reduce 1426 to:
% 28.58/7.36 | (537) $false
% 28.58/7.36 |
% 28.58/7.36 |-The branch is then unsatisfiable
% 28.58/7.36 |-Branch two:
% 28.58/7.36 | (864) ~ (all_0_249_249 = e10)
% 28.58/7.36 | (865) all_0_253_253 = e10 | all_0_257_257 = e10
% 28.58/7.36 |
% 28.58/7.36 +-Applying beta-rule and splitting (865), into two cases.
% 28.58/7.36 |-Branch one:
% 28.58/7.36 | (866) all_0_253_253 = e10
% 28.58/7.36 |
% 28.58/7.36 | Equations (866) can reduce 870 to:
% 28.58/7.36 | (537) $false
% 28.58/7.36 |
% 28.58/7.36 |-The branch is then unsatisfiable
% 28.58/7.36 |-Branch two:
% 28.58/7.36 | (870) ~ (all_0_253_253 = e10)
% 28.58/7.36 | (871) all_0_257_257 = e10
% 28.58/7.36 |
% 28.58/7.36 | Combining equations (871,1505) yields a new equation:
% 28.58/7.36 | (868) e11 = e10
% 28.58/7.36 |
% 28.58/7.36 | Equations (868) can reduce 293 to:
% 28.58/7.36 | (537) $false
% 28.58/7.36 |
% 28.58/7.36 |-The branch is then unsatisfiable
% 28.58/7.36 |-Branch two:
% 28.58/7.36 | (1020) ~ (all_0_252_252 = e10)
% 28.58/7.36 | (1021) all_0_256_256 = e10
% 28.58/7.36 |
% 28.58/7.36 | Combining equations (1676,1021) yields a new equation:
% 28.58/7.36 | (1159) e12 = e10
% 28.58/7.36 |
% 28.58/7.36 | Simplifying 1159 yields:
% 28.58/7.36 | (952) e12 = e10
% 28.58/7.36 |
% 28.58/7.36 | Equations (952) can reduce 8 to:
% 28.58/7.36 | (537) $false
% 28.58/7.36 |
% 28.58/7.36 |-The branch is then unsatisfiable
% 28.58/7.36 |-Branch two:
% 28.58/7.36 | (2009) ~ (all_0_256_256 = e12)
% 28.58/7.36 | (1021) all_0_256_256 = e10
% 28.58/7.36 |
% 28.58/7.36 | Equations (1021) can reduce 1521 to:
% 28.58/7.36 | (537) $false
% 28.58/7.36 |
% 28.58/7.36 |-The branch is then unsatisfiable
% 28.58/7.36 |-Branch two:
% 28.58/7.36 | (1498) ~ (all_0_255_255 = e10)
% 28.58/7.36 | (1499) all_0_256_256 = e10 | all_0_257_257 = e10
% 28.58/7.36 |
% 28.58/7.36 +-Applying beta-rule and splitting (1499), into two cases.
% 28.58/7.36 |-Branch one:
% 28.58/7.36 | (1021) all_0_256_256 = e10
% 28.58/7.36 |
% 28.70/7.36 | Combining equations (1021,3591) yields a new equation:
% 28.70/7.36 | (3879) all_0_233_233 = e10
% 28.70/7.36 |
% 28.70/7.36 | Equations (1021) can reduce 162 to:
% 28.70/7.36 | (1020) ~ (all_0_252_252 = e10)
% 28.70/7.36 |
% 28.70/7.36 | Equations (1021) can reduce 211 to:
% 28.70/7.36 | (142) ~ (all_0_254_254 = e10)
% 28.70/7.36 |
% 28.70/7.36 | Equations (1021) can reduce 312 to:
% 28.70/7.36 | (1498) ~ (all_0_255_255 = e10)
% 28.70/7.36 |
% 28.70/7.36 | Equations (1021) can reduce 36 to:
% 28.70/7.36 | (872) ~ (e13 = e10)
% 28.70/7.36 |
% 28.70/7.36 | Simplifying 872 yields:
% 28.70/7.36 | (210) ~ (e13 = e10)
% 28.70/7.36 |
% 28.70/7.36 | From (1021) and (193) follows:
% 28.70/7.36 | (3885) op1(e13, e10) = all_0_195_195
% 28.70/7.36 |
% 28.70/7.36 +-Applying beta-rule and splitting (141), into two cases.
% 28.70/7.36 |-Branch one:
% 28.70/7.36 | (738) all_0_252_252 = e11
% 28.70/7.36 |
% 28.70/7.36 | Equations (738) can reduce 697 to:
% 28.70/7.36 | (537) $false
% 28.70/7.36 |
% 28.70/7.36 |-The branch is then unsatisfiable
% 28.70/7.36 |-Branch two:
% 28.70/7.36 | (697) ~ (all_0_252_252 = e11)
% 28.70/7.36 | (769) all_0_252_252 = e12 | all_0_252_252 = e10
% 28.70/7.36 |
% 28.70/7.36 +-Applying beta-rule and splitting (1014), into two cases.
% 28.70/7.36 |-Branch one:
% 28.70/7.36 | (1056) all_0_252_252 = e12
% 28.70/7.36 |
% 28.70/7.36 | Equations (1056) can reduce 458 to:
% 28.70/7.36 | (1010) ~ (all_0_251_251 = e12)
% 28.70/7.36 |
% 28.70/7.36 | Equations (1056) can reduce 25 to:
% 28.70/7.36 | (2658) ~ (all_0_253_253 = e12)
% 28.70/7.36 |
% 28.70/7.36 | Simplifying 2658 yields:
% 28.70/7.36 | (46) ~ (all_0_253_253 = e12)
% 28.70/7.36 |
% 28.70/7.36 | Equations (1056) can reduce 697 to:
% 28.70/7.37 | (113) ~ (e12 = e11)
% 28.70/7.37 |
% 28.70/7.37 | Equations (1056) can reduce 1020 to:
% 28.70/7.37 | (8) ~ (e12 = e10)
% 28.70/7.37 |
% 28.70/7.37 | From (1056) and (190) follows:
% 28.70/7.37 | (1061) op1(e12, e12) = all_0_218_218
% 28.70/7.37 |
% 28.70/7.37 | From (1056) and (319) follows:
% 28.70/7.37 | (3897) op1(e12, e11) = all_0_217_217
% 28.70/7.37 |
% 28.70/7.37 | From (1056) and (423) follows:
% 28.70/7.37 | (2662) op1(e13, e12) = all_0_183_183
% 28.70/7.37 |
% 28.70/7.37 | From (1056) and (435) follows:
% 28.70/7.37 | (1062) op1(e12, e12) = all_0_219_219
% 28.70/7.37 |
% 28.70/7.37 | From (1056) and (136) follows:
% 28.70/7.37 | (3900) op1(e12, e11) = e12
% 28.70/7.37 |
% 28.70/7.37 | From (1056) and (369) follows:
% 28.70/7.37 | (2663) op1(e11, e12) = all_0_184_184
% 28.70/7.37 |
% 28.70/7.37 | From (1056) and (80) follows:
% 28.70/7.37 | (3002) op1(e10, e12) = all_0_185_185
% 28.70/7.37 |
% 28.70/7.37 | Instantiating formula (144) with e13, e12, all_0_183_183, all_0_247_247 and discharging atoms op1(e13, e12) = all_0_183_183, op1(e13, e12) = all_0_247_247, yields:
% 28.70/7.37 | (3903) all_0_183_183 = all_0_247_247
% 28.70/7.37 |
% 28.70/7.37 | Instantiating formula (144) with e13, e10, all_0_195_195, all_0_249_249 and discharging atoms op1(e13, e10) = all_0_195_195, op1(e13, e10) = all_0_249_249, yields:
% 28.70/7.37 | (3904) all_0_195_195 = all_0_249_249
% 28.70/7.37 |
% 28.70/7.37 | Instantiating formula (144) with e12, e12, all_0_218_218, all_0_251_251 and discharging atoms op1(e12, e12) = all_0_218_218, op1(e12, e12) = all_0_251_251, yields:
% 28.70/7.37 | (3019) all_0_218_218 = all_0_251_251
% 28.70/7.37 |
% 28.70/7.37 | Instantiating formula (144) with e12, e12, all_0_219_219, all_0_218_218 and discharging atoms op1(e12, e12) = all_0_218_218, op1(e12, e12) = all_0_219_219, yields:
% 28.70/7.37 | (1072) all_0_218_218 = all_0_219_219
% 28.70/7.37 |
% 28.70/7.37 | Instantiating formula (144) with e12, e11, e12, all_0_217_217 and discharging atoms op1(e12, e11) = all_0_217_217, op1(e12, e11) = e12, yields:
% 28.70/7.37 | (3907) all_0_217_217 = e12
% 28.70/7.37 |
% 28.70/7.37 | Instantiating formula (144) with e11, e12, all_0_184_184, all_0_255_255 and discharging atoms op1(e11, e12) = all_0_184_184, op1(e11, e12) = all_0_255_255, yields:
% 28.70/7.37 | (3908) all_0_184_184 = all_0_255_255
% 28.70/7.37 |
% 28.70/7.37 | Instantiating formula (144) with e10, e12, all_0_185_185, e11 and discharging atoms op1(e10, e12) = all_0_185_185, op1(e10, e12) = e11, yields:
% 28.70/7.37 | (3016) all_0_185_185 = e11
% 28.70/7.37 |
% 28.70/7.37 | Combining equations (3019,1072) yields a new equation:
% 28.70/7.37 | (3910) all_0_219_219 = all_0_251_251
% 28.70/7.37 |
% 28.70/7.37 | Combining equations (3910,1072) yields a new equation:
% 28.70/7.37 | (3019) all_0_218_218 = all_0_251_251
% 28.70/7.37 |
% 28.70/7.37 | From (3903) and (2662) follows:
% 28.70/7.37 | (62) op1(e13, e12) = all_0_247_247
% 28.70/7.37 |
% 28.70/7.37 | From (3904) and (3885) follows:
% 28.70/7.37 | (260) op1(e13, e10) = all_0_249_249
% 28.70/7.37 |
% 28.70/7.37 | From (3907) and (3897) follows:
% 28.70/7.37 | (3900) op1(e12, e11) = e12
% 28.70/7.37 |
% 28.70/7.37 | From (3908) and (2663) follows:
% 28.70/7.37 | (126) op1(e11, e12) = all_0_255_255
% 28.70/7.37 |
% 28.70/7.37 | From (3016) and (3002) follows:
% 28.70/7.37 | (21) op1(e10, e12) = e11
% 28.70/7.37 |
% 28.70/7.37 +-Applying beta-rule and splitting (372), into two cases.
% 28.70/7.37 |-Branch one:
% 28.70/7.37 | (1011) all_0_251_251 = e10
% 28.70/7.37 |
% 28.70/7.37 | Combining equations (1011,3019) yields a new equation:
% 28.70/7.37 | (1067) all_0_218_218 = e10
% 28.70/7.37 |
% 28.70/7.37 | Equations (1011) can reduce 23 to:
% 28.70/7.37 | (3166) ~ (all_0_253_253 = e10)
% 28.70/7.37 |
% 28.70/7.37 | Simplifying 3166 yields:
% 28.70/7.37 | (870) ~ (all_0_253_253 = e10)
% 28.70/7.37 |
% 28.70/7.37 | Equations (1011) can reduce 481 to:
% 28.70/7.37 | (3294) ~ (all_0_255_255 = e10)
% 28.70/7.37 |
% 28.70/7.37 | Simplifying 3294 yields:
% 28.70/7.37 | (1498) ~ (all_0_255_255 = e10)
% 28.70/7.37 |
% 28.70/7.37 | Equations (1011) can reduce 108 to:
% 28.70/7.37 | (906) ~ (e11 = e10)
% 28.70/7.37 |
% 28.70/7.37 | Simplifying 906 yields:
% 28.70/7.37 | (293) ~ (e11 = e10)
% 28.70/7.37 |
% 28.70/7.37 | From (1011) and (239) follows:
% 28.70/7.37 | (3925) op1(e13, e10) = all_0_180_180
% 28.70/7.37 |
% 28.70/7.37 +-Applying beta-rule and splitting (214), into two cases.
% 28.70/7.37 |-Branch one:
% 28.70/7.37 | (776) all_0_250_250 = e13
% 28.70/7.37 |
% 28.70/7.37 | Combining equations (716,776) yields a new equation:
% 28.70/7.37 | (959) e13 = e11
% 28.70/7.37 |
% 28.70/7.37 | Equations (959) can reduce 446 to:
% 28.70/7.37 | (537) $false
% 28.70/7.37 |
% 28.70/7.37 |-The branch is then unsatisfiable
% 28.70/7.37 |-Branch two:
% 28.70/7.37 | (1417) ~ (all_0_250_250 = e13)
% 28.70/7.37 | (1418) all_0_251_251 = e13 | all_0_253_253 = e13
% 28.70/7.37 |
% 28.70/7.37 | Equations (716) can reduce 1417 to:
% 28.70/7.37 | (748) ~ (e13 = e11)
% 28.70/7.37 |
% 28.70/7.37 | Simplifying 748 yields:
% 28.70/7.37 | (446) ~ (e13 = e11)
% 28.70/7.37 |
% 28.70/7.37 +-Applying beta-rule and splitting (45), into two cases.
% 28.70/7.37 |-Branch one:
% 28.70/7.37 | (861) all_0_249_249 = e10
% 28.70/7.37 |
% 28.70/7.37 | Equations (861) can reduce 428 to:
% 28.70/7.37 | (116) ~ (all_0_246_246 = e10)
% 28.70/7.37 |
% 28.70/7.37 | Equations (861) can reduce 457 to:
% 28.70/7.37 | (1025) ~ (all_0_247_247 = e10)
% 28.70/7.37 |
% 28.70/7.37 | Equations (861) can reduce 694 to:
% 28.70/7.37 | (906) ~ (e11 = e10)
% 28.70/7.37 |
% 28.70/7.37 | Simplifying 906 yields:
% 28.70/7.37 | (293) ~ (e11 = e10)
% 28.70/7.37 |
% 28.70/7.37 | From (861) and (209) follows:
% 28.70/7.37 | (1285) op1(e13, e10) = all_0_211_211
% 28.70/7.37 |
% 28.70/7.37 | From (861) and (260) follows:
% 28.70/7.37 | (1286) op1(e13, e10) = e10
% 28.70/7.37 |
% 28.70/7.37 +-Applying beta-rule and splitting (124), into two cases.
% 28.70/7.37 |-Branch one:
% 28.70/7.37 | (850) all_0_249_249 = e13
% 28.70/7.37 |
% 28.70/7.37 | Combining equations (861,850) yields a new equation:
% 28.70/7.37 | (862) e13 = e10
% 28.70/7.37 |
% 28.70/7.37 | Equations (862) can reduce 210 to:
% 28.70/7.37 | (537) $false
% 28.70/7.37 |
% 28.70/7.37 |-The branch is then unsatisfiable
% 28.70/7.37 |-Branch two:
% 28.70/7.37 | (1181) ~ (all_0_249_249 = e13)
% 28.70/7.37 | (1182) all_0_253_253 = e13 | all_0_257_257 = e13
% 28.70/7.37 |
% 28.70/7.37 +-Applying beta-rule and splitting (1182), into two cases.
% 28.70/7.37 |-Branch one:
% 28.70/7.37 | (1183) all_0_253_253 = e13
% 28.70/7.37 |
% 28.70/7.37 | Equations (1183) can reduce 46 to:
% 28.70/7.37 | (305) ~ (e13 = e12)
% 28.70/7.37 |
% 28.70/7.37 | Equations (1183) can reduce 2525 to:
% 28.70/7.37 | (446) ~ (e13 = e11)
% 28.70/7.37 |
% 28.70/7.37 | From (1183) and (366) follows:
% 28.70/7.37 | (2727) op1(e13, e12) = all_0_221_221
% 28.70/7.37 |
% 28.70/7.37 | From (1183) and (317) follows:
% 28.70/7.37 | (2728) op1(e13, e13) = all_0_186_186
% 28.70/7.37 |
% 28.70/7.37 | From (1183) and (123) follows:
% 28.70/7.37 | (3950) op1(e12, e13) = all_0_222_222
% 28.70/7.37 |
% 28.70/7.37 | Instantiating formula (144) with e13, e13, all_0_186_186, all_0_246_246 and discharging atoms op1(e13, e13) = all_0_186_186, op1(e13, e13) = all_0_246_246, yields:
% 28.70/7.37 | (3951) all_0_186_186 = all_0_246_246
% 28.70/7.37 |
% 28.70/7.37 | Instantiating formula (144) with e13, e12, all_0_221_221, all_0_247_247 and discharging atoms op1(e13, e12) = all_0_221_221, op1(e13, e12) = all_0_247_247, yields:
% 28.70/7.37 | (3952) all_0_221_221 = all_0_247_247
% 28.70/7.37 |
% 28.70/7.37 | Instantiating formula (144) with e13, e10, all_0_211_211, all_0_180_180 and discharging atoms op1(e13, e10) = all_0_180_180, op1(e13, e10) = all_0_211_211, yields:
% 28.70/7.37 | (3953) all_0_180_180 = all_0_211_211
% 28.70/7.37 |
% 28.70/7.37 | Instantiating formula (144) with e13, e10, e10, all_0_180_180 and discharging atoms op1(e13, e10) = all_0_180_180, op1(e13, e10) = e10, yields:
% 28.70/7.37 | (3954) all_0_180_180 = e10
% 28.70/7.37 |
% 28.70/7.37 | Instantiating formula (144) with e12, e13, all_0_222_222, e11 and discharging atoms op1(e12, e13) = all_0_222_222, op1(e12, e13) = e11, yields:
% 28.70/7.37 | (3955) all_0_222_222 = e11
% 28.70/7.37 |
% 28.70/7.37 | Combining equations (3953,3954) yields a new equation:
% 28.70/7.37 | (3956) all_0_211_211 = e10
% 28.70/7.37 |
% 28.70/7.37 | Simplifying 3956 yields:
% 28.70/7.37 | (1321) all_0_211_211 = e10
% 28.70/7.37 |
% 28.70/7.37 | From (3951) and (2728) follows:
% 28.70/7.37 | (367) op1(e13, e13) = all_0_246_246
% 28.70/7.37 |
% 28.70/7.37 | From (3955) and (3950) follows:
% 28.70/7.38 | (2540) op1(e12, e13) = e11
% 28.70/7.38 |
% 28.70/7.38 +-Applying beta-rule and splitting (125), into two cases.
% 28.70/7.38 |-Branch one:
% 28.70/7.38 | (1465) all_0_246_246 = e13
% 28.70/7.38 |
% 28.70/7.38 | Equations (1465) can reduce 248 to:
% 28.70/7.38 | (2936) ~ (all_0_247_247 = e13)
% 28.70/7.38 |
% 28.70/7.38 | Simplifying 2936 yields:
% 28.70/7.38 | (1405) ~ (all_0_247_247 = e13)
% 28.70/7.38 |
% 28.70/7.38 | Equations (1465) can reduce 236 to:
% 28.70/7.38 | (781) ~ (all_0_254_254 = e13)
% 28.70/7.38 |
% 28.70/7.38 | Simplifying 781 yields:
% 28.70/7.38 | (782) ~ (all_0_254_254 = e13)
% 28.70/7.38 |
% 28.70/7.38 | Equations (1465) can reduce 1692 to:
% 28.70/7.38 | (446) ~ (e13 = e11)
% 28.70/7.38 |
% 28.70/7.38 | From (1465) and (55) follows:
% 28.70/7.38 | (2941) op1(e12, e13) = all_0_165_165
% 28.70/7.38 |
% 28.70/7.38 +-Applying beta-rule and splitting (189), into two cases.
% 28.70/7.38 |-Branch one:
% 28.70/7.38 | (1191) all_0_247_247 = e13
% 28.70/7.38 |
% 28.70/7.38 | Equations (1191) can reduce 1405 to:
% 28.70/7.38 | (537) $false
% 28.70/7.38 |
% 28.70/7.38 |-The branch is then unsatisfiable
% 28.70/7.38 |-Branch two:
% 28.70/7.38 | (1405) ~ (all_0_247_247 = e13)
% 28.70/7.38 | (1406) all_0_251_251 = e13 | all_0_255_255 = e13
% 28.70/7.38 |
% 28.70/7.38 +-Applying beta-rule and splitting (404), into two cases.
% 28.70/7.38 |-Branch one:
% 28.70/7.38 | (770) all_0_246_246 = e12
% 28.70/7.38 |
% 28.70/7.38 | Combining equations (1465,770) yields a new equation:
% 28.70/7.38 | (832) e13 = e12
% 28.70/7.38 |
% 28.70/7.38 | Simplifying 832 yields:
% 28.70/7.38 | (833) e13 = e12
% 28.70/7.38 |
% 28.70/7.38 | Equations (833) can reduce 305 to:
% 28.70/7.38 | (537) $false
% 28.70/7.38 |
% 28.70/7.38 |-The branch is then unsatisfiable
% 28.70/7.38 |-Branch two:
% 28.70/7.38 | (774) ~ (all_0_246_246 = e12)
% 28.70/7.38 | (1966) all_0_250_250 = e12 | all_0_254_254 = e12
% 28.70/7.38 |
% 28.70/7.38 +-Applying beta-rule and splitting (286), into two cases.
% 28.70/7.38 |-Branch one:
% 28.70/7.38 | (1191) all_0_247_247 = e13
% 28.70/7.38 |
% 28.70/7.38 | Equations (1191) can reduce 1405 to:
% 28.70/7.38 | (537) $false
% 28.70/7.38 |
% 28.70/7.38 |-The branch is then unsatisfiable
% 28.70/7.38 |-Branch two:
% 28.70/7.38 | (1405) ~ (all_0_247_247 = e13)
% 28.70/7.38 | (1454) all_0_247_247 = e12 | all_0_247_247 = e10
% 28.70/7.38 |
% 28.70/7.38 +-Applying beta-rule and splitting (251), into two cases.
% 28.70/7.38 |-Branch one:
% 28.70/7.38 | (795) all_0_254_254 = e13
% 28.70/7.38 |
% 28.70/7.38 | Equations (795) can reduce 782 to:
% 28.70/7.38 | (537) $false
% 28.70/7.38 |
% 28.70/7.38 |-The branch is then unsatisfiable
% 28.70/7.38 |-Branch two:
% 28.70/7.38 | (782) ~ (all_0_254_254 = e13)
% 28.70/7.38 | (836) all_0_255_255 = e13 | all_0_257_257 = e13
% 28.70/7.38 |
% 28.70/7.38 +-Applying beta-rule and splitting (836), into two cases.
% 28.70/7.38 |-Branch one:
% 28.70/7.38 | (839) all_0_255_255 = e13
% 28.70/7.38 |
% 28.70/7.38 | Equations (839) can reduce 240 to:
% 28.70/7.38 | (1405) ~ (all_0_247_247 = e13)
% 28.70/7.38 |
% 28.70/7.38 | From (839) and (299) follows:
% 28.70/7.38 | (845) op1(e13, e11) = all_0_227_227
% 28.70/7.38 |
% 28.70/7.38 | From (839) and (339) follows:
% 28.70/7.38 | (847) op1(e12, e13) = all_0_193_193
% 28.70/7.38 |
% 28.70/7.38 +-Applying beta-rule and splitting (329), into two cases.
% 28.70/7.38 |-Branch one:
% 28.70/7.38 | (798) all_0_254_254 = e12
% 28.70/7.38 |
% 28.70/7.38 | Combining equations (798,2545) yields a new equation:
% 28.70/7.38 | (1539) all_0_212_212 = e12
% 28.70/7.38 |
% 28.70/7.38 | Combining equations (798,3578) yields a new equation:
% 28.70/7.38 | (1587) all_0_207_207 = e12
% 28.70/7.38 |
% 28.70/7.38 | From (798) and (301) follows:
% 28.70/7.38 | (807) op1(e12, e11) = all_0_224_224
% 28.70/7.38 |
% 28.70/7.38 +-Applying beta-rule and splitting (58), into two cases.
% 28.70/7.38 |-Branch one:
% 28.70/7.38 | (1051) all_0_247_247 = e12
% 28.70/7.38 |
% 28.70/7.38 | Combining equations (1051,3952) yields a new equation:
% 28.70/7.38 | (1472) all_0_221_221 = e12
% 28.70/7.38 |
% 28.70/7.38 | Equations (1051) can reduce 1405 to:
% 28.70/7.38 | (803) ~ (e13 = e12)
% 28.70/7.38 |
% 28.70/7.38 | Simplifying 803 yields:
% 28.70/7.38 | (305) ~ (e13 = e12)
% 28.70/7.38 |
% 28.70/7.38 | Equations (1051) can reduce 101 to:
% 28.70/7.38 | (113) ~ (e12 = e11)
% 28.70/7.38 |
% 28.70/7.38 | Equations (1051) can reduce 1025 to:
% 28.70/7.38 | (8) ~ (e12 = e10)
% 28.70/7.38 |
% 28.70/7.38 | From (1051) and (289) follows:
% 28.70/7.38 | (1053) op1(e12, e13) = all_0_204_204
% 28.70/7.38 |
% 28.70/7.38 | Instantiating formula (144) with e13, e11, all_0_227_227, e11 and discharging atoms op1(e13, e11) = all_0_227_227, op1(e13, e11) = e11, yields:
% 28.70/7.38 | (1862) all_0_227_227 = e11
% 28.70/7.38 |
% 28.70/7.38 | Instantiating formula (144) with e12, e13, all_0_165_165, e11 and discharging atoms op1(e12, e13) = all_0_165_165, op1(e12, e13) = e11, yields:
% 28.70/7.38 | (2945) all_0_165_165 = e11
% 28.70/7.38 |
% 28.70/7.38 | Instantiating formula (144) with e12, e13, all_0_193_193, all_0_165_165 and discharging atoms op1(e12, e13) = all_0_165_165, op1(e12, e13) = all_0_193_193, yields:
% 28.70/7.38 | (2756) all_0_165_165 = all_0_193_193
% 28.70/7.38 |
% 28.70/7.38 | Instantiating formula (144) with e12, e13, all_0_204_204, all_0_165_165 and discharging atoms op1(e12, e13) = all_0_165_165, op1(e12, e13) = all_0_204_204, yields:
% 28.70/7.38 | (4003) all_0_165_165 = all_0_204_204
% 28.70/7.38 |
% 28.70/7.38 | Instantiating formula (144) with e12, e11, all_0_224_224, e12 and discharging atoms op1(e12, e11) = all_0_224_224, op1(e12, e11) = e12, yields:
% 28.70/7.38 | (1057) all_0_224_224 = e12
% 28.70/7.38 |
% 28.70/7.38 | Combining equations (2945,2756) yields a new equation:
% 28.70/7.38 | (1310) all_0_193_193 = e11
% 28.70/7.38 |
% 28.70/7.38 | Combining equations (4003,2756) yields a new equation:
% 28.70/7.38 | (4006) all_0_193_193 = all_0_204_204
% 28.70/7.38 |
% 28.70/7.38 | Combining equations (4006,1310) yields a new equation:
% 28.70/7.38 | (1324) all_0_204_204 = e11
% 28.70/7.38 |
% 28.70/7.38 | Simplifying 1324 yields:
% 28.70/7.38 | (1325) all_0_204_204 = e11
% 28.70/7.38 |
% 28.70/7.38 +-Applying beta-rule and splitting (257), into two cases.
% 28.70/7.38 |-Branch one:
% 28.70/7.38 | (940) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)) | (all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10))
% 28.70/7.38 |
% 28.70/7.38 +-Applying beta-rule and splitting (940), into two cases.
% 28.70/7.38 |-Branch one:
% 28.70/7.38 | (941) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12))
% 28.70/7.38 |
% 28.70/7.38 +-Applying beta-rule and splitting (941), into two cases.
% 28.70/7.38 |-Branch one:
% 28.70/7.38 | (942) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13))
% 28.70/7.38 |
% 28.70/7.38 +-Applying beta-rule and splitting (942), into two cases.
% 28.70/7.38 |-Branch one:
% 28.70/7.38 | (943) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10))
% 28.70/7.38 |
% 28.70/7.38 +-Applying beta-rule and splitting (943), into two cases.
% 28.70/7.38 |-Branch one:
% 28.70/7.38 | (944) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11))
% 28.70/7.38 |
% 28.70/7.38 +-Applying beta-rule and splitting (944), into two cases.
% 28.70/7.38 |-Branch one:
% 28.70/7.38 | (945) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13))
% 28.70/7.38 |
% 28.70/7.38 +-Applying beta-rule and splitting (945), into two cases.
% 28.70/7.38 |-Branch one:
% 28.70/7.38 | (946) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10))
% 28.70/7.38 |
% 28.70/7.38 +-Applying beta-rule and splitting (946), into two cases.
% 28.70/7.38 |-Branch one:
% 28.70/7.38 | (947) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11))
% 28.70/7.38 |
% 28.70/7.38 +-Applying beta-rule and splitting (947), into two cases.
% 28.70/7.38 |-Branch one:
% 28.70/7.38 | (948) all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)
% 28.70/7.38 |
% 28.70/7.38 | Applying alpha-rule on (948) yields:
% 28.70/7.38 | (949) all_0_204_204 = e12
% 28.70/7.38 | (950) ~ (all_0_203_203 = e13)
% 28.70/7.38 | (951) ~ (all_0_205_205 = e12)
% 28.70/7.38 |
% 28.70/7.38 | Combining equations (1325,949) yields a new equation:
% 28.70/7.38 | (772) e12 = e11
% 28.70/7.38 |
% 28.70/7.38 | Equations (772) can reduce 113 to:
% 28.70/7.38 | (537) $false
% 28.70/7.38 |
% 28.70/7.38 |-The branch is then unsatisfiable
% 28.70/7.38 |-Branch two:
% 28.70/7.38 | (954) all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)
% 28.70/7.38 |
% 28.70/7.38 | Applying alpha-rule on (954) yields:
% 28.70/7.38 | (955) all_0_207_207 = e11
% 28.70/7.38 | (956) ~ (all_0_206_206 = e13)
% 28.70/7.38 | (957) ~ (all_0_208_208 = e11)
% 28.70/7.38 |
% 28.70/7.38 | Combining equations (1587,955) yields a new equation:
% 28.70/7.38 | (771) e12 = e11
% 28.70/7.38 |
% 28.70/7.38 | Simplifying 771 yields:
% 28.70/7.38 | (772) e12 = e11
% 28.70/7.38 |
% 28.70/7.38 | Equations (772) can reduce 113 to:
% 28.70/7.38 | (537) $false
% 28.70/7.38 |
% 28.70/7.38 |-The branch is then unsatisfiable
% 28.70/7.38 |-Branch two:
% 28.70/7.38 | (961) all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)
% 28.70/7.38 |
% 28.70/7.38 | Applying alpha-rule on (961) yields:
% 28.70/7.38 | (962) all_0_210_210 = e10
% 28.70/7.38 | (963) ~ (all_0_209_209 = e13)
% 28.70/7.38 | (964) ~ (all_0_211_211 = e10)
% 28.70/7.38 |
% 28.70/7.38 | Equations (1321) can reduce 964 to:
% 28.70/7.38 | (537) $false
% 28.70/7.38 |
% 28.70/7.38 |-The branch is then unsatisfiable
% 28.70/7.38 |-Branch two:
% 28.70/7.38 | (968) all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)
% 28.70/7.38 |
% 28.70/7.38 | Applying alpha-rule on (968) yields:
% 28.70/7.38 | (969) all_0_213_213 = e13
% 28.70/7.38 | (970) ~ (all_0_212_212 = e12)
% 28.70/7.38 | (971) ~ (all_0_214_214 = e13)
% 28.70/7.38 |
% 28.70/7.38 | Equations (1539) can reduce 970 to:
% 28.70/7.38 | (537) $false
% 28.70/7.38 |
% 28.70/7.38 |-The branch is then unsatisfiable
% 28.70/7.38 |-Branch two:
% 28.70/7.38 | (974) all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)
% 28.70/7.38 |
% 28.70/7.38 | Applying alpha-rule on (974) yields:
% 28.70/7.38 | (975) all_0_218_218 = e11
% 28.70/7.38 | (976) ~ (all_0_217_217 = e12)
% 28.70/7.38 | (977) ~ (all_0_219_219 = e11)
% 28.70/7.38 |
% 28.70/7.38 | Combining equations (1067,975) yields a new equation:
% 28.70/7.38 | (868) e11 = e10
% 28.70/7.38 |
% 28.70/7.38 | Equations (868) can reduce 293 to:
% 28.70/7.38 | (537) $false
% 28.70/7.38 |
% 28.70/7.38 |-The branch is then unsatisfiable
% 28.70/7.38 |-Branch two:
% 28.70/7.38 | (979) all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)
% 28.70/7.38 |
% 28.70/7.38 | Applying alpha-rule on (979) yields:
% 28.70/7.39 | (980) all_0_221_221 = e10
% 28.70/7.39 | (981) ~ (all_0_220_220 = e12)
% 28.70/7.39 | (982) ~ (all_0_222_222 = e10)
% 28.70/7.39 |
% 28.70/7.39 | Combining equations (1472,980) yields a new equation:
% 28.70/7.39 | (1159) e12 = e10
% 28.70/7.39 |
% 28.70/7.39 | Simplifying 1159 yields:
% 28.70/7.39 | (952) e12 = e10
% 28.70/7.39 |
% 28.70/7.39 | Equations (952) can reduce 8 to:
% 28.70/7.39 | (537) $false
% 28.70/7.39 |
% 28.70/7.39 |-The branch is then unsatisfiable
% 28.70/7.39 |-Branch two:
% 28.70/7.39 | (986) all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)
% 28.70/7.39 |
% 28.70/7.39 | Applying alpha-rule on (986) yields:
% 28.70/7.39 | (987) all_0_224_224 = e13
% 28.70/7.39 | (988) ~ (all_0_223_223 = e11)
% 28.70/7.39 | (989) ~ (all_0_225_225 = e13)
% 28.70/7.39 |
% 28.70/7.39 | Combining equations (1057,987) yields a new equation:
% 28.70/7.39 | (833) e13 = e12
% 28.70/7.39 |
% 28.70/7.39 | Equations (833) can reduce 305 to:
% 28.70/7.39 | (537) $false
% 28.70/7.39 |
% 28.70/7.39 |-The branch is then unsatisfiable
% 28.70/7.39 |-Branch two:
% 28.70/7.39 | (992) all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)
% 28.70/7.39 |
% 28.70/7.39 | Applying alpha-rule on (992) yields:
% 28.70/7.39 | (993) all_0_227_227 = e12
% 28.70/7.39 | (994) ~ (all_0_226_226 = e11)
% 28.70/7.39 | (995) ~ (all_0_228_228 = e12)
% 28.70/7.39 |
% 28.70/7.39 | Combining equations (1862,993) yields a new equation:
% 28.70/7.39 | (772) e12 = e11
% 28.70/7.39 |
% 28.70/7.39 | Equations (772) can reduce 113 to:
% 28.70/7.39 | (537) $false
% 28.70/7.39 |
% 28.70/7.39 |-The branch is then unsatisfiable
% 28.70/7.39 |-Branch two:
% 28.70/7.39 | (997) all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10)
% 28.70/7.39 |
% 28.70/7.39 | Applying alpha-rule on (997) yields:
% 28.70/7.39 | (998) all_0_232_232 = e10
% 28.70/7.39 | (999) ~ (all_0_231_231 = e11)
% 28.70/7.39 | (1000) ~ (all_0_233_233 = e10)
% 28.70/7.39 |
% 28.70/7.39 | Equations (3879) can reduce 1000 to:
% 28.70/7.39 | (537) $false
% 28.70/7.39 |
% 28.70/7.39 |-The branch is then unsatisfiable
% 28.70/7.39 |-Branch two:
% 28.70/7.39 | (1004) all_0_249_249 = e11 & ~ (all_0_248_248 = e10)
% 28.70/7.39 |
% 28.70/7.39 | Applying alpha-rule on (1004) yields:
% 28.70/7.39 | (1005) all_0_249_249 = e11
% 28.70/7.39 | (905) ~ (all_0_248_248 = e10)
% 28.70/7.39 |
% 28.70/7.39 | Combining equations (1005,861) yields a new equation:
% 28.70/7.39 | (867) e11 = e10
% 28.70/7.39 |
% 28.70/7.39 | Simplifying 867 yields:
% 28.70/7.39 | (868) e11 = e10
% 28.70/7.39 |
% 28.70/7.39 | Equations (868) can reduce 293 to:
% 28.70/7.39 | (537) $false
% 28.70/7.39 |
% 28.70/7.39 |-The branch is then unsatisfiable
% 28.70/7.39 |-Branch two:
% 28.70/7.39 | (1150) ~ (all_0_247_247 = e12)
% 28.70/7.39 | (1151) all_0_251_251 = e12 | all_0_255_255 = e12
% 28.70/7.39 |
% 28.70/7.39 +-Applying beta-rule and splitting (1454), into two cases.
% 28.70/7.39 |-Branch one:
% 28.70/7.39 | (1051) all_0_247_247 = e12
% 28.70/7.39 |
% 28.70/7.39 | Equations (1051) can reduce 1150 to:
% 28.70/7.39 | (537) $false
% 28.70/7.39 |
% 28.70/7.39 |-The branch is then unsatisfiable
% 28.70/7.39 |-Branch two:
% 28.70/7.39 | (1150) ~ (all_0_247_247 = e12)
% 28.70/7.39 | (902) all_0_247_247 = e10
% 28.70/7.39 |
% 28.70/7.39 | Equations (902) can reduce 1025 to:
% 28.70/7.39 | (537) $false
% 28.70/7.39 |
% 28.70/7.39 |-The branch is then unsatisfiable
% 28.70/7.39 |-Branch two:
% 28.70/7.39 | (1426) ~ (all_0_254_254 = e12)
% 28.70/7.39 | (1443) all_0_255_255 = e12 | all_0_256_256 = e12
% 28.70/7.39 |
% 28.70/7.39 +-Applying beta-rule and splitting (1966), into two cases.
% 28.70/7.39 |-Branch one:
% 28.70/7.39 | (1152) all_0_250_250 = e12
% 28.70/7.39 |
% 28.70/7.39 | Combining equations (716,1152) yields a new equation:
% 28.70/7.39 | (772) e12 = e11
% 28.70/7.39 |
% 28.70/7.39 | Equations (772) can reduce 113 to:
% 28.70/7.39 | (537) $false
% 28.70/7.39 |
% 28.70/7.39 |-The branch is then unsatisfiable
% 28.70/7.39 |-Branch two:
% 28.70/7.39 | (1156) ~ (all_0_250_250 = e12)
% 28.70/7.39 | (798) all_0_254_254 = e12
% 28.70/7.39 |
% 28.70/7.39 | Equations (798) can reduce 1426 to:
% 28.70/7.39 | (537) $false
% 28.70/7.39 |
% 28.70/7.39 |-The branch is then unsatisfiable
% 28.70/7.39 |-Branch two:
% 28.70/7.39 | (1189) ~ (all_0_255_255 = e13)
% 28.70/7.39 | (1187) all_0_257_257 = e13
% 28.70/7.39 |
% 28.70/7.39 | Combining equations (1187,1505) yields a new equation:
% 28.70/7.39 | (958) e13 = e11
% 28.70/7.39 |
% 28.70/7.39 | Simplifying 958 yields:
% 28.70/7.39 | (959) e13 = e11
% 28.70/7.39 |
% 28.70/7.39 | Equations (959) can reduce 446 to:
% 28.70/7.39 | (537) $false
% 28.70/7.39 |
% 28.70/7.39 |-The branch is then unsatisfiable
% 28.70/7.39 |-Branch two:
% 28.70/7.39 | (1469) ~ (all_0_246_246 = e13)
% 28.70/7.39 | (1787) all_0_250_250 = e13 | all_0_254_254 = e13
% 28.70/7.39 |
% 28.70/7.39 +-Applying beta-rule and splitting (1787), into two cases.
% 28.70/7.39 |-Branch one:
% 28.70/7.39 | (776) all_0_250_250 = e13
% 28.70/7.39 |
% 28.70/7.39 | Combining equations (716,776) yields a new equation:
% 28.70/7.39 | (959) e13 = e11
% 28.70/7.39 |
% 28.70/7.39 | Equations (959) can reduce 446 to:
% 28.70/7.39 | (537) $false
% 28.70/7.39 |
% 28.70/7.39 |-The branch is then unsatisfiable
% 28.70/7.39 |-Branch two:
% 28.70/7.39 | (1417) ~ (all_0_250_250 = e13)
% 28.70/7.39 | (795) all_0_254_254 = e13
% 28.70/7.39 |
% 28.70/7.39 | Combining equations (795,3578) yields a new equation:
% 28.70/7.39 | (935) all_0_207_207 = e13
% 28.70/7.39 |
% 28.70/7.39 | Equations (795) can reduce 12 to:
% 28.70/7.39 | (1196) ~ (all_0_255_255 = e13)
% 28.70/7.39 |
% 28.70/7.39 | Simplifying 1196 yields:
% 28.70/7.39 | (1189) ~ (all_0_255_255 = e13)
% 28.70/7.39 |
% 28.70/7.39 | Equations (795) can reduce 142 to:
% 28.70/7.39 | (210) ~ (e13 = e10)
% 28.70/7.39 |
% 28.70/7.39 | From (795) and (301) follows:
% 28.70/7.39 | (1514) op1(e13, e11) = all_0_224_224
% 28.70/7.39 |
% 28.70/7.39 | From (795) and (420) follows:
% 28.70/7.39 | (1515) op1(e13, e13) = all_0_189_189
% 28.70/7.39 |
% 28.70/7.39 +-Applying beta-rule and splitting (189), into two cases.
% 28.70/7.39 |-Branch one:
% 28.70/7.39 | (1191) all_0_247_247 = e13
% 28.70/7.39 |
% 28.70/7.39 | Combining equations (1191,3952) yields a new equation:
% 28.70/7.39 | (840) all_0_221_221 = e13
% 28.70/7.39 |
% 28.70/7.39 | Equations (1191) can reduce 240 to:
% 28.70/7.39 | (1196) ~ (all_0_255_255 = e13)
% 28.70/7.39 |
% 28.70/7.39 | Simplifying 1196 yields:
% 28.70/7.39 | (1189) ~ (all_0_255_255 = e13)
% 28.70/7.39 |
% 28.70/7.39 | Equations (1191) can reduce 101 to:
% 28.70/7.39 | (446) ~ (e13 = e11)
% 28.70/7.39 |
% 28.70/7.39 | Equations (1191) can reduce 1025 to:
% 28.70/7.39 | (210) ~ (e13 = e10)
% 28.70/7.39 |
% 28.70/7.39 | From (1191) and (289) follows:
% 28.70/7.39 | (1198) op1(e13, e13) = all_0_204_204
% 28.70/7.39 |
% 28.70/7.39 | From (1191) and (213) follows:
% 28.70/7.39 | (2081) op1(e13, e13) = all_0_205_205
% 28.70/7.39 |
% 28.70/7.39 +-Applying beta-rule and splitting (58), into two cases.
% 28.70/7.39 |-Branch one:
% 28.70/7.39 | (1051) all_0_247_247 = e12
% 28.70/7.39 |
% 28.70/7.39 | Combining equations (1051,1191) yields a new equation:
% 28.70/7.39 | (833) e13 = e12
% 28.70/7.39 |
% 28.70/7.39 | Equations (833) can reduce 305 to:
% 28.70/7.39 | (537) $false
% 28.70/7.39 |
% 28.70/7.39 |-The branch is then unsatisfiable
% 28.70/7.39 |-Branch two:
% 28.70/7.39 | (1150) ~ (all_0_247_247 = e12)
% 28.70/7.39 | (1151) all_0_251_251 = e12 | all_0_255_255 = e12
% 28.70/7.39 |
% 28.70/7.39 +-Applying beta-rule and splitting (237), into two cases.
% 28.70/7.39 |-Branch one:
% 28.70/7.39 | (839) all_0_255_255 = e13
% 28.70/7.39 |
% 28.70/7.39 | Equations (839) can reduce 1189 to:
% 28.70/7.39 | (537) $false
% 28.70/7.39 |
% 28.70/7.39 |-The branch is then unsatisfiable
% 28.70/7.39 |-Branch two:
% 28.70/7.39 | (1189) ~ (all_0_255_255 = e13)
% 28.70/7.39 | (1190) all_0_255_255 = e12 | all_0_255_255 = e10
% 28.70/7.39 |
% 28.70/7.39 +-Applying beta-rule and splitting (404), into two cases.
% 28.70/7.39 |-Branch one:
% 28.70/7.39 | (770) all_0_246_246 = e12
% 28.70/7.39 |
% 28.70/7.39 | Equations (770) can reduce 116 to:
% 28.70/7.39 | (8) ~ (e12 = e10)
% 28.70/7.39 |
% 28.70/7.39 | From (770) and (367) follows:
% 28.70/7.39 | (1832) op1(e13, e13) = e12
% 28.70/7.39 |
% 28.70/7.39 | From (770) and (73) follows:
% 28.70/7.39 | (2638) op1(e11, e12) = all_0_166_166
% 28.70/7.39 |
% 28.70/7.39 +-Applying beta-rule and splitting (1151), into two cases.
% 28.70/7.39 |-Branch one:
% 28.70/7.39 | (933) all_0_251_251 = e12
% 28.70/7.39 |
% 28.70/7.39 | Combining equations (1011,933) yields a new equation:
% 28.70/7.39 | (952) e12 = e10
% 28.70/7.39 |
% 28.70/7.39 | Equations (952) can reduce 8 to:
% 28.70/7.39 | (537) $false
% 28.70/7.39 |
% 28.70/7.39 |-The branch is then unsatisfiable
% 28.70/7.39 |-Branch two:
% 28.70/7.39 | (1010) ~ (all_0_251_251 = e12)
% 28.70/7.39 | (1403) all_0_255_255 = e12
% 28.70/7.39 |
% 28.70/7.39 | Combining equations (1403,2546) yields a new equation:
% 28.70/7.39 | (1052) all_0_213_213 = e12
% 28.70/7.39 |
% 28.70/7.39 | Equations (1403) can reduce 1189 to:
% 28.70/7.39 | (803) ~ (e13 = e12)
% 28.70/7.39 |
% 28.70/7.39 | Simplifying 803 yields:
% 28.70/7.39 | (305) ~ (e13 = e12)
% 28.70/7.39 |
% 28.70/7.39 | From (1403) and (166) follows:
% 28.70/7.39 | (2114) op1(e11, e12) = all_0_228_228
% 28.70/7.39 |
% 28.70/7.39 | From (1403) and (126) follows:
% 28.70/7.39 | (2115) op1(e11, e12) = e12
% 28.70/7.39 |
% 28.70/7.39 | Instantiating formula (144) with e13, e13, all_0_204_204, all_0_189_189 and discharging atoms op1(e13, e13) = all_0_189_189, op1(e13, e13) = all_0_204_204, yields:
% 28.70/7.39 | (2745) all_0_189_189 = all_0_204_204
% 28.70/7.39 |
% 28.70/7.39 | Instantiating formula (144) with e13, e13, all_0_205_205, all_0_204_204 and discharging atoms op1(e13, e13) = all_0_204_204, op1(e13, e13) = all_0_205_205, yields:
% 28.70/7.39 | (2782) all_0_204_204 = all_0_205_205
% 28.70/7.39 |
% 28.70/7.39 | Instantiating formula (144) with e13, e13, e12, all_0_189_189 and discharging atoms op1(e13, e13) = all_0_189_189, op1(e13, e13) = e12, yields:
% 28.70/7.39 | (2749) all_0_189_189 = e12
% 28.70/7.39 |
% 28.70/7.39 | Instantiating formula (144) with e13, e11, all_0_224_224, e11 and discharging atoms op1(e13, e11) = all_0_224_224, op1(e13, e11) = e11, yields:
% 28.70/7.39 | (4143) all_0_224_224 = e11
% 28.70/7.39 |
% 28.70/7.39 | Instantiating formula (144) with e11, e12, all_0_228_228, all_0_166_166 and discharging atoms op1(e11, e12) = all_0_166_166, op1(e11, e12) = all_0_228_228, yields:
% 28.70/7.39 | (2760) all_0_166_166 = all_0_228_228
% 28.70/7.39 |
% 28.70/7.39 | Instantiating formula (144) with e11, e12, e12, all_0_166_166 and discharging atoms op1(e11, e12) = all_0_166_166, op1(e11, e12) = e12, yields:
% 28.70/7.39 | (2761) all_0_166_166 = e12
% 28.70/7.39 |
% 28.70/7.39 | Combining equations (2760,2761) yields a new equation:
% 28.70/7.39 | (892) all_0_228_228 = e12
% 28.70/7.39 |
% 28.70/7.39 | Simplifying 892 yields:
% 28.70/7.39 | (893) all_0_228_228 = e12
% 28.70/7.39 |
% 28.70/7.39 | Combining equations (2745,2749) yields a new equation:
% 28.70/7.39 | (4148) all_0_204_204 = e12
% 28.70/7.39 |
% 28.70/7.39 | Simplifying 4148 yields:
% 28.70/7.39 | (949) all_0_204_204 = e12
% 28.70/7.39 |
% 28.70/7.39 | Combining equations (2782,949) yields a new equation:
% 28.70/7.39 | (2792) all_0_205_205 = e12
% 28.70/7.39 |
% 28.70/7.39 | Simplifying 2792 yields:
% 28.70/7.39 | (2082) all_0_205_205 = e12
% 28.70/7.39 |
% 28.70/7.39 +-Applying beta-rule and splitting (257), into two cases.
% 28.70/7.39 |-Branch one:
% 28.70/7.39 | (940) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)) | (all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10))
% 28.70/7.40 |
% 28.70/7.40 +-Applying beta-rule and splitting (940), into two cases.
% 28.70/7.40 |-Branch one:
% 28.70/7.40 | (941) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12))
% 28.70/7.40 |
% 28.70/7.40 +-Applying beta-rule and splitting (941), into two cases.
% 28.70/7.40 |-Branch one:
% 28.70/7.40 | (942) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13))
% 28.70/7.40 |
% 28.70/7.40 +-Applying beta-rule and splitting (942), into two cases.
% 28.70/7.40 |-Branch one:
% 28.70/7.40 | (943) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10))
% 28.70/7.40 |
% 28.70/7.40 +-Applying beta-rule and splitting (943), into two cases.
% 28.70/7.40 |-Branch one:
% 28.70/7.40 | (944) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11))
% 28.70/7.40 |
% 28.70/7.40 +-Applying beta-rule and splitting (944), into two cases.
% 28.70/7.40 |-Branch one:
% 28.70/7.40 | (945) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13))
% 28.70/7.40 |
% 28.70/7.40 +-Applying beta-rule and splitting (945), into two cases.
% 28.70/7.40 |-Branch one:
% 28.70/7.40 | (946) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10))
% 28.70/7.40 |
% 28.70/7.40 +-Applying beta-rule and splitting (946), into two cases.
% 28.70/7.40 |-Branch one:
% 28.70/7.40 | (947) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11))
% 28.70/7.40 |
% 28.70/7.40 +-Applying beta-rule and splitting (947), into two cases.
% 28.70/7.40 |-Branch one:
% 28.70/7.40 | (948) all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)
% 28.70/7.40 |
% 28.70/7.40 | Applying alpha-rule on (948) yields:
% 28.70/7.40 | (949) all_0_204_204 = e12
% 28.70/7.40 | (950) ~ (all_0_203_203 = e13)
% 28.70/7.40 | (951) ~ (all_0_205_205 = e12)
% 28.70/7.40 |
% 28.70/7.40 | Equations (2082) can reduce 951 to:
% 28.70/7.40 | (537) $false
% 28.70/7.40 |
% 28.70/7.40 |-The branch is then unsatisfiable
% 28.70/7.40 |-Branch two:
% 28.70/7.40 | (954) all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)
% 28.70/7.40 |
% 28.70/7.40 | Applying alpha-rule on (954) yields:
% 28.70/7.40 | (955) all_0_207_207 = e11
% 28.70/7.40 | (956) ~ (all_0_206_206 = e13)
% 28.70/7.40 | (957) ~ (all_0_208_208 = e11)
% 28.70/7.40 |
% 28.70/7.40 | Combining equations (935,955) yields a new equation:
% 28.70/7.40 | (958) e13 = e11
% 28.70/7.40 |
% 28.70/7.40 | Simplifying 958 yields:
% 28.70/7.40 | (959) e13 = e11
% 28.70/7.40 |
% 28.70/7.40 | Equations (959) can reduce 446 to:
% 28.70/7.40 | (537) $false
% 28.70/7.40 |
% 28.70/7.40 |-The branch is then unsatisfiable
% 28.70/7.40 |-Branch two:
% 28.70/7.40 | (961) all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)
% 28.70/7.40 |
% 28.70/7.40 | Applying alpha-rule on (961) yields:
% 28.70/7.40 | (962) all_0_210_210 = e10
% 28.70/7.40 | (963) ~ (all_0_209_209 = e13)
% 28.70/7.40 | (964) ~ (all_0_211_211 = e10)
% 28.70/7.40 |
% 28.70/7.40 | Equations (1321) can reduce 964 to:
% 28.70/7.40 | (537) $false
% 28.70/7.40 |
% 28.70/7.40 |-The branch is then unsatisfiable
% 28.70/7.40 |-Branch two:
% 28.70/7.40 | (968) all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)
% 28.70/7.40 |
% 28.70/7.40 | Applying alpha-rule on (968) yields:
% 28.70/7.40 | (969) all_0_213_213 = e13
% 28.70/7.40 | (970) ~ (all_0_212_212 = e12)
% 28.70/7.40 | (971) ~ (all_0_214_214 = e13)
% 28.70/7.40 |
% 28.70/7.40 | Combining equations (1052,969) yields a new equation:
% 28.70/7.40 | (833) e13 = e12
% 28.70/7.40 |
% 28.70/7.40 | Equations (833) can reduce 305 to:
% 28.70/7.40 | (537) $false
% 28.70/7.40 |
% 28.70/7.40 |-The branch is then unsatisfiable
% 28.70/7.40 |-Branch two:
% 28.70/7.40 | (974) all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)
% 28.70/7.40 |
% 28.70/7.40 | Applying alpha-rule on (974) yields:
% 28.70/7.40 | (975) all_0_218_218 = e11
% 28.70/7.40 | (976) ~ (all_0_217_217 = e12)
% 28.70/7.40 | (977) ~ (all_0_219_219 = e11)
% 28.70/7.40 |
% 28.70/7.40 | Combining equations (1067,975) yields a new equation:
% 28.70/7.40 | (868) e11 = e10
% 28.70/7.40 |
% 28.70/7.40 | Equations (868) can reduce 293 to:
% 28.70/7.40 | (537) $false
% 28.70/7.40 |
% 28.70/7.40 |-The branch is then unsatisfiable
% 28.70/7.40 |-Branch two:
% 28.70/7.40 | (979) all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)
% 28.70/7.40 |
% 28.70/7.40 | Applying alpha-rule on (979) yields:
% 28.70/7.40 | (980) all_0_221_221 = e10
% 28.70/7.40 | (981) ~ (all_0_220_220 = e12)
% 28.70/7.40 | (982) ~ (all_0_222_222 = e10)
% 28.70/7.40 |
% 28.70/7.40 | Combining equations (840,980) yields a new equation:
% 28.70/7.40 | (983) e13 = e10
% 28.70/7.40 |
% 28.70/7.40 | Simplifying 983 yields:
% 28.70/7.40 | (862) e13 = e10
% 28.70/7.40 |
% 28.70/7.40 | Equations (862) can reduce 210 to:
% 28.70/7.40 | (537) $false
% 28.70/7.40 |
% 28.70/7.40 |-The branch is then unsatisfiable
% 28.70/7.40 |-Branch two:
% 28.70/7.40 | (986) all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)
% 28.70/7.40 |
% 28.70/7.40 | Applying alpha-rule on (986) yields:
% 28.70/7.40 | (987) all_0_224_224 = e13
% 28.70/7.40 | (988) ~ (all_0_223_223 = e11)
% 28.70/7.40 | (989) ~ (all_0_225_225 = e13)
% 28.70/7.40 |
% 28.70/7.40 | Combining equations (4143,987) yields a new equation:
% 28.70/7.40 | (959) e13 = e11
% 28.70/7.40 |
% 28.70/7.40 | Equations (959) can reduce 446 to:
% 28.70/7.40 | (537) $false
% 28.70/7.40 |
% 28.70/7.40 |-The branch is then unsatisfiable
% 28.70/7.40 |-Branch two:
% 28.70/7.40 | (992) all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)
% 28.70/7.40 |
% 28.70/7.40 | Applying alpha-rule on (992) yields:
% 28.70/7.40 | (993) all_0_227_227 = e12
% 28.70/7.40 | (994) ~ (all_0_226_226 = e11)
% 28.70/7.40 | (995) ~ (all_0_228_228 = e12)
% 28.70/7.40 |
% 28.70/7.40 | Equations (893) can reduce 995 to:
% 28.70/7.40 | (537) $false
% 28.70/7.40 |
% 28.70/7.40 |-The branch is then unsatisfiable
% 28.70/7.40 |-Branch two:
% 28.70/7.40 | (997) all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10)
% 28.70/7.40 |
% 28.70/7.40 | Applying alpha-rule on (997) yields:
% 28.70/7.40 | (998) all_0_232_232 = e10
% 28.70/7.40 | (999) ~ (all_0_231_231 = e11)
% 28.70/7.40 | (1000) ~ (all_0_233_233 = e10)
% 28.70/7.40 |
% 28.70/7.40 | Equations (3879) can reduce 1000 to:
% 28.70/7.40 | (537) $false
% 28.70/7.40 |
% 28.70/7.40 |-The branch is then unsatisfiable
% 28.70/7.40 |-Branch two:
% 28.70/7.40 | (1004) all_0_249_249 = e11 & ~ (all_0_248_248 = e10)
% 28.70/7.40 |
% 28.70/7.40 | Applying alpha-rule on (1004) yields:
% 28.70/7.40 | (1005) all_0_249_249 = e11
% 28.70/7.40 | (905) ~ (all_0_248_248 = e10)
% 28.70/7.40 |
% 28.70/7.40 | Combining equations (1005,861) yields a new equation:
% 28.70/7.40 | (867) e11 = e10
% 28.70/7.40 |
% 28.70/7.40 | Simplifying 867 yields:
% 28.70/7.40 | (868) e11 = e10
% 28.70/7.40 |
% 28.70/7.40 | Equations (868) can reduce 293 to:
% 28.70/7.40 | (537) $false
% 28.70/7.40 |
% 28.70/7.40 |-The branch is then unsatisfiable
% 28.70/7.40 |-Branch two:
% 28.70/7.40 | (774) ~ (all_0_246_246 = e12)
% 28.70/7.40 | (1966) all_0_250_250 = e12 | all_0_254_254 = e12
% 28.70/7.40 |
% 28.70/7.40 +-Applying beta-rule and splitting (1190), into two cases.
% 28.70/7.40 |-Branch one:
% 28.70/7.40 | (1403) all_0_255_255 = e12
% 28.70/7.40 |
% 28.70/7.40 | Equations (1403) can reduce 1189 to:
% 28.70/7.40 | (803) ~ (e13 = e12)
% 28.70/7.40 |
% 28.70/7.40 | Simplifying 803 yields:
% 28.70/7.40 | (305) ~ (e13 = e12)
% 28.70/7.40 |
% 28.70/7.40 | Equations (1403) can reduce 134 to:
% 28.70/7.40 | (113) ~ (e12 = e11)
% 28.70/7.40 |
% 28.70/7.40 +-Applying beta-rule and splitting (1966), into two cases.
% 28.70/7.40 |-Branch one:
% 28.70/7.40 | (1152) all_0_250_250 = e12
% 28.70/7.40 |
% 28.70/7.40 | Combining equations (716,1152) yields a new equation:
% 28.70/7.40 | (772) e12 = e11
% 28.70/7.40 |
% 28.70/7.40 | Equations (772) can reduce 113 to:
% 28.70/7.40 | (537) $false
% 28.70/7.40 |
% 28.70/7.40 |-The branch is then unsatisfiable
% 28.70/7.40 |-Branch two:
% 28.70/7.40 | (1156) ~ (all_0_250_250 = e12)
% 28.70/7.40 | (798) all_0_254_254 = e12
% 28.70/7.40 |
% 28.70/7.40 | Combining equations (795,798) yields a new equation:
% 28.70/7.40 | (832) e13 = e12
% 28.70/7.40 |
% 28.70/7.40 | Simplifying 832 yields:
% 28.70/7.40 | (833) e13 = e12
% 28.70/7.40 |
% 28.70/7.40 | Equations (833) can reduce 305 to:
% 28.70/7.40 | (537) $false
% 28.70/7.40 |
% 28.70/7.40 |-The branch is then unsatisfiable
% 28.70/7.40 |-Branch two:
% 28.70/7.40 | (800) ~ (all_0_255_255 = e12)
% 28.70/7.40 | (1178) all_0_255_255 = e10
% 28.70/7.40 |
% 28.70/7.40 | Equations (1178) can reduce 1498 to:
% 28.70/7.40 | (537) $false
% 28.70/7.40 |
% 28.70/7.40 |-The branch is then unsatisfiable
% 28.70/7.40 |-Branch two:
% 28.70/7.40 | (1405) ~ (all_0_247_247 = e13)
% 28.70/7.40 | (1406) all_0_251_251 = e13 | all_0_255_255 = e13
% 28.70/7.40 |
% 28.70/7.40 +-Applying beta-rule and splitting (237), into two cases.
% 28.70/7.40 |-Branch one:
% 28.70/7.40 | (839) all_0_255_255 = e13
% 28.70/7.40 |
% 28.70/7.40 | Equations (839) can reduce 1189 to:
% 28.70/7.40 | (537) $false
% 28.70/7.40 |
% 28.70/7.40 |-The branch is then unsatisfiable
% 28.70/7.40 |-Branch two:
% 28.70/7.40 | (1189) ~ (all_0_255_255 = e13)
% 28.70/7.40 | (1190) all_0_255_255 = e12 | all_0_255_255 = e10
% 28.70/7.40 |
% 28.70/7.40 +-Applying beta-rule and splitting (1406), into two cases.
% 28.70/7.40 |-Branch one:
% 28.70/7.40 | (929) all_0_251_251 = e13
% 28.70/7.40 |
% 28.70/7.40 | Combining equations (1011,929) yields a new equation:
% 28.70/7.40 | (862) e13 = e10
% 28.70/7.40 |
% 28.70/7.40 | Equations (862) can reduce 210 to:
% 28.70/7.40 | (537) $false
% 28.70/7.40 |
% 28.70/7.40 |-The branch is then unsatisfiable
% 28.70/7.40 |-Branch two:
% 28.70/7.40 | (778) ~ (all_0_251_251 = e13)
% 28.70/7.40 | (839) all_0_255_255 = e13
% 28.70/7.40 |
% 28.70/7.40 | Equations (839) can reduce 1189 to:
% 28.70/7.40 | (537) $false
% 28.70/7.40 |
% 28.70/7.40 |-The branch is then unsatisfiable
% 28.70/7.40 |-Branch two:
% 28.70/7.40 | (1186) ~ (all_0_253_253 = e13)
% 28.70/7.40 | (1187) all_0_257_257 = e13
% 28.70/7.40 |
% 28.70/7.40 | Combining equations (1187,1505) yields a new equation:
% 28.70/7.40 | (958) e13 = e11
% 28.70/7.40 |
% 28.70/7.40 | Simplifying 958 yields:
% 28.70/7.40 | (959) e13 = e11
% 28.70/7.40 |
% 28.70/7.40 | Equations (959) can reduce 446 to:
% 28.70/7.40 | (537) $false
% 28.70/7.40 |
% 28.70/7.40 |-The branch is then unsatisfiable
% 28.70/7.40 |-Branch two:
% 28.70/7.40 | (864) ~ (all_0_249_249 = e10)
% 28.70/7.40 | (865) all_0_253_253 = e10 | all_0_257_257 = e10
% 28.70/7.40 |
% 28.70/7.40 +-Applying beta-rule and splitting (865), into two cases.
% 28.70/7.40 |-Branch one:
% 28.70/7.40 | (866) all_0_253_253 = e10
% 28.70/7.40 |
% 28.70/7.40 | Equations (866) can reduce 870 to:
% 28.70/7.40 | (537) $false
% 28.70/7.40 |
% 28.70/7.40 |-The branch is then unsatisfiable
% 28.70/7.40 |-Branch two:
% 28.70/7.40 | (870) ~ (all_0_253_253 = e10)
% 28.70/7.40 | (871) all_0_257_257 = e10
% 28.70/7.40 |
% 28.70/7.40 | Combining equations (1505,871) yields a new equation:
% 28.70/7.40 | (867) e11 = e10
% 28.70/7.40 |
% 28.70/7.40 | Simplifying 867 yields:
% 28.70/7.40 | (868) e11 = e10
% 28.70/7.40 |
% 28.70/7.40 | Equations (868) can reduce 293 to:
% 28.70/7.40 | (537) $false
% 28.70/7.40 |
% 28.70/7.40 |-The branch is then unsatisfiable
% 28.70/7.40 |-Branch two:
% 28.70/7.40 | (921) ~ (all_0_251_251 = e10)
% 28.70/7.40 | (1226) all_0_252_252 = e10 | all_0_253_253 = e10
% 28.70/7.40 |
% 28.70/7.40 +-Applying beta-rule and splitting (454), into two cases.
% 28.70/7.40 |-Branch one:
% 28.70/7.40 | (902) all_0_247_247 = e10
% 28.70/7.40 |
% 28.70/7.40 | Equations (902) can reduce 248 to:
% 28.70/7.40 | (116) ~ (all_0_246_246 = e10)
% 28.70/7.40 |
% 28.70/7.40 | Equations (902) can reduce 240 to:
% 28.70/7.40 | (3294) ~ (all_0_255_255 = e10)
% 28.70/7.40 |
% 28.70/7.40 | Simplifying 3294 yields:
% 28.70/7.40 | (1498) ~ (all_0_255_255 = e10)
% 28.70/7.40 |
% 28.70/7.40 | From (902) and (289) follows:
% 28.70/7.40 | (908) op1(e10, e13) = all_0_204_204
% 28.70/7.40 |
% 28.70/7.40 | From (902) and (230) follows:
% 28.70/7.41 | (4268) op1(e10, e12) = all_0_203_203
% 28.70/7.41 |
% 28.70/7.41 +-Applying beta-rule and splitting (58), into two cases.
% 28.70/7.41 |-Branch one:
% 28.70/7.41 | (1051) all_0_247_247 = e12
% 28.70/7.41 |
% 28.70/7.41 | Combining equations (902,1051) yields a new equation:
% 28.70/7.41 | (952) e12 = e10
% 28.70/7.41 |
% 28.70/7.41 | Equations (952) can reduce 8 to:
% 28.70/7.41 | (537) $false
% 28.70/7.41 |
% 28.70/7.41 |-The branch is then unsatisfiable
% 28.70/7.41 |-Branch two:
% 28.70/7.41 | (1150) ~ (all_0_247_247 = e12)
% 28.70/7.41 | (1151) all_0_251_251 = e12 | all_0_255_255 = e12
% 28.70/7.41 |
% 28.70/7.41 +-Applying beta-rule and splitting (29), into two cases.
% 28.70/7.41 |-Branch one:
% 28.70/7.41 | (770) all_0_246_246 = e12
% 28.70/7.41 |
% 28.70/7.41 | Equations (770) can reduce 236 to:
% 28.70/7.41 | (1425) ~ (all_0_254_254 = e12)
% 28.70/7.41 |
% 28.70/7.41 | Simplifying 1425 yields:
% 28.70/7.41 | (1426) ~ (all_0_254_254 = e12)
% 28.70/7.41 |
% 28.70/7.41 | Equations (770) can reduce 116 to:
% 28.70/7.41 | (8) ~ (e12 = e10)
% 28.70/7.41 |
% 28.70/7.41 | From (770) and (367) follows:
% 28.70/7.41 | (1832) op1(e13, e13) = e12
% 28.70/7.41 |
% 28.70/7.41 | From (770) and (73) follows:
% 28.70/7.41 | (2638) op1(e11, e12) = all_0_166_166
% 28.70/7.41 |
% 28.70/7.41 | From (770) and (345) follows:
% 28.70/7.41 | (4280) op1(e10, e12) = all_0_167_167
% 28.70/7.41 |
% 28.70/7.41 +-Applying beta-rule and splitting (329), into two cases.
% 28.70/7.41 |-Branch one:
% 28.70/7.41 | (798) all_0_254_254 = e12
% 28.70/7.41 |
% 28.70/7.41 | Equations (798) can reduce 1426 to:
% 28.70/7.41 | (537) $false
% 28.70/7.41 |
% 28.70/7.41 |-The branch is then unsatisfiable
% 28.70/7.41 |-Branch two:
% 28.70/7.41 | (1426) ~ (all_0_254_254 = e12)
% 28.70/7.41 | (1443) all_0_255_255 = e12 | all_0_256_256 = e12
% 28.70/7.41 |
% 28.70/7.41 +-Applying beta-rule and splitting (77), into two cases.
% 28.70/7.41 |-Branch one:
% 28.70/7.41 | (791) all_0_254_254 = e11
% 28.70/7.41 |
% 28.70/7.41 | Equations (791) can reduce 744 to:
% 28.70/7.41 | (537) $false
% 28.70/7.41 |
% 28.70/7.41 |-The branch is then unsatisfiable
% 28.70/7.41 |-Branch two:
% 28.70/7.41 | (744) ~ (all_0_254_254 = e11)
% 28.70/7.41 | (794) all_0_254_254 = e13 | all_0_254_254 = e12
% 28.70/7.41 |
% 28.70/7.41 +-Applying beta-rule and splitting (180), into two cases.
% 28.70/7.41 |-Branch one:
% 28.70/7.41 | (929) all_0_251_251 = e13
% 28.70/7.41 |
% 28.70/7.41 | Combining equations (929,3019) yields a new equation:
% 28.70/7.41 | (3036) all_0_218_218 = e13
% 28.70/7.41 |
% 28.70/7.41 | Equations (929) can reduce 23 to:
% 28.70/7.41 | (3037) ~ (all_0_253_253 = e13)
% 28.70/7.41 |
% 28.70/7.41 | Simplifying 3037 yields:
% 28.70/7.41 | (1186) ~ (all_0_253_253 = e13)
% 28.70/7.41 |
% 28.70/7.41 | From (929) and (239) follows:
% 28.70/7.41 | (1447) op1(e13, e13) = all_0_180_180
% 28.70/7.41 |
% 28.70/7.41 | From (929) and (275) follows:
% 28.70/7.41 | (1450) op1(e10, e13) = all_0_182_182
% 28.70/7.41 |
% 28.70/7.41 +-Applying beta-rule and splitting (124), into two cases.
% 28.70/7.41 |-Branch one:
% 28.70/7.41 | (850) all_0_249_249 = e13
% 28.70/7.41 |
% 28.70/7.41 | From (850) and (375) follows:
% 28.70/7.41 | (856) op1(e13, e13) = all_0_210_210
% 28.70/7.41 |
% 28.70/7.41 | From (850) and (209) follows:
% 28.70/7.41 | (857) op1(e13, e13) = all_0_211_211
% 28.70/7.41 |
% 28.70/7.41 | From (850) and (282) follows:
% 28.70/7.41 | (860) op1(e10, e13) = all_0_176_176
% 28.70/7.41 |
% 28.70/7.41 +-Applying beta-rule and splitting (251), into two cases.
% 28.70/7.41 |-Branch one:
% 28.70/7.41 | (795) all_0_254_254 = e13
% 28.70/7.41 |
% 28.70/7.41 | Combining equations (795,3578) yields a new equation:
% 28.70/7.41 | (935) all_0_207_207 = e13
% 28.70/7.41 |
% 28.70/7.41 | Equations (795) can reduce 12 to:
% 28.70/7.41 | (1196) ~ (all_0_255_255 = e13)
% 28.70/7.41 |
% 28.70/7.41 | Simplifying 1196 yields:
% 28.70/7.41 | (1189) ~ (all_0_255_255 = e13)
% 28.70/7.41 |
% 28.70/7.41 | Equations (795) can reduce 1426 to:
% 28.70/7.41 | (305) ~ (e13 = e12)
% 28.70/7.41 |
% 28.70/7.41 | Equations (795) can reduce 744 to:
% 28.70/7.41 | (446) ~ (e13 = e11)
% 28.70/7.41 |
% 28.70/7.41 | From (795) and (450) follows:
% 28.70/7.41 | (2685) op1(e13, e13) = all_0_223_223
% 28.70/7.41 |
% 28.70/7.41 | From (795) and (301) follows:
% 28.70/7.41 | (1514) op1(e13, e11) = all_0_224_224
% 28.70/7.41 |
% 28.70/7.41 | From (795) and (420) follows:
% 28.70/7.41 | (1515) op1(e13, e13) = all_0_189_189
% 28.70/7.41 |
% 28.70/7.41 | From (795) and (243) follows:
% 28.70/7.41 | (1517) op1(e10, e13) = all_0_191_191
% 28.70/7.41 |
% 28.70/7.41 +-Applying beta-rule and splitting (1226), into two cases.
% 28.70/7.41 |-Branch one:
% 28.70/7.41 | (918) all_0_252_252 = e10
% 28.70/7.41 |
% 28.70/7.41 | Combining equations (1056,918) yields a new equation:
% 28.70/7.41 | (1159) e12 = e10
% 28.70/7.41 |
% 28.70/7.41 | Simplifying 1159 yields:
% 28.70/7.41 | (952) e12 = e10
% 28.70/7.41 |
% 28.70/7.41 | Equations (952) can reduce 8 to:
% 28.70/7.41 | (537) $false
% 28.70/7.41 |
% 28.70/7.41 |-The branch is then unsatisfiable
% 28.70/7.41 |-Branch two:
% 28.70/7.41 | (1020) ~ (all_0_252_252 = e10)
% 28.70/7.41 | (866) all_0_253_253 = e10
% 28.70/7.41 |
% 28.70/7.41 | Equations (866) can reduce 2525 to:
% 28.70/7.41 | (906) ~ (e11 = e10)
% 28.70/7.41 |
% 28.70/7.41 | Simplifying 906 yields:
% 28.70/7.41 | (293) ~ (e11 = e10)
% 28.70/7.41 |
% 28.70/7.41 | From (866) and (366) follows:
% 28.70/7.41 | (3049) op1(e10, e12) = all_0_221_221
% 28.70/7.41 |
% 28.70/7.41 +-Applying beta-rule and splitting (237), into two cases.
% 28.70/7.41 |-Branch one:
% 28.70/7.41 | (839) all_0_255_255 = e13
% 28.70/7.41 |
% 28.70/7.41 | Equations (839) can reduce 1189 to:
% 28.70/7.41 | (537) $false
% 28.70/7.41 |
% 28.70/7.41 |-The branch is then unsatisfiable
% 28.70/7.41 |-Branch two:
% 28.70/7.41 | (1189) ~ (all_0_255_255 = e13)
% 28.70/7.41 | (1190) all_0_255_255 = e12 | all_0_255_255 = e10
% 28.70/7.41 |
% 28.70/7.41 +-Applying beta-rule and splitting (1151), into two cases.
% 28.70/7.41 |-Branch one:
% 28.70/7.41 | (933) all_0_251_251 = e12
% 28.70/7.41 |
% 28.70/7.41 | Combining equations (929,933) yields a new equation:
% 28.70/7.41 | (832) e13 = e12
% 28.70/7.41 |
% 28.70/7.41 | Simplifying 832 yields:
% 28.70/7.41 | (833) e13 = e12
% 28.70/7.41 |
% 28.70/7.41 | Equations (833) can reduce 305 to:
% 28.70/7.41 | (537) $false
% 28.70/7.41 |
% 28.70/7.41 |-The branch is then unsatisfiable
% 28.70/7.41 |-Branch two:
% 28.70/7.41 | (1010) ~ (all_0_251_251 = e12)
% 28.70/7.41 | (1403) all_0_255_255 = e12
% 28.70/7.41 |
% 28.70/7.41 | Combining equations (1403,2546) yields a new equation:
% 28.70/7.41 | (1052) all_0_213_213 = e12
% 28.70/7.41 |
% 28.70/7.41 | Equations (1403) can reduce 1189 to:
% 28.70/7.41 | (803) ~ (e13 = e12)
% 28.70/7.41 |
% 28.70/7.41 | Simplifying 803 yields:
% 28.70/7.41 | (305) ~ (e13 = e12)
% 28.70/7.41 |
% 28.70/7.41 | Equations (1403) can reduce 1498 to:
% 28.70/7.41 | (8) ~ (e12 = e10)
% 28.70/7.41 |
% 28.70/7.41 | From (1403) and (166) follows:
% 28.70/7.41 | (2114) op1(e11, e12) = all_0_228_228
% 28.70/7.41 |
% 28.70/7.41 | From (1403) and (126) follows:
% 28.70/7.41 | (2115) op1(e11, e12) = e12
% 28.70/7.41 |
% 28.70/7.41 | From (1403) and (22) follows:
% 28.70/7.41 | (4334) op1(e10, e12) = all_0_194_194
% 28.70/7.41 |
% 28.70/7.41 | Instantiating formula (144) with e13, e13, all_0_210_210, all_0_180_180 and discharging atoms op1(e13, e13) = all_0_180_180, op1(e13, e13) = all_0_210_210, yields:
% 28.70/7.41 | (4335) all_0_180_180 = all_0_210_210
% 28.70/7.41 |
% 28.70/7.41 | Instantiating formula (144) with e13, e13, all_0_210_210, all_0_189_189 and discharging atoms op1(e13, e13) = all_0_189_189, op1(e13, e13) = all_0_210_210, yields:
% 28.70/7.41 | (1533) all_0_189_189 = all_0_210_210
% 28.70/7.41 |
% 28.70/7.41 | Instantiating formula (144) with e13, e13, all_0_211_211, all_0_189_189 and discharging atoms op1(e13, e13) = all_0_189_189, op1(e13, e13) = all_0_211_211, yields:
% 28.70/7.41 | (4337) all_0_189_189 = all_0_211_211
% 28.70/7.41 |
% 28.70/7.41 | Instantiating formula (144) with e13, e13, all_0_223_223, all_0_180_180 and discharging atoms op1(e13, e13) = all_0_180_180, op1(e13, e13) = all_0_223_223, yields:
% 28.70/7.41 | (4338) all_0_180_180 = all_0_223_223
% 28.70/7.41 |
% 28.70/7.41 | Instantiating formula (144) with e13, e13, e12, all_0_210_210 and discharging atoms op1(e13, e13) = all_0_210_210, op1(e13, e13) = e12, yields:
% 28.70/7.41 | (1889) all_0_210_210 = e12
% 28.70/7.41 |
% 28.70/7.41 | Instantiating formula (144) with e13, e11, all_0_224_224, e11 and discharging atoms op1(e13, e11) = all_0_224_224, op1(e13, e11) = e11, yields:
% 28.70/7.41 | (4143) all_0_224_224 = e11
% 28.70/7.41 |
% 28.70/7.41 | Instantiating formula (144) with e11, e12, all_0_228_228, all_0_166_166 and discharging atoms op1(e11, e12) = all_0_166_166, op1(e11, e12) = all_0_228_228, yields:
% 28.70/7.41 | (2760) all_0_166_166 = all_0_228_228
% 28.70/7.41 |
% 28.70/7.41 | Instantiating formula (144) with e11, e12, e12, all_0_166_166 and discharging atoms op1(e11, e12) = all_0_166_166, op1(e11, e12) = e12, yields:
% 28.70/7.41 | (2761) all_0_166_166 = e12
% 28.70/7.41 |
% 28.70/7.41 | Instantiating formula (144) with e10, e13, all_0_182_182, all_0_176_176 and discharging atoms op1(e10, e13) = all_0_176_176, op1(e10, e13) = all_0_182_182, yields:
% 28.70/7.41 | (1551) all_0_176_176 = all_0_182_182
% 28.70/7.41 |
% 28.70/7.41 | Instantiating formula (144) with e10, e13, all_0_191_191, e10 and discharging atoms op1(e10, e13) = all_0_191_191, op1(e10, e13) = e10, yields:
% 28.70/7.41 | (1567) all_0_191_191 = e10
% 28.70/7.41 |
% 28.70/7.41 | Instantiating formula (144) with e10, e13, all_0_191_191, all_0_182_182 and discharging atoms op1(e10, e13) = all_0_182_182, op1(e10, e13) = all_0_191_191, yields:
% 28.70/7.41 | (1563) all_0_182_182 = all_0_191_191
% 28.70/7.41 |
% 28.70/7.41 | Instantiating formula (144) with e10, e13, all_0_204_204, all_0_176_176 and discharging atoms op1(e10, e13) = all_0_176_176, op1(e10, e13) = all_0_204_204, yields:
% 28.70/7.41 | (1869) all_0_176_176 = all_0_204_204
% 28.70/7.41 |
% 28.70/7.41 | Instantiating formula (144) with e10, e12, all_0_167_167, e11 and discharging atoms op1(e10, e12) = all_0_167_167, op1(e10, e12) = e11, yields:
% 28.70/7.41 | (4347) all_0_167_167 = e11
% 28.70/7.41 |
% 28.70/7.41 | Instantiating formula (144) with e10, e12, all_0_194_194, all_0_167_167 and discharging atoms op1(e10, e12) = all_0_167_167, op1(e10, e12) = all_0_194_194, yields:
% 28.70/7.41 | (4348) all_0_167_167 = all_0_194_194
% 28.70/7.41 |
% 28.70/7.41 | Instantiating formula (144) with e10, e12, all_0_203_203, all_0_194_194 and discharging atoms op1(e10, e12) = all_0_194_194, op1(e10, e12) = all_0_203_203, yields:
% 28.70/7.41 | (4349) all_0_194_194 = all_0_203_203
% 28.70/7.41 |
% 28.70/7.41 | Instantiating formula (144) with e10, e12, all_0_221_221, all_0_203_203 and discharging atoms op1(e10, e12) = all_0_203_203, op1(e10, e12) = all_0_221_221, yields:
% 28.70/7.41 | (2788) all_0_203_203 = all_0_221_221
% 28.70/7.41 |
% 28.70/7.41 | Combining equations (2761,2760) yields a new equation:
% 28.70/7.41 | (893) all_0_228_228 = e12
% 28.70/7.41 |
% 28.70/7.41 | Combining equations (4348,4347) yields a new equation:
% 28.70/7.41 | (4352) all_0_194_194 = e11
% 28.70/7.41 |
% 28.70/7.41 | Simplifying 4352 yields:
% 28.70/7.42 | (4353) all_0_194_194 = e11
% 28.70/7.42 |
% 28.70/7.42 | Combining equations (1551,1869) yields a new equation:
% 28.70/7.42 | (4354) all_0_182_182 = all_0_204_204
% 28.70/7.42 |
% 28.70/7.42 | Simplifying 4354 yields:
% 28.70/7.42 | (4355) all_0_182_182 = all_0_204_204
% 28.70/7.42 |
% 28.70/7.42 | Combining equations (4335,4338) yields a new equation:
% 28.70/7.42 | (4356) all_0_210_210 = all_0_223_223
% 28.70/7.42 |
% 28.70/7.42 | Simplifying 4356 yields:
% 28.70/7.42 | (4357) all_0_210_210 = all_0_223_223
% 28.70/7.42 |
% 28.70/7.42 | Combining equations (1563,4355) yields a new equation:
% 28.70/7.42 | (4358) all_0_191_191 = all_0_204_204
% 28.70/7.42 |
% 28.70/7.42 | Simplifying 4358 yields:
% 28.70/7.42 | (1553) all_0_191_191 = all_0_204_204
% 28.70/7.42 |
% 28.70/7.42 | Combining equations (1533,4337) yields a new equation:
% 28.70/7.42 | (895) all_0_210_210 = all_0_211_211
% 28.70/7.42 |
% 28.70/7.42 | Simplifying 895 yields:
% 28.70/7.42 | (896) all_0_210_210 = all_0_211_211
% 28.70/7.42 |
% 28.70/7.42 | Combining equations (1567,1553) yields a new equation:
% 28.70/7.42 | (938) all_0_204_204 = e10
% 28.70/7.42 |
% 28.70/7.42 | Combining equations (4349,4353) yields a new equation:
% 28.70/7.42 | (4363) all_0_203_203 = e11
% 28.70/7.42 |
% 28.70/7.42 | Simplifying 4363 yields:
% 28.70/7.42 | (4364) all_0_203_203 = e11
% 28.70/7.42 |
% 28.70/7.42 | Combining equations (2788,4364) yields a new equation:
% 28.70/7.42 | (4365) all_0_221_221 = e11
% 28.70/7.42 |
% 28.70/7.42 | Simplifying 4365 yields:
% 28.70/7.42 | (3067) all_0_221_221 = e11
% 28.70/7.42 |
% 28.70/7.42 | Combining equations (4357,896) yields a new equation:
% 28.70/7.42 | (4367) all_0_211_211 = all_0_223_223
% 28.70/7.42 |
% 28.70/7.42 | Combining equations (1889,896) yields a new equation:
% 28.70/7.42 | (1860) all_0_211_211 = e12
% 28.70/7.42 |
% 28.70/7.42 | Combining equations (1860,4367) yields a new equation:
% 28.70/7.42 | (2794) all_0_223_223 = e12
% 28.70/7.42 |
% 28.70/7.42 | Combining equations (2794,4367) yields a new equation:
% 28.70/7.42 | (1860) all_0_211_211 = e12
% 28.70/7.42 |
% 28.70/7.42 | Combining equations (1860,896) yields a new equation:
% 28.70/7.42 | (1889) all_0_210_210 = e12
% 28.70/7.42 |
% 28.70/7.42 +-Applying beta-rule and splitting (257), into two cases.
% 28.70/7.42 |-Branch one:
% 28.70/7.42 | (940) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)) | (all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10))
% 28.70/7.42 |
% 28.70/7.42 +-Applying beta-rule and splitting (940), into two cases.
% 28.70/7.42 |-Branch one:
% 28.70/7.42 | (941) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12))
% 28.70/7.42 |
% 28.70/7.42 +-Applying beta-rule and splitting (941), into two cases.
% 28.70/7.42 |-Branch one:
% 28.70/7.42 | (942) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13))
% 28.70/7.42 |
% 28.70/7.42 +-Applying beta-rule and splitting (942), into two cases.
% 28.70/7.42 |-Branch one:
% 28.70/7.42 | (943) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10))
% 28.70/7.42 |
% 28.70/7.42 +-Applying beta-rule and splitting (943), into two cases.
% 28.70/7.42 |-Branch one:
% 28.70/7.42 | (944) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11))
% 28.70/7.42 |
% 28.70/7.42 +-Applying beta-rule and splitting (944), into two cases.
% 28.70/7.42 |-Branch one:
% 28.70/7.42 | (945) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13))
% 28.70/7.42 |
% 28.70/7.42 +-Applying beta-rule and splitting (945), into two cases.
% 28.70/7.42 |-Branch one:
% 28.70/7.42 | (946) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10))
% 28.70/7.42 |
% 28.70/7.42 +-Applying beta-rule and splitting (946), into two cases.
% 28.70/7.42 |-Branch one:
% 28.70/7.42 | (947) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11))
% 28.70/7.42 |
% 28.70/7.42 +-Applying beta-rule and splitting (947), into two cases.
% 28.70/7.42 |-Branch one:
% 28.70/7.42 | (948) all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)
% 28.70/7.42 |
% 28.70/7.42 | Applying alpha-rule on (948) yields:
% 28.70/7.42 | (949) all_0_204_204 = e12
% 28.70/7.42 | (950) ~ (all_0_203_203 = e13)
% 28.70/7.42 | (951) ~ (all_0_205_205 = e12)
% 28.70/7.42 |
% 28.70/7.42 | Combining equations (938,949) yields a new equation:
% 28.70/7.42 | (952) e12 = e10
% 28.70/7.42 |
% 28.70/7.42 | Equations (952) can reduce 8 to:
% 28.70/7.42 | (537) $false
% 28.70/7.42 |
% 28.70/7.42 |-The branch is then unsatisfiable
% 28.70/7.42 |-Branch two:
% 28.70/7.42 | (954) all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)
% 28.70/7.42 |
% 28.70/7.42 | Applying alpha-rule on (954) yields:
% 28.70/7.42 | (955) all_0_207_207 = e11
% 28.70/7.42 | (956) ~ (all_0_206_206 = e13)
% 28.70/7.42 | (957) ~ (all_0_208_208 = e11)
% 28.70/7.42 |
% 28.70/7.42 | Combining equations (935,955) yields a new equation:
% 28.70/7.42 | (958) e13 = e11
% 28.70/7.42 |
% 28.70/7.42 | Simplifying 958 yields:
% 28.70/7.42 | (959) e13 = e11
% 28.70/7.42 |
% 28.70/7.42 | Equations (959) can reduce 446 to:
% 28.70/7.42 | (537) $false
% 28.70/7.42 |
% 28.70/7.42 |-The branch is then unsatisfiable
% 28.70/7.42 |-Branch two:
% 28.70/7.42 | (961) all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)
% 28.70/7.42 |
% 28.70/7.42 | Applying alpha-rule on (961) yields:
% 28.70/7.42 | (962) all_0_210_210 = e10
% 28.70/7.42 | (963) ~ (all_0_209_209 = e13)
% 28.70/7.42 | (964) ~ (all_0_211_211 = e10)
% 28.70/7.42 |
% 28.70/7.42 | Combining equations (1889,962) yields a new equation:
% 28.70/7.42 | (1159) e12 = e10
% 28.70/7.42 |
% 28.70/7.42 | Simplifying 1159 yields:
% 28.70/7.42 | (952) e12 = e10
% 28.70/7.42 |
% 28.70/7.42 | Equations (952) can reduce 8 to:
% 28.70/7.42 | (537) $false
% 28.70/7.42 |
% 28.70/7.42 |-The branch is then unsatisfiable
% 28.70/7.42 |-Branch two:
% 28.70/7.42 | (968) all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)
% 28.70/7.42 |
% 28.70/7.42 | Applying alpha-rule on (968) yields:
% 28.70/7.42 | (969) all_0_213_213 = e13
% 28.70/7.42 | (970) ~ (all_0_212_212 = e12)
% 28.70/7.42 | (971) ~ (all_0_214_214 = e13)
% 28.70/7.42 |
% 28.70/7.42 | Combining equations (1052,969) yields a new equation:
% 28.70/7.42 | (833) e13 = e12
% 28.70/7.42 |
% 28.70/7.42 | Equations (833) can reduce 305 to:
% 28.70/7.42 | (537) $false
% 28.70/7.42 |
% 28.70/7.42 |-The branch is then unsatisfiable
% 28.70/7.42 |-Branch two:
% 28.70/7.42 | (974) all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)
% 28.70/7.42 |
% 28.70/7.42 | Applying alpha-rule on (974) yields:
% 28.70/7.42 | (975) all_0_218_218 = e11
% 28.70/7.42 | (976) ~ (all_0_217_217 = e12)
% 28.70/7.42 | (977) ~ (all_0_219_219 = e11)
% 28.70/7.42 |
% 28.70/7.42 | Combining equations (3036,975) yields a new equation:
% 28.70/7.42 | (958) e13 = e11
% 28.70/7.42 |
% 28.70/7.42 | Simplifying 958 yields:
% 28.70/7.42 | (959) e13 = e11
% 28.70/7.42 |
% 28.70/7.42 | Equations (959) can reduce 446 to:
% 28.70/7.42 | (537) $false
% 28.70/7.42 |
% 28.70/7.42 |-The branch is then unsatisfiable
% 28.70/7.42 |-Branch two:
% 28.70/7.42 | (979) all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)
% 28.70/7.42 |
% 28.70/7.42 | Applying alpha-rule on (979) yields:
% 28.70/7.42 | (980) all_0_221_221 = e10
% 28.70/7.42 | (981) ~ (all_0_220_220 = e12)
% 28.70/7.42 | (982) ~ (all_0_222_222 = e10)
% 28.70/7.42 |
% 28.70/7.42 | Combining equations (3067,980) yields a new equation:
% 28.70/7.42 | (867) e11 = e10
% 28.70/7.42 |
% 28.70/7.42 | Simplifying 867 yields:
% 28.70/7.42 | (868) e11 = e10
% 28.70/7.42 |
% 28.70/7.42 | Equations (868) can reduce 293 to:
% 28.70/7.42 | (537) $false
% 28.70/7.42 |
% 28.70/7.42 |-The branch is then unsatisfiable
% 28.70/7.42 |-Branch two:
% 28.70/7.42 | (986) all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)
% 28.70/7.42 |
% 28.70/7.42 | Applying alpha-rule on (986) yields:
% 28.70/7.42 | (987) all_0_224_224 = e13
% 28.70/7.42 | (988) ~ (all_0_223_223 = e11)
% 28.70/7.42 | (989) ~ (all_0_225_225 = e13)
% 28.70/7.42 |
% 28.70/7.42 | Combining equations (4143,987) yields a new equation:
% 28.70/7.42 | (959) e13 = e11
% 28.70/7.42 |
% 28.70/7.42 | Equations (959) can reduce 446 to:
% 28.70/7.42 | (537) $false
% 28.70/7.42 |
% 28.70/7.42 |-The branch is then unsatisfiable
% 28.70/7.42 |-Branch two:
% 28.70/7.42 | (992) all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)
% 28.70/7.42 |
% 28.70/7.42 | Applying alpha-rule on (992) yields:
% 28.70/7.42 | (993) all_0_227_227 = e12
% 28.70/7.42 | (994) ~ (all_0_226_226 = e11)
% 28.70/7.43 | (995) ~ (all_0_228_228 = e12)
% 28.70/7.43 |
% 28.70/7.43 | Equations (893) can reduce 995 to:
% 28.70/7.43 | (537) $false
% 28.70/7.43 |
% 28.70/7.43 |-The branch is then unsatisfiable
% 28.70/7.43 |-Branch two:
% 28.70/7.43 | (997) all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10)
% 28.70/7.43 |
% 28.70/7.43 | Applying alpha-rule on (997) yields:
% 28.70/7.43 | (998) all_0_232_232 = e10
% 28.70/7.43 | (999) ~ (all_0_231_231 = e11)
% 28.70/7.43 | (1000) ~ (all_0_233_233 = e10)
% 28.70/7.43 |
% 28.70/7.43 | Equations (3879) can reduce 1000 to:
% 28.70/7.43 | (537) $false
% 28.70/7.43 |
% 28.70/7.43 |-The branch is then unsatisfiable
% 28.70/7.43 |-Branch two:
% 28.70/7.43 | (1004) all_0_249_249 = e11 & ~ (all_0_248_248 = e10)
% 28.70/7.43 |
% 28.70/7.43 | Applying alpha-rule on (1004) yields:
% 28.70/7.43 | (1005) all_0_249_249 = e11
% 28.70/7.43 | (905) ~ (all_0_248_248 = e10)
% 28.70/7.43 |
% 28.70/7.43 | Combining equations (1005,850) yields a new equation:
% 28.70/7.43 | (959) e13 = e11
% 28.70/7.43 |
% 28.70/7.43 | Equations (959) can reduce 446 to:
% 28.70/7.43 | (537) $false
% 28.70/7.43 |
% 28.70/7.43 |-The branch is then unsatisfiable
% 28.70/7.43 |-Branch two:
% 28.70/7.43 | (782) ~ (all_0_254_254 = e13)
% 28.70/7.43 | (836) all_0_255_255 = e13 | all_0_257_257 = e13
% 28.70/7.43 |
% 28.70/7.43 +-Applying beta-rule and splitting (794), into two cases.
% 28.70/7.43 |-Branch one:
% 28.70/7.43 | (795) all_0_254_254 = e13
% 28.70/7.43 |
% 28.70/7.43 | Equations (795) can reduce 782 to:
% 28.70/7.43 | (537) $false
% 28.70/7.43 |
% 28.70/7.43 |-The branch is then unsatisfiable
% 28.70/7.43 |-Branch two:
% 28.70/7.43 | (782) ~ (all_0_254_254 = e13)
% 28.70/7.43 | (798) all_0_254_254 = e12
% 28.70/7.43 |
% 28.70/7.43 | Equations (798) can reduce 1426 to:
% 28.70/7.43 | (537) $false
% 28.70/7.43 |
% 28.70/7.43 |-The branch is then unsatisfiable
% 28.70/7.43 |-Branch two:
% 28.70/7.43 | (1181) ~ (all_0_249_249 = e13)
% 28.70/7.43 | (1182) all_0_253_253 = e13 | all_0_257_257 = e13
% 28.70/7.43 |
% 28.70/7.43 +-Applying beta-rule and splitting (2526), into two cases.
% 28.70/7.43 |-Branch one:
% 28.70/7.43 | (1183) all_0_253_253 = e13
% 28.70/7.43 |
% 28.70/7.43 | Equations (1183) can reduce 1186 to:
% 28.70/7.43 | (537) $false
% 28.70/7.43 |
% 28.70/7.43 |-The branch is then unsatisfiable
% 28.70/7.43 |-Branch two:
% 28.70/7.43 | (1186) ~ (all_0_253_253 = e13)
% 28.70/7.43 | (866) all_0_253_253 = e10
% 28.70/7.43 |
% 28.70/7.43 | Equations (866) can reduce 474 to:
% 28.70/7.43 | (864) ~ (all_0_249_249 = e10)
% 28.70/7.43 |
% 28.70/7.43 +-Applying beta-rule and splitting (1250), into two cases.
% 28.70/7.43 |-Branch one:
% 28.70/7.43 | (850) all_0_249_249 = e13
% 28.70/7.43 |
% 28.70/7.43 | Equations (850) can reduce 1181 to:
% 28.70/7.43 | (537) $false
% 28.70/7.43 |
% 28.70/7.43 |-The branch is then unsatisfiable
% 28.70/7.43 |-Branch two:
% 28.70/7.43 | (1181) ~ (all_0_249_249 = e13)
% 28.70/7.43 | (861) all_0_249_249 = e10
% 28.70/7.43 |
% 28.70/7.43 | Equations (861) can reduce 864 to:
% 28.70/7.43 | (537) $false
% 28.70/7.43 |
% 28.70/7.43 |-The branch is then unsatisfiable
% 28.70/7.43 |-Branch two:
% 28.70/7.43 | (778) ~ (all_0_251_251 = e13)
% 28.70/7.43 | (932) all_0_251_251 = e12 | all_0_251_251 = e10
% 28.70/7.43 |
% 28.70/7.43 +-Applying beta-rule and splitting (214), into two cases.
% 28.70/7.43 |-Branch one:
% 28.70/7.43 | (776) all_0_250_250 = e13
% 28.70/7.43 |
% 28.70/7.43 | Combining equations (716,776) yields a new equation:
% 28.70/7.43 | (959) e13 = e11
% 28.70/7.43 |
% 28.70/7.43 | Equations (959) can reduce 446 to:
% 28.70/7.43 | (537) $false
% 28.70/7.43 |
% 28.70/7.43 |-The branch is then unsatisfiable
% 28.70/7.43 |-Branch two:
% 28.70/7.43 | (1417) ~ (all_0_250_250 = e13)
% 28.70/7.43 | (1418) all_0_251_251 = e13 | all_0_253_253 = e13
% 28.70/7.43 |
% 28.70/7.43 +-Applying beta-rule and splitting (189), into two cases.
% 28.70/7.43 |-Branch one:
% 28.70/7.43 | (1191) all_0_247_247 = e13
% 28.70/7.43 |
% 28.70/7.43 | Combining equations (902,1191) yields a new equation:
% 28.70/7.43 | (862) e13 = e10
% 28.70/7.43 |
% 28.70/7.43 | Equations (862) can reduce 210 to:
% 28.70/7.43 | (537) $false
% 28.70/7.43 |
% 28.70/7.43 |-The branch is then unsatisfiable
% 28.70/7.43 |-Branch two:
% 28.70/7.43 | (1405) ~ (all_0_247_247 = e13)
% 28.70/7.43 | (1406) all_0_251_251 = e13 | all_0_255_255 = e13
% 28.70/7.43 |
% 28.70/7.43 | Equations (902) can reduce 1405 to:
% 28.70/7.43 | (872) ~ (e13 = e10)
% 28.70/7.43 |
% 28.70/7.43 | Simplifying 872 yields:
% 28.70/7.43 | (210) ~ (e13 = e10)
% 28.70/7.43 |
% 28.70/7.43 +-Applying beta-rule and splitting (1418), into two cases.
% 28.70/7.43 |-Branch one:
% 28.70/7.43 | (929) all_0_251_251 = e13
% 28.70/7.43 |
% 28.70/7.43 | Equations (929) can reduce 778 to:
% 28.70/7.43 | (537) $false
% 28.70/7.43 |
% 28.70/7.43 |-The branch is then unsatisfiable
% 28.70/7.43 |-Branch two:
% 28.70/7.43 | (778) ~ (all_0_251_251 = e13)
% 28.70/7.43 | (1183) all_0_253_253 = e13
% 28.70/7.43 |
% 28.70/7.43 +-Applying beta-rule and splitting (1226), into two cases.
% 28.70/7.43 |-Branch one:
% 28.70/7.43 | (918) all_0_252_252 = e10
% 28.70/7.43 |
% 28.70/7.43 | Combining equations (918,1056) yields a new equation:
% 28.70/7.43 | (952) e12 = e10
% 28.70/7.43 |
% 28.70/7.43 | Equations (952) can reduce 8 to:
% 28.70/7.43 | (537) $false
% 28.70/7.43 |
% 28.70/7.43 |-The branch is then unsatisfiable
% 28.70/7.43 |-Branch two:
% 28.70/7.43 | (1020) ~ (all_0_252_252 = e10)
% 28.70/7.43 | (866) all_0_253_253 = e10
% 28.70/7.43 |
% 28.70/7.43 | Combining equations (1183,866) yields a new equation:
% 28.70/7.43 | (983) e13 = e10
% 28.70/7.43 |
% 28.70/7.43 | Simplifying 983 yields:
% 28.70/7.43 | (862) e13 = e10
% 28.70/7.43 |
% 28.70/7.43 | Equations (862) can reduce 210 to:
% 28.70/7.43 | (537) $false
% 28.70/7.43 |
% 28.70/7.43 |-The branch is then unsatisfiable
% 28.70/7.43 |-Branch two:
% 28.70/7.43 | (774) ~ (all_0_246_246 = e12)
% 28.70/7.43 | (775) all_0_247_247 = e12 | all_0_248_248 = e12
% 28.70/7.43 |
% 28.70/7.43 +-Applying beta-rule and splitting (1151), into two cases.
% 28.70/7.43 |-Branch one:
% 28.70/7.43 | (933) all_0_251_251 = e12
% 28.70/7.43 |
% 28.70/7.43 | Equations (933) can reduce 1010 to:
% 28.70/7.43 | (537) $false
% 28.70/7.43 |
% 28.70/7.43 |-The branch is then unsatisfiable
% 28.70/7.43 |-Branch two:
% 28.70/7.43 | (1010) ~ (all_0_251_251 = e12)
% 28.70/7.43 | (1403) all_0_255_255 = e12
% 28.70/7.43 |
% 28.70/7.43 | Equations (1403) can reduce 134 to:
% 28.70/7.43 | (113) ~ (e12 = e11)
% 28.70/7.43 |
% 28.70/7.43 | Equations (1403) can reduce 1498 to:
% 28.70/7.43 | (8) ~ (e12 = e10)
% 28.70/7.43 |
% 28.70/7.43 +-Applying beta-rule and splitting (775), into two cases.
% 28.70/7.43 |-Branch one:
% 28.70/7.43 | (1051) all_0_247_247 = e12
% 28.70/7.43 |
% 28.70/7.43 | Combining equations (902,1051) yields a new equation:
% 28.70/7.43 | (952) e12 = e10
% 28.70/7.43 |
% 28.70/7.43 | Equations (952) can reduce 8 to:
% 28.70/7.43 | (537) $false
% 28.70/7.43 |
% 28.70/7.43 |-The branch is then unsatisfiable
% 28.70/7.43 |-Branch two:
% 28.70/7.43 | (1150) ~ (all_0_247_247 = e12)
% 28.70/7.43 | (927) all_0_248_248 = e12
% 28.70/7.43 |
% 28.70/7.43 | Combining equations (734,927) yields a new equation:
% 28.70/7.43 | (772) e12 = e11
% 28.70/7.43 |
% 28.70/7.43 | Equations (772) can reduce 113 to:
% 28.70/7.43 | (537) $false
% 28.70/7.43 |
% 28.70/7.43 |-The branch is then unsatisfiable
% 28.70/7.43 |-Branch two:
% 28.70/7.43 | (1025) ~ (all_0_247_247 = e10)
% 28.70/7.43 | (1026) all_0_251_251 = e10 | all_0_255_255 = e10
% 28.70/7.43 |
% 28.70/7.43 +-Applying beta-rule and splitting (1026), into two cases.
% 28.70/7.43 |-Branch one:
% 28.70/7.43 | (1011) all_0_251_251 = e10
% 28.70/7.43 |
% 28.70/7.43 | Equations (1011) can reduce 921 to:
% 28.70/7.43 | (537) $false
% 28.70/7.43 |
% 28.70/7.43 |-The branch is then unsatisfiable
% 28.70/7.43 |-Branch two:
% 28.70/7.43 | (921) ~ (all_0_251_251 = e10)
% 28.70/7.43 | (1178) all_0_255_255 = e10
% 28.70/7.43 |
% 28.70/7.43 | Equations (1178) can reduce 1498 to:
% 28.70/7.43 | (537) $false
% 28.70/7.43 |
% 28.70/7.43 |-The branch is then unsatisfiable
% 28.70/7.43 |-Branch two:
% 28.70/7.43 | (1147) ~ (all_0_252_252 = e12)
% 28.70/7.43 | (1676) all_0_256_256 = e12
% 28.70/7.43 |
% 28.70/7.43 | Combining equations (1676,1021) yields a new equation:
% 28.70/7.43 | (1159) e12 = e10
% 28.70/7.43 |
% 28.70/7.43 | Simplifying 1159 yields:
% 28.70/7.43 | (952) e12 = e10
% 28.70/7.43 |
% 28.70/7.43 | Equations (952) can reduce 8 to:
% 28.70/7.43 | (537) $false
% 28.70/7.43 |
% 28.70/7.43 |-The branch is then unsatisfiable
% 28.70/7.43 |-Branch two:
% 28.70/7.43 | (1521) ~ (all_0_256_256 = e10)
% 28.70/7.43 | (871) all_0_257_257 = e10
% 28.70/7.43 |
% 28.70/7.43 | Combining equations (1505,871) yields a new equation:
% 28.70/7.43 | (867) e11 = e10
% 28.70/7.43 |
% 28.70/7.43 | Simplifying 867 yields:
% 28.70/7.43 | (868) e11 = e10
% 28.70/7.43 |
% 28.70/7.43 | Equations (868) can reduce 293 to:
% 28.70/7.43 | (537) $false
% 28.70/7.43 |
% 28.70/7.43 |-The branch is then unsatisfiable
% 28.70/7.43 |-Branch two:
% 28.70/7.43 | (724) ~ (all_0_248_248 = e11)
% 28.70/7.43 | (1005) all_0_249_249 = e11
% 28.70/7.43 |
% 28.70/7.43 | Equations (1005) can reduce 694 to:
% 28.70/7.43 | (537) $false
% 28.70/7.43 |
% 28.70/7.43 |-The branch is then unsatisfiable
% 28.70/7.43 |-Branch two:
% 28.70/7.43 | (695) ~ (all_0_250_250 = e11)
% 28.70/7.43 | (4522) all_0_252_252 = e11 | all_0_253_253 = e11
% 28.70/7.43 |
% 28.70/7.43 +-Applying beta-rule and splitting (4522), into two cases.
% 28.70/7.43 |-Branch one:
% 28.70/7.43 | (738) all_0_252_252 = e11
% 28.70/7.43 |
% 28.70/7.43 | Equations (738) can reduce 153 to:
% 28.70/7.43 | (724) ~ (all_0_248_248 = e11)
% 28.70/7.43 |
% 28.70/7.43 | Equations (738) can reduce 458 to:
% 28.70/7.43 | (108) ~ (all_0_251_251 = e11)
% 28.70/7.43 |
% 28.70/7.43 | Equations (738) can reduce 25 to:
% 28.70/7.43 | (2533) ~ (all_0_253_253 = e11)
% 28.70/7.43 |
% 28.70/7.43 | Simplifying 2533 yields:
% 28.70/7.43 | (2525) ~ (all_0_253_253 = e11)
% 28.70/7.43 |
% 28.70/7.43 | Equations (738) can reduce 162 to:
% 28.70/7.43 | (1719) ~ (all_0_256_256 = e11)
% 28.70/7.43 |
% 28.70/7.43 | Simplifying 1719 yields:
% 28.70/7.43 | (1720) ~ (all_0_256_256 = e11)
% 28.70/7.43 |
% 28.70/7.43 | Equations (738) can reduce 295 to:
% 28.70/7.43 | (748) ~ (e13 = e11)
% 28.70/7.43 |
% 28.70/7.43 | Simplifying 748 yields:
% 28.70/7.43 | (446) ~ (e13 = e11)
% 28.70/7.43 |
% 28.70/7.43 | From (738) and (190) follows:
% 28.70/7.43 | (4532) op1(e11, e12) = all_0_218_218
% 28.70/7.43 |
% 28.70/7.43 | From (738) and (319) follows:
% 28.70/7.43 | (4533) op1(e11, e11) = all_0_217_217
% 28.70/7.43 |
% 28.70/7.43 | From (738) and (423) follows:
% 28.70/7.43 | (4534) op1(e13, e11) = all_0_183_183
% 28.70/7.43 |
% 28.70/7.43 | From (738) and (435) follows:
% 28.70/7.43 | (4535) op1(e12, e11) = all_0_219_219
% 28.70/7.43 |
% 28.70/7.43 | From (738) and (136) follows:
% 28.70/7.43 | (4536) op1(e12, e11) = e11
% 28.70/7.43 |
% 28.70/7.43 | From (738) and (369) follows:
% 28.70/7.43 | (4537) op1(e11, e11) = all_0_184_184
% 28.70/7.43 |
% 28.70/7.43 | From (738) and (80) follows:
% 28.70/7.43 | (4538) op1(e10, e11) = all_0_185_185
% 28.70/7.43 |
% 28.70/7.43 | From (738) and (206) follows:
% 28.97/7.43 | (4539) h1(e11) = all_0_87_87
% 28.97/7.43 |
% 28.97/7.43 | Instantiating formula (144) with e13, e11, all_0_183_183, all_0_248_248 and discharging atoms op1(e13, e11) = all_0_183_183, op1(e13, e11) = all_0_248_248, yields:
% 28.97/7.43 | (4540) all_0_183_183 = all_0_248_248
% 28.97/7.43 |
% 28.97/7.43 | Instantiating formula (144) with e12, e11, e11, all_0_219_219 and discharging atoms op1(e12, e11) = all_0_219_219, op1(e12, e11) = e11, yields:
% 28.97/7.43 | (939) all_0_219_219 = e11
% 28.97/7.43 |
% 28.97/7.44 | Instantiating formula (144) with e11, e12, all_0_218_218, all_0_255_255 and discharging atoms op1(e11, e12) = all_0_218_218, op1(e11, e12) = all_0_255_255, yields:
% 28.97/7.44 | (4542) all_0_218_218 = all_0_255_255
% 28.97/7.44 |
% 28.97/7.44 | Instantiating formula (144) with e11, e11, all_0_184_184, all_0_256_256 and discharging atoms op1(e11, e11) = all_0_184_184, op1(e11, e11) = all_0_256_256, yields:
% 28.97/7.44 | (4543) all_0_184_184 = all_0_256_256
% 28.97/7.44 |
% 28.97/7.44 | Instantiating formula (144) with e11, e11, all_0_217_217, all_0_184_184 and discharging atoms op1(e11, e11) = all_0_184_184, op1(e11, e11) = all_0_217_217, yields:
% 28.97/7.44 | (4544) all_0_184_184 = all_0_217_217
% 28.97/7.44 |
% 28.97/7.44 | Instantiating formula (144) with e10, e11, all_0_185_185, e13 and discharging atoms op1(e10, e11) = all_0_185_185, op1(e10, e11) = e13, yields:
% 28.97/7.44 | (4545) all_0_185_185 = e13
% 28.97/7.44 |
% 28.97/7.44 | Instantiating formula (10) with e11, all_0_87_87, e21 and discharging atoms h1(e11) = all_0_87_87, h1(e11) = e21, yields:
% 28.97/7.44 | (4546) all_0_87_87 = e21
% 28.97/7.44 |
% 28.97/7.44 | Combining equations (4544,4543) yields a new equation:
% 28.97/7.44 | (4547) all_0_217_217 = all_0_256_256
% 28.97/7.44 |
% 28.97/7.44 | Simplifying 4547 yields:
% 28.97/7.44 | (4548) all_0_217_217 = all_0_256_256
% 28.97/7.44 |
% 28.97/7.44 | From (4540) and (4534) follows:
% 28.97/7.44 | (24) op1(e13, e11) = all_0_248_248
% 28.97/7.44 |
% 28.97/7.44 | From (939) and (4535) follows:
% 28.97/7.44 | (4536) op1(e12, e11) = e11
% 28.97/7.44 |
% 28.97/7.44 | From (4548) and (4533) follows:
% 28.97/7.44 | (223) op1(e11, e11) = all_0_256_256
% 28.97/7.44 |
% 28.97/7.44 | From (4545) and (4538) follows:
% 28.97/7.44 | (99) op1(e10, e11) = e13
% 28.97/7.44 |
% 28.97/7.44 | From (4546) and (4539) follows:
% 28.97/7.44 | (321) h1(e11) = e21
% 28.97/7.44 |
% 28.97/7.44 +-Applying beta-rule and splitting (424), into two cases.
% 28.97/7.44 |-Branch one:
% 28.97/7.44 | (1005) all_0_249_249 = e11
% 28.97/7.44 |
% 28.97/7.44 | Equations (1005) can reduce 343 to:
% 28.97/7.44 | (724) ~ (all_0_248_248 = e11)
% 28.97/7.44 |
% 28.97/7.44 | Equations (1005) can reduce 474 to:
% 28.97/7.44 | (2533) ~ (all_0_253_253 = e11)
% 28.97/7.44 |
% 28.97/7.44 | Simplifying 2533 yields:
% 28.97/7.44 | (2525) ~ (all_0_253_253 = e11)
% 28.97/7.44 |
% 28.97/7.44 | Equations (1005) can reduce 61 to:
% 28.97/7.44 | (746) ~ (all_0_257_257 = e11)
% 28.97/7.44 |
% 28.97/7.44 | Simplifying 746 yields:
% 28.97/7.44 | (747) ~ (all_0_257_257 = e11)
% 28.97/7.44 |
% 28.97/7.44 | From (1005) and (375) follows:
% 28.97/7.44 | (2563) op1(e11, e13) = all_0_210_210
% 28.97/7.44 |
% 28.97/7.44 | From (1005) and (209) follows:
% 28.97/7.44 | (2564) op1(e13, e11) = all_0_211_211
% 28.97/7.44 |
% 28.97/7.44 | From (1005) and (260) follows:
% 28.97/7.44 | (2565) op1(e13, e10) = e11
% 28.97/7.44 |
% 28.97/7.44 | From (1005) and (282) follows:
% 28.97/7.44 | (2568) op1(e10, e11) = all_0_176_176
% 28.97/7.44 |
% 28.97/7.44 | From (1005) and (444) follows:
% 28.97/7.44 | (4564) h1(e11) = all_0_84_84
% 28.97/7.44 |
% 28.97/7.44 +-Applying beta-rule and splitting (429), into two cases.
% 28.97/7.44 |-Branch one:
% 28.97/7.44 | (791) all_0_254_254 = e11
% 28.97/7.44 |
% 28.97/7.44 | Equations (791) can reduce 236 to:
% 28.97/7.44 | (1692) ~ (all_0_246_246 = e11)
% 28.97/7.44 |
% 28.97/7.44 | Equations (791) can reduce 378 to:
% 28.97/7.44 | (695) ~ (all_0_250_250 = e11)
% 28.97/7.44 |
% 28.97/7.44 | Equations (791) can reduce 12 to:
% 28.97/7.44 | (1717) ~ (all_0_255_255 = e11)
% 28.97/7.44 |
% 28.97/7.44 | Simplifying 1717 yields:
% 28.97/7.44 | (134) ~ (all_0_255_255 = e11)
% 28.97/7.44 |
% 28.97/7.44 | Equations (791) can reduce 211 to:
% 28.97/7.44 | (1719) ~ (all_0_256_256 = e11)
% 28.97/7.44 |
% 28.97/7.44 | Simplifying 1719 yields:
% 28.97/7.44 | (1720) ~ (all_0_256_256 = e11)
% 28.97/7.44 |
% 28.97/7.44 | Equations (791) can reduce 242 to:
% 28.97/7.44 | (746) ~ (all_0_257_257 = e11)
% 28.97/7.44 |
% 28.97/7.44 | Simplifying 746 yields:
% 28.97/7.44 | (747) ~ (all_0_257_257 = e11)
% 28.97/7.44 |
% 28.97/7.44 | Equations (791) can reduce 142 to:
% 28.97/7.44 | (293) ~ (e11 = e10)
% 28.97/7.44 |
% 28.97/7.44 | From (791) and (450) follows:
% 28.97/7.44 | (4575) op1(e11, e13) = all_0_223_223
% 28.97/7.44 |
% 28.97/7.44 | From (791) and (301) follows:
% 28.97/7.44 | (1724) op1(e11, e11) = all_0_224_224
% 28.97/7.44 |
% 28.97/7.44 | From (791) and (420) follows:
% 28.97/7.44 | (1725) op1(e13, e11) = all_0_189_189
% 28.97/7.44 |
% 28.97/7.44 | From (791) and (241) follows:
% 28.97/7.44 | (4578) op1(e11, e13) = e11
% 28.97/7.44 |
% 28.97/7.44 | From (791) and (243) follows:
% 28.97/7.44 | (1727) op1(e10, e11) = all_0_191_191
% 28.97/7.44 |
% 28.97/7.44 | From (791) and (192) follows:
% 28.97/7.44 | (4580) h1(e11) = all_0_89_89
% 28.97/7.44 |
% 28.97/7.44 | Instantiating formula (144) with e13, e11, all_0_189_189, all_0_248_248 and discharging atoms op1(e13, e11) = all_0_189_189, op1(e13, e11) = all_0_248_248, yields:
% 28.97/7.44 | (4581) all_0_189_189 = all_0_248_248
% 28.97/7.44 |
% 28.97/7.44 | Instantiating formula (144) with e13, e11, all_0_211_211, all_0_189_189 and discharging atoms op1(e13, e11) = all_0_189_189, op1(e13, e11) = all_0_211_211, yields:
% 28.97/7.44 | (4337) all_0_189_189 = all_0_211_211
% 28.97/7.44 |
% 28.97/7.44 | Instantiating formula (144) with e11, e13, all_0_223_223, all_0_210_210 and discharging atoms op1(e11, e13) = all_0_210_210, op1(e11, e13) = all_0_223_223, yields:
% 28.97/7.44 | (4357) all_0_210_210 = all_0_223_223
% 28.97/7.44 |
% 28.97/7.44 | Instantiating formula (144) with e11, e13, e11, all_0_210_210 and discharging atoms op1(e11, e13) = all_0_210_210, op1(e11, e13) = e11, yields:
% 28.97/7.44 | (878) all_0_210_210 = e11
% 28.97/7.44 |
% 28.97/7.44 | Instantiating formula (144) with e11, e11, all_0_224_224, all_0_256_256 and discharging atoms op1(e11, e11) = all_0_224_224, op1(e11, e11) = all_0_256_256, yields:
% 28.97/7.44 | (1731) all_0_224_224 = all_0_256_256
% 28.97/7.44 |
% 28.97/7.44 | Instantiating formula (144) with e10, e11, all_0_176_176, e13 and discharging atoms op1(e10, e11) = all_0_176_176, op1(e10, e11) = e13, yields:
% 28.97/7.44 | (2596) all_0_176_176 = e13
% 28.97/7.44 |
% 28.97/7.44 | Instantiating formula (144) with e10, e11, all_0_191_191, all_0_176_176 and discharging atoms op1(e10, e11) = all_0_176_176, op1(e10, e11) = all_0_191_191, yields:
% 28.97/7.44 | (1552) all_0_176_176 = all_0_191_191
% 28.97/7.44 |
% 28.97/7.44 | Instantiating formula (10) with e11, all_0_84_84, e21 and discharging atoms h1(e11) = all_0_84_84, h1(e11) = e21, yields:
% 28.97/7.44 | (4588) all_0_84_84 = e21
% 28.97/7.44 |
% 28.97/7.44 | Instantiating formula (10) with e11, all_0_89_89, all_0_84_84 and discharging atoms h1(e11) = all_0_84_84, h1(e11) = all_0_89_89, yields:
% 28.97/7.44 | (4589) all_0_84_84 = all_0_89_89
% 28.97/7.44 |
% 28.97/7.44 | Combining equations (4588,4589) yields a new equation:
% 28.97/7.44 | (4590) all_0_89_89 = e21
% 28.97/7.44 |
% 28.97/7.44 | Combining equations (1552,2596) yields a new equation:
% 28.97/7.44 | (1738) all_0_191_191 = e13
% 28.97/7.44 |
% 28.97/7.44 | Simplifying 1738 yields:
% 28.97/7.44 | (1739) all_0_191_191 = e13
% 28.97/7.44 |
% 28.97/7.44 | Combining equations (4581,4337) yields a new equation:
% 28.97/7.44 | (2604) all_0_211_211 = all_0_248_248
% 28.97/7.44 |
% 28.97/7.44 | Combining equations (878,4357) yields a new equation:
% 28.97/7.44 | (2951) all_0_223_223 = e11
% 28.97/7.44 |
% 28.97/7.44 | Combining equations (2951,4357) yields a new equation:
% 28.97/7.44 | (878) all_0_210_210 = e11
% 28.97/7.44 |
% 28.97/7.44 | Combining equations (4590,4589) yields a new equation:
% 28.97/7.44 | (4588) all_0_84_84 = e21
% 28.97/7.44 |
% 28.97/7.44 | From (2604) and (2564) follows:
% 28.97/7.44 | (24) op1(e13, e11) = all_0_248_248
% 28.97/7.44 |
% 28.97/7.44 | From (1739) and (1727) follows:
% 28.97/7.45 | (99) op1(e10, e11) = e13
% 28.97/7.45 |
% 28.97/7.45 +-Applying beta-rule and splitting (349), into two cases.
% 28.97/7.45 |-Branch one:
% 28.97/7.45 | (716) all_0_250_250 = e11
% 28.97/7.45 |
% 28.97/7.45 | Equations (716) can reduce 695 to:
% 28.97/7.45 | (537) $false
% 28.97/7.45 |
% 28.97/7.45 |-The branch is then unsatisfiable
% 28.97/7.45 |-Branch two:
% 28.97/7.45 | (695) ~ (all_0_250_250 = e11)
% 28.97/7.45 | (719) all_0_250_250 = e13 | all_0_250_250 = e12
% 28.97/7.45 |
% 28.97/7.45 +-Applying beta-rule and splitting (185), into two cases.
% 28.97/7.45 |-Branch one:
% 28.97/7.45 | (1505) all_0_257_257 = e11
% 28.97/7.45 |
% 28.97/7.45 | Equations (1505) can reduce 747 to:
% 28.97/7.45 | (537) $false
% 28.97/7.45 |
% 28.97/7.45 |-The branch is then unsatisfiable
% 28.97/7.45 |-Branch two:
% 28.97/7.45 | (747) ~ (all_0_257_257 = e11)
% 28.97/7.45 | (1508) all_0_257_257 = e13 | all_0_257_257 = e10
% 28.97/7.45 |
% 28.97/7.45 +-Applying beta-rule and splitting (409), into two cases.
% 28.97/7.45 |-Branch one:
% 28.97/7.45 | (910) all_0_248_248 = e10
% 28.97/7.45 |
% 28.97/7.45 | Equations (910) can reduce 298 to:
% 28.97/7.45 | (116) ~ (all_0_246_246 = e10)
% 28.97/7.45 |
% 28.97/7.45 | Equations (910) can reduce 271 to:
% 28.97/7.45 | (1025) ~ (all_0_247_247 = e10)
% 28.97/7.45 |
% 28.97/7.45 | Equations (910) can reduce 478 to:
% 28.97/7.45 | (3605) ~ (all_0_256_256 = e10)
% 28.97/7.45 |
% 28.97/7.45 | Simplifying 3605 yields:
% 28.97/7.45 | (1521) ~ (all_0_256_256 = e10)
% 28.97/7.45 |
% 28.97/7.45 | Equations (910) can reduce 724 to:
% 28.97/7.45 | (906) ~ (e11 = e10)
% 28.97/7.45 |
% 28.97/7.45 | Simplifying 906 yields:
% 28.97/7.45 | (293) ~ (e11 = e10)
% 28.97/7.45 |
% 28.97/7.45 | From (910) and (410) follows:
% 28.97/7.45 | (1043) op1(e10, e13) = all_0_207_207
% 28.97/7.45 |
% 28.97/7.45 | From (910) and (170) follows:
% 28.97/7.45 | (2673) op1(e10, e11) = all_0_206_206
% 28.97/7.45 |
% 28.97/7.45 | From (910) and (304) follows:
% 28.97/7.45 | (2992) op1(e13, e10) = all_0_208_208
% 28.97/7.45 |
% 28.97/7.45 | From (910) and (24) follows:
% 28.97/7.45 | (2674) op1(e13, e11) = e10
% 28.97/7.45 |
% 28.97/7.45 +-Applying beta-rule and splitting (274), into two cases.
% 28.97/7.45 |-Branch one:
% 28.97/7.45 | (741) all_0_256_256 = e11
% 28.97/7.45 |
% 28.97/7.45 | Equations (741) can reduce 1720 to:
% 28.97/7.45 | (537) $false
% 28.97/7.45 |
% 28.97/7.45 |-The branch is then unsatisfiable
% 28.97/7.45 |-Branch two:
% 28.97/7.45 | (1720) ~ (all_0_256_256 = e11)
% 28.97/7.45 | (1776) all_0_256_256 = e12 | all_0_256_256 = e10
% 28.97/7.45 |
% 28.97/7.45 +-Applying beta-rule and splitting (1776), into two cases.
% 28.97/7.45 |-Branch one:
% 28.97/7.45 | (1676) all_0_256_256 = e12
% 28.97/7.45 |
% 28.97/7.45 | Combining equations (1676,1731) yields a new equation:
% 28.97/7.45 | (1057) all_0_224_224 = e12
% 28.97/7.45 |
% 28.97/7.45 | Equations (1676) can reduce 227 to:
% 28.97/7.45 | (801) ~ (all_0_257_257 = e12)
% 28.97/7.45 |
% 28.97/7.45 | Simplifying 801 yields:
% 28.97/7.45 | (384) ~ (all_0_257_257 = e12)
% 28.97/7.45 |
% 28.97/7.45 | Equations (1676) can reduce 36 to:
% 28.97/7.45 | (803) ~ (e13 = e12)
% 28.97/7.45 |
% 28.97/7.45 | Simplifying 803 yields:
% 28.97/7.45 | (305) ~ (e13 = e12)
% 28.97/7.45 |
% 28.97/7.45 | Equations (1676) can reduce 1521 to:
% 28.97/7.45 | (8) ~ (e12 = e10)
% 28.97/7.45 |
% 28.97/7.45 | From (1676) and (193) follows:
% 28.97/7.45 | (3623) op1(e13, e12) = all_0_195_195
% 28.97/7.45 |
% 28.97/7.45 | From (1676) and (138) follows:
% 28.97/7.45 | (3624) op1(e12, e12) = all_0_196_196
% 28.97/7.45 |
% 28.97/7.45 | From (1676) and (422) follows:
% 28.97/7.45 | (4631) op1(e10, e12) = all_0_197_197
% 28.97/7.45 |
% 28.97/7.45 | Instantiating formula (144) with e13, e12, all_0_195_195, all_0_247_247 and discharging atoms op1(e13, e12) = all_0_195_195, op1(e13, e12) = all_0_247_247, yields:
% 28.97/7.45 | (4632) all_0_195_195 = all_0_247_247
% 28.97/7.45 |
% 28.97/7.45 | Instantiating formula (144) with e13, e10, all_0_208_208, e11 and discharging atoms op1(e13, e10) = all_0_208_208, op1(e13, e10) = e11, yields:
% 28.97/7.45 | (1741) all_0_208_208 = e11
% 28.97/7.45 |
% 28.97/7.45 | Instantiating formula (144) with e12, e12, all_0_196_196, all_0_251_251 and discharging atoms op1(e12, e12) = all_0_196_196, op1(e12, e12) = all_0_251_251, yields:
% 28.97/7.45 | (4634) all_0_196_196 = all_0_251_251
% 28.97/7.45 |
% 28.97/7.45 | Instantiating formula (144) with e10, e13, all_0_207_207, e10 and discharging atoms op1(e10, e13) = all_0_207_207, op1(e10, e13) = e10, yields:
% 28.97/7.45 | (1068) all_0_207_207 = e10
% 28.97/7.45 |
% 28.97/7.45 | Instantiating formula (144) with e10, e12, all_0_197_197, e11 and discharging atoms op1(e10, e12) = all_0_197_197, op1(e10, e12) = e11, yields:
% 28.97/7.45 | (4636) all_0_197_197 = e11
% 28.97/7.45 |
% 28.97/7.45 | Instantiating formula (144) with e10, e11, all_0_206_206, e13 and discharging atoms op1(e10, e11) = all_0_206_206, op1(e10, e11) = e13, yields:
% 28.97/7.45 | (2766) all_0_206_206 = e13
% 28.97/7.45 |
% 28.97/7.45 | From (4632) and (3623) follows:
% 28.97/7.45 | (62) op1(e13, e12) = all_0_247_247
% 28.97/7.45 |
% 28.97/7.45 | From (1741) and (2992) follows:
% 28.97/7.45 | (2565) op1(e13, e10) = e11
% 28.97/7.45 |
% 28.97/7.45 | From (4634) and (3624) follows:
% 28.97/7.45 | (89) op1(e12, e12) = all_0_251_251
% 28.97/7.45 |
% 28.97/7.45 | From (4636) and (4631) follows:
% 28.97/7.45 | (21) op1(e10, e12) = e11
% 28.97/7.45 |
% 28.97/7.45 | From (2766) and (2673) follows:
% 28.97/7.45 | (99) op1(e10, e11) = e13
% 28.97/7.45 |
% 28.97/7.45 +-Applying beta-rule and splitting (125), into two cases.
% 28.97/7.45 |-Branch one:
% 28.97/7.45 | (1465) all_0_246_246 = e13
% 28.97/7.45 |
% 28.97/7.45 | Equations (1465) can reduce 47 to:
% 28.97/7.45 | (4644) ~ (all_0_250_250 = e13)
% 28.97/7.45 |
% 28.97/7.45 | Simplifying 4644 yields:
% 28.97/7.45 | (1417) ~ (all_0_250_250 = e13)
% 28.97/7.45 |
% 28.97/7.45 | Equations (1465) can reduce 116 to:
% 28.97/7.45 | (210) ~ (e13 = e10)
% 28.97/7.45 |
% 28.97/7.45 +-Applying beta-rule and splitting (29), into two cases.
% 28.97/7.45 |-Branch one:
% 28.97/7.45 | (770) all_0_246_246 = e12
% 28.97/7.45 |
% 28.97/7.45 | Combining equations (1465,770) yields a new equation:
% 28.97/7.45 | (832) e13 = e12
% 28.97/7.45 |
% 28.97/7.45 | Simplifying 832 yields:
% 28.97/7.45 | (833) e13 = e12
% 28.97/7.45 |
% 28.97/7.45 | Equations (833) can reduce 305 to:
% 28.97/7.45 | (537) $false
% 28.97/7.45 |
% 28.97/7.45 |-The branch is then unsatisfiable
% 28.97/7.45 |-Branch two:
% 28.97/7.45 | (774) ~ (all_0_246_246 = e12)
% 28.97/7.45 | (775) all_0_247_247 = e12 | all_0_248_248 = e12
% 28.97/7.45 |
% 28.97/7.45 +-Applying beta-rule and splitting (775), into two cases.
% 28.97/7.45 |-Branch one:
% 28.97/7.45 | (1051) all_0_247_247 = e12
% 28.97/7.45 |
% 28.97/7.45 | Equations (1051) can reduce 240 to:
% 28.97/7.45 | (799) ~ (all_0_255_255 = e12)
% 28.97/7.45 |
% 28.97/7.45 | Simplifying 799 yields:
% 28.97/7.45 | (800) ~ (all_0_255_255 = e12)
% 28.97/7.45 |
% 28.97/7.45 | From (1051) and (230) follows:
% 28.97/7.45 | (1054) op1(e12, e12) = all_0_203_203
% 28.97/7.45 |
% 28.97/7.45 | From (1051) and (213) follows:
% 28.97/7.45 | (2403) op1(e13, e12) = all_0_205_205
% 28.97/7.45 |
% 28.97/7.45 | From (1051) and (62) follows:
% 28.97/7.45 | (2404) op1(e13, e12) = e12
% 28.97/7.45 |
% 28.97/7.45 | From (1051) and (117) follows:
% 28.97/7.45 | (1055) op1(e12, e12) = all_0_168_168
% 28.97/7.45 |
% 28.97/7.45 | From (1051) and (315) follows:
% 28.97/7.45 | (2974) op1(e10, e12) = all_0_170_170
% 28.97/7.45 |
% 28.97/7.45 +-Applying beta-rule and splitting (719), into two cases.
% 28.97/7.45 |-Branch one:
% 28.97/7.45 | (776) all_0_250_250 = e13
% 28.97/7.45 |
% 28.97/7.45 | Equations (776) can reduce 1417 to:
% 28.97/7.45 | (537) $false
% 28.97/7.45 |
% 28.97/7.45 |-The branch is then unsatisfiable
% 28.97/7.45 |-Branch two:
% 28.97/7.45 | (1417) ~ (all_0_250_250 = e13)
% 28.97/7.45 | (1152) all_0_250_250 = e12
% 28.97/7.45 |
% 28.97/7.45 | Equations (1152) can reduce 224 to:
% 28.97/7.45 | (4665) ~ (all_0_251_251 = e12)
% 28.97/7.45 |
% 28.97/7.45 | Simplifying 4665 yields:
% 28.97/7.45 | (1010) ~ (all_0_251_251 = e12)
% 28.97/7.45 |
% 28.97/7.45 | Equations (1152) can reduce 111 to:
% 28.97/7.45 | (2658) ~ (all_0_253_253 = e12)
% 28.97/7.45 |
% 28.97/7.45 | Simplifying 2658 yields:
% 28.97/7.45 | (46) ~ (all_0_253_253 = e12)
% 28.97/7.45 |
% 28.97/7.45 | Equations (1152) can reduce 1417 to:
% 28.97/7.45 | (803) ~ (e13 = e12)
% 28.97/7.45 |
% 28.97/7.45 | Simplifying 803 yields:
% 28.97/7.45 | (305) ~ (e13 = e12)
% 28.97/7.45 |
% 28.97/7.45 | From (1152) and (103) follows:
% 28.97/7.45 | (1429) op1(e12, e12) = all_0_213_213
% 28.97/7.45 |
% 28.97/7.45 | From (1152) and (470) follows:
% 28.97/7.45 | (4672) op1(e13, e12) = all_0_177_177
% 28.97/7.45 |
% 28.97/7.45 | From (1152) and (173) follows:
% 28.97/7.45 | (1430) op1(e12, e12) = all_0_214_214
% 28.97/7.45 |
% 28.97/7.45 | From (1152) and (158) follows:
% 28.97/7.45 | (4674) op1(e10, e12) = all_0_179_179
% 28.97/7.45 |
% 28.97/7.45 | Instantiating formula (144) with e13, e12, all_0_205_205, all_0_177_177 and discharging atoms op1(e13, e12) = all_0_177_177, op1(e13, e12) = all_0_205_205, yields:
% 28.97/7.45 | (4675) all_0_177_177 = all_0_205_205
% 28.97/7.45 |
% 28.97/7.45 | Instantiating formula (144) with e13, e12, e12, all_0_177_177 and discharging atoms op1(e13, e12) = all_0_177_177, op1(e13, e12) = e12, yields:
% 28.97/7.46 | (4676) all_0_177_177 = e12
% 28.97/7.46 |
% 28.97/7.46 | Instantiating formula (144) with e12, e12, all_0_203_203, all_0_251_251 and discharging atoms op1(e12, e12) = all_0_203_203, op1(e12, e12) = all_0_251_251, yields:
% 28.97/7.46 | (3007) all_0_203_203 = all_0_251_251
% 28.97/7.46 |
% 28.97/7.46 | Instantiating formula (144) with e12, e12, all_0_203_203, all_0_168_168 and discharging atoms op1(e12, e12) = all_0_168_168, op1(e12, e12) = all_0_203_203, yields:
% 28.97/7.46 | (1064) all_0_168_168 = all_0_203_203
% 28.97/7.46 |
% 28.97/7.46 | Instantiating formula (144) with e12, e12, all_0_213_213, all_0_168_168 and discharging atoms op1(e12, e12) = all_0_168_168, op1(e12, e12) = all_0_213_213, yields:
% 28.97/7.46 | (4679) all_0_168_168 = all_0_213_213
% 28.97/7.46 |
% 28.97/7.46 | Instantiating formula (144) with e12, e12, all_0_214_214, all_0_203_203 and discharging atoms op1(e12, e12) = all_0_203_203, op1(e12, e12) = all_0_214_214, yields:
% 28.97/7.46 | (2425) all_0_203_203 = all_0_214_214
% 28.97/7.46 |
% 28.97/7.46 | Instantiating formula (144) with e10, e12, all_0_170_170, e11 and discharging atoms op1(e10, e12) = all_0_170_170, op1(e10, e12) = e11, yields:
% 28.97/7.46 | (3011) all_0_170_170 = e11
% 28.97/7.46 |
% 28.97/7.46 | Instantiating formula (144) with e10, e12, all_0_179_179, all_0_170_170 and discharging atoms op1(e10, e12) = all_0_170_170, op1(e10, e12) = all_0_179_179, yields:
% 28.97/7.46 | (4682) all_0_170_170 = all_0_179_179
% 28.97/7.46 |
% 28.97/7.46 | Combining equations (1064,4679) yields a new equation:
% 28.97/7.46 | (4683) all_0_203_203 = all_0_213_213
% 28.97/7.46 |
% 28.97/7.46 | Simplifying 4683 yields:
% 28.97/7.46 | (2424) all_0_203_203 = all_0_213_213
% 28.97/7.46 |
% 28.97/7.46 | Combining equations (3011,4682) yields a new equation:
% 28.97/7.46 | (4685) all_0_179_179 = e11
% 28.97/7.46 |
% 28.97/7.46 | Combining equations (4675,4676) yields a new equation:
% 28.97/7.46 | (2792) all_0_205_205 = e12
% 28.97/7.46 |
% 28.97/7.46 | Simplifying 2792 yields:
% 28.97/7.46 | (2082) all_0_205_205 = e12
% 28.97/7.46 |
% 28.97/7.46 | Combining equations (3007,2424) yields a new equation:
% 28.97/7.46 | (4688) all_0_213_213 = all_0_251_251
% 28.97/7.46 |
% 28.97/7.46 | Combining equations (2425,2424) yields a new equation:
% 28.97/7.46 | (1542) all_0_213_213 = all_0_214_214
% 28.97/7.46 |
% 28.97/7.46 | Combining equations (1542,4688) yields a new equation:
% 28.97/7.46 | (4690) all_0_214_214 = all_0_251_251
% 28.97/7.46 |
% 28.97/7.46 | Simplifying 4690 yields:
% 28.97/7.46 | (4691) all_0_214_214 = all_0_251_251
% 28.97/7.46 |
% 28.97/7.46 | From (2082) and (2403) follows:
% 28.97/7.46 | (2404) op1(e13, e12) = e12
% 28.97/7.46 |
% 28.97/7.46 | From (4685) and (4674) follows:
% 28.97/7.46 | (21) op1(e10, e12) = e11
% 28.97/7.46 |
% 28.97/7.46 +-Applying beta-rule and splitting (189), into two cases.
% 28.97/7.46 |-Branch one:
% 28.97/7.46 | (1191) all_0_247_247 = e13
% 28.97/7.46 |
% 28.97/7.46 | Combining equations (1051,1191) yields a new equation:
% 28.97/7.46 | (833) e13 = e12
% 28.97/7.46 |
% 28.97/7.46 | Equations (833) can reduce 305 to:
% 28.97/7.46 | (537) $false
% 28.97/7.46 |
% 28.97/7.46 |-The branch is then unsatisfiable
% 28.97/7.46 |-Branch two:
% 28.97/7.46 | (1405) ~ (all_0_247_247 = e13)
% 28.97/7.46 | (1406) all_0_251_251 = e13 | all_0_255_255 = e13
% 28.97/7.46 |
% 28.97/7.46 | Equations (1051) can reduce 1405 to:
% 28.97/7.46 | (803) ~ (e13 = e12)
% 28.97/7.46 |
% 28.97/7.46 | Simplifying 803 yields:
% 28.97/7.46 | (305) ~ (e13 = e12)
% 28.97/7.46 |
% 28.97/7.46 +-Applying beta-rule and splitting (372), into two cases.
% 28.97/7.46 |-Branch one:
% 28.97/7.46 | (1011) all_0_251_251 = e10
% 28.97/7.46 |
% 28.97/7.46 | Combining equations (1011,4688) yields a new equation:
% 28.97/7.46 | (903) all_0_213_213 = e10
% 28.97/7.46 |
% 28.97/7.46 | Equations (1011) can reduce 23 to:
% 28.97/7.46 | (3166) ~ (all_0_253_253 = e10)
% 28.97/7.46 |
% 28.97/7.46 | Simplifying 3166 yields:
% 28.97/7.46 | (870) ~ (all_0_253_253 = e10)
% 28.97/7.46 |
% 28.97/7.46 | Equations (1011) can reduce 481 to:
% 28.97/7.46 | (3294) ~ (all_0_255_255 = e10)
% 28.97/7.46 |
% 28.97/7.46 | Simplifying 3294 yields:
% 28.97/7.46 | (1498) ~ (all_0_255_255 = e10)
% 28.97/7.46 |
% 28.97/7.46 | Equations (1011) can reduce 1010 to:
% 28.97/7.46 | (874) ~ (e12 = e10)
% 28.97/7.46 |
% 28.97/7.46 | Simplifying 874 yields:
% 28.97/7.46 | (8) ~ (e12 = e10)
% 28.97/7.46 |
% 28.97/7.46 +-Applying beta-rule and splitting (237), into two cases.
% 28.97/7.46 |-Branch one:
% 28.97/7.46 | (839) all_0_255_255 = e13
% 28.97/7.46 |
% 28.97/7.46 | Combining equations (839,4542) yields a new equation:
% 28.97/7.46 | (3036) all_0_218_218 = e13
% 28.97/7.46 |
% 28.97/7.46 | From (839) and (437) follows:
% 28.97/7.46 | (3153) op1(e13, e12) = all_0_226_226
% 28.97/7.46 |
% 28.97/7.46 | From (839) and (299) follows:
% 28.97/7.46 | (845) op1(e13, e11) = all_0_227_227
% 28.97/7.46 |
% 28.97/7.46 +-Applying beta-rule and splitting (2526), into two cases.
% 28.97/7.46 |-Branch one:
% 28.97/7.46 | (1183) all_0_253_253 = e13
% 28.97/7.46 |
% 28.97/7.46 | Equations (1183) can reduce 51 to:
% 28.97/7.46 | (842) ~ (all_0_257_257 = e13)
% 28.97/7.46 |
% 28.97/7.46 | Simplifying 842 yields:
% 28.97/7.46 | (843) ~ (all_0_257_257 = e13)
% 28.97/7.46 |
% 28.97/7.46 | Equations (1183) can reduce 46 to:
% 28.97/7.46 | (305) ~ (e13 = e12)
% 28.97/7.46 |
% 28.97/7.46 | Equations (1183) can reduce 2525 to:
% 28.97/7.46 | (446) ~ (e13 = e11)
% 28.97/7.46 |
% 28.97/7.46 | Equations (1183) can reduce 870 to:
% 28.97/7.46 | (210) ~ (e13 = e10)
% 28.97/7.46 |
% 28.97/7.46 | From (1183) and (366) follows:
% 28.97/7.46 | (2727) op1(e13, e12) = all_0_221_221
% 28.97/7.46 |
% 28.97/7.46 +-Applying beta-rule and splitting (53), into two cases.
% 28.97/7.46 |-Branch one:
% 28.97/7.46 | (1178) all_0_255_255 = e10
% 28.97/7.46 |
% 28.97/7.46 | Combining equations (1178,839) yields a new equation:
% 28.97/7.46 | (862) e13 = e10
% 28.97/7.46 |
% 28.97/7.46 | Equations (862) can reduce 210 to:
% 28.97/7.46 | (537) $false
% 28.97/7.46 |
% 28.97/7.46 |-The branch is then unsatisfiable
% 28.97/7.46 |-Branch two:
% 28.97/7.46 | (1498) ~ (all_0_255_255 = e10)
% 28.97/7.46 | (1499) all_0_256_256 = e10 | all_0_257_257 = e10
% 28.97/7.46 |
% 28.97/7.46 +-Applying beta-rule and splitting (1499), into two cases.
% 28.97/7.46 |-Branch one:
% 28.97/7.46 | (1021) all_0_256_256 = e10
% 28.97/7.46 |
% 28.97/7.46 | Combining equations (1676,1021) yields a new equation:
% 28.97/7.46 | (1159) e12 = e10
% 28.97/7.46 |
% 28.97/7.46 | Simplifying 1159 yields:
% 28.97/7.46 | (952) e12 = e10
% 28.97/7.46 |
% 28.97/7.46 | Equations (952) can reduce 8 to:
% 28.97/7.46 | (537) $false
% 28.97/7.46 |
% 28.97/7.46 |-The branch is then unsatisfiable
% 28.97/7.46 |-Branch two:
% 28.97/7.46 | (1521) ~ (all_0_256_256 = e10)
% 28.97/7.46 | (871) all_0_257_257 = e10
% 28.97/7.46 |
% 28.97/7.46 | Equations (871) can reduce 843 to:
% 28.97/7.46 | (872) ~ (e13 = e10)
% 28.97/7.46 |
% 28.97/7.46 | Simplifying 872 yields:
% 28.97/7.46 | (210) ~ (e13 = e10)
% 28.97/7.46 |
% 28.97/7.46 | Equations (871) can reduce 384 to:
% 28.97/7.46 | (874) ~ (e12 = e10)
% 28.97/7.46 |
% 28.97/7.46 | Simplifying 874 yields:
% 28.97/7.46 | (8) ~ (e12 = e10)
% 28.97/7.46 |
% 28.97/7.46 | Equations (871) can reduce 747 to:
% 28.97/7.46 | (906) ~ (e11 = e10)
% 28.97/7.46 |
% 28.97/7.46 | Simplifying 906 yields:
% 28.97/7.46 | (293) ~ (e11 = e10)
% 28.97/7.46 |
% 28.97/7.46 | From (871) and (148) follows:
% 28.97/7.46 | (876) op1(e10, e11) = all_0_232_232
% 28.97/7.46 |
% 28.97/7.46 | Instantiating formula (144) with e13, e12, all_0_221_221, e12 and discharging atoms op1(e13, e12) = all_0_221_221, op1(e13, e12) = e12, yields:
% 28.97/7.46 | (1472) all_0_221_221 = e12
% 28.97/7.46 |
% 28.97/7.46 | Instantiating formula (144) with e13, e12, all_0_226_226, all_0_221_221 and discharging atoms op1(e13, e12) = all_0_221_221, op1(e13, e12) = all_0_226_226, yields:
% 28.97/7.46 | (3068) all_0_221_221 = all_0_226_226
% 28.97/7.46 |
% 28.97/7.46 | Instantiating formula (144) with e13, e11, all_0_227_227, e10 and discharging atoms op1(e13, e11) = all_0_227_227, op1(e13, e11) = e10, yields:
% 28.97/7.46 | (1036) all_0_227_227 = e10
% 28.97/7.46 |
% 28.97/7.46 | Instantiating formula (144) with e10, e11, all_0_232_232, e13 and discharging atoms op1(e10, e11) = all_0_232_232, op1(e10, e11) = e13, yields:
% 28.97/7.46 | (889) all_0_232_232 = e13
% 28.97/7.46 |
% 28.97/7.46 | Combining equations (1472,3068) yields a new equation:
% 28.97/7.46 | (3180) all_0_226_226 = e12
% 28.97/7.46 |
% 28.97/7.46 | Combining equations (3180,3068) yields a new equation:
% 28.97/7.46 | (1472) all_0_221_221 = e12
% 28.97/7.46 |
% 28.97/7.46 +-Applying beta-rule and splitting (257), into two cases.
% 28.97/7.46 |-Branch one:
% 28.97/7.46 | (940) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)) | (all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10))
% 28.97/7.46 |
% 28.97/7.46 +-Applying beta-rule and splitting (940), into two cases.
% 28.97/7.46 |-Branch one:
% 28.97/7.46 | (941) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12))
% 28.97/7.46 |
% 28.97/7.46 +-Applying beta-rule and splitting (941), into two cases.
% 28.97/7.46 |-Branch one:
% 28.97/7.46 | (942) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13))
% 28.97/7.47 |
% 28.97/7.47 +-Applying beta-rule and splitting (942), into two cases.
% 28.97/7.47 |-Branch one:
% 28.97/7.47 | (943) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10))
% 28.97/7.47 |
% 28.97/7.47 +-Applying beta-rule and splitting (943), into two cases.
% 28.97/7.47 |-Branch one:
% 28.97/7.47 | (944) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11))
% 28.97/7.47 |
% 28.97/7.47 +-Applying beta-rule and splitting (944), into two cases.
% 28.97/7.47 |-Branch one:
% 28.97/7.47 | (945) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13))
% 28.97/7.47 |
% 28.97/7.47 +-Applying beta-rule and splitting (945), into two cases.
% 28.97/7.47 |-Branch one:
% 28.97/7.47 | (946) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10))
% 28.97/7.47 |
% 28.97/7.47 +-Applying beta-rule and splitting (946), into two cases.
% 28.97/7.47 |-Branch one:
% 28.97/7.47 | (947) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11))
% 28.97/7.47 |
% 28.97/7.47 +-Applying beta-rule and splitting (947), into two cases.
% 28.97/7.47 |-Branch one:
% 28.97/7.47 | (948) all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)
% 28.97/7.47 |
% 28.97/7.47 | Applying alpha-rule on (948) yields:
% 28.97/7.47 | (949) all_0_204_204 = e12
% 28.97/7.47 | (950) ~ (all_0_203_203 = e13)
% 28.97/7.47 | (951) ~ (all_0_205_205 = e12)
% 28.97/7.47 |
% 28.97/7.47 | Equations (2082) can reduce 951 to:
% 28.97/7.47 | (537) $false
% 28.97/7.47 |
% 28.97/7.47 |-The branch is then unsatisfiable
% 28.97/7.47 |-Branch two:
% 28.97/7.47 | (954) all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)
% 28.97/7.47 |
% 28.97/7.47 | Applying alpha-rule on (954) yields:
% 28.97/7.47 | (955) all_0_207_207 = e11
% 28.97/7.47 | (956) ~ (all_0_206_206 = e13)
% 28.97/7.47 | (957) ~ (all_0_208_208 = e11)
% 28.97/7.47 |
% 28.97/7.47 | Combining equations (1068,955) yields a new equation:
% 28.97/7.47 | (868) e11 = e10
% 28.97/7.47 |
% 28.97/7.47 | Equations (868) can reduce 293 to:
% 28.97/7.47 | (537) $false
% 28.97/7.47 |
% 28.97/7.47 |-The branch is then unsatisfiable
% 28.97/7.47 |-Branch two:
% 28.97/7.47 | (961) all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)
% 28.97/7.47 |
% 28.97/7.47 | Applying alpha-rule on (961) yields:
% 28.97/7.47 | (962) all_0_210_210 = e10
% 28.97/7.47 | (963) ~ (all_0_209_209 = e13)
% 28.97/7.47 | (964) ~ (all_0_211_211 = e10)
% 28.97/7.47 |
% 28.97/7.47 | Combining equations (962,878) yields a new equation:
% 28.97/7.47 | (868) e11 = e10
% 28.97/7.47 |
% 28.97/7.47 | Equations (868) can reduce 293 to:
% 28.97/7.47 | (537) $false
% 28.97/7.47 |
% 28.97/7.47 |-The branch is then unsatisfiable
% 28.97/7.47 |-Branch two:
% 28.97/7.47 | (968) all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)
% 28.97/7.47 |
% 28.97/7.47 | Applying alpha-rule on (968) yields:
% 28.97/7.47 | (969) all_0_213_213 = e13
% 28.97/7.47 | (970) ~ (all_0_212_212 = e12)
% 28.97/7.47 | (971) ~ (all_0_214_214 = e13)
% 29.07/7.47 |
% 29.07/7.47 | Combining equations (903,969) yields a new equation:
% 29.07/7.47 | (862) e13 = e10
% 29.07/7.47 |
% 29.07/7.47 | Equations (862) can reduce 210 to:
% 29.07/7.47 | (537) $false
% 29.07/7.47 |
% 29.07/7.47 |-The branch is then unsatisfiable
% 29.07/7.47 |-Branch two:
% 29.07/7.47 | (974) all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)
% 29.07/7.47 |
% 29.07/7.47 | Applying alpha-rule on (974) yields:
% 29.07/7.47 | (975) all_0_218_218 = e11
% 29.07/7.47 | (976) ~ (all_0_217_217 = e12)
% 29.07/7.47 | (977) ~ (all_0_219_219 = e11)
% 29.07/7.47 |
% 29.07/7.47 | Combining equations (3036,975) yields a new equation:
% 29.07/7.47 | (958) e13 = e11
% 29.07/7.47 |
% 29.07/7.47 | Simplifying 958 yields:
% 29.07/7.47 | (959) e13 = e11
% 29.07/7.47 |
% 29.07/7.47 | Equations (959) can reduce 446 to:
% 29.07/7.47 | (537) $false
% 29.07/7.47 |
% 29.07/7.47 |-The branch is then unsatisfiable
% 29.07/7.47 |-Branch two:
% 29.07/7.47 | (979) all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)
% 29.07/7.47 |
% 29.07/7.47 | Applying alpha-rule on (979) yields:
% 29.07/7.47 | (980) all_0_221_221 = e10
% 29.07/7.47 | (981) ~ (all_0_220_220 = e12)
% 29.07/7.47 | (982) ~ (all_0_222_222 = e10)
% 29.07/7.47 |
% 29.07/7.47 | Combining equations (980,1472) yields a new equation:
% 29.07/7.47 | (952) e12 = e10
% 29.07/7.47 |
% 29.07/7.47 | Equations (952) can reduce 8 to:
% 29.07/7.47 | (537) $false
% 29.07/7.47 |
% 29.07/7.47 |-The branch is then unsatisfiable
% 29.07/7.47 |-Branch two:
% 29.07/7.47 | (986) all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)
% 29.07/7.47 |
% 29.07/7.47 | Applying alpha-rule on (986) yields:
% 29.07/7.47 | (987) all_0_224_224 = e13
% 29.07/7.47 | (988) ~ (all_0_223_223 = e11)
% 29.07/7.47 | (989) ~ (all_0_225_225 = e13)
% 29.07/7.47 |
% 29.07/7.47 | Combining equations (1057,987) yields a new equation:
% 29.07/7.47 | (833) e13 = e12
% 29.07/7.47 |
% 29.07/7.47 | Equations (833) can reduce 305 to:
% 29.07/7.47 | (537) $false
% 29.07/7.47 |
% 29.07/7.47 |-The branch is then unsatisfiable
% 29.07/7.47 |-Branch two:
% 29.07/7.47 | (992) all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)
% 29.07/7.47 |
% 29.07/7.47 | Applying alpha-rule on (992) yields:
% 29.07/7.47 | (993) all_0_227_227 = e12
% 29.07/7.47 | (994) ~ (all_0_226_226 = e11)
% 29.07/7.47 | (995) ~ (all_0_228_228 = e12)
% 29.07/7.47 |
% 29.07/7.47 | Combining equations (993,1036) yields a new equation:
% 29.07/7.47 | (1159) e12 = e10
% 29.07/7.47 |
% 29.07/7.47 | Simplifying 1159 yields:
% 29.07/7.47 | (952) e12 = e10
% 29.07/7.47 |
% 29.07/7.47 | Equations (952) can reduce 8 to:
% 29.07/7.47 | (537) $false
% 29.07/7.47 |
% 29.07/7.47 |-The branch is then unsatisfiable
% 29.07/7.47 |-Branch two:
% 29.07/7.47 | (997) all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10)
% 29.07/7.47 |
% 29.07/7.47 | Applying alpha-rule on (997) yields:
% 29.07/7.47 | (998) all_0_232_232 = e10
% 29.07/7.47 | (999) ~ (all_0_231_231 = e11)
% 29.07/7.47 | (1000) ~ (all_0_233_233 = e10)
% 29.07/7.47 |
% 29.07/7.47 | Combining equations (889,998) yields a new equation:
% 29.07/7.47 | (983) e13 = e10
% 29.07/7.47 |
% 29.07/7.47 | Simplifying 983 yields:
% 29.07/7.47 | (862) e13 = e10
% 29.07/7.47 |
% 29.07/7.47 | Equations (862) can reduce 210 to:
% 29.07/7.47 | (537) $false
% 29.07/7.47 |
% 29.07/7.47 |-The branch is then unsatisfiable
% 29.07/7.47 |-Branch two:
% 29.07/7.47 | (1004) all_0_249_249 = e11 & ~ (all_0_248_248 = e10)
% 29.07/7.47 |
% 29.07/7.47 | Applying alpha-rule on (1004) yields:
% 29.07/7.47 | (1005) all_0_249_249 = e11
% 29.07/7.47 | (905) ~ (all_0_248_248 = e10)
% 29.07/7.47 |
% 29.07/7.47 | Equations (910) can reduce 905 to:
% 29.07/7.47 | (537) $false
% 29.07/7.47 |
% 29.07/7.47 |-The branch is then unsatisfiable
% 29.07/7.47 |-Branch two:
% 29.07/7.47 | (1186) ~ (all_0_253_253 = e13)
% 29.07/7.47 | (866) all_0_253_253 = e10
% 29.07/7.47 |
% 29.07/7.47 | Equations (866) can reduce 870 to:
% 29.07/7.47 | (537) $false
% 29.07/7.47 |
% 29.07/7.47 |-The branch is then unsatisfiable
% 29.07/7.47 |-Branch two:
% 29.07/7.47 | (1189) ~ (all_0_255_255 = e13)
% 29.07/7.47 | (1190) all_0_255_255 = e12 | all_0_255_255 = e10
% 29.07/7.47 |
% 29.07/7.47 +-Applying beta-rule and splitting (53), into two cases.
% 29.07/7.47 |-Branch one:
% 29.07/7.47 | (1178) all_0_255_255 = e10
% 29.07/7.47 |
% 29.07/7.47 | Equations (1178) can reduce 1498 to:
% 29.07/7.47 | (537) $false
% 29.07/7.47 |
% 29.07/7.47 |-The branch is then unsatisfiable
% 29.07/7.47 |-Branch two:
% 29.07/7.47 | (1498) ~ (all_0_255_255 = e10)
% 29.07/7.47 | (1499) all_0_256_256 = e10 | all_0_257_257 = e10
% 29.07/7.47 |
% 29.07/7.47 +-Applying beta-rule and splitting (1499), into two cases.
% 29.07/7.47 |-Branch one:
% 29.07/7.47 | (1021) all_0_256_256 = e10
% 29.07/7.47 |
% 29.07/7.47 | Combining equations (1676,1021) yields a new equation:
% 29.07/7.47 | (1159) e12 = e10
% 29.07/7.47 |
% 29.07/7.47 | Simplifying 1159 yields:
% 29.07/7.47 | (952) e12 = e10
% 29.07/7.47 |
% 29.07/7.47 | Equations (952) can reduce 8 to:
% 29.07/7.47 | (537) $false
% 29.07/7.47 |
% 29.07/7.47 |-The branch is then unsatisfiable
% 29.07/7.47 |-Branch two:
% 29.07/7.47 | (1521) ~ (all_0_256_256 = e10)
% 29.07/7.47 | (871) all_0_257_257 = e10
% 29.07/7.47 |
% 29.07/7.47 | Equations (871) can reduce 386 to:
% 29.07/7.47 | (1498) ~ (all_0_255_255 = e10)
% 29.07/7.47 |
% 29.07/7.47 +-Applying beta-rule and splitting (1190), into two cases.
% 29.07/7.47 |-Branch one:
% 29.07/7.47 | (1403) all_0_255_255 = e12
% 29.07/7.47 |
% 29.07/7.47 | Equations (1403) can reduce 800 to:
% 29.07/7.47 | (537) $false
% 29.07/7.47 |
% 29.07/7.47 |-The branch is then unsatisfiable
% 29.07/7.47 |-Branch two:
% 29.07/7.47 | (800) ~ (all_0_255_255 = e12)
% 29.07/7.47 | (1178) all_0_255_255 = e10
% 29.07/7.47 |
% 29.07/7.47 | Equations (1178) can reduce 1498 to:
% 29.07/7.47 | (537) $false
% 29.07/7.47 |
% 29.07/7.47 |-The branch is then unsatisfiable
% 29.07/7.47 |-Branch two:
% 29.07/7.47 | (921) ~ (all_0_251_251 = e10)
% 29.07/7.47 | (1226) all_0_252_252 = e10 | all_0_253_253 = e10
% 29.07/7.47 |
% 29.07/7.47 +-Applying beta-rule and splitting (1226), into two cases.
% 29.07/7.47 |-Branch one:
% 29.07/7.47 | (918) all_0_252_252 = e10
% 29.07/7.47 |
% 29.07/7.47 | Combining equations (738,918) yields a new equation:
% 29.07/7.47 | (867) e11 = e10
% 29.07/7.47 |
% 29.07/7.47 | Simplifying 867 yields:
% 29.07/7.47 | (868) e11 = e10
% 29.07/7.47 |
% 29.07/7.47 | Equations (868) can reduce 293 to:
% 29.07/7.47 | (537) $false
% 29.07/7.47 |
% 29.07/7.47 |-The branch is then unsatisfiable
% 29.07/7.47 |-Branch two:
% 29.07/7.47 | (1020) ~ (all_0_252_252 = e10)
% 29.07/7.47 | (866) all_0_253_253 = e10
% 29.07/7.47 |
% 29.07/7.47 | Equations (866) can reduce 23 to:
% 29.07/7.47 | (921) ~ (all_0_251_251 = e10)
% 29.07/7.47 |
% 29.07/7.47 | Equations (866) can reduce 46 to:
% 29.07/7.47 | (874) ~ (e12 = e10)
% 29.07/7.47 |
% 29.07/7.47 | Simplifying 874 yields:
% 29.07/7.47 | (8) ~ (e12 = e10)
% 29.07/7.47 |
% 29.07/7.47 | From (866) and (366) follows:
% 29.07/7.47 | (3049) op1(e10, e12) = all_0_221_221
% 29.07/7.47 |
% 29.07/7.47 +-Applying beta-rule and splitting (454), into two cases.
% 29.07/7.47 |-Branch one:
% 29.07/7.47 | (902) all_0_247_247 = e10
% 29.07/7.47 |
% 29.07/7.47 | Combining equations (1051,902) yields a new equation:
% 29.07/7.47 | (1159) e12 = e10
% 29.07/7.47 |
% 29.07/7.47 | Simplifying 1159 yields:
% 29.07/7.47 | (952) e12 = e10
% 29.07/7.47 |
% 29.07/7.47 | Equations (952) can reduce 8 to:
% 29.07/7.47 | (537) $false
% 29.07/7.47 |
% 29.07/7.47 |-The branch is then unsatisfiable
% 29.07/7.47 |-Branch two:
% 29.07/7.47 | (1025) ~ (all_0_247_247 = e10)
% 29.07/7.47 | (1026) all_0_251_251 = e10 | all_0_255_255 = e10
% 29.07/7.47 |
% 29.07/7.47 +-Applying beta-rule and splitting (214), into two cases.
% 29.07/7.47 |-Branch one:
% 29.07/7.47 | (776) all_0_250_250 = e13
% 29.07/7.47 |
% 29.07/7.47 | Combining equations (1152,776) yields a new equation:
% 29.07/7.47 | (833) e13 = e12
% 29.07/7.47 |
% 29.07/7.47 | Equations (833) can reduce 305 to:
% 29.07/7.47 | (537) $false
% 29.07/7.47 |
% 29.07/7.47 |-The branch is then unsatisfiable
% 29.07/7.47 |-Branch two:
% 29.07/7.47 | (1417) ~ (all_0_250_250 = e13)
% 29.07/7.47 | (1418) all_0_251_251 = e13 | all_0_253_253 = e13
% 29.07/7.47 |
% 29.07/7.47 +-Applying beta-rule and splitting (1026), into two cases.
% 29.07/7.47 |-Branch one:
% 29.07/7.47 | (1011) all_0_251_251 = e10
% 29.07/7.47 |
% 29.07/7.47 | Equations (1011) can reduce 921 to:
% 29.07/7.47 | (537) $false
% 29.07/7.47 |
% 29.07/7.47 |-The branch is then unsatisfiable
% 29.07/7.47 |-Branch two:
% 29.07/7.47 | (921) ~ (all_0_251_251 = e10)
% 29.07/7.47 | (1178) all_0_255_255 = e10
% 29.07/7.47 |
% 29.07/7.47 | Combining equations (1178,4542) yields a new equation:
% 29.07/7.47 | (1067) all_0_218_218 = e10
% 29.07/7.47 |
% 29.07/7.47 | Equations (1178) can reduce 481 to:
% 29.07/7.47 | (921) ~ (all_0_251_251 = e10)
% 29.07/7.47 |
% 29.07/7.47 | Equations (1178) can reduce 134 to:
% 29.07/7.47 | (906) ~ (e11 = e10)
% 29.07/7.47 |
% 29.07/7.47 | Simplifying 906 yields:
% 29.07/7.47 | (293) ~ (e11 = e10)
% 29.07/7.47 |
% 29.07/7.47 | From (1178) and (299) follows:
% 29.07/7.47 | (1261) op1(e10, e11) = all_0_227_227
% 29.07/7.47 |
% 29.07/7.48 +-Applying beta-rule and splitting (1418), into two cases.
% 29.07/7.48 |-Branch one:
% 29.07/7.48 | (929) all_0_251_251 = e13
% 29.07/7.48 |
% 29.07/7.48 | Combining equations (929,4691) yields a new equation:
% 29.07/7.48 | (816) all_0_214_214 = e13
% 29.07/7.48 |
% 29.07/7.48 | Equations (929) can reduce 108 to:
% 29.07/7.48 | (446) ~ (e13 = e11)
% 29.07/7.48 |
% 29.07/7.48 | Equations (929) can reduce 921 to:
% 29.07/7.48 | (210) ~ (e13 = e10)
% 29.07/7.48 |
% 29.07/7.48 +-Applying beta-rule and splitting (251), into two cases.
% 29.07/7.48 |-Branch one:
% 29.07/7.48 | (795) all_0_254_254 = e13
% 29.07/7.48 |
% 29.07/7.48 | Combining equations (795,791) yields a new equation:
% 29.07/7.48 | (958) e13 = e11
% 29.07/7.48 |
% 29.07/7.48 | Simplifying 958 yields:
% 29.07/7.48 | (959) e13 = e11
% 29.07/7.48 |
% 29.07/7.48 | Equations (959) can reduce 446 to:
% 29.07/7.48 | (537) $false
% 29.07/7.48 |
% 29.07/7.48 |-The branch is then unsatisfiable
% 29.07/7.48 |-Branch two:
% 29.07/7.48 | (782) ~ (all_0_254_254 = e13)
% 29.07/7.48 | (836) all_0_255_255 = e13 | all_0_257_257 = e13
% 29.07/7.48 |
% 29.07/7.48 +-Applying beta-rule and splitting (836), into two cases.
% 29.07/7.48 |-Branch one:
% 29.07/7.48 | (839) all_0_255_255 = e13
% 29.07/7.48 |
% 29.07/7.48 | Combining equations (839,1178) yields a new equation:
% 29.07/7.48 | (983) e13 = e10
% 29.07/7.48 |
% 29.07/7.48 | Simplifying 983 yields:
% 29.07/7.48 | (862) e13 = e10
% 29.07/7.48 |
% 29.07/7.48 | Equations (862) can reduce 210 to:
% 29.07/7.48 | (537) $false
% 29.07/7.48 |
% 29.07/7.48 |-The branch is then unsatisfiable
% 29.07/7.48 |-Branch two:
% 29.07/7.48 | (1189) ~ (all_0_255_255 = e13)
% 29.07/7.48 | (1187) all_0_257_257 = e13
% 29.07/7.48 |
% 29.07/7.48 | Equations (1187) can reduce 384 to:
% 29.07/7.48 | (305) ~ (e13 = e12)
% 29.07/7.48 |
% 29.07/7.48 | From (1187) and (462) follows:
% 29.07/7.48 | (1213) op1(e13, e10) = all_0_231_231
% 29.07/7.48 |
% 29.07/7.48 | Instantiating formula (144) with e13, e10, all_0_231_231, e11 and discharging atoms op1(e13, e10) = all_0_231_231, op1(e13, e10) = e11, yields:
% 29.07/7.48 | (3066) all_0_231_231 = e11
% 29.07/7.48 |
% 29.07/7.48 | Instantiating formula (144) with e10, e12, all_0_221_221, e11 and discharging atoms op1(e10, e12) = all_0_221_221, op1(e10, e12) = e11, yields:
% 29.07/7.48 | (3067) all_0_221_221 = e11
% 29.07/7.48 |
% 29.07/7.48 | Instantiating formula (144) with e10, e11, all_0_227_227, e13 and discharging atoms op1(e10, e11) = all_0_227_227, op1(e10, e11) = e13, yields:
% 29.07/7.48 | (1329) all_0_227_227 = e13
% 29.07/7.48 |
% 29.07/7.48 +-Applying beta-rule and splitting (257), into two cases.
% 29.07/7.48 |-Branch one:
% 29.07/7.48 | (940) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)) | (all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10))
% 29.07/7.48 |
% 29.07/7.48 +-Applying beta-rule and splitting (940), into two cases.
% 29.07/7.48 |-Branch one:
% 29.07/7.48 | (941) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12))
% 29.07/7.48 |
% 29.07/7.48 +-Applying beta-rule and splitting (941), into two cases.
% 29.07/7.48 |-Branch one:
% 29.07/7.48 | (942) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13))
% 29.07/7.48 |
% 29.07/7.48 +-Applying beta-rule and splitting (942), into two cases.
% 29.07/7.48 |-Branch one:
% 29.07/7.48 | (943) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10))
% 29.07/7.48 |
% 29.07/7.48 +-Applying beta-rule and splitting (943), into two cases.
% 29.07/7.48 |-Branch one:
% 29.07/7.48 | (944) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11))
% 29.07/7.48 |
% 29.07/7.48 +-Applying beta-rule and splitting (944), into two cases.
% 29.07/7.48 |-Branch one:
% 29.07/7.48 | (945) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13))
% 29.07/7.48 |
% 29.07/7.48 +-Applying beta-rule and splitting (945), into two cases.
% 29.07/7.48 |-Branch one:
% 29.07/7.48 | (946) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10))
% 29.07/7.48 |
% 29.07/7.48 +-Applying beta-rule and splitting (946), into two cases.
% 29.07/7.48 |-Branch one:
% 29.07/7.48 | (947) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11))
% 29.07/7.48 |
% 29.07/7.48 +-Applying beta-rule and splitting (947), into two cases.
% 29.07/7.48 |-Branch one:
% 29.07/7.48 | (948) all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)
% 29.07/7.48 |
% 29.07/7.48 | Applying alpha-rule on (948) yields:
% 29.07/7.48 | (949) all_0_204_204 = e12
% 29.07/7.48 | (950) ~ (all_0_203_203 = e13)
% 29.07/7.48 | (951) ~ (all_0_205_205 = e12)
% 29.07/7.48 |
% 29.07/7.48 | Equations (2082) can reduce 951 to:
% 29.07/7.48 | (537) $false
% 29.07/7.48 |
% 29.07/7.48 |-The branch is then unsatisfiable
% 29.07/7.48 |-Branch two:
% 29.07/7.48 | (954) all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)
% 29.07/7.48 |
% 29.07/7.48 | Applying alpha-rule on (954) yields:
% 29.07/7.48 | (955) all_0_207_207 = e11
% 29.07/7.48 | (956) ~ (all_0_206_206 = e13)
% 29.07/7.48 | (957) ~ (all_0_208_208 = e11)
% 29.07/7.48 |
% 29.07/7.48 | Combining equations (1068,955) yields a new equation:
% 29.07/7.48 | (868) e11 = e10
% 29.07/7.48 |
% 29.07/7.48 | Equations (868) can reduce 293 to:
% 29.07/7.48 | (537) $false
% 29.07/7.48 |
% 29.07/7.48 |-The branch is then unsatisfiable
% 29.07/7.48 |-Branch two:
% 29.07/7.48 | (961) all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)
% 29.07/7.48 |
% 29.07/7.48 | Applying alpha-rule on (961) yields:
% 29.07/7.48 | (962) all_0_210_210 = e10
% 29.07/7.48 | (963) ~ (all_0_209_209 = e13)
% 29.07/7.48 | (964) ~ (all_0_211_211 = e10)
% 29.07/7.48 |
% 29.07/7.48 | Combining equations (962,878) yields a new equation:
% 29.07/7.48 | (868) e11 = e10
% 29.07/7.48 |
% 29.07/7.48 | Equations (868) can reduce 293 to:
% 29.07/7.48 | (537) $false
% 29.07/7.48 |
% 29.07/7.48 |-The branch is then unsatisfiable
% 29.07/7.48 |-Branch two:
% 29.07/7.48 | (968) all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)
% 29.07/7.48 |
% 29.07/7.48 | Applying alpha-rule on (968) yields:
% 29.07/7.48 | (969) all_0_213_213 = e13
% 29.07/7.48 | (970) ~ (all_0_212_212 = e12)
% 29.07/7.48 | (971) ~ (all_0_214_214 = e13)
% 29.07/7.48 |
% 29.07/7.48 | Equations (816) can reduce 971 to:
% 29.07/7.48 | (537) $false
% 29.07/7.48 |
% 29.07/7.48 |-The branch is then unsatisfiable
% 29.07/7.48 |-Branch two:
% 29.07/7.48 | (974) all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)
% 29.07/7.48 |
% 29.07/7.48 | Applying alpha-rule on (974) yields:
% 29.07/7.48 | (975) all_0_218_218 = e11
% 29.07/7.48 | (976) ~ (all_0_217_217 = e12)
% 29.07/7.48 | (977) ~ (all_0_219_219 = e11)
% 29.07/7.48 |
% 29.07/7.48 | Combining equations (1067,975) yields a new equation:
% 29.07/7.48 | (868) e11 = e10
% 29.07/7.48 |
% 29.07/7.48 | Equations (868) can reduce 293 to:
% 29.07/7.48 | (537) $false
% 29.07/7.48 |
% 29.07/7.48 |-The branch is then unsatisfiable
% 29.07/7.48 |-Branch two:
% 29.07/7.48 | (979) all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)
% 29.07/7.48 |
% 29.07/7.48 | Applying alpha-rule on (979) yields:
% 29.07/7.48 | (980) all_0_221_221 = e10
% 29.07/7.48 | (981) ~ (all_0_220_220 = e12)
% 29.07/7.48 | (982) ~ (all_0_222_222 = e10)
% 29.07/7.48 |
% 29.07/7.48 | Combining equations (980,3067) yields a new equation:
% 29.07/7.48 | (868) e11 = e10
% 29.07/7.48 |
% 29.07/7.48 | Equations (868) can reduce 293 to:
% 29.07/7.48 | (537) $false
% 29.07/7.48 |
% 29.07/7.48 |-The branch is then unsatisfiable
% 29.07/7.48 |-Branch two:
% 29.07/7.48 | (986) all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)
% 29.07/7.48 |
% 29.07/7.48 | Applying alpha-rule on (986) yields:
% 29.07/7.48 | (987) all_0_224_224 = e13
% 29.07/7.48 | (988) ~ (all_0_223_223 = e11)
% 29.07/7.48 | (989) ~ (all_0_225_225 = e13)
% 29.07/7.48 |
% 29.07/7.48 | Combining equations (1057,987) yields a new equation:
% 29.07/7.48 | (833) e13 = e12
% 29.07/7.48 |
% 29.07/7.48 | Equations (833) can reduce 305 to:
% 29.07/7.48 | (537) $false
% 29.07/7.48 |
% 29.07/7.48 |-The branch is then unsatisfiable
% 29.07/7.48 |-Branch two:
% 29.07/7.48 | (992) all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)
% 29.07/7.48 |
% 29.07/7.48 | Applying alpha-rule on (992) yields:
% 29.07/7.48 | (993) all_0_227_227 = e12
% 29.07/7.48 | (994) ~ (all_0_226_226 = e11)
% 29.07/7.48 | (995) ~ (all_0_228_228 = e12)
% 29.07/7.48 |
% 29.07/7.48 | Combining equations (993,1329) yields a new equation:
% 29.07/7.48 | (833) e13 = e12
% 29.07/7.48 |
% 29.07/7.48 | Equations (833) can reduce 305 to:
% 29.07/7.48 | (537) $false
% 29.07/7.48 |
% 29.07/7.48 |-The branch is then unsatisfiable
% 29.07/7.48 |-Branch two:
% 29.07/7.48 | (997) all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10)
% 29.07/7.48 |
% 29.07/7.48 | Applying alpha-rule on (997) yields:
% 29.07/7.48 | (998) all_0_232_232 = e10
% 29.07/7.48 | (999) ~ (all_0_231_231 = e11)
% 29.07/7.48 | (1000) ~ (all_0_233_233 = e10)
% 29.07/7.48 |
% 29.07/7.48 | Equations (3066) can reduce 999 to:
% 29.07/7.48 | (537) $false
% 29.07/7.48 |
% 29.07/7.48 |-The branch is then unsatisfiable
% 29.07/7.48 |-Branch two:
% 29.07/7.48 | (1004) all_0_249_249 = e11 & ~ (all_0_248_248 = e10)
% 29.07/7.48 |
% 29.07/7.48 | Applying alpha-rule on (1004) yields:
% 29.07/7.48 | (1005) all_0_249_249 = e11
% 29.07/7.48 | (905) ~ (all_0_248_248 = e10)
% 29.07/7.48 |
% 29.07/7.48 | Equations (910) can reduce 905 to:
% 29.07/7.48 | (537) $false
% 29.07/7.48 |
% 29.07/7.48 |-The branch is then unsatisfiable
% 29.07/7.48 |-Branch two:
% 29.07/7.48 | (778) ~ (all_0_251_251 = e13)
% 29.07/7.48 | (1183) all_0_253_253 = e13
% 29.07/7.48 |
% 29.07/7.48 | Combining equations (1183,866) yields a new equation:
% 29.07/7.48 | (983) e13 = e10
% 29.07/7.48 |
% 29.07/7.48 | Simplifying 983 yields:
% 29.07/7.48 | (862) e13 = e10
% 29.07/7.48 |
% 29.07/7.48 | Equations (862) can reduce 210 to:
% 29.07/7.48 | (537) $false
% 29.07/7.48 |
% 29.07/7.48 |-The branch is then unsatisfiable
% 29.07/7.48 |-Branch two:
% 29.07/7.48 | (1150) ~ (all_0_247_247 = e12)
% 29.07/7.48 | (927) all_0_248_248 = e12
% 29.07/7.48 |
% 29.07/7.48 | Combining equations (910,927) yields a new equation:
% 29.07/7.48 | (952) e12 = e10
% 29.07/7.48 |
% 29.07/7.48 | Equations (952) can reduce 8 to:
% 29.07/7.48 | (537) $false
% 29.07/7.48 |
% 29.07/7.48 |-The branch is then unsatisfiable
% 29.07/7.48 |-Branch two:
% 29.07/7.48 | (1469) ~ (all_0_246_246 = e13)
% 29.07/7.48 | (1787) all_0_250_250 = e13 | all_0_254_254 = e13
% 29.07/7.48 |
% 29.07/7.48 +-Applying beta-rule and splitting (1787), into two cases.
% 29.07/7.48 |-Branch one:
% 29.07/7.48 | (776) all_0_250_250 = e13
% 29.07/7.48 |
% 29.07/7.48 | Equations (776) can reduce 224 to:
% 29.07/7.48 | (777) ~ (all_0_251_251 = e13)
% 29.07/7.48 |
% 29.07/7.48 | Simplifying 777 yields:
% 29.07/7.48 | (778) ~ (all_0_251_251 = e13)
% 29.07/7.48 |
% 29.07/7.48 | Equations (776) can reduce 111 to:
% 29.07/7.48 | (3037) ~ (all_0_253_253 = e13)
% 29.07/7.48 |
% 29.07/7.48 | Simplifying 3037 yields:
% 29.07/7.48 | (1186) ~ (all_0_253_253 = e13)
% 29.07/7.48 |
% 29.07/7.48 | Equations (776) can reduce 695 to:
% 29.07/7.48 | (446) ~ (e13 = e11)
% 29.07/7.48 |
% 29.07/7.48 | From (776) and (120) follows:
% 29.07/7.48 | (784) op1(e13, e13) = all_0_212_212
% 29.07/7.48 |
% 29.07/7.48 | From (776) and (470) follows:
% 29.07/7.48 | (786) op1(e13, e13) = all_0_177_177
% 29.07/7.48 |
% 29.07/7.48 | From (776) and (173) follows:
% 29.07/7.48 | (787) op1(e12, e13) = all_0_214_214
% 29.07/7.48 |
% 29.07/7.48 | From (776) and (284) follows:
% 29.07/7.48 | (788) op1(e12, e13) = e13
% 29.07/7.48 |
% 29.07/7.48 +-Applying beta-rule and splitting (124), into two cases.
% 29.07/7.48 |-Branch one:
% 29.07/7.48 | (850) all_0_249_249 = e13
% 29.07/7.49 |
% 29.07/7.49 | Combining equations (1005,850) yields a new equation:
% 29.07/7.49 | (959) e13 = e11
% 29.07/7.49 |
% 29.07/7.49 | Equations (959) can reduce 446 to:
% 29.07/7.49 | (537) $false
% 29.07/7.49 |
% 29.07/7.49 |-The branch is then unsatisfiable
% 29.07/7.49 |-Branch two:
% 29.07/7.49 | (1181) ~ (all_0_249_249 = e13)
% 29.07/7.49 | (1182) all_0_253_253 = e13 | all_0_257_257 = e13
% 29.07/7.49 |
% 29.07/7.49 +-Applying beta-rule and splitting (2526), into two cases.
% 29.07/7.49 |-Branch one:
% 29.07/7.49 | (1183) all_0_253_253 = e13
% 29.07/7.49 |
% 29.07/7.49 | Equations (1183) can reduce 1186 to:
% 29.07/7.49 | (537) $false
% 29.07/7.49 |
% 29.07/7.49 |-The branch is then unsatisfiable
% 29.07/7.49 |-Branch two:
% 29.07/7.49 | (1186) ~ (all_0_253_253 = e13)
% 29.07/7.49 | (866) all_0_253_253 = e10
% 29.07/7.49 |
% 29.07/7.49 | Equations (866) can reduce 1186 to:
% 29.07/7.49 | (872) ~ (e13 = e10)
% 29.07/7.49 |
% 29.07/7.49 | Simplifying 872 yields:
% 29.07/7.49 | (210) ~ (e13 = e10)
% 29.07/7.49 |
% 29.07/7.49 | From (866) and (366) follows:
% 29.07/7.49 | (3049) op1(e10, e12) = all_0_221_221
% 29.07/7.49 |
% 29.07/7.49 | From (866) and (317) follows:
% 29.07/7.49 | (4982) op1(e13, e10) = all_0_186_186
% 29.07/7.49 |
% 29.07/7.49 +-Applying beta-rule and splitting (1182), into two cases.
% 29.07/7.49 |-Branch one:
% 29.07/7.49 | (1183) all_0_253_253 = e13
% 29.07/7.49 |
% 29.07/7.49 | Combining equations (866,1183) yields a new equation:
% 29.07/7.49 | (862) e13 = e10
% 29.07/7.49 |
% 29.07/7.49 | Equations (862) can reduce 210 to:
% 29.07/7.49 | (537) $false
% 29.07/7.49 |
% 29.07/7.49 |-The branch is then unsatisfiable
% 29.07/7.49 |-Branch two:
% 29.07/7.49 | (1186) ~ (all_0_253_253 = e13)
% 29.07/7.49 | (1187) all_0_257_257 = e13
% 29.07/7.49 |
% 29.07/7.49 | Equations (1187) can reduce 386 to:
% 29.07/7.49 | (1189) ~ (all_0_255_255 = e13)
% 29.07/7.49 |
% 29.07/7.49 | From (1187) and (462) follows:
% 29.07/7.49 | (1213) op1(e13, e10) = all_0_231_231
% 29.07/7.49 |
% 29.07/7.49 | From (1187) and (331) follows:
% 29.07/7.49 | (1214) op1(e13, e13) = all_0_198_198
% 29.07/7.49 |
% 29.07/7.49 | From (1187) and (121) follows:
% 29.07/7.49 | (1215) op1(e12, e13) = all_0_199_199
% 29.07/7.49 |
% 29.07/7.49 +-Applying beta-rule and splitting (237), into two cases.
% 29.07/7.49 |-Branch one:
% 29.07/7.49 | (839) all_0_255_255 = e13
% 29.07/7.49 |
% 29.07/7.49 | Equations (839) can reduce 1189 to:
% 29.07/7.49 | (537) $false
% 29.07/7.49 |
% 29.07/7.49 |-The branch is then unsatisfiable
% 29.07/7.49 |-Branch two:
% 29.07/7.49 | (1189) ~ (all_0_255_255 = e13)
% 29.07/7.49 | (1190) all_0_255_255 = e12 | all_0_255_255 = e10
% 29.07/7.49 |
% 29.07/7.49 +-Applying beta-rule and splitting (454), into two cases.
% 29.07/7.49 |-Branch one:
% 29.07/7.49 | (902) all_0_247_247 = e10
% 29.07/7.49 |
% 29.07/7.49 | Equations (902) can reduce 1025 to:
% 29.07/7.49 | (537) $false
% 29.07/7.49 |
% 29.07/7.49 |-The branch is then unsatisfiable
% 29.07/7.49 |-Branch two:
% 29.07/7.49 | (1025) ~ (all_0_247_247 = e10)
% 29.07/7.49 | (1026) all_0_251_251 = e10 | all_0_255_255 = e10
% 29.07/7.49 |
% 29.07/7.49 +-Applying beta-rule and splitting (53), into two cases.
% 29.07/7.49 |-Branch one:
% 29.07/7.49 | (1178) all_0_255_255 = e10
% 29.07/7.49 |
% 29.07/7.49 | Combining equations (1178,4542) yields a new equation:
% 29.07/7.49 | (1067) all_0_218_218 = e10
% 29.07/7.49 |
% 29.07/7.49 | Equations (1178) can reduce 1189 to:
% 29.07/7.49 | (872) ~ (e13 = e10)
% 29.07/7.49 |
% 29.07/7.49 | Simplifying 872 yields:
% 29.07/7.49 | (210) ~ (e13 = e10)
% 29.07/7.49 |
% 29.07/7.49 | Equations (1178) can reduce 134 to:
% 29.07/7.49 | (906) ~ (e11 = e10)
% 29.07/7.49 |
% 29.07/7.49 | Simplifying 906 yields:
% 29.07/7.49 | (293) ~ (e11 = e10)
% 29.07/7.49 |
% 29.07/7.49 | From (1178) and (437) follows:
% 29.07/7.49 | (3029) op1(e10, e12) = all_0_226_226
% 29.07/7.49 |
% 29.07/7.49 | From (1178) and (299) follows:
% 29.07/7.49 | (1261) op1(e10, e11) = all_0_227_227
% 29.07/7.49 |
% 29.07/7.49 | From (1178) and (87) follows:
% 29.07/7.49 | (1262) op1(e13, e10) = all_0_192_192
% 29.07/7.49 |
% 29.07/7.49 +-Applying beta-rule and splitting (189), into two cases.
% 29.07/7.49 |-Branch one:
% 29.07/7.49 | (1191) all_0_247_247 = e13
% 29.07/7.49 |
% 29.07/7.49 | Equations (1191) can reduce 248 to:
% 29.07/7.49 | (1469) ~ (all_0_246_246 = e13)
% 29.07/7.49 |
% 29.07/7.49 | Equations (1191) can reduce 296 to:
% 29.07/7.49 | (777) ~ (all_0_251_251 = e13)
% 29.07/7.49 |
% 29.07/7.49 | Simplifying 777 yields:
% 29.07/7.49 | (778) ~ (all_0_251_251 = e13)
% 29.07/7.49 |
% 29.07/7.49 | From (1191) and (289) follows:
% 29.07/7.49 | (1198) op1(e13, e13) = all_0_204_204
% 29.07/7.49 |
% 29.07/7.49 | From (1191) and (213) follows:
% 29.07/7.49 | (2081) op1(e13, e13) = all_0_205_205
% 29.07/7.49 |
% 29.07/7.49 | From (1191) and (117) follows:
% 29.07/7.49 | (1199) op1(e12, e13) = all_0_168_168
% 29.07/7.49 |
% 29.07/7.49 +-Applying beta-rule and splitting (29), into two cases.
% 29.07/7.49 |-Branch one:
% 29.07/7.49 | (770) all_0_246_246 = e12
% 29.07/7.49 |
% 29.07/7.49 | Equations (770) can reduce 1469 to:
% 29.07/7.49 | (803) ~ (e13 = e12)
% 29.07/7.49 |
% 29.07/7.49 | Simplifying 803 yields:
% 29.07/7.49 | (305) ~ (e13 = e12)
% 29.07/7.49 |
% 29.07/7.49 | Equations (770) can reduce 116 to:
% 29.07/7.49 | (8) ~ (e12 = e10)
% 29.07/7.49 |
% 29.07/7.49 | From (770) and (367) follows:
% 29.07/7.49 | (1832) op1(e13, e13) = e12
% 29.07/7.49 |
% 29.07/7.49 | From (770) and (345) follows:
% 29.07/7.49 | (4280) op1(e10, e12) = all_0_167_167
% 29.07/7.49 |
% 29.07/7.49 +-Applying beta-rule and splitting (58), into two cases.
% 29.07/7.49 |-Branch one:
% 29.07/7.49 | (1051) all_0_247_247 = e12
% 29.07/7.49 |
% 29.07/7.49 | Combining equations (1191,1051) yields a new equation:
% 29.07/7.49 | (832) e13 = e12
% 29.07/7.49 |
% 29.07/7.49 | Simplifying 832 yields:
% 29.07/7.49 | (833) e13 = e12
% 29.07/7.49 |
% 29.07/7.49 | Equations (833) can reduce 305 to:
% 29.07/7.49 | (537) $false
% 29.07/7.49 |
% 29.07/7.49 |-The branch is then unsatisfiable
% 29.07/7.49 |-Branch two:
% 29.07/7.49 | (1150) ~ (all_0_247_247 = e12)
% 29.07/7.49 | (1151) all_0_251_251 = e12 | all_0_255_255 = e12
% 29.07/7.49 |
% 29.07/7.49 +-Applying beta-rule and splitting (180), into two cases.
% 29.07/7.49 |-Branch one:
% 29.07/7.49 | (929) all_0_251_251 = e13
% 29.07/7.49 |
% 29.07/7.49 | Equations (929) can reduce 778 to:
% 29.07/7.49 | (537) $false
% 29.07/7.49 |
% 29.07/7.49 |-The branch is then unsatisfiable
% 29.07/7.49 |-Branch two:
% 29.07/7.49 | (778) ~ (all_0_251_251 = e13)
% 29.07/7.49 | (932) all_0_251_251 = e12 | all_0_251_251 = e10
% 29.07/7.49 |
% 29.07/7.49 +-Applying beta-rule and splitting (1151), into two cases.
% 29.07/7.49 |-Branch one:
% 29.07/7.49 | (933) all_0_251_251 = e12
% 29.07/7.49 |
% 29.07/7.49 | Equations (933) can reduce 778 to:
% 29.07/7.49 | (803) ~ (e13 = e12)
% 29.07/7.49 |
% 29.07/7.49 | Simplifying 803 yields:
% 29.07/7.49 | (305) ~ (e13 = e12)
% 29.07/7.49 |
% 29.07/7.49 | From (933) and (275) follows:
% 29.07/7.49 | (5035) op1(e10, e12) = all_0_182_182
% 29.07/7.49 |
% 29.07/7.49 | Instantiating formula (144) with e13, e13, all_0_198_198, all_0_177_177 and discharging atoms op1(e13, e13) = all_0_177_177, op1(e13, e13) = all_0_198_198, yields:
% 29.07/7.49 | (5036) all_0_177_177 = all_0_198_198
% 29.07/7.49 |
% 29.07/7.49 | Instantiating formula (144) with e13, e13, all_0_204_204, all_0_177_177 and discharging atoms op1(e13, e13) = all_0_177_177, op1(e13, e13) = all_0_204_204, yields:
% 29.07/7.49 | (5037) all_0_177_177 = all_0_204_204
% 29.07/7.49 |
% 29.07/7.49 | Instantiating formula (144) with e13, e13, all_0_205_205, all_0_177_177 and discharging atoms op1(e13, e13) = all_0_177_177, op1(e13, e13) = all_0_205_205, yields:
% 29.07/7.49 | (4675) all_0_177_177 = all_0_205_205
% 29.07/7.49 |
% 29.07/7.49 | Instantiating formula (144) with e13, e13, all_0_212_212, all_0_204_204 and discharging atoms op1(e13, e13) = all_0_204_204, op1(e13, e13) = all_0_212_212, yields:
% 29.07/7.49 | (5039) all_0_204_204 = all_0_212_212
% 29.07/7.49 |
% 29.07/7.49 | Instantiating formula (144) with e13, e13, e12, all_0_198_198 and discharging atoms op1(e13, e13) = all_0_198_198, op1(e13, e13) = e12, yields:
% 29.07/7.49 | (5040) all_0_198_198 = e12
% 29.07/7.49 |
% 29.07/7.49 | Instantiating formula (144) with e13, e10, all_0_186_186, e11 and discharging atoms op1(e13, e10) = all_0_186_186, op1(e13, e10) = e11, yields:
% 29.07/7.49 | (5041) all_0_186_186 = e11
% 29.07/7.49 |
% 29.07/7.49 | Instantiating formula (144) with e13, e10, all_0_192_192, all_0_186_186 and discharging atoms op1(e13, e10) = all_0_186_186, op1(e13, e10) = all_0_192_192, yields:
% 29.07/7.49 | (5042) all_0_186_186 = all_0_192_192
% 29.07/7.49 |
% 29.07/7.49 | Instantiating formula (144) with e13, e10, all_0_231_231, all_0_192_192 and discharging atoms op1(e13, e10) = all_0_192_192, op1(e13, e10) = all_0_231_231, yields:
% 29.07/7.49 | (1320) all_0_192_192 = all_0_231_231
% 29.07/7.49 |
% 29.07/7.49 | Instantiating formula (144) with e12, e13, all_0_199_199, all_0_168_168 and discharging atoms op1(e12, e13) = all_0_168_168, op1(e12, e13) = all_0_199_199, yields:
% 29.07/7.49 | (1308) all_0_168_168 = all_0_199_199
% 29.07/7.49 |
% 29.07/7.49 | Instantiating formula (144) with e12, e13, all_0_214_214, all_0_199_199 and discharging atoms op1(e12, e13) = all_0_199_199, op1(e12, e13) = all_0_214_214, yields:
% 29.07/7.49 | (5045) all_0_199_199 = all_0_214_214
% 29.07/7.49 |
% 29.07/7.49 | Instantiating formula (144) with e12, e13, e13, all_0_168_168 and discharging atoms op1(e12, e13) = all_0_168_168, op1(e12, e13) = e13, yields:
% 29.07/7.49 | (5046) all_0_168_168 = e13
% 29.07/7.49 |
% 29.07/7.49 | Instantiating formula (144) with e10, e12, all_0_182_182, all_0_167_167 and discharging atoms op1(e10, e12) = all_0_167_167, op1(e10, e12) = all_0_182_182, yields:
% 29.07/7.49 | (5047) all_0_167_167 = all_0_182_182
% 29.07/7.49 |
% 29.07/7.49 | Instantiating formula (144) with e10, e12, all_0_221_221, e11 and discharging atoms op1(e10, e12) = all_0_221_221, op1(e10, e12) = e11, yields:
% 29.07/7.49 | (3067) all_0_221_221 = e11
% 29.07/7.49 |
% 29.07/7.49 | Instantiating formula (144) with e10, e12, all_0_221_221, all_0_182_182 and discharging atoms op1(e10, e12) = all_0_182_182, op1(e10, e12) = all_0_221_221, yields:
% 29.07/7.49 | (5049) all_0_182_182 = all_0_221_221
% 29.07/7.49 |
% 29.07/7.49 | Instantiating formula (144) with e10, e12, all_0_226_226, all_0_167_167 and discharging atoms op1(e10, e12) = all_0_167_167, op1(e10, e12) = all_0_226_226, yields:
% 29.07/7.49 | (5050) all_0_167_167 = all_0_226_226
% 29.07/7.49 |
% 29.07/7.49 | Instantiating formula (144) with e10, e11, all_0_227_227, e13 and discharging atoms op1(e10, e11) = all_0_227_227, op1(e10, e11) = e13, yields:
% 29.07/7.49 | (1329) all_0_227_227 = e13
% 29.07/7.49 |
% 29.07/7.49 | Combining equations (5047,5050) yields a new equation:
% 29.07/7.49 | (5052) all_0_182_182 = all_0_226_226
% 29.07/7.49 |
% 29.07/7.49 | Simplifying 5052 yields:
% 29.07/7.49 | (5053) all_0_182_182 = all_0_226_226
% 29.07/7.49 |
% 29.07/7.49 | Combining equations (1308,5046) yields a new equation:
% 29.07/7.49 | (5054) all_0_199_199 = e13
% 29.07/7.50 |
% 29.07/7.50 | Simplifying 5054 yields:
% 29.07/7.50 | (1307) all_0_199_199 = e13
% 29.07/7.50 |
% 29.07/7.50 | Combining equations (5037,4675) yields a new equation:
% 29.07/7.50 | (5056) all_0_204_204 = all_0_205_205
% 29.07/7.50 |
% 29.07/7.50 | Simplifying 5056 yields:
% 29.07/7.50 | (2782) all_0_204_204 = all_0_205_205
% 29.07/7.50 |
% 29.07/7.50 | Combining equations (5036,4675) yields a new equation:
% 29.07/7.50 | (5058) all_0_198_198 = all_0_205_205
% 29.07/7.50 |
% 29.07/7.50 | Simplifying 5058 yields:
% 29.07/7.50 | (5059) all_0_198_198 = all_0_205_205
% 29.07/7.50 |
% 29.07/7.50 | Combining equations (5049,5053) yields a new equation:
% 29.07/7.50 | (5060) all_0_221_221 = all_0_226_226
% 29.07/7.50 |
% 29.07/7.50 | Simplifying 5060 yields:
% 29.07/7.50 | (3068) all_0_221_221 = all_0_226_226
% 29.07/7.50 |
% 29.07/7.50 | Combining equations (5042,5041) yields a new equation:
% 29.07/7.50 | (5062) all_0_192_192 = e11
% 29.07/7.50 |
% 29.07/7.50 | Simplifying 5062 yields:
% 29.07/7.50 | (5063) all_0_192_192 = e11
% 29.07/7.50 |
% 29.07/7.50 | Combining equations (1320,5063) yields a new equation:
% 29.07/7.50 | (5064) all_0_231_231 = e11
% 29.07/7.50 |
% 29.07/7.50 | Simplifying 5064 yields:
% 29.07/7.50 | (3066) all_0_231_231 = e11
% 29.07/7.50 |
% 29.07/7.50 | Combining equations (5059,5040) yields a new equation:
% 29.07/7.50 | (2792) all_0_205_205 = e12
% 29.07/7.50 |
% 29.07/7.50 | Simplifying 2792 yields:
% 29.07/7.50 | (2082) all_0_205_205 = e12
% 29.07/7.50 |
% 29.07/7.50 | Combining equations (1307,5045) yields a new equation:
% 29.07/7.50 | (816) all_0_214_214 = e13
% 29.07/7.50 |
% 29.07/7.50 | Combining equations (2782,5039) yields a new equation:
% 29.07/7.50 | (5069) all_0_205_205 = all_0_212_212
% 29.07/7.50 |
% 29.07/7.50 | Simplifying 5069 yields:
% 29.07/7.50 | (5070) all_0_205_205 = all_0_212_212
% 29.07/7.50 |
% 29.07/7.50 | Combining equations (2082,5070) yields a new equation:
% 29.07/7.50 | (1539) all_0_212_212 = e12
% 29.07/7.50 |
% 29.07/7.50 | Combining equations (3067,3068) yields a new equation:
% 29.07/7.50 | (3070) all_0_226_226 = e11
% 29.07/7.50 |
% 29.07/7.50 | Combining equations (3070,3068) yields a new equation:
% 29.07/7.50 | (3067) all_0_221_221 = e11
% 29.07/7.50 |
% 29.07/7.50 | Combining equations (1539,5070) yields a new equation:
% 29.07/7.50 | (2082) all_0_205_205 = e12
% 29.07/7.50 |
% 29.07/7.50 +-Applying beta-rule and splitting (257), into two cases.
% 29.07/7.50 |-Branch one:
% 29.07/7.50 | (940) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)) | (all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10))
% 29.07/7.50 |
% 29.07/7.50 +-Applying beta-rule and splitting (940), into two cases.
% 29.07/7.50 |-Branch one:
% 29.07/7.50 | (941) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12))
% 29.07/7.50 |
% 29.07/7.50 +-Applying beta-rule and splitting (941), into two cases.
% 29.07/7.50 |-Branch one:
% 29.07/7.50 | (942) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13))
% 29.07/7.50 |
% 29.07/7.50 +-Applying beta-rule and splitting (942), into two cases.
% 29.07/7.50 |-Branch one:
% 29.07/7.50 | (943) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10))
% 29.07/7.50 |
% 29.07/7.50 +-Applying beta-rule and splitting (943), into two cases.
% 29.07/7.50 |-Branch one:
% 29.07/7.50 | (944) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11))
% 29.07/7.50 |
% 29.07/7.50 +-Applying beta-rule and splitting (944), into two cases.
% 29.07/7.50 |-Branch one:
% 29.07/7.50 | (945) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13))
% 29.07/7.50 |
% 29.07/7.50 +-Applying beta-rule and splitting (945), into two cases.
% 29.07/7.50 |-Branch one:
% 29.07/7.50 | (946) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10))
% 29.07/7.50 |
% 29.07/7.50 +-Applying beta-rule and splitting (946), into two cases.
% 29.07/7.50 |-Branch one:
% 29.07/7.50 | (947) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11))
% 29.07/7.50 |
% 29.07/7.50 +-Applying beta-rule and splitting (947), into two cases.
% 29.07/7.50 |-Branch one:
% 29.07/7.50 | (948) all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)
% 29.07/7.50 |
% 29.07/7.50 | Applying alpha-rule on (948) yields:
% 29.07/7.50 | (949) all_0_204_204 = e12
% 29.07/7.50 | (950) ~ (all_0_203_203 = e13)
% 29.07/7.50 | (951) ~ (all_0_205_205 = e12)
% 29.07/7.50 |
% 29.07/7.50 | Equations (2082) can reduce 951 to:
% 29.07/7.50 | (537) $false
% 29.07/7.50 |
% 29.07/7.50 |-The branch is then unsatisfiable
% 29.07/7.50 |-Branch two:
% 29.07/7.50 | (954) all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)
% 29.07/7.50 |
% 29.07/7.50 | Applying alpha-rule on (954) yields:
% 29.07/7.50 | (955) all_0_207_207 = e11
% 29.07/7.50 | (956) ~ (all_0_206_206 = e13)
% 29.07/7.50 | (957) ~ (all_0_208_208 = e11)
% 29.07/7.50 |
% 29.07/7.50 | Combining equations (1068,955) yields a new equation:
% 29.07/7.50 | (868) e11 = e10
% 29.07/7.50 |
% 29.07/7.50 | Equations (868) can reduce 293 to:
% 29.07/7.50 | (537) $false
% 29.07/7.50 |
% 29.07/7.50 |-The branch is then unsatisfiable
% 29.07/7.50 |-Branch two:
% 29.07/7.50 | (961) all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)
% 29.07/7.50 |
% 29.07/7.50 | Applying alpha-rule on (961) yields:
% 29.07/7.50 | (962) all_0_210_210 = e10
% 29.07/7.50 | (963) ~ (all_0_209_209 = e13)
% 29.07/7.50 | (964) ~ (all_0_211_211 = e10)
% 29.07/7.50 |
% 29.07/7.50 | Combining equations (878,962) yields a new equation:
% 29.07/7.50 | (867) e11 = e10
% 29.07/7.50 |
% 29.07/7.50 | Simplifying 867 yields:
% 29.07/7.50 | (868) e11 = e10
% 29.07/7.50 |
% 29.07/7.50 | Equations (868) can reduce 293 to:
% 29.07/7.50 | (537) $false
% 29.07/7.50 |
% 29.07/7.50 |-The branch is then unsatisfiable
% 29.07/7.50 |-Branch two:
% 29.07/7.50 | (968) all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)
% 29.07/7.50 |
% 29.07/7.50 | Applying alpha-rule on (968) yields:
% 29.07/7.50 | (969) all_0_213_213 = e13
% 29.07/7.50 | (970) ~ (all_0_212_212 = e12)
% 29.07/7.50 | (971) ~ (all_0_214_214 = e13)
% 29.07/7.50 |
% 29.07/7.50 | Equations (816) can reduce 971 to:
% 29.07/7.50 | (537) $false
% 29.07/7.50 |
% 29.07/7.50 |-The branch is then unsatisfiable
% 29.07/7.50 |-Branch two:
% 29.07/7.50 | (974) all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)
% 29.07/7.50 |
% 29.07/7.50 | Applying alpha-rule on (974) yields:
% 29.07/7.50 | (975) all_0_218_218 = e11
% 29.07/7.50 | (976) ~ (all_0_217_217 = e12)
% 29.07/7.50 | (977) ~ (all_0_219_219 = e11)
% 29.07/7.50 |
% 29.07/7.50 | Combining equations (1067,975) yields a new equation:
% 29.07/7.50 | (868) e11 = e10
% 29.07/7.50 |
% 29.07/7.50 | Equations (868) can reduce 293 to:
% 29.07/7.50 | (537) $false
% 29.07/7.50 |
% 29.07/7.50 |-The branch is then unsatisfiable
% 29.07/7.50 |-Branch two:
% 29.07/7.50 | (979) all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)
% 29.07/7.50 |
% 29.07/7.50 | Applying alpha-rule on (979) yields:
% 29.07/7.50 | (980) all_0_221_221 = e10
% 29.07/7.50 | (981) ~ (all_0_220_220 = e12)
% 29.07/7.50 | (982) ~ (all_0_222_222 = e10)
% 29.07/7.51 |
% 29.07/7.51 | Combining equations (3067,980) yields a new equation:
% 29.07/7.51 | (867) e11 = e10
% 29.07/7.51 |
% 29.07/7.51 | Simplifying 867 yields:
% 29.07/7.51 | (868) e11 = e10
% 29.07/7.51 |
% 29.07/7.51 | Equations (868) can reduce 293 to:
% 29.07/7.51 | (537) $false
% 29.07/7.51 |
% 29.07/7.51 |-The branch is then unsatisfiable
% 29.07/7.51 |-Branch two:
% 29.07/7.51 | (986) all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)
% 29.07/7.51 |
% 29.07/7.51 | Applying alpha-rule on (986) yields:
% 29.07/7.51 | (987) all_0_224_224 = e13
% 29.07/7.51 | (988) ~ (all_0_223_223 = e11)
% 29.07/7.51 | (989) ~ (all_0_225_225 = e13)
% 29.07/7.51 |
% 29.07/7.51 | Combining equations (1057,987) yields a new equation:
% 29.07/7.51 | (833) e13 = e12
% 29.07/7.51 |
% 29.07/7.51 | Equations (833) can reduce 305 to:
% 29.07/7.51 | (537) $false
% 29.07/7.51 |
% 29.07/7.51 |-The branch is then unsatisfiable
% 29.07/7.51 |-Branch two:
% 29.07/7.51 | (992) all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)
% 29.07/7.51 |
% 29.07/7.51 | Applying alpha-rule on (992) yields:
% 29.07/7.51 | (993) all_0_227_227 = e12
% 29.07/7.51 | (994) ~ (all_0_226_226 = e11)
% 29.07/7.51 | (995) ~ (all_0_228_228 = e12)
% 29.07/7.51 |
% 29.07/7.51 | Combining equations (1329,993) yields a new equation:
% 29.07/7.51 | (832) e13 = e12
% 29.07/7.51 |
% 29.07/7.51 | Simplifying 832 yields:
% 29.07/7.51 | (833) e13 = e12
% 29.07/7.51 |
% 29.07/7.51 | Equations (833) can reduce 305 to:
% 29.07/7.51 | (537) $false
% 29.07/7.51 |
% 29.07/7.51 |-The branch is then unsatisfiable
% 29.07/7.51 |-Branch two:
% 29.07/7.51 | (997) all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10)
% 29.07/7.51 |
% 29.07/7.51 | Applying alpha-rule on (997) yields:
% 29.07/7.51 | (998) all_0_232_232 = e10
% 29.07/7.51 | (999) ~ (all_0_231_231 = e11)
% 29.07/7.51 | (1000) ~ (all_0_233_233 = e10)
% 29.07/7.51 |
% 29.07/7.51 | Equations (3066) can reduce 999 to:
% 29.07/7.51 | (537) $false
% 29.07/7.51 |
% 29.07/7.51 |-The branch is then unsatisfiable
% 29.07/7.51 |-Branch two:
% 29.07/7.51 | (1004) all_0_249_249 = e11 & ~ (all_0_248_248 = e10)
% 29.07/7.51 |
% 29.07/7.51 | Applying alpha-rule on (1004) yields:
% 29.07/7.51 | (1005) all_0_249_249 = e11
% 29.07/7.51 | (905) ~ (all_0_248_248 = e10)
% 29.07/7.51 |
% 29.07/7.51 | Equations (910) can reduce 905 to:
% 29.07/7.51 | (537) $false
% 29.07/7.51 |
% 29.07/7.51 |-The branch is then unsatisfiable
% 29.07/7.51 |-Branch two:
% 29.07/7.51 | (1010) ~ (all_0_251_251 = e12)
% 29.07/7.51 | (1403) all_0_255_255 = e12
% 29.07/7.51 |
% 29.07/7.51 | Combining equations (1178,1403) yields a new equation:
% 29.07/7.51 | (952) e12 = e10
% 29.07/7.51 |
% 29.07/7.51 | Equations (952) can reduce 8 to:
% 29.07/7.51 | (537) $false
% 29.07/7.51 |
% 29.07/7.51 |-The branch is then unsatisfiable
% 29.07/7.51 |-Branch two:
% 29.07/7.51 | (774) ~ (all_0_246_246 = e12)
% 29.07/7.51 | (775) all_0_247_247 = e12 | all_0_248_248 = e12
% 29.07/7.51 |
% 29.07/7.51 +-Applying beta-rule and splitting (396), into two cases.
% 29.07/7.51 |-Branch one:
% 29.07/7.51 | (720) all_0_246_246 = e11
% 29.07/7.51 |
% 29.07/7.51 | Equations (720) can reduce 1692 to:
% 29.07/7.51 | (537) $false
% 29.07/7.51 |
% 29.07/7.51 |-The branch is then unsatisfiable
% 29.07/7.51 |-Branch two:
% 29.07/7.51 | (1692) ~ (all_0_246_246 = e11)
% 29.07/7.51 | (1801) all_0_246_246 = e13 | all_0_246_246 = e12
% 29.07/7.51 |
% 29.07/7.51 +-Applying beta-rule and splitting (1801), into two cases.
% 29.07/7.51 |-Branch one:
% 29.07/7.51 | (1465) all_0_246_246 = e13
% 29.07/7.51 |
% 29.07/7.51 | Equations (1465) can reduce 1469 to:
% 29.07/7.51 | (537) $false
% 29.07/7.51 |
% 29.07/7.51 |-The branch is then unsatisfiable
% 29.07/7.51 |-Branch two:
% 29.07/7.51 | (1469) ~ (all_0_246_246 = e13)
% 29.07/7.51 | (770) all_0_246_246 = e12
% 29.07/7.51 |
% 29.07/7.51 | Equations (770) can reduce 774 to:
% 29.07/7.51 | (537) $false
% 29.07/7.51 |
% 29.07/7.51 |-The branch is then unsatisfiable
% 29.07/7.51 |-Branch two:
% 29.07/7.51 | (1405) ~ (all_0_247_247 = e13)
% 29.07/7.51 | (1406) all_0_251_251 = e13 | all_0_255_255 = e13
% 29.07/7.51 |
% 29.07/7.51 +-Applying beta-rule and splitting (1406), into two cases.
% 29.07/7.51 |-Branch one:
% 29.07/7.51 | (929) all_0_251_251 = e13
% 29.07/7.51 |
% 29.07/7.51 | Equations (929) can reduce 778 to:
% 29.07/7.51 | (537) $false
% 29.07/7.51 |
% 29.07/7.51 |-The branch is then unsatisfiable
% 29.07/7.51 |-Branch two:
% 29.07/7.51 | (778) ~ (all_0_251_251 = e13)
% 29.07/7.51 | (839) all_0_255_255 = e13
% 29.07/7.51 |
% 29.07/7.51 | Combining equations (1178,839) yields a new equation:
% 29.07/7.51 | (862) e13 = e10
% 29.07/7.51 |
% 29.07/7.51 | Equations (862) can reduce 210 to:
% 29.07/7.51 | (537) $false
% 29.07/7.51 |
% 29.07/7.51 |-The branch is then unsatisfiable
% 29.07/7.51 |-Branch two:
% 29.07/7.51 | (1498) ~ (all_0_255_255 = e10)
% 29.07/7.51 | (1499) all_0_256_256 = e10 | all_0_257_257 = e10
% 29.07/7.51 |
% 29.07/7.51 +-Applying beta-rule and splitting (189), into two cases.
% 29.07/7.51 |-Branch one:
% 29.07/7.51 | (1191) all_0_247_247 = e13
% 29.07/7.51 |
% 29.07/7.51 | Equations (1191) can reduce 248 to:
% 29.07/7.51 | (1469) ~ (all_0_246_246 = e13)
% 29.07/7.51 |
% 29.07/7.51 | Equations (1191) can reduce 1025 to:
% 29.07/7.51 | (210) ~ (e13 = e10)
% 29.07/7.51 |
% 29.07/7.51 +-Applying beta-rule and splitting (29), into two cases.
% 29.07/7.51 |-Branch one:
% 29.07/7.51 | (770) all_0_246_246 = e12
% 29.07/7.51 |
% 29.07/7.51 | Equations (770) can reduce 116 to:
% 29.07/7.51 | (8) ~ (e12 = e10)
% 29.07/7.51 |
% 29.07/7.51 +-Applying beta-rule and splitting (1499), into two cases.
% 29.07/7.51 |-Branch one:
% 29.07/7.51 | (1021) all_0_256_256 = e10
% 29.07/7.51 |
% 29.07/7.51 | Combining equations (1021,1676) yields a new equation:
% 29.07/7.51 | (952) e12 = e10
% 29.07/7.51 |
% 29.07/7.51 | Equations (952) can reduce 8 to:
% 29.07/7.51 | (537) $false
% 29.07/7.51 |
% 29.07/7.51 |-The branch is then unsatisfiable
% 29.07/7.51 |-Branch two:
% 29.07/7.51 | (1521) ~ (all_0_256_256 = e10)
% 29.07/7.51 | (871) all_0_257_257 = e10
% 29.07/7.51 |
% 29.07/7.51 | Combining equations (871,1187) yields a new equation:
% 29.07/7.51 | (862) e13 = e10
% 29.07/7.51 |
% 29.07/7.51 | Equations (862) can reduce 210 to:
% 29.07/7.51 | (537) $false
% 29.07/7.51 |
% 29.07/7.51 |-The branch is then unsatisfiable
% 29.07/7.51 |-Branch two:
% 29.07/7.51 | (774) ~ (all_0_246_246 = e12)
% 29.07/7.51 | (775) all_0_247_247 = e12 | all_0_248_248 = e12
% 29.07/7.51 |
% 29.07/7.51 +-Applying beta-rule and splitting (396), into two cases.
% 29.07/7.51 |-Branch one:
% 29.07/7.51 | (720) all_0_246_246 = e11
% 29.07/7.51 |
% 29.07/7.51 | Equations (720) can reduce 1692 to:
% 29.07/7.51 | (537) $false
% 29.07/7.51 |
% 29.07/7.51 |-The branch is then unsatisfiable
% 29.07/7.51 |-Branch two:
% 29.07/7.51 | (1692) ~ (all_0_246_246 = e11)
% 29.07/7.51 | (1801) all_0_246_246 = e13 | all_0_246_246 = e12
% 29.07/7.51 |
% 29.07/7.51 +-Applying beta-rule and splitting (1801), into two cases.
% 29.07/7.51 |-Branch one:
% 29.07/7.51 | (1465) all_0_246_246 = e13
% 29.07/7.51 |
% 29.07/7.51 | Equations (1465) can reduce 1469 to:
% 29.07/7.51 | (537) $false
% 29.07/7.51 |
% 29.07/7.51 |-The branch is then unsatisfiable
% 29.07/7.51 |-Branch two:
% 29.07/7.51 | (1469) ~ (all_0_246_246 = e13)
% 29.07/7.51 | (770) all_0_246_246 = e12
% 29.07/7.51 |
% 29.07/7.51 | Equations (770) can reduce 774 to:
% 29.07/7.51 | (537) $false
% 29.07/7.51 |
% 29.07/7.51 |-The branch is then unsatisfiable
% 29.07/7.51 |-Branch two:
% 29.07/7.51 | (1405) ~ (all_0_247_247 = e13)
% 29.07/7.51 | (1406) all_0_251_251 = e13 | all_0_255_255 = e13
% 29.07/7.51 |
% 29.07/7.51 +-Applying beta-rule and splitting (1406), into two cases.
% 29.07/7.51 |-Branch one:
% 29.07/7.51 | (929) all_0_251_251 = e13
% 29.07/7.51 |
% 29.07/7.51 | Equations (929) can reduce 778 to:
% 29.07/7.51 | (537) $false
% 29.07/7.51 |
% 29.07/7.51 |-The branch is then unsatisfiable
% 29.07/7.51 |-Branch two:
% 29.07/7.51 | (778) ~ (all_0_251_251 = e13)
% 29.07/7.51 | (839) all_0_255_255 = e13
% 29.07/7.51 |
% 29.07/7.51 | Equations (839) can reduce 1189 to:
% 29.07/7.51 | (537) $false
% 29.07/7.51 |
% 29.07/7.51 |-The branch is then unsatisfiable
% 29.07/7.51 |-Branch two:
% 29.07/7.51 | (1417) ~ (all_0_250_250 = e13)
% 29.07/7.51 | (795) all_0_254_254 = e13
% 29.07/7.51 |
% 29.07/7.51 | Combining equations (795,791) yields a new equation:
% 29.07/7.51 | (958) e13 = e11
% 29.07/7.51 |
% 29.07/7.51 | Simplifying 958 yields:
% 29.07/7.51 | (959) e13 = e11
% 29.07/7.51 |
% 29.07/7.51 | Equations (959) can reduce 446 to:
% 29.07/7.51 | (537) $false
% 29.07/7.51 |
% 29.07/7.51 |-The branch is then unsatisfiable
% 29.07/7.51 |-Branch two:
% 29.07/7.51 | (2009) ~ (all_0_256_256 = e12)
% 29.07/7.51 | (1021) all_0_256_256 = e10
% 29.07/7.51 |
% 29.07/7.51 | Equations (1021) can reduce 1521 to:
% 29.07/7.51 | (537) $false
% 29.07/7.51 |
% 29.07/7.51 |-The branch is then unsatisfiable
% 29.07/7.51 |-Branch two:
% 29.07/7.51 | (905) ~ (all_0_248_248 = e10)
% 29.07/7.51 | (913) all_0_252_252 = e10 | all_0_256_256 = e10
% 29.07/7.51 |
% 29.07/7.51 +-Applying beta-rule and splitting (913), into two cases.
% 29.07/7.51 |-Branch one:
% 29.07/7.51 | (918) all_0_252_252 = e10
% 29.07/7.51 |
% 29.07/7.51 | Combining equations (738,918) yields a new equation:
% 29.07/7.51 | (867) e11 = e10
% 29.07/7.51 |
% 29.07/7.51 | Simplifying 867 yields:
% 29.07/7.51 | (868) e11 = e10
% 29.07/7.51 |
% 29.07/7.51 | Equations (868) can reduce 293 to:
% 29.07/7.51 | (537) $false
% 29.07/7.51 |
% 29.07/7.51 |-The branch is then unsatisfiable
% 29.07/7.51 |-Branch two:
% 29.07/7.51 | (1020) ~ (all_0_252_252 = e10)
% 29.07/7.51 | (1021) all_0_256_256 = e10
% 29.07/7.51 |
% 29.07/7.51 | Equations (1021) can reduce 478 to:
% 29.07/7.51 | (905) ~ (all_0_248_248 = e10)
% 29.07/7.51 |
% 29.07/7.51 | Equations (1021) can reduce 227 to:
% 29.07/7.51 | (3027) ~ (all_0_257_257 = e10)
% 29.07/7.51 |
% 29.07/7.51 | Simplifying 3027 yields:
% 29.07/7.51 | (3028) ~ (all_0_257_257 = e10)
% 29.07/7.51 |
% 29.07/7.51 | From (1021) and (363) follows:
% 29.07/7.51 | (5215) h1(e10) = all_0_91_91
% 29.07/7.51 |
% 29.07/7.51 +-Applying beta-rule and splitting (1508), into two cases.
% 29.07/7.51 |-Branch one:
% 29.07/7.51 | (1187) all_0_257_257 = e13
% 29.07/7.51 |
% 29.07/7.51 | Equations (1187) can reduce 51 to:
% 29.07/7.51 | (1186) ~ (all_0_253_253 = e13)
% 29.07/7.51 |
% 29.07/7.51 | From (1187) and (412) follows:
% 29.07/7.51 | (5218) h1(e13) = all_0_92_92
% 29.07/7.51 |
% 29.07/7.51 +-Applying beta-rule and splitting (433), into two cases.
% 29.07/7.51 |-Branch one:
% 29.07/7.51 | (927) all_0_248_248 = e12
% 29.07/7.51 |
% 29.07/7.51 | Equations (927) can reduce 298 to:
% 29.07/7.51 | (774) ~ (all_0_246_246 = e12)
% 29.07/7.51 |
% 29.07/7.51 | Equations (927) can reduce 724 to:
% 29.07/7.51 | (113) ~ (e12 = e11)
% 29.07/7.51 |
% 29.07/7.51 | From (927) and (161) follows:
% 29.07/7.51 | (5222) h1(e12) = all_0_83_83
% 29.07/7.51 |
% 29.07/7.51 +-Applying beta-rule and splitting (2526), into two cases.
% 29.07/7.51 |-Branch one:
% 29.07/7.51 | (1183) all_0_253_253 = e13
% 29.07/7.51 |
% 29.07/7.51 | Equations (1183) can reduce 1186 to:
% 29.07/7.51 | (537) $false
% 29.07/7.51 |
% 29.07/7.51 |-The branch is then unsatisfiable
% 29.07/7.51 |-Branch two:
% 29.07/7.51 | (1186) ~ (all_0_253_253 = e13)
% 29.07/7.51 | (866) all_0_253_253 = e10
% 29.07/7.51 |
% 29.07/7.51 | Equations (866) can reduce 111 to:
% 29.07/7.51 | (334) ~ (all_0_250_250 = e10)
% 29.07/7.51 |
% 29.07/7.51 | Equations (866) can reduce 2525 to:
% 29.07/7.51 | (906) ~ (e11 = e10)
% 29.07/7.51 |
% 29.07/7.51 | Simplifying 906 yields:
% 29.07/7.51 | (293) ~ (e11 = e10)
% 29.07/7.51 |
% 29.07/7.51 | From (866) and (219) follows:
% 29.07/7.51 | (5230) h1(e10) = all_0_88_88
% 29.07/7.51 |
% 29.07/7.51 +-Applying beta-rule and splitting (404), into two cases.
% 29.07/7.51 |-Branch one:
% 29.07/7.51 | (770) all_0_246_246 = e12
% 29.07/7.51 |
% 29.07/7.51 | Equations (770) can reduce 774 to:
% 29.07/7.51 | (537) $false
% 29.07/7.51 |
% 29.07/7.51 |-The branch is then unsatisfiable
% 29.07/7.51 |-Branch two:
% 29.07/7.51 | (774) ~ (all_0_246_246 = e12)
% 29.07/7.51 | (1966) all_0_250_250 = e12 | all_0_254_254 = e12
% 29.07/7.51 |
% 29.07/7.51 +-Applying beta-rule and splitting (396), into two cases.
% 29.07/7.51 |-Branch one:
% 29.07/7.51 | (720) all_0_246_246 = e11
% 29.07/7.51 |
% 29.07/7.51 | Equations (720) can reduce 1692 to:
% 29.07/7.51 | (537) $false
% 29.07/7.51 |
% 29.07/7.51 |-The branch is then unsatisfiable
% 29.07/7.51 |-Branch two:
% 29.07/7.51 | (1692) ~ (all_0_246_246 = e11)
% 29.07/7.51 | (1801) all_0_246_246 = e13 | all_0_246_246 = e12
% 29.07/7.51 |
% 29.07/7.51 +-Applying beta-rule and splitting (329), into two cases.
% 29.07/7.51 |-Branch one:
% 29.07/7.51 | (798) all_0_254_254 = e12
% 29.07/7.51 |
% 29.07/7.51 | Combining equations (791,798) yields a new equation:
% 29.07/7.51 | (772) e12 = e11
% 29.07/7.51 |
% 29.07/7.51 | Equations (772) can reduce 113 to:
% 29.07/7.51 | (537) $false
% 29.07/7.51 |
% 29.07/7.51 |-The branch is then unsatisfiable
% 29.07/7.51 |-Branch two:
% 29.07/7.52 | (1426) ~ (all_0_254_254 = e12)
% 29.07/7.52 | (1443) all_0_255_255 = e12 | all_0_256_256 = e12
% 29.07/7.52 |
% 29.07/7.52 | Equations (791) can reduce 1426 to:
% 29.07/7.52 | (698) ~ (e12 = e11)
% 29.07/7.52 |
% 29.07/7.52 | Simplifying 698 yields:
% 29.07/7.52 | (113) ~ (e12 = e11)
% 29.07/7.52 |
% 29.07/7.52 +-Applying beta-rule and splitting (1801), into two cases.
% 29.07/7.52 |-Branch one:
% 29.07/7.52 | (1465) all_0_246_246 = e13
% 29.07/7.52 |
% 29.07/7.52 | Equations (1465) can reduce 47 to:
% 29.07/7.52 | (4644) ~ (all_0_250_250 = e13)
% 29.07/7.52 |
% 29.07/7.52 | Simplifying 4644 yields:
% 29.07/7.52 | (1417) ~ (all_0_250_250 = e13)
% 29.07/7.52 |
% 29.07/7.52 | From (1465) and (408) follows:
% 29.07/7.52 | (5249) h1(e13) = all_0_81_81
% 29.07/7.52 |
% 29.07/7.52 +-Applying beta-rule and splitting (398), into two cases.
% 29.07/7.52 |-Branch one:
% 29.07/7.52 | (902) all_0_247_247 = e10
% 29.07/7.52 |
% 29.07/7.52 | Equations (902) can reduce 296 to:
% 29.07/7.52 | (1803) ~ (all_0_251_251 = e10)
% 29.07/7.52 |
% 29.07/7.52 | Simplifying 1803 yields:
% 29.07/7.52 | (921) ~ (all_0_251_251 = e10)
% 29.07/7.52 |
% 29.07/7.52 | From (902) and (255) follows:
% 29.07/7.52 | (5253) h1(e10) = all_0_82_82
% 29.07/7.52 |
% 29.07/7.52 +-Applying beta-rule and splitting (1966), into two cases.
% 29.07/7.52 |-Branch one:
% 29.07/7.52 | (1152) all_0_250_250 = e12
% 29.07/7.52 |
% 29.07/7.52 | Equations (1152) can reduce 334 to:
% 29.07/7.52 | (8) ~ (e12 = e10)
% 29.07/7.52 |
% 29.07/7.52 | From (1152) and (405) follows:
% 29.07/7.52 | (5256) h1(e12) = all_0_85_85
% 29.07/7.52 |
% 29.07/7.52 +-Applying beta-rule and splitting (180), into two cases.
% 29.07/7.52 |-Branch one:
% 29.07/7.52 | (929) all_0_251_251 = e13
% 29.07/7.52 |
% 29.07/7.52 | From (929) and (322) follows:
% 29.07/7.52 | (5258) h1(e13) = all_0_86_86
% 29.07/7.52 |
% 29.07/7.52 +-Applying beta-rule and splitting (1443), into two cases.
% 29.07/7.52 |-Branch one:
% 29.07/7.52 | (1403) all_0_255_255 = e12
% 29.07/7.52 |
% 29.07/7.52 | From (1403) and (358) follows:
% 29.07/7.52 | (5260) h1(e12) = all_0_90_90
% 29.07/7.52 |
% 29.07/7.52 | Instantiating formula (10) with e13, all_0_81_81, e23 and discharging atoms h1(e13) = all_0_81_81, h1(e13) = e23, yields:
% 29.07/7.52 | (5261) all_0_81_81 = e23
% 29.07/7.52 |
% 29.07/7.52 | Instantiating formula (10) with e13, all_0_86_86, all_0_81_81 and discharging atoms h1(e13) = all_0_81_81, h1(e13) = all_0_86_86, yields:
% 29.07/7.52 | (5262) all_0_81_81 = all_0_86_86
% 29.07/7.52 |
% 29.07/7.52 | Instantiating formula (10) with e13, all_0_92_92, all_0_81_81 and discharging atoms h1(e13) = all_0_81_81, h1(e13) = all_0_92_92, yields:
% 29.07/7.52 | (5263) all_0_81_81 = all_0_92_92
% 29.07/7.52 |
% 29.07/7.52 | Instantiating formula (10) with e12, all_0_83_83, e22 and discharging atoms h1(e12) = all_0_83_83, h1(e12) = e22, yields:
% 29.07/7.52 | (5264) all_0_83_83 = e22
% 29.07/7.52 |
% 29.07/7.52 | Instantiating formula (10) with e12, all_0_85_85, all_0_83_83 and discharging atoms h1(e12) = all_0_83_83, h1(e12) = all_0_85_85, yields:
% 29.07/7.52 | (5265) all_0_83_83 = all_0_85_85
% 29.07/7.52 |
% 29.07/7.52 | Instantiating formula (10) with e12, all_0_90_90, all_0_85_85 and discharging atoms h1(e12) = all_0_85_85, h1(e12) = all_0_90_90, yields:
% 29.07/7.52 | (5266) all_0_85_85 = all_0_90_90
% 29.07/7.52 |
% 29.07/7.52 | Instantiating formula (10) with e10, all_0_82_82, e20 and discharging atoms h1(e10) = all_0_82_82, h1(e10) = e20, yields:
% 29.07/7.52 | (5267) all_0_82_82 = e20
% 29.07/7.52 |
% 29.07/7.52 | Instantiating formula (10) with e10, all_0_88_88, all_0_82_82 and discharging atoms h1(e10) = all_0_82_82, h1(e10) = all_0_88_88, yields:
% 29.07/7.52 | (5268) all_0_82_82 = all_0_88_88
% 29.07/7.52 |
% 29.07/7.52 | Instantiating formula (10) with e10, all_0_91_91, all_0_82_82 and discharging atoms h1(e10) = all_0_82_82, h1(e10) = all_0_91_91, yields:
% 29.07/7.52 | (5269) all_0_82_82 = all_0_91_91
% 29.07/7.52 |
% 29.07/7.52 | Combining equations (5261,5262) yields a new equation:
% 29.07/7.52 | (5270) all_0_86_86 = e23
% 29.07/7.52 |
% 29.07/7.52 | Combining equations (5263,5262) yields a new equation:
% 29.07/7.52 | (5271) all_0_86_86 = all_0_92_92
% 29.07/7.52 |
% 29.07/7.52 | Combining equations (5267,5268) yields a new equation:
% 29.07/7.52 | (5272) all_0_88_88 = e20
% 29.07/7.52 |
% 29.07/7.52 | Combining equations (5269,5268) yields a new equation:
% 29.07/7.52 | (5273) all_0_88_88 = all_0_91_91
% 29.07/7.52 |
% 29.07/7.52 | Combining equations (5265,5264) yields a new equation:
% 29.07/7.52 | (5274) all_0_85_85 = e22
% 29.07/7.52 |
% 29.07/7.52 | Simplifying 5274 yields:
% 29.07/7.52 | (5275) all_0_85_85 = e22
% 29.07/7.52 |
% 29.07/7.52 | Combining equations (5275,5266) yields a new equation:
% 29.07/7.52 | (5276) all_0_90_90 = e22
% 29.07/7.52 |
% 29.07/7.52 | Combining equations (5270,5271) yields a new equation:
% 29.07/7.52 | (5277) all_0_92_92 = e23
% 29.07/7.52 |
% 29.07/7.52 | Combining equations (5273,5272) yields a new equation:
% 29.07/7.52 | (5278) all_0_91_91 = e20
% 29.07/7.52 |
% 29.07/7.52 | Simplifying 5278 yields:
% 29.07/7.52 | (5279) all_0_91_91 = e20
% 29.07/7.52 |
% 29.07/7.52 | Combining equations (5277,5271) yields a new equation:
% 29.07/7.52 | (5270) all_0_86_86 = e23
% 29.07/7.52 |
% 29.07/7.52 | Combining equations (5276,5266) yields a new equation:
% 29.07/7.52 | (5275) all_0_85_85 = e22
% 29.07/7.52 |
% 29.07/7.52 | Combining equations (5272,5268) yields a new equation:
% 29.07/7.52 | (5267) all_0_82_82 = e20
% 29.07/7.52 |
% 29.07/7.52 | Combining equations (5270,5262) yields a new equation:
% 29.07/7.52 | (5261) all_0_81_81 = e23
% 29.07/7.52 |
% 29.07/7.52 +-Applying beta-rule and splitting (112), into two cases.
% 29.07/7.52 |-Branch one:
% 29.07/7.52 | (5284) ~ (all_0_81_81 = all_0_234_234)
% 29.07/7.52 |
% 29.07/7.52 | Equations (5261,604) can reduce 5284 to:
% 29.07/7.53 | (537) $false
% 29.07/7.53 |
% 29.07/7.53 |-The branch is then unsatisfiable
% 29.07/7.53 |-Branch two:
% 29.07/7.53 | (5286) all_0_81_81 = all_0_234_234
% 29.07/7.53 | (5287) ~ (all_0_82_82 = all_0_235_235) | ~ (all_0_83_83 = all_0_236_236) | ~ (all_0_84_84 = all_0_237_237) | ~ (all_0_85_85 = all_0_238_238) | ~ (all_0_86_86 = all_0_239_239) | ~ (all_0_87_87 = all_0_240_240) | ~ (all_0_88_88 = all_0_241_241) | ~ (all_0_89_89 = all_0_242_242) | ~ (all_0_90_90 = all_0_243_243) | ~ (all_0_91_91 = all_0_244_244) | ~ (all_0_92_92 = all_0_245_245)
% 29.07/7.53 |
% 29.07/7.53 +-Applying beta-rule and splitting (5287), into two cases.
% 29.07/7.53 |-Branch one:
% 29.07/7.53 | (5288) ~ (all_0_82_82 = all_0_235_235)
% 29.07/7.53 |
% 29.07/7.53 | Equations (5267,651) can reduce 5288 to:
% 29.07/7.53 | (537) $false
% 29.07/7.53 |
% 29.07/7.53 |-The branch is then unsatisfiable
% 29.07/7.53 |-Branch two:
% 29.07/7.53 | (5290) all_0_82_82 = all_0_235_235
% 29.07/7.53 | (5291) ~ (all_0_83_83 = all_0_236_236) | ~ (all_0_84_84 = all_0_237_237) | ~ (all_0_85_85 = all_0_238_238) | ~ (all_0_86_86 = all_0_239_239) | ~ (all_0_87_87 = all_0_240_240) | ~ (all_0_88_88 = all_0_241_241) | ~ (all_0_89_89 = all_0_242_242) | ~ (all_0_90_90 = all_0_243_243) | ~ (all_0_91_91 = all_0_244_244) | ~ (all_0_92_92 = all_0_245_245)
% 29.07/7.53 |
% 29.07/7.53 +-Applying beta-rule and splitting (5291), into two cases.
% 29.07/7.53 |-Branch one:
% 29.07/7.53 | (5292) ~ (all_0_83_83 = all_0_236_236)
% 29.07/7.53 |
% 29.07/7.53 | Equations (5264,645) can reduce 5292 to:
% 29.07/7.53 | (537) $false
% 29.07/7.53 |
% 29.07/7.53 |-The branch is then unsatisfiable
% 29.07/7.53 |-Branch two:
% 29.07/7.53 | (5294) all_0_83_83 = all_0_236_236
% 29.07/7.53 | (5295) ~ (all_0_84_84 = all_0_237_237) | ~ (all_0_85_85 = all_0_238_238) | ~ (all_0_86_86 = all_0_239_239) | ~ (all_0_87_87 = all_0_240_240) | ~ (all_0_88_88 = all_0_241_241) | ~ (all_0_89_89 = all_0_242_242) | ~ (all_0_90_90 = all_0_243_243) | ~ (all_0_91_91 = all_0_244_244) | ~ (all_0_92_92 = all_0_245_245)
% 29.07/7.53 |
% 29.07/7.53 +-Applying beta-rule and splitting (5295), into two cases.
% 29.07/7.53 |-Branch one:
% 29.07/7.53 | (5296) ~ (all_0_84_84 = all_0_237_237)
% 29.07/7.53 |
% 29.07/7.53 | Equations (4588,523) can reduce 5296 to:
% 29.07/7.53 | (537) $false
% 29.07/7.53 |
% 29.07/7.53 |-The branch is then unsatisfiable
% 29.07/7.53 |-Branch two:
% 29.07/7.53 | (5298) all_0_84_84 = all_0_237_237
% 29.07/7.53 | (5299) ~ (all_0_85_85 = all_0_238_238) | ~ (all_0_86_86 = all_0_239_239) | ~ (all_0_87_87 = all_0_240_240) | ~ (all_0_88_88 = all_0_241_241) | ~ (all_0_89_89 = all_0_242_242) | ~ (all_0_90_90 = all_0_243_243) | ~ (all_0_91_91 = all_0_244_244) | ~ (all_0_92_92 = all_0_245_245)
% 29.07/7.53 |
% 29.07/7.53 +-Applying beta-rule and splitting (5299), into two cases.
% 29.07/7.53 |-Branch one:
% 29.07/7.53 | (5300) ~ (all_0_85_85 = all_0_238_238)
% 29.07/7.53 |
% 29.07/7.53 | Equations (5275,610) can reduce 5300 to:
% 29.07/7.53 | (537) $false
% 29.07/7.53 |
% 29.07/7.53 |-The branch is then unsatisfiable
% 29.07/7.53 |-Branch two:
% 29.07/7.53 | (5302) all_0_85_85 = all_0_238_238
% 29.07/7.53 | (5303) ~ (all_0_86_86 = all_0_239_239) | ~ (all_0_87_87 = all_0_240_240) | ~ (all_0_88_88 = all_0_241_241) | ~ (all_0_89_89 = all_0_242_242) | ~ (all_0_90_90 = all_0_243_243) | ~ (all_0_91_91 = all_0_244_244) | ~ (all_0_92_92 = all_0_245_245)
% 29.07/7.53 |
% 29.07/7.53 +-Applying beta-rule and splitting (5303), into two cases.
% 29.07/7.53 |-Branch one:
% 29.07/7.53 | (5304) ~ (all_0_86_86 = all_0_239_239)
% 29.07/7.53 |
% 29.07/7.53 | Equations (5270,692) can reduce 5304 to:
% 29.07/7.53 | (537) $false
% 29.07/7.53 |
% 29.07/7.53 |-The branch is then unsatisfiable
% 29.07/7.53 |-Branch two:
% 29.07/7.53 | (5306) all_0_86_86 = all_0_239_239
% 29.31/7.53 | (5307) ~ (all_0_87_87 = all_0_240_240) | ~ (all_0_88_88 = all_0_241_241) | ~ (all_0_89_89 = all_0_242_242) | ~ (all_0_90_90 = all_0_243_243) | ~ (all_0_91_91 = all_0_244_244) | ~ (all_0_92_92 = all_0_245_245)
% 29.31/7.53 |
% 29.31/7.53 +-Applying beta-rule and splitting (5307), into two cases.
% 29.31/7.53 |-Branch one:
% 29.31/7.53 | (5308) ~ (all_0_87_87 = all_0_240_240)
% 29.31/7.53 |
% 29.31/7.53 | Equations (4546,540) can reduce 5308 to:
% 29.31/7.53 | (537) $false
% 29.31/7.53 |
% 29.31/7.53 |-The branch is then unsatisfiable
% 29.31/7.53 |-Branch two:
% 29.31/7.53 | (5310) all_0_87_87 = all_0_240_240
% 29.31/7.53 | (5311) ~ (all_0_88_88 = all_0_241_241) | ~ (all_0_89_89 = all_0_242_242) | ~ (all_0_90_90 = all_0_243_243) | ~ (all_0_91_91 = all_0_244_244) | ~ (all_0_92_92 = all_0_245_245)
% 29.31/7.53 |
% 29.31/7.53 +-Applying beta-rule and splitting (5311), into two cases.
% 29.31/7.53 |-Branch one:
% 29.31/7.53 | (5312) ~ (all_0_88_88 = all_0_241_241)
% 29.31/7.53 |
% 29.31/7.53 | Equations (5272,681) can reduce 5312 to:
% 29.31/7.53 | (537) $false
% 29.31/7.53 |
% 29.31/7.53 |-The branch is then unsatisfiable
% 29.31/7.53 |-Branch two:
% 29.31/7.53 | (5314) all_0_88_88 = all_0_241_241
% 29.31/7.53 | (5315) ~ (all_0_89_89 = all_0_242_242) | ~ (all_0_90_90 = all_0_243_243) | ~ (all_0_91_91 = all_0_244_244) | ~ (all_0_92_92 = all_0_245_245)
% 29.31/7.53 |
% 29.31/7.53 +-Applying beta-rule and splitting (5315), into two cases.
% 29.31/7.53 |-Branch one:
% 29.31/7.53 | (5316) ~ (all_0_89_89 = all_0_242_242)
% 29.31/7.53 |
% 29.31/7.53 | Equations (4590,500) can reduce 5316 to:
% 29.31/7.53 | (537) $false
% 29.31/7.53 |
% 29.31/7.53 |-The branch is then unsatisfiable
% 29.31/7.53 |-Branch two:
% 29.31/7.53 | (5318) all_0_89_89 = all_0_242_242
% 29.31/7.53 | (5319) ~ (all_0_90_90 = all_0_243_243) | ~ (all_0_91_91 = all_0_244_244) | ~ (all_0_92_92 = all_0_245_245)
% 29.31/7.53 |
% 29.31/7.53 +-Applying beta-rule and splitting (5319), into two cases.
% 29.31/7.53 |-Branch one:
% 29.31/7.53 | (5320) ~ (all_0_90_90 = all_0_243_243)
% 29.31/7.53 |
% 29.31/7.53 | Equations (5276,689) can reduce 5320 to:
% 29.31/7.53 | (537) $false
% 29.31/7.53 |
% 29.31/7.53 |-The branch is then unsatisfiable
% 29.31/7.53 |-Branch two:
% 29.31/7.53 | (5322) all_0_90_90 = all_0_243_243
% 29.31/7.53 | (5323) ~ (all_0_91_91 = all_0_244_244) | ~ (all_0_92_92 = all_0_245_245)
% 29.31/7.53 |
% 29.31/7.53 +-Applying beta-rule and splitting (5323), into two cases.
% 29.31/7.53 |-Branch one:
% 29.31/7.53 | (5324) ~ (all_0_91_91 = all_0_244_244)
% 29.31/7.53 |
% 29.31/7.53 | Equations (5279,667) can reduce 5324 to:
% 29.31/7.53 | (537) $false
% 29.31/7.53 |
% 29.31/7.53 |-The branch is then unsatisfiable
% 29.31/7.53 |-Branch two:
% 29.31/7.53 | (5326) all_0_91_91 = all_0_244_244
% 29.31/7.54 | (5327) ~ (all_0_92_92 = all_0_245_245)
% 29.31/7.54 |
% 29.31/7.54 | Equations (5277,687) can reduce 5327 to:
% 29.31/7.54 | (537) $false
% 29.31/7.54 |
% 29.31/7.54 |-The branch is then unsatisfiable
% 29.31/7.54 |-Branch two:
% 29.31/7.54 | (800) ~ (all_0_255_255 = e12)
% 29.31/7.54 | (1676) all_0_256_256 = e12
% 29.31/7.54 |
% 29.31/7.54 | Combining equations (1021,1676) yields a new equation:
% 29.31/7.54 | (952) e12 = e10
% 29.31/7.54 |
% 29.31/7.54 | Equations (952) can reduce 8 to:
% 29.31/7.54 | (537) $false
% 29.31/7.54 |
% 29.31/7.54 |-The branch is then unsatisfiable
% 29.31/7.54 |-Branch two:
% 29.31/7.54 | (778) ~ (all_0_251_251 = e13)
% 29.31/7.54 | (932) all_0_251_251 = e12 | all_0_251_251 = e10
% 29.31/7.54 |
% 29.31/7.54 +-Applying beta-rule and splitting (1443), into two cases.
% 29.31/7.54 |-Branch one:
% 29.31/7.54 | (1403) all_0_255_255 = e12
% 29.31/7.54 |
% 29.31/7.54 | Equations (1403) can reduce 481 to:
% 29.31/7.54 | (1010) ~ (all_0_251_251 = e12)
% 29.31/7.54 |
% 29.31/7.54 +-Applying beta-rule and splitting (932), into two cases.
% 29.31/7.54 |-Branch one:
% 29.31/7.54 | (933) all_0_251_251 = e12
% 29.31/7.54 |
% 29.31/7.54 | Equations (933) can reduce 1010 to:
% 29.31/7.54 | (537) $false
% 29.31/7.54 |
% 29.31/7.54 |-The branch is then unsatisfiable
% 29.31/7.54 |-Branch two:
% 29.31/7.54 | (1010) ~ (all_0_251_251 = e12)
% 29.31/7.54 | (1011) all_0_251_251 = e10
% 29.31/7.54 |
% 29.31/7.54 | Equations (1011) can reduce 921 to:
% 29.31/7.54 | (537) $false
% 29.31/7.54 |
% 29.31/7.54 |-The branch is then unsatisfiable
% 29.31/7.54 |-Branch two:
% 29.31/7.54 | (800) ~ (all_0_255_255 = e12)
% 29.31/7.54 | (1676) all_0_256_256 = e12
% 29.31/7.54 |
% 29.31/7.54 | Combining equations (1676,1021) yields a new equation:
% 29.31/7.54 | (1159) e12 = e10
% 29.31/7.54 |
% 29.31/7.54 | Simplifying 1159 yields:
% 29.31/7.54 | (952) e12 = e10
% 29.31/7.54 |
% 29.31/7.54 | Equations (952) can reduce 8 to:
% 29.31/7.54 | (537) $false
% 29.31/7.54 |
% 29.31/7.54 |-The branch is then unsatisfiable
% 29.31/7.54 |-Branch two:
% 29.31/7.54 | (1156) ~ (all_0_250_250 = e12)
% 29.31/7.54 | (798) all_0_254_254 = e12
% 29.31/7.54 |
% 29.31/7.54 | Combining equations (798,791) yields a new equation:
% 29.31/7.54 | (771) e12 = e11
% 29.31/7.54 |
% 29.31/7.54 | Simplifying 771 yields:
% 29.31/7.54 | (772) e12 = e11
% 29.31/7.54 |
% 29.31/7.54 | Equations (772) can reduce 113 to:
% 29.31/7.54 | (537) $false
% 29.31/7.54 |
% 29.31/7.54 |-The branch is then unsatisfiable
% 29.31/7.54 |-Branch two:
% 29.31/7.54 | (1025) ~ (all_0_247_247 = e10)
% 29.31/7.54 | (1030) all_0_248_248 = e10 | all_0_249_249 = e10
% 29.31/7.54 |
% 29.31/7.54 +-Applying beta-rule and splitting (719), into two cases.
% 29.31/7.54 |-Branch one:
% 29.31/7.54 | (776) all_0_250_250 = e13
% 29.31/7.54 |
% 29.31/7.54 | Equations (776) can reduce 1417 to:
% 29.31/7.54 | (537) $false
% 29.31/7.54 |
% 29.31/7.54 |-The branch is then unsatisfiable
% 29.31/7.54 |-Branch two:
% 29.31/7.54 | (1417) ~ (all_0_250_250 = e13)
% 29.31/7.54 | (1152) all_0_250_250 = e12
% 29.31/7.54 |
% 29.31/7.54 | Equations (1152) can reduce 334 to:
% 29.31/7.54 | (8) ~ (e12 = e10)
% 29.31/7.54 |
% 29.31/7.54 +-Applying beta-rule and splitting (1030), into two cases.
% 29.31/7.54 |-Branch one:
% 29.31/7.54 | (910) all_0_248_248 = e10
% 29.31/7.54 |
% 29.31/7.54 | Combining equations (927,910) yields a new equation:
% 29.31/7.54 | (1159) e12 = e10
% 29.31/7.54 |
% 29.31/7.54 | Simplifying 1159 yields:
% 29.31/7.54 | (952) e12 = e10
% 29.31/7.54 |
% 29.31/7.54 | Equations (952) can reduce 8 to:
% 29.31/7.54 | (537) $false
% 29.31/7.54 |
% 29.31/7.54 |-The branch is then unsatisfiable
% 29.31/7.54 |-Branch two:
% 29.31/7.54 | (905) ~ (all_0_248_248 = e10)
% 29.31/7.54 | (861) all_0_249_249 = e10
% 29.31/7.54 |
% 29.31/7.54 | Combining equations (861,1005) yields a new equation:
% 29.31/7.54 | (868) e11 = e10
% 29.31/7.54 |
% 29.31/7.54 | Equations (868) can reduce 293 to:
% 29.31/7.54 | (537) $false
% 29.31/7.54 |
% 29.31/7.54 |-The branch is then unsatisfiable
% 29.31/7.54 |-Branch two:
% 29.31/7.54 | (1469) ~ (all_0_246_246 = e13)
% 29.31/7.54 | (770) all_0_246_246 = e12
% 29.31/7.54 |
% 29.31/7.54 | Equations (770) can reduce 774 to:
% 29.31/7.54 | (537) $false
% 29.31/7.54 |
% 29.31/7.54 |-The branch is then unsatisfiable
% 29.31/7.54 |-Branch two:
% 29.31/7.54 | (1013) ~ (all_0_248_248 = e12)
% 29.31/7.54 | (1014) all_0_252_252 = e12 | all_0_256_256 = e12
% 29.31/7.54 |
% 29.31/7.54 +-Applying beta-rule and splitting (395), into two cases.
% 29.31/7.54 |-Branch one:
% 29.31/7.54 | (734) all_0_248_248 = e11
% 29.31/7.54 |
% 29.31/7.54 | Equations (734) can reduce 724 to:
% 29.31/7.54 | (537) $false
% 29.31/7.54 |
% 29.31/7.54 |-The branch is then unsatisfiable
% 29.31/7.54 |-Branch two:
% 29.31/7.54 | (724) ~ (all_0_248_248 = e11)
% 29.31/7.54 | (917) all_0_248_248 = e12 | all_0_248_248 = e10
% 29.31/7.54 |
% 29.31/7.54 +-Applying beta-rule and splitting (917), into two cases.
% 29.31/7.54 |-Branch one:
% 29.31/7.54 | (927) all_0_248_248 = e12
% 29.31/7.54 |
% 29.31/7.54 | Equations (927) can reduce 1013 to:
% 29.31/7.54 | (537) $false
% 29.31/7.54 |
% 29.31/7.54 |-The branch is then unsatisfiable
% 29.31/7.54 |-Branch two:
% 29.31/7.54 | (1013) ~ (all_0_248_248 = e12)
% 29.31/7.54 | (910) all_0_248_248 = e10
% 29.31/7.54 |
% 29.31/7.54 | Equations (910) can reduce 905 to:
% 29.31/7.54 | (537) $false
% 29.31/7.54 |
% 29.31/7.54 |-The branch is then unsatisfiable
% 29.31/7.54 |-Branch two:
% 29.31/7.54 | (843) ~ (all_0_257_257 = e13)
% 29.31/7.54 | (871) all_0_257_257 = e10
% 29.31/7.54 |
% 29.31/7.54 | Equations (871) can reduce 3028 to:
% 29.31/7.54 | (537) $false
% 29.31/7.54 |
% 29.31/7.54 |-The branch is then unsatisfiable
% 29.31/7.54 |-Branch two:
% 29.31/7.54 | (744) ~ (all_0_254_254 = e11)
% 29.31/7.54 | (5385) all_0_256_256 = e11 | all_0_257_257 = e11
% 29.31/7.54 |
% 29.31/7.54 +-Applying beta-rule and splitting (5385), into two cases.
% 29.31/7.54 |-Branch one:
% 29.31/7.54 | (741) all_0_256_256 = e11
% 29.31/7.54 |
% 29.31/7.54 | Equations (741) can reduce 1720 to:
% 29.31/7.54 | (537) $false
% 29.31/7.54 |
% 29.31/7.54 |-The branch is then unsatisfiable
% 29.31/7.54 |-Branch two:
% 29.31/7.54 | (1720) ~ (all_0_256_256 = e11)
% 29.31/7.54 | (1505) all_0_257_257 = e11
% 29.31/7.54 |
% 29.31/7.54 | Equations (1505) can reduce 747 to:
% 29.31/7.54 | (537) $false
% 29.31/7.54 |
% 29.31/7.54 |-The branch is then unsatisfiable
% 29.31/7.54 |-Branch two:
% 29.31/7.54 | (694) ~ (all_0_249_249 = e11)
% 29.31/7.54 | (3536) all_0_253_253 = e11 | all_0_257_257 = e11
% 29.31/7.54 |
% 29.31/7.54 +-Applying beta-rule and splitting (259), into two cases.
% 29.31/7.54 |-Branch one:
% 29.31/7.54 | (720) all_0_246_246 = e11
% 29.31/7.54 |
% 29.31/7.54 | Equations (720) can reduce 248 to:
% 29.31/7.54 | (721) ~ (all_0_247_247 = e11)
% 29.31/7.54 |
% 29.31/7.54 | Simplifying 721 yields:
% 29.31/7.54 | (101) ~ (all_0_247_247 = e11)
% 29.31/7.54 |
% 29.31/7.54 | Equations (720) can reduce 298 to:
% 29.31/7.54 | (723) ~ (all_0_248_248 = e11)
% 29.31/7.54 |
% 29.31/7.54 | Simplifying 723 yields:
% 29.31/7.54 | (724) ~ (all_0_248_248 = e11)
% 29.31/7.54 |
% 29.31/7.54 | Equations (720) can reduce 47 to:
% 29.31/7.54 | (727) ~ (all_0_250_250 = e11)
% 29.31/7.54 |
% 29.31/7.54 | Simplifying 727 yields:
% 29.31/7.54 | (695) ~ (all_0_250_250 = e11)
% 29.31/7.54 |
% 29.31/7.54 | Equations (720) can reduce 116 to:
% 29.31/7.54 | (293) ~ (e11 = e10)
% 29.31/7.54 |
% 29.31/7.54 | From (720) and (355) follows:
% 29.31/7.54 | (730) op1(e13, e11) = all_0_202_202
% 29.31/7.54 |
% 29.31/7.54 | From (720) and (367) follows:
% 29.31/7.54 | (731) op1(e13, e13) = e11
% 29.31/7.54 |
% 29.31/7.54 | From (720) and (55) follows:
% 29.31/7.54 | (732) op1(e12, e11) = all_0_165_165
% 29.31/7.54 |
% 29.31/7.54 | From (720) and (73) follows:
% 29.31/7.54 | (5404) op1(e11, e11) = all_0_166_166
% 29.31/7.54 |
% 29.31/7.54 | From (720) and (345) follows:
% 29.31/7.54 | (733) op1(e10, e11) = all_0_167_167
% 29.31/7.54 |
% 29.31/7.54 +-Applying beta-rule and splitting (3536), into two cases.
% 29.31/7.54 |-Branch one:
% 29.31/7.54 | (693) all_0_253_253 = e11
% 29.31/7.54 |
% 29.31/7.54 | Equations (693) can reduce 2525 to:
% 29.31/7.54 | (537) $false
% 29.31/7.54 |
% 29.31/7.54 |-The branch is then unsatisfiable
% 29.31/7.54 |-Branch two:
% 29.31/7.54 | (2525) ~ (all_0_253_253 = e11)
% 29.31/7.54 | (1505) all_0_257_257 = e11
% 29.31/7.54 |
% 29.31/7.54 | Equations (1505) can reduce 61 to:
% 29.31/7.54 | (694) ~ (all_0_249_249 = e11)
% 29.31/7.54 |
% 29.31/7.54 | Equations (1505) can reduce 51 to:
% 29.31/7.54 | (2525) ~ (all_0_253_253 = e11)
% 29.31/7.54 |
% 29.31/7.54 | Equations (1505) can reduce 242 to:
% 29.31/7.54 | (744) ~ (all_0_254_254 = e11)
% 29.31/7.55 |
% 29.31/7.55 | Equations (1505) can reduce 386 to:
% 29.31/7.55 | (134) ~ (all_0_255_255 = e11)
% 29.31/7.55 |
% 29.31/7.55 | Equations (1505) can reduce 227 to:
% 29.31/7.55 | (1720) ~ (all_0_256_256 = e11)
% 29.31/7.55 |
% 29.31/7.55 | Equations (1505) can reduce 384 to:
% 29.31/7.55 | (698) ~ (e12 = e11)
% 29.31/7.55 |
% 29.31/7.55 | Simplifying 698 yields:
% 29.31/7.55 | (113) ~ (e12 = e11)
% 29.31/7.55 |
% 29.31/7.55 | From (1505) and (148) follows:
% 29.31/7.55 | (3551) op1(e11, e11) = all_0_232_232
% 29.31/7.55 |
% 29.31/7.55 | From (1505) and (331) follows:
% 29.31/7.55 | (3553) op1(e13, e11) = all_0_198_198
% 29.31/7.55 |
% 29.31/7.55 | From (1505) and (121) follows:
% 29.31/7.55 | (3554) op1(e12, e11) = all_0_199_199
% 29.31/7.55 |
% 29.31/7.55 | From (1505) and (310) follows:
% 29.31/7.55 | (3555) op1(e11, e11) = all_0_233_233
% 29.31/7.55 |
% 29.31/7.55 | From (1505) and (96) follows:
% 29.31/7.55 | (5421) op1(e10, e11) = all_0_200_200
% 29.31/7.55 |
% 29.31/7.55 | Instantiating formula (144) with e13, e11, all_0_198_198, all_0_248_248 and discharging atoms op1(e13, e11) = all_0_198_198, op1(e13, e11) = all_0_248_248, yields:
% 29.31/7.55 | (5422) all_0_198_198 = all_0_248_248
% 29.31/7.55 |
% 29.31/7.55 | Instantiating formula (144) with e13, e11, all_0_202_202, all_0_198_198 and discharging atoms op1(e13, e11) = all_0_198_198, op1(e13, e11) = all_0_202_202, yields:
% 29.31/7.55 | (5423) all_0_198_198 = all_0_202_202
% 29.31/7.55 |
% 29.31/7.55 | Instantiating formula (144) with e12, e11, all_0_165_165, e11 and discharging atoms op1(e12, e11) = all_0_165_165, op1(e12, e11) = e11, yields:
% 29.31/7.55 | (2945) all_0_165_165 = e11
% 29.31/7.55 |
% 29.31/7.55 | Instantiating formula (144) with e12, e11, all_0_199_199, all_0_165_165 and discharging atoms op1(e12, e11) = all_0_165_165, op1(e12, e11) = all_0_199_199, yields:
% 29.31/7.55 | (5425) all_0_165_165 = all_0_199_199
% 29.31/7.55 |
% 29.31/7.55 | Instantiating formula (144) with e11, e11, all_0_166_166, all_0_256_256 and discharging atoms op1(e11, e11) = all_0_166_166, op1(e11, e11) = all_0_256_256, yields:
% 29.31/7.55 | (5426) all_0_166_166 = all_0_256_256
% 29.31/7.55 |
% 29.31/7.55 | Instantiating formula (144) with e11, e11, all_0_232_232, all_0_166_166 and discharging atoms op1(e11, e11) = all_0_166_166, op1(e11, e11) = all_0_232_232, yields:
% 29.31/7.55 | (5427) all_0_166_166 = all_0_232_232
% 29.31/7.55 |
% 29.31/7.55 | Instantiating formula (144) with e11, e11, all_0_233_233, all_0_232_232 and discharging atoms op1(e11, e11) = all_0_232_232, op1(e11, e11) = all_0_233_233, yields:
% 29.31/7.55 | (3586) all_0_232_232 = all_0_233_233
% 29.31/7.55 |
% 29.31/7.55 | Instantiating formula (144) with e10, e11, all_0_167_167, e13 and discharging atoms op1(e10, e11) = all_0_167_167, op1(e10, e11) = e13, yields:
% 29.31/7.55 | (757) all_0_167_167 = e13
% 29.31/7.55 |
% 29.31/7.55 | Instantiating formula (144) with e10, e11, all_0_200_200, all_0_167_167 and discharging atoms op1(e10, e11) = all_0_167_167, op1(e10, e11) = all_0_200_200, yields:
% 29.31/7.55 | (5430) all_0_167_167 = all_0_200_200
% 29.31/7.55 |
% 29.31/7.55 | Combining equations (5425,2945) yields a new equation:
% 29.31/7.55 | (5431) all_0_199_199 = e11
% 29.31/7.55 |
% 29.31/7.55 | Simplifying 5431 yields:
% 29.31/7.55 | (884) all_0_199_199 = e11
% 29.31/7.55 |
% 29.31/7.55 | Combining equations (5427,5426) yields a new equation:
% 29.31/7.55 | (3589) all_0_232_232 = all_0_256_256
% 29.31/7.55 |
% 29.31/7.55 | Simplifying 3589 yields:
% 29.31/7.55 | (3590) all_0_232_232 = all_0_256_256
% 29.31/7.55 |
% 29.31/7.55 | Combining equations (5430,757) yields a new equation:
% 29.31/7.55 | (5435) all_0_200_200 = e13
% 29.31/7.55 |
% 29.31/7.55 | Simplifying 5435 yields:
% 29.31/7.55 | (5436) all_0_200_200 = e13
% 29.31/7.55 |
% 29.31/7.55 | Combining equations (5422,5423) yields a new equation:
% 29.31/7.55 | (762) all_0_202_202 = all_0_248_248
% 29.31/7.55 |
% 29.31/7.55 | Combining equations (3586,3590) yields a new equation:
% 29.31/7.55 | (5438) all_0_233_233 = all_0_256_256
% 29.31/7.55 |
% 29.31/7.55 | Simplifying 5438 yields:
% 29.31/7.55 | (3591) all_0_233_233 = all_0_256_256
% 29.31/7.55 |
% 29.31/7.55 | From (762) and (730) follows:
% 29.31/7.55 | (24) op1(e13, e11) = all_0_248_248
% 29.31/7.55 |
% 29.31/7.55 | From (884) and (3554) follows:
% 29.31/7.55 | (4536) op1(e12, e11) = e11
% 29.31/7.55 |
% 29.31/7.55 | From (5436) and (5421) follows:
% 29.31/7.55 | (99) op1(e10, e11) = e13
% 29.31/7.55 |
% 29.31/7.55 +-Applying beta-rule and splitting (395), into two cases.
% 29.31/7.55 |-Branch one:
% 29.31/7.55 | (734) all_0_248_248 = e11
% 29.31/7.55 |
% 29.31/7.55 | Equations (734) can reduce 724 to:
% 29.31/7.55 | (537) $false
% 29.31/7.55 |
% 29.31/7.55 |-The branch is then unsatisfiable
% 29.31/7.55 |-Branch two:
% 29.31/7.55 | (724) ~ (all_0_248_248 = e11)
% 29.31/7.55 | (917) all_0_248_248 = e12 | all_0_248_248 = e10
% 29.31/7.55 |
% 29.31/7.55 +-Applying beta-rule and splitting (335), into two cases.
% 29.31/7.55 |-Branch one:
% 29.31/7.55 | (1005) all_0_249_249 = e11
% 29.31/7.55 |
% 29.31/7.55 | Equations (1005) can reduce 694 to:
% 29.31/7.55 | (537) $false
% 29.31/7.55 |
% 29.31/7.55 |-The branch is then unsatisfiable
% 29.31/7.55 |-Branch two:
% 29.31/7.55 | (694) ~ (all_0_249_249 = e11)
% 29.31/7.55 | (1250) all_0_249_249 = e13 | all_0_249_249 = e10
% 29.31/7.55 |
% 29.31/7.55 +-Applying beta-rule and splitting (433), into two cases.
% 29.31/7.55 |-Branch one:
% 29.31/7.55 | (927) all_0_248_248 = e12
% 29.31/7.55 |
% 29.31/7.55 | Equations (927) can reduce 478 to:
% 29.31/7.55 | (2121) ~ (all_0_256_256 = e12)
% 29.31/7.55 |
% 29.31/7.55 | Simplifying 2121 yields:
% 29.31/7.55 | (2009) ~ (all_0_256_256 = e12)
% 29.31/7.55 |
% 29.31/7.55 | Equations (927) can reduce 400 to:
% 29.31/7.55 | (803) ~ (e13 = e12)
% 29.31/7.55 |
% 29.31/7.55 | Simplifying 803 yields:
% 29.31/7.55 | (305) ~ (e13 = e12)
% 29.31/7.55 |
% 29.31/7.55 | From (927) and (410) follows:
% 29.31/7.55 | (928) op1(e12, e13) = all_0_207_207
% 29.31/7.55 |
% 29.31/7.55 | From (927) and (170) follows:
% 29.31/7.55 | (1437) op1(e12, e11) = all_0_206_206
% 29.31/7.55 |
% 29.31/7.55 | From (927) and (304) follows:
% 29.31/7.55 | (5458) op1(e13, e12) = all_0_208_208
% 29.31/7.55 |
% 29.31/7.55 | From (927) and (24) follows:
% 29.31/7.55 | (1246) op1(e13, e11) = e12
% 29.31/7.55 |
% 29.31/7.55 +-Applying beta-rule and splitting (409), into two cases.
% 29.31/7.55 |-Branch one:
% 29.31/7.55 | (910) all_0_248_248 = e10
% 29.31/7.55 |
% 29.31/7.55 | Combining equations (910,927) yields a new equation:
% 29.31/7.55 | (952) e12 = e10
% 29.31/7.55 |
% 29.31/7.55 | Equations (952) can reduce 8 to:
% 29.31/7.55 | (537) $false
% 29.31/7.55 |
% 29.31/7.55 |-The branch is then unsatisfiable
% 29.31/7.55 |-Branch two:
% 29.31/7.55 | (905) ~ (all_0_248_248 = e10)
% 29.31/7.55 | (913) all_0_252_252 = e10 | all_0_256_256 = e10
% 29.31/7.55 |
% 29.31/7.55 +-Applying beta-rule and splitting (913), into two cases.
% 29.31/7.55 |-Branch one:
% 29.31/7.55 | (918) all_0_252_252 = e10
% 29.31/7.55 |
% 29.31/7.55 | Combining equations (738,918) yields a new equation:
% 29.31/7.55 | (867) e11 = e10
% 29.31/7.55 |
% 29.31/7.55 | Simplifying 867 yields:
% 29.31/7.55 | (868) e11 = e10
% 29.31/7.55 |
% 29.31/7.55 | Equations (868) can reduce 293 to:
% 29.31/7.55 | (537) $false
% 29.31/7.55 |
% 29.31/7.55 |-The branch is then unsatisfiable
% 29.31/7.55 |-Branch two:
% 29.31/7.55 | (1020) ~ (all_0_252_252 = e10)
% 29.31/7.55 | (1021) all_0_256_256 = e10
% 29.31/7.55 |
% 29.31/7.55 | Combining equations (1021,3591) yields a new equation:
% 29.31/7.55 | (3879) all_0_233_233 = e10
% 29.31/7.55 |
% 29.31/7.55 | Equations (1021) can reduce 211 to:
% 29.31/7.55 | (142) ~ (all_0_254_254 = e10)
% 29.31/7.55 |
% 29.31/7.55 | Equations (1021) can reduce 312 to:
% 29.31/7.55 | (1498) ~ (all_0_255_255 = e10)
% 29.31/7.55 |
% 29.31/7.55 | Equations (1021) can reduce 2009 to:
% 29.31/7.55 | (874) ~ (e12 = e10)
% 29.31/7.55 |
% 29.31/7.55 | Simplifying 874 yields:
% 29.31/7.55 | (8) ~ (e12 = e10)
% 29.31/7.55 |
% 29.31/7.55 | Instantiating formula (144) with e13, e12, all_0_208_208, all_0_247_247 and discharging atoms op1(e13, e12) = all_0_208_208, op1(e13, e12) = all_0_247_247, yields:
% 29.31/7.55 | (5476) all_0_208_208 = all_0_247_247
% 29.31/7.55 |
% 29.31/7.55 | Instantiating formula (144) with e12, e13, all_0_207_207, all_0_250_250 and discharging atoms op1(e12, e13) = all_0_207_207, op1(e12, e13) = all_0_250_250, yields:
% 29.31/7.55 | (5477) all_0_207_207 = all_0_250_250
% 29.31/7.55 |
% 29.31/7.55 | Instantiating formula (144) with e12, e11, all_0_206_206, e11 and discharging atoms op1(e12, e11) = all_0_206_206, op1(e12, e11) = e11, yields:
% 29.31/7.55 | (5478) all_0_206_206 = e11
% 29.31/7.55 |
% 29.31/7.55 | From (5476) and (5458) follows:
% 29.31/7.56 | (62) op1(e13, e12) = all_0_247_247
% 29.31/7.56 |
% 29.31/7.56 | From (5478) and (1437) follows:
% 29.31/7.56 | (4536) op1(e12, e11) = e11
% 29.31/7.56 |
% 29.31/7.56 +-Applying beta-rule and splitting (329), into two cases.
% 29.31/7.56 |-Branch one:
% 29.31/7.56 | (798) all_0_254_254 = e12
% 29.31/7.56 |
% 29.31/7.56 | Equations (798) can reduce 378 to:
% 29.31/7.56 | (1156) ~ (all_0_250_250 = e12)
% 29.31/7.56 |
% 29.31/7.56 | Equations (798) can reduce 12 to:
% 29.31/7.56 | (799) ~ (all_0_255_255 = e12)
% 29.31/7.56 |
% 29.31/7.56 | Simplifying 799 yields:
% 29.31/7.56 | (800) ~ (all_0_255_255 = e12)
% 29.31/7.56 |
% 29.31/7.56 | Equations (798) can reduce 744 to:
% 29.31/7.56 | (113) ~ (e12 = e11)
% 29.31/7.56 |
% 29.31/7.56 | Equations (798) can reduce 142 to:
% 29.31/7.56 | (8) ~ (e12 = e10)
% 29.31/7.56 |
% 29.31/7.56 | From (798) and (301) follows:
% 29.31/7.56 | (807) op1(e12, e11) = all_0_224_224
% 29.31/7.56 |
% 29.31/7.56 | From (798) and (241) follows:
% 29.31/7.56 | (810) op1(e11, e13) = e12
% 29.31/7.56 |
% 29.31/7.56 +-Applying beta-rule and splitting (476), into two cases.
% 29.31/7.56 |-Branch one:
% 29.31/7.56 | (1152) all_0_250_250 = e12
% 29.31/7.56 |
% 29.31/7.56 | Equations (1152) can reduce 1156 to:
% 29.31/7.56 | (537) $false
% 29.31/7.56 |
% 29.31/7.56 |-The branch is then unsatisfiable
% 29.31/7.56 |-Branch two:
% 29.31/7.56 | (1156) ~ (all_0_250_250 = e12)
% 29.31/7.56 | (1157) all_0_251_251 = e12 | all_0_252_252 = e12
% 29.31/7.56 |
% 29.31/7.56 +-Applying beta-rule and splitting (349), into two cases.
% 29.31/7.56 |-Branch one:
% 29.31/7.56 | (716) all_0_250_250 = e11
% 29.31/7.56 |
% 29.31/7.56 | Equations (716) can reduce 695 to:
% 29.31/7.56 | (537) $false
% 29.31/7.56 |
% 29.31/7.56 |-The branch is then unsatisfiable
% 29.31/7.56 |-Branch two:
% 29.31/7.56 | (695) ~ (all_0_250_250 = e11)
% 29.31/7.56 | (719) all_0_250_250 = e13 | all_0_250_250 = e12
% 29.31/7.56 |
% 29.31/7.56 +-Applying beta-rule and splitting (237), into two cases.
% 29.31/7.56 |-Branch one:
% 29.31/7.56 | (839) all_0_255_255 = e13
% 29.31/7.56 |
% 29.31/7.56 | Combining equations (839,4542) yields a new equation:
% 29.31/7.56 | (3036) all_0_218_218 = e13
% 29.31/7.56 |
% 29.31/7.56 | Equations (839) can reduce 240 to:
% 29.31/7.56 | (1405) ~ (all_0_247_247 = e13)
% 29.31/7.56 |
% 29.31/7.56 | From (839) and (166) follows:
% 29.31/7.56 | (848) op1(e11, e13) = all_0_228_228
% 29.31/7.56 |
% 29.31/7.56 +-Applying beta-rule and splitting (719), into two cases.
% 29.31/7.56 |-Branch one:
% 29.31/7.56 | (776) all_0_250_250 = e13
% 29.31/7.56 |
% 29.31/7.56 | Combining equations (776,5477) yields a new equation:
% 29.31/7.56 | (935) all_0_207_207 = e13
% 29.31/7.56 |
% 29.31/7.56 | Equations (776) can reduce 334 to:
% 29.31/7.56 | (210) ~ (e13 = e10)
% 29.31/7.56 |
% 29.31/7.56 | From (776) and (120) follows:
% 29.31/7.56 | (784) op1(e13, e13) = all_0_212_212
% 29.31/7.56 |
% 29.31/7.56 | From (776) and (103) follows:
% 29.31/7.56 | (785) op1(e13, e12) = all_0_213_213
% 29.31/7.56 |
% 29.31/7.56 +-Applying beta-rule and splitting (124), into two cases.
% 29.31/7.56 |-Branch one:
% 29.31/7.56 | (850) all_0_249_249 = e13
% 29.31/7.56 |
% 29.31/7.56 | Equations (850) can reduce 457 to:
% 29.31/7.56 | (1405) ~ (all_0_247_247 = e13)
% 29.31/7.56 |
% 29.31/7.56 | Equations (850) can reduce 474 to:
% 29.31/7.56 | (3037) ~ (all_0_253_253 = e13)
% 29.31/7.56 |
% 29.31/7.56 | Simplifying 3037 yields:
% 29.31/7.56 | (1186) ~ (all_0_253_253 = e13)
% 29.31/7.56 |
% 29.31/7.56 | Equations (850) can reduce 694 to:
% 29.31/7.56 | (446) ~ (e13 = e11)
% 29.31/7.56 |
% 29.31/7.56 | From (850) and (375) follows:
% 29.31/7.56 | (856) op1(e13, e13) = all_0_210_210
% 29.31/7.56 |
% 29.31/7.56 | From (850) and (209) follows:
% 29.31/7.56 | (857) op1(e13, e13) = all_0_211_211
% 29.31/7.56 |
% 29.31/7.56 +-Applying beta-rule and splitting (398), into two cases.
% 29.31/7.56 |-Branch one:
% 29.31/7.56 | (902) all_0_247_247 = e10
% 29.31/7.56 |
% 29.31/7.56 | Equations (902) can reduce 1405 to:
% 29.31/7.56 | (872) ~ (e13 = e10)
% 29.31/7.56 |
% 29.31/7.56 | Simplifying 872 yields:
% 29.31/7.56 | (210) ~ (e13 = e10)
% 29.31/7.56 |
% 29.31/7.56 | Equations (902) can reduce 101 to:
% 29.31/7.56 | (906) ~ (e11 = e10)
% 29.31/7.56 |
% 29.31/7.56 | Simplifying 906 yields:
% 29.31/7.56 | (293) ~ (e11 = e10)
% 29.31/7.56 |
% 29.31/7.56 | From (902) and (289) follows:
% 29.31/7.56 | (908) op1(e10, e13) = all_0_204_204
% 29.31/7.56 |
% 29.31/7.56 | From (902) and (230) follows:
% 29.42/7.56 | (4268) op1(e10, e12) = all_0_203_203
% 29.42/7.56 |
% 29.42/7.56 | From (902) and (62) follows:
% 29.42/7.56 | (1808) op1(e13, e12) = e10
% 29.42/7.56 |
% 29.42/7.56 +-Applying beta-rule and splitting (45), into two cases.
% 29.42/7.56 |-Branch one:
% 29.42/7.56 | (861) all_0_249_249 = e10
% 29.42/7.56 |
% 29.42/7.56 | Combining equations (850,861) yields a new equation:
% 29.42/7.56 | (983) e13 = e10
% 29.42/7.56 |
% 29.42/7.56 | Simplifying 983 yields:
% 29.42/7.56 | (862) e13 = e10
% 29.42/7.56 |
% 29.42/7.56 | Equations (862) can reduce 210 to:
% 29.42/7.56 | (537) $false
% 29.42/7.56 |
% 29.42/7.56 |-The branch is then unsatisfiable
% 29.42/7.56 |-Branch two:
% 29.42/7.56 | (864) ~ (all_0_249_249 = e10)
% 29.42/7.56 | (865) all_0_253_253 = e10 | all_0_257_257 = e10
% 29.42/7.56 |
% 29.42/7.56 +-Applying beta-rule and splitting (865), into two cases.
% 29.42/7.56 |-Branch one:
% 29.42/7.56 | (866) all_0_253_253 = e10
% 29.42/7.56 |
% 29.42/7.56 | Equations (866) can reduce 23 to:
% 29.42/7.56 | (921) ~ (all_0_251_251 = e10)
% 29.42/7.56 |
% 29.42/7.56 | Equations (866) can reduce 1186 to:
% 29.42/7.56 | (872) ~ (e13 = e10)
% 29.42/7.56 |
% 29.42/7.56 | Simplifying 872 yields:
% 29.42/7.56 | (210) ~ (e13 = e10)
% 29.42/7.56 |
% 29.42/7.56 | Equations (866) can reduce 2525 to:
% 29.42/7.56 | (906) ~ (e11 = e10)
% 29.42/7.56 |
% 29.42/7.56 | Simplifying 906 yields:
% 29.42/7.56 | (293) ~ (e11 = e10)
% 29.42/7.56 |
% 29.42/7.56 | From (866) and (366) follows:
% 29.42/7.56 | (3049) op1(e10, e12) = all_0_221_221
% 29.42/7.56 |
% 29.42/7.56 +-Applying beta-rule and splitting (1157), into two cases.
% 29.42/7.56 |-Branch one:
% 29.42/7.56 | (933) all_0_251_251 = e12
% 29.42/7.56 |
% 29.42/7.56 | Equations (933) can reduce 921 to:
% 29.42/7.56 | (8) ~ (e12 = e10)
% 29.42/7.56 |
% 29.42/7.56 | Instantiating formula (144) with e13, e13, all_0_210_210, e11 and discharging atoms op1(e13, e13) = all_0_210_210, op1(e13, e13) = e11, yields:
% 29.42/7.56 | (878) all_0_210_210 = e11
% 29.42/7.56 |
% 29.42/7.56 | Instantiating formula (144) with e13, e13, all_0_211_211, all_0_210_210 and discharging atoms op1(e13, e13) = all_0_210_210, op1(e13, e13) = all_0_211_211, yields:
% 29.42/7.56 | (896) all_0_210_210 = all_0_211_211
% 29.42/7.56 |
% 29.42/7.56 | Instantiating formula (144) with e13, e13, all_0_212_212, all_0_210_210 and discharging atoms op1(e13, e13) = all_0_210_210, op1(e13, e13) = all_0_212_212, yields:
% 29.42/7.56 | (1881) all_0_210_210 = all_0_212_212
% 29.42/7.56 |
% 29.42/7.56 | Instantiating formula (144) with e13, e12, e10, all_0_213_213 and discharging atoms op1(e13, e12) = all_0_213_213, op1(e13, e12) = e10, yields:
% 29.42/7.56 | (903) all_0_213_213 = e10
% 29.42/7.56 |
% 29.42/7.56 | Instantiating formula (144) with e12, e11, all_0_224_224, e11 and discharging atoms op1(e12, e11) = all_0_224_224, op1(e12, e11) = e11, yields:
% 29.42/7.56 | (4143) all_0_224_224 = e11
% 29.42/7.56 |
% 29.42/7.56 | Instantiating formula (144) with e11, e13, e12, all_0_228_228 and discharging atoms op1(e11, e13) = all_0_228_228, op1(e11, e13) = e12, yields:
% 29.42/7.56 | (893) all_0_228_228 = e12
% 29.42/7.56 |
% 29.42/7.56 | Instantiating formula (144) with e10, e13, all_0_204_204, e10 and discharging atoms op1(e10, e13) = all_0_204_204, op1(e10, e13) = e10, yields:
% 29.42/7.56 | (938) all_0_204_204 = e10
% 29.42/7.56 |
% 29.42/7.56 | Instantiating formula (144) with e10, e12, all_0_203_203, e11 and discharging atoms op1(e10, e12) = all_0_203_203, op1(e10, e12) = e11, yields:
% 29.42/7.56 | (4364) all_0_203_203 = e11
% 29.42/7.56 |
% 29.42/7.56 | Instantiating formula (144) with e10, e12, all_0_221_221, all_0_203_203 and discharging atoms op1(e10, e12) = all_0_203_203, op1(e10, e12) = all_0_221_221, yields:
% 29.42/7.56 | (2788) all_0_203_203 = all_0_221_221
% 29.42/7.56 |
% 29.42/7.56 | Combining equations (4364,2788) yields a new equation:
% 29.42/7.56 | (3067) all_0_221_221 = e11
% 29.42/7.56 |
% 29.42/7.56 | Combining equations (1881,896) yields a new equation:
% 29.42/7.56 | (1885) all_0_211_211 = all_0_212_212
% 29.42/7.56 |
% 29.42/7.56 | Combining equations (878,896) yields a new equation:
% 29.42/7.56 | (897) all_0_211_211 = e11
% 29.42/7.56 |
% 29.42/7.56 | Combining equations (897,1885) yields a new equation:
% 29.42/7.56 | (822) all_0_212_212 = e11
% 29.42/7.56 |
% 29.42/7.56 | Combining equations (822,1885) yields a new equation:
% 29.42/7.56 | (897) all_0_211_211 = e11
% 29.42/7.56 |
% 29.42/7.56 | Combining equations (897,896) yields a new equation:
% 29.42/7.56 | (878) all_0_210_210 = e11
% 29.42/7.56 |
% 29.42/7.56 +-Applying beta-rule and splitting (257), into two cases.
% 29.42/7.56 |-Branch one:
% 29.42/7.56 | (940) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)) | (all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10))
% 29.42/7.56 |
% 29.42/7.56 +-Applying beta-rule and splitting (940), into two cases.
% 29.42/7.56 |-Branch one:
% 29.42/7.56 | (941) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12))
% 29.42/7.56 |
% 29.42/7.56 +-Applying beta-rule and splitting (941), into two cases.
% 29.42/7.56 |-Branch one:
% 29.42/7.56 | (942) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13))
% 29.42/7.56 |
% 29.42/7.56 +-Applying beta-rule and splitting (942), into two cases.
% 29.42/7.56 |-Branch one:
% 29.42/7.56 | (943) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10))
% 29.42/7.56 |
% 29.42/7.56 +-Applying beta-rule and splitting (943), into two cases.
% 29.42/7.56 |-Branch one:
% 29.42/7.56 | (944) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11))
% 29.42/7.56 |
% 29.42/7.56 +-Applying beta-rule and splitting (944), into two cases.
% 29.42/7.56 |-Branch one:
% 29.42/7.56 | (945) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13))
% 29.42/7.56 |
% 29.42/7.56 +-Applying beta-rule and splitting (945), into two cases.
% 29.42/7.56 |-Branch one:
% 29.42/7.56 | (946) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10))
% 29.42/7.56 |
% 29.42/7.57 +-Applying beta-rule and splitting (946), into two cases.
% 29.42/7.57 |-Branch one:
% 29.42/7.57 | (947) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11))
% 29.42/7.57 |
% 29.42/7.57 +-Applying beta-rule and splitting (947), into two cases.
% 29.42/7.57 |-Branch one:
% 29.42/7.57 | (948) all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)
% 29.42/7.57 |
% 29.42/7.57 | Applying alpha-rule on (948) yields:
% 29.42/7.57 | (949) all_0_204_204 = e12
% 29.42/7.57 | (950) ~ (all_0_203_203 = e13)
% 29.42/7.57 | (951) ~ (all_0_205_205 = e12)
% 29.42/7.57 |
% 29.42/7.57 | Combining equations (949,938) yields a new equation:
% 29.42/7.57 | (1159) e12 = e10
% 29.42/7.57 |
% 29.42/7.57 | Simplifying 1159 yields:
% 29.42/7.57 | (952) e12 = e10
% 29.42/7.57 |
% 29.42/7.57 | Equations (952) can reduce 8 to:
% 29.42/7.57 | (537) $false
% 29.42/7.57 |
% 29.42/7.57 |-The branch is then unsatisfiable
% 29.42/7.57 |-Branch two:
% 29.42/7.57 | (954) all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)
% 29.42/7.57 |
% 29.42/7.57 | Applying alpha-rule on (954) yields:
% 29.42/7.57 | (955) all_0_207_207 = e11
% 29.42/7.57 | (956) ~ (all_0_206_206 = e13)
% 29.42/7.57 | (957) ~ (all_0_208_208 = e11)
% 29.42/7.57 |
% 29.42/7.57 | Combining equations (955,935) yields a new equation:
% 29.42/7.57 | (959) e13 = e11
% 29.42/7.57 |
% 29.42/7.57 | Equations (959) can reduce 446 to:
% 29.42/7.57 | (537) $false
% 29.42/7.57 |
% 29.42/7.57 |-The branch is then unsatisfiable
% 29.42/7.57 |-Branch two:
% 29.42/7.57 | (961) all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)
% 29.42/7.57 |
% 29.42/7.57 | Applying alpha-rule on (961) yields:
% 29.42/7.57 | (962) all_0_210_210 = e10
% 29.42/7.57 | (963) ~ (all_0_209_209 = e13)
% 29.42/7.57 | (964) ~ (all_0_211_211 = e10)
% 29.42/7.57 |
% 29.42/7.57 | Combining equations (962,878) yields a new equation:
% 29.42/7.57 | (868) e11 = e10
% 29.42/7.57 |
% 29.42/7.57 | Equations (868) can reduce 293 to:
% 29.42/7.57 | (537) $false
% 29.42/7.57 |
% 29.42/7.57 |-The branch is then unsatisfiable
% 29.42/7.57 |-Branch two:
% 29.42/7.57 | (968) all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)
% 29.42/7.57 |
% 29.42/7.57 | Applying alpha-rule on (968) yields:
% 29.42/7.57 | (969) all_0_213_213 = e13
% 29.42/7.57 | (970) ~ (all_0_212_212 = e12)
% 29.42/7.57 | (971) ~ (all_0_214_214 = e13)
% 29.42/7.57 |
% 29.42/7.57 | Combining equations (903,969) yields a new equation:
% 29.42/7.57 | (862) e13 = e10
% 29.42/7.57 |
% 29.42/7.57 | Equations (862) can reduce 210 to:
% 29.42/7.57 | (537) $false
% 29.42/7.57 |
% 29.42/7.57 |-The branch is then unsatisfiable
% 29.42/7.57 |-Branch two:
% 29.42/7.57 | (974) all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)
% 29.42/7.57 |
% 29.42/7.57 | Applying alpha-rule on (974) yields:
% 29.42/7.57 | (975) all_0_218_218 = e11
% 29.42/7.57 | (976) ~ (all_0_217_217 = e12)
% 29.42/7.57 | (977) ~ (all_0_219_219 = e11)
% 29.42/7.57 |
% 29.42/7.57 | Combining equations (3036,975) yields a new equation:
% 29.42/7.57 | (958) e13 = e11
% 29.42/7.57 |
% 29.42/7.57 | Simplifying 958 yields:
% 29.42/7.57 | (959) e13 = e11
% 29.42/7.57 |
% 29.42/7.57 | Equations (959) can reduce 446 to:
% 29.42/7.57 | (537) $false
% 29.42/7.57 |
% 29.42/7.57 |-The branch is then unsatisfiable
% 29.42/7.57 |-Branch two:
% 29.42/7.57 | (979) all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)
% 29.42/7.57 |
% 29.42/7.57 | Applying alpha-rule on (979) yields:
% 29.42/7.57 | (980) all_0_221_221 = e10
% 29.42/7.57 | (981) ~ (all_0_220_220 = e12)
% 29.42/7.57 | (982) ~ (all_0_222_222 = e10)
% 29.42/7.57 |
% 29.42/7.57 | Combining equations (980,3067) yields a new equation:
% 29.42/7.57 | (868) e11 = e10
% 29.42/7.57 |
% 29.42/7.57 | Equations (868) can reduce 293 to:
% 29.42/7.57 | (537) $false
% 29.42/7.57 |
% 29.42/7.57 |-The branch is then unsatisfiable
% 29.42/7.57 |-Branch two:
% 29.42/7.57 | (986) all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)
% 29.42/7.57 |
% 29.42/7.57 | Applying alpha-rule on (986) yields:
% 29.42/7.57 | (987) all_0_224_224 = e13
% 29.42/7.57 | (988) ~ (all_0_223_223 = e11)
% 29.42/7.57 | (989) ~ (all_0_225_225 = e13)
% 29.42/7.57 |
% 29.42/7.57 | Combining equations (4143,987) yields a new equation:
% 29.42/7.57 | (959) e13 = e11
% 29.42/7.57 |
% 29.42/7.57 | Equations (959) can reduce 446 to:
% 29.42/7.57 | (537) $false
% 29.42/7.57 |
% 29.42/7.57 |-The branch is then unsatisfiable
% 29.42/7.57 |-Branch two:
% 29.42/7.57 | (992) all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)
% 29.42/7.57 |
% 29.42/7.57 | Applying alpha-rule on (992) yields:
% 29.42/7.57 | (993) all_0_227_227 = e12
% 29.42/7.57 | (994) ~ (all_0_226_226 = e11)
% 29.42/7.57 | (995) ~ (all_0_228_228 = e12)
% 29.42/7.57 |
% 29.42/7.57 | Equations (893) can reduce 995 to:
% 29.42/7.57 | (537) $false
% 29.42/7.57 |
% 29.42/7.57 |-The branch is then unsatisfiable
% 29.42/7.57 |-Branch two:
% 29.42/7.57 | (997) all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10)
% 29.42/7.57 |
% 29.42/7.57 | Applying alpha-rule on (997) yields:
% 29.42/7.57 | (998) all_0_232_232 = e10
% 29.42/7.57 | (999) ~ (all_0_231_231 = e11)
% 29.42/7.57 | (1000) ~ (all_0_233_233 = e10)
% 29.42/7.57 |
% 29.42/7.57 | Equations (3879) can reduce 1000 to:
% 29.42/7.57 | (537) $false
% 29.42/7.57 |
% 29.42/7.57 |-The branch is then unsatisfiable
% 29.42/7.57 |-Branch two:
% 29.42/7.57 | (1004) all_0_249_249 = e11 & ~ (all_0_248_248 = e10)
% 29.42/7.57 |
% 29.42/7.57 | Applying alpha-rule on (1004) yields:
% 29.42/7.57 | (1005) all_0_249_249 = e11
% 29.42/7.57 | (905) ~ (all_0_248_248 = e10)
% 29.42/7.57 |
% 29.42/7.57 | Combining equations (1005,850) yields a new equation:
% 29.42/7.57 | (959) e13 = e11
% 29.42/7.57 |
% 29.42/7.57 | Equations (959) can reduce 446 to:
% 29.42/7.57 | (537) $false
% 29.42/7.57 |
% 29.42/7.57 |-The branch is then unsatisfiable
% 29.42/7.57 |-Branch two:
% 29.42/7.57 | (1010) ~ (all_0_251_251 = e12)
% 29.42/7.57 | (1056) all_0_252_252 = e12
% 29.42/7.57 |
% 29.42/7.57 | Combining equations (1056,738) yields a new equation:
% 29.42/7.57 | (771) e12 = e11
% 29.42/7.57 |
% 29.42/7.57 | Simplifying 771 yields:
% 29.42/7.57 | (772) e12 = e11
% 29.42/7.57 |
% 29.42/7.57 | Equations (772) can reduce 113 to:
% 29.42/7.57 | (537) $false
% 29.42/7.57 |
% 29.42/7.57 |-The branch is then unsatisfiable
% 29.42/7.57 |-Branch two:
% 29.42/7.57 | (870) ~ (all_0_253_253 = e10)
% 29.42/7.57 | (871) all_0_257_257 = e10
% 29.42/7.57 |
% 29.42/7.57 | Combining equations (871,1505) yields a new equation:
% 29.42/7.57 | (868) e11 = e10
% 29.42/7.57 |
% 29.42/7.57 | Equations (868) can reduce 293 to:
% 29.42/7.57 | (537) $false
% 29.42/7.57 |
% 29.42/7.57 |-The branch is then unsatisfiable
% 29.42/7.57 |-Branch two:
% 29.42/7.57 | (1025) ~ (all_0_247_247 = e10)
% 29.42/7.57 | (1030) all_0_248_248 = e10 | all_0_249_249 = e10
% 29.42/7.57 |
% 29.42/7.57 +-Applying beta-rule and splitting (45), into two cases.
% 29.42/7.57 |-Branch one:
% 29.42/7.57 | (861) all_0_249_249 = e10
% 29.42/7.57 |
% 29.42/7.57 | Combining equations (850,861) yields a new equation:
% 29.42/7.57 | (983) e13 = e10
% 29.42/7.57 |
% 29.42/7.57 | Simplifying 983 yields:
% 29.42/7.57 | (862) e13 = e10
% 29.42/7.57 |
% 29.42/7.57 | Equations (862) can reduce 210 to:
% 29.42/7.57 | (537) $false
% 29.42/7.57 |
% 29.42/7.57 |-The branch is then unsatisfiable
% 29.42/7.57 |-Branch two:
% 29.42/7.57 | (864) ~ (all_0_249_249 = e10)
% 29.42/7.57 | (865) all_0_253_253 = e10 | all_0_257_257 = e10
% 29.42/7.57 |
% 29.42/7.57 | Equations (850) can reduce 864 to:
% 29.42/7.57 | (210) ~ (e13 = e10)
% 29.42/7.57 |
% 29.42/7.57 +-Applying beta-rule and splitting (1030), into two cases.
% 29.42/7.57 |-Branch one:
% 29.42/7.57 | (910) all_0_248_248 = e10
% 29.42/7.57 |
% 29.42/7.57 | Combining equations (927,910) yields a new equation:
% 29.42/7.57 | (1159) e12 = e10
% 29.42/7.57 |
% 29.42/7.57 | Simplifying 1159 yields:
% 29.42/7.57 | (952) e12 = e10
% 29.42/7.57 |
% 29.42/7.57 | Equations (952) can reduce 8 to:
% 29.42/7.57 | (537) $false
% 29.42/7.57 |
% 29.42/7.57 |-The branch is then unsatisfiable
% 29.42/7.57 |-Branch two:
% 29.42/7.57 | (905) ~ (all_0_248_248 = e10)
% 29.42/7.57 | (861) all_0_249_249 = e10
% 29.42/7.57 |
% 29.42/7.57 | Combining equations (850,861) yields a new equation:
% 29.42/7.57 | (983) e13 = e10
% 29.42/7.57 |
% 29.42/7.57 | Simplifying 983 yields:
% 29.42/7.57 | (862) e13 = e10
% 29.42/7.57 |
% 29.42/7.57 | Equations (862) can reduce 210 to:
% 29.42/7.57 | (537) $false
% 29.42/7.57 |
% 29.42/7.57 |-The branch is then unsatisfiable
% 29.42/7.57 |-Branch two:
% 29.42/7.57 | (1181) ~ (all_0_249_249 = e13)
% 29.42/7.57 | (1182) all_0_253_253 = e13 | all_0_257_257 = e13
% 29.42/7.57 |
% 29.42/7.57 +-Applying beta-rule and splitting (286), into two cases.
% 29.42/7.57 |-Branch one:
% 29.42/7.57 | (1191) all_0_247_247 = e13
% 29.42/7.57 |
% 29.42/7.57 | Equations (1191) can reduce 1405 to:
% 29.42/7.57 | (537) $false
% 29.42/7.57 |
% 29.42/7.57 |-The branch is then unsatisfiable
% 29.42/7.57 |-Branch two:
% 29.42/7.57 | (1405) ~ (all_0_247_247 = e13)
% 29.42/7.57 | (1454) all_0_247_247 = e12 | all_0_247_247 = e10
% 29.42/7.57 |
% 29.42/7.57 +-Applying beta-rule and splitting (1250), into two cases.
% 29.42/7.57 |-Branch one:
% 29.42/7.57 | (850) all_0_249_249 = e13
% 29.42/7.57 |
% 29.42/7.57 | Equations (850) can reduce 1181 to:
% 29.42/7.57 | (537) $false
% 29.42/7.57 |
% 29.42/7.57 |-The branch is then unsatisfiable
% 29.42/7.57 |-Branch two:
% 29.42/7.57 | (1181) ~ (all_0_249_249 = e13)
% 29.42/7.57 | (861) all_0_249_249 = e10
% 29.42/7.57 |
% 29.42/7.57 | Equations (861) can reduce 457 to:
% 29.42/7.57 | (1025) ~ (all_0_247_247 = e10)
% 29.42/7.57 |
% 29.42/7.57 +-Applying beta-rule and splitting (1157), into two cases.
% 29.42/7.57 |-Branch one:
% 29.42/7.57 | (933) all_0_251_251 = e12
% 29.42/7.57 |
% 29.42/7.57 | Equations (933) can reduce 296 to:
% 29.42/7.57 | (1150) ~ (all_0_247_247 = e12)
% 29.42/7.57 |
% 29.42/7.57 +-Applying beta-rule and splitting (454), into two cases.
% 29.42/7.57 |-Branch one:
% 29.42/7.57 | (902) all_0_247_247 = e10
% 29.42/7.57 |
% 29.42/7.57 | Equations (902) can reduce 1025 to:
% 29.42/7.57 | (537) $false
% 29.42/7.57 |
% 29.42/7.57 |-The branch is then unsatisfiable
% 29.42/7.57 |-Branch two:
% 29.42/7.57 | (1025) ~ (all_0_247_247 = e10)
% 29.42/7.57 | (1026) all_0_251_251 = e10 | all_0_255_255 = e10
% 29.42/7.57 |
% 29.42/7.57 +-Applying beta-rule and splitting (1454), into two cases.
% 29.42/7.57 |-Branch one:
% 29.42/7.57 | (1051) all_0_247_247 = e12
% 29.42/7.57 |
% 29.42/7.57 | Equations (1051) can reduce 1150 to:
% 29.42/7.57 | (537) $false
% 29.42/7.57 |
% 29.42/7.57 |-The branch is then unsatisfiable
% 29.42/7.57 |-Branch two:
% 29.42/7.57 | (1150) ~ (all_0_247_247 = e12)
% 29.42/7.57 | (902) all_0_247_247 = e10
% 29.42/7.57 |
% 29.42/7.57 | Equations (902) can reduce 1025 to:
% 29.42/7.57 | (537) $false
% 29.42/7.57 |
% 29.42/7.57 |-The branch is then unsatisfiable
% 29.42/7.57 |-Branch two:
% 29.42/7.57 | (1010) ~ (all_0_251_251 = e12)
% 29.42/7.57 | (1056) all_0_252_252 = e12
% 29.42/7.57 |
% 29.42/7.57 | Combining equations (738,1056) yields a new equation:
% 29.42/7.57 | (772) e12 = e11
% 29.42/7.57 |
% 29.42/7.57 | Equations (772) can reduce 113 to:
% 29.42/7.57 | (537) $false
% 29.42/7.57 |
% 29.42/7.57 |-The branch is then unsatisfiable
% 29.42/7.57 |-Branch two:
% 29.42/7.57 | (1417) ~ (all_0_250_250 = e13)
% 29.42/7.57 | (1152) all_0_250_250 = e12
% 29.42/7.57 |
% 29.42/7.57 | Equations (1152) can reduce 1156 to:
% 29.42/7.57 | (537) $false
% 29.42/7.57 |
% 29.42/7.57 |-The branch is then unsatisfiable
% 29.42/7.57 |-Branch two:
% 29.42/7.57 | (1189) ~ (all_0_255_255 = e13)
% 29.42/7.57 | (1190) all_0_255_255 = e12 | all_0_255_255 = e10
% 29.42/7.57 |
% 29.42/7.57 +-Applying beta-rule and splitting (1190), into two cases.
% 29.42/7.57 |-Branch one:
% 29.42/7.57 | (1403) all_0_255_255 = e12
% 29.42/7.57 |
% 29.42/7.57 | Equations (1403) can reduce 800 to:
% 29.42/7.57 | (537) $false
% 29.42/7.57 |
% 29.42/7.57 |-The branch is then unsatisfiable
% 29.42/7.57 |-Branch two:
% 29.42/7.57 | (800) ~ (all_0_255_255 = e12)
% 29.42/7.57 | (1178) all_0_255_255 = e10
% 29.42/7.57 |
% 29.42/7.57 | Equations (1178) can reduce 1498 to:
% 29.42/7.57 | (537) $false
% 29.42/7.57 |
% 29.42/7.57 |-The branch is then unsatisfiable
% 29.42/7.57 |-Branch two:
% 29.42/7.57 | (1426) ~ (all_0_254_254 = e12)
% 29.42/7.57 | (1443) all_0_255_255 = e12 | all_0_256_256 = e12
% 29.42/7.57 |
% 29.42/7.57 +-Applying beta-rule and splitting (1443), into two cases.
% 29.42/7.57 |-Branch one:
% 29.42/7.57 | (1403) all_0_255_255 = e12
% 29.42/7.57 |
% 29.42/7.57 | Combining equations (1403,4542) yields a new equation:
% 29.42/7.57 | (5684) all_0_218_218 = e12
% 29.42/7.57 |
% 29.42/7.57 | Equations (1403) can reduce 240 to:
% 29.42/7.57 | (1150) ~ (all_0_247_247 = e12)
% 29.42/7.57 |
% 29.42/7.57 | Equations (1403) can reduce 481 to:
% 29.42/7.57 | (1010) ~ (all_0_251_251 = e12)
% 29.42/7.57 |
% 29.42/7.57 | Equations (1403) can reduce 134 to:
% 29.42/7.57 | (113) ~ (e12 = e11)
% 29.42/7.57 |
% 29.42/7.57 | From (1403) and (437) follows:
% 29.42/7.57 | (1478) op1(e12, e12) = all_0_226_226
% 29.42/7.57 |
% 29.42/7.57 | From (1403) and (299) follows:
% 29.42/7.57 | (1479) op1(e12, e11) = all_0_227_227
% 29.42/7.57 |
% 29.42/7.57 +-Applying beta-rule and splitting (77), into two cases.
% 29.42/7.57 |-Branch one:
% 29.42/7.58 | (791) all_0_254_254 = e11
% 29.42/7.58 |
% 29.42/7.58 | Equations (791) can reduce 744 to:
% 29.42/7.58 | (537) $false
% 29.42/7.58 |
% 29.42/7.58 |-The branch is then unsatisfiable
% 29.42/7.58 |-Branch two:
% 29.42/7.58 | (744) ~ (all_0_254_254 = e11)
% 29.42/7.58 | (794) all_0_254_254 = e13 | all_0_254_254 = e12
% 29.42/7.58 |
% 29.42/7.58 +-Applying beta-rule and splitting (251), into two cases.
% 29.42/7.58 |-Branch one:
% 29.42/7.58 | (795) all_0_254_254 = e13
% 29.42/7.58 |
% 29.42/7.58 | Equations (795) can reduce 744 to:
% 29.42/7.58 | (446) ~ (e13 = e11)
% 29.42/7.58 |
% 29.42/7.58 | From (795) and (450) follows:
% 29.42/7.58 | (2685) op1(e13, e13) = all_0_223_223
% 29.42/7.58 |
% 29.42/7.58 | From (795) and (301) follows:
% 29.42/7.58 | (1514) op1(e13, e11) = all_0_224_224
% 29.42/7.58 |
% 29.42/7.58 +-Applying beta-rule and splitting (476), into two cases.
% 29.42/7.58 |-Branch one:
% 29.42/7.58 | (1152) all_0_250_250 = e12
% 29.42/7.58 |
% 29.42/7.58 | Combining equations (1152,5477) yields a new equation:
% 29.42/7.58 | (1587) all_0_207_207 = e12
% 29.42/7.58 |
% 29.42/7.58 | Equations (1152) can reduce 224 to:
% 29.42/7.58 | (4665) ~ (all_0_251_251 = e12)
% 29.42/7.58 |
% 29.42/7.58 | Simplifying 4665 yields:
% 29.42/7.58 | (1010) ~ (all_0_251_251 = e12)
% 29.42/7.58 |
% 29.42/7.58 | Equations (1152) can reduce 111 to:
% 29.42/7.58 | (2658) ~ (all_0_253_253 = e12)
% 29.42/7.58 |
% 29.42/7.58 | Simplifying 2658 yields:
% 29.42/7.58 | (46) ~ (all_0_253_253 = e12)
% 29.42/7.58 |
% 29.42/7.58 | Equations (1152) can reduce 695 to:
% 29.42/7.58 | (113) ~ (e12 = e11)
% 29.42/7.58 |
% 29.42/7.58 | From (1152) and (103) follows:
% 29.42/7.58 | (1429) op1(e12, e12) = all_0_213_213
% 29.42/7.58 |
% 29.42/7.58 | From (1152) and (173) follows:
% 29.42/7.58 | (1430) op1(e12, e12) = all_0_214_214
% 29.42/7.58 |
% 29.42/7.58 | Instantiating formula (144) with e13, e13, all_0_223_223, e11 and discharging atoms op1(e13, e13) = all_0_223_223, op1(e13, e13) = e11, yields:
% 29.42/7.58 | (2951) all_0_223_223 = e11
% 29.42/7.58 |
% 29.42/7.58 | Instantiating formula (144) with e13, e11, all_0_224_224, e12 and discharging atoms op1(e13, e11) = all_0_224_224, op1(e13, e11) = e12, yields:
% 29.42/7.58 | (1057) all_0_224_224 = e12
% 29.42/7.58 |
% 29.42/7.58 | Instantiating formula (144) with e12, e12, all_0_214_214, all_0_251_251 and discharging atoms op1(e12, e12) = all_0_214_214, op1(e12, e12) = all_0_251_251, yields:
% 29.42/7.58 | (4691) all_0_214_214 = all_0_251_251
% 29.42/7.58 |
% 29.42/7.58 | Instantiating formula (144) with e12, e12, all_0_214_214, all_0_213_213 and discharging atoms op1(e12, e12) = all_0_213_213, op1(e12, e12) = all_0_214_214, yields:
% 29.42/7.58 | (1542) all_0_213_213 = all_0_214_214
% 29.42/7.58 |
% 29.42/7.58 | Instantiating formula (144) with e12, e12, all_0_226_226, all_0_213_213 and discharging atoms op1(e12, e12) = all_0_213_213, op1(e12, e12) = all_0_226_226, yields:
% 29.42/7.58 | (1575) all_0_213_213 = all_0_226_226
% 29.42/7.58 |
% 29.42/7.58 | Instantiating formula (144) with e12, e11, all_0_227_227, e11 and discharging atoms op1(e12, e11) = all_0_227_227, op1(e12, e11) = e11, yields:
% 29.42/7.58 | (1862) all_0_227_227 = e11
% 29.42/7.58 |
% 29.42/7.58 | Combining equations (1542,1575) yields a new equation:
% 29.42/7.58 | (1582) all_0_214_214 = all_0_226_226
% 29.42/7.58 |
% 29.42/7.58 | Simplifying 1582 yields:
% 29.42/7.58 | (1583) all_0_214_214 = all_0_226_226
% 29.42/7.58 |
% 29.42/7.58 | Combining equations (4691,1583) yields a new equation:
% 29.42/7.58 | (5715) all_0_226_226 = all_0_251_251
% 29.42/7.58 |
% 29.42/7.58 | Combining equations (5715,1583) yields a new equation:
% 29.42/7.58 | (4691) all_0_214_214 = all_0_251_251
% 29.42/7.58 |
% 29.42/7.58 | Combining equations (5715,1575) yields a new equation:
% 29.42/7.58 | (4688) all_0_213_213 = all_0_251_251
% 29.42/7.58 |
% 29.42/7.58 | From (2951) and (2685) follows:
% 29.42/7.58 | (731) op1(e13, e13) = e11
% 29.42/7.58 |
% 29.42/7.58 +-Applying beta-rule and splitting (286), into two cases.
% 29.42/7.58 |-Branch one:
% 29.42/7.58 | (1191) all_0_247_247 = e13
% 29.42/7.58 |
% 29.42/7.58 | Equations (1191) can reduce 457 to:
% 29.42/7.58 | (5720) ~ (all_0_249_249 = e13)
% 29.42/7.58 |
% 29.42/7.58 | Simplifying 5720 yields:
% 29.42/7.58 | (1181) ~ (all_0_249_249 = e13)
% 29.42/7.58 |
% 29.42/7.58 | Equations (1191) can reduce 101 to:
% 29.42/7.58 | (446) ~ (e13 = e11)
% 29.42/7.58 |
% 29.42/7.58 | From (1191) and (289) follows:
% 29.42/7.58 | (1198) op1(e13, e13) = all_0_204_204
% 29.42/7.58 |
% 29.42/7.58 | From (1191) and (230) follows:
% 29.42/7.58 | (2706) op1(e13, e12) = all_0_203_203
% 29.42/7.58 |
% 29.42/7.58 | From (1191) and (213) follows:
% 29.42/7.58 | (2081) op1(e13, e13) = all_0_205_205
% 29.42/7.58 |
% 29.42/7.58 | From (1191) and (62) follows:
% 29.42/7.58 | (2708) op1(e13, e12) = e13
% 29.42/7.58 |
% 29.42/7.58 +-Applying beta-rule and splitting (124), into two cases.
% 29.42/7.58 |-Branch one:
% 29.42/7.58 | (850) all_0_249_249 = e13
% 29.42/7.58 |
% 29.42/7.58 | Equations (850) can reduce 1181 to:
% 29.42/7.58 | (537) $false
% 29.42/7.58 |
% 29.42/7.58 |-The branch is then unsatisfiable
% 29.42/7.58 |-Branch two:
% 29.42/7.58 | (1181) ~ (all_0_249_249 = e13)
% 29.42/7.58 | (1182) all_0_253_253 = e13 | all_0_257_257 = e13
% 29.42/7.58 |
% 29.42/7.58 +-Applying beta-rule and splitting (1250), into two cases.
% 29.42/7.58 |-Branch one:
% 29.42/7.58 | (850) all_0_249_249 = e13
% 29.42/7.58 |
% 29.42/7.58 | Equations (850) can reduce 1181 to:
% 29.42/7.58 | (537) $false
% 29.42/7.58 |
% 29.42/7.58 |-The branch is then unsatisfiable
% 29.42/7.58 |-Branch two:
% 29.42/7.58 | (1181) ~ (all_0_249_249 = e13)
% 29.42/7.58 | (861) all_0_249_249 = e10
% 29.42/7.58 |
% 29.42/7.58 | Equations (861) can reduce 474 to:
% 29.42/7.58 | (3166) ~ (all_0_253_253 = e10)
% 29.42/7.58 |
% 29.42/7.58 | Simplifying 3166 yields:
% 29.42/7.58 | (870) ~ (all_0_253_253 = e10)
% 29.42/7.58 |
% 29.42/7.58 | Equations (861) can reduce 694 to:
% 29.42/7.58 | (906) ~ (e11 = e10)
% 29.42/7.58 |
% 29.42/7.58 | Simplifying 906 yields:
% 29.42/7.58 | (293) ~ (e11 = e10)
% 29.42/7.58 |
% 29.42/7.58 | From (861) and (209) follows:
% 29.42/7.58 | (1285) op1(e13, e10) = all_0_211_211
% 29.42/7.58 |
% 29.42/7.58 | From (861) and (260) follows:
% 29.42/7.58 | (1286) op1(e13, e10) = e10
% 29.42/7.58 |
% 29.42/7.58 +-Applying beta-rule and splitting (372), into two cases.
% 29.42/7.58 |-Branch one:
% 29.42/7.58 | (1011) all_0_251_251 = e10
% 29.42/7.58 |
% 29.42/7.58 | Combining equations (1011,4688) yields a new equation:
% 29.42/7.58 | (903) all_0_213_213 = e10
% 29.42/7.58 |
% 29.42/7.58 | Equations (1011) can reduce 23 to:
% 29.42/7.58 | (3166) ~ (all_0_253_253 = e10)
% 29.42/7.58 |
% 29.42/7.58 | Simplifying 3166 yields:
% 29.42/7.58 | (870) ~ (all_0_253_253 = e10)
% 29.42/7.58 |
% 29.42/7.58 | Equations (1011) can reduce 108 to:
% 29.42/7.58 | (906) ~ (e11 = e10)
% 29.42/7.58 |
% 29.42/7.58 | Simplifying 906 yields:
% 29.42/7.58 | (293) ~ (e11 = e10)
% 29.42/7.58 |
% 29.42/7.58 +-Applying beta-rule and splitting (1182), into two cases.
% 29.42/7.58 |-Branch one:
% 29.42/7.58 | (1183) all_0_253_253 = e13
% 29.42/7.58 |
% 29.42/7.58 | Equations (1183) can reduce 46 to:
% 29.42/7.58 | (305) ~ (e13 = e12)
% 29.42/7.58 |
% 29.42/7.58 | Equations (1183) can reduce 870 to:
% 29.42/7.58 | (210) ~ (e13 = e10)
% 29.42/7.58 |
% 29.42/7.58 | From (1183) and (366) follows:
% 29.42/7.58 | (2727) op1(e13, e12) = all_0_221_221
% 29.42/7.58 |
% 29.42/7.58 | Instantiating formula (144) with e13, e13, all_0_204_204, e11 and discharging atoms op1(e13, e13) = all_0_204_204, op1(e13, e13) = e11, yields:
% 29.42/7.58 | (1325) all_0_204_204 = e11
% 29.42/7.58 |
% 29.42/7.58 | Instantiating formula (144) with e13, e13, all_0_205_205, all_0_204_204 and discharging atoms op1(e13, e13) = all_0_204_204, op1(e13, e13) = all_0_205_205, yields:
% 29.42/7.58 | (2782) all_0_204_204 = all_0_205_205
% 29.42/7.58 |
% 29.42/7.58 | Instantiating formula (144) with e13, e12, all_0_221_221, all_0_203_203 and discharging atoms op1(e13, e12) = all_0_203_203, op1(e13, e12) = all_0_221_221, yields:
% 29.42/7.58 | (2788) all_0_203_203 = all_0_221_221
% 29.42/7.58 |
% 29.42/7.58 | Instantiating formula (144) with e13, e12, e13, all_0_203_203 and discharging atoms op1(e13, e12) = all_0_203_203, op1(e13, e12) = e13, yields:
% 29.42/7.58 | (2789) all_0_203_203 = e13
% 29.42/7.58 |
% 29.42/7.58 | Instantiating formula (144) with e13, e10, e10, all_0_211_211 and discharging atoms op1(e13, e10) = all_0_211_211, op1(e13, e10) = e10, yields:
% 29.42/7.58 | (1321) all_0_211_211 = e10
% 29.42/7.58 |
% 29.42/7.58 | Combining equations (2789,2788) yields a new equation:
% 29.42/7.58 | (840) all_0_221_221 = e13
% 29.42/7.58 |
% 29.42/7.58 | Combining equations (1325,2782) yields a new equation:
% 29.42/7.58 | (5757) all_0_205_205 = e11
% 29.42/7.58 |
% 29.42/7.58 | Combining equations (5757,2782) yields a new equation:
% 29.42/7.58 | (1325) all_0_204_204 = e11
% 29.42/7.58 |
% 29.42/7.58 +-Applying beta-rule and splitting (257), into two cases.
% 29.42/7.58 |-Branch one:
% 29.42/7.58 | (940) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)) | (all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10))
% 29.42/7.58 |
% 29.42/7.58 +-Applying beta-rule and splitting (940), into two cases.
% 29.42/7.58 |-Branch one:
% 29.42/7.58 | (941) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12))
% 29.42/7.58 |
% 29.42/7.58 +-Applying beta-rule and splitting (941), into two cases.
% 29.42/7.58 |-Branch one:
% 29.42/7.58 | (942) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13))
% 29.42/7.58 |
% 29.42/7.58 +-Applying beta-rule and splitting (942), into two cases.
% 29.42/7.58 |-Branch one:
% 29.42/7.58 | (943) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10))
% 29.42/7.59 |
% 29.42/7.59 +-Applying beta-rule and splitting (943), into two cases.
% 29.42/7.59 |-Branch one:
% 29.42/7.59 | (944) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11))
% 29.42/7.59 |
% 29.42/7.59 +-Applying beta-rule and splitting (944), into two cases.
% 29.42/7.59 |-Branch one:
% 29.42/7.59 | (945) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13))
% 29.42/7.59 |
% 29.42/7.59 +-Applying beta-rule and splitting (945), into two cases.
% 29.42/7.59 |-Branch one:
% 29.42/7.59 | (946) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10))
% 29.42/7.59 |
% 29.42/7.59 +-Applying beta-rule and splitting (946), into two cases.
% 29.42/7.59 |-Branch one:
% 29.42/7.59 | (947) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11))
% 29.42/7.59 |
% 29.42/7.59 +-Applying beta-rule and splitting (947), into two cases.
% 29.42/7.59 |-Branch one:
% 29.42/7.59 | (948) all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)
% 29.42/7.59 |
% 29.42/7.59 | Applying alpha-rule on (948) yields:
% 29.42/7.59 | (949) all_0_204_204 = e12
% 29.42/7.59 | (950) ~ (all_0_203_203 = e13)
% 29.42/7.59 | (951) ~ (all_0_205_205 = e12)
% 29.42/7.59 |
% 29.42/7.59 | Combining equations (949,1325) yields a new equation:
% 29.42/7.59 | (771) e12 = e11
% 29.42/7.59 |
% 29.42/7.59 | Simplifying 771 yields:
% 29.42/7.59 | (772) e12 = e11
% 29.42/7.59 |
% 29.42/7.59 | Equations (772) can reduce 113 to:
% 29.42/7.59 | (537) $false
% 29.42/7.59 |
% 29.42/7.59 |-The branch is then unsatisfiable
% 29.42/7.59 |-Branch two:
% 29.42/7.59 | (954) all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)
% 29.42/7.59 |
% 29.42/7.59 | Applying alpha-rule on (954) yields:
% 29.42/7.59 | (955) all_0_207_207 = e11
% 29.42/7.59 | (956) ~ (all_0_206_206 = e13)
% 29.42/7.59 | (957) ~ (all_0_208_208 = e11)
% 29.42/7.59 |
% 29.42/7.59 | Combining equations (1587,955) yields a new equation:
% 29.42/7.59 | (771) e12 = e11
% 29.42/7.59 |
% 29.42/7.59 | Simplifying 771 yields:
% 29.42/7.59 | (772) e12 = e11
% 29.42/7.59 |
% 29.42/7.59 | Equations (772) can reduce 113 to:
% 29.42/7.59 | (537) $false
% 29.42/7.59 |
% 29.42/7.59 |-The branch is then unsatisfiable
% 29.42/7.59 |-Branch two:
% 29.42/7.59 | (961) all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)
% 29.42/7.59 |
% 29.42/7.59 | Applying alpha-rule on (961) yields:
% 29.42/7.59 | (962) all_0_210_210 = e10
% 29.42/7.59 | (963) ~ (all_0_209_209 = e13)
% 29.42/7.59 | (964) ~ (all_0_211_211 = e10)
% 29.42/7.59 |
% 29.42/7.59 | Equations (1321) can reduce 964 to:
% 29.42/7.59 | (537) $false
% 29.42/7.59 |
% 29.42/7.59 |-The branch is then unsatisfiable
% 29.42/7.59 |-Branch two:
% 29.42/7.59 | (968) all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)
% 29.42/7.59 |
% 29.42/7.59 | Applying alpha-rule on (968) yields:
% 29.42/7.59 | (969) all_0_213_213 = e13
% 29.42/7.59 | (970) ~ (all_0_212_212 = e12)
% 29.42/7.59 | (971) ~ (all_0_214_214 = e13)
% 29.42/7.59 |
% 29.42/7.59 | Combining equations (903,969) yields a new equation:
% 29.42/7.59 | (862) e13 = e10
% 29.42/7.59 |
% 29.42/7.59 | Equations (862) can reduce 210 to:
% 29.42/7.59 | (537) $false
% 29.42/7.59 |
% 29.42/7.59 |-The branch is then unsatisfiable
% 29.42/7.59 |-Branch two:
% 29.42/7.59 | (974) all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)
% 29.42/7.59 |
% 29.42/7.59 | Applying alpha-rule on (974) yields:
% 29.42/7.59 | (975) all_0_218_218 = e11
% 29.42/7.59 | (976) ~ (all_0_217_217 = e12)
% 29.42/7.59 | (977) ~ (all_0_219_219 = e11)
% 29.42/7.59 |
% 29.42/7.59 | Combining equations (5684,975) yields a new equation:
% 29.42/7.59 | (771) e12 = e11
% 29.42/7.59 |
% 29.42/7.59 | Simplifying 771 yields:
% 29.42/7.59 | (772) e12 = e11
% 29.42/7.59 |
% 29.42/7.59 | Equations (772) can reduce 113 to:
% 29.42/7.59 | (537) $false
% 29.42/7.59 |
% 29.42/7.59 |-The branch is then unsatisfiable
% 29.42/7.59 |-Branch two:
% 29.42/7.59 | (979) all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)
% 29.42/7.59 |
% 29.42/7.59 | Applying alpha-rule on (979) yields:
% 29.42/7.59 | (980) all_0_221_221 = e10
% 29.42/7.59 | (981) ~ (all_0_220_220 = e12)
% 29.42/7.59 | (982) ~ (all_0_222_222 = e10)
% 29.42/7.59 |
% 29.42/7.59 | Combining equations (980,840) yields a new equation:
% 29.42/7.59 | (862) e13 = e10
% 29.42/7.59 |
% 29.42/7.59 | Equations (862) can reduce 210 to:
% 29.42/7.59 | (537) $false
% 29.42/7.59 |
% 29.42/7.59 |-The branch is then unsatisfiable
% 29.42/7.59 |-Branch two:
% 29.42/7.59 | (986) all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)
% 29.42/7.59 |
% 29.42/7.59 | Applying alpha-rule on (986) yields:
% 29.42/7.59 | (987) all_0_224_224 = e13
% 29.42/7.59 | (988) ~ (all_0_223_223 = e11)
% 29.42/7.59 | (989) ~ (all_0_225_225 = e13)
% 29.42/7.59 |
% 29.42/7.59 | Combining equations (1057,987) yields a new equation:
% 29.42/7.59 | (833) e13 = e12
% 29.42/7.59 |
% 29.42/7.59 | Equations (833) can reduce 305 to:
% 29.42/7.59 | (537) $false
% 29.42/7.59 |
% 29.42/7.59 |-The branch is then unsatisfiable
% 29.42/7.59 |-Branch two:
% 29.42/7.59 | (992) all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)
% 29.42/7.59 |
% 29.42/7.59 | Applying alpha-rule on (992) yields:
% 29.42/7.59 | (993) all_0_227_227 = e12
% 29.42/7.59 | (994) ~ (all_0_226_226 = e11)
% 29.42/7.59 | (995) ~ (all_0_228_228 = e12)
% 29.42/7.59 |
% 29.42/7.59 | Combining equations (1862,993) yields a new equation:
% 29.42/7.59 | (772) e12 = e11
% 29.42/7.59 |
% 29.42/7.59 | Equations (772) can reduce 113 to:
% 29.42/7.59 | (537) $false
% 29.42/7.59 |
% 29.42/7.59 |-The branch is then unsatisfiable
% 29.42/7.59 |-Branch two:
% 29.42/7.59 | (997) all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10)
% 29.42/7.59 |
% 29.42/7.59 | Applying alpha-rule on (997) yields:
% 29.42/7.59 | (998) all_0_232_232 = e10
% 29.42/7.59 | (999) ~ (all_0_231_231 = e11)
% 29.42/7.59 | (1000) ~ (all_0_233_233 = e10)
% 29.42/7.59 |
% 29.42/7.59 | Equations (3879) can reduce 1000 to:
% 29.42/7.59 | (537) $false
% 29.42/7.59 |
% 29.42/7.59 |-The branch is then unsatisfiable
% 29.42/7.59 |-Branch two:
% 29.42/7.59 | (1004) all_0_249_249 = e11 & ~ (all_0_248_248 = e10)
% 29.42/7.59 |
% 29.42/7.59 | Applying alpha-rule on (1004) yields:
% 29.42/7.59 | (1005) all_0_249_249 = e11
% 29.42/7.59 | (905) ~ (all_0_248_248 = e10)
% 29.42/7.59 |
% 29.42/7.59 | Combining equations (861,1005) yields a new equation:
% 29.42/7.59 | (868) e11 = e10
% 29.42/7.59 |
% 29.42/7.59 | Equations (868) can reduce 293 to:
% 29.42/7.59 | (537) $false
% 29.42/7.59 |
% 29.42/7.59 |-The branch is then unsatisfiable
% 29.42/7.59 |-Branch two:
% 29.42/7.59 | (1186) ~ (all_0_253_253 = e13)
% 29.42/7.59 | (1187) all_0_257_257 = e13
% 29.42/7.59 |
% 29.42/7.59 | Combining equations (1505,1187) yields a new equation:
% 29.42/7.59 | (959) e13 = e11
% 29.42/7.59 |
% 29.42/7.59 | Equations (959) can reduce 446 to:
% 29.42/7.59 | (537) $false
% 29.42/7.59 |
% 29.42/7.59 |-The branch is then unsatisfiable
% 29.42/7.59 |-Branch two:
% 29.42/7.59 | (921) ~ (all_0_251_251 = e10)
% 29.42/7.59 | (1226) all_0_252_252 = e10 | all_0_253_253 = e10
% 29.42/7.59 |
% 29.42/7.59 +-Applying beta-rule and splitting (2526), into two cases.
% 29.42/7.59 |-Branch one:
% 29.42/7.59 | (1183) all_0_253_253 = e13
% 29.42/7.59 |
% 29.42/7.59 | Equations (1183) can reduce 870 to:
% 29.42/7.59 | (210) ~ (e13 = e10)
% 29.42/7.59 |
% 29.42/7.59 +-Applying beta-rule and splitting (1226), into two cases.
% 29.42/7.59 |-Branch one:
% 29.42/7.59 | (918) all_0_252_252 = e10
% 29.42/7.59 |
% 29.42/7.59 | Combining equations (918,738) yields a new equation:
% 29.42/7.59 | (868) e11 = e10
% 29.42/7.59 |
% 29.42/7.59 | Equations (868) can reduce 293 to:
% 29.42/7.59 | (537) $false
% 29.42/7.59 |
% 29.42/7.59 |-The branch is then unsatisfiable
% 29.42/7.59 |-Branch two:
% 29.42/7.59 | (1020) ~ (all_0_252_252 = e10)
% 29.42/7.59 | (866) all_0_253_253 = e10
% 29.42/7.59 |
% 29.42/7.59 | Combining equations (866,1183) yields a new equation:
% 29.42/7.59 | (862) e13 = e10
% 29.42/7.59 |
% 29.42/7.59 | Equations (862) can reduce 210 to:
% 29.42/7.59 | (537) $false
% 29.42/7.59 |
% 29.42/7.59 |-The branch is then unsatisfiable
% 29.42/7.59 |-Branch two:
% 29.42/7.59 | (1186) ~ (all_0_253_253 = e13)
% 29.42/7.59 | (866) all_0_253_253 = e10
% 29.42/7.59 |
% 29.42/7.59 | Equations (866) can reduce 870 to:
% 29.42/7.59 | (537) $false
% 29.42/7.59 |
% 29.42/7.59 |-The branch is then unsatisfiable
% 29.42/7.59 |-Branch two:
% 29.42/7.59 | (1405) ~ (all_0_247_247 = e13)
% 29.42/7.59 | (1454) all_0_247_247 = e12 | all_0_247_247 = e10
% 29.42/7.59 |
% 29.42/7.59 +-Applying beta-rule and splitting (1454), into two cases.
% 29.42/7.59 |-Branch one:
% 29.42/7.59 | (1051) all_0_247_247 = e12
% 29.42/7.59 |
% 29.42/7.59 | Equations (1051) can reduce 1150 to:
% 29.42/7.59 | (537) $false
% 29.42/7.59 |
% 29.42/7.59 |-The branch is then unsatisfiable
% 29.42/7.59 |-Branch two:
% 29.42/7.59 | (1150) ~ (all_0_247_247 = e12)
% 29.42/7.59 | (902) all_0_247_247 = e10
% 29.42/7.59 |
% 29.42/7.59 | Equations (902) can reduce 457 to:
% 29.42/7.59 | (5851) ~ (all_0_249_249 = e10)
% 29.42/7.59 |
% 29.42/7.59 | Simplifying 5851 yields:
% 29.42/7.59 | (864) ~ (all_0_249_249 = e10)
% 29.42/7.59 |
% 29.42/7.59 | Equations (902) can reduce 1405 to:
% 29.42/7.59 | (872) ~ (e13 = e10)
% 29.42/7.59 |
% 29.42/7.59 | Simplifying 872 yields:
% 29.42/7.59 | (210) ~ (e13 = e10)
% 29.42/7.59 |
% 29.42/7.59 | Equations (902) can reduce 101 to:
% 29.42/7.59 | (906) ~ (e11 = e10)
% 29.42/7.59 |
% 29.42/7.59 | Simplifying 906 yields:
% 29.42/7.59 | (293) ~ (e11 = e10)
% 29.42/7.59 |
% 29.42/7.59 | From (902) and (289) follows:
% 29.42/7.59 | (908) op1(e10, e13) = all_0_204_204
% 29.42/7.59 |
% 29.42/7.59 | From (902) and (230) follows:
% 29.42/7.59 | (4268) op1(e10, e12) = all_0_203_203
% 29.42/7.59 |
% 29.42/7.59 +-Applying beta-rule and splitting (231), into two cases.
% 29.42/7.59 |-Branch one:
% 29.42/7.59 | (1465) all_0_246_246 = e13
% 29.42/7.59 |
% 29.42/7.59 | Combining equations (720,1465) yields a new equation:
% 29.42/7.59 | (959) e13 = e11
% 29.42/7.59 |
% 29.42/7.59 | Equations (959) can reduce 446 to:
% 29.42/7.59 | (537) $false
% 29.42/7.59 |
% 29.42/7.59 |-The branch is then unsatisfiable
% 29.42/7.59 |-Branch two:
% 29.42/7.59 | (1469) ~ (all_0_246_246 = e13)
% 29.42/7.59 | (1470) all_0_247_247 = e13 | all_0_249_249 = e13
% 29.42/7.59 |
% 29.42/7.59 +-Applying beta-rule and splitting (189), into two cases.
% 29.42/7.59 |-Branch one:
% 29.42/7.59 | (1191) all_0_247_247 = e13
% 29.42/7.59 |
% 29.42/7.59 | Combining equations (902,1191) yields a new equation:
% 29.42/7.59 | (862) e13 = e10
% 29.42/7.59 |
% 29.42/7.59 | Equations (862) can reduce 210 to:
% 29.42/7.59 | (537) $false
% 29.42/7.59 |
% 29.42/7.59 |-The branch is then unsatisfiable
% 29.42/7.59 |-Branch two:
% 29.42/7.59 | (1405) ~ (all_0_247_247 = e13)
% 29.42/7.59 | (1406) all_0_251_251 = e13 | all_0_255_255 = e13
% 29.42/7.59 |
% 29.42/7.59 | Equations (902) can reduce 1405 to:
% 29.42/7.59 | (872) ~ (e13 = e10)
% 29.42/7.59 |
% 29.42/7.59 | Simplifying 872 yields:
% 29.42/7.59 | (210) ~ (e13 = e10)
% 29.42/7.59 |
% 29.42/7.59 +-Applying beta-rule and splitting (45), into two cases.
% 29.42/7.59 |-Branch one:
% 29.42/7.59 | (861) all_0_249_249 = e10
% 29.42/7.59 |
% 29.42/7.59 | Equations (861) can reduce 864 to:
% 29.42/7.59 | (537) $false
% 29.42/7.59 |
% 29.42/7.59 |-The branch is then unsatisfiable
% 29.42/7.59 |-Branch two:
% 29.42/7.59 | (864) ~ (all_0_249_249 = e10)
% 29.42/7.59 | (865) all_0_253_253 = e10 | all_0_257_257 = e10
% 29.42/7.59 |
% 29.42/7.59 +-Applying beta-rule and splitting (1470), into two cases.
% 29.42/7.59 |-Branch one:
% 29.42/7.59 | (1191) all_0_247_247 = e13
% 29.42/7.59 |
% 29.42/7.59 | Combining equations (902,1191) yields a new equation:
% 29.42/7.59 | (862) e13 = e10
% 29.42/7.59 |
% 29.42/7.59 | Equations (862) can reduce 210 to:
% 29.42/7.59 | (537) $false
% 29.42/7.59 |
% 29.42/7.59 |-The branch is then unsatisfiable
% 29.42/7.59 |-Branch two:
% 29.42/7.59 | (1405) ~ (all_0_247_247 = e13)
% 29.42/7.59 | (850) all_0_249_249 = e13
% 29.42/7.59 |
% 29.42/7.59 | Equations (850) can reduce 474 to:
% 29.42/7.59 | (3037) ~ (all_0_253_253 = e13)
% 29.42/7.59 |
% 29.42/7.59 | Simplifying 3037 yields:
% 29.42/7.59 | (1186) ~ (all_0_253_253 = e13)
% 29.42/7.59 |
% 29.42/7.59 | From (850) and (375) follows:
% 29.42/7.59 | (856) op1(e13, e13) = all_0_210_210
% 29.42/7.59 |
% 29.42/7.59 | From (850) and (209) follows:
% 29.42/7.59 | (857) op1(e13, e13) = all_0_211_211
% 29.42/7.59 |
% 29.42/7.59 +-Applying beta-rule and splitting (180), into two cases.
% 29.42/7.59 |-Branch one:
% 29.42/7.59 | (929) all_0_251_251 = e13
% 29.42/7.59 |
% 29.42/7.59 | Combining equations (929,4691) yields a new equation:
% 29.42/7.59 | (816) all_0_214_214 = e13
% 29.42/7.59 |
% 29.42/7.59 | Equations (929) can reduce 1010 to:
% 29.42/7.59 | (305) ~ (e13 = e12)
% 29.42/7.59 |
% 29.42/7.59 | Equations (929) can reduce 108 to:
% 29.42/7.59 | (446) ~ (e13 = e11)
% 29.42/7.59 |
% 29.42/7.59 +-Applying beta-rule and splitting (865), into two cases.
% 29.42/7.59 |-Branch one:
% 29.42/7.60 | (866) all_0_253_253 = e10
% 29.42/7.60 |
% 29.42/7.60 | Equations (866) can reduce 46 to:
% 29.42/7.60 | (874) ~ (e12 = e10)
% 29.42/7.60 |
% 29.42/7.60 | Simplifying 874 yields:
% 29.42/7.60 | (8) ~ (e12 = e10)
% 29.42/7.60 |
% 29.42/7.60 | Equations (866) can reduce 2525 to:
% 29.42/7.60 | (906) ~ (e11 = e10)
% 29.42/7.60 |
% 29.42/7.60 | Simplifying 906 yields:
% 29.42/7.60 | (293) ~ (e11 = e10)
% 29.42/7.60 |
% 29.42/7.60 | From (866) and (366) follows:
% 29.42/7.60 | (3049) op1(e10, e12) = all_0_221_221
% 29.42/7.60 |
% 29.42/7.60 | Instantiating formula (144) with e13, e13, all_0_210_210, e11 and discharging atoms op1(e13, e13) = all_0_210_210, op1(e13, e13) = e11, yields:
% 29.42/7.60 | (878) all_0_210_210 = e11
% 29.42/7.60 |
% 29.42/7.60 | Instantiating formula (144) with e13, e13, all_0_211_211, all_0_210_210 and discharging atoms op1(e13, e13) = all_0_210_210, op1(e13, e13) = all_0_211_211, yields:
% 29.42/7.60 | (896) all_0_210_210 = all_0_211_211
% 29.42/7.60 |
% 29.42/7.60 | Instantiating formula (144) with e10, e13, all_0_204_204, e10 and discharging atoms op1(e10, e13) = all_0_204_204, op1(e10, e13) = e10, yields:
% 29.42/7.60 | (938) all_0_204_204 = e10
% 29.42/7.60 |
% 29.42/7.60 | Instantiating formula (144) with e10, e12, all_0_203_203, e11 and discharging atoms op1(e10, e12) = all_0_203_203, op1(e10, e12) = e11, yields:
% 29.42/7.60 | (4364) all_0_203_203 = e11
% 29.42/7.60 |
% 29.42/7.60 | Instantiating formula (144) with e10, e12, all_0_221_221, all_0_203_203 and discharging atoms op1(e10, e12) = all_0_203_203, op1(e10, e12) = all_0_221_221, yields:
% 29.42/7.60 | (2788) all_0_203_203 = all_0_221_221
% 29.42/7.60 |
% 29.42/7.60 | Combining equations (2788,4364) yields a new equation:
% 29.42/7.60 | (4365) all_0_221_221 = e11
% 29.42/7.60 |
% 29.42/7.60 | Simplifying 4365 yields:
% 29.42/7.60 | (3067) all_0_221_221 = e11
% 29.42/7.60 |
% 29.42/7.60 | Combining equations (878,896) yields a new equation:
% 29.42/7.60 | (897) all_0_211_211 = e11
% 29.42/7.60 |
% 29.42/7.60 | Combining equations (897,896) yields a new equation:
% 29.42/7.60 | (878) all_0_210_210 = e11
% 29.42/7.60 |
% 29.42/7.60 +-Applying beta-rule and splitting (257), into two cases.
% 29.42/7.60 |-Branch one:
% 29.42/7.60 | (940) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)) | (all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10))
% 29.42/7.60 |
% 29.42/7.60 +-Applying beta-rule and splitting (940), into two cases.
% 29.42/7.60 |-Branch one:
% 29.42/7.60 | (941) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12))
% 29.42/7.60 |
% 29.42/7.60 +-Applying beta-rule and splitting (941), into two cases.
% 29.42/7.60 |-Branch one:
% 29.42/7.60 | (942) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13))
% 29.42/7.60 |
% 29.42/7.60 +-Applying beta-rule and splitting (942), into two cases.
% 29.42/7.60 |-Branch one:
% 29.42/7.60 | (943) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10))
% 29.42/7.60 |
% 29.42/7.60 +-Applying beta-rule and splitting (943), into two cases.
% 29.42/7.60 |-Branch one:
% 29.42/7.60 | (944) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11))
% 29.42/7.60 |
% 29.42/7.60 +-Applying beta-rule and splitting (944), into two cases.
% 29.42/7.60 |-Branch one:
% 29.42/7.60 | (945) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13))
% 29.42/7.60 |
% 29.42/7.60 +-Applying beta-rule and splitting (945), into two cases.
% 29.42/7.60 |-Branch one:
% 29.42/7.60 | (946) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10))
% 29.42/7.60 |
% 29.42/7.60 +-Applying beta-rule and splitting (946), into two cases.
% 29.42/7.60 |-Branch one:
% 29.42/7.60 | (947) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11))
% 29.42/7.60 |
% 29.42/7.60 +-Applying beta-rule and splitting (947), into two cases.
% 29.42/7.60 |-Branch one:
% 29.42/7.60 | (948) all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)
% 29.42/7.60 |
% 29.42/7.60 | Applying alpha-rule on (948) yields:
% 29.42/7.60 | (949) all_0_204_204 = e12
% 29.42/7.60 | (950) ~ (all_0_203_203 = e13)
% 29.42/7.60 | (951) ~ (all_0_205_205 = e12)
% 29.42/7.60 |
% 29.42/7.60 | Combining equations (949,938) yields a new equation:
% 29.42/7.60 | (1159) e12 = e10
% 29.42/7.60 |
% 29.42/7.60 | Simplifying 1159 yields:
% 29.42/7.60 | (952) e12 = e10
% 29.42/7.60 |
% 29.42/7.60 | Equations (952) can reduce 8 to:
% 29.42/7.60 | (537) $false
% 29.42/7.60 |
% 29.42/7.60 |-The branch is then unsatisfiable
% 29.42/7.60 |-Branch two:
% 29.42/7.60 | (954) all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)
% 29.42/7.60 |
% 29.42/7.60 | Applying alpha-rule on (954) yields:
% 29.42/7.60 | (955) all_0_207_207 = e11
% 29.42/7.60 | (956) ~ (all_0_206_206 = e13)
% 29.42/7.60 | (957) ~ (all_0_208_208 = e11)
% 29.42/7.60 |
% 29.42/7.60 | Combining equations (1587,955) yields a new equation:
% 29.42/7.60 | (771) e12 = e11
% 29.42/7.60 |
% 29.42/7.60 | Simplifying 771 yields:
% 29.42/7.60 | (772) e12 = e11
% 29.42/7.60 |
% 29.42/7.60 | Equations (772) can reduce 113 to:
% 29.42/7.60 | (537) $false
% 29.42/7.60 |
% 29.42/7.60 |-The branch is then unsatisfiable
% 29.42/7.60 |-Branch two:
% 29.42/7.60 | (961) all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)
% 29.42/7.60 |
% 29.42/7.60 | Applying alpha-rule on (961) yields:
% 29.42/7.60 | (962) all_0_210_210 = e10
% 29.42/7.60 | (963) ~ (all_0_209_209 = e13)
% 29.42/7.60 | (964) ~ (all_0_211_211 = e10)
% 29.42/7.60 |
% 29.42/7.60 | Combining equations (962,878) yields a new equation:
% 29.42/7.60 | (868) e11 = e10
% 29.42/7.60 |
% 29.42/7.60 | Equations (868) can reduce 293 to:
% 29.42/7.60 | (537) $false
% 29.42/7.60 |
% 29.42/7.60 |-The branch is then unsatisfiable
% 29.42/7.60 |-Branch two:
% 29.42/7.60 | (968) all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)
% 29.42/7.60 |
% 29.42/7.60 | Applying alpha-rule on (968) yields:
% 29.42/7.60 | (969) all_0_213_213 = e13
% 29.42/7.60 | (970) ~ (all_0_212_212 = e12)
% 29.42/7.60 | (971) ~ (all_0_214_214 = e13)
% 29.42/7.60 |
% 29.42/7.60 | Equations (816) can reduce 971 to:
% 29.42/7.60 | (537) $false
% 29.42/7.60 |
% 29.42/7.60 |-The branch is then unsatisfiable
% 29.42/7.60 |-Branch two:
% 29.42/7.60 | (974) all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)
% 29.42/7.60 |
% 29.42/7.60 | Applying alpha-rule on (974) yields:
% 29.42/7.60 | (975) all_0_218_218 = e11
% 29.42/7.60 | (976) ~ (all_0_217_217 = e12)
% 29.42/7.60 | (977) ~ (all_0_219_219 = e11)
% 29.42/7.60 |
% 29.42/7.60 | Combining equations (5684,975) yields a new equation:
% 29.42/7.60 | (771) e12 = e11
% 29.42/7.60 |
% 29.42/7.60 | Simplifying 771 yields:
% 29.42/7.60 | (772) e12 = e11
% 29.42/7.60 |
% 29.42/7.60 | Equations (772) can reduce 113 to:
% 29.42/7.60 | (537) $false
% 29.42/7.60 |
% 29.42/7.60 |-The branch is then unsatisfiable
% 29.42/7.60 |-Branch two:
% 29.42/7.60 | (979) all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)
% 29.42/7.60 |
% 29.42/7.60 | Applying alpha-rule on (979) yields:
% 29.42/7.60 | (980) all_0_221_221 = e10
% 29.42/7.60 | (981) ~ (all_0_220_220 = e12)
% 29.42/7.60 | (982) ~ (all_0_222_222 = e10)
% 29.42/7.60 |
% 29.42/7.60 | Combining equations (980,3067) yields a new equation:
% 29.42/7.60 | (868) e11 = e10
% 29.42/7.60 |
% 29.42/7.60 | Equations (868) can reduce 293 to:
% 29.42/7.60 | (537) $false
% 29.42/7.60 |
% 29.42/7.60 |-The branch is then unsatisfiable
% 29.42/7.60 |-Branch two:
% 29.42/7.60 | (986) all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)
% 29.42/7.60 |
% 29.42/7.60 | Applying alpha-rule on (986) yields:
% 29.42/7.60 | (987) all_0_224_224 = e13
% 29.42/7.60 | (988) ~ (all_0_223_223 = e11)
% 29.42/7.60 | (989) ~ (all_0_225_225 = e13)
% 29.42/7.60 |
% 29.42/7.60 | Combining equations (1057,987) yields a new equation:
% 29.42/7.60 | (833) e13 = e12
% 29.42/7.60 |
% 29.42/7.60 | Equations (833) can reduce 305 to:
% 29.42/7.60 | (537) $false
% 29.42/7.60 |
% 29.42/7.60 |-The branch is then unsatisfiable
% 29.42/7.60 |-Branch two:
% 29.42/7.60 | (992) all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)
% 29.42/7.60 |
% 29.42/7.60 | Applying alpha-rule on (992) yields:
% 29.42/7.60 | (993) all_0_227_227 = e12
% 29.42/7.60 | (994) ~ (all_0_226_226 = e11)
% 29.42/7.60 | (995) ~ (all_0_228_228 = e12)
% 29.42/7.60 |
% 29.42/7.60 | Combining equations (1862,993) yields a new equation:
% 29.42/7.60 | (772) e12 = e11
% 29.42/7.60 |
% 29.42/7.60 | Equations (772) can reduce 113 to:
% 29.42/7.60 | (537) $false
% 29.42/7.60 |
% 29.42/7.60 |-The branch is then unsatisfiable
% 29.42/7.60 |-Branch two:
% 29.42/7.60 | (997) all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10)
% 29.42/7.60 |
% 29.42/7.60 | Applying alpha-rule on (997) yields:
% 29.42/7.60 | (998) all_0_232_232 = e10
% 29.42/7.60 | (999) ~ (all_0_231_231 = e11)
% 29.42/7.60 | (1000) ~ (all_0_233_233 = e10)
% 29.42/7.60 |
% 29.42/7.60 | Equations (3879) can reduce 1000 to:
% 29.42/7.60 | (537) $false
% 29.42/7.60 |
% 29.42/7.60 |-The branch is then unsatisfiable
% 29.42/7.60 |-Branch two:
% 29.42/7.60 | (1004) all_0_249_249 = e11 & ~ (all_0_248_248 = e10)
% 29.42/7.60 |
% 29.42/7.60 | Applying alpha-rule on (1004) yields:
% 29.42/7.60 | (1005) all_0_249_249 = e11
% 29.42/7.60 | (905) ~ (all_0_248_248 = e10)
% 29.42/7.60 |
% 29.42/7.60 | Combining equations (850,1005) yields a new equation:
% 29.42/7.60 | (958) e13 = e11
% 29.42/7.60 |
% 29.42/7.60 | Simplifying 958 yields:
% 29.42/7.60 | (959) e13 = e11
% 29.42/7.60 |
% 29.42/7.60 | Equations (959) can reduce 446 to:
% 29.42/7.60 | (537) $false
% 29.42/7.60 |
% 29.42/7.60 |-The branch is then unsatisfiable
% 29.42/7.60 |-Branch two:
% 29.42/7.60 | (870) ~ (all_0_253_253 = e10)
% 29.42/7.60 | (871) all_0_257_257 = e10
% 29.42/7.60 |
% 29.42/7.60 | Combining equations (1505,871) yields a new equation:
% 29.42/7.60 | (867) e11 = e10
% 29.42/7.60 |
% 29.42/7.60 | Simplifying 867 yields:
% 29.42/7.60 | (868) e11 = e10
% 29.42/7.60 |
% 29.42/7.60 | Equations (868) can reduce 293 to:
% 29.42/7.60 | (537) $false
% 29.42/7.60 |
% 29.42/7.60 |-The branch is then unsatisfiable
% 29.42/7.60 |-Branch two:
% 29.42/7.60 | (778) ~ (all_0_251_251 = e13)
% 29.42/7.60 | (932) all_0_251_251 = e12 | all_0_251_251 = e10
% 29.42/7.60 |
% 29.42/7.60 +-Applying beta-rule and splitting (2526), into two cases.
% 29.42/7.60 |-Branch one:
% 29.42/7.60 | (1183) all_0_253_253 = e13
% 29.42/7.60 |
% 29.42/7.60 | Equations (1183) can reduce 1186 to:
% 29.42/7.60 | (537) $false
% 29.42/7.60 |
% 29.42/7.60 |-The branch is then unsatisfiable
% 29.42/7.60 |-Branch two:
% 29.42/7.60 | (1186) ~ (all_0_253_253 = e13)
% 29.42/7.60 | (866) all_0_253_253 = e10
% 29.42/7.60 |
% 29.42/7.60 | Equations (866) can reduce 23 to:
% 29.42/7.60 | (921) ~ (all_0_251_251 = e10)
% 29.42/7.60 |
% 29.42/7.60 +-Applying beta-rule and splitting (932), into two cases.
% 29.42/7.60 |-Branch one:
% 29.42/7.60 | (933) all_0_251_251 = e12
% 29.42/7.60 |
% 29.42/7.60 | Equations (933) can reduce 1010 to:
% 29.42/7.60 | (537) $false
% 29.42/7.60 |
% 29.42/7.60 |-The branch is then unsatisfiable
% 29.42/7.60 |-Branch two:
% 29.42/7.60 | (1010) ~ (all_0_251_251 = e12)
% 29.42/7.60 | (1011) all_0_251_251 = e10
% 29.42/7.60 |
% 29.42/7.60 | Equations (1011) can reduce 921 to:
% 29.42/7.60 | (537) $false
% 29.42/7.60 |
% 29.42/7.60 |-The branch is then unsatisfiable
% 29.42/7.60 |-Branch two:
% 29.42/7.60 | (1156) ~ (all_0_250_250 = e12)
% 29.42/7.60 | (1157) all_0_251_251 = e12 | all_0_252_252 = e12
% 29.42/7.60 |
% 29.42/7.60 +-Applying beta-rule and splitting (404), into two cases.
% 29.42/7.60 |-Branch one:
% 29.42/7.60 | (770) all_0_246_246 = e12
% 29.42/7.60 |
% 29.42/7.60 | Combining equations (720,770) yields a new equation:
% 29.42/7.60 | (772) e12 = e11
% 29.42/7.60 |
% 29.42/7.60 | Equations (772) can reduce 113 to:
% 29.42/7.61 | (537) $false
% 29.42/7.61 |
% 29.42/7.61 |-The branch is then unsatisfiable
% 29.42/7.61 |-Branch two:
% 29.42/7.61 | (774) ~ (all_0_246_246 = e12)
% 29.42/7.61 | (1966) all_0_250_250 = e12 | all_0_254_254 = e12
% 29.42/7.61 |
% 29.42/7.61 | Equations (720) can reduce 774 to:
% 29.42/7.61 | (698) ~ (e12 = e11)
% 29.42/7.61 |
% 29.42/7.61 | Simplifying 698 yields:
% 29.42/7.61 | (113) ~ (e12 = e11)
% 29.42/7.61 |
% 29.42/7.61 +-Applying beta-rule and splitting (1157), into two cases.
% 29.42/7.61 |-Branch one:
% 29.42/7.61 | (933) all_0_251_251 = e12
% 29.42/7.61 |
% 29.42/7.61 | Equations (933) can reduce 1010 to:
% 29.42/7.61 | (537) $false
% 29.42/7.61 |
% 29.42/7.61 |-The branch is then unsatisfiable
% 29.42/7.61 |-Branch two:
% 29.42/7.61 | (1010) ~ (all_0_251_251 = e12)
% 29.42/7.61 | (1056) all_0_252_252 = e12
% 29.42/7.61 |
% 29.42/7.61 | Combining equations (738,1056) yields a new equation:
% 29.42/7.61 | (772) e12 = e11
% 29.42/7.61 |
% 29.42/7.61 | Equations (772) can reduce 113 to:
% 29.42/7.61 | (537) $false
% 29.42/7.61 |
% 29.42/7.61 |-The branch is then unsatisfiable
% 29.42/7.61 |-Branch two:
% 29.42/7.61 | (782) ~ (all_0_254_254 = e13)
% 29.42/7.61 | (836) all_0_255_255 = e13 | all_0_257_257 = e13
% 29.42/7.61 |
% 29.42/7.61 +-Applying beta-rule and splitting (125), into two cases.
% 29.42/7.61 |-Branch one:
% 29.42/7.61 | (1465) all_0_246_246 = e13
% 29.42/7.61 |
% 29.42/7.61 | Combining equations (720,1465) yields a new equation:
% 29.42/7.61 | (959) e13 = e11
% 29.42/7.61 |
% 29.42/7.61 | Equations (959) can reduce 446 to:
% 29.42/7.61 | (537) $false
% 29.42/7.61 |
% 29.42/7.61 |-The branch is then unsatisfiable
% 29.42/7.61 |-Branch two:
% 29.42/7.61 | (1469) ~ (all_0_246_246 = e13)
% 29.42/7.61 | (1787) all_0_250_250 = e13 | all_0_254_254 = e13
% 29.42/7.61 |
% 29.42/7.61 | Equations (720) can reduce 1469 to:
% 29.42/7.61 | (748) ~ (e13 = e11)
% 29.42/7.61 |
% 29.42/7.61 | Simplifying 748 yields:
% 29.42/7.61 | (446) ~ (e13 = e11)
% 29.42/7.61 |
% 29.42/7.61 +-Applying beta-rule and splitting (836), into two cases.
% 29.42/7.61 |-Branch one:
% 29.42/7.61 | (839) all_0_255_255 = e13
% 29.42/7.61 |
% 29.42/7.61 | Combining equations (1403,839) yields a new equation:
% 29.42/7.61 | (833) e13 = e12
% 29.42/7.61 |
% 29.42/7.61 | Equations (833) can reduce 305 to:
% 29.42/7.61 | (537) $false
% 29.42/7.61 |
% 29.42/7.61 |-The branch is then unsatisfiable
% 29.42/7.61 |-Branch two:
% 29.42/7.61 | (1189) ~ (all_0_255_255 = e13)
% 29.42/7.61 | (1187) all_0_257_257 = e13
% 29.42/7.61 |
% 29.42/7.61 | Combining equations (1187,1505) yields a new equation:
% 29.42/7.61 | (958) e13 = e11
% 29.42/7.61 |
% 29.42/7.61 | Simplifying 958 yields:
% 29.42/7.61 | (959) e13 = e11
% 29.42/7.61 |
% 29.42/7.61 | Equations (959) can reduce 446 to:
% 29.42/7.61 | (537) $false
% 29.42/7.61 |
% 29.42/7.61 |-The branch is then unsatisfiable
% 29.42/7.61 |-Branch two:
% 29.42/7.61 | (800) ~ (all_0_255_255 = e12)
% 29.42/7.61 | (1676) all_0_256_256 = e12
% 29.42/7.61 |
% 29.42/7.61 | Combining equations (1021,1676) yields a new equation:
% 29.42/7.61 | (952) e12 = e10
% 29.42/7.61 |
% 29.42/7.61 | Equations (952) can reduce 8 to:
% 29.42/7.61 | (537) $false
% 29.42/7.61 |
% 29.42/7.61 |-The branch is then unsatisfiable
% 29.42/7.61 |-Branch two:
% 29.42/7.61 | (1013) ~ (all_0_248_248 = e12)
% 29.42/7.61 | (1014) all_0_252_252 = e12 | all_0_256_256 = e12
% 29.42/7.61 |
% 29.42/7.61 +-Applying beta-rule and splitting (917), into two cases.
% 29.42/7.61 |-Branch one:
% 29.42/7.61 | (927) all_0_248_248 = e12
% 29.42/7.61 |
% 29.42/7.61 | Equations (927) can reduce 1013 to:
% 29.42/7.61 | (537) $false
% 29.42/7.61 |
% 29.42/7.61 |-The branch is then unsatisfiable
% 29.42/7.61 |-Branch two:
% 29.42/7.61 | (1013) ~ (all_0_248_248 = e12)
% 29.42/7.61 | (910) all_0_248_248 = e10
% 29.42/7.61 |
% 29.42/7.61 | Equations (910) can reduce 343 to:
% 29.42/7.61 | (5851) ~ (all_0_249_249 = e10)
% 29.42/7.61 |
% 29.42/7.61 | Simplifying 5851 yields:
% 29.42/7.61 | (864) ~ (all_0_249_249 = e10)
% 29.42/7.61 |
% 29.42/7.61 | From (910) and (410) follows:
% 29.42/7.61 | (1043) op1(e10, e13) = all_0_207_207
% 29.42/7.61 |
% 29.42/7.61 | From (910) and (170) follows:
% 29.42/7.61 | (2673) op1(e10, e11) = all_0_206_206
% 29.42/7.61 |
% 29.42/7.61 | From (910) and (24) follows:
% 29.42/7.61 | (2674) op1(e13, e11) = e10
% 29.42/7.61 |
% 29.42/7.61 +-Applying beta-rule and splitting (45), into two cases.
% 29.42/7.61 |-Branch one:
% 29.42/7.61 | (861) all_0_249_249 = e10
% 29.42/7.61 |
% 29.42/7.61 | Equations (861) can reduce 864 to:
% 29.42/7.61 | (537) $false
% 29.42/7.61 |
% 29.42/7.61 |-The branch is then unsatisfiable
% 29.42/7.61 |-Branch two:
% 29.42/7.61 | (864) ~ (all_0_249_249 = e10)
% 29.42/7.61 | (865) all_0_253_253 = e10 | all_0_257_257 = e10
% 29.42/7.61 |
% 29.42/7.61 +-Applying beta-rule and splitting (53), into two cases.
% 29.42/7.61 |-Branch one:
% 29.42/7.61 | (1178) all_0_255_255 = e10
% 29.42/7.61 |
% 29.42/7.61 | Combining equations (1178,4542) yields a new equation:
% 29.42/7.61 | (1067) all_0_218_218 = e10
% 29.42/7.61 |
% 29.42/7.61 | Equations (1178) can reduce 240 to:
% 29.42/7.61 | (1025) ~ (all_0_247_247 = e10)
% 29.42/7.61 |
% 29.42/7.61 | Equations (1178) can reduce 12 to:
% 29.42/7.61 | (142) ~ (all_0_254_254 = e10)
% 29.42/7.61 |
% 29.42/7.61 | Equations (1178) can reduce 134 to:
% 29.42/7.61 | (906) ~ (e11 = e10)
% 29.42/7.61 |
% 29.42/7.61 | Simplifying 906 yields:
% 29.42/7.61 | (293) ~ (e11 = e10)
% 29.42/7.61 |
% 29.42/7.61 | From (1178) and (299) follows:
% 29.42/7.61 | (1261) op1(e10, e11) = all_0_227_227
% 29.42/7.61 |
% 29.42/7.61 +-Applying beta-rule and splitting (1250), into two cases.
% 29.42/7.61 |-Branch one:
% 29.42/7.61 | (850) all_0_249_249 = e13
% 29.42/7.61 |
% 29.42/7.61 | From (850) and (375) follows:
% 29.42/7.61 | (856) op1(e13, e13) = all_0_210_210
% 29.42/7.61 |
% 29.42/7.61 | From (850) and (209) follows:
% 29.42/7.61 | (857) op1(e13, e13) = all_0_211_211
% 29.42/7.61 |
% 29.42/7.61 +-Applying beta-rule and splitting (274), into two cases.
% 29.42/7.61 |-Branch one:
% 29.42/7.61 | (741) all_0_256_256 = e11
% 29.42/7.61 |
% 29.42/7.61 | Equations (741) can reduce 1720 to:
% 29.42/7.61 | (537) $false
% 29.42/7.61 |
% 29.42/7.61 |-The branch is then unsatisfiable
% 29.42/7.61 |-Branch two:
% 29.42/7.61 | (1720) ~ (all_0_256_256 = e11)
% 29.42/7.61 | (1776) all_0_256_256 = e12 | all_0_256_256 = e10
% 29.42/7.61 |
% 29.42/7.61 +-Applying beta-rule and splitting (865), into two cases.
% 29.42/7.61 |-Branch one:
% 29.42/7.61 | (866) all_0_253_253 = e10
% 29.42/7.61 |
% 29.42/7.61 | Equations (866) can reduce 111 to:
% 29.42/7.61 | (334) ~ (all_0_250_250 = e10)
% 29.42/7.61 |
% 29.42/7.61 | Equations (866) can reduce 23 to:
% 29.42/7.61 | (921) ~ (all_0_251_251 = e10)
% 29.42/7.61 |
% 29.42/7.61 | Equations (866) can reduce 2525 to:
% 29.42/7.61 | (906) ~ (e11 = e10)
% 29.42/7.61 |
% 29.42/7.61 | Simplifying 906 yields:
% 29.42/7.61 | (293) ~ (e11 = e10)
% 29.42/7.61 |
% 29.42/7.61 | From (866) and (366) follows:
% 29.42/7.61 | (3049) op1(e10, e12) = all_0_221_221
% 29.42/7.61 |
% 29.42/7.61 +-Applying beta-rule and splitting (1014), into two cases.
% 29.42/7.61 |-Branch one:
% 29.42/7.61 | (1056) all_0_252_252 = e12
% 29.42/7.61 |
% 29.42/7.61 | Combining equations (738,1056) yields a new equation:
% 29.42/7.61 | (772) e12 = e11
% 29.42/7.61 |
% 29.42/7.61 | Equations (772) can reduce 113 to:
% 29.42/7.61 | (537) $false
% 29.42/7.61 |
% 29.42/7.61 |-The branch is then unsatisfiable
% 29.42/7.61 |-Branch two:
% 29.42/7.61 | (1147) ~ (all_0_252_252 = e12)
% 29.42/7.61 | (1676) all_0_256_256 = e12
% 29.42/7.61 |
% 29.42/7.61 | Combining equations (1676,3590) yields a new equation:
% 29.42/7.61 | (1302) all_0_232_232 = e12
% 29.42/7.61 |
% 29.42/7.61 | Equations (1676) can reduce 211 to:
% 29.42/7.61 | (1426) ~ (all_0_254_254 = e12)
% 29.42/7.61 |
% 29.42/7.61 | Equations (1676) can reduce 1720 to:
% 29.42/7.61 | (113) ~ (e12 = e11)
% 29.42/7.61 |
% 29.42/7.61 +-Applying beta-rule and splitting (404), into two cases.
% 29.42/7.61 |-Branch one:
% 29.42/7.61 | (770) all_0_246_246 = e12
% 29.42/7.61 |
% 29.42/7.61 | Combining equations (720,770) yields a new equation:
% 29.42/7.61 | (772) e12 = e11
% 29.42/7.61 |
% 29.42/7.61 | Equations (772) can reduce 113 to:
% 29.42/7.61 | (537) $false
% 29.42/7.61 |
% 29.42/7.61 |-The branch is then unsatisfiable
% 29.42/7.61 |-Branch two:
% 29.42/7.61 | (774) ~ (all_0_246_246 = e12)
% 29.42/7.61 | (1966) all_0_250_250 = e12 | all_0_254_254 = e12
% 29.42/7.61 |
% 29.42/7.61 +-Applying beta-rule and splitting (1966), into two cases.
% 29.42/7.61 |-Branch one:
% 29.42/7.61 | (1152) all_0_250_250 = e12
% 29.42/7.61 |
% 29.42/7.61 | Equations (1152) can reduce 224 to:
% 29.42/7.61 | (4665) ~ (all_0_251_251 = e12)
% 29.42/7.61 |
% 29.42/7.61 | Simplifying 4665 yields:
% 29.42/7.61 | (1010) ~ (all_0_251_251 = e12)
% 29.42/7.61 |
% 29.42/7.61 | Equations (1152) can reduce 378 to:
% 29.42/7.61 | (1425) ~ (all_0_254_254 = e12)
% 29.42/7.61 |
% 29.42/7.61 | Simplifying 1425 yields:
% 29.42/7.61 | (1426) ~ (all_0_254_254 = e12)
% 29.42/7.61 |
% 29.42/7.61 | Equations (1152) can reduce 334 to:
% 29.42/7.61 | (8) ~ (e12 = e10)
% 29.42/7.61 |
% 29.42/7.61 | From (1152) and (103) follows:
% 29.42/7.61 | (1429) op1(e12, e12) = all_0_213_213
% 29.42/7.61 |
% 29.42/7.61 | From (1152) and (173) follows:
% 29.42/7.61 | (1430) op1(e12, e12) = all_0_214_214
% 29.42/7.61 |
% 29.42/7.61 +-Applying beta-rule and splitting (251), into two cases.
% 29.42/7.61 |-Branch one:
% 29.42/7.61 | (795) all_0_254_254 = e13
% 29.42/7.61 |
% 29.42/7.61 | Equations (795) can reduce 1426 to:
% 29.42/7.61 | (305) ~ (e13 = e12)
% 29.42/7.61 |
% 29.42/7.61 | Equations (795) can reduce 142 to:
% 29.42/7.61 | (210) ~ (e13 = e10)
% 29.42/7.61 |
% 29.42/7.61 | From (795) and (450) follows:
% 29.42/7.61 | (2685) op1(e13, e13) = all_0_223_223
% 29.42/7.61 |
% 29.42/7.61 | From (795) and (301) follows:
% 29.42/7.61 | (1514) op1(e13, e11) = all_0_224_224
% 29.42/7.61 |
% 29.42/7.61 +-Applying beta-rule and splitting (214), into two cases.
% 29.42/7.61 |-Branch one:
% 29.42/7.61 | (776) all_0_250_250 = e13
% 29.42/7.61 |
% 29.42/7.61 | Combining equations (1152,776) yields a new equation:
% 29.42/7.61 | (833) e13 = e12
% 29.42/7.61 |
% 29.42/7.61 | Equations (833) can reduce 305 to:
% 29.42/7.61 | (537) $false
% 29.42/7.61 |
% 29.42/7.61 |-The branch is then unsatisfiable
% 29.42/7.61 |-Branch two:
% 29.42/7.61 | (1417) ~ (all_0_250_250 = e13)
% 29.42/7.61 | (1418) all_0_251_251 = e13 | all_0_253_253 = e13
% 29.42/7.61 |
% 29.42/7.61 +-Applying beta-rule and splitting (180), into two cases.
% 29.42/7.61 |-Branch one:
% 29.42/7.61 | (929) all_0_251_251 = e13
% 29.42/7.61 |
% 29.42/7.61 | Equations (929) can reduce 296 to:
% 29.42/7.61 | (1405) ~ (all_0_247_247 = e13)
% 29.42/7.61 |
% 29.42/7.61 | Equations (929) can reduce 1010 to:
% 29.42/7.61 | (305) ~ (e13 = e12)
% 29.42/7.61 |
% 29.42/7.61 | Equations (929) can reduce 108 to:
% 29.42/7.61 | (446) ~ (e13 = e11)
% 29.42/7.61 |
% 29.42/7.61 | Equations (929) can reduce 921 to:
% 29.42/7.61 | (210) ~ (e13 = e10)
% 29.42/7.61 |
% 29.42/7.61 | From (929) and (89) follows:
% 29.42/7.61 | (1449) op1(e12, e12) = e13
% 29.42/7.61 |
% 29.42/7.61 +-Applying beta-rule and splitting (58), into two cases.
% 29.42/7.61 |-Branch one:
% 29.42/7.61 | (1051) all_0_247_247 = e12
% 29.42/7.61 |
% 29.42/7.61 | Equations (1051) can reduce 1405 to:
% 29.42/7.61 | (803) ~ (e13 = e12)
% 29.42/7.61 |
% 29.42/7.61 | Simplifying 803 yields:
% 29.42/7.61 | (305) ~ (e13 = e12)
% 29.42/7.61 |
% 29.42/7.61 | Equations (1051) can reduce 1025 to:
% 29.42/7.61 | (8) ~ (e12 = e10)
% 29.42/7.61 |
% 29.42/7.61 | From (1051) and (230) follows:
% 29.42/7.61 | (1054) op1(e12, e12) = all_0_203_203
% 29.42/7.61 |
% 29.42/7.61 | From (1051) and (213) follows:
% 29.42/7.61 | (2403) op1(e13, e12) = all_0_205_205
% 29.42/7.61 |
% 29.42/7.61 | From (1051) and (62) follows:
% 29.42/7.61 | (2404) op1(e13, e12) = e12
% 29.42/7.61 |
% 29.42/7.61 | Instantiating formula (144) with e13, e13, all_0_210_210, e11 and discharging atoms op1(e13, e13) = all_0_210_210, op1(e13, e13) = e11, yields:
% 29.42/7.61 | (878) all_0_210_210 = e11
% 29.42/7.61 |
% 29.42/7.61 | Instantiating formula (144) with e13, e13, all_0_211_211, all_0_210_210 and discharging atoms op1(e13, e13) = all_0_210_210, op1(e13, e13) = all_0_211_211, yields:
% 29.42/7.61 | (896) all_0_210_210 = all_0_211_211
% 29.42/7.61 |
% 29.42/7.61 | Instantiating formula (144) with e13, e13, all_0_223_223, all_0_210_210 and discharging atoms op1(e13, e13) = all_0_210_210, op1(e13, e13) = all_0_223_223, yields:
% 29.42/7.62 | (4357) all_0_210_210 = all_0_223_223
% 29.42/7.62 |
% 29.42/7.62 | Instantiating formula (144) with e13, e12, e12, all_0_205_205 and discharging atoms op1(e13, e12) = all_0_205_205, op1(e13, e12) = e12, yields:
% 29.42/7.62 | (2082) all_0_205_205 = e12
% 29.42/7.62 |
% 29.42/7.62 | Instantiating formula (144) with e13, e11, e10, all_0_224_224 and discharging atoms op1(e13, e11) = all_0_224_224, op1(e13, e11) = e10, yields:
% 29.42/7.62 | (919) all_0_224_224 = e10
% 29.42/7.62 |
% 29.42/7.62 | Instantiating formula (144) with e12, e12, all_0_213_213, all_0_203_203 and discharging atoms op1(e12, e12) = all_0_203_203, op1(e12, e12) = all_0_213_213, yields:
% 29.42/7.62 | (2424) all_0_203_203 = all_0_213_213
% 29.42/7.62 |
% 29.42/7.62 | Instantiating formula (144) with e12, e12, all_0_214_214, all_0_213_213 and discharging atoms op1(e12, e12) = all_0_213_213, op1(e12, e12) = all_0_214_214, yields:
% 29.42/7.62 | (1542) all_0_213_213 = all_0_214_214
% 29.42/7.62 |
% 29.42/7.62 | Instantiating formula (144) with e12, e12, e13, all_0_203_203 and discharging atoms op1(e12, e12) = all_0_203_203, op1(e12, e12) = e13, yields:
% 29.42/7.62 | (2789) all_0_203_203 = e13
% 29.42/7.62 |
% 29.42/7.62 | Instantiating formula (144) with e10, e13, all_0_207_207, e10 and discharging atoms op1(e10, e13) = all_0_207_207, op1(e10, e13) = e10, yields:
% 29.42/7.62 | (1068) all_0_207_207 = e10
% 29.42/7.62 |
% 29.42/7.62 | Instantiating formula (144) with e10, e12, all_0_221_221, e11 and discharging atoms op1(e10, e12) = all_0_221_221, op1(e10, e12) = e11, yields:
% 29.42/7.62 | (3067) all_0_221_221 = e11
% 29.42/7.62 |
% 29.42/7.62 | Instantiating formula (144) with e10, e11, all_0_206_206, e13 and discharging atoms op1(e10, e11) = all_0_206_206, op1(e10, e11) = e13, yields:
% 29.42/7.62 | (2766) all_0_206_206 = e13
% 29.42/7.62 |
% 29.42/7.62 | Instantiating formula (144) with e10, e11, all_0_227_227, all_0_206_206 and discharging atoms op1(e10, e11) = all_0_206_206, op1(e10, e11) = all_0_227_227, yields:
% 29.42/7.62 | (1545) all_0_206_206 = all_0_227_227
% 29.42/7.62 |
% 29.42/7.62 | Combining equations (2424,2789) yields a new equation:
% 29.42/7.62 | (6116) all_0_213_213 = e13
% 29.42/7.62 |
% 29.42/7.62 | Simplifying 6116 yields:
% 29.42/7.62 | (969) all_0_213_213 = e13
% 29.42/7.62 |
% 29.42/7.62 | Combining equations (2766,1545) yields a new equation:
% 29.42/7.62 | (1329) all_0_227_227 = e13
% 29.42/7.62 |
% 29.42/7.62 | Combining equations (4357,896) yields a new equation:
% 29.42/7.62 | (4367) all_0_211_211 = all_0_223_223
% 29.42/7.62 |
% 29.42/7.62 | Combining equations (878,896) yields a new equation:
% 29.42/7.62 | (897) all_0_211_211 = e11
% 29.42/7.62 |
% 29.42/7.62 | Combining equations (897,4367) yields a new equation:
% 29.42/7.62 | (2951) all_0_223_223 = e11
% 29.42/7.62 |
% 29.42/7.62 | Combining equations (969,1542) yields a new equation:
% 29.42/7.62 | (816) all_0_214_214 = e13
% 29.42/7.62 |
% 29.42/7.62 | Combining equations (2951,4367) yields a new equation:
% 29.42/7.62 | (897) all_0_211_211 = e11
% 29.42/7.62 |
% 29.42/7.62 | Combining equations (897,896) yields a new equation:
% 29.42/7.62 | (878) all_0_210_210 = e11
% 29.42/7.62 |
% 29.42/7.62 +-Applying beta-rule and splitting (257), into two cases.
% 29.42/7.62 |-Branch one:
% 29.42/7.62 | (940) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)) | (all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10))
% 29.42/7.62 |
% 29.42/7.62 +-Applying beta-rule and splitting (940), into two cases.
% 29.42/7.62 |-Branch one:
% 29.42/7.62 | (941) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)) | (all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12))
% 29.42/7.62 |
% 29.42/7.62 +-Applying beta-rule and splitting (941), into two cases.
% 29.42/7.62 |-Branch one:
% 29.42/7.62 | (942) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)) | (all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13))
% 29.42/7.62 |
% 29.42/7.62 +-Applying beta-rule and splitting (942), into two cases.
% 29.42/7.62 |-Branch one:
% 29.42/7.62 | (943) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)) | (all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10))
% 29.42/7.62 |
% 29.42/7.62 +-Applying beta-rule and splitting (943), into two cases.
% 29.42/7.62 |-Branch one:
% 29.42/7.62 | (944) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)) | (all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11))
% 29.42/7.62 |
% 29.42/7.62 +-Applying beta-rule and splitting (944), into two cases.
% 29.42/7.62 |-Branch one:
% 29.42/7.62 | (945) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)) | (all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13))
% 29.42/7.62 |
% 29.42/7.62 +-Applying beta-rule and splitting (945), into two cases.
% 29.42/7.62 |-Branch one:
% 29.42/7.62 | (946) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)) | (all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10))
% 29.42/7.62 |
% 29.42/7.62 +-Applying beta-rule and splitting (946), into two cases.
% 29.42/7.62 |-Branch one:
% 29.42/7.62 | (947) (all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)) | (all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11))
% 29.42/7.62 |
% 29.42/7.62 +-Applying beta-rule and splitting (947), into two cases.
% 29.42/7.62 |-Branch one:
% 29.42/7.62 | (948) all_0_204_204 = e12 & ~ (all_0_203_203 = e13) & ~ (all_0_205_205 = e12)
% 29.42/7.62 |
% 29.42/7.62 | Applying alpha-rule on (948) yields:
% 29.42/7.62 | (949) all_0_204_204 = e12
% 29.42/7.62 | (950) ~ (all_0_203_203 = e13)
% 29.42/7.62 | (951) ~ (all_0_205_205 = e12)
% 29.42/7.62 |
% 29.42/7.62 | Equations (2082) can reduce 951 to:
% 29.42/7.62 | (537) $false
% 29.42/7.62 |
% 29.42/7.62 |-The branch is then unsatisfiable
% 29.42/7.62 |-Branch two:
% 29.42/7.62 | (954) all_0_207_207 = e11 & ~ (all_0_206_206 = e13) & ~ (all_0_208_208 = e11)
% 29.42/7.62 |
% 29.42/7.62 | Applying alpha-rule on (954) yields:
% 29.42/7.62 | (955) all_0_207_207 = e11
% 29.42/7.62 | (956) ~ (all_0_206_206 = e13)
% 29.42/7.62 | (957) ~ (all_0_208_208 = e11)
% 29.42/7.62 |
% 29.42/7.62 | Combining equations (955,1068) yields a new equation:
% 29.42/7.62 | (867) e11 = e10
% 29.42/7.62 |
% 29.42/7.62 | Simplifying 867 yields:
% 29.42/7.62 | (868) e11 = e10
% 29.42/7.62 |
% 29.42/7.62 | Equations (868) can reduce 293 to:
% 29.42/7.62 | (537) $false
% 29.42/7.62 |
% 29.42/7.62 |-The branch is then unsatisfiable
% 29.42/7.62 |-Branch two:
% 29.42/7.62 | (961) all_0_210_210 = e10 & ~ (all_0_209_209 = e13) & ~ (all_0_211_211 = e10)
% 29.42/7.62 |
% 29.42/7.62 | Applying alpha-rule on (961) yields:
% 29.42/7.62 | (962) all_0_210_210 = e10
% 29.42/7.62 | (963) ~ (all_0_209_209 = e13)
% 29.42/7.62 | (964) ~ (all_0_211_211 = e10)
% 29.42/7.62 |
% 29.42/7.62 | Combining equations (962,878) yields a new equation:
% 29.42/7.62 | (868) e11 = e10
% 29.42/7.62 |
% 29.42/7.62 | Equations (868) can reduce 293 to:
% 29.42/7.62 | (537) $false
% 29.42/7.62 |
% 29.42/7.62 |-The branch is then unsatisfiable
% 29.42/7.62 |-Branch two:
% 29.42/7.62 | (968) all_0_213_213 = e13 & ~ (all_0_212_212 = e12) & ~ (all_0_214_214 = e13)
% 29.42/7.62 |
% 29.42/7.62 | Applying alpha-rule on (968) yields:
% 29.42/7.62 | (969) all_0_213_213 = e13
% 29.42/7.62 | (970) ~ (all_0_212_212 = e12)
% 29.42/7.62 | (971) ~ (all_0_214_214 = e13)
% 29.42/7.62 |
% 29.42/7.62 | Equations (816) can reduce 971 to:
% 29.42/7.62 | (537) $false
% 29.42/7.62 |
% 29.42/7.62 |-The branch is then unsatisfiable
% 29.42/7.62 |-Branch two:
% 29.42/7.62 | (974) all_0_218_218 = e11 & ~ (all_0_217_217 = e12) & ~ (all_0_219_219 = e11)
% 29.42/7.62 |
% 29.42/7.62 | Applying alpha-rule on (974) yields:
% 29.42/7.62 | (975) all_0_218_218 = e11
% 29.42/7.62 | (976) ~ (all_0_217_217 = e12)
% 29.42/7.62 | (977) ~ (all_0_219_219 = e11)
% 29.42/7.62 |
% 29.42/7.62 | Combining equations (1067,975) yields a new equation:
% 29.42/7.62 | (868) e11 = e10
% 29.42/7.62 |
% 29.42/7.62 | Equations (868) can reduce 293 to:
% 29.42/7.62 | (537) $false
% 29.42/7.62 |
% 29.42/7.62 |-The branch is then unsatisfiable
% 29.42/7.62 |-Branch two:
% 29.42/7.62 | (979) all_0_221_221 = e10 & ~ (all_0_220_220 = e12) & ~ (all_0_222_222 = e10)
% 29.42/7.62 |
% 29.42/7.62 | Applying alpha-rule on (979) yields:
% 29.42/7.62 | (980) all_0_221_221 = e10
% 29.42/7.62 | (981) ~ (all_0_220_220 = e12)
% 29.42/7.62 | (982) ~ (all_0_222_222 = e10)
% 29.42/7.62 |
% 29.42/7.62 | Combining equations (980,3067) yields a new equation:
% 29.42/7.62 | (868) e11 = e10
% 29.42/7.62 |
% 29.42/7.62 | Equations (868) can reduce 293 to:
% 29.42/7.62 | (537) $false
% 29.42/7.62 |
% 29.42/7.62 |-The branch is then unsatisfiable
% 29.42/7.62 |-Branch two:
% 29.42/7.62 | (986) all_0_224_224 = e13 & ~ (all_0_223_223 = e11) & ~ (all_0_225_225 = e13)
% 29.42/7.62 |
% 29.42/7.62 | Applying alpha-rule on (986) yields:
% 29.42/7.62 | (987) all_0_224_224 = e13
% 29.42/7.62 | (988) ~ (all_0_223_223 = e11)
% 29.42/7.62 | (989) ~ (all_0_225_225 = e13)
% 29.42/7.62 |
% 29.42/7.62 | Combining equations (919,987) yields a new equation:
% 29.42/7.62 | (862) e13 = e10
% 29.42/7.62 |
% 29.42/7.62 | Equations (862) can reduce 210 to:
% 29.42/7.62 | (537) $false
% 29.42/7.62 |
% 29.42/7.62 |-The branch is then unsatisfiable
% 29.42/7.62 |-Branch two:
% 29.42/7.62 | (992) all_0_227_227 = e12 & ~ (all_0_226_226 = e11) & ~ (all_0_228_228 = e12)
% 29.42/7.62 |
% 29.42/7.62 | Applying alpha-rule on (992) yields:
% 29.42/7.62 | (993) all_0_227_227 = e12
% 29.42/7.62 | (994) ~ (all_0_226_226 = e11)
% 29.42/7.62 | (995) ~ (all_0_228_228 = e12)
% 29.42/7.62 |
% 29.42/7.62 | Combining equations (1329,993) yields a new equation:
% 29.42/7.62 | (832) e13 = e12
% 29.42/7.62 |
% 29.42/7.62 | Simplifying 832 yields:
% 29.42/7.62 | (833) e13 = e12
% 29.42/7.62 |
% 29.42/7.62 | Equations (833) can reduce 305 to:
% 29.42/7.62 | (537) $false
% 29.42/7.62 |
% 29.42/7.62 |-The branch is then unsatisfiable
% 29.42/7.62 |-Branch two:
% 29.42/7.62 | (997) all_0_232_232 = e10 & ~ (all_0_231_231 = e11) & ~ (all_0_233_233 = e10)
% 29.42/7.62 |
% 29.42/7.62 | Applying alpha-rule on (997) yields:
% 29.42/7.62 | (998) all_0_232_232 = e10
% 29.42/7.62 | (999) ~ (all_0_231_231 = e11)
% 29.42/7.62 | (1000) ~ (all_0_233_233 = e10)
% 29.42/7.62 |
% 29.42/7.62 | Combining equations (1302,998) yields a new equation:
% 29.42/7.62 | (1159) e12 = e10
% 29.42/7.62 |
% 29.42/7.62 | Simplifying 1159 yields:
% 29.42/7.62 | (952) e12 = e10
% 29.42/7.62 |
% 29.42/7.62 | Equations (952) can reduce 8 to:
% 29.42/7.62 | (537) $false
% 29.42/7.62 |
% 29.42/7.62 |-The branch is then unsatisfiable
% 29.42/7.62 |-Branch two:
% 29.42/7.62 | (1004) all_0_249_249 = e11 & ~ (all_0_248_248 = e10)
% 29.42/7.62 |
% 29.42/7.62 | Applying alpha-rule on (1004) yields:
% 29.42/7.62 | (1005) all_0_249_249 = e11
% 29.42/7.62 | (905) ~ (all_0_248_248 = e10)
% 29.42/7.62 |
% 29.42/7.62 | Combining equations (1005,850) yields a new equation:
% 29.42/7.62 | (959) e13 = e11
% 29.42/7.62 |
% 29.42/7.62 | Equations (959) can reduce 446 to:
% 29.42/7.62 | (537) $false
% 29.42/7.62 |
% 29.42/7.62 |-The branch is then unsatisfiable
% 29.42/7.62 |-Branch two:
% 29.42/7.62 | (1150) ~ (all_0_247_247 = e12)
% 29.42/7.62 | (1151) all_0_251_251 = e12 | all_0_255_255 = e12
% 29.42/7.62 |
% 29.42/7.62 +-Applying beta-rule and splitting (1151), into two cases.
% 29.42/7.62 |-Branch one:
% 29.42/7.62 | (933) all_0_251_251 = e12
% 29.42/7.62 |
% 29.42/7.62 | Combining equations (929,933) yields a new equation:
% 29.42/7.62 | (832) e13 = e12
% 29.42/7.62 |
% 29.42/7.62 | Simplifying 832 yields:
% 29.42/7.62 | (833) e13 = e12
% 29.42/7.62 |
% 29.42/7.62 | Equations (833) can reduce 305 to:
% 29.42/7.62 | (537) $false
% 29.42/7.62 |
% 29.42/7.62 |-The branch is then unsatisfiable
% 29.42/7.62 |-Branch two:
% 29.42/7.62 | (1010) ~ (all_0_251_251 = e12)
% 29.42/7.62 | (1403) all_0_255_255 = e12
% 29.42/7.62 |
% 29.42/7.62 | Combining equations (1403,1178) yields a new equation:
% 29.42/7.62 | (1159) e12 = e10
% 29.42/7.62 |
% 29.42/7.62 | Simplifying 1159 yields:
% 29.42/7.62 | (952) e12 = e10
% 29.42/7.63 |
% 29.42/7.63 | Equations (952) can reduce 8 to:
% 29.42/7.63 | (537) $false
% 29.42/7.63 |
% 29.42/7.63 |-The branch is then unsatisfiable
% 29.42/7.63 |-Branch two:
% 29.42/7.63 | (778) ~ (all_0_251_251 = e13)
% 29.42/7.63 | (932) all_0_251_251 = e12 | all_0_251_251 = e10
% 29.42/7.63 |
% 29.42/7.63 +-Applying beta-rule and splitting (1418), into two cases.
% 29.42/7.63 |-Branch one:
% 29.42/7.63 | (929) all_0_251_251 = e13
% 29.42/7.63 |
% 29.42/7.63 | Equations (929) can reduce 778 to:
% 29.42/7.63 | (537) $false
% 29.42/7.63 |
% 29.42/7.63 |-The branch is then unsatisfiable
% 29.42/7.63 |-Branch two:
% 29.42/7.63 | (778) ~ (all_0_251_251 = e13)
% 29.42/7.63 | (1183) all_0_253_253 = e13
% 29.42/7.63 |
% 29.42/7.63 | Combining equations (866,1183) yields a new equation:
% 29.42/7.63 | (862) e13 = e10
% 29.42/7.63 |
% 29.42/7.63 | Equations (862) can reduce 210 to:
% 29.42/7.63 | (537) $false
% 29.42/7.63 |
% 29.42/7.63 |-The branch is then unsatisfiable
% 29.69/7.63 |-Branch two:
% 29.69/7.63 | (782) ~ (all_0_254_254 = e13)
% 29.69/7.63 | (836) all_0_255_255 = e13 | all_0_257_257 = e13
% 29.69/7.63 |
% 29.69/7.63 +-Applying beta-rule and splitting (77), into two cases.
% 29.69/7.63 |-Branch one:
% 29.69/7.63 | (791) all_0_254_254 = e11
% 29.69/7.63 |
% 29.69/7.63 | Equations (791) can reduce 744 to:
% 29.69/7.63 | (537) $false
% 29.69/7.63 |
% 29.69/7.63 |-The branch is then unsatisfiable
% 29.69/7.63 |-Branch two:
% 29.69/7.63 | (744) ~ (all_0_254_254 = e11)
% 29.69/7.63 | (794) all_0_254_254 = e13 | all_0_254_254 = e12
% 29.69/7.63 |
% 29.69/7.63 +-Applying beta-rule and splitting (794), into two cases.
% 29.69/7.63 |-Branch one:
% 29.69/7.63 | (795) all_0_254_254 = e13
% 29.69/7.63 |
% 29.69/7.63 | Equations (795) can reduce 782 to:
% 29.69/7.63 | (537) $false
% 29.69/7.63 |
% 29.69/7.63 |-The branch is then unsatisfiable
% 29.69/7.63 |-Branch two:
% 29.69/7.63 | (782) ~ (all_0_254_254 = e13)
% 29.69/7.63 | (798) all_0_254_254 = e12
% 29.69/7.63 |
% 29.69/7.63 | Equations (798) can reduce 1426 to:
% 29.69/7.63 | (537) $false
% 29.69/7.63 |
% 29.69/7.63 |-The branch is then unsatisfiable
% 29.69/7.63 |-Branch two:
% 29.69/7.63 | (1156) ~ (all_0_250_250 = e12)
% 29.69/7.63 | (798) all_0_254_254 = e12
% 29.69/7.63 |
% 29.69/7.63 | Equations (798) can reduce 1426 to:
% 29.69/7.63 | (537) $false
% 29.69/7.63 |
% 29.69/7.63 |-The branch is then unsatisfiable
% 29.69/7.63 |-Branch two:
% 29.69/7.63 | (870) ~ (all_0_253_253 = e10)
% 29.69/7.63 | (871) all_0_257_257 = e10
% 29.69/7.63 |
% 29.69/7.63 | Combining equations (1505,871) yields a new equation:
% 29.69/7.63 | (867) e11 = e10
% 29.69/7.63 |
% 29.69/7.63 | Simplifying 867 yields:
% 29.69/7.63 | (868) e11 = e10
% 29.69/7.63 |
% 29.69/7.63 | Equations (868) can reduce 293 to:
% 29.69/7.63 | (537) $false
% 29.69/7.63 |
% 29.69/7.63 |-The branch is then unsatisfiable
% 29.69/7.63 |-Branch two:
% 29.69/7.63 | (1181) ~ (all_0_249_249 = e13)
% 29.69/7.63 | (861) all_0_249_249 = e10
% 29.69/7.63 |
% 29.69/7.63 | Equations (861) can reduce 864 to:
% 29.69/7.63 | (537) $false
% 29.69/7.63 |
% 29.69/7.63 |-The branch is then unsatisfiable
% 29.69/7.63 |-Branch two:
% 29.69/7.63 | (1498) ~ (all_0_255_255 = e10)
% 29.69/7.63 | (1499) all_0_256_256 = e10 | all_0_257_257 = e10
% 29.69/7.63 |
% 29.69/7.63 +-Applying beta-rule and splitting (29), into two cases.
% 29.69/7.63 |-Branch one:
% 29.69/7.63 | (770) all_0_246_246 = e12
% 29.69/7.63 |
% 29.69/7.63 | Combining equations (720,770) yields a new equation:
% 29.69/7.63 | (772) e12 = e11
% 29.69/7.63 |
% 29.69/7.63 | Equations (772) can reduce 113 to:
% 29.69/7.63 | (537) $false
% 29.69/7.63 |
% 29.69/7.63 |-The branch is then unsatisfiable
% 29.69/7.63 |-Branch two:
% 29.69/7.63 | (774) ~ (all_0_246_246 = e12)
% 29.69/7.63 | (775) all_0_247_247 = e12 | all_0_248_248 = e12
% 29.69/7.63 |
% 29.69/7.63 | Equations (720) can reduce 774 to:
% 29.69/7.63 | (698) ~ (e12 = e11)
% 29.69/7.63 |
% 29.69/7.63 | Simplifying 698 yields:
% 29.69/7.63 | (113) ~ (e12 = e11)
% 29.69/7.63 |
% 29.69/7.63 +-Applying beta-rule and splitting (1014), into two cases.
% 29.69/7.63 |-Branch one:
% 29.69/7.63 | (1056) all_0_252_252 = e12
% 29.69/7.63 |
% 29.69/7.63 | Combining equations (738,1056) yields a new equation:
% 29.69/7.63 | (772) e12 = e11
% 29.69/7.63 |
% 29.69/7.63 | Equations (772) can reduce 113 to:
% 29.69/7.63 | (537) $false
% 29.69/7.63 |
% 29.69/7.63 |-The branch is then unsatisfiable
% 29.69/7.63 |-Branch two:
% 29.69/7.63 | (1147) ~ (all_0_252_252 = e12)
% 29.69/7.63 | (1676) all_0_256_256 = e12
% 29.69/7.63 |
% 29.69/7.63 | Equations (1676) can reduce 211 to:
% 29.69/7.63 | (1426) ~ (all_0_254_254 = e12)
% 29.69/7.63 |
% 29.69/7.63 | Equations (1676) can reduce 312 to:
% 29.69/7.63 | (800) ~ (all_0_255_255 = e12)
% 29.69/7.63 |
% 29.69/7.63 +-Applying beta-rule and splitting (237), into two cases.
% 29.69/7.63 |-Branch one:
% 29.69/7.63 | (839) all_0_255_255 = e13
% 29.69/7.63 |
% 29.69/7.63 | Equations (839) can reduce 12 to:
% 29.69/7.63 | (782) ~ (all_0_254_254 = e13)
% 29.69/7.63 |
% 29.69/7.63 +-Applying beta-rule and splitting (77), into two cases.
% 29.69/7.63 |-Branch one:
% 29.69/7.63 | (791) all_0_254_254 = e11
% 29.69/7.63 |
% 29.69/7.63 | Equations (791) can reduce 744 to:
% 29.69/7.63 | (537) $false
% 29.69/7.63 |
% 29.69/7.63 |-The branch is then unsatisfiable
% 29.69/7.63 |-Branch two:
% 29.69/7.63 | (744) ~ (all_0_254_254 = e11)
% 29.69/7.63 | (794) all_0_254_254 = e13 | all_0_254_254 = e12
% 29.69/7.63 |
% 29.69/7.63 +-Applying beta-rule and splitting (794), into two cases.
% 29.69/7.63 |-Branch one:
% 29.69/7.63 | (795) all_0_254_254 = e13
% 29.69/7.63 |
% 29.69/7.63 | Equations (795) can reduce 782 to:
% 29.69/7.63 | (537) $false
% 29.69/7.63 |
% 29.69/7.63 |-The branch is then unsatisfiable
% 29.69/7.63 |-Branch two:
% 29.69/7.63 | (782) ~ (all_0_254_254 = e13)
% 29.69/7.63 | (798) all_0_254_254 = e12
% 29.69/7.63 |
% 29.69/7.63 | Equations (798) can reduce 1426 to:
% 29.69/7.63 | (537) $false
% 29.69/7.63 |
% 29.69/7.63 |-The branch is then unsatisfiable
% 29.69/7.63 |-Branch two:
% 29.69/7.63 | (1189) ~ (all_0_255_255 = e13)
% 29.69/7.63 | (1190) all_0_255_255 = e12 | all_0_255_255 = e10
% 29.69/7.63 |
% 29.69/7.63 +-Applying beta-rule and splitting (1190), into two cases.
% 29.69/7.63 |-Branch one:
% 29.69/7.63 | (1403) all_0_255_255 = e12
% 29.69/7.63 |
% 29.69/7.63 | Equations (1403) can reduce 800 to:
% 29.69/7.63 | (537) $false
% 29.69/7.63 |
% 29.69/7.63 |-The branch is then unsatisfiable
% 29.69/7.63 |-Branch two:
% 29.69/7.63 | (800) ~ (all_0_255_255 = e12)
% 29.69/7.63 | (1178) all_0_255_255 = e10
% 29.69/7.63 |
% 29.69/7.63 | Equations (1178) can reduce 1498 to:
% 29.69/7.63 | (537) $false
% 29.69/7.63 |
% 29.69/7.63 |-The branch is then unsatisfiable
% 29.69/7.63 |-Branch two:
% 29.69/7.63 | (1692) ~ (all_0_246_246 = e11)
% 29.69/7.63 | (1693) all_0_248_248 = e11 | all_0_249_249 = e11
% 29.69/7.63 |
% 29.69/7.63 +-Applying beta-rule and splitting (3536), into two cases.
% 29.69/7.63 |-Branch one:
% 29.69/7.63 | (693) all_0_253_253 = e11
% 29.69/7.63 |
% 29.69/7.63 | Equations (693) can reduce 2525 to:
% 29.69/7.63 | (537) $false
% 29.69/7.63 |
% 29.69/7.63 |-The branch is then unsatisfiable
% 29.69/7.63 |-Branch two:
% 29.69/7.63 | (2525) ~ (all_0_253_253 = e11)
% 29.69/7.63 | (1505) all_0_257_257 = e11
% 29.69/7.63 |
% 29.69/7.63 | Equations (1505) can reduce 61 to:
% 29.69/7.63 | (694) ~ (all_0_249_249 = e11)
% 29.69/7.63 |
% 29.69/7.63 +-Applying beta-rule and splitting (1693), into two cases.
% 29.69/7.63 |-Branch one:
% 29.69/7.63 | (734) all_0_248_248 = e11
% 29.69/7.63 |
% 29.69/7.63 | Equations (734) can reduce 724 to:
% 29.69/7.63 | (537) $false
% 29.69/7.63 |
% 29.69/7.63 |-The branch is then unsatisfiable
% 29.69/7.63 |-Branch two:
% 29.69/7.63 | (724) ~ (all_0_248_248 = e11)
% 29.69/7.63 | (1005) all_0_249_249 = e11
% 29.69/7.63 |
% 29.69/7.63 | Equations (1005) can reduce 694 to:
% 29.69/7.63 | (537) $false
% 29.69/7.63 |
% 29.69/7.63 |-The branch is then unsatisfiable
% 29.69/7.63 |-Branch two:
% 29.69/7.63 | (697) ~ (all_0_252_252 = e11)
% 29.69/7.63 | (693) all_0_253_253 = e11
% 29.69/7.63 |
% 29.69/7.63 | Equations (693) can reduce 2525 to:
% 29.69/7.63 | (537) $false
% 29.69/7.63 |
% 29.69/7.63 |-The branch is then unsatisfiable
% 29.69/7.63 |-Branch two:
% 29.69/7.63 | (6283) ~ (all_0_239_239 = e23)
% 29.69/7.63 | (6284) all_0_243_243 = e23
% 29.69/7.63 |
% 29.69/7.63 | Combining equations (689,6284) yields a new equation:
% 29.69/7.63 | (639) e23 = e22
% 29.69/7.63 |
% 29.69/7.63 | Equations (639) can reduce 449 to:
% 29.69/7.63 | (537) $false
% 29.69/7.63 |
% 29.69/7.63 |-The branch is then unsatisfiable
% 29.69/7.63 |-Branch two:
% 29.69/7.63 | (6287) ~ (all_0_243_243 = e22)
% 29.69/7.63 | (6288) all_0_243_243 = e23 | all_0_243_243 = e20
% 29.69/7.63 |
% 29.69/7.63 +-Applying beta-rule and splitting (6288), into two cases.
% 29.69/7.63 |-Branch one:
% 29.69/7.63 | (6284) all_0_243_243 = e23
% 29.69/7.63 |
% 29.69/7.63 | Equations (6284) can reduce 688 to:
% 29.69/7.63 | (537) $false
% 29.69/7.63 |
% 29.69/7.63 |-The branch is then unsatisfiable
% 29.69/7.63 |-Branch two:
% 29.69/7.63 | (688) ~ (all_0_243_243 = e23)
% 29.69/7.63 | (6292) all_0_243_243 = e20
% 29.69/7.63 |
% 29.69/7.63 | Equations (6292) can reduce 668 to:
% 29.69/7.63 | (537) $false
% 29.69/7.63 |
% 29.69/7.63 |-The branch is then unsatisfiable
% 29.69/7.63 |-Branch two:
% 29.69/7.63 | (6294) ~ (all_0_241_241 = e20)
% 29.69/7.63 | (6295) all_0_245_245 = e20
% 29.69/7.63 |
% 29.69/7.63 | Equations (6295) can reduce 670 to:
% 29.69/7.63 | (537) $false
% 29.69/7.63 |
% 29.69/7.63 |-The branch is then unsatisfiable
% 29.69/7.63 |-Branch two:
% 29.69/7.63 | (6297) ~ (all_0_235_235 = e20)
% 29.69/7.64 | (6298) all_0_236_236 = e20 | all_0_237_237 = e20
% 29.69/7.64 |
% 29.69/7.64 +-Applying beta-rule and splitting (6298), into two cases.
% 29.69/7.64 |-Branch one:
% 29.69/7.64 | (656) all_0_236_236 = e20
% 29.69/7.64 |
% 29.69/7.64 | Combining equations (645,656) yields a new equation:
% 29.69/7.64 | (657) e22 = e20
% 29.69/7.64 |
% 29.69/7.64 | Simplifying 657 yields:
% 29.69/7.64 | (658) e22 = e20
% 29.69/7.64 |
% 29.69/7.64 | Equations (658) can reduce 294 to:
% 29.69/7.64 | (537) $false
% 29.69/7.64 |
% 29.69/7.64 |-The branch is then unsatisfiable
% 29.69/7.64 |-Branch two:
% 29.69/7.64 | (660) ~ (all_0_236_236 = e20)
% 29.69/7.64 | (675) all_0_237_237 = e20
% 29.69/7.64 |
% 29.69/7.64 | Combining equations (523,675) yields a new equation:
% 29.69/7.64 | (663) e21 = e20
% 29.69/7.64 |
% 29.69/7.64 | Simplifying 663 yields:
% 29.69/7.64 | (664) e21 = e20
% 29.69/7.64 |
% 29.69/7.64 | Equations (664) can reduce 401 to:
% 29.69/7.64 | (537) $false
% 29.69/7.64 |
% 29.69/7.64 |-The branch is then unsatisfiable
% 29.69/7.64 |-Branch two:
% 29.69/7.64 | (6308) ~ (all_0_236_236 = e22)
% 29.69/7.64 | (6309) all_0_240_240 = e22 | all_0_244_244 = e22
% 29.69/7.64 |
% 29.69/7.64 +-Applying beta-rule and splitting (311), into two cases.
% 29.69/7.64 |-Branch one:
% 29.69/7.64 | (6310) all_0_234_234 = e22
% 29.69/7.64 |
% 29.69/7.64 | Combining equations (604,6310) yields a new equation:
% 29.69/7.64 | (638) e23 = e22
% 29.69/7.64 |
% 29.69/7.64 | Simplifying 638 yields:
% 29.69/7.64 | (639) e23 = e22
% 29.69/7.64 |
% 29.69/7.64 | Equations (639) can reduce 449 to:
% 29.69/7.64 | (537) $false
% 29.69/7.64 |
% 29.69/7.64 |-The branch is then unsatisfiable
% 29.69/7.64 |-Branch two:
% 29.69/7.64 | (6314) ~ (all_0_234_234 = e22)
% 29.69/7.64 | (6315) all_0_235_235 = e22 | all_0_236_236 = e22
% 29.69/7.64 |
% 29.69/7.64 +-Applying beta-rule and splitting (6315), into two cases.
% 29.69/7.64 |-Branch one:
% 29.69/7.64 | (647) all_0_235_235 = e22
% 29.69/7.64 |
% 29.69/7.64 | Equations (647) can reduce 415 to:
% 29.69/7.64 | (6317) ~ (all_0_239_239 = e22)
% 29.69/7.64 |
% 29.69/7.64 | Simplifying 6317 yields:
% 29.69/7.64 | (6318) ~ (all_0_239_239 = e22)
% 29.69/7.64 |
% 29.69/7.64 | Equations (647) can reduce 416 to:
% 29.69/7.64 | (92) ~ (e22 = e21)
% 29.69/7.64 |
% 29.69/7.64 | From (647) and (313) follows:
% 29.69/7.64 | (6320) op2(e23, e22) = all_0_136_136
% 29.69/7.64 |
% 29.69/7.64 | From (647) and (436) follows:
% 29.69/7.64 | (6321) op2(e23, e22) = e22
% 29.69/7.64 |
% 29.69/7.64 +-Applying beta-rule and splitting (254), into two cases.
% 29.69/7.64 |-Branch one:
% 29.69/7.64 | (6322) all_0_242_242 = e22
% 29.69/7.64 |
% 29.69/7.64 | Combining equations (500,6322) yields a new equation:
% 29.69/7.64 | (6323) e22 = e21
% 29.69/7.64 |
% 29.69/7.64 | Equations (6323) can reduce 92 to:
% 29.69/7.64 | (537) $false
% 29.69/7.64 |
% 29.69/7.64 |-The branch is then unsatisfiable
% 29.69/7.64 |-Branch two:
% 29.69/7.64 | (6325) ~ (all_0_242_242 = e22)
% 29.69/7.64 | (6326) all_0_243_243 = e22 | all_0_244_244 = e22
% 29.69/7.64 |
% 29.69/7.64 | Equations (500) can reduce 6325 to:
% 29.69/7.64 | (530) ~ (e22 = e21)
% 29.69/7.64 |
% 29.69/7.64 | Simplifying 530 yields:
% 29.69/7.64 | (92) ~ (e22 = e21)
% 29.69/7.64 |
% 29.69/7.64 +-Applying beta-rule and splitting (157), into two cases.
% 29.69/7.64 |-Branch one:
% 29.69/7.64 | (651) all_0_235_235 = e20
% 29.69/7.64 |
% 29.69/7.64 | Combining equations (647,651) yields a new equation:
% 29.69/7.64 | (657) e22 = e20
% 29.69/7.64 |
% 29.69/7.64 | Simplifying 657 yields:
% 29.69/7.64 | (658) e22 = e20
% 29.69/7.64 |
% 29.69/7.64 | Equations (658) can reduce 294 to:
% 29.69/7.64 | (537) $false
% 29.69/7.64 |
% 29.69/7.64 |-The branch is then unsatisfiable
% 29.69/7.64 |-Branch two:
% 29.69/7.64 | (6297) ~ (all_0_235_235 = e20)
% 29.69/7.64 | (6298) all_0_236_236 = e20 | all_0_237_237 = e20
% 29.69/7.64 |
% 29.69/7.64 +-Applying beta-rule and splitting (6309), into two cases.
% 29.69/7.64 |-Branch one:
% 29.69/7.64 | (6335) all_0_240_240 = e22
% 29.69/7.64 |
% 29.69/7.64 | Combining equations (540,6335) yields a new equation:
% 29.69/7.64 | (6323) e22 = e21
% 29.69/7.64 |
% 29.69/7.64 | Equations (6323) can reduce 92 to:
% 29.69/7.64 | (537) $false
% 29.69/7.64 |
% 29.69/7.64 |-The branch is then unsatisfiable
% 29.69/7.64 |-Branch two:
% 29.69/7.64 | (6338) ~ (all_0_240_240 = e22)
% 29.69/7.64 | (6339) all_0_244_244 = e22
% 29.69/7.64 |
% 29.69/7.64 | Combining equations (6339,517) yields a new equation:
% 29.69/7.64 | (6340) all_0_155_155 = e22
% 29.69/7.64 |
% 29.69/7.64 | Equations (6339) can reduce 225 to:
% 29.69/7.64 | (6308) ~ (all_0_236_236 = e22)
% 29.69/7.64 |
% 29.69/7.64 | Equations (6339) can reduce 362 to:
% 29.69/7.64 | (6287) ~ (all_0_243_243 = e22)
% 29.69/7.64 |
% 29.69/7.64 | Equations (6339) can reduce 145 to:
% 29.69/7.64 | (6343) ~ (all_0_245_245 = e22)
% 29.69/7.64 |
% 29.69/7.64 | Simplifying 6343 yields:
% 29.69/7.64 | (439) ~ (all_0_245_245 = e22)
% 29.69/7.64 |
% 29.69/7.64 | From (6339) and (128) follows:
% 29.69/7.64 | (6345) op2(all_0_161_161, e22) = all_0_72_72
% 29.69/7.64 |
% 29.69/7.64 | From (6339) and (267) follows:
% 29.69/7.64 | (6346) op2(e21, e22) = all_0_161_161
% 29.69/7.64 |
% 29.69/7.64 +-Applying beta-rule and splitting (6298), into two cases.
% 29.69/7.64 |-Branch one:
% 29.69/7.64 | (656) all_0_236_236 = e20
% 29.69/7.64 |
% 29.69/7.64 | Equations (656) can reduce 6308 to:
% 29.69/7.64 | (652) ~ (e22 = e20)
% 29.69/7.64 |
% 29.69/7.64 | Simplifying 652 yields:
% 29.69/7.64 | (294) ~ (e22 = e20)
% 29.69/7.64 |
% 29.69/7.64 | From (656) and (285) follows:
% 29.69/7.64 | (6350) op2(e20, e23) = all_0_138_138
% 29.69/7.64 |
% 29.69/7.64 | From (656) and (132) follows:
% 29.69/7.64 | (6351) op2(e20, e21) = all_0_137_137
% 29.69/7.64 |
% 29.69/7.64 | From (656) and (81) follows:
% 29.69/7.64 | (6352) op2(e23, e20) = all_0_139_139
% 29.69/7.64 |
% 29.69/7.64 | From (656) and (451) follows:
% 29.69/7.65 | (6353) op2(e23, e21) = e20
% 29.69/7.65 |
% 29.69/7.65 | Instantiating formula (340) with e23, e22, e22, all_0_136_136 and discharging atoms op2(e23, e22) = all_0_136_136, op2(e23, e22) = e22, yields:
% 29.69/7.65 | (6354) all_0_136_136 = e22
% 29.69/7.65 |
% 29.69/7.65 | Instantiating formula (340) with e23, e20, all_0_139_139, e21 and discharging atoms op2(e23, e20) = all_0_139_139, op2(e23, e20) = e21, yields:
% 29.69/7.65 | (6355) all_0_139_139 = e21
% 29.69/7.65 |
% 29.69/7.65 | Instantiating formula (340) with e21, e22, all_0_161_161, all_0_243_243 and discharging atoms op2(e21, e22) = all_0_161_161, op2(e21, e22) = all_0_243_243, yields:
% 29.69/7.65 | (6356) all_0_161_161 = all_0_243_243
% 29.69/7.65 |
% 29.69/7.65 | Instantiating formula (340) with e20, e23, all_0_138_138, e20 and discharging atoms op2(e20, e23) = all_0_138_138, op2(e20, e23) = e20, yields:
% 29.69/7.65 | (6357) all_0_138_138 = e20
% 29.69/7.65 |
% 29.69/7.65 | Instantiating formula (340) with e20, e21, all_0_137_137, e23 and discharging atoms op2(e20, e21) = all_0_137_137, op2(e20, e21) = e23, yields:
% 29.69/7.65 | (6358) all_0_137_137 = e23
% 29.69/7.65 |
% 29.69/7.65 | From (6356) and (6345) follows:
% 29.69/7.65 | (6359) op2(all_0_243_243, e22) = all_0_72_72
% 29.69/7.65 |
% 29.69/7.65 | From (6356) and (71) follows:
% 29.69/7.65 | (6360) op2(all_0_243_243, e21) = all_0_76_76
% 29.69/7.65 |
% 29.69/7.65 | From (6354) and (6320) follows:
% 29.69/7.65 | (6321) op2(e23, e22) = e22
% 29.69/7.65 |
% 29.69/7.65 | From (6355) and (6352) follows:
% 29.69/7.65 | (534) op2(e23, e20) = e21
% 29.69/7.65 |
% 29.69/7.65 | From (6358) and (6351) follows:
% 29.69/7.65 | (323) op2(e20, e21) = e23
% 29.69/7.65 |
% 29.69/7.65 | Instantiating formula (340) with all_0_243_243, e22, all_0_72_72, all_0_157_157 and discharging atoms op2(all_0_243_243, e22) = all_0_72_72, op2(all_0_243_243, e22) = all_0_157_157, yields:
% 29.69/7.65 | (6364) all_0_72_72 = all_0_157_157
% 29.69/7.65 |
% 29.69/7.65 | Instantiating formula (340) with all_0_243_243, e21, all_0_76_76, all_0_158_158 and discharging atoms op2(all_0_243_243, e21) = all_0_76_76, op2(all_0_243_243, e21) = all_0_158_158, yields:
% 29.69/7.65 | (6365) all_0_76_76 = all_0_158_158
% 29.69/7.65 |
% 29.69/7.65 | From (6364) and (6359) follows:
% 29.69/7.65 | (373) op2(all_0_243_243, e22) = all_0_157_157
% 29.69/7.65 |
% 29.69/7.65 | From (6365) and (6360) follows:
% 29.69/7.65 | (258) op2(all_0_243_243, e21) = all_0_158_158
% 29.69/7.65 |
% 29.69/7.65 +-Applying beta-rule and splitting (394), into two cases.
% 29.69/7.65 |-Branch one:
% 29.69/7.65 | (689) all_0_243_243 = e22
% 29.69/7.65 |
% 29.69/7.65 | Equations (689) can reduce 6287 to:
% 29.69/7.65 | (537) $false
% 29.69/7.65 |
% 29.69/7.65 |-The branch is then unsatisfiable
% 29.69/7.65 |-Branch two:
% 29.69/7.65 | (6287) ~ (all_0_243_243 = e22)
% 29.69/7.65 | (6288) all_0_243_243 = e23 | all_0_243_243 = e20
% 29.69/7.65 |
% 29.69/7.65 +-Applying beta-rule and splitting (82), into two cases.
% 29.69/7.65 |-Branch one:
% 29.69/7.65 | (6372) all_0_239_239 = e22
% 29.69/7.65 |
% 29.69/7.65 | Equations (6372) can reduce 6318 to:
% 29.69/7.65 | (537) $false
% 29.69/7.65 |
% 29.69/7.65 |-The branch is then unsatisfiable
% 29.69/7.65 |-Branch two:
% 29.69/7.65 | (6318) ~ (all_0_239_239 = e22)
% 29.69/7.65 | (6375) all_0_239_239 = e23 | all_0_239_239 = e20
% 29.69/7.65 |
% 29.69/7.65 +-Applying beta-rule and splitting (188), into two cases.
% 29.69/7.65 |-Branch one:
% 29.69/7.65 | (6292) all_0_243_243 = e20
% 29.69/7.65 |
% 29.69/7.65 | Combining equations (6292,556) yields a new equation:
% 29.69/7.65 | (6377) all_0_149_149 = e20
% 29.69/7.65 |
% 29.69/7.65 | Equations (6292) can reduce 32 to:
% 29.69/7.65 | (6378) ~ (all_0_239_239 = e20)
% 29.69/7.65 |
% 29.69/7.65 | Equations (6292) can reduce 74 to:
% 29.69/7.65 | (654) ~ (e21 = e20)
% 29.69/7.65 |
% 29.69/7.65 | Simplifying 654 yields:
% 29.69/7.65 | (401) ~ (e21 = e20)
% 29.69/7.65 |
% 29.69/7.65 | From (6292) and (373) follows:
% 29.69/7.65 | (6381) op2(e20, e22) = all_0_157_157
% 29.69/7.65 |
% 29.69/7.65 | From (6292) and (258) follows:
% 29.69/7.65 | (6382) op2(e20, e21) = all_0_158_158
% 29.69/7.65 |
% 29.69/7.65 +-Applying beta-rule and splitting (452), into two cases.
% 29.69/7.65 |-Branch one:
% 29.69/7.65 | (675) all_0_237_237 = e20
% 29.69/7.65 |
% 29.69/7.65 | Combining equations (675,523) yields a new equation:
% 29.69/7.65 | (664) e21 = e20
% 29.69/7.65 |
% 29.69/7.65 | Equations (664) can reduce 401 to:
% 29.69/7.65 | (537) $false
% 29.69/7.65 |
% 29.69/7.65 |-The branch is then unsatisfiable
% 29.69/7.65 |-Branch two:
% 29.69/7.65 | (679) ~ (all_0_237_237 = e20)
% 29.69/7.65 | (680) all_0_241_241 = e20 | all_0_245_245 = e20
% 29.69/7.65 |
% 29.69/7.65 | Equations (523) can reduce 679 to:
% 29.69/7.65 | (401) ~ (e21 = e20)
% 29.69/7.65 |
% 29.69/7.65 +-Applying beta-rule and splitting (234), into two cases.
% 29.69/7.65 |-Branch one:
% 29.69/7.65 | (6389) all_0_239_239 = e20
% 29.69/7.65 |
% 29.69/7.65 | Equations (6389) can reduce 6378 to:
% 29.69/7.65 | (537) $false
% 29.69/7.65 |
% 29.69/7.65 |-The branch is then unsatisfiable
% 29.69/7.65 |-Branch two:
% 29.69/7.65 | (6378) ~ (all_0_239_239 = e20)
% 29.69/7.65 | (6392) all_0_240_240 = e20 | all_0_241_241 = e20
% 29.69/7.65 |
% 29.69/7.65 +-Applying beta-rule and splitting (6375), into two cases.
% 29.69/7.65 |-Branch one:
% 29.69/7.65 | (692) all_0_239_239 = e23
% 29.69/7.65 |
% 29.69/7.65 | Combining equations (692,627) yields a new equation:
% 29.69/7.66 | (6394) all_0_145_145 = e23
% 29.69/7.66 |
% 29.69/7.66 | Equations (692) can reduce 379 to:
% 29.69/7.66 | (6395) ~ (all_0_241_241 = e23)
% 29.69/7.66 |
% 29.69/7.66 | Simplifying 6395 yields:
% 29.69/7.66 | (686) ~ (all_0_241_241 = e23)
% 29.69/7.66 |
% 29.69/7.66 +-Applying beta-rule and splitting (6392), into two cases.
% 29.69/7.66 |-Branch one:
% 29.69/7.66 | (662) all_0_240_240 = e20
% 29.69/7.66 |
% 29.69/7.66 | Combining equations (540,662) yields a new equation:
% 29.69/7.66 | (663) e21 = e20
% 29.69/7.66 |
% 29.69/7.66 | Simplifying 663 yields:
% 29.69/7.66 | (664) e21 = e20
% 29.69/7.66 |
% 29.69/7.66 | Equations (664) can reduce 401 to:
% 29.69/7.66 | (537) $false
% 29.69/7.66 |
% 29.69/7.66 |-The branch is then unsatisfiable
% 29.69/7.66 |-Branch two:
% 29.69/7.66 | (666) ~ (all_0_240_240 = e20)
% 29.69/7.66 | (681) all_0_241_241 = e20
% 29.69/7.66 |
% 29.69/7.66 | Equations (681) can reduce 686 to:
% 29.69/7.66 | (671) ~ (e23 = e20)
% 29.69/7.66 |
% 29.69/7.66 | Simplifying 671 yields:
% 29.69/7.66 | (14) ~ (e23 = e20)
% 29.69/7.66 |
% 29.69/7.66 | Equations (681) can reduce 527 to:
% 29.69/7.66 | (654) ~ (e21 = e20)
% 29.69/7.66 |
% 29.69/7.66 | Simplifying 654 yields:
% 29.69/7.66 | (401) ~ (e21 = e20)
% 29.69/7.66 |
% 29.69/7.66 | From (681) and (463) follows:
% 29.69/7.66 | (6407) op2(e20, e22) = all_0_152_152
% 29.69/7.66 |
% 29.69/7.66 +-Applying beta-rule and splitting (593), into two cases.
% 29.69/7.66 |-Branch one:
% 29.69/7.66 | (682) all_0_241_241 = e23
% 29.69/7.66 |
% 29.69/7.66 | Combining equations (681,682) yields a new equation:
% 29.69/7.66 | (684) e23 = e20
% 29.69/7.66 |
% 29.69/7.66 | Equations (684) can reduce 14 to:
% 29.69/7.66 | (537) $false
% 29.69/7.66 |
% 29.69/7.66 |-The branch is then unsatisfiable
% 29.69/7.66 |-Branch two:
% 29.69/7.66 | (686) ~ (all_0_241_241 = e23)
% 29.69/7.66 | (687) all_0_245_245 = e23
% 29.69/7.66 |
% 29.69/7.66 | Equations (687) can reduce 439 to:
% 29.69/7.66 | (449) ~ (e23 = e22)
% 29.69/7.66 |
% 29.69/7.66 | From (687) and (57) follows:
% 29.69/7.66 | (6414) op2(e23, e20) = all_0_162_162
% 29.69/7.66 |
% 29.69/7.66 | Instantiating formula (340) with e23, e20, all_0_162_162, e21 and discharging atoms op2(e23, e20) = all_0_162_162, op2(e23, e20) = e21, yields:
% 29.69/7.66 | (6415) all_0_162_162 = e21
% 29.69/7.66 |
% 29.69/7.66 | Instantiating formula (340) with e20, e22, all_0_152_152, e21 and discharging atoms op2(e20, e22) = all_0_152_152, op2(e20, e22) = e21, yields:
% 29.69/7.66 | (6416) all_0_152_152 = e21
% 29.69/7.66 |
% 29.69/7.66 | Instantiating formula (340) with e20, e22, all_0_157_157, all_0_152_152 and discharging atoms op2(e20, e22) = all_0_152_152, op2(e20, e22) = all_0_157_157, yields:
% 29.69/7.66 | (6417) all_0_152_152 = all_0_157_157
% 29.69/7.66 |
% 29.69/7.66 | Instantiating formula (340) with e20, e21, all_0_158_158, e23 and discharging atoms op2(e20, e21) = all_0_158_158, op2(e20, e21) = e23, yields:
% 29.69/7.66 | (6418) all_0_158_158 = e23
% 29.69/7.66 |
% 29.69/7.66 | Combining equations (6416,6417) yields a new equation:
% 29.69/7.66 | (6419) all_0_157_157 = e21
% 29.69/7.66 |
% 29.69/7.66 | Combining equations (6419,6417) yields a new equation:
% 29.69/7.66 | (6416) all_0_152_152 = e21
% 29.69/7.66 |
% 29.69/7.66 +-Applying beta-rule and splitting (69), into two cases.
% 29.69/7.66 |-Branch one:
% 29.69/7.66 | (6421) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)) | (all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20))
% 29.69/7.66 |
% 29.69/7.66 +-Applying beta-rule and splitting (6421), into two cases.
% 29.69/7.66 |-Branch one:
% 29.69/7.66 | (6422) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22))
% 29.69/7.66 |
% 29.69/7.66 +-Applying beta-rule and splitting (6422), into two cases.
% 29.69/7.66 |-Branch one:
% 29.69/7.66 | (6423) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23))
% 29.69/7.66 |
% 29.69/7.66 +-Applying beta-rule and splitting (6423), into two cases.
% 29.69/7.66 |-Branch one:
% 29.69/7.66 | (6424) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20))
% 29.69/7.66 |
% 29.69/7.66 +-Applying beta-rule and splitting (6424), into two cases.
% 29.69/7.66 |-Branch one:
% 29.69/7.66 | (6425) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21))
% 29.69/7.66 |
% 29.69/7.66 +-Applying beta-rule and splitting (6425), into two cases.
% 29.69/7.66 |-Branch one:
% 29.69/7.66 | (6426) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23))
% 29.69/7.66 |
% 29.69/7.66 +-Applying beta-rule and splitting (6426), into two cases.
% 29.69/7.66 |-Branch one:
% 29.69/7.66 | (6427) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20))
% 29.69/7.66 |
% 29.69/7.66 +-Applying beta-rule and splitting (6427), into two cases.
% 29.69/7.66 |-Branch one:
% 29.69/7.66 | (6428) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21))
% 29.69/7.66 |
% 29.69/7.66 +-Applying beta-rule and splitting (6428), into two cases.
% 29.69/7.66 |-Branch one:
% 29.69/7.66 | (6429) all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)
% 29.69/7.66 |
% 29.69/7.66 | Applying alpha-rule on (6429) yields:
% 29.69/7.66 | (6430) all_0_135_135 = e22
% 29.69/7.66 | (6431) ~ (all_0_134_134 = e23)
% 29.69/7.66 | (6432) ~ (all_0_136_136 = e22)
% 29.69/7.66 |
% 29.69/7.66 | Equations (6354) can reduce 6432 to:
% 29.69/7.66 | (537) $false
% 29.69/7.66 |
% 29.69/7.66 |-The branch is then unsatisfiable
% 29.69/7.66 |-Branch two:
% 29.69/7.66 | (6434) all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)
% 29.69/7.66 |
% 29.69/7.67 | Applying alpha-rule on (6434) yields:
% 29.69/7.67 | (6435) all_0_138_138 = e21
% 29.69/7.67 | (6436) ~ (all_0_137_137 = e23)
% 29.69/7.67 | (6437) ~ (all_0_139_139 = e21)
% 29.69/7.67 |
% 29.69/7.67 | Combining equations (6435,6357) yields a new equation:
% 29.69/7.67 | (663) e21 = e20
% 29.69/7.67 |
% 29.69/7.67 | Simplifying 663 yields:
% 29.69/7.67 | (664) e21 = e20
% 29.69/7.67 |
% 29.69/7.67 | Equations (664) can reduce 401 to:
% 29.69/7.67 | (537) $false
% 29.69/7.67 |
% 29.69/7.67 |-The branch is then unsatisfiable
% 29.69/7.67 |-Branch two:
% 29.69/7.67 | (6441) all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)
% 29.69/7.67 |
% 29.69/7.67 | Applying alpha-rule on (6441) yields:
% 29.69/7.67 | (6442) all_0_141_141 = e20
% 29.69/7.67 | (6443) ~ (all_0_140_140 = e23)
% 29.69/7.67 | (6444) ~ (all_0_142_142 = e20)
% 29.69/7.67 |
% 29.69/7.67 | Combining equations (6442,555) yields a new equation:
% 29.69/7.67 | (664) e21 = e20
% 29.69/7.67 |
% 29.69/7.67 | Equations (664) can reduce 401 to:
% 29.69/7.67 | (537) $false
% 29.69/7.67 |
% 29.69/7.67 |-The branch is then unsatisfiable
% 29.69/7.67 |-Branch two:
% 29.69/7.67 | (6447) all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)
% 29.69/7.67 |
% 29.69/7.67 | Applying alpha-rule on (6447) yields:
% 29.69/7.67 | (6448) all_0_144_144 = e23
% 29.69/7.67 | (6449) ~ (all_0_143_143 = e22)
% 29.69/7.67 | (6450) ~ (all_0_145_145 = e23)
% 29.69/7.67 |
% 29.69/7.67 | Equations (6394) can reduce 6450 to:
% 29.69/7.67 | (537) $false
% 29.69/7.67 |
% 29.69/7.67 |-The branch is then unsatisfiable
% 29.69/7.67 |-Branch two:
% 29.69/7.67 | (6452) all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)
% 29.69/7.67 |
% 29.69/7.67 | Applying alpha-rule on (6452) yields:
% 29.69/7.67 | (6453) all_0_149_149 = e21
% 29.69/7.67 | (6454) ~ (all_0_148_148 = e22)
% 29.69/7.67 | (6455) ~ (all_0_150_150 = e21)
% 29.69/7.67 |
% 29.69/7.67 | Combining equations (6377,6453) yields a new equation:
% 29.69/7.67 | (664) e21 = e20
% 29.69/7.67 |
% 29.69/7.67 | Equations (664) can reduce 401 to:
% 29.69/7.67 | (537) $false
% 29.69/7.67 |
% 29.69/7.67 |-The branch is then unsatisfiable
% 29.69/7.67 |-Branch two:
% 29.69/7.67 | (6458) all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)
% 29.69/7.67 |
% 29.69/7.67 | Applying alpha-rule on (6458) yields:
% 29.69/7.67 | (6459) all_0_152_152 = e20
% 29.69/7.67 | (6460) ~ (all_0_151_151 = e22)
% 29.69/7.67 | (6461) ~ (all_0_153_153 = e20)
% 29.69/7.67 |
% 29.69/7.67 | Combining equations (6416,6459) yields a new equation:
% 29.69/7.67 | (663) e21 = e20
% 29.69/7.67 |
% 29.69/7.67 | Simplifying 663 yields:
% 29.69/7.67 | (664) e21 = e20
% 29.69/7.67 |
% 29.69/7.67 | Equations (664) can reduce 401 to:
% 29.69/7.67 | (537) $false
% 29.69/7.67 |
% 29.69/7.67 |-The branch is then unsatisfiable
% 29.69/7.67 |-Branch two:
% 29.69/7.67 | (6465) all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)
% 29.69/7.67 |
% 29.69/7.67 | Applying alpha-rule on (6465) yields:
% 29.69/7.67 | (6466) all_0_155_155 = e23
% 29.69/7.67 | (6467) ~ (all_0_154_154 = e21)
% 29.69/7.67 | (6468) ~ (all_0_156_156 = e23)
% 29.69/7.67 |
% 29.69/7.67 | Combining equations (6340,6466) yields a new equation:
% 29.69/7.67 | (639) e23 = e22
% 29.69/7.67 |
% 29.69/7.67 | Equations (639) can reduce 449 to:
% 29.69/7.67 | (537) $false
% 29.69/7.67 |
% 29.69/7.67 |-The branch is then unsatisfiable
% 29.69/7.67 |-Branch two:
% 29.69/7.67 | (6471) all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)
% 29.69/7.67 |
% 29.69/7.67 | Applying alpha-rule on (6471) yields:
% 29.69/7.67 | (6472) all_0_158_158 = e22
% 29.69/7.68 | (6473) ~ (all_0_157_157 = e21)
% 29.69/7.68 | (6474) ~ (all_0_159_159 = e22)
% 29.69/7.68 |
% 29.69/7.68 | Combining equations (6418,6472) yields a new equation:
% 29.69/7.68 | (638) e23 = e22
% 29.69/7.68 |
% 29.69/7.68 | Simplifying 638 yields:
% 29.69/7.68 | (639) e23 = e22
% 29.69/7.68 |
% 29.69/7.68 | Equations (639) can reduce 449 to:
% 29.69/7.68 | (537) $false
% 29.69/7.68 |
% 29.69/7.68 |-The branch is then unsatisfiable
% 29.69/7.68 |-Branch two:
% 29.69/7.68 | (6478) all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20)
% 29.69/7.68 |
% 29.69/7.68 | Applying alpha-rule on (6478) yields:
% 29.69/7.68 | (6479) all_0_163_163 = e20
% 29.69/7.68 | (6480) ~ (all_0_162_162 = e21)
% 29.69/7.68 | (6481) ~ (all_0_164_164 = e20)
% 29.69/7.68 |
% 29.69/7.68 | Equations (6415) can reduce 6480 to:
% 29.69/7.68 | (537) $false
% 29.69/7.68 |
% 29.69/7.68 |-The branch is then unsatisfiable
% 29.69/7.68 |-Branch two:
% 29.69/7.68 | (6483) all_0_237_237 = e21 & ~ (all_0_236_236 = e20)
% 29.69/7.68 |
% 29.69/7.68 | Applying alpha-rule on (6483) yields:
% 29.69/7.68 | (523) all_0_237_237 = e21
% 29.69/7.68 | (660) ~ (all_0_236_236 = e20)
% 29.69/7.68 |
% 29.69/7.68 | Equations (656) can reduce 660 to:
% 29.69/7.68 | (537) $false
% 29.69/7.68 |
% 29.69/7.68 |-The branch is then unsatisfiable
% 29.69/7.68 |-Branch two:
% 29.69/7.68 | (6283) ~ (all_0_239_239 = e23)
% 29.69/7.68 | (6389) all_0_239_239 = e20
% 29.69/7.68 |
% 29.69/7.68 | Equations (6389) can reduce 6378 to:
% 29.69/7.68 | (537) $false
% 29.69/7.68 |
% 29.69/7.68 |-The branch is then unsatisfiable
% 29.91/7.68 |-Branch two:
% 29.91/7.68 | (668) ~ (all_0_243_243 = e20)
% 29.91/7.68 | (6491) all_0_244_244 = e20 | all_0_245_245 = e20
% 29.91/7.68 |
% 29.91/7.68 +-Applying beta-rule and splitting (365), into two cases.
% 29.91/7.68 |-Branch one:
% 29.91/7.68 | (651) all_0_235_235 = e20
% 29.91/7.68 |
% 29.91/7.68 | Combining equations (647,651) yields a new equation:
% 29.91/7.68 | (657) e22 = e20
% 29.91/7.68 |
% 29.91/7.68 | Simplifying 657 yields:
% 29.91/7.68 | (658) e22 = e20
% 29.91/7.68 |
% 29.91/7.68 | Equations (658) can reduce 294 to:
% 29.91/7.68 | (537) $false
% 29.91/7.68 |
% 29.91/7.68 |-The branch is then unsatisfiable
% 29.91/7.68 |-Branch two:
% 29.91/7.68 | (6297) ~ (all_0_235_235 = e20)
% 29.91/7.68 | (6497) all_0_239_239 = e20 | all_0_243_243 = e20
% 29.91/7.68 |
% 29.91/7.68 +-Applying beta-rule and splitting (6288), into two cases.
% 29.91/7.68 |-Branch one:
% 29.91/7.68 | (6284) all_0_243_243 = e23
% 29.91/7.68 |
% 29.91/7.68 | Combining equations (6284,556) yields a new equation:
% 29.91/7.68 | (6499) all_0_149_149 = e23
% 29.91/7.68 |
% 29.91/7.68 | Equations (6284) can reduce 154 to:
% 29.91/7.68 | (6500) ~ (all_0_245_245 = e23)
% 29.91/7.68 |
% 29.91/7.68 | Simplifying 6500 yields:
% 29.91/7.68 | (6501) ~ (all_0_245_245 = e23)
% 29.91/7.68 |
% 29.91/7.68 | Equations (6284) can reduce 668 to:
% 29.91/7.68 | (14) ~ (e23 = e20)
% 29.91/7.68 |
% 29.91/7.68 | From (6284) and (373) follows:
% 29.91/7.68 | (6503) op2(e23, e22) = all_0_157_157
% 29.91/7.68 |
% 29.91/7.68 | From (6284) and (258) follows:
% 29.91/7.68 | (6504) op2(e23, e21) = all_0_158_158
% 29.91/7.68 |
% 29.91/7.68 +-Applying beta-rule and splitting (6497), into two cases.
% 29.91/7.68 |-Branch one:
% 29.91/7.68 | (6389) all_0_239_239 = e20
% 29.91/7.68 |
% 29.91/7.68 | Combining equations (6389,622) yields a new equation:
% 29.91/7.68 | (6506) all_0_144_144 = e20
% 29.91/7.68 |
% 29.91/7.68 | Equations (6389) can reduce 6318 to:
% 29.91/7.68 | (652) ~ (e22 = e20)
% 29.91/7.68 |
% 29.91/7.68 | Simplifying 652 yields:
% 29.91/7.68 | (294) ~ (e22 = e20)
% 29.91/7.68 |
% 29.91/7.68 +-Applying beta-rule and splitting (6491), into two cases.
% 29.91/7.68 |-Branch one:
% 29.91/7.68 | (667) all_0_244_244 = e20
% 29.91/7.68 |
% 29.91/7.68 | Combining equations (667,6339) yields a new equation:
% 29.91/7.68 | (658) e22 = e20
% 29.91/7.68 |
% 29.91/7.68 | Equations (658) can reduce 294 to:
% 29.91/7.68 | (537) $false
% 29.91/7.68 |
% 29.91/7.68 |-The branch is then unsatisfiable
% 29.91/7.68 |-Branch two:
% 29.91/7.68 | (6512) ~ (all_0_244_244 = e20)
% 29.91/7.68 | (6295) all_0_245_245 = e20
% 29.91/7.68 |
% 29.91/7.69 | Equations (6295) can reduce 137 to:
% 29.91/7.69 | (6294) ~ (all_0_241_241 = e20)
% 29.91/7.69 |
% 29.91/7.69 | Equations (6295) can reduce 6501 to:
% 29.91/7.69 | (671) ~ (e23 = e20)
% 29.91/7.69 |
% 29.91/7.69 | Simplifying 671 yields:
% 29.91/7.69 | (14) ~ (e23 = e20)
% 29.91/7.69 |
% 29.91/7.69 | Equations (6295) can reduce 439 to:
% 29.91/7.69 | (652) ~ (e22 = e20)
% 29.91/7.69 |
% 29.91/7.69 | Simplifying 652 yields:
% 29.91/7.69 | (294) ~ (e22 = e20)
% 29.91/7.69 |
% 29.91/7.69 | Equations (6295) can reduce 506 to:
% 29.91/7.69 | (654) ~ (e21 = e20)
% 29.91/7.69 |
% 29.91/7.69 | Simplifying 654 yields:
% 29.91/7.69 | (401) ~ (e21 = e20)
% 29.91/7.69 |
% 29.91/7.69 | From (6295) and (110) follows:
% 29.91/7.69 | (6521) op2(e20, e21) = all_0_163_163
% 29.91/7.69 |
% 29.91/7.69 +-Applying beta-rule and splitting (593), into two cases.
% 29.91/7.69 |-Branch one:
% 29.91/7.69 | (682) all_0_241_241 = e23
% 29.91/7.69 |
% 29.91/7.69 | Equations (682) can reduce 152 to:
% 29.91/7.69 | (449) ~ (e23 = e22)
% 29.91/7.69 |
% 29.91/7.69 | Equations (682) can reduce 527 to:
% 29.91/7.69 | (215) ~ (e23 = e21)
% 29.91/7.69 |
% 29.91/7.69 | Equations (682) can reduce 6294 to:
% 29.91/7.69 | (14) ~ (e23 = e20)
% 29.91/7.69 |
% 29.91/7.69 | From (682) and (463) follows:
% 29.91/7.69 | (6526) op2(e23, e22) = all_0_152_152
% 29.91/7.69 |
% 29.91/7.69 | Instantiating formula (340) with e23, e22, all_0_152_152, e22 and discharging atoms op2(e23, e22) = all_0_152_152, op2(e23, e22) = e22, yields:
% 29.91/7.69 | (6527) all_0_152_152 = e22
% 29.91/7.69 |
% 29.91/7.69 | Instantiating formula (340) with e23, e22, all_0_157_157, all_0_152_152 and discharging atoms op2(e23, e22) = all_0_152_152, op2(e23, e22) = all_0_157_157, yields:
% 29.91/7.69 | (6417) all_0_152_152 = all_0_157_157
% 29.91/7.69 |
% 29.91/7.69 | Instantiating formula (340) with e23, e21, all_0_158_158, e20 and discharging atoms op2(e23, e21) = all_0_158_158, op2(e23, e21) = e20, yields:
% 29.91/7.69 | (6529) all_0_158_158 = e20
% 29.91/7.69 |
% 29.91/7.69 | Instantiating formula (340) with e20, e21, all_0_163_163, e23 and discharging atoms op2(e20, e21) = all_0_163_163, op2(e20, e21) = e23, yields:
% 29.91/7.69 | (6530) all_0_163_163 = e23
% 29.91/7.69 |
% 29.91/7.69 | Combining equations (6527,6417) yields a new equation:
% 29.91/7.69 | (6531) all_0_157_157 = e22
% 29.91/7.69 |
% 29.91/7.69 | Combining equations (6531,6417) yields a new equation:
% 29.91/7.69 | (6527) all_0_152_152 = e22
% 29.91/7.69 |
% 29.91/7.69 +-Applying beta-rule and splitting (69), into two cases.
% 29.91/7.69 |-Branch one:
% 29.91/7.69 | (6421) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)) | (all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20))
% 29.91/7.69 |
% 29.91/7.69 +-Applying beta-rule and splitting (6421), into two cases.
% 29.91/7.69 |-Branch one:
% 29.91/7.69 | (6422) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22))
% 29.91/7.69 |
% 29.91/7.69 +-Applying beta-rule and splitting (6422), into two cases.
% 29.91/7.69 |-Branch one:
% 29.91/7.69 | (6423) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23))
% 29.91/7.69 |
% 29.91/7.69 +-Applying beta-rule and splitting (6423), into two cases.
% 29.91/7.69 |-Branch one:
% 29.91/7.69 | (6424) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20))
% 29.91/7.69 |
% 29.91/7.69 +-Applying beta-rule and splitting (6424), into two cases.
% 29.91/7.69 |-Branch one:
% 29.91/7.69 | (6425) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21))
% 29.91/7.69 |
% 29.91/7.69 +-Applying beta-rule and splitting (6425), into two cases.
% 29.91/7.69 |-Branch one:
% 29.91/7.69 | (6426) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23))
% 29.91/7.69 |
% 29.91/7.69 +-Applying beta-rule and splitting (6426), into two cases.
% 29.91/7.69 |-Branch one:
% 29.91/7.69 | (6427) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20))
% 29.91/7.69 |
% 29.91/7.69 +-Applying beta-rule and splitting (6427), into two cases.
% 29.91/7.69 |-Branch one:
% 29.91/7.69 | (6428) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21))
% 29.91/7.69 |
% 29.91/7.69 +-Applying beta-rule and splitting (6428), into two cases.
% 29.91/7.69 |-Branch one:
% 29.91/7.69 | (6429) all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)
% 29.91/7.69 |
% 29.91/7.69 | Applying alpha-rule on (6429) yields:
% 29.91/7.69 | (6430) all_0_135_135 = e22
% 29.91/7.69 | (6431) ~ (all_0_134_134 = e23)
% 29.91/7.69 | (6432) ~ (all_0_136_136 = e22)
% 29.91/7.69 |
% 29.91/7.69 | Equations (6354) can reduce 6432 to:
% 29.91/7.69 | (537) $false
% 29.91/7.69 |
% 29.91/7.70 |-The branch is then unsatisfiable
% 29.91/7.70 |-Branch two:
% 29.91/7.70 | (6434) all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)
% 29.91/7.70 |
% 29.91/7.70 | Applying alpha-rule on (6434) yields:
% 29.91/7.70 | (6435) all_0_138_138 = e21
% 29.91/7.70 | (6436) ~ (all_0_137_137 = e23)
% 29.91/7.70 | (6437) ~ (all_0_139_139 = e21)
% 29.91/7.70 |
% 29.91/7.70 | Combining equations (6435,6357) yields a new equation:
% 29.91/7.70 | (663) e21 = e20
% 29.91/7.70 |
% 29.91/7.70 | Simplifying 663 yields:
% 29.91/7.70 | (664) e21 = e20
% 29.91/7.70 |
% 29.91/7.70 | Equations (664) can reduce 401 to:
% 29.91/7.70 | (537) $false
% 29.91/7.70 |
% 29.91/7.70 |-The branch is then unsatisfiable
% 29.91/7.70 |-Branch two:
% 29.91/7.70 | (6441) all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)
% 29.91/7.70 |
% 29.91/7.70 | Applying alpha-rule on (6441) yields:
% 29.91/7.70 | (6442) all_0_141_141 = e20
% 29.91/7.70 | (6443) ~ (all_0_140_140 = e23)
% 29.91/7.70 | (6444) ~ (all_0_142_142 = e20)
% 29.91/7.70 |
% 29.91/7.70 | Combining equations (6442,555) yields a new equation:
% 29.91/7.70 | (664) e21 = e20
% 29.91/7.70 |
% 29.91/7.70 | Equations (664) can reduce 401 to:
% 29.91/7.70 | (537) $false
% 29.91/7.70 |
% 29.91/7.70 |-The branch is then unsatisfiable
% 29.91/7.70 |-Branch two:
% 29.91/7.70 | (6447) all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)
% 29.91/7.70 |
% 29.91/7.70 | Applying alpha-rule on (6447) yields:
% 29.91/7.70 | (6448) all_0_144_144 = e23
% 29.91/7.70 | (6449) ~ (all_0_143_143 = e22)
% 29.91/7.70 | (6450) ~ (all_0_145_145 = e23)
% 29.91/7.70 |
% 29.91/7.70 | Combining equations (6448,6506) yields a new equation:
% 29.91/7.70 | (683) e23 = e20
% 29.91/7.70 |
% 29.91/7.70 | Simplifying 683 yields:
% 29.91/7.70 | (684) e23 = e20
% 29.91/7.70 |
% 29.91/7.70 | Equations (684) can reduce 14 to:
% 29.91/7.70 | (537) $false
% 29.91/7.70 |
% 29.91/7.70 |-The branch is then unsatisfiable
% 29.91/7.70 |-Branch two:
% 29.91/7.70 | (6452) all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)
% 29.91/7.70 |
% 29.91/7.70 | Applying alpha-rule on (6452) yields:
% 29.91/7.70 | (6453) all_0_149_149 = e21
% 29.91/7.70 | (6454) ~ (all_0_148_148 = e22)
% 29.91/7.70 | (6455) ~ (all_0_150_150 = e21)
% 29.91/7.70 |
% 29.91/7.70 | Combining equations (6499,6453) yields a new equation:
% 29.91/7.70 | (597) e23 = e21
% 29.91/7.70 |
% 29.91/7.70 | Simplifying 597 yields:
% 29.91/7.70 | (590) e23 = e21
% 29.91/7.70 |
% 29.91/7.70 | Equations (590) can reduce 215 to:
% 29.91/7.70 | (537) $false
% 29.91/7.70 |
% 29.91/7.70 |-The branch is then unsatisfiable
% 29.91/7.70 |-Branch two:
% 29.91/7.70 | (6458) all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)
% 29.91/7.70 |
% 29.91/7.70 | Applying alpha-rule on (6458) yields:
% 29.91/7.70 | (6459) all_0_152_152 = e20
% 29.91/7.70 | (6460) ~ (all_0_151_151 = e22)
% 29.91/7.70 | (6461) ~ (all_0_153_153 = e20)
% 29.91/7.70 |
% 29.91/7.70 | Combining equations (6527,6459) yields a new equation:
% 29.91/7.70 | (657) e22 = e20
% 29.91/7.70 |
% 29.91/7.70 | Simplifying 657 yields:
% 29.91/7.70 | (658) e22 = e20
% 29.91/7.70 |
% 29.91/7.70 | Equations (658) can reduce 294 to:
% 29.91/7.70 | (537) $false
% 29.91/7.70 |
% 29.91/7.70 |-The branch is then unsatisfiable
% 29.91/7.70 |-Branch two:
% 29.91/7.70 | (6465) all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)
% 29.91/7.70 |
% 29.91/7.70 | Applying alpha-rule on (6465) yields:
% 29.91/7.70 | (6466) all_0_155_155 = e23
% 29.91/7.70 | (6467) ~ (all_0_154_154 = e21)
% 29.91/7.70 | (6468) ~ (all_0_156_156 = e23)
% 29.91/7.70 |
% 29.91/7.70 | Combining equations (6340,6466) yields a new equation:
% 29.91/7.70 | (639) e23 = e22
% 29.91/7.70 |
% 29.91/7.70 | Equations (639) can reduce 449 to:
% 29.91/7.70 | (537) $false
% 29.91/7.70 |
% 29.91/7.70 |-The branch is then unsatisfiable
% 29.91/7.70 |-Branch two:
% 29.91/7.70 | (6471) all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)
% 29.91/7.70 |
% 29.91/7.70 | Applying alpha-rule on (6471) yields:
% 29.91/7.70 | (6472) all_0_158_158 = e22
% 29.91/7.71 | (6473) ~ (all_0_157_157 = e21)
% 29.91/7.71 | (6474) ~ (all_0_159_159 = e22)
% 29.91/7.71 |
% 29.91/7.71 | Combining equations (6529,6472) yields a new equation:
% 29.91/7.71 | (658) e22 = e20
% 29.91/7.71 |
% 29.91/7.71 | Equations (658) can reduce 294 to:
% 29.91/7.71 | (537) $false
% 29.91/7.71 |
% 29.91/7.71 |-The branch is then unsatisfiable
% 29.91/7.71 |-Branch two:
% 29.91/7.71 | (6478) all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20)
% 29.91/7.71 |
% 29.91/7.71 | Applying alpha-rule on (6478) yields:
% 29.91/7.71 | (6479) all_0_163_163 = e20
% 29.91/7.71 | (6480) ~ (all_0_162_162 = e21)
% 29.91/7.71 | (6481) ~ (all_0_164_164 = e20)
% 29.91/7.71 |
% 29.91/7.71 | Combining equations (6479,6530) yields a new equation:
% 29.91/7.71 | (684) e23 = e20
% 29.91/7.71 |
% 29.91/7.71 | Equations (684) can reduce 14 to:
% 29.91/7.71 | (537) $false
% 29.91/7.71 |
% 29.91/7.71 |-The branch is then unsatisfiable
% 29.91/7.71 |-Branch two:
% 29.91/7.71 | (6483) all_0_237_237 = e21 & ~ (all_0_236_236 = e20)
% 29.91/7.71 |
% 29.91/7.71 | Applying alpha-rule on (6483) yields:
% 29.91/7.71 | (523) all_0_237_237 = e21
% 29.91/7.71 | (660) ~ (all_0_236_236 = e20)
% 29.91/7.71 |
% 29.91/7.71 | Equations (656) can reduce 660 to:
% 29.91/7.71 | (537) $false
% 29.91/7.71 |
% 29.91/7.71 |-The branch is then unsatisfiable
% 29.91/7.71 |-Branch two:
% 29.91/7.71 | (686) ~ (all_0_241_241 = e23)
% 29.91/7.71 | (687) all_0_245_245 = e23
% 29.91/7.71 |
% 29.91/7.71 | Combining equations (687,6295) yields a new equation:
% 29.91/7.71 | (683) e23 = e20
% 29.91/7.71 |
% 29.91/7.71 | Simplifying 683 yields:
% 29.91/7.71 | (684) e23 = e20
% 29.91/7.71 |
% 29.91/7.71 | Equations (684) can reduce 14 to:
% 29.91/7.71 | (537) $false
% 29.91/7.71 |
% 29.91/7.71 |-The branch is then unsatisfiable
% 29.91/7.71 |-Branch two:
% 29.91/7.71 | (6378) ~ (all_0_239_239 = e20)
% 29.91/7.71 | (6292) all_0_243_243 = e20
% 29.91/7.71 |
% 29.91/7.71 | Combining equations (6292,6284) yields a new equation:
% 29.91/7.71 | (684) e23 = e20
% 29.91/7.71 |
% 29.91/7.71 | Equations (684) can reduce 14 to:
% 29.91/7.71 | (537) $false
% 29.91/7.71 |
% 29.91/7.71 |-The branch is then unsatisfiable
% 29.91/7.71 |-Branch two:
% 29.91/7.71 | (688) ~ (all_0_243_243 = e23)
% 29.91/7.71 | (6292) all_0_243_243 = e20
% 29.91/7.71 |
% 29.91/7.71 | Equations (6292) can reduce 668 to:
% 29.91/7.71 | (537) $false
% 29.91/7.71 |
% 29.91/7.71 |-The branch is then unsatisfiable
% 29.91/7.71 |-Branch two:
% 29.91/7.71 | (660) ~ (all_0_236_236 = e20)
% 29.91/7.71 | (675) all_0_237_237 = e20
% 29.91/7.71 |
% 29.91/7.71 | Combining equations (523,675) yields a new equation:
% 29.91/7.71 | (663) e21 = e20
% 29.91/7.71 |
% 29.91/7.71 | Simplifying 663 yields:
% 29.91/7.71 | (664) e21 = e20
% 29.91/7.71 |
% 29.91/7.71 | Equations (664) can reduce 401 to:
% 29.91/7.71 | (537) $false
% 29.91/7.71 |
% 29.91/7.71 |-The branch is then unsatisfiable
% 29.91/7.71 |-Branch two:
% 29.91/7.71 | (646) ~ (all_0_235_235 = e22)
% 29.91/7.71 | (645) all_0_236_236 = e22
% 29.91/7.71 |
% 29.91/7.71 | Equations (645) can reduce 6308 to:
% 29.91/7.71 | (537) $false
% 29.91/7.71 |
% 29.91/7.71 |-The branch is then unsatisfiable
% 29.91/7.71 |-Branch two:
% 29.91/7.71 | (6622) ~ (all_0_238_238 = e22)
% 29.91/7.71 | (637) all_0_238_238 = e23
% 29.91/7.71 |
% 29.91/7.71 | Equations (637) can reduce 608 to:
% 29.91/7.71 | (537) $false
% 29.91/7.71 |
% 29.91/7.71 |-The branch is then unsatisfiable
% 29.91/7.71 |-Branch two:
% 29.91/7.71 | (6625) ~ (all_0_234_234 = e23)
% 29.91/7.71 | (6626) all_0_235_235 = e23 | all_0_237_237 = e23
% 29.91/7.71 |
% 29.91/7.71 +-Applying beta-rule and splitting (98), into two cases.
% 29.91/7.71 |-Branch one:
% 29.91/7.71 | (604) all_0_234_234 = e23
% 29.91/7.71 |
% 29.91/7.71 | Equations (604) can reduce 6625 to:
% 29.91/7.71 | (537) $false
% 29.91/7.71 |
% 29.91/7.71 |-The branch is then unsatisfiable
% 29.91/7.71 |-Branch two:
% 29.91/7.71 | (6625) ~ (all_0_234_234 = e23)
% 29.91/7.71 | (6630) all_0_238_238 = e23 | all_0_242_242 = e23
% 29.91/7.71 |
% 29.91/7.71 +-Applying beta-rule and splitting (6630), into two cases.
% 29.91/7.71 |-Branch one:
% 29.91/7.71 | (637) all_0_238_238 = e23
% 29.91/7.71 |
% 29.91/7.71 | Equations (637) can reduce 228 to:
% 29.91/7.72 | (6625) ~ (all_0_234_234 = e23)
% 29.91/7.72 |
% 29.91/7.72 | Equations (637) can reduce 265 to:
% 29.91/7.72 | (6395) ~ (all_0_241_241 = e23)
% 29.91/7.72 |
% 29.91/7.72 | Simplifying 6395 yields:
% 29.91/7.72 | (686) ~ (all_0_241_241 = e23)
% 29.91/7.72 |
% 29.91/7.72 | From (637) and (133) follows:
% 29.91/7.72 | (6635) op2(e23, e22) = all_0_144_144
% 29.91/7.72 |
% 29.91/7.72 | From (637) and (6) follows:
% 29.91/7.72 | (6636) op2(e21, e23) = all_0_109_109
% 29.91/7.72 |
% 29.91/7.72 | From (637) and (393) follows:
% 29.91/7.72 | (6637) op2(e20, e23) = all_0_110_110
% 29.91/7.72 |
% 29.91/7.72 +-Applying beta-rule and splitting (64), into two cases.
% 29.91/7.72 |-Branch one:
% 29.91/7.72 | (6310) all_0_234_234 = e22
% 29.91/7.72 |
% 29.91/7.72 | Equations (6310) can reduce 475 to:
% 29.91/7.72 | (6639) ~ (all_0_236_236 = e22)
% 29.91/7.72 |
% 29.91/7.72 | Simplifying 6639 yields:
% 29.91/7.72 | (6308) ~ (all_0_236_236 = e22)
% 29.91/7.72 |
% 29.91/7.72 | Equations (6310) can reduce 6625 to:
% 29.91/7.72 | (613) ~ (e23 = e22)
% 29.91/7.72 |
% 29.91/7.72 | Simplifying 613 yields:
% 29.91/7.72 | (449) ~ (e23 = e22)
% 29.91/7.72 |
% 29.91/7.72 | Equations (6310) can reduce 501 to:
% 29.91/7.72 | (92) ~ (e22 = e21)
% 29.91/7.72 |
% 29.91/7.72 | From (6310)(6310) and (149) follows:
% 29.91/7.72 | (6644) op2(e22, e22) = all_0_10_10
% 29.91/7.72 |
% 29.91/7.72 | From (6310) and (471) follows:
% 29.91/7.72 | (6645) op2(e23, e22) = all_0_133_133
% 29.91/7.72 |
% 29.91/7.72 | From (6310) and (33) follows:
% 29.91/7.72 | (6646) op2(e22, e22) = all_0_96_96
% 29.91/7.72 |
% 29.91/7.72 +-Applying beta-rule and splitting (94), into two cases.
% 29.91/7.72 |-Branch one:
% 29.91/7.72 | (610) all_0_238_238 = e22
% 29.91/7.72 |
% 29.91/7.72 | Combining equations (637,610) yields a new equation:
% 29.91/7.72 | (638) e23 = e22
% 29.91/7.72 |
% 29.91/7.72 | Simplifying 638 yields:
% 29.91/7.72 | (639) e23 = e22
% 29.91/7.72 |
% 29.91/7.72 | Equations (639) can reduce 449 to:
% 29.91/7.72 | (537) $false
% 29.91/7.72 |
% 29.91/7.72 |-The branch is then unsatisfiable
% 29.91/7.72 |-Branch two:
% 29.91/7.72 | (6622) ~ (all_0_238_238 = e22)
% 29.91/7.72 | (6652) all_0_239_239 = e22 | all_0_240_240 = e22
% 29.91/7.72 |
% 29.91/7.72 +-Applying beta-rule and splitting (191), into two cases.
% 29.91/7.72 |-Branch one:
% 29.91/7.72 | (645) all_0_236_236 = e22
% 29.91/7.72 |
% 29.91/7.72 | Equations (645) can reduce 6308 to:
% 29.91/7.72 | (537) $false
% 29.91/7.72 |
% 29.91/7.72 |-The branch is then unsatisfiable
% 29.91/7.72 |-Branch two:
% 29.91/7.72 | (6308) ~ (all_0_236_236 = e22)
% 29.91/7.72 | (6309) all_0_240_240 = e22 | all_0_244_244 = e22
% 29.91/7.72 |
% 29.91/7.72 +-Applying beta-rule and splitting (580), into two cases.
% 29.91/7.72 |-Branch one:
% 29.91/7.72 | (645) all_0_236_236 = e22
% 29.91/7.72 |
% 29.91/7.72 | Equations (645) can reduce 6308 to:
% 29.91/7.72 | (537) $false
% 29.91/7.72 |
% 29.91/7.72 |-The branch is then unsatisfiable
% 29.91/7.72 |-Branch two:
% 29.91/7.72 | (6308) ~ (all_0_236_236 = e22)
% 29.91/7.72 | (656) all_0_236_236 = e20
% 29.91/7.72 |
% 29.91/7.72 | From (656) and (285) follows:
% 29.91/7.72 | (6350) op2(e20, e23) = all_0_138_138
% 29.91/7.72 |
% 29.91/7.72 +-Applying beta-rule and splitting (6652), into two cases.
% 29.91/7.72 |-Branch one:
% 29.91/7.72 | (6372) all_0_239_239 = e22
% 29.91/7.72 |
% 29.91/7.72 | Equations (6372) can reduce 32 to:
% 29.91/7.72 | (6663) ~ (all_0_243_243 = e22)
% 29.91/7.72 |
% 29.91/7.72 | Simplifying 6663 yields:
% 29.91/7.72 | (6287) ~ (all_0_243_243 = e22)
% 29.91/7.72 |
% 29.91/7.72 | Equations (6372) can reduce 18 to:
% 29.91/7.72 | (92) ~ (e22 = e21)
% 29.91/7.72 |
% 29.91/7.72 | From (6372)(6372) and (309) follows:
% 29.91/7.72 | (6666) op2(e22, e22) = all_0_37_37
% 29.91/7.72 |
% 29.91/7.72 | From (6372) and (292) follows:
% 29.91/7.72 | (6667) op2(e22, e22) = all_0_146_146
% 29.91/7.72 |
% 29.91/7.72 | From (6372) and (109) follows:
% 29.91/7.72 | (6668) op2(e23, e22) = all_0_111_111
% 29.91/7.72 |
% 29.91/7.72 | From (6372) and (130) follows:
% 29.91/7.72 | (6669) op2(e22, e22) = all_0_147_147
% 29.91/7.72 |
% 29.91/7.72 | From (6372) and (256) follows:
% 29.91/7.72 | (6670) op2(e22, e22) = e22
% 29.91/7.72 |
% 29.91/7.72 +-Applying beta-rule and splitting (254), into two cases.
% 29.91/7.72 |-Branch one:
% 29.91/7.72 | (6322) all_0_242_242 = e22
% 29.91/7.72 |
% 29.91/7.72 | Combining equations (500,6322) yields a new equation:
% 29.91/7.72 | (6323) e22 = e21
% 29.91/7.72 |
% 29.91/7.72 | Equations (6323) can reduce 92 to:
% 29.91/7.72 | (537) $false
% 29.91/7.72 |
% 29.91/7.72 |-The branch is then unsatisfiable
% 29.91/7.72 |-Branch two:
% 29.91/7.72 | (6325) ~ (all_0_242_242 = e22)
% 29.91/7.73 | (6326) all_0_243_243 = e22 | all_0_244_244 = e22
% 29.91/7.73 |
% 29.91/7.73 +-Applying beta-rule and splitting (6326), into two cases.
% 29.91/7.73 |-Branch one:
% 29.91/7.73 | (689) all_0_243_243 = e22
% 29.91/7.73 |
% 29.91/7.73 | Equations (689) can reduce 6287 to:
% 29.91/7.73 | (537) $false
% 29.91/7.73 |
% 29.91/7.73 |-The branch is then unsatisfiable
% 29.91/7.73 |-Branch two:
% 29.91/7.73 | (6287) ~ (all_0_243_243 = e22)
% 29.91/7.73 | (6339) all_0_244_244 = e22
% 29.91/7.73 |
% 29.91/7.73 | Equations (6339) can reduce 362 to:
% 29.91/7.73 | (6287) ~ (all_0_243_243 = e22)
% 29.91/7.73 |
% 29.91/7.73 | Equations (6339) can reduce 145 to:
% 29.91/7.73 | (6343) ~ (all_0_245_245 = e22)
% 29.91/7.73 |
% 29.91/7.73 | Simplifying 6343 yields:
% 29.91/7.73 | (439) ~ (all_0_245_245 = e22)
% 29.91/7.73 |
% 29.91/7.73 | From (6339)(6339) and (2) follows:
% 29.91/7.73 | (6683) op2(e22, e22) = all_0_64_64
% 29.91/7.73 |
% 29.91/7.73 | From (6339) and (197) follows:
% 29.91/7.73 | (6684) op2(e23, e22) = all_0_126_126
% 29.91/7.73 |
% 29.91/7.73 | From (6339) and (13) follows:
% 29.91/7.73 | (6685) op2(e22, e22) = all_0_127_127
% 29.91/7.73 |
% 29.91/7.73 +-Applying beta-rule and splitting (588), into two cases.
% 29.91/7.73 |-Branch one:
% 29.91/7.73 | (682) all_0_241_241 = e23
% 29.91/7.73 |
% 29.91/7.73 | Equations (682) can reduce 686 to:
% 29.91/7.73 | (537) $false
% 29.91/7.73 |
% 29.91/7.73 |-The branch is then unsatisfiable
% 29.91/7.73 |-Branch two:
% 29.91/7.73 | (686) ~ (all_0_241_241 = e23)
% 29.91/7.73 | (681) all_0_241_241 = e20
% 29.91/7.73 |
% 29.91/7.73 | Equations (681) can reduce 137 to:
% 29.91/7.73 | (669) ~ (all_0_245_245 = e20)
% 29.91/7.73 |
% 29.91/7.73 | Simplifying 669 yields:
% 29.91/7.73 | (670) ~ (all_0_245_245 = e20)
% 29.91/7.73 |
% 29.91/7.73 +-Applying beta-rule and splitting (572), into two cases.
% 29.91/7.73 |-Branch one:
% 29.91/7.73 | (687) all_0_245_245 = e23
% 29.91/7.73 |
% 29.91/7.73 | Equations (687) can reduce 154 to:
% 29.91/7.73 | (688) ~ (all_0_243_243 = e23)
% 29.91/7.73 |
% 29.91/7.73 | Equations (687) can reduce 439 to:
% 29.91/7.73 | (449) ~ (e23 = e22)
% 29.91/7.73 |
% 29.91/7.73 | From (687) and (402) follows:
% 29.91/7.73 | (6695) op2(e21, e23) = all_0_164_164
% 29.91/7.73 |
% 29.91/7.73 | From (687) and (469) follows:
% 29.91/7.73 | (6696) op2(e20, e23) = all_0_131_131
% 29.91/7.73 |
% 29.91/7.73 +-Applying beta-rule and splitting (448), into two cases.
% 29.91/7.73 |-Branch one:
% 29.91/7.73 | (633) all_0_235_235 = e23
% 29.91/7.73 |
% 29.91/7.73 | Equations (633) can reduce 212 to:
% 29.91/7.73 | (6698) ~ (all_0_243_243 = e23)
% 29.91/7.73 |
% 29.91/7.73 | Simplifying 6698 yields:
% 29.91/7.73 | (688) ~ (all_0_243_243 = e23)
% 29.91/7.73 |
% 29.91/7.73 | From (633) and (220) follows:
% 29.91/7.73 | (6700) op2(e23, e22) = all_0_134_134
% 29.91/7.73 |
% 29.91/7.73 | From (633) and (436) follows:
% 29.91/7.73 | (6701) op2(e23, e22) = e23
% 29.91/7.73 |
% 29.91/7.73 | From (633) and (377) follows:
% 29.91/7.73 | (6702) op2(e21, e23) = all_0_100_100
% 29.91/7.73 |
% 29.91/7.73 | From (633) and (417) follows:
% 29.91/7.73 | (6703) op2(e20, e23) = all_0_101_101
% 29.91/7.73 |
% 29.91/7.73 +-Applying beta-rule and splitting (394), into two cases.
% 29.91/7.73 |-Branch one:
% 29.91/7.73 | (689) all_0_243_243 = e22
% 29.91/7.73 |
% 29.91/7.73 | Equations (689) can reduce 6287 to:
% 29.91/7.73 | (537) $false
% 29.91/7.73 |
% 29.91/7.73 |-The branch is then unsatisfiable
% 29.91/7.73 |-Branch two:
% 29.91/7.73 | (6287) ~ (all_0_243_243 = e22)
% 29.91/7.73 | (6288) all_0_243_243 = e23 | all_0_243_243 = e20
% 29.91/7.73 |
% 29.91/7.73 +-Applying beta-rule and splitting (6288), into two cases.
% 29.91/7.73 |-Branch one:
% 29.91/7.73 | (6284) all_0_243_243 = e23
% 29.91/7.73 |
% 29.91/7.73 | Equations (6284) can reduce 688 to:
% 29.91/7.73 | (537) $false
% 29.91/7.73 |
% 29.91/7.73 |-The branch is then unsatisfiable
% 29.91/7.73 |-Branch two:
% 29.91/7.73 | (688) ~ (all_0_243_243 = e23)
% 29.91/7.73 | (6292) all_0_243_243 = e20
% 29.91/7.73 |
% 29.91/7.73 | Equations (6292) can reduce 74 to:
% 29.91/7.73 | (654) ~ (e21 = e20)
% 29.91/7.73 |
% 29.91/7.73 | Simplifying 654 yields:
% 29.91/7.73 | (401) ~ (e21 = e20)
% 29.91/7.73 |
% 29.91/7.73 | Instantiating formula (340) with e23, e22, all_0_126_126, all_0_111_111 and discharging atoms op2(e23, e22) = all_0_111_111, op2(e23, e22) = all_0_126_126, yields:
% 29.91/7.73 | (6714) all_0_111_111 = all_0_126_126
% 29.91/7.73 |
% 29.91/7.73 | Instantiating formula (340) with e23, e22, all_0_133_133, all_0_111_111 and discharging atoms op2(e23, e22) = all_0_111_111, op2(e23, e22) = all_0_133_133, yields:
% 29.91/7.73 | (6715) all_0_111_111 = all_0_133_133
% 29.91/7.73 |
% 29.91/7.73 | Instantiating formula (340) with e23, e22, all_0_134_134, all_0_126_126 and discharging atoms op2(e23, e22) = all_0_126_126, op2(e23, e22) = all_0_134_134, yields:
% 29.91/7.73 | (6716) all_0_126_126 = all_0_134_134
% 29.91/7.73 |
% 29.91/7.73 | Instantiating formula (340) with e23, e22, all_0_144_144, all_0_126_126 and discharging atoms op2(e23, e22) = all_0_126_126, op2(e23, e22) = all_0_144_144, yields:
% 29.91/7.73 | (6717) all_0_126_126 = all_0_144_144
% 29.91/7.73 |
% 29.91/7.73 | Instantiating formula (340) with e23, e22, e23, all_0_134_134 and discharging atoms op2(e23, e22) = all_0_134_134, op2(e23, e22) = e23, yields:
% 29.91/7.73 | (6718) all_0_134_134 = e23
% 29.91/7.73 |
% 29.91/7.73 | Instantiating formula (340) with e22, e22, all_0_64_64, all_0_37_37 and discharging atoms op2(e22, e22) = all_0_37_37, op2(e22, e22) = all_0_64_64, yields:
% 29.91/7.73 | (6719) all_0_37_37 = all_0_64_64
% 29.91/7.73 |
% 29.91/7.73 | Instantiating formula (340) with e22, e22, all_0_96_96, all_0_37_37 and discharging atoms op2(e22, e22) = all_0_37_37, op2(e22, e22) = all_0_96_96, yields:
% 29.91/7.73 | (6720) all_0_37_37 = all_0_96_96
% 29.91/7.73 |
% 29.91/7.73 | Instantiating formula (340) with e22, e22, all_0_127_127, all_0_10_10 and discharging atoms op2(e22, e22) = all_0_10_10, op2(e22, e22) = all_0_127_127, yields:
% 29.91/7.73 | (6721) all_0_10_10 = all_0_127_127
% 29.91/7.73 |
% 29.91/7.73 | Instantiating formula (340) with e22, e22, all_0_146_146, all_0_10_10 and discharging atoms op2(e22, e22) = all_0_10_10, op2(e22, e22) = all_0_146_146, yields:
% 29.91/7.73 | (6722) all_0_10_10 = all_0_146_146
% 29.91/7.73 |
% 29.91/7.73 | Instantiating formula (340) with e22, e22, all_0_146_146, all_0_37_37 and discharging atoms op2(e22, e22) = all_0_37_37, op2(e22, e22) = all_0_146_146, yields:
% 29.91/7.73 | (6723) all_0_37_37 = all_0_146_146
% 29.91/7.73 |
% 29.91/7.73 | Instantiating formula (340) with e22, e22, all_0_147_147, all_0_64_64 and discharging atoms op2(e22, e22) = all_0_64_64, op2(e22, e22) = all_0_147_147, yields:
% 29.91/7.73 | (6724) all_0_64_64 = all_0_147_147
% 29.91/7.73 |
% 29.91/7.73 | Instantiating formula (340) with e22, e22, e22, all_0_10_10 and discharging atoms op2(e22, e22) = all_0_10_10, op2(e22, e22) = e22, yields:
% 29.91/7.73 | (6725) all_0_10_10 = e22
% 29.91/7.73 |
% 29.91/7.73 | Instantiating formula (340) with e21, e23, all_0_100_100, e21 and discharging atoms op2(e21, e23) = all_0_100_100, op2(e21, e23) = e21, yields:
% 29.91/7.74 | (6726) all_0_100_100 = e21
% 29.91/7.74 |
% 29.91/7.74 | Instantiating formula (340) with e21, e23, all_0_109_109, all_0_100_100 and discharging atoms op2(e21, e23) = all_0_100_100, op2(e21, e23) = all_0_109_109, yields:
% 29.91/7.74 | (6727) all_0_100_100 = all_0_109_109
% 29.91/7.74 |
% 29.91/7.74 | Instantiating formula (340) with e21, e23, all_0_164_164, all_0_109_109 and discharging atoms op2(e21, e23) = all_0_109_109, op2(e21, e23) = all_0_164_164, yields:
% 29.91/7.74 | (6728) all_0_109_109 = all_0_164_164
% 29.91/7.74 |
% 29.91/7.74 | Instantiating formula (340) with e20, e23, all_0_110_110, all_0_101_101 and discharging atoms op2(e20, e23) = all_0_101_101, op2(e20, e23) = all_0_110_110, yields:
% 29.91/7.74 | (6729) all_0_101_101 = all_0_110_110
% 29.91/7.74 |
% 29.91/7.74 | Instantiating formula (340) with e20, e23, all_0_131_131, e20 and discharging atoms op2(e20, e23) = all_0_131_131, op2(e20, e23) = e20, yields:
% 29.91/7.74 | (6730) all_0_131_131 = e20
% 29.91/7.74 |
% 29.91/7.74 | Instantiating formula (340) with e20, e23, all_0_131_131, all_0_110_110 and discharging atoms op2(e20, e23) = all_0_110_110, op2(e20, e23) = all_0_131_131, yields:
% 29.91/7.74 | (6731) all_0_110_110 = all_0_131_131
% 29.91/7.74 |
% 29.91/7.74 | Instantiating formula (340) with e20, e23, all_0_138_138, all_0_101_101 and discharging atoms op2(e20, e23) = all_0_101_101, op2(e20, e23) = all_0_138_138, yields:
% 29.91/7.74 | (6732) all_0_101_101 = all_0_138_138
% 29.91/7.74 |
% 29.91/7.74 | Combining equations (6725,6721) yields a new equation:
% 29.91/7.74 | (6733) all_0_127_127 = e22
% 29.91/7.74 |
% 29.91/7.74 | Combining equations (6722,6721) yields a new equation:
% 29.91/7.74 | (6734) all_0_127_127 = all_0_146_146
% 29.91/7.74 |
% 29.91/7.74 | Combining equations (6719,6720) yields a new equation:
% 29.91/7.74 | (6735) all_0_64_64 = all_0_96_96
% 29.91/7.74 |
% 29.91/7.74 | Simplifying 6735 yields:
% 29.91/7.74 | (6736) all_0_64_64 = all_0_96_96
% 29.91/7.74 |
% 29.91/7.74 | Combining equations (6723,6720) yields a new equation:
% 29.91/7.74 | (6737) all_0_96_96 = all_0_146_146
% 29.91/7.74 |
% 29.91/7.74 | Combining equations (6736,6724) yields a new equation:
% 29.91/7.74 | (6738) all_0_96_96 = all_0_147_147
% 29.91/7.74 |
% 29.91/7.74 | Simplifying 6738 yields:
% 29.91/7.74 | (6739) all_0_96_96 = all_0_147_147
% 29.91/7.74 |
% 29.91/7.74 | Combining equations (6737,6739) yields a new equation:
% 29.91/7.74 | (6740) all_0_146_146 = all_0_147_147
% 29.91/7.74 |
% 29.91/7.74 | Simplifying 6740 yields:
% 29.91/7.74 | (6741) all_0_146_146 = all_0_147_147
% 29.91/7.74 |
% 29.91/7.74 | Combining equations (6727,6726) yields a new equation:
% 29.91/7.74 | (6742) all_0_109_109 = e21
% 29.91/7.74 |
% 29.91/7.74 | Simplifying 6742 yields:
% 29.91/7.74 | (6743) all_0_109_109 = e21
% 29.91/7.74 |
% 29.91/7.74 | Combining equations (6729,6732) yields a new equation:
% 29.91/7.74 | (6744) all_0_110_110 = all_0_138_138
% 29.91/7.74 |
% 29.91/7.74 | Simplifying 6744 yields:
% 29.91/7.74 | (6745) all_0_110_110 = all_0_138_138
% 29.91/7.74 |
% 29.91/7.74 | Combining equations (6728,6743) yields a new equation:
% 29.91/7.74 | (6746) all_0_164_164 = e21
% 29.91/7.74 |
% 29.91/7.74 | Simplifying 6746 yields:
% 29.91/7.74 | (6747) all_0_164_164 = e21
% 29.91/7.74 |
% 29.91/7.74 | Combining equations (6731,6745) yields a new equation:
% 29.91/7.74 | (6748) all_0_131_131 = all_0_138_138
% 29.91/7.74 |
% 29.91/7.74 | Simplifying 6748 yields:
% 29.91/7.74 | (6749) all_0_131_131 = all_0_138_138
% 29.91/7.74 |
% 29.91/7.75 | Combining equations (6714,6715) yields a new equation:
% 29.91/7.75 | (6750) all_0_126_126 = all_0_133_133
% 29.91/7.75 |
% 29.91/7.75 | Simplifying 6750 yields:
% 29.91/7.75 | (6751) all_0_126_126 = all_0_133_133
% 29.91/7.75 |
% 29.91/7.75 | Combining equations (6717,6751) yields a new equation:
% 29.91/7.75 | (6752) all_0_133_133 = all_0_144_144
% 29.91/7.75 |
% 29.91/7.75 | Combining equations (6716,6751) yields a new equation:
% 29.91/7.75 | (6753) all_0_133_133 = all_0_134_134
% 29.91/7.75 |
% 29.91/7.75 | Combining equations (6734,6733) yields a new equation:
% 29.91/7.75 | (6754) all_0_146_146 = e22
% 29.91/7.75 |
% 29.91/7.75 | Simplifying 6754 yields:
% 29.91/7.75 | (6755) all_0_146_146 = e22
% 29.91/7.75 |
% 29.91/7.75 | Combining equations (6730,6749) yields a new equation:
% 29.91/7.75 | (6357) all_0_138_138 = e20
% 29.91/7.75 |
% 29.91/7.75 | Combining equations (6753,6752) yields a new equation:
% 29.91/7.75 | (6757) all_0_134_134 = all_0_144_144
% 29.91/7.75 |
% 29.91/7.75 | Simplifying 6757 yields:
% 29.91/7.75 | (6758) all_0_134_134 = all_0_144_144
% 29.91/7.75 |
% 29.91/7.75 | Combining equations (6758,6718) yields a new equation:
% 29.91/7.75 | (6759) all_0_144_144 = e23
% 29.91/7.75 |
% 29.91/7.75 | Simplifying 6759 yields:
% 29.91/7.75 | (6448) all_0_144_144 = e23
% 29.91/7.75 |
% 29.91/7.75 | Combining equations (6741,6755) yields a new equation:
% 30.19/7.75 | (6761) all_0_147_147 = e22
% 30.19/7.75 |
% 30.19/7.75 | Simplifying 6761 yields:
% 30.19/7.75 | (6762) all_0_147_147 = e22
% 30.19/7.75 |
% 30.19/7.75 | Combining equations (6448,6752) yields a new equation:
% 30.19/7.75 | (6763) all_0_133_133 = e23
% 30.19/7.75 |
% 30.19/7.75 | Combining equations (6357,6745) yields a new equation:
% 30.19/7.75 | (6764) all_0_110_110 = e20
% 30.19/7.75 |
% 30.19/7.75 | Combining equations (6357,6732) yields a new equation:
% 30.19/7.75 | (6765) all_0_101_101 = e20
% 30.19/7.75 |
% 30.19/7.75 +-Applying beta-rule and splitting (338), into two cases.
% 30.19/7.75 |-Branch one:
% 30.19/7.75 | (6766) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)) | (all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21)) | (all_0_245_245 = e23 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e20) & ~ (all_0_164_164 = e21)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e20) & ~ (all_0_133_133 = e23)) | ( ~ (all_0_111_111 = e23) & ~ (all_0_112_112 = e21) & ~ (all_0_113_113 = e20) & ~ (all_0_147_147 = e22)) | ( ~ (all_0_126_126 = e23) & ~ (all_0_127_127 = e22) & ~ (all_0_128_128 = e20) & ~ (all_0_161_161 = e21))
% 30.19/7.75 |
% 30.19/7.75 +-Applying beta-rule and splitting (6766), into two cases.
% 30.19/7.75 |-Branch one:
% 30.19/7.75 | (6767) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)) | (all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21)) | (all_0_245_245 = e23 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e20) & ~ (all_0_164_164 = e21)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e20) & ~ (all_0_133_133 = e23)) | ( ~ (all_0_111_111 = e23) & ~ (all_0_112_112 = e21) & ~ (all_0_113_113 = e20) & ~ (all_0_147_147 = e22))
% 30.19/7.76 |
% 30.19/7.76 +-Applying beta-rule and splitting (6767), into two cases.
% 30.19/7.76 |-Branch one:
% 30.19/7.76 | (6768) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)) | (all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21)) | (all_0_245_245 = e23 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e20) & ~ (all_0_164_164 = e21)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e20) & ~ (all_0_133_133 = e23))
% 30.19/7.76 |
% 30.19/7.76 +-Applying beta-rule and splitting (6768), into two cases.
% 30.19/7.76 |-Branch one:
% 30.19/7.76 | (6769) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)) | (all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21)) | (all_0_245_245 = e23 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e20) & ~ (all_0_164_164 = e21))
% 30.19/7.76 |
% 30.19/7.76 +-Applying beta-rule and splitting (6769), into two cases.
% 30.19/7.76 |-Branch one:
% 30.19/7.76 | (6770) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)) | (all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21))
% 30.19/7.76 |
% 30.19/7.76 +-Applying beta-rule and splitting (6770), into two cases.
% 30.19/7.76 |-Branch one:
% 30.19/7.76 | (6771) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22))
% 30.19/7.76 |
% 30.19/7.76 +-Applying beta-rule and splitting (6771), into two cases.
% 30.19/7.76 |-Branch one:
% 30.19/7.76 | (6772) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21))
% 30.19/7.76 |
% 30.19/7.76 +-Applying beta-rule and splitting (6772), into two cases.
% 30.19/7.76 |-Branch one:
% 30.19/7.76 | (6773) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22))
% 30.19/7.76 |
% 30.19/7.76 +-Applying beta-rule and splitting (6773), into two cases.
% 30.19/7.76 |-Branch one:
% 30.19/7.76 | (6774) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21))
% 30.19/7.76 |
% 30.19/7.76 +-Applying beta-rule and splitting (6774), into two cases.
% 30.19/7.76 |-Branch one:
% 30.19/7.76 | (6775) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23))
% 30.19/7.76 |
% 30.19/7.76 +-Applying beta-rule and splitting (6775), into two cases.
% 30.19/7.76 |-Branch one:
% 30.19/7.76 | (6776) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21))
% 30.19/7.76 |
% 30.19/7.76 +-Applying beta-rule and splitting (6776), into two cases.
% 30.19/7.76 |-Branch one:
% 30.19/7.76 | (6777) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23))
% 30.19/7.76 |
% 30.19/7.76 +-Applying beta-rule and splitting (6777), into two cases.
% 30.19/7.76 |-Branch one:
% 30.19/7.76 | (6778) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22))
% 30.19/7.76 |
% 30.19/7.76 +-Applying beta-rule and splitting (6778), into two cases.
% 30.19/7.76 |-Branch one:
% 30.19/7.76 | (6779) all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)
% 30.19/7.76 |
% 30.19/7.76 | Applying alpha-rule on (6779) yields:
% 30.19/7.76 | (6780) ~ (all_0_100_100 = e21)
% 30.19/7.76 | (6781) ~ (all_0_136_136 = e23)
% 30.19/7.76 | (6782) ~ (all_0_101_101 = e20)
% 30.19/7.77 | (6783) ~ (all_0_99_99 = e22)
% 30.19/7.77 | (6784) all_0_235_235 = all_0_238_238
% 30.19/7.77 |
% 30.19/7.77 | Equations (6765) can reduce 6782 to:
% 30.19/7.77 | (537) $false
% 30.19/7.77 |
% 30.19/7.77 |-The branch is then unsatisfiable
% 30.19/7.77 |-Branch two:
% 30.19/7.77 | (6786) all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)
% 30.19/7.77 |
% 30.19/7.77 | Applying alpha-rule on (6786) yields:
% 30.19/7.77 | (6787) ~ (all_0_109_109 = e21)
% 30.19/7.77 | (6788) ~ (all_0_145_145 = e22)
% 30.19/7.77 | (6789) ~ (all_0_110_110 = e20)
% 30.19/7.77 | (6790) ~ (all_0_108_108 = e23)
% 30.19/7.77 | (6784) all_0_235_235 = all_0_238_238
% 30.19/7.77 |
% 30.19/7.77 | Equations (6764) can reduce 6789 to:
% 30.19/7.77 | (537) $false
% 30.19/7.77 |
% 30.19/7.77 |-The branch is then unsatisfiable
% 30.19/7.77 |-Branch two:
% 30.19/7.77 | (6793) all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)
% 30.19/7.77 |
% 30.19/7.77 | Applying alpha-rule on (6793) yields:
% 30.19/7.77 | (6794) all_0_236_236 = all_0_242_242
% 30.19/7.77 | (6795) ~ (all_0_139_139 = e23)
% 30.19/7.77 | (6796) ~ (all_0_103_103 = e21)
% 30.19/7.77 | (6797) ~ (all_0_102_102 = e22)
% 30.19/7.77 | (6798) ~ (all_0_104_104 = e20)
% 30.19/7.77 |
% 30.19/7.77 | Combining equations (6794,656) yields a new equation:
% 30.19/7.77 | (6799) all_0_242_242 = e20
% 30.19/7.77 |
% 30.19/7.77 | Simplifying 6799 yields:
% 30.19/7.77 | (6800) all_0_242_242 = e20
% 30.19/7.77 |
% 30.19/7.77 | Combining equations (6800,500) yields a new equation:
% 30.19/7.77 | (664) e21 = e20
% 30.19/7.77 |
% 30.19/7.77 | Equations (664) can reduce 401 to:
% 30.19/7.77 | (537) $false
% 30.19/7.77 |
% 30.19/7.77 |-The branch is then unsatisfiable
% 30.19/7.77 |-Branch two:
% 30.19/7.77 | (6803) all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)
% 30.19/7.77 |
% 30.19/7.77 | Applying alpha-rule on (6803) yields:
% 30.19/7.77 | (6804) ~ (all_0_122_122 = e20)
% 30.19/7.77 | (6805) ~ (all_0_121_121 = e22)
% 30.19/7.77 | (6794) all_0_236_236 = all_0_242_242
% 30.19/7.77 | (6807) ~ (all_0_156_156 = e21)
% 30.19/7.77 | (6808) ~ (all_0_120_120 = e23)
% 30.19/7.77 |
% 30.19/7.77 | Combining equations (6794,656) yields a new equation:
% 30.19/7.77 | (6799) all_0_242_242 = e20
% 30.19/7.77 |
% 30.19/7.77 | Simplifying 6799 yields:
% 30.19/7.77 | (6800) all_0_242_242 = e20
% 30.19/7.77 |
% 30.19/7.77 | Combining equations (6800,500) yields a new equation:
% 30.19/7.77 | (664) e21 = e20
% 30.19/7.77 |
% 30.19/7.77 | Equations (664) can reduce 401 to:
% 30.19/7.77 | (537) $false
% 30.19/7.77 |
% 30.19/7.77 |-The branch is then unsatisfiable
% 30.19/7.77 |-Branch two:
% 30.19/7.77 | (6813) all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)
% 30.19/7.77 |
% 30.19/7.77 | Applying alpha-rule on (6813) yields:
% 30.19/7.77 | (675) all_0_237_237 = e20
% 30.19/7.77 | (6815) ~ (all_0_142_142 = e23)
% 30.19/7.77 | (6816) ~ (all_0_106_106 = e21)
% 30.19/7.77 | (6817) ~ (all_0_107_107 = e20)
% 30.19/7.77 | (6818) ~ (all_0_105_105 = e22)
% 30.19/7.77 |
% 30.19/7.77 | Combining equations (675,523) yields a new equation:
% 30.19/7.77 | (664) e21 = e20
% 30.19/7.77 |
% 30.19/7.77 | Equations (664) can reduce 401 to:
% 30.19/7.77 | (537) $false
% 30.19/7.77 |
% 30.19/7.77 |-The branch is then unsatisfiable
% 30.19/7.78 |-Branch two:
% 30.19/7.78 | (6821) all_0_237_237 = e20 & ~ (all_0_245_245 = e21)
% 30.19/7.78 |
% 30.19/7.78 | Applying alpha-rule on (6821) yields:
% 30.19/7.78 | (675) all_0_237_237 = e20
% 30.19/7.78 | (506) ~ (all_0_245_245 = e21)
% 30.19/7.78 |
% 30.19/7.78 | Combining equations (675,523) yields a new equation:
% 30.19/7.78 | (664) e21 = e20
% 30.19/7.78 |
% 30.19/7.78 | Equations (664) can reduce 401 to:
% 30.19/7.78 | (537) $false
% 30.19/7.78 |
% 30.19/7.78 |-The branch is then unsatisfiable
% 30.19/7.78 |-Branch two:
% 30.19/7.78 | (6826) all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)
% 30.19/7.78 |
% 30.19/7.78 | Applying alpha-rule on (6826) yields:
% 30.19/7.78 | (6827) ~ (all_0_150_150 = e22)
% 30.19/7.78 | (6828) ~ (all_0_115_115 = e21)
% 30.19/7.78 | (6829) ~ (all_0_114_114 = e23)
% 30.19/7.78 | (6830) all_0_240_240 = all_0_243_243
% 30.19/7.78 | (6831) ~ (all_0_116_116 = e20)
% 30.19/7.78 |
% 30.19/7.78 | Combining equations (540,6830) yields a new equation:
% 30.19/7.78 | (6832) all_0_243_243 = e21
% 30.19/7.78 |
% 30.19/7.78 | Combining equations (6832,6292) yields a new equation:
% 30.19/7.78 | (663) e21 = e20
% 30.19/7.78 |
% 30.19/7.78 | Simplifying 663 yields:
% 30.19/7.78 | (664) e21 = e20
% 30.19/7.78 |
% 30.19/7.78 | Equations (664) can reduce 401 to:
% 30.19/7.78 | (537) $false
% 30.19/7.78 |
% 30.19/7.78 |-The branch is then unsatisfiable
% 30.19/7.78 |-Branch two:
% 30.19/7.78 | (6836) all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)
% 30.19/7.78 |
% 30.19/7.78 | Applying alpha-rule on (6836) yields:
% 30.19/7.78 | (6837) ~ (all_0_123_123 = e23)
% 30.19/7.78 | (6830) all_0_240_240 = all_0_243_243
% 30.19/7.78 | (6839) ~ (all_0_159_159 = e21)
% 30.19/7.78 | (6840) ~ (all_0_124_124 = e22)
% 30.19/7.78 | (6841) ~ (all_0_125_125 = e20)
% 30.19/7.78 |
% 30.19/7.78 | Combining equations (540,6830) yields a new equation:
% 30.19/7.78 | (6832) all_0_243_243 = e21
% 30.19/7.78 |
% 30.19/7.78 | Combining equations (6832,6292) yields a new equation:
% 30.19/7.78 | (663) e21 = e20
% 30.19/7.78 |
% 30.19/7.78 | Simplifying 663 yields:
% 30.19/7.78 | (664) e21 = e20
% 30.19/7.78 |
% 30.19/7.78 | Equations (664) can reduce 401 to:
% 30.19/7.78 | (537) $false
% 30.19/7.78 |
% 30.19/7.78 |-The branch is then unsatisfiable
% 30.19/7.78 |-Branch two:
% 30.19/7.78 | (6846) all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)
% 30.19/7.78 |
% 30.19/7.78 | Applying alpha-rule on (6846) yields:
% 30.19/7.78 | (6847) ~ (all_0_119_119 = e20)
% 30.19/7.78 | (6848) ~ (all_0_117_117 = e23)
% 30.19/7.78 | (585) all_0_241_241 = e21
% 30.19/7.78 | (6850) ~ (all_0_153_153 = e22)
% 30.19/7.78 | (6851) ~ (all_0_118_118 = e21)
% 30.19/7.78 |
% 30.19/7.78 | Combining equations (681,585) yields a new equation:
% 30.19/7.78 | (664) e21 = e20
% 30.19/7.78 |
% 30.19/7.78 | Equations (664) can reduce 401 to:
% 30.19/7.78 | (537) $false
% 30.19/7.78 |
% 30.19/7.78 |-The branch is then unsatisfiable
% 30.19/7.78 |-Branch two:
% 30.19/7.78 | (6854) all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21)
% 30.19/7.78 |
% 30.19/7.78 | Applying alpha-rule on (6854) yields:
% 30.19/7.78 | (585) all_0_241_241 = e21
% 30.19/7.78 | (6338) ~ (all_0_240_240 = e22)
% 30.19/7.78 | (547) ~ (all_0_244_244 = e21)
% 30.19/7.78 |
% 30.19/7.78 | Combining equations (681,585) yields a new equation:
% 30.19/7.78 | (664) e21 = e20
% 30.19/7.78 |
% 30.19/7.78 | Equations (664) can reduce 401 to:
% 30.19/7.78 | (537) $false
% 30.19/7.78 |
% 30.19/7.78 |-The branch is then unsatisfiable
% 30.19/7.78 |-Branch two:
% 30.19/7.78 | (6860) all_0_245_245 = e23 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e20) & ~ (all_0_164_164 = e21)
% 30.19/7.78 |
% 30.32/7.78 | Applying alpha-rule on (6860) yields:
% 30.32/7.78 | (6861) ~ (all_0_164_164 = e21)
% 30.32/7.78 | (6862) ~ (all_0_129_129 = e23)
% 30.32/7.78 | (6863) ~ (all_0_131_131 = e20)
% 30.32/7.78 | (6864) ~ (all_0_130_130 = e22)
% 30.32/7.78 | (687) all_0_245_245 = e23
% 30.32/7.78 |
% 30.32/7.79 | Equations (6747) can reduce 6861 to:
% 30.32/7.79 | (537) $false
% 30.32/7.79 |
% 30.32/7.79 |-The branch is then unsatisfiable
% 30.32/7.79 |-Branch two:
% 30.32/7.79 | (6867) ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e20) & ~ (all_0_133_133 = e23)
% 30.32/7.79 |
% 30.32/7.79 | Applying alpha-rule on (6867) yields:
% 30.32/7.79 | (6868) ~ (all_0_96_96 = e22)
% 30.32/7.79 | (6869) ~ (all_0_97_97 = e21)
% 30.32/7.79 | (6870) ~ (all_0_98_98 = e20)
% 30.32/7.79 | (6871) ~ (all_0_133_133 = e23)
% 30.32/7.79 |
% 30.32/7.79 | Equations (6763) can reduce 6871 to:
% 30.32/7.79 | (537) $false
% 30.32/7.79 |
% 30.32/7.79 |-The branch is then unsatisfiable
% 30.32/7.79 |-Branch two:
% 30.32/7.79 | (6873) ~ (all_0_111_111 = e23) & ~ (all_0_112_112 = e21) & ~ (all_0_113_113 = e20) & ~ (all_0_147_147 = e22)
% 30.32/7.79 |
% 30.32/7.79 | Applying alpha-rule on (6873) yields:
% 30.32/7.79 | (6874) ~ (all_0_111_111 = e23)
% 30.32/7.79 | (6875) ~ (all_0_112_112 = e21)
% 30.32/7.79 | (6876) ~ (all_0_113_113 = e20)
% 30.32/7.79 | (6877) ~ (all_0_147_147 = e22)
% 30.32/7.79 |
% 30.32/7.79 | Equations (6762) can reduce 6877 to:
% 30.32/7.79 | (537) $false
% 30.32/7.79 |
% 30.32/7.79 |-The branch is then unsatisfiable
% 30.32/7.79 |-Branch two:
% 30.32/7.79 | (6879) ~ (all_0_126_126 = e23) & ~ (all_0_127_127 = e22) & ~ (all_0_128_128 = e20) & ~ (all_0_161_161 = e21)
% 30.32/7.79 |
% 30.32/7.79 | Applying alpha-rule on (6879) yields:
% 30.32/7.79 | (6880) ~ (all_0_126_126 = e23)
% 30.32/7.79 | (6881) ~ (all_0_127_127 = e22)
% 30.32/7.79 | (6882) ~ (all_0_128_128 = e20)
% 30.32/7.79 | (6883) ~ (all_0_161_161 = e21)
% 30.32/7.79 |
% 30.32/7.79 | Equations (6733) can reduce 6881 to:
% 30.32/7.79 | (537) $false
% 30.32/7.79 |
% 30.32/7.79 |-The branch is then unsatisfiable
% 30.32/7.79 |-Branch two:
% 30.32/7.79 | (6885) ~ (all_0_235_235 = e23) & ~ (all_0_239_239 = e22)
% 30.32/7.79 |
% 30.32/7.79 | Applying alpha-rule on (6885) yields:
% 30.32/7.79 | (606) ~ (all_0_235_235 = e23)
% 30.32/7.79 | (6318) ~ (all_0_239_239 = e22)
% 30.32/7.79 |
% 30.32/7.79 | Equations (6372) can reduce 6318 to:
% 30.32/7.79 | (537) $false
% 30.32/7.79 |
% 30.32/7.79 |-The branch is then unsatisfiable
% 30.32/7.79 |-Branch two:
% 30.32/7.79 | (606) ~ (all_0_235_235 = e23)
% 30.32/7.79 | (636) all_0_239_239 = e23 | all_0_243_243 = e23
% 30.32/7.79 |
% 30.32/7.79 +-Applying beta-rule and splitting (394), into two cases.
% 30.32/7.79 |-Branch one:
% 30.32/7.79 | (689) all_0_243_243 = e22
% 30.32/7.79 |
% 30.32/7.79 | Equations (689) can reduce 6287 to:
% 30.32/7.79 | (537) $false
% 30.32/7.79 |
% 30.32/7.79 |-The branch is then unsatisfiable
% 30.32/7.79 |-Branch two:
% 30.32/7.79 | (6287) ~ (all_0_243_243 = e22)
% 30.32/7.79 | (6288) all_0_243_243 = e23 | all_0_243_243 = e20
% 30.32/7.79 |
% 30.32/7.79 +-Applying beta-rule and splitting (6288), into two cases.
% 30.32/7.79 |-Branch one:
% 30.32/7.79 | (6284) all_0_243_243 = e23
% 30.32/7.79 |
% 30.32/7.79 | Equations (6284) can reduce 688 to:
% 30.32/7.79 | (537) $false
% 30.32/7.79 |
% 30.32/7.79 |-The branch is then unsatisfiable
% 30.32/7.79 |-Branch two:
% 30.32/7.79 | (688) ~ (all_0_243_243 = e23)
% 30.32/7.79 | (6292) all_0_243_243 = e20
% 30.32/7.79 |
% 30.32/7.79 | Equations (6292) can reduce 688 to:
% 30.32/7.79 | (671) ~ (e23 = e20)
% 30.32/7.79 |
% 30.32/7.79 | Simplifying 671 yields:
% 30.32/7.79 | (14) ~ (e23 = e20)
% 30.32/7.79 |
% 30.32/7.79 +-Applying beta-rule and splitting (636), into two cases.
% 30.32/7.79 |-Branch one:
% 30.32/7.79 | (692) all_0_239_239 = e23
% 30.32/7.79 |
% 30.32/7.79 | Combining equations (6372,692) yields a new equation:
% 30.32/7.79 | (639) e23 = e22
% 30.32/7.80 |
% 30.32/7.80 | Equations (639) can reduce 449 to:
% 30.32/7.80 | (537) $false
% 30.32/7.80 |
% 30.32/7.80 |-The branch is then unsatisfiable
% 30.32/7.80 |-Branch two:
% 30.32/7.80 | (6283) ~ (all_0_239_239 = e23)
% 30.32/7.80 | (6284) all_0_243_243 = e23
% 30.32/7.80 |
% 30.32/7.80 | Combining equations (6292,6284) yields a new equation:
% 30.32/7.80 | (684) e23 = e20
% 30.32/7.80 |
% 30.32/7.80 | Equations (684) can reduce 14 to:
% 30.32/7.80 | (537) $false
% 30.32/7.80 |
% 30.32/7.80 |-The branch is then unsatisfiable
% 30.32/7.80 |-Branch two:
% 30.32/7.80 | (6501) ~ (all_0_245_245 = e23)
% 30.32/7.80 | (6295) all_0_245_245 = e20
% 30.32/7.80 |
% 30.32/7.80 | Equations (6295) can reduce 670 to:
% 30.32/7.80 | (537) $false
% 30.32/7.80 |
% 30.32/7.80 |-The branch is then unsatisfiable
% 30.32/7.80 |-Branch two:
% 30.32/7.80 | (6318) ~ (all_0_239_239 = e22)
% 30.32/7.80 | (6335) all_0_240_240 = e22
% 30.32/7.80 |
% 30.32/7.80 | Combining equations (6335,540) yields a new equation:
% 30.32/7.80 | (6913) e22 = e21
% 30.32/7.80 |
% 30.32/7.80 | Simplifying 6913 yields:
% 30.32/7.80 | (6323) e22 = e21
% 30.32/7.80 |
% 30.32/7.80 | Equations (6323) can reduce 92 to:
% 30.32/7.80 | (537) $false
% 30.32/7.80 |
% 30.32/7.80 |-The branch is then unsatisfiable
% 30.32/7.80 |-Branch two:
% 30.32/7.80 | (6314) ~ (all_0_234_234 = e22)
% 30.32/7.80 | (6917) all_0_238_238 = e22 | all_0_242_242 = e22
% 30.32/7.80 |
% 30.32/7.80 +-Applying beta-rule and splitting (94), into two cases.
% 30.32/7.80 |-Branch one:
% 30.32/7.80 | (610) all_0_238_238 = e22
% 30.32/7.80 |
% 30.32/7.80 | Combining equations (637,610) yields a new equation:
% 30.32/7.80 | (638) e23 = e22
% 30.32/7.80 |
% 30.32/7.80 | Simplifying 638 yields:
% 30.32/7.80 | (639) e23 = e22
% 30.32/7.80 |
% 30.32/7.80 | Equations (639) can reduce 449 to:
% 30.32/7.80 | (537) $false
% 30.32/7.80 |
% 30.32/7.80 |-The branch is then unsatisfiable
% 30.32/7.80 |-Branch two:
% 30.32/7.80 | (6622) ~ (all_0_238_238 = e22)
% 30.32/7.80 | (6652) all_0_239_239 = e22 | all_0_240_240 = e22
% 30.32/7.80 |
% 30.32/7.80 | Equations (637) can reduce 6622 to:
% 30.32/7.80 | (449) ~ (e23 = e22)
% 30.32/7.80 |
% 30.32/7.80 +-Applying beta-rule and splitting (6917), into two cases.
% 30.32/7.80 |-Branch one:
% 30.32/7.80 | (610) all_0_238_238 = e22
% 30.32/7.80 |
% 30.32/7.80 | Combining equations (637,610) yields a new equation:
% 30.32/7.80 | (638) e23 = e22
% 30.32/7.80 |
% 30.32/7.80 | Simplifying 638 yields:
% 30.32/7.80 | (639) e23 = e22
% 30.32/7.80 |
% 30.32/7.80 | Equations (639) can reduce 449 to:
% 30.32/7.80 | (537) $false
% 30.32/7.80 |
% 30.32/7.80 |-The branch is then unsatisfiable
% 30.32/7.80 |-Branch two:
% 30.32/7.80 | (6622) ~ (all_0_238_238 = e22)
% 30.32/7.80 | (6322) all_0_242_242 = e22
% 30.32/7.80 |
% 30.32/7.80 | Combining equations (500,6322) yields a new equation:
% 30.32/7.80 | (6323) e22 = e21
% 30.32/7.80 |
% 30.32/7.80 | Equations (6323) can reduce 92 to:
% 30.32/7.80 | (537) $false
% 30.32/7.80 |
% 30.32/7.80 |-The branch is then unsatisfiable
% 30.32/7.80 |-Branch two:
% 30.32/7.80 | (608) ~ (all_0_238_238 = e23)
% 30.32/7.80 | (596) all_0_242_242 = e23
% 30.32/7.80 |
% 30.32/7.80 | Combining equations (596,500) yields a new equation:
% 30.32/7.80 | (597) e23 = e21
% 30.32/7.80 |
% 30.32/7.80 | Simplifying 597 yields:
% 30.32/7.80 | (590) e23 = e21
% 30.32/7.80 |
% 30.32/7.80 | Equations (590) can reduce 215 to:
% 30.32/7.80 | (537) $false
% 30.32/7.80 |
% 30.32/7.80 |-The branch is then unsatisfiable
% 30.32/7.80 |-Branch two:
% 30.32/7.80 | (6938) ~ (all_0_240_240 = e21)
% 30.32/7.80 | (585) all_0_241_241 = e21
% 30.32/7.80 |
% 30.32/7.80 | Equations (585) can reduce 527 to:
% 30.32/7.80 | (537) $false
% 30.32/7.80 |
% 30.32/7.80 |-The branch is then unsatisfiable
% 30.32/7.80 |-Branch two:
% 30.32/7.80 | (6941) ~ (all_0_237_237 = e21)
% 30.32/7.80 | (6942) all_0_241_241 = e21 | all_0_245_245 = e21
% 30.32/7.80 |
% 30.32/7.80 +-Applying beta-rule and splitting (205), into two cases.
% 30.32/7.80 |-Branch one:
% 30.32/7.80 | (573) all_0_234_234 = e21
% 30.32/7.80 |
% 30.32/7.80 | Equations (573) can reduce 501 to:
% 30.32/7.80 | (537) $false
% 30.32/7.80 |
% 30.32/7.80 |-The branch is then unsatisfiable
% 30.32/7.80 |-Branch two:
% 30.32/7.80 | (501) ~ (all_0_234_234 = e21)
% 30.32/7.80 | (6946) all_0_236_236 = e21 | all_0_237_237 = e21
% 30.32/7.80 |
% 30.32/7.80 +-Applying beta-rule and splitting (6942), into two cases.
% 30.32/7.80 |-Branch one:
% 30.32/7.80 | (585) all_0_241_241 = e21
% 30.32/7.80 |
% 30.32/7.80 | Equations (585) can reduce 245 to:
% 30.32/7.80 | (6941) ~ (all_0_237_237 = e21)
% 30.32/7.80 |
% 30.32/7.80 | Equations (585) can reduce 379 to:
% 30.32/7.80 | (18) ~ (all_0_239_239 = e21)
% 30.32/7.80 |
% 30.32/7.80 | Equations (585) can reduce 137 to:
% 30.32/7.80 | (505) ~ (all_0_245_245 = e21)
% 30.32/7.80 |
% 30.32/7.80 | Simplifying 505 yields:
% 30.32/7.80 | (506) ~ (all_0_245_245 = e21)
% 30.32/7.80 |
% 30.32/7.80 | Equations (585) can reduce 152 to:
% 30.32/7.80 | (530) ~ (e22 = e21)
% 30.32/7.80 |
% 30.32/7.80 | Simplifying 530 yields:
% 30.32/7.80 | (92) ~ (e22 = e21)
% 30.32/7.80 |
% 30.32/7.80 | From (585) and (463) follows:
% 30.32/7.80 | (6954) op2(e21, e22) = all_0_152_152
% 30.32/7.81 |
% 30.32/7.81 | From (585) and (277) follows:
% 30.32/7.81 | (6955) op2(e23, e21) = all_0_117_117
% 30.32/7.81 |
% 30.32/7.81 | From (585) and (172) follows:
% 30.32/7.81 | (6956) op2(e22, e21) = all_0_153_153
% 30.32/7.81 |
% 30.32/7.81 | From (585) and (336) follows:
% 30.32/7.81 | (6957) op2(e22, e20) = e21
% 30.32/7.81 |
% 30.32/7.81 | From (585) and (229) follows:
% 30.32/7.81 | (6958) op2(e20, e21) = all_0_119_119
% 30.32/7.81 |
% 30.32/7.81 +-Applying beta-rule and splitting (122), into two cases.
% 30.32/7.81 |-Branch one:
% 30.32/7.81 | (577) all_0_236_236 = e21
% 30.32/7.81 |
% 30.32/7.81 | Equations (577) can reduce 475 to:
% 30.32/7.81 | (501) ~ (all_0_234_234 = e21)
% 30.32/7.81 |
% 30.32/7.81 | Equations (577) can reduce 107 to:
% 30.32/7.81 | (416) ~ (all_0_235_235 = e21)
% 30.32/7.81 |
% 30.32/7.81 | Equations (577) can reduce 159 to:
% 30.32/7.81 | (6962) ~ (all_0_237_237 = e21)
% 30.32/7.81 |
% 30.32/7.81 | Simplifying 6962 yields:
% 30.32/7.81 | (6941) ~ (all_0_237_237 = e21)
% 30.32/7.81 |
% 30.32/7.81 | Equations (577) can reduce 79 to:
% 30.32/7.81 | (6964) ~ (all_0_240_240 = e21)
% 30.32/7.81 |
% 30.32/7.81 | Simplifying 6964 yields:
% 30.32/7.81 | (6938) ~ (all_0_240_240 = e21)
% 30.32/7.81 |
% 30.32/7.81 | Equations (577) can reduce 225 to:
% 30.32/7.81 | (546) ~ (all_0_244_244 = e21)
% 30.32/7.81 |
% 30.32/7.81 | Simplifying 546 yields:
% 30.32/7.81 | (547) ~ (all_0_244_244 = e21)
% 30.32/7.81 |
% 30.32/7.81 | Equations (577) can reduce 425 to:
% 30.32/7.81 | (548) ~ (e23 = e21)
% 30.32/7.81 |
% 30.32/7.81 | Simplifying 548 yields:
% 30.32/7.81 | (215) ~ (e23 = e21)
% 30.32/7.81 |
% 30.32/7.81 | From (577) and (81) follows:
% 30.32/7.81 | (6970) op2(e23, e21) = all_0_139_139
% 30.32/7.81 |
% 30.32/7.81 | From (577) and (451) follows:
% 30.32/7.81 | (6971) op2(e23, e21) = e21
% 30.32/7.81 |
% 30.32/7.81 | From (577) and (129) follows:
% 30.32/7.81 | (6972) op2(e22, e21) = all_0_102_102
% 30.32/7.81 |
% 30.32/7.81 | From (577) and (249) follows:
% 30.32/7.81 | (6973) op2(e20, e21) = all_0_104_104
% 30.32/7.81 |
% 30.32/7.81 | Instantiating formula (340) with e23, e21, all_0_139_139, all_0_117_117 and discharging atoms op2(e23, e21) = all_0_117_117, op2(e23, e21) = all_0_139_139, yields:
% 30.32/7.81 | (6974) all_0_117_117 = all_0_139_139
% 30.32/7.81 |
% 30.32/7.81 | Instantiating formula (340) with e23, e21, e21, all_0_117_117 and discharging atoms op2(e23, e21) = all_0_117_117, op2(e23, e21) = e21, yields:
% 30.32/7.81 | (6975) all_0_117_117 = e21
% 30.32/7.81 |
% 30.32/7.81 | Instantiating formula (340) with e22, e21, all_0_102_102, all_0_240_240 and discharging atoms op2(e22, e21) = all_0_102_102, op2(e22, e21) = all_0_240_240, yields:
% 30.32/7.81 | (6976) all_0_102_102 = all_0_240_240
% 30.32/7.81 |
% 30.32/7.81 | Instantiating formula (340) with e22, e21, all_0_153_153, all_0_102_102 and discharging atoms op2(e22, e21) = all_0_102_102, op2(e22, e21) = all_0_153_153, yields:
% 30.32/7.81 | (6977) all_0_102_102 = all_0_153_153
% 30.32/7.81 |
% 30.32/7.81 | Instantiating formula (340) with e21, e22, all_0_152_152, all_0_243_243 and discharging atoms op2(e21, e22) = all_0_152_152, op2(e21, e22) = all_0_243_243, yields:
% 30.32/7.81 | (6978) all_0_152_152 = all_0_243_243
% 30.32/7.81 |
% 30.32/7.81 | Instantiating formula (340) with e20, e21, all_0_104_104, e23 and discharging atoms op2(e20, e21) = all_0_104_104, op2(e20, e21) = e23, yields:
% 30.32/7.81 | (6979) all_0_104_104 = e23
% 30.32/7.81 |
% 30.32/7.81 | Instantiating formula (340) with e20, e21, all_0_119_119, all_0_104_104 and discharging atoms op2(e20, e21) = all_0_104_104, op2(e20, e21) = all_0_119_119, yields:
% 30.32/7.81 | (6980) all_0_104_104 = all_0_119_119
% 30.32/7.81 |
% 30.32/7.81 | Combining equations (6977,6976) yields a new equation:
% 30.32/7.81 | (6981) all_0_153_153 = all_0_240_240
% 30.32/7.81 |
% 30.32/7.81 | Simplifying 6981 yields:
% 30.32/7.81 | (6982) all_0_153_153 = all_0_240_240
% 30.32/7.81 |
% 30.32/7.81 | Combining equations (6979,6980) yields a new equation:
% 30.32/7.81 | (6983) all_0_119_119 = e23
% 30.32/7.81 |
% 30.32/7.81 | Combining equations (6974,6975) yields a new equation:
% 30.32/7.81 | (6984) all_0_139_139 = e21
% 30.32/7.81 |
% 30.32/7.81 | Simplifying 6984 yields:
% 30.32/7.81 | (6355) all_0_139_139 = e21
% 30.32/7.81 |
% 30.32/7.81 | From (6355) and (6970) follows:
% 30.32/7.81 | (6971) op2(e23, e21) = e21
% 30.32/7.81 |
% 30.32/7.81 | From (6978) and (6954) follows:
% 30.32/7.81 | (54) op2(e21, e22) = all_0_243_243
% 30.32/7.81 |
% 30.32/7.81 | From (6983) and (6958) follows:
% 30.32/7.81 | (323) op2(e20, e21) = e23
% 30.32/7.81 |
% 30.32/7.81 +-Applying beta-rule and splitting (276), into two cases.
% 30.32/7.81 |-Branch one:
% 30.32/7.81 | (540) all_0_240_240 = e21
% 30.32/7.81 |
% 30.32/7.81 | Equations (540) can reduce 6938 to:
% 30.32/7.81 | (537) $false
% 30.32/7.81 |
% 30.32/7.81 |-The branch is then unsatisfiable
% 30.32/7.81 |-Branch two:
% 30.32/7.81 | (6938) ~ (all_0_240_240 = e21)
% 30.32/7.81 | (6992) all_0_240_240 = e22 | all_0_240_240 = e20
% 30.32/7.81 |
% 30.32/7.81 +-Applying beta-rule and splitting (26), into two cases.
% 30.32/7.81 |-Branch one:
% 30.32/7.81 | (573) all_0_234_234 = e21
% 30.32/7.81 |
% 30.32/7.81 | Equations (573) can reduce 501 to:
% 30.32/7.81 | (537) $false
% 30.32/7.81 |
% 30.32/7.81 |-The branch is then unsatisfiable
% 30.32/7.81 |-Branch two:
% 30.32/7.81 | (501) ~ (all_0_234_234 = e21)
% 30.32/7.81 | (576) all_0_234_234 = e23 | all_0_234_234 = e22
% 30.32/7.81 |
% 30.32/7.81 +-Applying beta-rule and splitting (290), into two cases.
% 30.32/7.81 |-Branch one:
% 30.32/7.81 | (569) all_0_245_245 = e21
% 30.32/7.81 |
% 30.32/7.81 | Equations (569) can reduce 506 to:
% 30.32/7.81 | (537) $false
% 30.32/7.81 |
% 30.32/7.81 |-The branch is then unsatisfiable
% 30.32/7.81 |-Branch two:
% 30.32/7.81 | (506) ~ (all_0_245_245 = e21)
% 30.32/7.81 | (572) all_0_245_245 = e23 | all_0_245_245 = e20
% 30.32/7.82 |
% 30.32/7.82 +-Applying beta-rule and splitting (247), into two cases.
% 30.32/7.82 |-Branch one:
% 30.32/7.82 | (523) all_0_237_237 = e21
% 30.32/7.82 |
% 30.32/7.82 | Equations (523) can reduce 6941 to:
% 30.32/7.82 | (537) $false
% 30.32/7.82 |
% 30.32/7.82 |-The branch is then unsatisfiable
% 30.32/7.82 |-Branch two:
% 30.32/7.82 | (6941) ~ (all_0_237_237 = e21)
% 30.32/7.82 | (7004) all_0_237_237 = e23 | all_0_237_237 = e20
% 30.32/7.82 |
% 30.32/7.82 +-Applying beta-rule and splitting (280), into two cases.
% 30.32/7.82 |-Branch one:
% 30.32/7.82 | (581) all_0_244_244 = e21
% 30.32/7.82 |
% 30.32/7.82 | Equations (581) can reduce 547 to:
% 30.32/7.82 | (537) $false
% 30.32/7.82 |
% 30.32/7.82 |-The branch is then unsatisfiable
% 30.32/7.82 |-Branch two:
% 30.32/7.82 | (547) ~ (all_0_244_244 = e21)
% 30.32/7.82 | (584) all_0_244_244 = e22 | all_0_244_244 = e20
% 30.32/7.82 |
% 30.32/7.82 +-Applying beta-rule and splitting (254), into two cases.
% 30.32/7.82 |-Branch one:
% 30.32/7.82 | (6322) all_0_242_242 = e22
% 30.32/7.82 |
% 30.32/7.82 | Combining equations (6322,500) yields a new equation:
% 30.32/7.82 | (6913) e22 = e21
% 30.32/7.82 |
% 30.32/7.82 | Simplifying 6913 yields:
% 30.32/7.82 | (6323) e22 = e21
% 30.32/7.82 |
% 30.32/7.82 | Equations (6323) can reduce 92 to:
% 30.32/7.82 | (537) $false
% 30.32/7.82 |
% 30.32/7.82 |-The branch is then unsatisfiable
% 30.32/7.82 |-Branch two:
% 30.32/7.82 | (6325) ~ (all_0_242_242 = e22)
% 30.32/7.82 | (6326) all_0_243_243 = e22 | all_0_244_244 = e22
% 30.32/7.82 |
% 30.32/7.82 | Equations (500) can reduce 6325 to:
% 30.32/7.82 | (530) ~ (e22 = e21)
% 30.32/7.82 |
% 30.32/7.82 | Simplifying 530 yields:
% 30.32/7.82 | (92) ~ (e22 = e21)
% 30.32/7.82 |
% 30.32/7.82 +-Applying beta-rule and splitting (191), into two cases.
% 30.32/7.82 |-Branch one:
% 30.32/7.82 | (645) all_0_236_236 = e22
% 30.32/7.82 |
% 30.32/7.82 | Combining equations (577,645) yields a new equation:
% 30.32/7.82 | (6323) e22 = e21
% 30.32/7.82 |
% 30.32/7.82 | Equations (6323) can reduce 92 to:
% 30.32/7.82 | (537) $false
% 30.32/7.82 |
% 30.32/7.82 |-The branch is then unsatisfiable
% 30.32/7.82 |-Branch two:
% 30.32/7.82 | (6308) ~ (all_0_236_236 = e22)
% 30.32/7.82 | (6309) all_0_240_240 = e22 | all_0_244_244 = e22
% 30.32/7.82 |
% 30.32/7.82 | Equations (577) can reduce 6308 to:
% 30.32/7.82 | (530) ~ (e22 = e21)
% 30.32/7.82 |
% 30.32/7.82 | Simplifying 530 yields:
% 30.32/7.82 | (92) ~ (e22 = e21)
% 30.32/7.82 |
% 30.32/7.82 +-Applying beta-rule and splitting (64), into two cases.
% 30.32/7.82 |-Branch one:
% 30.32/7.82 | (6310) all_0_234_234 = e22
% 30.32/7.82 |
% 30.32/7.82 | Equations (6310) can reduce 76 to:
% 30.32/7.82 | (7025) ~ (all_0_237_237 = e22)
% 30.32/7.82 |
% 30.32/7.82 | Simplifying 7025 yields:
% 30.32/7.82 | (337) ~ (all_0_237_237 = e22)
% 30.32/7.82 |
% 30.32/7.82 | Equations (6310) can reduce 228 to:
% 30.32/7.82 | (7027) ~ (all_0_238_238 = e22)
% 30.32/7.82 |
% 30.32/7.82 | Simplifying 7027 yields:
% 30.32/7.82 | (6622) ~ (all_0_238_238 = e22)
% 30.32/7.82 |
% 30.32/7.82 | From (6310) and (307) follows:
% 30.32/7.82 | (7029) op2(all_0_93_93, e22) = all_0_2_2
% 30.32/7.82 |
% 30.32/7.82 | From (6310) and (106) follows:
% 30.32/7.82 | (7030) op2(e22, all_0_93_93) = all_0_8_8
% 30.32/7.82 |
% 30.32/7.82 | From (6310) and (477) follows:
% 30.32/7.82 | (7031) op2(e22, all_0_133_133) = all_0_12_12
% 30.32/7.82 |
% 30.32/7.82 | From (6310)(6310) and (149) follows:
% 30.32/7.82 | (6644) op2(e22, e22) = all_0_10_10
% 30.32/7.82 |
% 30.32/7.82 | From (6310) and (270) follows:
% 30.32/7.82 | (7033) op2(e22, e23) = all_0_132_132
% 30.32/7.82 |
% 30.32/7.82 | From (6310) and (471) follows:
% 30.32/7.82 | (6645) op2(e23, e22) = all_0_133_133
% 30.32/7.82 |
% 30.32/7.82 | From (6310) and (308) follows:
% 30.32/7.82 | (7035) op2(e23, e23) = e22
% 30.32/7.82 |
% 30.32/7.82 | From (6310) and (33) follows:
% 30.32/7.82 | (6646) op2(e22, e22) = all_0_96_96
% 30.32/7.82 |
% 30.32/7.82 | From (6310) and (118) follows:
% 30.32/7.82 | (7037) op2(e21, e22) = all_0_97_97
% 30.32/7.82 |
% 30.32/7.82 +-Applying beta-rule and splitting (98), into two cases.
% 30.32/7.82 |-Branch one:
% 30.32/7.82 | (604) all_0_234_234 = e23
% 30.32/7.82 |
% 30.32/7.82 | Combining equations (6310,604) yields a new equation:
% 30.32/7.82 | (639) e23 = e22
% 30.32/7.82 |
% 30.32/7.82 | Equations (639) can reduce 449 to:
% 30.32/7.82 | (537) $false
% 30.32/7.82 |
% 30.32/7.82 |-The branch is then unsatisfiable
% 30.32/7.82 |-Branch two:
% 30.32/7.82 | (6625) ~ (all_0_234_234 = e23)
% 30.32/7.82 | (6630) all_0_238_238 = e23 | all_0_242_242 = e23
% 30.32/7.82 |
% 30.32/7.82 +-Applying beta-rule and splitting (6630), into two cases.
% 30.32/7.82 |-Branch one:
% 30.32/7.82 | (637) all_0_238_238 = e23
% 30.32/7.82 |
% 30.32/7.82 | Equations (637) can reduce 306 to:
% 30.32/7.82 | (7044) ~ (all_0_240_240 = e23)
% 30.32/7.82 |
% 30.32/7.82 | Simplifying 7044 yields:
% 30.32/7.82 | (327) ~ (all_0_240_240 = e23)
% 30.32/7.82 |
% 30.32/7.82 | Equations (637) can reduce 6622 to:
% 30.32/7.83 | (449) ~ (e23 = e22)
% 30.32/7.83 |
% 30.32/7.83 | Equations (637) can reduce 208 to:
% 30.32/7.83 | (14) ~ (e23 = e20)
% 30.32/7.83 |
% 30.32/7.83 | From (637) and (70) follows:
% 30.32/7.83 | (7048) op2(e23, e23) = all_0_143_143
% 30.32/7.83 |
% 30.32/7.83 | From (637) and (133) follows:
% 30.32/7.83 | (6635) op2(e23, e22) = all_0_144_144
% 30.32/7.83 |
% 30.32/7.83 | From (637) and (283) follows:
% 30.32/7.83 | (7050) op2(e23, e23) = all_0_108_108
% 30.32/7.83 |
% 30.32/7.83 | From (637) and (235) follows:
% 30.32/7.83 | (7051) op2(e22, e23) = all_0_145_145
% 30.32/7.83 |
% 30.32/7.83 | From (637) and (171) follows:
% 30.32/7.83 | (7052) op2(e22, e23) = e23
% 30.32/7.83 |
% 30.32/7.83 | From (637) and (393) follows:
% 30.32/7.83 | (6637) op2(e20, e23) = all_0_110_110
% 30.32/7.83 |
% 30.32/7.83 | Instantiating formula (340) with e23, e23, all_0_143_143, all_0_108_108 and discharging atoms op2(e23, e23) = all_0_108_108, op2(e23, e23) = all_0_143_143, yields:
% 30.32/7.83 | (7054) all_0_108_108 = all_0_143_143
% 30.32/7.83 |
% 30.32/7.83 | Instantiating formula (340) with e23, e23, e22, all_0_108_108 and discharging atoms op2(e23, e23) = all_0_108_108, op2(e23, e23) = e22, yields:
% 30.32/7.83 | (7055) all_0_108_108 = e22
% 30.32/7.83 |
% 30.32/7.83 | Instantiating formula (340) with e23, e22, all_0_133_133, all_0_235_235 and discharging atoms op2(e23, e22) = all_0_133_133, op2(e23, e22) = all_0_235_235, yields:
% 30.32/7.83 | (7056) all_0_133_133 = all_0_235_235
% 30.32/7.83 |
% 30.32/7.83 | Instantiating formula (340) with e23, e22, all_0_144_144, all_0_133_133 and discharging atoms op2(e23, e22) = all_0_133_133, op2(e23, e22) = all_0_144_144, yields:
% 30.32/7.83 | (6752) all_0_133_133 = all_0_144_144
% 30.32/7.83 |
% 30.32/7.83 | Instantiating formula (340) with e22, e23, all_0_145_145, all_0_132_132 and discharging atoms op2(e22, e23) = all_0_132_132, op2(e22, e23) = all_0_145_145, yields:
% 30.32/7.83 | (7058) all_0_132_132 = all_0_145_145
% 30.32/7.83 |
% 30.32/7.83 | Instantiating formula (340) with e22, e23, e23, all_0_132_132 and discharging atoms op2(e22, e23) = all_0_132_132, op2(e22, e23) = e23, yields:
% 30.32/7.83 | (7059) all_0_132_132 = e23
% 30.32/7.83 |
% 30.32/7.83 | Instantiating formula (340) with e22, e22, all_0_10_10, all_0_239_239 and discharging atoms op2(e22, e22) = all_0_10_10, op2(e22, e22) = all_0_239_239, yields:
% 30.32/7.83 | (7060) all_0_10_10 = all_0_239_239
% 30.32/7.83 |
% 30.32/7.83 | Instantiating formula (340) with e22, e22, all_0_96_96, all_0_10_10 and discharging atoms op2(e22, e22) = all_0_10_10, op2(e22, e22) = all_0_96_96, yields:
% 30.32/7.83 | (7061) all_0_10_10 = all_0_96_96
% 30.32/7.83 |
% 30.32/7.83 | Instantiating formula (340) with e21, e22, all_0_97_97, all_0_243_243 and discharging atoms op2(e21, e22) = all_0_97_97, op2(e21, e22) = all_0_243_243, yields:
% 30.32/7.83 | (7062) all_0_97_97 = all_0_243_243
% 30.32/7.83 |
% 30.32/7.83 | Instantiating formula (340) with e20, e23, all_0_110_110, e20 and discharging atoms op2(e20, e23) = all_0_110_110, op2(e20, e23) = e20, yields:
% 30.32/7.83 | (6764) all_0_110_110 = e20
% 30.32/7.83 |
% 30.32/7.83 | Combining equations (7060,7061) yields a new equation:
% 30.32/7.83 | (7064) all_0_96_96 = all_0_239_239
% 30.32/7.83 |
% 30.32/7.83 | Combining equations (7054,7055) yields a new equation:
% 30.32/7.83 | (7065) all_0_143_143 = e22
% 30.32/7.83 |
% 30.48/7.83 | Simplifying 7065 yields:
% 30.48/7.83 | (7066) all_0_143_143 = e22
% 30.48/7.83 |
% 30.48/7.83 | Combining equations (7058,7059) yields a new equation:
% 30.48/7.83 | (7067) all_0_145_145 = e23
% 30.48/7.83 |
% 30.48/7.83 | Simplifying 7067 yields:
% 30.48/7.83 | (6394) all_0_145_145 = e23
% 30.48/7.83 |
% 30.48/7.83 | Combining equations (7056,6752) yields a new equation:
% 30.48/7.83 | (7069) all_0_144_144 = all_0_235_235
% 30.48/7.83 |
% 30.48/7.83 | Combining equations (7069,6752) yields a new equation:
% 30.48/7.83 | (7056) all_0_133_133 = all_0_235_235
% 30.48/7.83 |
% 30.48/7.83 | From (7056)(7056) and (261) follows:
% 30.48/7.83 | (7071) op2(all_0_235_235, all_0_235_235) = all_0_20_20
% 30.48/7.83 |
% 30.48/7.83 | From (7056) and (374) follows:
% 30.48/7.83 | (7072) op2(all_0_235_235, e23) = all_0_22_22
% 30.48/7.83 |
% 30.48/7.83 | From (7056) and (341) follows:
% 30.48/7.83 | (7073) op2(e23, all_0_235_235) = all_0_93_93
% 30.48/7.83 |
% 30.48/7.83 | From (7066) and (7048) follows:
% 30.48/7.83 | (7035) op2(e23, e23) = e22
% 30.48/7.83 |
% 30.48/7.83 | From (7056) and (7031) follows:
% 30.48/7.84 | (7075) op2(e22, all_0_235_235) = all_0_12_12
% 30.48/7.84 |
% 30.48/7.84 | From (7064) and (6646) follows:
% 30.48/7.84 | (256) op2(e22, e22) = all_0_239_239
% 30.48/7.84 |
% 30.48/7.84 | From (7062) and (7037) follows:
% 30.48/7.84 | (54) op2(e21, e22) = all_0_243_243
% 30.48/7.84 |
% 30.48/7.84 | From (6764) and (6637) follows:
% 30.48/7.84 | (253) op2(e20, e23) = e20
% 30.48/7.84 |
% 30.48/7.84 | Instantiating formula (340) with all_0_235_235, e23, all_0_22_22, all_0_135_135 and discharging atoms op2(all_0_235_235, e23) = all_0_22_22, op2(all_0_235_235, e23) = all_0_135_135, yields:
% 30.48/7.84 | (7079) all_0_22_22 = all_0_135_135
% 30.48/7.84 |
% 30.48/7.84 | Instantiating formula (340) with e23, all_0_235_235, all_0_93_93, all_0_136_136 and discharging atoms op2(e23, all_0_235_235) = all_0_93_93, op2(e23, all_0_235_235) = all_0_136_136, yields:
% 30.48/7.84 | (7080) all_0_93_93 = all_0_136_136
% 30.48/7.84 |
% 30.48/7.84 | Instantiating formula (340) with e22, all_0_235_235, all_0_12_12, all_0_99_99 and discharging atoms op2(e22, all_0_235_235) = all_0_12_12, op2(e22, all_0_235_235) = all_0_99_99, yields:
% 30.48/7.84 | (7081) all_0_12_12 = all_0_99_99
% 30.48/7.84 |
% 30.48/7.84 | From (7080)(7080) and (421) follows:
% 30.48/7.84 | (7082) op2(all_0_136_136, all_0_136_136) = all_0_0_0
% 30.48/7.84 |
% 30.48/7.84 | From (7080) and (7029) follows:
% 30.48/7.84 | (7083) op2(all_0_136_136, e22) = all_0_2_2
% 30.48/7.84 |
% 30.48/7.84 | From (7079) and (7072) follows:
% 30.48/7.84 | (325) op2(all_0_235_235, e23) = all_0_135_135
% 30.48/7.84 |
% 30.48/7.84 | From (7080) and (7073) follows:
% 30.48/7.84 | (313) op2(e23, all_0_235_235) = all_0_136_136
% 30.48/7.84 |
% 30.48/7.84 | From (7080) and (7030) follows:
% 30.48/7.84 | (7086) op2(e22, all_0_136_136) = all_0_8_8
% 30.48/7.84 |
% 30.48/7.84 | From (7081) and (7075) follows:
% 30.48/7.84 | (163) op2(e22, all_0_235_235) = all_0_99_99
% 30.48/7.84 |
% 30.48/7.84 +-Applying beta-rule and splitting (94), into two cases.
% 30.48/7.84 |-Branch one:
% 30.48/7.84 | (610) all_0_238_238 = e22
% 30.48/7.84 |
% 30.48/7.84 | Combining equations (637,610) yields a new equation:
% 30.48/7.84 | (638) e23 = e22
% 30.48/7.84 |
% 30.48/7.84 | Simplifying 638 yields:
% 30.48/7.84 | (639) e23 = e22
% 30.48/7.84 |
% 30.48/7.84 | Equations (639) can reduce 449 to:
% 30.48/7.84 | (537) $false
% 30.48/7.84 |
% 30.48/7.84 |-The branch is then unsatisfiable
% 30.48/7.84 |-Branch two:
% 30.48/7.84 | (6622) ~ (all_0_238_238 = e22)
% 30.48/7.84 | (6652) all_0_239_239 = e22 | all_0_240_240 = e22
% 30.48/7.84 |
% 30.48/7.84 | Equations (637) can reduce 6622 to:
% 30.48/7.84 | (449) ~ (e23 = e22)
% 30.48/7.84 |
% 30.48/7.84 +-Applying beta-rule and splitting (430), into two cases.
% 30.48/7.84 |-Branch one:
% 30.48/7.84 | (604) all_0_234_234 = e23
% 30.48/7.84 |
% 30.48/7.84 | Combining equations (6310,604) yields a new equation:
% 30.48/7.84 | (639) e23 = e22
% 30.48/7.84 |
% 30.48/7.84 | Equations (639) can reduce 449 to:
% 30.48/7.84 | (537) $false
% 30.48/7.84 |
% 30.48/7.84 |-The branch is then unsatisfiable
% 30.48/7.84 |-Branch two:
% 30.48/7.84 | (6625) ~ (all_0_234_234 = e23)
% 30.48/7.84 | (6626) all_0_235_235 = e23 | all_0_237_237 = e23
% 30.48/7.84 |
% 30.48/7.84 +-Applying beta-rule and splitting (204), into two cases.
% 30.48/7.84 |-Branch one:
% 30.48/7.84 | (589) all_0_237_237 = e23
% 30.48/7.84 |
% 30.48/7.84 | Equations (589) can reduce 418 to:
% 30.48/7.84 | (6500) ~ (all_0_245_245 = e23)
% 30.48/7.84 |
% 30.48/7.84 | Simplifying 6500 yields:
% 30.48/7.84 | (6501) ~ (all_0_245_245 = e23)
% 30.48/7.84 |
% 30.48/7.84 | Equations (589) can reduce 337 to:
% 30.48/7.84 | (449) ~ (e23 = e22)
% 30.48/7.84 |
% 30.48/7.84 | Equations (589) can reduce 6941 to:
% 30.48/7.84 | (215) ~ (e23 = e21)
% 30.48/7.84 |
% 30.48/7.84 | From (589) and (268) follows:
% 30.48/7.84 | (7105) op2(e23, e23) = all_0_141_141
% 30.48/7.84 |
% 30.48/7.84 | From (589) and (4) follows:
% 30.48/7.84 | (7106) op2(e23, e23) = all_0_142_142
% 30.48/7.84 |
% 30.48/7.84 | From (589) and (201) follows:
% 30.48/7.84 | (7107) op2(e20, e23) = all_0_107_107
% 30.48/7.84 |
% 30.48/7.84 +-Applying beta-rule and splitting (390), into two cases.
% 30.48/7.84 |-Branch one:
% 30.48/7.84 | (596) all_0_242_242 = e23
% 30.48/7.84 |
% 30.48/7.84 | Combining equations (500,596) yields a new equation:
% 30.48/7.84 | (590) e23 = e21
% 30.48/7.84 |
% 30.48/7.84 | Equations (590) can reduce 215 to:
% 30.48/7.84 | (537) $false
% 30.48/7.84 |
% 30.48/7.84 |-The branch is then unsatisfiable
% 30.48/7.84 |-Branch two:
% 30.48/7.84 | (600) ~ (all_0_242_242 = e23)
% 30.48/7.84 | (601) all_0_243_243 = e23 | all_0_245_245 = e23
% 30.48/7.84 |
% 30.48/7.84 +-Applying beta-rule and splitting (157), into two cases.
% 30.48/7.84 |-Branch one:
% 30.52/7.84 | (651) all_0_235_235 = e20
% 30.52/7.84 |
% 30.52/7.84 | Combining equations (651,7069) yields a new equation:
% 30.52/7.84 | (6506) all_0_144_144 = e20
% 30.52/7.84 |
% 30.52/7.84 | Equations (651) can reduce 415 to:
% 30.52/7.84 | (7115) ~ (all_0_239_239 = e20)
% 30.52/7.84 |
% 30.52/7.84 | Simplifying 7115 yields:
% 30.52/7.84 | (6378) ~ (all_0_239_239 = e20)
% 30.52/7.84 |
% 30.52/7.84 | Equations (651) can reduce 212 to:
% 30.52/7.84 | (7117) ~ (all_0_243_243 = e20)
% 30.52/7.84 |
% 30.52/7.84 | Simplifying 7117 yields:
% 30.52/7.84 | (668) ~ (all_0_243_243 = e20)
% 30.52/7.84 |
% 30.52/7.85 | Equations (651) can reduce 416 to:
% 30.52/7.85 | (654) ~ (e21 = e20)
% 30.52/7.85 |
% 30.52/7.85 | Simplifying 654 yields:
% 30.52/7.85 | (401) ~ (e21 = e20)
% 30.52/7.85 |
% 30.52/7.85 | From (651) and (325) follows:
% 30.52/7.85 | (7121) op2(e20, e23) = all_0_135_135
% 30.52/7.85 |
% 30.52/7.85 | From (651) and (163) follows:
% 30.52/7.85 | (7122) op2(e22, e20) = all_0_99_99
% 30.52/7.85 |
% 30.52/7.85 +-Applying beta-rule and splitting (601), into two cases.
% 30.52/7.85 |-Branch one:
% 30.52/7.85 | (6284) all_0_243_243 = e23
% 30.52/7.85 |
% 30.52/7.85 | Combining equations (6284,6978) yields a new equation:
% 30.52/7.85 | (7124) all_0_152_152 = e23
% 30.52/7.85 |
% 30.52/7.85 | Equations (6284) can reduce 362 to:
% 30.52/7.85 | (7125) ~ (all_0_244_244 = e23)
% 30.52/7.85 |
% 30.52/7.85 | Simplifying 7125 yields:
% 30.52/7.85 | (95) ~ (all_0_244_244 = e23)
% 30.52/7.85 |
% 30.52/7.85 | Equations (6284) can reduce 74 to:
% 30.52/7.85 | (215) ~ (e23 = e21)
% 30.52/7.85 |
% 30.52/7.85 | Equations (6284) can reduce 668 to:
% 30.52/7.85 | (14) ~ (e23 = e20)
% 30.52/7.85 |
% 30.52/7.85 | From (6284) and (258) follows:
% 30.52/7.85 | (6504) op2(e23, e21) = all_0_158_158
% 30.52/7.85 |
% 30.52/7.85 | From (6284) and (376) follows:
% 30.52/7.85 | (7130) op2(e23, e23) = all_0_123_123
% 30.52/7.85 |
% 30.52/7.85 | From (6284) and (467) follows:
% 30.52/7.85 | (7131) op2(e20, e23) = all_0_125_125
% 30.52/7.85 |
% 30.52/7.85 +-Applying beta-rule and splitting (82), into two cases.
% 30.52/7.85 |-Branch one:
% 30.52/7.85 | (6372) all_0_239_239 = e22
% 30.52/7.85 |
% 30.52/7.85 | Equations (6372) can reduce 84 to:
% 30.52/7.85 | (7133) ~ (all_0_240_240 = e22)
% 30.52/7.85 |
% 30.52/7.85 | Simplifying 7133 yields:
% 30.52/7.85 | (6338) ~ (all_0_240_240 = e22)
% 30.52/7.85 |
% 30.52/7.85 | Equations (6372) can reduce 6378 to:
% 30.52/7.85 | (294) ~ (e22 = e20)
% 30.52/7.85 |
% 30.52/7.85 +-Applying beta-rule and splitting (452), into two cases.
% 30.52/7.85 |-Branch one:
% 30.52/7.85 | (675) all_0_237_237 = e20
% 30.52/7.85 |
% 30.52/7.85 | Combining equations (675,589) yields a new equation:
% 30.52/7.85 | (684) e23 = e20
% 30.52/7.85 |
% 30.52/7.85 | Equations (684) can reduce 14 to:
% 30.52/7.85 | (537) $false
% 30.52/7.85 |
% 30.52/7.85 |-The branch is then unsatisfiable
% 30.52/7.85 |-Branch two:
% 30.52/7.85 | (679) ~ (all_0_237_237 = e20)
% 30.52/7.85 | (680) all_0_241_241 = e20 | all_0_245_245 = e20
% 30.52/7.85 |
% 30.52/7.85 +-Applying beta-rule and splitting (234), into two cases.
% 30.52/7.85 |-Branch one:
% 30.52/7.85 | (6389) all_0_239_239 = e20
% 30.52/7.85 |
% 30.52/7.85 | Combining equations (6372,6389) yields a new equation:
% 30.52/7.85 | (657) e22 = e20
% 30.52/7.85 |
% 30.52/7.85 | Simplifying 657 yields:
% 30.52/7.85 | (658) e22 = e20
% 30.52/7.85 |
% 30.52/7.85 | Equations (658) can reduce 294 to:
% 30.52/7.85 | (537) $false
% 30.52/7.85 |
% 30.52/7.85 |-The branch is then unsatisfiable
% 30.52/7.85 |-Branch two:
% 30.52/7.85 | (6378) ~ (all_0_239_239 = e20)
% 30.52/7.85 | (6392) all_0_240_240 = e20 | all_0_241_241 = e20
% 30.52/7.85 |
% 30.52/7.85 +-Applying beta-rule and splitting (680), into two cases.
% 30.52/7.85 |-Branch one:
% 30.52/7.85 | (681) all_0_241_241 = e20
% 30.52/7.85 |
% 30.52/7.85 | Combining equations (681,585) yields a new equation:
% 30.52/7.85 | (664) e21 = e20
% 30.52/7.85 |
% 30.52/7.85 | Equations (664) can reduce 401 to:
% 30.52/7.85 | (537) $false
% 30.52/7.85 |
% 30.52/7.85 |-The branch is then unsatisfiable
% 30.52/7.85 |-Branch two:
% 30.52/7.85 | (6294) ~ (all_0_241_241 = e20)
% 30.52/7.85 | (6295) all_0_245_245 = e20
% 30.52/7.85 |
% 30.52/7.85 | Equations (6295) can reduce 506 to:
% 30.52/7.85 | (654) ~ (e21 = e20)
% 30.52/7.85 |
% 30.52/7.85 | Simplifying 654 yields:
% 30.52/7.85 | (401) ~ (e21 = e20)
% 30.52/7.85 |
% 30.52/7.85 | From (6295) and (110) follows:
% 30.52/7.85 | (6521) op2(e20, e21) = all_0_163_163
% 30.52/7.85 |
% 30.52/7.85 | From (6295) and (164) follows:
% 30.52/7.85 | (7155) op2(e22, e20) = all_0_130_130
% 30.52/7.85 |
% 30.52/7.85 +-Applying beta-rule and splitting (324), into two cases.
% 30.52/7.85 |-Branch one:
% 30.52/7.85 | (656) all_0_236_236 = e20
% 30.52/7.85 |
% 30.52/7.85 | Combining equations (577,656) yields a new equation:
% 30.52/7.85 | (663) e21 = e20
% 30.52/7.85 |
% 30.52/7.85 | Simplifying 663 yields:
% 30.52/7.85 | (664) e21 = e20
% 30.52/7.85 |
% 30.52/7.85 | Equations (664) can reduce 401 to:
% 30.52/7.85 | (537) $false
% 30.52/7.85 |
% 30.52/7.85 |-The branch is then unsatisfiable
% 30.52/7.85 |-Branch two:
% 30.52/7.85 | (660) ~ (all_0_236_236 = e20)
% 30.52/7.85 | (661) all_0_240_240 = e20 | all_0_244_244 = e20
% 30.52/7.85 |
% 30.52/7.85 | Equations (577) can reduce 660 to:
% 30.52/7.85 | (401) ~ (e21 = e20)
% 30.52/7.85 |
% 30.52/7.85 +-Applying beta-rule and splitting (6392), into two cases.
% 30.52/7.85 |-Branch one:
% 30.52/7.85 | (662) all_0_240_240 = e20
% 30.52/7.85 |
% 30.52/7.85 | Equations (662) can reduce 350 to:
% 30.52/7.85 | (7164) ~ (all_0_244_244 = e20)
% 30.52/7.85 |
% 30.52/7.85 | Simplifying 7164 yields:
% 30.52/7.85 | (6512) ~ (all_0_244_244 = e20)
% 30.52/7.85 |
% 30.52/7.85 | Equations (662) can reduce 327 to:
% 30.52/7.85 | (671) ~ (e23 = e20)
% 30.52/7.85 |
% 30.52/7.85 | Simplifying 671 yields:
% 30.52/7.85 | (14) ~ (e23 = e20)
% 30.52/7.85 |
% 30.52/7.85 | Equations (662) can reduce 6338 to:
% 30.52/7.85 | (652) ~ (e22 = e20)
% 30.52/7.85 |
% 30.52/7.85 | Simplifying 652 yields:
% 30.52/7.86 | (294) ~ (e22 = e20)
% 30.52/7.86 |
% 30.52/7.86 | From (662) and (5) follows:
% 30.52/7.86 | (7170) op2(e20, e21) = all_0_148_148
% 30.52/7.86 |
% 30.52/7.86 | From (662) and (359) follows:
% 30.52/7.86 | (7171) op2(e22, e20) = all_0_150_150
% 30.52/7.86 |
% 30.52/7.86 +-Applying beta-rule and splitting (6309), into two cases.
% 30.52/7.86 |-Branch one:
% 30.52/7.86 | (6335) all_0_240_240 = e22
% 30.52/7.86 |
% 30.52/7.86 | Combining equations (662,6335) yields a new equation:
% 30.52/7.86 | (658) e22 = e20
% 30.52/7.86 |
% 30.52/7.86 | Equations (658) can reduce 294 to:
% 30.52/7.86 | (537) $false
% 30.52/7.86 |
% 30.52/7.86 |-The branch is then unsatisfiable
% 30.52/7.86 |-Branch two:
% 30.52/7.86 | (6338) ~ (all_0_240_240 = e22)
% 30.52/7.86 | (6339) all_0_244_244 = e22
% 30.52/7.86 |
% 30.52/7.86 | Combining equations (6339,517) yields a new equation:
% 30.52/7.86 | (6340) all_0_155_155 = e22
% 30.52/7.86 |
% 30.52/7.86 | Equations (6339) can reduce 95 to:
% 30.52/7.86 | (613) ~ (e23 = e22)
% 30.52/7.86 |
% 30.52/7.86 | Simplifying 613 yields:
% 30.52/7.86 | (449) ~ (e23 = e22)
% 30.52/7.86 |
% 30.52/7.86 | Equations (6339) can reduce 547 to:
% 30.52/7.86 | (92) ~ (e22 = e21)
% 30.52/7.86 |
% 30.52/7.86 | Equations (6339) can reduce 6512 to:
% 30.52/7.86 | (294) ~ (e22 = e20)
% 30.52/7.86 |
% 30.52/7.86 | Instantiating formula (340) with e23, e23, all_0_123_123, e22 and discharging atoms op2(e23, e23) = all_0_123_123, op2(e23, e23) = e22, yields:
% 30.52/7.86 | (7182) all_0_123_123 = e22
% 30.52/7.86 |
% 30.52/7.86 | Instantiating formula (340) with e23, e23, all_0_141_141, all_0_123_123 and discharging atoms op2(e23, e23) = all_0_123_123, op2(e23, e23) = all_0_141_141, yields:
% 30.52/7.86 | (7183) all_0_123_123 = all_0_141_141
% 30.52/7.86 |
% 30.52/7.86 | Instantiating formula (340) with e23, e23, all_0_142_142, all_0_141_141 and discharging atoms op2(e23, e23) = all_0_141_141, op2(e23, e23) = all_0_142_142, yields:
% 30.52/7.86 | (7184) all_0_141_141 = all_0_142_142
% 30.52/7.86 |
% 30.52/7.86 | Instantiating formula (340) with e23, e21, all_0_158_158, e21 and discharging atoms op2(e23, e21) = all_0_158_158, op2(e23, e21) = e21, yields:
% 30.52/7.86 | (7185) all_0_158_158 = e21
% 30.52/7.86 |
% 30.52/7.86 | Instantiating formula (340) with e22, e20, all_0_99_99, e21 and discharging atoms op2(e22, e20) = all_0_99_99, op2(e22, e20) = e21, yields:
% 30.52/7.86 | (7186) all_0_99_99 = e21
% 30.52/7.86 |
% 30.52/7.86 | Instantiating formula (340) with e22, e20, all_0_130_130, all_0_99_99 and discharging atoms op2(e22, e20) = all_0_99_99, op2(e22, e20) = all_0_130_130, yields:
% 30.52/7.86 | (7187) all_0_99_99 = all_0_130_130
% 30.52/7.86 |
% 30.52/7.86 | Instantiating formula (340) with e22, e20, all_0_150_150, all_0_130_130 and discharging atoms op2(e22, e20) = all_0_130_130, op2(e22, e20) = all_0_150_150, yields:
% 30.52/7.86 | (7188) all_0_130_130 = all_0_150_150
% 30.52/7.86 |
% 30.52/7.86 | Instantiating formula (340) with e20, e23, all_0_107_107, e20 and discharging atoms op2(e20, e23) = all_0_107_107, op2(e20, e23) = e20, yields:
% 30.52/7.86 | (7189) all_0_107_107 = e20
% 30.52/7.86 |
% 30.52/7.86 | Instantiating formula (340) with e20, e23, all_0_125_125, all_0_107_107 and discharging atoms op2(e20, e23) = all_0_107_107, op2(e20, e23) = all_0_125_125, yields:
% 30.52/7.86 | (7190) all_0_107_107 = all_0_125_125
% 30.52/7.86 |
% 30.52/7.86 | Instantiating formula (340) with e20, e23, all_0_135_135, all_0_125_125 and discharging atoms op2(e20, e23) = all_0_125_125, op2(e20, e23) = all_0_135_135, yields:
% 30.52/7.86 | (7191) all_0_125_125 = all_0_135_135
% 30.52/7.86 |
% 30.52/7.86 | Instantiating formula (340) with e20, e21, all_0_148_148, e23 and discharging atoms op2(e20, e21) = all_0_148_148, op2(e20, e21) = e23, yields:
% 30.52/7.86 | (7192) all_0_148_148 = e23
% 30.52/7.86 |
% 30.52/7.86 | Instantiating formula (340) with e20, e21, all_0_163_163, all_0_148_148 and discharging atoms op2(e20, e21) = all_0_148_148, op2(e20, e21) = all_0_163_163, yields:
% 30.52/7.86 | (7193) all_0_148_148 = all_0_163_163
% 30.52/7.86 |
% 30.52/7.86 | Combining equations (7187,7186) yields a new equation:
% 30.52/7.86 | (7194) all_0_130_130 = e21
% 30.52/7.86 |
% 30.52/7.86 | Simplifying 7194 yields:
% 30.52/7.86 | (7195) all_0_130_130 = e21
% 30.52/7.86 |
% 30.52/7.86 | Combining equations (7190,7189) yields a new equation:
% 30.52/7.86 | (7196) all_0_125_125 = e20
% 30.52/7.86 |
% 30.52/7.86 | Simplifying 7196 yields:
% 30.52/7.86 | (7197) all_0_125_125 = e20
% 30.52/7.86 |
% 30.52/7.86 | Combining equations (7183,7182) yields a new equation:
% 30.52/7.86 | (7198) all_0_141_141 = e22
% 30.52/7.86 |
% 30.52/7.86 | Simplifying 7198 yields:
% 30.52/7.86 | (7199) all_0_141_141 = e22
% 30.52/7.86 |
% 30.52/7.86 | Combining equations (7191,7197) yields a new equation:
% 30.52/7.86 | (7200) all_0_135_135 = e20
% 30.52/7.86 |
% 30.52/7.87 | Simplifying 7200 yields:
% 30.52/7.87 | (7201) all_0_135_135 = e20
% 30.52/7.87 |
% 30.52/7.87 | Combining equations (7188,7195) yields a new equation:
% 30.52/7.87 | (7202) all_0_150_150 = e21
% 30.52/7.87 |
% 30.52/7.87 | Simplifying 7202 yields:
% 30.52/7.87 | (7203) all_0_150_150 = e21
% 30.52/7.87 |
% 30.52/7.87 | Combining equations (7199,7184) yields a new equation:
% 30.52/7.87 | (7204) all_0_142_142 = e22
% 30.52/7.87 |
% 30.52/7.87 | Combining equations (7193,7192) yields a new equation:
% 30.52/7.87 | (7205) all_0_163_163 = e23
% 30.52/7.87 |
% 30.52/7.87 | Simplifying 7205 yields:
% 30.52/7.87 | (6530) all_0_163_163 = e23
% 30.52/7.87 |
% 30.52/7.87 | Combining equations (7204,7184) yields a new equation:
% 30.52/7.87 | (7199) all_0_141_141 = e22
% 30.52/7.87 |
% 30.52/7.87 +-Applying beta-rule and splitting (69), into two cases.
% 30.52/7.87 |-Branch one:
% 30.52/7.87 | (6421) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)) | (all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20))
% 30.52/7.87 |
% 30.52/7.87 +-Applying beta-rule and splitting (6421), into two cases.
% 30.52/7.87 |-Branch one:
% 30.52/7.87 | (6422) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22))
% 30.52/7.87 |
% 30.52/7.87 +-Applying beta-rule and splitting (6422), into two cases.
% 30.52/7.87 |-Branch one:
% 30.52/7.87 | (6423) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23))
% 30.52/7.87 |
% 30.52/7.87 +-Applying beta-rule and splitting (6423), into two cases.
% 30.52/7.87 |-Branch one:
% 30.52/7.87 | (6424) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20))
% 30.52/7.87 |
% 30.52/7.87 +-Applying beta-rule and splitting (6424), into two cases.
% 30.52/7.87 |-Branch one:
% 30.52/7.87 | (6425) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21))
% 30.52/7.87 |
% 30.52/7.87 +-Applying beta-rule and splitting (6425), into two cases.
% 30.52/7.87 |-Branch one:
% 30.52/7.87 | (6426) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23))
% 30.52/7.87 |
% 30.52/7.87 +-Applying beta-rule and splitting (6426), into two cases.
% 30.52/7.87 |-Branch one:
% 30.52/7.87 | (6427) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20))
% 30.52/7.87 |
% 30.52/7.87 +-Applying beta-rule and splitting (6427), into two cases.
% 30.52/7.87 |-Branch one:
% 30.52/7.87 | (6428) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21))
% 30.52/7.87 |
% 30.52/7.87 +-Applying beta-rule and splitting (6428), into two cases.
% 30.52/7.87 |-Branch one:
% 30.52/7.87 | (6429) all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)
% 30.52/7.87 |
% 30.52/7.87 | Applying alpha-rule on (6429) yields:
% 30.52/7.87 | (6430) all_0_135_135 = e22
% 30.52/7.87 | (6431) ~ (all_0_134_134 = e23)
% 30.52/7.87 | (6432) ~ (all_0_136_136 = e22)
% 30.52/7.87 |
% 30.52/7.87 | Combining equations (7201,6430) yields a new equation:
% 30.52/7.87 | (658) e22 = e20
% 30.52/7.87 |
% 30.52/7.87 | Equations (658) can reduce 294 to:
% 30.52/7.87 | (537) $false
% 30.52/7.87 |
% 30.52/7.87 |-The branch is then unsatisfiable
% 30.52/7.87 |-Branch two:
% 30.52/7.87 | (6434) all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)
% 30.52/7.87 |
% 30.52/7.87 | Applying alpha-rule on (6434) yields:
% 30.52/7.87 | (6435) all_0_138_138 = e21
% 30.52/7.88 | (6436) ~ (all_0_137_137 = e23)
% 30.52/7.88 | (6437) ~ (all_0_139_139 = e21)
% 30.52/7.88 |
% 30.52/7.88 | Equations (6355) can reduce 6437 to:
% 30.52/7.88 | (537) $false
% 30.52/7.88 |
% 30.52/7.88 |-The branch is then unsatisfiable
% 30.52/7.88 |-Branch two:
% 30.52/7.88 | (6441) all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)
% 30.52/7.88 |
% 30.52/7.88 | Applying alpha-rule on (6441) yields:
% 30.52/7.88 | (6442) all_0_141_141 = e20
% 30.52/7.88 | (6443) ~ (all_0_140_140 = e23)
% 30.52/7.88 | (6444) ~ (all_0_142_142 = e20)
% 30.52/7.88 |
% 30.52/7.88 | Combining equations (7199,6442) yields a new equation:
% 30.52/7.88 | (657) e22 = e20
% 30.52/7.88 |
% 30.52/7.88 | Simplifying 657 yields:
% 30.52/7.88 | (658) e22 = e20
% 30.52/7.88 |
% 30.52/7.88 | Equations (658) can reduce 294 to:
% 30.52/7.88 | (537) $false
% 30.52/7.88 |
% 30.52/7.88 |-The branch is then unsatisfiable
% 30.52/7.88 |-Branch two:
% 30.52/7.88 | (6447) all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)
% 30.52/7.88 |
% 30.52/7.88 | Applying alpha-rule on (6447) yields:
% 30.52/7.88 | (6448) all_0_144_144 = e23
% 30.52/7.88 | (6449) ~ (all_0_143_143 = e22)
% 30.52/7.88 | (6450) ~ (all_0_145_145 = e23)
% 30.52/7.88 |
% 30.52/7.88 | Combining equations (6506,6448) yields a new equation:
% 30.52/7.88 | (684) e23 = e20
% 30.52/7.88 |
% 30.52/7.88 | Equations (684) can reduce 14 to:
% 30.52/7.88 | (537) $false
% 30.52/7.88 |
% 30.52/7.88 |-The branch is then unsatisfiable
% 30.52/7.88 |-Branch two:
% 30.52/7.88 | (6452) all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)
% 30.52/7.88 |
% 30.52/7.88 | Applying alpha-rule on (6452) yields:
% 30.52/7.88 | (6453) all_0_149_149 = e21
% 30.52/7.88 | (6454) ~ (all_0_148_148 = e22)
% 30.52/7.88 | (6455) ~ (all_0_150_150 = e21)
% 30.52/7.88 |
% 30.52/7.88 | Equations (7203) can reduce 6455 to:
% 30.52/7.88 | (537) $false
% 30.52/7.88 |
% 30.52/7.88 |-The branch is then unsatisfiable
% 30.52/7.88 |-Branch two:
% 30.52/7.88 | (6458) all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)
% 30.52/7.88 |
% 30.52/7.88 | Applying alpha-rule on (6458) yields:
% 30.52/7.88 | (6459) all_0_152_152 = e20
% 30.52/7.88 | (6460) ~ (all_0_151_151 = e22)
% 30.52/7.88 | (6461) ~ (all_0_153_153 = e20)
% 30.52/7.88 |
% 30.52/7.88 | Combining equations (7124,6459) yields a new equation:
% 30.52/7.88 | (683) e23 = e20
% 30.52/7.88 |
% 30.52/7.88 | Simplifying 683 yields:
% 30.52/7.88 | (684) e23 = e20
% 30.52/7.88 |
% 30.52/7.88 | Equations (684) can reduce 14 to:
% 30.52/7.88 | (537) $false
% 30.52/7.88 |
% 30.52/7.88 |-The branch is then unsatisfiable
% 30.52/7.88 |-Branch two:
% 30.52/7.88 | (6465) all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)
% 30.52/7.88 |
% 30.52/7.88 | Applying alpha-rule on (6465) yields:
% 30.52/7.88 | (6466) all_0_155_155 = e23
% 30.52/7.88 | (6467) ~ (all_0_154_154 = e21)
% 30.52/7.88 | (6468) ~ (all_0_156_156 = e23)
% 30.52/7.88 |
% 30.52/7.88 | Combining equations (6466,6340) yields a new equation:
% 30.52/7.88 | (638) e23 = e22
% 30.52/7.88 |
% 30.52/7.88 | Simplifying 638 yields:
% 30.52/7.88 | (639) e23 = e22
% 30.52/7.88 |
% 30.52/7.88 | Equations (639) can reduce 449 to:
% 30.52/7.88 | (537) $false
% 30.52/7.88 |
% 30.52/7.88 |-The branch is then unsatisfiable
% 30.52/7.88 |-Branch two:
% 30.52/7.89 | (6471) all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)
% 30.52/7.89 |
% 30.52/7.89 | Applying alpha-rule on (6471) yields:
% 30.52/7.89 | (6472) all_0_158_158 = e22
% 30.52/7.89 | (6473) ~ (all_0_157_157 = e21)
% 30.52/7.89 | (6474) ~ (all_0_159_159 = e22)
% 30.52/7.89 |
% 30.52/7.89 | Combining equations (7185,6472) yields a new equation:
% 30.52/7.89 | (6323) e22 = e21
% 30.52/7.89 |
% 30.52/7.89 | Equations (6323) can reduce 92 to:
% 30.52/7.89 | (537) $false
% 30.52/7.89 |
% 30.52/7.89 |-The branch is then unsatisfiable
% 30.52/7.89 |-Branch two:
% 30.52/7.89 | (6478) all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20)
% 30.52/7.89 |
% 30.52/7.89 | Applying alpha-rule on (6478) yields:
% 30.52/7.89 | (6479) all_0_163_163 = e20
% 30.52/7.89 | (6480) ~ (all_0_162_162 = e21)
% 30.52/7.89 | (6481) ~ (all_0_164_164 = e20)
% 30.52/7.89 |
% 30.52/7.89 | Combining equations (6479,6530) yields a new equation:
% 30.52/7.89 | (684) e23 = e20
% 30.52/7.89 |
% 30.52/7.89 | Equations (684) can reduce 14 to:
% 30.52/7.89 | (537) $false
% 30.52/7.89 |
% 30.52/7.89 |-The branch is then unsatisfiable
% 30.52/7.89 |-Branch two:
% 30.52/7.89 | (6483) all_0_237_237 = e21 & ~ (all_0_236_236 = e20)
% 30.52/7.89 |
% 30.52/7.89 | Applying alpha-rule on (6483) yields:
% 30.52/7.89 | (523) all_0_237_237 = e21
% 30.52/7.89 | (660) ~ (all_0_236_236 = e20)
% 30.52/7.89 |
% 30.52/7.89 | Combining equations (523,589) yields a new equation:
% 30.52/7.89 | (590) e23 = e21
% 30.52/7.89 |
% 30.52/7.89 | Equations (590) can reduce 215 to:
% 30.52/7.89 | (537) $false
% 30.52/7.89 |
% 30.52/7.89 |-The branch is then unsatisfiable
% 30.52/7.89 |-Branch two:
% 30.52/7.89 | (666) ~ (all_0_240_240 = e20)
% 30.52/7.89 | (681) all_0_241_241 = e20
% 30.52/7.89 |
% 30.52/7.89 | Combining equations (585,681) yields a new equation:
% 30.52/7.89 | (663) e21 = e20
% 30.52/7.89 |
% 30.52/7.89 | Simplifying 663 yields:
% 30.52/7.89 | (664) e21 = e20
% 30.52/7.89 |
% 30.52/7.89 | Equations (664) can reduce 401 to:
% 30.52/7.89 | (537) $false
% 30.52/7.89 |
% 30.52/7.89 |-The branch is then unsatisfiable
% 30.52/7.89 |-Branch two:
% 30.52/7.89 | (6318) ~ (all_0_239_239 = e22)
% 30.52/7.89 | (6375) all_0_239_239 = e23 | all_0_239_239 = e20
% 30.52/7.89 |
% 30.52/7.89 +-Applying beta-rule and splitting (6326), into two cases.
% 30.52/7.89 |-Branch one:
% 30.52/7.89 | (689) all_0_243_243 = e22
% 30.52/7.89 |
% 30.52/7.89 | Combining equations (6284,689) yields a new equation:
% 30.52/7.89 | (638) e23 = e22
% 30.52/7.89 |
% 30.52/7.89 | Simplifying 638 yields:
% 30.52/7.89 | (639) e23 = e22
% 30.52/7.89 |
% 30.52/7.89 | Equations (639) can reduce 449 to:
% 30.52/7.89 | (537) $false
% 30.52/7.89 |
% 30.52/7.89 |-The branch is then unsatisfiable
% 30.52/7.89 |-Branch two:
% 30.52/7.89 | (6287) ~ (all_0_243_243 = e22)
% 30.52/7.89 | (6339) all_0_244_244 = e22
% 30.52/7.89 |
% 30.52/7.89 | Equations (6339) can reduce 350 to:
% 30.52/7.89 | (6338) ~ (all_0_240_240 = e22)
% 30.52/7.89 |
% 30.52/7.89 +-Applying beta-rule and splitting (6652), into two cases.
% 30.52/7.89 |-Branch one:
% 30.52/7.89 | (6372) all_0_239_239 = e22
% 30.52/7.89 |
% 30.52/7.89 | Equations (6372) can reduce 6318 to:
% 30.52/7.89 | (537) $false
% 30.52/7.89 |
% 30.52/7.89 |-The branch is then unsatisfiable
% 30.52/7.89 |-Branch two:
% 30.52/7.89 | (6318) ~ (all_0_239_239 = e22)
% 30.52/7.89 | (6335) all_0_240_240 = e22
% 30.52/7.89 |
% 30.52/7.89 | Equations (6335) can reduce 6338 to:
% 30.52/7.89 | (537) $false
% 30.52/7.89 |
% 30.52/7.89 |-The branch is then unsatisfiable
% 30.52/7.89 |-Branch two:
% 30.52/7.89 | (688) ~ (all_0_243_243 = e23)
% 30.52/7.89 | (687) all_0_245_245 = e23
% 30.52/7.89 |
% 30.52/7.89 | Equations (687) can reduce 6501 to:
% 30.52/7.89 | (537) $false
% 30.52/7.89 |
% 30.52/7.89 |-The branch is then unsatisfiable
% 30.52/7.89 |-Branch two:
% 30.52/7.89 | (6297) ~ (all_0_235_235 = e20)
% 30.52/7.89 | (6298) all_0_236_236 = e20 | all_0_237_237 = e20
% 30.52/7.89 |
% 30.52/7.90 +-Applying beta-rule and splitting (6298), into two cases.
% 30.52/7.90 |-Branch one:
% 30.52/7.90 | (656) all_0_236_236 = e20
% 30.52/7.90 |
% 30.52/7.90 | Combining equations (656,577) yields a new equation:
% 30.52/7.90 | (664) e21 = e20
% 30.52/7.90 |
% 30.52/7.90 | Equations (664) can reduce 401 to:
% 30.52/7.90 | (537) $false
% 30.52/7.90 |
% 30.52/7.90 |-The branch is then unsatisfiable
% 30.52/7.90 |-Branch two:
% 30.52/7.90 | (660) ~ (all_0_236_236 = e20)
% 30.52/7.90 | (675) all_0_237_237 = e20
% 30.52/7.90 |
% 30.52/7.90 | Combining equations (589,675) yields a new equation:
% 30.52/7.90 | (683) e23 = e20
% 30.52/7.90 |
% 30.52/7.90 | Simplifying 683 yields:
% 30.52/7.90 | (684) e23 = e20
% 30.52/7.90 |
% 30.52/7.90 | Equations (684) can reduce 14 to:
% 30.52/7.90 | (537) $false
% 30.52/7.90 |
% 30.52/7.90 |-The branch is then unsatisfiable
% 30.52/7.90 |-Branch two:
% 30.52/7.90 | (592) ~ (all_0_237_237 = e23)
% 30.52/7.90 | (593) all_0_241_241 = e23 | all_0_245_245 = e23
% 30.52/7.90 |
% 30.52/7.90 +-Applying beta-rule and splitting (7004), into two cases.
% 30.52/7.90 |-Branch one:
% 30.52/7.90 | (589) all_0_237_237 = e23
% 30.52/7.90 |
% 30.52/7.90 | Equations (589) can reduce 592 to:
% 30.52/7.90 | (537) $false
% 30.52/7.90 |
% 30.52/7.90 |-The branch is then unsatisfiable
% 30.52/7.90 |-Branch two:
% 30.52/7.90 | (592) ~ (all_0_237_237 = e23)
% 30.52/7.90 | (675) all_0_237_237 = e20
% 30.52/7.90 |
% 30.52/7.90 | Equations (675) can reduce 418 to:
% 30.52/7.90 | (669) ~ (all_0_245_245 = e20)
% 30.52/7.90 |
% 30.52/7.90 | Simplifying 669 yields:
% 30.52/7.90 | (670) ~ (all_0_245_245 = e20)
% 30.52/7.90 |
% 30.52/7.90 | From (675) and (4) follows:
% 30.52/7.90 | (7316) op2(e23, e20) = all_0_142_142
% 30.52/7.90 |
% 30.52/7.90 | From (675) and (441) follows:
% 30.52/7.90 | (7317) op2(e23, e20) = e20
% 30.52/7.90 |
% 30.52/7.90 | From (675) and (279) follows:
% 30.52/7.90 | (7318) op2(e22, e20) = all_0_105_105
% 30.52/7.90 |
% 30.52/7.90 +-Applying beta-rule and splitting (572), into two cases.
% 30.52/7.90 |-Branch one:
% 30.52/7.90 | (687) all_0_245_245 = e23
% 30.52/7.90 |
% 30.52/7.90 | Equations (687) can reduce 145 to:
% 30.52/7.90 | (95) ~ (all_0_244_244 = e23)
% 30.52/7.90 |
% 30.52/7.90 | Equations (687) can reduce 670 to:
% 30.52/7.90 | (14) ~ (e23 = e20)
% 30.52/7.90 |
% 30.52/7.90 | From (687) and (110) follows:
% 30.52/7.90 | (7322) op2(e23, e21) = all_0_163_163
% 30.52/7.90 |
% 30.52/7.90 | From (687) and (57) follows:
% 30.52/7.90 | (6414) op2(e23, e20) = all_0_162_162
% 30.52/7.90 |
% 30.52/7.90 | From (687) and (330) follows:
% 30.52/7.90 | (7324) op2(e23, e23) = all_0_129_129
% 30.52/7.90 |
% 30.52/7.90 +-Applying beta-rule and splitting (448), into two cases.
% 30.52/7.90 |-Branch one:
% 30.52/7.90 | (633) all_0_235_235 = e23
% 30.52/7.90 |
% 30.52/7.90 | Equations (633) can reduce 415 to:
% 30.52/7.90 | (7326) ~ (all_0_239_239 = e23)
% 30.52/7.90 |
% 30.52/7.90 | Simplifying 7326 yields:
% 30.52/7.90 | (6283) ~ (all_0_239_239 = e23)
% 30.52/7.90 |
% 30.52/7.90 | Equations (633) can reduce 212 to:
% 30.52/7.90 | (6698) ~ (all_0_243_243 = e23)
% 30.52/7.90 |
% 30.52/7.90 | Simplifying 6698 yields:
% 30.52/7.90 | (688) ~ (all_0_243_243 = e23)
% 30.52/7.90 |
% 30.52/7.90 | From (633)(633) and (7071) follows:
% 30.52/7.90 | (7330) op2(e23, e23) = all_0_20_20
% 30.52/7.90 |
% 30.52/7.90 | From (633) and (325) follows:
% 30.52/7.90 | (7331) op2(e23, e23) = all_0_135_135
% 30.52/7.90 |
% 30.52/7.90 | From (633) and (313) follows:
% 30.52/7.90 | (7332) op2(e23, e23) = all_0_136_136
% 30.52/7.90 |
% 30.52/7.90 | Instantiating formula (340) with e23, e23, all_0_129_129, all_0_20_20 and discharging atoms op2(e23, e23) = all_0_20_20, op2(e23, e23) = all_0_129_129, yields:
% 30.52/7.90 | (7333) all_0_20_20 = all_0_129_129
% 30.52/7.90 |
% 30.52/7.90 | Instantiating formula (340) with e23, e23, all_0_135_135, e22 and discharging atoms op2(e23, e23) = all_0_135_135, op2(e23, e23) = e22, yields:
% 30.52/7.90 | (6430) all_0_135_135 = e22
% 30.52/7.90 |
% 30.52/7.90 | Instantiating formula (340) with e23, e23, all_0_135_135, all_0_129_129 and discharging atoms op2(e23, e23) = all_0_129_129, op2(e23, e23) = all_0_135_135, yields:
% 30.52/7.90 | (7335) all_0_129_129 = all_0_135_135
% 30.52/7.90 |
% 30.52/7.90 | Instantiating formula (340) with e23, e23, all_0_136_136, all_0_20_20 and discharging atoms op2(e23, e23) = all_0_20_20, op2(e23, e23) = all_0_136_136, yields:
% 30.52/7.90 | (7336) all_0_20_20 = all_0_136_136
% 30.52/7.90 |
% 30.52/7.90 | Instantiating formula (340) with e23, e21, all_0_163_163, e21 and discharging atoms op2(e23, e21) = all_0_163_163, op2(e23, e21) = e21, yields:
% 30.52/7.90 | (7337) all_0_163_163 = e21
% 30.52/7.90 |
% 30.52/7.90 | Instantiating formula (340) with e23, e20, all_0_162_162, all_0_142_142 and discharging atoms op2(e23, e20) = all_0_142_142, op2(e23, e20) = all_0_162_162, yields:
% 30.52/7.90 | (7338) all_0_142_142 = all_0_162_162
% 30.52/7.90 |
% 30.52/7.90 | Instantiating formula (340) with e23, e20, e20, all_0_142_142 and discharging atoms op2(e23, e20) = all_0_142_142, op2(e23, e20) = e20, yields:
% 30.52/7.90 | (7339) all_0_142_142 = e20
% 30.52/7.90 |
% 30.52/7.90 | Instantiating formula (340) with e22, e20, all_0_105_105, e21 and discharging atoms op2(e22, e20) = all_0_105_105, op2(e22, e20) = e21, yields:
% 30.52/7.90 | (7340) all_0_105_105 = e21
% 30.52/7.90 |
% 30.52/7.90 | Combining equations (7333,7336) yields a new equation:
% 30.52/7.90 | (7341) all_0_129_129 = all_0_136_136
% 30.52/7.90 |
% 30.52/7.90 | Simplifying 7341 yields:
% 30.52/7.90 | (7342) all_0_129_129 = all_0_136_136
% 30.52/7.90 |
% 30.52/7.90 | Combining equations (7335,7342) yields a new equation:
% 30.52/7.90 | (7343) all_0_135_135 = all_0_136_136
% 30.52/7.90 |
% 30.52/7.90 | Simplifying 7343 yields:
% 30.52/7.90 | (7344) all_0_135_135 = all_0_136_136
% 30.52/7.90 |
% 30.52/7.90 | Combining equations (7344,6430) yields a new equation:
% 30.52/7.90 | (7345) all_0_136_136 = e22
% 30.52/7.90 |
% 30.52/7.90 | Simplifying 7345 yields:
% 30.52/7.90 | (6354) all_0_136_136 = e22
% 30.52/7.91 |
% 30.52/7.91 | Combining equations (7339,7338) yields a new equation:
% 30.52/7.91 | (7347) all_0_162_162 = e20
% 30.52/7.91 |
% 30.52/7.91 | Combining equations (7347,7338) yields a new equation:
% 30.52/7.91 | (7339) all_0_142_142 = e20
% 30.52/7.91 |
% 30.52/7.91 | From (6354)(6354) and (7082) follows:
% 30.52/7.91 | (7349) op2(e22, e22) = all_0_0_0
% 30.52/7.91 |
% 30.52/7.91 | From (6354) and (7083) follows:
% 30.52/7.91 | (7350) op2(e22, e22) = all_0_2_2
% 30.52/7.91 |
% 30.52/7.91 | From (6354) and (7086) follows:
% 30.52/7.91 | (7351) op2(e22, e22) = all_0_8_8
% 30.52/7.91 |
% 30.52/7.91 | From (7340) and (7318) follows:
% 30.52/7.91 | (6957) op2(e22, e20) = e21
% 30.52/7.91 |
% 30.52/7.91 | Instantiating formula (340) with e22, e22, all_0_0_0, all_0_239_239 and discharging atoms op2(e22, e22) = all_0_0_0, op2(e22, e22) = all_0_239_239, yields:
% 30.52/7.91 | (7353) all_0_0_0 = all_0_239_239
% 30.52/7.91 |
% 30.52/7.91 | Instantiating formula (340) with e22, e22, all_0_2_2, all_0_0_0 and discharging atoms op2(e22, e22) = all_0_0_0, op2(e22, e22) = all_0_2_2, yields:
% 30.52/7.91 | (7354) all_0_0_0 = all_0_2_2
% 30.52/7.91 |
% 30.52/7.91 | Instantiating formula (340) with e22, e22, all_0_8_8, all_0_0_0 and discharging atoms op2(e22, e22) = all_0_0_0, op2(e22, e22) = all_0_8_8, yields:
% 30.52/7.91 | (7355) all_0_0_0 = all_0_8_8
% 30.52/7.91 |
% 30.52/7.91 | Combining equations (7355,7354) yields a new equation:
% 30.52/7.91 | (7356) all_0_2_2 = all_0_8_8
% 30.52/7.91 |
% 30.67/7.91 | Combining equations (7353,7354) yields a new equation:
% 30.67/7.91 | (7357) all_0_2_2 = all_0_239_239
% 30.67/7.91 |
% 30.67/7.91 | Combining equations (7357,7356) yields a new equation:
% 30.67/7.91 | (7358) all_0_8_8 = all_0_239_239
% 30.67/7.91 |
% 30.67/7.91 | From (7358) and (7351) follows:
% 30.67/7.91 | (256) op2(e22, e22) = all_0_239_239
% 30.67/7.91 |
% 30.67/7.91 +-Applying beta-rule and splitting (394), into two cases.
% 30.67/7.91 |-Branch one:
% 30.67/7.91 | (689) all_0_243_243 = e22
% 30.67/7.91 |
% 30.67/7.91 | Combining equations (689,6978) yields a new equation:
% 30.67/7.91 | (6527) all_0_152_152 = e22
% 30.67/7.91 |
% 30.67/7.91 | Equations (689) can reduce 32 to:
% 30.67/7.91 | (6318) ~ (all_0_239_239 = e22)
% 30.67/7.91 |
% 30.67/7.91 | Equations (689) can reduce 362 to:
% 30.67/7.91 | (7363) ~ (all_0_244_244 = e22)
% 30.67/7.91 |
% 30.67/7.91 | Simplifying 7363 yields:
% 30.67/7.91 | (7364) ~ (all_0_244_244 = e22)
% 30.67/7.91 |
% 30.67/7.91 | From (689) and (370) follows:
% 30.67/7.91 | (7365) op2(e21, e22) = all_0_159_159
% 30.67/7.91 |
% 30.67/7.91 | From (689) and (54) follows:
% 30.67/7.91 | (7366) op2(e21, e22) = e22
% 30.67/7.91 |
% 30.67/7.91 +-Applying beta-rule and splitting (82), into two cases.
% 30.67/7.91 |-Branch one:
% 30.67/7.91 | (6372) all_0_239_239 = e22
% 30.67/7.91 |
% 30.67/7.91 | Equations (6372) can reduce 6318 to:
% 30.67/7.91 | (537) $false
% 30.67/7.91 |
% 30.67/7.91 |-The branch is then unsatisfiable
% 30.67/7.91 |-Branch two:
% 30.67/7.91 | (6318) ~ (all_0_239_239 = e22)
% 30.67/7.91 | (6375) all_0_239_239 = e23 | all_0_239_239 = e20
% 30.67/7.91 |
% 30.67/7.91 +-Applying beta-rule and splitting (584), into two cases.
% 30.67/7.91 |-Branch one:
% 30.67/7.91 | (6339) all_0_244_244 = e22
% 30.67/7.91 |
% 30.67/7.92 | Equations (6339) can reduce 7364 to:
% 30.67/7.92 | (537) $false
% 30.67/7.92 |
% 30.67/7.92 |-The branch is then unsatisfiable
% 30.67/7.92 |-Branch two:
% 30.67/7.92 | (7364) ~ (all_0_244_244 = e22)
% 30.67/7.92 | (667) all_0_244_244 = e20
% 30.67/7.92 |
% 30.67/7.92 | Combining equations (667,517) yields a new equation:
% 30.67/7.92 | (7375) all_0_155_155 = e20
% 30.67/7.92 |
% 30.67/7.92 +-Applying beta-rule and splitting (6375), into two cases.
% 30.67/7.92 |-Branch one:
% 30.67/7.92 | (692) all_0_239_239 = e23
% 30.67/7.92 |
% 30.67/7.92 | Equations (692) can reduce 6283 to:
% 30.67/7.92 | (537) $false
% 30.67/7.92 |
% 30.67/7.92 |-The branch is then unsatisfiable
% 30.67/7.92 |-Branch two:
% 30.67/7.92 | (6283) ~ (all_0_239_239 = e23)
% 30.67/7.92 | (6389) all_0_239_239 = e20
% 30.67/7.92 |
% 30.67/7.92 | Equations (6389) can reduce 84 to:
% 30.67/7.92 | (7380) ~ (all_0_240_240 = e20)
% 30.67/7.92 |
% 30.67/7.92 | Simplifying 7380 yields:
% 30.67/7.92 | (666) ~ (all_0_240_240 = e20)
% 30.67/7.92 |
% 30.67/7.92 | Equations (6389) can reduce 6283 to:
% 30.67/7.92 | (671) ~ (e23 = e20)
% 30.67/7.92 |
% 30.67/7.92 | Simplifying 671 yields:
% 30.67/7.92 | (14) ~ (e23 = e20)
% 30.67/7.92 |
% 30.67/7.92 | Equations (6389) can reduce 6318 to:
% 30.67/7.92 | (652) ~ (e22 = e20)
% 30.67/7.92 |
% 30.67/7.92 | Simplifying 652 yields:
% 30.67/7.92 | (294) ~ (e22 = e20)
% 30.67/7.92 |
% 30.67/7.92 | Equations (6389) can reduce 18 to:
% 30.67/7.92 | (654) ~ (e21 = e20)
% 30.67/7.92 |
% 30.67/7.92 | Simplifying 654 yields:
% 30.67/7.92 | (401) ~ (e21 = e20)
% 30.67/7.92 |
% 30.67/7.92 | From (6389) and (256) follows:
% 30.67/7.92 | (7388) op2(e22, e22) = e20
% 30.67/7.92 |
% 30.67/7.92 +-Applying beta-rule and splitting (6652), into two cases.
% 30.67/7.92 |-Branch one:
% 30.67/7.92 | (6372) all_0_239_239 = e22
% 30.67/7.92 |
% 30.67/7.92 | Combining equations (6372,6389) yields a new equation:
% 30.67/7.92 | (657) e22 = e20
% 30.67/7.92 |
% 30.67/7.92 | Simplifying 657 yields:
% 30.67/7.92 | (658) e22 = e20
% 30.67/7.92 |
% 30.67/7.92 | Equations (658) can reduce 294 to:
% 30.67/7.92 | (537) $false
% 30.67/7.92 |
% 30.67/7.92 |-The branch is then unsatisfiable
% 30.67/7.92 |-Branch two:
% 30.67/7.92 | (6318) ~ (all_0_239_239 = e22)
% 30.67/7.92 | (6335) all_0_240_240 = e22
% 30.67/7.92 |
% 30.67/7.92 | Equations (6335) can reduce 666 to:
% 30.67/7.92 | (294) ~ (e22 = e20)
% 30.67/7.92 |
% 30.67/7.92 | From (6335) and (426) follows:
% 30.67/7.92 | (7396) op2(e22, e22) = all_0_149_149
% 30.67/7.92 |
% 30.67/7.92 | Instantiating formula (340) with e22, e22, e20, all_0_149_149 and discharging atoms op2(e22, e22) = all_0_149_149, op2(e22, e22) = e20, yields:
% 30.67/7.92 | (6377) all_0_149_149 = e20
% 30.67/7.92 |
% 30.67/7.92 | Instantiating formula (340) with e21, e22, e22, all_0_159_159 and discharging atoms op2(e21, e22) = all_0_159_159, op2(e21, e22) = e22, yields:
% 30.67/7.92 | (7398) all_0_159_159 = e22
% 30.67/7.92 |
% 30.67/7.92 +-Applying beta-rule and splitting (69), into two cases.
% 30.67/7.92 |-Branch one:
% 30.67/7.92 | (6421) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)) | (all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20))
% 30.67/7.92 |
% 30.67/7.92 +-Applying beta-rule and splitting (6421), into two cases.
% 30.67/7.92 |-Branch one:
% 30.67/7.92 | (6422) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22))
% 30.67/7.92 |
% 30.67/7.92 +-Applying beta-rule and splitting (6422), into two cases.
% 30.67/7.92 |-Branch one:
% 30.67/7.92 | (6423) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23))
% 30.67/7.92 |
% 30.67/7.92 +-Applying beta-rule and splitting (6423), into two cases.
% 30.67/7.92 |-Branch one:
% 30.67/7.92 | (6424) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20))
% 30.67/7.92 |
% 30.67/7.92 +-Applying beta-rule and splitting (6424), into two cases.
% 30.67/7.92 |-Branch one:
% 30.67/7.92 | (6425) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21))
% 30.67/7.92 |
% 30.67/7.92 +-Applying beta-rule and splitting (6425), into two cases.
% 30.67/7.92 |-Branch one:
% 30.67/7.92 | (6426) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23))
% 30.67/7.92 |
% 30.67/7.92 +-Applying beta-rule and splitting (6426), into two cases.
% 30.67/7.92 |-Branch one:
% 30.67/7.92 | (6427) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20))
% 30.67/7.92 |
% 30.67/7.92 +-Applying beta-rule and splitting (6427), into two cases.
% 30.67/7.92 |-Branch one:
% 30.67/7.92 | (6428) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21))
% 30.67/7.93 |
% 30.67/7.93 +-Applying beta-rule and splitting (6428), into two cases.
% 30.67/7.93 |-Branch one:
% 30.67/7.93 | (6429) all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)
% 30.67/7.93 |
% 30.67/7.93 | Applying alpha-rule on (6429) yields:
% 30.67/7.93 | (6430) all_0_135_135 = e22
% 30.67/7.93 | (6431) ~ (all_0_134_134 = e23)
% 30.67/7.93 | (6432) ~ (all_0_136_136 = e22)
% 30.67/7.93 |
% 30.67/7.93 | Equations (6354) can reduce 6432 to:
% 30.67/7.93 | (537) $false
% 30.67/7.93 |
% 30.67/7.93 |-The branch is then unsatisfiable
% 30.67/7.93 |-Branch two:
% 30.67/7.93 | (6434) all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)
% 30.67/7.93 |
% 30.67/7.93 | Applying alpha-rule on (6434) yields:
% 30.67/7.93 | (6435) all_0_138_138 = e21
% 30.67/7.93 | (6436) ~ (all_0_137_137 = e23)
% 30.67/7.93 | (6437) ~ (all_0_139_139 = e21)
% 30.67/7.93 |
% 30.67/7.93 | Equations (6355) can reduce 6437 to:
% 30.67/7.93 | (537) $false
% 30.67/7.93 |
% 30.67/7.93 |-The branch is then unsatisfiable
% 30.67/7.93 |-Branch two:
% 30.67/7.93 | (6441) all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)
% 30.67/7.93 |
% 30.67/7.93 | Applying alpha-rule on (6441) yields:
% 30.67/7.93 | (6442) all_0_141_141 = e20
% 30.67/7.93 | (6443) ~ (all_0_140_140 = e23)
% 30.67/7.93 | (6444) ~ (all_0_142_142 = e20)
% 30.67/7.93 |
% 30.67/7.93 | Equations (7339) can reduce 6444 to:
% 30.67/7.93 | (537) $false
% 30.67/7.93 |
% 30.67/7.93 |-The branch is then unsatisfiable
% 30.67/7.93 |-Branch two:
% 30.67/7.93 | (6447) all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)
% 30.67/7.93 |
% 30.67/7.93 | Applying alpha-rule on (6447) yields:
% 30.67/7.93 | (6448) all_0_144_144 = e23
% 30.67/7.93 | (6449) ~ (all_0_143_143 = e22)
% 30.67/7.93 | (6450) ~ (all_0_145_145 = e23)
% 30.67/7.93 |
% 30.67/7.93 | Equations (6394) can reduce 6450 to:
% 30.67/7.93 | (537) $false
% 30.67/7.93 |
% 30.67/7.93 |-The branch is then unsatisfiable
% 30.67/7.93 |-Branch two:
% 30.67/7.93 | (6452) all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)
% 30.67/7.93 |
% 30.67/7.93 | Applying alpha-rule on (6452) yields:
% 30.67/7.93 | (6453) all_0_149_149 = e21
% 30.67/7.93 | (6454) ~ (all_0_148_148 = e22)
% 30.67/7.93 | (6455) ~ (all_0_150_150 = e21)
% 30.67/7.93 |
% 30.67/7.93 | Combining equations (6453,6377) yields a new equation:
% 30.67/7.93 | (663) e21 = e20
% 30.67/7.93 |
% 30.67/7.93 | Simplifying 663 yields:
% 30.67/7.93 | (664) e21 = e20
% 30.67/7.93 |
% 30.67/7.93 | Equations (664) can reduce 401 to:
% 30.67/7.93 | (537) $false
% 30.67/7.93 |
% 30.67/7.93 |-The branch is then unsatisfiable
% 30.67/7.93 |-Branch two:
% 30.67/7.93 | (6458) all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)
% 30.67/7.93 |
% 30.67/7.93 | Applying alpha-rule on (6458) yields:
% 30.67/7.93 | (6459) all_0_152_152 = e20
% 30.67/7.93 | (6460) ~ (all_0_151_151 = e22)
% 30.67/7.93 | (6461) ~ (all_0_153_153 = e20)
% 30.67/7.93 |
% 30.67/7.93 | Combining equations (6527,6459) yields a new equation:
% 30.67/7.93 | (657) e22 = e20
% 30.67/7.93 |
% 30.67/7.93 | Simplifying 657 yields:
% 30.67/7.93 | (658) e22 = e20
% 30.67/7.93 |
% 30.67/7.93 | Equations (658) can reduce 294 to:
% 30.67/7.93 | (537) $false
% 30.67/7.93 |
% 30.67/7.93 |-The branch is then unsatisfiable
% 30.67/7.93 |-Branch two:
% 30.67/7.93 | (6465) all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)
% 30.67/7.93 |
% 30.67/7.93 | Applying alpha-rule on (6465) yields:
% 30.67/7.94 | (6466) all_0_155_155 = e23
% 30.67/7.94 | (6467) ~ (all_0_154_154 = e21)
% 30.67/7.94 | (6468) ~ (all_0_156_156 = e23)
% 30.67/7.94 |
% 30.67/7.94 | Combining equations (7375,6466) yields a new equation:
% 30.67/7.94 | (684) e23 = e20
% 30.67/7.94 |
% 30.67/7.94 | Equations (684) can reduce 14 to:
% 30.67/7.94 | (537) $false
% 30.67/7.94 |
% 30.67/7.94 |-The branch is then unsatisfiable
% 30.67/7.94 |-Branch two:
% 30.67/7.94 | (6471) all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)
% 30.67/7.94 |
% 30.67/7.94 | Applying alpha-rule on (6471) yields:
% 30.67/7.94 | (6472) all_0_158_158 = e22
% 30.67/7.94 | (6473) ~ (all_0_157_157 = e21)
% 30.67/7.94 | (6474) ~ (all_0_159_159 = e22)
% 30.67/7.94 |
% 30.67/7.94 | Equations (7398) can reduce 6474 to:
% 30.67/7.94 | (537) $false
% 30.67/7.94 |
% 30.67/7.94 |-The branch is then unsatisfiable
% 30.67/7.94 |-Branch two:
% 30.67/7.94 | (6478) all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20)
% 30.67/7.94 |
% 30.67/7.94 | Applying alpha-rule on (6478) yields:
% 30.67/7.94 | (6479) all_0_163_163 = e20
% 30.67/7.94 | (6480) ~ (all_0_162_162 = e21)
% 30.67/7.94 | (6481) ~ (all_0_164_164 = e20)
% 30.67/7.94 |
% 30.67/7.94 | Combining equations (7337,6479) yields a new equation:
% 30.67/7.94 | (663) e21 = e20
% 30.67/7.94 |
% 30.67/7.94 | Simplifying 663 yields:
% 30.67/7.94 | (664) e21 = e20
% 30.67/7.94 |
% 30.67/7.94 | Equations (664) can reduce 401 to:
% 30.67/7.94 | (537) $false
% 30.67/7.94 |
% 30.67/7.94 |-The branch is then unsatisfiable
% 30.67/7.94 |-Branch two:
% 30.67/7.94 | (6483) all_0_237_237 = e21 & ~ (all_0_236_236 = e20)
% 30.67/7.94 |
% 30.67/7.94 | Applying alpha-rule on (6483) yields:
% 30.67/7.94 | (523) all_0_237_237 = e21
% 30.67/7.94 | (660) ~ (all_0_236_236 = e20)
% 30.67/7.94 |
% 30.67/7.94 | Combining equations (675,523) yields a new equation:
% 30.67/7.94 | (664) e21 = e20
% 30.67/7.94 |
% 30.67/7.94 | Equations (664) can reduce 401 to:
% 30.67/7.94 | (537) $false
% 30.67/7.94 |
% 30.67/7.94 |-The branch is then unsatisfiable
% 30.67/7.94 |-Branch two:
% 30.67/7.94 | (6287) ~ (all_0_243_243 = e22)
% 30.67/7.94 | (6288) all_0_243_243 = e23 | all_0_243_243 = e20
% 30.67/7.94 |
% 30.67/7.94 +-Applying beta-rule and splitting (6288), into two cases.
% 30.67/7.94 |-Branch one:
% 30.67/7.94 | (6284) all_0_243_243 = e23
% 30.67/7.94 |
% 30.67/7.94 | Equations (6284) can reduce 688 to:
% 30.67/7.94 | (537) $false
% 30.67/7.94 |
% 30.67/7.94 |-The branch is then unsatisfiable
% 30.67/7.94 |-Branch two:
% 30.67/7.94 | (688) ~ (all_0_243_243 = e23)
% 30.67/7.94 | (6292) all_0_243_243 = e20
% 30.67/7.94 |
% 30.67/7.94 | Equations (6292) can reduce 32 to:
% 30.67/7.94 | (6378) ~ (all_0_239_239 = e20)
% 30.67/7.94 |
% 30.67/7.94 | Equations (6292) can reduce 6287 to:
% 30.67/7.94 | (652) ~ (e22 = e20)
% 30.67/7.94 |
% 30.67/7.94 | Simplifying 652 yields:
% 30.67/7.94 | (294) ~ (e22 = e20)
% 30.67/7.94 |
% 30.67/7.94 | Equations (6292) can reduce 74 to:
% 30.67/7.94 | (654) ~ (e21 = e20)
% 30.67/7.94 |
% 30.67/7.94 | Simplifying 654 yields:
% 30.67/7.94 | (401) ~ (e21 = e20)
% 30.67/7.94 |
% 30.67/7.94 | From (6292) and (258) follows:
% 30.67/7.94 | (6382) op2(e20, e21) = all_0_158_158
% 30.67/7.94 |
% 30.67/7.94 +-Applying beta-rule and splitting (82), into two cases.
% 30.67/7.94 |-Branch one:
% 30.67/7.94 | (6372) all_0_239_239 = e22
% 30.67/7.94 |
% 30.67/7.94 | Equations (6372) can reduce 84 to:
% 30.67/7.94 | (7133) ~ (all_0_240_240 = e22)
% 30.67/7.94 |
% 30.67/7.94 | Simplifying 7133 yields:
% 30.67/7.94 | (6338) ~ (all_0_240_240 = e22)
% 30.67/7.94 |
% 30.67/7.94 +-Applying beta-rule and splitting (6992), into two cases.
% 30.67/7.94 |-Branch one:
% 30.67/7.94 | (6335) all_0_240_240 = e22
% 30.67/7.94 |
% 30.67/7.95 | Equations (6335) can reduce 6338 to:
% 30.67/7.95 | (537) $false
% 30.67/7.95 |
% 30.67/7.95 |-The branch is then unsatisfiable
% 30.67/7.95 |-Branch two:
% 30.67/7.95 | (6338) ~ (all_0_240_240 = e22)
% 30.67/7.95 | (662) all_0_240_240 = e20
% 30.67/7.95 |
% 30.67/7.95 | Combining equations (662,6982) yields a new equation:
% 30.67/7.95 | (7483) all_0_153_153 = e20
% 30.67/7.95 |
% 30.67/7.95 | Equations (662) can reduce 6338 to:
% 30.67/7.95 | (652) ~ (e22 = e20)
% 30.67/7.95 |
% 30.67/7.95 | Simplifying 652 yields:
% 30.67/7.95 | (294) ~ (e22 = e20)
% 30.67/7.95 |
% 30.67/7.95 | Equations (662) can reduce 6938 to:
% 30.67/7.95 | (654) ~ (e21 = e20)
% 30.67/7.95 |
% 30.67/7.95 | Simplifying 654 yields:
% 30.67/7.95 | (401) ~ (e21 = e20)
% 30.67/7.95 |
% 30.67/7.95 | From (662) and (5) follows:
% 30.67/7.95 | (7170) op2(e20, e21) = all_0_148_148
% 30.67/7.95 |
% 30.67/7.95 | From (662) and (359) follows:
% 30.67/7.95 | (7171) op2(e22, e20) = all_0_150_150
% 30.67/7.95 |
% 30.67/7.95 +-Applying beta-rule and splitting (6309), into two cases.
% 30.67/7.95 |-Branch one:
% 30.67/7.95 | (6335) all_0_240_240 = e22
% 30.67/7.95 |
% 30.67/7.95 | Combining equations (6335,662) yields a new equation:
% 30.67/7.95 | (657) e22 = e20
% 30.67/7.95 |
% 30.67/7.95 | Simplifying 657 yields:
% 30.67/7.95 | (658) e22 = e20
% 30.67/7.95 |
% 30.67/7.95 | Equations (658) can reduce 294 to:
% 30.67/7.95 | (537) $false
% 30.67/7.95 |
% 30.67/7.95 |-The branch is then unsatisfiable
% 30.67/7.95 |-Branch two:
% 30.67/7.95 | (6338) ~ (all_0_240_240 = e22)
% 30.67/7.95 | (6339) all_0_244_244 = e22
% 30.67/7.95 |
% 30.67/7.95 | Combining equations (6339,517) yields a new equation:
% 30.67/7.95 | (6340) all_0_155_155 = e22
% 30.67/7.95 |
% 30.67/7.95 | Equations (6339) can reduce 95 to:
% 30.67/7.95 | (613) ~ (e23 = e22)
% 30.67/7.95 |
% 30.67/7.95 | Simplifying 613 yields:
% 30.67/7.95 | (449) ~ (e23 = e22)
% 30.67/7.95 |
% 30.67/7.95 | Instantiating formula (340) with e22, e20, all_0_150_150, e21 and discharging atoms op2(e22, e20) = all_0_150_150, op2(e22, e20) = e21, yields:
% 30.67/7.95 | (7203) all_0_150_150 = e21
% 30.67/7.95 |
% 30.67/7.95 | Instantiating formula (340) with e20, e21, all_0_148_148, e23 and discharging atoms op2(e20, e21) = all_0_148_148, op2(e20, e21) = e23, yields:
% 30.67/7.95 | (7192) all_0_148_148 = e23
% 30.67/7.95 |
% 30.67/7.95 | Instantiating formula (340) with e20, e21, all_0_158_158, all_0_148_148 and discharging atoms op2(e20, e21) = all_0_148_148, op2(e20, e21) = all_0_158_158, yields:
% 30.67/7.95 | (7501) all_0_148_148 = all_0_158_158
% 30.67/7.95 |
% 30.67/7.95 | Combining equations (7192,7501) yields a new equation:
% 30.67/7.95 | (6418) all_0_158_158 = e23
% 30.67/7.95 |
% 30.67/7.95 +-Applying beta-rule and splitting (69), into two cases.
% 30.67/7.95 |-Branch one:
% 30.67/7.95 | (6421) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)) | (all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20))
% 30.67/7.95 |
% 30.67/7.95 +-Applying beta-rule and splitting (6421), into two cases.
% 30.67/7.95 |-Branch one:
% 30.67/7.95 | (6422) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22))
% 30.67/7.95 |
% 30.67/7.95 +-Applying beta-rule and splitting (6422), into two cases.
% 30.67/7.95 |-Branch one:
% 30.67/7.95 | (6423) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23))
% 30.67/7.95 |
% 30.67/7.95 +-Applying beta-rule and splitting (6423), into two cases.
% 30.67/7.95 |-Branch one:
% 30.67/7.95 | (6424) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20))
% 30.67/7.95 |
% 30.67/7.95 +-Applying beta-rule and splitting (6424), into two cases.
% 30.67/7.95 |-Branch one:
% 30.67/7.95 | (6425) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21))
% 30.67/7.95 |
% 30.67/7.95 +-Applying beta-rule and splitting (6425), into two cases.
% 30.67/7.95 |-Branch one:
% 30.67/7.95 | (6426) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23))
% 30.67/7.95 |
% 30.67/7.95 +-Applying beta-rule and splitting (6426), into two cases.
% 30.67/7.95 |-Branch one:
% 30.67/7.95 | (6427) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20))
% 30.67/7.95 |
% 30.67/7.95 +-Applying beta-rule and splitting (6427), into two cases.
% 30.67/7.95 |-Branch one:
% 30.67/7.95 | (6428) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21))
% 30.67/7.95 |
% 30.67/7.95 +-Applying beta-rule and splitting (6428), into two cases.
% 30.67/7.95 |-Branch one:
% 30.67/7.95 | (6429) all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)
% 30.67/7.95 |
% 30.67/7.95 | Applying alpha-rule on (6429) yields:
% 30.67/7.95 | (6430) all_0_135_135 = e22
% 30.67/7.95 | (6431) ~ (all_0_134_134 = e23)
% 30.67/7.96 | (6432) ~ (all_0_136_136 = e22)
% 30.67/7.96 |
% 30.67/7.96 | Equations (6354) can reduce 6432 to:
% 30.67/7.96 | (537) $false
% 30.67/7.96 |
% 30.67/7.96 |-The branch is then unsatisfiable
% 30.67/7.96 |-Branch two:
% 30.67/7.96 | (6434) all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)
% 30.67/7.96 |
% 30.67/7.96 | Applying alpha-rule on (6434) yields:
% 30.67/7.96 | (6435) all_0_138_138 = e21
% 30.67/7.96 | (6436) ~ (all_0_137_137 = e23)
% 30.67/7.96 | (6437) ~ (all_0_139_139 = e21)
% 30.67/7.96 |
% 30.67/7.96 | Equations (6355) can reduce 6437 to:
% 30.67/7.96 | (537) $false
% 30.67/7.96 |
% 30.67/7.96 |-The branch is then unsatisfiable
% 30.67/7.96 |-Branch two:
% 30.67/7.96 | (6441) all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)
% 30.67/7.96 |
% 30.67/7.96 | Applying alpha-rule on (6441) yields:
% 30.67/7.96 | (6442) all_0_141_141 = e20
% 30.67/7.96 | (6443) ~ (all_0_140_140 = e23)
% 30.67/7.96 | (6444) ~ (all_0_142_142 = e20)
% 30.67/7.96 |
% 30.67/7.96 | Equations (7339) can reduce 6444 to:
% 30.67/7.96 | (537) $false
% 30.67/7.96 |
% 30.67/7.96 |-The branch is then unsatisfiable
% 30.67/7.96 |-Branch two:
% 30.67/7.96 | (6447) all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)
% 30.67/7.96 |
% 30.67/7.96 | Applying alpha-rule on (6447) yields:
% 30.67/7.96 | (6448) all_0_144_144 = e23
% 30.67/7.96 | (6449) ~ (all_0_143_143 = e22)
% 30.67/7.96 | (6450) ~ (all_0_145_145 = e23)
% 30.67/7.96 |
% 30.67/7.96 | Equations (6394) can reduce 6450 to:
% 30.67/7.96 | (537) $false
% 30.67/7.96 |
% 30.67/7.96 |-The branch is then unsatisfiable
% 30.67/7.96 |-Branch two:
% 30.67/7.96 | (6452) all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)
% 30.67/7.96 |
% 30.67/7.96 | Applying alpha-rule on (6452) yields:
% 30.67/7.96 | (6453) all_0_149_149 = e21
% 30.67/7.96 | (6454) ~ (all_0_148_148 = e22)
% 30.67/7.96 | (6455) ~ (all_0_150_150 = e21)
% 30.67/7.96 |
% 30.67/7.96 | Equations (7203) can reduce 6455 to:
% 30.67/7.96 | (537) $false
% 30.67/7.96 |
% 30.67/7.96 |-The branch is then unsatisfiable
% 30.67/7.96 |-Branch two:
% 30.67/7.96 | (6458) all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)
% 30.67/7.96 |
% 30.67/7.96 | Applying alpha-rule on (6458) yields:
% 30.67/7.96 | (6459) all_0_152_152 = e20
% 30.67/7.96 | (6460) ~ (all_0_151_151 = e22)
% 30.67/7.96 | (6461) ~ (all_0_153_153 = e20)
% 30.67/7.96 |
% 30.67/7.96 | Equations (7483) can reduce 6461 to:
% 30.67/7.96 | (537) $false
% 30.67/7.96 |
% 30.67/7.96 |-The branch is then unsatisfiable
% 30.77/7.96 |-Branch two:
% 30.77/7.96 | (6465) all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)
% 30.77/7.96 |
% 30.77/7.96 | Applying alpha-rule on (6465) yields:
% 30.77/7.96 | (6466) all_0_155_155 = e23
% 30.77/7.96 | (6467) ~ (all_0_154_154 = e21)
% 30.77/7.96 | (6468) ~ (all_0_156_156 = e23)
% 30.77/7.96 |
% 30.77/7.96 | Combining equations (6340,6466) yields a new equation:
% 30.77/7.96 | (639) e23 = e22
% 30.77/7.96 |
% 30.77/7.96 | Equations (639) can reduce 449 to:
% 30.77/7.96 | (537) $false
% 30.77/7.96 |
% 30.77/7.97 |-The branch is then unsatisfiable
% 30.77/7.97 |-Branch two:
% 30.77/7.97 | (6471) all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)
% 30.77/7.97 |
% 30.77/7.97 | Applying alpha-rule on (6471) yields:
% 30.77/7.97 | (6472) all_0_158_158 = e22
% 30.77/7.97 | (6473) ~ (all_0_157_157 = e21)
% 30.77/7.97 | (6474) ~ (all_0_159_159 = e22)
% 30.77/7.97 |
% 30.77/7.97 | Combining equations (6418,6472) yields a new equation:
% 30.77/7.97 | (638) e23 = e22
% 30.77/7.97 |
% 30.77/7.97 | Simplifying 638 yields:
% 30.77/7.97 | (639) e23 = e22
% 30.77/7.97 |
% 30.77/7.97 | Equations (639) can reduce 449 to:
% 30.77/7.97 | (537) $false
% 30.77/7.97 |
% 30.77/7.97 |-The branch is then unsatisfiable
% 30.77/7.97 |-Branch two:
% 30.77/7.97 | (6478) all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20)
% 30.77/7.97 |
% 30.77/7.97 | Applying alpha-rule on (6478) yields:
% 30.77/7.97 | (6479) all_0_163_163 = e20
% 30.77/7.97 | (6480) ~ (all_0_162_162 = e21)
% 30.77/7.97 | (6481) ~ (all_0_164_164 = e20)
% 30.77/7.97 |
% 30.77/7.97 | Combining equations (6479,7337) yields a new equation:
% 30.77/7.97 | (664) e21 = e20
% 30.77/7.97 |
% 30.77/7.97 | Equations (664) can reduce 401 to:
% 30.77/7.97 | (537) $false
% 30.77/7.97 |
% 30.77/7.97 |-The branch is then unsatisfiable
% 30.77/7.97 |-Branch two:
% 30.77/7.97 | (6483) all_0_237_237 = e21 & ~ (all_0_236_236 = e20)
% 30.77/7.97 |
% 30.77/7.97 | Applying alpha-rule on (6483) yields:
% 30.77/7.97 | (523) all_0_237_237 = e21
% 30.77/7.97 | (660) ~ (all_0_236_236 = e20)
% 30.77/7.97 |
% 30.77/7.97 | Combining equations (675,523) yields a new equation:
% 30.77/7.97 | (664) e21 = e20
% 30.77/7.97 |
% 30.77/7.97 | Equations (664) can reduce 401 to:
% 30.77/7.97 | (537) $false
% 30.77/7.97 |
% 30.77/7.97 |-The branch is then unsatisfiable
% 30.77/7.97 |-Branch two:
% 30.77/7.97 | (6318) ~ (all_0_239_239 = e22)
% 30.77/7.97 | (6375) all_0_239_239 = e23 | all_0_239_239 = e20
% 30.77/7.97 |
% 30.77/7.97 +-Applying beta-rule and splitting (324), into two cases.
% 30.77/7.97 |-Branch one:
% 30.77/7.97 | (656) all_0_236_236 = e20
% 30.77/7.97 |
% 30.77/7.97 | Combining equations (577,656) yields a new equation:
% 30.77/7.97 | (663) e21 = e20
% 30.77/7.97 |
% 30.77/7.97 | Simplifying 663 yields:
% 30.77/7.97 | (664) e21 = e20
% 30.77/7.97 |
% 30.77/7.97 | Equations (664) can reduce 401 to:
% 30.77/7.97 | (537) $false
% 30.77/7.97 |
% 30.77/7.97 |-The branch is then unsatisfiable
% 30.77/7.97 |-Branch two:
% 30.77/7.97 | (660) ~ (all_0_236_236 = e20)
% 30.77/7.97 | (661) all_0_240_240 = e20 | all_0_244_244 = e20
% 30.77/7.97 |
% 30.77/7.97 | Equations (577) can reduce 660 to:
% 30.77/7.97 | (401) ~ (e21 = e20)
% 30.77/7.97 |
% 30.77/7.97 +-Applying beta-rule and splitting (234), into two cases.
% 30.77/7.97 |-Branch one:
% 30.77/7.97 | (6389) all_0_239_239 = e20
% 30.77/7.97 |
% 30.77/7.97 | Equations (6389) can reduce 6378 to:
% 30.77/7.97 | (537) $false
% 30.77/7.97 |
% 30.77/7.97 |-The branch is then unsatisfiable
% 30.77/7.97 |-Branch two:
% 30.77/7.97 | (6378) ~ (all_0_239_239 = e20)
% 30.77/7.97 | (6392) all_0_240_240 = e20 | all_0_241_241 = e20
% 30.77/7.97 |
% 30.77/7.97 +-Applying beta-rule and splitting (6326), into two cases.
% 30.77/7.97 |-Branch one:
% 30.77/7.97 | (689) all_0_243_243 = e22
% 30.77/7.97 |
% 30.77/7.97 | Combining equations (6292,689) yields a new equation:
% 30.77/7.97 | (658) e22 = e20
% 30.77/7.97 |
% 30.77/7.97 | Equations (658) can reduce 294 to:
% 30.77/7.97 | (537) $false
% 30.77/7.97 |
% 30.77/7.97 |-The branch is then unsatisfiable
% 30.77/7.97 |-Branch two:
% 30.77/7.97 | (6287) ~ (all_0_243_243 = e22)
% 30.77/7.97 | (6339) all_0_244_244 = e22
% 30.77/7.97 |
% 30.77/7.97 | Equations (6339) can reduce 350 to:
% 30.77/7.97 | (6338) ~ (all_0_240_240 = e22)
% 30.77/7.97 |
% 30.77/7.97 +-Applying beta-rule and splitting (6392), into two cases.
% 30.77/7.97 |-Branch one:
% 30.77/7.97 | (662) all_0_240_240 = e20
% 30.77/7.97 |
% 30.77/7.97 | Equations (662) can reduce 6338 to:
% 30.77/7.97 | (652) ~ (e22 = e20)
% 30.77/7.97 |
% 30.77/7.97 | Simplifying 652 yields:
% 30.77/7.97 | (294) ~ (e22 = e20)
% 30.77/7.97 |
% 30.77/7.97 +-Applying beta-rule and splitting (6652), into two cases.
% 30.77/7.97 |-Branch one:
% 30.77/7.97 | (6372) all_0_239_239 = e22
% 30.77/7.97 |
% 30.77/7.97 | Equations (6372) can reduce 6318 to:
% 30.77/7.97 | (537) $false
% 30.77/7.97 |
% 30.77/7.97 |-The branch is then unsatisfiable
% 30.77/7.97 |-Branch two:
% 30.77/7.97 | (6318) ~ (all_0_239_239 = e22)
% 30.77/7.97 | (6335) all_0_240_240 = e22
% 30.77/7.97 |
% 30.77/7.97 | Combining equations (6335,662) yields a new equation:
% 30.77/7.97 | (657) e22 = e20
% 30.77/7.97 |
% 30.77/7.97 | Simplifying 657 yields:
% 30.77/7.97 | (658) e22 = e20
% 30.77/7.97 |
% 30.77/7.97 | Equations (658) can reduce 294 to:
% 30.77/7.97 | (537) $false
% 30.77/7.97 |
% 30.77/7.97 |-The branch is then unsatisfiable
% 30.77/7.98 |-Branch two:
% 30.77/7.98 | (666) ~ (all_0_240_240 = e20)
% 30.77/7.98 | (681) all_0_241_241 = e20
% 30.77/7.98 |
% 30.77/7.98 | Combining equations (585,681) yields a new equation:
% 30.77/7.98 | (663) e21 = e20
% 30.77/7.98 |
% 30.77/7.98 | Simplifying 663 yields:
% 30.77/7.98 | (664) e21 = e20
% 30.77/7.98 |
% 30.77/7.98 | Equations (664) can reduce 401 to:
% 30.77/7.98 | (537) $false
% 30.77/7.98 |
% 30.77/7.98 |-The branch is then unsatisfiable
% 30.77/7.98 |-Branch two:
% 30.77/7.98 | (606) ~ (all_0_235_235 = e23)
% 30.77/7.98 | (636) all_0_239_239 = e23 | all_0_243_243 = e23
% 30.77/7.98 |
% 30.77/7.98 +-Applying beta-rule and splitting (6626), into two cases.
% 30.77/7.98 |-Branch one:
% 30.77/7.98 | (633) all_0_235_235 = e23
% 30.77/7.98 |
% 30.77/7.98 | Equations (633) can reduce 606 to:
% 30.77/7.98 | (537) $false
% 30.77/7.98 |
% 30.77/7.98 |-The branch is then unsatisfiable
% 30.77/7.98 |-Branch two:
% 30.77/7.98 | (606) ~ (all_0_235_235 = e23)
% 30.77/7.98 | (589) all_0_237_237 = e23
% 30.77/7.98 |
% 30.77/7.98 | Combining equations (675,589) yields a new equation:
% 30.77/7.98 | (684) e23 = e20
% 30.77/7.98 |
% 30.77/7.98 | Equations (684) can reduce 14 to:
% 30.77/7.98 | (537) $false
% 30.77/7.98 |
% 30.77/7.98 |-The branch is then unsatisfiable
% 30.77/7.98 |-Branch two:
% 30.77/7.98 | (6501) ~ (all_0_245_245 = e23)
% 30.77/7.98 | (6295) all_0_245_245 = e20
% 30.77/7.98 |
% 30.77/7.98 | Equations (6295) can reduce 670 to:
% 30.77/7.98 | (537) $false
% 30.77/7.98 |
% 30.77/7.98 |-The branch is then unsatisfiable
% 30.77/7.98 |-Branch two:
% 30.77/7.98 | (608) ~ (all_0_238_238 = e23)
% 30.77/7.98 | (596) all_0_242_242 = e23
% 30.77/7.98 |
% 30.77/7.98 | Combining equations (500,596) yields a new equation:
% 30.77/7.98 | (590) e23 = e21
% 30.77/7.98 |
% 30.77/7.98 | Equations (590) can reduce 215 to:
% 30.77/7.98 | (537) $false
% 30.77/7.98 |
% 30.77/7.98 |-The branch is then unsatisfiable
% 30.77/7.98 |-Branch two:
% 30.77/7.98 | (6314) ~ (all_0_234_234 = e22)
% 30.77/7.98 | (6917) all_0_238_238 = e22 | all_0_242_242 = e22
% 30.77/7.98 |
% 30.77/7.98 +-Applying beta-rule and splitting (311), into two cases.
% 30.77/7.98 |-Branch one:
% 30.77/7.98 | (6310) all_0_234_234 = e22
% 30.77/7.98 |
% 30.77/7.98 | Equations (6310) can reduce 6314 to:
% 30.77/7.98 | (537) $false
% 30.77/7.98 |
% 30.77/7.98 |-The branch is then unsatisfiable
% 30.77/7.98 |-Branch two:
% 30.77/7.98 | (6314) ~ (all_0_234_234 = e22)
% 30.77/7.98 | (6315) all_0_235_235 = e22 | all_0_236_236 = e22
% 30.77/7.98 |
% 30.77/7.98 +-Applying beta-rule and splitting (6917), into two cases.
% 30.77/7.98 |-Branch one:
% 30.77/7.98 | (610) all_0_238_238 = e22
% 30.77/7.98 |
% 30.77/7.98 | Equations (610) can reduce 228 to:
% 30.77/7.98 | (6314) ~ (all_0_234_234 = e22)
% 30.77/7.98 |
% 30.77/7.98 | Equations (610) can reduce 306 to:
% 30.77/7.98 | (7133) ~ (all_0_240_240 = e22)
% 30.77/7.98 |
% 30.77/7.98 | Simplifying 7133 yields:
% 30.77/7.98 | (6338) ~ (all_0_240_240 = e22)
% 30.77/7.98 |
% 30.77/7.98 | From (610) and (133) follows:
% 30.77/7.98 | (616) op2(e22, e22) = all_0_144_144
% 30.77/7.98 |
% 30.77/7.98 | From (610) and (283) follows:
% 30.77/7.98 | (617) op2(e23, e22) = all_0_108_108
% 30.77/7.98 |
% 30.77/7.98 | From (610) and (235) follows:
% 30.77/7.98 | (618) op2(e22, e22) = all_0_145_145
% 30.77/7.98 |
% 30.77/7.98 +-Applying beta-rule and splitting (6309), into two cases.
% 30.77/7.98 |-Branch one:
% 30.77/7.98 | (6335) all_0_240_240 = e22
% 30.77/7.98 |
% 30.77/7.98 | Equations (6335) can reduce 6338 to:
% 30.77/7.98 | (537) $false
% 30.77/7.98 |
% 30.77/7.98 |-The branch is then unsatisfiable
% 30.77/7.98 |-Branch two:
% 30.77/7.98 | (6338) ~ (all_0_240_240 = e22)
% 30.77/7.98 | (6339) all_0_244_244 = e22
% 30.77/7.98 |
% 30.77/7.98 | Combining equations (6339,517) yields a new equation:
% 30.77/7.98 | (6340) all_0_155_155 = e22
% 30.77/7.98 |
% 30.77/7.98 | Equations (6339) can reduce 350 to:
% 30.77/7.98 | (6338) ~ (all_0_240_240 = e22)
% 30.77/7.98 |
% 30.77/7.98 | Equations (6339) can reduce 145 to:
% 30.77/7.98 | (6343) ~ (all_0_245_245 = e22)
% 30.77/7.98 |
% 30.77/7.98 | Simplifying 6343 yields:
% 30.77/7.98 | (439) ~ (all_0_245_245 = e22)
% 30.77/7.98 |
% 30.77/7.98 | Equations (6339) can reduce 95 to:
% 30.77/7.98 | (613) ~ (e23 = e22)
% 30.77/7.98 |
% 30.77/7.98 | Simplifying 613 yields:
% 30.77/7.98 | (449) ~ (e23 = e22)
% 30.77/7.98 |
% 30.77/7.98 | Equations (6339) can reduce 547 to:
% 30.77/7.98 | (92) ~ (e22 = e21)
% 30.77/7.98 |
% 30.77/7.98 | From (6339)(6339) and (2) follows:
% 30.77/7.98 | (6683) op2(e22, e22) = all_0_64_64
% 30.77/7.98 |
% 30.77/7.98 | From (6339) and (197) follows:
% 30.77/7.98 | (6684) op2(e23, e22) = all_0_126_126
% 30.77/7.98 |
% 30.77/7.98 | From (6339) and (13) follows:
% 30.77/7.99 | (6685) op2(e22, e22) = all_0_127_127
% 30.77/7.99 |
% 30.77/7.99 +-Applying beta-rule and splitting (324), into two cases.
% 30.77/7.99 |-Branch one:
% 30.77/7.99 | (656) all_0_236_236 = e20
% 30.77/7.99 |
% 30.77/7.99 | Combining equations (577,656) yields a new equation:
% 30.77/7.99 | (663) e21 = e20
% 30.77/7.99 |
% 30.77/7.99 | Simplifying 663 yields:
% 30.77/7.99 | (664) e21 = e20
% 30.77/7.99 |
% 30.77/7.99 | Equations (664) can reduce 401 to:
% 30.77/7.99 | (537) $false
% 30.77/7.99 |
% 30.77/7.99 |-The branch is then unsatisfiable
% 30.77/7.99 |-Branch two:
% 30.77/7.99 | (660) ~ (all_0_236_236 = e20)
% 30.77/7.99 | (661) all_0_240_240 = e20 | all_0_244_244 = e20
% 30.77/7.99 |
% 30.77/7.99 | Equations (577) can reduce 660 to:
% 30.77/7.99 | (401) ~ (e21 = e20)
% 30.77/7.99 |
% 30.77/7.99 +-Applying beta-rule and splitting (98), into two cases.
% 30.77/7.99 |-Branch one:
% 30.77/7.99 | (604) all_0_234_234 = e23
% 30.77/7.99 |
% 30.77/7.99 | Equations (604) can reduce 76 to:
% 30.77/7.99 | (7649) ~ (all_0_237_237 = e23)
% 30.77/7.99 |
% 30.77/7.99 | Simplifying 7649 yields:
% 30.77/7.99 | (592) ~ (all_0_237_237 = e23)
% 30.77/7.99 |
% 30.77/7.99 | Equations (604) can reduce 6314 to:
% 30.77/7.99 | (449) ~ (e23 = e22)
% 30.77/7.99 |
% 30.77/7.99 | Equations (604) can reduce 501 to:
% 30.77/7.99 | (215) ~ (e23 = e21)
% 30.77/7.99 |
% 30.77/7.99 | Equations (604) can reduce 11 to:
% 30.77/7.99 | (14) ~ (e23 = e20)
% 30.77/7.99 |
% 30.77/7.99 +-Applying beta-rule and splitting (397), into two cases.
% 30.77/7.99 |-Branch one:
% 30.77/7.99 | (637) all_0_238_238 = e23
% 30.77/7.99 |
% 30.77/7.99 | Combining equations (610,637) yields a new equation:
% 30.77/7.99 | (639) e23 = e22
% 30.77/7.99 |
% 30.77/7.99 | Equations (639) can reduce 449 to:
% 30.77/7.99 | (537) $false
% 30.77/7.99 |
% 30.77/7.99 |-The branch is then unsatisfiable
% 30.77/7.99 |-Branch two:
% 30.77/7.99 | (608) ~ (all_0_238_238 = e23)
% 30.77/7.99 | (642) all_0_239_239 = e23 | all_0_241_241 = e23
% 30.77/7.99 |
% 30.77/7.99 +-Applying beta-rule and splitting (281), into two cases.
% 30.77/7.99 |-Branch one:
% 30.77/7.99 | (647) all_0_235_235 = e22
% 30.77/7.99 |
% 30.77/7.99 | From (647) and (220) follows:
% 30.77/7.99 | (7660) op2(e22, e22) = all_0_134_134
% 30.77/7.99 |
% 30.77/7.99 | From (647) and (313) follows:
% 30.77/7.99 | (6320) op2(e23, e22) = all_0_136_136
% 30.77/7.99 |
% 30.77/7.99 | From (647) and (436) follows:
% 30.77/7.99 | (6321) op2(e23, e22) = e22
% 30.77/7.99 |
% 30.77/7.99 | From (647) and (163) follows:
% 30.77/7.99 | (7663) op2(e22, e22) = all_0_99_99
% 30.77/7.99 |
% 30.77/7.99 +-Applying beta-rule and splitting (642), into two cases.
% 30.77/7.99 |-Branch one:
% 30.77/7.99 | (692) all_0_239_239 = e23
% 30.77/7.99 |
% 30.77/7.99 | Equations (692) can reduce 84 to:
% 30.77/7.99 | (7044) ~ (all_0_240_240 = e23)
% 30.77/7.99 |
% 30.77/7.99 | Simplifying 7044 yields:
% 30.77/7.99 | (327) ~ (all_0_240_240 = e23)
% 30.77/7.99 |
% 30.77/7.99 | Equations (692) can reduce 18 to:
% 30.77/7.99 | (215) ~ (e23 = e21)
% 30.77/7.99 |
% 30.77/7.99 | From (692) and (292) follows:
% 30.77/7.99 | (7668) op2(e23, e22) = all_0_146_146
% 30.77/7.99 |
% 30.77/7.99 | From (692) and (256) follows:
% 30.77/7.99 | (7669) op2(e22, e22) = e23
% 30.77/7.99 |
% 30.77/7.99 +-Applying beta-rule and splitting (204), into two cases.
% 30.77/7.99 |-Branch one:
% 30.77/7.99 | (589) all_0_237_237 = e23
% 30.77/7.99 |
% 30.77/7.99 | Equations (589) can reduce 592 to:
% 30.77/7.99 | (537) $false
% 30.77/7.99 |
% 30.77/7.99 |-The branch is then unsatisfiable
% 30.77/7.99 |-Branch two:
% 30.77/7.99 | (592) ~ (all_0_237_237 = e23)
% 30.77/7.99 | (593) all_0_241_241 = e23 | all_0_245_245 = e23
% 30.77/7.99 |
% 30.77/7.99 +-Applying beta-rule and splitting (390), into two cases.
% 30.77/7.99 |-Branch one:
% 30.77/7.99 | (596) all_0_242_242 = e23
% 30.77/7.99 |
% 30.77/7.99 | Combining equations (596,500) yields a new equation:
% 30.77/7.99 | (597) e23 = e21
% 30.77/7.99 |
% 30.77/7.99 | Simplifying 597 yields:
% 30.77/7.99 | (590) e23 = e21
% 30.77/7.99 |
% 30.77/7.99 | Equations (590) can reduce 215 to:
% 30.77/7.99 | (537) $false
% 30.77/7.99 |
% 30.77/7.99 |-The branch is then unsatisfiable
% 30.77/7.99 |-Branch two:
% 30.77/7.99 | (600) ~ (all_0_242_242 = e23)
% 30.77/7.99 | (601) all_0_243_243 = e23 | all_0_245_245 = e23
% 30.77/7.99 |
% 30.77/7.99 | Equations (500) can reduce 600 to:
% 30.77/7.99 | (548) ~ (e23 = e21)
% 30.77/7.99 |
% 30.77/7.99 | Simplifying 548 yields:
% 30.77/7.99 | (215) ~ (e23 = e21)
% 30.77/7.99 |
% 30.77/7.99 +-Applying beta-rule and splitting (234), into two cases.
% 30.77/7.99 |-Branch one:
% 30.77/7.99 | (6389) all_0_239_239 = e20
% 30.77/7.99 |
% 30.77/7.99 | Combining equations (692,6389) yields a new equation:
% 30.77/7.99 | (683) e23 = e20
% 30.77/7.99 |
% 30.77/7.99 | Simplifying 683 yields:
% 30.77/7.99 | (684) e23 = e20
% 30.77/7.99 |
% 30.77/7.99 | Equations (684) can reduce 14 to:
% 30.77/7.99 | (537) $false
% 30.77/7.99 |
% 30.77/7.99 |-The branch is then unsatisfiable
% 30.77/7.99 |-Branch two:
% 30.77/7.99 | (6378) ~ (all_0_239_239 = e20)
% 30.77/7.99 | (6392) all_0_240_240 = e20 | all_0_241_241 = e20
% 30.77/7.99 |
% 30.77/7.99 | Equations (692) can reduce 6378 to:
% 30.77/7.99 | (14) ~ (e23 = e20)
% 30.77/7.99 |
% 30.77/7.99 +-Applying beta-rule and splitting (593), into two cases.
% 30.77/7.99 |-Branch one:
% 30.77/7.99 | (682) all_0_241_241 = e23
% 30.77/7.99 |
% 30.77/7.99 | Combining equations (585,682) yields a new equation:
% 30.77/7.99 | (590) e23 = e21
% 30.77/7.99 |
% 30.77/7.99 | Equations (590) can reduce 215 to:
% 30.77/7.99 | (537) $false
% 30.77/7.99 |
% 30.77/7.99 |-The branch is then unsatisfiable
% 30.77/7.99 |-Branch two:
% 30.77/7.99 | (686) ~ (all_0_241_241 = e23)
% 30.77/7.99 | (687) all_0_245_245 = e23
% 30.77/7.99 |
% 30.77/7.99 | Equations (687) can reduce 439 to:
% 30.77/7.99 | (449) ~ (e23 = e22)
% 30.77/7.99 |
% 30.77/7.99 | From (687) and (110) follows:
% 30.77/7.99 | (7322) op2(e23, e21) = all_0_163_163
% 30.77/7.99 |
% 30.77/7.99 +-Applying beta-rule and splitting (452), into two cases.
% 30.77/7.99 |-Branch one:
% 30.77/7.99 | (675) all_0_237_237 = e20
% 30.77/7.99 |
% 30.77/7.99 | From (675) and (4) follows:
% 30.77/7.99 | (7316) op2(e23, e20) = all_0_142_142
% 30.77/7.99 |
% 30.77/7.99 | From (675) and (441) follows:
% 30.77/7.99 | (7317) op2(e23, e20) = e20
% 30.77/7.99 |
% 30.77/7.99 | From (675) and (279) follows:
% 30.77/7.99 | (7318) op2(e22, e20) = all_0_105_105
% 30.77/7.99 |
% 30.77/7.99 +-Applying beta-rule and splitting (6992), into two cases.
% 30.77/7.99 |-Branch one:
% 30.77/7.99 | (6335) all_0_240_240 = e22
% 30.77/7.99 |
% 30.77/7.99 | Equations (6335) can reduce 6338 to:
% 30.77/7.99 | (537) $false
% 30.77/7.99 |
% 30.77/7.99 |-The branch is then unsatisfiable
% 30.77/7.99 |-Branch two:
% 30.77/7.99 | (6338) ~ (all_0_240_240 = e22)
% 30.77/7.99 | (662) all_0_240_240 = e20
% 30.77/7.99 |
% 30.77/7.99 | Combining equations (662,6982) yields a new equation:
% 30.77/7.99 | (7483) all_0_153_153 = e20
% 30.77/7.99 |
% 30.77/7.99 | Equations (662) can reduce 327 to:
% 30.77/7.99 | (671) ~ (e23 = e20)
% 30.77/7.99 |
% 30.77/7.99 | Simplifying 671 yields:
% 30.77/7.99 | (14) ~ (e23 = e20)
% 30.77/7.99 |
% 30.77/7.99 | Equations (662) can reduce 6338 to:
% 30.77/7.99 | (652) ~ (e22 = e20)
% 30.77/7.99 |
% 30.77/7.99 | Simplifying 652 yields:
% 30.77/7.99 | (294) ~ (e22 = e20)
% 30.77/7.99 |
% 30.77/7.99 | From (662) and (5) follows:
% 30.77/7.99 | (7170) op2(e20, e21) = all_0_148_148
% 30.77/7.99 |
% 30.77/7.99 | From (662) and (105) follows:
% 30.77/7.99 | (7710) op2(e23, e20) = all_0_114_114
% 30.77/7.99 |
% 30.77/7.99 | From (662) and (359) follows:
% 30.77/7.99 | (7171) op2(e22, e20) = all_0_150_150
% 30.77/7.99 |
% 30.77/7.99 +-Applying beta-rule and splitting (188), into two cases.
% 30.77/7.99 |-Branch one:
% 30.77/7.99 | (6292) all_0_243_243 = e20
% 30.77/7.99 |
% 30.77/7.99 | Equations (6292) can reduce 74 to:
% 30.77/7.99 | (654) ~ (e21 = e20)
% 30.77/7.99 |
% 30.77/7.99 | Simplifying 654 yields:
% 30.77/7.99 | (401) ~ (e21 = e20)
% 30.77/7.99 |
% 30.77/7.99 | From (6292) and (258) follows:
% 30.77/7.99 | (6382) op2(e20, e21) = all_0_158_158
% 30.77/7.99 |
% 30.77/7.99 | From (6292) and (376) follows:
% 30.77/7.99 | (7716) op2(e23, e20) = all_0_123_123
% 30.77/7.99 |
% 30.77/7.99 | From (6292) and (30) follows:
% 30.77/8.00 | (7717) op2(e22, e20) = all_0_124_124
% 30.77/8.00 |
% 30.77/8.00 | Instantiating formula (340) with e23, e22, all_0_126_126, all_0_108_108 and discharging atoms op2(e23, e22) = all_0_108_108, op2(e23, e22) = all_0_126_126, yields:
% 30.77/8.00 | (7718) all_0_108_108 = all_0_126_126
% 30.77/8.00 |
% 30.77/8.00 | Instantiating formula (340) with e23, e22, all_0_136_136, all_0_126_126 and discharging atoms op2(e23, e22) = all_0_126_126, op2(e23, e22) = all_0_136_136, yields:
% 30.77/8.00 | (7719) all_0_126_126 = all_0_136_136
% 30.77/8.00 |
% 30.77/8.00 | Instantiating formula (340) with e23, e22, all_0_146_146, all_0_136_136 and discharging atoms op2(e23, e22) = all_0_136_136, op2(e23, e22) = all_0_146_146, yields:
% 30.77/8.00 | (7720) all_0_136_136 = all_0_146_146
% 30.77/8.00 |
% 30.77/8.00 | Instantiating formula (340) with e23, e22, e22, all_0_108_108 and discharging atoms op2(e23, e22) = all_0_108_108, op2(e23, e22) = e22, yields:
% 30.77/8.00 | (7055) all_0_108_108 = e22
% 30.77/8.00 |
% 30.77/8.00 | Instantiating formula (340) with e23, e21, all_0_163_163, e21 and discharging atoms op2(e23, e21) = all_0_163_163, op2(e23, e21) = e21, yields:
% 30.77/8.00 | (7337) all_0_163_163 = e21
% 30.77/8.00 |
% 30.77/8.00 | Instantiating formula (340) with e23, e20, all_0_123_123, all_0_114_114 and discharging atoms op2(e23, e20) = all_0_114_114, op2(e23, e20) = all_0_123_123, yields:
% 30.77/8.00 | (7723) all_0_114_114 = all_0_123_123
% 30.77/8.00 |
% 30.77/8.00 | Instantiating formula (340) with e23, e20, all_0_142_142, all_0_123_123 and discharging atoms op2(e23, e20) = all_0_123_123, op2(e23, e20) = all_0_142_142, yields:
% 30.77/8.00 | (7724) all_0_123_123 = all_0_142_142
% 30.77/8.00 |
% 30.77/8.00 | Instantiating formula (340) with e23, e20, e20, all_0_114_114 and discharging atoms op2(e23, e20) = all_0_114_114, op2(e23, e20) = e20, yields:
% 30.77/8.00 | (7725) all_0_114_114 = e20
% 30.77/8.00 |
% 30.77/8.00 | Instantiating formula (340) with e22, e22, all_0_99_99, all_0_64_64 and discharging atoms op2(e22, e22) = all_0_64_64, op2(e22, e22) = all_0_99_99, yields:
% 30.77/8.00 | (7726) all_0_64_64 = all_0_99_99
% 30.77/8.00 |
% 30.77/8.00 | Instantiating formula (340) with e22, e22, all_0_127_127, all_0_64_64 and discharging atoms op2(e22, e22) = all_0_64_64, op2(e22, e22) = all_0_127_127, yields:
% 30.77/8.00 | (7727) all_0_64_64 = all_0_127_127
% 30.77/8.00 |
% 30.77/8.00 | Instantiating formula (340) with e22, e22, all_0_134_134, all_0_99_99 and discharging atoms op2(e22, e22) = all_0_99_99, op2(e22, e22) = all_0_134_134, yields:
% 30.77/8.00 | (7728) all_0_99_99 = all_0_134_134
% 30.77/8.00 |
% 30.77/8.00 | Instantiating formula (340) with e22, e22, all_0_144_144, all_0_99_99 and discharging atoms op2(e22, e22) = all_0_99_99, op2(e22, e22) = all_0_144_144, yields:
% 30.77/8.00 | (7729) all_0_99_99 = all_0_144_144
% 30.77/8.00 |
% 30.77/8.00 | Instantiating formula (340) with e22, e22, all_0_145_145, all_0_99_99 and discharging atoms op2(e22, e22) = all_0_99_99, op2(e22, e22) = all_0_145_145, yields:
% 30.77/8.00 | (7730) all_0_99_99 = all_0_145_145
% 30.77/8.00 |
% 30.77/8.00 | Instantiating formula (340) with e22, e22, e23, all_0_99_99 and discharging atoms op2(e22, e22) = all_0_99_99, op2(e22, e22) = e23, yields:
% 30.77/8.00 | (7731) all_0_99_99 = e23
% 30.77/8.00 |
% 30.77/8.00 | Instantiating formula (340) with e22, e20, all_0_105_105, e21 and discharging atoms op2(e22, e20) = all_0_105_105, op2(e22, e20) = e21, yields:
% 30.77/8.00 | (7340) all_0_105_105 = e21
% 30.77/8.00 |
% 30.77/8.00 | Instantiating formula (340) with e22, e20, all_0_124_124, all_0_105_105 and discharging atoms op2(e22, e20) = all_0_105_105, op2(e22, e20) = all_0_124_124, yields:
% 30.77/8.00 | (7733) all_0_105_105 = all_0_124_124
% 30.77/8.00 |
% 30.77/8.00 | Instantiating formula (340) with e22, e20, all_0_150_150, all_0_105_105 and discharging atoms op2(e22, e20) = all_0_105_105, op2(e22, e20) = all_0_150_150, yields:
% 30.77/8.00 | (7734) all_0_105_105 = all_0_150_150
% 30.77/8.00 |
% 30.77/8.00 | Instantiating formula (340) with e20, e21, all_0_148_148, e23 and discharging atoms op2(e20, e21) = all_0_148_148, op2(e20, e21) = e23, yields:
% 30.77/8.00 | (7192) all_0_148_148 = e23
% 30.77/8.00 |
% 30.77/8.00 | Instantiating formula (340) with e20, e21, all_0_158_158, all_0_148_148 and discharging atoms op2(e20, e21) = all_0_148_148, op2(e20, e21) = all_0_158_158, yields:
% 30.77/8.00 | (7501) all_0_148_148 = all_0_158_158
% 30.77/8.00 |
% 30.77/8.00 | Combining equations (7726,7727) yields a new equation:
% 30.77/8.00 | (7737) all_0_99_99 = all_0_127_127
% 30.77/8.00 |
% 30.77/8.00 | Simplifying 7737 yields:
% 30.77/8.00 | (7738) all_0_99_99 = all_0_127_127
% 30.77/8.00 |
% 30.77/8.00 | Combining equations (7730,7738) yields a new equation:
% 30.77/8.00 | (7739) all_0_127_127 = all_0_145_145
% 30.77/8.00 |
% 30.77/8.00 | Combining equations (7731,7738) yields a new equation:
% 30.77/8.00 | (7740) all_0_127_127 = e23
% 30.77/8.00 |
% 30.77/8.00 | Combining equations (7729,7738) yields a new equation:
% 30.77/8.00 | (7741) all_0_127_127 = all_0_144_144
% 30.77/8.00 |
% 30.77/8.00 | Combining equations (7728,7738) yields a new equation:
% 30.77/8.00 | (7742) all_0_127_127 = all_0_134_134
% 30.77/8.00 |
% 30.77/8.00 | Combining equations (7734,7733) yields a new equation:
% 30.77/8.00 | (7743) all_0_124_124 = all_0_150_150
% 30.77/8.00 |
% 30.77/8.00 | Combining equations (7340,7733) yields a new equation:
% 30.77/8.00 | (7744) all_0_124_124 = e21
% 30.77/8.00 |
% 30.77/8.01 | Combining equations (7718,7055) yields a new equation:
% 30.77/8.01 | (7745) all_0_126_126 = e22
% 30.77/8.01 |
% 30.77/8.01 | Simplifying 7745 yields:
% 30.77/8.01 | (7746) all_0_126_126 = e22
% 30.77/8.01 |
% 30.77/8.01 | Combining equations (7723,7725) yields a new equation:
% 30.77/8.01 | (7747) all_0_123_123 = e20
% 30.77/8.01 |
% 30.77/8.01 | Simplifying 7747 yields:
% 30.77/8.01 | (7748) all_0_123_123 = e20
% 30.77/8.01 |
% 30.77/8.01 | Combining equations (7724,7748) yields a new equation:
% 30.77/8.01 | (7749) all_0_142_142 = e20
% 30.77/8.01 |
% 30.77/8.01 | Simplifying 7749 yields:
% 30.77/8.01 | (7339) all_0_142_142 = e20
% 30.77/8.01 |
% 30.77/8.01 | Combining equations (7744,7743) yields a new equation:
% 30.77/8.01 | (7203) all_0_150_150 = e21
% 30.77/8.01 |
% 30.77/8.01 | Combining equations (7719,7746) yields a new equation:
% 30.77/8.01 | (7345) all_0_136_136 = e22
% 30.77/8.01 |
% 30.77/8.01 | Simplifying 7345 yields:
% 30.77/8.01 | (6354) all_0_136_136 = e22
% 30.77/8.01 |
% 30.77/8.01 | Combining equations (7739,7742) yields a new equation:
% 30.77/8.01 | (7754) all_0_134_134 = all_0_145_145
% 30.77/8.01 |
% 30.77/8.01 | Combining equations (7741,7742) yields a new equation:
% 30.77/8.01 | (6758) all_0_134_134 = all_0_144_144
% 30.77/8.01 |
% 30.77/8.01 | Combining equations (7740,7742) yields a new equation:
% 30.77/8.01 | (6718) all_0_134_134 = e23
% 30.77/8.01 |
% 30.77/8.01 | Combining equations (7754,6758) yields a new equation:
% 30.77/8.01 | (623) all_0_144_144 = all_0_145_145
% 30.77/8.01 |
% 30.77/8.01 | Combining equations (6718,6758) yields a new equation:
% 30.77/8.01 | (6448) all_0_144_144 = e23
% 30.77/8.01 |
% 30.77/8.01 | Combining equations (6354,7720) yields a new equation:
% 30.77/8.01 | (6755) all_0_146_146 = e22
% 30.77/8.01 |
% 30.77/8.01 | Combining equations (6448,623) yields a new equation:
% 30.77/8.01 | (6394) all_0_145_145 = e23
% 30.77/8.01 |
% 30.77/8.01 | Combining equations (7501,7192) yields a new equation:
% 30.77/8.01 | (7761) all_0_158_158 = e23
% 30.77/8.01 |
% 30.77/8.01 | Simplifying 7761 yields:
% 30.77/8.01 | (6418) all_0_158_158 = e23
% 30.77/8.01 |
% 30.77/8.01 | Combining equations (6755,7720) yields a new equation:
% 30.77/8.01 | (6354) all_0_136_136 = e22
% 30.77/8.01 |
% 30.77/8.01 +-Applying beta-rule and splitting (69), into two cases.
% 30.77/8.01 |-Branch one:
% 30.77/8.01 | (6421) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)) | (all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20))
% 30.77/8.01 |
% 30.77/8.01 +-Applying beta-rule and splitting (6421), into two cases.
% 30.77/8.01 |-Branch one:
% 30.77/8.02 | (6422) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22))
% 30.77/8.02 |
% 30.77/8.02 +-Applying beta-rule and splitting (6422), into two cases.
% 30.77/8.02 |-Branch one:
% 30.77/8.02 | (6423) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23))
% 30.77/8.02 |
% 30.77/8.02 +-Applying beta-rule and splitting (6423), into two cases.
% 30.77/8.02 |-Branch one:
% 30.77/8.02 | (6424) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20))
% 30.77/8.02 |
% 30.77/8.02 +-Applying beta-rule and splitting (6424), into two cases.
% 30.77/8.02 |-Branch one:
% 30.77/8.02 | (6425) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21))
% 30.77/8.02 |
% 30.77/8.02 +-Applying beta-rule and splitting (6425), into two cases.
% 30.77/8.02 |-Branch one:
% 30.77/8.02 | (6426) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23))
% 30.77/8.02 |
% 30.77/8.02 +-Applying beta-rule and splitting (6426), into two cases.
% 30.77/8.02 |-Branch one:
% 30.77/8.02 | (6427) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20))
% 30.77/8.02 |
% 30.77/8.02 +-Applying beta-rule and splitting (6427), into two cases.
% 30.77/8.02 |-Branch one:
% 30.77/8.02 | (6428) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21))
% 30.77/8.02 |
% 30.77/8.02 +-Applying beta-rule and splitting (6428), into two cases.
% 30.77/8.02 |-Branch one:
% 30.77/8.02 | (6429) all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)
% 30.77/8.02 |
% 30.77/8.02 | Applying alpha-rule on (6429) yields:
% 30.77/8.02 | (6430) all_0_135_135 = e22
% 30.77/8.02 | (6431) ~ (all_0_134_134 = e23)
% 30.77/8.02 | (6432) ~ (all_0_136_136 = e22)
% 30.77/8.02 |
% 30.77/8.02 | Equations (6354) can reduce 6432 to:
% 30.77/8.02 | (537) $false
% 30.77/8.02 |
% 30.77/8.02 |-The branch is then unsatisfiable
% 30.77/8.02 |-Branch two:
% 30.77/8.02 | (6434) all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)
% 30.77/8.02 |
% 30.77/8.02 | Applying alpha-rule on (6434) yields:
% 30.77/8.02 | (6435) all_0_138_138 = e21
% 30.77/8.02 | (6436) ~ (all_0_137_137 = e23)
% 30.77/8.02 | (6437) ~ (all_0_139_139 = e21)
% 30.77/8.02 |
% 30.77/8.02 | Equations (6355) can reduce 6437 to:
% 30.77/8.02 | (537) $false
% 30.77/8.02 |
% 30.77/8.02 |-The branch is then unsatisfiable
% 30.77/8.02 |-Branch two:
% 30.77/8.02 | (6441) all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)
% 30.77/8.02 |
% 30.77/8.02 | Applying alpha-rule on (6441) yields:
% 30.77/8.02 | (6442) all_0_141_141 = e20
% 30.77/8.02 | (6443) ~ (all_0_140_140 = e23)
% 30.77/8.02 | (6444) ~ (all_0_142_142 = e20)
% 30.77/8.02 |
% 30.77/8.02 | Equations (7339) can reduce 6444 to:
% 30.77/8.02 | (537) $false
% 30.77/8.02 |
% 30.77/8.02 |-The branch is then unsatisfiable
% 30.77/8.02 |-Branch two:
% 30.77/8.02 | (6447) all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)
% 30.77/8.02 |
% 30.77/8.02 | Applying alpha-rule on (6447) yields:
% 30.77/8.02 | (6448) all_0_144_144 = e23
% 30.77/8.02 | (6449) ~ (all_0_143_143 = e22)
% 30.77/8.02 | (6450) ~ (all_0_145_145 = e23)
% 30.77/8.02 |
% 30.77/8.02 | Equations (6394) can reduce 6450 to:
% 30.77/8.02 | (537) $false
% 30.77/8.02 |
% 30.77/8.02 |-The branch is then unsatisfiable
% 30.77/8.02 |-Branch two:
% 30.77/8.02 | (6452) all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)
% 30.77/8.02 |
% 30.77/8.02 | Applying alpha-rule on (6452) yields:
% 30.77/8.02 | (6453) all_0_149_149 = e21
% 30.77/8.02 | (6454) ~ (all_0_148_148 = e22)
% 30.77/8.02 | (6455) ~ (all_0_150_150 = e21)
% 30.77/8.02 |
% 30.77/8.02 | Equations (7203) can reduce 6455 to:
% 30.77/8.02 | (537) $false
% 30.77/8.02 |
% 30.77/8.02 |-The branch is then unsatisfiable
% 30.77/8.02 |-Branch two:
% 30.77/8.02 | (6458) all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)
% 30.77/8.02 |
% 30.77/8.03 | Applying alpha-rule on (6458) yields:
% 30.77/8.03 | (6459) all_0_152_152 = e20
% 30.77/8.03 | (6460) ~ (all_0_151_151 = e22)
% 30.77/8.03 | (6461) ~ (all_0_153_153 = e20)
% 30.77/8.03 |
% 30.77/8.03 | Equations (7483) can reduce 6461 to:
% 30.77/8.03 | (537) $false
% 30.77/8.03 |
% 30.77/8.03 |-The branch is then unsatisfiable
% 30.77/8.03 |-Branch two:
% 30.77/8.03 | (6465) all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)
% 30.77/8.03 |
% 30.77/8.03 | Applying alpha-rule on (6465) yields:
% 30.77/8.03 | (6466) all_0_155_155 = e23
% 30.77/8.03 | (6467) ~ (all_0_154_154 = e21)
% 30.77/8.03 | (6468) ~ (all_0_156_156 = e23)
% 30.77/8.03 |
% 30.77/8.03 | Combining equations (6340,6466) yields a new equation:
% 30.77/8.03 | (639) e23 = e22
% 30.77/8.03 |
% 30.77/8.03 | Equations (639) can reduce 449 to:
% 30.77/8.03 | (537) $false
% 30.77/8.03 |
% 30.77/8.03 |-The branch is then unsatisfiable
% 30.77/8.03 |-Branch two:
% 30.77/8.03 | (6471) all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)
% 30.77/8.03 |
% 30.77/8.03 | Applying alpha-rule on (6471) yields:
% 30.77/8.03 | (6472) all_0_158_158 = e22
% 30.77/8.03 | (6473) ~ (all_0_157_157 = e21)
% 30.77/8.03 | (6474) ~ (all_0_159_159 = e22)
% 30.77/8.03 |
% 30.77/8.03 | Combining equations (6472,6418) yields a new equation:
% 30.77/8.03 | (639) e23 = e22
% 30.77/8.03 |
% 30.77/8.03 | Equations (639) can reduce 449 to:
% 30.77/8.03 | (537) $false
% 30.77/8.03 |
% 30.77/8.03 |-The branch is then unsatisfiable
% 30.77/8.03 |-Branch two:
% 30.77/8.03 | (6478) all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20)
% 30.77/8.03 |
% 30.77/8.03 | Applying alpha-rule on (6478) yields:
% 30.77/8.03 | (6479) all_0_163_163 = e20
% 30.77/8.03 | (6480) ~ (all_0_162_162 = e21)
% 30.77/8.03 | (6481) ~ (all_0_164_164 = e20)
% 30.77/8.03 |
% 30.77/8.03 | Combining equations (6479,7337) yields a new equation:
% 30.77/8.03 | (664) e21 = e20
% 30.77/8.03 |
% 30.77/8.03 | Equations (664) can reduce 401 to:
% 30.77/8.03 | (537) $false
% 30.77/8.03 |
% 30.77/8.03 |-The branch is then unsatisfiable
% 30.77/8.03 |-Branch two:
% 30.77/8.03 | (6483) all_0_237_237 = e21 & ~ (all_0_236_236 = e20)
% 30.77/8.03 |
% 30.77/8.03 | Applying alpha-rule on (6483) yields:
% 30.77/8.03 | (523) all_0_237_237 = e21
% 30.77/8.03 | (660) ~ (all_0_236_236 = e20)
% 30.77/8.03 |
% 30.77/8.03 | Combining equations (523,675) yields a new equation:
% 30.77/8.03 | (663) e21 = e20
% 30.77/8.03 |
% 30.77/8.03 | Simplifying 663 yields:
% 30.77/8.03 | (664) e21 = e20
% 30.77/8.03 |
% 30.77/8.03 | Equations (664) can reduce 401 to:
% 30.77/8.03 | (537) $false
% 30.77/8.03 |
% 30.77/8.03 |-The branch is then unsatisfiable
% 30.77/8.03 |-Branch two:
% 30.77/8.03 | (668) ~ (all_0_243_243 = e20)
% 30.77/8.03 | (6491) all_0_244_244 = e20 | all_0_245_245 = e20
% 30.77/8.03 |
% 30.77/8.03 +-Applying beta-rule and splitting (365), into two cases.
% 30.77/8.03 |-Branch one:
% 30.77/8.03 | (651) all_0_235_235 = e20
% 30.77/8.03 |
% 30.77/8.03 | Combining equations (647,651) yields a new equation:
% 30.77/8.03 | (657) e22 = e20
% 30.77/8.03 |
% 30.77/8.03 | Simplifying 657 yields:
% 30.77/8.03 | (658) e22 = e20
% 30.77/8.03 |
% 30.77/8.03 | Equations (658) can reduce 294 to:
% 30.77/8.03 | (537) $false
% 30.77/8.03 |
% 30.77/8.03 |-The branch is then unsatisfiable
% 30.77/8.03 |-Branch two:
% 30.77/8.03 | (6297) ~ (all_0_235_235 = e20)
% 30.77/8.03 | (6497) all_0_239_239 = e20 | all_0_243_243 = e20
% 30.77/8.03 |
% 30.77/8.03 +-Applying beta-rule and splitting (6497), into two cases.
% 30.77/8.03 |-Branch one:
% 30.77/8.03 | (6389) all_0_239_239 = e20
% 30.77/8.03 |
% 30.77/8.03 | Combining equations (6389,692) yields a new equation:
% 30.77/8.03 | (684) e23 = e20
% 30.77/8.03 |
% 30.77/8.03 | Equations (684) can reduce 14 to:
% 30.77/8.03 | (537) $false
% 30.77/8.03 |
% 30.77/8.03 |-The branch is then unsatisfiable
% 30.77/8.03 |-Branch two:
% 30.77/8.03 | (6378) ~ (all_0_239_239 = e20)
% 30.77/8.03 | (6292) all_0_243_243 = e20
% 30.77/8.03 |
% 30.77/8.03 | Equations (6292) can reduce 668 to:
% 30.77/8.03 | (537) $false
% 30.77/8.03 |
% 30.77/8.03 |-The branch is then unsatisfiable
% 30.77/8.03 |-Branch two:
% 30.77/8.03 | (679) ~ (all_0_237_237 = e20)
% 30.77/8.03 | (680) all_0_241_241 = e20 | all_0_245_245 = e20
% 30.77/8.03 |
% 30.77/8.03 +-Applying beta-rule and splitting (680), into two cases.
% 30.77/8.03 |-Branch one:
% 30.77/8.03 | (681) all_0_241_241 = e20
% 30.77/8.03 |
% 30.77/8.03 | Combining equations (681,585) yields a new equation:
% 30.77/8.03 | (664) e21 = e20
% 30.77/8.03 |
% 30.77/8.03 | Equations (664) can reduce 401 to:
% 30.77/8.03 | (537) $false
% 30.77/8.03 |
% 30.77/8.03 |-The branch is then unsatisfiable
% 30.77/8.03 |-Branch two:
% 30.77/8.03 | (6294) ~ (all_0_241_241 = e20)
% 30.77/8.03 | (6295) all_0_245_245 = e20
% 30.77/8.03 |
% 30.77/8.03 | Combining equations (6295,687) yields a new equation:
% 30.77/8.03 | (684) e23 = e20
% 30.77/8.03 |
% 30.77/8.03 | Equations (684) can reduce 14 to:
% 30.77/8.03 | (537) $false
% 30.77/8.03 |
% 30.77/8.03 |-The branch is then unsatisfiable
% 30.77/8.04 |-Branch two:
% 30.77/8.04 | (6283) ~ (all_0_239_239 = e23)
% 30.77/8.04 | (682) all_0_241_241 = e23
% 30.77/8.04 |
% 30.77/8.04 | Combining equations (585,682) yields a new equation:
% 30.77/8.04 | (590) e23 = e21
% 30.77/8.04 |
% 30.77/8.04 | Equations (590) can reduce 215 to:
% 30.77/8.04 | (537) $false
% 30.77/8.04 |
% 30.77/8.04 |-The branch is then unsatisfiable
% 30.77/8.04 |-Branch two:
% 30.77/8.04 | (646) ~ (all_0_235_235 = e22)
% 30.77/8.04 | (650) all_0_239_239 = e22 | all_0_243_243 = e22
% 30.77/8.04 |
% 30.77/8.04 +-Applying beta-rule and splitting (332), into two cases.
% 30.77/8.04 |-Branch one:
% 30.77/8.04 | (647) all_0_235_235 = e22
% 30.77/8.04 |
% 30.77/8.04 | Equations (647) can reduce 646 to:
% 30.77/8.04 | (537) $false
% 30.77/8.04 |
% 30.77/8.04 |-The branch is then unsatisfiable
% 30.77/8.04 |-Branch two:
% 30.77/8.04 | (646) ~ (all_0_235_235 = e22)
% 30.77/8.04 | (7858) all_0_235_235 = e23 | all_0_235_235 = e20
% 30.77/8.04 |
% 30.77/8.04 +-Applying beta-rule and splitting (6315), into two cases.
% 30.77/8.04 |-Branch one:
% 30.77/8.04 | (647) all_0_235_235 = e22
% 30.77/8.04 |
% 30.77/8.04 | Equations (647) can reduce 646 to:
% 30.77/8.04 | (537) $false
% 30.77/8.04 |
% 30.77/8.04 |-The branch is then unsatisfiable
% 30.77/8.04 |-Branch two:
% 30.77/8.04 | (646) ~ (all_0_235_235 = e22)
% 30.77/8.04 | (645) all_0_236_236 = e22
% 30.77/8.04 |
% 30.77/8.04 | Combining equations (645,577) yields a new equation:
% 30.77/8.04 | (6913) e22 = e21
% 30.77/8.04 |
% 30.77/8.04 | Simplifying 6913 yields:
% 30.77/8.04 | (6323) e22 = e21
% 30.77/8.04 |
% 30.77/8.04 | Equations (6323) can reduce 92 to:
% 30.77/8.04 | (537) $false
% 30.77/8.04 |
% 30.77/8.04 |-The branch is then unsatisfiable
% 30.77/8.04 |-Branch two:
% 30.77/8.04 | (6625) ~ (all_0_234_234 = e23)
% 30.77/8.04 | (6630) all_0_238_238 = e23 | all_0_242_242 = e23
% 30.77/8.04 |
% 30.77/8.04 +-Applying beta-rule and splitting (397), into two cases.
% 30.77/8.04 |-Branch one:
% 30.77/8.04 | (637) all_0_238_238 = e23
% 30.77/8.04 |
% 30.77/8.04 | Combining equations (610,637) yields a new equation:
% 30.77/8.04 | (639) e23 = e22
% 30.77/8.04 |
% 30.77/8.04 | Equations (639) can reduce 449 to:
% 30.77/8.04 | (537) $false
% 30.77/8.04 |
% 30.77/8.04 |-The branch is then unsatisfiable
% 30.77/8.04 |-Branch two:
% 30.77/8.04 | (608) ~ (all_0_238_238 = e23)
% 30.77/8.04 | (642) all_0_239_239 = e23 | all_0_241_241 = e23
% 30.77/8.04 |
% 30.77/8.04 | Equations (610) can reduce 608 to:
% 30.77/8.04 | (613) ~ (e23 = e22)
% 30.77/8.04 |
% 30.77/8.04 | Simplifying 613 yields:
% 30.77/8.04 | (449) ~ (e23 = e22)
% 30.77/8.04 |
% 30.77/8.04 +-Applying beta-rule and splitting (6630), into two cases.
% 30.77/8.04 |-Branch one:
% 30.77/8.04 | (637) all_0_238_238 = e23
% 30.77/8.04 |
% 30.77/8.04 | Combining equations (610,637) yields a new equation:
% 30.77/8.04 | (639) e23 = e22
% 30.77/8.04 |
% 30.77/8.04 | Equations (639) can reduce 449 to:
% 30.77/8.04 | (537) $false
% 30.77/8.04 |
% 30.77/8.04 |-The branch is then unsatisfiable
% 30.77/8.04 |-Branch two:
% 30.77/8.04 | (608) ~ (all_0_238_238 = e23)
% 30.77/8.04 | (596) all_0_242_242 = e23
% 30.77/8.04 |
% 30.77/8.04 | Combining equations (596,500) yields a new equation:
% 30.77/8.04 | (597) e23 = e21
% 30.77/8.04 |
% 30.77/8.04 | Simplifying 597 yields:
% 30.77/8.04 | (590) e23 = e21
% 30.77/8.04 |
% 30.77/8.04 | Equations (590) can reduce 215 to:
% 30.77/8.04 | (537) $false
% 30.77/8.04 |
% 30.77/8.04 |-The branch is then unsatisfiable
% 30.77/8.04 |-Branch two:
% 30.77/8.04 | (6622) ~ (all_0_238_238 = e22)
% 30.77/8.04 | (6322) all_0_242_242 = e22
% 30.77/8.04 |
% 30.77/8.04 | Combining equations (6322,500) yields a new equation:
% 30.77/8.04 | (6913) e22 = e21
% 30.77/8.04 |
% 30.77/8.04 | Simplifying 6913 yields:
% 30.77/8.04 | (6323) e22 = e21
% 30.77/8.04 |
% 30.77/8.04 | Equations (6323) can reduce 92 to:
% 30.77/8.04 | (537) $false
% 30.77/8.04 |
% 30.77/8.04 |-The branch is then unsatisfiable
% 30.77/8.04 |-Branch two:
% 30.77/8.04 | (541) ~ (all_0_236_236 = e21)
% 30.77/8.04 | (7889) all_0_240_240 = e21 | all_0_244_244 = e21
% 30.77/8.04 |
% 30.77/8.04 +-Applying beta-rule and splitting (6946), into two cases.
% 30.77/8.04 |-Branch one:
% 30.77/8.04 | (577) all_0_236_236 = e21
% 30.77/8.04 |
% 30.77/8.04 | Equations (577) can reduce 541 to:
% 30.77/8.04 | (537) $false
% 30.77/8.04 |
% 30.77/8.04 |-The branch is then unsatisfiable
% 30.77/8.04 |-Branch two:
% 30.77/8.04 | (541) ~ (all_0_236_236 = e21)
% 30.77/8.04 | (523) all_0_237_237 = e21
% 30.77/8.04 |
% 30.77/8.04 | Equations (523) can reduce 6941 to:
% 30.77/8.04 | (537) $false
% 30.77/8.04 |
% 30.77/8.04 |-The branch is then unsatisfiable
% 30.77/8.04 |-Branch two:
% 30.77/8.04 | (527) ~ (all_0_241_241 = e21)
% 30.77/8.04 | (569) all_0_245_245 = e21
% 30.77/8.04 |
% 30.77/8.04 | Equations (569) can reduce 506 to:
% 30.77/8.04 | (537) $false
% 30.77/8.04 |
% 30.77/8.04 |-The branch is then unsatisfiable
% 30.77/8.04 |-Branch two:
% 30.77/8.04 | (7898) ~ (all_0_242_242 = e21)
% 30.77/8.04 | (7899) all_0_244_244 = e21 | all_0_245_245 = e21
% 30.77/8.04 |
% 30.77/8.04 +-Applying beta-rule and splitting (176), into two cases.
% 30.77/8.04 |-Branch one:
% 30.77/8.04 | (573) all_0_234_234 = e21
% 30.77/8.04 |
% 30.77/8.04 | Equations (573) can reduce 466 to:
% 30.77/8.04 | (7901) ~ (all_0_235_235 = e21)
% 30.77/8.04 |
% 30.77/8.04 | Simplifying 7901 yields:
% 30.77/8.04 | (416) ~ (all_0_235_235 = e21)
% 30.77/8.04 |
% 30.77/8.04 | Equations (573) can reduce 475 to:
% 30.77/8.04 | (7903) ~ (all_0_236_236 = e21)
% 30.77/8.04 |
% 30.77/8.04 | Simplifying 7903 yields:
% 30.77/8.04 | (541) ~ (all_0_236_236 = e21)
% 30.77/8.04 |
% 30.77/8.04 | Equations (573) can reduce 76 to:
% 30.77/8.04 | (6962) ~ (all_0_237_237 = e21)
% 30.77/8.04 |
% 30.77/8.04 | Simplifying 6962 yields:
% 30.77/8.04 | (6941) ~ (all_0_237_237 = e21)
% 30.77/8.04 |
% 30.77/8.04 | Equations (573) can reduce 228 to:
% 30.77/8.04 | (7907) ~ (all_0_238_238 = e21)
% 30.77/8.04 |
% 30.77/8.05 | Simplifying 7907 yields:
% 30.77/8.05 | (502) ~ (all_0_238_238 = e21)
% 30.77/8.05 |
% 30.77/8.05 | Equations (573) can reduce 354 to:
% 30.77/8.05 | (7909) ~ (all_0_242_242 = e21)
% 30.77/8.05 |
% 30.77/8.05 | Simplifying 7909 yields:
% 30.77/8.05 | (7898) ~ (all_0_242_242 = e21)
% 30.77/8.05 |
% 30.77/8.05 | Equations (573) can reduce 11 to:
% 30.77/8.05 | (401) ~ (e21 = e20)
% 30.77/8.05 |
% 30.77/8.05 | From (573) and (43) follows:
% 30.77/8.05 | (7912) op2(all_0_133_133, e21) = all_0_18_18
% 30.77/8.05 |
% 30.77/8.05 | From (573)(573) and (149) follows:
% 30.77/8.05 | (7913) op2(e21, e21) = all_0_10_10
% 30.77/8.05 |
% 30.77/8.05 | From (573) and (270) follows:
% 30.77/8.05 | (7914) op2(e21, e23) = all_0_132_132
% 30.77/8.05 |
% 30.77/8.05 | From (573) and (471) follows:
% 30.77/8.05 | (7915) op2(e23, e21) = all_0_133_133
% 30.77/8.05 |
% 30.77/8.05 | From (573) and (308) follows:
% 30.77/8.05 | (7916) op2(e23, e23) = e21
% 30.77/8.05 |
% 30.77/8.05 | From (573) and (33) follows:
% 30.77/8.05 | (7917) op2(e22, e21) = all_0_96_96
% 30.77/8.05 |
% 30.77/8.05 | From (573) and (118) follows:
% 30.77/8.05 | (7918) op2(e21, e21) = all_0_97_97
% 30.77/8.05 |
% 30.77/8.05 | From (573) and (388) follows:
% 30.77/8.05 | (7919) op2(e20, e21) = all_0_98_98
% 30.77/8.05 |
% 30.77/8.05 | Instantiating formula (340) with e23, e21, all_0_133_133, all_0_236_236 and discharging atoms op2(e23, e21) = all_0_133_133, op2(e23, e21) = all_0_236_236, yields:
% 30.77/8.05 | (7920) all_0_133_133 = all_0_236_236
% 30.77/8.05 |
% 30.77/8.05 | Instantiating formula (340) with e22, e21, all_0_96_96, all_0_240_240 and discharging atoms op2(e22, e21) = all_0_96_96, op2(e22, e21) = all_0_240_240, yields:
% 30.77/8.05 | (7921) all_0_96_96 = all_0_240_240
% 30.77/8.05 |
% 30.77/8.05 | Instantiating formula (340) with e21, e23, all_0_132_132, all_0_242_242 and discharging atoms op2(e21, e23) = all_0_132_132, op2(e21, e23) = all_0_242_242, yields:
% 30.77/8.05 | (7922) all_0_132_132 = all_0_242_242
% 30.77/8.05 |
% 30.77/8.05 | Instantiating formula (340) with e21, e21, all_0_10_10, all_0_244_244 and discharging atoms op2(e21, e21) = all_0_10_10, op2(e21, e21) = all_0_244_244, yields:
% 30.77/8.05 | (7923) all_0_10_10 = all_0_244_244
% 30.77/8.05 |
% 30.77/8.05 | Instantiating formula (340) with e21, e21, all_0_97_97, all_0_10_10 and discharging atoms op2(e21, e21) = all_0_10_10, op2(e21, e21) = all_0_97_97, yields:
% 30.77/8.05 | (7924) all_0_10_10 = all_0_97_97
% 30.77/8.05 |
% 30.77/8.05 | Instantiating formula (340) with e20, e21, all_0_98_98, e23 and discharging atoms op2(e20, e21) = all_0_98_98, op2(e20, e21) = e23, yields:
% 30.77/8.05 | (7925) all_0_98_98 = e23
% 30.77/8.05 |
% 30.77/8.05 | Combining equations (7923,7924) yields a new equation:
% 30.77/8.05 | (7926) all_0_97_97 = all_0_244_244
% 30.77/8.05 |
% 30.77/8.05 | From (7920)(7920) and (261) follows:
% 30.89/8.05 | (7927) op2(all_0_236_236, all_0_236_236) = all_0_20_20
% 30.89/8.05 |
% 30.89/8.05 | From (7920) and (374) follows:
% 30.89/8.05 | (7928) op2(all_0_236_236, e23) = all_0_22_22
% 30.89/8.05 |
% 30.89/8.05 | From (7920) and (7912) follows:
% 30.89/8.05 | (7929) op2(all_0_236_236, e21) = all_0_18_18
% 30.89/8.05 |
% 30.89/8.05 | From (7920) and (341) follows:
% 30.89/8.05 | (7930) op2(e23, all_0_236_236) = all_0_93_93
% 30.89/8.05 |
% 30.89/8.05 | From (7920) and (7915) follows:
% 30.89/8.05 | (451) op2(e23, e21) = all_0_236_236
% 30.89/8.05 |
% 30.89/8.05 | From (7921) and (7917) follows:
% 30.89/8.05 | (473) op2(e22, e21) = all_0_240_240
% 30.89/8.05 |
% 30.89/8.05 | From (7922) and (7914) follows:
% 30.89/8.05 | (432) op2(e21, e23) = all_0_242_242
% 30.89/8.05 |
% 30.89/8.05 | From (7926) and (7918) follows:
% 30.89/8.05 | (139) op2(e21, e21) = all_0_244_244
% 30.89/8.05 |
% 30.89/8.05 | From (7925) and (7919) follows:
% 30.89/8.05 | (323) op2(e20, e21) = e23
% 30.89/8.05 |
% 30.89/8.05 | Instantiating formula (340) with all_0_236_236, e23, all_0_22_22, all_0_138_138 and discharging atoms op2(all_0_236_236, e23) = all_0_22_22, op2(all_0_236_236, e23) = all_0_138_138, yields:
% 30.89/8.05 | (7936) all_0_22_22 = all_0_138_138
% 30.89/8.05 |
% 30.89/8.05 | Instantiating formula (340) with all_0_236_236, e21, all_0_18_18, all_0_137_137 and discharging atoms op2(all_0_236_236, e21) = all_0_18_18, op2(all_0_236_236, e21) = all_0_137_137, yields:
% 30.89/8.05 | (7937) all_0_18_18 = all_0_137_137
% 30.89/8.05 |
% 30.89/8.05 | Instantiating formula (340) with e23, all_0_236_236, all_0_93_93, all_0_139_139 and discharging atoms op2(e23, all_0_236_236) = all_0_93_93, op2(e23, all_0_236_236) = all_0_139_139, yields:
% 30.89/8.06 | (7938) all_0_93_93 = all_0_139_139
% 30.89/8.06 |
% 30.89/8.06 | From (7936) and (7928) follows:
% 30.89/8.06 | (285) op2(all_0_236_236, e23) = all_0_138_138
% 30.89/8.06 |
% 30.89/8.06 | From (7937) and (7929) follows:
% 30.89/8.06 | (132) op2(all_0_236_236, e21) = all_0_137_137
% 30.89/8.06 |
% 30.89/8.06 | From (7938) and (7930) follows:
% 30.89/8.06 | (81) op2(e23, all_0_236_236) = all_0_139_139
% 30.89/8.06 |
% 30.89/8.06 +-Applying beta-rule and splitting (65), into two cases.
% 30.89/8.06 |-Branch one:
% 30.89/8.06 | (536) all_0_238_238 = e21
% 30.89/8.06 |
% 30.89/8.06 | Equations (536) can reduce 502 to:
% 30.89/8.06 | (537) $false
% 30.89/8.06 |
% 30.89/8.06 |-The branch is then unsatisfiable
% 30.89/8.06 |-Branch two:
% 30.89/8.06 | (502) ~ (all_0_238_238 = e21)
% 30.89/8.06 | (568) all_0_238_238 = e23 | all_0_238_238 = e22
% 30.89/8.06 |
% 30.89/8.06 +-Applying beta-rule and splitting (364), into two cases.
% 30.89/8.06 |-Branch one:
% 30.89/8.06 | (500) all_0_242_242 = e21
% 30.89/8.06 |
% 30.89/8.06 | Equations (500) can reduce 7898 to:
% 30.89/8.06 | (537) $false
% 30.89/8.06 |
% 30.89/8.06 |-The branch is then unsatisfiable
% 30.89/8.06 |-Branch two:
% 30.89/8.06 | (7898) ~ (all_0_242_242 = e21)
% 30.89/8.06 | (7949) all_0_242_242 = e23 | all_0_242_242 = e22
% 30.89/8.06 |
% 30.89/8.06 +-Applying beta-rule and splitting (52), into two cases.
% 30.89/8.06 |-Branch one:
% 30.89/8.06 | (523) all_0_237_237 = e21
% 30.89/8.06 |
% 30.89/8.06 | Equations (523) can reduce 6941 to:
% 30.89/8.06 | (537) $false
% 30.89/8.06 |
% 30.89/8.06 |-The branch is then unsatisfiable
% 30.89/8.06 |-Branch two:
% 30.89/8.06 | (6941) ~ (all_0_237_237 = e21)
% 30.89/8.06 | (6942) all_0_241_241 = e21 | all_0_245_245 = e21
% 30.89/8.06 |
% 30.89/8.06 +-Applying beta-rule and splitting (464), into two cases.
% 30.89/8.06 |-Branch one:
% 30.89/8.06 | (536) all_0_238_238 = e21
% 30.89/8.06 |
% 30.89/8.06 | Equations (536) can reduce 502 to:
% 30.89/8.06 | (537) $false
% 30.89/8.06 |
% 30.89/8.06 |-The branch is then unsatisfiable
% 30.89/8.06 |-Branch two:
% 30.89/8.06 | (502) ~ (all_0_238_238 = e21)
% 30.89/8.06 | (539) all_0_240_240 = e21 | all_0_241_241 = e21
% 30.89/8.06 |
% 30.89/8.06 +-Applying beta-rule and splitting (247), into two cases.
% 30.89/8.06 |-Branch one:
% 30.89/8.06 | (523) all_0_237_237 = e21
% 30.89/8.06 |
% 30.89/8.06 | Equations (523) can reduce 6941 to:
% 30.89/8.06 | (537) $false
% 30.89/8.06 |
% 30.89/8.06 |-The branch is then unsatisfiable
% 30.89/8.06 |-Branch two:
% 30.89/8.06 | (6941) ~ (all_0_237_237 = e21)
% 30.89/8.06 | (7004) all_0_237_237 = e23 | all_0_237_237 = e20
% 30.89/8.06 |
% 30.89/8.06 +-Applying beta-rule and splitting (195), into two cases.
% 30.89/8.06 |-Branch one:
% 30.89/8.06 | (577) all_0_236_236 = e21
% 30.89/8.06 |
% 30.89/8.06 | Equations (577) can reduce 541 to:
% 30.89/8.06 | (537) $false
% 30.89/8.06 |
% 30.89/8.06 |-The branch is then unsatisfiable
% 30.89/8.06 |-Branch two:
% 30.89/8.06 | (541) ~ (all_0_236_236 = e21)
% 30.89/8.06 | (580) all_0_236_236 = e22 | all_0_236_236 = e20
% 30.89/8.06 |
% 30.89/8.06 +-Applying beta-rule and splitting (122), into two cases.
% 30.89/8.06 |-Branch one:
% 30.89/8.06 | (577) all_0_236_236 = e21
% 30.89/8.06 |
% 30.89/8.06 | Equations (577) can reduce 541 to:
% 30.89/8.06 | (537) $false
% 30.89/8.06 |
% 30.89/8.06 |-The branch is then unsatisfiable
% 30.89/8.06 |-Branch two:
% 30.89/8.06 | (541) ~ (all_0_236_236 = e21)
% 30.89/8.06 | (7889) all_0_240_240 = e21 | all_0_244_244 = e21
% 30.89/8.06 |
% 30.89/8.06 +-Applying beta-rule and splitting (311), into two cases.
% 30.89/8.06 |-Branch one:
% 30.89/8.06 | (6310) all_0_234_234 = e22
% 30.89/8.06 |
% 30.89/8.06 | Combining equations (6310,573) yields a new equation:
% 30.89/8.06 | (6913) e22 = e21
% 30.89/8.06 |
% 30.89/8.06 | Simplifying 6913 yields:
% 30.89/8.06 | (6323) e22 = e21
% 30.89/8.06 |
% 30.89/8.06 | Equations (6323) can reduce 92 to:
% 30.89/8.06 | (537) $false
% 30.89/8.06 |
% 30.89/8.06 |-The branch is then unsatisfiable
% 30.89/8.06 |-Branch two:
% 30.89/8.06 | (6314) ~ (all_0_234_234 = e22)
% 30.89/8.06 | (6315) all_0_235_235 = e22 | all_0_236_236 = e22
% 30.89/8.06 |
% 30.89/8.06 | Equations (573) can reduce 6314 to:
% 30.89/8.06 | (530) ~ (e22 = e21)
% 30.89/8.06 |
% 30.89/8.06 | Simplifying 530 yields:
% 30.89/8.06 | (92) ~ (e22 = e21)
% 30.89/8.06 |
% 30.89/8.06 +-Applying beta-rule and splitting (430), into two cases.
% 30.89/8.06 |-Branch one:
% 30.89/8.06 | (604) all_0_234_234 = e23
% 30.89/8.06 |
% 30.89/8.06 | Combining equations (604,573) yields a new equation:
% 30.89/8.06 | (597) e23 = e21
% 30.89/8.06 |
% 30.89/8.06 | Simplifying 597 yields:
% 30.89/8.06 | (590) e23 = e21
% 30.89/8.06 |
% 30.89/8.06 | Equations (590) can reduce 215 to:
% 30.89/8.06 | (537) $false
% 30.89/8.06 |
% 30.89/8.06 |-The branch is then unsatisfiable
% 30.89/8.06 |-Branch two:
% 30.89/8.06 | (6625) ~ (all_0_234_234 = e23)
% 30.89/8.06 | (6626) all_0_235_235 = e23 | all_0_237_237 = e23
% 30.89/8.06 |
% 30.89/8.06 | Equations (573) can reduce 6625 to:
% 30.89/8.06 | (548) ~ (e23 = e21)
% 30.89/8.06 |
% 30.89/8.06 | Simplifying 548 yields:
% 30.89/8.06 | (215) ~ (e23 = e21)
% 30.89/8.06 |
% 30.89/8.06 +-Applying beta-rule and splitting (98), into two cases.
% 30.89/8.06 |-Branch one:
% 30.89/8.06 | (604) all_0_234_234 = e23
% 30.89/8.06 |
% 30.89/8.06 | Combining equations (604,573) yields a new equation:
% 30.89/8.06 | (597) e23 = e21
% 30.89/8.06 |
% 30.89/8.06 | Simplifying 597 yields:
% 30.89/8.06 | (590) e23 = e21
% 30.89/8.06 |
% 30.89/8.06 | Equations (590) can reduce 215 to:
% 30.89/8.06 | (537) $false
% 30.89/8.06 |
% 30.89/8.06 |-The branch is then unsatisfiable
% 30.89/8.06 |-Branch two:
% 30.89/8.06 | (6625) ~ (all_0_234_234 = e23)
% 30.89/8.06 | (6630) all_0_238_238 = e23 | all_0_242_242 = e23
% 30.89/8.06 |
% 30.89/8.06 +-Applying beta-rule and splitting (64), into two cases.
% 30.89/8.06 |-Branch one:
% 30.89/8.06 | (6310) all_0_234_234 = e22
% 30.89/8.06 |
% 30.89/8.06 | Combining equations (6310,573) yields a new equation:
% 30.89/8.06 | (6913) e22 = e21
% 30.89/8.06 |
% 30.89/8.06 | Simplifying 6913 yields:
% 30.89/8.06 | (6323) e22 = e21
% 30.89/8.06 |
% 30.89/8.06 | Equations (6323) can reduce 92 to:
% 30.89/8.06 | (537) $false
% 30.89/8.06 |
% 30.89/8.06 |-The branch is then unsatisfiable
% 30.89/8.06 |-Branch two:
% 30.89/8.06 | (6314) ~ (all_0_234_234 = e22)
% 30.89/8.06 | (6917) all_0_238_238 = e22 | all_0_242_242 = e22
% 30.89/8.06 |
% 30.89/8.06 +-Applying beta-rule and splitting (276), into two cases.
% 30.89/8.06 |-Branch one:
% 30.89/8.06 | (540) all_0_240_240 = e21
% 30.89/8.06 |
% 30.89/8.06 | Equations (540) can reduce 79 to:
% 30.89/8.06 | (541) ~ (all_0_236_236 = e21)
% 30.89/8.06 |
% 30.89/8.06 | Equations (540) can reduce 84 to:
% 30.89/8.06 | (18) ~ (all_0_239_239 = e21)
% 30.89/8.06 |
% 30.89/8.06 | Equations (540) can reduce 350 to:
% 30.89/8.06 | (546) ~ (all_0_244_244 = e21)
% 30.89/8.06 |
% 30.89/8.06 | Simplifying 546 yields:
% 30.89/8.06 | (547) ~ (all_0_244_244 = e21)
% 30.89/8.06 |
% 30.89/8.06 | From (540) and (426) follows:
% 30.89/8.06 | (550) op2(e21, e22) = all_0_149_149
% 30.89/8.06 |
% 30.89/8.06 | From (540) and (5) follows:
% 30.89/8.06 | (8004) op2(e21, e21) = all_0_148_148
% 30.89/8.06 |
% 30.89/8.06 | From (540) and (105) follows:
% 30.89/8.06 | (551) op2(e23, e21) = all_0_114_114
% 30.89/8.06 |
% 30.89/8.06 | From (540) and (359) follows:
% 30.89/8.06 | (8006) op2(e22, e21) = all_0_150_150
% 30.89/8.06 |
% 30.89/8.06 | From (540) and (473) follows:
% 30.89/8.06 | (8007) op2(e22, e21) = e21
% 30.89/8.06 |
% 30.89/8.06 | From (540) and (333) follows:
% 30.89/8.06 | (8008) op2(e21, e21) = all_0_115_115
% 30.89/8.06 |
% 30.89/8.06 | From (540) and (35) follows:
% 30.89/8.06 | (552) op2(e20, e21) = all_0_116_116
% 30.89/8.06 |
% 30.89/8.07 +-Applying beta-rule and splitting (7899), into two cases.
% 30.89/8.07 |-Branch one:
% 30.89/8.07 | (581) all_0_244_244 = e21
% 30.89/8.07 |
% 30.89/8.07 | Equations (581) can reduce 547 to:
% 30.89/8.07 | (537) $false
% 30.89/8.07 |
% 30.89/8.07 |-The branch is then unsatisfiable
% 30.89/8.07 |-Branch two:
% 30.89/8.07 | (547) ~ (all_0_244_244 = e21)
% 30.89/8.07 | (569) all_0_245_245 = e21
% 30.89/8.07 |
% 30.89/8.07 | Equations (569) can reduce 418 to:
% 30.89/8.07 | (6941) ~ (all_0_237_237 = e21)
% 30.89/8.07 |
% 30.89/8.07 | Equations (569) can reduce 137 to:
% 30.89/8.07 | (527) ~ (all_0_241_241 = e21)
% 30.89/8.07 |
% 30.89/8.07 | Equations (569) can reduce 44 to:
% 30.89/8.07 | (7898) ~ (all_0_242_242 = e21)
% 30.89/8.07 |
% 30.89/8.07 | Equations (569) can reduce 154 to:
% 30.89/8.07 | (74) ~ (all_0_243_243 = e21)
% 30.89/8.07 |
% 30.89/8.07 | Equations (569) can reduce 145 to:
% 30.89/8.07 | (547) ~ (all_0_244_244 = e21)
% 30.89/8.07 |
% 30.89/8.07 | From (569) and (110) follows:
% 30.89/8.07 | (8019) op2(e21, e21) = all_0_163_163
% 30.89/8.07 |
% 30.89/8.07 | From (569) and (330) follows:
% 30.89/8.07 | (8020) op2(e23, e21) = all_0_129_129
% 30.89/8.07 |
% 30.89/8.07 | From (569) and (164) follows:
% 30.89/8.07 | (8021) op2(e22, e21) = all_0_130_130
% 30.89/8.07 |
% 30.89/8.07 | From (569) and (402) follows:
% 30.89/8.07 | (8022) op2(e21, e21) = all_0_164_164
% 30.89/8.07 |
% 30.89/8.07 | From (569) and (469) follows:
% 30.89/8.07 | (8023) op2(e20, e21) = all_0_131_131
% 30.89/8.07 |
% 30.89/8.07 | Instantiating formula (340) with e23, e21, all_0_114_114, all_0_236_236 and discharging atoms op2(e23, e21) = all_0_114_114, op2(e23, e21) = all_0_236_236, yields:
% 30.89/8.07 | (553) all_0_114_114 = all_0_236_236
% 30.89/8.07 |
% 30.89/8.07 | Instantiating formula (340) with e23, e21, all_0_129_129, all_0_114_114 and discharging atoms op2(e23, e21) = all_0_114_114, op2(e23, e21) = all_0_129_129, yields:
% 30.89/8.07 | (8025) all_0_114_114 = all_0_129_129
% 30.89/8.07 |
% 30.89/8.07 | Instantiating formula (340) with e22, e21, all_0_150_150, all_0_130_130 and discharging atoms op2(e22, e21) = all_0_130_130, op2(e22, e21) = all_0_150_150, yields:
% 30.89/8.07 | (7188) all_0_130_130 = all_0_150_150
% 30.89/8.07 |
% 30.89/8.07 | Instantiating formula (340) with e22, e21, e21, all_0_130_130 and discharging atoms op2(e22, e21) = all_0_130_130, op2(e22, e21) = e21, yields:
% 30.89/8.07 | (7195) all_0_130_130 = e21
% 30.89/8.07 |
% 30.89/8.07 | Instantiating formula (340) with e21, e22, all_0_149_149, all_0_243_243 and discharging atoms op2(e21, e22) = all_0_149_149, op2(e21, e22) = all_0_243_243, yields:
% 30.89/8.07 | (556) all_0_149_149 = all_0_243_243
% 30.89/8.07 |
% 30.89/8.07 | Instantiating formula (340) with e21, e21, all_0_115_115, all_0_244_244 and discharging atoms op2(e21, e21) = all_0_115_115, op2(e21, e21) = all_0_244_244, yields:
% 30.89/8.07 | (8029) all_0_115_115 = all_0_244_244
% 30.89/8.07 |
% 30.89/8.07 | Instantiating formula (340) with e21, e21, all_0_148_148, all_0_115_115 and discharging atoms op2(e21, e21) = all_0_115_115, op2(e21, e21) = all_0_148_148, yields:
% 30.89/8.07 | (8030) all_0_115_115 = all_0_148_148
% 30.89/8.07 |
% 30.89/8.07 | Instantiating formula (340) with e21, e21, all_0_163_163, all_0_148_148 and discharging atoms op2(e21, e21) = all_0_148_148, op2(e21, e21) = all_0_163_163, yields:
% 30.89/8.07 | (7193) all_0_148_148 = all_0_163_163
% 30.89/8.07 |
% 30.89/8.07 | Instantiating formula (340) with e21, e21, all_0_164_164, all_0_163_163 and discharging atoms op2(e21, e21) = all_0_163_163, op2(e21, e21) = all_0_164_164, yields:
% 30.89/8.07 | (8032) all_0_163_163 = all_0_164_164
% 30.89/8.07 |
% 30.89/8.07 | Instantiating formula (340) with e20, e21, all_0_116_116, e23 and discharging atoms op2(e20, e21) = all_0_116_116, op2(e20, e21) = e23, yields:
% 30.89/8.07 | (559) all_0_116_116 = e23
% 30.89/8.07 |
% 30.89/8.07 | Instantiating formula (340) with e20, e21, all_0_131_131, all_0_116_116 and discharging atoms op2(e20, e21) = all_0_116_116, op2(e20, e21) = all_0_131_131, yields:
% 30.89/8.07 | (8034) all_0_116_116 = all_0_131_131
% 30.89/8.07 |
% 30.89/8.07 | Combining equations (553,8025) yields a new equation:
% 30.89/8.07 | (8035) all_0_129_129 = all_0_236_236
% 30.89/8.07 |
% 30.89/8.07 | Combining equations (8030,8029) yields a new equation:
% 30.89/8.07 | (8036) all_0_148_148 = all_0_244_244
% 30.89/8.07 |
% 30.89/8.07 | Simplifying 8036 yields:
% 30.89/8.07 | (8037) all_0_148_148 = all_0_244_244
% 30.89/8.07 |
% 30.89/8.07 | Combining equations (559,8034) yields a new equation:
% 30.89/8.07 | (8038) all_0_131_131 = e23
% 30.89/8.07 |
% 30.89/8.07 | Combining equations (7188,7195) yields a new equation:
% 30.89/8.07 | (7202) all_0_150_150 = e21
% 30.89/8.07 |
% 30.89/8.07 | Simplifying 7202 yields:
% 30.89/8.07 | (7203) all_0_150_150 = e21
% 30.89/8.07 |
% 30.89/8.07 | Combining equations (7193,8037) yields a new equation:
% 30.89/8.07 | (8041) all_0_163_163 = all_0_244_244
% 30.89/8.07 |
% 30.89/8.07 | Simplifying 8041 yields:
% 30.89/8.07 | (8042) all_0_163_163 = all_0_244_244
% 30.89/8.07 |
% 30.89/8.07 | Combining equations (8032,8042) yields a new equation:
% 30.89/8.07 | (8043) all_0_164_164 = all_0_244_244
% 30.89/8.07 |
% 30.89/8.07 | Simplifying 8043 yields:
% 30.89/8.07 | (8044) all_0_164_164 = all_0_244_244
% 30.89/8.07 |
% 30.89/8.07 | From (8035) and (8020) follows:
% 30.89/8.07 | (451) op2(e23, e21) = all_0_236_236
% 30.89/8.07 |
% 30.89/8.07 | From (7203) and (8006) follows:
% 30.89/8.08 | (8007) op2(e22, e21) = e21
% 30.89/8.08 |
% 30.89/8.08 | From (8038) and (8023) follows:
% 30.89/8.08 | (323) op2(e20, e21) = e23
% 30.89/8.08 |
% 30.89/8.08 +-Applying beta-rule and splitting (280), into two cases.
% 30.89/8.08 |-Branch one:
% 30.89/8.08 | (581) all_0_244_244 = e21
% 30.89/8.08 |
% 30.89/8.08 | Equations (581) can reduce 547 to:
% 30.89/8.08 | (537) $false
% 30.89/8.08 |
% 30.89/8.08 |-The branch is then unsatisfiable
% 30.89/8.08 |-Branch two:
% 30.89/8.08 | (547) ~ (all_0_244_244 = e21)
% 30.89/8.08 | (584) all_0_244_244 = e22 | all_0_244_244 = e20
% 30.89/8.08 |
% 30.89/8.08 +-Applying beta-rule and splitting (344), into two cases.
% 30.89/8.08 |-Branch one:
% 30.89/8.08 | (585) all_0_241_241 = e21
% 30.89/8.08 |
% 30.89/8.08 | Equations (585) can reduce 527 to:
% 30.89/8.08 | (537) $false
% 30.89/8.08 |
% 30.89/8.08 |-The branch is then unsatisfiable
% 30.89/8.08 |-Branch two:
% 30.89/8.08 | (527) ~ (all_0_241_241 = e21)
% 30.89/8.08 | (588) all_0_241_241 = e23 | all_0_241_241 = e20
% 30.89/8.08 |
% 30.89/8.08 +-Applying beta-rule and splitting (204), into two cases.
% 30.89/8.08 |-Branch one:
% 30.89/8.08 | (589) all_0_237_237 = e23
% 30.89/8.08 |
% 30.89/8.08 | Equations (589) can reduce 447 to:
% 30.89/8.08 | (606) ~ (all_0_235_235 = e23)
% 30.89/8.08 |
% 30.89/8.08 | Equations (589) can reduce 159 to:
% 30.89/8.08 | (425) ~ (all_0_236_236 = e23)
% 30.89/8.08 |
% 30.89/8.08 | Equations (589) can reduce 245 to:
% 30.89/8.08 | (6395) ~ (all_0_241_241 = e23)
% 30.89/8.08 |
% 30.89/8.08 | Simplifying 6395 yields:
% 30.89/8.08 | (686) ~ (all_0_241_241 = e23)
% 30.89/8.08 |
% 30.89/8.08 | Equations (589) can reduce 337 to:
% 30.89/8.08 | (449) ~ (e23 = e22)
% 30.89/8.08 |
% 30.89/8.08 | From (589) and (268) follows:
% 30.89/8.08 | (7105) op2(e23, e23) = all_0_141_141
% 30.89/8.08 |
% 30.89/8.08 +-Applying beta-rule and splitting (588), into two cases.
% 30.89/8.08 |-Branch one:
% 30.89/8.08 | (682) all_0_241_241 = e23
% 30.89/8.08 |
% 30.89/8.08 | Equations (682) can reduce 686 to:
% 30.89/8.08 | (537) $false
% 30.89/8.08 |
% 30.89/8.08 |-The branch is then unsatisfiable
% 30.89/8.08 |-Branch two:
% 30.89/8.08 | (686) ~ (all_0_241_241 = e23)
% 30.89/8.08 | (681) all_0_241_241 = e20
% 30.89/8.08 |
% 30.89/8.08 | Equations (681) can reduce 265 to:
% 30.89/8.08 | (208) ~ (all_0_238_238 = e20)
% 30.89/8.08 |
% 30.89/8.08 | Equations (681) can reduce 379 to:
% 30.89/8.08 | (6378) ~ (all_0_239_239 = e20)
% 30.89/8.08 |
% 30.89/8.08 | Equations (681) can reduce 686 to:
% 30.89/8.08 | (671) ~ (e23 = e20)
% 30.89/8.08 |
% 30.89/8.08 | Simplifying 671 yields:
% 30.89/8.08 | (14) ~ (e23 = e20)
% 30.89/8.08 |
% 30.89/8.08 | Equations (681) can reduce 527 to:
% 30.89/8.08 | (654) ~ (e21 = e20)
% 30.89/8.08 |
% 30.89/8.08 | Simplifying 654 yields:
% 30.89/8.08 | (401) ~ (e21 = e20)
% 30.89/8.08 |
% 30.89/8.08 | From (681) and (463) follows:
% 30.89/8.08 | (6407) op2(e20, e22) = all_0_152_152
% 30.89/8.08 |
% 30.89/8.08 | Instantiating formula (340) with e23, e23, all_0_141_141, e21 and discharging atoms op2(e23, e23) = all_0_141_141, op2(e23, e23) = e21, yields:
% 30.89/8.08 | (555) all_0_141_141 = e21
% 30.89/8.08 |
% 30.89/8.08 | Instantiating formula (340) with e20, e22, all_0_152_152, e21 and discharging atoms op2(e20, e22) = all_0_152_152, op2(e20, e22) = e21, yields:
% 30.89/8.08 | (6416) all_0_152_152 = e21
% 30.89/8.08 |
% 30.89/8.08 +-Applying beta-rule and splitting (448), into two cases.
% 30.89/8.08 |-Branch one:
% 30.89/8.08 | (633) all_0_235_235 = e23
% 30.89/8.08 |
% 30.89/8.08 | Equations (633) can reduce 606 to:
% 30.89/8.08 | (537) $false
% 30.89/8.08 |
% 30.89/8.08 |-The branch is then unsatisfiable
% 30.89/8.08 |-Branch two:
% 30.89/8.08 | (606) ~ (all_0_235_235 = e23)
% 30.89/8.08 | (636) all_0_239_239 = e23 | all_0_243_243 = e23
% 30.89/8.08 |
% 30.89/8.08 +-Applying beta-rule and splitting (82), into two cases.
% 30.89/8.08 |-Branch one:
% 30.89/8.08 | (6372) all_0_239_239 = e22
% 30.89/8.08 |
% 30.89/8.08 | Equations (6372) can reduce 415 to:
% 30.89/8.08 | (646) ~ (all_0_235_235 = e22)
% 30.89/8.08 |
% 30.89/8.08 | Equations (6372) can reduce 287 to:
% 30.89/8.08 | (6622) ~ (all_0_238_238 = e22)
% 30.89/8.08 |
% 30.89/8.08 +-Applying beta-rule and splitting (397), into two cases.
% 30.89/8.08 |-Branch one:
% 30.89/8.08 | (637) all_0_238_238 = e23
% 30.89/8.08 |
% 30.89/8.08 | Equations (637) can reduce 6622 to:
% 30.89/8.08 | (449) ~ (e23 = e22)
% 30.89/8.08 |
% 30.89/8.08 | From (637) and (133) follows:
% 30.89/8.08 | (6635) op2(e23, e22) = all_0_144_144
% 30.89/8.08 |
% 30.89/8.08 | From (637) and (171) follows:
% 30.89/8.08 | (7052) op2(e22, e23) = e23
% 30.89/8.08 |
% 30.89/8.08 +-Applying beta-rule and splitting (332), into two cases.
% 30.89/8.08 |-Branch one:
% 30.89/8.08 | (647) all_0_235_235 = e22
% 30.89/8.08 |
% 30.89/8.08 | Equations (647) can reduce 646 to:
% 30.89/8.08 | (537) $false
% 30.89/8.08 |
% 30.89/8.08 |-The branch is then unsatisfiable
% 30.89/8.08 |-Branch two:
% 30.89/8.08 | (646) ~ (all_0_235_235 = e22)
% 30.89/8.08 | (7858) all_0_235_235 = e23 | all_0_235_235 = e20
% 30.89/8.08 |
% 30.89/8.08 +-Applying beta-rule and splitting (636), into two cases.
% 30.89/8.08 |-Branch one:
% 30.89/8.08 | (692) all_0_239_239 = e23
% 30.89/8.08 |
% 30.89/8.08 | Combining equations (6372,692) yields a new equation:
% 30.89/8.08 | (639) e23 = e22
% 30.89/8.08 |
% 30.89/8.08 | Equations (639) can reduce 449 to:
% 30.89/8.08 | (537) $false
% 30.89/8.08 |
% 30.89/8.08 |-The branch is then unsatisfiable
% 30.89/8.08 |-Branch two:
% 30.89/8.08 | (6283) ~ (all_0_239_239 = e23)
% 30.89/8.08 | (6284) all_0_243_243 = e23
% 30.89/8.08 |
% 30.89/8.08 | Combining equations (6284,556) yields a new equation:
% 30.89/8.08 | (6499) all_0_149_149 = e23
% 30.89/8.08 |
% 30.89/8.08 | Equations (6284) can reduce 212 to:
% 30.89/8.08 | (606) ~ (all_0_235_235 = e23)
% 30.89/8.08 |
% 30.89/8.08 | Equations (6284) can reduce 392 to:
% 30.89/8.08 | (600) ~ (all_0_242_242 = e23)
% 30.89/8.08 |
% 30.89/8.08 | Equations (6284) can reduce 362 to:
% 30.89/8.08 | (7125) ~ (all_0_244_244 = e23)
% 30.89/8.08 |
% 30.89/8.08 | Simplifying 7125 yields:
% 30.89/8.08 | (95) ~ (all_0_244_244 = e23)
% 30.89/8.08 |
% 30.89/8.08 | Equations (6284) can reduce 74 to:
% 30.89/8.08 | (215) ~ (e23 = e21)
% 30.89/8.08 |
% 30.89/8.08 | From (6284) and (370) follows:
% 30.89/8.08 | (8102) op2(e21, e23) = all_0_159_159
% 30.89/8.08 |
% 30.89/8.08 +-Applying beta-rule and splitting (7858), into two cases.
% 30.89/8.08 |-Branch one:
% 30.89/8.08 | (633) all_0_235_235 = e23
% 30.89/8.08 |
% 30.89/8.08 | Equations (633) can reduce 606 to:
% 30.89/8.08 | (537) $false
% 30.89/8.08 |
% 30.89/8.08 |-The branch is then unsatisfiable
% 30.89/8.08 |-Branch two:
% 30.89/8.08 | (606) ~ (all_0_235_235 = e23)
% 30.89/8.08 | (651) all_0_235_235 = e20
% 30.89/8.08 |
% 30.89/8.08 | Equations (651) can reduce 107 to:
% 30.89/8.08 | (8107) ~ (all_0_236_236 = e20)
% 30.89/8.08 |
% 30.89/8.08 | Simplifying 8107 yields:
% 30.89/8.08 | (660) ~ (all_0_236_236 = e20)
% 30.89/8.08 |
% 30.89/8.08 | Equations (651) can reduce 416 to:
% 30.89/8.08 | (654) ~ (e21 = e20)
% 30.89/8.08 |
% 30.89/8.08 | Simplifying 654 yields:
% 30.89/8.08 | (401) ~ (e21 = e20)
% 30.89/8.08 |
% 30.89/8.08 | From (651) and (325) follows:
% 30.89/8.08 | (7121) op2(e20, e23) = all_0_135_135
% 30.89/8.08 |
% 30.89/8.08 | From (651) and (436) follows:
% 30.92/8.08 | (8112) op2(e23, e22) = e20
% 30.92/8.08 |
% 30.92/8.08 +-Applying beta-rule and splitting (324), into two cases.
% 30.92/8.08 |-Branch one:
% 30.92/8.08 | (656) all_0_236_236 = e20
% 30.92/8.08 |
% 30.92/8.08 | Equations (656) can reduce 660 to:
% 30.92/8.08 | (537) $false
% 30.92/8.08 |
% 30.92/8.08 |-The branch is then unsatisfiable
% 30.92/8.08 |-Branch two:
% 30.92/8.08 | (660) ~ (all_0_236_236 = e20)
% 30.92/8.08 | (661) all_0_240_240 = e20 | all_0_244_244 = e20
% 30.92/8.08 |
% 30.92/8.08 +-Applying beta-rule and splitting (661), into two cases.
% 30.92/8.08 |-Branch one:
% 30.92/8.08 | (662) all_0_240_240 = e20
% 30.92/8.08 |
% 30.92/8.08 | Combining equations (662,540) yields a new equation:
% 30.92/8.08 | (664) e21 = e20
% 30.92/8.08 |
% 30.92/8.08 | Equations (664) can reduce 401 to:
% 30.92/8.08 | (537) $false
% 30.92/8.08 |
% 30.92/8.08 |-The branch is then unsatisfiable
% 30.92/8.08 |-Branch two:
% 30.92/8.08 | (666) ~ (all_0_240_240 = e20)
% 30.92/8.08 | (667) all_0_244_244 = e20
% 30.92/8.08 |
% 30.92/8.08 | Combining equations (667,8044) yields a new equation:
% 30.92/8.08 | (8122) all_0_164_164 = e20
% 30.92/8.08 |
% 30.92/8.08 | Equations (667) can reduce 225 to:
% 30.92/8.08 | (660) ~ (all_0_236_236 = e20)
% 30.92/8.08 |
% 30.92/8.08 | Equations (667) can reduce 27 to:
% 30.92/8.08 | (266) ~ (all_0_242_242 = e20)
% 30.92/8.08 |
% 30.92/8.08 | Equations (667) can reduce 95 to:
% 30.92/8.08 | (671) ~ (e23 = e20)
% 30.92/8.08 |
% 30.92/8.08 | Simplifying 671 yields:
% 30.92/8.08 | (14) ~ (e23 = e20)
% 30.92/8.08 |
% 30.92/8.08 | Equations (667) can reduce 547 to:
% 30.92/8.08 | (654) ~ (e21 = e20)
% 30.92/8.08 |
% 30.92/8.08 | Simplifying 654 yields:
% 30.92/8.08 | (401) ~ (e21 = e20)
% 30.92/8.08 |
% 30.92/8.08 +-Applying beta-rule and splitting (191), into two cases.
% 30.92/8.08 |-Branch one:
% 30.92/8.08 | (645) all_0_236_236 = e22
% 30.92/8.08 |
% 30.92/8.08 | From (645) and (285) follows:
% 30.92/8.08 | (8130) op2(e22, e23) = all_0_138_138
% 30.92/8.08 |
% 30.92/8.08 | From (645) and (132) follows:
% 30.92/8.09 | (8131) op2(e22, e21) = all_0_137_137
% 30.92/8.09 |
% 30.92/8.09 | From (645) and (81) follows:
% 30.92/8.09 | (8132) op2(e23, e22) = all_0_139_139
% 30.92/8.09 |
% 30.92/8.09 +-Applying beta-rule and splitting (254), into two cases.
% 30.92/8.09 |-Branch one:
% 30.92/8.09 | (6322) all_0_242_242 = e22
% 30.92/8.09 |
% 30.92/8.09 | Equations (6322) can reduce 266 to:
% 30.92/8.09 | (294) ~ (e22 = e20)
% 30.92/8.09 |
% 30.92/8.09 | From (6322) and (97) follows:
% 30.92/8.09 | (8135) op2(e22, e21) = all_0_155_155
% 30.92/8.09 |
% 30.92/8.09 | From (6322) and (432) follows:
% 30.92/8.09 | (8136) op2(e21, e23) = e22
% 30.92/8.09 |
% 30.92/8.09 | Instantiating formula (340) with e23, e22, all_0_144_144, all_0_139_139 and discharging atoms op2(e23, e22) = all_0_139_139, op2(e23, e22) = all_0_144_144, yields:
% 30.92/8.09 | (8137) all_0_139_139 = all_0_144_144
% 30.92/8.09 |
% 30.92/8.09 | Instantiating formula (340) with e23, e22, e20, all_0_139_139 and discharging atoms op2(e23, e22) = all_0_139_139, op2(e23, e22) = e20, yields:
% 30.92/8.09 | (8138) all_0_139_139 = e20
% 30.92/8.09 |
% 30.92/8.09 | Instantiating formula (340) with e22, e23, e23, all_0_138_138 and discharging atoms op2(e22, e23) = all_0_138_138, op2(e22, e23) = e23, yields:
% 30.92/8.09 | (8139) all_0_138_138 = e23
% 30.92/8.09 |
% 30.92/8.09 | Instantiating formula (340) with e22, e21, all_0_137_137, e21 and discharging atoms op2(e22, e21) = all_0_137_137, op2(e22, e21) = e21, yields:
% 30.92/8.09 | (8140) all_0_137_137 = e21
% 30.92/8.09 |
% 30.92/8.09 | Instantiating formula (340) with e22, e21, all_0_155_155, all_0_137_137 and discharging atoms op2(e22, e21) = all_0_137_137, op2(e22, e21) = all_0_155_155, yields:
% 30.92/8.09 | (8141) all_0_137_137 = all_0_155_155
% 30.92/8.09 |
% 30.92/8.09 | Instantiating formula (340) with e21, e23, e22, all_0_159_159 and discharging atoms op2(e21, e23) = all_0_159_159, op2(e21, e23) = e22, yields:
% 30.92/8.09 | (7398) all_0_159_159 = e22
% 30.92/8.09 |
% 30.92/8.09 | Instantiating formula (340) with e20, e23, all_0_135_135, e20 and discharging atoms op2(e20, e23) = all_0_135_135, op2(e20, e23) = e20, yields:
% 30.92/8.09 | (7201) all_0_135_135 = e20
% 30.92/8.09 |
% 30.92/8.09 | Combining equations (8140,8141) yields a new equation:
% 30.92/8.09 | (8144) all_0_155_155 = e21
% 30.92/8.09 |
% 30.92/8.09 | Combining equations (8138,8137) yields a new equation:
% 30.92/8.09 | (6506) all_0_144_144 = e20
% 30.92/8.09 |
% 30.92/8.09 +-Applying beta-rule and splitting (69), into two cases.
% 30.92/8.09 |-Branch one:
% 30.92/8.09 | (6421) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)) | (all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20))
% 30.92/8.09 |
% 30.92/8.09 +-Applying beta-rule and splitting (6421), into two cases.
% 30.92/8.09 |-Branch one:
% 30.92/8.09 | (6422) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22))
% 30.92/8.09 |
% 30.92/8.09 +-Applying beta-rule and splitting (6422), into two cases.
% 30.92/8.09 |-Branch one:
% 30.92/8.09 | (6423) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23))
% 30.92/8.09 |
% 30.92/8.09 +-Applying beta-rule and splitting (6423), into two cases.
% 30.92/8.09 |-Branch one:
% 30.92/8.09 | (6424) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20))
% 30.92/8.09 |
% 30.92/8.09 +-Applying beta-rule and splitting (6424), into two cases.
% 30.92/8.09 |-Branch one:
% 30.92/8.09 | (6425) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21))
% 30.92/8.09 |
% 30.92/8.09 +-Applying beta-rule and splitting (6425), into two cases.
% 30.92/8.09 |-Branch one:
% 30.92/8.09 | (6426) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23))
% 30.92/8.09 |
% 30.92/8.09 +-Applying beta-rule and splitting (6426), into two cases.
% 30.92/8.09 |-Branch one:
% 30.92/8.09 | (6427) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20))
% 30.92/8.09 |
% 30.92/8.09 +-Applying beta-rule and splitting (6427), into two cases.
% 30.92/8.09 |-Branch one:
% 30.92/8.09 | (6428) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21))
% 30.92/8.09 |
% 30.92/8.09 +-Applying beta-rule and splitting (6428), into two cases.
% 30.92/8.09 |-Branch one:
% 30.92/8.09 | (6429) all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)
% 30.92/8.09 |
% 30.92/8.09 | Applying alpha-rule on (6429) yields:
% 30.92/8.09 | (6430) all_0_135_135 = e22
% 30.92/8.09 | (6431) ~ (all_0_134_134 = e23)
% 30.92/8.09 | (6432) ~ (all_0_136_136 = e22)
% 30.92/8.09 |
% 30.92/8.09 | Combining equations (7201,6430) yields a new equation:
% 30.92/8.09 | (658) e22 = e20
% 30.92/8.09 |
% 30.92/8.09 | Equations (658) can reduce 294 to:
% 30.92/8.09 | (537) $false
% 30.92/8.09 |
% 30.92/8.09 |-The branch is then unsatisfiable
% 30.92/8.09 |-Branch two:
% 30.92/8.09 | (6434) all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)
% 30.92/8.09 |
% 30.92/8.10 | Applying alpha-rule on (6434) yields:
% 30.92/8.10 | (6435) all_0_138_138 = e21
% 30.92/8.10 | (6436) ~ (all_0_137_137 = e23)
% 30.92/8.10 | (6437) ~ (all_0_139_139 = e21)
% 30.92/8.10 |
% 30.92/8.10 | Combining equations (8139,6435) yields a new equation:
% 30.92/8.10 | (597) e23 = e21
% 30.92/8.10 |
% 30.92/8.10 | Simplifying 597 yields:
% 30.92/8.10 | (590) e23 = e21
% 30.92/8.10 |
% 30.92/8.10 | Equations (590) can reduce 215 to:
% 30.92/8.10 | (537) $false
% 30.92/8.10 |
% 30.92/8.10 |-The branch is then unsatisfiable
% 30.92/8.10 |-Branch two:
% 30.92/8.10 | (6441) all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)
% 30.92/8.10 |
% 30.92/8.10 | Applying alpha-rule on (6441) yields:
% 30.92/8.10 | (6442) all_0_141_141 = e20
% 30.92/8.10 | (6443) ~ (all_0_140_140 = e23)
% 30.92/8.10 | (6444) ~ (all_0_142_142 = e20)
% 30.92/8.10 |
% 30.92/8.10 | Combining equations (555,6442) yields a new equation:
% 30.92/8.10 | (663) e21 = e20
% 30.92/8.10 |
% 30.92/8.10 | Simplifying 663 yields:
% 30.92/8.10 | (664) e21 = e20
% 30.92/8.10 |
% 30.92/8.10 | Equations (664) can reduce 401 to:
% 30.92/8.10 | (537) $false
% 30.92/8.10 |
% 30.92/8.10 |-The branch is then unsatisfiable
% 30.92/8.10 |-Branch two:
% 30.92/8.10 | (6447) all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)
% 30.92/8.10 |
% 30.92/8.10 | Applying alpha-rule on (6447) yields:
% 30.92/8.10 | (6448) all_0_144_144 = e23
% 30.92/8.10 | (6449) ~ (all_0_143_143 = e22)
% 30.92/8.10 | (6450) ~ (all_0_145_145 = e23)
% 30.92/8.10 |
% 30.92/8.10 | Combining equations (6506,6448) yields a new equation:
% 30.92/8.10 | (684) e23 = e20
% 30.92/8.10 |
% 30.92/8.10 | Equations (684) can reduce 14 to:
% 30.92/8.10 | (537) $false
% 30.92/8.10 |
% 30.92/8.10 |-The branch is then unsatisfiable
% 30.92/8.10 |-Branch two:
% 30.92/8.10 | (6452) all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)
% 30.92/8.10 |
% 30.92/8.10 | Applying alpha-rule on (6452) yields:
% 30.92/8.10 | (6453) all_0_149_149 = e21
% 30.92/8.10 | (6454) ~ (all_0_148_148 = e22)
% 30.92/8.10 | (6455) ~ (all_0_150_150 = e21)
% 30.92/8.10 |
% 30.92/8.10 | Combining equations (6499,6453) yields a new equation:
% 30.92/8.10 | (597) e23 = e21
% 30.92/8.10 |
% 30.92/8.10 | Simplifying 597 yields:
% 30.92/8.10 | (590) e23 = e21
% 30.92/8.10 |
% 30.92/8.10 | Equations (590) can reduce 215 to:
% 30.92/8.10 | (537) $false
% 30.92/8.10 |
% 30.92/8.10 |-The branch is then unsatisfiable
% 30.92/8.10 |-Branch two:
% 30.92/8.10 | (6458) all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)
% 30.92/8.10 |
% 30.92/8.10 | Applying alpha-rule on (6458) yields:
% 30.92/8.10 | (6459) all_0_152_152 = e20
% 30.92/8.10 | (6460) ~ (all_0_151_151 = e22)
% 30.92/8.10 | (6461) ~ (all_0_153_153 = e20)
% 30.92/8.10 |
% 30.92/8.10 | Combining equations (6416,6459) yields a new equation:
% 30.92/8.10 | (663) e21 = e20
% 30.92/8.10 |
% 30.92/8.10 | Simplifying 663 yields:
% 30.92/8.10 | (664) e21 = e20
% 30.92/8.10 |
% 30.92/8.10 | Equations (664) can reduce 401 to:
% 30.92/8.10 | (537) $false
% 30.92/8.10 |
% 30.92/8.10 |-The branch is then unsatisfiable
% 30.92/8.10 |-Branch two:
% 30.92/8.10 | (6465) all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)
% 30.92/8.10 |
% 30.92/8.10 | Applying alpha-rule on (6465) yields:
% 30.92/8.10 | (6466) all_0_155_155 = e23
% 30.92/8.10 | (6467) ~ (all_0_154_154 = e21)
% 30.92/8.10 | (6468) ~ (all_0_156_156 = e23)
% 30.92/8.10 |
% 30.92/8.10 | Combining equations (8144,6466) yields a new equation:
% 30.92/8.10 | (590) e23 = e21
% 30.92/8.10 |
% 30.92/8.10 | Equations (590) can reduce 215 to:
% 30.92/8.10 | (537) $false
% 30.92/8.10 |
% 30.92/8.10 |-The branch is then unsatisfiable
% 30.92/8.10 |-Branch two:
% 30.92/8.10 | (6471) all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)
% 30.92/8.10 |
% 30.92/8.10 | Applying alpha-rule on (6471) yields:
% 30.92/8.10 | (6472) all_0_158_158 = e22
% 30.92/8.10 | (6473) ~ (all_0_157_157 = e21)
% 30.92/8.10 | (6474) ~ (all_0_159_159 = e22)
% 30.92/8.10 |
% 30.92/8.11 | Equations (7398) can reduce 6474 to:
% 30.92/8.11 | (537) $false
% 30.92/8.11 |
% 30.92/8.11 |-The branch is then unsatisfiable
% 30.92/8.11 |-Branch two:
% 30.92/8.11 | (6478) all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20)
% 30.92/8.11 |
% 30.92/8.11 | Applying alpha-rule on (6478) yields:
% 30.92/8.11 | (6479) all_0_163_163 = e20
% 30.92/8.11 | (6480) ~ (all_0_162_162 = e21)
% 30.92/8.11 | (6481) ~ (all_0_164_164 = e20)
% 30.92/8.11 |
% 30.92/8.11 | Equations (8122) can reduce 6481 to:
% 30.92/8.11 | (537) $false
% 30.92/8.11 |
% 30.92/8.11 |-The branch is then unsatisfiable
% 30.92/8.11 |-Branch two:
% 30.92/8.11 | (6483) all_0_237_237 = e21 & ~ (all_0_236_236 = e20)
% 30.92/8.11 |
% 30.92/8.11 | Applying alpha-rule on (6483) yields:
% 30.92/8.11 | (523) all_0_237_237 = e21
% 30.92/8.11 | (660) ~ (all_0_236_236 = e20)
% 30.92/8.11 |
% 30.92/8.11 | Combining equations (589,523) yields a new equation:
% 30.92/8.11 | (597) e23 = e21
% 30.92/8.11 |
% 30.92/8.11 | Simplifying 597 yields:
% 30.92/8.11 | (590) e23 = e21
% 30.92/8.11 |
% 30.92/8.11 | Equations (590) can reduce 215 to:
% 30.92/8.11 | (537) $false
% 30.92/8.11 |
% 30.92/8.11 |-The branch is then unsatisfiable
% 30.92/8.11 |-Branch two:
% 30.92/8.11 | (6325) ~ (all_0_242_242 = e22)
% 30.92/8.11 | (6326) all_0_243_243 = e22 | all_0_244_244 = e22
% 30.92/8.11 |
% 30.92/8.11 +-Applying beta-rule and splitting (7949), into two cases.
% 30.92/8.11 |-Branch one:
% 30.92/8.11 | (6322) all_0_242_242 = e22
% 30.92/8.11 |
% 30.92/8.11 | Equations (6322) can reduce 6325 to:
% 30.92/8.11 | (537) $false
% 30.92/8.11 |
% 30.92/8.11 |-The branch is then unsatisfiable
% 30.92/8.11 |-Branch two:
% 30.92/8.11 | (6325) ~ (all_0_242_242 = e22)
% 30.92/8.11 | (596) all_0_242_242 = e23
% 30.92/8.11 |
% 30.92/8.11 | Equations (596) can reduce 600 to:
% 30.92/8.11 | (537) $false
% 30.92/8.11 |
% 30.92/8.11 |-The branch is then unsatisfiable
% 30.92/8.11 |-Branch two:
% 30.92/8.11 | (6308) ~ (all_0_236_236 = e22)
% 30.92/8.11 | (6309) all_0_240_240 = e22 | all_0_244_244 = e22
% 30.92/8.11 |
% 30.92/8.11 +-Applying beta-rule and splitting (580), into two cases.
% 30.92/8.11 |-Branch one:
% 30.92/8.11 | (645) all_0_236_236 = e22
% 30.92/8.11 |
% 30.92/8.11 | Equations (645) can reduce 6308 to:
% 30.92/8.11 | (537) $false
% 30.92/8.11 |
% 30.92/8.11 |-The branch is then unsatisfiable
% 30.92/8.11 |-Branch two:
% 30.92/8.11 | (6308) ~ (all_0_236_236 = e22)
% 30.92/8.11 | (656) all_0_236_236 = e20
% 30.92/8.11 |
% 30.92/8.11 | Equations (656) can reduce 660 to:
% 30.92/8.11 | (537) $false
% 30.92/8.11 |
% 30.92/8.11 |-The branch is then unsatisfiable
% 30.92/8.11 |-Branch two:
% 30.92/8.11 | (608) ~ (all_0_238_238 = e23)
% 30.92/8.11 | (642) all_0_239_239 = e23 | all_0_241_241 = e23
% 30.92/8.11 |
% 30.92/8.11 +-Applying beta-rule and splitting (642), into two cases.
% 30.92/8.11 |-Branch one:
% 30.92/8.11 | (692) all_0_239_239 = e23
% 30.92/8.11 |
% 30.92/8.11 | Combining equations (6372,692) yields a new equation:
% 30.92/8.11 | (639) e23 = e22
% 30.92/8.11 |
% 30.92/8.11 | Equations (639) can reduce 449 to:
% 30.92/8.11 | (537) $false
% 30.92/8.11 |
% 30.92/8.11 |-The branch is then unsatisfiable
% 30.92/8.11 |-Branch two:
% 30.92/8.11 | (6283) ~ (all_0_239_239 = e23)
% 30.92/8.11 | (682) all_0_241_241 = e23
% 30.92/8.11 |
% 30.92/8.11 | Combining equations (682,681) yields a new equation:
% 30.92/8.11 | (683) e23 = e20
% 30.92/8.11 |
% 30.92/8.11 | Simplifying 683 yields:
% 30.92/8.11 | (684) e23 = e20
% 30.92/8.11 |
% 30.92/8.11 | Equations (684) can reduce 14 to:
% 30.92/8.11 | (537) $false
% 30.92/8.11 |
% 30.92/8.11 |-The branch is then unsatisfiable
% 30.92/8.11 |-Branch two:
% 30.92/8.11 | (6318) ~ (all_0_239_239 = e22)
% 30.92/8.11 | (6375) all_0_239_239 = e23 | all_0_239_239 = e20
% 30.92/8.11 |
% 30.92/8.11 +-Applying beta-rule and splitting (94), into two cases.
% 30.92/8.11 |-Branch one:
% 30.92/8.11 | (610) all_0_238_238 = e22
% 30.92/8.11 |
% 30.92/8.11 | Equations (610) can reduce 208 to:
% 30.92/8.11 | (294) ~ (e22 = e20)
% 30.92/8.11 |
% 30.92/8.11 | From (610) and (70) follows:
% 30.92/8.11 | (8244) op2(e22, e23) = all_0_143_143
% 30.92/8.11 |
% 30.92/8.11 | From (610) and (133) follows:
% 30.92/8.11 | (616) op2(e22, e22) = all_0_144_144
% 30.92/8.11 |
% 30.92/8.11 | From (610) and (235) follows:
% 30.92/8.11 | (618) op2(e22, e22) = all_0_145_145
% 30.92/8.11 |
% 30.92/8.11 | From (610) and (171) follows:
% 30.92/8.11 | (8247) op2(e22, e23) = e22
% 30.92/8.11 |
% 30.92/8.11 +-Applying beta-rule and splitting (6375), into two cases.
% 30.92/8.11 |-Branch one:
% 30.92/8.11 | (692) all_0_239_239 = e23
% 30.92/8.11 |
% 30.92/8.11 | Equations (692) can reduce 415 to:
% 30.92/8.11 | (606) ~ (all_0_235_235 = e23)
% 30.92/8.11 |
% 30.92/8.11 | Equations (692) can reduce 32 to:
% 30.92/8.11 | (6698) ~ (all_0_243_243 = e23)
% 30.92/8.11 |
% 30.92/8.11 | Simplifying 6698 yields:
% 30.92/8.11 | (688) ~ (all_0_243_243 = e23)
% 30.92/8.11 |
% 30.92/8.11 | Equations (692) can reduce 18 to:
% 30.92/8.11 | (215) ~ (e23 = e21)
% 30.92/8.11 |
% 30.92/8.11 | From (692) and (320) follows:
% 30.92/8.11 | (8253) op2(all_0_147_147, e23) = all_0_45_45
% 30.92/8.11 |
% 30.92/8.11 | From (692) and (59) follows:
% 30.92/8.11 | (8254) op2(e23, all_0_147_147) = all_0_39_39
% 30.92/8.11 |
% 30.92/8.11 | From (692) and (292) follows:
% 30.92/8.11 | (7668) op2(e23, e22) = all_0_146_146
% 30.92/8.11 |
% 30.92/8.11 | From (692) and (130) follows:
% 30.92/8.11 | (8256) op2(e22, e23) = all_0_147_147
% 30.92/8.11 |
% 30.92/8.11 | From (692) and (256) follows:
% 30.92/8.11 | (7669) op2(e22, e22) = e23
% 30.92/8.11 |
% 30.92/8.11 +-Applying beta-rule and splitting (390), into two cases.
% 30.92/8.11 |-Branch one:
% 30.92/8.11 | (596) all_0_242_242 = e23
% 30.92/8.11 |
% 30.92/8.11 | Equations (596) can reduce 392 to:
% 30.92/8.11 | (6698) ~ (all_0_243_243 = e23)
% 30.92/8.11 |
% 30.92/8.11 | Simplifying 6698 yields:
% 30.92/8.11 | (688) ~ (all_0_243_243 = e23)
% 30.92/8.11 |
% 30.92/8.11 | Equations (596) can reduce 27 to:
% 30.92/8.12 | (7125) ~ (all_0_244_244 = e23)
% 30.92/8.12 |
% 30.92/8.12 | Simplifying 7125 yields:
% 30.92/8.12 | (95) ~ (all_0_244_244 = e23)
% 30.92/8.12 |
% 30.92/8.12 | Equations (596) can reduce 7898 to:
% 30.92/8.12 | (215) ~ (e23 = e21)
% 30.92/8.12 |
% 30.92/8.12 | From (596) and (97) follows:
% 30.92/8.12 | (8264) op2(e23, e21) = all_0_155_155
% 30.92/8.12 |
% 30.92/8.12 | Instantiating formula (340) with e23, e22, all_0_146_146, all_0_235_235 and discharging atoms op2(e23, e22) = all_0_146_146, op2(e23, e22) = all_0_235_235, yields:
% 30.92/8.12 | (8265) all_0_146_146 = all_0_235_235
% 30.92/8.12 |
% 30.92/8.12 | Instantiating formula (340) with e23, e21, all_0_155_155, all_0_236_236 and discharging atoms op2(e23, e21) = all_0_155_155, op2(e23, e21) = all_0_236_236, yields:
% 30.92/8.12 | (8266) all_0_155_155 = all_0_236_236
% 30.92/8.12 |
% 30.92/8.12 | Instantiating formula (340) with e22, e23, all_0_147_147, all_0_143_143 and discharging atoms op2(e22, e23) = all_0_143_143, op2(e22, e23) = all_0_147_147, yields:
% 30.92/8.12 | (8267) all_0_143_143 = all_0_147_147
% 30.92/8.12 |
% 30.92/8.12 | Instantiating formula (340) with e22, e23, e22, all_0_143_143 and discharging atoms op2(e22, e23) = all_0_143_143, op2(e22, e23) = e22, yields:
% 30.92/8.12 | (7066) all_0_143_143 = e22
% 30.92/8.12 |
% 30.92/8.12 | Instantiating formula (340) with e22, e22, all_0_145_145, all_0_144_144 and discharging atoms op2(e22, e22) = all_0_144_144, op2(e22, e22) = all_0_145_145, yields:
% 30.92/8.12 | (623) all_0_144_144 = all_0_145_145
% 30.92/8.12 |
% 30.92/8.12 | Instantiating formula (340) with e22, e22, e23, all_0_144_144 and discharging atoms op2(e22, e22) = all_0_144_144, op2(e22, e22) = e23, yields:
% 30.92/8.12 | (6448) all_0_144_144 = e23
% 30.92/8.12 |
% 30.92/8.12 | Combining equations (7066,8267) yields a new equation:
% 30.92/8.12 | (6762) all_0_147_147 = e22
% 30.92/8.12 |
% 30.92/8.12 | Combining equations (623,6448) yields a new equation:
% 30.92/8.12 | (7067) all_0_145_145 = e23
% 30.92/8.12 |
% 30.92/8.12 | Simplifying 7067 yields:
% 30.92/8.12 | (6394) all_0_145_145 = e23
% 30.92/8.12 |
% 30.92/8.12 | From (6762)(6762) and (179) follows:
% 30.92/8.12 | (8274) op2(e22, e22) = all_0_47_47
% 30.92/8.12 |
% 30.92/8.12 | From (6762) and (8253) follows:
% 30.92/8.12 | (8275) op2(e22, e23) = all_0_45_45
% 30.92/8.12 |
% 30.92/8.12 | From (6762) and (459) follows:
% 30.92/8.12 | (8276) op2(e22, e22) = all_0_49_49
% 30.92/8.12 |
% 30.92/8.12 | From (6762) and (8254) follows:
% 30.92/8.12 | (8277) op2(e23, e22) = all_0_39_39
% 30.92/8.12 |
% 30.92/8.12 | From (8265) and (7668) follows:
% 30.92/8.12 | (436) op2(e23, e22) = all_0_235_235
% 30.92/8.12 |
% 30.92/8.12 | From (6762) and (480) follows:
% 30.92/8.12 | (8279) op2(e22, e22) = all_0_94_94
% 30.92/8.12 |
% 30.92/8.12 | From (6762) and (8256) follows:
% 30.92/8.12 | (8247) op2(e22, e23) = e22
% 30.92/8.12 |
% 30.92/8.12 | From (6394) and (618) follows:
% 30.92/8.12 | (7669) op2(e22, e22) = e23
% 30.92/8.12 |
% 30.92/8.12 | Instantiating formula (340) with e23, e22, all_0_39_39, all_0_235_235 and discharging atoms op2(e23, e22) = all_0_39_39, op2(e23, e22) = all_0_235_235, yields:
% 30.92/8.12 | (8282) all_0_39_39 = all_0_235_235
% 30.92/8.12 |
% 30.92/8.12 | Instantiating formula (340) with e22, e23, all_0_45_45, e22 and discharging atoms op2(e22, e23) = all_0_45_45, op2(e22, e23) = e22, yields:
% 30.92/8.12 | (8283) all_0_45_45 = e22
% 30.92/8.12 |
% 30.92/8.12 | Instantiating formula (340) with e22, e22, all_0_47_47, e23 and discharging atoms op2(e22, e22) = all_0_47_47, op2(e22, e22) = e23, yields:
% 30.92/8.12 | (8284) all_0_47_47 = e23
% 30.92/8.12 |
% 30.92/8.12 | Instantiating formula (340) with e22, e22, all_0_49_49, all_0_47_47 and discharging atoms op2(e22, e22) = all_0_47_47, op2(e22, e22) = all_0_49_49, yields:
% 30.92/8.12 | (8285) all_0_47_47 = all_0_49_49
% 30.92/8.12 |
% 30.92/8.12 | Instantiating formula (340) with e22, e22, all_0_94_94, all_0_47_47 and discharging atoms op2(e22, e22) = all_0_47_47, op2(e22, e22) = all_0_94_94, yields:
% 30.92/8.12 | (8286) all_0_47_47 = all_0_94_94
% 30.92/8.12 |
% 30.92/8.12 | Combining equations (8286,8285) yields a new equation:
% 30.92/8.12 | (8287) all_0_49_49 = all_0_94_94
% 30.92/8.12 |
% 30.92/8.13 | Combining equations (8284,8285) yields a new equation:
% 30.92/8.13 | (8288) all_0_49_49 = e23
% 30.92/8.13 |
% 30.92/8.13 | Combining equations (8288,8287) yields a new equation:
% 30.92/8.13 | (8289) all_0_94_94 = e23
% 30.92/8.13 |
% 30.92/8.13 | From (8289) and (297) follows:
% 30.92/8.13 | (8290) op2(e23, e22) = all_0_33_33
% 30.92/8.13 |
% 30.92/8.13 | From (8282) and (8277) follows:
% 30.92/8.13 | (436) op2(e23, e22) = all_0_235_235
% 30.92/8.13 |
% 30.92/8.13 | From (8289) and (232) follows:
% 30.92/8.13 | (8292) op2(e22, e23) = all_0_51_51
% 30.92/8.13 |
% 30.92/8.13 | From (8283) and (8275) follows:
% 30.92/8.13 | (8247) op2(e22, e23) = e22
% 30.92/8.13 |
% 30.92/8.13 | Instantiating formula (340) with e23, e22, all_0_33_33, all_0_235_235 and discharging atoms op2(e23, e22) = all_0_33_33, op2(e23, e22) = all_0_235_235, yields:
% 30.92/8.13 | (8294) all_0_33_33 = all_0_235_235
% 30.92/8.13 |
% 30.92/8.13 | Instantiating formula (340) with e22, e23, all_0_51_51, e22 and discharging atoms op2(e22, e23) = all_0_51_51, op2(e22, e23) = e22, yields:
% 30.92/8.13 | (8295) all_0_51_51 = e22
% 30.92/8.13 |
% 30.92/8.13 | From (8294) and (8290) follows:
% 30.92/8.13 | (436) op2(e23, e22) = all_0_235_235
% 30.92/8.13 |
% 30.92/8.13 | From (8295) and (8292) follows:
% 30.92/8.13 | (8247) op2(e22, e23) = e22
% 30.92/8.13 |
% 30.92/8.13 +-Applying beta-rule and splitting (332), into two cases.
% 30.92/8.13 |-Branch one:
% 30.92/8.13 | (647) all_0_235_235 = e22
% 30.92/8.13 |
% 30.92/8.13 | Equations (647) can reduce 212 to:
% 30.92/8.13 | (6663) ~ (all_0_243_243 = e22)
% 30.97/8.13 |
% 30.97/8.13 | Simplifying 6663 yields:
% 30.97/8.13 | (6287) ~ (all_0_243_243 = e22)
% 30.97/8.13 |
% 30.97/8.13 | Equations (647) can reduce 606 to:
% 30.97/8.13 | (613) ~ (e23 = e22)
% 30.97/8.13 |
% 30.97/8.13 | Simplifying 613 yields:
% 30.97/8.13 | (449) ~ (e23 = e22)
% 30.97/8.13 |
% 30.97/8.13 | From (647) and (313) follows:
% 30.97/8.13 | (6320) op2(e23, e22) = all_0_136_136
% 30.97/8.13 |
% 30.97/8.13 | From (647) and (436) follows:
% 30.97/8.13 | (6321) op2(e23, e22) = e22
% 30.97/8.13 |
% 30.97/8.13 +-Applying beta-rule and splitting (254), into two cases.
% 30.97/8.13 |-Branch one:
% 30.97/8.13 | (6322) all_0_242_242 = e22
% 30.97/8.13 |
% 30.97/8.13 | Combining equations (6322,596) yields a new equation:
% 30.97/8.13 | (639) e23 = e22
% 30.97/8.13 |
% 30.97/8.13 | Equations (639) can reduce 449 to:
% 30.97/8.13 | (537) $false
% 30.97/8.13 |
% 30.97/8.13 |-The branch is then unsatisfiable
% 30.97/8.13 |-Branch two:
% 30.97/8.13 | (6325) ~ (all_0_242_242 = e22)
% 30.97/8.13 | (6326) all_0_243_243 = e22 | all_0_244_244 = e22
% 30.97/8.13 |
% 30.97/8.13 +-Applying beta-rule and splitting (394), into two cases.
% 30.97/8.13 |-Branch one:
% 30.97/8.13 | (689) all_0_243_243 = e22
% 30.97/8.13 |
% 30.97/8.13 | Equations (689) can reduce 6287 to:
% 30.97/8.13 | (537) $false
% 30.97/8.13 |
% 30.97/8.13 |-The branch is then unsatisfiable
% 30.97/8.13 |-Branch two:
% 30.97/8.13 | (6287) ~ (all_0_243_243 = e22)
% 30.97/8.13 | (6288) all_0_243_243 = e23 | all_0_243_243 = e20
% 30.97/8.13 |
% 30.97/8.13 +-Applying beta-rule and splitting (365), into two cases.
% 30.97/8.13 |-Branch one:
% 30.97/8.13 | (651) all_0_235_235 = e20
% 30.97/8.13 |
% 30.97/8.13 | Combining equations (647,651) yields a new equation:
% 30.97/8.13 | (657) e22 = e20
% 30.97/8.13 |
% 30.97/8.13 | Simplifying 657 yields:
% 30.97/8.13 | (658) e22 = e20
% 30.97/8.13 |
% 30.97/8.13 | Equations (658) can reduce 294 to:
% 30.97/8.13 | (537) $false
% 30.97/8.13 |
% 30.97/8.13 |-The branch is then unsatisfiable
% 30.97/8.13 |-Branch two:
% 30.97/8.13 | (6297) ~ (all_0_235_235 = e20)
% 30.97/8.13 | (6497) all_0_239_239 = e20 | all_0_243_243 = e20
% 30.97/8.13 |
% 30.97/8.13 | Equations (647) can reduce 6297 to:
% 30.97/8.13 | (294) ~ (e22 = e20)
% 30.97/8.13 |
% 30.97/8.13 +-Applying beta-rule and splitting (157), into two cases.
% 30.97/8.13 |-Branch one:
% 30.97/8.13 | (651) all_0_235_235 = e20
% 30.97/8.13 |
% 30.97/8.13 | Combining equations (647,651) yields a new equation:
% 30.97/8.13 | (657) e22 = e20
% 30.97/8.13 |
% 30.97/8.13 | Simplifying 657 yields:
% 30.97/8.13 | (658) e22 = e20
% 30.97/8.13 |
% 30.97/8.13 | Equations (658) can reduce 294 to:
% 30.97/8.13 | (537) $false
% 30.97/8.13 |
% 30.97/8.13 |-The branch is then unsatisfiable
% 30.97/8.13 |-Branch two:
% 30.97/8.13 | (6297) ~ (all_0_235_235 = e20)
% 30.97/8.13 | (6298) all_0_236_236 = e20 | all_0_237_237 = e20
% 30.97/8.13 |
% 30.97/8.13 | Equations (647) can reduce 6297 to:
% 30.97/8.13 | (294) ~ (e22 = e20)
% 30.97/8.13 |
% 30.97/8.13 +-Applying beta-rule and splitting (6326), into two cases.
% 30.97/8.13 |-Branch one:
% 30.97/8.13 | (689) all_0_243_243 = e22
% 30.97/8.13 |
% 30.97/8.13 | Equations (689) can reduce 6287 to:
% 30.97/8.13 | (537) $false
% 30.97/8.13 |
% 30.97/8.13 |-The branch is then unsatisfiable
% 30.97/8.13 |-Branch two:
% 30.97/8.13 | (6287) ~ (all_0_243_243 = e22)
% 30.97/8.13 | (6339) all_0_244_244 = e22
% 30.97/8.13 |
% 30.97/8.13 | Combining equations (6339,8042) yields a new equation:
% 30.97/8.14 | (8332) all_0_163_163 = e22
% 30.97/8.14 |
% 30.97/8.14 | Equations (6339) can reduce 225 to:
% 30.97/8.14 | (6308) ~ (all_0_236_236 = e22)
% 30.97/8.14 |
% 30.97/8.14 | Equations (6339) can reduce 95 to:
% 30.97/8.14 | (613) ~ (e23 = e22)
% 30.97/8.14 |
% 30.97/8.14 | Simplifying 613 yields:
% 30.97/8.14 | (449) ~ (e23 = e22)
% 30.97/8.14 |
% 30.97/8.14 +-Applying beta-rule and splitting (188), into two cases.
% 30.97/8.14 |-Branch one:
% 30.97/8.14 | (6292) all_0_243_243 = e20
% 30.97/8.14 |
% 30.97/8.14 | Combining equations (6292,556) yields a new equation:
% 30.97/8.14 | (6377) all_0_149_149 = e20
% 30.97/8.14 |
% 30.97/8.14 | Equations (6292) can reduce 688 to:
% 30.97/8.14 | (671) ~ (e23 = e20)
% 30.97/8.14 |
% 30.97/8.14 | Simplifying 671 yields:
% 30.97/8.14 | (14) ~ (e23 = e20)
% 30.97/8.14 |
% 30.97/8.14 | From (6292) and (258) follows:
% 30.97/8.14 | (6382) op2(e20, e21) = all_0_158_158
% 30.97/8.14 |
% 30.97/8.14 +-Applying beta-rule and splitting (324), into two cases.
% 30.97/8.14 |-Branch one:
% 30.97/8.14 | (656) all_0_236_236 = e20
% 30.97/8.14 |
% 30.97/8.14 | Combining equations (656,8266) yields a new equation:
% 30.97/8.14 | (7375) all_0_155_155 = e20
% 30.97/8.14 |
% 30.97/8.14 | Equations (656) can reduce 425 to:
% 30.97/8.14 | (671) ~ (e23 = e20)
% 30.97/8.14 |
% 30.97/8.14 | Simplifying 671 yields:
% 30.97/8.14 | (14) ~ (e23 = e20)
% 30.97/8.14 |
% 30.97/8.14 | Equations (656) can reduce 6308 to:
% 30.97/8.14 | (652) ~ (e22 = e20)
% 30.97/8.14 |
% 30.97/8.14 | Simplifying 652 yields:
% 30.97/8.14 | (294) ~ (e22 = e20)
% 30.97/8.14 |
% 30.97/8.14 | Equations (656) can reduce 541 to:
% 30.97/8.14 | (654) ~ (e21 = e20)
% 30.97/8.14 |
% 30.97/8.14 | Simplifying 654 yields:
% 30.97/8.14 | (401) ~ (e21 = e20)
% 30.97/8.14 |
% 30.97/8.14 | From (656) and (285) follows:
% 30.97/8.14 | (6350) op2(e20, e23) = all_0_138_138
% 30.97/8.14 |
% 30.97/8.14 | From (656) and (132) follows:
% 30.97/8.14 | (6351) op2(e20, e21) = all_0_137_137
% 30.97/8.14 |
% 30.97/8.14 | Instantiating formula (340) with e23, e22, e22, all_0_136_136 and discharging atoms op2(e23, e22) = all_0_136_136, op2(e23, e22) = e22, yields:
% 30.97/8.14 | (6354) all_0_136_136 = e22
% 30.97/8.14 |
% 30.97/8.14 | Instantiating formula (340) with e20, e23, all_0_138_138, e20 and discharging atoms op2(e20, e23) = all_0_138_138, op2(e20, e23) = e20, yields:
% 30.97/8.14 | (6357) all_0_138_138 = e20
% 30.97/8.14 |
% 30.97/8.14 | Instantiating formula (340) with e20, e21, all_0_137_137, e23 and discharging atoms op2(e20, e21) = all_0_137_137, op2(e20, e21) = e23, yields:
% 30.97/8.14 | (6358) all_0_137_137 = e23
% 30.97/8.14 |
% 30.97/8.14 | Instantiating formula (340) with e20, e21, all_0_158_158, all_0_137_137 and discharging atoms op2(e20, e21) = all_0_137_137, op2(e20, e21) = all_0_158_158, yields:
% 30.97/8.14 | (8354) all_0_137_137 = all_0_158_158
% 30.97/8.14 |
% 30.97/8.14 | Combining equations (8354,6358) yields a new equation:
% 30.97/8.14 | (7761) all_0_158_158 = e23
% 30.97/8.14 |
% 30.97/8.14 | Simplifying 7761 yields:
% 30.97/8.14 | (6418) all_0_158_158 = e23
% 30.97/8.14 |
% 30.97/8.14 +-Applying beta-rule and splitting (69), into two cases.
% 30.97/8.14 |-Branch one:
% 30.97/8.14 | (6421) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)) | (all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20))
% 30.97/8.14 |
% 30.97/8.14 +-Applying beta-rule and splitting (6421), into two cases.
% 30.97/8.14 |-Branch one:
% 30.97/8.14 | (6422) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22))
% 30.97/8.14 |
% 30.97/8.14 +-Applying beta-rule and splitting (6422), into two cases.
% 30.97/8.14 |-Branch one:
% 30.97/8.14 | (6423) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23))
% 30.97/8.14 |
% 30.97/8.14 +-Applying beta-rule and splitting (6423), into two cases.
% 30.97/8.14 |-Branch one:
% 30.97/8.14 | (6424) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20))
% 30.97/8.14 |
% 30.97/8.14 +-Applying beta-rule and splitting (6424), into two cases.
% 30.97/8.14 |-Branch one:
% 30.97/8.14 | (6425) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21))
% 30.97/8.14 |
% 30.97/8.14 +-Applying beta-rule and splitting (6425), into two cases.
% 30.97/8.14 |-Branch one:
% 30.97/8.14 | (6426) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23))
% 30.97/8.14 |
% 30.97/8.14 +-Applying beta-rule and splitting (6426), into two cases.
% 30.97/8.14 |-Branch one:
% 30.97/8.14 | (6427) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20))
% 30.97/8.14 |
% 30.97/8.14 +-Applying beta-rule and splitting (6427), into two cases.
% 30.97/8.14 |-Branch one:
% 30.97/8.14 | (6428) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21))
% 30.97/8.14 |
% 30.97/8.14 +-Applying beta-rule and splitting (6428), into two cases.
% 30.97/8.14 |-Branch one:
% 30.98/8.14 | (6429) all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)
% 30.98/8.14 |
% 30.98/8.14 | Applying alpha-rule on (6429) yields:
% 30.98/8.14 | (6430) all_0_135_135 = e22
% 30.98/8.14 | (6431) ~ (all_0_134_134 = e23)
% 30.98/8.14 | (6432) ~ (all_0_136_136 = e22)
% 30.98/8.14 |
% 30.98/8.14 | Equations (6354) can reduce 6432 to:
% 30.98/8.14 | (537) $false
% 30.98/8.14 |
% 30.98/8.14 |-The branch is then unsatisfiable
% 30.98/8.14 |-Branch two:
% 30.98/8.14 | (6434) all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)
% 30.98/8.14 |
% 30.98/8.14 | Applying alpha-rule on (6434) yields:
% 30.98/8.14 | (6435) all_0_138_138 = e21
% 30.98/8.15 | (6436) ~ (all_0_137_137 = e23)
% 30.98/8.15 | (6437) ~ (all_0_139_139 = e21)
% 30.98/8.15 |
% 30.98/8.15 | Combining equations (6435,6357) yields a new equation:
% 30.98/8.15 | (663) e21 = e20
% 30.98/8.15 |
% 30.98/8.15 | Simplifying 663 yields:
% 30.98/8.15 | (664) e21 = e20
% 30.98/8.15 |
% 30.98/8.15 | Equations (664) can reduce 401 to:
% 30.98/8.15 | (537) $false
% 30.98/8.15 |
% 30.98/8.15 |-The branch is then unsatisfiable
% 30.98/8.15 |-Branch two:
% 30.98/8.15 | (6441) all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)
% 30.98/8.15 |
% 30.98/8.15 | Applying alpha-rule on (6441) yields:
% 30.98/8.15 | (6442) all_0_141_141 = e20
% 30.98/8.15 | (6443) ~ (all_0_140_140 = e23)
% 30.98/8.15 | (6444) ~ (all_0_142_142 = e20)
% 30.98/8.15 |
% 30.98/8.15 | Combining equations (6442,555) yields a new equation:
% 30.98/8.15 | (664) e21 = e20
% 30.98/8.15 |
% 30.98/8.15 | Equations (664) can reduce 401 to:
% 30.98/8.15 | (537) $false
% 30.98/8.15 |
% 30.98/8.15 |-The branch is then unsatisfiable
% 30.98/8.15 |-Branch two:
% 30.98/8.15 | (6447) all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)
% 30.98/8.15 |
% 30.98/8.15 | Applying alpha-rule on (6447) yields:
% 30.98/8.15 | (6448) all_0_144_144 = e23
% 30.98/8.15 | (6449) ~ (all_0_143_143 = e22)
% 30.98/8.15 | (6450) ~ (all_0_145_145 = e23)
% 30.98/8.15 |
% 30.98/8.15 | Equations (6394) can reduce 6450 to:
% 30.98/8.15 | (537) $false
% 30.98/8.15 |
% 30.98/8.15 |-The branch is then unsatisfiable
% 30.98/8.15 |-Branch two:
% 30.98/8.15 | (6452) all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)
% 30.98/8.15 |
% 30.98/8.15 | Applying alpha-rule on (6452) yields:
% 30.98/8.15 | (6453) all_0_149_149 = e21
% 30.98/8.15 | (6454) ~ (all_0_148_148 = e22)
% 30.98/8.15 | (6455) ~ (all_0_150_150 = e21)
% 30.98/8.15 |
% 30.98/8.15 | Combining equations (6377,6453) yields a new equation:
% 30.98/8.15 | (664) e21 = e20
% 30.98/8.15 |
% 30.98/8.15 | Equations (664) can reduce 401 to:
% 30.98/8.15 | (537) $false
% 30.98/8.15 |
% 30.98/8.15 |-The branch is then unsatisfiable
% 30.98/8.15 |-Branch two:
% 30.98/8.15 | (6458) all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)
% 30.98/8.15 |
% 30.98/8.15 | Applying alpha-rule on (6458) yields:
% 30.98/8.15 | (6459) all_0_152_152 = e20
% 30.98/8.15 | (6460) ~ (all_0_151_151 = e22)
% 30.98/8.15 | (6461) ~ (all_0_153_153 = e20)
% 30.98/8.15 |
% 30.98/8.15 | Combining equations (6416,6459) yields a new equation:
% 30.98/8.15 | (663) e21 = e20
% 30.98/8.15 |
% 30.98/8.15 | Simplifying 663 yields:
% 30.98/8.15 | (664) e21 = e20
% 30.98/8.15 |
% 30.98/8.15 | Equations (664) can reduce 401 to:
% 30.98/8.15 | (537) $false
% 30.98/8.15 |
% 30.98/8.15 |-The branch is then unsatisfiable
% 30.98/8.15 |-Branch two:
% 30.98/8.15 | (6465) all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)
% 30.98/8.15 |
% 30.98/8.15 | Applying alpha-rule on (6465) yields:
% 30.98/8.15 | (6466) all_0_155_155 = e23
% 30.98/8.15 | (6467) ~ (all_0_154_154 = e21)
% 30.98/8.15 | (6468) ~ (all_0_156_156 = e23)
% 30.98/8.15 |
% 30.98/8.15 | Combining equations (7375,6466) yields a new equation:
% 30.98/8.15 | (684) e23 = e20
% 30.98/8.15 |
% 30.98/8.15 | Equations (684) can reduce 14 to:
% 30.98/8.15 | (537) $false
% 30.98/8.15 |
% 30.98/8.15 |-The branch is then unsatisfiable
% 30.98/8.15 |-Branch two:
% 30.98/8.15 | (6471) all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)
% 30.98/8.15 |
% 30.98/8.15 | Applying alpha-rule on (6471) yields:
% 30.98/8.15 | (6472) all_0_158_158 = e22
% 30.98/8.15 | (6473) ~ (all_0_157_157 = e21)
% 30.98/8.15 | (6474) ~ (all_0_159_159 = e22)
% 30.98/8.15 |
% 30.98/8.15 | Combining equations (6418,6472) yields a new equation:
% 30.98/8.15 | (638) e23 = e22
% 30.98/8.15 |
% 30.98/8.15 | Simplifying 638 yields:
% 30.98/8.15 | (639) e23 = e22
% 30.98/8.15 |
% 30.98/8.15 | Equations (639) can reduce 449 to:
% 30.98/8.15 | (537) $false
% 30.98/8.15 |
% 30.98/8.15 |-The branch is then unsatisfiable
% 30.98/8.16 |-Branch two:
% 30.98/8.16 | (6478) all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20)
% 30.98/8.16 |
% 30.98/8.16 | Applying alpha-rule on (6478) yields:
% 30.98/8.16 | (6479) all_0_163_163 = e20
% 30.98/8.16 | (6480) ~ (all_0_162_162 = e21)
% 30.98/8.16 | (6481) ~ (all_0_164_164 = e20)
% 30.98/8.16 |
% 30.98/8.16 | Combining equations (6479,8332) yields a new equation:
% 30.98/8.16 | (658) e22 = e20
% 30.98/8.16 |
% 30.98/8.16 | Equations (658) can reduce 294 to:
% 30.98/8.16 | (537) $false
% 30.98/8.16 |
% 30.98/8.16 |-The branch is then unsatisfiable
% 30.98/8.16 |-Branch two:
% 30.98/8.16 | (6483) all_0_237_237 = e21 & ~ (all_0_236_236 = e20)
% 30.98/8.16 |
% 30.98/8.16 | Applying alpha-rule on (6483) yields:
% 30.98/8.16 | (523) all_0_237_237 = e21
% 30.98/8.16 | (660) ~ (all_0_236_236 = e20)
% 30.98/8.16 |
% 30.98/8.16 | Combining equations (523,589) yields a new equation:
% 30.98/8.16 | (590) e23 = e21
% 30.98/8.16 |
% 30.98/8.16 | Equations (590) can reduce 215 to:
% 30.98/8.16 | (537) $false
% 30.98/8.16 |
% 30.98/8.16 |-The branch is then unsatisfiable
% 30.98/8.16 |-Branch two:
% 30.98/8.16 | (660) ~ (all_0_236_236 = e20)
% 30.98/8.16 | (661) all_0_240_240 = e20 | all_0_244_244 = e20
% 30.98/8.16 |
% 30.98/8.16 +-Applying beta-rule and splitting (6298), into two cases.
% 30.98/8.16 |-Branch one:
% 30.98/8.16 | (656) all_0_236_236 = e20
% 30.98/8.16 |
% 30.98/8.16 | Equations (656) can reduce 660 to:
% 30.98/8.16 | (537) $false
% 30.98/8.16 |
% 30.98/8.16 |-The branch is then unsatisfiable
% 30.98/8.16 |-Branch two:
% 30.98/8.16 | (660) ~ (all_0_236_236 = e20)
% 30.98/8.16 | (675) all_0_237_237 = e20
% 30.98/8.16 |
% 30.98/8.16 | Combining equations (675,589) yields a new equation:
% 30.98/8.16 | (684) e23 = e20
% 30.98/8.16 |
% 30.98/8.16 | Equations (684) can reduce 14 to:
% 30.98/8.16 | (537) $false
% 30.98/8.16 |
% 30.98/8.16 |-The branch is then unsatisfiable
% 30.98/8.16 |-Branch two:
% 30.98/8.16 | (668) ~ (all_0_243_243 = e20)
% 30.98/8.16 | (6491) all_0_244_244 = e20 | all_0_245_245 = e20
% 30.98/8.16 |
% 30.98/8.16 +-Applying beta-rule and splitting (6491), into two cases.
% 30.98/8.16 |-Branch one:
% 30.98/8.16 | (667) all_0_244_244 = e20
% 30.98/8.16 |
% 30.98/8.16 | Combining equations (6339,667) yields a new equation:
% 30.98/8.16 | (657) e22 = e20
% 30.98/8.16 |
% 30.98/8.16 | Simplifying 657 yields:
% 30.98/8.16 | (658) e22 = e20
% 30.98/8.16 |
% 30.98/8.16 | Equations (658) can reduce 294 to:
% 30.98/8.16 | (537) $false
% 30.98/8.16 |
% 30.98/8.16 |-The branch is then unsatisfiable
% 30.98/8.16 |-Branch two:
% 30.98/8.16 | (6512) ~ (all_0_244_244 = e20)
% 30.98/8.16 | (6295) all_0_245_245 = e20
% 30.98/8.16 |
% 30.98/8.16 | Combining equations (6295,569) yields a new equation:
% 30.98/8.16 | (664) e21 = e20
% 30.98/8.16 |
% 30.98/8.16 | Equations (664) can reduce 401 to:
% 30.98/8.16 | (537) $false
% 30.98/8.16 |
% 30.98/8.16 |-The branch is then unsatisfiable
% 30.98/8.16 |-Branch two:
% 30.98/8.16 | (646) ~ (all_0_235_235 = e22)
% 30.98/8.16 | (7858) all_0_235_235 = e23 | all_0_235_235 = e20
% 30.98/8.16 |
% 30.98/8.16 +-Applying beta-rule and splitting (7858), into two cases.
% 30.98/8.16 |-Branch one:
% 30.98/8.16 | (633) all_0_235_235 = e23
% 30.98/8.16 |
% 30.98/8.16 | Equations (633) can reduce 606 to:
% 30.98/8.16 | (537) $false
% 30.98/8.16 |
% 30.98/8.16 |-The branch is then unsatisfiable
% 30.98/8.16 |-Branch two:
% 30.98/8.16 | (606) ~ (all_0_235_235 = e23)
% 30.98/8.16 | (651) all_0_235_235 = e20
% 30.98/8.16 |
% 30.98/8.16 | Equations (651) can reduce 107 to:
% 30.98/8.16 | (8107) ~ (all_0_236_236 = e20)
% 30.98/8.16 |
% 30.98/8.16 | Simplifying 8107 yields:
% 30.98/8.16 | (660) ~ (all_0_236_236 = e20)
% 30.98/8.16 |
% 30.98/8.16 | Equations (651) can reduce 212 to:
% 30.98/8.16 | (7117) ~ (all_0_243_243 = e20)
% 30.98/8.16 |
% 30.98/8.16 | Simplifying 7117 yields:
% 30.98/8.16 | (668) ~ (all_0_243_243 = e20)
% 30.98/8.16 |
% 30.98/8.16 | Equations (651) can reduce 646 to:
% 30.98/8.16 | (652) ~ (e22 = e20)
% 30.98/8.16 |
% 30.98/8.16 | Simplifying 652 yields:
% 30.98/8.16 | (294) ~ (e22 = e20)
% 30.98/8.16 |
% 30.98/8.16 | Equations (651) can reduce 416 to:
% 30.98/8.16 | (654) ~ (e21 = e20)
% 30.98/8.16 |
% 30.98/8.16 | Simplifying 654 yields:
% 30.98/8.16 | (401) ~ (e21 = e20)
% 30.98/8.16 |
% 30.98/8.16 | From (651) and (325) follows:
% 30.98/8.16 | (7121) op2(e20, e23) = all_0_135_135
% 30.98/8.16 |
% 30.98/8.16 +-Applying beta-rule and splitting (324), into two cases.
% 30.98/8.16 |-Branch one:
% 30.98/8.16 | (656) all_0_236_236 = e20
% 30.98/8.16 |
% 30.98/8.16 | Equations (656) can reduce 660 to:
% 30.98/8.16 | (537) $false
% 30.98/8.16 |
% 30.98/8.16 |-The branch is then unsatisfiable
% 30.98/8.16 |-Branch two:
% 30.98/8.16 | (660) ~ (all_0_236_236 = e20)
% 30.98/8.16 | (661) all_0_240_240 = e20 | all_0_244_244 = e20
% 30.98/8.16 |
% 30.98/8.16 +-Applying beta-rule and splitting (394), into two cases.
% 30.98/8.16 |-Branch one:
% 30.98/8.16 | (689) all_0_243_243 = e22
% 30.98/8.16 |
% 30.98/8.16 | Combining equations (689,556) yields a new equation:
% 30.98/8.16 | (8463) all_0_149_149 = e22
% 30.98/8.16 |
% 30.98/8.16 | Equations (689) can reduce 668 to:
% 30.98/8.16 | (294) ~ (e22 = e20)
% 30.98/8.16 |
% 30.98/8.16 | From (689) and (258) follows:
% 30.98/8.16 | (8465) op2(e22, e21) = all_0_158_158
% 30.98/8.16 |
% 30.98/8.16 +-Applying beta-rule and splitting (191), into two cases.
% 30.98/8.16 |-Branch one:
% 30.98/8.16 | (645) all_0_236_236 = e22
% 30.98/8.16 |
% 30.98/8.16 | Combining equations (645,8266) yields a new equation:
% 30.98/8.16 | (6340) all_0_155_155 = e22
% 30.98/8.16 |
% 30.98/8.16 | Equations (645) can reduce 225 to:
% 30.98/8.16 | (7363) ~ (all_0_244_244 = e22)
% 30.98/8.16 |
% 30.98/8.16 | Simplifying 7363 yields:
% 30.98/8.16 | (7364) ~ (all_0_244_244 = e22)
% 30.98/8.16 |
% 30.98/8.16 | Equations (645) can reduce 425 to:
% 30.98/8.16 | (613) ~ (e23 = e22)
% 30.98/8.16 |
% 30.98/8.16 | Simplifying 613 yields:
% 30.98/8.16 | (449) ~ (e23 = e22)
% 30.98/8.16 |
% 30.98/8.16 | Equations (645) can reduce 541 to:
% 30.98/8.16 | (92) ~ (e22 = e21)
% 30.98/8.16 |
% 30.98/8.16 | From (645) and (285) follows:
% 30.98/8.16 | (8130) op2(e22, e23) = all_0_138_138
% 30.98/8.16 |
% 30.98/8.16 | From (645) and (132) follows:
% 30.98/8.16 | (8131) op2(e22, e21) = all_0_137_137
% 30.98/8.16 |
% 30.98/8.16 +-Applying beta-rule and splitting (661), into two cases.
% 30.98/8.16 |-Branch one:
% 30.98/8.16 | (662) all_0_240_240 = e20
% 30.98/8.16 |
% 30.98/8.16 | Combining equations (540,662) yields a new equation:
% 30.98/8.16 | (663) e21 = e20
% 30.98/8.16 |
% 30.98/8.16 | Simplifying 663 yields:
% 30.98/8.16 | (664) e21 = e20
% 30.98/8.16 |
% 30.98/8.16 | Equations (664) can reduce 401 to:
% 30.98/8.16 | (537) $false
% 30.98/8.16 |
% 30.98/8.16 |-The branch is then unsatisfiable
% 30.98/8.16 |-Branch two:
% 30.98/8.16 | (666) ~ (all_0_240_240 = e20)
% 30.98/8.16 | (667) all_0_244_244 = e20
% 30.98/8.16 |
% 30.98/8.16 | Combining equations (667,8044) yields a new equation:
% 30.98/8.17 | (8122) all_0_164_164 = e20
% 30.98/8.17 |
% 30.98/8.17 | Equations (667) can reduce 7364 to:
% 30.98/8.17 | (652) ~ (e22 = e20)
% 30.98/8.17 |
% 30.98/8.17 | Simplifying 652 yields:
% 30.98/8.17 | (294) ~ (e22 = e20)
% 30.98/8.17 |
% 30.98/8.17 | Equations (667) can reduce 547 to:
% 30.98/8.17 | (654) ~ (e21 = e20)
% 30.98/8.17 |
% 30.98/8.17 | Simplifying 654 yields:
% 30.98/8.17 | (401) ~ (e21 = e20)
% 30.98/8.17 |
% 30.98/8.17 | Instantiating formula (340) with e22, e23, all_0_138_138, e22 and discharging atoms op2(e22, e23) = all_0_138_138, op2(e22, e23) = e22, yields:
% 30.98/8.17 | (8486) all_0_138_138 = e22
% 30.98/8.17 |
% 30.98/8.17 | Instantiating formula (340) with e22, e21, all_0_137_137, e21 and discharging atoms op2(e22, e21) = all_0_137_137, op2(e22, e21) = e21, yields:
% 30.98/8.17 | (8140) all_0_137_137 = e21
% 30.98/8.17 |
% 30.98/8.17 | Instantiating formula (340) with e22, e21, all_0_158_158, all_0_137_137 and discharging atoms op2(e22, e21) = all_0_137_137, op2(e22, e21) = all_0_158_158, yields:
% 30.98/8.17 | (8354) all_0_137_137 = all_0_158_158
% 30.98/8.17 |
% 30.98/8.17 | Instantiating formula (340) with e20, e23, all_0_135_135, e20 and discharging atoms op2(e20, e23) = all_0_135_135, op2(e20, e23) = e20, yields:
% 30.98/8.17 | (7201) all_0_135_135 = e20
% 30.98/8.17 |
% 30.98/8.17 | Combining equations (8354,8140) yields a new equation:
% 30.98/8.17 | (8490) all_0_158_158 = e21
% 30.98/8.17 |
% 30.98/8.17 | Simplifying 8490 yields:
% 30.98/8.17 | (7185) all_0_158_158 = e21
% 30.98/8.17 |
% 30.98/8.17 +-Applying beta-rule and splitting (69), into two cases.
% 30.98/8.17 |-Branch one:
% 30.98/8.17 | (6421) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)) | (all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20))
% 30.98/8.17 |
% 30.98/8.17 +-Applying beta-rule and splitting (6421), into two cases.
% 30.98/8.17 |-Branch one:
% 30.98/8.17 | (6422) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22))
% 30.98/8.17 |
% 30.98/8.17 +-Applying beta-rule and splitting (6422), into two cases.
% 30.98/8.17 |-Branch one:
% 30.98/8.17 | (6423) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23))
% 30.98/8.17 |
% 30.98/8.17 +-Applying beta-rule and splitting (6423), into two cases.
% 30.98/8.17 |-Branch one:
% 30.98/8.17 | (6424) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20))
% 30.98/8.17 |
% 30.98/8.17 +-Applying beta-rule and splitting (6424), into two cases.
% 30.98/8.17 |-Branch one:
% 30.98/8.17 | (6425) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21))
% 30.98/8.17 |
% 30.98/8.17 +-Applying beta-rule and splitting (6425), into two cases.
% 30.98/8.17 |-Branch one:
% 30.98/8.17 | (6426) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23))
% 30.98/8.17 |
% 30.98/8.17 +-Applying beta-rule and splitting (6426), into two cases.
% 30.98/8.17 |-Branch one:
% 30.98/8.17 | (6427) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20))
% 30.98/8.17 |
% 30.98/8.17 +-Applying beta-rule and splitting (6427), into two cases.
% 30.98/8.17 |-Branch one:
% 30.98/8.17 | (6428) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21))
% 30.98/8.17 |
% 30.98/8.17 +-Applying beta-rule and splitting (6428), into two cases.
% 30.98/8.17 |-Branch one:
% 30.98/8.17 | (6429) all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)
% 30.98/8.17 |
% 30.98/8.17 | Applying alpha-rule on (6429) yields:
% 30.98/8.17 | (6430) all_0_135_135 = e22
% 30.98/8.17 | (6431) ~ (all_0_134_134 = e23)
% 30.98/8.17 | (6432) ~ (all_0_136_136 = e22)
% 30.98/8.17 |
% 30.98/8.17 | Combining equations (6430,7201) yields a new equation:
% 30.98/8.17 | (657) e22 = e20
% 30.98/8.17 |
% 30.98/8.17 | Simplifying 657 yields:
% 30.98/8.17 | (658) e22 = e20
% 30.98/8.17 |
% 30.98/8.17 | Equations (658) can reduce 294 to:
% 30.98/8.17 | (537) $false
% 30.98/8.17 |
% 30.98/8.17 |-The branch is then unsatisfiable
% 30.98/8.17 |-Branch two:
% 30.98/8.17 | (6434) all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)
% 30.98/8.17 |
% 30.98/8.17 | Applying alpha-rule on (6434) yields:
% 30.98/8.17 | (6435) all_0_138_138 = e21
% 30.98/8.17 | (6436) ~ (all_0_137_137 = e23)
% 30.98/8.17 | (6437) ~ (all_0_139_139 = e21)
% 30.98/8.17 |
% 30.98/8.17 | Combining equations (6435,8486) yields a new equation:
% 30.98/8.17 | (6323) e22 = e21
% 30.98/8.17 |
% 30.98/8.17 | Equations (6323) can reduce 92 to:
% 30.98/8.17 | (537) $false
% 30.98/8.17 |
% 30.98/8.17 |-The branch is then unsatisfiable
% 30.98/8.17 |-Branch two:
% 30.98/8.17 | (6441) all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)
% 30.98/8.17 |
% 30.98/8.17 | Applying alpha-rule on (6441) yields:
% 30.98/8.17 | (6442) all_0_141_141 = e20
% 30.98/8.17 | (6443) ~ (all_0_140_140 = e23)
% 30.98/8.17 | (6444) ~ (all_0_142_142 = e20)
% 30.98/8.17 |
% 30.98/8.17 | Combining equations (6442,555) yields a new equation:
% 30.98/8.17 | (664) e21 = e20
% 30.98/8.17 |
% 30.98/8.17 | Equations (664) can reduce 401 to:
% 30.98/8.17 | (537) $false
% 30.98/8.17 |
% 30.98/8.17 |-The branch is then unsatisfiable
% 30.98/8.18 |-Branch two:
% 30.98/8.18 | (6447) all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)
% 30.98/8.18 |
% 30.98/8.18 | Applying alpha-rule on (6447) yields:
% 30.98/8.18 | (6448) all_0_144_144 = e23
% 30.98/8.18 | (6449) ~ (all_0_143_143 = e22)
% 30.98/8.18 | (6450) ~ (all_0_145_145 = e23)
% 30.98/8.18 |
% 30.98/8.18 | Equations (6394) can reduce 6450 to:
% 30.98/8.18 | (537) $false
% 30.98/8.18 |
% 30.98/8.18 |-The branch is then unsatisfiable
% 30.98/8.18 |-Branch two:
% 30.98/8.18 | (6452) all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)
% 30.98/8.18 |
% 30.98/8.18 | Applying alpha-rule on (6452) yields:
% 30.98/8.18 | (6453) all_0_149_149 = e21
% 30.98/8.18 | (6454) ~ (all_0_148_148 = e22)
% 30.98/8.18 | (6455) ~ (all_0_150_150 = e21)
% 30.98/8.18 |
% 30.98/8.18 | Combining equations (8463,6453) yields a new equation:
% 30.98/8.18 | (6913) e22 = e21
% 30.98/8.18 |
% 30.98/8.18 | Simplifying 6913 yields:
% 30.98/8.18 | (6323) e22 = e21
% 30.98/8.18 |
% 30.98/8.18 | Equations (6323) can reduce 92 to:
% 30.98/8.18 | (537) $false
% 30.98/8.18 |
% 30.98/8.18 |-The branch is then unsatisfiable
% 30.98/8.18 |-Branch two:
% 30.98/8.18 | (6458) all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)
% 30.98/8.18 |
% 30.98/8.18 | Applying alpha-rule on (6458) yields:
% 30.98/8.18 | (6459) all_0_152_152 = e20
% 30.98/8.18 | (6460) ~ (all_0_151_151 = e22)
% 30.98/8.18 | (6461) ~ (all_0_153_153 = e20)
% 30.98/8.18 |
% 30.98/8.18 | Combining equations (6416,6459) yields a new equation:
% 30.98/8.18 | (663) e21 = e20
% 30.98/8.18 |
% 30.98/8.18 | Simplifying 663 yields:
% 30.98/8.18 | (664) e21 = e20
% 30.98/8.18 |
% 30.98/8.18 | Equations (664) can reduce 401 to:
% 30.98/8.18 | (537) $false
% 30.98/8.18 |
% 30.98/8.18 |-The branch is then unsatisfiable
% 30.98/8.18 |-Branch two:
% 30.98/8.18 | (6465) all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)
% 30.98/8.18 |
% 30.98/8.18 | Applying alpha-rule on (6465) yields:
% 30.98/8.18 | (6466) all_0_155_155 = e23
% 30.98/8.18 | (6467) ~ (all_0_154_154 = e21)
% 30.98/8.18 | (6468) ~ (all_0_156_156 = e23)
% 30.98/8.18 |
% 30.98/8.18 | Combining equations (6340,6466) yields a new equation:
% 30.98/8.18 | (639) e23 = e22
% 30.98/8.18 |
% 30.98/8.18 | Equations (639) can reduce 449 to:
% 30.98/8.18 | (537) $false
% 30.98/8.18 |
% 30.98/8.18 |-The branch is then unsatisfiable
% 30.98/8.18 |-Branch two:
% 30.98/8.18 | (6471) all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)
% 30.98/8.18 |
% 30.98/8.18 | Applying alpha-rule on (6471) yields:
% 30.98/8.18 | (6472) all_0_158_158 = e22
% 30.98/8.18 | (6473) ~ (all_0_157_157 = e21)
% 30.98/8.18 | (6474) ~ (all_0_159_159 = e22)
% 30.98/8.18 |
% 30.98/8.18 | Combining equations (7185,6472) yields a new equation:
% 30.98/8.18 | (6323) e22 = e21
% 30.98/8.18 |
% 30.98/8.18 | Equations (6323) can reduce 92 to:
% 30.98/8.18 | (537) $false
% 30.98/8.18 |
% 30.98/8.18 |-The branch is then unsatisfiable
% 30.98/8.18 |-Branch two:
% 30.98/8.18 | (6478) all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20)
% 30.98/8.18 |
% 30.98/8.18 | Applying alpha-rule on (6478) yields:
% 30.98/8.18 | (6479) all_0_163_163 = e20
% 30.98/8.18 | (6480) ~ (all_0_162_162 = e21)
% 30.98/8.18 | (6481) ~ (all_0_164_164 = e20)
% 30.98/8.18 |
% 30.98/8.18 | Equations (8122) can reduce 6481 to:
% 30.98/8.18 | (537) $false
% 30.98/8.18 |
% 30.98/8.18 |-The branch is then unsatisfiable
% 30.98/8.19 |-Branch two:
% 30.98/8.19 | (6483) all_0_237_237 = e21 & ~ (all_0_236_236 = e20)
% 30.98/8.19 |
% 30.98/8.19 | Applying alpha-rule on (6483) yields:
% 30.98/8.19 | (523) all_0_237_237 = e21
% 30.98/8.19 | (660) ~ (all_0_236_236 = e20)
% 30.98/8.19 |
% 30.98/8.19 | Combining equations (523,589) yields a new equation:
% 30.98/8.19 | (590) e23 = e21
% 30.98/8.19 |
% 30.98/8.19 | Equations (590) can reduce 215 to:
% 30.98/8.19 | (537) $false
% 30.98/8.19 |
% 30.98/8.19 |-The branch is then unsatisfiable
% 30.98/8.19 |-Branch two:
% 30.98/8.19 | (6308) ~ (all_0_236_236 = e22)
% 30.98/8.19 | (6309) all_0_240_240 = e22 | all_0_244_244 = e22
% 30.98/8.19 |
% 30.98/8.19 +-Applying beta-rule and splitting (6315), into two cases.
% 30.98/8.19 |-Branch one:
% 30.98/8.19 | (647) all_0_235_235 = e22
% 30.98/8.19 |
% 30.98/8.19 | Combining equations (647,651) yields a new equation:
% 30.98/8.19 | (657) e22 = e20
% 30.98/8.19 |
% 30.98/8.19 | Simplifying 657 yields:
% 30.98/8.19 | (658) e22 = e20
% 30.98/8.19 |
% 30.98/8.19 | Equations (658) can reduce 294 to:
% 30.98/8.19 | (537) $false
% 30.98/8.19 |
% 30.98/8.19 |-The branch is then unsatisfiable
% 30.98/8.19 |-Branch two:
% 30.98/8.19 | (646) ~ (all_0_235_235 = e22)
% 30.98/8.19 | (645) all_0_236_236 = e22
% 30.98/8.19 |
% 30.98/8.19 | Equations (645) can reduce 6308 to:
% 30.98/8.19 | (537) $false
% 30.98/8.19 |
% 30.98/8.19 |-The branch is then unsatisfiable
% 30.98/8.19 |-Branch two:
% 30.98/8.19 | (6287) ~ (all_0_243_243 = e22)
% 30.98/8.19 | (6288) all_0_243_243 = e23 | all_0_243_243 = e20
% 30.98/8.19 |
% 30.98/8.19 +-Applying beta-rule and splitting (281), into two cases.
% 30.98/8.19 |-Branch one:
% 30.98/8.19 | (647) all_0_235_235 = e22
% 30.98/8.19 |
% 30.98/8.19 | Combining equations (651,647) yields a new equation:
% 30.98/8.19 | (658) e22 = e20
% 30.98/8.19 |
% 30.98/8.19 | Equations (658) can reduce 294 to:
% 30.98/8.19 | (537) $false
% 30.98/8.19 |
% 30.98/8.19 |-The branch is then unsatisfiable
% 30.98/8.19 |-Branch two:
% 30.98/8.19 | (646) ~ (all_0_235_235 = e22)
% 30.98/8.19 | (650) all_0_239_239 = e22 | all_0_243_243 = e22
% 30.98/8.19 |
% 30.98/8.19 +-Applying beta-rule and splitting (580), into two cases.
% 30.98/8.19 |-Branch one:
% 30.98/8.19 | (645) all_0_236_236 = e22
% 30.98/8.19 |
% 30.98/8.19 | Equations (645) can reduce 425 to:
% 30.98/8.19 | (613) ~ (e23 = e22)
% 30.98/8.19 |
% 30.98/8.19 | Simplifying 613 yields:
% 30.98/8.19 | (449) ~ (e23 = e22)
% 30.98/8.19 |
% 30.98/8.19 +-Applying beta-rule and splitting (650), into two cases.
% 30.98/8.19 |-Branch one:
% 30.98/8.19 | (6372) all_0_239_239 = e22
% 30.98/8.19 |
% 30.98/8.19 | Combining equations (6372,692) yields a new equation:
% 30.98/8.19 | (639) e23 = e22
% 30.98/8.19 |
% 30.98/8.19 | Equations (639) can reduce 449 to:
% 30.98/8.19 | (537) $false
% 30.98/8.19 |
% 30.98/8.19 |-The branch is then unsatisfiable
% 30.98/8.19 |-Branch two:
% 30.98/8.19 | (6318) ~ (all_0_239_239 = e22)
% 30.98/8.19 | (689) all_0_243_243 = e22
% 30.98/8.19 |
% 30.98/8.19 | Equations (689) can reduce 6287 to:
% 30.98/8.19 | (537) $false
% 30.98/8.19 |
% 30.98/8.19 |-The branch is then unsatisfiable
% 30.98/8.19 |-Branch two:
% 30.98/8.19 | (6308) ~ (all_0_236_236 = e22)
% 30.98/8.19 | (656) all_0_236_236 = e20
% 30.98/8.19 |
% 30.98/8.19 | Equations (656) can reduce 660 to:
% 30.98/8.19 | (537) $false
% 30.98/8.19 |
% 30.98/8.19 |-The branch is then unsatisfiable
% 30.98/8.19 |-Branch two:
% 30.98/8.19 | (600) ~ (all_0_242_242 = e23)
% 30.98/8.19 | (601) all_0_243_243 = e23 | all_0_245_245 = e23
% 30.98/8.19 |
% 30.98/8.19 +-Applying beta-rule and splitting (601), into two cases.
% 30.98/8.19 |-Branch one:
% 30.98/8.19 | (6284) all_0_243_243 = e23
% 30.98/8.19 |
% 30.98/8.19 | Equations (6284) can reduce 688 to:
% 30.98/8.19 | (537) $false
% 30.98/8.19 |
% 30.98/8.19 |-The branch is then unsatisfiable
% 30.98/8.19 |-Branch two:
% 30.98/8.19 | (688) ~ (all_0_243_243 = e23)
% 30.98/8.19 | (687) all_0_245_245 = e23
% 30.98/8.19 |
% 30.98/8.19 | Combining equations (569,687) yields a new equation:
% 30.98/8.19 | (590) e23 = e21
% 30.98/8.19 |
% 30.98/8.19 | Equations (590) can reduce 215 to:
% 30.98/8.19 | (537) $false
% 30.98/8.19 |
% 30.98/8.19 |-The branch is then unsatisfiable
% 30.98/8.19 |-Branch two:
% 30.98/8.19 | (6283) ~ (all_0_239_239 = e23)
% 30.98/8.19 | (6389) all_0_239_239 = e20
% 30.98/8.19 |
% 30.98/8.19 | Equations (6389) can reduce 6378 to:
% 30.98/8.19 | (537) $false
% 30.98/8.19 |
% 30.98/8.19 |-The branch is then unsatisfiable
% 30.98/8.19 |-Branch two:
% 30.98/8.19 | (6622) ~ (all_0_238_238 = e22)
% 30.98/8.19 | (6652) all_0_239_239 = e22 | all_0_240_240 = e22
% 30.98/8.19 |
% 30.98/8.19 +-Applying beta-rule and splitting (6375), into two cases.
% 30.98/8.19 |-Branch one:
% 30.98/8.19 | (692) all_0_239_239 = e23
% 30.98/8.19 |
% 30.98/8.19 | Equations (692) can reduce 415 to:
% 30.98/8.19 | (606) ~ (all_0_235_235 = e23)
% 30.98/8.19 |
% 30.98/8.19 | Equations (692) can reduce 32 to:
% 30.98/8.19 | (6698) ~ (all_0_243_243 = e23)
% 30.98/8.19 |
% 30.98/8.19 | Simplifying 6698 yields:
% 30.98/8.19 | (688) ~ (all_0_243_243 = e23)
% 30.98/8.19 |
% 30.98/8.19 +-Applying beta-rule and splitting (6917), into two cases.
% 30.98/8.19 |-Branch one:
% 30.98/8.19 | (610) all_0_238_238 = e22
% 30.98/8.19 |
% 30.98/8.19 | Equations (610) can reduce 6622 to:
% 30.98/8.19 | (537) $false
% 30.98/8.19 |
% 30.98/8.19 |-The branch is then unsatisfiable
% 30.98/8.19 |-Branch two:
% 30.98/8.19 | (6622) ~ (all_0_238_238 = e22)
% 30.98/8.19 | (6322) all_0_242_242 = e22
% 30.98/8.19 |
% 30.98/8.19 | Equations (6322) can reduce 392 to:
% 30.98/8.19 | (6663) ~ (all_0_243_243 = e22)
% 30.98/8.19 |
% 30.98/8.19 | Simplifying 6663 yields:
% 30.98/8.19 | (6287) ~ (all_0_243_243 = e22)
% 30.98/8.19 |
% 30.98/8.19 | Equations (6322) can reduce 27 to:
% 30.98/8.19 | (7363) ~ (all_0_244_244 = e22)
% 30.98/8.19 |
% 30.98/8.19 | Simplifying 7363 yields:
% 30.98/8.19 | (7364) ~ (all_0_244_244 = e22)
% 30.98/8.19 |
% 30.98/8.19 +-Applying beta-rule and splitting (394), into two cases.
% 30.98/8.19 |-Branch one:
% 30.98/8.19 | (689) all_0_243_243 = e22
% 30.98/8.19 |
% 30.98/8.19 | Equations (689) can reduce 6287 to:
% 30.98/8.19 | (537) $false
% 30.98/8.19 |
% 30.98/8.19 |-The branch is then unsatisfiable
% 30.98/8.19 |-Branch two:
% 30.98/8.19 | (6287) ~ (all_0_243_243 = e22)
% 30.98/8.19 | (6288) all_0_243_243 = e23 | all_0_243_243 = e20
% 30.98/8.19 |
% 30.98/8.19 +-Applying beta-rule and splitting (6288), into two cases.
% 30.98/8.19 |-Branch one:
% 30.98/8.19 | (6284) all_0_243_243 = e23
% 30.98/8.19 |
% 30.98/8.19 | Equations (6284) can reduce 688 to:
% 30.98/8.19 | (537) $false
% 30.98/8.19 |
% 30.98/8.19 |-The branch is then unsatisfiable
% 30.98/8.19 |-Branch two:
% 30.98/8.19 | (688) ~ (all_0_243_243 = e23)
% 30.98/8.20 | (6292) all_0_243_243 = e20
% 30.98/8.20 |
% 30.98/8.20 | Equations (6292) can reduce 212 to:
% 30.98/8.20 | (6297) ~ (all_0_235_235 = e20)
% 30.98/8.20 |
% 30.98/8.20 | Equations (6292) can reduce 688 to:
% 30.98/8.20 | (671) ~ (e23 = e20)
% 30.98/8.20 |
% 30.98/8.20 | Simplifying 671 yields:
% 30.98/8.20 | (14) ~ (e23 = e20)
% 30.98/8.20 |
% 30.98/8.20 +-Applying beta-rule and splitting (332), into two cases.
% 30.98/8.20 |-Branch one:
% 30.98/8.20 | (647) all_0_235_235 = e22
% 30.98/8.20 |
% 30.98/8.20 | Equations (647) can reduce 6297 to:
% 30.98/8.20 | (294) ~ (e22 = e20)
% 30.98/8.20 |
% 30.98/8.20 +-Applying beta-rule and splitting (157), into two cases.
% 30.98/8.20 |-Branch one:
% 30.98/8.20 | (651) all_0_235_235 = e20
% 30.98/8.20 |
% 30.98/8.20 | Combining equations (647,651) yields a new equation:
% 30.98/8.20 | (657) e22 = e20
% 30.98/8.20 |
% 30.98/8.20 | Simplifying 657 yields:
% 30.98/8.20 | (658) e22 = e20
% 30.98/8.20 |
% 30.98/8.20 | Equations (658) can reduce 294 to:
% 30.98/8.20 | (537) $false
% 30.98/8.20 |
% 30.98/8.20 |-The branch is then unsatisfiable
% 30.98/8.20 |-Branch two:
% 30.98/8.20 | (6297) ~ (all_0_235_235 = e20)
% 30.98/8.20 | (6298) all_0_236_236 = e20 | all_0_237_237 = e20
% 30.98/8.20 |
% 30.98/8.20 +-Applying beta-rule and splitting (6298), into two cases.
% 30.98/8.20 |-Branch one:
% 30.98/8.20 | (656) all_0_236_236 = e20
% 30.98/8.20 |
% 30.98/8.20 | Equations (656) can reduce 225 to:
% 30.98/8.20 | (7164) ~ (all_0_244_244 = e20)
% 30.98/8.20 |
% 30.98/8.20 | Simplifying 7164 yields:
% 30.98/8.20 | (6512) ~ (all_0_244_244 = e20)
% 30.98/8.20 |
% 30.98/8.20 +-Applying beta-rule and splitting (584), into two cases.
% 30.98/8.20 |-Branch one:
% 30.98/8.20 | (6339) all_0_244_244 = e22
% 30.98/8.20 |
% 30.98/8.20 | Equations (6339) can reduce 7364 to:
% 30.98/8.20 | (537) $false
% 30.98/8.20 |
% 30.98/8.20 |-The branch is then unsatisfiable
% 30.98/8.20 |-Branch two:
% 30.98/8.20 | (7364) ~ (all_0_244_244 = e22)
% 30.98/8.20 | (667) all_0_244_244 = e20
% 30.98/8.20 |
% 30.98/8.20 | Equations (667) can reduce 6512 to:
% 30.98/8.20 | (537) $false
% 30.98/8.20 |
% 30.98/8.20 |-The branch is then unsatisfiable
% 30.98/8.20 |-Branch two:
% 30.98/8.20 | (660) ~ (all_0_236_236 = e20)
% 30.98/8.20 | (675) all_0_237_237 = e20
% 30.98/8.20 |
% 30.98/8.20 | Combining equations (589,675) yields a new equation:
% 30.98/8.20 | (683) e23 = e20
% 30.98/8.20 |
% 30.98/8.20 | Simplifying 683 yields:
% 30.98/8.20 | (684) e23 = e20
% 30.98/8.20 |
% 30.98/8.20 | Equations (684) can reduce 14 to:
% 30.98/8.20 | (537) $false
% 30.98/8.20 |
% 30.98/8.20 |-The branch is then unsatisfiable
% 30.98/8.20 |-Branch two:
% 30.98/8.20 | (646) ~ (all_0_235_235 = e22)
% 30.98/8.20 | (7858) all_0_235_235 = e23 | all_0_235_235 = e20
% 30.98/8.20 |
% 30.98/8.20 +-Applying beta-rule and splitting (157), into two cases.
% 30.98/8.20 |-Branch one:
% 30.98/8.20 | (651) all_0_235_235 = e20
% 30.98/8.20 |
% 30.98/8.20 | Equations (651) can reduce 6297 to:
% 30.98/8.20 | (537) $false
% 30.98/8.20 |
% 30.98/8.20 |-The branch is then unsatisfiable
% 30.98/8.20 |-Branch two:
% 30.98/8.20 | (6297) ~ (all_0_235_235 = e20)
% 30.98/8.20 | (6298) all_0_236_236 = e20 | all_0_237_237 = e20
% 30.98/8.20 |
% 30.98/8.20 +-Applying beta-rule and splitting (7858), into two cases.
% 30.98/8.20 |-Branch one:
% 30.98/8.20 | (633) all_0_235_235 = e23
% 30.98/8.20 |
% 30.98/8.20 | Equations (633) can reduce 606 to:
% 30.98/8.20 | (537) $false
% 30.98/8.20 |
% 30.98/8.20 |-The branch is then unsatisfiable
% 30.98/8.20 |-Branch two:
% 30.98/8.20 | (606) ~ (all_0_235_235 = e23)
% 30.98/8.20 | (651) all_0_235_235 = e20
% 30.98/8.20 |
% 30.98/8.20 | Equations (651) can reduce 6297 to:
% 30.98/8.20 | (537) $false
% 30.98/8.20 |
% 30.98/8.20 |-The branch is then unsatisfiable
% 30.98/8.20 |-Branch two:
% 30.98/8.20 | (6283) ~ (all_0_239_239 = e23)
% 30.98/8.20 | (6389) all_0_239_239 = e20
% 30.98/8.20 |
% 30.98/8.20 | Equations (6389) can reduce 6378 to:
% 30.98/8.20 | (537) $false
% 30.98/8.20 |
% 30.98/8.20 |-The branch is then unsatisfiable
% 30.98/8.20 |-Branch two:
% 30.98/8.20 | (592) ~ (all_0_237_237 = e23)
% 30.98/8.20 | (593) all_0_241_241 = e23 | all_0_245_245 = e23
% 30.98/8.20 |
% 30.98/8.20 +-Applying beta-rule and splitting (6626), into two cases.
% 30.98/8.20 |-Branch one:
% 30.98/8.20 | (633) all_0_235_235 = e23
% 30.98/8.20 |
% 30.98/8.20 | Equations (633) can reduce 107 to:
% 30.98/8.20 | (8662) ~ (all_0_236_236 = e23)
% 30.98/8.20 |
% 30.98/8.20 | Simplifying 8662 yields:
% 30.98/8.20 | (425) ~ (all_0_236_236 = e23)
% 30.98/8.20 |
% 30.98/8.20 | Equations (633) can reduce 416 to:
% 30.98/8.20 | (215) ~ (e23 = e21)
% 30.98/8.20 |
% 30.98/8.20 | From (633) and (325) follows:
% 30.98/8.20 | (7331) op2(e23, e23) = all_0_135_135
% 30.98/8.20 |
% 30.98/8.20 | From (633) and (220) follows:
% 30.98/8.20 | (6700) op2(e23, e22) = all_0_134_134
% 30.98/8.20 |
% 30.98/8.20 | From (633) and (436) follows:
% 30.98/8.20 | (6701) op2(e23, e22) = e23
% 30.98/8.20 |
% 30.98/8.20 +-Applying beta-rule and splitting (593), into two cases.
% 30.98/8.20 |-Branch one:
% 30.98/8.20 | (682) all_0_241_241 = e23
% 30.98/8.20 |
% 30.98/8.20 | Equations (682) can reduce 265 to:
% 30.98/8.20 | (608) ~ (all_0_238_238 = e23)
% 30.98/8.20 |
% 30.98/8.20 | Equations (682) can reduce 379 to:
% 30.98/8.20 | (6283) ~ (all_0_239_239 = e23)
% 30.98/8.20 |
% 30.98/8.20 | From (682) and (463) follows:
% 30.98/8.20 | (6526) op2(e23, e22) = all_0_152_152
% 30.98/8.20 |
% 30.98/8.20 | From (682) and (41) follows:
% 30.98/8.20 | (8672) op2(e23, e20) = all_0_151_151
% 30.98/8.20 |
% 30.98/8.20 +-Applying beta-rule and splitting (390), into two cases.
% 30.98/8.20 |-Branch one:
% 30.98/8.20 | (596) all_0_242_242 = e23
% 30.98/8.20 |
% 30.98/8.20 | Equations (596) can reduce 66 to:
% 30.98/8.20 | (608) ~ (all_0_238_238 = e23)
% 30.98/8.20 |
% 30.98/8.20 | Equations (596) can reduce 392 to:
% 30.98/8.20 | (6698) ~ (all_0_243_243 = e23)
% 30.98/8.20 |
% 30.98/8.20 | Simplifying 6698 yields:
% 30.98/8.20 | (688) ~ (all_0_243_243 = e23)
% 30.98/8.20 |
% 30.98/8.20 | Equations (596) can reduce 27 to:
% 30.98/8.20 | (7125) ~ (all_0_244_244 = e23)
% 30.98/8.20 |
% 30.98/8.21 | Simplifying 7125 yields:
% 30.98/8.21 | (95) ~ (all_0_244_244 = e23)
% 30.98/8.21 |
% 30.98/8.21 | Equations (596) can reduce 266 to:
% 30.98/8.21 | (14) ~ (e23 = e20)
% 30.98/8.21 |
% 30.98/8.21 | From (596) and (97) follows:
% 30.98/8.21 | (8264) op2(e23, e21) = all_0_155_155
% 30.98/8.21 |
% 30.98/8.21 +-Applying beta-rule and splitting (568), into two cases.
% 30.98/8.21 |-Branch one:
% 30.98/8.21 | (610) all_0_238_238 = e22
% 30.98/8.21 |
% 30.98/8.21 | From (610) and (133) follows:
% 30.98/8.21 | (616) op2(e22, e22) = all_0_144_144
% 30.98/8.21 |
% 30.98/8.21 | From (610) and (235) follows:
% 30.98/8.21 | (618) op2(e22, e22) = all_0_145_145
% 30.98/8.21 |
% 30.98/8.21 | From (610) and (171) follows:
% 30.98/8.21 | (8247) op2(e22, e23) = e22
% 30.98/8.21 |
% 30.98/8.21 +-Applying beta-rule and splitting (234), into two cases.
% 30.98/8.21 |-Branch one:
% 30.98/8.21 | (6389) all_0_239_239 = e20
% 30.98/8.21 |
% 30.98/8.21 | Equations (6389) can reduce 32 to:
% 30.98/8.21 | (7117) ~ (all_0_243_243 = e20)
% 30.98/8.21 |
% 30.98/8.21 | Simplifying 7117 yields:
% 30.98/8.21 | (668) ~ (all_0_243_243 = e20)
% 30.98/8.21 |
% 30.98/8.21 | Equations (6389) can reduce 6283 to:
% 30.98/8.21 | (671) ~ (e23 = e20)
% 30.98/8.21 |
% 30.98/8.21 | Simplifying 671 yields:
% 30.98/8.21 | (14) ~ (e23 = e20)
% 30.98/8.21 |
% 30.98/8.21 | Equations (6389) can reduce 18 to:
% 30.98/8.21 | (654) ~ (e21 = e20)
% 30.98/8.21 |
% 30.98/8.21 | Simplifying 654 yields:
% 30.98/8.21 | (401) ~ (e21 = e20)
% 30.98/8.21 |
% 30.98/8.21 | From (6389) and (256) follows:
% 30.98/8.21 | (7388) op2(e22, e22) = e20
% 30.98/8.21 |
% 30.98/8.21 +-Applying beta-rule and splitting (188), into two cases.
% 30.98/8.21 |-Branch one:
% 30.98/8.21 | (6292) all_0_243_243 = e20
% 30.98/8.21 |
% 30.98/8.21 | Equations (6292) can reduce 668 to:
% 30.98/8.21 | (537) $false
% 30.98/8.21 |
% 30.98/8.21 |-The branch is then unsatisfiable
% 30.98/8.21 |-Branch two:
% 30.98/8.21 | (668) ~ (all_0_243_243 = e20)
% 30.98/8.21 | (6491) all_0_244_244 = e20 | all_0_245_245 = e20
% 30.98/8.21 |
% 30.98/8.21 +-Applying beta-rule and splitting (394), into two cases.
% 30.98/8.21 |-Branch one:
% 30.98/8.21 | (689) all_0_243_243 = e22
% 30.98/8.21 |
% 30.98/8.21 | Combining equations (689,556) yields a new equation:
% 30.98/8.21 | (8463) all_0_149_149 = e22
% 30.98/8.21 |
% 30.98/8.21 | Equations (689) can reduce 688 to:
% 30.98/8.21 | (613) ~ (e23 = e22)
% 30.98/8.21 |
% 30.98/8.21 | Simplifying 613 yields:
% 30.98/8.21 | (449) ~ (e23 = e22)
% 30.98/8.21 |
% 30.98/8.21 | Equations (689) can reduce 668 to:
% 30.98/8.21 | (294) ~ (e22 = e20)
% 30.98/8.21 |
% 30.98/8.21 | From (689) and (258) follows:
% 30.98/8.21 | (8465) op2(e22, e21) = all_0_158_158
% 30.98/8.21 |
% 30.98/8.21 +-Applying beta-rule and splitting (191), into two cases.
% 30.98/8.21 |-Branch one:
% 30.98/8.21 | (645) all_0_236_236 = e22
% 30.98/8.21 |
% 30.98/8.21 | Equations (645) can reduce 425 to:
% 30.98/8.21 | (613) ~ (e23 = e22)
% 30.98/8.21 |
% 30.98/8.21 | Simplifying 613 yields:
% 30.98/8.21 | (449) ~ (e23 = e22)
% 30.98/8.21 |
% 30.98/8.21 | Equations (645) can reduce 541 to:
% 30.98/8.21 | (92) ~ (e22 = e21)
% 30.98/8.21 |
% 30.98/8.21 | From (645) and (285) follows:
% 30.98/8.21 | (8130) op2(e22, e23) = all_0_138_138
% 30.98/8.21 |
% 30.98/8.21 | From (645) and (132) follows:
% 30.98/8.21 | (8131) op2(e22, e21) = all_0_137_137
% 30.98/8.21 |
% 30.98/8.21 | From (645) and (81) follows:
% 30.98/8.21 | (8132) op2(e23, e22) = all_0_139_139
% 30.98/8.21 |
% 30.98/8.21 | From (645) and (451) follows:
% 30.98/8.21 | (8710) op2(e23, e21) = e22
% 30.98/8.21 |
% 30.98/8.21 +-Applying beta-rule and splitting (324), into two cases.
% 30.98/8.21 |-Branch one:
% 30.98/8.21 | (656) all_0_236_236 = e20
% 30.98/8.21 |
% 30.98/8.21 | Combining equations (645,656) yields a new equation:
% 30.98/8.21 | (657) e22 = e20
% 30.98/8.21 |
% 30.98/8.21 | Simplifying 657 yields:
% 30.98/8.21 | (658) e22 = e20
% 30.98/8.21 |
% 30.98/8.21 | Equations (658) can reduce 294 to:
% 30.98/8.21 | (537) $false
% 30.98/8.21 |
% 30.98/8.21 |-The branch is then unsatisfiable
% 30.98/8.21 |-Branch two:
% 30.98/8.21 | (660) ~ (all_0_236_236 = e20)
% 30.98/8.21 | (661) all_0_240_240 = e20 | all_0_244_244 = e20
% 30.98/8.21 |
% 30.98/8.21 +-Applying beta-rule and splitting (452), into two cases.
% 30.98/8.21 |-Branch one:
% 30.98/8.21 | (675) all_0_237_237 = e20
% 30.98/8.21 |
% 30.98/8.21 | Equations (675) can reduce 6941 to:
% 30.98/8.21 | (654) ~ (e21 = e20)
% 30.98/8.21 |
% 30.98/8.21 | Simplifying 654 yields:
% 30.98/8.21 | (401) ~ (e21 = e20)
% 30.98/8.21 |
% 30.98/8.21 | From (675) and (4) follows:
% 30.98/8.21 | (7316) op2(e23, e20) = all_0_142_142
% 30.98/8.21 |
% 30.98/8.21 | From (675) and (441) follows:
% 30.98/8.21 | (7317) op2(e23, e20) = e20
% 30.98/8.21 |
% 30.98/8.21 +-Applying beta-rule and splitting (661), into two cases.
% 30.98/8.21 |-Branch one:
% 30.98/8.21 | (662) all_0_240_240 = e20
% 30.98/8.21 |
% 30.98/8.21 | Combining equations (540,662) yields a new equation:
% 30.98/8.21 | (663) e21 = e20
% 30.98/8.21 |
% 30.98/8.21 | Simplifying 663 yields:
% 30.98/8.21 | (664) e21 = e20
% 30.98/8.21 |
% 30.98/8.21 | Equations (664) can reduce 401 to:
% 30.98/8.21 | (537) $false
% 30.98/8.21 |
% 30.98/8.21 |-The branch is then unsatisfiable
% 30.98/8.21 |-Branch two:
% 30.98/8.21 | (666) ~ (all_0_240_240 = e20)
% 30.98/8.21 | (667) all_0_244_244 = e20
% 30.98/8.21 |
% 30.98/8.21 | Combining equations (667,8044) yields a new equation:
% 30.98/8.21 | (8122) all_0_164_164 = e20
% 30.98/8.21 |
% 30.98/8.21 | Equations (667) can reduce 95 to:
% 30.98/8.21 | (671) ~ (e23 = e20)
% 30.98/8.21 |
% 30.98/8.21 | Simplifying 671 yields:
% 30.98/8.21 | (14) ~ (e23 = e20)
% 30.98/8.21 |
% 30.98/8.21 | Equations (667) can reduce 547 to:
% 30.98/8.21 | (654) ~ (e21 = e20)
% 30.98/8.21 |
% 30.98/8.21 | Simplifying 654 yields:
% 30.98/8.21 | (401) ~ (e21 = e20)
% 30.98/8.21 |
% 30.98/8.21 | Instantiating formula (340) with e23, e23, all_0_135_135, e21 and discharging atoms op2(e23, e23) = all_0_135_135, op2(e23, e23) = e21, yields:
% 30.98/8.21 | (8733) all_0_135_135 = e21
% 30.98/8.21 |
% 30.98/8.21 | Instantiating formula (340) with e23, e22, all_0_139_139, all_0_134_134 and discharging atoms op2(e23, e22) = all_0_134_134, op2(e23, e22) = all_0_139_139, yields:
% 30.98/8.21 | (8734) all_0_134_134 = all_0_139_139
% 30.98/8.21 |
% 30.98/8.21 | Instantiating formula (340) with e23, e22, all_0_152_152, all_0_134_134 and discharging atoms op2(e23, e22) = all_0_134_134, op2(e23, e22) = all_0_152_152, yields:
% 30.98/8.21 | (8735) all_0_134_134 = all_0_152_152
% 30.98/8.21 |
% 30.98/8.21 | Instantiating formula (340) with e23, e22, e23, all_0_139_139 and discharging atoms op2(e23, e22) = all_0_139_139, op2(e23, e22) = e23, yields:
% 30.98/8.21 | (8736) all_0_139_139 = e23
% 30.98/8.21 |
% 30.98/8.21 | Instantiating formula (340) with e23, e21, e22, all_0_155_155 and discharging atoms op2(e23, e21) = all_0_155_155, op2(e23, e21) = e22, yields:
% 30.98/8.21 | (6340) all_0_155_155 = e22
% 30.98/8.21 |
% 30.98/8.21 | Instantiating formula (340) with e23, e20, all_0_151_151, all_0_142_142 and discharging atoms op2(e23, e20) = all_0_142_142, op2(e23, e20) = all_0_151_151, yields:
% 30.98/8.21 | (8738) all_0_142_142 = all_0_151_151
% 30.98/8.21 |
% 30.98/8.21 | Instantiating formula (340) with e23, e20, e20, all_0_142_142 and discharging atoms op2(e23, e20) = all_0_142_142, op2(e23, e20) = e20, yields:
% 30.98/8.21 | (7339) all_0_142_142 = e20
% 30.98/8.21 |
% 30.98/8.21 | Instantiating formula (340) with e22, e23, e22, all_0_138_138 and discharging atoms op2(e22, e23) = all_0_138_138, op2(e22, e23) = e22, yields:
% 30.98/8.21 | (8486) all_0_138_138 = e22
% 30.98/8.21 |
% 30.98/8.21 | Instantiating formula (340) with e22, e22, all_0_145_145, all_0_144_144 and discharging atoms op2(e22, e22) = all_0_144_144, op2(e22, e22) = all_0_145_145, yields:
% 30.98/8.21 | (623) all_0_144_144 = all_0_145_145
% 30.98/8.21 |
% 30.98/8.21 | Instantiating formula (340) with e22, e22, e20, all_0_144_144 and discharging atoms op2(e22, e22) = all_0_144_144, op2(e22, e22) = e20, yields:
% 30.98/8.21 | (6506) all_0_144_144 = e20
% 30.98/8.22 |
% 30.98/8.22 | Instantiating formula (340) with e22, e21, all_0_137_137, e21 and discharging atoms op2(e22, e21) = all_0_137_137, op2(e22, e21) = e21, yields:
% 30.98/8.22 | (8140) all_0_137_137 = e21
% 30.98/8.22 |
% 30.98/8.22 | Instantiating formula (340) with e22, e21, all_0_158_158, all_0_137_137 and discharging atoms op2(e22, e21) = all_0_137_137, op2(e22, e21) = all_0_158_158, yields:
% 30.98/8.22 | (8354) all_0_137_137 = all_0_158_158
% 30.98/8.22 |
% 30.98/8.22 | Combining equations (8734,8735) yields a new equation:
% 30.98/8.22 | (8745) all_0_139_139 = all_0_152_152
% 30.98/8.22 |
% 30.98/8.22 | Simplifying 8745 yields:
% 30.98/8.22 | (8746) all_0_139_139 = all_0_152_152
% 30.98/8.22 |
% 30.98/8.22 | Combining equations (8354,8140) yields a new equation:
% 30.98/8.22 | (8490) all_0_158_158 = e21
% 30.98/8.22 |
% 30.98/8.22 | Simplifying 8490 yields:
% 30.98/8.22 | (7185) all_0_158_158 = e21
% 30.98/8.22 |
% 30.98/8.22 | Combining equations (8746,8736) yields a new equation:
% 30.98/8.22 | (8749) all_0_152_152 = e23
% 30.98/8.22 |
% 30.98/8.22 | Simplifying 8749 yields:
% 30.98/8.22 | (7124) all_0_152_152 = e23
% 30.98/8.22 |
% 30.98/8.22 | Combining equations (7339,8738) yields a new equation:
% 30.98/8.22 | (8751) all_0_151_151 = e20
% 30.98/8.22 |
% 30.98/8.22 | Combining equations (6506,623) yields a new equation:
% 30.98/8.22 | (8752) all_0_145_145 = e20
% 30.98/8.22 |
% 30.98/8.22 | Combining equations (8752,623) yields a new equation:
% 30.98/8.22 | (6506) all_0_144_144 = e20
% 30.98/8.22 |
% 30.98/8.22 | Combining equations (8751,8738) yields a new equation:
% 30.98/8.22 | (7339) all_0_142_142 = e20
% 30.98/8.22 |
% 30.98/8.22 +-Applying beta-rule and splitting (69), into two cases.
% 30.98/8.22 |-Branch one:
% 30.98/8.22 | (6421) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)) | (all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20))
% 30.98/8.22 |
% 30.98/8.22 +-Applying beta-rule and splitting (6421), into two cases.
% 30.98/8.22 |-Branch one:
% 30.98/8.22 | (6422) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22))
% 30.98/8.22 |
% 30.98/8.22 +-Applying beta-rule and splitting (6422), into two cases.
% 30.98/8.22 |-Branch one:
% 30.98/8.22 | (6423) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23))
% 30.98/8.22 |
% 30.98/8.22 +-Applying beta-rule and splitting (6423), into two cases.
% 30.98/8.22 |-Branch one:
% 30.98/8.22 | (6424) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20))
% 30.98/8.22 |
% 30.98/8.22 +-Applying beta-rule and splitting (6424), into two cases.
% 30.98/8.22 |-Branch one:
% 30.98/8.22 | (6425) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21))
% 30.98/8.22 |
% 30.98/8.22 +-Applying beta-rule and splitting (6425), into two cases.
% 30.98/8.22 |-Branch one:
% 30.98/8.22 | (6426) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23))
% 30.98/8.22 |
% 30.98/8.22 +-Applying beta-rule and splitting (6426), into two cases.
% 30.98/8.22 |-Branch one:
% 30.98/8.22 | (6427) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20))
% 30.98/8.22 |
% 30.98/8.22 +-Applying beta-rule and splitting (6427), into two cases.
% 30.98/8.22 |-Branch one:
% 30.98/8.22 | (6428) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21))
% 30.98/8.22 |
% 30.98/8.22 +-Applying beta-rule and splitting (6428), into two cases.
% 30.98/8.22 |-Branch one:
% 30.98/8.22 | (6429) all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)
% 30.98/8.22 |
% 30.98/8.22 | Applying alpha-rule on (6429) yields:
% 30.98/8.23 | (6430) all_0_135_135 = e22
% 30.98/8.23 | (6431) ~ (all_0_134_134 = e23)
% 30.98/8.23 | (6432) ~ (all_0_136_136 = e22)
% 30.98/8.23 |
% 30.98/8.23 | Combining equations (6430,8733) yields a new equation:
% 30.98/8.23 | (6913) e22 = e21
% 30.98/8.23 |
% 31.10/8.23 | Simplifying 6913 yields:
% 31.10/8.23 | (6323) e22 = e21
% 31.10/8.23 |
% 31.10/8.23 | Equations (6323) can reduce 92 to:
% 31.10/8.23 | (537) $false
% 31.10/8.23 |
% 31.10/8.23 |-The branch is then unsatisfiable
% 31.10/8.23 |-Branch two:
% 31.10/8.23 | (6434) all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)
% 31.10/8.23 |
% 31.10/8.23 | Applying alpha-rule on (6434) yields:
% 31.10/8.23 | (6435) all_0_138_138 = e21
% 31.10/8.23 | (6436) ~ (all_0_137_137 = e23)
% 31.10/8.23 | (6437) ~ (all_0_139_139 = e21)
% 31.10/8.23 |
% 31.10/8.23 | Combining equations (6435,8486) yields a new equation:
% 31.10/8.23 | (6323) e22 = e21
% 31.10/8.23 |
% 31.10/8.23 | Equations (6323) can reduce 92 to:
% 31.10/8.23 | (537) $false
% 31.10/8.23 |
% 31.10/8.23 |-The branch is then unsatisfiable
% 31.10/8.23 |-Branch two:
% 31.10/8.23 | (6441) all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)
% 31.10/8.23 |
% 31.10/8.23 | Applying alpha-rule on (6441) yields:
% 31.10/8.23 | (6442) all_0_141_141 = e20
% 31.10/8.23 | (6443) ~ (all_0_140_140 = e23)
% 31.10/8.23 | (6444) ~ (all_0_142_142 = e20)
% 31.10/8.23 |
% 31.10/8.23 | Equations (7339) can reduce 6444 to:
% 31.10/8.23 | (537) $false
% 31.10/8.23 |
% 31.10/8.23 |-The branch is then unsatisfiable
% 31.10/8.23 |-Branch two:
% 31.10/8.23 | (6447) all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)
% 31.10/8.23 |
% 31.10/8.23 | Applying alpha-rule on (6447) yields:
% 31.10/8.23 | (6448) all_0_144_144 = e23
% 31.10/8.23 | (6449) ~ (all_0_143_143 = e22)
% 31.10/8.23 | (6450) ~ (all_0_145_145 = e23)
% 31.10/8.23 |
% 31.10/8.23 | Combining equations (6448,6506) yields a new equation:
% 31.10/8.23 | (683) e23 = e20
% 31.10/8.23 |
% 31.10/8.23 | Simplifying 683 yields:
% 31.10/8.23 | (684) e23 = e20
% 31.10/8.23 |
% 31.10/8.23 | Equations (684) can reduce 14 to:
% 31.10/8.23 | (537) $false
% 31.10/8.23 |
% 31.10/8.23 |-The branch is then unsatisfiable
% 31.10/8.23 |-Branch two:
% 31.10/8.23 | (6452) all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)
% 31.10/8.23 |
% 31.10/8.23 | Applying alpha-rule on (6452) yields:
% 31.10/8.23 | (6453) all_0_149_149 = e21
% 31.10/8.23 | (6454) ~ (all_0_148_148 = e22)
% 31.10/8.23 | (6455) ~ (all_0_150_150 = e21)
% 31.10/8.23 |
% 31.10/8.23 | Combining equations (8463,6453) yields a new equation:
% 31.10/8.23 | (6913) e22 = e21
% 31.10/8.23 |
% 31.10/8.23 | Simplifying 6913 yields:
% 31.10/8.23 | (6323) e22 = e21
% 31.10/8.23 |
% 31.10/8.23 | Equations (6323) can reduce 92 to:
% 31.10/8.23 | (537) $false
% 31.10/8.23 |
% 31.10/8.23 |-The branch is then unsatisfiable
% 31.10/8.23 |-Branch two:
% 31.10/8.23 | (6458) all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)
% 31.10/8.23 |
% 31.10/8.23 | Applying alpha-rule on (6458) yields:
% 31.10/8.23 | (6459) all_0_152_152 = e20
% 31.10/8.23 | (6460) ~ (all_0_151_151 = e22)
% 31.10/8.23 | (6461) ~ (all_0_153_153 = e20)
% 31.10/8.23 |
% 31.10/8.24 | Combining equations (7124,6459) yields a new equation:
% 31.10/8.24 | (683) e23 = e20
% 31.10/8.24 |
% 31.10/8.24 | Simplifying 683 yields:
% 31.10/8.24 | (684) e23 = e20
% 31.10/8.24 |
% 31.10/8.24 | Equations (684) can reduce 14 to:
% 31.10/8.24 | (537) $false
% 31.10/8.24 |
% 31.10/8.24 |-The branch is then unsatisfiable
% 31.10/8.24 |-Branch two:
% 31.10/8.24 | (6465) all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)
% 31.10/8.24 |
% 31.10/8.24 | Applying alpha-rule on (6465) yields:
% 31.10/8.24 | (6466) all_0_155_155 = e23
% 31.10/8.24 | (6467) ~ (all_0_154_154 = e21)
% 31.10/8.24 | (6468) ~ (all_0_156_156 = e23)
% 31.10/8.24 |
% 31.10/8.24 | Combining equations (6340,6466) yields a new equation:
% 31.10/8.24 | (639) e23 = e22
% 31.10/8.24 |
% 31.10/8.24 | Equations (639) can reduce 449 to:
% 31.10/8.24 | (537) $false
% 31.10/8.24 |
% 31.10/8.24 |-The branch is then unsatisfiable
% 31.10/8.24 |-Branch two:
% 31.10/8.24 | (6471) all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)
% 31.10/8.24 |
% 31.10/8.24 | Applying alpha-rule on (6471) yields:
% 31.10/8.24 | (6472) all_0_158_158 = e22
% 31.10/8.24 | (6473) ~ (all_0_157_157 = e21)
% 31.10/8.24 | (6474) ~ (all_0_159_159 = e22)
% 31.10/8.24 |
% 31.10/8.24 | Combining equations (7185,6472) yields a new equation:
% 31.10/8.24 | (6323) e22 = e21
% 31.10/8.24 |
% 31.10/8.24 | Equations (6323) can reduce 92 to:
% 31.10/8.24 | (537) $false
% 31.10/8.24 |
% 31.10/8.24 |-The branch is then unsatisfiable
% 31.10/8.24 |-Branch two:
% 31.10/8.24 | (6478) all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20)
% 31.10/8.24 |
% 31.10/8.24 | Applying alpha-rule on (6478) yields:
% 31.10/8.24 | (6479) all_0_163_163 = e20
% 31.10/8.24 | (6480) ~ (all_0_162_162 = e21)
% 31.10/8.24 | (6481) ~ (all_0_164_164 = e20)
% 31.10/8.24 |
% 31.10/8.24 | Equations (8122) can reduce 6481 to:
% 31.10/8.24 | (537) $false
% 31.10/8.24 |
% 31.10/8.24 |-The branch is then unsatisfiable
% 31.10/8.24 |-Branch two:
% 31.10/8.24 | (6483) all_0_237_237 = e21 & ~ (all_0_236_236 = e20)
% 31.10/8.24 |
% 31.10/8.24 | Applying alpha-rule on (6483) yields:
% 31.10/8.24 | (523) all_0_237_237 = e21
% 31.10/8.24 | (660) ~ (all_0_236_236 = e20)
% 31.10/8.24 |
% 31.10/8.24 | Combining equations (675,523) yields a new equation:
% 31.10/8.24 | (664) e21 = e20
% 31.10/8.24 |
% 31.10/8.24 | Equations (664) can reduce 401 to:
% 31.10/8.24 | (537) $false
% 31.10/8.24 |
% 31.10/8.24 |-The branch is then unsatisfiable
% 31.10/8.24 |-Branch two:
% 31.10/8.24 | (679) ~ (all_0_237_237 = e20)
% 31.10/8.24 | (680) all_0_241_241 = e20 | all_0_245_245 = e20
% 31.10/8.24 |
% 31.10/8.24 +-Applying beta-rule and splitting (157), into two cases.
% 31.10/8.24 |-Branch one:
% 31.10/8.24 | (651) all_0_235_235 = e20
% 31.10/8.24 |
% 31.10/8.24 | Combining equations (651,633) yields a new equation:
% 31.10/8.24 | (684) e23 = e20
% 31.10/8.24 |
% 31.10/8.24 | Equations (684) can reduce 14 to:
% 31.10/8.24 | (537) $false
% 31.10/8.24 |
% 31.10/8.24 |-The branch is then unsatisfiable
% 31.10/8.24 |-Branch two:
% 31.10/8.24 | (6297) ~ (all_0_235_235 = e20)
% 31.10/8.24 | (6298) all_0_236_236 = e20 | all_0_237_237 = e20
% 31.10/8.24 |
% 31.10/8.24 | Equations (633) can reduce 6297 to:
% 31.10/8.24 | (14) ~ (e23 = e20)
% 31.10/8.24 |
% 31.10/8.24 +-Applying beta-rule and splitting (680), into two cases.
% 31.10/8.24 |-Branch one:
% 31.10/8.24 | (681) all_0_241_241 = e20
% 31.10/8.24 |
% 31.10/8.24 | Combining equations (682,681) yields a new equation:
% 31.10/8.24 | (683) e23 = e20
% 31.10/8.24 |
% 31.10/8.24 | Simplifying 683 yields:
% 31.10/8.24 | (684) e23 = e20
% 31.10/8.24 |
% 31.10/8.24 | Equations (684) can reduce 14 to:
% 31.10/8.24 | (537) $false
% 31.10/8.24 |
% 31.10/8.24 |-The branch is then unsatisfiable
% 31.10/8.24 |-Branch two:
% 31.10/8.24 | (6294) ~ (all_0_241_241 = e20)
% 31.10/8.24 | (6295) all_0_245_245 = e20
% 31.10/8.24 |
% 31.10/8.24 | Combining equations (569,6295) yields a new equation:
% 31.10/8.24 | (663) e21 = e20
% 31.10/8.24 |
% 31.10/8.24 | Simplifying 663 yields:
% 31.10/8.24 | (664) e21 = e20
% 31.10/8.24 |
% 31.10/8.24 | Equations (664) can reduce 401 to:
% 31.10/8.24 | (537) $false
% 31.10/8.24 |
% 31.10/8.24 |-The branch is then unsatisfiable
% 31.10/8.24 |-Branch two:
% 31.10/8.24 | (6308) ~ (all_0_236_236 = e22)
% 31.10/8.24 | (6309) all_0_240_240 = e22 | all_0_244_244 = e22
% 31.10/8.24 |
% 31.10/8.24 +-Applying beta-rule and splitting (6315), into two cases.
% 31.10/8.24 |-Branch one:
% 31.10/8.24 | (647) all_0_235_235 = e22
% 31.10/8.24 |
% 31.10/8.24 | Combining equations (647,633) yields a new equation:
% 31.10/8.24 | (639) e23 = e22
% 31.10/8.24 |
% 31.10/8.24 | Equations (639) can reduce 449 to:
% 31.10/8.24 | (537) $false
% 31.10/8.24 |
% 31.10/8.24 |-The branch is then unsatisfiable
% 31.10/8.24 |-Branch two:
% 31.10/8.24 | (646) ~ (all_0_235_235 = e22)
% 31.10/8.24 | (645) all_0_236_236 = e22
% 31.10/8.24 |
% 31.10/8.24 | Equations (645) can reduce 6308 to:
% 31.10/8.24 | (537) $false
% 31.10/8.24 |
% 31.10/8.24 |-The branch is then unsatisfiable
% 31.10/8.24 |-Branch two:
% 31.10/8.24 | (6287) ~ (all_0_243_243 = e22)
% 31.10/8.24 | (6288) all_0_243_243 = e23 | all_0_243_243 = e20
% 31.10/8.24 |
% 31.10/8.24 +-Applying beta-rule and splitting (452), into two cases.
% 31.10/8.24 |-Branch one:
% 31.10/8.24 | (675) all_0_237_237 = e20
% 31.10/8.24 |
% 31.10/8.24 | Equations (675) can reduce 6941 to:
% 31.10/8.24 | (654) ~ (e21 = e20)
% 31.10/8.24 |
% 31.10/8.24 | Simplifying 654 yields:
% 31.10/8.24 | (401) ~ (e21 = e20)
% 31.10/8.24 |
% 31.10/8.24 +-Applying beta-rule and splitting (6491), into two cases.
% 31.10/8.24 |-Branch one:
% 31.10/8.24 | (667) all_0_244_244 = e20
% 31.10/8.24 |
% 31.10/8.24 | Equations (667) can reduce 362 to:
% 31.10/8.24 | (668) ~ (all_0_243_243 = e20)
% 31.10/8.25 |
% 31.10/8.25 +-Applying beta-rule and splitting (6288), into two cases.
% 31.10/8.25 |-Branch one:
% 31.10/8.25 | (6284) all_0_243_243 = e23
% 31.10/8.25 |
% 31.10/8.25 | Equations (6284) can reduce 688 to:
% 31.10/8.25 | (537) $false
% 31.10/8.25 |
% 31.10/8.25 |-The branch is then unsatisfiable
% 31.10/8.25 |-Branch two:
% 31.10/8.25 | (688) ~ (all_0_243_243 = e23)
% 31.10/8.25 | (6292) all_0_243_243 = e20
% 31.10/8.25 |
% 31.10/8.25 | Equations (6292) can reduce 668 to:
% 31.10/8.25 | (537) $false
% 31.10/8.25 |
% 31.10/8.25 |-The branch is then unsatisfiable
% 31.10/8.25 |-Branch two:
% 31.10/8.25 | (6512) ~ (all_0_244_244 = e20)
% 31.10/8.25 | (6295) all_0_245_245 = e20
% 31.10/8.25 |
% 31.10/8.25 | Combining equations (6295,569) yields a new equation:
% 31.10/8.25 | (664) e21 = e20
% 31.10/8.25 |
% 31.10/8.25 | Equations (664) can reduce 401 to:
% 31.10/8.25 | (537) $false
% 31.10/8.25 |
% 31.10/8.25 |-The branch is then unsatisfiable
% 31.10/8.25 |-Branch two:
% 31.10/8.25 | (679) ~ (all_0_237_237 = e20)
% 31.10/8.25 | (680) all_0_241_241 = e20 | all_0_245_245 = e20
% 31.10/8.25 |
% 31.10/8.25 +-Applying beta-rule and splitting (680), into two cases.
% 31.10/8.25 |-Branch one:
% 31.10/8.25 | (681) all_0_241_241 = e20
% 31.10/8.25 |
% 31.10/8.25 | Combining equations (682,681) yields a new equation:
% 31.10/8.25 | (683) e23 = e20
% 31.10/8.25 |
% 31.10/8.25 | Simplifying 683 yields:
% 31.10/8.25 | (684) e23 = e20
% 31.10/8.25 |
% 31.10/8.25 | Equations (684) can reduce 14 to:
% 31.10/8.25 | (537) $false
% 31.10/8.25 |
% 31.10/8.25 |-The branch is then unsatisfiable
% 31.10/8.25 |-Branch two:
% 31.10/8.25 | (6294) ~ (all_0_241_241 = e20)
% 31.10/8.25 | (6295) all_0_245_245 = e20
% 31.10/8.25 |
% 31.10/8.25 | Combining equations (6295,569) yields a new equation:
% 31.10/8.25 | (664) e21 = e20
% 31.10/8.25 |
% 31.10/8.25 | Equations (664) can reduce 401 to:
% 31.10/8.25 | (537) $false
% 31.10/8.25 |
% 31.10/8.25 |-The branch is then unsatisfiable
% 31.10/8.25 |-Branch two:
% 31.10/8.25 | (6378) ~ (all_0_239_239 = e20)
% 31.10/8.25 | (6392) all_0_240_240 = e20 | all_0_241_241 = e20
% 31.10/8.25 |
% 31.10/8.25 +-Applying beta-rule and splitting (6392), into two cases.
% 31.10/8.25 |-Branch one:
% 31.10/8.25 | (662) all_0_240_240 = e20
% 31.10/8.25 |
% 31.10/8.25 | Combining equations (540,662) yields a new equation:
% 31.10/8.25 | (663) e21 = e20
% 31.10/8.25 |
% 31.10/8.25 | Simplifying 663 yields:
% 31.10/8.25 | (664) e21 = e20
% 31.10/8.25 |
% 31.10/8.25 | Equations (664) can reduce 401 to:
% 31.10/8.25 | (537) $false
% 31.10/8.25 |
% 31.10/8.25 |-The branch is then unsatisfiable
% 31.10/8.25 |-Branch two:
% 31.10/8.25 | (666) ~ (all_0_240_240 = e20)
% 31.10/8.25 | (681) all_0_241_241 = e20
% 31.10/8.25 |
% 31.10/8.25 | Combining equations (681,682) yields a new equation:
% 31.10/8.25 | (684) e23 = e20
% 31.10/8.25 |
% 31.10/8.25 | Equations (684) can reduce 14 to:
% 31.10/8.25 | (537) $false
% 31.10/8.25 |
% 31.10/8.25 |-The branch is then unsatisfiable
% 31.10/8.25 |-Branch two:
% 31.10/8.25 | (6622) ~ (all_0_238_238 = e22)
% 31.10/8.25 | (637) all_0_238_238 = e23
% 31.10/8.25 |
% 31.10/8.25 | Equations (637) can reduce 608 to:
% 31.10/8.25 | (537) $false
% 31.10/8.25 |
% 31.10/8.25 |-The branch is then unsatisfiable
% 31.10/8.25 |-Branch two:
% 31.10/8.25 | (600) ~ (all_0_242_242 = e23)
% 31.10/8.25 | (601) all_0_243_243 = e23 | all_0_245_245 = e23
% 31.10/8.25 |
% 31.10/8.25 +-Applying beta-rule and splitting (6630), into two cases.
% 31.10/8.25 |-Branch one:
% 31.10/8.25 | (637) all_0_238_238 = e23
% 31.10/8.25 |
% 31.10/8.25 | Equations (637) can reduce 608 to:
% 31.10/8.25 | (537) $false
% 31.10/8.25 |
% 31.10/8.25 |-The branch is then unsatisfiable
% 31.10/8.25 |-Branch two:
% 31.10/8.25 | (608) ~ (all_0_238_238 = e23)
% 31.10/8.25 | (596) all_0_242_242 = e23
% 31.10/8.25 |
% 31.10/8.25 | Equations (596) can reduce 600 to:
% 31.10/8.25 | (537) $false
% 31.10/8.25 |
% 31.10/8.25 |-The branch is then unsatisfiable
% 31.10/8.25 |-Branch two:
% 31.10/8.25 | (686) ~ (all_0_241_241 = e23)
% 31.10/8.25 | (687) all_0_245_245 = e23
% 31.10/8.25 |
% 31.10/8.25 | Combining equations (687,569) yields a new equation:
% 31.10/8.25 | (597) e23 = e21
% 31.10/8.25 |
% 31.10/8.25 | Simplifying 597 yields:
% 31.10/8.25 | (590) e23 = e21
% 31.10/8.25 |
% 31.10/8.25 | Equations (590) can reduce 215 to:
% 31.10/8.25 | (537) $false
% 31.10/8.25 |
% 31.10/8.25 |-The branch is then unsatisfiable
% 31.10/8.25 |-Branch two:
% 31.10/8.25 | (606) ~ (all_0_235_235 = e23)
% 31.10/8.25 | (589) all_0_237_237 = e23
% 31.10/8.25 |
% 31.10/8.25 | Equations (589) can reduce 592 to:
% 31.10/8.25 | (537) $false
% 31.10/8.25 |
% 31.10/8.25 |-The branch is then unsatisfiable
% 31.10/8.25 |-Branch two:
% 31.10/8.25 | (6938) ~ (all_0_240_240 = e21)
% 31.10/8.25 | (6992) all_0_240_240 = e22 | all_0_240_240 = e20
% 31.10/8.25 |
% 31.10/8.25 +-Applying beta-rule and splitting (7889), into two cases.
% 31.10/8.25 |-Branch one:
% 31.10/8.25 | (540) all_0_240_240 = e21
% 31.10/8.25 |
% 31.10/8.25 | Equations (540) can reduce 6938 to:
% 31.10/8.25 | (537) $false
% 31.10/8.25 |
% 31.10/8.25 |-The branch is then unsatisfiable
% 31.10/8.25 |-Branch two:
% 31.10/8.25 | (6938) ~ (all_0_240_240 = e21)
% 31.10/8.25 | (581) all_0_244_244 = e21
% 31.10/8.25 |
% 31.10/8.25 | Combining equations (581,7926) yields a new equation:
% 31.10/8.25 | (8909) all_0_97_97 = e21
% 31.10/8.25 |
% 31.10/8.25 | Equations (581) can reduce 225 to:
% 31.10/8.25 | (541) ~ (all_0_236_236 = e21)
% 31.10/8.25 |
% 31.10/8.25 | Equations (581) can reduce 350 to:
% 31.10/8.25 | (6938) ~ (all_0_240_240 = e21)
% 31.10/8.25 |
% 31.10/8.25 | Equations (581) can reduce 27 to:
% 31.10/8.25 | (7898) ~ (all_0_242_242 = e21)
% 31.10/8.25 |
% 31.10/8.25 | Equations (581) can reduce 362 to:
% 31.10/8.25 | (74) ~ (all_0_243_243 = e21)
% 31.10/8.25 |
% 31.10/8.25 | From (581)(581) and (2) follows:
% 31.10/8.25 | (8914) op2(e21, e21) = all_0_64_64
% 31.10/8.25 |
% 31.10/8.25 | From (581) and (443) follows:
% 31.10/8.25 | (8915) op2(e21, e21) = all_0_160_160
% 31.10/8.25 |
% 31.10/8.25 | From (581) and (197) follows:
% 31.10/8.25 | (8916) op2(e23, e21) = all_0_126_126
% 31.10/8.25 |
% 31.10/8.25 | From (581) and (13) follows:
% 31.10/8.25 | (8917) op2(e22, e21) = all_0_127_127
% 31.10/8.25 |
% 31.10/8.25 | From (581) and (267) follows:
% 31.10/8.25 | (8918) op2(e21, e21) = all_0_161_161
% 31.10/8.25 |
% 31.10/8.25 | From (581) and (139) follows:
% 31.10/8.26 | (8919) op2(e21, e21) = e21
% 31.10/8.26 |
% 31.10/8.26 | From (581) and (442) follows:
% 31.10/8.26 | (8920) op2(e20, e21) = all_0_128_128
% 31.10/8.26 |
% 31.10/8.26 +-Applying beta-rule and splitting (539), into two cases.
% 31.10/8.26 |-Branch one:
% 31.10/8.26 | (540) all_0_240_240 = e21
% 31.10/8.26 |
% 31.10/8.26 | Equations (540) can reduce 6938 to:
% 31.10/8.26 | (537) $false
% 31.10/8.26 |
% 31.10/8.26 |-The branch is then unsatisfiable
% 31.10/8.26 |-Branch two:
% 31.10/8.26 | (6938) ~ (all_0_240_240 = e21)
% 31.10/8.26 | (585) all_0_241_241 = e21
% 31.10/8.26 |
% 31.10/8.26 | Equations (585) can reduce 265 to:
% 31.10/8.26 | (502) ~ (all_0_238_238 = e21)
% 31.10/8.26 |
% 31.10/8.26 | Equations (585) can reduce 379 to:
% 31.10/8.26 | (18) ~ (all_0_239_239 = e21)
% 31.10/8.26 |
% 31.10/8.26 | Equations (585) can reduce 186 to:
% 31.10/8.26 | (6938) ~ (all_0_240_240 = e21)
% 31.10/8.26 |
% 31.10/8.26 | Equations (585) can reduce 137 to:
% 31.10/8.26 | (505) ~ (all_0_245_245 = e21)
% 31.10/8.26 |
% 31.10/8.26 | Simplifying 505 yields:
% 31.10/8.26 | (506) ~ (all_0_245_245 = e21)
% 31.10/8.26 |
% 31.10/8.26 | From (585) and (463) follows:
% 31.10/8.26 | (6954) op2(e21, e22) = all_0_152_152
% 31.10/8.26 |
% 31.10/8.26 | From (585) and (277) follows:
% 31.10/8.26 | (6955) op2(e23, e21) = all_0_117_117
% 31.10/8.26 |
% 31.10/8.26 | From (585) and (172) follows:
% 31.10/8.26 | (6956) op2(e22, e21) = all_0_153_153
% 31.10/8.26 |
% 31.10/8.26 | From (585) and (336) follows:
% 31.10/8.26 | (6957) op2(e22, e20) = e21
% 31.10/8.26 |
% 31.10/8.26 | From (585) and (269) follows:
% 31.10/8.26 | (8934) op2(e21, e21) = all_0_118_118
% 31.10/8.26 |
% 31.10/8.26 | From (585) and (229) follows:
% 31.10/8.26 | (6958) op2(e20, e21) = all_0_119_119
% 31.10/8.26 |
% 31.10/8.26 | Instantiating formula (340) with e23, e21, all_0_117_117, all_0_236_236 and discharging atoms op2(e23, e21) = all_0_117_117, op2(e23, e21) = all_0_236_236, yields:
% 31.10/8.26 | (8936) all_0_117_117 = all_0_236_236
% 31.10/8.26 |
% 31.10/8.26 | Instantiating formula (340) with e23, e21, all_0_126_126, all_0_117_117 and discharging atoms op2(e23, e21) = all_0_117_117, op2(e23, e21) = all_0_126_126, yields:
% 31.10/8.26 | (8937) all_0_117_117 = all_0_126_126
% 31.10/8.26 |
% 31.10/8.26 | Instantiating formula (340) with e22, e21, all_0_127_127, all_0_240_240 and discharging atoms op2(e22, e21) = all_0_127_127, op2(e22, e21) = all_0_240_240, yields:
% 31.10/8.26 | (8938) all_0_127_127 = all_0_240_240
% 31.10/8.26 |
% 31.10/8.26 | Instantiating formula (340) with e22, e21, all_0_153_153, all_0_127_127 and discharging atoms op2(e22, e21) = all_0_127_127, op2(e22, e21) = all_0_153_153, yields:
% 31.10/8.26 | (8939) all_0_127_127 = all_0_153_153
% 31.10/8.26 |
% 31.10/8.26 | Instantiating formula (340) with e21, e22, all_0_152_152, all_0_243_243 and discharging atoms op2(e21, e22) = all_0_152_152, op2(e21, e22) = all_0_243_243, yields:
% 31.10/8.26 | (6978) all_0_152_152 = all_0_243_243
% 31.10/8.26 |
% 31.10/8.26 | Instantiating formula (340) with e21, e21, all_0_118_118, all_0_64_64 and discharging atoms op2(e21, e21) = all_0_64_64, op2(e21, e21) = all_0_118_118, yields:
% 31.10/8.26 | (8941) all_0_64_64 = all_0_118_118
% 31.10/8.26 |
% 31.10/8.26 | Instantiating formula (340) with e21, e21, all_0_160_160, all_0_64_64 and discharging atoms op2(e21, e21) = all_0_64_64, op2(e21, e21) = all_0_160_160, yields:
% 31.10/8.26 | (8942) all_0_64_64 = all_0_160_160
% 31.10/8.26 |
% 31.10/8.26 | Instantiating formula (340) with e21, e21, all_0_161_161, all_0_118_118 and discharging atoms op2(e21, e21) = all_0_118_118, op2(e21, e21) = all_0_161_161, yields:
% 31.10/8.26 | (8943) all_0_118_118 = all_0_161_161
% 31.10/8.26 |
% 31.10/8.26 | Instantiating formula (340) with e21, e21, e21, all_0_118_118 and discharging atoms op2(e21, e21) = all_0_118_118, op2(e21, e21) = e21, yields:
% 31.10/8.26 | (8944) all_0_118_118 = e21
% 31.10/8.26 |
% 31.10/8.26 | Instantiating formula (340) with e20, e21, all_0_119_119, e23 and discharging atoms op2(e20, e21) = all_0_119_119, op2(e20, e21) = e23, yields:
% 31.10/8.26 | (6983) all_0_119_119 = e23
% 31.10/8.26 |
% 31.10/8.26 | Instantiating formula (340) with e20, e21, all_0_128_128, all_0_119_119 and discharging atoms op2(e20, e21) = all_0_119_119, op2(e20, e21) = all_0_128_128, yields:
% 31.10/8.26 | (8946) all_0_119_119 = all_0_128_128
% 31.10/8.26 |
% 31.10/8.26 | Combining equations (8941,8942) yields a new equation:
% 31.10/8.26 | (8947) all_0_118_118 = all_0_160_160
% 31.10/8.26 |
% 31.10/8.26 | Simplifying 8947 yields:
% 31.10/8.26 | (8948) all_0_118_118 = all_0_160_160
% 31.10/8.26 |
% 31.10/8.26 | Combining equations (8936,8937) yields a new equation:
% 31.10/8.26 | (8949) all_0_126_126 = all_0_236_236
% 31.10/8.26 |
% 31.10/8.26 | Combining equations (8943,8948) yields a new equation:
% 31.10/8.26 | (8950) all_0_160_160 = all_0_161_161
% 31.10/8.26 |
% 31.10/8.26 | Combining equations (8944,8948) yields a new equation:
% 31.10/8.26 | (8951) all_0_160_160 = e21
% 31.10/8.26 |
% 31.10/8.26 | Combining equations (6983,8946) yields a new equation:
% 31.10/8.27 | (8952) all_0_128_128 = e23
% 31.10/8.27 |
% 31.10/8.27 | Combining equations (8938,8939) yields a new equation:
% 31.10/8.27 | (6982) all_0_153_153 = all_0_240_240
% 31.10/8.27 |
% 31.10/8.27 | Combining equations (8951,8950) yields a new equation:
% 31.10/8.27 | (8954) all_0_161_161 = e21
% 31.10/8.27 |
% 31.10/8.27 | Combining equations (8954,8950) yields a new equation:
% 31.10/8.27 | (8951) all_0_160_160 = e21
% 31.10/8.27 |
% 31.10/8.27 | Combining equations (8951,8948) yields a new equation:
% 31.10/8.27 | (8944) all_0_118_118 = e21
% 31.10/8.27 |
% 31.10/8.27 | From (8949) and (8916) follows:
% 31.10/8.27 | (451) op2(e23, e21) = all_0_236_236
% 31.10/8.27 |
% 31.10/8.27 | From (6982) and (6956) follows:
% 31.10/8.27 | (473) op2(e22, e21) = all_0_240_240
% 31.10/8.27 |
% 31.10/8.27 | From (8952) and (8920) follows:
% 31.10/8.27 | (323) op2(e20, e21) = e23
% 31.10/8.27 |
% 31.10/8.27 +-Applying beta-rule and splitting (290), into two cases.
% 31.10/8.27 |-Branch one:
% 31.10/8.27 | (569) all_0_245_245 = e21
% 31.10/8.27 |
% 31.10/8.27 | Equations (569) can reduce 506 to:
% 31.10/8.27 | (537) $false
% 31.10/8.27 |
% 31.10/8.27 |-The branch is then unsatisfiable
% 31.10/8.27 |-Branch two:
% 31.10/8.27 | (506) ~ (all_0_245_245 = e21)
% 31.10/8.27 | (572) all_0_245_245 = e23 | all_0_245_245 = e20
% 31.10/8.27 |
% 31.10/8.27 +-Applying beta-rule and splitting (204), into two cases.
% 31.10/8.27 |-Branch one:
% 31.10/8.27 | (589) all_0_237_237 = e23
% 31.10/8.27 |
% 31.10/8.27 | Equations (589) can reduce 447 to:
% 31.10/8.27 | (606) ~ (all_0_235_235 = e23)
% 31.10/8.27 |
% 31.10/8.27 | Equations (589) can reduce 159 to:
% 31.10/8.27 | (425) ~ (all_0_236_236 = e23)
% 31.10/8.27 |
% 31.10/8.27 | Equations (589) can reduce 418 to:
% 31.10/8.27 | (6500) ~ (all_0_245_245 = e23)
% 31.10/8.27 |
% 31.10/8.27 | Simplifying 6500 yields:
% 31.10/8.27 | (6501) ~ (all_0_245_245 = e23)
% 31.10/8.27 |
% 31.10/8.27 | From (589) and (268) follows:
% 31.10/8.27 | (7105) op2(e23, e23) = all_0_141_141
% 31.10/8.27 |
% 31.10/8.27 | From (589) and (279) follows:
% 31.10/8.27 | (8970) op2(e22, e23) = all_0_105_105
% 31.10/8.27 |
% 31.10/8.27 | From (589) and (201) follows:
% 31.10/8.27 | (7107) op2(e20, e23) = all_0_107_107
% 31.10/8.27 |
% 31.10/8.27 +-Applying beta-rule and splitting (572), into two cases.
% 31.10/8.27 |-Branch one:
% 31.10/8.27 | (687) all_0_245_245 = e23
% 31.10/8.27 |
% 31.10/8.27 | Equations (687) can reduce 6501 to:
% 31.10/8.27 | (537) $false
% 31.10/8.27 |
% 31.10/8.27 |-The branch is then unsatisfiable
% 31.10/8.27 |-Branch two:
% 31.10/8.27 | (6501) ~ (all_0_245_245 = e23)
% 31.10/8.27 | (6295) all_0_245_245 = e20
% 31.10/8.27 |
% 31.10/8.27 | Equations (6295) can reduce 44 to:
% 31.10/8.27 | (266) ~ (all_0_242_242 = e20)
% 31.10/8.27 |
% 31.10/8.27 | Equations (6295) can reduce 154 to:
% 31.10/8.27 | (668) ~ (all_0_243_243 = e20)
% 31.10/8.27 |
% 31.10/8.27 | From (6295) and (110) follows:
% 31.10/8.27 | (6521) op2(e20, e21) = all_0_163_163
% 31.10/8.27 |
% 31.10/8.27 | From (6295) and (164) follows:
% 31.10/8.27 | (7155) op2(e22, e20) = all_0_130_130
% 31.10/8.27 |
% 31.10/8.27 | Instantiating formula (340) with e23, e23, all_0_141_141, e21 and discharging atoms op2(e23, e23) = all_0_141_141, op2(e23, e23) = e21, yields:
% 31.10/8.27 | (555) all_0_141_141 = e21
% 31.10/8.27 |
% 31.10/8.27 | Instantiating formula (340) with e22, e23, all_0_105_105, all_0_238_238 and discharging atoms op2(e22, e23) = all_0_105_105, op2(e22, e23) = all_0_238_238, yields:
% 31.10/8.27 | (8981) all_0_105_105 = all_0_238_238
% 31.10/8.27 |
% 31.10/8.27 | Instantiating formula (340) with e22, e20, all_0_130_130, e21 and discharging atoms op2(e22, e20) = all_0_130_130, op2(e22, e20) = e21, yields:
% 31.10/8.27 | (7195) all_0_130_130 = e21
% 31.10/8.27 |
% 31.10/8.27 | Instantiating formula (340) with e20, e23, all_0_107_107, e20 and discharging atoms op2(e20, e23) = all_0_107_107, op2(e20, e23) = e20, yields:
% 31.10/8.27 | (7189) all_0_107_107 = e20
% 31.10/8.27 |
% 31.10/8.27 | Instantiating formula (340) with e20, e21, all_0_163_163, e23 and discharging atoms op2(e20, e21) = all_0_163_163, op2(e20, e21) = e23, yields:
% 31.10/8.27 | (6530) all_0_163_163 = e23
% 31.10/8.27 |
% 31.10/8.27 | From (8981) and (8970) follows:
% 31.10/8.27 | (171) op2(e22, e23) = all_0_238_238
% 31.10/8.27 |
% 31.10/8.27 | From (7195) and (7155) follows:
% 31.10/8.27 | (6957) op2(e22, e20) = e21
% 31.10/8.27 |
% 31.10/8.27 | From (7189) and (7107) follows:
% 31.10/8.28 | (253) op2(e20, e23) = e20
% 31.10/8.28 |
% 31.10/8.28 +-Applying beta-rule and splitting (448), into two cases.
% 31.10/8.28 |-Branch one:
% 31.10/8.28 | (633) all_0_235_235 = e23
% 31.10/8.28 |
% 31.10/8.28 | Equations (633) can reduce 606 to:
% 31.10/8.28 | (537) $false
% 31.10/8.28 |
% 31.10/8.28 |-The branch is then unsatisfiable
% 31.10/8.28 |-Branch two:
% 31.10/8.28 | (606) ~ (all_0_235_235 = e23)
% 31.10/8.28 | (636) all_0_239_239 = e23 | all_0_243_243 = e23
% 31.10/8.28 |
% 31.10/8.28 +-Applying beta-rule and splitting (332), into two cases.
% 31.10/8.28 |-Branch one:
% 31.10/8.28 | (647) all_0_235_235 = e22
% 31.10/8.28 |
% 31.10/8.28 | Equations (647) can reduce 107 to:
% 31.10/8.28 | (6639) ~ (all_0_236_236 = e22)
% 31.10/8.28 |
% 31.10/8.28 | Simplifying 6639 yields:
% 31.10/8.28 | (6308) ~ (all_0_236_236 = e22)
% 31.10/8.28 |
% 31.10/8.28 | Equations (647) can reduce 212 to:
% 31.10/8.28 | (6663) ~ (all_0_243_243 = e22)
% 31.10/8.28 |
% 31.10/8.28 | Simplifying 6663 yields:
% 31.10/8.28 | (6287) ~ (all_0_243_243 = e22)
% 31.10/8.28 |
% 31.10/8.28 | From (647) and (325) follows:
% 31.10/8.28 | (8997) op2(e22, e23) = all_0_135_135
% 31.10/8.28 |
% 31.10/8.28 | From (647) and (220) follows:
% 31.10/8.28 | (7660) op2(e22, e22) = all_0_134_134
% 31.10/8.28 |
% 31.10/8.28 | From (647) and (313) follows:
% 31.10/8.28 | (6320) op2(e23, e22) = all_0_136_136
% 31.10/8.28 |
% 31.10/8.28 | From (647) and (436) follows:
% 31.10/8.28 | (6321) op2(e23, e22) = e22
% 31.10/8.28 |
% 31.10/8.28 | From (647) and (163) follows:
% 31.10/8.28 | (7663) op2(e22, e22) = all_0_99_99
% 31.10/8.28 |
% 31.10/8.28 +-Applying beta-rule and splitting (394), into two cases.
% 31.10/8.28 |-Branch one:
% 31.10/8.28 | (689) all_0_243_243 = e22
% 31.10/8.28 |
% 31.10/8.28 | Equations (689) can reduce 6287 to:
% 31.10/8.28 | (537) $false
% 31.10/8.28 |
% 31.10/8.28 |-The branch is then unsatisfiable
% 31.10/8.28 |-Branch two:
% 31.10/8.28 | (6287) ~ (all_0_243_243 = e22)
% 31.10/8.28 | (6288) all_0_243_243 = e23 | all_0_243_243 = e20
% 31.10/8.28 |
% 31.10/8.28 +-Applying beta-rule and splitting (6288), into two cases.
% 31.10/8.28 |-Branch one:
% 31.10/8.28 | (6284) all_0_243_243 = e23
% 31.10/8.28 |
% 31.10/8.28 | Combining equations (6284,6978) yields a new equation:
% 31.10/8.28 | (7124) all_0_152_152 = e23
% 31.10/8.28 |
% 31.10/8.28 | Equations (6284) can reduce 392 to:
% 31.10/8.28 | (600) ~ (all_0_242_242 = e23)
% 31.10/8.28 |
% 31.10/8.28 | From (6284) and (373) follows:
% 31.10/8.28 | (6503) op2(e23, e22) = all_0_157_157
% 31.10/8.28 |
% 31.10/8.28 | From (6284) and (258) follows:
% 31.21/8.28 | (6504) op2(e23, e21) = all_0_158_158
% 31.21/8.28 |
% 31.21/8.28 | From (6284) and (30) follows:
% 31.21/8.28 | (9011) op2(e22, e23) = all_0_124_124
% 31.21/8.28 |
% 31.21/8.28 | From (6284) and (467) follows:
% 31.21/8.28 | (7131) op2(e20, e23) = all_0_125_125
% 31.21/8.28 |
% 31.21/8.28 +-Applying beta-rule and splitting (397), into two cases.
% 31.21/8.28 |-Branch one:
% 31.21/8.28 | (637) all_0_238_238 = e23
% 31.21/8.28 |
% 31.21/8.28 | Equations (637) can reduce 306 to:
% 31.21/8.28 | (7044) ~ (all_0_240_240 = e23)
% 31.21/8.28 |
% 31.21/8.28 | Simplifying 7044 yields:
% 31.21/8.28 | (327) ~ (all_0_240_240 = e23)
% 31.21/8.28 |
% 31.21/8.28 | Equations (637) can reduce 66 to:
% 31.21/8.28 | (9016) ~ (all_0_242_242 = e23)
% 31.21/8.28 |
% 31.21/8.28 | Simplifying 9016 yields:
% 31.21/8.28 | (600) ~ (all_0_242_242 = e23)
% 31.21/8.28 |
% 31.21/8.28 | Equations (637) can reduce 502 to:
% 31.21/8.28 | (215) ~ (e23 = e21)
% 31.21/8.28 |
% 31.21/8.28 | Equations (637) can reduce 208 to:
% 31.21/8.28 | (14) ~ (e23 = e20)
% 31.21/8.28 |
% 31.21/8.28 | From (637) and (133) follows:
% 31.21/8.28 | (6635) op2(e23, e22) = all_0_144_144
% 31.21/8.28 |
% 31.21/8.28 | From (637) and (235) follows:
% 31.21/8.28 | (7051) op2(e22, e23) = all_0_145_145
% 31.21/8.28 |
% 31.21/8.28 | From (637) and (171) follows:
% 31.21/8.28 | (7052) op2(e22, e23) = e23
% 31.21/8.28 |
% 31.21/8.28 | From (637) and (393) follows:
% 31.21/8.28 | (6637) op2(e20, e23) = all_0_110_110
% 31.21/8.28 |
% 31.21/8.28 +-Applying beta-rule and splitting (254), into two cases.
% 31.21/8.28 |-Branch one:
% 31.21/8.28 | (6322) all_0_242_242 = e22
% 31.21/8.28 |
% 31.21/8.28 | Equations (6322) can reduce 7898 to:
% 31.21/8.28 | (92) ~ (e22 = e21)
% 31.21/8.28 |
% 31.21/8.28 | Equations (6322) can reduce 266 to:
% 31.21/8.28 | (294) ~ (e22 = e20)
% 31.21/8.28 |
% 31.21/8.28 | From (6322) and (302) follows:
% 31.21/8.28 | (9027) op2(e22, e23) = all_0_154_154
% 31.21/8.28 |
% 31.21/8.28 | From (6322) and (97) follows:
% 31.21/8.28 | (8135) op2(e22, e21) = all_0_155_155
% 31.21/8.28 |
% 31.21/8.28 | From (6322) and (165) follows:
% 31.21/8.28 | (9029) op2(e23, e22) = all_0_120_120
% 31.21/8.28 |
% 31.21/8.28 | From (6322) and (135) follows:
% 31.21/8.29 | (9030) op2(e22, e22) = all_0_121_121
% 31.21/8.29 |
% 31.21/8.29 +-Applying beta-rule and splitting (191), into two cases.
% 31.21/8.29 |-Branch one:
% 31.21/8.29 | (645) all_0_236_236 = e22
% 31.21/8.29 |
% 31.21/8.29 | Equations (645) can reduce 6308 to:
% 31.21/8.29 | (537) $false
% 31.21/8.29 |
% 31.21/8.29 |-The branch is then unsatisfiable
% 31.21/8.29 |-Branch two:
% 31.21/8.29 | (6308) ~ (all_0_236_236 = e22)
% 31.21/8.29 | (6309) all_0_240_240 = e22 | all_0_244_244 = e22
% 31.21/8.29 |
% 31.21/8.29 +-Applying beta-rule and splitting (157), into two cases.
% 31.21/8.29 |-Branch one:
% 31.21/8.29 | (651) all_0_235_235 = e20
% 31.21/8.29 |
% 31.21/8.29 | Combining equations (647,651) yields a new equation:
% 31.21/8.29 | (657) e22 = e20
% 31.21/8.29 |
% 31.21/8.29 | Simplifying 657 yields:
% 31.21/8.29 | (658) e22 = e20
% 31.21/8.29 |
% 31.21/8.29 | Equations (658) can reduce 294 to:
% 31.21/8.29 | (537) $false
% 31.21/8.29 |
% 31.21/8.29 |-The branch is then unsatisfiable
% 31.21/8.29 |-Branch two:
% 31.21/8.29 | (6297) ~ (all_0_235_235 = e20)
% 31.21/8.29 | (6298) all_0_236_236 = e20 | all_0_237_237 = e20
% 31.21/8.29 |
% 31.21/8.29 | Equations (647) can reduce 6297 to:
% 31.21/8.29 | (294) ~ (e22 = e20)
% 31.21/8.29 |
% 31.21/8.29 +-Applying beta-rule and splitting (365), into two cases.
% 31.21/8.29 |-Branch one:
% 31.21/8.29 | (651) all_0_235_235 = e20
% 31.21/8.29 |
% 31.21/8.29 | Combining equations (647,651) yields a new equation:
% 31.21/8.29 | (657) e22 = e20
% 31.21/8.29 |
% 31.21/8.29 | Simplifying 657 yields:
% 31.21/8.29 | (658) e22 = e20
% 31.21/8.29 |
% 31.21/8.29 | Equations (658) can reduce 294 to:
% 31.21/8.29 | (537) $false
% 31.21/8.29 |
% 31.21/8.29 |-The branch is then unsatisfiable
% 31.21/8.29 |-Branch two:
% 31.21/8.29 | (6297) ~ (all_0_235_235 = e20)
% 31.21/8.29 | (6497) all_0_239_239 = e20 | all_0_243_243 = e20
% 31.21/8.29 |
% 31.21/8.29 +-Applying beta-rule and splitting (6497), into two cases.
% 31.21/8.29 |-Branch one:
% 31.21/8.29 | (6389) all_0_239_239 = e20
% 31.21/8.29 |
% 31.21/8.29 | Equations (6389) can reduce 84 to:
% 31.21/8.29 | (7380) ~ (all_0_240_240 = e20)
% 31.21/8.29 |
% 31.21/8.29 | Simplifying 7380 yields:
% 31.21/8.29 | (666) ~ (all_0_240_240 = e20)
% 31.21/8.29 |
% 31.21/8.29 | Equations (6389) can reduce 18 to:
% 31.21/8.29 | (654) ~ (e21 = e20)
% 31.21/8.29 |
% 31.21/8.29 | Simplifying 654 yields:
% 31.21/8.29 | (401) ~ (e21 = e20)
% 31.21/8.29 |
% 31.21/8.29 | From (6389) and (256) follows:
% 31.21/8.29 | (7388) op2(e22, e22) = e20
% 31.21/8.29 |
% 31.21/8.29 +-Applying beta-rule and splitting (324), into two cases.
% 31.21/8.29 |-Branch one:
% 31.21/8.29 | (656) all_0_236_236 = e20
% 31.21/8.29 |
% 31.21/8.29 | Equations (656) can reduce 79 to:
% 31.21/8.29 | (7380) ~ (all_0_240_240 = e20)
% 31.21/8.29 |
% 31.21/8.29 | Simplifying 7380 yields:
% 31.21/8.29 | (666) ~ (all_0_240_240 = e20)
% 31.21/8.29 |
% 31.21/8.29 | Equations (656) can reduce 425 to:
% 31.21/8.29 | (671) ~ (e23 = e20)
% 31.21/8.29 |
% 31.21/8.29 | Simplifying 671 yields:
% 31.21/8.29 | (14) ~ (e23 = e20)
% 31.21/8.29 |
% 31.21/8.29 | Equations (656) can reduce 541 to:
% 31.21/8.29 | (654) ~ (e21 = e20)
% 31.21/8.29 |
% 31.21/8.29 | Simplifying 654 yields:
% 31.21/8.29 | (401) ~ (e21 = e20)
% 31.21/8.29 |
% 31.21/8.29 | From (656) and (285) follows:
% 31.21/8.29 | (6350) op2(e20, e23) = all_0_138_138
% 31.21/8.29 |
% 31.21/8.29 | From (656) and (451) follows:
% 31.21/8.29 | (6353) op2(e23, e21) = e20
% 31.21/8.29 |
% 31.21/8.29 +-Applying beta-rule and splitting (6992), into two cases.
% 31.21/8.29 |-Branch one:
% 31.21/8.29 | (6335) all_0_240_240 = e22
% 31.21/8.29 |
% 31.21/8.29 | Equations (6335) can reduce 327 to:
% 31.21/8.29 | (613) ~ (e23 = e22)
% 31.21/8.29 |
% 31.21/8.29 | Simplifying 613 yields:
% 31.21/8.29 | (449) ~ (e23 = e22)
% 31.21/8.29 |
% 31.21/8.29 | Equations (6335) can reduce 666 to:
% 31.21/8.29 | (294) ~ (e22 = e20)
% 31.21/8.29 |
% 31.21/8.29 | From (6335) and (426) follows:
% 31.21/8.29 | (7396) op2(e22, e22) = all_0_149_149
% 31.21/8.29 |
% 31.21/8.29 | From (6335) and (5) follows:
% 31.21/8.29 | (9068) op2(e22, e21) = all_0_148_148
% 31.21/8.29 |
% 31.21/8.29 | From (6335) and (105) follows:
% 31.21/8.29 | (9069) op2(e23, e22) = all_0_114_114
% 31.21/8.29 |
% 31.21/8.29 | From (6335) and (359) follows:
% 31.21/8.29 | (9070) op2(e22, e22) = all_0_150_150
% 31.21/8.29 |
% 31.21/8.29 | From (6335) and (473) follows:
% 31.21/8.29 | (9071) op2(e22, e21) = e22
% 31.21/8.29 |
% 31.21/8.29 | Instantiating formula (340) with e23, e22, all_0_136_136, all_0_114_114 and discharging atoms op2(e23, e22) = all_0_114_114, op2(e23, e22) = all_0_136_136, yields:
% 31.21/8.29 | (9072) all_0_114_114 = all_0_136_136
% 31.21/8.29 |
% 31.21/8.29 | Instantiating formula (340) with e23, e22, all_0_136_136, all_0_120_120 and discharging atoms op2(e23, e22) = all_0_120_120, op2(e23, e22) = all_0_136_136, yields:
% 31.21/8.29 | (9073) all_0_120_120 = all_0_136_136
% 31.21/8.29 |
% 31.21/8.29 | Instantiating formula (340) with e23, e22, all_0_144_144, all_0_120_120 and discharging atoms op2(e23, e22) = all_0_120_120, op2(e23, e22) = all_0_144_144, yields:
% 31.21/8.29 | (9074) all_0_120_120 = all_0_144_144
% 31.21/8.29 |
% 31.21/8.29 | Instantiating formula (340) with e23, e22, all_0_157_157, all_0_114_114 and discharging atoms op2(e23, e22) = all_0_114_114, op2(e23, e22) = all_0_157_157, yields:
% 31.21/8.29 | (9075) all_0_114_114 = all_0_157_157
% 31.21/8.29 |
% 31.21/8.29 | Instantiating formula (340) with e23, e22, e22, all_0_136_136 and discharging atoms op2(e23, e22) = all_0_136_136, op2(e23, e22) = e22, yields:
% 31.21/8.29 | (6354) all_0_136_136 = e22
% 31.21/8.29 |
% 31.21/8.29 | Instantiating formula (340) with e23, e21, e20, all_0_158_158 and discharging atoms op2(e23, e21) = all_0_158_158, op2(e23, e21) = e20, yields:
% 31.21/8.29 | (6529) all_0_158_158 = e20
% 31.21/8.29 |
% 31.21/8.29 | Instantiating formula (340) with e22, e23, all_0_145_145, all_0_124_124 and discharging atoms op2(e22, e23) = all_0_124_124, op2(e22, e23) = all_0_145_145, yields:
% 31.21/8.29 | (9078) all_0_124_124 = all_0_145_145
% 31.21/8.29 |
% 31.21/8.29 | Instantiating formula (340) with e22, e23, all_0_145_145, all_0_135_135 and discharging atoms op2(e22, e23) = all_0_135_135, op2(e22, e23) = all_0_145_145, yields:
% 31.21/8.30 | (9079) all_0_135_135 = all_0_145_145
% 31.21/8.30 |
% 31.21/8.30 | Instantiating formula (340) with e22, e23, all_0_154_154, all_0_135_135 and discharging atoms op2(e22, e23) = all_0_135_135, op2(e22, e23) = all_0_154_154, yields:
% 31.21/8.30 | (9080) all_0_135_135 = all_0_154_154
% 31.21/8.30 |
% 31.21/8.30 | Instantiating formula (340) with e22, e23, e23, all_0_124_124 and discharging atoms op2(e22, e23) = all_0_124_124, op2(e22, e23) = e23, yields:
% 31.21/8.30 | (9081) all_0_124_124 = e23
% 31.21/8.30 |
% 31.21/8.30 | Instantiating formula (340) with e22, e22, all_0_134_134, all_0_121_121 and discharging atoms op2(e22, e22) = all_0_121_121, op2(e22, e22) = all_0_134_134, yields:
% 31.21/8.30 | (9082) all_0_121_121 = all_0_134_134
% 31.21/8.30 |
% 31.21/8.30 | Instantiating formula (340) with e22, e22, all_0_149_149, all_0_99_99 and discharging atoms op2(e22, e22) = all_0_99_99, op2(e22, e22) = all_0_149_149, yields:
% 31.21/8.30 | (9083) all_0_99_99 = all_0_149_149
% 31.21/8.30 |
% 31.21/8.30 | Instantiating formula (340) with e22, e22, all_0_149_149, all_0_121_121 and discharging atoms op2(e22, e22) = all_0_121_121, op2(e22, e22) = all_0_149_149, yields:
% 31.21/8.30 | (9084) all_0_121_121 = all_0_149_149
% 31.21/8.30 |
% 31.21/8.30 | Instantiating formula (340) with e22, e22, all_0_150_150, all_0_121_121 and discharging atoms op2(e22, e22) = all_0_121_121, op2(e22, e22) = all_0_150_150, yields:
% 31.21/8.30 | (9085) all_0_121_121 = all_0_150_150
% 31.21/8.30 |
% 31.21/8.30 | Instantiating formula (340) with e22, e22, e20, all_0_99_99 and discharging atoms op2(e22, e22) = all_0_99_99, op2(e22, e22) = e20, yields:
% 31.21/8.30 | (9086) all_0_99_99 = e20
% 31.21/8.30 |
% 31.21/8.30 | Instantiating formula (340) with e22, e21, all_0_155_155, all_0_148_148 and discharging atoms op2(e22, e21) = all_0_148_148, op2(e22, e21) = all_0_155_155, yields:
% 31.21/8.30 | (9087) all_0_148_148 = all_0_155_155
% 31.21/8.30 |
% 31.21/8.30 | Instantiating formula (340) with e22, e21, e22, all_0_148_148 and discharging atoms op2(e22, e21) = all_0_148_148, op2(e22, e21) = e22, yields:
% 31.21/8.30 | (9088) all_0_148_148 = e22
% 31.21/8.30 |
% 31.21/8.30 | Instantiating formula (340) with e20, e23, all_0_125_125, e20 and discharging atoms op2(e20, e23) = all_0_125_125, op2(e20, e23) = e20, yields:
% 31.21/8.30 | (7197) all_0_125_125 = e20
% 31.21/8.30 |
% 31.21/8.30 | Instantiating formula (340) with e20, e23, all_0_125_125, all_0_110_110 and discharging atoms op2(e20, e23) = all_0_110_110, op2(e20, e23) = all_0_125_125, yields:
% 31.21/8.30 | (9090) all_0_110_110 = all_0_125_125
% 31.21/8.30 |
% 31.21/8.30 | Instantiating formula (340) with e20, e23, all_0_138_138, all_0_110_110 and discharging atoms op2(e20, e23) = all_0_110_110, op2(e20, e23) = all_0_138_138, yields:
% 31.21/8.30 | (6745) all_0_110_110 = all_0_138_138
% 31.21/8.30 |
% 31.21/8.30 | Combining equations (9083,9086) yields a new equation:
% 31.21/8.30 | (9092) all_0_149_149 = e20
% 31.21/8.30 |
% 31.21/8.30 | Simplifying 9092 yields:
% 31.21/8.30 | (6377) all_0_149_149 = e20
% 31.21/8.30 |
% 31.21/8.30 | Combining equations (9090,6745) yields a new equation:
% 31.21/8.30 | (9094) all_0_125_125 = all_0_138_138
% 31.21/8.30 |
% 31.21/8.30 | Simplifying 9094 yields:
% 31.21/8.30 | (9095) all_0_125_125 = all_0_138_138
% 31.21/8.30 |
% 31.21/8.30 | Combining equations (9072,9075) yields a new equation:
% 31.21/8.30 | (9096) all_0_136_136 = all_0_157_157
% 31.21/8.30 |
% 31.21/8.30 | Simplifying 9096 yields:
% 31.21/8.30 | (9097) all_0_136_136 = all_0_157_157
% 31.21/8.30 |
% 31.21/8.30 | Combining equations (9073,9074) yields a new equation:
% 31.21/8.30 | (9098) all_0_136_136 = all_0_144_144
% 31.21/8.30 |
% 31.21/8.30 | Simplifying 9098 yields:
% 31.21/8.30 | (9099) all_0_136_136 = all_0_144_144
% 31.21/8.30 |
% 31.21/8.30 | Combining equations (9085,9082) yields a new equation:
% 31.21/8.30 | (9100) all_0_134_134 = all_0_150_150
% 31.21/8.30 |
% 31.21/8.30 | Combining equations (9084,9082) yields a new equation:
% 31.21/8.30 | (9101) all_0_134_134 = all_0_149_149
% 31.21/8.30 |
% 31.21/8.30 | Combining equations (9078,9081) yields a new equation:
% 31.21/8.31 | (7067) all_0_145_145 = e23
% 31.21/8.31 |
% 31.21/8.31 | Simplifying 7067 yields:
% 31.21/8.31 | (6394) all_0_145_145 = e23
% 31.21/8.31 |
% 31.21/8.31 | Combining equations (9095,7197) yields a new equation:
% 31.21/8.31 | (9104) all_0_138_138 = e20
% 31.21/8.31 |
% 31.21/8.31 | Simplifying 9104 yields:
% 31.21/8.31 | (6357) all_0_138_138 = e20
% 31.21/8.31 |
% 31.21/8.31 | Combining equations (9101,9100) yields a new equation:
% 31.21/8.31 | (9106) all_0_149_149 = all_0_150_150
% 31.21/8.31 |
% 31.21/8.31 | Simplifying 9106 yields:
% 31.21/8.31 | (9107) all_0_149_149 = all_0_150_150
% 31.21/8.31 |
% 31.21/8.31 | Combining equations (9079,9080) yields a new equation:
% 31.21/8.31 | (9108) all_0_145_145 = all_0_154_154
% 31.21/8.31 |
% 31.21/8.31 | Simplifying 9108 yields:
% 31.21/8.31 | (9109) all_0_145_145 = all_0_154_154
% 31.21/8.31 |
% 31.21/8.31 | Combining equations (9097,9099) yields a new equation:
% 31.21/8.31 | (9110) all_0_144_144 = all_0_157_157
% 31.21/8.31 |
% 31.21/8.31 | Combining equations (6354,9099) yields a new equation:
% 31.21/8.31 | (9111) all_0_144_144 = e22
% 31.21/8.31 |
% 31.21/8.31 | Combining equations (9111,9110) yields a new equation:
% 31.21/8.31 | (6531) all_0_157_157 = e22
% 31.21/8.31 |
% 31.21/8.31 | Combining equations (6394,9109) yields a new equation:
% 31.21/8.31 | (9113) all_0_154_154 = e23
% 31.21/8.31 |
% 31.21/8.31 | Combining equations (9087,9088) yields a new equation:
% 31.21/8.31 | (9114) all_0_155_155 = e22
% 31.21/8.31 |
% 31.21/8.31 | Simplifying 9114 yields:
% 31.21/8.31 | (6340) all_0_155_155 = e22
% 31.21/8.31 |
% 31.21/8.31 | Combining equations (6377,9107) yields a new equation:
% 31.21/8.31 | (9116) all_0_150_150 = e20
% 31.21/8.31 |
% 31.21/8.31 | Combining equations (9116,9107) yields a new equation:
% 31.21/8.31 | (6377) all_0_149_149 = e20
% 31.21/8.31 |
% 31.21/8.31 | Combining equations (6531,9110) yields a new equation:
% 31.21/8.31 | (9111) all_0_144_144 = e22
% 31.21/8.31 |
% 31.21/8.31 | Combining equations (9113,9080) yields a new equation:
% 31.21/8.32 | (9119) all_0_135_135 = e23
% 31.21/8.32 |
% 31.21/8.32 +-Applying beta-rule and splitting (69), into two cases.
% 31.21/8.32 |-Branch one:
% 31.21/8.32 | (6421) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)) | (all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20))
% 31.21/8.32 |
% 31.21/8.32 +-Applying beta-rule and splitting (6421), into two cases.
% 31.21/8.32 |-Branch one:
% 31.21/8.32 | (6422) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22))
% 31.21/8.32 |
% 31.21/8.32 +-Applying beta-rule and splitting (6422), into two cases.
% 31.21/8.32 |-Branch one:
% 31.21/8.32 | (6423) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23))
% 31.21/8.32 |
% 31.21/8.32 +-Applying beta-rule and splitting (6423), into two cases.
% 31.21/8.32 |-Branch one:
% 31.21/8.32 | (6424) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20))
% 31.21/8.32 |
% 31.21/8.32 +-Applying beta-rule and splitting (6424), into two cases.
% 31.21/8.32 |-Branch one:
% 31.21/8.32 | (6425) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21))
% 31.21/8.32 |
% 31.21/8.32 +-Applying beta-rule and splitting (6425), into two cases.
% 31.21/8.32 |-Branch one:
% 31.21/8.32 | (6426) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23))
% 31.21/8.32 |
% 31.21/8.32 +-Applying beta-rule and splitting (6426), into two cases.
% 31.21/8.32 |-Branch one:
% 31.21/8.32 | (6427) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20))
% 31.21/8.32 |
% 31.21/8.32 +-Applying beta-rule and splitting (6427), into two cases.
% 31.21/8.32 |-Branch one:
% 31.21/8.32 | (6428) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21))
% 31.21/8.32 |
% 31.21/8.32 +-Applying beta-rule and splitting (6428), into two cases.
% 31.21/8.32 |-Branch one:
% 31.21/8.32 | (6429) all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)
% 31.21/8.32 |
% 31.21/8.32 | Applying alpha-rule on (6429) yields:
% 31.21/8.32 | (6430) all_0_135_135 = e22
% 31.21/8.32 | (6431) ~ (all_0_134_134 = e23)
% 31.21/8.32 | (6432) ~ (all_0_136_136 = e22)
% 31.21/8.32 |
% 31.21/8.32 | Combining equations (9119,6430) yields a new equation:
% 31.21/8.32 | (638) e23 = e22
% 31.21/8.32 |
% 31.21/8.32 | Simplifying 638 yields:
% 31.21/8.32 | (639) e23 = e22
% 31.21/8.32 |
% 31.21/8.32 | Equations (639) can reduce 449 to:
% 31.21/8.32 | (537) $false
% 31.21/8.32 |
% 31.21/8.32 |-The branch is then unsatisfiable
% 31.21/8.32 |-Branch two:
% 31.21/8.32 | (6434) all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)
% 31.21/8.32 |
% 31.21/8.32 | Applying alpha-rule on (6434) yields:
% 31.21/8.32 | (6435) all_0_138_138 = e21
% 31.21/8.32 | (6436) ~ (all_0_137_137 = e23)
% 31.21/8.32 | (6437) ~ (all_0_139_139 = e21)
% 31.21/8.32 |
% 31.21/8.32 | Combining equations (6357,6435) yields a new equation:
% 31.21/8.32 | (664) e21 = e20
% 31.21/8.32 |
% 31.21/8.32 | Equations (664) can reduce 401 to:
% 31.21/8.32 | (537) $false
% 31.21/8.32 |
% 31.21/8.32 |-The branch is then unsatisfiable
% 31.21/8.32 |-Branch two:
% 31.21/8.32 | (6441) all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)
% 31.21/8.32 |
% 31.21/8.32 | Applying alpha-rule on (6441) yields:
% 31.21/8.32 | (6442) all_0_141_141 = e20
% 31.21/8.32 | (6443) ~ (all_0_140_140 = e23)
% 31.21/8.32 | (6444) ~ (all_0_142_142 = e20)
% 31.21/8.32 |
% 31.21/8.32 | Combining equations (555,6442) yields a new equation:
% 31.21/8.32 | (663) e21 = e20
% 31.21/8.32 |
% 31.21/8.32 | Simplifying 663 yields:
% 31.21/8.32 | (664) e21 = e20
% 31.21/8.32 |
% 31.21/8.32 | Equations (664) can reduce 401 to:
% 31.21/8.32 | (537) $false
% 31.21/8.32 |
% 31.21/8.32 |-The branch is then unsatisfiable
% 31.21/8.32 |-Branch two:
% 31.21/8.32 | (6447) all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)
% 31.21/8.32 |
% 31.21/8.32 | Applying alpha-rule on (6447) yields:
% 31.21/8.32 | (6448) all_0_144_144 = e23
% 31.21/8.32 | (6449) ~ (all_0_143_143 = e22)
% 31.21/8.32 | (6450) ~ (all_0_145_145 = e23)
% 31.21/8.32 |
% 31.21/8.32 | Combining equations (9111,6448) yields a new equation:
% 31.21/8.32 | (639) e23 = e22
% 31.21/8.32 |
% 31.21/8.32 | Equations (639) can reduce 449 to:
% 31.21/8.32 | (537) $false
% 31.21/8.32 |
% 31.21/8.32 |-The branch is then unsatisfiable
% 31.21/8.32 |-Branch two:
% 31.21/8.32 | (6452) all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)
% 31.21/8.32 |
% 31.21/8.32 | Applying alpha-rule on (6452) yields:
% 31.21/8.32 | (6453) all_0_149_149 = e21
% 31.21/8.32 | (6454) ~ (all_0_148_148 = e22)
% 31.21/8.32 | (6455) ~ (all_0_150_150 = e21)
% 31.21/8.32 |
% 31.21/8.33 | Combining equations (6453,6377) yields a new equation:
% 31.21/8.33 | (663) e21 = e20
% 31.21/8.33 |
% 31.21/8.33 | Simplifying 663 yields:
% 31.21/8.33 | (664) e21 = e20
% 31.21/8.33 |
% 31.21/8.33 | Equations (664) can reduce 401 to:
% 31.21/8.33 | (537) $false
% 31.21/8.33 |
% 31.21/8.33 |-The branch is then unsatisfiable
% 31.21/8.33 |-Branch two:
% 31.21/8.33 | (6458) all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)
% 31.21/8.33 |
% 31.21/8.33 | Applying alpha-rule on (6458) yields:
% 31.21/8.33 | (6459) all_0_152_152 = e20
% 31.21/8.33 | (6460) ~ (all_0_151_151 = e22)
% 31.21/8.33 | (6461) ~ (all_0_153_153 = e20)
% 31.21/8.33 |
% 31.21/8.33 | Combining equations (7124,6459) yields a new equation:
% 31.21/8.33 | (683) e23 = e20
% 31.21/8.33 |
% 31.21/8.33 | Simplifying 683 yields:
% 31.21/8.33 | (684) e23 = e20
% 31.21/8.33 |
% 31.21/8.33 | Equations (684) can reduce 14 to:
% 31.21/8.33 | (537) $false
% 31.21/8.33 |
% 31.21/8.33 |-The branch is then unsatisfiable
% 31.21/8.33 |-Branch two:
% 31.21/8.33 | (6465) all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)
% 31.21/8.33 |
% 31.21/8.33 | Applying alpha-rule on (6465) yields:
% 31.21/8.33 | (6466) all_0_155_155 = e23
% 31.21/8.33 | (6467) ~ (all_0_154_154 = e21)
% 31.21/8.33 | (6468) ~ (all_0_156_156 = e23)
% 31.21/8.33 |
% 31.21/8.33 | Combining equations (6466,6340) yields a new equation:
% 31.21/8.33 | (638) e23 = e22
% 31.21/8.33 |
% 31.21/8.33 | Simplifying 638 yields:
% 31.21/8.33 | (639) e23 = e22
% 31.21/8.33 |
% 31.21/8.33 | Equations (639) can reduce 449 to:
% 31.21/8.33 | (537) $false
% 31.21/8.33 |
% 31.21/8.33 |-The branch is then unsatisfiable
% 31.21/8.33 |-Branch two:
% 31.21/8.33 | (6471) all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)
% 31.21/8.33 |
% 31.21/8.33 | Applying alpha-rule on (6471) yields:
% 31.21/8.33 | (6472) all_0_158_158 = e22
% 31.21/8.33 | (6473) ~ (all_0_157_157 = e21)
% 31.21/8.33 | (6474) ~ (all_0_159_159 = e22)
% 31.21/8.33 |
% 31.21/8.33 | Combining equations (6472,6529) yields a new equation:
% 31.21/8.33 | (657) e22 = e20
% 31.21/8.33 |
% 31.21/8.33 | Simplifying 657 yields:
% 31.21/8.33 | (658) e22 = e20
% 31.21/8.33 |
% 31.21/8.33 | Equations (658) can reduce 294 to:
% 31.21/8.33 | (537) $false
% 31.21/8.33 |
% 31.21/8.33 |-The branch is then unsatisfiable
% 31.21/8.33 |-Branch two:
% 31.21/8.33 | (6478) all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20)
% 31.21/8.33 |
% 31.21/8.33 | Applying alpha-rule on (6478) yields:
% 31.21/8.33 | (6479) all_0_163_163 = e20
% 31.21/8.33 | (6480) ~ (all_0_162_162 = e21)
% 31.21/8.33 | (6481) ~ (all_0_164_164 = e20)
% 31.21/8.33 |
% 31.21/8.33 | Combining equations (6530,6479) yields a new equation:
% 31.21/8.33 | (683) e23 = e20
% 31.21/8.33 |
% 31.21/8.33 | Simplifying 683 yields:
% 31.21/8.33 | (684) e23 = e20
% 31.21/8.33 |
% 31.21/8.33 | Equations (684) can reduce 14 to:
% 31.21/8.33 | (537) $false
% 31.21/8.33 |
% 31.21/8.33 |-The branch is then unsatisfiable
% 31.21/8.33 |-Branch two:
% 31.21/8.33 | (6483) all_0_237_237 = e21 & ~ (all_0_236_236 = e20)
% 31.21/8.33 |
% 31.21/8.33 | Applying alpha-rule on (6483) yields:
% 31.21/8.33 | (523) all_0_237_237 = e21
% 31.21/8.33 | (660) ~ (all_0_236_236 = e20)
% 31.21/8.33 |
% 31.21/8.33 | Combining equations (523,589) yields a new equation:
% 31.21/8.33 | (590) e23 = e21
% 31.21/8.33 |
% 31.21/8.33 | Equations (590) can reduce 215 to:
% 31.21/8.33 | (537) $false
% 31.21/8.33 |
% 31.21/8.33 |-The branch is then unsatisfiable
% 31.21/8.33 |-Branch two:
% 31.21/8.33 | (6338) ~ (all_0_240_240 = e22)
% 31.21/8.33 | (662) all_0_240_240 = e20
% 31.21/8.33 |
% 31.21/8.33 | Equations (662) can reduce 666 to:
% 31.21/8.33 | (537) $false
% 31.21/8.33 |
% 31.21/8.33 |-The branch is then unsatisfiable
% 31.21/8.33 |-Branch two:
% 31.21/8.33 | (660) ~ (all_0_236_236 = e20)
% 31.21/8.33 | (661) all_0_240_240 = e20 | all_0_244_244 = e20
% 31.21/8.33 |
% 31.21/8.33 +-Applying beta-rule and splitting (6309), into two cases.
% 31.21/8.33 |-Branch one:
% 31.21/8.33 | (6335) all_0_240_240 = e22
% 31.21/8.33 |
% 31.21/8.33 | Equations (6335) can reduce 666 to:
% 31.21/8.33 | (294) ~ (e22 = e20)
% 31.21/8.33 |
% 31.21/8.33 +-Applying beta-rule and splitting (661), into two cases.
% 31.21/8.33 |-Branch one:
% 31.21/8.33 | (662) all_0_240_240 = e20
% 31.21/8.33 |
% 31.21/8.33 | Combining equations (6335,662) yields a new equation:
% 31.21/8.33 | (657) e22 = e20
% 31.21/8.33 |
% 31.21/8.33 | Simplifying 657 yields:
% 31.21/8.33 | (658) e22 = e20
% 31.21/8.33 |
% 31.21/8.33 | Equations (658) can reduce 294 to:
% 31.21/8.33 | (537) $false
% 31.21/8.33 |
% 31.21/8.33 |-The branch is then unsatisfiable
% 31.21/8.33 |-Branch two:
% 31.21/8.33 | (666) ~ (all_0_240_240 = e20)
% 31.21/8.33 | (667) all_0_244_244 = e20
% 31.21/8.33 |
% 31.21/8.33 | Combining equations (581,667) yields a new equation:
% 31.21/8.33 | (663) e21 = e20
% 31.21/8.33 |
% 31.21/8.33 | Simplifying 663 yields:
% 31.21/8.33 | (664) e21 = e20
% 31.21/8.33 |
% 31.21/8.33 | Equations (664) can reduce 401 to:
% 31.21/8.33 | (537) $false
% 31.21/8.33 |
% 31.21/8.33 |-The branch is then unsatisfiable
% 31.21/8.33 |-Branch two:
% 31.21/8.33 | (6338) ~ (all_0_240_240 = e22)
% 31.21/8.33 | (6339) all_0_244_244 = e22
% 31.21/8.33 |
% 31.21/8.33 | Combining equations (6339,581) yields a new equation:
% 31.21/8.33 | (6913) e22 = e21
% 31.21/8.33 |
% 31.21/8.33 | Simplifying 6913 yields:
% 31.21/8.33 | (6323) e22 = e21
% 31.21/8.33 |
% 31.21/8.34 | Equations (6323) can reduce 92 to:
% 31.21/8.34 | (537) $false
% 31.21/8.34 |
% 31.21/8.34 |-The branch is then unsatisfiable
% 31.21/8.34 |-Branch two:
% 31.21/8.34 | (6378) ~ (all_0_239_239 = e20)
% 31.21/8.34 | (6292) all_0_243_243 = e20
% 31.21/8.34 |
% 31.21/8.34 | Combining equations (6292,6284) yields a new equation:
% 31.21/8.34 | (684) e23 = e20
% 31.21/8.34 |
% 31.21/8.34 | Equations (684) can reduce 14 to:
% 31.21/8.34 | (537) $false
% 31.21/8.34 |
% 31.21/8.34 |-The branch is then unsatisfiable
% 31.21/8.34 |-Branch two:
% 31.21/8.34 | (6325) ~ (all_0_242_242 = e22)
% 31.21/8.34 | (6326) all_0_243_243 = e22 | all_0_244_244 = e22
% 31.21/8.34 |
% 31.21/8.34 +-Applying beta-rule and splitting (7949), into two cases.
% 31.21/8.34 |-Branch one:
% 31.21/8.34 | (6322) all_0_242_242 = e22
% 31.21/8.34 |
% 31.21/8.34 | Equations (6322) can reduce 6325 to:
% 31.21/8.34 | (537) $false
% 31.21/8.34 |
% 31.21/8.34 |-The branch is then unsatisfiable
% 31.21/8.34 |-Branch two:
% 31.21/8.34 | (6325) ~ (all_0_242_242 = e22)
% 31.21/8.34 | (596) all_0_242_242 = e23
% 31.21/8.34 |
% 31.21/8.34 | Equations (596) can reduce 600 to:
% 31.21/8.34 | (537) $false
% 31.21/8.34 |
% 31.21/8.34 |-The branch is then unsatisfiable
% 31.21/8.34 |-Branch two:
% 31.21/8.34 | (608) ~ (all_0_238_238 = e23)
% 31.21/8.34 | (642) all_0_239_239 = e23 | all_0_241_241 = e23
% 31.21/8.34 |
% 31.21/8.34 +-Applying beta-rule and splitting (254), into two cases.
% 31.21/8.34 |-Branch one:
% 31.21/8.34 | (6322) all_0_242_242 = e22
% 31.21/8.34 |
% 31.21/8.34 | Equations (6322) can reduce 66 to:
% 31.21/8.34 | (6622) ~ (all_0_238_238 = e22)
% 31.21/8.34 |
% 31.21/8.34 +-Applying beta-rule and splitting (568), into two cases.
% 31.21/8.34 |-Branch one:
% 31.21/8.34 | (610) all_0_238_238 = e22
% 31.21/8.34 |
% 31.21/8.34 | Equations (610) can reduce 6622 to:
% 31.21/8.34 | (537) $false
% 31.21/8.34 |
% 31.21/8.34 |-The branch is then unsatisfiable
% 31.21/8.34 |-Branch two:
% 31.21/8.34 | (6622) ~ (all_0_238_238 = e22)
% 31.21/8.34 | (637) all_0_238_238 = e23
% 31.21/8.34 |
% 31.21/8.34 | Equations (637) can reduce 608 to:
% 31.21/8.34 | (537) $false
% 31.21/8.34 |
% 31.21/8.34 |-The branch is then unsatisfiable
% 31.21/8.34 |-Branch two:
% 31.21/8.34 | (6325) ~ (all_0_242_242 = e22)
% 31.21/8.34 | (6326) all_0_243_243 = e22 | all_0_244_244 = e22
% 31.21/8.34 |
% 31.21/8.34 +-Applying beta-rule and splitting (7949), into two cases.
% 31.21/8.34 |-Branch one:
% 31.21/8.34 | (6322) all_0_242_242 = e22
% 31.21/8.34 |
% 31.21/8.34 | Equations (6322) can reduce 6325 to:
% 31.21/8.34 | (537) $false
% 31.21/8.34 |
% 31.21/8.34 |-The branch is then unsatisfiable
% 31.21/8.34 |-Branch two:
% 31.21/8.34 | (6325) ~ (all_0_242_242 = e22)
% 31.21/8.34 | (596) all_0_242_242 = e23
% 31.21/8.34 |
% 31.21/8.34 | Equations (596) can reduce 600 to:
% 31.21/8.34 | (537) $false
% 31.21/8.34 |
% 31.21/8.34 |-The branch is then unsatisfiable
% 31.21/8.34 |-Branch two:
% 31.21/8.34 | (688) ~ (all_0_243_243 = e23)
% 31.21/8.34 | (6292) all_0_243_243 = e20
% 31.21/8.34 |
% 31.21/8.34 | Equations (6292) can reduce 668 to:
% 31.21/8.34 | (537) $false
% 31.21/8.34 |
% 31.21/8.34 |-The branch is then unsatisfiable
% 31.21/8.34 |-Branch two:
% 31.21/8.34 | (646) ~ (all_0_235_235 = e22)
% 31.21/8.34 | (7858) all_0_235_235 = e23 | all_0_235_235 = e20
% 31.21/8.34 |
% 31.21/8.34 +-Applying beta-rule and splitting (7858), into two cases.
% 31.21/8.34 |-Branch one:
% 31.21/8.34 | (633) all_0_235_235 = e23
% 31.21/8.34 |
% 31.21/8.34 | Equations (633) can reduce 606 to:
% 31.21/8.34 | (537) $false
% 31.21/8.34 |
% 31.21/8.34 |-The branch is then unsatisfiable
% 31.21/8.34 |-Branch two:
% 31.21/8.34 | (606) ~ (all_0_235_235 = e23)
% 31.21/8.34 | (651) all_0_235_235 = e20
% 31.21/8.34 |
% 31.21/8.34 | Equations (651) can reduce 212 to:
% 31.21/8.34 | (7117) ~ (all_0_243_243 = e20)
% 31.21/8.34 |
% 31.21/8.34 | Simplifying 7117 yields:
% 31.21/8.34 | (668) ~ (all_0_243_243 = e20)
% 31.21/8.34 |
% 31.21/8.34 | Equations (651) can reduce 646 to:
% 31.21/8.34 | (652) ~ (e22 = e20)
% 31.21/8.34 |
% 31.21/8.34 | Simplifying 652 yields:
% 31.21/8.34 | (294) ~ (e22 = e20)
% 31.21/8.34 |
% 31.21/8.34 | From (651) and (325) follows:
% 31.21/8.34 | (7121) op2(e20, e23) = all_0_135_135
% 31.21/8.34 |
% 31.21/8.34 | From (651) and (163) follows:
% 31.21/8.34 | (7122) op2(e22, e20) = all_0_99_99
% 31.21/8.34 |
% 31.21/8.34 +-Applying beta-rule and splitting (6315), into two cases.
% 31.21/8.34 |-Branch one:
% 31.21/8.34 | (647) all_0_235_235 = e22
% 31.21/8.34 |
% 31.21/8.34 | Combining equations (651,647) yields a new equation:
% 31.21/8.34 | (658) e22 = e20
% 31.21/8.34 |
% 31.21/8.34 | Equations (658) can reduce 294 to:
% 31.21/8.34 | (537) $false
% 31.21/8.34 |
% 31.21/8.34 |-The branch is then unsatisfiable
% 31.21/8.34 |-Branch two:
% 31.21/8.34 | (646) ~ (all_0_235_235 = e22)
% 31.21/8.34 | (645) all_0_236_236 = e22
% 31.21/8.34 |
% 31.21/8.34 | Equations (645) can reduce 79 to:
% 31.21/8.34 | (7133) ~ (all_0_240_240 = e22)
% 31.21/8.34 |
% 31.21/8.34 | Simplifying 7133 yields:
% 31.21/8.34 | (6338) ~ (all_0_240_240 = e22)
% 31.21/8.34 |
% 31.21/8.34 | From (645)(645) and (7927) follows:
% 31.21/8.35 | (9264) op2(e22, e22) = all_0_20_20
% 31.21/8.35 |
% 31.21/8.35 | From (645) and (285) follows:
% 31.21/8.35 | (8130) op2(e22, e23) = all_0_138_138
% 31.21/8.35 |
% 31.21/8.35 | From (645) and (132) follows:
% 31.21/8.35 | (8131) op2(e22, e21) = all_0_137_137
% 31.21/8.35 |
% 31.21/8.35 | From (645) and (451) follows:
% 31.21/8.35 | (8710) op2(e23, e21) = e22
% 31.21/8.35 |
% 31.21/8.35 | From (645) and (129) follows:
% 31.21/8.35 | (9268) op2(e22, e22) = all_0_102_102
% 31.21/8.35 |
% 31.21/8.35 +-Applying beta-rule and splitting (6992), into two cases.
% 31.21/8.35 |-Branch one:
% 31.21/8.35 | (6335) all_0_240_240 = e22
% 31.21/8.35 |
% 31.21/8.35 | Equations (6335) can reduce 6338 to:
% 31.21/8.35 | (537) $false
% 31.21/8.35 |
% 31.21/8.35 |-The branch is then unsatisfiable
% 31.21/8.35 |-Branch two:
% 31.21/8.35 | (6338) ~ (all_0_240_240 = e22)
% 31.21/8.35 | (662) all_0_240_240 = e20
% 31.21/8.35 |
% 31.21/8.35 | Equations (662) can reduce 306 to:
% 31.21/8.35 | (208) ~ (all_0_238_238 = e20)
% 31.21/8.35 |
% 31.21/8.35 | Equations (662) can reduce 84 to:
% 31.21/8.35 | (6378) ~ (all_0_239_239 = e20)
% 31.21/8.35 |
% 31.21/8.35 | Equations (662) can reduce 6338 to:
% 31.21/8.35 | (652) ~ (e22 = e20)
% 31.21/8.35 |
% 31.21/8.35 | Simplifying 652 yields:
% 31.21/8.35 | (294) ~ (e22 = e20)
% 31.21/8.35 |
% 31.21/8.35 | Equations (662) can reduce 6938 to:
% 31.21/8.35 | (654) ~ (e21 = e20)
% 31.21/8.35 |
% 31.21/8.35 | Simplifying 654 yields:
% 31.21/8.35 | (401) ~ (e21 = e20)
% 31.21/8.35 |
% 31.21/8.35 | From (662) and (359) follows:
% 31.21/8.35 | (7171) op2(e22, e20) = all_0_150_150
% 31.21/8.35 |
% 31.21/8.35 | From (662) and (473) follows:
% 31.21/8.35 | (9280) op2(e22, e21) = e20
% 31.21/8.35 |
% 31.21/8.35 | Instantiating formula (340) with e22, e23, all_0_138_138, all_0_238_238 and discharging atoms op2(e22, e23) = all_0_138_138, op2(e22, e23) = all_0_238_238, yields:
% 31.21/8.35 | (9281) all_0_138_138 = all_0_238_238
% 31.21/8.35 |
% 31.21/8.35 | Instantiating formula (340) with e22, e22, all_0_20_20, all_0_239_239 and discharging atoms op2(e22, e22) = all_0_20_20, op2(e22, e22) = all_0_239_239, yields:
% 31.21/8.35 | (9282) all_0_20_20 = all_0_239_239
% 31.21/8.35 |
% 31.21/8.35 | Instantiating formula (340) with e22, e22, all_0_102_102, all_0_20_20 and discharging atoms op2(e22, e22) = all_0_20_20, op2(e22, e22) = all_0_102_102, yields:
% 31.21/8.35 | (9283) all_0_20_20 = all_0_102_102
% 31.21/8.35 |
% 31.21/8.35 | Instantiating formula (340) with e22, e21, e20, all_0_137_137 and discharging atoms op2(e22, e21) = all_0_137_137, op2(e22, e21) = e20, yields:
% 31.21/8.35 | (9284) all_0_137_137 = e20
% 31.21/8.35 |
% 31.21/8.35 | Instantiating formula (340) with e22, e20, all_0_99_99, e21 and discharging atoms op2(e22, e20) = all_0_99_99, op2(e22, e20) = e21, yields:
% 31.21/8.35 | (7186) all_0_99_99 = e21
% 31.21/8.35 |
% 31.21/8.35 | Instantiating formula (340) with e22, e20, all_0_150_150, all_0_99_99 and discharging atoms op2(e22, e20) = all_0_99_99, op2(e22, e20) = all_0_150_150, yields:
% 31.21/8.35 | (9286) all_0_99_99 = all_0_150_150
% 31.21/8.35 |
% 31.21/8.35 | Instantiating formula (340) with e20, e23, all_0_135_135, e20 and discharging atoms op2(e20, e23) = all_0_135_135, op2(e20, e23) = e20, yields:
% 31.21/8.35 | (7201) all_0_135_135 = e20
% 31.21/8.35 |
% 31.21/8.35 | Combining equations (9282,9283) yields a new equation:
% 31.21/8.35 | (9288) all_0_102_102 = all_0_239_239
% 31.21/8.35 |
% 31.21/8.35 | Combining equations (7186,9286) yields a new equation:
% 31.21/8.35 | (7203) all_0_150_150 = e21
% 31.21/8.35 |
% 31.21/8.35 | From (9288) and (9268) follows:
% 31.21/8.35 | (256) op2(e22, e22) = all_0_239_239
% 31.21/8.35 |
% 31.21/8.35 | From (9284) and (8131) follows:
% 31.21/8.35 | (9280) op2(e22, e21) = e20
% 31.21/8.35 |
% 31.21/8.35 +-Applying beta-rule and splitting (82), into two cases.
% 31.21/8.35 |-Branch one:
% 31.21/8.35 | (6372) all_0_239_239 = e22
% 31.21/8.35 |
% 31.21/8.35 | Combining equations (6372,9288) yields a new equation:
% 31.21/8.35 | (9293) all_0_102_102 = e22
% 31.21/8.35 |
% 31.21/8.35 | Equations (6372) can reduce 287 to:
% 31.21/8.35 | (6622) ~ (all_0_238_238 = e22)
% 31.21/8.35 |
% 31.21/8.35 | Equations (6372) can reduce 32 to:
% 31.21/8.35 | (6663) ~ (all_0_243_243 = e22)
% 31.21/8.35 |
% 31.21/8.35 | Simplifying 6663 yields:
% 31.21/8.35 | (6287) ~ (all_0_243_243 = e22)
% 31.21/8.35 |
% 31.21/8.35 | From (6372)(6372) and (309) follows:
% 31.21/8.36 | (6666) op2(e22, e22) = all_0_37_37
% 31.21/8.36 |
% 31.21/8.36 | From (6372) and (292) follows:
% 31.21/8.36 | (6667) op2(e22, e22) = all_0_146_146
% 31.21/8.36 |
% 31.21/8.36 | From (6372) and (130) follows:
% 31.21/8.36 | (6669) op2(e22, e22) = all_0_147_147
% 31.21/8.36 |
% 31.21/8.36 | From (6372) and (256) follows:
% 31.21/8.36 | (6670) op2(e22, e22) = e22
% 31.21/8.36 |
% 31.21/8.36 +-Applying beta-rule and splitting (254), into two cases.
% 31.21/8.36 |-Branch one:
% 31.21/8.36 | (6322) all_0_242_242 = e22
% 31.21/8.36 |
% 31.21/8.36 | Equations (6322) can reduce 66 to:
% 31.21/8.36 | (6622) ~ (all_0_238_238 = e22)
% 31.21/8.36 |
% 31.21/8.36 | From (6322) and (135) follows:
% 31.21/8.36 | (9030) op2(e22, e22) = all_0_121_121
% 31.21/8.36 |
% 31.21/8.36 +-Applying beta-rule and splitting (397), into two cases.
% 31.21/8.36 |-Branch one:
% 31.21/8.36 | (637) all_0_238_238 = e23
% 31.21/8.36 |
% 31.21/8.36 | Equations (637) can reduce 6622 to:
% 31.21/8.36 | (449) ~ (e23 = e22)
% 31.21/8.36 |
% 31.21/8.36 +-Applying beta-rule and splitting (636), into two cases.
% 31.21/8.36 |-Branch one:
% 31.21/8.36 | (692) all_0_239_239 = e23
% 31.21/8.36 |
% 31.21/8.36 | Combining equations (6372,692) yields a new equation:
% 31.21/8.36 | (639) e23 = e22
% 31.21/8.36 |
% 31.21/8.36 | Equations (639) can reduce 449 to:
% 31.21/8.36 | (537) $false
% 31.21/8.36 |
% 31.21/8.36 |-The branch is then unsatisfiable
% 31.21/8.36 |-Branch two:
% 31.21/8.36 | (6283) ~ (all_0_239_239 = e23)
% 31.21/8.36 | (6284) all_0_243_243 = e23
% 31.21/8.36 |
% 31.21/8.36 | Equations (6284) can reduce 668 to:
% 31.21/8.36 | (14) ~ (e23 = e20)
% 31.21/8.36 |
% 31.21/8.36 | Instantiating formula (340) with e22, e22, all_0_121_121, all_0_37_37 and discharging atoms op2(e22, e22) = all_0_37_37, op2(e22, e22) = all_0_121_121, yields:
% 31.21/8.36 | (9312) all_0_37_37 = all_0_121_121
% 31.21/8.36 |
% 31.21/8.36 | Instantiating formula (340) with e22, e22, all_0_146_146, all_0_37_37 and discharging atoms op2(e22, e22) = all_0_37_37, op2(e22, e22) = all_0_146_146, yields:
% 31.21/8.36 | (6723) all_0_37_37 = all_0_146_146
% 31.21/8.36 |
% 31.21/8.36 | Instantiating formula (340) with e22, e22, all_0_147_147, all_0_121_121 and discharging atoms op2(e22, e22) = all_0_121_121, op2(e22, e22) = all_0_147_147, yields:
% 31.21/8.36 | (9314) all_0_121_121 = all_0_147_147
% 31.21/8.36 |
% 31.21/8.36 | Instantiating formula (340) with e22, e22, e22, all_0_37_37 and discharging atoms op2(e22, e22) = all_0_37_37, op2(e22, e22) = e22, yields:
% 31.21/8.36 | (9315) all_0_37_37 = e22
% 31.21/8.36 |
% 31.21/8.36 | Combining equations (9312,6723) yields a new equation:
% 31.21/8.36 | (9316) all_0_121_121 = all_0_146_146
% 31.21/8.36 |
% 31.21/8.36 | Simplifying 9316 yields:
% 31.21/8.36 | (9317) all_0_121_121 = all_0_146_146
% 31.21/8.36 |
% 31.21/8.36 | Combining equations (9315,6723) yields a new equation:
% 31.21/8.36 | (6755) all_0_146_146 = e22
% 31.21/8.36 |
% 31.21/8.36 | Combining equations (9317,9314) yields a new equation:
% 31.21/8.36 | (6740) all_0_146_146 = all_0_147_147
% 31.21/8.36 |
% 31.21/8.36 | Simplifying 6740 yields:
% 31.21/8.36 | (6741) all_0_146_146 = all_0_147_147
% 31.21/8.36 |
% 31.21/8.36 | Combining equations (6755,6741) yields a new equation:
% 31.21/8.36 | (6762) all_0_147_147 = e22
% 31.21/8.36 |
% 31.21/8.36 | Combining equations (6762,9314) yields a new equation:
% 31.21/8.36 | (9322) all_0_121_121 = e22
% 31.21/8.36 |
% 31.21/8.36 +-Applying beta-rule and splitting (338), into two cases.
% 31.21/8.36 |-Branch one:
% 31.21/8.36 | (6766) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)) | (all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21)) | (all_0_245_245 = e23 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e20) & ~ (all_0_164_164 = e21)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e20) & ~ (all_0_133_133 = e23)) | ( ~ (all_0_111_111 = e23) & ~ (all_0_112_112 = e21) & ~ (all_0_113_113 = e20) & ~ (all_0_147_147 = e22)) | ( ~ (all_0_126_126 = e23) & ~ (all_0_127_127 = e22) & ~ (all_0_128_128 = e20) & ~ (all_0_161_161 = e21))
% 31.21/8.36 |
% 31.21/8.36 +-Applying beta-rule and splitting (6766), into two cases.
% 31.21/8.36 |-Branch one:
% 31.21/8.37 | (6767) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)) | (all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21)) | (all_0_245_245 = e23 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e20) & ~ (all_0_164_164 = e21)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e20) & ~ (all_0_133_133 = e23)) | ( ~ (all_0_111_111 = e23) & ~ (all_0_112_112 = e21) & ~ (all_0_113_113 = e20) & ~ (all_0_147_147 = e22))
% 31.21/8.37 |
% 31.21/8.37 +-Applying beta-rule and splitting (6767), into two cases.
% 31.21/8.37 |-Branch one:
% 31.21/8.37 | (6768) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)) | (all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21)) | (all_0_245_245 = e23 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e20) & ~ (all_0_164_164 = e21)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e20) & ~ (all_0_133_133 = e23))
% 31.21/8.37 |
% 31.21/8.37 +-Applying beta-rule and splitting (6768), into two cases.
% 31.21/8.37 |-Branch one:
% 31.21/8.37 | (6769) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)) | (all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21)) | (all_0_245_245 = e23 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e20) & ~ (all_0_164_164 = e21))
% 31.30/8.37 |
% 31.30/8.37 +-Applying beta-rule and splitting (6769), into two cases.
% 31.30/8.37 |-Branch one:
% 31.30/8.37 | (6770) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)) | (all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21))
% 31.30/8.37 |
% 31.30/8.37 +-Applying beta-rule and splitting (6770), into two cases.
% 31.30/8.37 |-Branch one:
% 31.30/8.37 | (6771) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22))
% 31.30/8.37 |
% 31.30/8.37 +-Applying beta-rule and splitting (6771), into two cases.
% 31.30/8.37 |-Branch one:
% 31.30/8.37 | (6772) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21))
% 31.30/8.37 |
% 31.30/8.37 +-Applying beta-rule and splitting (6772), into two cases.
% 31.30/8.37 |-Branch one:
% 31.30/8.37 | (6773) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22))
% 31.30/8.37 |
% 31.30/8.37 +-Applying beta-rule and splitting (6773), into two cases.
% 31.30/8.37 |-Branch one:
% 31.30/8.37 | (6774) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21))
% 31.30/8.37 |
% 31.30/8.37 +-Applying beta-rule and splitting (6774), into two cases.
% 31.30/8.37 |-Branch one:
% 31.30/8.37 | (6775) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23))
% 31.30/8.37 |
% 31.30/8.37 +-Applying beta-rule and splitting (6775), into two cases.
% 31.30/8.37 |-Branch one:
% 31.30/8.37 | (6776) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21))
% 31.30/8.37 |
% 31.30/8.37 +-Applying beta-rule and splitting (6776), into two cases.
% 31.30/8.37 |-Branch one:
% 31.30/8.37 | (6777) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23))
% 31.30/8.37 |
% 31.30/8.37 +-Applying beta-rule and splitting (6777), into two cases.
% 31.30/8.37 |-Branch one:
% 31.30/8.37 | (6778) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22))
% 31.30/8.37 |
% 31.30/8.37 +-Applying beta-rule and splitting (6778), into two cases.
% 31.30/8.37 |-Branch one:
% 31.30/8.37 | (6779) all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)
% 31.30/8.37 |
% 31.30/8.37 | Applying alpha-rule on (6779) yields:
% 31.30/8.37 | (6780) ~ (all_0_100_100 = e21)
% 31.30/8.37 | (6781) ~ (all_0_136_136 = e23)
% 31.30/8.37 | (6782) ~ (all_0_101_101 = e20)
% 31.30/8.37 | (6783) ~ (all_0_99_99 = e22)
% 31.30/8.37 | (6784) all_0_235_235 = all_0_238_238
% 31.30/8.37 |
% 31.30/8.37 | Combining equations (651,6784) yields a new equation:
% 31.30/8.37 | (9342) all_0_238_238 = e20
% 31.30/8.37 |
% 31.30/8.37 | Combining equations (637,9342) yields a new equation:
% 31.30/8.37 | (683) e23 = e20
% 31.30/8.37 |
% 31.30/8.37 | Simplifying 683 yields:
% 31.30/8.37 | (684) e23 = e20
% 31.30/8.37 |
% 31.30/8.37 | Equations (684) can reduce 14 to:
% 31.30/8.37 | (537) $false
% 31.30/8.37 |
% 31.30/8.37 |-The branch is then unsatisfiable
% 31.30/8.37 |-Branch two:
% 31.30/8.37 | (6786) all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)
% 31.30/8.37 |
% 31.30/8.37 | Applying alpha-rule on (6786) yields:
% 31.30/8.37 | (6787) ~ (all_0_109_109 = e21)
% 31.30/8.37 | (6788) ~ (all_0_145_145 = e22)
% 31.30/8.37 | (6789) ~ (all_0_110_110 = e20)
% 31.30/8.37 | (6790) ~ (all_0_108_108 = e23)
% 31.30/8.38 | (6784) all_0_235_235 = all_0_238_238
% 31.30/8.38 |
% 31.30/8.38 | Combining equations (651,6784) yields a new equation:
% 31.30/8.38 | (9342) all_0_238_238 = e20
% 31.30/8.38 |
% 31.30/8.38 | Combining equations (637,9342) yields a new equation:
% 31.30/8.38 | (683) e23 = e20
% 31.30/8.38 |
% 31.30/8.38 | Simplifying 683 yields:
% 31.30/8.38 | (684) e23 = e20
% 31.30/8.38 |
% 31.30/8.38 | Equations (684) can reduce 14 to:
% 31.30/8.38 | (537) $false
% 31.30/8.38 |
% 31.30/8.38 |-The branch is then unsatisfiable
% 31.30/8.38 |-Branch two:
% 31.30/8.38 | (6793) all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)
% 31.30/8.38 |
% 31.30/8.38 | Applying alpha-rule on (6793) yields:
% 31.30/8.38 | (6794) all_0_236_236 = all_0_242_242
% 31.30/8.38 | (6795) ~ (all_0_139_139 = e23)
% 31.30/8.38 | (6796) ~ (all_0_103_103 = e21)
% 31.30/8.38 | (6797) ~ (all_0_102_102 = e22)
% 31.30/8.38 | (6798) ~ (all_0_104_104 = e20)
% 31.30/8.38 |
% 31.30/8.38 | Equations (9293) can reduce 6797 to:
% 31.30/8.38 | (537) $false
% 31.30/8.38 |
% 31.30/8.38 |-The branch is then unsatisfiable
% 31.30/8.38 |-Branch two:
% 31.30/8.38 | (6803) all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)
% 31.30/8.38 |
% 31.30/8.38 | Applying alpha-rule on (6803) yields:
% 31.30/8.38 | (6804) ~ (all_0_122_122 = e20)
% 31.30/8.38 | (6805) ~ (all_0_121_121 = e22)
% 31.30/8.38 | (6794) all_0_236_236 = all_0_242_242
% 31.30/8.38 | (6807) ~ (all_0_156_156 = e21)
% 31.30/8.38 | (6808) ~ (all_0_120_120 = e23)
% 31.30/8.38 |
% 31.30/8.38 | Equations (9322) can reduce 6805 to:
% 31.30/8.38 | (537) $false
% 31.30/8.38 |
% 31.30/8.38 |-The branch is then unsatisfiable
% 31.30/8.38 |-Branch two:
% 31.30/8.38 | (6813) all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)
% 31.30/8.38 |
% 31.30/8.38 | Applying alpha-rule on (6813) yields:
% 31.30/8.38 | (675) all_0_237_237 = e20
% 31.30/8.38 | (6815) ~ (all_0_142_142 = e23)
% 31.30/8.38 | (6816) ~ (all_0_106_106 = e21)
% 31.30/8.38 | (6817) ~ (all_0_107_107 = e20)
% 31.30/8.38 | (6818) ~ (all_0_105_105 = e22)
% 31.30/8.38 |
% 31.30/8.38 | Combining equations (675,589) yields a new equation:
% 31.30/8.38 | (684) e23 = e20
% 31.30/8.38 |
% 31.30/8.38 | Equations (684) can reduce 14 to:
% 31.30/8.38 | (537) $false
% 31.30/8.38 |
% 31.30/8.38 |-The branch is then unsatisfiable
% 31.30/8.38 |-Branch two:
% 31.30/8.38 | (6821) all_0_237_237 = e20 & ~ (all_0_245_245 = e21)
% 31.30/8.38 |
% 31.30/8.38 | Applying alpha-rule on (6821) yields:
% 31.30/8.38 | (675) all_0_237_237 = e20
% 31.30/8.38 | (506) ~ (all_0_245_245 = e21)
% 31.30/8.38 |
% 31.30/8.38 | Combining equations (675,589) yields a new equation:
% 31.30/8.38 | (684) e23 = e20
% 31.30/8.38 |
% 31.30/8.38 | Equations (684) can reduce 14 to:
% 31.30/8.38 | (537) $false
% 31.30/8.38 |
% 31.30/8.38 |-The branch is then unsatisfiable
% 31.30/8.38 |-Branch two:
% 31.30/8.38 | (6826) all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)
% 31.30/8.38 |
% 31.30/8.38 | Applying alpha-rule on (6826) yields:
% 31.30/8.38 | (6827) ~ (all_0_150_150 = e22)
% 31.30/8.38 | (6828) ~ (all_0_115_115 = e21)
% 31.30/8.38 | (6829) ~ (all_0_114_114 = e23)
% 31.33/8.38 | (6830) all_0_240_240 = all_0_243_243
% 31.33/8.38 | (6831) ~ (all_0_116_116 = e20)
% 31.33/8.38 |
% 31.33/8.38 | Combining equations (662,6830) yields a new equation:
% 31.33/8.38 | (6292) all_0_243_243 = e20
% 31.33/8.38 |
% 31.33/8.38 | Combining equations (6284,6292) yields a new equation:
% 31.33/8.38 | (683) e23 = e20
% 31.33/8.38 |
% 31.33/8.38 | Simplifying 683 yields:
% 31.33/8.38 | (684) e23 = e20
% 31.33/8.38 |
% 31.33/8.38 | Equations (684) can reduce 14 to:
% 31.33/8.38 | (537) $false
% 31.33/8.38 |
% 31.33/8.38 |-The branch is then unsatisfiable
% 31.33/8.39 |-Branch two:
% 31.33/8.39 | (6836) all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)
% 31.33/8.39 |
% 31.33/8.39 | Applying alpha-rule on (6836) yields:
% 31.33/8.39 | (6837) ~ (all_0_123_123 = e23)
% 31.33/8.39 | (6830) all_0_240_240 = all_0_243_243
% 31.33/8.39 | (6839) ~ (all_0_159_159 = e21)
% 31.33/8.39 | (6840) ~ (all_0_124_124 = e22)
% 31.33/8.39 | (6841) ~ (all_0_125_125 = e20)
% 31.33/8.39 |
% 31.33/8.39 | Combining equations (662,6830) yields a new equation:
% 31.33/8.39 | (6292) all_0_243_243 = e20
% 31.33/8.39 |
% 31.33/8.39 | Combining equations (6284,6292) yields a new equation:
% 31.33/8.39 | (683) e23 = e20
% 31.33/8.39 |
% 31.33/8.39 | Simplifying 683 yields:
% 31.33/8.39 | (684) e23 = e20
% 31.33/8.39 |
% 31.33/8.39 | Equations (684) can reduce 14 to:
% 31.33/8.39 | (537) $false
% 31.33/8.39 |
% 31.33/8.39 |-The branch is then unsatisfiable
% 31.33/8.39 |-Branch two:
% 31.33/8.39 | (6846) all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)
% 31.33/8.39 |
% 31.33/8.39 | Applying alpha-rule on (6846) yields:
% 31.33/8.39 | (6847) ~ (all_0_119_119 = e20)
% 31.33/8.39 | (6848) ~ (all_0_117_117 = e23)
% 31.33/8.39 | (585) all_0_241_241 = e21
% 31.33/8.39 | (6850) ~ (all_0_153_153 = e22)
% 31.33/8.39 | (6851) ~ (all_0_118_118 = e21)
% 31.33/8.39 |
% 31.33/8.39 | Equations (8944) can reduce 6851 to:
% 31.33/8.39 | (537) $false
% 31.33/8.39 |
% 31.33/8.39 |-The branch is then unsatisfiable
% 31.33/8.39 |-Branch two:
% 31.33/8.39 | (6854) all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21)
% 31.33/8.39 |
% 31.33/8.39 | Applying alpha-rule on (6854) yields:
% 31.33/8.39 | (585) all_0_241_241 = e21
% 31.33/8.39 | (6338) ~ (all_0_240_240 = e22)
% 31.33/8.39 | (547) ~ (all_0_244_244 = e21)
% 31.33/8.39 |
% 31.33/8.39 | Equations (581) can reduce 547 to:
% 31.33/8.39 | (537) $false
% 31.33/8.39 |
% 31.33/8.39 |-The branch is then unsatisfiable
% 31.33/8.39 |-Branch two:
% 31.33/8.39 | (6860) all_0_245_245 = e23 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e20) & ~ (all_0_164_164 = e21)
% 31.33/8.39 |
% 31.33/8.39 | Applying alpha-rule on (6860) yields:
% 31.33/8.39 | (6861) ~ (all_0_164_164 = e21)
% 31.33/8.39 | (6862) ~ (all_0_129_129 = e23)
% 31.33/8.39 | (6863) ~ (all_0_131_131 = e20)
% 31.33/8.39 | (6864) ~ (all_0_130_130 = e22)
% 31.33/8.39 | (687) all_0_245_245 = e23
% 31.33/8.39 |
% 31.33/8.39 | Combining equations (6295,687) yields a new equation:
% 31.33/8.39 | (684) e23 = e20
% 31.33/8.39 |
% 31.33/8.39 | Equations (684) can reduce 14 to:
% 31.33/8.39 | (537) $false
% 31.33/8.39 |
% 31.33/8.39 |-The branch is then unsatisfiable
% 31.33/8.39 |-Branch two:
% 31.33/8.39 | (6867) ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e20) & ~ (all_0_133_133 = e23)
% 31.33/8.39 |
% 31.33/8.39 | Applying alpha-rule on (6867) yields:
% 31.33/8.39 | (6868) ~ (all_0_96_96 = e22)
% 31.33/8.39 | (6869) ~ (all_0_97_97 = e21)
% 31.33/8.39 | (6870) ~ (all_0_98_98 = e20)
% 31.33/8.39 | (6871) ~ (all_0_133_133 = e23)
% 31.33/8.39 |
% 31.33/8.39 | Equations (8909) can reduce 6869 to:
% 31.33/8.39 | (537) $false
% 31.33/8.39 |
% 31.33/8.39 |-The branch is then unsatisfiable
% 31.33/8.39 |-Branch two:
% 31.33/8.39 | (6873) ~ (all_0_111_111 = e23) & ~ (all_0_112_112 = e21) & ~ (all_0_113_113 = e20) & ~ (all_0_147_147 = e22)
% 31.33/8.39 |
% 31.33/8.39 | Applying alpha-rule on (6873) yields:
% 31.33/8.39 | (6874) ~ (all_0_111_111 = e23)
% 31.33/8.40 | (6875) ~ (all_0_112_112 = e21)
% 31.33/8.40 | (6876) ~ (all_0_113_113 = e20)
% 31.33/8.40 | (6877) ~ (all_0_147_147 = e22)
% 31.33/8.40 |
% 31.33/8.40 | Equations (6762) can reduce 6877 to:
% 31.33/8.40 | (537) $false
% 31.33/8.40 |
% 31.33/8.40 |-The branch is then unsatisfiable
% 31.33/8.40 |-Branch two:
% 31.33/8.40 | (6879) ~ (all_0_126_126 = e23) & ~ (all_0_127_127 = e22) & ~ (all_0_128_128 = e20) & ~ (all_0_161_161 = e21)
% 31.33/8.40 |
% 31.33/8.40 | Applying alpha-rule on (6879) yields:
% 31.33/8.40 | (6880) ~ (all_0_126_126 = e23)
% 31.33/8.40 | (6881) ~ (all_0_127_127 = e22)
% 31.33/8.40 | (6882) ~ (all_0_128_128 = e20)
% 31.33/8.40 | (6883) ~ (all_0_161_161 = e21)
% 31.33/8.40 |
% 31.33/8.40 | Equations (8954) can reduce 6883 to:
% 31.33/8.40 | (537) $false
% 31.33/8.40 |
% 31.33/8.40 |-The branch is then unsatisfiable
% 31.33/8.40 |-Branch two:
% 31.33/8.40 | (6885) ~ (all_0_235_235 = e23) & ~ (all_0_239_239 = e22)
% 31.33/8.40 |
% 31.33/8.40 | Applying alpha-rule on (6885) yields:
% 31.33/8.40 | (606) ~ (all_0_235_235 = e23)
% 31.33/8.40 | (6318) ~ (all_0_239_239 = e22)
% 31.33/8.40 |
% 31.33/8.40 | Equations (6372) can reduce 6318 to:
% 31.33/8.40 | (537) $false
% 31.33/8.40 |
% 31.33/8.40 |-The branch is then unsatisfiable
% 31.33/8.40 |-Branch two:
% 31.33/8.40 | (608) ~ (all_0_238_238 = e23)
% 31.33/8.40 | (642) all_0_239_239 = e23 | all_0_241_241 = e23
% 31.33/8.40 |
% 31.33/8.40 +-Applying beta-rule and splitting (568), into two cases.
% 31.33/8.40 |-Branch one:
% 31.33/8.40 | (610) all_0_238_238 = e22
% 31.33/8.40 |
% 31.33/8.40 | Equations (610) can reduce 6622 to:
% 31.33/8.40 | (537) $false
% 31.33/8.40 |
% 31.33/8.40 |-The branch is then unsatisfiable
% 31.33/8.40 |-Branch two:
% 31.33/8.40 | (6622) ~ (all_0_238_238 = e22)
% 31.33/8.40 | (637) all_0_238_238 = e23
% 31.33/8.40 |
% 31.33/8.40 | Equations (637) can reduce 608 to:
% 31.33/8.40 | (537) $false
% 31.33/8.40 |
% 31.33/8.40 |-The branch is then unsatisfiable
% 31.33/8.40 |-Branch two:
% 31.33/8.40 | (6325) ~ (all_0_242_242 = e22)
% 31.33/8.40 | (6326) all_0_243_243 = e22 | all_0_244_244 = e22
% 31.33/8.40 |
% 31.33/8.40 +-Applying beta-rule and splitting (394), into two cases.
% 31.33/8.40 |-Branch one:
% 31.33/8.40 | (689) all_0_243_243 = e22
% 31.33/8.40 |
% 31.33/8.40 | Equations (689) can reduce 6287 to:
% 31.33/8.40 | (537) $false
% 31.33/8.40 |
% 31.33/8.40 |-The branch is then unsatisfiable
% 31.33/8.40 |-Branch two:
% 31.33/8.40 | (6287) ~ (all_0_243_243 = e22)
% 31.33/8.40 | (6288) all_0_243_243 = e23 | all_0_243_243 = e20
% 31.33/8.40 |
% 31.33/8.40 +-Applying beta-rule and splitting (6288), into two cases.
% 31.33/8.40 |-Branch one:
% 31.33/8.40 | (6284) all_0_243_243 = e23
% 31.33/8.40 |
% 31.33/8.40 | Equations (6284) can reduce 392 to:
% 31.33/8.40 | (600) ~ (all_0_242_242 = e23)
% 31.33/8.40 |
% 31.33/8.40 +-Applying beta-rule and splitting (397), into two cases.
% 31.33/8.40 |-Branch one:
% 31.33/8.40 | (637) all_0_238_238 = e23
% 31.33/8.40 |
% 31.33/8.40 | Equations (637) can reduce 6622 to:
% 31.33/8.40 | (449) ~ (e23 = e22)
% 31.33/8.40 |
% 31.33/8.40 +-Applying beta-rule and splitting (6917), into two cases.
% 31.33/8.40 |-Branch one:
% 31.33/8.40 | (610) all_0_238_238 = e22
% 31.33/8.40 |
% 31.33/8.40 | Combining equations (637,610) yields a new equation:
% 31.33/8.40 | (638) e23 = e22
% 31.33/8.40 |
% 31.33/8.40 | Simplifying 638 yields:
% 31.33/8.40 | (639) e23 = e22
% 31.33/8.40 |
% 31.33/8.40 | Equations (639) can reduce 449 to:
% 31.33/8.40 | (537) $false
% 31.33/8.40 |
% 31.33/8.40 |-The branch is then unsatisfiable
% 31.33/8.40 |-Branch two:
% 31.33/8.40 | (6622) ~ (all_0_238_238 = e22)
% 31.33/8.40 | (6322) all_0_242_242 = e22
% 31.33/8.40 |
% 31.33/8.40 | Equations (6322) can reduce 6325 to:
% 31.33/8.40 | (537) $false
% 31.33/8.40 |
% 31.33/8.40 |-The branch is then unsatisfiable
% 31.33/8.40 |-Branch two:
% 31.33/8.40 | (608) ~ (all_0_238_238 = e23)
% 31.33/8.40 | (642) all_0_239_239 = e23 | all_0_241_241 = e23
% 31.33/8.40 |
% 31.33/8.40 +-Applying beta-rule and splitting (6630), into two cases.
% 31.33/8.40 |-Branch one:
% 31.33/8.40 | (637) all_0_238_238 = e23
% 31.33/8.40 |
% 31.33/8.40 | Equations (637) can reduce 608 to:
% 31.33/8.40 | (537) $false
% 31.33/8.40 |
% 31.33/8.40 |-The branch is then unsatisfiable
% 31.33/8.40 |-Branch two:
% 31.33/8.40 | (608) ~ (all_0_238_238 = e23)
% 31.33/8.40 | (596) all_0_242_242 = e23
% 31.33/8.40 |
% 31.33/8.40 | Equations (596) can reduce 600 to:
% 31.33/8.40 | (537) $false
% 31.33/8.40 |
% 31.33/8.40 |-The branch is then unsatisfiable
% 31.33/8.40 |-Branch two:
% 31.33/8.40 | (688) ~ (all_0_243_243 = e23)
% 31.33/8.40 | (6292) all_0_243_243 = e20
% 31.33/8.40 |
% 31.33/8.40 | Equations (6292) can reduce 668 to:
% 31.33/8.40 | (537) $false
% 31.33/8.40 |
% 31.33/8.40 |-The branch is then unsatisfiable
% 31.33/8.40 |-Branch two:
% 31.33/8.40 | (6318) ~ (all_0_239_239 = e22)
% 31.33/8.40 | (6375) all_0_239_239 = e23 | all_0_239_239 = e20
% 31.33/8.40 |
% 31.33/8.40 +-Applying beta-rule and splitting (94), into two cases.
% 31.33/8.40 |-Branch one:
% 31.33/8.40 | (610) all_0_238_238 = e22
% 31.33/8.40 |
% 31.33/8.40 | Combining equations (610,9281) yields a new equation:
% 31.33/8.41 | (8486) all_0_138_138 = e22
% 31.33/8.41 |
% 31.33/8.41 | Equations (610) can reduce 287 to:
% 31.33/8.41 | (6317) ~ (all_0_239_239 = e22)
% 31.33/8.41 |
% 31.33/8.41 | Simplifying 6317 yields:
% 31.33/8.41 | (6318) ~ (all_0_239_239 = e22)
% 31.33/8.41 |
% 31.33/8.41 | Equations (610) can reduce 66 to:
% 31.33/8.41 | (9485) ~ (all_0_242_242 = e22)
% 31.33/8.41 |
% 31.33/8.41 | Simplifying 9485 yields:
% 31.33/8.41 | (6325) ~ (all_0_242_242 = e22)
% 31.33/8.41 |
% 31.33/8.41 | Equations (610) can reduce 208 to:
% 31.33/8.41 | (294) ~ (e22 = e20)
% 31.33/8.41 |
% 31.33/8.41 | From (610) and (133) follows:
% 31.33/8.41 | (616) op2(e22, e22) = all_0_144_144
% 31.33/8.41 |
% 31.33/8.41 | From (610) and (235) follows:
% 31.33/8.41 | (618) op2(e22, e22) = all_0_145_145
% 31.33/8.41 |
% 31.33/8.41 +-Applying beta-rule and splitting (281), into two cases.
% 31.33/8.41 |-Branch one:
% 31.33/8.41 | (647) all_0_235_235 = e22
% 31.33/8.41 |
% 31.33/8.41 | Combining equations (647,651) yields a new equation:
% 31.33/8.41 | (657) e22 = e20
% 31.33/8.41 |
% 31.33/8.41 | Simplifying 657 yields:
% 31.33/8.41 | (658) e22 = e20
% 31.33/8.41 |
% 31.33/8.41 | Equations (658) can reduce 294 to:
% 31.33/8.41 | (537) $false
% 31.33/8.41 |
% 31.33/8.41 |-The branch is then unsatisfiable
% 31.33/8.41 |-Branch two:
% 31.33/8.41 | (646) ~ (all_0_235_235 = e22)
% 31.33/8.41 | (650) all_0_239_239 = e22 | all_0_243_243 = e22
% 31.33/8.41 |
% 31.33/8.41 +-Applying beta-rule and splitting (254), into two cases.
% 31.33/8.41 |-Branch one:
% 31.33/8.41 | (6322) all_0_242_242 = e22
% 31.33/8.41 |
% 31.33/8.41 | Equations (6322) can reduce 6325 to:
% 31.33/8.41 | (537) $false
% 31.33/8.41 |
% 31.33/8.41 |-The branch is then unsatisfiable
% 31.33/8.41 |-Branch two:
% 31.33/8.41 | (6325) ~ (all_0_242_242 = e22)
% 31.33/8.41 | (6326) all_0_243_243 = e22 | all_0_244_244 = e22
% 31.33/8.41 |
% 31.33/8.41 +-Applying beta-rule and splitting (6375), into two cases.
% 31.33/8.41 |-Branch one:
% 31.33/8.41 | (692) all_0_239_239 = e23
% 31.33/8.41 |
% 31.33/8.41 | Equations (692) can reduce 6318 to:
% 31.33/8.41 | (449) ~ (e23 = e22)
% 31.33/8.41 |
% 31.33/8.41 | From (692) and (256) follows:
% 31.33/8.41 | (7669) op2(e22, e22) = e23
% 31.33/8.41 |
% 31.33/8.41 +-Applying beta-rule and splitting (390), into two cases.
% 31.33/8.41 |-Branch one:
% 31.33/8.41 | (596) all_0_242_242 = e23
% 31.33/8.41 |
% 31.33/8.41 | Equations (596) can reduce 392 to:
% 31.33/8.41 | (6698) ~ (all_0_243_243 = e23)
% 31.33/8.41 |
% 31.33/8.41 | Simplifying 6698 yields:
% 31.33/8.41 | (688) ~ (all_0_243_243 = e23)
% 31.33/8.41 |
% 31.33/8.41 | Equations (596) can reduce 6325 to:
% 31.33/8.41 | (449) ~ (e23 = e22)
% 31.33/8.41 |
% 31.33/8.41 | Equations (596) can reduce 7898 to:
% 31.33/8.41 | (215) ~ (e23 = e21)
% 31.33/8.41 |
% 31.33/8.41 | Equations (596) can reduce 266 to:
% 31.33/8.41 | (14) ~ (e23 = e20)
% 31.33/8.41 |
% 31.33/8.41 | From (596) and (97) follows:
% 31.33/8.41 | (8264) op2(e23, e21) = all_0_155_155
% 31.33/8.41 |
% 31.33/8.41 +-Applying beta-rule and splitting (394), into two cases.
% 31.33/8.41 |-Branch one:
% 31.33/8.41 | (689) all_0_243_243 = e22
% 31.33/8.41 |
% 31.33/8.41 | Combining equations (689,6978) yields a new equation:
% 31.33/8.41 | (6527) all_0_152_152 = e22
% 31.33/8.41 |
% 31.33/8.41 | Equations (689) can reduce 688 to:
% 31.33/8.41 | (613) ~ (e23 = e22)
% 31.33/8.41 |
% 31.33/8.41 | Simplifying 613 yields:
% 31.33/8.41 | (449) ~ (e23 = e22)
% 31.33/8.41 |
% 31.33/8.41 | Equations (689) can reduce 74 to:
% 31.33/8.41 | (92) ~ (e22 = e21)
% 31.33/8.41 |
% 31.33/8.41 | Equations (689) can reduce 668 to:
% 31.33/8.41 | (294) ~ (e22 = e20)
% 31.33/8.41 |
% 31.33/8.41 | From (689) and (258) follows:
% 31.33/8.41 | (8465) op2(e22, e21) = all_0_158_158
% 31.33/8.41 |
% 31.33/8.41 | From (689) and (30) follows:
% 31.33/8.41 | (9517) op2(e22, e22) = all_0_124_124
% 31.33/8.41 |
% 31.33/8.41 | Instantiating formula (340) with e23, e21, all_0_155_155, e22 and discharging atoms op2(e23, e21) = all_0_155_155, op2(e23, e21) = e22, yields:
% 31.33/8.41 | (6340) all_0_155_155 = e22
% 31.33/8.41 |
% 31.33/8.41 | Instantiating formula (340) with e22, e22, all_0_144_144, all_0_124_124 and discharging atoms op2(e22, e22) = all_0_124_124, op2(e22, e22) = all_0_144_144, yields:
% 31.33/8.41 | (9519) all_0_124_124 = all_0_144_144
% 31.33/8.41 |
% 31.33/8.41 | Instantiating formula (340) with e22, e22, all_0_145_145, all_0_124_124 and discharging atoms op2(e22, e22) = all_0_124_124, op2(e22, e22) = all_0_145_145, yields:
% 31.33/8.41 | (9078) all_0_124_124 = all_0_145_145
% 31.33/8.41 |
% 31.33/8.41 | Instantiating formula (340) with e22, e22, e23, all_0_144_144 and discharging atoms op2(e22, e22) = all_0_144_144, op2(e22, e22) = e23, yields:
% 31.33/8.41 | (6448) all_0_144_144 = e23
% 31.33/8.41 |
% 31.33/8.41 | Instantiating formula (340) with e22, e21, all_0_158_158, e20 and discharging atoms op2(e22, e21) = all_0_158_158, op2(e22, e21) = e20, yields:
% 31.33/8.41 | (6529) all_0_158_158 = e20
% 31.33/8.41 |
% 31.33/8.41 | Combining equations (9519,9078) yields a new equation:
% 31.33/8.41 | (9523) all_0_144_144 = all_0_145_145
% 31.33/8.41 |
% 31.33/8.41 | Simplifying 9523 yields:
% 31.33/8.41 | (623) all_0_144_144 = all_0_145_145
% 31.33/8.41 |
% 31.33/8.41 | Combining equations (6448,623) yields a new equation:
% 31.33/8.41 | (6394) all_0_145_145 = e23
% 31.33/8.41 |
% 31.33/8.41 +-Applying beta-rule and splitting (69), into two cases.
% 31.33/8.41 |-Branch one:
% 31.40/8.41 | (6421) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)) | (all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20))
% 31.40/8.41 |
% 31.40/8.41 +-Applying beta-rule and splitting (6421), into two cases.
% 31.40/8.41 |-Branch one:
% 31.40/8.41 | (6422) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22))
% 31.40/8.41 |
% 31.40/8.41 +-Applying beta-rule and splitting (6422), into two cases.
% 31.40/8.41 |-Branch one:
% 31.40/8.41 | (6423) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23))
% 31.40/8.42 |
% 31.40/8.42 +-Applying beta-rule and splitting (6423), into two cases.
% 31.40/8.42 |-Branch one:
% 31.40/8.42 | (6424) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20))
% 31.40/8.42 |
% 31.40/8.42 +-Applying beta-rule and splitting (6424), into two cases.
% 31.40/8.42 |-Branch one:
% 31.40/8.42 | (6425) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21))
% 31.40/8.42 |
% 31.40/8.42 +-Applying beta-rule and splitting (6425), into two cases.
% 31.40/8.42 |-Branch one:
% 31.40/8.42 | (6426) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23))
% 31.40/8.42 |
% 31.40/8.42 +-Applying beta-rule and splitting (6426), into two cases.
% 31.40/8.42 |-Branch one:
% 31.40/8.42 | (6427) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20))
% 31.40/8.42 |
% 31.40/8.42 +-Applying beta-rule and splitting (6427), into two cases.
% 31.40/8.42 |-Branch one:
% 31.40/8.42 | (6428) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21))
% 31.40/8.42 |
% 31.40/8.42 +-Applying beta-rule and splitting (6428), into two cases.
% 31.40/8.42 |-Branch one:
% 31.40/8.42 | (6429) all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)
% 31.40/8.42 |
% 31.40/8.42 | Applying alpha-rule on (6429) yields:
% 31.40/8.42 | (6430) all_0_135_135 = e22
% 31.40/8.42 | (6431) ~ (all_0_134_134 = e23)
% 31.40/8.42 | (6432) ~ (all_0_136_136 = e22)
% 31.40/8.42 |
% 31.40/8.42 | Combining equations (7201,6430) yields a new equation:
% 31.40/8.42 | (658) e22 = e20
% 31.40/8.42 |
% 31.40/8.42 | Equations (658) can reduce 294 to:
% 31.40/8.42 | (537) $false
% 31.40/8.42 |
% 31.40/8.42 |-The branch is then unsatisfiable
% 31.40/8.42 |-Branch two:
% 31.40/8.42 | (6434) all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)
% 31.40/8.42 |
% 31.40/8.42 | Applying alpha-rule on (6434) yields:
% 31.40/8.42 | (6435) all_0_138_138 = e21
% 31.40/8.42 | (6436) ~ (all_0_137_137 = e23)
% 31.40/8.42 | (6437) ~ (all_0_139_139 = e21)
% 31.40/8.42 |
% 31.40/8.42 | Combining equations (8486,6435) yields a new equation:
% 31.40/8.42 | (6913) e22 = e21
% 31.40/8.42 |
% 31.40/8.42 | Simplifying 6913 yields:
% 31.40/8.42 | (6323) e22 = e21
% 31.40/8.42 |
% 31.40/8.42 | Equations (6323) can reduce 92 to:
% 31.40/8.42 | (537) $false
% 31.40/8.42 |
% 31.40/8.42 |-The branch is then unsatisfiable
% 31.40/8.42 |-Branch two:
% 31.40/8.42 | (6441) all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)
% 31.40/8.42 |
% 31.40/8.42 | Applying alpha-rule on (6441) yields:
% 31.40/8.42 | (6442) all_0_141_141 = e20
% 31.40/8.42 | (6443) ~ (all_0_140_140 = e23)
% 31.40/8.42 | (6444) ~ (all_0_142_142 = e20)
% 31.40/8.42 |
% 31.40/8.42 | Combining equations (555,6442) yields a new equation:
% 31.40/8.42 | (663) e21 = e20
% 31.40/8.42 |
% 31.40/8.42 | Simplifying 663 yields:
% 31.40/8.42 | (664) e21 = e20
% 31.40/8.42 |
% 31.40/8.42 | Equations (664) can reduce 401 to:
% 31.40/8.42 | (537) $false
% 31.40/8.42 |
% 31.40/8.42 |-The branch is then unsatisfiable
% 31.40/8.42 |-Branch two:
% 31.40/8.42 | (6447) all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)
% 31.40/8.42 |
% 31.40/8.42 | Applying alpha-rule on (6447) yields:
% 31.40/8.42 | (6448) all_0_144_144 = e23
% 31.40/8.42 | (6449) ~ (all_0_143_143 = e22)
% 31.40/8.42 | (6450) ~ (all_0_145_145 = e23)
% 31.40/8.42 |
% 31.40/8.42 | Equations (6394) can reduce 6450 to:
% 31.40/8.42 | (537) $false
% 31.40/8.42 |
% 31.40/8.42 |-The branch is then unsatisfiable
% 31.40/8.42 |-Branch two:
% 31.40/8.42 | (6452) all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)
% 31.40/8.42 |
% 31.40/8.42 | Applying alpha-rule on (6452) yields:
% 31.40/8.42 | (6453) all_0_149_149 = e21
% 31.40/8.42 | (6454) ~ (all_0_148_148 = e22)
% 31.40/8.42 | (6455) ~ (all_0_150_150 = e21)
% 31.40/8.42 |
% 31.40/8.43 | Equations (7203) can reduce 6455 to:
% 31.40/8.43 | (537) $false
% 31.40/8.43 |
% 31.40/8.43 |-The branch is then unsatisfiable
% 31.40/8.43 |-Branch two:
% 31.40/8.43 | (6458) all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)
% 31.40/8.43 |
% 31.40/8.43 | Applying alpha-rule on (6458) yields:
% 31.40/8.43 | (6459) all_0_152_152 = e20
% 31.40/8.43 | (6460) ~ (all_0_151_151 = e22)
% 31.40/8.43 | (6461) ~ (all_0_153_153 = e20)
% 31.40/8.43 |
% 31.40/8.43 | Combining equations (6527,6459) yields a new equation:
% 31.40/8.43 | (657) e22 = e20
% 31.40/8.43 |
% 31.40/8.43 | Simplifying 657 yields:
% 31.40/8.43 | (658) e22 = e20
% 31.40/8.43 |
% 31.40/8.43 | Equations (658) can reduce 294 to:
% 31.40/8.43 | (537) $false
% 31.40/8.43 |
% 31.40/8.43 |-The branch is then unsatisfiable
% 31.43/8.43 |-Branch two:
% 31.43/8.43 | (6465) all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)
% 31.43/8.43 |
% 31.43/8.43 | Applying alpha-rule on (6465) yields:
% 31.43/8.43 | (6466) all_0_155_155 = e23
% 31.43/8.43 | (6467) ~ (all_0_154_154 = e21)
% 31.43/8.43 | (6468) ~ (all_0_156_156 = e23)
% 31.43/8.43 |
% 31.43/8.43 | Combining equations (6466,6340) yields a new equation:
% 31.43/8.43 | (638) e23 = e22
% 31.43/8.43 |
% 31.43/8.43 | Simplifying 638 yields:
% 31.43/8.43 | (639) e23 = e22
% 31.43/8.43 |
% 31.43/8.43 | Equations (639) can reduce 449 to:
% 31.43/8.43 | (537) $false
% 31.43/8.43 |
% 31.43/8.43 |-The branch is then unsatisfiable
% 31.43/8.43 |-Branch two:
% 31.43/8.43 | (6471) all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)
% 31.43/8.43 |
% 31.43/8.43 | Applying alpha-rule on (6471) yields:
% 31.43/8.43 | (6472) all_0_158_158 = e22
% 31.43/8.43 | (6473) ~ (all_0_157_157 = e21)
% 31.43/8.43 | (6474) ~ (all_0_159_159 = e22)
% 31.43/8.43 |
% 31.43/8.43 | Combining equations (6529,6472) yields a new equation:
% 31.43/8.43 | (658) e22 = e20
% 31.43/8.43 |
% 31.43/8.43 | Equations (658) can reduce 294 to:
% 31.43/8.43 | (537) $false
% 31.43/8.43 |
% 31.43/8.43 |-The branch is then unsatisfiable
% 31.43/8.43 |-Branch two:
% 31.43/8.43 | (6478) all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20)
% 31.43/8.43 |
% 31.43/8.43 | Applying alpha-rule on (6478) yields:
% 31.43/8.43 | (6479) all_0_163_163 = e20
% 31.43/8.43 | (6480) ~ (all_0_162_162 = e21)
% 31.43/8.43 | (6481) ~ (all_0_164_164 = e20)
% 31.43/8.43 |
% 31.43/8.43 | Combining equations (6530,6479) yields a new equation:
% 31.43/8.43 | (683) e23 = e20
% 31.43/8.43 |
% 31.43/8.43 | Simplifying 683 yields:
% 31.43/8.43 | (684) e23 = e20
% 31.43/8.43 |
% 31.43/8.43 | Equations (684) can reduce 14 to:
% 31.43/8.43 | (537) $false
% 31.43/8.43 |
% 31.43/8.43 |-The branch is then unsatisfiable
% 31.43/8.43 |-Branch two:
% 31.43/8.43 | (6483) all_0_237_237 = e21 & ~ (all_0_236_236 = e20)
% 31.43/8.43 |
% 31.43/8.43 | Applying alpha-rule on (6483) yields:
% 31.43/8.43 | (523) all_0_237_237 = e21
% 31.43/8.43 | (660) ~ (all_0_236_236 = e20)
% 31.43/8.43 |
% 31.43/8.43 | Combining equations (523,589) yields a new equation:
% 31.43/8.43 | (590) e23 = e21
% 31.43/8.43 |
% 31.43/8.43 | Equations (590) can reduce 215 to:
% 31.43/8.43 | (537) $false
% 31.43/8.43 |
% 31.43/8.43 |-The branch is then unsatisfiable
% 31.43/8.43 |-Branch two:
% 31.43/8.43 | (6287) ~ (all_0_243_243 = e22)
% 31.43/8.43 | (6288) all_0_243_243 = e23 | all_0_243_243 = e20
% 31.43/8.43 |
% 31.43/8.43 +-Applying beta-rule and splitting (650), into two cases.
% 31.43/8.43 |-Branch one:
% 31.43/8.43 | (6372) all_0_239_239 = e22
% 31.43/8.43 |
% 31.43/8.43 | Combining equations (692,6372) yields a new equation:
% 31.43/8.43 | (638) e23 = e22
% 31.43/8.43 |
% 31.43/8.43 | Simplifying 638 yields:
% 31.43/8.43 | (639) e23 = e22
% 31.43/8.43 |
% 31.43/8.43 | Equations (639) can reduce 449 to:
% 31.43/8.43 | (537) $false
% 31.43/8.43 |
% 31.43/8.43 |-The branch is then unsatisfiable
% 31.43/8.43 |-Branch two:
% 31.43/8.43 | (6318) ~ (all_0_239_239 = e22)
% 31.43/8.43 | (689) all_0_243_243 = e22
% 31.43/8.43 |
% 31.43/8.43 | Equations (689) can reduce 6287 to:
% 31.43/8.43 | (537) $false
% 31.43/8.43 |
% 31.43/8.43 |-The branch is then unsatisfiable
% 31.43/8.43 |-Branch two:
% 31.43/8.43 | (600) ~ (all_0_242_242 = e23)
% 31.43/8.43 | (601) all_0_243_243 = e23 | all_0_245_245 = e23
% 31.43/8.43 |
% 31.43/8.43 +-Applying beta-rule and splitting (394), into two cases.
% 31.43/8.43 |-Branch one:
% 31.43/8.43 | (689) all_0_243_243 = e22
% 31.43/8.43 |
% 31.43/8.43 | Equations (689) can reduce 392 to:
% 31.43/8.43 | (6325) ~ (all_0_242_242 = e22)
% 31.43/8.43 |
% 31.43/8.43 +-Applying beta-rule and splitting (7949), into two cases.
% 31.43/8.43 |-Branch one:
% 31.43/8.43 | (6322) all_0_242_242 = e22
% 31.43/8.43 |
% 31.43/8.44 | Equations (6322) can reduce 6325 to:
% 31.43/8.44 | (537) $false
% 31.43/8.44 |
% 31.43/8.44 |-The branch is then unsatisfiable
% 31.43/8.44 |-Branch two:
% 31.43/8.44 | (6325) ~ (all_0_242_242 = e22)
% 31.43/8.44 | (596) all_0_242_242 = e23
% 31.43/8.44 |
% 31.43/8.44 | Equations (596) can reduce 600 to:
% 31.43/8.44 | (537) $false
% 31.43/8.44 |
% 31.43/8.44 |-The branch is then unsatisfiable
% 31.43/8.44 |-Branch two:
% 31.43/8.44 | (6287) ~ (all_0_243_243 = e22)
% 31.43/8.44 | (6288) all_0_243_243 = e23 | all_0_243_243 = e20
% 31.43/8.44 |
% 31.43/8.44 +-Applying beta-rule and splitting (650), into two cases.
% 31.43/8.44 |-Branch one:
% 31.43/8.44 | (6372) all_0_239_239 = e22
% 31.43/8.44 |
% 31.43/8.44 | Combining equations (692,6372) yields a new equation:
% 31.43/8.44 | (638) e23 = e22
% 31.43/8.44 |
% 31.43/8.44 | Simplifying 638 yields:
% 31.43/8.44 | (639) e23 = e22
% 31.43/8.44 |
% 31.43/8.44 | Equations (639) can reduce 449 to:
% 31.43/8.44 | (537) $false
% 31.43/8.44 |
% 31.43/8.44 |-The branch is then unsatisfiable
% 31.43/8.44 |-Branch two:
% 31.43/8.44 | (6318) ~ (all_0_239_239 = e22)
% 31.43/8.44 | (689) all_0_243_243 = e22
% 31.43/8.44 |
% 31.43/8.44 | Equations (689) can reduce 6287 to:
% 31.43/8.44 | (537) $false
% 31.43/8.44 |
% 31.43/8.44 |-The branch is then unsatisfiable
% 31.43/8.44 |-Branch two:
% 31.43/8.44 | (6283) ~ (all_0_239_239 = e23)
% 31.43/8.44 | (6389) all_0_239_239 = e20
% 31.43/8.44 |
% 31.43/8.44 | Equations (6389) can reduce 6378 to:
% 31.43/8.44 | (537) $false
% 31.43/8.44 |
% 31.43/8.44 |-The branch is then unsatisfiable
% 31.43/8.44 |-Branch two:
% 31.43/8.44 | (6622) ~ (all_0_238_238 = e22)
% 31.43/8.44 | (6652) all_0_239_239 = e22 | all_0_240_240 = e22
% 31.43/8.44 |
% 31.43/8.44 +-Applying beta-rule and splitting (281), into two cases.
% 31.43/8.44 |-Branch one:
% 31.43/8.44 | (647) all_0_235_235 = e22
% 31.43/8.44 |
% 31.43/8.44 | Combining equations (647,651) yields a new equation:
% 31.43/8.44 | (657) e22 = e20
% 31.43/8.44 |
% 31.43/8.44 | Simplifying 657 yields:
% 31.43/8.44 | (658) e22 = e20
% 31.43/8.44 |
% 31.43/8.44 | Equations (658) can reduce 294 to:
% 31.43/8.44 | (537) $false
% 31.43/8.44 |
% 31.43/8.44 |-The branch is then unsatisfiable
% 31.43/8.44 |-Branch two:
% 31.43/8.44 | (646) ~ (all_0_235_235 = e22)
% 31.43/8.44 | (650) all_0_239_239 = e22 | all_0_243_243 = e22
% 31.43/8.44 |
% 31.43/8.44 +-Applying beta-rule and splitting (650), into two cases.
% 31.43/8.44 |-Branch one:
% 31.43/8.44 | (6372) all_0_239_239 = e22
% 31.43/8.44 |
% 31.43/8.44 | Equations (6372) can reduce 6318 to:
% 31.43/8.44 | (537) $false
% 31.43/8.44 |
% 31.43/8.44 |-The branch is then unsatisfiable
% 31.43/8.44 |-Branch two:
% 31.43/8.44 | (6318) ~ (all_0_239_239 = e22)
% 31.43/8.44 | (689) all_0_243_243 = e22
% 31.43/8.44 |
% 31.43/8.44 | Equations (689) can reduce 392 to:
% 31.43/8.44 | (6325) ~ (all_0_242_242 = e22)
% 31.43/8.44 |
% 31.43/8.44 +-Applying beta-rule and splitting (568), into two cases.
% 31.43/8.44 |-Branch one:
% 31.43/8.44 | (610) all_0_238_238 = e22
% 31.43/8.44 |
% 31.43/8.44 | Equations (610) can reduce 6622 to:
% 31.43/8.44 | (537) $false
% 31.43/8.44 |
% 31.43/8.44 |-The branch is then unsatisfiable
% 31.43/8.44 |-Branch two:
% 31.43/8.44 | (6622) ~ (all_0_238_238 = e22)
% 31.43/8.44 | (637) all_0_238_238 = e23
% 31.43/8.44 |
% 31.43/8.44 | Equations (637) can reduce 6622 to:
% 31.43/8.44 | (449) ~ (e23 = e22)
% 31.43/8.44 |
% 31.43/8.44 +-Applying beta-rule and splitting (6917), into two cases.
% 31.43/8.44 |-Branch one:
% 31.43/8.44 | (610) all_0_238_238 = e22
% 31.43/8.44 |
% 31.43/8.44 | Combining equations (610,637) yields a new equation:
% 31.43/8.44 | (639) e23 = e22
% 31.43/8.44 |
% 31.43/8.44 | Equations (639) can reduce 449 to:
% 31.43/8.44 | (537) $false
% 31.43/8.44 |
% 31.43/8.44 |-The branch is then unsatisfiable
% 31.43/8.44 |-Branch two:
% 31.43/8.44 | (6622) ~ (all_0_238_238 = e22)
% 31.43/8.44 | (6322) all_0_242_242 = e22
% 31.43/8.44 |
% 31.43/8.44 | Equations (6322) can reduce 6325 to:
% 31.43/8.44 | (537) $false
% 31.43/8.44 |
% 31.43/8.44 |-The branch is then unsatisfiable
% 31.43/8.44 |-Branch two:
% 31.43/8.44 | (592) ~ (all_0_237_237 = e23)
% 31.43/8.44 | (593) all_0_241_241 = e23 | all_0_245_245 = e23
% 31.43/8.44 |
% 31.43/8.44 +-Applying beta-rule and splitting (6626), into two cases.
% 31.43/8.44 |-Branch one:
% 31.43/8.44 | (633) all_0_235_235 = e23
% 31.43/8.44 |
% 31.43/8.44 | Equations (633) can reduce 107 to:
% 31.43/8.44 | (8662) ~ (all_0_236_236 = e23)
% 31.43/8.44 |
% 31.43/8.44 | Simplifying 8662 yields:
% 31.43/8.44 | (425) ~ (all_0_236_236 = e23)
% 31.43/8.44 |
% 31.43/8.44 | Equations (633) can reduce 447 to:
% 31.43/8.44 | (7649) ~ (all_0_237_237 = e23)
% 31.43/8.44 |
% 31.43/8.44 | Simplifying 7649 yields:
% 31.43/8.44 | (592) ~ (all_0_237_237 = e23)
% 31.43/8.44 |
% 31.43/8.44 | Equations (633) can reduce 416 to:
% 31.43/8.44 | (215) ~ (e23 = e21)
% 31.43/8.44 |
% 31.43/8.44 | From (633) and (325) follows:
% 31.43/8.44 | (7331) op2(e23, e23) = all_0_135_135
% 31.43/8.44 |
% 31.43/8.44 | From (633) and (313) follows:
% 31.43/8.44 | (7332) op2(e23, e23) = all_0_136_136
% 31.43/8.44 |
% 31.43/8.44 | From (633) and (163) follows:
% 31.43/8.45 | (9660) op2(e22, e23) = all_0_99_99
% 31.43/8.45 |
% 31.43/8.45 +-Applying beta-rule and splitting (397), into two cases.
% 31.43/8.45 |-Branch one:
% 31.43/8.45 | (637) all_0_238_238 = e23
% 31.43/8.45 |
% 31.43/8.45 | Equations (637) can reduce 287 to:
% 31.43/8.45 | (7326) ~ (all_0_239_239 = e23)
% 31.43/8.45 |
% 31.43/8.45 | Simplifying 7326 yields:
% 31.43/8.45 | (6283) ~ (all_0_239_239 = e23)
% 31.43/8.45 |
% 31.43/8.45 | Equations (637) can reduce 306 to:
% 31.43/8.45 | (7044) ~ (all_0_240_240 = e23)
% 31.43/8.45 |
% 31.43/8.45 | Simplifying 7044 yields:
% 31.43/8.45 | (327) ~ (all_0_240_240 = e23)
% 31.43/8.45 |
% 31.43/8.45 | From (637) and (70) follows:
% 31.43/8.45 | (7048) op2(e23, e23) = all_0_143_143
% 31.43/8.45 |
% 31.43/8.45 | From (637) and (283) follows:
% 31.43/8.45 | (7050) op2(e23, e23) = all_0_108_108
% 31.43/8.45 |
% 31.43/8.45 | From (637) and (235) follows:
% 31.43/8.45 | (7051) op2(e22, e23) = all_0_145_145
% 31.43/8.45 |
% 31.43/8.45 | From (637) and (171) follows:
% 31.43/8.45 | (7052) op2(e22, e23) = e23
% 31.43/8.45 |
% 31.43/8.45 +-Applying beta-rule and splitting (7004), into two cases.
% 31.43/8.45 |-Branch one:
% 31.43/8.45 | (589) all_0_237_237 = e23
% 31.43/8.45 |
% 31.43/8.45 | Equations (589) can reduce 592 to:
% 31.43/8.45 | (537) $false
% 31.43/8.45 |
% 31.43/8.45 |-The branch is then unsatisfiable
% 31.43/8.45 |-Branch two:
% 31.43/8.45 | (592) ~ (all_0_237_237 = e23)
% 31.43/8.45 | (675) all_0_237_237 = e20
% 31.43/8.45 |
% 31.43/8.45 | Equations (675) can reduce 159 to:
% 31.43/8.45 | (660) ~ (all_0_236_236 = e20)
% 31.43/8.45 |
% 31.43/8.45 | Equations (675) can reduce 418 to:
% 31.43/8.45 | (669) ~ (all_0_245_245 = e20)
% 31.43/8.45 |
% 31.43/8.45 | Simplifying 669 yields:
% 31.43/8.45 | (670) ~ (all_0_245_245 = e20)
% 31.43/8.45 |
% 31.43/8.45 | From (675) and (4) follows:
% 31.43/8.45 | (7316) op2(e23, e20) = all_0_142_142
% 31.43/8.45 |
% 31.43/8.45 | From (675) and (441) follows:
% 31.43/8.45 | (7317) op2(e23, e20) = e20
% 31.43/8.45 |
% 31.43/8.45 | From (675) and (279) follows:
% 31.43/8.45 | (7318) op2(e22, e20) = all_0_105_105
% 31.43/8.45 |
% 31.43/8.45 +-Applying beta-rule and splitting (580), into two cases.
% 31.43/8.45 |-Branch one:
% 31.43/8.45 | (645) all_0_236_236 = e22
% 31.43/8.45 |
% 31.43/8.45 | Equations (645) can reduce 79 to:
% 31.43/8.45 | (7133) ~ (all_0_240_240 = e22)
% 31.43/8.45 |
% 31.43/8.45 | Simplifying 7133 yields:
% 31.43/8.45 | (6338) ~ (all_0_240_240 = e22)
% 31.43/8.45 |
% 31.43/8.45 | Equations (645) can reduce 425 to:
% 31.43/8.45 | (613) ~ (e23 = e22)
% 31.43/8.45 |
% 31.43/8.45 | Simplifying 613 yields:
% 31.43/8.45 | (449) ~ (e23 = e22)
% 31.43/8.45 |
% 31.43/8.45 | From (645) and (285) follows:
% 31.43/8.45 | (8130) op2(e22, e23) = all_0_138_138
% 31.43/8.45 |
% 31.43/8.45 | From (645) and (132) follows:
% 31.43/8.45 | (8131) op2(e22, e21) = all_0_137_137
% 31.43/8.45 |
% 31.43/8.45 | From (645) and (451) follows:
% 31.43/8.45 | (8710) op2(e23, e21) = e22
% 31.43/8.45 |
% 31.43/8.45 +-Applying beta-rule and splitting (94), into two cases.
% 31.43/8.45 |-Branch one:
% 31.43/8.45 | (610) all_0_238_238 = e22
% 31.43/8.45 |
% 31.43/8.45 | Combining equations (637,610) yields a new equation:
% 31.43/8.45 | (638) e23 = e22
% 31.43/8.45 |
% 31.43/8.45 | Simplifying 638 yields:
% 31.43/8.45 | (639) e23 = e22
% 31.43/8.45 |
% 31.43/8.45 | Equations (639) can reduce 449 to:
% 31.43/8.45 | (537) $false
% 31.43/8.45 |
% 31.43/8.45 |-The branch is then unsatisfiable
% 31.43/8.45 |-Branch two:
% 31.43/8.45 | (6622) ~ (all_0_238_238 = e22)
% 31.43/8.45 | (6652) all_0_239_239 = e22 | all_0_240_240 = e22
% 31.43/8.45 |
% 31.43/8.45 +-Applying beta-rule and splitting (572), into two cases.
% 31.43/8.45 |-Branch one:
% 31.43/8.45 | (687) all_0_245_245 = e23
% 31.43/8.45 |
% 31.43/8.45 | Equations (687) can reduce 44 to:
% 31.43/8.45 | (600) ~ (all_0_242_242 = e23)
% 31.43/8.45 |
% 31.43/8.45 | Equations (687) can reduce 506 to:
% 31.43/8.45 | (215) ~ (e23 = e21)
% 31.43/8.45 |
% 31.43/8.45 | Equations (687) can reduce 670 to:
% 31.43/8.45 | (14) ~ (e23 = e20)
% 31.43/8.45 |
% 31.43/8.45 | From (687) and (110) follows:
% 31.43/8.45 | (7322) op2(e23, e21) = all_0_163_163
% 31.43/8.45 |
% 31.43/8.45 | From (687) and (330) follows:
% 31.43/8.45 | (7324) op2(e23, e23) = all_0_129_129
% 31.43/8.45 |
% 31.43/8.45 | From (687) and (164) follows:
% 31.43/8.45 | (9700) op2(e22, e23) = all_0_130_130
% 31.43/8.45 |
% 31.43/8.45 +-Applying beta-rule and splitting (188), into two cases.
% 31.43/8.45 |-Branch one:
% 31.43/8.45 | (6292) all_0_243_243 = e20
% 31.43/8.45 |
% 31.43/8.45 | Equations (6292) can reduce 32 to:
% 31.43/8.45 | (6378) ~ (all_0_239_239 = e20)
% 31.43/8.45 |
% 31.43/8.45 | Equations (6292) can reduce 74 to:
% 31.43/8.45 | (654) ~ (e21 = e20)
% 31.43/8.45 |
% 31.43/8.45 | Simplifying 654 yields:
% 31.43/8.45 | (401) ~ (e21 = e20)
% 31.43/8.45 |
% 31.43/8.45 | From (6292) and (258) follows:
% 31.43/8.45 | (6382) op2(e20, e21) = all_0_158_158
% 31.43/8.45 |
% 31.43/8.45 | From (6292) and (376) follows:
% 31.43/8.45 | (7716) op2(e23, e20) = all_0_123_123
% 31.43/8.45 |
% 31.43/8.45 | From (6292) and (30) follows:
% 31.43/8.45 | (7717) op2(e22, e20) = all_0_124_124
% 31.43/8.45 |
% 31.43/8.45 +-Applying beta-rule and splitting (254), into two cases.
% 31.43/8.45 |-Branch one:
% 31.43/8.45 | (6322) all_0_242_242 = e22
% 31.43/8.45 |
% 31.43/8.45 | From (6322) and (97) follows:
% 31.43/8.45 | (8135) op2(e22, e21) = all_0_155_155
% 31.43/8.45 |
% 31.43/8.45 +-Applying beta-rule and splitting (234), into two cases.
% 31.43/8.45 |-Branch one:
% 31.43/8.45 | (6389) all_0_239_239 = e20
% 31.43/8.45 |
% 31.43/8.46 | Equations (6389) can reduce 6378 to:
% 31.43/8.46 | (537) $false
% 31.43/8.46 |
% 31.43/8.46 |-The branch is then unsatisfiable
% 31.43/8.46 |-Branch two:
% 31.43/8.46 | (6378) ~ (all_0_239_239 = e20)
% 31.43/8.46 | (6392) all_0_240_240 = e20 | all_0_241_241 = e20
% 31.43/8.46 |
% 31.43/8.46 +-Applying beta-rule and splitting (82), into two cases.
% 31.43/8.46 |-Branch one:
% 31.43/8.46 | (6372) all_0_239_239 = e22
% 31.43/8.46 |
% 31.43/8.46 | Equations (6372) can reduce 84 to:
% 31.43/8.46 | (7133) ~ (all_0_240_240 = e22)
% 31.43/8.46 |
% 31.43/8.46 | Simplifying 7133 yields:
% 31.43/8.46 | (6338) ~ (all_0_240_240 = e22)
% 31.43/8.46 |
% 31.43/8.46 | Equations (6372) can reduce 6283 to:
% 31.43/8.46 | (613) ~ (e23 = e22)
% 31.43/8.46 |
% 31.43/8.46 | Simplifying 613 yields:
% 31.43/8.46 | (449) ~ (e23 = e22)
% 31.43/8.46 |
% 31.43/8.46 | Equations (6372) can reduce 18 to:
% 31.43/8.46 | (92) ~ (e22 = e21)
% 31.43/8.46 |
% 31.43/8.46 +-Applying beta-rule and splitting (6392), into two cases.
% 31.43/8.46 |-Branch one:
% 31.43/8.46 | (662) all_0_240_240 = e20
% 31.43/8.46 |
% 31.43/8.46 | Combining equations (662,6982) yields a new equation:
% 31.43/8.46 | (7483) all_0_153_153 = e20
% 31.43/8.46 |
% 31.43/8.46 | Equations (662) can reduce 327 to:
% 31.43/8.46 | (671) ~ (e23 = e20)
% 31.43/8.46 |
% 31.43/8.46 | Simplifying 671 yields:
% 31.43/8.46 | (14) ~ (e23 = e20)
% 31.43/8.46 |
% 31.43/8.46 | Equations (662) can reduce 6338 to:
% 31.43/8.46 | (652) ~ (e22 = e20)
% 31.43/8.46 |
% 31.43/8.46 | Simplifying 652 yields:
% 31.43/8.46 | (294) ~ (e22 = e20)
% 31.43/8.46 |
% 31.43/8.46 | Equations (662) can reduce 6938 to:
% 31.43/8.46 | (654) ~ (e21 = e20)
% 31.43/8.46 |
% 31.43/8.46 | Simplifying 654 yields:
% 31.43/8.46 | (401) ~ (e21 = e20)
% 31.43/8.46 |
% 31.43/8.46 | From (662) and (5) follows:
% 31.43/8.46 | (7170) op2(e20, e21) = all_0_148_148
% 31.43/8.46 |
% 31.43/8.46 | From (662) and (105) follows:
% 31.43/8.46 | (7710) op2(e23, e20) = all_0_114_114
% 31.43/8.46 |
% 31.43/8.46 | From (662) and (359) follows:
% 31.43/8.46 | (7171) op2(e22, e20) = all_0_150_150
% 31.43/8.46 |
% 31.43/8.46 | From (662) and (473) follows:
% 31.43/8.46 | (9280) op2(e22, e21) = e20
% 31.43/8.46 |
% 31.43/8.46 | Instantiating formula (340) with e23, e23, all_0_129_129, all_0_108_108 and discharging atoms op2(e23, e23) = all_0_108_108, op2(e23, e23) = all_0_129_129, yields:
% 31.43/8.46 | (9732) all_0_108_108 = all_0_129_129
% 31.43/8.46 |
% 31.43/8.46 | Instantiating formula (340) with e23, e23, all_0_135_135, e21 and discharging atoms op2(e23, e23) = all_0_135_135, op2(e23, e23) = e21, yields:
% 31.43/8.46 | (8733) all_0_135_135 = e21
% 31.43/8.46 |
% 31.43/8.46 | Instantiating formula (340) with e23, e23, all_0_135_135, all_0_129_129 and discharging atoms op2(e23, e23) = all_0_129_129, op2(e23, e23) = all_0_135_135, yields:
% 31.43/8.46 | (7335) all_0_129_129 = all_0_135_135
% 31.43/8.46 |
% 31.43/8.46 | Instantiating formula (340) with e23, e23, all_0_136_136, all_0_135_135 and discharging atoms op2(e23, e23) = all_0_135_135, op2(e23, e23) = all_0_136_136, yields:
% 31.43/8.46 | (7344) all_0_135_135 = all_0_136_136
% 31.43/8.46 |
% 31.43/8.46 | Instantiating formula (340) with e23, e23, all_0_143_143, all_0_108_108 and discharging atoms op2(e23, e23) = all_0_108_108, op2(e23, e23) = all_0_143_143, yields:
% 31.43/8.46 | (7054) all_0_108_108 = all_0_143_143
% 31.43/8.46 |
% 31.43/8.46 | Instantiating formula (340) with e23, e21, e22, all_0_163_163 and discharging atoms op2(e23, e21) = all_0_163_163, op2(e23, e21) = e22, yields:
% 31.43/8.46 | (8332) all_0_163_163 = e22
% 31.43/8.46 |
% 31.43/8.46 | Instantiating formula (340) with e23, e20, all_0_123_123, all_0_114_114 and discharging atoms op2(e23, e20) = all_0_114_114, op2(e23, e20) = all_0_123_123, yields:
% 31.43/8.46 | (7723) all_0_114_114 = all_0_123_123
% 31.43/8.46 |
% 31.43/8.46 | Instantiating formula (340) with e23, e20, all_0_142_142, all_0_123_123 and discharging atoms op2(e23, e20) = all_0_123_123, op2(e23, e20) = all_0_142_142, yields:
% 31.43/8.46 | (7724) all_0_123_123 = all_0_142_142
% 31.43/8.46 |
% 31.43/8.46 | Instantiating formula (340) with e23, e20, e20, all_0_114_114 and discharging atoms op2(e23, e20) = all_0_114_114, op2(e23, e20) = e20, yields:
% 31.43/8.46 | (7725) all_0_114_114 = e20
% 31.43/8.46 |
% 31.43/8.46 | Instantiating formula (340) with e22, e23, all_0_130_130, all_0_99_99 and discharging atoms op2(e22, e23) = all_0_99_99, op2(e22, e23) = all_0_130_130, yields:
% 31.43/8.46 | (7187) all_0_99_99 = all_0_130_130
% 31.43/8.46 |
% 31.43/8.46 | Instantiating formula (340) with e22, e23, all_0_138_138, all_0_99_99 and discharging atoms op2(e22, e23) = all_0_99_99, op2(e22, e23) = all_0_138_138, yields:
% 31.43/8.46 | (9742) all_0_99_99 = all_0_138_138
% 31.43/8.46 |
% 31.43/8.46 | Instantiating formula (340) with e22, e23, all_0_145_145, all_0_138_138 and discharging atoms op2(e22, e23) = all_0_138_138, op2(e22, e23) = all_0_145_145, yields:
% 31.43/8.46 | (9743) all_0_138_138 = all_0_145_145
% 31.43/8.46 |
% 31.43/8.46 | Instantiating formula (340) with e22, e23, e23, all_0_99_99 and discharging atoms op2(e22, e23) = all_0_99_99, op2(e22, e23) = e23, yields:
% 31.43/8.46 | (7731) all_0_99_99 = e23
% 31.43/8.46 |
% 31.43/8.46 | Instantiating formula (340) with e22, e21, all_0_155_155, all_0_137_137 and discharging atoms op2(e22, e21) = all_0_137_137, op2(e22, e21) = all_0_155_155, yields:
% 31.43/8.46 | (8141) all_0_137_137 = all_0_155_155
% 31.43/8.46 |
% 31.43/8.46 | Instantiating formula (340) with e22, e21, e20, all_0_137_137 and discharging atoms op2(e22, e21) = all_0_137_137, op2(e22, e21) = e20, yields:
% 31.43/8.46 | (9284) all_0_137_137 = e20
% 31.43/8.46 |
% 31.43/8.46 | Instantiating formula (340) with e22, e20, all_0_105_105, e21 and discharging atoms op2(e22, e20) = all_0_105_105, op2(e22, e20) = e21, yields:
% 31.43/8.46 | (7340) all_0_105_105 = e21
% 31.43/8.46 |
% 31.43/8.46 | Instantiating formula (340) with e22, e20, all_0_124_124, all_0_105_105 and discharging atoms op2(e22, e20) = all_0_105_105, op2(e22, e20) = all_0_124_124, yields:
% 31.43/8.46 | (7733) all_0_105_105 = all_0_124_124
% 31.43/8.46 |
% 31.43/8.46 | Instantiating formula (340) with e22, e20, all_0_150_150, all_0_105_105 and discharging atoms op2(e22, e20) = all_0_105_105, op2(e22, e20) = all_0_150_150, yields:
% 31.43/8.46 | (7734) all_0_105_105 = all_0_150_150
% 31.43/8.46 |
% 31.43/8.46 | Instantiating formula (340) with e20, e21, all_0_148_148, e23 and discharging atoms op2(e20, e21) = all_0_148_148, op2(e20, e21) = e23, yields:
% 31.43/8.46 | (7192) all_0_148_148 = e23
% 31.43/8.46 |
% 31.43/8.46 | Instantiating formula (340) with e20, e21, all_0_158_158, all_0_148_148 and discharging atoms op2(e20, e21) = all_0_148_148, op2(e20, e21) = all_0_158_158, yields:
% 31.43/8.47 | (7501) all_0_148_148 = all_0_158_158
% 31.43/8.47 |
% 31.43/8.47 | Combining equations (9742,7187) yields a new equation:
% 31.43/8.47 | (9752) all_0_130_130 = all_0_138_138
% 31.43/8.47 |
% 31.43/8.47 | Combining equations (7731,7187) yields a new equation:
% 31.43/8.47 | (9753) all_0_130_130 = e23
% 31.43/8.47 |
% 31.43/8.47 | Combining equations (7340,7733) yields a new equation:
% 31.43/8.47 | (7744) all_0_124_124 = e21
% 31.43/8.47 |
% 31.43/8.47 | Combining equations (7734,7733) yields a new equation:
% 31.43/8.47 | (7743) all_0_124_124 = all_0_150_150
% 31.43/8.47 |
% 31.43/8.47 | Combining equations (9732,7054) yields a new equation:
% 31.43/8.47 | (9756) all_0_129_129 = all_0_143_143
% 31.43/8.47 |
% 31.43/8.47 | Simplifying 9756 yields:
% 31.43/8.47 | (9757) all_0_129_129 = all_0_143_143
% 31.43/8.47 |
% 31.43/8.47 | Combining equations (7723,7725) yields a new equation:
% 31.43/8.47 | (7747) all_0_123_123 = e20
% 31.43/8.47 |
% 31.43/8.47 | Simplifying 7747 yields:
% 31.43/8.47 | (7748) all_0_123_123 = e20
% 31.43/8.47 |
% 31.43/8.47 | Combining equations (7724,7748) yields a new equation:
% 31.43/8.47 | (7749) all_0_142_142 = e20
% 31.43/8.47 |
% 31.43/8.47 | Simplifying 7749 yields:
% 31.43/8.47 | (7339) all_0_142_142 = e20
% 31.43/8.47 |
% 31.43/8.47 | Combining equations (7743,7744) yields a new equation:
% 31.43/8.47 | (7202) all_0_150_150 = e21
% 31.43/8.47 |
% 31.43/8.47 | Simplifying 7202 yields:
% 31.43/8.47 | (7203) all_0_150_150 = e21
% 31.43/8.47 |
% 31.43/8.47 | Combining equations (7335,9757) yields a new equation:
% 31.43/8.47 | (9764) all_0_135_135 = all_0_143_143
% 31.43/8.47 |
% 31.43/8.47 | Simplifying 9764 yields:
% 31.43/8.47 | (9765) all_0_135_135 = all_0_143_143
% 31.43/8.47 |
% 31.43/8.47 | Combining equations (9752,9753) yields a new equation:
% 31.43/8.47 | (9766) all_0_138_138 = e23
% 31.43/8.47 |
% 31.43/8.47 | Simplifying 9766 yields:
% 31.43/8.47 | (8139) all_0_138_138 = e23
% 31.43/8.47 |
% 31.43/8.47 | Combining equations (8733,7344) yields a new equation:
% 31.43/8.48 | (9768) all_0_136_136 = e21
% 31.43/8.48 |
% 31.43/8.48 | Combining equations (9765,7344) yields a new equation:
% 31.43/8.48 | (9769) all_0_136_136 = all_0_143_143
% 31.43/8.48 |
% 31.43/8.48 | Combining equations (9768,9769) yields a new equation:
% 31.43/8.48 | (9770) all_0_143_143 = e21
% 31.43/8.48 |
% 31.43/8.48 | Combining equations (8141,9284) yields a new equation:
% 31.43/8.48 | (9771) all_0_155_155 = e20
% 31.43/8.48 |
% 31.43/8.48 | Simplifying 9771 yields:
% 31.43/8.48 | (7375) all_0_155_155 = e20
% 31.43/8.48 |
% 31.43/8.48 | Combining equations (9743,8139) yields a new equation:
% 31.43/8.48 | (7067) all_0_145_145 = e23
% 31.43/8.48 |
% 31.43/8.48 | Simplifying 7067 yields:
% 31.43/8.48 | (6394) all_0_145_145 = e23
% 31.43/8.48 |
% 31.43/8.48 | Combining equations (7192,7501) yields a new equation:
% 31.43/8.48 | (6418) all_0_158_158 = e23
% 31.43/8.48 |
% 31.43/8.48 | Combining equations (9770,9769) yields a new equation:
% 31.43/8.48 | (9768) all_0_136_136 = e21
% 31.43/8.48 |
% 31.43/8.48 | Combining equations (9768,7344) yields a new equation:
% 31.43/8.48 | (8733) all_0_135_135 = e21
% 31.43/8.48 |
% 31.43/8.48 +-Applying beta-rule and splitting (69), into two cases.
% 31.43/8.48 |-Branch one:
% 31.43/8.48 | (6421) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)) | (all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20))
% 31.43/8.48 |
% 31.43/8.48 +-Applying beta-rule and splitting (6421), into two cases.
% 31.43/8.48 |-Branch one:
% 31.43/8.48 | (6422) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22))
% 31.43/8.48 |
% 31.43/8.48 +-Applying beta-rule and splitting (6422), into two cases.
% 31.43/8.48 |-Branch one:
% 31.43/8.48 | (6423) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23))
% 31.43/8.48 |
% 31.43/8.48 +-Applying beta-rule and splitting (6423), into two cases.
% 31.43/8.48 |-Branch one:
% 31.43/8.48 | (6424) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20))
% 31.43/8.48 |
% 31.43/8.48 +-Applying beta-rule and splitting (6424), into two cases.
% 31.43/8.48 |-Branch one:
% 31.43/8.48 | (6425) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21))
% 31.43/8.48 |
% 31.43/8.48 +-Applying beta-rule and splitting (6425), into two cases.
% 31.43/8.48 |-Branch one:
% 31.43/8.48 | (6426) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23))
% 31.43/8.48 |
% 31.43/8.48 +-Applying beta-rule and splitting (6426), into two cases.
% 31.43/8.48 |-Branch one:
% 31.43/8.48 | (6427) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20))
% 31.43/8.48 |
% 31.43/8.48 +-Applying beta-rule and splitting (6427), into two cases.
% 31.43/8.48 |-Branch one:
% 31.43/8.48 | (6428) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21))
% 31.43/8.48 |
% 31.43/8.48 +-Applying beta-rule and splitting (6428), into two cases.
% 31.43/8.48 |-Branch one:
% 31.43/8.48 | (6429) all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)
% 31.43/8.48 |
% 31.43/8.48 | Applying alpha-rule on (6429) yields:
% 31.43/8.48 | (6430) all_0_135_135 = e22
% 31.43/8.48 | (6431) ~ (all_0_134_134 = e23)
% 31.43/8.48 | (6432) ~ (all_0_136_136 = e22)
% 31.43/8.48 |
% 31.43/8.49 | Combining equations (8733,6430) yields a new equation:
% 31.43/8.49 | (6323) e22 = e21
% 31.43/8.49 |
% 31.43/8.49 | Equations (6323) can reduce 92 to:
% 31.43/8.49 | (537) $false
% 31.43/8.49 |
% 31.43/8.49 |-The branch is then unsatisfiable
% 31.43/8.49 |-Branch two:
% 31.43/8.49 | (6434) all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)
% 31.43/8.49 |
% 31.43/8.49 | Applying alpha-rule on (6434) yields:
% 31.43/8.49 | (6435) all_0_138_138 = e21
% 31.43/8.49 | (6436) ~ (all_0_137_137 = e23)
% 31.43/8.49 | (6437) ~ (all_0_139_139 = e21)
% 31.43/8.49 |
% 31.43/8.49 | Combining equations (8139,6435) yields a new equation:
% 31.43/8.49 | (597) e23 = e21
% 31.43/8.49 |
% 31.43/8.49 | Simplifying 597 yields:
% 31.43/8.49 | (590) e23 = e21
% 31.43/8.49 |
% 31.43/8.49 | Equations (590) can reduce 215 to:
% 31.43/8.49 | (537) $false
% 31.43/8.49 |
% 31.43/8.49 |-The branch is then unsatisfiable
% 31.43/8.49 |-Branch two:
% 31.43/8.49 | (6441) all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)
% 31.43/8.49 |
% 31.43/8.49 | Applying alpha-rule on (6441) yields:
% 31.43/8.49 | (6442) all_0_141_141 = e20
% 31.43/8.49 | (6443) ~ (all_0_140_140 = e23)
% 31.43/8.49 | (6444) ~ (all_0_142_142 = e20)
% 31.43/8.49 |
% 31.43/8.49 | Equations (7339) can reduce 6444 to:
% 31.43/8.49 | (537) $false
% 31.43/8.49 |
% 31.43/8.49 |-The branch is then unsatisfiable
% 31.43/8.49 |-Branch two:
% 31.43/8.49 | (6447) all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)
% 31.43/8.49 |
% 31.43/8.49 | Applying alpha-rule on (6447) yields:
% 31.43/8.49 | (6448) all_0_144_144 = e23
% 31.43/8.49 | (6449) ~ (all_0_143_143 = e22)
% 31.43/8.49 | (6450) ~ (all_0_145_145 = e23)
% 31.43/8.49 |
% 31.43/8.49 | Equations (6394) can reduce 6450 to:
% 31.43/8.49 | (537) $false
% 31.43/8.49 |
% 31.43/8.49 |-The branch is then unsatisfiable
% 31.43/8.49 |-Branch two:
% 31.43/8.49 | (6452) all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)
% 31.43/8.49 |
% 31.43/8.49 | Applying alpha-rule on (6452) yields:
% 31.43/8.49 | (6453) all_0_149_149 = e21
% 31.43/8.49 | (6454) ~ (all_0_148_148 = e22)
% 31.43/8.49 | (6455) ~ (all_0_150_150 = e21)
% 31.43/8.49 |
% 31.43/8.49 | Equations (7203) can reduce 6455 to:
% 31.43/8.49 | (537) $false
% 31.43/8.49 |
% 31.43/8.49 |-The branch is then unsatisfiable
% 31.43/8.49 |-Branch two:
% 31.43/8.49 | (6458) all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)
% 31.43/8.49 |
% 31.43/8.49 | Applying alpha-rule on (6458) yields:
% 31.43/8.49 | (6459) all_0_152_152 = e20
% 31.43/8.49 | (6460) ~ (all_0_151_151 = e22)
% 31.43/8.49 | (6461) ~ (all_0_153_153 = e20)
% 31.43/8.49 |
% 31.43/8.49 | Equations (7483) can reduce 6461 to:
% 31.43/8.49 | (537) $false
% 31.43/8.49 |
% 31.43/8.49 |-The branch is then unsatisfiable
% 31.43/8.49 |-Branch two:
% 31.43/8.49 | (6465) all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)
% 31.43/8.49 |
% 31.43/8.49 | Applying alpha-rule on (6465) yields:
% 31.43/8.49 | (6466) all_0_155_155 = e23
% 31.43/8.49 | (6467) ~ (all_0_154_154 = e21)
% 31.43/8.49 | (6468) ~ (all_0_156_156 = e23)
% 31.43/8.49 |
% 31.43/8.49 | Combining equations (7375,6466) yields a new equation:
% 31.43/8.49 | (684) e23 = e20
% 31.43/8.49 |
% 31.43/8.49 | Equations (684) can reduce 14 to:
% 31.43/8.49 | (537) $false
% 31.43/8.49 |
% 31.43/8.49 |-The branch is then unsatisfiable
% 31.43/8.49 |-Branch two:
% 31.43/8.49 | (6471) all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)
% 31.43/8.49 |
% 31.43/8.49 | Applying alpha-rule on (6471) yields:
% 31.43/8.50 | (6472) all_0_158_158 = e22
% 31.43/8.50 | (6473) ~ (all_0_157_157 = e21)
% 31.43/8.50 | (6474) ~ (all_0_159_159 = e22)
% 31.43/8.50 |
% 31.43/8.50 | Combining equations (6418,6472) yields a new equation:
% 31.43/8.50 | (638) e23 = e22
% 31.43/8.50 |
% 31.43/8.50 | Simplifying 638 yields:
% 31.43/8.50 | (639) e23 = e22
% 31.43/8.50 |
% 31.43/8.50 | Equations (639) can reduce 449 to:
% 31.43/8.50 | (537) $false
% 31.43/8.50 |
% 31.43/8.50 |-The branch is then unsatisfiable
% 31.43/8.50 |-Branch two:
% 31.43/8.50 | (6478) all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20)
% 31.43/8.50 |
% 31.43/8.50 | Applying alpha-rule on (6478) yields:
% 31.43/8.50 | (6479) all_0_163_163 = e20
% 31.43/8.50 | (6480) ~ (all_0_162_162 = e21)
% 31.43/8.50 | (6481) ~ (all_0_164_164 = e20)
% 31.43/8.50 |
% 31.43/8.50 | Combining equations (6479,8332) yields a new equation:
% 31.43/8.50 | (658) e22 = e20
% 31.43/8.50 |
% 31.43/8.50 | Equations (658) can reduce 294 to:
% 31.43/8.50 | (537) $false
% 31.43/8.50 |
% 31.43/8.50 |-The branch is then unsatisfiable
% 31.43/8.50 |-Branch two:
% 31.43/8.50 | (6483) all_0_237_237 = e21 & ~ (all_0_236_236 = e20)
% 31.43/8.50 |
% 31.43/8.50 | Applying alpha-rule on (6483) yields:
% 31.43/8.50 | (523) all_0_237_237 = e21
% 31.43/8.50 | (660) ~ (all_0_236_236 = e20)
% 31.43/8.50 |
% 31.43/8.50 | Combining equations (523,675) yields a new equation:
% 31.43/8.50 | (663) e21 = e20
% 31.43/8.50 |
% 31.43/8.50 | Simplifying 663 yields:
% 31.43/8.50 | (664) e21 = e20
% 31.43/8.50 |
% 31.43/8.50 | Equations (664) can reduce 401 to:
% 31.43/8.50 | (537) $false
% 31.43/8.50 |
% 31.43/8.50 |-The branch is then unsatisfiable
% 31.43/8.50 |-Branch two:
% 31.43/8.50 | (666) ~ (all_0_240_240 = e20)
% 31.43/8.50 | (681) all_0_241_241 = e20
% 31.43/8.50 |
% 31.43/8.50 | Combining equations (585,681) yields a new equation:
% 31.43/8.50 | (663) e21 = e20
% 31.43/8.50 |
% 31.43/8.50 | Simplifying 663 yields:
% 31.43/8.50 | (664) e21 = e20
% 31.43/8.50 |
% 31.43/8.50 | Equations (664) can reduce 401 to:
% 31.43/8.50 | (537) $false
% 31.43/8.50 |
% 31.43/8.50 |-The branch is then unsatisfiable
% 31.43/8.50 |-Branch two:
% 31.43/8.50 | (6318) ~ (all_0_239_239 = e22)
% 31.43/8.50 | (6375) all_0_239_239 = e23 | all_0_239_239 = e20
% 31.43/8.50 |
% 31.43/8.50 +-Applying beta-rule and splitting (6652), into two cases.
% 31.43/8.50 |-Branch one:
% 31.43/8.50 | (6372) all_0_239_239 = e22
% 31.43/8.50 |
% 31.43/8.50 | Equations (6372) can reduce 6318 to:
% 31.43/8.50 | (537) $false
% 31.43/8.50 |
% 31.43/8.50 |-The branch is then unsatisfiable
% 31.43/8.50 |-Branch two:
% 31.43/8.50 | (6318) ~ (all_0_239_239 = e22)
% 31.43/8.50 | (6335) all_0_240_240 = e22
% 31.43/8.50 |
% 31.43/8.50 | Equations (6335) can reduce 6338 to:
% 31.43/8.50 | (537) $false
% 31.43/8.50 |
% 31.43/8.50 |-The branch is then unsatisfiable
% 31.43/8.50 |-Branch two:
% 31.43/8.50 | (6325) ~ (all_0_242_242 = e22)
% 31.43/8.50 | (6326) all_0_243_243 = e22 | all_0_244_244 = e22
% 31.43/8.50 |
% 31.43/8.50 +-Applying beta-rule and splitting (7949), into two cases.
% 31.43/8.50 |-Branch one:
% 31.43/8.50 | (6322) all_0_242_242 = e22
% 31.43/8.50 |
% 31.43/8.50 | Equations (6322) can reduce 6325 to:
% 31.43/8.50 | (537) $false
% 31.43/8.50 |
% 31.43/8.50 |-The branch is then unsatisfiable
% 31.43/8.50 |-Branch two:
% 31.43/8.50 | (6325) ~ (all_0_242_242 = e22)
% 31.43/8.50 | (596) all_0_242_242 = e23
% 31.43/8.50 |
% 31.43/8.50 | Equations (596) can reduce 600 to:
% 31.43/8.50 | (537) $false
% 31.43/8.50 |
% 31.43/8.50 |-The branch is then unsatisfiable
% 31.43/8.50 |-Branch two:
% 31.43/8.50 | (668) ~ (all_0_243_243 = e20)
% 31.43/8.50 | (6491) all_0_244_244 = e20 | all_0_245_245 = e20
% 31.43/8.50 |
% 31.43/8.50 +-Applying beta-rule and splitting (365), into two cases.
% 31.43/8.50 |-Branch one:
% 31.43/8.50 | (651) all_0_235_235 = e20
% 31.43/8.50 |
% 31.43/8.50 | Combining equations (633,651) yields a new equation:
% 31.43/8.50 | (683) e23 = e20
% 31.43/8.50 |
% 31.43/8.50 | Simplifying 683 yields:
% 31.43/8.50 | (684) e23 = e20
% 31.43/8.50 |
% 31.43/8.50 | Equations (684) can reduce 14 to:
% 31.43/8.50 | (537) $false
% 31.43/8.50 |
% 31.43/8.50 |-The branch is then unsatisfiable
% 31.43/8.50 |-Branch two:
% 31.43/8.50 | (6297) ~ (all_0_235_235 = e20)
% 31.43/8.50 | (6497) all_0_239_239 = e20 | all_0_243_243 = e20
% 31.43/8.50 |
% 31.43/8.50 +-Applying beta-rule and splitting (6497), into two cases.
% 31.43/8.50 |-Branch one:
% 31.43/8.50 | (6389) all_0_239_239 = e20
% 31.43/8.50 |
% 31.43/8.50 | Equations (6389) can reduce 6283 to:
% 31.43/8.50 | (671) ~ (e23 = e20)
% 31.43/8.50 |
% 31.43/8.50 | Simplifying 671 yields:
% 31.43/8.50 | (14) ~ (e23 = e20)
% 31.43/8.50 |
% 31.43/8.50 | Equations (6389) can reduce 18 to:
% 31.43/8.50 | (654) ~ (e21 = e20)
% 31.43/8.50 |
% 31.43/8.50 | Simplifying 654 yields:
% 31.43/8.50 | (401) ~ (e21 = e20)
% 31.43/8.50 |
% 31.43/8.50 +-Applying beta-rule and splitting (6491), into two cases.
% 31.43/8.50 |-Branch one:
% 31.43/8.51 | (667) all_0_244_244 = e20
% 31.43/8.51 |
% 31.43/8.51 | Combining equations (667,581) yields a new equation:
% 31.43/8.51 | (664) e21 = e20
% 31.43/8.51 |
% 31.43/8.51 | Equations (664) can reduce 401 to:
% 31.43/8.51 | (537) $false
% 31.43/8.51 |
% 31.43/8.51 |-The branch is then unsatisfiable
% 31.43/8.51 |-Branch two:
% 31.43/8.51 | (6512) ~ (all_0_244_244 = e20)
% 31.43/8.51 | (6295) all_0_245_245 = e20
% 31.43/8.51 |
% 31.43/8.51 | Combining equations (6295,687) yields a new equation:
% 31.43/8.51 | (684) e23 = e20
% 31.43/8.51 |
% 31.43/8.51 | Equations (684) can reduce 14 to:
% 31.43/8.51 | (537) $false
% 31.43/8.51 |
% 31.43/8.51 |-The branch is then unsatisfiable
% 31.43/8.51 |-Branch two:
% 31.43/8.51 | (6378) ~ (all_0_239_239 = e20)
% 31.43/8.51 | (6292) all_0_243_243 = e20
% 31.43/8.51 |
% 31.43/8.51 | Equations (6292) can reduce 668 to:
% 31.43/8.51 | (537) $false
% 31.43/8.51 |
% 31.43/8.51 |-The branch is then unsatisfiable
% 31.43/8.51 |-Branch two:
% 31.43/8.51 | (6501) ~ (all_0_245_245 = e23)
% 31.43/8.51 | (6295) all_0_245_245 = e20
% 31.43/8.51 |
% 31.43/8.51 | Equations (6295) can reduce 670 to:
% 31.43/8.51 | (537) $false
% 31.43/8.51 |
% 31.43/8.51 |-The branch is then unsatisfiable
% 31.43/8.51 |-Branch two:
% 31.43/8.51 | (6308) ~ (all_0_236_236 = e22)
% 31.43/8.51 | (656) all_0_236_236 = e20
% 31.43/8.51 |
% 31.43/8.51 | Equations (656) can reduce 660 to:
% 31.43/8.51 | (537) $false
% 31.43/8.51 |
% 31.43/8.51 |-The branch is then unsatisfiable
% 31.43/8.51 |-Branch two:
% 31.43/8.51 | (608) ~ (all_0_238_238 = e23)
% 31.43/8.51 | (642) all_0_239_239 = e23 | all_0_241_241 = e23
% 31.43/8.51 |
% 31.43/8.51 +-Applying beta-rule and splitting (593), into two cases.
% 31.43/8.51 |-Branch one:
% 31.43/8.51 | (682) all_0_241_241 = e23
% 31.43/8.51 |
% 31.43/8.51 | Combining equations (585,682) yields a new equation:
% 31.43/8.51 | (590) e23 = e21
% 31.43/8.51 |
% 31.43/8.51 | Equations (590) can reduce 215 to:
% 31.43/8.51 | (537) $false
% 31.43/8.51 |
% 31.43/8.51 |-The branch is then unsatisfiable
% 31.43/8.51 |-Branch two:
% 31.43/8.51 | (686) ~ (all_0_241_241 = e23)
% 31.43/8.51 | (687) all_0_245_245 = e23
% 31.43/8.51 |
% 31.43/8.51 | Equations (687) can reduce 44 to:
% 31.43/8.51 | (600) ~ (all_0_242_242 = e23)
% 31.43/8.51 |
% 31.43/8.51 +-Applying beta-rule and splitting (6630), into two cases.
% 31.43/8.51 |-Branch one:
% 31.43/8.51 | (637) all_0_238_238 = e23
% 31.43/8.51 |
% 31.43/8.51 | Equations (637) can reduce 608 to:
% 31.43/8.51 | (537) $false
% 31.43/8.51 |
% 31.43/8.51 |-The branch is then unsatisfiable
% 31.43/8.51 |-Branch two:
% 31.43/8.51 | (608) ~ (all_0_238_238 = e23)
% 31.43/8.51 | (596) all_0_242_242 = e23
% 31.43/8.51 |
% 31.43/8.51 | Equations (596) can reduce 600 to:
% 31.43/8.51 | (537) $false
% 31.43/8.51 |
% 31.43/8.51 |-The branch is then unsatisfiable
% 31.43/8.51 |-Branch two:
% 31.43/8.51 | (606) ~ (all_0_235_235 = e23)
% 31.43/8.51 | (589) all_0_237_237 = e23
% 31.43/8.51 |
% 31.43/8.51 | Equations (589) can reduce 592 to:
% 31.43/8.51 | (537) $false
% 31.43/8.51 |
% 31.43/8.51 |-The branch is then unsatisfiable
% 31.59/8.51 |-Branch two:
% 31.59/8.51 | (501) ~ (all_0_234_234 = e21)
% 31.59/8.51 | (9909) all_0_238_238 = e21 | all_0_242_242 = e21
% 31.59/8.51 |
% 31.59/8.51 +-Applying beta-rule and splitting (9909), into two cases.
% 31.59/8.51 |-Branch one:
% 31.59/8.51 | (536) all_0_238_238 = e21
% 31.59/8.51 |
% 31.59/8.51 | Equations (536) can reduce 228 to:
% 31.59/8.51 | (501) ~ (all_0_234_234 = e21)
% 31.59/8.51 |
% 31.59/8.51 | Equations (536) can reduce 287 to:
% 31.59/8.51 | (9912) ~ (all_0_239_239 = e21)
% 31.59/8.51 |
% 31.59/8.51 | Simplifying 9912 yields:
% 31.59/8.51 | (18) ~ (all_0_239_239 = e21)
% 31.59/8.51 |
% 31.59/8.51 | Equations (536) can reduce 306 to:
% 31.59/8.51 | (6964) ~ (all_0_240_240 = e21)
% 31.59/8.51 |
% 31.59/8.51 | Simplifying 6964 yields:
% 31.59/8.51 | (6938) ~ (all_0_240_240 = e21)
% 31.59/8.51 |
% 31.59/8.51 | Equations (536) can reduce 265 to:
% 31.59/8.51 | (526) ~ (all_0_241_241 = e21)
% 31.59/8.51 |
% 31.59/8.51 | Simplifying 526 yields:
% 31.59/8.51 | (527) ~ (all_0_241_241 = e21)
% 31.59/8.51 |
% 31.59/8.51 | Equations (536) can reduce 208 to:
% 31.59/8.51 | (401) ~ (e21 = e20)
% 31.59/8.51 |
% 31.59/8.51 | From (536) and (70) follows:
% 31.59/8.51 | (9919) op2(e21, e23) = all_0_143_143
% 31.59/8.51 |
% 31.59/8.51 | From (536) and (133) follows:
% 31.59/8.51 | (9920) op2(e21, e22) = all_0_144_144
% 31.59/8.51 |
% 31.59/8.51 | From (536) and (283) follows:
% 31.59/8.51 | (9921) op2(e23, e21) = all_0_108_108
% 31.59/8.51 |
% 31.59/8.51 | From (536) and (235) follows:
% 31.59/8.51 | (9922) op2(e22, e21) = all_0_145_145
% 31.59/8.51 |
% 31.59/8.51 | From (536) and (171) follows:
% 31.59/8.51 | (9923) op2(e22, e23) = e21
% 31.59/8.51 |
% 31.59/8.51 | From (536) and (6) follows:
% 31.59/8.52 | (9924) op2(e21, e21) = all_0_109_109
% 31.59/8.52 |
% 31.59/8.52 | From (536) and (393) follows:
% 31.59/8.52 | (9925) op2(e20, e21) = all_0_110_110
% 31.59/8.52 |
% 31.59/8.52 | Instantiating formula (340) with e23, e21, all_0_108_108, all_0_236_236 and discharging atoms op2(e23, e21) = all_0_108_108, op2(e23, e21) = all_0_236_236, yields:
% 31.59/8.52 | (9926) all_0_108_108 = all_0_236_236
% 31.59/8.52 |
% 31.59/8.52 | Instantiating formula (340) with e22, e21, all_0_145_145, all_0_240_240 and discharging atoms op2(e22, e21) = all_0_145_145, op2(e22, e21) = all_0_240_240, yields:
% 31.59/8.52 | (9927) all_0_145_145 = all_0_240_240
% 31.59/8.52 |
% 31.59/8.52 | Instantiating formula (340) with e21, e23, all_0_143_143, all_0_242_242 and discharging atoms op2(e21, e23) = all_0_143_143, op2(e21, e23) = all_0_242_242, yields:
% 31.59/8.52 | (9928) all_0_143_143 = all_0_242_242
% 31.59/8.52 |
% 31.59/8.52 | Instantiating formula (340) with e21, e22, all_0_144_144, all_0_243_243 and discharging atoms op2(e21, e22) = all_0_144_144, op2(e21, e22) = all_0_243_243, yields:
% 31.59/8.52 | (9929) all_0_144_144 = all_0_243_243
% 31.59/8.52 |
% 31.59/8.52 | Instantiating formula (340) with e21, e21, all_0_109_109, all_0_244_244 and discharging atoms op2(e21, e21) = all_0_109_109, op2(e21, e21) = all_0_244_244, yields:
% 31.59/8.52 | (9930) all_0_109_109 = all_0_244_244
% 31.59/8.52 |
% 31.59/8.52 | Instantiating formula (340) with e20, e21, all_0_110_110, e23 and discharging atoms op2(e20, e21) = all_0_110_110, op2(e20, e21) = e23, yields:
% 31.59/8.52 | (9931) all_0_110_110 = e23
% 31.59/8.52 |
% 31.59/8.52 | From (9926) and (9921) follows:
% 31.59/8.52 | (451) op2(e23, e21) = all_0_236_236
% 31.59/8.52 |
% 31.59/8.52 | From (9927) and (9922) follows:
% 31.59/8.52 | (473) op2(e22, e21) = all_0_240_240
% 31.59/8.52 |
% 31.59/8.52 | From (9928) and (9919) follows:
% 31.59/8.52 | (432) op2(e21, e23) = all_0_242_242
% 31.59/8.52 |
% 31.59/8.52 | From (9929) and (9920) follows:
% 31.59/8.52 | (54) op2(e21, e22) = all_0_243_243
% 31.59/8.52 |
% 31.59/8.52 | From (9930) and (9924) follows:
% 31.59/8.52 | (139) op2(e21, e21) = all_0_244_244
% 31.59/8.52 |
% 31.59/8.52 | From (9931) and (9925) follows:
% 31.59/8.52 | (323) op2(e20, e21) = e23
% 31.59/8.52 |
% 31.59/8.52 +-Applying beta-rule and splitting (26), into two cases.
% 31.59/8.52 |-Branch one:
% 31.59/8.52 | (573) all_0_234_234 = e21
% 31.59/8.52 |
% 31.59/8.52 | Equations (573) can reduce 501 to:
% 31.59/8.52 | (537) $false
% 31.59/8.52 |
% 31.59/8.52 |-The branch is then unsatisfiable
% 31.59/8.52 |-Branch two:
% 31.59/8.52 | (501) ~ (all_0_234_234 = e21)
% 31.59/8.52 | (576) all_0_234_234 = e23 | all_0_234_234 = e22
% 31.59/8.52 |
% 31.59/8.52 +-Applying beta-rule and splitting (122), into two cases.
% 31.59/8.52 |-Branch one:
% 31.59/8.52 | (577) all_0_236_236 = e21
% 31.59/8.52 |
% 31.59/8.52 | Equations (577) can reduce 475 to:
% 31.59/8.52 | (501) ~ (all_0_234_234 = e21)
% 31.59/8.52 |
% 31.59/8.52 | Equations (577) can reduce 107 to:
% 31.59/8.52 | (416) ~ (all_0_235_235 = e21)
% 31.59/8.52 |
% 31.59/8.52 | Equations (577) can reduce 79 to:
% 31.59/8.52 | (6964) ~ (all_0_240_240 = e21)
% 31.59/8.52 |
% 31.59/8.52 | Simplifying 6964 yields:
% 31.59/8.52 | (6938) ~ (all_0_240_240 = e21)
% 31.59/8.52 |
% 31.59/8.52 | Equations (577) can reduce 225 to:
% 31.59/8.52 | (546) ~ (all_0_244_244 = e21)
% 31.59/8.52 |
% 31.59/8.52 | Simplifying 546 yields:
% 31.59/8.52 | (547) ~ (all_0_244_244 = e21)
% 31.59/8.52 |
% 31.59/8.52 | Equations (577) can reduce 425 to:
% 31.59/8.52 | (548) ~ (e23 = e21)
% 31.59/8.52 |
% 31.59/8.52 | Simplifying 548 yields:
% 31.59/8.52 | (215) ~ (e23 = e21)
% 31.59/8.52 |
% 31.59/8.52 | From (577) and (285) follows:
% 31.59/8.52 | (9951) op2(e21, e23) = all_0_138_138
% 31.59/8.52 |
% 31.59/8.52 | From (577) and (132) follows:
% 31.59/8.52 | (9952) op2(e21, e21) = all_0_137_137
% 31.59/8.52 |
% 31.59/8.52 | From (577) and (81) follows:
% 31.59/8.52 | (6970) op2(e23, e21) = all_0_139_139
% 31.59/8.52 |
% 31.59/8.52 | From (577) and (451) follows:
% 31.59/8.52 | (6971) op2(e23, e21) = e21
% 31.59/8.52 |
% 31.59/8.52 | From (577) and (129) follows:
% 31.59/8.52 | (6972) op2(e22, e21) = all_0_102_102
% 31.59/8.52 |
% 31.59/8.52 | From (577) and (222) follows:
% 31.59/8.52 | (9956) op2(e21, e21) = all_0_103_103
% 31.59/8.52 |
% 31.59/8.52 +-Applying beta-rule and splitting (7899), into two cases.
% 31.59/8.52 |-Branch one:
% 31.59/8.52 | (581) all_0_244_244 = e21
% 31.59/8.52 |
% 31.59/8.52 | Equations (581) can reduce 547 to:
% 31.59/8.52 | (537) $false
% 31.59/8.52 |
% 31.59/8.52 |-The branch is then unsatisfiable
% 31.59/8.52 |-Branch two:
% 31.59/8.52 | (547) ~ (all_0_244_244 = e21)
% 31.59/8.52 | (569) all_0_245_245 = e21
% 31.59/8.52 |
% 31.59/8.52 | Equations (569) can reduce 418 to:
% 31.59/8.52 | (6941) ~ (all_0_237_237 = e21)
% 31.59/8.52 |
% 31.59/8.52 | Equations (569) can reduce 137 to:
% 31.59/8.52 | (527) ~ (all_0_241_241 = e21)
% 31.59/8.52 |
% 31.59/8.52 | Equations (569) can reduce 44 to:
% 31.59/8.52 | (7898) ~ (all_0_242_242 = e21)
% 31.59/8.52 |
% 31.59/8.52 | Equations (569) can reduce 154 to:
% 31.59/8.52 | (74) ~ (all_0_243_243 = e21)
% 31.59/8.52 |
% 31.59/8.52 | Equations (569) can reduce 145 to:
% 31.59/8.52 | (547) ~ (all_0_244_244 = e21)
% 31.59/8.52 |
% 31.59/8.52 | From (569) and (110) follows:
% 31.59/8.52 | (8019) op2(e21, e21) = all_0_163_163
% 31.59/8.52 |
% 31.59/8.52 | From (569) and (57) follows:
% 31.59/8.53 | (9967) op2(e21, e20) = all_0_162_162
% 31.59/8.53 |
% 31.59/8.53 | From (569) and (330) follows:
% 31.59/8.53 | (8020) op2(e23, e21) = all_0_129_129
% 31.59/8.53 |
% 31.59/8.53 | From (569) and (164) follows:
% 31.59/8.53 | (8021) op2(e22, e21) = all_0_130_130
% 31.59/8.53 |
% 31.59/8.53 | From (569) and (402) follows:
% 31.59/8.53 | (8022) op2(e21, e21) = all_0_164_164
% 31.59/8.53 |
% 31.59/8.53 | From (569) and (465) follows:
% 31.59/8.53 | (9971) op2(e21, e20) = e21
% 31.59/8.53 |
% 31.59/8.53 | Instantiating formula (340) with e23, e21, all_0_139_139, all_0_129_129 and discharging atoms op2(e23, e21) = all_0_129_129, op2(e23, e21) = all_0_139_139, yields:
% 31.59/8.53 | (9972) all_0_129_129 = all_0_139_139
% 31.59/8.53 |
% 31.59/8.53 | Instantiating formula (340) with e23, e21, e21, all_0_129_129 and discharging atoms op2(e23, e21) = all_0_129_129, op2(e23, e21) = e21, yields:
% 31.59/8.53 | (9973) all_0_129_129 = e21
% 31.59/8.53 |
% 31.59/8.53 | Instantiating formula (340) with e22, e21, all_0_102_102, all_0_240_240 and discharging atoms op2(e22, e21) = all_0_102_102, op2(e22, e21) = all_0_240_240, yields:
% 31.59/8.53 | (6976) all_0_102_102 = all_0_240_240
% 31.59/8.53 |
% 31.59/8.53 | Instantiating formula (340) with e22, e21, all_0_130_130, all_0_102_102 and discharging atoms op2(e22, e21) = all_0_102_102, op2(e22, e21) = all_0_130_130, yields:
% 31.59/8.53 | (9975) all_0_102_102 = all_0_130_130
% 31.59/8.53 |
% 31.59/8.53 | Instantiating formula (340) with e21, e23, all_0_138_138, all_0_242_242 and discharging atoms op2(e21, e23) = all_0_138_138, op2(e21, e23) = all_0_242_242, yields:
% 31.59/8.53 | (9976) all_0_138_138 = all_0_242_242
% 31.59/8.53 |
% 31.59/8.53 | Instantiating formula (340) with e21, e21, all_0_137_137, all_0_103_103 and discharging atoms op2(e21, e21) = all_0_103_103, op2(e21, e21) = all_0_137_137, yields:
% 31.59/8.53 | (9977) all_0_103_103 = all_0_137_137
% 31.59/8.53 |
% 31.59/8.53 | Instantiating formula (340) with e21, e21, all_0_163_163, all_0_244_244 and discharging atoms op2(e21, e21) = all_0_163_163, op2(e21, e21) = all_0_244_244, yields:
% 31.59/8.53 | (8042) all_0_163_163 = all_0_244_244
% 31.59/8.53 |
% 31.59/8.53 | Instantiating formula (340) with e21, e21, all_0_163_163, all_0_137_137 and discharging atoms op2(e21, e21) = all_0_137_137, op2(e21, e21) = all_0_163_163, yields:
% 31.59/8.53 | (9979) all_0_137_137 = all_0_163_163
% 31.59/8.53 |
% 31.59/8.53 | Instantiating formula (340) with e21, e21, all_0_164_164, all_0_103_103 and discharging atoms op2(e21, e21) = all_0_103_103, op2(e21, e21) = all_0_164_164, yields:
% 31.59/8.53 | (9980) all_0_103_103 = all_0_164_164
% 31.59/8.53 |
% 31.59/8.53 | Instantiating formula (340) with e21, e20, e21, all_0_162_162 and discharging atoms op2(e21, e20) = all_0_162_162, op2(e21, e20) = e21, yields:
% 31.59/8.53 | (6415) all_0_162_162 = e21
% 31.59/8.53 |
% 31.59/8.53 | Combining equations (6976,9975) yields a new equation:
% 31.59/8.53 | (9982) all_0_130_130 = all_0_240_240
% 31.59/8.53 |
% 31.59/8.53 | Combining equations (9977,9980) yields a new equation:
% 31.59/8.53 | (9983) all_0_137_137 = all_0_164_164
% 31.59/8.53 |
% 31.59/8.53 | Simplifying 9983 yields:
% 31.59/8.53 | (9984) all_0_137_137 = all_0_164_164
% 31.59/8.53 |
% 31.59/8.53 | Combining equations (9973,9972) yields a new equation:
% 31.59/8.53 | (6355) all_0_139_139 = e21
% 31.59/8.53 |
% 31.59/8.53 | Combining equations (9979,9984) yields a new equation:
% 31.59/8.53 | (9986) all_0_163_163 = all_0_164_164
% 31.59/8.53 |
% 31.59/8.53 | Simplifying 9986 yields:
% 31.59/8.53 | (8032) all_0_163_163 = all_0_164_164
% 31.59/8.53 |
% 31.59/8.53 | Combining equations (8042,8032) yields a new equation:
% 31.59/8.53 | (8044) all_0_164_164 = all_0_244_244
% 31.59/8.53 |
% 31.59/8.53 | From (6355) and (6970) follows:
% 31.59/8.53 | (6971) op2(e23, e21) = e21
% 31.59/8.53 |
% 31.59/8.53 | From (9982) and (8021) follows:
% 31.59/8.53 | (473) op2(e22, e21) = all_0_240_240
% 31.59/8.54 |
% 31.59/8.54 | From (8044) and (8022) follows:
% 31.59/8.54 | (139) op2(e21, e21) = all_0_244_244
% 31.59/8.54 |
% 31.59/8.54 | From (6415) and (9967) follows:
% 31.59/8.54 | (9971) op2(e21, e20) = e21
% 31.59/8.54 |
% 31.59/8.54 +-Applying beta-rule and splitting (280), into two cases.
% 31.59/8.54 |-Branch one:
% 31.59/8.54 | (581) all_0_244_244 = e21
% 31.59/8.54 |
% 31.59/8.54 | Equations (581) can reduce 547 to:
% 31.59/8.54 | (537) $false
% 31.59/8.54 |
% 31.59/8.54 |-The branch is then unsatisfiable
% 31.59/8.54 |-Branch two:
% 31.59/8.54 | (547) ~ (all_0_244_244 = e21)
% 31.59/8.54 | (584) all_0_244_244 = e22 | all_0_244_244 = e20
% 31.59/8.54 |
% 31.59/8.54 +-Applying beta-rule and splitting (276), into two cases.
% 31.59/8.54 |-Branch one:
% 31.59/8.54 | (540) all_0_240_240 = e21
% 31.59/8.54 |
% 31.59/8.54 | Equations (540) can reduce 6938 to:
% 31.59/8.54 | (537) $false
% 31.59/8.54 |
% 31.59/8.54 |-The branch is then unsatisfiable
% 31.59/8.54 |-Branch two:
% 31.59/8.54 | (6938) ~ (all_0_240_240 = e21)
% 31.59/8.54 | (6992) all_0_240_240 = e22 | all_0_240_240 = e20
% 31.59/8.54 |
% 31.59/8.54 +-Applying beta-rule and splitting (364), into two cases.
% 31.59/8.54 |-Branch one:
% 31.59/8.54 | (500) all_0_242_242 = e21
% 31.59/8.54 |
% 31.59/8.54 | Equations (500) can reduce 7898 to:
% 31.59/8.54 | (537) $false
% 31.59/8.54 |
% 31.59/8.54 |-The branch is then unsatisfiable
% 31.59/8.54 |-Branch two:
% 31.59/8.54 | (7898) ~ (all_0_242_242 = e21)
% 31.59/8.54 | (7949) all_0_242_242 = e23 | all_0_242_242 = e22
% 31.59/8.54 |
% 31.59/8.54 +-Applying beta-rule and splitting (344), into two cases.
% 31.59/8.54 |-Branch one:
% 31.59/8.54 | (585) all_0_241_241 = e21
% 31.59/8.54 |
% 31.59/8.54 | Equations (585) can reduce 527 to:
% 31.59/8.54 | (537) $false
% 31.59/8.54 |
% 31.59/8.54 |-The branch is then unsatisfiable
% 31.59/8.54 |-Branch two:
% 31.59/8.54 | (527) ~ (all_0_241_241 = e21)
% 31.59/8.54 | (588) all_0_241_241 = e23 | all_0_241_241 = e20
% 31.59/8.54 |
% 31.59/8.54 +-Applying beta-rule and splitting (247), into two cases.
% 31.59/8.54 |-Branch one:
% 31.59/8.54 | (523) all_0_237_237 = e21
% 31.59/8.54 |
% 31.59/8.54 | Equations (523) can reduce 6941 to:
% 31.59/8.54 | (537) $false
% 31.59/8.54 |
% 31.59/8.54 |-The branch is then unsatisfiable
% 31.59/8.54 |-Branch two:
% 31.59/8.54 | (6941) ~ (all_0_237_237 = e21)
% 31.59/8.54 | (7004) all_0_237_237 = e23 | all_0_237_237 = e20
% 31.59/8.54 |
% 31.59/8.54 +-Applying beta-rule and splitting (390), into two cases.
% 31.59/8.54 |-Branch one:
% 31.59/8.54 | (596) all_0_242_242 = e23
% 31.59/8.54 |
% 31.59/8.54 | Combining equations (596,9976) yields a new equation:
% 31.59/8.54 | (8139) all_0_138_138 = e23
% 31.59/8.54 |
% 31.59/8.54 | Equations (596) can reduce 354 to:
% 31.59/8.54 | (6625) ~ (all_0_234_234 = e23)
% 31.59/8.54 |
% 31.59/8.54 | Equations (596) can reduce 392 to:
% 31.59/8.54 | (6698) ~ (all_0_243_243 = e23)
% 31.59/8.54 |
% 31.59/8.54 | Simplifying 6698 yields:
% 31.59/8.54 | (688) ~ (all_0_243_243 = e23)
% 31.59/8.54 |
% 31.59/8.54 | Equations (596) can reduce 27 to:
% 31.59/8.54 | (7125) ~ (all_0_244_244 = e23)
% 31.59/8.54 |
% 31.59/8.54 | Simplifying 7125 yields:
% 31.59/8.54 | (95) ~ (all_0_244_244 = e23)
% 31.59/8.54 |
% 31.59/8.54 | From (596) and (302) follows:
% 31.59/8.54 | (10020) op2(e23, e23) = all_0_154_154
% 31.59/8.54 |
% 31.59/8.54 | From (596) and (97) follows:
% 31.59/8.54 | (8264) op2(e23, e21) = all_0_155_155
% 31.59/8.54 |
% 31.59/8.54 | From (596) and (165) follows:
% 31.59/8.54 | (10022) op2(e23, e23) = all_0_120_120
% 31.59/8.54 |
% 31.59/8.54 | From (596) and (351) follows:
% 31.59/8.54 | (10023) op2(e20, e23) = all_0_122_122
% 31.59/8.54 |
% 31.59/8.54 +-Applying beta-rule and splitting (576), into two cases.
% 31.59/8.54 |-Branch one:
% 31.59/8.54 | (6310) all_0_234_234 = e22
% 31.59/8.54 |
% 31.59/8.54 | Equations (6310) can reduce 466 to:
% 31.59/8.54 | (10025) ~ (all_0_235_235 = e22)
% 31.59/8.54 |
% 31.59/8.54 | Simplifying 10025 yields:
% 31.59/8.54 | (646) ~ (all_0_235_235 = e22)
% 31.59/8.54 |
% 31.59/8.54 | Equations (6310) can reduce 6625 to:
% 31.59/8.54 | (613) ~ (e23 = e22)
% 31.59/8.54 |
% 31.59/8.54 | Simplifying 613 yields:
% 31.59/8.54 | (449) ~ (e23 = e22)
% 31.59/8.54 |
% 31.59/8.54 | Equations (6310) can reduce 501 to:
% 31.59/8.54 | (92) ~ (e22 = e21)
% 31.59/8.54 |
% 31.59/8.54 | Equations (6310) can reduce 11 to:
% 31.59/8.54 | (294) ~ (e22 = e20)
% 31.59/8.54 |
% 31.59/8.54 | From (6310) and (43) follows:
% 31.59/8.54 | (10031) op2(all_0_133_133, e22) = all_0_18_18
% 31.59/8.54 |
% 31.59/8.54 | From (6310)(6310) and (149) follows:
% 31.59/8.54 | (6644) op2(e22, e22) = all_0_10_10
% 31.59/8.54 |
% 31.59/8.54 | From (6310) and (471) follows:
% 31.59/8.54 | (6645) op2(e23, e22) = all_0_133_133
% 31.59/8.54 |
% 31.59/8.54 | From (6310) and (308) follows:
% 31.59/8.55 | (7035) op2(e23, e23) = e22
% 31.59/8.55 |
% 31.59/8.55 | From (6310) and (33) follows:
% 31.59/8.55 | (6646) op2(e22, e22) = all_0_96_96
% 31.59/8.55 |
% 31.59/8.55 | From (6310) and (118) follows:
% 31.59/8.55 | (7037) op2(e21, e22) = all_0_97_97
% 31.59/8.55 |
% 31.59/8.55 | From (6310) and (388) follows:
% 31.59/8.55 | (10037) op2(e20, e22) = all_0_98_98
% 31.59/8.55 |
% 31.59/8.55 | Instantiating formula (340) with e23, e23, all_0_154_154, all_0_120_120 and discharging atoms op2(e23, e23) = all_0_120_120, op2(e23, e23) = all_0_154_154, yields:
% 31.59/8.55 | (10038) all_0_120_120 = all_0_154_154
% 31.59/8.55 |
% 31.59/8.55 | Instantiating formula (340) with e23, e23, e22, all_0_120_120 and discharging atoms op2(e23, e23) = all_0_120_120, op2(e23, e23) = e22, yields:
% 31.59/8.55 | (10039) all_0_120_120 = e22
% 31.59/8.55 |
% 31.59/8.55 | Instantiating formula (340) with e23, e22, all_0_133_133, all_0_235_235 and discharging atoms op2(e23, e22) = all_0_133_133, op2(e23, e22) = all_0_235_235, yields:
% 31.59/8.55 | (7056) all_0_133_133 = all_0_235_235
% 31.59/8.55 |
% 31.59/8.55 | Instantiating formula (340) with e23, e21, all_0_155_155, e21 and discharging atoms op2(e23, e21) = all_0_155_155, op2(e23, e21) = e21, yields:
% 31.59/8.55 | (8144) all_0_155_155 = e21
% 31.59/8.55 |
% 31.59/8.55 | Instantiating formula (340) with e22, e22, all_0_10_10, all_0_239_239 and discharging atoms op2(e22, e22) = all_0_10_10, op2(e22, e22) = all_0_239_239, yields:
% 31.59/8.55 | (7060) all_0_10_10 = all_0_239_239
% 31.59/8.55 |
% 31.59/8.55 | Instantiating formula (340) with e22, e22, all_0_96_96, all_0_10_10 and discharging atoms op2(e22, e22) = all_0_10_10, op2(e22, e22) = all_0_96_96, yields:
% 31.59/8.55 | (7061) all_0_10_10 = all_0_96_96
% 31.59/8.55 |
% 31.59/8.55 | Instantiating formula (340) with e21, e22, all_0_97_97, all_0_243_243 and discharging atoms op2(e21, e22) = all_0_97_97, op2(e21, e22) = all_0_243_243, yields:
% 31.59/8.55 | (7062) all_0_97_97 = all_0_243_243
% 31.59/8.55 |
% 31.59/8.55 | Instantiating formula (340) with e20, e23, all_0_122_122, e20 and discharging atoms op2(e20, e23) = all_0_122_122, op2(e20, e23) = e20, yields:
% 31.59/8.55 | (10045) all_0_122_122 = e20
% 31.59/8.55 |
% 31.59/8.55 | Instantiating formula (340) with e20, e22, all_0_98_98, e21 and discharging atoms op2(e20, e22) = all_0_98_98, op2(e20, e22) = e21, yields:
% 31.59/8.55 | (10046) all_0_98_98 = e21
% 31.59/8.55 |
% 31.59/8.55 | Combining equations (7061,7060) yields a new equation:
% 31.59/8.55 | (10047) all_0_96_96 = all_0_239_239
% 31.59/8.55 |
% 31.59/8.55 | Simplifying 10047 yields:
% 31.59/8.55 | (7064) all_0_96_96 = all_0_239_239
% 31.59/8.55 |
% 31.59/8.55 | Combining equations (10039,10038) yields a new equation:
% 31.59/8.55 | (10049) all_0_154_154 = e22
% 31.59/8.55 |
% 31.59/8.55 | From (7056) and (374) follows:
% 31.59/8.55 | (7072) op2(all_0_235_235, e23) = all_0_22_22
% 31.59/8.55 |
% 31.59/8.55 | From (7056) and (10031) follows:
% 31.59/8.55 | (10051) op2(all_0_235_235, e22) = all_0_18_18
% 31.59/8.55 |
% 31.59/8.55 | From (10049) and (10020) follows:
% 31.59/8.55 | (7035) op2(e23, e23) = e22
% 31.59/8.55 |
% 31.59/8.55 | From (7056) and (6645) follows:
% 31.59/8.55 | (436) op2(e23, e22) = all_0_235_235
% 31.59/8.55 |
% 31.59/8.55 | From (7064) and (6646) follows:
% 31.59/8.55 | (256) op2(e22, e22) = all_0_239_239
% 31.59/8.55 |
% 31.59/8.55 | From (7062) and (7037) follows:
% 31.59/8.55 | (54) op2(e21, e22) = all_0_243_243
% 31.59/8.55 |
% 31.59/8.55 | From (10045) and (10023) follows:
% 31.59/8.55 | (253) op2(e20, e23) = e20
% 31.59/8.55 |
% 31.59/8.55 | From (10046) and (10037) follows:
% 31.59/8.56 | (39) op2(e20, e22) = e21
% 31.59/8.56 |
% 31.59/8.56 | Instantiating formula (340) with all_0_235_235, e23, all_0_22_22, all_0_135_135 and discharging atoms op2(all_0_235_235, e23) = all_0_22_22, op2(all_0_235_235, e23) = all_0_135_135, yields:
% 31.59/8.56 | (7079) all_0_22_22 = all_0_135_135
% 31.59/8.56 |
% 31.59/8.56 | Instantiating formula (340) with all_0_235_235, e22, all_0_18_18, all_0_134_134 and discharging atoms op2(all_0_235_235, e22) = all_0_18_18, op2(all_0_235_235, e22) = all_0_134_134, yields:
% 31.59/8.56 | (10059) all_0_18_18 = all_0_134_134
% 31.59/8.56 |
% 31.59/8.56 | From (7079) and (7072) follows:
% 31.59/8.56 | (325) op2(all_0_235_235, e23) = all_0_135_135
% 31.59/8.56 |
% 31.59/8.56 | From (10059) and (10051) follows:
% 31.59/8.56 | (220) op2(all_0_235_235, e22) = all_0_134_134
% 31.59/8.56 |
% 31.59/8.56 +-Applying beta-rule and splitting (332), into two cases.
% 31.59/8.56 |-Branch one:
% 31.59/8.56 | (647) all_0_235_235 = e22
% 31.59/8.56 |
% 31.59/8.56 | Equations (647) can reduce 646 to:
% 31.59/8.56 | (537) $false
% 31.59/8.56 |
% 31.59/8.56 |-The branch is then unsatisfiable
% 31.59/8.56 |-Branch two:
% 31.59/8.56 | (646) ~ (all_0_235_235 = e22)
% 31.59/8.56 | (7858) all_0_235_235 = e23 | all_0_235_235 = e20
% 31.59/8.56 |
% 31.59/8.56 +-Applying beta-rule and splitting (94), into two cases.
% 31.59/8.56 |-Branch one:
% 31.59/8.56 | (610) all_0_238_238 = e22
% 31.59/8.56 |
% 31.59/8.56 | Combining equations (536,610) yields a new equation:
% 31.59/8.56 | (6323) e22 = e21
% 31.59/8.56 |
% 31.59/8.56 | Equations (6323) can reduce 92 to:
% 31.59/8.56 | (537) $false
% 31.59/8.56 |
% 31.59/8.56 |-The branch is then unsatisfiable
% 31.59/8.56 |-Branch two:
% 31.59/8.56 | (6622) ~ (all_0_238_238 = e22)
% 31.59/8.56 | (6652) all_0_239_239 = e22 | all_0_240_240 = e22
% 31.59/8.56 |
% 31.59/8.56 +-Applying beta-rule and splitting (394), into two cases.
% 31.59/8.56 |-Branch one:
% 31.59/8.56 | (689) all_0_243_243 = e22
% 31.59/8.56 |
% 31.59/8.56 | Combining equations (689,9929) yields a new equation:
% 31.59/8.56 | (9111) all_0_144_144 = e22
% 31.59/8.56 |
% 31.59/8.56 | Equations (689) can reduce 32 to:
% 31.59/8.56 | (6318) ~ (all_0_239_239 = e22)
% 31.59/8.56 |
% 31.59/8.56 | From (689) and (373) follows:
% 31.59/8.56 | (10074) op2(e22, e22) = all_0_157_157
% 31.59/8.56 |
% 31.59/8.56 | From (689) and (376) follows:
% 31.59/8.56 | (10075) op2(e23, e22) = all_0_123_123
% 31.59/8.56 |
% 31.59/8.56 | From (689) and (30) follows:
% 31.59/8.56 | (9517) op2(e22, e22) = all_0_124_124
% 31.59/8.56 |
% 31.59/8.56 | From (689) and (370) follows:
% 31.59/8.56 | (7365) op2(e21, e22) = all_0_159_159
% 31.59/8.56 |
% 31.59/8.56 | From (689) and (54) follows:
% 31.59/8.56 | (7366) op2(e21, e22) = e22
% 31.59/8.56 |
% 31.59/8.56 | From (689) and (467) follows:
% 31.59/8.56 | (10079) op2(e20, e22) = all_0_125_125
% 31.59/8.56 |
% 31.59/8.56 +-Applying beta-rule and splitting (188), into two cases.
% 31.59/8.56 |-Branch one:
% 31.59/8.56 | (6292) all_0_243_243 = e20
% 31.59/8.56 |
% 31.59/8.56 | Combining equations (689,6292) yields a new equation:
% 31.59/8.56 | (657) e22 = e20
% 31.59/8.56 |
% 31.59/8.56 | Simplifying 657 yields:
% 31.59/8.56 | (658) e22 = e20
% 31.59/8.56 |
% 31.59/8.56 | Equations (658) can reduce 294 to:
% 31.59/8.56 | (537) $false
% 31.59/8.56 |
% 31.59/8.56 |-The branch is then unsatisfiable
% 31.59/8.56 |-Branch two:
% 31.59/8.56 | (668) ~ (all_0_243_243 = e20)
% 31.59/8.56 | (6491) all_0_244_244 = e20 | all_0_245_245 = e20
% 31.59/8.56 |
% 31.59/8.56 +-Applying beta-rule and splitting (6491), into two cases.
% 31.59/8.56 |-Branch one:
% 31.59/8.56 | (667) all_0_244_244 = e20
% 31.59/8.56 |
% 31.59/8.56 | Combining equations (667,8044) yields a new equation:
% 31.59/8.56 | (8122) all_0_164_164 = e20
% 31.59/8.56 |
% 31.59/8.56 | Equations (667) can reduce 95 to:
% 31.59/8.56 | (671) ~ (e23 = e20)
% 31.59/8.56 |
% 31.59/8.56 | Simplifying 671 yields:
% 31.59/8.56 | (14) ~ (e23 = e20)
% 31.59/8.56 |
% 31.59/8.56 | Equations (667) can reduce 547 to:
% 31.59/8.56 | (654) ~ (e21 = e20)
% 31.59/8.56 |
% 31.59/8.56 | Simplifying 654 yields:
% 31.59/8.56 | (401) ~ (e21 = e20)
% 31.59/8.56 |
% 31.59/8.56 | From (667) and (128) follows:
% 31.59/8.56 | (10092) op2(all_0_161_161, e20) = all_0_72_72
% 31.59/8.56 |
% 31.59/8.56 | From (667) and (267) follows:
% 31.59/8.56 | (10093) op2(e21, e20) = all_0_161_161
% 31.59/8.56 |
% 31.59/8.56 | From (667) and (139) follows:
% 31.59/8.56 | (10094) op2(e21, e21) = e20
% 31.59/8.56 |
% 31.59/8.56 +-Applying beta-rule and splitting (6652), into two cases.
% 31.59/8.56 |-Branch one:
% 31.59/8.56 | (6372) all_0_239_239 = e22
% 31.59/8.56 |
% 31.59/8.56 | Equations (6372) can reduce 6318 to:
% 31.59/8.56 | (537) $false
% 31.59/8.56 |
% 31.59/8.56 |-The branch is then unsatisfiable
% 31.59/8.56 |-Branch two:
% 31.59/8.56 | (6318) ~ (all_0_239_239 = e22)
% 31.59/8.56 | (6335) all_0_240_240 = e22
% 31.59/8.56 |
% 31.59/8.56 | Equations (6335) can reduce 84 to:
% 31.59/8.56 | (6318) ~ (all_0_239_239 = e22)
% 31.59/8.56 |
% 31.59/8.56 | Equations (6335) can reduce 186 to:
% 31.59/8.56 | (611) ~ (all_0_241_241 = e22)
% 31.59/8.56 |
% 31.59/8.56 | Simplifying 611 yields:
% 31.59/8.56 | (152) ~ (all_0_241_241 = e22)
% 31.59/8.56 |
% 31.59/8.56 | Equations (6335) can reduce 327 to:
% 31.59/8.56 | (613) ~ (e23 = e22)
% 31.59/8.56 |
% 31.59/8.56 | Simplifying 613 yields:
% 31.59/8.56 | (449) ~ (e23 = e22)
% 31.59/8.56 |
% 31.59/8.56 | From (6335) and (426) follows:
% 31.59/8.57 | (7396) op2(e22, e22) = all_0_149_149
% 31.59/8.57 |
% 31.59/8.57 | From (6335) and (105) follows:
% 31.59/8.57 | (9069) op2(e23, e22) = all_0_114_114
% 31.59/8.57 |
% 31.59/8.57 | From (6335) and (359) follows:
% 31.59/8.57 | (9070) op2(e22, e22) = all_0_150_150
% 31.59/8.57 |
% 31.59/8.57 | From (6335) and (333) follows:
% 31.59/8.57 | (10107) op2(e21, e22) = all_0_115_115
% 31.59/8.57 |
% 31.59/8.57 | From (6335) and (35) follows:
% 31.59/8.57 | (10108) op2(e20, e22) = all_0_116_116
% 31.59/8.57 |
% 31.59/8.57 | Instantiating formula (340) with e23, e22, all_0_114_114, all_0_235_235 and discharging atoms op2(e23, e22) = all_0_114_114, op2(e23, e22) = all_0_235_235, yields:
% 31.59/8.57 | (10109) all_0_114_114 = all_0_235_235
% 31.59/8.57 |
% 31.59/8.57 | Instantiating formula (340) with e23, e22, all_0_123_123, all_0_114_114 and discharging atoms op2(e23, e22) = all_0_114_114, op2(e23, e22) = all_0_123_123, yields:
% 31.59/8.57 | (7723) all_0_114_114 = all_0_123_123
% 31.59/8.57 |
% 31.59/8.57 | Instantiating formula (340) with e22, e22, all_0_149_149, all_0_239_239 and discharging atoms op2(e22, e22) = all_0_149_149, op2(e22, e22) = all_0_239_239, yields:
% 31.59/8.57 | (10111) all_0_149_149 = all_0_239_239
% 31.59/8.57 |
% 31.59/8.57 | Instantiating formula (340) with e22, e22, all_0_149_149, all_0_124_124 and discharging atoms op2(e22, e22) = all_0_124_124, op2(e22, e22) = all_0_149_149, yields:
% 31.59/8.57 | (10112) all_0_124_124 = all_0_149_149
% 31.59/8.57 |
% 31.59/8.57 | Instantiating formula (340) with e22, e22, all_0_150_150, all_0_149_149 and discharging atoms op2(e22, e22) = all_0_149_149, op2(e22, e22) = all_0_150_150, yields:
% 31.59/8.57 | (9107) all_0_149_149 = all_0_150_150
% 31.59/8.57 |
% 31.59/8.57 | Instantiating formula (340) with e22, e22, all_0_157_157, all_0_124_124 and discharging atoms op2(e22, e22) = all_0_124_124, op2(e22, e22) = all_0_157_157, yields:
% 31.59/8.57 | (10114) all_0_124_124 = all_0_157_157
% 31.59/8.57 |
% 31.59/8.57 | Instantiating formula (340) with e21, e22, all_0_159_159, all_0_115_115 and discharging atoms op2(e21, e22) = all_0_115_115, op2(e21, e22) = all_0_159_159, yields:
% 31.59/8.57 | (10115) all_0_115_115 = all_0_159_159
% 31.59/8.57 |
% 31.59/8.57 | Instantiating formula (340) with e21, e22, e22, all_0_115_115 and discharging atoms op2(e21, e22) = all_0_115_115, op2(e21, e22) = e22, yields:
% 31.59/8.57 | (10116) all_0_115_115 = e22
% 31.59/8.57 |
% 31.59/8.57 | Instantiating formula (340) with e21, e20, all_0_161_161, e21 and discharging atoms op2(e21, e20) = all_0_161_161, op2(e21, e20) = e21, yields:
% 31.59/8.57 | (8954) all_0_161_161 = e21
% 31.59/8.57 |
% 31.59/8.57 | Instantiating formula (340) with e20, e22, all_0_116_116, e21 and discharging atoms op2(e20, e22) = all_0_116_116, op2(e20, e22) = e21, yields:
% 31.59/8.57 | (10118) all_0_116_116 = e21
% 31.59/8.57 |
% 31.59/8.57 | Instantiating formula (340) with e20, e22, all_0_125_125, all_0_116_116 and discharging atoms op2(e20, e22) = all_0_116_116, op2(e20, e22) = all_0_125_125, yields:
% 31.59/8.57 | (10119) all_0_116_116 = all_0_125_125
% 31.59/8.57 |
% 31.59/8.57 | Combining equations (10109,7723) yields a new equation:
% 31.59/8.57 | (10120) all_0_123_123 = all_0_235_235
% 31.59/8.57 |
% 31.59/8.57 | Combining equations (10115,10116) yields a new equation:
% 31.59/8.57 | (10121) all_0_159_159 = e22
% 31.59/8.57 |
% 31.59/8.57 | Simplifying 10121 yields:
% 31.59/8.57 | (7398) all_0_159_159 = e22
% 31.59/8.57 |
% 31.59/8.57 | Combining equations (10119,10118) yields a new equation:
% 31.59/8.57 | (10123) all_0_125_125 = e21
% 31.59/8.57 |
% 31.59/8.57 | Simplifying 10123 yields:
% 31.59/8.57 | (10124) all_0_125_125 = e21
% 31.59/8.57 |
% 31.59/8.57 | Combining equations (10112,10114) yields a new equation:
% 31.59/8.57 | (10125) all_0_149_149 = all_0_157_157
% 31.59/8.57 |
% 31.59/8.57 | Simplifying 10125 yields:
% 31.59/8.58 | (10126) all_0_149_149 = all_0_157_157
% 31.59/8.58 |
% 31.59/8.58 | Combining equations (10111,9107) yields a new equation:
% 31.59/8.58 | (10127) all_0_150_150 = all_0_239_239
% 31.59/8.58 |
% 31.59/8.58 | Combining equations (10126,9107) yields a new equation:
% 31.59/8.58 | (10128) all_0_150_150 = all_0_157_157
% 31.59/8.58 |
% 31.59/8.58 | Combining equations (10127,10128) yields a new equation:
% 31.59/8.58 | (10129) all_0_157_157 = all_0_239_239
% 31.59/8.58 |
% 31.59/8.58 | Combining equations (10129,10128) yields a new equation:
% 31.59/8.58 | (10127) all_0_150_150 = all_0_239_239
% 31.59/8.58 |
% 31.59/8.58 | Combining equations (10127,9107) yields a new equation:
% 31.59/8.58 | (10111) all_0_149_149 = all_0_239_239
% 31.59/8.58 |
% 31.59/8.58 | Combining equations (10120,7723) yields a new equation:
% 31.59/8.58 | (10109) all_0_114_114 = all_0_235_235
% 31.59/8.58 |
% 31.59/8.58 | From (8954)(8954) and (200) follows:
% 31.69/8.58 | (10133) op2(e21, e21) = all_0_74_74
% 31.69/8.58 |
% 31.69/8.58 | From (8954) and (71) follows:
% 31.69/8.58 | (10134) op2(e21, e21) = all_0_76_76
% 31.69/8.58 |
% 31.69/8.58 | From (8954) and (10092) follows:
% 31.69/8.58 | (10135) op2(e21, e20) = all_0_72_72
% 31.69/8.58 |
% 31.69/8.58 | From (8954) and (83) follows:
% 31.69/8.58 | (10136) op2(e21, e21) = all_0_95_95
% 31.69/8.58 |
% 31.69/8.58 | From (8954) and (10093) follows:
% 31.69/8.58 | (9971) op2(e21, e20) = e21
% 31.69/8.58 |
% 31.69/8.58 | From (10124) and (10079) follows:
% 31.69/8.58 | (39) op2(e20, e22) = e21
% 31.69/8.58 |
% 31.69/8.58 | Instantiating formula (340) with e21, e21, all_0_74_74, e20 and discharging atoms op2(e21, e21) = all_0_74_74, op2(e21, e21) = e20, yields:
% 31.69/8.58 | (10139) all_0_74_74 = e20
% 31.69/8.58 |
% 31.69/8.58 | Instantiating formula (340) with e21, e21, all_0_76_76, all_0_74_74 and discharging atoms op2(e21, e21) = all_0_74_74, op2(e21, e21) = all_0_76_76, yields:
% 31.69/8.58 | (10140) all_0_74_74 = all_0_76_76
% 31.69/8.58 |
% 31.69/8.58 | Instantiating formula (340) with e21, e21, all_0_95_95, all_0_74_74 and discharging atoms op2(e21, e21) = all_0_74_74, op2(e21, e21) = all_0_95_95, yields:
% 31.69/8.58 | (10141) all_0_74_74 = all_0_95_95
% 31.69/8.58 |
% 31.69/8.58 | Instantiating formula (340) with e21, e20, all_0_72_72, e21 and discharging atoms op2(e21, e20) = all_0_72_72, op2(e21, e20) = e21, yields:
% 31.69/8.58 | (10142) all_0_72_72 = e21
% 31.69/8.58 |
% 31.69/8.59 | Combining equations (10141,10140) yields a new equation:
% 31.69/8.59 | (10143) all_0_76_76 = all_0_95_95
% 31.69/8.59 |
% 31.69/8.59 | Combining equations (10139,10140) yields a new equation:
% 31.69/8.59 | (10144) all_0_76_76 = e20
% 31.69/8.59 |
% 31.69/8.59 | Combining equations (10144,10143) yields a new equation:
% 31.69/8.59 | (10145) all_0_95_95 = e20
% 31.69/8.59 |
% 31.69/8.59 | From (10145) and (434) follows:
% 31.69/8.59 | (10146) op2(e21, e20) = all_0_78_78
% 31.69/8.59 |
% 31.69/8.59 | From (10142) and (10135) follows:
% 31.69/8.59 | (9971) op2(e21, e20) = e21
% 31.69/8.59 |
% 31.69/8.59 | Instantiating formula (340) with e21, e20, all_0_78_78, e21 and discharging atoms op2(e21, e20) = all_0_78_78, op2(e21, e20) = e21, yields:
% 31.69/8.59 | (10148) all_0_78_78 = e21
% 31.69/8.59 |
% 31.69/8.59 | From (10148) and (10146) follows:
% 31.69/8.59 | (9971) op2(e21, e20) = e21
% 31.69/8.59 |
% 31.69/8.59 +-Applying beta-rule and splitting (430), into two cases.
% 31.69/8.59 |-Branch one:
% 31.69/8.59 | (604) all_0_234_234 = e23
% 31.69/8.59 |
% 31.69/8.59 | Combining equations (6310,604) yields a new equation:
% 31.69/8.59 | (639) e23 = e22
% 31.69/8.59 |
% 31.69/8.59 | Equations (639) can reduce 449 to:
% 31.69/8.59 | (537) $false
% 31.69/8.59 |
% 31.69/8.59 |-The branch is then unsatisfiable
% 31.69/8.59 |-Branch two:
% 31.69/8.59 | (6625) ~ (all_0_234_234 = e23)
% 31.69/8.59 | (6626) all_0_235_235 = e23 | all_0_237_237 = e23
% 31.69/8.59 |
% 31.69/8.59 +-Applying beta-rule and splitting (82), into two cases.
% 31.69/8.59 |-Branch one:
% 31.69/8.59 | (6372) all_0_239_239 = e22
% 31.69/8.59 |
% 31.69/8.59 | Equations (6372) can reduce 6318 to:
% 31.69/8.59 | (537) $false
% 31.69/8.59 |
% 31.69/8.59 |-The branch is then unsatisfiable
% 31.69/8.59 |-Branch two:
% 31.69/8.59 | (6318) ~ (all_0_239_239 = e22)
% 31.69/8.59 | (6375) all_0_239_239 = e23 | all_0_239_239 = e20
% 31.69/8.59 |
% 31.69/8.59 +-Applying beta-rule and splitting (448), into two cases.
% 31.69/8.59 |-Branch one:
% 31.69/8.59 | (633) all_0_235_235 = e23
% 31.69/8.59 |
% 31.69/8.59 | Combining equations (633,7056) yields a new equation:
% 31.69/8.59 | (6763) all_0_133_133 = e23
% 31.69/8.59 |
% 31.69/8.59 | Combining equations (633,10120) yields a new equation:
% 31.69/8.59 | (10161) all_0_123_123 = e23
% 31.69/8.59 |
% 31.69/8.59 | Combining equations (633,10109) yields a new equation:
% 31.69/8.59 | (10162) all_0_114_114 = e23
% 31.69/8.59 |
% 31.69/8.59 | Equations (633) can reduce 447 to:
% 31.69/8.59 | (7649) ~ (all_0_237_237 = e23)
% 31.69/8.59 |
% 31.69/8.59 | Simplifying 7649 yields:
% 31.69/8.59 | (592) ~ (all_0_237_237 = e23)
% 31.69/8.59 |
% 31.69/8.59 | Equations (633) can reduce 415 to:
% 31.69/8.59 | (7326) ~ (all_0_239_239 = e23)
% 31.69/8.59 |
% 31.69/8.59 | Simplifying 7326 yields:
% 31.69/8.59 | (6283) ~ (all_0_239_239 = e23)
% 31.69/8.59 |
% 31.69/8.59 | Equations (633) can reduce 416 to:
% 31.69/8.59 | (215) ~ (e23 = e21)
% 31.69/8.59 |
% 31.69/8.59 +-Applying beta-rule and splitting (204), into two cases.
% 31.69/8.59 |-Branch one:
% 31.69/8.59 | (589) all_0_237_237 = e23
% 31.69/8.59 |
% 31.69/8.59 | Equations (589) can reduce 592 to:
% 31.69/8.59 | (537) $false
% 31.69/8.59 |
% 31.69/8.59 |-The branch is then unsatisfiable
% 31.69/8.59 |-Branch two:
% 31.69/8.59 | (592) ~ (all_0_237_237 = e23)
% 31.69/8.59 | (593) all_0_241_241 = e23 | all_0_245_245 = e23
% 31.69/8.59 |
% 31.69/8.59 +-Applying beta-rule and splitting (397), into two cases.
% 31.69/8.59 |-Branch one:
% 31.69/8.59 | (637) all_0_238_238 = e23
% 31.69/8.59 |
% 31.69/8.59 | Combining equations (637,536) yields a new equation:
% 31.69/8.59 | (597) e23 = e21
% 31.69/8.59 |
% 31.69/8.59 | Simplifying 597 yields:
% 31.69/8.59 | (590) e23 = e21
% 31.69/8.59 |
% 31.69/8.59 | Equations (590) can reduce 215 to:
% 31.69/8.59 | (537) $false
% 31.69/8.59 |
% 31.69/8.59 |-The branch is then unsatisfiable
% 31.69/8.59 |-Branch two:
% 31.69/8.59 | (608) ~ (all_0_238_238 = e23)
% 31.69/8.59 | (642) all_0_239_239 = e23 | all_0_241_241 = e23
% 31.69/8.59 |
% 31.69/8.59 +-Applying beta-rule and splitting (7004), into two cases.
% 31.69/8.59 |-Branch one:
% 31.69/8.59 | (589) all_0_237_237 = e23
% 31.69/8.59 |
% 31.69/8.59 | Equations (589) can reduce 592 to:
% 31.69/8.59 | (537) $false
% 31.69/8.59 |
% 31.69/8.59 |-The branch is then unsatisfiable
% 31.69/8.59 |-Branch two:
% 31.69/8.59 | (592) ~ (all_0_237_237 = e23)
% 31.69/8.59 | (675) all_0_237_237 = e20
% 31.69/8.59 |
% 31.69/8.59 | From (675) and (175) follows:
% 31.69/8.59 | (10182) op2(e21, e20) = all_0_106_106
% 31.69/8.59 |
% 31.69/8.59 +-Applying beta-rule and splitting (234), into two cases.
% 31.69/8.59 |-Branch one:
% 31.69/8.59 | (6389) all_0_239_239 = e20
% 31.69/8.59 |
% 31.69/8.60 | Equations (6389) can reduce 6283 to:
% 31.69/8.60 | (671) ~ (e23 = e20)
% 31.69/8.60 |
% 31.69/8.60 | Simplifying 671 yields:
% 31.69/8.60 | (14) ~ (e23 = e20)
% 31.69/8.60 |
% 31.69/8.60 | From (6389) and (216) follows:
% 31.69/8.60 | (10186) op2(e21, e20) = all_0_112_112
% 31.69/8.60 |
% 31.69/8.60 +-Applying beta-rule and splitting (642), into two cases.
% 31.69/8.60 |-Branch one:
% 31.69/8.60 | (692) all_0_239_239 = e23
% 31.69/8.60 |
% 31.69/8.60 | Combining equations (692,6389) yields a new equation:
% 31.69/8.60 | (683) e23 = e20
% 31.69/8.60 |
% 31.69/8.60 | Simplifying 683 yields:
% 31.69/8.60 | (684) e23 = e20
% 31.69/8.60 |
% 31.69/8.60 | Equations (684) can reduce 14 to:
% 31.69/8.60 | (537) $false
% 31.69/8.60 |
% 31.69/8.60 |-The branch is then unsatisfiable
% 31.69/8.60 |-Branch two:
% 31.69/8.60 | (6283) ~ (all_0_239_239 = e23)
% 31.69/8.60 | (682) all_0_241_241 = e23
% 31.69/8.60 |
% 31.69/8.60 | Equations (682) can reduce 527 to:
% 31.69/8.60 | (215) ~ (e23 = e21)
% 31.69/8.60 |
% 31.69/8.60 | Instantiating formula (340) with e21, e20, all_0_106_106, e21 and discharging atoms op2(e21, e20) = all_0_106_106, op2(e21, e20) = e21, yields:
% 31.69/8.60 | (10194) all_0_106_106 = e21
% 31.69/8.60 |
% 31.69/8.60 | Instantiating formula (340) with e21, e20, all_0_112_112, all_0_106_106 and discharging atoms op2(e21, e20) = all_0_106_106, op2(e21, e20) = all_0_112_112, yields:
% 31.69/8.60 | (10195) all_0_106_106 = all_0_112_112
% 31.69/8.60 |
% 31.69/8.60 | Combining equations (10195,10194) yields a new equation:
% 31.69/8.60 | (10196) all_0_112_112 = e21
% 31.69/8.60 |
% 31.69/8.60 | Simplifying 10196 yields:
% 31.69/8.60 | (10197) all_0_112_112 = e21
% 31.69/8.60 |
% 31.69/8.60 +-Applying beta-rule and splitting (338), into two cases.
% 31.69/8.60 |-Branch one:
% 31.69/8.60 | (6766) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)) | (all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21)) | (all_0_245_245 = e23 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e20) & ~ (all_0_164_164 = e21)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e20) & ~ (all_0_133_133 = e23)) | ( ~ (all_0_111_111 = e23) & ~ (all_0_112_112 = e21) & ~ (all_0_113_113 = e20) & ~ (all_0_147_147 = e22)) | ( ~ (all_0_126_126 = e23) & ~ (all_0_127_127 = e22) & ~ (all_0_128_128 = e20) & ~ (all_0_161_161 = e21))
% 31.69/8.60 |
% 31.69/8.60 +-Applying beta-rule and splitting (6766), into two cases.
% 31.69/8.60 |-Branch one:
% 31.69/8.60 | (6767) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)) | (all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21)) | (all_0_245_245 = e23 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e20) & ~ (all_0_164_164 = e21)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e20) & ~ (all_0_133_133 = e23)) | ( ~ (all_0_111_111 = e23) & ~ (all_0_112_112 = e21) & ~ (all_0_113_113 = e20) & ~ (all_0_147_147 = e22))
% 31.69/8.60 |
% 31.69/8.60 +-Applying beta-rule and splitting (6767), into two cases.
% 31.69/8.60 |-Branch one:
% 31.69/8.60 | (6768) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)) | (all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21)) | (all_0_245_245 = e23 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e20) & ~ (all_0_164_164 = e21)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e20) & ~ (all_0_133_133 = e23))
% 31.69/8.60 |
% 31.69/8.60 +-Applying beta-rule and splitting (6768), into two cases.
% 31.69/8.60 |-Branch one:
% 31.69/8.60 | (6769) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)) | (all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21)) | (all_0_245_245 = e23 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e20) & ~ (all_0_164_164 = e21))
% 31.69/8.60 |
% 31.69/8.60 +-Applying beta-rule and splitting (6769), into two cases.
% 31.69/8.60 |-Branch one:
% 31.69/8.60 | (6770) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)) | (all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21))
% 31.69/8.60 |
% 31.69/8.60 +-Applying beta-rule and splitting (6770), into two cases.
% 31.69/8.60 |-Branch one:
% 31.69/8.60 | (6771) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22))
% 31.69/8.60 |
% 31.69/8.60 +-Applying beta-rule and splitting (6771), into two cases.
% 31.69/8.60 |-Branch one:
% 31.69/8.60 | (6772) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21))
% 31.69/8.60 |
% 31.69/8.60 +-Applying beta-rule and splitting (6772), into two cases.
% 31.69/8.60 |-Branch one:
% 31.69/8.60 | (6773) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22))
% 31.69/8.60 |
% 31.69/8.60 +-Applying beta-rule and splitting (6773), into two cases.
% 31.69/8.60 |-Branch one:
% 31.69/8.60 | (6774) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21))
% 31.69/8.60 |
% 31.69/8.60 +-Applying beta-rule and splitting (6774), into two cases.
% 31.69/8.60 |-Branch one:
% 31.69/8.60 | (6775) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23))
% 31.69/8.60 |
% 31.69/8.60 +-Applying beta-rule and splitting (6775), into two cases.
% 31.69/8.60 |-Branch one:
% 31.69/8.60 | (6776) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21))
% 31.69/8.60 |
% 31.69/8.60 +-Applying beta-rule and splitting (6776), into two cases.
% 31.69/8.60 |-Branch one:
% 31.69/8.60 | (6777) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23))
% 31.69/8.60 |
% 31.69/8.60 +-Applying beta-rule and splitting (6777), into two cases.
% 31.69/8.60 |-Branch one:
% 31.69/8.60 | (6778) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22))
% 31.69/8.61 |
% 31.69/8.61 +-Applying beta-rule and splitting (6778), into two cases.
% 31.69/8.61 |-Branch one:
% 31.69/8.61 | (6779) all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)
% 31.69/8.61 |
% 31.69/8.61 | Applying alpha-rule on (6779) yields:
% 31.69/8.61 | (6780) ~ (all_0_100_100 = e21)
% 31.69/8.61 | (6781) ~ (all_0_136_136 = e23)
% 31.69/8.61 | (6782) ~ (all_0_101_101 = e20)
% 31.69/8.61 | (6783) ~ (all_0_99_99 = e22)
% 31.69/8.61 | (6784) all_0_235_235 = all_0_238_238
% 31.69/8.61 |
% 31.69/8.61 | Combining equations (633,6784) yields a new equation:
% 31.69/8.61 | (637) all_0_238_238 = e23
% 31.69/8.61 |
% 31.69/8.61 | Combining equations (536,637) yields a new equation:
% 31.69/8.61 | (590) e23 = e21
% 31.69/8.61 |
% 31.69/8.61 | Equations (590) can reduce 215 to:
% 31.69/8.61 | (537) $false
% 31.69/8.61 |
% 31.69/8.61 |-The branch is then unsatisfiable
% 31.69/8.61 |-Branch two:
% 31.69/8.61 | (6786) all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)
% 31.69/8.61 |
% 31.69/8.61 | Applying alpha-rule on (6786) yields:
% 31.69/8.61 | (6787) ~ (all_0_109_109 = e21)
% 31.69/8.61 | (6788) ~ (all_0_145_145 = e22)
% 31.69/8.61 | (6789) ~ (all_0_110_110 = e20)
% 31.69/8.61 | (6790) ~ (all_0_108_108 = e23)
% 31.69/8.61 | (6784) all_0_235_235 = all_0_238_238
% 31.69/8.61 |
% 31.69/8.61 | Combining equations (633,6784) yields a new equation:
% 31.69/8.61 | (637) all_0_238_238 = e23
% 31.69/8.61 |
% 31.69/8.61 | Combining equations (536,637) yields a new equation:
% 31.69/8.61 | (590) e23 = e21
% 31.69/8.61 |
% 31.69/8.61 | Equations (590) can reduce 215 to:
% 31.69/8.61 | (537) $false
% 31.69/8.61 |
% 31.69/8.61 |-The branch is then unsatisfiable
% 31.69/8.61 |-Branch two:
% 31.69/8.61 | (6793) all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)
% 31.69/8.61 |
% 31.69/8.61 | Applying alpha-rule on (6793) yields:
% 31.69/8.61 | (6794) all_0_236_236 = all_0_242_242
% 31.69/8.61 | (6795) ~ (all_0_139_139 = e23)
% 31.69/8.61 | (6796) ~ (all_0_103_103 = e21)
% 31.69/8.61 | (6797) ~ (all_0_102_102 = e22)
% 31.69/8.61 | (6798) ~ (all_0_104_104 = e20)
% 31.69/8.61 |
% 31.69/8.61 | Combining equations (577,6794) yields a new equation:
% 31.69/8.61 | (500) all_0_242_242 = e21
% 31.69/8.61 |
% 31.69/8.61 | Combining equations (500,596) yields a new equation:
% 31.69/8.61 | (590) e23 = e21
% 31.69/8.61 |
% 31.69/8.61 | Equations (590) can reduce 215 to:
% 31.69/8.61 | (537) $false
% 31.69/8.61 |
% 31.69/8.61 |-The branch is then unsatisfiable
% 31.69/8.61 |-Branch two:
% 31.69/8.61 | (6803) all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)
% 31.69/8.61 |
% 31.69/8.61 | Applying alpha-rule on (6803) yields:
% 31.69/8.61 | (6804) ~ (all_0_122_122 = e20)
% 31.69/8.61 | (6805) ~ (all_0_121_121 = e22)
% 31.69/8.61 | (6794) all_0_236_236 = all_0_242_242
% 31.69/8.61 | (6807) ~ (all_0_156_156 = e21)
% 31.69/8.61 | (6808) ~ (all_0_120_120 = e23)
% 31.69/8.61 |
% 31.69/8.61 | Combining equations (577,6794) yields a new equation:
% 31.69/8.61 | (500) all_0_242_242 = e21
% 31.69/8.61 |
% 31.69/8.61 | Combining equations (500,596) yields a new equation:
% 31.69/8.61 | (590) e23 = e21
% 31.69/8.61 |
% 31.69/8.61 | Equations (590) can reduce 215 to:
% 31.69/8.61 | (537) $false
% 31.69/8.61 |
% 31.69/8.61 |-The branch is then unsatisfiable
% 31.69/8.61 |-Branch two:
% 31.69/8.61 | (6813) all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)
% 31.69/8.61 |
% 31.69/8.61 | Applying alpha-rule on (6813) yields:
% 31.69/8.61 | (675) all_0_237_237 = e20
% 31.69/8.61 | (6815) ~ (all_0_142_142 = e23)
% 31.69/8.61 | (6816) ~ (all_0_106_106 = e21)
% 31.69/8.61 | (6817) ~ (all_0_107_107 = e20)
% 31.69/8.61 | (6818) ~ (all_0_105_105 = e22)
% 31.69/8.61 |
% 31.69/8.61 | Equations (10194) can reduce 6816 to:
% 31.69/8.61 | (537) $false
% 31.69/8.61 |
% 31.69/8.61 |-The branch is then unsatisfiable
% 31.69/8.61 |-Branch two:
% 31.69/8.61 | (6821) all_0_237_237 = e20 & ~ (all_0_245_245 = e21)
% 31.69/8.61 |
% 31.69/8.61 | Applying alpha-rule on (6821) yields:
% 31.69/8.61 | (675) all_0_237_237 = e20
% 31.69/8.61 | (506) ~ (all_0_245_245 = e21)
% 31.69/8.61 |
% 31.69/8.61 | Equations (569) can reduce 506 to:
% 31.69/8.61 | (537) $false
% 31.69/8.61 |
% 31.69/8.61 |-The branch is then unsatisfiable
% 31.69/8.62 |-Branch two:
% 31.69/8.62 | (6826) all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)
% 31.69/8.62 |
% 31.69/8.62 | Applying alpha-rule on (6826) yields:
% 31.69/8.62 | (6827) ~ (all_0_150_150 = e22)
% 31.69/8.62 | (6828) ~ (all_0_115_115 = e21)
% 31.69/8.62 | (6829) ~ (all_0_114_114 = e23)
% 31.69/8.62 | (6830) all_0_240_240 = all_0_243_243
% 31.69/8.62 | (6831) ~ (all_0_116_116 = e20)
% 31.69/8.62 |
% 31.69/8.62 | Equations (10162) can reduce 6829 to:
% 31.69/8.62 | (537) $false
% 31.69/8.62 |
% 31.69/8.62 |-The branch is then unsatisfiable
% 31.69/8.62 |-Branch two:
% 31.69/8.62 | (6836) all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)
% 31.69/8.62 |
% 31.69/8.62 | Applying alpha-rule on (6836) yields:
% 31.69/8.62 | (6837) ~ (all_0_123_123 = e23)
% 31.69/8.62 | (6830) all_0_240_240 = all_0_243_243
% 31.69/8.62 | (6839) ~ (all_0_159_159 = e21)
% 31.69/8.62 | (6840) ~ (all_0_124_124 = e22)
% 31.69/8.62 | (6841) ~ (all_0_125_125 = e20)
% 31.69/8.62 |
% 31.69/8.62 | Equations (10161) can reduce 6837 to:
% 31.69/8.62 | (537) $false
% 31.69/8.62 |
% 31.69/8.62 |-The branch is then unsatisfiable
% 31.69/8.62 |-Branch two:
% 31.69/8.62 | (6846) all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)
% 31.69/8.62 |
% 31.69/8.62 | Applying alpha-rule on (6846) yields:
% 31.69/8.62 | (6847) ~ (all_0_119_119 = e20)
% 31.69/8.62 | (6848) ~ (all_0_117_117 = e23)
% 31.69/8.62 | (585) all_0_241_241 = e21
% 31.69/8.62 | (6850) ~ (all_0_153_153 = e22)
% 31.69/8.62 | (6851) ~ (all_0_118_118 = e21)
% 31.69/8.62 |
% 31.69/8.62 | Combining equations (682,585) yields a new equation:
% 31.69/8.62 | (597) e23 = e21
% 31.69/8.62 |
% 31.69/8.62 | Simplifying 597 yields:
% 31.69/8.62 | (590) e23 = e21
% 31.69/8.62 |
% 31.69/8.62 | Equations (590) can reduce 215 to:
% 31.69/8.62 | (537) $false
% 31.69/8.62 |
% 31.69/8.62 |-The branch is then unsatisfiable
% 31.69/8.62 |-Branch two:
% 31.69/8.62 | (6854) all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21)
% 31.69/8.62 |
% 31.69/8.62 | Applying alpha-rule on (6854) yields:
% 31.69/8.62 | (585) all_0_241_241 = e21
% 31.69/8.62 | (6338) ~ (all_0_240_240 = e22)
% 31.69/8.62 | (547) ~ (all_0_244_244 = e21)
% 31.69/8.62 |
% 31.69/8.62 | Combining equations (682,585) yields a new equation:
% 31.69/8.62 | (597) e23 = e21
% 31.69/8.62 |
% 31.69/8.62 | Simplifying 597 yields:
% 31.69/8.62 | (590) e23 = e21
% 31.69/8.62 |
% 31.69/8.62 | Equations (590) can reduce 215 to:
% 31.69/8.62 | (537) $false
% 31.69/8.62 |
% 31.69/8.62 |-The branch is then unsatisfiable
% 31.69/8.62 |-Branch two:
% 31.69/8.62 | (6860) all_0_245_245 = e23 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e20) & ~ (all_0_164_164 = e21)
% 31.69/8.62 |
% 31.69/8.62 | Applying alpha-rule on (6860) yields:
% 31.69/8.62 | (6861) ~ (all_0_164_164 = e21)
% 31.69/8.62 | (6862) ~ (all_0_129_129 = e23)
% 31.69/8.62 | (6863) ~ (all_0_131_131 = e20)
% 31.69/8.62 | (6864) ~ (all_0_130_130 = e22)
% 31.69/8.62 | (687) all_0_245_245 = e23
% 31.69/8.62 |
% 31.69/8.62 | Combining equations (687,569) yields a new equation:
% 31.69/8.62 | (597) e23 = e21
% 31.69/8.62 |
% 31.69/8.62 | Simplifying 597 yields:
% 31.69/8.62 | (590) e23 = e21
% 31.69/8.62 |
% 31.69/8.62 | Equations (590) can reduce 215 to:
% 31.69/8.62 | (537) $false
% 31.69/8.62 |
% 31.69/8.62 |-The branch is then unsatisfiable
% 31.69/8.62 |-Branch two:
% 31.69/8.62 | (6867) ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e20) & ~ (all_0_133_133 = e23)
% 31.69/8.62 |
% 31.69/8.62 | Applying alpha-rule on (6867) yields:
% 31.69/8.62 | (6868) ~ (all_0_96_96 = e22)
% 31.69/8.62 | (6869) ~ (all_0_97_97 = e21)
% 31.69/8.62 | (6870) ~ (all_0_98_98 = e20)
% 31.69/8.62 | (6871) ~ (all_0_133_133 = e23)
% 31.69/8.62 |
% 31.69/8.62 | Equations (6763) can reduce 6871 to:
% 31.69/8.62 | (537) $false
% 31.69/8.62 |
% 31.69/8.62 |-The branch is then unsatisfiable
% 31.69/8.63 |-Branch two:
% 31.69/8.63 | (6873) ~ (all_0_111_111 = e23) & ~ (all_0_112_112 = e21) & ~ (all_0_113_113 = e20) & ~ (all_0_147_147 = e22)
% 31.69/8.63 |
% 31.69/8.63 | Applying alpha-rule on (6873) yields:
% 31.69/8.63 | (6874) ~ (all_0_111_111 = e23)
% 31.69/8.63 | (6875) ~ (all_0_112_112 = e21)
% 31.69/8.63 | (6876) ~ (all_0_113_113 = e20)
% 31.69/8.63 | (6877) ~ (all_0_147_147 = e22)
% 31.69/8.63 |
% 31.69/8.63 | Equations (10197) can reduce 6875 to:
% 31.69/8.63 | (537) $false
% 31.69/8.63 |
% 31.69/8.63 |-The branch is then unsatisfiable
% 31.69/8.63 |-Branch two:
% 31.69/8.63 | (6879) ~ (all_0_126_126 = e23) & ~ (all_0_127_127 = e22) & ~ (all_0_128_128 = e20) & ~ (all_0_161_161 = e21)
% 31.69/8.63 |
% 31.69/8.63 | Applying alpha-rule on (6879) yields:
% 31.69/8.63 | (6880) ~ (all_0_126_126 = e23)
% 31.69/8.63 | (6881) ~ (all_0_127_127 = e22)
% 31.69/8.63 | (6882) ~ (all_0_128_128 = e20)
% 31.69/8.63 | (6883) ~ (all_0_161_161 = e21)
% 31.69/8.63 |
% 31.69/8.63 | Equations (8954) can reduce 6883 to:
% 31.69/8.63 | (537) $false
% 31.69/8.63 |
% 31.69/8.63 |-The branch is then unsatisfiable
% 31.69/8.63 |-Branch two:
% 31.69/8.63 | (6885) ~ (all_0_235_235 = e23) & ~ (all_0_239_239 = e22)
% 31.69/8.63 |
% 31.69/8.63 | Applying alpha-rule on (6885) yields:
% 31.69/8.63 | (606) ~ (all_0_235_235 = e23)
% 31.69/8.63 | (6318) ~ (all_0_239_239 = e22)
% 31.69/8.63 |
% 31.69/8.63 | Equations (633) can reduce 606 to:
% 31.69/8.63 | (537) $false
% 31.69/8.63 |
% 31.69/8.63 |-The branch is then unsatisfiable
% 31.69/8.63 |-Branch two:
% 31.69/8.63 | (6378) ~ (all_0_239_239 = e20)
% 31.69/8.63 | (6392) all_0_240_240 = e20 | all_0_241_241 = e20
% 31.69/8.63 |
% 31.69/8.63 +-Applying beta-rule and splitting (6375), into two cases.
% 31.69/8.63 |-Branch one:
% 31.69/8.63 | (692) all_0_239_239 = e23
% 31.69/8.63 |
% 31.69/8.63 | Equations (692) can reduce 6283 to:
% 31.69/8.63 | (537) $false
% 31.69/8.63 |
% 31.69/8.63 |-The branch is then unsatisfiable
% 31.69/8.63 |-Branch two:
% 31.69/8.63 | (6283) ~ (all_0_239_239 = e23)
% 31.69/8.63 | (6389) all_0_239_239 = e20
% 31.69/8.63 |
% 31.69/8.63 | Equations (6389) can reduce 6378 to:
% 31.69/8.63 | (537) $false
% 31.69/8.63 |
% 31.69/8.63 |-The branch is then unsatisfiable
% 31.69/8.63 |-Branch two:
% 31.69/8.63 | (606) ~ (all_0_235_235 = e23)
% 31.69/8.63 | (636) all_0_239_239 = e23 | all_0_243_243 = e23
% 31.69/8.63 |
% 31.69/8.63 +-Applying beta-rule and splitting (6626), into two cases.
% 31.69/8.63 |-Branch one:
% 31.69/8.63 | (633) all_0_235_235 = e23
% 31.69/8.63 |
% 31.69/8.63 | Equations (633) can reduce 606 to:
% 31.69/8.63 | (537) $false
% 31.69/8.63 |
% 31.69/8.63 |-The branch is then unsatisfiable
% 31.69/8.63 |-Branch two:
% 31.69/8.63 | (606) ~ (all_0_235_235 = e23)
% 31.69/8.63 | (589) all_0_237_237 = e23
% 31.69/8.63 |
% 31.69/8.63 | Equations (589) can reduce 245 to:
% 31.69/8.63 | (6395) ~ (all_0_241_241 = e23)
% 31.69/8.63 |
% 31.69/8.63 | Simplifying 6395 yields:
% 31.69/8.63 | (686) ~ (all_0_241_241 = e23)
% 31.69/8.63 |
% 31.69/8.63 | Equations (589) can reduce 6941 to:
% 31.69/8.63 | (215) ~ (e23 = e21)
% 31.69/8.63 |
% 31.69/8.63 | From (589) and (268) follows:
% 31.69/8.63 | (7105) op2(e23, e23) = all_0_141_141
% 31.69/8.63 |
% 31.69/8.63 | From (589) and (4) follows:
% 31.69/8.63 | (7106) op2(e23, e23) = all_0_142_142
% 31.69/8.63 |
% 31.69/8.63 | From (589) and (201) follows:
% 31.69/8.63 | (7107) op2(e20, e23) = all_0_107_107
% 31.69/8.63 |
% 31.69/8.63 +-Applying beta-rule and splitting (397), into two cases.
% 31.69/8.63 |-Branch one:
% 31.69/8.63 | (637) all_0_238_238 = e23
% 31.69/8.63 |
% 31.69/8.63 | Combining equations (637,536) yields a new equation:
% 31.69/8.63 | (597) e23 = e21
% 31.69/8.63 |
% 31.69/8.63 | Simplifying 597 yields:
% 31.69/8.63 | (590) e23 = e21
% 31.69/8.63 |
% 31.69/8.63 | Equations (590) can reduce 215 to:
% 31.69/8.63 | (537) $false
% 31.69/8.63 |
% 31.69/8.63 |-The branch is then unsatisfiable
% 31.69/8.63 |-Branch two:
% 31.69/8.63 | (608) ~ (all_0_238_238 = e23)
% 31.69/8.63 | (642) all_0_239_239 = e23 | all_0_241_241 = e23
% 31.69/8.63 |
% 31.69/8.63 +-Applying beta-rule and splitting (642), into two cases.
% 31.69/8.63 |-Branch one:
% 31.69/8.63 | (692) all_0_239_239 = e23
% 31.69/8.63 |
% 31.69/8.63 | Combining equations (692,10111) yields a new equation:
% 31.69/8.63 | (6499) all_0_149_149 = e23
% 31.69/8.63 |
% 31.69/8.63 | Equations (692) can reduce 415 to:
% 31.69/8.63 | (606) ~ (all_0_235_235 = e23)
% 31.69/8.63 |
% 31.69/8.63 | Equations (692) can reduce 379 to:
% 31.69/8.63 | (6395) ~ (all_0_241_241 = e23)
% 31.69/8.63 |
% 31.69/8.63 | Simplifying 6395 yields:
% 31.69/8.63 | (686) ~ (all_0_241_241 = e23)
% 31.69/8.63 |
% 31.69/8.63 | Equations (692) can reduce 6318 to:
% 31.69/8.63 | (449) ~ (e23 = e22)
% 31.69/8.63 |
% 31.69/8.63 | Equations (692) can reduce 18 to:
% 31.69/8.63 | (215) ~ (e23 = e21)
% 31.69/8.63 |
% 31.69/8.63 | From (692)(692) and (309) follows:
% 31.69/8.63 | (10351) op2(e23, e23) = all_0_37_37
% 31.69/8.63 |
% 31.69/8.63 | From (692) and (109) follows:
% 31.69/8.64 | (10352) op2(e23, e23) = all_0_111_111
% 31.69/8.64 |
% 31.69/8.64 | From (692) and (217) follows:
% 31.69/8.64 | (10353) op2(e20, e23) = all_0_113_113
% 31.69/8.64 |
% 31.69/8.64 +-Applying beta-rule and splitting (234), into two cases.
% 31.69/8.64 |-Branch one:
% 31.69/8.64 | (6389) all_0_239_239 = e20
% 31.69/8.64 |
% 31.69/8.64 | Combining equations (692,6389) yields a new equation:
% 31.69/8.64 | (683) e23 = e20
% 31.69/8.64 |
% 31.69/8.64 | Simplifying 683 yields:
% 31.69/8.64 | (684) e23 = e20
% 31.69/8.64 |
% 31.69/8.64 | Equations (684) can reduce 14 to:
% 31.69/8.64 | (537) $false
% 31.69/8.64 |
% 31.69/8.64 |-The branch is then unsatisfiable
% 31.69/8.64 |-Branch two:
% 31.69/8.64 | (6378) ~ (all_0_239_239 = e20)
% 31.69/8.64 | (6392) all_0_240_240 = e20 | all_0_241_241 = e20
% 31.69/8.64 |
% 31.69/8.64 | Equations (692) can reduce 6378 to:
% 31.69/8.64 | (14) ~ (e23 = e20)
% 31.69/8.64 |
% 31.69/8.64 +-Applying beta-rule and splitting (157), into two cases.
% 31.69/8.64 |-Branch one:
% 31.69/8.64 | (651) all_0_235_235 = e20
% 31.69/8.64 |
% 31.69/8.64 | Equations (651) can reduce 606 to:
% 31.69/8.64 | (671) ~ (e23 = e20)
% 31.69/8.64 |
% 31.69/8.64 | Simplifying 671 yields:
% 31.69/8.64 | (14) ~ (e23 = e20)
% 31.69/8.64 |
% 31.69/8.64 | Equations (651) can reduce 416 to:
% 31.69/8.64 | (654) ~ (e21 = e20)
% 31.69/8.64 |
% 31.69/8.64 | Simplifying 654 yields:
% 31.69/8.64 | (401) ~ (e21 = e20)
% 31.69/8.64 |
% 31.69/8.64 | From (651) and (325) follows:
% 31.69/8.64 | (7121) op2(e20, e23) = all_0_135_135
% 31.69/8.64 |
% 31.69/8.64 | From (651) and (220) follows:
% 31.69/8.64 | (10367) op2(e20, e22) = all_0_134_134
% 31.69/8.64 |
% 31.69/8.64 +-Applying beta-rule and splitting (452), into two cases.
% 31.69/8.64 |-Branch one:
% 31.69/8.64 | (675) all_0_237_237 = e20
% 31.69/8.64 |
% 31.69/8.64 | Combining equations (589,675) yields a new equation:
% 31.69/8.64 | (683) e23 = e20
% 31.69/8.64 |
% 31.69/8.64 | Simplifying 683 yields:
% 31.69/8.64 | (684) e23 = e20
% 31.69/8.64 |
% 31.69/8.64 | Equations (684) can reduce 14 to:
% 31.69/8.64 | (537) $false
% 31.69/8.64 |
% 31.69/8.64 |-The branch is then unsatisfiable
% 31.69/8.64 |-Branch two:
% 31.69/8.64 | (679) ~ (all_0_237_237 = e20)
% 31.69/8.64 | (680) all_0_241_241 = e20 | all_0_245_245 = e20
% 31.69/8.64 |
% 31.69/8.64 +-Applying beta-rule and splitting (680), into two cases.
% 31.69/8.64 |-Branch one:
% 31.69/8.64 | (681) all_0_241_241 = e20
% 31.69/8.64 |
% 31.69/8.64 | Equations (681) can reduce 152 to:
% 31.69/8.64 | (652) ~ (e22 = e20)
% 31.69/8.64 |
% 31.69/8.64 | Simplifying 652 yields:
% 31.69/8.64 | (294) ~ (e22 = e20)
% 31.69/8.64 |
% 31.69/8.64 | Equations (681) can reduce 527 to:
% 31.69/8.64 | (654) ~ (e21 = e20)
% 31.69/8.64 |
% 31.69/8.64 | Simplifying 654 yields:
% 31.69/8.64 | (401) ~ (e21 = e20)
% 31.69/8.64 |
% 31.69/8.64 | From (681) and (463) follows:
% 31.69/8.64 | (6407) op2(e20, e22) = all_0_152_152
% 31.69/8.64 |
% 31.69/8.64 | Instantiating formula (340) with e23, e23, all_0_111_111, all_0_37_37 and discharging atoms op2(e23, e23) = all_0_37_37, op2(e23, e23) = all_0_111_111, yields:
% 31.69/8.64 | (10380) all_0_37_37 = all_0_111_111
% 31.69/8.64 |
% 31.69/8.64 | Instantiating formula (340) with e23, e23, all_0_141_141, e22 and discharging atoms op2(e23, e23) = all_0_141_141, op2(e23, e23) = e22, yields:
% 31.69/8.64 | (7199) all_0_141_141 = e22
% 31.69/8.64 |
% 31.69/8.64 | Instantiating formula (340) with e23, e23, all_0_141_141, all_0_111_111 and discharging atoms op2(e23, e23) = all_0_111_111, op2(e23, e23) = all_0_141_141, yields:
% 31.69/8.64 | (10382) all_0_111_111 = all_0_141_141
% 31.69/8.64 |
% 31.69/8.64 | Instantiating formula (340) with e23, e23, all_0_142_142, all_0_37_37 and discharging atoms op2(e23, e23) = all_0_37_37, op2(e23, e23) = all_0_142_142, yields:
% 31.69/8.64 | (10383) all_0_37_37 = all_0_142_142
% 31.69/8.64 |
% 31.69/8.64 | Instantiating formula (340) with e20, e23, all_0_107_107, e20 and discharging atoms op2(e20, e23) = all_0_107_107, op2(e20, e23) = e20, yields:
% 31.69/8.64 | (7189) all_0_107_107 = e20
% 31.69/8.64 |
% 31.69/8.64 | Instantiating formula (340) with e20, e23, all_0_113_113, all_0_107_107 and discharging atoms op2(e20, e23) = all_0_107_107, op2(e20, e23) = all_0_113_113, yields:
% 31.69/8.64 | (10385) all_0_107_107 = all_0_113_113
% 31.69/8.64 |
% 31.69/8.64 | Instantiating formula (340) with e20, e23, all_0_135_135, all_0_107_107 and discharging atoms op2(e20, e23) = all_0_107_107, op2(e20, e23) = all_0_135_135, yields:
% 31.69/8.64 | (10386) all_0_107_107 = all_0_135_135
% 31.69/8.64 |
% 31.69/8.64 | Instantiating formula (340) with e20, e22, all_0_134_134, e21 and discharging atoms op2(e20, e22) = all_0_134_134, op2(e20, e22) = e21, yields:
% 31.69/8.64 | (10387) all_0_134_134 = e21
% 31.69/8.64 |
% 31.69/8.64 | Instantiating formula (340) with e20, e22, all_0_152_152, all_0_134_134 and discharging atoms op2(e20, e22) = all_0_134_134, op2(e20, e22) = all_0_152_152, yields:
% 31.69/8.64 | (8735) all_0_134_134 = all_0_152_152
% 31.69/8.64 |
% 31.69/8.64 | Combining equations (10380,10383) yields a new equation:
% 31.69/8.64 | (10389) all_0_111_111 = all_0_142_142
% 31.69/8.64 |
% 31.69/8.64 | Simplifying 10389 yields:
% 31.69/8.64 | (10390) all_0_111_111 = all_0_142_142
% 31.69/8.64 |
% 31.69/8.64 | Combining equations (7189,10385) yields a new equation:
% 31.69/8.64 | (10391) all_0_113_113 = e20
% 31.69/8.64 |
% 31.69/8.64 | Combining equations (10386,10385) yields a new equation:
% 31.69/8.64 | (10392) all_0_113_113 = all_0_135_135
% 31.69/8.64 |
% 31.69/8.64 | Combining equations (10382,10390) yields a new equation:
% 31.69/8.64 | (10393) all_0_141_141 = all_0_142_142
% 31.69/8.64 |
% 31.69/8.65 | Simplifying 10393 yields:
% 31.69/8.65 | (7184) all_0_141_141 = all_0_142_142
% 31.69/8.65 |
% 31.69/8.65 | Combining equations (10392,10391) yields a new equation:
% 31.69/8.65 | (7200) all_0_135_135 = e20
% 31.69/8.65 |
% 31.69/8.65 | Simplifying 7200 yields:
% 31.69/8.65 | (7201) all_0_135_135 = e20
% 31.69/8.65 |
% 31.69/8.65 | Combining equations (10387,8735) yields a new equation:
% 31.69/8.65 | (6416) all_0_152_152 = e21
% 31.69/8.65 |
% 31.69/8.65 | Combining equations (7199,7184) yields a new equation:
% 31.69/8.65 | (7204) all_0_142_142 = e22
% 31.69/8.65 |
% 31.69/8.65 | Combining equations (7204,7184) yields a new equation:
% 31.69/8.65 | (7199) all_0_141_141 = e22
% 31.69/8.65 |
% 31.69/8.65 +-Applying beta-rule and splitting (69), into two cases.
% 31.69/8.65 |-Branch one:
% 31.69/8.65 | (6421) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)) | (all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20))
% 31.69/8.65 |
% 31.69/8.65 +-Applying beta-rule and splitting (6421), into two cases.
% 31.69/8.65 |-Branch one:
% 31.69/8.65 | (6422) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22))
% 31.69/8.65 |
% 31.69/8.65 +-Applying beta-rule and splitting (6422), into two cases.
% 31.69/8.65 |-Branch one:
% 31.69/8.65 | (6423) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23))
% 31.69/8.65 |
% 31.69/8.65 +-Applying beta-rule and splitting (6423), into two cases.
% 31.69/8.65 |-Branch one:
% 31.69/8.65 | (6424) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20))
% 31.69/8.65 |
% 31.69/8.65 +-Applying beta-rule and splitting (6424), into two cases.
% 31.69/8.65 |-Branch one:
% 31.69/8.65 | (6425) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21))
% 31.69/8.65 |
% 31.69/8.65 +-Applying beta-rule and splitting (6425), into two cases.
% 31.69/8.65 |-Branch one:
% 31.69/8.65 | (6426) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23))
% 31.69/8.65 |
% 31.69/8.65 +-Applying beta-rule and splitting (6426), into two cases.
% 31.69/8.65 |-Branch one:
% 31.69/8.65 | (6427) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20))
% 31.69/8.65 |
% 31.69/8.65 +-Applying beta-rule and splitting (6427), into two cases.
% 31.69/8.65 |-Branch one:
% 31.69/8.65 | (6428) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21))
% 31.69/8.65 |
% 31.69/8.65 +-Applying beta-rule and splitting (6428), into two cases.
% 31.69/8.65 |-Branch one:
% 31.69/8.65 | (6429) all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)
% 31.69/8.65 |
% 31.69/8.65 | Applying alpha-rule on (6429) yields:
% 31.69/8.65 | (6430) all_0_135_135 = e22
% 31.69/8.65 | (6431) ~ (all_0_134_134 = e23)
% 31.69/8.65 | (6432) ~ (all_0_136_136 = e22)
% 31.69/8.65 |
% 31.69/8.65 | Combining equations (7201,6430) yields a new equation:
% 31.69/8.65 | (658) e22 = e20
% 31.69/8.65 |
% 31.69/8.65 | Equations (658) can reduce 294 to:
% 31.69/8.65 | (537) $false
% 31.69/8.65 |
% 31.69/8.65 |-The branch is then unsatisfiable
% 31.69/8.65 |-Branch two:
% 31.69/8.65 | (6434) all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)
% 31.69/8.65 |
% 31.69/8.65 | Applying alpha-rule on (6434) yields:
% 31.69/8.65 | (6435) all_0_138_138 = e21
% 31.69/8.65 | (6436) ~ (all_0_137_137 = e23)
% 31.69/8.65 | (6437) ~ (all_0_139_139 = e21)
% 31.69/8.65 |
% 31.69/8.65 | Combining equations (8139,6435) yields a new equation:
% 31.69/8.65 | (597) e23 = e21
% 31.69/8.65 |
% 31.69/8.65 | Simplifying 597 yields:
% 31.69/8.65 | (590) e23 = e21
% 31.69/8.65 |
% 31.69/8.65 | Equations (590) can reduce 215 to:
% 31.69/8.65 | (537) $false
% 31.69/8.65 |
% 31.69/8.65 |-The branch is then unsatisfiable
% 31.69/8.65 |-Branch two:
% 31.69/8.65 | (6441) all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)
% 31.69/8.65 |
% 31.69/8.65 | Applying alpha-rule on (6441) yields:
% 31.69/8.66 | (6442) all_0_141_141 = e20
% 31.69/8.66 | (6443) ~ (all_0_140_140 = e23)
% 31.69/8.66 | (6444) ~ (all_0_142_142 = e20)
% 31.69/8.66 |
% 31.69/8.66 | Combining equations (7199,6442) yields a new equation:
% 31.69/8.66 | (657) e22 = e20
% 31.69/8.66 |
% 31.69/8.66 | Simplifying 657 yields:
% 31.69/8.66 | (658) e22 = e20
% 31.69/8.66 |
% 31.69/8.66 | Equations (658) can reduce 294 to:
% 31.69/8.66 | (537) $false
% 31.69/8.66 |
% 31.69/8.66 |-The branch is then unsatisfiable
% 31.69/8.66 |-Branch two:
% 31.69/8.66 | (6447) all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)
% 31.69/8.66 |
% 31.69/8.66 | Applying alpha-rule on (6447) yields:
% 31.69/8.66 | (6448) all_0_144_144 = e23
% 31.69/8.66 | (6449) ~ (all_0_143_143 = e22)
% 31.69/8.66 | (6450) ~ (all_0_145_145 = e23)
% 31.69/8.66 |
% 31.69/8.66 | Combining equations (9111,6448) yields a new equation:
% 31.69/8.66 | (639) e23 = e22
% 31.69/8.66 |
% 31.69/8.66 | Equations (639) can reduce 449 to:
% 31.69/8.66 | (537) $false
% 31.69/8.66 |
% 31.69/8.66 |-The branch is then unsatisfiable
% 31.69/8.66 |-Branch two:
% 31.69/8.66 | (6452) all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)
% 31.69/8.66 |
% 31.69/8.66 | Applying alpha-rule on (6452) yields:
% 31.69/8.66 | (6453) all_0_149_149 = e21
% 31.69/8.66 | (6454) ~ (all_0_148_148 = e22)
% 31.69/8.66 | (6455) ~ (all_0_150_150 = e21)
% 31.69/8.66 |
% 31.69/8.66 | Combining equations (6453,6499) yields a new equation:
% 31.69/8.66 | (590) e23 = e21
% 31.69/8.66 |
% 31.69/8.66 | Equations (590) can reduce 215 to:
% 31.69/8.66 | (537) $false
% 31.69/8.66 |
% 31.69/8.66 |-The branch is then unsatisfiable
% 31.69/8.66 |-Branch two:
% 31.69/8.66 | (6458) all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)
% 31.69/8.66 |
% 31.69/8.66 | Applying alpha-rule on (6458) yields:
% 31.69/8.66 | (6459) all_0_152_152 = e20
% 31.69/8.66 | (6460) ~ (all_0_151_151 = e22)
% 31.69/8.66 | (6461) ~ (all_0_153_153 = e20)
% 31.69/8.66 |
% 31.69/8.66 | Combining equations (6416,6459) yields a new equation:
% 31.69/8.66 | (663) e21 = e20
% 31.69/8.66 |
% 31.69/8.66 | Simplifying 663 yields:
% 31.69/8.66 | (664) e21 = e20
% 31.69/8.66 |
% 31.69/8.66 | Equations (664) can reduce 401 to:
% 31.69/8.66 | (537) $false
% 31.69/8.66 |
% 31.69/8.66 |-The branch is then unsatisfiable
% 31.69/8.66 |-Branch two:
% 31.69/8.66 | (6465) all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)
% 31.69/8.66 |
% 31.69/8.66 | Applying alpha-rule on (6465) yields:
% 31.69/8.66 | (6466) all_0_155_155 = e23
% 31.69/8.66 | (6467) ~ (all_0_154_154 = e21)
% 31.69/8.66 | (6468) ~ (all_0_156_156 = e23)
% 31.69/8.66 |
% 31.69/8.66 | Combining equations (6466,8144) yields a new equation:
% 31.69/8.66 | (597) e23 = e21
% 31.69/8.66 |
% 31.69/8.66 | Simplifying 597 yields:
% 31.69/8.66 | (590) e23 = e21
% 31.69/8.66 |
% 31.69/8.66 | Equations (590) can reduce 215 to:
% 31.69/8.66 | (537) $false
% 31.69/8.66 |
% 31.69/8.66 |-The branch is then unsatisfiable
% 31.69/8.66 |-Branch two:
% 31.69/8.66 | (6471) all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)
% 31.69/8.66 |
% 31.69/8.66 | Applying alpha-rule on (6471) yields:
% 31.69/8.66 | (6472) all_0_158_158 = e22
% 31.69/8.66 | (6473) ~ (all_0_157_157 = e21)
% 31.69/8.66 | (6474) ~ (all_0_159_159 = e22)
% 31.69/8.66 |
% 31.69/8.66 | Equations (7398) can reduce 6474 to:
% 31.69/8.66 | (537) $false
% 31.69/8.66 |
% 31.69/8.66 |-The branch is then unsatisfiable
% 31.69/8.66 |-Branch two:
% 31.69/8.66 | (6478) all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20)
% 31.69/8.66 |
% 31.69/8.66 | Applying alpha-rule on (6478) yields:
% 31.69/8.66 | (6479) all_0_163_163 = e20
% 31.69/8.67 | (6480) ~ (all_0_162_162 = e21)
% 31.69/8.67 | (6481) ~ (all_0_164_164 = e20)
% 31.69/8.67 |
% 31.69/8.67 | Equations (8122) can reduce 6481 to:
% 31.69/8.67 | (537) $false
% 31.69/8.67 |
% 31.69/8.67 |-The branch is then unsatisfiable
% 31.69/8.67 |-Branch two:
% 31.69/8.67 | (6483) all_0_237_237 = e21 & ~ (all_0_236_236 = e20)
% 31.69/8.67 |
% 31.69/8.67 | Applying alpha-rule on (6483) yields:
% 31.69/8.67 | (523) all_0_237_237 = e21
% 31.69/8.67 | (660) ~ (all_0_236_236 = e20)
% 31.69/8.67 |
% 31.69/8.67 | Combining equations (523,589) yields a new equation:
% 31.69/8.67 | (590) e23 = e21
% 31.69/8.67 |
% 31.69/8.67 | Equations (590) can reduce 215 to:
% 31.69/8.67 | (537) $false
% 31.69/8.67 |
% 31.69/8.67 |-The branch is then unsatisfiable
% 31.79/8.67 |-Branch two:
% 31.79/8.67 | (6294) ~ (all_0_241_241 = e20)
% 31.79/8.67 | (6295) all_0_245_245 = e20
% 31.79/8.67 |
% 31.79/8.67 | Combining equations (569,6295) yields a new equation:
% 31.79/8.67 | (663) e21 = e20
% 31.79/8.67 |
% 31.79/8.67 | Simplifying 663 yields:
% 31.79/8.67 | (664) e21 = e20
% 31.79/8.67 |
% 31.79/8.67 | Equations (664) can reduce 401 to:
% 31.79/8.67 | (537) $false
% 31.79/8.67 |
% 31.79/8.67 |-The branch is then unsatisfiable
% 31.79/8.67 |-Branch two:
% 31.79/8.67 | (6297) ~ (all_0_235_235 = e20)
% 31.79/8.67 | (6298) all_0_236_236 = e20 | all_0_237_237 = e20
% 31.79/8.67 |
% 31.79/8.67 +-Applying beta-rule and splitting (452), into two cases.
% 31.79/8.67 |-Branch one:
% 31.79/8.67 | (675) all_0_237_237 = e20
% 31.79/8.67 |
% 31.79/8.67 | Combining equations (589,675) yields a new equation:
% 31.79/8.67 | (683) e23 = e20
% 31.79/8.67 |
% 31.79/8.67 | Simplifying 683 yields:
% 31.79/8.67 | (684) e23 = e20
% 31.79/8.67 |
% 31.79/8.67 | Equations (684) can reduce 14 to:
% 31.79/8.67 | (537) $false
% 31.79/8.67 |
% 31.79/8.67 |-The branch is then unsatisfiable
% 31.79/8.67 |-Branch two:
% 31.79/8.67 | (679) ~ (all_0_237_237 = e20)
% 31.79/8.67 | (680) all_0_241_241 = e20 | all_0_245_245 = e20
% 31.79/8.67 |
% 31.79/8.67 +-Applying beta-rule and splitting (680), into two cases.
% 31.79/8.67 |-Branch one:
% 31.79/8.67 | (681) all_0_241_241 = e20
% 31.79/8.67 |
% 31.79/8.67 | Equations (681) can reduce 686 to:
% 31.79/8.67 | (671) ~ (e23 = e20)
% 31.79/8.67 |
% 31.79/8.67 | Simplifying 671 yields:
% 31.79/8.67 | (14) ~ (e23 = e20)
% 31.79/8.67 |
% 31.79/8.67 | Equations (681) can reduce 527 to:
% 31.79/8.67 | (654) ~ (e21 = e20)
% 31.79/8.67 |
% 31.79/8.67 | Simplifying 654 yields:
% 31.79/8.67 | (401) ~ (e21 = e20)
% 31.79/8.67 |
% 31.79/8.67 +-Applying beta-rule and splitting (6298), into two cases.
% 31.79/8.67 |-Branch one:
% 31.79/8.67 | (656) all_0_236_236 = e20
% 31.79/8.67 |
% 31.79/8.67 | Combining equations (577,656) yields a new equation:
% 31.79/8.67 | (663) e21 = e20
% 31.79/8.67 |
% 31.79/8.67 | Simplifying 663 yields:
% 31.79/8.67 | (664) e21 = e20
% 31.79/8.67 |
% 31.79/8.67 | Equations (664) can reduce 401 to:
% 31.79/8.67 | (537) $false
% 31.79/8.67 |
% 31.79/8.67 |-The branch is then unsatisfiable
% 31.79/8.67 |-Branch two:
% 31.79/8.67 | (660) ~ (all_0_236_236 = e20)
% 31.79/8.67 | (675) all_0_237_237 = e20
% 31.79/8.67 |
% 31.79/8.67 | Combining equations (589,675) yields a new equation:
% 31.79/8.67 | (683) e23 = e20
% 31.79/8.67 |
% 31.79/8.67 | Simplifying 683 yields:
% 31.79/8.67 | (684) e23 = e20
% 31.79/8.67 |
% 31.79/8.67 | Equations (684) can reduce 14 to:
% 31.79/8.67 | (537) $false
% 31.79/8.67 |
% 31.79/8.67 |-The branch is then unsatisfiable
% 31.79/8.67 |-Branch two:
% 31.79/8.67 | (6294) ~ (all_0_241_241 = e20)
% 31.79/8.67 | (6295) all_0_245_245 = e20
% 31.79/8.67 |
% 31.79/8.67 | Combining equations (569,6295) yields a new equation:
% 31.79/8.67 | (663) e21 = e20
% 31.79/8.67 |
% 31.79/8.67 | Simplifying 663 yields:
% 31.79/8.67 | (664) e21 = e20
% 31.79/8.67 |
% 31.79/8.67 | Equations (664) can reduce 401 to:
% 31.79/8.67 | (537) $false
% 31.79/8.67 |
% 31.79/8.67 |-The branch is then unsatisfiable
% 31.79/8.67 |-Branch two:
% 31.79/8.67 | (6283) ~ (all_0_239_239 = e23)
% 31.79/8.67 | (682) all_0_241_241 = e23
% 31.79/8.67 |
% 31.79/8.67 | Equations (682) can reduce 686 to:
% 31.79/8.67 | (537) $false
% 31.79/8.67 |
% 31.79/8.67 |-The branch is then unsatisfiable
% 31.79/8.67 |-Branch two:
% 31.79/8.67 | (6512) ~ (all_0_244_244 = e20)
% 31.79/8.67 | (6295) all_0_245_245 = e20
% 31.79/8.67 |
% 31.79/8.67 | Combining equations (569,6295) yields a new equation:
% 31.79/8.67 | (663) e21 = e20
% 31.79/8.67 |
% 31.79/8.67 | Simplifying 663 yields:
% 31.79/8.67 | (664) e21 = e20
% 31.79/8.67 |
% 31.79/8.67 | Equations (664) can reduce 401 to:
% 31.79/8.67 | (537) $false
% 31.79/8.67 |
% 31.79/8.67 |-The branch is then unsatisfiable
% 31.79/8.67 |-Branch two:
% 31.79/8.67 | (6287) ~ (all_0_243_243 = e22)
% 31.79/8.67 | (6288) all_0_243_243 = e23 | all_0_243_243 = e20
% 31.79/8.67 |
% 31.79/8.67 +-Applying beta-rule and splitting (254), into two cases.
% 31.79/8.67 |-Branch one:
% 31.79/8.67 | (6322) all_0_242_242 = e22
% 31.79/8.67 |
% 31.79/8.67 | Combining equations (6322,596) yields a new equation:
% 31.79/8.67 | (639) e23 = e22
% 31.79/8.67 |
% 31.79/8.67 | Equations (639) can reduce 449 to:
% 31.79/8.67 | (537) $false
% 31.79/8.67 |
% 31.79/8.67 |-The branch is then unsatisfiable
% 31.79/8.67 |-Branch two:
% 31.79/8.67 | (6325) ~ (all_0_242_242 = e22)
% 31.79/8.67 | (6326) all_0_243_243 = e22 | all_0_244_244 = e22
% 31.79/8.67 |
% 31.79/8.67 +-Applying beta-rule and splitting (6326), into two cases.
% 31.79/8.67 |-Branch one:
% 31.79/8.67 | (689) all_0_243_243 = e22
% 31.79/8.67 |
% 31.79/8.67 | Equations (689) can reduce 6287 to:
% 31.79/8.67 | (537) $false
% 31.79/8.67 |
% 31.79/8.67 |-The branch is then unsatisfiable
% 31.79/8.67 |-Branch two:
% 31.79/8.67 | (6287) ~ (all_0_243_243 = e22)
% 31.79/8.67 | (6339) all_0_244_244 = e22
% 31.79/8.67 |
% 31.79/8.67 | Equations (6339) can reduce 362 to:
% 31.79/8.67 | (6287) ~ (all_0_243_243 = e22)
% 31.79/8.67 |
% 31.79/8.67 | Equations (6339) can reduce 95 to:
% 31.79/8.67 | (613) ~ (e23 = e22)
% 31.79/8.67 |
% 31.79/8.67 | Simplifying 613 yields:
% 31.79/8.67 | (449) ~ (e23 = e22)
% 31.79/8.67 |
% 31.79/8.67 | From (6339)(6339) and (2) follows:
% 31.79/8.68 | (6683) op2(e22, e22) = all_0_64_64
% 31.79/8.68 |
% 31.79/8.68 | From (6339) and (13) follows:
% 31.79/8.68 | (6685) op2(e22, e22) = all_0_127_127
% 31.79/8.68 |
% 31.79/8.68 +-Applying beta-rule and splitting (6288), into two cases.
% 31.79/8.68 |-Branch one:
% 31.79/8.68 | (6284) all_0_243_243 = e23
% 31.79/8.68 |
% 31.79/8.68 | Equations (6284) can reduce 688 to:
% 31.79/8.68 | (537) $false
% 31.79/8.68 |
% 31.79/8.68 |-The branch is then unsatisfiable
% 31.79/8.68 |-Branch two:
% 31.79/8.68 | (688) ~ (all_0_243_243 = e23)
% 31.79/8.68 | (6292) all_0_243_243 = e20
% 31.79/8.68 |
% 31.79/8.68 | Equations (6292) can reduce 32 to:
% 31.79/8.68 | (6378) ~ (all_0_239_239 = e20)
% 31.79/8.68 |
% 31.79/8.68 | Equations (6292) can reduce 688 to:
% 31.79/8.68 | (671) ~ (e23 = e20)
% 31.79/8.68 |
% 31.79/8.68 | Simplifying 671 yields:
% 31.79/8.68 | (14) ~ (e23 = e20)
% 31.79/8.68 |
% 31.79/8.68 | Equations (6292) can reduce 6287 to:
% 31.79/8.68 | (652) ~ (e22 = e20)
% 31.79/8.68 |
% 31.79/8.68 | Simplifying 652 yields:
% 31.79/8.68 | (294) ~ (e22 = e20)
% 31.79/8.68 |
% 31.79/8.68 | Equations (6292) can reduce 74 to:
% 31.79/8.68 | (654) ~ (e21 = e20)
% 31.79/8.68 |
% 31.79/8.68 | Simplifying 654 yields:
% 31.79/8.68 | (401) ~ (e21 = e20)
% 31.79/8.68 |
% 31.79/8.68 | From (6292) and (370) follows:
% 31.79/8.68 | (10536) op2(e21, e20) = all_0_159_159
% 31.79/8.68 |
% 31.79/8.68 +-Applying beta-rule and splitting (281), into two cases.
% 31.79/8.68 |-Branch one:
% 31.79/8.68 | (647) all_0_235_235 = e22
% 31.79/8.68 |
% 31.79/8.68 | Equations (647) can reduce 646 to:
% 31.79/8.68 | (537) $false
% 31.79/8.68 |
% 31.79/8.68 |-The branch is then unsatisfiable
% 31.79/8.68 |-Branch two:
% 31.79/8.68 | (646) ~ (all_0_235_235 = e22)
% 31.79/8.68 | (650) all_0_239_239 = e22 | all_0_243_243 = e22
% 31.79/8.68 |
% 31.79/8.68 +-Applying beta-rule and splitting (324), into two cases.
% 31.79/8.68 |-Branch one:
% 31.79/8.68 | (656) all_0_236_236 = e20
% 31.79/8.68 |
% 31.79/8.68 | Combining equations (656,577) yields a new equation:
% 31.79/8.68 | (664) e21 = e20
% 31.79/8.68 |
% 31.79/8.68 | Equations (664) can reduce 401 to:
% 31.79/8.68 | (537) $false
% 31.79/8.68 |
% 31.79/8.68 |-The branch is then unsatisfiable
% 31.79/8.68 |-Branch two:
% 31.79/8.68 | (660) ~ (all_0_236_236 = e20)
% 31.79/8.68 | (661) all_0_240_240 = e20 | all_0_244_244 = e20
% 31.79/8.68 |
% 31.79/8.68 +-Applying beta-rule and splitting (650), into two cases.
% 31.79/8.68 |-Branch one:
% 31.79/8.68 | (6372) all_0_239_239 = e22
% 31.79/8.68 |
% 31.79/8.68 | Equations (6372) can reduce 6378 to:
% 31.79/8.68 | (294) ~ (e22 = e20)
% 31.79/8.68 |
% 31.79/8.68 | From (6372)(6372) and (309) follows:
% 31.79/8.68 | (6666) op2(e22, e22) = all_0_37_37
% 31.79/8.68 |
% 31.79/8.68 | From (6372) and (292) follows:
% 31.79/8.68 | (6667) op2(e22, e22) = all_0_146_146
% 31.79/8.68 |
% 31.79/8.68 | From (6372) and (130) follows:
% 31.79/8.68 | (6669) op2(e22, e22) = all_0_147_147
% 31.79/8.68 |
% 31.79/8.68 | From (6372) and (256) follows:
% 31.79/8.68 | (6670) op2(e22, e22) = e22
% 31.79/8.68 |
% 31.79/8.68 +-Applying beta-rule and splitting (448), into two cases.
% 31.79/8.68 |-Branch one:
% 31.79/8.68 | (633) all_0_235_235 = e23
% 31.79/8.68 |
% 31.79/8.68 | Combining equations (633,7056) yields a new equation:
% 31.79/8.68 | (6763) all_0_133_133 = e23
% 31.79/8.68 |
% 31.79/8.68 +-Applying beta-rule and splitting (661), into two cases.
% 31.79/8.68 |-Branch one:
% 31.79/8.68 | (662) all_0_240_240 = e20
% 31.79/8.68 |
% 31.79/8.68 | Equations (662) can reduce 186 to:
% 31.79/8.68 | (10555) ~ (all_0_241_241 = e20)
% 31.79/8.68 |
% 31.79/8.68 | Simplifying 10555 yields:
% 31.79/8.68 | (6294) ~ (all_0_241_241 = e20)
% 31.79/8.68 |
% 31.79/8.68 | Equations (662) can reduce 6938 to:
% 31.79/8.68 | (654) ~ (e21 = e20)
% 31.79/8.68 |
% 31.79/8.68 | Simplifying 654 yields:
% 31.79/8.68 | (401) ~ (e21 = e20)
% 31.79/8.68 |
% 31.79/8.68 | From (662) and (333) follows:
% 31.79/8.68 | (10559) op2(e21, e20) = all_0_115_115
% 31.79/8.68 |
% 31.79/8.68 +-Applying beta-rule and splitting (452), into two cases.
% 31.79/8.68 |-Branch one:
% 31.79/8.68 | (675) all_0_237_237 = e20
% 31.79/8.68 |
% 31.79/8.68 | Equations (675) can reduce 245 to:
% 31.79/8.68 | (10555) ~ (all_0_241_241 = e20)
% 31.79/8.68 |
% 31.79/8.68 | Simplifying 10555 yields:
% 31.79/8.68 | (6294) ~ (all_0_241_241 = e20)
% 31.79/8.68 |
% 31.79/8.68 | From (675) and (175) follows:
% 31.79/8.68 | (10182) op2(e21, e20) = all_0_106_106
% 31.81/8.68 |
% 31.81/8.68 +-Applying beta-rule and splitting (588), into two cases.
% 31.81/8.68 |-Branch one:
% 31.81/8.68 | (682) all_0_241_241 = e23
% 31.81/8.68 |
% 31.81/8.68 | Equations (682) can reduce 527 to:
% 31.81/8.68 | (215) ~ (e23 = e21)
% 31.81/8.68 |
% 31.81/8.68 | Instantiating formula (340) with e22, e22, all_0_64_64, all_0_37_37 and discharging atoms op2(e22, e22) = all_0_37_37, op2(e22, e22) = all_0_64_64, yields:
% 31.81/8.68 | (6719) all_0_37_37 = all_0_64_64
% 31.81/8.68 |
% 31.81/8.68 | Instantiating formula (340) with e22, e22, all_0_127_127, all_0_64_64 and discharging atoms op2(e22, e22) = all_0_64_64, op2(e22, e22) = all_0_127_127, yields:
% 31.81/8.68 | (7727) all_0_64_64 = all_0_127_127
% 31.81/8.68 |
% 31.81/8.68 | Instantiating formula (340) with e22, e22, all_0_146_146, all_0_127_127 and discharging atoms op2(e22, e22) = all_0_127_127, op2(e22, e22) = all_0_146_146, yields:
% 31.81/8.68 | (6734) all_0_127_127 = all_0_146_146
% 31.81/8.68 |
% 31.81/8.68 | Instantiating formula (340) with e22, e22, all_0_147_147, all_0_146_146 and discharging atoms op2(e22, e22) = all_0_146_146, op2(e22, e22) = all_0_147_147, yields:
% 31.81/8.68 | (6741) all_0_146_146 = all_0_147_147
% 31.81/8.68 |
% 31.81/8.68 | Instantiating formula (340) with e22, e22, e22, all_0_37_37 and discharging atoms op2(e22, e22) = all_0_37_37, op2(e22, e22) = e22, yields:
% 31.81/8.69 | (9315) all_0_37_37 = e22
% 31.81/8.69 |
% 31.81/8.69 | Instantiating formula (340) with e21, e20, all_0_115_115, e21 and discharging atoms op2(e21, e20) = all_0_115_115, op2(e21, e20) = e21, yields:
% 31.81/8.69 | (10571) all_0_115_115 = e21
% 31.81/8.69 |
% 31.81/8.69 | Instantiating formula (340) with e21, e20, all_0_115_115, all_0_106_106 and discharging atoms op2(e21, e20) = all_0_106_106, op2(e21, e20) = all_0_115_115, yields:
% 31.81/8.69 | (10572) all_0_106_106 = all_0_115_115
% 31.81/8.69 |
% 31.81/8.69 | Instantiating formula (340) with e21, e20, all_0_159_159, all_0_106_106 and discharging atoms op2(e21, e20) = all_0_106_106, op2(e21, e20) = all_0_159_159, yields:
% 31.81/8.69 | (10573) all_0_106_106 = all_0_159_159
% 31.81/8.69 |
% 31.81/8.69 | Combining equations (6719,9315) yields a new equation:
% 31.81/8.69 | (10574) all_0_64_64 = e22
% 31.81/8.69 |
% 31.81/8.69 | Simplifying 10574 yields:
% 31.81/8.69 | (10575) all_0_64_64 = e22
% 31.81/8.69 |
% 31.81/8.69 | Combining equations (7727,10575) yields a new equation:
% 31.81/8.69 | (10576) all_0_127_127 = e22
% 31.81/8.69 |
% 31.81/8.69 | Simplifying 10576 yields:
% 31.81/8.69 | (6733) all_0_127_127 = e22
% 31.81/8.69 |
% 31.81/8.69 | Combining equations (10572,10573) yields a new equation:
% 31.81/8.69 | (10578) all_0_115_115 = all_0_159_159
% 31.81/8.69 |
% 31.81/8.69 | Simplifying 10578 yields:
% 31.81/8.69 | (10115) all_0_115_115 = all_0_159_159
% 31.81/8.69 |
% 31.81/8.69 | Combining equations (10571,10115) yields a new equation:
% 31.81/8.69 | (10580) all_0_159_159 = e21
% 31.81/8.69 |
% 31.81/8.69 | Combining equations (6734,6733) yields a new equation:
% 31.81/8.69 | (6754) all_0_146_146 = e22
% 31.81/8.69 |
% 31.81/8.69 | Simplifying 6754 yields:
% 31.81/8.69 | (6755) all_0_146_146 = e22
% 31.81/8.69 |
% 31.81/8.69 | Combining equations (6755,6741) yields a new equation:
% 31.81/8.69 | (6762) all_0_147_147 = e22
% 31.81/8.69 |
% 31.81/8.69 | Combining equations (10580,10115) yields a new equation:
% 31.81/8.69 | (10571) all_0_115_115 = e21
% 31.81/8.69 |
% 31.81/8.69 | Combining equations (10580,10573) yields a new equation:
% 31.81/8.69 | (10194) all_0_106_106 = e21
% 31.81/8.69 |
% 31.81/8.69 +-Applying beta-rule and splitting (338), into two cases.
% 31.81/8.69 |-Branch one:
% 31.81/8.69 | (6766) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)) | (all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21)) | (all_0_245_245 = e23 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e20) & ~ (all_0_164_164 = e21)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e20) & ~ (all_0_133_133 = e23)) | ( ~ (all_0_111_111 = e23) & ~ (all_0_112_112 = e21) & ~ (all_0_113_113 = e20) & ~ (all_0_147_147 = e22)) | ( ~ (all_0_126_126 = e23) & ~ (all_0_127_127 = e22) & ~ (all_0_128_128 = e20) & ~ (all_0_161_161 = e21))
% 31.81/8.69 |
% 31.81/8.69 +-Applying beta-rule and splitting (6766), into two cases.
% 31.81/8.69 |-Branch one:
% 31.81/8.69 | (6767) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)) | (all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21)) | (all_0_245_245 = e23 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e20) & ~ (all_0_164_164 = e21)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e20) & ~ (all_0_133_133 = e23)) | ( ~ (all_0_111_111 = e23) & ~ (all_0_112_112 = e21) & ~ (all_0_113_113 = e20) & ~ (all_0_147_147 = e22))
% 31.81/8.70 |
% 31.81/8.70 +-Applying beta-rule and splitting (6767), into two cases.
% 31.81/8.70 |-Branch one:
% 31.81/8.70 | (6768) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)) | (all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21)) | (all_0_245_245 = e23 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e20) & ~ (all_0_164_164 = e21)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e20) & ~ (all_0_133_133 = e23))
% 31.81/8.70 |
% 31.81/8.70 +-Applying beta-rule and splitting (6768), into two cases.
% 31.81/8.70 |-Branch one:
% 31.81/8.70 | (6769) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)) | (all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21)) | (all_0_245_245 = e23 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e20) & ~ (all_0_164_164 = e21))
% 31.81/8.70 |
% 31.81/8.70 +-Applying beta-rule and splitting (6769), into two cases.
% 31.81/8.70 |-Branch one:
% 31.81/8.70 | (6770) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)) | (all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21))
% 31.81/8.70 |
% 31.81/8.70 +-Applying beta-rule and splitting (6770), into two cases.
% 31.81/8.70 |-Branch one:
% 31.81/8.70 | (6771) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22))
% 31.81/8.70 |
% 31.81/8.70 +-Applying beta-rule and splitting (6771), into two cases.
% 31.81/8.70 |-Branch one:
% 31.81/8.70 | (6772) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21))
% 31.81/8.70 |
% 31.81/8.70 +-Applying beta-rule and splitting (6772), into two cases.
% 31.81/8.70 |-Branch one:
% 31.81/8.70 | (6773) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22))
% 31.81/8.70 |
% 31.81/8.70 +-Applying beta-rule and splitting (6773), into two cases.
% 31.81/8.70 |-Branch one:
% 31.81/8.70 | (6774) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21))
% 31.81/8.70 |
% 31.81/8.70 +-Applying beta-rule and splitting (6774), into two cases.
% 31.81/8.70 |-Branch one:
% 31.81/8.70 | (6775) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23))
% 31.81/8.70 |
% 31.81/8.70 +-Applying beta-rule and splitting (6775), into two cases.
% 31.81/8.70 |-Branch one:
% 31.81/8.70 | (6776) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21))
% 31.81/8.70 |
% 31.81/8.70 +-Applying beta-rule and splitting (6776), into two cases.
% 31.81/8.70 |-Branch one:
% 31.81/8.70 | (6777) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23))
% 31.81/8.70 |
% 31.81/8.70 +-Applying beta-rule and splitting (6777), into two cases.
% 31.81/8.70 |-Branch one:
% 31.81/8.70 | (6778) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22))
% 31.81/8.70 |
% 31.81/8.70 +-Applying beta-rule and splitting (6778), into two cases.
% 31.81/8.70 |-Branch one:
% 31.81/8.70 | (6779) all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)
% 31.81/8.70 |
% 31.81/8.70 | Applying alpha-rule on (6779) yields:
% 31.81/8.70 | (6780) ~ (all_0_100_100 = e21)
% 31.81/8.70 | (6781) ~ (all_0_136_136 = e23)
% 31.81/8.70 | (6782) ~ (all_0_101_101 = e20)
% 31.81/8.70 | (6783) ~ (all_0_99_99 = e22)
% 31.81/8.70 | (6784) all_0_235_235 = all_0_238_238
% 31.81/8.70 |
% 31.81/8.70 | Combining equations (633,6784) yields a new equation:
% 31.81/8.70 | (637) all_0_238_238 = e23
% 31.81/8.70 |
% 31.81/8.70 | Combining equations (536,637) yields a new equation:
% 31.81/8.70 | (590) e23 = e21
% 31.81/8.70 |
% 31.81/8.70 | Equations (590) can reduce 215 to:
% 31.81/8.70 | (537) $false
% 31.81/8.70 |
% 31.81/8.70 |-The branch is then unsatisfiable
% 31.81/8.70 |-Branch two:
% 31.81/8.70 | (6786) all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)
% 31.81/8.70 |
% 31.81/8.70 | Applying alpha-rule on (6786) yields:
% 31.81/8.70 | (6787) ~ (all_0_109_109 = e21)
% 31.81/8.70 | (6788) ~ (all_0_145_145 = e22)
% 31.81/8.70 | (6789) ~ (all_0_110_110 = e20)
% 31.81/8.70 | (6790) ~ (all_0_108_108 = e23)
% 31.81/8.70 | (6784) all_0_235_235 = all_0_238_238
% 31.81/8.70 |
% 31.81/8.70 | Combining equations (633,6784) yields a new equation:
% 31.81/8.70 | (637) all_0_238_238 = e23
% 31.81/8.70 |
% 31.81/8.70 | Combining equations (536,637) yields a new equation:
% 31.81/8.70 | (590) e23 = e21
% 31.81/8.70 |
% 31.81/8.70 | Equations (590) can reduce 215 to:
% 31.81/8.70 | (537) $false
% 31.81/8.70 |
% 31.81/8.70 |-The branch is then unsatisfiable
% 31.81/8.70 |-Branch two:
% 31.81/8.70 | (6793) all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)
% 31.81/8.70 |
% 31.81/8.70 | Applying alpha-rule on (6793) yields:
% 31.81/8.70 | (6794) all_0_236_236 = all_0_242_242
% 31.81/8.71 | (6795) ~ (all_0_139_139 = e23)
% 31.81/8.71 | (6796) ~ (all_0_103_103 = e21)
% 31.81/8.71 | (6797) ~ (all_0_102_102 = e22)
% 31.81/8.71 | (6798) ~ (all_0_104_104 = e20)
% 31.81/8.71 |
% 31.81/8.71 | Combining equations (6794,577) yields a new equation:
% 31.81/8.71 | (10623) all_0_242_242 = e21
% 31.81/8.71 |
% 31.81/8.71 | Simplifying 10623 yields:
% 31.81/8.71 | (500) all_0_242_242 = e21
% 31.81/8.71 |
% 31.81/8.71 | Combining equations (596,500) yields a new equation:
% 31.81/8.71 | (597) e23 = e21
% 31.81/8.71 |
% 31.81/8.71 | Simplifying 597 yields:
% 31.81/8.71 | (590) e23 = e21
% 31.81/8.71 |
% 31.81/8.71 | Equations (590) can reduce 215 to:
% 31.81/8.71 | (537) $false
% 31.81/8.71 |
% 31.81/8.71 |-The branch is then unsatisfiable
% 31.81/8.71 |-Branch two:
% 31.81/8.71 | (6803) all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)
% 31.81/8.71 |
% 31.81/8.71 | Applying alpha-rule on (6803) yields:
% 31.81/8.71 | (6804) ~ (all_0_122_122 = e20)
% 31.81/8.71 | (6805) ~ (all_0_121_121 = e22)
% 31.81/8.71 | (6794) all_0_236_236 = all_0_242_242
% 31.81/8.71 | (6807) ~ (all_0_156_156 = e21)
% 31.81/8.71 | (6808) ~ (all_0_120_120 = e23)
% 31.81/8.71 |
% 31.81/8.71 | Combining equations (6794,577) yields a new equation:
% 31.81/8.71 | (10623) all_0_242_242 = e21
% 31.81/8.71 |
% 31.81/8.71 | Simplifying 10623 yields:
% 31.81/8.71 | (500) all_0_242_242 = e21
% 31.81/8.71 |
% 31.81/8.71 | Combining equations (596,500) yields a new equation:
% 31.81/8.71 | (597) e23 = e21
% 31.81/8.71 |
% 31.81/8.71 | Simplifying 597 yields:
% 31.81/8.71 | (590) e23 = e21
% 31.81/8.71 |
% 31.81/8.71 | Equations (590) can reduce 215 to:
% 31.81/8.71 | (537) $false
% 31.81/8.71 |
% 31.81/8.71 |-The branch is then unsatisfiable
% 31.81/8.71 |-Branch two:
% 31.81/8.71 | (6813) all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)
% 31.81/8.71 |
% 31.81/8.71 | Applying alpha-rule on (6813) yields:
% 31.81/8.71 | (675) all_0_237_237 = e20
% 31.81/8.71 | (6815) ~ (all_0_142_142 = e23)
% 31.81/8.71 | (6816) ~ (all_0_106_106 = e21)
% 31.81/8.71 | (6817) ~ (all_0_107_107 = e20)
% 31.81/8.71 | (6818) ~ (all_0_105_105 = e22)
% 31.81/8.71 |
% 31.81/8.71 | Equations (10194) can reduce 6816 to:
% 31.81/8.71 | (537) $false
% 31.81/8.71 |
% 31.81/8.71 |-The branch is then unsatisfiable
% 31.81/8.71 |-Branch two:
% 31.81/8.71 | (6821) all_0_237_237 = e20 & ~ (all_0_245_245 = e21)
% 31.81/8.71 |
% 31.81/8.71 | Applying alpha-rule on (6821) yields:
% 31.81/8.71 | (675) all_0_237_237 = e20
% 31.81/8.71 | (506) ~ (all_0_245_245 = e21)
% 31.81/8.71 |
% 31.81/8.71 | Equations (569) can reduce 506 to:
% 31.81/8.71 | (537) $false
% 31.81/8.71 |
% 31.81/8.71 |-The branch is then unsatisfiable
% 31.81/8.71 |-Branch two:
% 31.81/8.71 | (6826) all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)
% 31.81/8.71 |
% 31.81/8.71 | Applying alpha-rule on (6826) yields:
% 31.81/8.71 | (6827) ~ (all_0_150_150 = e22)
% 31.81/8.71 | (6828) ~ (all_0_115_115 = e21)
% 31.81/8.71 | (6829) ~ (all_0_114_114 = e23)
% 31.81/8.71 | (6830) all_0_240_240 = all_0_243_243
% 31.81/8.71 | (6831) ~ (all_0_116_116 = e20)
% 31.81/8.71 |
% 31.84/8.71 | Equations (10571) can reduce 6828 to:
% 31.84/8.71 | (537) $false
% 31.84/8.71 |
% 31.84/8.71 |-The branch is then unsatisfiable
% 31.84/8.71 |-Branch two:
% 31.84/8.71 | (6836) all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)
% 31.84/8.71 |
% 31.84/8.71 | Applying alpha-rule on (6836) yields:
% 31.84/8.71 | (6837) ~ (all_0_123_123 = e23)
% 31.84/8.72 | (6830) all_0_240_240 = all_0_243_243
% 31.84/8.72 | (6839) ~ (all_0_159_159 = e21)
% 31.84/8.72 | (6840) ~ (all_0_124_124 = e22)
% 31.84/8.72 | (6841) ~ (all_0_125_125 = e20)
% 31.84/8.72 |
% 31.84/8.72 | Equations (10580) can reduce 6839 to:
% 31.84/8.72 | (537) $false
% 31.84/8.72 |
% 31.84/8.72 |-The branch is then unsatisfiable
% 31.84/8.72 |-Branch two:
% 31.84/8.72 | (6846) all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)
% 31.84/8.72 |
% 31.84/8.72 | Applying alpha-rule on (6846) yields:
% 31.84/8.72 | (6847) ~ (all_0_119_119 = e20)
% 31.84/8.72 | (6848) ~ (all_0_117_117 = e23)
% 31.84/8.72 | (585) all_0_241_241 = e21
% 31.84/8.72 | (6850) ~ (all_0_153_153 = e22)
% 31.84/8.72 | (6851) ~ (all_0_118_118 = e21)
% 31.84/8.72 |
% 31.84/8.72 | Combining equations (682,585) yields a new equation:
% 31.84/8.72 | (597) e23 = e21
% 31.84/8.72 |
% 31.84/8.72 | Simplifying 597 yields:
% 31.84/8.72 | (590) e23 = e21
% 31.84/8.72 |
% 31.84/8.72 | Equations (590) can reduce 215 to:
% 31.84/8.72 | (537) $false
% 31.84/8.72 |
% 31.84/8.72 |-The branch is then unsatisfiable
% 31.84/8.72 |-Branch two:
% 31.84/8.72 | (6854) all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21)
% 31.84/8.72 |
% 31.84/8.72 | Applying alpha-rule on (6854) yields:
% 31.84/8.72 | (585) all_0_241_241 = e21
% 31.84/8.72 | (6338) ~ (all_0_240_240 = e22)
% 31.84/8.72 | (547) ~ (all_0_244_244 = e21)
% 31.84/8.72 |
% 31.84/8.72 | Combining equations (682,585) yields a new equation:
% 31.84/8.72 | (597) e23 = e21
% 31.84/8.72 |
% 31.84/8.72 | Simplifying 597 yields:
% 31.84/8.72 | (590) e23 = e21
% 31.84/8.72 |
% 31.84/8.72 | Equations (590) can reduce 215 to:
% 31.84/8.72 | (537) $false
% 31.84/8.72 |
% 31.84/8.72 |-The branch is then unsatisfiable
% 31.84/8.72 |-Branch two:
% 31.84/8.72 | (6860) all_0_245_245 = e23 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e20) & ~ (all_0_164_164 = e21)
% 31.84/8.72 |
% 31.84/8.72 | Applying alpha-rule on (6860) yields:
% 31.84/8.72 | (6861) ~ (all_0_164_164 = e21)
% 31.84/8.72 | (6862) ~ (all_0_129_129 = e23)
% 31.84/8.72 | (6863) ~ (all_0_131_131 = e20)
% 31.84/8.72 | (6864) ~ (all_0_130_130 = e22)
% 31.84/8.72 | (687) all_0_245_245 = e23
% 31.84/8.72 |
% 31.84/8.72 | Combining equations (569,687) yields a new equation:
% 31.84/8.72 | (590) e23 = e21
% 31.84/8.72 |
% 31.84/8.72 | Equations (590) can reduce 215 to:
% 31.84/8.72 | (537) $false
% 31.84/8.72 |
% 31.84/8.72 |-The branch is then unsatisfiable
% 31.84/8.72 |-Branch two:
% 31.84/8.72 | (6867) ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e20) & ~ (all_0_133_133 = e23)
% 31.84/8.72 |
% 31.84/8.72 | Applying alpha-rule on (6867) yields:
% 31.84/8.72 | (6868) ~ (all_0_96_96 = e22)
% 31.84/8.72 | (6869) ~ (all_0_97_97 = e21)
% 31.84/8.72 | (6870) ~ (all_0_98_98 = e20)
% 31.84/8.72 | (6871) ~ (all_0_133_133 = e23)
% 31.84/8.72 |
% 31.84/8.72 | Equations (6763) can reduce 6871 to:
% 31.84/8.72 | (537) $false
% 31.84/8.72 |
% 31.84/8.72 |-The branch is then unsatisfiable
% 31.84/8.72 |-Branch two:
% 31.84/8.72 | (6873) ~ (all_0_111_111 = e23) & ~ (all_0_112_112 = e21) & ~ (all_0_113_113 = e20) & ~ (all_0_147_147 = e22)
% 31.84/8.72 |
% 31.84/8.72 | Applying alpha-rule on (6873) yields:
% 31.84/8.72 | (6874) ~ (all_0_111_111 = e23)
% 31.84/8.72 | (6875) ~ (all_0_112_112 = e21)
% 31.84/8.72 | (6876) ~ (all_0_113_113 = e20)
% 31.84/8.72 | (6877) ~ (all_0_147_147 = e22)
% 31.84/8.72 |
% 31.84/8.72 | Equations (6762) can reduce 6877 to:
% 31.84/8.72 | (537) $false
% 31.84/8.72 |
% 31.84/8.72 |-The branch is then unsatisfiable
% 31.84/8.72 |-Branch two:
% 31.84/8.72 | (6879) ~ (all_0_126_126 = e23) & ~ (all_0_127_127 = e22) & ~ (all_0_128_128 = e20) & ~ (all_0_161_161 = e21)
% 31.84/8.72 |
% 31.84/8.73 | Applying alpha-rule on (6879) yields:
% 31.84/8.73 | (6880) ~ (all_0_126_126 = e23)
% 31.84/8.73 | (6881) ~ (all_0_127_127 = e22)
% 31.84/8.73 | (6882) ~ (all_0_128_128 = e20)
% 31.84/8.73 | (6883) ~ (all_0_161_161 = e21)
% 31.84/8.73 |
% 31.84/8.73 | Equations (6733) can reduce 6881 to:
% 31.84/8.73 | (537) $false
% 31.84/8.73 |
% 31.84/8.73 |-The branch is then unsatisfiable
% 31.84/8.73 |-Branch two:
% 31.84/8.73 | (6885) ~ (all_0_235_235 = e23) & ~ (all_0_239_239 = e22)
% 31.84/8.73 |
% 31.84/8.73 | Applying alpha-rule on (6885) yields:
% 31.84/8.73 | (606) ~ (all_0_235_235 = e23)
% 31.84/8.73 | (6318) ~ (all_0_239_239 = e22)
% 31.84/8.73 |
% 31.84/8.73 | Equations (6372) can reduce 6318 to:
% 31.84/8.73 | (537) $false
% 31.84/8.73 |
% 31.84/8.73 |-The branch is then unsatisfiable
% 31.84/8.73 |-Branch two:
% 31.84/8.73 | (686) ~ (all_0_241_241 = e23)
% 31.84/8.73 | (681) all_0_241_241 = e20
% 31.84/8.73 |
% 31.84/8.73 | Equations (681) can reduce 6294 to:
% 31.84/8.73 | (537) $false
% 31.84/8.73 |
% 31.84/8.73 |-The branch is then unsatisfiable
% 31.84/8.73 |-Branch two:
% 31.84/8.73 | (679) ~ (all_0_237_237 = e20)
% 31.84/8.73 | (680) all_0_241_241 = e20 | all_0_245_245 = e20
% 31.84/8.73 |
% 31.84/8.73 +-Applying beta-rule and splitting (588), into two cases.
% 31.84/8.73 |-Branch one:
% 31.84/8.73 | (682) all_0_241_241 = e23
% 31.84/8.73 |
% 31.84/8.73 | Equations (682) can reduce 6294 to:
% 31.84/8.73 | (14) ~ (e23 = e20)
% 31.84/8.73 |
% 31.84/8.73 +-Applying beta-rule and splitting (157), into two cases.
% 31.84/8.73 |-Branch one:
% 31.84/8.73 | (651) all_0_235_235 = e20
% 31.84/8.73 |
% 31.84/8.73 | Combining equations (633,651) yields a new equation:
% 31.84/8.73 | (683) e23 = e20
% 31.84/8.73 |
% 31.84/8.73 | Simplifying 683 yields:
% 31.84/8.73 | (684) e23 = e20
% 31.84/8.73 |
% 31.84/8.73 | Equations (684) can reduce 14 to:
% 31.84/8.73 | (537) $false
% 31.84/8.73 |
% 31.84/8.73 |-The branch is then unsatisfiable
% 31.84/8.73 |-Branch two:
% 31.84/8.73 | (6297) ~ (all_0_235_235 = e20)
% 31.84/8.73 | (6298) all_0_236_236 = e20 | all_0_237_237 = e20
% 31.84/8.73 |
% 31.84/8.73 +-Applying beta-rule and splitting (6298), into two cases.
% 31.84/8.73 |-Branch one:
% 31.84/8.73 | (656) all_0_236_236 = e20
% 31.84/8.73 |
% 31.84/8.73 | Combining equations (577,656) yields a new equation:
% 31.84/8.73 | (663) e21 = e20
% 31.84/8.73 |
% 31.84/8.73 | Simplifying 663 yields:
% 31.84/8.73 | (664) e21 = e20
% 31.84/8.73 |
% 31.84/8.73 | Equations (664) can reduce 401 to:
% 31.84/8.73 | (537) $false
% 31.84/8.73 |
% 31.84/8.73 |-The branch is then unsatisfiable
% 31.84/8.73 |-Branch two:
% 31.84/8.73 | (660) ~ (all_0_236_236 = e20)
% 31.84/8.73 | (675) all_0_237_237 = e20
% 31.84/8.73 |
% 31.84/8.73 | Equations (675) can reduce 679 to:
% 31.84/8.73 | (537) $false
% 31.84/8.73 |
% 31.84/8.73 |-The branch is then unsatisfiable
% 31.84/8.73 |-Branch two:
% 31.84/8.73 | (686) ~ (all_0_241_241 = e23)
% 31.84/8.73 | (681) all_0_241_241 = e20
% 31.84/8.73 |
% 31.84/8.73 | Equations (681) can reduce 6294 to:
% 31.84/8.73 | (537) $false
% 31.84/8.73 |
% 31.84/8.73 |-The branch is then unsatisfiable
% 31.84/8.73 |-Branch two:
% 31.84/8.73 | (666) ~ (all_0_240_240 = e20)
% 31.84/8.73 | (667) all_0_244_244 = e20
% 31.84/8.73 |
% 31.84/8.73 | Combining equations (6339,667) yields a new equation:
% 31.84/8.73 | (657) e22 = e20
% 31.84/8.73 |
% 31.84/8.73 | Simplifying 657 yields:
% 31.84/8.73 | (658) e22 = e20
% 31.84/8.73 |
% 31.84/8.73 | Equations (658) can reduce 294 to:
% 31.84/8.73 | (537) $false
% 31.84/8.73 |
% 31.84/8.73 |-The branch is then unsatisfiable
% 31.84/8.73 |-Branch two:
% 31.84/8.73 | (606) ~ (all_0_235_235 = e23)
% 31.84/8.73 | (636) all_0_239_239 = e23 | all_0_243_243 = e23
% 31.84/8.73 |
% 31.84/8.73 +-Applying beta-rule and splitting (430), into two cases.
% 31.84/8.73 |-Branch one:
% 31.84/8.73 | (604) all_0_234_234 = e23
% 31.84/8.73 |
% 31.84/8.73 | Combining equations (6310,604) yields a new equation:
% 31.84/8.73 | (639) e23 = e22
% 31.84/8.73 |
% 31.84/8.73 | Equations (639) can reduce 449 to:
% 31.84/8.73 | (537) $false
% 31.84/8.73 |
% 31.84/8.73 |-The branch is then unsatisfiable
% 31.84/8.73 |-Branch two:
% 31.84/8.73 | (6625) ~ (all_0_234_234 = e23)
% 31.84/8.73 | (6626) all_0_235_235 = e23 | all_0_237_237 = e23
% 31.84/8.73 |
% 31.84/8.73 | Equations (6310) can reduce 6625 to:
% 31.84/8.73 | (613) ~ (e23 = e22)
% 31.84/8.73 |
% 31.84/8.73 | Simplifying 613 yields:
% 31.84/8.73 | (449) ~ (e23 = e22)
% 31.84/8.73 |
% 31.84/8.73 +-Applying beta-rule and splitting (636), into two cases.
% 31.84/8.73 |-Branch one:
% 31.84/8.73 | (692) all_0_239_239 = e23
% 31.84/8.73 |
% 31.84/8.73 | Combining equations (692,6372) yields a new equation:
% 31.84/8.73 | (638) e23 = e22
% 31.84/8.73 |
% 31.84/8.73 | Simplifying 638 yields:
% 31.84/8.73 | (639) e23 = e22
% 31.84/8.73 |
% 31.84/8.73 | Equations (639) can reduce 449 to:
% 31.84/8.73 | (537) $false
% 31.84/8.73 |
% 31.84/8.73 |-The branch is then unsatisfiable
% 31.84/8.73 |-Branch two:
% 31.84/8.73 | (6283) ~ (all_0_239_239 = e23)
% 31.84/8.73 | (6284) all_0_243_243 = e23
% 31.84/8.73 |
% 31.84/8.73 | Combining equations (6292,6284) yields a new equation:
% 31.84/8.73 | (684) e23 = e20
% 31.84/8.73 |
% 31.84/8.73 | Equations (684) can reduce 14 to:
% 31.84/8.73 | (537) $false
% 31.84/8.73 |
% 31.84/8.73 |-The branch is then unsatisfiable
% 31.84/8.73 |-Branch two:
% 31.84/8.73 | (6318) ~ (all_0_239_239 = e22)
% 31.84/8.73 | (689) all_0_243_243 = e22
% 31.84/8.73 |
% 31.84/8.73 | Combining equations (689,6292) yields a new equation:
% 31.84/8.73 | (657) e22 = e20
% 31.84/8.73 |
% 31.84/8.73 | Simplifying 657 yields:
% 31.84/8.73 | (658) e22 = e20
% 31.84/8.73 |
% 31.84/8.73 | Equations (658) can reduce 294 to:
% 31.84/8.73 | (537) $false
% 31.84/8.73 |
% 31.84/8.73 |-The branch is then unsatisfiable
% 31.84/8.73 |-Branch two:
% 31.84/8.73 | (6314) ~ (all_0_234_234 = e22)
% 31.84/8.73 | (604) all_0_234_234 = e23
% 31.84/8.73 |
% 31.84/8.73 | Equations (604) can reduce 6625 to:
% 31.84/8.73 | (537) $false
% 31.84/8.73 |
% 31.84/8.73 |-The branch is then unsatisfiable
% 31.84/8.73 |-Branch two:
% 31.84/8.73 | (600) ~ (all_0_242_242 = e23)
% 31.84/8.74 | (601) all_0_243_243 = e23 | all_0_245_245 = e23
% 31.84/8.74 |
% 31.84/8.74 +-Applying beta-rule and splitting (601), into two cases.
% 31.84/8.74 |-Branch one:
% 31.84/8.74 | (6284) all_0_243_243 = e23
% 31.84/8.74 |
% 31.84/8.74 | Equations (6284) can reduce 32 to:
% 31.84/8.74 | (6283) ~ (all_0_239_239 = e23)
% 31.84/8.74 |
% 31.84/8.74 | Equations (6284) can reduce 392 to:
% 31.84/8.74 | (600) ~ (all_0_242_242 = e23)
% 31.84/8.74 |
% 31.84/8.74 | Equations (6284) can reduce 74 to:
% 31.84/8.74 | (215) ~ (e23 = e21)
% 31.84/8.74 |
% 31.84/8.74 | From (6284) and (373) follows:
% 31.84/8.74 | (6503) op2(e23, e22) = all_0_157_157
% 31.84/8.74 |
% 31.84/8.74 | From (6284) and (258) follows:
% 31.84/8.74 | (6504) op2(e23, e21) = all_0_158_158
% 31.84/8.74 |
% 31.84/8.74 +-Applying beta-rule and splitting (397), into two cases.
% 31.84/8.74 |-Branch one:
% 31.84/8.74 | (637) all_0_238_238 = e23
% 31.84/8.74 |
% 31.84/8.74 | Combining equations (536,637) yields a new equation:
% 31.84/8.74 | (590) e23 = e21
% 31.84/8.74 |
% 31.84/8.74 | Equations (590) can reduce 215 to:
% 31.84/8.74 | (537) $false
% 31.84/8.74 |
% 31.84/8.74 |-The branch is then unsatisfiable
% 31.84/8.74 |-Branch two:
% 31.84/8.74 | (608) ~ (all_0_238_238 = e23)
% 31.84/8.74 | (642) all_0_239_239 = e23 | all_0_241_241 = e23
% 31.84/8.74 |
% 31.84/8.74 +-Applying beta-rule and splitting (642), into two cases.
% 31.84/8.74 |-Branch one:
% 31.84/8.74 | (692) all_0_239_239 = e23
% 31.84/8.74 |
% 31.84/8.74 | Equations (692) can reduce 6283 to:
% 31.84/8.74 | (537) $false
% 31.84/8.74 |
% 31.84/8.74 |-The branch is then unsatisfiable
% 31.84/8.74 |-Branch two:
% 31.84/8.74 | (6283) ~ (all_0_239_239 = e23)
% 31.84/8.74 | (682) all_0_241_241 = e23
% 31.84/8.74 |
% 31.84/8.74 | Equations (682) can reduce 245 to:
% 31.84/8.74 | (592) ~ (all_0_237_237 = e23)
% 31.84/8.74 |
% 31.84/8.74 | Equations (682) can reduce 186 to:
% 31.84/8.74 | (327) ~ (all_0_240_240 = e23)
% 31.84/8.74 |
% 31.84/8.74 | Equations (682) can reduce 527 to:
% 31.84/8.74 | (215) ~ (e23 = e21)
% 31.84/8.74 |
% 31.84/8.74 | From (682) and (463) follows:
% 31.84/8.74 | (6526) op2(e23, e22) = all_0_152_152
% 31.84/8.74 |
% 31.84/8.74 | From (682) and (172) follows:
% 31.84/8.74 | (10784) op2(e22, e23) = all_0_153_153
% 31.84/8.74 |
% 31.84/8.74 +-Applying beta-rule and splitting (7004), into two cases.
% 31.84/8.74 |-Branch one:
% 31.84/8.74 | (589) all_0_237_237 = e23
% 31.84/8.74 |
% 31.84/8.74 | Equations (589) can reduce 592 to:
% 31.84/8.74 | (537) $false
% 31.84/8.74 |
% 31.84/8.74 |-The branch is then unsatisfiable
% 31.84/8.74 |-Branch two:
% 31.84/8.74 | (592) ~ (all_0_237_237 = e23)
% 31.84/8.74 | (675) all_0_237_237 = e20
% 31.84/8.74 |
% 31.84/8.74 | Equations (675) can reduce 76 to:
% 31.84/8.74 | (11) ~ (all_0_234_234 = e20)
% 31.84/8.74 |
% 31.84/8.74 | Equations (675) can reduce 447 to:
% 31.84/8.74 | (6297) ~ (all_0_235_235 = e20)
% 31.84/8.74 |
% 31.84/8.74 | Equations (675) can reduce 592 to:
% 31.84/8.74 | (671) ~ (e23 = e20)
% 31.84/8.74 |
% 31.84/8.74 | Simplifying 671 yields:
% 31.84/8.74 | (14) ~ (e23 = e20)
% 31.84/8.74 |
% 31.84/8.74 | Equations (675) can reduce 6941 to:
% 31.84/8.74 | (654) ~ (e21 = e20)
% 31.84/8.74 |
% 31.84/8.74 | Simplifying 654 yields:
% 31.84/8.74 | (401) ~ (e21 = e20)
% 31.84/8.74 |
% 31.84/8.74 | From (675) and (4) follows:
% 31.84/8.74 | (7316) op2(e23, e20) = all_0_142_142
% 31.84/8.74 |
% 31.84/8.74 | From (675) and (441) follows:
% 31.84/8.74 | (7317) op2(e23, e20) = e20
% 31.84/8.74 |
% 31.84/8.74 +-Applying beta-rule and splitting (188), into two cases.
% 31.84/8.74 |-Branch one:
% 31.84/8.74 | (6292) all_0_243_243 = e20
% 31.84/8.74 |
% 31.84/8.74 | Combining equations (6292,6284) yields a new equation:
% 31.84/8.74 | (684) e23 = e20
% 31.84/8.74 |
% 31.84/8.74 | Equations (684) can reduce 14 to:
% 31.84/8.74 | (537) $false
% 31.84/8.74 |
% 31.84/8.74 |-The branch is then unsatisfiable
% 31.84/8.74 |-Branch two:
% 31.84/8.74 | (668) ~ (all_0_243_243 = e20)
% 31.84/8.74 | (6491) all_0_244_244 = e20 | all_0_245_245 = e20
% 31.84/8.74 |
% 31.84/8.74 +-Applying beta-rule and splitting (6491), into two cases.
% 31.84/8.74 |-Branch one:
% 31.84/8.74 | (667) all_0_244_244 = e20
% 31.84/8.74 |
% 31.84/8.74 | Combining equations (667,8044) yields a new equation:
% 31.84/8.74 | (8122) all_0_164_164 = e20
% 31.84/8.74 |
% 31.84/8.74 | Equations (667) can reduce 27 to:
% 31.84/8.74 | (266) ~ (all_0_242_242 = e20)
% 31.84/8.74 |
% 31.84/8.74 | From (667) and (197) follows:
% 31.84/8.74 | (10805) op2(e23, e20) = all_0_126_126
% 31.84/8.74 |
% 31.84/8.74 +-Applying beta-rule and splitting (98), into two cases.
% 31.84/8.74 |-Branch one:
% 31.84/8.74 | (604) all_0_234_234 = e23
% 31.84/8.74 |
% 31.84/8.74 | Equations (604) can reduce 466 to:
% 31.84/8.74 | (605) ~ (all_0_235_235 = e23)
% 31.84/8.74 |
% 31.84/8.74 | Simplifying 605 yields:
% 31.84/8.74 | (606) ~ (all_0_235_235 = e23)
% 31.84/8.74 |
% 31.84/8.74 | Equations (604) can reduce 354 to:
% 31.84/8.74 | (9016) ~ (all_0_242_242 = e23)
% 31.84/8.74 |
% 31.84/8.74 | Simplifying 9016 yields:
% 31.84/8.74 | (600) ~ (all_0_242_242 = e23)
% 31.84/8.74 |
% 31.84/8.74 | Equations (604) can reduce 11 to:
% 31.84/8.74 | (14) ~ (e23 = e20)
% 31.84/8.74 |
% 31.84/8.74 +-Applying beta-rule and splitting (234), into two cases.
% 31.84/8.74 |-Branch one:
% 31.84/8.74 | (6389) all_0_239_239 = e20
% 31.84/8.74 |
% 31.84/8.74 | Equations (6389) can reduce 415 to:
% 31.87/8.74 | (6297) ~ (all_0_235_235 = e20)
% 31.87/8.74 |
% 31.87/8.74 | Equations (6389) can reduce 84 to:
% 31.87/8.74 | (7380) ~ (all_0_240_240 = e20)
% 31.87/8.74 |
% 31.87/8.74 | Simplifying 7380 yields:
% 31.87/8.74 | (666) ~ (all_0_240_240 = e20)
% 31.87/8.74 |
% 31.87/8.74 | Equations (6389) can reduce 18 to:
% 31.87/8.74 | (654) ~ (e21 = e20)
% 31.87/8.74 |
% 31.87/8.74 | Simplifying 654 yields:
% 31.87/8.74 | (401) ~ (e21 = e20)
% 31.87/8.74 |
% 31.87/8.74 | From (6389) and (109) follows:
% 31.87/8.74 | (10818) op2(e23, e20) = all_0_111_111
% 31.87/8.74 |
% 31.87/8.74 | From (6389) and (256) follows:
% 31.87/8.74 | (7388) op2(e22, e22) = e20
% 31.87/8.74 |
% 31.87/8.74 +-Applying beta-rule and splitting (6992), into two cases.
% 31.87/8.74 |-Branch one:
% 31.87/8.74 | (6335) all_0_240_240 = e22
% 31.87/8.74 |
% 31.87/8.74 | Equations (6335) can reduce 327 to:
% 31.87/8.74 | (613) ~ (e23 = e22)
% 31.87/8.74 |
% 31.87/8.74 | Simplifying 613 yields:
% 31.87/8.74 | (449) ~ (e23 = e22)
% 31.87/8.74 |
% 31.87/8.75 | Equations (6335) can reduce 666 to:
% 31.87/8.75 | (294) ~ (e22 = e20)
% 31.87/8.75 |
% 31.87/8.75 | From (6335) and (426) follows:
% 31.87/8.75 | (7396) op2(e22, e22) = all_0_149_149
% 31.87/8.75 |
% 31.87/8.75 | From (6335) and (5) follows:
% 31.87/8.75 | (9068) op2(e22, e21) = all_0_148_148
% 31.87/8.75 |
% 31.87/8.75 | From (6335) and (105) follows:
% 31.87/8.75 | (9069) op2(e23, e22) = all_0_114_114
% 31.87/8.75 |
% 31.87/8.75 | From (6335) and (473) follows:
% 31.87/8.75 | (9071) op2(e22, e21) = e22
% 31.87/8.75 |
% 31.87/8.75 +-Applying beta-rule and splitting (64), into two cases.
% 31.87/8.75 |-Branch one:
% 31.87/8.75 | (6310) all_0_234_234 = e22
% 31.87/8.75 |
% 31.87/8.75 | Combining equations (604,6310) yields a new equation:
% 31.87/8.75 | (638) e23 = e22
% 31.87/8.75 |
% 31.87/8.75 | Simplifying 638 yields:
% 31.87/8.75 | (639) e23 = e22
% 31.87/8.75 |
% 31.87/8.75 | Equations (639) can reduce 449 to:
% 31.87/8.75 | (537) $false
% 31.87/8.75 |
% 31.87/8.75 |-The branch is then unsatisfiable
% 31.87/8.75 |-Branch two:
% 31.87/8.75 | (6314) ~ (all_0_234_234 = e22)
% 31.87/8.75 | (6917) all_0_238_238 = e22 | all_0_242_242 = e22
% 31.87/8.75 |
% 31.87/8.75 | Equations (604) can reduce 6314 to:
% 31.87/8.75 | (449) ~ (e23 = e22)
% 31.87/8.75 |
% 31.87/8.75 +-Applying beta-rule and splitting (281), into two cases.
% 31.87/8.75 |-Branch one:
% 31.87/8.75 | (647) all_0_235_235 = e22
% 31.87/8.75 |
% 31.87/8.75 | Equations (647) can reduce 606 to:
% 31.87/8.75 | (613) ~ (e23 = e22)
% 31.87/8.75 |
% 31.87/8.75 | Simplifying 613 yields:
% 31.87/8.75 | (449) ~ (e23 = e22)
% 31.87/8.75 |
% 31.87/8.75 | Equations (647) can reduce 6297 to:
% 31.87/8.75 | (294) ~ (e22 = e20)
% 31.87/8.75 |
% 31.87/8.75 | From (647) and (325) follows:
% 31.87/8.75 | (8997) op2(e22, e23) = all_0_135_135
% 31.87/8.75 |
% 31.87/8.75 | From (647) and (220) follows:
% 31.87/8.75 | (7660) op2(e22, e22) = all_0_134_134
% 31.87/8.75 |
% 31.87/8.75 | From (647) and (313) follows:
% 31.87/8.75 | (6320) op2(e23, e22) = all_0_136_136
% 31.87/8.75 |
% 31.87/8.75 | From (647) and (436) follows:
% 31.87/8.75 | (6321) op2(e23, e22) = e22
% 31.87/8.75 |
% 31.87/8.75 | From (647) and (163) follows:
% 31.87/8.75 | (7663) op2(e22, e22) = all_0_99_99
% 31.87/8.75 |
% 31.87/8.75 +-Applying beta-rule and splitting (254), into two cases.
% 31.87/8.75 |-Branch one:
% 31.87/8.75 | (6322) all_0_242_242 = e22
% 31.87/8.75 |
% 31.87/8.75 | Combining equations (6322,9928) yields a new equation:
% 31.87/8.75 | (7066) all_0_143_143 = e22
% 31.87/8.75 |
% 31.87/8.75 | Combining equations (6322,9976) yields a new equation:
% 31.87/8.75 | (8486) all_0_138_138 = e22
% 31.87/8.75 |
% 31.87/8.75 | Equations (6322) can reduce 600 to:
% 31.87/8.75 | (613) ~ (e23 = e22)
% 31.87/8.75 |
% 31.87/8.75 | Simplifying 613 yields:
% 31.87/8.75 | (449) ~ (e23 = e22)
% 31.87/8.75 |
% 31.87/8.75 | Equations (6322) can reduce 7898 to:
% 31.87/8.75 | (92) ~ (e22 = e21)
% 31.87/8.75 |
% 31.87/8.75 | Equations (6322) can reduce 266 to:
% 31.87/8.75 | (294) ~ (e22 = e20)
% 31.87/8.75 |
% 31.87/8.75 | From (6322) and (97) follows:
% 31.87/8.75 | (8135) op2(e22, e21) = all_0_155_155
% 31.87/8.75 |
% 31.87/8.75 | From (6322) and (165) follows:
% 31.87/8.75 | (9029) op2(e23, e22) = all_0_120_120
% 31.87/8.75 |
% 31.87/8.75 | From (6322) and (135) follows:
% 31.87/8.75 | (9030) op2(e22, e22) = all_0_121_121
% 31.87/8.75 |
% 31.87/8.75 | Instantiating formula (340) with e23, e22, all_0_120_120, all_0_114_114 and discharging atoms op2(e23, e22) = all_0_114_114, op2(e23, e22) = all_0_120_120, yields:
% 31.87/8.75 | (10854) all_0_114_114 = all_0_120_120
% 31.87/8.75 |
% 31.87/8.75 | Instantiating formula (340) with e23, e22, all_0_136_136, all_0_114_114 and discharging atoms op2(e23, e22) = all_0_114_114, op2(e23, e22) = all_0_136_136, yields:
% 31.87/8.75 | (9072) all_0_114_114 = all_0_136_136
% 31.87/8.75 |
% 31.87/8.75 | Instantiating formula (340) with e23, e22, all_0_152_152, all_0_114_114 and discharging atoms op2(e23, e22) = all_0_114_114, op2(e23, e22) = all_0_152_152, yields:
% 31.87/8.75 | (10856) all_0_114_114 = all_0_152_152
% 31.87/8.75 |
% 31.87/8.75 | Instantiating formula (340) with e23, e22, all_0_157_157, all_0_120_120 and discharging atoms op2(e23, e22) = all_0_120_120, op2(e23, e22) = all_0_157_157, yields:
% 31.87/8.75 | (10857) all_0_120_120 = all_0_157_157
% 31.87/8.75 |
% 31.87/8.75 | Instantiating formula (340) with e23, e22, e22, all_0_152_152 and discharging atoms op2(e23, e22) = all_0_152_152, op2(e23, e22) = e22, yields:
% 31.87/8.75 | (6527) all_0_152_152 = e22
% 31.87/8.75 |
% 31.87/8.75 | Instantiating formula (340) with e23, e21, all_0_158_158, e21 and discharging atoms op2(e23, e21) = all_0_158_158, op2(e23, e21) = e21, yields:
% 31.87/8.76 | (7185) all_0_158_158 = e21
% 31.87/8.76 |
% 31.87/8.76 | Instantiating formula (340) with e23, e20, all_0_126_126, all_0_111_111 and discharging atoms op2(e23, e20) = all_0_111_111, op2(e23, e20) = all_0_126_126, yields:
% 31.87/8.76 | (6714) all_0_111_111 = all_0_126_126
% 31.87/8.76 |
% 31.87/8.76 | Instantiating formula (340) with e23, e20, all_0_142_142, all_0_111_111 and discharging atoms op2(e23, e20) = all_0_111_111, op2(e23, e20) = all_0_142_142, yields:
% 31.87/8.76 | (10390) all_0_111_111 = all_0_142_142
% 31.87/8.76 |
% 31.87/8.76 | Instantiating formula (340) with e23, e20, e20, all_0_111_111 and discharging atoms op2(e23, e20) = all_0_111_111, op2(e23, e20) = e20, yields:
% 31.87/8.76 | (10862) all_0_111_111 = e20
% 31.87/8.76 |
% 31.87/8.76 | Instantiating formula (340) with e22, e23, all_0_135_135, e21 and discharging atoms op2(e22, e23) = all_0_135_135, op2(e22, e23) = e21, yields:
% 31.87/8.76 | (8733) all_0_135_135 = e21
% 31.87/8.76 |
% 31.87/8.76 | Instantiating formula (340) with e22, e23, all_0_153_153, all_0_135_135 and discharging atoms op2(e22, e23) = all_0_135_135, op2(e22, e23) = all_0_153_153, yields:
% 31.87/8.76 | (10864) all_0_135_135 = all_0_153_153
% 31.87/8.76 |
% 31.87/8.76 | Instantiating formula (340) with e22, e22, all_0_121_121, all_0_99_99 and discharging atoms op2(e22, e22) = all_0_99_99, op2(e22, e22) = all_0_121_121, yields:
% 31.87/8.76 | (10865) all_0_99_99 = all_0_121_121
% 31.87/8.76 |
% 31.87/8.76 | Instantiating formula (340) with e22, e22, all_0_134_134, all_0_99_99 and discharging atoms op2(e22, e22) = all_0_99_99, op2(e22, e22) = all_0_134_134, yields:
% 31.87/8.76 | (7728) all_0_99_99 = all_0_134_134
% 31.87/8.76 |
% 31.87/8.76 | Instantiating formula (340) with e22, e22, all_0_149_149, all_0_99_99 and discharging atoms op2(e22, e22) = all_0_99_99, op2(e22, e22) = all_0_149_149, yields:
% 31.87/8.76 | (9083) all_0_99_99 = all_0_149_149
% 31.87/8.76 |
% 31.87/8.76 | Instantiating formula (340) with e22, e22, e20, all_0_134_134 and discharging atoms op2(e22, e22) = all_0_134_134, op2(e22, e22) = e20, yields:
% 31.87/8.76 | (10868) all_0_134_134 = e20
% 31.87/8.76 |
% 31.87/8.76 | Instantiating formula (340) with e22, e21, all_0_155_155, all_0_148_148 and discharging atoms op2(e22, e21) = all_0_148_148, op2(e22, e21) = all_0_155_155, yields:
% 31.87/8.76 | (9087) all_0_148_148 = all_0_155_155
% 31.87/8.76 |
% 31.87/8.76 | Instantiating formula (340) with e22, e21, e22, all_0_148_148 and discharging atoms op2(e22, e21) = all_0_148_148, op2(e22, e21) = e22, yields:
% 31.87/8.76 | (9088) all_0_148_148 = e22
% 31.87/8.76 |
% 31.87/8.76 | Combining equations (9083,10865) yields a new equation:
% 31.87/8.76 | (9084) all_0_121_121 = all_0_149_149
% 31.87/8.76 |
% 31.87/8.76 | Combining equations (7728,10865) yields a new equation:
% 31.87/8.76 | (9082) all_0_121_121 = all_0_134_134
% 31.87/8.76 |
% 31.87/8.76 | Combining equations (10862,6714) yields a new equation:
% 31.87/8.76 | (10873) all_0_126_126 = e20
% 31.87/8.76 |
% 31.87/8.76 | Combining equations (10390,6714) yields a new equation:
% 31.87/8.76 | (10874) all_0_126_126 = all_0_142_142
% 31.87/8.76 |
% 31.87/8.76 | Combining equations (10854,9072) yields a new equation:
% 31.87/8.76 | (10875) all_0_120_120 = all_0_136_136
% 31.87/8.76 |
% 31.87/8.76 | Simplifying 10875 yields:
% 31.87/8.76 | (9073) all_0_120_120 = all_0_136_136
% 31.87/8.76 |
% 31.87/8.76 | Combining equations (10856,9072) yields a new equation:
% 31.87/8.76 | (10877) all_0_136_136 = all_0_152_152
% 31.87/8.76 |
% 31.87/8.76 | Combining equations (9073,10857) yields a new equation:
% 31.87/8.76 | (9096) all_0_136_136 = all_0_157_157
% 31.87/8.76 |
% 31.87/8.77 | Simplifying 9096 yields:
% 31.87/8.77 | (9097) all_0_136_136 = all_0_157_157
% 31.87/8.77 |
% 31.87/8.77 | Combining equations (9082,9084) yields a new equation:
% 31.87/8.77 | (10880) all_0_134_134 = all_0_149_149
% 31.87/8.77 |
% 31.87/8.77 | Simplifying 10880 yields:
% 31.87/8.77 | (9101) all_0_134_134 = all_0_149_149
% 31.87/8.77 |
% 31.87/8.77 | Combining equations (10874,10873) yields a new equation:
% 31.87/8.77 | (7749) all_0_142_142 = e20
% 31.87/8.77 |
% 31.87/8.77 | Simplifying 7749 yields:
% 31.87/8.77 | (7339) all_0_142_142 = e20
% 31.87/8.77 |
% 31.87/8.77 | Combining equations (10868,9101) yields a new equation:
% 31.87/8.77 | (6377) all_0_149_149 = e20
% 31.87/8.77 |
% 31.87/8.77 | Combining equations (8733,10864) yields a new equation:
% 31.87/8.77 | (10885) all_0_153_153 = e21
% 31.87/8.77 |
% 31.87/8.77 | Combining equations (10877,9097) yields a new equation:
% 31.87/8.77 | (10886) all_0_152_152 = all_0_157_157
% 31.87/8.77 |
% 31.87/8.77 | Simplifying 10886 yields:
% 31.87/8.77 | (6417) all_0_152_152 = all_0_157_157
% 31.87/8.77 |
% 31.87/8.77 | Combining equations (9088,9087) yields a new equation:
% 31.87/8.77 | (6340) all_0_155_155 = e22
% 31.87/8.77 |
% 31.87/8.77 | Combining equations (6527,6417) yields a new equation:
% 31.87/8.77 | (6531) all_0_157_157 = e22
% 31.87/8.77 |
% 31.87/8.77 | Combining equations (6531,6417) yields a new equation:
% 31.87/8.77 | (6527) all_0_152_152 = e22
% 31.87/8.77 |
% 31.87/8.77 | Combining equations (10885,10864) yields a new equation:
% 31.87/8.77 | (8733) all_0_135_135 = e21
% 31.87/8.77 |
% 31.87/8.77 +-Applying beta-rule and splitting (69), into two cases.
% 31.87/8.77 |-Branch one:
% 31.87/8.77 | (6421) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)) | (all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20))
% 31.87/8.77 |
% 31.87/8.77 +-Applying beta-rule and splitting (6421), into two cases.
% 31.87/8.77 |-Branch one:
% 31.87/8.77 | (6422) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22))
% 31.87/8.77 |
% 31.87/8.77 +-Applying beta-rule and splitting (6422), into two cases.
% 31.87/8.77 |-Branch one:
% 31.87/8.77 | (6423) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23))
% 31.87/8.77 |
% 31.87/8.77 +-Applying beta-rule and splitting (6423), into two cases.
% 31.87/8.77 |-Branch one:
% 31.87/8.77 | (6424) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20))
% 31.87/8.77 |
% 31.87/8.77 +-Applying beta-rule and splitting (6424), into two cases.
% 31.87/8.77 |-Branch one:
% 31.87/8.77 | (6425) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21))
% 31.87/8.77 |
% 31.87/8.78 +-Applying beta-rule and splitting (6425), into two cases.
% 31.87/8.78 |-Branch one:
% 31.87/8.78 | (6426) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23))
% 31.87/8.78 |
% 31.87/8.78 +-Applying beta-rule and splitting (6426), into two cases.
% 31.87/8.78 |-Branch one:
% 31.87/8.78 | (6427) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20))
% 31.87/8.78 |
% 31.87/8.78 +-Applying beta-rule and splitting (6427), into two cases.
% 31.87/8.78 |-Branch one:
% 31.87/8.78 | (6428) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21))
% 31.87/8.78 |
% 31.87/8.78 +-Applying beta-rule and splitting (6428), into two cases.
% 31.87/8.78 |-Branch one:
% 31.87/8.78 | (6429) all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)
% 31.87/8.78 |
% 31.87/8.78 | Applying alpha-rule on (6429) yields:
% 31.87/8.78 | (6430) all_0_135_135 = e22
% 31.87/8.78 | (6431) ~ (all_0_134_134 = e23)
% 31.87/8.78 | (6432) ~ (all_0_136_136 = e22)
% 31.87/8.78 |
% 31.87/8.78 | Combining equations (8733,6430) yields a new equation:
% 31.87/8.78 | (6323) e22 = e21
% 31.87/8.78 |
% 31.87/8.78 | Equations (6323) can reduce 92 to:
% 31.87/8.78 | (537) $false
% 31.87/8.78 |
% 31.87/8.78 |-The branch is then unsatisfiable
% 31.87/8.78 |-Branch two:
% 31.87/8.78 | (6434) all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)
% 31.87/8.78 |
% 31.87/8.78 | Applying alpha-rule on (6434) yields:
% 31.87/8.78 | (6435) all_0_138_138 = e21
% 31.87/8.78 | (6436) ~ (all_0_137_137 = e23)
% 31.87/8.78 | (6437) ~ (all_0_139_139 = e21)
% 31.87/8.78 |
% 31.87/8.78 | Combining equations (8486,6435) yields a new equation:
% 31.87/8.78 | (6913) e22 = e21
% 31.87/8.78 |
% 31.87/8.78 | Simplifying 6913 yields:
% 31.87/8.78 | (6323) e22 = e21
% 31.87/8.78 |
% 31.87/8.78 | Equations (6323) can reduce 92 to:
% 31.87/8.78 | (537) $false
% 31.87/8.78 |
% 31.87/8.78 |-The branch is then unsatisfiable
% 31.87/8.78 |-Branch two:
% 31.87/8.78 | (6441) all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)
% 31.87/8.78 |
% 31.87/8.78 | Applying alpha-rule on (6441) yields:
% 31.87/8.78 | (6442) all_0_141_141 = e20
% 31.87/8.78 | (6443) ~ (all_0_140_140 = e23)
% 31.87/8.78 | (6444) ~ (all_0_142_142 = e20)
% 31.87/8.78 |
% 31.87/8.78 | Equations (7339) can reduce 6444 to:
% 31.87/8.78 | (537) $false
% 31.87/8.78 |
% 31.87/8.78 |-The branch is then unsatisfiable
% 31.87/8.78 |-Branch two:
% 31.87/8.78 | (6447) all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)
% 31.87/8.78 |
% 31.87/8.78 | Applying alpha-rule on (6447) yields:
% 31.87/8.78 | (6448) all_0_144_144 = e23
% 31.87/8.78 | (6449) ~ (all_0_143_143 = e22)
% 31.87/8.78 | (6450) ~ (all_0_145_145 = e23)
% 31.87/8.78 |
% 31.87/8.78 | Equations (7066) can reduce 6449 to:
% 31.87/8.78 | (537) $false
% 31.87/8.78 |
% 31.87/8.78 |-The branch is then unsatisfiable
% 31.87/8.78 |-Branch two:
% 31.87/8.78 | (6452) all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)
% 31.87/8.78 |
% 31.87/8.78 | Applying alpha-rule on (6452) yields:
% 31.87/8.78 | (6453) all_0_149_149 = e21
% 31.87/8.78 | (6454) ~ (all_0_148_148 = e22)
% 31.87/8.78 | (6455) ~ (all_0_150_150 = e21)
% 31.87/8.78 |
% 31.87/8.78 | Combining equations (6453,6377) yields a new equation:
% 31.87/8.78 | (663) e21 = e20
% 31.87/8.78 |
% 31.87/8.78 | Simplifying 663 yields:
% 31.87/8.78 | (664) e21 = e20
% 31.87/8.78 |
% 31.87/8.78 | Equations (664) can reduce 401 to:
% 31.87/8.78 | (537) $false
% 31.87/8.78 |
% 31.87/8.78 |-The branch is then unsatisfiable
% 31.87/8.78 |-Branch two:
% 31.87/8.78 | (6458) all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)
% 31.87/8.78 |
% 31.87/8.79 | Applying alpha-rule on (6458) yields:
% 31.87/8.79 | (6459) all_0_152_152 = e20
% 31.87/8.79 | (6460) ~ (all_0_151_151 = e22)
% 31.87/8.79 | (6461) ~ (all_0_153_153 = e20)
% 31.87/8.79 |
% 31.87/8.79 | Combining equations (6527,6459) yields a new equation:
% 31.87/8.79 | (657) e22 = e20
% 31.87/8.79 |
% 31.87/8.79 | Simplifying 657 yields:
% 31.87/8.79 | (658) e22 = e20
% 31.87/8.79 |
% 31.87/8.79 | Equations (658) can reduce 294 to:
% 31.87/8.79 | (537) $false
% 31.87/8.79 |
% 31.87/8.79 |-The branch is then unsatisfiable
% 31.87/8.79 |-Branch two:
% 31.87/8.79 | (6465) all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)
% 31.87/8.79 |
% 31.87/8.79 | Applying alpha-rule on (6465) yields:
% 31.87/8.79 | (6466) all_0_155_155 = e23
% 31.87/8.79 | (6467) ~ (all_0_154_154 = e21)
% 31.87/8.79 | (6468) ~ (all_0_156_156 = e23)
% 31.87/8.79 |
% 31.87/8.79 | Combining equations (6340,6466) yields a new equation:
% 31.87/8.79 | (639) e23 = e22
% 31.87/8.79 |
% 31.87/8.79 | Equations (639) can reduce 449 to:
% 31.87/8.79 | (537) $false
% 31.87/8.79 |
% 31.87/8.79 |-The branch is then unsatisfiable
% 31.87/8.79 |-Branch two:
% 31.87/8.79 | (6471) all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)
% 31.87/8.79 |
% 31.87/8.79 | Applying alpha-rule on (6471) yields:
% 31.87/8.79 | (6472) all_0_158_158 = e22
% 31.87/8.79 | (6473) ~ (all_0_157_157 = e21)
% 31.87/8.79 | (6474) ~ (all_0_159_159 = e22)
% 31.87/8.79 |
% 31.87/8.79 | Combining equations (6472,7185) yields a new equation:
% 31.87/8.79 | (6913) e22 = e21
% 31.87/8.79 |
% 31.87/8.79 | Simplifying 6913 yields:
% 31.87/8.79 | (6323) e22 = e21
% 31.87/8.79 |
% 31.87/8.79 | Equations (6323) can reduce 92 to:
% 31.87/8.79 | (537) $false
% 31.87/8.79 |
% 31.87/8.79 |-The branch is then unsatisfiable
% 31.87/8.79 |-Branch two:
% 31.87/8.79 | (6478) all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20)
% 31.87/8.79 |
% 31.87/8.79 | Applying alpha-rule on (6478) yields:
% 31.87/8.79 | (6479) all_0_163_163 = e20
% 31.87/8.79 | (6480) ~ (all_0_162_162 = e21)
% 31.87/8.79 | (6481) ~ (all_0_164_164 = e20)
% 31.87/8.79 |
% 31.87/8.79 | Equations (8122) can reduce 6481 to:
% 31.87/8.79 | (537) $false
% 31.87/8.79 |
% 31.87/8.79 |-The branch is then unsatisfiable
% 31.87/8.79 |-Branch two:
% 31.87/8.79 | (6483) all_0_237_237 = e21 & ~ (all_0_236_236 = e20)
% 31.87/8.79 |
% 31.87/8.79 | Applying alpha-rule on (6483) yields:
% 31.87/8.79 | (523) all_0_237_237 = e21
% 31.87/8.79 | (660) ~ (all_0_236_236 = e20)
% 31.87/8.79 |
% 31.87/8.79 | Combining equations (523,675) yields a new equation:
% 31.87/8.79 | (663) e21 = e20
% 31.87/8.79 |
% 31.87/8.79 | Simplifying 663 yields:
% 31.87/8.79 | (664) e21 = e20
% 31.87/8.79 |
% 31.87/8.79 | Equations (664) can reduce 401 to:
% 31.87/8.79 | (537) $false
% 31.87/8.79 |
% 31.87/8.79 |-The branch is then unsatisfiable
% 31.87/8.79 |-Branch two:
% 31.87/8.79 | (6325) ~ (all_0_242_242 = e22)
% 31.87/8.79 | (6326) all_0_243_243 = e22 | all_0_244_244 = e22
% 31.87/8.79 |
% 31.87/8.79 +-Applying beta-rule and splitting (6326), into two cases.
% 31.87/8.79 |-Branch one:
% 31.87/8.79 | (689) all_0_243_243 = e22
% 31.87/8.79 |
% 31.87/8.79 | Combining equations (6284,689) yields a new equation:
% 31.87/8.79 | (638) e23 = e22
% 31.87/8.79 |
% 31.87/8.79 | Simplifying 638 yields:
% 31.87/8.79 | (639) e23 = e22
% 31.87/8.79 |
% 31.87/8.79 | Equations (639) can reduce 449 to:
% 31.87/8.79 | (537) $false
% 31.87/8.79 |
% 31.87/8.79 |-The branch is then unsatisfiable
% 31.87/8.79 |-Branch two:
% 31.87/8.79 | (6287) ~ (all_0_243_243 = e22)
% 31.87/8.79 | (6339) all_0_244_244 = e22
% 31.87/8.79 |
% 31.87/8.79 | Combining equations (6339,667) yields a new equation:
% 31.87/8.79 | (657) e22 = e20
% 31.87/8.79 |
% 31.87/8.79 | Simplifying 657 yields:
% 31.87/8.79 | (658) e22 = e20
% 31.87/8.79 |
% 31.87/8.79 | Equations (658) can reduce 294 to:
% 31.87/8.79 | (537) $false
% 31.87/8.79 |
% 31.87/8.79 |-The branch is then unsatisfiable
% 31.87/8.79 |-Branch two:
% 31.87/8.79 | (646) ~ (all_0_235_235 = e22)
% 31.87/8.79 | (650) all_0_239_239 = e22 | all_0_243_243 = e22
% 31.87/8.79 |
% 31.87/8.79 +-Applying beta-rule and splitting (650), into two cases.
% 31.87/8.79 |-Branch one:
% 31.87/8.79 | (6372) all_0_239_239 = e22
% 31.87/8.79 |
% 31.87/8.79 | Combining equations (6372,6389) yields a new equation:
% 31.87/8.79 | (657) e22 = e20
% 31.87/8.79 |
% 31.87/8.79 | Simplifying 657 yields:
% 31.87/8.79 | (658) e22 = e20
% 31.87/8.79 |
% 31.87/8.79 | Equations (658) can reduce 294 to:
% 31.87/8.79 | (537) $false
% 31.87/8.79 |
% 31.87/8.79 |-The branch is then unsatisfiable
% 31.87/8.79 |-Branch two:
% 31.87/8.79 | (6318) ~ (all_0_239_239 = e22)
% 31.87/8.79 | (689) all_0_243_243 = e22
% 31.87/8.79 |
% 31.87/8.80 | Combining equations (6284,689) yields a new equation:
% 31.87/8.80 | (638) e23 = e22
% 31.87/8.80 |
% 31.87/8.80 | Simplifying 638 yields:
% 31.87/8.80 | (639) e23 = e22
% 31.87/8.80 |
% 31.87/8.80 | Equations (639) can reduce 449 to:
% 31.87/8.80 | (537) $false
% 31.87/8.80 |
% 31.87/8.80 |-The branch is then unsatisfiable
% 31.87/8.80 |-Branch two:
% 31.87/8.80 | (6338) ~ (all_0_240_240 = e22)
% 31.87/8.80 | (662) all_0_240_240 = e20
% 31.87/8.80 |
% 31.87/8.80 | Equations (662) can reduce 666 to:
% 31.87/8.80 | (537) $false
% 31.87/8.80 |
% 31.87/8.80 |-The branch is then unsatisfiable
% 31.87/8.80 |-Branch two:
% 31.87/8.80 | (6378) ~ (all_0_239_239 = e20)
% 31.87/8.80 | (6392) all_0_240_240 = e20 | all_0_241_241 = e20
% 31.87/8.80 |
% 31.87/8.80 +-Applying beta-rule and splitting (365), into two cases.
% 31.87/8.80 |-Branch one:
% 31.87/8.80 | (651) all_0_235_235 = e20
% 31.87/8.80 |
% 31.87/8.80 | Equations (651) can reduce 6297 to:
% 31.87/8.80 | (537) $false
% 31.87/8.80 |
% 31.87/8.80 |-The branch is then unsatisfiable
% 31.87/8.80 |-Branch two:
% 31.87/8.80 | (6297) ~ (all_0_235_235 = e20)
% 31.87/8.80 | (6497) all_0_239_239 = e20 | all_0_243_243 = e20
% 31.87/8.80 |
% 31.87/8.80 +-Applying beta-rule and splitting (6497), into two cases.
% 31.87/8.80 |-Branch one:
% 31.87/8.80 | (6389) all_0_239_239 = e20
% 31.87/8.80 |
% 31.87/8.80 | Equations (6389) can reduce 6378 to:
% 31.87/8.80 | (537) $false
% 31.87/8.80 |
% 31.87/8.80 |-The branch is then unsatisfiable
% 31.87/8.80 |-Branch two:
% 31.87/8.80 | (6378) ~ (all_0_239_239 = e20)
% 31.87/8.80 | (6292) all_0_243_243 = e20
% 31.87/8.80 |
% 31.87/8.80 | Combining equations (6284,6292) yields a new equation:
% 31.87/8.80 | (683) e23 = e20
% 31.87/8.80 |
% 31.87/8.80 | Simplifying 683 yields:
% 31.87/8.80 | (684) e23 = e20
% 31.87/8.80 |
% 31.87/8.80 | Equations (684) can reduce 14 to:
% 31.87/8.80 | (537) $false
% 31.87/8.80 |
% 31.87/8.80 |-The branch is then unsatisfiable
% 31.87/8.80 |-Branch two:
% 31.87/8.80 | (6625) ~ (all_0_234_234 = e23)
% 31.87/8.80 | (6630) all_0_238_238 = e23 | all_0_242_242 = e23
% 31.87/8.80 |
% 31.87/8.80 +-Applying beta-rule and splitting (6630), into two cases.
% 31.87/8.80 |-Branch one:
% 31.87/8.80 | (637) all_0_238_238 = e23
% 31.87/8.80 |
% 31.87/8.80 | Combining equations (536,637) yields a new equation:
% 31.87/8.80 | (590) e23 = e21
% 31.87/8.80 |
% 31.87/8.80 | Equations (590) can reduce 215 to:
% 31.87/8.80 | (537) $false
% 31.87/8.80 |
% 31.87/8.80 |-The branch is then unsatisfiable
% 31.87/8.80 |-Branch two:
% 31.87/8.80 | (608) ~ (all_0_238_238 = e23)
% 31.87/8.80 | (596) all_0_242_242 = e23
% 31.87/8.80 |
% 31.87/8.80 | Equations (596) can reduce 600 to:
% 31.87/8.80 | (537) $false
% 31.87/8.80 |
% 31.87/8.80 |-The branch is then unsatisfiable
% 31.87/8.80 |-Branch two:
% 31.87/8.80 | (6512) ~ (all_0_244_244 = e20)
% 31.87/8.80 | (6295) all_0_245_245 = e20
% 31.87/8.80 |
% 31.87/8.80 | Combining equations (6295,569) yields a new equation:
% 31.87/8.80 | (664) e21 = e20
% 31.87/8.80 |
% 31.87/8.80 | Equations (664) can reduce 401 to:
% 31.87/8.80 | (537) $false
% 31.87/8.80 |
% 31.87/8.80 |-The branch is then unsatisfiable
% 31.87/8.80 |-Branch two:
% 31.87/8.80 | (688) ~ (all_0_243_243 = e23)
% 31.87/8.80 | (687) all_0_245_245 = e23
% 31.87/8.80 |
% 31.87/8.80 | Combining equations (687,569) yields a new equation:
% 31.87/8.80 | (597) e23 = e21
% 31.87/8.80 |
% 31.87/8.80 | Simplifying 597 yields:
% 31.87/8.80 | (590) e23 = e21
% 31.87/8.80 |
% 31.87/8.80 | Equations (590) can reduce 215 to:
% 31.87/8.80 | (537) $false
% 31.87/8.80 |
% 31.87/8.80 |-The branch is then unsatisfiable
% 31.87/8.80 |-Branch two:
% 31.87/8.80 | (541) ~ (all_0_236_236 = e21)
% 31.87/8.80 | (7889) all_0_240_240 = e21 | all_0_244_244 = e21
% 31.87/8.80 |
% 31.87/8.80 +-Applying beta-rule and splitting (7889), into two cases.
% 31.87/8.80 |-Branch one:
% 31.87/8.80 | (540) all_0_240_240 = e21
% 31.87/8.80 |
% 31.87/8.80 | Equations (540) can reduce 6938 to:
% 31.87/8.80 | (537) $false
% 31.87/8.80 |
% 31.87/8.80 |-The branch is then unsatisfiable
% 31.87/8.80 |-Branch two:
% 31.87/8.80 | (6938) ~ (all_0_240_240 = e21)
% 31.87/8.80 | (581) all_0_244_244 = e21
% 31.87/8.80 |
% 31.87/8.80 | Equations (581) can reduce 350 to:
% 31.87/8.80 | (6938) ~ (all_0_240_240 = e21)
% 31.87/8.80 |
% 31.87/8.80 | Equations (581) can reduce 145 to:
% 31.87/8.80 | (505) ~ (all_0_245_245 = e21)
% 31.87/8.80 |
% 31.87/8.80 | Simplifying 505 yields:
% 31.87/8.80 | (506) ~ (all_0_245_245 = e21)
% 31.87/8.80 |
% 31.87/8.80 | Equations (581) can reduce 95 to:
% 31.87/8.80 | (548) ~ (e23 = e21)
% 31.87/8.80 |
% 31.87/8.80 | Simplifying 548 yields:
% 31.87/8.80 | (215) ~ (e23 = e21)
% 31.87/8.80 |
% 31.87/8.80 | From (581)(581) and (2) follows:
% 31.87/8.80 | (8914) op2(e21, e21) = all_0_64_64
% 31.87/8.80 |
% 31.87/8.80 | From (581) and (443) follows:
% 31.87/8.80 | (8915) op2(e21, e21) = all_0_160_160
% 31.87/8.80 |
% 31.87/8.80 | From (581) and (197) follows:
% 31.87/8.80 | (8916) op2(e23, e21) = all_0_126_126
% 31.87/8.80 |
% 31.87/8.80 | From (581) and (13) follows:
% 31.87/8.80 | (8917) op2(e22, e21) = all_0_127_127
% 31.87/8.80 |
% 31.87/8.80 | From (581) and (267) follows:
% 31.87/8.80 | (8918) op2(e21, e21) = all_0_161_161
% 31.87/8.80 |
% 31.87/8.80 | From (581) and (139) follows:
% 31.87/8.81 | (8919) op2(e21, e21) = e21
% 31.87/8.81 |
% 31.87/8.81 | From (581) and (442) follows:
% 31.87/8.81 | (8920) op2(e20, e21) = all_0_128_128
% 31.87/8.81 |
% 31.87/8.81 +-Applying beta-rule and splitting (52), into two cases.
% 31.87/8.81 |-Branch one:
% 31.87/8.81 | (523) all_0_237_237 = e21
% 31.87/8.81 |
% 31.87/8.81 | Equations (523) can reduce 76 to:
% 31.87/8.81 | (501) ~ (all_0_234_234 = e21)
% 31.87/8.81 |
% 31.87/8.81 | Equations (523) can reduce 447 to:
% 31.87/8.81 | (416) ~ (all_0_235_235 = e21)
% 31.87/8.81 |
% 31.87/8.81 | Equations (523) can reduce 159 to:
% 31.87/8.81 | (541) ~ (all_0_236_236 = e21)
% 31.87/8.81 |
% 31.87/8.81 | Equations (523) can reduce 245 to:
% 31.87/8.81 | (526) ~ (all_0_241_241 = e21)
% 31.87/8.81 |
% 31.87/8.81 | Simplifying 526 yields:
% 31.87/8.81 | (527) ~ (all_0_241_241 = e21)
% 31.87/8.81 |
% 31.87/8.81 | Equations (523) can reduce 418 to:
% 31.87/8.81 | (505) ~ (all_0_245_245 = e21)
% 31.87/8.81 |
% 31.87/8.81 | Simplifying 505 yields:
% 31.87/8.81 | (506) ~ (all_0_245_245 = e21)
% 31.87/8.81 |
% 31.87/8.81 | Equations (523) can reduce 337 to:
% 31.87/8.81 | (530) ~ (e22 = e21)
% 31.87/8.81 |
% 31.87/8.81 | Simplifying 530 yields:
% 31.87/8.81 | (92) ~ (e22 = e21)
% 31.87/8.81 |
% 31.87/8.81 | From (523) and (268) follows:
% 31.87/8.81 | (532) op2(e21, e23) = all_0_141_141
% 31.87/8.81 |
% 31.87/8.81 | From (523) and (4) follows:
% 31.87/8.81 | (533) op2(e23, e21) = all_0_142_142
% 31.87/8.81 |
% 31.87/8.81 | From (523) and (441) follows:
% 31.87/8.81 | (534) op2(e23, e20) = e21
% 31.87/8.81 |
% 31.87/8.81 | From (523) and (279) follows:
% 31.87/8.81 | (11047) op2(e22, e21) = all_0_105_105
% 31.87/8.81 |
% 31.87/8.81 | From (523) and (175) follows:
% 31.87/8.81 | (11048) op2(e21, e21) = all_0_106_106
% 31.87/8.81 |
% 31.87/8.81 | From (523) and (201) follows:
% 31.87/8.81 | (535) op2(e20, e21) = all_0_107_107
% 31.87/8.81 |
% 31.87/8.81 | Instantiating formula (340) with e23, e21, all_0_126_126, all_0_236_236 and discharging atoms op2(e23, e21) = all_0_126_126, op2(e23, e21) = all_0_236_236, yields:
% 31.87/8.81 | (8949) all_0_126_126 = all_0_236_236
% 31.87/8.81 |
% 31.87/8.81 | Instantiating formula (340) with e23, e21, all_0_142_142, all_0_126_126 and discharging atoms op2(e23, e21) = all_0_126_126, op2(e23, e21) = all_0_142_142, yields:
% 31.87/8.81 | (10874) all_0_126_126 = all_0_142_142
% 31.87/8.81 |
% 31.87/8.81 | Instantiating formula (340) with e22, e21, all_0_105_105, all_0_240_240 and discharging atoms op2(e22, e21) = all_0_105_105, op2(e22, e21) = all_0_240_240, yields:
% 31.87/8.81 | (11052) all_0_105_105 = all_0_240_240
% 31.87/8.81 |
% 31.87/8.81 | Instantiating formula (340) with e22, e21, all_0_127_127, all_0_105_105 and discharging atoms op2(e22, e21) = all_0_105_105, op2(e22, e21) = all_0_127_127, yields:
% 31.87/8.81 | (11053) all_0_105_105 = all_0_127_127
% 31.87/8.81 |
% 31.87/8.81 | Instantiating formula (340) with e21, e23, all_0_141_141, all_0_242_242 and discharging atoms op2(e21, e23) = all_0_141_141, op2(e21, e23) = all_0_242_242, yields:
% 31.87/8.81 | (11054) all_0_141_141 = all_0_242_242
% 31.87/8.81 |
% 31.87/8.81 | Instantiating formula (340) with e21, e21, all_0_106_106, all_0_64_64 and discharging atoms op2(e21, e21) = all_0_64_64, op2(e21, e21) = all_0_106_106, yields:
% 31.87/8.81 | (11055) all_0_64_64 = all_0_106_106
% 31.87/8.81 |
% 31.87/8.81 | Instantiating formula (340) with e21, e21, all_0_160_160, all_0_64_64 and discharging atoms op2(e21, e21) = all_0_64_64, op2(e21, e21) = all_0_160_160, yields:
% 31.87/8.81 | (8942) all_0_64_64 = all_0_160_160
% 31.87/8.81 |
% 31.87/8.81 | Instantiating formula (340) with e21, e21, all_0_161_161, all_0_160_160 and discharging atoms op2(e21, e21) = all_0_160_160, op2(e21, e21) = all_0_161_161, yields:
% 31.87/8.81 | (8950) all_0_160_160 = all_0_161_161
% 31.87/8.81 |
% 31.87/8.81 | Instantiating formula (340) with e21, e21, e21, all_0_64_64 and discharging atoms op2(e21, e21) = all_0_64_64, op2(e21, e21) = e21, yields:
% 31.87/8.81 | (11058) all_0_64_64 = e21
% 31.87/8.81 |
% 31.87/8.81 | Instantiating formula (340) with e20, e21, all_0_107_107, e23 and discharging atoms op2(e20, e21) = all_0_107_107, op2(e20, e21) = e23, yields:
% 31.87/8.81 | (557) all_0_107_107 = e23
% 31.87/8.81 |
% 31.87/8.81 | Instantiating formula (340) with e20, e21, all_0_128_128, all_0_107_107 and discharging atoms op2(e20, e21) = all_0_107_107, op2(e20, e21) = all_0_128_128, yields:
% 31.87/8.81 | (11060) all_0_107_107 = all_0_128_128
% 31.87/8.81 |
% 31.87/8.81 | Combining equations (11058,11055) yields a new equation:
% 31.87/8.81 | (10194) all_0_106_106 = e21
% 31.87/8.81 |
% 31.87/8.81 | Combining equations (8942,11055) yields a new equation:
% 31.87/8.81 | (11062) all_0_106_106 = all_0_160_160
% 31.87/8.81 |
% 31.87/8.81 | Combining equations (11053,11052) yields a new equation:
% 31.87/8.81 | (11063) all_0_127_127 = all_0_240_240
% 31.87/8.81 |
% 31.87/8.81 | Simplifying 11063 yields:
% 31.87/8.81 | (8938) all_0_127_127 = all_0_240_240
% 31.87/8.81 |
% 31.87/8.81 | Combining equations (11062,10194) yields a new equation:
% 31.87/8.81 | (11065) all_0_160_160 = e21
% 31.87/8.81 |
% 31.87/8.82 | Simplifying 11065 yields:
% 31.87/8.82 | (8951) all_0_160_160 = e21
% 31.87/8.82 |
% 31.87/8.82 | Combining equations (557,11060) yields a new equation:
% 31.87/8.82 | (8952) all_0_128_128 = e23
% 31.87/8.82 |
% 31.87/8.82 | Combining equations (8949,10874) yields a new equation:
% 31.87/8.82 | (560) all_0_142_142 = all_0_236_236
% 31.87/8.82 |
% 31.87/8.82 | Combining equations (8951,8950) yields a new equation:
% 31.87/8.82 | (8954) all_0_161_161 = e21
% 31.87/8.82 |
% 31.87/8.82 | From (560) and (533) follows:
% 31.87/8.82 | (451) op2(e23, e21) = all_0_236_236
% 31.87/8.82 |
% 31.87/8.82 | From (8938) and (8917) follows:
% 31.87/8.82 | (473) op2(e22, e21) = all_0_240_240
% 31.87/8.82 |
% 31.87/8.82 | From (8952) and (8920) follows:
% 31.87/8.82 | (323) op2(e20, e21) = e23
% 31.87/8.82 |
% 31.87/8.82 +-Applying beta-rule and splitting (276), into two cases.
% 31.87/8.82 |-Branch one:
% 31.87/8.82 | (540) all_0_240_240 = e21
% 31.87/8.82 |
% 31.87/8.82 | Equations (540) can reduce 6938 to:
% 31.87/8.82 | (537) $false
% 31.87/8.82 |
% 31.87/8.82 |-The branch is then unsatisfiable
% 31.87/8.82 |-Branch two:
% 31.87/8.82 | (6938) ~ (all_0_240_240 = e21)
% 31.87/8.82 | (6992) all_0_240_240 = e22 | all_0_240_240 = e20
% 31.87/8.82 |
% 31.87/8.82 +-Applying beta-rule and splitting (290), into two cases.
% 31.87/8.82 |-Branch one:
% 31.87/8.82 | (569) all_0_245_245 = e21
% 31.87/8.82 |
% 31.87/8.82 | Equations (569) can reduce 506 to:
% 31.87/8.82 | (537) $false
% 31.87/8.82 |
% 31.87/8.82 |-The branch is then unsatisfiable
% 31.87/8.82 |-Branch two:
% 31.87/8.82 | (506) ~ (all_0_245_245 = e21)
% 31.87/8.82 | (572) all_0_245_245 = e23 | all_0_245_245 = e20
% 31.87/8.82 |
% 31.87/8.82 +-Applying beta-rule and splitting (344), into two cases.
% 31.87/8.82 |-Branch one:
% 31.87/8.82 | (585) all_0_241_241 = e21
% 31.87/8.82 |
% 31.87/8.82 | Equations (585) can reduce 527 to:
% 31.87/8.82 | (537) $false
% 31.87/8.82 |
% 31.87/8.82 |-The branch is then unsatisfiable
% 31.87/8.82 |-Branch two:
% 31.87/8.82 | (527) ~ (all_0_241_241 = e21)
% 31.87/8.82 | (588) all_0_241_241 = e23 | all_0_241_241 = e20
% 31.87/8.82 |
% 31.87/8.82 +-Applying beta-rule and splitting (195), into two cases.
% 31.87/8.82 |-Branch one:
% 31.87/8.82 | (577) all_0_236_236 = e21
% 31.87/8.82 |
% 31.87/8.82 | Equations (577) can reduce 541 to:
% 31.87/8.82 | (537) $false
% 31.87/8.82 |
% 31.87/8.82 |-The branch is then unsatisfiable
% 31.87/8.82 |-Branch two:
% 31.87/8.82 | (541) ~ (all_0_236_236 = e21)
% 31.87/8.82 | (580) all_0_236_236 = e22 | all_0_236_236 = e20
% 31.87/8.82 |
% 31.87/8.82 +-Applying beta-rule and splitting (94), into two cases.
% 31.87/8.82 |-Branch one:
% 31.87/8.82 | (610) all_0_238_238 = e22
% 31.87/8.82 |
% 31.87/8.82 | Combining equations (536,610) yields a new equation:
% 31.87/8.82 | (6323) e22 = e21
% 31.87/8.82 |
% 31.87/8.82 | Equations (6323) can reduce 92 to:
% 31.87/8.82 | (537) $false
% 31.87/8.82 |
% 31.87/8.82 |-The branch is then unsatisfiable
% 31.87/8.82 |-Branch two:
% 31.87/8.82 | (6622) ~ (all_0_238_238 = e22)
% 31.87/8.82 | (6652) all_0_239_239 = e22 | all_0_240_240 = e22
% 31.87/8.82 |
% 31.87/8.82 | Equations (536) can reduce 6622 to:
% 31.87/8.82 | (530) ~ (e22 = e21)
% 31.87/8.82 |
% 31.87/8.82 | Simplifying 530 yields:
% 31.87/8.82 | (92) ~ (e22 = e21)
% 31.87/8.82 |
% 31.87/8.82 +-Applying beta-rule and splitting (64), into two cases.
% 31.87/8.82 |-Branch one:
% 31.87/8.82 | (6310) all_0_234_234 = e22
% 31.87/8.82 |
% 31.87/8.82 | Equations (6310) can reduce 475 to:
% 31.87/8.82 | (6639) ~ (all_0_236_236 = e22)
% 31.87/8.82 |
% 31.87/8.82 | Simplifying 6639 yields:
% 31.87/8.82 | (6308) ~ (all_0_236_236 = e22)
% 31.87/8.82 |
% 31.87/8.82 | Equations (6310) can reduce 501 to:
% 31.87/8.82 | (92) ~ (e22 = e21)
% 31.87/8.82 |
% 31.87/8.82 | From (6310)(6310) and (149) follows:
% 31.87/8.82 | (6644) op2(e22, e22) = all_0_10_10
% 31.87/8.82 |
% 31.87/8.82 | From (6310) and (471) follows:
% 31.87/8.82 | (6645) op2(e23, e22) = all_0_133_133
% 31.87/8.82 |
% 31.87/8.82 | From (6310) and (308) follows:
% 31.87/8.82 | (7035) op2(e23, e23) = e22
% 31.87/8.82 |
% 31.87/8.82 | From (6310) and (33) follows:
% 31.87/8.82 | (6646) op2(e22, e22) = all_0_96_96
% 31.87/8.82 |
% 31.87/8.82 | From (6310) and (118) follows:
% 31.87/8.82 | (7037) op2(e21, e22) = all_0_97_97
% 31.87/8.82 |
% 31.87/8.82 +-Applying beta-rule and splitting (580), into two cases.
% 31.87/8.82 |-Branch one:
% 31.87/8.82 | (645) all_0_236_236 = e22
% 31.87/8.82 |
% 31.87/8.82 | Equations (645) can reduce 6308 to:
% 31.87/8.82 | (537) $false
% 31.87/8.82 |
% 31.87/8.82 |-The branch is then unsatisfiable
% 31.87/8.82 |-Branch two:
% 31.87/8.82 | (6308) ~ (all_0_236_236 = e22)
% 31.87/8.82 | (656) all_0_236_236 = e20
% 31.87/8.82 |
% 31.87/8.82 | Equations (656) can reduce 6308 to:
% 31.87/8.82 | (652) ~ (e22 = e20)
% 31.87/8.82 |
% 31.87/8.82 | Simplifying 652 yields:
% 31.87/8.82 | (294) ~ (e22 = e20)
% 31.87/8.82 |
% 31.87/8.82 | From (656) and (285) follows:
% 31.87/8.82 | (6350) op2(e20, e23) = all_0_138_138
% 31.87/8.82 |
% 31.87/8.82 | From (656) and (132) follows:
% 31.87/8.82 | (6351) op2(e20, e21) = all_0_137_137
% 31.87/8.82 |
% 31.87/8.82 | From (656) and (451) follows:
% 31.87/8.82 | (6353) op2(e23, e21) = e20
% 31.87/8.82 |
% 31.87/8.82 +-Applying beta-rule and splitting (430), into two cases.
% 31.87/8.82 |-Branch one:
% 31.87/8.82 | (604) all_0_234_234 = e23
% 31.87/8.82 |
% 31.87/8.82 | Combining equations (6310,604) yields a new equation:
% 31.87/8.82 | (639) e23 = e22
% 31.87/8.82 |
% 31.87/8.82 | Equations (639) can reduce 449 to:
% 31.87/8.82 | (537) $false
% 31.87/8.82 |
% 31.87/8.82 |-The branch is then unsatisfiable
% 31.87/8.82 |-Branch two:
% 31.87/8.82 | (6625) ~ (all_0_234_234 = e23)
% 31.87/8.83 | (6626) all_0_235_235 = e23 | all_0_237_237 = e23
% 31.87/8.83 |
% 31.87/8.83 +-Applying beta-rule and splitting (191), into two cases.
% 31.87/8.83 |-Branch one:
% 31.87/8.83 | (645) all_0_236_236 = e22
% 31.87/8.83 |
% 31.87/8.83 | Combining equations (645,656) yields a new equation:
% 31.87/8.83 | (657) e22 = e20
% 31.87/8.83 |
% 31.87/8.83 | Simplifying 657 yields:
% 31.87/8.83 | (658) e22 = e20
% 31.87/8.83 |
% 31.87/8.83 | Equations (658) can reduce 294 to:
% 31.87/8.83 | (537) $false
% 31.87/8.83 |
% 31.87/8.83 |-The branch is then unsatisfiable
% 31.87/8.83 |-Branch two:
% 31.97/8.83 | (6308) ~ (all_0_236_236 = e22)
% 31.97/8.83 | (6309) all_0_240_240 = e22 | all_0_244_244 = e22
% 31.97/8.83 |
% 31.97/8.83 +-Applying beta-rule and splitting (6309), into two cases.
% 31.97/8.83 |-Branch one:
% 31.97/8.83 | (6335) all_0_240_240 = e22
% 31.97/8.83 |
% 31.97/8.83 | Equations (6335) can reduce 84 to:
% 31.97/8.83 | (6318) ~ (all_0_239_239 = e22)
% 31.97/8.83 |
% 31.97/8.83 | Equations (6335) can reduce 186 to:
% 31.97/8.83 | (611) ~ (all_0_241_241 = e22)
% 31.97/8.83 |
% 31.97/8.83 | Simplifying 611 yields:
% 31.97/8.83 | (152) ~ (all_0_241_241 = e22)
% 31.97/8.83 |
% 31.97/8.83 | Equations (6335) can reduce 327 to:
% 31.97/8.83 | (613) ~ (e23 = e22)
% 31.97/8.83 |
% 31.97/8.83 | Simplifying 613 yields:
% 31.97/8.83 | (449) ~ (e23 = e22)
% 31.97/8.83 |
% 31.97/8.83 | From (6335) and (426) follows:
% 31.97/8.83 | (7396) op2(e22, e22) = all_0_149_149
% 31.97/8.83 |
% 31.97/8.83 | From (6335) and (105) follows:
% 31.97/8.83 | (9069) op2(e23, e22) = all_0_114_114
% 31.97/8.83 |
% 31.97/8.83 | From (6335) and (359) follows:
% 31.97/8.83 | (9070) op2(e22, e22) = all_0_150_150
% 31.97/8.83 |
% 31.97/8.83 | From (6335) and (333) follows:
% 31.97/8.83 | (10107) op2(e21, e22) = all_0_115_115
% 31.97/8.83 |
% 31.97/8.83 +-Applying beta-rule and splitting (98), into two cases.
% 31.97/8.83 |-Branch one:
% 31.97/8.83 | (604) all_0_234_234 = e23
% 31.97/8.83 |
% 31.97/8.83 | Combining equations (6310,604) yields a new equation:
% 31.97/8.83 | (639) e23 = e22
% 31.97/8.83 |
% 31.97/8.83 | Equations (639) can reduce 449 to:
% 31.97/8.83 | (537) $false
% 31.97/8.83 |
% 31.97/8.83 |-The branch is then unsatisfiable
% 31.97/8.83 |-Branch two:
% 31.97/8.83 | (6625) ~ (all_0_234_234 = e23)
% 31.97/8.83 | (6630) all_0_238_238 = e23 | all_0_242_242 = e23
% 31.97/8.83 |
% 31.97/8.83 +-Applying beta-rule and splitting (6626), into two cases.
% 31.97/8.83 |-Branch one:
% 31.97/8.83 | (633) all_0_235_235 = e23
% 31.97/8.83 |
% 31.97/8.83 | Equations (633) can reduce 415 to:
% 31.97/8.83 | (7326) ~ (all_0_239_239 = e23)
% 31.97/8.83 |
% 31.97/8.83 | Simplifying 7326 yields:
% 31.97/8.83 | (6283) ~ (all_0_239_239 = e23)
% 31.97/8.83 |
% 31.97/8.83 | Equations (633) can reduce 416 to:
% 31.97/8.83 | (215) ~ (e23 = e21)
% 31.97/8.83 |
% 31.97/8.83 | From (633) and (325) follows:
% 31.97/8.83 | (7331) op2(e23, e23) = all_0_135_135
% 31.97/8.83 |
% 31.97/8.83 | From (633) and (220) follows:
% 31.97/8.83 | (6700) op2(e23, e22) = all_0_134_134
% 31.97/8.83 |
% 31.97/8.83 | From (633) and (313) follows:
% 31.97/8.83 | (7332) op2(e23, e23) = all_0_136_136
% 31.97/8.83 |
% 31.97/8.83 | From (633) and (436) follows:
% 31.97/8.83 | (6701) op2(e23, e22) = e23
% 31.97/8.83 |
% 31.97/8.83 | From (633) and (417) follows:
% 31.97/8.83 | (6703) op2(e20, e23) = all_0_101_101
% 31.97/8.83 |
% 31.97/8.83 +-Applying beta-rule and splitting (397), into two cases.
% 31.97/8.83 |-Branch one:
% 31.97/8.83 | (637) all_0_238_238 = e23
% 31.97/8.83 |
% 31.97/8.83 | Combining equations (536,637) yields a new equation:
% 31.97/8.83 | (590) e23 = e21
% 31.97/8.83 |
% 31.97/8.83 | Equations (590) can reduce 215 to:
% 31.97/8.83 | (537) $false
% 31.97/8.83 |
% 31.97/8.83 |-The branch is then unsatisfiable
% 31.97/8.83 |-Branch two:
% 31.97/8.83 | (608) ~ (all_0_238_238 = e23)
% 31.97/8.83 | (642) all_0_239_239 = e23 | all_0_241_241 = e23
% 31.97/8.83 |
% 31.97/8.83 +-Applying beta-rule and splitting (642), into two cases.
% 31.97/8.83 |-Branch one:
% 31.97/8.83 | (692) all_0_239_239 = e23
% 31.97/8.83 |
% 31.97/8.83 | Equations (692) can reduce 6283 to:
% 31.97/8.83 | (537) $false
% 31.97/8.83 |
% 31.97/8.83 |-The branch is then unsatisfiable
% 31.97/8.83 |-Branch two:
% 31.97/8.83 | (6283) ~ (all_0_239_239 = e23)
% 31.97/8.83 | (682) all_0_241_241 = e23
% 31.97/8.83 |
% 31.97/8.83 | Equations (682) can reduce 379 to:
% 31.97/8.83 | (6283) ~ (all_0_239_239 = e23)
% 31.97/8.83 |
% 31.97/8.83 | Equations (682) can reduce 152 to:
% 31.97/8.83 | (449) ~ (e23 = e22)
% 31.97/8.83 |
% 31.97/8.83 | Equations (682) can reduce 527 to:
% 31.97/8.83 | (215) ~ (e23 = e21)
% 31.97/8.83 |
% 31.97/8.83 | From (682) and (463) follows:
% 31.97/8.83 | (6526) op2(e23, e22) = all_0_152_152
% 31.97/8.83 |
% 31.97/8.83 | From (682) and (277) follows:
% 31.97/8.83 | (11162) op2(e23, e23) = all_0_117_117
% 31.97/8.83 |
% 31.97/8.83 | From (682) and (229) follows:
% 31.97/8.83 | (11163) op2(e20, e23) = all_0_119_119
% 31.97/8.83 |
% 31.97/8.83 +-Applying beta-rule and splitting (281), into two cases.
% 31.97/8.83 |-Branch one:
% 31.97/8.83 | (647) all_0_235_235 = e22
% 31.97/8.83 |
% 31.97/8.83 | Combining equations (633,647) yields a new equation:
% 31.97/8.83 | (638) e23 = e22
% 31.97/8.83 |
% 31.97/8.83 | Simplifying 638 yields:
% 31.97/8.83 | (639) e23 = e22
% 31.97/8.83 |
% 31.97/8.83 | Equations (639) can reduce 449 to:
% 31.97/8.83 | (537) $false
% 31.97/8.83 |
% 31.97/8.83 |-The branch is then unsatisfiable
% 31.97/8.83 |-Branch two:
% 31.97/8.83 | (646) ~ (all_0_235_235 = e22)
% 31.97/8.83 | (650) all_0_239_239 = e22 | all_0_243_243 = e22
% 31.97/8.83 |
% 31.97/8.83 +-Applying beta-rule and splitting (82), into two cases.
% 31.97/8.83 |-Branch one:
% 31.97/8.83 | (6372) all_0_239_239 = e22
% 31.97/8.83 |
% 31.97/8.83 | Equations (6372) can reduce 6318 to:
% 31.97/8.83 | (537) $false
% 31.97/8.83 |
% 31.97/8.83 |-The branch is then unsatisfiable
% 31.97/8.83 |-Branch two:
% 31.97/8.83 | (6318) ~ (all_0_239_239 = e22)
% 31.97/8.83 | (6375) all_0_239_239 = e23 | all_0_239_239 = e20
% 31.97/8.83 |
% 31.97/8.83 +-Applying beta-rule and splitting (390), into two cases.
% 31.97/8.83 |-Branch one:
% 31.97/8.83 | (596) all_0_242_242 = e23
% 31.97/8.83 |
% 31.97/8.83 | Combining equations (596,11054) yields a new equation:
% 31.97/8.83 | (11175) all_0_141_141 = e23
% 31.97/8.83 |
% 31.97/8.83 | Equations (596) can reduce 392 to:
% 31.97/8.84 | (6698) ~ (all_0_243_243 = e23)
% 31.97/8.84 |
% 31.97/8.84 | Simplifying 6698 yields:
% 31.97/8.84 | (688) ~ (all_0_243_243 = e23)
% 31.97/8.84 |
% 31.97/8.84 | Equations (596) can reduce 44 to:
% 31.97/8.84 | (6500) ~ (all_0_245_245 = e23)
% 31.97/8.84 |
% 31.97/8.84 | Simplifying 6500 yields:
% 31.97/8.84 | (6501) ~ (all_0_245_245 = e23)
% 31.97/8.84 |
% 31.97/8.84 | From (596) and (302) follows:
% 31.97/8.84 | (10020) op2(e23, e23) = all_0_154_154
% 31.97/8.84 |
% 31.97/8.84 | From (596) and (97) follows:
% 31.97/8.84 | (8264) op2(e23, e21) = all_0_155_155
% 31.97/8.84 |
% 31.97/8.84 | From (596) and (165) follows:
% 31.97/8.84 | (10022) op2(e23, e23) = all_0_120_120
% 31.97/8.84 |
% 31.97/8.84 | From (596) and (351) follows:
% 31.97/8.84 | (10023) op2(e20, e23) = all_0_122_122
% 31.97/8.84 |
% 31.97/8.84 +-Applying beta-rule and splitting (6375), into two cases.
% 31.97/8.84 |-Branch one:
% 31.97/8.84 | (692) all_0_239_239 = e23
% 31.97/8.84 |
% 31.97/8.84 | Equations (692) can reduce 6283 to:
% 31.97/8.84 | (537) $false
% 31.97/8.84 |
% 31.97/8.84 |-The branch is then unsatisfiable
% 31.97/8.84 |-Branch two:
% 31.97/8.84 | (6283) ~ (all_0_239_239 = e23)
% 31.97/8.84 | (6389) all_0_239_239 = e20
% 31.97/8.84 |
% 31.97/8.84 | Equations (6389) can reduce 6318 to:
% 31.97/8.84 | (652) ~ (e22 = e20)
% 31.97/8.84 |
% 31.97/8.84 | Simplifying 652 yields:
% 31.97/8.84 | (294) ~ (e22 = e20)
% 31.97/8.84 |
% 31.97/8.84 | From (6389) and (256) follows:
% 31.97/8.84 | (7388) op2(e22, e22) = e20
% 31.97/8.84 |
% 31.97/8.84 +-Applying beta-rule and splitting (650), into two cases.
% 31.97/8.84 |-Branch one:
% 31.97/8.84 | (6372) all_0_239_239 = e22
% 31.97/8.84 |
% 31.97/8.84 | Combining equations (6389,6372) yields a new equation:
% 31.97/8.84 | (658) e22 = e20
% 31.97/8.84 |
% 31.97/8.84 | Equations (658) can reduce 294 to:
% 31.97/8.84 | (537) $false
% 31.97/8.84 |
% 31.97/8.84 |-The branch is then unsatisfiable
% 31.97/8.84 |-Branch two:
% 31.97/8.84 | (6318) ~ (all_0_239_239 = e22)
% 31.97/8.84 | (689) all_0_243_243 = e22
% 31.97/8.84 |
% 31.97/8.84 | Combining equations (689,9929) yields a new equation:
% 31.97/8.84 | (9111) all_0_144_144 = e22
% 31.97/8.84 |
% 31.97/8.84 | Equations (689) can reduce 688 to:
% 31.97/8.84 | (613) ~ (e23 = e22)
% 31.97/8.84 |
% 31.97/8.84 | Simplifying 613 yields:
% 31.97/8.84 | (449) ~ (e23 = e22)
% 31.97/8.84 |
% 31.97/8.84 | From (689) and (373) follows:
% 31.97/8.84 | (10074) op2(e22, e22) = all_0_157_157
% 31.97/8.84 |
% 31.97/8.84 | From (689) and (376) follows:
% 31.97/8.84 | (10075) op2(e23, e22) = all_0_123_123
% 31.97/8.84 |
% 31.97/8.84 | From (689) and (30) follows:
% 31.97/8.84 | (9517) op2(e22, e22) = all_0_124_124
% 31.97/8.84 |
% 31.97/8.84 | From (689) and (370) follows:
% 31.97/8.84 | (7365) op2(e21, e22) = all_0_159_159
% 31.97/8.84 |
% 31.97/8.84 | From (689) and (54) follows:
% 31.97/8.84 | (7366) op2(e21, e22) = e22
% 31.97/8.84 |
% 31.97/8.84 +-Applying beta-rule and splitting (572), into two cases.
% 31.97/8.84 |-Branch one:
% 31.97/8.84 | (687) all_0_245_245 = e23
% 31.97/8.84 |
% 31.97/8.84 | Equations (687) can reduce 6501 to:
% 31.97/8.84 | (537) $false
% 31.97/8.84 |
% 31.97/8.84 |-The branch is then unsatisfiable
% 31.97/8.84 |-Branch two:
% 31.97/8.84 | (6501) ~ (all_0_245_245 = e23)
% 31.97/8.84 | (6295) all_0_245_245 = e20
% 31.97/8.84 |
% 31.97/8.84 | Equations (6295) can reduce 6501 to:
% 31.97/8.84 | (671) ~ (e23 = e20)
% 31.97/8.84 |
% 31.97/8.84 | Simplifying 671 yields:
% 31.97/8.84 | (14) ~ (e23 = e20)
% 31.97/8.84 |
% 31.97/8.84 | Equations (6295) can reduce 506 to:
% 31.97/8.84 | (654) ~ (e21 = e20)
% 31.97/8.84 |
% 31.97/8.84 | Simplifying 654 yields:
% 31.97/8.84 | (401) ~ (e21 = e20)
% 31.97/8.84 |
% 31.97/8.84 | From (6295) and (110) follows:
% 31.97/8.84 | (6521) op2(e20, e21) = all_0_163_163
% 31.97/8.84 |
% 31.97/8.84 | Instantiating formula (340) with e23, e23, all_0_120_120, all_0_117_117 and discharging atoms op2(e23, e23) = all_0_117_117, op2(e23, e23) = all_0_120_120, yields:
% 31.97/8.84 | (11213) all_0_117_117 = all_0_120_120
% 31.97/8.84 |
% 31.97/8.84 | Instantiating formula (340) with e23, e23, all_0_135_135, all_0_120_120 and discharging atoms op2(e23, e23) = all_0_120_120, op2(e23, e23) = all_0_135_135, yields:
% 31.97/8.84 | (11214) all_0_120_120 = all_0_135_135
% 31.97/8.84 |
% 31.97/8.84 | Instantiating formula (340) with e23, e23, all_0_136_136, all_0_135_135 and discharging atoms op2(e23, e23) = all_0_135_135, op2(e23, e23) = all_0_136_136, yields:
% 31.97/8.84 | (7344) all_0_135_135 = all_0_136_136
% 31.97/8.84 |
% 31.97/8.84 | Instantiating formula (340) with e23, e23, all_0_154_154, all_0_117_117 and discharging atoms op2(e23, e23) = all_0_117_117, op2(e23, e23) = all_0_154_154, yields:
% 31.97/8.84 | (11216) all_0_117_117 = all_0_154_154
% 31.97/8.84 |
% 31.97/8.84 | Instantiating formula (340) with e23, e23, e22, all_0_135_135 and discharging atoms op2(e23, e23) = all_0_135_135, op2(e23, e23) = e22, yields:
% 31.97/8.85 | (6430) all_0_135_135 = e22
% 31.97/8.85 |
% 31.97/8.85 | Instantiating formula (340) with e23, e22, all_0_123_123, all_0_114_114 and discharging atoms op2(e23, e22) = all_0_114_114, op2(e23, e22) = all_0_123_123, yields:
% 31.97/8.85 | (7723) all_0_114_114 = all_0_123_123
% 31.97/8.85 |
% 31.97/8.85 | Instantiating formula (340) with e23, e22, all_0_133_133, all_0_123_123 and discharging atoms op2(e23, e22) = all_0_123_123, op2(e23, e22) = all_0_133_133, yields:
% 31.97/8.85 | (11219) all_0_123_123 = all_0_133_133
% 31.97/8.85 |
% 31.97/8.85 | Instantiating formula (340) with e23, e22, all_0_134_134, all_0_133_133 and discharging atoms op2(e23, e22) = all_0_133_133, op2(e23, e22) = all_0_134_134, yields:
% 31.97/8.85 | (6753) all_0_133_133 = all_0_134_134
% 31.97/8.85 |
% 31.97/8.85 | Instantiating formula (340) with e23, e22, all_0_152_152, all_0_134_134 and discharging atoms op2(e23, e22) = all_0_134_134, op2(e23, e22) = all_0_152_152, yields:
% 31.97/8.85 | (8735) all_0_134_134 = all_0_152_152
% 31.97/8.85 |
% 31.97/8.85 | Instantiating formula (340) with e23, e22, e23, all_0_114_114 and discharging atoms op2(e23, e22) = all_0_114_114, op2(e23, e22) = e23, yields:
% 31.97/8.85 | (10162) all_0_114_114 = e23
% 31.97/8.85 |
% 31.97/8.85 | Instantiating formula (340) with e23, e21, e20, all_0_155_155 and discharging atoms op2(e23, e21) = all_0_155_155, op2(e23, e21) = e20, yields:
% 31.97/8.85 | (7375) all_0_155_155 = e20
% 31.97/8.85 |
% 31.97/8.85 | Instantiating formula (340) with e22, e22, all_0_124_124, all_0_10_10 and discharging atoms op2(e22, e22) = all_0_10_10, op2(e22, e22) = all_0_124_124, yields:
% 31.97/8.85 | (11224) all_0_10_10 = all_0_124_124
% 31.97/8.85 |
% 31.97/8.85 | Instantiating formula (340) with e22, e22, all_0_149_149, all_0_124_124 and discharging atoms op2(e22, e22) = all_0_124_124, op2(e22, e22) = all_0_149_149, yields:
% 31.97/8.85 | (10112) all_0_124_124 = all_0_149_149
% 31.97/8.85 |
% 31.97/8.85 | Instantiating formula (340) with e22, e22, all_0_150_150, all_0_96_96 and discharging atoms op2(e22, e22) = all_0_96_96, op2(e22, e22) = all_0_150_150, yields:
% 31.97/8.85 | (11226) all_0_96_96 = all_0_150_150
% 31.97/8.85 |
% 31.97/8.85 | Instantiating formula (340) with e22, e22, all_0_150_150, all_0_124_124 and discharging atoms op2(e22, e22) = all_0_124_124, op2(e22, e22) = all_0_150_150, yields:
% 31.97/8.85 | (7743) all_0_124_124 = all_0_150_150
% 31.97/8.85 |
% 31.97/8.85 | Instantiating formula (340) with e22, e22, all_0_157_157, all_0_10_10 and discharging atoms op2(e22, e22) = all_0_10_10, op2(e22, e22) = all_0_157_157, yields:
% 31.97/8.85 | (11228) all_0_10_10 = all_0_157_157
% 31.97/8.85 |
% 31.97/8.85 | Instantiating formula (340) with e22, e22, e20, all_0_96_96 and discharging atoms op2(e22, e22) = all_0_96_96, op2(e22, e22) = e20, yields:
% 31.97/8.85 | (11229) all_0_96_96 = e20
% 31.97/8.85 |
% 31.97/8.85 | Instantiating formula (340) with e21, e22, all_0_115_115, all_0_97_97 and discharging atoms op2(e21, e22) = all_0_97_97, op2(e21, e22) = all_0_115_115, yields:
% 31.97/8.85 | (11230) all_0_97_97 = all_0_115_115
% 31.97/8.85 |
% 31.97/8.85 | Instantiating formula (340) with e21, e22, all_0_159_159, all_0_97_97 and discharging atoms op2(e21, e22) = all_0_97_97, op2(e21, e22) = all_0_159_159, yields:
% 31.97/8.85 | (11231) all_0_97_97 = all_0_159_159
% 31.97/8.85 |
% 31.97/8.85 | Instantiating formula (340) with e21, e22, e22, all_0_115_115 and discharging atoms op2(e21, e22) = all_0_115_115, op2(e21, e22) = e22, yields:
% 31.97/8.85 | (10116) all_0_115_115 = e22
% 31.97/8.85 |
% 31.97/8.85 | Instantiating formula (340) with e20, e23, all_0_119_119, all_0_101_101 and discharging atoms op2(e20, e23) = all_0_101_101, op2(e20, e23) = all_0_119_119, yields:
% 31.97/8.85 | (11233) all_0_101_101 = all_0_119_119
% 31.97/8.85 |
% 31.97/8.85 | Instantiating formula (340) with e20, e23, all_0_122_122, e20 and discharging atoms op2(e20, e23) = all_0_122_122, op2(e20, e23) = e20, yields:
% 31.97/8.85 | (10045) all_0_122_122 = e20
% 31.97/8.85 |
% 31.97/8.85 | Instantiating formula (340) with e20, e23, all_0_122_122, all_0_119_119 and discharging atoms op2(e20, e23) = all_0_119_119, op2(e20, e23) = all_0_122_122, yields:
% 31.97/8.85 | (11235) all_0_119_119 = all_0_122_122
% 31.97/8.85 |
% 31.97/8.85 | Instantiating formula (340) with e20, e23, all_0_138_138, all_0_101_101 and discharging atoms op2(e20, e23) = all_0_101_101, op2(e20, e23) = all_0_138_138, yields:
% 31.97/8.85 | (6732) all_0_101_101 = all_0_138_138
% 31.97/8.85 |
% 31.97/8.85 | Instantiating formula (340) with e20, e21, all_0_137_137, e23 and discharging atoms op2(e20, e21) = all_0_137_137, op2(e20, e21) = e23, yields:
% 31.97/8.85 | (6358) all_0_137_137 = e23
% 31.97/8.85 |
% 31.97/8.85 | Instantiating formula (340) with e20, e21, all_0_163_163, all_0_137_137 and discharging atoms op2(e20, e21) = all_0_137_137, op2(e20, e21) = all_0_163_163, yields:
% 31.97/8.85 | (9979) all_0_137_137 = all_0_163_163
% 31.97/8.85 |
% 31.97/8.85 | Combining equations (11224,11228) yields a new equation:
% 31.97/8.85 | (11239) all_0_124_124 = all_0_157_157
% 31.97/8.85 |
% 31.97/8.85 | Simplifying 11239 yields:
% 31.97/8.85 | (10114) all_0_124_124 = all_0_157_157
% 31.97/8.85 |
% 31.97/8.85 | Combining equations (11226,11229) yields a new equation:
% 31.97/8.85 | (11241) all_0_150_150 = e20
% 31.97/8.85 |
% 31.97/8.85 | Simplifying 11241 yields:
% 31.97/8.86 | (9116) all_0_150_150 = e20
% 31.97/8.86 |
% 31.97/8.86 | Combining equations (11230,11231) yields a new equation:
% 31.97/8.86 | (10578) all_0_115_115 = all_0_159_159
% 31.97/8.86 |
% 31.97/8.86 | Simplifying 10578 yields:
% 31.97/8.86 | (10115) all_0_115_115 = all_0_159_159
% 31.97/8.86 |
% 31.97/8.86 | Combining equations (11233,6732) yields a new equation:
% 31.97/8.86 | (11245) all_0_119_119 = all_0_138_138
% 31.97/8.86 |
% 31.97/8.86 | Simplifying 11245 yields:
% 31.97/8.86 | (11246) all_0_119_119 = all_0_138_138
% 31.97/8.86 |
% 31.97/8.86 | Combining equations (7723,10162) yields a new equation:
% 31.97/8.86 | (11247) all_0_123_123 = e23
% 31.97/8.86 |
% 31.97/8.86 | Simplifying 11247 yields:
% 31.97/8.86 | (10161) all_0_123_123 = e23
% 31.97/8.86 |
% 31.97/8.86 | Combining equations (10116,10115) yields a new equation:
% 31.97/8.86 | (7398) all_0_159_159 = e22
% 31.97/8.86 |
% 31.97/8.86 | Combining equations (11213,11216) yields a new equation:
% 31.97/8.86 | (11250) all_0_120_120 = all_0_154_154
% 31.97/8.86 |
% 31.97/8.86 | Simplifying 11250 yields:
% 31.97/8.86 | (10038) all_0_120_120 = all_0_154_154
% 31.97/8.86 |
% 31.97/8.86 | Combining equations (11235,11246) yields a new equation:
% 31.97/8.86 | (11252) all_0_122_122 = all_0_138_138
% 31.97/8.86 |
% 31.97/8.86 | Simplifying 11252 yields:
% 31.97/8.86 | (11253) all_0_122_122 = all_0_138_138
% 31.97/8.86 |
% 31.97/8.86 | Combining equations (11214,10038) yields a new equation:
% 31.97/8.86 | (11254) all_0_135_135 = all_0_154_154
% 31.97/8.86 |
% 31.97/8.86 | Simplifying 11254 yields:
% 31.97/8.86 | (9080) all_0_135_135 = all_0_154_154
% 31.97/8.86 |
% 31.97/8.87 | Combining equations (10045,11253) yields a new equation:
% 31.97/8.87 | (6357) all_0_138_138 = e20
% 31.97/8.87 |
% 31.97/8.87 | Combining equations (11219,10161) yields a new equation:
% 31.97/8.87 | (11257) all_0_133_133 = e23
% 31.97/8.87 |
% 31.97/8.87 | Simplifying 11257 yields:
% 31.97/8.87 | (6763) all_0_133_133 = e23
% 31.97/8.87 |
% 31.97/8.87 | Combining equations (7743,10112) yields a new equation:
% 31.97/8.87 | (9107) all_0_149_149 = all_0_150_150
% 31.97/8.87 |
% 31.97/8.87 | Combining equations (10114,10112) yields a new equation:
% 31.97/8.87 | (10126) all_0_149_149 = all_0_157_157
% 31.97/8.87 |
% 31.97/8.87 | Combining equations (6753,6763) yields a new equation:
% 31.97/8.87 | (11261) all_0_134_134 = e23
% 31.97/8.87 |
% 31.97/8.87 | Simplifying 11261 yields:
% 31.97/8.87 | (6718) all_0_134_134 = e23
% 31.97/8.87 |
% 31.97/8.87 | Combining equations (6718,8735) yields a new equation:
% 31.97/8.87 | (7124) all_0_152_152 = e23
% 31.97/8.87 |
% 31.97/8.87 | Combining equations (6430,7344) yields a new equation:
% 31.97/8.87 | (6354) all_0_136_136 = e22
% 31.97/8.87 |
% 31.97/8.87 | Combining equations (9080,7344) yields a new equation:
% 31.97/8.87 | (11265) all_0_136_136 = all_0_154_154
% 31.97/8.87 |
% 31.97/8.87 | Combining equations (6354,11265) yields a new equation:
% 31.97/8.87 | (10049) all_0_154_154 = e22
% 31.97/8.87 |
% 31.97/8.87 | Combining equations (9979,6358) yields a new equation:
% 31.97/8.87 | (7205) all_0_163_163 = e23
% 31.97/8.87 |
% 31.97/8.87 | Simplifying 7205 yields:
% 31.97/8.87 | (6530) all_0_163_163 = e23
% 31.97/8.87 |
% 31.97/8.87 | Combining equations (9107,10126) yields a new equation:
% 31.97/8.87 | (11269) all_0_150_150 = all_0_157_157
% 31.97/8.87 |
% 31.97/8.87 | Simplifying 11269 yields:
% 31.97/8.87 | (10128) all_0_150_150 = all_0_157_157
% 31.97/8.87 |
% 31.97/8.87 | Combining equations (9116,10128) yields a new equation:
% 31.97/8.88 | (11271) all_0_157_157 = e20
% 31.97/8.88 |
% 31.97/8.88 | Combining equations (11271,10126) yields a new equation:
% 31.97/8.88 | (6377) all_0_149_149 = e20
% 31.97/8.88 |
% 31.97/8.88 | Combining equations (10049,11265) yields a new equation:
% 31.97/8.88 | (6354) all_0_136_136 = e22
% 31.97/8.88 |
% 31.97/8.88 +-Applying beta-rule and splitting (69), into two cases.
% 31.97/8.88 |-Branch one:
% 31.97/8.88 | (6421) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)) | (all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20))
% 31.97/8.88 |
% 31.97/8.88 +-Applying beta-rule and splitting (6421), into two cases.
% 31.97/8.88 |-Branch one:
% 31.97/8.88 | (6422) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22))
% 31.97/8.88 |
% 31.97/8.88 +-Applying beta-rule and splitting (6422), into two cases.
% 31.97/8.88 |-Branch one:
% 31.97/8.88 | (6423) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23))
% 31.97/8.88 |
% 31.97/8.88 +-Applying beta-rule and splitting (6423), into two cases.
% 31.97/8.88 |-Branch one:
% 31.97/8.88 | (6424) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20))
% 31.97/8.88 |
% 31.97/8.88 +-Applying beta-rule and splitting (6424), into two cases.
% 31.97/8.88 |-Branch one:
% 31.97/8.88 | (6425) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21))
% 31.97/8.88 |
% 31.97/8.88 +-Applying beta-rule and splitting (6425), into two cases.
% 31.97/8.88 |-Branch one:
% 31.97/8.88 | (6426) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23))
% 31.97/8.88 |
% 31.97/8.88 +-Applying beta-rule and splitting (6426), into two cases.
% 31.97/8.88 |-Branch one:
% 31.97/8.88 | (6427) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20))
% 31.97/8.88 |
% 31.97/8.88 +-Applying beta-rule and splitting (6427), into two cases.
% 31.97/8.88 |-Branch one:
% 31.97/8.88 | (6428) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21))
% 31.97/8.88 |
% 31.97/8.88 +-Applying beta-rule and splitting (6428), into two cases.
% 31.97/8.88 |-Branch one:
% 31.97/8.88 | (6429) all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)
% 31.97/8.88 |
% 31.97/8.88 | Applying alpha-rule on (6429) yields:
% 31.97/8.88 | (6430) all_0_135_135 = e22
% 31.97/8.88 | (6431) ~ (all_0_134_134 = e23)
% 31.97/8.88 | (6432) ~ (all_0_136_136 = e22)
% 31.97/8.88 |
% 31.97/8.88 | Equations (6354) can reduce 6432 to:
% 31.97/8.88 | (537) $false
% 31.97/8.88 |
% 31.97/8.88 |-The branch is then unsatisfiable
% 31.97/8.88 |-Branch two:
% 31.97/8.88 | (6434) all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)
% 31.97/8.88 |
% 31.97/8.88 | Applying alpha-rule on (6434) yields:
% 31.97/8.88 | (6435) all_0_138_138 = e21
% 31.97/8.88 | (6436) ~ (all_0_137_137 = e23)
% 31.97/8.88 | (6437) ~ (all_0_139_139 = e21)
% 31.97/8.88 |
% 31.97/8.88 | Combining equations (6357,6435) yields a new equation:
% 31.97/8.88 | (664) e21 = e20
% 31.97/8.88 |
% 31.97/8.88 | Equations (664) can reduce 401 to:
% 31.97/8.88 | (537) $false
% 31.97/8.88 |
% 31.97/8.88 |-The branch is then unsatisfiable
% 31.97/8.88 |-Branch two:
% 31.97/8.88 | (6441) all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)
% 31.97/8.88 |
% 31.97/8.88 | Applying alpha-rule on (6441) yields:
% 31.97/8.88 | (6442) all_0_141_141 = e20
% 31.97/8.88 | (6443) ~ (all_0_140_140 = e23)
% 31.97/8.88 | (6444) ~ (all_0_142_142 = e20)
% 31.97/8.88 |
% 31.97/8.88 | Combining equations (11175,6442) yields a new equation:
% 31.97/8.88 | (683) e23 = e20
% 31.97/8.88 |
% 31.97/8.88 | Simplifying 683 yields:
% 31.97/8.88 | (684) e23 = e20
% 31.97/8.88 |
% 31.97/8.88 | Equations (684) can reduce 14 to:
% 31.97/8.88 | (537) $false
% 31.97/8.88 |
% 31.97/8.88 |-The branch is then unsatisfiable
% 31.97/8.88 |-Branch two:
% 31.97/8.88 | (6447) all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)
% 31.97/8.88 |
% 31.97/8.88 | Applying alpha-rule on (6447) yields:
% 31.97/8.88 | (6448) all_0_144_144 = e23
% 31.97/8.88 | (6449) ~ (all_0_143_143 = e22)
% 31.97/8.89 | (6450) ~ (all_0_145_145 = e23)
% 31.97/8.89 |
% 31.97/8.89 | Combining equations (9111,6448) yields a new equation:
% 31.97/8.89 | (639) e23 = e22
% 31.97/8.89 |
% 31.97/8.89 | Equations (639) can reduce 449 to:
% 31.97/8.89 | (537) $false
% 31.97/8.89 |
% 31.97/8.89 |-The branch is then unsatisfiable
% 31.97/8.89 |-Branch two:
% 31.97/8.89 | (6452) all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)
% 31.97/8.89 |
% 31.97/8.89 | Applying alpha-rule on (6452) yields:
% 31.97/8.89 | (6453) all_0_149_149 = e21
% 31.97/8.89 | (6454) ~ (all_0_148_148 = e22)
% 31.97/8.89 | (6455) ~ (all_0_150_150 = e21)
% 31.97/8.89 |
% 31.97/8.89 | Combining equations (6377,6453) yields a new equation:
% 31.97/8.89 | (664) e21 = e20
% 31.97/8.89 |
% 31.97/8.89 | Equations (664) can reduce 401 to:
% 31.97/8.89 | (537) $false
% 31.97/8.89 |
% 31.97/8.89 |-The branch is then unsatisfiable
% 31.97/8.89 |-Branch two:
% 31.97/8.89 | (6458) all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)
% 31.97/8.89 |
% 31.97/8.89 | Applying alpha-rule on (6458) yields:
% 31.97/8.89 | (6459) all_0_152_152 = e20
% 31.97/8.89 | (6460) ~ (all_0_151_151 = e22)
% 31.97/8.89 | (6461) ~ (all_0_153_153 = e20)
% 31.97/8.89 |
% 31.97/8.89 | Combining equations (7124,6459) yields a new equation:
% 31.97/8.89 | (683) e23 = e20
% 31.97/8.89 |
% 31.97/8.89 | Simplifying 683 yields:
% 31.97/8.89 | (684) e23 = e20
% 31.97/8.89 |
% 31.97/8.89 | Equations (684) can reduce 14 to:
% 31.97/8.89 | (537) $false
% 31.97/8.89 |
% 31.97/8.89 |-The branch is then unsatisfiable
% 31.97/8.89 |-Branch two:
% 31.97/8.89 | (6465) all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)
% 31.97/8.89 |
% 31.97/8.89 | Applying alpha-rule on (6465) yields:
% 31.97/8.89 | (6466) all_0_155_155 = e23
% 31.97/8.89 | (6467) ~ (all_0_154_154 = e21)
% 31.97/8.89 | (6468) ~ (all_0_156_156 = e23)
% 31.97/8.89 |
% 31.97/8.89 | Combining equations (6466,7375) yields a new equation:
% 31.97/8.89 | (683) e23 = e20
% 31.97/8.89 |
% 31.97/8.89 | Simplifying 683 yields:
% 31.97/8.89 | (684) e23 = e20
% 31.97/8.89 |
% 31.97/8.89 | Equations (684) can reduce 14 to:
% 31.97/8.89 | (537) $false
% 31.97/8.89 |
% 31.97/8.89 |-The branch is then unsatisfiable
% 31.97/8.89 |-Branch two:
% 31.97/8.89 | (6471) all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)
% 31.97/8.89 |
% 31.97/8.89 | Applying alpha-rule on (6471) yields:
% 31.97/8.89 | (6472) all_0_158_158 = e22
% 31.97/8.89 | (6473) ~ (all_0_157_157 = e21)
% 31.97/8.89 | (6474) ~ (all_0_159_159 = e22)
% 31.97/8.89 |
% 31.97/8.89 | Equations (7398) can reduce 6474 to:
% 31.97/8.89 | (537) $false
% 31.97/8.89 |
% 31.97/8.89 |-The branch is then unsatisfiable
% 31.97/8.89 |-Branch two:
% 31.97/8.89 | (6478) all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20)
% 31.97/8.89 |
% 31.97/8.89 | Applying alpha-rule on (6478) yields:
% 31.97/8.89 | (6479) all_0_163_163 = e20
% 31.97/8.89 | (6480) ~ (all_0_162_162 = e21)
% 31.97/8.89 | (6481) ~ (all_0_164_164 = e20)
% 31.97/8.89 |
% 31.97/8.89 | Combining equations (6479,6530) yields a new equation:
% 31.97/8.89 | (684) e23 = e20
% 31.97/8.89 |
% 31.97/8.89 | Equations (684) can reduce 14 to:
% 31.97/8.89 | (537) $false
% 31.97/8.89 |
% 31.97/8.89 |-The branch is then unsatisfiable
% 31.97/8.89 |-Branch two:
% 31.97/8.89 | (6483) all_0_237_237 = e21 & ~ (all_0_236_236 = e20)
% 31.97/8.89 |
% 31.97/8.89 | Applying alpha-rule on (6483) yields:
% 31.97/8.89 | (523) all_0_237_237 = e21
% 31.97/8.89 | (660) ~ (all_0_236_236 = e20)
% 31.97/8.89 |
% 31.97/8.89 | Equations (656) can reduce 660 to:
% 31.97/8.89 | (537) $false
% 31.97/8.89 |
% 31.97/8.89 |-The branch is then unsatisfiable
% 31.97/8.89 |-Branch two:
% 31.97/8.89 | (600) ~ (all_0_242_242 = e23)
% 31.97/8.89 | (601) all_0_243_243 = e23 | all_0_245_245 = e23
% 31.97/8.89 |
% 31.97/8.89 +-Applying beta-rule and splitting (6630), into two cases.
% 31.97/8.89 |-Branch one:
% 31.97/8.89 | (637) all_0_238_238 = e23
% 31.97/8.89 |
% 31.97/8.89 | Combining equations (637,536) yields a new equation:
% 31.97/8.89 | (597) e23 = e21
% 31.97/8.89 |
% 31.97/8.89 | Simplifying 597 yields:
% 31.97/8.89 | (590) e23 = e21
% 31.97/8.89 |
% 31.97/8.90 | Equations (590) can reduce 215 to:
% 31.97/8.90 | (537) $false
% 31.97/8.90 |
% 31.97/8.90 |-The branch is then unsatisfiable
% 31.97/8.90 |-Branch two:
% 31.97/8.90 | (608) ~ (all_0_238_238 = e23)
% 31.97/8.90 | (596) all_0_242_242 = e23
% 31.97/8.90 |
% 31.97/8.90 | Equations (596) can reduce 600 to:
% 31.97/8.90 | (537) $false
% 31.97/8.90 |
% 31.97/8.90 |-The branch is then unsatisfiable
% 32.03/8.90 |-Branch two:
% 32.03/8.90 | (606) ~ (all_0_235_235 = e23)
% 32.03/8.90 | (589) all_0_237_237 = e23
% 32.03/8.90 |
% 32.03/8.90 | Combining equations (523,589) yields a new equation:
% 32.03/8.90 | (590) e23 = e21
% 32.03/8.90 |
% 32.03/8.90 | Equations (590) can reduce 215 to:
% 32.03/8.90 | (537) $false
% 32.03/8.90 |
% 32.03/8.90 |-The branch is then unsatisfiable
% 32.03/8.90 |-Branch two:
% 32.03/8.90 | (6338) ~ (all_0_240_240 = e22)
% 32.03/8.90 | (6339) all_0_244_244 = e22
% 32.03/8.90 |
% 32.03/8.90 | Combining equations (581,6339) yields a new equation:
% 32.03/8.90 | (6323) e22 = e21
% 32.03/8.90 |
% 32.03/8.90 | Equations (6323) can reduce 92 to:
% 32.03/8.90 | (537) $false
% 32.03/8.90 |
% 32.03/8.90 |-The branch is then unsatisfiable
% 32.03/8.90 |-Branch two:
% 32.03/8.90 | (6314) ~ (all_0_234_234 = e22)
% 32.03/8.90 | (6917) all_0_238_238 = e22 | all_0_242_242 = e22
% 32.03/8.90 |
% 32.03/8.90 +-Applying beta-rule and splitting (6917), into two cases.
% 32.03/8.90 |-Branch one:
% 32.03/8.90 | (610) all_0_238_238 = e22
% 32.03/8.90 |
% 32.03/8.90 | Combining equations (536,610) yields a new equation:
% 32.03/8.90 | (6323) e22 = e21
% 32.03/8.90 |
% 32.03/8.90 | Equations (6323) can reduce 92 to:
% 32.03/8.90 | (537) $false
% 32.03/8.90 |
% 32.03/8.90 |-The branch is then unsatisfiable
% 32.03/8.90 |-Branch two:
% 32.03/8.90 | (6622) ~ (all_0_238_238 = e22)
% 32.03/8.90 | (6322) all_0_242_242 = e22
% 32.03/8.90 |
% 32.03/8.90 | Combining equations (6322,9928) yields a new equation:
% 32.03/8.90 | (7066) all_0_143_143 = e22
% 32.03/8.90 |
% 32.03/8.90 | Combining equations (6322,11054) yields a new equation:
% 32.03/8.90 | (7199) all_0_141_141 = e22
% 32.03/8.90 |
% 32.03/8.90 | Equations (6322) can reduce 354 to:
% 32.03/8.90 | (6314) ~ (all_0_234_234 = e22)
% 32.03/8.90 |
% 32.03/8.90 | Equations (6322) can reduce 392 to:
% 32.03/8.90 | (6663) ~ (all_0_243_243 = e22)
% 32.03/8.90 |
% 32.03/8.90 | Simplifying 6663 yields:
% 32.03/8.90 | (6287) ~ (all_0_243_243 = e22)
% 32.03/8.90 |
% 32.03/8.90 | Equations (6322) can reduce 44 to:
% 32.03/8.90 | (6343) ~ (all_0_245_245 = e22)
% 32.03/8.90 |
% 32.03/8.90 | Simplifying 6343 yields:
% 32.03/8.90 | (439) ~ (all_0_245_245 = e22)
% 32.03/8.90 |
% 32.03/8.90 | Equations (6322) can reduce 266 to:
% 32.03/8.90 | (294) ~ (e22 = e20)
% 32.03/8.90 |
% 32.03/8.90 | From (6322) and (302) follows:
% 32.03/8.90 | (9027) op2(e22, e23) = all_0_154_154
% 32.03/8.90 |
% 32.03/8.90 | From (6322) and (97) follows:
% 32.03/8.90 | (8135) op2(e22, e21) = all_0_155_155
% 32.03/8.90 |
% 32.03/8.90 | From (6322) and (165) follows:
% 32.03/8.90 | (9029) op2(e23, e22) = all_0_120_120
% 32.03/8.90 |
% 32.03/8.90 | From (6322) and (135) follows:
% 32.03/8.90 | (9030) op2(e22, e22) = all_0_121_121
% 32.03/8.90 |
% 32.03/8.90 | From (6322) and (351) follows:
% 32.03/8.90 | (11377) op2(e20, e22) = all_0_122_122
% 32.03/8.90 |
% 32.03/8.90 +-Applying beta-rule and splitting (98), into two cases.
% 32.03/8.90 |-Branch one:
% 32.03/8.90 | (604) all_0_234_234 = e23
% 32.03/8.90 |
% 32.03/8.90 | Equations (604) can reduce 466 to:
% 32.03/8.90 | (605) ~ (all_0_235_235 = e23)
% 32.03/8.90 |
% 32.03/8.90 | Simplifying 605 yields:
% 32.03/8.90 | (606) ~ (all_0_235_235 = e23)
% 32.03/8.90 |
% 32.03/8.90 | Equations (604) can reduce 475 to:
% 32.03/8.90 | (8662) ~ (all_0_236_236 = e23)
% 32.03/8.90 |
% 32.03/8.90 | Simplifying 8662 yields:
% 32.03/8.90 | (425) ~ (all_0_236_236 = e23)
% 32.03/8.90 |
% 32.03/8.90 | Equations (604) can reduce 6314 to:
% 32.03/8.90 | (449) ~ (e23 = e22)
% 32.03/8.90 |
% 32.03/8.90 | Equations (604) can reduce 501 to:
% 32.03/8.90 | (215) ~ (e23 = e21)
% 32.03/8.90 |
% 32.03/8.90 | From (604)(604) and (149) follows:
% 32.03/8.91 | (11385) op2(e23, e23) = all_0_10_10
% 32.03/8.91 |
% 32.03/8.91 | From (604) and (270) follows:
% 32.03/8.91 | (11386) op2(e23, e23) = all_0_132_132
% 32.03/8.91 |
% 32.03/8.91 | From (604) and (471) follows:
% 32.03/8.91 | (11387) op2(e23, e23) = all_0_133_133
% 32.03/8.91 |
% 32.03/8.91 | From (604) and (308) follows:
% 32.03/8.91 | (11388) op2(e23, e23) = e23
% 32.03/8.91 |
% 32.03/8.91 | From (604) and (33) follows:
% 32.03/8.91 | (11389) op2(e22, e23) = all_0_96_96
% 32.03/8.91 |
% 32.03/8.91 | From (604) and (388) follows:
% 32.03/8.91 | (609) op2(e20, e23) = all_0_98_98
% 32.03/8.91 |
% 32.03/8.91 | Instantiating formula (340) with e23, e23, all_0_132_132, all_0_10_10 and discharging atoms op2(e23, e23) = all_0_10_10, op2(e23, e23) = all_0_132_132, yields:
% 32.03/8.91 | (11391) all_0_10_10 = all_0_132_132
% 32.03/8.91 |
% 32.03/8.91 | Instantiating formula (340) with e23, e23, all_0_133_133, all_0_132_132 and discharging atoms op2(e23, e23) = all_0_132_132, op2(e23, e23) = all_0_133_133, yields:
% 32.03/8.91 | (11392) all_0_132_132 = all_0_133_133
% 32.03/8.91 |
% 32.03/8.91 | Instantiating formula (340) with e23, e23, e23, all_0_10_10 and discharging atoms op2(e23, e23) = all_0_10_10, op2(e23, e23) = e23, yields:
% 32.03/8.91 | (11393) all_0_10_10 = e23
% 32.03/8.91 |
% 32.03/8.91 | Instantiating formula (340) with e23, e22, all_0_120_120, all_0_235_235 and discharging atoms op2(e23, e22) = all_0_120_120, op2(e23, e22) = all_0_235_235, yields:
% 32.03/8.91 | (11394) all_0_120_120 = all_0_235_235
% 32.03/8.91 |
% 32.03/8.91 | Instantiating formula (340) with e22, e23, all_0_96_96, e21 and discharging atoms op2(e22, e23) = all_0_96_96, op2(e22, e23) = e21, yields:
% 32.03/8.91 | (11395) all_0_96_96 = e21
% 32.03/8.91 |
% 32.03/8.91 | Instantiating formula (340) with e22, e23, all_0_154_154, all_0_96_96 and discharging atoms op2(e22, e23) = all_0_96_96, op2(e22, e23) = all_0_154_154, yields:
% 32.03/8.91 | (11396) all_0_96_96 = all_0_154_154
% 32.03/8.91 |
% 32.03/8.91 | Instantiating formula (340) with e22, e22, all_0_121_121, all_0_239_239 and discharging atoms op2(e22, e22) = all_0_121_121, op2(e22, e22) = all_0_239_239, yields:
% 32.03/8.91 | (11397) all_0_121_121 = all_0_239_239
% 32.03/8.91 |
% 32.03/8.91 | Instantiating formula (340) with e22, e21, all_0_155_155, all_0_240_240 and discharging atoms op2(e22, e21) = all_0_155_155, op2(e22, e21) = all_0_240_240, yields:
% 32.03/8.91 | (11398) all_0_155_155 = all_0_240_240
% 32.03/8.91 |
% 32.03/8.91 | Instantiating formula (340) with e20, e23, all_0_98_98, e20 and discharging atoms op2(e20, e23) = all_0_98_98, op2(e20, e23) = e20, yields:
% 32.03/8.91 | (625) all_0_98_98 = e20
% 32.03/8.91 |
% 32.03/8.91 | Instantiating formula (340) with e20, e22, all_0_122_122, e21 and discharging atoms op2(e20, e22) = all_0_122_122, op2(e20, e22) = e21, yields:
% 32.03/8.91 | (11400) all_0_122_122 = e21
% 32.03/8.91 |
% 32.03/8.91 | Combining equations (11391,11393) yields a new equation:
% 32.03/8.91 | (11401) all_0_132_132 = e23
% 32.03/8.91 |
% 32.03/8.91 | Simplifying 11401 yields:
% 32.03/8.91 | (7059) all_0_132_132 = e23
% 32.03/8.91 |
% 32.03/8.91 | Combining equations (11396,11395) yields a new equation:
% 32.03/8.91 | (11403) all_0_154_154 = e21
% 32.03/8.91 |
% 32.03/8.91 | Simplifying 11403 yields:
% 32.03/8.91 | (516) all_0_154_154 = e21
% 32.03/8.91 |
% 32.03/8.91 | Combining equations (11392,7059) yields a new equation:
% 32.03/8.91 | (11257) all_0_133_133 = e23
% 32.03/8.91 |
% 32.03/8.91 | Simplifying 11257 yields:
% 32.03/8.91 | (6763) all_0_133_133 = e23
% 32.03/8.91 |
% 32.03/8.91 | From (11394) and (9029) follows:
% 32.03/8.92 | (436) op2(e23, e22) = all_0_235_235
% 32.03/8.92 |
% 32.03/8.92 | From (516) and (9027) follows:
% 32.03/8.92 | (9923) op2(e22, e23) = e21
% 32.03/8.92 |
% 32.03/8.92 | From (11397) and (9030) follows:
% 32.03/8.92 | (256) op2(e22, e22) = all_0_239_239
% 32.03/8.92 |
% 32.03/8.92 | From (625) and (609) follows:
% 32.03/8.92 | (253) op2(e20, e23) = e20
% 32.03/8.92 |
% 32.03/8.92 | From (11400) and (11377) follows:
% 32.03/8.92 | (39) op2(e20, e22) = e21
% 32.03/8.92 |
% 32.03/8.92 +-Applying beta-rule and splitting (397), into two cases.
% 32.03/8.92 |-Branch one:
% 32.03/8.92 | (637) all_0_238_238 = e23
% 32.03/8.92 |
% 32.03/8.92 | Combining equations (536,637) yields a new equation:
% 32.03/8.92 | (590) e23 = e21
% 32.03/8.92 |
% 32.03/8.92 | Equations (590) can reduce 215 to:
% 32.03/8.92 | (537) $false
% 32.03/8.92 |
% 32.03/8.92 |-The branch is then unsatisfiable
% 32.03/8.92 |-Branch two:
% 32.03/8.92 | (608) ~ (all_0_238_238 = e23)
% 32.03/8.92 | (642) all_0_239_239 = e23 | all_0_241_241 = e23
% 32.03/8.92 |
% 32.03/8.92 | Equations (536) can reduce 608 to:
% 32.03/8.92 | (548) ~ (e23 = e21)
% 32.03/8.92 |
% 32.03/8.92 | Simplifying 548 yields:
% 32.03/8.92 | (215) ~ (e23 = e21)
% 32.03/8.92 |
% 32.03/8.92 +-Applying beta-rule and splitting (448), into two cases.
% 32.03/8.92 |-Branch one:
% 32.03/8.92 | (633) all_0_235_235 = e23
% 32.03/8.92 |
% 32.03/8.92 | Equations (633) can reduce 606 to:
% 32.03/8.92 | (537) $false
% 32.03/8.92 |
% 32.03/8.92 |-The branch is then unsatisfiable
% 32.03/8.92 |-Branch two:
% 32.03/8.92 | (606) ~ (all_0_235_235 = e23)
% 32.03/8.92 | (636) all_0_239_239 = e23 | all_0_243_243 = e23
% 32.03/8.92 |
% 32.03/8.92 +-Applying beta-rule and splitting (394), into two cases.
% 32.03/8.92 |-Branch one:
% 32.03/8.92 | (689) all_0_243_243 = e22
% 32.03/8.92 |
% 32.03/8.92 | Equations (689) can reduce 6287 to:
% 32.03/8.92 | (537) $false
% 32.03/8.92 |
% 32.03/8.92 |-The branch is then unsatisfiable
% 32.03/8.92 |-Branch two:
% 32.03/8.92 | (6287) ~ (all_0_243_243 = e22)
% 32.03/8.92 | (6288) all_0_243_243 = e23 | all_0_243_243 = e20
% 32.03/8.92 |
% 32.03/8.92 +-Applying beta-rule and splitting (390), into two cases.
% 32.03/8.92 |-Branch one:
% 32.03/8.92 | (596) all_0_242_242 = e23
% 32.03/8.92 |
% 32.03/8.92 | Combining equations (6322,596) yields a new equation:
% 32.03/8.92 | (639) e23 = e22
% 32.03/8.92 |
% 32.03/8.92 | Equations (639) can reduce 449 to:
% 32.03/8.92 | (537) $false
% 32.03/8.92 |
% 32.03/8.92 |-The branch is then unsatisfiable
% 32.03/8.92 |-Branch two:
% 32.03/8.92 | (600) ~ (all_0_242_242 = e23)
% 32.03/8.92 | (601) all_0_243_243 = e23 | all_0_245_245 = e23
% 32.03/8.92 |
% 32.03/8.92 | Equations (6322) can reduce 600 to:
% 32.03/8.92 | (613) ~ (e23 = e22)
% 32.03/8.92 |
% 32.03/8.92 | Simplifying 613 yields:
% 32.03/8.92 | (449) ~ (e23 = e22)
% 32.03/8.92 |
% 32.03/8.92 +-Applying beta-rule and splitting (281), into two cases.
% 32.03/8.92 |-Branch one:
% 32.03/8.92 | (647) all_0_235_235 = e22
% 32.03/8.92 |
% 32.03/8.92 | Equations (647) can reduce 415 to:
% 32.03/8.92 | (6317) ~ (all_0_239_239 = e22)
% 32.03/8.92 |
% 32.03/8.92 | Simplifying 6317 yields:
% 32.03/8.92 | (6318) ~ (all_0_239_239 = e22)
% 32.03/8.92 |
% 32.03/8.92 | Equations (647) can reduce 212 to:
% 32.03/8.92 | (6663) ~ (all_0_243_243 = e22)
% 32.03/8.92 |
% 32.03/8.92 | Simplifying 6663 yields:
% 32.03/8.92 | (6287) ~ (all_0_243_243 = e22)
% 32.03/8.92 |
% 32.03/8.92 | From (647) and (325) follows:
% 32.03/8.92 | (8997) op2(e22, e23) = all_0_135_135
% 32.03/8.92 |
% 32.03/8.92 | From (647) and (220) follows:
% 32.03/8.92 | (7660) op2(e22, e22) = all_0_134_134
% 32.03/8.92 |
% 32.03/8.92 | From (647) and (313) follows:
% 32.03/8.92 | (6320) op2(e23, e22) = all_0_136_136
% 32.03/8.92 |
% 32.03/8.92 | From (647) and (436) follows:
% 32.03/8.92 | (6321) op2(e23, e22) = e22
% 32.03/8.92 |
% 32.03/8.92 | From (647) and (163) follows:
% 32.03/8.92 | (7663) op2(e22, e22) = all_0_99_99
% 32.03/8.92 |
% 32.03/8.92 | From (647) and (417) follows:
% 32.03/8.92 | (11444) op2(e20, e22) = all_0_101_101
% 32.03/8.92 |
% 32.03/8.92 +-Applying beta-rule and splitting (6652), into two cases.
% 32.03/8.92 |-Branch one:
% 32.03/8.92 | (6372) all_0_239_239 = e22
% 32.03/8.92 |
% 32.03/8.92 | Equations (6372) can reduce 6318 to:
% 32.03/8.92 | (537) $false
% 32.03/8.92 |
% 32.03/8.92 |-The branch is then unsatisfiable
% 32.03/8.92 |-Branch two:
% 32.03/8.92 | (6318) ~ (all_0_239_239 = e22)
% 32.03/8.92 | (6335) all_0_240_240 = e22
% 32.03/8.92 |
% 32.03/8.92 | Combining equations (6335,11398) yields a new equation:
% 32.03/8.92 | (6340) all_0_155_155 = e22
% 32.03/8.92 |
% 32.03/8.92 | Equations (6335) can reduce 79 to:
% 32.03/8.92 | (6308) ~ (all_0_236_236 = e22)
% 32.03/8.92 |
% 32.03/8.92 | Equations (6335) can reduce 84 to:
% 32.03/8.92 | (6318) ~ (all_0_239_239 = e22)
% 32.03/8.92 |
% 32.03/8.92 | Equations (6335) can reduce 186 to:
% 32.03/8.92 | (611) ~ (all_0_241_241 = e22)
% 32.03/8.92 |
% 32.03/8.92 | Simplifying 611 yields:
% 32.03/8.92 | (152) ~ (all_0_241_241 = e22)
% 32.03/8.92 |
% 32.03/8.92 | Equations (6335) can reduce 6938 to:
% 32.03/8.92 | (92) ~ (e22 = e21)
% 32.03/8.92 |
% 32.03/8.92 | From (6335) and (426) follows:
% 32.03/8.92 | (7396) op2(e22, e22) = all_0_149_149
% 32.03/8.92 |
% 32.03/8.92 | From (6335) and (105) follows:
% 32.03/8.92 | (9069) op2(e23, e22) = all_0_114_114
% 32.03/8.92 |
% 32.03/8.92 | From (6335) and (35) follows:
% 32.03/8.93 | (10108) op2(e20, e22) = all_0_116_116
% 32.03/8.93 |
% 32.03/8.93 +-Applying beta-rule and splitting (157), into two cases.
% 32.03/8.93 |-Branch one:
% 32.03/8.93 | (651) all_0_235_235 = e20
% 32.03/8.93 |
% 32.03/8.93 | Combining equations (651,647) yields a new equation:
% 32.03/8.93 | (658) e22 = e20
% 32.03/8.93 |
% 32.03/8.93 | Equations (658) can reduce 294 to:
% 32.03/8.93 | (537) $false
% 32.03/8.93 |
% 32.03/8.93 |-The branch is then unsatisfiable
% 32.03/8.93 |-Branch two:
% 32.03/8.93 | (6297) ~ (all_0_235_235 = e20)
% 32.03/8.93 | (6298) all_0_236_236 = e20 | all_0_237_237 = e20
% 32.03/8.93 |
% 32.03/8.93 +-Applying beta-rule and splitting (6298), into two cases.
% 32.03/8.93 |-Branch one:
% 32.03/8.93 | (656) all_0_236_236 = e20
% 32.03/8.93 |
% 32.03/8.93 | Equations (656) can reduce 425 to:
% 32.03/8.93 | (671) ~ (e23 = e20)
% 32.03/8.93 |
% 32.03/8.93 | Simplifying 671 yields:
% 32.03/8.93 | (14) ~ (e23 = e20)
% 32.03/8.93 |
% 32.03/8.93 | Equations (656) can reduce 6308 to:
% 32.03/8.93 | (652) ~ (e22 = e20)
% 32.03/8.93 |
% 32.03/8.93 | Simplifying 652 yields:
% 32.03/8.93 | (294) ~ (e22 = e20)
% 32.03/8.93 |
% 32.03/8.93 | Equations (656) can reduce 541 to:
% 32.03/8.93 | (654) ~ (e21 = e20)
% 32.03/8.93 |
% 32.03/8.93 | Simplifying 654 yields:
% 32.03/8.93 | (401) ~ (e21 = e20)
% 32.03/8.93 |
% 32.03/8.93 | From (656) and (285) follows:
% 32.03/8.93 | (6350) op2(e20, e23) = all_0_138_138
% 32.03/8.93 |
% 32.03/8.93 | From (656) and (132) follows:
% 32.03/8.93 | (6351) op2(e20, e21) = all_0_137_137
% 32.03/8.93 |
% 32.03/8.93 | From (656) and (81) follows:
% 32.03/8.93 | (6352) op2(e23, e20) = all_0_139_139
% 32.03/8.93 |
% 32.03/8.93 | From (656) and (451) follows:
% 32.03/8.93 | (6353) op2(e23, e21) = e20
% 32.03/8.93 |
% 32.03/8.93 | Instantiating formula (340) with e23, e22, all_0_136_136, all_0_114_114 and discharging atoms op2(e23, e22) = all_0_114_114, op2(e23, e22) = all_0_136_136, yields:
% 32.03/8.93 | (9072) all_0_114_114 = all_0_136_136
% 32.03/8.93 |
% 32.03/8.93 | Instantiating formula (340) with e23, e22, e22, all_0_114_114 and discharging atoms op2(e23, e22) = all_0_114_114, op2(e23, e22) = e22, yields:
% 32.03/8.93 | (11475) all_0_114_114 = e22
% 32.03/8.93 |
% 32.03/8.93 | Instantiating formula (340) with e23, e20, all_0_139_139, e21 and discharging atoms op2(e23, e20) = all_0_139_139, op2(e23, e20) = e21, yields:
% 32.03/8.93 | (6355) all_0_139_139 = e21
% 32.03/8.93 |
% 32.03/8.93 | Instantiating formula (340) with e22, e23, all_0_135_135, e21 and discharging atoms op2(e22, e23) = all_0_135_135, op2(e22, e23) = e21, yields:
% 32.03/8.93 | (8733) all_0_135_135 = e21
% 32.03/8.93 |
% 32.03/8.93 | Instantiating formula (340) with e22, e22, all_0_134_134, all_0_239_239 and discharging atoms op2(e22, e22) = all_0_134_134, op2(e22, e22) = all_0_239_239, yields:
% 32.03/8.93 | (11478) all_0_134_134 = all_0_239_239
% 32.03/8.93 |
% 32.03/8.93 | Instantiating formula (340) with e22, e22, all_0_134_134, all_0_99_99 and discharging atoms op2(e22, e22) = all_0_99_99, op2(e22, e22) = all_0_134_134, yields:
% 32.03/8.93 | (7728) all_0_99_99 = all_0_134_134
% 32.03/8.93 |
% 32.03/8.93 | Instantiating formula (340) with e22, e22, all_0_149_149, all_0_99_99 and discharging atoms op2(e22, e22) = all_0_99_99, op2(e22, e22) = all_0_149_149, yields:
% 32.03/8.93 | (9083) all_0_99_99 = all_0_149_149
% 32.03/8.93 |
% 32.03/8.93 | Instantiating formula (340) with e20, e23, all_0_138_138, e20 and discharging atoms op2(e20, e23) = all_0_138_138, op2(e20, e23) = e20, yields:
% 32.03/8.93 | (6357) all_0_138_138 = e20
% 32.03/8.93 |
% 32.03/8.93 | Instantiating formula (340) with e20, e22, all_0_101_101, e21 and discharging atoms op2(e20, e22) = all_0_101_101, op2(e20, e22) = e21, yields:
% 32.03/8.93 | (11482) all_0_101_101 = e21
% 32.03/8.93 |
% 32.03/8.93 | Instantiating formula (340) with e20, e22, all_0_116_116, all_0_101_101 and discharging atoms op2(e20, e22) = all_0_101_101, op2(e20, e22) = all_0_116_116, yields:
% 32.03/8.93 | (11483) all_0_101_101 = all_0_116_116
% 32.03/8.93 |
% 32.03/8.93 | Instantiating formula (340) with e20, e21, all_0_137_137, e23 and discharging atoms op2(e20, e21) = all_0_137_137, op2(e20, e21) = e23, yields:
% 32.03/8.93 | (6358) all_0_137_137 = e23
% 32.03/8.93 |
% 32.03/8.93 | Combining equations (7728,9083) yields a new equation:
% 32.03/8.93 | (10880) all_0_134_134 = all_0_149_149
% 32.03/8.93 |
% 32.03/8.93 | Simplifying 10880 yields:
% 32.03/8.93 | (9101) all_0_134_134 = all_0_149_149
% 32.03/8.93 |
% 32.03/8.93 | Combining equations (11483,11482) yields a new equation:
% 32.03/8.93 | (11487) all_0_116_116 = e21
% 32.03/8.93 |
% 32.03/8.93 | Simplifying 11487 yields:
% 32.03/8.93 | (10118) all_0_116_116 = e21
% 32.03/8.93 |
% 32.03/8.93 | Combining equations (9072,11475) yields a new equation:
% 32.03/8.93 | (7345) all_0_136_136 = e22
% 32.03/8.93 |
% 32.03/8.93 | Simplifying 7345 yields:
% 32.03/8.93 | (6354) all_0_136_136 = e22
% 32.03/8.93 |
% 32.03/8.94 | Combining equations (11478,9101) yields a new equation:
% 32.03/8.94 | (10111) all_0_149_149 = all_0_239_239
% 32.03/8.94 |
% 32.03/8.94 | From (6354) and (6320) follows:
% 32.03/8.94 | (6321) op2(e23, e22) = e22
% 32.03/8.94 |
% 32.03/8.94 | From (6355) and (6352) follows:
% 32.03/8.94 | (534) op2(e23, e20) = e21
% 32.03/8.94 |
% 32.03/8.94 | From (10118) and (10108) follows:
% 32.03/8.94 | (39) op2(e20, e22) = e21
% 32.03/8.94 |
% 32.03/8.94 | From (6358) and (6351) follows:
% 32.03/8.94 | (323) op2(e20, e21) = e23
% 32.03/8.94 |
% 32.03/8.94 +-Applying beta-rule and splitting (204), into two cases.
% 32.03/8.94 |-Branch one:
% 32.03/8.94 | (589) all_0_237_237 = e23
% 32.03/8.94 |
% 32.03/8.94 | Combining equations (523,589) yields a new equation:
% 32.03/8.94 | (590) e23 = e21
% 32.03/8.94 |
% 32.03/8.94 | Equations (590) can reduce 215 to:
% 32.03/8.94 | (537) $false
% 32.03/8.94 |
% 32.03/8.94 |-The branch is then unsatisfiable
% 32.03/8.94 |-Branch two:
% 32.03/8.94 | (592) ~ (all_0_237_237 = e23)
% 32.03/8.94 | (593) all_0_241_241 = e23 | all_0_245_245 = e23
% 32.03/8.94 |
% 32.03/8.94 +-Applying beta-rule and splitting (82), into two cases.
% 32.03/8.94 |-Branch one:
% 32.03/8.94 | (6372) all_0_239_239 = e22
% 32.03/8.94 |
% 32.03/8.94 | Equations (6372) can reduce 6318 to:
% 32.03/8.94 | (537) $false
% 32.03/8.94 |
% 32.03/8.94 |-The branch is then unsatisfiable
% 32.03/8.94 |-Branch two:
% 32.03/8.94 | (6318) ~ (all_0_239_239 = e22)
% 32.03/8.94 | (6375) all_0_239_239 = e23 | all_0_239_239 = e20
% 32.03/8.94 |
% 32.03/8.94 +-Applying beta-rule and splitting (188), into two cases.
% 32.03/8.94 |-Branch one:
% 32.03/8.94 | (6292) all_0_243_243 = e20
% 32.03/8.94 |
% 32.03/8.94 | Combining equations (6292,9929) yields a new equation:
% 32.03/8.94 | (6506) all_0_144_144 = e20
% 32.03/8.94 |
% 32.03/8.94 | Equations (6292) can reduce 32 to:
% 32.03/8.94 | (6378) ~ (all_0_239_239 = e20)
% 32.03/8.94 |
% 32.03/8.94 | Equations (6292) can reduce 6287 to:
% 32.03/8.94 | (652) ~ (e22 = e20)
% 32.03/8.94 |
% 32.03/8.94 | Simplifying 652 yields:
% 32.03/8.94 | (294) ~ (e22 = e20)
% 32.03/8.94 |
% 32.03/8.94 | From (6292) and (373) follows:
% 32.03/8.94 | (6381) op2(e20, e22) = all_0_157_157
% 32.03/8.94 |
% 32.03/8.94 | From (6292) and (258) follows:
% 32.03/8.94 | (6382) op2(e20, e21) = all_0_158_158
% 32.03/8.94 |
% 32.03/8.94 +-Applying beta-rule and splitting (636), into two cases.
% 32.03/8.94 |-Branch one:
% 32.03/8.94 | (692) all_0_239_239 = e23
% 32.03/8.94 |
% 32.03/8.94 | Combining equations (692,10111) yields a new equation:
% 32.03/8.94 | (6499) all_0_149_149 = e23
% 32.03/8.94 |
% 32.03/8.94 | Equations (692) can reduce 6378 to:
% 32.03/8.94 | (14) ~ (e23 = e20)
% 32.03/8.94 |
% 32.03/8.94 +-Applying beta-rule and splitting (234), into two cases.
% 32.03/8.94 |-Branch one:
% 32.03/8.94 | (6389) all_0_239_239 = e20
% 32.03/8.94 |
% 32.03/8.94 | Combining equations (6389,692) yields a new equation:
% 32.03/8.94 | (684) e23 = e20
% 32.03/8.94 |
% 32.03/8.94 | Equations (684) can reduce 14 to:
% 32.03/8.94 | (537) $false
% 32.03/8.94 |
% 32.03/8.94 |-The branch is then unsatisfiable
% 32.03/8.94 |-Branch two:
% 32.03/8.94 | (6378) ~ (all_0_239_239 = e20)
% 32.03/8.94 | (6392) all_0_240_240 = e20 | all_0_241_241 = e20
% 32.03/8.94 |
% 32.03/8.94 | Equations (692) can reduce 6378 to:
% 32.03/8.94 | (14) ~ (e23 = e20)
% 32.03/8.94 |
% 32.03/8.94 +-Applying beta-rule and splitting (601), into two cases.
% 32.03/8.94 |-Branch one:
% 32.03/8.94 | (6284) all_0_243_243 = e23
% 32.03/8.94 |
% 32.03/8.94 | Combining equations (6284,6292) yields a new equation:
% 32.03/8.94 | (683) e23 = e20
% 32.03/8.94 |
% 32.03/8.94 | Simplifying 683 yields:
% 32.03/8.94 | (684) e23 = e20
% 32.03/8.94 |
% 32.03/8.94 | Equations (684) can reduce 14 to:
% 32.03/8.94 | (537) $false
% 32.03/8.94 |
% 32.03/8.94 |-The branch is then unsatisfiable
% 32.03/8.94 |-Branch two:
% 32.03/8.94 | (688) ~ (all_0_243_243 = e23)
% 32.03/8.94 | (687) all_0_245_245 = e23
% 32.03/8.94 |
% 32.03/8.94 | Equations (687) can reduce 137 to:
% 32.03/8.94 | (686) ~ (all_0_241_241 = e23)
% 32.03/8.94 |
% 32.03/8.94 | Equations (687) can reduce 439 to:
% 32.03/8.94 | (449) ~ (e23 = e22)
% 32.03/8.94 |
% 32.03/8.94 | Equations (687) can reduce 506 to:
% 32.03/8.94 | (215) ~ (e23 = e21)
% 32.03/8.94 |
% 32.03/8.94 | From (687) and (57) follows:
% 32.03/8.94 | (6414) op2(e23, e20) = all_0_162_162
% 32.03/8.94 |
% 32.03/8.94 +-Applying beta-rule and splitting (6392), into two cases.
% 32.03/8.94 |-Branch one:
% 32.03/8.94 | (662) all_0_240_240 = e20
% 32.03/8.94 |
% 32.03/8.94 | Combining equations (6335,662) yields a new equation:
% 32.03/8.94 | (657) e22 = e20
% 32.03/8.94 |
% 32.03/8.94 | Simplifying 657 yields:
% 32.03/8.94 | (658) e22 = e20
% 32.03/8.94 |
% 32.03/8.94 | Equations (658) can reduce 294 to:
% 32.03/8.94 | (537) $false
% 32.03/8.94 |
% 32.03/8.94 |-The branch is then unsatisfiable
% 32.03/8.94 |-Branch two:
% 32.03/8.94 | (666) ~ (all_0_240_240 = e20)
% 32.03/8.94 | (681) all_0_241_241 = e20
% 32.03/8.94 |
% 32.03/8.94 | Equations (681) can reduce 686 to:
% 32.03/8.94 | (671) ~ (e23 = e20)
% 32.03/8.94 |
% 32.03/8.94 | Simplifying 671 yields:
% 32.03/8.94 | (14) ~ (e23 = e20)
% 32.03/8.94 |
% 32.03/8.94 | Equations (681) can reduce 152 to:
% 32.03/8.94 | (652) ~ (e22 = e20)
% 32.03/8.94 |
% 32.03/8.94 | Simplifying 652 yields:
% 32.03/8.94 | (294) ~ (e22 = e20)
% 32.03/8.94 |
% 32.03/8.94 | Equations (681) can reduce 527 to:
% 32.03/8.94 | (654) ~ (e21 = e20)
% 32.03/8.94 |
% 32.03/8.94 | Simplifying 654 yields:
% 32.03/8.94 | (401) ~ (e21 = e20)
% 32.03/8.94 |
% 32.03/8.94 | From (681) and (463) follows:
% 32.03/8.94 | (6407) op2(e20, e22) = all_0_152_152
% 32.03/8.94 |
% 32.03/8.94 | Instantiating formula (340) with e23, e20, all_0_162_162, e21 and discharging atoms op2(e23, e20) = all_0_162_162, op2(e23, e20) = e21, yields:
% 32.03/8.94 | (6415) all_0_162_162 = e21
% 32.03/8.94 |
% 32.03/8.94 | Instantiating formula (340) with e20, e22, all_0_152_152, e21 and discharging atoms op2(e20, e22) = all_0_152_152, op2(e20, e22) = e21, yields:
% 32.03/8.94 | (6416) all_0_152_152 = e21
% 32.03/8.94 |
% 32.03/8.94 | Instantiating formula (340) with e20, e22, all_0_157_157, all_0_152_152 and discharging atoms op2(e20, e22) = all_0_152_152, op2(e20, e22) = all_0_157_157, yields:
% 32.03/8.94 | (6417) all_0_152_152 = all_0_157_157
% 32.03/8.94 |
% 32.03/8.94 | Instantiating formula (340) with e20, e21, all_0_158_158, e23 and discharging atoms op2(e20, e21) = all_0_158_158, op2(e20, e21) = e23, yields:
% 32.03/8.94 | (6418) all_0_158_158 = e23
% 32.03/8.94 |
% 32.03/8.95 | Combining equations (6416,6417) yields a new equation:
% 32.03/8.95 | (6419) all_0_157_157 = e21
% 32.03/8.95 |
% 32.03/8.95 | Combining equations (6419,6417) yields a new equation:
% 32.03/8.95 | (6416) all_0_152_152 = e21
% 32.03/8.95 |
% 32.03/8.95 +-Applying beta-rule and splitting (69), into two cases.
% 32.03/8.95 |-Branch one:
% 32.03/8.95 | (6421) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)) | (all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20))
% 32.03/8.95 |
% 32.03/8.95 +-Applying beta-rule and splitting (6421), into two cases.
% 32.03/8.95 |-Branch one:
% 32.03/8.95 | (6422) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22))
% 32.03/8.95 |
% 32.03/8.95 +-Applying beta-rule and splitting (6422), into two cases.
% 32.03/8.95 |-Branch one:
% 32.03/8.95 | (6423) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23))
% 32.03/8.95 |
% 32.03/8.95 +-Applying beta-rule and splitting (6423), into two cases.
% 32.03/8.95 |-Branch one:
% 32.03/8.95 | (6424) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20))
% 32.03/8.95 |
% 32.03/8.95 +-Applying beta-rule and splitting (6424), into two cases.
% 32.03/8.95 |-Branch one:
% 32.03/8.95 | (6425) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21))
% 32.03/8.95 |
% 32.03/8.95 +-Applying beta-rule and splitting (6425), into two cases.
% 32.03/8.95 |-Branch one:
% 32.03/8.95 | (6426) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23))
% 32.03/8.95 |
% 32.03/8.95 +-Applying beta-rule and splitting (6426), into two cases.
% 32.03/8.95 |-Branch one:
% 32.03/8.95 | (6427) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20))
% 32.03/8.95 |
% 32.03/8.95 +-Applying beta-rule and splitting (6427), into two cases.
% 32.03/8.95 |-Branch one:
% 32.03/8.95 | (6428) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21))
% 32.03/8.95 |
% 32.03/8.95 +-Applying beta-rule and splitting (6428), into two cases.
% 32.03/8.95 |-Branch one:
% 32.03/8.95 | (6429) all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)
% 32.03/8.95 |
% 32.03/8.95 | Applying alpha-rule on (6429) yields:
% 32.03/8.95 | (6430) all_0_135_135 = e22
% 32.03/8.95 | (6431) ~ (all_0_134_134 = e23)
% 32.03/8.95 | (6432) ~ (all_0_136_136 = e22)
% 32.03/8.95 |
% 32.03/8.95 | Combining equations (8733,6430) yields a new equation:
% 32.03/8.95 | (6323) e22 = e21
% 32.03/8.95 |
% 32.03/8.95 | Equations (6323) can reduce 92 to:
% 32.03/8.95 | (537) $false
% 32.03/8.95 |
% 32.03/8.95 |-The branch is then unsatisfiable
% 32.03/8.95 |-Branch two:
% 32.03/8.95 | (6434) all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)
% 32.03/8.95 |
% 32.03/8.95 | Applying alpha-rule on (6434) yields:
% 32.03/8.95 | (6435) all_0_138_138 = e21
% 32.03/8.95 | (6436) ~ (all_0_137_137 = e23)
% 32.03/8.95 | (6437) ~ (all_0_139_139 = e21)
% 32.03/8.95 |
% 32.03/8.95 | Combining equations (6435,6357) yields a new equation:
% 32.03/8.95 | (663) e21 = e20
% 32.03/8.95 |
% 32.03/8.95 | Simplifying 663 yields:
% 32.03/8.95 | (664) e21 = e20
% 32.03/8.95 |
% 32.03/8.95 | Equations (664) can reduce 401 to:
% 32.03/8.95 | (537) $false
% 32.03/8.95 |
% 32.03/8.95 |-The branch is then unsatisfiable
% 32.03/8.95 |-Branch two:
% 32.03/8.95 | (6441) all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)
% 32.03/8.95 |
% 32.03/8.95 | Applying alpha-rule on (6441) yields:
% 32.03/8.95 | (6442) all_0_141_141 = e20
% 32.03/8.95 | (6443) ~ (all_0_140_140 = e23)
% 32.03/8.95 | (6444) ~ (all_0_142_142 = e20)
% 32.03/8.95 |
% 32.03/8.95 | Combining equations (7199,6442) yields a new equation:
% 32.03/8.95 | (657) e22 = e20
% 32.03/8.95 |
% 32.03/8.95 | Simplifying 657 yields:
% 32.03/8.95 | (658) e22 = e20
% 32.03/8.95 |
% 32.03/8.95 | Equations (658) can reduce 294 to:
% 32.03/8.95 | (537) $false
% 32.03/8.95 |
% 32.03/8.95 |-The branch is then unsatisfiable
% 32.03/8.95 |-Branch two:
% 32.03/8.95 | (6447) all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)
% 32.03/8.95 |
% 32.03/8.95 | Applying alpha-rule on (6447) yields:
% 32.03/8.95 | (6448) all_0_144_144 = e23
% 32.03/8.95 | (6449) ~ (all_0_143_143 = e22)
% 32.03/8.95 | (6450) ~ (all_0_145_145 = e23)
% 32.03/8.95 |
% 32.03/8.95 | Combining equations (6506,6448) yields a new equation:
% 32.03/8.95 | (684) e23 = e20
% 32.03/8.95 |
% 32.03/8.95 | Equations (684) can reduce 14 to:
% 32.03/8.95 | (537) $false
% 32.03/8.95 |
% 32.03/8.95 |-The branch is then unsatisfiable
% 32.03/8.96 |-Branch two:
% 32.03/8.96 | (6452) all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)
% 32.03/8.96 |
% 32.03/8.96 | Applying alpha-rule on (6452) yields:
% 32.03/8.96 | (6453) all_0_149_149 = e21
% 32.03/8.96 | (6454) ~ (all_0_148_148 = e22)
% 32.03/8.96 | (6455) ~ (all_0_150_150 = e21)
% 32.03/8.96 |
% 32.03/8.96 | Combining equations (6453,6499) yields a new equation:
% 32.03/8.96 | (590) e23 = e21
% 32.03/8.96 |
% 32.03/8.96 | Equations (590) can reduce 215 to:
% 32.03/8.96 | (537) $false
% 32.03/8.96 |
% 32.03/8.96 |-The branch is then unsatisfiable
% 32.03/8.96 |-Branch two:
% 32.03/8.96 | (6458) all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)
% 32.03/8.96 |
% 32.03/8.96 | Applying alpha-rule on (6458) yields:
% 32.03/8.96 | (6459) all_0_152_152 = e20
% 32.03/8.96 | (6460) ~ (all_0_151_151 = e22)
% 32.03/8.96 | (6461) ~ (all_0_153_153 = e20)
% 32.03/8.96 |
% 32.03/8.96 | Combining equations (6416,6459) yields a new equation:
% 32.03/8.96 | (663) e21 = e20
% 32.03/8.96 |
% 32.03/8.96 | Simplifying 663 yields:
% 32.03/8.96 | (664) e21 = e20
% 32.03/8.96 |
% 32.03/8.96 | Equations (664) can reduce 401 to:
% 32.03/8.96 | (537) $false
% 32.03/8.96 |
% 32.03/8.96 |-The branch is then unsatisfiable
% 32.03/8.96 |-Branch two:
% 32.03/8.96 | (6465) all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)
% 32.03/8.96 |
% 32.03/8.96 | Applying alpha-rule on (6465) yields:
% 32.03/8.96 | (6466) all_0_155_155 = e23
% 32.03/8.96 | (6467) ~ (all_0_154_154 = e21)
% 32.03/8.96 | (6468) ~ (all_0_156_156 = e23)
% 32.03/8.96 |
% 32.03/8.96 | Combining equations (6340,6466) yields a new equation:
% 32.03/8.96 | (639) e23 = e22
% 32.03/8.96 |
% 32.03/8.96 | Equations (639) can reduce 449 to:
% 32.03/8.96 | (537) $false
% 32.03/8.96 |
% 32.03/8.96 |-The branch is then unsatisfiable
% 32.03/8.96 |-Branch two:
% 32.03/8.96 | (6471) all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)
% 32.03/8.96 |
% 32.03/8.96 | Applying alpha-rule on (6471) yields:
% 32.03/8.96 | (6472) all_0_158_158 = e22
% 32.03/8.96 | (6473) ~ (all_0_157_157 = e21)
% 32.03/8.96 | (6474) ~ (all_0_159_159 = e22)
% 32.03/8.96 |
% 32.03/8.96 | Combining equations (6418,6472) yields a new equation:
% 32.03/8.96 | (638) e23 = e22
% 32.03/8.96 |
% 32.03/8.96 | Simplifying 638 yields:
% 32.03/8.96 | (639) e23 = e22
% 32.03/8.96 |
% 32.03/8.96 | Equations (639) can reduce 449 to:
% 32.03/8.96 | (537) $false
% 32.03/8.96 |
% 32.03/8.96 |-The branch is then unsatisfiable
% 32.03/8.96 |-Branch two:
% 32.03/8.96 | (6478) all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20)
% 32.03/8.96 |
% 32.03/8.96 | Applying alpha-rule on (6478) yields:
% 32.03/8.96 | (6479) all_0_163_163 = e20
% 32.03/8.96 | (6480) ~ (all_0_162_162 = e21)
% 32.03/8.96 | (6481) ~ (all_0_164_164 = e20)
% 32.03/8.96 |
% 32.03/8.96 | Equations (6415) can reduce 6480 to:
% 32.03/8.96 | (537) $false
% 32.03/8.96 |
% 32.03/8.96 |-The branch is then unsatisfiable
% 32.03/8.96 |-Branch two:
% 32.03/8.96 | (6483) all_0_237_237 = e21 & ~ (all_0_236_236 = e20)
% 32.03/8.96 |
% 32.03/8.96 | Applying alpha-rule on (6483) yields:
% 32.03/8.96 | (523) all_0_237_237 = e21
% 32.03/8.96 | (660) ~ (all_0_236_236 = e20)
% 32.03/8.96 |
% 32.03/8.96 | Equations (656) can reduce 660 to:
% 32.03/8.96 | (537) $false
% 32.03/8.96 |
% 32.03/8.96 |-The branch is then unsatisfiable
% 32.03/8.96 |-Branch two:
% 32.03/8.96 | (6283) ~ (all_0_239_239 = e23)
% 32.03/8.96 | (6284) all_0_243_243 = e23
% 32.03/8.96 |
% 32.03/8.96 | Combining equations (6292,6284) yields a new equation:
% 32.03/8.96 | (684) e23 = e20
% 32.03/8.96 |
% 32.03/8.96 | Equations (684) can reduce 14 to:
% 32.03/8.96 | (537) $false
% 32.03/8.96 |
% 32.03/8.96 |-The branch is then unsatisfiable
% 32.03/8.96 |-Branch two:
% 32.03/8.96 | (668) ~ (all_0_243_243 = e20)
% 32.03/8.97 | (6491) all_0_244_244 = e20 | all_0_245_245 = e20
% 32.03/8.97 |
% 32.03/8.97 +-Applying beta-rule and splitting (365), into two cases.
% 32.03/8.97 |-Branch one:
% 32.03/8.97 | (651) all_0_235_235 = e20
% 32.03/8.97 |
% 32.03/8.97 | Combining equations (651,647) yields a new equation:
% 32.03/8.97 | (658) e22 = e20
% 32.03/8.97 |
% 32.03/8.97 | Equations (658) can reduce 294 to:
% 32.03/8.97 | (537) $false
% 32.03/8.97 |
% 32.03/8.97 |-The branch is then unsatisfiable
% 32.03/8.97 |-Branch two:
% 32.03/8.97 | (6297) ~ (all_0_235_235 = e20)
% 32.03/8.97 | (6497) all_0_239_239 = e20 | all_0_243_243 = e20
% 32.03/8.97 |
% 32.03/8.97 +-Applying beta-rule and splitting (6491), into two cases.
% 32.03/8.97 |-Branch one:
% 32.03/8.97 | (667) all_0_244_244 = e20
% 32.03/8.97 |
% 32.03/8.97 | Combining equations (667,581) yields a new equation:
% 32.03/8.97 | (664) e21 = e20
% 32.03/8.97 |
% 32.03/8.97 | Equations (664) can reduce 401 to:
% 32.03/8.97 | (537) $false
% 32.03/8.97 |
% 32.03/8.97 |-The branch is then unsatisfiable
% 32.03/8.97 |-Branch two:
% 32.03/8.97 | (6512) ~ (all_0_244_244 = e20)
% 32.03/8.97 | (6295) all_0_245_245 = e20
% 32.03/8.97 |
% 32.03/8.97 | Equations (6295) can reduce 137 to:
% 32.03/8.97 | (6294) ~ (all_0_241_241 = e20)
% 32.03/8.97 |
% 32.11/8.97 | Equations (6295) can reduce 154 to:
% 32.11/8.97 | (668) ~ (all_0_243_243 = e20)
% 32.11/8.97 |
% 32.11/8.97 | From (6295) and (110) follows:
% 32.11/8.97 | (6521) op2(e20, e21) = all_0_163_163
% 32.11/8.97 |
% 32.11/8.97 +-Applying beta-rule and splitting (234), into two cases.
% 32.11/8.97 |-Branch one:
% 32.11/8.97 | (6389) all_0_239_239 = e20
% 32.11/8.97 |
% 32.11/8.97 | Combining equations (6389,10111) yields a new equation:
% 32.11/8.97 | (6377) all_0_149_149 = e20
% 32.11/8.97 |
% 32.11/8.97 | Equations (6389) can reduce 379 to:
% 32.11/8.97 | (10555) ~ (all_0_241_241 = e20)
% 32.11/8.97 |
% 32.11/8.97 | Simplifying 10555 yields:
% 32.11/8.97 | (6294) ~ (all_0_241_241 = e20)
% 32.11/8.97 |
% 32.11/8.97 | Equations (6389) can reduce 32 to:
% 32.11/8.97 | (7117) ~ (all_0_243_243 = e20)
% 32.11/8.97 |
% 32.11/8.97 | Simplifying 7117 yields:
% 32.11/8.97 | (668) ~ (all_0_243_243 = e20)
% 32.11/8.97 |
% 32.11/8.97 | Equations (6389) can reduce 6318 to:
% 32.11/8.97 | (652) ~ (e22 = e20)
% 32.11/8.97 |
% 32.11/8.97 | Simplifying 652 yields:
% 32.11/8.97 | (294) ~ (e22 = e20)
% 32.11/8.97 |
% 32.11/8.97 | Equations (6389) can reduce 18 to:
% 32.11/8.97 | (654) ~ (e21 = e20)
% 32.11/8.97 |
% 32.11/8.97 | Simplifying 654 yields:
% 32.11/8.97 | (401) ~ (e21 = e20)
% 32.11/8.97 |
% 32.11/8.97 +-Applying beta-rule and splitting (601), into two cases.
% 32.11/8.97 |-Branch one:
% 32.11/8.97 | (6284) all_0_243_243 = e23
% 32.11/8.97 |
% 32.11/8.97 | Equations (6284) can reduce 668 to:
% 32.11/8.97 | (14) ~ (e23 = e20)
% 32.11/8.97 |
% 32.11/8.97 | From (6284) and (258) follows:
% 32.11/8.97 | (6504) op2(e23, e21) = all_0_158_158
% 32.11/8.97 |
% 32.11/8.97 +-Applying beta-rule and splitting (593), into two cases.
% 32.11/8.97 |-Branch one:
% 32.11/8.97 | (682) all_0_241_241 = e23
% 32.11/8.97 |
% 32.11/8.97 | Equations (682) can reduce 152 to:
% 32.11/8.97 | (449) ~ (e23 = e22)
% 32.11/8.97 |
% 32.11/8.97 | Equations (682) can reduce 6294 to:
% 32.11/8.97 | (14) ~ (e23 = e20)
% 32.11/8.97 |
% 32.11/8.97 | From (682) and (463) follows:
% 32.11/8.97 | (6526) op2(e23, e22) = all_0_152_152
% 32.11/8.97 |
% 32.11/8.97 | Instantiating formula (340) with e23, e22, all_0_152_152, e22 and discharging atoms op2(e23, e22) = all_0_152_152, op2(e23, e22) = e22, yields:
% 32.11/8.97 | (6527) all_0_152_152 = e22
% 32.11/8.97 |
% 32.11/8.97 | Instantiating formula (340) with e23, e21, all_0_158_158, e20 and discharging atoms op2(e23, e21) = all_0_158_158, op2(e23, e21) = e20, yields:
% 32.11/8.97 | (6529) all_0_158_158 = e20
% 32.11/8.97 |
% 32.11/8.97 | Instantiating formula (340) with e20, e21, all_0_163_163, e23 and discharging atoms op2(e20, e21) = all_0_163_163, op2(e20, e21) = e23, yields:
% 32.11/8.97 | (6530) all_0_163_163 = e23
% 32.11/8.97 |
% 32.11/8.97 +-Applying beta-rule and splitting (69), into two cases.
% 32.11/8.97 |-Branch one:
% 32.11/8.97 | (6421) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)) | (all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20))
% 32.11/8.97 |
% 32.11/8.97 +-Applying beta-rule and splitting (6421), into two cases.
% 32.11/8.97 |-Branch one:
% 32.11/8.97 | (6422) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)) | (all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22))
% 32.11/8.97 |
% 32.11/8.97 +-Applying beta-rule and splitting (6422), into two cases.
% 32.11/8.97 |-Branch one:
% 32.11/8.97 | (6423) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)) | (all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23))
% 32.11/8.97 |
% 32.11/8.97 +-Applying beta-rule and splitting (6423), into two cases.
% 32.11/8.97 |-Branch one:
% 32.11/8.97 | (6424) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)) | (all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20))
% 32.11/8.97 |
% 32.11/8.97 +-Applying beta-rule and splitting (6424), into two cases.
% 32.11/8.97 |-Branch one:
% 32.11/8.97 | (6425) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)) | (all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21))
% 32.11/8.97 |
% 32.11/8.97 +-Applying beta-rule and splitting (6425), into two cases.
% 32.11/8.97 |-Branch one:
% 32.11/8.97 | (6426) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)) | (all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23))
% 32.11/8.97 |
% 32.11/8.97 +-Applying beta-rule and splitting (6426), into two cases.
% 32.11/8.97 |-Branch one:
% 32.11/8.97 | (6427) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)) | (all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20))
% 32.11/8.98 |
% 32.11/8.98 +-Applying beta-rule and splitting (6427), into two cases.
% 32.11/8.98 |-Branch one:
% 32.11/8.98 | (6428) (all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)) | (all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21))
% 32.11/8.98 |
% 32.11/8.98 +-Applying beta-rule and splitting (6428), into two cases.
% 32.11/8.98 |-Branch one:
% 32.11/8.98 | (6429) all_0_135_135 = e22 & ~ (all_0_134_134 = e23) & ~ (all_0_136_136 = e22)
% 32.11/8.98 |
% 32.11/8.98 | Applying alpha-rule on (6429) yields:
% 32.11/8.98 | (6430) all_0_135_135 = e22
% 32.11/8.98 | (6431) ~ (all_0_134_134 = e23)
% 32.11/8.98 | (6432) ~ (all_0_136_136 = e22)
% 32.11/8.98 |
% 32.11/8.98 | Combining equations (8733,6430) yields a new equation:
% 32.11/8.98 | (6323) e22 = e21
% 32.11/8.98 |
% 32.11/8.98 | Equations (6323) can reduce 92 to:
% 32.11/8.98 | (537) $false
% 32.11/8.98 |
% 32.11/8.98 |-The branch is then unsatisfiable
% 32.11/8.98 |-Branch two:
% 32.11/8.98 | (6434) all_0_138_138 = e21 & ~ (all_0_137_137 = e23) & ~ (all_0_139_139 = e21)
% 32.11/8.98 |
% 32.11/8.98 | Applying alpha-rule on (6434) yields:
% 32.11/8.98 | (6435) all_0_138_138 = e21
% 32.11/8.98 | (6436) ~ (all_0_137_137 = e23)
% 32.11/8.98 | (6437) ~ (all_0_139_139 = e21)
% 32.11/8.98 |
% 32.11/8.98 | Combining equations (6435,6357) yields a new equation:
% 32.11/8.98 | (663) e21 = e20
% 32.11/8.98 |
% 32.11/8.98 | Simplifying 663 yields:
% 32.11/8.98 | (664) e21 = e20
% 32.11/8.98 |
% 32.11/8.98 | Equations (664) can reduce 401 to:
% 32.11/8.98 | (537) $false
% 32.11/8.98 |
% 32.11/8.98 |-The branch is then unsatisfiable
% 32.11/8.98 |-Branch two:
% 32.11/8.98 | (6441) all_0_141_141 = e20 & ~ (all_0_140_140 = e23) & ~ (all_0_142_142 = e20)
% 32.11/8.98 |
% 32.11/8.98 | Applying alpha-rule on (6441) yields:
% 32.11/8.98 | (6442) all_0_141_141 = e20
% 32.11/8.98 | (6443) ~ (all_0_140_140 = e23)
% 32.11/8.98 | (6444) ~ (all_0_142_142 = e20)
% 32.11/8.98 |
% 32.11/8.98 | Combining equations (7199,6442) yields a new equation:
% 32.11/8.98 | (657) e22 = e20
% 32.11/8.98 |
% 32.11/8.98 | Simplifying 657 yields:
% 32.11/8.98 | (658) e22 = e20
% 32.11/8.98 |
% 32.11/8.98 | Equations (658) can reduce 294 to:
% 32.11/8.98 | (537) $false
% 32.11/8.98 |
% 32.11/8.98 |-The branch is then unsatisfiable
% 32.11/8.98 |-Branch two:
% 32.11/8.98 | (6447) all_0_144_144 = e23 & ~ (all_0_143_143 = e22) & ~ (all_0_145_145 = e23)
% 32.11/8.98 |
% 32.11/8.98 | Applying alpha-rule on (6447) yields:
% 32.11/8.98 | (6448) all_0_144_144 = e23
% 32.11/8.98 | (6449) ~ (all_0_143_143 = e22)
% 32.11/8.98 | (6450) ~ (all_0_145_145 = e23)
% 32.11/8.98 |
% 32.11/8.98 | Equations (7066) can reduce 6449 to:
% 32.11/8.98 | (537) $false
% 32.11/8.98 |
% 32.11/8.98 |-The branch is then unsatisfiable
% 32.11/8.98 |-Branch two:
% 32.11/8.98 | (6452) all_0_149_149 = e21 & ~ (all_0_148_148 = e22) & ~ (all_0_150_150 = e21)
% 32.11/8.98 |
% 32.11/8.98 | Applying alpha-rule on (6452) yields:
% 32.11/8.98 | (6453) all_0_149_149 = e21
% 32.11/8.98 | (6454) ~ (all_0_148_148 = e22)
% 32.11/8.98 | (6455) ~ (all_0_150_150 = e21)
% 32.11/8.98 |
% 32.11/8.98 | Combining equations (6453,6377) yields a new equation:
% 32.11/8.98 | (663) e21 = e20
% 32.11/8.98 |
% 32.11/8.98 | Simplifying 663 yields:
% 32.11/8.98 | (664) e21 = e20
% 32.11/8.98 |
% 32.11/8.98 | Equations (664) can reduce 401 to:
% 32.11/8.98 | (537) $false
% 32.11/8.98 |
% 32.11/8.98 |-The branch is then unsatisfiable
% 32.11/8.98 |-Branch two:
% 32.11/8.98 | (6458) all_0_152_152 = e20 & ~ (all_0_151_151 = e22) & ~ (all_0_153_153 = e20)
% 32.11/8.98 |
% 32.11/8.98 | Applying alpha-rule on (6458) yields:
% 32.11/8.98 | (6459) all_0_152_152 = e20
% 32.11/8.98 | (6460) ~ (all_0_151_151 = e22)
% 32.11/8.98 | (6461) ~ (all_0_153_153 = e20)
% 32.11/8.98 |
% 32.11/8.98 | Combining equations (6527,6459) yields a new equation:
% 32.11/8.98 | (657) e22 = e20
% 32.11/8.98 |
% 32.11/8.98 | Simplifying 657 yields:
% 32.11/8.98 | (658) e22 = e20
% 32.11/8.98 |
% 32.11/8.98 | Equations (658) can reduce 294 to:
% 32.11/8.98 | (537) $false
% 32.11/8.98 |
% 32.11/8.98 |-The branch is then unsatisfiable
% 32.11/8.98 |-Branch two:
% 32.11/8.99 | (6465) all_0_155_155 = e23 & ~ (all_0_154_154 = e21) & ~ (all_0_156_156 = e23)
% 32.11/8.99 |
% 32.11/8.99 | Applying alpha-rule on (6465) yields:
% 32.11/8.99 | (6466) all_0_155_155 = e23
% 32.11/8.99 | (6467) ~ (all_0_154_154 = e21)
% 32.11/8.99 | (6468) ~ (all_0_156_156 = e23)
% 32.11/8.99 |
% 32.11/8.99 | Combining equations (6340,6466) yields a new equation:
% 32.11/8.99 | (639) e23 = e22
% 32.11/8.99 |
% 32.11/8.99 | Equations (639) can reduce 449 to:
% 32.11/8.99 | (537) $false
% 32.11/8.99 |
% 32.11/8.99 |-The branch is then unsatisfiable
% 32.11/8.99 |-Branch two:
% 32.11/8.99 | (6471) all_0_158_158 = e22 & ~ (all_0_157_157 = e21) & ~ (all_0_159_159 = e22)
% 32.11/8.99 |
% 32.11/8.99 | Applying alpha-rule on (6471) yields:
% 32.11/8.99 | (6472) all_0_158_158 = e22
% 32.11/8.99 | (6473) ~ (all_0_157_157 = e21)
% 32.11/8.99 | (6474) ~ (all_0_159_159 = e22)
% 32.11/8.99 |
% 32.11/8.99 | Combining equations (6529,6472) yields a new equation:
% 32.11/8.99 | (658) e22 = e20
% 32.11/8.99 |
% 32.11/8.99 | Equations (658) can reduce 294 to:
% 32.11/8.99 | (537) $false
% 32.11/8.99 |
% 32.11/8.99 |-The branch is then unsatisfiable
% 32.11/8.99 |-Branch two:
% 32.11/8.99 | (6478) all_0_163_163 = e20 & ~ (all_0_162_162 = e21) & ~ (all_0_164_164 = e20)
% 32.11/8.99 |
% 32.11/8.99 | Applying alpha-rule on (6478) yields:
% 32.11/8.99 | (6479) all_0_163_163 = e20
% 32.11/8.99 | (6480) ~ (all_0_162_162 = e21)
% 32.11/8.99 | (6481) ~ (all_0_164_164 = e20)
% 32.11/8.99 |
% 32.11/8.99 | Combining equations (6530,6479) yields a new equation:
% 32.11/8.99 | (683) e23 = e20
% 32.11/8.99 |
% 32.11/8.99 | Simplifying 683 yields:
% 32.11/8.99 | (684) e23 = e20
% 32.11/8.99 |
% 32.11/8.99 | Equations (684) can reduce 14 to:
% 32.11/8.99 | (537) $false
% 32.11/8.99 |
% 32.11/8.99 |-The branch is then unsatisfiable
% 32.11/8.99 |-Branch two:
% 32.11/8.99 | (6483) all_0_237_237 = e21 & ~ (all_0_236_236 = e20)
% 32.11/8.99 |
% 32.11/8.99 | Applying alpha-rule on (6483) yields:
% 32.11/8.99 | (523) all_0_237_237 = e21
% 32.11/8.99 | (660) ~ (all_0_236_236 = e20)
% 32.11/8.99 |
% 32.11/8.99 | Equations (656) can reduce 660 to:
% 32.11/8.99 | (537) $false
% 32.11/8.99 |
% 32.11/8.99 |-The branch is then unsatisfiable
% 32.11/8.99 |-Branch two:
% 32.11/8.99 | (686) ~ (all_0_241_241 = e23)
% 32.11/8.99 | (687) all_0_245_245 = e23
% 32.11/8.99 |
% 32.11/8.99 | Combining equations (6295,687) yields a new equation:
% 32.11/8.99 | (684) e23 = e20
% 32.11/8.99 |
% 32.11/8.99 | Equations (684) can reduce 14 to:
% 32.11/8.99 | (537) $false
% 32.11/8.99 |
% 32.11/8.99 |-The branch is then unsatisfiable
% 32.11/8.99 |-Branch two:
% 32.11/8.99 | (688) ~ (all_0_243_243 = e23)
% 32.11/8.99 | (687) all_0_245_245 = e23
% 32.11/8.99 |
% 32.11/8.99 | Combining equations (6295,687) yields a new equation:
% 32.11/8.99 | (684) e23 = e20
% 32.11/8.99 |
% 32.11/8.99 | Equations (684) can reduce 14 to:
% 32.11/8.99 | (537) $false
% 32.11/8.99 |
% 32.11/8.99 |-The branch is then unsatisfiable
% 32.11/8.99 |-Branch two:
% 32.11/8.99 | (6378) ~ (all_0_239_239 = e20)
% 32.11/8.99 | (6392) all_0_240_240 = e20 | all_0_241_241 = e20
% 32.11/8.99 |
% 32.11/8.99 +-Applying beta-rule and splitting (588), into two cases.
% 32.11/8.99 |-Branch one:
% 32.11/8.99 | (682) all_0_241_241 = e23
% 32.11/8.99 |
% 32.11/8.99 | Equations (682) can reduce 379 to:
% 32.11/8.99 | (6283) ~ (all_0_239_239 = e23)
% 32.11/8.99 |
% 32.11/8.99 +-Applying beta-rule and splitting (636), into two cases.
% 32.11/8.99 |-Branch one:
% 32.11/8.99 | (692) all_0_239_239 = e23
% 32.11/8.99 |
% 32.11/8.99 | Equations (692) can reduce 6283 to:
% 32.11/8.99 | (537) $false
% 32.11/8.99 |
% 32.11/8.99 |-The branch is then unsatisfiable
% 32.11/8.99 |-Branch two:
% 32.11/8.99 | (6283) ~ (all_0_239_239 = e23)
% 32.11/8.99 | (6284) all_0_243_243 = e23
% 32.11/8.99 |
% 32.11/8.99 | Equations (6284) can reduce 668 to:
% 32.11/8.99 | (14) ~ (e23 = e20)
% 32.11/8.99 |
% 32.11/8.99 +-Applying beta-rule and splitting (6497), into two cases.
% 32.11/8.99 |-Branch one:
% 32.11/8.99 | (6389) all_0_239_239 = e20
% 32.11/8.99 |
% 32.11/8.99 | Equations (6389) can reduce 6378 to:
% 32.11/8.99 | (537) $false
% 32.11/8.99 |
% 32.11/8.99 |-The branch is then unsatisfiable
% 32.11/8.99 |-Branch two:
% 32.11/8.99 | (6378) ~ (all_0_239_239 = e20)
% 32.11/8.99 | (6292) all_0_243_243 = e20
% 32.11/8.99 |
% 32.11/8.99 | Combining equations (6284,6292) yields a new equation:
% 32.11/8.99 | (683) e23 = e20
% 32.11/8.99 |
% 32.11/8.99 | Simplifying 683 yields:
% 32.11/8.99 | (684) e23 = e20
% 32.11/8.99 |
% 32.11/8.99 | Equations (684) can reduce 14 to:
% 32.11/8.99 | (537) $false
% 32.11/8.99 |
% 32.11/8.99 |-The branch is then unsatisfiable
% 32.11/8.99 |-Branch two:
% 32.11/8.99 | (686) ~ (all_0_241_241 = e23)
% 32.11/8.99 | (681) all_0_241_241 = e20
% 32.11/8.99 |
% 32.11/8.99 | Equations (681) can reduce 6294 to:
% 32.11/8.99 | (537) $false
% 32.11/8.99 |
% 32.11/8.99 |-The branch is then unsatisfiable
% 32.11/9.00 |-Branch two:
% 32.11/9.00 | (660) ~ (all_0_236_236 = e20)
% 32.11/9.00 | (675) all_0_237_237 = e20
% 32.11/9.00 |
% 32.11/9.00 | Combining equations (523,675) yields a new equation:
% 32.11/9.00 | (663) e21 = e20
% 32.11/9.00 |
% 32.11/9.00 | Simplifying 663 yields:
% 32.11/9.00 | (664) e21 = e20
% 32.11/9.00 |
% 32.11/9.00 | Equations (664) can reduce 401 to:
% 32.11/9.00 | (537) $false
% 32.11/9.00 |
% 32.11/9.00 |-The branch is then unsatisfiable
% 32.11/9.00 |-Branch two:
% 32.11/9.00 | (646) ~ (all_0_235_235 = e22)
% 32.11/9.00 | (650) all_0_239_239 = e22 | all_0_243_243 = e22
% 32.11/9.00 |
% 32.11/9.00 +-Applying beta-rule and splitting (650), into two cases.
% 32.11/9.00 |-Branch one:
% 32.11/9.00 | (6372) all_0_239_239 = e22
% 32.11/9.00 |
% 32.11/9.00 | Combining equations (6372,11397) yields a new equation:
% 32.11/9.00 | (9322) all_0_121_121 = e22
% 32.11/9.00 |
% 32.11/9.00 | Equations (6372) can reduce 415 to:
% 32.11/9.00 | (646) ~ (all_0_235_235 = e22)
% 32.11/9.00 |
% 32.11/9.00 | Equations (6372) can reduce 84 to:
% 32.11/9.00 | (7133) ~ (all_0_240_240 = e22)
% 32.11/9.00 |
% 32.11/9.00 | Simplifying 7133 yields:
% 32.14/9.00 | (6338) ~ (all_0_240_240 = e22)
% 32.14/9.00 |
% 32.14/9.00 | From (6372)(6372) and (309) follows:
% 32.14/9.00 | (6666) op2(e22, e22) = all_0_37_37
% 32.14/9.00 |
% 32.14/9.00 | From (6372) and (292) follows:
% 32.14/9.00 | (6667) op2(e22, e22) = all_0_146_146
% 32.14/9.00 |
% 32.14/9.00 | From (6372) and (130) follows:
% 32.14/9.00 | (6669) op2(e22, e22) = all_0_147_147
% 32.14/9.00 |
% 32.14/9.00 | From (6372) and (256) follows:
% 32.14/9.00 | (6670) op2(e22, e22) = e22
% 32.14/9.00 |
% 32.14/9.00 +-Applying beta-rule and splitting (332), into two cases.
% 32.14/9.00 |-Branch one:
% 32.14/9.00 | (647) all_0_235_235 = e22
% 32.14/9.00 |
% 32.14/9.00 | Equations (647) can reduce 646 to:
% 32.14/9.00 | (537) $false
% 32.14/9.00 |
% 32.14/9.00 |-The branch is then unsatisfiable
% 32.14/9.00 |-Branch two:
% 32.14/9.00 | (646) ~ (all_0_235_235 = e22)
% 32.14/9.00 | (7858) all_0_235_235 = e23 | all_0_235_235 = e20
% 32.14/9.00 |
% 32.14/9.00 +-Applying beta-rule and splitting (311), into two cases.
% 32.14/9.00 |-Branch one:
% 32.14/9.00 | (6310) all_0_234_234 = e22
% 32.14/9.00 |
% 32.14/9.00 | Combining equations (604,6310) yields a new equation:
% 32.14/9.00 | (638) e23 = e22
% 32.14/9.00 |
% 32.14/9.00 | Simplifying 638 yields:
% 32.14/9.00 | (639) e23 = e22
% 32.14/9.00 |
% 32.14/9.00 | Equations (639) can reduce 449 to:
% 32.14/9.00 | (537) $false
% 32.14/9.00 |
% 32.14/9.00 |-The branch is then unsatisfiable
% 32.14/9.00 |-Branch two:
% 32.14/9.00 | (6314) ~ (all_0_234_234 = e22)
% 32.14/9.00 | (6315) all_0_235_235 = e22 | all_0_236_236 = e22
% 32.14/9.00 |
% 32.14/9.00 | Equations (604) can reduce 6314 to:
% 32.14/9.00 | (449) ~ (e23 = e22)
% 32.14/9.00 |
% 32.14/9.00 +-Applying beta-rule and splitting (636), into two cases.
% 32.14/9.00 |-Branch one:
% 32.14/9.00 | (692) all_0_239_239 = e23
% 32.14/9.00 |
% 32.14/9.00 | Combining equations (6372,692) yields a new equation:
% 32.14/9.00 | (639) e23 = e22
% 32.14/9.00 |
% 32.14/9.00 | Equations (639) can reduce 449 to:
% 32.14/9.00 | (537) $false
% 32.14/9.00 |
% 32.14/9.00 |-The branch is then unsatisfiable
% 32.14/9.00 |-Branch two:
% 32.14/9.00 | (6283) ~ (all_0_239_239 = e23)
% 32.14/9.00 | (6284) all_0_243_243 = e23
% 32.14/9.00 |
% 32.14/9.00 | Equations (6284) can reduce 212 to:
% 32.14/9.00 | (606) ~ (all_0_235_235 = e23)
% 32.14/9.00 |
% 32.14/9.00 +-Applying beta-rule and splitting (191), into two cases.
% 32.14/9.00 |-Branch one:
% 32.14/9.00 | (645) all_0_236_236 = e22
% 32.14/9.00 |
% 32.14/9.00 | Equations (645) can reduce 79 to:
% 32.14/9.00 | (7133) ~ (all_0_240_240 = e22)
% 32.14/9.00 |
% 32.14/9.00 | Simplifying 7133 yields:
% 32.14/9.00 | (6338) ~ (all_0_240_240 = e22)
% 32.14/9.00 |
% 32.14/9.00 | Equations (645) can reduce 425 to:
% 32.14/9.00 | (613) ~ (e23 = e22)
% 32.14/9.00 |
% 32.14/9.00 | Simplifying 613 yields:
% 32.14/9.00 | (449) ~ (e23 = e22)
% 32.14/9.00 |
% 32.14/9.00 | From (645) and (129) follows:
% 32.14/9.00 | (9268) op2(e22, e22) = all_0_102_102
% 32.14/9.00 |
% 32.14/9.00 +-Applying beta-rule and splitting (157), into two cases.
% 32.14/9.00 |-Branch one:
% 32.14/9.00 | (651) all_0_235_235 = e20
% 32.14/9.00 |
% 32.14/9.00 | Equations (651) can reduce 416 to:
% 32.14/9.00 | (654) ~ (e21 = e20)
% 32.14/9.00 |
% 32.14/9.00 | Simplifying 654 yields:
% 32.14/9.00 | (401) ~ (e21 = e20)
% 32.14/9.00 |
% 32.14/9.00 +-Applying beta-rule and splitting (642), into two cases.
% 32.14/9.00 |-Branch one:
% 32.14/9.00 | (692) all_0_239_239 = e23
% 32.14/9.00 |
% 32.14/9.00 | Combining equations (6372,692) yields a new equation:
% 32.14/9.00 | (639) e23 = e22
% 32.14/9.00 |
% 32.14/9.00 | Equations (639) can reduce 449 to:
% 32.14/9.00 | (537) $false
% 32.14/9.00 |
% 32.14/9.00 |-The branch is then unsatisfiable
% 32.14/9.00 |-Branch two:
% 32.14/9.00 | (6283) ~ (all_0_239_239 = e23)
% 32.14/9.00 | (682) all_0_241_241 = e23
% 32.14/9.00 |
% 32.14/9.00 | Equations (682) can reduce 186 to:
% 32.14/9.00 | (327) ~ (all_0_240_240 = e23)
% 32.14/9.00 |
% 32.14/9.00 | Equations (682) can reduce 137 to:
% 32.14/9.00 | (6500) ~ (all_0_245_245 = e23)
% 32.14/9.00 |
% 32.14/9.00 | Simplifying 6500 yields:
% 32.14/9.00 | (6501) ~ (all_0_245_245 = e23)
% 32.14/9.00 |
% 32.14/9.00 | Equations (682) can reduce 527 to:
% 32.14/9.00 | (215) ~ (e23 = e21)
% 32.14/9.00 |
% 32.14/9.00 +-Applying beta-rule and splitting (452), into two cases.
% 32.14/9.00 |-Branch one:
% 32.14/9.00 | (675) all_0_237_237 = e20
% 32.14/9.00 |
% 32.14/9.00 | Combining equations (675,523) yields a new equation:
% 32.14/9.00 | (664) e21 = e20
% 32.14/9.00 |
% 32.14/9.00 | Equations (664) can reduce 401 to:
% 32.14/9.00 | (537) $false
% 32.14/9.00 |
% 32.14/9.00 |-The branch is then unsatisfiable
% 32.14/9.00 |-Branch two:
% 32.14/9.00 | (679) ~ (all_0_237_237 = e20)
% 32.14/9.00 | (680) all_0_241_241 = e20 | all_0_245_245 = e20
% 32.14/9.00 |
% 32.14/9.00 +-Applying beta-rule and splitting (6992), into two cases.
% 32.14/9.00 |-Branch one:
% 32.14/9.00 | (6335) all_0_240_240 = e22
% 32.14/9.00 |
% 32.14/9.01 | Equations (6335) can reduce 6338 to:
% 32.14/9.01 | (537) $false
% 32.14/9.01 |
% 32.14/9.01 |-The branch is then unsatisfiable
% 32.14/9.01 |-Branch two:
% 32.14/9.01 | (6338) ~ (all_0_240_240 = e22)
% 32.14/9.01 | (662) all_0_240_240 = e20
% 32.14/9.01 |
% 32.14/9.01 | Equations (662) can reduce 327 to:
% 32.14/9.01 | (671) ~ (e23 = e20)
% 32.14/9.01 |
% 32.14/9.01 | Simplifying 671 yields:
% 32.14/9.01 | (14) ~ (e23 = e20)
% 32.14/9.01 |
% 32.14/9.01 +-Applying beta-rule and splitting (680), into two cases.
% 32.14/9.01 |-Branch one:
% 32.14/9.01 | (681) all_0_241_241 = e20
% 32.14/9.01 |
% 32.14/9.01 | Combining equations (682,681) yields a new equation:
% 32.14/9.01 | (683) e23 = e20
% 32.14/9.01 |
% 32.14/9.01 | Simplifying 683 yields:
% 32.14/9.01 | (684) e23 = e20
% 32.14/9.01 |
% 32.14/9.01 | Equations (684) can reduce 14 to:
% 32.14/9.01 | (537) $false
% 32.14/9.01 |
% 32.14/9.01 |-The branch is then unsatisfiable
% 32.14/9.01 |-Branch two:
% 32.14/9.01 | (6294) ~ (all_0_241_241 = e20)
% 32.14/9.01 | (6295) all_0_245_245 = e20
% 32.14/9.01 |
% 32.14/9.01 | Equations (6295) can reduce 6501 to:
% 32.14/9.01 | (671) ~ (e23 = e20)
% 32.14/9.01 |
% 32.14/9.01 | Simplifying 671 yields:
% 32.14/9.01 | (14) ~ (e23 = e20)
% 32.14/9.01 |
% 32.14/9.01 | Equations (6295) can reduce 506 to:
% 32.14/9.01 | (654) ~ (e21 = e20)
% 32.14/9.01 |
% 32.14/9.01 | Simplifying 654 yields:
% 32.14/9.01 | (401) ~ (e21 = e20)
% 32.14/9.01 |
% 32.14/9.01 | Instantiating formula (340) with e22, e22, all_0_102_102, all_0_37_37 and discharging atoms op2(e22, e22) = all_0_37_37, op2(e22, e22) = all_0_102_102, yields:
% 32.14/9.01 | (11827) all_0_37_37 = all_0_102_102
% 32.14/9.01 |
% 32.14/9.01 | Instantiating formula (340) with e22, e22, all_0_146_146, all_0_102_102 and discharging atoms op2(e22, e22) = all_0_102_102, op2(e22, e22) = all_0_146_146, yields:
% 32.14/9.01 | (11828) all_0_102_102 = all_0_146_146
% 32.14/9.01 |
% 32.14/9.01 | Instantiating formula (340) with e22, e22, all_0_147_147, all_0_146_146 and discharging atoms op2(e22, e22) = all_0_146_146, op2(e22, e22) = all_0_147_147, yields:
% 32.14/9.01 | (6741) all_0_146_146 = all_0_147_147
% 32.14/9.01 |
% 32.14/9.01 | Instantiating formula (340) with e22, e22, e22, all_0_37_37 and discharging atoms op2(e22, e22) = all_0_37_37, op2(e22, e22) = e22, yields:
% 32.14/9.01 | (9315) all_0_37_37 = e22
% 32.14/9.01 |
% 32.14/9.01 | Combining equations (11827,9315) yields a new equation:
% 32.14/9.01 | (11831) all_0_102_102 = e22
% 32.14/9.01 |
% 32.14/9.01 | Simplifying 11831 yields:
% 32.14/9.01 | (9293) all_0_102_102 = e22
% 32.14/9.01 |
% 32.14/9.01 | Combining equations (11828,9293) yields a new equation:
% 32.14/9.01 | (6754) all_0_146_146 = e22
% 32.14/9.01 |
% 32.14/9.01 | Simplifying 6754 yields:
% 32.14/9.01 | (6755) all_0_146_146 = e22
% 32.14/9.01 |
% 32.14/9.01 | Combining equations (6741,6755) yields a new equation:
% 32.14/9.01 | (6761) all_0_147_147 = e22
% 32.14/9.01 |
% 32.14/9.01 | Simplifying 6761 yields:
% 32.14/9.01 | (6762) all_0_147_147 = e22
% 32.14/9.01 |
% 32.14/9.01 +-Applying beta-rule and splitting (338), into two cases.
% 32.14/9.01 |-Branch one:
% 32.14/9.01 | (6766) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)) | (all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21)) | (all_0_245_245 = e23 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e20) & ~ (all_0_164_164 = e21)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e20) & ~ (all_0_133_133 = e23)) | ( ~ (all_0_111_111 = e23) & ~ (all_0_112_112 = e21) & ~ (all_0_113_113 = e20) & ~ (all_0_147_147 = e22)) | ( ~ (all_0_126_126 = e23) & ~ (all_0_127_127 = e22) & ~ (all_0_128_128 = e20) & ~ (all_0_161_161 = e21))
% 32.14/9.01 |
% 32.14/9.01 +-Applying beta-rule and splitting (6766), into two cases.
% 32.14/9.01 |-Branch one:
% 32.14/9.01 | (6767) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)) | (all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21)) | (all_0_245_245 = e23 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e20) & ~ (all_0_164_164 = e21)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e20) & ~ (all_0_133_133 = e23)) | ( ~ (all_0_111_111 = e23) & ~ (all_0_112_112 = e21) & ~ (all_0_113_113 = e20) & ~ (all_0_147_147 = e22))
% 32.14/9.01 |
% 32.14/9.01 +-Applying beta-rule and splitting (6767), into two cases.
% 32.14/9.01 |-Branch one:
% 32.14/9.01 | (6768) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)) | (all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21)) | (all_0_245_245 = e23 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e20) & ~ (all_0_164_164 = e21)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e20) & ~ (all_0_133_133 = e23))
% 32.14/9.01 |
% 32.14/9.01 +-Applying beta-rule and splitting (6768), into two cases.
% 32.14/9.01 |-Branch one:
% 32.14/9.01 | (6769) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)) | (all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21)) | (all_0_245_245 = e23 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e20) & ~ (all_0_164_164 = e21))
% 32.14/9.01 |
% 32.14/9.01 +-Applying beta-rule and splitting (6769), into two cases.
% 32.14/9.01 |-Branch one:
% 32.14/9.01 | (6770) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)) | (all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21))
% 32.14/9.01 |
% 32.14/9.01 +-Applying beta-rule and splitting (6770), into two cases.
% 32.14/9.01 |-Branch one:
% 32.14/9.01 | (6771) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)) | (all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22))
% 32.14/9.01 |
% 32.14/9.02 +-Applying beta-rule and splitting (6771), into two cases.
% 32.14/9.02 |-Branch one:
% 32.14/9.02 | (6772) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21))
% 32.14/9.02 |
% 32.14/9.02 +-Applying beta-rule and splitting (6772), into two cases.
% 32.14/9.02 |-Branch one:
% 32.14/9.02 | (6773) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21)) | (all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22))
% 32.14/9.02 |
% 32.14/9.02 +-Applying beta-rule and splitting (6773), into two cases.
% 32.14/9.02 |-Branch one:
% 32.14/9.02 | (6774) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)) | (all_0_237_237 = e20 & ~ (all_0_245_245 = e21))
% 32.14/9.02 |
% 32.14/9.02 +-Applying beta-rule and splitting (6774), into two cases.
% 32.14/9.02 |-Branch one:
% 32.14/9.02 | (6775) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)) | (all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23))
% 32.14/9.02 |
% 32.14/9.02 +-Applying beta-rule and splitting (6775), into two cases.
% 32.14/9.02 |-Branch one:
% 32.14/9.02 | (6776) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21))
% 32.14/9.02 |
% 32.14/9.02 +-Applying beta-rule and splitting (6776), into two cases.
% 32.14/9.02 |-Branch one:
% 32.14/9.02 | (6777) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)) | (all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23))
% 32.14/9.02 |
% 32.14/9.02 +-Applying beta-rule and splitting (6777), into two cases.
% 32.14/9.02 |-Branch one:
% 32.14/9.02 | (6778) (all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)) | (all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22))
% 32.14/9.02 |
% 32.14/9.02 +-Applying beta-rule and splitting (6778), into two cases.
% 32.14/9.02 |-Branch one:
% 32.14/9.02 | (6779) all_0_235_235 = all_0_238_238 & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e21) & ~ (all_0_101_101 = e20) & ~ (all_0_136_136 = e23)
% 32.14/9.02 |
% 32.14/9.02 | Applying alpha-rule on (6779) yields:
% 32.14/9.02 | (6780) ~ (all_0_100_100 = e21)
% 32.14/9.02 | (6781) ~ (all_0_136_136 = e23)
% 32.14/9.02 | (6782) ~ (all_0_101_101 = e20)
% 32.14/9.02 | (6783) ~ (all_0_99_99 = e22)
% 32.14/9.02 | (6784) all_0_235_235 = all_0_238_238
% 32.14/9.02 |
% 32.14/9.02 | Combining equations (6784,651) yields a new equation:
% 32.14/9.02 | (11856) all_0_238_238 = e20
% 32.14/9.02 |
% 32.14/9.02 | Simplifying 11856 yields:
% 32.14/9.02 | (9342) all_0_238_238 = e20
% 32.14/9.02 |
% 32.14/9.02 | Combining equations (9342,536) yields a new equation:
% 32.14/9.02 | (664) e21 = e20
% 32.14/9.02 |
% 32.14/9.02 | Equations (664) can reduce 401 to:
% 32.14/9.02 | (537) $false
% 32.14/9.02 |
% 32.14/9.02 |-The branch is then unsatisfiable
% 32.14/9.02 |-Branch two:
% 32.14/9.02 | (6786) all_0_235_235 = all_0_238_238 & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & ~ (all_0_145_145 = e22)
% 32.14/9.02 |
% 32.14/9.02 | Applying alpha-rule on (6786) yields:
% 32.14/9.02 | (6787) ~ (all_0_109_109 = e21)
% 32.14/9.02 | (6788) ~ (all_0_145_145 = e22)
% 32.14/9.02 | (6789) ~ (all_0_110_110 = e20)
% 32.14/9.02 | (6790) ~ (all_0_108_108 = e23)
% 32.14/9.02 | (6784) all_0_235_235 = all_0_238_238
% 32.14/9.02 |
% 32.14/9.02 | Combining equations (6784,651) yields a new equation:
% 32.14/9.02 | (11856) all_0_238_238 = e20
% 32.14/9.02 |
% 32.14/9.02 | Simplifying 11856 yields:
% 32.14/9.02 | (9342) all_0_238_238 = e20
% 32.14/9.02 |
% 32.14/9.02 | Combining equations (9342,536) yields a new equation:
% 32.14/9.02 | (664) e21 = e20
% 32.14/9.02 |
% 32.14/9.02 | Equations (664) can reduce 401 to:
% 32.14/9.02 | (537) $false
% 32.14/9.02 |
% 32.14/9.02 |-The branch is then unsatisfiable
% 32.14/9.02 |-Branch two:
% 32.14/9.02 | (6793) all_0_236_236 = all_0_242_242 & ~ (all_0_102_102 = e22) & ~ (all_0_103_103 = e21) & ~ (all_0_104_104 = e20) & ~ (all_0_139_139 = e23)
% 32.14/9.02 |
% 32.14/9.02 | Applying alpha-rule on (6793) yields:
% 32.14/9.02 | (6794) all_0_236_236 = all_0_242_242
% 32.14/9.02 | (6795) ~ (all_0_139_139 = e23)
% 32.14/9.03 | (6796) ~ (all_0_103_103 = e21)
% 32.14/9.03 | (6797) ~ (all_0_102_102 = e22)
% 32.14/9.03 | (6798) ~ (all_0_104_104 = e20)
% 32.14/9.03 |
% 32.14/9.03 | Equations (9293) can reduce 6797 to:
% 32.14/9.03 | (537) $false
% 32.14/9.03 |
% 32.14/9.03 |-The branch is then unsatisfiable
% 32.14/9.03 |-Branch two:
% 32.14/9.03 | (6803) all_0_236_236 = all_0_242_242 & ~ (all_0_120_120 = e23) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = e20) & ~ (all_0_156_156 = e21)
% 32.14/9.03 |
% 32.14/9.03 | Applying alpha-rule on (6803) yields:
% 32.17/9.03 | (6804) ~ (all_0_122_122 = e20)
% 32.17/9.03 | (6805) ~ (all_0_121_121 = e22)
% 32.17/9.03 | (6794) all_0_236_236 = all_0_242_242
% 32.17/9.03 | (6807) ~ (all_0_156_156 = e21)
% 32.17/9.03 | (6808) ~ (all_0_120_120 = e23)
% 32.17/9.03 |
% 32.17/9.03 | Equations (9322) can reduce 6805 to:
% 32.17/9.03 | (537) $false
% 32.17/9.03 |
% 32.17/9.03 |-The branch is then unsatisfiable
% 32.17/9.03 |-Branch two:
% 32.17/9.03 | (6813) all_0_237_237 = e20 & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = e20) & ~ (all_0_142_142 = e23)
% 32.17/9.03 |
% 32.17/9.03 | Applying alpha-rule on (6813) yields:
% 32.17/9.03 | (675) all_0_237_237 = e20
% 32.17/9.03 | (6815) ~ (all_0_142_142 = e23)
% 32.17/9.03 | (6816) ~ (all_0_106_106 = e21)
% 32.17/9.03 | (6817) ~ (all_0_107_107 = e20)
% 32.17/9.03 | (6818) ~ (all_0_105_105 = e22)
% 32.17/9.03 |
% 32.17/9.03 | Combining equations (675,523) yields a new equation:
% 32.17/9.03 | (664) e21 = e20
% 32.17/9.03 |
% 32.17/9.03 | Equations (664) can reduce 401 to:
% 32.17/9.03 | (537) $false
% 32.17/9.03 |
% 32.17/9.03 |-The branch is then unsatisfiable
% 32.17/9.03 |-Branch two:
% 32.17/9.03 | (6821) all_0_237_237 = e20 & ~ (all_0_245_245 = e21)
% 32.17/9.03 |
% 32.17/9.03 | Applying alpha-rule on (6821) yields:
% 32.17/9.03 | (675) all_0_237_237 = e20
% 32.17/9.03 | (506) ~ (all_0_245_245 = e21)
% 32.17/9.03 |
% 32.17/9.03 | Combining equations (675,523) yields a new equation:
% 32.17/9.03 | (664) e21 = e20
% 32.17/9.03 |
% 32.17/9.03 | Equations (664) can reduce 401 to:
% 32.17/9.03 | (537) $false
% 32.17/9.03 |
% 32.17/9.03 |-The branch is then unsatisfiable
% 32.17/9.03 |-Branch two:
% 32.17/9.03 | (6826) all_0_240_240 = all_0_243_243 & ~ (all_0_114_114 = e23) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = e20) & ~ (all_0_150_150 = e22)
% 32.17/9.03 |
% 32.17/9.03 | Applying alpha-rule on (6826) yields:
% 32.17/9.03 | (6827) ~ (all_0_150_150 = e22)
% 32.17/9.03 | (6828) ~ (all_0_115_115 = e21)
% 32.17/9.03 | (6829) ~ (all_0_114_114 = e23)
% 32.17/9.03 | (6830) all_0_240_240 = all_0_243_243
% 32.17/9.03 | (6831) ~ (all_0_116_116 = e20)
% 32.17/9.03 |
% 32.17/9.03 | Combining equations (6830,662) yields a new equation:
% 32.17/9.03 | (11903) all_0_243_243 = e20
% 32.17/9.03 |
% 32.17/9.03 | Simplifying 11903 yields:
% 32.17/9.03 | (6292) all_0_243_243 = e20
% 32.17/9.03 |
% 32.17/9.03 | Combining equations (6292,6284) yields a new equation:
% 32.17/9.03 | (684) e23 = e20
% 32.17/9.03 |
% 32.17/9.03 | Equations (684) can reduce 14 to:
% 32.17/9.03 | (537) $false
% 32.17/9.03 |
% 32.17/9.03 |-The branch is then unsatisfiable
% 32.17/9.03 |-Branch two:
% 32.17/9.03 | (6836) all_0_240_240 = all_0_243_243 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_159_159 = e21)
% 32.17/9.03 |
% 32.17/9.03 | Applying alpha-rule on (6836) yields:
% 32.17/9.03 | (6837) ~ (all_0_123_123 = e23)
% 32.17/9.03 | (6830) all_0_240_240 = all_0_243_243
% 32.17/9.03 | (6839) ~ (all_0_159_159 = e21)
% 32.17/9.03 | (6840) ~ (all_0_124_124 = e22)
% 32.17/9.04 | (6841) ~ (all_0_125_125 = e20)
% 32.17/9.04 |
% 32.17/9.04 | Combining equations (6830,662) yields a new equation:
% 32.17/9.04 | (11903) all_0_243_243 = e20
% 32.17/9.04 |
% 32.17/9.04 | Simplifying 11903 yields:
% 32.17/9.04 | (6292) all_0_243_243 = e20
% 32.17/9.04 |
% 32.17/9.04 | Combining equations (6292,6284) yields a new equation:
% 32.17/9.04 | (684) e23 = e20
% 32.17/9.04 |
% 32.17/9.04 | Equations (684) can reduce 14 to:
% 32.17/9.04 | (537) $false
% 32.17/9.04 |
% 32.17/9.04 |-The branch is then unsatisfiable
% 32.17/9.04 |-Branch two:
% 32.17/9.04 | (6846) all_0_241_241 = e21 & ~ (all_0_117_117 = e23) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_153_153 = e22)
% 32.17/9.04 |
% 32.17/9.04 | Applying alpha-rule on (6846) yields:
% 32.17/9.04 | (6847) ~ (all_0_119_119 = e20)
% 32.17/9.04 | (6848) ~ (all_0_117_117 = e23)
% 32.17/9.04 | (585) all_0_241_241 = e21
% 32.17/9.04 | (6850) ~ (all_0_153_153 = e22)
% 32.17/9.04 | (6851) ~ (all_0_118_118 = e21)
% 32.17/9.04 |
% 32.17/9.04 | Combining equations (585,682) yields a new equation:
% 32.17/9.04 | (590) e23 = e21
% 32.17/9.04 |
% 32.17/9.04 | Equations (590) can reduce 215 to:
% 32.17/9.04 | (537) $false
% 32.17/9.04 |
% 32.17/9.04 |-The branch is then unsatisfiable
% 32.17/9.04 |-Branch two:
% 32.17/9.04 | (6854) all_0_241_241 = e21 & ~ (all_0_240_240 = e22) & ~ (all_0_244_244 = e21)
% 32.17/9.04 |
% 32.17/9.04 | Applying alpha-rule on (6854) yields:
% 32.17/9.04 | (585) all_0_241_241 = e21
% 32.17/9.04 | (6338) ~ (all_0_240_240 = e22)
% 32.17/9.04 | (547) ~ (all_0_244_244 = e21)
% 32.17/9.04 |
% 32.17/9.04 | Combining equations (585,682) yields a new equation:
% 32.17/9.04 | (590) e23 = e21
% 32.17/9.04 |
% 32.17/9.04 | Equations (590) can reduce 215 to:
% 32.17/9.04 | (537) $false
% 32.17/9.04 |
% 32.17/9.04 |-The branch is then unsatisfiable
% 32.17/9.04 |-Branch two:
% 32.17/9.04 | (6860) all_0_245_245 = e23 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e20) & ~ (all_0_164_164 = e21)
% 32.17/9.04 |
% 32.17/9.04 | Applying alpha-rule on (6860) yields:
% 32.17/9.04 | (6861) ~ (all_0_164_164 = e21)
% 32.17/9.04 | (6862) ~ (all_0_129_129 = e23)
% 32.17/9.04 | (6863) ~ (all_0_131_131 = e20)
% 32.17/9.04 | (6864) ~ (all_0_130_130 = e22)
% 32.17/9.04 | (687) all_0_245_245 = e23
% 32.17/9.04 |
% 32.17/9.04 | Combining equations (6295,687) yields a new equation:
% 32.17/9.04 | (684) e23 = e20
% 32.17/9.04 |
% 32.17/9.04 | Equations (684) can reduce 14 to:
% 32.17/9.04 | (537) $false
% 32.17/9.04 |
% 32.17/9.04 |-The branch is then unsatisfiable
% 32.17/9.04 |-Branch two:
% 32.17/9.04 | (6867) ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e20) & ~ (all_0_133_133 = e23)
% 32.17/9.04 |
% 32.17/9.04 | Applying alpha-rule on (6867) yields:
% 32.17/9.04 | (6868) ~ (all_0_96_96 = e22)
% 32.17/9.04 | (6869) ~ (all_0_97_97 = e21)
% 32.17/9.04 | (6870) ~ (all_0_98_98 = e20)
% 32.17/9.04 | (6871) ~ (all_0_133_133 = e23)
% 32.17/9.04 |
% 32.17/9.04 | Equations (6763) can reduce 6871 to:
% 32.17/9.04 | (537) $false
% 32.17/9.04 |
% 32.17/9.04 |-The branch is then unsatisfiable
% 32.17/9.04 |-Branch two:
% 32.17/9.04 | (6873) ~ (all_0_111_111 = e23) & ~ (all_0_112_112 = e21) & ~ (all_0_113_113 = e20) & ~ (all_0_147_147 = e22)
% 32.17/9.04 |
% 32.17/9.04 | Applying alpha-rule on (6873) yields:
% 32.17/9.04 | (6874) ~ (all_0_111_111 = e23)
% 32.17/9.04 | (6875) ~ (all_0_112_112 = e21)
% 32.17/9.04 | (6876) ~ (all_0_113_113 = e20)
% 32.17/9.04 | (6877) ~ (all_0_147_147 = e22)
% 32.17/9.04 |
% 32.17/9.04 | Equations (6762) can reduce 6877 to:
% 32.17/9.04 | (537) $false
% 32.17/9.04 |
% 32.17/9.04 |-The branch is then unsatisfiable
% 32.17/9.04 |-Branch two:
% 32.17/9.04 | (6879) ~ (all_0_126_126 = e23) & ~ (all_0_127_127 = e22) & ~ (all_0_128_128 = e20) & ~ (all_0_161_161 = e21)
% 32.17/9.04 |
% 32.17/9.04 | Applying alpha-rule on (6879) yields:
% 32.17/9.05 | (6880) ~ (all_0_126_126 = e23)
% 32.17/9.05 | (6881) ~ (all_0_127_127 = e22)
% 32.17/9.05 | (6882) ~ (all_0_128_128 = e20)
% 32.17/9.05 | (6883) ~ (all_0_161_161 = e21)
% 32.17/9.05 |
% 32.17/9.05 | Equations (8954) can reduce 6883 to:
% 32.17/9.05 | (537) $false
% 32.17/9.05 |
% 32.17/9.05 |-The branch is then unsatisfiable
% 32.17/9.05 |-Branch two:
% 32.17/9.05 | (6885) ~ (all_0_235_235 = e23) & ~ (all_0_239_239 = e22)
% 32.17/9.05 |
% 32.17/9.05 | Applying alpha-rule on (6885) yields:
% 32.17/9.05 | (606) ~ (all_0_235_235 = e23)
% 32.17/9.05 | (6318) ~ (all_0_239_239 = e22)
% 32.17/9.05 |
% 32.17/9.05 | Equations (6372) can reduce 6318 to:
% 32.17/9.05 | (537) $false
% 32.17/9.05 |
% 32.17/9.05 |-The branch is then unsatisfiable
% 32.17/9.05 |-Branch two:
% 32.17/9.05 | (6297) ~ (all_0_235_235 = e20)
% 32.17/9.05 | (6298) all_0_236_236 = e20 | all_0_237_237 = e20
% 32.17/9.05 |
% 32.17/9.05 +-Applying beta-rule and splitting (7858), into two cases.
% 32.17/9.05 |-Branch one:
% 32.17/9.05 | (633) all_0_235_235 = e23
% 32.17/9.05 |
% 32.17/9.05 | Equations (633) can reduce 606 to:
% 32.17/9.05 | (537) $false
% 32.17/9.05 |
% 32.17/9.05 |-The branch is then unsatisfiable
% 32.17/9.05 |-Branch two:
% 32.17/9.05 | (606) ~ (all_0_235_235 = e23)
% 32.17/9.05 | (651) all_0_235_235 = e20
% 32.17/9.05 |
% 32.17/9.05 | Equations (651) can reduce 6297 to:
% 32.17/9.05 | (537) $false
% 32.17/9.05 |
% 32.17/9.05 |-The branch is then unsatisfiable
% 32.17/9.05 |-Branch two:
% 32.17/9.05 | (6308) ~ (all_0_236_236 = e22)
% 32.17/9.05 | (6309) all_0_240_240 = e22 | all_0_244_244 = e22
% 32.17/9.05 |
% 32.17/9.05 +-Applying beta-rule and splitting (7858), into two cases.
% 32.17/9.05 |-Branch one:
% 32.17/9.05 | (633) all_0_235_235 = e23
% 32.17/9.05 |
% 32.17/9.05 | Equations (633) can reduce 606 to:
% 32.17/9.05 | (537) $false
% 32.17/9.05 |
% 32.17/9.05 |-The branch is then unsatisfiable
% 32.17/9.05 |-Branch two:
% 32.17/9.05 | (606) ~ (all_0_235_235 = e23)
% 32.17/9.05 | (651) all_0_235_235 = e20
% 32.17/9.05 |
% 32.17/9.05 | Equations (651) can reduce 107 to:
% 32.17/9.05 | (8107) ~ (all_0_236_236 = e20)
% 32.17/9.05 |
% 32.17/9.05 | Simplifying 8107 yields:
% 32.17/9.05 | (660) ~ (all_0_236_236 = e20)
% 32.17/9.05 |
% 32.17/9.05 | Equations (651) can reduce 606 to:
% 32.17/9.05 | (671) ~ (e23 = e20)
% 32.17/9.05 |
% 32.17/9.05 | Simplifying 671 yields:
% 32.17/9.05 | (14) ~ (e23 = e20)
% 32.17/9.05 |
% 32.17/9.05 | Equations (651) can reduce 416 to:
% 32.17/9.05 | (654) ~ (e21 = e20)
% 32.17/9.05 |
% 32.17/9.05 | Simplifying 654 yields:
% 32.17/9.05 | (401) ~ (e21 = e20)
% 32.17/9.05 |
% 32.17/9.05 +-Applying beta-rule and splitting (324), into two cases.
% 32.17/9.05 |-Branch one:
% 32.17/9.05 | (656) all_0_236_236 = e20
% 32.17/9.05 |
% 32.17/9.05 | Equations (656) can reduce 660 to:
% 32.17/9.05 | (537) $false
% 32.17/9.05 |
% 32.17/9.05 |-The branch is then unsatisfiable
% 32.17/9.05 |-Branch two:
% 32.17/9.05 | (660) ~ (all_0_236_236 = e20)
% 32.17/9.05 | (661) all_0_240_240 = e20 | all_0_244_244 = e20
% 32.17/9.05 |
% 32.17/9.05 +-Applying beta-rule and splitting (188), into two cases.
% 32.17/9.05 |-Branch one:
% 32.17/9.05 | (6292) all_0_243_243 = e20
% 32.17/9.05 |
% 32.17/9.05 | Combining equations (6284,6292) yields a new equation:
% 32.17/9.05 | (683) e23 = e20
% 32.17/9.05 |
% 32.17/9.05 | Simplifying 683 yields:
% 32.17/9.05 | (684) e23 = e20
% 32.17/9.05 |
% 32.17/9.05 | Equations (684) can reduce 14 to:
% 32.17/9.05 | (537) $false
% 32.17/9.05 |
% 32.17/9.05 |-The branch is then unsatisfiable
% 32.17/9.05 |-Branch two:
% 32.17/9.05 | (668) ~ (all_0_243_243 = e20)
% 32.17/9.05 | (6491) all_0_244_244 = e20 | all_0_245_245 = e20
% 32.17/9.05 |
% 32.17/9.05 +-Applying beta-rule and splitting (6491), into two cases.
% 32.17/9.05 |-Branch one:
% 32.17/9.05 | (667) all_0_244_244 = e20
% 32.17/9.05 |
% 32.17/9.05 | Combining equations (667,581) yields a new equation:
% 32.17/9.05 | (664) e21 = e20
% 32.17/9.05 |
% 32.17/9.05 | Equations (664) can reduce 401 to:
% 32.17/9.05 | (537) $false
% 32.17/9.05 |
% 32.17/9.05 |-The branch is then unsatisfiable
% 32.17/9.05 |-Branch two:
% 32.17/9.05 | (6512) ~ (all_0_244_244 = e20)
% 32.17/9.05 | (6295) all_0_245_245 = e20
% 32.17/9.05 |
% 32.17/9.05 | Equations (6295) can reduce 506 to:
% 32.17/9.05 | (654) ~ (e21 = e20)
% 32.17/9.05 |
% 32.17/9.05 | Simplifying 654 yields:
% 32.17/9.05 | (401) ~ (e21 = e20)
% 32.17/9.05 |
% 32.17/9.05 +-Applying beta-rule and splitting (661), into two cases.
% 32.17/9.05 |-Branch one:
% 32.17/9.05 | (662) all_0_240_240 = e20
% 32.17/9.05 |
% 32.17/9.05 | Equations (662) can reduce 6338 to:
% 32.17/9.05 | (652) ~ (e22 = e20)
% 32.17/9.05 |
% 32.17/9.05 | Simplifying 652 yields:
% 32.17/9.05 | (294) ~ (e22 = e20)
% 32.17/9.05 |
% 32.17/9.05 +-Applying beta-rule and splitting (6315), into two cases.
% 32.17/9.05 |-Branch one:
% 32.17/9.05 | (647) all_0_235_235 = e22
% 32.17/9.05 |
% 32.17/9.05 | Combining equations (651,647) yields a new equation:
% 32.17/9.05 | (658) e22 = e20
% 32.17/9.05 |
% 32.17/9.05 | Equations (658) can reduce 294 to:
% 32.17/9.05 | (537) $false
% 32.17/9.05 |
% 32.17/9.05 |-The branch is then unsatisfiable
% 32.17/9.05 |-Branch two:
% 32.17/9.05 | (646) ~ (all_0_235_235 = e22)
% 32.17/9.05 | (645) all_0_236_236 = e22
% 32.17/9.05 |
% 32.17/9.05 | Equations (645) can reduce 6308 to:
% 32.17/9.05 | (537) $false
% 32.17/9.05 |
% 32.17/9.05 |-The branch is then unsatisfiable
% 32.17/9.05 |-Branch two:
% 32.17/9.05 | (666) ~ (all_0_240_240 = e20)
% 32.17/9.05 | (667) all_0_244_244 = e20
% 32.17/9.05 |
% 32.17/9.05 | Combining equations (667,581) yields a new equation:
% 32.17/9.05 | (664) e21 = e20
% 32.17/9.05 |
% 32.17/9.05 | Equations (664) can reduce 401 to:
% 32.17/9.05 | (537) $false
% 32.17/9.05 |
% 32.17/9.05 |-The branch is then unsatisfiable
% 32.17/9.05 |-Branch two:
% 32.17/9.05 | (6318) ~ (all_0_239_239 = e22)
% 32.17/9.05 | (689) all_0_243_243 = e22
% 32.17/9.05 |
% 32.17/9.05 | Equations (689) can reduce 6287 to:
% 32.17/9.05 | (537) $false
% 32.17/9.05 |
% 32.17/9.05 |-The branch is then unsatisfiable
% 32.17/9.05 |-Branch two:
% 32.17/9.06 | (6625) ~ (all_0_234_234 = e23)
% 32.17/9.06 | (6630) all_0_238_238 = e23 | all_0_242_242 = e23
% 32.17/9.06 |
% 32.17/9.06 +-Applying beta-rule and splitting (576), into two cases.
% 32.17/9.06 |-Branch one:
% 32.17/9.06 | (6310) all_0_234_234 = e22
% 32.17/9.06 |
% 32.17/9.06 | Equations (6310) can reduce 6314 to:
% 32.17/9.06 | (537) $false
% 32.17/9.06 |
% 32.17/9.06 |-The branch is then unsatisfiable
% 32.17/9.06 |-Branch two:
% 32.17/9.06 | (6314) ~ (all_0_234_234 = e22)
% 32.17/9.06 | (604) all_0_234_234 = e23
% 32.17/9.06 |
% 32.17/9.06 | Equations (604) can reduce 6625 to:
% 32.17/9.06 | (537) $false
% 32.17/9.06 |
% 32.17/9.06 |-The branch is then unsatisfiable
% 32.17/9.06 |-Branch two:
% 32.17/9.06 | (6941) ~ (all_0_237_237 = e21)
% 32.17/9.06 | (6942) all_0_241_241 = e21 | all_0_245_245 = e21
% 32.17/9.06 |
% 32.17/9.06 +-Applying beta-rule and splitting (6942), into two cases.
% 32.17/9.06 |-Branch one:
% 32.17/9.06 | (585) all_0_241_241 = e21
% 32.17/9.06 |
% 32.17/9.06 | Equations (585) can reduce 527 to:
% 32.17/9.06 | (537) $false
% 32.17/9.06 |
% 32.17/9.06 |-The branch is then unsatisfiable
% 32.17/9.06 |-Branch two:
% 32.17/9.06 | (527) ~ (all_0_241_241 = e21)
% 32.17/9.06 | (569) all_0_245_245 = e21
% 32.17/9.06 |
% 32.17/9.06 | Equations (569) can reduce 506 to:
% 32.17/9.06 | (537) $false
% 32.17/9.06 |
% 32.17/9.06 |-The branch is then unsatisfiable
% 32.17/9.06 |-Branch two:
% 32.17/9.06 | (502) ~ (all_0_238_238 = e21)
% 32.17/9.06 | (500) all_0_242_242 = e21
% 32.17/9.06 |
% 32.17/9.06 | Equations (500) can reduce 7898 to:
% 32.17/9.06 | (537) $false
% 32.17/9.06 |
% 32.17/9.06 |-The branch is then unsatisfiable
% 32.17/9.06 % SZS output end Proof for theBenchmark
% 32.17/9.06
% 32.17/9.06 8464ms
%------------------------------------------------------------------------------