TSTP Solution File: ALG037+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG037+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n023.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 15:33:51 EDT 2022
% Result : Theorem 10.96s 3.01s
% Output : Proof 21.31s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG037+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.34 % Computer : n023.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jun 8 20:34:08 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.52/0.58 ____ _
% 0.52/0.58 ___ / __ \_____(_)___ ________ __________
% 0.52/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.52/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.52/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.52/0.58
% 0.52/0.58 A Theorem Prover for First-Order Logic
% 0.52/0.58 (ePrincess v.1.0)
% 0.52/0.58
% 0.52/0.58 (c) Philipp Rümmer, 2009-2015
% 0.52/0.58 (c) Peter Backeman, 2014-2015
% 0.52/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.52/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.52/0.58 Bug reports to peter@backeman.se
% 0.52/0.58
% 0.52/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.52/0.58
% 0.52/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.72/0.64 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.76/1.16 Prover 0: Preprocessing ...
% 5.23/1.72 Prover 0: Constructing countermodel ...
% 10.96/3.01 Prover 0: proved (2373ms)
% 10.96/3.01
% 10.96/3.01 No countermodel exists, formula is valid
% 10.96/3.01 % SZS status Theorem for theBenchmark
% 10.96/3.01
% 10.96/3.01 Generating proof ... found it (size 1834)
% 18.91/4.92
% 18.91/4.92 % SZS output start Proof for theBenchmark
% 18.91/4.92 Assumed formulas after preprocessing and simplification:
% 18.91/4.92 | (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] : ( ~ (v21 = v20) & ~ (v21 = v15) & ~ (v21 = v12) & ~ (v21 = e22) & ~ (v21 = e20) & ~ (v20 = v17) & ~ (v20 = v14) & ~ (v20 = e22) & ~ (v20 = e20) & ~ (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v16) & ~ (v19 = v13) & ~ (v19 = e20) & ~ (v18 = v17) & ~ (v18 = v11) & ~ (v18 = e22) & ~ (v18 = e20) & ~ (v17 = v14) & ~ (v17 = e20) & ~ (v16 = v15) & ~ (v16 = v14) & ~ (v16 = v13) & ~ (v16 = e20) & ~ (v15 = v14) & ~ (v15 = v12) & ~ (v15 = e20) & ~ (v14 = e20) & ~ (v13 = v12) & ~ (v13 = v11) & ~ (v13 = e20) & ~ (v12 = v11) & ~ (v12 = e20) & ~ (v11 = e22) & ~ (v11 = e20) & ~ (v10 = v9) & ~ (v10 = v4) & ~ (v10 = v1) & ~ (v10 = e12) & ~ (v10 = e10) & ~ (v9 = v6) & ~ (v9 = v3) & ~ (v9 = e12) & ~ (v9 = e10) & ~ (v8 = v7) & ~ (v8 = v6) & ~ (v8 = v5) & ~ (v8 = v2) & ~ (v8 = e10) & ~ (v7 = v6) & ~ (v7 = v0) & ~ (v7 = e12) & ~ (v7 = e10) & ~ (v6 = v3) & ~ (v6 = e10) & ~ (v5 = v4) & ~ (v5 = v3) & ~ (v5 = v2) & ~ (v5 = e10) & ~ (v4 = v3) & ~ (v4 = v1) & ~ (v4 = e10) & ~ (v3 = e10) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v2 = e10) & ~ (v1 = v0) & ~ (v1 = e10) & ~ (v0 = e12) & ~ (v0 = e10) & ~ (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(unit1, e13) = e13 & op1(unit1, e12) = e12 & op1(unit1, e11) = e11 & op1(unit1, e10) = e10 & op1(e13, unit1) = e13 & op1(e13, e13) = e10 & op1(e13, e12) = v10 & op1(e13, e11) = e12 & op1(e13, e10) = v9 & op1(e12, unit1) = e12 & op1(e12, e13) = v8 & op1(e12, e12) = e10 & op1(e12, e11) = v7 & op1(e12, e10) = v6 & op1(e11, unit1) = e11 & op1(e11, e13) = v5 & op1(e11, e12) = v4 & op1(e11, e11) = e10 & op1(e11, e10) = v3 & op1(e10, unit1) = e10 & op1(e10, e13) = v2 & op1(e10, e12) = v1 & op1(e10, e11) = v0 & op1(e10, e10) = e10 & h1(v10) = v38 & h1(v9) = v37 & h1(v8) = v35 & h1(v7) = v32 & h1(v6) = v30 & h1(v5) = v29 & h1(v4) = v27 & h1(v3) = v26 & h1(v2) = v25 & h1(v1) = v23 & h1(v0) = v22 & h1(e13) = e21 & h1(e12) = v14 & h1(e11) = e20 & h1(e10) = e20 & h2(v10) = v56 & h2(v9) = v55 & h2(v8) = v53 & h2(v7) = v50 & h2(v6) = v48 & h2(v5) = v47 & h2(v4) = v45 & h2(v3) = v44 & h2(v2) = v43 & h2(v1) = v41 & h2(v0) = v40 & h2(e13) = e22 & h2(e12) = v17 & h2(e11) = e20 & h2(e10) = e20 & h3(v10) = v74 & h3(v9) = v73 & h3(v8) = v71 & h3(v7) = v68 & h3(v6) = v66 & h3(v5) = v65 & h3(v4) = v63 & h3(v3) = v62 & h3(v2) = v61 & h3(v1) = v59 & h3(v0) = v58 & h3(e13) = e23 & h3(e12) = v20 & h3(e11) = e20 & h3(e10) = e20 & h4(v10) = v92 & h4(v9) = v91 & h4(v8) = v89 & h4(v7) = v86 & h4(v6) = v84 & h4(v5) = v83 & h4(v4) = v81 & h4(v3) = v80 & h4(v2) = v79 & h4(v1) = v77 & h4(v0) = v76 & h4(e13) = e20 & h4(e12) = v11 & h4(e11) = e21 & h4(e10) = e20 & h5(v10) = v110 & h5(v9) = v109 & h5(v8) = v107 & h5(v7) = v104 & h5(v6) = v102 & h5(v5) = v101 & h5(v4) = v99 & h5(v3) = v98 & h5(v2) = v97 & h5(v1) = v95 & h5(v0) = v94 & h5(e13) = e22 & h5(e12) = v18 & h5(e11) = e21 & h5(e10) = e20 & h6(v10) = v122 & h6(v9) = v121 & h6(v8) = v120 & h6(v7) = v119 & h6(v6) = v118 & h6(v5) = v117 & h6(v4) = v116 & h6(v3) = v115 & h6(v2) = v114 & h6(v1) = v113 & h6(v0) = v112 & h6(e13) = e23 & h6(e12) = e22 & h6(e11) = e21 & h6(e10) = e20 & h7(v10) = v139 & h7(v9) = v138 & h7(v8) = v136 & h7(v7) = v133 & h7(v6) = v131 & h7(v5) = v130 & h7(v4) = v128 & h7(v3) = v127 & h7(v2) = v126 & h7(v1) = v124 & h7(v0) = v123 & h7(e13) = e20 & h7(e12) = v12 & h7(e11) = e22 & h7(e10) = e20 & h8(v10) = v157 & h8(v9) = v156 & h8(v8) = v154 & h8(v7) = v151 & h8(v6) = v149 & h8(v5) = v148 & h8(v4) = v146 & h8(v3) = v145 & h8(v2) = v144 & h8(v1) = v142 & h8(v0) = v141 & h8(e13) = e21 & h8(e12) = v15 & h8(e11) = e22 & h8(e10) = e20 & h9(v10) = v175 & h9(v9) = v174 & h9(v8) = v172 & h9(v7) = v169 & h9(v6) = v167 & h9(v5) = v166 & h9(v4) = v164 & h9(v3) = v163 & h9(v2) = v162 & h9(v1) = v160 & h9(v0) = v159 & h9(e13) = e23 & h9(e12) = v21 & h9(e11) = e22 & h9(e10) = e20 & h10(v10) = v193 & h10(v9) = v192 & h10(v8) = v190 & h10(v7) = v187 & h10(v6) = v185 & h10(v5) = v184 & h10(v4) = v182 & h10(v3) = v181 & h10(v2) = v180 & h10(v1) = v178 & h10(v0) = v177 & h10(e13) = e20 & h10(e12) = v13 & h10(e11) = e23 & h10(e10) = e20 & h11(v10) = v211 & h11(v9) = v210 & h11(v8) = v208 & h11(v7) = v205 & h11(v6) = v203 & h11(v5) = v202 & h11(v4) = v200 & h11(v3) = v199 & h11(v2) = v198 & h11(v1) = v196 & h11(v0) = v195 & h11(e13) = e21 & h11(e12) = v16 & h11(e11) = e23 & h11(e10) = e20 & h12(v10) = v229 & h12(v9) = v228 & h12(v8) = v226 & h12(v7) = v223 & h12(v6) = v221 & h12(v5) = v220 & h12(v4) = v218 & h12(v3) = v217 & h12(v2) = v216 & h12(v1) = v214 & h12(v0) = v213 & h12(e13) = e22 & h12(e12) = v19 & h12(e11) = e23 & h12(e10) = e20 & op2(v21, v21) = v171 & op2(v21, e23) = v173 & op2(v21, e22) = v170 & op2(v21, e20) = v168 & op2(v20, v20) = v70 & op2(v20, e23) = v72 & op2(v20, e20) = v69 & op2(v20, e20) = v67 & op2(v19, v19) = v225 & op2(v19, e23) = v224 & op2(v19, e22) = v227 & op2(v19, e20) = v222 & op2(v18, v18) = v106 & op2(v18, e22) = v108 & op2(v18, e21) = v105 & op2(v18, e20) = v103 & op2(v17, v17) = v52 & op2(v17, e22) = v54 & op2(v17, e20) = v51 & op2(v17, e20) = v49 & op2(v16, v16) = v207 & op2(v16, e23) = v206 & op2(v16, e21) = v209 & op2(v16, e20) = v204 & op2(v15, v15) = v153 & op2(v15, e22) = v152 & op2(v15, e21) = v155 & op2(v15, e20) = v150 & op2(v14, v14) = v34 & op2(v14, e21) = v36 & op2(v14, e20) = v33 & op2(v14, e20) = v31 & op2(v13, v13) = v189 & op2(v13, e23) = v188 & op2(v13, e20) = v191 & op2(v13, e20) = v186 & op2(v12, v12) = v135 & op2(v12, e22) = v134 & op2(v12, e20) = v137 & op2(v12, e20) = v132 & op2(v11, v11) = v88 & op2(v11, e21) = v87 & op2(v11, e20) = v90 & op2(v11, e20) = v85 & op2(unit2, e23) = e23 & op2(unit2, e22) = e22 & op2(unit2, e21) = e21 & op2(unit2, e20) = e20 & op2(e23, v21) = v176 & op2(e23, v20) = v75 & op2(e23, v19) = v219 & op2(e23, v16) = v201 & op2(e23, v13) = v183 & op2(e23, unit2) = e23 & op2(e23, e23) = e20 & op2(e23, e22) = v21 & op2(e23, e21) = e22 & op2(e23, e20) = v20 & op2(e22, v21) = v165 & op2(e22, v19) = v230 & op2(e22, v18) = v111 & op2(e22, v17) = v57 & op2(e22, v15) = v147 & op2(e22, v12) = v129 & op2(e22, unit2) = e22 & op2(e22, e23) = v19 & op2(e22, e22) = e20 & op2(e22, e21) = v18 & op2(e22, e20) = v17 & op2(e21, v18) = v100 & op2(e21, v16) = v212 & op2(e21, v15) = v158 & op2(e21, v14) = v39 & op2(e21, v11) = v82 & op2(e21, unit2) = e21 & op2(e21, e23) = v16 & op2(e21, e22) = v15 & op2(e21, e21) = e20 & op2(e21, e20) = v14 & op2(e20, v21) = v161 & op2(e20, v20) = v64 & op2(e20, v20) = v60 & op2(e20, v19) = v215 & op2(e20, v18) = v96 & op2(e20, v17) = v46 & op2(e20, v17) = v42 & op2(e20, v16) = v197 & op2(e20, v15) = v143 & op2(e20, v14) = v28 & op2(e20, v14) = v24 & op2(e20, v13) = v194 & op2(e20, v13) = v179 & op2(e20, v12) = v140 & op2(e20, v12) = v125 & op2(e20, v11) = v93 & op2(e20, v11) = v78 & op2(e20, unit2) = e20 & op2(e20, e23) = v13 & op2(e20, e22) = v12 & op2(e20, e21) = v11 & op2(e20, e20) = e20 & ! [v231] : ! [v232] : ! [v233] : ! [v234] : (v232 = v231 | ~ (op1(v234, v233) = v232) | ~ (op1(v234, v233) = v231)) & ! [v231] : ! [v232] : ! [v233] : ! [v234] : (v232 = v231 | ~ (op2(v234, v233) = v232) | ~ (op2(v234, v233) = v231)) & ! [v231] : ! [v232] : ! [v233] : (v232 = v231 | ~ (h1(v233) = v232) | ~ (h1(v233) = v231)) & ! [v231] : ! [v232] : ! [v233] : (v232 = v231 | ~ (h2(v233) = v232) | ~ (h2(v233) = v231)) & ! [v231] : ! [v232] : ! [v233] : (v232 = v231 | ~ (h3(v233) = v232) | ~ (h3(v233) = v231)) & ! [v231] : ! [v232] : ! [v233] : (v232 = v231 | ~ (h4(v233) = v232) | ~ (h4(v233) = v231)) & ! [v231] : ! [v232] : ! [v233] : (v232 = v231 | ~ (h5(v233) = v232) | ~ (h5(v233) = v231)) & ! [v231] : ! [v232] : ! [v233] : (v232 = v231 | ~ (h6(v233) = v232) | ~ (h6(v233) = v231)) & ! [v231] : ! [v232] : ! [v233] : (v232 = v231 | ~ (h7(v233) = v232) | ~ (h7(v233) = v231)) & ! [v231] : ! [v232] : ! [v233] : (v232 = v231 | ~ (h8(v233) = v232) | ~ (h8(v233) = v231)) & ! [v231] : ! [v232] : ! [v233] : (v232 = v231 | ~ (h9(v233) = v232) | ~ (h9(v233) = v231)) & ! [v231] : ! [v232] : ! [v233] : (v232 = v231 | ~ (h10(v233) = v232) | ~ (h10(v233) = v231)) & ! [v231] : ! [v232] : ! [v233] : (v232 = v231 | ~ (h11(v233) = v232) | ~ (h11(v233) = v231)) & ! [v231] : ! [v232] : ! [v233] : (v232 = v231 | ~ (h12(v233) = v232) | ~ (h12(v233) = v231)) & ( ~ (v230 = v229) | ~ (v228 = v17) | ~ (v227 = v226) | ~ (v225 = e20) | ~ (v224 = v223) | ~ (v222 = v221) | ~ (v220 = v21) | ~ (v219 = v218) | ~ (v217 = v20) | ~ (v216 = v12) | ~ (v215 = v214) | ~ (v213 = v13) | ~ (v19 = e21)) & ( ~ (v212 = v211) | ~ (v210 = v14) | ~ (v209 = v208) | ~ (v207 = e20) | ~ (v206 = v205) | ~ (v204 = v203) | ~ (v202 = e22) | ~ (v201 = v200) | ~ (v199 = v20) | ~ (v198 = v11) | ~ (v197 = v196) | ~ (v195 = v13) | ~ (v16 = e22)) & ( ~ (v176 = v175) | ~ (v174 = v20) | ~ (v173 = v172) | ~ (v171 = e20) | ~ (v170 = v169) | ~ (v168 = v167) | ~ (v166 = v19) | ~ (v165 = v164) | ~ (v163 = v17) | ~ (v162 = v13) | ~ (v161 = v160) | ~ (v159 = v12) | ~ (v21 = e21)) & ( ~ (v158 = v157) | ~ (v156 = v14) | ~ (v155 = v154) | ~ (v153 = e20) | ~ (v152 = v151) | ~ (v150 = v149) | ~ (v148 = v18) | ~ (v147 = v146) | ~ (v145 = v17) | ~ (v144 = v11) | ~ (v143 = v142) | ~ (v141 = v12) | ~ (v15 = e23)) & ( ~ (v122 = v21) | ~ (v121 = v20) | ~ (v120 = v19) | ~ (v119 = v18) | ~ (v118 = v17) | ~ (v117 = v16) | ~ (v116 = v15) | ~ (v115 = v14) | ~ (v114 = v13) | ~ (v113 = v12) | ~ (v112 = v11)) & ( ~ (v111 = v110) | ~ (v109 = v17) | ~ (v108 = v107) | ~ (v106 = e20) | ~ (v105 = v104) | ~ (v103 = v102) | ~ (v101 = v15) | ~ (v100 = v99) | ~ (v98 = v14) | ~ (v97 = v12) | ~ (v96 = v95) | ~ (v94 = v11) | ~ (v18 = e23)) & (v21 = e23 | v21 = e21) & (v21 = e23 | v20 = e23) & (v21 = e23 | v15 = e23 | v12 = e23) & (v21 = e21 | v20 = e21) & (v21 = e21 | v15 = e21 | v12 = e21) & (v20 = e23 | v20 = e21) & (v20 = e23 | v17 = e23 | v14 = e23) & (v20 = e21 | v17 = e21 | v14 = e21) & (v19 = e23 | v19 = e22 | v19 = e21) & (v19 = e23 | v18 = e23 | v17 = e23) & (v19 = e23 | v16 = e23 | v13 = e23) & (v19 = e22 | v17 = e22) & (v19 = e22 | v16 = e22 | v13 = e22) & (v19 = e21 | v18 = e21 | v17 = e21) & (v19 = e21 | v16 = e21 | v13 = e21) & (v18 = e23 | v18 = e21) & (v18 = e23 | v11 = e23) & (v18 = e21 | v11 = e21) & (v17 = e23 | v17 = e22 | v17 = e21) & (v17 = e22 | v14 = e22) & (v16 = e23 | v16 = e22 | v16 = e21) & (v16 = e23 | v15 = e23 | v14 = e23) & (v16 = e22 | v15 = e22 | v14 = e22) & (v16 = e21 | v15 = e21 | v14 = e21) & (v15 = e23 | v15 = e22 | v15 = e21) & (v15 = e22 | v12 = e22) & (v14 = e23 | v14 = e22 | v14 = e21) & (v13 = e23 | v13 = e22 | v13 = e21) & (v13 = e23 | v12 = e23 | v11 = e23) & (v13 = e22 | v12 = e22) & (v13 = e21 | v12 = e21 | v11 = e21) & (v12 = e23 | v12 = e22 | v12 = e21) & (v11 = e23 | v11 = e21) & (v10 = e13 | v10 = e11) & (v10 = e13 | v9 = e13) & (v10 = e13 | v4 = e13 | v1 = e13) & (v10 = e11 | v9 = e11) & (v10 = e11 | v4 = e11 | v1 = e11) & (v9 = e13 | v9 = e11) & (v9 = e13 | v6 = e13 | v3 = e13) & (v9 = e11 | v6 = e11 | v3 = e11) & (v8 = e13 | v8 = e12 | v8 = e11) & (v8 = e13 | v7 = e13 | v6 = e13) & (v8 = e13 | v5 = e13 | v2 = e13) & (v8 = e12 | v6 = e12) & (v8 = e12 | v5 = e12 | v2 = e12) & (v8 = e11 | v7 = e11 | v6 = e11) & (v8 = e11 | v5 = e11 | v2 = e11) & (v7 = e13 | v7 = e11) & (v7 = e13 | v0 = e13) & (v7 = e11 | v0 = e11) & (v6 = e13 | v6 = e12 | v6 = e11) & (v6 = e12 | v3 = e12) & (v5 = e13 | v5 = e12 | v5 = e11) & (v5 = e13 | v4 = e13 | v3 = e13) & (v5 = e12 | v4 = e12 | v3 = e12) & (v5 = e11 | v4 = e11 | v3 = e11) & (v4 = e13 | v4 = e12 | v4 = e11) & (v4 = e12 | v1 = e12) & (v3 = e13 | v3 = e12 | v3 = e11) & (v2 = e13 | v2 = e12 | v2 = e11) & (v2 = e13 | v1 = e13 | v0 = e13) & (v2 = e12 | v1 = e12) & (v2 = e11 | v1 = e11 | v0 = e11) & (v1 = e13 | v1 = e12 | v1 = e11) & (v0 = e13 | v0 = e11) & (unit2 = e23 | unit2 = e22 | unit2 = e21 | unit2 = e20) & (unit1 = e13 | unit1 = e12 | unit1 = e11 | unit1 = e10))
% 19.46/4.99 | 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 yields:
% 19.46/4.99 | (1) ~ (all_0_209_209 = all_0_210_210) & ~ (all_0_209_209 = all_0_215_215) & ~ (all_0_209_209 = all_0_218_218) & ~ (all_0_209_209 = e22) & ~ (all_0_209_209 = e20) & ~ (all_0_210_210 = all_0_213_213) & ~ (all_0_210_210 = all_0_216_216) & ~ (all_0_210_210 = e22) & ~ (all_0_210_210 = e20) & ~ (all_0_211_211 = all_0_212_212) & ~ (all_0_211_211 = all_0_213_213) & ~ (all_0_211_211 = all_0_214_214) & ~ (all_0_211_211 = all_0_217_217) & ~ (all_0_211_211 = e20) & ~ (all_0_212_212 = all_0_213_213) & ~ (all_0_212_212 = all_0_219_219) & ~ (all_0_212_212 = e22) & ~ (all_0_212_212 = e20) & ~ (all_0_213_213 = all_0_216_216) & ~ (all_0_213_213 = e20) & ~ (all_0_214_214 = all_0_215_215) & ~ (all_0_214_214 = all_0_216_216) & ~ (all_0_214_214 = all_0_217_217) & ~ (all_0_214_214 = e20) & ~ (all_0_215_215 = all_0_216_216) & ~ (all_0_215_215 = all_0_218_218) & ~ (all_0_215_215 = e20) & ~ (all_0_216_216 = e20) & ~ (all_0_217_217 = all_0_218_218) & ~ (all_0_217_217 = all_0_219_219) & ~ (all_0_217_217 = e20) & ~ (all_0_218_218 = all_0_219_219) & ~ (all_0_218_218 = e20) & ~ (all_0_219_219 = e22) & ~ (all_0_219_219 = e20) & ~ (all_0_220_220 = all_0_221_221) & ~ (all_0_220_220 = all_0_226_226) & ~ (all_0_220_220 = all_0_229_229) & ~ (all_0_220_220 = e12) & ~ (all_0_220_220 = e10) & ~ (all_0_221_221 = all_0_224_224) & ~ (all_0_221_221 = all_0_227_227) & ~ (all_0_221_221 = e12) & ~ (all_0_221_221 = e10) & ~ (all_0_222_222 = all_0_223_223) & ~ (all_0_222_222 = all_0_224_224) & ~ (all_0_222_222 = all_0_225_225) & ~ (all_0_222_222 = all_0_228_228) & ~ (all_0_222_222 = e10) & ~ (all_0_223_223 = all_0_224_224) & ~ (all_0_223_223 = all_0_230_230) & ~ (all_0_223_223 = e12) & ~ (all_0_223_223 = e10) & ~ (all_0_224_224 = all_0_227_227) & ~ (all_0_224_224 = e10) & ~ (all_0_225_225 = all_0_226_226) & ~ (all_0_225_225 = all_0_227_227) & ~ (all_0_225_225 = all_0_228_228) & ~ (all_0_225_225 = e10) & ~ (all_0_226_226 = all_0_227_227) & ~ (all_0_226_226 = all_0_229_229) & ~ (all_0_226_226 = e10) & ~ (all_0_227_227 = e10) & ~ (all_0_228_228 = all_0_229_229) & ~ (all_0_228_228 = all_0_230_230) & ~ (all_0_228_228 = e10) & ~ (all_0_229_229 = all_0_230_230) & ~ (all_0_229_229 = e10) & ~ (all_0_230_230 = e12) & ~ (all_0_230_230 = e10) & ~ (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(unit1, e13) = e13 & op1(unit1, e12) = e12 & op1(unit1, e11) = e11 & op1(unit1, e10) = e10 & op1(e13, unit1) = e13 & op1(e13, e13) = e10 & op1(e13, e12) = all_0_220_220 & op1(e13, e11) = e12 & op1(e13, e10) = all_0_221_221 & op1(e12, unit1) = e12 & op1(e12, e13) = all_0_222_222 & op1(e12, e12) = e10 & op1(e12, e11) = all_0_223_223 & op1(e12, e10) = all_0_224_224 & op1(e11, unit1) = e11 & op1(e11, e13) = all_0_225_225 & op1(e11, e12) = all_0_226_226 & op1(e11, e11) = e10 & op1(e11, e10) = all_0_227_227 & op1(e10, unit1) = e10 & op1(e10, e13) = all_0_228_228 & op1(e10, e12) = all_0_229_229 & op1(e10, e11) = all_0_230_230 & op1(e10, e10) = e10 & h1(all_0_220_220) = all_0_192_192 & h1(all_0_221_221) = all_0_193_193 & h1(all_0_222_222) = all_0_195_195 & h1(all_0_223_223) = all_0_198_198 & h1(all_0_224_224) = all_0_200_200 & h1(all_0_225_225) = all_0_201_201 & h1(all_0_226_226) = all_0_203_203 & h1(all_0_227_227) = all_0_204_204 & h1(all_0_228_228) = all_0_205_205 & h1(all_0_229_229) = all_0_207_207 & h1(all_0_230_230) = all_0_208_208 & h1(e13) = e21 & h1(e12) = all_0_216_216 & h1(e11) = e20 & h1(e10) = e20 & h2(all_0_220_220) = all_0_174_174 & h2(all_0_221_221) = all_0_175_175 & h2(all_0_222_222) = all_0_177_177 & h2(all_0_223_223) = all_0_180_180 & h2(all_0_224_224) = all_0_182_182 & h2(all_0_225_225) = all_0_183_183 & h2(all_0_226_226) = all_0_185_185 & h2(all_0_227_227) = all_0_186_186 & h2(all_0_228_228) = all_0_187_187 & h2(all_0_229_229) = all_0_189_189 & h2(all_0_230_230) = all_0_190_190 & h2(e13) = e22 & h2(e12) = all_0_213_213 & h2(e11) = e20 & h2(e10) = e20 & h3(all_0_220_220) = all_0_156_156 & h3(all_0_221_221) = all_0_157_157 & h3(all_0_222_222) = all_0_159_159 & h3(all_0_223_223) = all_0_162_162 & h3(all_0_224_224) = all_0_164_164 & h3(all_0_225_225) = all_0_165_165 & h3(all_0_226_226) = all_0_167_167 & h3(all_0_227_227) = all_0_168_168 & h3(all_0_228_228) = all_0_169_169 & h3(all_0_229_229) = all_0_171_171 & h3(all_0_230_230) = all_0_172_172 & h3(e13) = e23 & h3(e12) = all_0_210_210 & h3(e11) = e20 & h3(e10) = e20 & h4(all_0_220_220) = all_0_138_138 & h4(all_0_221_221) = all_0_139_139 & h4(all_0_222_222) = all_0_141_141 & h4(all_0_223_223) = all_0_144_144 & h4(all_0_224_224) = all_0_146_146 & h4(all_0_225_225) = all_0_147_147 & h4(all_0_226_226) = all_0_149_149 & h4(all_0_227_227) = all_0_150_150 & h4(all_0_228_228) = all_0_151_151 & h4(all_0_229_229) = all_0_153_153 & h4(all_0_230_230) = all_0_154_154 & h4(e13) = e20 & h4(e12) = all_0_219_219 & h4(e11) = e21 & h4(e10) = e20 & h5(all_0_220_220) = all_0_120_120 & h5(all_0_221_221) = all_0_121_121 & h5(all_0_222_222) = all_0_123_123 & h5(all_0_223_223) = all_0_126_126 & h5(all_0_224_224) = all_0_128_128 & h5(all_0_225_225) = all_0_129_129 & h5(all_0_226_226) = all_0_131_131 & h5(all_0_227_227) = all_0_132_132 & h5(all_0_228_228) = all_0_133_133 & h5(all_0_229_229) = all_0_135_135 & h5(all_0_230_230) = all_0_136_136 & h5(e13) = e22 & h5(e12) = all_0_212_212 & h5(e11) = e21 & h5(e10) = e20 & h6(all_0_220_220) = all_0_108_108 & h6(all_0_221_221) = all_0_109_109 & h6(all_0_222_222) = all_0_110_110 & h6(all_0_223_223) = all_0_111_111 & h6(all_0_224_224) = all_0_112_112 & h6(all_0_225_225) = all_0_113_113 & h6(all_0_226_226) = all_0_114_114 & h6(all_0_227_227) = all_0_115_115 & h6(all_0_228_228) = all_0_116_116 & h6(all_0_229_229) = all_0_117_117 & h6(all_0_230_230) = all_0_118_118 & h6(e13) = e23 & h6(e12) = e22 & h6(e11) = e21 & h6(e10) = e20 & h7(all_0_220_220) = all_0_91_91 & h7(all_0_221_221) = all_0_92_92 & h7(all_0_222_222) = all_0_94_94 & h7(all_0_223_223) = all_0_97_97 & h7(all_0_224_224) = all_0_99_99 & h7(all_0_225_225) = all_0_100_100 & h7(all_0_226_226) = all_0_102_102 & h7(all_0_227_227) = all_0_103_103 & h7(all_0_228_228) = all_0_104_104 & h7(all_0_229_229) = all_0_106_106 & h7(all_0_230_230) = all_0_107_107 & h7(e13) = e20 & h7(e12) = all_0_218_218 & h7(e11) = e22 & h7(e10) = e20 & h8(all_0_220_220) = all_0_73_73 & h8(all_0_221_221) = all_0_74_74 & h8(all_0_222_222) = all_0_76_76 & h8(all_0_223_223) = all_0_79_79 & h8(all_0_224_224) = all_0_81_81 & h8(all_0_225_225) = all_0_82_82 & h8(all_0_226_226) = all_0_84_84 & h8(all_0_227_227) = all_0_85_85 & h8(all_0_228_228) = all_0_86_86 & h8(all_0_229_229) = all_0_88_88 & h8(all_0_230_230) = all_0_89_89 & h8(e13) = e21 & h8(e12) = all_0_215_215 & h8(e11) = e22 & h8(e10) = e20 & h9(all_0_220_220) = all_0_55_55 & h9(all_0_221_221) = all_0_56_56 & h9(all_0_222_222) = all_0_58_58 & h9(all_0_223_223) = all_0_61_61 & h9(all_0_224_224) = all_0_63_63 & h9(all_0_225_225) = all_0_64_64 & h9(all_0_226_226) = all_0_66_66 & h9(all_0_227_227) = all_0_67_67 & h9(all_0_228_228) = all_0_68_68 & h9(all_0_229_229) = all_0_70_70 & h9(all_0_230_230) = all_0_71_71 & h9(e13) = e23 & h9(e12) = all_0_209_209 & h9(e11) = e22 & h9(e10) = e20 & h10(all_0_220_220) = all_0_37_37 & h10(all_0_221_221) = all_0_38_38 & h10(all_0_222_222) = all_0_40_40 & h10(all_0_223_223) = all_0_43_43 & h10(all_0_224_224) = all_0_45_45 & h10(all_0_225_225) = all_0_46_46 & h10(all_0_226_226) = all_0_48_48 & h10(all_0_227_227) = all_0_49_49 & h10(all_0_228_228) = all_0_50_50 & h10(all_0_229_229) = all_0_52_52 & h10(all_0_230_230) = all_0_53_53 & h10(e13) = e20 & h10(e12) = all_0_217_217 & h10(e11) = e23 & h10(e10) = e20 & h11(all_0_220_220) = all_0_19_19 & h11(all_0_221_221) = all_0_20_20 & h11(all_0_222_222) = all_0_22_22 & h11(all_0_223_223) = all_0_25_25 & h11(all_0_224_224) = all_0_27_27 & h11(all_0_225_225) = all_0_28_28 & h11(all_0_226_226) = all_0_30_30 & h11(all_0_227_227) = all_0_31_31 & h11(all_0_228_228) = all_0_32_32 & h11(all_0_229_229) = all_0_34_34 & h11(all_0_230_230) = all_0_35_35 & h11(e13) = e21 & h11(e12) = all_0_214_214 & h11(e11) = e23 & h11(e10) = e20 & h12(all_0_220_220) = all_0_1_1 & h12(all_0_221_221) = all_0_2_2 & h12(all_0_222_222) = all_0_4_4 & h12(all_0_223_223) = all_0_7_7 & h12(all_0_224_224) = all_0_9_9 & h12(all_0_225_225) = all_0_10_10 & h12(all_0_226_226) = all_0_12_12 & h12(all_0_227_227) = all_0_13_13 & h12(all_0_228_228) = all_0_14_14 & h12(all_0_229_229) = all_0_16_16 & h12(all_0_230_230) = all_0_17_17 & h12(e13) = e22 & h12(e12) = all_0_211_211 & h12(e11) = e23 & h12(e10) = e20 & op2(all_0_209_209, all_0_209_209) = all_0_59_59 & op2(all_0_209_209, e23) = all_0_57_57 & op2(all_0_209_209, e22) = all_0_60_60 & op2(all_0_209_209, e20) = all_0_62_62 & op2(all_0_210_210, all_0_210_210) = all_0_160_160 & op2(all_0_210_210, e23) = all_0_158_158 & op2(all_0_210_210, e20) = all_0_161_161 & op2(all_0_210_210, e20) = all_0_163_163 & op2(all_0_211_211, all_0_211_211) = all_0_5_5 & op2(all_0_211_211, e23) = all_0_6_6 & op2(all_0_211_211, e22) = all_0_3_3 & op2(all_0_211_211, e20) = all_0_8_8 & op2(all_0_212_212, all_0_212_212) = all_0_124_124 & op2(all_0_212_212, e22) = all_0_122_122 & op2(all_0_212_212, e21) = all_0_125_125 & op2(all_0_212_212, e20) = all_0_127_127 & op2(all_0_213_213, all_0_213_213) = all_0_178_178 & op2(all_0_213_213, e22) = all_0_176_176 & op2(all_0_213_213, e20) = all_0_179_179 & op2(all_0_213_213, e20) = all_0_181_181 & op2(all_0_214_214, all_0_214_214) = all_0_23_23 & op2(all_0_214_214, e23) = all_0_24_24 & op2(all_0_214_214, e21) = all_0_21_21 & op2(all_0_214_214, e20) = all_0_26_26 & op2(all_0_215_215, all_0_215_215) = all_0_77_77 & op2(all_0_215_215, e22) = all_0_78_78 & op2(all_0_215_215, e21) = all_0_75_75 & op2(all_0_215_215, e20) = all_0_80_80 & op2(all_0_216_216, all_0_216_216) = all_0_196_196 & op2(all_0_216_216, e21) = all_0_194_194 & op2(all_0_216_216, e20) = all_0_197_197 & op2(all_0_216_216, e20) = all_0_199_199 & op2(all_0_217_217, all_0_217_217) = all_0_41_41 & op2(all_0_217_217, e23) = all_0_42_42 & op2(all_0_217_217, e20) = all_0_39_39 & op2(all_0_217_217, e20) = all_0_44_44 & op2(all_0_218_218, all_0_218_218) = all_0_95_95 & op2(all_0_218_218, e22) = all_0_96_96 & op2(all_0_218_218, e20) = all_0_93_93 & op2(all_0_218_218, e20) = all_0_98_98 & op2(all_0_219_219, all_0_219_219) = all_0_142_142 & op2(all_0_219_219, e21) = all_0_143_143 & op2(all_0_219_219, e20) = all_0_140_140 & op2(all_0_219_219, e20) = all_0_145_145 & op2(unit2, e23) = e23 & op2(unit2, e22) = e22 & op2(unit2, e21) = e21 & op2(unit2, e20) = e20 & op2(e23, all_0_209_209) = all_0_54_54 & op2(e23, all_0_210_210) = all_0_155_155 & op2(e23, all_0_211_211) = all_0_11_11 & op2(e23, all_0_214_214) = all_0_29_29 & op2(e23, all_0_217_217) = all_0_47_47 & op2(e23, unit2) = e23 & op2(e23, e23) = e20 & op2(e23, e22) = all_0_209_209 & op2(e23, e21) = e22 & op2(e23, e20) = all_0_210_210 & op2(e22, all_0_209_209) = all_0_65_65 & op2(e22, all_0_211_211) = all_0_0_0 & op2(e22, all_0_212_212) = all_0_119_119 & op2(e22, all_0_213_213) = all_0_173_173 & op2(e22, all_0_215_215) = all_0_83_83 & op2(e22, all_0_218_218) = all_0_101_101 & op2(e22, unit2) = e22 & op2(e22, e23) = all_0_211_211 & op2(e22, e22) = e20 & op2(e22, e21) = all_0_212_212 & op2(e22, e20) = all_0_213_213 & op2(e21, all_0_212_212) = all_0_130_130 & op2(e21, all_0_214_214) = all_0_18_18 & op2(e21, all_0_215_215) = all_0_72_72 & op2(e21, all_0_216_216) = all_0_191_191 & op2(e21, all_0_219_219) = all_0_148_148 & op2(e21, unit2) = e21 & op2(e21, e23) = all_0_214_214 & op2(e21, e22) = all_0_215_215 & op2(e21, e21) = e20 & op2(e21, e20) = all_0_216_216 & op2(e20, all_0_209_209) = all_0_69_69 & op2(e20, all_0_210_210) = all_0_166_166 & op2(e20, all_0_210_210) = all_0_170_170 & op2(e20, all_0_211_211) = all_0_15_15 & op2(e20, all_0_212_212) = all_0_134_134 & op2(e20, all_0_213_213) = all_0_184_184 & op2(e20, all_0_213_213) = all_0_188_188 & op2(e20, all_0_214_214) = all_0_33_33 & op2(e20, all_0_215_215) = all_0_87_87 & op2(e20, all_0_216_216) = all_0_202_202 & op2(e20, all_0_216_216) = all_0_206_206 & op2(e20, all_0_217_217) = all_0_36_36 & op2(e20, all_0_217_217) = all_0_51_51 & op2(e20, all_0_218_218) = all_0_90_90 & op2(e20, all_0_218_218) = all_0_105_105 & op2(e20, all_0_219_219) = all_0_137_137 & op2(e20, all_0_219_219) = all_0_152_152 & op2(e20, unit2) = e20 & op2(e20, e23) = all_0_217_217 & op2(e20, e22) = all_0_218_218 & op2(e20, e21) = all_0_219_219 & op2(e20, e20) = e20 & ! [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)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h5(v2) = v1) | ~ (h5(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h6(v2) = v1) | ~ (h6(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h7(v2) = v1) | ~ (h7(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h8(v2) = v1) | ~ (h8(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h9(v2) = v1) | ~ (h9(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h10(v2) = v1) | ~ (h10(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h11(v2) = v1) | ~ (h11(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h12(v2) = v1) | ~ (h12(v2) = v0)) & ( ~ (all_0_0_0 = all_0_1_1) | ~ (all_0_2_2 = all_0_213_213) | ~ (all_0_3_3 = all_0_4_4) | ~ (all_0_5_5 = e20) | ~ (all_0_6_6 = all_0_7_7) | ~ (all_0_8_8 = all_0_9_9) | ~ (all_0_10_10 = all_0_209_209) | ~ (all_0_11_11 = all_0_12_12) | ~ (all_0_13_13 = all_0_210_210) | ~ (all_0_14_14 = all_0_218_218) | ~ (all_0_15_15 = all_0_16_16) | ~ (all_0_17_17 = all_0_217_217) | ~ (all_0_211_211 = e21)) & ( ~ (all_0_18_18 = all_0_19_19) | ~ (all_0_20_20 = all_0_216_216) | ~ (all_0_21_21 = all_0_22_22) | ~ (all_0_23_23 = e20) | ~ (all_0_24_24 = all_0_25_25) | ~ (all_0_26_26 = all_0_27_27) | ~ (all_0_28_28 = e22) | ~ (all_0_29_29 = all_0_30_30) | ~ (all_0_31_31 = all_0_210_210) | ~ (all_0_32_32 = all_0_219_219) | ~ (all_0_33_33 = all_0_34_34) | ~ (all_0_35_35 = all_0_217_217) | ~ (all_0_214_214 = e22)) & ( ~ (all_0_54_54 = all_0_55_55) | ~ (all_0_56_56 = all_0_210_210) | ~ (all_0_57_57 = all_0_58_58) | ~ (all_0_59_59 = e20) | ~ (all_0_60_60 = all_0_61_61) | ~ (all_0_62_62 = all_0_63_63) | ~ (all_0_64_64 = all_0_211_211) | ~ (all_0_65_65 = all_0_66_66) | ~ (all_0_67_67 = all_0_213_213) | ~ (all_0_68_68 = all_0_217_217) | ~ (all_0_69_69 = all_0_70_70) | ~ (all_0_71_71 = all_0_218_218) | ~ (all_0_209_209 = e21)) & ( ~ (all_0_72_72 = all_0_73_73) | ~ (all_0_74_74 = all_0_216_216) | ~ (all_0_75_75 = all_0_76_76) | ~ (all_0_77_77 = e20) | ~ (all_0_78_78 = all_0_79_79) | ~ (all_0_80_80 = all_0_81_81) | ~ (all_0_82_82 = all_0_212_212) | ~ (all_0_83_83 = all_0_84_84) | ~ (all_0_85_85 = all_0_213_213) | ~ (all_0_86_86 = all_0_219_219) | ~ (all_0_87_87 = all_0_88_88) | ~ (all_0_89_89 = all_0_218_218) | ~ (all_0_215_215 = e23)) & ( ~ (all_0_108_108 = all_0_209_209) | ~ (all_0_109_109 = all_0_210_210) | ~ (all_0_110_110 = all_0_211_211) | ~ (all_0_111_111 = all_0_212_212) | ~ (all_0_112_112 = all_0_213_213) | ~ (all_0_113_113 = all_0_214_214) | ~ (all_0_114_114 = all_0_215_215) | ~ (all_0_115_115 = all_0_216_216) | ~ (all_0_116_116 = all_0_217_217) | ~ (all_0_117_117 = all_0_218_218) | ~ (all_0_118_118 = all_0_219_219)) & ( ~ (all_0_119_119 = all_0_120_120) | ~ (all_0_121_121 = all_0_213_213) | ~ (all_0_122_122 = all_0_123_123) | ~ (all_0_124_124 = e20) | ~ (all_0_125_125 = all_0_126_126) | ~ (all_0_127_127 = all_0_128_128) | ~ (all_0_129_129 = all_0_215_215) | ~ (all_0_130_130 = all_0_131_131) | ~ (all_0_132_132 = all_0_216_216) | ~ (all_0_133_133 = all_0_218_218) | ~ (all_0_134_134 = all_0_135_135) | ~ (all_0_136_136 = all_0_219_219) | ~ (all_0_212_212 = e23)) & (all_0_209_209 = e23 | all_0_209_209 = e21) & (all_0_209_209 = e23 | all_0_210_210 = e23) & (all_0_209_209 = e23 | all_0_215_215 = e23 | all_0_218_218 = e23) & (all_0_209_209 = e21 | all_0_210_210 = e21) & (all_0_209_209 = e21 | all_0_215_215 = e21 | all_0_218_218 = e21) & (all_0_210_210 = e23 | all_0_210_210 = e21) & (all_0_210_210 = e23 | all_0_213_213 = e23 | all_0_216_216 = e23) & (all_0_210_210 = e21 | all_0_213_213 = e21 | all_0_216_216 = e21) & (all_0_211_211 = e23 | all_0_211_211 = e22 | all_0_211_211 = e21) & (all_0_211_211 = e23 | all_0_212_212 = e23 | all_0_213_213 = e23) & (all_0_211_211 = e23 | all_0_214_214 = e23 | all_0_217_217 = e23) & (all_0_211_211 = e22 | all_0_213_213 = e22) & (all_0_211_211 = e22 | all_0_214_214 = e22 | all_0_217_217 = e22) & (all_0_211_211 = e21 | all_0_212_212 = e21 | all_0_213_213 = e21) & (all_0_211_211 = e21 | all_0_214_214 = e21 | all_0_217_217 = e21) & (all_0_212_212 = e23 | all_0_212_212 = e21) & (all_0_212_212 = e23 | all_0_219_219 = e23) & (all_0_212_212 = e21 | all_0_219_219 = e21) & (all_0_213_213 = e23 | all_0_213_213 = e22 | all_0_213_213 = e21) & (all_0_213_213 = e22 | all_0_216_216 = e22) & (all_0_214_214 = e23 | all_0_214_214 = e22 | all_0_214_214 = e21) & (all_0_214_214 = e23 | all_0_215_215 = e23 | all_0_216_216 = e23) & (all_0_214_214 = e22 | all_0_215_215 = e22 | all_0_216_216 = e22) & (all_0_214_214 = e21 | all_0_215_215 = e21 | all_0_216_216 = e21) & (all_0_215_215 = e23 | all_0_215_215 = e22 | all_0_215_215 = e21) & (all_0_215_215 = e22 | all_0_218_218 = e22) & (all_0_216_216 = e23 | all_0_216_216 = e22 | all_0_216_216 = e21) & (all_0_217_217 = e23 | all_0_217_217 = e22 | all_0_217_217 = e21) & (all_0_217_217 = e23 | all_0_218_218 = e23 | all_0_219_219 = e23) & (all_0_217_217 = e22 | all_0_218_218 = e22) & (all_0_217_217 = e21 | all_0_218_218 = e21 | all_0_219_219 = e21) & (all_0_218_218 = e23 | all_0_218_218 = e22 | all_0_218_218 = e21) & (all_0_219_219 = e23 | all_0_219_219 = e21) & (all_0_220_220 = e13 | all_0_220_220 = e11) & (all_0_220_220 = e13 | all_0_221_221 = e13) & (all_0_220_220 = e13 | all_0_226_226 = e13 | all_0_229_229 = e13) & (all_0_220_220 = e11 | all_0_221_221 = e11) & (all_0_220_220 = e11 | all_0_226_226 = e11 | all_0_229_229 = e11) & (all_0_221_221 = e13 | all_0_221_221 = e11) & (all_0_221_221 = e13 | all_0_224_224 = e13 | all_0_227_227 = e13) & (all_0_221_221 = e11 | all_0_224_224 = e11 | all_0_227_227 = e11) & (all_0_222_222 = e13 | all_0_222_222 = e12 | all_0_222_222 = e11) & (all_0_222_222 = e13 | all_0_223_223 = e13 | all_0_224_224 = e13) & (all_0_222_222 = e13 | all_0_225_225 = e13 | all_0_228_228 = e13) & (all_0_222_222 = e12 | all_0_224_224 = e12) & (all_0_222_222 = e12 | all_0_225_225 = e12 | all_0_228_228 = e12) & (all_0_222_222 = e11 | all_0_223_223 = e11 | all_0_224_224 = e11) & (all_0_222_222 = e11 | all_0_225_225 = e11 | all_0_228_228 = e11) & (all_0_223_223 = e13 | all_0_223_223 = e11) & (all_0_223_223 = e13 | all_0_230_230 = e13) & (all_0_223_223 = e11 | all_0_230_230 = e11) & (all_0_224_224 = e13 | all_0_224_224 = e12 | all_0_224_224 = e11) & (all_0_224_224 = e12 | all_0_227_227 = e12) & (all_0_225_225 = e13 | all_0_225_225 = e12 | all_0_225_225 = e11) & (all_0_225_225 = e13 | all_0_226_226 = e13 | all_0_227_227 = e13) & (all_0_225_225 = e12 | all_0_226_226 = e12 | all_0_227_227 = e12) & (all_0_225_225 = e11 | all_0_226_226 = e11 | all_0_227_227 = e11) & (all_0_226_226 = e13 | all_0_226_226 = e12 | all_0_226_226 = e11) & (all_0_226_226 = e12 | all_0_229_229 = e12) & (all_0_227_227 = e13 | all_0_227_227 = e12 | all_0_227_227 = e11) & (all_0_228_228 = e13 | all_0_228_228 = e12 | all_0_228_228 = e11) & (all_0_228_228 = e13 | all_0_229_229 = e13 | all_0_230_230 = e13) & (all_0_228_228 = e12 | all_0_229_229 = e12) & (all_0_228_228 = e11 | all_0_229_229 = e11 | all_0_230_230 = e11) & (all_0_229_229 = e13 | all_0_229_229 = e12 | all_0_229_229 = e11) & (all_0_230_230 = e13 | all_0_230_230 = e11) & (unit2 = e23 | unit2 = e22 | unit2 = e21 | unit2 = e20) & (unit1 = e13 | unit1 = e12 | unit1 = e11 | unit1 = e10)
% 19.46/5.03 |
% 19.46/5.03 | Applying alpha-rule on (1) yields:
% 19.46/5.03 | (2) op1(e11, unit1) = e11
% 19.46/5.03 | (3) op2(all_0_219_219, all_0_219_219) = all_0_142_142
% 19.46/5.03 | (4) op2(e22, e22) = e20
% 19.46/5.03 | (5) op2(all_0_211_211, e23) = all_0_6_6
% 19.46/5.03 | (6) op2(e22, all_0_218_218) = all_0_101_101
% 19.46/5.03 | (7) op2(e22, e20) = all_0_213_213
% 19.46/5.03 | (8) h11(all_0_228_228) = all_0_32_32
% 19.46/5.03 | (9) op2(e20, all_0_210_210) = all_0_166_166
% 19.46/5.03 | (10) op2(e23, e20) = all_0_210_210
% 19.46/5.03 | (11) all_0_209_209 = e23 | all_0_209_209 = e21
% 19.46/5.03 | (12) ~ (all_0_210_210 = all_0_213_213)
% 19.46/5.03 | (13) op1(e10, e13) = all_0_228_228
% 19.46/5.03 | (14) op2(all_0_211_211, all_0_211_211) = all_0_5_5
% 19.46/5.03 | (15) h8(all_0_228_228) = all_0_86_86
% 19.46/5.03 | (16) all_0_213_213 = e23 | all_0_213_213 = e22 | all_0_213_213 = e21
% 19.46/5.03 | (17) op2(e23, all_0_211_211) = all_0_11_11
% 19.46/5.03 | (18) op2(all_0_214_214, e23) = all_0_24_24
% 19.46/5.03 | (19) h9(e13) = e23
% 19.46/5.03 | (20) h10(e12) = all_0_217_217
% 19.46/5.03 | (21) h12(all_0_223_223) = all_0_7_7
% 19.46/5.03 | (22) all_0_212_212 = e21 | all_0_219_219 = e21
% 19.46/5.03 | (23) h11(all_0_229_229) = all_0_34_34
% 19.46/5.03 | (24) ~ (all_0_228_228 = e10)
% 19.46/5.03 | (25) op1(e12, e12) = e10
% 19.46/5.03 | (26) ~ (e22 = e11)
% 19.46/5.03 | (27) h12(all_0_221_221) = all_0_2_2
% 19.46/5.03 | (28) h5(all_0_223_223) = all_0_126_126
% 19.46/5.03 | (29) op2(unit2, e21) = e21
% 19.46/5.03 | (30) h2(e12) = all_0_213_213
% 19.46/5.03 | (31) op1(e13, e11) = e12
% 19.46/5.03 | (32) op1(e13, unit1) = e13
% 19.46/5.03 | (33) ~ (e23 = e10)
% 19.46/5.04 | (34) h9(all_0_227_227) = all_0_67_67
% 19.46/5.04 | (35) ~ (all_0_214_214 = all_0_216_216)
% 19.46/5.04 | (36) h5(all_0_230_230) = all_0_136_136
% 19.46/5.04 | (37) ~ (e22 = e21)
% 19.46/5.04 | (38) h1(all_0_225_225) = all_0_201_201
% 19.46/5.04 | (39) op2(e20, all_0_210_210) = all_0_170_170
% 19.46/5.04 | (40) ~ (e13 = e11)
% 19.46/5.04 | (41) h11(all_0_223_223) = all_0_25_25
% 19.46/5.04 | (42) op2(all_0_210_210, e23) = all_0_158_158
% 19.46/5.04 | (43) op2(e20, all_0_209_209) = all_0_69_69
% 19.46/5.04 | (44) h12(all_0_220_220) = all_0_1_1
% 19.46/5.04 | (45) h2(e11) = e20
% 19.46/5.04 | (46) h12(all_0_224_224) = all_0_9_9
% 19.46/5.04 | (47) h1(all_0_229_229) = all_0_207_207
% 19.46/5.04 | (48) h1(all_0_222_222) = all_0_195_195
% 19.46/5.04 | (49) ~ (all_0_220_220 = all_0_221_221)
% 19.46/5.04 | (50) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h9(v2) = v1) | ~ (h9(v2) = v0))
% 19.46/5.04 | (51) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0))
% 19.46/5.04 | (52) ~ (all_0_223_223 = all_0_224_224)
% 19.46/5.04 | (53) op1(unit1, e11) = e11
% 19.46/5.04 | (54) op1(e12, unit1) = e12
% 19.46/5.04 | (55) h6(all_0_229_229) = all_0_117_117
% 19.46/5.04 | (56) op2(e22, all_0_212_212) = all_0_119_119
% 19.46/5.04 | (57) op2(all_0_215_215, e22) = all_0_78_78
% 19.46/5.04 | (58) h4(all_0_229_229) = all_0_153_153
% 19.46/5.04 | (59) ~ (e23 = e20)
% 19.46/5.04 | (60) op2(e23, all_0_214_214) = all_0_29_29
% 19.46/5.04 | (61) op2(e20, all_0_216_216) = all_0_202_202
% 19.46/5.04 | (62) op2(e20, e21) = all_0_219_219
% 19.46/5.04 | (63) ~ (all_0_214_214 = e20)
% 19.46/5.04 | (64) h12(all_0_229_229) = all_0_16_16
% 19.46/5.04 | (65) all_0_213_213 = e22 | all_0_216_216 = e22
% 19.46/5.04 | (66) h10(all_0_226_226) = all_0_48_48
% 19.46/5.04 | (67) all_0_210_210 = e23 | all_0_210_210 = e21
% 19.46/5.04 | (68) h1(e12) = all_0_216_216
% 19.46/5.04 | (69) ~ (all_0_225_225 = all_0_226_226)
% 19.46/5.04 | (70) all_0_222_222 = e12 | all_0_224_224 = e12
% 19.46/5.04 | (71) h6(e12) = e22
% 19.46/5.04 | (72) ~ (all_0_212_212 = e20)
% 19.46/5.04 | (73) h1(e13) = e21
% 19.46/5.04 | (74) op1(unit1, e13) = e13
% 19.46/5.04 | (75) h12(all_0_230_230) = all_0_17_17
% 19.46/5.04 | (76) h8(e10) = e20
% 19.46/5.04 | (77) ~ (all_0_221_221 = all_0_224_224)
% 19.46/5.04 | (78) ~ (all_0_225_225 = e10)
% 19.46/5.04 | (79) ~ (all_0_211_211 = all_0_214_214)
% 19.46/5.04 | (80) op2(all_0_215_215, e20) = all_0_80_80
% 19.46/5.04 | (81) op2(all_0_217_217, e20) = all_0_39_39
% 19.46/5.04 | (82) ~ (all_0_230_230 = e12)
% 19.46/5.04 | (83) h9(all_0_222_222) = all_0_58_58
% 19.46/5.04 | (84) all_0_214_214 = e23 | all_0_214_214 = e22 | all_0_214_214 = e21
% 19.46/5.04 | (85) h9(all_0_223_223) = all_0_61_61
% 19.46/5.04 | (86) ~ (all_0_219_219 = e20)
% 19.46/5.04 | (87) op2(e22, all_0_211_211) = all_0_0_0
% 19.46/5.04 | (88) op2(e20, e22) = all_0_218_218
% 19.46/5.04 | (89) all_0_224_224 = e12 | all_0_227_227 = e12
% 19.46/5.04 | (90) h10(all_0_220_220) = all_0_37_37
% 19.46/5.04 | (91) h11(e11) = e23
% 19.46/5.04 | (92) all_0_222_222 = e13 | all_0_222_222 = e12 | all_0_222_222 = e11
% 19.46/5.04 | (93) op2(e22, e21) = all_0_212_212
% 19.46/5.04 | (94) h8(all_0_224_224) = all_0_81_81
% 19.46/5.04 | (95) h10(all_0_221_221) = all_0_38_38
% 19.46/5.04 | (96) ~ (e22 = e13)
% 19.46/5.04 | (97) op2(all_0_215_215, e21) = all_0_75_75
% 19.46/5.04 | (98) h10(all_0_222_222) = all_0_40_40
% 19.46/5.04 | (99) all_0_222_222 = e13 | all_0_223_223 = e13 | all_0_224_224 = e13
% 19.46/5.04 | (100) ~ (all_0_220_220 = e10)
% 19.46/5.04 | (101) op2(all_0_216_216, e20) = all_0_197_197
% 19.46/5.04 | (102) all_0_228_228 = e11 | all_0_229_229 = e11 | all_0_230_230 = e11
% 19.46/5.04 | (103) h5(all_0_229_229) = all_0_135_135
% 19.46/5.04 | (104) ~ (all_0_228_228 = all_0_229_229)
% 19.46/5.04 | (105) ~ (all_0_211_211 = all_0_212_212)
% 19.46/5.04 | (106) op2(e23, e23) = e20
% 19.46/5.04 | (107) op2(all_0_213_213, e22) = all_0_176_176
% 19.46/5.04 | (108) h6(all_0_221_221) = all_0_109_109
% 19.46/5.04 | (109) h6(all_0_225_225) = all_0_113_113
% 19.46/5.04 | (110) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0))
% 19.46/5.04 | (111) ~ (all_0_222_222 = all_0_228_228)
% 19.46/5.04 | (112) ~ (e13 = e12)
% 19.46/5.04 | (113) ~ (e23 = e13)
% 19.46/5.04 | (114) op2(e23, e22) = all_0_209_209
% 19.46/5.04 | (115) h9(e11) = e22
% 19.46/5.04 | (116) op2(unit2, e23) = e23
% 19.46/5.04 | (117) ~ (all_0_0_0 = all_0_1_1) | ~ (all_0_2_2 = all_0_213_213) | ~ (all_0_3_3 = all_0_4_4) | ~ (all_0_5_5 = e20) | ~ (all_0_6_6 = all_0_7_7) | ~ (all_0_8_8 = all_0_9_9) | ~ (all_0_10_10 = all_0_209_209) | ~ (all_0_11_11 = all_0_12_12) | ~ (all_0_13_13 = all_0_210_210) | ~ (all_0_14_14 = all_0_218_218) | ~ (all_0_15_15 = all_0_16_16) | ~ (all_0_17_17 = all_0_217_217) | ~ (all_0_211_211 = e21)
% 19.46/5.04 | (118) ~ (all_0_222_222 = all_0_223_223)
% 19.46/5.04 | (119) ~ (all_0_210_210 = all_0_216_216)
% 19.46/5.04 | (120) ~ (all_0_217_217 = all_0_218_218)
% 19.46/5.04 | (121) op2(e21, all_0_216_216) = all_0_191_191
% 19.46/5.04 | (122) op2(all_0_210_210, e20) = all_0_161_161
% 19.46/5.04 | (123) h10(all_0_228_228) = all_0_50_50
% 19.46/5.04 | (124) all_0_228_228 = e13 | all_0_229_229 = e13 | all_0_230_230 = e13
% 19.46/5.04 | (125) op2(all_0_210_210, e20) = all_0_163_163
% 19.46/5.04 | (126) h7(all_0_221_221) = all_0_92_92
% 19.46/5.04 | (127) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h11(v2) = v1) | ~ (h11(v2) = v0))
% 19.46/5.05 | (128) op1(e12, e11) = all_0_223_223
% 19.46/5.05 | (129) h9(all_0_228_228) = all_0_68_68
% 19.46/5.05 | (130) all_0_225_225 = e12 | all_0_226_226 = e12 | all_0_227_227 = e12
% 19.46/5.05 | (131) all_0_220_220 = e13 | all_0_221_221 = e13
% 19.46/5.05 | (132) h3(all_0_229_229) = all_0_171_171
% 19.46/5.05 | (133) h10(all_0_227_227) = all_0_49_49
% 19.46/5.05 | (134) h11(all_0_226_226) = all_0_30_30
% 19.46/5.05 | (135) h3(all_0_223_223) = all_0_162_162
% 19.46/5.05 | (136) ~ (e23 = e22)
% 19.46/5.05 | (137) ~ (all_0_216_216 = e20)
% 19.46/5.05 | (138) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h7(v2) = v1) | ~ (h7(v2) = v0))
% 19.46/5.05 | (139) h2(all_0_220_220) = all_0_174_174
% 19.46/5.05 | (140) ~ (all_0_228_228 = all_0_230_230)
% 19.46/5.05 | (141) ~ (all_0_210_210 = e22)
% 19.46/5.05 | (142) h3(all_0_227_227) = all_0_168_168
% 19.46/5.05 | (143) h7(all_0_220_220) = all_0_91_91
% 19.46/5.05 | (144) all_0_223_223 = e11 | all_0_230_230 = e11
% 19.46/5.05 | (145) op1(e10, unit1) = e10
% 19.46/5.05 | (146) op2(unit2, e20) = e20
% 19.46/5.05 | (147) op2(e20, all_0_219_219) = all_0_152_152
% 19.46/5.05 | (148) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 19.46/5.05 | (149) all_0_227_227 = e13 | all_0_227_227 = e12 | all_0_227_227 = e11
% 19.46/5.05 | (150) all_0_211_211 = e22 | all_0_214_214 = e22 | all_0_217_217 = e22
% 19.46/5.05 | (151) h10(all_0_225_225) = all_0_46_46
% 19.46/5.05 | (152) all_0_226_226 = e12 | all_0_229_229 = e12
% 19.46/5.05 | (153) h7(all_0_230_230) = all_0_107_107
% 19.46/5.05 | (154) op2(e22, all_0_209_209) = all_0_65_65
% 19.46/5.05 | (155) ~ (all_0_209_209 = all_0_218_218)
% 19.46/5.05 | (156) op2(e22, all_0_215_215) = all_0_83_83
% 19.46/5.05 | (157) h1(all_0_228_228) = all_0_205_205
% 19.46/5.05 | (158) h1(all_0_230_230) = all_0_208_208
% 19.46/5.05 | (159) h5(e10) = e20
% 19.46/5.05 | (160) h3(all_0_221_221) = all_0_157_157
% 19.46/5.05 | (161) ~ (all_0_209_209 = e20)
% 19.46/5.05 | (162) all_0_216_216 = e23 | all_0_216_216 = e22 | all_0_216_216 = e21
% 19.46/5.05 | (163) all_0_220_220 = e13 | all_0_226_226 = e13 | all_0_229_229 = e13
% 19.46/5.05 | (164) h6(all_0_223_223) = all_0_111_111
% 19.46/5.05 | (165) all_0_228_228 = e13 | all_0_228_228 = e12 | all_0_228_228 = e11
% 19.46/5.05 | (166) h8(all_0_223_223) = all_0_79_79
% 19.46/5.05 | (167) h12(all_0_225_225) = all_0_10_10
% 19.46/5.05 | (168) h4(all_0_221_221) = all_0_139_139
% 19.46/5.05 | (169) ~ (all_0_222_222 = e10)
% 19.46/5.05 | (170) ~ (e13 = e10)
% 19.46/5.05 | (171) all_0_215_215 = e23 | all_0_215_215 = e22 | all_0_215_215 = e21
% 19.46/5.05 | (172) h8(all_0_221_221) = all_0_74_74
% 19.46/5.05 | (173) all_0_221_221 = e13 | all_0_224_224 = e13 | all_0_227_227 = e13
% 19.46/5.05 | (174) ~ (all_0_229_229 = all_0_230_230)
% 19.46/5.05 | (175) ~ (e11 = e10)
% 19.46/5.05 | (176) op2(e21, e20) = all_0_216_216
% 19.46/5.05 | (177) all_0_222_222 = e13 | all_0_225_225 = e13 | all_0_228_228 = e13
% 19.46/5.05 | (178) h4(all_0_222_222) = all_0_141_141
% 19.46/5.05 | (179) ~ (e21 = e12)
% 19.46/5.05 | (180) all_0_221_221 = e13 | all_0_221_221 = e11
% 19.46/5.05 | (181) op2(all_0_209_209, e23) = all_0_57_57
% 19.46/5.05 | (182) h1(all_0_220_220) = all_0_192_192
% 19.46/5.05 | (183) h5(all_0_226_226) = all_0_131_131
% 19.46/5.05 | (184) h4(e10) = e20
% 19.46/5.05 | (185) h7(all_0_229_229) = all_0_106_106
% 19.46/5.05 | (186) h7(e12) = all_0_218_218
% 19.46/5.05 | (187) op2(e20, all_0_217_217) = all_0_51_51
% 19.46/5.05 | (188) h1(e10) = e20
% 19.46/5.05 | (189) op2(all_0_214_214, e20) = all_0_26_26
% 19.46/5.05 | (190) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h12(v2) = v1) | ~ (h12(v2) = v0))
% 19.46/5.05 | (191) op2(e23, all_0_217_217) = all_0_47_47
% 19.46/5.05 | (192) ~ (all_0_221_221 = e10)
% 19.46/5.05 | (193) h2(e13) = e22
% 19.46/5.05 | (194) all_0_217_217 = e22 | all_0_218_218 = e22
% 19.46/5.05 | (195) all_0_215_215 = e22 | all_0_218_218 = e22
% 19.46/5.05 | (196) h6(all_0_224_224) = all_0_112_112
% 19.46/5.05 | (197) op2(all_0_216_216, all_0_216_216) = all_0_196_196
% 19.46/5.05 | (198) ~ (all_0_215_215 = all_0_218_218)
% 19.46/5.05 | (199) all_0_222_222 = e12 | all_0_225_225 = e12 | all_0_228_228 = e12
% 19.46/5.05 | (200) op1(e13, e13) = e10
% 19.46/5.05 | (201) all_0_209_209 = e21 | all_0_210_210 = e21
% 19.46/5.05 | (202) op2(all_0_218_218, e22) = all_0_96_96
% 19.46/5.05 | (203) ~ (e12 = e10)
% 19.46/5.05 | (204) ~ (all_0_119_119 = all_0_120_120) | ~ (all_0_121_121 = all_0_213_213) | ~ (all_0_122_122 = all_0_123_123) | ~ (all_0_124_124 = e20) | ~ (all_0_125_125 = all_0_126_126) | ~ (all_0_127_127 = all_0_128_128) | ~ (all_0_129_129 = all_0_215_215) | ~ (all_0_130_130 = all_0_131_131) | ~ (all_0_132_132 = all_0_216_216) | ~ (all_0_133_133 = all_0_218_218) | ~ (all_0_134_134 = all_0_135_135) | ~ (all_0_136_136 = all_0_219_219) | ~ (all_0_212_212 = e23)
% 19.46/5.05 | (205) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0))
% 19.82/5.05 | (206) h1(all_0_221_221) = all_0_193_193
% 19.82/5.05 | (207) h6(all_0_220_220) = all_0_108_108
% 19.82/5.05 | (208) op2(all_0_209_209, e22) = all_0_60_60
% 19.82/5.05 | (209) h1(e11) = e20
% 19.82/5.05 | (210) h7(all_0_224_224) = all_0_99_99
% 19.82/5.05 | (211) h11(all_0_227_227) = all_0_31_31
% 19.82/5.05 | (212) all_0_220_220 = e13 | all_0_220_220 = e11
% 19.82/5.05 | (213) ~ (all_0_54_54 = all_0_55_55) | ~ (all_0_56_56 = all_0_210_210) | ~ (all_0_57_57 = all_0_58_58) | ~ (all_0_59_59 = e20) | ~ (all_0_60_60 = all_0_61_61) | ~ (all_0_62_62 = all_0_63_63) | ~ (all_0_64_64 = all_0_211_211) | ~ (all_0_65_65 = all_0_66_66) | ~ (all_0_67_67 = all_0_213_213) | ~ (all_0_68_68 = all_0_217_217) | ~ (all_0_69_69 = all_0_70_70) | ~ (all_0_71_71 = all_0_218_218) | ~ (all_0_209_209 = e21)
% 19.82/5.05 | (214) ~ (all_0_221_221 = all_0_227_227)
% 19.82/5.05 | (215) op2(all_0_218_218, e20) = all_0_93_93
% 19.82/5.05 | (216) ~ (all_0_230_230 = e10)
% 19.82/5.05 | (217) ~ (all_0_211_211 = all_0_213_213)
% 19.82/5.05 | (218) h4(all_0_230_230) = all_0_154_154
% 19.82/5.06 | (219) op2(all_0_218_218, all_0_218_218) = all_0_95_95
% 19.82/5.06 | (220) h9(all_0_230_230) = all_0_71_71
% 19.82/5.06 | (221) all_0_210_210 = e21 | all_0_213_213 = e21 | all_0_216_216 = e21
% 19.82/5.06 | (222) ~ (all_0_212_212 = e22)
% 19.82/5.06 | (223) h4(all_0_220_220) = all_0_138_138
% 19.82/5.06 | (224) all_0_220_220 = e11 | all_0_221_221 = e11
% 19.82/5.06 | (225) h2(all_0_229_229) = all_0_189_189
% 19.82/5.06 | (226) op2(e23, e21) = e22
% 19.82/5.06 | (227) h2(all_0_222_222) = all_0_177_177
% 19.82/5.06 | (228) op2(e21, all_0_215_215) = all_0_72_72
% 19.82/5.06 | (229) h1(all_0_224_224) = all_0_200_200
% 19.82/5.06 | (230) op2(e20, all_0_216_216) = all_0_206_206
% 19.82/5.06 | (231) h3(e12) = all_0_210_210
% 19.82/5.06 | (232) op2(all_0_211_211, e20) = all_0_8_8
% 19.82/5.06 | (233) ~ (e23 = e11)
% 19.82/5.06 | (234) op2(e22, e23) = all_0_211_211
% 19.82/5.06 | (235) all_0_209_209 = e23 | all_0_210_210 = e23
% 19.82/5.06 | (236) h7(all_0_228_228) = all_0_104_104
% 19.82/5.06 | (237) ~ (all_0_108_108 = all_0_209_209) | ~ (all_0_109_109 = all_0_210_210) | ~ (all_0_110_110 = all_0_211_211) | ~ (all_0_111_111 = all_0_212_212) | ~ (all_0_112_112 = all_0_213_213) | ~ (all_0_113_113 = all_0_214_214) | ~ (all_0_114_114 = all_0_215_215) | ~ (all_0_115_115 = all_0_216_216) | ~ (all_0_116_116 = all_0_217_217) | ~ (all_0_117_117 = all_0_218_218) | ~ (all_0_118_118 = all_0_219_219)
% 19.82/5.06 | (238) op2(e21, e23) = all_0_214_214
% 19.82/5.06 | (239) all_0_212_212 = e23 | all_0_212_212 = e21
% 19.82/5.06 | (240) h3(e10) = e20
% 19.82/5.06 | (241) op2(e20, e20) = e20
% 19.82/5.06 | (242) op2(all_0_212_212, e21) = all_0_125_125
% 19.82/5.06 | (243) op2(e20, all_0_217_217) = all_0_36_36
% 19.82/5.06 | (244) op2(e22, all_0_213_213) = all_0_173_173
% 19.82/5.06 | (245) h3(all_0_226_226) = all_0_167_167
% 19.82/5.06 | (246) op2(all_0_216_216, e20) = all_0_199_199
% 19.82/5.06 | (247) ~ (all_0_220_220 = e12)
% 19.82/5.06 | (248) h5(e11) = e21
% 19.82/5.06 | (249) all_0_229_229 = e13 | all_0_229_229 = e12 | all_0_229_229 = e11
% 19.82/5.06 | (250) h9(all_0_221_221) = all_0_56_56
% 19.82/5.06 | (251) h5(all_0_221_221) = all_0_121_121
% 19.82/5.06 | (252) all_0_211_211 = e23 | all_0_211_211 = e22 | all_0_211_211 = e21
% 19.82/5.06 | (253) all_0_211_211 = e23 | all_0_212_212 = e23 | all_0_213_213 = e23
% 19.82/5.06 | (254) ~ (all_0_213_213 = e20)
% 19.82/5.06 | (255) h11(all_0_225_225) = all_0_28_28
% 19.82/5.06 | (256) ~ (all_0_211_211 = e20)
% 19.82/5.06 | (257) h8(all_0_222_222) = all_0_76_76
% 19.82/5.06 | (258) h4(all_0_223_223) = all_0_144_144
% 19.82/5.06 | (259) op1(e11, e10) = all_0_227_227
% 19.82/5.06 | (260) h6(e13) = e23
% 19.82/5.06 | (261) ~ (all_0_219_219 = e22)
% 19.82/5.06 | (262) h2(all_0_226_226) = all_0_185_185
% 19.82/5.06 | (263) h5(all_0_220_220) = all_0_120_120
% 19.82/5.06 | (264) op2(e20, all_0_214_214) = all_0_33_33
% 19.82/5.06 | (265) h9(e12) = all_0_209_209
% 19.82/5.06 | (266) ~ (e12 = e11)
% 19.82/5.06 | (267) h8(all_0_226_226) = all_0_84_84
% 19.82/5.06 | (268) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h6(v2) = v1) | ~ (h6(v2) = v0))
% 19.82/5.06 | (269) ~ (all_0_209_209 = all_0_215_215)
% 19.82/5.06 | (270) op2(all_0_209_209, all_0_209_209) = all_0_59_59
% 19.82/5.06 | (271) h5(all_0_227_227) = all_0_132_132
% 19.82/5.06 | (272) ~ (all_0_220_220 = all_0_229_229)
% 19.82/5.06 | (273) h7(all_0_225_225) = all_0_100_100
% 19.82/5.06 | (274) h5(all_0_228_228) = all_0_133_133
% 19.82/5.06 | (275) all_0_219_219 = e23 | all_0_219_219 = e21
% 19.82/5.06 | (276) op2(e21, unit2) = e21
% 19.82/5.06 | (277) ~ (all_0_218_218 = all_0_219_219)
% 19.82/5.06 | (278) ~ (all_0_229_229 = e10)
% 19.82/5.06 | (279) h8(all_0_225_225) = all_0_82_82
% 19.82/5.06 | (280) h6(all_0_230_230) = all_0_118_118
% 19.82/5.06 | (281) h10(e10) = e20
% 19.82/5.06 | (282) ~ (all_0_220_220 = all_0_226_226)
% 19.82/5.06 | (283) op1(e11, e11) = e10
% 19.82/5.06 | (284) op2(all_0_211_211, e22) = all_0_3_3
% 19.82/5.06 | (285) op2(all_0_210_210, all_0_210_210) = all_0_160_160
% 19.82/5.06 | (286) all_0_214_214 = e22 | all_0_215_215 = e22 | all_0_216_216 = e22
% 19.82/5.06 | (287) ~ (all_0_214_214 = all_0_215_215)
% 19.82/5.06 | (288) h6(e10) = e20
% 19.82/5.06 | (289) op1(e13, e12) = all_0_220_220
% 19.82/5.06 | (290) op1(e10, e12) = all_0_229_229
% 19.82/5.06 | (291) h2(all_0_221_221) = all_0_175_175
% 19.82/5.06 | (292) h7(all_0_223_223) = all_0_97_97
% 19.82/5.06 | (293) h6(all_0_228_228) = all_0_116_116
% 19.82/5.06 | (294) ~ (all_0_225_225 = all_0_227_227)
% 19.82/5.06 | (295) h4(all_0_224_224) = all_0_146_146
% 19.82/5.06 | (296) h5(all_0_222_222) = all_0_123_123
% 19.82/5.06 | (297) h12(all_0_226_226) = all_0_12_12
% 19.82/5.06 | (298) h7(all_0_227_227) = all_0_103_103
% 19.82/5.06 | (299) ~ (all_0_218_218 = e20)
% 19.82/5.06 | (300) h11(e12) = all_0_214_214
% 19.82/5.06 | (301) ~ (all_0_72_72 = all_0_73_73) | ~ (all_0_74_74 = all_0_216_216) | ~ (all_0_75_75 = all_0_76_76) | ~ (all_0_77_77 = e20) | ~ (all_0_78_78 = all_0_79_79) | ~ (all_0_80_80 = all_0_81_81) | ~ (all_0_82_82 = all_0_212_212) | ~ (all_0_83_83 = all_0_84_84) | ~ (all_0_85_85 = all_0_213_213) | ~ (all_0_86_86 = all_0_219_219) | ~ (all_0_87_87 = all_0_88_88) | ~ (all_0_89_89 = all_0_218_218) | ~ (all_0_215_215 = e23)
% 19.82/5.06 | (302) h5(all_0_225_225) = all_0_129_129
% 19.82/5.06 | (303) op2(e23, all_0_210_210) = all_0_155_155
% 19.82/5.06 | (304) ~ (all_0_212_212 = all_0_219_219)
% 19.82/5.06 | (305) h12(all_0_228_228) = all_0_14_14
% 19.82/5.06 | (306) ~ (e22 = e12)
% 19.82/5.06 | (307) op2(e20, all_0_218_218) = all_0_105_105
% 19.82/5.06 | (308) h3(all_0_222_222) = all_0_159_159
% 19.82/5.06 | (309) op2(all_0_214_214, all_0_214_214) = all_0_23_23
% 19.82/5.06 | (310) h2(all_0_230_230) = all_0_190_190
% 19.82/5.06 | (311) all_0_211_211 = e23 | all_0_214_214 = e23 | all_0_217_217 = e23
% 19.82/5.06 | (312) h7(e11) = e22
% 19.82/5.06 | (313) all_0_212_212 = e23 | all_0_219_219 = e23
% 19.82/5.06 | (314) h12(e12) = all_0_211_211
% 19.82/5.06 | (315) h11(e10) = e20
% 19.82/5.06 | (316) ~ (e21 = e13)
% 19.82/5.06 | (317) op2(all_0_217_217, all_0_217_217) = all_0_41_41
% 19.82/5.06 | (318) op2(e20, all_0_211_211) = all_0_15_15
% 19.82/5.06 | (319) all_0_222_222 = e11 | all_0_225_225 = e11 | all_0_228_228 = e11
% 19.82/5.06 | (320) op2(all_0_213_213, e20) = all_0_179_179
% 19.82/5.06 | (321) h11(all_0_221_221) = all_0_20_20
% 19.82/5.06 | (322) op1(e12, e10) = all_0_224_224
% 19.82/5.06 | (323) op2(e21, e22) = all_0_215_215
% 19.82/5.06 | (324) op2(e21, e21) = e20
% 19.82/5.06 | (325) ~ (all_0_224_224 = e10)
% 19.82/5.06 | (326) op2(all_0_212_212, all_0_212_212) = all_0_124_124
% 19.82/5.06 | (327) op2(e20, all_0_219_219) = all_0_137_137
% 19.82/5.07 | (328) ~ (all_0_215_215 = all_0_216_216)
% 19.82/5.07 | (329) all_0_217_217 = e23 | all_0_218_218 = e23 | all_0_219_219 = e23
% 19.82/5.07 | (330) h9(all_0_220_220) = all_0_55_55
% 19.82/5.07 | (331) op1(unit1, e12) = e12
% 19.82/5.07 | (332) h2(all_0_224_224) = all_0_182_182
% 19.82/5.07 | (333) h10(all_0_230_230) = all_0_53_53
% 19.82/5.07 | (334) h10(all_0_229_229) = all_0_52_52
% 19.82/5.07 | (335) op1(e11, e12) = all_0_226_226
% 19.82/5.07 | (336) op2(e21, all_0_219_219) = all_0_148_148
% 19.82/5.07 | (337) ~ (all_0_209_209 = e22)
% 19.82/5.07 | (338) op2(e22, unit2) = e22
% 19.82/5.07 | (339) op2(e20, unit2) = e20
% 19.82/5.07 | (340) h10(all_0_223_223) = all_0_43_43
% 19.82/5.07 | (341) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h5(v2) = v1) | ~ (h5(v2) = v0))
% 19.82/5.07 | (342) all_0_225_225 = e11 | all_0_226_226 = e11 | all_0_227_227 = e11
% 19.82/5.07 | (343) op2(e21, all_0_212_212) = all_0_130_130
% 19.82/5.07 | (344) ~ (all_0_215_215 = e20)
% 19.82/5.07 | (345) op2(e20, all_0_218_218) = all_0_90_90
% 19.82/5.07 | (346) ~ (all_0_222_222 = all_0_225_225)
% 19.82/5.07 | (347) all_0_230_230 = e13 | all_0_230_230 = e11
% 19.82/5.07 | (348) op2(all_0_216_216, e21) = all_0_194_194
% 19.82/5.07 | (349) h5(e12) = all_0_212_212
% 19.82/5.07 | (350) h3(all_0_230_230) = all_0_172_172
% 19.82/5.07 | (351) op2(e20, all_0_215_215) = all_0_87_87
% 19.82/5.07 | (352) all_0_217_217 = e21 | all_0_218_218 = e21 | all_0_219_219 = e21
% 19.82/5.07 | (353) op2(e20, all_0_212_212) = all_0_134_134
% 19.82/5.07 | (354) h9(all_0_225_225) = all_0_64_64
% 19.82/5.07 | (355) all_0_223_223 = e13 | all_0_223_223 = e11
% 19.82/5.07 | (356) all_0_211_211 = e21 | all_0_212_212 = e21 | all_0_213_213 = e21
% 19.82/5.07 | (357) h6(all_0_222_222) = all_0_110_110
% 19.82/5.07 | (358) h3(e11) = e20
% 19.82/5.07 | (359) h9(e10) = e20
% 19.82/5.07 | (360) ~ (e23 = e12)
% 19.82/5.07 | (361) all_0_214_214 = e21 | all_0_215_215 = e21 | all_0_216_216 = e21
% 19.82/5.07 | (362) ~ (all_0_226_226 = all_0_227_227)
% 19.82/5.07 | (363) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h10(v2) = v1) | ~ (h10(v2) = v0))
% 19.82/5.07 | (364) ~ (all_0_217_217 = e20)
% 19.82/5.07 | (365) op2(all_0_212_212, e20) = all_0_127_127
% 19.82/5.07 | (366) all_0_220_220 = e11 | all_0_226_226 = e11 | all_0_229_229 = e11
% 19.82/5.07 | (367) ~ (all_0_223_223 = e10)
% 19.82/5.07 | (368) ~ (all_0_217_217 = all_0_219_219)
% 19.82/5.07 | (369) all_0_228_228 = e12 | all_0_229_229 = e12
% 19.82/5.07 | (370) ~ (e20 = e11)
% 19.82/5.07 | (371) h8(e12) = all_0_215_215
% 19.82/5.07 | (372) ~ (all_0_221_221 = e12)
% 19.89/5.07 | (373) op2(e20, all_0_213_213) = all_0_188_188
% 19.89/5.07 | (374) op2(e21, all_0_214_214) = all_0_18_18
% 19.89/5.07 | (375) unit1 = e13 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 19.89/5.07 | (376) op1(unit1, e10) = e10
% 19.89/5.07 | (377) unit2 = e23 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 19.89/5.07 | (378) ~ (all_0_213_213 = all_0_216_216)
% 19.89/5.07 | (379) h8(all_0_229_229) = all_0_88_88
% 19.89/5.07 | (380) all_0_209_209 = e23 | all_0_215_215 = e23 | all_0_218_218 = e23
% 19.89/5.07 | (381) all_0_211_211 = e22 | all_0_213_213 = e22
% 19.89/5.07 | (382) ~ (all_0_223_223 = all_0_230_230)
% 19.89/5.07 | (383) all_0_224_224 = e13 | all_0_224_224 = e12 | all_0_224_224 = e11
% 19.89/5.07 | (384) h2(e10) = e20
% 19.89/5.07 | (385) all_0_226_226 = e13 | all_0_226_226 = e12 | all_0_226_226 = e11
% 19.89/5.07 | (386) ~ (e23 = e21)
% 19.89/5.07 | (387) ~ (e21 = e20)
% 19.89/5.07 | (388) ~ (e20 = e10)
% 19.89/5.07 | (389) h3(all_0_225_225) = all_0_165_165
% 19.89/5.07 | (390) all_0_225_225 = e13 | all_0_226_226 = e13 | all_0_227_227 = e13
% 19.89/5.07 | (391) op1(e12, e13) = all_0_222_222
% 19.89/5.07 | (392) h2(all_0_223_223) = all_0_180_180
% 19.89/5.07 | (393) op1(e11, e13) = all_0_225_225
% 19.89/5.07 | (394) all_0_217_217 = e23 | all_0_217_217 = e22 | all_0_217_217 = e21
% 19.89/5.07 | (395) h10(all_0_224_224) = all_0_45_45
% 19.89/5.07 | (396) h12(all_0_222_222) = all_0_4_4
% 19.89/5.07 | (397) ~ (all_0_211_211 = all_0_217_217)
% 19.89/5.07 | (398) op1(e10, e11) = all_0_230_230
% 19.89/5.07 | (399) h6(all_0_226_226) = all_0_114_114
% 19.89/5.07 | (400) h7(e10) = e20
% 19.89/5.07 | (401) h4(e13) = e20
% 19.89/5.07 | (402) h10(e11) = e23
% 19.89/5.07 | (403) h8(e13) = e21
% 19.89/5.07 | (404) op2(all_0_212_212, e22) = all_0_122_122
% 19.89/5.07 | (405) all_0_218_218 = e23 | all_0_218_218 = e22 | all_0_218_218 = e21
% 19.89/5.07 | (406) h4(all_0_225_225) = all_0_147_147
% 19.89/5.07 | (407) h7(all_0_226_226) = all_0_102_102
% 19.89/5.07 | (408) h7(all_0_222_222) = all_0_94_94
% 19.89/5.07 | (409) h5(all_0_224_224) = all_0_128_128
% 19.89/5.07 | (410) h12(e11) = e23
% 19.89/5.07 | (411) op2(all_0_219_219, e21) = all_0_143_143
% 19.89/5.07 | (412) op2(e23, unit2) = e23
% 19.89/5.07 | (413) op2(all_0_215_215, all_0_215_215) = all_0_77_77
% 19.89/5.07 | (414) h6(all_0_227_227) = all_0_115_115
% 19.89/5.07 | (415) h1(all_0_226_226) = all_0_203_203
% 19.89/5.07 | (416) op2(unit2, e22) = e22
% 19.89/5.07 | (417) h9(all_0_224_224) = all_0_63_63
% 19.89/5.07 | (418) all_0_214_214 = e23 | all_0_215_215 = e23 | all_0_216_216 = e23
% 19.89/5.07 | (419) op1(e10, e10) = e10
% 19.89/5.07 | (420) h2(all_0_227_227) = all_0_186_186
% 19.89/5.07 | (421) all_0_209_209 = e21 | all_0_215_215 = e21 | all_0_218_218 = e21
% 19.89/5.07 | (422) h11(all_0_230_230) = all_0_35_35
% 19.89/5.07 | (423) ~ (all_0_227_227 = e10)
% 19.89/5.07 | (424) ~ (e22 = e20)
% 19.89/5.07 | (425) ~ (e21 = e11)
% 19.89/5.07 | (426) h12(all_0_227_227) = all_0_13_13
% 19.89/5.07 | (427) op2(all_0_219_219, e20) = all_0_145_145
% 19.89/5.07 | (428) op2(all_0_217_217, e23) = all_0_42_42
% 19.89/5.07 | (429) ~ (e20 = e12)
% 19.89/5.07 | (430) h8(all_0_230_230) = all_0_89_89
% 19.89/5.08 | (431) h11(all_0_224_224) = all_0_27_27
% 19.89/5.08 | (432) h9(all_0_226_226) = all_0_66_66
% 19.89/5.08 | (433) h2(all_0_228_228) = all_0_187_187
% 19.89/5.08 | (434) all_0_222_222 = e11 | all_0_223_223 = e11 | all_0_224_224 = e11
% 19.89/5.08 | (435) ~ (e21 = e10)
% 19.89/5.08 | (436) h2(all_0_225_225) = all_0_183_183
% 19.89/5.08 | (437) ~ (all_0_226_226 = e10)
% 19.89/5.08 | (438) h8(all_0_220_220) = all_0_73_73
% 19.89/5.08 | (439) ~ (all_0_210_210 = e20)
% 19.89/5.08 | (440) h3(all_0_224_224) = all_0_164_164
% 19.89/5.08 | (441) h4(e11) = e21
% 19.89/5.08 | (442) op2(all_0_214_214, e21) = all_0_21_21
% 19.89/5.08 | (443) h3(all_0_228_228) = all_0_169_169
% 19.89/5.08 | (444) h4(e12) = all_0_219_219
% 19.89/5.08 | (445) all_0_221_221 = e11 | all_0_224_224 = e11 | all_0_227_227 = e11
% 19.89/5.08 | (446) h1(all_0_227_227) = all_0_204_204
% 19.89/5.08 | (447) op2(all_0_209_209, e20) = all_0_62_62
% 19.89/5.08 | (448) ~ (all_0_224_224 = all_0_227_227)
% 19.89/5.08 | (449) h10(e13) = e20
% 19.89/5.08 | (450) ~ (all_0_226_226 = all_0_229_229)
% 19.89/5.08 | (451) h4(all_0_228_228) = all_0_151_151
% 19.89/5.08 | (452) all_0_210_210 = e23 | all_0_213_213 = e23 | all_0_216_216 = e23
% 19.89/5.08 | (453) op1(e13, e10) = all_0_221_221
% 19.89/5.08 | (454) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0))
% 19.89/5.08 | (455) h4(all_0_227_227) = all_0_150_150
% 19.89/5.08 | (456) h3(all_0_220_220) = all_0_156_156
% 19.89/5.08 | (457) all_0_225_225 = e13 | all_0_225_225 = e12 | all_0_225_225 = e11
% 19.89/5.08 | (458) h7(e13) = e20
% 19.89/5.08 | (459) h11(all_0_222_222) = all_0_22_22
% 19.89/5.08 | (460) ~ (all_0_223_223 = e12)
% 19.89/5.08 | (461) op2(e20, all_0_213_213) = all_0_184_184
% 19.89/5.08 | (462) h5(e13) = e22
% 19.89/5.08 | (463) ~ (all_0_214_214 = all_0_217_217)
% 19.89/5.08 | (464) op2(all_0_213_213, all_0_213_213) = all_0_178_178
% 19.89/5.08 | (465) ~ (e22 = e10)
% 19.89/5.08 | (466) op2(all_0_217_217, e20) = all_0_44_44
% 19.89/5.08 | (467) h12(e10) = e20
% 19.89/5.08 | (468) h3(e13) = e23
% 19.89/5.08 | (469) op2(e23, all_0_209_209) = all_0_54_54
% 19.89/5.08 | (470) h8(all_0_227_227) = all_0_85_85
% 19.89/5.08 | (471) h8(e11) = e22
% 19.89/5.08 | (472) all_0_223_223 = e13 | all_0_230_230 = e13
% 19.89/5.08 | (473) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h8(v2) = v1) | ~ (h8(v2) = v0))
% 19.89/5.08 | (474) h1(all_0_223_223) = all_0_198_198
% 19.89/5.08 | (475) all_0_211_211 = e21 | all_0_214_214 = e21 | all_0_217_217 = e21
% 19.89/5.08 | (476) op2(all_0_218_218, e20) = all_0_98_98
% 19.89/5.08 | (477) ~ (e20 = e13)
% 19.89/5.08 | (478) ~ (all_0_212_212 = all_0_213_213)
% 19.89/5.08 | (479) op2(all_0_219_219, e20) = all_0_140_140
% 19.89/5.08 | (480) op2(e20, e23) = all_0_217_217
% 19.89/5.08 | (481) h9(all_0_229_229) = all_0_70_70
% 19.89/5.08 | (482) ~ (all_0_222_222 = all_0_224_224)
% 19.89/5.08 | (483) h11(e13) = e21
% 19.89/5.08 | (484) h6(e11) = e21
% 19.89/5.08 | (485) ~ (all_0_18_18 = all_0_19_19) | ~ (all_0_20_20 = all_0_216_216) | ~ (all_0_21_21 = all_0_22_22) | ~ (all_0_23_23 = e20) | ~ (all_0_24_24 = all_0_25_25) | ~ (all_0_26_26 = all_0_27_27) | ~ (all_0_28_28 = e22) | ~ (all_0_29_29 = all_0_30_30) | ~ (all_0_31_31 = all_0_210_210) | ~ (all_0_32_32 = all_0_219_219) | ~ (all_0_33_33 = all_0_34_34) | ~ (all_0_35_35 = all_0_217_217) | ~ (all_0_214_214 = e22)
% 19.89/5.08 | (486) h11(all_0_220_220) = all_0_19_19
% 19.89/5.08 | (487) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 19.89/5.08 | (488) h12(e13) = e22
% 19.89/5.08 | (489) h4(all_0_226_226) = all_0_149_149
% 19.89/5.08 | (490) ~ (all_0_225_225 = all_0_228_228)
% 19.89/5.08 | (491) ~ (all_0_209_209 = all_0_210_210)
% 19.89/5.08 | (492) op2(all_0_213_213, e20) = all_0_181_181
% 19.89/5.08 |
% 19.89/5.08 +-Applying beta-rule and splitting (195), into two cases.
% 19.89/5.08 |-Branch one:
% 19.89/5.08 | (493) all_0_215_215 = e22
% 19.89/5.08 |
% 19.89/5.08 | Equations (493) can reduce 198 to:
% 19.89/5.08 | (494) ~ (all_0_218_218 = e22)
% 19.89/5.08 |
% 19.89/5.08 | Simplifying 494 yields:
% 19.89/5.08 | (495) ~ (all_0_218_218 = e22)
% 19.89/5.08 |
% 19.89/5.08 | From (493) and (97) follows:
% 19.89/5.08 | (496) op2(e22, e21) = all_0_75_75
% 19.89/5.08 |
% 19.89/5.08 | From (493) and (80) follows:
% 19.89/5.08 | (497) op2(e22, e20) = all_0_80_80
% 19.89/5.08 |
% 19.89/5.08 | From (493) and (228) follows:
% 19.89/5.08 | (498) op2(e21, e22) = all_0_72_72
% 19.89/5.08 |
% 19.89/5.08 | From (493) and (323) follows:
% 19.89/5.08 | (499) op2(e21, e22) = e22
% 19.89/5.08 |
% 19.89/5.08 | From (493) and (351) follows:
% 19.89/5.08 | (500) op2(e20, e22) = all_0_87_87
% 19.89/5.08 |
% 19.89/5.08 +-Applying beta-rule and splitting (194), into two cases.
% 19.89/5.08 |-Branch one:
% 19.89/5.08 | (501) all_0_217_217 = e22
% 19.89/5.08 |
% 19.89/5.08 | Equations (501) can reduce 397 to:
% 19.89/5.08 | (502) ~ (all_0_211_211 = e22)
% 19.89/5.08 |
% 19.89/5.08 | Equations (501) can reduce 463 to:
% 19.89/5.08 | (503) ~ (all_0_214_214 = e22)
% 19.89/5.08 |
% 19.89/5.08 | Equations (501) can reduce 120 to:
% 19.89/5.08 | (494) ~ (all_0_218_218 = e22)
% 19.89/5.08 |
% 19.89/5.08 | Simplifying 494 yields:
% 19.89/5.08 | (495) ~ (all_0_218_218 = e22)
% 19.89/5.08 |
% 19.89/5.08 | From (501) and (480) follows:
% 19.89/5.08 | (506) op2(e20, e23) = e22
% 19.89/5.08 |
% 19.89/5.09 +-Applying beta-rule and splitting (381), into two cases.
% 19.89/5.09 |-Branch one:
% 19.89/5.09 | (507) all_0_211_211 = e22
% 19.89/5.09 |
% 19.89/5.09 | Equations (507) can reduce 502 to:
% 19.89/5.09 | (508) $false
% 19.89/5.09 |
% 19.89/5.09 |-The branch is then unsatisfiable
% 19.89/5.09 |-Branch two:
% 19.89/5.09 | (502) ~ (all_0_211_211 = e22)
% 19.89/5.09 | (510) all_0_213_213 = e22
% 19.89/5.09 |
% 19.89/5.09 | Equations (510) can reduce 12 to:
% 19.89/5.09 | (141) ~ (all_0_210_210 = e22)
% 19.89/5.09 |
% 19.89/5.09 | Equations (510) can reduce 217 to:
% 19.89/5.09 | (502) ~ (all_0_211_211 = e22)
% 19.89/5.09 |
% 19.89/5.09 | Equations (510) can reduce 478 to:
% 19.89/5.09 | (222) ~ (all_0_212_212 = e22)
% 19.89/5.09 |
% 19.89/5.09 | Equations (510) can reduce 378 to:
% 19.89/5.09 | (514) ~ (all_0_216_216 = e22)
% 19.89/5.09 |
% 19.89/5.09 | Simplifying 514 yields:
% 19.89/5.09 | (515) ~ (all_0_216_216 = e22)
% 19.89/5.09 |
% 19.89/5.09 | From (510) and (7) follows:
% 19.89/5.09 | (516) op2(e22, e20) = e22
% 19.89/5.09 |
% 19.89/5.09 | Instantiating formula (148) with e22, e21, all_0_75_75, all_0_212_212 and discharging atoms op2(e22, e21) = all_0_75_75, op2(e22, e21) = all_0_212_212, yields:
% 19.89/5.09 | (517) all_0_75_75 = all_0_212_212
% 19.89/5.09 |
% 19.89/5.09 | Instantiating formula (148) with e22, e20, e22, all_0_80_80 and discharging atoms op2(e22, e20) = all_0_80_80, op2(e22, e20) = e22, yields:
% 19.89/5.09 | (518) all_0_80_80 = e22
% 19.89/5.09 |
% 19.89/5.09 | Instantiating formula (148) with e21, e22, e22, all_0_72_72 and discharging atoms op2(e21, e22) = all_0_72_72, op2(e21, e22) = e22, yields:
% 19.89/5.09 | (519) all_0_72_72 = e22
% 19.89/5.09 |
% 19.89/5.09 | Instantiating formula (148) with e20, e22, all_0_87_87, all_0_218_218 and discharging atoms op2(e20, e22) = all_0_87_87, op2(e20, e22) = all_0_218_218, yields:
% 19.89/5.09 | (520) all_0_87_87 = all_0_218_218
% 19.89/5.09 |
% 19.89/5.09 | From (517) and (496) follows:
% 19.89/5.09 | (93) op2(e22, e21) = all_0_212_212
% 19.89/5.09 |
% 19.89/5.09 | From (518) and (497) follows:
% 19.89/5.09 | (516) op2(e22, e20) = e22
% 19.89/5.09 |
% 19.89/5.09 | From (519) and (498) follows:
% 19.89/5.09 | (499) op2(e21, e22) = e22
% 19.89/5.09 |
% 19.89/5.09 | From (520) and (500) follows:
% 19.89/5.09 | (88) op2(e20, e22) = all_0_218_218
% 19.89/5.09 |
% 19.89/5.09 +-Applying beta-rule and splitting (67), into two cases.
% 19.89/5.09 |-Branch one:
% 19.89/5.09 | (525) all_0_210_210 = e23
% 19.89/5.09 |
% 19.89/5.09 | Equations (525) can reduce 119 to:
% 19.89/5.09 | (526) ~ (all_0_216_216 = e23)
% 19.89/5.09 |
% 19.89/5.09 | Simplifying 526 yields:
% 19.89/5.09 | (527) ~ (all_0_216_216 = e23)
% 19.89/5.09 |
% 19.89/5.09 | Equations (525) can reduce 141 to:
% 19.89/5.09 | (136) ~ (e23 = e22)
% 19.89/5.09 |
% 19.89/5.09 +-Applying beta-rule and splitting (162), into two cases.
% 19.89/5.09 |-Branch one:
% 19.89/5.09 | (529) all_0_216_216 = e23
% 19.89/5.09 |
% 19.89/5.09 | Equations (529) can reduce 527 to:
% 19.89/5.09 | (508) $false
% 19.89/5.09 |
% 19.89/5.09 |-The branch is then unsatisfiable
% 19.89/5.09 |-Branch two:
% 19.89/5.09 | (527) ~ (all_0_216_216 = e23)
% 19.89/5.09 | (532) all_0_216_216 = e22 | all_0_216_216 = e21
% 19.89/5.09 |
% 19.89/5.09 +-Applying beta-rule and splitting (418), into two cases.
% 19.89/5.09 |-Branch one:
% 19.89/5.09 | (533) all_0_214_214 = e23
% 19.89/5.09 |
% 19.89/5.09 | Equations (533) can reduce 79 to:
% 19.89/5.09 | (534) ~ (all_0_211_211 = e23)
% 19.89/5.09 |
% 19.89/5.09 +-Applying beta-rule and splitting (252), into two cases.
% 19.89/5.09 |-Branch one:
% 19.89/5.09 | (535) all_0_211_211 = e23
% 19.89/5.09 |
% 19.89/5.09 | Equations (535) can reduce 534 to:
% 19.89/5.09 | (508) $false
% 19.89/5.09 |
% 19.89/5.09 |-The branch is then unsatisfiable
% 19.89/5.09 |-Branch two:
% 19.89/5.09 | (534) ~ (all_0_211_211 = e23)
% 19.89/5.09 | (538) all_0_211_211 = e22 | all_0_211_211 = e21
% 19.89/5.09 |
% 19.89/5.09 +-Applying beta-rule and splitting (538), into two cases.
% 19.89/5.09 |-Branch one:
% 19.89/5.09 | (539) all_0_211_211 = e21
% 19.89/5.09 |
% 19.89/5.09 | Equations (539) can reduce 105 to:
% 19.89/5.09 | (540) ~ (all_0_212_212 = e21)
% 19.89/5.09 |
% 19.89/5.09 | Simplifying 540 yields:
% 19.89/5.09 | (541) ~ (all_0_212_212 = e21)
% 19.89/5.09 |
% 19.89/5.09 | From (539) and (234) follows:
% 19.89/5.09 | (542) op2(e22, e23) = e21
% 19.89/5.09 |
% 19.89/5.09 +-Applying beta-rule and splitting (239), into two cases.
% 19.89/5.09 |-Branch one:
% 19.89/5.09 | (543) all_0_212_212 = e23
% 19.89/5.09 |
% 19.89/5.09 | Equations (543) can reduce 304 to:
% 19.89/5.09 | (544) ~ (all_0_219_219 = e23)
% 19.89/5.09 |
% 19.89/5.09 | Simplifying 544 yields:
% 19.89/5.09 | (545) ~ (all_0_219_219 = e23)
% 19.89/5.09 |
% 19.89/5.09 | Equations (543) can reduce 222 to:
% 19.89/5.09 | (136) ~ (e23 = e22)
% 19.89/5.09 |
% 19.89/5.09 | Equations (543) can reduce 541 to:
% 19.89/5.09 | (386) ~ (e23 = e21)
% 19.89/5.09 |
% 19.89/5.09 | From (543) and (56) follows:
% 19.89/5.09 | (548) op2(e22, e23) = all_0_119_119
% 19.89/5.09 |
% 19.89/5.09 | From (543) and (353) follows:
% 19.89/5.09 | (549) op2(e20, e23) = all_0_134_134
% 19.89/5.09 |
% 19.89/5.09 +-Applying beta-rule and splitting (329), into two cases.
% 19.89/5.09 |-Branch one:
% 19.89/5.09 | (550) all_0_217_217 = e23
% 19.89/5.09 |
% 19.89/5.09 | Combining equations (501,550) yields a new equation:
% 19.89/5.09 | (551) e23 = e22
% 19.89/5.09 |
% 19.89/5.09 | Equations (551) can reduce 136 to:
% 19.89/5.09 | (508) $false
% 19.89/5.09 |
% 19.89/5.09 |-The branch is then unsatisfiable
% 19.89/5.09 |-Branch two:
% 19.89/5.09 | (553) ~ (all_0_217_217 = e23)
% 19.89/5.09 | (554) all_0_218_218 = e23 | all_0_219_219 = e23
% 19.89/5.09 |
% 19.89/5.09 +-Applying beta-rule and splitting (554), into two cases.
% 19.89/5.09 |-Branch one:
% 19.89/5.09 | (555) all_0_218_218 = e23
% 19.89/5.09 |
% 19.89/5.09 | Equations (555) can reduce 277 to:
% 19.89/5.09 | (544) ~ (all_0_219_219 = e23)
% 19.89/5.09 |
% 19.89/5.09 | Simplifying 544 yields:
% 19.89/5.09 | (545) ~ (all_0_219_219 = e23)
% 19.89/5.09 |
% 19.89/5.09 | Equations (555) can reduce 495 to:
% 19.89/5.09 | (136) ~ (e23 = e22)
% 19.89/5.09 |
% 19.89/5.09 | From (555) and (88) follows:
% 19.89/5.09 | (559) op2(e20, e22) = e23
% 19.89/5.09 |
% 19.89/5.09 +-Applying beta-rule and splitting (22), into two cases.
% 19.89/5.09 |-Branch one:
% 19.89/5.09 | (560) all_0_212_212 = e21
% 19.89/5.09 |
% 19.89/5.09 | Combining equations (543,560) yields a new equation:
% 19.89/5.09 | (561) e23 = e21
% 19.89/5.09 |
% 19.89/5.09 | Simplifying 561 yields:
% 19.89/5.09 | (562) e23 = e21
% 19.89/5.09 |
% 19.89/5.09 | Equations (562) can reduce 386 to:
% 19.89/5.09 | (508) $false
% 19.89/5.09 |
% 19.89/5.09 |-The branch is then unsatisfiable
% 19.89/5.09 |-Branch two:
% 19.89/5.09 | (541) ~ (all_0_212_212 = e21)
% 19.89/5.09 | (565) all_0_219_219 = e21
% 19.89/5.09 |
% 19.89/5.09 | Equations (565) can reduce 545 to:
% 19.89/5.10 | (566) ~ (e23 = e21)
% 19.89/5.10 |
% 19.89/5.10 | Simplifying 566 yields:
% 19.89/5.10 | (386) ~ (e23 = e21)
% 19.89/5.10 |
% 19.89/5.10 | From (565) and (62) follows:
% 19.89/5.10 | (568) op2(e20, e21) = e21
% 19.89/5.10 |
% 19.89/5.10 +-Applying beta-rule and splitting (201), into two cases.
% 19.89/5.10 |-Branch one:
% 19.89/5.10 | (569) all_0_209_209 = e21
% 19.89/5.10 |
% 19.89/5.10 | Equations (569) can reduce 161 to:
% 19.89/5.10 | (387) ~ (e21 = e20)
% 19.89/5.10 |
% 19.89/5.10 | Instantiating formula (148) with e22, e23, e21, all_0_119_119 and discharging atoms op2(e22, e23) = all_0_119_119, op2(e22, e23) = e21, yields:
% 19.89/5.10 | (571) all_0_119_119 = e21
% 19.89/5.10 |
% 19.89/5.10 | Instantiating formula (148) with e20, e23, all_0_134_134, e22 and discharging atoms op2(e20, e23) = all_0_134_134, op2(e20, e23) = e22, yields:
% 19.89/5.10 | (572) all_0_134_134 = e22
% 19.89/5.10 |
% 19.89/5.10 | From (571) and (548) follows:
% 19.89/5.10 | (542) op2(e22, e23) = e21
% 19.89/5.10 |
% 19.89/5.10 | From (572) and (549) follows:
% 19.89/5.10 | (506) op2(e20, e23) = e22
% 19.89/5.10 |
% 19.89/5.10 +-Applying beta-rule and splitting (377), into two cases.
% 19.89/5.10 |-Branch one:
% 19.89/5.10 | (575) unit2 = e20
% 19.89/5.10 |
% 19.89/5.10 | From (575) and (416) follows:
% 19.89/5.10 | (576) op2(e20, e22) = e22
% 19.89/5.10 |
% 19.89/5.10 | Instantiating formula (148) with e20, e22, e22, e23 and discharging atoms op2(e20, e22) = e23, op2(e20, e22) = e22, yields:
% 19.89/5.10 | (551) e23 = e22
% 19.89/5.10 |
% 19.89/5.10 | Equations (551) can reduce 136 to:
% 19.89/5.10 | (508) $false
% 19.89/5.10 |
% 19.89/5.10 |-The branch is then unsatisfiable
% 19.89/5.10 |-Branch two:
% 19.89/5.10 | (579) ~ (unit2 = e20)
% 19.89/5.10 | (580) unit2 = e23 | unit2 = e22 | unit2 = e21
% 19.89/5.10 |
% 19.89/5.10 +-Applying beta-rule and splitting (580), into two cases.
% 19.89/5.10 |-Branch one:
% 19.89/5.10 | (581) unit2 = e23
% 19.89/5.10 |
% 19.89/5.10 | From (581) and (338) follows:
% 19.89/5.10 | (582) op2(e22, e23) = e22
% 19.89/5.10 |
% 19.89/5.10 | From (581) and (339) follows:
% 19.89/5.10 | (583) op2(e20, e23) = e20
% 19.89/5.10 |
% 19.89/5.10 | Instantiating formula (148) with e22, e23, e22, e21 and discharging atoms op2(e22, e23) = e22, op2(e22, e23) = e21, yields:
% 19.89/5.10 | (584) e22 = e21
% 19.89/5.10 |
% 19.89/5.10 | Instantiating formula (148) with e20, e23, e20, e22 and discharging atoms op2(e20, e23) = e22, op2(e20, e23) = e20, yields:
% 19.89/5.10 | (585) e22 = e20
% 19.89/5.10 |
% 19.89/5.10 | Combining equations (585,584) yields a new equation:
% 19.89/5.10 | (586) e21 = e20
% 19.89/5.10 |
% 19.89/5.10 | Equations (586) can reduce 387 to:
% 19.89/5.10 | (508) $false
% 19.89/5.10 |
% 19.89/5.10 |-The branch is then unsatisfiable
% 19.89/5.10 |-Branch two:
% 19.89/5.10 | (588) ~ (unit2 = e23)
% 19.89/5.10 | (589) unit2 = e22 | unit2 = e21
% 19.89/5.10 |
% 19.89/5.10 +-Applying beta-rule and splitting (589), into two cases.
% 19.89/5.10 |-Branch one:
% 19.89/5.10 | (590) unit2 = e21
% 19.89/5.10 |
% 19.89/5.10 | Equations (590) can reduce 579 to:
% 19.89/5.10 | (387) ~ (e21 = e20)
% 19.89/5.10 |
% 19.89/5.10 | From (590) and (339) follows:
% 19.89/5.10 | (592) op2(e20, e21) = e20
% 19.89/5.10 |
% 19.89/5.10 | Instantiating formula (148) with e20, e21, e20, e21 and discharging atoms op2(e20, e21) = e21, op2(e20, e21) = e20, yields:
% 19.89/5.10 | (586) e21 = e20
% 19.89/5.10 |
% 19.89/5.10 | Equations (586) can reduce 387 to:
% 19.89/5.10 | (508) $false
% 19.89/5.10 |
% 19.89/5.10 |-The branch is then unsatisfiable
% 19.89/5.10 |-Branch two:
% 19.89/5.10 | (595) ~ (unit2 = e21)
% 19.89/5.10 | (596) unit2 = e22
% 19.89/5.10 |
% 19.89/5.10 | From (596) and (146) follows:
% 19.89/5.10 | (597) op2(e22, e20) = e20
% 19.89/5.10 |
% 19.89/5.10 | From (596) and (276) follows:
% 19.89/5.10 | (598) op2(e21, e22) = e21
% 19.89/5.10 |
% 19.89/5.10 | Instantiating formula (148) with e22, e20, e20, e22 and discharging atoms op2(e22, e20) = e22, op2(e22, e20) = e20, yields:
% 19.89/5.10 | (585) e22 = e20
% 19.89/5.10 |
% 19.89/5.10 | Instantiating formula (148) with e21, e22, e21, e22 and discharging atoms op2(e21, e22) = e22, op2(e21, e22) = e21, yields:
% 19.89/5.10 | (584) e22 = e21
% 19.89/5.10 |
% 19.89/5.10 | Combining equations (584,585) yields a new equation:
% 19.89/5.10 | (601) e21 = e20
% 19.89/5.10 |
% 19.89/5.10 | Simplifying 601 yields:
% 19.89/5.10 | (586) e21 = e20
% 19.89/5.10 |
% 19.89/5.10 | Equations (586) can reduce 387 to:
% 19.89/5.10 | (508) $false
% 19.89/5.10 |
% 19.89/5.10 |-The branch is then unsatisfiable
% 19.89/5.10 |-Branch two:
% 19.89/5.10 | (604) ~ (all_0_209_209 = e21)
% 19.89/5.10 | (605) all_0_210_210 = e21
% 19.89/5.10 |
% 19.89/5.10 | Combining equations (605,525) yields a new equation:
% 19.89/5.10 | (562) e23 = e21
% 19.89/5.10 |
% 19.89/5.10 | Equations (562) can reduce 386 to:
% 19.89/5.10 | (508) $false
% 19.89/5.10 |
% 19.89/5.10 |-The branch is then unsatisfiable
% 19.89/5.10 |-Branch two:
% 19.89/5.10 | (608) ~ (all_0_218_218 = e23)
% 19.89/5.10 | (609) all_0_219_219 = e23
% 19.89/5.10 |
% 19.89/5.10 | Equations (609) can reduce 545 to:
% 19.89/5.10 | (508) $false
% 19.89/5.10 |
% 19.89/5.10 |-The branch is then unsatisfiable
% 19.89/5.10 |-Branch two:
% 19.89/5.10 | (611) ~ (all_0_212_212 = e23)
% 19.89/5.10 | (560) all_0_212_212 = e21
% 19.89/5.10 |
% 19.89/5.10 | Equations (560) can reduce 541 to:
% 19.89/5.10 | (508) $false
% 19.89/5.10 |
% 19.89/5.10 |-The branch is then unsatisfiable
% 19.89/5.10 |-Branch two:
% 19.89/5.10 | (614) ~ (all_0_211_211 = e21)
% 19.89/5.10 | (507) all_0_211_211 = e22
% 19.89/5.10 |
% 19.89/5.10 | Equations (507) can reduce 502 to:
% 19.89/5.10 | (508) $false
% 19.89/5.10 |
% 19.89/5.10 |-The branch is then unsatisfiable
% 19.89/5.10 |-Branch two:
% 19.89/5.10 | (617) ~ (all_0_214_214 = e23)
% 19.89/5.10 | (618) all_0_215_215 = e23 | all_0_216_216 = e23
% 19.89/5.10 |
% 19.89/5.10 +-Applying beta-rule and splitting (532), into two cases.
% 19.89/5.10 |-Branch one:
% 19.89/5.10 | (619) all_0_216_216 = e21
% 19.89/5.10 |
% 19.89/5.10 | Equations (619) can reduce 527 to:
% 19.89/5.10 | (566) ~ (e23 = e21)
% 19.89/5.10 |
% 19.89/5.10 | Simplifying 566 yields:
% 19.89/5.10 | (386) ~ (e23 = e21)
% 19.89/5.10 |
% 19.89/5.10 +-Applying beta-rule and splitting (618), into two cases.
% 19.89/5.10 |-Branch one:
% 19.89/5.10 | (622) all_0_215_215 = e23
% 19.89/5.10 |
% 19.89/5.10 | Combining equations (493,622) yields a new equation:
% 19.89/5.10 | (551) e23 = e22
% 19.89/5.10 |
% 19.89/5.10 | Equations (551) can reduce 136 to:
% 19.89/5.10 | (508) $false
% 19.89/5.10 |
% 19.89/5.10 |-The branch is then unsatisfiable
% 19.89/5.10 |-Branch two:
% 19.89/5.10 | (625) ~ (all_0_215_215 = e23)
% 19.89/5.10 | (529) all_0_216_216 = e23
% 19.89/5.10 |
% 19.89/5.11 | Combining equations (619,529) yields a new equation:
% 19.89/5.11 | (562) e23 = e21
% 19.89/5.11 |
% 19.89/5.11 | Equations (562) can reduce 386 to:
% 19.89/5.11 | (508) $false
% 19.89/5.11 |
% 19.89/5.11 |-The branch is then unsatisfiable
% 19.89/5.11 |-Branch two:
% 19.89/5.11 | (629) ~ (all_0_216_216 = e21)
% 19.89/5.11 | (630) all_0_216_216 = e22
% 19.89/5.11 |
% 19.89/5.11 | Equations (630) can reduce 515 to:
% 19.89/5.11 | (508) $false
% 19.89/5.11 |
% 19.89/5.11 |-The branch is then unsatisfiable
% 19.89/5.11 |-Branch two:
% 19.89/5.11 | (632) ~ (all_0_210_210 = e23)
% 19.89/5.11 | (605) all_0_210_210 = e21
% 19.89/5.11 |
% 19.89/5.11 | Equations (605) can reduce 119 to:
% 19.89/5.11 | (634) ~ (all_0_216_216 = e21)
% 19.89/5.11 |
% 19.89/5.11 | Simplifying 634 yields:
% 19.89/5.11 | (629) ~ (all_0_216_216 = e21)
% 19.89/5.11 |
% 19.89/5.11 | Equations (605) can reduce 632 to:
% 19.89/5.11 | (566) ~ (e23 = e21)
% 19.89/5.11 |
% 19.89/5.11 | Simplifying 566 yields:
% 19.89/5.11 | (386) ~ (e23 = e21)
% 19.89/5.11 |
% 19.89/5.11 +-Applying beta-rule and splitting (235), into two cases.
% 19.89/5.11 |-Branch one:
% 19.89/5.11 | (638) all_0_209_209 = e23
% 19.89/5.11 |
% 19.89/5.11 | Equations (638) can reduce 155 to:
% 19.89/5.11 | (639) ~ (all_0_218_218 = e23)
% 19.89/5.11 |
% 19.89/5.11 | Simplifying 639 yields:
% 19.89/5.11 | (608) ~ (all_0_218_218 = e23)
% 19.89/5.11 |
% 19.89/5.11 +-Applying beta-rule and splitting (405), into two cases.
% 19.89/5.11 |-Branch one:
% 19.89/5.11 | (555) all_0_218_218 = e23
% 19.89/5.11 |
% 19.89/5.11 | Equations (555) can reduce 608 to:
% 19.89/5.11 | (508) $false
% 19.89/5.11 |
% 19.89/5.11 |-The branch is then unsatisfiable
% 19.89/5.11 |-Branch two:
% 19.89/5.11 | (608) ~ (all_0_218_218 = e23)
% 19.89/5.11 | (644) all_0_218_218 = e22 | all_0_218_218 = e21
% 19.89/5.11 |
% 19.89/5.11 +-Applying beta-rule and splitting (644), into two cases.
% 19.89/5.11 |-Branch one:
% 19.89/5.11 | (645) all_0_218_218 = e21
% 19.89/5.11 |
% 19.89/5.11 | Equations (645) can reduce 277 to:
% 19.89/5.11 | (646) ~ (all_0_219_219 = e21)
% 19.89/5.11 |
% 19.89/5.11 | Simplifying 646 yields:
% 19.89/5.11 | (647) ~ (all_0_219_219 = e21)
% 19.89/5.11 |
% 19.89/5.11 +-Applying beta-rule and splitting (275), into two cases.
% 19.89/5.11 |-Branch one:
% 19.89/5.11 | (609) all_0_219_219 = e23
% 19.89/5.11 |
% 19.89/5.11 | Equations (609) can reduce 304 to:
% 19.89/5.11 | (611) ~ (all_0_212_212 = e23)
% 19.89/5.11 |
% 19.89/5.11 | From (609) and (62) follows:
% 19.89/5.11 | (650) op2(e20, e21) = e23
% 19.89/5.11 |
% 19.89/5.11 +-Applying beta-rule and splitting (239), into two cases.
% 19.89/5.11 |-Branch one:
% 19.89/5.11 | (543) all_0_212_212 = e23
% 19.89/5.11 |
% 19.89/5.11 | Equations (543) can reduce 611 to:
% 19.89/5.11 | (508) $false
% 19.89/5.11 |
% 19.89/5.11 |-The branch is then unsatisfiable
% 19.89/5.11 |-Branch two:
% 19.89/5.11 | (611) ~ (all_0_212_212 = e23)
% 19.89/5.11 | (560) all_0_212_212 = e21
% 19.89/5.11 |
% 19.89/5.11 | Equations (560) can reduce 222 to:
% 19.89/5.11 | (655) ~ (e22 = e21)
% 19.89/5.11 |
% 19.89/5.11 | Simplifying 655 yields:
% 19.89/5.11 | (37) ~ (e22 = e21)
% 19.89/5.11 |
% 19.89/5.11 | From (560) and (404) follows:
% 19.89/5.11 | (657) op2(e21, e22) = all_0_122_122
% 19.89/5.11 |
% 19.89/5.11 | From (560) and (56) follows:
% 19.89/5.11 | (658) op2(e22, e21) = all_0_119_119
% 19.89/5.11 |
% 19.89/5.11 | From (560) and (93) follows:
% 19.89/5.11 | (659) op2(e22, e21) = e21
% 19.89/5.11 |
% 19.89/5.11 | From (560) and (353) follows:
% 19.89/5.11 | (660) op2(e20, e21) = all_0_134_134
% 19.89/5.11 |
% 19.89/5.11 +-Applying beta-rule and splitting (361), into two cases.
% 19.89/5.11 |-Branch one:
% 19.89/5.11 | (661) all_0_214_214 = e21
% 19.89/5.11 |
% 19.89/5.11 | Equations (661) can reduce 79 to:
% 19.89/5.11 | (614) ~ (all_0_211_211 = e21)
% 19.89/5.11 |
% 19.89/5.11 | Equations (661) can reduce 503 to:
% 19.89/5.11 | (655) ~ (e22 = e21)
% 19.89/5.11 |
% 19.89/5.11 | Simplifying 655 yields:
% 19.89/5.11 | (37) ~ (e22 = e21)
% 19.89/5.11 |
% 19.89/5.11 | Equations (661) can reduce 63 to:
% 19.89/5.11 | (387) ~ (e21 = e20)
% 19.89/5.11 |
% 19.89/5.11 +-Applying beta-rule and splitting (252), into two cases.
% 19.89/5.11 |-Branch one:
% 19.89/5.11 | (535) all_0_211_211 = e23
% 19.89/5.11 |
% 19.89/5.11 | From (535) and (234) follows:
% 19.89/5.11 | (667) op2(e22, e23) = e23
% 19.89/5.11 |
% 19.89/5.11 | Instantiating formula (148) with e22, e21, e21, all_0_119_119 and discharging atoms op2(e22, e21) = all_0_119_119, op2(e22, e21) = e21, yields:
% 19.89/5.11 | (571) all_0_119_119 = e21
% 19.89/5.11 |
% 19.89/5.11 | Instantiating formula (148) with e21, e22, all_0_122_122, e22 and discharging atoms op2(e21, e22) = all_0_122_122, op2(e21, e22) = e22, yields:
% 19.89/5.11 | (669) all_0_122_122 = e22
% 19.89/5.11 |
% 19.89/5.11 | Instantiating formula (148) with e20, e21, e23, all_0_134_134 and discharging atoms op2(e20, e21) = all_0_134_134, op2(e20, e21) = e23, yields:
% 19.89/5.11 | (670) all_0_134_134 = e23
% 19.89/5.11 |
% 19.89/5.11 | From (571) and (658) follows:
% 19.89/5.11 | (659) op2(e22, e21) = e21
% 19.89/5.11 |
% 19.89/5.11 | From (669) and (657) follows:
% 19.89/5.11 | (499) op2(e21, e22) = e22
% 19.89/5.11 |
% 19.89/5.11 | From (670) and (660) follows:
% 20.07/5.11 | (650) op2(e20, e21) = e23
% 20.07/5.11 |
% 20.07/5.11 +-Applying beta-rule and splitting (377), into two cases.
% 20.07/5.11 |-Branch one:
% 20.07/5.11 | (575) unit2 = e20
% 20.07/5.11 |
% 20.07/5.11 | From (575) and (116) follows:
% 20.07/5.11 | (675) op2(e20, e23) = e23
% 20.07/5.11 |
% 20.07/5.11 | From (575) and (29) follows:
% 20.07/5.11 | (568) op2(e20, e21) = e21
% 20.07/5.11 |
% 20.07/5.11 | Instantiating formula (148) with e20, e23, e23, e22 and discharging atoms op2(e20, e23) = e23, op2(e20, e23) = e22, yields:
% 20.07/5.11 | (551) e23 = e22
% 20.07/5.11 |
% 20.07/5.11 | Instantiating formula (148) with e20, e21, e21, e23 and discharging atoms op2(e20, e21) = e23, op2(e20, e21) = e21, yields:
% 20.07/5.11 | (562) e23 = e21
% 20.07/5.11 |
% 20.07/5.11 | Combining equations (551,562) yields a new equation:
% 20.07/5.11 | (679) e22 = e21
% 20.07/5.11 |
% 20.07/5.11 | Simplifying 679 yields:
% 20.07/5.11 | (584) e22 = e21
% 20.07/5.11 |
% 20.07/5.11 | Equations (584) can reduce 37 to:
% 20.07/5.11 | (508) $false
% 20.07/5.11 |
% 20.07/5.11 |-The branch is then unsatisfiable
% 20.07/5.11 |-Branch two:
% 20.07/5.11 | (579) ~ (unit2 = e20)
% 20.07/5.11 | (580) unit2 = e23 | unit2 = e22 | unit2 = e21
% 20.07/5.11 |
% 20.07/5.11 +-Applying beta-rule and splitting (580), into two cases.
% 20.07/5.11 |-Branch one:
% 20.07/5.11 | (581) unit2 = e23
% 20.07/5.11 |
% 20.07/5.11 | From (581) and (29) follows:
% 20.07/5.11 | (685) op2(e23, e21) = e21
% 20.07/5.11 |
% 20.07/5.11 | From (581) and (412) follows:
% 20.07/5.11 | (686) op2(e23, e23) = e23
% 20.07/5.11 |
% 20.07/5.11 | From (581) and (338) follows:
% 20.07/5.12 | (582) op2(e22, e23) = e22
% 20.07/5.12 |
% 20.07/5.12 | Instantiating formula (148) with e23, e23, e23, e20 and discharging atoms op2(e23, e23) = e23, op2(e23, e23) = e20, yields:
% 20.07/5.12 | (688) e23 = e20
% 20.07/5.12 |
% 20.07/5.12 | Instantiating formula (148) with e23, e21, e21, e22 and discharging atoms op2(e23, e21) = e22, op2(e23, e21) = e21, yields:
% 20.07/5.12 | (584) e22 = e21
% 20.07/5.12 |
% 20.07/5.12 | Instantiating formula (148) with e22, e23, e22, e23 and discharging atoms op2(e22, e23) = e23, op2(e22, e23) = e22, yields:
% 20.07/5.12 | (551) e23 = e22
% 20.07/5.12 |
% 20.07/5.12 | Combining equations (551,688) yields a new equation:
% 20.07/5.12 | (691) e22 = e20
% 20.07/5.12 |
% 20.07/5.12 | Simplifying 691 yields:
% 20.07/5.12 | (585) e22 = e20
% 20.07/5.12 |
% 20.07/5.12 | Combining equations (584,585) yields a new equation:
% 20.07/5.12 | (601) e21 = e20
% 20.07/5.12 |
% 20.07/5.12 | Simplifying 601 yields:
% 20.07/5.12 | (586) e21 = e20
% 20.07/5.12 |
% 20.07/5.12 | Equations (586) can reduce 387 to:
% 20.07/5.12 | (508) $false
% 20.07/5.12 |
% 20.07/5.12 |-The branch is then unsatisfiable
% 20.07/5.12 |-Branch two:
% 20.07/5.12 | (588) ~ (unit2 = e23)
% 20.07/5.12 | (589) unit2 = e22 | unit2 = e21
% 20.07/5.12 |
% 20.07/5.12 +-Applying beta-rule and splitting (589), into two cases.
% 20.07/5.12 |-Branch one:
% 20.07/5.12 | (590) unit2 = e21
% 20.07/5.12 |
% 20.07/5.12 | Equations (590) can reduce 579 to:
% 20.07/5.12 | (387) ~ (e21 = e20)
% 20.07/5.12 |
% 20.07/5.12 | From (590) and (412) follows:
% 20.07/5.12 | (700) op2(e23, e21) = e23
% 20.07/5.12 |
% 20.07/5.12 | From (590) and (338) follows:
% 20.07/5.12 | (701) op2(e22, e21) = e22
% 20.07/5.12 |
% 20.07/5.12 | From (590) and (339) follows:
% 20.07/5.12 | (592) op2(e20, e21) = e20
% 20.07/5.12 |
% 20.07/5.12 | Instantiating formula (148) with e23, e21, e23, e22 and discharging atoms op2(e23, e21) = e23, op2(e23, e21) = e22, yields:
% 20.07/5.12 | (551) e23 = e22
% 20.07/5.12 |
% 20.07/5.12 | Instantiating formula (148) with e22, e21, e22, e21 and discharging atoms op2(e22, e21) = e22, op2(e22, e21) = e21, yields:
% 20.07/5.12 | (584) e22 = e21
% 20.07/5.12 |
% 20.07/5.12 | Instantiating formula (148) with e20, e21, e20, e23 and discharging atoms op2(e20, e21) = e23, op2(e20, e21) = e20, yields:
% 20.07/5.12 | (688) e23 = e20
% 20.07/5.12 |
% 20.07/5.12 | Combining equations (551,688) yields a new equation:
% 20.07/5.12 | (691) e22 = e20
% 20.07/5.12 |
% 20.07/5.12 | Simplifying 691 yields:
% 20.07/5.12 | (585) e22 = e20
% 20.07/5.12 |
% 20.07/5.12 | Combining equations (585,584) yields a new equation:
% 20.07/5.12 | (586) e21 = e20
% 20.07/5.12 |
% 20.07/5.12 | Equations (586) can reduce 387 to:
% 20.07/5.12 | (508) $false
% 20.07/5.12 |
% 20.07/5.12 |-The branch is then unsatisfiable
% 20.07/5.12 |-Branch two:
% 20.07/5.12 | (595) ~ (unit2 = e21)
% 20.07/5.12 | (596) unit2 = e22
% 20.07/5.12 |
% 20.07/5.12 | From (596) and (146) follows:
% 20.07/5.12 | (597) op2(e22, e20) = e20
% 20.07/5.12 |
% 20.07/5.12 | From (596) and (276) follows:
% 20.07/5.12 | (598) op2(e21, e22) = e21
% 20.07/5.12 |
% 20.07/5.12 | Instantiating formula (148) with e22, e20, e20, e22 and discharging atoms op2(e22, e20) = e22, op2(e22, e20) = e20, yields:
% 20.07/5.12 | (585) e22 = e20
% 20.07/5.12 |
% 20.07/5.12 | Instantiating formula (148) with e21, e22, e21, e22 and discharging atoms op2(e21, e22) = e22, op2(e21, e22) = e21, yields:
% 20.07/5.12 | (584) e22 = e21
% 20.07/5.12 |
% 20.07/5.12 | Combining equations (584,585) yields a new equation:
% 20.07/5.12 | (601) e21 = e20
% 20.07/5.12 |
% 20.07/5.12 | Simplifying 601 yields:
% 20.07/5.12 | (586) e21 = e20
% 20.07/5.12 |
% 20.07/5.12 | Equations (586) can reduce 387 to:
% 20.07/5.12 | (508) $false
% 20.07/5.12 |
% 20.07/5.12 |-The branch is then unsatisfiable
% 20.07/5.12 |-Branch two:
% 20.07/5.12 | (534) ~ (all_0_211_211 = e23)
% 20.07/5.12 | (538) all_0_211_211 = e22 | all_0_211_211 = e21
% 20.07/5.12 |
% 20.07/5.12 +-Applying beta-rule and splitting (538), into two cases.
% 20.07/5.12 |-Branch one:
% 20.07/5.12 | (539) all_0_211_211 = e21
% 20.07/5.12 |
% 20.07/5.12 | Equations (539) can reduce 614 to:
% 20.07/5.12 | (508) $false
% 20.07/5.12 |
% 20.07/5.12 |-The branch is then unsatisfiable
% 20.07/5.12 |-Branch two:
% 20.07/5.12 | (614) ~ (all_0_211_211 = e21)
% 20.07/5.12 | (507) all_0_211_211 = e22
% 20.07/5.12 |
% 20.07/5.12 | Equations (507) can reduce 502 to:
% 20.07/5.12 | (508) $false
% 20.07/5.12 |
% 20.07/5.12 |-The branch is then unsatisfiable
% 20.07/5.12 |-Branch two:
% 20.07/5.12 | (726) ~ (all_0_214_214 = e21)
% 20.07/5.12 | (727) all_0_215_215 = e21 | all_0_216_216 = e21
% 20.07/5.12 |
% 20.07/5.12 +-Applying beta-rule and splitting (727), into two cases.
% 20.07/5.12 |-Branch one:
% 20.07/5.12 | (728) all_0_215_215 = e21
% 20.07/5.12 |
% 20.07/5.12 | Combining equations (493,728) yields a new equation:
% 20.07/5.12 | (679) e22 = e21
% 20.07/5.12 |
% 20.07/5.12 | Simplifying 679 yields:
% 20.07/5.12 | (584) e22 = e21
% 20.07/5.12 |
% 20.07/5.12 | Equations (584) can reduce 37 to:
% 20.07/5.12 | (508) $false
% 20.07/5.12 |
% 20.07/5.12 |-The branch is then unsatisfiable
% 20.07/5.12 |-Branch two:
% 20.07/5.12 | (732) ~ (all_0_215_215 = e21)
% 20.07/5.12 | (619) all_0_216_216 = e21
% 20.07/5.12 |
% 20.07/5.12 | Equations (619) can reduce 629 to:
% 20.07/5.12 | (508) $false
% 20.07/5.12 |
% 20.07/5.12 |-The branch is then unsatisfiable
% 20.07/5.12 |-Branch two:
% 20.07/5.12 | (545) ~ (all_0_219_219 = e23)
% 20.07/5.12 | (565) all_0_219_219 = e21
% 20.07/5.12 |
% 20.07/5.12 | Equations (565) can reduce 647 to:
% 20.07/5.12 | (508) $false
% 20.07/5.12 |
% 20.07/5.12 |-The branch is then unsatisfiable
% 20.07/5.12 |-Branch two:
% 20.07/5.12 | (738) ~ (all_0_218_218 = e21)
% 20.07/5.12 | (739) all_0_218_218 = e22
% 20.07/5.12 |
% 20.07/5.12 | Equations (739) can reduce 495 to:
% 20.07/5.12 | (508) $false
% 20.07/5.12 |
% 20.07/5.12 |-The branch is then unsatisfiable
% 20.07/5.12 |-Branch two:
% 20.07/5.12 | (741) ~ (all_0_209_209 = e23)
% 20.07/5.12 | (525) all_0_210_210 = e23
% 20.07/5.12 |
% 20.07/5.12 | Combining equations (605,525) yields a new equation:
% 20.07/5.12 | (562) e23 = e21
% 20.07/5.12 |
% 20.07/5.13 | Equations (562) can reduce 386 to:
% 20.07/5.13 | (508) $false
% 20.07/5.13 |
% 20.07/5.13 |-The branch is then unsatisfiable
% 20.07/5.13 |-Branch two:
% 20.07/5.13 | (745) ~ (all_0_217_217 = e22)
% 20.07/5.13 | (739) all_0_218_218 = e22
% 20.07/5.13 |
% 20.07/5.13 | Equations (739) can reduce 495 to:
% 20.07/5.13 | (508) $false
% 20.07/5.13 |
% 20.07/5.13 |-The branch is then unsatisfiable
% 20.07/5.13 |-Branch two:
% 20.07/5.13 | (748) ~ (all_0_215_215 = e22)
% 20.07/5.13 | (739) all_0_218_218 = e22
% 20.07/5.13 |
% 20.07/5.13 | Equations (739) can reduce 155 to:
% 20.07/5.13 | (337) ~ (all_0_209_209 = e22)
% 20.07/5.13 |
% 20.07/5.13 | Equations (739) can reduce 198 to:
% 20.07/5.13 | (748) ~ (all_0_215_215 = e22)
% 20.07/5.13 |
% 20.07/5.13 | Equations (739) can reduce 277 to:
% 20.07/5.13 | (752) ~ (all_0_219_219 = e22)
% 20.07/5.13 |
% 20.07/5.13 | Simplifying 752 yields:
% 20.07/5.13 | (261) ~ (all_0_219_219 = e22)
% 20.07/5.13 |
% 20.07/5.13 | From (739) and (88) follows:
% 20.07/5.13 | (576) op2(e20, e22) = e22
% 20.07/5.13 |
% 20.07/5.13 +-Applying beta-rule and splitting (65), into two cases.
% 20.07/5.13 |-Branch one:
% 20.07/5.13 | (510) all_0_213_213 = e22
% 20.07/5.13 |
% 20.07/5.13 | Equations (510) can reduce 12 to:
% 20.07/5.13 | (141) ~ (all_0_210_210 = e22)
% 20.07/5.13 |
% 20.07/5.13 | Equations (510) can reduce 478 to:
% 20.07/5.13 | (222) ~ (all_0_212_212 = e22)
% 20.07/5.13 |
% 20.07/5.13 | Equations (510) can reduce 378 to:
% 20.07/5.13 | (514) ~ (all_0_216_216 = e22)
% 20.07/5.13 |
% 20.07/5.13 | Simplifying 514 yields:
% 20.07/5.13 | (515) ~ (all_0_216_216 = e22)
% 20.07/5.13 |
% 20.07/5.13 +-Applying beta-rule and splitting (286), into two cases.
% 20.07/5.13 |-Branch one:
% 20.07/5.13 | (760) all_0_214_214 = e22
% 20.07/5.13 |
% 20.07/5.13 | Equations (760) can reduce 79 to:
% 20.07/5.13 | (502) ~ (all_0_211_211 = e22)
% 20.07/5.13 |
% 20.07/5.13 | Equations (760) can reduce 287 to:
% 20.07/5.13 | (762) ~ (all_0_215_215 = e22)
% 20.07/5.13 |
% 20.07/5.13 | Simplifying 762 yields:
% 20.07/5.13 | (748) ~ (all_0_215_215 = e22)
% 20.07/5.13 |
% 20.07/5.13 | Equations (760) can reduce 35 to:
% 20.07/5.13 | (514) ~ (all_0_216_216 = e22)
% 20.07/5.13 |
% 20.07/5.13 | Simplifying 514 yields:
% 20.07/5.13 | (515) ~ (all_0_216_216 = e22)
% 20.07/5.13 |
% 20.07/5.13 | From (760) and (18) follows:
% 20.07/5.13 | (766) op2(e22, e23) = all_0_24_24
% 20.07/5.13 |
% 20.07/5.13 | From (760) and (442) follows:
% 20.07/5.13 | (767) op2(e22, e21) = all_0_21_21
% 20.07/5.13 |
% 20.07/5.13 | From (760) and (60) follows:
% 20.07/5.13 | (768) op2(e23, e22) = all_0_29_29
% 20.07/5.13 |
% 20.07/5.13 | From (760) and (374) follows:
% 20.07/5.13 | (769) op2(e21, e22) = all_0_18_18
% 20.07/5.13 |
% 20.07/5.13 | From (760) and (238) follows:
% 20.07/5.13 | (770) op2(e21, e23) = e22
% 20.07/5.13 |
% 20.07/5.13 | From (760) and (264) follows:
% 20.07/5.13 | (771) op2(e20, e22) = all_0_33_33
% 20.07/5.13 |
% 20.07/5.13 | Instantiating formula (148) with e23, e22, all_0_29_29, all_0_209_209 and discharging atoms op2(e23, e22) = all_0_29_29, op2(e23, e22) = all_0_209_209, yields:
% 20.07/5.13 | (772) all_0_29_29 = all_0_209_209
% 20.07/5.13 |
% 20.07/5.13 | Instantiating formula (148) with e22, e23, all_0_24_24, all_0_211_211 and discharging atoms op2(e22, e23) = all_0_24_24, op2(e22, e23) = all_0_211_211, yields:
% 20.07/5.13 | (773) all_0_24_24 = all_0_211_211
% 20.07/5.13 |
% 20.07/5.13 | Instantiating formula (148) with e22, e21, all_0_21_21, all_0_212_212 and discharging atoms op2(e22, e21) = all_0_21_21, op2(e22, e21) = all_0_212_212, yields:
% 20.07/5.13 | (774) all_0_21_21 = all_0_212_212
% 20.07/5.13 |
% 20.07/5.13 | Instantiating formula (148) with e21, e22, all_0_18_18, all_0_215_215 and discharging atoms op2(e21, e22) = all_0_18_18, op2(e21, e22) = all_0_215_215, yields:
% 20.07/5.13 | (775) all_0_18_18 = all_0_215_215
% 20.07/5.13 |
% 20.07/5.13 | Instantiating formula (148) with e20, e22, all_0_33_33, e22 and discharging atoms op2(e20, e22) = all_0_33_33, op2(e20, e22) = e22, yields:
% 20.07/5.13 | (776) all_0_33_33 = e22
% 20.07/5.13 |
% 20.07/5.13 | From (772) and (768) follows:
% 20.07/5.13 | (114) op2(e23, e22) = all_0_209_209
% 20.07/5.13 |
% 20.07/5.13 | From (773) and (766) follows:
% 20.07/5.13 | (234) op2(e22, e23) = all_0_211_211
% 20.07/5.13 |
% 20.07/5.13 | From (774) and (767) follows:
% 20.07/5.13 | (93) op2(e22, e21) = all_0_212_212
% 20.07/5.13 |
% 20.07/5.13 | From (775) and (769) follows:
% 20.07/5.13 | (323) op2(e21, e22) = all_0_215_215
% 20.07/5.13 |
% 20.07/5.13 | From (776) and (771) follows:
% 20.07/5.13 | (576) op2(e20, e22) = e22
% 20.07/5.13 |
% 20.07/5.13 +-Applying beta-rule and splitting (347), into two cases.
% 20.07/5.13 |-Branch one:
% 20.07/5.13 | (782) all_0_230_230 = e13
% 20.07/5.13 |
% 20.07/5.13 | Equations (782) can reduce 382 to:
% 20.07/5.13 | (783) ~ (all_0_223_223 = e13)
% 20.07/5.13 |
% 20.07/5.13 | From (782) and (398) follows:
% 20.07/5.13 | (784) op1(e10, e11) = e13
% 20.07/5.13 |
% 20.07/5.13 +-Applying beta-rule and splitting (355), into two cases.
% 20.07/5.13 |-Branch one:
% 20.07/5.13 | (785) all_0_223_223 = e13
% 20.07/5.13 |
% 20.07/5.13 | Equations (785) can reduce 783 to:
% 20.07/5.13 | (508) $false
% 20.07/5.13 |
% 20.07/5.13 |-The branch is then unsatisfiable
% 20.07/5.13 |-Branch two:
% 20.07/5.13 | (783) ~ (all_0_223_223 = e13)
% 20.07/5.13 | (788) all_0_223_223 = e11
% 20.07/5.13 |
% 20.07/5.13 | Equations (788) can reduce 118 to:
% 20.07/5.13 | (789) ~ (all_0_222_222 = e11)
% 20.07/5.13 |
% 20.07/5.13 | Equations (788) can reduce 52 to:
% 20.07/5.13 | (790) ~ (all_0_224_224 = e11)
% 20.07/5.13 |
% 20.07/5.13 | Simplifying 790 yields:
% 20.07/5.13 | (791) ~ (all_0_224_224 = e11)
% 20.07/5.13 |
% 20.07/5.13 | Equations (788) can reduce 783 to:
% 20.07/5.13 | (792) ~ (e13 = e11)
% 20.07/5.13 |
% 20.07/5.13 | Simplifying 792 yields:
% 20.07/5.13 | (40) ~ (e13 = e11)
% 20.07/5.13 |
% 20.07/5.13 | From (788) and (128) follows:
% 20.07/5.13 | (794) op1(e12, e11) = e11
% 20.07/5.13 |
% 20.07/5.13 +-Applying beta-rule and splitting (131), into two cases.
% 20.07/5.13 |-Branch one:
% 20.07/5.13 | (795) all_0_220_220 = e13
% 20.07/5.13 |
% 20.07/5.13 | Equations (795) can reduce 49 to:
% 20.07/5.14 | (796) ~ (all_0_221_221 = e13)
% 20.07/5.14 |
% 20.07/5.14 | Simplifying 796 yields:
% 20.07/5.14 | (797) ~ (all_0_221_221 = e13)
% 20.07/5.14 |
% 20.07/5.14 | Equations (795) can reduce 272 to:
% 20.07/5.14 | (798) ~ (all_0_229_229 = e13)
% 20.07/5.14 |
% 20.07/5.14 | Simplifying 798 yields:
% 20.07/5.14 | (799) ~ (all_0_229_229 = e13)
% 20.07/5.14 |
% 20.07/5.14 +-Applying beta-rule and splitting (180), into two cases.
% 20.07/5.14 |-Branch one:
% 20.07/5.14 | (800) all_0_221_221 = e13
% 20.07/5.14 |
% 20.07/5.14 | Equations (800) can reduce 797 to:
% 20.07/5.14 | (508) $false
% 20.07/5.14 |
% 20.07/5.14 |-The branch is then unsatisfiable
% 20.07/5.14 |-Branch two:
% 20.07/5.14 | (797) ~ (all_0_221_221 = e13)
% 20.07/5.14 | (803) all_0_221_221 = e11
% 20.07/5.14 |
% 20.07/5.14 | Equations (803) can reduce 77 to:
% 20.07/5.14 | (790) ~ (all_0_224_224 = e11)
% 20.07/5.14 |
% 20.07/5.14 | Simplifying 790 yields:
% 20.07/5.14 | (791) ~ (all_0_224_224 = e11)
% 20.07/5.14 |
% 20.07/5.14 | Equations (803) can reduce 214 to:
% 20.07/5.14 | (806) ~ (all_0_227_227 = e11)
% 20.07/5.14 |
% 20.07/5.14 | Simplifying 806 yields:
% 20.07/5.14 | (807) ~ (all_0_227_227 = e11)
% 20.07/5.14 |
% 20.07/5.14 | Equations (803) can reduce 797 to:
% 20.07/5.14 | (792) ~ (e13 = e11)
% 20.07/5.14 |
% 20.07/5.14 | Simplifying 792 yields:
% 20.07/5.14 | (40) ~ (e13 = e11)
% 20.07/5.14 |
% 20.07/5.14 | Equations (803) can reduce 372 to:
% 20.07/5.14 | (810) ~ (e12 = e11)
% 20.07/5.14 |
% 20.07/5.14 | Simplifying 810 yields:
% 20.07/5.14 | (266) ~ (e12 = e11)
% 20.07/5.14 |
% 20.07/5.14 +-Applying beta-rule and splitting (152), into two cases.
% 20.07/5.14 |-Branch one:
% 20.07/5.14 | (812) all_0_226_226 = e12
% 20.07/5.14 |
% 20.07/5.14 | Equations (812) can reduce 362 to:
% 20.07/5.14 | (813) ~ (all_0_227_227 = e12)
% 20.07/5.14 |
% 20.07/5.14 | Simplifying 813 yields:
% 20.07/5.14 | (814) ~ (all_0_227_227 = e12)
% 20.07/5.14 |
% 20.07/5.14 | Equations (812) can reduce 450 to:
% 20.07/5.14 | (815) ~ (all_0_229_229 = e12)
% 20.07/5.14 |
% 20.07/5.14 | Simplifying 815 yields:
% 20.07/5.14 | (816) ~ (all_0_229_229 = e12)
% 20.07/5.14 |
% 20.07/5.14 | From (812) and (335) follows:
% 20.07/5.14 | (817) op1(e11, e12) = e12
% 20.07/5.14 |
% 20.07/5.14 +-Applying beta-rule and splitting (369), into two cases.
% 20.07/5.14 |-Branch one:
% 20.07/5.14 | (818) all_0_228_228 = e12
% 20.07/5.14 |
% 20.07/5.14 | Equations (818) can reduce 104 to:
% 20.07/5.14 | (815) ~ (all_0_229_229 = e12)
% 20.07/5.14 |
% 20.07/5.14 | Simplifying 815 yields:
% 20.07/5.14 | (816) ~ (all_0_229_229 = e12)
% 20.07/5.14 |
% 20.07/5.14 | From (818) and (13) follows:
% 20.07/5.14 | (821) op1(e10, e13) = e12
% 20.07/5.14 |
% 20.07/5.14 +-Applying beta-rule and splitting (89), into two cases.
% 20.07/5.14 |-Branch one:
% 20.07/5.14 | (822) all_0_224_224 = e12
% 20.07/5.14 |
% 20.07/5.14 | Equations (822) can reduce 482 to:
% 20.07/5.14 | (823) ~ (all_0_222_222 = e12)
% 20.07/5.14 |
% 20.07/5.14 | Equations (822) can reduce 791 to:
% 20.07/5.14 | (266) ~ (e12 = e11)
% 20.18/5.14 |
% 20.18/5.14 | From (822) and (322) follows:
% 20.18/5.14 | (825) op1(e12, e10) = e12
% 20.18/5.14 |
% 20.18/5.14 +-Applying beta-rule and splitting (99), into two cases.
% 20.18/5.14 |-Branch one:
% 20.18/5.14 | (826) all_0_222_222 = e13
% 20.18/5.14 |
% 20.18/5.14 | Equations (826) can reduce 346 to:
% 20.18/5.14 | (827) ~ (all_0_225_225 = e13)
% 20.18/5.14 |
% 20.18/5.14 | Simplifying 827 yields:
% 20.18/5.14 | (828) ~ (all_0_225_225 = e13)
% 20.18/5.14 |
% 20.18/5.14 | Equations (826) can reduce 823 to:
% 20.18/5.14 | (112) ~ (e13 = e12)
% 20.18/5.14 |
% 20.18/5.14 | From (826) and (391) follows:
% 20.18/5.14 | (830) op1(e12, e13) = e13
% 20.18/5.14 |
% 20.18/5.14 +-Applying beta-rule and splitting (390), into two cases.
% 20.18/5.14 |-Branch one:
% 20.18/5.14 | (831) all_0_225_225 = e13
% 20.18/5.14 |
% 20.18/5.14 | Equations (831) can reduce 828 to:
% 20.18/5.14 | (508) $false
% 20.18/5.14 |
% 20.18/5.14 |-The branch is then unsatisfiable
% 20.18/5.14 |-Branch two:
% 20.18/5.14 | (828) ~ (all_0_225_225 = e13)
% 20.18/5.14 | (834) all_0_226_226 = e13 | all_0_227_227 = e13
% 20.18/5.14 |
% 20.18/5.14 +-Applying beta-rule and splitting (102), into two cases.
% 20.18/5.14 |-Branch one:
% 20.18/5.14 | (835) all_0_228_228 = e11
% 20.18/5.14 |
% 20.18/5.14 | Combining equations (818,835) yields a new equation:
% 20.18/5.14 | (836) e12 = e11
% 20.18/5.14 |
% 20.18/5.14 | Simplifying 836 yields:
% 20.18/5.14 | (837) e12 = e11
% 20.18/5.14 |
% 20.18/5.14 | Equations (837) can reduce 266 to:
% 20.18/5.14 | (508) $false
% 20.18/5.14 |
% 20.18/5.14 |-The branch is then unsatisfiable
% 20.18/5.14 |-Branch two:
% 20.18/5.14 | (839) ~ (all_0_228_228 = e11)
% 20.18/5.14 | (840) all_0_229_229 = e11 | all_0_230_230 = e11
% 20.18/5.14 |
% 20.18/5.14 | Equations (818) can reduce 839 to:
% 20.18/5.14 | (266) ~ (e12 = e11)
% 20.18/5.14 |
% 20.18/5.14 +-Applying beta-rule and splitting (834), into two cases.
% 20.18/5.14 |-Branch one:
% 20.18/5.14 | (842) all_0_226_226 = e13
% 20.18/5.14 |
% 20.18/5.14 | Combining equations (812,842) yields a new equation:
% 20.18/5.14 | (843) e13 = e12
% 20.18/5.14 |
% 20.18/5.14 | Equations (843) can reduce 112 to:
% 20.18/5.14 | (508) $false
% 20.18/5.14 |
% 20.18/5.14 |-The branch is then unsatisfiable
% 20.18/5.14 |-Branch two:
% 20.18/5.14 | (845) ~ (all_0_226_226 = e13)
% 20.18/5.14 | (846) all_0_227_227 = e13
% 20.18/5.14 |
% 20.18/5.14 | Equations (846) can reduce 294 to:
% 20.18/5.14 | (828) ~ (all_0_225_225 = e13)
% 20.18/5.14 |
% 20.18/5.14 | Equations (846) can reduce 807 to:
% 20.18/5.14 | (40) ~ (e13 = e11)
% 20.18/5.14 |
% 20.18/5.14 +-Applying beta-rule and splitting (342), into two cases.
% 20.18/5.14 |-Branch one:
% 20.18/5.14 | (849) all_0_225_225 = e11
% 20.18/5.14 |
% 20.18/5.15 | Equations (849) can reduce 828 to:
% 20.18/5.15 | (792) ~ (e13 = e11)
% 20.18/5.15 |
% 20.18/5.15 | Simplifying 792 yields:
% 20.18/5.15 | (40) ~ (e13 = e11)
% 20.18/5.15 |
% 20.18/5.15 +-Applying beta-rule and splitting (366), into two cases.
% 20.18/5.15 |-Branch one:
% 20.18/5.15 | (852) all_0_220_220 = e11
% 20.18/5.15 |
% 20.18/5.15 | Combining equations (852,795) yields a new equation:
% 20.18/5.15 | (853) e13 = e11
% 20.18/5.15 |
% 20.18/5.15 | Equations (853) can reduce 40 to:
% 20.18/5.15 | (508) $false
% 20.18/5.15 |
% 20.18/5.15 |-The branch is then unsatisfiable
% 20.18/5.15 |-Branch two:
% 20.18/5.15 | (855) ~ (all_0_220_220 = e11)
% 20.18/5.15 | (856) all_0_226_226 = e11 | all_0_229_229 = e11
% 20.18/5.15 |
% 20.18/5.15 | Equations (795) can reduce 855 to:
% 20.18/5.15 | (40) ~ (e13 = e11)
% 20.18/5.15 |
% 20.18/5.15 +-Applying beta-rule and splitting (840), into two cases.
% 20.18/5.15 |-Branch one:
% 20.18/5.15 | (858) all_0_229_229 = e11
% 20.18/5.15 |
% 20.18/5.15 | Equations (858) can reduce 816 to:
% 20.18/5.15 | (810) ~ (e12 = e11)
% 20.18/5.15 |
% 20.18/5.15 | Simplifying 810 yields:
% 20.18/5.15 | (266) ~ (e12 = e11)
% 20.18/5.15 |
% 20.18/5.15 | Equations (858) can reduce 278 to:
% 20.18/5.15 | (175) ~ (e11 = e10)
% 20.18/5.15 |
% 20.18/5.15 +-Applying beta-rule and splitting (375), into two cases.
% 20.18/5.15 |-Branch one:
% 20.18/5.15 | (862) unit1 = e13
% 20.18/5.15 |
% 20.18/5.15 | From (862) and (53) follows:
% 20.18/5.15 | (863) op1(e13, e11) = e11
% 20.18/5.15 |
% 20.18/5.15 | From (862) and (32) follows:
% 20.18/5.15 | (864) op1(e13, e13) = e13
% 20.18/5.15 |
% 20.18/5.15 | From (862) and (54) follows:
% 20.18/5.15 | (865) op1(e12, e13) = e12
% 20.18/5.15 |
% 20.18/5.15 | Instantiating formula (487) with e13, e13, e13, e10 and discharging atoms op1(e13, e13) = e13, op1(e13, e13) = e10, yields:
% 20.18/5.15 | (866) e13 = e10
% 20.18/5.15 |
% 20.18/5.15 | Instantiating formula (487) with e13, e11, e11, e12 and discharging atoms op1(e13, e11) = e12, op1(e13, e11) = e11, yields:
% 20.18/5.15 | (837) e12 = e11
% 20.18/5.15 |
% 20.18/5.15 | Instantiating formula (487) with e12, e13, e12, e13 and discharging atoms op1(e12, e13) = e13, op1(e12, e13) = e12, yields:
% 20.18/5.15 | (843) e13 = e12
% 20.18/5.15 |
% 20.18/5.15 | Combining equations (866,843) yields a new equation:
% 20.18/5.15 | (869) e12 = e10
% 20.18/5.15 |
% 20.18/5.15 | Combining equations (837,869) yields a new equation:
% 20.18/5.15 | (870) e11 = e10
% 20.18/5.15 |
% 20.18/5.15 | Simplifying 870 yields:
% 20.18/5.15 | (871) e11 = e10
% 20.18/5.15 |
% 20.18/5.15 | Equations (871) can reduce 175 to:
% 20.18/5.15 | (508) $false
% 20.18/5.15 |
% 20.18/5.15 |-The branch is then unsatisfiable
% 20.18/5.15 |-Branch two:
% 20.18/5.15 | (873) ~ (unit1 = e13)
% 20.18/5.15 | (874) unit1 = e12 | unit1 = e11 | unit1 = e10
% 20.18/5.15 |
% 20.18/5.15 +-Applying beta-rule and splitting (874), into two cases.
% 20.18/5.15 |-Branch one:
% 20.18/5.15 | (875) unit1 = e11
% 20.18/5.15 |
% 20.18/5.15 | From (875) and (32) follows:
% 20.18/5.15 | (876) op1(e13, e11) = e13
% 20.18/5.15 |
% 20.18/5.15 | From (875) and (54) follows:
% 20.18/5.15 | (877) op1(e12, e11) = e12
% 20.18/5.15 |
% 20.18/5.15 | From (875) and (145) follows:
% 20.18/5.15 | (878) op1(e10, e11) = e10
% 20.18/5.15 |
% 20.18/5.15 | Instantiating formula (487) with e13, e11, e13, e12 and discharging atoms op1(e13, e11) = e13, op1(e13, e11) = e12, yields:
% 20.18/5.15 | (843) e13 = e12
% 20.18/5.15 |
% 20.18/5.15 | Instantiating formula (487) with e12, e11, e12, e11 and discharging atoms op1(e12, e11) = e12, op1(e12, e11) = e11, yields:
% 20.18/5.15 | (837) e12 = e11
% 20.18/5.15 |
% 20.18/5.15 | Instantiating formula (487) with e10, e11, e10, e13 and discharging atoms op1(e10, e11) = e13, op1(e10, e11) = e10, yields:
% 20.18/5.15 | (866) e13 = e10
% 20.18/5.15 |
% 20.18/5.15 | Combining equations (843,866) yields a new equation:
% 20.18/5.15 | (882) e12 = e10
% 20.18/5.15 |
% 20.18/5.15 | Simplifying 882 yields:
% 20.18/5.15 | (869) e12 = e10
% 20.18/5.15 |
% 20.18/5.15 | Combining equations (869,837) yields a new equation:
% 20.18/5.15 | (871) e11 = e10
% 20.18/5.15 |
% 20.18/5.15 | Equations (871) can reduce 175 to:
% 20.18/5.15 | (508) $false
% 20.18/5.15 |
% 20.18/5.15 |-The branch is then unsatisfiable
% 20.18/5.15 |-Branch two:
% 20.18/5.15 | (886) ~ (unit1 = e11)
% 20.18/5.15 | (887) unit1 = e12 | unit1 = e10
% 20.18/5.15 |
% 20.18/5.15 +-Applying beta-rule and splitting (887), into two cases.
% 20.18/5.15 |-Branch one:
% 20.18/5.15 | (888) unit1 = e12
% 20.18/5.15 |
% 20.18/5.15 | From (888) and (376) follows:
% 20.18/5.15 | (889) op1(e12, e10) = e10
% 20.18/5.15 |
% 20.18/5.15 | From (888) and (2) follows:
% 20.18/5.15 | (890) op1(e11, e12) = e11
% 20.18/5.15 |
% 20.18/5.15 | Instantiating formula (487) with e12, e10, e10, e12 and discharging atoms op1(e12, e10) = e12, op1(e12, e10) = e10, yields:
% 20.18/5.15 | (869) e12 = e10
% 20.18/5.15 |
% 20.18/5.15 | Instantiating formula (487) with e11, e12, e11, e12 and discharging atoms op1(e11, e12) = e12, op1(e11, e12) = e11, yields:
% 20.18/5.15 | (837) e12 = e11
% 20.18/5.15 |
% 20.18/5.15 | Combining equations (869,837) yields a new equation:
% 20.18/5.15 | (871) e11 = e10
% 20.18/5.15 |
% 20.18/5.15 | Equations (871) can reduce 175 to:
% 20.18/5.15 | (508) $false
% 20.18/5.15 |
% 20.18/5.15 |-The branch is then unsatisfiable
% 20.18/5.15 |-Branch two:
% 20.18/5.15 | (895) ~ (unit1 = e12)
% 20.18/5.15 | (896) unit1 = e10
% 20.18/5.15 |
% 20.18/5.15 | From (896) and (74) follows:
% 20.18/5.15 | (897) op1(e10, e13) = e13
% 20.18/5.15 |
% 20.18/5.15 | From (896) and (53) follows:
% 20.18/5.16 | (898) op1(e10, e11) = e11
% 20.18/5.16 |
% 20.18/5.16 | Instantiating formula (487) with e10, e13, e13, e12 and discharging atoms op1(e10, e13) = e13, op1(e10, e13) = e12, yields:
% 20.18/5.16 | (843) e13 = e12
% 20.18/5.16 |
% 20.18/5.16 | Instantiating formula (487) with e10, e11, e11, e13 and discharging atoms op1(e10, e11) = e13, op1(e10, e11) = e11, yields:
% 20.18/5.16 | (853) e13 = e11
% 20.18/5.16 |
% 20.18/5.16 | Combining equations (853,843) yields a new equation:
% 20.18/5.16 | (837) e12 = e11
% 20.18/5.16 |
% 20.18/5.16 | Equations (837) can reduce 266 to:
% 20.18/5.16 | (508) $false
% 20.18/5.16 |
% 20.18/5.16 |-The branch is then unsatisfiable
% 20.18/5.16 |-Branch two:
% 20.18/5.16 | (903) ~ (all_0_229_229 = e11)
% 20.18/5.16 | (904) all_0_230_230 = e11
% 20.18/5.16 |
% 20.18/5.16 | Combining equations (904,782) yields a new equation:
% 20.18/5.16 | (853) e13 = e11
% 20.18/5.16 |
% 20.18/5.16 | Equations (853) can reduce 40 to:
% 20.18/5.16 | (508) $false
% 20.18/5.16 |
% 20.18/5.16 |-The branch is then unsatisfiable
% 20.18/5.16 |-Branch two:
% 20.18/5.16 | (907) ~ (all_0_225_225 = e11)
% 20.18/5.16 | (908) all_0_226_226 = e11 | all_0_227_227 = e11
% 20.18/5.16 |
% 20.18/5.16 +-Applying beta-rule and splitting (366), into two cases.
% 20.18/5.16 |-Branch one:
% 20.18/5.16 | (852) all_0_220_220 = e11
% 20.18/5.16 |
% 20.18/5.16 | Combining equations (852,795) yields a new equation:
% 20.18/5.16 | (853) e13 = e11
% 20.18/5.16 |
% 20.18/5.16 | Equations (853) can reduce 40 to:
% 20.18/5.16 | (508) $false
% 20.18/5.16 |
% 20.18/5.16 |-The branch is then unsatisfiable
% 20.18/5.16 |-Branch two:
% 20.18/5.16 | (855) ~ (all_0_220_220 = e11)
% 20.18/5.16 | (856) all_0_226_226 = e11 | all_0_229_229 = e11
% 20.18/5.16 |
% 20.18/5.16 +-Applying beta-rule and splitting (249), into two cases.
% 20.18/5.16 |-Branch one:
% 20.18/5.16 | (914) all_0_229_229 = e13
% 20.18/5.16 |
% 20.18/5.16 | Equations (914) can reduce 799 to:
% 20.18/5.16 | (508) $false
% 20.18/5.16 |
% 20.18/5.16 |-The branch is then unsatisfiable
% 20.18/5.16 |-Branch two:
% 20.18/5.16 | (799) ~ (all_0_229_229 = e13)
% 20.18/5.16 | (917) all_0_229_229 = e12 | all_0_229_229 = e11
% 20.18/5.16 |
% 20.18/5.16 +-Applying beta-rule and splitting (856), into two cases.
% 20.18/5.16 |-Branch one:
% 20.18/5.16 | (918) all_0_226_226 = e11
% 20.18/5.16 |
% 20.18/5.16 | Combining equations (812,918) yields a new equation:
% 20.18/5.16 | (836) e12 = e11
% 20.18/5.16 |
% 20.18/5.16 | Simplifying 836 yields:
% 20.18/5.16 | (837) e12 = e11
% 20.18/5.16 |
% 20.18/5.16 | Equations (837) can reduce 266 to:
% 20.18/5.16 | (508) $false
% 20.18/5.16 |
% 20.18/5.16 |-The branch is then unsatisfiable
% 20.18/5.16 |-Branch two:
% 20.18/5.16 | (922) ~ (all_0_226_226 = e11)
% 20.18/5.16 | (858) all_0_229_229 = e11
% 20.18/5.16 |
% 20.18/5.16 | Equations (858) can reduce 799 to:
% 20.18/5.16 | (792) ~ (e13 = e11)
% 20.18/5.16 |
% 20.18/5.16 | Simplifying 792 yields:
% 20.18/5.16 | (40) ~ (e13 = e11)
% 20.18/5.16 |
% 20.18/5.16 | Equations (858) can reduce 816 to:
% 20.18/5.16 | (810) ~ (e12 = e11)
% 20.18/5.16 |
% 20.18/5.16 | Simplifying 810 yields:
% 20.18/5.16 | (266) ~ (e12 = e11)
% 20.18/5.16 |
% 20.18/5.16 +-Applying beta-rule and splitting (908), into two cases.
% 20.18/5.16 |-Branch one:
% 20.18/5.16 | (918) all_0_226_226 = e11
% 20.18/5.16 |
% 20.18/5.16 | Combining equations (812,918) yields a new equation:
% 20.18/5.16 | (836) e12 = e11
% 20.18/5.16 |
% 20.18/5.16 | Simplifying 836 yields:
% 20.18/5.16 | (837) e12 = e11
% 20.18/5.16 |
% 20.18/5.16 | Equations (837) can reduce 266 to:
% 20.18/5.16 | (508) $false
% 20.18/5.16 |
% 20.18/5.16 |-The branch is then unsatisfiable
% 20.18/5.16 |-Branch two:
% 20.18/5.16 | (922) ~ (all_0_226_226 = e11)
% 20.18/5.16 | (933) all_0_227_227 = e11
% 20.18/5.16 |
% 20.18/5.16 | Combining equations (846,933) yields a new equation:
% 20.18/5.16 | (934) e13 = e11
% 20.18/5.16 |
% 20.18/5.16 | Simplifying 934 yields:
% 20.18/5.16 | (853) e13 = e11
% 20.18/5.16 |
% 20.18/5.16 | Equations (853) can reduce 40 to:
% 20.18/5.16 | (508) $false
% 20.18/5.16 |
% 20.18/5.16 |-The branch is then unsatisfiable
% 20.18/5.16 |-Branch two:
% 20.18/5.16 | (937) ~ (all_0_222_222 = e13)
% 20.18/5.16 | (938) all_0_223_223 = e13 | all_0_224_224 = e13
% 20.18/5.16 |
% 20.18/5.16 +-Applying beta-rule and splitting (92), into two cases.
% 20.18/5.16 |-Branch one:
% 20.18/5.16 | (826) all_0_222_222 = e13
% 20.18/5.16 |
% 20.18/5.16 | Equations (826) can reduce 937 to:
% 20.18/5.16 | (508) $false
% 20.18/5.16 |
% 20.18/5.16 |-The branch is then unsatisfiable
% 20.18/5.16 |-Branch two:
% 20.18/5.16 | (937) ~ (all_0_222_222 = e13)
% 20.18/5.16 | (942) all_0_222_222 = e12 | all_0_222_222 = e11
% 20.18/5.16 |
% 20.18/5.16 +-Applying beta-rule and splitting (319), into two cases.
% 20.18/5.16 |-Branch one:
% 20.18/5.16 | (943) all_0_222_222 = e11
% 20.18/5.16 |
% 20.18/5.16 | Equations (943) can reduce 789 to:
% 20.18/5.17 | (508) $false
% 20.18/5.17 |
% 20.18/5.17 |-The branch is then unsatisfiable
% 20.18/5.17 |-Branch two:
% 20.18/5.17 | (789) ~ (all_0_222_222 = e11)
% 20.18/5.17 | (946) all_0_225_225 = e11 | all_0_228_228 = e11
% 20.18/5.17 |
% 20.18/5.17 +-Applying beta-rule and splitting (942), into two cases.
% 20.18/5.17 |-Branch one:
% 20.18/5.17 | (943) all_0_222_222 = e11
% 20.18/5.17 |
% 20.18/5.17 | Equations (943) can reduce 789 to:
% 20.18/5.17 | (508) $false
% 20.18/5.17 |
% 20.18/5.17 |-The branch is then unsatisfiable
% 20.18/5.17 |-Branch two:
% 20.18/5.17 | (789) ~ (all_0_222_222 = e11)
% 20.18/5.17 | (950) all_0_222_222 = e12
% 20.18/5.17 |
% 20.18/5.17 | Equations (950) can reduce 823 to:
% 20.18/5.17 | (508) $false
% 20.18/5.17 |
% 20.18/5.17 |-The branch is then unsatisfiable
% 20.18/5.17 |-Branch two:
% 20.18/5.17 | (952) ~ (all_0_224_224 = e12)
% 20.18/5.17 | (953) all_0_227_227 = e12
% 20.18/5.17 |
% 20.18/5.17 | Equations (953) can reduce 814 to:
% 20.18/5.17 | (508) $false
% 20.18/5.17 |
% 20.18/5.17 |-The branch is then unsatisfiable
% 20.18/5.17 |-Branch two:
% 20.18/5.17 | (955) ~ (all_0_228_228 = e12)
% 20.18/5.17 | (956) all_0_229_229 = e12
% 20.18/5.17 |
% 20.18/5.17 | Equations (956) can reduce 816 to:
% 20.18/5.17 | (508) $false
% 20.18/5.17 |
% 20.18/5.17 |-The branch is then unsatisfiable
% 20.18/5.17 |-Branch two:
% 20.18/5.17 | (958) ~ (all_0_226_226 = e12)
% 20.18/5.17 | (956) all_0_229_229 = e12
% 20.18/5.17 |
% 20.18/5.17 | From (956) and (290) follows:
% 20.18/5.17 | (960) op1(e10, e12) = e12
% 20.18/5.17 |
% 20.18/5.17 +-Applying beta-rule and splitting (102), into two cases.
% 20.18/5.17 |-Branch one:
% 20.18/5.17 | (835) all_0_228_228 = e11
% 20.18/5.17 |
% 20.18/5.17 | Equations (835) can reduce 111 to:
% 20.18/5.17 | (789) ~ (all_0_222_222 = e11)
% 20.18/5.17 |
% 20.18/5.17 | Equations (835) can reduce 490 to:
% 20.18/5.17 | (907) ~ (all_0_225_225 = e11)
% 20.18/5.17 |
% 20.18/5.17 +-Applying beta-rule and splitting (342), into two cases.
% 20.18/5.17 |-Branch one:
% 20.18/5.17 | (849) all_0_225_225 = e11
% 20.18/5.17 |
% 20.18/5.17 | Equations (849) can reduce 907 to:
% 20.18/5.17 | (508) $false
% 20.18/5.17 |
% 20.18/5.17 |-The branch is then unsatisfiable
% 20.18/5.17 |-Branch two:
% 20.18/5.17 | (907) ~ (all_0_225_225 = e11)
% 20.18/5.17 | (908) all_0_226_226 = e11 | all_0_227_227 = e11
% 20.18/5.17 |
% 20.18/5.17 +-Applying beta-rule and splitting (908), into two cases.
% 20.18/5.17 |-Branch one:
% 20.18/5.17 | (918) all_0_226_226 = e11
% 20.18/5.17 |
% 20.18/5.17 | Equations (918) can reduce 69 to:
% 20.18/5.17 | (907) ~ (all_0_225_225 = e11)
% 20.18/5.17 |
% 20.18/5.17 | Equations (918) can reduce 362 to:
% 20.18/5.17 | (806) ~ (all_0_227_227 = e11)
% 20.18/5.17 |
% 20.18/5.17 | Simplifying 806 yields:
% 20.18/5.17 | (807) ~ (all_0_227_227 = e11)
% 20.18/5.17 |
% 20.18/5.17 | Equations (918) can reduce 437 to:
% 20.18/5.17 | (175) ~ (e11 = e10)
% 20.18/5.17 |
% 20.18/5.17 | From (918) and (335) follows:
% 20.18/5.17 | (890) op1(e11, e12) = e11
% 20.18/5.17 |
% 20.18/5.17 +-Applying beta-rule and splitting (89), into two cases.
% 20.18/5.17 |-Branch one:
% 20.18/5.17 | (822) all_0_224_224 = e12
% 20.18/5.17 |
% 20.18/5.17 | Equations (822) can reduce 448 to:
% 20.18/5.17 | (813) ~ (all_0_227_227 = e12)
% 20.18/5.17 |
% 20.18/5.17 | Simplifying 813 yields:
% 20.18/5.17 | (814) ~ (all_0_227_227 = e12)
% 20.18/5.17 |
% 20.18/5.17 | Equations (822) can reduce 791 to:
% 20.18/5.17 | (266) ~ (e12 = e11)
% 20.18/5.17 |
% 20.18/5.17 +-Applying beta-rule and splitting (130), into two cases.
% 20.18/5.17 |-Branch one:
% 20.18/5.17 | (978) all_0_225_225 = e12
% 20.18/5.17 |
% 20.18/5.17 | Equations (978) can reduce 346 to:
% 20.18/5.17 | (823) ~ (all_0_222_222 = e12)
% 20.18/5.17 |
% 20.18/5.17 | Equations (978) can reduce 78 to:
% 20.18/5.17 | (203) ~ (e12 = e10)
% 20.18/5.17 |
% 20.18/5.17 | From (978) and (393) follows:
% 20.18/5.17 | (981) op1(e11, e13) = e12
% 20.18/5.17 |
% 20.18/5.17 +-Applying beta-rule and splitting (92), into two cases.
% 20.18/5.17 |-Branch one:
% 20.18/5.17 | (826) all_0_222_222 = e13
% 20.18/5.17 |
% 20.18/5.17 | Equations (826) can reduce 823 to:
% 20.18/5.17 | (112) ~ (e13 = e12)
% 20.18/5.17 |
% 20.18/5.17 | Equations (826) can reduce 789 to:
% 20.18/5.17 | (40) ~ (e13 = e11)
% 20.18/5.17 |
% 20.18/5.17 | From (826) and (391) follows:
% 20.18/5.17 | (830) op1(e12, e13) = e13
% 20.18/5.17 |
% 20.18/5.17 +-Applying beta-rule and splitting (390), into two cases.
% 20.18/5.17 |-Branch one:
% 20.18/5.17 | (831) all_0_225_225 = e13
% 20.18/5.17 |
% 20.18/5.17 | Combining equations (831,978) yields a new equation:
% 20.18/5.17 | (987) e13 = e12
% 20.18/5.17 |
% 20.18/5.17 | Simplifying 987 yields:
% 20.18/5.17 | (843) e13 = e12
% 20.18/5.17 |
% 20.18/5.17 | Equations (843) can reduce 112 to:
% 20.18/5.17 | (508) $false
% 20.18/5.17 |
% 20.18/5.17 |-The branch is then unsatisfiable
% 20.18/5.17 |-Branch two:
% 20.18/5.17 | (828) ~ (all_0_225_225 = e13)
% 20.18/5.17 | (834) all_0_226_226 = e13 | all_0_227_227 = e13
% 20.18/5.17 |
% 20.18/5.17 +-Applying beta-rule and splitting (834), into two cases.
% 20.18/5.17 |-Branch one:
% 20.18/5.17 | (842) all_0_226_226 = e13
% 20.18/5.17 |
% 20.18/5.17 | Combining equations (918,842) yields a new equation:
% 20.18/5.17 | (853) e13 = e11
% 20.18/5.17 |
% 20.18/5.17 | Equations (853) can reduce 40 to:
% 20.18/5.18 | (508) $false
% 20.18/5.18 |
% 20.18/5.18 |-The branch is then unsatisfiable
% 20.18/5.18 |-Branch two:
% 20.18/5.18 | (845) ~ (all_0_226_226 = e13)
% 20.18/5.18 | (846) all_0_227_227 = e13
% 20.18/5.18 |
% 20.18/5.18 | Equations (846) can reduce 807 to:
% 20.18/5.18 | (40) ~ (e13 = e11)
% 20.18/5.18 |
% 20.18/5.18 +-Applying beta-rule and splitting (375), into two cases.
% 20.18/5.18 |-Branch one:
% 20.18/5.18 | (862) unit1 = e13
% 20.18/5.18 |
% 20.18/5.18 | From (862) and (32) follows:
% 20.18/5.18 | (864) op1(e13, e13) = e13
% 20.18/5.18 |
% 20.18/5.18 | From (862) and (54) follows:
% 20.18/5.18 | (865) op1(e12, e13) = e12
% 20.18/5.18 |
% 20.18/5.18 | From (862) and (2) follows:
% 20.18/5.18 | (1001) op1(e11, e13) = e11
% 20.18/5.18 |
% 20.18/5.18 | Instantiating formula (487) with e13, e13, e13, e10 and discharging atoms op1(e13, e13) = e13, op1(e13, e13) = e10, yields:
% 20.18/5.18 | (866) e13 = e10
% 20.18/5.18 |
% 20.18/5.18 | Instantiating formula (487) with e12, e13, e12, e13 and discharging atoms op1(e12, e13) = e13, op1(e12, e13) = e12, yields:
% 20.18/5.18 | (843) e13 = e12
% 20.18/5.18 |
% 20.18/5.18 | Instantiating formula (487) with e11, e13, e11, e12 and discharging atoms op1(e11, e13) = e12, op1(e11, e13) = e11, yields:
% 20.18/5.18 | (837) e12 = e11
% 20.18/5.18 |
% 20.18/5.18 | Combining equations (866,843) yields a new equation:
% 20.18/5.18 | (869) e12 = e10
% 20.18/5.18 |
% 20.18/5.18 | Combining equations (869,837) yields a new equation:
% 20.18/5.18 | (871) e11 = e10
% 20.18/5.18 |
% 20.18/5.18 | Equations (871) can reduce 175 to:
% 20.18/5.18 | (508) $false
% 20.18/5.18 |
% 20.18/5.18 |-The branch is then unsatisfiable
% 20.18/5.18 |-Branch two:
% 20.18/5.18 | (873) ~ (unit1 = e13)
% 20.18/5.18 | (874) unit1 = e12 | unit1 = e11 | unit1 = e10
% 20.18/5.18 |
% 20.18/5.18 +-Applying beta-rule and splitting (874), into two cases.
% 20.18/5.18 |-Branch one:
% 20.18/5.18 | (875) unit1 = e11
% 20.18/5.18 |
% 20.18/5.18 | From (875) and (74) follows:
% 20.18/5.18 | (1011) op1(e11, e13) = e13
% 20.18/5.18 |
% 20.18/5.18 | From (875) and (331) follows:
% 20.18/5.18 | (817) op1(e11, e12) = e12
% 20.18/5.18 |
% 20.18/5.18 | From (875) and (145) follows:
% 20.18/5.18 | (878) op1(e10, e11) = e10
% 20.18/5.18 |
% 20.18/5.18 | Instantiating formula (487) with e11, e13, e13, e12 and discharging atoms op1(e11, e13) = e13, op1(e11, e13) = e12, yields:
% 20.18/5.18 | (843) e13 = e12
% 20.18/5.18 |
% 20.18/5.18 | Instantiating formula (487) with e11, e12, e12, e11 and discharging atoms op1(e11, e12) = e12, op1(e11, e12) = e11, yields:
% 20.18/5.18 | (837) e12 = e11
% 20.18/5.18 |
% 20.18/5.18 | Instantiating formula (487) with e10, e11, e10, e13 and discharging atoms op1(e10, e11) = e13, op1(e10, e11) = e10, yields:
% 20.18/5.18 | (866) e13 = e10
% 20.18/5.18 |
% 20.18/5.18 | Combining equations (843,866) yields a new equation:
% 20.18/5.18 | (882) e12 = e10
% 20.18/5.18 |
% 20.18/5.18 | Simplifying 882 yields:
% 20.18/5.18 | (869) e12 = e10
% 20.18/5.18 |
% 20.18/5.18 | Combining equations (869,837) yields a new equation:
% 20.18/5.18 | (871) e11 = e10
% 20.18/5.18 |
% 20.18/5.18 | Equations (871) can reduce 175 to:
% 20.18/5.18 | (508) $false
% 20.18/5.18 |
% 20.18/5.18 |-The branch is then unsatisfiable
% 20.18/5.18 |-Branch two:
% 20.18/5.18 | (886) ~ (unit1 = e11)
% 20.18/5.18 | (887) unit1 = e12 | unit1 = e10
% 20.18/5.18 |
% 20.18/5.18 +-Applying beta-rule and splitting (887), into two cases.
% 20.18/5.18 |-Branch one:
% 20.18/5.18 | (888) unit1 = e12
% 20.18/5.18 |
% 20.18/5.18 | From (888) and (145) follows:
% 20.18/5.18 | (1024) op1(e10, e12) = e10
% 20.18/5.18 |
% 20.18/5.18 | Instantiating formula (487) with e10, e12, e10, e12 and discharging atoms op1(e10, e12) = e12, op1(e10, e12) = e10, yields:
% 20.18/5.18 | (869) e12 = e10
% 20.18/5.18 |
% 20.18/5.18 | Equations (869) can reduce 203 to:
% 20.18/5.18 | (508) $false
% 20.18/5.18 |
% 20.18/5.18 |-The branch is then unsatisfiable
% 20.18/5.18 |-Branch two:
% 20.18/5.18 | (895) ~ (unit1 = e12)
% 20.18/5.18 | (896) unit1 = e10
% 20.18/5.18 |
% 20.18/5.18 | From (896) and (53) follows:
% 20.18/5.18 | (898) op1(e10, e11) = e11
% 20.18/5.18 |
% 20.18/5.18 | Instantiating formula (487) with e10, e11, e11, e13 and discharging atoms op1(e10, e11) = e13, op1(e10, e11) = e11, yields:
% 20.18/5.18 | (853) e13 = e11
% 20.18/5.18 |
% 20.18/5.18 | Equations (853) can reduce 40 to:
% 20.18/5.18 | (508) $false
% 20.18/5.18 |
% 20.18/5.18 |-The branch is then unsatisfiable
% 20.18/5.18 |-Branch two:
% 20.18/5.18 | (937) ~ (all_0_222_222 = e13)
% 20.18/5.18 | (942) all_0_222_222 = e12 | all_0_222_222 = e11
% 20.18/5.18 |
% 20.18/5.18 +-Applying beta-rule and splitting (942), into two cases.
% 20.18/5.18 |-Branch one:
% 20.18/5.18 | (943) all_0_222_222 = e11
% 20.18/5.18 |
% 20.18/5.18 | Equations (943) can reduce 789 to:
% 20.18/5.18 | (508) $false
% 20.18/5.18 |
% 20.18/5.18 |-The branch is then unsatisfiable
% 20.18/5.18 |-Branch two:
% 20.18/5.18 | (789) ~ (all_0_222_222 = e11)
% 20.18/5.18 | (950) all_0_222_222 = e12
% 20.18/5.18 |
% 20.18/5.18 | Equations (950) can reduce 823 to:
% 20.18/5.18 | (508) $false
% 20.18/5.18 |
% 20.18/5.18 |-The branch is then unsatisfiable
% 20.18/5.18 |-Branch two:
% 20.18/5.18 | (1039) ~ (all_0_225_225 = e12)
% 20.18/5.18 | (1040) all_0_226_226 = e12 | all_0_227_227 = e12
% 20.18/5.18 |
% 20.18/5.18 +-Applying beta-rule and splitting (1040), into two cases.
% 20.18/5.18 |-Branch one:
% 20.18/5.18 | (812) all_0_226_226 = e12
% 20.18/5.18 |
% 20.18/5.19 | Combining equations (918,812) yields a new equation:
% 20.18/5.19 | (837) e12 = e11
% 20.18/5.19 |
% 20.18/5.19 | Equations (837) can reduce 266 to:
% 20.18/5.19 | (508) $false
% 20.18/5.19 |
% 20.18/5.19 |-The branch is then unsatisfiable
% 20.18/5.19 |-Branch two:
% 20.18/5.19 | (958) ~ (all_0_226_226 = e12)
% 20.18/5.19 | (953) all_0_227_227 = e12
% 20.18/5.19 |
% 20.18/5.19 | Equations (953) can reduce 814 to:
% 20.18/5.19 | (508) $false
% 20.18/5.19 |
% 20.18/5.19 |-The branch is then unsatisfiable
% 20.18/5.19 |-Branch two:
% 20.18/5.19 | (952) ~ (all_0_224_224 = e12)
% 20.18/5.19 | (953) all_0_227_227 = e12
% 20.18/5.19 |
% 20.18/5.19 | Equations (953) can reduce 448 to:
% 20.18/5.19 | (952) ~ (all_0_224_224 = e12)
% 20.18/5.19 |
% 20.18/5.19 +-Applying beta-rule and splitting (70), into two cases.
% 20.18/5.19 |-Branch one:
% 20.18/5.19 | (950) all_0_222_222 = e12
% 20.18/5.19 |
% 20.18/5.19 | Equations (950) can reduce 482 to:
% 20.18/5.19 | (1051) ~ (all_0_224_224 = e12)
% 20.18/5.19 |
% 20.18/5.19 | Simplifying 1051 yields:
% 20.18/5.19 | (952) ~ (all_0_224_224 = e12)
% 20.18/5.19 |
% 20.18/5.19 | Equations (950) can reduce 346 to:
% 20.18/5.19 | (1053) ~ (all_0_225_225 = e12)
% 20.18/5.19 |
% 20.18/5.19 | Simplifying 1053 yields:
% 20.18/5.19 | (1039) ~ (all_0_225_225 = e12)
% 20.18/5.19 |
% 20.18/5.19 | Equations (950) can reduce 789 to:
% 20.18/5.19 | (266) ~ (e12 = e11)
% 20.18/5.19 |
% 20.18/5.19 | Equations (950) can reduce 169 to:
% 20.18/5.19 | (203) ~ (e12 = e10)
% 20.18/5.19 |
% 20.18/5.19 | From (950) and (391) follows:
% 20.18/5.19 | (865) op1(e12, e13) = e12
% 20.18/5.19 |
% 20.18/5.19 +-Applying beta-rule and splitting (457), into two cases.
% 20.18/5.19 |-Branch one:
% 20.18/5.19 | (831) all_0_225_225 = e13
% 20.18/5.19 |
% 20.18/5.19 | From (831) and (393) follows:
% 20.18/5.19 | (1011) op1(e11, e13) = e13
% 20.18/5.19 |
% 20.18/5.19 +-Applying beta-rule and splitting (383), into two cases.
% 20.18/5.19 |-Branch one:
% 20.18/5.19 | (1060) all_0_224_224 = e13
% 20.18/5.19 |
% 20.18/5.19 | From (1060) and (322) follows:
% 20.18/5.19 | (1061) op1(e12, e10) = e13
% 20.18/5.19 |
% 20.18/5.19 +-Applying beta-rule and splitting (375), into two cases.
% 20.18/5.19 |-Branch one:
% 20.18/5.19 | (862) unit1 = e13
% 20.18/5.19 |
% 20.18/5.19 | From (862) and (32) follows:
% 20.18/5.19 | (864) op1(e13, e13) = e13
% 20.18/5.19 |
% 20.18/5.19 | From (862) and (2) follows:
% 20.18/5.19 | (1001) op1(e11, e13) = e11
% 20.18/5.19 |
% 20.18/5.19 | Instantiating formula (487) with e13, e13, e13, e10 and discharging atoms op1(e13, e13) = e13, op1(e13, e13) = e10, yields:
% 20.18/5.19 | (866) e13 = e10
% 20.18/5.19 |
% 20.18/5.19 | Instantiating formula (487) with e11, e13, e11, e13 and discharging atoms op1(e11, e13) = e13, op1(e11, e13) = e11, yields:
% 20.18/5.19 | (853) e13 = e11
% 20.18/5.19 |
% 20.18/5.19 | Combining equations (866,853) yields a new equation:
% 20.18/5.19 | (871) e11 = e10
% 20.18/5.19 |
% 20.18/5.19 | Equations (871) can reduce 175 to:
% 20.18/5.19 | (508) $false
% 20.18/5.19 |
% 20.18/5.19 |-The branch is then unsatisfiable
% 20.18/5.19 |-Branch two:
% 20.18/5.19 | (873) ~ (unit1 = e13)
% 20.18/5.19 | (874) unit1 = e12 | unit1 = e11 | unit1 = e10
% 20.18/5.19 |
% 20.18/5.19 +-Applying beta-rule and splitting (874), into two cases.
% 20.18/5.19 |-Branch one:
% 20.18/5.19 | (875) unit1 = e11
% 20.18/5.19 |
% 20.18/5.19 | From (875) and (331) follows:
% 20.18/5.19 | (817) op1(e11, e12) = e12
% 20.18/5.19 |
% 20.18/5.19 | From (875) and (32) follows:
% 20.18/5.19 | (876) op1(e13, e11) = e13
% 20.18/5.19 |
% 20.18/5.19 | From (875) and (145) follows:
% 20.18/5.19 | (878) op1(e10, e11) = e10
% 20.18/5.19 |
% 20.18/5.19 | Instantiating formula (487) with e13, e11, e13, e12 and discharging atoms op1(e13, e11) = e13, op1(e13, e11) = e12, yields:
% 20.18/5.19 | (843) e13 = e12
% 20.18/5.19 |
% 20.18/5.19 | Instantiating formula (487) with e11, e12, e12, e11 and discharging atoms op1(e11, e12) = e12, op1(e11, e12) = e11, yields:
% 20.18/5.19 | (837) e12 = e11
% 20.18/5.19 |
% 20.18/5.19 | Instantiating formula (487) with e10, e11, e10, e13 and discharging atoms op1(e10, e11) = e13, op1(e10, e11) = e10, yields:
% 20.18/5.19 | (866) e13 = e10
% 20.18/5.19 |
% 20.18/5.19 | Combining equations (843,866) yields a new equation:
% 20.18/5.19 | (882) e12 = e10
% 20.18/5.19 |
% 20.18/5.19 | Simplifying 882 yields:
% 20.18/5.19 | (869) e12 = e10
% 20.18/5.19 |
% 20.18/5.19 | Combining equations (869,837) yields a new equation:
% 20.18/5.19 | (871) e11 = e10
% 20.18/5.19 |
% 20.18/5.19 | Equations (871) can reduce 175 to:
% 20.18/5.19 | (508) $false
% 20.18/5.19 |
% 20.18/5.19 |-The branch is then unsatisfiable
% 20.18/5.19 |-Branch two:
% 20.18/5.19 | (886) ~ (unit1 = e11)
% 20.18/5.19 | (887) unit1 = e12 | unit1 = e10
% 20.18/5.19 |
% 20.18/5.19 +-Applying beta-rule and splitting (887), into two cases.
% 20.18/5.19 |-Branch one:
% 20.18/5.19 | (888) unit1 = e12
% 20.18/5.19 |
% 20.18/5.19 | From (888) and (74) follows:
% 20.18/5.19 | (830) op1(e12, e13) = e13
% 20.18/5.19 |
% 20.18/5.19 | From (888) and (376) follows:
% 20.18/5.19 | (889) op1(e12, e10) = e10
% 20.18/5.19 |
% 20.18/5.19 | Instantiating formula (487) with e12, e13, e13, e12 and discharging atoms op1(e12, e13) = e13, op1(e12, e13) = e12, yields:
% 20.18/5.19 | (843) e13 = e12
% 20.18/5.19 |
% 20.18/5.19 | Instantiating formula (487) with e12, e10, e10, e13 and discharging atoms op1(e12, e10) = e13, op1(e12, e10) = e10, yields:
% 20.18/5.20 | (866) e13 = e10
% 20.18/5.20 |
% 20.18/5.20 | Combining equations (843,866) yields a new equation:
% 20.18/5.20 | (882) e12 = e10
% 20.18/5.20 |
% 20.18/5.20 | Simplifying 882 yields:
% 20.18/5.20 | (869) e12 = e10
% 20.18/5.20 |
% 20.18/5.20 | Equations (869) can reduce 203 to:
% 20.18/5.20 | (508) $false
% 20.18/5.20 |
% 20.18/5.20 |-The branch is then unsatisfiable
% 20.18/5.20 |-Branch two:
% 20.18/5.20 | (895) ~ (unit1 = e12)
% 20.18/5.20 | (896) unit1 = e10
% 20.18/5.20 |
% 20.18/5.20 | From (896) and (53) follows:
% 20.18/5.20 | (898) op1(e10, e11) = e11
% 20.18/5.20 |
% 20.18/5.20 | From (896) and (54) follows:
% 20.18/5.20 | (825) op1(e12, e10) = e12
% 20.18/5.20 |
% 20.18/5.20 | Instantiating formula (487) with e12, e10, e12, e13 and discharging atoms op1(e12, e10) = e13, op1(e12, e10) = e12, yields:
% 20.18/5.20 | (843) e13 = e12
% 20.18/5.20 |
% 20.18/5.20 | Instantiating formula (487) with e10, e11, e11, e13 and discharging atoms op1(e10, e11) = e13, op1(e10, e11) = e11, yields:
% 20.18/5.20 | (853) e13 = e11
% 20.18/5.20 |
% 20.18/5.20 | Combining equations (853,843) yields a new equation:
% 20.18/5.20 | (837) e12 = e11
% 20.18/5.20 |
% 20.18/5.20 | Equations (837) can reduce 266 to:
% 20.18/5.20 | (508) $false
% 20.18/5.20 |
% 20.18/5.20 |-The branch is then unsatisfiable
% 20.18/5.20 |-Branch two:
% 20.18/5.20 | (1100) ~ (all_0_224_224 = e13)
% 20.18/5.20 | (1101) all_0_224_224 = e12 | all_0_224_224 = e11
% 20.18/5.20 |
% 20.18/5.20 +-Applying beta-rule and splitting (1101), into two cases.
% 20.18/5.20 |-Branch one:
% 20.18/5.20 | (1102) all_0_224_224 = e11
% 20.18/5.20 |
% 20.18/5.20 | Equations (1102) can reduce 791 to:
% 20.18/5.20 | (508) $false
% 20.18/5.20 |
% 20.18/5.20 |-The branch is then unsatisfiable
% 20.18/5.20 |-Branch two:
% 20.18/5.20 | (791) ~ (all_0_224_224 = e11)
% 20.18/5.20 | (822) all_0_224_224 = e12
% 20.18/5.20 |
% 20.18/5.20 | Equations (822) can reduce 952 to:
% 20.18/5.20 | (508) $false
% 20.18/5.20 |
% 20.18/5.20 |-The branch is then unsatisfiable
% 20.18/5.20 |-Branch two:
% 20.18/5.20 | (828) ~ (all_0_225_225 = e13)
% 20.18/5.20 | (1108) all_0_225_225 = e12 | all_0_225_225 = e11
% 20.18/5.20 |
% 20.18/5.20 +-Applying beta-rule and splitting (1108), into two cases.
% 20.18/5.20 |-Branch one:
% 20.18/5.20 | (849) all_0_225_225 = e11
% 20.18/5.20 |
% 20.18/5.20 | Equations (849) can reduce 907 to:
% 20.18/5.20 | (508) $false
% 20.18/5.20 |
% 20.18/5.20 |-The branch is then unsatisfiable
% 20.18/5.20 |-Branch two:
% 20.18/5.20 | (907) ~ (all_0_225_225 = e11)
% 20.18/5.20 | (978) all_0_225_225 = e12
% 20.18/5.20 |
% 20.18/5.20 | Equations (978) can reduce 1039 to:
% 20.18/5.20 | (508) $false
% 20.18/5.20 |
% 20.18/5.20 |-The branch is then unsatisfiable
% 20.18/5.20 |-Branch two:
% 20.18/5.20 | (823) ~ (all_0_222_222 = e12)
% 20.18/5.20 | (822) all_0_224_224 = e12
% 20.18/5.20 |
% 20.18/5.20 | Equations (822) can reduce 952 to:
% 20.18/5.20 | (508) $false
% 20.18/5.20 |
% 20.18/5.20 |-The branch is then unsatisfiable
% 20.18/5.20 |-Branch two:
% 20.18/5.20 | (922) ~ (all_0_226_226 = e11)
% 20.18/5.20 | (933) all_0_227_227 = e11
% 20.18/5.20 |
% 20.18/5.20 | Equations (933) can reduce 807 to:
% 20.18/5.20 | (508) $false
% 20.18/5.20 |
% 20.18/5.20 |-The branch is then unsatisfiable
% 20.18/5.20 |-Branch two:
% 20.18/5.20 | (839) ~ (all_0_228_228 = e11)
% 20.18/5.20 | (840) all_0_229_229 = e11 | all_0_230_230 = e11
% 20.18/5.20 |
% 20.18/5.20 +-Applying beta-rule and splitting (366), into two cases.
% 20.18/5.20 |-Branch one:
% 20.18/5.20 | (852) all_0_220_220 = e11
% 20.18/5.20 |
% 20.18/5.20 | Combining equations (852,795) yields a new equation:
% 20.18/5.20 | (853) e13 = e11
% 20.18/5.20 |
% 20.18/5.20 | Equations (853) can reduce 40 to:
% 20.18/5.20 | (508) $false
% 20.18/5.20 |
% 20.18/5.20 |-The branch is then unsatisfiable
% 20.18/5.20 |-Branch two:
% 20.18/5.20 | (855) ~ (all_0_220_220 = e11)
% 20.18/5.20 | (856) all_0_226_226 = e11 | all_0_229_229 = e11
% 20.18/5.20 |
% 20.18/5.20 | Equations (795) can reduce 855 to:
% 20.18/5.20 | (40) ~ (e13 = e11)
% 20.18/5.20 |
% 20.18/5.20 +-Applying beta-rule and splitting (840), into two cases.
% 20.18/5.20 |-Branch one:
% 20.18/5.20 | (858) all_0_229_229 = e11
% 20.18/5.20 |
% 20.18/5.20 | Combining equations (858,956) yields a new equation:
% 20.18/5.20 | (837) e12 = e11
% 20.18/5.20 |
% 20.18/5.20 | Equations (837) can reduce 266 to:
% 20.18/5.20 | (508) $false
% 20.18/5.20 |
% 20.18/5.20 |-The branch is then unsatisfiable
% 20.18/5.20 |-Branch two:
% 20.18/5.20 | (903) ~ (all_0_229_229 = e11)
% 20.18/5.20 | (904) all_0_230_230 = e11
% 20.18/5.20 |
% 20.18/5.21 | Combining equations (904,782) yields a new equation:
% 20.18/5.21 | (853) e13 = e11
% 20.18/5.21 |
% 20.18/5.21 | Equations (853) can reduce 40 to:
% 20.18/5.21 | (508) $false
% 20.18/5.21 |
% 20.18/5.21 |-The branch is then unsatisfiable
% 20.18/5.21 |-Branch two:
% 20.18/5.21 | (1135) ~ (all_0_220_220 = e13)
% 20.18/5.21 | (800) all_0_221_221 = e13
% 20.18/5.21 |
% 20.18/5.21 | Equations (800) can reduce 77 to:
% 20.18/5.21 | (1137) ~ (all_0_224_224 = e13)
% 20.18/5.21 |
% 20.18/5.21 | Simplifying 1137 yields:
% 20.18/5.21 | (1100) ~ (all_0_224_224 = e13)
% 20.18/5.21 |
% 20.18/5.21 | Equations (800) can reduce 214 to:
% 20.18/5.21 | (1139) ~ (all_0_227_227 = e13)
% 20.18/5.21 |
% 20.18/5.21 | Simplifying 1139 yields:
% 20.18/5.21 | (1140) ~ (all_0_227_227 = e13)
% 20.18/5.21 |
% 20.18/5.21 | Equations (800) can reduce 372 to:
% 20.18/5.21 | (112) ~ (e13 = e12)
% 20.18/5.21 |
% 20.18/5.21 | From (800) and (453) follows:
% 20.18/5.21 | (1142) op1(e13, e10) = e13
% 20.18/5.21 |
% 20.18/5.21 +-Applying beta-rule and splitting (445), into two cases.
% 20.18/5.21 |-Branch one:
% 20.18/5.21 | (803) all_0_221_221 = e11
% 20.18/5.21 |
% 20.18/5.21 | Combining equations (803,800) yields a new equation:
% 20.18/5.21 | (853) e13 = e11
% 20.18/5.21 |
% 20.18/5.21 | Equations (853) can reduce 40 to:
% 20.18/5.21 | (508) $false
% 20.18/5.21 |
% 20.18/5.21 |-The branch is then unsatisfiable
% 20.18/5.21 |-Branch two:
% 20.18/5.21 | (1146) ~ (all_0_221_221 = e11)
% 20.18/5.21 | (1147) all_0_224_224 = e11 | all_0_227_227 = e11
% 20.18/5.21 |
% 20.18/5.21 +-Applying beta-rule and splitting (1147), into two cases.
% 20.18/5.21 |-Branch one:
% 20.18/5.21 | (1102) all_0_224_224 = e11
% 20.18/5.21 |
% 20.18/5.21 | Equations (1102) can reduce 791 to:
% 20.18/5.21 | (508) $false
% 20.18/5.21 |
% 20.18/5.21 |-The branch is then unsatisfiable
% 20.18/5.21 |-Branch two:
% 20.18/5.21 | (791) ~ (all_0_224_224 = e11)
% 20.18/5.21 | (933) all_0_227_227 = e11
% 20.18/5.21 |
% 20.18/5.21 | Equations (933) can reduce 294 to:
% 20.18/5.21 | (907) ~ (all_0_225_225 = e11)
% 20.18/5.21 |
% 20.18/5.21 | Equations (933) can reduce 1140 to:
% 20.18/5.21 | (792) ~ (e13 = e11)
% 20.18/5.21 |
% 20.18/5.21 | Simplifying 792 yields:
% 20.18/5.21 | (40) ~ (e13 = e11)
% 20.18/5.21 |
% 20.18/5.21 +-Applying beta-rule and splitting (99), into two cases.
% 20.18/5.21 |-Branch one:
% 20.18/5.21 | (826) all_0_222_222 = e13
% 20.18/5.21 |
% 20.18/5.21 | Equations (826) can reduce 346 to:
% 20.18/5.21 | (827) ~ (all_0_225_225 = e13)
% 20.18/5.21 |
% 20.18/5.21 | Simplifying 827 yields:
% 20.18/5.21 | (828) ~ (all_0_225_225 = e13)
% 20.18/5.21 |
% 20.18/5.21 | Equations (826) can reduce 111 to:
% 20.18/5.21 | (1158) ~ (all_0_228_228 = e13)
% 20.18/5.21 |
% 20.18/5.21 | Simplifying 1158 yields:
% 20.18/5.21 | (1159) ~ (all_0_228_228 = e13)
% 20.18/5.21 |
% 20.18/5.21 | Equations (826) can reduce 789 to:
% 20.18/5.21 | (40) ~ (e13 = e11)
% 20.18/5.21 |
% 20.18/5.21 | From (826) and (391) follows:
% 20.18/5.21 | (830) op1(e12, e13) = e13
% 20.18/5.21 |
% 20.18/5.21 +-Applying beta-rule and splitting (390), into two cases.
% 20.18/5.21 |-Branch one:
% 20.18/5.21 | (831) all_0_225_225 = e13
% 20.18/5.21 |
% 20.18/5.21 | Equations (831) can reduce 828 to:
% 20.18/5.21 | (508) $false
% 20.18/5.21 |
% 20.18/5.21 |-The branch is then unsatisfiable
% 20.18/5.21 |-Branch two:
% 20.18/5.21 | (828) ~ (all_0_225_225 = e13)
% 20.18/5.21 | (834) all_0_226_226 = e13 | all_0_227_227 = e13
% 20.18/5.21 |
% 20.18/5.21 +-Applying beta-rule and splitting (834), into two cases.
% 20.18/5.21 |-Branch one:
% 20.18/5.21 | (842) all_0_226_226 = e13
% 20.18/5.21 |
% 20.18/5.21 | Equations (842) can reduce 282 to:
% 20.18/5.21 | (1135) ~ (all_0_220_220 = e13)
% 20.18/5.21 |
% 20.18/5.21 | Equations (842) can reduce 69 to:
% 20.18/5.21 | (828) ~ (all_0_225_225 = e13)
% 20.18/5.21 |
% 20.18/5.21 | From (842) and (335) follows:
% 20.18/5.21 | (1169) op1(e11, e12) = e13
% 20.18/5.21 |
% 20.18/5.21 +-Applying beta-rule and splitting (212), into two cases.
% 20.18/5.21 |-Branch one:
% 20.18/5.21 | (795) all_0_220_220 = e13
% 20.18/5.21 |
% 20.18/5.21 | Equations (795) can reduce 1135 to:
% 20.18/5.21 | (508) $false
% 20.18/5.21 |
% 20.18/5.21 |-The branch is then unsatisfiable
% 20.18/5.21 |-Branch two:
% 20.18/5.21 | (1135) ~ (all_0_220_220 = e13)
% 20.18/5.21 | (852) all_0_220_220 = e11
% 20.18/5.21 |
% 20.18/5.21 | Equations (852) can reduce 1135 to:
% 20.18/5.21 | (792) ~ (e13 = e11)
% 20.18/5.21 |
% 20.18/5.21 | Simplifying 792 yields:
% 20.18/5.21 | (40) ~ (e13 = e11)
% 20.18/5.21 |
% 20.18/5.21 +-Applying beta-rule and splitting (152), into two cases.
% 20.18/5.21 |-Branch one:
% 20.18/5.21 | (812) all_0_226_226 = e12
% 20.18/5.21 |
% 20.18/5.21 | Combining equations (812,842) yields a new equation:
% 20.18/5.21 | (843) e13 = e12
% 20.18/5.21 |
% 20.18/5.21 | Equations (843) can reduce 112 to:
% 20.18/5.21 | (508) $false
% 20.18/5.21 |
% 20.18/5.21 |-The branch is then unsatisfiable
% 20.18/5.21 |-Branch two:
% 20.18/5.21 | (958) ~ (all_0_226_226 = e12)
% 20.18/5.21 | (956) all_0_229_229 = e12
% 20.18/5.21 |
% 20.18/5.21 | From (956) and (290) follows:
% 20.18/5.22 | (960) op1(e10, e12) = e12
% 20.18/5.22 |
% 20.18/5.22 +-Applying beta-rule and splitting (457), into two cases.
% 20.18/5.22 |-Branch one:
% 20.18/5.22 | (831) all_0_225_225 = e13
% 20.18/5.22 |
% 20.18/5.22 | Equations (831) can reduce 828 to:
% 20.18/5.22 | (508) $false
% 20.18/5.22 |
% 20.18/5.22 |-The branch is then unsatisfiable
% 20.18/5.22 |-Branch two:
% 20.18/5.22 | (828) ~ (all_0_225_225 = e13)
% 20.18/5.22 | (1108) all_0_225_225 = e12 | all_0_225_225 = e11
% 20.18/5.22 |
% 20.18/5.22 +-Applying beta-rule and splitting (319), into two cases.
% 20.18/5.22 |-Branch one:
% 20.18/5.22 | (943) all_0_222_222 = e11
% 20.18/5.22 |
% 20.18/5.22 | Combining equations (826,943) yields a new equation:
% 20.18/5.22 | (934) e13 = e11
% 20.18/5.22 |
% 20.18/5.22 | Simplifying 934 yields:
% 20.18/5.22 | (853) e13 = e11
% 20.18/5.22 |
% 20.18/5.22 | Equations (853) can reduce 40 to:
% 20.18/5.22 | (508) $false
% 20.18/5.22 |
% 20.18/5.22 |-The branch is then unsatisfiable
% 20.18/5.22 |-Branch two:
% 20.18/5.22 | (789) ~ (all_0_222_222 = e11)
% 20.18/5.22 | (946) all_0_225_225 = e11 | all_0_228_228 = e11
% 20.18/5.22 |
% 20.18/5.22 +-Applying beta-rule and splitting (1108), into two cases.
% 20.18/5.22 |-Branch one:
% 20.18/5.22 | (849) all_0_225_225 = e11
% 20.18/5.22 |
% 20.18/5.22 | Equations (849) can reduce 907 to:
% 20.18/5.22 | (508) $false
% 20.18/5.22 |
% 20.18/5.22 |-The branch is then unsatisfiable
% 20.18/5.22 |-Branch two:
% 20.18/5.22 | (907) ~ (all_0_225_225 = e11)
% 20.18/5.22 | (978) all_0_225_225 = e12
% 20.18/5.22 |
% 20.18/5.22 | Equations (978) can reduce 907 to:
% 20.18/5.22 | (266) ~ (e12 = e11)
% 20.18/5.22 |
% 20.18/5.22 | Equations (978) can reduce 78 to:
% 20.18/5.22 | (203) ~ (e12 = e10)
% 20.18/5.22 |
% 20.18/5.22 | From (978) and (393) follows:
% 20.18/5.22 | (981) op1(e11, e13) = e12
% 20.18/5.22 |
% 20.18/5.22 +-Applying beta-rule and splitting (946), into two cases.
% 20.18/5.22 |-Branch one:
% 20.18/5.22 | (849) all_0_225_225 = e11
% 20.18/5.22 |
% 20.18/5.22 | Combining equations (978,849) yields a new equation:
% 20.18/5.22 | (836) e12 = e11
% 20.18/5.22 |
% 20.18/5.22 | Simplifying 836 yields:
% 20.18/5.22 | (837) e12 = e11
% 20.18/5.22 |
% 20.18/5.22 | Equations (837) can reduce 266 to:
% 20.18/5.22 | (508) $false
% 20.18/5.22 |
% 20.18/5.22 |-The branch is then unsatisfiable
% 20.18/5.22 |-Branch two:
% 20.18/5.22 | (907) ~ (all_0_225_225 = e11)
% 20.18/5.22 | (835) all_0_228_228 = e11
% 20.18/5.22 |
% 20.18/5.22 | Equations (835) can reduce 1159 to:
% 20.18/5.22 | (792) ~ (e13 = e11)
% 20.18/5.22 |
% 20.18/5.22 | Simplifying 792 yields:
% 20.18/5.22 | (40) ~ (e13 = e11)
% 20.18/5.22 |
% 20.18/5.22 | Equations (835) can reduce 24 to:
% 20.18/5.22 | (175) ~ (e11 = e10)
% 20.18/5.22 |
% 20.18/5.22 +-Applying beta-rule and splitting (375), into two cases.
% 20.18/5.22 |-Branch one:
% 20.18/5.22 | (862) unit1 = e13
% 20.18/5.22 |
% 20.18/5.22 | From (862) and (376) follows:
% 20.18/5.22 | (1209) op1(e13, e10) = e10
% 20.18/5.22 |
% 20.18/5.22 | From (862) and (54) follows:
% 20.18/5.22 | (865) op1(e12, e13) = e12
% 20.18/5.22 |
% 20.18/5.22 | From (862) and (2) follows:
% 20.18/5.22 | (1001) op1(e11, e13) = e11
% 20.18/5.22 |
% 20.18/5.22 | Instantiating formula (487) with e13, e10, e10, e13 and discharging atoms op1(e13, e10) = e13, op1(e13, e10) = e10, yields:
% 20.18/5.22 | (866) e13 = e10
% 20.18/5.22 |
% 20.18/5.22 | Instantiating formula (487) with e12, e13, e12, e13 and discharging atoms op1(e12, e13) = e13, op1(e12, e13) = e12, yields:
% 20.18/5.22 | (843) e13 = e12
% 20.18/5.22 |
% 20.18/5.22 | Instantiating formula (487) with e11, e13, e11, e12 and discharging atoms op1(e11, e13) = e12, op1(e11, e13) = e11, yields:
% 20.18/5.22 | (837) e12 = e11
% 20.18/5.22 |
% 20.18/5.22 | Combining equations (843,866) yields a new equation:
% 20.18/5.22 | (882) e12 = e10
% 20.18/5.22 |
% 20.18/5.22 | Simplifying 882 yields:
% 20.18/5.22 | (869) e12 = e10
% 20.18/5.22 |
% 20.18/5.22 | Combining equations (869,837) yields a new equation:
% 20.18/5.22 | (871) e11 = e10
% 20.18/5.22 |
% 20.18/5.22 | Equations (871) can reduce 175 to:
% 20.18/5.22 | (508) $false
% 20.18/5.22 |
% 20.18/5.22 |-The branch is then unsatisfiable
% 20.18/5.22 |-Branch two:
% 20.18/5.22 | (873) ~ (unit1 = e13)
% 20.18/5.22 | (874) unit1 = e12 | unit1 = e11 | unit1 = e10
% 20.18/5.22 |
% 20.18/5.22 +-Applying beta-rule and splitting (874), into two cases.
% 20.18/5.22 |-Branch one:
% 20.18/5.22 | (875) unit1 = e11
% 20.18/5.22 |
% 20.18/5.22 | From (875) and (331) follows:
% 20.18/5.22 | (817) op1(e11, e12) = e12
% 20.18/5.22 |
% 20.18/5.22 | From (875) and (54) follows:
% 20.18/5.22 | (877) op1(e12, e11) = e12
% 20.18/5.22 |
% 20.18/5.22 | From (875) and (145) follows:
% 20.18/5.22 | (878) op1(e10, e11) = e10
% 20.18/5.22 |
% 20.18/5.22 | Instantiating formula (487) with e12, e11, e12, e11 and discharging atoms op1(e12, e11) = e12, op1(e12, e11) = e11, yields:
% 20.18/5.22 | (837) e12 = e11
% 20.18/5.22 |
% 20.18/5.22 | Instantiating formula (487) with e11, e12, e12, e13 and discharging atoms op1(e11, e12) = e13, op1(e11, e12) = e12, yields:
% 20.18/5.22 | (843) e13 = e12
% 20.18/5.22 |
% 20.18/5.22 | Instantiating formula (487) with e10, e11, e10, e13 and discharging atoms op1(e10, e11) = e13, op1(e10, e11) = e10, yields:
% 20.18/5.22 | (866) e13 = e10
% 20.18/5.22 |
% 20.18/5.22 | Combining equations (843,866) yields a new equation:
% 20.18/5.22 | (882) e12 = e10
% 20.18/5.22 |
% 20.18/5.22 | Simplifying 882 yields:
% 20.18/5.22 | (869) e12 = e10
% 20.18/5.22 |
% 20.18/5.22 | Combining equations (869,837) yields a new equation:
% 20.55/5.22 | (871) e11 = e10
% 20.55/5.22 |
% 20.55/5.22 | Equations (871) can reduce 175 to:
% 20.55/5.22 | (508) $false
% 20.55/5.23 |
% 20.55/5.23 |-The branch is then unsatisfiable
% 20.55/5.23 |-Branch two:
% 20.55/5.23 | (886) ~ (unit1 = e11)
% 20.55/5.23 | (887) unit1 = e12 | unit1 = e10
% 20.55/5.23 |
% 20.55/5.23 +-Applying beta-rule and splitting (887), into two cases.
% 20.55/5.23 |-Branch one:
% 20.55/5.23 | (888) unit1 = e12
% 20.55/5.23 |
% 20.55/5.23 | From (888) and (145) follows:
% 20.55/5.23 | (1024) op1(e10, e12) = e10
% 20.55/5.23 |
% 20.55/5.23 | Instantiating formula (487) with e10, e12, e10, e12 and discharging atoms op1(e10, e12) = e12, op1(e10, e12) = e10, yields:
% 20.55/5.23 | (869) e12 = e10
% 20.55/5.23 |
% 20.55/5.23 | Equations (869) can reduce 203 to:
% 20.55/5.23 | (508) $false
% 20.55/5.23 |
% 20.55/5.23 |-The branch is then unsatisfiable
% 20.55/5.23 |-Branch two:
% 20.55/5.23 | (895) ~ (unit1 = e12)
% 20.55/5.23 | (896) unit1 = e10
% 20.55/5.23 |
% 20.55/5.23 | From (896) and (53) follows:
% 20.55/5.23 | (898) op1(e10, e11) = e11
% 20.55/5.23 |
% 20.55/5.23 | Instantiating formula (487) with e10, e11, e11, e13 and discharging atoms op1(e10, e11) = e13, op1(e10, e11) = e11, yields:
% 20.55/5.23 | (853) e13 = e11
% 20.55/5.23 |
% 20.55/5.23 | Equations (853) can reduce 40 to:
% 20.55/5.23 | (508) $false
% 20.55/5.23 |
% 20.55/5.23 |-The branch is then unsatisfiable
% 20.55/5.23 |-Branch two:
% 20.55/5.23 | (845) ~ (all_0_226_226 = e13)
% 20.55/5.23 | (846) all_0_227_227 = e13
% 20.55/5.23 |
% 20.55/5.23 | Combining equations (846,933) yields a new equation:
% 20.55/5.23 | (934) e13 = e11
% 20.55/5.23 |
% 20.55/5.23 | Simplifying 934 yields:
% 20.55/5.23 | (853) e13 = e11
% 20.55/5.23 |
% 20.55/5.23 | Equations (853) can reduce 40 to:
% 20.55/5.23 | (508) $false
% 20.55/5.23 |
% 20.55/5.23 |-The branch is then unsatisfiable
% 20.55/5.23 |-Branch two:
% 20.55/5.23 | (937) ~ (all_0_222_222 = e13)
% 20.55/5.23 | (938) all_0_223_223 = e13 | all_0_224_224 = e13
% 20.55/5.23 |
% 20.55/5.23 +-Applying beta-rule and splitting (938), into two cases.
% 20.55/5.23 |-Branch one:
% 20.55/5.23 | (785) all_0_223_223 = e13
% 20.55/5.23 |
% 20.55/5.23 | Combining equations (788,785) yields a new equation:
% 20.55/5.23 | (853) e13 = e11
% 20.55/5.23 |
% 20.55/5.23 | Equations (853) can reduce 40 to:
% 20.55/5.23 | (508) $false
% 20.55/5.23 |
% 20.55/5.23 |-The branch is then unsatisfiable
% 20.55/5.23 |-Branch two:
% 20.55/5.23 | (783) ~ (all_0_223_223 = e13)
% 20.55/5.23 | (1060) all_0_224_224 = e13
% 20.55/5.23 |
% 20.55/5.23 | Equations (1060) can reduce 1100 to:
% 20.55/5.23 | (508) $false
% 20.55/5.23 |
% 20.55/5.23 |-The branch is then unsatisfiable
% 20.55/5.23 |-Branch two:
% 20.55/5.23 | (1256) ~ (all_0_230_230 = e13)
% 20.55/5.23 | (904) all_0_230_230 = e11
% 20.55/5.23 |
% 20.55/5.23 | Equations (904) can reduce 382 to:
% 20.55/5.23 | (1258) ~ (all_0_223_223 = e11)
% 20.55/5.23 |
% 20.55/5.23 | Equations (904) can reduce 140 to:
% 20.55/5.23 | (839) ~ (all_0_228_228 = e11)
% 20.55/5.23 |
% 20.55/5.23 | Equations (904) can reduce 174 to:
% 20.55/5.23 | (903) ~ (all_0_229_229 = e11)
% 20.55/5.23 |
% 20.55/5.23 | From (904) and (398) follows:
% 20.55/5.23 | (898) op1(e10, e11) = e11
% 20.55/5.23 |
% 20.55/5.23 | From (904) and (280) follows:
% 20.55/5.23 | (1262) h6(e11) = all_0_118_118
% 20.55/5.23 |
% 20.55/5.23 +-Applying beta-rule and splitting (355), into two cases.
% 20.55/5.23 |-Branch one:
% 20.55/5.23 | (785) all_0_223_223 = e13
% 20.55/5.23 |
% 20.55/5.23 | Equations (785) can reduce 118 to:
% 20.55/5.23 | (937) ~ (all_0_222_222 = e13)
% 20.55/5.23 |
% 20.55/5.23 | Equations (785) can reduce 52 to:
% 20.55/5.23 | (1137) ~ (all_0_224_224 = e13)
% 20.55/5.23 |
% 20.55/5.23 | Simplifying 1137 yields:
% 20.55/5.23 | (1100) ~ (all_0_224_224 = e13)
% 20.55/5.23 |
% 20.55/5.23 | Equations (785) can reduce 1258 to:
% 20.55/5.23 | (40) ~ (e13 = e11)
% 20.55/5.23 |
% 20.55/5.23 | From (785) and (164) follows:
% 20.55/5.23 | (1268) h6(e13) = all_0_111_111
% 20.55/5.23 |
% 20.55/5.23 | Instantiating formula (268) with e13, all_0_111_111, e23 and discharging atoms h6(e13) = all_0_111_111, h6(e13) = e23, yields:
% 20.55/5.24 | (1269) all_0_111_111 = e23
% 20.55/5.24 |
% 20.55/5.24 | Instantiating formula (268) with e11, all_0_118_118, e21 and discharging atoms h6(e11) = all_0_118_118, h6(e11) = e21, yields:
% 20.55/5.24 | (1270) all_0_118_118 = e21
% 20.55/5.24 |
% 20.55/5.24 | From (1269) and (1268) follows:
% 20.55/5.24 | (260) h6(e13) = e23
% 20.55/5.24 |
% 20.55/5.24 | From (1270) and (1262) follows:
% 20.55/5.24 | (484) h6(e11) = e21
% 20.55/5.24 |
% 20.55/5.24 +-Applying beta-rule and splitting (313), into two cases.
% 20.55/5.24 |-Branch one:
% 20.55/5.24 | (543) all_0_212_212 = e23
% 20.55/5.24 |
% 20.55/5.24 | Equations (543) can reduce 304 to:
% 20.55/5.24 | (544) ~ (all_0_219_219 = e23)
% 20.55/5.24 |
% 20.55/5.24 | Simplifying 544 yields:
% 20.55/5.24 | (545) ~ (all_0_219_219 = e23)
% 20.55/5.24 |
% 20.55/5.24 | Equations (543) can reduce 222 to:
% 20.55/5.24 | (136) ~ (e23 = e22)
% 20.55/5.24 |
% 20.55/5.24 | From (543) and (404) follows:
% 20.55/5.24 | (1277) op2(e23, e22) = all_0_122_122
% 20.55/5.24 |
% 20.55/5.24 | From (543) and (343) follows:
% 20.55/5.24 | (1278) op2(e21, e23) = all_0_130_130
% 20.55/5.24 |
% 20.55/5.24 | From (543) and (353) follows:
% 20.55/5.24 | (549) op2(e20, e23) = all_0_134_134
% 20.55/5.24 |
% 20.55/5.24 +-Applying beta-rule and splitting (356), into two cases.
% 20.55/5.24 |-Branch one:
% 20.55/5.24 | (539) all_0_211_211 = e21
% 20.55/5.24 |
% 20.55/5.24 | Equations (539) can reduce 397 to:
% 20.55/5.24 | (1281) ~ (all_0_217_217 = e21)
% 20.55/5.24 |
% 20.55/5.24 | Simplifying 1281 yields:
% 20.55/5.24 | (1282) ~ (all_0_217_217 = e21)
% 20.55/5.24 |
% 20.55/5.24 | Equations (539) can reduce 502 to:
% 20.55/5.24 | (655) ~ (e22 = e21)
% 20.55/5.24 |
% 20.55/5.24 | Simplifying 655 yields:
% 20.55/5.24 | (37) ~ (e22 = e21)
% 20.55/5.24 |
% 20.55/5.24 | From (539) and (5) follows:
% 20.55/5.24 | (1285) op2(e21, e23) = all_0_6_6
% 20.55/5.24 |
% 20.55/5.24 | From (539) and (284) follows:
% 20.55/5.24 | (1286) op2(e21, e22) = all_0_3_3
% 20.55/5.24 |
% 20.55/5.24 | From (539) and (232) follows:
% 20.55/5.24 | (1287) op2(e21, e20) = all_0_8_8
% 20.55/5.24 |
% 20.55/5.24 +-Applying beta-rule and splitting (352), into two cases.
% 20.55/5.24 |-Branch one:
% 20.55/5.24 | (1288) all_0_217_217 = e21
% 20.55/5.24 |
% 20.55/5.24 | Equations (1288) can reduce 1282 to:
% 20.55/5.24 | (508) $false
% 20.55/5.24 |
% 20.55/5.24 |-The branch is then unsatisfiable
% 20.55/5.24 |-Branch two:
% 20.55/5.24 | (1282) ~ (all_0_217_217 = e21)
% 20.55/5.24 | (1291) all_0_218_218 = e21 | all_0_219_219 = e21
% 20.55/5.24 |
% 20.55/5.24 +-Applying beta-rule and splitting (1291), into two cases.
% 20.55/5.24 |-Branch one:
% 20.55/5.24 | (645) all_0_218_218 = e21
% 20.55/5.24 |
% 20.55/5.24 | Combining equations (645,739) yields a new equation:
% 20.55/5.24 | (584) e22 = e21
% 20.55/5.24 |
% 20.55/5.24 | Equations (584) can reduce 37 to:
% 20.55/5.24 | (508) $false
% 20.55/5.24 |
% 20.55/5.24 |-The branch is then unsatisfiable
% 20.55/5.24 |-Branch two:
% 20.55/5.24 | (738) ~ (all_0_218_218 = e21)
% 20.55/5.24 | (565) all_0_219_219 = e21
% 20.55/5.24 |
% 20.55/5.24 | Equations (565) can reduce 368 to:
% 20.55/5.24 | (1282) ~ (all_0_217_217 = e21)
% 20.55/5.24 |
% 20.55/5.24 | Equations (565) can reduce 545 to:
% 20.55/5.24 | (566) ~ (e23 = e21)
% 20.55/5.24 |
% 20.55/5.24 | Simplifying 566 yields:
% 20.55/5.24 | (386) ~ (e23 = e21)
% 20.55/5.24 |
% 20.55/5.24 +-Applying beta-rule and splitting (329), into two cases.
% 20.55/5.24 |-Branch one:
% 20.55/5.24 | (550) all_0_217_217 = e23
% 20.55/5.24 |
% 20.55/5.24 | Equations (550) can reduce 1282 to:
% 20.55/5.24 | (386) ~ (e23 = e21)
% 20.55/5.24 |
% 20.55/5.24 | From (550) and (480) follows:
% 20.55/5.24 | (675) op2(e20, e23) = e23
% 20.55/5.24 |
% 20.55/5.24 | Instantiating formula (148) with e23, e22, all_0_122_122, all_0_209_209 and discharging atoms op2(e23, e22) = all_0_122_122, op2(e23, e22) = all_0_209_209, yields:
% 20.55/5.24 | (1303) all_0_122_122 = all_0_209_209
% 20.55/5.24 |
% 20.55/5.24 | Instantiating formula (148) with e21, e23, all_0_6_6, e22 and discharging atoms op2(e21, e23) = all_0_6_6, op2(e21, e23) = e22, yields:
% 20.55/5.24 | (1304) all_0_6_6 = e22
% 20.55/5.24 |
% 20.55/5.24 | Instantiating formula (148) with e21, e23, all_0_130_130, all_0_6_6 and discharging atoms op2(e21, e23) = all_0_6_6, op2(e21, e23) = all_0_130_130, yields:
% 20.55/5.24 | (1305) all_0_6_6 = all_0_130_130
% 20.55/5.24 |
% 20.55/5.24 | Instantiating formula (148) with e21, e22, all_0_3_3, all_0_215_215 and discharging atoms op2(e21, e22) = all_0_3_3, op2(e21, e22) = all_0_215_215, yields:
% 20.55/5.24 | (1306) all_0_3_3 = all_0_215_215
% 20.55/5.24 |
% 20.55/5.24 | Instantiating formula (148) with e21, e20, all_0_8_8, all_0_216_216 and discharging atoms op2(e21, e20) = all_0_8_8, op2(e21, e20) = all_0_216_216, yields:
% 20.55/5.24 | (1307) all_0_8_8 = all_0_216_216
% 20.55/5.24 |
% 20.55/5.24 | Instantiating formula (148) with e20, e23, e23, all_0_134_134 and discharging atoms op2(e20, e23) = all_0_134_134, op2(e20, e23) = e23, yields:
% 20.55/5.24 | (670) all_0_134_134 = e23
% 20.55/5.24 |
% 20.55/5.24 | Combining equations (1305,1304) yields a new equation:
% 20.55/5.24 | (1309) all_0_130_130 = e22
% 20.55/5.24 |
% 20.55/5.24 | Simplifying 1309 yields:
% 20.55/5.24 | (1310) all_0_130_130 = e22
% 20.55/5.24 |
% 20.55/5.24 | From (1303) and (1277) follows:
% 20.55/5.24 | (114) op2(e23, e22) = all_0_209_209
% 20.55/5.24 |
% 20.55/5.24 | From (1310) and (1278) follows:
% 20.55/5.24 | (770) op2(e21, e23) = e22
% 20.55/5.24 |
% 20.55/5.24 | From (1306) and (1286) follows:
% 20.55/5.24 | (323) op2(e21, e22) = all_0_215_215
% 20.55/5.24 |
% 20.55/5.24 | From (1307) and (1287) follows:
% 20.55/5.24 | (176) op2(e21, e20) = all_0_216_216
% 20.55/5.24 |
% 20.55/5.24 | From (670) and (549) follows:
% 20.55/5.24 | (675) op2(e20, e23) = e23
% 20.55/5.25 |
% 20.55/5.25 +-Applying beta-rule and splitting (131), into two cases.
% 20.55/5.25 |-Branch one:
% 20.55/5.25 | (795) all_0_220_220 = e13
% 20.55/5.25 |
% 20.55/5.25 | Equations (795) can reduce 49 to:
% 20.55/5.25 | (796) ~ (all_0_221_221 = e13)
% 20.55/5.25 |
% 20.55/5.25 | Simplifying 796 yields:
% 20.55/5.25 | (797) ~ (all_0_221_221 = e13)
% 20.55/5.25 |
% 20.55/5.25 | Equations (795) can reduce 272 to:
% 20.55/5.25 | (798) ~ (all_0_229_229 = e13)
% 20.55/5.25 |
% 20.55/5.25 | Simplifying 798 yields:
% 20.55/5.25 | (799) ~ (all_0_229_229 = e13)
% 20.55/5.25 |
% 20.55/5.25 | From (795) and (289) follows:
% 20.55/5.25 | (1321) op1(e13, e12) = e13
% 20.55/5.25 |
% 20.55/5.25 +-Applying beta-rule and splitting (180), into two cases.
% 20.55/5.25 |-Branch one:
% 20.55/5.25 | (800) all_0_221_221 = e13
% 20.55/5.25 |
% 20.55/5.25 | Equations (800) can reduce 797 to:
% 20.55/5.25 | (508) $false
% 20.55/5.25 |
% 20.55/5.25 |-The branch is then unsatisfiable
% 20.55/5.25 |-Branch two:
% 20.55/5.25 | (797) ~ (all_0_221_221 = e13)
% 20.55/5.25 | (803) all_0_221_221 = e11
% 20.55/5.25 |
% 20.55/5.25 | Equations (803) can reduce 77 to:
% 20.55/5.25 | (790) ~ (all_0_224_224 = e11)
% 20.55/5.25 |
% 20.55/5.25 | Simplifying 790 yields:
% 20.55/5.25 | (791) ~ (all_0_224_224 = e11)
% 20.55/5.25 |
% 20.55/5.25 | Equations (803) can reduce 797 to:
% 20.55/5.25 | (792) ~ (e13 = e11)
% 20.55/5.25 |
% 20.55/5.25 | Simplifying 792 yields:
% 20.55/5.25 | (40) ~ (e13 = e11)
% 20.55/5.25 |
% 20.55/5.25 +-Applying beta-rule and splitting (383), into two cases.
% 20.55/5.25 |-Branch one:
% 20.55/5.25 | (1060) all_0_224_224 = e13
% 20.55/5.25 |
% 20.55/5.25 | Equations (1060) can reduce 1100 to:
% 20.55/5.25 | (508) $false
% 20.55/5.25 |
% 20.55/5.25 |-The branch is then unsatisfiable
% 20.55/5.25 |-Branch two:
% 20.55/5.25 | (1100) ~ (all_0_224_224 = e13)
% 20.55/5.25 | (1101) all_0_224_224 = e12 | all_0_224_224 = e11
% 20.55/5.25 |
% 20.55/5.25 +-Applying beta-rule and splitting (1101), into two cases.
% 20.55/5.25 |-Branch one:
% 20.55/5.25 | (1102) all_0_224_224 = e11
% 20.55/5.25 |
% 20.55/5.25 | Equations (1102) can reduce 791 to:
% 20.55/5.25 | (508) $false
% 20.55/5.25 |
% 20.55/5.25 |-The branch is then unsatisfiable
% 20.55/5.25 |-Branch two:
% 20.55/5.25 | (791) ~ (all_0_224_224 = e11)
% 20.55/5.25 | (822) all_0_224_224 = e12
% 20.55/5.25 |
% 20.55/5.25 | Equations (822) can reduce 448 to:
% 20.55/5.25 | (813) ~ (all_0_227_227 = e12)
% 20.55/5.25 |
% 20.55/5.25 | Simplifying 813 yields:
% 20.55/5.25 | (814) ~ (all_0_227_227 = e12)
% 20.55/5.25 |
% 20.55/5.25 +-Applying beta-rule and splitting (366), into two cases.
% 20.55/5.25 |-Branch one:
% 20.55/5.25 | (852) all_0_220_220 = e11
% 20.55/5.25 |
% 20.55/5.25 | Combining equations (852,795) yields a new equation:
% 20.55/5.25 | (853) e13 = e11
% 20.55/5.25 |
% 20.55/5.25 | Equations (853) can reduce 40 to:
% 20.55/5.25 | (508) $false
% 20.55/5.25 |
% 20.55/5.25 |-The branch is then unsatisfiable
% 20.55/5.25 |-Branch two:
% 20.55/5.25 | (855) ~ (all_0_220_220 = e11)
% 20.55/5.25 | (856) all_0_226_226 = e11 | all_0_229_229 = e11
% 20.55/5.25 |
% 20.55/5.25 +-Applying beta-rule and splitting (856), into two cases.
% 20.55/5.25 |-Branch one:
% 20.55/5.25 | (918) all_0_226_226 = e11
% 20.55/5.25 |
% 20.55/5.25 | Equations (918) can reduce 69 to:
% 20.55/5.25 | (907) ~ (all_0_225_225 = e11)
% 20.55/5.25 |
% 20.55/5.25 | Equations (918) can reduce 362 to:
% 20.55/5.25 | (806) ~ (all_0_227_227 = e11)
% 20.55/5.25 |
% 20.55/5.25 | Simplifying 806 yields:
% 20.55/5.25 | (807) ~ (all_0_227_227 = e11)
% 20.55/5.25 |
% 20.55/5.25 | Equations (918) can reduce 450 to:
% 20.55/5.25 | (1349) ~ (all_0_229_229 = e11)
% 20.55/5.25 |
% 20.55/5.25 | Simplifying 1349 yields:
% 20.55/5.25 | (903) ~ (all_0_229_229 = e11)
% 20.55/5.25 |
% 20.55/5.25 | From (918) and (335) follows:
% 20.55/5.25 | (890) op1(e11, e12) = e11
% 20.55/5.25 |
% 20.55/5.25 +-Applying beta-rule and splitting (319), into two cases.
% 20.55/5.25 |-Branch one:
% 20.55/5.25 | (943) all_0_222_222 = e11
% 20.55/5.25 |
% 20.55/5.25 | Equations (943) can reduce 346 to:
% 20.55/5.25 | (1353) ~ (all_0_225_225 = e11)
% 20.55/5.25 |
% 20.55/5.25 | Simplifying 1353 yields:
% 20.55/5.25 | (907) ~ (all_0_225_225 = e11)
% 20.55/5.25 |
% 20.55/5.25 | Equations (943) can reduce 111 to:
% 20.55/5.25 | (1355) ~ (all_0_228_228 = e11)
% 20.55/5.25 |
% 20.55/5.25 | Simplifying 1355 yields:
% 20.55/5.25 | (839) ~ (all_0_228_228 = e11)
% 20.55/5.25 |
% 20.55/5.25 | Equations (943) can reduce 169 to:
% 20.55/5.25 | (175) ~ (e11 = e10)
% 20.55/5.25 |
% 20.55/5.25 +-Applying beta-rule and splitting (249), into two cases.
% 20.55/5.25 |-Branch one:
% 20.55/5.25 | (914) all_0_229_229 = e13
% 20.55/5.25 |
% 20.55/5.25 | Equations (914) can reduce 799 to:
% 20.55/5.25 | (508) $false
% 20.55/5.25 |
% 20.55/5.25 |-The branch is then unsatisfiable
% 20.55/5.25 |-Branch two:
% 20.55/5.25 | (799) ~ (all_0_229_229 = e13)
% 20.55/5.25 | (917) all_0_229_229 = e12 | all_0_229_229 = e11
% 20.55/5.25 |
% 20.55/5.25 +-Applying beta-rule and splitting (149), into two cases.
% 20.55/5.25 |-Branch one:
% 20.55/5.25 | (846) all_0_227_227 = e13
% 20.55/5.25 |
% 20.55/5.25 | Equations (846) can reduce 294 to:
% 20.55/5.25 | (828) ~ (all_0_225_225 = e13)
% 20.55/5.25 |
% 20.55/5.25 | Equations (846) can reduce 807 to:
% 20.55/5.25 | (40) ~ (e13 = e11)
% 20.55/5.25 |
% 20.55/5.25 | From (846) and (259) follows:
% 20.55/5.25 | (1365) op1(e11, e10) = e13
% 20.55/5.25 |
% 20.55/5.25 +-Applying beta-rule and splitting (917), into two cases.
% 20.55/5.25 |-Branch one:
% 20.55/5.25 | (858) all_0_229_229 = e11
% 20.55/5.25 |
% 20.55/5.25 | Equations (858) can reduce 903 to:
% 20.55/5.25 | (508) $false
% 20.55/5.25 |
% 20.55/5.25 |-The branch is then unsatisfiable
% 20.55/5.25 |-Branch two:
% 20.55/5.25 | (903) ~ (all_0_229_229 = e11)
% 20.55/5.25 | (956) all_0_229_229 = e12
% 20.55/5.25 |
% 20.55/5.25 | From (956) and (290) follows:
% 20.55/5.26 | (960) op1(e10, e12) = e12
% 20.55/5.26 |
% 20.55/5.26 +-Applying beta-rule and splitting (130), into two cases.
% 20.55/5.26 |-Branch one:
% 20.55/5.26 | (978) all_0_225_225 = e12
% 20.55/5.26 |
% 20.55/5.26 | Equations (978) can reduce 828 to:
% 20.55/5.26 | (1372) ~ (e13 = e12)
% 20.55/5.26 |
% 20.55/5.26 | Simplifying 1372 yields:
% 20.55/5.26 | (112) ~ (e13 = e12)
% 20.55/5.26 |
% 20.55/5.26 | Equations (978) can reduce 78 to:
% 20.55/5.26 | (203) ~ (e12 = e10)
% 20.55/5.26 |
% 20.55/5.26 | From (978) and (393) follows:
% 20.55/5.26 | (981) op1(e11, e13) = e12
% 20.55/5.26 |
% 20.55/5.26 +-Applying beta-rule and splitting (124), into two cases.
% 20.55/5.26 |-Branch one:
% 20.55/5.26 | (1376) all_0_228_228 = e13
% 20.55/5.26 |
% 20.55/5.26 | Equations (1376) can reduce 839 to:
% 20.55/5.26 | (40) ~ (e13 = e11)
% 20.55/5.26 |
% 20.55/5.26 | From (1376) and (13) follows:
% 20.55/5.26 | (897) op1(e10, e13) = e13
% 20.55/5.26 |
% 20.55/5.26 +-Applying beta-rule and splitting (375), into two cases.
% 20.55/5.26 |-Branch one:
% 20.55/5.26 | (862) unit1 = e13
% 20.55/5.26 |
% 20.55/5.26 | From (862) and (331) follows:
% 20.55/5.26 | (1380) op1(e13, e12) = e12
% 20.55/5.26 |
% 20.55/5.26 | From (862) and (2) follows:
% 20.55/5.26 | (1001) op1(e11, e13) = e11
% 20.55/5.26 |
% 20.55/5.26 | From (862) and (145) follows:
% 20.55/5.26 | (1382) op1(e10, e13) = e10
% 20.55/5.26 |
% 20.55/5.26 | Instantiating formula (487) with e13, e12, e12, e13 and discharging atoms op1(e13, e12) = e13, op1(e13, e12) = e12, yields:
% 20.55/5.26 | (843) e13 = e12
% 20.55/5.26 |
% 20.55/5.26 | Instantiating formula (487) with e11, e13, e11, e12 and discharging atoms op1(e11, e13) = e12, op1(e11, e13) = e11, yields:
% 20.55/5.26 | (837) e12 = e11
% 20.55/5.26 |
% 20.55/5.26 | Instantiating formula (487) with e10, e13, e10, e13 and discharging atoms op1(e10, e13) = e13, op1(e10, e13) = e10, yields:
% 20.55/5.26 | (866) e13 = e10
% 20.55/5.26 |
% 20.55/5.26 | Combining equations (866,843) yields a new equation:
% 20.55/5.26 | (869) e12 = e10
% 20.55/5.26 |
% 20.55/5.26 | Combining equations (869,837) yields a new equation:
% 20.55/5.26 | (871) e11 = e10
% 20.55/5.26 |
% 20.55/5.26 | Equations (871) can reduce 175 to:
% 20.55/5.26 | (508) $false
% 20.55/5.26 |
% 20.55/5.26 |-The branch is then unsatisfiable
% 20.55/5.26 |-Branch two:
% 20.55/5.26 | (873) ~ (unit1 = e13)
% 20.55/5.26 | (874) unit1 = e12 | unit1 = e11 | unit1 = e10
% 20.55/5.26 |
% 20.55/5.26 +-Applying beta-rule and splitting (874), into two cases.
% 20.55/5.26 |-Branch one:
% 20.55/5.26 | (875) unit1 = e11
% 20.55/5.26 |
% 20.55/5.26 | From (875) and (74) follows:
% 20.55/5.26 | (1011) op1(e11, e13) = e13
% 20.55/5.26 |
% 20.55/5.26 | From (875) and (331) follows:
% 20.55/5.26 | (817) op1(e11, e12) = e12
% 20.55/5.26 |
% 20.55/5.26 | From (875) and (376) follows:
% 20.55/5.26 | (1394) op1(e11, e10) = e10
% 20.55/5.26 |
% 20.55/5.26 | Instantiating formula (487) with e11, e13, e13, e12 and discharging atoms op1(e11, e13) = e13, op1(e11, e13) = e12, yields:
% 20.55/5.26 | (843) e13 = e12
% 20.55/5.26 |
% 20.55/5.26 | Instantiating formula (487) with e11, e12, e12, e11 and discharging atoms op1(e11, e12) = e12, op1(e11, e12) = e11, yields:
% 20.55/5.26 | (837) e12 = e11
% 20.55/5.26 |
% 20.55/5.26 | Instantiating formula (487) with e11, e10, e10, e13 and discharging atoms op1(e11, e10) = e13, op1(e11, e10) = e10, yields:
% 20.55/5.26 | (866) e13 = e10
% 20.55/5.26 |
% 20.55/5.26 | Combining equations (843,866) yields a new equation:
% 20.55/5.26 | (882) e12 = e10
% 20.55/5.26 |
% 20.55/5.26 | Simplifying 882 yields:
% 20.55/5.26 | (869) e12 = e10
% 20.55/5.26 |
% 20.55/5.26 | Combining equations (869,837) yields a new equation:
% 20.55/5.26 | (871) e11 = e10
% 20.55/5.26 |
% 20.55/5.26 | Equations (871) can reduce 175 to:
% 20.55/5.26 | (508) $false
% 20.55/5.26 |
% 20.55/5.26 |-The branch is then unsatisfiable
% 20.55/5.26 |-Branch two:
% 20.55/5.26 | (886) ~ (unit1 = e11)
% 20.55/5.26 | (887) unit1 = e12 | unit1 = e10
% 20.55/5.26 |
% 20.55/5.26 +-Applying beta-rule and splitting (887), into two cases.
% 20.55/5.26 |-Branch one:
% 20.55/5.26 | (888) unit1 = e12
% 20.55/5.26 |
% 20.55/5.26 | From (888) and (145) follows:
% 20.55/5.26 | (1024) op1(e10, e12) = e10
% 20.55/5.26 |
% 20.55/5.26 | Instantiating formula (487) with e10, e12, e10, e12 and discharging atoms op1(e10, e12) = e12, op1(e10, e12) = e10, yields:
% 20.55/5.26 | (869) e12 = e10
% 20.55/5.26 |
% 20.55/5.26 | Equations (869) can reduce 203 to:
% 20.55/5.26 | (508) $false
% 20.55/5.26 |
% 20.55/5.26 |-The branch is then unsatisfiable
% 20.55/5.26 |-Branch two:
% 20.55/5.26 | (895) ~ (unit1 = e12)
% 20.55/5.26 | (896) unit1 = e10
% 20.55/5.26 |
% 20.55/5.26 | From (896) and (2) follows:
% 20.55/5.26 | (1410) op1(e11, e10) = e11
% 20.55/5.26 |
% 20.55/5.26 | Instantiating formula (487) with e11, e10, e11, e13 and discharging atoms op1(e11, e10) = e13, op1(e11, e10) = e11, yields:
% 20.55/5.26 | (853) e13 = e11
% 20.55/5.26 |
% 20.55/5.26 | Equations (853) can reduce 40 to:
% 20.55/5.26 | (508) $false
% 20.55/5.26 |
% 20.55/5.26 |-The branch is then unsatisfiable
% 20.55/5.26 |-Branch two:
% 20.55/5.26 | (1159) ~ (all_0_228_228 = e13)
% 20.55/5.26 | (1414) all_0_229_229 = e13 | all_0_230_230 = e13
% 20.55/5.26 |
% 20.55/5.26 +-Applying beta-rule and splitting (1414), into two cases.
% 20.55/5.26 |-Branch one:
% 20.55/5.26 | (914) all_0_229_229 = e13
% 20.55/5.26 |
% 20.55/5.27 | Combining equations (914,956) yields a new equation:
% 20.55/5.27 | (987) e13 = e12
% 20.55/5.27 |
% 20.55/5.27 | Simplifying 987 yields:
% 20.55/5.27 | (843) e13 = e12
% 20.55/5.27 |
% 20.55/5.27 | Equations (843) can reduce 112 to:
% 20.55/5.27 | (508) $false
% 20.55/5.27 |
% 20.55/5.27 |-The branch is then unsatisfiable
% 20.55/5.27 |-Branch two:
% 20.55/5.27 | (799) ~ (all_0_229_229 = e13)
% 20.55/5.27 | (782) all_0_230_230 = e13
% 20.55/5.27 |
% 20.55/5.27 | Combining equations (904,782) yields a new equation:
% 20.55/5.27 | (853) e13 = e11
% 20.55/5.27 |
% 20.55/5.27 | Equations (853) can reduce 40 to:
% 20.55/5.27 | (508) $false
% 20.55/5.27 |
% 20.55/5.27 |-The branch is then unsatisfiable
% 20.55/5.27 |-Branch two:
% 20.55/5.27 | (1039) ~ (all_0_225_225 = e12)
% 20.55/5.27 | (1040) all_0_226_226 = e12 | all_0_227_227 = e12
% 20.55/5.27 |
% 20.55/5.27 +-Applying beta-rule and splitting (457), into two cases.
% 20.55/5.27 |-Branch one:
% 20.55/5.27 | (831) all_0_225_225 = e13
% 20.55/5.27 |
% 20.55/5.27 | Equations (831) can reduce 828 to:
% 20.55/5.27 | (508) $false
% 20.55/5.27 |
% 20.55/5.27 |-The branch is then unsatisfiable
% 20.55/5.27 |-Branch two:
% 20.55/5.27 | (828) ~ (all_0_225_225 = e13)
% 20.55/5.27 | (1108) all_0_225_225 = e12 | all_0_225_225 = e11
% 20.55/5.27 |
% 20.55/5.27 +-Applying beta-rule and splitting (1108), into two cases.
% 20.55/5.27 |-Branch one:
% 20.55/5.27 | (849) all_0_225_225 = e11
% 20.55/5.27 |
% 20.55/5.27 | Equations (849) can reduce 907 to:
% 20.55/5.27 | (508) $false
% 20.55/5.27 |
% 20.55/5.27 |-The branch is then unsatisfiable
% 20.55/5.27 |-Branch two:
% 20.55/5.27 | (907) ~ (all_0_225_225 = e11)
% 20.55/5.27 | (978) all_0_225_225 = e12
% 20.55/5.27 |
% 20.55/5.27 | Equations (978) can reduce 1039 to:
% 20.55/5.27 | (508) $false
% 20.55/5.27 |
% 20.55/5.27 |-The branch is then unsatisfiable
% 20.55/5.27 |-Branch two:
% 20.55/5.27 | (1140) ~ (all_0_227_227 = e13)
% 20.55/5.27 | (1435) all_0_227_227 = e12 | all_0_227_227 = e11
% 20.55/5.27 |
% 20.55/5.27 +-Applying beta-rule and splitting (1435), into two cases.
% 20.55/5.27 |-Branch one:
% 20.55/5.27 | (933) all_0_227_227 = e11
% 20.55/5.27 |
% 20.55/5.27 | Equations (933) can reduce 807 to:
% 20.55/5.27 | (508) $false
% 20.55/5.27 |
% 20.55/5.27 |-The branch is then unsatisfiable
% 20.55/5.27 |-Branch two:
% 20.55/5.27 | (807) ~ (all_0_227_227 = e11)
% 20.55/5.27 | (953) all_0_227_227 = e12
% 20.55/5.27 |
% 20.55/5.27 | Equations (953) can reduce 814 to:
% 20.55/5.27 | (508) $false
% 20.55/5.27 |
% 20.55/5.27 |-The branch is then unsatisfiable
% 20.55/5.27 |-Branch two:
% 20.55/5.27 | (789) ~ (all_0_222_222 = e11)
% 20.55/5.27 | (946) all_0_225_225 = e11 | all_0_228_228 = e11
% 20.55/5.27 |
% 20.55/5.27 +-Applying beta-rule and splitting (946), into two cases.
% 20.55/5.27 |-Branch one:
% 20.55/5.27 | (849) all_0_225_225 = e11
% 20.55/5.27 |
% 20.55/5.27 | Equations (849) can reduce 907 to:
% 20.55/5.27 | (508) $false
% 20.55/5.27 |
% 20.55/5.27 |-The branch is then unsatisfiable
% 20.55/5.27 |-Branch two:
% 20.55/5.27 | (907) ~ (all_0_225_225 = e11)
% 20.55/5.27 | (835) all_0_228_228 = e11
% 20.55/5.27 |
% 20.55/5.27 | Equations (835) can reduce 839 to:
% 20.55/5.27 | (508) $false
% 20.55/5.27 |
% 20.55/5.27 |-The branch is then unsatisfiable
% 20.55/5.27 |-Branch two:
% 20.55/5.27 | (922) ~ (all_0_226_226 = e11)
% 20.55/5.27 | (858) all_0_229_229 = e11
% 20.55/5.27 |
% 20.55/5.27 | Equations (858) can reduce 903 to:
% 20.55/5.27 | (508) $false
% 20.55/5.27 |
% 20.55/5.27 |-The branch is then unsatisfiable
% 20.55/5.27 |-Branch two:
% 20.55/5.27 | (1135) ~ (all_0_220_220 = e13)
% 20.55/5.27 | (800) all_0_221_221 = e13
% 20.55/5.27 |
% 20.55/5.27 | Equations (800) can reduce 49 to:
% 20.55/5.27 | (1135) ~ (all_0_220_220 = e13)
% 20.55/5.27 |
% 20.55/5.27 | Equations (800) can reduce 77 to:
% 20.55/5.27 | (1137) ~ (all_0_224_224 = e13)
% 20.55/5.27 |
% 20.55/5.27 | Simplifying 1137 yields:
% 20.55/5.27 | (1100) ~ (all_0_224_224 = e13)
% 20.55/5.27 |
% 20.55/5.27 | Equations (800) can reduce 372 to:
% 20.55/5.27 | (112) ~ (e13 = e12)
% 20.55/5.27 |
% 20.55/5.27 | From (800) and (108) follows:
% 20.55/5.27 | (1457) h6(e13) = all_0_109_109
% 20.55/5.27 |
% 20.55/5.27 +-Applying beta-rule and splitting (224), into two cases.
% 20.55/5.27 |-Branch one:
% 20.55/5.27 | (852) all_0_220_220 = e11
% 20.55/5.27 |
% 20.55/5.27 | Equations (852) can reduce 272 to:
% 20.55/5.27 | (1349) ~ (all_0_229_229 = e11)
% 20.55/5.27 |
% 20.55/5.27 | Simplifying 1349 yields:
% 20.55/5.27 | (903) ~ (all_0_229_229 = e11)
% 20.55/5.27 |
% 20.55/5.28 | Equations (852) can reduce 1135 to:
% 20.55/5.28 | (792) ~ (e13 = e11)
% 20.55/5.28 |
% 20.55/5.28 | Simplifying 792 yields:
% 20.55/5.28 | (40) ~ (e13 = e11)
% 20.55/5.28 |
% 20.55/5.28 | From (852) and (207) follows:
% 20.55/5.28 | (1463) h6(e11) = all_0_108_108
% 20.55/5.28 |
% 20.55/5.28 | Instantiating formula (268) with e13, all_0_109_109, e23 and discharging atoms h6(e13) = all_0_109_109, h6(e13) = e23, yields:
% 20.55/5.28 | (1464) all_0_109_109 = e23
% 20.55/5.28 |
% 20.55/5.28 | Instantiating formula (268) with e11, all_0_108_108, e21 and discharging atoms h6(e11) = all_0_108_108, h6(e11) = e21, yields:
% 20.55/5.28 | (1465) all_0_108_108 = e21
% 20.55/5.28 |
% 20.55/5.28 | From (1464) and (1457) follows:
% 20.55/5.28 | (260) h6(e13) = e23
% 20.55/5.28 |
% 20.55/5.28 | From (1465) and (1463) follows:
% 20.55/5.28 | (484) h6(e11) = e21
% 20.55/5.28 |
% 20.55/5.28 +-Applying beta-rule and splitting (235), into two cases.
% 20.55/5.28 |-Branch one:
% 20.55/5.28 | (638) all_0_209_209 = e23
% 20.55/5.28 |
% 20.55/5.28 | Equations (638) can reduce 491 to:
% 20.55/5.28 | (1469) ~ (all_0_210_210 = e23)
% 20.55/5.28 |
% 20.55/5.28 | Simplifying 1469 yields:
% 20.55/5.28 | (632) ~ (all_0_210_210 = e23)
% 20.55/5.28 |
% 20.55/5.28 | Equations (638) can reduce 269 to:
% 20.55/5.28 | (1471) ~ (all_0_215_215 = e23)
% 20.55/5.28 |
% 20.55/5.28 | Simplifying 1471 yields:
% 20.55/5.28 | (625) ~ (all_0_215_215 = e23)
% 20.55/5.28 |
% 20.55/5.28 | Equations (638) can reduce 337 to:
% 20.55/5.28 | (136) ~ (e23 = e22)
% 20.55/5.28 |
% 20.55/5.28 | From (638) and (208) follows:
% 20.55/5.28 | (1474) op2(e23, e22) = all_0_60_60
% 20.55/5.28 |
% 20.55/5.28 | From (638) and (114) follows:
% 20.55/5.28 | (1475) op2(e23, e22) = e23
% 20.55/5.28 |
% 20.55/5.28 | From (638) and (43) follows:
% 20.55/5.28 | (1476) op2(e20, e23) = all_0_69_69
% 20.55/5.28 |
% 20.55/5.28 +-Applying beta-rule and splitting (67), into two cases.
% 20.55/5.28 |-Branch one:
% 20.55/5.28 | (525) all_0_210_210 = e23
% 20.55/5.28 |
% 20.55/5.28 | Equations (525) can reduce 632 to:
% 20.55/5.28 | (508) $false
% 20.55/5.28 |
% 20.55/5.28 |-The branch is then unsatisfiable
% 20.55/5.28 |-Branch two:
% 20.55/5.28 | (632) ~ (all_0_210_210 = e23)
% 20.55/5.28 | (605) all_0_210_210 = e21
% 20.55/5.28 |
% 20.55/5.28 | Equations (605) can reduce 632 to:
% 20.55/5.28 | (566) ~ (e23 = e21)
% 20.55/5.28 |
% 20.55/5.28 | Simplifying 566 yields:
% 20.55/5.28 | (386) ~ (e23 = e21)
% 20.55/5.28 |
% 20.55/5.28 +-Applying beta-rule and splitting (171), into two cases.
% 20.55/5.28 |-Branch one:
% 20.55/5.28 | (622) all_0_215_215 = e23
% 20.55/5.28 |
% 20.55/5.28 | Equations (622) can reduce 625 to:
% 20.55/5.28 | (508) $false
% 20.55/5.28 |
% 20.55/5.28 |-The branch is then unsatisfiable
% 20.55/5.28 |-Branch two:
% 20.55/5.28 | (625) ~ (all_0_215_215 = e23)
% 20.55/5.28 | (1486) all_0_215_215 = e22 | all_0_215_215 = e21
% 20.55/5.28 |
% 20.55/5.28 +-Applying beta-rule and splitting (452), into two cases.
% 20.55/5.28 |-Branch one:
% 20.55/5.28 | (525) all_0_210_210 = e23
% 20.55/5.28 |
% 20.55/5.28 | Combining equations (605,525) yields a new equation:
% 20.55/5.28 | (562) e23 = e21
% 20.55/5.28 |
% 20.55/5.28 | Equations (562) can reduce 386 to:
% 20.55/5.28 | (508) $false
% 20.55/5.28 |
% 20.55/5.28 |-The branch is then unsatisfiable
% 20.55/5.28 |-Branch two:
% 20.55/5.28 | (632) ~ (all_0_210_210 = e23)
% 20.55/5.28 | (1491) all_0_213_213 = e23 | all_0_216_216 = e23
% 20.55/5.28 |
% 20.55/5.28 +-Applying beta-rule and splitting (1491), into two cases.
% 20.55/5.28 |-Branch one:
% 20.55/5.28 | (1492) all_0_213_213 = e23
% 20.55/5.28 |
% 20.55/5.28 | Combining equations (1492,510) yields a new equation:
% 20.55/5.28 | (1493) e23 = e22
% 20.55/5.28 |
% 20.78/5.28 | Simplifying 1493 yields:
% 20.78/5.28 | (551) e23 = e22
% 20.78/5.28 |
% 20.78/5.28 | Equations (551) can reduce 136 to:
% 20.78/5.28 | (508) $false
% 20.78/5.28 |
% 20.78/5.28 |-The branch is then unsatisfiable
% 20.78/5.28 |-Branch two:
% 20.78/5.28 | (1496) ~ (all_0_213_213 = e23)
% 20.78/5.28 | (529) all_0_216_216 = e23
% 20.78/5.28 |
% 20.78/5.28 | Equations (529) can reduce 328 to:
% 20.78/5.28 | (625) ~ (all_0_215_215 = e23)
% 20.78/5.28 |
% 20.78/5.28 | From (529) and (176) follows:
% 20.78/5.28 | (1499) op2(e21, e20) = e23
% 20.78/5.28 |
% 20.78/5.28 +-Applying beta-rule and splitting (1486), into two cases.
% 20.78/5.28 |-Branch one:
% 20.78/5.28 | (728) all_0_215_215 = e21
% 20.78/5.28 |
% 20.78/5.28 | Equations (728) can reduce 625 to:
% 20.78/5.28 | (566) ~ (e23 = e21)
% 20.78/5.28 |
% 20.78/5.28 | Simplifying 566 yields:
% 20.78/5.28 | (386) ~ (e23 = e21)
% 20.78/5.28 |
% 20.78/5.28 | Equations (728) can reduce 344 to:
% 20.78/5.28 | (387) ~ (e21 = e20)
% 20.78/5.28 |
% 20.78/5.28 | From (728) and (57) follows:
% 20.78/5.28 | (1504) op2(e21, e22) = all_0_78_78
% 20.78/5.28 |
% 20.78/5.28 | From (728) and (80) follows:
% 20.78/5.28 | (1505) op2(e21, e20) = all_0_80_80
% 20.78/5.28 |
% 20.78/5.28 | From (728) and (323) follows:
% 20.78/5.28 | (598) op2(e21, e22) = e21
% 20.78/5.28 |
% 20.78/5.28 | Instantiating formula (148) with e23, e22, e23, all_0_60_60 and discharging atoms op2(e23, e22) = all_0_60_60, op2(e23, e22) = e23, yields:
% 20.78/5.28 | (1507) all_0_60_60 = e23
% 20.78/5.28 |
% 20.78/5.28 | Instantiating formula (148) with e21, e22, e21, all_0_78_78 and discharging atoms op2(e21, e22) = all_0_78_78, op2(e21, e22) = e21, yields:
% 20.78/5.28 | (1508) all_0_78_78 = e21
% 20.78/5.28 |
% 20.78/5.28 | Instantiating formula (148) with e21, e20, e23, all_0_80_80 and discharging atoms op2(e21, e20) = all_0_80_80, op2(e21, e20) = e23, yields:
% 20.78/5.29 | (1509) all_0_80_80 = e23
% 20.78/5.29 |
% 20.78/5.29 | Instantiating formula (148) with e20, e23, all_0_69_69, e23 and discharging atoms op2(e20, e23) = all_0_69_69, op2(e20, e23) = e23, yields:
% 20.78/5.29 | (1510) all_0_69_69 = e23
% 20.78/5.29 |
% 20.78/5.29 | From (1507) and (1474) follows:
% 20.78/5.29 | (1475) op2(e23, e22) = e23
% 20.78/5.29 |
% 20.78/5.29 | From (1508) and (1504) follows:
% 20.78/5.29 | (598) op2(e21, e22) = e21
% 20.78/5.29 |
% 20.78/5.29 | From (1509) and (1505) follows:
% 20.78/5.29 | (1499) op2(e21, e20) = e23
% 20.78/5.29 |
% 20.78/5.29 | From (1510) and (1476) follows:
% 20.78/5.29 | (675) op2(e20, e23) = e23
% 20.78/5.29 |
% 20.78/5.29 +-Applying beta-rule and splitting (377), into two cases.
% 20.78/5.29 |-Branch one:
% 20.78/5.29 | (575) unit2 = e20
% 20.78/5.29 |
% 20.78/5.29 | From (575) and (276) follows:
% 20.78/5.29 | (1516) op2(e21, e20) = e21
% 20.78/5.29 |
% 20.78/5.29 | Instantiating formula (148) with e21, e20, e21, e23 and discharging atoms op2(e21, e20) = e23, op2(e21, e20) = e21, yields:
% 20.78/5.29 | (562) e23 = e21
% 20.78/5.29 |
% 20.78/5.29 | Equations (562) can reduce 386 to:
% 20.78/5.29 | (508) $false
% 20.78/5.29 |
% 20.78/5.29 |-The branch is then unsatisfiable
% 20.78/5.29 |-Branch two:
% 20.78/5.29 | (579) ~ (unit2 = e20)
% 20.78/5.29 | (580) unit2 = e23 | unit2 = e22 | unit2 = e21
% 20.78/5.29 |
% 20.78/5.29 +-Applying beta-rule and splitting (580), into two cases.
% 20.78/5.29 |-Branch one:
% 20.78/5.29 | (581) unit2 = e23
% 20.78/5.29 |
% 20.78/5.29 | From (581) and (416) follows:
% 20.78/5.29 | (1522) op2(e23, e22) = e22
% 20.78/5.29 |
% 20.78/5.29 | From (581) and (276) follows:
% 20.78/5.29 | (1523) op2(e21, e23) = e21
% 20.78/5.29 |
% 20.78/5.29 | From (581) and (339) follows:
% 20.78/5.29 | (583) op2(e20, e23) = e20
% 20.78/5.29 |
% 20.78/5.29 | Instantiating formula (148) with e23, e22, e22, e23 and discharging atoms op2(e23, e22) = e23, op2(e23, e22) = e22, yields:
% 20.78/5.29 | (551) e23 = e22
% 20.78/5.29 |
% 20.78/5.29 | Instantiating formula (148) with e21, e23, e21, e22 and discharging atoms op2(e21, e23) = e22, op2(e21, e23) = e21, yields:
% 20.78/5.29 | (584) e22 = e21
% 20.78/5.29 |
% 20.78/5.29 | Instantiating formula (148) with e20, e23, e20, e23 and discharging atoms op2(e20, e23) = e23, op2(e20, e23) = e20, yields:
% 20.78/5.29 | (688) e23 = e20
% 20.78/5.29 |
% 20.78/5.29 | Combining equations (551,688) yields a new equation:
% 20.78/5.29 | (691) e22 = e20
% 20.78/5.29 |
% 20.78/5.29 | Simplifying 691 yields:
% 20.78/5.29 | (585) e22 = e20
% 20.78/5.29 |
% 20.78/5.29 | Combining equations (585,584) yields a new equation:
% 20.78/5.29 | (586) e21 = e20
% 20.78/5.29 |
% 20.78/5.29 | Equations (586) can reduce 387 to:
% 20.78/5.29 | (508) $false
% 20.78/5.29 |
% 20.78/5.29 |-The branch is then unsatisfiable
% 20.78/5.29 |-Branch two:
% 20.78/5.29 | (588) ~ (unit2 = e23)
% 20.78/5.29 | (589) unit2 = e22 | unit2 = e21
% 20.78/5.29 |
% 20.78/5.29 +-Applying beta-rule and splitting (589), into two cases.
% 20.78/5.29 |-Branch one:
% 20.78/5.29 | (590) unit2 = e21
% 20.78/5.29 |
% 20.78/5.29 | Equations (590) can reduce 579 to:
% 20.78/5.29 | (387) ~ (e21 = e20)
% 20.78/5.29 |
% 20.78/5.29 | From (590) and (116) follows:
% 20.78/5.29 | (1536) op2(e21, e23) = e23
% 20.78/5.29 |
% 20.78/5.29 | From (590) and (416) follows:
% 20.78/5.29 | (499) op2(e21, e22) = e22
% 20.78/5.29 |
% 20.78/5.29 | From (590) and (146) follows:
% 20.78/5.29 | (1538) op2(e21, e20) = e20
% 20.78/5.29 |
% 20.78/5.29 | Instantiating formula (148) with e21, e23, e23, e22 and discharging atoms op2(e21, e23) = e23, op2(e21, e23) = e22, yields:
% 20.78/5.29 | (551) e23 = e22
% 20.78/5.29 |
% 20.78/5.29 | Instantiating formula (148) with e21, e22, e22, e21 and discharging atoms op2(e21, e22) = e22, op2(e21, e22) = e21, yields:
% 20.78/5.29 | (584) e22 = e21
% 20.78/5.29 |
% 20.78/5.29 | Instantiating formula (148) with e21, e20, e20, e23 and discharging atoms op2(e21, e20) = e23, op2(e21, e20) = e20, yields:
% 20.78/5.29 | (688) e23 = e20
% 20.78/5.29 |
% 20.78/5.29 | Combining equations (551,688) yields a new equation:
% 20.78/5.29 | (691) e22 = e20
% 20.78/5.29 |
% 20.78/5.29 | Simplifying 691 yields:
% 20.78/5.29 | (585) e22 = e20
% 20.78/5.29 |
% 20.78/5.29 | Combining equations (585,584) yields a new equation:
% 20.78/5.29 | (586) e21 = e20
% 20.78/5.29 |
% 20.78/5.29 | Equations (586) can reduce 387 to:
% 20.78/5.29 | (508) $false
% 20.78/5.29 |
% 20.78/5.29 |-The branch is then unsatisfiable
% 20.78/5.29 |-Branch two:
% 20.78/5.29 | (595) ~ (unit2 = e21)
% 20.78/5.29 | (596) unit2 = e22
% 20.78/5.29 |
% 20.78/5.29 | Equations (596) can reduce 579 to:
% 20.78/5.29 | (424) ~ (e22 = e20)
% 20.78/5.29 |
% 20.78/5.29 | From (596) and (339) follows:
% 20.78/5.29 | (1549) op2(e20, e22) = e20
% 20.78/5.29 |
% 20.78/5.29 | Instantiating formula (148) with e20, e22, e20, e22 and discharging atoms op2(e20, e22) = e22, op2(e20, e22) = e20, yields:
% 20.78/5.29 | (585) e22 = e20
% 20.78/5.29 |
% 20.78/5.29 | Equations (585) can reduce 424 to:
% 20.78/5.29 | (508) $false
% 20.78/5.29 |
% 20.78/5.29 |-The branch is then unsatisfiable
% 20.78/5.29 |-Branch two:
% 20.78/5.29 | (732) ~ (all_0_215_215 = e21)
% 20.78/5.29 | (493) all_0_215_215 = e22
% 20.78/5.29 |
% 20.78/5.29 | Equations (493) can reduce 748 to:
% 20.78/5.29 | (508) $false
% 20.78/5.29 |
% 20.78/5.29 |-The branch is then unsatisfiable
% 20.78/5.30 |-Branch two:
% 20.78/5.30 | (741) ~ (all_0_209_209 = e23)
% 20.78/5.30 | (525) all_0_210_210 = e23
% 20.78/5.30 |
% 20.78/5.30 +-Applying beta-rule and splitting (201), into two cases.
% 20.78/5.30 |-Branch one:
% 20.78/5.30 | (569) all_0_209_209 = e21
% 20.78/5.30 |
% 20.78/5.30 | Equations (569) can reduce 269 to:
% 20.78/5.30 | (1558) ~ (all_0_215_215 = e21)
% 20.78/5.30 |
% 20.78/5.30 | Simplifying 1558 yields:
% 20.78/5.30 | (732) ~ (all_0_215_215 = e21)
% 20.78/5.30 |
% 20.78/5.30 +-Applying beta-rule and splitting (171), into two cases.
% 20.78/5.30 |-Branch one:
% 20.78/5.30 | (622) all_0_215_215 = e23
% 20.78/5.30 |
% 20.78/5.30 | Equations (622) can reduce 328 to:
% 20.78/5.30 | (526) ~ (all_0_216_216 = e23)
% 20.78/5.30 |
% 20.78/5.30 | Simplifying 526 yields:
% 20.78/5.30 | (527) ~ (all_0_216_216 = e23)
% 20.78/5.30 |
% 20.78/5.30 +-Applying beta-rule and splitting (162), into two cases.
% 20.78/5.30 |-Branch one:
% 20.78/5.30 | (529) all_0_216_216 = e23
% 20.78/5.30 |
% 20.78/5.30 | Equations (529) can reduce 527 to:
% 20.78/5.30 | (508) $false
% 20.78/5.30 |
% 20.78/5.30 |-The branch is then unsatisfiable
% 20.78/5.30 |-Branch two:
% 20.78/5.30 | (527) ~ (all_0_216_216 = e23)
% 20.78/5.30 | (532) all_0_216_216 = e22 | all_0_216_216 = e21
% 20.78/5.30 |
% 20.78/5.30 +-Applying beta-rule and splitting (532), into two cases.
% 20.78/5.30 |-Branch one:
% 20.78/5.30 | (619) all_0_216_216 = e21
% 20.78/5.30 |
% 20.78/5.30 +-Applying beta-rule and splitting (152), into two cases.
% 20.78/5.30 |-Branch one:
% 20.78/5.30 | (812) all_0_226_226 = e12
% 20.78/5.30 |
% 20.78/5.30 | Equations (812) can reduce 362 to:
% 20.78/5.30 | (813) ~ (all_0_227_227 = e12)
% 20.78/5.30 |
% 20.78/5.30 | Simplifying 813 yields:
% 20.78/5.30 | (814) ~ (all_0_227_227 = e12)
% 20.78/5.30 |
% 20.78/5.30 | Equations (812) can reduce 450 to:
% 20.78/5.30 | (815) ~ (all_0_229_229 = e12)
% 20.78/5.30 |
% 20.78/5.30 | Simplifying 815 yields:
% 20.78/5.30 | (816) ~ (all_0_229_229 = e12)
% 20.78/5.30 |
% 20.78/5.30 | From (812) and (335) follows:
% 20.78/5.30 | (817) op1(e11, e12) = e12
% 20.78/5.30 |
% 20.78/5.30 +-Applying beta-rule and splitting (89), into two cases.
% 20.78/5.30 |-Branch one:
% 20.78/5.30 | (822) all_0_224_224 = e12
% 20.78/5.30 |
% 20.78/5.30 | Equations (822) can reduce 448 to:
% 20.78/5.30 | (813) ~ (all_0_227_227 = e12)
% 20.78/5.30 |
% 20.78/5.30 | Simplifying 813 yields:
% 20.78/5.30 | (814) ~ (all_0_227_227 = e12)
% 20.78/5.30 |
% 20.78/5.30 | From (822) and (322) follows:
% 20.78/5.30 | (825) op1(e12, e10) = e12
% 20.78/5.30 |
% 20.78/5.30 +-Applying beta-rule and splitting (390), into two cases.
% 20.78/5.30 |-Branch one:
% 20.78/5.30 | (831) all_0_225_225 = e13
% 20.78/5.30 |
% 20.78/5.30 | Equations (831) can reduce 294 to:
% 20.78/5.30 | (1139) ~ (all_0_227_227 = e13)
% 20.78/5.30 |
% 20.78/5.30 | Simplifying 1139 yields:
% 20.78/5.30 | (1140) ~ (all_0_227_227 = e13)
% 20.78/5.30 |
% 20.78/5.30 | Equations (831) can reduce 490 to:
% 20.78/5.30 | (1158) ~ (all_0_228_228 = e13)
% 20.78/5.30 |
% 20.78/5.30 | Simplifying 1158 yields:
% 20.78/5.30 | (1159) ~ (all_0_228_228 = e13)
% 20.78/5.30 |
% 20.78/5.30 +-Applying beta-rule and splitting (369), into two cases.
% 20.78/5.30 |-Branch one:
% 20.78/5.30 | (818) all_0_228_228 = e12
% 20.78/5.30 |
% 20.78/5.30 | Equations (818) can reduce 111 to:
% 20.78/5.30 | (823) ~ (all_0_222_222 = e12)
% 20.78/5.30 |
% 20.78/5.30 | Equations (818) can reduce 104 to:
% 20.78/5.30 | (815) ~ (all_0_229_229 = e12)
% 20.78/5.30 |
% 20.78/5.30 | Simplifying 815 yields:
% 20.78/5.30 | (816) ~ (all_0_229_229 = e12)
% 20.78/5.30 |
% 20.78/5.30 | Equations (818) can reduce 1159 to:
% 20.78/5.30 | (1372) ~ (e13 = e12)
% 20.78/5.30 |
% 20.78/5.30 | Simplifying 1372 yields:
% 20.78/5.30 | (112) ~ (e13 = e12)
% 20.78/5.30 |
% 20.78/5.30 | From (818) and (13) follows:
% 20.78/5.30 | (821) op1(e10, e13) = e12
% 20.78/5.30 |
% 20.78/5.30 +-Applying beta-rule and splitting (163), into two cases.
% 20.78/5.30 |-Branch one:
% 20.78/5.30 | (795) all_0_220_220 = e13
% 20.78/5.30 |
% 20.78/5.30 | Combining equations (852,795) yields a new equation:
% 20.78/5.30 | (853) e13 = e11
% 20.78/5.30 |
% 20.78/5.30 | Equations (853) can reduce 40 to:
% 20.78/5.30 | (508) $false
% 20.78/5.30 |
% 20.78/5.30 |-The branch is then unsatisfiable
% 20.78/5.30 |-Branch two:
% 20.78/5.30 | (1135) ~ (all_0_220_220 = e13)
% 20.78/5.30 | (1594) all_0_226_226 = e13 | all_0_229_229 = e13
% 20.78/5.30 |
% 20.78/5.30 | Equations (852) can reduce 1135 to:
% 20.78/5.30 | (792) ~ (e13 = e11)
% 20.78/5.30 |
% 20.78/5.30 | Simplifying 792 yields:
% 20.78/5.30 | (40) ~ (e13 = e11)
% 20.78/5.30 |
% 20.78/5.30 +-Applying beta-rule and splitting (342), into two cases.
% 20.78/5.30 |-Branch one:
% 20.78/5.30 | (849) all_0_225_225 = e11
% 20.78/5.30 |
% 20.78/5.30 | Combining equations (831,849) yields a new equation:
% 20.78/5.30 | (934) e13 = e11
% 20.78/5.30 |
% 20.78/5.30 | Simplifying 934 yields:
% 20.78/5.30 | (853) e13 = e11
% 20.78/5.30 |
% 20.78/5.30 | Equations (853) can reduce 40 to:
% 20.78/5.30 | (508) $false
% 20.78/5.30 |
% 20.78/5.30 |-The branch is then unsatisfiable
% 20.78/5.30 |-Branch two:
% 20.78/5.30 | (907) ~ (all_0_225_225 = e11)
% 20.78/5.30 | (908) all_0_226_226 = e11 | all_0_227_227 = e11
% 20.78/5.30 |
% 20.78/5.30 +-Applying beta-rule and splitting (124), into two cases.
% 20.78/5.30 |-Branch one:
% 20.78/5.30 | (1376) all_0_228_228 = e13
% 20.78/5.30 |
% 20.78/5.31 | Combining equations (1376,818) yields a new equation:
% 20.78/5.31 | (987) e13 = e12
% 20.78/5.31 |
% 20.78/5.31 | Simplifying 987 yields:
% 20.78/5.31 | (843) e13 = e12
% 20.78/5.31 |
% 20.78/5.31 | Equations (843) can reduce 112 to:
% 20.78/5.31 | (508) $false
% 20.78/5.31 |
% 20.78/5.31 |-The branch is then unsatisfiable
% 20.78/5.31 |-Branch two:
% 20.78/5.31 | (1159) ~ (all_0_228_228 = e13)
% 20.78/5.31 | (1414) all_0_229_229 = e13 | all_0_230_230 = e13
% 20.78/5.31 |
% 20.78/5.31 +-Applying beta-rule and splitting (319), into two cases.
% 20.78/5.31 |-Branch one:
% 20.78/5.31 | (943) all_0_222_222 = e11
% 20.78/5.31 |
% 20.78/5.31 | Equations (943) can reduce 823 to:
% 20.78/5.31 | (810) ~ (e12 = e11)
% 20.78/5.31 |
% 20.78/5.31 | Simplifying 810 yields:
% 20.78/5.31 | (266) ~ (e12 = e11)
% 20.78/5.31 |
% 20.78/5.31 | From (943) and (391) follows:
% 20.78/5.31 | (1612) op1(e12, e13) = e11
% 20.78/5.31 |
% 20.78/5.31 +-Applying beta-rule and splitting (149), into two cases.
% 20.78/5.31 |-Branch one:
% 20.78/5.31 | (846) all_0_227_227 = e13
% 20.78/5.31 |
% 20.78/5.31 | Equations (846) can reduce 1140 to:
% 20.78/5.31 | (508) $false
% 20.78/5.31 |
% 20.78/5.31 |-The branch is then unsatisfiable
% 20.78/5.31 |-Branch two:
% 20.78/5.31 | (1140) ~ (all_0_227_227 = e13)
% 20.78/5.31 | (1435) all_0_227_227 = e12 | all_0_227_227 = e11
% 20.78/5.31 |
% 20.78/5.31 +-Applying beta-rule and splitting (249), into two cases.
% 20.78/5.31 |-Branch one:
% 20.78/5.31 | (914) all_0_229_229 = e13
% 20.78/5.31 |
% 20.78/5.31 | Equations (914) can reduce 816 to:
% 20.78/5.31 | (112) ~ (e13 = e12)
% 20.78/5.31 |
% 20.78/5.31 | Equations (914) can reduce 903 to:
% 20.78/5.31 | (40) ~ (e13 = e11)
% 20.78/5.31 |
% 20.78/5.31 | From (914) and (290) follows:
% 20.78/5.31 | (1620) op1(e10, e12) = e13
% 20.78/5.31 |
% 20.78/5.31 +-Applying beta-rule and splitting (445), into two cases.
% 20.78/5.31 |-Branch one:
% 20.78/5.31 | (803) all_0_221_221 = e11
% 20.78/5.31 |
% 20.78/5.31 | Combining equations (803,800) yields a new equation:
% 20.78/5.31 | (853) e13 = e11
% 20.78/5.31 |
% 20.78/5.31 | Equations (853) can reduce 40 to:
% 20.78/5.31 | (508) $false
% 20.78/5.31 |
% 20.78/5.31 |-The branch is then unsatisfiable
% 20.78/5.31 |-Branch two:
% 20.78/5.31 | (1146) ~ (all_0_221_221 = e11)
% 20.78/5.31 | (1147) all_0_224_224 = e11 | all_0_227_227 = e11
% 20.78/5.31 |
% 20.78/5.31 +-Applying beta-rule and splitting (1147), into two cases.
% 20.78/5.31 |-Branch one:
% 20.78/5.31 | (1102) all_0_224_224 = e11
% 20.78/5.31 |
% 20.78/5.31 | Combining equations (1102,822) yields a new equation:
% 20.78/5.31 | (837) e12 = e11
% 20.78/5.31 |
% 20.78/5.31 | Equations (837) can reduce 266 to:
% 20.78/5.31 | (508) $false
% 20.78/5.31 |
% 20.78/5.31 |-The branch is then unsatisfiable
% 20.78/5.31 |-Branch two:
% 20.78/5.31 | (791) ~ (all_0_224_224 = e11)
% 20.78/5.31 | (933) all_0_227_227 = e11
% 20.78/5.31 |
% 20.78/5.31 | Equations (933) can reduce 423 to:
% 20.78/5.31 | (175) ~ (e11 = e10)
% 20.78/5.31 |
% 20.78/5.31 +-Applying beta-rule and splitting (375), into two cases.
% 20.78/5.31 |-Branch one:
% 20.78/5.31 | (862) unit1 = e13
% 20.78/5.31 |
% 20.78/5.31 | From (862) and (54) follows:
% 20.78/5.31 | (865) op1(e12, e13) = e12
% 20.78/5.31 |
% 20.78/5.31 | From (862) and (145) follows:
% 20.78/5.31 | (1382) op1(e10, e13) = e10
% 20.78/5.31 |
% 20.78/5.31 | Instantiating formula (487) with e12, e13, e12, e11 and discharging atoms op1(e12, e13) = e12, op1(e12, e13) = e11, yields:
% 20.78/5.31 | (837) e12 = e11
% 20.78/5.31 |
% 20.78/5.31 | Instantiating formula (487) with e10, e13, e10, e12 and discharging atoms op1(e10, e13) = e12, op1(e10, e13) = e10, yields:
% 20.78/5.31 | (869) e12 = e10
% 20.78/5.31 |
% 20.78/5.31 | Combining equations (837,869) yields a new equation:
% 20.78/5.31 | (870) e11 = e10
% 20.78/5.31 |
% 20.78/5.31 | Simplifying 870 yields:
% 20.78/5.31 | (871) e11 = e10
% 20.78/5.31 |
% 20.78/5.31 | Equations (871) can reduce 175 to:
% 20.78/5.31 | (508) $false
% 20.78/5.31 |
% 20.78/5.31 |-The branch is then unsatisfiable
% 20.78/5.31 |-Branch two:
% 20.78/5.31 | (873) ~ (unit1 = e13)
% 20.78/5.31 | (874) unit1 = e12 | unit1 = e11 | unit1 = e10
% 20.78/5.31 |
% 20.78/5.31 +-Applying beta-rule and splitting (874), into two cases.
% 20.78/5.31 |-Branch one:
% 20.78/5.31 | (875) unit1 = e11
% 20.78/5.31 |
% 20.78/5.31 | From (875) and (145) follows:
% 20.78/5.31 | (878) op1(e10, e11) = e10
% 20.78/5.31 |
% 20.78/5.31 | Instantiating formula (487) with e10, e11, e10, e11 and discharging atoms op1(e10, e11) = e11, op1(e10, e11) = e10, yields:
% 20.78/5.31 | (871) e11 = e10
% 20.78/5.31 |
% 20.78/5.31 | Equations (871) can reduce 175 to:
% 20.78/5.31 | (508) $false
% 20.78/5.31 |
% 20.78/5.31 |-The branch is then unsatisfiable
% 20.78/5.31 |-Branch two:
% 20.78/5.31 | (886) ~ (unit1 = e11)
% 20.78/5.31 | (887) unit1 = e12 | unit1 = e10
% 20.78/5.31 |
% 20.78/5.31 +-Applying beta-rule and splitting (887), into two cases.
% 20.78/5.31 |-Branch one:
% 20.78/5.31 | (888) unit1 = e12
% 20.78/5.31 |
% 20.78/5.31 | From (888) and (376) follows:
% 20.78/5.31 | (889) op1(e12, e10) = e10
% 20.78/5.31 |
% 20.78/5.31 | From (888) and (2) follows:
% 20.78/5.31 | (890) op1(e11, e12) = e11
% 20.78/5.31 |
% 20.78/5.31 | Instantiating formula (487) with e12, e10, e10, e12 and discharging atoms op1(e12, e10) = e12, op1(e12, e10) = e10, yields:
% 20.78/5.31 | (869) e12 = e10
% 20.78/5.31 |
% 20.78/5.31 | Instantiating formula (487) with e11, e12, e11, e12 and discharging atoms op1(e11, e12) = e12, op1(e11, e12) = e11, yields:
% 20.78/5.31 | (837) e12 = e11
% 20.78/5.31 |
% 20.78/5.31 | Combining equations (869,837) yields a new equation:
% 20.78/5.31 | (871) e11 = e10
% 20.78/5.32 |
% 20.78/5.32 | Equations (871) can reduce 175 to:
% 20.78/5.32 | (508) $false
% 20.78/5.32 |
% 20.78/5.32 |-The branch is then unsatisfiable
% 20.78/5.32 |-Branch two:
% 20.78/5.32 | (895) ~ (unit1 = e12)
% 20.78/5.32 | (896) unit1 = e10
% 20.78/5.32 |
% 20.78/5.32 | From (896) and (331) follows:
% 20.78/5.32 | (960) op1(e10, e12) = e12
% 20.78/5.32 |
% 20.78/5.32 | Instantiating formula (487) with e10, e12, e12, e13 and discharging atoms op1(e10, e12) = e13, op1(e10, e12) = e12, yields:
% 20.78/5.32 | (843) e13 = e12
% 20.78/5.32 |
% 20.78/5.32 | Equations (843) can reduce 112 to:
% 20.78/5.32 | (508) $false
% 20.78/5.32 |
% 20.78/5.32 |-The branch is then unsatisfiable
% 20.78/5.32 |-Branch two:
% 20.78/5.32 | (799) ~ (all_0_229_229 = e13)
% 20.78/5.32 | (917) all_0_229_229 = e12 | all_0_229_229 = e11
% 20.78/5.32 |
% 20.78/5.32 +-Applying beta-rule and splitting (908), into two cases.
% 20.78/5.32 |-Branch one:
% 20.78/5.32 | (918) all_0_226_226 = e11
% 20.78/5.32 |
% 20.78/5.32 | Combining equations (918,812) yields a new equation:
% 20.78/5.32 | (837) e12 = e11
% 20.78/5.32 |
% 20.78/5.32 | Equations (837) can reduce 266 to:
% 20.78/5.32 | (508) $false
% 20.78/5.32 |
% 20.78/5.32 |-The branch is then unsatisfiable
% 20.78/5.32 |-Branch two:
% 20.78/5.32 | (922) ~ (all_0_226_226 = e11)
% 20.78/5.32 | (933) all_0_227_227 = e11
% 20.78/5.32 |
% 20.78/5.32 | Equations (933) can reduce 1140 to:
% 20.78/5.32 | (792) ~ (e13 = e11)
% 20.78/5.32 |
% 20.78/5.32 | Simplifying 792 yields:
% 20.78/5.32 | (40) ~ (e13 = e11)
% 20.78/5.32 |
% 20.78/5.32 +-Applying beta-rule and splitting (1414), into two cases.
% 20.78/5.32 |-Branch one:
% 20.78/5.32 | (914) all_0_229_229 = e13
% 20.78/5.32 |
% 20.78/5.32 | Equations (914) can reduce 799 to:
% 20.78/5.32 | (508) $false
% 20.78/5.32 |
% 20.78/5.32 |-The branch is then unsatisfiable
% 20.78/5.32 |-Branch two:
% 20.78/5.32 | (799) ~ (all_0_229_229 = e13)
% 20.78/5.32 | (782) all_0_230_230 = e13
% 20.78/5.32 |
% 20.78/5.32 | Combining equations (782,904) yields a new equation:
% 20.78/5.32 | (934) e13 = e11
% 20.78/5.32 |
% 20.78/5.32 | Simplifying 934 yields:
% 20.78/5.32 | (853) e13 = e11
% 20.78/5.32 |
% 20.78/5.32 | Equations (853) can reduce 40 to:
% 20.78/5.32 | (508) $false
% 20.78/5.32 |
% 20.78/5.32 |-The branch is then unsatisfiable
% 20.78/5.32 |-Branch two:
% 20.78/5.32 | (789) ~ (all_0_222_222 = e11)
% 20.78/5.32 | (946) all_0_225_225 = e11 | all_0_228_228 = e11
% 20.78/5.32 |
% 20.78/5.32 +-Applying beta-rule and splitting (149), into two cases.
% 20.78/5.32 |-Branch one:
% 20.78/5.32 | (846) all_0_227_227 = e13
% 20.78/5.32 |
% 20.78/5.32 | Equations (846) can reduce 1140 to:
% 20.78/5.32 | (508) $false
% 20.78/5.32 |
% 20.78/5.32 |-The branch is then unsatisfiable
% 20.78/5.32 |-Branch two:
% 20.78/5.32 | (1140) ~ (all_0_227_227 = e13)
% 20.78/5.32 | (1435) all_0_227_227 = e12 | all_0_227_227 = e11
% 20.78/5.32 |
% 20.78/5.32 +-Applying beta-rule and splitting (1435), into two cases.
% 20.78/5.32 |-Branch one:
% 20.78/5.32 | (933) all_0_227_227 = e11
% 20.78/5.32 |
% 20.78/5.32 | Equations (933) can reduce 1140 to:
% 20.78/5.32 | (792) ~ (e13 = e11)
% 20.78/5.32 |
% 20.78/5.32 | Simplifying 792 yields:
% 20.78/5.32 | (40) ~ (e13 = e11)
% 20.78/5.32 |
% 20.78/5.32 | Equations (933) can reduce 814 to:
% 20.78/5.32 | (810) ~ (e12 = e11)
% 20.78/5.32 |
% 20.78/5.32 | Simplifying 810 yields:
% 20.78/5.32 | (266) ~ (e12 = e11)
% 20.78/5.32 |
% 20.78/5.32 +-Applying beta-rule and splitting (946), into two cases.
% 20.78/5.32 |-Branch one:
% 20.78/5.32 | (849) all_0_225_225 = e11
% 20.78/5.32 |
% 20.78/5.32 | Combining equations (849,831) yields a new equation:
% 20.78/5.32 | (853) e13 = e11
% 20.78/5.32 |
% 20.78/5.32 | Equations (853) can reduce 40 to:
% 20.78/5.32 | (508) $false
% 20.78/5.32 |
% 20.78/5.32 |-The branch is then unsatisfiable
% 20.78/5.32 |-Branch two:
% 20.78/5.32 | (907) ~ (all_0_225_225 = e11)
% 20.78/5.32 | (835) all_0_228_228 = e11
% 20.78/5.32 |
% 20.78/5.32 | Combining equations (835,818) yields a new equation:
% 20.78/5.32 | (837) e12 = e11
% 20.78/5.32 |
% 20.78/5.32 | Equations (837) can reduce 266 to:
% 20.78/5.32 | (508) $false
% 20.78/5.32 |
% 20.78/5.32 |-The branch is then unsatisfiable
% 20.78/5.32 |-Branch two:
% 20.78/5.32 | (807) ~ (all_0_227_227 = e11)
% 20.78/5.32 | (953) all_0_227_227 = e12
% 20.78/5.32 |
% 20.78/5.32 | Equations (953) can reduce 814 to:
% 20.78/5.32 | (508) $false
% 20.78/5.32 |
% 20.78/5.32 |-The branch is then unsatisfiable
% 20.78/5.32 |-Branch two:
% 20.78/5.32 | (955) ~ (all_0_228_228 = e12)
% 20.78/5.32 | (956) all_0_229_229 = e12
% 20.78/5.32 |
% 20.78/5.33 | Equations (956) can reduce 816 to:
% 20.78/5.33 | (508) $false
% 20.78/5.33 |
% 20.78/5.33 |-The branch is then unsatisfiable
% 20.78/5.33 |-Branch two:
% 20.78/5.33 | (828) ~ (all_0_225_225 = e13)
% 20.78/5.33 | (834) all_0_226_226 = e13 | all_0_227_227 = e13
% 20.78/5.33 |
% 20.78/5.33 +-Applying beta-rule and splitting (369), into two cases.
% 20.78/5.33 |-Branch one:
% 20.78/5.33 | (818) all_0_228_228 = e12
% 20.78/5.33 |
% 20.78/5.33 | Equations (818) can reduce 104 to:
% 20.78/5.33 | (815) ~ (all_0_229_229 = e12)
% 20.78/5.33 |
% 20.78/5.33 | Simplifying 815 yields:
% 20.78/5.33 | (816) ~ (all_0_229_229 = e12)
% 20.78/5.33 |
% 20.78/5.33 +-Applying beta-rule and splitting (177), into two cases.
% 20.78/5.33 |-Branch one:
% 20.78/5.33 | (826) all_0_222_222 = e13
% 20.78/5.33 |
% 20.78/5.33 | Equations (826) can reduce 937 to:
% 20.78/5.33 | (508) $false
% 20.78/5.33 |
% 20.78/5.33 |-The branch is then unsatisfiable
% 20.78/5.33 |-Branch two:
% 20.78/5.33 | (937) ~ (all_0_222_222 = e13)
% 20.78/5.33 | (1708) all_0_225_225 = e13 | all_0_228_228 = e13
% 20.78/5.33 |
% 20.78/5.33 +-Applying beta-rule and splitting (249), into two cases.
% 20.78/5.33 |-Branch one:
% 20.78/5.33 | (914) all_0_229_229 = e13
% 20.78/5.33 |
% 20.78/5.33 | Equations (914) can reduce 816 to:
% 20.78/5.33 | (112) ~ (e13 = e12)
% 20.78/5.33 |
% 20.78/5.33 +-Applying beta-rule and splitting (1708), into two cases.
% 20.78/5.33 |-Branch one:
% 20.78/5.33 | (831) all_0_225_225 = e13
% 20.78/5.33 |
% 20.78/5.33 | Equations (831) can reduce 828 to:
% 20.78/5.33 | (508) $false
% 20.78/5.33 |
% 20.78/5.33 |-The branch is then unsatisfiable
% 20.78/5.33 |-Branch two:
% 20.78/5.33 | (828) ~ (all_0_225_225 = e13)
% 20.78/5.33 | (1376) all_0_228_228 = e13
% 20.78/5.33 |
% 20.78/5.33 | Combining equations (818,1376) yields a new equation:
% 20.78/5.33 | (843) e13 = e12
% 20.78/5.33 |
% 20.78/5.33 | Equations (843) can reduce 112 to:
% 20.78/5.33 | (508) $false
% 20.78/5.33 |
% 20.78/5.33 |-The branch is then unsatisfiable
% 20.78/5.33 |-Branch two:
% 20.78/5.33 | (799) ~ (all_0_229_229 = e13)
% 20.78/5.33 | (917) all_0_229_229 = e12 | all_0_229_229 = e11
% 20.78/5.33 |
% 20.78/5.33 +-Applying beta-rule and splitting (917), into two cases.
% 20.78/5.33 |-Branch one:
% 20.78/5.33 | (858) all_0_229_229 = e11
% 20.78/5.33 |
% 20.78/5.33 | Equations (858) can reduce 903 to:
% 20.78/5.33 | (508) $false
% 20.78/5.33 |
% 20.78/5.33 |-The branch is then unsatisfiable
% 20.78/5.33 |-Branch two:
% 20.78/5.33 | (903) ~ (all_0_229_229 = e11)
% 20.78/5.33 | (956) all_0_229_229 = e12
% 20.78/5.33 |
% 20.78/5.33 | Equations (956) can reduce 816 to:
% 20.78/5.33 | (508) $false
% 20.78/5.33 |
% 20.78/5.33 |-The branch is then unsatisfiable
% 20.78/5.33 |-Branch two:
% 20.78/5.33 | (955) ~ (all_0_228_228 = e12)
% 20.78/5.33 | (956) all_0_229_229 = e12
% 20.78/5.33 |
% 20.78/5.33 | Equations (956) can reduce 816 to:
% 20.78/5.33 | (508) $false
% 20.78/5.33 |
% 20.78/5.33 |-The branch is then unsatisfiable
% 20.78/5.33 |-Branch two:
% 20.78/5.33 | (952) ~ (all_0_224_224 = e12)
% 20.78/5.33 | (953) all_0_227_227 = e12
% 20.78/5.33 |
% 20.78/5.33 | Equations (953) can reduce 814 to:
% 20.78/5.33 | (508) $false
% 20.78/5.33 |
% 20.78/5.33 |-The branch is then unsatisfiable
% 20.78/5.33 |-Branch two:
% 20.78/5.33 | (958) ~ (all_0_226_226 = e12)
% 20.78/5.33 | (956) all_0_229_229 = e12
% 20.78/5.33 |
% 20.78/5.33 | Equations (956) can reduce 903 to:
% 20.78/5.33 | (266) ~ (e12 = e11)
% 20.78/5.33 |
% 20.78/5.33 | From (956) and (290) follows:
% 20.78/5.33 | (960) op1(e10, e12) = e12
% 20.78/5.33 |
% 20.78/5.33 | From (956) and (55) follows:
% 20.78/5.33 | (1734) h6(e12) = all_0_117_117
% 20.78/5.33 |
% 20.78/5.33 +-Applying beta-rule and splitting (163), into two cases.
% 20.78/5.33 |-Branch one:
% 20.78/5.33 | (795) all_0_220_220 = e13
% 20.78/5.33 |
% 20.78/5.33 | Combining equations (795,852) yields a new equation:
% 20.78/5.33 | (934) e13 = e11
% 20.78/5.33 |
% 20.78/5.33 | Simplifying 934 yields:
% 20.78/5.33 | (853) e13 = e11
% 20.78/5.33 |
% 20.78/5.33 | Equations (853) can reduce 40 to:
% 20.78/5.33 | (508) $false
% 20.78/5.33 |
% 20.78/5.33 |-The branch is then unsatisfiable
% 20.78/5.33 |-Branch two:
% 20.78/5.33 | (1135) ~ (all_0_220_220 = e13)
% 20.78/5.33 | (1594) all_0_226_226 = e13 | all_0_229_229 = e13
% 20.78/5.33 |
% 20.78/5.33 +-Applying beta-rule and splitting (1594), into two cases.
% 20.78/5.33 |-Branch one:
% 20.78/5.33 | (842) all_0_226_226 = e13
% 20.78/5.33 |
% 20.78/5.33 | Equations (842) can reduce 69 to:
% 20.78/5.33 | (828) ~ (all_0_225_225 = e13)
% 20.78/5.33 |
% 20.78/5.33 | Equations (842) can reduce 362 to:
% 20.78/5.33 | (1139) ~ (all_0_227_227 = e13)
% 20.78/5.33 |
% 20.78/5.34 | Simplifying 1139 yields:
% 20.78/5.34 | (1140) ~ (all_0_227_227 = e13)
% 20.78/5.34 |
% 20.78/5.34 | From (842) and (335) follows:
% 20.78/5.34 | (1169) op1(e11, e12) = e13
% 20.78/5.34 |
% 20.78/5.34 | From (842) and (399) follows:
% 20.78/5.34 | (1746) h6(e13) = all_0_114_114
% 20.78/5.34 |
% 20.78/5.34 +-Applying beta-rule and splitting (177), into two cases.
% 20.78/5.34 |-Branch one:
% 20.78/5.34 | (826) all_0_222_222 = e13
% 20.78/5.34 |
% 20.78/5.34 | Equations (826) can reduce 937 to:
% 20.78/5.34 | (508) $false
% 20.78/5.34 |
% 20.78/5.34 |-The branch is then unsatisfiable
% 20.78/5.34 |-Branch two:
% 20.78/5.34 | (937) ~ (all_0_222_222 = e13)
% 20.78/5.34 | (1708) all_0_225_225 = e13 | all_0_228_228 = e13
% 20.78/5.34 |
% 20.78/5.34 +-Applying beta-rule and splitting (1708), into two cases.
% 20.78/5.34 |-Branch one:
% 20.78/5.34 | (831) all_0_225_225 = e13
% 20.78/5.34 |
% 20.78/5.34 | Equations (831) can reduce 828 to:
% 20.78/5.34 | (508) $false
% 20.78/5.34 |
% 20.78/5.34 |-The branch is then unsatisfiable
% 20.78/5.34 |-Branch two:
% 20.78/5.34 | (828) ~ (all_0_225_225 = e13)
% 20.78/5.34 | (1376) all_0_228_228 = e13
% 20.78/5.34 |
% 20.78/5.34 | Equations (1376) can reduce 111 to:
% 20.78/5.34 | (937) ~ (all_0_222_222 = e13)
% 20.78/5.34 |
% 20.78/5.34 | Equations (1376) can reduce 839 to:
% 20.78/5.34 | (40) ~ (e13 = e11)
% 20.78/5.34 |
% 20.78/5.34 | From (1376) and (293) follows:
% 20.78/5.34 | (1757) h6(e13) = all_0_116_116
% 20.78/5.34 |
% 20.78/5.34 | Instantiating formula (268) with e13, all_0_114_114, e23 and discharging atoms h6(e13) = all_0_114_114, h6(e13) = e23, yields:
% 20.78/5.34 | (1758) all_0_114_114 = e23
% 20.78/5.34 |
% 20.78/5.34 | Instantiating formula (268) with e13, all_0_116_116, all_0_114_114 and discharging atoms h6(e13) = all_0_114_114, h6(e13) = all_0_116_116, yields:
% 20.78/5.34 | (1759) all_0_114_114 = all_0_116_116
% 20.78/5.34 |
% 20.78/5.34 | Instantiating formula (268) with e12, all_0_117_117, e22 and discharging atoms h6(e12) = all_0_117_117, h6(e12) = e22, yields:
% 20.78/5.34 | (1760) all_0_117_117 = e22
% 20.78/5.34 |
% 20.78/5.34 | Combining equations (1759,1758) yields a new equation:
% 20.78/5.34 | (1761) all_0_116_116 = e23
% 20.78/5.34 |
% 20.78/5.34 | Simplifying 1761 yields:
% 20.78/5.34 | (1762) all_0_116_116 = e23
% 20.78/5.34 |
% 20.78/5.34 | From (1760) and (1734) follows:
% 20.78/5.34 | (71) h6(e12) = e22
% 20.78/5.34 |
% 20.78/5.34 +-Applying beta-rule and splitting (70), into two cases.
% 20.78/5.34 |-Branch one:
% 20.78/5.34 | (950) all_0_222_222 = e12
% 20.78/5.34 |
% 20.78/5.34 | Equations (950) can reduce 482 to:
% 20.78/5.34 | (1051) ~ (all_0_224_224 = e12)
% 20.78/5.34 |
% 20.78/5.34 | Simplifying 1051 yields:
% 20.78/5.34 | (952) ~ (all_0_224_224 = e12)
% 20.78/5.34 |
% 20.78/5.34 | From (950) and (391) follows:
% 20.78/5.34 | (865) op1(e12, e13) = e12
% 20.78/5.34 |
% 20.78/5.34 +-Applying beta-rule and splitting (89), into two cases.
% 20.78/5.34 |-Branch one:
% 20.78/5.34 | (822) all_0_224_224 = e12
% 20.78/5.34 |
% 20.78/5.34 | Equations (822) can reduce 952 to:
% 20.78/5.34 | (508) $false
% 20.78/5.34 |
% 20.78/5.34 |-The branch is then unsatisfiable
% 20.78/5.34 |-Branch two:
% 20.78/5.34 | (952) ~ (all_0_224_224 = e12)
% 20.78/5.34 | (953) all_0_227_227 = e12
% 20.78/5.34 |
% 20.78/5.34 | Equations (953) can reduce 448 to:
% 20.78/5.34 | (952) ~ (all_0_224_224 = e12)
% 20.78/5.34 |
% 20.78/5.34 | From (953) and (259) follows:
% 20.78/5.34 | (1773) op1(e11, e10) = e12
% 20.78/5.34 |
% 20.78/5.34 +-Applying beta-rule and splitting (342), into two cases.
% 20.78/5.34 |-Branch one:
% 20.78/5.34 | (849) all_0_225_225 = e11
% 20.78/5.34 |
% 20.78/5.34 | From (849) and (393) follows:
% 20.78/5.34 | (1001) op1(e11, e13) = e11
% 20.78/5.34 |
% 20.78/5.34 +-Applying beta-rule and splitting (383), into two cases.
% 20.78/5.34 |-Branch one:
% 20.78/5.34 | (1060) all_0_224_224 = e13
% 20.78/5.34 |
% 20.78/5.34 | Equations (1060) can reduce 1100 to:
% 20.78/5.34 | (508) $false
% 20.78/5.34 |
% 20.78/5.34 |-The branch is then unsatisfiable
% 20.78/5.34 |-Branch two:
% 20.78/5.34 | (1100) ~ (all_0_224_224 = e13)
% 20.78/5.34 | (1101) all_0_224_224 = e12 | all_0_224_224 = e11
% 20.78/5.34 |
% 20.78/5.34 +-Applying beta-rule and splitting (1101), into two cases.
% 20.78/5.34 |-Branch one:
% 20.78/5.34 | (1102) all_0_224_224 = e11
% 20.78/5.34 |
% 20.78/5.34 | Equations (1102) can reduce 952 to:
% 20.78/5.34 | (810) ~ (e12 = e11)
% 20.78/5.34 |
% 20.78/5.34 | Simplifying 810 yields:
% 20.78/5.34 | (266) ~ (e12 = e11)
% 20.78/5.34 |
% 20.78/5.34 | Equations (1102) can reduce 325 to:
% 20.78/5.34 | (175) ~ (e11 = e10)
% 20.78/5.34 |
% 20.78/5.34 +-Applying beta-rule and splitting (375), into two cases.
% 20.78/5.34 |-Branch one:
% 20.78/5.34 | (862) unit1 = e13
% 20.78/5.34 |
% 20.78/5.34 | From (862) and (53) follows:
% 20.78/5.34 | (863) op1(e13, e11) = e11
% 20.78/5.34 |
% 20.78/5.34 | Instantiating formula (487) with e13, e11, e11, e12 and discharging atoms op1(e13, e11) = e12, op1(e13, e11) = e11, yields:
% 20.78/5.34 | (837) e12 = e11
% 20.78/5.34 |
% 20.78/5.34 | Equations (837) can reduce 266 to:
% 20.78/5.34 | (508) $false
% 20.78/5.34 |
% 20.78/5.34 |-The branch is then unsatisfiable
% 20.78/5.34 |-Branch two:
% 20.78/5.34 | (873) ~ (unit1 = e13)
% 20.78/5.34 | (874) unit1 = e12 | unit1 = e11 | unit1 = e10
% 20.78/5.34 |
% 20.78/5.34 +-Applying beta-rule and splitting (874), into two cases.
% 20.78/5.34 |-Branch one:
% 20.78/5.34 | (875) unit1 = e11
% 20.78/5.34 |
% 20.78/5.34 | From (875) and (74) follows:
% 20.78/5.34 | (1011) op1(e11, e13) = e13
% 20.78/5.34 |
% 20.78/5.34 | From (875) and (331) follows:
% 20.78/5.34 | (817) op1(e11, e12) = e12
% 20.78/5.34 |
% 20.78/5.34 | From (875) and (376) follows:
% 20.78/5.34 | (1394) op1(e11, e10) = e10
% 20.78/5.34 |
% 20.78/5.34 | Instantiating formula (487) with e11, e13, e13, e11 and discharging atoms op1(e11, e13) = e13, op1(e11, e13) = e11, yields:
% 20.78/5.34 | (853) e13 = e11
% 20.78/5.34 |
% 20.78/5.34 | Instantiating formula (487) with e11, e12, e12, e13 and discharging atoms op1(e11, e12) = e13, op1(e11, e12) = e12, yields:
% 20.78/5.34 | (843) e13 = e12
% 20.78/5.34 |
% 20.78/5.34 | Instantiating formula (487) with e11, e10, e10, e12 and discharging atoms op1(e11, e10) = e12, op1(e11, e10) = e10, yields:
% 20.78/5.34 | (869) e12 = e10
% 20.78/5.34 |
% 20.78/5.34 | Combining equations (843,853) yields a new equation:
% 20.78/5.34 | (836) e12 = e11
% 20.78/5.34 |
% 20.78/5.34 | Simplifying 836 yields:
% 20.78/5.34 | (837) e12 = e11
% 20.78/5.34 |
% 20.78/5.34 | Combining equations (837,869) yields a new equation:
% 20.78/5.34 | (870) e11 = e10
% 20.78/5.34 |
% 20.78/5.34 | Simplifying 870 yields:
% 20.78/5.34 | (871) e11 = e10
% 20.78/5.34 |
% 20.78/5.34 | Equations (871) can reduce 175 to:
% 20.78/5.34 | (508) $false
% 20.78/5.34 |
% 20.78/5.34 |-The branch is then unsatisfiable
% 20.78/5.34 |-Branch two:
% 20.78/5.34 | (886) ~ (unit1 = e11)
% 20.78/5.34 | (887) unit1 = e12 | unit1 = e10
% 20.78/5.34 |
% 20.78/5.34 +-Applying beta-rule and splitting (887), into two cases.
% 20.78/5.34 |-Branch one:
% 20.78/5.34 | (888) unit1 = e12
% 20.78/5.34 |
% 20.78/5.34 | From (888) and (74) follows:
% 20.78/5.34 | (830) op1(e12, e13) = e13
% 20.78/5.34 |
% 20.78/5.34 | From (888) and (2) follows:
% 20.78/5.34 | (890) op1(e11, e12) = e11
% 20.78/5.34 |
% 20.78/5.34 | From (888) and (145) follows:
% 20.78/5.34 | (1024) op1(e10, e12) = e10
% 20.78/5.35 |
% 20.78/5.35 | Instantiating formula (487) with e12, e13, e13, e12 and discharging atoms op1(e12, e13) = e13, op1(e12, e13) = e12, yields:
% 20.78/5.35 | (843) e13 = e12
% 20.78/5.35 |
% 20.78/5.35 | Instantiating formula (487) with e11, e12, e11, e13 and discharging atoms op1(e11, e12) = e13, op1(e11, e12) = e11, yields:
% 20.78/5.35 | (853) e13 = e11
% 20.78/5.35 |
% 20.78/5.35 | Instantiating formula (487) with e10, e12, e10, e12 and discharging atoms op1(e10, e12) = e12, op1(e10, e12) = e10, yields:
% 20.78/5.35 | (869) e12 = e10
% 20.78/5.35 |
% 20.78/5.35 | Combining equations (853,843) yields a new equation:
% 20.78/5.35 | (837) e12 = e11
% 20.78/5.35 |
% 20.78/5.35 | Combining equations (837,869) yields a new equation:
% 20.78/5.35 | (870) e11 = e10
% 20.78/5.35 |
% 20.78/5.35 | Simplifying 870 yields:
% 20.78/5.35 | (871) e11 = e10
% 20.78/5.35 |
% 20.78/5.35 | Equations (871) can reduce 175 to:
% 20.78/5.35 | (508) $false
% 20.78/5.35 |
% 20.78/5.35 |-The branch is then unsatisfiable
% 20.78/5.35 |-Branch two:
% 20.78/5.35 | (895) ~ (unit1 = e12)
% 20.78/5.35 | (896) unit1 = e10
% 20.78/5.35 |
% 20.78/5.35 | From (896) and (2) follows:
% 20.78/5.35 | (1410) op1(e11, e10) = e11
% 20.78/5.35 |
% 20.78/5.35 | Instantiating formula (487) with e11, e10, e11, e12 and discharging atoms op1(e11, e10) = e12, op1(e11, e10) = e11, yields:
% 20.78/5.35 | (837) e12 = e11
% 20.78/5.35 |
% 20.78/5.35 | Equations (837) can reduce 266 to:
% 20.78/5.35 | (508) $false
% 20.78/5.35 |
% 20.78/5.35 |-The branch is then unsatisfiable
% 20.78/5.35 |-Branch two:
% 20.78/5.35 | (791) ~ (all_0_224_224 = e11)
% 20.78/5.35 | (822) all_0_224_224 = e12
% 20.78/5.35 |
% 20.78/5.35 | Equations (822) can reduce 952 to:
% 20.78/5.35 | (508) $false
% 20.78/5.35 |
% 20.78/5.35 |-The branch is then unsatisfiable
% 20.78/5.35 |-Branch two:
% 20.78/5.35 | (907) ~ (all_0_225_225 = e11)
% 20.78/5.35 | (908) all_0_226_226 = e11 | all_0_227_227 = e11
% 20.78/5.35 |
% 20.78/5.35 +-Applying beta-rule and splitting (908), into two cases.
% 20.78/5.35 |-Branch one:
% 20.78/5.35 | (918) all_0_226_226 = e11
% 20.78/5.35 |
% 20.78/5.35 | Combining equations (842,918) yields a new equation:
% 20.78/5.35 | (934) e13 = e11
% 20.78/5.35 |
% 20.78/5.35 | Simplifying 934 yields:
% 20.78/5.35 | (853) e13 = e11
% 20.78/5.35 |
% 20.78/5.35 | Equations (853) can reduce 40 to:
% 20.78/5.35 | (508) $false
% 20.78/5.35 |
% 20.78/5.35 |-The branch is then unsatisfiable
% 20.78/5.35 |-Branch two:
% 20.78/5.35 | (922) ~ (all_0_226_226 = e11)
% 20.78/5.35 | (933) all_0_227_227 = e11
% 20.78/5.35 |
% 20.78/5.35 | Combining equations (953,933) yields a new equation:
% 20.78/5.35 | (836) e12 = e11
% 20.78/5.35 |
% 20.78/5.35 | Simplifying 836 yields:
% 20.78/5.35 | (837) e12 = e11
% 20.78/5.35 |
% 20.78/5.35 | Equations (837) can reduce 266 to:
% 20.78/5.35 | (508) $false
% 20.78/5.35 |
% 20.78/5.35 |-The branch is then unsatisfiable
% 20.78/5.35 |-Branch two:
% 20.78/5.35 | (823) ~ (all_0_222_222 = e12)
% 20.78/5.35 | (822) all_0_224_224 = e12
% 20.78/5.35 |
% 20.78/5.35 | Equations (822) can reduce 482 to:
% 20.78/5.35 | (823) ~ (all_0_222_222 = e12)
% 20.78/5.35 |
% 20.78/5.35 | Equations (822) can reduce 448 to:
% 20.78/5.35 | (813) ~ (all_0_227_227 = e12)
% 20.78/5.35 |
% 20.78/5.35 | Simplifying 813 yields:
% 20.78/5.35 | (814) ~ (all_0_227_227 = e12)
% 20.78/5.35 |
% 20.78/5.35 | Equations (822) can reduce 1100 to:
% 20.78/5.35 | (1372) ~ (e13 = e12)
% 20.78/5.35 |
% 20.78/5.35 | Simplifying 1372 yields:
% 20.78/5.35 | (112) ~ (e13 = e12)
% 20.78/5.35 |
% 20.78/5.35 | From (822) and (196) follows:
% 20.78/5.35 | (1841) h6(e12) = all_0_112_112
% 20.78/5.35 |
% 20.78/5.35 +-Applying beta-rule and splitting (92), into two cases.
% 20.78/5.35 |-Branch one:
% 20.78/5.35 | (826) all_0_222_222 = e13
% 20.78/5.35 |
% 20.78/5.35 | Equations (826) can reduce 937 to:
% 20.78/5.35 | (508) $false
% 20.78/5.35 |
% 20.78/5.35 |-The branch is then unsatisfiable
% 20.78/5.35 |-Branch two:
% 20.78/5.35 | (937) ~ (all_0_222_222 = e13)
% 20.78/5.35 | (942) all_0_222_222 = e12 | all_0_222_222 = e11
% 20.78/5.35 |
% 20.78/5.35 +-Applying beta-rule and splitting (942), into two cases.
% 20.78/5.35 |-Branch one:
% 20.78/5.35 | (943) all_0_222_222 = e11
% 20.78/5.35 |
% 20.78/5.35 | From (943) and (357) follows:
% 20.78/5.35 | (1847) h6(e11) = all_0_110_110
% 20.78/5.35 |
% 20.78/5.35 +-Applying beta-rule and splitting (130), into two cases.
% 20.78/5.35 |-Branch one:
% 20.78/5.35 | (978) all_0_225_225 = e12
% 20.78/5.35 |
% 20.78/5.35 | Equations (978) can reduce 294 to:
% 20.78/5.35 | (813) ~ (all_0_227_227 = e12)
% 20.78/5.35 |
% 20.78/5.35 | Simplifying 813 yields:
% 20.78/5.35 | (814) ~ (all_0_227_227 = e12)
% 20.78/5.35 |
% 20.78/5.35 | From (978) and (109) follows:
% 20.78/5.35 | (1851) h6(e12) = all_0_113_113
% 20.78/5.35 |
% 20.78/5.35 +-Applying beta-rule and splitting (149), into two cases.
% 20.78/5.35 |-Branch one:
% 20.78/5.35 | (846) all_0_227_227 = e13
% 20.78/5.35 |
% 20.78/5.35 | Equations (846) can reduce 1140 to:
% 20.78/5.35 | (508) $false
% 20.78/5.35 |
% 20.78/5.35 |-The branch is then unsatisfiable
% 20.78/5.35 |-Branch two:
% 20.78/5.35 | (1140) ~ (all_0_227_227 = e13)
% 20.78/5.35 | (1435) all_0_227_227 = e12 | all_0_227_227 = e11
% 20.78/5.35 |
% 20.78/5.35 +-Applying beta-rule and splitting (1435), into two cases.
% 20.78/5.35 |-Branch one:
% 20.78/5.35 | (933) all_0_227_227 = e11
% 20.78/5.35 |
% 20.78/5.35 | From (933) and (414) follows:
% 20.78/5.35 | (1857) h6(e11) = all_0_115_115
% 20.78/5.35 |
% 20.78/5.35 | Instantiating formula (268) with e12, all_0_112_112, e22 and discharging atoms h6(e12) = all_0_112_112, h6(e12) = e22, yields:
% 20.78/5.35 | (1858) all_0_112_112 = e22
% 20.78/5.35 |
% 20.78/5.35 | Instantiating formula (268) with e12, all_0_113_113, all_0_112_112 and discharging atoms h6(e12) = all_0_112_112, h6(e12) = all_0_113_113, yields:
% 20.78/5.35 | (1859) all_0_112_112 = all_0_113_113
% 20.78/5.35 |
% 20.78/5.35 | Instantiating formula (268) with e11, all_0_110_110, e21 and discharging atoms h6(e11) = all_0_110_110, h6(e11) = e21, yields:
% 20.78/5.35 | (1860) all_0_110_110 = e21
% 20.78/5.35 |
% 20.78/5.35 | Instantiating formula (268) with e11, all_0_115_115, all_0_110_110 and discharging atoms h6(e11) = all_0_110_110, h6(e11) = all_0_115_115, yields:
% 20.78/5.35 | (1861) all_0_110_110 = all_0_115_115
% 20.78/5.35 |
% 20.78/5.35 | Combining equations (1860,1861) yields a new equation:
% 20.78/5.35 | (1862) all_0_115_115 = e21
% 20.78/5.35 |
% 20.78/5.35 | Combining equations (1859,1858) yields a new equation:
% 20.78/5.35 | (1863) all_0_113_113 = e22
% 20.78/5.35 |
% 20.78/5.35 | Simplifying 1863 yields:
% 20.78/5.35 | (1864) all_0_113_113 = e22
% 20.78/5.35 |
% 20.78/5.35 | Combining equations (1862,1861) yields a new equation:
% 20.78/5.35 | (1860) all_0_110_110 = e21
% 20.78/5.35 |
% 20.78/5.35 +-Applying beta-rule and splitting (237), into two cases.
% 20.78/5.35 |-Branch one:
% 20.78/5.35 | (1866) ~ (all_0_108_108 = all_0_209_209)
% 20.78/5.35 |
% 20.78/5.35 | Equations (1465,569) can reduce 1866 to:
% 20.78/5.35 | (508) $false
% 20.78/5.35 |
% 20.78/5.35 |-The branch is then unsatisfiable
% 20.78/5.35 |-Branch two:
% 20.78/5.35 | (1868) all_0_108_108 = all_0_209_209
% 20.78/5.35 | (1869) ~ (all_0_109_109 = all_0_210_210) | ~ (all_0_110_110 = all_0_211_211) | ~ (all_0_111_111 = all_0_212_212) | ~ (all_0_112_112 = all_0_213_213) | ~ (all_0_113_113 = all_0_214_214) | ~ (all_0_114_114 = all_0_215_215) | ~ (all_0_115_115 = all_0_216_216) | ~ (all_0_116_116 = all_0_217_217) | ~ (all_0_117_117 = all_0_218_218) | ~ (all_0_118_118 = all_0_219_219)
% 20.78/5.35 |
% 20.78/5.35 +-Applying beta-rule and splitting (1869), into two cases.
% 20.78/5.35 |-Branch one:
% 20.78/5.35 | (1870) ~ (all_0_109_109 = all_0_210_210)
% 20.78/5.35 |
% 20.78/5.35 | Equations (1464,525) can reduce 1870 to:
% 20.78/5.35 | (508) $false
% 20.78/5.35 |
% 20.78/5.35 |-The branch is then unsatisfiable
% 20.78/5.35 |-Branch two:
% 20.78/5.35 | (1872) all_0_109_109 = all_0_210_210
% 20.78/5.35 | (1873) ~ (all_0_110_110 = all_0_211_211) | ~ (all_0_111_111 = all_0_212_212) | ~ (all_0_112_112 = all_0_213_213) | ~ (all_0_113_113 = all_0_214_214) | ~ (all_0_114_114 = all_0_215_215) | ~ (all_0_115_115 = all_0_216_216) | ~ (all_0_116_116 = all_0_217_217) | ~ (all_0_117_117 = all_0_218_218) | ~ (all_0_118_118 = all_0_219_219)
% 20.78/5.35 |
% 20.78/5.35 +-Applying beta-rule and splitting (1873), into two cases.
% 20.78/5.35 |-Branch one:
% 20.78/5.35 | (1874) ~ (all_0_110_110 = all_0_211_211)
% 20.78/5.35 |
% 20.78/5.35 | Equations (1860,539) can reduce 1874 to:
% 20.78/5.35 | (508) $false
% 20.78/5.35 |
% 20.78/5.35 |-The branch is then unsatisfiable
% 20.78/5.35 |-Branch two:
% 20.78/5.35 | (1876) all_0_110_110 = all_0_211_211
% 20.78/5.35 | (1877) ~ (all_0_111_111 = all_0_212_212) | ~ (all_0_112_112 = all_0_213_213) | ~ (all_0_113_113 = all_0_214_214) | ~ (all_0_114_114 = all_0_215_215) | ~ (all_0_115_115 = all_0_216_216) | ~ (all_0_116_116 = all_0_217_217) | ~ (all_0_117_117 = all_0_218_218) | ~ (all_0_118_118 = all_0_219_219)
% 20.78/5.35 |
% 20.78/5.35 +-Applying beta-rule and splitting (1877), into two cases.
% 20.78/5.35 |-Branch one:
% 20.78/5.35 | (1878) ~ (all_0_111_111 = all_0_212_212)
% 20.78/5.35 |
% 20.78/5.35 | Equations (1269,543) can reduce 1878 to:
% 20.78/5.35 | (508) $false
% 20.78/5.35 |
% 20.78/5.35 |-The branch is then unsatisfiable
% 20.78/5.35 |-Branch two:
% 21.07/5.35 | (1880) all_0_111_111 = all_0_212_212
% 21.07/5.35 | (1881) ~ (all_0_112_112 = all_0_213_213) | ~ (all_0_113_113 = all_0_214_214) | ~ (all_0_114_114 = all_0_215_215) | ~ (all_0_115_115 = all_0_216_216) | ~ (all_0_116_116 = all_0_217_217) | ~ (all_0_117_117 = all_0_218_218) | ~ (all_0_118_118 = all_0_219_219)
% 21.07/5.35 |
% 21.07/5.35 +-Applying beta-rule and splitting (1881), into two cases.
% 21.07/5.35 |-Branch one:
% 21.07/5.35 | (1882) ~ (all_0_112_112 = all_0_213_213)
% 21.07/5.35 |
% 21.07/5.35 | Equations (1858,510) can reduce 1882 to:
% 21.07/5.35 | (508) $false
% 21.07/5.35 |
% 21.07/5.35 |-The branch is then unsatisfiable
% 21.07/5.35 |-Branch two:
% 21.07/5.35 | (1884) all_0_112_112 = all_0_213_213
% 21.07/5.35 | (1885) ~ (all_0_113_113 = all_0_214_214) | ~ (all_0_114_114 = all_0_215_215) | ~ (all_0_115_115 = all_0_216_216) | ~ (all_0_116_116 = all_0_217_217) | ~ (all_0_117_117 = all_0_218_218) | ~ (all_0_118_118 = all_0_219_219)
% 21.07/5.35 |
% 21.07/5.35 +-Applying beta-rule and splitting (1885), into two cases.
% 21.07/5.35 |-Branch one:
% 21.07/5.35 | (1886) ~ (all_0_113_113 = all_0_214_214)
% 21.07/5.35 |
% 21.07/5.35 | Equations (1864,760) can reduce 1886 to:
% 21.07/5.35 | (508) $false
% 21.07/5.35 |
% 21.07/5.35 |-The branch is then unsatisfiable
% 21.07/5.35 |-Branch two:
% 21.07/5.35 | (1888) all_0_113_113 = all_0_214_214
% 21.07/5.35 | (1889) ~ (all_0_114_114 = all_0_215_215) | ~ (all_0_115_115 = all_0_216_216) | ~ (all_0_116_116 = all_0_217_217) | ~ (all_0_117_117 = all_0_218_218) | ~ (all_0_118_118 = all_0_219_219)
% 21.07/5.35 |
% 21.07/5.36 +-Applying beta-rule and splitting (1889), into two cases.
% 21.07/5.36 |-Branch one:
% 21.07/5.36 | (1890) ~ (all_0_114_114 = all_0_215_215)
% 21.07/5.36 |
% 21.07/5.36 | Equations (1758,622) can reduce 1890 to:
% 21.07/5.36 | (508) $false
% 21.07/5.36 |
% 21.07/5.36 |-The branch is then unsatisfiable
% 21.07/5.36 |-Branch two:
% 21.07/5.36 | (1892) all_0_114_114 = all_0_215_215
% 21.07/5.36 | (1893) ~ (all_0_115_115 = all_0_216_216) | ~ (all_0_116_116 = all_0_217_217) | ~ (all_0_117_117 = all_0_218_218) | ~ (all_0_118_118 = all_0_219_219)
% 21.07/5.36 |
% 21.07/5.36 +-Applying beta-rule and splitting (1893), into two cases.
% 21.07/5.36 |-Branch one:
% 21.07/5.36 | (1894) ~ (all_0_115_115 = all_0_216_216)
% 21.07/5.36 |
% 21.07/5.36 | Equations (1862,619) can reduce 1894 to:
% 21.07/5.36 | (508) $false
% 21.07/5.36 |
% 21.07/5.36 |-The branch is then unsatisfiable
% 21.07/5.36 |-Branch two:
% 21.07/5.36 | (1896) all_0_115_115 = all_0_216_216
% 21.07/5.36 | (1897) ~ (all_0_116_116 = all_0_217_217) | ~ (all_0_117_117 = all_0_218_218) | ~ (all_0_118_118 = all_0_219_219)
% 21.07/5.36 |
% 21.07/5.36 +-Applying beta-rule and splitting (1897), into two cases.
% 21.07/5.36 |-Branch one:
% 21.07/5.36 | (1898) ~ (all_0_116_116 = all_0_217_217)
% 21.07/5.36 |
% 21.07/5.36 | Equations (1762,550) can reduce 1898 to:
% 21.07/5.36 | (508) $false
% 21.07/5.36 |
% 21.07/5.36 |-The branch is then unsatisfiable
% 21.07/5.36 |-Branch two:
% 21.07/5.36 | (1900) all_0_116_116 = all_0_217_217
% 21.07/5.36 | (1901) ~ (all_0_117_117 = all_0_218_218) | ~ (all_0_118_118 = all_0_219_219)
% 21.07/5.36 |
% 21.07/5.36 +-Applying beta-rule and splitting (1901), into two cases.
% 21.07/5.36 |-Branch one:
% 21.07/5.36 | (1902) ~ (all_0_117_117 = all_0_218_218)
% 21.07/5.36 |
% 21.07/5.36 | Equations (1760,739) can reduce 1902 to:
% 21.07/5.36 | (508) $false
% 21.07/5.36 |
% 21.07/5.36 |-The branch is then unsatisfiable
% 21.07/5.36 |-Branch two:
% 21.07/5.36 | (1904) all_0_117_117 = all_0_218_218
% 21.07/5.36 | (1905) ~ (all_0_118_118 = all_0_219_219)
% 21.07/5.36 |
% 21.07/5.36 | Equations (1270,565) can reduce 1905 to:
% 21.07/5.36 | (508) $false
% 21.07/5.36 |
% 21.07/5.36 |-The branch is then unsatisfiable
% 21.07/5.36 |-Branch two:
% 21.07/5.36 | (807) ~ (all_0_227_227 = e11)
% 21.07/5.36 | (953) all_0_227_227 = e12
% 21.07/5.36 |
% 21.07/5.36 | Equations (953) can reduce 814 to:
% 21.07/5.36 | (508) $false
% 21.07/5.36 |
% 21.07/5.36 |-The branch is then unsatisfiable
% 21.07/5.36 |-Branch two:
% 21.07/5.36 | (1039) ~ (all_0_225_225 = e12)
% 21.07/5.36 | (1040) all_0_226_226 = e12 | all_0_227_227 = e12
% 21.07/5.36 |
% 21.07/5.36 +-Applying beta-rule and splitting (149), into two cases.
% 21.07/5.36 |-Branch one:
% 21.07/5.36 | (846) all_0_227_227 = e13
% 21.07/5.36 |
% 21.07/5.36 | Equations (846) can reduce 1140 to:
% 21.07/5.36 | (508) $false
% 21.07/5.36 |
% 21.07/5.36 |-The branch is then unsatisfiable
% 21.07/5.36 |-Branch two:
% 21.07/5.36 | (1140) ~ (all_0_227_227 = e13)
% 21.07/5.36 | (1435) all_0_227_227 = e12 | all_0_227_227 = e11
% 21.07/5.36 |
% 21.07/5.36 +-Applying beta-rule and splitting (1435), into two cases.
% 21.07/5.36 |-Branch one:
% 21.07/5.36 | (933) all_0_227_227 = e11
% 21.07/5.36 |
% 21.07/5.36 | Equations (933) can reduce 814 to:
% 21.07/5.36 | (810) ~ (e12 = e11)
% 21.07/5.36 |
% 21.07/5.36 | Simplifying 810 yields:
% 21.07/5.36 | (266) ~ (e12 = e11)
% 21.07/5.36 |
% 21.07/5.36 +-Applying beta-rule and splitting (199), into two cases.
% 21.07/5.36 |-Branch one:
% 21.07/5.36 | (950) all_0_222_222 = e12
% 21.07/5.36 |
% 21.07/5.36 | Combining equations (950,943) yields a new equation:
% 21.07/5.36 | (836) e12 = e11
% 21.07/5.36 |
% 21.07/5.36 | Simplifying 836 yields:
% 21.07/5.36 | (837) e12 = e11
% 21.07/5.36 |
% 21.07/5.36 | Equations (837) can reduce 266 to:
% 21.07/5.36 | (508) $false
% 21.07/5.36 |
% 21.07/5.36 |-The branch is then unsatisfiable
% 21.07/5.36 |-Branch two:
% 21.07/5.36 | (823) ~ (all_0_222_222 = e12)
% 21.07/5.36 | (1924) all_0_225_225 = e12 | all_0_228_228 = e12
% 21.07/5.36 |
% 21.07/5.36 +-Applying beta-rule and splitting (1924), into two cases.
% 21.07/5.36 |-Branch one:
% 21.07/5.36 | (978) all_0_225_225 = e12
% 21.07/5.36 |
% 21.07/5.36 | Equations (978) can reduce 1039 to:
% 21.07/5.36 | (508) $false
% 21.07/5.36 |
% 21.07/5.36 |-The branch is then unsatisfiable
% 21.07/5.36 |-Branch two:
% 21.07/5.36 | (1039) ~ (all_0_225_225 = e12)
% 21.07/5.36 | (818) all_0_228_228 = e12
% 21.07/5.36 |
% 21.07/5.36 | Combining equations (1376,818) yields a new equation:
% 21.07/5.36 | (987) e13 = e12
% 21.07/5.36 |
% 21.07/5.36 | Simplifying 987 yields:
% 21.07/5.36 | (843) e13 = e12
% 21.07/5.36 |
% 21.07/5.36 | Equations (843) can reduce 112 to:
% 21.07/5.36 | (508) $false
% 21.07/5.36 |
% 21.07/5.36 |-The branch is then unsatisfiable
% 21.07/5.36 |-Branch two:
% 21.07/5.36 | (807) ~ (all_0_227_227 = e11)
% 21.07/5.36 | (953) all_0_227_227 = e12
% 21.07/5.36 |
% 21.07/5.36 | Equations (953) can reduce 814 to:
% 21.07/5.36 | (508) $false
% 21.07/5.36 |
% 21.07/5.36 |-The branch is then unsatisfiable
% 21.07/5.36 |-Branch two:
% 21.07/5.36 | (789) ~ (all_0_222_222 = e11)
% 21.07/5.36 | (950) all_0_222_222 = e12
% 21.07/5.36 |
% 21.07/5.36 | Equations (950) can reduce 823 to:
% 21.07/5.36 | (508) $false
% 21.07/5.36 |
% 21.07/5.36 |-The branch is then unsatisfiable
% 21.07/5.36 |-Branch two:
% 21.07/5.36 | (845) ~ (all_0_226_226 = e13)
% 21.07/5.36 | (914) all_0_229_229 = e13
% 21.07/5.36 |
% 21.07/5.36 | Combining equations (956,914) yields a new equation:
% 21.07/5.36 | (843) e13 = e12
% 21.07/5.36 |
% 21.07/5.36 | Equations (843) can reduce 112 to:
% 21.07/5.36 | (508) $false
% 21.07/5.36 |
% 21.07/5.36 |-The branch is then unsatisfiable
% 21.07/5.36 |-Branch two:
% 21.07/5.36 | (629) ~ (all_0_216_216 = e21)
% 21.07/5.36 | (630) all_0_216_216 = e22
% 21.07/5.36 |
% 21.07/5.36 | Equations (630) can reduce 515 to:
% 21.07/5.36 | (508) $false
% 21.07/5.36 |
% 21.07/5.36 |-The branch is then unsatisfiable
% 21.07/5.36 |-Branch two:
% 21.07/5.36 | (625) ~ (all_0_215_215 = e23)
% 21.07/5.36 | (1486) all_0_215_215 = e22 | all_0_215_215 = e21
% 21.07/5.36 |
% 21.07/5.36 +-Applying beta-rule and splitting (1486), into two cases.
% 21.07/5.36 |-Branch one:
% 21.07/5.36 | (728) all_0_215_215 = e21
% 21.07/5.36 |
% 21.07/5.36 | Equations (728) can reduce 732 to:
% 21.07/5.36 | (508) $false
% 21.07/5.36 |
% 21.07/5.36 |-The branch is then unsatisfiable
% 21.07/5.36 |-Branch two:
% 21.07/5.36 | (732) ~ (all_0_215_215 = e21)
% 21.07/5.36 | (493) all_0_215_215 = e22
% 21.07/5.36 |
% 21.07/5.36 | Equations (493) can reduce 748 to:
% 21.07/5.36 | (508) $false
% 21.07/5.36 |
% 21.07/5.36 |-The branch is then unsatisfiable
% 21.07/5.36 |-Branch two:
% 21.07/5.36 | (604) ~ (all_0_209_209 = e21)
% 21.07/5.36 | (605) all_0_210_210 = e21
% 21.07/5.36 |
% 21.07/5.36 | Combining equations (525,605) yields a new equation:
% 21.07/5.36 | (561) e23 = e21
% 21.07/5.36 |
% 21.07/5.36 | Simplifying 561 yields:
% 21.07/5.36 | (562) e23 = e21
% 21.07/5.36 |
% 21.07/5.36 | Equations (562) can reduce 386 to:
% 21.07/5.36 | (508) $false
% 21.07/5.36 |
% 21.07/5.36 |-The branch is then unsatisfiable
% 21.07/5.36 |-Branch two:
% 21.07/5.36 | (855) ~ (all_0_220_220 = e11)
% 21.07/5.36 | (803) all_0_221_221 = e11
% 21.07/5.36 |
% 21.07/5.36 | Combining equations (803,800) yields a new equation:
% 21.07/5.36 | (853) e13 = e11
% 21.07/5.36 |
% 21.07/5.36 | Equations (853) can reduce 40 to:
% 21.07/5.36 | (508) $false
% 21.07/5.36 |
% 21.07/5.36 |-The branch is then unsatisfiable
% 21.07/5.36 |-Branch two:
% 21.07/5.36 | (553) ~ (all_0_217_217 = e23)
% 21.07/5.36 | (554) all_0_218_218 = e23 | all_0_219_219 = e23
% 21.07/5.36 |
% 21.07/5.36 +-Applying beta-rule and splitting (311), into two cases.
% 21.07/5.36 |-Branch one:
% 21.07/5.36 | (535) all_0_211_211 = e23
% 21.07/5.36 |
% 21.07/5.36 | Combining equations (535,539) yields a new equation:
% 21.07/5.36 | (561) e23 = e21
% 21.07/5.36 |
% 21.07/5.36 | Simplifying 561 yields:
% 21.07/5.36 | (562) e23 = e21
% 21.07/5.36 |
% 21.07/5.36 | Equations (562) can reduce 386 to:
% 21.07/5.36 | (508) $false
% 21.07/5.36 |
% 21.07/5.36 |-The branch is then unsatisfiable
% 21.07/5.36 |-Branch two:
% 21.07/5.36 | (534) ~ (all_0_211_211 = e23)
% 21.07/5.36 | (1968) all_0_214_214 = e23 | all_0_217_217 = e23
% 21.07/5.36 |
% 21.07/5.36 +-Applying beta-rule and splitting (1968), into two cases.
% 21.07/5.36 |-Branch one:
% 21.07/5.36 | (533) all_0_214_214 = e23
% 21.07/5.36 |
% 21.07/5.36 | Combining equations (760,533) yields a new equation:
% 21.07/5.36 | (551) e23 = e22
% 21.07/5.36 |
% 21.07/5.36 | Equations (551) can reduce 136 to:
% 21.07/5.36 | (508) $false
% 21.07/5.36 |
% 21.07/5.36 |-The branch is then unsatisfiable
% 21.07/5.36 |-Branch two:
% 21.07/5.36 | (617) ~ (all_0_214_214 = e23)
% 21.07/5.36 | (550) all_0_217_217 = e23
% 21.07/5.36 |
% 21.07/5.36 | Equations (550) can reduce 553 to:
% 21.07/5.36 | (508) $false
% 21.07/5.36 |
% 21.07/5.36 |-The branch is then unsatisfiable
% 21.07/5.36 |-Branch two:
% 21.07/5.36 | (614) ~ (all_0_211_211 = e21)
% 21.07/5.36 | (1976) all_0_212_212 = e21 | all_0_213_213 = e21
% 21.07/5.36 |
% 21.07/5.36 +-Applying beta-rule and splitting (1976), into two cases.
% 21.07/5.36 |-Branch one:
% 21.07/5.36 | (560) all_0_212_212 = e21
% 21.07/5.36 |
% 21.07/5.36 | Combining equations (543,560) yields a new equation:
% 21.07/5.36 | (561) e23 = e21
% 21.07/5.36 |
% 21.07/5.36 | Simplifying 561 yields:
% 21.07/5.36 | (562) e23 = e21
% 21.07/5.36 |
% 21.07/5.36 | Equations (562) can reduce 386 to:
% 21.07/5.36 | (508) $false
% 21.07/5.36 |
% 21.07/5.36 |-The branch is then unsatisfiable
% 21.07/5.36 |-Branch two:
% 21.07/5.36 | (541) ~ (all_0_212_212 = e21)
% 21.07/5.37 | (1982) all_0_213_213 = e21
% 21.07/5.37 |
% 21.07/5.37 | Combining equations (510,1982) yields a new equation:
% 21.07/5.37 | (679) e22 = e21
% 21.07/5.37 |
% 21.07/5.37 | Simplifying 679 yields:
% 21.07/5.37 | (584) e22 = e21
% 21.07/5.37 |
% 21.07/5.37 | Equations (584) can reduce 37 to:
% 21.07/5.37 | (508) $false
% 21.07/5.37 |
% 21.07/5.37 |-The branch is then unsatisfiable
% 21.07/5.37 |-Branch two:
% 21.07/5.37 | (611) ~ (all_0_212_212 = e23)
% 21.07/5.37 | (609) all_0_219_219 = e23
% 21.07/5.37 |
% 21.07/5.37 | Equations (609) can reduce 304 to:
% 21.07/5.37 | (611) ~ (all_0_212_212 = e23)
% 21.07/5.37 |
% 21.07/5.37 | From (609) and (62) follows:
% 21.07/5.37 | (650) op2(e20, e21) = e23
% 21.07/5.37 |
% 21.07/5.37 +-Applying beta-rule and splitting (239), into two cases.
% 21.07/5.37 |-Branch one:
% 21.07/5.37 | (543) all_0_212_212 = e23
% 21.07/5.37 |
% 21.07/5.37 | Equations (543) can reduce 611 to:
% 21.07/5.37 | (508) $false
% 21.07/5.37 |
% 21.07/5.37 |-The branch is then unsatisfiable
% 21.07/5.37 |-Branch two:
% 21.07/5.37 | (611) ~ (all_0_212_212 = e23)
% 21.07/5.37 | (560) all_0_212_212 = e21
% 21.07/5.37 |
% 21.07/5.37 | Equations (560) can reduce 611 to:
% 21.07/5.37 | (566) ~ (e23 = e21)
% 21.07/5.37 |
% 21.07/5.37 | Simplifying 566 yields:
% 21.07/5.37 | (386) ~ (e23 = e21)
% 21.07/5.37 |
% 21.07/5.37 | Equations (560) can reduce 222 to:
% 21.07/5.37 | (655) ~ (e22 = e21)
% 21.07/5.37 |
% 21.07/5.37 | Simplifying 655 yields:
% 21.07/5.37 | (37) ~ (e22 = e21)
% 21.07/5.37 |
% 21.07/5.37 | From (560) and (404) follows:
% 21.07/5.37 | (657) op2(e21, e22) = all_0_122_122
% 21.07/5.37 |
% 21.07/5.37 | From (560) and (56) follows:
% 21.07/5.37 | (658) op2(e22, e21) = all_0_119_119
% 21.07/5.37 |
% 21.07/5.37 | From (560) and (93) follows:
% 21.07/5.37 | (659) op2(e22, e21) = e21
% 21.07/5.37 |
% 21.07/5.37 | From (560) and (353) follows:
% 21.07/5.37 | (660) op2(e20, e21) = all_0_134_134
% 21.07/5.37 |
% 21.07/5.37 +-Applying beta-rule and splitting (252), into two cases.
% 21.07/5.37 |-Branch one:
% 21.07/5.37 | (535) all_0_211_211 = e23
% 21.07/5.37 |
% 21.07/5.37 | From (535)(535) and (14) follows:
% 21.07/5.37 | (2003) op2(e23, e23) = all_0_5_5
% 21.07/5.37 |
% 21.07/5.37 | From (535) and (5) follows:
% 21.07/5.37 | (2004) op2(e23, e23) = all_0_6_6
% 21.07/5.37 |
% 21.07/5.37 | From (535) and (232) follows:
% 21.07/5.37 | (2005) op2(e23, e20) = all_0_8_8
% 21.07/5.37 |
% 21.07/5.37 | From (535) and (17) follows:
% 21.07/5.37 | (2006) op2(e23, e23) = all_0_11_11
% 21.07/5.37 |
% 21.07/5.37 | From (535) and (87) follows:
% 21.07/5.37 | (2007) op2(e22, e23) = all_0_0_0
% 21.07/5.37 |
% 21.07/5.37 | From (535) and (234) follows:
% 21.07/5.37 | (667) op2(e22, e23) = e23
% 21.07/5.37 |
% 21.07/5.37 | Instantiating formula (148) with e23, e23, all_0_6_6, e20 and discharging atoms op2(e23, e23) = all_0_6_6, op2(e23, e23) = e20, yields:
% 21.07/5.37 | (2009) all_0_6_6 = e20
% 21.07/5.37 |
% 21.07/5.37 | Instantiating formula (148) with e23, e23, all_0_6_6, all_0_5_5 and discharging atoms op2(e23, e23) = all_0_5_5, op2(e23, e23) = all_0_6_6, yields:
% 21.07/5.37 | (2010) all_0_5_5 = all_0_6_6
% 21.07/5.37 |
% 21.07/5.37 | Instantiating formula (148) with e23, e23, all_0_11_11, all_0_5_5 and discharging atoms op2(e23, e23) = all_0_5_5, op2(e23, e23) = all_0_11_11, yields:
% 21.07/5.37 | (2011) all_0_5_5 = all_0_11_11
% 21.07/5.37 |
% 21.07/5.37 | Instantiating formula (148) with e23, e20, all_0_8_8, all_0_210_210 and discharging atoms op2(e23, e20) = all_0_8_8, op2(e23, e20) = all_0_210_210, yields:
% 21.07/5.37 | (2012) all_0_8_8 = all_0_210_210
% 21.07/5.37 |
% 21.07/5.37 | Instantiating formula (148) with e22, e23, e23, all_0_0_0 and discharging atoms op2(e22, e23) = all_0_0_0, op2(e22, e23) = e23, yields:
% 21.07/5.37 | (2013) all_0_0_0 = e23
% 21.07/5.37 |
% 21.07/5.37 | Instantiating formula (148) with e22, e21, e21, all_0_119_119 and discharging atoms op2(e22, e21) = all_0_119_119, op2(e22, e21) = e21, yields:
% 21.13/5.37 | (571) all_0_119_119 = e21
% 21.13/5.37 |
% 21.13/5.37 | Instantiating formula (148) with e21, e22, all_0_122_122, all_0_215_215 and discharging atoms op2(e21, e22) = all_0_122_122, op2(e21, e22) = all_0_215_215, yields:
% 21.13/5.37 | (2015) all_0_122_122 = all_0_215_215
% 21.13/5.37 |
% 21.13/5.37 | Instantiating formula (148) with e20, e21, e23, all_0_134_134 and discharging atoms op2(e20, e21) = all_0_134_134, op2(e20, e21) = e23, yields:
% 21.13/5.37 | (670) all_0_134_134 = e23
% 21.13/5.37 |
% 21.13/5.37 | Combining equations (2010,2011) yields a new equation:
% 21.13/5.37 | (2017) all_0_6_6 = all_0_11_11
% 21.13/5.37 |
% 21.13/5.37 | Simplifying 2017 yields:
% 21.13/5.37 | (2018) all_0_6_6 = all_0_11_11
% 21.13/5.37 |
% 21.13/5.37 | Combining equations (2009,2018) yields a new equation:
% 21.13/5.37 | (2019) all_0_11_11 = e20
% 21.13/5.37 |
% 21.13/5.37 | From (2019) and (2006) follows:
% 21.13/5.37 | (106) op2(e23, e23) = e20
% 21.13/5.37 |
% 21.13/5.37 | From (2012) and (2005) follows:
% 21.13/5.37 | (10) op2(e23, e20) = all_0_210_210
% 21.13/5.37 |
% 21.13/5.37 | From (2013) and (2007) follows:
% 21.13/5.37 | (667) op2(e22, e23) = e23
% 21.13/5.37 |
% 21.13/5.37 | From (571) and (658) follows:
% 21.13/5.37 | (659) op2(e22, e21) = e21
% 21.13/5.37 |
% 21.13/5.37 | From (2015) and (657) follows:
% 21.13/5.37 | (323) op2(e21, e22) = all_0_215_215
% 21.13/5.37 |
% 21.13/5.37 | From (670) and (660) follows:
% 21.13/5.37 | (650) op2(e20, e21) = e23
% 21.13/5.37 |
% 21.13/5.37 +-Applying beta-rule and splitting (11), into two cases.
% 21.13/5.37 |-Branch one:
% 21.13/5.37 | (638) all_0_209_209 = e23
% 21.13/5.37 |
% 21.13/5.37 | Equations (638) can reduce 491 to:
% 21.13/5.37 | (1469) ~ (all_0_210_210 = e23)
% 21.13/5.37 |
% 21.13/5.37 | Simplifying 1469 yields:
% 21.13/5.37 | (632) ~ (all_0_210_210 = e23)
% 21.13/5.37 |
% 21.13/5.37 | Equations (638) can reduce 337 to:
% 21.13/5.37 | (136) ~ (e23 = e22)
% 21.13/5.37 |
% 21.13/5.37 | From (638)(638) and (270) follows:
% 21.13/5.37 | (2030) op2(e23, e23) = all_0_59_59
% 21.13/5.37 |
% 21.13/5.37 | From (638) and (181) follows:
% 21.13/5.37 | (2031) op2(e23, e23) = all_0_57_57
% 21.13/5.37 |
% 21.13/5.37 | From (638) and (469) follows:
% 21.13/5.37 | (2032) op2(e23, e23) = all_0_54_54
% 21.13/5.37 |
% 21.13/5.37 | From (638) and (154) follows:
% 21.13/5.37 | (2033) op2(e22, e23) = all_0_65_65
% 21.13/5.37 |
% 21.13/5.37 +-Applying beta-rule and splitting (452), into two cases.
% 21.13/5.37 |-Branch one:
% 21.13/5.37 | (525) all_0_210_210 = e23
% 21.13/5.37 |
% 21.13/5.37 | Equations (525) can reduce 632 to:
% 21.13/5.37 | (508) $false
% 21.13/5.37 |
% 21.13/5.37 |-The branch is then unsatisfiable
% 21.13/5.37 |-Branch two:
% 21.13/5.37 | (632) ~ (all_0_210_210 = e23)
% 21.13/5.37 | (1491) all_0_213_213 = e23 | all_0_216_216 = e23
% 21.13/5.37 |
% 21.13/5.37 +-Applying beta-rule and splitting (1491), into two cases.
% 21.13/5.37 |-Branch one:
% 21.13/5.37 | (1492) all_0_213_213 = e23
% 21.13/5.37 |
% 21.13/5.37 | Combining equations (510,1492) yields a new equation:
% 21.13/5.37 | (551) e23 = e22
% 21.13/5.37 |
% 21.13/5.37 | Equations (551) can reduce 136 to:
% 21.13/5.37 | (508) $false
% 21.13/5.37 |
% 21.13/5.37 |-The branch is then unsatisfiable
% 21.13/5.37 |-Branch two:
% 21.13/5.37 | (1496) ~ (all_0_213_213 = e23)
% 21.13/5.37 | (529) all_0_216_216 = e23
% 21.13/5.37 |
% 21.13/5.37 | Equations (529) can reduce 119 to:
% 21.13/5.37 | (632) ~ (all_0_210_210 = e23)
% 21.13/5.37 |
% 21.13/5.37 | Equations (529) can reduce 328 to:
% 21.13/5.37 | (625) ~ (all_0_215_215 = e23)
% 21.13/5.37 |
% 21.13/5.37 +-Applying beta-rule and splitting (171), into two cases.
% 21.13/5.37 |-Branch one:
% 21.13/5.37 | (622) all_0_215_215 = e23
% 21.13/5.37 |
% 21.13/5.37 | Equations (622) can reduce 625 to:
% 21.13/5.37 | (508) $false
% 21.13/5.37 |
% 21.13/5.37 |-The branch is then unsatisfiable
% 21.13/5.37 |-Branch two:
% 21.13/5.37 | (625) ~ (all_0_215_215 = e23)
% 21.13/5.37 | (1486) all_0_215_215 = e22 | all_0_215_215 = e21
% 21.13/5.37 |
% 21.13/5.37 +-Applying beta-rule and splitting (1486), into two cases.
% 21.13/5.37 |-Branch one:
% 21.13/5.37 | (728) all_0_215_215 = e21
% 21.13/5.37 |
% 21.13/5.37 | From (728) and (57) follows:
% 21.13/5.37 | (1504) op2(e21, e22) = all_0_78_78
% 21.13/5.37 |
% 21.13/5.37 | From (728) and (323) follows:
% 21.13/5.37 | (598) op2(e21, e22) = e21
% 21.13/5.37 |
% 21.13/5.37 | From (728) and (351) follows:
% 21.13/5.37 | (2052) op2(e20, e21) = all_0_87_87
% 21.13/5.37 |
% 21.13/5.37 +-Applying beta-rule and splitting (67), into two cases.
% 21.13/5.37 |-Branch one:
% 21.13/5.37 | (525) all_0_210_210 = e23
% 21.13/5.37 |
% 21.13/5.37 | Equations (525) can reduce 632 to:
% 21.13/5.37 | (508) $false
% 21.13/5.37 |
% 21.13/5.37 |-The branch is then unsatisfiable
% 21.13/5.37 |-Branch two:
% 21.13/5.37 | (632) ~ (all_0_210_210 = e23)
% 21.13/5.37 | (605) all_0_210_210 = e21
% 21.13/5.37 |
% 21.13/5.37 | Equations (605) can reduce 632 to:
% 21.13/5.37 | (566) ~ (e23 = e21)
% 21.13/5.37 |
% 21.13/5.37 | Simplifying 566 yields:
% 21.13/5.37 | (386) ~ (e23 = e21)
% 21.13/5.37 |
% 21.13/5.37 | Equations (605) can reduce 439 to:
% 21.13/5.37 | (387) ~ (e21 = e20)
% 21.13/5.37 |
% 21.13/5.37 | Instantiating formula (148) with e23, e23, all_0_57_57, e20 and discharging atoms op2(e23, e23) = all_0_57_57, op2(e23, e23) = e20, yields:
% 21.13/5.37 | (2060) all_0_57_57 = e20
% 21.13/5.37 |
% 21.13/5.37 | Instantiating formula (148) with e23, e23, all_0_57_57, all_0_54_54 and discharging atoms op2(e23, e23) = all_0_54_54, op2(e23, e23) = all_0_57_57, yields:
% 21.13/5.37 | (2061) all_0_54_54 = all_0_57_57
% 21.13/5.37 |
% 21.13/5.37 | Instantiating formula (148) with e23, e23, all_0_59_59, all_0_54_54 and discharging atoms op2(e23, e23) = all_0_54_54, op2(e23, e23) = all_0_59_59, yields:
% 21.13/5.37 | (2062) all_0_54_54 = all_0_59_59
% 21.13/5.37 |
% 21.13/5.37 | Instantiating formula (148) with e22, e23, all_0_65_65, e23 and discharging atoms op2(e22, e23) = all_0_65_65, op2(e22, e23) = e23, yields:
% 21.13/5.38 | (2063) all_0_65_65 = e23
% 21.13/5.38 |
% 21.13/5.38 | Instantiating formula (148) with e21, e22, e21, all_0_78_78 and discharging atoms op2(e21, e22) = all_0_78_78, op2(e21, e22) = e21, yields:
% 21.13/5.38 | (1508) all_0_78_78 = e21
% 21.13/5.38 |
% 21.13/5.38 | Instantiating formula (148) with e20, e21, all_0_87_87, e23 and discharging atoms op2(e20, e21) = all_0_87_87, op2(e20, e21) = e23, yields:
% 21.13/5.38 | (2065) all_0_87_87 = e23
% 21.13/5.38 |
% 21.13/5.38 | Combining equations (2061,2062) yields a new equation:
% 21.13/5.38 | (2066) all_0_57_57 = all_0_59_59
% 21.13/5.38 |
% 21.13/5.38 | Simplifying 2066 yields:
% 21.13/5.38 | (2067) all_0_57_57 = all_0_59_59
% 21.13/5.38 |
% 21.13/5.38 | Combining equations (2067,2060) yields a new equation:
% 21.13/5.38 | (2068) all_0_59_59 = e20
% 21.13/5.38 |
% 21.13/5.38 | Simplifying 2068 yields:
% 21.13/5.38 | (2069) all_0_59_59 = e20
% 21.13/5.38 |
% 21.13/5.38 | From (2069) and (2030) follows:
% 21.13/5.38 | (106) op2(e23, e23) = e20
% 21.13/5.38 |
% 21.13/5.38 | From (2063) and (2033) follows:
% 21.13/5.38 | (667) op2(e22, e23) = e23
% 21.13/5.38 |
% 21.13/5.38 | From (1508) and (1504) follows:
% 21.13/5.38 | (598) op2(e21, e22) = e21
% 21.13/5.38 |
% 21.13/5.38 | From (2065) and (2052) follows:
% 21.13/5.38 | (650) op2(e20, e21) = e23
% 21.13/5.38 |
% 21.13/5.38 +-Applying beta-rule and splitting (377), into two cases.
% 21.13/5.38 |-Branch one:
% 21.13/5.38 | (575) unit2 = e20
% 21.13/5.38 |
% 21.13/5.38 | From (575) and (29) follows:
% 21.13/5.38 | (568) op2(e20, e21) = e21
% 21.13/5.38 |
% 21.13/5.38 | Instantiating formula (148) with e20, e21, e21, e23 and discharging atoms op2(e20, e21) = e23, op2(e20, e21) = e21, yields:
% 21.13/5.38 | (562) e23 = e21
% 21.13/5.38 |
% 21.13/5.38 | Equations (562) can reduce 386 to:
% 21.13/5.38 | (508) $false
% 21.13/5.38 |
% 21.13/5.38 |-The branch is then unsatisfiable
% 21.13/5.38 |-Branch two:
% 21.13/5.38 | (579) ~ (unit2 = e20)
% 21.13/5.38 | (580) unit2 = e23 | unit2 = e22 | unit2 = e21
% 21.13/5.38 |
% 21.13/5.38 +-Applying beta-rule and splitting (580), into two cases.
% 21.13/5.38 |-Branch one:
% 21.13/5.38 | (581) unit2 = e23
% 21.13/5.38 |
% 21.13/5.38 | From (581) and (412) follows:
% 21.13/5.38 | (686) op2(e23, e23) = e23
% 21.13/5.38 |
% 21.13/5.38 | From (581) and (338) follows:
% 21.13/5.38 | (582) op2(e22, e23) = e22
% 21.13/5.38 |
% 21.13/5.38 | From (581) and (276) follows:
% 21.13/5.38 | (1523) op2(e21, e23) = e21
% 21.13/5.38 |
% 21.13/5.38 | Instantiating formula (148) with e23, e23, e23, e20 and discharging atoms op2(e23, e23) = e23, op2(e23, e23) = e20, yields:
% 21.13/5.38 | (688) e23 = e20
% 21.13/5.38 |
% 21.13/5.38 | Instantiating formula (148) with e22, e23, e22, e23 and discharging atoms op2(e22, e23) = e23, op2(e22, e23) = e22, yields:
% 21.13/5.38 | (551) e23 = e22
% 21.13/5.38 |
% 21.13/5.38 | Instantiating formula (148) with e21, e23, e21, e22 and discharging atoms op2(e21, e23) = e22, op2(e21, e23) = e21, yields:
% 21.13/5.38 | (584) e22 = e21
% 21.13/5.38 |
% 21.13/5.38 | Combining equations (551,688) yields a new equation:
% 21.13/5.38 | (691) e22 = e20
% 21.13/5.38 |
% 21.13/5.38 | Simplifying 691 yields:
% 21.13/5.38 | (585) e22 = e20
% 21.13/5.38 |
% 21.13/5.38 | Combining equations (585,584) yields a new equation:
% 21.13/5.38 | (586) e21 = e20
% 21.13/5.38 |
% 21.13/5.38 | Equations (586) can reduce 387 to:
% 21.13/5.38 | (508) $false
% 21.13/5.38 |
% 21.13/5.38 |-The branch is then unsatisfiable
% 21.13/5.38 |-Branch two:
% 21.13/5.38 | (588) ~ (unit2 = e23)
% 21.13/5.38 | (589) unit2 = e22 | unit2 = e21
% 21.13/5.38 |
% 21.13/5.38 +-Applying beta-rule and splitting (589), into two cases.
% 21.13/5.38 |-Branch one:
% 21.13/5.38 | (590) unit2 = e21
% 21.13/5.38 |
% 21.13/5.38 | Equations (590) can reduce 579 to:
% 21.13/5.38 | (387) ~ (e21 = e20)
% 21.13/5.38 |
% 21.13/5.38 | From (590) and (116) follows:
% 21.13/5.38 | (1536) op2(e21, e23) = e23
% 21.13/5.38 |
% 21.13/5.38 | From (590) and (416) follows:
% 21.13/5.38 | (499) op2(e21, e22) = e22
% 21.13/5.38 |
% 21.13/5.38 | From (590) and (339) follows:
% 21.13/5.38 | (592) op2(e20, e21) = e20
% 21.13/5.38 |
% 21.13/5.38 | Instantiating formula (148) with e21, e23, e23, e22 and discharging atoms op2(e21, e23) = e23, op2(e21, e23) = e22, yields:
% 21.13/5.38 | (551) e23 = e22
% 21.13/5.38 |
% 21.13/5.38 | Instantiating formula (148) with e21, e22, e22, e21 and discharging atoms op2(e21, e22) = e22, op2(e21, e22) = e21, yields:
% 21.13/5.38 | (584) e22 = e21
% 21.13/5.38 |
% 21.13/5.38 | Instantiating formula (148) with e20, e21, e20, e23 and discharging atoms op2(e20, e21) = e23, op2(e20, e21) = e20, yields:
% 21.13/5.38 | (688) e23 = e20
% 21.13/5.38 |
% 21.13/5.38 | Combining equations (551,688) yields a new equation:
% 21.13/5.38 | (691) e22 = e20
% 21.13/5.38 |
% 21.13/5.38 | Simplifying 691 yields:
% 21.13/5.38 | (585) e22 = e20
% 21.13/5.38 |
% 21.13/5.38 | Combining equations (585,584) yields a new equation:
% 21.13/5.38 | (586) e21 = e20
% 21.13/5.38 |
% 21.13/5.38 | Equations (586) can reduce 387 to:
% 21.13/5.38 | (508) $false
% 21.13/5.38 |
% 21.13/5.38 |-The branch is then unsatisfiable
% 21.13/5.38 |-Branch two:
% 21.13/5.38 | (595) ~ (unit2 = e21)
% 21.13/5.38 | (596) unit2 = e22
% 21.13/5.38 |
% 21.13/5.38 | Equations (596) can reduce 579 to:
% 21.13/5.38 | (424) ~ (e22 = e20)
% 21.13/5.38 |
% 21.13/5.38 | From (596) and (339) follows:
% 21.13/5.38 | (1549) op2(e20, e22) = e20
% 21.13/5.38 |
% 21.13/5.38 | Instantiating formula (148) with e20, e22, e20, e22 and discharging atoms op2(e20, e22) = e22, op2(e20, e22) = e20, yields:
% 21.13/5.38 | (585) e22 = e20
% 21.13/5.38 |
% 21.13/5.38 | Equations (585) can reduce 424 to:
% 21.13/5.38 | (508) $false
% 21.13/5.38 |
% 21.13/5.38 |-The branch is then unsatisfiable
% 21.13/5.38 |-Branch two:
% 21.13/5.38 | (732) ~ (all_0_215_215 = e21)
% 21.13/5.38 | (493) all_0_215_215 = e22
% 21.13/5.38 |
% 21.13/5.38 | Equations (493) can reduce 748 to:
% 21.13/5.38 | (508) $false
% 21.13/5.38 |
% 21.13/5.38 |-The branch is then unsatisfiable
% 21.13/5.38 |-Branch two:
% 21.13/5.38 | (741) ~ (all_0_209_209 = e23)
% 21.13/5.38 | (569) all_0_209_209 = e21
% 21.13/5.38 |
% 21.13/5.38 | Equations (569) can reduce 491 to:
% 21.13/5.38 | (2116) ~ (all_0_210_210 = e21)
% 21.13/5.38 |
% 21.13/5.38 | Simplifying 2116 yields:
% 21.13/5.38 | (2117) ~ (all_0_210_210 = e21)
% 21.13/5.38 |
% 21.13/5.38 | Equations (569) can reduce 741 to:
% 21.13/5.38 | (566) ~ (e23 = e21)
% 21.13/5.38 |
% 21.13/5.38 | Simplifying 566 yields:
% 21.13/5.38 | (386) ~ (e23 = e21)
% 21.13/5.38 |
% 21.13/5.38 | Equations (569) can reduce 337 to:
% 21.13/5.38 | (655) ~ (e22 = e21)
% 21.13/5.38 |
% 21.13/5.38 | Simplifying 655 yields:
% 21.13/5.38 | (37) ~ (e22 = e21)
% 21.13/5.38 |
% 21.13/5.38 | From (569) and (181) follows:
% 21.13/5.38 | (2122) op2(e21, e23) = all_0_57_57
% 21.13/5.38 |
% 21.13/5.38 | From (569) and (208) follows:
% 21.13/5.38 | (2123) op2(e21, e22) = all_0_60_60
% 21.13/5.38 |
% 21.13/5.38 | From (569) and (154) follows:
% 21.13/5.38 | (2124) op2(e22, e21) = all_0_65_65
% 21.13/5.38 |
% 21.13/5.38 | From (569) and (43) follows:
% 21.13/5.38 | (2125) op2(e20, e21) = all_0_69_69
% 21.13/5.38 |
% 21.13/5.38 +-Applying beta-rule and splitting (221), into two cases.
% 21.13/5.38 |-Branch one:
% 21.13/5.38 | (605) all_0_210_210 = e21
% 21.13/5.38 |
% 21.13/5.38 | Equations (605) can reduce 2117 to:
% 21.13/5.38 | (508) $false
% 21.13/5.38 |
% 21.13/5.38 |-The branch is then unsatisfiable
% 21.13/5.38 |-Branch two:
% 21.13/5.38 | (2117) ~ (all_0_210_210 = e21)
% 21.13/5.38 | (2129) all_0_213_213 = e21 | all_0_216_216 = e21
% 21.13/5.38 |
% 21.13/5.38 +-Applying beta-rule and splitting (2129), into two cases.
% 21.13/5.38 |-Branch one:
% 21.13/5.38 | (1982) all_0_213_213 = e21
% 21.13/5.38 |
% 21.13/5.38 | Combining equations (510,1982) yields a new equation:
% 21.13/5.38 | (679) e22 = e21
% 21.13/5.38 |
% 21.13/5.38 | Simplifying 679 yields:
% 21.13/5.38 | (584) e22 = e21
% 21.13/5.38 |
% 21.13/5.38 | Equations (584) can reduce 37 to:
% 21.13/5.38 | (508) $false
% 21.13/5.38 |
% 21.13/5.38 |-The branch is then unsatisfiable
% 21.13/5.38 |-Branch two:
% 21.13/5.38 | (2134) ~ (all_0_213_213 = e21)
% 21.13/5.38 | (619) all_0_216_216 = e21
% 21.13/5.38 |
% 21.13/5.38 | Equations (619) can reduce 119 to:
% 21.13/5.38 | (2117) ~ (all_0_210_210 = e21)
% 21.13/5.38 |
% 21.13/5.38 | Equations (619) can reduce 328 to:
% 21.13/5.38 | (732) ~ (all_0_215_215 = e21)
% 21.13/5.38 |
% 21.13/5.38 | Equations (619) can reduce 137 to:
% 21.13/5.38 | (387) ~ (e21 = e20)
% 21.13/5.38 |
% 21.13/5.38 +-Applying beta-rule and splitting (235), into two cases.
% 21.13/5.38 |-Branch one:
% 21.13/5.38 | (638) all_0_209_209 = e23
% 21.13/5.38 |
% 21.13/5.38 | Combining equations (569,638) yields a new equation:
% 21.13/5.38 | (562) e23 = e21
% 21.13/5.38 |
% 21.13/5.38 | Equations (562) can reduce 386 to:
% 21.13/5.38 | (508) $false
% 21.13/5.38 |
% 21.13/5.38 |-The branch is then unsatisfiable
% 21.13/5.38 |-Branch two:
% 21.13/5.38 | (741) ~ (all_0_209_209 = e23)
% 21.13/5.38 | (525) all_0_210_210 = e23
% 21.13/5.38 |
% 21.13/5.38 | Equations (525) can reduce 141 to:
% 21.13/5.38 | (136) ~ (e23 = e22)
% 21.13/5.38 |
% 21.13/5.38 | Equations (525) can reduce 2117 to:
% 21.13/5.38 | (386) ~ (e23 = e21)
% 21.13/5.38 |
% 21.13/5.38 | From (525) and (10) follows:
% 21.13/5.38 | (2146) op2(e23, e20) = e23
% 21.13/5.38 |
% 21.13/5.38 +-Applying beta-rule and splitting (418), into two cases.
% 21.13/5.38 |-Branch one:
% 21.13/5.38 | (533) all_0_214_214 = e23
% 21.13/5.38 |
% 21.13/5.38 | Combining equations (760,533) yields a new equation:
% 21.13/5.38 | (551) e23 = e22
% 21.13/5.38 |
% 21.13/5.38 | Equations (551) can reduce 136 to:
% 21.13/5.38 | (508) $false
% 21.13/5.38 |
% 21.13/5.38 |-The branch is then unsatisfiable
% 21.13/5.38 |-Branch two:
% 21.13/5.38 | (617) ~ (all_0_214_214 = e23)
% 21.13/5.39 | (618) all_0_215_215 = e23 | all_0_216_216 = e23
% 21.13/5.39 |
% 21.13/5.39 | Equations (760) can reduce 617 to:
% 21.13/5.39 | (2152) ~ (e23 = e22)
% 21.13/5.39 |
% 21.13/5.39 | Simplifying 2152 yields:
% 21.13/5.39 | (136) ~ (e23 = e22)
% 21.13/5.39 |
% 21.13/5.39 +-Applying beta-rule and splitting (380), into two cases.
% 21.13/5.39 |-Branch one:
% 21.13/5.39 | (638) all_0_209_209 = e23
% 21.13/5.39 |
% 21.13/5.39 | Combining equations (569,638) yields a new equation:
% 21.13/5.39 | (562) e23 = e21
% 21.13/5.39 |
% 21.13/5.39 | Equations (562) can reduce 386 to:
% 21.13/5.39 | (508) $false
% 21.13/5.39 |
% 21.13/5.39 |-The branch is then unsatisfiable
% 21.13/5.39 |-Branch two:
% 21.13/5.39 | (741) ~ (all_0_209_209 = e23)
% 21.13/5.39 | (2158) all_0_215_215 = e23 | all_0_218_218 = e23
% 21.13/5.39 |
% 21.13/5.39 +-Applying beta-rule and splitting (2158), into two cases.
% 21.13/5.39 |-Branch one:
% 21.13/5.39 | (622) all_0_215_215 = e23
% 21.13/5.39 |
% 21.13/5.39 | Equations (622) can reduce 732 to:
% 21.13/5.39 | (386) ~ (e23 = e21)
% 21.13/5.39 |
% 21.13/5.39 | From (622) and (80) follows:
% 21.13/5.39 | (2161) op2(e23, e20) = all_0_80_80
% 21.13/5.39 |
% 21.13/5.39 | From (622) and (156) follows:
% 21.13/5.39 | (2162) op2(e22, e23) = all_0_83_83
% 21.13/5.39 |
% 21.13/5.39 | From (622) and (228) follows:
% 21.13/5.39 | (2163) op2(e21, e23) = all_0_72_72
% 21.13/5.39 |
% 21.13/5.39 | From (622) and (323) follows:
% 21.13/5.39 | (2164) op2(e21, e22) = e23
% 21.13/5.39 |
% 21.13/5.39 | Instantiating formula (148) with e23, e20, e23, all_0_80_80 and discharging atoms op2(e23, e20) = all_0_80_80, op2(e23, e20) = e23, yields:
% 21.13/5.39 | (1509) all_0_80_80 = e23
% 21.13/5.39 |
% 21.13/5.39 | Instantiating formula (148) with e22, e23, all_0_83_83, e23 and discharging atoms op2(e22, e23) = all_0_83_83, op2(e22, e23) = e23, yields:
% 21.13/5.39 | (2166) all_0_83_83 = e23
% 21.13/5.39 |
% 21.13/5.39 | Instantiating formula (148) with e22, e21, all_0_65_65, e21 and discharging atoms op2(e22, e21) = all_0_65_65, op2(e22, e21) = e21, yields:
% 21.13/5.39 | (2167) all_0_65_65 = e21
% 21.13/5.39 |
% 21.13/5.39 | Instantiating formula (148) with e21, e23, all_0_57_57, e22 and discharging atoms op2(e21, e23) = all_0_57_57, op2(e21, e23) = e22, yields:
% 21.13/5.39 | (2168) all_0_57_57 = e22
% 21.13/5.39 |
% 21.13/5.39 | Instantiating formula (148) with e21, e23, all_0_72_72, all_0_57_57 and discharging atoms op2(e21, e23) = all_0_57_57, op2(e21, e23) = all_0_72_72, yields:
% 21.13/5.39 | (2169) all_0_57_57 = all_0_72_72
% 21.13/5.39 |
% 21.13/5.39 | Instantiating formula (148) with e21, e22, e23, all_0_60_60 and discharging atoms op2(e21, e22) = all_0_60_60, op2(e21, e22) = e23, yields:
% 21.13/5.39 | (1507) all_0_60_60 = e23
% 21.13/5.39 |
% 21.13/5.39 | Instantiating formula (148) with e20, e21, all_0_69_69, e23 and discharging atoms op2(e20, e21) = all_0_69_69, op2(e20, e21) = e23, yields:
% 21.13/5.39 | (1510) all_0_69_69 = e23
% 21.13/5.39 |
% 21.13/5.39 | Combining equations (2168,2169) yields a new equation:
% 21.13/5.39 | (519) all_0_72_72 = e22
% 21.13/5.39 |
% 21.13/5.39 | From (1509) and (2161) follows:
% 21.13/5.39 | (2146) op2(e23, e20) = e23
% 21.13/5.39 |
% 21.13/5.39 | From (2166) and (2162) follows:
% 21.13/5.39 | (667) op2(e22, e23) = e23
% 21.13/5.39 |
% 21.13/5.39 | From (2167) and (2124) follows:
% 21.13/5.39 | (659) op2(e22, e21) = e21
% 21.13/5.39 |
% 21.13/5.39 | From (519) and (2163) follows:
% 21.13/5.39 | (770) op2(e21, e23) = e22
% 21.13/5.39 |
% 21.13/5.39 | From (1507) and (2123) follows:
% 21.13/5.39 | (2164) op2(e21, e22) = e23
% 21.13/5.39 |
% 21.13/5.39 | From (1510) and (2125) follows:
% 21.13/5.39 | (650) op2(e20, e21) = e23
% 21.13/5.39 |
% 21.13/5.39 +-Applying beta-rule and splitting (377), into two cases.
% 21.13/5.39 |-Branch one:
% 21.13/5.39 | (575) unit2 = e20
% 21.13/5.39 |
% 21.13/5.39 | From (575) and (29) follows:
% 21.13/5.39 | (568) op2(e20, e21) = e21
% 21.13/5.39 |
% 21.13/5.39 | Instantiating formula (148) with e20, e21, e21, e23 and discharging atoms op2(e20, e21) = e23, op2(e20, e21) = e21, yields:
% 21.13/5.39 | (562) e23 = e21
% 21.13/5.39 |
% 21.13/5.39 | Equations (562) can reduce 386 to:
% 21.13/5.39 | (508) $false
% 21.13/5.39 |
% 21.13/5.39 |-The branch is then unsatisfiable
% 21.13/5.39 |-Branch two:
% 21.13/5.39 | (579) ~ (unit2 = e20)
% 21.13/5.39 | (580) unit2 = e23 | unit2 = e22 | unit2 = e21
% 21.13/5.39 |
% 21.13/5.39 +-Applying beta-rule and splitting (580), into two cases.
% 21.13/5.39 |-Branch one:
% 21.13/5.39 | (581) unit2 = e23
% 21.13/5.39 |
% 21.13/5.39 | From (581) and (146) follows:
% 21.13/5.39 | (2186) op2(e23, e20) = e20
% 21.13/5.39 |
% 21.13/5.39 | From (581) and (338) follows:
% 21.13/5.39 | (582) op2(e22, e23) = e22
% 21.13/5.39 |
% 21.13/5.39 | From (581) and (276) follows:
% 21.13/5.39 | (1523) op2(e21, e23) = e21
% 21.13/5.39 |
% 21.13/5.39 | Instantiating formula (148) with e23, e20, e20, e23 and discharging atoms op2(e23, e20) = e23, op2(e23, e20) = e20, yields:
% 21.13/5.39 | (688) e23 = e20
% 21.13/5.39 |
% 21.13/5.39 | Instantiating formula (148) with e22, e23, e22, e23 and discharging atoms op2(e22, e23) = e23, op2(e22, e23) = e22, yields:
% 21.13/5.39 | (551) e23 = e22
% 21.13/5.39 |
% 21.13/5.39 | Instantiating formula (148) with e21, e23, e21, e22 and discharging atoms op2(e21, e23) = e22, op2(e21, e23) = e21, yields:
% 21.13/5.39 | (584) e22 = e21
% 21.13/5.39 |
% 21.13/5.39 | Combining equations (688,551) yields a new equation:
% 21.13/5.39 | (585) e22 = e20
% 21.13/5.39 |
% 21.13/5.39 | Combining equations (585,584) yields a new equation:
% 21.13/5.39 | (586) e21 = e20
% 21.13/5.39 |
% 21.13/5.39 | Equations (586) can reduce 387 to:
% 21.13/5.39 | (508) $false
% 21.13/5.39 |
% 21.13/5.39 |-The branch is then unsatisfiable
% 21.13/5.39 |-Branch two:
% 21.13/5.39 | (588) ~ (unit2 = e23)
% 21.13/5.39 | (589) unit2 = e22 | unit2 = e21
% 21.13/5.39 |
% 21.13/5.39 +-Applying beta-rule and splitting (589), into two cases.
% 21.13/5.39 |-Branch one:
% 21.13/5.39 | (590) unit2 = e21
% 21.13/5.39 |
% 21.13/5.39 | Equations (590) can reduce 579 to:
% 21.13/5.39 | (387) ~ (e21 = e20)
% 21.13/5.39 |
% 21.13/5.39 | From (590) and (416) follows:
% 21.13/5.39 | (499) op2(e21, e22) = e22
% 21.13/5.39 |
% 21.13/5.39 | From (590) and (338) follows:
% 21.13/5.39 | (701) op2(e22, e21) = e22
% 21.13/5.39 |
% 21.13/5.39 | From (590) and (339) follows:
% 21.13/5.39 | (592) op2(e20, e21) = e20
% 21.13/5.39 |
% 21.13/5.39 | Instantiating formula (148) with e22, e21, e22, e21 and discharging atoms op2(e22, e21) = e22, op2(e22, e21) = e21, yields:
% 21.13/5.39 | (584) e22 = e21
% 21.13/5.39 |
% 21.13/5.39 | Instantiating formula (148) with e21, e22, e22, e23 and discharging atoms op2(e21, e22) = e23, op2(e21, e22) = e22, yields:
% 21.13/5.39 | (551) e23 = e22
% 21.13/5.39 |
% 21.13/5.39 | Instantiating formula (148) with e20, e21, e20, e23 and discharging atoms op2(e20, e21) = e23, op2(e20, e21) = e20, yields:
% 21.13/5.39 | (688) e23 = e20
% 21.13/5.39 |
% 21.13/5.39 | Combining equations (551,688) yields a new equation:
% 21.13/5.39 | (691) e22 = e20
% 21.13/5.39 |
% 21.13/5.39 | Simplifying 691 yields:
% 21.13/5.39 | (585) e22 = e20
% 21.13/5.39 |
% 21.13/5.39 | Combining equations (585,584) yields a new equation:
% 21.13/5.39 | (586) e21 = e20
% 21.13/5.39 |
% 21.13/5.39 | Equations (586) can reduce 387 to:
% 21.13/5.39 | (508) $false
% 21.13/5.39 |
% 21.13/5.39 |-The branch is then unsatisfiable
% 21.13/5.39 |-Branch two:
% 21.13/5.39 | (595) ~ (unit2 = e21)
% 21.13/5.39 | (596) unit2 = e22
% 21.13/5.39 |
% 21.13/5.39 | Equations (596) can reduce 579 to:
% 21.13/5.39 | (424) ~ (e22 = e20)
% 21.13/5.39 |
% 21.13/5.39 | From (596) and (339) follows:
% 21.13/5.39 | (1549) op2(e20, e22) = e20
% 21.13/5.39 |
% 21.13/5.39 | Instantiating formula (148) with e20, e22, e20, e22 and discharging atoms op2(e20, e22) = e22, op2(e20, e22) = e20, yields:
% 21.13/5.39 | (585) e22 = e20
% 21.13/5.39 |
% 21.13/5.39 | Equations (585) can reduce 424 to:
% 21.13/5.39 | (508) $false
% 21.13/5.39 |
% 21.13/5.39 |-The branch is then unsatisfiable
% 21.13/5.39 |-Branch two:
% 21.13/5.39 | (625) ~ (all_0_215_215 = e23)
% 21.13/5.39 | (555) all_0_218_218 = e23
% 21.13/5.39 |
% 21.13/5.39 | Combining equations (739,555) yields a new equation:
% 21.13/5.39 | (551) e23 = e22
% 21.13/5.39 |
% 21.13/5.39 | Equations (551) can reduce 136 to:
% 21.13/5.39 | (508) $false
% 21.13/5.39 |
% 21.13/5.39 |-The branch is then unsatisfiable
% 21.13/5.39 |-Branch two:
% 21.13/5.39 | (534) ~ (all_0_211_211 = e23)
% 21.13/5.39 | (538) all_0_211_211 = e22 | all_0_211_211 = e21
% 21.13/5.39 |
% 21.13/5.39 +-Applying beta-rule and splitting (352), into two cases.
% 21.13/5.39 |-Branch one:
% 21.13/5.39 | (1288) all_0_217_217 = e21
% 21.13/5.39 |
% 21.13/5.39 | Equations (1288) can reduce 397 to:
% 21.13/5.39 | (614) ~ (all_0_211_211 = e21)
% 21.13/5.39 |
% 21.13/5.39 +-Applying beta-rule and splitting (538), into two cases.
% 21.13/5.39 |-Branch one:
% 21.13/5.39 | (539) all_0_211_211 = e21
% 21.13/5.39 |
% 21.13/5.39 | Equations (539) can reduce 614 to:
% 21.13/5.39 | (508) $false
% 21.13/5.39 |
% 21.13/5.39 |-The branch is then unsatisfiable
% 21.13/5.39 |-Branch two:
% 21.13/5.39 | (614) ~ (all_0_211_211 = e21)
% 21.13/5.39 | (507) all_0_211_211 = e22
% 21.13/5.39 |
% 21.13/5.39 | Equations (507) can reduce 502 to:
% 21.13/5.39 | (508) $false
% 21.13/5.39 |
% 21.13/5.39 |-The branch is then unsatisfiable
% 21.13/5.39 |-Branch two:
% 21.13/5.39 | (1282) ~ (all_0_217_217 = e21)
% 21.13/5.39 | (1291) all_0_218_218 = e21 | all_0_219_219 = e21
% 21.13/5.39 |
% 21.13/5.39 +-Applying beta-rule and splitting (1291), into two cases.
% 21.13/5.39 |-Branch one:
% 21.13/5.39 | (645) all_0_218_218 = e21
% 21.13/5.39 |
% 21.13/5.39 | Combining equations (645,739) yields a new equation:
% 21.13/5.39 | (584) e22 = e21
% 21.13/5.39 |
% 21.13/5.39 | Equations (584) can reduce 37 to:
% 21.13/5.39 | (508) $false
% 21.13/5.39 |
% 21.13/5.39 |-The branch is then unsatisfiable
% 21.13/5.39 |-Branch two:
% 21.13/5.39 | (738) ~ (all_0_218_218 = e21)
% 21.13/5.39 | (565) all_0_219_219 = e21
% 21.13/5.39 |
% 21.13/5.39 | Combining equations (565,609) yields a new equation:
% 21.13/5.39 | (562) e23 = e21
% 21.13/5.39 |
% 21.13/5.39 | Equations (562) can reduce 386 to:
% 21.13/5.39 | (508) $false
% 21.13/5.39 |
% 21.13/5.39 |-The branch is then unsatisfiable
% 21.13/5.39 |-Branch two:
% 21.13/5.39 | (783) ~ (all_0_223_223 = e13)
% 21.13/5.39 | (788) all_0_223_223 = e11
% 21.13/5.39 |
% 21.13/5.39 | Equations (788) can reduce 1258 to:
% 21.13/5.39 | (508) $false
% 21.13/5.39 |
% 21.13/5.39 |-The branch is then unsatisfiable
% 21.13/5.40 |-Branch two:
% 21.13/5.40 | (503) ~ (all_0_214_214 = e22)
% 21.13/5.40 | (2241) all_0_215_215 = e22 | all_0_216_216 = e22
% 21.13/5.40 |
% 21.13/5.40 +-Applying beta-rule and splitting (2241), into two cases.
% 21.13/5.40 |-Branch one:
% 21.13/5.40 | (493) all_0_215_215 = e22
% 21.13/5.40 |
% 21.13/5.40 | Equations (493) can reduce 748 to:
% 21.13/5.40 | (508) $false
% 21.13/5.40 |
% 21.13/5.40 |-The branch is then unsatisfiable
% 21.13/5.40 |-Branch two:
% 21.13/5.40 | (748) ~ (all_0_215_215 = e22)
% 21.13/5.40 | (630) all_0_216_216 = e22
% 21.13/5.40 |
% 21.13/5.40 | Equations (630) can reduce 515 to:
% 21.13/5.40 | (508) $false
% 21.13/5.40 |
% 21.13/5.40 |-The branch is then unsatisfiable
% 21.13/5.40 |-Branch two:
% 21.13/5.40 | (2247) ~ (all_0_213_213 = e22)
% 21.13/5.40 | (630) all_0_216_216 = e22
% 21.13/5.40 |
% 21.13/5.40 | Equations (630) can reduce 119 to:
% 21.13/5.40 | (141) ~ (all_0_210_210 = e22)
% 21.13/5.40 |
% 21.13/5.40 | Equations (630) can reduce 378 to:
% 21.13/5.40 | (2247) ~ (all_0_213_213 = e22)
% 21.13/5.40 |
% 21.13/5.40 | Equations (630) can reduce 328 to:
% 21.13/5.40 | (748) ~ (all_0_215_215 = e22)
% 21.13/5.40 |
% 21.13/5.40 | From (630) and (176) follows:
% 21.13/5.40 | (2252) op2(e21, e20) = e22
% 21.13/5.40 |
% 21.13/5.40 +-Applying beta-rule and splitting (381), into two cases.
% 21.13/5.40 |-Branch one:
% 21.13/5.40 | (507) all_0_211_211 = e22
% 21.13/5.40 |
% 21.13/5.40 | Equations (507) can reduce 105 to:
% 21.13/5.40 | (2254) ~ (all_0_212_212 = e22)
% 21.13/5.40 |
% 21.13/5.40 | Simplifying 2254 yields:
% 21.13/5.40 | (222) ~ (all_0_212_212 = e22)
% 21.13/5.40 |
% 21.13/5.40 | Equations (507) can reduce 217 to:
% 21.13/5.40 | (2256) ~ (all_0_213_213 = e22)
% 21.13/5.40 |
% 21.13/5.40 | Simplifying 2256 yields:
% 21.13/5.40 | (2247) ~ (all_0_213_213 = e22)
% 21.13/5.40 |
% 21.13/5.40 | Equations (507) can reduce 79 to:
% 21.13/5.40 | (2258) ~ (all_0_214_214 = e22)
% 21.13/5.40 |
% 21.13/5.40 | Simplifying 2258 yields:
% 21.13/5.40 | (503) ~ (all_0_214_214 = e22)
% 21.13/5.40 |
% 21.13/5.40 | Equations (507) can reduce 397 to:
% 21.13/5.40 | (2260) ~ (all_0_217_217 = e22)
% 21.13/5.40 |
% 21.13/5.40 | Simplifying 2260 yields:
% 21.13/5.40 | (745) ~ (all_0_217_217 = e22)
% 21.13/5.40 |
% 21.13/5.40 | From (507) and (5) follows:
% 21.13/5.40 | (2262) op2(e22, e23) = all_0_6_6
% 21.13/5.40 |
% 21.13/5.40 | From (507) and (232) follows:
% 21.13/5.40 | (2263) op2(e22, e20) = all_0_8_8
% 21.13/5.40 |
% 21.13/5.40 | From (507) and (234) follows:
% 21.13/5.40 | (582) op2(e22, e23) = e22
% 21.13/5.40 |
% 21.13/5.40 | From (507) and (318) follows:
% 21.13/5.40 | (2265) op2(e20, e22) = all_0_15_15
% 21.13/5.40 |
% 21.13/5.40 | Instantiating formula (148) with e22, e23, e22, all_0_6_6 and discharging atoms op2(e22, e23) = all_0_6_6, op2(e22, e23) = e22, yields:
% 21.13/5.40 | (1304) all_0_6_6 = e22
% 21.13/5.40 |
% 21.13/5.40 | Instantiating formula (148) with e22, e20, all_0_8_8, all_0_213_213 and discharging atoms op2(e22, e20) = all_0_8_8, op2(e22, e20) = all_0_213_213, yields:
% 21.13/5.40 | (2267) all_0_8_8 = all_0_213_213
% 21.13/5.40 |
% 21.13/5.40 | Instantiating formula (148) with e20, e22, all_0_15_15, e22 and discharging atoms op2(e20, e22) = all_0_15_15, op2(e20, e22) = e22, yields:
% 21.13/5.40 | (2268) all_0_15_15 = e22
% 21.13/5.40 |
% 21.13/5.40 | From (1304) and (2262) follows:
% 21.13/5.40 | (582) op2(e22, e23) = e22
% 21.13/5.40 |
% 21.13/5.40 | From (2267) and (2263) follows:
% 21.13/5.40 | (7) op2(e22, e20) = all_0_213_213
% 21.13/5.40 |
% 21.13/5.40 | From (2268) and (2265) follows:
% 21.13/5.40 | (576) op2(e20, e22) = e22
% 21.13/5.40 |
% 21.13/5.40 +-Applying beta-rule and splitting (313), into two cases.
% 21.13/5.40 |-Branch one:
% 21.13/5.40 | (543) all_0_212_212 = e23
% 21.13/5.40 |
% 21.13/5.40 | Equations (543) can reduce 478 to:
% 21.13/5.40 | (2273) ~ (all_0_213_213 = e23)
% 21.13/5.40 |
% 21.13/5.40 | Simplifying 2273 yields:
% 21.13/5.40 | (1496) ~ (all_0_213_213 = e23)
% 21.13/5.40 |
% 21.13/5.40 +-Applying beta-rule and splitting (452), into two cases.
% 21.13/5.40 |-Branch one:
% 21.13/5.40 | (525) all_0_210_210 = e23
% 21.13/5.40 |
% 21.13/5.40 | Equations (525) can reduce 491 to:
% 21.13/5.40 | (741) ~ (all_0_209_209 = e23)
% 21.13/5.40 |
% 21.13/5.40 | Equations (525) can reduce 12 to:
% 21.13/5.40 | (2273) ~ (all_0_213_213 = e23)
% 21.13/5.40 |
% 21.13/5.40 | Simplifying 2273 yields:
% 21.13/5.40 | (1496) ~ (all_0_213_213 = e23)
% 21.13/5.40 |
% 21.13/5.40 +-Applying beta-rule and splitting (11), into two cases.
% 21.13/5.40 |-Branch one:
% 21.13/5.40 | (638) all_0_209_209 = e23
% 21.13/5.40 |
% 21.13/5.40 | Equations (638) can reduce 741 to:
% 21.13/5.40 | (508) $false
% 21.13/5.40 |
% 21.13/5.40 |-The branch is then unsatisfiable
% 21.13/5.40 |-Branch two:
% 21.13/5.40 | (741) ~ (all_0_209_209 = e23)
% 21.13/5.40 | (569) all_0_209_209 = e21
% 21.13/5.40 |
% 21.13/5.40 | Equations (569) can reduce 269 to:
% 21.13/5.40 | (1558) ~ (all_0_215_215 = e21)
% 21.13/5.40 |
% 21.13/5.40 | Simplifying 1558 yields:
% 21.13/5.40 | (732) ~ (all_0_215_215 = e21)
% 21.13/5.40 |
% 21.13/5.40 | Equations (569) can reduce 741 to:
% 21.13/5.40 | (566) ~ (e23 = e21)
% 21.13/5.40 |
% 21.13/5.40 | Simplifying 566 yields:
% 21.13/5.40 | (386) ~ (e23 = e21)
% 21.13/5.40 |
% 21.13/5.40 | From (569) and (181) follows:
% 21.13/5.40 | (2122) op2(e21, e23) = all_0_57_57
% 21.13/5.40 |
% 21.13/5.40 | From (569) and (208) follows:
% 21.13/5.40 | (2123) op2(e21, e22) = all_0_60_60
% 21.13/5.40 |
% 21.13/5.40 | From (569) and (447) follows:
% 21.13/5.40 | (2289) op2(e21, e20) = all_0_62_62
% 21.13/5.40 |
% 21.13/5.40 | From (569) and (469) follows:
% 21.13/5.40 | (2290) op2(e23, e21) = all_0_54_54
% 21.13/5.40 |
% 21.13/5.40 +-Applying beta-rule and splitting (22), into two cases.
% 21.13/5.40 |-Branch one:
% 21.13/5.40 | (560) all_0_212_212 = e21
% 21.13/5.40 |
% 21.13/5.40 | Combining equations (543,560) yields a new equation:
% 21.13/5.40 | (561) e23 = e21
% 21.13/5.40 |
% 21.13/5.40 | Simplifying 561 yields:
% 21.13/5.40 | (562) e23 = e21
% 21.13/5.40 |
% 21.13/5.40 | Equations (562) can reduce 386 to:
% 21.13/5.40 | (508) $false
% 21.13/5.40 |
% 21.13/5.40 |-The branch is then unsatisfiable
% 21.13/5.40 |-Branch two:
% 21.13/5.40 | (541) ~ (all_0_212_212 = e21)
% 21.13/5.40 | (565) all_0_219_219 = e21
% 21.13/5.40 |
% 21.13/5.40 | Equations (565) can reduce 368 to:
% 21.13/5.40 | (1282) ~ (all_0_217_217 = e21)
% 21.13/5.40 |
% 21.13/5.40 | Equations (565) can reduce 261 to:
% 21.13/5.40 | (655) ~ (e22 = e21)
% 21.13/5.40 |
% 21.13/5.40 | Simplifying 655 yields:
% 21.13/5.40 | (37) ~ (e22 = e21)
% 21.13/5.40 |
% 21.13/5.40 +-Applying beta-rule and splitting (394), into two cases.
% 21.13/5.40 |-Branch one:
% 21.13/5.40 | (550) all_0_217_217 = e23
% 21.13/5.40 |
% 21.13/5.40 | Equations (550) can reduce 463 to:
% 21.13/5.40 | (617) ~ (all_0_214_214 = e23)
% 21.13/5.40 |
% 21.13/5.40 | Equations (550) can reduce 745 to:
% 21.13/5.40 | (136) ~ (e23 = e22)
% 21.13/5.40 |
% 21.13/5.40 | Equations (550) can reduce 1282 to:
% 21.13/5.40 | (386) ~ (e23 = e21)
% 21.13/5.40 |
% 21.13/5.40 +-Applying beta-rule and splitting (361), into two cases.
% 21.13/5.40 |-Branch one:
% 21.13/5.40 | (661) all_0_214_214 = e21
% 21.13/5.40 |
% 21.13/5.40 | Equations (661) can reduce 617 to:
% 21.13/5.40 | (566) ~ (e23 = e21)
% 21.13/5.40 |
% 21.13/5.40 | Simplifying 566 yields:
% 21.13/5.40 | (386) ~ (e23 = e21)
% 21.13/5.40 |
% 21.13/5.40 | Equations (661) can reduce 503 to:
% 21.13/5.40 | (655) ~ (e22 = e21)
% 21.13/5.40 |
% 21.13/5.40 | Simplifying 655 yields:
% 21.13/5.40 | (37) ~ (e22 = e21)
% 21.13/5.40 |
% 21.13/5.40 | From (661) and (238) follows:
% 21.13/5.40 | (1523) op2(e21, e23) = e21
% 21.13/5.40 |
% 21.13/5.40 +-Applying beta-rule and splitting (221), into two cases.
% 21.13/5.40 |-Branch one:
% 21.13/5.40 | (605) all_0_210_210 = e21
% 21.13/5.40 |
% 21.13/5.40 | Combining equations (525,605) yields a new equation:
% 21.13/5.40 | (561) e23 = e21
% 21.13/5.40 |
% 21.13/5.40 | Simplifying 561 yields:
% 21.13/5.40 | (562) e23 = e21
% 21.13/5.40 |
% 21.13/5.40 | Equations (562) can reduce 386 to:
% 21.13/5.40 | (508) $false
% 21.13/5.40 |
% 21.13/5.40 |-The branch is then unsatisfiable
% 21.13/5.40 |-Branch two:
% 21.13/5.40 | (2117) ~ (all_0_210_210 = e21)
% 21.13/5.40 | (2129) all_0_213_213 = e21 | all_0_216_216 = e21
% 21.13/5.40 |
% 21.13/5.40 +-Applying beta-rule and splitting (2129), into two cases.
% 21.13/5.40 |-Branch one:
% 21.13/5.40 | (1982) all_0_213_213 = e21
% 21.13/5.40 |
% 21.13/5.40 | Equations (1982) can reduce 1496 to:
% 21.13/5.40 | (566) ~ (e23 = e21)
% 21.13/5.40 |
% 21.13/5.40 | Simplifying 566 yields:
% 21.13/5.40 | (386) ~ (e23 = e21)
% 21.13/5.40 |
% 21.13/5.40 | Equations (1982) can reduce 2247 to:
% 21.13/5.40 | (655) ~ (e22 = e21)
% 21.13/5.40 |
% 21.13/5.40 | Simplifying 655 yields:
% 21.13/5.40 | (37) ~ (e22 = e21)
% 21.13/5.40 |
% 21.13/5.40 | Equations (1982) can reduce 254 to:
% 21.13/5.40 | (387) ~ (e21 = e20)
% 21.13/5.40 |
% 21.13/5.40 +-Applying beta-rule and splitting (418), into two cases.
% 21.13/5.40 |-Branch one:
% 21.13/5.40 | (533) all_0_214_214 = e23
% 21.13/5.40 |
% 21.13/5.40 | Combining equations (661,533) yields a new equation:
% 21.13/5.40 | (562) e23 = e21
% 21.13/5.40 |
% 21.13/5.40 | Equations (562) can reduce 386 to:
% 21.13/5.40 | (508) $false
% 21.13/5.40 |
% 21.13/5.40 |-The branch is then unsatisfiable
% 21.13/5.40 |-Branch two:
% 21.13/5.40 | (617) ~ (all_0_214_214 = e23)
% 21.13/5.40 | (618) all_0_215_215 = e23 | all_0_216_216 = e23
% 21.13/5.40 |
% 21.13/5.40 +-Applying beta-rule and splitting (618), into two cases.
% 21.13/5.40 |-Branch one:
% 21.13/5.40 | (622) all_0_215_215 = e23
% 21.13/5.40 |
% 21.13/5.40 | From (622) and (323) follows:
% 21.13/5.40 | (2164) op2(e21, e22) = e23
% 21.13/5.40 |
% 21.13/5.40 | Instantiating formula (148) with e23, e21, all_0_54_54, e22 and discharging atoms op2(e23, e21) = all_0_54_54, op2(e23, e21) = e22, yields:
% 21.13/5.40 | (2329) all_0_54_54 = e22
% 21.13/5.41 |
% 21.13/5.41 | Instantiating formula (148) with e21, e23, e21, all_0_57_57 and discharging atoms op2(e21, e23) = all_0_57_57, op2(e21, e23) = e21, yields:
% 21.13/5.41 | (2330) all_0_57_57 = e21
% 21.13/5.41 |
% 21.13/5.41 | Instantiating formula (148) with e21, e22, e23, all_0_60_60 and discharging atoms op2(e21, e22) = all_0_60_60, op2(e21, e22) = e23, yields:
% 21.13/5.41 | (1507) all_0_60_60 = e23
% 21.13/5.41 |
% 21.13/5.41 | Instantiating formula (148) with e21, e20, all_0_62_62, e22 and discharging atoms op2(e21, e20) = all_0_62_62, op2(e21, e20) = e22, yields:
% 21.13/5.41 | (2332) all_0_62_62 = e22
% 21.13/5.41 |
% 21.13/5.41 | From (2329) and (2290) follows:
% 21.13/5.41 | (226) op2(e23, e21) = e22
% 21.13/5.41 |
% 21.13/5.41 | From (2330) and (2122) follows:
% 21.13/5.41 | (1523) op2(e21, e23) = e21
% 21.13/5.41 |
% 21.13/5.41 | From (1507) and (2123) follows:
% 21.13/5.41 | (2164) op2(e21, e22) = e23
% 21.13/5.41 |
% 21.13/5.41 | From (2332) and (2289) follows:
% 21.13/5.41 | (2252) op2(e21, e20) = e22
% 21.13/5.41 |
% 21.13/5.41 +-Applying beta-rule and splitting (377), into two cases.
% 21.13/5.41 |-Branch one:
% 21.13/5.41 | (575) unit2 = e20
% 21.13/5.41 |
% 21.13/5.41 | From (575) and (276) follows:
% 21.13/5.41 | (1516) op2(e21, e20) = e21
% 21.13/5.41 |
% 21.13/5.41 | Instantiating formula (148) with e21, e20, e21, e22 and discharging atoms op2(e21, e20) = e22, op2(e21, e20) = e21, yields:
% 21.13/5.41 | (584) e22 = e21
% 21.13/5.41 |
% 21.13/5.41 | Equations (584) can reduce 37 to:
% 21.13/5.41 | (508) $false
% 21.13/5.41 |
% 21.13/5.41 |-The branch is then unsatisfiable
% 21.13/5.41 |-Branch two:
% 21.13/5.41 | (579) ~ (unit2 = e20)
% 21.13/5.41 | (580) unit2 = e23 | unit2 = e22 | unit2 = e21
% 21.13/5.41 |
% 21.13/5.41 +-Applying beta-rule and splitting (580), into two cases.
% 21.13/5.41 |-Branch one:
% 21.13/5.41 | (581) unit2 = e23
% 21.13/5.41 |
% 21.13/5.41 | From (581) and (29) follows:
% 21.13/5.41 | (685) op2(e23, e21) = e21
% 21.13/5.41 |
% 21.13/5.41 | Instantiating formula (148) with e23, e21, e21, e22 and discharging atoms op2(e23, e21) = e22, op2(e23, e21) = e21, yields:
% 21.13/5.41 | (584) e22 = e21
% 21.13/5.41 |
% 21.13/5.41 | Equations (584) can reduce 37 to:
% 21.13/5.41 | (508) $false
% 21.13/5.41 |
% 21.13/5.41 |-The branch is then unsatisfiable
% 21.13/5.41 |-Branch two:
% 21.13/5.41 | (588) ~ (unit2 = e23)
% 21.13/5.41 | (589) unit2 = e22 | unit2 = e21
% 21.13/5.41 |
% 21.13/5.41 +-Applying beta-rule and splitting (589), into two cases.
% 21.13/5.41 |-Branch one:
% 21.13/5.41 | (590) unit2 = e21
% 21.13/5.41 |
% 21.13/5.41 | Equations (590) can reduce 579 to:
% 21.13/5.41 | (387) ~ (e21 = e20)
% 21.13/5.41 |
% 21.13/5.41 | From (590) and (116) follows:
% 21.13/5.41 | (1536) op2(e21, e23) = e23
% 21.13/5.41 |
% 21.13/5.41 | From (590) and (416) follows:
% 21.13/5.41 | (499) op2(e21, e22) = e22
% 21.13/5.41 |
% 21.13/5.41 | From (590) and (146) follows:
% 21.13/5.41 | (1538) op2(e21, e20) = e20
% 21.13/5.41 |
% 21.13/5.41 | Instantiating formula (148) with e21, e23, e23, e21 and discharging atoms op2(e21, e23) = e23, op2(e21, e23) = e21, yields:
% 21.13/5.41 | (562) e23 = e21
% 21.13/5.41 |
% 21.13/5.41 | Instantiating formula (148) with e21, e22, e22, e23 and discharging atoms op2(e21, e22) = e23, op2(e21, e22) = e22, yields:
% 21.13/5.41 | (551) e23 = e22
% 21.13/5.41 |
% 21.13/5.41 | Instantiating formula (148) with e21, e20, e20, e22 and discharging atoms op2(e21, e20) = e22, op2(e21, e20) = e20, yields:
% 21.13/5.41 | (585) e22 = e20
% 21.13/5.41 |
% 21.13/5.41 | Combining equations (562,551) yields a new equation:
% 21.13/5.41 | (584) e22 = e21
% 21.13/5.41 |
% 21.13/5.41 | Combining equations (584,585) yields a new equation:
% 21.13/5.41 | (601) e21 = e20
% 21.13/5.41 |
% 21.13/5.41 | Simplifying 601 yields:
% 21.13/5.41 | (586) e21 = e20
% 21.13/5.41 |
% 21.13/5.41 | Equations (586) can reduce 387 to:
% 21.13/5.41 | (508) $false
% 21.13/5.41 |
% 21.13/5.41 |-The branch is then unsatisfiable
% 21.13/5.41 |-Branch two:
% 21.13/5.41 | (595) ~ (unit2 = e21)
% 21.13/5.41 | (596) unit2 = e22
% 21.13/5.41 |
% 21.13/5.41 | From (596) and (116) follows:
% 21.13/5.41 | (667) op2(e22, e23) = e23
% 21.13/5.41 |
% 21.13/5.41 | From (596) and (276) follows:
% 21.13/5.41 | (598) op2(e21, e22) = e21
% 21.13/5.41 |
% 21.13/5.41 | From (596) and (339) follows:
% 21.13/5.41 | (1549) op2(e20, e22) = e20
% 21.13/5.41 |
% 21.13/5.41 | Instantiating formula (148) with e22, e23, e23, e22 and discharging atoms op2(e22, e23) = e23, op2(e22, e23) = e22, yields:
% 21.13/5.41 | (551) e23 = e22
% 21.13/5.41 |
% 21.13/5.41 | Instantiating formula (148) with e21, e22, e21, e23 and discharging atoms op2(e21, e22) = e23, op2(e21, e22) = e21, yields:
% 21.13/5.41 | (562) e23 = e21
% 21.13/5.41 |
% 21.13/5.41 | Instantiating formula (148) with e20, e22, e20, e22 and discharging atoms op2(e20, e22) = e22, op2(e20, e22) = e20, yields:
% 21.13/5.41 | (585) e22 = e20
% 21.13/5.41 |
% 21.13/5.41 | Combining equations (551,562) yields a new equation:
% 21.13/5.41 | (679) e22 = e21
% 21.13/5.41 |
% 21.13/5.41 | Simplifying 679 yields:
% 21.13/5.41 | (584) e22 = e21
% 21.13/5.41 |
% 21.13/5.41 | Combining equations (584,585) yields a new equation:
% 21.13/5.41 | (601) e21 = e20
% 21.13/5.41 |
% 21.13/5.41 | Simplifying 601 yields:
% 21.13/5.41 | (586) e21 = e20
% 21.13/5.41 |
% 21.13/5.41 | Equations (586) can reduce 387 to:
% 21.13/5.41 | (508) $false
% 21.13/5.41 |
% 21.13/5.41 |-The branch is then unsatisfiable
% 21.13/5.41 |-Branch two:
% 21.13/5.41 | (625) ~ (all_0_215_215 = e23)
% 21.13/5.41 | (529) all_0_216_216 = e23
% 21.13/5.41 |
% 21.13/5.41 | Combining equations (529,630) yields a new equation:
% 21.13/5.41 | (1493) e23 = e22
% 21.13/5.41 |
% 21.13/5.41 | Simplifying 1493 yields:
% 21.13/5.41 | (551) e23 = e22
% 21.13/5.41 |
% 21.13/5.41 | Equations (551) can reduce 136 to:
% 21.13/5.41 | (508) $false
% 21.13/5.41 |
% 21.13/5.41 |-The branch is then unsatisfiable
% 21.13/5.41 |-Branch two:
% 21.13/5.41 | (2134) ~ (all_0_213_213 = e21)
% 21.13/5.41 | (619) all_0_216_216 = e21
% 21.13/5.41 |
% 21.13/5.41 | Combining equations (630,619) yields a new equation:
% 21.13/5.41 | (679) e22 = e21
% 21.13/5.41 |
% 21.13/5.41 | Simplifying 679 yields:
% 21.13/5.41 | (584) e22 = e21
% 21.13/5.41 |
% 21.13/5.41 | Equations (584) can reduce 37 to:
% 21.13/5.41 | (508) $false
% 21.13/5.41 |
% 21.13/5.41 |-The branch is then unsatisfiable
% 21.13/5.41 |-Branch two:
% 21.13/5.41 | (726) ~ (all_0_214_214 = e21)
% 21.13/5.41 | (727) all_0_215_215 = e21 | all_0_216_216 = e21
% 21.13/5.41 |
% 21.13/5.41 +-Applying beta-rule and splitting (171), into two cases.
% 21.13/5.41 |-Branch one:
% 21.13/5.41 | (622) all_0_215_215 = e23
% 21.13/5.41 |
% 21.13/5.41 | Equations (622) can reduce 732 to:
% 21.13/5.41 | (386) ~ (e23 = e21)
% 21.13/5.41 |
% 21.13/5.41 +-Applying beta-rule and splitting (727), into two cases.
% 21.13/5.41 |-Branch one:
% 21.13/5.41 | (728) all_0_215_215 = e21
% 21.13/5.41 |
% 21.13/5.41 | Combining equations (622,728) yields a new equation:
% 21.13/5.41 | (561) e23 = e21
% 21.13/5.41 |
% 21.13/5.41 | Simplifying 561 yields:
% 21.13/5.41 | (562) e23 = e21
% 21.13/5.41 |
% 21.13/5.41 | Equations (562) can reduce 386 to:
% 21.13/5.41 | (508) $false
% 21.13/5.41 |
% 21.13/5.41 |-The branch is then unsatisfiable
% 21.13/5.41 |-Branch two:
% 21.13/5.41 | (732) ~ (all_0_215_215 = e21)
% 21.13/5.41 | (619) all_0_216_216 = e21
% 21.13/5.41 |
% 21.13/5.41 | Combining equations (630,619) yields a new equation:
% 21.13/5.41 | (679) e22 = e21
% 21.13/5.41 |
% 21.13/5.41 | Simplifying 679 yields:
% 21.13/5.41 | (584) e22 = e21
% 21.13/5.41 |
% 21.13/5.41 | Equations (584) can reduce 37 to:
% 21.13/5.41 | (508) $false
% 21.13/5.41 |
% 21.13/5.41 |-The branch is then unsatisfiable
% 21.13/5.41 |-Branch two:
% 21.13/5.41 | (625) ~ (all_0_215_215 = e23)
% 21.13/5.41 | (1486) all_0_215_215 = e22 | all_0_215_215 = e21
% 21.13/5.41 |
% 21.13/5.41 +-Applying beta-rule and splitting (380), into two cases.
% 21.13/5.41 |-Branch one:
% 21.13/5.41 | (638) all_0_209_209 = e23
% 21.13/5.41 |
% 21.13/5.41 | Combining equations (638,569) yields a new equation:
% 21.13/5.41 | (561) e23 = e21
% 21.31/5.41 |
% 21.31/5.41 | Simplifying 561 yields:
% 21.31/5.41 | (562) e23 = e21
% 21.31/5.41 |
% 21.31/5.41 | Equations (562) can reduce 386 to:
% 21.31/5.41 | (508) $false
% 21.31/5.41 |
% 21.31/5.41 |-The branch is then unsatisfiable
% 21.31/5.41 |-Branch two:
% 21.31/5.41 | (741) ~ (all_0_209_209 = e23)
% 21.31/5.41 | (2158) all_0_215_215 = e23 | all_0_218_218 = e23
% 21.31/5.41 |
% 21.31/5.41 +-Applying beta-rule and splitting (2158), into two cases.
% 21.31/5.41 |-Branch one:
% 21.31/5.41 | (622) all_0_215_215 = e23
% 21.31/5.41 |
% 21.31/5.41 | Equations (622) can reduce 625 to:
% 21.31/5.41 | (508) $false
% 21.31/5.41 |
% 21.31/5.41 |-The branch is then unsatisfiable
% 21.31/5.41 |-Branch two:
% 21.31/5.41 | (625) ~ (all_0_215_215 = e23)
% 21.31/5.41 | (555) all_0_218_218 = e23
% 21.31/5.41 |
% 21.31/5.41 | Combining equations (739,555) yields a new equation:
% 21.31/5.41 | (551) e23 = e22
% 21.31/5.41 |
% 21.31/5.41 | Equations (551) can reduce 136 to:
% 21.31/5.41 | (508) $false
% 21.31/5.41 |
% 21.31/5.41 |-The branch is then unsatisfiable
% 21.31/5.41 |-Branch two:
% 21.31/5.41 | (553) ~ (all_0_217_217 = e23)
% 21.31/5.41 | (2412) all_0_217_217 = e22 | all_0_217_217 = e21
% 21.31/5.41 |
% 21.31/5.41 +-Applying beta-rule and splitting (2412), into two cases.
% 21.31/5.41 |-Branch one:
% 21.31/5.41 | (1288) all_0_217_217 = e21
% 21.31/5.41 |
% 21.31/5.41 | Equations (1288) can reduce 1282 to:
% 21.31/5.41 | (508) $false
% 21.31/5.41 |
% 21.31/5.41 |-The branch is then unsatisfiable
% 21.31/5.41 |-Branch two:
% 21.31/5.41 | (1282) ~ (all_0_217_217 = e21)
% 21.31/5.41 | (501) all_0_217_217 = e22
% 21.31/5.41 |
% 21.31/5.41 | Equations (501) can reduce 745 to:
% 21.31/5.41 | (508) $false
% 21.31/5.41 |
% 21.31/5.41 |-The branch is then unsatisfiable
% 21.31/5.41 |-Branch two:
% 21.31/5.41 | (632) ~ (all_0_210_210 = e23)
% 21.31/5.41 | (1491) all_0_213_213 = e23 | all_0_216_216 = e23
% 21.31/5.41 |
% 21.31/5.41 +-Applying beta-rule and splitting (67), into two cases.
% 21.31/5.41 |-Branch one:
% 21.31/5.41 | (525) all_0_210_210 = e23
% 21.31/5.41 |
% 21.31/5.41 | Equations (525) can reduce 632 to:
% 21.31/5.41 | (508) $false
% 21.31/5.41 |
% 21.31/5.41 |-The branch is then unsatisfiable
% 21.31/5.41 |-Branch two:
% 21.31/5.41 | (632) ~ (all_0_210_210 = e23)
% 21.31/5.41 | (605) all_0_210_210 = e21
% 21.31/5.41 |
% 21.31/5.41 | Equations (605) can reduce 491 to:
% 21.31/5.41 | (604) ~ (all_0_209_209 = e21)
% 21.31/5.41 |
% 21.31/5.41 +-Applying beta-rule and splitting (11), into two cases.
% 21.31/5.41 |-Branch one:
% 21.31/5.41 | (638) all_0_209_209 = e23
% 21.31/5.41 |
% 21.31/5.41 | Equations (638) can reduce 337 to:
% 21.31/5.41 | (136) ~ (e23 = e22)
% 21.31/5.41 |
% 21.31/5.41 +-Applying beta-rule and splitting (1491), into two cases.
% 21.31/5.41 |-Branch one:
% 21.31/5.41 | (1492) all_0_213_213 = e23
% 21.31/5.41 |
% 21.31/5.41 | Equations (1492) can reduce 1496 to:
% 21.31/5.41 | (508) $false
% 21.31/5.41 |
% 21.31/5.41 |-The branch is then unsatisfiable
% 21.31/5.41 |-Branch two:
% 21.31/5.41 | (1496) ~ (all_0_213_213 = e23)
% 21.31/5.41 | (529) all_0_216_216 = e23
% 21.31/5.41 |
% 21.31/5.41 | Combining equations (630,529) yields a new equation:
% 21.31/5.41 | (551) e23 = e22
% 21.31/5.41 |
% 21.31/5.41 | Equations (551) can reduce 136 to:
% 21.31/5.41 | (508) $false
% 21.31/5.41 |
% 21.31/5.41 |-The branch is then unsatisfiable
% 21.31/5.41 |-Branch two:
% 21.31/5.41 | (741) ~ (all_0_209_209 = e23)
% 21.31/5.42 | (569) all_0_209_209 = e21
% 21.31/5.42 |
% 21.31/5.42 | Equations (569) can reduce 604 to:
% 21.31/5.42 | (508) $false
% 21.31/5.42 |
% 21.31/5.42 |-The branch is then unsatisfiable
% 21.31/5.42 |-Branch two:
% 21.31/5.42 | (611) ~ (all_0_212_212 = e23)
% 21.31/5.42 | (609) all_0_219_219 = e23
% 21.31/5.42 |
% 21.31/5.42 | Equations (609) can reduce 304 to:
% 21.31/5.42 | (611) ~ (all_0_212_212 = e23)
% 21.31/5.42 |
% 21.31/5.42 | Equations (609) can reduce 368 to:
% 21.31/5.42 | (553) ~ (all_0_217_217 = e23)
% 21.31/5.42 |
% 21.31/5.42 | Equations (609) can reduce 261 to:
% 21.31/5.42 | (136) ~ (e23 = e22)
% 21.31/5.42 |
% 21.31/5.42 | From (609) and (62) follows:
% 21.31/5.42 | (650) op2(e20, e21) = e23
% 21.31/5.42 |
% 21.31/5.42 +-Applying beta-rule and splitting (239), into two cases.
% 21.31/5.42 |-Branch one:
% 21.31/5.42 | (543) all_0_212_212 = e23
% 21.31/5.42 |
% 21.31/5.42 | Equations (543) can reduce 611 to:
% 21.31/5.42 | (508) $false
% 21.31/5.42 |
% 21.31/5.42 |-The branch is then unsatisfiable
% 21.31/5.42 |-Branch two:
% 21.31/5.42 | (611) ~ (all_0_212_212 = e23)
% 21.31/5.42 | (560) all_0_212_212 = e21
% 21.31/5.42 |
% 21.31/5.42 | Equations (560) can reduce 478 to:
% 21.31/5.42 | (2446) ~ (all_0_213_213 = e21)
% 21.31/5.42 |
% 21.31/5.42 | Simplifying 2446 yields:
% 21.31/5.42 | (2134) ~ (all_0_213_213 = e21)
% 21.31/5.42 |
% 21.31/5.42 | Equations (560) can reduce 611 to:
% 21.31/5.42 | (566) ~ (e23 = e21)
% 21.31/5.42 |
% 21.31/5.42 | Simplifying 566 yields:
% 21.31/5.42 | (386) ~ (e23 = e21)
% 21.31/5.42 |
% 21.31/5.42 | Equations (560) can reduce 222 to:
% 21.31/5.42 | (655) ~ (e22 = e21)
% 21.31/5.42 |
% 21.31/5.42 | Simplifying 655 yields:
% 21.31/5.42 | (37) ~ (e22 = e21)
% 21.31/5.42 |
% 21.31/5.42 +-Applying beta-rule and splitting (352), into two cases.
% 21.31/5.42 |-Branch one:
% 21.31/5.42 | (1288) all_0_217_217 = e21
% 21.31/5.42 |
% 21.31/5.42 | Equations (1288) can reduce 553 to:
% 21.31/5.42 | (566) ~ (e23 = e21)
% 21.31/5.42 |
% 21.31/5.42 | Simplifying 566 yields:
% 21.31/5.42 | (386) ~ (e23 = e21)
% 21.31/5.42 |
% 21.31/5.42 +-Applying beta-rule and splitting (253), into two cases.
% 21.31/5.42 |-Branch one:
% 21.31/5.42 | (535) all_0_211_211 = e23
% 21.31/5.42 |
% 21.31/5.42 | Combining equations (535,507) yields a new equation:
% 21.31/5.42 | (1493) e23 = e22
% 21.31/5.42 |
% 21.31/5.42 | Simplifying 1493 yields:
% 21.31/5.42 | (551) e23 = e22
% 21.31/5.42 |
% 21.31/5.42 | Equations (551) can reduce 136 to:
% 21.31/5.42 | (508) $false
% 21.31/5.42 |
% 21.31/5.42 |-The branch is then unsatisfiable
% 21.31/5.42 |-Branch two:
% 21.31/5.42 | (534) ~ (all_0_211_211 = e23)
% 21.31/5.42 | (2460) all_0_212_212 = e23 | all_0_213_213 = e23
% 21.31/5.42 |
% 21.31/5.42 +-Applying beta-rule and splitting (2460), into two cases.
% 21.31/5.42 |-Branch one:
% 21.31/5.42 | (543) all_0_212_212 = e23
% 21.31/5.42 |
% 21.31/5.42 | Combining equations (560,543) yields a new equation:
% 21.31/5.42 | (562) e23 = e21
% 21.31/5.42 |
% 21.31/5.42 | Equations (562) can reduce 386 to:
% 21.31/5.42 | (508) $false
% 21.31/5.42 |
% 21.31/5.42 |-The branch is then unsatisfiable
% 21.31/5.42 |-Branch two:
% 21.31/5.42 | (611) ~ (all_0_212_212 = e23)
% 21.31/5.42 | (1492) all_0_213_213 = e23
% 21.31/5.42 |
% 21.31/5.42 | Equations (1492) can reduce 2247 to:
% 21.31/5.42 | (136) ~ (e23 = e22)
% 21.31/5.42 |
% 21.31/5.42 | Equations (1492) can reduce 2134 to:
% 21.31/5.42 | (386) ~ (e23 = e21)
% 21.31/5.42 |
% 21.31/5.42 | From (1492) and (7) follows:
% 21.31/5.42 | (2468) op2(e22, e20) = e23
% 21.31/5.42 |
% 21.31/5.42 +-Applying beta-rule and splitting (311), into two cases.
% 21.31/5.42 |-Branch one:
% 21.31/5.42 | (535) all_0_211_211 = e23
% 21.31/5.42 |
% 21.31/5.42 | Combining equations (535,507) yields a new equation:
% 21.31/5.42 | (1493) e23 = e22
% 21.31/5.42 |
% 21.31/5.42 | Simplifying 1493 yields:
% 21.31/5.42 | (551) e23 = e22
% 21.31/5.42 |
% 21.31/5.42 | Equations (551) can reduce 136 to:
% 21.31/5.42 | (508) $false
% 21.31/5.42 |
% 21.31/5.42 |-The branch is then unsatisfiable
% 21.31/5.42 |-Branch two:
% 21.31/5.42 | (534) ~ (all_0_211_211 = e23)
% 21.31/5.42 | (1968) all_0_214_214 = e23 | all_0_217_217 = e23
% 21.31/5.42 |
% 21.31/5.42 +-Applying beta-rule and splitting (1968), into two cases.
% 21.31/5.42 |-Branch one:
% 21.31/5.42 | (533) all_0_214_214 = e23
% 21.31/5.42 |
% 21.31/5.42 | Equations (533) can reduce 287 to:
% 21.31/5.42 | (1471) ~ (all_0_215_215 = e23)
% 21.31/5.42 |
% 21.31/5.42 | Simplifying 1471 yields:
% 21.31/5.42 | (625) ~ (all_0_215_215 = e23)
% 21.31/5.42 |
% 21.31/5.42 | Equations (533) can reduce 503 to:
% 21.31/5.42 | (136) ~ (e23 = e22)
% 21.31/5.42 |
% 21.31/5.42 | From (533) and (238) follows:
% 21.31/5.42 | (1536) op2(e21, e23) = e23
% 21.31/5.42 |
% 21.31/5.42 +-Applying beta-rule and splitting (380), into two cases.
% 21.31/5.42 |-Branch one:
% 21.31/5.42 | (638) all_0_209_209 = e23
% 21.31/5.42 |
% 21.31/5.42 | Equations (638) can reduce 491 to:
% 21.31/5.42 | (1469) ~ (all_0_210_210 = e23)
% 21.31/5.42 |
% 21.31/5.42 | Simplifying 1469 yields:
% 21.31/5.42 | (632) ~ (all_0_210_210 = e23)
% 21.31/5.42 |
% 21.31/5.42 | Equations (638) can reduce 269 to:
% 21.31/5.42 | (1471) ~ (all_0_215_215 = e23)
% 21.31/5.42 |
% 21.31/5.42 | Simplifying 1471 yields:
% 21.31/5.42 | (625) ~ (all_0_215_215 = e23)
% 21.31/5.42 |
% 21.31/5.42 | From (638)(638) and (270) follows:
% 21.31/5.42 | (2030) op2(e23, e23) = all_0_59_59
% 21.31/5.42 |
% 21.31/5.42 | From (638) and (181) follows:
% 21.31/5.42 | (2031) op2(e23, e23) = all_0_57_57
% 21.31/5.42 |
% 21.31/5.42 | From (638) and (469) follows:
% 21.31/5.42 | (2032) op2(e23, e23) = all_0_54_54
% 21.31/5.42 |
% 21.31/5.42 | From (638) and (154) follows:
% 21.31/5.42 | (2033) op2(e22, e23) = all_0_65_65
% 21.31/5.42 |
% 21.31/5.42 +-Applying beta-rule and splitting (171), into two cases.
% 21.31/5.42 |-Branch one:
% 21.31/5.42 | (622) all_0_215_215 = e23
% 21.31/5.42 |
% 21.31/5.42 | Equations (622) can reduce 625 to:
% 21.31/5.42 | (508) $false
% 21.31/5.42 |
% 21.31/5.42 |-The branch is then unsatisfiable
% 21.31/5.42 |-Branch two:
% 21.31/5.42 | (625) ~ (all_0_215_215 = e23)
% 21.31/5.42 | (1486) all_0_215_215 = e22 | all_0_215_215 = e21
% 21.31/5.42 |
% 21.31/5.42 +-Applying beta-rule and splitting (1486), into two cases.
% 21.31/5.42 |-Branch one:
% 21.31/5.42 | (728) all_0_215_215 = e21
% 21.31/5.42 |
% 21.31/5.42 | From (728) and (323) follows:
% 21.31/5.42 | (598) op2(e21, e22) = e21
% 21.31/5.42 |
% 21.31/5.42 +-Applying beta-rule and splitting (67), into two cases.
% 21.31/5.42 |-Branch one:
% 21.31/5.42 | (525) all_0_210_210 = e23
% 21.31/5.42 |
% 21.31/5.42 | Equations (525) can reduce 632 to:
% 21.31/5.42 | (508) $false
% 21.31/5.42 |
% 21.31/5.42 |-The branch is then unsatisfiable
% 21.31/5.42 |-Branch two:
% 21.31/5.42 | (632) ~ (all_0_210_210 = e23)
% 21.31/5.42 | (605) all_0_210_210 = e21
% 21.31/5.42 |
% 21.31/5.42 | Equations (605) can reduce 141 to:
% 21.31/5.42 | (655) ~ (e22 = e21)
% 21.31/5.42 |
% 21.31/5.42 | Simplifying 655 yields:
% 21.31/5.42 | (37) ~ (e22 = e21)
% 21.31/5.42 |
% 21.31/5.42 | Equations (605) can reduce 439 to:
% 21.31/5.42 | (387) ~ (e21 = e20)
% 21.31/5.42 |
% 21.31/5.42 | Instantiating formula (148) with e23, e23, all_0_57_57, e20 and discharging atoms op2(e23, e23) = all_0_57_57, op2(e23, e23) = e20, yields:
% 21.31/5.42 | (2060) all_0_57_57 = e20
% 21.31/5.42 |
% 21.31/5.42 | Instantiating formula (148) with e23, e23, all_0_57_57, all_0_54_54 and discharging atoms op2(e23, e23) = all_0_54_54, op2(e23, e23) = all_0_57_57, yields:
% 21.31/5.42 | (2061) all_0_54_54 = all_0_57_57
% 21.31/5.42 |
% 21.31/5.42 | Instantiating formula (148) with e23, e23, all_0_59_59, all_0_54_54 and discharging atoms op2(e23, e23) = all_0_54_54, op2(e23, e23) = all_0_59_59, yields:
% 21.31/5.42 | (2062) all_0_54_54 = all_0_59_59
% 21.31/5.42 |
% 21.31/5.42 | Instantiating formula (148) with e22, e23, all_0_65_65, e22 and discharging atoms op2(e22, e23) = all_0_65_65, op2(e22, e23) = e22, yields:
% 21.31/5.42 | (2505) all_0_65_65 = e22
% 21.31/5.42 |
% 21.31/5.42 | Combining equations (2061,2062) yields a new equation:
% 21.31/5.42 | (2066) all_0_57_57 = all_0_59_59
% 21.31/5.42 |
% 21.31/5.42 | Simplifying 2066 yields:
% 21.31/5.42 | (2067) all_0_57_57 = all_0_59_59
% 21.31/5.42 |
% 21.31/5.42 | Combining equations (2060,2067) yields a new equation:
% 21.31/5.42 | (2069) all_0_59_59 = e20
% 21.31/5.42 |
% 21.31/5.42 | From (2069) and (2030) follows:
% 21.31/5.42 | (106) op2(e23, e23) = e20
% 21.31/5.42 |
% 21.31/5.42 | From (2505) and (2033) follows:
% 21.31/5.42 | (582) op2(e22, e23) = e22
% 21.31/5.42 |
% 21.31/5.42 +-Applying beta-rule and splitting (377), into two cases.
% 21.31/5.42 |-Branch one:
% 21.31/5.42 | (575) unit2 = e20
% 21.31/5.42 |
% 21.31/5.42 | From (575) and (29) follows:
% 21.31/5.42 | (568) op2(e20, e21) = e21
% 21.31/5.42 |
% 21.31/5.42 | From (575) and (338) follows:
% 21.31/5.42 | (516) op2(e22, e20) = e22
% 21.31/5.42 |
% 21.31/5.42 | Instantiating formula (148) with e22, e20, e22, e23 and discharging atoms op2(e22, e20) = e23, op2(e22, e20) = e22, yields:
% 21.31/5.43 | (551) e23 = e22
% 21.31/5.43 |
% 21.31/5.43 | Instantiating formula (148) with e20, e21, e21, e23 and discharging atoms op2(e20, e21) = e23, op2(e20, e21) = e21, yields:
% 21.31/5.43 | (562) e23 = e21
% 21.31/5.43 |
% 21.31/5.43 | Combining equations (551,562) yields a new equation:
% 21.31/5.43 | (679) e22 = e21
% 21.31/5.43 |
% 21.31/5.43 | Simplifying 679 yields:
% 21.31/5.43 | (584) e22 = e21
% 21.31/5.43 |
% 21.31/5.43 | Equations (584) can reduce 37 to:
% 21.31/5.43 | (508) $false
% 21.31/5.43 |
% 21.31/5.43 |-The branch is then unsatisfiable
% 21.31/5.43 |-Branch two:
% 21.31/5.43 | (579) ~ (unit2 = e20)
% 21.31/5.43 | (580) unit2 = e23 | unit2 = e22 | unit2 = e21
% 21.31/5.43 |
% 21.31/5.43 +-Applying beta-rule and splitting (580), into two cases.
% 21.31/5.43 |-Branch one:
% 21.31/5.43 | (581) unit2 = e23
% 21.31/5.43 |
% 21.31/5.43 | From (581) and (412) follows:
% 21.31/5.43 | (686) op2(e23, e23) = e23
% 21.31/5.43 |
% 21.31/5.43 | From (581) and (276) follows:
% 21.31/5.43 | (1523) op2(e21, e23) = e21
% 21.31/5.43 |
% 21.31/5.43 | Instantiating formula (148) with e23, e23, e23, e20 and discharging atoms op2(e23, e23) = e23, op2(e23, e23) = e20, yields:
% 21.31/5.43 | (688) e23 = e20
% 21.31/5.43 |
% 21.31/5.43 | Instantiating formula (148) with e21, e23, e21, e23 and discharging atoms op2(e21, e23) = e23, op2(e21, e23) = e21, yields:
% 21.31/5.43 | (562) e23 = e21
% 21.31/5.43 |
% 21.31/5.43 | Combining equations (688,562) yields a new equation:
% 21.31/5.43 | (586) e21 = e20
% 21.31/5.43 |
% 21.31/5.43 | Equations (586) can reduce 387 to:
% 21.31/5.43 | (508) $false
% 21.31/5.43 |
% 21.31/5.43 |-The branch is then unsatisfiable
% 21.31/5.43 |-Branch two:
% 21.31/5.43 | (588) ~ (unit2 = e23)
% 21.31/5.43 | (589) unit2 = e22 | unit2 = e21
% 21.31/5.43 |
% 21.31/5.43 +-Applying beta-rule and splitting (589), into two cases.
% 21.31/5.43 |-Branch one:
% 21.31/5.43 | (590) unit2 = e21
% 21.31/5.43 |
% 21.31/5.43 | Equations (590) can reduce 579 to:
% 21.31/5.43 | (387) ~ (e21 = e20)
% 21.31/5.43 |
% 21.31/5.43 | From (590) and (416) follows:
% 21.31/5.43 | (499) op2(e21, e22) = e22
% 21.31/5.43 |
% 21.31/5.43 | From (590) and (412) follows:
% 21.31/5.43 | (700) op2(e23, e21) = e23
% 21.31/5.43 |
% 21.31/5.43 | From (590) and (339) follows:
% 21.31/5.43 | (592) op2(e20, e21) = e20
% 21.31/5.43 |
% 21.31/5.43 | Instantiating formula (148) with e23, e21, e23, e22 and discharging atoms op2(e23, e21) = e23, op2(e23, e21) = e22, yields:
% 21.31/5.43 | (551) e23 = e22
% 21.31/5.43 |
% 21.31/5.43 | Instantiating formula (148) with e21, e22, e22, e21 and discharging atoms op2(e21, e22) = e22, op2(e21, e22) = e21, yields:
% 21.31/5.43 | (584) e22 = e21
% 21.31/5.43 |
% 21.31/5.43 | Instantiating formula (148) with e20, e21, e20, e23 and discharging atoms op2(e20, e21) = e23, op2(e20, e21) = e20, yields:
% 21.31/5.43 | (688) e23 = e20
% 21.31/5.43 |
% 21.31/5.43 | Combining equations (551,688) yields a new equation:
% 21.31/5.43 | (691) e22 = e20
% 21.31/5.43 |
% 21.31/5.43 | Simplifying 691 yields:
% 21.31/5.43 | (585) e22 = e20
% 21.31/5.43 |
% 21.31/5.43 | Combining equations (584,585) yields a new equation:
% 21.31/5.43 | (601) e21 = e20
% 21.31/5.43 |
% 21.31/5.43 | Simplifying 601 yields:
% 21.31/5.43 | (586) e21 = e20
% 21.31/5.43 |
% 21.31/5.43 | Equations (586) can reduce 387 to:
% 21.31/5.43 | (508) $false
% 21.31/5.43 |
% 21.31/5.43 |-The branch is then unsatisfiable
% 21.31/5.43 |-Branch two:
% 21.31/5.43 | (595) ~ (unit2 = e21)
% 21.31/5.43 | (596) unit2 = e22
% 21.31/5.43 |
% 21.31/5.43 | Equations (596) can reduce 579 to:
% 21.31/5.43 | (424) ~ (e22 = e20)
% 21.31/5.43 |
% 21.31/5.43 | From (596) and (116) follows:
% 21.31/5.43 | (667) op2(e22, e23) = e23
% 21.31/5.43 |
% 21.31/5.43 | From (596) and (146) follows:
% 21.31/5.43 | (597) op2(e22, e20) = e20
% 21.31/5.43 |
% 21.31/5.43 | Instantiating formula (148) with e22, e23, e23, e22 and discharging atoms op2(e22, e23) = e23, op2(e22, e23) = e22, yields:
% 21.31/5.43 | (551) e23 = e22
% 21.31/5.43 |
% 21.31/5.43 | Instantiating formula (148) with e22, e20, e20, e23 and discharging atoms op2(e22, e20) = e23, op2(e22, e20) = e20, yields:
% 21.31/5.43 | (688) e23 = e20
% 21.31/5.43 |
% 21.31/5.43 | Combining equations (688,551) yields a new equation:
% 21.31/5.43 | (585) e22 = e20
% 21.31/5.43 |
% 21.31/5.43 | Equations (585) can reduce 424 to:
% 21.31/5.43 | (508) $false
% 21.31/5.43 |
% 21.31/5.43 |-The branch is then unsatisfiable
% 21.31/5.43 |-Branch two:
% 21.31/5.43 | (732) ~ (all_0_215_215 = e21)
% 21.31/5.43 | (493) all_0_215_215 = e22
% 21.31/5.43 |
% 21.31/5.43 | Equations (493) can reduce 748 to:
% 21.31/5.43 | (508) $false
% 21.31/5.43 |
% 21.31/5.43 |-The branch is then unsatisfiable
% 21.31/5.43 |-Branch two:
% 21.31/5.43 | (741) ~ (all_0_209_209 = e23)
% 21.31/5.43 | (2158) all_0_215_215 = e23 | all_0_218_218 = e23
% 21.31/5.43 |
% 21.31/5.43 +-Applying beta-rule and splitting (2158), into two cases.
% 21.31/5.43 |-Branch one:
% 21.31/5.43 | (622) all_0_215_215 = e23
% 21.31/5.43 |
% 21.31/5.43 | Equations (622) can reduce 625 to:
% 21.31/5.43 | (508) $false
% 21.31/5.43 |
% 21.31/5.43 |-The branch is then unsatisfiable
% 21.31/5.43 |-Branch two:
% 21.31/5.43 | (625) ~ (all_0_215_215 = e23)
% 21.31/5.43 | (555) all_0_218_218 = e23
% 21.31/5.43 |
% 21.31/5.43 | Combining equations (739,555) yields a new equation:
% 21.31/5.43 | (551) e23 = e22
% 21.31/5.43 |
% 21.31/5.43 | Equations (551) can reduce 136 to:
% 21.31/5.43 | (508) $false
% 21.31/5.43 |
% 21.31/5.43 |-The branch is then unsatisfiable
% 21.31/5.43 |-Branch two:
% 21.31/5.43 | (617) ~ (all_0_214_214 = e23)
% 21.31/5.43 | (550) all_0_217_217 = e23
% 21.31/5.43 |
% 21.31/5.43 | Combining equations (1288,550) yields a new equation:
% 21.31/5.43 | (562) e23 = e21
% 21.31/5.43 |
% 21.31/5.43 | Equations (562) can reduce 386 to:
% 21.31/5.43 | (508) $false
% 21.31/5.43 |
% 21.31/5.43 |-The branch is then unsatisfiable
% 21.31/5.43 |-Branch two:
% 21.31/5.43 | (1282) ~ (all_0_217_217 = e21)
% 21.31/5.43 | (1291) all_0_218_218 = e21 | all_0_219_219 = e21
% 21.31/5.43 |
% 21.31/5.43 +-Applying beta-rule and splitting (1291), into two cases.
% 21.31/5.43 |-Branch one:
% 21.31/5.43 | (645) all_0_218_218 = e21
% 21.31/5.43 |
% 21.31/5.43 | Combining equations (739,645) yields a new equation:
% 21.31/5.43 | (679) e22 = e21
% 21.31/5.43 |
% 21.31/5.43 | Simplifying 679 yields:
% 21.31/5.43 | (584) e22 = e21
% 21.31/5.43 |
% 21.31/5.43 | Equations (584) can reduce 37 to:
% 21.31/5.43 | (508) $false
% 21.31/5.43 |
% 21.31/5.43 |-The branch is then unsatisfiable
% 21.31/5.43 |-Branch two:
% 21.31/5.43 | (738) ~ (all_0_218_218 = e21)
% 21.31/5.43 | (565) all_0_219_219 = e21
% 21.31/5.43 |
% 21.31/5.43 | Combining equations (565,609) yields a new equation:
% 21.31/5.43 | (562) e23 = e21
% 21.31/5.43 |
% 21.31/5.43 | Equations (562) can reduce 386 to:
% 21.31/5.43 | (508) $false
% 21.31/5.43 |
% 21.31/5.43 |-The branch is then unsatisfiable
% 21.31/5.43 |-Branch two:
% 21.31/5.43 | (502) ~ (all_0_211_211 = e22)
% 21.31/5.43 | (510) all_0_213_213 = e22
% 21.31/5.43 |
% 21.31/5.43 | Equations (510) can reduce 2247 to:
% 21.31/5.43 | (508) $false
% 21.31/5.43 |
% 21.31/5.43 |-The branch is then unsatisfiable
% 21.31/5.43 % SZS output end Proof for theBenchmark
% 21.31/5.43
% 21.31/5.43 4837ms
%------------------------------------------------------------------------------