TSTP Solution File: ALG167+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG167+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n026.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 15:37:03 EDT 2022
% Result : Theorem 9.15s 2.66s
% Output : Proof 20.51s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : ALG167+1 : TPTP v8.1.0. Released v2.7.0.
% 0.04/0.13 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.34 % Computer : n026.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Wed Jun 8 22:17:47 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.51/0.61 ____ _
% 0.51/0.61 ___ / __ \_____(_)___ ________ __________
% 0.51/0.61 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.51/0.61 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.51/0.61 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.51/0.61
% 0.51/0.61 A Theorem Prover for First-Order Logic
% 0.51/0.61 (ePrincess v.1.0)
% 0.51/0.61
% 0.51/0.61 (c) Philipp Rümmer, 2009-2015
% 0.51/0.61 (c) Peter Backeman, 2014-2015
% 0.51/0.61 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.51/0.61 Free software under GNU Lesser General Public License (LGPL).
% 0.51/0.61 Bug reports to peter@backeman.se
% 0.51/0.61
% 0.51/0.61 For more information, visit http://user.uu.se/~petba168/breu/
% 0.51/0.61
% 0.51/0.61 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.79/0.67 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 3.04/1.30 Prover 0: Preprocessing ...
% 6.16/1.94 Prover 0: Constructing countermodel ...
% 9.15/2.65 Prover 0: proved (1988ms)
% 9.15/2.66
% 9.15/2.66 No countermodel exists, formula is valid
% 9.15/2.66 % SZS status Theorem for theBenchmark
% 9.15/2.66
% 9.15/2.66 Generating proof ... found it (size 2168)
% 18.40/4.75
% 18.40/4.75 % SZS output start Proof for theBenchmark
% 18.40/4.75 Assumed formulas after preprocessing and simplification:
% 18.40/4.75 | (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] : ( ~ (v37 = v36) & ~ (v37 = v35) & ~ (v37 = v34) & ~ (v37 = v30) & ~ (v37 = v26) & ~ (v37 = v21) & ~ (v37 = e22) & ~ (v37 = e20) & ~ (v36 = v35) & ~ (v36 = v34) & ~ (v36 = v25) & ~ (v36 = v20) & ~ (v36 = e24) & ~ (v36 = e23) & ~ (v36 = e20) & ~ (v35 = v34) & ~ (v35 = v33) & ~ (v35 = v29) & ~ (v35 = v24) & ~ (v35 = v19) & ~ (v35 = e20) & ~ (v34 = v32) & ~ (v34 = v28) & ~ (v34 = v23) & ~ (v34 = e24) & ~ (v34 = e20) & ~ (v33 = v32) & ~ (v33 = v29) & ~ (v33 = v24) & ~ (v33 = v19) & ~ (v33 = e24) & ~ (v33 = e22) & ~ (v33 = e21) & ~ (v32 = v28) & ~ (v32 = v23) & ~ (v32 = e24) & ~ (v32 = e22) & ~ (v32 = e21) & ~ (v31 = v30) & ~ (v31 = v29) & ~ (v31 = v28) & ~ (v31 = v27) & ~ (v31 = v22) & ~ (v31 = e23) & ~ (v31 = e21) & ~ (v31 = e20) & ~ (v30 = v29) & ~ (v30 = v28) & ~ (v30 = v26) & ~ (v30 = v21) & ~ (v30 = e23) & ~ (v30 = e22) & ~ (v29 = v28) & ~ (v29 = v24) & ~ (v29 = v19) & ~ (v29 = e23) & ~ (v28 = v23) & ~ (v28 = e24) & ~ (v28 = e23) & ~ (v27 = v26) & ~ (v27 = v25) & ~ (v27 = v24) & ~ (v27 = v23) & ~ (v27 = v22) & ~ (v27 = e21) & ~ (v27 = e20) & ~ (v26 = v25) & ~ (v26 = v24) & ~ (v26 = v23) & ~ (v26 = v21) & ~ (v26 = e22) & ~ (v25 = v24) & ~ (v25 = v23) & ~ (v25 = v20) & ~ (v25 = e24) & ~ (v25 = e23) & ~ (v24 = v23) & ~ (v24 = v19) & ~ (v23 = e24) & ~ (v22 = v21) & ~ (v22 = v20) & ~ (v22 = v19) & ~ (v22 = e24) & ~ (v22 = e21) & ~ (v22 = e20) & ~ (v21 = v20) & ~ (v21 = v19) & ~ (v21 = e24) & ~ (v21 = e22) & ~ (v20 = v19) & ~ (v20 = e24) & ~ (v20 = e23) & ~ (v19 = e24) & ~ (v18 = v17) & ~ (v18 = v16) & ~ (v18 = v15) & ~ (v18 = v11) & ~ (v18 = v7) & ~ (v18 = v2) & ~ (v18 = e12) & ~ (v18 = e10) & ~ (v17 = v16) & ~ (v17 = v15) & ~ (v17 = v6) & ~ (v17 = v1) & ~ (v17 = e14) & ~ (v17 = e13) & ~ (v17 = e10) & ~ (v16 = v15) & ~ (v16 = v14) & ~ (v16 = v10) & ~ (v16 = v5) & ~ (v16 = v0) & ~ (v16 = e10) & ~ (v15 = v13) & ~ (v15 = v9) & ~ (v15 = v4) & ~ (v15 = e14) & ~ (v15 = e10) & ~ (v14 = v13) & ~ (v14 = v10) & ~ (v14 = v5) & ~ (v14 = v0) & ~ (v14 = e14) & ~ (v14 = e12) & ~ (v14 = e11) & ~ (v13 = v9) & ~ (v13 = v4) & ~ (v13 = e14) & ~ (v13 = e12) & ~ (v13 = e11) & ~ (v12 = v11) & ~ (v12 = v10) & ~ (v12 = v9) & ~ (v12 = v8) & ~ (v12 = v3) & ~ (v12 = e13) & ~ (v12 = e11) & ~ (v12 = e10) & ~ (v11 = v10) & ~ (v11 = v9) & ~ (v11 = v7) & ~ (v11 = v2) & ~ (v11 = e13) & ~ (v11 = e12) & ~ (v10 = v9) & ~ (v10 = v5) & ~ (v10 = v0) & ~ (v10 = e13) & ~ (v9 = v4) & ~ (v9 = e14) & ~ (v9 = e13) & ~ (v8 = v7) & ~ (v8 = v6) & ~ (v8 = v5) & ~ (v8 = v4) & ~ (v8 = v3) & ~ (v8 = e11) & ~ (v8 = e10) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v2) & ~ (v7 = e12) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v1) & ~ (v6 = e14) & ~ (v6 = e13) & ~ (v5 = v4) & ~ (v5 = v0) & ~ (v4 = e14) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v3 = e14) & ~ (v3 = e11) & ~ (v3 = e10) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v2 = e14) & ~ (v2 = e12) & ~ (v1 = v0) & ~ (v1 = e14) & ~ (v1 = e13) & ~ (v0 = e14) & ~ (e24 = e23) & ~ (e24 = e22) & ~ (e24 = e21) & ~ (e24 = e20) & ~ (e24 = e14) & ~ (e24 = e13) & ~ (e24 = e12) & ~ (e24 = e11) & ~ (e24 = e10) & ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e23 = e14) & ~ (e23 = e13) & ~ (e23 = e12) & ~ (e23 = e11) & ~ (e23 = e10) & ~ (e22 = e21) & ~ (e22 = e20) & ~ (e22 = e14) & ~ (e22 = e13) & ~ (e22 = e12) & ~ (e22 = e11) & ~ (e22 = e10) & ~ (e21 = e20) & ~ (e21 = e14) & ~ (e21 = e13) & ~ (e21 = e12) & ~ (e21 = e11) & ~ (e21 = e10) & ~ (e20 = e14) & ~ (e20 = e13) & ~ (e20 = e12) & ~ (e20 = e11) & ~ (e20 = e10) & ~ (e14 = e13) & ~ (e14 = e12) & ~ (e14 = e11) & ~ (e14 = e10) & ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = e10) & ~ (e11 = e10) & op1(v18, e11) = e13 & op1(v17, v12) = e12 & op1(v16, v8) = e11 & op1(v15, v3) = e10 & op1(v14, v7) = e11 & op1(v13, v2) = e10 & op1(v12, v17) = e14 & op1(v11, e14) = e13 & op1(v10, v6) = e11 & op1(v9, v1) = e10 & op1(v8, v16) = e14 & op1(v7, v14) = e13 & op1(v6, v10) = e12 & op1(v5, v5) = e11 & op1(v4, v0) = e10 & op1(v3, v15) = e14 & op1(v2, v13) = e13 & op1(v1, v9) = e12 & op1(v0, v4) = e11 & op1(e14, v11) = e12 & op1(e14, e14) = e10 & op1(e14, e13) = v18 & op1(e14, e12) = v17 & op1(e14, e11) = v16 & op1(e14, e10) = v15 & op1(e13, e14) = e11 & op1(e13, e13) = e12 & op1(e13, e12) = e14 & op1(e13, e11) = v14 & op1(e13, e10) = v13 & op1(e12, e14) = v12 & op1(e12, e13) = v11 & op1(e12, e12) = e13 & op1(e12, e11) = v10 & op1(e12, e10) = v9 & op1(e11, v18) = e14 & op1(e11, e14) = v8 & op1(e11, e13) = v7 & op1(e11, e12) = v6 & op1(e11, e11) = v5 & op1(e11, e10) = v4 & op1(e10, e14) = v3 & op1(e10, e13) = v2 & op1(e10, e12) = v1 & op1(e10, e11) = v0 & op1(e10, e10) = e14 & h1(v18) = v84 & h1(v17) = v82 & h1(v16) = v80 & h1(v15) = v78 & h1(v14) = v75 & h1(v13) = v73 & h1(v12) = v71 & h1(v11) = v70 & h1(v10) = v68 & h1(v9) = v66 & h1(v8) = v64 & h1(v7) = v62 & h1(v6) = v60 & h1(v5) = v58 & h1(v4) = v56 & h1(v3) = v54 & h1(v2) = v52 & h1(v1) = v50 & h1(v0) = v48 & h1(e14) = v22 & h1(e13) = e20 & h1(e12) = e24 & h1(e11) = v39 & h1(e10) = v38 & h2(v18) = v127 & h2(v17) = v125 & h2(v16) = v123 & h2(v15) = v121 & h2(v14) = v117 & h2(v13) = v115 & h2(v12) = v113 & h2(v11) = v111 & h2(v10) = v108 & h2(v9) = v106 & h2(v8) = v104 & h2(v7) = v102 & h2(v6) = v100 & h2(v5) = v98 & h2(v4) = v96 & h2(v3) = v94 & h2(v2) = v92 & h2(v1) = v90 & h2(v0) = v88 & h2(e14) = v41 & h2(e13) = e21 & h2(e12) = v24 & h2(e11) = v42 & h2(e10) = v40 & h3(v18) = v167 & h3(v17) = v165 & h3(v16) = v163 & h3(v15) = v161 & h3(v14) = v158 & h3(v13) = v156 & h3(v12) = v154 & h3(v11) = v153 & h3(v10) = v151 & h3(v9) = v149 & h3(v8) = v147 & h3(v7) = v145 & h3(v6) = v143 & h3(v5) = v141 & h3(v4) = v139 & h3(v3) = v137 & h3(v2) = v135 & h3(v1) = v133 & h3(v0) = v131 & h3(e14) = v30 & h3(e13) = e22 & h3(e12) = e23 & h3(e11) = v44 & h3(e10) = v43 & h4(v18) = v188 & h4(v17) = v187 & h4(v16) = v186 & h4(v15) = v185 & h4(v14) = v184 & h4(v13) = v183 & h4(v12) = v182 & h4(v11) = v181 & h4(v10) = v180 & h4(v9) = v179 & h4(v8) = v178 & h4(v7) = v177 & h4(v6) = v176 & h4(v5) = v175 & h4(v4) = v174 & h4(v3) = v173 & h4(v2) = v172 & h4(v1) = v171 & h4(v0) = v170 & h4(e14) = e24 & h4(e13) = e23 & h4(e12) = e22 & h4(e11) = e21 & h4(e10) = e20 & h5(v18) = v226 & h5(v17) = v224 & h5(v16) = v222 & h5(v15) = v220 & h5(v14) = v217 & h5(v13) = v215 & h5(v12) = v213 & h5(v11) = v212 & h5(v10) = v210 & h5(v9) = v208 & h5(v8) = v206 & h5(v7) = v204 & h5(v6) = v202 & h5(v5) = v200 & h5(v4) = v198 & h5(v3) = v196 & h5(v2) = v194 & h5(v1) = v192 & h5(v0) = v190 & h5(e14) = v34 & h5(e13) = e24 & h5(e12) = e20 & h5(e11) = v46 & h5(e10) = v45 & op2(v46, v46) = v201 & op2(v46, v45) = v199 & op2(v46, v34) = v207 & op2(v46, e24) = v205 & op2(v46, e20) = v203 & op2(v45, v46) = v191 & op2(v45, v45) = v189 & op2(v45, v34) = v197 & op2(v45, e24) = v195 & op2(v45, e20) = v193 & op2(v44, v44) = v142 & op2(v44, v43) = v140 & op2(v44, v30) = v148 & op2(v44, e23) = v144 & op2(v44, e22) = v146 & op2(v43, v44) = v132 & op2(v43, v43) = v130 & op2(v43, v30) = v138 & op2(v43, e23) = v134 & op2(v43, e22) = v136 & op2(v42, v42) = v99 & op2(v42, v41) = v105 & op2(v42, v40) = v97 & op2(v42, v24) = v101 & op2(v42, e21) = v103 & op2(v41, v42) = v124 & op2(v41, v41) = v129 & op2(v41, v41) = v40 & op2(v41, v40) = v122 & op2(v41, v24) = v126 & op2(v41, e21) = v128 & op2(v40, v42) = v89 & op2(v40, v41) = v95 & op2(v40, v40) = v87 & op2(v40, v24) = v91 & op2(v40, e21) = v93 & op2(v39, v39) = v59 & op2(v39, v38) = v57 & op2(v39, v22) = v65 & op2(v39, e24) = v61 & op2(v39, e20) = v63 & op2(v38, v39) = v49 & op2(v38, v38) = v47 & op2(v38, v22) = v55 & op2(v38, e24) = v51 & op2(v38, e20) = v53 & op2(v37, e21) = e23 & op2(v36, v31) = e22 & op2(v35, v27) = e21 & op2(v34, v46) = v223 & op2(v34, v45) = v221 & op2(v34, v34) = v228 & op2(v34, v34) = v45 & op2(v34, v22) = e20 & op2(v34, e24) = v227 & op2(v34, e20) = v225 & op2(v33, v26) = e21 & op2(v32, v21) = e20 & op2(v31, v36) = e24 & op2(v30, v44) = v164 & op2(v30, v43) = v162 & op2(v30, v30) = v169 & op2(v30, v30) = v43 & op2(v30, e24) = e23 & op2(v30, e23) = v166 & op2(v30, e22) = v168 & op2(v29, v25) = e21 & op2(v28, v20) = e20 & op2(v27, v35) = e24 & op2(v26, v33) = e23 & op2(v25, v29) = e22 & op2(v24, v42) = v109 & op2(v24, v41) = v114 & op2(v24, v40) = v107 & op2(v24, v24) = v110 & op2(v24, v24) = e21 & op2(v24, e21) = v112 & op2(v23, v19) = e20 & op2(v22, v39) = v81 & op2(v22, v38) = v79 & op2(v22, v34) = e24 & op2(v22, v22) = v86 & op2(v22, v22) = v38 & op2(v22, e24) = v83 & op2(v22, e20) = v85 & op2(v21, v32) = e23 & op2(v20, v28) = e22 & op2(v19, v23) = e21 & op2(e24, v46) = v218 & op2(e24, v45) = v216 & op2(e24, v39) = v69 & op2(e24, v38) = v67 & op2(e24, v34) = v219 & op2(e24, v34) = v46 & op2(e24, v30) = e22 & op2(e24, v22) = v72 & op2(e24, e24) = e20 & op2(e24, e23) = v37 & op2(e24, e22) = v36 & op2(e24, e21) = v35 & op2(e24, e20) = v34 & op2(e23, v44) = v152 & op2(e23, v43) = v150 & op2(e23, v30) = v155 & op2(e23, e24) = e21 & op2(e23, e23) = e22 & op2(e23, e22) = e24 & op2(e23, e21) = v33 & op2(e23, e20) = v32 & op2(e22, v44) = v159 & op2(e22, v43) = v157 & op2(e22, v30) = v160 & op2(e22, v30) = v44 & op2(e22, e24) = v31 & op2(e22, e23) = v30 & op2(e22, e22) = e23 & op2(e22, e21) = v29 & op2(e22, e20) = v28 & op2(e21, v42) = v118 & op2(e21, v41) = v120 & op2(e21, v41) = v42 & op2(e21, v40) = v116 & op2(e21, v37) = e24 & op2(e21, v24) = v119 & op2(e21, v24) = v41 & op2(e21, e24) = v27 & op2(e21, e23) = v26 & op2(e21, e22) = v25 & op2(e21, e21) = v24 & op2(e21, e20) = v23 & op2(e20, v46) = v211 & op2(e20, v45) = v209 & op2(e20, v39) = v76 & op2(e20, v38) = v74 & op2(e20, v34) = v214 & op2(e20, v22) = v77 & op2(e20, v22) = v39 & op2(e20, e24) = v22 & op2(e20, e23) = v21 & op2(e20, e22) = v20 & op2(e20, e21) = v19 & op2(e20, e20) = e24 & ! [v229] : ! [v230] : ! [v231] : ! [v232] : (v230 = v229 | ~ (op1(v232, v231) = v230) | ~ (op1(v232, v231) = v229)) & ! [v229] : ! [v230] : ! [v231] : ! [v232] : (v230 = v229 | ~ (op2(v232, v231) = v230) | ~ (op2(v232, v231) = v229)) & ! [v229] : ! [v230] : ! [v231] : (v230 = v229 | ~ (h1(v231) = v230) | ~ (h1(v231) = v229)) & ! [v229] : ! [v230] : ! [v231] : (v230 = v229 | ~ (h2(v231) = v230) | ~ (h2(v231) = v229)) & ! [v229] : ! [v230] : ! [v231] : (v230 = v229 | ~ (h3(v231) = v230) | ~ (h3(v231) = v229)) & ! [v229] : ! [v230] : ! [v231] : (v230 = v229 | ~ (h4(v231) = v230) | ~ (h4(v231) = v229)) & ! [v229] : ! [v230] : ! [v231] : (v230 = v229 | ~ (h5(v231) = v230) | ~ (h5(v231) = v229)) & ( ~ (v228 = v45) | ~ (v227 = v226) | ~ (v225 = v224) | ~ (v223 = v222) | ~ (v221 = v220) | ~ (v219 = v46) | ~ (v218 = v217) | ~ (v216 = v215) | ~ (v214 = v213) | ~ (v212 = v22) | ~ (v211 = v210) | ~ (v209 = v208) | ~ (v207 = v206) | ~ (v205 = v204) | ~ (v203 = v202) | ~ (v201 = v200) | ~ (v199 = v198) | ~ (v197 = v196) | ~ (v195 = v194) | ~ (v193 = v192) | ~ (v191 = v190) | ~ (v189 = v34) | ( ~ (v46 = e23) & ~ (v45 = e23) & ~ (v34 = e23)) | ( ~ (v46 = e22) & ~ (v45 = e22) & ~ (v34 = e22)) | ( ~ (v46 = e21) & ~ (v45 = e21) & ~ (v34 = e21))) & ( ~ (v188 = v37) | ~ (v187 = v36) | ~ (v186 = v35) | ~ (v185 = v34) | ~ (v184 = v33) | ~ (v183 = v32) | ~ (v182 = v31) | ~ (v181 = v30) | ~ (v180 = v29) | ~ (v179 = v28) | ~ (v178 = v27) | ~ (v177 = v26) | ~ (v176 = v25) | ~ (v175 = v24) | ~ (v174 = v23) | ~ (v173 = v22) | ~ (v172 = v21) | ~ (v171 = v20) | ~ (v170 = v19)) & ( ~ (v169 = v43) | ~ (v168 = v167) | ~ (v166 = v165) | ~ (v164 = v163) | ~ (v162 = v161) | ~ (v160 = v44) | ~ (v159 = v158) | ~ (v157 = v156) | ~ (v155 = v154) | ~ (v153 = e24) | ~ (v152 = v151) | ~ (v150 = v149) | ~ (v148 = v147) | ~ (v146 = v145) | ~ (v144 = v143) | ~ (v142 = v141) | ~ (v140 = v139) | ~ (v138 = v137) | ~ (v136 = v135) | ~ (v134 = v133) | ~ (v132 = v131) | ~ (v130 = v30) | ( ~ (v44 = e24) & ~ (v43 = e24) & ~ (v30 = e24)) | ( ~ (v44 = e21) & ~ (v43 = e21) & ~ (v30 = e21)) | ( ~ (v44 = e20) & ~ (v43 = e20) & ~ (v30 = e20))) & ( ~ (v129 = v40) | ~ (v128 = v127) | ~ (v126 = v125) | ~ (v124 = v123) | ~ (v122 = v121) | ~ (v120 = v42) | ~ (v119 = v41) | ~ (v118 = v117) | ~ (v116 = v115) | ~ (v114 = v113) | ~ (v112 = v111) | ~ (v110 = e21) | ~ (v109 = v108) | ~ (v107 = v106) | ~ (v105 = v104) | ~ (v103 = v102) | ~ (v101 = v100) | ~ (v99 = v98) | ~ (v97 = v96) | ~ (v95 = v94) | ~ (v93 = v92) | ~ (v91 = v90) | ~ (v89 = v88) | ~ (v87 = v41) | ( ~ (v42 = e24) & ~ (v41 = e24) & ~ (v40 = e24) & ~ (v24 = e24)) | ( ~ (v42 = e23) & ~ (v41 = e23) & ~ (v40 = e23) & ~ (v24 = e23)) | ( ~ (v42 = e22) & ~ (v41 = e22) & ~ (v40 = e22) & ~ (v24 = e22)) | ( ~ (v42 = e20) & ~ (v41 = e20) & ~ (v40 = e20) & ~ (v24 = e20))) & ( ~ (v86 = v38) | ~ (v85 = v84) | ~ (v83 = v82) | ~ (v81 = v80) | ~ (v79 = v78) | ~ (v77 = v39) | ~ (v76 = v75) | ~ (v74 = v73) | ~ (v72 = v71) | ~ (v70 = v34) | ~ (v69 = v68) | ~ (v67 = v66) | ~ (v65 = v64) | ~ (v63 = v62) | ~ (v61 = v60) | ~ (v59 = v58) | ~ (v57 = v56) | ~ (v55 = v54) | ~ (v53 = v52) | ~ (v51 = v50) | ~ (v49 = v48) | ~ (v47 = v22) | ( ~ (v39 = e23) & ~ (v38 = e23) & ~ (v22 = e23)) | ( ~ (v39 = e22) & ~ (v38 = e22) & ~ (v22 = e22)) | ( ~ (v39 = e21) & ~ (v38 = e21))) & ( ~ (v32 = e20) | ( ~ (v37 = e23) & ~ (v36 = e22) & ~ (v35 = e21)) | ( ~ (v31 = e24) & ~ (v29 = e21) & ~ (v28 = e20)) | ( ~ (v27 = e24) & ~ (v26 = e23) & ~ (v25 = e22) & ~ (v24 = e21) & ~ (v23 = e20)) | ( ~ (v21 = e23) & ~ (v20 = e22) & ~ (v19 = e21))) & ( ~ (v13 = e10) | ( ~ (v18 = e13) & ~ (v17 = e12) & ~ (v16 = e11)) | ( ~ (v12 = e14) & ~ (v10 = e11) & ~ (v9 = e10)) | ( ~ (v8 = e14) & ~ (v7 = e13) & ~ (v6 = e12) & ~ (v5 = e11) & ~ (v4 = e10)) | ( ~ (v2 = e13) & ~ (v1 = e12) & ~ (v0 = e11))) & (v37 = e24 | v37 = e23 | v37 = e21) & (v37 = e24 | v35 = e24) & (v37 = e24 | v30 = e24 | v26 = e24) & (v37 = e23 | v35 = e23 | v34 = e23) & (v37 = e23 | v26 = e23 | v21 = e23) & (v37 = e21 | v36 = e21 | v35 = e21 | v34 = e21) & (v37 = e21 | v30 = e21 | v26 = e21 | v21 = e21) & (v36 = e22 | v36 = e21) & (v36 = e22 | v35 = e22 | v34 = e22) & (v36 = e22 | v25 = e22 | v20 = e22) & (v36 = e21 | v25 = e21 | v20 = e21) & (v35 = e24 | v35 = e23 | v35 = e22 | v35 = e21) & (v35 = e24 | v29 = e24 | v24 = e24) & (v35 = e23 | v33 = e23 | v24 = e23 | v19 = e23) & (v35 = e22 | v29 = e22 | v24 = e22 | v19 = e22) & (v35 = e21 | v29 = e21 | v24 = e21 | v19 = e21) & (v34 = e23 | v34 = e22 | v34 = e21) & (v34 = e23 | v32 = e23 | v23 = e23) & (v34 = e22 | v28 = e22 | v23 = e22) & (v34 = e21 | v28 = e21 | v23 = e21) & (v33 = e23 | v33 = e20) & (v33 = e23 | v32 = e23) & (v33 = e20 | v32 = e20) & (v33 = e20 | v29 = e20 | v24 = e20 | v19 = e20) & (v32 = e23 | v32 = e20) & (v32 = e20 | v28 = e20 | v23 = e20) & (v31 = e24 | v31 = e22) & (v31 = e24 | v30 = e24 | v29 = e24) & (v31 = e24 | v27 = e24) & (v31 = e22 | v29 = e22 | v28 = e22) & (v31 = e22 | v27 = e22 | v22 = e22) & (v30 = e24 | v30 = e21 | v30 = e20) & (v30 = e21 | v29 = e21 | v28 = e21) & (v30 = e20 | v29 = e20 | v28 = e20) & (v30 = e20 | v26 = e20 | v21 = e20) & (v29 = e24 | v29 = e22 | v29 = e21 | v29 = e20) & (v28 = e22 | v28 = e21 | v28 = e20) & (v27 = e24 | v27 = e23 | v27 = e22) & (v27 = e24 | v26 = e24 | v24 = e24) & (v27 = e23 | v26 = e23 | v24 = e23 | v23 = e23) & (v27 = e23 | v22 = e23) & (v27 = e22 | v25 = e22 | v24 = e22 | v23 = e22) & (v26 = e24 | v26 = e23 | v26 = e21 | v26 = e20) & (v26 = e21 | v25 = e21 | v24 = e21 | v23 = e21) & (v26 = e20 | v25 = e20 | v24 = e20 | v23 = e20) & (v25 = e22 | v25 = e21 | v25 = e20) & (v25 = e20 | v20 = e20) & (v24 = e24 | v24 = e23 | v24 = e22 | v24 = e21 | v24 = e20) & (v23 = e23 | v23 = e22 | v23 = e21 | v23 = e20) & (v22 = e23 | v22 = e22) & (v22 = e23 | v21 = e23 | v19 = e23) & (v22 = e22 | v20 = e22 | v19 = e22) & (v21 = e23 | v21 = e21 | v21 = e20) & (v21 = e21 | v20 = e21 | v19 = e21) & (v21 = e20 | v20 = e20 | v19 = e20) & (v20 = e22 | v20 = e21 | v20 = e20) & (v19 = e23 | v19 = e22 | v19 = e21 | v19 = e20) & (v18 = e14 | v18 = e13 | v18 = e11) & (v18 = e14 | v16 = e14) & (v18 = e14 | v11 = e14 | v7 = e14) & (v18 = e13 | v16 = e13 | v15 = e13) & (v18 = e13 | v7 = e13 | v2 = e13) & (v18 = e11 | v17 = e11 | v16 = e11 | v15 = e11) & (v18 = e11 | v11 = e11 | v7 = e11 | v2 = e11) & (v17 = e12 | v17 = e11) & (v17 = e12 | v16 = e12 | v15 = e12) & (v17 = e12 | v6 = e12 | v1 = e12) & (v17 = e11 | v6 = e11 | v1 = e11) & (v16 = e14 | v16 = e13 | v16 = e12 | v16 = e11) & (v16 = e14 | v10 = e14 | v5 = e14) & (v16 = e13 | v14 = e13 | v5 = e13 | v0 = e13) & (v16 = e12 | v10 = e12 | v5 = e12 | v0 = e12) & (v16 = e11 | v10 = e11 | v5 = e11 | v0 = e11) & (v15 = e13 | v15 = e12 | v15 = e11) & (v15 = e13 | v13 = e13 | v4 = e13) & (v15 = e12 | v9 = e12 | v4 = e12) & (v15 = e11 | v9 = e11 | v4 = e11) & (v14 = e13 | v14 = e10) & (v14 = e13 | v13 = e13) & (v14 = e10 | v13 = e10) & (v14 = e10 | v10 = e10 | v5 = e10 | v0 = e10) & (v13 = e13 | v13 = e10) & (v13 = e10 | v9 = e10 | v4 = e10) & (v12 = e14 | v12 = e12) & (v12 = e14 | v11 = e14 | v10 = e14) & (v12 = e14 | v8 = e14) & (v12 = e12 | v10 = e12 | v9 = e12) & (v12 = e12 | v8 = e12 | v3 = e12) & (v11 = e14 | v11 = e11 | v11 = e10) & (v11 = e11 | v10 = e11 | v9 = e11) & (v11 = e10 | v10 = e10 | v9 = e10) & (v11 = e10 | v7 = e10 | v2 = e10) & (v10 = e14 | v10 = e12 | v10 = e11 | v10 = e10) & (v9 = e12 | v9 = e11 | v9 = e10) & (v8 = e14 | v8 = e13 | v8 = e12) & (v8 = e14 | v7 = e14 | v5 = e14) & (v8 = e13 | v7 = e13 | v5 = e13 | v4 = e13) & (v8 = e13 | v3 = e13) & (v8 = e12 | v6 = e12 | v5 = e12 | v4 = e12) & (v7 = e14 | v7 = e13 | v7 = e11 | v7 = e10) & (v7 = e11 | v6 = e11 | v5 = e11 | v4 = e11) & (v7 = e10 | v6 = e10 | v5 = e10 | v4 = e10) & (v6 = e12 | v6 = e11 | v6 = e10) & (v6 = e10 | v1 = e10) & (v5 = e14 | v5 = e13 | v5 = e12 | v5 = e11 | v5 = e10) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 = e10) & (v3 = e13 | v3 = e12) & (v3 = e13 | v2 = e13 | v0 = e13) & (v3 = e12 | v1 = e12 | v0 = e12) & (v2 = e13 | v2 = e11 | v2 = e10) & (v2 = e11 | v1 = e11 | v0 = e11) & (v2 = e10 | v1 = e10 | v0 = e10) & (v1 = e12 | v1 = e11 | v1 = e10) & (v0 = e13 | v0 = e12 | v0 = e11 | v0 = e10))
% 18.55/4.82 | 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 yields:
% 18.55/4.82 | (1) ~ (all_0_191_191 = all_0_192_192) & ~ (all_0_191_191 = all_0_193_193) & ~ (all_0_191_191 = all_0_194_194) & ~ (all_0_191_191 = all_0_198_198) & ~ (all_0_191_191 = all_0_202_202) & ~ (all_0_191_191 = all_0_207_207) & ~ (all_0_191_191 = e22) & ~ (all_0_191_191 = e20) & ~ (all_0_192_192 = all_0_193_193) & ~ (all_0_192_192 = all_0_194_194) & ~ (all_0_192_192 = all_0_203_203) & ~ (all_0_192_192 = all_0_208_208) & ~ (all_0_192_192 = e24) & ~ (all_0_192_192 = e23) & ~ (all_0_192_192 = e20) & ~ (all_0_193_193 = all_0_194_194) & ~ (all_0_193_193 = all_0_195_195) & ~ (all_0_193_193 = all_0_199_199) & ~ (all_0_193_193 = all_0_204_204) & ~ (all_0_193_193 = all_0_209_209) & ~ (all_0_193_193 = e20) & ~ (all_0_194_194 = all_0_196_196) & ~ (all_0_194_194 = all_0_200_200) & ~ (all_0_194_194 = all_0_205_205) & ~ (all_0_194_194 = e24) & ~ (all_0_194_194 = e20) & ~ (all_0_195_195 = all_0_196_196) & ~ (all_0_195_195 = all_0_199_199) & ~ (all_0_195_195 = all_0_204_204) & ~ (all_0_195_195 = all_0_209_209) & ~ (all_0_195_195 = e24) & ~ (all_0_195_195 = e22) & ~ (all_0_195_195 = e21) & ~ (all_0_196_196 = all_0_200_200) & ~ (all_0_196_196 = all_0_205_205) & ~ (all_0_196_196 = e24) & ~ (all_0_196_196 = e22) & ~ (all_0_196_196 = e21) & ~ (all_0_197_197 = all_0_198_198) & ~ (all_0_197_197 = all_0_199_199) & ~ (all_0_197_197 = all_0_200_200) & ~ (all_0_197_197 = all_0_201_201) & ~ (all_0_197_197 = all_0_206_206) & ~ (all_0_197_197 = e23) & ~ (all_0_197_197 = e21) & ~ (all_0_197_197 = e20) & ~ (all_0_198_198 = all_0_199_199) & ~ (all_0_198_198 = all_0_200_200) & ~ (all_0_198_198 = all_0_202_202) & ~ (all_0_198_198 = all_0_207_207) & ~ (all_0_198_198 = e23) & ~ (all_0_198_198 = e22) & ~ (all_0_199_199 = all_0_200_200) & ~ (all_0_199_199 = all_0_204_204) & ~ (all_0_199_199 = all_0_209_209) & ~ (all_0_199_199 = e23) & ~ (all_0_200_200 = all_0_205_205) & ~ (all_0_200_200 = e24) & ~ (all_0_200_200 = e23) & ~ (all_0_201_201 = all_0_202_202) & ~ (all_0_201_201 = all_0_203_203) & ~ (all_0_201_201 = all_0_204_204) & ~ (all_0_201_201 = all_0_205_205) & ~ (all_0_201_201 = all_0_206_206) & ~ (all_0_201_201 = e21) & ~ (all_0_201_201 = e20) & ~ (all_0_202_202 = all_0_203_203) & ~ (all_0_202_202 = all_0_204_204) & ~ (all_0_202_202 = all_0_205_205) & ~ (all_0_202_202 = all_0_207_207) & ~ (all_0_202_202 = e22) & ~ (all_0_203_203 = all_0_204_204) & ~ (all_0_203_203 = all_0_205_205) & ~ (all_0_203_203 = all_0_208_208) & ~ (all_0_203_203 = e24) & ~ (all_0_203_203 = e23) & ~ (all_0_204_204 = all_0_205_205) & ~ (all_0_204_204 = all_0_209_209) & ~ (all_0_205_205 = e24) & ~ (all_0_206_206 = all_0_207_207) & ~ (all_0_206_206 = all_0_208_208) & ~ (all_0_206_206 = all_0_209_209) & ~ (all_0_206_206 = e24) & ~ (all_0_206_206 = e21) & ~ (all_0_206_206 = e20) & ~ (all_0_207_207 = all_0_208_208) & ~ (all_0_207_207 = all_0_209_209) & ~ (all_0_207_207 = e24) & ~ (all_0_207_207 = e22) & ~ (all_0_208_208 = all_0_209_209) & ~ (all_0_208_208 = e24) & ~ (all_0_208_208 = e23) & ~ (all_0_209_209 = e24) & ~ (all_0_210_210 = all_0_211_211) & ~ (all_0_210_210 = all_0_212_212) & ~ (all_0_210_210 = all_0_213_213) & ~ (all_0_210_210 = all_0_217_217) & ~ (all_0_210_210 = all_0_221_221) & ~ (all_0_210_210 = all_0_226_226) & ~ (all_0_210_210 = e12) & ~ (all_0_210_210 = e10) & ~ (all_0_211_211 = all_0_212_212) & ~ (all_0_211_211 = all_0_213_213) & ~ (all_0_211_211 = all_0_222_222) & ~ (all_0_211_211 = all_0_227_227) & ~ (all_0_211_211 = e14) & ~ (all_0_211_211 = e13) & ~ (all_0_211_211 = e10) & ~ (all_0_212_212 = all_0_213_213) & ~ (all_0_212_212 = all_0_214_214) & ~ (all_0_212_212 = all_0_218_218) & ~ (all_0_212_212 = all_0_223_223) & ~ (all_0_212_212 = all_0_228_228) & ~ (all_0_212_212 = e10) & ~ (all_0_213_213 = all_0_215_215) & ~ (all_0_213_213 = all_0_219_219) & ~ (all_0_213_213 = all_0_224_224) & ~ (all_0_213_213 = e14) & ~ (all_0_213_213 = e10) & ~ (all_0_214_214 = all_0_215_215) & ~ (all_0_214_214 = all_0_218_218) & ~ (all_0_214_214 = all_0_223_223) & ~ (all_0_214_214 = all_0_228_228) & ~ (all_0_214_214 = e14) & ~ (all_0_214_214 = e12) & ~ (all_0_214_214 = e11) & ~ (all_0_215_215 = all_0_219_219) & ~ (all_0_215_215 = all_0_224_224) & ~ (all_0_215_215 = e14) & ~ (all_0_215_215 = e12) & ~ (all_0_215_215 = e11) & ~ (all_0_216_216 = all_0_217_217) & ~ (all_0_216_216 = all_0_218_218) & ~ (all_0_216_216 = all_0_219_219) & ~ (all_0_216_216 = all_0_220_220) & ~ (all_0_216_216 = all_0_225_225) & ~ (all_0_216_216 = e13) & ~ (all_0_216_216 = e11) & ~ (all_0_216_216 = e10) & ~ (all_0_217_217 = all_0_218_218) & ~ (all_0_217_217 = all_0_219_219) & ~ (all_0_217_217 = all_0_221_221) & ~ (all_0_217_217 = all_0_226_226) & ~ (all_0_217_217 = e13) & ~ (all_0_217_217 = e12) & ~ (all_0_218_218 = all_0_219_219) & ~ (all_0_218_218 = all_0_223_223) & ~ (all_0_218_218 = all_0_228_228) & ~ (all_0_218_218 = e13) & ~ (all_0_219_219 = all_0_224_224) & ~ (all_0_219_219 = e14) & ~ (all_0_219_219 = e13) & ~ (all_0_220_220 = all_0_221_221) & ~ (all_0_220_220 = all_0_222_222) & ~ (all_0_220_220 = all_0_223_223) & ~ (all_0_220_220 = all_0_224_224) & ~ (all_0_220_220 = all_0_225_225) & ~ (all_0_220_220 = e11) & ~ (all_0_220_220 = e10) & ~ (all_0_221_221 = all_0_222_222) & ~ (all_0_221_221 = all_0_223_223) & ~ (all_0_221_221 = all_0_224_224) & ~ (all_0_221_221 = all_0_226_226) & ~ (all_0_221_221 = e12) & ~ (all_0_222_222 = all_0_223_223) & ~ (all_0_222_222 = all_0_224_224) & ~ (all_0_222_222 = all_0_227_227) & ~ (all_0_222_222 = e14) & ~ (all_0_222_222 = e13) & ~ (all_0_223_223 = all_0_224_224) & ~ (all_0_223_223 = all_0_228_228) & ~ (all_0_224_224 = e14) & ~ (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 = e14) & ~ (all_0_225_225 = e11) & ~ (all_0_225_225 = e10) & ~ (all_0_226_226 = all_0_227_227) & ~ (all_0_226_226 = all_0_228_228) & ~ (all_0_226_226 = e14) & ~ (all_0_226_226 = e12) & ~ (all_0_227_227 = all_0_228_228) & ~ (all_0_227_227 = e14) & ~ (all_0_227_227 = e13) & ~ (all_0_228_228 = e14) & ~ (e24 = e23) & ~ (e24 = e22) & ~ (e24 = e21) & ~ (e24 = e20) & ~ (e24 = e14) & ~ (e24 = e13) & ~ (e24 = e12) & ~ (e24 = e11) & ~ (e24 = e10) & ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e23 = e14) & ~ (e23 = e13) & ~ (e23 = e12) & ~ (e23 = e11) & ~ (e23 = e10) & ~ (e22 = e21) & ~ (e22 = e20) & ~ (e22 = e14) & ~ (e22 = e13) & ~ (e22 = e12) & ~ (e22 = e11) & ~ (e22 = e10) & ~ (e21 = e20) & ~ (e21 = e14) & ~ (e21 = e13) & ~ (e21 = e12) & ~ (e21 = e11) & ~ (e21 = e10) & ~ (e20 = e14) & ~ (e20 = e13) & ~ (e20 = e12) & ~ (e20 = e11) & ~ (e20 = e10) & ~ (e14 = e13) & ~ (e14 = e12) & ~ (e14 = e11) & ~ (e14 = e10) & ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = e10) & ~ (e11 = e10) & op1(all_0_210_210, e11) = e13 & op1(all_0_211_211, all_0_216_216) = e12 & op1(all_0_212_212, all_0_220_220) = e11 & op1(all_0_213_213, all_0_225_225) = e10 & op1(all_0_214_214, all_0_221_221) = e11 & op1(all_0_215_215, all_0_226_226) = e10 & op1(all_0_216_216, all_0_211_211) = e14 & op1(all_0_217_217, e14) = e13 & op1(all_0_218_218, all_0_222_222) = e11 & op1(all_0_219_219, all_0_227_227) = e10 & op1(all_0_220_220, all_0_212_212) = e14 & op1(all_0_221_221, all_0_214_214) = e13 & op1(all_0_222_222, all_0_218_218) = e12 & op1(all_0_223_223, all_0_223_223) = e11 & op1(all_0_224_224, all_0_228_228) = e10 & op1(all_0_225_225, all_0_213_213) = e14 & op1(all_0_226_226, all_0_215_215) = e13 & op1(all_0_227_227, all_0_219_219) = e12 & op1(all_0_228_228, all_0_224_224) = e11 & op1(e14, all_0_217_217) = e12 & op1(e14, e14) = e10 & op1(e14, e13) = all_0_210_210 & op1(e14, e12) = all_0_211_211 & op1(e14, e11) = all_0_212_212 & op1(e14, e10) = all_0_213_213 & op1(e13, e14) = e11 & op1(e13, e13) = e12 & op1(e13, e12) = e14 & op1(e13, e11) = all_0_214_214 & op1(e13, e10) = all_0_215_215 & op1(e12, e14) = all_0_216_216 & op1(e12, e13) = all_0_217_217 & op1(e12, e12) = e13 & op1(e12, e11) = all_0_218_218 & op1(e12, e10) = all_0_219_219 & op1(e11, all_0_210_210) = e14 & op1(e11, e14) = all_0_220_220 & op1(e11, e13) = all_0_221_221 & op1(e11, e12) = all_0_222_222 & op1(e11, e11) = all_0_223_223 & op1(e11, e10) = all_0_224_224 & op1(e10, e14) = all_0_225_225 & op1(e10, e13) = all_0_226_226 & op1(e10, e12) = all_0_227_227 & op1(e10, e11) = all_0_228_228 & op1(e10, e10) = e14 & h1(all_0_210_210) = all_0_144_144 & h1(all_0_211_211) = all_0_146_146 & h1(all_0_212_212) = all_0_148_148 & h1(all_0_213_213) = all_0_150_150 & h1(all_0_214_214) = all_0_153_153 & h1(all_0_215_215) = all_0_155_155 & h1(all_0_216_216) = all_0_157_157 & h1(all_0_217_217) = all_0_158_158 & h1(all_0_218_218) = all_0_160_160 & h1(all_0_219_219) = all_0_162_162 & h1(all_0_220_220) = all_0_164_164 & h1(all_0_221_221) = all_0_166_166 & h1(all_0_222_222) = all_0_168_168 & h1(all_0_223_223) = all_0_170_170 & h1(all_0_224_224) = all_0_172_172 & h1(all_0_225_225) = all_0_174_174 & h1(all_0_226_226) = all_0_176_176 & h1(all_0_227_227) = all_0_178_178 & h1(all_0_228_228) = all_0_180_180 & h1(e14) = all_0_206_206 & h1(e13) = e20 & h1(e12) = e24 & h1(e11) = all_0_189_189 & h1(e10) = all_0_190_190 & h2(all_0_210_210) = all_0_101_101 & h2(all_0_211_211) = all_0_103_103 & h2(all_0_212_212) = all_0_105_105 & h2(all_0_213_213) = all_0_107_107 & h2(all_0_214_214) = all_0_111_111 & h2(all_0_215_215) = all_0_113_113 & h2(all_0_216_216) = all_0_115_115 & h2(all_0_217_217) = all_0_117_117 & h2(all_0_218_218) = all_0_120_120 & h2(all_0_219_219) = all_0_122_122 & h2(all_0_220_220) = all_0_124_124 & h2(all_0_221_221) = all_0_126_126 & h2(all_0_222_222) = all_0_128_128 & h2(all_0_223_223) = all_0_130_130 & h2(all_0_224_224) = all_0_132_132 & h2(all_0_225_225) = all_0_134_134 & h2(all_0_226_226) = all_0_136_136 & h2(all_0_227_227) = all_0_138_138 & h2(all_0_228_228) = all_0_140_140 & h2(e14) = all_0_187_187 & h2(e13) = e21 & h2(e12) = all_0_204_204 & h2(e11) = all_0_186_186 & h2(e10) = all_0_188_188 & h3(all_0_210_210) = all_0_61_61 & h3(all_0_211_211) = all_0_63_63 & h3(all_0_212_212) = all_0_65_65 & h3(all_0_213_213) = all_0_67_67 & h3(all_0_214_214) = all_0_70_70 & h3(all_0_215_215) = all_0_72_72 & h3(all_0_216_216) = all_0_74_74 & h3(all_0_217_217) = all_0_75_75 & h3(all_0_218_218) = all_0_77_77 & h3(all_0_219_219) = all_0_79_79 & h3(all_0_220_220) = all_0_81_81 & h3(all_0_221_221) = all_0_83_83 & h3(all_0_222_222) = all_0_85_85 & h3(all_0_223_223) = all_0_87_87 & h3(all_0_224_224) = all_0_89_89 & h3(all_0_225_225) = all_0_91_91 & h3(all_0_226_226) = all_0_93_93 & h3(all_0_227_227) = all_0_95_95 & h3(all_0_228_228) = all_0_97_97 & h3(e14) = all_0_198_198 & h3(e13) = e22 & h3(e12) = e23 & h3(e11) = all_0_184_184 & h3(e10) = all_0_185_185 & h4(all_0_210_210) = all_0_40_40 & h4(all_0_211_211) = all_0_41_41 & h4(all_0_212_212) = all_0_42_42 & h4(all_0_213_213) = all_0_43_43 & h4(all_0_214_214) = all_0_44_44 & h4(all_0_215_215) = all_0_45_45 & h4(all_0_216_216) = all_0_46_46 & h4(all_0_217_217) = all_0_47_47 & h4(all_0_218_218) = all_0_48_48 & h4(all_0_219_219) = all_0_49_49 & h4(all_0_220_220) = all_0_50_50 & h4(all_0_221_221) = all_0_51_51 & h4(all_0_222_222) = all_0_52_52 & h4(all_0_223_223) = all_0_53_53 & h4(all_0_224_224) = all_0_54_54 & h4(all_0_225_225) = all_0_55_55 & h4(all_0_226_226) = all_0_56_56 & h4(all_0_227_227) = all_0_57_57 & h4(all_0_228_228) = all_0_58_58 & h4(e14) = e24 & h4(e13) = e23 & h4(e12) = e22 & h4(e11) = e21 & h4(e10) = e20 & h5(all_0_210_210) = all_0_2_2 & h5(all_0_211_211) = all_0_4_4 & h5(all_0_212_212) = all_0_6_6 & h5(all_0_213_213) = all_0_8_8 & h5(all_0_214_214) = all_0_11_11 & h5(all_0_215_215) = all_0_13_13 & h5(all_0_216_216) = all_0_15_15 & h5(all_0_217_217) = all_0_16_16 & h5(all_0_218_218) = all_0_18_18 & h5(all_0_219_219) = all_0_20_20 & h5(all_0_220_220) = all_0_22_22 & h5(all_0_221_221) = all_0_24_24 & h5(all_0_222_222) = all_0_26_26 & h5(all_0_223_223) = all_0_28_28 & h5(all_0_224_224) = all_0_30_30 & h5(all_0_225_225) = all_0_32_32 & h5(all_0_226_226) = all_0_34_34 & h5(all_0_227_227) = all_0_36_36 & h5(all_0_228_228) = all_0_38_38 & h5(e14) = all_0_194_194 & h5(e13) = e24 & h5(e12) = e20 & h5(e11) = all_0_182_182 & h5(e10) = all_0_183_183 & op2(all_0_182_182, all_0_182_182) = all_0_27_27 & op2(all_0_182_182, all_0_183_183) = all_0_29_29 & op2(all_0_182_182, all_0_194_194) = all_0_21_21 & op2(all_0_182_182, e24) = all_0_23_23 & op2(all_0_182_182, e20) = all_0_25_25 & op2(all_0_183_183, all_0_182_182) = all_0_37_37 & op2(all_0_183_183, all_0_183_183) = all_0_39_39 & op2(all_0_183_183, all_0_194_194) = all_0_31_31 & op2(all_0_183_183, e24) = all_0_33_33 & op2(all_0_183_183, e20) = all_0_35_35 & op2(all_0_184_184, all_0_184_184) = all_0_86_86 & op2(all_0_184_184, all_0_185_185) = all_0_88_88 & op2(all_0_184_184, all_0_198_198) = all_0_80_80 & op2(all_0_184_184, e23) = all_0_84_84 & op2(all_0_184_184, e22) = all_0_82_82 & op2(all_0_185_185, all_0_184_184) = all_0_96_96 & op2(all_0_185_185, all_0_185_185) = all_0_98_98 & op2(all_0_185_185, all_0_198_198) = all_0_90_90 & op2(all_0_185_185, e23) = all_0_94_94 & op2(all_0_185_185, e22) = all_0_92_92 & op2(all_0_186_186, all_0_186_186) = all_0_129_129 & op2(all_0_186_186, all_0_187_187) = all_0_123_123 & op2(all_0_186_186, all_0_188_188) = all_0_131_131 & op2(all_0_186_186, all_0_204_204) = all_0_127_127 & op2(all_0_186_186, e21) = all_0_125_125 & op2(all_0_187_187, all_0_186_186) = all_0_104_104 & op2(all_0_187_187, all_0_187_187) = all_0_99_99 & op2(all_0_187_187, all_0_187_187) = all_0_188_188 & op2(all_0_187_187, all_0_188_188) = all_0_106_106 & op2(all_0_187_187, all_0_204_204) = all_0_102_102 & op2(all_0_187_187, e21) = all_0_100_100 & op2(all_0_188_188, all_0_186_186) = all_0_139_139 & op2(all_0_188_188, all_0_187_187) = all_0_133_133 & op2(all_0_188_188, all_0_188_188) = all_0_141_141 & op2(all_0_188_188, all_0_204_204) = all_0_137_137 & op2(all_0_188_188, e21) = all_0_135_135 & op2(all_0_189_189, all_0_189_189) = all_0_169_169 & op2(all_0_189_189, all_0_190_190) = all_0_171_171 & op2(all_0_189_189, all_0_206_206) = all_0_163_163 & op2(all_0_189_189, e24) = all_0_167_167 & op2(all_0_189_189, e20) = all_0_165_165 & op2(all_0_190_190, all_0_189_189) = all_0_179_179 & op2(all_0_190_190, all_0_190_190) = all_0_181_181 & op2(all_0_190_190, all_0_206_206) = all_0_173_173 & op2(all_0_190_190, e24) = all_0_177_177 & op2(all_0_190_190, e20) = all_0_175_175 & op2(all_0_191_191, e21) = e23 & op2(all_0_192_192, all_0_197_197) = e22 & op2(all_0_193_193, all_0_201_201) = e21 & op2(all_0_194_194, all_0_182_182) = all_0_5_5 & op2(all_0_194_194, all_0_183_183) = all_0_7_7 & op2(all_0_194_194, all_0_194_194) = all_0_0_0 & op2(all_0_194_194, all_0_194_194) = all_0_183_183 & op2(all_0_194_194, all_0_206_206) = e20 & op2(all_0_194_194, e24) = all_0_1_1 & op2(all_0_194_194, e20) = all_0_3_3 & op2(all_0_195_195, all_0_202_202) = e21 & op2(all_0_196_196, all_0_207_207) = e20 & op2(all_0_197_197, all_0_192_192) = e24 & op2(all_0_198_198, all_0_184_184) = all_0_64_64 & op2(all_0_198_198, all_0_185_185) = all_0_66_66 & op2(all_0_198_198, all_0_198_198) = all_0_59_59 & op2(all_0_198_198, all_0_198_198) = all_0_185_185 & op2(all_0_198_198, e24) = e23 & op2(all_0_198_198, e23) = all_0_62_62 & op2(all_0_198_198, e22) = all_0_60_60 & op2(all_0_199_199, all_0_203_203) = e21 & op2(all_0_200_200, all_0_208_208) = e20 & op2(all_0_201_201, all_0_193_193) = e24 & op2(all_0_202_202, all_0_195_195) = e23 & op2(all_0_203_203, all_0_199_199) = e22 & op2(all_0_204_204, all_0_186_186) = all_0_119_119 & op2(all_0_204_204, all_0_187_187) = all_0_114_114 & op2(all_0_204_204, all_0_188_188) = all_0_121_121 & op2(all_0_204_204, all_0_204_204) = all_0_118_118 & op2(all_0_204_204, all_0_204_204) = e21 & op2(all_0_204_204, e21) = all_0_116_116 & op2(all_0_205_205, all_0_209_209) = e20 & op2(all_0_206_206, all_0_189_189) = all_0_147_147 & op2(all_0_206_206, all_0_190_190) = all_0_149_149 & op2(all_0_206_206, all_0_194_194) = e24 & op2(all_0_206_206, all_0_206_206) = all_0_142_142 & op2(all_0_206_206, all_0_206_206) = all_0_190_190 & op2(all_0_206_206, e24) = all_0_145_145 & op2(all_0_206_206, e20) = all_0_143_143 & op2(all_0_207_207, all_0_196_196) = e23 & op2(all_0_208_208, all_0_200_200) = e22 & op2(all_0_209_209, all_0_205_205) = e21 & op2(e24, all_0_182_182) = all_0_10_10 & op2(e24, all_0_183_183) = all_0_12_12 & op2(e24, all_0_189_189) = all_0_159_159 & op2(e24, all_0_190_190) = all_0_161_161 & op2(e24, all_0_194_194) = all_0_9_9 & op2(e24, all_0_194_194) = all_0_182_182 & op2(e24, all_0_198_198) = e22 & op2(e24, all_0_206_206) = all_0_156_156 & op2(e24, e24) = e20 & op2(e24, e23) = all_0_191_191 & op2(e24, e22) = all_0_192_192 & op2(e24, e21) = all_0_193_193 & op2(e24, e20) = all_0_194_194 & op2(e23, all_0_184_184) = all_0_76_76 & op2(e23, all_0_185_185) = all_0_78_78 & op2(e23, all_0_198_198) = all_0_73_73 & op2(e23, e24) = e21 & op2(e23, e23) = e22 & op2(e23, e22) = e24 & op2(e23, e21) = all_0_195_195 & op2(e23, e20) = all_0_196_196 & op2(e22, all_0_184_184) = all_0_69_69 & op2(e22, all_0_185_185) = all_0_71_71 & op2(e22, all_0_198_198) = all_0_68_68 & op2(e22, all_0_198_198) = all_0_184_184 & op2(e22, e24) = all_0_197_197 & op2(e22, e23) = all_0_198_198 & op2(e22, e22) = e23 & op2(e22, e21) = all_0_199_199 & op2(e22, e20) = all_0_200_200 & op2(e21, all_0_186_186) = all_0_110_110 & op2(e21, all_0_187_187) = all_0_108_108 & op2(e21, all_0_187_187) = all_0_186_186 & op2(e21, all_0_188_188) = all_0_112_112 & op2(e21, all_0_191_191) = e24 & op2(e21, all_0_204_204) = all_0_109_109 & op2(e21, all_0_204_204) = all_0_187_187 & op2(e21, e24) = all_0_201_201 & op2(e21, e23) = all_0_202_202 & op2(e21, e22) = all_0_203_203 & op2(e21, e21) = all_0_204_204 & op2(e21, e20) = all_0_205_205 & op2(e20, all_0_182_182) = all_0_17_17 & op2(e20, all_0_183_183) = all_0_19_19 & op2(e20, all_0_189_189) = all_0_152_152 & op2(e20, all_0_190_190) = all_0_154_154 & op2(e20, all_0_194_194) = all_0_14_14 & op2(e20, all_0_206_206) = all_0_151_151 & op2(e20, all_0_206_206) = all_0_189_189 & op2(e20, e24) = all_0_206_206 & op2(e20, e23) = all_0_207_207 & op2(e20, e22) = all_0_208_208 & op2(e20, e21) = all_0_209_209 & op2(e20, e20) = e24 & ! [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)) & ( ~ (all_0_0_0 = all_0_183_183) | ~ (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_182_182) | ~ (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_206_206) | ~ (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_194_194) | ( ~ (all_0_182_182 = e23) & ~ (all_0_183_183 = e23) & ~ (all_0_194_194 = e23)) | ( ~ (all_0_182_182 = e22) & ~ (all_0_183_183 = e22) & ~ (all_0_194_194 = e22)) | ( ~ (all_0_182_182 = e21) & ~ (all_0_183_183 = e21) & ~ (all_0_194_194 = e21))) & ( ~ (all_0_40_40 = all_0_191_191) | ~ (all_0_41_41 = all_0_192_192) | ~ (all_0_42_42 = all_0_193_193) | ~ (all_0_43_43 = all_0_194_194) | ~ (all_0_44_44 = all_0_195_195) | ~ (all_0_45_45 = all_0_196_196) | ~ (all_0_46_46 = all_0_197_197) | ~ (all_0_47_47 = all_0_198_198) | ~ (all_0_48_48 = all_0_199_199) | ~ (all_0_49_49 = all_0_200_200) | ~ (all_0_50_50 = all_0_201_201) | ~ (all_0_51_51 = all_0_202_202) | ~ (all_0_52_52 = all_0_203_203) | ~ (all_0_53_53 = all_0_204_204) | ~ (all_0_54_54 = all_0_205_205) | ~ (all_0_55_55 = all_0_206_206) | ~ (all_0_56_56 = all_0_207_207) | ~ (all_0_57_57 = all_0_208_208) | ~ (all_0_58_58 = all_0_209_209)) & ( ~ (all_0_59_59 = all_0_185_185) | ~ (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_184_184) | ~ (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 = e24) | ~ (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_198_198) | ( ~ (all_0_184_184 = e24) & ~ (all_0_185_185 = e24) & ~ (all_0_198_198 = e24)) | ( ~ (all_0_184_184 = e21) & ~ (all_0_185_185 = e21) & ~ (all_0_198_198 = e21)) | ( ~ (all_0_184_184 = e20) & ~ (all_0_185_185 = e20) & ~ (all_0_198_198 = e20))) & ( ~ (all_0_99_99 = all_0_188_188) | ~ (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_186_186) | ~ (all_0_109_109 = all_0_187_187) | ~ (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 = e21) | ~ (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_187_187) | ( ~ (all_0_186_186 = e24) & ~ (all_0_187_187 = e24) & ~ (all_0_188_188 = e24) & ~ (all_0_204_204 = e24)) | ( ~ (all_0_186_186 = e23) & ~ (all_0_187_187 = e23) & ~ (all_0_188_188 = e23) & ~ (all_0_204_204 = e23)) | ( ~ (all_0_186_186 = e22) & ~ (all_0_187_187 = e22) & ~ (all_0_188_188 = e22) & ~ (all_0_204_204 = e22)) | ( ~ (all_0_186_186 = e20) & ~ (all_0_187_187 = e20) & ~ (all_0_188_188 = e20) & ~ (all_0_204_204 = e20))) & ( ~ (all_0_142_142 = all_0_190_190) | ~ (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_189_189) | ~ (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_194_194) | ~ (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_206_206) | ( ~ (all_0_189_189 = e23) & ~ (all_0_190_190 = e23) & ~ (all_0_206_206 = e23)) | ( ~ (all_0_189_189 = e22) & ~ (all_0_190_190 = e22) & ~ (all_0_206_206 = e22)) | ( ~ (all_0_189_189 = e21) & ~ (all_0_190_190 = e21))) & ( ~ (all_0_196_196 = e20) | ( ~ (all_0_191_191 = e23) & ~ (all_0_192_192 = e22) & ~ (all_0_193_193 = e21)) | ( ~ (all_0_197_197 = e24) & ~ (all_0_199_199 = e21) & ~ (all_0_200_200 = e20)) | ( ~ (all_0_201_201 = e24) & ~ (all_0_202_202 = e23) & ~ (all_0_203_203 = e22) & ~ (all_0_204_204 = e21) & ~ (all_0_205_205 = e20)) | ( ~ (all_0_207_207 = e23) & ~ (all_0_208_208 = e22) & ~ (all_0_209_209 = e21))) & ( ~ (all_0_215_215 = e10) | ( ~ (all_0_210_210 = e13) & ~ (all_0_211_211 = e12) & ~ (all_0_212_212 = e11)) | ( ~ (all_0_216_216 = e14) & ~ (all_0_218_218 = e11) & ~ (all_0_219_219 = e10)) | ( ~ (all_0_220_220 = e14) & ~ (all_0_221_221 = e13) & ~ (all_0_222_222 = e12) & ~ (all_0_223_223 = e11) & ~ (all_0_224_224 = e10)) | ( ~ (all_0_226_226 = e13) & ~ (all_0_227_227 = e12) & ~ (all_0_228_228 = e11))) & (all_0_191_191 = e24 | all_0_191_191 = e23 | all_0_191_191 = e21) & (all_0_191_191 = e24 | all_0_193_193 = e24) & (all_0_191_191 = e24 | all_0_198_198 = e24 | all_0_202_202 = e24) & (all_0_191_191 = e23 | all_0_193_193 = e23 | all_0_194_194 = e23) & (all_0_191_191 = e23 | all_0_202_202 = e23 | all_0_207_207 = e23) & (all_0_191_191 = e21 | all_0_192_192 = e21 | all_0_193_193 = e21 | all_0_194_194 = e21) & (all_0_191_191 = e21 | all_0_198_198 = e21 | all_0_202_202 = e21 | all_0_207_207 = e21) & (all_0_192_192 = e22 | all_0_192_192 = e21) & (all_0_192_192 = e22 | all_0_193_193 = e22 | all_0_194_194 = e22) & (all_0_192_192 = e22 | all_0_203_203 = e22 | all_0_208_208 = e22) & (all_0_192_192 = e21 | all_0_203_203 = e21 | all_0_208_208 = e21) & (all_0_193_193 = e24 | all_0_193_193 = e23 | all_0_193_193 = e22 | all_0_193_193 = e21) & (all_0_193_193 = e24 | all_0_199_199 = e24 | all_0_204_204 = e24) & (all_0_193_193 = e23 | all_0_195_195 = e23 | all_0_204_204 = e23 | all_0_209_209 = e23) & (all_0_193_193 = e22 | all_0_199_199 = e22 | all_0_204_204 = e22 | all_0_209_209 = e22) & (all_0_193_193 = e21 | all_0_199_199 = e21 | all_0_204_204 = e21 | all_0_209_209 = e21) & (all_0_194_194 = e23 | all_0_194_194 = e22 | all_0_194_194 = e21) & (all_0_194_194 = e23 | all_0_196_196 = e23 | all_0_205_205 = e23) & (all_0_194_194 = e22 | all_0_200_200 = e22 | all_0_205_205 = e22) & (all_0_194_194 = e21 | all_0_200_200 = e21 | all_0_205_205 = e21) & (all_0_195_195 = e23 | all_0_195_195 = e20) & (all_0_195_195 = e23 | all_0_196_196 = e23) & (all_0_195_195 = e20 | all_0_196_196 = e20) & (all_0_195_195 = e20 | all_0_199_199 = e20 | all_0_204_204 = e20 | all_0_209_209 = e20) & (all_0_196_196 = e23 | all_0_196_196 = e20) & (all_0_196_196 = e20 | all_0_200_200 = e20 | all_0_205_205 = e20) & (all_0_197_197 = e24 | all_0_197_197 = e22) & (all_0_197_197 = e24 | all_0_198_198 = e24 | all_0_199_199 = e24) & (all_0_197_197 = e24 | all_0_201_201 = e24) & (all_0_197_197 = e22 | all_0_199_199 = e22 | all_0_200_200 = e22) & (all_0_197_197 = e22 | all_0_201_201 = e22 | all_0_206_206 = e22) & (all_0_198_198 = e24 | all_0_198_198 = e21 | all_0_198_198 = e20) & (all_0_198_198 = e21 | all_0_199_199 = e21 | all_0_200_200 = e21) & (all_0_198_198 = e20 | all_0_199_199 = e20 | all_0_200_200 = e20) & (all_0_198_198 = e20 | all_0_202_202 = e20 | all_0_207_207 = e20) & (all_0_199_199 = e24 | all_0_199_199 = e22 | all_0_199_199 = e21 | all_0_199_199 = e20) & (all_0_200_200 = e22 | all_0_200_200 = e21 | all_0_200_200 = e20) & (all_0_201_201 = e24 | all_0_201_201 = e23 | all_0_201_201 = e22) & (all_0_201_201 = e24 | all_0_202_202 = e24 | all_0_204_204 = e24) & (all_0_201_201 = e23 | all_0_202_202 = e23 | all_0_204_204 = e23 | all_0_205_205 = e23) & (all_0_201_201 = e23 | all_0_206_206 = e23) & (all_0_201_201 = e22 | all_0_203_203 = e22 | all_0_204_204 = e22 | all_0_205_205 = e22) & (all_0_202_202 = e24 | all_0_202_202 = e23 | all_0_202_202 = e21 | all_0_202_202 = e20) & (all_0_202_202 = e21 | all_0_203_203 = e21 | all_0_204_204 = e21 | all_0_205_205 = e21) & (all_0_202_202 = e20 | all_0_203_203 = e20 | all_0_204_204 = e20 | all_0_205_205 = e20) & (all_0_203_203 = e22 | all_0_203_203 = e21 | all_0_203_203 = e20) & (all_0_203_203 = e20 | all_0_208_208 = e20) & (all_0_204_204 = e24 | all_0_204_204 = e23 | all_0_204_204 = e22 | all_0_204_204 = e21 | all_0_204_204 = e20) & (all_0_205_205 = e23 | all_0_205_205 = e22 | all_0_205_205 = e21 | all_0_205_205 = e20) & (all_0_206_206 = e23 | all_0_206_206 = e22) & (all_0_206_206 = e23 | all_0_207_207 = e23 | all_0_209_209 = e23) & (all_0_206_206 = e22 | all_0_208_208 = e22 | all_0_209_209 = e22) & (all_0_207_207 = e23 | all_0_207_207 = e21 | all_0_207_207 = e20) & (all_0_207_207 = e21 | all_0_208_208 = e21 | all_0_209_209 = e21) & (all_0_207_207 = e20 | all_0_208_208 = e20 | all_0_209_209 = e20) & (all_0_208_208 = e22 | all_0_208_208 = e21 | all_0_208_208 = e20) & (all_0_209_209 = e23 | all_0_209_209 = e22 | all_0_209_209 = e21 | all_0_209_209 = e20) & (all_0_210_210 = e14 | all_0_210_210 = e13 | all_0_210_210 = e11) & (all_0_210_210 = e14 | all_0_212_212 = e14) & (all_0_210_210 = e14 | all_0_217_217 = e14 | all_0_221_221 = e14) & (all_0_210_210 = e13 | all_0_212_212 = e13 | all_0_213_213 = e13) & (all_0_210_210 = e13 | all_0_221_221 = e13 | all_0_226_226 = e13) & (all_0_210_210 = e11 | all_0_211_211 = e11 | all_0_212_212 = e11 | all_0_213_213 = e11) & (all_0_210_210 = e11 | all_0_217_217 = e11 | all_0_221_221 = e11 | all_0_226_226 = e11) & (all_0_211_211 = e12 | all_0_211_211 = e11) & (all_0_211_211 = e12 | all_0_212_212 = e12 | all_0_213_213 = e12) & (all_0_211_211 = e12 | all_0_222_222 = e12 | all_0_227_227 = e12) & (all_0_211_211 = e11 | all_0_222_222 = e11 | all_0_227_227 = e11) & (all_0_212_212 = e14 | all_0_212_212 = e13 | all_0_212_212 = e12 | all_0_212_212 = e11) & (all_0_212_212 = e14 | all_0_218_218 = e14 | all_0_223_223 = e14) & (all_0_212_212 = e13 | all_0_214_214 = e13 | all_0_223_223 = e13 | all_0_228_228 = e13) & (all_0_212_212 = e12 | all_0_218_218 = e12 | all_0_223_223 = e12 | all_0_228_228 = e12) & (all_0_212_212 = e11 | all_0_218_218 = e11 | all_0_223_223 = e11 | all_0_228_228 = e11) & (all_0_213_213 = e13 | all_0_213_213 = e12 | all_0_213_213 = e11) & (all_0_213_213 = e13 | all_0_215_215 = e13 | all_0_224_224 = e13) & (all_0_213_213 = e12 | all_0_219_219 = e12 | all_0_224_224 = e12) & (all_0_213_213 = e11 | all_0_219_219 = e11 | all_0_224_224 = e11) & (all_0_214_214 = e13 | all_0_214_214 = e10) & (all_0_214_214 = e13 | all_0_215_215 = e13) & (all_0_214_214 = e10 | all_0_215_215 = e10) & (all_0_214_214 = e10 | all_0_218_218 = e10 | all_0_223_223 = e10 | all_0_228_228 = e10) & (all_0_215_215 = e13 | all_0_215_215 = e10) & (all_0_215_215 = e10 | all_0_219_219 = e10 | all_0_224_224 = e10) & (all_0_216_216 = e14 | all_0_216_216 = e12) & (all_0_216_216 = e14 | all_0_217_217 = e14 | all_0_218_218 = e14) & (all_0_216_216 = e14 | all_0_220_220 = e14) & (all_0_216_216 = e12 | all_0_218_218 = e12 | all_0_219_219 = e12) & (all_0_216_216 = e12 | all_0_220_220 = e12 | all_0_225_225 = e12) & (all_0_217_217 = e14 | all_0_217_217 = e11 | all_0_217_217 = e10) & (all_0_217_217 = e11 | all_0_218_218 = e11 | all_0_219_219 = e11) & (all_0_217_217 = e10 | all_0_218_218 = e10 | all_0_219_219 = e10) & (all_0_217_217 = e10 | all_0_221_221 = e10 | all_0_226_226 = e10) & (all_0_218_218 = e14 | all_0_218_218 = e12 | all_0_218_218 = e11 | all_0_218_218 = e10) & (all_0_219_219 = e12 | all_0_219_219 = e11 | all_0_219_219 = e10) & (all_0_220_220 = e14 | all_0_220_220 = e13 | all_0_220_220 = e12) & (all_0_220_220 = e14 | all_0_221_221 = e14 | all_0_223_223 = e14) & (all_0_220_220 = e13 | all_0_221_221 = e13 | all_0_223_223 = e13 | all_0_224_224 = e13) & (all_0_220_220 = e13 | all_0_225_225 = e13) & (all_0_220_220 = e12 | all_0_222_222 = e12 | all_0_223_223 = e12 | all_0_224_224 = e12) & (all_0_221_221 = e14 | all_0_221_221 = e13 | all_0_221_221 = e11 | all_0_221_221 = e10) & (all_0_221_221 = e11 | all_0_222_222 = e11 | all_0_223_223 = e11 | all_0_224_224 = e11) & (all_0_221_221 = e10 | all_0_222_222 = e10 | all_0_223_223 = e10 | all_0_224_224 = e10) & (all_0_222_222 = e12 | all_0_222_222 = e11 | all_0_222_222 = e10) & (all_0_222_222 = e10 | all_0_227_227 = e10) & (all_0_223_223 = e14 | all_0_223_223 = e13 | all_0_223_223 = e12 | all_0_223_223 = e11 | all_0_223_223 = e10) & (all_0_224_224 = e13 | all_0_224_224 = e12 | all_0_224_224 = e11 | all_0_224_224 = e10) & (all_0_225_225 = e13 | all_0_225_225 = e12) & (all_0_225_225 = e13 | all_0_226_226 = e13 | all_0_228_228 = e13) & (all_0_225_225 = e12 | all_0_227_227 = e12 | all_0_228_228 = e12) & (all_0_226_226 = e13 | all_0_226_226 = e11 | all_0_226_226 = e10) & (all_0_226_226 = e11 | all_0_227_227 = e11 | all_0_228_228 = e11) & (all_0_226_226 = e10 | all_0_227_227 = e10 | all_0_228_228 = e10) & (all_0_227_227 = e12 | all_0_227_227 = e11 | all_0_227_227 = e10) & (all_0_228_228 = e13 | all_0_228_228 = e12 | all_0_228_228 = e11 | all_0_228_228 = e10)
% 18.82/4.85 |
% 18.82/4.85 | Applying alpha-rule on (1) yields:
% 18.82/4.85 | (2) op2(all_0_206_206, all_0_206_206) = all_0_190_190
% 18.82/4.85 | (3) all_0_214_214 = e13 | all_0_215_215 = e13
% 18.82/4.85 | (4) h5(all_0_210_210) = all_0_2_2
% 18.82/4.85 | (5) ~ (all_0_197_197 = all_0_206_206)
% 18.82/4.85 | (6) op2(all_0_185_185, e22) = all_0_92_92
% 18.82/4.85 | (7) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 18.82/4.85 | (8) all_0_195_195 = e23 | all_0_196_196 = e23
% 18.93/4.85 | (9) op2(all_0_202_202, all_0_195_195) = e23
% 18.93/4.85 | (10) h1(all_0_217_217) = all_0_158_158
% 18.93/4.85 | (11) all_0_210_210 = e14 | all_0_212_212 = e14
% 18.93/4.85 | (12) ~ (all_0_217_217 = all_0_221_221)
% 18.93/4.85 | (13) ~ (all_0_221_221 = all_0_223_223)
% 18.93/4.85 | (14) ~ (all_0_201_201 = all_0_203_203)
% 18.93/4.85 | (15) ~ (e14 = e10)
% 18.93/4.85 | (16) op2(e23, all_0_185_185) = all_0_78_78
% 18.93/4.85 | (17) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0))
% 18.93/4.85 | (18) op2(e20, all_0_206_206) = all_0_189_189
% 18.93/4.85 | (19) ~ (all_0_211_211 = all_0_212_212)
% 18.93/4.85 | (20) ~ (all_0_206_206 = e24)
% 18.93/4.85 | (21) op2(all_0_183_183, e20) = all_0_35_35
% 18.93/4.85 | (22) all_0_226_226 = e10 | all_0_227_227 = e10 | all_0_228_228 = e10
% 18.93/4.85 | (23) h2(all_0_220_220) = all_0_124_124
% 18.93/4.85 | (24) h1(all_0_224_224) = all_0_172_172
% 18.93/4.85 | (25) op2(all_0_188_188, e21) = all_0_135_135
% 18.93/4.85 | (26) ~ (all_0_215_215 = e10) | ( ~ (all_0_210_210 = e13) & ~ (all_0_211_211 = e12) & ~ (all_0_212_212 = e11)) | ( ~ (all_0_216_216 = e14) & ~ (all_0_218_218 = e11) & ~ (all_0_219_219 = e10)) | ( ~ (all_0_220_220 = e14) & ~ (all_0_221_221 = e13) & ~ (all_0_222_222 = e12) & ~ (all_0_223_223 = e11) & ~ (all_0_224_224 = e10)) | ( ~ (all_0_226_226 = e13) & ~ (all_0_227_227 = e12) & ~ (all_0_228_228 = e11))
% 18.93/4.85 | (27) all_0_197_197 = e24 | all_0_198_198 = e24 | all_0_199_199 = e24
% 18.93/4.85 | (28) op2(all_0_205_205, all_0_209_209) = e20
% 18.93/4.85 | (29) op2(all_0_189_189, all_0_190_190) = all_0_171_171
% 18.93/4.85 | (30) ~ (all_0_208_208 = all_0_209_209)
% 18.93/4.85 | (31) all_0_204_204 = e24 | all_0_204_204 = e23 | all_0_204_204 = e22 | all_0_204_204 = e21 | all_0_204_204 = e20
% 18.93/4.85 | (32) op2(e21, all_0_187_187) = all_0_108_108
% 18.93/4.85 | (33) ~ (all_0_197_197 = all_0_198_198)
% 18.93/4.85 | (34) all_0_194_194 = e23 | all_0_196_196 = e23 | all_0_205_205 = e23
% 18.93/4.85 | (35) ~ (e20 = e12)
% 18.93/4.85 | (36) op2(all_0_187_187, all_0_187_187) = all_0_188_188
% 18.93/4.85 | (37) ~ (all_0_193_193 = all_0_209_209)
% 18.93/4.85 | (38) ~ (all_0_197_197 = e21)
% 18.93/4.85 | (39) ~ (all_0_218_218 = all_0_228_228)
% 18.93/4.85 | (40) all_0_197_197 = e22 | all_0_201_201 = e22 | all_0_206_206 = e22
% 18.93/4.85 | (41) op2(all_0_204_204, e21) = all_0_116_116
% 18.93/4.85 | (42) all_0_210_210 = e14 | all_0_217_217 = e14 | all_0_221_221 = e14
% 18.93/4.85 | (43) h3(all_0_210_210) = all_0_61_61
% 18.93/4.85 | (44) op2(all_0_194_194, all_0_194_194) = all_0_0_0
% 18.93/4.85 | (45) all_0_194_194 = e22 | all_0_200_200 = e22 | all_0_205_205 = e22
% 18.93/4.85 | (46) ~ (all_0_191_191 = all_0_207_207)
% 18.93/4.85 | (47) op2(e23, e21) = all_0_195_195
% 18.93/4.85 | (48) op1(e11, all_0_210_210) = e14
% 18.93/4.85 | (49) ~ (all_0_194_194 = e24)
% 18.93/4.85 | (50) op2(all_0_209_209, all_0_205_205) = e21
% 18.93/4.86 | (51) all_0_205_205 = e23 | all_0_205_205 = e22 | all_0_205_205 = e21 | all_0_205_205 = e20
% 18.93/4.86 | (52) op2(all_0_185_185, all_0_185_185) = all_0_98_98
% 18.93/4.86 | (53) ~ (all_0_221_221 = all_0_226_226)
% 18.93/4.86 | (54) ~ (all_0_202_202 = all_0_207_207)
% 18.93/4.86 | (55) ~ (all_0_202_202 = all_0_205_205)
% 18.93/4.86 | (56) op2(e22, e20) = all_0_200_200
% 18.93/4.86 | (57) h4(e13) = e23
% 18.93/4.86 | (58) op2(e22, e24) = all_0_197_197
% 18.93/4.86 | (59) ~ (all_0_192_192 = all_0_203_203)
% 18.93/4.86 | (60) all_0_195_195 = e20 | all_0_196_196 = e20
% 18.93/4.86 | (61) op2(e24, all_0_183_183) = all_0_12_12
% 18.93/4.86 | (62) h2(all_0_210_210) = all_0_101_101
% 18.93/4.86 | (63) op1(all_0_222_222, all_0_218_218) = e12
% 18.93/4.86 | (64) h2(all_0_221_221) = all_0_126_126
% 18.93/4.86 | (65) op1(all_0_214_214, all_0_221_221) = e11
% 18.93/4.86 | (66) op2(e21, e22) = all_0_203_203
% 18.93/4.86 | (67) all_0_216_216 = e14 | all_0_216_216 = e12
% 18.93/4.86 | (68) h5(all_0_216_216) = all_0_15_15
% 18.93/4.86 | (69) ~ (all_0_203_203 = all_0_204_204)
% 18.93/4.86 | (70) ~ (e14 = e13)
% 18.93/4.86 | (71) ~ (all_0_226_226 = all_0_228_228)
% 18.93/4.86 | (72) ~ (all_0_210_210 = all_0_211_211)
% 18.93/4.86 | (73) op1(all_0_213_213, all_0_225_225) = e10
% 18.93/4.86 | (74) all_0_219_219 = e12 | all_0_219_219 = e11 | all_0_219_219 = e10
% 18.93/4.86 | (75) op2(all_0_187_187, all_0_188_188) = all_0_106_106
% 18.93/4.86 | (76) all_0_220_220 = e12 | all_0_222_222 = e12 | all_0_223_223 = e12 | all_0_224_224 = e12
% 18.93/4.86 | (77) op2(all_0_194_194, e24) = all_0_1_1
% 18.93/4.86 | (78) ~ (e24 = e20)
% 18.93/4.86 | (79) op2(all_0_198_198, all_0_185_185) = all_0_66_66
% 18.93/4.86 | (80) all_0_198_198 = e20 | all_0_199_199 = e20 | all_0_200_200 = e20
% 18.93/4.86 | (81) op2(e20, e23) = all_0_207_207
% 18.93/4.86 | (82) h4(all_0_210_210) = all_0_40_40
% 18.93/4.86 | (83) op2(e24, e23) = all_0_191_191
% 18.93/4.86 | (84) ~ (all_0_213_213 = all_0_219_219)
% 18.93/4.86 | (85) ~ (all_0_201_201 = all_0_206_206)
% 18.93/4.86 | (86) ~ (all_0_215_215 = e14)
% 18.93/4.86 | (87) ~ (all_0_210_210 = all_0_221_221)
% 18.93/4.86 | (88) op2(all_0_194_194, all_0_194_194) = all_0_183_183
% 18.93/4.86 | (89) op1(all_0_218_218, all_0_222_222) = e11
% 18.93/4.86 | (90) all_0_220_220 = e13 | all_0_225_225 = e13
% 18.93/4.86 | (91) ~ (all_0_193_193 = e20)
% 18.93/4.86 | (92) ~ (all_0_206_206 = all_0_208_208)
% 18.93/4.86 | (93) all_0_214_214 = e10 | all_0_215_215 = e10
% 18.93/4.86 | (94) ~ (all_0_198_198 = all_0_202_202)
% 18.93/4.86 | (95) all_0_212_212 = e13 | all_0_214_214 = e13 | all_0_223_223 = e13 | all_0_228_228 = e13
% 18.93/4.86 | (96) h3(all_0_223_223) = all_0_87_87
% 18.93/4.86 | (97) h3(all_0_221_221) = all_0_83_83
% 18.93/4.86 | (98) ~ (all_0_195_195 = e24)
% 18.93/4.86 | (99) ~ (all_0_222_222 = all_0_223_223)
% 18.93/4.86 | (100) ~ (all_0_202_202 = all_0_204_204)
% 18.93/4.86 | (101) op2(e20, all_0_190_190) = all_0_154_154
% 18.93/4.86 | (102) ~ (all_0_220_220 = all_0_221_221)
% 18.93/4.86 | (103) all_0_208_208 = e22 | all_0_208_208 = e21 | all_0_208_208 = e20
% 18.93/4.86 | (104) op2(all_0_191_191, e21) = e23
% 18.93/4.86 | (105) ~ (all_0_210_210 = e10)
% 18.93/4.86 | (106) op2(e24, all_0_198_198) = e22
% 18.93/4.86 | (107) ~ (all_0_216_216 = all_0_219_219)
% 18.93/4.86 | (108) all_0_226_226 = e11 | all_0_227_227 = e11 | all_0_228_228 = e11
% 18.93/4.86 | (109) op1(e14, e14) = e10
% 18.93/4.86 | (110) h5(all_0_227_227) = all_0_36_36
% 18.93/4.86 | (111) all_0_213_213 = e13 | all_0_215_215 = e13 | all_0_224_224 = e13
% 18.93/4.86 | (112) op2(all_0_200_200, all_0_208_208) = e20
% 18.93/4.86 | (113) op2(all_0_204_204, all_0_204_204) = all_0_118_118
% 18.93/4.86 | (114) op1(e11, e11) = all_0_223_223
% 18.93/4.86 | (115) ~ (all_0_195_195 = e22)
% 18.93/4.86 | (116) h4(e14) = e24
% 18.93/4.86 | (117) op2(all_0_185_185, all_0_184_184) = all_0_96_96
% 18.93/4.86 | (118) op2(all_0_183_183, all_0_194_194) = all_0_31_31
% 18.93/4.86 | (119) all_0_192_192 = e22 | all_0_203_203 = e22 | all_0_208_208 = e22
% 18.93/4.86 | (120) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0))
% 18.93/4.86 | (121) all_0_207_207 = e21 | all_0_208_208 = e21 | all_0_209_209 = e21
% 18.93/4.86 | (122) all_0_211_211 = e12 | all_0_222_222 = e12 | all_0_227_227 = e12
% 18.93/4.86 | (123) ~ (all_0_217_217 = e12)
% 18.93/4.86 | (124) ~ (all_0_225_225 = all_0_226_226)
% 18.93/4.86 | (125) ~ (all_0_224_224 = e14)
% 18.93/4.86 | (126) ~ (all_0_193_193 = all_0_194_194)
% 18.93/4.86 | (127) ~ (all_0_226_226 = e12)
% 18.93/4.86 | (128) h5(all_0_212_212) = all_0_6_6
% 18.93/4.86 | (129) op2(all_0_189_189, all_0_206_206) = all_0_163_163
% 18.93/4.86 | (130) h4(all_0_228_228) = all_0_58_58
% 18.93/4.86 | (131) all_0_225_225 = e13 | all_0_225_225 = e12
% 18.93/4.86 | (132) ~ (all_0_218_218 = e13)
% 18.93/4.86 | (133) op2(all_0_183_183, all_0_182_182) = all_0_37_37
% 18.93/4.86 | (134) op2(all_0_186_186, all_0_188_188) = all_0_131_131
% 18.93/4.86 | (135) h1(all_0_211_211) = all_0_146_146
% 18.93/4.86 | (136) op2(all_0_183_183, all_0_183_183) = all_0_39_39
% 18.93/4.86 | (137) all_0_202_202 = e20 | all_0_203_203 = e20 | all_0_204_204 = e20 | all_0_205_205 = e20
% 18.93/4.86 | (138) all_0_210_210 = e14 | all_0_210_210 = e13 | all_0_210_210 = e11
% 18.93/4.86 | (139) all_0_206_206 = e23 | all_0_206_206 = e22
% 18.93/4.86 | (140) ~ (e12 = e10)
% 18.93/4.86 | (141) all_0_198_198 = e21 | all_0_199_199 = e21 | all_0_200_200 = e21
% 18.93/4.86 | (142) op2(all_0_197_197, all_0_192_192) = e24
% 18.93/4.86 | (143) ~ (e22 = e12)
% 18.93/4.86 | (144) ~ (e22 = e11)
% 18.93/4.86 | (145) h2(all_0_224_224) = all_0_132_132
% 18.93/4.86 | (146) op2(all_0_184_184, all_0_184_184) = all_0_86_86
% 18.93/4.86 | (147) h2(all_0_216_216) = all_0_115_115
% 18.93/4.86 | (148) ~ (all_0_201_201 = all_0_205_205)
% 18.93/4.86 | (149) h5(e13) = e24
% 18.93/4.86 | (150) h3(all_0_220_220) = all_0_81_81
% 18.93/4.86 | (151) ~ (all_0_211_211 = all_0_222_222)
% 18.93/4.86 | (152) ~ (all_0_221_221 = all_0_222_222)
% 18.93/4.86 | (153) op2(all_0_186_186, all_0_204_204) = all_0_127_127
% 18.93/4.87 | (154) ~ (e20 = e10)
% 18.93/4.87 | (155) op1(all_0_225_225, all_0_213_213) = e14
% 18.93/4.87 | (156) op2(e20, all_0_183_183) = all_0_19_19
% 18.93/4.87 | (157) all_0_223_223 = e14 | all_0_223_223 = e13 | all_0_223_223 = e12 | all_0_223_223 = e11 | all_0_223_223 = e10
% 18.93/4.87 | (158) ~ (all_0_199_199 = all_0_204_204)
% 18.93/4.87 | (159) ~ (all_0_216_216 = all_0_217_217)
% 18.93/4.87 | (160) h1(all_0_220_220) = all_0_164_164
% 18.93/4.87 | (161) ~ (all_0_195_195 = all_0_196_196)
% 18.93/4.87 | (162) ~ (all_0_200_200 = e24)
% 18.93/4.87 | (163) op2(all_0_206_206, e24) = all_0_145_145
% 18.93/4.87 | (164) op2(e23, e23) = e22
% 18.93/4.87 | (165) ~ (all_0_194_194 = e20)
% 18.93/4.87 | (166) ~ (all_0_193_193 = all_0_204_204)
% 18.93/4.87 | (167) ~ (all_0_210_210 = e12)
% 18.93/4.87 | (168) op2(all_0_183_183, e24) = all_0_33_33
% 18.93/4.87 | (169) all_0_211_211 = e11 | all_0_222_222 = e11 | all_0_227_227 = e11
% 18.93/4.87 | (170) h4(all_0_212_212) = all_0_42_42
% 18.93/4.87 | (171) op2(e23, e24) = e21
% 18.93/4.87 | (172) ~ (e20 = e13)
% 18.93/4.87 | (173) all_0_211_211 = e12 | all_0_212_212 = e12 | all_0_213_213 = e12
% 18.93/4.87 | (174) op2(all_0_199_199, all_0_203_203) = e21
% 18.93/4.87 | (175) ~ (e13 = e10)
% 18.93/4.87 | (176) h3(all_0_228_228) = all_0_97_97
% 18.93/4.87 | (177) h2(e12) = all_0_204_204
% 18.93/4.87 | (178) all_0_225_225 = e13 | all_0_226_226 = e13 | all_0_228_228 = e13
% 18.93/4.87 | (179) all_0_201_201 = e23 | all_0_202_202 = e23 | all_0_204_204 = e23 | all_0_205_205 = e23
% 18.93/4.87 | (180) op2(e23, e20) = all_0_196_196
% 18.93/4.87 | (181) all_0_210_210 = e13 | all_0_221_221 = e13 | all_0_226_226 = e13
% 18.93/4.87 | (182) op2(all_0_182_182, e20) = all_0_25_25
% 18.93/4.87 | (183) op2(e24, all_0_189_189) = all_0_159_159
% 18.93/4.87 | (184) all_0_191_191 = e24 | all_0_198_198 = e24 | all_0_202_202 = e24
% 18.93/4.87 | (185) ~ (e23 = e12)
% 18.93/4.87 | (186) op2(e24, e21) = all_0_193_193
% 18.93/4.87 | (187) h1(e14) = all_0_206_206
% 18.93/4.87 | (188) h3(e10) = all_0_185_185
% 18.93/4.87 | (189) all_0_210_210 = e11 | all_0_211_211 = e11 | all_0_212_212 = e11 | all_0_213_213 = e11
% 18.93/4.87 | (190) op2(all_0_190_190, all_0_189_189) = all_0_179_179
% 18.93/4.87 | (191) ~ (all_0_197_197 = all_0_199_199)
% 18.93/4.87 | (192) all_0_216_216 = e14 | all_0_220_220 = e14
% 18.93/4.87 | (193) op1(all_0_220_220, all_0_212_212) = e14
% 18.93/4.87 | (194) op2(e20, all_0_182_182) = all_0_17_17
% 18.93/4.87 | (195) ~ (all_0_199_199 = all_0_200_200)
% 18.93/4.87 | (196) op2(e20, e22) = all_0_208_208
% 18.93/4.87 | (197) ~ (all_0_214_214 = all_0_218_218)
% 18.93/4.87 | (198) all_0_203_203 = e20 | all_0_208_208 = e20
% 18.93/4.87 | (199) ~ (all_0_196_196 = e22)
% 18.93/4.87 | (200) ~ (all_0_198_198 = all_0_200_200)
% 18.93/4.87 | (201) ~ (all_0_203_203 = e24)
% 18.93/4.87 | (202) op2(all_0_208_208, all_0_200_200) = e22
% 18.93/4.87 | (203) h2(all_0_226_226) = all_0_136_136
% 18.93/4.87 | (204) ~ (all_0_218_218 = all_0_219_219)
% 18.93/4.87 | (205) op2(all_0_206_206, e20) = all_0_143_143
% 18.93/4.87 | (206) h4(all_0_215_215) = all_0_45_45
% 18.93/4.87 | (207) ~ (all_0_214_214 = e12)
% 18.93/4.87 | (208) op2(e24, all_0_182_182) = all_0_10_10
% 18.93/4.87 | (209) all_0_213_213 = e11 | all_0_219_219 = e11 | all_0_224_224 = e11
% 18.93/4.87 | (210) h4(all_0_226_226) = all_0_56_56
% 18.93/4.87 | (211) ~ (all_0_59_59 = all_0_185_185) | ~ (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_184_184) | ~ (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 = e24) | ~ (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_198_198) | ( ~ (all_0_184_184 = e24) & ~ (all_0_185_185 = e24) & ~ (all_0_198_198 = e24)) | ( ~ (all_0_184_184 = e21) & ~ (all_0_185_185 = e21) & ~ (all_0_198_198 = e21)) | ( ~ (all_0_184_184 = e20) & ~ (all_0_185_185 = e20) & ~ (all_0_198_198 = e20))
% 18.93/4.87 | (212) op2(e21, all_0_187_187) = all_0_186_186
% 18.93/4.87 | (213) op2(e22, all_0_198_198) = all_0_184_184
% 18.93/4.87 | (214) ~ (e20 = e11)
% 18.93/4.87 | (215) op1(e12, e14) = all_0_216_216
% 18.93/4.87 | (216) h3(e12) = e23
% 18.93/4.87 | (217) op2(e22, all_0_198_198) = all_0_68_68
% 18.93/4.87 | (218) all_0_212_212 = e14 | all_0_218_218 = e14 | all_0_223_223 = e14
% 18.93/4.87 | (219) h5(all_0_222_222) = all_0_26_26
% 18.93/4.87 | (220) ~ (all_0_222_222 = e14)
% 18.93/4.87 | (221) all_0_200_200 = e22 | all_0_200_200 = e21 | all_0_200_200 = e20
% 18.93/4.87 | (222) all_0_191_191 = e23 | all_0_193_193 = e23 | all_0_194_194 = e23
% 18.93/4.87 | (223) h4(all_0_221_221) = all_0_51_51
% 18.93/4.87 | (224) ~ (all_0_193_193 = all_0_199_199)
% 18.93/4.87 | (225) all_0_203_203 = e22 | all_0_203_203 = e21 | all_0_203_203 = e20
% 18.93/4.87 | (226) ~ (all_0_191_191 = e22)
% 18.93/4.87 | (227) h4(all_0_225_225) = all_0_55_55
% 18.93/4.87 | (228) ~ (all_0_208_208 = e23)
% 18.93/4.87 | (229) op2(all_0_187_187, all_0_204_204) = all_0_102_102
% 18.93/4.87 | (230) op1(all_0_219_219, all_0_227_227) = e10
% 18.93/4.87 | (231) h1(all_0_213_213) = all_0_150_150
% 18.93/4.87 | (232) ~ (e23 = e11)
% 18.93/4.87 | (233) h2(all_0_211_211) = all_0_103_103
% 18.93/4.87 | (234) op1(e12, e13) = all_0_217_217
% 18.93/4.87 | (235) op1(e10, e10) = e14
% 18.93/4.87 | (236) all_0_216_216 = e12 | all_0_218_218 = e12 | all_0_219_219 = e12
% 18.93/4.87 | (237) op1(e12, e10) = all_0_219_219
% 18.93/4.87 | (238) ~ (all_0_207_207 = e22)
% 18.93/4.87 | (239) ~ (all_0_217_217 = e13)
% 18.93/4.87 | (240) ~ (all_0_211_211 = e10)
% 18.93/4.87 | (241) h5(all_0_218_218) = all_0_18_18
% 18.93/4.87 | (242) ~ (all_0_196_196 = e21)
% 18.93/4.87 | (243) all_0_210_210 = e13 | all_0_212_212 = e13 | all_0_213_213 = e13
% 18.93/4.87 | (244) op1(all_0_228_228, all_0_224_224) = e11
% 18.93/4.87 | (245) ~ (e21 = e13)
% 18.93/4.87 | (246) op2(all_0_188_188, all_0_186_186) = all_0_139_139
% 18.93/4.87 | (247) ~ (all_0_196_196 = e24)
% 18.93/4.87 | (248) h4(e11) = e21
% 18.93/4.87 | (249) op2(all_0_188_188, all_0_187_187) = all_0_133_133
% 18.93/4.87 | (250) h1(all_0_215_215) = all_0_155_155
% 18.93/4.87 | (251) h1(all_0_214_214) = all_0_153_153
% 18.93/4.87 | (252) all_0_198_198 = e24 | all_0_198_198 = e21 | all_0_198_198 = e20
% 18.93/4.87 | (253) ~ (all_0_214_214 = e11)
% 18.93/4.87 | (254) h4(all_0_219_219) = all_0_49_49
% 18.93/4.87 | (255) ~ (all_0_192_192 = all_0_193_193)
% 18.93/4.87 | (256) ~ (all_0_212_212 = all_0_213_213)
% 18.93/4.87 | (257) ~ (e24 = e21)
% 18.93/4.87 | (258) ~ (e21 = e20)
% 18.93/4.87 | (259) h2(all_0_222_222) = all_0_128_128
% 18.93/4.87 | (260) all_0_224_224 = e13 | all_0_224_224 = e12 | all_0_224_224 = e11 | all_0_224_224 = e10
% 18.93/4.87 | (261) op1(all_0_226_226, all_0_215_215) = e13
% 18.93/4.87 | (262) ~ (all_0_211_211 = all_0_213_213)
% 18.93/4.87 | (263) ~ (all_0_212_212 = all_0_218_218)
% 18.93/4.87 | (264) ~ (all_0_198_198 = e22)
% 18.93/4.87 | (265) h1(all_0_221_221) = all_0_166_166
% 18.93/4.87 | (266) ~ (all_0_211_211 = all_0_227_227)
% 18.93/4.87 | (267) all_0_191_191 = e24 | all_0_193_193 = e24
% 18.93/4.87 | (268) h5(e11) = all_0_182_182
% 18.93/4.87 | (269) op2(all_0_182_182, all_0_182_182) = all_0_27_27
% 18.93/4.87 | (270) all_0_191_191 = e21 | all_0_192_192 = e21 | all_0_193_193 = e21 | all_0_194_194 = e21
% 18.93/4.88 | (271) ~ (e24 = e14)
% 18.93/4.88 | (272) ~ (all_0_206_206 = e20)
% 18.93/4.88 | (273) h5(all_0_215_215) = all_0_13_13
% 18.93/4.88 | (274) ~ (all_0_216_216 = e11)
% 18.93/4.88 | (275) all_0_207_207 = e23 | all_0_207_207 = e21 | all_0_207_207 = e20
% 18.93/4.88 | (276) ~ (all_0_191_191 = e20)
% 18.93/4.88 | (277) all_0_215_215 = e10 | all_0_219_219 = e10 | all_0_224_224 = e10
% 18.93/4.88 | (278) all_0_220_220 = e14 | all_0_221_221 = e14 | all_0_223_223 = e14
% 18.93/4.88 | (279) h2(all_0_227_227) = all_0_138_138
% 18.93/4.88 | (280) all_0_213_213 = e12 | all_0_219_219 = e12 | all_0_224_224 = e12
% 18.93/4.88 | (281) all_0_201_201 = e23 | all_0_206_206 = e23
% 18.93/4.88 | (282) ~ (all_0_227_227 = e14)
% 18.93/4.88 | (283) op2(e20, e20) = e24
% 18.93/4.88 | (284) op2(all_0_190_190, all_0_206_206) = all_0_173_173
% 18.93/4.88 | (285) op2(all_0_187_187, all_0_187_187) = all_0_99_99
% 18.93/4.88 | (286) h4(e12) = e22
% 18.93/4.88 | (287) op2(all_0_186_186, e21) = all_0_125_125
% 18.93/4.88 | (288) ~ (all_0_196_196 = e20) | ( ~ (all_0_191_191 = e23) & ~ (all_0_192_192 = e22) & ~ (all_0_193_193 = e21)) | ( ~ (all_0_197_197 = e24) & ~ (all_0_199_199 = e21) & ~ (all_0_200_200 = e20)) | ( ~ (all_0_201_201 = e24) & ~ (all_0_202_202 = e23) & ~ (all_0_203_203 = e22) & ~ (all_0_204_204 = e21) & ~ (all_0_205_205 = e20)) | ( ~ (all_0_207_207 = e23) & ~ (all_0_208_208 = e22) & ~ (all_0_209_209 = e21))
% 18.93/4.88 | (289) ~ (all_0_40_40 = all_0_191_191) | ~ (all_0_41_41 = all_0_192_192) | ~ (all_0_42_42 = all_0_193_193) | ~ (all_0_43_43 = all_0_194_194) | ~ (all_0_44_44 = all_0_195_195) | ~ (all_0_45_45 = all_0_196_196) | ~ (all_0_46_46 = all_0_197_197) | ~ (all_0_47_47 = all_0_198_198) | ~ (all_0_48_48 = all_0_199_199) | ~ (all_0_49_49 = all_0_200_200) | ~ (all_0_50_50 = all_0_201_201) | ~ (all_0_51_51 = all_0_202_202) | ~ (all_0_52_52 = all_0_203_203) | ~ (all_0_53_53 = all_0_204_204) | ~ (all_0_54_54 = all_0_205_205) | ~ (all_0_55_55 = all_0_206_206) | ~ (all_0_56_56 = all_0_207_207) | ~ (all_0_57_57 = all_0_208_208) | ~ (all_0_58_58 = all_0_209_209)
% 18.93/4.88 | (290) op2(all_0_189_189, all_0_189_189) = all_0_169_169
% 18.93/4.88 | (291) h2(all_0_223_223) = all_0_130_130
% 18.93/4.88 | (292) ~ (all_0_215_215 = all_0_224_224)
% 18.93/4.88 | (293) h1(all_0_219_219) = all_0_162_162
% 18.93/4.88 | (294) op1(e14, all_0_217_217) = e12
% 18.93/4.88 | (295) all_0_202_202 = e21 | all_0_203_203 = e21 | all_0_204_204 = e21 | all_0_205_205 = e21
% 18.93/4.88 | (296) op1(all_0_210_210, e11) = e13
% 18.93/4.88 | (297) op2(all_0_206_206, all_0_206_206) = all_0_142_142
% 18.93/4.88 | (298) ~ (all_0_197_197 = all_0_201_201)
% 18.93/4.88 | (299) h1(all_0_212_212) = all_0_148_148
% 18.93/4.88 | (300) all_0_192_192 = e22 | all_0_193_193 = e22 | all_0_194_194 = e22
% 18.93/4.88 | (301) op2(e22, e21) = all_0_199_199
% 18.93/4.88 | (302) ~ (all_0_195_195 = e21)
% 18.93/4.88 | (303) ~ (all_0_204_204 = all_0_209_209)
% 18.93/4.88 | (304) ~ (e21 = e10)
% 18.93/4.88 | (305) h5(all_0_211_211) = all_0_4_4
% 18.93/4.88 | (306) h2(all_0_219_219) = all_0_122_122
% 18.93/4.88 | (307) h3(all_0_226_226) = all_0_93_93
% 18.93/4.88 | (308) ~ (all_0_222_222 = all_0_227_227)
% 18.93/4.88 | (309) all_0_209_209 = e23 | all_0_209_209 = e22 | all_0_209_209 = e21 | all_0_209_209 = e20
% 18.93/4.88 | (310) ~ (all_0_213_213 = all_0_224_224)
% 18.93/4.88 | (311) all_0_210_210 = e11 | all_0_217_217 = e11 | all_0_221_221 = e11 | all_0_226_226 = e11
% 18.93/4.88 | (312) ~ (all_0_211_211 = e13)
% 18.93/4.88 | (313) op2(e21, all_0_191_191) = e24
% 18.93/4.88 | (314) op2(all_0_184_184, all_0_198_198) = all_0_80_80
% 18.93/4.88 | (315) h5(all_0_217_217) = all_0_16_16
% 18.93/4.88 | (316) op2(all_0_187_187, all_0_186_186) = all_0_104_104
% 18.93/4.88 | (317) h4(all_0_218_218) = all_0_48_48
% 18.93/4.88 | (318) op1(all_0_215_215, all_0_226_226) = e10
% 18.93/4.88 | (319) op1(e12, e12) = e13
% 18.93/4.88 | (320) h5(all_0_224_224) = all_0_30_30
% 18.93/4.88 | (321) op1(all_0_212_212, all_0_220_220) = e11
% 18.93/4.88 | (322) op2(e24, all_0_194_194) = all_0_182_182
% 18.93/4.88 | (323) all_0_207_207 = e20 | all_0_208_208 = e20 | all_0_209_209 = e20
% 18.93/4.88 | (324) ~ (all_0_219_219 = e14)
% 18.93/4.88 | (325) all_0_197_197 = e24 | all_0_197_197 = e22
% 18.93/4.88 | (326) ~ (all_0_207_207 = e24)
% 18.93/4.88 | (327) h3(all_0_214_214) = all_0_70_70
% 18.93/4.88 | (328) op2(all_0_198_198, e23) = all_0_62_62
% 18.93/4.88 | (329) op2(e23, e22) = e24
% 18.93/4.88 | (330) ~ (all_0_223_223 = all_0_228_228)
% 18.93/4.88 | (331) op2(all_0_207_207, all_0_196_196) = e23
% 18.93/4.88 | (332) all_0_226_226 = e13 | all_0_226_226 = e11 | all_0_226_226 = e10
% 18.93/4.88 | (333) ~ (all_0_225_225 = e11)
% 18.93/4.88 | (334) all_0_197_197 = e22 | all_0_199_199 = e22 | all_0_200_200 = e22
% 18.93/4.88 | (335) ~ (all_0_192_192 = e23)
% 18.93/4.88 | (336) op2(all_0_206_206, all_0_189_189) = all_0_147_147
% 18.93/4.88 | (337) ~ (all_0_195_195 = all_0_199_199)
% 18.93/4.88 | (338) h1(all_0_226_226) = all_0_176_176
% 18.93/4.88 | (339) all_0_220_220 = e13 | all_0_221_221 = e13 | all_0_223_223 = e13 | all_0_224_224 = e13
% 18.93/4.88 | (340) h1(all_0_225_225) = all_0_174_174
% 18.93/4.88 | (341) ~ (all_0_196_196 = all_0_205_205)
% 18.93/4.88 | (342) op2(all_0_206_206, all_0_194_194) = e24
% 18.93/4.88 | (343) ~ (all_0_220_220 = e11)
% 18.93/4.88 | (344) ~ (all_0_218_218 = all_0_223_223)
% 18.93/4.88 | (345) h3(all_0_215_215) = all_0_72_72
% 18.93/4.88 | (346) ~ (all_0_225_225 = e14)
% 18.93/4.88 | (347) h4(all_0_227_227) = all_0_57_57
% 18.93/4.88 | (348) op2(e21, all_0_188_188) = all_0_112_112
% 18.93/4.88 | (349) h5(all_0_228_228) = all_0_38_38
% 18.93/4.88 | (350) ~ (all_0_228_228 = e14)
% 18.93/4.88 | (351) op1(e14, e12) = all_0_211_211
% 18.93/4.88 | (352) h5(all_0_213_213) = all_0_8_8
% 18.93/4.88 | (353) all_0_193_193 = e21 | all_0_199_199 = e21 | all_0_204_204 = e21 | all_0_209_209 = e21
% 18.93/4.88 | (354) ~ (e21 = e11)
% 18.93/4.88 | (355) ~ (all_0_142_142 = all_0_190_190) | ~ (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_189_189) | ~ (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_194_194) | ~ (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_206_206) | ( ~ (all_0_189_189 = e23) & ~ (all_0_190_190 = e23) & ~ (all_0_206_206 = e23)) | ( ~ (all_0_189_189 = e22) & ~ (all_0_190_190 = e22) & ~ (all_0_206_206 = e22)) | ( ~ (all_0_189_189 = e21) & ~ (all_0_190_190 = e21))
% 18.93/4.88 | (356) all_0_220_220 = e14 | all_0_220_220 = e13 | all_0_220_220 = e12
% 18.93/4.88 | (357) op2(e23, all_0_184_184) = all_0_76_76
% 18.93/4.88 | (358) op2(e24, e22) = all_0_192_192
% 18.93/4.88 | (359) ~ (all_0_227_227 = e13)
% 18.93/4.88 | (360) all_0_202_202 = e24 | all_0_202_202 = e23 | all_0_202_202 = e21 | all_0_202_202 = e20
% 18.93/4.88 | (361) ~ (all_0_215_215 = all_0_219_219)
% 18.93/4.88 | (362) op2(all_0_190_190, e20) = all_0_175_175
% 18.93/4.88 | (363) all_0_221_221 = e11 | all_0_222_222 = e11 | all_0_223_223 = e11 | all_0_224_224 = e11
% 18.93/4.88 | (364) op2(e20, e24) = all_0_206_206
% 18.93/4.88 | (365) op1(all_0_216_216, all_0_211_211) = e14
% 18.93/4.88 | (366) ~ (all_0_210_210 = all_0_212_212)
% 18.93/4.88 | (367) op2(all_0_198_198, all_0_184_184) = all_0_64_64
% 18.93/4.88 | (368) ~ (e11 = e10)
% 18.93/4.88 | (369) h3(all_0_222_222) = all_0_85_85
% 18.93/4.88 | (370) all_0_196_196 = e23 | all_0_196_196 = e20
% 18.93/4.88 | (371) h3(all_0_216_216) = all_0_74_74
% 18.93/4.88 | (372) all_0_198_198 = e20 | all_0_202_202 = e20 | all_0_207_207 = e20
% 18.93/4.88 | (373) ~ (all_0_206_206 = all_0_209_209)
% 18.93/4.88 | (374) ~ (e13 = e11)
% 18.93/4.88 | (375) ~ (all_0_217_217 = all_0_219_219)
% 18.93/4.88 | (376) h3(all_0_213_213) = all_0_67_67
% 18.93/4.88 | (377) ~ (all_0_206_206 = e21)
% 18.93/4.88 | (378) op2(all_0_194_194, e20) = all_0_3_3
% 18.93/4.88 | (379) op2(e21, all_0_204_204) = all_0_187_187
% 18.93/4.88 | (380) op2(e21, all_0_204_204) = all_0_109_109
% 18.93/4.89 | (381) ~ (e12 = e11)
% 18.93/4.89 | (382) ~ (all_0_191_191 = all_0_202_202)
% 18.93/4.89 | (383) ~ (e23 = e20)
% 18.93/4.89 | (384) ~ (all_0_216_216 = e10)
% 18.93/4.89 | (385) ~ (all_0_213_213 = e10)
% 18.93/4.89 | (386) ~ (all_0_194_194 = all_0_200_200)
% 18.93/4.89 | (387) all_0_227_227 = e12 | all_0_227_227 = e11 | all_0_227_227 = e10
% 18.93/4.89 | (388) op2(all_0_186_186, all_0_187_187) = all_0_123_123
% 18.93/4.89 | (389) ~ (all_0_222_222 = all_0_224_224)
% 18.93/4.89 | (390) op1(e10, e12) = all_0_227_227
% 18.93/4.89 | (391) ~ (all_0_191_191 = all_0_198_198)
% 18.93/4.89 | (392) all_0_193_193 = e22 | all_0_199_199 = e22 | all_0_204_204 = e22 | all_0_209_209 = e22
% 18.93/4.89 | (393) ~ (all_0_225_225 = all_0_227_227)
% 18.93/4.89 | (394) op2(e21, e24) = all_0_201_201
% 18.93/4.89 | (395) h4(all_0_211_211) = all_0_41_41
% 18.93/4.89 | (396) all_0_212_212 = e11 | all_0_218_218 = e11 | all_0_223_223 = e11 | all_0_228_228 = e11
% 18.93/4.89 | (397) ~ (all_0_212_212 = all_0_228_228)
% 18.93/4.89 | (398) op2(all_0_201_201, all_0_193_193) = e24
% 18.93/4.89 | (399) ~ (e22 = e21)
% 18.93/4.89 | (400) op2(all_0_204_204, all_0_204_204) = e21
% 18.93/4.89 | (401) ~ (e24 = e13)
% 18.93/4.89 | (402) h5(all_0_226_226) = all_0_34_34
% 18.93/4.89 | (403) ~ (all_0_197_197 = e20)
% 18.93/4.89 | (404) op2(all_0_188_188, all_0_204_204) = all_0_137_137
% 18.93/4.89 | (405) ~ (all_0_214_214 = all_0_228_228)
% 18.93/4.89 | (406) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 18.93/4.89 | (407) h3(e13) = e22
% 18.93/4.89 | (408) ~ (all_0_200_200 = all_0_205_205)
% 18.93/4.89 | (409) ~ (all_0_219_219 = e13)
% 18.93/4.89 | (410) op1(e13, e11) = all_0_214_214
% 18.93/4.89 | (411) ~ (all_0_203_203 = all_0_208_208)
% 18.93/4.89 | (412) op1(all_0_217_217, e14) = e13
% 18.93/4.89 | (413) h4(all_0_220_220) = all_0_50_50
% 18.93/4.89 | (414) h1(e13) = e20
% 18.93/4.89 | (415) h5(all_0_214_214) = all_0_11_11
% 18.93/4.89 | (416) h5(all_0_219_219) = all_0_20_20
% 18.93/4.89 | (417) op1(all_0_211_211, all_0_216_216) = e12
% 18.93/4.89 | (418) h4(all_0_217_217) = all_0_47_47
% 18.93/4.89 | (419) ~ (all_0_216_216 = all_0_225_225)
% 18.93/4.89 | (420) all_0_195_195 = e23 | all_0_195_195 = e20
% 18.93/4.89 | (421) all_0_195_195 = e20 | all_0_199_199 = e20 | all_0_204_204 = e20 | all_0_209_209 = e20
% 18.93/4.89 | (422) ~ (e23 = e10)
% 18.93/4.89 | (423) h2(e14) = all_0_187_187
% 18.93/4.89 | (424) op2(e21, e20) = all_0_205_205
% 18.93/4.89 | (425) ~ (all_0_191_191 = all_0_194_194)
% 18.93/4.89 | (426) ~ (all_0_216_216 = all_0_220_220)
% 18.93/4.89 | (427) all_0_193_193 = e23 | all_0_195_195 = e23 | all_0_204_204 = e23 | all_0_209_209 = e23
% 18.93/4.89 | (428) op1(e10, e13) = all_0_226_226
% 18.93/4.89 | (429) ~ (all_0_192_192 = all_0_194_194)
% 18.93/4.89 | (430) h5(all_0_225_225) = all_0_32_32
% 18.93/4.89 | (431) op1(all_0_221_221, all_0_214_214) = e13
% 18.93/4.89 | (432) ~ (all_0_225_225 = e10)
% 18.93/4.89 | (433) op1(e10, e14) = all_0_225_225
% 18.93/4.89 | (434) ~ (all_0_195_195 = all_0_209_209)
% 18.93/4.89 | (435) op2(all_0_182_182, all_0_194_194) = all_0_21_21
% 18.93/4.89 | (436) ~ (all_0_214_214 = all_0_223_223)
% 18.93/4.89 | (437) all_0_214_214 = e10 | all_0_218_218 = e10 | all_0_223_223 = e10 | all_0_228_228 = e10
% 18.93/4.89 | (438) op2(all_0_198_198, all_0_198_198) = all_0_185_185
% 18.93/4.89 | (439) op2(e20, all_0_206_206) = all_0_151_151
% 18.93/4.89 | (440) h1(all_0_228_228) = all_0_180_180
% 18.93/4.89 | (441) all_0_206_206 = e23 | all_0_207_207 = e23 | all_0_209_209 = e23
% 18.93/4.89 | (442) ~ (all_0_213_213 = all_0_215_215)
% 18.93/4.89 | (443) ~ (all_0_203_203 = all_0_205_205)
% 18.93/4.89 | (444) op2(all_0_189_189, e20) = all_0_165_165
% 18.93/4.89 | (445) ~ (all_0_202_202 = all_0_203_203)
% 18.93/4.89 | (446) op2(all_0_182_182, e24) = all_0_23_23
% 18.93/4.89 | (447) all_0_191_191 = e23 | all_0_202_202 = e23 | all_0_207_207 = e23
% 18.93/4.89 | (448) op2(e21, all_0_186_186) = all_0_110_110
% 18.93/4.89 | (449) ~ (all_0_194_194 = all_0_196_196)
% 18.93/4.89 | (450) op2(all_0_189_189, e24) = all_0_167_167
% 18.93/4.89 | (451) h1(all_0_227_227) = all_0_178_178
% 18.93/4.89 | (452) h1(all_0_216_216) = all_0_157_157
% 18.93/4.89 | (453) op2(all_0_190_190, e24) = all_0_177_177
% 18.93/4.89 | (454) ~ (e24 = e10)
% 18.93/4.89 | (455) all_0_228_228 = e13 | all_0_228_228 = e12 | all_0_228_228 = e11 | all_0_228_228 = e10
% 18.93/4.89 | (456) op1(all_0_223_223, all_0_223_223) = e11
% 18.93/4.89 | (457) h3(all_0_227_227) = all_0_95_95
% 18.93/4.89 | (458) all_0_211_211 = e12 | all_0_211_211 = e11
% 18.93/4.89 | (459) ~ (all_0_220_220 = all_0_224_224)
% 18.93/4.89 | (460) ~ (all_0_226_226 = all_0_227_227)
% 18.93/4.89 | (461) ~ (e20 = e14)
% 18.93/4.89 | (462) op2(e22, all_0_185_185) = all_0_71_71
% 18.93/4.89 | (463) op2(all_0_193_193, all_0_201_201) = e21
% 18.93/4.89 | (464) all_0_225_225 = e12 | all_0_227_227 = e12 | all_0_228_228 = e12
% 18.93/4.89 | (465) ~ (all_0_213_213 = e14)
% 18.93/4.89 | (466) h5(all_0_220_220) = all_0_22_22
% 18.93/4.89 | (467) op1(e14, e10) = all_0_213_213
% 18.93/4.89 | (468) h4(all_0_214_214) = all_0_44_44
% 18.93/4.89 | (469) all_0_201_201 = e22 | all_0_203_203 = e22 | all_0_204_204 = e22 | all_0_205_205 = e22
% 18.93/4.89 | (470) ~ (all_0_226_226 = e14)
% 18.93/4.89 | (471) op1(e11, e14) = all_0_220_220
% 18.93/4.89 | (472) op2(all_0_184_184, e22) = all_0_82_82
% 18.93/4.89 | (473) op2(all_0_198_198, all_0_198_198) = all_0_59_59
% 18.93/4.89 | (474) ~ (e24 = e11)
% 18.93/4.89 | (475) op1(e13, e12) = e14
% 18.93/4.89 | (476) h2(e10) = all_0_188_188
% 18.93/4.89 | (477) ~ (all_0_220_220 = all_0_223_223)
% 18.93/4.89 | (478) h3(all_0_218_218) = all_0_77_77
% 18.93/4.89 | (479) ~ (e22 = e20)
% 18.93/4.89 | (480) h5(all_0_223_223) = all_0_28_28
% 18.93/4.89 | (481) ~ (all_0_221_221 = all_0_224_224)
% 18.93/4.89 | (482) ~ (all_0_197_197 = all_0_200_200)
% 18.93/4.89 | (483) all_0_199_199 = e24 | all_0_199_199 = e22 | all_0_199_199 = e21 | all_0_199_199 = e20
% 18.93/4.89 | (484) op1(e12, e11) = all_0_218_218
% 18.93/4.89 | (485) op2(e20, all_0_189_189) = all_0_152_152
% 18.93/4.89 | (486) op2(e24, e20) = all_0_194_194
% 18.93/4.89 | (487) ~ (all_0_198_198 = e23)
% 18.93/4.89 | (488) all_0_217_217 = e11 | all_0_218_218 = e11 | all_0_219_219 = e11
% 18.93/4.89 | (489) ~ (all_0_198_198 = all_0_207_207)
% 18.93/4.89 | (490) ~ (all_0_191_191 = all_0_193_193)
% 18.93/4.89 | (491) op2(e20, e21) = all_0_209_209
% 18.93/4.89 | (492) ~ (all_0_207_207 = all_0_209_209)
% 18.93/4.89 | (493) op1(e10, e11) = all_0_228_228
% 18.93/4.89 | (494) op1(e13, e13) = e12
% 18.93/4.89 | (495) op2(e23, all_0_198_198) = all_0_73_73
% 18.93/4.89 | (496) ~ (all_0_201_201 = all_0_204_204)
% 18.93/4.90 | (497) op2(e24, e24) = e20
% 18.93/4.90 | (498) op1(e13, e10) = all_0_215_215
% 18.93/4.90 | (499) ~ (e24 = e22)
% 18.93/4.90 | (500) all_0_212_212 = e14 | all_0_212_212 = e13 | all_0_212_212 = e12 | all_0_212_212 = e11
% 18.93/4.90 | (501) ~ (all_0_220_220 = all_0_222_222)
% 18.93/4.90 | (502) ~ (all_0_99_99 = all_0_188_188) | ~ (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_186_186) | ~ (all_0_109_109 = all_0_187_187) | ~ (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 = e21) | ~ (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_187_187) | ( ~ (all_0_186_186 = e24) & ~ (all_0_187_187 = e24) & ~ (all_0_188_188 = e24) & ~ (all_0_204_204 = e24)) | ( ~ (all_0_186_186 = e23) & ~ (all_0_187_187 = e23) & ~ (all_0_188_188 = e23) & ~ (all_0_204_204 = e23)) | ( ~ (all_0_186_186 = e22) & ~ (all_0_187_187 = e22) & ~ (all_0_188_188 = e22) & ~ (all_0_204_204 = e22)) | ( ~ (all_0_186_186 = e20) & ~ (all_0_187_187 = e20) & ~ (all_0_188_188 = e20) & ~ (all_0_204_204 = e20))
% 18.93/4.90 | (503) op1(e11, e10) = all_0_224_224
% 18.93/4.90 | (504) op2(all_0_206_206, all_0_190_190) = all_0_149_149
% 18.93/4.90 | (505) ~ (all_0_209_209 = e24)
% 18.93/4.90 | (506) op2(all_0_198_198, e22) = all_0_60_60
% 18.93/4.90 | (507) h5(e12) = e20
% 18.93/4.90 | (508) op2(all_0_194_194, all_0_182_182) = all_0_5_5
% 18.93/4.90 | (509) ~ (all_0_196_196 = all_0_200_200)
% 18.93/4.90 | (510) all_0_222_222 = e12 | all_0_222_222 = e11 | all_0_222_222 = e10
% 18.93/4.90 | (511) ~ (all_0_210_210 = all_0_226_226)
% 18.93/4.90 | (512) h2(e11) = all_0_186_186
% 18.93/4.90 | (513) h1(e12) = e24
% 18.93/4.90 | (514) ~ (e23 = e13)
% 18.93/4.90 | (515) ~ (e21 = e14)
% 18.93/4.90 | (516) all_0_191_191 = e21 | all_0_198_198 = e21 | all_0_202_202 = e21 | all_0_207_207 = e21
% 18.93/4.90 | (517) op2(e21, e23) = all_0_202_202
% 18.93/4.90 | (518) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h5(v2) = v1) | ~ (h5(v2) = v0))
% 18.93/4.90 | (519) op2(e22, all_0_184_184) = all_0_69_69
% 18.93/4.90 | (520) ~ (all_0_219_219 = all_0_224_224)
% 18.93/4.90 | (521) all_0_214_214 = e13 | all_0_214_214 = e10
% 18.93/4.90 | (522) ~ (all_0_215_215 = e11)
% 18.93/4.90 | (523) all_0_213_213 = e13 | all_0_213_213 = e12 | all_0_213_213 = e11
% 18.93/4.90 | (524) op2(all_0_187_187, e21) = all_0_100_100
% 18.93/4.90 | (525) op1(all_0_224_224, all_0_228_228) = e10
% 18.93/4.90 | (526) ~ (all_0_192_192 = all_0_208_208)
% 18.93/4.90 | (527) ~ (all_0_198_198 = all_0_199_199)
% 18.93/4.90 | (528) h3(all_0_212_212) = all_0_65_65
% 18.93/4.90 | (529) ~ (all_0_212_212 = all_0_214_214)
% 18.93/4.90 | (530) ~ (all_0_223_223 = all_0_224_224)
% 18.93/4.90 | (531) all_0_217_217 = e10 | all_0_221_221 = e10 | all_0_226_226 = e10
% 18.93/4.90 | (532) h3(all_0_217_217) = all_0_75_75
% 18.93/4.90 | (533) ~ (all_0_215_215 = e12)
% 18.93/4.90 | (534) h1(all_0_222_222) = all_0_168_168
% 18.93/4.90 | (535) all_0_206_206 = e22 | all_0_208_208 = e22 | all_0_209_209 = e22
% 18.93/4.90 | (536) op2(all_0_204_204, all_0_188_188) = all_0_121_121
% 18.93/4.90 | (537) all_0_194_194 = e23 | all_0_194_194 = e22 | all_0_194_194 = e21
% 18.93/4.90 | (538) h1(e11) = all_0_189_189
% 18.93/4.90 | (539) ~ (all_0_192_192 = e20)
% 18.93/4.90 | (540) h5(e10) = all_0_183_183
% 18.93/4.90 | (541) ~ (all_0_216_216 = all_0_218_218)
% 18.93/4.90 | (542) ~ (all_0_216_216 = e13)
% 18.93/4.90 | (543) h2(all_0_217_217) = all_0_117_117
% 18.93/4.90 | (544) all_0_201_201 = e24 | all_0_202_202 = e24 | all_0_204_204 = e24
% 18.93/4.90 | (545) ~ (all_0_207_207 = all_0_208_208)
% 18.93/4.90 | (546) ~ (all_0_201_201 = e20)
% 18.93/4.90 | (547) op2(all_0_185_185, e23) = all_0_94_94
% 18.93/4.90 | (548) op1(e11, e13) = all_0_221_221
% 18.93/4.90 | (549) all_0_221_221 = e14 | all_0_221_221 = e13 | all_0_221_221 = e11 | all_0_221_221 = e10
% 18.93/4.90 | (550) h3(e11) = all_0_184_184
% 18.93/4.90 | (551) ~ (all_0_212_212 = all_0_223_223)
% 18.93/4.90 | (552) h4(all_0_224_224) = all_0_54_54
% 18.93/4.90 | (553) op2(all_0_188_188, all_0_188_188) = all_0_141_141
% 18.93/4.90 | (554) all_0_216_216 = e12 | all_0_220_220 = e12 | all_0_225_225 = e12
% 18.93/4.90 | (555) op2(all_0_185_185, all_0_198_198) = all_0_90_90
% 18.93/4.90 | (556) ~ (e22 = e14)
% 18.93/4.90 | (557) all_0_212_212 = e12 | all_0_218_218 = e12 | all_0_223_223 = e12 | all_0_228_228 = e12
% 18.93/4.90 | (558) h4(all_0_223_223) = all_0_53_53
% 18.93/4.90 | (559) ~ (e22 = e13)
% 18.93/4.90 | (560) op2(all_0_184_184, all_0_185_185) = all_0_88_88
% 18.93/4.90 | (561) op2(all_0_204_204, all_0_186_186) = all_0_119_119
% 18.93/4.90 | (562) h3(all_0_224_224) = all_0_89_89
% 18.93/4.90 | (563) ~ (e24 = e23)
% 18.93/4.90 | (564) op1(e14, e13) = all_0_210_210
% 18.93/4.90 | (565) h4(e10) = e20
% 18.93/4.90 | (566) op2(all_0_182_182, all_0_183_183) = all_0_29_29
% 18.93/4.90 | (567) ~ (all_0_200_200 = e23)
% 18.93/4.90 | (568) h3(e14) = all_0_198_198
% 18.93/4.90 | (569) ~ (all_0_199_199 = e23)
% 18.93/4.90 | (570) all_0_216_216 = e14 | all_0_217_217 = e14 | all_0_218_218 = e14
% 18.93/4.90 | (571) ~ (all_0_194_194 = all_0_205_205)
% 18.93/4.90 | (572) ~ (all_0_193_193 = all_0_195_195)
% 18.93/4.90 | (573) ~ (all_0_201_201 = all_0_202_202)
% 18.93/4.90 | (574) all_0_197_197 = e24 | all_0_201_201 = e24
% 18.93/4.90 | (575) h4(all_0_222_222) = all_0_52_52
% 18.93/4.90 | (576) ~ (e21 = e12)
% 18.93/4.90 | (577) ~ (all_0_203_203 = e23)
% 18.93/4.90 | (578) h1(all_0_218_218) = all_0_160_160
% 18.93/4.90 | (579) h2(all_0_212_212) = all_0_105_105
% 18.93/4.90 | (580) all_0_192_192 = e22 | all_0_192_192 = e21
% 18.93/4.90 | (581) op2(all_0_194_194, all_0_183_183) = all_0_7_7
% 18.93/4.90 | (582) op2(all_0_186_186, all_0_186_186) = all_0_129_129
% 18.93/4.90 | (583) h3(all_0_225_225) = all_0_91_91
% 18.93/4.90 | (584) ~ (e13 = e12)
% 18.93/4.90 | (585) op2(all_0_204_204, all_0_187_187) = all_0_114_114
% 18.93/4.90 | (586) op2(all_0_192_192, all_0_197_197) = e22
% 18.93/4.90 | (587) h2(all_0_228_228) = all_0_140_140
% 18.93/4.90 | (588) ~ (all_0_205_205 = e24)
% 18.93/4.90 | (589) h3(all_0_211_211) = all_0_63_63
% 18.93/4.90 | (590) all_0_201_201 = e24 | all_0_201_201 = e23 | all_0_201_201 = e22
% 18.93/4.90 | (591) op1(e11, e12) = all_0_222_222
% 18.93/4.90 | (592) op2(e20, all_0_194_194) = all_0_14_14
% 18.93/4.90 | (593) op2(all_0_184_184, e23) = all_0_84_84
% 18.93/4.90 | (594) op2(all_0_194_194, all_0_206_206) = e20
% 18.93/4.90 | (595) op2(e22, e22) = e23
% 18.93/4.90 | (596) all_0_218_218 = e14 | all_0_218_218 = e12 | all_0_218_218 = e11 | all_0_218_218 = e10
% 18.93/4.90 | (597) all_0_192_192 = e21 | all_0_203_203 = e21 | all_0_208_208 = e21
% 18.93/4.90 | (598) all_0_194_194 = e21 | all_0_200_200 = e21 | all_0_205_205 = e21
% 18.93/4.90 | (599) ~ (e22 = e10)
% 18.93/4.90 | (600) ~ (e23 = e21)
% 18.93/4.91 | (601) ~ (all_0_217_217 = all_0_218_218)
% 18.93/4.91 | (602) ~ (all_0_217_217 = all_0_226_226)
% 18.93/4.91 | (603) ~ (all_0_225_225 = all_0_228_228)
% 18.93/4.91 | (604) op1(all_0_227_227, all_0_219_219) = e12
% 18.93/4.91 | (605) ~ (all_0_204_204 = all_0_205_205)
% 18.93/4.91 | (606) ~ (all_0_212_212 = e10)
% 18.93/4.91 | (607) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0))
% 18.93/4.91 | (608) ~ (all_0_191_191 = all_0_192_192)
% 18.93/4.91 | (609) ~ (all_0_210_210 = all_0_217_217)
% 18.93/4.91 | (610) ~ (all_0_214_214 = e14)
% 18.93/4.91 | (611) h1(all_0_223_223) = all_0_170_170
% 18.93/4.91 | (612) op2(e24, all_0_194_194) = all_0_9_9
% 18.93/4.91 | (613) h2(all_0_215_215) = all_0_113_113
% 18.93/4.91 | (614) op2(all_0_198_198, e24) = e23
% 18.93/4.91 | (615) ~ (all_0_195_195 = all_0_204_204)
% 18.93/4.91 | (616) ~ (e14 = e12)
% 18.93/4.91 | (617) h2(all_0_218_218) = all_0_120_120
% 18.93/4.91 | (618) h4(all_0_216_216) = all_0_46_46
% 18.93/4.91 | (619) h2(all_0_213_213) = all_0_107_107
% 18.93/4.91 | (620) ~ (all_0_220_220 = all_0_225_225)
% 18.93/4.91 | (621) all_0_221_221 = e10 | all_0_222_222 = e10 | all_0_223_223 = e10 | all_0_224_224 = e10
% 18.93/4.91 | (622) h2(all_0_214_214) = all_0_111_111
% 18.93/4.91 | (623) ~ (all_0_220_220 = e10)
% 18.93/4.91 | (624) h1(all_0_210_210) = all_0_144_144
% 18.93/4.91 | (625) all_0_191_191 = e24 | all_0_191_191 = e23 | all_0_191_191 = e21
% 18.93/4.91 | (626) all_0_222_222 = e10 | all_0_227_227 = e10
% 18.93/4.91 | (627) ~ (all_0_206_206 = all_0_207_207)
% 18.93/4.91 | (628) ~ (all_0_211_211 = e14)
% 18.93/4.91 | (629) all_0_193_193 = e24 | all_0_199_199 = e24 | all_0_204_204 = e24
% 18.93/4.91 | (630) h2(all_0_225_225) = all_0_134_134
% 18.93/4.91 | (631) all_0_215_215 = e13 | all_0_215_215 = e10
% 18.93/4.91 | (632) op2(e22, e23) = all_0_198_198
% 18.93/4.91 | (633) ~ (all_0_222_222 = e13)
% 18.93/4.91 | (634) h2(e13) = e21
% 18.93/4.91 | (635) op2(all_0_190_190, all_0_190_190) = all_0_181_181
% 18.93/4.91 | (636) ~ (all_0_192_192 = e24)
% 18.93/4.91 | (637) op2(all_0_203_203, all_0_199_199) = e22
% 18.93/4.91 | (638) ~ (all_0_221_221 = e12)
% 18.93/4.91 | (639) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0))
% 18.93/4.91 | (640) h1(e10) = all_0_190_190
% 18.93/4.91 | (641) h4(all_0_213_213) = all_0_43_43
% 18.93/4.91 | (642) h3(all_0_219_219) = all_0_79_79
% 18.93/4.91 | (643) ~ (all_0_199_199 = all_0_209_209)
% 18.93/4.91 | (644) all_0_217_217 = e14 | all_0_217_217 = e11 | all_0_217_217 = e10
% 18.93/4.91 | (645) op2(all_0_196_196, all_0_207_207) = e20
% 18.93/4.91 | (646) all_0_196_196 = e20 | all_0_200_200 = e20 | all_0_205_205 = e20
% 18.93/4.91 | (647) ~ (all_0_197_197 = e23)
% 18.93/4.91 | (648) op2(e24, all_0_190_190) = all_0_161_161
% 18.93/4.91 | (649) ~ (all_0_214_214 = all_0_215_215)
% 18.93/4.91 | (650) ~ (all_0_208_208 = e24)
% 18.93/4.91 | (651) op2(all_0_195_195, all_0_202_202) = e21
% 18.93/4.91 | (652) op1(e14, e11) = all_0_212_212
% 18.93/4.91 | (653) all_0_217_217 = e10 | all_0_218_218 = e10 | all_0_219_219 = e10
% 18.93/4.91 | (654) all_0_193_193 = e24 | all_0_193_193 = e23 | all_0_193_193 = e22 | all_0_193_193 = e21
% 18.93/4.91 | (655) ~ (all_0_202_202 = e22)
% 18.93/4.91 | (656) op2(e24, all_0_206_206) = all_0_156_156
% 18.93/4.91 | (657) ~ (all_0_0_0 = all_0_183_183) | ~ (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_182_182) | ~ (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_206_206) | ~ (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_194_194) | ( ~ (all_0_182_182 = e23) & ~ (all_0_183_183 = e23) & ~ (all_0_194_194 = e23)) | ( ~ (all_0_182_182 = e22) & ~ (all_0_183_183 = e22) & ~ (all_0_194_194 = e22)) | ( ~ (all_0_182_182 = e21) & ~ (all_0_183_183 = e21) & ~ (all_0_194_194 = e21))
% 18.93/4.91 | (658) h5(all_0_221_221) = all_0_24_24
% 18.93/4.91 | (659) op2(e21, e21) = all_0_204_204
% 18.93/4.91 | (660) ~ (all_0_227_227 = all_0_228_228)
% 18.93/4.91 | (661) ~ (e14 = e11)
% 18.93/4.91 | (662) ~ (e23 = e14)
% 18.93/4.91 | (663) ~ (e24 = e12)
% 18.93/4.91 | (664) ~ (all_0_210_210 = all_0_213_213)
% 18.93/4.91 | (665) ~ (e23 = e22)
% 18.93/4.91 | (666) h5(e14) = all_0_194_194
% 18.93/4.91 | (667) ~ (all_0_201_201 = e21)
% 18.93/4.91 | (668) op1(e13, e14) = e11
% 18.93/4.91 |
% 18.93/4.91 | Instantiating formula (7) with all_0_187_187, all_0_187_187, all_0_188_188, all_0_99_99 and discharging atoms op2(all_0_187_187, all_0_187_187) = all_0_99_99, op2(all_0_187_187, all_0_187_187) = all_0_188_188, yields:
% 18.93/4.91 | (669) all_0_99_99 = all_0_188_188
% 18.93/4.91 |
% 18.93/4.91 | Instantiating formula (7) with all_0_194_194, all_0_194_194, all_0_183_183, all_0_0_0 and discharging atoms op2(all_0_194_194, all_0_194_194) = all_0_0_0, op2(all_0_194_194, all_0_194_194) = all_0_183_183, yields:
% 18.93/4.91 | (670) all_0_0_0 = all_0_183_183
% 18.93/4.91 |
% 18.93/4.91 | Instantiating formula (7) with all_0_198_198, all_0_198_198, all_0_185_185, all_0_59_59 and discharging atoms op2(all_0_198_198, all_0_198_198) = all_0_59_59, op2(all_0_198_198, all_0_198_198) = all_0_185_185, yields:
% 18.93/4.91 | (671) all_0_59_59 = all_0_185_185
% 18.93/4.91 |
% 18.93/4.91 | Instantiating formula (7) with all_0_206_206, all_0_206_206, all_0_190_190, all_0_142_142 and discharging atoms op2(all_0_206_206, all_0_206_206) = all_0_142_142, op2(all_0_206_206, all_0_206_206) = all_0_190_190, yields:
% 18.93/4.91 | (672) all_0_142_142 = all_0_190_190
% 18.93/4.91 |
% 18.93/4.91 | Instantiating formula (7) with e24, all_0_194_194, all_0_182_182, all_0_9_9 and discharging atoms op2(e24, all_0_194_194) = all_0_9_9, op2(e24, all_0_194_194) = all_0_182_182, yields:
% 18.93/4.91 | (673) all_0_9_9 = all_0_182_182
% 18.93/4.91 |
% 18.93/4.91 | Instantiating formula (7) with e22, all_0_198_198, all_0_184_184, all_0_68_68 and discharging atoms op2(e22, all_0_198_198) = all_0_68_68, op2(e22, all_0_198_198) = all_0_184_184, yields:
% 18.93/4.91 | (674) all_0_68_68 = all_0_184_184
% 18.93/4.91 |
% 18.93/4.91 | Instantiating formula (7) with e21, all_0_187_187, all_0_186_186, all_0_108_108 and discharging atoms op2(e21, all_0_187_187) = all_0_108_108, op2(e21, all_0_187_187) = all_0_186_186, yields:
% 18.93/4.91 | (675) all_0_108_108 = all_0_186_186
% 18.93/4.91 |
% 18.93/4.91 | Instantiating formula (7) with e21, all_0_204_204, all_0_187_187, all_0_109_109 and discharging atoms op2(e21, all_0_204_204) = all_0_109_109, op2(e21, all_0_204_204) = all_0_187_187, yields:
% 18.93/4.91 | (676) all_0_109_109 = all_0_187_187
% 18.93/4.91 |
% 18.93/4.91 | Instantiating formula (7) with e20, all_0_206_206, all_0_189_189, all_0_151_151 and discharging atoms op2(e20, all_0_206_206) = all_0_151_151, op2(e20, all_0_206_206) = all_0_189_189, yields:
% 18.93/4.91 | (677) all_0_151_151 = all_0_189_189
% 18.93/4.91 |
% 18.93/4.91 | From (669) and (285) follows:
% 18.93/4.91 | (36) op2(all_0_187_187, all_0_187_187) = all_0_188_188
% 18.93/4.91 |
% 18.93/4.91 | From (670) and (44) follows:
% 18.93/4.91 | (88) op2(all_0_194_194, all_0_194_194) = all_0_183_183
% 18.93/4.91 |
% 18.93/4.91 | From (671) and (473) follows:
% 18.93/4.91 | (438) op2(all_0_198_198, all_0_198_198) = all_0_185_185
% 18.93/4.91 |
% 18.93/4.91 | From (672) and (297) follows:
% 18.93/4.91 | (2) op2(all_0_206_206, all_0_206_206) = all_0_190_190
% 18.93/4.91 |
% 18.93/4.91 | From (673) and (612) follows:
% 18.93/4.92 | (322) op2(e24, all_0_194_194) = all_0_182_182
% 18.93/4.92 |
% 18.93/4.92 | From (674) and (217) follows:
% 18.93/4.92 | (213) op2(e22, all_0_198_198) = all_0_184_184
% 18.93/4.92 |
% 18.93/4.92 | From (675) and (32) follows:
% 18.93/4.92 | (212) op2(e21, all_0_187_187) = all_0_186_186
% 18.93/4.92 |
% 18.93/4.92 | From (676) and (380) follows:
% 18.93/4.92 | (379) op2(e21, all_0_204_204) = all_0_187_187
% 18.93/4.92 |
% 18.93/4.92 | From (677) and (439) follows:
% 18.93/4.92 | (18) op2(e20, all_0_206_206) = all_0_189_189
% 18.93/4.92 |
% 18.93/4.92 +-Applying beta-rule and splitting (580), into two cases.
% 18.93/4.92 |-Branch one:
% 18.93/4.92 | (687) all_0_192_192 = e21
% 18.93/4.92 |
% 18.93/4.92 | Equations (687) can reduce 255 to:
% 18.93/4.92 | (688) ~ (all_0_193_193 = e21)
% 18.93/4.92 |
% 18.93/4.92 | Simplifying 688 yields:
% 18.93/4.92 | (689) ~ (all_0_193_193 = e21)
% 18.93/4.92 |
% 18.93/4.92 | Equations (687) can reduce 429 to:
% 18.93/4.92 | (690) ~ (all_0_194_194 = e21)
% 18.93/4.92 |
% 18.93/4.92 | Simplifying 690 yields:
% 18.93/4.92 | (691) ~ (all_0_194_194 = e21)
% 18.93/4.92 |
% 18.93/4.92 | Equations (687) can reduce 59 to:
% 18.93/4.92 | (692) ~ (all_0_203_203 = e21)
% 18.93/4.92 |
% 18.93/4.92 | Simplifying 692 yields:
% 18.93/4.92 | (693) ~ (all_0_203_203 = e21)
% 18.93/4.92 |
% 18.93/4.92 | Equations (687) can reduce 526 to:
% 18.93/4.92 | (694) ~ (all_0_208_208 = e21)
% 18.93/4.92 |
% 18.93/4.92 | Simplifying 694 yields:
% 18.93/4.92 | (695) ~ (all_0_208_208 = e21)
% 18.93/4.92 |
% 18.93/4.92 | From (687) and (586) follows:
% 18.93/4.92 | (696) op2(e21, all_0_197_197) = e22
% 18.93/4.92 |
% 18.93/4.92 | From (687) and (142) follows:
% 18.93/4.92 | (697) op2(all_0_197_197, e21) = e24
% 18.93/4.92 |
% 18.93/4.92 +-Applying beta-rule and splitting (325), into two cases.
% 18.93/4.92 |-Branch one:
% 18.93/4.92 | (698) all_0_197_197 = e22
% 18.93/4.92 |
% 18.93/4.92 | Equations (698) can reduce 482 to:
% 18.93/4.92 | (699) ~ (all_0_200_200 = e22)
% 18.93/4.92 |
% 18.93/4.92 | Simplifying 699 yields:
% 18.93/4.92 | (700) ~ (all_0_200_200 = e22)
% 18.93/4.92 |
% 18.93/4.92 | Equations (698) can reduce 298 to:
% 18.93/4.92 | (701) ~ (all_0_201_201 = e22)
% 18.93/4.92 |
% 18.93/4.92 | Simplifying 701 yields:
% 18.93/4.92 | (702) ~ (all_0_201_201 = e22)
% 18.93/4.92 |
% 18.93/4.92 | Equations (698) can reduce 5 to:
% 18.93/4.92 | (703) ~ (all_0_206_206 = e22)
% 18.93/4.92 |
% 18.93/4.92 | Simplifying 703 yields:
% 18.93/4.92 | (704) ~ (all_0_206_206 = e22)
% 18.93/4.92 |
% 18.93/4.92 | Equations (698) can reduce 403 to:
% 18.93/4.92 | (479) ~ (e22 = e20)
% 18.93/4.92 |
% 18.93/4.92 | From (698) and (697) follows:
% 18.93/4.92 | (706) op2(e22, e21) = e24
% 18.93/4.92 |
% 18.93/4.92 | From (698) and (696) follows:
% 18.93/4.92 | (707) op2(e21, e22) = e22
% 18.93/4.92 |
% 18.93/4.92 +-Applying beta-rule and splitting (139), into two cases.
% 18.93/4.92 |-Branch one:
% 18.93/4.92 | (708) all_0_206_206 = e22
% 18.93/4.92 |
% 18.93/4.92 | Equations (708) can reduce 704 to:
% 18.93/4.92 | (709) $false
% 18.93/4.92 |
% 18.93/4.92 |-The branch is then unsatisfiable
% 18.93/4.92 |-Branch two:
% 18.93/4.92 | (704) ~ (all_0_206_206 = e22)
% 18.93/4.92 | (711) all_0_206_206 = e23
% 18.93/4.92 |
% 18.93/4.92 | Equations (711) can reduce 85 to:
% 18.93/4.92 | (712) ~ (all_0_201_201 = e23)
% 18.93/4.92 |
% 18.93/4.92 | From (711) and (129) follows:
% 18.93/4.92 | (713) op2(all_0_189_189, e23) = all_0_163_163
% 18.93/4.92 |
% 18.93/4.92 | From (711) and (336) follows:
% 18.93/4.92 | (714) op2(e23, all_0_189_189) = all_0_147_147
% 18.93/4.92 |
% 18.93/4.92 | From (711)(711) and (2) follows:
% 18.93/4.92 | (715) op2(e23, e23) = all_0_190_190
% 18.93/4.92 |
% 18.93/4.92 | From (711) and (18) follows:
% 18.93/4.92 | (716) op2(e20, e23) = all_0_189_189
% 18.93/4.92 |
% 18.93/4.92 +-Applying beta-rule and splitting (590), into two cases.
% 18.93/4.92 |-Branch one:
% 18.93/4.92 | (717) all_0_201_201 = e22
% 18.93/4.92 |
% 18.93/4.92 | Equations (717) can reduce 702 to:
% 18.93/4.92 | (709) $false
% 18.93/4.92 |
% 18.93/4.92 |-The branch is then unsatisfiable
% 18.93/4.92 |-Branch two:
% 18.93/4.92 | (702) ~ (all_0_201_201 = e22)
% 18.93/4.92 | (720) all_0_201_201 = e24 | all_0_201_201 = e23
% 18.93/4.92 |
% 18.93/4.92 +-Applying beta-rule and splitting (720), into two cases.
% 18.93/4.92 |-Branch one:
% 18.93/4.92 | (721) all_0_201_201 = e24
% 18.93/4.92 |
% 18.93/4.92 | From (721) and (463) follows:
% 18.93/4.92 | (722) op2(all_0_193_193, e24) = e21
% 18.93/4.92 |
% 18.93/4.92 | From (721) and (398) follows:
% 18.93/4.92 | (723) op2(e24, all_0_193_193) = e24
% 18.93/4.92 |
% 18.93/4.92 | Instantiating formula (7) with e23, e23, all_0_190_190, e22 and discharging atoms op2(e23, e23) = all_0_190_190, op2(e23, e23) = e22, yields:
% 18.93/4.92 | (724) all_0_190_190 = e22
% 18.93/4.92 |
% 18.93/4.92 | Instantiating formula (7) with e22, e21, e24, all_0_199_199 and discharging atoms op2(e22, e21) = all_0_199_199, op2(e22, e21) = e24, yields:
% 18.93/4.92 | (725) all_0_199_199 = e24
% 18.93/4.92 |
% 18.93/4.92 | Instantiating formula (7) with e21, e22, e22, all_0_203_203 and discharging atoms op2(e21, e22) = all_0_203_203, op2(e21, e22) = e22, yields:
% 18.93/4.92 | (726) all_0_203_203 = e22
% 18.93/4.92 |
% 18.93/4.92 | Instantiating formula (7) with e20, e23, all_0_189_189, all_0_207_207 and discharging atoms op2(e20, e23) = all_0_189_189, op2(e20, e23) = all_0_207_207, yields:
% 18.93/4.92 | (727) all_0_189_189 = all_0_207_207
% 18.93/4.92 |
% 18.93/4.92 | Equations (725) can reduce 224 to:
% 18.93/4.92 | (728) ~ (all_0_193_193 = e24)
% 18.93/4.92 |
% 18.93/4.92 | Equations (726) can reduce 443 to:
% 18.93/4.92 | (729) ~ (all_0_205_205 = e22)
% 18.93/4.92 |
% 18.93/4.92 | Simplifying 729 yields:
% 18.93/4.92 | (730) ~ (all_0_205_205 = e22)
% 18.93/4.92 |
% 18.93/4.92 | Equations (726) can reduce 411 to:
% 18.93/4.92 | (731) ~ (all_0_208_208 = e22)
% 18.93/4.92 |
% 18.93/4.92 | Simplifying 731 yields:
% 18.93/4.92 | (732) ~ (all_0_208_208 = e22)
% 18.93/4.92 |
% 18.93/4.92 | Equations (726) can reduce 577 to:
% 18.93/4.92 | (733) ~ (e23 = e22)
% 18.93/4.92 |
% 18.93/4.92 | Simplifying 733 yields:
% 18.93/4.92 | (665) ~ (e23 = e22)
% 18.93/4.92 |
% 18.93/4.92 | Equations (726) can reduce 693 to:
% 18.93/4.92 | (399) ~ (e22 = e21)
% 18.93/4.92 |
% 18.93/4.92 | From (727)(727) and (290) follows:
% 18.93/4.92 | (736) op2(all_0_207_207, all_0_207_207) = all_0_169_169
% 18.93/4.93 |
% 18.93/4.93 | From (727)(724) and (29) follows:
% 18.93/4.93 | (737) op2(all_0_207_207, e22) = all_0_171_171
% 18.93/4.93 |
% 18.93/4.93 | From (727) and (450) follows:
% 18.93/4.93 | (738) op2(all_0_207_207, e24) = all_0_167_167
% 18.93/4.93 |
% 18.93/4.93 | From (727) and (713) follows:
% 18.93/4.93 | (739) op2(all_0_207_207, e23) = all_0_163_163
% 18.93/4.93 |
% 18.93/4.93 | From (727) and (444) follows:
% 18.93/4.93 | (740) op2(all_0_207_207, e20) = all_0_165_165
% 18.93/4.93 |
% 18.93/4.93 | From (724)(727) and (190) follows:
% 18.93/4.93 | (741) op2(e22, all_0_207_207) = all_0_179_179
% 18.93/4.93 |
% 18.93/4.93 | From (724)(724) and (635) follows:
% 18.93/4.93 | (742) op2(e22, e22) = all_0_181_181
% 18.93/4.93 |
% 18.93/4.93 | From (724) and (453) follows:
% 18.93/4.93 | (743) op2(e22, e24) = all_0_177_177
% 18.93/4.93 |
% 18.93/4.93 | From (724) and (362) follows:
% 18.93/4.93 | (744) op2(e22, e20) = all_0_175_175
% 18.93/4.93 |
% 18.93/4.93 | From (725)(726) and (174) follows:
% 18.93/4.93 | (745) op2(e24, e22) = e21
% 18.93/4.93 |
% 18.93/4.93 | From (726)(725) and (637) follows:
% 18.93/4.93 | (746) op2(e22, e24) = e22
% 18.93/4.93 |
% 18.93/4.93 | From (727) and (183) follows:
% 18.93/4.93 | (747) op2(e24, all_0_207_207) = all_0_159_159
% 18.93/4.93 |
% 18.93/4.93 | From (724) and (648) follows:
% 18.93/4.93 | (748) op2(e24, e22) = all_0_161_161
% 18.93/4.93 |
% 18.93/4.93 | From (727) and (714) follows:
% 18.93/4.93 | (749) op2(e23, all_0_207_207) = all_0_147_147
% 18.93/4.93 |
% 18.93/4.93 | From (725) and (301) follows:
% 18.93/4.93 | (706) op2(e22, e21) = e24
% 18.93/4.93 |
% 18.93/4.93 | From (726) and (66) follows:
% 18.93/4.93 | (707) op2(e21, e22) = e22
% 18.93/4.93 |
% 18.93/4.93 | From (727) and (485) follows:
% 18.93/4.93 | (752) op2(e20, all_0_207_207) = all_0_152_152
% 18.93/4.93 |
% 18.93/4.93 | From (724) and (101) follows:
% 18.93/4.93 | (753) op2(e20, e22) = all_0_154_154
% 18.93/4.93 |
% 18.93/4.93 +-Applying beta-rule and splitting (198), into two cases.
% 18.93/4.93 |-Branch one:
% 18.93/4.93 | (754) all_0_203_203 = e20
% 18.93/4.93 |
% 18.93/4.93 | Combining equations (754,726) yields a new equation:
% 18.93/4.93 | (755) e22 = e20
% 18.93/4.93 |
% 18.93/4.93 | Equations (755) can reduce 479 to:
% 18.93/4.93 | (709) $false
% 18.93/4.93 |
% 18.93/4.93 |-The branch is then unsatisfiable
% 18.93/4.93 |-Branch two:
% 18.93/4.93 | (757) ~ (all_0_203_203 = e20)
% 18.93/4.93 | (758) all_0_208_208 = e20
% 18.93/4.93 |
% 18.93/4.93 | Equations (758) can reduce 732 to:
% 18.93/4.93 | (759) ~ (e22 = e20)
% 18.93/4.93 |
% 18.93/4.93 | Simplifying 759 yields:
% 18.93/4.93 | (479) ~ (e22 = e20)
% 18.93/4.93 |
% 18.93/4.93 | Equations (758) can reduce 695 to:
% 18.93/4.93 | (761) ~ (e21 = e20)
% 18.93/4.93 |
% 18.93/4.93 | Simplifying 761 yields:
% 18.93/4.93 | (258) ~ (e21 = e20)
% 18.93/4.93 |
% 18.93/4.93 | From (758) and (112) follows:
% 18.93/4.93 | (763) op2(all_0_200_200, e20) = e20
% 18.93/4.93 |
% 18.93/4.93 | From (758) and (202) follows:
% 18.93/4.93 | (764) op2(e20, all_0_200_200) = e22
% 18.93/4.93 |
% 18.93/4.93 +-Applying beta-rule and splitting (267), into two cases.
% 18.93/4.93 |-Branch one:
% 18.93/4.93 | (765) all_0_191_191 = e24
% 18.93/4.93 |
% 18.93/4.93 | Equations (765) can reduce 490 to:
% 18.93/4.93 | (766) ~ (all_0_193_193 = e24)
% 18.93/4.93 |
% 18.93/4.93 | Simplifying 766 yields:
% 18.93/4.93 | (728) ~ (all_0_193_193 = e24)
% 18.93/4.93 |
% 18.93/4.93 | Equations (765) can reduce 391 to:
% 18.93/4.93 | (768) ~ (all_0_198_198 = e24)
% 18.93/4.93 |
% 18.93/4.93 | Simplifying 768 yields:
% 18.93/4.93 | (769) ~ (all_0_198_198 = e24)
% 18.93/4.93 |
% 18.93/4.93 | From (765) and (313) follows:
% 18.93/4.93 | (770) op2(e21, e24) = e24
% 18.93/4.93 |
% 18.93/4.93 +-Applying beta-rule and splitting (535), into two cases.
% 18.93/4.93 |-Branch one:
% 18.93/4.93 | (708) all_0_206_206 = e22
% 18.93/4.93 |
% 18.93/4.93 | Combining equations (711,708) yields a new equation:
% 18.93/4.93 | (772) e23 = e22
% 18.93/4.93 |
% 18.93/4.93 | Simplifying 772 yields:
% 18.93/4.93 | (773) e23 = e22
% 18.93/4.93 |
% 18.93/4.93 | Equations (773) can reduce 665 to:
% 18.93/4.93 | (709) $false
% 18.93/4.93 |
% 18.93/4.93 |-The branch is then unsatisfiable
% 18.93/4.93 |-Branch two:
% 18.93/4.93 | (704) ~ (all_0_206_206 = e22)
% 18.93/4.93 | (776) all_0_208_208 = e22 | all_0_209_209 = e22
% 18.93/4.93 |
% 18.93/4.93 +-Applying beta-rule and splitting (776), into two cases.
% 18.93/4.93 |-Branch one:
% 18.93/4.93 | (777) all_0_208_208 = e22
% 18.93/4.93 |
% 18.93/4.93 | Combining equations (777,758) yields a new equation:
% 18.93/4.93 | (778) e22 = e20
% 18.93/4.93 |
% 18.93/4.93 | Simplifying 778 yields:
% 18.93/4.93 | (755) e22 = e20
% 18.93/4.93 |
% 18.93/4.93 | Equations (755) can reduce 479 to:
% 18.93/4.93 | (709) $false
% 18.93/4.93 |
% 18.93/4.93 |-The branch is then unsatisfiable
% 18.93/4.93 |-Branch two:
% 18.93/4.93 | (732) ~ (all_0_208_208 = e22)
% 18.93/4.93 | (782) all_0_209_209 = e22
% 18.93/4.93 |
% 18.93/4.93 | Equations (782) can reduce 37 to:
% 18.93/4.93 | (783) ~ (all_0_193_193 = e22)
% 18.93/4.93 |
% 18.93/4.93 | From (782) and (28) follows:
% 18.93/4.93 | (784) op2(all_0_205_205, e22) = e20
% 18.93/4.93 |
% 18.93/4.93 +-Applying beta-rule and splitting (654), into two cases.
% 18.93/4.93 |-Branch one:
% 18.93/4.93 | (785) all_0_193_193 = e21
% 18.93/4.93 |
% 19.29/4.94 | Equations (785) can reduce 689 to:
% 19.29/4.94 | (709) $false
% 19.29/4.94 |
% 19.29/4.94 |-The branch is then unsatisfiable
% 19.29/4.94 |-Branch two:
% 19.29/4.94 | (689) ~ (all_0_193_193 = e21)
% 19.29/4.94 | (788) all_0_193_193 = e24 | all_0_193_193 = e23 | all_0_193_193 = e22
% 19.29/4.94 |
% 19.29/4.94 +-Applying beta-rule and splitting (788), into two cases.
% 19.29/4.94 |-Branch one:
% 19.29/4.94 | (789) all_0_193_193 = e22
% 19.29/4.94 |
% 19.29/4.94 | Equations (789) can reduce 783 to:
% 19.29/4.94 | (709) $false
% 19.29/4.94 |
% 19.29/4.94 |-The branch is then unsatisfiable
% 19.29/4.94 |-Branch two:
% 19.29/4.94 | (783) ~ (all_0_193_193 = e22)
% 19.29/4.94 | (792) all_0_193_193 = e24 | all_0_193_193 = e23
% 19.29/4.94 |
% 19.29/4.94 +-Applying beta-rule and splitting (792), into two cases.
% 19.29/4.94 |-Branch one:
% 19.29/4.94 | (793) all_0_193_193 = e24
% 19.29/4.94 |
% 19.29/4.94 | Equations (793) can reduce 728 to:
% 19.29/4.94 | (709) $false
% 19.29/4.94 |
% 19.29/4.94 |-The branch is then unsatisfiable
% 19.29/4.94 |-Branch two:
% 19.29/4.94 | (728) ~ (all_0_193_193 = e24)
% 19.29/4.94 | (796) all_0_193_193 = e23
% 19.29/4.94 |
% 19.29/4.94 | Equations (796) can reduce 572 to:
% 19.29/4.94 | (797) ~ (all_0_195_195 = e23)
% 19.29/4.94 |
% 19.29/4.94 | Simplifying 797 yields:
% 19.29/4.94 | (798) ~ (all_0_195_195 = e23)
% 19.29/4.94 |
% 19.29/4.94 | Equations (796) can reduce 166 to:
% 19.29/4.94 | (799) ~ (all_0_204_204 = e23)
% 19.29/4.94 |
% 19.29/4.94 | Simplifying 799 yields:
% 19.29/4.94 | (800) ~ (all_0_204_204 = e23)
% 19.29/4.94 |
% 19.29/4.94 | Equations (796) can reduce 91 to:
% 19.29/4.94 | (383) ~ (e23 = e20)
% 19.29/4.94 |
% 19.29/4.94 | From (796) and (722) follows:
% 19.29/4.94 | (171) op2(e23, e24) = e21
% 19.29/4.94 |
% 19.29/4.94 | From (796) and (723) follows:
% 19.29/4.94 | (803) op2(e24, e23) = e24
% 19.29/4.94 |
% 19.29/4.94 | From (796) and (186) follows:
% 19.29/4.94 | (804) op2(e24, e21) = e23
% 19.29/4.94 |
% 19.29/4.94 +-Applying beta-rule and splitting (121), into two cases.
% 19.29/4.94 |-Branch one:
% 19.29/4.94 | (805) all_0_207_207 = e21
% 19.29/4.94 |
% 19.29/4.94 | Equations (805) can reduce 489 to:
% 19.29/4.94 | (806) ~ (all_0_198_198 = e21)
% 19.29/4.94 |
% 19.29/4.94 | Equations (805) can reduce 54 to:
% 19.29/4.94 | (807) ~ (all_0_202_202 = e21)
% 19.29/4.94 |
% 19.29/4.94 | From (805)(805) and (736) follows:
% 19.29/4.94 | (808) op2(e21, e21) = all_0_169_169
% 19.29/4.94 |
% 19.29/4.94 | From (805) and (738) follows:
% 19.29/4.94 | (809) op2(e21, e24) = all_0_167_167
% 19.29/4.94 |
% 19.29/4.94 | From (805) and (739) follows:
% 19.29/4.94 | (810) op2(e21, e23) = all_0_163_163
% 19.29/4.94 |
% 19.29/4.94 | From (805) and (737) follows:
% 19.29/4.94 | (811) op2(e21, e22) = all_0_171_171
% 19.29/4.94 |
% 19.29/4.94 | From (805) and (740) follows:
% 19.29/4.94 | (812) op2(e21, e20) = all_0_165_165
% 19.29/4.94 |
% 19.29/4.94 | From (805) and (747) follows:
% 19.29/4.94 | (813) op2(e24, e21) = all_0_159_159
% 19.29/4.94 |
% 19.29/4.94 | From (805) and (749) follows:
% 19.29/4.94 | (814) op2(e23, e21) = all_0_147_147
% 19.29/4.94 |
% 19.29/4.94 | From (805) and (741) follows:
% 19.29/4.94 | (815) op2(e22, e21) = all_0_179_179
% 19.29/4.94 |
% 19.29/4.94 | From (805) and (752) follows:
% 19.29/4.94 | (816) op2(e20, e21) = all_0_152_152
% 19.29/4.94 |
% 19.29/4.94 +-Applying beta-rule and splitting (8), into two cases.
% 19.29/4.94 |-Branch one:
% 19.29/4.94 | (817) all_0_195_195 = e23
% 19.29/4.94 |
% 19.29/4.94 | Equations (817) can reduce 798 to:
% 19.29/4.94 | (709) $false
% 19.29/4.94 |
% 19.29/4.94 |-The branch is then unsatisfiable
% 19.29/4.94 |-Branch two:
% 19.29/4.94 | (798) ~ (all_0_195_195 = e23)
% 19.29/4.94 | (820) all_0_196_196 = e23
% 19.29/4.94 |
% 19.29/4.94 | Equations (820) can reduce 247 to:
% 19.29/4.94 | (821) ~ (e24 = e23)
% 19.29/4.94 |
% 19.29/4.94 | Simplifying 821 yields:
% 19.29/4.94 | (563) ~ (e24 = e23)
% 19.29/4.94 |
% 19.29/4.94 +-Applying beta-rule and splitting (60), into two cases.
% 19.29/4.94 |-Branch one:
% 19.29/4.94 | (823) all_0_195_195 = e20
% 19.29/4.94 |
% 19.29/4.94 | From (823) and (651) follows:
% 19.29/4.94 | (824) op2(e20, all_0_202_202) = e21
% 19.29/4.94 |
% 19.29/4.94 | From (823) and (9) follows:
% 19.29/4.94 | (825) op2(all_0_202_202, e20) = e23
% 19.29/4.94 |
% 19.29/4.94 | From (823) and (47) follows:
% 19.29/4.94 | (826) op2(e23, e21) = e20
% 19.29/4.94 |
% 19.29/4.94 +-Applying beta-rule and splitting (252), into two cases.
% 19.29/4.94 |-Branch one:
% 19.29/4.94 | (827) all_0_198_198 = e21
% 19.29/4.94 |
% 19.29/4.94 | Equations (827) can reduce 806 to:
% 19.29/4.94 | (709) $false
% 19.29/4.94 |
% 19.29/4.94 |-The branch is then unsatisfiable
% 19.29/4.94 |-Branch two:
% 19.29/4.94 | (806) ~ (all_0_198_198 = e21)
% 19.29/4.94 | (830) all_0_198_198 = e24 | all_0_198_198 = e20
% 19.29/4.94 |
% 19.29/4.94 +-Applying beta-rule and splitting (45), into two cases.
% 19.29/4.94 |-Branch one:
% 19.29/4.94 | (831) all_0_194_194 = e22
% 19.29/4.94 |
% 19.29/4.94 | Equations (831) can reduce 386 to:
% 19.29/4.94 | (699) ~ (all_0_200_200 = e22)
% 19.29/4.94 |
% 19.29/4.94 | Simplifying 699 yields:
% 19.29/4.94 | (700) ~ (all_0_200_200 = e22)
% 19.29/4.94 |
% 19.29/4.94 | Equations (831) can reduce 691 to:
% 19.29/4.94 | (399) ~ (e22 = e21)
% 19.29/4.94 |
% 19.29/4.94 | From (831) and (435) follows:
% 19.29/4.94 | (835) op2(all_0_182_182, e22) = all_0_21_21
% 19.29/4.95 |
% 19.29/4.95 | From (831) and (508) follows:
% 19.29/4.95 | (836) op2(e22, all_0_182_182) = all_0_5_5
% 19.29/4.95 |
% 19.29/4.95 | From (831)(831) and (88) follows:
% 19.29/4.95 | (837) op2(e22, e22) = all_0_183_183
% 19.29/4.95 |
% 19.29/4.95 | From (831) and (77) follows:
% 19.29/4.95 | (838) op2(e22, e24) = all_0_1_1
% 19.29/4.95 |
% 19.29/4.95 | From (831) and (378) follows:
% 19.29/4.95 | (839) op2(e22, e20) = all_0_3_3
% 19.29/4.95 |
% 19.29/4.95 | From (831) and (322) follows:
% 19.29/4.95 | (840) op2(e24, e22) = all_0_182_182
% 19.29/4.95 |
% 19.29/4.95 | From (831) and (592) follows:
% 19.29/4.95 | (841) op2(e20, e22) = all_0_14_14
% 19.29/4.95 |
% 19.29/4.95 +-Applying beta-rule and splitting (830), into two cases.
% 19.29/4.95 |-Branch one:
% 19.29/4.95 | (842) all_0_198_198 = e20
% 19.29/4.95 |
% 19.29/4.95 | Equations (842) can reduce 200 to:
% 19.29/4.95 | (843) ~ (all_0_200_200 = e20)
% 19.29/4.95 |
% 19.29/4.95 | Simplifying 843 yields:
% 19.29/4.95 | (844) ~ (all_0_200_200 = e20)
% 19.29/4.95 |
% 19.29/4.95 | Equations (842) can reduce 487 to:
% 19.29/4.95 | (845) ~ (e23 = e20)
% 19.29/4.95 |
% 19.29/4.95 | Simplifying 845 yields:
% 19.29/4.95 | (383) ~ (e23 = e20)
% 19.29/4.95 |
% 19.29/4.95 | Equations (842) can reduce 806 to:
% 19.29/4.95 | (761) ~ (e21 = e20)
% 19.29/4.95 |
% 19.29/4.95 | Simplifying 761 yields:
% 19.29/4.95 | (258) ~ (e21 = e20)
% 19.29/4.95 |
% 19.29/4.95 | From (842) and (568) follows:
% 19.29/4.95 | (849) h3(e14) = e20
% 19.29/4.95 |
% 19.29/4.95 | From (842) and (314) follows:
% 19.29/4.95 | (850) op2(all_0_184_184, e20) = all_0_80_80
% 19.29/4.95 |
% 19.29/4.95 | From (842) and (555) follows:
% 19.29/4.95 | (851) op2(all_0_185_185, e20) = all_0_90_90
% 19.29/4.95 |
% 19.29/4.95 | From (842) and (367) follows:
% 19.29/4.95 | (852) op2(e20, all_0_184_184) = all_0_64_64
% 19.29/4.95 |
% 19.29/4.95 | From (842) and (79) follows:
% 19.29/4.95 | (853) op2(e20, all_0_185_185) = all_0_66_66
% 19.29/4.95 |
% 19.29/4.95 | From (842)(842) and (438) follows:
% 19.29/4.95 | (854) op2(e20, e20) = all_0_185_185
% 19.29/4.95 |
% 19.29/4.95 | From (842) and (614) follows:
% 19.29/4.95 | (855) op2(e20, e24) = e23
% 19.29/4.95 |
% 19.29/4.95 | From (842) and (328) follows:
% 19.29/4.95 | (856) op2(e20, e23) = all_0_62_62
% 19.29/4.95 |
% 19.29/4.95 | From (842) and (506) follows:
% 19.29/4.95 | (857) op2(e20, e22) = all_0_60_60
% 19.29/4.95 |
% 19.29/4.95 | From (842) and (106) follows:
% 19.29/4.95 | (858) op2(e24, e20) = e22
% 19.29/4.95 |
% 19.29/4.95 | From (842) and (495) follows:
% 19.29/4.95 | (859) op2(e23, e20) = all_0_73_73
% 19.29/4.95 |
% 19.29/4.95 | From (842) and (213) follows:
% 19.29/4.95 | (860) op2(e22, e20) = all_0_184_184
% 19.29/4.95 |
% 19.29/4.95 +-Applying beta-rule and splitting (646), into two cases.
% 19.29/4.95 |-Branch one:
% 19.29/4.95 | (861) all_0_196_196 = e20
% 19.29/4.95 |
% 19.29/4.95 | Combining equations (820,861) yields a new equation:
% 19.29/4.95 | (862) e23 = e20
% 19.29/4.95 |
% 19.29/4.95 | Simplifying 862 yields:
% 19.29/4.95 | (863) e23 = e20
% 19.29/4.95 |
% 19.29/4.95 | Equations (863) can reduce 383 to:
% 19.29/4.95 | (709) $false
% 19.29/4.95 |
% 19.29/4.95 |-The branch is then unsatisfiable
% 19.29/4.95 |-Branch two:
% 19.29/4.95 | (865) ~ (all_0_196_196 = e20)
% 19.29/4.95 | (866) all_0_200_200 = e20 | all_0_205_205 = e20
% 19.29/4.95 |
% 19.29/4.95 +-Applying beta-rule and splitting (866), into two cases.
% 19.29/4.95 |-Branch one:
% 19.29/4.95 | (867) all_0_200_200 = e20
% 19.29/4.95 |
% 19.29/4.95 | Equations (867) can reduce 844 to:
% 19.29/4.95 | (709) $false
% 19.29/4.95 |
% 19.29/4.95 |-The branch is then unsatisfiable
% 19.29/4.95 |-Branch two:
% 19.29/4.95 | (844) ~ (all_0_200_200 = e20)
% 19.29/4.95 | (870) all_0_205_205 = e20
% 19.29/4.95 |
% 19.29/4.95 | Equations (870) can reduce 408 to:
% 19.29/4.95 | (844) ~ (all_0_200_200 = e20)
% 19.29/4.95 |
% 19.29/4.95 | From (870) and (784) follows:
% 19.29/4.95 | (872) op2(e20, e22) = e20
% 19.29/4.95 |
% 19.29/4.95 +-Applying beta-rule and splitting (295), into two cases.
% 19.29/4.95 |-Branch one:
% 19.29/4.95 | (873) all_0_202_202 = e21
% 19.29/4.95 |
% 19.29/4.95 | Equations (873) can reduce 807 to:
% 19.29/4.95 | (709) $false
% 19.29/4.95 |
% 19.29/4.95 |-The branch is then unsatisfiable
% 19.29/4.95 |-Branch two:
% 19.29/4.95 | (807) ~ (all_0_202_202 = e21)
% 19.29/4.95 | (876) all_0_203_203 = e21 | all_0_204_204 = e21 | all_0_205_205 = e21
% 19.29/4.95 |
% 19.29/4.95 +-Applying beta-rule and splitting (598), into two cases.
% 19.29/4.95 |-Branch one:
% 19.29/4.95 | (877) all_0_194_194 = e21
% 19.29/4.95 |
% 19.29/4.95 | Combining equations (831,877) yields a new equation:
% 19.29/4.95 | (878) e22 = e21
% 19.29/4.95 |
% 19.29/4.95 | Simplifying 878 yields:
% 19.29/4.95 | (879) e22 = e21
% 19.29/4.95 |
% 19.29/4.95 | Equations (879) can reduce 399 to:
% 19.29/4.95 | (709) $false
% 19.29/4.95 |
% 19.29/4.95 |-The branch is then unsatisfiable
% 19.29/4.95 |-Branch two:
% 19.29/4.95 | (691) ~ (all_0_194_194 = e21)
% 19.29/4.95 | (882) all_0_200_200 = e21 | all_0_205_205 = e21
% 19.29/4.95 |
% 19.29/4.95 +-Applying beta-rule and splitting (882), into two cases.
% 19.29/4.95 |-Branch one:
% 19.29/4.95 | (883) all_0_200_200 = e21
% 19.29/4.95 |
% 19.29/4.95 | Equations (883) can reduce 700 to:
% 19.29/4.95 | (884) ~ (e22 = e21)
% 19.29/4.95 |
% 19.29/4.95 | Simplifying 884 yields:
% 19.29/4.95 | (399) ~ (e22 = e21)
% 19.29/4.95 |
% 19.29/4.96 | Equations (883) can reduce 844 to:
% 19.29/4.96 | (258) ~ (e21 = e20)
% 19.29/4.96 |
% 19.29/4.96 | From (883) and (763) follows:
% 19.29/4.96 | (887) op2(e21, e20) = e20
% 19.29/4.96 |
% 19.29/4.96 | From (883) and (56) follows:
% 19.29/4.96 | (888) op2(e22, e20) = e21
% 19.29/4.96 |
% 19.29/4.96 | From (883) and (764) follows:
% 19.29/4.96 | (889) op2(e20, e21) = e22
% 19.29/4.96 |
% 19.29/4.96 +-Applying beta-rule and splitting (179), into two cases.
% 19.29/4.96 |-Branch one:
% 19.29/4.96 | (890) all_0_201_201 = e23
% 19.29/4.96 |
% 19.29/4.96 | Combining equations (890,721) yields a new equation:
% 19.29/4.96 | (891) e24 = e23
% 19.29/4.96 |
% 19.29/4.96 | Equations (891) can reduce 563 to:
% 19.29/4.96 | (709) $false
% 19.29/4.96 |
% 19.29/4.96 |-The branch is then unsatisfiable
% 19.29/4.96 |-Branch two:
% 19.29/4.96 | (712) ~ (all_0_201_201 = e23)
% 19.29/4.96 | (894) all_0_202_202 = e23 | all_0_204_204 = e23 | all_0_205_205 = e23
% 19.29/4.96 |
% 19.29/4.96 | Equations (721) can reduce 712 to:
% 19.29/4.96 | (563) ~ (e24 = e23)
% 19.29/4.96 |
% 19.29/4.96 +-Applying beta-rule and splitting (447), into two cases.
% 19.29/4.96 |-Branch one:
% 19.29/4.96 | (896) all_0_191_191 = e23
% 19.29/4.96 |
% 19.29/4.96 | Combining equations (765,896) yields a new equation:
% 19.29/4.96 | (897) e24 = e23
% 19.29/4.96 |
% 19.29/4.96 | Simplifying 897 yields:
% 19.29/4.96 | (891) e24 = e23
% 19.29/4.96 |
% 19.29/4.96 | Equations (891) can reduce 563 to:
% 19.29/4.96 | (709) $false
% 19.29/4.96 |
% 19.29/4.96 |-The branch is then unsatisfiable
% 19.29/4.96 |-Branch two:
% 19.29/4.96 | (900) ~ (all_0_191_191 = e23)
% 19.29/4.96 | (901) all_0_202_202 = e23 | all_0_207_207 = e23
% 19.29/4.96 |
% 19.29/4.96 +-Applying beta-rule and splitting (31), into two cases.
% 19.29/4.96 |-Branch one:
% 19.29/4.96 | (902) all_0_204_204 = e21
% 19.29/4.96 |
% 19.29/4.96 | Equations (902) can reduce 800 to:
% 19.29/4.96 | (903) ~ (e23 = e21)
% 19.29/4.96 |
% 19.29/4.96 | Simplifying 903 yields:
% 19.29/4.96 | (600) ~ (e23 = e21)
% 19.29/4.96 |
% 19.29/4.96 | From (902) and (229) follows:
% 19.29/4.96 | (905) op2(all_0_187_187, e21) = all_0_102_102
% 19.29/4.96 |
% 19.29/4.96 | From (902) and (41) follows:
% 19.29/4.96 | (906) op2(e21, e21) = all_0_116_116
% 19.29/4.96 |
% 19.29/4.96 | From (902) and (379) follows:
% 19.29/4.96 | (907) op2(e21, e21) = all_0_187_187
% 19.29/4.96 |
% 19.29/4.96 | From (902) and (659) follows:
% 19.29/4.96 | (908) op2(e21, e21) = e21
% 19.29/4.96 |
% 19.29/4.96 +-Applying beta-rule and splitting (901), into two cases.
% 19.29/4.96 |-Branch one:
% 19.29/4.96 | (909) all_0_202_202 = e23
% 19.29/4.96 |
% 19.29/4.96 | From (909) and (825) follows:
% 19.29/4.96 | (910) op2(e23, e20) = e23
% 19.29/4.96 |
% 19.29/4.96 | From (909) and (517) follows:
% 19.29/4.96 | (911) op2(e21, e23) = e23
% 19.29/4.96 |
% 19.29/4.96 | From (909) and (824) follows:
% 19.29/4.96 | (912) op2(e20, e23) = e21
% 19.29/4.96 |
% 19.29/4.96 | Instantiating formula (7) with e24, e22, all_0_161_161, e21 and discharging atoms op2(e24, e22) = all_0_161_161, op2(e24, e22) = e21, yields:
% 19.29/4.96 | (913) all_0_161_161 = e21
% 19.29/4.96 |
% 19.29/4.96 | Instantiating formula (7) with e24, e22, all_0_182_182, all_0_161_161 and discharging atoms op2(e24, e22) = all_0_161_161, op2(e24, e22) = all_0_182_182, yields:
% 19.29/4.96 | (914) all_0_161_161 = all_0_182_182
% 19.29/4.96 |
% 19.29/4.96 | Instantiating formula (7) with e24, e21, e23, all_0_159_159 and discharging atoms op2(e24, e21) = all_0_159_159, op2(e24, e21) = e23, yields:
% 19.29/4.96 | (915) all_0_159_159 = e23
% 19.29/4.96 |
% 19.29/4.96 | Instantiating formula (7) with e23, e21, e20, all_0_147_147 and discharging atoms op2(e23, e21) = all_0_147_147, op2(e23, e21) = e20, yields:
% 19.29/4.96 | (916) all_0_147_147 = e20
% 19.29/4.96 |
% 19.29/4.96 | Instantiating formula (7) with e23, e20, e23, all_0_73_73 and discharging atoms op2(e23, e20) = all_0_73_73, op2(e23, e20) = e23, yields:
% 19.29/4.96 | (917) all_0_73_73 = e23
% 19.29/4.96 |
% 19.29/4.96 | Instantiating formula (7) with e22, e24, all_0_1_1, e22 and discharging atoms op2(e22, e24) = all_0_1_1, op2(e22, e24) = e22, yields:
% 19.29/4.96 | (918) all_0_1_1 = e22
% 19.29/4.96 |
% 19.29/4.96 | Instantiating formula (7) with e22, e24, all_0_177_177, all_0_1_1 and discharging atoms op2(e22, e24) = all_0_1_1, op2(e22, e24) = all_0_177_177, yields:
% 19.29/4.96 | (919) all_0_1_1 = all_0_177_177
% 19.29/4.96 |
% 19.29/4.96 | Instantiating formula (7) with e22, e22, all_0_181_181, e23 and discharging atoms op2(e22, e22) = all_0_181_181, op2(e22, e22) = e23, yields:
% 19.29/4.96 | (920) all_0_181_181 = e23
% 19.29/4.96 |
% 19.29/4.96 | Instantiating formula (7) with e22, e22, all_0_183_183, all_0_181_181 and discharging atoms op2(e22, e22) = all_0_181_181, op2(e22, e22) = all_0_183_183, yields:
% 19.29/4.96 | (921) all_0_181_181 = all_0_183_183
% 19.29/4.96 |
% 19.29/4.96 | Instantiating formula (7) with e22, e21, all_0_179_179, e24 and discharging atoms op2(e22, e21) = all_0_179_179, op2(e22, e21) = e24, yields:
% 19.29/4.96 | (922) all_0_179_179 = e24
% 19.29/4.96 |
% 19.29/4.96 | Instantiating formula (7) with e22, e20, all_0_175_175, all_0_3_3 and discharging atoms op2(e22, e20) = all_0_3_3, op2(e22, e20) = all_0_175_175, yields:
% 19.29/4.96 | (923) all_0_3_3 = all_0_175_175
% 19.29/4.96 |
% 19.29/4.96 | Instantiating formula (7) with e22, e20, all_0_184_184, all_0_3_3 and discharging atoms op2(e22, e20) = all_0_3_3, op2(e22, e20) = all_0_184_184, yields:
% 19.29/4.96 | (924) all_0_3_3 = all_0_184_184
% 19.29/4.96 |
% 19.29/4.96 | Instantiating formula (7) with e22, e20, e21, all_0_175_175 and discharging atoms op2(e22, e20) = all_0_175_175, op2(e22, e20) = e21, yields:
% 19.29/4.96 | (925) all_0_175_175 = e21
% 19.29/4.96 |
% 19.29/4.96 | Instantiating formula (7) with e21, e24, all_0_167_167, e24 and discharging atoms op2(e21, e24) = all_0_167_167, op2(e21, e24) = e24, yields:
% 19.29/4.96 | (926) all_0_167_167 = e24
% 19.29/4.96 |
% 19.29/4.96 | Instantiating formula (7) with e21, e23, e23, all_0_163_163 and discharging atoms op2(e21, e23) = all_0_163_163, op2(e21, e23) = e23, yields:
% 19.29/4.96 | (927) all_0_163_163 = e23
% 19.29/4.96 |
% 19.29/4.96 | Instantiating formula (7) with e21, e22, all_0_171_171, e22 and discharging atoms op2(e21, e22) = all_0_171_171, op2(e21, e22) = e22, yields:
% 19.29/4.96 | (928) all_0_171_171 = e22
% 19.29/4.96 |
% 19.29/4.96 | Instantiating formula (7) with e21, e21, all_0_169_169, all_0_116_116 and discharging atoms op2(e21, e21) = all_0_116_116, op2(e21, e21) = all_0_169_169, yields:
% 19.29/4.96 | (929) all_0_116_116 = all_0_169_169
% 19.29/4.96 |
% 19.29/4.96 | Instantiating formula (7) with e21, e21, all_0_187_187, all_0_116_116 and discharging atoms op2(e21, e21) = all_0_116_116, op2(e21, e21) = all_0_187_187, yields:
% 19.29/4.96 | (930) all_0_116_116 = all_0_187_187
% 19.29/4.96 |
% 19.29/4.96 | Instantiating formula (7) with e21, e21, e21, all_0_169_169 and discharging atoms op2(e21, e21) = all_0_169_169, op2(e21, e21) = e21, yields:
% 19.29/4.96 | (931) all_0_169_169 = e21
% 19.29/4.96 |
% 19.29/4.96 | Instantiating formula (7) with e21, e20, e20, all_0_165_165 and discharging atoms op2(e21, e20) = all_0_165_165, op2(e21, e20) = e20, yields:
% 19.29/4.96 | (932) all_0_165_165 = e20
% 19.29/4.96 |
% 19.29/4.96 | Instantiating formula (7) with e20, e23, e21, all_0_62_62 and discharging atoms op2(e20, e23) = all_0_62_62, op2(e20, e23) = e21, yields:
% 19.29/4.96 | (933) all_0_62_62 = e21
% 19.29/4.96 |
% 19.29/4.96 | Instantiating formula (7) with e20, e22, all_0_60_60, all_0_14_14 and discharging atoms op2(e20, e22) = all_0_14_14, op2(e20, e22) = all_0_60_60, yields:
% 19.29/4.96 | (934) all_0_14_14 = all_0_60_60
% 19.29/4.96 |
% 19.29/4.96 | Instantiating formula (7) with e20, e22, all_0_154_154, all_0_60_60 and discharging atoms op2(e20, e22) = all_0_60_60, op2(e20, e22) = all_0_154_154, yields:
% 19.29/4.97 | (935) all_0_60_60 = all_0_154_154
% 19.29/4.97 |
% 19.29/4.97 | Instantiating formula (7) with e20, e22, e20, all_0_14_14 and discharging atoms op2(e20, e22) = all_0_14_14, op2(e20, e22) = e20, yields:
% 19.29/4.97 | (936) all_0_14_14 = e20
% 19.29/4.97 |
% 19.29/4.97 | Instantiating formula (7) with e20, e21, e22, all_0_152_152 and discharging atoms op2(e20, e21) = all_0_152_152, op2(e20, e21) = e22, yields:
% 19.29/4.97 | (937) all_0_152_152 = e22
% 19.29/4.97 |
% 19.29/4.97 | Instantiating formula (7) with e20, e20, all_0_185_185, e24 and discharging atoms op2(e20, e20) = all_0_185_185, op2(e20, e20) = e24, yields:
% 19.29/4.97 | (938) all_0_185_185 = e24
% 19.29/4.97 |
% 19.29/4.97 | Combining equations (919,918) yields a new equation:
% 19.29/4.97 | (939) all_0_177_177 = e22
% 19.29/4.97 |
% 19.29/4.97 | Simplifying 939 yields:
% 19.29/4.97 | (940) all_0_177_177 = e22
% 19.29/4.97 |
% 19.29/4.97 | Combining equations (923,924) yields a new equation:
% 19.29/4.97 | (941) all_0_175_175 = all_0_184_184
% 19.29/4.97 |
% 19.29/4.97 | Simplifying 941 yields:
% 19.29/4.97 | (942) all_0_175_175 = all_0_184_184
% 19.29/4.97 |
% 19.29/4.97 | Combining equations (934,936) yields a new equation:
% 19.29/4.97 | (943) all_0_60_60 = e20
% 19.29/4.97 |
% 19.29/4.97 | Simplifying 943 yields:
% 19.29/4.97 | (944) all_0_60_60 = e20
% 19.29/4.97 |
% 19.29/4.97 | Combining equations (944,935) yields a new equation:
% 19.29/4.97 | (945) all_0_154_154 = e20
% 19.29/4.97 |
% 19.29/4.97 | Combining equations (929,930) yields a new equation:
% 19.29/4.97 | (946) all_0_169_169 = all_0_187_187
% 19.29/4.97 |
% 19.29/4.97 | Simplifying 946 yields:
% 19.29/4.97 | (947) all_0_169_169 = all_0_187_187
% 19.29/4.97 |
% 19.29/4.97 | Combining equations (913,914) yields a new equation:
% 19.29/4.97 | (948) all_0_182_182 = e21
% 19.29/4.97 |
% 19.29/4.97 | Combining equations (931,947) yields a new equation:
% 19.29/4.97 | (949) all_0_187_187 = e21
% 19.29/4.97 |
% 19.29/4.97 | Combining equations (925,942) yields a new equation:
% 19.29/4.97 | (950) all_0_184_184 = e21
% 19.29/4.97 |
% 19.29/4.97 | Combining equations (921,920) yields a new equation:
% 19.29/4.97 | (951) all_0_183_183 = e23
% 19.29/4.97 |
% 19.29/4.97 | Simplifying 951 yields:
% 19.29/4.97 | (952) all_0_183_183 = e23
% 19.29/4.97 |
% 19.29/4.97 | Combining equations (950,674) yields a new equation:
% 19.29/4.97 | (953) all_0_68_68 = e21
% 19.29/4.97 |
% 19.29/4.97 | Combining equations (945,935) yields a new equation:
% 19.29/4.97 | (944) all_0_60_60 = e20
% 19.29/4.97 |
% 19.29/4.97 | Combining equations (938,671) yields a new equation:
% 19.29/4.97 | (955) all_0_59_59 = e24
% 19.29/4.97 |
% 19.29/4.97 | From (950) and (550) follows:
% 19.29/4.97 | (956) h3(e11) = e21
% 19.29/4.97 |
% 19.29/4.97 | From (938) and (188) follows:
% 19.29/4.97 | (957) h3(e10) = e24
% 19.29/4.97 |
% 19.29/4.97 | From (948)(948) and (269) follows:
% 19.29/4.97 | (958) op2(e21, e21) = all_0_27_27
% 19.29/4.97 |
% 19.29/4.97 | From (948)(952) and (566) follows:
% 19.29/4.97 | (959) op2(e21, e23) = all_0_29_29
% 19.29/4.97 |
% 19.29/4.97 | From (948) and (446) follows:
% 19.29/4.97 | (960) op2(e21, e24) = all_0_23_23
% 19.29/4.97 |
% 19.29/4.97 | From (948) and (835) follows:
% 19.29/4.97 | (961) op2(e21, e22) = all_0_21_21
% 19.29/4.97 |
% 19.29/4.97 | From (948) and (182) follows:
% 19.29/4.97 | (962) op2(e21, e20) = all_0_25_25
% 19.29/4.97 |
% 19.29/4.97 | From (952)(948) and (133) follows:
% 19.29/4.97 | (963) op2(e23, e21) = all_0_37_37
% 19.29/4.97 |
% 19.29/4.97 | From (952) and (168) follows:
% 19.29/4.97 | (964) op2(e23, e24) = all_0_33_33
% 19.29/4.97 |
% 19.29/4.97 | From (950)(950) and (146) follows:
% 19.29/4.97 | (965) op2(e21, e21) = all_0_86_86
% 19.29/4.97 |
% 19.29/4.97 | From (950)(938) and (560) follows:
% 19.29/4.97 | (966) op2(e21, e24) = all_0_88_88
% 19.29/4.97 |
% 19.29/4.97 | From (950) and (593) follows:
% 19.29/4.97 | (967) op2(e21, e23) = all_0_84_84
% 19.29/4.97 |
% 19.29/4.97 | From (950) and (472) follows:
% 19.29/4.97 | (968) op2(e21, e22) = all_0_82_82
% 19.29/4.97 |
% 19.29/4.97 | From (950) and (850) follows:
% 19.29/4.97 | (969) op2(e21, e20) = all_0_80_80
% 19.29/4.97 |
% 19.29/4.97 | From (938)(950) and (117) follows:
% 19.29/4.97 | (970) op2(e24, e21) = all_0_96_96
% 19.29/4.97 |
% 19.29/4.97 | From (938)(938) and (52) follows:
% 19.29/4.97 | (971) op2(e24, e24) = all_0_98_98
% 19.29/4.97 |
% 19.29/4.97 | From (938) and (547) follows:
% 19.29/4.97 | (972) op2(e24, e23) = all_0_94_94
% 19.29/4.97 |
% 19.29/4.97 | From (938) and (6) follows:
% 19.29/4.97 | (973) op2(e24, e22) = all_0_92_92
% 19.29/4.97 |
% 19.29/4.97 | From (938) and (851) follows:
% 19.29/4.97 | (974) op2(e24, e20) = all_0_90_90
% 19.29/4.97 |
% 19.29/4.97 | From (949)(949) and (36) follows:
% 19.29/4.98 | (975) op2(e21, e21) = all_0_188_188
% 19.29/4.98 |
% 19.29/4.98 | From (949) and (905) follows:
% 19.29/4.98 | (976) op2(e21, e21) = all_0_102_102
% 19.29/4.98 |
% 19.29/4.98 | From (948) and (208) follows:
% 19.29/4.98 | (977) op2(e24, e21) = all_0_10_10
% 19.29/4.98 |
% 19.29/4.98 | From (952) and (61) follows:
% 19.29/4.98 | (978) op2(e24, e23) = all_0_12_12
% 19.29/4.98 |
% 19.29/4.98 | From (948) and (840) follows:
% 19.29/4.98 | (745) op2(e24, e22) = e21
% 19.29/4.98 |
% 19.29/4.98 | From (915) and (813) follows:
% 19.29/4.98 | (804) op2(e24, e21) = e23
% 19.29/4.98 |
% 19.29/4.98 | From (950) and (357) follows:
% 19.29/4.98 | (981) op2(e23, e21) = all_0_76_76
% 19.29/4.98 |
% 19.29/4.98 | From (938) and (16) follows:
% 19.29/4.98 | (982) op2(e23, e24) = all_0_78_78
% 19.29/4.98 |
% 19.29/4.98 | From (916) and (814) follows:
% 19.29/4.98 | (826) op2(e23, e21) = e20
% 19.29/4.98 |
% 19.29/4.98 | From (948) and (836) follows:
% 19.29/4.98 | (984) op2(e22, e21) = all_0_5_5
% 19.29/4.98 |
% 19.29/4.98 | From (950) and (519) follows:
% 19.29/4.98 | (985) op2(e22, e21) = all_0_69_69
% 19.29/4.98 |
% 19.29/4.98 | From (938) and (462) follows:
% 19.29/4.98 | (986) op2(e22, e24) = all_0_71_71
% 19.29/4.98 |
% 19.29/4.98 | From (940) and (743) follows:
% 19.29/4.98 | (746) op2(e22, e24) = e22
% 19.29/4.98 |
% 19.29/4.98 | From (922) and (815) follows:
% 19.29/4.98 | (706) op2(e22, e21) = e24
% 19.29/4.98 |
% 19.29/4.98 | From (949) and (212) follows:
% 19.29/4.98 | (989) op2(e21, e21) = all_0_186_186
% 19.29/4.98 |
% 19.29/4.98 | From (926) and (809) follows:
% 19.29/4.98 | (770) op2(e21, e24) = e24
% 19.29/4.98 |
% 19.29/4.98 | From (927) and (810) follows:
% 19.29/4.98 | (911) op2(e21, e23) = e23
% 19.29/4.98 |
% 19.29/4.98 | From (928) and (811) follows:
% 19.29/4.98 | (707) op2(e21, e22) = e22
% 19.29/4.98 |
% 19.29/4.98 | From (949) and (907) follows:
% 19.29/4.98 | (908) op2(e21, e21) = e21
% 19.29/4.98 |
% 19.29/4.98 | From (932) and (812) follows:
% 19.29/4.98 | (887) op2(e21, e20) = e20
% 19.29/4.98 |
% 19.29/4.98 | From (948) and (194) follows:
% 19.29/4.98 | (995) op2(e20, e21) = all_0_17_17
% 19.29/4.98 |
% 19.29/4.98 | From (950) and (852) follows:
% 19.29/4.98 | (996) op2(e20, e21) = all_0_64_64
% 19.29/4.98 |
% 19.29/4.98 | From (938) and (853) follows:
% 19.29/4.98 | (997) op2(e20, e24) = all_0_66_66
% 19.29/4.98 |
% 19.29/4.98 | From (937) and (816) follows:
% 19.29/4.98 | (889) op2(e20, e21) = e22
% 19.29/4.98 |
% 19.29/4.98 | Instantiating formula (7) with e24, e24, all_0_98_98, e20 and discharging atoms op2(e24, e24) = all_0_98_98, op2(e24, e24) = e20, yields:
% 19.29/4.98 | (999) all_0_98_98 = e20
% 19.29/4.98 |
% 19.29/4.98 | Instantiating formula (7) with e24, e23, all_0_12_12, e24 and discharging atoms op2(e24, e23) = all_0_12_12, op2(e24, e23) = e24, yields:
% 19.29/4.98 | (1000) all_0_12_12 = e24
% 19.29/4.98 |
% 19.29/4.98 | Instantiating formula (7) with e24, e23, all_0_94_94, all_0_12_12 and discharging atoms op2(e24, e23) = all_0_12_12, op2(e24, e23) = all_0_94_94, yields:
% 19.29/4.98 | (1001) all_0_12_12 = all_0_94_94
% 19.29/4.98 |
% 19.29/4.98 | Instantiating formula (7) with e24, e22, all_0_92_92, e21 and discharging atoms op2(e24, e22) = all_0_92_92, op2(e24, e22) = e21, yields:
% 19.29/4.98 | (1002) all_0_92_92 = e21
% 19.29/4.98 |
% 19.29/4.98 | Instantiating formula (7) with e24, e21, all_0_10_10, e23 and discharging atoms op2(e24, e21) = all_0_10_10, op2(e24, e21) = e23, yields:
% 19.49/4.98 | (1003) all_0_10_10 = e23
% 19.49/4.98 |
% 19.49/4.98 | Instantiating formula (7) with e24, e21, all_0_96_96, all_0_10_10 and discharging atoms op2(e24, e21) = all_0_10_10, op2(e24, e21) = all_0_96_96, yields:
% 19.49/4.98 | (1004) all_0_10_10 = all_0_96_96
% 19.49/4.98 |
% 19.49/4.98 | Instantiating formula (7) with e24, e20, all_0_90_90, e22 and discharging atoms op2(e24, e20) = all_0_90_90, op2(e24, e20) = e22, yields:
% 19.49/4.98 | (1005) all_0_90_90 = e22
% 19.49/4.98 |
% 19.49/4.98 | Instantiating formula (7) with e23, e24, all_0_33_33, e21 and discharging atoms op2(e23, e24) = all_0_33_33, op2(e23, e24) = e21, yields:
% 19.49/4.98 | (1006) all_0_33_33 = e21
% 19.49/4.98 |
% 19.49/4.98 | Instantiating formula (7) with e23, e24, all_0_78_78, all_0_33_33 and discharging atoms op2(e23, e24) = all_0_33_33, op2(e23, e24) = all_0_78_78, yields:
% 19.49/4.98 | (1007) all_0_33_33 = all_0_78_78
% 19.49/4.98 |
% 19.49/4.98 | Instantiating formula (7) with e23, e21, all_0_37_37, e20 and discharging atoms op2(e23, e21) = all_0_37_37, op2(e23, e21) = e20, yields:
% 19.49/4.98 | (1008) all_0_37_37 = e20
% 19.49/4.98 |
% 19.49/4.98 | Instantiating formula (7) with e23, e21, all_0_76_76, all_0_37_37 and discharging atoms op2(e23, e21) = all_0_37_37, op2(e23, e21) = all_0_76_76, yields:
% 19.49/4.98 | (1009) all_0_37_37 = all_0_76_76
% 19.49/4.98 |
% 19.49/4.98 | Instantiating formula (7) with e22, e24, all_0_71_71, e22 and discharging atoms op2(e22, e24) = all_0_71_71, op2(e22, e24) = e22, yields:
% 19.49/4.98 | (1010) all_0_71_71 = e22
% 19.49/4.98 |
% 19.49/4.98 | Instantiating formula (7) with e22, e21, all_0_5_5, e24 and discharging atoms op2(e22, e21) = all_0_5_5, op2(e22, e21) = e24, yields:
% 19.49/4.98 | (1011) all_0_5_5 = e24
% 19.49/4.98 |
% 19.49/4.98 | Instantiating formula (7) with e22, e21, all_0_69_69, all_0_5_5 and discharging atoms op2(e22, e21) = all_0_5_5, op2(e22, e21) = all_0_69_69, yields:
% 19.49/4.98 | (1012) all_0_5_5 = all_0_69_69
% 19.49/4.98 |
% 19.49/4.98 | Instantiating formula (7) with e21, e24, all_0_23_23, e24 and discharging atoms op2(e21, e24) = all_0_23_23, op2(e21, e24) = e24, yields:
% 19.49/4.98 | (1013) all_0_23_23 = e24
% 19.49/4.98 |
% 19.49/4.98 | Instantiating formula (7) with e21, e24, all_0_88_88, all_0_23_23 and discharging atoms op2(e21, e24) = all_0_23_23, op2(e21, e24) = all_0_88_88, yields:
% 19.49/4.98 | (1014) all_0_23_23 = all_0_88_88
% 19.49/4.98 |
% 19.49/4.98 | Instantiating formula (7) with e21, e23, all_0_29_29, e23 and discharging atoms op2(e21, e23) = all_0_29_29, op2(e21, e23) = e23, yields:
% 19.49/4.98 | (1015) all_0_29_29 = e23
% 19.49/4.98 |
% 19.49/4.98 | Instantiating formula (7) with e21, e23, all_0_84_84, all_0_29_29 and discharging atoms op2(e21, e23) = all_0_29_29, op2(e21, e23) = all_0_84_84, yields:
% 19.49/4.98 | (1016) all_0_29_29 = all_0_84_84
% 19.49/4.98 |
% 19.49/4.98 | Instantiating formula (7) with e21, e22, all_0_21_21, e22 and discharging atoms op2(e21, e22) = all_0_21_21, op2(e21, e22) = e22, yields:
% 19.49/4.98 | (1017) all_0_21_21 = e22
% 19.49/4.98 |
% 19.49/4.98 | Instantiating formula (7) with e21, e22, all_0_82_82, all_0_21_21 and discharging atoms op2(e21, e22) = all_0_21_21, op2(e21, e22) = all_0_82_82, yields:
% 19.49/4.98 | (1018) all_0_21_21 = all_0_82_82
% 19.49/4.98 |
% 19.49/4.98 | Instantiating formula (7) with e21, e21, all_0_86_86, all_0_27_27 and discharging atoms op2(e21, e21) = all_0_27_27, op2(e21, e21) = all_0_86_86, yields:
% 19.49/4.98 | (1019) all_0_27_27 = all_0_86_86
% 19.49/4.98 |
% 19.49/4.98 | Instantiating formula (7) with e21, e21, all_0_102_102, all_0_86_86 and discharging atoms op2(e21, e21) = all_0_86_86, op2(e21, e21) = all_0_102_102, yields:
% 19.49/4.98 | (1020) all_0_86_86 = all_0_102_102
% 19.49/4.98 |
% 19.49/4.98 | Instantiating formula (7) with e21, e21, all_0_186_186, e21 and discharging atoms op2(e21, e21) = all_0_186_186, op2(e21, e21) = e21, yields:
% 19.49/4.98 | (1021) all_0_186_186 = e21
% 19.49/4.98 |
% 19.49/4.98 | Instantiating formula (7) with e21, e21, all_0_186_186, all_0_102_102 and discharging atoms op2(e21, e21) = all_0_102_102, op2(e21, e21) = all_0_186_186, yields:
% 19.49/4.98 | (1022) all_0_102_102 = all_0_186_186
% 19.49/4.98 |
% 19.49/4.98 | Instantiating formula (7) with e21, e21, all_0_188_188, all_0_27_27 and discharging atoms op2(e21, e21) = all_0_27_27, op2(e21, e21) = all_0_188_188, yields:
% 19.49/4.98 | (1023) all_0_27_27 = all_0_188_188
% 19.49/4.98 |
% 19.49/4.98 | Instantiating formula (7) with e21, e20, all_0_25_25, e20 and discharging atoms op2(e21, e20) = all_0_25_25, op2(e21, e20) = e20, yields:
% 19.49/4.98 | (1024) all_0_25_25 = e20
% 19.49/4.98 |
% 19.49/4.98 | Instantiating formula (7) with e21, e20, all_0_80_80, all_0_25_25 and discharging atoms op2(e21, e20) = all_0_25_25, op2(e21, e20) = all_0_80_80, yields:
% 19.49/4.99 | (1025) all_0_25_25 = all_0_80_80
% 19.49/4.99 |
% 19.49/4.99 | Instantiating formula (7) with e20, e24, all_0_66_66, e23 and discharging atoms op2(e20, e24) = all_0_66_66, op2(e20, e24) = e23, yields:
% 19.49/4.99 | (1026) all_0_66_66 = e23
% 19.49/4.99 |
% 19.49/4.99 | Instantiating formula (7) with e20, e21, all_0_17_17, e22 and discharging atoms op2(e20, e21) = all_0_17_17, op2(e20, e21) = e22, yields:
% 19.49/4.99 | (1027) all_0_17_17 = e22
% 19.49/4.99 |
% 19.49/4.99 | Instantiating formula (7) with e20, e21, all_0_64_64, all_0_17_17 and discharging atoms op2(e20, e21) = all_0_17_17, op2(e20, e21) = all_0_64_64, yields:
% 19.49/4.99 | (1028) all_0_17_17 = all_0_64_64
% 19.49/4.99 |
% 19.49/4.99 | Combining equations (1012,1011) yields a new equation:
% 19.49/4.99 | (1029) all_0_69_69 = e24
% 19.49/4.99 |
% 19.49/4.99 | Simplifying 1029 yields:
% 19.49/4.99 | (1030) all_0_69_69 = e24
% 19.49/4.99 |
% 19.49/4.99 | Combining equations (1003,1004) yields a new equation:
% 19.49/4.99 | (1031) all_0_96_96 = e23
% 19.49/4.99 |
% 19.49/4.99 | Combining equations (1000,1001) yields a new equation:
% 19.49/4.99 | (1032) all_0_94_94 = e24
% 19.49/4.99 |
% 19.49/4.99 | Combining equations (1027,1028) yields a new equation:
% 19.49/4.99 | (1033) all_0_64_64 = e22
% 19.49/4.99 |
% 19.49/4.99 | Combining equations (1018,1017) yields a new equation:
% 19.49/4.99 | (1034) all_0_82_82 = e22
% 19.49/4.99 |
% 19.49/4.99 | Simplifying 1034 yields:
% 19.49/4.99 | (1035) all_0_82_82 = e22
% 19.49/4.99 |
% 19.49/4.99 | Combining equations (1013,1014) yields a new equation:
% 19.49/4.99 | (1036) all_0_88_88 = e24
% 19.49/4.99 |
% 19.49/4.99 | Combining equations (1025,1024) yields a new equation:
% 19.49/4.99 | (1037) all_0_80_80 = e20
% 19.49/4.99 |
% 19.49/4.99 | Simplifying 1037 yields:
% 19.49/4.99 | (1038) all_0_80_80 = e20
% 19.49/4.99 |
% 19.49/4.99 | Combining equations (1019,1023) yields a new equation:
% 19.49/4.99 | (1039) all_0_86_86 = all_0_188_188
% 19.49/4.99 |
% 19.49/4.99 | Simplifying 1039 yields:
% 19.49/4.99 | (1040) all_0_86_86 = all_0_188_188
% 19.49/4.99 |
% 19.49/4.99 | Combining equations (1015,1016) yields a new equation:
% 19.49/4.99 | (1041) all_0_84_84 = e23
% 19.49/4.99 |
% 19.49/4.99 | Combining equations (1006,1007) yields a new equation:
% 19.49/4.99 | (1042) all_0_78_78 = e21
% 19.49/4.99 |
% 19.49/4.99 | Combining equations (1009,1008) yields a new equation:
% 19.49/4.99 | (1043) all_0_76_76 = e20
% 19.49/4.99 |
% 19.49/4.99 | Simplifying 1043 yields:
% 19.49/4.99 | (1044) all_0_76_76 = e20
% 19.49/4.99 |
% 19.49/4.99 | Combining equations (1020,1040) yields a new equation:
% 19.49/4.99 | (1045) all_0_102_102 = all_0_188_188
% 19.49/4.99 |
% 19.49/4.99 | Simplifying 1045 yields:
% 19.49/4.99 | (1046) all_0_102_102 = all_0_188_188
% 19.49/4.99 |
% 19.49/4.99 | Combining equations (1022,1046) yields a new equation:
% 19.49/4.99 | (1047) all_0_186_186 = all_0_188_188
% 19.49/4.99 |
% 19.49/4.99 | Simplifying 1047 yields:
% 19.49/4.99 | (1048) all_0_186_186 = all_0_188_188
% 19.49/4.99 |
% 19.49/4.99 | Combining equations (1021,1048) yields a new equation:
% 19.49/4.99 | (1049) all_0_188_188 = e21
% 19.49/4.99 |
% 19.49/4.99 | Combining equations (1049,1040) yields a new equation:
% 19.49/4.99 | (1050) all_0_86_86 = e21
% 19.49/4.99 |
% 19.49/4.99 +-Applying beta-rule and splitting (458), into two cases.
% 19.49/4.99 |-Branch one:
% 19.49/4.99 | (1051) all_0_211_211 = e11
% 19.49/4.99 |
% 19.49/4.99 | Equations (1051) can reduce 72 to:
% 19.49/4.99 | (1052) ~ (all_0_210_210 = e11)
% 19.49/4.99 |
% 19.49/4.99 | Equations (1051) can reduce 19 to:
% 19.49/4.99 | (1053) ~ (all_0_212_212 = e11)
% 19.49/4.99 |
% 19.49/4.99 | Simplifying 1053 yields:
% 19.49/4.99 | (1054) ~ (all_0_212_212 = e11)
% 19.49/4.99 |
% 19.49/4.99 | Equations (1051) can reduce 262 to:
% 19.49/4.99 | (1055) ~ (all_0_213_213 = e11)
% 19.49/4.99 |
% 19.49/4.99 | Simplifying 1055 yields:
% 19.49/4.99 | (1056) ~ (all_0_213_213 = e11)
% 19.49/4.99 |
% 19.49/4.99 | Equations (1051) can reduce 151 to:
% 19.49/4.99 | (1057) ~ (all_0_222_222 = e11)
% 19.49/4.99 |
% 19.49/4.99 | Simplifying 1057 yields:
% 19.49/4.99 | (1058) ~ (all_0_222_222 = e11)
% 19.49/4.99 |
% 19.49/4.99 | Equations (1051) can reduce 266 to:
% 19.49/4.99 | (1059) ~ (all_0_227_227 = e11)
% 19.49/4.99 |
% 19.49/4.99 | Simplifying 1059 yields:
% 19.49/4.99 | (1060) ~ (all_0_227_227 = e11)
% 19.49/4.99 |
% 19.49/4.99 | From (1051) and (417) follows:
% 19.49/4.99 | (1061) op1(e11, all_0_216_216) = e12
% 19.49/4.99 |
% 19.49/4.99 | From (1051) and (365) follows:
% 19.49/4.99 | (1062) op1(all_0_216_216, e11) = e14
% 19.49/4.99 |
% 19.49/4.99 | From (1051) and (589) follows:
% 19.49/4.99 | (1063) h3(e11) = all_0_63_63
% 19.49/4.99 |
% 19.49/4.99 | Instantiating formula (120) with e11, all_0_63_63, e21 and discharging atoms h3(e11) = all_0_63_63, h3(e11) = e21, yields:
% 19.49/4.99 | (1064) all_0_63_63 = e21
% 19.49/4.99 |
% 19.49/4.99 | From (1064) and (1063) follows:
% 19.49/4.99 | (956) h3(e11) = e21
% 19.49/4.99 |
% 19.49/4.99 +-Applying beta-rule and splitting (93), into two cases.
% 19.49/4.99 |-Branch one:
% 19.49/4.99 | (1066) all_0_214_214 = e10
% 19.49/4.99 |
% 19.49/4.99 | Equations (1066) can reduce 649 to:
% 19.49/4.99 | (1067) ~ (all_0_215_215 = e10)
% 19.49/4.99 |
% 19.49/4.99 | Simplifying 1067 yields:
% 19.49/4.99 | (1068) ~ (all_0_215_215 = e10)
% 19.49/4.99 |
% 19.49/4.99 | Equations (1066) can reduce 197 to:
% 19.49/4.99 | (1069) ~ (all_0_218_218 = e10)
% 19.49/4.99 |
% 19.49/4.99 | Simplifying 1069 yields:
% 19.49/4.99 | (1070) ~ (all_0_218_218 = e10)
% 19.49/4.99 |
% 19.49/4.99 | Equations (1066) can reduce 405 to:
% 19.49/4.99 | (1071) ~ (all_0_228_228 = e10)
% 19.49/4.99 |
% 19.49/4.99 | Simplifying 1071 yields:
% 19.49/4.99 | (1072) ~ (all_0_228_228 = e10)
% 19.49/4.99 |
% 19.49/4.99 | From (1066) and (327) follows:
% 19.49/4.99 | (1073) h3(e10) = all_0_70_70
% 19.49/4.99 |
% 19.49/4.99 +-Applying beta-rule and splitting (631), into two cases.
% 19.49/4.99 |-Branch one:
% 19.49/4.99 | (1074) all_0_215_215 = e13
% 19.49/4.99 |
% 19.49/4.99 | Equations (1074) can reduce 442 to:
% 19.49/4.99 | (1075) ~ (all_0_213_213 = e13)
% 19.49/4.99 |
% 19.49/4.99 | Equations (1074) can reduce 361 to:
% 19.49/4.99 | (1076) ~ (all_0_219_219 = e13)
% 19.49/4.99 |
% 19.49/4.99 | Simplifying 1076 yields:
% 19.49/4.99 | (409) ~ (all_0_219_219 = e13)
% 19.49/4.99 |
% 19.49/4.99 | Equations (1074) can reduce 292 to:
% 19.49/4.99 | (1078) ~ (all_0_224_224 = e13)
% 19.49/4.99 |
% 19.49/4.99 | Simplifying 1078 yields:
% 19.49/4.99 | (1079) ~ (all_0_224_224 = e13)
% 19.49/4.99 |
% 19.49/4.99 | From (1074) and (261) follows:
% 19.49/4.99 | (1080) op1(all_0_226_226, e13) = e13
% 19.49/4.99 |
% 19.49/4.99 | From (1074) and (345) follows:
% 19.49/4.99 | (1081) h3(e13) = all_0_72_72
% 19.49/4.99 |
% 19.49/4.99 +-Applying beta-rule and splitting (523), into two cases.
% 19.49/4.99 |-Branch one:
% 19.49/4.99 | (1082) all_0_213_213 = e11
% 19.49/4.99 |
% 19.49/4.99 | Equations (1082) can reduce 1056 to:
% 19.49/4.99 | (709) $false
% 19.49/4.99 |
% 19.49/4.99 |-The branch is then unsatisfiable
% 19.49/4.99 |-Branch two:
% 19.49/4.99 | (1056) ~ (all_0_213_213 = e11)
% 19.49/4.99 | (1085) all_0_213_213 = e13 | all_0_213_213 = e12
% 19.49/4.99 |
% 19.49/4.99 +-Applying beta-rule and splitting (1085), into two cases.
% 19.49/4.99 |-Branch one:
% 19.49/4.99 | (1086) all_0_213_213 = e12
% 19.49/4.99 |
% 19.49/4.99 | Equations (1086) can reduce 256 to:
% 19.49/4.99 | (1087) ~ (all_0_212_212 = e12)
% 19.49/4.99 |
% 19.49/4.99 | Equations (1086) can reduce 84 to:
% 19.49/4.99 | (1088) ~ (all_0_219_219 = e12)
% 19.49/4.99 |
% 19.49/4.99 | Simplifying 1088 yields:
% 19.49/4.99 | (1089) ~ (all_0_219_219 = e12)
% 19.49/4.99 |
% 19.49/4.99 | Equations (1086) can reduce 310 to:
% 19.49/4.99 | (1090) ~ (all_0_224_224 = e12)
% 19.49/4.99 |
% 19.49/4.99 | Simplifying 1090 yields:
% 19.49/4.99 | (1091) ~ (all_0_224_224 = e12)
% 19.49/4.99 |
% 19.49/4.99 | From (1086) and (73) follows:
% 19.49/4.99 | (1092) op1(e12, all_0_225_225) = e10
% 19.49/4.99 |
% 19.49/4.99 | From (1086) and (155) follows:
% 19.49/4.99 | (1093) op1(all_0_225_225, e12) = e14
% 19.49/4.99 |
% 19.49/4.99 | From (1086) and (376) follows:
% 19.49/4.99 | (1094) h3(e12) = all_0_67_67
% 19.49/4.99 |
% 19.49/4.99 | Instantiating formula (120) with e13, all_0_72_72, e22 and discharging atoms h3(e13) = all_0_72_72, h3(e13) = e22, yields:
% 19.49/4.99 | (1095) all_0_72_72 = e22
% 19.49/4.99 |
% 19.49/4.99 | Instantiating formula (120) with e12, all_0_67_67, e23 and discharging atoms h3(e12) = all_0_67_67, h3(e12) = e23, yields:
% 19.49/4.99 | (1096) all_0_67_67 = e23
% 19.49/4.99 |
% 19.49/4.99 | Instantiating formula (120) with e10, all_0_70_70, e24 and discharging atoms h3(e10) = all_0_70_70, h3(e10) = e24, yields:
% 19.49/4.99 | (1097) all_0_70_70 = e24
% 19.49/4.99 |
% 19.49/4.99 | From (1095) and (1081) follows:
% 19.49/4.99 | (407) h3(e13) = e22
% 19.49/4.99 |
% 19.49/4.99 | From (1096) and (1094) follows:
% 19.49/4.99 | (216) h3(e12) = e23
% 19.49/4.99 |
% 19.49/4.99 | From (1097) and (1073) follows:
% 19.49/4.99 | (957) h3(e10) = e24
% 19.49/4.99 |
% 19.49/4.99 +-Applying beta-rule and splitting (626), into two cases.
% 19.49/4.99 |-Branch one:
% 19.49/4.99 | (1101) all_0_222_222 = e10
% 19.49/4.99 |
% 19.49/4.99 | Equations (1101) can reduce 389 to:
% 19.49/4.99 | (1102) ~ (all_0_224_224 = e10)
% 19.49/4.99 |
% 19.49/4.99 | Simplifying 1102 yields:
% 19.49/4.99 | (1103) ~ (all_0_224_224 = e10)
% 19.49/4.99 |
% 19.49/4.99 | Equations (1101) can reduce 308 to:
% 19.49/4.99 | (1104) ~ (all_0_227_227 = e10)
% 19.49/4.99 |
% 19.49/4.99 | Simplifying 1104 yields:
% 19.49/4.99 | (1105) ~ (all_0_227_227 = e10)
% 19.49/4.99 |
% 19.49/4.99 +-Applying beta-rule and splitting (22), into two cases.
% 19.49/4.99 |-Branch one:
% 19.49/4.99 | (1106) all_0_226_226 = e10
% 19.49/4.99 |
% 19.49/4.99 | Equations (1106) can reduce 602 to:
% 19.49/4.99 | (1107) ~ (all_0_217_217 = e10)
% 19.49/4.99 |
% 19.49/4.99 | Equations (1106) can reduce 71 to:
% 19.49/4.99 | (1071) ~ (all_0_228_228 = e10)
% 19.49/4.99 |
% 19.49/4.99 | Simplifying 1071 yields:
% 19.49/4.99 | (1072) ~ (all_0_228_228 = e10)
% 19.49/4.99 |
% 19.49/4.99 +-Applying beta-rule and splitting (653), into two cases.
% 19.49/4.99 |-Branch one:
% 19.49/5.00 | (1110) all_0_217_217 = e10
% 19.49/5.00 |
% 19.49/5.00 | Equations (1110) can reduce 1107 to:
% 19.49/5.00 | (709) $false
% 19.49/5.00 |
% 19.49/5.00 |-The branch is then unsatisfiable
% 19.49/5.00 |-Branch two:
% 19.49/5.00 | (1107) ~ (all_0_217_217 = e10)
% 19.49/5.00 | (1113) all_0_218_218 = e10 | all_0_219_219 = e10
% 19.49/5.00 |
% 19.49/5.00 +-Applying beta-rule and splitting (260), into two cases.
% 19.49/5.00 |-Branch one:
% 19.49/5.00 | (1114) all_0_224_224 = e11
% 19.49/5.00 |
% 19.49/5.00 | Equations (1114) can reduce 520 to:
% 19.49/5.00 | (1115) ~ (all_0_219_219 = e11)
% 19.49/5.00 |
% 19.49/5.00 | From (1114) and (525) follows:
% 19.49/5.00 | (1116) op1(e11, all_0_228_228) = e10
% 19.49/5.00 |
% 19.49/5.00 | From (1114) and (244) follows:
% 19.49/5.00 | (1117) op1(all_0_228_228, e11) = e11
% 19.49/5.00 |
% 19.49/5.00 +-Applying beta-rule and splitting (1113), into two cases.
% 19.49/5.00 |-Branch one:
% 19.49/5.00 | (1118) all_0_218_218 = e10
% 19.49/5.00 |
% 19.49/5.00 | Equations (1118) can reduce 1070 to:
% 19.49/5.00 | (709) $false
% 19.49/5.00 |
% 19.49/5.00 |-The branch is then unsatisfiable
% 19.49/5.00 |-Branch two:
% 19.49/5.00 | (1070) ~ (all_0_218_218 = e10)
% 19.49/5.00 | (1121) all_0_219_219 = e10
% 19.49/5.00 |
% 19.49/5.00 | Equations (1121) can reduce 375 to:
% 19.49/5.00 | (1107) ~ (all_0_217_217 = e10)
% 19.49/5.00 |
% 19.49/5.00 | Equations (1121) can reduce 1115 to:
% 19.49/5.00 | (1123) ~ (e11 = e10)
% 19.49/5.00 |
% 19.49/5.00 | Simplifying 1123 yields:
% 19.49/5.00 | (368) ~ (e11 = e10)
% 19.49/5.00 |
% 19.49/5.00 +-Applying beta-rule and splitting (108), into two cases.
% 19.49/5.00 |-Branch one:
% 19.49/5.00 | (1125) all_0_226_226 = e11
% 19.49/5.00 |
% 19.49/5.00 | Combining equations (1106,1125) yields a new equation:
% 19.49/5.00 | (1126) e11 = e10
% 19.49/5.00 |
% 19.49/5.00 | Equations (1126) can reduce 368 to:
% 19.49/5.00 | (709) $false
% 19.49/5.00 |
% 19.49/5.00 |-The branch is then unsatisfiable
% 19.49/5.00 |-Branch two:
% 19.49/5.00 | (1128) ~ (all_0_226_226 = e11)
% 19.49/5.00 | (1129) all_0_227_227 = e11 | all_0_228_228 = e11
% 19.49/5.00 |
% 19.49/5.00 +-Applying beta-rule and splitting (387), into two cases.
% 19.49/5.00 |-Branch one:
% 19.49/5.00 | (1130) all_0_227_227 = e11
% 19.49/5.00 |
% 19.49/5.00 | Equations (1130) can reduce 1060 to:
% 19.49/5.00 | (709) $false
% 19.49/5.00 |
% 19.49/5.00 |-The branch is then unsatisfiable
% 19.49/5.00 |-Branch two:
% 19.49/5.00 | (1060) ~ (all_0_227_227 = e11)
% 19.49/5.00 | (1133) all_0_227_227 = e12 | all_0_227_227 = e10
% 19.49/5.00 |
% 19.49/5.00 +-Applying beta-rule and splitting (1129), into two cases.
% 19.49/5.00 |-Branch one:
% 19.49/5.00 | (1130) all_0_227_227 = e11
% 19.49/5.00 |
% 19.49/5.00 | Equations (1130) can reduce 1060 to:
% 19.49/5.00 | (709) $false
% 19.49/5.00 |
% 19.49/5.00 |-The branch is then unsatisfiable
% 19.49/5.00 |-Branch two:
% 19.49/5.00 | (1060) ~ (all_0_227_227 = e11)
% 19.49/5.00 | (1137) all_0_228_228 = e11
% 19.49/5.00 |
% 19.49/5.00 | Equations (1137) can reduce 39 to:
% 19.49/5.00 | (1138) ~ (all_0_218_218 = e11)
% 19.49/5.00 |
% 19.49/5.00 | Equations (1137) can reduce 1072 to:
% 19.49/5.00 | (368) ~ (e11 = e10)
% 19.49/5.00 |
% 19.49/5.00 | From (1137) and (1117) follows:
% 19.49/5.00 | (1140) op1(e11, e11) = e11
% 19.49/5.00 |
% 19.49/5.00 | From (1137) and (1116) follows:
% 19.49/5.00 | (1141) op1(e11, e11) = e10
% 19.49/5.00 |
% 19.49/5.00 +-Applying beta-rule and splitting (311), into two cases.
% 19.49/5.00 |-Branch one:
% 19.49/5.00 | (1142) all_0_210_210 = e11
% 19.49/5.00 |
% 19.49/5.00 | Equations (1142) can reduce 1052 to:
% 19.49/5.00 | (709) $false
% 19.49/5.00 |
% 19.49/5.00 |-The branch is then unsatisfiable
% 19.49/5.00 |-Branch two:
% 19.49/5.00 | (1052) ~ (all_0_210_210 = e11)
% 19.49/5.00 | (1145) all_0_217_217 = e11 | all_0_221_221 = e11 | all_0_226_226 = e11
% 19.49/5.00 |
% 19.49/5.00 +-Applying beta-rule and splitting (1145), into two cases.
% 19.49/5.00 |-Branch one:
% 19.49/5.00 | (1146) all_0_217_217 = e11
% 19.49/5.00 |
% 19.49/5.00 | Equations (1146) can reduce 1107 to:
% 19.49/5.00 | (368) ~ (e11 = e10)
% 19.49/5.00 |
% 19.49/5.00 | Instantiating formula (406) with e11, e11, e11, all_0_223_223 and discharging atoms op1(e11, e11) = all_0_223_223, op1(e11, e11) = e11, yields:
% 19.49/5.00 | (1148) all_0_223_223 = e11
% 19.49/5.00 |
% 19.49/5.00 | Instantiating formula (406) with e11, e11, e10, all_0_223_223 and discharging atoms op1(e11, e11) = all_0_223_223, op1(e11, e11) = e10, yields:
% 19.49/5.00 | (1149) all_0_223_223 = e10
% 19.49/5.00 |
% 19.49/5.00 | Combining equations (1149,1148) yields a new equation:
% 19.49/5.00 | (1126) e11 = e10
% 19.49/5.00 |
% 19.49/5.00 | Equations (1126) can reduce 368 to:
% 19.49/5.00 | (709) $false
% 19.49/5.00 |
% 19.49/5.00 |-The branch is then unsatisfiable
% 19.49/5.00 |-Branch two:
% 19.49/5.00 | (1152) ~ (all_0_217_217 = e11)
% 19.49/5.00 | (1153) all_0_221_221 = e11 | all_0_226_226 = e11
% 19.49/5.00 |
% 19.49/5.00 +-Applying beta-rule and splitting (488), into two cases.
% 19.49/5.00 |-Branch one:
% 19.49/5.00 | (1146) all_0_217_217 = e11
% 19.49/5.00 |
% 19.49/5.00 | Equations (1146) can reduce 1152 to:
% 19.49/5.00 | (709) $false
% 19.49/5.00 |
% 19.49/5.00 |-The branch is then unsatisfiable
% 19.49/5.00 |-Branch two:
% 19.49/5.00 | (1152) ~ (all_0_217_217 = e11)
% 19.49/5.00 | (1157) all_0_218_218 = e11 | all_0_219_219 = e11
% 19.49/5.00 |
% 19.49/5.00 +-Applying beta-rule and splitting (1157), into two cases.
% 19.49/5.00 |-Branch one:
% 19.49/5.00 | (1158) all_0_218_218 = e11
% 19.49/5.00 |
% 19.49/5.00 | Equations (1158) can reduce 1138 to:
% 19.49/5.00 | (709) $false
% 19.49/5.00 |
% 19.49/5.00 |-The branch is then unsatisfiable
% 19.49/5.00 |-Branch two:
% 19.49/5.00 | (1138) ~ (all_0_218_218 = e11)
% 19.49/5.00 | (1161) all_0_219_219 = e11
% 19.49/5.00 |
% 19.49/5.00 | Combining equations (1121,1161) yields a new equation:
% 19.49/5.00 | (1126) e11 = e10
% 19.49/5.00 |
% 19.49/5.00 | Equations (1126) can reduce 368 to:
% 19.49/5.00 | (709) $false
% 19.49/5.00 |
% 19.49/5.00 |-The branch is then unsatisfiable
% 19.49/5.00 |-Branch two:
% 19.49/5.00 | (1164) ~ (all_0_224_224 = e11)
% 19.49/5.00 | (1165) all_0_224_224 = e13 | all_0_224_224 = e12 | all_0_224_224 = e10
% 19.49/5.00 |
% 19.49/5.00 +-Applying beta-rule and splitting (1165), into two cases.
% 19.49/5.00 |-Branch one:
% 19.49/5.00 | (1166) all_0_224_224 = e12
% 19.49/5.00 |
% 19.49/5.00 | Equations (1166) can reduce 1091 to:
% 19.49/5.00 | (709) $false
% 19.49/5.00 |
% 19.49/5.00 |-The branch is then unsatisfiable
% 19.49/5.00 |-Branch two:
% 19.49/5.00 | (1091) ~ (all_0_224_224 = e12)
% 19.49/5.00 | (1169) all_0_224_224 = e13 | all_0_224_224 = e10
% 19.49/5.00 |
% 19.49/5.00 +-Applying beta-rule and splitting (1169), into two cases.
% 19.49/5.00 |-Branch one:
% 19.49/5.00 | (1170) all_0_224_224 = e13
% 19.49/5.00 |
% 19.49/5.00 | Equations (1170) can reduce 1079 to:
% 19.49/5.00 | (709) $false
% 19.49/5.00 |
% 19.49/5.00 |-The branch is then unsatisfiable
% 19.49/5.00 |-Branch two:
% 19.49/5.00 | (1079) ~ (all_0_224_224 = e13)
% 19.49/5.00 | (1173) all_0_224_224 = e10
% 19.49/5.00 |
% 19.49/5.00 | Equations (1173) can reduce 1103 to:
% 19.49/5.00 | (709) $false
% 19.49/5.00 |
% 19.49/5.00 |-The branch is then unsatisfiable
% 19.49/5.00 |-Branch two:
% 19.49/5.00 | (1175) ~ (all_0_226_226 = e10)
% 19.49/5.00 | (1176) all_0_227_227 = e10 | all_0_228_228 = e10
% 19.49/5.00 |
% 19.49/5.00 +-Applying beta-rule and splitting (1176), into two cases.
% 19.49/5.00 |-Branch one:
% 19.49/5.00 | (1177) all_0_227_227 = e10
% 19.49/5.00 |
% 19.49/5.00 | Equations (1177) can reduce 1105 to:
% 19.49/5.00 | (709) $false
% 19.49/5.00 |
% 19.49/5.00 |-The branch is then unsatisfiable
% 19.49/5.00 |-Branch two:
% 19.49/5.00 | (1105) ~ (all_0_227_227 = e10)
% 19.49/5.00 | (1180) all_0_228_228 = e10
% 19.49/5.00 |
% 19.49/5.00 | Equations (1180) can reduce 1072 to:
% 19.49/5.00 | (709) $false
% 19.49/5.00 |
% 19.49/5.00 |-The branch is then unsatisfiable
% 19.49/5.00 |-Branch two:
% 19.49/5.00 | (1182) ~ (all_0_222_222 = e10)
% 19.49/5.00 | (1177) all_0_227_227 = e10
% 19.49/5.00 |
% 19.49/5.00 | Equations (1177) can reduce 308 to:
% 19.49/5.00 | (1182) ~ (all_0_222_222 = e10)
% 19.49/5.00 |
% 19.49/5.00 | Equations (1177) can reduce 460 to:
% 19.49/5.00 | (1175) ~ (all_0_226_226 = e10)
% 19.49/5.00 |
% 19.49/5.00 | Equations (1177) can reduce 660 to:
% 19.49/5.00 | (1071) ~ (all_0_228_228 = e10)
% 19.49/5.00 |
% 19.49/5.00 | Simplifying 1071 yields:
% 19.49/5.00 | (1072) ~ (all_0_228_228 = e10)
% 19.49/5.00 |
% 19.49/5.00 | Equations (1177) can reduce 1060 to:
% 19.49/5.00 | (1123) ~ (e11 = e10)
% 19.49/5.00 |
% 19.49/5.00 | Simplifying 1123 yields:
% 19.49/5.00 | (368) ~ (e11 = e10)
% 19.49/5.00 |
% 19.49/5.00 | From (1177) and (457) follows:
% 19.49/5.00 | (1190) h3(e10) = all_0_95_95
% 19.49/5.00 |
% 19.49/5.00 +-Applying beta-rule and splitting (510), into two cases.
% 19.49/5.00 |-Branch one:
% 19.49/5.00 | (1191) all_0_222_222 = e11
% 19.49/5.00 |
% 19.49/5.00 | Equations (1191) can reduce 1058 to:
% 19.49/5.00 | (709) $false
% 19.49/5.00 |
% 19.49/5.00 |-The branch is then unsatisfiable
% 19.49/5.00 |-Branch two:
% 19.49/5.00 | (1058) ~ (all_0_222_222 = e11)
% 19.49/5.00 | (1194) all_0_222_222 = e12 | all_0_222_222 = e10
% 19.49/5.00 |
% 19.49/5.00 +-Applying beta-rule and splitting (1194), into two cases.
% 19.49/5.00 |-Branch one:
% 19.49/5.00 | (1195) all_0_222_222 = e12
% 19.49/5.00 |
% 19.49/5.00 | Equations (1195) can reduce 501 to:
% 19.49/5.00 | (1196) ~ (all_0_220_220 = e12)
% 19.49/5.00 |
% 19.49/5.00 | From (1195) and (89) follows:
% 19.49/5.00 | (1197) op1(all_0_218_218, e12) = e11
% 19.49/5.00 |
% 19.49/5.00 | From (1195) and (63) follows:
% 19.49/5.00 | (1198) op1(e12, all_0_218_218) = e12
% 19.49/5.00 |
% 19.49/5.00 | From (1195) and (369) follows:
% 19.49/5.00 | (1199) h3(e12) = all_0_85_85
% 19.49/5.00 |
% 19.49/5.00 | Instantiating formula (120) with e12, all_0_85_85, e23 and discharging atoms h3(e12) = all_0_85_85, h3(e12) = e23, yields:
% 19.49/5.00 | (1200) all_0_85_85 = e23
% 19.49/5.01 |
% 19.49/5.01 | Instantiating formula (120) with e10, all_0_95_95, e24 and discharging atoms h3(e10) = all_0_95_95, h3(e10) = e24, yields:
% 19.49/5.01 | (1201) all_0_95_95 = e24
% 19.49/5.01 |
% 19.49/5.01 | From (1200) and (1199) follows:
% 19.49/5.01 | (216) h3(e12) = e23
% 19.49/5.01 |
% 19.49/5.01 | From (1201) and (1190) follows:
% 19.49/5.01 | (957) h3(e10) = e24
% 19.49/5.01 |
% 19.49/5.01 +-Applying beta-rule and splitting (131), into two cases.
% 19.49/5.01 |-Branch one:
% 19.49/5.01 | (1204) all_0_225_225 = e12
% 19.49/5.01 |
% 19.49/5.01 | Equations (1204) can reduce 419 to:
% 19.49/5.01 | (1205) ~ (all_0_216_216 = e12)
% 19.49/5.01 |
% 19.49/5.01 | From (1204) and (1093) follows:
% 19.49/5.01 | (1206) op1(e12, e12) = e14
% 19.49/5.01 |
% 19.49/5.01 | From (1204) and (1092) follows:
% 19.49/5.01 | (1207) op1(e12, e12) = e10
% 19.49/5.01 |
% 19.49/5.01 +-Applying beta-rule and splitting (67), into two cases.
% 19.49/5.01 |-Branch one:
% 19.49/5.01 | (1208) all_0_216_216 = e12
% 19.49/5.01 |
% 19.49/5.01 | Equations (1208) can reduce 1205 to:
% 19.49/5.01 | (709) $false
% 19.49/5.01 |
% 19.49/5.01 |-The branch is then unsatisfiable
% 19.49/5.01 |-Branch two:
% 19.49/5.01 | (1205) ~ (all_0_216_216 = e12)
% 19.49/5.01 | (1211) all_0_216_216 = e14
% 19.49/5.01 |
% 19.49/5.01 | Equations (1211) can reduce 1205 to:
% 19.49/5.01 | (616) ~ (e14 = e12)
% 19.49/5.01 |
% 19.49/5.01 +-Applying beta-rule and splitting (557), into two cases.
% 19.49/5.01 |-Branch one:
% 19.49/5.01 | (1213) all_0_212_212 = e12
% 19.49/5.01 |
% 19.49/5.01 | Equations (1213) can reduce 1087 to:
% 19.49/5.01 | (709) $false
% 19.49/5.01 |
% 19.49/5.01 |-The branch is then unsatisfiable
% 19.49/5.01 |-Branch two:
% 19.49/5.01 | (1087) ~ (all_0_212_212 = e12)
% 19.49/5.01 | (1216) all_0_218_218 = e12 | all_0_223_223 = e12 | all_0_228_228 = e12
% 19.49/5.01 |
% 19.49/5.01 +-Applying beta-rule and splitting (236), into two cases.
% 19.49/5.01 |-Branch one:
% 19.49/5.01 | (1208) all_0_216_216 = e12
% 19.49/5.01 |
% 19.49/5.01 | Combining equations (1211,1208) yields a new equation:
% 19.49/5.01 | (1218) e14 = e12
% 19.49/5.01 |
% 19.49/5.01 | Simplifying 1218 yields:
% 19.49/5.01 | (1219) e14 = e12
% 19.49/5.01 |
% 19.49/5.01 | Equations (1219) can reduce 616 to:
% 19.49/5.01 | (709) $false
% 19.49/5.01 |
% 19.49/5.01 |-The branch is then unsatisfiable
% 19.49/5.01 |-Branch two:
% 19.49/5.01 | (1205) ~ (all_0_216_216 = e12)
% 19.49/5.01 | (1222) all_0_218_218 = e12 | all_0_219_219 = e12
% 19.49/5.01 |
% 19.49/5.01 +-Applying beta-rule and splitting (1216), into two cases.
% 19.49/5.01 |-Branch one:
% 19.49/5.01 | (1223) all_0_218_218 = e12
% 19.49/5.01 |
% 19.49/5.01 | From (1223) and (1197) follows:
% 19.49/5.01 | (1224) op1(e12, e12) = e11
% 19.49/5.01 |
% 19.49/5.01 | From (1223) and (1198) follows:
% 19.49/5.01 | (1225) op1(e12, e12) = e12
% 19.49/5.01 |
% 19.49/5.01 | Instantiating formula (406) with e12, e12, e14, e13 and discharging atoms op1(e12, e12) = e14, op1(e12, e12) = e13, yields:
% 19.49/5.01 | (1226) e14 = e13
% 19.49/5.01 |
% 19.49/5.01 | Instantiating formula (406) with e12, e12, e12, e14 and discharging atoms op1(e12, e12) = e14, op1(e12, e12) = e12, yields:
% 19.49/5.01 | (1219) e14 = e12
% 19.49/5.01 |
% 19.49/5.01 | Instantiating formula (406) with e12, e12, e11, e14 and discharging atoms op1(e12, e12) = e14, op1(e12, e12) = e11, yields:
% 19.49/5.01 | (1228) e14 = e11
% 19.49/5.01 |
% 19.49/5.01 | Instantiating formula (406) with e12, e12, e10, e12 and discharging atoms op1(e12, e12) = e12, op1(e12, e12) = e10, yields:
% 19.49/5.01 | (1229) e12 = e10
% 19.49/5.01 |
% 19.49/5.01 | Combining equations (1219,1226) yields a new equation:
% 19.49/5.01 | (1230) e13 = e12
% 19.49/5.01 |
% 19.49/5.01 | Combining equations (1228,1226) yields a new equation:
% 19.49/5.01 | (1231) e13 = e11
% 19.49/5.01 |
% 19.49/5.01 | Combining equations (1230,1231) yields a new equation:
% 19.49/5.01 | (1232) e12 = e11
% 19.49/5.01 |
% 19.49/5.01 | Simplifying 1232 yields:
% 19.49/5.01 | (1233) e12 = e11
% 19.49/5.01 |
% 19.49/5.01 | Combining equations (1233,1229) yields a new equation:
% 19.49/5.01 | (1234) e11 = e10
% 19.49/5.01 |
% 19.49/5.01 | Simplifying 1234 yields:
% 19.49/5.01 | (1126) e11 = e10
% 19.49/5.01 |
% 19.49/5.01 | Equations (1126) can reduce 368 to:
% 19.49/5.01 | (709) $false
% 19.49/5.01 |
% 19.49/5.01 |-The branch is then unsatisfiable
% 19.49/5.01 |-Branch two:
% 19.49/5.01 | (1237) ~ (all_0_218_218 = e12)
% 19.49/5.01 | (1238) all_0_223_223 = e12 | all_0_228_228 = e12
% 19.49/5.01 |
% 19.49/5.01 +-Applying beta-rule and splitting (1222), into two cases.
% 19.49/5.01 |-Branch one:
% 19.49/5.01 | (1223) all_0_218_218 = e12
% 19.49/5.01 |
% 19.49/5.01 | Equations (1223) can reduce 1237 to:
% 19.49/5.01 | (709) $false
% 19.49/5.01 |
% 19.49/5.01 |-The branch is then unsatisfiable
% 19.49/5.01 |-Branch two:
% 19.49/5.01 | (1237) ~ (all_0_218_218 = e12)
% 19.49/5.01 | (1242) all_0_219_219 = e12
% 19.49/5.01 |
% 19.49/5.01 | Equations (1242) can reduce 1089 to:
% 19.49/5.01 | (709) $false
% 19.49/5.01 |
% 19.49/5.01 |-The branch is then unsatisfiable
% 19.49/5.01 |-Branch two:
% 19.49/5.01 | (1244) ~ (all_0_225_225 = e12)
% 19.49/5.01 | (1245) all_0_225_225 = e13
% 19.49/5.01 |
% 19.49/5.01 | Equations (1245) can reduce 124 to:
% 19.49/5.01 | (1246) ~ (all_0_226_226 = e13)
% 19.49/5.01 |
% 19.49/5.01 | Simplifying 1246 yields:
% 19.49/5.01 | (1247) ~ (all_0_226_226 = e13)
% 19.49/5.01 |
% 19.49/5.01 | Equations (1245) can reduce 603 to:
% 19.49/5.01 | (1248) ~ (all_0_228_228 = e13)
% 19.49/5.01 |
% 19.49/5.01 | Simplifying 1248 yields:
% 19.49/5.01 | (1249) ~ (all_0_228_228 = e13)
% 19.49/5.01 |
% 19.49/5.01 | From (1245) and (1092) follows:
% 19.49/5.01 | (1250) op1(e12, e13) = e10
% 19.49/5.01 |
% 19.49/5.01 | From (1245) and (583) follows:
% 19.49/5.01 | (1251) h3(e13) = all_0_91_91
% 19.49/5.01 |
% 19.49/5.01 +-Applying beta-rule and splitting (332), into two cases.
% 19.49/5.01 |-Branch one:
% 19.49/5.01 | (1125) all_0_226_226 = e11
% 19.49/5.01 |
% 19.49/5.01 | Equations (1125) can reduce 71 to:
% 19.49/5.01 | (1253) ~ (all_0_228_228 = e11)
% 19.49/5.01 |
% 19.49/5.01 | Simplifying 1253 yields:
% 19.49/5.01 | (1254) ~ (all_0_228_228 = e11)
% 19.49/5.01 |
% 19.49/5.01 | From (1125) and (1080) follows:
% 19.49/5.01 | (1255) op1(e11, e13) = e13
% 19.49/5.01 |
% 19.49/5.01 | From (1125) and (307) follows:
% 19.49/5.01 | (1256) h3(e11) = all_0_93_93
% 19.49/5.01 |
% 19.49/5.01 +-Applying beta-rule and splitting (455), into two cases.
% 19.49/5.01 |-Branch one:
% 19.49/5.01 | (1137) all_0_228_228 = e11
% 19.49/5.01 |
% 19.49/5.01 | Equations (1137) can reduce 1254 to:
% 19.49/5.01 | (709) $false
% 19.49/5.01 |
% 19.49/5.01 |-The branch is then unsatisfiable
% 19.49/5.01 |-Branch two:
% 19.49/5.01 | (1254) ~ (all_0_228_228 = e11)
% 19.49/5.01 | (1260) all_0_228_228 = e13 | all_0_228_228 = e12 | all_0_228_228 = e10
% 19.49/5.01 |
% 19.49/5.01 +-Applying beta-rule and splitting (1260), into two cases.
% 19.49/5.01 |-Branch one:
% 19.49/5.01 | (1261) all_0_228_228 = e12
% 19.49/5.01 |
% 19.49/5.01 | Equations (1261) can reduce 397 to:
% 19.49/5.01 | (1087) ~ (all_0_212_212 = e12)
% 19.49/5.01 |
% 19.49/5.01 | Equations (1261) can reduce 350 to:
% 19.49/5.01 | (1263) ~ (e14 = e12)
% 19.49/5.01 |
% 19.49/5.01 | Simplifying 1263 yields:
% 19.49/5.01 | (616) ~ (e14 = e12)
% 19.49/5.01 |
% 19.49/5.01 | Equations (1261) can reduce 1249 to:
% 19.49/5.01 | (1265) ~ (e13 = e12)
% 19.49/5.01 |
% 19.49/5.01 | Simplifying 1265 yields:
% 19.49/5.01 | (584) ~ (e13 = e12)
% 19.49/5.01 |
% 19.49/5.01 | From (1261) and (176) follows:
% 19.49/5.01 | (1267) h3(e12) = all_0_97_97
% 19.49/5.01 |
% 19.49/5.01 +-Applying beta-rule and splitting (554), into two cases.
% 19.49/5.01 |-Branch one:
% 19.49/5.01 | (1208) all_0_216_216 = e12
% 19.49/5.01 |
% 19.49/5.01 | Equations (1208) can reduce 107 to:
% 19.49/5.01 | (1088) ~ (all_0_219_219 = e12)
% 19.49/5.01 |
% 19.49/5.01 | Simplifying 1088 yields:
% 19.49/5.01 | (1089) ~ (all_0_219_219 = e12)
% 19.49/5.01 |
% 19.49/5.01 | From (1208) and (1062) follows:
% 19.49/5.01 | (1271) op1(e12, e11) = e14
% 19.49/5.01 |
% 19.49/5.01 | From (1208) and (371) follows:
% 19.49/5.01 | (1272) h3(e12) = all_0_74_74
% 19.49/5.01 |
% 19.49/5.01 +-Applying beta-rule and splitting (192), into two cases.
% 19.49/5.01 |-Branch one:
% 19.49/5.01 | (1211) all_0_216_216 = e14
% 19.49/5.01 |
% 19.49/5.01 | Combining equations (1208,1211) yields a new equation:
% 19.49/5.01 | (1219) e14 = e12
% 19.49/5.01 |
% 19.49/5.01 | Equations (1219) can reduce 616 to:
% 19.49/5.01 | (709) $false
% 19.49/5.01 |
% 19.49/5.01 |-The branch is then unsatisfiable
% 19.49/5.01 |-Branch two:
% 19.49/5.01 | (1276) ~ (all_0_216_216 = e14)
% 19.49/5.01 | (1277) all_0_220_220 = e14
% 19.49/5.01 |
% 19.49/5.01 | From (1277) and (150) follows:
% 19.49/5.01 | (1278) h3(e14) = all_0_81_81
% 19.49/5.01 |
% 19.49/5.01 | Instantiating formula (406) with e12, e13, e10, all_0_217_217 and discharging atoms op1(e12, e13) = all_0_217_217, op1(e12, e13) = e10, yields:
% 19.49/5.02 | (1110) all_0_217_217 = e10
% 19.49/5.02 |
% 19.49/5.02 | Instantiating formula (406) with e12, e11, e14, all_0_218_218 and discharging atoms op1(e12, e11) = all_0_218_218, op1(e12, e11) = e14, yields:
% 19.49/5.02 | (1280) all_0_218_218 = e14
% 19.49/5.02 |
% 19.49/5.02 | Instantiating formula (406) with e11, e13, e13, all_0_221_221 and discharging atoms op1(e11, e13) = all_0_221_221, op1(e11, e13) = e13, yields:
% 19.49/5.02 | (1281) all_0_221_221 = e13
% 19.49/5.02 |
% 19.49/5.02 | Instantiating formula (120) with e14, all_0_81_81, e20 and discharging atoms h3(e14) = all_0_81_81, h3(e14) = e20, yields:
% 19.49/5.02 | (1282) all_0_81_81 = e20
% 19.49/5.02 |
% 19.49/5.02 | Instantiating formula (120) with e13, all_0_91_91, e22 and discharging atoms h3(e13) = all_0_91_91, h3(e13) = e22, yields:
% 19.49/5.02 | (1283) all_0_91_91 = e22
% 19.49/5.02 |
% 19.49/5.02 | Instantiating formula (120) with e12, all_0_74_74, e23 and discharging atoms h3(e12) = all_0_74_74, h3(e12) = e23, yields:
% 19.49/5.02 | (1284) all_0_74_74 = e23
% 19.49/5.02 |
% 19.49/5.02 | Instantiating formula (120) with e12, all_0_97_97, all_0_74_74 and discharging atoms h3(e12) = all_0_74_74, h3(e12) = all_0_97_97, yields:
% 19.49/5.02 | (1285) all_0_74_74 = all_0_97_97
% 19.49/5.02 |
% 19.49/5.02 | Instantiating formula (120) with e11, all_0_93_93, e21 and discharging atoms h3(e11) = all_0_93_93, h3(e11) = e21, yields:
% 19.49/5.02 | (1286) all_0_93_93 = e21
% 19.49/5.02 |
% 19.49/5.02 | Combining equations (1285,1284) yields a new equation:
% 19.49/5.02 | (1287) all_0_97_97 = e23
% 19.49/5.02 |
% 19.49/5.02 | Simplifying 1287 yields:
% 19.49/5.02 | (1288) all_0_97_97 = e23
% 19.49/5.02 |
% 19.49/5.02 | Equations (1280) can reduce 263 to:
% 19.49/5.02 | (1289) ~ (all_0_212_212 = e14)
% 19.49/5.02 |
% 19.49/5.02 | Equations (1110) can reduce 375 to:
% 19.49/5.02 | (1290) ~ (all_0_219_219 = e10)
% 19.49/5.02 |
% 19.49/5.02 | Simplifying 1290 yields:
% 19.49/5.02 | (1291) ~ (all_0_219_219 = e10)
% 19.49/5.02 |
% 19.49/5.02 | Equations (1110) can reduce 239 to:
% 19.49/5.02 | (1292) ~ (e13 = e10)
% 19.49/5.02 |
% 19.49/5.02 | Simplifying 1292 yields:
% 19.49/5.02 | (175) ~ (e13 = e10)
% 19.49/5.02 |
% 19.49/5.02 | Equations (1280) can reduce 204 to:
% 19.49/5.02 | (1294) ~ (all_0_219_219 = e14)
% 19.49/5.02 |
% 19.49/5.02 | Simplifying 1294 yields:
% 19.49/5.02 | (324) ~ (all_0_219_219 = e14)
% 19.49/5.02 |
% 19.49/5.02 | From (1110) and (532) follows:
% 19.49/5.02 | (1296) h3(e10) = all_0_75_75
% 19.49/5.02 |
% 19.49/5.02 | From (1280) and (478) follows:
% 19.49/5.02 | (1297) h3(e14) = all_0_77_77
% 19.49/5.02 |
% 19.49/5.02 | From (1281) and (97) follows:
% 19.49/5.02 | (1298) h3(e13) = all_0_83_83
% 19.49/5.02 |
% 19.49/5.02 | From (1282) and (1278) follows:
% 19.49/5.02 | (849) h3(e14) = e20
% 19.49/5.02 |
% 19.49/5.02 | From (1283) and (1251) follows:
% 19.49/5.02 | (407) h3(e13) = e22
% 19.49/5.02 |
% 19.49/5.02 | From (1286) and (1256) follows:
% 19.49/5.02 | (956) h3(e11) = e21
% 19.49/5.02 |
% 19.49/5.02 +-Applying beta-rule and splitting (11), into two cases.
% 19.49/5.02 |-Branch one:
% 19.49/5.02 | (1302) all_0_210_210 = e14
% 19.49/5.02 |
% 19.49/5.02 | Equations (1302) can reduce 366 to:
% 19.49/5.02 | (1303) ~ (all_0_212_212 = e14)
% 19.49/5.02 |
% 19.49/5.02 | Simplifying 1303 yields:
% 19.49/5.02 | (1289) ~ (all_0_212_212 = e14)
% 19.49/5.02 |
% 19.49/5.02 | From (1302) and (43) follows:
% 19.49/5.02 | (1305) h3(e14) = all_0_61_61
% 19.49/5.02 |
% 19.49/5.02 +-Applying beta-rule and splitting (157), into two cases.
% 19.49/5.02 |-Branch one:
% 19.49/5.02 | (1148) all_0_223_223 = e11
% 19.49/5.02 |
% 19.49/5.02 | Equations (1148) can reduce 551 to:
% 19.49/5.02 | (1054) ~ (all_0_212_212 = e11)
% 19.49/5.02 |
% 19.49/5.02 | From (1148) and (96) follows:
% 19.49/5.02 | (1308) h3(e11) = all_0_87_87
% 19.49/5.02 |
% 19.49/5.02 +-Applying beta-rule and splitting (74), into two cases.
% 19.49/5.02 |-Branch one:
% 19.49/5.02 | (1161) all_0_219_219 = e11
% 19.49/5.02 |
% 19.49/5.02 | Equations (1161) can reduce 1291 to:
% 19.49/5.02 | (368) ~ (e11 = e10)
% 19.49/5.02 |
% 19.49/5.02 | From (1161) and (642) follows:
% 19.49/5.02 | (1311) h3(e11) = all_0_79_79
% 19.49/5.02 |
% 19.49/5.02 +-Applying beta-rule and splitting (500), into two cases.
% 19.49/5.02 |-Branch one:
% 19.49/5.02 | (1312) all_0_212_212 = e11
% 19.49/5.02 |
% 19.49/5.02 | Equations (1312) can reduce 1054 to:
% 19.49/5.02 | (709) $false
% 19.49/5.02 |
% 19.49/5.02 |-The branch is then unsatisfiable
% 19.49/5.02 |-Branch two:
% 19.49/5.02 | (1054) ~ (all_0_212_212 = e11)
% 19.49/5.02 | (1315) all_0_212_212 = e14 | all_0_212_212 = e13 | all_0_212_212 = e12
% 19.49/5.02 |
% 19.49/5.02 +-Applying beta-rule and splitting (277), into two cases.
% 19.49/5.02 |-Branch one:
% 19.49/5.02 | (1316) all_0_215_215 = e10
% 19.49/5.02 |
% 19.49/5.02 | Combining equations (1074,1316) yields a new equation:
% 19.49/5.02 | (1317) e13 = e10
% 19.49/5.02 |
% 19.49/5.02 | Simplifying 1317 yields:
% 19.49/5.02 | (1318) e13 = e10
% 19.49/5.02 |
% 19.49/5.02 | Equations (1318) can reduce 175 to:
% 19.49/5.02 | (709) $false
% 19.49/5.02 |
% 19.49/5.02 |-The branch is then unsatisfiable
% 19.49/5.02 |-Branch two:
% 19.49/5.02 | (1068) ~ (all_0_215_215 = e10)
% 19.49/5.02 | (1321) all_0_219_219 = e10 | all_0_224_224 = e10
% 19.49/5.02 |
% 19.49/5.02 +-Applying beta-rule and splitting (1321), into two cases.
% 19.49/5.02 |-Branch one:
% 19.49/5.02 | (1121) all_0_219_219 = e10
% 19.49/5.02 |
% 19.49/5.02 | Combining equations (1161,1121) yields a new equation:
% 19.49/5.02 | (1234) e11 = e10
% 19.49/5.02 |
% 19.49/5.02 | Simplifying 1234 yields:
% 19.49/5.02 | (1126) e11 = e10
% 19.49/5.02 |
% 19.49/5.02 | Equations (1126) can reduce 368 to:
% 19.49/5.02 | (709) $false
% 19.49/5.02 |
% 19.49/5.02 |-The branch is then unsatisfiable
% 19.49/5.02 |-Branch two:
% 19.49/5.02 | (1291) ~ (all_0_219_219 = e10)
% 19.49/5.02 | (1173) all_0_224_224 = e10
% 19.49/5.02 |
% 19.49/5.02 | From (1173) and (562) follows:
% 19.49/5.02 | (1328) h3(e10) = all_0_89_89
% 19.49/5.02 |
% 19.49/5.02 +-Applying beta-rule and splitting (95), into two cases.
% 19.49/5.02 |-Branch one:
% 19.49/5.02 | (1329) all_0_212_212 = e13
% 19.49/5.02 |
% 19.49/5.02 | From (1329) and (528) follows:
% 19.49/5.02 | (1330) h3(e13) = all_0_65_65
% 19.49/5.02 |
% 19.49/5.02 | Instantiating formula (120) with e14, all_0_61_61, e20 and discharging atoms h3(e14) = all_0_61_61, h3(e14) = e20, yields:
% 19.49/5.02 | (1331) all_0_61_61 = e20
% 19.49/5.02 |
% 19.49/5.02 | Instantiating formula (120) with e14, all_0_77_77, all_0_61_61 and discharging atoms h3(e14) = all_0_61_61, h3(e14) = all_0_77_77, yields:
% 19.49/5.02 | (1332) all_0_61_61 = all_0_77_77
% 19.49/5.02 |
% 19.49/5.02 | Instantiating formula (120) with e13, all_0_65_65, e22 and discharging atoms h3(e13) = all_0_65_65, h3(e13) = e22, yields:
% 19.49/5.02 | (1333) all_0_65_65 = e22
% 19.49/5.02 |
% 19.49/5.02 | Instantiating formula (120) with e13, all_0_83_83, all_0_65_65 and discharging atoms h3(e13) = all_0_65_65, h3(e13) = all_0_83_83, yields:
% 19.49/5.02 | (1334) all_0_65_65 = all_0_83_83
% 19.49/5.02 |
% 19.49/5.02 | Instantiating formula (120) with e11, all_0_79_79, e21 and discharging atoms h3(e11) = all_0_79_79, h3(e11) = e21, yields:
% 19.49/5.02 | (1335) all_0_79_79 = e21
% 19.49/5.02 |
% 19.49/5.02 | Instantiating formula (120) with e11, all_0_87_87, all_0_79_79 and discharging atoms h3(e11) = all_0_79_79, h3(e11) = all_0_87_87, yields:
% 19.49/5.02 | (1336) all_0_79_79 = all_0_87_87
% 19.49/5.02 |
% 19.49/5.02 | Instantiating formula (120) with e10, all_0_75_75, e24 and discharging atoms h3(e10) = all_0_75_75, h3(e10) = e24, yields:
% 19.49/5.02 | (1337) all_0_75_75 = e24
% 19.49/5.02 |
% 19.49/5.02 | Instantiating formula (120) with e10, all_0_89_89, all_0_75_75 and discharging atoms h3(e10) = all_0_75_75, h3(e10) = all_0_89_89, yields:
% 19.49/5.02 | (1338) all_0_75_75 = all_0_89_89
% 19.49/5.02 |
% 19.49/5.02 | Combining equations (1331,1332) yields a new equation:
% 19.49/5.02 | (1339) all_0_77_77 = e20
% 19.49/5.02 |
% 19.49/5.02 | Combining equations (1333,1334) yields a new equation:
% 19.49/5.02 | (1340) all_0_83_83 = e22
% 19.49/5.02 |
% 19.49/5.02 | Combining equations (1337,1338) yields a new equation:
% 19.49/5.02 | (1341) all_0_89_89 = e24
% 19.49/5.02 |
% 19.49/5.02 | Combining equations (1335,1336) yields a new equation:
% 19.49/5.02 | (1342) all_0_87_87 = e21
% 19.49/5.02 |
% 19.49/5.02 | Combining equations (1342,1336) yields a new equation:
% 19.49/5.02 | (1335) all_0_79_79 = e21
% 19.49/5.02 |
% 19.49/5.02 | Combining equations (1341,1338) yields a new equation:
% 19.49/5.02 | (1337) all_0_75_75 = e24
% 19.49/5.02 |
% 19.49/5.02 | Combining equations (1340,1334) yields a new equation:
% 19.49/5.02 | (1333) all_0_65_65 = e22
% 19.49/5.02 |
% 19.49/5.02 | Combining equations (1339,1332) yields a new equation:
% 19.49/5.02 | (1331) all_0_61_61 = e20
% 19.49/5.02 |
% 19.49/5.02 +-Applying beta-rule and splitting (211), into two cases.
% 19.49/5.02 |-Branch one:
% 19.49/5.02 | (1347) ~ (all_0_75_75 = e24)
% 19.49/5.02 |
% 19.49/5.02 | Equations (1337) can reduce 1347 to:
% 19.49/5.02 | (709) $false
% 19.49/5.02 |
% 19.49/5.02 |-The branch is then unsatisfiable
% 19.49/5.02 |-Branch two:
% 19.49/5.02 | (1337) all_0_75_75 = e24
% 19.49/5.02 | (1350) ~ (all_0_59_59 = all_0_185_185) | ~ (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_184_184) | ~ (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_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_198_198) | ( ~ (all_0_184_184 = e24) & ~ (all_0_185_185 = e24) & ~ (all_0_198_198 = e24)) | ( ~ (all_0_184_184 = e21) & ~ (all_0_185_185 = e21) & ~ (all_0_198_198 = e21)) | ( ~ (all_0_184_184 = e20) & ~ (all_0_185_185 = e20) & ~ (all_0_198_198 = e20))
% 19.49/5.02 |
% 19.49/5.02 +-Applying beta-rule and splitting (1350), into two cases.
% 19.49/5.02 |-Branch one:
% 19.49/5.02 | (1351) ~ (all_0_59_59 = all_0_185_185)
% 19.49/5.02 |
% 19.49/5.02 | Equations (955,938) can reduce 1351 to:
% 19.49/5.02 | (709) $false
% 19.49/5.02 |
% 19.49/5.02 |-The branch is then unsatisfiable
% 19.49/5.02 |-Branch two:
% 19.49/5.02 | (671) all_0_59_59 = all_0_185_185
% 19.49/5.02 | (1354) ~ (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_184_184) | ~ (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_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_198_198) | ( ~ (all_0_184_184 = e24) & ~ (all_0_185_185 = e24) & ~ (all_0_198_198 = e24)) | ( ~ (all_0_184_184 = e21) & ~ (all_0_185_185 = e21) & ~ (all_0_198_198 = e21)) | ( ~ (all_0_184_184 = e20) & ~ (all_0_185_185 = e20) & ~ (all_0_198_198 = e20))
% 19.49/5.02 |
% 19.49/5.02 | Combining equations (955,671) yields a new equation:
% 19.49/5.03 | (938) all_0_185_185 = e24
% 19.49/5.03 |
% 19.49/5.03 +-Applying beta-rule and splitting (1354), into two cases.
% 19.49/5.03 |-Branch one:
% 19.49/5.03 | (1356) ~ (all_0_60_60 = all_0_61_61)
% 19.49/5.03 |
% 19.49/5.03 | Equations (944,1331) can reduce 1356 to:
% 19.49/5.03 | (709) $false
% 19.49/5.03 |
% 19.49/5.03 |-The branch is then unsatisfiable
% 19.49/5.03 |-Branch two:
% 19.49/5.03 | (1358) all_0_60_60 = all_0_61_61
% 19.49/5.03 | (1359) ~ (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_184_184) | ~ (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_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_198_198) | ( ~ (all_0_184_184 = e24) & ~ (all_0_185_185 = e24) & ~ (all_0_198_198 = e24)) | ( ~ (all_0_184_184 = e21) & ~ (all_0_185_185 = e21) & ~ (all_0_198_198 = e21)) | ( ~ (all_0_184_184 = e20) & ~ (all_0_185_185 = e20) & ~ (all_0_198_198 = e20))
% 19.49/5.03 |
% 19.49/5.03 +-Applying beta-rule and splitting (1359), into two cases.
% 19.49/5.03 |-Branch one:
% 19.49/5.03 | (1360) ~ (all_0_62_62 = all_0_63_63)
% 19.49/5.03 |
% 19.49/5.03 | Equations (933,1064) can reduce 1360 to:
% 19.49/5.03 | (709) $false
% 19.49/5.03 |
% 19.49/5.03 |-The branch is then unsatisfiable
% 19.49/5.03 |-Branch two:
% 19.49/5.03 | (1362) all_0_62_62 = all_0_63_63
% 19.49/5.03 | (1363) ~ (all_0_64_64 = all_0_65_65) | ~ (all_0_66_66 = all_0_67_67) | ~ (all_0_68_68 = all_0_184_184) | ~ (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_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_198_198) | ( ~ (all_0_184_184 = e24) & ~ (all_0_185_185 = e24) & ~ (all_0_198_198 = e24)) | ( ~ (all_0_184_184 = e21) & ~ (all_0_185_185 = e21) & ~ (all_0_198_198 = e21)) | ( ~ (all_0_184_184 = e20) & ~ (all_0_185_185 = e20) & ~ (all_0_198_198 = e20))
% 19.49/5.03 |
% 19.49/5.03 +-Applying beta-rule and splitting (1363), into two cases.
% 19.49/5.03 |-Branch one:
% 19.49/5.03 | (1364) ~ (all_0_64_64 = all_0_65_65)
% 19.49/5.03 |
% 19.49/5.03 | Equations (1033,1333) can reduce 1364 to:
% 19.49/5.03 | (709) $false
% 19.49/5.03 |
% 19.49/5.03 |-The branch is then unsatisfiable
% 19.49/5.03 |-Branch two:
% 19.49/5.03 | (1366) all_0_64_64 = all_0_65_65
% 19.49/5.03 | (1367) ~ (all_0_66_66 = all_0_67_67) | ~ (all_0_68_68 = all_0_184_184) | ~ (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_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_198_198) | ( ~ (all_0_184_184 = e24) & ~ (all_0_185_185 = e24) & ~ (all_0_198_198 = e24)) | ( ~ (all_0_184_184 = e21) & ~ (all_0_185_185 = e21) & ~ (all_0_198_198 = e21)) | ( ~ (all_0_184_184 = e20) & ~ (all_0_185_185 = e20) & ~ (all_0_198_198 = e20))
% 19.49/5.03 |
% 19.49/5.03 +-Applying beta-rule and splitting (1367), into two cases.
% 19.49/5.03 |-Branch one:
% 19.49/5.03 | (1368) ~ (all_0_66_66 = all_0_67_67)
% 19.49/5.03 |
% 19.49/5.03 | Equations (1026,1096) can reduce 1368 to:
% 19.49/5.03 | (709) $false
% 19.49/5.03 |
% 19.49/5.03 |-The branch is then unsatisfiable
% 19.49/5.03 |-Branch two:
% 19.49/5.03 | (1370) all_0_66_66 = all_0_67_67
% 19.49/5.03 | (1371) ~ (all_0_68_68 = all_0_184_184) | ~ (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_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_198_198) | ( ~ (all_0_184_184 = e24) & ~ (all_0_185_185 = e24) & ~ (all_0_198_198 = e24)) | ( ~ (all_0_184_184 = e21) & ~ (all_0_185_185 = e21) & ~ (all_0_198_198 = e21)) | ( ~ (all_0_184_184 = e20) & ~ (all_0_185_185 = e20) & ~ (all_0_198_198 = e20))
% 19.49/5.03 |
% 19.49/5.03 +-Applying beta-rule and splitting (1371), into two cases.
% 19.49/5.03 |-Branch one:
% 19.49/5.03 | (1372) ~ (all_0_68_68 = all_0_184_184)
% 19.49/5.03 |
% 19.49/5.03 | Equations (953,950) can reduce 1372 to:
% 19.49/5.03 | (709) $false
% 19.49/5.03 |
% 19.49/5.03 |-The branch is then unsatisfiable
% 19.49/5.03 |-Branch two:
% 19.49/5.03 | (674) all_0_68_68 = all_0_184_184
% 19.49/5.03 | (1375) ~ (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_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_198_198) | ( ~ (all_0_184_184 = e24) & ~ (all_0_185_185 = e24) & ~ (all_0_198_198 = e24)) | ( ~ (all_0_184_184 = e21) & ~ (all_0_185_185 = e21) & ~ (all_0_198_198 = e21)) | ( ~ (all_0_184_184 = e20) & ~ (all_0_185_185 = e20) & ~ (all_0_198_198 = e20))
% 19.49/5.03 |
% 19.49/5.03 | Combining equations (674,953) yields a new equation:
% 19.49/5.03 | (1376) all_0_184_184 = e21
% 19.49/5.03 |
% 19.49/5.03 | Simplifying 1376 yields:
% 19.49/5.03 | (950) all_0_184_184 = e21
% 19.49/5.03 |
% 19.49/5.03 +-Applying beta-rule and splitting (1375), into two cases.
% 19.49/5.03 |-Branch one:
% 19.49/5.03 | (1378) ~ (all_0_69_69 = all_0_70_70)
% 19.49/5.03 |
% 19.49/5.03 | Equations (1030,1097) can reduce 1378 to:
% 19.49/5.03 | (709) $false
% 19.49/5.03 |
% 19.49/5.03 |-The branch is then unsatisfiable
% 19.49/5.03 |-Branch two:
% 19.49/5.03 | (1380) all_0_69_69 = all_0_70_70
% 19.49/5.03 | (1381) ~ (all_0_71_71 = all_0_72_72) | ~ (all_0_73_73 = all_0_74_74) | ~ (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_198_198) | ( ~ (all_0_184_184 = e24) & ~ (all_0_185_185 = e24) & ~ (all_0_198_198 = e24)) | ( ~ (all_0_184_184 = e21) & ~ (all_0_185_185 = e21) & ~ (all_0_198_198 = e21)) | ( ~ (all_0_184_184 = e20) & ~ (all_0_185_185 = e20) & ~ (all_0_198_198 = e20))
% 19.49/5.03 |
% 19.49/5.03 +-Applying beta-rule and splitting (1381), into two cases.
% 19.49/5.03 |-Branch one:
% 19.49/5.03 | (1382) ~ (all_0_71_71 = all_0_72_72)
% 19.49/5.03 |
% 19.49/5.03 | Equations (1010,1095) can reduce 1382 to:
% 19.49/5.03 | (709) $false
% 19.49/5.03 |
% 19.49/5.03 |-The branch is then unsatisfiable
% 19.49/5.03 |-Branch two:
% 19.49/5.03 | (1384) all_0_71_71 = all_0_72_72
% 19.49/5.03 | (1385) ~ (all_0_73_73 = all_0_74_74) | ~ (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_198_198) | ( ~ (all_0_184_184 = e24) & ~ (all_0_185_185 = e24) & ~ (all_0_198_198 = e24)) | ( ~ (all_0_184_184 = e21) & ~ (all_0_185_185 = e21) & ~ (all_0_198_198 = e21)) | ( ~ (all_0_184_184 = e20) & ~ (all_0_185_185 = e20) & ~ (all_0_198_198 = e20))
% 19.49/5.03 |
% 19.49/5.03 +-Applying beta-rule and splitting (1385), into two cases.
% 19.49/5.03 |-Branch one:
% 19.49/5.03 | (1386) ~ (all_0_73_73 = all_0_74_74)
% 19.49/5.03 |
% 19.49/5.03 | Equations (917,1284) can reduce 1386 to:
% 19.49/5.03 | (709) $false
% 19.49/5.03 |
% 19.49/5.03 |-The branch is then unsatisfiable
% 19.49/5.03 |-Branch two:
% 19.49/5.03 | (1388) all_0_73_73 = all_0_74_74
% 19.49/5.03 | (1389) ~ (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_198_198) | ( ~ (all_0_184_184 = e24) & ~ (all_0_185_185 = e24) & ~ (all_0_198_198 = e24)) | ( ~ (all_0_184_184 = e21) & ~ (all_0_185_185 = e21) & ~ (all_0_198_198 = e21)) | ( ~ (all_0_184_184 = e20) & ~ (all_0_185_185 = e20) & ~ (all_0_198_198 = e20))
% 19.49/5.03 |
% 19.49/5.03 +-Applying beta-rule and splitting (1389), into two cases.
% 19.49/5.03 |-Branch one:
% 19.49/5.03 | (1390) ~ (all_0_76_76 = all_0_77_77)
% 19.49/5.03 |
% 19.49/5.03 | Equations (1044,1339) can reduce 1390 to:
% 19.49/5.03 | (709) $false
% 19.49/5.03 |
% 19.49/5.03 |-The branch is then unsatisfiable
% 19.49/5.03 |-Branch two:
% 19.49/5.03 | (1392) all_0_76_76 = all_0_77_77
% 19.49/5.03 | (1393) ~ (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_198_198) | ( ~ (all_0_184_184 = e24) & ~ (all_0_185_185 = e24) & ~ (all_0_198_198 = e24)) | ( ~ (all_0_184_184 = e21) & ~ (all_0_185_185 = e21) & ~ (all_0_198_198 = e21)) | ( ~ (all_0_184_184 = e20) & ~ (all_0_185_185 = e20) & ~ (all_0_198_198 = e20))
% 19.49/5.03 |
% 19.49/5.03 +-Applying beta-rule and splitting (1393), into two cases.
% 19.49/5.03 |-Branch one:
% 19.49/5.03 | (1394) ~ (all_0_78_78 = all_0_79_79)
% 19.49/5.03 |
% 19.49/5.03 | Equations (1042,1335) can reduce 1394 to:
% 19.49/5.03 | (709) $false
% 19.49/5.03 |
% 19.49/5.03 |-The branch is then unsatisfiable
% 19.49/5.03 |-Branch two:
% 19.49/5.03 | (1396) all_0_78_78 = all_0_79_79
% 19.49/5.03 | (1397) ~ (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_198_198) | ( ~ (all_0_184_184 = e24) & ~ (all_0_185_185 = e24) & ~ (all_0_198_198 = e24)) | ( ~ (all_0_184_184 = e21) & ~ (all_0_185_185 = e21) & ~ (all_0_198_198 = e21)) | ( ~ (all_0_184_184 = e20) & ~ (all_0_185_185 = e20) & ~ (all_0_198_198 = e20))
% 19.49/5.03 |
% 19.49/5.03 +-Applying beta-rule and splitting (1397), into two cases.
% 19.49/5.03 |-Branch one:
% 19.49/5.03 | (1398) ~ (all_0_80_80 = all_0_81_81)
% 19.49/5.03 |
% 19.49/5.03 | Equations (1038,1282) can reduce 1398 to:
% 19.49/5.03 | (709) $false
% 19.49/5.03 |
% 19.49/5.03 |-The branch is then unsatisfiable
% 19.49/5.03 |-Branch two:
% 19.49/5.03 | (1400) all_0_80_80 = all_0_81_81
% 19.49/5.03 | (1401) ~ (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_198_198) | ( ~ (all_0_184_184 = e24) & ~ (all_0_185_185 = e24) & ~ (all_0_198_198 = e24)) | ( ~ (all_0_184_184 = e21) & ~ (all_0_185_185 = e21) & ~ (all_0_198_198 = e21)) | ( ~ (all_0_184_184 = e20) & ~ (all_0_185_185 = e20) & ~ (all_0_198_198 = e20))
% 19.49/5.03 |
% 19.49/5.03 +-Applying beta-rule and splitting (1401), into two cases.
% 19.49/5.03 |-Branch one:
% 19.49/5.03 | (1402) ~ (all_0_82_82 = all_0_83_83)
% 19.49/5.03 |
% 19.49/5.03 | Equations (1035,1340) can reduce 1402 to:
% 19.49/5.03 | (709) $false
% 19.49/5.03 |
% 19.49/5.03 |-The branch is then unsatisfiable
% 19.49/5.03 |-Branch two:
% 19.49/5.03 | (1404) all_0_82_82 = all_0_83_83
% 19.49/5.03 | (1405) ~ (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_198_198) | ( ~ (all_0_184_184 = e24) & ~ (all_0_185_185 = e24) & ~ (all_0_198_198 = e24)) | ( ~ (all_0_184_184 = e21) & ~ (all_0_185_185 = e21) & ~ (all_0_198_198 = e21)) | ( ~ (all_0_184_184 = e20) & ~ (all_0_185_185 = e20) & ~ (all_0_198_198 = e20))
% 19.49/5.03 |
% 19.49/5.03 +-Applying beta-rule and splitting (1405), into two cases.
% 19.49/5.03 |-Branch one:
% 19.49/5.03 | (1406) ~ (all_0_84_84 = all_0_85_85)
% 19.49/5.03 |
% 19.49/5.03 | Equations (1041,1200) can reduce 1406 to:
% 19.49/5.03 | (709) $false
% 19.49/5.03 |
% 19.49/5.03 |-The branch is then unsatisfiable
% 19.49/5.03 |-Branch two:
% 19.49/5.03 | (1408) all_0_84_84 = all_0_85_85
% 19.49/5.03 | (1409) ~ (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_198_198) | ( ~ (all_0_184_184 = e24) & ~ (all_0_185_185 = e24) & ~ (all_0_198_198 = e24)) | ( ~ (all_0_184_184 = e21) & ~ (all_0_185_185 = e21) & ~ (all_0_198_198 = e21)) | ( ~ (all_0_184_184 = e20) & ~ (all_0_185_185 = e20) & ~ (all_0_198_198 = e20))
% 19.49/5.03 |
% 19.49/5.03 +-Applying beta-rule and splitting (1409), into two cases.
% 19.49/5.03 |-Branch one:
% 19.49/5.03 | (1410) ~ (all_0_86_86 = all_0_87_87)
% 19.49/5.04 |
% 19.49/5.04 | Equations (1050,1342) can reduce 1410 to:
% 19.49/5.04 | (709) $false
% 19.49/5.04 |
% 19.49/5.04 |-The branch is then unsatisfiable
% 19.49/5.04 |-Branch two:
% 19.49/5.04 | (1412) all_0_86_86 = all_0_87_87
% 19.49/5.04 | (1413) ~ (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_198_198) | ( ~ (all_0_184_184 = e24) & ~ (all_0_185_185 = e24) & ~ (all_0_198_198 = e24)) | ( ~ (all_0_184_184 = e21) & ~ (all_0_185_185 = e21) & ~ (all_0_198_198 = e21)) | ( ~ (all_0_184_184 = e20) & ~ (all_0_185_185 = e20) & ~ (all_0_198_198 = e20))
% 19.49/5.04 |
% 19.49/5.04 +-Applying beta-rule and splitting (1413), into two cases.
% 19.49/5.04 |-Branch one:
% 19.49/5.04 | (1414) ~ (all_0_88_88 = all_0_89_89)
% 19.49/5.04 |
% 19.49/5.04 | Equations (1036,1341) can reduce 1414 to:
% 19.49/5.04 | (709) $false
% 19.49/5.04 |
% 19.49/5.04 |-The branch is then unsatisfiable
% 19.49/5.04 |-Branch two:
% 19.49/5.04 | (1416) all_0_88_88 = all_0_89_89
% 19.49/5.04 | (1417) ~ (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_198_198) | ( ~ (all_0_184_184 = e24) & ~ (all_0_185_185 = e24) & ~ (all_0_198_198 = e24)) | ( ~ (all_0_184_184 = e21) & ~ (all_0_185_185 = e21) & ~ (all_0_198_198 = e21)) | ( ~ (all_0_184_184 = e20) & ~ (all_0_185_185 = e20) & ~ (all_0_198_198 = e20))
% 19.49/5.04 |
% 19.49/5.04 +-Applying beta-rule and splitting (1417), into two cases.
% 19.49/5.04 |-Branch one:
% 19.49/5.04 | (1418) ~ (all_0_90_90 = all_0_91_91)
% 19.49/5.04 |
% 19.49/5.04 | Equations (1005,1283) can reduce 1418 to:
% 19.49/5.04 | (709) $false
% 19.49/5.04 |
% 19.49/5.04 |-The branch is then unsatisfiable
% 19.49/5.04 |-Branch two:
% 19.49/5.04 | (1420) all_0_90_90 = all_0_91_91
% 19.49/5.04 | (1421) ~ (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_198_198) | ( ~ (all_0_184_184 = e24) & ~ (all_0_185_185 = e24) & ~ (all_0_198_198 = e24)) | ( ~ (all_0_184_184 = e21) & ~ (all_0_185_185 = e21) & ~ (all_0_198_198 = e21)) | ( ~ (all_0_184_184 = e20) & ~ (all_0_185_185 = e20) & ~ (all_0_198_198 = e20))
% 19.49/5.04 |
% 19.49/5.04 +-Applying beta-rule and splitting (1421), into two cases.
% 19.49/5.04 |-Branch one:
% 19.49/5.04 | (1422) ~ (all_0_92_92 = all_0_93_93)
% 19.49/5.04 |
% 19.49/5.04 | Equations (1002,1286) can reduce 1422 to:
% 19.49/5.04 | (709) $false
% 19.49/5.04 |
% 19.49/5.04 |-The branch is then unsatisfiable
% 19.49/5.04 |-Branch two:
% 19.49/5.04 | (1424) all_0_92_92 = all_0_93_93
% 19.49/5.04 | (1425) ~ (all_0_94_94 = all_0_95_95) | ~ (all_0_96_96 = all_0_97_97) | ~ (all_0_98_98 = all_0_198_198) | ( ~ (all_0_184_184 = e24) & ~ (all_0_185_185 = e24) & ~ (all_0_198_198 = e24)) | ( ~ (all_0_184_184 = e21) & ~ (all_0_185_185 = e21) & ~ (all_0_198_198 = e21)) | ( ~ (all_0_184_184 = e20) & ~ (all_0_185_185 = e20) & ~ (all_0_198_198 = e20))
% 19.49/5.04 |
% 19.49/5.04 +-Applying beta-rule and splitting (1425), into two cases.
% 19.49/5.04 |-Branch one:
% 19.49/5.04 | (1426) ~ (all_0_94_94 = all_0_95_95)
% 19.49/5.04 |
% 19.49/5.04 | Equations (1032,1201) can reduce 1426 to:
% 19.49/5.04 | (709) $false
% 19.49/5.04 |
% 19.49/5.04 |-The branch is then unsatisfiable
% 19.49/5.04 |-Branch two:
% 19.49/5.04 | (1428) all_0_94_94 = all_0_95_95
% 19.49/5.04 | (1429) ~ (all_0_96_96 = all_0_97_97) | ~ (all_0_98_98 = all_0_198_198) | ( ~ (all_0_184_184 = e24) & ~ (all_0_185_185 = e24) & ~ (all_0_198_198 = e24)) | ( ~ (all_0_184_184 = e21) & ~ (all_0_185_185 = e21) & ~ (all_0_198_198 = e21)) | ( ~ (all_0_184_184 = e20) & ~ (all_0_185_185 = e20) & ~ (all_0_198_198 = e20))
% 19.49/5.04 |
% 19.49/5.04 +-Applying beta-rule and splitting (1429), into two cases.
% 19.49/5.04 |-Branch one:
% 19.49/5.04 | (1430) ~ (all_0_96_96 = all_0_97_97)
% 19.49/5.04 |
% 19.49/5.04 | Equations (1031,1288) can reduce 1430 to:
% 19.49/5.04 | (709) $false
% 19.49/5.04 |
% 19.49/5.04 |-The branch is then unsatisfiable
% 19.49/5.04 |-Branch two:
% 19.49/5.04 | (1432) all_0_96_96 = all_0_97_97
% 19.49/5.04 | (1433) ~ (all_0_98_98 = all_0_198_198) | ( ~ (all_0_184_184 = e24) & ~ (all_0_185_185 = e24) & ~ (all_0_198_198 = e24)) | ( ~ (all_0_184_184 = e21) & ~ (all_0_185_185 = e21) & ~ (all_0_198_198 = e21)) | ( ~ (all_0_184_184 = e20) & ~ (all_0_185_185 = e20) & ~ (all_0_198_198 = e20))
% 19.49/5.04 |
% 19.49/5.04 +-Applying beta-rule and splitting (1433), into two cases.
% 19.49/5.04 |-Branch one:
% 19.49/5.04 | (1434) ~ (all_0_98_98 = all_0_198_198)
% 19.49/5.04 |
% 19.49/5.04 | Equations (999,842) can reduce 1434 to:
% 19.49/5.04 | (709) $false
% 19.49/5.04 |
% 19.49/5.04 |-The branch is then unsatisfiable
% 19.49/5.04 |-Branch two:
% 19.49/5.04 | (1436) all_0_98_98 = all_0_198_198
% 19.49/5.04 | (1437) ( ~ (all_0_184_184 = e24) & ~ (all_0_185_185 = e24) & ~ (all_0_198_198 = e24)) | ( ~ (all_0_184_184 = e21) & ~ (all_0_185_185 = e21) & ~ (all_0_198_198 = e21)) | ( ~ (all_0_184_184 = e20) & ~ (all_0_185_185 = e20) & ~ (all_0_198_198 = e20))
% 19.49/5.04 |
% 19.49/5.04 | Combining equations (999,1436) yields a new equation:
% 19.49/5.04 | (842) all_0_198_198 = e20
% 19.49/5.04 |
% 19.49/5.04 +-Applying beta-rule and splitting (1437), into two cases.
% 19.49/5.04 |-Branch one:
% 19.49/5.04 | (1439) ( ~ (all_0_184_184 = e24) & ~ (all_0_185_185 = e24) & ~ (all_0_198_198 = e24)) | ( ~ (all_0_184_184 = e21) & ~ (all_0_185_185 = e21) & ~ (all_0_198_198 = e21))
% 19.49/5.04 |
% 19.49/5.04 +-Applying beta-rule and splitting (1439), into two cases.
% 19.49/5.04 |-Branch one:
% 19.49/5.04 | (1440) ~ (all_0_184_184 = e24) & ~ (all_0_185_185 = e24) & ~ (all_0_198_198 = e24)
% 19.49/5.04 |
% 19.49/5.04 | Applying alpha-rule on (1440) yields:
% 19.49/5.04 | (1441) ~ (all_0_184_184 = e24)
% 19.49/5.04 | (1442) ~ (all_0_185_185 = e24)
% 19.49/5.04 | (769) ~ (all_0_198_198 = e24)
% 19.49/5.04 |
% 19.49/5.04 | Equations (938) can reduce 1442 to:
% 19.49/5.04 | (709) $false
% 19.49/5.04 |
% 19.49/5.04 |-The branch is then unsatisfiable
% 19.49/5.04 |-Branch two:
% 19.49/5.04 | (1445) ~ (all_0_184_184 = e21) & ~ (all_0_185_185 = e21) & ~ (all_0_198_198 = e21)
% 19.49/5.04 |
% 19.49/5.04 | Applying alpha-rule on (1445) yields:
% 19.49/5.04 | (1446) ~ (all_0_184_184 = e21)
% 19.49/5.04 | (1447) ~ (all_0_185_185 = e21)
% 19.49/5.04 | (806) ~ (all_0_198_198 = e21)
% 19.49/5.04 |
% 19.49/5.04 | Equations (950) can reduce 1446 to:
% 19.49/5.04 | (709) $false
% 19.49/5.04 |
% 19.49/5.04 |-The branch is then unsatisfiable
% 19.49/5.04 |-Branch two:
% 19.49/5.04 | (1450) ~ (all_0_184_184 = e20) & ~ (all_0_185_185 = e20) & ~ (all_0_198_198 = e20)
% 19.49/5.04 |
% 19.49/5.04 | Applying alpha-rule on (1450) yields:
% 19.49/5.04 | (1451) ~ (all_0_184_184 = e20)
% 19.49/5.04 | (1452) ~ (all_0_185_185 = e20)
% 19.49/5.04 | (1453) ~ (all_0_198_198 = e20)
% 19.49/5.04 |
% 19.49/5.04 | Equations (842) can reduce 1453 to:
% 19.49/5.04 | (709) $false
% 19.49/5.04 |
% 19.49/5.04 |-The branch is then unsatisfiable
% 19.49/5.04 |-Branch two:
% 19.49/5.04 | (1455) ~ (all_0_212_212 = e13)
% 19.49/5.04 | (1456) all_0_214_214 = e13 | all_0_223_223 = e13 | all_0_228_228 = e13
% 19.49/5.04 |
% 19.49/5.04 +-Applying beta-rule and splitting (1315), into two cases.
% 19.49/5.04 |-Branch one:
% 19.49/5.04 | (1213) all_0_212_212 = e12
% 19.49/5.04 |
% 19.49/5.04 | Equations (1213) can reduce 1087 to:
% 19.49/5.04 | (709) $false
% 19.49/5.04 |
% 19.49/5.04 |-The branch is then unsatisfiable
% 19.49/5.04 |-Branch two:
% 19.49/5.04 | (1087) ~ (all_0_212_212 = e12)
% 19.49/5.04 | (1460) all_0_212_212 = e14 | all_0_212_212 = e13
% 19.49/5.04 |
% 19.49/5.04 +-Applying beta-rule and splitting (1460), into two cases.
% 19.49/5.04 |-Branch one:
% 19.49/5.04 | (1329) all_0_212_212 = e13
% 19.49/5.04 |
% 19.49/5.04 | Equations (1329) can reduce 1455 to:
% 19.49/5.04 | (709) $false
% 19.49/5.04 |
% 19.49/5.04 |-The branch is then unsatisfiable
% 19.49/5.04 |-Branch two:
% 19.49/5.04 | (1455) ~ (all_0_212_212 = e13)
% 19.49/5.04 | (1464) all_0_212_212 = e14
% 19.49/5.04 |
% 19.49/5.04 | Equations (1464) can reduce 1289 to:
% 19.49/5.04 | (709) $false
% 19.49/5.04 |
% 19.49/5.04 |-The branch is then unsatisfiable
% 19.49/5.04 |-Branch two:
% 19.49/5.04 | (1115) ~ (all_0_219_219 = e11)
% 19.49/5.04 | (1467) all_0_219_219 = e12 | all_0_219_219 = e10
% 19.49/5.04 |
% 19.49/5.04 +-Applying beta-rule and splitting (1467), into two cases.
% 19.49/5.04 |-Branch one:
% 19.49/5.04 | (1242) all_0_219_219 = e12
% 19.49/5.04 |
% 19.49/5.04 | Equations (1242) can reduce 1089 to:
% 19.49/5.04 | (709) $false
% 19.49/5.04 |
% 19.49/5.04 |-The branch is then unsatisfiable
% 19.49/5.04 |-Branch two:
% 19.49/5.04 | (1089) ~ (all_0_219_219 = e12)
% 19.49/5.04 | (1121) all_0_219_219 = e10
% 19.49/5.04 |
% 19.49/5.04 | Equations (1121) can reduce 1291 to:
% 19.49/5.04 | (709) $false
% 19.49/5.04 |
% 19.49/5.04 |-The branch is then unsatisfiable
% 19.49/5.04 |-Branch two:
% 19.49/5.04 | (1473) ~ (all_0_223_223 = e11)
% 19.49/5.04 | (1474) all_0_223_223 = e14 | all_0_223_223 = e13 | all_0_223_223 = e12 | all_0_223_223 = e10
% 19.49/5.04 |
% 19.49/5.04 +-Applying beta-rule and splitting (74), into two cases.
% 19.49/5.04 |-Branch one:
% 19.49/5.04 | (1161) all_0_219_219 = e11
% 19.49/5.04 |
% 19.49/5.04 | Equations (1161) can reduce 324 to:
% 19.49/5.04 | (1476) ~ (e14 = e11)
% 19.49/5.04 |
% 19.49/5.04 | Simplifying 1476 yields:
% 19.49/5.04 | (661) ~ (e14 = e11)
% 19.49/5.04 |
% 19.49/5.04 | Equations (1161) can reduce 409 to:
% 19.49/5.04 | (1478) ~ (e13 = e11)
% 19.49/5.04 |
% 19.49/5.04 | Simplifying 1478 yields:
% 19.49/5.04 | (374) ~ (e13 = e11)
% 19.49/5.04 |
% 19.49/5.04 | Equations (1161) can reduce 1089 to:
% 19.49/5.04 | (1480) ~ (e12 = e11)
% 19.49/5.04 |
% 19.49/5.04 | Simplifying 1480 yields:
% 19.49/5.04 | (381) ~ (e12 = e11)
% 19.49/5.04 |
% 19.49/5.04 +-Applying beta-rule and splitting (396), into two cases.
% 19.49/5.04 |-Branch one:
% 19.49/5.04 | (1312) all_0_212_212 = e11
% 19.49/5.04 |
% 19.49/5.04 | Equations (1312) can reduce 1054 to:
% 19.49/5.04 | (709) $false
% 19.49/5.04 |
% 19.49/5.04 |-The branch is then unsatisfiable
% 19.49/5.04 |-Branch two:
% 19.49/5.04 | (1054) ~ (all_0_212_212 = e11)
% 19.49/5.05 | (1485) all_0_218_218 = e11 | all_0_223_223 = e11 | all_0_228_228 = e11
% 19.49/5.05 |
% 19.49/5.05 +-Applying beta-rule and splitting (363), into two cases.
% 19.49/5.05 |-Branch one:
% 19.49/5.05 | (1486) all_0_221_221 = e11
% 19.49/5.05 |
% 19.49/5.05 | Combining equations (1281,1486) yields a new equation:
% 19.49/5.05 | (1487) e13 = e11
% 19.49/5.05 |
% 19.49/5.05 | Simplifying 1487 yields:
% 19.49/5.05 | (1231) e13 = e11
% 19.49/5.05 |
% 19.49/5.05 | Equations (1231) can reduce 374 to:
% 19.49/5.05 | (709) $false
% 19.49/5.05 |
% 19.49/5.05 |-The branch is then unsatisfiable
% 19.49/5.05 |-Branch two:
% 19.49/5.05 | (1490) ~ (all_0_221_221 = e11)
% 19.49/5.05 | (1491) all_0_222_222 = e11 | all_0_223_223 = e11 | all_0_224_224 = e11
% 19.49/5.05 |
% 19.49/5.05 +-Applying beta-rule and splitting (1491), into two cases.
% 19.49/5.05 |-Branch one:
% 19.49/5.05 | (1191) all_0_222_222 = e11
% 19.49/5.05 |
% 19.49/5.05 | Combining equations (1195,1191) yields a new equation:
% 19.49/5.05 | (1232) e12 = e11
% 19.49/5.05 |
% 19.49/5.05 | Simplifying 1232 yields:
% 19.49/5.05 | (1233) e12 = e11
% 19.49/5.05 |
% 19.49/5.05 | Equations (1233) can reduce 381 to:
% 19.49/5.05 | (709) $false
% 19.49/5.05 |
% 19.49/5.05 |-The branch is then unsatisfiable
% 19.49/5.05 |-Branch two:
% 19.49/5.05 | (1058) ~ (all_0_222_222 = e11)
% 19.49/5.05 | (1497) all_0_223_223 = e11 | all_0_224_224 = e11
% 19.49/5.05 |
% 19.49/5.05 | Equations (1195) can reduce 1058 to:
% 19.49/5.05 | (381) ~ (e12 = e11)
% 19.49/5.05 |
% 19.49/5.05 +-Applying beta-rule and splitting (1485), into two cases.
% 19.49/5.05 |-Branch one:
% 19.49/5.05 | (1158) all_0_218_218 = e11
% 19.49/5.05 |
% 19.49/5.05 | Combining equations (1158,1280) yields a new equation:
% 19.49/5.05 | (1228) e14 = e11
% 19.49/5.05 |
% 19.49/5.05 | Equations (1228) can reduce 661 to:
% 19.49/5.05 | (709) $false
% 19.49/5.05 |
% 19.49/5.05 |-The branch is then unsatisfiable
% 19.49/5.05 |-Branch two:
% 19.49/5.05 | (1138) ~ (all_0_218_218 = e11)
% 19.49/5.05 | (1503) all_0_223_223 = e11 | all_0_228_228 = e11
% 19.49/5.05 |
% 19.49/5.05 +-Applying beta-rule and splitting (1503), into two cases.
% 19.49/5.05 |-Branch one:
% 19.49/5.05 | (1148) all_0_223_223 = e11
% 19.49/5.05 |
% 19.49/5.05 | Equations (1148) can reduce 1473 to:
% 19.49/5.05 | (709) $false
% 19.49/5.05 |
% 19.49/5.05 |-The branch is then unsatisfiable
% 19.49/5.05 |-Branch two:
% 19.49/5.05 | (1473) ~ (all_0_223_223 = e11)
% 19.49/5.05 | (1137) all_0_228_228 = e11
% 19.49/5.05 |
% 19.49/5.05 | Combining equations (1137,1261) yields a new equation:
% 19.49/5.05 | (1233) e12 = e11
% 19.49/5.05 |
% 19.49/5.05 | Equations (1233) can reduce 381 to:
% 19.49/5.05 | (709) $false
% 19.49/5.05 |
% 19.49/5.05 |-The branch is then unsatisfiable
% 19.49/5.05 |-Branch two:
% 19.49/5.05 | (1115) ~ (all_0_219_219 = e11)
% 19.49/5.05 | (1467) all_0_219_219 = e12 | all_0_219_219 = e10
% 19.49/5.05 |
% 19.49/5.05 +-Applying beta-rule and splitting (1467), into two cases.
% 19.49/5.05 |-Branch one:
% 19.49/5.05 | (1242) all_0_219_219 = e12
% 19.49/5.05 |
% 19.49/5.05 | Equations (1242) can reduce 1089 to:
% 19.49/5.05 | (709) $false
% 19.49/5.05 |
% 19.49/5.05 |-The branch is then unsatisfiable
% 19.49/5.05 |-Branch two:
% 19.49/5.05 | (1089) ~ (all_0_219_219 = e12)
% 19.49/5.05 | (1121) all_0_219_219 = e10
% 19.49/5.05 |
% 19.49/5.05 | Equations (1121) can reduce 1291 to:
% 19.49/5.05 | (709) $false
% 19.49/5.05 |
% 19.49/5.05 |-The branch is then unsatisfiable
% 19.49/5.05 |-Branch two:
% 19.49/5.05 | (1517) ~ (all_0_210_210 = e14)
% 19.49/5.05 | (1464) all_0_212_212 = e14
% 19.49/5.05 |
% 19.49/5.05 | Equations (1464) can reduce 1289 to:
% 19.49/5.05 | (709) $false
% 19.49/5.05 |
% 19.49/5.05 |-The branch is then unsatisfiable
% 19.49/5.05 |-Branch two:
% 19.49/5.05 | (1205) ~ (all_0_216_216 = e12)
% 19.49/5.05 | (1521) all_0_220_220 = e12 | all_0_225_225 = e12
% 19.49/5.05 |
% 19.49/5.05 +-Applying beta-rule and splitting (1521), into two cases.
% 19.49/5.05 |-Branch one:
% 19.49/5.05 | (1522) all_0_220_220 = e12
% 19.49/5.05 |
% 19.49/5.05 | Equations (1522) can reduce 1196 to:
% 19.49/5.05 | (709) $false
% 19.49/5.05 |
% 19.49/5.05 |-The branch is then unsatisfiable
% 19.49/5.05 |-Branch two:
% 19.49/5.05 | (1196) ~ (all_0_220_220 = e12)
% 19.49/5.05 | (1204) all_0_225_225 = e12
% 19.49/5.05 |
% 19.49/5.05 | Combining equations (1204,1245) yields a new equation:
% 19.49/5.05 | (1230) e13 = e12
% 19.49/5.05 |
% 19.49/5.05 | Equations (1230) can reduce 584 to:
% 19.49/5.05 | (709) $false
% 19.49/5.05 |
% 19.49/5.05 |-The branch is then unsatisfiable
% 19.49/5.05 |-Branch two:
% 19.49/5.05 | (1528) ~ (all_0_228_228 = e12)
% 19.49/5.05 | (1529) all_0_228_228 = e13 | all_0_228_228 = e10
% 19.49/5.05 |
% 19.49/5.05 +-Applying beta-rule and splitting (1529), into two cases.
% 19.49/5.05 |-Branch one:
% 19.49/5.05 | (1530) all_0_228_228 = e13
% 19.49/5.05 |
% 19.49/5.05 | Equations (1530) can reduce 1249 to:
% 19.49/5.05 | (709) $false
% 19.49/5.05 |
% 19.49/5.05 |-The branch is then unsatisfiable
% 19.49/5.05 |-Branch two:
% 19.49/5.05 | (1249) ~ (all_0_228_228 = e13)
% 19.49/5.05 | (1180) all_0_228_228 = e10
% 19.49/5.05 |
% 19.49/5.05 | Equations (1180) can reduce 1072 to:
% 19.49/5.05 | (709) $false
% 19.49/5.05 |
% 19.49/5.05 |-The branch is then unsatisfiable
% 19.49/5.05 |-Branch two:
% 19.49/5.05 | (1128) ~ (all_0_226_226 = e11)
% 19.49/5.05 | (1536) all_0_226_226 = e13 | all_0_226_226 = e10
% 19.49/5.05 |
% 19.49/5.05 +-Applying beta-rule and splitting (1536), into two cases.
% 19.49/5.05 |-Branch one:
% 19.49/5.05 | (1537) all_0_226_226 = e13
% 19.49/5.05 |
% 19.49/5.05 | Equations (1537) can reduce 1247 to:
% 19.49/5.05 | (709) $false
% 19.49/5.05 |
% 19.49/5.05 |-The branch is then unsatisfiable
% 19.49/5.05 |-Branch two:
% 19.49/5.05 | (1247) ~ (all_0_226_226 = e13)
% 19.49/5.05 | (1106) all_0_226_226 = e10
% 19.49/5.05 |
% 19.49/5.05 | Equations (1106) can reduce 1175 to:
% 19.49/5.05 | (709) $false
% 19.49/5.05 |
% 19.49/5.05 |-The branch is then unsatisfiable
% 19.49/5.05 |-Branch two:
% 19.49/5.05 | (1542) ~ (all_0_222_222 = e12)
% 19.49/5.05 | (1101) all_0_222_222 = e10
% 19.49/5.05 |
% 19.49/5.05 | Equations (1101) can reduce 1182 to:
% 19.49/5.05 | (709) $false
% 19.49/5.05 |
% 19.49/5.05 |-The branch is then unsatisfiable
% 19.49/5.05 |-Branch two:
% 19.49/5.05 | (1545) ~ (all_0_213_213 = e12)
% 19.49/5.05 | (1546) all_0_213_213 = e13
% 19.49/5.05 |
% 19.49/5.05 | Equations (1546) can reduce 1075 to:
% 19.49/5.05 | (709) $false
% 19.49/5.05 |
% 19.49/5.05 |-The branch is then unsatisfiable
% 19.49/5.05 |-Branch two:
% 19.49/5.05 | (1548) ~ (all_0_215_215 = e13)
% 19.49/5.05 | (1316) all_0_215_215 = e10
% 19.49/5.05 |
% 19.49/5.05 | Equations (1316) can reduce 1068 to:
% 19.49/5.05 | (709) $false
% 19.49/5.05 |
% 19.49/5.05 |-The branch is then unsatisfiable
% 19.49/5.05 |-Branch two:
% 19.49/5.05 | (1551) ~ (all_0_214_214 = e10)
% 19.49/5.05 | (1316) all_0_215_215 = e10
% 19.49/5.05 |
% 19.49/5.05 | Equations (1316) can reduce 361 to:
% 19.49/5.05 | (1290) ~ (all_0_219_219 = e10)
% 19.49/5.05 |
% 19.49/5.05 | Simplifying 1290 yields:
% 19.49/5.05 | (1291) ~ (all_0_219_219 = e10)
% 19.49/5.05 |
% 19.49/5.05 | Equations (1316) can reduce 292 to:
% 19.49/5.05 | (1102) ~ (all_0_224_224 = e10)
% 19.49/5.05 |
% 19.49/5.05 | Simplifying 1102 yields:
% 19.49/5.05 | (1103) ~ (all_0_224_224 = e10)
% 19.49/5.05 |
% 19.49/5.05 | From (1316) and (261) follows:
% 19.49/5.05 | (1557) op1(all_0_226_226, e10) = e13
% 19.49/5.05 |
% 19.49/5.05 +-Applying beta-rule and splitting (3), into two cases.
% 19.49/5.05 |-Branch one:
% 19.49/5.05 | (1558) all_0_214_214 = e13
% 19.49/5.05 |
% 19.49/5.05 | Equations (1558) can reduce 529 to:
% 19.49/5.05 | (1455) ~ (all_0_212_212 = e13)
% 19.49/5.05 |
% 19.49/5.05 | Equations (1558) can reduce 197 to:
% 19.49/5.05 | (1560) ~ (all_0_218_218 = e13)
% 19.49/5.05 |
% 19.49/5.05 | Simplifying 1560 yields:
% 19.49/5.05 | (132) ~ (all_0_218_218 = e13)
% 19.49/5.05 |
% 19.49/5.05 | Equations (1558) can reduce 405 to:
% 19.49/5.05 | (1248) ~ (all_0_228_228 = e13)
% 19.49/5.05 |
% 19.49/5.05 | Simplifying 1248 yields:
% 19.49/5.05 | (1249) ~ (all_0_228_228 = e13)
% 19.49/5.05 |
% 19.49/5.05 | Equations (1558) can reduce 207 to:
% 19.49/5.05 | (584) ~ (e13 = e12)
% 19.49/5.05 |
% 19.49/5.05 | From (1558) and (65) follows:
% 19.49/5.06 | (1565) op1(e13, all_0_221_221) = e11
% 19.49/5.06 |
% 19.49/5.06 +-Applying beta-rule and splitting (90), into two cases.
% 19.49/5.06 |-Branch one:
% 19.49/5.06 | (1566) all_0_220_220 = e13
% 19.49/5.06 |
% 19.49/5.06 | Equations (1566) can reduce 501 to:
% 19.49/5.06 | (1567) ~ (all_0_222_222 = e13)
% 19.49/5.06 |
% 19.49/5.06 | Simplifying 1567 yields:
% 19.49/5.06 | (633) ~ (all_0_222_222 = e13)
% 19.49/5.06 |
% 19.49/5.06 | Equations (1566) can reduce 459 to:
% 19.49/5.06 | (1078) ~ (all_0_224_224 = e13)
% 19.49/5.06 |
% 19.49/5.06 | Simplifying 1078 yields:
% 19.49/5.06 | (1079) ~ (all_0_224_224 = e13)
% 19.49/5.06 |
% 19.49/5.06 | Equations (1566) can reduce 620 to:
% 19.49/5.06 | (1571) ~ (all_0_225_225 = e13)
% 19.49/5.06 |
% 19.49/5.06 | Simplifying 1571 yields:
% 19.49/5.06 | (1572) ~ (all_0_225_225 = e13)
% 19.49/5.06 |
% 19.49/5.06 +-Applying beta-rule and splitting (131), into two cases.
% 19.49/5.06 |-Branch one:
% 19.49/5.06 | (1204) all_0_225_225 = e12
% 19.49/5.06 |
% 19.49/5.06 | Equations (1204) can reduce 419 to:
% 19.49/5.06 | (1205) ~ (all_0_216_216 = e12)
% 19.49/5.06 |
% 19.49/5.06 | Equations (1204) can reduce 393 to:
% 19.49/5.06 | (1575) ~ (all_0_227_227 = e12)
% 19.49/5.06 |
% 19.49/5.06 | Simplifying 1575 yields:
% 19.49/5.06 | (1576) ~ (all_0_227_227 = e12)
% 19.49/5.06 |
% 19.49/5.06 | Equations (1204) can reduce 333 to:
% 19.49/5.06 | (381) ~ (e12 = e11)
% 19.49/5.06 |
% 19.49/5.06 | Equations (1204) can reduce 432 to:
% 19.49/5.06 | (140) ~ (e12 = e10)
% 19.49/5.06 |
% 19.49/5.06 +-Applying beta-rule and splitting (122), into two cases.
% 19.49/5.06 |-Branch one:
% 19.49/5.06 | (1579) all_0_211_211 = e12
% 19.49/5.06 |
% 19.49/5.06 | Combining equations (1579,1051) yields a new equation:
% 19.49/5.06 | (1232) e12 = e11
% 19.49/5.06 |
% 19.49/5.06 | Simplifying 1232 yields:
% 19.49/5.06 | (1233) e12 = e11
% 19.49/5.06 |
% 19.49/5.06 | Equations (1233) can reduce 381 to:
% 19.49/5.06 | (709) $false
% 19.49/5.06 |
% 19.49/5.06 |-The branch is then unsatisfiable
% 19.49/5.06 |-Branch two:
% 19.49/5.06 | (1583) ~ (all_0_211_211 = e12)
% 19.49/5.06 | (1584) all_0_222_222 = e12 | all_0_227_227 = e12
% 19.49/5.06 |
% 19.49/5.06 +-Applying beta-rule and splitting (67), into two cases.
% 19.49/5.06 |-Branch one:
% 19.49/5.06 | (1208) all_0_216_216 = e12
% 19.49/5.06 |
% 19.49/5.06 | Equations (1208) can reduce 1205 to:
% 19.49/5.06 | (709) $false
% 19.49/5.06 |
% 19.49/5.06 |-The branch is then unsatisfiable
% 19.49/5.06 |-Branch two:
% 19.49/5.06 | (1205) ~ (all_0_216_216 = e12)
% 19.49/5.06 | (1211) all_0_216_216 = e14
% 19.49/5.06 |
% 19.49/5.06 | Equations (1211) can reduce 541 to:
% 19.49/5.06 | (1589) ~ (all_0_218_218 = e14)
% 19.49/5.06 |
% 19.49/5.06 | Simplifying 1589 yields:
% 19.49/5.06 | (1590) ~ (all_0_218_218 = e14)
% 19.49/5.06 |
% 19.49/5.06 | From (1211) and (1061) follows:
% 19.49/5.06 | (1591) op1(e11, e14) = e12
% 19.49/5.06 |
% 19.49/5.06 +-Applying beta-rule and splitting (1584), into two cases.
% 19.49/5.06 |-Branch one:
% 19.49/5.06 | (1195) all_0_222_222 = e12
% 19.49/5.06 |
% 19.49/5.06 | Equations (1195) can reduce 389 to:
% 19.49/5.06 | (1090) ~ (all_0_224_224 = e12)
% 19.49/5.06 |
% 19.49/5.06 | Simplifying 1090 yields:
% 19.49/5.06 | (1091) ~ (all_0_224_224 = e12)
% 19.49/5.06 |
% 19.49/5.06 | Equations (1195) can reduce 220 to:
% 19.49/5.06 | (1263) ~ (e14 = e12)
% 19.49/5.06 |
% 19.49/5.06 | Simplifying 1263 yields:
% 19.49/5.06 | (616) ~ (e14 = e12)
% 19.49/5.06 |
% 19.49/5.06 | Equations (1195) can reduce 633 to:
% 19.49/5.06 | (1265) ~ (e13 = e12)
% 19.49/5.06 |
% 19.49/5.06 | Simplifying 1265 yields:
% 19.49/5.06 | (584) ~ (e13 = e12)
% 19.49/5.06 |
% 19.49/5.06 +-Applying beta-rule and splitting (626), into two cases.
% 19.49/5.06 |-Branch one:
% 19.49/5.06 | (1101) all_0_222_222 = e10
% 19.49/5.06 |
% 19.49/5.06 | Combining equations (1195,1101) yields a new equation:
% 19.49/5.06 | (1600) e12 = e10
% 19.49/5.06 |
% 19.49/5.06 | Simplifying 1600 yields:
% 19.49/5.06 | (1229) e12 = e10
% 19.49/5.06 |
% 19.49/5.06 | Equations (1229) can reduce 140 to:
% 19.49/5.06 | (709) $false
% 19.49/5.06 |
% 19.49/5.06 |-The branch is then unsatisfiable
% 19.49/5.06 |-Branch two:
% 19.49/5.06 | (1182) ~ (all_0_222_222 = e10)
% 19.49/5.06 | (1177) all_0_227_227 = e10
% 19.49/5.06 |
% 19.49/5.06 | Equations (1177) can reduce 359 to:
% 19.49/5.06 | (1292) ~ (e13 = e10)
% 19.49/5.06 |
% 19.49/5.06 | Simplifying 1292 yields:
% 19.49/5.06 | (175) ~ (e13 = e10)
% 19.49/5.06 |
% 19.49/5.06 +-Applying beta-rule and splitting (178), into two cases.
% 19.49/5.06 |-Branch one:
% 19.49/5.06 | (1245) all_0_225_225 = e13
% 19.49/5.06 |
% 19.49/5.06 | Combining equations (1204,1245) yields a new equation:
% 19.49/5.06 | (1230) e13 = e12
% 19.49/5.06 |
% 19.49/5.06 | Equations (1230) can reduce 584 to:
% 19.49/5.06 | (709) $false
% 19.49/5.06 |
% 19.49/5.06 |-The branch is then unsatisfiable
% 19.49/5.06 |-Branch two:
% 19.49/5.06 | (1572) ~ (all_0_225_225 = e13)
% 19.49/5.06 | (1611) all_0_226_226 = e13 | all_0_228_228 = e13
% 19.49/5.06 |
% 19.49/5.06 | Equations (1204) can reduce 1572 to:
% 19.49/5.06 | (1265) ~ (e13 = e12)
% 19.83/5.06 |
% 19.83/5.06 | Simplifying 1265 yields:
% 19.83/5.06 | (584) ~ (e13 = e12)
% 19.83/5.06 |
% 19.83/5.06 +-Applying beta-rule and splitting (111), into two cases.
% 19.83/5.06 |-Branch one:
% 19.83/5.06 | (1546) all_0_213_213 = e13
% 19.83/5.06 |
% 19.83/5.06 | Equations (1546) can reduce 664 to:
% 19.83/5.06 | (1615) ~ (all_0_210_210 = e13)
% 19.83/5.06 |
% 19.83/5.06 | Equations (1546) can reduce 256 to:
% 19.83/5.06 | (1455) ~ (all_0_212_212 = e13)
% 19.83/5.06 |
% 19.83/5.06 | Equations (1546) can reduce 310 to:
% 19.83/5.06 | (1078) ~ (all_0_224_224 = e13)
% 19.83/5.06 |
% 19.83/5.06 | Simplifying 1078 yields:
% 19.83/5.06 | (1079) ~ (all_0_224_224 = e13)
% 19.83/5.06 |
% 19.83/5.06 +-Applying beta-rule and splitting (260), into two cases.
% 19.83/5.06 |-Branch one:
% 19.83/5.06 | (1114) all_0_224_224 = e11
% 19.83/5.06 |
% 19.83/5.06 | Equations (1114) can reduce 481 to:
% 19.83/5.06 | (1490) ~ (all_0_221_221 = e11)
% 19.83/5.06 |
% 19.83/5.06 | Equations (1114) can reduce 1079 to:
% 19.83/5.06 | (1478) ~ (e13 = e11)
% 19.83/5.06 |
% 19.83/5.06 | Simplifying 1478 yields:
% 19.83/5.06 | (374) ~ (e13 = e11)
% 19.83/5.06 |
% 19.83/5.06 | Equations (1114) can reduce 1091 to:
% 19.83/5.06 | (1480) ~ (e12 = e11)
% 19.83/5.06 |
% 19.83/5.06 | Simplifying 1480 yields:
% 19.83/5.06 | (381) ~ (e12 = e11)
% 19.83/5.06 |
% 19.83/5.06 | Equations (1114) can reduce 1103 to:
% 19.83/5.06 | (368) ~ (e11 = e10)
% 19.83/5.06 |
% 19.83/5.06 | From (1114) and (525) follows:
% 19.83/5.06 | (1116) op1(e11, all_0_228_228) = e10
% 19.83/5.06 |
% 19.83/5.06 +-Applying beta-rule and splitting (173), into two cases.
% 19.83/5.06 |-Branch one:
% 19.83/5.06 | (1579) all_0_211_211 = e12
% 19.83/5.06 |
% 19.83/5.06 | Combining equations (1579,1051) yields a new equation:
% 19.83/5.06 | (1232) e12 = e11
% 19.83/5.06 |
% 19.83/5.06 | Simplifying 1232 yields:
% 19.83/5.06 | (1233) e12 = e11
% 19.83/5.06 |
% 19.83/5.06 | Equations (1233) can reduce 381 to:
% 19.83/5.06 | (709) $false
% 19.83/5.06 |
% 19.83/5.06 |-The branch is then unsatisfiable
% 19.83/5.06 |-Branch two:
% 19.83/5.06 | (1583) ~ (all_0_211_211 = e12)
% 19.83/5.06 | (1632) all_0_212_212 = e12 | all_0_213_213 = e12
% 19.83/5.06 |
% 19.83/5.06 +-Applying beta-rule and splitting (1632), into two cases.
% 19.83/5.06 |-Branch one:
% 19.83/5.06 | (1213) all_0_212_212 = e12
% 19.83/5.06 |
% 19.83/5.06 | Equations (1213) can reduce 1455 to:
% 19.83/5.06 | (1265) ~ (e13 = e12)
% 19.83/5.06 |
% 19.83/5.06 | Simplifying 1265 yields:
% 19.83/5.06 | (584) ~ (e13 = e12)
% 19.83/5.06 |
% 19.83/5.06 | Equations (1213) can reduce 1054 to:
% 19.83/5.06 | (381) ~ (e12 = e11)
% 19.83/5.06 |
% 19.83/5.06 +-Applying beta-rule and splitting (11), into two cases.
% 19.83/5.06 |-Branch one:
% 19.83/5.06 | (1302) all_0_210_210 = e14
% 19.83/5.06 |
% 19.83/5.06 | Equations (1302) can reduce 87 to:
% 19.83/5.06 | (1638) ~ (all_0_221_221 = e14)
% 19.83/5.06 |
% 19.83/5.06 | Simplifying 1638 yields:
% 19.83/5.06 | (1639) ~ (all_0_221_221 = e14)
% 19.83/5.06 |
% 19.83/5.06 | Equations (1302) can reduce 1615 to:
% 19.83/5.06 | (70) ~ (e14 = e13)
% 19.83/5.06 |
% 19.83/5.06 | Equations (1302) can reduce 1052 to:
% 19.83/5.06 | (661) ~ (e14 = e11)
% 19.83/5.06 |
% 19.83/5.06 | From (1302) and (48) follows:
% 19.83/5.06 | (1642) op1(e11, e14) = e14
% 19.83/5.06 |
% 19.83/5.06 +-Applying beta-rule and splitting (280), into two cases.
% 19.83/5.06 |-Branch one:
% 19.83/5.06 | (1086) all_0_213_213 = e12
% 19.83/5.06 |
% 19.83/5.06 | Combining equations (1086,1546) yields a new equation:
% 19.83/5.06 | (1230) e13 = e12
% 19.83/5.06 |
% 19.83/5.06 | Equations (1230) can reduce 584 to:
% 19.83/5.06 | (709) $false
% 19.83/5.06 |
% 19.83/5.06 |-The branch is then unsatisfiable
% 19.83/5.06 |-Branch two:
% 19.83/5.06 | (1545) ~ (all_0_213_213 = e12)
% 19.83/5.06 | (1647) all_0_219_219 = e12 | all_0_224_224 = e12
% 19.83/5.06 |
% 19.83/5.06 +-Applying beta-rule and splitting (1647), into two cases.
% 19.83/5.06 |-Branch one:
% 19.83/5.06 | (1242) all_0_219_219 = e12
% 19.83/5.06 |
% 19.83/5.06 | Equations (1242) can reduce 204 to:
% 19.83/5.06 | (1237) ~ (all_0_218_218 = e12)
% 19.83/5.06 |
% 19.83/5.06 +-Applying beta-rule and splitting (278), into two cases.
% 19.83/5.06 |-Branch one:
% 19.83/5.06 | (1277) all_0_220_220 = e14
% 19.83/5.06 |
% 19.83/5.06 | Combining equations (1566,1277) yields a new equation:
% 19.83/5.06 | (1226) e14 = e13
% 19.83/5.06 |
% 19.83/5.06 | Equations (1226) can reduce 70 to:
% 19.83/5.06 | (709) $false
% 19.83/5.06 |
% 19.83/5.06 |-The branch is then unsatisfiable
% 19.83/5.06 |-Branch two:
% 19.83/5.06 | (1653) ~ (all_0_220_220 = e14)
% 19.83/5.06 | (1654) all_0_221_221 = e14 | all_0_223_223 = e14
% 19.83/5.06 |
% 19.83/5.06 +-Applying beta-rule and splitting (1611), into two cases.
% 19.83/5.06 |-Branch one:
% 19.83/5.06 | (1537) all_0_226_226 = e13
% 19.83/5.06 |
% 19.83/5.06 | From (1537) and (1557) follows:
% 19.83/5.06 | (1656) op1(e13, e10) = e13
% 19.83/5.06 |
% 19.83/5.06 +-Applying beta-rule and splitting (108), into two cases.
% 19.83/5.06 |-Branch one:
% 19.83/5.06 | (1125) all_0_226_226 = e11
% 19.83/5.06 |
% 19.83/5.06 | Combining equations (1537,1125) yields a new equation:
% 19.83/5.06 | (1487) e13 = e11
% 19.83/5.06 |
% 19.83/5.06 | Simplifying 1487 yields:
% 19.83/5.06 | (1231) e13 = e11
% 19.83/5.06 |
% 19.83/5.06 | Equations (1231) can reduce 374 to:
% 19.83/5.06 | (709) $false
% 19.83/5.06 |
% 19.83/5.06 |-The branch is then unsatisfiable
% 19.83/5.06 |-Branch two:
% 19.83/5.06 | (1128) ~ (all_0_226_226 = e11)
% 19.83/5.06 | (1129) all_0_227_227 = e11 | all_0_228_228 = e11
% 19.83/5.06 |
% 19.83/5.06 | Equations (1537) can reduce 1128 to:
% 19.83/5.06 | (374) ~ (e13 = e11)
% 19.83/5.06 |
% 19.83/5.06 +-Applying beta-rule and splitting (311), into two cases.
% 19.83/5.06 |-Branch one:
% 19.83/5.06 | (1142) all_0_210_210 = e11
% 19.83/5.06 |
% 19.83/5.06 | Combining equations (1142,1302) yields a new equation:
% 19.83/5.06 | (1228) e14 = e11
% 19.83/5.06 |
% 19.83/5.07 | Equations (1228) can reduce 661 to:
% 19.83/5.07 | (709) $false
% 19.83/5.07 |
% 19.83/5.07 |-The branch is then unsatisfiable
% 19.83/5.07 |-Branch two:
% 19.83/5.07 | (1052) ~ (all_0_210_210 = e11)
% 19.83/5.07 | (1145) all_0_217_217 = e11 | all_0_221_221 = e11 | all_0_226_226 = e11
% 19.83/5.07 |
% 19.83/5.07 +-Applying beta-rule and splitting (1145), into two cases.
% 19.83/5.07 |-Branch one:
% 19.83/5.07 | (1146) all_0_217_217 = e11
% 19.83/5.07 |
% 19.83/5.07 | Equations (1146) can reduce 12 to:
% 19.83/5.07 | (1670) ~ (all_0_221_221 = e11)
% 19.83/5.07 |
% 19.83/5.07 | Simplifying 1670 yields:
% 19.83/5.07 | (1490) ~ (all_0_221_221 = e11)
% 19.83/5.07 |
% 19.83/5.07 | From (1146) and (412) follows:
% 19.83/5.07 | (1672) op1(e11, e14) = e13
% 19.83/5.07 |
% 19.83/5.07 +-Applying beta-rule and splitting (531), into two cases.
% 19.83/5.07 |-Branch one:
% 19.83/5.07 | (1110) all_0_217_217 = e10
% 19.83/5.07 |
% 19.83/5.07 | Combining equations (1146,1110) yields a new equation:
% 19.83/5.07 | (1234) e11 = e10
% 19.83/5.07 |
% 19.83/5.07 | Simplifying 1234 yields:
% 19.83/5.07 | (1126) e11 = e10
% 19.83/5.07 |
% 19.83/5.07 | Equations (1126) can reduce 368 to:
% 19.83/5.07 | (709) $false
% 19.83/5.07 |
% 19.83/5.07 |-The branch is then unsatisfiable
% 19.83/5.07 |-Branch two:
% 19.83/5.07 | (1107) ~ (all_0_217_217 = e10)
% 19.83/5.07 | (1678) all_0_221_221 = e10 | all_0_226_226 = e10
% 19.83/5.07 |
% 19.83/5.07 | Equations (1146) can reduce 1107 to:
% 19.83/5.07 | (368) ~ (e11 = e10)
% 19.83/5.07 |
% 19.83/5.07 +-Applying beta-rule and splitting (1129), into two cases.
% 19.83/5.07 |-Branch one:
% 19.83/5.07 | (1130) all_0_227_227 = e11
% 19.83/5.07 |
% 19.83/5.07 | Combining equations (1130,1177) yields a new equation:
% 19.83/5.07 | (1234) e11 = e10
% 19.83/5.07 |
% 19.83/5.07 | Simplifying 1234 yields:
% 19.83/5.07 | (1126) e11 = e10
% 19.83/5.07 |
% 19.83/5.07 | Equations (1126) can reduce 368 to:
% 19.83/5.07 | (709) $false
% 19.83/5.07 |
% 19.83/5.07 |-The branch is then unsatisfiable
% 19.83/5.07 |-Branch two:
% 19.83/5.07 | (1060) ~ (all_0_227_227 = e11)
% 19.83/5.07 | (1137) all_0_228_228 = e11
% 19.83/5.07 |
% 19.83/5.07 | Equations (1137) can reduce 39 to:
% 19.83/5.07 | (1138) ~ (all_0_218_218 = e11)
% 19.83/5.07 |
% 19.83/5.07 | From (1137) and (1116) follows:
% 19.83/5.07 | (1141) op1(e11, e11) = e10
% 19.83/5.07 |
% 19.83/5.07 +-Applying beta-rule and splitting (549), into two cases.
% 19.83/5.07 |-Branch one:
% 19.83/5.07 | (1486) all_0_221_221 = e11
% 19.83/5.07 |
% 19.83/5.07 | Equations (1486) can reduce 1490 to:
% 19.83/5.07 | (709) $false
% 19.83/5.07 |
% 19.83/5.07 |-The branch is then unsatisfiable
% 19.83/5.07 |-Branch two:
% 19.83/5.07 | (1490) ~ (all_0_221_221 = e11)
% 19.83/5.07 | (1691) all_0_221_221 = e14 | all_0_221_221 = e13 | all_0_221_221 = e10
% 19.83/5.07 |
% 19.83/5.07 +-Applying beta-rule and splitting (596), into two cases.
% 19.83/5.07 |-Branch one:
% 19.83/5.07 | (1158) all_0_218_218 = e11
% 19.83/5.07 |
% 19.83/5.07 | Equations (1158) can reduce 1138 to:
% 19.83/5.07 | (709) $false
% 19.83/5.07 |
% 19.83/5.07 |-The branch is then unsatisfiable
% 19.83/5.07 |-Branch two:
% 19.83/5.07 | (1138) ~ (all_0_218_218 = e11)
% 19.83/5.07 | (1695) all_0_218_218 = e14 | all_0_218_218 = e12 | all_0_218_218 = e10
% 19.83/5.07 |
% 19.83/5.07 +-Applying beta-rule and splitting (1695), into two cases.
% 19.83/5.07 |-Branch one:
% 19.83/5.07 | (1223) all_0_218_218 = e12
% 19.83/5.07 |
% 19.83/5.07 | Equations (1223) can reduce 1237 to:
% 19.83/5.07 | (709) $false
% 19.83/5.07 |
% 19.83/5.07 |-The branch is then unsatisfiable
% 19.83/5.07 |-Branch two:
% 19.83/5.07 | (1237) ~ (all_0_218_218 = e12)
% 19.83/5.07 | (1699) all_0_218_218 = e14 | all_0_218_218 = e10
% 19.83/5.07 |
% 19.83/5.07 +-Applying beta-rule and splitting (1699), into two cases.
% 19.83/5.07 |-Branch one:
% 19.83/5.07 | (1118) all_0_218_218 = e10
% 19.83/5.07 |
% 19.83/5.07 | Equations (1118) can reduce 132 to:
% 19.83/5.07 | (1292) ~ (e13 = e10)
% 19.83/5.07 |
% 19.83/5.07 | Simplifying 1292 yields:
% 19.83/5.07 | (175) ~ (e13 = e10)
% 19.83/5.07 |
% 19.83/5.07 +-Applying beta-rule and splitting (621), into two cases.
% 19.83/5.07 |-Branch one:
% 19.83/5.07 | (1703) all_0_221_221 = e10
% 19.83/5.07 |
% 19.83/5.07 | Equations (1703) can reduce 1639 to:
% 19.83/5.07 | (1704) ~ (e14 = e10)
% 19.83/5.07 |
% 19.83/5.07 | Simplifying 1704 yields:
% 19.83/5.07 | (15) ~ (e14 = e10)
% 19.83/5.07 |
% 19.83/5.07 | Equations (1703) can reduce 1490 to:
% 19.83/5.07 | (1123) ~ (e11 = e10)
% 19.83/5.07 |
% 19.83/5.07 | Simplifying 1123 yields:
% 19.83/5.07 | (368) ~ (e11 = e10)
% 19.83/5.07 |
% 19.83/5.07 | From (1703) and (1565) follows:
% 19.83/5.07 | (1708) op1(e13, e10) = e11
% 19.83/5.07 |
% 19.83/5.07 +-Applying beta-rule and splitting (1654), into two cases.
% 19.83/5.07 |-Branch one:
% 19.83/5.07 | (1709) all_0_221_221 = e14
% 19.83/5.07 |
% 19.83/5.07 | Combining equations (1703,1709) yields a new equation:
% 19.83/5.07 | (1710) e14 = e10
% 19.83/5.07 |
% 19.83/5.07 | Equations (1710) can reduce 15 to:
% 19.83/5.07 | (709) $false
% 19.83/5.07 |
% 19.83/5.07 |-The branch is then unsatisfiable
% 19.83/5.07 |-Branch two:
% 19.83/5.07 | (1639) ~ (all_0_221_221 = e14)
% 19.83/5.07 | (1713) all_0_223_223 = e14
% 19.83/5.07 |
% 19.83/5.07 | From (1713) and (114) follows:
% 19.83/5.07 | (1714) op1(e11, e11) = e14
% 19.83/5.07 |
% 19.83/5.07 | Instantiating formula (406) with e13, e10, e11, e13 and discharging atoms op1(e13, e10) = e13, op1(e13, e10) = e11, yields:
% 19.83/5.07 | (1231) e13 = e11
% 19.83/5.07 |
% 19.83/5.07 | Instantiating formula (406) with e11, e14, e13, e14 and discharging atoms op1(e11, e14) = e14, op1(e11, e14) = e13, yields:
% 19.83/5.07 | (1226) e14 = e13
% 19.83/5.07 |
% 19.83/5.07 | Instantiating formula (406) with e11, e14, e12, e13 and discharging atoms op1(e11, e14) = e13, op1(e11, e14) = e12, yields:
% 19.83/5.07 | (1230) e13 = e12
% 19.83/5.07 |
% 19.83/5.07 | Instantiating formula (406) with e11, e11, e10, e14 and discharging atoms op1(e11, e11) = e14, op1(e11, e11) = e10, yields:
% 19.83/5.07 | (1710) e14 = e10
% 19.83/5.07 |
% 19.83/5.07 | Combining equations (1226,1710) yields a new equation:
% 19.83/5.07 | (1317) e13 = e10
% 19.83/5.07 |
% 19.83/5.07 | Simplifying 1317 yields:
% 19.83/5.07 | (1318) e13 = e10
% 19.83/5.07 |
% 19.83/5.07 | Combining equations (1231,1230) yields a new equation:
% 19.83/5.07 | (1233) e12 = e11
% 19.83/5.07 |
% 19.83/5.07 | Combining equations (1318,1230) yields a new equation:
% 19.83/5.07 | (1229) e12 = e10
% 19.83/5.07 |
% 19.83/5.07 | Combining equations (1233,1229) yields a new equation:
% 19.83/5.07 | (1234) e11 = e10
% 19.83/5.07 |
% 19.83/5.07 | Simplifying 1234 yields:
% 19.83/5.07 | (1126) e11 = e10
% 19.83/5.07 |
% 19.83/5.07 | Equations (1126) can reduce 368 to:
% 19.83/5.07 | (709) $false
% 19.83/5.07 |
% 19.83/5.07 |-The branch is then unsatisfiable
% 19.83/5.07 |-Branch two:
% 19.83/5.07 | (1726) ~ (all_0_221_221 = e10)
% 19.83/5.07 | (1727) all_0_222_222 = e10 | all_0_223_223 = e10 | all_0_224_224 = e10
% 19.83/5.07 |
% 19.83/5.07 +-Applying beta-rule and splitting (1678), into two cases.
% 19.83/5.07 |-Branch one:
% 19.83/5.07 | (1703) all_0_221_221 = e10
% 19.83/5.07 |
% 19.83/5.07 | Equations (1703) can reduce 1726 to:
% 19.83/5.07 | (709) $false
% 19.83/5.07 |
% 19.83/5.07 |-The branch is then unsatisfiable
% 19.83/5.07 |-Branch two:
% 19.83/5.07 | (1726) ~ (all_0_221_221 = e10)
% 19.83/5.07 | (1106) all_0_226_226 = e10
% 19.83/5.07 |
% 19.83/5.07 | Combining equations (1537,1106) yields a new equation:
% 19.83/5.07 | (1317) e13 = e10
% 19.83/5.07 |
% 19.83/5.07 | Simplifying 1317 yields:
% 19.83/5.07 | (1318) e13 = e10
% 19.83/5.07 |
% 19.83/5.07 | Equations (1318) can reduce 175 to:
% 19.83/5.07 | (709) $false
% 19.83/5.07 |
% 19.83/5.07 |-The branch is then unsatisfiable
% 19.83/5.07 |-Branch two:
% 19.83/5.07 | (1070) ~ (all_0_218_218 = e10)
% 19.83/5.07 | (1280) all_0_218_218 = e14
% 19.83/5.07 |
% 19.83/5.07 | Equations (1280) can reduce 1590 to:
% 19.83/5.07 | (709) $false
% 19.83/5.07 |
% 19.83/5.07 |-The branch is then unsatisfiable
% 19.83/5.07 |-Branch two:
% 19.83/5.07 | (1152) ~ (all_0_217_217 = e11)
% 19.83/5.07 | (1153) all_0_221_221 = e11 | all_0_226_226 = e11
% 19.83/5.07 |
% 19.83/5.07 +-Applying beta-rule and splitting (1153), into two cases.
% 19.83/5.07 |-Branch one:
% 19.83/5.07 | (1486) all_0_221_221 = e11
% 19.83/5.07 |
% 19.83/5.07 | Equations (1486) can reduce 1490 to:
% 19.83/5.07 | (709) $false
% 19.83/5.07 |
% 19.83/5.07 |-The branch is then unsatisfiable
% 19.83/5.07 |-Branch two:
% 19.83/5.07 | (1490) ~ (all_0_221_221 = e11)
% 19.83/5.07 | (1125) all_0_226_226 = e11
% 19.83/5.07 |
% 19.83/5.07 | Combining equations (1537,1125) yields a new equation:
% 19.83/5.07 | (1487) e13 = e11
% 19.83/5.07 |
% 19.83/5.07 | Simplifying 1487 yields:
% 19.83/5.07 | (1231) e13 = e11
% 19.83/5.07 |
% 19.83/5.07 | Equations (1231) can reduce 374 to:
% 19.83/5.07 | (709) $false
% 19.83/5.07 |
% 19.83/5.07 |-The branch is then unsatisfiable
% 19.83/5.07 |-Branch two:
% 19.83/5.07 | (1247) ~ (all_0_226_226 = e13)
% 19.83/5.07 | (1530) all_0_228_228 = e13
% 19.83/5.07 |
% 19.83/5.07 | Equations (1530) can reduce 1249 to:
% 19.83/5.07 | (709) $false
% 19.83/5.07 |
% 19.83/5.07 |-The branch is then unsatisfiable
% 19.83/5.07 |-Branch two:
% 19.83/5.07 | (1089) ~ (all_0_219_219 = e12)
% 19.83/5.07 | (1166) all_0_224_224 = e12
% 19.83/5.07 |
% 19.83/5.07 | Combining equations (1166,1114) yields a new equation:
% 19.83/5.07 | (1232) e12 = e11
% 19.83/5.07 |
% 19.83/5.07 | Simplifying 1232 yields:
% 19.83/5.07 | (1233) e12 = e11
% 19.83/5.07 |
% 19.83/5.07 | Equations (1233) can reduce 381 to:
% 19.83/5.07 | (709) $false
% 19.83/5.07 |
% 19.83/5.07 |-The branch is then unsatisfiable
% 19.83/5.07 |-Branch two:
% 19.83/5.07 | (1517) ~ (all_0_210_210 = e14)
% 19.83/5.07 | (1464) all_0_212_212 = e14
% 19.83/5.07 |
% 19.83/5.07 | Combining equations (1464,1213) yields a new equation:
% 19.83/5.07 | (1218) e14 = e12
% 19.83/5.07 |
% 19.83/5.07 | Simplifying 1218 yields:
% 19.83/5.07 | (1219) e14 = e12
% 19.83/5.07 |
% 19.83/5.07 | Equations (1219) can reduce 616 to:
% 19.90/5.08 | (709) $false
% 19.90/5.08 |
% 19.90/5.08 |-The branch is then unsatisfiable
% 19.90/5.08 |-Branch two:
% 19.90/5.08 | (1087) ~ (all_0_212_212 = e12)
% 19.90/5.08 | (1086) all_0_213_213 = e12
% 19.90/5.08 |
% 19.90/5.08 | Combining equations (1086,1546) yields a new equation:
% 19.90/5.08 | (1230) e13 = e12
% 19.90/5.08 |
% 19.90/5.08 | Equations (1230) can reduce 584 to:
% 19.90/5.08 | (709) $false
% 19.90/5.08 |
% 19.90/5.08 |-The branch is then unsatisfiable
% 19.90/5.08 |-Branch two:
% 19.90/5.08 | (1164) ~ (all_0_224_224 = e11)
% 19.90/5.08 | (1165) all_0_224_224 = e13 | all_0_224_224 = e12 | all_0_224_224 = e10
% 19.90/5.08 |
% 19.90/5.08 +-Applying beta-rule and splitting (1165), into two cases.
% 19.90/5.08 |-Branch one:
% 19.90/5.08 | (1166) all_0_224_224 = e12
% 19.90/5.08 |
% 19.90/5.08 | Equations (1166) can reduce 1091 to:
% 19.90/5.08 | (709) $false
% 19.90/5.08 |
% 19.90/5.08 |-The branch is then unsatisfiable
% 19.90/5.08 |-Branch two:
% 19.90/5.08 | (1091) ~ (all_0_224_224 = e12)
% 19.90/5.08 | (1169) all_0_224_224 = e13 | all_0_224_224 = e10
% 19.90/5.08 |
% 19.90/5.08 +-Applying beta-rule and splitting (1169), into two cases.
% 19.90/5.08 |-Branch one:
% 19.90/5.08 | (1170) all_0_224_224 = e13
% 19.90/5.08 |
% 19.90/5.08 | Equations (1170) can reduce 1079 to:
% 19.90/5.08 | (709) $false
% 19.90/5.08 |
% 19.90/5.08 |-The branch is then unsatisfiable
% 19.90/5.08 |-Branch two:
% 19.90/5.08 | (1079) ~ (all_0_224_224 = e13)
% 19.90/5.08 | (1173) all_0_224_224 = e10
% 19.90/5.08 |
% 19.90/5.08 | Equations (1173) can reduce 1103 to:
% 19.90/5.08 | (709) $false
% 19.90/5.08 |
% 19.90/5.08 |-The branch is then unsatisfiable
% 19.90/5.08 |-Branch two:
% 19.90/5.08 | (1075) ~ (all_0_213_213 = e13)
% 19.90/5.08 | (1776) all_0_215_215 = e13 | all_0_224_224 = e13
% 19.90/5.08 |
% 19.90/5.08 +-Applying beta-rule and splitting (1776), into two cases.
% 19.90/5.08 |-Branch one:
% 19.90/5.08 | (1074) all_0_215_215 = e13
% 19.90/5.08 |
% 19.90/5.08 | Combining equations (1316,1074) yields a new equation:
% 19.90/5.08 | (1318) e13 = e10
% 19.90/5.08 |
% 19.90/5.08 | Equations (1318) can reduce 175 to:
% 19.90/5.08 | (709) $false
% 19.90/5.08 |
% 19.90/5.08 |-The branch is then unsatisfiable
% 19.90/5.08 |-Branch two:
% 19.90/5.08 | (1548) ~ (all_0_215_215 = e13)
% 19.90/5.08 | (1170) all_0_224_224 = e13
% 19.90/5.08 |
% 19.90/5.08 | Equations (1170) can reduce 1079 to:
% 19.90/5.08 | (709) $false
% 19.90/5.08 |
% 19.90/5.08 |-The branch is then unsatisfiable
% 19.90/5.08 |-Branch two:
% 19.90/5.08 | (1542) ~ (all_0_222_222 = e12)
% 19.90/5.08 | (1784) all_0_227_227 = e12
% 19.90/5.08 |
% 19.90/5.08 | Equations (1784) can reduce 1576 to:
% 19.90/5.08 | (709) $false
% 19.90/5.08 |
% 19.90/5.08 |-The branch is then unsatisfiable
% 19.90/5.08 |-Branch two:
% 19.90/5.08 | (1244) ~ (all_0_225_225 = e12)
% 19.90/5.08 | (1245) all_0_225_225 = e13
% 19.90/5.08 |
% 19.90/5.08 | Equations (1245) can reduce 1572 to:
% 19.90/5.08 | (709) $false
% 19.90/5.08 |
% 19.90/5.08 |-The branch is then unsatisfiable
% 19.90/5.08 |-Branch two:
% 19.90/5.08 | (1789) ~ (all_0_220_220 = e13)
% 19.90/5.08 | (1245) all_0_225_225 = e13
% 19.90/5.08 |
% 19.90/5.08 | Equations (1245) can reduce 124 to:
% 19.90/5.08 | (1246) ~ (all_0_226_226 = e13)
% 19.90/5.08 |
% 19.90/5.08 | Simplifying 1246 yields:
% 19.90/5.08 | (1247) ~ (all_0_226_226 = e13)
% 19.90/5.08 |
% 19.90/5.08 | Equations (1245) can reduce 393 to:
% 19.90/5.08 | (1793) ~ (all_0_227_227 = e13)
% 19.90/5.08 |
% 19.90/5.08 | Simplifying 1793 yields:
% 19.90/5.08 | (359) ~ (all_0_227_227 = e13)
% 19.90/5.08 |
% 19.90/5.08 +-Applying beta-rule and splitting (67), into two cases.
% 19.90/5.08 |-Branch one:
% 19.90/5.08 | (1208) all_0_216_216 = e12
% 19.90/5.08 |
% 19.90/5.08 | Equations (1208) can reduce 107 to:
% 19.90/5.08 | (1088) ~ (all_0_219_219 = e12)
% 19.90/5.08 |
% 19.90/5.08 | Simplifying 1088 yields:
% 19.90/5.08 | (1089) ~ (all_0_219_219 = e12)
% 19.90/5.08 |
% 19.90/5.08 | From (1208) and (1062) follows:
% 19.90/5.08 | (1271) op1(e12, e11) = e14
% 19.90/5.08 |
% 19.90/5.08 | From (1208) and (1061) follows:
% 19.90/5.08 | (1799) op1(e11, e12) = e12
% 19.90/5.08 |
% 19.90/5.08 +-Applying beta-rule and splitting (74), into two cases.
% 19.90/5.08 |-Branch one:
% 19.90/5.08 | (1161) all_0_219_219 = e11
% 19.90/5.08 |
% 19.90/5.08 | Instantiating formula (406) with e12, e11, e14, all_0_218_218 and discharging atoms op1(e12, e11) = all_0_218_218, op1(e12, e11) = e14, yields:
% 19.90/5.08 | (1280) all_0_218_218 = e14
% 19.90/5.08 |
% 19.90/5.08 | Instantiating formula (406) with e11, e12, e12, all_0_222_222 and discharging atoms op1(e11, e12) = all_0_222_222, op1(e11, e12) = e12, yields:
% 19.90/5.08 | (1195) all_0_222_222 = e12
% 19.90/5.08 |
% 19.90/5.08 | Equations (1280) can reduce 263 to:
% 19.90/5.08 | (1289) ~ (all_0_212_212 = e14)
% 19.90/5.08 |
% 19.90/5.08 | Equations (1280) can reduce 132 to:
% 19.90/5.08 | (70) ~ (e14 = e13)
% 19.90/5.08 |
% 19.90/5.08 | Equations (1195) can reduce 152 to:
% 19.90/5.08 | (638) ~ (all_0_221_221 = e12)
% 19.90/5.08 |
% 19.90/5.08 | Equations (1195) can reduce 389 to:
% 19.90/5.08 | (1090) ~ (all_0_224_224 = e12)
% 19.90/5.08 |
% 19.90/5.08 | Simplifying 1090 yields:
% 19.90/5.08 | (1091) ~ (all_0_224_224 = e12)
% 19.90/5.08 |
% 19.90/5.08 | Equations (1195) can reduce 1058 to:
% 19.90/5.08 | (381) ~ (e12 = e11)
% 19.90/5.08 |
% 19.90/5.08 +-Applying beta-rule and splitting (11), into two cases.
% 19.90/5.08 |-Branch one:
% 19.90/5.08 | (1302) all_0_210_210 = e14
% 19.90/5.08 |
% 19.90/5.08 +-Applying beta-rule and splitting (280), into two cases.
% 19.90/5.08 |-Branch one:
% 19.90/5.08 | (1086) all_0_213_213 = e12
% 19.90/5.08 |
% 19.90/5.08 +-Applying beta-rule and splitting (181), into two cases.
% 19.90/5.08 |-Branch one:
% 19.90/5.08 | (1811) all_0_210_210 = e13
% 19.90/5.08 |
% 19.90/5.08 | Combining equations (1811,1302) yields a new equation:
% 19.90/5.08 | (1226) e14 = e13
% 19.90/5.08 |
% 19.90/5.08 | Equations (1226) can reduce 70 to:
% 19.90/5.08 | (709) $false
% 19.90/5.08 |
% 19.90/5.08 |-The branch is then unsatisfiable
% 19.90/5.08 |-Branch two:
% 19.90/5.08 | (1615) ~ (all_0_210_210 = e13)
% 19.90/5.08 | (1815) all_0_221_221 = e13 | all_0_226_226 = e13
% 19.90/5.08 |
% 19.90/5.08 | Equations (1302) can reduce 1615 to:
% 19.90/5.08 | (70) ~ (e14 = e13)
% 19.90/5.08 |
% 19.90/5.08 +-Applying beta-rule and splitting (243), into two cases.
% 19.90/5.08 |-Branch one:
% 19.90/5.08 | (1811) all_0_210_210 = e13
% 19.90/5.08 |
% 19.90/5.08 | Combining equations (1811,1302) yields a new equation:
% 19.90/5.08 | (1226) e14 = e13
% 19.90/5.08 |
% 19.90/5.08 | Equations (1226) can reduce 70 to:
% 19.90/5.08 | (709) $false
% 19.90/5.08 |
% 19.90/5.08 |-The branch is then unsatisfiable
% 19.90/5.08 |-Branch two:
% 19.90/5.08 | (1615) ~ (all_0_210_210 = e13)
% 19.90/5.08 | (1821) all_0_212_212 = e13 | all_0_213_213 = e13
% 19.90/5.08 |
% 19.90/5.08 +-Applying beta-rule and splitting (1815), into two cases.
% 19.90/5.08 |-Branch one:
% 19.90/5.08 | (1281) all_0_221_221 = e13
% 19.90/5.08 |
% 19.90/5.08 | Equations (1281) can reduce 638 to:
% 19.90/5.08 | (584) ~ (e13 = e12)
% 19.90/5.08 |
% 19.90/5.08 +-Applying beta-rule and splitting (1821), into two cases.
% 19.90/5.08 |-Branch one:
% 19.90/5.08 | (1329) all_0_212_212 = e13
% 19.90/5.08 |
% 19.90/5.08 | Equations (1329) can reduce 1455 to:
% 19.90/5.08 | (709) $false
% 19.90/5.08 |
% 19.90/5.08 |-The branch is then unsatisfiable
% 19.90/5.08 |-Branch two:
% 19.90/5.08 | (1455) ~ (all_0_212_212 = e13)
% 19.90/5.08 | (1546) all_0_213_213 = e13
% 19.90/5.08 |
% 19.90/5.08 | Combining equations (1086,1546) yields a new equation:
% 19.90/5.08 | (1230) e13 = e12
% 19.90/5.08 |
% 19.90/5.08 | Equations (1230) can reduce 584 to:
% 19.90/5.08 | (709) $false
% 19.90/5.08 |
% 19.90/5.08 |-The branch is then unsatisfiable
% 19.90/5.08 |-Branch two:
% 19.90/5.08 | (1830) ~ (all_0_221_221 = e13)
% 19.90/5.08 | (1537) all_0_226_226 = e13
% 19.90/5.08 |
% 19.90/5.08 | Equations (1537) can reduce 1247 to:
% 19.90/5.08 | (709) $false
% 19.90/5.08 |
% 19.90/5.08 |-The branch is then unsatisfiable
% 19.90/5.08 |-Branch two:
% 19.90/5.08 | (1545) ~ (all_0_213_213 = e12)
% 19.90/5.08 | (1647) all_0_219_219 = e12 | all_0_224_224 = e12
% 19.90/5.08 |
% 19.90/5.08 +-Applying beta-rule and splitting (173), into two cases.
% 19.90/5.08 |-Branch one:
% 19.90/5.08 | (1579) all_0_211_211 = e12
% 19.90/5.08 |
% 19.90/5.08 | Combining equations (1579,1051) yields a new equation:
% 19.90/5.08 | (1232) e12 = e11
% 19.90/5.08 |
% 19.90/5.08 | Simplifying 1232 yields:
% 19.90/5.08 | (1233) e12 = e11
% 19.90/5.08 |
% 19.90/5.08 | Equations (1233) can reduce 381 to:
% 19.90/5.08 | (709) $false
% 19.90/5.08 |
% 19.90/5.08 |-The branch is then unsatisfiable
% 19.90/5.08 |-Branch two:
% 19.90/5.08 | (1583) ~ (all_0_211_211 = e12)
% 19.90/5.08 | (1632) all_0_212_212 = e12 | all_0_213_213 = e12
% 19.90/5.08 |
% 19.90/5.08 | Equations (1051) can reduce 1583 to:
% 19.90/5.08 | (1480) ~ (e12 = e11)
% 19.90/5.08 |
% 19.90/5.08 | Simplifying 1480 yields:
% 19.90/5.08 | (381) ~ (e12 = e11)
% 19.90/5.08 |
% 19.90/5.08 +-Applying beta-rule and splitting (1647), into two cases.
% 19.90/5.08 |-Branch one:
% 19.90/5.08 | (1242) all_0_219_219 = e12
% 19.90/5.08 |
% 19.90/5.08 | Combining equations (1161,1242) yields a new equation:
% 19.90/5.08 | (1233) e12 = e11
% 19.90/5.08 |
% 19.90/5.08 | Equations (1233) can reduce 381 to:
% 19.90/5.08 | (709) $false
% 19.90/5.08 |
% 19.90/5.08 |-The branch is then unsatisfiable
% 19.90/5.08 |-Branch two:
% 19.90/5.08 | (1089) ~ (all_0_219_219 = e12)
% 19.90/5.08 | (1166) all_0_224_224 = e12
% 19.90/5.08 |
% 19.90/5.08 | Equations (1166) can reduce 1091 to:
% 19.90/5.08 | (709) $false
% 19.90/5.08 |
% 19.90/5.08 |-The branch is then unsatisfiable
% 19.90/5.08 |-Branch two:
% 19.90/5.08 | (1517) ~ (all_0_210_210 = e14)
% 19.90/5.08 | (1464) all_0_212_212 = e14
% 19.90/5.08 |
% 19.90/5.08 | Equations (1464) can reduce 1289 to:
% 19.90/5.08 | (709) $false
% 19.90/5.08 |
% 19.90/5.08 |-The branch is then unsatisfiable
% 19.90/5.08 |-Branch two:
% 19.90/5.08 | (1115) ~ (all_0_219_219 = e11)
% 19.90/5.08 | (1467) all_0_219_219 = e12 | all_0_219_219 = e10
% 19.90/5.08 |
% 19.90/5.08 +-Applying beta-rule and splitting (1467), into two cases.
% 19.90/5.08 |-Branch one:
% 19.90/5.08 | (1242) all_0_219_219 = e12
% 19.90/5.08 |
% 19.90/5.08 | Equations (1242) can reduce 1089 to:
% 19.90/5.08 | (709) $false
% 19.90/5.08 |
% 19.90/5.08 |-The branch is then unsatisfiable
% 19.90/5.08 |-Branch two:
% 19.90/5.08 | (1089) ~ (all_0_219_219 = e12)
% 19.90/5.08 | (1121) all_0_219_219 = e10
% 19.90/5.08 |
% 19.90/5.08 | Equations (1121) can reduce 1291 to:
% 19.90/5.08 | (709) $false
% 19.90/5.08 |
% 19.90/5.08 |-The branch is then unsatisfiable
% 19.90/5.08 |-Branch two:
% 19.90/5.08 | (1205) ~ (all_0_216_216 = e12)
% 19.90/5.08 | (1211) all_0_216_216 = e14
% 19.90/5.08 |
% 19.90/5.08 | Equations (1211) can reduce 159 to:
% 19.90/5.08 | (1861) ~ (all_0_217_217 = e14)
% 19.90/5.08 |
% 19.90/5.08 | Simplifying 1861 yields:
% 19.90/5.08 | (1862) ~ (all_0_217_217 = e14)
% 19.90/5.08 |
% 19.90/5.08 | Equations (1211) can reduce 1205 to:
% 19.90/5.08 | (616) ~ (e14 = e12)
% 19.90/5.08 |
% 19.90/5.08 | From (1211) and (1062) follows:
% 19.90/5.08 | (1864) op1(e14, e11) = e14
% 19.90/5.08 |
% 19.90/5.08 +-Applying beta-rule and splitting (356), into two cases.
% 19.90/5.08 |-Branch one:
% 19.90/5.08 | (1522) all_0_220_220 = e12
% 19.90/5.08 |
% 19.90/5.09 | Equations (1522) can reduce 102 to:
% 19.90/5.09 | (1866) ~ (all_0_221_221 = e12)
% 19.90/5.09 |
% 19.90/5.09 | Simplifying 1866 yields:
% 19.90/5.09 | (638) ~ (all_0_221_221 = e12)
% 19.90/5.09 |
% 19.90/5.09 | Equations (1522) can reduce 501 to:
% 19.90/5.09 | (1868) ~ (all_0_222_222 = e12)
% 19.90/5.09 |
% 19.90/5.09 | Simplifying 1868 yields:
% 19.90/5.09 | (1542) ~ (all_0_222_222 = e12)
% 19.90/5.09 |
% 19.90/5.09 | Equations (1522) can reduce 477 to:
% 19.90/5.09 | (1870) ~ (all_0_223_223 = e12)
% 19.90/5.09 |
% 19.90/5.09 | Simplifying 1870 yields:
% 19.90/5.09 | (1871) ~ (all_0_223_223 = e12)
% 19.90/5.09 |
% 19.90/5.09 +-Applying beta-rule and splitting (510), into two cases.
% 19.90/5.09 |-Branch one:
% 19.90/5.09 | (1191) all_0_222_222 = e11
% 19.90/5.09 |
% 19.90/5.09 | Equations (1191) can reduce 1058 to:
% 19.90/5.09 | (709) $false
% 19.90/5.09 |
% 19.90/5.09 |-The branch is then unsatisfiable
% 19.90/5.09 |-Branch two:
% 19.90/5.09 | (1058) ~ (all_0_222_222 = e11)
% 19.90/5.09 | (1194) all_0_222_222 = e12 | all_0_222_222 = e10
% 19.90/5.09 |
% 19.90/5.09 +-Applying beta-rule and splitting (1194), into two cases.
% 19.90/5.09 |-Branch one:
% 19.90/5.09 | (1195) all_0_222_222 = e12
% 19.90/5.09 |
% 19.90/5.09 | Equations (1195) can reduce 1542 to:
% 19.90/5.09 | (709) $false
% 19.90/5.09 |
% 19.90/5.09 |-The branch is then unsatisfiable
% 19.90/5.09 |-Branch two:
% 19.90/5.09 | (1542) ~ (all_0_222_222 = e12)
% 19.90/5.09 | (1101) all_0_222_222 = e10
% 19.90/5.09 |
% 19.90/5.09 | Equations (1101) can reduce 99 to:
% 19.90/5.09 | (1880) ~ (all_0_223_223 = e10)
% 19.90/5.09 |
% 19.90/5.09 | Simplifying 1880 yields:
% 19.90/5.09 | (1881) ~ (all_0_223_223 = e10)
% 19.90/5.09 |
% 19.90/5.09 | Equations (1101) can reduce 308 to:
% 19.90/5.09 | (1104) ~ (all_0_227_227 = e10)
% 19.90/5.09 |
% 19.90/5.09 | Simplifying 1104 yields:
% 19.90/5.09 | (1105) ~ (all_0_227_227 = e10)
% 19.90/5.09 |
% 19.90/5.09 | Equations (1101) can reduce 633 to:
% 19.90/5.09 | (1292) ~ (e13 = e10)
% 19.90/5.09 |
% 19.90/5.09 | Simplifying 1292 yields:
% 19.90/5.09 | (175) ~ (e13 = e10)
% 19.90/5.09 |
% 19.90/5.09 +-Applying beta-rule and splitting (387), into two cases.
% 19.90/5.09 |-Branch one:
% 19.90/5.09 | (1130) all_0_227_227 = e11
% 19.90/5.09 |
% 19.90/5.09 | Equations (1130) can reduce 1060 to:
% 19.90/5.09 | (709) $false
% 19.90/5.09 |
% 19.90/5.09 |-The branch is then unsatisfiable
% 19.90/5.09 |-Branch two:
% 19.90/5.09 | (1060) ~ (all_0_227_227 = e11)
% 19.90/5.09 | (1133) all_0_227_227 = e12 | all_0_227_227 = e10
% 19.90/5.09 |
% 19.90/5.09 +-Applying beta-rule and splitting (1133), into two cases.
% 19.90/5.09 |-Branch one:
% 19.90/5.09 | (1784) all_0_227_227 = e12
% 19.90/5.09 |
% 19.90/5.09 | Equations (1784) can reduce 359 to:
% 19.90/5.09 | (1265) ~ (e13 = e12)
% 19.90/5.09 |
% 19.90/5.09 | Simplifying 1265 yields:
% 19.90/5.09 | (584) ~ (e13 = e12)
% 19.90/5.09 |
% 19.90/5.09 | Equations (1784) can reduce 1060 to:
% 19.90/5.09 | (381) ~ (e12 = e11)
% 19.90/5.09 |
% 19.90/5.09 | Instantiating formula (406) with e14, e11, e14, all_0_212_212 and discharging atoms op1(e14, e11) = all_0_212_212, op1(e14, e11) = e14, yields:
% 19.90/5.09 | (1464) all_0_212_212 = e14
% 19.90/5.09 |
% 19.90/5.09 | Equations (1464) can reduce 366 to:
% 19.90/5.09 | (1517) ~ (all_0_210_210 = e14)
% 19.90/5.09 |
% 19.90/5.09 +-Applying beta-rule and splitting (173), into two cases.
% 19.90/5.09 |-Branch one:
% 19.90/5.09 | (1579) all_0_211_211 = e12
% 19.90/5.09 |
% 19.90/5.09 | Combining equations (1579,1051) yields a new equation:
% 19.90/5.09 | (1232) e12 = e11
% 19.90/5.09 |
% 19.90/5.09 | Simplifying 1232 yields:
% 19.90/5.09 | (1233) e12 = e11
% 19.90/5.09 |
% 19.90/5.09 | Equations (1233) can reduce 381 to:
% 19.90/5.09 | (709) $false
% 19.90/5.09 |
% 19.90/5.09 |-The branch is then unsatisfiable
% 19.90/5.09 |-Branch two:
% 19.90/5.09 | (1583) ~ (all_0_211_211 = e12)
% 19.90/5.09 | (1632) all_0_212_212 = e12 | all_0_213_213 = e12
% 19.90/5.09 |
% 19.90/5.09 +-Applying beta-rule and splitting (157), into two cases.
% 19.90/5.09 |-Branch one:
% 19.90/5.09 | (1148) all_0_223_223 = e11
% 19.90/5.09 |
% 19.90/5.09 +-Applying beta-rule and splitting (138), into two cases.
% 19.90/5.09 |-Branch one:
% 19.90/5.09 | (1142) all_0_210_210 = e11
% 19.90/5.09 |
% 19.90/5.09 | Equations (1142) can reduce 1052 to:
% 19.90/5.09 | (709) $false
% 19.90/5.09 |
% 19.90/5.09 |-The branch is then unsatisfiable
% 19.90/5.09 |-Branch two:
% 19.90/5.09 | (1052) ~ (all_0_210_210 = e11)
% 19.90/5.09 | (1906) all_0_210_210 = e14 | all_0_210_210 = e13
% 19.90/5.09 |
% 19.90/5.09 +-Applying beta-rule and splitting (26), into two cases.
% 19.90/5.09 |-Branch one:
% 19.90/5.09 | (1068) ~ (all_0_215_215 = e10)
% 19.90/5.09 |
% 19.90/5.09 | Equations (1316) can reduce 1068 to:
% 19.90/5.09 | (709) $false
% 19.90/5.09 |
% 19.90/5.09 |-The branch is then unsatisfiable
% 19.90/5.09 |-Branch two:
% 19.90/5.09 | (1316) all_0_215_215 = e10
% 19.90/5.09 | (1910) ( ~ (all_0_210_210 = e13) & ~ (all_0_211_211 = e12) & ~ (all_0_212_212 = e11)) | ( ~ (all_0_216_216 = e14) & ~ (all_0_218_218 = e11) & ~ (all_0_219_219 = e10)) | ( ~ (all_0_220_220 = e14) & ~ (all_0_221_221 = e13) & ~ (all_0_222_222 = e12) & ~ (all_0_223_223 = e11) & ~ (all_0_224_224 = e10)) | ( ~ (all_0_226_226 = e13) & ~ (all_0_227_227 = e12) & ~ (all_0_228_228 = e11))
% 19.90/5.09 |
% 19.90/5.09 +-Applying beta-rule and splitting (243), into two cases.
% 19.90/5.09 |-Branch one:
% 19.90/5.09 | (1811) all_0_210_210 = e13
% 19.90/5.09 |
% 19.90/5.09 +-Applying beta-rule and splitting (1910), into two cases.
% 19.90/5.09 |-Branch one:
% 19.90/5.09 | (1912) ( ~ (all_0_210_210 = e13) & ~ (all_0_211_211 = e12) & ~ (all_0_212_212 = e11)) | ( ~ (all_0_216_216 = e14) & ~ (all_0_218_218 = e11) & ~ (all_0_219_219 = e10)) | ( ~ (all_0_220_220 = e14) & ~ (all_0_221_221 = e13) & ~ (all_0_222_222 = e12) & ~ (all_0_223_223 = e11) & ~ (all_0_224_224 = e10))
% 19.90/5.09 |
% 19.90/5.09 +-Applying beta-rule and splitting (1912), into two cases.
% 19.90/5.09 |-Branch one:
% 19.90/5.09 | (1913) ( ~ (all_0_210_210 = e13) & ~ (all_0_211_211 = e12) & ~ (all_0_212_212 = e11)) | ( ~ (all_0_216_216 = e14) & ~ (all_0_218_218 = e11) & ~ (all_0_219_219 = e10))
% 19.90/5.09 |
% 19.90/5.09 +-Applying beta-rule and splitting (1913), into two cases.
% 19.90/5.09 |-Branch one:
% 19.90/5.09 | (1914) ~ (all_0_210_210 = e13) & ~ (all_0_211_211 = e12) & ~ (all_0_212_212 = e11)
% 19.90/5.09 |
% 19.90/5.09 | Applying alpha-rule on (1914) yields:
% 19.90/5.09 | (1615) ~ (all_0_210_210 = e13)
% 19.90/5.09 | (1583) ~ (all_0_211_211 = e12)
% 19.90/5.09 | (1054) ~ (all_0_212_212 = e11)
% 19.90/5.09 |
% 19.90/5.09 | Equations (1811) can reduce 1615 to:
% 19.90/5.09 | (709) $false
% 19.90/5.09 |
% 19.90/5.09 |-The branch is then unsatisfiable
% 19.90/5.09 |-Branch two:
% 19.90/5.09 | (1919) ~ (all_0_216_216 = e14) & ~ (all_0_218_218 = e11) & ~ (all_0_219_219 = e10)
% 19.90/5.09 |
% 19.90/5.09 | Applying alpha-rule on (1919) yields:
% 19.90/5.09 | (1276) ~ (all_0_216_216 = e14)
% 19.90/5.09 | (1138) ~ (all_0_218_218 = e11)
% 19.90/5.09 | (1291) ~ (all_0_219_219 = e10)
% 19.90/5.09 |
% 19.90/5.09 | Equations (1211) can reduce 1276 to:
% 19.90/5.09 | (709) $false
% 19.90/5.09 |
% 19.90/5.09 |-The branch is then unsatisfiable
% 19.90/5.09 |-Branch two:
% 19.90/5.09 | (1924) ~ (all_0_220_220 = e14) & ~ (all_0_221_221 = e13) & ~ (all_0_222_222 = e12) & ~ (all_0_223_223 = e11) & ~ (all_0_224_224 = e10)
% 19.90/5.09 |
% 19.90/5.09 | Applying alpha-rule on (1924) yields:
% 19.90/5.09 | (1542) ~ (all_0_222_222 = e12)
% 19.90/5.09 | (1473) ~ (all_0_223_223 = e11)
% 19.90/5.09 | (1830) ~ (all_0_221_221 = e13)
% 19.90/5.09 | (1103) ~ (all_0_224_224 = e10)
% 19.90/5.09 | (1653) ~ (all_0_220_220 = e14)
% 19.90/5.09 |
% 19.90/5.09 | Equations (1148) can reduce 1473 to:
% 19.90/5.09 | (709) $false
% 19.90/5.09 |
% 19.90/5.09 |-The branch is then unsatisfiable
% 19.90/5.09 |-Branch two:
% 19.90/5.09 | (1931) ~ (all_0_226_226 = e13) & ~ (all_0_227_227 = e12) & ~ (all_0_228_228 = e11)
% 19.90/5.09 |
% 19.90/5.09 | Applying alpha-rule on (1931) yields:
% 19.90/5.09 | (1247) ~ (all_0_226_226 = e13)
% 19.90/5.09 | (1576) ~ (all_0_227_227 = e12)
% 19.90/5.09 | (1254) ~ (all_0_228_228 = e11)
% 19.90/5.09 |
% 19.90/5.09 | Equations (1784) can reduce 1576 to:
% 19.90/5.09 | (709) $false
% 19.90/5.09 |
% 19.90/5.09 |-The branch is then unsatisfiable
% 19.90/5.09 |-Branch two:
% 19.90/5.09 | (1615) ~ (all_0_210_210 = e13)
% 19.90/5.09 | (1821) all_0_212_212 = e13 | all_0_213_213 = e13
% 19.90/5.09 |
% 19.90/5.09 +-Applying beta-rule and splitting (181), into two cases.
% 19.90/5.09 |-Branch one:
% 19.90/5.09 | (1811) all_0_210_210 = e13
% 19.90/5.09 |
% 19.90/5.09 | Equations (1811) can reduce 1615 to:
% 19.90/5.09 | (709) $false
% 19.90/5.09 |
% 19.90/5.09 |-The branch is then unsatisfiable
% 19.90/5.09 |-Branch two:
% 19.90/5.09 | (1615) ~ (all_0_210_210 = e13)
% 19.90/5.09 | (1815) all_0_221_221 = e13 | all_0_226_226 = e13
% 19.90/5.09 |
% 19.90/5.09 +-Applying beta-rule and splitting (42), into two cases.
% 19.90/5.09 |-Branch one:
% 19.90/5.09 | (1302) all_0_210_210 = e14
% 19.90/5.09 |
% 19.90/5.09 | Equations (1302) can reduce 1517 to:
% 19.90/5.09 | (709) $false
% 19.90/5.09 |
% 19.90/5.09 |-The branch is then unsatisfiable
% 19.90/5.09 |-Branch two:
% 19.90/5.09 | (1517) ~ (all_0_210_210 = e14)
% 19.90/5.09 | (1945) all_0_217_217 = e14 | all_0_221_221 = e14
% 19.90/5.09 |
% 19.90/5.09 +-Applying beta-rule and splitting (1906), into two cases.
% 19.90/5.09 |-Branch one:
% 19.90/5.09 | (1811) all_0_210_210 = e13
% 19.90/5.09 |
% 19.90/5.09 | Equations (1811) can reduce 1615 to:
% 19.90/5.09 | (709) $false
% 19.90/5.09 |
% 19.90/5.09 |-The branch is then unsatisfiable
% 19.90/5.09 |-Branch two:
% 19.90/5.09 | (1615) ~ (all_0_210_210 = e13)
% 19.90/5.09 | (1302) all_0_210_210 = e14
% 19.90/5.09 |
% 19.90/5.09 | Equations (1302) can reduce 1517 to:
% 19.90/5.09 | (709) $false
% 19.90/5.09 |
% 19.90/5.09 |-The branch is then unsatisfiable
% 19.90/5.09 |-Branch two:
% 19.90/5.09 | (1473) ~ (all_0_223_223 = e11)
% 19.90/5.09 | (1474) all_0_223_223 = e14 | all_0_223_223 = e13 | all_0_223_223 = e12 | all_0_223_223 = e10
% 19.90/5.09 |
% 19.90/5.09 +-Applying beta-rule and splitting (42), into two cases.
% 19.90/5.09 |-Branch one:
% 19.90/5.09 | (1302) all_0_210_210 = e14
% 19.90/5.09 |
% 19.90/5.09 | Equations (1302) can reduce 1517 to:
% 19.90/5.09 | (709) $false
% 19.90/5.09 |
% 19.90/5.09 |-The branch is then unsatisfiable
% 19.90/5.09 |-Branch two:
% 19.90/5.09 | (1517) ~ (all_0_210_210 = e14)
% 19.90/5.09 | (1945) all_0_217_217 = e14 | all_0_221_221 = e14
% 19.90/5.09 |
% 19.90/5.09 +-Applying beta-rule and splitting (1945), into two cases.
% 19.90/5.09 |-Branch one:
% 19.90/5.09 | (1957) all_0_217_217 = e14
% 19.90/5.09 |
% 19.90/5.09 | Equations (1957) can reduce 1862 to:
% 19.90/5.09 | (709) $false
% 19.90/5.09 |
% 19.90/5.09 |-The branch is then unsatisfiable
% 19.90/5.09 |-Branch two:
% 19.90/5.09 | (1862) ~ (all_0_217_217 = e14)
% 19.90/5.09 | (1709) all_0_221_221 = e14
% 19.90/5.09 |
% 19.90/5.09 | Equations (1709) can reduce 13 to:
% 19.90/5.09 | (1961) ~ (all_0_223_223 = e14)
% 19.90/5.09 |
% 19.90/5.09 | Simplifying 1961 yields:
% 19.90/5.10 | (1962) ~ (all_0_223_223 = e14)
% 19.90/5.10 |
% 19.90/5.10 | Equations (1709) can reduce 638 to:
% 19.90/5.10 | (616) ~ (e14 = e12)
% 19.90/5.10 |
% 19.90/5.10 +-Applying beta-rule and splitting (1632), into two cases.
% 19.90/5.10 |-Branch one:
% 19.90/5.10 | (1213) all_0_212_212 = e12
% 19.90/5.10 |
% 19.90/5.10 | Combining equations (1213,1464) yields a new equation:
% 19.90/5.10 | (1219) e14 = e12
% 19.90/5.10 |
% 19.90/5.10 | Equations (1219) can reduce 616 to:
% 19.90/5.10 | (709) $false
% 19.90/5.10 |
% 19.90/5.10 |-The branch is then unsatisfiable
% 19.90/5.10 |-Branch two:
% 19.90/5.10 | (1087) ~ (all_0_212_212 = e12)
% 19.90/5.10 | (1086) all_0_213_213 = e12
% 19.90/5.10 |
% 19.90/5.10 +-Applying beta-rule and splitting (111), into two cases.
% 19.90/5.10 |-Branch one:
% 19.90/5.10 | (1546) all_0_213_213 = e13
% 19.90/5.10 |
% 19.90/5.10 | Combining equations (1546,1086) yields a new equation:
% 19.90/5.10 | (1970) e13 = e12
% 19.90/5.10 |
% 19.90/5.10 | Simplifying 1970 yields:
% 19.90/5.10 | (1230) e13 = e12
% 19.90/5.10 |
% 19.90/5.10 | Equations (1230) can reduce 584 to:
% 19.90/5.10 | (709) $false
% 19.90/5.10 |
% 19.90/5.10 |-The branch is then unsatisfiable
% 19.90/5.10 |-Branch two:
% 19.90/5.10 | (1075) ~ (all_0_213_213 = e13)
% 19.90/5.10 | (1776) all_0_215_215 = e13 | all_0_224_224 = e13
% 19.90/5.10 |
% 19.90/5.10 +-Applying beta-rule and splitting (1776), into two cases.
% 19.90/5.10 |-Branch one:
% 19.90/5.10 | (1074) all_0_215_215 = e13
% 19.90/5.10 |
% 19.90/5.10 | Combining equations (1074,1316) yields a new equation:
% 19.90/5.10 | (1317) e13 = e10
% 19.90/5.10 |
% 19.90/5.10 | Simplifying 1317 yields:
% 19.90/5.10 | (1318) e13 = e10
% 19.90/5.10 |
% 19.90/5.10 | Equations (1318) can reduce 175 to:
% 19.90/5.10 | (709) $false
% 19.90/5.10 |
% 19.90/5.10 |-The branch is then unsatisfiable
% 19.90/5.10 |-Branch two:
% 19.90/5.10 | (1548) ~ (all_0_215_215 = e13)
% 19.90/5.10 | (1170) all_0_224_224 = e13
% 19.90/5.10 |
% 19.90/5.10 | Equations (1170) can reduce 530 to:
% 19.90/5.10 | (1981) ~ (all_0_223_223 = e13)
% 19.90/5.10 |
% 19.90/5.10 +-Applying beta-rule and splitting (1474), into two cases.
% 19.90/5.10 |-Branch one:
% 19.90/5.10 | (1982) all_0_223_223 = e12
% 19.90/5.10 |
% 19.90/5.10 | Equations (1982) can reduce 1871 to:
% 19.90/5.10 | (709) $false
% 19.90/5.10 |
% 19.90/5.10 |-The branch is then unsatisfiable
% 19.90/5.10 |-Branch two:
% 19.90/5.10 | (1871) ~ (all_0_223_223 = e12)
% 19.90/5.10 | (1985) all_0_223_223 = e14 | all_0_223_223 = e13 | all_0_223_223 = e10
% 19.90/5.10 |
% 19.90/5.10 +-Applying beta-rule and splitting (1985), into two cases.
% 19.90/5.10 |-Branch one:
% 19.90/5.10 | (1986) all_0_223_223 = e13
% 19.90/5.10 |
% 19.90/5.10 | Equations (1986) can reduce 1981 to:
% 19.90/5.10 | (709) $false
% 19.90/5.10 |
% 19.90/5.10 |-The branch is then unsatisfiable
% 19.90/5.10 |-Branch two:
% 19.90/5.10 | (1981) ~ (all_0_223_223 = e13)
% 19.90/5.10 | (1989) all_0_223_223 = e14 | all_0_223_223 = e10
% 19.90/5.10 |
% 19.90/5.10 +-Applying beta-rule and splitting (1989), into two cases.
% 19.90/5.10 |-Branch one:
% 19.90/5.10 | (1149) all_0_223_223 = e10
% 19.90/5.10 |
% 19.90/5.10 | Equations (1149) can reduce 1881 to:
% 19.90/5.10 | (709) $false
% 19.90/5.10 |
% 19.90/5.10 |-The branch is then unsatisfiable
% 19.90/5.10 |-Branch two:
% 19.90/5.10 | (1881) ~ (all_0_223_223 = e10)
% 19.90/5.10 | (1713) all_0_223_223 = e14
% 19.90/5.10 |
% 19.90/5.10 | Equations (1713) can reduce 1962 to:
% 19.90/5.10 | (709) $false
% 19.90/5.10 |
% 19.90/5.10 |-The branch is then unsatisfiable
% 19.90/5.10 |-Branch two:
% 19.90/5.10 | (1576) ~ (all_0_227_227 = e12)
% 19.90/5.10 | (1177) all_0_227_227 = e10
% 19.90/5.10 |
% 19.90/5.10 | Equations (1177) can reduce 1105 to:
% 19.90/5.10 | (709) $false
% 19.90/5.10 |
% 19.90/5.10 |-The branch is then unsatisfiable
% 19.90/5.10 |-Branch two:
% 19.90/5.10 | (1196) ~ (all_0_220_220 = e12)
% 19.90/5.10 | (1999) all_0_220_220 = e14 | all_0_220_220 = e13
% 19.90/5.10 |
% 19.90/5.10 +-Applying beta-rule and splitting (554), into two cases.
% 19.90/5.10 |-Branch one:
% 19.90/5.10 | (1208) all_0_216_216 = e12
% 19.90/5.10 |
% 19.90/5.10 | Combining equations (1208,1211) yields a new equation:
% 19.90/5.10 | (1219) e14 = e12
% 19.90/5.10 |
% 19.90/5.10 | Equations (1219) can reduce 616 to:
% 19.90/5.10 | (709) $false
% 19.90/5.10 |
% 19.90/5.10 |-The branch is then unsatisfiable
% 19.90/5.10 |-Branch two:
% 19.90/5.10 | (1205) ~ (all_0_216_216 = e12)
% 19.90/5.10 | (1521) all_0_220_220 = e12 | all_0_225_225 = e12
% 19.90/5.10 |
% 19.90/5.10 +-Applying beta-rule and splitting (1521), into two cases.
% 19.90/5.10 |-Branch one:
% 19.90/5.10 | (1522) all_0_220_220 = e12
% 19.90/5.10 |
% 19.90/5.10 | Equations (1522) can reduce 1196 to:
% 19.90/5.10 | (709) $false
% 19.90/5.10 |
% 19.90/5.10 |-The branch is then unsatisfiable
% 19.90/5.10 |-Branch two:
% 19.90/5.10 | (1196) ~ (all_0_220_220 = e12)
% 19.90/5.10 | (1204) all_0_225_225 = e12
% 19.90/5.10 |
% 19.90/5.10 | Combining equations (1204,1245) yields a new equation:
% 19.90/5.10 | (1230) e13 = e12
% 19.90/5.10 |
% 19.90/5.10 | Equations (1230) can reduce 584 to:
% 19.90/5.10 | (709) $false
% 19.90/5.10 |
% 19.90/5.10 |-The branch is then unsatisfiable
% 19.90/5.10 |-Branch two:
% 19.90/5.10 | (2011) ~ (all_0_214_214 = e13)
% 19.90/5.10 | (1074) all_0_215_215 = e13
% 19.90/5.10 |
% 19.90/5.10 | Combining equations (1074,1316) yields a new equation:
% 19.90/5.10 | (1317) e13 = e10
% 19.90/5.10 |
% 19.90/5.10 | Simplifying 1317 yields:
% 19.90/5.10 | (1318) e13 = e10
% 19.90/5.10 |
% 19.90/5.10 | Equations (1318) can reduce 175 to:
% 19.90/5.10 | (709) $false
% 19.90/5.10 |
% 19.90/5.10 |-The branch is then unsatisfiable
% 19.90/5.10 |-Branch two:
% 19.90/5.10 | (2016) ~ (all_0_211_211 = e11)
% 19.90/5.10 | (1579) all_0_211_211 = e12
% 19.90/5.10 |
% 19.90/5.10 | Equations (1579) can reduce 262 to:
% 19.90/5.10 | (2018) ~ (all_0_213_213 = e12)
% 19.90/5.10 |
% 19.90/5.10 | Simplifying 2018 yields:
% 19.90/5.10 | (1545) ~ (all_0_213_213 = e12)
% 19.90/5.10 |
% 19.90/5.10 | Equations (1579) can reduce 266 to:
% 19.90/5.10 | (1575) ~ (all_0_227_227 = e12)
% 19.90/5.10 |
% 19.90/5.10 | Simplifying 1575 yields:
% 19.90/5.10 | (1576) ~ (all_0_227_227 = e12)
% 19.90/5.10 |
% 19.90/5.10 | From (1579) and (417) follows:
% 19.90/5.10 | (2022) op1(e12, all_0_216_216) = e12
% 19.90/5.10 |
% 19.90/5.10 | From (1579) and (365) follows:
% 19.90/5.10 | (2023) op1(all_0_216_216, e12) = e14
% 19.90/5.10 |
% 19.90/5.10 +-Applying beta-rule and splitting (93), into two cases.
% 19.90/5.10 |-Branch one:
% 19.90/5.10 | (1066) all_0_214_214 = e10
% 19.90/5.10 |
% 19.90/5.10 | Equations (1066) can reduce 649 to:
% 19.90/5.10 | (1067) ~ (all_0_215_215 = e10)
% 19.90/5.10 |
% 19.90/5.10 | Simplifying 1067 yields:
% 19.90/5.10 | (1068) ~ (all_0_215_215 = e10)
% 19.90/5.10 |
% 19.90/5.10 | Equations (1066) can reduce 405 to:
% 19.90/5.10 | (1071) ~ (all_0_228_228 = e10)
% 19.90/5.10 |
% 19.90/5.10 | Simplifying 1071 yields:
% 19.90/5.10 | (1072) ~ (all_0_228_228 = e10)
% 19.90/5.10 |
% 19.90/5.10 +-Applying beta-rule and splitting (631), into two cases.
% 19.90/5.10 |-Branch one:
% 19.90/5.10 | (1074) all_0_215_215 = e13
% 19.90/5.10 |
% 19.90/5.10 | Equations (1074) can reduce 442 to:
% 19.90/5.10 | (1075) ~ (all_0_213_213 = e13)
% 19.90/5.10 |
% 19.90/5.10 | Equations (1074) can reduce 361 to:
% 19.90/5.10 | (1076) ~ (all_0_219_219 = e13)
% 19.90/5.10 |
% 19.90/5.10 | Simplifying 1076 yields:
% 19.90/5.10 | (409) ~ (all_0_219_219 = e13)
% 19.90/5.10 |
% 19.90/5.10 | From (1074) and (261) follows:
% 19.90/5.10 | (1080) op1(all_0_226_226, e13) = e13
% 19.90/5.10 |
% 19.90/5.10 +-Applying beta-rule and splitting (523), into two cases.
% 19.90/5.10 |-Branch one:
% 19.90/5.10 | (1082) all_0_213_213 = e11
% 19.90/5.10 |
% 19.90/5.10 | Equations (1082) can reduce 256 to:
% 19.90/5.10 | (1054) ~ (all_0_212_212 = e11)
% 19.90/5.10 |
% 19.90/5.10 | Equations (1082) can reduce 1545 to:
% 19.90/5.10 | (1480) ~ (e12 = e11)
% 19.90/5.10 |
% 19.90/5.10 | Simplifying 1480 yields:
% 19.90/5.10 | (381) ~ (e12 = e11)
% 19.90/5.10 |
% 19.90/5.10 | Equations (1082) can reduce 385 to:
% 19.90/5.10 | (368) ~ (e11 = e10)
% 19.90/5.10 |
% 19.90/5.10 | From (1082) and (73) follows:
% 19.90/5.10 | (2039) op1(e11, all_0_225_225) = e10
% 19.90/5.10 |
% 19.90/5.10 +-Applying beta-rule and splitting (626), into two cases.
% 19.90/5.10 |-Branch one:
% 19.90/5.10 | (1101) all_0_222_222 = e10
% 19.90/5.10 |
% 19.90/5.10 | Equations (1101) can reduce 389 to:
% 19.90/5.10 | (1102) ~ (all_0_224_224 = e10)
% 19.90/5.10 |
% 19.90/5.10 | Simplifying 1102 yields:
% 19.90/5.10 | (1103) ~ (all_0_224_224 = e10)
% 19.90/5.10 |
% 19.90/5.10 | Equations (1101) can reduce 308 to:
% 19.90/5.10 | (1104) ~ (all_0_227_227 = e10)
% 19.90/5.10 |
% 19.90/5.10 | Simplifying 1104 yields:
% 19.90/5.10 | (1105) ~ (all_0_227_227 = e10)
% 19.90/5.10 |
% 19.90/5.10 | Equations (1101) can reduce 633 to:
% 19.90/5.10 | (1292) ~ (e13 = e10)
% 19.90/5.10 |
% 19.90/5.10 | Simplifying 1292 yields:
% 19.90/5.10 | (175) ~ (e13 = e10)
% 19.90/5.10 |
% 19.90/5.10 +-Applying beta-rule and splitting (22), into two cases.
% 19.90/5.10 |-Branch one:
% 19.90/5.10 | (1106) all_0_226_226 = e10
% 19.90/5.10 |
% 19.90/5.10 | From (1106) and (1080) follows:
% 19.90/5.10 | (2048) op1(e10, e13) = e13
% 19.90/5.10 |
% 19.90/5.10 | From (1106) and (428) follows:
% 19.90/5.10 | (2049) op1(e10, e13) = e10
% 19.90/5.10 |
% 19.90/5.10 +-Applying beta-rule and splitting (277), into two cases.
% 19.90/5.10 |-Branch one:
% 19.90/5.10 | (1316) all_0_215_215 = e10
% 19.90/5.10 |
% 19.90/5.10 | Combining equations (1074,1316) yields a new equation:
% 19.90/5.10 | (1317) e13 = e10
% 19.90/5.10 |
% 19.90/5.10 | Simplifying 1317 yields:
% 19.90/5.10 | (1318) e13 = e10
% 19.90/5.10 |
% 19.90/5.10 | Equations (1318) can reduce 175 to:
% 19.90/5.10 | (709) $false
% 19.90/5.10 |
% 19.90/5.10 |-The branch is then unsatisfiable
% 19.90/5.10 |-Branch two:
% 19.90/5.10 | (1068) ~ (all_0_215_215 = e10)
% 19.90/5.10 | (1321) all_0_219_219 = e10 | all_0_224_224 = e10
% 19.90/5.10 |
% 19.90/5.10 +-Applying beta-rule and splitting (1321), into two cases.
% 19.90/5.10 |-Branch one:
% 19.90/5.10 | (1121) all_0_219_219 = e10
% 19.90/5.10 |
% 19.90/5.10 | Equations (1121) can reduce 409 to:
% 19.90/5.10 | (1292) ~ (e13 = e10)
% 19.90/5.10 |
% 19.90/5.10 | Simplifying 1292 yields:
% 19.90/5.10 | (175) ~ (e13 = e10)
% 19.90/5.10 |
% 19.90/5.10 | Instantiating formula (406) with e10, e13, e10, e13 and discharging atoms op1(e10, e13) = e13, op1(e10, e13) = e10, yields:
% 19.90/5.10 | (1318) e13 = e10
% 19.90/5.10 |
% 19.90/5.10 | Equations (1318) can reduce 175 to:
% 19.90/5.10 | (709) $false
% 19.90/5.10 |
% 19.90/5.11 |-The branch is then unsatisfiable
% 19.90/5.11 |-Branch two:
% 19.90/5.11 | (1291) ~ (all_0_219_219 = e10)
% 19.90/5.11 | (1173) all_0_224_224 = e10
% 19.90/5.11 |
% 19.90/5.11 | Equations (1173) can reduce 1103 to:
% 19.90/5.11 | (709) $false
% 19.90/5.11 |
% 19.90/5.11 |-The branch is then unsatisfiable
% 19.90/5.11 |-Branch two:
% 19.90/5.11 | (1175) ~ (all_0_226_226 = e10)
% 19.90/5.11 | (1176) all_0_227_227 = e10 | all_0_228_228 = e10
% 19.90/5.11 |
% 19.90/5.11 +-Applying beta-rule and splitting (1176), into two cases.
% 19.90/5.11 |-Branch one:
% 19.90/5.11 | (1177) all_0_227_227 = e10
% 19.90/5.11 |
% 19.90/5.11 | Equations (1177) can reduce 1105 to:
% 19.90/5.11 | (709) $false
% 19.90/5.11 |
% 19.90/5.11 |-The branch is then unsatisfiable
% 19.90/5.11 |-Branch two:
% 19.90/5.11 | (1105) ~ (all_0_227_227 = e10)
% 19.90/5.11 | (1180) all_0_228_228 = e10
% 19.90/5.11 |
% 19.90/5.11 | Equations (1180) can reduce 1072 to:
% 19.90/5.11 | (709) $false
% 19.90/5.11 |
% 19.90/5.11 |-The branch is then unsatisfiable
% 19.90/5.11 |-Branch two:
% 19.90/5.11 | (1182) ~ (all_0_222_222 = e10)
% 19.90/5.11 | (1177) all_0_227_227 = e10
% 19.90/5.11 |
% 19.90/5.11 | Equations (1177) can reduce 308 to:
% 19.90/5.11 | (1182) ~ (all_0_222_222 = e10)
% 19.90/5.11 |
% 19.90/5.11 | Equations (1177) can reduce 460 to:
% 19.90/5.11 | (1175) ~ (all_0_226_226 = e10)
% 19.90/5.11 |
% 19.90/5.11 | Equations (1177) can reduce 660 to:
% 19.90/5.11 | (1071) ~ (all_0_228_228 = e10)
% 19.90/5.11 |
% 19.90/5.11 | Simplifying 1071 yields:
% 19.90/5.11 | (1072) ~ (all_0_228_228 = e10)
% 19.90/5.11 |
% 19.90/5.11 +-Applying beta-rule and splitting (169), into two cases.
% 19.90/5.11 |-Branch one:
% 19.90/5.11 | (1051) all_0_211_211 = e11
% 19.90/5.11 |
% 19.90/5.11 | Combining equations (1051,1579) yields a new equation:
% 19.90/5.11 | (1233) e12 = e11
% 19.90/5.11 |
% 19.90/5.11 | Equations (1233) can reduce 381 to:
% 19.90/5.11 | (709) $false
% 19.90/5.11 |
% 19.90/5.11 |-The branch is then unsatisfiable
% 19.90/5.11 |-Branch two:
% 19.90/5.11 | (2016) ~ (all_0_211_211 = e11)
% 19.90/5.11 | (2081) all_0_222_222 = e11 | all_0_227_227 = e11
% 19.90/5.11 |
% 19.90/5.11 +-Applying beta-rule and splitting (510), into two cases.
% 19.90/5.11 |-Branch one:
% 19.90/5.11 | (1191) all_0_222_222 = e11
% 19.90/5.11 |
% 19.90/5.11 | Equations (1191) can reduce 99 to:
% 19.90/5.11 | (2083) ~ (all_0_223_223 = e11)
% 19.90/5.11 |
% 19.90/5.11 | Simplifying 2083 yields:
% 19.90/5.11 | (1473) ~ (all_0_223_223 = e11)
% 19.90/5.11 |
% 19.90/5.11 | Equations (1191) can reduce 1182 to:
% 19.90/5.11 | (368) ~ (e11 = e10)
% 19.90/5.11 |
% 19.90/5.11 | From (1191) and (89) follows:
% 19.90/5.11 | (2086) op1(all_0_218_218, e11) = e11
% 19.90/5.11 |
% 19.90/5.11 | From (1191) and (63) follows:
% 19.90/5.11 | (2087) op1(e11, all_0_218_218) = e12
% 19.90/5.11 |
% 19.90/5.11 | From (1191) and (591) follows:
% 19.90/5.11 | (2088) op1(e11, e12) = e11
% 19.90/5.11 |
% 19.90/5.11 +-Applying beta-rule and splitting (131), into two cases.
% 19.90/5.11 |-Branch one:
% 19.90/5.11 | (1204) all_0_225_225 = e12
% 19.90/5.11 |
% 19.90/5.11 | From (1204) and (2039) follows:
% 19.90/5.11 | (2090) op1(e11, e12) = e10
% 19.90/5.11 |
% 19.90/5.11 | Instantiating formula (406) with e11, e12, e10, e11 and discharging atoms op1(e11, e12) = e11, op1(e11, e12) = e10, yields:
% 19.90/5.11 | (1126) e11 = e10
% 19.90/5.11 |
% 19.90/5.11 | Equations (1126) can reduce 368 to:
% 19.90/5.11 | (709) $false
% 19.90/5.11 |
% 19.90/5.11 |-The branch is then unsatisfiable
% 19.90/5.11 |-Branch two:
% 19.90/5.11 | (1244) ~ (all_0_225_225 = e12)
% 19.90/5.11 | (1245) all_0_225_225 = e13
% 19.90/5.11 |
% 19.90/5.11 | Equations (1245) can reduce 124 to:
% 19.90/5.11 | (1246) ~ (all_0_226_226 = e13)
% 19.90/5.11 |
% 19.90/5.11 | Simplifying 1246 yields:
% 19.90/5.11 | (1247) ~ (all_0_226_226 = e13)
% 19.90/5.11 |
% 19.90/5.11 | Equations (1245) can reduce 603 to:
% 19.90/5.11 | (1248) ~ (all_0_228_228 = e13)
% 19.90/5.11 |
% 19.90/5.11 | Simplifying 1248 yields:
% 19.90/5.11 | (1249) ~ (all_0_228_228 = e13)
% 19.90/5.11 |
% 19.90/5.11 +-Applying beta-rule and splitting (332), into two cases.
% 19.90/5.11 |-Branch one:
% 19.90/5.11 | (1125) all_0_226_226 = e11
% 19.90/5.11 |
% 19.90/5.11 | Equations (1125) can reduce 71 to:
% 19.90/5.11 | (1253) ~ (all_0_228_228 = e11)
% 19.90/5.11 |
% 19.90/5.11 | Simplifying 1253 yields:
% 19.90/5.11 | (1254) ~ (all_0_228_228 = e11)
% 19.90/5.11 |
% 19.90/5.11 +-Applying beta-rule and splitting (455), into two cases.
% 19.90/5.11 |-Branch one:
% 19.90/5.11 | (1137) all_0_228_228 = e11
% 19.90/5.11 |
% 19.90/5.11 | Equations (1137) can reduce 1254 to:
% 19.90/5.11 | (709) $false
% 19.90/5.11 |
% 19.90/5.11 |-The branch is then unsatisfiable
% 19.90/5.11 |-Branch two:
% 19.90/5.11 | (1254) ~ (all_0_228_228 = e11)
% 19.90/5.11 | (1260) all_0_228_228 = e13 | all_0_228_228 = e12 | all_0_228_228 = e10
% 19.90/5.11 |
% 19.90/5.11 +-Applying beta-rule and splitting (1260), into two cases.
% 19.90/5.11 |-Branch one:
% 19.90/5.11 | (1261) all_0_228_228 = e12
% 19.90/5.11 |
% 19.90/5.11 | Equations (1261) can reduce 39 to:
% 19.90/5.11 | (1237) ~ (all_0_218_218 = e12)
% 19.90/5.11 |
% 19.90/5.11 | Equations (1261) can reduce 1254 to:
% 19.90/5.11 | (381) ~ (e12 = e11)
% 19.90/5.11 |
% 19.90/5.11 +-Applying beta-rule and splitting (396), into two cases.
% 19.90/5.11 |-Branch one:
% 19.90/5.11 | (1312) all_0_212_212 = e11
% 19.90/5.11 |
% 19.90/5.11 | Equations (1312) can reduce 1054 to:
% 19.90/5.11 | (709) $false
% 19.90/5.11 |
% 19.90/5.11 |-The branch is then unsatisfiable
% 19.90/5.11 |-Branch two:
% 19.90/5.11 | (1054) ~ (all_0_212_212 = e11)
% 19.90/5.11 | (1485) all_0_218_218 = e11 | all_0_223_223 = e11 | all_0_228_228 = e11
% 19.90/5.11 |
% 19.90/5.11 +-Applying beta-rule and splitting (1485), into two cases.
% 19.90/5.11 |-Branch one:
% 19.90/5.11 | (1158) all_0_218_218 = e11
% 19.90/5.11 |
% 19.90/5.11 | Equations (1158) can reduce 1237 to:
% 19.90/5.11 | (1480) ~ (e12 = e11)
% 19.90/5.11 |
% 19.90/5.11 | Simplifying 1480 yields:
% 19.90/5.11 | (381) ~ (e12 = e11)
% 19.90/5.11 |
% 19.90/5.11 | From (1158) and (2086) follows:
% 19.90/5.11 | (1140) op1(e11, e11) = e11
% 19.90/5.11 |
% 19.90/5.11 | From (1158) and (2087) follows:
% 19.90/5.11 | (2117) op1(e11, e11) = e12
% 19.90/5.11 |
% 19.90/5.11 | Instantiating formula (406) with e11, e11, e12, all_0_223_223 and discharging atoms op1(e11, e11) = all_0_223_223, op1(e11, e11) = e12, yields:
% 19.90/5.11 | (1982) all_0_223_223 = e12
% 19.90/5.11 |
% 19.90/5.11 | Instantiating formula (406) with e11, e11, e11, all_0_223_223 and discharging atoms op1(e11, e11) = all_0_223_223, op1(e11, e11) = e11, yields:
% 19.90/5.11 | (1148) all_0_223_223 = e11
% 19.90/5.11 |
% 19.90/5.11 | Combining equations (1982,1148) yields a new equation:
% 19.90/5.11 | (1232) e12 = e11
% 19.90/5.11 |
% 19.90/5.11 | Simplifying 1232 yields:
% 19.90/5.11 | (1233) e12 = e11
% 19.90/5.11 |
% 19.90/5.11 | Equations (1233) can reduce 381 to:
% 19.90/5.11 | (709) $false
% 19.90/5.11 |
% 19.90/5.11 |-The branch is then unsatisfiable
% 19.90/5.11 |-Branch two:
% 19.90/5.11 | (1138) ~ (all_0_218_218 = e11)
% 19.90/5.11 | (1503) all_0_223_223 = e11 | all_0_228_228 = e11
% 19.90/5.11 |
% 19.90/5.11 +-Applying beta-rule and splitting (1503), into two cases.
% 19.90/5.11 |-Branch one:
% 19.90/5.11 | (1148) all_0_223_223 = e11
% 19.90/5.11 |
% 19.90/5.11 | Equations (1148) can reduce 1473 to:
% 19.90/5.11 | (709) $false
% 19.90/5.11 |
% 19.90/5.11 |-The branch is then unsatisfiable
% 19.90/5.11 |-Branch two:
% 19.90/5.11 | (1473) ~ (all_0_223_223 = e11)
% 19.90/5.11 | (1137) all_0_228_228 = e11
% 19.90/5.11 |
% 19.90/5.11 | Combining equations (1137,1261) yields a new equation:
% 19.90/5.11 | (1233) e12 = e11
% 19.90/5.11 |
% 19.90/5.11 | Equations (1233) can reduce 381 to:
% 19.90/5.11 | (709) $false
% 19.90/5.11 |
% 19.90/5.11 |-The branch is then unsatisfiable
% 19.90/5.11 |-Branch two:
% 19.90/5.11 | (1528) ~ (all_0_228_228 = e12)
% 20.06/5.11 | (1529) all_0_228_228 = e13 | all_0_228_228 = e10
% 20.06/5.11 |
% 20.06/5.11 +-Applying beta-rule and splitting (1529), into two cases.
% 20.06/5.11 |-Branch one:
% 20.06/5.11 | (1530) all_0_228_228 = e13
% 20.06/5.11 |
% 20.06/5.11 | Equations (1530) can reduce 1249 to:
% 20.06/5.11 | (709) $false
% 20.06/5.11 |
% 20.06/5.11 |-The branch is then unsatisfiable
% 20.06/5.11 |-Branch two:
% 20.06/5.11 | (1249) ~ (all_0_228_228 = e13)
% 20.06/5.11 | (1180) all_0_228_228 = e10
% 20.06/5.11 |
% 20.06/5.11 | Equations (1180) can reduce 1072 to:
% 20.06/5.11 | (709) $false
% 20.06/5.11 |
% 20.06/5.11 |-The branch is then unsatisfiable
% 20.06/5.11 |-Branch two:
% 20.06/5.11 | (1128) ~ (all_0_226_226 = e11)
% 20.06/5.11 | (1536) all_0_226_226 = e13 | all_0_226_226 = e10
% 20.06/5.11 |
% 20.06/5.11 +-Applying beta-rule and splitting (1536), into two cases.
% 20.06/5.11 |-Branch one:
% 20.06/5.11 | (1537) all_0_226_226 = e13
% 20.06/5.11 |
% 20.06/5.11 | Equations (1537) can reduce 1247 to:
% 20.06/5.11 | (709) $false
% 20.06/5.11 |
% 20.06/5.11 |-The branch is then unsatisfiable
% 20.06/5.11 |-Branch two:
% 20.06/5.11 | (1247) ~ (all_0_226_226 = e13)
% 20.06/5.11 | (1106) all_0_226_226 = e10
% 20.06/5.11 |
% 20.06/5.11 | Equations (1106) can reduce 1175 to:
% 20.06/5.11 | (709) $false
% 20.06/5.11 |
% 20.06/5.11 |-The branch is then unsatisfiable
% 20.06/5.11 |-Branch two:
% 20.06/5.11 | (1058) ~ (all_0_222_222 = e11)
% 20.06/5.11 | (1194) all_0_222_222 = e12 | all_0_222_222 = e10
% 20.06/5.11 |
% 20.06/5.11 +-Applying beta-rule and splitting (2081), into two cases.
% 20.06/5.11 |-Branch one:
% 20.06/5.11 | (1191) all_0_222_222 = e11
% 20.06/5.11 |
% 20.06/5.11 | Equations (1191) can reduce 1058 to:
% 20.06/5.11 | (709) $false
% 20.06/5.11 |
% 20.06/5.11 |-The branch is then unsatisfiable
% 20.06/5.11 |-Branch two:
% 20.06/5.11 | (1058) ~ (all_0_222_222 = e11)
% 20.06/5.11 | (1130) all_0_227_227 = e11
% 20.06/5.11 |
% 20.06/5.11 | Combining equations (1130,1177) yields a new equation:
% 20.06/5.11 | (1234) e11 = e10
% 20.06/5.11 |
% 20.06/5.11 | Simplifying 1234 yields:
% 20.06/5.11 | (1126) e11 = e10
% 20.06/5.11 |
% 20.06/5.11 | Equations (1126) can reduce 368 to:
% 20.06/5.11 | (709) $false
% 20.06/5.11 |
% 20.06/5.11 |-The branch is then unsatisfiable
% 20.06/5.11 |-Branch two:
% 20.06/5.11 | (1056) ~ (all_0_213_213 = e11)
% 20.06/5.11 | (1085) all_0_213_213 = e13 | all_0_213_213 = e12
% 20.06/5.11 |
% 20.06/5.11 +-Applying beta-rule and splitting (1085), into two cases.
% 20.06/5.11 |-Branch one:
% 20.06/5.11 | (1086) all_0_213_213 = e12
% 20.06/5.11 |
% 20.06/5.11 | Equations (1086) can reduce 1545 to:
% 20.06/5.11 | (709) $false
% 20.06/5.11 |
% 20.06/5.11 |-The branch is then unsatisfiable
% 20.06/5.11 |-Branch two:
% 20.06/5.12 | (1545) ~ (all_0_213_213 = e12)
% 20.06/5.12 | (1546) all_0_213_213 = e13
% 20.06/5.12 |
% 20.06/5.12 | Equations (1546) can reduce 1075 to:
% 20.06/5.12 | (709) $false
% 20.06/5.12 |
% 20.06/5.12 |-The branch is then unsatisfiable
% 20.06/5.12 |-Branch two:
% 20.06/5.12 | (1548) ~ (all_0_215_215 = e13)
% 20.06/5.12 | (1316) all_0_215_215 = e10
% 20.06/5.12 |
% 20.06/5.12 | Equations (1316) can reduce 1068 to:
% 20.06/5.12 | (709) $false
% 20.06/5.12 |
% 20.06/5.12 |-The branch is then unsatisfiable
% 20.06/5.12 |-Branch two:
% 20.06/5.12 | (1551) ~ (all_0_214_214 = e10)
% 20.06/5.12 | (1316) all_0_215_215 = e10
% 20.06/5.12 |
% 20.06/5.12 | Equations (1316) can reduce 361 to:
% 20.06/5.12 | (1290) ~ (all_0_219_219 = e10)
% 20.06/5.12 |
% 20.06/5.12 | Simplifying 1290 yields:
% 20.06/5.12 | (1291) ~ (all_0_219_219 = e10)
% 20.06/5.12 |
% 20.06/5.12 +-Applying beta-rule and splitting (67), into two cases.
% 20.06/5.12 |-Branch one:
% 20.06/5.12 | (1208) all_0_216_216 = e12
% 20.06/5.12 |
% 20.06/5.12 | Equations (1208) can reduce 107 to:
% 20.06/5.12 | (1088) ~ (all_0_219_219 = e12)
% 20.06/5.12 |
% 20.06/5.12 | Simplifying 1088 yields:
% 20.06/5.12 | (1089) ~ (all_0_219_219 = e12)
% 20.06/5.12 |
% 20.06/5.12 | Equations (1208) can reduce 419 to:
% 20.06/5.12 | (2171) ~ (all_0_225_225 = e12)
% 20.06/5.12 |
% 20.06/5.12 | Simplifying 2171 yields:
% 20.06/5.12 | (1244) ~ (all_0_225_225 = e12)
% 20.06/5.12 |
% 20.06/5.12 | From (1208) and (2023) follows:
% 20.06/5.12 | (1206) op1(e12, e12) = e14
% 20.06/5.12 |
% 20.06/5.12 | From (1208) and (2022) follows:
% 20.06/5.12 | (1225) op1(e12, e12) = e12
% 20.06/5.12 |
% 20.06/5.12 +-Applying beta-rule and splitting (131), into two cases.
% 20.06/5.12 |-Branch one:
% 20.06/5.12 | (1204) all_0_225_225 = e12
% 20.06/5.12 |
% 20.06/5.12 | Equations (1204) can reduce 1244 to:
% 20.06/5.12 | (709) $false
% 20.06/5.12 |
% 20.06/5.12 |-The branch is then unsatisfiable
% 20.06/5.12 |-Branch two:
% 20.06/5.12 | (1244) ~ (all_0_225_225 = e12)
% 20.06/5.12 | (1245) all_0_225_225 = e13
% 20.06/5.12 |
% 20.06/5.12 | Equations (1245) can reduce 1244 to:
% 20.06/5.12 | (584) ~ (e13 = e12)
% 20.06/5.12 |
% 20.06/5.12 | Equations (1245) can reduce 432 to:
% 20.06/5.12 | (175) ~ (e13 = e10)
% 20.06/5.12 |
% 20.06/5.12 +-Applying beta-rule and splitting (280), into two cases.
% 20.06/5.12 |-Branch one:
% 20.06/5.12 | (1086) all_0_213_213 = e12
% 20.06/5.12 |
% 20.06/5.12 | Equations (1086) can reduce 1545 to:
% 20.06/5.12 | (709) $false
% 20.06/5.12 |
% 20.06/5.12 |-The branch is then unsatisfiable
% 20.06/5.12 |-Branch two:
% 20.06/5.12 | (1545) ~ (all_0_213_213 = e12)
% 20.06/5.12 | (1647) all_0_219_219 = e12 | all_0_224_224 = e12
% 20.06/5.12 |
% 20.06/5.12 +-Applying beta-rule and splitting (1647), into two cases.
% 20.06/5.12 |-Branch one:
% 20.06/5.12 | (1242) all_0_219_219 = e12
% 20.06/5.12 |
% 20.06/5.12 | Equations (1242) can reduce 1089 to:
% 20.06/5.12 | (709) $false
% 20.06/5.12 |
% 20.06/5.12 |-The branch is then unsatisfiable
% 20.06/5.12 |-Branch two:
% 20.06/5.12 | (1089) ~ (all_0_219_219 = e12)
% 20.06/5.12 | (1166) all_0_224_224 = e12
% 20.06/5.12 |
% 20.06/5.12 | Equations (1166) can reduce 310 to:
% 20.06/5.12 | (1545) ~ (all_0_213_213 = e12)
% 20.06/5.12 |
% 20.06/5.12 | Equations (1166) can reduce 520 to:
% 20.06/5.12 | (1089) ~ (all_0_219_219 = e12)
% 20.06/5.12 |
% 20.06/5.12 | From (1166) and (525) follows:
% 20.06/5.12 | (2191) op1(e12, all_0_228_228) = e10
% 20.06/5.12 |
% 20.06/5.12 | From (1166) and (244) follows:
% 20.06/5.12 | (2192) op1(all_0_228_228, e12) = e11
% 20.06/5.12 |
% 20.06/5.12 +-Applying beta-rule and splitting (111), into two cases.
% 20.06/5.12 |-Branch one:
% 20.06/5.12 | (1546) all_0_213_213 = e13
% 20.06/5.12 |
% 20.06/5.12 | Equations (1546) can reduce 1545 to:
% 20.06/5.12 | (584) ~ (e13 = e12)
% 20.06/5.12 |
% 20.06/5.12 +-Applying beta-rule and splitting (74), into two cases.
% 20.06/5.12 |-Branch one:
% 20.06/5.12 | (1161) all_0_219_219 = e11
% 20.06/5.12 |
% 20.06/5.12 | Equations (1161) can reduce 1291 to:
% 20.06/5.12 | (368) ~ (e11 = e10)
% 20.06/5.12 |
% 20.06/5.12 +-Applying beta-rule and splitting (464), into two cases.
% 20.06/5.12 |-Branch one:
% 20.06/5.12 | (1204) all_0_225_225 = e12
% 20.06/5.12 |
% 20.06/5.12 | Combining equations (1204,1245) yields a new equation:
% 20.06/5.12 | (1230) e13 = e12
% 20.06/5.12 |
% 20.06/5.12 | Equations (1230) can reduce 584 to:
% 20.06/5.12 | (709) $false
% 20.06/5.12 |
% 20.06/5.12 |-The branch is then unsatisfiable
% 20.06/5.12 |-Branch two:
% 20.06/5.12 | (1244) ~ (all_0_225_225 = e12)
% 20.06/5.12 | (2201) all_0_227_227 = e12 | all_0_228_228 = e12
% 20.06/5.12 |
% 20.06/5.12 +-Applying beta-rule and splitting (2201), into two cases.
% 20.06/5.12 |-Branch one:
% 20.06/5.12 | (1784) all_0_227_227 = e12
% 20.06/5.12 |
% 20.06/5.12 | Equations (1784) can reduce 1576 to:
% 20.06/5.12 | (709) $false
% 20.06/5.12 |
% 20.06/5.12 |-The branch is then unsatisfiable
% 20.06/5.12 |-Branch two:
% 20.06/5.12 | (1576) ~ (all_0_227_227 = e12)
% 20.06/5.12 | (1261) all_0_228_228 = e12
% 20.06/5.12 |
% 20.06/5.12 | From (1261) and (2192) follows:
% 20.06/5.12 | (1224) op1(e12, e12) = e11
% 20.06/5.12 |
% 20.06/5.12 | From (1261) and (2191) follows:
% 20.06/5.12 | (1207) op1(e12, e12) = e10
% 20.06/5.12 |
% 20.06/5.12 | Instantiating formula (406) with e12, e12, e14, e13 and discharging atoms op1(e12, e12) = e14, op1(e12, e12) = e13, yields:
% 20.06/5.12 | (1226) e14 = e13
% 20.06/5.12 |
% 20.06/5.12 | Instantiating formula (406) with e12, e12, e12, e14 and discharging atoms op1(e12, e12) = e14, op1(e12, e12) = e12, yields:
% 20.06/5.12 | (1219) e14 = e12
% 20.06/5.12 |
% 20.06/5.12 | Instantiating formula (406) with e12, e12, e11, e13 and discharging atoms op1(e12, e12) = e13, op1(e12, e12) = e11, yields:
% 20.06/5.12 | (1231) e13 = e11
% 20.06/5.12 |
% 20.06/5.12 | Instantiating formula (406) with e12, e12, e10, e13 and discharging atoms op1(e12, e12) = e13, op1(e12, e12) = e10, yields:
% 20.06/5.12 | (1318) e13 = e10
% 20.06/5.12 |
% 20.06/5.12 | Combining equations (1226,1219) yields a new equation:
% 20.06/5.12 | (1970) e13 = e12
% 20.06/5.12 |
% 20.06/5.12 | Simplifying 1970 yields:
% 20.06/5.12 | (1230) e13 = e12
% 20.06/5.12 |
% 20.06/5.12 | Combining equations (1231,1230) yields a new equation:
% 20.06/5.12 | (1233) e12 = e11
% 20.06/5.12 |
% 20.06/5.12 | Combining equations (1318,1230) yields a new equation:
% 20.06/5.12 | (1229) e12 = e10
% 20.06/5.12 |
% 20.06/5.12 | Combining equations (1229,1233) yields a new equation:
% 20.06/5.12 | (1126) e11 = e10
% 20.06/5.12 |
% 20.06/5.12 | Equations (1126) can reduce 368 to:
% 20.06/5.12 | (709) $false
% 20.06/5.12 |
% 20.06/5.12 |-The branch is then unsatisfiable
% 20.06/5.12 |-Branch two:
% 20.06/5.12 | (1115) ~ (all_0_219_219 = e11)
% 20.06/5.12 | (1467) all_0_219_219 = e12 | all_0_219_219 = e10
% 20.06/5.12 |
% 20.06/5.12 +-Applying beta-rule and splitting (1467), into two cases.
% 20.06/5.12 |-Branch one:
% 20.06/5.12 | (1242) all_0_219_219 = e12
% 20.06/5.12 |
% 20.06/5.12 | Equations (1242) can reduce 1089 to:
% 20.06/5.12 | (709) $false
% 20.06/5.12 |
% 20.06/5.12 |-The branch is then unsatisfiable
% 20.06/5.12 |-Branch two:
% 20.06/5.12 | (1089) ~ (all_0_219_219 = e12)
% 20.06/5.12 | (1121) all_0_219_219 = e10
% 20.06/5.12 |
% 20.06/5.12 | Equations (1121) can reduce 1291 to:
% 20.06/5.12 | (709) $false
% 20.06/5.12 |
% 20.06/5.12 |-The branch is then unsatisfiable
% 20.06/5.12 |-Branch two:
% 20.06/5.12 | (1075) ~ (all_0_213_213 = e13)
% 20.06/5.12 | (1776) all_0_215_215 = e13 | all_0_224_224 = e13
% 20.06/5.12 |
% 20.06/5.12 +-Applying beta-rule and splitting (1776), into two cases.
% 20.06/5.12 |-Branch one:
% 20.06/5.12 | (1074) all_0_215_215 = e13
% 20.06/5.12 |
% 20.06/5.12 | Combining equations (1316,1074) yields a new equation:
% 20.06/5.12 | (1318) e13 = e10
% 20.06/5.12 |
% 20.06/5.12 | Equations (1318) can reduce 175 to:
% 20.06/5.12 | (709) $false
% 20.06/5.12 |
% 20.06/5.12 |-The branch is then unsatisfiable
% 20.06/5.12 |-Branch two:
% 20.06/5.12 | (1548) ~ (all_0_215_215 = e13)
% 20.06/5.12 | (1170) all_0_224_224 = e13
% 20.06/5.12 |
% 20.06/5.12 | Combining equations (1166,1170) yields a new equation:
% 20.06/5.12 | (1230) e13 = e12
% 20.06/5.12 |
% 20.06/5.12 | Equations (1230) can reduce 584 to:
% 20.06/5.12 | (709) $false
% 20.06/5.12 |
% 20.06/5.12 |-The branch is then unsatisfiable
% 20.06/5.12 |-Branch two:
% 20.06/5.12 | (1205) ~ (all_0_216_216 = e12)
% 20.06/5.12 | (1211) all_0_216_216 = e14
% 20.06/5.12 |
% 20.06/5.12 | Equations (1211) can reduce 1205 to:
% 20.06/5.12 | (616) ~ (e14 = e12)
% 20.06/5.12 |
% 20.06/5.12 | From (1211) and (2022) follows:
% 20.06/5.12 | (2237) op1(e12, e14) = e12
% 20.06/5.12 |
% 20.06/5.12 | From (1211) and (215) follows:
% 20.06/5.12 | (2238) op1(e12, e14) = e14
% 20.06/5.12 |
% 20.06/5.12 | Instantiating formula (406) with e12, e14, e12, e14 and discharging atoms op1(e12, e14) = e14, op1(e12, e14) = e12, yields:
% 20.06/5.12 | (1219) e14 = e12
% 20.06/5.12 |
% 20.06/5.12 | Equations (1219) can reduce 616 to:
% 20.06/5.12 | (709) $false
% 20.06/5.12 |
% 20.06/5.12 |-The branch is then unsatisfiable
% 20.06/5.12 |-Branch two:
% 20.06/5.12 | (2241) ~ (all_0_202_202 = e23)
% 20.06/5.12 | (2242) all_0_207_207 = e23
% 20.06/5.12 |
% 20.06/5.12 | Combining equations (805,2242) yields a new equation:
% 20.06/5.12 | (2243) e23 = e21
% 20.06/5.12 |
% 20.06/5.12 | Equations (2243) can reduce 600 to:
% 20.06/5.12 | (709) $false
% 20.06/5.12 |
% 20.06/5.12 |-The branch is then unsatisfiable
% 20.06/5.13 |-Branch two:
% 20.06/5.13 | (2245) ~ (all_0_204_204 = e21)
% 20.06/5.13 | (2246) all_0_204_204 = e24 | all_0_204_204 = e23 | all_0_204_204 = e22 | all_0_204_204 = e20
% 20.06/5.13 |
% 20.06/5.13 +-Applying beta-rule and splitting (876), into two cases.
% 20.06/5.13 |-Branch one:
% 20.06/5.13 | (2247) all_0_203_203 = e21
% 20.06/5.13 |
% 20.06/5.13 | Combining equations (2247,726) yields a new equation:
% 20.06/5.13 | (879) e22 = e21
% 20.06/5.13 |
% 20.06/5.13 | Equations (879) can reduce 399 to:
% 20.06/5.13 | (709) $false
% 20.06/5.13 |
% 20.06/5.13 |-The branch is then unsatisfiable
% 20.06/5.13 |-Branch two:
% 20.06/5.13 | (693) ~ (all_0_203_203 = e21)
% 20.06/5.13 | (2251) all_0_204_204 = e21 | all_0_205_205 = e21
% 20.06/5.13 |
% 20.06/5.13 +-Applying beta-rule and splitting (2251), into two cases.
% 20.06/5.13 |-Branch one:
% 20.06/5.13 | (902) all_0_204_204 = e21
% 20.06/5.13 |
% 20.06/5.13 | Equations (902) can reduce 2245 to:
% 20.06/5.13 | (709) $false
% 20.06/5.13 |
% 20.06/5.13 |-The branch is then unsatisfiable
% 20.06/5.13 |-Branch two:
% 20.06/5.13 | (2245) ~ (all_0_204_204 = e21)
% 20.06/5.13 | (2255) all_0_205_205 = e21
% 20.06/5.13 |
% 20.06/5.13 | Combining equations (870,2255) yields a new equation:
% 20.06/5.13 | (2256) e21 = e20
% 20.06/5.13 |
% 20.06/5.13 | Equations (2256) can reduce 258 to:
% 20.06/5.13 | (709) $false
% 20.06/5.13 |
% 20.06/5.13 |-The branch is then unsatisfiable
% 20.06/5.13 |-Branch two:
% 20.06/5.13 | (2258) ~ (all_0_200_200 = e21)
% 20.06/5.13 | (2255) all_0_205_205 = e21
% 20.06/5.13 |
% 20.06/5.13 | Combining equations (2255,870) yields a new equation:
% 20.06/5.13 | (2260) e21 = e20
% 20.06/5.13 |
% 20.06/5.13 | Simplifying 2260 yields:
% 20.06/5.13 | (2256) e21 = e20
% 20.06/5.13 |
% 20.06/5.13 | Equations (2256) can reduce 258 to:
% 20.06/5.13 | (709) $false
% 20.06/5.13 |
% 20.06/5.13 |-The branch is then unsatisfiable
% 20.06/5.13 |-Branch two:
% 20.06/5.13 | (1453) ~ (all_0_198_198 = e20)
% 20.06/5.13 | (2264) all_0_198_198 = e24
% 20.06/5.13 |
% 20.06/5.13 | Equations (2264) can reduce 769 to:
% 20.06/5.13 | (709) $false
% 20.06/5.13 |
% 20.06/5.13 |-The branch is then unsatisfiable
% 20.06/5.13 |-Branch two:
% 20.06/5.13 | (2266) ~ (all_0_194_194 = e22)
% 20.06/5.13 | (2267) all_0_200_200 = e22 | all_0_205_205 = e22
% 20.06/5.13 |
% 20.06/5.13 +-Applying beta-rule and splitting (2267), into two cases.
% 20.06/5.13 |-Branch one:
% 20.06/5.13 | (2268) all_0_200_200 = e22
% 20.06/5.13 |
% 20.06/5.13 | Equations (2268) can reduce 700 to:
% 20.06/5.13 | (709) $false
% 20.06/5.13 |
% 20.06/5.13 |-The branch is then unsatisfiable
% 20.06/5.13 |-Branch two:
% 20.06/5.13 | (700) ~ (all_0_200_200 = e22)
% 20.06/5.13 | (2271) all_0_205_205 = e22
% 20.06/5.13 |
% 20.06/5.13 | Equations (2271) can reduce 730 to:
% 20.06/5.13 | (709) $false
% 20.06/5.13 |
% 20.06/5.13 |-The branch is then unsatisfiable
% 20.06/5.13 |-Branch two:
% 20.06/5.13 | (2273) ~ (all_0_195_195 = e20)
% 20.06/5.13 | (861) all_0_196_196 = e20
% 20.06/5.13 |
% 20.06/5.13 | Combining equations (861,820) yields a new equation:
% 20.06/5.13 | (863) e23 = e20
% 20.06/5.13 |
% 20.06/5.13 | Equations (863) can reduce 383 to:
% 20.06/5.13 | (709) $false
% 20.06/5.13 |
% 20.06/5.13 |-The branch is then unsatisfiable
% 20.06/5.13 |-Branch two:
% 20.06/5.13 | (2277) ~ (all_0_207_207 = e21)
% 20.06/5.13 | (2278) all_0_208_208 = e21 | all_0_209_209 = e21
% 20.06/5.13 |
% 20.06/5.13 +-Applying beta-rule and splitting (2278), into two cases.
% 20.06/5.13 |-Branch one:
% 20.06/5.13 | (2279) all_0_208_208 = e21
% 20.06/5.13 |
% 20.06/5.13 | Combining equations (758,2279) yields a new equation:
% 20.06/5.13 | (2256) e21 = e20
% 20.06/5.13 |
% 20.06/5.13 | Equations (2256) can reduce 258 to:
% 20.06/5.13 | (709) $false
% 20.06/5.13 |
% 20.06/5.13 |-The branch is then unsatisfiable
% 20.06/5.13 |-Branch two:
% 20.06/5.13 | (695) ~ (all_0_208_208 = e21)
% 20.06/5.13 | (2283) all_0_209_209 = e21
% 20.06/5.13 |
% 20.06/5.13 | Combining equations (2283,782) yields a new equation:
% 20.06/5.13 | (879) e22 = e21
% 20.06/5.13 |
% 20.06/5.13 | Equations (879) can reduce 399 to:
% 20.06/5.13 | (709) $false
% 20.06/5.13 |
% 20.06/5.13 |-The branch is then unsatisfiable
% 20.06/5.13 |-Branch two:
% 20.06/5.13 | (2286) ~ (all_0_191_191 = e24)
% 20.06/5.13 | (793) all_0_193_193 = e24
% 20.06/5.13 |
% 20.06/5.13 | Equations (793) can reduce 728 to:
% 20.06/5.13 | (709) $false
% 20.06/5.13 |
% 20.06/5.13 |-The branch is then unsatisfiable
% 20.06/5.13 |-Branch two:
% 20.06/5.13 | (2289) ~ (all_0_201_201 = e24)
% 20.06/5.13 | (890) all_0_201_201 = e23
% 20.06/5.13 |
% 20.06/5.13 | Equations (890) can reduce 712 to:
% 20.06/5.13 | (709) $false
% 20.06/5.13 |
% 20.06/5.13 |-The branch is then unsatisfiable
% 20.06/5.13 |-Branch two:
% 20.06/5.13 | (2292) ~ (all_0_197_197 = e22)
% 20.06/5.13 | (2293) all_0_197_197 = e24
% 20.06/5.13 |
% 20.06/5.13 | Equations (2293) can reduce 33 to:
% 20.06/5.13 | (768) ~ (all_0_198_198 = e24)
% 20.06/5.13 |
% 20.06/5.13 | Simplifying 768 yields:
% 20.06/5.13 | (769) ~ (all_0_198_198 = e24)
% 20.06/5.13 |
% 20.06/5.13 | Equations (2293) can reduce 482 to:
% 20.06/5.13 | (2296) ~ (all_0_200_200 = e24)
% 20.06/5.13 |
% 20.06/5.13 | Simplifying 2296 yields:
% 20.06/5.13 | (162) ~ (all_0_200_200 = e24)
% 20.06/5.13 |
% 20.06/5.13 | Equations (2293) can reduce 5 to:
% 20.06/5.13 | (2298) ~ (all_0_206_206 = e24)
% 20.06/5.13 |
% 20.06/5.13 | Simplifying 2298 yields:
% 20.06/5.13 | (20) ~ (all_0_206_206 = e24)
% 20.06/5.13 |
% 20.06/5.13 | From (2293) and (697) follows:
% 20.06/5.13 | (2300) op2(e24, e21) = e24
% 20.06/5.13 |
% 20.06/5.13 | From (2293) and (696) follows:
% 20.06/5.13 | (2301) op2(e21, e24) = e22
% 20.06/5.13 |
% 20.06/5.13 | Instantiating formula (7) with e24, e21, e24, all_0_193_193 and discharging atoms op2(e24, e21) = all_0_193_193, op2(e24, e21) = e24, yields:
% 20.06/5.13 | (793) all_0_193_193 = e24
% 20.06/5.13 |
% 20.06/5.13 | Instantiating formula (7) with e21, e24, e22, all_0_201_201 and discharging atoms op2(e21, e24) = all_0_201_201, op2(e21, e24) = e22, yields:
% 20.06/5.13 | (717) all_0_201_201 = e22
% 20.06/5.13 |
% 20.06/5.13 | Equations (793) can reduce 490 to:
% 20.06/5.13 | (2286) ~ (all_0_191_191 = e24)
% 20.06/5.13 |
% 20.06/5.13 | Equations (793) can reduce 126 to:
% 20.06/5.13 | (2305) ~ (all_0_194_194 = e24)
% 20.06/5.13 |
% 20.06/5.13 | Simplifying 2305 yields:
% 20.06/5.13 | (49) ~ (all_0_194_194 = e24)
% 20.06/5.13 |
% 20.06/5.13 | Equations (793) can reduce 572 to:
% 20.06/5.13 | (2307) ~ (all_0_195_195 = e24)
% 20.06/5.13 |
% 20.06/5.13 | Simplifying 2307 yields:
% 20.06/5.13 | (98) ~ (all_0_195_195 = e24)
% 20.06/5.13 |
% 20.06/5.13 | Equations (717) can reduce 14 to:
% 20.06/5.13 | (2309) ~ (all_0_203_203 = e22)
% 20.06/5.13 |
% 20.06/5.13 | Simplifying 2309 yields:
% 20.06/5.13 | (2310) ~ (all_0_203_203 = e22)
% 20.06/5.13 |
% 20.06/5.13 | Equations (717) can reduce 85 to:
% 20.06/5.13 | (703) ~ (all_0_206_206 = e22)
% 20.06/5.13 |
% 20.06/5.13 | Simplifying 703 yields:
% 20.06/5.13 | (704) ~ (all_0_206_206 = e22)
% 20.06/5.13 |
% 20.06/5.13 +-Applying beta-rule and splitting (184), into two cases.
% 20.06/5.13 |-Branch one:
% 20.06/5.13 | (765) all_0_191_191 = e24
% 20.06/5.13 |
% 20.06/5.13 | Equations (765) can reduce 2286 to:
% 20.06/5.13 | (709) $false
% 20.06/5.13 |
% 20.06/5.13 |-The branch is then unsatisfiable
% 20.06/5.13 |-Branch two:
% 20.17/5.13 | (2286) ~ (all_0_191_191 = e24)
% 20.17/5.13 | (2316) all_0_198_198 = e24 | all_0_202_202 = e24
% 20.17/5.13 |
% 20.17/5.13 +-Applying beta-rule and splitting (139), into two cases.
% 20.17/5.13 |-Branch one:
% 20.17/5.13 | (708) all_0_206_206 = e22
% 20.17/5.13 |
% 20.17/5.13 | Equations (708) can reduce 704 to:
% 20.17/5.13 | (709) $false
% 20.17/5.13 |
% 20.17/5.13 |-The branch is then unsatisfiable
% 20.17/5.13 |-Branch two:
% 20.17/5.13 | (704) ~ (all_0_206_206 = e22)
% 20.17/5.13 | (711) all_0_206_206 = e23
% 20.17/5.13 |
% 20.17/5.13 | Equations (711) can reduce 627 to:
% 20.17/5.13 | (2321) ~ (all_0_207_207 = e23)
% 20.17/5.13 |
% 20.17/5.13 | Simplifying 2321 yields:
% 20.17/5.13 | (2322) ~ (all_0_207_207 = e23)
% 20.17/5.13 |
% 20.17/5.13 | Equations (711) can reduce 20 to:
% 20.17/5.13 | (821) ~ (e24 = e23)
% 20.17/5.13 |
% 20.17/5.13 | Simplifying 821 yields:
% 20.17/5.13 | (563) ~ (e24 = e23)
% 20.17/5.13 |
% 20.17/5.13 | From (711) and (594) follows:
% 20.17/5.13 | (2325) op2(all_0_194_194, e23) = e20
% 20.17/5.13 |
% 20.17/5.13 +-Applying beta-rule and splitting (225), into two cases.
% 20.17/5.13 |-Branch one:
% 20.17/5.13 | (2247) all_0_203_203 = e21
% 20.17/5.13 |
% 20.17/5.13 | Equations (2247) can reduce 693 to:
% 20.17/5.13 | (709) $false
% 20.17/5.13 |
% 20.17/5.13 |-The branch is then unsatisfiable
% 20.17/5.13 |-Branch two:
% 20.17/5.13 | (693) ~ (all_0_203_203 = e21)
% 20.17/5.13 | (2329) all_0_203_203 = e22 | all_0_203_203 = e20
% 20.17/5.13 |
% 20.17/5.13 +-Applying beta-rule and splitting (2329), into two cases.
% 20.17/5.13 |-Branch one:
% 20.17/5.13 | (754) all_0_203_203 = e20
% 20.17/5.13 |
% 20.17/5.14 | Equations (754) can reduce 443 to:
% 20.17/5.14 | (2331) ~ (all_0_205_205 = e20)
% 20.17/5.14 |
% 20.17/5.14 | Simplifying 2331 yields:
% 20.17/5.14 | (2332) ~ (all_0_205_205 = e20)
% 20.17/5.14 |
% 20.17/5.14 | Equations (754) can reduce 411 to:
% 20.17/5.14 | (2333) ~ (all_0_208_208 = e20)
% 20.17/5.14 |
% 20.17/5.14 | Simplifying 2333 yields:
% 20.17/5.14 | (2334) ~ (all_0_208_208 = e20)
% 20.17/5.14 |
% 20.17/5.14 | From (754) and (174) follows:
% 20.17/5.14 | (2335) op2(all_0_199_199, e20) = e21
% 20.17/5.14 |
% 20.17/5.14 +-Applying beta-rule and splitting (103), into two cases.
% 20.17/5.14 |-Branch one:
% 20.17/5.14 | (2279) all_0_208_208 = e21
% 20.17/5.14 |
% 20.17/5.14 | Equations (2279) can reduce 695 to:
% 20.17/5.14 | (709) $false
% 20.17/5.14 |
% 20.17/5.14 |-The branch is then unsatisfiable
% 20.17/5.14 |-Branch two:
% 20.17/5.14 | (695) ~ (all_0_208_208 = e21)
% 20.17/5.14 | (2339) all_0_208_208 = e22 | all_0_208_208 = e20
% 20.17/5.14 |
% 20.17/5.14 +-Applying beta-rule and splitting (2339), into two cases.
% 20.17/5.14 |-Branch one:
% 20.17/5.14 | (758) all_0_208_208 = e20
% 20.17/5.14 |
% 20.17/5.14 | Equations (758) can reduce 2334 to:
% 20.17/5.14 | (709) $false
% 20.17/5.14 |
% 20.17/5.14 |-The branch is then unsatisfiable
% 20.17/5.14 |-Branch two:
% 20.17/5.14 | (2334) ~ (all_0_208_208 = e20)
% 20.17/5.14 | (777) all_0_208_208 = e22
% 20.17/5.14 |
% 20.17/5.14 | Equations (777) can reduce 545 to:
% 20.17/5.14 | (238) ~ (all_0_207_207 = e22)
% 20.17/5.14 |
% 20.17/5.14 +-Applying beta-rule and splitting (2316), into two cases.
% 20.17/5.14 |-Branch one:
% 20.17/5.14 | (2264) all_0_198_198 = e24
% 20.17/5.14 |
% 20.17/5.14 | Equations (2264) can reduce 769 to:
% 20.17/5.14 | (709) $false
% 20.17/5.14 |
% 20.17/5.14 |-The branch is then unsatisfiable
% 20.17/5.14 |-Branch two:
% 20.17/5.14 | (769) ~ (all_0_198_198 = e24)
% 20.17/5.14 | (2348) all_0_202_202 = e24
% 20.17/5.14 |
% 20.17/5.14 | Equations (2348) can reduce 54 to:
% 20.17/5.14 | (2349) ~ (all_0_207_207 = e24)
% 20.17/5.14 |
% 20.17/5.14 | Simplifying 2349 yields:
% 20.17/5.14 | (326) ~ (all_0_207_207 = e24)
% 20.17/5.14 |
% 20.17/5.14 +-Applying beta-rule and splitting (447), into two cases.
% 20.17/5.14 |-Branch one:
% 20.17/5.14 | (896) all_0_191_191 = e23
% 20.17/5.14 |
% 20.17/5.14 | Equations (896) can reduce 425 to:
% 20.17/5.14 | (2352) ~ (all_0_194_194 = e23)
% 20.17/5.14 |
% 20.17/5.14 | Simplifying 2352 yields:
% 20.17/5.14 | (2353) ~ (all_0_194_194 = e23)
% 20.17/5.14 |
% 20.17/5.14 | From (896) and (104) follows:
% 20.17/5.14 | (2354) op2(e23, e21) = e23
% 20.17/5.14 |
% 20.17/5.14 +-Applying beta-rule and splitting (537), into two cases.
% 20.17/5.14 |-Branch one:
% 20.17/5.14 | (877) all_0_194_194 = e21
% 20.17/5.14 |
% 20.17/5.14 | Equations (877) can reduce 691 to:
% 20.17/5.14 | (709) $false
% 20.17/5.14 |
% 20.17/5.14 |-The branch is then unsatisfiable
% 20.17/5.14 |-Branch two:
% 20.17/5.14 | (691) ~ (all_0_194_194 = e21)
% 20.17/5.14 | (2358) all_0_194_194 = e23 | all_0_194_194 = e22
% 20.17/5.14 |
% 20.17/5.14 +-Applying beta-rule and splitting (2358), into two cases.
% 20.17/5.14 |-Branch one:
% 20.17/5.14 | (831) all_0_194_194 = e22
% 20.17/5.14 |
% 20.17/5.14 | Equations (831) can reduce 449 to:
% 20.17/5.14 | (2360) ~ (all_0_196_196 = e22)
% 20.17/5.14 |
% 20.17/5.14 | Simplifying 2360 yields:
% 20.17/5.14 | (199) ~ (all_0_196_196 = e22)
% 20.17/5.14 |
% 20.17/5.14 | Equations (831) can reduce 386 to:
% 20.17/5.14 | (699) ~ (all_0_200_200 = e22)
% 20.17/5.14 |
% 20.17/5.14 | Simplifying 699 yields:
% 20.17/5.14 | (700) ~ (all_0_200_200 = e22)
% 20.17/5.14 |
% 20.17/5.14 | Equations (831) can reduce 49 to:
% 20.17/5.14 | (2364) ~ (e24 = e22)
% 20.17/5.14 |
% 20.17/5.14 | Simplifying 2364 yields:
% 20.17/5.14 | (499) ~ (e24 = e22)
% 20.17/5.14 |
% 20.17/5.14 | From (831) and (2325) follows:
% 20.17/5.14 | (2366) op2(e22, e23) = e20
% 20.17/5.14 |
% 20.17/5.14 | From (831) and (378) follows:
% 20.17/5.14 | (839) op2(e22, e20) = all_0_3_3
% 20.17/5.14 |
% 20.17/5.14 +-Applying beta-rule and splitting (392), into two cases.
% 20.17/5.14 |-Branch one:
% 20.17/5.14 | (789) all_0_193_193 = e22
% 20.17/5.14 |
% 20.17/5.14 | Combining equations (793,789) yields a new equation:
% 20.17/5.14 | (2369) e24 = e22
% 20.17/5.14 |
% 20.17/5.14 | Simplifying 2369 yields:
% 20.17/5.14 | (2370) e24 = e22
% 20.17/5.14 |
% 20.17/5.14 | Equations (2370) can reduce 499 to:
% 20.17/5.14 | (709) $false
% 20.17/5.14 |
% 20.17/5.14 |-The branch is then unsatisfiable
% 20.17/5.14 |-Branch two:
% 20.17/5.14 | (783) ~ (all_0_193_193 = e22)
% 20.17/5.14 | (2373) all_0_199_199 = e22 | all_0_204_204 = e22 | all_0_209_209 = e22
% 20.17/5.14 |
% 20.17/5.14 | Equations (793) can reduce 783 to:
% 20.17/5.14 | (499) ~ (e24 = e22)
% 20.17/5.14 |
% 20.17/5.14 +-Applying beta-rule and splitting (334), into two cases.
% 20.17/5.14 |-Branch one:
% 20.17/5.14 | (698) all_0_197_197 = e22
% 20.17/5.14 |
% 20.17/5.14 | Combining equations (698,2293) yields a new equation:
% 20.17/5.14 | (2370) e24 = e22
% 20.17/5.14 |
% 20.17/5.14 | Equations (2370) can reduce 499 to:
% 20.17/5.14 | (709) $false
% 20.17/5.14 |
% 20.17/5.14 |-The branch is then unsatisfiable
% 20.17/5.14 |-Branch two:
% 20.17/5.14 | (2292) ~ (all_0_197_197 = e22)
% 20.17/5.14 | (2379) all_0_199_199 = e22 | all_0_200_200 = e22
% 20.17/5.14 |
% 20.17/5.14 +-Applying beta-rule and splitting (2373), into two cases.
% 20.17/5.14 |-Branch one:
% 20.17/5.14 | (2380) all_0_199_199 = e22
% 20.17/5.14 |
% 20.17/5.14 | Equations (2380) can reduce 337 to:
% 20.17/5.14 | (115) ~ (all_0_195_195 = e22)
% 20.17/5.14 |
% 20.17/5.14 | From (2380) and (2335) follows:
% 20.17/5.14 | (888) op2(e22, e20) = e21
% 20.17/5.14 |
% 20.17/5.14 | Instantiating formula (7) with e23, e21, e23, all_0_195_195 and discharging atoms op2(e23, e21) = all_0_195_195, op2(e23, e21) = e23, yields:
% 20.17/5.14 | (817) all_0_195_195 = e23
% 20.17/5.14 |
% 20.17/5.14 | Instantiating formula (7) with e22, e23, e20, all_0_198_198 and discharging atoms op2(e22, e23) = all_0_198_198, op2(e22, e23) = e20, yields:
% 20.17/5.14 | (842) all_0_198_198 = e20
% 20.17/5.14 |
% 20.17/5.14 | Instantiating formula (7) with e22, e20, all_0_3_3, all_0_200_200 and discharging atoms op2(e22, e20) = all_0_3_3, op2(e22, e20) = all_0_200_200, yields:
% 20.17/5.14 | (2385) all_0_3_3 = all_0_200_200
% 20.17/5.14 |
% 20.17/5.14 | Instantiating formula (7) with e22, e20, e21, all_0_3_3 and discharging atoms op2(e22, e20) = all_0_3_3, op2(e22, e20) = e21, yields:
% 20.17/5.14 | (2386) all_0_3_3 = e21
% 20.17/5.14 |
% 20.17/5.14 | Combining equations (2386,2385) yields a new equation:
% 20.17/5.14 | (883) all_0_200_200 = e21
% 20.17/5.14 |
% 20.17/5.14 | Equations (817) can reduce 615 to:
% 20.17/5.14 | (799) ~ (all_0_204_204 = e23)
% 20.17/5.14 |
% 20.17/5.14 | Simplifying 799 yields:
% 20.17/5.14 | (800) ~ (all_0_204_204 = e23)
% 20.17/5.14 |
% 20.17/5.14 | Equations (817) can reduce 98 to:
% 20.17/5.14 | (821) ~ (e24 = e23)
% 20.17/5.14 |
% 20.17/5.14 | Simplifying 821 yields:
% 20.17/5.14 | (563) ~ (e24 = e23)
% 20.17/5.14 |
% 20.17/5.14 | Equations (817) can reduce 115 to:
% 20.17/5.14 | (665) ~ (e23 = e22)
% 20.17/5.14 |
% 20.17/5.14 | Equations (883) can reduce 509 to:
% 20.17/5.14 | (242) ~ (all_0_196_196 = e21)
% 20.17/5.14 |
% 20.17/5.14 | Equations (842) can reduce 489 to:
% 20.17/5.14 | (2394) ~ (all_0_207_207 = e20)
% 20.17/5.14 |
% 20.17/5.14 | Simplifying 2394 yields:
% 20.17/5.14 | (2395) ~ (all_0_207_207 = e20)
% 20.17/5.14 |
% 20.17/5.14 | Equations (883) can reduce 408 to:
% 20.17/5.14 | (2396) ~ (all_0_205_205 = e21)
% 20.17/5.14 |
% 20.17/5.14 | Simplifying 2396 yields:
% 20.17/5.14 | (2397) ~ (all_0_205_205 = e21)
% 20.17/5.14 |
% 20.17/5.14 | Equations (883) can reduce 162 to:
% 20.17/5.14 | (2398) ~ (e24 = e21)
% 20.17/5.14 |
% 20.17/5.14 | Simplifying 2398 yields:
% 20.17/5.14 | (257) ~ (e24 = e21)
% 20.17/5.14 |
% 20.17/5.14 +-Applying beta-rule and splitting (179), into two cases.
% 20.17/5.14 |-Branch one:
% 20.17/5.14 | (890) all_0_201_201 = e23
% 20.17/5.14 |
% 20.17/5.14 | Combining equations (717,890) yields a new equation:
% 20.17/5.14 | (773) e23 = e22
% 20.17/5.14 |
% 20.17/5.14 | Equations (773) can reduce 665 to:
% 20.17/5.14 | (709) $false
% 20.17/5.14 |
% 20.17/5.14 |-The branch is then unsatisfiable
% 20.17/5.14 |-Branch two:
% 20.17/5.14 | (712) ~ (all_0_201_201 = e23)
% 20.17/5.14 | (894) all_0_202_202 = e23 | all_0_204_204 = e23 | all_0_205_205 = e23
% 20.17/5.14 |
% 20.17/5.14 +-Applying beta-rule and splitting (31), into two cases.
% 20.17/5.14 |-Branch one:
% 20.17/5.14 | (902) all_0_204_204 = e21
% 20.17/5.14 |
% 20.17/5.14 | Equations (902) can reduce 800 to:
% 20.17/5.14 | (903) ~ (e23 = e21)
% 20.17/5.14 |
% 20.17/5.14 | Simplifying 903 yields:
% 20.17/5.14 | (600) ~ (e23 = e21)
% 20.17/5.14 |
% 20.17/5.14 +-Applying beta-rule and splitting (894), into two cases.
% 20.17/5.14 |-Branch one:
% 20.17/5.14 | (909) all_0_202_202 = e23
% 20.17/5.14 |
% 20.17/5.14 | Combining equations (2348,909) yields a new equation:
% 20.17/5.14 | (897) e24 = e23
% 20.17/5.14 |
% 20.17/5.14 | Simplifying 897 yields:
% 20.17/5.14 | (891) e24 = e23
% 20.17/5.14 |
% 20.17/5.14 | Equations (891) can reduce 563 to:
% 20.17/5.14 | (709) $false
% 20.17/5.14 |
% 20.17/5.14 |-The branch is then unsatisfiable
% 20.17/5.14 |-Branch two:
% 20.17/5.14 | (2241) ~ (all_0_202_202 = e23)
% 20.17/5.14 | (2413) all_0_204_204 = e23 | all_0_205_205 = e23
% 20.17/5.14 |
% 20.17/5.14 +-Applying beta-rule and splitting (2413), into two cases.
% 20.17/5.14 |-Branch one:
% 20.17/5.14 | (2414) all_0_204_204 = e23
% 20.17/5.14 |
% 20.17/5.14 | Combining equations (902,2414) yields a new equation:
% 20.17/5.14 | (2243) e23 = e21
% 20.17/5.14 |
% 20.17/5.14 | Equations (2243) can reduce 600 to:
% 20.17/5.14 | (709) $false
% 20.17/5.14 |
% 20.17/5.14 |-The branch is then unsatisfiable
% 20.17/5.14 |-Branch two:
% 20.17/5.14 | (800) ~ (all_0_204_204 = e23)
% 20.17/5.14 | (2418) all_0_205_205 = e23
% 20.17/5.14 |
% 20.17/5.14 | Equations (2418) can reduce 2332 to:
% 20.17/5.14 | (383) ~ (e23 = e20)
% 20.17/5.14 |
% 20.17/5.14 +-Applying beta-rule and splitting (60), into two cases.
% 20.17/5.14 |-Branch one:
% 20.17/5.14 | (823) all_0_195_195 = e20
% 20.17/5.14 |
% 20.17/5.14 | Combining equations (817,823) yields a new equation:
% 20.17/5.14 | (862) e23 = e20
% 20.17/5.14 |
% 20.17/5.14 | Simplifying 862 yields:
% 20.17/5.14 | (863) e23 = e20
% 20.17/5.14 |
% 20.17/5.14 | Equations (863) can reduce 383 to:
% 20.17/5.14 | (709) $false
% 20.17/5.14 |
% 20.17/5.14 |-The branch is then unsatisfiable
% 20.17/5.14 |-Branch two:
% 20.17/5.14 | (2273) ~ (all_0_195_195 = e20)
% 20.17/5.14 | (861) all_0_196_196 = e20
% 20.17/5.14 |
% 20.17/5.14 +-Applying beta-rule and splitting (288), into two cases.
% 20.17/5.14 |-Branch one:
% 20.17/5.14 | (865) ~ (all_0_196_196 = e20)
% 20.17/5.14 |
% 20.17/5.14 | Equations (861) can reduce 865 to:
% 20.17/5.14 | (709) $false
% 20.17/5.14 |
% 20.17/5.14 |-The branch is then unsatisfiable
% 20.17/5.14 |-Branch two:
% 20.17/5.14 | (861) all_0_196_196 = e20
% 20.17/5.14 | (2429) ( ~ (all_0_191_191 = e23) & ~ (all_0_192_192 = e22) & ~ (all_0_193_193 = e21)) | ( ~ (all_0_197_197 = e24) & ~ (all_0_199_199 = e21) & ~ (all_0_200_200 = e20)) | ( ~ (all_0_201_201 = e24) & ~ (all_0_202_202 = e23) & ~ (all_0_203_203 = e22) & ~ (all_0_204_204 = e21) & ~ (all_0_205_205 = e20)) | ( ~ (all_0_207_207 = e23) & ~ (all_0_208_208 = e22) & ~ (all_0_209_209 = e21))
% 20.17/5.14 |
% 20.17/5.14 +-Applying beta-rule and splitting (2429), into two cases.
% 20.17/5.14 |-Branch one:
% 20.17/5.14 | (2430) ( ~ (all_0_191_191 = e23) & ~ (all_0_192_192 = e22) & ~ (all_0_193_193 = e21)) | ( ~ (all_0_197_197 = e24) & ~ (all_0_199_199 = e21) & ~ (all_0_200_200 = e20)) | ( ~ (all_0_201_201 = e24) & ~ (all_0_202_202 = e23) & ~ (all_0_203_203 = e22) & ~ (all_0_204_204 = e21) & ~ (all_0_205_205 = e20))
% 20.17/5.14 |
% 20.17/5.15 +-Applying beta-rule and splitting (2430), into two cases.
% 20.17/5.15 |-Branch one:
% 20.17/5.15 | (2431) ( ~ (all_0_191_191 = e23) & ~ (all_0_192_192 = e22) & ~ (all_0_193_193 = e21)) | ( ~ (all_0_197_197 = e24) & ~ (all_0_199_199 = e21) & ~ (all_0_200_200 = e20))
% 20.17/5.15 |
% 20.17/5.15 +-Applying beta-rule and splitting (2431), into two cases.
% 20.17/5.15 |-Branch one:
% 20.17/5.15 | (2432) ~ (all_0_191_191 = e23) & ~ (all_0_192_192 = e22) & ~ (all_0_193_193 = e21)
% 20.17/5.15 |
% 20.17/5.15 | Applying alpha-rule on (2432) yields:
% 20.17/5.15 | (900) ~ (all_0_191_191 = e23)
% 20.17/5.15 | (2434) ~ (all_0_192_192 = e22)
% 20.17/5.15 | (689) ~ (all_0_193_193 = e21)
% 20.17/5.15 |
% 20.17/5.15 | Equations (896) can reduce 900 to:
% 20.17/5.15 | (709) $false
% 20.17/5.15 |
% 20.17/5.15 |-The branch is then unsatisfiable
% 20.17/5.15 |-Branch two:
% 20.17/5.15 | (2437) ~ (all_0_197_197 = e24) & ~ (all_0_199_199 = e21) & ~ (all_0_200_200 = e20)
% 20.17/5.15 |
% 20.17/5.15 | Applying alpha-rule on (2437) yields:
% 20.17/5.15 | (2438) ~ (all_0_197_197 = e24)
% 20.17/5.15 | (2439) ~ (all_0_199_199 = e21)
% 20.17/5.15 | (844) ~ (all_0_200_200 = e20)
% 20.17/5.15 |
% 20.17/5.15 | Equations (2293) can reduce 2438 to:
% 20.17/5.15 | (709) $false
% 20.17/5.15 |
% 20.17/5.15 |-The branch is then unsatisfiable
% 20.17/5.15 |-Branch two:
% 20.17/5.15 | (2442) ~ (all_0_201_201 = e24) & ~ (all_0_202_202 = e23) & ~ (all_0_203_203 = e22) & ~ (all_0_204_204 = e21) & ~ (all_0_205_205 = e20)
% 20.17/5.15 |
% 20.17/5.15 | Applying alpha-rule on (2442) yields:
% 20.17/5.15 | (2245) ~ (all_0_204_204 = e21)
% 20.17/5.15 | (2289) ~ (all_0_201_201 = e24)
% 20.17/5.15 | (2310) ~ (all_0_203_203 = e22)
% 20.17/5.15 | (2332) ~ (all_0_205_205 = e20)
% 20.17/5.15 | (2241) ~ (all_0_202_202 = e23)
% 20.17/5.15 |
% 20.17/5.15 | Equations (902) can reduce 2245 to:
% 20.17/5.15 | (709) $false
% 20.17/5.15 |
% 20.17/5.15 |-The branch is then unsatisfiable
% 20.17/5.15 |-Branch two:
% 20.17/5.15 | (2449) ~ (all_0_207_207 = e23) & ~ (all_0_208_208 = e22) & ~ (all_0_209_209 = e21)
% 20.17/5.15 |
% 20.17/5.15 | Applying alpha-rule on (2449) yields:
% 20.17/5.15 | (2322) ~ (all_0_207_207 = e23)
% 20.17/5.15 | (732) ~ (all_0_208_208 = e22)
% 20.17/5.15 | (2452) ~ (all_0_209_209 = e21)
% 20.17/5.15 |
% 20.17/5.15 | Equations (777) can reduce 732 to:
% 20.17/5.15 | (709) $false
% 20.17/5.15 |
% 20.17/5.15 |-The branch is then unsatisfiable
% 20.17/5.15 |-Branch two:
% 20.17/5.15 | (2245) ~ (all_0_204_204 = e21)
% 20.17/5.15 | (2246) all_0_204_204 = e24 | all_0_204_204 = e23 | all_0_204_204 = e22 | all_0_204_204 = e20
% 20.17/5.15 |
% 20.17/5.15 +-Applying beta-rule and splitting (894), into two cases.
% 20.17/5.15 |-Branch one:
% 20.17/5.15 | (909) all_0_202_202 = e23
% 20.17/5.15 |
% 20.17/5.15 | Combining equations (2348,909) yields a new equation:
% 20.17/5.15 | (897) e24 = e23
% 20.17/5.15 |
% 20.17/5.15 | Simplifying 897 yields:
% 20.17/5.15 | (891) e24 = e23
% 20.17/5.15 |
% 20.17/5.15 | Equations (891) can reduce 563 to:
% 20.17/5.15 | (709) $false
% 20.17/5.15 |
% 20.17/5.15 |-The branch is then unsatisfiable
% 20.17/5.15 |-Branch two:
% 20.17/5.15 | (2241) ~ (all_0_202_202 = e23)
% 20.17/5.15 | (2413) all_0_204_204 = e23 | all_0_205_205 = e23
% 20.17/5.15 |
% 20.17/5.15 +-Applying beta-rule and splitting (2413), into two cases.
% 20.17/5.15 |-Branch one:
% 20.17/5.15 | (2414) all_0_204_204 = e23
% 20.17/5.15 |
% 20.17/5.15 | Equations (2414) can reduce 800 to:
% 20.17/5.15 | (709) $false
% 20.17/5.15 |
% 20.17/5.15 |-The branch is then unsatisfiable
% 20.17/5.15 |-Branch two:
% 20.17/5.15 | (800) ~ (all_0_204_204 = e23)
% 20.17/5.15 | (2418) all_0_205_205 = e23
% 20.17/5.15 |
% 20.17/5.15 | Equations (2418) can reduce 2397 to:
% 20.17/5.15 | (600) ~ (e23 = e21)
% 20.17/5.15 |
% 20.17/5.15 | Equations (2418) can reduce 2332 to:
% 20.17/5.15 | (383) ~ (e23 = e20)
% 20.17/5.15 |
% 20.17/5.15 +-Applying beta-rule and splitting (60), into two cases.
% 20.17/5.15 |-Branch one:
% 20.17/5.15 | (823) all_0_195_195 = e20
% 20.17/5.15 |
% 20.17/5.15 | Combining equations (817,823) yields a new equation:
% 20.17/5.15 | (862) e23 = e20
% 20.17/5.15 |
% 20.17/5.15 | Simplifying 862 yields:
% 20.17/5.15 | (863) e23 = e20
% 20.17/5.15 |
% 20.17/5.15 | Equations (863) can reduce 383 to:
% 20.17/5.15 | (709) $false
% 20.17/5.15 |
% 20.17/5.15 |-The branch is then unsatisfiable
% 20.17/5.15 |-Branch two:
% 20.17/5.15 | (2273) ~ (all_0_195_195 = e20)
% 20.17/5.15 | (861) all_0_196_196 = e20
% 20.17/5.15 |
% 20.17/5.15 | Equations (861) can reduce 199 to:
% 20.17/5.15 | (759) ~ (e22 = e20)
% 20.17/5.15 |
% 20.17/5.15 | Simplifying 759 yields:
% 20.17/5.15 | (479) ~ (e22 = e20)
% 20.17/5.15 |
% 20.17/5.15 | Equations (861) can reduce 242 to:
% 20.17/5.15 | (761) ~ (e21 = e20)
% 20.17/5.15 |
% 20.17/5.15 | Simplifying 761 yields:
% 20.17/5.15 | (258) ~ (e21 = e20)
% 20.17/5.15 |
% 20.17/5.15 +-Applying beta-rule and splitting (516), into two cases.
% 20.17/5.15 |-Branch one:
% 20.17/5.15 | (2478) all_0_191_191 = e21
% 20.17/5.15 |
% 20.17/5.15 | Combining equations (896,2478) yields a new equation:
% 20.17/5.15 | (2479) e23 = e21
% 20.17/5.15 |
% 20.17/5.15 | Simplifying 2479 yields:
% 20.17/5.15 | (2243) e23 = e21
% 20.17/5.15 |
% 20.17/5.15 | Equations (2243) can reduce 600 to:
% 20.17/5.15 | (709) $false
% 20.17/5.15 |
% 20.17/5.15 |-The branch is then unsatisfiable
% 20.17/5.15 |-Branch two:
% 20.17/5.15 | (2482) ~ (all_0_191_191 = e21)
% 20.17/5.15 | (2483) all_0_198_198 = e21 | all_0_202_202 = e21 | all_0_207_207 = e21
% 20.17/5.15 |
% 20.17/5.15 +-Applying beta-rule and splitting (2483), into two cases.
% 20.17/5.15 |-Branch one:
% 20.17/5.15 | (827) all_0_198_198 = e21
% 20.17/5.15 |
% 20.17/5.15 | Combining equations (842,827) yields a new equation:
% 20.17/5.15 | (2256) e21 = e20
% 20.17/5.15 |
% 20.17/5.15 | Equations (2256) can reduce 258 to:
% 20.17/5.15 | (709) $false
% 20.17/5.15 |
% 20.17/5.15 |-The branch is then unsatisfiable
% 20.17/5.15 |-Branch two:
% 20.17/5.15 | (806) ~ (all_0_198_198 = e21)
% 20.17/5.15 | (2488) all_0_202_202 = e21 | all_0_207_207 = e21
% 20.17/5.15 |
% 20.17/5.15 +-Applying beta-rule and splitting (2488), into two cases.
% 20.17/5.15 |-Branch one:
% 20.17/5.15 | (873) all_0_202_202 = e21
% 20.17/5.15 |
% 20.17/5.15 | Combining equations (2348,873) yields a new equation:
% 20.17/5.15 | (2490) e24 = e21
% 20.17/5.15 |
% 20.17/5.15 | Simplifying 2490 yields:
% 20.17/5.15 | (2491) e24 = e21
% 20.17/5.15 |
% 20.17/5.15 | Equations (2491) can reduce 257 to:
% 20.17/5.15 | (709) $false
% 20.17/5.15 |
% 20.17/5.15 |-The branch is then unsatisfiable
% 20.17/5.15 |-Branch two:
% 20.17/5.15 | (807) ~ (all_0_202_202 = e21)
% 20.17/5.15 | (805) all_0_207_207 = e21
% 20.17/5.15 |
% 20.17/5.15 | Equations (805) can reduce 492 to:
% 20.17/5.15 | (2495) ~ (all_0_209_209 = e21)
% 20.17/5.15 |
% 20.17/5.15 | Simplifying 2495 yields:
% 20.17/5.15 | (2452) ~ (all_0_209_209 = e21)
% 20.17/5.15 |
% 20.17/5.15 | Equations (805) can reduce 326 to:
% 20.17/5.15 | (2398) ~ (e24 = e21)
% 20.17/5.15 |
% 20.17/5.15 | Simplifying 2398 yields:
% 20.17/5.15 | (257) ~ (e24 = e21)
% 20.17/5.15 |
% 20.17/5.15 | Equations (805) can reduce 238 to:
% 20.17/5.15 | (884) ~ (e22 = e21)
% 20.17/5.15 |
% 20.17/5.15 | Simplifying 884 yields:
% 20.17/5.15 | (399) ~ (e22 = e21)
% 20.17/5.15 |
% 20.17/5.15 | Equations (805) can reduce 2395 to:
% 20.17/5.15 | (258) ~ (e21 = e20)
% 20.17/5.15 |
% 20.17/5.15 +-Applying beta-rule and splitting (323), into two cases.
% 20.17/5.15 |-Branch one:
% 20.17/5.15 | (2502) all_0_207_207 = e20
% 20.17/5.15 |
% 20.17/5.15 | Combining equations (805,2502) yields a new equation:
% 20.17/5.15 | (2260) e21 = e20
% 20.17/5.15 |
% 20.17/5.15 | Simplifying 2260 yields:
% 20.17/5.15 | (2256) e21 = e20
% 20.17/5.15 |
% 20.17/5.15 | Equations (2256) can reduce 258 to:
% 20.17/5.15 | (709) $false
% 20.17/5.15 |
% 20.17/5.15 |-The branch is then unsatisfiable
% 20.17/5.15 |-Branch two:
% 20.17/5.15 | (2395) ~ (all_0_207_207 = e20)
% 20.17/5.15 | (2507) all_0_208_208 = e20 | all_0_209_209 = e20
% 20.17/5.15 |
% 20.17/5.15 +-Applying beta-rule and splitting (2507), into two cases.
% 20.17/5.15 |-Branch one:
% 20.17/5.15 | (758) all_0_208_208 = e20
% 20.17/5.15 |
% 20.17/5.15 | Combining equations (758,777) yields a new equation:
% 20.17/5.15 | (755) e22 = e20
% 20.17/5.15 |
% 20.17/5.15 | Equations (755) can reduce 479 to:
% 20.17/5.15 | (709) $false
% 20.17/5.15 |
% 20.17/5.15 |-The branch is then unsatisfiable
% 20.17/5.15 |-Branch two:
% 20.17/5.15 | (2334) ~ (all_0_208_208 = e20)
% 20.17/5.15 | (2512) all_0_209_209 = e20
% 20.17/5.15 |
% 20.17/5.15 | Equations (2512) can reduce 2452 to:
% 20.17/5.15 | (761) ~ (e21 = e20)
% 20.17/5.15 |
% 20.17/5.15 | Simplifying 761 yields:
% 20.17/5.15 | (258) ~ (e21 = e20)
% 20.17/5.15 |
% 20.17/5.15 +-Applying beta-rule and splitting (295), into two cases.
% 20.17/5.15 |-Branch one:
% 20.17/5.15 | (873) all_0_202_202 = e21
% 20.17/5.15 |
% 20.17/5.15 | Combining equations (2348,873) yields a new equation:
% 20.17/5.15 | (2490) e24 = e21
% 20.17/5.15 |
% 20.17/5.15 | Simplifying 2490 yields:
% 20.17/5.15 | (2491) e24 = e21
% 20.17/5.15 |
% 20.17/5.15 | Equations (2491) can reduce 257 to:
% 20.17/5.15 | (709) $false
% 20.17/5.15 |
% 20.17/5.15 |-The branch is then unsatisfiable
% 20.17/5.15 |-Branch two:
% 20.17/5.15 | (807) ~ (all_0_202_202 = e21)
% 20.17/5.15 | (876) all_0_203_203 = e21 | all_0_204_204 = e21 | all_0_205_205 = e21
% 20.17/5.15 |
% 20.17/5.15 | Equations (2348) can reduce 807 to:
% 20.17/5.15 | (257) ~ (e24 = e21)
% 20.17/5.15 |
% 20.17/5.15 +-Applying beta-rule and splitting (353), into two cases.
% 20.17/5.15 |-Branch one:
% 20.17/5.15 | (785) all_0_193_193 = e21
% 20.17/5.15 |
% 20.17/5.15 | Combining equations (785,793) yields a new equation:
% 20.17/5.15 | (2491) e24 = e21
% 20.17/5.15 |
% 20.17/5.15 | Equations (2491) can reduce 257 to:
% 20.17/5.15 | (709) $false
% 20.17/5.15 |
% 20.17/5.15 |-The branch is then unsatisfiable
% 20.17/5.15 |-Branch two:
% 20.17/5.15 | (689) ~ (all_0_193_193 = e21)
% 20.17/5.15 | (2526) all_0_199_199 = e21 | all_0_204_204 = e21 | all_0_209_209 = e21
% 20.17/5.15 |
% 20.17/5.15 +-Applying beta-rule and splitting (2526), into two cases.
% 20.17/5.15 |-Branch one:
% 20.17/5.15 | (2527) all_0_199_199 = e21
% 20.17/5.15 |
% 20.17/5.15 | Combining equations (2380,2527) yields a new equation:
% 20.17/5.15 | (878) e22 = e21
% 20.17/5.15 |
% 20.17/5.15 | Simplifying 878 yields:
% 20.17/5.15 | (879) e22 = e21
% 20.17/5.15 |
% 20.17/5.15 | Equations (879) can reduce 399 to:
% 20.17/5.15 | (709) $false
% 20.17/5.15 |
% 20.17/5.15 |-The branch is then unsatisfiable
% 20.17/5.15 |-Branch two:
% 20.17/5.15 | (2439) ~ (all_0_199_199 = e21)
% 20.17/5.15 | (2532) all_0_204_204 = e21 | all_0_209_209 = e21
% 20.17/5.15 |
% 20.17/5.16 +-Applying beta-rule and splitting (2532), into two cases.
% 20.17/5.16 |-Branch one:
% 20.17/5.16 | (902) all_0_204_204 = e21
% 20.17/5.16 |
% 20.17/5.16 | Equations (902) can reduce 2245 to:
% 20.17/5.16 | (709) $false
% 20.17/5.16 |
% 20.17/5.16 |-The branch is then unsatisfiable
% 20.17/5.16 |-Branch two:
% 20.17/5.16 | (2245) ~ (all_0_204_204 = e21)
% 20.17/5.16 | (2283) all_0_209_209 = e21
% 20.17/5.16 |
% 20.17/5.16 | Combining equations (2283,2512) yields a new equation:
% 20.17/5.16 | (2260) e21 = e20
% 20.17/5.16 |
% 20.17/5.16 | Simplifying 2260 yields:
% 20.17/5.16 | (2256) e21 = e20
% 20.17/5.16 |
% 20.17/5.16 | Equations (2256) can reduce 258 to:
% 20.17/5.16 | (709) $false
% 20.17/5.16 |
% 20.17/5.16 |-The branch is then unsatisfiable
% 20.17/5.16 |-Branch two:
% 20.17/5.16 | (2540) ~ (all_0_199_199 = e22)
% 20.17/5.16 | (2541) all_0_204_204 = e22 | all_0_209_209 = e22
% 20.17/5.16 |
% 20.17/5.16 +-Applying beta-rule and splitting (2379), into two cases.
% 20.17/5.16 |-Branch one:
% 20.17/5.16 | (2380) all_0_199_199 = e22
% 20.17/5.16 |
% 20.17/5.16 | Equations (2380) can reduce 2540 to:
% 20.17/5.16 | (709) $false
% 20.17/5.16 |
% 20.17/5.16 |-The branch is then unsatisfiable
% 20.17/5.16 |-Branch two:
% 20.17/5.16 | (2540) ~ (all_0_199_199 = e22)
% 20.17/5.16 | (2268) all_0_200_200 = e22
% 20.17/5.16 |
% 20.17/5.16 | Equations (2268) can reduce 700 to:
% 20.17/5.16 | (709) $false
% 20.17/5.16 |
% 20.17/5.16 |-The branch is then unsatisfiable
% 20.17/5.16 |-Branch two:
% 20.17/5.16 | (2266) ~ (all_0_194_194 = e22)
% 20.17/5.16 | (2548) all_0_194_194 = e23
% 20.17/5.16 |
% 20.17/5.16 | Equations (2548) can reduce 2353 to:
% 20.17/5.16 | (709) $false
% 20.17/5.16 |
% 20.17/5.16 |-The branch is then unsatisfiable
% 20.17/5.16 |-Branch two:
% 20.17/5.16 | (900) ~ (all_0_191_191 = e23)
% 20.17/5.16 | (901) all_0_202_202 = e23 | all_0_207_207 = e23
% 20.17/5.16 |
% 20.17/5.16 +-Applying beta-rule and splitting (901), into two cases.
% 20.17/5.16 |-Branch one:
% 20.17/5.16 | (909) all_0_202_202 = e23
% 20.17/5.16 |
% 20.17/5.16 | Combining equations (909,2348) yields a new equation:
% 20.17/5.16 | (891) e24 = e23
% 20.17/5.16 |
% 20.17/5.16 | Equations (891) can reduce 563 to:
% 20.17/5.16 | (709) $false
% 20.17/5.16 |
% 20.17/5.16 |-The branch is then unsatisfiable
% 20.17/5.16 |-Branch two:
% 20.17/5.16 | (2241) ~ (all_0_202_202 = e23)
% 20.17/5.16 | (2242) all_0_207_207 = e23
% 20.17/5.16 |
% 20.17/5.16 | Equations (2242) can reduce 2322 to:
% 20.17/5.16 | (709) $false
% 20.17/5.16 |
% 20.17/5.16 |-The branch is then unsatisfiable
% 20.17/5.16 |-Branch two:
% 20.17/5.16 | (757) ~ (all_0_203_203 = e20)
% 20.17/5.16 | (726) all_0_203_203 = e22
% 20.17/5.16 |
% 20.17/5.16 | Equations (726) can reduce 2310 to:
% 20.17/5.16 | (709) $false
% 20.17/5.16 |
% 20.17/5.16 |-The branch is then unsatisfiable
% 20.17/5.16 |-Branch two:
% 20.17/5.16 | (2561) ~ (all_0_192_192 = e21)
% 20.17/5.16 | (2562) all_0_192_192 = e22
% 20.17/5.16 |
% 20.17/5.16 | Equations (2562) can reduce 255 to:
% 20.17/5.16 | (2563) ~ (all_0_193_193 = e22)
% 20.17/5.16 |
% 20.17/5.16 | Simplifying 2563 yields:
% 20.17/5.16 | (783) ~ (all_0_193_193 = e22)
% 20.17/5.16 |
% 20.17/5.16 | Equations (2562) can reduce 429 to:
% 20.17/5.16 | (2565) ~ (all_0_194_194 = e22)
% 20.17/5.16 |
% 20.17/5.16 | Simplifying 2565 yields:
% 20.17/5.16 | (2266) ~ (all_0_194_194 = e22)
% 20.17/5.16 |
% 20.17/5.16 | Equations (2562) can reduce 59 to:
% 20.17/5.16 | (2309) ~ (all_0_203_203 = e22)
% 20.17/5.16 |
% 20.17/5.16 | Simplifying 2309 yields:
% 20.17/5.16 | (2310) ~ (all_0_203_203 = e22)
% 20.17/5.16 |
% 20.17/5.16 | Equations (2562) can reduce 526 to:
% 20.17/5.16 | (731) ~ (all_0_208_208 = e22)
% 20.17/5.16 |
% 20.17/5.16 | Simplifying 731 yields:
% 20.17/5.16 | (732) ~ (all_0_208_208 = e22)
% 20.17/5.16 |
% 20.17/5.16 | Equations (2562) can reduce 636 to:
% 20.17/5.16 | (2364) ~ (e24 = e22)
% 20.17/5.16 |
% 20.17/5.16 | Simplifying 2364 yields:
% 20.17/5.16 | (499) ~ (e24 = e22)
% 20.17/5.16 |
% 20.17/5.16 | Equations (2562) can reduce 2561 to:
% 20.17/5.16 | (399) ~ (e22 = e21)
% 20.17/5.16 |
% 20.17/5.16 | From (2562) and (586) follows:
% 20.17/5.16 | (2574) op2(e22, all_0_197_197) = e22
% 20.17/5.16 |
% 20.17/5.16 | From (2562) and (142) follows:
% 20.17/5.16 | (2575) op2(all_0_197_197, e22) = e24
% 20.17/5.16 |
% 20.17/5.16 +-Applying beta-rule and splitting (60), into two cases.
% 20.17/5.16 |-Branch one:
% 20.17/5.16 | (823) all_0_195_195 = e20
% 20.17/5.16 |
% 20.17/5.16 | Equations (823) can reduce 161 to:
% 20.17/5.16 | (2577) ~ (all_0_196_196 = e20)
% 20.17/5.16 |
% 20.17/5.16 | Simplifying 2577 yields:
% 20.17/5.16 | (865) ~ (all_0_196_196 = e20)
% 20.17/5.16 |
% 20.17/5.16 | Equations (823) can reduce 434 to:
% 20.17/5.16 | (2579) ~ (all_0_209_209 = e20)
% 20.17/5.16 |
% 20.17/5.16 | Simplifying 2579 yields:
% 20.17/5.16 | (2580) ~ (all_0_209_209 = e20)
% 20.17/5.16 |
% 20.17/5.16 +-Applying beta-rule and splitting (370), into two cases.
% 20.17/5.16 |-Branch one:
% 20.17/5.16 | (861) all_0_196_196 = e20
% 20.17/5.16 |
% 20.17/5.16 | Equations (861) can reduce 865 to:
% 20.17/5.16 | (709) $false
% 20.17/5.16 |
% 20.17/5.16 |-The branch is then unsatisfiable
% 20.17/5.16 |-Branch two:
% 20.17/5.16 | (865) ~ (all_0_196_196 = e20)
% 20.17/5.16 | (820) all_0_196_196 = e23
% 20.17/5.16 |
% 20.17/5.16 | Equations (820) can reduce 449 to:
% 20.17/5.16 | (2353) ~ (all_0_194_194 = e23)
% 20.17/5.16 |
% 20.17/5.16 +-Applying beta-rule and splitting (537), into two cases.
% 20.17/5.16 |-Branch one:
% 20.17/5.16 | (877) all_0_194_194 = e21
% 20.17/5.16 |
% 20.17/5.16 | Equations (877) can reduce 386 to:
% 20.17/5.16 | (2587) ~ (all_0_200_200 = e21)
% 20.17/5.16 |
% 20.17/5.16 | Simplifying 2587 yields:
% 20.17/5.16 | (2258) ~ (all_0_200_200 = e21)
% 20.17/5.16 |
% 20.17/5.16 +-Applying beta-rule and splitting (325), into two cases.
% 20.17/5.16 |-Branch one:
% 20.17/5.16 | (698) all_0_197_197 = e22
% 20.17/5.16 |
% 20.17/5.16 | Equations (698) can reduce 191 to:
% 20.17/5.16 | (2590) ~ (all_0_199_199 = e22)
% 20.17/5.16 |
% 20.17/5.16 | Simplifying 2590 yields:
% 20.17/5.16 | (2540) ~ (all_0_199_199 = e22)
% 20.17/5.16 |
% 20.17/5.16 | Equations (698) can reduce 482 to:
% 20.17/5.16 | (699) ~ (all_0_200_200 = e22)
% 20.17/5.16 |
% 20.17/5.16 | Simplifying 699 yields:
% 20.17/5.16 | (700) ~ (all_0_200_200 = e22)
% 20.17/5.16 |
% 20.17/5.16 | Equations (698) can reduce 5 to:
% 20.17/5.16 | (703) ~ (all_0_206_206 = e22)
% 20.17/5.16 |
% 20.17/5.16 | Simplifying 703 yields:
% 20.17/5.16 | (704) ~ (all_0_206_206 = e22)
% 20.17/5.16 |
% 20.17/5.16 | Equations (698) can reduce 38 to:
% 20.17/5.16 | (399) ~ (e22 = e21)
% 20.17/5.16 |
% 20.17/5.16 | From (698) and (2575) follows:
% 20.17/5.16 | (2597) op2(e22, e22) = e24
% 20.17/5.16 |
% 20.17/5.16 | From (698) and (2574) follows:
% 20.17/5.16 | (2598) op2(e22, e22) = e22
% 20.17/5.16 |
% 20.17/5.16 +-Applying beta-rule and splitting (45), into two cases.
% 20.17/5.16 |-Branch one:
% 20.17/5.16 | (831) all_0_194_194 = e22
% 20.17/5.16 |
% 20.17/5.16 | Combining equations (877,831) yields a new equation:
% 20.17/5.16 | (879) e22 = e21
% 20.17/5.16 |
% 20.17/5.16 | Equations (879) can reduce 399 to:
% 20.17/5.16 | (709) $false
% 20.17/5.16 |
% 20.17/5.16 |-The branch is then unsatisfiable
% 20.17/5.16 |-Branch two:
% 20.17/5.16 | (2266) ~ (all_0_194_194 = e22)
% 20.17/5.16 | (2267) all_0_200_200 = e22 | all_0_205_205 = e22
% 20.17/5.16 |
% 20.17/5.16 +-Applying beta-rule and splitting (2267), into two cases.
% 20.17/5.16 |-Branch one:
% 20.17/5.16 | (2268) all_0_200_200 = e22
% 20.17/5.16 |
% 20.17/5.16 | Equations (2268) can reduce 700 to:
% 20.17/5.16 | (709) $false
% 20.17/5.16 |
% 20.17/5.16 |-The branch is then unsatisfiable
% 20.17/5.16 |-Branch two:
% 20.17/5.16 | (700) ~ (all_0_200_200 = e22)
% 20.17/5.16 | (2271) all_0_205_205 = e22
% 20.17/5.16 |
% 20.17/5.16 | Equations (2271) can reduce 605 to:
% 20.17/5.16 | (2608) ~ (all_0_204_204 = e22)
% 20.17/5.16 |
% 20.17/5.16 | From (2271) and (28) follows:
% 20.17/5.16 | (2609) op2(e22, all_0_209_209) = e20
% 20.17/5.16 |
% 20.17/5.16 | From (2271) and (50) follows:
% 20.17/5.16 | (2610) op2(all_0_209_209, e22) = e21
% 20.17/5.16 |
% 20.17/5.16 +-Applying beta-rule and splitting (139), into two cases.
% 20.17/5.16 |-Branch one:
% 20.17/5.16 | (708) all_0_206_206 = e22
% 20.17/5.17 |
% 20.17/5.17 | Equations (708) can reduce 704 to:
% 20.17/5.17 | (709) $false
% 20.17/5.17 |
% 20.17/5.17 |-The branch is then unsatisfiable
% 20.17/5.17 |-Branch two:
% 20.17/5.17 | (704) ~ (all_0_206_206 = e22)
% 20.17/5.17 | (711) all_0_206_206 = e23
% 20.17/5.17 |
% 20.17/5.17 | Equations (711) can reduce 272 to:
% 20.17/5.17 | (383) ~ (e23 = e20)
% 20.17/5.17 |
% 20.17/5.17 +-Applying beta-rule and splitting (392), into two cases.
% 20.17/5.17 |-Branch one:
% 20.17/5.17 | (789) all_0_193_193 = e22
% 20.17/5.17 |
% 20.17/5.17 | Equations (789) can reduce 783 to:
% 20.17/5.17 | (709) $false
% 20.17/5.17 |
% 20.17/5.17 |-The branch is then unsatisfiable
% 20.17/5.17 |-Branch two:
% 20.17/5.17 | (783) ~ (all_0_193_193 = e22)
% 20.17/5.17 | (2373) all_0_199_199 = e22 | all_0_204_204 = e22 | all_0_209_209 = e22
% 20.17/5.17 |
% 20.17/5.17 +-Applying beta-rule and splitting (2373), into two cases.
% 20.17/5.17 |-Branch one:
% 20.17/5.17 | (2380) all_0_199_199 = e22
% 20.17/5.17 |
% 20.17/5.17 | Equations (2380) can reduce 2540 to:
% 20.17/5.17 | (709) $false
% 20.17/5.17 |
% 20.17/5.17 |-The branch is then unsatisfiable
% 20.17/5.17 |-Branch two:
% 20.17/5.17 | (2540) ~ (all_0_199_199 = e22)
% 20.17/5.17 | (2541) all_0_204_204 = e22 | all_0_209_209 = e22
% 20.17/5.17 |
% 20.17/5.17 +-Applying beta-rule and splitting (2541), into two cases.
% 20.17/5.17 |-Branch one:
% 20.17/5.17 | (2624) all_0_204_204 = e22
% 20.17/5.17 |
% 20.17/5.17 | Equations (2624) can reduce 2608 to:
% 20.17/5.17 | (709) $false
% 20.17/5.17 |
% 20.17/5.17 |-The branch is then unsatisfiable
% 20.17/5.17 |-Branch two:
% 20.17/5.17 | (2608) ~ (all_0_204_204 = e22)
% 20.17/5.17 | (782) all_0_209_209 = e22
% 20.17/5.17 |
% 20.17/5.17 | Equations (782) can reduce 2580 to:
% 20.17/5.17 | (479) ~ (e22 = e20)
% 20.17/5.17 |
% 20.17/5.17 | From (782) and (2610) follows:
% 20.17/5.17 | (2629) op2(e22, e22) = e21
% 20.17/5.17 |
% 20.17/5.17 | From (782) and (2609) follows:
% 20.17/5.17 | (2630) op2(e22, e22) = e20
% 20.17/5.17 |
% 20.17/5.17 +-Applying beta-rule and splitting (221), into two cases.
% 20.17/5.17 |-Branch one:
% 20.17/5.17 | (883) all_0_200_200 = e21
% 20.17/5.17 |
% 20.17/5.17 | Equations (883) can reduce 2258 to:
% 20.17/5.17 | (709) $false
% 20.17/5.17 |
% 20.17/5.17 |-The branch is then unsatisfiable
% 20.17/5.17 |-Branch two:
% 20.17/5.17 | (2258) ~ (all_0_200_200 = e21)
% 20.17/5.17 | (2634) all_0_200_200 = e22 | all_0_200_200 = e20
% 20.17/5.17 |
% 20.17/5.17 +-Applying beta-rule and splitting (646), into two cases.
% 20.17/5.17 |-Branch one:
% 20.17/5.17 | (861) all_0_196_196 = e20
% 20.17/5.17 |
% 20.17/5.17 | Combining equations (861,820) yields a new equation:
% 20.17/5.17 | (863) e23 = e20
% 20.17/5.17 |
% 20.17/5.17 | Equations (863) can reduce 383 to:
% 20.17/5.17 | (709) $false
% 20.17/5.17 |
% 20.17/5.17 |-The branch is then unsatisfiable
% 20.17/5.17 |-Branch two:
% 20.17/5.17 | (865) ~ (all_0_196_196 = e20)
% 20.17/5.17 | (866) all_0_200_200 = e20 | all_0_205_205 = e20
% 20.17/5.17 |
% 20.17/5.17 +-Applying beta-rule and splitting (866), into two cases.
% 20.17/5.17 |-Branch one:
% 20.17/5.17 | (867) all_0_200_200 = e20
% 20.17/5.17 |
% 20.17/5.17 | Equations (867) can reduce 2258 to:
% 20.17/5.17 | (761) ~ (e21 = e20)
% 20.17/5.17 |
% 20.17/5.17 | Simplifying 761 yields:
% 20.17/5.17 | (258) ~ (e21 = e20)
% 20.17/5.17 |
% 20.17/5.17 | Instantiating formula (7) with e22, e22, e24, e23 and discharging atoms op2(e22, e22) = e24, op2(e22, e22) = e23, yields:
% 20.17/5.17 | (891) e24 = e23
% 20.17/5.17 |
% 20.17/5.17 | Instantiating formula (7) with e22, e22, e22, e24 and discharging atoms op2(e22, e22) = e24, op2(e22, e22) = e22, yields:
% 20.17/5.17 | (2370) e24 = e22
% 20.17/5.17 |
% 20.17/5.17 | Instantiating formula (7) with e22, e22, e21, e24 and discharging atoms op2(e22, e22) = e24, op2(e22, e22) = e21, yields:
% 20.17/5.17 | (2491) e24 = e21
% 20.17/5.17 |
% 20.17/5.17 | Instantiating formula (7) with e22, e22, e20, e24 and discharging atoms op2(e22, e22) = e24, op2(e22, e22) = e20, yields:
% 20.17/5.17 | (2646) e24 = e20
% 20.17/5.17 |
% 20.17/5.17 | Combining equations (2646,891) yields a new equation:
% 20.17/5.17 | (863) e23 = e20
% 20.17/5.17 |
% 20.17/5.17 | Combining equations (2370,891) yields a new equation:
% 20.17/5.17 | (773) e23 = e22
% 20.17/5.17 |
% 20.17/5.17 | Combining equations (2491,891) yields a new equation:
% 20.17/5.17 | (2243) e23 = e21
% 20.17/5.17 |
% 20.17/5.17 | Combining equations (863,773) yields a new equation:
% 20.17/5.17 | (755) e22 = e20
% 20.17/5.17 |
% 20.17/5.17 | Combining equations (2243,773) yields a new equation:
% 20.17/5.17 | (879) e22 = e21
% 20.17/5.17 |
% 20.17/5.17 | Combining equations (755,879) yields a new equation:
% 20.17/5.17 | (2256) e21 = e20
% 20.17/5.17 |
% 20.17/5.17 | Equations (2256) can reduce 258 to:
% 20.17/5.17 | (709) $false
% 20.17/5.17 |
% 20.17/5.17 |-The branch is then unsatisfiable
% 20.17/5.17 |-Branch two:
% 20.17/5.17 | (844) ~ (all_0_200_200 = e20)
% 20.17/5.17 | (870) all_0_205_205 = e20
% 20.17/5.17 |
% 20.17/5.17 | Combining equations (870,2271) yields a new equation:
% 20.17/5.17 | (755) e22 = e20
% 20.17/5.17 |
% 20.17/5.17 | Equations (755) can reduce 479 to:
% 20.17/5.17 | (709) $false
% 20.17/5.17 |
% 20.17/5.17 |-The branch is then unsatisfiable
% 20.17/5.17 |-Branch two:
% 20.17/5.17 | (2292) ~ (all_0_197_197 = e22)
% 20.17/5.17 | (2293) all_0_197_197 = e24
% 20.17/5.17 |
% 20.17/5.17 | Equations (2293) can reduce 2292 to:
% 20.17/5.17 | (499) ~ (e24 = e22)
% 20.17/5.17 |
% 20.17/5.17 | From (2293) and (2574) follows:
% 20.17/5.17 | (746) op2(e22, e24) = e22
% 20.17/5.17 |
% 20.17/5.17 | From (2293) and (58) follows:
% 20.17/5.17 | (2662) op2(e22, e24) = e24
% 20.17/5.17 |
% 20.17/5.17 | Instantiating formula (7) with e22, e24, e22, e24 and discharging atoms op2(e22, e24) = e24, op2(e22, e24) = e22, yields:
% 20.17/5.17 | (2370) e24 = e22
% 20.17/5.17 |
% 20.17/5.17 | Equations (2370) can reduce 499 to:
% 20.17/5.17 | (709) $false
% 20.17/5.17 |
% 20.17/5.17 |-The branch is then unsatisfiable
% 20.17/5.17 |-Branch two:
% 20.17/5.17 | (691) ~ (all_0_194_194 = e21)
% 20.17/5.17 | (2358) all_0_194_194 = e23 | all_0_194_194 = e22
% 20.17/5.17 |
% 20.17/5.17 +-Applying beta-rule and splitting (2358), into two cases.
% 20.17/5.17 |-Branch one:
% 20.17/5.17 | (831) all_0_194_194 = e22
% 20.17/5.17 |
% 20.17/5.17 | Equations (831) can reduce 2266 to:
% 20.17/5.17 | (709) $false
% 20.17/5.17 |
% 20.17/5.17 |-The branch is then unsatisfiable
% 20.17/5.17 |-Branch two:
% 20.17/5.17 | (2266) ~ (all_0_194_194 = e22)
% 20.17/5.17 | (2548) all_0_194_194 = e23
% 20.17/5.17 |
% 20.17/5.17 | Equations (2548) can reduce 2353 to:
% 20.17/5.17 | (709) $false
% 20.17/5.17 |
% 20.17/5.17 |-The branch is then unsatisfiable
% 20.17/5.17 |-Branch two:
% 20.17/5.17 | (2273) ~ (all_0_195_195 = e20)
% 20.17/5.17 | (861) all_0_196_196 = e20
% 20.17/5.17 |
% 20.17/5.17 | Equations (861) can reduce 509 to:
% 20.17/5.17 | (843) ~ (all_0_200_200 = e20)
% 20.17/5.17 |
% 20.17/5.17 | Simplifying 843 yields:
% 20.17/5.17 | (844) ~ (all_0_200_200 = e20)
% 20.17/5.17 |
% 20.17/5.17 | Equations (861) can reduce 341 to:
% 20.17/5.17 | (2331) ~ (all_0_205_205 = e20)
% 20.17/5.17 |
% 20.17/5.17 | Simplifying 2331 yields:
% 20.17/5.17 | (2332) ~ (all_0_205_205 = e20)
% 20.17/5.17 |
% 20.17/5.17 | Equations (861) can reduce 242 to:
% 20.17/5.17 | (761) ~ (e21 = e20)
% 20.17/5.17 |
% 20.17/5.17 | Simplifying 761 yields:
% 20.17/5.17 | (258) ~ (e21 = e20)
% 20.17/5.17 |
% 20.17/5.17 | From (861) and (645) follows:
% 20.17/5.17 | (2680) op2(e20, all_0_207_207) = e20
% 20.17/5.17 |
% 20.17/5.17 | From (861) and (331) follows:
% 20.17/5.17 | (2681) op2(all_0_207_207, e20) = e23
% 20.17/5.17 |
% 20.17/5.17 | From (861) and (180) follows:
% 20.17/5.17 | (2682) op2(e23, e20) = e20
% 20.17/5.17 |
% 20.17/5.17 +-Applying beta-rule and splitting (8), into two cases.
% 20.17/5.17 |-Branch one:
% 20.17/5.17 | (817) all_0_195_195 = e23
% 20.17/5.17 |
% 20.17/5.17 | Equations (817) can reduce 572 to:
% 20.17/5.17 | (2684) ~ (all_0_193_193 = e23)
% 20.17/5.17 |
% 20.17/5.17 | Equations (817) can reduce 337 to:
% 20.17/5.17 | (2685) ~ (all_0_199_199 = e23)
% 20.17/5.17 |
% 20.17/5.17 | Simplifying 2685 yields:
% 20.17/5.17 | (569) ~ (all_0_199_199 = e23)
% 20.17/5.17 |
% 20.17/5.17 | Equations (817) can reduce 434 to:
% 20.17/5.17 | (2687) ~ (all_0_209_209 = e23)
% 20.17/5.17 |
% 20.17/5.17 | Simplifying 2687 yields:
% 20.17/5.17 | (2688) ~ (all_0_209_209 = e23)
% 20.17/5.17 |
% 20.17/5.17 | Equations (817) can reduce 115 to:
% 20.17/5.17 | (665) ~ (e23 = e22)
% 20.17/5.17 |
% 20.17/5.17 | From (817) and (9) follows:
% 20.17/5.17 | (2690) op2(all_0_202_202, e23) = e23
% 20.17/5.17 |
% 20.17/5.17 +-Applying beta-rule and splitting (198), into two cases.
% 20.17/5.17 |-Branch one:
% 20.17/5.17 | (754) all_0_203_203 = e20
% 20.17/5.17 |
% 20.17/5.17 | Equations (754) can reduce 14 to:
% 20.17/5.17 | (546) ~ (all_0_201_201 = e20)
% 20.17/5.17 |
% 20.17/5.17 | Equations (754) can reduce 411 to:
% 20.17/5.17 | (2333) ~ (all_0_208_208 = e20)
% 20.17/5.17 |
% 20.17/5.17 | Simplifying 2333 yields:
% 20.17/5.17 | (2334) ~ (all_0_208_208 = e20)
% 20.17/5.17 |
% 20.17/5.17 | Equations (754) can reduce 2310 to:
% 20.17/5.17 | (759) ~ (e22 = e20)
% 20.17/5.17 |
% 20.17/5.17 | Simplifying 759 yields:
% 20.17/5.17 | (479) ~ (e22 = e20)
% 20.17/5.17 |
% 20.17/5.17 | From (754) and (174) follows:
% 20.17/5.17 | (2335) op2(all_0_199_199, e20) = e21
% 20.17/5.17 |
% 20.17/5.17 | From (754) and (637) follows:
% 20.17/5.17 | (2698) op2(e20, all_0_199_199) = e22
% 20.17/5.17 |
% 20.17/5.17 +-Applying beta-rule and splitting (103), into two cases.
% 20.17/5.17 |-Branch one:
% 20.17/5.17 | (2279) all_0_208_208 = e21
% 20.17/5.17 |
% 20.17/5.17 | Equations (2279) can reduce 545 to:
% 20.17/5.17 | (2277) ~ (all_0_207_207 = e21)
% 20.17/5.17 |
% 20.17/5.17 | Equations (2279) can reduce 30 to:
% 20.17/5.17 | (2495) ~ (all_0_209_209 = e21)
% 20.17/5.17 |
% 20.17/5.18 | Simplifying 2495 yields:
% 20.17/5.18 | (2452) ~ (all_0_209_209 = e21)
% 20.17/5.18 |
% 20.17/5.18 | Equations (2279) can reduce 732 to:
% 20.17/5.18 | (884) ~ (e22 = e21)
% 20.17/5.18 |
% 20.17/5.18 | Simplifying 884 yields:
% 20.17/5.18 | (399) ~ (e22 = e21)
% 20.17/5.18 |
% 20.17/5.18 | Equations (2279) can reduce 2334 to:
% 20.17/5.18 | (258) ~ (e21 = e20)
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (139), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (708) all_0_206_206 = e22
% 20.17/5.18 |
% 20.17/5.18 | Equations (708) can reduce 5 to:
% 20.17/5.18 | (2292) ~ (all_0_197_197 = e22)
% 20.17/5.18 |
% 20.17/5.18 | Equations (708) can reduce 373 to:
% 20.17/5.18 | (2708) ~ (all_0_209_209 = e22)
% 20.17/5.18 |
% 20.17/5.18 | Simplifying 2708 yields:
% 20.17/5.18 | (2709) ~ (all_0_209_209 = e22)
% 20.17/5.18 |
% 20.17/5.18 | From (708) and (364) follows:
% 20.17/5.18 | (2710) op2(e20, e24) = e22
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (325), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (698) all_0_197_197 = e22
% 20.17/5.18 |
% 20.17/5.18 | Equations (698) can reduce 2292 to:
% 20.17/5.18 | (709) $false
% 20.17/5.18 |
% 20.17/5.18 |-The branch is then unsatisfiable
% 20.17/5.18 |-Branch two:
% 20.17/5.18 | (2292) ~ (all_0_197_197 = e22)
% 20.17/5.18 | (2293) all_0_197_197 = e24
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (281), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (890) all_0_201_201 = e23
% 20.17/5.18 |
% 20.17/5.18 | Equations (890) can reduce 148 to:
% 20.17/5.18 | (2716) ~ (all_0_205_205 = e23)
% 20.17/5.18 |
% 20.17/5.18 | Simplifying 2716 yields:
% 20.17/5.18 | (2717) ~ (all_0_205_205 = e23)
% 20.17/5.18 |
% 20.17/5.18 | Equations (890) can reduce 546 to:
% 20.17/5.18 | (383) ~ (e23 = e20)
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (34), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (2548) all_0_194_194 = e23
% 20.17/5.18 |
% 20.17/5.18 | From (2548) and (378) follows:
% 20.17/5.18 | (2720) op2(e23, e20) = all_0_3_3
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (309), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (2283) all_0_209_209 = e21
% 20.17/5.18 |
% 20.17/5.18 | Equations (2283) can reduce 2452 to:
% 20.17/5.18 | (709) $false
% 20.17/5.18 |
% 20.17/5.18 |-The branch is then unsatisfiable
% 20.17/5.18 |-Branch two:
% 20.17/5.18 | (2452) ~ (all_0_209_209 = e21)
% 20.17/5.18 | (2724) all_0_209_209 = e23 | all_0_209_209 = e22 | all_0_209_209 = e20
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (2724), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (2512) all_0_209_209 = e20
% 20.17/5.18 |
% 20.17/5.18 | Equations (2512) can reduce 643 to:
% 20.17/5.18 | (2726) ~ (all_0_199_199 = e20)
% 20.17/5.18 |
% 20.17/5.18 | Equations (2512) can reduce 492 to:
% 20.17/5.18 | (2395) ~ (all_0_207_207 = e20)
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (275), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (805) all_0_207_207 = e21
% 20.17/5.18 |
% 20.17/5.18 | Equations (805) can reduce 2277 to:
% 20.17/5.18 | (709) $false
% 20.17/5.18 |
% 20.17/5.18 |-The branch is then unsatisfiable
% 20.17/5.18 |-Branch two:
% 20.17/5.18 | (2277) ~ (all_0_207_207 = e21)
% 20.17/5.18 | (2731) all_0_207_207 = e23 | all_0_207_207 = e20
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (2731), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (2502) all_0_207_207 = e20
% 20.17/5.18 |
% 20.17/5.18 | Equations (2502) can reduce 2395 to:
% 20.17/5.18 | (709) $false
% 20.17/5.18 |
% 20.17/5.18 |-The branch is then unsatisfiable
% 20.17/5.18 |-Branch two:
% 20.17/5.18 | (2395) ~ (all_0_207_207 = e20)
% 20.17/5.18 | (2242) all_0_207_207 = e23
% 20.17/5.18 |
% 20.17/5.18 | From (2242) and (2681) follows:
% 20.17/5.18 | (910) op2(e23, e20) = e23
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (288), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (865) ~ (all_0_196_196 = e20)
% 20.17/5.18 |
% 20.17/5.18 | Equations (861) can reduce 865 to:
% 20.17/5.18 | (709) $false
% 20.17/5.18 |
% 20.17/5.18 |-The branch is then unsatisfiable
% 20.17/5.18 |-Branch two:
% 20.17/5.18 | (861) all_0_196_196 = e20
% 20.17/5.18 | (2429) ( ~ (all_0_191_191 = e23) & ~ (all_0_192_192 = e22) & ~ (all_0_193_193 = e21)) | ( ~ (all_0_197_197 = e24) & ~ (all_0_199_199 = e21) & ~ (all_0_200_200 = e20)) | ( ~ (all_0_201_201 = e24) & ~ (all_0_202_202 = e23) & ~ (all_0_203_203 = e22) & ~ (all_0_204_204 = e21) & ~ (all_0_205_205 = e20)) | ( ~ (all_0_207_207 = e23) & ~ (all_0_208_208 = e22) & ~ (all_0_209_209 = e21))
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (80), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (842) all_0_198_198 = e20
% 20.17/5.18 |
% 20.17/5.18 | From (842) and (614) follows:
% 20.17/5.18 | (855) op2(e20, e24) = e23
% 20.17/5.18 |
% 20.17/5.18 | From (842) and (495) follows:
% 20.17/5.18 | (859) op2(e23, e20) = all_0_73_73
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (2429), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (2430) ( ~ (all_0_191_191 = e23) & ~ (all_0_192_192 = e22) & ~ (all_0_193_193 = e21)) | ( ~ (all_0_197_197 = e24) & ~ (all_0_199_199 = e21) & ~ (all_0_200_200 = e20)) | ( ~ (all_0_201_201 = e24) & ~ (all_0_202_202 = e23) & ~ (all_0_203_203 = e22) & ~ (all_0_204_204 = e21) & ~ (all_0_205_205 = e20))
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (2430), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (2431) ( ~ (all_0_191_191 = e23) & ~ (all_0_192_192 = e22) & ~ (all_0_193_193 = e21)) | ( ~ (all_0_197_197 = e24) & ~ (all_0_199_199 = e21) & ~ (all_0_200_200 = e20))
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (2431), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (2432) ~ (all_0_191_191 = e23) & ~ (all_0_192_192 = e22) & ~ (all_0_193_193 = e21)
% 20.17/5.18 |
% 20.17/5.18 | Applying alpha-rule on (2432) yields:
% 20.17/5.18 | (900) ~ (all_0_191_191 = e23)
% 20.17/5.18 | (2434) ~ (all_0_192_192 = e22)
% 20.17/5.18 | (689) ~ (all_0_193_193 = e21)
% 20.17/5.18 |
% 20.17/5.18 | Equations (2562) can reduce 2434 to:
% 20.17/5.18 | (709) $false
% 20.17/5.18 |
% 20.17/5.18 |-The branch is then unsatisfiable
% 20.17/5.18 |-Branch two:
% 20.17/5.18 | (2437) ~ (all_0_197_197 = e24) & ~ (all_0_199_199 = e21) & ~ (all_0_200_200 = e20)
% 20.17/5.18 |
% 20.17/5.18 | Applying alpha-rule on (2437) yields:
% 20.17/5.18 | (2438) ~ (all_0_197_197 = e24)
% 20.17/5.18 | (2439) ~ (all_0_199_199 = e21)
% 20.17/5.18 | (844) ~ (all_0_200_200 = e20)
% 20.17/5.18 |
% 20.17/5.18 | Equations (2293) can reduce 2438 to:
% 20.17/5.18 | (709) $false
% 20.17/5.18 |
% 20.17/5.18 |-The branch is then unsatisfiable
% 20.17/5.18 |-Branch two:
% 20.17/5.18 | (2442) ~ (all_0_201_201 = e24) & ~ (all_0_202_202 = e23) & ~ (all_0_203_203 = e22) & ~ (all_0_204_204 = e21) & ~ (all_0_205_205 = e20)
% 20.17/5.18 |
% 20.17/5.18 | Applying alpha-rule on (2442) yields:
% 20.17/5.18 | (2245) ~ (all_0_204_204 = e21)
% 20.17/5.18 | (2289) ~ (all_0_201_201 = e24)
% 20.17/5.18 | (2310) ~ (all_0_203_203 = e22)
% 20.17/5.18 | (2332) ~ (all_0_205_205 = e20)
% 20.17/5.18 | (2241) ~ (all_0_202_202 = e23)
% 20.17/5.18 |
% 20.17/5.18 | Equations (754) can reduce 2310 to:
% 20.17/5.18 | (759) ~ (e22 = e20)
% 20.17/5.18 |
% 20.17/5.18 | Simplifying 759 yields:
% 20.17/5.18 | (479) ~ (e22 = e20)
% 20.17/5.18 |
% 20.17/5.18 | Instantiating formula (7) with e23, e20, all_0_73_73, e20 and discharging atoms op2(e23, e20) = all_0_73_73, op2(e23, e20) = e20, yields:
% 20.17/5.18 | (2764) all_0_73_73 = e20
% 20.17/5.18 |
% 20.17/5.18 | Instantiating formula (7) with e23, e20, all_0_73_73, all_0_3_3 and discharging atoms op2(e23, e20) = all_0_3_3, op2(e23, e20) = all_0_73_73, yields:
% 20.17/5.18 | (2765) all_0_3_3 = all_0_73_73
% 20.17/5.18 |
% 20.17/5.18 | Instantiating formula (7) with e23, e20, e23, all_0_3_3 and discharging atoms op2(e23, e20) = all_0_3_3, op2(e23, e20) = e23, yields:
% 20.17/5.18 | (2766) all_0_3_3 = e23
% 20.17/5.18 |
% 20.17/5.18 | Instantiating formula (7) with e20, e24, e22, e23 and discharging atoms op2(e20, e24) = e23, op2(e20, e24) = e22, yields:
% 20.17/5.18 | (773) e23 = e22
% 20.17/5.18 |
% 20.17/5.18 | Combining equations (2765,2766) yields a new equation:
% 20.17/5.18 | (2768) all_0_73_73 = e23
% 20.17/5.18 |
% 20.17/5.18 | Simplifying 2768 yields:
% 20.17/5.18 | (917) all_0_73_73 = e23
% 20.17/5.18 |
% 20.17/5.18 | Combining equations (917,2764) yields a new equation:
% 20.17/5.18 | (862) e23 = e20
% 20.17/5.18 |
% 20.17/5.18 | Simplifying 862 yields:
% 20.17/5.18 | (863) e23 = e20
% 20.17/5.18 |
% 20.17/5.18 | Combining equations (773,863) yields a new equation:
% 20.17/5.18 | (778) e22 = e20
% 20.17/5.18 |
% 20.17/5.18 | Simplifying 778 yields:
% 20.17/5.18 | (755) e22 = e20
% 20.17/5.18 |
% 20.17/5.18 | Equations (755) can reduce 479 to:
% 20.17/5.18 | (709) $false
% 20.17/5.18 |
% 20.17/5.18 |-The branch is then unsatisfiable
% 20.17/5.18 |-Branch two:
% 20.17/5.18 | (2449) ~ (all_0_207_207 = e23) & ~ (all_0_208_208 = e22) & ~ (all_0_209_209 = e21)
% 20.17/5.18 |
% 20.17/5.18 | Applying alpha-rule on (2449) yields:
% 20.17/5.18 | (2322) ~ (all_0_207_207 = e23)
% 20.17/5.18 | (732) ~ (all_0_208_208 = e22)
% 20.17/5.18 | (2452) ~ (all_0_209_209 = e21)
% 20.17/5.18 |
% 20.17/5.18 | Equations (2242) can reduce 2322 to:
% 20.17/5.18 | (709) $false
% 20.17/5.18 |
% 20.17/5.18 |-The branch is then unsatisfiable
% 20.17/5.18 |-Branch two:
% 20.17/5.18 | (1453) ~ (all_0_198_198 = e20)
% 20.17/5.18 | (2781) all_0_199_199 = e20 | all_0_200_200 = e20
% 20.17/5.18 |
% 20.17/5.18 +-Applying beta-rule and splitting (2781), into two cases.
% 20.17/5.18 |-Branch one:
% 20.17/5.18 | (2782) all_0_199_199 = e20
% 20.17/5.18 |
% 20.17/5.18 | Equations (2782) can reduce 2726 to:
% 20.17/5.18 | (709) $false
% 20.17/5.18 |
% 20.17/5.18 |-The branch is then unsatisfiable
% 20.17/5.18 |-Branch two:
% 20.17/5.18 | (2726) ~ (all_0_199_199 = e20)
% 20.17/5.18 | (867) all_0_200_200 = e20
% 20.17/5.18 |
% 20.17/5.18 | Equations (867) can reduce 844 to:
% 20.17/5.18 | (709) $false
% 20.17/5.18 |
% 20.17/5.18 |-The branch is then unsatisfiable
% 20.17/5.19 |-Branch two:
% 20.17/5.19 | (2580) ~ (all_0_209_209 = e20)
% 20.17/5.19 | (2788) all_0_209_209 = e23 | all_0_209_209 = e22
% 20.17/5.19 |
% 20.17/5.19 +-Applying beta-rule and splitting (2788), into two cases.
% 20.17/5.19 |-Branch one:
% 20.17/5.19 | (782) all_0_209_209 = e22
% 20.17/5.19 |
% 20.17/5.19 | Equations (782) can reduce 2709 to:
% 20.17/5.19 | (709) $false
% 20.17/5.19 |
% 20.17/5.19 |-The branch is then unsatisfiable
% 20.17/5.19 |-Branch two:
% 20.17/5.19 | (2709) ~ (all_0_209_209 = e22)
% 20.17/5.19 | (2792) all_0_209_209 = e23
% 20.17/5.19 |
% 20.17/5.19 | Equations (2792) can reduce 2688 to:
% 20.17/5.19 | (709) $false
% 20.17/5.19 |
% 20.17/5.19 |-The branch is then unsatisfiable
% 20.17/5.19 |-Branch two:
% 20.17/5.19 | (2353) ~ (all_0_194_194 = e23)
% 20.17/5.19 | (2795) all_0_196_196 = e23 | all_0_205_205 = e23
% 20.17/5.19 |
% 20.17/5.19 +-Applying beta-rule and splitting (2795), into two cases.
% 20.17/5.19 |-Branch one:
% 20.17/5.19 | (820) all_0_196_196 = e23
% 20.17/5.19 |
% 20.17/5.19 | Combining equations (861,820) yields a new equation:
% 20.17/5.19 | (863) e23 = e20
% 20.17/5.19 |
% 20.17/5.19 | Equations (863) can reduce 383 to:
% 20.17/5.19 | (709) $false
% 20.17/5.19 |
% 20.17/5.19 |-The branch is then unsatisfiable
% 20.17/5.19 |-Branch two:
% 20.17/5.19 | (2799) ~ (all_0_196_196 = e23)
% 20.17/5.19 | (2418) all_0_205_205 = e23
% 20.17/5.19 |
% 20.17/5.19 | Equations (2418) can reduce 2717 to:
% 20.17/5.19 | (709) $false
% 20.17/5.19 |
% 20.17/5.19 |-The branch is then unsatisfiable
% 20.17/5.19 |-Branch two:
% 20.17/5.19 | (712) ~ (all_0_201_201 = e23)
% 20.17/5.19 | (711) all_0_206_206 = e23
% 20.17/5.19 |
% 20.17/5.19 | Combining equations (708,711) yields a new equation:
% 20.17/5.19 | (773) e23 = e22
% 20.17/5.19 |
% 20.17/5.19 | Equations (773) can reduce 665 to:
% 20.17/5.19 | (709) $false
% 20.17/5.19 |
% 20.17/5.19 |-The branch is then unsatisfiable
% 20.17/5.19 |-Branch two:
% 20.17/5.19 | (704) ~ (all_0_206_206 = e22)
% 20.17/5.19 | (711) all_0_206_206 = e23
% 20.17/5.19 |
% 20.17/5.19 | Equations (711) can reduce 704 to:
% 20.17/5.19 | (665) ~ (e23 = e22)
% 20.17/5.19 |
% 20.17/5.19 +-Applying beta-rule and splitting (535), into two cases.
% 20.17/5.19 |-Branch one:
% 20.17/5.19 | (708) all_0_206_206 = e22
% 20.17/5.19 |
% 20.17/5.19 | Combining equations (711,708) yields a new equation:
% 20.17/5.19 | (772) e23 = e22
% 20.17/5.19 |
% 20.17/5.19 | Simplifying 772 yields:
% 20.17/5.19 | (773) e23 = e22
% 20.17/5.19 |
% 20.17/5.19 | Equations (773) can reduce 665 to:
% 20.17/5.19 | (709) $false
% 20.17/5.19 |
% 20.17/5.19 |-The branch is then unsatisfiable
% 20.17/5.19 |-Branch two:
% 20.17/5.19 | (704) ~ (all_0_206_206 = e22)
% 20.17/5.19 | (776) all_0_208_208 = e22 | all_0_209_209 = e22
% 20.17/5.19 |
% 20.17/5.19 +-Applying beta-rule and splitting (776), into two cases.
% 20.17/5.19 |-Branch one:
% 20.17/5.19 | (777) all_0_208_208 = e22
% 20.17/5.19 |
% 20.17/5.19 | Combining equations (777,2279) yields a new equation:
% 20.17/5.19 | (878) e22 = e21
% 20.17/5.19 |
% 20.17/5.19 | Simplifying 878 yields:
% 20.17/5.19 | (879) e22 = e21
% 20.17/5.19 |
% 20.17/5.19 | Equations (879) can reduce 399 to:
% 20.17/5.19 | (709) $false
% 20.17/5.19 |
% 20.17/5.19 |-The branch is then unsatisfiable
% 20.17/5.19 |-Branch two:
% 20.17/5.19 | (732) ~ (all_0_208_208 = e22)
% 20.17/5.19 | (782) all_0_209_209 = e22
% 20.17/5.19 |
% 20.17/5.19 +-Applying beta-rule and splitting (323), into two cases.
% 20.17/5.19 |-Branch one:
% 20.17/5.19 | (2502) all_0_207_207 = e20
% 20.17/5.19 |
% 20.17/5.19 | Equations (2502) can reduce 489 to:
% 20.17/5.19 | (1453) ~ (all_0_198_198 = e20)
% 20.17/5.19 |
% 20.17/5.19 | Equations (2502) can reduce 2277 to:
% 20.17/5.19 | (761) ~ (e21 = e20)
% 20.17/5.19 |
% 20.17/5.19 | Simplifying 761 yields:
% 20.17/5.19 | (258) ~ (e21 = e20)
% 20.17/5.19 |
% 20.17/5.19 | From (2502) and (2681) follows:
% 20.17/5.19 | (2825) op2(e20, e20) = e23
% 20.17/5.19 |
% 20.17/5.19 | From (2502) and (2680) follows:
% 20.17/5.19 | (2826) op2(e20, e20) = e20
% 20.17/5.19 |
% 20.17/5.19 +-Applying beta-rule and splitting (80), into two cases.
% 20.17/5.19 |-Branch one:
% 20.17/5.19 | (842) all_0_198_198 = e20
% 20.17/5.19 |
% 20.17/5.19 | Equations (842) can reduce 1453 to:
% 20.17/5.19 | (709) $false
% 20.17/5.19 |
% 20.17/5.19 |-The branch is then unsatisfiable
% 20.17/5.19 |-Branch two:
% 20.17/5.19 | (1453) ~ (all_0_198_198 = e20)
% 20.17/5.19 | (2781) all_0_199_199 = e20 | all_0_200_200 = e20
% 20.17/5.19 |
% 20.17/5.19 +-Applying beta-rule and splitting (2781), into two cases.
% 20.17/5.19 |-Branch one:
% 20.17/5.19 | (2782) all_0_199_199 = e20
% 20.17/5.19 |
% 20.17/5.19 | From (2782) and (2335) follows:
% 20.17/5.19 | (2832) op2(e20, e20) = e21
% 20.17/5.19 |
% 20.17/5.19 | From (2782) and (2698) follows:
% 20.17/5.19 | (2833) op2(e20, e20) = e22
% 20.17/5.19 |
% 20.17/5.19 | Instantiating formula (7) with e20, e20, e23, e24 and discharging atoms op2(e20, e20) = e24, op2(e20, e20) = e23, yields:
% 20.17/5.19 | (891) e24 = e23
% 20.17/5.19 |
% 20.17/5.19 | Instantiating formula (7) with e20, e20, e22, e24 and discharging atoms op2(e20, e20) = e24, op2(e20, e20) = e22, yields:
% 20.17/5.19 | (2370) e24 = e22
% 20.17/5.19 |
% 20.17/5.19 | Instantiating formula (7) with e20, e20, e21, e23 and discharging atoms op2(e20, e20) = e23, op2(e20, e20) = e21, yields:
% 20.17/5.19 | (2243) e23 = e21
% 20.17/5.19 |
% 20.17/5.19 | Instantiating formula (7) with e20, e20, e20, e24 and discharging atoms op2(e20, e20) = e24, op2(e20, e20) = e20, yields:
% 20.17/5.19 | (2646) e24 = e20
% 20.17/5.19 |
% 20.17/5.19 | Combining equations (2646,2370) yields a new equation:
% 20.17/5.19 | (755) e22 = e20
% 20.17/5.19 |
% 20.17/5.19 | Combining equations (891,2370) yields a new equation:
% 20.17/5.19 | (772) e23 = e22
% 20.17/5.19 |
% 20.17/5.19 | Simplifying 772 yields:
% 20.17/5.19 | (773) e23 = e22
% 20.17/5.19 |
% 20.17/5.19 | Combining equations (773,2243) yields a new equation:
% 20.17/5.19 | (878) e22 = e21
% 20.17/5.19 |
% 20.17/5.19 | Simplifying 878 yields:
% 20.17/5.19 | (879) e22 = e21
% 20.17/5.19 |
% 20.17/5.19 | Combining equations (755,879) yields a new equation:
% 20.17/5.19 | (2256) e21 = e20
% 20.17/5.19 |
% 20.17/5.19 | Equations (2256) can reduce 258 to:
% 20.17/5.19 | (709) $false
% 20.17/5.19 |
% 20.17/5.19 |-The branch is then unsatisfiable
% 20.17/5.19 |-Branch two:
% 20.17/5.19 | (2726) ~ (all_0_199_199 = e20)
% 20.17/5.19 | (867) all_0_200_200 = e20
% 20.17/5.19 |
% 20.17/5.19 | Equations (867) can reduce 844 to:
% 20.17/5.19 | (709) $false
% 20.17/5.19 |
% 20.17/5.19 |-The branch is then unsatisfiable
% 20.17/5.19 |-Branch two:
% 20.17/5.19 | (2395) ~ (all_0_207_207 = e20)
% 20.17/5.19 | (2507) all_0_208_208 = e20 | all_0_209_209 = e20
% 20.17/5.19 |
% 20.17/5.19 +-Applying beta-rule and splitting (2507), into two cases.
% 20.17/5.19 |-Branch one:
% 20.17/5.19 | (758) all_0_208_208 = e20
% 20.17/5.19 |
% 20.17/5.19 | Combining equations (2279,758) yields a new equation:
% 20.17/5.19 | (2260) e21 = e20
% 20.17/5.19 |
% 20.17/5.19 | Simplifying 2260 yields:
% 20.17/5.19 | (2256) e21 = e20
% 20.17/5.19 |
% 20.17/5.19 | Equations (2256) can reduce 258 to:
% 20.17/5.19 | (709) $false
% 20.17/5.19 |
% 20.17/5.19 |-The branch is then unsatisfiable
% 20.17/5.19 |-Branch two:
% 20.17/5.19 | (2334) ~ (all_0_208_208 = e20)
% 20.17/5.19 | (2512) all_0_209_209 = e20
% 20.17/5.19 |
% 20.17/5.19 | Combining equations (2512,782) yields a new equation:
% 20.17/5.19 | (755) e22 = e20
% 20.17/5.19 |
% 20.17/5.19 | Equations (755) can reduce 479 to:
% 20.17/5.19 | (709) $false
% 20.17/5.19 |
% 20.17/5.19 |-The branch is then unsatisfiable
% 20.17/5.19 |-Branch two:
% 20.17/5.19 | (695) ~ (all_0_208_208 = e21)
% 20.17/5.19 | (2339) all_0_208_208 = e22 | all_0_208_208 = e20
% 20.17/5.19 |
% 20.17/5.19 +-Applying beta-rule and splitting (2339), into two cases.
% 20.17/5.19 |-Branch one:
% 20.17/5.19 | (758) all_0_208_208 = e20
% 20.17/5.19 |
% 20.17/5.19 | Equations (758) can reduce 2334 to:
% 20.17/5.19 | (709) $false
% 20.17/5.19 |
% 20.17/5.19 |-The branch is then unsatisfiable
% 20.17/5.19 |-Branch two:
% 20.17/5.19 | (2334) ~ (all_0_208_208 = e20)
% 20.17/5.19 | (777) all_0_208_208 = e22
% 20.17/5.19 |
% 20.17/5.19 | Equations (777) can reduce 732 to:
% 20.17/5.19 | (709) $false
% 20.17/5.19 |
% 20.17/5.19 |-The branch is then unsatisfiable
% 20.17/5.19 |-Branch two:
% 20.17/5.19 | (757) ~ (all_0_203_203 = e20)
% 20.17/5.19 | (758) all_0_208_208 = e20
% 20.17/5.19 |
% 20.17/5.19 | Equations (758) can reduce 545 to:
% 20.17/5.19 | (2395) ~ (all_0_207_207 = e20)
% 20.17/5.19 |
% 20.17/5.19 | Equations (758) can reduce 30 to:
% 20.17/5.19 | (2579) ~ (all_0_209_209 = e20)
% 20.17/5.19 |
% 20.17/5.19 | Simplifying 2579 yields:
% 20.17/5.19 | (2580) ~ (all_0_209_209 = e20)
% 20.17/5.19 |
% 20.17/5.19 +-Applying beta-rule and splitting (225), into two cases.
% 20.17/5.19 |-Branch one:
% 20.17/5.19 | (2247) all_0_203_203 = e21
% 20.17/5.19 |
% 20.17/5.19 | Equations (2247) can reduce 445 to:
% 20.17/5.19 | (807) ~ (all_0_202_202 = e21)
% 20.17/5.19 |
% 20.17/5.19 | Equations (2247) can reduce 69 to:
% 20.17/5.19 | (2872) ~ (all_0_204_204 = e21)
% 20.17/5.19 |
% 20.17/5.19 | Simplifying 2872 yields:
% 20.17/5.19 | (2245) ~ (all_0_204_204 = e21)
% 20.17/5.19 |
% 20.17/5.19 +-Applying beta-rule and splitting (325), into two cases.
% 20.17/5.19 |-Branch one:
% 20.17/5.19 | (698) all_0_197_197 = e22
% 20.17/5.19 |
% 20.17/5.19 | Equations (698) can reduce 482 to:
% 20.17/5.19 | (699) ~ (all_0_200_200 = e22)
% 20.17/5.19 |
% 20.17/5.19 | Simplifying 699 yields:
% 20.17/5.19 | (700) ~ (all_0_200_200 = e22)
% 20.17/5.19 |
% 20.17/5.19 | Equations (698) can reduce 5 to:
% 20.17/5.19 | (703) ~ (all_0_206_206 = e22)
% 20.17/5.19 |
% 20.17/5.19 | Simplifying 703 yields:
% 20.17/5.19 | (704) ~ (all_0_206_206 = e22)
% 20.17/5.19 |
% 20.17/5.19 | From (698) and (2575) follows:
% 20.17/5.20 | (2597) op2(e22, e22) = e24
% 20.17/5.20 |
% 20.17/5.20 +-Applying beta-rule and splitting (139), into two cases.
% 20.17/5.20 |-Branch one:
% 20.17/5.20 | (708) all_0_206_206 = e22
% 20.17/5.20 |
% 20.17/5.20 | Equations (708) can reduce 704 to:
% 20.17/5.20 | (709) $false
% 20.17/5.20 |
% 20.17/5.20 |-The branch is then unsatisfiable
% 20.17/5.20 |-Branch two:
% 20.17/5.20 | (704) ~ (all_0_206_206 = e22)
% 20.17/5.20 | (711) all_0_206_206 = e23
% 20.17/5.20 |
% 20.17/5.20 | Equations (711) can reduce 627 to:
% 20.17/5.20 | (2321) ~ (all_0_207_207 = e23)
% 20.17/5.20 |
% 20.17/5.20 | Simplifying 2321 yields:
% 20.17/5.20 | (2322) ~ (all_0_207_207 = e23)
% 20.17/5.20 |
% 20.17/5.20 | Equations (711) can reduce 373 to:
% 20.17/5.20 | (2687) ~ (all_0_209_209 = e23)
% 20.17/5.20 |
% 20.17/5.20 | Simplifying 2687 yields:
% 20.17/5.20 | (2688) ~ (all_0_209_209 = e23)
% 20.17/5.20 |
% 20.17/5.20 | From (711)(711) and (2) follows:
% 20.17/5.20 | (715) op2(e23, e23) = all_0_190_190
% 20.17/5.20 |
% 20.17/5.20 +-Applying beta-rule and splitting (574), into two cases.
% 20.17/5.20 |-Branch one:
% 20.17/5.20 | (2293) all_0_197_197 = e24
% 20.17/5.20 |
% 20.17/5.20 | Combining equations (698,2293) yields a new equation:
% 20.17/5.20 | (2370) e24 = e22
% 20.17/5.20 |
% 20.17/5.20 | Equations (2370) can reduce 499 to:
% 20.17/5.20 | (709) $false
% 20.17/5.20 |
% 20.17/5.20 |-The branch is then unsatisfiable
% 20.17/5.20 |-Branch two:
% 20.17/5.20 | (2438) ~ (all_0_197_197 = e24)
% 20.17/5.20 | (721) all_0_201_201 = e24
% 20.17/5.20 |
% 20.17/5.20 | Equations (721) can reduce 496 to:
% 20.17/5.20 | (2894) ~ (all_0_204_204 = e24)
% 20.17/5.20 |
% 20.17/5.20 | Simplifying 2894 yields:
% 20.17/5.20 | (2895) ~ (all_0_204_204 = e24)
% 20.17/5.20 |
% 20.17/5.20 | Equations (721) can reduce 148 to:
% 20.17/5.20 | (2896) ~ (all_0_205_205 = e24)
% 20.17/5.20 |
% 20.17/5.20 | Simplifying 2896 yields:
% 20.17/5.20 | (588) ~ (all_0_205_205 = e24)
% 20.17/5.20 |
% 20.17/5.20 +-Applying beta-rule and splitting (221), into two cases.
% 20.17/5.20 |-Branch one:
% 20.17/5.20 | (883) all_0_200_200 = e21
% 20.17/5.20 |
% 20.17/5.20 | Equations (883) can reduce 386 to:
% 20.17/5.20 | (691) ~ (all_0_194_194 = e21)
% 20.17/5.20 |
% 20.17/5.20 | Equations (883) can reduce 200 to:
% 20.17/5.20 | (806) ~ (all_0_198_198 = e21)
% 20.17/5.20 |
% 20.17/5.20 | Equations (883) can reduce 195 to:
% 20.17/5.20 | (2439) ~ (all_0_199_199 = e21)
% 20.17/5.20 |
% 20.17/5.20 | Equations (883) can reduce 162 to:
% 20.17/5.20 | (2398) ~ (e24 = e21)
% 20.17/5.20 |
% 20.17/5.20 | Simplifying 2398 yields:
% 20.17/5.20 | (257) ~ (e24 = e21)
% 20.17/5.20 |
% 20.17/5.20 | Equations (883) can reduce 567 to:
% 20.17/5.20 | (903) ~ (e23 = e21)
% 20.17/5.20 |
% 20.17/5.20 | Simplifying 903 yields:
% 20.17/5.20 | (600) ~ (e23 = e21)
% 20.17/5.20 |
% 20.17/5.20 +-Applying beta-rule and splitting (537), into two cases.
% 20.17/5.20 |-Branch one:
% 20.17/5.20 | (877) all_0_194_194 = e21
% 20.17/5.20 |
% 20.17/5.20 | Equations (877) can reduce 691 to:
% 20.17/5.20 | (709) $false
% 20.17/5.20 |
% 20.17/5.20 |-The branch is then unsatisfiable
% 20.17/5.20 |-Branch two:
% 20.17/5.20 | (691) ~ (all_0_194_194 = e21)
% 20.17/5.20 | (2358) all_0_194_194 = e23 | all_0_194_194 = e22
% 20.17/5.20 |
% 20.17/5.20 +-Applying beta-rule and splitting (275), into two cases.
% 20.17/5.20 |-Branch one:
% 20.17/5.20 | (805) all_0_207_207 = e21
% 20.17/5.20 |
% 20.17/5.20 | Equations (805) can reduce 489 to:
% 20.17/5.20 | (806) ~ (all_0_198_198 = e21)
% 20.17/5.20 |
% 20.17/5.20 | Equations (805) can reduce 492 to:
% 20.17/5.20 | (2495) ~ (all_0_209_209 = e21)
% 20.17/5.20 |
% 20.17/5.20 | Simplifying 2495 yields:
% 20.17/5.20 | (2452) ~ (all_0_209_209 = e21)
% 20.17/5.20 |
% 20.17/5.20 | Equations (805) can reduce 326 to:
% 20.17/5.20 | (2398) ~ (e24 = e21)
% 20.17/5.20 |
% 20.17/5.20 | Simplifying 2398 yields:
% 20.17/5.20 | (257) ~ (e24 = e21)
% 20.17/5.20 |
% 20.17/5.20 +-Applying beta-rule and splitting (353), into two cases.
% 20.17/5.20 |-Branch one:
% 20.17/5.20 | (785) all_0_193_193 = e21
% 20.17/5.20 |
% 20.17/5.20 | Equations (785) can reduce 490 to:
% 20.17/5.20 | (2482) ~ (all_0_191_191 = e21)
% 20.17/5.20 |
% 20.17/5.20 | Equations (785) can reduce 126 to:
% 20.17/5.20 | (690) ~ (all_0_194_194 = e21)
% 20.17/5.20 |
% 20.17/5.20 | Simplifying 690 yields:
% 20.17/5.20 | (691) ~ (all_0_194_194 = e21)
% 20.17/5.20 |
% 20.17/5.20 | Equations (785) can reduce 224 to:
% 20.17/5.20 | (2920) ~ (all_0_199_199 = e21)
% 20.17/5.20 |
% 20.17/5.20 | Simplifying 2920 yields:
% 20.17/5.20 | (2439) ~ (all_0_199_199 = e21)
% 20.17/5.20 |
% 20.17/5.20 | Equations (785) can reduce 166 to:
% 20.17/5.20 | (2872) ~ (all_0_204_204 = e21)
% 20.17/5.20 |
% 20.17/5.20 | Simplifying 2872 yields:
% 20.17/5.20 | (2245) ~ (all_0_204_204 = e21)
% 20.17/5.20 |
% 20.17/5.20 | Equations (785) can reduce 37 to:
% 20.17/5.20 | (2495) ~ (all_0_209_209 = e21)
% 20.17/5.20 |
% 20.17/5.20 | Simplifying 2495 yields:
% 20.17/5.20 | (2452) ~ (all_0_209_209 = e21)
% 20.17/5.20 |
% 20.17/5.20 +-Applying beta-rule and splitting (267), into two cases.
% 20.17/5.20 |-Branch one:
% 20.17/5.20 | (765) all_0_191_191 = e24
% 20.17/5.20 |
% 20.17/5.20 | Equations (765) can reduce 425 to:
% 20.17/5.20 | (2305) ~ (all_0_194_194 = e24)
% 20.17/5.20 |
% 20.17/5.20 | Simplifying 2305 yields:
% 20.17/5.20 | (49) ~ (all_0_194_194 = e24)
% 20.17/5.20 |
% 20.17/5.20 | Equations (765) can reduce 391 to:
% 20.17/5.20 | (768) ~ (all_0_198_198 = e24)
% 20.17/5.20 |
% 20.17/5.20 | Simplifying 768 yields:
% 20.17/5.20 | (769) ~ (all_0_198_198 = e24)
% 20.17/5.20 |
% 20.17/5.20 | Equations (765) can reduce 2482 to:
% 20.17/5.20 | (257) ~ (e24 = e21)
% 20.17/5.20 |
% 20.17/5.20 +-Applying beta-rule and splitting (2358), into two cases.
% 20.17/5.20 |-Branch one:
% 20.17/5.20 | (831) all_0_194_194 = e22
% 20.17/5.20 |
% 20.17/5.20 | Equations (831) can reduce 2266 to:
% 20.17/5.20 | (709) $false
% 20.17/5.20 |
% 20.17/5.20 |-The branch is then unsatisfiable
% 20.17/5.20 |-Branch two:
% 20.17/5.20 | (2266) ~ (all_0_194_194 = e22)
% 20.17/5.20 | (2548) all_0_194_194 = e23
% 20.17/5.20 |
% 20.17/5.20 | Equations (2548) can reduce 49 to:
% 20.17/5.20 | (821) ~ (e24 = e23)
% 20.17/5.20 |
% 20.17/5.20 | Simplifying 821 yields:
% 20.17/5.20 | (563) ~ (e24 = e23)
% 20.17/5.20 |
% 20.17/5.20 | Equations (2548) can reduce 691 to:
% 20.17/5.20 | (600) ~ (e23 = e21)
% 20.17/5.20 |
% 20.17/5.20 | From (2548)(2548) and (88) follows:
% 20.17/5.20 | (2939) op2(e23, e23) = all_0_183_183
% 20.17/5.20 |
% 20.17/5.20 +-Applying beta-rule and splitting (179), into two cases.
% 20.17/5.20 |-Branch one:
% 20.17/5.20 | (890) all_0_201_201 = e23
% 20.17/5.20 |
% 20.17/5.20 | Combining equations (721,890) yields a new equation:
% 20.17/5.20 | (897) e24 = e23
% 20.17/5.20 |
% 20.17/5.20 | Simplifying 897 yields:
% 20.17/5.20 | (891) e24 = e23
% 20.17/5.20 |
% 20.17/5.20 | Equations (891) can reduce 563 to:
% 20.17/5.20 | (709) $false
% 20.17/5.20 |
% 20.17/5.20 |-The branch is then unsatisfiable
% 20.17/5.20 |-Branch two:
% 20.17/5.20 | (712) ~ (all_0_201_201 = e23)
% 20.17/5.20 | (894) all_0_202_202 = e23 | all_0_204_204 = e23 | all_0_205_205 = e23
% 20.17/5.20 |
% 20.17/5.20 +-Applying beta-rule and splitting (894), into two cases.
% 20.17/5.20 |-Branch one:
% 20.17/5.20 | (909) all_0_202_202 = e23
% 20.17/5.20 |
% 20.17/5.20 | Equations (909) can reduce 94 to:
% 20.17/5.20 | (487) ~ (all_0_198_198 = e23)
% 20.17/5.20 |
% 20.17/5.20 | From (909) and (2690) follows:
% 20.17/5.20 | (2948) op2(e23, e23) = e23
% 20.17/5.20 |
% 20.17/5.20 +-Applying beta-rule and splitting (252), into two cases.
% 20.17/5.20 |-Branch one:
% 20.17/5.20 | (827) all_0_198_198 = e21
% 20.17/5.20 |
% 20.17/5.20 | Equations (827) can reduce 806 to:
% 20.17/5.20 | (709) $false
% 20.17/5.20 |
% 20.17/5.20 |-The branch is then unsatisfiable
% 20.17/5.20 |-Branch two:
% 20.17/5.20 | (806) ~ (all_0_198_198 = e21)
% 20.17/5.20 | (830) all_0_198_198 = e24 | all_0_198_198 = e20
% 20.17/5.20 |
% 20.17/5.20 +-Applying beta-rule and splitting (309), into two cases.
% 20.17/5.20 |-Branch one:
% 20.17/5.20 | (2283) all_0_209_209 = e21
% 20.17/5.20 |
% 20.17/5.20 | Equations (2283) can reduce 2452 to:
% 20.17/5.20 | (709) $false
% 20.17/5.20 |
% 20.17/5.20 |-The branch is then unsatisfiable
% 20.17/5.20 |-Branch two:
% 20.17/5.20 | (2452) ~ (all_0_209_209 = e21)
% 20.17/5.20 | (2724) all_0_209_209 = e23 | all_0_209_209 = e22 | all_0_209_209 = e20
% 20.17/5.20 |
% 20.17/5.20 +-Applying beta-rule and splitting (2724), into two cases.
% 20.17/5.20 |-Branch one:
% 20.17/5.20 | (2512) all_0_209_209 = e20
% 20.17/5.20 |
% 20.17/5.20 | Equations (2512) can reduce 2580 to:
% 20.17/5.20 | (709) $false
% 20.17/5.20 |
% 20.17/5.20 |-The branch is then unsatisfiable
% 20.17/5.20 |-Branch two:
% 20.17/5.20 | (2580) ~ (all_0_209_209 = e20)
% 20.17/5.20 | (2788) all_0_209_209 = e23 | all_0_209_209 = e22
% 20.17/5.20 |
% 20.17/5.20 +-Applying beta-rule and splitting (2788), into two cases.
% 20.17/5.20 |-Branch one:
% 20.17/5.20 | (782) all_0_209_209 = e22
% 20.17/5.20 |
% 20.17/5.20 | Equations (782) can reduce 2688 to:
% 20.17/5.20 | (733) ~ (e23 = e22)
% 20.17/5.20 |
% 20.17/5.20 | Simplifying 733 yields:
% 20.17/5.20 | (665) ~ (e23 = e22)
% 20.17/5.20 |
% 20.17/5.20 | Equations (782) can reduce 2452 to:
% 20.17/5.20 | (399) ~ (e22 = e21)
% 20.17/5.20 |
% 20.17/5.20 | From (782) and (28) follows:
% 20.17/5.20 | (784) op2(all_0_205_205, e22) = e20
% 20.17/5.20 |
% 20.17/5.20 | From (782) and (50) follows:
% 20.17/5.20 | (2966) op2(e22, all_0_205_205) = e21
% 20.17/5.20 |
% 20.17/5.20 +-Applying beta-rule and splitting (830), into two cases.
% 20.17/5.20 |-Branch one:
% 20.17/5.20 | (842) all_0_198_198 = e20
% 20.17/5.20 |
% 20.17/5.20 | Equations (842) can reduce 527 to:
% 20.17/5.20 | (2968) ~ (all_0_199_199 = e20)
% 20.17/5.20 |
% 20.17/5.20 | Simplifying 2968 yields:
% 20.17/5.20 | (2726) ~ (all_0_199_199 = e20)
% 20.17/5.20 |
% 20.17/5.20 | Equations (842) can reduce 769 to:
% 20.17/5.20 | (2970) ~ (e24 = e20)
% 20.17/5.20 |
% 20.17/5.20 | Simplifying 2970 yields:
% 20.17/5.20 | (78) ~ (e24 = e20)
% 20.17/5.20 |
% 20.17/5.20 | Equations (842) can reduce 487 to:
% 20.17/5.20 | (845) ~ (e23 = e20)
% 20.17/5.20 |
% 20.17/5.20 | Simplifying 845 yields:
% 20.17/5.20 | (383) ~ (e23 = e20)
% 20.17/5.20 |
% 20.17/5.20 +-Applying beta-rule and splitting (483), into two cases.
% 20.17/5.20 |-Branch one:
% 20.17/5.20 | (2527) all_0_199_199 = e21
% 20.17/5.20 |
% 20.17/5.20 | Equations (2527) can reduce 2439 to:
% 20.17/5.20 | (709) $false
% 20.17/5.20 |
% 20.17/5.20 |-The branch is then unsatisfiable
% 20.17/5.20 |-Branch two:
% 20.17/5.20 | (2439) ~ (all_0_199_199 = e21)
% 20.17/5.20 | (2977) all_0_199_199 = e24 | all_0_199_199 = e22 | all_0_199_199 = e20
% 20.17/5.20 |
% 20.17/5.20 +-Applying beta-rule and splitting (45), into two cases.
% 20.17/5.20 |-Branch one:
% 20.17/5.20 | (831) all_0_194_194 = e22
% 20.17/5.20 |
% 20.17/5.20 | Combining equations (2548,831) yields a new equation:
% 20.17/5.20 | (772) e23 = e22
% 20.17/5.20 |
% 20.17/5.20 | Simplifying 772 yields:
% 20.17/5.20 | (773) e23 = e22
% 20.17/5.20 |
% 20.17/5.20 | Equations (773) can reduce 665 to:
% 20.17/5.20 | (709) $false
% 20.17/5.20 |
% 20.17/5.20 |-The branch is then unsatisfiable
% 20.17/5.20 |-Branch two:
% 20.17/5.20 | (2266) ~ (all_0_194_194 = e22)
% 20.17/5.20 | (2267) all_0_200_200 = e22 | all_0_205_205 = e22
% 20.17/5.20 |
% 20.17/5.20 +-Applying beta-rule and splitting (2267), into two cases.
% 20.17/5.20 |-Branch one:
% 20.17/5.20 | (2268) all_0_200_200 = e22
% 20.17/5.20 |
% 20.17/5.20 | Combining equations (883,2268) yields a new equation:
% 20.17/5.20 | (879) e22 = e21
% 20.17/5.20 |
% 20.17/5.20 | Equations (879) can reduce 399 to:
% 20.17/5.20 | (709) $false
% 20.17/5.20 |
% 20.17/5.20 |-The branch is then unsatisfiable
% 20.17/5.20 |-Branch two:
% 20.17/5.20 | (700) ~ (all_0_200_200 = e22)
% 20.17/5.21 | (2271) all_0_205_205 = e22
% 20.17/5.21 |
% 20.17/5.21 | Equations (2271) can reduce 588 to:
% 20.17/5.21 | (2364) ~ (e24 = e22)
% 20.17/5.21 |
% 20.17/5.21 | Simplifying 2364 yields:
% 20.17/5.21 | (499) ~ (e24 = e22)
% 20.17/5.21 |
% 20.17/5.21 | Equations (2271) can reduce 2332 to:
% 20.17/5.21 | (479) ~ (e22 = e20)
% 20.17/5.21 |
% 20.17/5.21 | From (2271) and (784) follows:
% 20.17/5.21 | (2630) op2(e22, e22) = e20
% 20.17/5.21 |
% 20.17/5.21 | From (2271) and (2966) follows:
% 20.17/5.21 | (2629) op2(e22, e22) = e21
% 20.17/5.21 |
% 20.17/5.21 +-Applying beta-rule and splitting (421), into two cases.
% 20.17/5.21 |-Branch one:
% 20.17/5.21 | (823) all_0_195_195 = e20
% 20.17/5.21 |
% 20.17/5.21 | Combining equations (817,823) yields a new equation:
% 20.17/5.21 | (862) e23 = e20
% 20.17/5.21 |
% 20.17/5.21 | Simplifying 862 yields:
% 20.17/5.21 | (863) e23 = e20
% 20.17/5.21 |
% 20.17/5.21 | Equations (863) can reduce 383 to:
% 20.17/5.21 | (709) $false
% 20.17/5.21 |
% 20.17/5.21 |-The branch is then unsatisfiable
% 20.17/5.21 |-Branch two:
% 20.17/5.21 | (2273) ~ (all_0_195_195 = e20)
% 20.17/5.21 | (2999) all_0_199_199 = e20 | all_0_204_204 = e20 | all_0_209_209 = e20
% 20.17/5.21 |
% 20.17/5.21 +-Applying beta-rule and splitting (2977), into two cases.
% 20.17/5.21 |-Branch one:
% 20.17/5.21 | (2782) all_0_199_199 = e20
% 20.17/5.21 |
% 20.17/5.21 | Equations (2782) can reduce 2726 to:
% 20.17/5.21 | (709) $false
% 20.17/5.21 |
% 20.17/5.21 |-The branch is then unsatisfiable
% 20.17/5.21 |-Branch two:
% 20.17/5.21 | (2726) ~ (all_0_199_199 = e20)
% 20.17/5.21 | (3003) all_0_199_199 = e24 | all_0_199_199 = e22
% 20.17/5.21 |
% 20.17/5.21 +-Applying beta-rule and splitting (31), into two cases.
% 20.17/5.21 |-Branch one:
% 20.17/5.21 | (902) all_0_204_204 = e21
% 20.17/5.21 |
% 20.17/5.21 | Equations (902) can reduce 2245 to:
% 20.17/5.21 | (709) $false
% 20.17/5.21 |
% 20.17/5.21 |-The branch is then unsatisfiable
% 20.17/5.21 |-Branch two:
% 20.17/5.21 | (2245) ~ (all_0_204_204 = e21)
% 20.17/5.21 | (2246) all_0_204_204 = e24 | all_0_204_204 = e23 | all_0_204_204 = e22 | all_0_204_204 = e20
% 20.17/5.21 |
% 20.17/5.21 +-Applying beta-rule and splitting (27), into two cases.
% 20.17/5.21 |-Branch one:
% 20.17/5.21 | (2293) all_0_197_197 = e24
% 20.17/5.21 |
% 20.17/5.21 | Combining equations (698,2293) yields a new equation:
% 20.17/5.21 | (2370) e24 = e22
% 20.17/5.21 |
% 20.17/5.21 | Equations (2370) can reduce 499 to:
% 20.17/5.21 | (709) $false
% 20.17/5.21 |
% 20.17/5.21 |-The branch is then unsatisfiable
% 20.17/5.21 |-Branch two:
% 20.17/5.21 | (2438) ~ (all_0_197_197 = e24)
% 20.17/5.21 | (3012) all_0_198_198 = e24 | all_0_199_199 = e24
% 20.17/5.21 |
% 20.17/5.21 +-Applying beta-rule and splitting (3012), into two cases.
% 20.17/5.21 |-Branch one:
% 20.17/5.21 | (2264) all_0_198_198 = e24
% 20.17/5.21 |
% 20.17/5.21 | Combining equations (842,2264) yields a new equation:
% 20.17/5.21 | (2646) e24 = e20
% 20.17/5.21 |
% 20.17/5.21 | Equations (2646) can reduce 78 to:
% 20.17/5.21 | (709) $false
% 20.17/5.21 |
% 20.17/5.21 |-The branch is then unsatisfiable
% 20.17/5.21 |-Branch two:
% 20.17/5.21 | (769) ~ (all_0_198_198 = e24)
% 20.17/5.21 | (725) all_0_199_199 = e24
% 20.17/5.21 |
% 20.17/5.21 | Equations (725) can reduce 2726 to:
% 20.17/5.21 | (78) ~ (e24 = e20)
% 20.17/5.21 |
% 20.17/5.21 +-Applying beta-rule and splitting (2999), into two cases.
% 20.17/5.21 |-Branch one:
% 20.17/5.21 | (2782) all_0_199_199 = e20
% 20.17/5.21 |
% 20.17/5.21 | Combining equations (725,2782) yields a new equation:
% 20.17/5.21 | (3020) e24 = e20
% 20.17/5.21 |
% 20.17/5.21 | Simplifying 3020 yields:
% 20.17/5.21 | (2646) e24 = e20
% 20.17/5.21 |
% 20.17/5.21 | Equations (2646) can reduce 78 to:
% 20.17/5.21 | (709) $false
% 20.17/5.21 |
% 20.17/5.21 |-The branch is then unsatisfiable
% 20.17/5.21 |-Branch two:
% 20.17/5.21 | (2726) ~ (all_0_199_199 = e20)
% 20.17/5.21 | (3024) all_0_204_204 = e20 | all_0_209_209 = e20
% 20.17/5.21 |
% 20.17/5.21 +-Applying beta-rule and splitting (3024), into two cases.
% 20.17/5.21 |-Branch one:
% 20.17/5.21 | (3025) all_0_204_204 = e20
% 20.17/5.21 |
% 20.17/5.21 | Equations (3025) can reduce 2245 to:
% 20.17/5.21 | (761) ~ (e21 = e20)
% 20.17/5.21 |
% 20.17/5.21 | Simplifying 761 yields:
% 20.17/5.21 | (258) ~ (e21 = e20)
% 20.17/5.21 |
% 20.17/5.21 | Instantiating formula (7) with e23, e23, all_0_183_183, e22 and discharging atoms op2(e23, e23) = all_0_183_183, op2(e23, e23) = e22, yields:
% 20.17/5.21 | (3028) all_0_183_183 = e22
% 20.17/5.21 |
% 20.17/5.21 | Instantiating formula (7) with e23, e23, all_0_190_190, all_0_183_183 and discharging atoms op2(e23, e23) = all_0_183_183, op2(e23, e23) = all_0_190_190, yields:
% 20.17/5.21 | (3029) all_0_183_183 = all_0_190_190
% 20.17/5.21 |
% 20.17/5.21 | Instantiating formula (7) with e23, e23, e23, all_0_190_190 and discharging atoms op2(e23, e23) = all_0_190_190, op2(e23, e23) = e23, yields:
% 20.17/5.21 | (3030) all_0_190_190 = e23
% 20.17/5.21 |
% 20.17/5.21 | Instantiating formula (7) with e22, e22, e24, e23 and discharging atoms op2(e22, e22) = e24, op2(e22, e22) = e23, yields:
% 20.17/5.21 | (891) e24 = e23
% 20.17/5.21 |
% 20.17/5.21 | Instantiating formula (7) with e22, e22, e21, e23 and discharging atoms op2(e22, e22) = e23, op2(e22, e22) = e21, yields:
% 20.17/5.21 | (2243) e23 = e21
% 20.17/5.21 |
% 20.17/5.21 | Instantiating formula (7) with e22, e22, e20, e24 and discharging atoms op2(e22, e22) = e24, op2(e22, e22) = e20, yields:
% 20.17/5.21 | (2646) e24 = e20
% 20.17/5.21 |
% 20.17/5.21 | Combining equations (3029,3028) yields a new equation:
% 20.17/5.21 | (3034) all_0_190_190 = e22
% 20.17/5.21 |
% 20.17/5.21 | Simplifying 3034 yields:
% 20.17/5.21 | (724) all_0_190_190 = e22
% 20.17/5.21 |
% 20.17/5.21 | Combining equations (3030,724) yields a new equation:
% 20.17/5.21 | (772) e23 = e22
% 20.17/5.21 |
% 20.17/5.21 | Simplifying 772 yields:
% 20.17/5.21 | (773) e23 = e22
% 20.17/5.21 |
% 20.17/5.21 | Combining equations (891,2646) yields a new equation:
% 20.17/5.21 | (862) e23 = e20
% 20.17/5.21 |
% 20.17/5.21 | Simplifying 862 yields:
% 20.17/5.21 | (863) e23 = e20
% 20.17/5.21 |
% 20.17/5.21 | Combining equations (2243,773) yields a new equation:
% 20.17/5.21 | (879) e22 = e21
% 20.17/5.21 |
% 20.17/5.21 | Combining equations (863,773) yields a new equation:
% 20.17/5.21 | (755) e22 = e20
% 20.17/5.21 |
% 20.17/5.21 | Combining equations (879,755) yields a new equation:
% 20.17/5.21 | (2260) e21 = e20
% 20.17/5.21 |
% 20.17/5.21 | Simplifying 2260 yields:
% 20.17/5.21 | (2256) e21 = e20
% 20.17/5.21 |
% 20.17/5.21 | Equations (2256) can reduce 258 to:
% 20.17/5.21 | (709) $false
% 20.17/5.21 |
% 20.17/5.21 |-The branch is then unsatisfiable
% 20.17/5.21 |-Branch two:
% 20.17/5.21 | (3045) ~ (all_0_204_204 = e20)
% 20.17/5.21 | (2512) all_0_209_209 = e20
% 20.17/5.21 |
% 20.17/5.21 | Combining equations (782,2512) yields a new equation:
% 20.17/5.21 | (778) e22 = e20
% 20.17/5.21 |
% 20.17/5.21 | Simplifying 778 yields:
% 20.17/5.21 | (755) e22 = e20
% 20.17/5.21 |
% 20.17/5.21 | Equations (755) can reduce 479 to:
% 20.17/5.21 | (709) $false
% 20.17/5.21 |
% 20.17/5.21 |-The branch is then unsatisfiable
% 20.17/5.21 |-Branch two:
% 20.17/5.21 | (1453) ~ (all_0_198_198 = e20)
% 20.17/5.21 | (2264) all_0_198_198 = e24
% 20.17/5.21 |
% 20.17/5.21 | Equations (2264) can reduce 769 to:
% 20.17/5.21 | (709) $false
% 20.17/5.21 |
% 20.17/5.21 |-The branch is then unsatisfiable
% 20.17/5.21 |-Branch two:
% 20.17/5.21 | (2709) ~ (all_0_209_209 = e22)
% 20.17/5.21 | (2792) all_0_209_209 = e23
% 20.17/5.21 |
% 20.17/5.21 | Equations (2792) can reduce 2688 to:
% 20.17/5.21 | (709) $false
% 20.17/5.21 |
% 20.17/5.21 |-The branch is then unsatisfiable
% 20.17/5.21 |-Branch two:
% 20.17/5.21 | (2241) ~ (all_0_202_202 = e23)
% 20.17/5.21 | (2413) all_0_204_204 = e23 | all_0_205_205 = e23
% 20.17/5.21 |
% 20.17/5.21 +-Applying beta-rule and splitting (629), into two cases.
% 20.17/5.21 |-Branch one:
% 20.17/5.21 | (793) all_0_193_193 = e24
% 20.17/5.21 |
% 20.17/5.21 | Combining equations (785,793) yields a new equation:
% 20.17/5.21 | (2491) e24 = e21
% 20.17/5.21 |
% 20.17/5.21 | Equations (2491) can reduce 257 to:
% 20.17/5.21 | (709) $false
% 20.17/5.21 |
% 20.17/5.21 |-The branch is then unsatisfiable
% 20.17/5.21 |-Branch two:
% 20.17/5.21 | (728) ~ (all_0_193_193 = e24)
% 20.17/5.21 | (3062) all_0_199_199 = e24 | all_0_204_204 = e24
% 20.17/5.21 |
% 20.17/5.21 +-Applying beta-rule and splitting (3062), into two cases.
% 20.17/5.21 |-Branch one:
% 20.17/5.21 | (725) all_0_199_199 = e24
% 20.17/5.21 |
% 20.17/5.21 | Equations (725) can reduce 569 to:
% 20.17/5.21 | (563) ~ (e24 = e23)
% 20.17/5.21 |
% 20.17/5.21 +-Applying beta-rule and splitting (447), into two cases.
% 20.17/5.21 |-Branch one:
% 20.17/5.21 | (896) all_0_191_191 = e23
% 20.17/5.21 |
% 20.17/5.21 | Combining equations (896,765) yields a new equation:
% 20.17/5.21 | (891) e24 = e23
% 20.17/5.21 |
% 20.17/5.21 | Equations (891) can reduce 563 to:
% 20.17/5.21 | (709) $false
% 20.17/5.21 |
% 20.17/5.21 |-The branch is then unsatisfiable
% 20.17/5.21 |-Branch two:
% 20.17/5.21 | (900) ~ (all_0_191_191 = e23)
% 20.17/5.21 | (901) all_0_202_202 = e23 | all_0_207_207 = e23
% 20.17/5.21 |
% 20.17/5.21 +-Applying beta-rule and splitting (901), into two cases.
% 20.17/5.21 |-Branch one:
% 20.17/5.21 | (909) all_0_202_202 = e23
% 20.17/5.21 |
% 20.17/5.21 | Equations (909) can reduce 2241 to:
% 20.17/5.21 | (709) $false
% 20.17/5.21 |
% 20.17/5.21 |-The branch is then unsatisfiable
% 20.17/5.21 |-Branch two:
% 20.17/5.22 | (2241) ~ (all_0_202_202 = e23)
% 20.17/5.22 | (2242) all_0_207_207 = e23
% 20.17/5.22 |
% 20.17/5.22 | Combining equations (2242,805) yields a new equation:
% 20.17/5.22 | (2479) e23 = e21
% 20.17/5.22 |
% 20.17/5.22 | Simplifying 2479 yields:
% 20.17/5.22 | (2243) e23 = e21
% 20.17/5.22 |
% 20.17/5.22 | Equations (2243) can reduce 600 to:
% 20.17/5.22 | (709) $false
% 20.17/5.22 |
% 20.17/5.22 |-The branch is then unsatisfiable
% 20.17/5.22 |-Branch two:
% 20.17/5.22 | (3077) ~ (all_0_199_199 = e24)
% 20.17/5.22 | (3078) all_0_204_204 = e24
% 20.17/5.22 |
% 20.17/5.22 | Equations (3078) can reduce 2895 to:
% 20.17/5.22 | (709) $false
% 20.17/5.22 |
% 20.17/5.22 |-The branch is then unsatisfiable
% 20.17/5.22 |-Branch two:
% 20.17/5.22 | (2286) ~ (all_0_191_191 = e24)
% 20.17/5.22 | (793) all_0_193_193 = e24
% 20.17/5.22 |
% 20.17/5.22 | Combining equations (785,793) yields a new equation:
% 20.17/5.22 | (2491) e24 = e21
% 20.17/5.22 |
% 20.17/5.22 | Equations (2491) can reduce 257 to:
% 20.17/5.22 | (709) $false
% 20.17/5.22 |
% 20.17/5.22 |-The branch is then unsatisfiable
% 20.17/5.22 |-Branch two:
% 20.17/5.22 | (689) ~ (all_0_193_193 = e21)
% 20.17/5.22 | (2526) all_0_199_199 = e21 | all_0_204_204 = e21 | all_0_209_209 = e21
% 20.17/5.22 |
% 20.17/5.22 +-Applying beta-rule and splitting (2526), into two cases.
% 20.17/5.22 |-Branch one:
% 20.17/5.22 | (2527) all_0_199_199 = e21
% 20.17/5.22 |
% 20.17/5.22 | Equations (2527) can reduce 2439 to:
% 20.17/5.22 | (709) $false
% 20.17/5.22 |
% 20.17/5.22 |-The branch is then unsatisfiable
% 20.17/5.22 |-Branch two:
% 20.17/5.22 | (2439) ~ (all_0_199_199 = e21)
% 20.17/5.22 | (2532) all_0_204_204 = e21 | all_0_209_209 = e21
% 20.17/5.22 |
% 20.17/5.22 +-Applying beta-rule and splitting (2532), into two cases.
% 20.17/5.22 |-Branch one:
% 20.17/5.22 | (902) all_0_204_204 = e21
% 20.17/5.22 |
% 20.17/5.22 | Equations (902) can reduce 2245 to:
% 20.17/5.22 | (709) $false
% 20.17/5.22 |
% 20.17/5.22 |-The branch is then unsatisfiable
% 20.17/5.22 |-Branch two:
% 20.17/5.22 | (2245) ~ (all_0_204_204 = e21)
% 20.17/5.22 | (2283) all_0_209_209 = e21
% 20.17/5.22 |
% 20.17/5.22 | Equations (2283) can reduce 2452 to:
% 20.17/5.22 | (709) $false
% 20.17/5.22 |
% 20.17/5.22 |-The branch is then unsatisfiable
% 20.17/5.22 |-Branch two:
% 20.17/5.22 | (2277) ~ (all_0_207_207 = e21)
% 20.17/5.22 | (2731) all_0_207_207 = e23 | all_0_207_207 = e20
% 20.17/5.22 |
% 20.17/5.22 +-Applying beta-rule and splitting (121), into two cases.
% 20.17/5.22 |-Branch one:
% 20.17/5.22 | (805) all_0_207_207 = e21
% 20.17/5.22 |
% 20.51/5.22 | Equations (805) can reduce 2277 to:
% 20.51/5.22 | (709) $false
% 20.51/5.22 |
% 20.51/5.22 |-The branch is then unsatisfiable
% 20.51/5.22 |-Branch two:
% 20.51/5.22 | (2277) ~ (all_0_207_207 = e21)
% 20.51/5.22 | (2278) all_0_208_208 = e21 | all_0_209_209 = e21
% 20.51/5.22 |
% 20.51/5.22 +-Applying beta-rule and splitting (516), into two cases.
% 20.51/5.22 |-Branch one:
% 20.51/5.22 | (2478) all_0_191_191 = e21
% 20.51/5.22 |
% 20.51/5.22 | Equations (2478) can reduce 425 to:
% 20.51/5.22 | (690) ~ (all_0_194_194 = e21)
% 20.51/5.22 |
% 20.51/5.22 | Simplifying 690 yields:
% 20.51/5.22 | (691) ~ (all_0_194_194 = e21)
% 20.51/5.22 |
% 20.51/5.22 +-Applying beta-rule and splitting (267), into two cases.
% 20.51/5.22 |-Branch one:
% 20.51/5.22 | (765) all_0_191_191 = e24
% 20.51/5.22 |
% 20.51/5.22 | Combining equations (2478,765) yields a new equation:
% 20.51/5.22 | (2491) e24 = e21
% 20.51/5.22 |
% 20.51/5.22 | Equations (2491) can reduce 257 to:
% 20.51/5.22 | (709) $false
% 20.51/5.22 |
% 20.51/5.22 |-The branch is then unsatisfiable
% 20.51/5.22 |-Branch two:
% 20.51/5.22 | (2286) ~ (all_0_191_191 = e24)
% 20.51/5.22 | (793) all_0_193_193 = e24
% 20.51/5.22 |
% 20.51/5.22 | Equations (793) can reduce 2684 to:
% 20.51/5.22 | (563) ~ (e24 = e23)
% 20.51/5.22 |
% 20.51/5.22 +-Applying beta-rule and splitting (222), into two cases.
% 20.51/5.22 |-Branch one:
% 20.51/5.22 | (896) all_0_191_191 = e23
% 20.51/5.22 |
% 20.51/5.22 | Combining equations (896,2478) yields a new equation:
% 20.51/5.22 | (2479) e23 = e21
% 20.51/5.22 |
% 20.51/5.22 | Simplifying 2479 yields:
% 20.51/5.22 | (2243) e23 = e21
% 20.51/5.22 |
% 20.51/5.22 | Equations (2243) can reduce 600 to:
% 20.51/5.22 | (709) $false
% 20.51/5.22 |
% 20.51/5.22 |-The branch is then unsatisfiable
% 20.51/5.22 |-Branch two:
% 20.51/5.22 | (900) ~ (all_0_191_191 = e23)
% 20.51/5.22 | (3115) all_0_193_193 = e23 | all_0_194_194 = e23
% 20.51/5.22 |
% 20.51/5.22 +-Applying beta-rule and splitting (3115), into two cases.
% 20.51/5.22 |-Branch one:
% 20.51/5.22 | (796) all_0_193_193 = e23
% 20.51/5.22 |
% 20.51/5.22 | Combining equations (793,796) yields a new equation:
% 20.51/5.22 | (897) e24 = e23
% 20.51/5.22 |
% 20.51/5.22 | Simplifying 897 yields:
% 20.51/5.22 | (891) e24 = e23
% 20.51/5.22 |
% 20.51/5.22 | Equations (891) can reduce 563 to:
% 20.51/5.22 | (709) $false
% 20.51/5.22 |
% 20.51/5.22 |-The branch is then unsatisfiable
% 20.51/5.22 |-Branch two:
% 20.51/5.22 | (2684) ~ (all_0_193_193 = e23)
% 20.51/5.22 | (2548) all_0_194_194 = e23
% 20.51/5.22 |
% 20.51/5.22 | Equations (2548) can reduce 691 to:
% 20.51/5.22 | (600) ~ (e23 = e21)
% 20.51/5.22 |
% 20.51/5.22 +-Applying beta-rule and splitting (447), into two cases.
% 20.51/5.22 |-Branch one:
% 20.51/5.22 | (896) all_0_191_191 = e23
% 20.51/5.22 |
% 20.51/5.22 | Combining equations (896,2478) yields a new equation:
% 20.51/5.22 | (2479) e23 = e21
% 20.51/5.22 |
% 20.51/5.22 | Simplifying 2479 yields:
% 20.51/5.22 | (2243) e23 = e21
% 20.51/5.22 |
% 20.51/5.22 | Equations (2243) can reduce 600 to:
% 20.51/5.22 | (709) $false
% 20.51/5.22 |
% 20.51/5.22 |-The branch is then unsatisfiable
% 20.51/5.22 |-Branch two:
% 20.51/5.22 | (900) ~ (all_0_191_191 = e23)
% 20.51/5.22 | (901) all_0_202_202 = e23 | all_0_207_207 = e23
% 20.51/5.22 |
% 20.51/5.22 +-Applying beta-rule and splitting (901), into two cases.
% 20.51/5.22 |-Branch one:
% 20.51/5.22 | (909) all_0_202_202 = e23
% 20.51/5.22 |
% 20.51/5.22 | Equations (909) can reduce 54 to:
% 20.51/5.22 | (2321) ~ (all_0_207_207 = e23)
% 20.51/5.22 |
% 20.51/5.22 | Simplifying 2321 yields:
% 20.51/5.22 | (2322) ~ (all_0_207_207 = e23)
% 20.51/5.22 |
% 20.51/5.22 +-Applying beta-rule and splitting (2731), into two cases.
% 20.51/5.22 |-Branch one:
% 20.51/5.22 | (2502) all_0_207_207 = e20
% 20.51/5.22 |
% 20.51/5.22 | Equations (2502) can reduce 2395 to:
% 20.51/5.22 | (709) $false
% 20.51/5.22 |
% 20.51/5.22 |-The branch is then unsatisfiable
% 20.51/5.22 |-Branch two:
% 20.51/5.22 | (2395) ~ (all_0_207_207 = e20)
% 20.51/5.22 | (2242) all_0_207_207 = e23
% 20.51/5.22 |
% 20.51/5.22 | Equations (2242) can reduce 2322 to:
% 20.51/5.22 | (709) $false
% 20.51/5.22 |
% 20.51/5.22 |-The branch is then unsatisfiable
% 20.51/5.22 |-Branch two:
% 20.51/5.22 | (2241) ~ (all_0_202_202 = e23)
% 20.51/5.22 | (2242) all_0_207_207 = e23
% 20.51/5.22 |
% 20.51/5.22 | Equations (2242) can reduce 2322 to:
% 20.51/5.22 | (709) $false
% 20.51/5.22 |
% 20.51/5.22 |-The branch is then unsatisfiable
% 20.51/5.22 |-Branch two:
% 20.51/5.22 | (2482) ~ (all_0_191_191 = e21)
% 20.51/5.22 | (2483) all_0_198_198 = e21 | all_0_202_202 = e21 | all_0_207_207 = e21
% 20.51/5.22 |
% 20.51/5.22 +-Applying beta-rule and splitting (2483), into two cases.
% 20.51/5.22 |-Branch one:
% 20.51/5.22 | (827) all_0_198_198 = e21
% 20.51/5.22 |
% 20.51/5.22 | Equations (827) can reduce 806 to:
% 20.51/5.22 | (709) $false
% 20.51/5.22 |
% 20.51/5.22 |-The branch is then unsatisfiable
% 20.51/5.22 |-Branch two:
% 20.51/5.22 | (806) ~ (all_0_198_198 = e21)
% 20.51/5.22 | (2488) all_0_202_202 = e21 | all_0_207_207 = e21
% 20.51/5.22 |
% 20.51/5.22 +-Applying beta-rule and splitting (2488), into two cases.
% 20.51/5.22 |-Branch one:
% 20.51/5.22 | (873) all_0_202_202 = e21
% 20.51/5.22 |
% 20.51/5.22 | Equations (873) can reduce 807 to:
% 20.51/5.22 | (709) $false
% 20.51/5.22 |
% 20.51/5.22 |-The branch is then unsatisfiable
% 20.51/5.22 |-Branch two:
% 20.51/5.22 | (807) ~ (all_0_202_202 = e21)
% 20.51/5.22 | (805) all_0_207_207 = e21
% 20.51/5.22 |
% 20.51/5.22 | Equations (805) can reduce 2277 to:
% 20.51/5.22 | (709) $false
% 20.51/5.22 |
% 20.51/5.22 |-The branch is then unsatisfiable
% 20.51/5.22 |-Branch two:
% 20.51/5.22 | (2258) ~ (all_0_200_200 = e21)
% 20.51/5.22 | (2634) all_0_200_200 = e22 | all_0_200_200 = e20
% 20.51/5.22 |
% 20.51/5.22 +-Applying beta-rule and splitting (45), into two cases.
% 20.51/5.22 |-Branch one:
% 20.51/5.22 | (831) all_0_194_194 = e22
% 20.51/5.22 |
% 20.51/5.22 | Equations (831) can reduce 2266 to:
% 20.51/5.22 | (709) $false
% 20.51/5.22 |
% 20.51/5.22 |-The branch is then unsatisfiable
% 20.51/5.22 |-Branch two:
% 20.51/5.22 | (2266) ~ (all_0_194_194 = e22)
% 20.51/5.22 | (2267) all_0_200_200 = e22 | all_0_205_205 = e22
% 20.51/5.22 |
% 20.51/5.22 +-Applying beta-rule and splitting (2267), into two cases.
% 20.51/5.22 |-Branch one:
% 20.51/5.22 | (2268) all_0_200_200 = e22
% 20.51/5.22 |
% 20.51/5.22 | Equations (2268) can reduce 700 to:
% 20.51/5.22 | (709) $false
% 20.51/5.22 |
% 20.51/5.22 |-The branch is then unsatisfiable
% 20.51/5.22 |-Branch two:
% 20.51/5.22 | (700) ~ (all_0_200_200 = e22)
% 20.51/5.22 | (2271) all_0_205_205 = e22
% 20.51/5.22 |
% 20.51/5.22 | Equations (2271) can reduce 408 to:
% 20.51/5.22 | (700) ~ (all_0_200_200 = e22)
% 20.51/5.22 |
% 20.51/5.23 +-Applying beta-rule and splitting (2634), into two cases.
% 20.51/5.23 |-Branch one:
% 20.51/5.23 | (867) all_0_200_200 = e20
% 20.51/5.23 |
% 20.51/5.23 | Equations (867) can reduce 844 to:
% 20.51/5.23 | (709) $false
% 20.51/5.23 |
% 20.51/5.23 |-The branch is then unsatisfiable
% 20.51/5.23 |-Branch two:
% 20.51/5.23 | (844) ~ (all_0_200_200 = e20)
% 20.51/5.23 | (2268) all_0_200_200 = e22
% 20.51/5.23 |
% 20.51/5.23 | Equations (2268) can reduce 700 to:
% 20.51/5.23 | (709) $false
% 20.51/5.23 |
% 20.51/5.23 |-The branch is then unsatisfiable
% 20.51/5.23 |-Branch two:
% 20.51/5.23 | (2292) ~ (all_0_197_197 = e22)
% 20.51/5.23 | (2293) all_0_197_197 = e24
% 20.51/5.23 |
% 20.51/5.23 | Equations (2293) can reduce 2292 to:
% 20.51/5.23 | (499) ~ (e24 = e22)
% 20.51/5.23 |
% 20.51/5.23 | From (2293) and (2574) follows:
% 20.51/5.23 | (746) op2(e22, e24) = e22
% 20.51/5.23 |
% 20.51/5.23 | From (2293) and (58) follows:
% 20.51/5.23 | (2662) op2(e22, e24) = e24
% 20.51/5.23 |
% 20.51/5.23 | Instantiating formula (7) with e22, e24, e22, e24 and discharging atoms op2(e22, e24) = e24, op2(e22, e24) = e22, yields:
% 20.51/5.23 | (2370) e24 = e22
% 20.51/5.23 |
% 20.51/5.23 | Equations (2370) can reduce 499 to:
% 20.51/5.23 | (709) $false
% 20.51/5.23 |
% 20.51/5.23 |-The branch is then unsatisfiable
% 20.51/5.23 |-Branch two:
% 20.51/5.23 | (693) ~ (all_0_203_203 = e21)
% 20.51/5.23 | (2329) all_0_203_203 = e22 | all_0_203_203 = e20
% 20.51/5.23 |
% 20.51/5.23 +-Applying beta-rule and splitting (597), into two cases.
% 20.51/5.23 |-Branch one:
% 20.51/5.23 | (687) all_0_192_192 = e21
% 20.51/5.23 |
% 20.51/5.23 | Combining equations (2562,687) yields a new equation:
% 20.51/5.23 | (878) e22 = e21
% 20.51/5.23 |
% 20.51/5.23 | Simplifying 878 yields:
% 20.51/5.23 | (879) e22 = e21
% 20.51/5.23 |
% 20.51/5.23 | Equations (879) can reduce 399 to:
% 20.51/5.23 | (709) $false
% 20.51/5.23 |
% 20.51/5.23 |-The branch is then unsatisfiable
% 20.51/5.23 |-Branch two:
% 20.51/5.23 | (2561) ~ (all_0_192_192 = e21)
% 20.51/5.23 | (3181) all_0_203_203 = e21 | all_0_208_208 = e21
% 20.51/5.23 |
% 20.51/5.23 +-Applying beta-rule and splitting (3181), into two cases.
% 20.51/5.23 |-Branch one:
% 20.51/5.23 | (2247) all_0_203_203 = e21
% 20.51/5.23 |
% 20.51/5.23 | Equations (2247) can reduce 693 to:
% 20.51/5.23 | (709) $false
% 20.51/5.23 |
% 20.51/5.23 |-The branch is then unsatisfiable
% 20.51/5.23 |-Branch two:
% 20.51/5.23 | (693) ~ (all_0_203_203 = e21)
% 20.51/5.23 | (2279) all_0_208_208 = e21
% 20.51/5.23 |
% 20.51/5.23 | Combining equations (758,2279) yields a new equation:
% 20.51/5.23 | (2256) e21 = e20
% 20.51/5.23 |
% 20.51/5.23 | Equations (2256) can reduce 258 to:
% 20.51/5.23 | (709) $false
% 20.51/5.23 |
% 20.51/5.23 |-The branch is then unsatisfiable
% 20.51/5.23 |-Branch two:
% 20.51/5.23 | (798) ~ (all_0_195_195 = e23)
% 20.51/5.23 | (820) all_0_196_196 = e23
% 20.51/5.23 |
% 20.51/5.23 | Combining equations (861,820) yields a new equation:
% 20.51/5.23 | (863) e23 = e20
% 20.51/5.23 |
% 20.51/5.23 | Equations (863) can reduce 383 to:
% 20.51/5.23 | (709) $false
% 20.51/5.23 |
% 20.51/5.23 |-The branch is then unsatisfiable
% 20.51/5.23 % SZS output end Proof for theBenchmark
% 20.51/5.23
% 20.51/5.23 4606ms
%------------------------------------------------------------------------------