TSTP Solution File: ALG112+1 by ePrincess---1.0
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% File : ePrincess---1.0
% Problem : ALG112+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 15:35:11 EDT 2022
% Result : Theorem 6.31s 1.85s
% Output : Proof 13.38s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.10 % Problem : ALG112+1 : TPTP v8.1.0. Released v2.7.0.
% 0.06/0.10 % Command : ePrincess-casc -timeout=%d %s
% 0.10/0.30 % Computer : n032.cluster.edu
% 0.10/0.30 % Model : x86_64 x86_64
% 0.10/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.30 % Memory : 8042.1875MB
% 0.10/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.10/0.30 % CPULimit : 300
% 0.10/0.30 % WCLimit : 600
% 0.10/0.30 % DateTime : Wed Jun 8 13:58:51 EDT 2022
% 0.10/0.30 % CPUTime :
% 0.15/0.49 ____ _
% 0.15/0.49 ___ / __ \_____(_)___ ________ __________
% 0.15/0.49 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.15/0.49 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.15/0.49 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.15/0.49
% 0.15/0.49 A Theorem Prover for First-Order Logic
% 0.15/0.49 (ePrincess v.1.0)
% 0.15/0.49
% 0.15/0.49 (c) Philipp Rümmer, 2009-2015
% 0.15/0.49 (c) Peter Backeman, 2014-2015
% 0.15/0.49 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.15/0.49 Free software under GNU Lesser General Public License (LGPL).
% 0.15/0.49 Bug reports to peter@backeman.se
% 0.15/0.49
% 0.15/0.49 For more information, visit http://user.uu.se/~petba168/breu/
% 0.15/0.49
% 0.15/0.49 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.55/0.54 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.29/0.98 Prover 0: Preprocessing ...
% 4.44/1.44 Prover 0: Constructing countermodel ...
% 6.11/1.85 Prover 0: proved (1310ms)
% 6.31/1.85
% 6.31/1.85 No countermodel exists, formula is valid
% 6.31/1.85 % SZS status Theorem for theBenchmark
% 6.31/1.85
% 6.31/1.85 Generating proof ... found it (size 1361)
% 12.28/3.23
% 12.28/3.23 % SZS output start Proof for theBenchmark
% 12.28/3.23 Assumed formulas after preprocessing and simplification:
% 12.28/3.23 | (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] : ( ~ (v25 = v24) & ~ (v25 = v23) & ~ (v25 = v22) & ~ (v25 = v21) & ~ (v25 = v18) & ~ (v25 = v16) & ~ (v24 = v23) & ~ (v24 = v22) & ~ (v24 = v20) & ~ (v24 = v17) & ~ (v24 = v15) & ~ (v23 = v22) & ~ (v23 = v14) & ~ (v23 = e22) & ~ (v23 = e20) & ~ (v22 = v19) & ~ (v22 = v13) & ~ (v22 = e23) & ~ (v21 = v20) & ~ (v21 = v19) & ~ (v21 = v18) & ~ (v21 = v16) & ~ (v21 = e20) & ~ (v20 = v19) & ~ (v20 = v17) & ~ (v20 = v15) & ~ (v20 = e20) & ~ (v19 = v13) & ~ (v19 = e23) & ~ (v19 = e20) & ~ (v18 = v17) & ~ (v18 = v16) & ~ (v18 = e23) & ~ (v18 = e22) & ~ (v17 = v15) & ~ (v17 = e23) & ~ (v17 = e22) & ~ (v16 = v15) & ~ (v16 = v14) & ~ (v16 = v13) & ~ (v15 = v14) & ~ (v15 = v13) & ~ (v14 = v13) & ~ (v14 = e22) & ~ (v14 = e20) & ~ (v13 = e23) & ~ (v12 = v11) & ~ (v12 = v10) & ~ (v12 = v9) & ~ (v12 = v8) & ~ (v12 = v5) & ~ (v12 = v3) & ~ (v11 = v10) & ~ (v11 = v9) & ~ (v11 = v7) & ~ (v11 = v4) & ~ (v11 = v2) & ~ (v10 = v9) & ~ (v10 = v1) & ~ (v10 = e12) & ~ (v10 = e10) & ~ (v9 = v6) & ~ (v9 = v0) & ~ (v9 = e13) & ~ (v8 = v7) & ~ (v8 = v6) & ~ (v8 = v5) & ~ (v8 = v3) & ~ (v8 = e10) & ~ (v7 = v6) & ~ (v7 = v4) & ~ (v7 = v2) & ~ (v7 = e10) & ~ (v6 = v0) & ~ (v6 = e13) & ~ (v6 = e10) & ~ (v5 = v4) & ~ (v5 = v3) & ~ (v5 = e13) & ~ (v5 = e12) & ~ (v4 = v2) & ~ (v4 = e13) & ~ (v4 = e12) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & ~ (v1 = e12) & ~ (v1 = e10) & ~ (v0 = e13) & ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e23 = e13) & ~ (e23 = e12) & ~ (e23 = e11) & ~ (e23 = e10) & ~ (e22 = e21) & ~ (e22 = e20) & ~ (e22 = e13) & ~ (e22 = e12) & ~ (e22 = e11) & ~ (e22 = e10) & ~ (e21 = e20) & ~ (e21 = e13) & ~ (e21 = e12) & ~ (e21 = e11) & ~ (e21 = e10) & ~ (e20 = e13) & ~ (e20 = e12) & ~ (e20 = e11) & ~ (e20 = e10) & ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = e10) & ~ (e11 = e10) & op1(v12, v12) = v38 & op1(v11, v11) = v34 & op1(v10, v10) = v30 & op1(v9, v9) = v28 & op1(v8, v8) = v37 & op1(v7, v7) = v33 & op1(v6, v6) = v27 & op1(v5, v5) = v36 & op1(v4, v4) = v32 & op1(v3, v3) = v35 & op1(v2, v2) = v31 & op1(v1, v1) = v29 & op1(v0, v0) = v26 & op1(e13, e13) = v12 & op1(e13, e12) = v11 & op1(e13, e11) = v10 & op1(e13, e10) = v9 & op1(e12, e13) = v8 & op1(e12, e12) = v7 & op1(e12, e11) = e10 & op1(e12, e10) = v6 & op1(e11, e13) = v5 & op1(e11, e12) = v4 & op1(e11, e11) = e12 & op1(e11, e10) = e13 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10) = v0 & h1(v12) = v84 & h1(v11) = v82 & h1(v10) = v80 & h1(v9) = v78 & h1(v8) = v76 & h1(v7) = v74 & h1(v6) = v71 & h1(v5) = v69 & h1(v4) = v67 & h1(v3) = v64 & h1(v2) = v62 & h1(v1) = v60 & h1(v0) = v58 & h1(e13) = v53 & h1(e12) = v13 & h1(e11) = e20 & h1(e10) = v52 & h2(v12) = v98 & h2(v11) = v97 & h2(v10) = v96 & h2(v9) = v95 & h2(v8) = v94 & h2(v7) = v93 & h2(v6) = v92 & h2(v5) = v91 & h2(v4) = v90 & h2(v3) = v89 & h2(v2) = v88 & h2(v1) = v87 & h2(v0) = v86 & h2(e13) = e23 & h2(e12) = e22 & h2(e11) = e21 & h2(e10) = e20 & h3(v12) = v125 & h3(v11) = v123 & h3(v10) = v121 & h3(v9) = v119 & h3(v8) = v117 & h3(v7) = v115 & h3(v6) = v112 & h3(v5) = v110 & h3(v4) = v108 & h3(v3) = v105 & h3(v2) = v103 & h3(v1) = v101 & h3(v0) = v99 & h3(e13) = v55 & h3(e12) = v20 & h3(e11) = e22 & h3(e10) = v54 & h4(v12) = v153 & h4(v11) = v151 & h4(v10) = v149 & h4(v9) = v147 & h4(v8) = v145 & h4(v7) = v143 & h4(v6) = v140 & h4(v5) = v138 & h4(v4) = v136 & h4(v3) = v133 & h4(v2) = v131 & h4(v1) = v129 & h4(v0) = v127 & h4(e13) = v57 & h4(e12) = v25 & h4(e11) = e23 & h4(e10) = v56 & op2(v57, v57) = v154 & op2(v57, v56) = v148 & op2(v57, v25) = v152 & op2(v57, e23) = v150 & op2(v56, v57) = v134 & op2(v56, v56) = v128 & op2(v56, v25) = v132 & op2(v56, e23) = v130 & op2(v55, v55) = v126 & op2(v55, v54) = v120 & op2(v55, v20) = v124 & op2(v55, e22) = v122 & op2(v54, v55) = v106 & op2(v54, v54) = v100 & op2(v54, v20) = v104 & op2(v54, e22) = v102 & op2(v53, v53) = v85 & op2(v53, v52) = v79 & op2(v53, v13) = v83 & op2(v53, e20) = v81 & op2(v52, v53) = v65 & op2(v52, v52) = v59 & op2(v52, v13) = v63 & op2(v52, e20) = v61 & op2(v25, v57) = v146 & op2(v25, v56) = v141 & op2(v25, v25) = v144 & op2(v25, v25) = v51 & op2(v25, e23) = v142 & op2(v25, e23) = v56 & op2(v24, v24) = v47 & op2(v23, v23) = v43 & op2(v22, v22) = v41 & op2(v21, v21) = v50 & op2(v20, v55) = v118 & op2(v20, v54) = v113 & op2(v20, v20) = v116 & op2(v20, v20) = v46 & op2(v20, e22) = v114 & op2(v20, e22) = v54 & op2(v19, v19) = v40 & op2(v18, v18) = v49 & op2(v17, v17) = v45 & op2(v16, v16) = v48 & op2(v15, v15) = v44 & op2(v14, v14) = v42 & op2(v13, v53) = v77 & op2(v13, v52) = v72 & op2(v13, v13) = v75 & op2(v13, v13) = v39 & op2(v13, e20) = v73 & op2(v13, e20) = v52 & op2(e23, v57) = v139 & op2(e23, v56) = v135 & op2(e23, v56) = v57 & op2(e23, v25) = v137 & op2(e23, e23) = v25 & op2(e23, e22) = v24 & op2(e23, e21) = v23 & op2(e23, e20) = v22 & op2(e22, v55) = v111 & op2(e22, v54) = v107 & op2(e22, v54) = v55 & op2(e22, v20) = v109 & op2(e22, e23) = v21 & op2(e22, e22) = v20 & op2(e22, e21) = e20 & op2(e22, e20) = v19 & op2(e21, e23) = v18 & op2(e21, e22) = v17 & op2(e21, e21) = e22 & op2(e21, e20) = e23 & op2(e20, v53) = v70 & op2(e20, v52) = v66 & op2(e20, v52) = v53 & op2(e20, v13) = v68 & op2(e20, e23) = v16 & op2(e20, e22) = v15 & op2(e20, e21) = v14 & op2(e20, e20) = v13 & ! [v155] : ! [v156] : ! [v157] : ! [v158] : (v156 = v155 | ~ (op1(v158, v157) = v156) | ~ (op1(v158, v157) = v155)) & ! [v155] : ! [v156] : ! [v157] : ! [v158] : (v156 = v155 | ~ (op2(v158, v157) = v156) | ~ (op2(v158, v157) = v155)) & ! [v155] : ! [v156] : ! [v157] : (v156 = v155 | ~ (h1(v157) = v156) | ~ (h1(v157) = v155)) & ! [v155] : ! [v156] : ! [v157] : (v156 = v155 | ~ (h2(v157) = v156) | ~ (h2(v157) = v155)) & ! [v155] : ! [v156] : ! [v157] : (v156 = v155 | ~ (h3(v157) = v156) | ~ (h3(v157) = v155)) & ! [v155] : ! [v156] : ! [v157] : (v156 = v155 | ~ (h4(v157) = v156) | ~ (h4(v157) = v155)) & ( ~ (v154 = v153) | ~ (v152 = v151) | ~ (v150 = v149) | ~ (v148 = v147) | ~ (v146 = v145) | ~ (v144 = v143) | ~ (v142 = v56) | ~ (v141 = v140) | ~ (v139 = v138) | ~ (v137 = v136) | ~ (v135 = v57) | ~ (v134 = v133) | ~ (v132 = v131) | ~ (v130 = v129) | ~ (v128 = v127) | ( ~ (v57 = e22) & ~ (v56 = e22) & ~ (v25 = e22)) | ( ~ (v57 = e21) & ~ (v56 = e21) & ~ (v25 = e21)) | ( ~ (v57 = e20) & ~ (v56 = e20) & ~ (v25 = e20))) & ( ~ (v126 = v125) | ~ (v124 = v123) | ~ (v122 = v121) | ~ (v120 = v119) | ~ (v118 = v117) | ~ (v116 = v115) | ~ (v114 = v54) | ~ (v113 = v112) | ~ (v111 = v110) | ~ (v109 = v108) | ~ (v107 = v55) | ~ (v106 = v105) | ~ (v104 = v103) | ~ (v102 = v101) | ~ (v100 = v99) | ( ~ (v55 = e23) & ~ (v54 = e23) & ~ (v20 = e23)) | ( ~ (v55 = e21) & ~ (v54 = e21) & ~ (v20 = e21)) | ( ~ (v55 = e20) & ~ (v54 = e20))) & ( ~ (v98 = v25) | ~ (v97 = v24) | ~ (v96 = v23) | ~ (v95 = v22) | ~ (v94 = v21) | ~ (v93 = v20) | ~ (v92 = v19) | ~ (v91 = v18) | ~ (v90 = v17) | ~ (v89 = v16) | ~ (v88 = v15) | ~ (v87 = v14) | ~ (v86 = v13)) & ( ~ (v85 = v84) | ~ (v83 = v82) | ~ (v81 = v80) | ~ (v79 = v78) | ~ (v77 = v76) | ~ (v75 = v74) | ~ (v73 = v52) | ~ (v72 = v71) | ~ (v70 = v69) | ~ (v68 = v67) | ~ (v66 = v53) | ~ (v65 = v64) | ~ (v63 = v62) | ~ (v61 = v60) | ~ (v59 = v58) | ( ~ (v53 = e23) & ~ (v52 = e23)) | ( ~ (v53 = e22) & ~ (v52 = e22) & ~ (v13 = e22)) | ( ~ (v53 = e21) & ~ (v52 = e21) & ~ (v13 = e21))) & (v25 = e23 | v25 = e22 | v25 = e21 | v25 = e20) & (v25 = e23 | v24 = e23 | v23 = e23) & (v25 = e23 | v21 = e23 | v16 = e23) & (v25 = e22 | v24 = e22 | v22 = e22) & (v25 = e22 | v21 = e22 | v16 = e22) & (v25 = e21 | v24 = e21 | v23 = e21 | v22 = e21) & (v25 = e21 | v21 = e21 | v18 = e21 | v16 = e21) & (v25 = e20 | v24 = e20 | v22 = e20) & (v25 = e20 | v18 = e20 | v16 = e20) & (v24 = e23 | v24 = e22 | v24 = e21 | v24 = e20) & (v24 = e23 | v20 = e23 | v15 = e23) & (v24 = e22 | v20 = e22 | v15 = e22) & (v24 = e21 | v20 = e21 | v17 = e21 | v15 = e21) & (v24 = e20 | v17 = e20 | v15 = e20) & (v23 = e23 | v23 = e21) & (v23 = e23 | v14 = e23) & (v23 = e21 | v14 = e21) & (v22 = e22 | v22 = e21 | v22 = e20) & (v22 = e22 | v19 = e22 | v13 = e22) & (v22 = e21 | v19 = e21 | v13 = e21) & (v22 = e20 | v13 = e20) & (v21 = e23 | v21 = e22 | v21 = e21) & (v21 = e23 | v20 = e23) & (v21 = e22 | v20 = e22 | v19 = e22) & (v21 = e21 | v20 = e21 | v19 = e21) & (v20 = e23 | v20 = e22 | v20 = e21) & (v19 = e22 | v19 = e21) & (v18 = e21 | v18 = e20) & (v18 = e21 | v17 = e21) & (v18 = e20 | v17 = e20) & (v17 = e21 | v17 = e20) & (v16 = e23 | v16 = e22 | v16 = e21 | v16 = e20) & (v16 = e23 | v15 = e23 | v14 = e23) & (v16 = e22 | v15 = e22 | v13 = e22) & (v16 = e21 | v15 = e21 | v14 = e21 | v13 = e21) & (v16 = e20 | v15 = e20 | v13 = e20) & (v15 = e23 | v15 = e22 | v15 = e21 | v15 = e20) & (v14 = e23 | v14 = e21) & (v13 = e22 | v13 = e21 | v13 = e20) & (v12 = e13 | v12 = e12 | v12 = e11 | v12 = e10) & (v12 = e13 | v11 = e13 | v10 = e13) & (v12 = e13 | v8 = e13 | v3 = e13) & (v12 = e12 | v11 = e12 | v9 = e12) & (v12 = e12 | v8 = e12 | v3 = e12) & (v12 = e11 | v11 = e11 | v10 = e11 | v9 = e11) & (v12 = e11 | v8 = e11 | v5 = e11 | v3 = e11) & (v12 = e10 | v11 = e10 | v9 = e10) & (v12 = e10 | v5 = e10 | v3 = e10) & (v11 = e13 | v11 = e12 | v11 = e11 | v11 = e10) & (v11 = e13 | v7 = e13 | v2 = e13) & (v11 = e12 | v7 = e12 | v2 = e12) & (v11 = e11 | v7 = e11 | v4 = e11 | v2 = e11) & (v11 = e10 | v4 = e10 | v2 = e10) & (v10 = e13 | v10 = e11) & (v10 = e13 | v1 = e13) & (v10 = e11 | v1 = e11) & (v9 = e12 | v9 = e11 | v9 = e10) & (v9 = e12 | v6 = e12 | v0 = e12) & (v9 = e11 | v6 = e11 | v0 = e11) & (v9 = e10 | v0 = e10) & (v8 = e13 | v8 = e12 | v8 = e11) & (v8 = e13 | v7 = e13) & (v8 = e12 | v7 = e12 | v6 = e12) & (v8 = e11 | v7 = e11 | v6 = e11) & (v7 = e13 | v7 = e12 | v7 = e11) & (v6 = e12 | v6 = e11) & (v5 = e11 | v5 = e10) & (v5 = e11 | v4 = e11) & (v5 = e10 | v4 = e10) & (v4 = e11 | v4 = e10) & (v3 = e13 | v3 = e12 | v3 = e11 | v3 = e10) & (v3 = e13 | v2 = e13 | v1 = e13) & (v3 = e12 | v2 = e12 | v0 = e12) & (v3 = e11 | v2 = e11 | v1 = e11 | v0 = e11) & (v3 = e10 | v2 = e10 | v0 = e10) & (v2 = e13 | v2 = e12 | v2 = e11 | v2 = e10) & (v1 = e13 | v1 = e11) & (v0 = e12 | v0 = e11 | v0 = e10) & ((v51 = e23 & v50 = e22 & v49 = e21 & v48 = e20) | (v47 = e23 & v46 = e22 & v45 = e21 & v44 = e20) | (v43 = e23 & v42 = e20 & v20 = e21 & v13 = e22) | (v41 = e23 & v40 = e22 & v39 = e20 & v25 = e21)) & ((v38 = e13 & v37 = e12 & v36 = e11 & v35 = e10) | (v34 = e13 & v33 = e12 & v32 = e11 & v31 = e10) | (v30 = e13 & v29 = e10 & v7 = e11 & v0 = e12) | (v28 = e13 & v27 = e12 & v26 = e10 & v12 = e11)))
% 12.28/3.29 | 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 yields:
% 12.28/3.29 | (1) ~ (all_0_129_129 = all_0_130_130) & ~ (all_0_129_129 = all_0_131_131) & ~ (all_0_129_129 = all_0_132_132) & ~ (all_0_129_129 = all_0_133_133) & ~ (all_0_129_129 = all_0_136_136) & ~ (all_0_129_129 = all_0_138_138) & ~ (all_0_130_130 = all_0_131_131) & ~ (all_0_130_130 = all_0_132_132) & ~ (all_0_130_130 = all_0_134_134) & ~ (all_0_130_130 = all_0_137_137) & ~ (all_0_130_130 = all_0_139_139) & ~ (all_0_131_131 = all_0_132_132) & ~ (all_0_131_131 = all_0_140_140) & ~ (all_0_131_131 = e22) & ~ (all_0_131_131 = e20) & ~ (all_0_132_132 = all_0_135_135) & ~ (all_0_132_132 = all_0_141_141) & ~ (all_0_132_132 = e23) & ~ (all_0_133_133 = all_0_134_134) & ~ (all_0_133_133 = all_0_135_135) & ~ (all_0_133_133 = all_0_136_136) & ~ (all_0_133_133 = all_0_138_138) & ~ (all_0_133_133 = e20) & ~ (all_0_134_134 = all_0_135_135) & ~ (all_0_134_134 = all_0_137_137) & ~ (all_0_134_134 = all_0_139_139) & ~ (all_0_134_134 = e20) & ~ (all_0_135_135 = all_0_141_141) & ~ (all_0_135_135 = e23) & ~ (all_0_135_135 = e20) & ~ (all_0_136_136 = all_0_137_137) & ~ (all_0_136_136 = all_0_138_138) & ~ (all_0_136_136 = e23) & ~ (all_0_136_136 = e22) & ~ (all_0_137_137 = all_0_139_139) & ~ (all_0_137_137 = e23) & ~ (all_0_137_137 = e22) & ~ (all_0_138_138 = all_0_139_139) & ~ (all_0_138_138 = all_0_140_140) & ~ (all_0_138_138 = all_0_141_141) & ~ (all_0_139_139 = all_0_140_140) & ~ (all_0_139_139 = all_0_141_141) & ~ (all_0_140_140 = all_0_141_141) & ~ (all_0_140_140 = e22) & ~ (all_0_140_140 = e20) & ~ (all_0_141_141 = e23) & ~ (all_0_142_142 = all_0_143_143) & ~ (all_0_142_142 = all_0_144_144) & ~ (all_0_142_142 = all_0_145_145) & ~ (all_0_142_142 = all_0_146_146) & ~ (all_0_142_142 = all_0_149_149) & ~ (all_0_142_142 = all_0_151_151) & ~ (all_0_143_143 = all_0_144_144) & ~ (all_0_143_143 = all_0_145_145) & ~ (all_0_143_143 = all_0_147_147) & ~ (all_0_143_143 = all_0_150_150) & ~ (all_0_143_143 = all_0_152_152) & ~ (all_0_144_144 = all_0_145_145) & ~ (all_0_144_144 = all_0_153_153) & ~ (all_0_144_144 = e12) & ~ (all_0_144_144 = e10) & ~ (all_0_145_145 = all_0_148_148) & ~ (all_0_145_145 = all_0_154_154) & ~ (all_0_145_145 = e13) & ~ (all_0_146_146 = all_0_147_147) & ~ (all_0_146_146 = all_0_148_148) & ~ (all_0_146_146 = all_0_149_149) & ~ (all_0_146_146 = all_0_151_151) & ~ (all_0_146_146 = e10) & ~ (all_0_147_147 = all_0_148_148) & ~ (all_0_147_147 = all_0_150_150) & ~ (all_0_147_147 = all_0_152_152) & ~ (all_0_147_147 = e10) & ~ (all_0_148_148 = all_0_154_154) & ~ (all_0_148_148 = e13) & ~ (all_0_148_148 = e10) & ~ (all_0_149_149 = all_0_150_150) & ~ (all_0_149_149 = all_0_151_151) & ~ (all_0_149_149 = e13) & ~ (all_0_149_149 = e12) & ~ (all_0_150_150 = all_0_152_152) & ~ (all_0_150_150 = e13) & ~ (all_0_150_150 = e12) & ~ (all_0_151_151 = all_0_152_152) & ~ (all_0_151_151 = all_0_153_153) & ~ (all_0_151_151 = all_0_154_154) & ~ (all_0_152_152 = all_0_153_153) & ~ (all_0_152_152 = all_0_154_154) & ~ (all_0_153_153 = all_0_154_154) & ~ (all_0_153_153 = e12) & ~ (all_0_153_153 = e10) & ~ (all_0_154_154 = e13) & ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e23 = e13) & ~ (e23 = e12) & ~ (e23 = e11) & ~ (e23 = e10) & ~ (e22 = e21) & ~ (e22 = e20) & ~ (e22 = e13) & ~ (e22 = e12) & ~ (e22 = e11) & ~ (e22 = e10) & ~ (e21 = e20) & ~ (e21 = e13) & ~ (e21 = e12) & ~ (e21 = e11) & ~ (e21 = e10) & ~ (e20 = e13) & ~ (e20 = e12) & ~ (e20 = e11) & ~ (e20 = e10) & ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = e10) & ~ (e11 = e10) & op1(all_0_142_142, all_0_142_142) = all_0_116_116 & op1(all_0_143_143, all_0_143_143) = all_0_120_120 & op1(all_0_144_144, all_0_144_144) = all_0_124_124 & op1(all_0_145_145, all_0_145_145) = all_0_126_126 & op1(all_0_146_146, all_0_146_146) = all_0_117_117 & op1(all_0_147_147, all_0_147_147) = all_0_121_121 & op1(all_0_148_148, all_0_148_148) = all_0_127_127 & op1(all_0_149_149, all_0_149_149) = all_0_118_118 & op1(all_0_150_150, all_0_150_150) = all_0_122_122 & op1(all_0_151_151, all_0_151_151) = all_0_119_119 & op1(all_0_152_152, all_0_152_152) = all_0_123_123 & op1(all_0_153_153, all_0_153_153) = all_0_125_125 & op1(all_0_154_154, all_0_154_154) = all_0_128_128 & op1(e13, e13) = all_0_142_142 & op1(e13, e12) = all_0_143_143 & op1(e13, e11) = all_0_144_144 & op1(e13, e10) = all_0_145_145 & op1(e12, e13) = all_0_146_146 & op1(e12, e12) = all_0_147_147 & op1(e12, e11) = e10 & op1(e12, e10) = all_0_148_148 & op1(e11, e13) = all_0_149_149 & op1(e11, e12) = all_0_150_150 & op1(e11, e11) = e12 & op1(e11, e10) = e13 & op1(e10, e13) = all_0_151_151 & op1(e10, e12) = all_0_152_152 & op1(e10, e11) = all_0_153_153 & op1(e10, e10) = all_0_154_154 & h1(all_0_142_142) = all_0_70_70 & h1(all_0_143_143) = all_0_72_72 & h1(all_0_144_144) = all_0_74_74 & h1(all_0_145_145) = all_0_76_76 & h1(all_0_146_146) = all_0_78_78 & h1(all_0_147_147) = all_0_80_80 & h1(all_0_148_148) = all_0_83_83 & h1(all_0_149_149) = all_0_85_85 & h1(all_0_150_150) = all_0_87_87 & h1(all_0_151_151) = all_0_90_90 & h1(all_0_152_152) = all_0_92_92 & h1(all_0_153_153) = all_0_94_94 & h1(all_0_154_154) = all_0_96_96 & h1(e13) = all_0_101_101 & h1(e12) = all_0_141_141 & h1(e11) = e20 & h1(e10) = all_0_102_102 & h2(all_0_142_142) = all_0_56_56 & h2(all_0_143_143) = all_0_57_57 & h2(all_0_144_144) = all_0_58_58 & h2(all_0_145_145) = all_0_59_59 & h2(all_0_146_146) = all_0_60_60 & h2(all_0_147_147) = all_0_61_61 & h2(all_0_148_148) = all_0_62_62 & h2(all_0_149_149) = all_0_63_63 & h2(all_0_150_150) = all_0_64_64 & h2(all_0_151_151) = all_0_65_65 & h2(all_0_152_152) = all_0_66_66 & h2(all_0_153_153) = all_0_67_67 & h2(all_0_154_154) = all_0_68_68 & h2(e13) = e23 & h2(e12) = e22 & h2(e11) = e21 & h2(e10) = e20 & h3(all_0_142_142) = all_0_29_29 & h3(all_0_143_143) = all_0_31_31 & h3(all_0_144_144) = all_0_33_33 & h3(all_0_145_145) = all_0_35_35 & h3(all_0_146_146) = all_0_37_37 & h3(all_0_147_147) = all_0_39_39 & h3(all_0_148_148) = all_0_42_42 & h3(all_0_149_149) = all_0_44_44 & h3(all_0_150_150) = all_0_46_46 & h3(all_0_151_151) = all_0_49_49 & h3(all_0_152_152) = all_0_51_51 & h3(all_0_153_153) = all_0_53_53 & h3(all_0_154_154) = all_0_55_55 & h3(e13) = all_0_99_99 & h3(e12) = all_0_134_134 & h3(e11) = e22 & h3(e10) = all_0_100_100 & h4(all_0_142_142) = all_0_1_1 & h4(all_0_143_143) = all_0_3_3 & h4(all_0_144_144) = all_0_5_5 & h4(all_0_145_145) = all_0_7_7 & h4(all_0_146_146) = all_0_9_9 & h4(all_0_147_147) = all_0_11_11 & h4(all_0_148_148) = all_0_14_14 & h4(all_0_149_149) = all_0_16_16 & h4(all_0_150_150) = all_0_18_18 & h4(all_0_151_151) = all_0_21_21 & h4(all_0_152_152) = all_0_23_23 & h4(all_0_153_153) = all_0_25_25 & h4(all_0_154_154) = all_0_27_27 & h4(e13) = all_0_97_97 & h4(e12) = all_0_129_129 & h4(e11) = e23 & h4(e10) = all_0_98_98 & op2(all_0_97_97, all_0_97_97) = all_0_0_0 & op2(all_0_97_97, all_0_98_98) = all_0_6_6 & op2(all_0_97_97, all_0_129_129) = all_0_2_2 & op2(all_0_97_97, e23) = all_0_4_4 & op2(all_0_98_98, all_0_97_97) = all_0_20_20 & op2(all_0_98_98, all_0_98_98) = all_0_26_26 & op2(all_0_98_98, all_0_129_129) = all_0_22_22 & op2(all_0_98_98, e23) = all_0_24_24 & op2(all_0_99_99, all_0_99_99) = all_0_28_28 & op2(all_0_99_99, all_0_100_100) = all_0_34_34 & op2(all_0_99_99, all_0_134_134) = all_0_30_30 & op2(all_0_99_99, e22) = all_0_32_32 & op2(all_0_100_100, all_0_99_99) = all_0_48_48 & op2(all_0_100_100, all_0_100_100) = all_0_54_54 & op2(all_0_100_100, all_0_134_134) = all_0_50_50 & op2(all_0_100_100, e22) = all_0_52_52 & op2(all_0_101_101, all_0_101_101) = all_0_69_69 & op2(all_0_101_101, all_0_102_102) = all_0_75_75 & op2(all_0_101_101, all_0_141_141) = all_0_71_71 & op2(all_0_101_101, e20) = all_0_73_73 & op2(all_0_102_102, all_0_101_101) = all_0_89_89 & op2(all_0_102_102, all_0_102_102) = all_0_95_95 & op2(all_0_102_102, all_0_141_141) = all_0_91_91 & op2(all_0_102_102, e20) = all_0_93_93 & op2(all_0_129_129, all_0_97_97) = all_0_8_8 & op2(all_0_129_129, all_0_98_98) = all_0_13_13 & op2(all_0_129_129, all_0_129_129) = all_0_10_10 & op2(all_0_129_129, all_0_129_129) = all_0_103_103 & op2(all_0_129_129, e23) = all_0_12_12 & op2(all_0_129_129, e23) = all_0_98_98 & op2(all_0_130_130, all_0_130_130) = all_0_107_107 & op2(all_0_131_131, all_0_131_131) = all_0_111_111 & op2(all_0_132_132, all_0_132_132) = all_0_113_113 & op2(all_0_133_133, all_0_133_133) = all_0_104_104 & op2(all_0_134_134, all_0_99_99) = all_0_36_36 & op2(all_0_134_134, all_0_100_100) = all_0_41_41 & op2(all_0_134_134, all_0_134_134) = all_0_38_38 & op2(all_0_134_134, all_0_134_134) = all_0_108_108 & op2(all_0_134_134, e22) = all_0_40_40 & op2(all_0_134_134, e22) = all_0_100_100 & op2(all_0_135_135, all_0_135_135) = all_0_114_114 & op2(all_0_136_136, all_0_136_136) = all_0_105_105 & op2(all_0_137_137, all_0_137_137) = all_0_109_109 & op2(all_0_138_138, all_0_138_138) = all_0_106_106 & op2(all_0_139_139, all_0_139_139) = all_0_110_110 & op2(all_0_140_140, all_0_140_140) = all_0_112_112 & op2(all_0_141_141, all_0_101_101) = all_0_77_77 & op2(all_0_141_141, all_0_102_102) = all_0_82_82 & op2(all_0_141_141, all_0_141_141) = all_0_79_79 & op2(all_0_141_141, all_0_141_141) = all_0_115_115 & op2(all_0_141_141, e20) = all_0_81_81 & op2(all_0_141_141, e20) = all_0_102_102 & op2(e23, all_0_97_97) = all_0_15_15 & op2(e23, all_0_98_98) = all_0_19_19 & op2(e23, all_0_98_98) = all_0_97_97 & op2(e23, all_0_129_129) = all_0_17_17 & op2(e23, e23) = all_0_129_129 & op2(e23, e22) = all_0_130_130 & op2(e23, e21) = all_0_131_131 & op2(e23, e20) = all_0_132_132 & op2(e22, all_0_99_99) = all_0_43_43 & op2(e22, all_0_100_100) = all_0_47_47 & op2(e22, all_0_100_100) = all_0_99_99 & op2(e22, all_0_134_134) = all_0_45_45 & op2(e22, e23) = all_0_133_133 & op2(e22, e22) = all_0_134_134 & op2(e22, e21) = e20 & op2(e22, e20) = all_0_135_135 & op2(e21, e23) = all_0_136_136 & op2(e21, e22) = all_0_137_137 & op2(e21, e21) = e22 & op2(e21, e20) = e23 & op2(e20, all_0_101_101) = all_0_84_84 & op2(e20, all_0_102_102) = all_0_88_88 & op2(e20, all_0_102_102) = all_0_101_101 & op2(e20, all_0_141_141) = all_0_86_86 & op2(e20, e23) = all_0_138_138 & op2(e20, e22) = all_0_139_139 & op2(e20, e21) = all_0_140_140 & op2(e20, e20) = all_0_141_141 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0)) & ( ~ (all_0_0_0 = all_0_1_1) | ~ (all_0_2_2 = all_0_3_3) | ~ (all_0_4_4 = all_0_5_5) | ~ (all_0_6_6 = all_0_7_7) | ~ (all_0_8_8 = all_0_9_9) | ~ (all_0_10_10 = all_0_11_11) | ~ (all_0_12_12 = all_0_98_98) | ~ (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_97_97) | ~ (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_97_97 = e22) & ~ (all_0_98_98 = e22) & ~ (all_0_129_129 = e22)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e21) & ~ (all_0_129_129 = e21)) | ( ~ (all_0_97_97 = e20) & ~ (all_0_98_98 = e20) & ~ (all_0_129_129 = e20))) & ( ~ (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_100_100) | ~ (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_99_99) | ~ (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_99_99 = e23) & ~ (all_0_100_100 = e23) & ~ (all_0_134_134 = e23)) | ( ~ (all_0_99_99 = e21) & ~ (all_0_100_100 = e21) & ~ (all_0_134_134 = e21)) | ( ~ (all_0_99_99 = e20) & ~ (all_0_100_100 = e20))) & ( ~ (all_0_56_56 = all_0_129_129) | ~ (all_0_57_57 = all_0_130_130) | ~ (all_0_58_58 = all_0_131_131) | ~ (all_0_59_59 = all_0_132_132) | ~ (all_0_60_60 = all_0_133_133) | ~ (all_0_61_61 = all_0_134_134) | ~ (all_0_62_62 = all_0_135_135) | ~ (all_0_63_63 = all_0_136_136) | ~ (all_0_64_64 = all_0_137_137) | ~ (all_0_65_65 = all_0_138_138) | ~ (all_0_66_66 = all_0_139_139) | ~ (all_0_67_67 = all_0_140_140) | ~ (all_0_68_68 = all_0_141_141)) & ( ~ (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_102_102) | ~ (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_101_101) | ~ (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_101_101 = e23) & ~ (all_0_102_102 = e23)) | ( ~ (all_0_101_101 = e22) & ~ (all_0_102_102 = e22) & ~ (all_0_141_141 = e22)) | ( ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e21) & ~ (all_0_141_141 = e21))) & (all_0_129_129 = e23 | all_0_129_129 = e22 | all_0_129_129 = e21 | all_0_129_129 = e20) & (all_0_129_129 = e23 | all_0_130_130 = e23 | all_0_131_131 = e23) & (all_0_129_129 = e23 | all_0_133_133 = e23 | all_0_138_138 = e23) & (all_0_129_129 = e22 | all_0_130_130 = e22 | all_0_132_132 = e22) & (all_0_129_129 = e22 | all_0_133_133 = e22 | all_0_138_138 = e22) & (all_0_129_129 = e21 | all_0_130_130 = e21 | all_0_131_131 = e21 | all_0_132_132 = e21) & (all_0_129_129 = e21 | all_0_133_133 = e21 | all_0_136_136 = e21 | all_0_138_138 = e21) & (all_0_129_129 = e20 | all_0_130_130 = e20 | all_0_132_132 = e20) & (all_0_129_129 = e20 | all_0_136_136 = e20 | all_0_138_138 = e20) & (all_0_130_130 = e23 | all_0_130_130 = e22 | all_0_130_130 = e21 | all_0_130_130 = e20) & (all_0_130_130 = e23 | all_0_134_134 = e23 | all_0_139_139 = e23) & (all_0_130_130 = e22 | all_0_134_134 = e22 | all_0_139_139 = e22) & (all_0_130_130 = e21 | all_0_134_134 = e21 | all_0_137_137 = e21 | all_0_139_139 = e21) & (all_0_130_130 = e20 | all_0_137_137 = e20 | all_0_139_139 = e20) & (all_0_131_131 = e23 | all_0_131_131 = e21) & (all_0_131_131 = e23 | all_0_140_140 = e23) & (all_0_131_131 = e21 | all_0_140_140 = e21) & (all_0_132_132 = e22 | all_0_132_132 = e21 | all_0_132_132 = e20) & (all_0_132_132 = e22 | all_0_135_135 = e22 | all_0_141_141 = e22) & (all_0_132_132 = e21 | all_0_135_135 = e21 | all_0_141_141 = e21) & (all_0_132_132 = e20 | all_0_141_141 = e20) & (all_0_133_133 = e23 | all_0_133_133 = e22 | all_0_133_133 = e21) & (all_0_133_133 = e23 | all_0_134_134 = e23) & (all_0_133_133 = e22 | all_0_134_134 = e22 | all_0_135_135 = e22) & (all_0_133_133 = e21 | all_0_134_134 = e21 | all_0_135_135 = e21) & (all_0_134_134 = e23 | all_0_134_134 = e22 | all_0_134_134 = e21) & (all_0_135_135 = e22 | all_0_135_135 = e21) & (all_0_136_136 = e21 | all_0_136_136 = e20) & (all_0_136_136 = e21 | all_0_137_137 = e21) & (all_0_136_136 = e20 | all_0_137_137 = e20) & (all_0_137_137 = e21 | all_0_137_137 = e20) & (all_0_138_138 = e23 | all_0_138_138 = e22 | all_0_138_138 = e21 | all_0_138_138 = e20) & (all_0_138_138 = e23 | all_0_139_139 = e23 | all_0_140_140 = e23) & (all_0_138_138 = e22 | all_0_139_139 = e22 | all_0_141_141 = e22) & (all_0_138_138 = e21 | all_0_139_139 = e21 | all_0_140_140 = e21 | all_0_141_141 = e21) & (all_0_138_138 = e20 | all_0_139_139 = e20 | all_0_141_141 = e20) & (all_0_139_139 = e23 | all_0_139_139 = e22 | all_0_139_139 = e21 | all_0_139_139 = e20) & (all_0_140_140 = e23 | all_0_140_140 = e21) & (all_0_141_141 = e22 | all_0_141_141 = e21 | all_0_141_141 = e20) & (all_0_142_142 = e13 | all_0_142_142 = e12 | all_0_142_142 = e11 | all_0_142_142 = e10) & (all_0_142_142 = e13 | all_0_143_143 = e13 | all_0_144_144 = e13) & (all_0_142_142 = e13 | all_0_146_146 = e13 | all_0_151_151 = e13) & (all_0_142_142 = e12 | all_0_143_143 = e12 | all_0_145_145 = e12) & (all_0_142_142 = e12 | all_0_146_146 = e12 | all_0_151_151 = e12) & (all_0_142_142 = e11 | all_0_143_143 = e11 | all_0_144_144 = e11 | all_0_145_145 = e11) & (all_0_142_142 = e11 | all_0_146_146 = e11 | all_0_149_149 = e11 | all_0_151_151 = e11) & (all_0_142_142 = e10 | all_0_143_143 = e10 | all_0_145_145 = e10) & (all_0_142_142 = e10 | all_0_149_149 = e10 | all_0_151_151 = e10) & (all_0_143_143 = e13 | all_0_143_143 = e12 | all_0_143_143 = e11 | all_0_143_143 = e10) & (all_0_143_143 = e13 | all_0_147_147 = e13 | all_0_152_152 = e13) & (all_0_143_143 = e12 | all_0_147_147 = e12 | all_0_152_152 = e12) & (all_0_143_143 = e11 | all_0_147_147 = e11 | all_0_150_150 = e11 | all_0_152_152 = e11) & (all_0_143_143 = e10 | all_0_150_150 = e10 | all_0_152_152 = e10) & (all_0_144_144 = e13 | all_0_144_144 = e11) & (all_0_144_144 = e13 | all_0_153_153 = e13) & (all_0_144_144 = e11 | all_0_153_153 = e11) & (all_0_145_145 = e12 | all_0_145_145 = e11 | all_0_145_145 = e10) & (all_0_145_145 = e12 | all_0_148_148 = e12 | all_0_154_154 = e12) & (all_0_145_145 = e11 | all_0_148_148 = e11 | all_0_154_154 = e11) & (all_0_145_145 = e10 | all_0_154_154 = e10) & (all_0_146_146 = e13 | all_0_146_146 = e12 | all_0_146_146 = e11) & (all_0_146_146 = e13 | all_0_147_147 = e13) & (all_0_146_146 = e12 | all_0_147_147 = e12 | all_0_148_148 = e12) & (all_0_146_146 = e11 | all_0_147_147 = e11 | all_0_148_148 = e11) & (all_0_147_147 = e13 | all_0_147_147 = e12 | all_0_147_147 = e11) & (all_0_148_148 = e12 | all_0_148_148 = e11) & (all_0_149_149 = e11 | all_0_149_149 = e10) & (all_0_149_149 = e11 | all_0_150_150 = e11) & (all_0_149_149 = e10 | all_0_150_150 = e10) & (all_0_150_150 = e11 | all_0_150_150 = e10) & (all_0_151_151 = e13 | all_0_151_151 = e12 | all_0_151_151 = e11 | all_0_151_151 = e10) & (all_0_151_151 = e13 | all_0_152_152 = e13 | all_0_153_153 = e13) & (all_0_151_151 = e12 | all_0_152_152 = e12 | all_0_154_154 = e12) & (all_0_151_151 = e11 | all_0_152_152 = e11 | all_0_153_153 = e11 | all_0_154_154 = e11) & (all_0_151_151 = e10 | all_0_152_152 = e10 | all_0_154_154 = e10) & (all_0_152_152 = e13 | all_0_152_152 = e12 | all_0_152_152 = e11 | all_0_152_152 = e10) & (all_0_153_153 = e13 | all_0_153_153 = e11) & (all_0_154_154 = e12 | all_0_154_154 = e11 | all_0_154_154 = e10) & ((all_0_103_103 = e23 & all_0_104_104 = e22 & all_0_105_105 = e21 & all_0_106_106 = e20) | (all_0_107_107 = e23 & all_0_108_108 = e22 & all_0_109_109 = e21 & all_0_110_110 = e20) | (all_0_111_111 = e23 & all_0_112_112 = e20 & all_0_134_134 = e21 & all_0_141_141 = e22) | (all_0_113_113 = e23 & all_0_114_114 = e22 & all_0_115_115 = e20 & all_0_129_129 = e21)) & ((all_0_116_116 = e13 & all_0_117_117 = e12 & all_0_118_118 = e11 & all_0_119_119 = e10) | (all_0_120_120 = e13 & all_0_121_121 = e12 & all_0_122_122 = e11 & all_0_123_123 = e10) | (all_0_124_124 = e13 & all_0_125_125 = e10 & all_0_147_147 = e11 & all_0_154_154 = e12) | (all_0_126_126 = e13 & all_0_127_127 = e12 & all_0_128_128 = e10 & all_0_142_142 = e11))
% 12.28/3.31 |
% 12.28/3.31 | Applying alpha-rule on (1) yields:
% 12.28/3.31 | (2) h2(e12) = e22
% 12.28/3.31 | (3) op2(all_0_135_135, all_0_135_135) = all_0_114_114
% 12.28/3.31 | (4) op2(all_0_134_134, all_0_134_134) = all_0_108_108
% 12.28/3.31 | (5) ~ (e12 = e10)
% 12.28/3.31 | (6) h1(all_0_151_151) = all_0_90_90
% 12.28/3.31 | (7) all_0_129_129 = e23 | all_0_129_129 = e22 | all_0_129_129 = e21 | all_0_129_129 = e20
% 12.28/3.31 | (8) ~ (all_0_142_142 = all_0_149_149)
% 12.28/3.31 | (9) ~ (all_0_153_153 = e10)
% 12.28/3.31 | (10) ~ (e23 = e20)
% 12.28/3.31 | (11) op2(all_0_97_97, all_0_129_129) = all_0_2_2
% 12.28/3.31 | (12) ~ (e22 = e10)
% 12.28/3.31 | (13) all_0_151_151 = e10 | all_0_152_152 = e10 | all_0_154_154 = e10
% 12.28/3.31 | (14) h3(all_0_151_151) = all_0_49_49
% 12.28/3.31 | (15) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0))
% 12.28/3.31 | (16) op2(all_0_139_139, all_0_139_139) = all_0_110_110
% 12.28/3.31 | (17) ~ (all_0_56_56 = all_0_129_129) | ~ (all_0_57_57 = all_0_130_130) | ~ (all_0_58_58 = all_0_131_131) | ~ (all_0_59_59 = all_0_132_132) | ~ (all_0_60_60 = all_0_133_133) | ~ (all_0_61_61 = all_0_134_134) | ~ (all_0_62_62 = all_0_135_135) | ~ (all_0_63_63 = all_0_136_136) | ~ (all_0_64_64 = all_0_137_137) | ~ (all_0_65_65 = all_0_138_138) | ~ (all_0_66_66 = all_0_139_139) | ~ (all_0_67_67 = all_0_140_140) | ~ (all_0_68_68 = all_0_141_141)
% 12.28/3.31 | (18) ~ (all_0_142_142 = all_0_145_145)
% 12.28/3.31 | (19) all_0_129_129 = e22 | all_0_133_133 = e22 | all_0_138_138 = e22
% 12.28/3.31 | (20) all_0_148_148 = e12 | all_0_148_148 = e11
% 12.28/3.31 | (21) h4(all_0_153_153) = all_0_25_25
% 12.28/3.31 | (22) ~ (all_0_150_150 = e12)
% 12.28/3.31 | (23) all_0_130_130 = e21 | all_0_134_134 = e21 | all_0_137_137 = e21 | all_0_139_139 = e21
% 12.28/3.31 | (24) ~ (all_0_145_145 = all_0_154_154)
% 12.28/3.31 | (25) all_0_144_144 = e13 | all_0_153_153 = e13
% 12.28/3.31 | (26) ~ (e22 = e11)
% 12.28/3.31 | (27) ~ (all_0_142_142 = all_0_144_144)
% 12.28/3.31 | (28) op2(e22, all_0_100_100) = all_0_99_99
% 12.28/3.31 | (29) ~ (all_0_146_146 = all_0_148_148)
% 12.28/3.31 | (30) ~ (all_0_153_153 = all_0_154_154)
% 12.28/3.31 | (31) h4(all_0_147_147) = all_0_11_11
% 12.28/3.31 | (32) ~ (all_0_133_133 = all_0_134_134)
% 12.28/3.31 | (33) h3(all_0_146_146) = all_0_37_37
% 12.28/3.31 | (34) op2(e20, e23) = all_0_138_138
% 12.28/3.31 | (35) all_0_138_138 = e20 | all_0_139_139 = e20 | all_0_141_141 = e20
% 12.28/3.31 | (36) ~ (all_0_131_131 = all_0_132_132)
% 12.28/3.31 | (37) h3(e12) = all_0_134_134
% 12.28/3.31 | (38) all_0_130_130 = e22 | all_0_134_134 = e22 | all_0_139_139 = e22
% 12.28/3.31 | (39) h3(all_0_144_144) = all_0_33_33
% 12.28/3.31 | (40) all_0_129_129 = e21 | all_0_130_130 = e21 | all_0_131_131 = e21 | all_0_132_132 = e21
% 12.28/3.31 | (41) ~ (all_0_142_142 = all_0_151_151)
% 12.28/3.31 | (42) op2(all_0_134_134, all_0_134_134) = all_0_38_38
% 12.28/3.31 | (43) op2(all_0_100_100, all_0_99_99) = all_0_48_48
% 12.28/3.31 | (44) op2(all_0_102_102, all_0_141_141) = all_0_91_91
% 12.28/3.32 | (45) h3(all_0_149_149) = all_0_44_44
% 12.28/3.32 | (46) all_0_130_130 = e23 | all_0_130_130 = e22 | all_0_130_130 = e21 | all_0_130_130 = e20
% 12.28/3.32 | (47) op2(all_0_101_101, e20) = all_0_73_73
% 12.28/3.32 | (48) op2(all_0_129_129, e23) = all_0_98_98
% 12.28/3.32 | (49) all_0_133_133 = e23 | all_0_134_134 = e23
% 12.28/3.32 | (50) all_0_142_142 = e12 | all_0_143_143 = e12 | all_0_145_145 = e12
% 12.28/3.32 | (51) h4(all_0_152_152) = all_0_23_23
% 12.28/3.32 | (52) op2(all_0_100_100, e22) = all_0_52_52
% 12.28/3.32 | (53) ~ (all_0_144_144 = e12)
% 12.28/3.32 | (54) ~ (e21 = e13)
% 12.28/3.32 | (55) ~ (all_0_148_148 = all_0_154_154)
% 12.28/3.32 | (56) ~ (all_0_138_138 = all_0_140_140)
% 12.28/3.32 | (57) ~ (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_102_102) | ~ (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_101_101) | ~ (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_101_101 = e23) & ~ (all_0_102_102 = e23)) | ( ~ (all_0_101_101 = e22) & ~ (all_0_102_102 = e22) & ~ (all_0_141_141 = e22)) | ( ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e21) & ~ (all_0_141_141 = e21))
% 12.28/3.32 | (58) h1(e10) = all_0_102_102
% 12.28/3.32 | (59) ~ (e22 = e13)
% 12.28/3.32 | (60) op1(all_0_148_148, all_0_148_148) = all_0_127_127
% 12.28/3.32 | (61) h1(e13) = all_0_101_101
% 12.28/3.32 | (62) ~ (all_0_149_149 = all_0_150_150)
% 12.28/3.32 | (63) ~ (all_0_137_137 = e23)
% 12.28/3.32 | (64) ~ (all_0_146_146 = e10)
% 12.28/3.32 | (65) ~ (all_0_154_154 = e13)
% 12.28/3.32 | (66) all_0_150_150 = e11 | all_0_150_150 = e10
% 12.28/3.32 | (67) ~ (all_0_129_129 = all_0_132_132)
% 12.28/3.32 | (68) all_0_145_145 = e12 | all_0_145_145 = e11 | all_0_145_145 = e10
% 12.28/3.32 | (69) ~ (all_0_140_140 = e20)
% 12.28/3.32 | (70) op1(e10, e11) = all_0_153_153
% 12.28/3.32 | (71) ~ (all_0_148_148 = e13)
% 12.28/3.32 | (72) ~ (e20 = e13)
% 12.28/3.32 | (73) op1(e13, e11) = all_0_144_144
% 12.28/3.32 | (74) op2(e23, e23) = all_0_129_129
% 12.28/3.32 | (75) all_0_143_143 = e12 | all_0_147_147 = e12 | all_0_152_152 = e12
% 12.28/3.32 | (76) op2(e22, all_0_134_134) = all_0_45_45
% 12.28/3.32 | (77) op2(all_0_97_97, all_0_97_97) = all_0_0_0
% 12.28/3.32 | (78) ~ (all_0_136_136 = all_0_137_137)
% 12.28/3.32 | (79) ~ (e23 = e11)
% 12.28/3.32 | (80) ~ (e22 = e21)
% 12.28/3.32 | (81) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0))
% 12.28/3.32 | (82) op2(all_0_100_100, all_0_134_134) = all_0_50_50
% 12.28/3.32 | (83) op2(all_0_141_141, e20) = all_0_81_81
% 12.28/3.32 | (84) (all_0_103_103 = e23 & all_0_104_104 = e22 & all_0_105_105 = e21 & all_0_106_106 = e20) | (all_0_107_107 = e23 & all_0_108_108 = e22 & all_0_109_109 = e21 & all_0_110_110 = e20) | (all_0_111_111 = e23 & all_0_112_112 = e20 & all_0_134_134 = e21 & all_0_141_141 = e22) | (all_0_113_113 = e23 & all_0_114_114 = e22 & all_0_115_115 = e20 & all_0_129_129 = e21)
% 12.28/3.32 | (85) all_0_131_131 = e23 | all_0_140_140 = e23
% 12.28/3.32 | (86) op2(e21, e23) = all_0_136_136
% 12.28/3.32 | (87) ~ (all_0_138_138 = all_0_139_139)
% 12.28/3.32 | (88) all_0_145_145 = e10 | all_0_154_154 = e10
% 12.28/3.32 | (89) op2(e23, all_0_129_129) = all_0_17_17
% 12.28/3.32 | (90) ~ (all_0_139_139 = all_0_141_141)
% 12.28/3.32 | (91) ~ (e12 = e11)
% 12.28/3.32 | (92) ~ (all_0_130_130 = all_0_139_139)
% 12.28/3.32 | (93) ~ (all_0_130_130 = all_0_134_134)
% 12.28/3.32 | (94) ~ (all_0_144_144 = e10)
% 12.28/3.32 | (95) all_0_144_144 = e11 | all_0_153_153 = e11
% 12.28/3.32 | (96) ~ (all_0_135_135 = e23)
% 12.28/3.32 | (97) ~ (all_0_131_131 = e20)
% 12.28/3.32 | (98) h3(all_0_152_152) = all_0_51_51
% 12.28/3.32 | (99) op1(e11, e13) = all_0_149_149
% 12.28/3.32 | (100) ~ (all_0_144_144 = all_0_153_153)
% 12.28/3.32 | (101) all_0_138_138 = e23 | all_0_139_139 = e23 | all_0_140_140 = e23
% 12.28/3.32 | (102) h1(all_0_150_150) = all_0_87_87
% 12.28/3.32 | (103) (all_0_116_116 = e13 & all_0_117_117 = e12 & all_0_118_118 = e11 & all_0_119_119 = e10) | (all_0_120_120 = e13 & all_0_121_121 = e12 & all_0_122_122 = e11 & all_0_123_123 = e10) | (all_0_124_124 = e13 & all_0_125_125 = e10 & all_0_147_147 = e11 & all_0_154_154 = e12) | (all_0_126_126 = e13 & all_0_127_127 = e12 & all_0_128_128 = e10 & all_0_142_142 = e11)
% 12.28/3.32 | (104) op1(e13, e12) = all_0_143_143
% 12.28/3.32 | (105) op2(all_0_134_134, all_0_100_100) = all_0_41_41
% 12.28/3.32 | (106) op2(all_0_138_138, all_0_138_138) = all_0_106_106
% 12.28/3.32 | (107) op1(all_0_153_153, all_0_153_153) = all_0_125_125
% 12.28/3.32 | (108) ~ (all_0_143_143 = all_0_150_150)
% 12.28/3.32 | (109) ~ (all_0_149_149 = all_0_151_151)
% 12.28/3.32 | (110) h3(e11) = e22
% 12.28/3.32 | (111) all_0_149_149 = e11 | all_0_149_149 = e10
% 12.28/3.32 | (112) op1(e11, e11) = e12
% 12.28/3.32 | (113) all_0_133_133 = e22 | all_0_134_134 = e22 | all_0_135_135 = e22
% 12.28/3.32 | (114) ~ (all_0_137_137 = all_0_139_139)
% 12.28/3.32 | (115) h4(e11) = e23
% 12.28/3.32 | (116) op2(all_0_99_99, e22) = all_0_32_32
% 12.28/3.32 | (117) op2(all_0_101_101, all_0_102_102) = all_0_75_75
% 12.28/3.32 | (118) h4(all_0_142_142) = all_0_1_1
% 12.28/3.32 | (119) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0))
% 12.28/3.32 | (120) op2(all_0_99_99, all_0_99_99) = all_0_28_28
% 12.28/3.32 | (121) h3(all_0_142_142) = all_0_29_29
% 12.28/3.32 | (122) all_0_142_142 = e10 | all_0_149_149 = e10 | all_0_151_151 = e10
% 12.28/3.32 | (123) ~ (e20 = e12)
% 12.28/3.32 | (124) op2(e21, e22) = all_0_137_137
% 12.28/3.32 | (125) op2(e23, all_0_98_98) = all_0_97_97
% 12.28/3.32 | (126) op2(e20, e22) = all_0_139_139
% 12.28/3.32 | (127) h2(all_0_143_143) = all_0_57_57
% 12.28/3.32 | (128) all_0_129_129 = e20 | all_0_136_136 = e20 | all_0_138_138 = e20
% 12.28/3.32 | (129) h1(all_0_149_149) = all_0_85_85
% 12.28/3.32 | (130) all_0_151_151 = e13 | all_0_151_151 = e12 | all_0_151_151 = e11 | all_0_151_151 = e10
% 12.28/3.32 | (131) all_0_151_151 = e11 | all_0_152_152 = e11 | all_0_153_153 = e11 | all_0_154_154 = e11
% 12.28/3.32 | (132) op2(all_0_129_129, all_0_97_97) = all_0_8_8
% 12.28/3.32 | (133) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 12.28/3.32 | (134) all_0_132_132 = e20 | all_0_141_141 = e20
% 12.28/3.32 | (135) op2(all_0_141_141, all_0_102_102) = all_0_82_82
% 12.28/3.32 | (136) h4(all_0_151_151) = all_0_21_21
% 12.28/3.32 | (137) ~ (all_0_147_147 = all_0_150_150)
% 12.28/3.32 | (138) op2(all_0_141_141, e20) = all_0_102_102
% 12.28/3.32 | (139) ~ (all_0_132_132 = e23)
% 12.28/3.32 | (140) op2(e22, e21) = e20
% 12.28/3.32 | (141) all_0_145_145 = e12 | all_0_148_148 = e12 | all_0_154_154 = e12
% 12.28/3.32 | (142) all_0_146_146 = e11 | all_0_147_147 = e11 | all_0_148_148 = e11
% 12.28/3.32 | (143) op2(all_0_132_132, all_0_132_132) = all_0_113_113
% 12.28/3.32 | (144) op2(e22, e20) = all_0_135_135
% 12.28/3.33 | (145) ~ (e23 = e13)
% 12.28/3.33 | (146) all_0_142_142 = e13 | all_0_142_142 = e12 | all_0_142_142 = e11 | all_0_142_142 = e10
% 12.28/3.33 | (147) op1(e11, e10) = e13
% 12.28/3.33 | (148) op2(e23, e21) = all_0_131_131
% 12.28/3.33 | (149) h1(all_0_148_148) = all_0_83_83
% 12.28/3.33 | (150) all_0_139_139 = e23 | all_0_139_139 = e22 | all_0_139_139 = e21 | all_0_139_139 = e20
% 12.28/3.33 | (151) h2(all_0_146_146) = all_0_60_60
% 12.28/3.33 | (152) h1(all_0_152_152) = all_0_92_92
% 12.28/3.33 | (153) h1(all_0_147_147) = all_0_80_80
% 12.28/3.33 | (154) op2(e22, e23) = all_0_133_133
% 12.28/3.33 | (155) ~ (e21 = e11)
% 12.28/3.33 | (156) h2(all_0_145_145) = all_0_59_59
% 12.28/3.33 | (157) all_0_138_138 = e22 | all_0_139_139 = e22 | all_0_141_141 = e22
% 12.28/3.33 | (158) all_0_142_142 = e13 | all_0_146_146 = e13 | all_0_151_151 = e13
% 12.28/3.33 | (159) h3(all_0_150_150) = all_0_46_46
% 12.28/3.33 | (160) op2(all_0_101_101, all_0_141_141) = all_0_71_71
% 12.28/3.33 | (161) h1(all_0_143_143) = all_0_72_72
% 12.28/3.33 | (162) op2(e20, all_0_102_102) = all_0_101_101
% 12.28/3.33 | (163) ~ (all_0_135_135 = all_0_141_141)
% 12.28/3.33 | (164) ~ (e13 = e10)
% 12.28/3.33 | (165) all_0_153_153 = e13 | all_0_153_153 = e11
% 12.28/3.33 | (166) all_0_146_146 = e13 | all_0_146_146 = e12 | all_0_146_146 = e11
% 12.28/3.33 | (167) op2(e23, e20) = all_0_132_132
% 12.28/3.33 | (168) op1(e13, e13) = all_0_142_142
% 12.28/3.33 | (169) ~ (e23 = e21)
% 12.28/3.33 | (170) all_0_142_142 = e12 | all_0_146_146 = e12 | all_0_151_151 = e12
% 12.28/3.33 | (171) ~ (all_0_150_150 = e13)
% 12.28/3.33 | (172) op2(all_0_98_98, all_0_97_97) = all_0_20_20
% 12.28/3.33 | (173) all_0_152_152 = e13 | all_0_152_152 = e12 | all_0_152_152 = e11 | all_0_152_152 = e10
% 12.28/3.33 | (174) ~ (all_0_137_137 = e22)
% 12.28/3.33 | (175) ~ (all_0_130_130 = all_0_132_132)
% 12.28/3.33 | (176) op2(all_0_129_129, all_0_98_98) = all_0_13_13
% 12.28/3.33 | (177) h3(e10) = all_0_100_100
% 12.28/3.33 | (178) op2(all_0_141_141, all_0_141_141) = all_0_115_115
% 12.81/3.34 | (179) h4(e12) = all_0_129_129
% 12.81/3.34 | (180) all_0_154_154 = e12 | all_0_154_154 = e11 | all_0_154_154 = e10
% 12.81/3.34 | (181) ~ (all_0_140_140 = all_0_141_141)
% 12.81/3.34 | (182) op2(all_0_102_102, all_0_102_102) = all_0_95_95
% 12.81/3.34 | (183) ~ (e21 = e10)
% 12.81/3.34 | (184) ~ (all_0_148_148 = e10)
% 12.81/3.34 | (185) op1(all_0_150_150, all_0_150_150) = all_0_122_122
% 12.81/3.34 | (186) ~ (all_0_131_131 = e22)
% 12.81/3.34 | (187) ~ (all_0_133_133 = e20)
% 12.81/3.34 | (188) op2(e22, e22) = all_0_134_134
% 12.81/3.34 | (189) op2(all_0_130_130, all_0_130_130) = all_0_107_107
% 12.81/3.34 | (190) all_0_135_135 = e22 | all_0_135_135 = e21
% 12.81/3.34 | (191) op2(e20, e21) = all_0_140_140
% 12.81/3.34 | (192) h1(all_0_154_154) = all_0_96_96
% 12.81/3.34 | (193) ~ (all_0_147_147 = e10)
% 12.81/3.34 | (194) all_0_132_132 = e21 | all_0_135_135 = e21 | all_0_141_141 = e21
% 12.81/3.34 | (195) ~ (all_0_151_151 = all_0_152_152)
% 12.81/3.34 | (196) h2(e10) = e20
% 12.81/3.34 | (197) ~ (all_0_142_142 = all_0_143_143)
% 12.81/3.34 | (198) op1(e10, e13) = all_0_151_151
% 12.81/3.34 | (199) op2(all_0_141_141, all_0_101_101) = all_0_77_77
% 12.81/3.34 | (200) h4(all_0_148_148) = all_0_14_14
% 12.81/3.34 | (201) op2(e20, all_0_101_101) = all_0_84_84
% 12.81/3.34 | (202) ~ (all_0_147_147 = all_0_152_152)
% 12.81/3.34 | (203) op2(all_0_134_134, all_0_99_99) = all_0_36_36
% 12.81/3.34 | (204) ~ (e21 = e12)
% 12.81/3.34 | (205) all_0_143_143 = e13 | all_0_147_147 = e13 | all_0_152_152 = e13
% 12.81/3.34 | (206) ~ (all_0_133_133 = all_0_136_136)
% 12.81/3.34 | (207) ~ (all_0_151_151 = all_0_153_153)
% 12.81/3.34 | (208) all_0_129_129 = e23 | all_0_133_133 = e23 | all_0_138_138 = e23
% 12.81/3.34 | (209) op2(all_0_134_134, e22) = all_0_40_40
% 12.81/3.34 | (210) all_0_142_142 = e13 | all_0_143_143 = e13 | all_0_144_144 = e13
% 12.81/3.34 | (211) h2(all_0_144_144) = all_0_58_58
% 12.81/3.34 | (212) ~ (all_0_144_144 = all_0_145_145)
% 12.81/3.34 | (213) op1(e10, e12) = all_0_152_152
% 12.81/3.34 | (214) ~ (all_0_132_132 = all_0_141_141)
% 12.81/3.34 | (215) ~ (all_0_136_136 = all_0_138_138)
% 12.81/3.34 | (216) all_0_133_133 = e21 | all_0_134_134 = e21 | all_0_135_135 = e21
% 12.81/3.34 | (217) h3(all_0_153_153) = all_0_53_53
% 12.81/3.34 | (218) ~ (all_0_135_135 = e20)
% 12.81/3.34 | (219) all_0_136_136 = e20 | all_0_137_137 = e20
% 12.81/3.34 | (220) op1(all_0_151_151, all_0_151_151) = all_0_119_119
% 12.81/3.34 | (221) h1(e11) = e20
% 12.81/3.34 | (222) h2(all_0_152_152) = all_0_66_66
% 12.81/3.34 | (223) ~ (all_0_136_136 = e22)
% 12.81/3.34 | (224) ~ (all_0_129_129 = all_0_138_138)
% 12.81/3.34 | (225) ~ (all_0_140_140 = e22)
% 12.81/3.34 | (226) all_0_134_134 = e23 | all_0_134_134 = e22 | all_0_134_134 = e21
% 12.81/3.34 | (227) op1(all_0_144_144, all_0_144_144) = all_0_124_124
% 12.81/3.34 | (228) op2(all_0_100_100, all_0_100_100) = all_0_54_54
% 12.81/3.34 | (229) h1(all_0_145_145) = all_0_76_76
% 12.81/3.34 | (230) ~ (all_0_151_151 = all_0_154_154)
% 12.81/3.34 | (231) all_0_142_142 = e10 | all_0_143_143 = e10 | all_0_145_145 = e10
% 12.81/3.34 | (232) op2(all_0_134_134, e22) = all_0_100_100
% 12.81/3.34 | (233) op1(e10, e10) = all_0_154_154
% 12.81/3.34 | (234) ~ (all_0_129_129 = all_0_130_130)
% 12.81/3.34 | (235) h4(all_0_154_154) = all_0_27_27
% 12.81/3.34 | (236) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 12.81/3.34 | (237) op2(e22, all_0_99_99) = all_0_43_43
% 12.81/3.34 | (238) ~ (e11 = e10)
% 12.81/3.34 | (239) ~ (e22 = e20)
% 12.81/3.34 | (240) ~ (all_0_133_133 = all_0_138_138)
% 12.81/3.34 | (241) all_0_132_132 = e22 | all_0_132_132 = e21 | all_0_132_132 = e20
% 12.81/3.34 | (242) op2(all_0_129_129, all_0_129_129) = all_0_103_103
% 12.81/3.34 | (243) op1(e13, e10) = all_0_145_145
% 12.81/3.34 | (244) op2(e23, all_0_97_97) = all_0_15_15
% 12.81/3.34 | (245) h3(all_0_154_154) = all_0_55_55
% 12.81/3.34 | (246) ~ (all_0_153_153 = e12)
% 12.81/3.34 | (247) ~ (e13 = e12)
% 12.81/3.34 | (248) ~ (all_0_129_129 = all_0_133_133)
% 12.81/3.34 | (249) ~ (all_0_136_136 = e23)
% 12.81/3.34 | (250) all_0_144_144 = e13 | all_0_144_144 = e11
% 12.81/3.34 | (251) ~ (all_0_133_133 = all_0_135_135)
% 12.81/3.34 | (252) h2(all_0_142_142) = all_0_56_56
% 12.81/3.34 | (253) all_0_146_146 = e12 | all_0_147_147 = e12 | all_0_148_148 = e12
% 12.81/3.34 | (254) all_0_149_149 = e10 | all_0_150_150 = e10
% 12.81/3.34 | (255) h3(all_0_145_145) = all_0_35_35
% 12.81/3.34 | (256) ~ (all_0_131_131 = all_0_140_140)
% 12.81/3.34 | (257) all_0_141_141 = e22 | all_0_141_141 = e21 | all_0_141_141 = e20
% 12.81/3.34 | (258) op2(all_0_101_101, all_0_101_101) = all_0_69_69
% 12.81/3.34 | (259) ~ (all_0_134_134 = all_0_137_137)
% 12.81/3.34 | (260) ~ (all_0_146_146 = all_0_151_151)
% 12.81/3.34 | (261) h2(all_0_154_154) = all_0_68_68
% 12.81/3.34 | (262) op2(e22, all_0_100_100) = all_0_47_47
% 12.81/3.34 | (263) ~ (all_0_143_143 = all_0_145_145)
% 12.81/3.34 | (264) ~ (all_0_134_134 = e20)
% 12.81/3.34 | (265) all_0_132_132 = e22 | all_0_135_135 = e22 | all_0_141_141 = e22
% 12.81/3.34 | (266) ~ (all_0_145_145 = all_0_148_148)
% 12.81/3.34 | (267) all_0_131_131 = e21 | all_0_140_140 = e21
% 12.81/3.34 | (268) all_0_130_130 = e20 | all_0_137_137 = e20 | all_0_139_139 = e20
% 12.81/3.34 | (269) all_0_140_140 = e23 | all_0_140_140 = e21
% 12.81/3.34 | (270) op2(all_0_97_97, all_0_98_98) = all_0_6_6
% 12.81/3.34 | (271) op2(e20, all_0_141_141) = all_0_86_86
% 12.81/3.34 | (272) op1(all_0_143_143, all_0_143_143) = all_0_120_120
% 12.81/3.34 | (273) h2(all_0_148_148) = all_0_62_62
% 12.81/3.34 | (274) h4(all_0_144_144) = all_0_5_5
% 12.81/3.34 | (275) ~ (all_0_129_129 = all_0_131_131)
% 12.81/3.34 | (276) ~ (all_0_143_143 = all_0_144_144)
% 12.81/3.34 | (277) h2(all_0_147_147) = all_0_61_61
% 12.81/3.34 | (278) all_0_151_151 = e12 | all_0_152_152 = e12 | all_0_154_154 = e12
% 12.81/3.34 | (279) ~ (all_0_146_146 = all_0_149_149)
% 12.81/3.34 | (280) all_0_142_142 = e11 | all_0_146_146 = e11 | all_0_149_149 = e11 | all_0_151_151 = e11
% 12.81/3.34 | (281) all_0_129_129 = e22 | all_0_130_130 = e22 | all_0_132_132 = e22
% 12.81/3.34 | (282) op2(all_0_133_133, all_0_133_133) = all_0_104_104
% 12.81/3.34 | (283) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0))
% 12.81/3.34 | (284) all_0_151_151 = e13 | all_0_152_152 = e13 | all_0_153_153 = e13
% 12.81/3.34 | (285) h4(e13) = all_0_97_97
% 12.81/3.34 | (286) op2(e20, e20) = all_0_141_141
% 12.81/3.34 | (287) op2(e21, e21) = e22
% 12.81/3.34 | (288) ~ (all_0_129_129 = all_0_136_136)
% 12.81/3.34 | (289) ~ (all_0_152_152 = all_0_153_153)
% 12.81/3.34 | (290) ~ (all_0_134_134 = all_0_139_139)
% 12.81/3.34 | (291) all_0_130_130 = e23 | all_0_134_134 = e23 | all_0_139_139 = e23
% 12.81/3.34 | (292) op1(e12, e12) = all_0_147_147
% 12.81/3.34 | (293) ~ (all_0_145_145 = e13)
% 12.81/3.34 | (294) h2(e13) = e23
% 12.81/3.34 | (295) op2(all_0_137_137, all_0_137_137) = all_0_109_109
% 12.81/3.34 | (296) all_0_143_143 = e13 | all_0_143_143 = e12 | all_0_143_143 = e11 | all_0_143_143 = e10
% 12.81/3.34 | (297) op2(e20, all_0_102_102) = all_0_88_88
% 12.81/3.34 | (298) h1(all_0_144_144) = all_0_74_74
% 12.81/3.34 | (299) ~ (e22 = e12)
% 12.81/3.34 | (300) h3(all_0_147_147) = all_0_39_39
% 12.81/3.34 | (301) op2(all_0_136_136, all_0_136_136) = all_0_105_105
% 12.81/3.34 | (302) h1(e12) = all_0_141_141
% 12.81/3.34 | (303) ~ (e23 = e12)
% 12.81/3.34 | (304) op2(all_0_141_141, all_0_141_141) = all_0_79_79
% 12.81/3.34 | (305) all_0_131_131 = e23 | all_0_131_131 = e21
% 12.81/3.34 | (306) h2(e11) = e21
% 12.81/3.34 | (307) ~ (all_0_141_141 = e23)
% 12.81/3.34 | (308) op2(e23, all_0_98_98) = all_0_19_19
% 12.81/3.34 | (309) ~ (all_0_149_149 = e12)
% 12.81/3.34 | (310) ~ (e23 = e10)
% 12.81/3.34 | (311) h3(all_0_148_148) = all_0_42_42
% 12.81/3.34 | (312) ~ (all_0_149_149 = e13)
% 12.81/3.34 | (313) op2(e21, e20) = e23
% 12.81/3.34 | (314) op2(all_0_102_102, e20) = all_0_93_93
% 12.81/3.34 | (315) all_0_136_136 = e21 | all_0_137_137 = e21
% 12.81/3.34 | (316) ~ (all_0_150_150 = all_0_152_152)
% 12.81/3.34 | (317) op2(all_0_102_102, all_0_101_101) = all_0_89_89
% 12.81/3.34 | (318) op2(all_0_98_98, all_0_98_98) = all_0_26_26
% 12.81/3.34 | (319) all_0_137_137 = e21 | all_0_137_137 = e20
% 12.81/3.34 | (320) ~ (e20 = e10)
% 12.81/3.34 | (321) op1(all_0_152_152, all_0_152_152) = all_0_123_123
% 12.81/3.34 | (322) op2(all_0_98_98, e23) = all_0_24_24
% 12.81/3.34 | (323) ~ (e21 = e20)
% 12.81/3.34 | (324) op2(all_0_99_99, all_0_100_100) = all_0_34_34
% 12.81/3.34 | (325) all_0_143_143 = e10 | all_0_150_150 = e10 | all_0_152_152 = e10
% 12.81/3.34 | (326) ~ (all_0_130_130 = all_0_131_131)
% 12.81/3.34 | (327) op1(e12, e13) = all_0_146_146
% 12.81/3.34 | (328) h2(all_0_149_149) = all_0_63_63
% 12.81/3.34 | (329) all_0_129_129 = e20 | all_0_130_130 = e20 | all_0_132_132 = e20
% 12.81/3.34 | (330) op2(all_0_140_140, all_0_140_140) = all_0_112_112
% 12.81/3.34 | (331) all_0_136_136 = e21 | all_0_136_136 = e20
% 12.81/3.34 | (332) ~ (all_0_130_130 = all_0_137_137)
% 12.81/3.34 | (333) h1(all_0_153_153) = all_0_94_94
% 12.81/3.34 | (334) h2(all_0_153_153) = all_0_67_67
% 12.81/3.34 | (335) ~ (all_0_132_132 = all_0_135_135)
% 12.81/3.34 | (336) all_0_143_143 = e11 | all_0_147_147 = e11 | all_0_150_150 = e11 | all_0_152_152 = e11
% 12.81/3.34 | (337) ~ (all_0_138_138 = all_0_141_141)
% 12.81/3.34 | (338) all_0_145_145 = e11 | all_0_148_148 = e11 | all_0_154_154 = e11
% 12.81/3.34 | (339) ~ (all_0_143_143 = all_0_152_152)
% 12.81/3.34 | (340) all_0_146_146 = e13 | all_0_147_147 = e13
% 12.81/3.34 | (341) all_0_147_147 = e13 | all_0_147_147 = e12 | all_0_147_147 = e11
% 12.81/3.34 | (342) op2(e23, e22) = all_0_130_130
% 12.81/3.34 | (343) h4(e10) = all_0_98_98
% 12.81/3.34 | (344) op1(e11, e12) = all_0_150_150
% 12.81/3.34 | (345) all_0_129_129 = e23 | all_0_130_130 = e23 | all_0_131_131 = e23
% 12.81/3.34 | (346) op2(all_0_99_99, all_0_134_134) = all_0_30_30
% 12.81/3.34 | (347) ~ (all_0_142_142 = all_0_146_146)
% 12.81/3.34 | (348) h4(all_0_146_146) = all_0_9_9
% 12.81/3.34 | (349) h3(e13) = all_0_99_99
% 12.81/3.34 | (350) op2(all_0_129_129, e23) = all_0_12_12
% 12.81/3.34 | (351) ~ (e13 = e11)
% 12.81/3.34 | (352) all_0_149_149 = e11 | all_0_150_150 = e11
% 12.81/3.34 | (353) op2(all_0_98_98, all_0_129_129) = all_0_22_22
% 12.81/3.34 | (354) op1(all_0_147_147, all_0_147_147) = all_0_121_121
% 12.81/3.34 | (355) all_0_129_129 = e21 | all_0_133_133 = e21 | all_0_136_136 = e21 | all_0_138_138 = e21
% 12.81/3.34 | (356) op1(all_0_146_146, all_0_146_146) = all_0_117_117
% 12.81/3.34 | (357) ~ (all_0_147_147 = all_0_148_148)
% 12.81/3.34 | (358) ~ (all_0_143_143 = all_0_147_147)
% 12.81/3.34 | (359) ~ (all_0_134_134 = all_0_135_135)
% 12.81/3.34 | (360) ~ (e23 = e22)
% 12.81/3.34 | (361) ~ (all_0_139_139 = all_0_140_140)
% 12.81/3.34 | (362) h3(all_0_143_143) = all_0_31_31
% 12.81/3.34 | (363) h4(all_0_150_150) = all_0_18_18
% 12.81/3.34 | (364) ~ (e20 = e11)
% 12.81/3.34 | (365) h2(all_0_150_150) = all_0_64_64
% 12.81/3.34 | (366) ~ (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_100_100) | ~ (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_99_99) | ~ (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_99_99 = e23) & ~ (all_0_100_100 = e23) & ~ (all_0_134_134 = e23)) | ( ~ (all_0_99_99 = e21) & ~ (all_0_100_100 = e21) & ~ (all_0_134_134 = e21)) | ( ~ (all_0_99_99 = e20) & ~ (all_0_100_100 = e20))
% 12.81/3.34 | (367) op1(all_0_142_142, all_0_142_142) = all_0_116_116
% 12.81/3.34 | (368) h1(all_0_146_146) = all_0_78_78
% 12.81/3.34 | (369) ~ (all_0_152_152 = all_0_154_154)
% 12.81/3.34 | (370) op1(all_0_145_145, all_0_145_145) = all_0_126_126
% 12.81/3.34 | (371) h2(all_0_151_151) = all_0_65_65
% 12.81/3.34 | (372) h4(all_0_143_143) = all_0_3_3
% 12.81/3.34 | (373) h4(all_0_145_145) = all_0_7_7
% 12.81/3.34 | (374) op1(all_0_154_154, all_0_154_154) = all_0_128_128
% 12.81/3.34 | (375) h1(all_0_142_142) = all_0_70_70
% 12.81/3.34 | (376) h4(all_0_149_149) = all_0_16_16
% 12.81/3.34 | (377) all_0_133_133 = e23 | all_0_133_133 = e22 | all_0_133_133 = e21
% 12.81/3.34 | (378) op1(all_0_149_149, all_0_149_149) = all_0_118_118
% 12.81/3.34 | (379) ~ (all_0_146_146 = all_0_147_147)
% 12.81/3.35 | (380) op1(e12, e10) = all_0_148_148
% 12.81/3.35 | (381) op1(e12, e11) = e10
% 12.81/3.35 | (382) all_0_138_138 = e23 | all_0_138_138 = e22 | all_0_138_138 = e21 | all_0_138_138 = e20
% 12.81/3.35 | (383) all_0_138_138 = e21 | all_0_139_139 = e21 | all_0_140_140 = e21 | all_0_141_141 = e21
% 12.81/3.35 | (384) op2(all_0_131_131, all_0_131_131) = all_0_111_111
% 12.81/3.35 | (385) op2(all_0_129_129, all_0_129_129) = all_0_10_10
% 12.81/3.35 | (386) all_0_142_142 = e11 | all_0_143_143 = e11 | all_0_144_144 = e11 | all_0_145_145 = e11
% 12.81/3.35 | (387) op2(all_0_97_97, e23) = all_0_4_4
% 12.81/3.35 | (388) ~ (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_98_98) | ~ (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_97_97) | ~ (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_97_97 = e22) & ~ (all_0_98_98 = e22) & ~ (all_0_129_129 = e22)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e21) & ~ (all_0_129_129 = e21)) | ( ~ (all_0_97_97 = e20) & ~ (all_0_98_98 = e20) & ~ (all_0_129_129 = e20))
% 12.81/3.35 |
% 12.81/3.35 | Instantiating formula (236) with all_0_129_129, all_0_129_129, all_0_103_103, all_0_10_10 and discharging atoms op2(all_0_129_129, all_0_129_129) = all_0_10_10, op2(all_0_129_129, all_0_129_129) = all_0_103_103, yields:
% 12.81/3.35 | (389) all_0_10_10 = all_0_103_103
% 12.81/3.35 |
% 12.81/3.35 | Instantiating formula (236) with all_0_129_129, e23, all_0_98_98, all_0_12_12 and discharging atoms op2(all_0_129_129, e23) = all_0_12_12, op2(all_0_129_129, e23) = all_0_98_98, yields:
% 12.81/3.35 | (390) all_0_12_12 = all_0_98_98
% 12.81/3.35 |
% 12.81/3.35 | Instantiating formula (236) with all_0_141_141, all_0_141_141, all_0_115_115, all_0_79_79 and discharging atoms op2(all_0_141_141, all_0_141_141) = all_0_79_79, op2(all_0_141_141, all_0_141_141) = all_0_115_115, yields:
% 12.81/3.35 | (391) all_0_79_79 = all_0_115_115
% 12.81/3.35 |
% 12.81/3.35 | Instantiating formula (236) with e23, all_0_98_98, all_0_97_97, all_0_19_19 and discharging atoms op2(e23, all_0_98_98) = all_0_19_19, op2(e23, all_0_98_98) = all_0_97_97, yields:
% 12.81/3.35 | (392) all_0_19_19 = all_0_97_97
% 12.81/3.35 |
% 12.81/3.35 | From (389) and (385) follows:
% 12.81/3.35 | (242) op2(all_0_129_129, all_0_129_129) = all_0_103_103
% 12.81/3.35 |
% 12.81/3.35 | From (390) and (350) follows:
% 12.81/3.35 | (48) op2(all_0_129_129, e23) = all_0_98_98
% 12.81/3.35 |
% 12.81/3.35 | From (391) and (304) follows:
% 12.81/3.35 | (178) op2(all_0_141_141, all_0_141_141) = all_0_115_115
% 12.81/3.35 |
% 12.81/3.35 | From (392) and (308) follows:
% 12.81/3.35 | (125) op2(e23, all_0_98_98) = all_0_97_97
% 12.81/3.35 |
% 12.81/3.35 +-Applying beta-rule and splitting (319), into two cases.
% 12.81/3.35 |-Branch one:
% 12.81/3.35 | (397) all_0_137_137 = e21
% 12.81/3.35 |
% 12.81/3.35 | Equations (397) can reduce 259 to:
% 12.81/3.35 | (398) ~ (all_0_134_134 = e21)
% 12.81/3.35 |
% 12.81/3.35 | Equations (397) can reduce 78 to:
% 12.81/3.35 | (399) ~ (all_0_136_136 = e21)
% 12.81/3.35 |
% 12.81/3.35 | Equations (397) can reduce 63 to:
% 12.81/3.35 | (400) ~ (e23 = e21)
% 12.81/3.35 |
% 12.81/3.35 | Simplifying 400 yields:
% 12.81/3.35 | (169) ~ (e23 = e21)
% 12.81/3.35 |
% 12.81/3.35 | From (397)(397) and (295) follows:
% 12.81/3.35 | (402) op2(e21, e21) = all_0_109_109
% 12.81/3.35 |
% 12.81/3.35 +-Applying beta-rule and splitting (331), into two cases.
% 12.81/3.35 |-Branch one:
% 12.81/3.35 | (403) all_0_136_136 = e21
% 12.81/3.35 |
% 12.81/3.35 | Equations (403) can reduce 399 to:
% 12.81/3.35 | (404) $false
% 12.81/3.35 |
% 12.81/3.35 |-The branch is then unsatisfiable
% 12.81/3.35 |-Branch two:
% 12.81/3.35 | (399) ~ (all_0_136_136 = e21)
% 12.81/3.35 | (406) all_0_136_136 = e20
% 12.81/3.35 |
% 12.81/3.35 | Equations (406) can reduce 206 to:
% 12.81/3.35 | (187) ~ (all_0_133_133 = e20)
% 12.81/3.35 |
% 12.81/3.35 | Equations (406) can reduce 215 to:
% 12.81/3.35 | (408) ~ (all_0_138_138 = e20)
% 12.81/3.35 |
% 12.81/3.35 | Simplifying 408 yields:
% 12.81/3.35 | (409) ~ (all_0_138_138 = e20)
% 12.81/3.35 |
% 12.81/3.35 | From (406)(406) and (301) follows:
% 12.81/3.35 | (410) op2(e20, e20) = all_0_105_105
% 12.81/3.35 |
% 12.81/3.35 | From (406) and (86) follows:
% 12.81/3.35 | (411) op2(e21, e23) = e20
% 12.81/3.35 |
% 12.81/3.35 | Instantiating formula (236) with e21, e21, all_0_109_109, e22 and discharging atoms op2(e21, e21) = all_0_109_109, op2(e21, e21) = e22, yields:
% 12.81/3.35 | (412) all_0_109_109 = e22
% 12.81/3.35 |
% 12.81/3.35 | Instantiating formula (236) with e20, e20, all_0_105_105, all_0_141_141 and discharging atoms op2(e20, e20) = all_0_105_105, op2(e20, e20) = all_0_141_141, yields:
% 12.81/3.35 | (413) all_0_105_105 = all_0_141_141
% 12.81/3.35 |
% 12.81/3.35 | From (413) and (410) follows:
% 12.81/3.35 | (286) op2(e20, e20) = all_0_141_141
% 12.81/3.35 |
% 12.81/3.35 +-Applying beta-rule and splitting (269), into two cases.
% 12.81/3.35 |-Branch one:
% 12.81/3.35 | (415) all_0_140_140 = e21
% 12.81/3.35 |
% 12.81/3.35 | Equations (415) can reduce 361 to:
% 12.81/3.35 | (416) ~ (all_0_139_139 = e21)
% 12.81/3.35 |
% 12.81/3.35 | Equations (415) can reduce 181 to:
% 12.81/3.35 | (417) ~ (all_0_141_141 = e21)
% 12.81/3.35 |
% 12.81/3.35 | Simplifying 417 yields:
% 12.81/3.35 | (418) ~ (all_0_141_141 = e21)
% 12.81/3.35 |
% 12.81/3.35 | Equations (415) can reduce 225 to:
% 12.81/3.35 | (419) ~ (e22 = e21)
% 12.81/3.35 |
% 12.81/3.35 | Simplifying 419 yields:
% 12.81/3.35 | (80) ~ (e22 = e21)
% 12.81/3.35 |
% 12.81/3.35 +-Applying beta-rule and splitting (85), into two cases.
% 12.81/3.35 |-Branch one:
% 12.81/3.35 | (421) all_0_131_131 = e23
% 12.81/3.35 |
% 12.81/3.35 | Equations (421) can reduce 326 to:
% 12.81/3.35 | (422) ~ (all_0_130_130 = e23)
% 12.81/3.35 |
% 12.81/3.35 +-Applying beta-rule and splitting (84), into two cases.
% 12.81/3.35 |-Branch one:
% 12.81/3.35 | (423) (all_0_103_103 = e23 & all_0_104_104 = e22 & all_0_105_105 = e21 & all_0_106_106 = e20) | (all_0_107_107 = e23 & all_0_108_108 = e22 & all_0_109_109 = e21 & all_0_110_110 = e20) | (all_0_111_111 = e23 & all_0_112_112 = e20 & all_0_134_134 = e21 & all_0_141_141 = e22)
% 12.81/3.35 |
% 12.81/3.35 +-Applying beta-rule and splitting (423), into two cases.
% 12.81/3.35 |-Branch one:
% 12.81/3.35 | (424) (all_0_103_103 = e23 & all_0_104_104 = e22 & all_0_105_105 = e21 & all_0_106_106 = e20) | (all_0_107_107 = e23 & all_0_108_108 = e22 & all_0_109_109 = e21 & all_0_110_110 = e20)
% 12.81/3.35 |
% 12.81/3.35 +-Applying beta-rule and splitting (424), into two cases.
% 12.81/3.35 |-Branch one:
% 12.81/3.35 | (425) all_0_103_103 = e23 & all_0_104_104 = e22 & all_0_105_105 = e21 & all_0_106_106 = e20
% 12.81/3.35 |
% 12.81/3.35 | Applying alpha-rule on (425) yields:
% 12.81/3.35 | (426) all_0_103_103 = e23
% 12.81/3.35 | (427) all_0_104_104 = e22
% 12.81/3.35 | (428) all_0_105_105 = e21
% 12.81/3.35 | (429) all_0_106_106 = e20
% 12.81/3.35 |
% 12.81/3.35 | Combining equations (428,413) yields a new equation:
% 12.81/3.35 | (430) all_0_141_141 = e21
% 12.81/3.35 |
% 12.81/3.35 | Equations (430) can reduce 418 to:
% 12.81/3.35 | (404) $false
% 12.81/3.35 |
% 12.81/3.35 |-The branch is then unsatisfiable
% 12.81/3.35 |-Branch two:
% 12.81/3.35 | (432) all_0_107_107 = e23 & all_0_108_108 = e22 & all_0_109_109 = e21 & all_0_110_110 = e20
% 12.81/3.36 |
% 12.81/3.36 | Applying alpha-rule on (432) yields:
% 12.81/3.36 | (433) all_0_107_107 = e23
% 12.81/3.36 | (434) all_0_108_108 = e22
% 12.81/3.36 | (435) all_0_109_109 = e21
% 12.81/3.36 | (436) all_0_110_110 = e20
% 12.81/3.36 |
% 12.81/3.36 | Combining equations (435,412) yields a new equation:
% 12.81/3.36 | (437) e22 = e21
% 12.81/3.36 |
% 12.81/3.36 | Equations (437) can reduce 80 to:
% 12.81/3.36 | (404) $false
% 12.81/3.36 |
% 12.81/3.36 |-The branch is then unsatisfiable
% 12.81/3.36 |-Branch two:
% 12.81/3.36 | (439) all_0_111_111 = e23 & all_0_112_112 = e20 & all_0_134_134 = e21 & all_0_141_141 = e22
% 12.81/3.36 |
% 12.81/3.36 | Applying alpha-rule on (439) yields:
% 12.81/3.36 | (440) all_0_111_111 = e23
% 12.81/3.36 | (441) all_0_112_112 = e20
% 12.81/3.36 | (442) all_0_134_134 = e21
% 12.81/3.36 | (443) all_0_141_141 = e22
% 12.81/3.36 |
% 12.81/3.36 | Equations (442) can reduce 398 to:
% 12.81/3.36 | (404) $false
% 12.81/3.36 |
% 12.81/3.36 |-The branch is then unsatisfiable
% 12.81/3.36 |-Branch two:
% 12.81/3.36 | (445) all_0_113_113 = e23 & all_0_114_114 = e22 & all_0_115_115 = e20 & all_0_129_129 = e21
% 12.81/3.36 |
% 12.81/3.36 | Applying alpha-rule on (445) yields:
% 12.81/3.36 | (446) all_0_113_113 = e23
% 12.81/3.36 | (447) all_0_114_114 = e22
% 12.81/3.36 | (448) all_0_115_115 = e20
% 12.81/3.36 | (449) all_0_129_129 = e21
% 12.81/3.36 |
% 12.81/3.36 | Equations (449) can reduce 234 to:
% 12.81/3.36 | (450) ~ (all_0_130_130 = e21)
% 12.81/3.36 |
% 12.81/3.36 | Simplifying 450 yields:
% 12.81/3.36 | (451) ~ (all_0_130_130 = e21)
% 12.81/3.36 |
% 12.81/3.36 | Equations (449) can reduce 67 to:
% 12.81/3.36 | (452) ~ (all_0_132_132 = e21)
% 12.81/3.36 |
% 12.81/3.36 | Simplifying 452 yields:
% 12.81/3.36 | (453) ~ (all_0_132_132 = e21)
% 12.81/3.36 |
% 12.81/3.36 | Equations (449) can reduce 224 to:
% 12.81/3.36 | (454) ~ (all_0_138_138 = e21)
% 12.81/3.36 |
% 12.81/3.36 | Simplifying 454 yields:
% 12.81/3.36 | (455) ~ (all_0_138_138 = e21)
% 12.81/3.36 |
% 12.81/3.36 | From (449) and (48) follows:
% 12.81/3.36 | (456) op2(e21, e23) = all_0_98_98
% 12.81/3.36 |
% 12.81/3.36 | From (446) and (143) follows:
% 12.81/3.36 | (457) op2(all_0_132_132, all_0_132_132) = e23
% 12.81/3.36 |
% 12.81/3.36 | From (448) and (178) follows:
% 12.81/3.36 | (458) op2(all_0_141_141, all_0_141_141) = e20
% 12.81/3.36 |
% 12.81/3.36 +-Applying beta-rule and splitting (194), into two cases.
% 12.81/3.36 |-Branch one:
% 12.81/3.36 | (459) all_0_132_132 = e21
% 12.81/3.36 |
% 12.81/3.36 | Equations (459) can reduce 453 to:
% 12.81/3.36 | (404) $false
% 12.81/3.36 |
% 12.81/3.36 |-The branch is then unsatisfiable
% 12.81/3.36 |-Branch two:
% 12.81/3.36 | (453) ~ (all_0_132_132 = e21)
% 12.81/3.36 | (462) all_0_135_135 = e21 | all_0_141_141 = e21
% 12.81/3.36 |
% 12.81/3.36 +-Applying beta-rule and splitting (462), into two cases.
% 12.81/3.36 |-Branch one:
% 12.81/3.36 | (463) all_0_135_135 = e21
% 12.81/3.36 |
% 12.81/3.36 | Equations (463) can reduce 335 to:
% 12.81/3.36 | (453) ~ (all_0_132_132 = e21)
% 12.81/3.36 |
% 12.81/3.36 | Equations (463) can reduce 251 to:
% 12.81/3.36 | (465) ~ (all_0_133_133 = e21)
% 12.81/3.36 |
% 12.81/3.36 | Equations (463) can reduce 359 to:
% 12.81/3.36 | (398) ~ (all_0_134_134 = e21)
% 12.81/3.36 |
% 12.81/3.36 | Equations (463) can reduce 163 to:
% 12.81/3.36 | (417) ~ (all_0_141_141 = e21)
% 12.81/3.36 |
% 12.81/3.36 | Simplifying 417 yields:
% 12.81/3.36 | (418) ~ (all_0_141_141 = e21)
% 12.81/3.36 |
% 12.81/3.36 | Instantiating formula (236) with e21, e23, all_0_98_98, e20 and discharging atoms op2(e21, e23) = all_0_98_98, op2(e21, e23) = e20, yields:
% 12.81/3.36 | (469) all_0_98_98 = e20
% 12.81/3.36 |
% 12.81/3.36 | From (469) and (270) follows:
% 12.81/3.36 | (470) op2(all_0_97_97, e20) = all_0_6_6
% 12.81/3.36 |
% 12.81/3.36 | From (469) and (172) follows:
% 12.81/3.36 | (471) op2(e20, all_0_97_97) = all_0_20_20
% 12.81/3.36 |
% 12.81/3.36 | From (469)(469) and (318) follows:
% 12.81/3.36 | (472) op2(e20, e20) = all_0_26_26
% 12.81/3.36 |
% 12.81/3.36 | From (469) and (125) follows:
% 12.81/3.36 | (473) op2(e23, e20) = all_0_97_97
% 12.81/3.36 |
% 12.81/3.36 | Instantiating formula (236) with e23, e20, all_0_97_97, all_0_132_132 and discharging atoms op2(e23, e20) = all_0_97_97, op2(e23, e20) = all_0_132_132, yields:
% 12.81/3.36 | (474) all_0_97_97 = all_0_132_132
% 12.81/3.36 |
% 12.81/3.36 | Instantiating formula (236) with e20, e20, all_0_26_26, all_0_141_141 and discharging atoms op2(e20, e20) = all_0_26_26, op2(e20, e20) = all_0_141_141, yields:
% 12.81/3.36 | (475) all_0_26_26 = all_0_141_141
% 12.81/3.36 |
% 12.81/3.36 | From (474)(474) and (77) follows:
% 12.81/3.36 | (476) op2(all_0_132_132, all_0_132_132) = all_0_0_0
% 12.81/3.36 |
% 12.81/3.36 | From (474) and (470) follows:
% 12.81/3.36 | (477) op2(all_0_132_132, e20) = all_0_6_6
% 12.81/3.36 |
% 12.81/3.36 | From (474) and (471) follows:
% 12.81/3.36 | (478) op2(e20, all_0_132_132) = all_0_20_20
% 12.81/3.36 |
% 12.81/3.36 | From (475) and (472) follows:
% 12.81/3.36 | (286) op2(e20, e20) = all_0_141_141
% 12.81/3.36 |
% 12.81/3.36 | Instantiating formula (236) with all_0_132_132, all_0_132_132, all_0_0_0, e23 and discharging atoms op2(all_0_132_132, all_0_132_132) = all_0_0_0, op2(all_0_132_132, all_0_132_132) = e23, yields:
% 12.81/3.36 | (480) all_0_0_0 = e23
% 12.81/3.36 |
% 12.81/3.36 | From (480) and (476) follows:
% 12.81/3.36 | (457) op2(all_0_132_132, all_0_132_132) = e23
% 12.81/3.36 |
% 12.81/3.36 +-Applying beta-rule and splitting (95), into two cases.
% 12.81/3.36 |-Branch one:
% 12.81/3.36 | (482) all_0_144_144 = e11
% 12.81/3.36 |
% 12.81/3.36 | Equations (482) can reduce 27 to:
% 12.81/3.36 | (483) ~ (all_0_142_142 = e11)
% 12.81/3.36 |
% 12.81/3.36 | Equations (482) can reduce 276 to:
% 12.81/3.36 | (484) ~ (all_0_143_143 = e11)
% 12.81/3.36 |
% 12.81/3.36 | Equations (482) can reduce 212 to:
% 12.81/3.36 | (485) ~ (all_0_145_145 = e11)
% 12.81/3.36 |
% 12.81/3.36 | Simplifying 485 yields:
% 12.81/3.36 | (486) ~ (all_0_145_145 = e11)
% 12.81/3.36 |
% 12.81/3.36 | Equations (482) can reduce 100 to:
% 12.81/3.36 | (487) ~ (all_0_153_153 = e11)
% 12.81/3.36 |
% 12.81/3.36 | Simplifying 487 yields:
% 12.81/3.36 | (488) ~ (all_0_153_153 = e11)
% 12.81/3.36 |
% 12.81/3.36 | From (482)(482) and (227) follows:
% 12.81/3.36 | (489) op1(e11, e11) = all_0_124_124
% 12.81/3.36 |
% 12.81/3.36 +-Applying beta-rule and splitting (165), into two cases.
% 12.81/3.36 |-Branch one:
% 12.81/3.36 | (490) all_0_153_153 = e11
% 12.81/3.36 |
% 12.81/3.36 | Equations (490) can reduce 488 to:
% 12.81/3.36 | (404) $false
% 12.81/3.36 |
% 12.81/3.36 |-The branch is then unsatisfiable
% 12.81/3.36 |-Branch two:
% 12.81/3.36 | (488) ~ (all_0_153_153 = e11)
% 12.81/3.36 | (493) all_0_153_153 = e13
% 12.81/3.36 |
% 12.81/3.36 | Equations (493) can reduce 289 to:
% 12.81/3.36 | (494) ~ (all_0_152_152 = e13)
% 12.81/3.36 |
% 12.81/3.36 | Equations (493) can reduce 30 to:
% 12.81/3.36 | (495) ~ (all_0_154_154 = e13)
% 12.81/3.36 |
% 12.81/3.36 | Simplifying 495 yields:
% 12.81/3.36 | (65) ~ (all_0_154_154 = e13)
% 12.81/3.36 |
% 12.81/3.36 | Equations (493) can reduce 246 to:
% 12.81/3.36 | (247) ~ (e13 = e12)
% 12.81/3.36 |
% 12.81/3.36 | From (493)(493) and (107) follows:
% 12.81/3.36 | (498) op1(e13, e13) = all_0_125_125
% 12.81/3.36 |
% 12.81/3.36 | Instantiating formula (133) with e13, e13, all_0_125_125, all_0_142_142 and discharging atoms op1(e13, e13) = all_0_125_125, op1(e13, e13) = all_0_142_142, yields:
% 12.81/3.36 | (499) all_0_125_125 = all_0_142_142
% 12.81/3.36 |
% 12.81/3.36 | Instantiating formula (133) with e11, e11, all_0_124_124, e12 and discharging atoms op1(e11, e11) = all_0_124_124, op1(e11, e11) = e12, yields:
% 12.81/3.36 | (500) all_0_124_124 = e12
% 12.81/3.36 |
% 12.81/3.36 | From (500) and (489) follows:
% 12.81/3.36 | (112) op1(e11, e11) = e12
% 12.81/3.36 |
% 12.81/3.36 +-Applying beta-rule and splitting (20), into two cases.
% 12.81/3.36 |-Branch one:
% 12.81/3.36 | (502) all_0_148_148 = e11
% 12.81/3.36 |
% 12.81/3.36 | Equations (502) can reduce 29 to:
% 12.81/3.36 | (503) ~ (all_0_146_146 = e11)
% 12.81/3.36 |
% 12.81/3.36 | Equations (502) can reduce 357 to:
% 12.81/3.36 | (504) ~ (all_0_147_147 = e11)
% 12.81/3.36 |
% 12.81/3.36 | Equations (502) can reduce 184 to:
% 12.81/3.36 | (238) ~ (e11 = e10)
% 12.81/3.36 |
% 12.81/3.36 | From (502)(502) and (60) follows:
% 12.81/3.36 | (506) op1(e11, e11) = all_0_127_127
% 12.81/3.36 |
% 12.81/3.36 | Instantiating formula (133) with e11, e11, all_0_127_127, e12 and discharging atoms op1(e11, e11) = all_0_127_127, op1(e11, e11) = e12, yields:
% 12.81/3.36 | (507) all_0_127_127 = e12
% 12.81/3.36 |
% 12.81/3.36 | From (507) and (506) follows:
% 12.81/3.36 | (112) op1(e11, e11) = e12
% 12.81/3.36 |
% 12.81/3.36 +-Applying beta-rule and splitting (352), into two cases.
% 12.81/3.36 |-Branch one:
% 12.81/3.36 | (509) all_0_149_149 = e11
% 12.81/3.36 |
% 12.81/3.36 | Equations (509) can reduce 8 to:
% 12.81/3.36 | (483) ~ (all_0_142_142 = e11)
% 12.81/3.36 |
% 12.81/3.36 | Equations (509) can reduce 62 to:
% 12.81/3.36 | (511) ~ (all_0_150_150 = e11)
% 12.81/3.36 |
% 12.81/3.36 | Simplifying 511 yields:
% 12.81/3.37 | (512) ~ (all_0_150_150 = e11)
% 12.81/3.37 |
% 12.81/3.37 | Equations (509) can reduce 309 to:
% 12.81/3.37 | (513) ~ (e12 = e11)
% 12.81/3.37 |
% 12.81/3.37 | Simplifying 513 yields:
% 12.81/3.37 | (91) ~ (e12 = e11)
% 12.81/3.37 |
% 12.81/3.37 | From (509)(509) and (378) follows:
% 12.81/3.37 | (515) op1(e11, e11) = all_0_118_118
% 12.81/3.37 |
% 12.81/3.37 +-Applying beta-rule and splitting (254), into two cases.
% 12.81/3.37 |-Branch one:
% 12.81/3.37 | (516) all_0_149_149 = e10
% 12.81/3.37 |
% 12.81/3.37 | Combining equations (509,516) yields a new equation:
% 12.81/3.37 | (517) e11 = e10
% 12.81/3.37 |
% 12.81/3.37 | Simplifying 517 yields:
% 12.81/3.37 | (518) e11 = e10
% 12.81/3.37 |
% 12.81/3.37 | Equations (518) can reduce 238 to:
% 12.81/3.37 | (404) $false
% 12.81/3.37 |
% 12.81/3.37 |-The branch is then unsatisfiable
% 12.81/3.37 |-Branch two:
% 12.81/3.37 | (520) ~ (all_0_149_149 = e10)
% 12.81/3.37 | (521) all_0_150_150 = e10
% 12.81/3.37 |
% 12.81/3.37 | Equations (521) can reduce 22 to:
% 12.81/3.37 | (522) ~ (e12 = e10)
% 12.81/3.37 |
% 12.81/3.37 | Simplifying 522 yields:
% 12.81/3.37 | (5) ~ (e12 = e10)
% 12.81/3.37 |
% 12.81/3.37 | Equations (521) can reduce 512 to:
% 12.81/3.37 | (524) ~ (e11 = e10)
% 12.81/3.37 |
% 12.81/3.37 | Simplifying 524 yields:
% 12.81/3.37 | (238) ~ (e11 = e10)
% 12.81/3.37 |
% 12.81/3.37 +-Applying beta-rule and splitting (336), into two cases.
% 12.81/3.37 |-Branch one:
% 12.81/3.37 | (526) all_0_143_143 = e11
% 12.81/3.37 |
% 12.81/3.37 | Equations (526) can reduce 484 to:
% 12.81/3.37 | (404) $false
% 12.81/3.37 |
% 12.81/3.37 |-The branch is then unsatisfiable
% 12.81/3.37 |-Branch two:
% 12.81/3.37 | (484) ~ (all_0_143_143 = e11)
% 12.81/3.37 | (529) all_0_147_147 = e11 | all_0_150_150 = e11 | all_0_152_152 = e11
% 12.81/3.37 |
% 12.81/3.37 +-Applying beta-rule and splitting (529), into two cases.
% 12.81/3.37 |-Branch one:
% 12.81/3.37 | (530) all_0_147_147 = e11
% 12.81/3.37 |
% 12.81/3.37 | Equations (530) can reduce 504 to:
% 12.81/3.37 | (404) $false
% 12.81/3.37 |
% 12.81/3.37 |-The branch is then unsatisfiable
% 12.81/3.37 |-Branch two:
% 12.81/3.37 | (504) ~ (all_0_147_147 = e11)
% 12.81/3.37 | (533) all_0_150_150 = e11 | all_0_152_152 = e11
% 12.81/3.37 |
% 12.81/3.37 +-Applying beta-rule and splitting (533), into two cases.
% 12.81/3.37 |-Branch one:
% 12.81/3.37 | (534) all_0_150_150 = e11
% 12.81/3.37 |
% 12.81/3.37 | Combining equations (534,521) yields a new equation:
% 12.81/3.37 | (517) e11 = e10
% 12.81/3.37 |
% 12.81/3.37 | Simplifying 517 yields:
% 12.81/3.37 | (518) e11 = e10
% 12.81/3.37 |
% 12.81/3.37 | Equations (518) can reduce 238 to:
% 12.81/3.37 | (404) $false
% 12.81/3.37 |
% 12.81/3.37 |-The branch is then unsatisfiable
% 12.81/3.37 |-Branch two:
% 12.81/3.37 | (512) ~ (all_0_150_150 = e11)
% 12.81/3.37 | (539) all_0_152_152 = e11
% 12.81/3.37 |
% 12.81/3.37 | From (539)(539) and (321) follows:
% 12.81/3.37 | (540) op1(e11, e11) = all_0_123_123
% 12.81/3.37 |
% 12.81/3.37 | Instantiating formula (133) with e11, e11, all_0_118_118, e12 and discharging atoms op1(e11, e11) = all_0_118_118, op1(e11, e11) = e12, yields:
% 12.81/3.37 | (541) all_0_118_118 = e12
% 12.81/3.37 |
% 12.81/3.37 | Instantiating formula (133) with e11, e11, all_0_123_123, all_0_118_118 and discharging atoms op1(e11, e11) = all_0_118_118, op1(e11, e11) = all_0_123_123, yields:
% 12.81/3.37 | (542) all_0_118_118 = all_0_123_123
% 12.81/3.37 |
% 12.81/3.37 | Combining equations (542,541) yields a new equation:
% 12.81/3.37 | (543) all_0_123_123 = e12
% 12.81/3.37 |
% 12.81/3.37 | Simplifying 543 yields:
% 12.81/3.37 | (544) all_0_123_123 = e12
% 12.81/3.37 |
% 12.81/3.37 +-Applying beta-rule and splitting (103), into two cases.
% 12.81/3.37 |-Branch one:
% 12.81/3.37 | (545) (all_0_116_116 = e13 & all_0_117_117 = e12 & all_0_118_118 = e11 & all_0_119_119 = e10) | (all_0_120_120 = e13 & all_0_121_121 = e12 & all_0_122_122 = e11 & all_0_123_123 = e10) | (all_0_124_124 = e13 & all_0_125_125 = e10 & all_0_147_147 = e11 & all_0_154_154 = e12)
% 12.81/3.37 |
% 12.81/3.37 +-Applying beta-rule and splitting (545), into two cases.
% 12.81/3.37 |-Branch one:
% 12.81/3.37 | (546) (all_0_116_116 = e13 & all_0_117_117 = e12 & all_0_118_118 = e11 & all_0_119_119 = e10) | (all_0_120_120 = e13 & all_0_121_121 = e12 & all_0_122_122 = e11 & all_0_123_123 = e10)
% 12.81/3.37 |
% 12.81/3.37 +-Applying beta-rule and splitting (546), into two cases.
% 12.81/3.37 |-Branch one:
% 12.81/3.37 | (547) all_0_116_116 = e13 & all_0_117_117 = e12 & all_0_118_118 = e11 & all_0_119_119 = e10
% 12.81/3.37 |
% 12.81/3.37 | Applying alpha-rule on (547) yields:
% 12.81/3.37 | (548) all_0_116_116 = e13
% 12.81/3.37 | (549) all_0_117_117 = e12
% 12.81/3.37 | (550) all_0_118_118 = e11
% 12.81/3.37 | (551) all_0_119_119 = e10
% 12.81/3.37 |
% 12.81/3.37 | Combining equations (550,541) yields a new equation:
% 12.81/3.37 | (552) e12 = e11
% 12.81/3.37 |
% 12.81/3.37 | Equations (552) can reduce 91 to:
% 12.81/3.37 | (404) $false
% 12.81/3.37 |
% 12.81/3.37 |-The branch is then unsatisfiable
% 12.81/3.37 |-Branch two:
% 12.81/3.37 | (554) all_0_120_120 = e13 & all_0_121_121 = e12 & all_0_122_122 = e11 & all_0_123_123 = e10
% 12.81/3.37 |
% 12.81/3.37 | Applying alpha-rule on (554) yields:
% 12.81/3.37 | (555) all_0_120_120 = e13
% 12.81/3.37 | (556) all_0_121_121 = e12
% 12.81/3.37 | (557) all_0_122_122 = e11
% 12.81/3.37 | (558) all_0_123_123 = e10
% 12.81/3.37 |
% 12.81/3.37 | Combining equations (544,558) yields a new equation:
% 12.81/3.37 | (559) e12 = e10
% 12.81/3.37 |
% 12.81/3.37 | Simplifying 559 yields:
% 12.81/3.37 | (560) e12 = e10
% 12.81/3.37 |
% 12.81/3.37 | Equations (560) can reduce 5 to:
% 12.81/3.37 | (404) $false
% 12.81/3.37 |
% 12.81/3.37 |-The branch is then unsatisfiable
% 12.81/3.37 |-Branch two:
% 12.81/3.37 | (562) all_0_124_124 = e13 & all_0_125_125 = e10 & all_0_147_147 = e11 & all_0_154_154 = e12
% 12.81/3.37 |
% 12.81/3.37 | Applying alpha-rule on (562) yields:
% 12.81/3.37 | (563) all_0_124_124 = e13
% 12.81/3.37 | (564) all_0_125_125 = e10
% 12.81/3.37 | (530) all_0_147_147 = e11
% 12.81/3.37 | (566) all_0_154_154 = e12
% 12.81/3.37 |
% 12.81/3.37 | Combining equations (563,500) yields a new equation:
% 12.81/3.37 | (567) e13 = e12
% 12.81/3.37 |
% 12.81/3.37 | Simplifying 567 yields:
% 12.81/3.37 | (568) e13 = e12
% 12.81/3.37 |
% 12.81/3.37 | Equations (568) can reduce 247 to:
% 12.81/3.37 | (404) $false
% 12.81/3.37 |
% 12.81/3.37 |-The branch is then unsatisfiable
% 12.81/3.37 |-Branch two:
% 12.81/3.37 | (570) all_0_126_126 = e13 & all_0_127_127 = e12 & all_0_128_128 = e10 & all_0_142_142 = e11
% 12.81/3.37 |
% 12.81/3.37 | Applying alpha-rule on (570) yields:
% 12.81/3.37 | (571) all_0_126_126 = e13
% 12.81/3.37 | (507) all_0_127_127 = e12
% 12.81/3.37 | (573) all_0_128_128 = e10
% 12.81/3.37 | (574) all_0_142_142 = e11
% 12.81/3.37 |
% 12.81/3.37 | Equations (574) can reduce 483 to:
% 12.81/3.37 | (404) $false
% 12.81/3.37 |
% 12.81/3.37 |-The branch is then unsatisfiable
% 12.81/3.37 |-Branch two:
% 12.81/3.37 | (576) ~ (all_0_149_149 = e11)
% 12.81/3.37 | (534) all_0_150_150 = e11
% 12.81/3.37 |
% 12.81/3.37 | Equations (534) can reduce 62 to:
% 12.81/3.37 | (576) ~ (all_0_149_149 = e11)
% 12.81/3.37 |
% 12.81/3.37 | Equations (534) can reduce 22 to:
% 12.81/3.37 | (513) ~ (e12 = e11)
% 12.81/3.37 |
% 12.81/3.37 | Simplifying 513 yields:
% 12.81/3.37 | (91) ~ (e12 = e11)
% 12.81/3.37 |
% 12.81/3.37 | From (534)(534) and (185) follows:
% 12.81/3.37 | (581) op1(e11, e11) = all_0_122_122
% 12.81/3.37 |
% 12.81/3.37 +-Applying beta-rule and splitting (254), into two cases.
% 12.81/3.37 |-Branch one:
% 12.81/3.37 | (516) all_0_149_149 = e10
% 12.81/3.37 |
% 12.81/3.37 | Equations (516) can reduce 309 to:
% 12.81/3.37 | (522) ~ (e12 = e10)
% 12.81/3.37 |
% 12.81/3.37 | Simplifying 522 yields:
% 12.81/3.37 | (5) ~ (e12 = e10)
% 12.81/3.37 |
% 12.81/3.37 | Equations (516) can reduce 576 to:
% 12.81/3.37 | (524) ~ (e11 = e10)
% 12.81/3.37 |
% 12.81/3.37 | Simplifying 524 yields:
% 12.81/3.37 | (238) ~ (e11 = e10)
% 12.81/3.37 |
% 12.81/3.37 +-Applying beta-rule and splitting (280), into two cases.
% 12.81/3.37 |-Branch one:
% 12.81/3.37 | (574) all_0_142_142 = e11
% 12.81/3.37 |
% 12.81/3.37 | Equations (574) can reduce 483 to:
% 12.81/3.37 | (404) $false
% 12.81/3.37 |
% 12.81/3.37 |-The branch is then unsatisfiable
% 12.81/3.37 |-Branch two:
% 12.81/3.37 | (483) ~ (all_0_142_142 = e11)
% 12.81/3.37 | (590) all_0_146_146 = e11 | all_0_149_149 = e11 | all_0_151_151 = e11
% 12.81/3.37 |
% 12.81/3.37 +-Applying beta-rule and splitting (590), into two cases.
% 12.81/3.37 |-Branch one:
% 12.81/3.37 | (591) all_0_146_146 = e11
% 12.81/3.37 |
% 12.81/3.37 | Equations (591) can reduce 503 to:
% 12.81/3.37 | (404) $false
% 12.81/3.37 |
% 12.81/3.37 |-The branch is then unsatisfiable
% 12.81/3.37 |-Branch two:
% 12.81/3.37 | (503) ~ (all_0_146_146 = e11)
% 12.81/3.37 | (594) all_0_149_149 = e11 | all_0_151_151 = e11
% 12.81/3.37 |
% 12.81/3.37 +-Applying beta-rule and splitting (131), into two cases.
% 12.81/3.37 |-Branch one:
% 12.81/3.37 | (595) all_0_151_151 = e11
% 12.81/3.37 |
% 12.81/3.37 | Equations (595) can reduce 41 to:
% 12.81/3.37 | (483) ~ (all_0_142_142 = e11)
% 12.81/3.37 |
% 12.81/3.37 | From (595)(595) and (220) follows:
% 12.81/3.37 | (597) op1(e11, e11) = all_0_119_119
% 12.81/3.37 |
% 12.81/3.37 | Instantiating formula (133) with e11, e11, all_0_119_119, e12 and discharging atoms op1(e11, e11) = all_0_119_119, op1(e11, e11) = e12, yields:
% 12.81/3.37 | (598) all_0_119_119 = e12
% 12.81/3.37 |
% 12.81/3.37 | Instantiating formula (133) with e11, e11, all_0_122_122, all_0_119_119 and discharging atoms op1(e11, e11) = all_0_119_119, op1(e11, e11) = all_0_122_122, yields:
% 12.81/3.38 | (599) all_0_119_119 = all_0_122_122
% 12.81/3.38 |
% 12.81/3.38 | Combining equations (599,598) yields a new equation:
% 12.81/3.38 | (600) all_0_122_122 = e12
% 12.81/3.38 |
% 12.81/3.38 | Simplifying 600 yields:
% 12.81/3.38 | (601) all_0_122_122 = e12
% 12.81/3.38 |
% 12.81/3.38 +-Applying beta-rule and splitting (103), into two cases.
% 12.81/3.38 |-Branch one:
% 12.81/3.38 | (545) (all_0_116_116 = e13 & all_0_117_117 = e12 & all_0_118_118 = e11 & all_0_119_119 = e10) | (all_0_120_120 = e13 & all_0_121_121 = e12 & all_0_122_122 = e11 & all_0_123_123 = e10) | (all_0_124_124 = e13 & all_0_125_125 = e10 & all_0_147_147 = e11 & all_0_154_154 = e12)
% 12.81/3.38 |
% 12.81/3.38 +-Applying beta-rule and splitting (545), into two cases.
% 12.81/3.38 |-Branch one:
% 12.81/3.38 | (546) (all_0_116_116 = e13 & all_0_117_117 = e12 & all_0_118_118 = e11 & all_0_119_119 = e10) | (all_0_120_120 = e13 & all_0_121_121 = e12 & all_0_122_122 = e11 & all_0_123_123 = e10)
% 12.81/3.38 |
% 12.81/3.38 +-Applying beta-rule and splitting (546), into two cases.
% 12.81/3.38 |-Branch one:
% 12.81/3.38 | (547) all_0_116_116 = e13 & all_0_117_117 = e12 & all_0_118_118 = e11 & all_0_119_119 = e10
% 12.81/3.38 |
% 12.81/3.38 | Applying alpha-rule on (547) yields:
% 12.81/3.38 | (548) all_0_116_116 = e13
% 12.81/3.38 | (549) all_0_117_117 = e12
% 12.81/3.38 | (550) all_0_118_118 = e11
% 12.81/3.38 | (551) all_0_119_119 = e10
% 12.81/3.38 |
% 12.81/3.38 | Combining equations (598,551) yields a new equation:
% 12.81/3.38 | (559) e12 = e10
% 12.81/3.38 |
% 12.81/3.38 | Simplifying 559 yields:
% 12.81/3.38 | (560) e12 = e10
% 12.81/3.38 |
% 12.81/3.38 | Equations (560) can reduce 5 to:
% 12.81/3.38 | (404) $false
% 12.81/3.38 |
% 12.81/3.38 |-The branch is then unsatisfiable
% 12.81/3.38 |-Branch two:
% 12.81/3.38 | (554) all_0_120_120 = e13 & all_0_121_121 = e12 & all_0_122_122 = e11 & all_0_123_123 = e10
% 12.81/3.38 |
% 12.81/3.38 | Applying alpha-rule on (554) yields:
% 12.81/3.38 | (555) all_0_120_120 = e13
% 12.81/3.38 | (556) all_0_121_121 = e12
% 12.81/3.38 | (557) all_0_122_122 = e11
% 12.81/3.38 | (558) all_0_123_123 = e10
% 12.81/3.38 |
% 12.81/3.38 | Combining equations (557,601) yields a new equation:
% 12.81/3.38 | (552) e12 = e11
% 12.81/3.38 |
% 12.81/3.38 | Equations (552) can reduce 91 to:
% 12.81/3.38 | (404) $false
% 12.81/3.38 |
% 12.81/3.38 |-The branch is then unsatisfiable
% 12.81/3.38 |-Branch two:
% 12.81/3.38 | (562) all_0_124_124 = e13 & all_0_125_125 = e10 & all_0_147_147 = e11 & all_0_154_154 = e12
% 12.81/3.38 |
% 12.81/3.38 | Applying alpha-rule on (562) yields:
% 12.81/3.38 | (563) all_0_124_124 = e13
% 12.81/3.38 | (564) all_0_125_125 = e10
% 12.81/3.38 | (530) all_0_147_147 = e11
% 12.81/3.38 | (566) all_0_154_154 = e12
% 12.81/3.38 |
% 12.81/3.38 | Combining equations (563,500) yields a new equation:
% 12.81/3.38 | (567) e13 = e12
% 12.81/3.38 |
% 12.81/3.38 | Simplifying 567 yields:
% 12.81/3.38 | (568) e13 = e12
% 12.81/3.38 |
% 12.81/3.38 | Equations (568) can reduce 247 to:
% 12.81/3.38 | (404) $false
% 12.81/3.38 |
% 12.81/3.38 |-The branch is then unsatisfiable
% 12.81/3.38 |-Branch two:
% 12.81/3.38 | (570) all_0_126_126 = e13 & all_0_127_127 = e12 & all_0_128_128 = e10 & all_0_142_142 = e11
% 12.81/3.38 |
% 12.81/3.38 | Applying alpha-rule on (570) yields:
% 12.81/3.38 | (571) all_0_126_126 = e13
% 12.81/3.38 | (507) all_0_127_127 = e12
% 12.81/3.38 | (573) all_0_128_128 = e10
% 12.81/3.38 | (574) all_0_142_142 = e11
% 12.81/3.38 |
% 12.81/3.38 | Equations (574) can reduce 483 to:
% 12.81/3.38 | (404) $false
% 12.81/3.38 |
% 12.81/3.38 |-The branch is then unsatisfiable
% 12.81/3.38 |-Branch two:
% 12.81/3.38 | (633) ~ (all_0_151_151 = e11)
% 12.81/3.38 | (634) all_0_152_152 = e11 | all_0_153_153 = e11 | all_0_154_154 = e11
% 12.81/3.38 |
% 12.81/3.38 +-Applying beta-rule and splitting (594), into two cases.
% 12.81/3.38 |-Branch one:
% 12.81/3.38 | (509) all_0_149_149 = e11
% 12.81/3.38 |
% 12.81/3.38 | Combining equations (516,509) yields a new equation:
% 12.81/3.38 | (518) e11 = e10
% 12.81/3.38 |
% 12.81/3.38 | Equations (518) can reduce 238 to:
% 12.81/3.38 | (404) $false
% 12.81/3.38 |
% 12.81/3.38 |-The branch is then unsatisfiable
% 12.81/3.38 |-Branch two:
% 12.81/3.38 | (576) ~ (all_0_149_149 = e11)
% 12.81/3.38 | (595) all_0_151_151 = e11
% 12.81/3.38 |
% 12.81/3.38 | Equations (595) can reduce 633 to:
% 12.81/3.38 | (404) $false
% 12.81/3.38 |
% 12.81/3.38 |-The branch is then unsatisfiable
% 12.81/3.38 |-Branch two:
% 12.81/3.38 | (520) ~ (all_0_149_149 = e10)
% 12.81/3.38 | (521) all_0_150_150 = e10
% 12.81/3.38 |
% 12.81/3.38 | Combining equations (534,521) yields a new equation:
% 12.81/3.38 | (517) e11 = e10
% 12.81/3.38 |
% 12.81/3.38 | Simplifying 517 yields:
% 12.81/3.38 | (518) e11 = e10
% 12.81/3.38 |
% 12.81/3.38 | Equations (518) can reduce 238 to:
% 12.81/3.38 | (404) $false
% 12.81/3.38 |
% 12.81/3.38 |-The branch is then unsatisfiable
% 12.81/3.38 |-Branch two:
% 12.81/3.38 | (646) ~ (all_0_148_148 = e11)
% 12.81/3.38 | (647) all_0_148_148 = e12
% 12.81/3.38 |
% 12.81/3.38 | Equations (647) can reduce 266 to:
% 12.81/3.38 | (648) ~ (all_0_145_145 = e12)
% 12.81/3.38 |
% 12.81/3.38 | Equations (647) can reduce 29 to:
% 12.81/3.38 | (649) ~ (all_0_146_146 = e12)
% 12.81/3.38 |
% 12.81/3.38 | Equations (647) can reduce 357 to:
% 12.81/3.38 | (650) ~ (all_0_147_147 = e12)
% 12.81/3.38 |
% 12.81/3.38 | Equations (647) can reduce 646 to:
% 12.81/3.38 | (91) ~ (e12 = e11)
% 12.81/3.38 |
% 12.81/3.38 | From (647)(647) and (60) follows:
% 12.81/3.38 | (652) op1(e12, e12) = all_0_127_127
% 12.81/3.38 |
% 12.81/3.38 +-Applying beta-rule and splitting (338), into two cases.
% 12.81/3.38 |-Branch one:
% 12.81/3.38 | (653) all_0_145_145 = e11
% 12.81/3.38 |
% 12.81/3.38 | Equations (653) can reduce 486 to:
% 12.81/3.38 | (404) $false
% 12.81/3.38 |
% 12.81/3.38 |-The branch is then unsatisfiable
% 12.81/3.38 |-Branch two:
% 12.81/3.38 | (486) ~ (all_0_145_145 = e11)
% 12.81/3.38 | (656) all_0_148_148 = e11 | all_0_154_154 = e11
% 12.81/3.38 |
% 12.81/3.38 +-Applying beta-rule and splitting (68), into two cases.
% 12.81/3.38 |-Branch one:
% 12.81/3.38 | (653) all_0_145_145 = e11
% 12.81/3.38 |
% 12.81/3.38 | Equations (653) can reduce 486 to:
% 12.81/3.38 | (404) $false
% 12.81/3.38 |
% 12.81/3.38 |-The branch is then unsatisfiable
% 12.81/3.38 |-Branch two:
% 12.81/3.38 | (486) ~ (all_0_145_145 = e11)
% 12.81/3.38 | (660) all_0_145_145 = e12 | all_0_145_145 = e10
% 12.81/3.38 |
% 12.81/3.38 +-Applying beta-rule and splitting (656), into two cases.
% 12.81/3.38 |-Branch one:
% 12.81/3.38 | (502) all_0_148_148 = e11
% 12.81/3.38 |
% 12.81/3.38 | Combining equations (647,502) yields a new equation:
% 12.81/3.38 | (662) e12 = e11
% 12.81/3.38 |
% 12.81/3.38 | Simplifying 662 yields:
% 12.81/3.38 | (552) e12 = e11
% 12.81/3.38 |
% 12.81/3.38 | Equations (552) can reduce 91 to:
% 12.81/3.38 | (404) $false
% 12.81/3.38 |
% 12.81/3.38 |-The branch is then unsatisfiable
% 12.81/3.38 |-Branch two:
% 12.81/3.38 | (646) ~ (all_0_148_148 = e11)
% 12.81/3.38 | (666) all_0_154_154 = e11
% 12.81/3.38 |
% 12.81/3.38 | Equations (666) can reduce 369 to:
% 12.81/3.38 | (667) ~ (all_0_152_152 = e11)
% 12.81/3.38 |
% 12.81/3.38 | Equations (666) can reduce 65 to:
% 12.81/3.38 | (668) ~ (e13 = e11)
% 12.81/3.38 |
% 12.81/3.38 | Simplifying 668 yields:
% 12.81/3.38 | (351) ~ (e13 = e11)
% 12.81/3.38 |
% 12.81/3.38 | From (666)(666) and (374) follows:
% 12.81/3.38 | (670) op1(e11, e11) = all_0_128_128
% 12.81/3.38 |
% 12.81/3.38 | From (666) and (233) follows:
% 12.81/3.38 | (671) op1(e10, e10) = e11
% 12.81/3.38 |
% 12.81/3.38 +-Applying beta-rule and splitting (660), into two cases.
% 12.81/3.38 |-Branch one:
% 12.81/3.38 | (672) all_0_145_145 = e12
% 12.81/3.38 |
% 12.81/3.38 | Equations (672) can reduce 648 to:
% 12.81/3.38 | (404) $false
% 12.81/3.38 |
% 12.81/3.38 |-The branch is then unsatisfiable
% 12.81/3.38 |-Branch two:
% 12.81/3.38 | (648) ~ (all_0_145_145 = e12)
% 12.81/3.38 | (675) all_0_145_145 = e10
% 12.81/3.38 |
% 12.81/3.38 | Equations (675) can reduce 18 to:
% 12.81/3.38 | (676) ~ (all_0_142_142 = e10)
% 12.81/3.38 |
% 12.81/3.38 | Equations (675) can reduce 263 to:
% 12.81/3.38 | (677) ~ (all_0_143_143 = e10)
% 12.81/3.38 |
% 12.81/3.38 | From (675)(675) and (370) follows:
% 12.81/3.38 | (678) op1(e10, e10) = all_0_126_126
% 12.81/3.38 |
% 12.81/3.38 | Instantiating formula (133) with e12, e12, all_0_127_127, all_0_147_147 and discharging atoms op1(e12, e12) = all_0_127_127, op1(e12, e12) = all_0_147_147, yields:
% 12.81/3.38 | (679) all_0_127_127 = all_0_147_147
% 12.81/3.38 |
% 12.81/3.38 | Instantiating formula (133) with e11, e11, all_0_128_128, e12 and discharging atoms op1(e11, e11) = all_0_128_128, op1(e11, e11) = e12, yields:
% 12.81/3.38 | (680) all_0_128_128 = e12
% 12.81/3.38 |
% 12.81/3.38 | Instantiating formula (133) with e10, e10, e11, all_0_126_126 and discharging atoms op1(e10, e10) = all_0_126_126, op1(e10, e10) = e11, yields:
% 12.81/3.38 | (681) all_0_126_126 = e11
% 12.81/3.38 |
% 12.81/3.39 | From (679) and (652) follows:
% 12.81/3.39 | (292) op1(e12, e12) = all_0_147_147
% 12.81/3.39 |
% 12.81/3.39 | From (681) and (678) follows:
% 12.81/3.39 | (671) op1(e10, e10) = e11
% 12.81/3.39 |
% 12.81/3.39 +-Applying beta-rule and splitting (66), into two cases.
% 12.81/3.39 |-Branch one:
% 12.81/3.39 | (534) all_0_150_150 = e11
% 12.81/3.39 |
% 12.81/3.39 | Equations (534) can reduce 108 to:
% 12.81/3.39 | (484) ~ (all_0_143_143 = e11)
% 12.81/3.39 |
% 12.81/3.39 | Equations (534) can reduce 137 to:
% 12.81/3.39 | (504) ~ (all_0_147_147 = e11)
% 12.81/3.39 |
% 12.81/3.39 | Equations (534) can reduce 316 to:
% 12.81/3.39 | (687) ~ (all_0_152_152 = e11)
% 12.81/3.39 |
% 12.81/3.39 | Simplifying 687 yields:
% 12.81/3.39 | (667) ~ (all_0_152_152 = e11)
% 12.81/3.39 |
% 12.81/3.39 | Equations (534) can reduce 171 to:
% 12.81/3.39 | (668) ~ (e13 = e11)
% 12.81/3.39 |
% 12.81/3.39 | Simplifying 668 yields:
% 12.81/3.39 | (351) ~ (e13 = e11)
% 12.81/3.39 |
% 12.81/3.39 | Equations (534) can reduce 22 to:
% 12.81/3.39 | (513) ~ (e12 = e11)
% 12.81/3.39 |
% 12.81/3.39 | Simplifying 513 yields:
% 12.81/3.39 | (91) ~ (e12 = e11)
% 12.81/3.39 |
% 12.81/3.39 +-Applying beta-rule and splitting (142), into two cases.
% 12.81/3.39 |-Branch one:
% 12.81/3.39 | (591) all_0_146_146 = e11
% 12.81/3.39 |
% 12.81/3.39 | Equations (591) can reduce 379 to:
% 12.81/3.39 | (694) ~ (all_0_147_147 = e11)
% 12.81/3.39 |
% 12.81/3.39 | Simplifying 694 yields:
% 12.81/3.39 | (504) ~ (all_0_147_147 = e11)
% 12.81/3.39 |
% 12.81/3.39 | Equations (591) can reduce 279 to:
% 12.81/3.39 | (696) ~ (all_0_149_149 = e11)
% 12.81/3.39 |
% 12.81/3.39 | Simplifying 696 yields:
% 12.81/3.39 | (576) ~ (all_0_149_149 = e11)
% 12.81/3.39 |
% 12.81/3.39 | Equations (591) can reduce 260 to:
% 12.81/3.39 | (698) ~ (all_0_151_151 = e11)
% 12.81/3.39 |
% 12.81/3.39 | Simplifying 698 yields:
% 12.81/3.39 | (633) ~ (all_0_151_151 = e11)
% 12.81/3.39 |
% 12.81/3.39 | Equations (591) can reduce 649 to:
% 12.81/3.39 | (513) ~ (e12 = e11)
% 12.81/3.39 |
% 12.81/3.39 | Simplifying 513 yields:
% 12.81/3.39 | (91) ~ (e12 = e11)
% 12.81/3.39 |
% 12.81/3.39 +-Applying beta-rule and splitting (341), into two cases.
% 12.81/3.39 |-Branch one:
% 12.81/3.39 | (530) all_0_147_147 = e11
% 12.81/3.39 |
% 12.81/3.39 | Equations (530) can reduce 504 to:
% 12.81/3.39 | (404) $false
% 12.81/3.39 |
% 12.81/3.39 |-The branch is then unsatisfiable
% 12.81/3.39 |-Branch two:
% 12.81/3.39 | (504) ~ (all_0_147_147 = e11)
% 12.81/3.39 | (705) all_0_147_147 = e13 | all_0_147_147 = e12
% 12.81/3.39 |
% 12.81/3.39 +-Applying beta-rule and splitting (111), into two cases.
% 12.81/3.39 |-Branch one:
% 12.81/3.39 | (509) all_0_149_149 = e11
% 12.81/3.39 |
% 12.81/3.39 | Equations (509) can reduce 576 to:
% 12.81/3.39 | (404) $false
% 12.81/3.39 |
% 12.81/3.39 |-The branch is then unsatisfiable
% 12.81/3.39 |-Branch two:
% 12.81/3.39 | (576) ~ (all_0_149_149 = e11)
% 12.81/3.39 | (516) all_0_149_149 = e10
% 12.81/3.39 |
% 12.81/3.39 | Equations (516) can reduce 8 to:
% 12.81/3.39 | (676) ~ (all_0_142_142 = e10)
% 12.81/3.39 |
% 12.81/3.39 | Equations (516) can reduce 576 to:
% 12.81/3.39 | (524) ~ (e11 = e10)
% 12.81/3.39 |
% 12.81/3.39 | Simplifying 524 yields:
% 12.81/3.39 | (238) ~ (e11 = e10)
% 12.81/3.39 |
% 12.81/3.39 | From (516)(516) and (378) follows:
% 12.81/3.39 | (713) op1(e10, e10) = all_0_118_118
% 12.81/3.39 |
% 12.81/3.39 +-Applying beta-rule and splitting (130), into two cases.
% 12.81/3.39 |-Branch one:
% 12.81/3.39 | (595) all_0_151_151 = e11
% 12.81/3.39 |
% 12.81/3.39 | Equations (595) can reduce 633 to:
% 12.81/3.39 | (404) $false
% 12.81/3.39 |
% 12.81/3.39 |-The branch is then unsatisfiable
% 12.81/3.39 |-Branch two:
% 12.81/3.39 | (633) ~ (all_0_151_151 = e11)
% 12.81/3.39 | (717) all_0_151_151 = e13 | all_0_151_151 = e12 | all_0_151_151 = e10
% 12.81/3.39 |
% 12.81/3.39 +-Applying beta-rule and splitting (340), into two cases.
% 12.81/3.39 |-Branch one:
% 12.81/3.39 | (718) all_0_146_146 = e13
% 12.81/3.39 |
% 12.81/3.39 | Combining equations (591,718) yields a new equation:
% 12.81/3.39 | (719) e13 = e11
% 12.81/3.39 |
% 12.81/3.39 | Equations (719) can reduce 351 to:
% 12.81/3.39 | (404) $false
% 12.81/3.39 |
% 12.81/3.39 |-The branch is then unsatisfiable
% 12.81/3.39 |-Branch two:
% 12.81/3.39 | (721) ~ (all_0_146_146 = e13)
% 12.81/3.39 | (722) all_0_147_147 = e13
% 12.81/3.39 |
% 12.81/3.39 | Combining equations (722,679) yields a new equation:
% 12.81/3.39 | (723) all_0_127_127 = e13
% 12.81/3.39 |
% 12.81/3.39 | Equations (722) can reduce 358 to:
% 12.81/3.39 | (724) ~ (all_0_143_143 = e13)
% 12.81/3.39 |
% 12.81/3.39 | Equations (722) can reduce 202 to:
% 12.81/3.39 | (725) ~ (all_0_152_152 = e13)
% 12.81/3.39 |
% 12.81/3.39 | Simplifying 725 yields:
% 12.81/3.39 | (494) ~ (all_0_152_152 = e13)
% 12.81/3.39 |
% 12.81/3.39 | Equations (722) can reduce 650 to:
% 12.81/3.39 | (247) ~ (e13 = e12)
% 12.81/3.39 |
% 12.81/3.39 | Equations (722) can reduce 504 to:
% 12.81/3.39 | (351) ~ (e13 = e11)
% 12.81/3.39 |
% 12.81/3.39 | From (722) and (292) follows:
% 12.81/3.39 | (729) op1(e12, e12) = e13
% 12.81/3.39 |
% 12.81/3.39 +-Applying beta-rule and splitting (717), into two cases.
% 12.81/3.39 |-Branch one:
% 12.81/3.39 | (730) all_0_151_151 = e12
% 12.81/3.39 |
% 12.81/3.39 | From (730)(730) and (220) follows:
% 12.81/3.39 | (731) op1(e12, e12) = all_0_119_119
% 12.81/3.39 |
% 12.81/3.39 +-Applying beta-rule and splitting (325), into two cases.
% 12.81/3.39 |-Branch one:
% 12.81/3.39 | (732) all_0_143_143 = e10
% 12.81/3.39 |
% 12.81/3.39 | Equations (732) can reduce 677 to:
% 12.81/3.39 | (404) $false
% 12.81/3.39 |
% 12.81/3.39 |-The branch is then unsatisfiable
% 12.81/3.39 |-Branch two:
% 12.81/3.39 | (677) ~ (all_0_143_143 = e10)
% 12.81/3.39 | (735) all_0_150_150 = e10 | all_0_152_152 = e10
% 12.81/3.39 |
% 12.81/3.39 +-Applying beta-rule and splitting (210), into two cases.
% 12.81/3.39 |-Branch one:
% 12.81/3.39 | (736) all_0_142_142 = e13
% 12.81/3.39 |
% 12.81/3.39 | Combining equations (736,499) yields a new equation:
% 12.81/3.39 | (737) all_0_125_125 = e13
% 12.81/3.39 |
% 12.81/3.39 | Equations (736) can reduce 197 to:
% 12.81/3.39 | (738) ~ (all_0_143_143 = e13)
% 12.81/3.39 |
% 12.81/3.39 | Simplifying 738 yields:
% 12.81/3.39 | (724) ~ (all_0_143_143 = e13)
% 12.81/3.39 |
% 12.81/3.39 +-Applying beta-rule and splitting (735), into two cases.
% 12.81/3.39 |-Branch one:
% 12.81/3.39 | (521) all_0_150_150 = e10
% 12.81/3.39 |
% 12.81/3.39 | Combining equations (534,521) yields a new equation:
% 12.81/3.39 | (517) e11 = e10
% 12.81/3.39 |
% 12.81/3.39 | Simplifying 517 yields:
% 12.81/3.39 | (518) e11 = e10
% 12.81/3.39 |
% 12.81/3.39 | Equations (518) can reduce 238 to:
% 12.81/3.39 | (404) $false
% 12.81/3.39 |
% 12.81/3.39 |-The branch is then unsatisfiable
% 12.81/3.39 |-Branch two:
% 12.81/3.39 | (744) ~ (all_0_150_150 = e10)
% 12.81/3.39 | (745) all_0_152_152 = e10
% 12.81/3.39 |
% 12.81/3.39 | Equations (745) can reduce 339 to:
% 12.81/3.39 | (677) ~ (all_0_143_143 = e10)
% 12.81/3.39 |
% 12.81/3.39 | Equations (745) can reduce 494 to:
% 12.81/3.39 | (747) ~ (e13 = e10)
% 12.81/3.39 |
% 12.81/3.39 | Simplifying 747 yields:
% 12.81/3.39 | (164) ~ (e13 = e10)
% 12.81/3.39 |
% 12.81/3.39 | Equations (745) can reduce 667 to:
% 12.81/3.39 | (524) ~ (e11 = e10)
% 12.81/3.39 |
% 12.81/3.39 | Simplifying 524 yields:
% 12.81/3.39 | (238) ~ (e11 = e10)
% 12.81/3.39 |
% 12.81/3.39 | From (745)(745) and (321) follows:
% 12.81/3.39 | (751) op1(e10, e10) = all_0_123_123
% 12.81/3.39 |
% 12.81/3.39 +-Applying beta-rule and splitting (296), into two cases.
% 12.81/3.39 |-Branch one:
% 12.81/3.39 | (526) all_0_143_143 = e11
% 12.81/3.39 |
% 12.81/3.39 | Equations (526) can reduce 484 to:
% 12.81/3.39 | (404) $false
% 12.81/3.39 |
% 12.81/3.39 |-The branch is then unsatisfiable
% 12.81/3.39 |-Branch two:
% 12.81/3.39 | (484) ~ (all_0_143_143 = e11)
% 12.81/3.39 | (755) all_0_143_143 = e13 | all_0_143_143 = e12 | all_0_143_143 = e10
% 12.81/3.39 |
% 12.81/3.39 +-Applying beta-rule and splitting (755), into two cases.
% 12.81/3.39 |-Branch one:
% 12.81/3.39 | (756) all_0_143_143 = e12
% 12.81/3.39 |
% 12.81/3.39 | From (756)(756) and (272) follows:
% 12.81/3.39 | (757) op1(e12, e12) = all_0_120_120
% 12.81/3.39 |
% 12.81/3.39 | Instantiating formula (133) with e12, e12, all_0_120_120, all_0_119_119 and discharging atoms op1(e12, e12) = all_0_119_119, op1(e12, e12) = all_0_120_120, yields:
% 12.81/3.39 | (758) all_0_119_119 = all_0_120_120
% 12.81/3.39 |
% 12.81/3.39 | Instantiating formula (133) with e12, e12, e13, all_0_119_119 and discharging atoms op1(e12, e12) = all_0_119_119, op1(e12, e12) = e13, yields:
% 12.81/3.39 | (759) all_0_119_119 = e13
% 12.81/3.39 |
% 12.81/3.39 | Instantiating formula (133) with e10, e10, all_0_118_118, e11 and discharging atoms op1(e10, e10) = all_0_118_118, op1(e10, e10) = e11, yields:
% 12.81/3.39 | (550) all_0_118_118 = e11
% 12.81/3.39 |
% 12.81/3.39 | Instantiating formula (133) with e10, e10, all_0_123_123, all_0_118_118 and discharging atoms op1(e10, e10) = all_0_118_118, op1(e10, e10) = all_0_123_123, yields:
% 12.81/3.39 | (542) all_0_118_118 = all_0_123_123
% 12.81/3.39 |
% 12.81/3.39 | Combining equations (542,550) yields a new equation:
% 12.81/3.39 | (762) all_0_123_123 = e11
% 12.81/3.39 |
% 12.81/3.39 | Simplifying 762 yields:
% 12.81/3.39 | (763) all_0_123_123 = e11
% 12.81/3.39 |
% 12.81/3.39 | Combining equations (759,758) yields a new equation:
% 12.81/3.39 | (555) all_0_120_120 = e13
% 12.81/3.39 |
% 12.81/3.39 | Combining equations (555,758) yields a new equation:
% 12.81/3.39 | (759) all_0_119_119 = e13
% 12.81/3.39 |
% 12.81/3.39 +-Applying beta-rule and splitting (103), into two cases.
% 12.81/3.39 |-Branch one:
% 12.81/3.39 | (545) (all_0_116_116 = e13 & all_0_117_117 = e12 & all_0_118_118 = e11 & all_0_119_119 = e10) | (all_0_120_120 = e13 & all_0_121_121 = e12 & all_0_122_122 = e11 & all_0_123_123 = e10) | (all_0_124_124 = e13 & all_0_125_125 = e10 & all_0_147_147 = e11 & all_0_154_154 = e12)
% 12.81/3.39 |
% 12.81/3.39 +-Applying beta-rule and splitting (545), into two cases.
% 12.81/3.39 |-Branch one:
% 12.81/3.39 | (546) (all_0_116_116 = e13 & all_0_117_117 = e12 & all_0_118_118 = e11 & all_0_119_119 = e10) | (all_0_120_120 = e13 & all_0_121_121 = e12 & all_0_122_122 = e11 & all_0_123_123 = e10)
% 12.81/3.39 |
% 12.81/3.39 +-Applying beta-rule and splitting (546), into two cases.
% 12.81/3.39 |-Branch one:
% 12.81/3.39 | (547) all_0_116_116 = e13 & all_0_117_117 = e12 & all_0_118_118 = e11 & all_0_119_119 = e10
% 12.81/3.40 |
% 12.81/3.40 | Applying alpha-rule on (547) yields:
% 12.81/3.40 | (548) all_0_116_116 = e13
% 12.81/3.40 | (549) all_0_117_117 = e12
% 12.81/3.40 | (550) all_0_118_118 = e11
% 12.81/3.40 | (551) all_0_119_119 = e10
% 12.81/3.40 |
% 12.81/3.40 | Combining equations (551,759) yields a new equation:
% 12.81/3.40 | (773) e13 = e10
% 12.81/3.40 |
% 12.81/3.40 | Equations (773) can reduce 164 to:
% 12.81/3.40 | (404) $false
% 12.81/3.40 |
% 12.81/3.40 |-The branch is then unsatisfiable
% 12.81/3.40 |-Branch two:
% 12.81/3.40 | (554) all_0_120_120 = e13 & all_0_121_121 = e12 & all_0_122_122 = e11 & all_0_123_123 = e10
% 12.81/3.40 |
% 12.81/3.40 | Applying alpha-rule on (554) yields:
% 12.81/3.40 | (555) all_0_120_120 = e13
% 12.81/3.40 | (556) all_0_121_121 = e12
% 12.81/3.40 | (557) all_0_122_122 = e11
% 12.81/3.40 | (558) all_0_123_123 = e10
% 12.81/3.40 |
% 12.81/3.40 | Combining equations (558,763) yields a new equation:
% 12.81/3.40 | (518) e11 = e10
% 12.81/3.40 |
% 12.81/3.40 | Equations (518) can reduce 238 to:
% 12.81/3.40 | (404) $false
% 12.81/3.40 |
% 12.81/3.40 |-The branch is then unsatisfiable
% 12.81/3.40 |-Branch two:
% 12.81/3.40 | (562) all_0_124_124 = e13 & all_0_125_125 = e10 & all_0_147_147 = e11 & all_0_154_154 = e12
% 12.81/3.40 |
% 12.81/3.40 | Applying alpha-rule on (562) yields:
% 12.81/3.40 | (563) all_0_124_124 = e13
% 12.81/3.40 | (564) all_0_125_125 = e10
% 12.81/3.40 | (530) all_0_147_147 = e11
% 12.81/3.40 | (566) all_0_154_154 = e12
% 12.81/3.40 |
% 12.81/3.40 | Combining equations (563,500) yields a new equation:
% 12.81/3.40 | (567) e13 = e12
% 12.81/3.40 |
% 12.81/3.40 | Simplifying 567 yields:
% 12.81/3.40 | (568) e13 = e12
% 12.81/3.40 |
% 12.81/3.40 | Combining equations (737,564) yields a new equation:
% 12.81/3.40 | (789) e13 = e10
% 12.81/3.40 |
% 12.81/3.40 | Simplifying 789 yields:
% 12.81/3.40 | (773) e13 = e10
% 12.81/3.40 |
% 12.81/3.40 | Combining equations (722,530) yields a new equation:
% 12.81/3.40 | (791) e13 = e11
% 12.81/3.40 |
% 12.81/3.40 | Simplifying 791 yields:
% 12.81/3.40 | (719) e13 = e11
% 12.81/3.40 |
% 12.81/3.40 | Combining equations (773,568) yields a new equation:
% 12.81/3.40 | (560) e12 = e10
% 12.81/3.40 |
% 12.81/3.40 | Combining equations (719,568) yields a new equation:
% 12.81/3.40 | (552) e12 = e11
% 12.81/3.40 |
% 12.81/3.40 | Combining equations (560,552) yields a new equation:
% 12.81/3.40 | (518) e11 = e10
% 12.81/3.40 |
% 12.81/3.40 | Equations (518) can reduce 238 to:
% 12.81/3.40 | (404) $false
% 12.81/3.40 |
% 12.81/3.40 |-The branch is then unsatisfiable
% 12.81/3.40 |-Branch two:
% 12.81/3.40 | (570) all_0_126_126 = e13 & all_0_127_127 = e12 & all_0_128_128 = e10 & all_0_142_142 = e11
% 12.81/3.40 |
% 12.81/3.40 | Applying alpha-rule on (570) yields:
% 12.81/3.40 | (571) all_0_126_126 = e13
% 12.81/3.40 | (507) all_0_127_127 = e12
% 12.81/3.40 | (573) all_0_128_128 = e10
% 12.81/3.40 | (574) all_0_142_142 = e11
% 12.81/3.40 |
% 12.81/3.40 | Combining equations (723,507) yields a new equation:
% 12.81/3.40 | (567) e13 = e12
% 12.81/3.40 |
% 12.81/3.40 | Simplifying 567 yields:
% 12.81/3.40 | (568) e13 = e12
% 12.81/3.40 |
% 12.81/3.40 | Combining equations (680,573) yields a new equation:
% 12.81/3.40 | (559) e12 = e10
% 12.81/3.40 |
% 12.81/3.40 | Simplifying 559 yields:
% 12.81/3.40 | (560) e12 = e10
% 12.81/3.40 |
% 12.81/3.40 | Combining equations (574,736) yields a new equation:
% 12.81/3.40 | (719) e13 = e11
% 12.81/3.40 |
% 12.81/3.40 | Combining equations (568,719) yields a new equation:
% 12.81/3.40 | (662) e12 = e11
% 12.81/3.40 |
% 12.81/3.40 | Simplifying 662 yields:
% 12.81/3.40 | (552) e12 = e11
% 12.81/3.40 |
% 12.81/3.40 | Combining equations (552,560) yields a new equation:
% 12.81/3.40 | (517) e11 = e10
% 12.81/3.40 |
% 12.81/3.40 | Simplifying 517 yields:
% 12.81/3.40 | (518) e11 = e10
% 12.81/3.40 |
% 12.81/3.40 | Equations (518) can reduce 238 to:
% 12.81/3.40 | (404) $false
% 12.81/3.40 |
% 12.81/3.40 |-The branch is then unsatisfiable
% 12.81/3.40 |-Branch two:
% 12.81/3.40 | (812) ~ (all_0_143_143 = e12)
% 12.81/3.40 | (813) all_0_143_143 = e13 | all_0_143_143 = e10
% 12.81/3.40 |
% 12.81/3.40 +-Applying beta-rule and splitting (813), into two cases.
% 12.81/3.40 |-Branch one:
% 12.81/3.40 | (814) all_0_143_143 = e13
% 12.81/3.40 |
% 12.81/3.40 | Equations (814) can reduce 724 to:
% 12.81/3.40 | (404) $false
% 12.81/3.40 |
% 12.81/3.40 |-The branch is then unsatisfiable
% 12.81/3.40 |-Branch two:
% 12.81/3.40 | (724) ~ (all_0_143_143 = e13)
% 12.81/3.40 | (732) all_0_143_143 = e10
% 12.81/3.40 |
% 12.81/3.40 | Equations (732) can reduce 677 to:
% 12.81/3.40 | (404) $false
% 12.81/3.40 |
% 12.81/3.40 |-The branch is then unsatisfiable
% 12.81/3.40 |-Branch two:
% 12.81/3.40 | (819) ~ (all_0_142_142 = e13)
% 12.81/3.40 | (820) all_0_143_143 = e13 | all_0_144_144 = e13
% 12.81/3.40 |
% 12.81/3.40 +-Applying beta-rule and splitting (820), into two cases.
% 12.81/3.40 |-Branch one:
% 12.81/3.40 | (814) all_0_143_143 = e13
% 12.81/3.40 |
% 12.81/3.40 | Equations (814) can reduce 724 to:
% 12.81/3.40 | (404) $false
% 12.81/3.40 |
% 12.81/3.40 |-The branch is then unsatisfiable
% 12.81/3.40 |-Branch two:
% 12.81/3.40 | (724) ~ (all_0_143_143 = e13)
% 12.81/3.40 | (824) all_0_144_144 = e13
% 12.81/3.40 |
% 12.81/3.40 | Combining equations (482,824) yields a new equation:
% 12.81/3.40 | (719) e13 = e11
% 12.81/3.40 |
% 12.81/3.40 | Equations (719) can reduce 351 to:
% 12.81/3.40 | (404) $false
% 12.81/3.40 |
% 12.81/3.40 |-The branch is then unsatisfiable
% 12.81/3.40 |-Branch two:
% 12.81/3.40 | (827) ~ (all_0_151_151 = e12)
% 12.81/3.40 | (828) all_0_151_151 = e13 | all_0_151_151 = e10
% 12.81/3.40 |
% 12.81/3.40 +-Applying beta-rule and splitting (170), into two cases.
% 12.81/3.40 |-Branch one:
% 12.81/3.40 | (829) all_0_142_142 = e12
% 12.81/3.40 |
% 12.81/3.40 | Equations (829) can reduce 197 to:
% 12.81/3.40 | (830) ~ (all_0_143_143 = e12)
% 12.81/3.40 |
% 12.81/3.40 | Simplifying 830 yields:
% 12.81/3.40 | (812) ~ (all_0_143_143 = e12)
% 12.81/3.40 |
% 12.81/3.40 | Equations (829) can reduce 676 to:
% 12.81/3.40 | (5) ~ (e12 = e10)
% 12.81/3.40 |
% 12.81/3.40 +-Applying beta-rule and splitting (75), into two cases.
% 12.81/3.40 |-Branch one:
% 12.81/3.40 | (756) all_0_143_143 = e12
% 12.81/3.40 |
% 12.81/3.40 | Equations (756) can reduce 812 to:
% 12.81/3.40 | (404) $false
% 12.81/3.40 |
% 12.81/3.40 |-The branch is then unsatisfiable
% 12.81/3.40 |-Branch two:
% 12.81/3.40 | (812) ~ (all_0_143_143 = e12)
% 12.81/3.40 | (836) all_0_147_147 = e12 | all_0_152_152 = e12
% 12.81/3.40 |
% 12.81/3.40 +-Applying beta-rule and splitting (836), into two cases.
% 12.81/3.40 |-Branch one:
% 12.81/3.40 | (837) all_0_147_147 = e12
% 12.81/3.40 |
% 12.81/3.40 | Combining equations (722,837) yields a new equation:
% 12.81/3.40 | (567) e13 = e12
% 12.81/3.40 |
% 12.81/3.40 | Simplifying 567 yields:
% 12.81/3.40 | (568) e13 = e12
% 12.81/3.40 |
% 12.81/3.40 | Equations (568) can reduce 247 to:
% 12.81/3.40 | (404) $false
% 12.81/3.40 |
% 12.81/3.40 |-The branch is then unsatisfiable
% 12.81/3.40 |-Branch two:
% 12.81/3.40 | (650) ~ (all_0_147_147 = e12)
% 12.81/3.40 | (842) all_0_152_152 = e12
% 12.81/3.40 |
% 12.81/3.40 +-Applying beta-rule and splitting (325), into two cases.
% 12.81/3.40 |-Branch one:
% 12.81/3.40 | (732) all_0_143_143 = e10
% 12.81/3.40 |
% 12.81/3.40 | Equations (732) can reduce 677 to:
% 12.81/3.40 | (404) $false
% 12.81/3.40 |
% 12.81/3.40 |-The branch is then unsatisfiable
% 12.81/3.40 |-Branch two:
% 12.81/3.40 | (677) ~ (all_0_143_143 = e10)
% 12.81/3.40 | (735) all_0_150_150 = e10 | all_0_152_152 = e10
% 12.81/3.40 |
% 12.81/3.40 +-Applying beta-rule and splitting (735), into two cases.
% 12.81/3.40 |-Branch one:
% 12.81/3.40 | (521) all_0_150_150 = e10
% 12.81/3.40 |
% 12.81/3.40 | Combining equations (534,521) yields a new equation:
% 12.81/3.40 | (517) e11 = e10
% 12.81/3.40 |
% 12.81/3.40 | Simplifying 517 yields:
% 12.81/3.40 | (518) e11 = e10
% 12.81/3.40 |
% 12.81/3.40 | Equations (518) can reduce 238 to:
% 12.81/3.40 | (404) $false
% 12.81/3.40 |
% 12.81/3.40 |-The branch is then unsatisfiable
% 12.81/3.40 |-Branch two:
% 12.81/3.40 | (744) ~ (all_0_150_150 = e10)
% 12.81/3.40 | (745) all_0_152_152 = e10
% 12.81/3.40 |
% 12.81/3.40 | Combining equations (745,842) yields a new equation:
% 12.81/3.40 | (560) e12 = e10
% 12.81/3.40 |
% 12.81/3.40 | Equations (560) can reduce 5 to:
% 12.81/3.40 | (404) $false
% 12.81/3.40 |
% 12.81/3.40 |-The branch is then unsatisfiable
% 12.81/3.40 |-Branch two:
% 12.81/3.40 | (855) ~ (all_0_142_142 = e12)
% 12.81/3.40 | (856) all_0_146_146 = e12 | all_0_151_151 = e12
% 12.81/3.40 |
% 12.81/3.40 +-Applying beta-rule and splitting (856), into two cases.
% 12.81/3.40 |-Branch one:
% 12.81/3.40 | (857) all_0_146_146 = e12
% 12.81/3.40 |
% 12.81/3.40 | Combining equations (857,591) yields a new equation:
% 12.81/3.40 | (662) e12 = e11
% 12.81/3.40 |
% 12.81/3.40 | Simplifying 662 yields:
% 12.81/3.40 | (552) e12 = e11
% 12.81/3.40 |
% 12.81/3.40 | Equations (552) can reduce 91 to:
% 12.81/3.40 | (404) $false
% 12.81/3.40 |
% 12.81/3.40 |-The branch is then unsatisfiable
% 12.81/3.40 |-Branch two:
% 12.81/3.40 | (649) ~ (all_0_146_146 = e12)
% 12.81/3.40 | (730) all_0_151_151 = e12
% 12.81/3.40 |
% 12.81/3.40 | Equations (730) can reduce 827 to:
% 12.81/3.40 | (404) $false
% 12.81/3.40 |
% 12.81/3.40 |-The branch is then unsatisfiable
% 12.81/3.40 |-Branch two:
% 12.81/3.40 | (503) ~ (all_0_146_146 = e11)
% 12.81/3.40 | (865) all_0_147_147 = e11 | all_0_148_148 = e11
% 12.81/3.40 |
% 12.81/3.40 +-Applying beta-rule and splitting (865), into two cases.
% 12.81/3.40 |-Branch one:
% 12.81/3.40 | (530) all_0_147_147 = e11
% 12.81/3.40 |
% 12.81/3.40 | Equations (530) can reduce 504 to:
% 12.81/3.40 | (404) $false
% 12.81/3.40 |
% 12.81/3.40 |-The branch is then unsatisfiable
% 12.81/3.40 |-Branch two:
% 12.81/3.40 | (504) ~ (all_0_147_147 = e11)
% 12.81/3.40 | (502) all_0_148_148 = e11
% 12.81/3.40 |
% 12.81/3.40 | Combining equations (647,502) yields a new equation:
% 12.81/3.40 | (662) e12 = e11
% 12.81/3.40 |
% 12.81/3.40 | Simplifying 662 yields:
% 12.81/3.40 | (552) e12 = e11
% 12.81/3.40 |
% 12.81/3.40 | Equations (552) can reduce 91 to:
% 12.81/3.40 | (404) $false
% 12.81/3.40 |
% 12.81/3.40 |-The branch is then unsatisfiable
% 12.81/3.40 |-Branch two:
% 12.81/3.40 | (512) ~ (all_0_150_150 = e11)
% 12.81/3.40 | (521) all_0_150_150 = e10
% 12.81/3.40 |
% 12.81/3.40 | Equations (521) can reduce 137 to:
% 12.81/3.40 | (193) ~ (all_0_147_147 = e10)
% 12.81/3.40 |
% 12.81/3.40 | Equations (521) can reduce 62 to:
% 12.81/3.40 | (520) ~ (all_0_149_149 = e10)
% 12.81/3.40 |
% 12.81/3.40 | Equations (521) can reduce 316 to:
% 12.81/3.40 | (877) ~ (all_0_152_152 = e10)
% 12.81/3.40 |
% 12.81/3.40 | Simplifying 877 yields:
% 12.81/3.40 | (878) ~ (all_0_152_152 = e10)
% 12.81/3.40 |
% 12.81/3.40 | Equations (521) can reduce 512 to:
% 12.81/3.40 | (524) ~ (e11 = e10)
% 12.81/3.40 |
% 12.81/3.40 | Simplifying 524 yields:
% 12.81/3.40 | (238) ~ (e11 = e10)
% 12.81/3.40 |
% 12.81/3.40 +-Applying beta-rule and splitting (173), into two cases.
% 12.81/3.40 |-Branch one:
% 12.81/3.40 | (539) all_0_152_152 = e11
% 12.81/3.40 |
% 12.81/3.40 | Equations (539) can reduce 667 to:
% 12.81/3.40 | (404) $false
% 12.81/3.40 |
% 12.81/3.40 |-The branch is then unsatisfiable
% 12.81/3.40 |-Branch two:
% 12.81/3.40 | (667) ~ (all_0_152_152 = e11)
% 12.81/3.40 | (884) all_0_152_152 = e13 | all_0_152_152 = e12 | all_0_152_152 = e10
% 12.81/3.40 |
% 12.81/3.41 +-Applying beta-rule and splitting (884), into two cases.
% 12.81/3.41 |-Branch one:
% 12.81/3.41 | (842) all_0_152_152 = e12
% 12.81/3.41 |
% 12.81/3.41 | Equations (842) can reduce 202 to:
% 12.81/3.41 | (650) ~ (all_0_147_147 = e12)
% 12.81/3.41 |
% 13.08/3.41 | Equations (842) can reduce 195 to:
% 13.08/3.41 | (827) ~ (all_0_151_151 = e12)
% 13.08/3.41 |
% 13.08/3.41 | Equations (842) can reduce 494 to:
% 13.08/3.41 | (888) ~ (e13 = e12)
% 13.08/3.41 |
% 13.08/3.41 | Simplifying 888 yields:
% 13.08/3.41 | (247) ~ (e13 = e12)
% 13.08/3.41 |
% 13.08/3.41 | From (842)(842) and (321) follows:
% 13.08/3.41 | (890) op1(e12, e12) = all_0_123_123
% 13.08/3.41 |
% 13.08/3.41 +-Applying beta-rule and splitting (170), into two cases.
% 13.08/3.41 |-Branch one:
% 13.08/3.41 | (829) all_0_142_142 = e12
% 13.08/3.41 |
% 13.08/3.41 | Combining equations (829,499) yields a new equation:
% 13.08/3.41 | (892) all_0_125_125 = e12
% 13.08/3.41 |
% 13.08/3.41 | Equations (829) can reduce 676 to:
% 13.08/3.41 | (5) ~ (e12 = e10)
% 13.08/3.41 |
% 13.08/3.41 | From (829)(829) and (367) follows:
% 13.08/3.41 | (894) op1(e12, e12) = all_0_116_116
% 13.08/3.41 |
% 13.08/3.41 +-Applying beta-rule and splitting (122), into two cases.
% 13.08/3.41 |-Branch one:
% 13.08/3.41 | (895) all_0_142_142 = e10
% 13.08/3.41 |
% 13.08/3.41 | Combining equations (895,829) yields a new equation:
% 13.08/3.41 | (560) e12 = e10
% 13.08/3.41 |
% 13.08/3.41 | Equations (560) can reduce 5 to:
% 13.08/3.41 | (404) $false
% 13.08/3.41 |
% 13.08/3.41 |-The branch is then unsatisfiable
% 13.08/3.41 |-Branch two:
% 13.08/3.41 | (676) ~ (all_0_142_142 = e10)
% 13.08/3.41 | (899) all_0_149_149 = e10 | all_0_151_151 = e10
% 13.08/3.41 |
% 13.08/3.41 +-Applying beta-rule and splitting (13), into two cases.
% 13.08/3.41 |-Branch one:
% 13.08/3.41 | (900) all_0_151_151 = e10
% 13.08/3.41 |
% 13.08/3.41 | From (900)(900) and (220) follows:
% 13.08/3.41 | (901) op1(e10, e10) = all_0_119_119
% 13.08/3.41 |
% 13.08/3.41 +-Applying beta-rule and splitting (210), into two cases.
% 13.08/3.41 |-Branch one:
% 13.08/3.41 | (736) all_0_142_142 = e13
% 13.08/3.41 |
% 13.08/3.41 | Combining equations (829,736) yields a new equation:
% 13.08/3.41 | (568) e13 = e12
% 13.08/3.41 |
% 13.08/3.41 | Equations (568) can reduce 247 to:
% 13.08/3.41 | (404) $false
% 13.08/3.41 |
% 13.08/3.41 |-The branch is then unsatisfiable
% 13.08/3.41 |-Branch two:
% 13.08/3.41 | (819) ~ (all_0_142_142 = e13)
% 13.08/3.41 | (820) all_0_143_143 = e13 | all_0_144_144 = e13
% 13.08/3.41 |
% 13.08/3.41 +-Applying beta-rule and splitting (820), into two cases.
% 13.08/3.41 |-Branch one:
% 13.08/3.41 | (814) all_0_143_143 = e13
% 13.08/3.41 |
% 13.08/3.41 | Equations (814) can reduce 358 to:
% 13.08/3.41 | (908) ~ (all_0_147_147 = e13)
% 13.08/3.41 |
% 13.08/3.41 | Simplifying 908 yields:
% 13.08/3.41 | (909) ~ (all_0_147_147 = e13)
% 13.08/3.41 |
% 13.08/3.41 +-Applying beta-rule and splitting (341), into two cases.
% 13.08/3.41 |-Branch one:
% 13.08/3.41 | (530) all_0_147_147 = e11
% 13.08/3.41 |
% 13.08/3.41 | Equations (530) can reduce 193 to:
% 13.08/3.41 | (238) ~ (e11 = e10)
% 13.08/3.41 |
% 13.08/3.41 | From (530) and (292) follows:
% 13.08/3.41 | (912) op1(e12, e12) = e11
% 13.08/3.41 |
% 13.08/3.41 | Instantiating formula (133) with e12, e12, all_0_123_123, all_0_116_116 and discharging atoms op1(e12, e12) = all_0_116_116, op1(e12, e12) = all_0_123_123, yields:
% 13.08/3.41 | (913) all_0_116_116 = all_0_123_123
% 13.08/3.41 |
% 13.08/3.41 | Instantiating formula (133) with e12, e12, e11, all_0_116_116 and discharging atoms op1(e12, e12) = all_0_116_116, op1(e12, e12) = e11, yields:
% 13.08/3.41 | (914) all_0_116_116 = e11
% 13.08/3.41 |
% 13.08/3.41 | Instantiating formula (133) with e10, e10, all_0_119_119, e11 and discharging atoms op1(e10, e10) = all_0_119_119, op1(e10, e10) = e11, yields:
% 13.08/3.41 | (915) all_0_119_119 = e11
% 13.08/3.41 |
% 13.08/3.41 | Combining equations (914,913) yields a new equation:
% 13.08/3.41 | (763) all_0_123_123 = e11
% 13.08/3.41 |
% 13.08/3.41 +-Applying beta-rule and splitting (103), into two cases.
% 13.08/3.41 |-Branch one:
% 13.08/3.41 | (545) (all_0_116_116 = e13 & all_0_117_117 = e12 & all_0_118_118 = e11 & all_0_119_119 = e10) | (all_0_120_120 = e13 & all_0_121_121 = e12 & all_0_122_122 = e11 & all_0_123_123 = e10) | (all_0_124_124 = e13 & all_0_125_125 = e10 & all_0_147_147 = e11 & all_0_154_154 = e12)
% 13.08/3.41 |
% 13.08/3.41 +-Applying beta-rule and splitting (545), into two cases.
% 13.08/3.41 |-Branch one:
% 13.08/3.41 | (546) (all_0_116_116 = e13 & all_0_117_117 = e12 & all_0_118_118 = e11 & all_0_119_119 = e10) | (all_0_120_120 = e13 & all_0_121_121 = e12 & all_0_122_122 = e11 & all_0_123_123 = e10)
% 13.08/3.41 |
% 13.08/3.41 +-Applying beta-rule and splitting (546), into two cases.
% 13.08/3.41 |-Branch one:
% 13.08/3.41 | (547) all_0_116_116 = e13 & all_0_117_117 = e12 & all_0_118_118 = e11 & all_0_119_119 = e10
% 13.08/3.41 |
% 13.08/3.41 | Applying alpha-rule on (547) yields:
% 13.08/3.41 | (548) all_0_116_116 = e13
% 13.08/3.41 | (549) all_0_117_117 = e12
% 13.08/3.41 | (550) all_0_118_118 = e11
% 13.08/3.41 | (551) all_0_119_119 = e10
% 13.08/3.41 |
% 13.08/3.41 | Combining equations (551,915) yields a new equation:
% 13.08/3.41 | (518) e11 = e10
% 13.08/3.41 |
% 13.08/3.41 | Equations (518) can reduce 238 to:
% 13.08/3.41 | (404) $false
% 13.08/3.41 |
% 13.08/3.41 |-The branch is then unsatisfiable
% 13.08/3.41 |-Branch two:
% 13.08/3.41 | (554) all_0_120_120 = e13 & all_0_121_121 = e12 & all_0_122_122 = e11 & all_0_123_123 = e10
% 13.08/3.41 |
% 13.08/3.41 | Applying alpha-rule on (554) yields:
% 13.08/3.41 | (555) all_0_120_120 = e13
% 13.08/3.41 | (556) all_0_121_121 = e12
% 13.08/3.41 | (557) all_0_122_122 = e11
% 13.08/3.41 | (558) all_0_123_123 = e10
% 13.08/3.41 |
% 13.08/3.41 | Combining equations (558,763) yields a new equation:
% 13.08/3.41 | (518) e11 = e10
% 13.08/3.41 |
% 13.08/3.41 | Equations (518) can reduce 238 to:
% 13.08/3.41 | (404) $false
% 13.08/3.41 |
% 13.08/3.41 |-The branch is then unsatisfiable
% 13.08/3.41 |-Branch two:
% 13.08/3.41 | (562) all_0_124_124 = e13 & all_0_125_125 = e10 & all_0_147_147 = e11 & all_0_154_154 = e12
% 13.08/3.41 |
% 13.08/3.41 | Applying alpha-rule on (562) yields:
% 13.08/3.41 | (563) all_0_124_124 = e13
% 13.08/3.41 | (564) all_0_125_125 = e10
% 13.08/3.41 | (530) all_0_147_147 = e11
% 13.08/3.41 | (566) all_0_154_154 = e12
% 13.08/3.41 |
% 13.08/3.41 | Combining equations (892,564) yields a new equation:
% 13.08/3.41 | (559) e12 = e10
% 13.08/3.41 |
% 13.08/3.41 | Simplifying 559 yields:
% 13.08/3.41 | (560) e12 = e10
% 13.08/3.41 |
% 13.08/3.41 | Combining equations (666,566) yields a new equation:
% 13.08/3.41 | (552) e12 = e11
% 13.08/3.41 |
% 13.08/3.41 | Combining equations (560,552) yields a new equation:
% 13.08/3.41 | (518) e11 = e10
% 13.08/3.41 |
% 13.08/3.41 | Equations (518) can reduce 238 to:
% 13.08/3.41 | (404) $false
% 13.08/3.41 |
% 13.08/3.41 |-The branch is then unsatisfiable
% 13.08/3.41 |-Branch two:
% 13.08/3.41 | (570) all_0_126_126 = e13 & all_0_127_127 = e12 & all_0_128_128 = e10 & all_0_142_142 = e11
% 13.08/3.41 |
% 13.08/3.41 | Applying alpha-rule on (570) yields:
% 13.08/3.41 | (571) all_0_126_126 = e13
% 13.08/3.41 | (507) all_0_127_127 = e12
% 13.08/3.41 | (573) all_0_128_128 = e10
% 13.08/3.41 | (574) all_0_142_142 = e11
% 13.08/3.41 |
% 13.08/3.41 | Combining equations (680,573) yields a new equation:
% 13.08/3.41 | (559) e12 = e10
% 13.08/3.41 |
% 13.08/3.41 | Simplifying 559 yields:
% 13.08/3.41 | (560) e12 = e10
% 13.08/3.41 |
% 13.08/3.41 | Combining equations (574,829) yields a new equation:
% 13.08/3.41 | (552) e12 = e11
% 13.08/3.41 |
% 13.08/3.41 | Combining equations (560,552) yields a new equation:
% 13.08/3.41 | (518) e11 = e10
% 13.08/3.41 |
% 13.08/3.41 | Equations (518) can reduce 238 to:
% 13.08/3.41 | (404) $false
% 13.08/3.41 |
% 13.08/3.41 |-The branch is then unsatisfiable
% 13.08/3.41 |-Branch two:
% 13.08/3.41 | (504) ~ (all_0_147_147 = e11)
% 13.08/3.41 | (705) all_0_147_147 = e13 | all_0_147_147 = e12
% 13.08/3.41 |
% 13.08/3.41 +-Applying beta-rule and splitting (340), into two cases.
% 13.08/3.41 |-Branch one:
% 13.08/3.41 | (718) all_0_146_146 = e13
% 13.08/3.41 |
% 13.08/3.41 | Equations (718) can reduce 379 to:
% 13.08/3.41 | (908) ~ (all_0_147_147 = e13)
% 13.08/3.41 |
% 13.08/3.41 | Simplifying 908 yields:
% 13.08/3.41 | (909) ~ (all_0_147_147 = e13)
% 13.08/3.41 |
% 13.08/3.41 +-Applying beta-rule and splitting (705), into two cases.
% 13.08/3.41 |-Branch one:
% 13.08/3.41 | (837) all_0_147_147 = e12
% 13.08/3.41 |
% 13.08/3.41 | Equations (837) can reduce 650 to:
% 13.08/3.41 | (404) $false
% 13.08/3.41 |
% 13.08/3.41 |-The branch is then unsatisfiable
% 13.08/3.41 |-Branch two:
% 13.08/3.41 | (650) ~ (all_0_147_147 = e12)
% 13.08/3.41 | (722) all_0_147_147 = e13
% 13.08/3.41 |
% 13.08/3.41 | Equations (722) can reduce 909 to:
% 13.08/3.41 | (404) $false
% 13.08/3.41 |
% 13.08/3.41 |-The branch is then unsatisfiable
% 13.08/3.41 |-Branch two:
% 13.08/3.41 | (721) ~ (all_0_146_146 = e13)
% 13.08/3.41 | (722) all_0_147_147 = e13
% 13.08/3.41 |
% 13.08/3.41 | Equations (722) can reduce 909 to:
% 13.08/3.41 | (404) $false
% 13.08/3.41 |
% 13.08/3.41 |-The branch is then unsatisfiable
% 13.08/3.41 |-Branch two:
% 13.08/3.41 | (724) ~ (all_0_143_143 = e13)
% 13.08/3.41 | (824) all_0_144_144 = e13
% 13.08/3.41 |
% 13.08/3.41 | Combining equations (482,824) yields a new equation:
% 13.08/3.41 | (719) e13 = e11
% 13.08/3.41 |
% 13.08/3.41 | Equations (719) can reduce 351 to:
% 13.08/3.41 | (404) $false
% 13.08/3.41 |
% 13.08/3.41 |-The branch is then unsatisfiable
% 13.08/3.41 |-Branch two:
% 13.08/3.41 | (970) ~ (all_0_151_151 = e10)
% 13.08/3.41 | (971) all_0_152_152 = e10 | all_0_154_154 = e10
% 13.08/3.41 |
% 13.08/3.41 +-Applying beta-rule and splitting (352), into two cases.
% 13.08/3.41 |-Branch one:
% 13.08/3.41 | (509) all_0_149_149 = e11
% 13.08/3.41 |
% 13.08/3.41 | Equations (509) can reduce 520 to:
% 13.08/3.41 | (238) ~ (e11 = e10)
% 13.08/3.41 |
% 13.08/3.41 +-Applying beta-rule and splitting (899), into two cases.
% 13.08/3.41 |-Branch one:
% 13.08/3.41 | (516) all_0_149_149 = e10
% 13.08/3.41 |
% 13.08/3.41 | Combining equations (509,516) yields a new equation:
% 13.08/3.41 | (517) e11 = e10
% 13.08/3.41 |
% 13.08/3.41 | Simplifying 517 yields:
% 13.08/3.41 | (518) e11 = e10
% 13.08/3.41 |
% 13.08/3.41 | Equations (518) can reduce 238 to:
% 13.08/3.41 | (404) $false
% 13.08/3.41 |
% 13.08/3.41 |-The branch is then unsatisfiable
% 13.08/3.41 |-Branch two:
% 13.08/3.41 | (520) ~ (all_0_149_149 = e10)
% 13.08/3.41 | (900) all_0_151_151 = e10
% 13.08/3.41 |
% 13.08/3.41 | Equations (900) can reduce 970 to:
% 13.08/3.41 | (404) $false
% 13.08/3.41 |
% 13.08/3.41 |-The branch is then unsatisfiable
% 13.08/3.41 |-Branch two:
% 13.08/3.41 | (576) ~ (all_0_149_149 = e11)
% 13.08/3.41 | (534) all_0_150_150 = e11
% 13.08/3.41 |
% 13.08/3.41 | Combining equations (521,534) yields a new equation:
% 13.08/3.41 | (518) e11 = e10
% 13.08/3.41 |
% 13.08/3.41 | Equations (518) can reduce 238 to:
% 13.08/3.41 | (404) $false
% 13.08/3.41 |
% 13.08/3.41 |-The branch is then unsatisfiable
% 13.08/3.41 |-Branch two:
% 13.08/3.41 | (855) ~ (all_0_142_142 = e12)
% 13.08/3.41 | (856) all_0_146_146 = e12 | all_0_151_151 = e12
% 13.08/3.41 |
% 13.08/3.41 +-Applying beta-rule and splitting (856), into two cases.
% 13.08/3.41 |-Branch one:
% 13.08/3.41 | (857) all_0_146_146 = e12
% 13.08/3.42 |
% 13.08/3.42 | Equations (857) can reduce 649 to:
% 13.08/3.42 | (404) $false
% 13.08/3.42 |
% 13.08/3.42 |-The branch is then unsatisfiable
% 13.08/3.42 |-Branch two:
% 13.08/3.42 | (649) ~ (all_0_146_146 = e12)
% 13.08/3.42 | (730) all_0_151_151 = e12
% 13.08/3.42 |
% 13.08/3.42 | Equations (730) can reduce 827 to:
% 13.08/3.42 | (404) $false
% 13.08/3.42 |
% 13.08/3.42 |-The branch is then unsatisfiable
% 13.08/3.42 |-Branch two:
% 13.08/3.42 | (992) ~ (all_0_152_152 = e12)
% 13.08/3.42 | (993) all_0_152_152 = e13 | all_0_152_152 = e10
% 13.08/3.42 |
% 13.08/3.42 +-Applying beta-rule and splitting (993), into two cases.
% 13.08/3.42 |-Branch one:
% 13.08/3.42 | (994) all_0_152_152 = e13
% 13.08/3.42 |
% 13.08/3.42 | Equations (994) can reduce 494 to:
% 13.08/3.42 | (404) $false
% 13.08/3.42 |
% 13.08/3.42 |-The branch is then unsatisfiable
% 13.08/3.42 |-Branch two:
% 13.08/3.42 | (494) ~ (all_0_152_152 = e13)
% 13.08/3.42 | (745) all_0_152_152 = e10
% 13.08/3.42 |
% 13.08/3.42 | Equations (745) can reduce 878 to:
% 13.08/3.42 | (404) $false
% 13.08/3.42 |
% 13.08/3.42 |-The branch is then unsatisfiable
% 13.08/3.42 |-Branch two:
% 13.08/3.42 | (999) ~ (all_0_144_144 = e11)
% 13.08/3.42 | (490) all_0_153_153 = e11
% 13.08/3.42 |
% 13.08/3.42 | Equations (490) can reduce 100 to:
% 13.08/3.42 | (999) ~ (all_0_144_144 = e11)
% 13.08/3.42 |
% 13.08/3.42 | Equations (490) can reduce 30 to:
% 13.08/3.42 | (1002) ~ (all_0_154_154 = e11)
% 13.08/3.42 |
% 13.08/3.42 | Simplifying 1002 yields:
% 13.08/3.42 | (1003) ~ (all_0_154_154 = e11)
% 13.08/3.42 |
% 13.08/3.42 | From (490)(490) and (107) follows:
% 13.08/3.42 | (1004) op1(e11, e11) = all_0_125_125
% 13.08/3.42 |
% 13.08/3.42 | From (490) and (334) follows:
% 13.08/3.42 | (1005) h2(e11) = all_0_67_67
% 13.08/3.42 |
% 13.08/3.42 +-Applying beta-rule and splitting (250), into two cases.
% 13.08/3.42 |-Branch one:
% 13.08/3.42 | (482) all_0_144_144 = e11
% 13.08/3.42 |
% 13.08/3.42 | Equations (482) can reduce 999 to:
% 13.08/3.42 | (404) $false
% 13.08/3.42 |
% 13.08/3.42 |-The branch is then unsatisfiable
% 13.08/3.42 |-Branch two:
% 13.08/3.42 | (999) ~ (all_0_144_144 = e11)
% 13.08/3.42 | (824) all_0_144_144 = e13
% 13.08/3.42 |
% 13.08/3.42 | Equations (824) can reduce 276 to:
% 13.08/3.42 | (724) ~ (all_0_143_143 = e13)
% 13.08/3.42 |
% 13.08/3.42 | Equations (824) can reduce 212 to:
% 13.08/3.42 | (1011) ~ (all_0_145_145 = e13)
% 13.08/3.42 |
% 13.08/3.42 | Simplifying 1011 yields:
% 13.08/3.42 | (293) ~ (all_0_145_145 = e13)
% 13.08/3.42 |
% 13.08/3.42 | Equations (824) can reduce 53 to:
% 13.08/3.42 | (247) ~ (e13 = e12)
% 13.08/3.42 |
% 13.08/3.42 | From (824) and (211) follows:
% 13.08/3.42 | (1014) h2(e13) = all_0_58_58
% 13.08/3.42 |
% 13.08/3.42 | Instantiating formula (133) with e11, e11, all_0_125_125, e12 and discharging atoms op1(e11, e11) = all_0_125_125, op1(e11, e11) = e12, yields:
% 13.08/3.42 | (892) all_0_125_125 = e12
% 13.08/3.42 |
% 13.08/3.42 | Instantiating formula (283) with e13, all_0_58_58, e23 and discharging atoms h2(e13) = all_0_58_58, h2(e13) = e23, yields:
% 13.08/3.42 | (1016) all_0_58_58 = e23
% 13.08/3.42 |
% 13.08/3.42 | Instantiating formula (283) with e11, all_0_67_67, e21 and discharging atoms h2(e11) = all_0_67_67, h2(e11) = e21, yields:
% 13.08/3.42 | (1017) all_0_67_67 = e21
% 13.08/3.42 |
% 13.08/3.42 | From (892) and (1004) follows:
% 13.08/3.42 | (112) op1(e11, e11) = e12
% 13.08/3.42 |
% 13.08/3.42 | From (1016) and (1014) follows:
% 13.08/3.42 | (294) h2(e13) = e23
% 13.08/3.42 |
% 13.08/3.42 | From (1017) and (1005) follows:
% 13.08/3.42 | (306) h2(e11) = e21
% 13.08/3.42 |
% 13.08/3.42 +-Applying beta-rule and splitting (134), into two cases.
% 13.08/3.42 |-Branch one:
% 13.08/3.42 | (1021) all_0_132_132 = e20
% 13.08/3.42 |
% 13.08/3.42 | Equations (1021) can reduce 175 to:
% 13.08/3.42 | (1022) ~ (all_0_130_130 = e20)
% 13.08/3.42 |
% 13.08/3.42 | Equations (1021) can reduce 214 to:
% 13.08/3.42 | (1023) ~ (all_0_141_141 = e20)
% 13.08/3.42 |
% 13.08/3.42 | Simplifying 1023 yields:
% 13.08/3.42 | (1024) ~ (all_0_141_141 = e20)
% 13.08/3.42 |
% 13.08/3.42 | From (1021)(1021) and (457) follows:
% 13.08/3.42 | (1025) op2(e20, e20) = e23
% 13.08/3.42 |
% 13.08/3.42 | From (1021) and (477) follows:
% 13.08/3.42 | (1026) op2(e20, e20) = all_0_6_6
% 13.08/3.42 |
% 13.08/3.42 | From (1021) and (478) follows:
% 13.08/3.42 | (1027) op2(e20, e20) = all_0_20_20
% 13.08/3.42 |
% 13.08/3.42 +-Applying beta-rule and splitting (257), into two cases.
% 13.08/3.42 |-Branch one:
% 13.08/3.42 | (430) all_0_141_141 = e21
% 13.08/3.42 |
% 13.08/3.42 | Equations (430) can reduce 418 to:
% 13.08/3.42 | (404) $false
% 13.08/3.42 |
% 13.08/3.42 |-The branch is then unsatisfiable
% 13.08/3.42 |-Branch two:
% 13.08/3.42 | (418) ~ (all_0_141_141 = e21)
% 13.08/3.42 | (1031) all_0_141_141 = e22 | all_0_141_141 = e20
% 13.08/3.42 |
% 13.08/3.42 +-Applying beta-rule and splitting (46), into two cases.
% 13.08/3.42 |-Branch one:
% 13.08/3.42 | (1032) all_0_130_130 = e21
% 13.08/3.42 |
% 13.08/3.42 | Equations (1032) can reduce 451 to:
% 13.08/3.42 | (404) $false
% 13.08/3.42 |
% 13.08/3.42 |-The branch is then unsatisfiable
% 13.08/3.42 |-Branch two:
% 13.08/3.42 | (451) ~ (all_0_130_130 = e21)
% 13.08/3.42 | (1035) all_0_130_130 = e23 | all_0_130_130 = e22 | all_0_130_130 = e20
% 13.08/3.42 |
% 13.08/3.42 +-Applying beta-rule and splitting (1035), into two cases.
% 13.08/3.42 |-Branch one:
% 13.08/3.42 | (1036) all_0_130_130 = e22
% 13.08/3.42 |
% 13.08/3.42 | Equations (1036) can reduce 93 to:
% 13.08/3.42 | (1037) ~ (all_0_134_134 = e22)
% 13.08/3.42 |
% 13.08/3.42 | Simplifying 1037 yields:
% 13.08/3.42 | (1038) ~ (all_0_134_134 = e22)
% 13.08/3.42 |
% 13.08/3.42 | Equations (1036) can reduce 451 to:
% 13.08/3.42 | (80) ~ (e22 = e21)
% 13.08/3.42 |
% 13.08/3.42 | Equations (1036) can reduce 1022 to:
% 13.08/3.42 | (239) ~ (e22 = e20)
% 13.08/3.42 |
% 13.08/3.42 +-Applying beta-rule and splitting (268), into two cases.
% 13.08/3.42 |-Branch one:
% 13.08/3.42 | (1041) all_0_130_130 = e20
% 13.08/3.42 |
% 13.08/3.42 | Combining equations (1041,1036) yields a new equation:
% 13.08/3.42 | (1042) e22 = e20
% 13.08/3.42 |
% 13.08/3.42 | Equations (1042) can reduce 239 to:
% 13.08/3.42 | (404) $false
% 13.08/3.42 |
% 13.08/3.42 |-The branch is then unsatisfiable
% 13.08/3.42 |-Branch two:
% 13.08/3.42 | (1022) ~ (all_0_130_130 = e20)
% 13.08/3.42 | (1045) all_0_137_137 = e20 | all_0_139_139 = e20
% 13.08/3.42 |
% 13.08/3.42 | Equations (1036) can reduce 1022 to:
% 13.08/3.42 | (239) ~ (e22 = e20)
% 13.08/3.42 |
% 13.08/3.42 +-Applying beta-rule and splitting (35), into two cases.
% 13.08/3.42 |-Branch one:
% 13.08/3.42 | (1047) all_0_138_138 = e20
% 13.08/3.42 |
% 13.08/3.42 | Equations (1047) can reduce 409 to:
% 13.08/3.42 | (404) $false
% 13.08/3.42 |
% 13.08/3.42 |-The branch is then unsatisfiable
% 13.08/3.42 |-Branch two:
% 13.08/3.42 | (409) ~ (all_0_138_138 = e20)
% 13.08/3.42 | (1050) all_0_139_139 = e20 | all_0_141_141 = e20
% 13.08/3.42 |
% 13.08/3.42 +-Applying beta-rule and splitting (265), into two cases.
% 13.08/3.42 |-Branch one:
% 13.08/3.42 | (1051) all_0_132_132 = e22
% 13.08/3.42 |
% 13.08/3.42 | Combining equations (1021,1051) yields a new equation:
% 13.08/3.42 | (1042) e22 = e20
% 13.08/3.42 |
% 13.08/3.42 | Equations (1042) can reduce 239 to:
% 13.08/3.42 | (404) $false
% 13.08/3.42 |
% 13.08/3.42 |-The branch is then unsatisfiable
% 13.08/3.42 |-Branch two:
% 13.08/3.42 | (1054) ~ (all_0_132_132 = e22)
% 13.08/3.42 | (1055) all_0_135_135 = e22 | all_0_141_141 = e22
% 13.08/3.42 |
% 13.08/3.42 +-Applying beta-rule and splitting (1050), into two cases.
% 13.08/3.42 |-Branch one:
% 13.08/3.42 | (1056) all_0_139_139 = e20
% 13.08/3.42 |
% 13.08/3.42 | Equations (1056) can reduce 87 to:
% 13.08/3.42 | (409) ~ (all_0_138_138 = e20)
% 13.08/3.42 |
% 13.08/3.42 +-Applying beta-rule and splitting (1055), into two cases.
% 13.08/3.42 |-Branch one:
% 13.08/3.42 | (1058) all_0_135_135 = e22
% 13.08/3.42 |
% 13.08/3.42 | Combining equations (463,1058) yields a new equation:
% 13.08/3.42 | (437) e22 = e21
% 13.08/3.42 |
% 13.08/3.42 | Equations (437) can reduce 80 to:
% 13.08/3.42 | (404) $false
% 13.08/3.42 |
% 13.08/3.42 |-The branch is then unsatisfiable
% 13.08/3.42 |-Branch two:
% 13.08/3.42 | (1061) ~ (all_0_135_135 = e22)
% 13.08/3.42 | (443) all_0_141_141 = e22
% 13.08/3.42 |
% 13.08/3.42 | Equations (443) can reduce 337 to:
% 13.08/3.42 | (1063) ~ (all_0_138_138 = e22)
% 13.08/3.42 |
% 13.08/3.42 | Equations (443) can reduce 418 to:
% 13.08/3.42 | (80) ~ (e22 = e21)
% 13.08/3.42 |
% 13.08/3.42 | From (443)(443) and (458) follows:
% 13.08/3.42 | (1065) op2(e22, e22) = e20
% 13.08/3.42 |
% 13.08/3.42 | From (443) and (286) follows:
% 13.08/3.42 | (1066) op2(e20, e20) = e22
% 13.08/3.42 |
% 13.08/3.42 +-Applying beta-rule and splitting (382), into two cases.
% 13.08/3.42 |-Branch one:
% 13.08/3.42 | (1067) all_0_138_138 = e21
% 13.08/3.42 |
% 13.08/3.42 | Equations (1067) can reduce 455 to:
% 13.08/3.42 | (404) $false
% 13.08/3.42 |
% 13.08/3.42 |-The branch is then unsatisfiable
% 13.08/3.42 |-Branch two:
% 13.08/3.42 | (455) ~ (all_0_138_138 = e21)
% 13.08/3.42 | (1070) all_0_138_138 = e23 | all_0_138_138 = e22 | all_0_138_138 = e20
% 13.08/3.42 |
% 13.08/3.42 +-Applying beta-rule and splitting (1070), into two cases.
% 13.08/3.42 |-Branch one:
% 13.08/3.42 | (1071) all_0_138_138 = e22
% 13.08/3.42 |
% 13.08/3.42 | Equations (1071) can reduce 1063 to:
% 13.08/3.42 | (404) $false
% 13.08/3.42 |
% 13.08/3.42 |-The branch is then unsatisfiable
% 13.08/3.42 |-Branch two:
% 13.08/3.42 | (1063) ~ (all_0_138_138 = e22)
% 13.08/3.42 | (1074) all_0_138_138 = e23 | all_0_138_138 = e20
% 13.08/3.42 |
% 13.08/3.42 +-Applying beta-rule and splitting (1074), into two cases.
% 13.08/3.42 |-Branch one:
% 13.08/3.42 | (1075) all_0_138_138 = e23
% 13.08/3.42 |
% 13.08/3.42 | Equations (1075) can reduce 240 to:
% 13.08/3.42 | (1076) ~ (all_0_133_133 = e23)
% 13.08/3.42 |
% 13.08/3.42 +-Applying beta-rule and splitting (49), into two cases.
% 13.08/3.42 |-Branch one:
% 13.08/3.42 | (1077) all_0_133_133 = e23
% 13.08/3.42 |
% 13.08/3.42 | Equations (1077) can reduce 1076 to:
% 13.08/3.42 | (404) $false
% 13.08/3.42 |
% 13.08/3.42 |-The branch is then unsatisfiable
% 13.08/3.42 |-Branch two:
% 13.08/3.42 | (1076) ~ (all_0_133_133 = e23)
% 13.08/3.42 | (1080) all_0_134_134 = e23
% 13.08/3.43 |
% 13.08/3.43 | Equations (1080) can reduce 1038 to:
% 13.08/3.43 | (360) ~ (e23 = e22)
% 13.08/3.43 |
% 13.08/3.43 | From (1080) and (188) follows:
% 13.08/3.43 | (1082) op2(e22, e22) = e23
% 13.08/3.43 |
% 13.08/3.43 +-Applying beta-rule and splitting (113), into two cases.
% 13.08/3.43 |-Branch one:
% 13.08/3.43 | (1083) all_0_133_133 = e22
% 13.08/3.43 |
% 13.08/3.43 | Equations (1083) can reduce 187 to:
% 13.08/3.43 | (239) ~ (e22 = e20)
% 13.08/3.43 |
% 13.08/3.43 | Instantiating formula (236) with e22, e22, e20, e23 and discharging atoms op2(e22, e22) = e23, op2(e22, e22) = e20, yields:
% 13.08/3.43 | (1085) e23 = e20
% 13.08/3.43 |
% 13.08/3.43 | Instantiating formula (236) with e20, e20, all_0_20_20, all_0_6_6 and discharging atoms op2(e20, e20) = all_0_6_6, op2(e20, e20) = all_0_20_20, yields:
% 13.08/3.43 | (1086) all_0_6_6 = all_0_20_20
% 13.08/3.43 |
% 13.08/3.43 | Instantiating formula (236) with e20, e20, e23, all_0_6_6 and discharging atoms op2(e20, e20) = all_0_6_6, op2(e20, e20) = e23, yields:
% 13.08/3.43 | (1087) all_0_6_6 = e23
% 13.08/3.43 |
% 13.08/3.43 | Instantiating formula (236) with e20, e20, e22, all_0_20_20 and discharging atoms op2(e20, e20) = all_0_20_20, op2(e20, e20) = e22, yields:
% 13.08/3.43 | (1088) all_0_20_20 = e22
% 13.08/3.43 |
% 13.08/3.43 | Combining equations (1086,1087) yields a new equation:
% 13.08/3.43 | (1089) all_0_20_20 = e23
% 13.08/3.43 |
% 13.08/3.43 | Simplifying 1089 yields:
% 13.08/3.43 | (1090) all_0_20_20 = e23
% 13.08/3.43 |
% 13.08/3.43 | Combining equations (1090,1088) yields a new equation:
% 13.08/3.43 | (1091) e23 = e22
% 13.08/3.43 |
% 13.08/3.43 | Simplifying 1091 yields:
% 13.08/3.43 | (1092) e23 = e22
% 13.08/3.43 |
% 13.08/3.43 | Combining equations (1085,1092) yields a new equation:
% 13.08/3.43 | (1042) e22 = e20
% 13.08/3.43 |
% 13.08/3.43 | Equations (1042) can reduce 239 to:
% 13.08/3.43 | (404) $false
% 13.08/3.43 |
% 13.08/3.43 |-The branch is then unsatisfiable
% 13.08/3.43 |-Branch two:
% 13.08/3.43 | (1095) ~ (all_0_133_133 = e22)
% 13.08/3.43 | (1096) all_0_134_134 = e22 | all_0_135_135 = e22
% 13.08/3.43 |
% 13.08/3.43 +-Applying beta-rule and splitting (19), into two cases.
% 13.08/3.43 |-Branch one:
% 13.08/3.43 | (1097) all_0_129_129 = e22
% 13.08/3.43 |
% 13.08/3.43 | Combining equations (449,1097) yields a new equation:
% 13.08/3.43 | (437) e22 = e21
% 13.08/3.43 |
% 13.08/3.43 | Equations (437) can reduce 80 to:
% 13.08/3.43 | (404) $false
% 13.08/3.43 |
% 13.08/3.43 |-The branch is then unsatisfiable
% 13.08/3.43 |-Branch two:
% 13.08/3.43 | (1100) ~ (all_0_129_129 = e22)
% 13.08/3.43 | (1101) all_0_133_133 = e22 | all_0_138_138 = e22
% 13.08/3.43 |
% 13.08/3.43 +-Applying beta-rule and splitting (1101), into two cases.
% 13.08/3.43 |-Branch one:
% 13.08/3.43 | (1083) all_0_133_133 = e22
% 13.08/3.43 |
% 13.08/3.43 | Equations (1083) can reduce 1095 to:
% 13.08/3.43 | (404) $false
% 13.08/3.43 |
% 13.08/3.43 |-The branch is then unsatisfiable
% 13.08/3.43 |-Branch two:
% 13.08/3.43 | (1095) ~ (all_0_133_133 = e22)
% 13.08/3.43 | (1071) all_0_138_138 = e22
% 13.08/3.43 |
% 13.08/3.43 | Combining equations (1071,1075) yields a new equation:
% 13.08/3.43 | (1092) e23 = e22
% 13.08/3.43 |
% 13.08/3.43 | Equations (1092) can reduce 360 to:
% 13.08/3.43 | (404) $false
% 13.08/3.43 |
% 13.08/3.43 |-The branch is then unsatisfiable
% 13.08/3.43 |-Branch two:
% 13.08/3.43 | (1108) ~ (all_0_138_138 = e23)
% 13.08/3.43 | (1047) all_0_138_138 = e20
% 13.08/3.43 |
% 13.08/3.43 | Equations (1047) can reduce 409 to:
% 13.08/3.43 | (404) $false
% 13.08/3.43 |
% 13.08/3.43 |-The branch is then unsatisfiable
% 13.08/3.43 |-Branch two:
% 13.08/3.43 | (1111) ~ (all_0_139_139 = e20)
% 13.08/3.43 | (1112) all_0_141_141 = e20
% 13.08/3.43 |
% 13.08/3.43 | Equations (1112) can reduce 1024 to:
% 13.08/3.43 | (404) $false
% 13.08/3.43 |
% 13.08/3.43 |-The branch is then unsatisfiable
% 13.08/3.43 |-Branch two:
% 13.08/3.43 | (1114) ~ (all_0_130_130 = e22)
% 13.08/3.43 | (1115) all_0_130_130 = e23 | all_0_130_130 = e20
% 13.08/3.43 |
% 13.08/3.43 +-Applying beta-rule and splitting (1115), into two cases.
% 13.08/3.43 |-Branch one:
% 13.08/3.43 | (1116) all_0_130_130 = e23
% 13.08/3.43 |
% 13.08/3.43 | Equations (1116) can reduce 422 to:
% 13.08/3.43 | (404) $false
% 13.08/3.43 |
% 13.08/3.43 |-The branch is then unsatisfiable
% 13.08/3.43 |-Branch two:
% 13.08/3.43 | (422) ~ (all_0_130_130 = e23)
% 13.08/3.43 | (1041) all_0_130_130 = e20
% 13.08/3.43 |
% 13.08/3.43 | Equations (1041) can reduce 1022 to:
% 13.08/3.43 | (404) $false
% 13.08/3.43 |
% 13.08/3.43 |-The branch is then unsatisfiable
% 13.08/3.43 |-Branch two:
% 13.08/3.43 | (1121) ~ (all_0_132_132 = e20)
% 13.08/3.43 | (1112) all_0_141_141 = e20
% 13.08/3.43 |
% 13.08/3.43 | Equations (1112) can reduce 214 to:
% 13.08/3.43 | (1121) ~ (all_0_132_132 = e20)
% 13.08/3.43 |
% 13.08/3.43 +-Applying beta-rule and splitting (241), into two cases.
% 13.08/3.43 |-Branch one:
% 13.08/3.43 | (459) all_0_132_132 = e21
% 13.08/3.43 |
% 13.08/3.43 | Equations (459) can reduce 453 to:
% 13.08/3.43 | (404) $false
% 13.08/3.43 |
% 13.08/3.43 |-The branch is then unsatisfiable
% 13.08/3.43 |-Branch two:
% 13.08/3.43 | (453) ~ (all_0_132_132 = e21)
% 13.08/3.43 | (1127) all_0_132_132 = e22 | all_0_132_132 = e20
% 13.08/3.43 |
% 13.08/3.43 +-Applying beta-rule and splitting (1127), into two cases.
% 13.08/3.43 |-Branch one:
% 13.08/3.43 | (1051) all_0_132_132 = e22
% 13.08/3.43 |
% 13.08/3.43 | Equations (1051) can reduce 175 to:
% 13.08/3.43 | (1114) ~ (all_0_130_130 = e22)
% 13.08/3.43 |
% 13.08/3.43 | From (1051)(1051) and (457) follows:
% 13.08/3.43 | (1082) op2(e22, e22) = e23
% 13.08/3.43 |
% 13.08/3.43 +-Applying beta-rule and splitting (46), into two cases.
% 13.08/3.43 |-Branch one:
% 13.08/3.43 | (1032) all_0_130_130 = e21
% 13.08/3.43 |
% 13.08/3.43 | Equations (1032) can reduce 451 to:
% 13.08/3.43 | (404) $false
% 13.08/3.43 |
% 13.08/3.43 |-The branch is then unsatisfiable
% 13.08/3.43 |-Branch two:
% 13.08/3.43 | (451) ~ (all_0_130_130 = e21)
% 13.08/3.43 | (1035) all_0_130_130 = e23 | all_0_130_130 = e22 | all_0_130_130 = e20
% 13.08/3.43 |
% 13.08/3.43 +-Applying beta-rule and splitting (1035), into two cases.
% 13.08/3.43 |-Branch one:
% 13.08/3.43 | (1036) all_0_130_130 = e22
% 13.08/3.43 |
% 13.08/3.43 | Equations (1036) can reduce 1114 to:
% 13.08/3.43 | (404) $false
% 13.08/3.43 |
% 13.08/3.43 |-The branch is then unsatisfiable
% 13.08/3.43 |-Branch two:
% 13.08/3.43 | (1114) ~ (all_0_130_130 = e22)
% 13.08/3.43 | (1115) all_0_130_130 = e23 | all_0_130_130 = e20
% 13.08/3.43 |
% 13.08/3.43 +-Applying beta-rule and splitting (1115), into two cases.
% 13.08/3.43 |-Branch one:
% 13.08/3.43 | (1116) all_0_130_130 = e23
% 13.08/3.43 |
% 13.08/3.43 | Equations (1116) can reduce 422 to:
% 13.08/3.43 | (404) $false
% 13.08/3.43 |
% 13.08/3.43 |-The branch is then unsatisfiable
% 13.08/3.43 |-Branch two:
% 13.08/3.43 | (422) ~ (all_0_130_130 = e23)
% 13.08/3.43 | (1041) all_0_130_130 = e20
% 13.08/3.43 |
% 13.08/3.43 | Instantiating formula (236) with e22, e22, e23, all_0_134_134 and discharging atoms op2(e22, e22) = all_0_134_134, op2(e22, e22) = e23, yields:
% 13.08/3.43 | (1080) all_0_134_134 = e23
% 13.08/3.43 |
% 13.08/3.43 | Equations (1080) can reduce 290 to:
% 13.08/3.43 | (1144) ~ (all_0_139_139 = e23)
% 13.08/3.43 |
% 13.08/3.43 | Simplifying 1144 yields:
% 13.08/3.43 | (1145) ~ (all_0_139_139 = e23)
% 13.08/3.43 |
% 13.08/3.43 | Equations (1080) can reduce 398 to:
% 13.08/3.43 | (169) ~ (e23 = e21)
% 13.08/3.43 |
% 13.08/3.43 +-Applying beta-rule and splitting (101), into two cases.
% 13.08/3.43 |-Branch one:
% 13.08/3.43 | (1075) all_0_138_138 = e23
% 13.08/3.43 |
% 13.08/3.43 | Equations (1075) can reduce 240 to:
% 13.08/3.43 | (1076) ~ (all_0_133_133 = e23)
% 13.08/3.43 |
% 13.08/3.43 +-Applying beta-rule and splitting (377), into two cases.
% 13.08/3.43 |-Branch one:
% 13.08/3.43 | (1149) all_0_133_133 = e21
% 13.08/3.43 |
% 13.08/3.43 | Equations (1149) can reduce 465 to:
% 13.08/3.43 | (404) $false
% 13.08/3.43 |
% 13.08/3.43 |-The branch is then unsatisfiable
% 13.08/3.43 |-Branch two:
% 13.08/3.43 | (465) ~ (all_0_133_133 = e21)
% 13.08/3.43 | (1152) all_0_133_133 = e23 | all_0_133_133 = e22
% 13.08/3.43 |
% 13.08/3.43 +-Applying beta-rule and splitting (1152), into two cases.
% 13.08/3.43 |-Branch one:
% 13.08/3.43 | (1083) all_0_133_133 = e22
% 13.08/3.43 |
% 13.08/3.43 | Equations (1083) can reduce 1076 to:
% 13.08/3.43 | (1154) ~ (e23 = e22)
% 13.08/3.43 |
% 13.08/3.43 | Simplifying 1154 yields:
% 13.08/3.43 | (360) ~ (e23 = e22)
% 13.08/3.43 |
% 13.08/3.43 | Equations (1083) can reduce 187 to:
% 13.08/3.43 | (239) ~ (e22 = e20)
% 13.08/3.43 |
% 13.08/3.43 +-Applying beta-rule and splitting (38), into two cases.
% 13.08/3.43 |-Branch one:
% 13.08/3.43 | (1036) all_0_130_130 = e22
% 13.08/3.43 |
% 13.08/3.43 | Combining equations (1041,1036) yields a new equation:
% 13.08/3.43 | (1042) e22 = e20
% 13.08/3.43 |
% 13.08/3.43 | Equations (1042) can reduce 239 to:
% 13.08/3.43 | (404) $false
% 13.08/3.43 |
% 13.08/3.43 |-The branch is then unsatisfiable
% 13.08/3.43 |-Branch two:
% 13.08/3.43 | (1114) ~ (all_0_130_130 = e22)
% 13.08/3.43 | (1161) all_0_134_134 = e22 | all_0_139_139 = e22
% 13.08/3.43 |
% 13.08/3.43 | Equations (1041) can reduce 1114 to:
% 13.08/3.43 | (1162) ~ (e22 = e20)
% 13.08/3.43 |
% 13.08/3.43 | Simplifying 1162 yields:
% 13.08/3.43 | (239) ~ (e22 = e20)
% 13.08/3.43 |
% 13.08/3.43 +-Applying beta-rule and splitting (157), into two cases.
% 13.08/3.43 |-Branch one:
% 13.08/3.43 | (1071) all_0_138_138 = e22
% 13.08/3.43 |
% 13.08/3.43 | Combining equations (1075,1071) yields a new equation:
% 13.08/3.43 | (1091) e23 = e22
% 13.08/3.43 |
% 13.08/3.43 | Simplifying 1091 yields:
% 13.08/3.43 | (1092) e23 = e22
% 13.08/3.43 |
% 13.08/3.43 | Equations (1092) can reduce 360 to:
% 13.08/3.43 | (404) $false
% 13.08/3.43 |
% 13.08/3.43 |-The branch is then unsatisfiable
% 13.08/3.43 |-Branch two:
% 13.08/3.43 | (1063) ~ (all_0_138_138 = e22)
% 13.08/3.43 | (1169) all_0_139_139 = e22 | all_0_141_141 = e22
% 13.08/3.43 |
% 13.08/3.43 +-Applying beta-rule and splitting (150), into two cases.
% 13.08/3.43 |-Branch one:
% 13.08/3.43 | (1170) all_0_139_139 = e21
% 13.08/3.43 |
% 13.08/3.44 | Equations (1170) can reduce 416 to:
% 13.08/3.44 | (404) $false
% 13.08/3.44 |
% 13.08/3.44 |-The branch is then unsatisfiable
% 13.08/3.44 |-Branch two:
% 13.08/3.44 | (416) ~ (all_0_139_139 = e21)
% 13.08/3.44 | (1173) all_0_139_139 = e23 | all_0_139_139 = e22 | all_0_139_139 = e20
% 13.08/3.44 |
% 13.08/3.44 +-Applying beta-rule and splitting (1173), into two cases.
% 13.08/3.44 |-Branch one:
% 13.08/3.44 | (1174) all_0_139_139 = e22
% 13.08/3.44 |
% 13.08/3.44 +-Applying beta-rule and splitting (66), into two cases.
% 13.08/3.44 |-Branch one:
% 13.08/3.44 | (534) all_0_150_150 = e11
% 13.08/3.44 |
% 13.08/3.44 | Equations (534) can reduce 62 to:
% 13.08/3.44 | (576) ~ (all_0_149_149 = e11)
% 13.08/3.44 |
% 13.08/3.44 | Equations (534) can reduce 316 to:
% 13.08/3.44 | (687) ~ (all_0_152_152 = e11)
% 13.08/3.44 |
% 13.08/3.44 | Simplifying 687 yields:
% 13.08/3.44 | (667) ~ (all_0_152_152 = e11)
% 13.08/3.44 |
% 13.08/3.44 | Equations (534) can reduce 22 to:
% 13.08/3.44 | (513) ~ (e12 = e11)
% 13.08/3.44 |
% 13.08/3.44 | Simplifying 513 yields:
% 13.08/3.44 | (91) ~ (e12 = e11)
% 13.08/3.44 |
% 13.08/3.44 | From (534)(534) and (185) follows:
% 13.08/3.44 | (581) op1(e11, e11) = all_0_122_122
% 13.08/3.44 |
% 13.08/3.44 | From (534) and (365) follows:
% 13.08/3.44 | (1182) h2(e11) = all_0_64_64
% 13.08/3.44 |
% 13.08/3.44 +-Applying beta-rule and splitting (111), into two cases.
% 13.08/3.44 |-Branch one:
% 13.08/3.44 | (509) all_0_149_149 = e11
% 13.08/3.44 |
% 13.08/3.44 | Equations (509) can reduce 576 to:
% 13.08/3.44 | (404) $false
% 13.08/3.44 |
% 13.08/3.44 |-The branch is then unsatisfiable
% 13.08/3.44 |-Branch two:
% 13.08/3.44 | (576) ~ (all_0_149_149 = e11)
% 13.08/3.44 | (516) all_0_149_149 = e10
% 13.08/3.44 |
% 13.08/3.44 | Equations (516) can reduce 309 to:
% 13.08/3.44 | (522) ~ (e12 = e10)
% 13.08/3.44 |
% 13.08/3.44 | Simplifying 522 yields:
% 13.08/3.44 | (5) ~ (e12 = e10)
% 13.08/3.44 |
% 13.08/3.44 | From (516)(516) and (378) follows:
% 13.08/3.44 | (713) op1(e10, e10) = all_0_118_118
% 13.08/3.44 |
% 13.08/3.44 | From (516) and (328) follows:
% 13.08/3.44 | (1190) h2(e10) = all_0_63_63
% 13.08/3.44 |
% 13.08/3.44 | Instantiating formula (133) with e11, e11, all_0_122_122, e12 and discharging atoms op1(e11, e11) = all_0_122_122, op1(e11, e11) = e12, yields:
% 13.08/3.44 | (601) all_0_122_122 = e12
% 13.08/3.44 |
% 13.08/3.44 | Instantiating formula (133) with e10, e10, all_0_118_118, all_0_154_154 and discharging atoms op1(e10, e10) = all_0_118_118, op1(e10, e10) = all_0_154_154, yields:
% 13.08/3.44 | (1192) all_0_118_118 = all_0_154_154
% 13.08/3.44 |
% 13.08/3.44 | Instantiating formula (283) with e11, all_0_64_64, e21 and discharging atoms h2(e11) = all_0_64_64, h2(e11) = e21, yields:
% 13.08/3.44 | (1193) all_0_64_64 = e21
% 13.08/3.44 |
% 13.08/3.44 | Instantiating formula (283) with e10, all_0_63_63, e20 and discharging atoms h2(e10) = all_0_63_63, h2(e10) = e20, yields:
% 13.08/3.44 | (1194) all_0_63_63 = e20
% 13.08/3.44 |
% 13.08/3.44 | From (1192) and (713) follows:
% 13.08/3.44 | (233) op1(e10, e10) = all_0_154_154
% 13.08/3.44 |
% 13.08/3.44 | From (1193) and (1182) follows:
% 13.08/3.44 | (306) h2(e11) = e21
% 13.08/3.44 |
% 13.08/3.44 | From (1194) and (1190) follows:
% 13.08/3.44 | (196) h2(e10) = e20
% 13.08/3.44 |
% 13.08/3.44 +-Applying beta-rule and splitting (103), into two cases.
% 13.08/3.44 |-Branch one:
% 13.08/3.44 | (545) (all_0_116_116 = e13 & all_0_117_117 = e12 & all_0_118_118 = e11 & all_0_119_119 = e10) | (all_0_120_120 = e13 & all_0_121_121 = e12 & all_0_122_122 = e11 & all_0_123_123 = e10) | (all_0_124_124 = e13 & all_0_125_125 = e10 & all_0_147_147 = e11 & all_0_154_154 = e12)
% 13.08/3.44 |
% 13.08/3.44 +-Applying beta-rule and splitting (545), into two cases.
% 13.08/3.44 |-Branch one:
% 13.08/3.44 | (546) (all_0_116_116 = e13 & all_0_117_117 = e12 & all_0_118_118 = e11 & all_0_119_119 = e10) | (all_0_120_120 = e13 & all_0_121_121 = e12 & all_0_122_122 = e11 & all_0_123_123 = e10)
% 13.08/3.44 |
% 13.08/3.44 +-Applying beta-rule and splitting (546), into two cases.
% 13.08/3.44 |-Branch one:
% 13.08/3.44 | (547) all_0_116_116 = e13 & all_0_117_117 = e12 & all_0_118_118 = e11 & all_0_119_119 = e10
% 13.08/3.44 |
% 13.08/3.44 | Applying alpha-rule on (547) yields:
% 13.08/3.44 | (548) all_0_116_116 = e13
% 13.08/3.44 | (549) all_0_117_117 = e12
% 13.08/3.44 | (550) all_0_118_118 = e11
% 13.08/3.44 | (551) all_0_119_119 = e10
% 13.08/3.44 |
% 13.08/3.44 | Combining equations (550,1192) yields a new equation:
% 13.08/3.44 | (666) all_0_154_154 = e11
% 13.08/3.44 |
% 13.08/3.44 | Equations (666) can reduce 1003 to:
% 13.08/3.44 | (404) $false
% 13.08/3.44 |
% 13.08/3.44 |-The branch is then unsatisfiable
% 13.08/3.44 |-Branch two:
% 13.08/3.44 | (554) all_0_120_120 = e13 & all_0_121_121 = e12 & all_0_122_122 = e11 & all_0_123_123 = e10
% 13.08/3.44 |
% 13.08/3.44 | Applying alpha-rule on (554) yields:
% 13.08/3.44 | (555) all_0_120_120 = e13
% 13.08/3.44 | (556) all_0_121_121 = e12
% 13.08/3.44 | (557) all_0_122_122 = e11
% 13.08/3.44 | (558) all_0_123_123 = e10
% 13.08/3.44 |
% 13.08/3.44 | Combining equations (601,557) yields a new equation:
% 13.08/3.44 | (662) e12 = e11
% 13.08/3.44 |
% 13.08/3.44 | Simplifying 662 yields:
% 13.08/3.44 | (552) e12 = e11
% 13.08/3.44 |
% 13.08/3.44 | Equations (552) can reduce 91 to:
% 13.08/3.44 | (404) $false
% 13.08/3.44 |
% 13.08/3.44 |-The branch is then unsatisfiable
% 13.08/3.44 |-Branch two:
% 13.08/3.44 | (562) all_0_124_124 = e13 & all_0_125_125 = e10 & all_0_147_147 = e11 & all_0_154_154 = e12
% 13.08/3.44 |
% 13.08/3.44 | Applying alpha-rule on (562) yields:
% 13.08/3.44 | (563) all_0_124_124 = e13
% 13.08/3.44 | (564) all_0_125_125 = e10
% 13.08/3.44 | (530) all_0_147_147 = e11
% 13.08/3.44 | (566) all_0_154_154 = e12
% 13.08/3.44 |
% 13.08/3.44 | Combining equations (892,564) yields a new equation:
% 13.08/3.44 | (559) e12 = e10
% 13.08/3.44 |
% 13.08/3.44 | Simplifying 559 yields:
% 13.08/3.44 | (560) e12 = e10
% 13.08/3.44 |
% 13.08/3.44 | Equations (560) can reduce 5 to:
% 13.08/3.44 | (404) $false
% 13.08/3.44 |
% 13.08/3.44 |-The branch is then unsatisfiable
% 13.08/3.44 |-Branch two:
% 13.08/3.44 | (570) all_0_126_126 = e13 & all_0_127_127 = e12 & all_0_128_128 = e10 & all_0_142_142 = e11
% 13.08/3.44 |
% 13.08/3.44 | Applying alpha-rule on (570) yields:
% 13.08/3.44 | (571) all_0_126_126 = e13
% 13.08/3.44 | (507) all_0_127_127 = e12
% 13.08/3.44 | (573) all_0_128_128 = e10
% 13.08/3.44 | (574) all_0_142_142 = e11
% 13.08/3.44 |
% 13.08/3.44 | Equations (574) can reduce 197 to:
% 13.08/3.44 | (1228) ~ (all_0_143_143 = e11)
% 13.08/3.44 |
% 13.08/3.44 | Simplifying 1228 yields:
% 13.08/3.44 | (484) ~ (all_0_143_143 = e11)
% 13.08/3.44 |
% 13.08/3.44 | Equations (574) can reduce 18 to:
% 13.08/3.44 | (485) ~ (all_0_145_145 = e11)
% 13.08/3.44 |
% 13.08/3.44 | Simplifying 485 yields:
% 13.08/3.44 | (486) ~ (all_0_145_145 = e11)
% 13.08/3.44 |
% 13.08/3.44 | From (571) and (370) follows:
% 13.08/3.44 | (1232) op1(all_0_145_145, all_0_145_145) = e13
% 13.08/3.44 |
% 13.08/3.44 | From (573) and (374) follows:
% 13.08/3.44 | (1233) op1(all_0_154_154, all_0_154_154) = e10
% 13.08/3.44 |
% 13.08/3.44 | From (574) and (252) follows:
% 13.08/3.44 | (1234) h2(e11) = all_0_56_56
% 13.08/3.44 |
% 13.08/3.44 +-Applying beta-rule and splitting (338), into two cases.
% 13.08/3.44 |-Branch one:
% 13.08/3.44 | (653) all_0_145_145 = e11
% 13.08/3.44 |
% 13.08/3.44 | Equations (653) can reduce 486 to:
% 13.08/3.44 | (404) $false
% 13.08/3.44 |
% 13.08/3.44 |-The branch is then unsatisfiable
% 13.08/3.44 |-Branch two:
% 13.08/3.44 | (486) ~ (all_0_145_145 = e11)
% 13.08/3.44 | (656) all_0_148_148 = e11 | all_0_154_154 = e11
% 13.08/3.44 |
% 13.08/3.44 +-Applying beta-rule and splitting (656), into two cases.
% 13.08/3.44 |-Branch one:
% 13.08/3.44 | (502) all_0_148_148 = e11
% 13.08/3.44 |
% 13.08/3.44 | Equations (502) can reduce 266 to:
% 13.08/3.44 | (486) ~ (all_0_145_145 = e11)
% 13.08/3.44 |
% 13.08/3.44 | Equations (502) can reduce 29 to:
% 13.08/3.44 | (503) ~ (all_0_146_146 = e11)
% 13.08/3.44 |
% 13.08/3.44 | Equations (502) can reduce 357 to:
% 13.08/3.44 | (504) ~ (all_0_147_147 = e11)
% 13.08/3.44 |
% 13.08/3.44 | Equations (502) can reduce 55 to:
% 13.08/3.44 | (1002) ~ (all_0_154_154 = e11)
% 13.08/3.44 |
% 13.08/3.44 | Simplifying 1002 yields:
% 13.08/3.44 | (1003) ~ (all_0_154_154 = e11)
% 13.08/3.44 |
% 13.08/3.44 | From (502) and (273) follows:
% 13.08/3.44 | (1245) h2(e11) = all_0_62_62
% 13.08/3.44 |
% 13.08/3.44 | Instantiating formula (283) with e11, all_0_56_56, e21 and discharging atoms h2(e11) = all_0_56_56, h2(e11) = e21, yields:
% 13.08/3.44 | (1246) all_0_56_56 = e21
% 13.08/3.44 |
% 13.08/3.44 | Instantiating formula (283) with e11, all_0_62_62, all_0_56_56 and discharging atoms h2(e11) = all_0_56_56, h2(e11) = all_0_62_62, yields:
% 13.08/3.44 | (1247) all_0_56_56 = all_0_62_62
% 13.08/3.44 |
% 13.08/3.44 | Combining equations (1246,1247) yields a new equation:
% 13.08/3.44 | (1248) all_0_62_62 = e21
% 13.08/3.44 |
% 13.08/3.44 | Combining equations (1248,1247) yields a new equation:
% 13.08/3.44 | (1246) all_0_56_56 = e21
% 13.08/3.44 |
% 13.08/3.44 +-Applying beta-rule and splitting (340), into two cases.
% 13.08/3.44 |-Branch one:
% 13.08/3.44 | (718) all_0_146_146 = e13
% 13.08/3.44 |
% 13.08/3.44 | Equations (718) can reduce 379 to:
% 13.08/3.44 | (908) ~ (all_0_147_147 = e13)
% 13.08/3.44 |
% 13.08/3.44 | Simplifying 908 yields:
% 13.08/3.44 | (909) ~ (all_0_147_147 = e13)
% 13.08/3.44 |
% 13.08/3.44 +-Applying beta-rule and splitting (170), into two cases.
% 13.08/3.44 |-Branch one:
% 13.08/3.44 | (829) all_0_142_142 = e12
% 13.08/3.44 |
% 13.08/3.44 | Combining equations (574,829) yields a new equation:
% 13.08/3.44 | (552) e12 = e11
% 13.08/3.44 |
% 13.08/3.44 | Equations (552) can reduce 91 to:
% 13.08/3.44 | (404) $false
% 13.08/3.44 |
% 13.08/3.44 |-The branch is then unsatisfiable
% 13.08/3.44 |-Branch two:
% 13.08/3.44 | (855) ~ (all_0_142_142 = e12)
% 13.08/3.44 | (856) all_0_146_146 = e12 | all_0_151_151 = e12
% 13.08/3.44 |
% 13.08/3.44 +-Applying beta-rule and splitting (856), into two cases.
% 13.08/3.44 |-Branch one:
% 13.08/3.44 | (857) all_0_146_146 = e12
% 13.08/3.44 |
% 13.08/3.44 | Combining equations (718,857) yields a new equation:
% 13.08/3.44 | (567) e13 = e12
% 13.08/3.44 |
% 13.08/3.44 | Simplifying 567 yields:
% 13.08/3.44 | (568) e13 = e12
% 13.08/3.44 |
% 13.08/3.44 | Equations (568) can reduce 247 to:
% 13.08/3.44 | (404) $false
% 13.08/3.44 |
% 13.08/3.44 |-The branch is then unsatisfiable
% 13.08/3.44 |-Branch two:
% 13.08/3.44 | (649) ~ (all_0_146_146 = e12)
% 13.08/3.44 | (730) all_0_151_151 = e12
% 13.08/3.44 |
% 13.08/3.44 | Equations (730) can reduce 230 to:
% 13.08/3.44 | (1264) ~ (all_0_154_154 = e12)
% 13.08/3.44 |
% 13.08/3.44 | Simplifying 1264 yields:
% 13.08/3.44 | (1265) ~ (all_0_154_154 = e12)
% 13.08/3.44 |
% 13.08/3.44 +-Applying beta-rule and splitting (341), into two cases.
% 13.08/3.44 |-Branch one:
% 13.08/3.44 | (530) all_0_147_147 = e11
% 13.08/3.44 |
% 13.08/3.44 | Equations (530) can reduce 504 to:
% 13.08/3.44 | (404) $false
% 13.08/3.44 |
% 13.08/3.44 |-The branch is then unsatisfiable
% 13.08/3.44 |-Branch two:
% 13.08/3.44 | (504) ~ (all_0_147_147 = e11)
% 13.08/3.44 | (705) all_0_147_147 = e13 | all_0_147_147 = e12
% 13.08/3.44 |
% 13.08/3.44 +-Applying beta-rule and splitting (705), into two cases.
% 13.08/3.44 |-Branch one:
% 13.08/3.44 | (837) all_0_147_147 = e12
% 13.08/3.44 |
% 13.08/3.44 | Equations (837) can reduce 202 to:
% 13.08/3.44 | (1271) ~ (all_0_152_152 = e12)
% 13.08/3.44 |
% 13.08/3.44 | Simplifying 1271 yields:
% 13.08/3.44 | (992) ~ (all_0_152_152 = e12)
% 13.08/3.44 |
% 13.08/3.44 | Equations (837) can reduce 504 to:
% 13.08/3.44 | (91) ~ (e12 = e11)
% 13.08/3.44 |
% 13.08/3.44 | From (837) and (292) follows:
% 13.08/3.44 | (1274) op1(e12, e12) = e12
% 13.08/3.44 |
% 13.08/3.44 +-Applying beta-rule and splitting (50), into two cases.
% 13.08/3.44 |-Branch one:
% 13.08/3.44 | (829) all_0_142_142 = e12
% 13.08/3.44 |
% 13.08/3.44 | Combining equations (829,574) yields a new equation:
% 13.08/3.44 | (662) e12 = e11
% 13.08/3.44 |
% 13.08/3.44 | Simplifying 662 yields:
% 13.08/3.44 | (552) e12 = e11
% 13.08/3.44 |
% 13.08/3.44 | Equations (552) can reduce 91 to:
% 13.08/3.44 | (404) $false
% 13.08/3.44 |
% 13.08/3.44 |-The branch is then unsatisfiable
% 13.08/3.44 |-Branch two:
% 13.08/3.45 | (855) ~ (all_0_142_142 = e12)
% 13.08/3.45 | (1280) all_0_143_143 = e12 | all_0_145_145 = e12
% 13.08/3.45 |
% 13.08/3.45 | Equations (574) can reduce 855 to:
% 13.08/3.45 | (513) ~ (e12 = e11)
% 13.08/3.45 |
% 13.08/3.45 | Simplifying 513 yields:
% 13.08/3.45 | (91) ~ (e12 = e11)
% 13.08/3.45 |
% 13.08/3.45 +-Applying beta-rule and splitting (180), into two cases.
% 13.08/3.45 |-Branch one:
% 13.08/3.45 | (666) all_0_154_154 = e11
% 13.08/3.45 |
% 13.08/3.45 | Equations (666) can reduce 1003 to:
% 13.08/3.45 | (404) $false
% 13.08/3.45 |
% 13.08/3.45 |-The branch is then unsatisfiable
% 13.08/3.45 |-Branch two:
% 13.08/3.45 | (1003) ~ (all_0_154_154 = e11)
% 13.08/3.45 | (1286) all_0_154_154 = e12 | all_0_154_154 = e10
% 13.08/3.45 |
% 13.08/3.45 +-Applying beta-rule and splitting (141), into two cases.
% 13.08/3.45 |-Branch one:
% 13.08/3.45 | (672) all_0_145_145 = e12
% 13.08/3.45 |
% 13.08/3.45 | Equations (672) can reduce 293 to:
% 13.08/3.45 | (888) ~ (e13 = e12)
% 13.08/3.45 |
% 13.08/3.45 | Simplifying 888 yields:
% 13.08/3.45 | (247) ~ (e13 = e12)
% 13.08/3.45 |
% 13.08/3.45 | From (672)(672) and (1232) follows:
% 13.08/3.45 | (729) op1(e12, e12) = e13
% 13.08/3.45 |
% 13.08/3.45 +-Applying beta-rule and splitting (205), into two cases.
% 13.08/3.45 |-Branch one:
% 13.08/3.45 | (814) all_0_143_143 = e13
% 13.08/3.45 |
% 13.08/3.45 | Equations (814) can reduce 724 to:
% 13.08/3.45 | (404) $false
% 13.08/3.45 |
% 13.08/3.45 |-The branch is then unsatisfiable
% 13.08/3.45 |-Branch two:
% 13.08/3.45 | (724) ~ (all_0_143_143 = e13)
% 13.08/3.45 | (1294) all_0_147_147 = e13 | all_0_152_152 = e13
% 13.08/3.45 |
% 13.08/3.45 +-Applying beta-rule and splitting (284), into two cases.
% 13.08/3.45 |-Branch one:
% 13.08/3.45 | (1295) all_0_151_151 = e13
% 13.08/3.45 |
% 13.08/3.45 | Combining equations (730,1295) yields a new equation:
% 13.08/3.45 | (568) e13 = e12
% 13.08/3.45 |
% 13.08/3.45 | Equations (568) can reduce 247 to:
% 13.08/3.45 | (404) $false
% 13.08/3.45 |
% 13.08/3.45 |-The branch is then unsatisfiable
% 13.08/3.45 |-Branch two:
% 13.08/3.45 | (1298) ~ (all_0_151_151 = e13)
% 13.08/3.45 | (1299) all_0_152_152 = e13 | all_0_153_153 = e13
% 13.08/3.45 |
% 13.08/3.45 | Equations (730) can reduce 1298 to:
% 13.08/3.45 | (888) ~ (e13 = e12)
% 13.08/3.45 |
% 13.08/3.45 | Simplifying 888 yields:
% 13.08/3.45 | (247) ~ (e13 = e12)
% 13.08/3.45 |
% 13.08/3.45 +-Applying beta-rule and splitting (1294), into two cases.
% 13.08/3.45 |-Branch one:
% 13.08/3.45 | (722) all_0_147_147 = e13
% 13.08/3.45 |
% 13.08/3.45 | Combining equations (722,837) yields a new equation:
% 13.08/3.45 | (567) e13 = e12
% 13.08/3.45 |
% 13.08/3.45 | Simplifying 567 yields:
% 13.08/3.45 | (568) e13 = e12
% 13.08/3.45 |
% 13.08/3.45 | Equations (568) can reduce 247 to:
% 13.08/3.45 | (404) $false
% 13.08/3.45 |
% 13.08/3.45 |-The branch is then unsatisfiable
% 13.08/3.45 |-Branch two:
% 13.08/3.45 | (909) ~ (all_0_147_147 = e13)
% 13.08/3.45 | (994) all_0_152_152 = e13
% 13.08/3.45 |
% 13.08/3.45 | Equations (994) can reduce 992 to:
% 13.08/3.45 | (247) ~ (e13 = e12)
% 13.08/3.45 |
% 13.08/3.45 | Instantiating formula (133) with e12, e12, e12, e13 and discharging atoms op1(e12, e12) = e13, op1(e12, e12) = e12, yields:
% 13.08/3.45 | (568) e13 = e12
% 13.08/3.45 |
% 13.08/3.45 | Equations (568) can reduce 247 to:
% 13.08/3.45 | (404) $false
% 13.08/3.45 |
% 13.08/3.45 |-The branch is then unsatisfiable
% 13.08/3.45 |-Branch two:
% 13.08/3.45 | (648) ~ (all_0_145_145 = e12)
% 13.08/3.45 | (1312) all_0_148_148 = e12 | all_0_154_154 = e12
% 13.08/3.45 |
% 13.08/3.45 +-Applying beta-rule and splitting (1286), into two cases.
% 13.08/3.45 |-Branch one:
% 13.08/3.45 | (566) all_0_154_154 = e12
% 13.08/3.45 |
% 13.08/3.45 | Equations (566) can reduce 1265 to:
% 13.08/3.45 | (404) $false
% 13.08/3.45 |
% 13.08/3.45 |-The branch is then unsatisfiable
% 13.08/3.45 |-Branch two:
% 13.08/3.45 | (1265) ~ (all_0_154_154 = e12)
% 13.08/3.45 | (1316) all_0_154_154 = e10
% 13.08/3.45 |
% 13.08/3.45 | Equations (1316) can reduce 1265 to:
% 13.08/3.45 | (522) ~ (e12 = e10)
% 13.08/3.45 |
% 13.08/3.45 | Simplifying 522 yields:
% 13.08/3.45 | (5) ~ (e12 = e10)
% 13.08/3.45 |
% 13.08/3.45 +-Applying beta-rule and splitting (1312), into two cases.
% 13.08/3.45 |-Branch one:
% 13.08/3.45 | (647) all_0_148_148 = e12
% 13.08/3.45 |
% 13.08/3.45 | Combining equations (502,647) yields a new equation:
% 13.08/3.45 | (552) e12 = e11
% 13.08/3.45 |
% 13.08/3.45 | Equations (552) can reduce 91 to:
% 13.08/3.45 | (404) $false
% 13.08/3.45 |
% 13.08/3.45 |-The branch is then unsatisfiable
% 13.08/3.45 |-Branch two:
% 13.08/3.45 | (1322) ~ (all_0_148_148 = e12)
% 13.08/3.45 | (566) all_0_154_154 = e12
% 13.08/3.45 |
% 13.08/3.45 | Combining equations (566,1316) yields a new equation:
% 13.08/3.45 | (559) e12 = e10
% 13.08/3.45 |
% 13.08/3.45 | Simplifying 559 yields:
% 13.08/3.45 | (560) e12 = e10
% 13.08/3.45 |
% 13.08/3.45 | Equations (560) can reduce 5 to:
% 13.08/3.45 | (404) $false
% 13.08/3.45 |
% 13.08/3.45 |-The branch is then unsatisfiable
% 13.08/3.45 |-Branch two:
% 13.08/3.45 | (650) ~ (all_0_147_147 = e12)
% 13.08/3.45 | (722) all_0_147_147 = e13
% 13.08/3.45 |
% 13.08/3.45 | Equations (722) can reduce 909 to:
% 13.08/3.45 | (404) $false
% 13.08/3.45 |
% 13.08/3.45 |-The branch is then unsatisfiable
% 13.08/3.45 |-Branch two:
% 13.08/3.45 | (721) ~ (all_0_146_146 = e13)
% 13.08/3.45 | (722) all_0_147_147 = e13
% 13.08/3.45 |
% 13.08/3.45 | Equations (722) can reduce 358 to:
% 13.08/3.45 | (724) ~ (all_0_143_143 = e13)
% 13.08/3.45 |
% 13.08/3.45 | Equations (722) can reduce 379 to:
% 13.08/3.45 | (721) ~ (all_0_146_146 = e13)
% 13.08/3.45 |
% 13.08/3.45 | Equations (722) can reduce 504 to:
% 13.08/3.45 | (351) ~ (e13 = e11)
% 13.08/3.45 |
% 13.08/3.45 | From (722) and (292) follows:
% 13.08/3.45 | (729) op1(e12, e12) = e13
% 13.08/3.45 |
% 13.08/3.45 | From (722) and (277) follows:
% 13.08/3.45 | (1336) h2(e13) = all_0_61_61
% 13.08/3.45 |
% 13.08/3.45 +-Applying beta-rule and splitting (166), into two cases.
% 13.08/3.45 |-Branch one:
% 13.08/3.45 | (591) all_0_146_146 = e11
% 13.08/3.45 |
% 13.08/3.45 | Equations (591) can reduce 503 to:
% 13.08/3.45 | (404) $false
% 13.08/3.45 |
% 13.08/3.45 |-The branch is then unsatisfiable
% 13.08/3.45 |-Branch two:
% 13.08/3.45 | (503) ~ (all_0_146_146 = e11)
% 13.08/3.45 | (1340) all_0_146_146 = e13 | all_0_146_146 = e12
% 13.08/3.45 |
% 13.08/3.45 +-Applying beta-rule and splitting (1340), into two cases.
% 13.08/3.45 |-Branch one:
% 13.08/3.45 | (857) all_0_146_146 = e12
% 13.08/3.45 |
% 13.08/3.45 | Equations (857) can reduce 721 to:
% 13.08/3.45 | (888) ~ (e13 = e12)
% 13.08/3.45 |
% 13.08/3.45 | Simplifying 888 yields:
% 13.08/3.45 | (247) ~ (e13 = e12)
% 13.08/3.45 |
% 13.08/3.45 | From (857) and (151) follows:
% 13.08/3.45 | (1344) h2(e12) = all_0_60_60
% 13.08/3.45 |
% 13.08/3.45 +-Applying beta-rule and splitting (284), into two cases.
% 13.08/3.45 |-Branch one:
% 13.08/3.45 | (1295) all_0_151_151 = e13
% 13.08/3.45 |
% 13.08/3.45 | Equations (1295) can reduce 195 to:
% 13.08/3.45 | (725) ~ (all_0_152_152 = e13)
% 13.08/3.45 |
% 13.08/3.45 | Simplifying 725 yields:
% 13.08/3.45 | (494) ~ (all_0_152_152 = e13)
% 13.08/3.45 |
% 13.08/3.45 | From (1295) and (371) follows:
% 13.08/3.45 | (1348) h2(e13) = all_0_65_65
% 13.08/3.45 |
% 13.08/3.45 | Instantiating formula (283) with e13, all_0_61_61, e23 and discharging atoms h2(e13) = all_0_61_61, h2(e13) = e23, yields:
% 13.08/3.45 | (1349) all_0_61_61 = e23
% 13.08/3.45 |
% 13.08/3.45 | Instantiating formula (283) with e13, all_0_65_65, all_0_61_61 and discharging atoms h2(e13) = all_0_61_61, h2(e13) = all_0_65_65, yields:
% 13.08/3.45 | (1350) all_0_61_61 = all_0_65_65
% 13.08/3.45 |
% 13.08/3.45 | Instantiating formula (283) with e12, all_0_60_60, e22 and discharging atoms h2(e12) = all_0_60_60, h2(e12) = e22, yields:
% 13.08/3.45 | (1351) all_0_60_60 = e22
% 13.08/3.45 |
% 13.08/3.45 | Combining equations (1350,1349) yields a new equation:
% 13.08/3.45 | (1352) all_0_65_65 = e23
% 13.08/3.45 |
% 13.08/3.45 | Simplifying 1352 yields:
% 13.08/3.45 | (1353) all_0_65_65 = e23
% 13.08/3.45 |
% 13.08/3.45 | From (1351) and (1344) follows:
% 13.08/3.45 | (2) h2(e12) = e22
% 13.08/3.45 |
% 13.08/3.45 +-Applying beta-rule and splitting (88), into two cases.
% 13.08/3.45 |-Branch one:
% 13.08/3.45 | (675) all_0_145_145 = e10
% 13.08/3.45 |
% 13.08/3.45 | Equations (675) can reduce 263 to:
% 13.08/3.45 | (677) ~ (all_0_143_143 = e10)
% 13.08/3.45 |
% 13.08/3.45 | Equations (675) can reduce 24 to:
% 13.08/3.45 | (1357) ~ (all_0_154_154 = e10)
% 13.08/3.45 |
% 13.08/3.45 | Simplifying 1357 yields:
% 13.08/3.45 | (1358) ~ (all_0_154_154 = e10)
% 13.08/3.45 |
% 13.08/3.45 | Equations (675) can reduce 293 to:
% 13.08/3.45 | (747) ~ (e13 = e10)
% 13.08/3.45 |
% 13.08/3.45 | Simplifying 747 yields:
% 13.08/3.45 | (164) ~ (e13 = e10)
% 13.08/3.45 |
% 13.08/3.45 | From (675)(675) and (1232) follows:
% 13.08/3.45 | (1361) op1(e10, e10) = e13
% 13.08/3.45 |
% 13.08/3.45 +-Applying beta-rule and splitting (180), into two cases.
% 13.08/3.45 |-Branch one:
% 13.08/3.45 | (666) all_0_154_154 = e11
% 13.08/3.45 |
% 13.08/3.45 | Equations (666) can reduce 1003 to:
% 13.08/3.45 | (404) $false
% 13.08/3.45 |
% 13.08/3.45 |-The branch is then unsatisfiable
% 13.08/3.45 |-Branch two:
% 13.08/3.45 | (1003) ~ (all_0_154_154 = e11)
% 13.08/3.45 | (1286) all_0_154_154 = e12 | all_0_154_154 = e10
% 13.08/3.45 |
% 13.08/3.45 +-Applying beta-rule and splitting (1286), into two cases.
% 13.08/3.45 |-Branch one:
% 13.08/3.45 | (566) all_0_154_154 = e12
% 13.08/3.45 |
% 13.08/3.45 | Equations (566) can reduce 369 to:
% 13.08/3.45 | (992) ~ (all_0_152_152 = e12)
% 13.08/3.45 |
% 13.08/3.45 | From (566)(566) and (1233) follows:
% 13.08/3.45 | (1368) op1(e12, e12) = e10
% 13.08/3.45 |
% 13.08/3.45 | From (566) and (233) follows:
% 13.08/3.45 | (1369) op1(e10, e10) = e12
% 13.08/3.45 |
% 13.08/3.45 +-Applying beta-rule and splitting (75), into two cases.
% 13.08/3.45 |-Branch one:
% 13.08/3.45 | (756) all_0_143_143 = e12
% 13.08/3.45 |
% 13.08/3.45 | Equations (756) can reduce 339 to:
% 13.08/3.45 | (1271) ~ (all_0_152_152 = e12)
% 13.08/3.45 |
% 13.08/3.45 | Simplifying 1271 yields:
% 13.08/3.45 | (992) ~ (all_0_152_152 = e12)
% 13.08/3.45 |
% 13.08/3.45 | Equations (756) can reduce 677 to:
% 13.08/3.45 | (5) ~ (e12 = e10)
% 13.08/3.45 |
% 13.08/3.45 +-Applying beta-rule and splitting (13), into two cases.
% 13.08/3.45 |-Branch one:
% 13.08/3.45 | (900) all_0_151_151 = e10
% 13.08/3.45 |
% 13.08/3.45 | Combining equations (1295,900) yields a new equation:
% 13.08/3.45 | (789) e13 = e10
% 13.08/3.45 |
% 13.08/3.45 | Simplifying 789 yields:
% 13.08/3.45 | (773) e13 = e10
% 13.08/3.45 |
% 13.08/3.45 | Equations (773) can reduce 164 to:
% 13.08/3.45 | (404) $false
% 13.08/3.45 |
% 13.08/3.45 |-The branch is then unsatisfiable
% 13.08/3.45 |-Branch two:
% 13.08/3.45 | (970) ~ (all_0_151_151 = e10)
% 13.08/3.45 | (971) all_0_152_152 = e10 | all_0_154_154 = e10
% 13.08/3.45 |
% 13.08/3.45 +-Applying beta-rule and splitting (325), into two cases.
% 13.08/3.45 |-Branch one:
% 13.08/3.45 | (732) all_0_143_143 = e10
% 13.08/3.45 |
% 13.08/3.45 | Combining equations (756,732) yields a new equation:
% 13.08/3.45 | (559) e12 = e10
% 13.08/3.45 |
% 13.08/3.45 | Simplifying 559 yields:
% 13.08/3.45 | (560) e12 = e10
% 13.08/3.45 |
% 13.08/3.45 | Equations (560) can reduce 5 to:
% 13.08/3.45 | (404) $false
% 13.08/3.45 |
% 13.08/3.45 |-The branch is then unsatisfiable
% 13.08/3.45 |-Branch two:
% 13.08/3.45 | (677) ~ (all_0_143_143 = e10)
% 13.08/3.46 | (735) all_0_150_150 = e10 | all_0_152_152 = e10
% 13.08/3.46 |
% 13.08/3.46 | Equations (756) can reduce 677 to:
% 13.08/3.46 | (5) ~ (e12 = e10)
% 13.08/3.46 |
% 13.08/3.46 +-Applying beta-rule and splitting (971), into two cases.
% 13.08/3.46 |-Branch one:
% 13.08/3.46 | (745) all_0_152_152 = e10
% 13.08/3.46 |
% 13.08/3.46 | Equations (745) can reduce 992 to:
% 13.08/3.46 | (522) ~ (e12 = e10)
% 13.08/3.46 |
% 13.08/3.46 | Simplifying 522 yields:
% 13.08/3.46 | (5) ~ (e12 = e10)
% 13.08/3.46 |
% 13.08/3.46 | Instantiating formula (133) with e12, e12, e10, e13 and discharging atoms op1(e12, e12) = e13, op1(e12, e12) = e10, yields:
% 13.08/3.46 | (773) e13 = e10
% 13.08/3.46 |
% 13.08/3.46 | Instantiating formula (133) with e10, e10, e12, e13 and discharging atoms op1(e10, e10) = e13, op1(e10, e10) = e12, yields:
% 13.08/3.46 | (568) e13 = e12
% 13.08/3.46 |
% 13.08/3.46 | Combining equations (568,773) yields a new equation:
% 13.08/3.46 | (559) e12 = e10
% 13.08/3.46 |
% 13.08/3.46 | Simplifying 559 yields:
% 13.08/3.46 | (560) e12 = e10
% 13.08/3.46 |
% 13.08/3.46 | Equations (560) can reduce 5 to:
% 13.08/3.46 | (404) $false
% 13.08/3.46 |
% 13.08/3.46 |-The branch is then unsatisfiable
% 13.08/3.46 |-Branch two:
% 13.08/3.46 | (878) ~ (all_0_152_152 = e10)
% 13.08/3.46 | (1316) all_0_154_154 = e10
% 13.08/3.46 |
% 13.08/3.46 | Combining equations (1316,566) yields a new equation:
% 13.08/3.46 | (560) e12 = e10
% 13.08/3.46 |
% 13.08/3.46 | Equations (560) can reduce 5 to:
% 13.08/3.46 | (404) $false
% 13.08/3.46 |
% 13.08/3.46 |-The branch is then unsatisfiable
% 13.08/3.46 |-Branch two:
% 13.08/3.46 | (812) ~ (all_0_143_143 = e12)
% 13.08/3.46 | (836) all_0_147_147 = e12 | all_0_152_152 = e12
% 13.08/3.46 |
% 13.08/3.46 +-Applying beta-rule and splitting (173), into two cases.
% 13.08/3.46 |-Branch one:
% 13.08/3.46 | (539) all_0_152_152 = e11
% 13.08/3.46 |
% 13.08/3.46 | Equations (539) can reduce 667 to:
% 13.08/3.46 | (404) $false
% 13.08/3.46 |
% 13.08/3.46 |-The branch is then unsatisfiable
% 13.08/3.46 |-Branch two:
% 13.08/3.46 | (667) ~ (all_0_152_152 = e11)
% 13.08/3.46 | (884) all_0_152_152 = e13 | all_0_152_152 = e12 | all_0_152_152 = e10
% 13.08/3.46 |
% 13.08/3.46 +-Applying beta-rule and splitting (296), into two cases.
% 13.08/3.46 |-Branch one:
% 13.08/3.46 | (526) all_0_143_143 = e11
% 13.08/3.46 |
% 13.08/3.46 | Equations (526) can reduce 484 to:
% 13.08/3.46 | (404) $false
% 13.08/3.46 |
% 13.08/3.46 |-The branch is then unsatisfiable
% 13.08/3.46 |-Branch two:
% 13.08/3.46 | (484) ~ (all_0_143_143 = e11)
% 13.08/3.46 | (755) all_0_143_143 = e13 | all_0_143_143 = e12 | all_0_143_143 = e10
% 13.08/3.46 |
% 13.08/3.46 +-Applying beta-rule and splitting (884), into two cases.
% 13.08/3.46 |-Branch one:
% 13.08/3.46 | (842) all_0_152_152 = e12
% 13.08/3.46 |
% 13.08/3.46 | Equations (842) can reduce 992 to:
% 13.08/3.46 | (404) $false
% 13.08/3.46 |
% 13.08/3.46 |-The branch is then unsatisfiable
% 13.08/3.46 |-Branch two:
% 13.08/3.46 | (992) ~ (all_0_152_152 = e12)
% 13.08/3.46 | (993) all_0_152_152 = e13 | all_0_152_152 = e10
% 13.08/3.46 |
% 13.08/3.46 +-Applying beta-rule and splitting (755), into two cases.
% 13.08/3.46 |-Branch one:
% 13.08/3.46 | (756) all_0_143_143 = e12
% 13.08/3.46 |
% 13.08/3.46 | Equations (756) can reduce 812 to:
% 13.08/3.46 | (404) $false
% 13.08/3.46 |
% 13.08/3.46 |-The branch is then unsatisfiable
% 13.08/3.46 |-Branch two:
% 13.08/3.46 | (812) ~ (all_0_143_143 = e12)
% 13.08/3.46 | (813) all_0_143_143 = e13 | all_0_143_143 = e10
% 13.08/3.46 |
% 13.08/3.46 +-Applying beta-rule and splitting (993), into two cases.
% 13.08/3.46 |-Branch one:
% 13.08/3.46 | (994) all_0_152_152 = e13
% 13.08/3.46 |
% 13.08/3.46 | Equations (994) can reduce 494 to:
% 13.08/3.46 | (404) $false
% 13.08/3.46 |
% 13.08/3.46 |-The branch is then unsatisfiable
% 13.08/3.46 |-Branch two:
% 13.08/3.46 | (494) ~ (all_0_152_152 = e13)
% 13.08/3.46 | (745) all_0_152_152 = e10
% 13.08/3.46 |
% 13.08/3.46 | Equations (745) can reduce 339 to:
% 13.08/3.46 | (677) ~ (all_0_143_143 = e10)
% 13.08/3.46 |
% 13.08/3.46 +-Applying beta-rule and splitting (813), into two cases.
% 13.08/3.46 |-Branch one:
% 13.08/3.46 | (814) all_0_143_143 = e13
% 13.08/3.46 |
% 13.08/3.46 | Equations (814) can reduce 724 to:
% 13.08/3.46 | (404) $false
% 13.08/3.46 |
% 13.08/3.46 |-The branch is then unsatisfiable
% 13.08/3.46 |-Branch two:
% 13.08/3.46 | (724) ~ (all_0_143_143 = e13)
% 13.08/3.46 | (732) all_0_143_143 = e10
% 13.08/3.46 |
% 13.08/3.46 | Equations (732) can reduce 677 to:
% 13.08/3.46 | (404) $false
% 13.08/3.46 |
% 13.08/3.46 |-The branch is then unsatisfiable
% 13.08/3.46 |-Branch two:
% 13.08/3.46 | (1265) ~ (all_0_154_154 = e12)
% 13.08/3.46 | (1316) all_0_154_154 = e10
% 13.08/3.46 |
% 13.08/3.46 | Equations (1316) can reduce 1358 to:
% 13.08/3.46 | (404) $false
% 13.08/3.46 |
% 13.08/3.46 |-The branch is then unsatisfiable
% 13.08/3.46 |-Branch two:
% 13.08/3.46 | (1430) ~ (all_0_145_145 = e10)
% 13.08/3.46 | (1316) all_0_154_154 = e10
% 13.08/3.46 |
% 13.08/3.46 | Equations (1316) can reduce 24 to:
% 13.08/3.46 | (1430) ~ (all_0_145_145 = e10)
% 13.08/3.46 |
% 13.08/3.46 | Equations (1316) can reduce 1003 to:
% 13.08/3.46 | (524) ~ (e11 = e10)
% 13.08/3.46 |
% 13.08/3.46 | Simplifying 524 yields:
% 13.08/3.46 | (238) ~ (e11 = e10)
% 13.08/3.46 |
% 13.08/3.46 | From (1316) and (261) follows:
% 13.08/3.46 | (1435) h2(e10) = all_0_68_68
% 13.08/3.46 |
% 13.08/3.46 +-Applying beta-rule and splitting (68), into two cases.
% 13.08/3.46 |-Branch one:
% 13.08/3.46 | (653) all_0_145_145 = e11
% 13.08/3.46 |
% 13.08/3.46 | Equations (653) can reduce 486 to:
% 13.08/3.46 | (404) $false
% 13.08/3.46 |
% 13.08/3.46 |-The branch is then unsatisfiable
% 13.08/3.46 |-Branch two:
% 13.08/3.46 | (486) ~ (all_0_145_145 = e11)
% 13.08/3.46 | (660) all_0_145_145 = e12 | all_0_145_145 = e10
% 13.08/3.46 |
% 13.08/3.46 +-Applying beta-rule and splitting (231), into two cases.
% 13.08/3.46 |-Branch one:
% 13.08/3.46 | (895) all_0_142_142 = e10
% 13.08/3.46 |
% 13.08/3.46 | Combining equations (895,574) yields a new equation:
% 13.08/3.46 | (518) e11 = e10
% 13.08/3.46 |
% 13.08/3.46 | Equations (518) can reduce 238 to:
% 13.08/3.46 | (404) $false
% 13.08/3.46 |
% 13.08/3.46 |-The branch is then unsatisfiable
% 13.08/3.46 |-Branch two:
% 13.08/3.46 | (676) ~ (all_0_142_142 = e10)
% 13.08/3.46 | (1444) all_0_143_143 = e10 | all_0_145_145 = e10
% 13.08/3.46 |
% 13.08/3.46 +-Applying beta-rule and splitting (141), into two cases.
% 13.08/3.46 |-Branch one:
% 13.08/3.46 | (672) all_0_145_145 = e12
% 13.08/3.46 |
% 13.08/3.46 | Equations (672) can reduce 263 to:
% 13.08/3.46 | (812) ~ (all_0_143_143 = e12)
% 13.08/3.46 |
% 13.08/3.46 | Equations (672) can reduce 293 to:
% 13.08/3.46 | (888) ~ (e13 = e12)
% 13.08/3.46 |
% 13.08/3.46 | Simplifying 888 yields:
% 13.08/3.46 | (247) ~ (e13 = e12)
% 13.08/3.46 |
% 13.08/3.46 | Equations (672) can reduce 1430 to:
% 13.08/3.46 | (5) ~ (e12 = e10)
% 13.08/3.46 |
% 13.08/3.46 | From (672) and (156) follows:
% 13.08/3.46 | (1450) h2(e12) = all_0_59_59
% 13.08/3.46 |
% 13.08/3.46 +-Applying beta-rule and splitting (75), into two cases.
% 13.08/3.46 |-Branch one:
% 13.08/3.46 | (756) all_0_143_143 = e12
% 13.08/3.46 |
% 13.08/3.46 | Equations (756) can reduce 812 to:
% 13.08/3.46 | (404) $false
% 13.08/3.46 |
% 13.08/3.46 |-The branch is then unsatisfiable
% 13.08/3.46 |-Branch two:
% 13.08/3.46 | (812) ~ (all_0_143_143 = e12)
% 13.08/3.46 | (836) all_0_147_147 = e12 | all_0_152_152 = e12
% 13.08/3.46 |
% 13.08/3.46 +-Applying beta-rule and splitting (278), into two cases.
% 13.08/3.46 |-Branch one:
% 13.08/3.46 | (730) all_0_151_151 = e12
% 13.08/3.46 |
% 13.08/3.46 | Combining equations (1295,730) yields a new equation:
% 13.08/3.46 | (567) e13 = e12
% 13.08/3.46 |
% 13.08/3.46 | Simplifying 567 yields:
% 13.08/3.46 | (568) e13 = e12
% 13.08/3.46 |
% 13.08/3.46 | Equations (568) can reduce 247 to:
% 13.08/3.46 | (404) $false
% 13.08/3.46 |
% 13.08/3.46 |-The branch is then unsatisfiable
% 13.08/3.46 |-Branch two:
% 13.08/3.46 | (827) ~ (all_0_151_151 = e12)
% 13.08/3.46 | (1460) all_0_152_152 = e12 | all_0_154_154 = e12
% 13.08/3.46 |
% 13.08/3.46 +-Applying beta-rule and splitting (325), into two cases.
% 13.08/3.46 |-Branch one:
% 13.08/3.46 | (732) all_0_143_143 = e10
% 13.08/3.46 |
% 13.08/3.46 | Equations (732) can reduce 812 to:
% 13.08/3.46 | (522) ~ (e12 = e10)
% 13.08/3.46 |
% 13.08/3.46 | Simplifying 522 yields:
% 13.08/3.46 | (5) ~ (e12 = e10)
% 13.08/3.46 |
% 13.08/3.46 | From (732) and (127) follows:
% 13.08/3.46 | (1464) h2(e10) = all_0_57_57
% 13.08/3.46 |
% 13.08/3.46 +-Applying beta-rule and splitting (1460), into two cases.
% 13.08/3.46 |-Branch one:
% 13.08/3.46 | (842) all_0_152_152 = e12
% 13.08/3.46 |
% 13.08/3.46 | From (842) and (222) follows:
% 13.08/3.46 | (1466) h2(e12) = all_0_66_66
% 13.08/3.46 |
% 13.08/3.46 | Instantiating formula (283) with e12, all_0_59_59, e22 and discharging atoms h2(e12) = all_0_59_59, h2(e12) = e22, yields:
% 13.08/3.46 | (1467) all_0_59_59 = e22
% 13.08/3.46 |
% 13.08/3.46 | Instantiating formula (283) with e12, all_0_66_66, all_0_59_59 and discharging atoms h2(e12) = all_0_59_59, h2(e12) = all_0_66_66, yields:
% 13.08/3.46 | (1468) all_0_59_59 = all_0_66_66
% 13.08/3.46 |
% 13.08/3.46 | Instantiating formula (283) with e10, all_0_57_57, e20 and discharging atoms h2(e10) = all_0_57_57, h2(e10) = e20, yields:
% 13.08/3.46 | (1469) all_0_57_57 = e20
% 13.08/3.46 |
% 13.08/3.46 | Instantiating formula (283) with e10, all_0_68_68, all_0_57_57 and discharging atoms h2(e10) = all_0_57_57, h2(e10) = all_0_68_68, yields:
% 13.08/3.46 | (1470) all_0_57_57 = all_0_68_68
% 13.08/3.46 |
% 13.08/3.46 | Combining equations (1469,1470) yields a new equation:
% 13.08/3.46 | (1471) all_0_68_68 = e20
% 13.08/3.46 |
% 13.08/3.46 | Combining equations (1468,1467) yields a new equation:
% 13.08/3.46 | (1472) all_0_66_66 = e22
% 13.08/3.46 |
% 13.08/3.46 | Simplifying 1472 yields:
% 13.08/3.46 | (1473) all_0_66_66 = e22
% 13.08/3.46 |
% 13.08/3.46 | Combining equations (1471,1470) yields a new equation:
% 13.08/3.46 | (1469) all_0_57_57 = e20
% 13.08/3.46 |
% 13.08/3.46 +-Applying beta-rule and splitting (17), into two cases.
% 13.08/3.46 |-Branch one:
% 13.08/3.46 | (1475) ~ (all_0_56_56 = all_0_129_129)
% 13.08/3.46 |
% 13.08/3.46 | Equations (1246,449) can reduce 1475 to:
% 13.08/3.46 | (404) $false
% 13.08/3.46 |
% 13.08/3.46 |-The branch is then unsatisfiable
% 13.08/3.46 |-Branch two:
% 13.08/3.46 | (1477) all_0_56_56 = all_0_129_129
% 13.08/3.46 | (1478) ~ (all_0_57_57 = all_0_130_130) | ~ (all_0_58_58 = all_0_131_131) | ~ (all_0_59_59 = all_0_132_132) | ~ (all_0_60_60 = all_0_133_133) | ~ (all_0_61_61 = all_0_134_134) | ~ (all_0_62_62 = all_0_135_135) | ~ (all_0_63_63 = all_0_136_136) | ~ (all_0_64_64 = all_0_137_137) | ~ (all_0_65_65 = all_0_138_138) | ~ (all_0_66_66 = all_0_139_139) | ~ (all_0_67_67 = all_0_140_140) | ~ (all_0_68_68 = all_0_141_141)
% 13.08/3.46 |
% 13.08/3.46 +-Applying beta-rule and splitting (1478), into two cases.
% 13.08/3.46 |-Branch one:
% 13.08/3.46 | (1479) ~ (all_0_57_57 = all_0_130_130)
% 13.08/3.46 |
% 13.08/3.46 | Equations (1469,1041) can reduce 1479 to:
% 13.08/3.46 | (404) $false
% 13.08/3.46 |
% 13.08/3.46 |-The branch is then unsatisfiable
% 13.08/3.46 |-Branch two:
% 13.08/3.46 | (1481) all_0_57_57 = all_0_130_130
% 13.08/3.46 | (1482) ~ (all_0_58_58 = all_0_131_131) | ~ (all_0_59_59 = all_0_132_132) | ~ (all_0_60_60 = all_0_133_133) | ~ (all_0_61_61 = all_0_134_134) | ~ (all_0_62_62 = all_0_135_135) | ~ (all_0_63_63 = all_0_136_136) | ~ (all_0_64_64 = all_0_137_137) | ~ (all_0_65_65 = all_0_138_138) | ~ (all_0_66_66 = all_0_139_139) | ~ (all_0_67_67 = all_0_140_140) | ~ (all_0_68_68 = all_0_141_141)
% 13.08/3.46 |
% 13.08/3.46 +-Applying beta-rule and splitting (1482), into two cases.
% 13.08/3.46 |-Branch one:
% 13.08/3.47 | (1483) ~ (all_0_58_58 = all_0_131_131)
% 13.08/3.47 |
% 13.08/3.47 | Equations (1016,421) can reduce 1483 to:
% 13.08/3.47 | (404) $false
% 13.08/3.47 |
% 13.08/3.47 |-The branch is then unsatisfiable
% 13.08/3.47 |-Branch two:
% 13.08/3.47 | (1485) all_0_58_58 = all_0_131_131
% 13.08/3.47 | (1486) ~ (all_0_59_59 = all_0_132_132) | ~ (all_0_60_60 = all_0_133_133) | ~ (all_0_61_61 = all_0_134_134) | ~ (all_0_62_62 = all_0_135_135) | ~ (all_0_63_63 = all_0_136_136) | ~ (all_0_64_64 = all_0_137_137) | ~ (all_0_65_65 = all_0_138_138) | ~ (all_0_66_66 = all_0_139_139) | ~ (all_0_67_67 = all_0_140_140) | ~ (all_0_68_68 = all_0_141_141)
% 13.08/3.47 |
% 13.08/3.47 +-Applying beta-rule and splitting (1486), into two cases.
% 13.08/3.47 |-Branch one:
% 13.08/3.47 | (1487) ~ (all_0_59_59 = all_0_132_132)
% 13.08/3.47 |
% 13.08/3.47 | Equations (1467,1051) can reduce 1487 to:
% 13.08/3.47 | (404) $false
% 13.08/3.47 |
% 13.08/3.47 |-The branch is then unsatisfiable
% 13.08/3.47 |-Branch two:
% 13.08/3.47 | (1489) all_0_59_59 = all_0_132_132
% 13.08/3.47 | (1490) ~ (all_0_60_60 = all_0_133_133) | ~ (all_0_61_61 = all_0_134_134) | ~ (all_0_62_62 = all_0_135_135) | ~ (all_0_63_63 = all_0_136_136) | ~ (all_0_64_64 = all_0_137_137) | ~ (all_0_65_65 = all_0_138_138) | ~ (all_0_66_66 = all_0_139_139) | ~ (all_0_67_67 = all_0_140_140) | ~ (all_0_68_68 = all_0_141_141)
% 13.08/3.47 |
% 13.08/3.47 +-Applying beta-rule and splitting (1490), into two cases.
% 13.08/3.47 |-Branch one:
% 13.08/3.47 | (1491) ~ (all_0_60_60 = all_0_133_133)
% 13.08/3.47 |
% 13.08/3.47 | Equations (1351,1083) can reduce 1491 to:
% 13.08/3.47 | (404) $false
% 13.08/3.47 |
% 13.08/3.47 |-The branch is then unsatisfiable
% 13.08/3.47 |-Branch two:
% 13.08/3.47 | (1493) all_0_60_60 = all_0_133_133
% 13.08/3.47 | (1494) ~ (all_0_61_61 = all_0_134_134) | ~ (all_0_62_62 = all_0_135_135) | ~ (all_0_63_63 = all_0_136_136) | ~ (all_0_64_64 = all_0_137_137) | ~ (all_0_65_65 = all_0_138_138) | ~ (all_0_66_66 = all_0_139_139) | ~ (all_0_67_67 = all_0_140_140) | ~ (all_0_68_68 = all_0_141_141)
% 13.08/3.47 |
% 13.08/3.47 +-Applying beta-rule and splitting (1494), into two cases.
% 13.08/3.47 |-Branch one:
% 13.08/3.47 | (1495) ~ (all_0_61_61 = all_0_134_134)
% 13.08/3.47 |
% 13.08/3.47 | Equations (1349,1080) can reduce 1495 to:
% 13.08/3.47 | (404) $false
% 13.08/3.47 |
% 13.08/3.47 |-The branch is then unsatisfiable
% 13.08/3.47 |-Branch two:
% 13.08/3.47 | (1497) all_0_61_61 = all_0_134_134
% 13.08/3.47 | (1498) ~ (all_0_62_62 = all_0_135_135) | ~ (all_0_63_63 = all_0_136_136) | ~ (all_0_64_64 = all_0_137_137) | ~ (all_0_65_65 = all_0_138_138) | ~ (all_0_66_66 = all_0_139_139) | ~ (all_0_67_67 = all_0_140_140) | ~ (all_0_68_68 = all_0_141_141)
% 13.08/3.47 |
% 13.08/3.47 +-Applying beta-rule and splitting (1498), into two cases.
% 13.08/3.47 |-Branch one:
% 13.08/3.47 | (1499) ~ (all_0_62_62 = all_0_135_135)
% 13.08/3.47 |
% 13.08/3.47 | Equations (1248,463) can reduce 1499 to:
% 13.08/3.47 | (404) $false
% 13.08/3.47 |
% 13.08/3.47 |-The branch is then unsatisfiable
% 13.08/3.47 |-Branch two:
% 13.08/3.47 | (1501) all_0_62_62 = all_0_135_135
% 13.08/3.47 | (1502) ~ (all_0_63_63 = all_0_136_136) | ~ (all_0_64_64 = all_0_137_137) | ~ (all_0_65_65 = all_0_138_138) | ~ (all_0_66_66 = all_0_139_139) | ~ (all_0_67_67 = all_0_140_140) | ~ (all_0_68_68 = all_0_141_141)
% 13.08/3.47 |
% 13.08/3.47 +-Applying beta-rule and splitting (1502), into two cases.
% 13.08/3.47 |-Branch one:
% 13.08/3.47 | (1503) ~ (all_0_63_63 = all_0_136_136)
% 13.08/3.47 |
% 13.08/3.47 | Equations (1194,406) can reduce 1503 to:
% 13.08/3.47 | (404) $false
% 13.08/3.47 |
% 13.08/3.47 |-The branch is then unsatisfiable
% 13.08/3.47 |-Branch two:
% 13.08/3.47 | (1505) all_0_63_63 = all_0_136_136
% 13.08/3.47 | (1506) ~ (all_0_64_64 = all_0_137_137) | ~ (all_0_65_65 = all_0_138_138) | ~ (all_0_66_66 = all_0_139_139) | ~ (all_0_67_67 = all_0_140_140) | ~ (all_0_68_68 = all_0_141_141)
% 13.08/3.47 |
% 13.08/3.47 +-Applying beta-rule and splitting (1506), into two cases.
% 13.08/3.47 |-Branch one:
% 13.08/3.47 | (1507) ~ (all_0_64_64 = all_0_137_137)
% 13.08/3.47 |
% 13.08/3.47 | Equations (1193,397) can reduce 1507 to:
% 13.08/3.47 | (404) $false
% 13.08/3.47 |
% 13.08/3.47 |-The branch is then unsatisfiable
% 13.08/3.47 |-Branch two:
% 13.08/3.47 | (1509) all_0_64_64 = all_0_137_137
% 13.08/3.47 | (1510) ~ (all_0_65_65 = all_0_138_138) | ~ (all_0_66_66 = all_0_139_139) | ~ (all_0_67_67 = all_0_140_140) | ~ (all_0_68_68 = all_0_141_141)
% 13.08/3.47 |
% 13.08/3.47 +-Applying beta-rule and splitting (1510), into two cases.
% 13.08/3.47 |-Branch one:
% 13.08/3.47 | (1511) ~ (all_0_65_65 = all_0_138_138)
% 13.08/3.47 |
% 13.08/3.47 | Equations (1353,1075) can reduce 1511 to:
% 13.08/3.47 | (404) $false
% 13.08/3.47 |
% 13.08/3.47 |-The branch is then unsatisfiable
% 13.08/3.47 |-Branch two:
% 13.08/3.47 | (1513) all_0_65_65 = all_0_138_138
% 13.08/3.47 | (1514) ~ (all_0_66_66 = all_0_139_139) | ~ (all_0_67_67 = all_0_140_140) | ~ (all_0_68_68 = all_0_141_141)
% 13.08/3.47 |
% 13.08/3.47 +-Applying beta-rule and splitting (1514), into two cases.
% 13.08/3.47 |-Branch one:
% 13.08/3.47 | (1515) ~ (all_0_66_66 = all_0_139_139)
% 13.08/3.47 |
% 13.08/3.47 | Equations (1473,1174) can reduce 1515 to:
% 13.08/3.47 | (404) $false
% 13.08/3.47 |
% 13.08/3.47 |-The branch is then unsatisfiable
% 13.08/3.47 |-Branch two:
% 13.08/3.47 | (1517) all_0_66_66 = all_0_139_139
% 13.08/3.47 | (1518) ~ (all_0_67_67 = all_0_140_140) | ~ (all_0_68_68 = all_0_141_141)
% 13.08/3.47 |
% 13.08/3.47 +-Applying beta-rule and splitting (1518), into two cases.
% 13.08/3.47 |-Branch one:
% 13.08/3.47 | (1519) ~ (all_0_67_67 = all_0_140_140)
% 13.08/3.47 |
% 13.08/3.47 | Equations (1017,415) can reduce 1519 to:
% 13.08/3.47 | (404) $false
% 13.08/3.47 |
% 13.08/3.47 |-The branch is then unsatisfiable
% 13.08/3.47 |-Branch two:
% 13.08/3.47 | (1521) all_0_67_67 = all_0_140_140
% 13.08/3.47 | (1522) ~ (all_0_68_68 = all_0_141_141)
% 13.08/3.47 |
% 13.08/3.47 | Equations (1471,1112) can reduce 1522 to:
% 13.08/3.47 | (404) $false
% 13.08/3.47 |
% 13.08/3.47 |-The branch is then unsatisfiable
% 13.08/3.47 |-Branch two:
% 13.08/3.47 | (992) ~ (all_0_152_152 = e12)
% 13.08/3.47 | (566) all_0_154_154 = e12
% 13.08/3.47 |
% 13.08/3.47 | Combining equations (566,1316) yields a new equation:
% 13.08/3.47 | (559) e12 = e10
% 13.08/3.47 |
% 13.08/3.47 | Simplifying 559 yields:
% 13.08/3.47 | (560) e12 = e10
% 13.08/3.47 |
% 13.08/3.47 | Equations (560) can reduce 5 to:
% 13.08/3.47 | (404) $false
% 13.08/3.47 |
% 13.08/3.47 |-The branch is then unsatisfiable
% 13.08/3.47 |-Branch two:
% 13.08/3.47 | (677) ~ (all_0_143_143 = e10)
% 13.08/3.47 | (735) all_0_150_150 = e10 | all_0_152_152 = e10
% 13.08/3.47 |
% 13.08/3.47 +-Applying beta-rule and splitting (1444), into two cases.
% 13.08/3.47 |-Branch one:
% 13.08/3.47 | (732) all_0_143_143 = e10
% 13.08/3.47 |
% 13.08/3.47 | Equations (732) can reduce 677 to:
% 13.08/3.47 | (404) $false
% 13.08/3.47 |
% 13.08/3.47 |-The branch is then unsatisfiable
% 13.08/3.47 |-Branch two:
% 13.08/3.47 | (677) ~ (all_0_143_143 = e10)
% 13.08/3.47 | (675) all_0_145_145 = e10
% 13.08/3.47 |
% 13.08/3.47 | Combining equations (672,675) yields a new equation:
% 13.08/3.47 | (559) e12 = e10
% 13.08/3.47 |
% 13.08/3.47 | Simplifying 559 yields:
% 13.08/3.47 | (560) e12 = e10
% 13.08/3.47 |
% 13.08/3.47 | Equations (560) can reduce 5 to:
% 13.08/3.47 | (404) $false
% 13.08/3.47 |
% 13.08/3.47 |-The branch is then unsatisfiable
% 13.08/3.47 |-Branch two:
% 13.08/3.47 | (648) ~ (all_0_145_145 = e12)
% 13.08/3.47 | (1312) all_0_148_148 = e12 | all_0_154_154 = e12
% 13.08/3.47 |
% 13.08/3.47 +-Applying beta-rule and splitting (660), into two cases.
% 13.08/3.47 |-Branch one:
% 13.08/3.47 | (672) all_0_145_145 = e12
% 13.08/3.47 |
% 13.08/3.47 | Equations (672) can reduce 648 to:
% 13.08/3.47 | (404) $false
% 13.08/3.47 |
% 13.08/3.47 |-The branch is then unsatisfiable
% 13.08/3.47 |-Branch two:
% 13.08/3.47 | (648) ~ (all_0_145_145 = e12)
% 13.08/3.47 | (675) all_0_145_145 = e10
% 13.08/3.47 |
% 13.38/3.47 | Equations (675) can reduce 1430 to:
% 13.38/3.47 | (404) $false
% 13.38/3.47 |
% 13.38/3.47 |-The branch is then unsatisfiable
% 13.38/3.47 |-Branch two:
% 13.38/3.47 | (1298) ~ (all_0_151_151 = e13)
% 13.38/3.47 | (1299) all_0_152_152 = e13 | all_0_153_153 = e13
% 13.38/3.47 |
% 13.38/3.47 +-Applying beta-rule and splitting (158), into two cases.
% 13.38/3.47 |-Branch one:
% 13.38/3.47 | (736) all_0_142_142 = e13
% 13.38/3.47 |
% 13.38/3.47 | Combining equations (574,736) yields a new equation:
% 13.38/3.47 | (719) e13 = e11
% 13.38/3.47 |
% 13.38/3.47 | Equations (719) can reduce 351 to:
% 13.38/3.47 | (404) $false
% 13.38/3.47 |
% 13.38/3.47 |-The branch is then unsatisfiable
% 13.38/3.47 |-Branch two:
% 13.38/3.47 | (819) ~ (all_0_142_142 = e13)
% 13.38/3.47 | (1551) all_0_146_146 = e13 | all_0_151_151 = e13
% 13.38/3.47 |
% 13.38/3.47 +-Applying beta-rule and splitting (1551), into two cases.
% 13.38/3.47 |-Branch one:
% 13.38/3.47 | (718) all_0_146_146 = e13
% 13.38/3.47 |
% 13.38/3.47 | Combining equations (718,857) yields a new equation:
% 13.38/3.47 | (567) e13 = e12
% 13.38/3.47 |
% 13.38/3.47 | Simplifying 567 yields:
% 13.38/3.47 | (568) e13 = e12
% 13.38/3.47 |
% 13.38/3.47 | Equations (568) can reduce 247 to:
% 13.38/3.47 | (404) $false
% 13.38/3.47 |
% 13.38/3.47 |-The branch is then unsatisfiable
% 13.38/3.47 |-Branch two:
% 13.38/3.47 | (721) ~ (all_0_146_146 = e13)
% 13.38/3.47 | (1295) all_0_151_151 = e13
% 13.38/3.47 |
% 13.38/3.47 | Equations (1295) can reduce 1298 to:
% 13.38/3.47 | (404) $false
% 13.38/3.47 |
% 13.38/3.47 |-The branch is then unsatisfiable
% 13.38/3.47 |-Branch two:
% 13.38/3.47 | (649) ~ (all_0_146_146 = e12)
% 13.38/3.47 | (718) all_0_146_146 = e13
% 13.38/3.47 |
% 13.38/3.47 | Equations (718) can reduce 721 to:
% 13.38/3.47 | (404) $false
% 13.38/3.47 |
% 13.38/3.47 |-The branch is then unsatisfiable
% 13.38/3.47 |-Branch two:
% 13.38/3.47 | (646) ~ (all_0_148_148 = e11)
% 13.38/3.47 | (666) all_0_154_154 = e11
% 13.38/3.47 |
% 13.38/3.47 | Equations (666) can reduce 1003 to:
% 13.38/3.47 | (404) $false
% 13.38/3.47 |
% 13.38/3.47 |-The branch is then unsatisfiable
% 13.38/3.47 |-Branch two:
% 13.38/3.47 | (512) ~ (all_0_150_150 = e11)
% 13.38/3.47 | (521) all_0_150_150 = e10
% 13.38/3.47 |
% 13.38/3.47 | Equations (521) can reduce 62 to:
% 13.38/3.47 | (520) ~ (all_0_149_149 = e10)
% 13.38/3.48 |
% 13.38/3.48 | Equations (521) can reduce 22 to:
% 13.38/3.48 | (522) ~ (e12 = e10)
% 13.38/3.48 |
% 13.38/3.48 | Simplifying 522 yields:
% 13.38/3.48 | (5) ~ (e12 = e10)
% 13.38/3.48 |
% 13.38/3.48 | From (521)(521) and (185) follows:
% 13.38/3.48 | (1570) op1(e10, e10) = all_0_122_122
% 13.38/3.48 |
% 13.38/3.48 +-Applying beta-rule and splitting (111), into two cases.
% 13.38/3.48 |-Branch one:
% 13.38/3.48 | (509) all_0_149_149 = e11
% 13.38/3.48 |
% 13.38/3.48 | Equations (509) can reduce 8 to:
% 13.38/3.48 | (483) ~ (all_0_142_142 = e11)
% 13.38/3.48 |
% 13.38/3.48 | Equations (509) can reduce 309 to:
% 13.38/3.48 | (513) ~ (e12 = e11)
% 13.38/3.48 |
% 13.38/3.48 | Simplifying 513 yields:
% 13.38/3.48 | (91) ~ (e12 = e11)
% 13.38/3.48 |
% 13.38/3.48 | From (509)(509) and (378) follows:
% 13.38/3.48 | (515) op1(e11, e11) = all_0_118_118
% 13.38/3.48 |
% 13.38/3.48 | Instantiating formula (133) with e11, e11, all_0_118_118, e12 and discharging atoms op1(e11, e11) = all_0_118_118, op1(e11, e11) = e12, yields:
% 13.38/3.48 | (541) all_0_118_118 = e12
% 13.38/3.48 |
% 13.38/3.48 | Instantiating formula (133) with e10, e10, all_0_122_122, all_0_154_154 and discharging atoms op1(e10, e10) = all_0_122_122, op1(e10, e10) = all_0_154_154, yields:
% 13.38/3.48 | (1577) all_0_122_122 = all_0_154_154
% 13.38/3.48 |
% 13.38/3.48 +-Applying beta-rule and splitting (103), into two cases.
% 13.38/3.48 |-Branch one:
% 13.38/3.48 | (545) (all_0_116_116 = e13 & all_0_117_117 = e12 & all_0_118_118 = e11 & all_0_119_119 = e10) | (all_0_120_120 = e13 & all_0_121_121 = e12 & all_0_122_122 = e11 & all_0_123_123 = e10) | (all_0_124_124 = e13 & all_0_125_125 = e10 & all_0_147_147 = e11 & all_0_154_154 = e12)
% 13.38/3.48 |
% 13.38/3.48 +-Applying beta-rule and splitting (545), into two cases.
% 13.38/3.48 |-Branch one:
% 13.38/3.48 | (546) (all_0_116_116 = e13 & all_0_117_117 = e12 & all_0_118_118 = e11 & all_0_119_119 = e10) | (all_0_120_120 = e13 & all_0_121_121 = e12 & all_0_122_122 = e11 & all_0_123_123 = e10)
% 13.38/3.48 |
% 13.38/3.48 +-Applying beta-rule and splitting (546), into two cases.
% 13.38/3.48 |-Branch one:
% 13.38/3.48 | (547) all_0_116_116 = e13 & all_0_117_117 = e12 & all_0_118_118 = e11 & all_0_119_119 = e10
% 13.38/3.48 |
% 13.38/3.48 | Applying alpha-rule on (547) yields:
% 13.38/3.48 | (548) all_0_116_116 = e13
% 13.38/3.48 | (549) all_0_117_117 = e12
% 13.38/3.48 | (550) all_0_118_118 = e11
% 13.38/3.48 | (551) all_0_119_119 = e10
% 13.38/3.48 |
% 13.38/3.48 | Combining equations (550,541) yields a new equation:
% 13.38/3.48 | (552) e12 = e11
% 13.38/3.48 |
% 13.38/3.48 | Equations (552) can reduce 91 to:
% 13.38/3.48 | (404) $false
% 13.38/3.48 |
% 13.38/3.48 |-The branch is then unsatisfiable
% 13.38/3.48 |-Branch two:
% 13.38/3.48 | (554) all_0_120_120 = e13 & all_0_121_121 = e12 & all_0_122_122 = e11 & all_0_123_123 = e10
% 13.38/3.48 |
% 13.38/3.48 | Applying alpha-rule on (554) yields:
% 13.38/3.48 | (555) all_0_120_120 = e13
% 13.38/3.48 | (556) all_0_121_121 = e12
% 13.38/3.48 | (557) all_0_122_122 = e11
% 13.38/3.48 | (558) all_0_123_123 = e10
% 13.38/3.48 |
% 13.38/3.48 | Combining equations (1577,557) yields a new equation:
% 13.38/3.48 | (1592) all_0_154_154 = e11
% 13.38/3.48 |
% 13.38/3.48 | Simplifying 1592 yields:
% 13.38/3.48 | (666) all_0_154_154 = e11
% 13.38/3.48 |
% 13.38/3.48 | Equations (666) can reduce 1003 to:
% 13.38/3.48 | (404) $false
% 13.38/3.48 |
% 13.38/3.48 |-The branch is then unsatisfiable
% 13.38/3.48 |-Branch two:
% 13.38/3.48 | (562) all_0_124_124 = e13 & all_0_125_125 = e10 & all_0_147_147 = e11 & all_0_154_154 = e12
% 13.38/3.48 |
% 13.38/3.48 | Applying alpha-rule on (562) yields:
% 13.38/3.48 | (563) all_0_124_124 = e13
% 13.38/3.48 | (564) all_0_125_125 = e10
% 13.38/3.48 | (530) all_0_147_147 = e11
% 13.38/3.48 | (566) all_0_154_154 = e12
% 13.38/3.48 |
% 13.38/3.48 | Combining equations (892,564) yields a new equation:
% 13.38/3.48 | (559) e12 = e10
% 13.38/3.48 |
% 13.38/3.48 | Simplifying 559 yields:
% 13.38/3.48 | (560) e12 = e10
% 13.38/3.48 |
% 13.38/3.48 | Equations (560) can reduce 5 to:
% 13.38/3.48 | (404) $false
% 13.38/3.48 |
% 13.38/3.48 |-The branch is then unsatisfiable
% 13.38/3.48 |-Branch two:
% 13.38/3.48 | (570) all_0_126_126 = e13 & all_0_127_127 = e12 & all_0_128_128 = e10 & all_0_142_142 = e11
% 13.38/3.48 |
% 13.38/3.48 | Applying alpha-rule on (570) yields:
% 13.38/3.48 | (571) all_0_126_126 = e13
% 13.38/3.48 | (507) all_0_127_127 = e12
% 13.38/3.48 | (573) all_0_128_128 = e10
% 13.38/3.48 | (574) all_0_142_142 = e11
% 13.38/3.48 |
% 13.38/3.48 | Equations (574) can reduce 483 to:
% 13.38/3.48 | (404) $false
% 13.38/3.48 |
% 13.38/3.48 |-The branch is then unsatisfiable
% 13.38/3.48 |-Branch two:
% 13.38/3.48 | (576) ~ (all_0_149_149 = e11)
% 13.38/3.48 | (516) all_0_149_149 = e10
% 13.38/3.48 |
% 13.38/3.48 | Equations (516) can reduce 520 to:
% 13.38/3.48 | (404) $false
% 13.38/3.48 |
% 13.38/3.48 |-The branch is then unsatisfiable
% 13.38/3.48 |-Branch two:
% 13.38/3.48 | (1612) ~ (all_0_139_139 = e22)
% 13.38/3.48 | (1613) all_0_139_139 = e23 | all_0_139_139 = e20
% 13.38/3.48 |
% 13.38/3.48 +-Applying beta-rule and splitting (1169), into two cases.
% 13.38/3.48 |-Branch one:
% 13.38/3.48 | (1174) all_0_139_139 = e22
% 13.38/3.48 |
% 13.38/3.48 | Equations (1174) can reduce 1612 to:
% 13.38/3.48 | (404) $false
% 13.38/3.48 |
% 13.38/3.48 |-The branch is then unsatisfiable
% 13.38/3.48 |-Branch two:
% 13.38/3.48 | (1612) ~ (all_0_139_139 = e22)
% 13.38/3.48 | (443) all_0_141_141 = e22
% 13.38/3.48 |
% 13.38/3.48 | Combining equations (1112,443) yields a new equation:
% 13.38/3.48 | (1042) e22 = e20
% 13.38/3.48 |
% 13.38/3.48 | Equations (1042) can reduce 239 to:
% 13.38/3.48 | (404) $false
% 13.38/3.48 |
% 13.38/3.48 |-The branch is then unsatisfiable
% 13.38/3.48 |-Branch two:
% 13.38/3.48 | (1095) ~ (all_0_133_133 = e22)
% 13.38/3.48 | (1077) all_0_133_133 = e23
% 13.38/3.48 |
% 13.38/3.48 | Equations (1077) can reduce 1076 to:
% 13.38/3.48 | (404) $false
% 13.38/3.48 |
% 13.38/3.48 |-The branch is then unsatisfiable
% 13.38/3.48 |-Branch two:
% 13.38/3.48 | (1108) ~ (all_0_138_138 = e23)
% 13.38/3.48 | (1624) all_0_139_139 = e23 | all_0_140_140 = e23
% 13.38/3.48 |
% 13.38/3.48 +-Applying beta-rule and splitting (208), into two cases.
% 13.38/3.48 |-Branch one:
% 13.38/3.48 | (1625) all_0_129_129 = e23
% 13.38/3.48 |
% 13.38/3.48 | Combining equations (449,1625) yields a new equation:
% 13.38/3.48 | (1626) e23 = e21
% 13.38/3.48 |
% 13.38/3.48 | Equations (1626) can reduce 169 to:
% 13.38/3.48 | (404) $false
% 13.38/3.48 |
% 13.38/3.48 |-The branch is then unsatisfiable
% 13.38/3.48 |-Branch two:
% 13.38/3.48 | (1628) ~ (all_0_129_129 = e23)
% 13.38/3.48 | (1629) all_0_133_133 = e23 | all_0_138_138 = e23
% 13.38/3.48 |
% 13.38/3.48 | Equations (449) can reduce 1628 to:
% 13.38/3.48 | (400) ~ (e23 = e21)
% 13.38/3.48 |
% 13.38/3.48 | Simplifying 400 yields:
% 13.38/3.48 | (169) ~ (e23 = e21)
% 13.38/3.48 |
% 13.38/3.48 +-Applying beta-rule and splitting (1624), into two cases.
% 13.38/3.48 |-Branch one:
% 13.38/3.48 | (1632) all_0_139_139 = e23
% 13.38/3.48 |
% 13.38/3.48 | Equations (1632) can reduce 1145 to:
% 13.38/3.48 | (404) $false
% 13.38/3.48 |
% 13.38/3.48 |-The branch is then unsatisfiable
% 13.38/3.48 |-Branch two:
% 13.38/3.48 | (1145) ~ (all_0_139_139 = e23)
% 13.38/3.48 | (1635) all_0_140_140 = e23
% 13.38/3.48 |
% 13.38/3.48 | Combining equations (415,1635) yields a new equation:
% 13.38/3.48 | (1626) e23 = e21
% 13.38/3.48 |
% 13.38/3.48 | Equations (1626) can reduce 169 to:
% 13.38/3.48 | (404) $false
% 13.38/3.48 |
% 13.38/3.48 |-The branch is then unsatisfiable
% 13.38/3.48 |-Branch two:
% 13.38/3.48 | (1054) ~ (all_0_132_132 = e22)
% 13.38/3.48 | (1021) all_0_132_132 = e20
% 13.38/3.48 |
% 13.38/3.48 | Equations (1021) can reduce 1121 to:
% 13.38/3.48 | (404) $false
% 13.38/3.48 |
% 13.38/3.48 |-The branch is then unsatisfiable
% 13.38/3.48 |-Branch two:
% 13.38/3.48 | (1641) ~ (all_0_135_135 = e21)
% 13.38/3.48 | (430) all_0_141_141 = e21
% 13.38/3.48 |
% 13.38/3.48 | Equations (430) can reduce 418 to:
% 13.38/3.48 | (404) $false
% 13.38/3.48 |
% 13.38/3.48 |-The branch is then unsatisfiable
% 13.38/3.48 |-Branch two:
% 13.38/3.48 | (1644) ~ (all_0_131_131 = e23)
% 13.38/3.48 | (1635) all_0_140_140 = e23
% 13.38/3.48 |
% 13.38/3.48 | Combining equations (415,1635) yields a new equation:
% 13.38/3.48 | (1626) e23 = e21
% 13.38/3.48 |
% 13.38/3.48 | Equations (1626) can reduce 169 to:
% 13.38/3.48 | (404) $false
% 13.38/3.48 |
% 13.38/3.48 |-The branch is then unsatisfiable
% 13.38/3.48 |-Branch two:
% 13.38/3.48 | (1648) ~ (all_0_140_140 = e21)
% 13.38/3.48 | (1635) all_0_140_140 = e23
% 13.38/3.48 |
% 13.38/3.48 | Equations (1635) can reduce 181 to:
% 13.38/3.48 | (1650) ~ (all_0_141_141 = e23)
% 13.38/3.48 |
% 13.38/3.48 | Simplifying 1650 yields:
% 13.38/3.48 | (307) ~ (all_0_141_141 = e23)
% 13.38/3.48 |
% 13.38/3.48 | Equations (1635) can reduce 1648 to:
% 13.38/3.48 | (169) ~ (e23 = e21)
% 13.38/3.48 |
% 13.38/3.48 +-Applying beta-rule and splitting (267), into two cases.
% 13.38/3.48 |-Branch one:
% 13.38/3.48 | (1653) all_0_131_131 = e21
% 13.38/3.48 |
% 13.38/3.48 | Equations (1653) can reduce 275 to:
% 13.38/3.48 | (1654) ~ (all_0_129_129 = e21)
% 13.38/3.48 |
% 13.38/3.48 | Equations (1653) can reduce 326 to:
% 13.38/3.48 | (451) ~ (all_0_130_130 = e21)
% 13.38/3.48 |
% 13.38/3.48 | Equations (1653) can reduce 186 to:
% 13.38/3.48 | (419) ~ (e22 = e21)
% 13.38/3.48 |
% 13.38/3.48 | Simplifying 419 yields:
% 13.38/3.48 | (80) ~ (e22 = e21)
% 13.38/3.48 |
% 13.38/3.48 | Equations (1653) can reduce 97 to:
% 13.38/3.48 | (323) ~ (e21 = e20)
% 13.38/3.48 |
% 13.38/3.48 +-Applying beta-rule and splitting (84), into two cases.
% 13.38/3.48 |-Branch one:
% 13.38/3.48 | (423) (all_0_103_103 = e23 & all_0_104_104 = e22 & all_0_105_105 = e21 & all_0_106_106 = e20) | (all_0_107_107 = e23 & all_0_108_108 = e22 & all_0_109_109 = e21 & all_0_110_110 = e20) | (all_0_111_111 = e23 & all_0_112_112 = e20 & all_0_134_134 = e21 & all_0_141_141 = e22)
% 13.38/3.48 |
% 13.38/3.48 +-Applying beta-rule and splitting (423), into two cases.
% 13.38/3.48 |-Branch one:
% 13.38/3.48 | (424) (all_0_103_103 = e23 & all_0_104_104 = e22 & all_0_105_105 = e21 & all_0_106_106 = e20) | (all_0_107_107 = e23 & all_0_108_108 = e22 & all_0_109_109 = e21 & all_0_110_110 = e20)
% 13.38/3.48 |
% 13.38/3.48 +-Applying beta-rule and splitting (424), into two cases.
% 13.38/3.48 |-Branch one:
% 13.38/3.48 | (425) all_0_103_103 = e23 & all_0_104_104 = e22 & all_0_105_105 = e21 & all_0_106_106 = e20
% 13.38/3.48 |
% 13.38/3.48 | Applying alpha-rule on (425) yields:
% 13.38/3.48 | (426) all_0_103_103 = e23
% 13.38/3.48 | (427) all_0_104_104 = e22
% 13.38/3.48 | (428) all_0_105_105 = e21
% 13.38/3.48 | (429) all_0_106_106 = e20
% 13.38/3.48 |
% 13.38/3.48 | Combining equations (428,413) yields a new equation:
% 13.38/3.48 | (430) all_0_141_141 = e21
% 13.38/3.48 |
% 13.38/3.48 | Equations (430) can reduce 214 to:
% 13.38/3.48 | (453) ~ (all_0_132_132 = e21)
% 13.38/3.48 |
% 13.38/3.48 | Equations (430) can reduce 163 to:
% 13.38/3.48 | (1641) ~ (all_0_135_135 = e21)
% 13.38/3.48 |
% 13.38/3.48 | Equations (430) can reduce 337 to:
% 13.38/3.48 | (455) ~ (all_0_138_138 = e21)
% 13.38/3.48 |
% 13.38/3.49 | Equations (430) can reduce 90 to:
% 13.38/3.49 | (416) ~ (all_0_139_139 = e21)
% 13.38/3.49 |
% 13.38/3.49 | Equations (430) can reduce 307 to:
% 13.38/3.49 | (400) ~ (e23 = e21)
% 13.38/3.49 |
% 13.38/3.49 | Simplifying 400 yields:
% 13.38/3.49 | (169) ~ (e23 = e21)
% 13.38/3.49 |
% 13.38/3.49 | From (429) and (106) follows:
% 13.38/3.49 | (1673) op2(all_0_138_138, all_0_138_138) = e20
% 13.38/3.49 |
% 13.38/3.49 +-Applying beta-rule and splitting (382), into two cases.
% 13.38/3.49 |-Branch one:
% 13.38/3.49 | (1067) all_0_138_138 = e21
% 13.38/3.49 |
% 13.38/3.49 | Equations (1067) can reduce 455 to:
% 13.38/3.49 | (404) $false
% 13.38/3.49 |
% 13.38/3.49 |-The branch is then unsatisfiable
% 13.38/3.49 |-Branch two:
% 13.38/3.49 | (455) ~ (all_0_138_138 = e21)
% 13.38/3.49 | (1070) all_0_138_138 = e23 | all_0_138_138 = e22 | all_0_138_138 = e20
% 13.38/3.49 |
% 13.38/3.49 +-Applying beta-rule and splitting (1070), into two cases.
% 13.38/3.49 |-Branch one:
% 13.38/3.49 | (1071) all_0_138_138 = e22
% 13.38/3.49 |
% 13.38/3.49 | Equations (1071) can reduce 87 to:
% 13.38/3.49 | (1679) ~ (all_0_139_139 = e22)
% 13.38/3.49 |
% 13.38/3.49 | Simplifying 1679 yields:
% 13.38/3.49 | (1612) ~ (all_0_139_139 = e22)
% 13.38/3.49 |
% 13.38/3.49 | From (1071)(1071) and (1673) follows:
% 13.38/3.49 | (1065) op2(e22, e22) = e20
% 13.38/3.49 |
% 13.38/3.49 +-Applying beta-rule and splitting (134), into two cases.
% 13.38/3.49 |-Branch one:
% 13.38/3.49 | (1021) all_0_132_132 = e20
% 13.38/3.49 |
% 13.38/3.49 | Equations (1021) can reduce 335 to:
% 13.38/3.49 | (1683) ~ (all_0_135_135 = e20)
% 13.38/3.49 |
% 13.38/3.49 | Simplifying 1683 yields:
% 13.38/3.49 | (218) ~ (all_0_135_135 = e20)
% 13.38/3.49 |
% 13.38/3.49 | Equations (1021) can reduce 453 to:
% 13.38/3.49 | (1685) ~ (e21 = e20)
% 13.38/3.49 |
% 13.38/3.49 | Simplifying 1685 yields:
% 13.38/3.49 | (323) ~ (e21 = e20)
% 13.38/3.49 |
% 13.38/3.49 +-Applying beta-rule and splitting (190), into two cases.
% 13.38/3.49 |-Branch one:
% 13.38/3.49 | (463) all_0_135_135 = e21
% 13.38/3.49 |
% 13.38/3.49 | Equations (463) can reduce 1641 to:
% 13.38/3.49 | (404) $false
% 13.38/3.49 |
% 13.38/3.49 |-The branch is then unsatisfiable
% 13.38/3.49 |-Branch two:
% 13.38/3.49 | (1641) ~ (all_0_135_135 = e21)
% 13.38/3.49 | (1058) all_0_135_135 = e22
% 13.38/3.49 |
% 13.38/3.49 | Equations (1058) can reduce 359 to:
% 13.38/3.49 | (1038) ~ (all_0_134_134 = e22)
% 13.38/3.49 |
% 13.38/3.49 | Equations (1058) can reduce 96 to:
% 13.38/3.49 | (1154) ~ (e23 = e22)
% 13.38/3.49 |
% 13.38/3.49 | Simplifying 1154 yields:
% 13.38/3.49 | (360) ~ (e23 = e22)
% 13.38/3.49 |
% 13.38/3.49 | Equations (1058) can reduce 1641 to:
% 13.38/3.49 | (80) ~ (e22 = e21)
% 13.38/3.49 |
% 13.38/3.49 | Equations (1058) can reduce 218 to:
% 13.38/3.49 | (239) ~ (e22 = e20)
% 13.38/3.49 |
% 13.38/3.49 | From (1058)(1058) and (3) follows:
% 13.38/3.49 | (1696) op2(e22, e22) = all_0_114_114
% 13.38/3.49 |
% 13.38/3.49 +-Applying beta-rule and splitting (35), into two cases.
% 13.38/3.49 |-Branch one:
% 13.38/3.49 | (1047) all_0_138_138 = e20
% 13.38/3.49 |
% 13.38/3.49 | Combining equations (1047,1071) yields a new equation:
% 13.38/3.49 | (1042) e22 = e20
% 13.38/3.49 |
% 13.38/3.49 | Equations (1042) can reduce 239 to:
% 13.38/3.49 | (404) $false
% 13.38/3.49 |
% 13.38/3.49 |-The branch is then unsatisfiable
% 13.38/3.49 |-Branch two:
% 13.38/3.49 | (409) ~ (all_0_138_138 = e20)
% 13.38/3.49 | (1050) all_0_139_139 = e20 | all_0_141_141 = e20
% 13.38/3.49 |
% 13.38/3.49 +-Applying beta-rule and splitting (1050), into two cases.
% 13.38/3.49 |-Branch one:
% 13.38/3.49 | (1056) all_0_139_139 = e20
% 13.38/3.49 |
% 13.38/3.49 | Equations (1056) can reduce 290 to:
% 13.38/3.49 | (264) ~ (all_0_134_134 = e20)
% 13.38/3.49 |
% 13.38/3.49 | Equations (1056) can reduce 1612 to:
% 13.38/3.49 | (1162) ~ (e22 = e20)
% 13.38/3.49 |
% 13.38/3.49 | Simplifying 1162 yields:
% 13.38/3.49 | (239) ~ (e22 = e20)
% 13.38/3.49 |
% 13.38/3.49 | Equations (1056) can reduce 416 to:
% 13.38/3.49 | (1685) ~ (e21 = e20)
% 13.38/3.49 |
% 13.38/3.49 | Simplifying 1685 yields:
% 13.38/3.49 | (323) ~ (e21 = e20)
% 13.38/3.49 |
% 13.38/3.49 +-Applying beta-rule and splitting (355), into two cases.
% 13.38/3.49 |-Branch one:
% 13.38/3.49 | (449) all_0_129_129 = e21
% 13.38/3.49 |
% 13.38/3.49 | Equations (449) can reduce 1654 to:
% 13.38/3.49 | (404) $false
% 13.38/3.49 |
% 13.38/3.49 |-The branch is then unsatisfiable
% 13.38/3.49 |-Branch two:
% 13.38/3.49 | (1654) ~ (all_0_129_129 = e21)
% 13.38/3.49 | (1711) all_0_133_133 = e21 | all_0_136_136 = e21 | all_0_138_138 = e21
% 13.38/3.49 |
% 13.38/3.49 +-Applying beta-rule and splitting (1711), into two cases.
% 13.38/3.49 |-Branch one:
% 13.38/3.49 | (1149) all_0_133_133 = e21
% 13.38/3.49 |
% 13.38/3.49 | Equations (1149) can reduce 248 to:
% 13.38/3.49 | (1654) ~ (all_0_129_129 = e21)
% 13.38/3.49 |
% 13.38/3.49 +-Applying beta-rule and splitting (208), into two cases.
% 13.38/3.49 |-Branch one:
% 13.38/3.49 | (1625) all_0_129_129 = e23
% 13.38/3.49 |
% 13.38/3.49 | Equations (1625) can reduce 1654 to:
% 13.38/3.49 | (169) ~ (e23 = e21)
% 13.38/3.49 |
% 13.38/3.49 +-Applying beta-rule and splitting (38), into two cases.
% 13.38/3.49 |-Branch one:
% 13.38/3.49 | (1036) all_0_130_130 = e22
% 13.38/3.49 |
% 13.38/3.49 | From (1036)(1036) and (189) follows:
% 13.38/3.49 | (1717) op2(e22, e22) = all_0_107_107
% 13.38/3.49 |
% 13.38/3.49 +-Applying beta-rule and splitting (49), into two cases.
% 13.38/3.49 |-Branch one:
% 13.38/3.49 | (1077) all_0_133_133 = e23
% 13.38/3.49 |
% 13.38/3.49 | Combining equations (1149,1077) yields a new equation:
% 13.38/3.49 | (1626) e23 = e21
% 13.38/3.49 |
% 13.38/3.49 | Equations (1626) can reduce 169 to:
% 13.38/3.49 | (404) $false
% 13.38/3.49 |
% 13.38/3.49 |-The branch is then unsatisfiable
% 13.38/3.49 |-Branch two:
% 13.38/3.49 | (1076) ~ (all_0_133_133 = e23)
% 13.38/3.49 | (1080) all_0_134_134 = e23
% 13.38/3.49 |
% 13.38/3.49 | Equations (1080) can reduce 264 to:
% 13.38/3.49 | (10) ~ (e23 = e20)
% 13.38/3.49 |
% 13.38/3.49 | From (1080) and (188) follows:
% 13.38/3.49 | (1082) op2(e22, e22) = e23
% 13.38/3.49 |
% 13.38/3.49 | Instantiating formula (236) with e22, e22, all_0_114_114, all_0_107_107 and discharging atoms op2(e22, e22) = all_0_107_107, op2(e22, e22) = all_0_114_114, yields:
% 13.38/3.49 | (1725) all_0_107_107 = all_0_114_114
% 13.38/3.49 |
% 13.38/3.49 | Instantiating formula (236) with e22, e22, e23, all_0_114_114 and discharging atoms op2(e22, e22) = all_0_114_114, op2(e22, e22) = e23, yields:
% 13.38/3.49 | (1726) all_0_114_114 = e23
% 13.38/3.49 |
% 13.38/3.49 | Instantiating formula (236) with e22, e22, e20, all_0_107_107 and discharging atoms op2(e22, e22) = all_0_107_107, op2(e22, e22) = e20, yields:
% 13.38/3.49 | (1727) all_0_107_107 = e20
% 13.38/3.49 |
% 13.38/3.49 | Combining equations (1725,1727) yields a new equation:
% 13.38/3.49 | (1728) all_0_114_114 = e20
% 13.38/3.49 |
% 13.38/3.49 | Simplifying 1728 yields:
% 13.38/3.49 | (1729) all_0_114_114 = e20
% 13.38/3.49 |
% 13.38/3.49 | Combining equations (1726,1729) yields a new equation:
% 13.38/3.49 | (1730) e23 = e20
% 13.38/3.49 |
% 13.38/3.49 | Simplifying 1730 yields:
% 13.38/3.49 | (1085) e23 = e20
% 13.38/3.49 |
% 13.38/3.49 | Equations (1085) can reduce 10 to:
% 13.38/3.49 | (404) $false
% 13.38/3.49 |
% 13.38/3.49 |-The branch is then unsatisfiable
% 13.38/3.49 |-Branch two:
% 13.38/3.49 | (1114) ~ (all_0_130_130 = e22)
% 13.38/3.49 | (1161) all_0_134_134 = e22 | all_0_139_139 = e22
% 13.38/3.49 |
% 13.38/3.49 +-Applying beta-rule and splitting (1161), into two cases.
% 13.38/3.49 |-Branch one:
% 13.38/3.49 | (1735) all_0_134_134 = e22
% 13.38/3.49 |
% 13.38/3.49 | Equations (1735) can reduce 1038 to:
% 13.38/3.49 | (404) $false
% 13.38/3.49 |
% 13.38/3.49 |-The branch is then unsatisfiable
% 13.38/3.49 |-Branch two:
% 13.38/3.49 | (1038) ~ (all_0_134_134 = e22)
% 13.38/3.49 | (1174) all_0_139_139 = e22
% 13.38/3.49 |
% 13.38/3.49 | Combining equations (1056,1174) yields a new equation:
% 13.38/3.49 | (1042) e22 = e20
% 13.38/3.49 |
% 13.38/3.49 | Equations (1042) can reduce 239 to:
% 13.38/3.49 | (404) $false
% 13.38/3.49 |
% 13.38/3.49 |-The branch is then unsatisfiable
% 13.38/3.49 |-Branch two:
% 13.38/3.49 | (1628) ~ (all_0_129_129 = e23)
% 13.38/3.49 | (1629) all_0_133_133 = e23 | all_0_138_138 = e23
% 13.38/3.49 |
% 13.38/3.49 +-Applying beta-rule and splitting (1629), into two cases.
% 13.38/3.49 |-Branch one:
% 13.38/3.49 | (1077) all_0_133_133 = e23
% 13.38/3.49 |
% 13.38/3.49 | Combining equations (1149,1077) yields a new equation:
% 13.38/3.49 | (1626) e23 = e21
% 13.38/3.49 |
% 13.38/3.49 | Equations (1626) can reduce 169 to:
% 13.38/3.49 | (404) $false
% 13.38/3.49 |
% 13.38/3.49 |-The branch is then unsatisfiable
% 13.38/3.49 |-Branch two:
% 13.38/3.49 | (1076) ~ (all_0_133_133 = e23)
% 13.38/3.49 | (1075) all_0_138_138 = e23
% 13.38/3.49 |
% 13.38/3.49 | Combining equations (1071,1075) yields a new equation:
% 13.38/3.49 | (1092) e23 = e22
% 13.38/3.49 |
% 13.38/3.49 | Equations (1092) can reduce 360 to:
% 13.38/3.49 | (404) $false
% 13.38/3.49 |
% 13.38/3.49 |-The branch is then unsatisfiable
% 13.38/3.49 |-Branch two:
% 13.38/3.49 | (465) ~ (all_0_133_133 = e21)
% 13.38/3.49 | (1751) all_0_136_136 = e21 | all_0_138_138 = e21
% 13.38/3.49 |
% 13.38/3.49 +-Applying beta-rule and splitting (1751), into two cases.
% 13.38/3.49 |-Branch one:
% 13.38/3.49 | (403) all_0_136_136 = e21
% 13.38/3.49 |
% 13.38/3.49 | Combining equations (406,403) yields a new equation:
% 13.38/3.49 | (1753) e21 = e20
% 13.38/3.49 |
% 13.38/3.49 | Equations (1753) can reduce 323 to:
% 13.38/3.49 | (404) $false
% 13.38/3.49 |
% 13.38/3.49 |-The branch is then unsatisfiable
% 13.38/3.49 |-Branch two:
% 13.38/3.49 | (399) ~ (all_0_136_136 = e21)
% 13.38/3.49 | (1067) all_0_138_138 = e21
% 13.38/3.49 |
% 13.38/3.49 | Combining equations (1071,1067) yields a new equation:
% 13.38/3.49 | (1757) e22 = e21
% 13.38/3.49 |
% 13.38/3.49 | Simplifying 1757 yields:
% 13.38/3.49 | (437) e22 = e21
% 13.38/3.49 |
% 13.38/3.49 | Equations (437) can reduce 80 to:
% 13.38/3.49 | (404) $false
% 13.38/3.49 |
% 13.38/3.49 |-The branch is then unsatisfiable
% 13.38/3.49 |-Branch two:
% 13.38/3.49 | (1111) ~ (all_0_139_139 = e20)
% 13.38/3.50 | (1112) all_0_141_141 = e20
% 13.38/3.50 |
% 13.38/3.50 | Combining equations (430,1112) yields a new equation:
% 13.38/3.50 | (1762) e21 = e20
% 13.38/3.50 |
% 13.38/3.50 | Simplifying 1762 yields:
% 13.38/3.50 | (1753) e21 = e20
% 13.38/3.50 |
% 13.38/3.50 | Equations (1753) can reduce 323 to:
% 13.38/3.50 | (404) $false
% 13.38/3.50 |
% 13.38/3.50 |-The branch is then unsatisfiable
% 13.38/3.50 |-Branch two:
% 13.38/3.50 | (1121) ~ (all_0_132_132 = e20)
% 13.38/3.50 | (1112) all_0_141_141 = e20
% 13.38/3.50 |
% 13.38/3.50 | Combining equations (430,1112) yields a new equation:
% 13.38/3.50 | (1762) e21 = e20
% 13.38/3.50 |
% 13.38/3.50 | Simplifying 1762 yields:
% 13.38/3.50 | (1753) e21 = e20
% 13.38/3.50 |
% 13.38/3.50 | Equations (1753) can reduce 323 to:
% 13.38/3.50 | (404) $false
% 13.38/3.50 |
% 13.38/3.50 |-The branch is then unsatisfiable
% 13.38/3.50 |-Branch two:
% 13.38/3.50 | (1063) ~ (all_0_138_138 = e22)
% 13.38/3.50 | (1074) all_0_138_138 = e23 | all_0_138_138 = e20
% 13.38/3.50 |
% 13.38/3.50 +-Applying beta-rule and splitting (190), into two cases.
% 13.38/3.50 |-Branch one:
% 13.38/3.50 | (463) all_0_135_135 = e21
% 13.38/3.50 |
% 13.38/3.50 | Equations (463) can reduce 1641 to:
% 13.38/3.50 | (404) $false
% 13.38/3.50 |
% 13.38/3.50 |-The branch is then unsatisfiable
% 13.38/3.50 |-Branch two:
% 13.38/3.50 | (1641) ~ (all_0_135_135 = e21)
% 13.38/3.50 | (1058) all_0_135_135 = e22
% 13.38/3.50 |
% 13.38/3.50 | Equations (1058) can reduce 1641 to:
% 13.38/3.50 | (80) ~ (e22 = e21)
% 13.38/3.50 |
% 13.38/3.50 +-Applying beta-rule and splitting (134), into two cases.
% 13.38/3.50 |-Branch one:
% 13.38/3.50 | (1021) all_0_132_132 = e20
% 13.38/3.50 |
% 13.38/3.50 | Equations (1021) can reduce 175 to:
% 13.38/3.50 | (1022) ~ (all_0_130_130 = e20)
% 13.38/3.50 |
% 13.38/3.50 +-Applying beta-rule and splitting (157), into two cases.
% 13.38/3.50 |-Branch one:
% 13.38/3.50 | (1071) all_0_138_138 = e22
% 13.38/3.50 |
% 13.38/3.50 | Equations (1071) can reduce 1063 to:
% 13.38/3.50 | (404) $false
% 13.38/3.50 |
% 13.38/3.50 |-The branch is then unsatisfiable
% 13.38/3.50 |-Branch two:
% 13.38/3.50 | (1063) ~ (all_0_138_138 = e22)
% 13.38/3.50 | (1169) all_0_139_139 = e22 | all_0_141_141 = e22
% 13.38/3.50 |
% 13.38/3.50 +-Applying beta-rule and splitting (1169), into two cases.
% 13.38/3.50 |-Branch one:
% 13.38/3.50 | (1174) all_0_139_139 = e22
% 13.38/3.50 |
% 13.38/3.50 | Equations (1174) can reduce 92 to:
% 13.38/3.50 | (1114) ~ (all_0_130_130 = e22)
% 13.38/3.50 |
% 13.38/3.50 | Equations (1174) can reduce 290 to:
% 13.38/3.50 | (1038) ~ (all_0_134_134 = e22)
% 13.38/3.50 |
% 13.38/3.50 +-Applying beta-rule and splitting (46), into two cases.
% 13.38/3.50 |-Branch one:
% 13.38/3.50 | (1032) all_0_130_130 = e21
% 13.38/3.50 |
% 13.38/3.50 | Equations (1032) can reduce 451 to:
% 13.38/3.50 | (404) $false
% 13.38/3.50 |
% 13.38/3.50 |-The branch is then unsatisfiable
% 13.38/3.50 |-Branch two:
% 13.38/3.50 | (451) ~ (all_0_130_130 = e21)
% 13.38/3.50 | (1035) all_0_130_130 = e23 | all_0_130_130 = e22 | all_0_130_130 = e20
% 13.38/3.50 |
% 13.38/3.50 +-Applying beta-rule and splitting (1035), into two cases.
% 13.38/3.50 |-Branch one:
% 13.38/3.50 | (1036) all_0_130_130 = e22
% 13.38/3.50 |
% 13.38/3.50 | Equations (1036) can reduce 1114 to:
% 13.38/3.50 | (404) $false
% 13.38/3.50 |
% 13.38/3.50 |-The branch is then unsatisfiable
% 13.38/3.50 |-Branch two:
% 13.38/3.50 | (1114) ~ (all_0_130_130 = e22)
% 13.38/3.50 | (1115) all_0_130_130 = e23 | all_0_130_130 = e20
% 13.38/3.50 |
% 13.38/3.50 +-Applying beta-rule and splitting (1115), into two cases.
% 13.38/3.50 |-Branch one:
% 13.38/3.50 | (1116) all_0_130_130 = e23
% 13.38/3.50 |
% 13.38/3.50 | Equations (1116) can reduce 93 to:
% 13.38/3.50 | (1795) ~ (all_0_134_134 = e23)
% 13.38/3.50 |
% 13.38/3.50 | Simplifying 1795 yields:
% 13.38/3.50 | (1796) ~ (all_0_134_134 = e23)
% 13.38/3.50 |
% 13.38/3.50 +-Applying beta-rule and splitting (49), into two cases.
% 13.38/3.50 |-Branch one:
% 13.38/3.50 | (1077) all_0_133_133 = e23
% 13.38/3.50 |
% 13.38/3.50 | Equations (1077) can reduce 32 to:
% 13.38/3.50 | (1795) ~ (all_0_134_134 = e23)
% 13.38/3.50 |
% 13.38/3.50 | Simplifying 1795 yields:
% 13.38/3.50 | (1796) ~ (all_0_134_134 = e23)
% 13.38/3.50 |
% 13.38/3.50 +-Applying beta-rule and splitting (226), into two cases.
% 13.38/3.50 |-Branch one:
% 13.38/3.50 | (442) all_0_134_134 = e21
% 13.38/3.50 |
% 13.38/3.50 | Equations (442) can reduce 398 to:
% 13.38/3.50 | (404) $false
% 13.38/3.50 |
% 13.38/3.50 |-The branch is then unsatisfiable
% 13.38/3.50 |-Branch two:
% 13.38/3.50 | (398) ~ (all_0_134_134 = e21)
% 13.38/3.50 | (1803) all_0_134_134 = e23 | all_0_134_134 = e22
% 13.38/3.50 |
% 13.38/3.50 +-Applying beta-rule and splitting (1803), into two cases.
% 13.38/3.50 |-Branch one:
% 13.38/3.50 | (1735) all_0_134_134 = e22
% 13.38/3.50 |
% 13.38/3.50 | Equations (1735) can reduce 1038 to:
% 13.38/3.50 | (404) $false
% 13.38/3.50 |
% 13.38/3.50 |-The branch is then unsatisfiable
% 13.38/3.50 |-Branch two:
% 13.38/3.50 | (1038) ~ (all_0_134_134 = e22)
% 13.38/3.50 | (1080) all_0_134_134 = e23
% 13.38/3.50 |
% 13.38/3.50 | Equations (1080) can reduce 1796 to:
% 13.38/3.50 | (404) $false
% 13.38/3.50 |
% 13.38/3.50 |-The branch is then unsatisfiable
% 13.38/3.50 |-Branch two:
% 13.38/3.50 | (1076) ~ (all_0_133_133 = e23)
% 13.38/3.50 | (1080) all_0_134_134 = e23
% 13.38/3.50 |
% 13.38/3.50 | Equations (1080) can reduce 1796 to:
% 13.38/3.50 | (404) $false
% 13.38/3.50 |
% 13.38/3.50 |-The branch is then unsatisfiable
% 13.38/3.50 |-Branch two:
% 13.38/3.50 | (422) ~ (all_0_130_130 = e23)
% 13.38/3.50 | (1041) all_0_130_130 = e20
% 13.38/3.50 |
% 13.38/3.50 | Equations (1041) can reduce 1022 to:
% 13.38/3.50 | (404) $false
% 13.38/3.50 |
% 13.38/3.50 |-The branch is then unsatisfiable
% 13.38/3.50 |-Branch two:
% 13.38/3.50 | (1612) ~ (all_0_139_139 = e22)
% 13.38/3.50 | (443) all_0_141_141 = e22
% 13.38/3.50 |
% 13.38/3.50 | Combining equations (430,443) yields a new equation:
% 13.38/3.50 | (437) e22 = e21
% 13.38/3.50 |
% 13.38/3.50 | Equations (437) can reduce 80 to:
% 13.38/3.50 | (404) $false
% 13.38/3.50 |
% 13.38/3.50 |-The branch is then unsatisfiable
% 13.38/3.50 |-Branch two:
% 13.38/3.50 | (1121) ~ (all_0_132_132 = e20)
% 13.38/3.50 | (1112) all_0_141_141 = e20
% 13.38/3.50 |
% 13.38/3.50 | Combining equations (430,1112) yields a new equation:
% 13.38/3.50 | (1762) e21 = e20
% 13.38/3.50 |
% 13.38/3.50 | Simplifying 1762 yields:
% 13.38/3.50 | (1753) e21 = e20
% 13.38/3.50 |
% 13.38/3.50 | Equations (1753) can reduce 323 to:
% 13.38/3.50 | (404) $false
% 13.38/3.50 |
% 13.38/3.50 |-The branch is then unsatisfiable
% 13.38/3.50 |-Branch two:
% 13.38/3.50 | (432) all_0_107_107 = e23 & all_0_108_108 = e22 & all_0_109_109 = e21 & all_0_110_110 = e20
% 13.38/3.50 |
% 13.38/3.50 | Applying alpha-rule on (432) yields:
% 13.38/3.50 | (433) all_0_107_107 = e23
% 13.38/3.50 | (434) all_0_108_108 = e22
% 13.38/3.50 | (435) all_0_109_109 = e21
% 13.38/3.50 | (436) all_0_110_110 = e20
% 13.38/3.50 |
% 13.38/3.50 | Combining equations (435,412) yields a new equation:
% 13.38/3.50 | (437) e22 = e21
% 13.38/3.50 |
% 13.38/3.50 | Equations (437) can reduce 80 to:
% 13.38/3.50 | (404) $false
% 13.38/3.50 |
% 13.38/3.50 |-The branch is then unsatisfiable
% 13.38/3.50 |-Branch two:
% 13.38/3.50 | (439) all_0_111_111 = e23 & all_0_112_112 = e20 & all_0_134_134 = e21 & all_0_141_141 = e22
% 13.38/3.50 |
% 13.38/3.50 | Applying alpha-rule on (439) yields:
% 13.38/3.50 | (440) all_0_111_111 = e23
% 13.38/3.50 | (441) all_0_112_112 = e20
% 13.38/3.50 | (442) all_0_134_134 = e21
% 13.38/3.50 | (443) all_0_141_141 = e22
% 13.38/3.50 |
% 13.38/3.50 | Equations (442) can reduce 398 to:
% 13.38/3.50 | (404) $false
% 13.38/3.50 |
% 13.38/3.50 |-The branch is then unsatisfiable
% 13.38/3.50 |-Branch two:
% 13.38/3.50 | (445) all_0_113_113 = e23 & all_0_114_114 = e22 & all_0_115_115 = e20 & all_0_129_129 = e21
% 13.38/3.50 |
% 13.38/3.50 | Applying alpha-rule on (445) yields:
% 13.38/3.50 | (446) all_0_113_113 = e23
% 13.38/3.50 | (447) all_0_114_114 = e22
% 13.38/3.50 | (448) all_0_115_115 = e20
% 13.38/3.50 | (449) all_0_129_129 = e21
% 13.38/3.50 |
% 13.38/3.50 | Equations (449) can reduce 1654 to:
% 13.38/3.50 | (404) $false
% 13.38/3.50 |
% 13.38/3.50 |-The branch is then unsatisfiable
% 13.38/3.50 |-Branch two:
% 13.38/3.50 | (1843) ~ (all_0_131_131 = e21)
% 13.38/3.50 | (415) all_0_140_140 = e21
% 13.38/3.50 |
% 13.38/3.50 | Combining equations (1635,415) yields a new equation:
% 13.38/3.50 | (1845) e23 = e21
% 13.38/3.50 |
% 13.38/3.50 | Simplifying 1845 yields:
% 13.38/3.50 | (1626) e23 = e21
% 13.38/3.50 |
% 13.38/3.50 | Equations (1626) can reduce 169 to:
% 13.38/3.50 | (404) $false
% 13.38/3.50 |
% 13.38/3.50 |-The branch is then unsatisfiable
% 13.38/3.50 |-Branch two:
% 13.38/3.50 | (1848) ~ (all_0_137_137 = e21)
% 13.38/3.50 | (1849) all_0_137_137 = e20
% 13.38/3.50 |
% 13.38/3.50 | Equations (1849) can reduce 259 to:
% 13.38/3.50 | (264) ~ (all_0_134_134 = e20)
% 13.38/3.50 |
% 13.38/3.50 | Equations (1849) can reduce 114 to:
% 13.38/3.50 | (1851) ~ (all_0_139_139 = e20)
% 13.38/3.50 |
% 13.38/3.50 | Simplifying 1851 yields:
% 13.38/3.50 | (1111) ~ (all_0_139_139 = e20)
% 13.38/3.50 |
% 13.38/3.50 | Equations (1849) can reduce 1848 to:
% 13.38/3.50 | (1685) ~ (e21 = e20)
% 13.38/3.50 |
% 13.38/3.50 | Simplifying 1685 yields:
% 13.38/3.50 | (323) ~ (e21 = e20)
% 13.38/3.50 |
% 13.38/3.50 | From (1849)(1849) and (295) follows:
% 13.38/3.50 | (1855) op2(e20, e20) = all_0_109_109
% 13.38/3.50 |
% 13.38/3.50 +-Applying beta-rule and splitting (315), into two cases.
% 13.38/3.50 |-Branch one:
% 13.38/3.50 | (403) all_0_136_136 = e21
% 13.38/3.50 |
% 13.38/3.50 | Equations (403) can reduce 288 to:
% 13.38/3.50 | (1654) ~ (all_0_129_129 = e21)
% 13.38/3.50 |
% 13.38/3.50 | Equations (403) can reduce 206 to:
% 13.38/3.50 | (465) ~ (all_0_133_133 = e21)
% 13.38/3.50 |
% 13.38/3.50 | Equations (403) can reduce 249 to:
% 13.38/3.50 | (400) ~ (e23 = e21)
% 13.38/3.50 |
% 13.38/3.50 | Simplifying 400 yields:
% 13.38/3.50 | (169) ~ (e23 = e21)
% 13.38/3.50 |
% 13.38/3.50 | From (403)(403) and (301) follows:
% 13.38/3.50 | (1861) op2(e21, e21) = all_0_105_105
% 13.38/3.50 |
% 13.38/3.50 | Instantiating formula (236) with e21, e21, all_0_105_105, e22 and discharging atoms op2(e21, e21) = all_0_105_105, op2(e21, e21) = e22, yields:
% 13.38/3.50 | (1862) all_0_105_105 = e22
% 13.38/3.50 |
% 13.38/3.50 | Instantiating formula (236) with e20, e20, all_0_109_109, all_0_141_141 and discharging atoms op2(e20, e20) = all_0_109_109, op2(e20, e20) = all_0_141_141, yields:
% 13.38/3.51 | (1863) all_0_109_109 = all_0_141_141
% 13.38/3.51 |
% 13.38/3.51 | From (1862) and (1861) follows:
% 13.38/3.51 | (287) op2(e21, e21) = e22
% 13.38/3.51 |
% 13.38/3.51 +-Applying beta-rule and splitting (305), into two cases.
% 13.38/3.51 |-Branch one:
% 13.38/3.51 | (1653) all_0_131_131 = e21
% 13.38/3.51 |
% 13.38/3.51 | Equations (1653) can reduce 275 to:
% 13.38/3.51 | (1654) ~ (all_0_129_129 = e21)
% 13.38/3.51 |
% 13.38/3.51 | Equations (1653) can reduce 186 to:
% 13.38/3.51 | (419) ~ (e22 = e21)
% 13.38/3.51 |
% 13.38/3.51 | Simplifying 419 yields:
% 13.38/3.51 | (80) ~ (e22 = e21)
% 13.38/3.51 |
% 13.38/3.51 | Equations (1653) can reduce 97 to:
% 13.38/3.51 | (323) ~ (e21 = e20)
% 13.38/3.51 |
% 13.38/3.51 | From (1653)(1653) and (384) follows:
% 13.38/3.51 | (1870) op2(e21, e21) = all_0_111_111
% 13.38/3.51 |
% 13.38/3.51 +-Applying beta-rule and splitting (85), into two cases.
% 13.38/3.51 |-Branch one:
% 13.38/3.51 | (421) all_0_131_131 = e23
% 13.38/3.51 |
% 13.38/3.51 | Combining equations (1653,421) yields a new equation:
% 13.38/3.51 | (1626) e23 = e21
% 13.38/3.51 |
% 13.38/3.51 | Equations (1626) can reduce 169 to:
% 13.38/3.51 | (404) $false
% 13.38/3.51 |
% 13.38/3.51 |-The branch is then unsatisfiable
% 13.38/3.51 |-Branch two:
% 13.38/3.51 | (1644) ~ (all_0_131_131 = e23)
% 13.38/3.51 | (1635) all_0_140_140 = e23
% 13.38/3.51 |
% 13.38/3.51 | Equations (1635) can reduce 225 to:
% 13.38/3.51 | (360) ~ (e23 = e22)
% 13.38/3.51 |
% 13.38/3.51 | Instantiating formula (236) with e21, e21, all_0_111_111, e22 and discharging atoms op2(e21, e21) = all_0_111_111, op2(e21, e21) = e22, yields:
% 13.38/3.51 | (1877) all_0_111_111 = e22
% 13.38/3.51 |
% 13.38/3.51 +-Applying beta-rule and splitting (84), into two cases.
% 13.38/3.51 |-Branch one:
% 13.38/3.51 | (423) (all_0_103_103 = e23 & all_0_104_104 = e22 & all_0_105_105 = e21 & all_0_106_106 = e20) | (all_0_107_107 = e23 & all_0_108_108 = e22 & all_0_109_109 = e21 & all_0_110_110 = e20) | (all_0_111_111 = e23 & all_0_112_112 = e20 & all_0_134_134 = e21 & all_0_141_141 = e22)
% 13.38/3.51 |
% 13.38/3.51 +-Applying beta-rule and splitting (423), into two cases.
% 13.38/3.51 |-Branch one:
% 13.38/3.51 | (424) (all_0_103_103 = e23 & all_0_104_104 = e22 & all_0_105_105 = e21 & all_0_106_106 = e20) | (all_0_107_107 = e23 & all_0_108_108 = e22 & all_0_109_109 = e21 & all_0_110_110 = e20)
% 13.38/3.51 |
% 13.38/3.51 +-Applying beta-rule and splitting (424), into two cases.
% 13.38/3.51 |-Branch one:
% 13.38/3.51 | (425) all_0_103_103 = e23 & all_0_104_104 = e22 & all_0_105_105 = e21 & all_0_106_106 = e20
% 13.38/3.51 |
% 13.38/3.51 | Applying alpha-rule on (425) yields:
% 13.38/3.51 | (426) all_0_103_103 = e23
% 13.38/3.51 | (427) all_0_104_104 = e22
% 13.38/3.51 | (428) all_0_105_105 = e21
% 13.38/3.51 | (429) all_0_106_106 = e20
% 13.38/3.51 |
% 13.38/3.51 | Combining equations (428,1862) yields a new equation:
% 13.38/3.51 | (437) e22 = e21
% 13.38/3.51 |
% 13.38/3.51 | Equations (437) can reduce 80 to:
% 13.38/3.51 | (404) $false
% 13.38/3.51 |
% 13.38/3.51 |-The branch is then unsatisfiable
% 13.38/3.51 |-Branch two:
% 13.38/3.51 | (432) all_0_107_107 = e23 & all_0_108_108 = e22 & all_0_109_109 = e21 & all_0_110_110 = e20
% 13.38/3.51 |
% 13.38/3.51 | Applying alpha-rule on (432) yields:
% 13.38/3.51 | (433) all_0_107_107 = e23
% 13.38/3.51 | (434) all_0_108_108 = e22
% 13.38/3.51 | (435) all_0_109_109 = e21
% 13.38/3.51 | (436) all_0_110_110 = e20
% 13.38/3.51 |
% 13.38/3.51 | Combining equations (435,1863) yields a new equation:
% 13.38/3.51 | (430) all_0_141_141 = e21
% 13.38/3.51 |
% 13.38/3.51 | Equations (430) can reduce 163 to:
% 13.38/3.51 | (1641) ~ (all_0_135_135 = e21)
% 13.38/3.51 |
% 13.38/3.51 | Equations (430) can reduce 337 to:
% 13.38/3.51 | (455) ~ (all_0_138_138 = e21)
% 13.38/3.51 |
% 13.38/3.51 | From (436) and (16) follows:
% 13.38/3.51 | (1895) op2(all_0_139_139, all_0_139_139) = e20
% 13.38/3.51 |
% 13.38/3.51 +-Applying beta-rule and splitting (190), into two cases.
% 13.38/3.51 |-Branch one:
% 13.38/3.51 | (463) all_0_135_135 = e21
% 13.38/3.51 |
% 13.38/3.51 | Equations (463) can reduce 1641 to:
% 13.38/3.51 | (404) $false
% 13.38/3.51 |
% 13.38/3.51 |-The branch is then unsatisfiable
% 13.38/3.51 |-Branch two:
% 13.38/3.51 | (1641) ~ (all_0_135_135 = e21)
% 13.38/3.51 | (1058) all_0_135_135 = e22
% 13.38/3.51 |
% 13.38/3.51 | Equations (1058) can reduce 251 to:
% 13.38/3.51 | (1095) ~ (all_0_133_133 = e22)
% 13.38/3.51 |
% 13.38/3.51 | Equations (1058) can reduce 359 to:
% 13.38/3.51 | (1038) ~ (all_0_134_134 = e22)
% 13.38/3.51 |
% 13.38/3.51 | From (1058)(1058) and (3) follows:
% 13.38/3.51 | (1696) op2(e22, e22) = all_0_114_114
% 13.38/3.51 |
% 13.38/3.51 +-Applying beta-rule and splitting (377), into two cases.
% 13.38/3.51 |-Branch one:
% 13.38/3.51 | (1149) all_0_133_133 = e21
% 13.38/3.51 |
% 13.38/3.51 | Equations (1149) can reduce 465 to:
% 13.38/3.51 | (404) $false
% 13.38/3.51 |
% 13.38/3.51 |-The branch is then unsatisfiable
% 13.38/3.51 |-Branch two:
% 13.38/3.51 | (465) ~ (all_0_133_133 = e21)
% 13.38/3.51 | (1152) all_0_133_133 = e23 | all_0_133_133 = e22
% 13.38/3.51 |
% 13.38/3.51 +-Applying beta-rule and splitting (1152), into two cases.
% 13.38/3.51 |-Branch one:
% 13.38/3.51 | (1083) all_0_133_133 = e22
% 13.38/3.51 |
% 13.38/3.51 | Equations (1083) can reduce 1095 to:
% 13.38/3.51 | (404) $false
% 13.38/3.51 |
% 13.38/3.51 |-The branch is then unsatisfiable
% 13.38/3.51 |-Branch two:
% 13.38/3.51 | (1095) ~ (all_0_133_133 = e22)
% 13.38/3.51 | (1077) all_0_133_133 = e23
% 13.38/3.51 |
% 13.38/3.51 | Equations (1077) can reduce 248 to:
% 13.38/3.51 | (1628) ~ (all_0_129_129 = e23)
% 13.38/3.51 |
% 13.38/3.51 | Equations (1077) can reduce 465 to:
% 13.38/3.51 | (169) ~ (e23 = e21)
% 13.38/3.51 |
% 13.38/3.51 +-Applying beta-rule and splitting (134), into two cases.
% 13.38/3.51 |-Branch one:
% 13.38/3.51 | (1021) all_0_132_132 = e20
% 13.38/3.51 |
% 13.38/3.51 | Equations (1021) can reduce 67 to:
% 13.38/3.51 | (1914) ~ (all_0_129_129 = e20)
% 13.38/3.51 |
% 13.38/3.51 +-Applying beta-rule and splitting (7), into two cases.
% 13.38/3.51 |-Branch one:
% 13.38/3.51 | (449) all_0_129_129 = e21
% 13.38/3.51 |
% 13.38/3.51 | Equations (449) can reduce 1654 to:
% 13.38/3.51 | (404) $false
% 13.38/3.51 |
% 13.38/3.51 |-The branch is then unsatisfiable
% 13.38/3.51 |-Branch two:
% 13.38/3.51 | (1654) ~ (all_0_129_129 = e21)
% 13.38/3.51 | (1918) all_0_129_129 = e23 | all_0_129_129 = e22 | all_0_129_129 = e20
% 13.38/3.51 |
% 13.38/3.51 +-Applying beta-rule and splitting (1918), into two cases.
% 13.38/3.51 |-Branch one:
% 13.38/3.51 | (1097) all_0_129_129 = e22
% 13.38/3.51 |
% 13.38/3.51 | Equations (1097) can reduce 224 to:
% 13.38/3.51 | (1920) ~ (all_0_138_138 = e22)
% 13.38/3.51 |
% 13.38/3.51 | Simplifying 1920 yields:
% 13.38/3.51 | (1063) ~ (all_0_138_138 = e22)
% 13.38/3.51 |
% 13.38/3.51 | Equations (1097) can reduce 1654 to:
% 13.38/3.51 | (80) ~ (e22 = e21)
% 13.38/3.51 |
% 13.38/3.51 | From (1097)(1097) and (242) follows:
% 13.38/3.51 | (1923) op2(e22, e22) = all_0_103_103
% 13.38/3.51 |
% 13.38/3.51 +-Applying beta-rule and splitting (157), into two cases.
% 13.38/3.51 |-Branch one:
% 13.38/3.51 | (1071) all_0_138_138 = e22
% 13.38/3.51 |
% 13.38/3.51 | Equations (1071) can reduce 1063 to:
% 13.38/3.51 | (404) $false
% 13.38/3.51 |
% 13.38/3.51 |-The branch is then unsatisfiable
% 13.38/3.51 |-Branch two:
% 13.38/3.51 | (1063) ~ (all_0_138_138 = e22)
% 13.38/3.51 | (1169) all_0_139_139 = e22 | all_0_141_141 = e22
% 13.38/3.51 |
% 13.38/3.51 +-Applying beta-rule and splitting (216), into two cases.
% 13.38/3.51 |-Branch one:
% 13.38/3.51 | (1149) all_0_133_133 = e21
% 13.38/3.51 |
% 13.38/3.51 | Combining equations (1077,1149) yields a new equation:
% 13.38/3.51 | (1845) e23 = e21
% 13.38/3.51 |
% 13.38/3.51 | Simplifying 1845 yields:
% 13.38/3.51 | (1626) e23 = e21
% 13.38/3.51 |
% 13.38/3.51 | Equations (1626) can reduce 169 to:
% 13.38/3.51 | (404) $false
% 13.38/3.51 |
% 13.38/3.51 |-The branch is then unsatisfiable
% 13.38/3.51 |-Branch two:
% 13.38/3.51 | (465) ~ (all_0_133_133 = e21)
% 13.38/3.51 | (1933) all_0_134_134 = e21 | all_0_135_135 = e21
% 13.38/3.51 |
% 13.38/3.51 +-Applying beta-rule and splitting (1933), into two cases.
% 13.38/3.51 |-Branch one:
% 13.38/3.51 | (442) all_0_134_134 = e21
% 13.38/3.51 |
% 13.38/3.51 | Equations (442) can reduce 1038 to:
% 13.38/3.51 | (419) ~ (e22 = e21)
% 13.38/3.51 |
% 13.38/3.51 | Simplifying 419 yields:
% 13.38/3.51 | (80) ~ (e22 = e21)
% 13.38/3.51 |
% 13.38/3.51 | Equations (442) can reduce 264 to:
% 13.38/3.51 | (323) ~ (e21 = e20)
% 13.38/3.51 |
% 13.38/3.51 | From (442) and (188) follows:
% 13.38/3.51 | (1938) op2(e22, e22) = e21
% 13.38/3.51 |
% 13.38/3.51 +-Applying beta-rule and splitting (1169), into two cases.
% 13.38/3.51 |-Branch one:
% 13.38/3.51 | (1174) all_0_139_139 = e22
% 13.38/3.51 |
% 13.38/3.51 | Equations (1174) can reduce 1111 to:
% 13.38/3.51 | (239) ~ (e22 = e20)
% 13.38/3.51 |
% 13.38/3.51 | From (1174)(1174) and (1895) follows:
% 13.38/3.51 | (1065) op2(e22, e22) = e20
% 13.38/3.51 |
% 13.38/3.51 +-Applying beta-rule and splitting (128), into two cases.
% 13.38/3.51 |-Branch one:
% 13.38/3.51 | (1942) all_0_129_129 = e20
% 13.38/3.51 |
% 13.38/3.51 | Combining equations (1097,1942) yields a new equation:
% 13.38/3.51 | (1943) e22 = e20
% 13.38/3.51 |
% 13.38/3.51 | Simplifying 1943 yields:
% 13.38/3.51 | (1042) e22 = e20
% 13.38/3.51 |
% 13.38/3.51 | Equations (1042) can reduce 239 to:
% 13.38/3.51 | (404) $false
% 13.38/3.51 |
% 13.38/3.51 |-The branch is then unsatisfiable
% 13.38/3.51 |-Branch two:
% 13.38/3.51 | (1914) ~ (all_0_129_129 = e20)
% 13.38/3.51 | (1947) all_0_136_136 = e20 | all_0_138_138 = e20
% 13.38/3.51 |
% 13.38/3.51 | Equations (1097) can reduce 1914 to:
% 13.38/3.51 | (239) ~ (e22 = e20)
% 13.38/3.51 |
% 13.38/3.51 +-Applying beta-rule and splitting (382), into two cases.
% 13.38/3.51 |-Branch one:
% 13.38/3.51 | (1067) all_0_138_138 = e21
% 13.38/3.51 |
% 13.38/3.51 | Equations (1067) can reduce 455 to:
% 13.38/3.51 | (404) $false
% 13.38/3.51 |
% 13.38/3.51 |-The branch is then unsatisfiable
% 13.38/3.51 |-Branch two:
% 13.38/3.51 | (455) ~ (all_0_138_138 = e21)
% 13.38/3.51 | (1070) all_0_138_138 = e23 | all_0_138_138 = e22 | all_0_138_138 = e20
% 13.38/3.51 |
% 13.38/3.51 +-Applying beta-rule and splitting (35), into two cases.
% 13.38/3.51 |-Branch one:
% 13.38/3.51 | (1047) all_0_138_138 = e20
% 13.38/3.51 |
% 13.38/3.51 | Equations (1047) can reduce 455 to:
% 13.38/3.51 | (1685) ~ (e21 = e20)
% 13.38/3.51 |
% 13.38/3.51 | Simplifying 1685 yields:
% 13.38/3.51 | (323) ~ (e21 = e20)
% 13.38/3.51 |
% 13.38/3.51 | Instantiating formula (236) with e22, e22, all_0_114_114, all_0_103_103 and discharging atoms op2(e22, e22) = all_0_103_103, op2(e22, e22) = all_0_114_114, yields:
% 13.38/3.51 | (1956) all_0_103_103 = all_0_114_114
% 13.38/3.51 |
% 13.38/3.51 | Instantiating formula (236) with e22, e22, e21, all_0_114_114 and discharging atoms op2(e22, e22) = all_0_114_114, op2(e22, e22) = e21, yields:
% 13.38/3.51 | (1957) all_0_114_114 = e21
% 13.38/3.51 |
% 13.38/3.51 | Instantiating formula (236) with e22, e22, e20, all_0_103_103 and discharging atoms op2(e22, e22) = all_0_103_103, op2(e22, e22) = e20, yields:
% 13.38/3.51 | (1958) all_0_103_103 = e20
% 13.38/3.51 |
% 13.38/3.52 | Combining equations (1956,1958) yields a new equation:
% 13.38/3.52 | (1728) all_0_114_114 = e20
% 13.38/3.52 |
% 13.38/3.52 | Simplifying 1728 yields:
% 13.38/3.52 | (1729) all_0_114_114 = e20
% 13.38/3.52 |
% 13.38/3.52 | Combining equations (1957,1729) yields a new equation:
% 13.38/3.52 | (1762) e21 = e20
% 13.38/3.52 |
% 13.38/3.52 | Simplifying 1762 yields:
% 13.38/3.52 | (1753) e21 = e20
% 13.38/3.52 |
% 13.38/3.52 | Equations (1753) can reduce 323 to:
% 13.38/3.52 | (404) $false
% 13.38/3.52 |
% 13.38/3.52 |-The branch is then unsatisfiable
% 13.38/3.52 |-Branch two:
% 13.38/3.52 | (409) ~ (all_0_138_138 = e20)
% 13.38/3.52 | (1050) all_0_139_139 = e20 | all_0_141_141 = e20
% 13.38/3.52 |
% 13.38/3.52 +-Applying beta-rule and splitting (1050), into two cases.
% 13.38/3.52 |-Branch one:
% 13.38/3.52 | (1056) all_0_139_139 = e20
% 13.38/3.52 |
% 13.38/3.52 | Combining equations (1056,1174) yields a new equation:
% 13.38/3.52 | (1042) e22 = e20
% 13.38/3.52 |
% 13.38/3.52 | Equations (1042) can reduce 239 to:
% 13.38/3.52 | (404) $false
% 13.38/3.52 |
% 13.38/3.52 |-The branch is then unsatisfiable
% 13.38/3.52 |-Branch two:
% 13.38/3.52 | (1111) ~ (all_0_139_139 = e20)
% 13.38/3.52 | (1112) all_0_141_141 = e20
% 13.38/3.52 |
% 13.38/3.52 | Combining equations (430,1112) yields a new equation:
% 13.38/3.52 | (1762) e21 = e20
% 13.38/3.52 |
% 13.38/3.52 | Simplifying 1762 yields:
% 13.38/3.52 | (1753) e21 = e20
% 13.38/3.52 |
% 13.38/3.52 | Equations (1753) can reduce 323 to:
% 13.38/3.52 | (404) $false
% 13.38/3.52 |
% 13.38/3.52 |-The branch is then unsatisfiable
% 13.38/3.52 |-Branch two:
% 13.38/3.52 | (1612) ~ (all_0_139_139 = e22)
% 13.38/3.52 | (443) all_0_141_141 = e22
% 13.38/3.52 |
% 13.38/3.52 | Combining equations (430,443) yields a new equation:
% 13.38/3.52 | (437) e22 = e21
% 13.38/3.52 |
% 13.38/3.52 | Equations (437) can reduce 80 to:
% 13.38/3.52 | (404) $false
% 13.38/3.52 |
% 13.38/3.52 |-The branch is then unsatisfiable
% 13.38/3.52 |-Branch two:
% 13.38/3.52 | (398) ~ (all_0_134_134 = e21)
% 13.38/3.52 | (463) all_0_135_135 = e21
% 13.38/3.52 |
% 13.38/3.52 | Combining equations (1058,463) yields a new equation:
% 13.38/3.52 | (1757) e22 = e21
% 13.38/3.52 |
% 13.38/3.52 | Simplifying 1757 yields:
% 13.38/3.52 | (437) e22 = e21
% 13.38/3.52 |
% 13.38/3.52 | Equations (437) can reduce 80 to:
% 13.38/3.52 | (404) $false
% 13.38/3.52 |
% 13.38/3.52 |-The branch is then unsatisfiable
% 13.38/3.52 |-Branch two:
% 13.38/3.52 | (1100) ~ (all_0_129_129 = e22)
% 13.38/3.52 | (1984) all_0_129_129 = e23 | all_0_129_129 = e20
% 13.38/3.52 |
% 13.38/3.52 +-Applying beta-rule and splitting (1984), into two cases.
% 13.38/3.52 |-Branch one:
% 13.38/3.52 | (1625) all_0_129_129 = e23
% 13.38/3.52 |
% 13.38/3.52 | Equations (1625) can reduce 1628 to:
% 13.38/3.52 | (404) $false
% 13.38/3.52 |
% 13.38/3.52 |-The branch is then unsatisfiable
% 13.38/3.52 |-Branch two:
% 13.38/3.52 | (1628) ~ (all_0_129_129 = e23)
% 13.38/3.52 | (1942) all_0_129_129 = e20
% 13.38/3.52 |
% 13.38/3.52 | Equations (1942) can reduce 1914 to:
% 13.38/3.52 | (404) $false
% 13.38/3.52 |
% 13.38/3.52 |-The branch is then unsatisfiable
% 13.38/3.52 |-Branch two:
% 13.38/3.52 | (1121) ~ (all_0_132_132 = e20)
% 13.38/3.52 | (1112) all_0_141_141 = e20
% 13.38/3.52 |
% 13.38/3.52 | Combining equations (1112,430) yields a new equation:
% 13.38/3.52 | (1753) e21 = e20
% 13.38/3.52 |
% 13.38/3.52 | Equations (1753) can reduce 323 to:
% 13.38/3.52 | (404) $false
% 13.38/3.52 |
% 13.38/3.52 |-The branch is then unsatisfiable
% 13.38/3.52 |-Branch two:
% 13.38/3.52 | (439) all_0_111_111 = e23 & all_0_112_112 = e20 & all_0_134_134 = e21 & all_0_141_141 = e22
% 13.38/3.52 |
% 13.38/3.52 | Applying alpha-rule on (439) yields:
% 13.38/3.52 | (440) all_0_111_111 = e23
% 13.38/3.52 | (441) all_0_112_112 = e20
% 13.38/3.52 | (442) all_0_134_134 = e21
% 13.38/3.52 | (443) all_0_141_141 = e22
% 13.38/3.52 |
% 13.38/3.52 | Combining equations (1877,440) yields a new equation:
% 13.38/3.52 | (1092) e23 = e22
% 13.38/3.52 |
% 13.38/3.52 | Equations (1092) can reduce 360 to:
% 13.38/3.52 | (404) $false
% 13.38/3.52 |
% 13.38/3.52 |-The branch is then unsatisfiable
% 13.38/3.52 |-Branch two:
% 13.38/3.52 | (445) all_0_113_113 = e23 & all_0_114_114 = e22 & all_0_115_115 = e20 & all_0_129_129 = e21
% 13.38/3.52 |
% 13.38/3.52 | Applying alpha-rule on (445) yields:
% 13.38/3.52 | (446) all_0_113_113 = e23
% 13.38/3.52 | (447) all_0_114_114 = e22
% 13.38/3.52 | (448) all_0_115_115 = e20
% 13.38/3.52 | (449) all_0_129_129 = e21
% 13.38/3.52 |
% 13.38/3.52 | Equations (449) can reduce 1654 to:
% 13.38/3.52 | (404) $false
% 13.38/3.52 |
% 13.38/3.52 |-The branch is then unsatisfiable
% 13.38/3.52 |-Branch two:
% 13.38/3.52 | (1843) ~ (all_0_131_131 = e21)
% 13.38/3.52 | (421) all_0_131_131 = e23
% 13.38/3.52 |
% 13.38/3.52 | Equations (421) can reduce 1843 to:
% 13.38/3.52 | (169) ~ (e23 = e21)
% 13.38/3.52 |
% 13.38/3.52 +-Applying beta-rule and splitting (267), into two cases.
% 13.38/3.52 |-Branch one:
% 13.38/3.52 | (1653) all_0_131_131 = e21
% 13.38/3.52 |
% 13.38/3.52 | Combining equations (421,1653) yields a new equation:
% 13.38/3.52 | (1845) e23 = e21
% 13.38/3.52 |
% 13.38/3.52 | Simplifying 1845 yields:
% 13.38/3.52 | (1626) e23 = e21
% 13.38/3.52 |
% 13.38/3.52 | Equations (1626) can reduce 169 to:
% 13.38/3.52 | (404) $false
% 13.38/3.52 |
% 13.38/3.52 |-The branch is then unsatisfiable
% 13.38/3.52 |-Branch two:
% 13.38/3.52 | (1843) ~ (all_0_131_131 = e21)
% 13.38/3.52 | (415) all_0_140_140 = e21
% 13.38/3.52 |
% 13.38/3.52 | Equations (415) can reduce 181 to:
% 13.38/3.52 | (417) ~ (all_0_141_141 = e21)
% 13.38/3.52 |
% 13.38/3.52 | Simplifying 417 yields:
% 13.38/3.52 | (418) ~ (all_0_141_141 = e21)
% 13.38/3.52 |
% 13.38/3.52 | Equations (415) can reduce 225 to:
% 13.38/3.52 | (419) ~ (e22 = e21)
% 13.38/3.52 |
% 13.38/3.52 | Simplifying 419 yields:
% 13.38/3.52 | (80) ~ (e22 = e21)
% 13.38/3.52 |
% 13.38/3.52 +-Applying beta-rule and splitting (84), into two cases.
% 13.38/3.52 |-Branch one:
% 13.38/3.52 | (423) (all_0_103_103 = e23 & all_0_104_104 = e22 & all_0_105_105 = e21 & all_0_106_106 = e20) | (all_0_107_107 = e23 & all_0_108_108 = e22 & all_0_109_109 = e21 & all_0_110_110 = e20) | (all_0_111_111 = e23 & all_0_112_112 = e20 & all_0_134_134 = e21 & all_0_141_141 = e22)
% 13.38/3.52 |
% 13.38/3.52 +-Applying beta-rule and splitting (423), into two cases.
% 13.38/3.52 |-Branch one:
% 13.38/3.52 | (424) (all_0_103_103 = e23 & all_0_104_104 = e22 & all_0_105_105 = e21 & all_0_106_106 = e20) | (all_0_107_107 = e23 & all_0_108_108 = e22 & all_0_109_109 = e21 & all_0_110_110 = e20)
% 13.38/3.52 |
% 13.38/3.52 +-Applying beta-rule and splitting (424), into two cases.
% 13.38/3.52 |-Branch one:
% 13.38/3.52 | (425) all_0_103_103 = e23 & all_0_104_104 = e22 & all_0_105_105 = e21 & all_0_106_106 = e20
% 13.38/3.52 |
% 13.38/3.52 | Applying alpha-rule on (425) yields:
% 13.38/3.52 | (426) all_0_103_103 = e23
% 13.38/3.52 | (427) all_0_104_104 = e22
% 13.38/3.52 | (428) all_0_105_105 = e21
% 13.38/3.52 | (429) all_0_106_106 = e20
% 13.38/3.52 |
% 13.38/3.52 | Combining equations (428,1862) yields a new equation:
% 13.38/3.52 | (437) e22 = e21
% 13.38/3.52 |
% 13.38/3.52 | Equations (437) can reduce 80 to:
% 13.38/3.52 | (404) $false
% 13.38/3.52 |
% 13.38/3.52 |-The branch is then unsatisfiable
% 13.38/3.52 |-Branch two:
% 13.38/3.52 | (432) all_0_107_107 = e23 & all_0_108_108 = e22 & all_0_109_109 = e21 & all_0_110_110 = e20
% 13.38/3.52 |
% 13.38/3.52 | Applying alpha-rule on (432) yields:
% 13.38/3.52 | (433) all_0_107_107 = e23
% 13.38/3.52 | (434) all_0_108_108 = e22
% 13.38/3.52 | (435) all_0_109_109 = e21
% 13.38/3.52 | (436) all_0_110_110 = e20
% 13.38/3.52 |
% 13.38/3.52 | Combining equations (435,1863) yields a new equation:
% 13.38/3.52 | (430) all_0_141_141 = e21
% 13.38/3.52 |
% 13.38/3.52 | Equations (430) can reduce 418 to:
% 13.38/3.52 | (404) $false
% 13.38/3.52 |
% 13.38/3.52 |-The branch is then unsatisfiable
% 13.38/3.52 |-Branch two:
% 13.38/3.52 | (439) all_0_111_111 = e23 & all_0_112_112 = e20 & all_0_134_134 = e21 & all_0_141_141 = e22
% 13.38/3.52 |
% 13.38/3.52 | Applying alpha-rule on (439) yields:
% 13.38/3.52 | (440) all_0_111_111 = e23
% 13.38/3.52 | (441) all_0_112_112 = e20
% 13.38/3.52 | (442) all_0_134_134 = e21
% 13.38/3.52 | (443) all_0_141_141 = e22
% 13.38/3.52 |
% 13.38/3.52 | Equations (442) can reduce 359 to:
% 13.38/3.52 | (2041) ~ (all_0_135_135 = e21)
% 13.38/3.52 |
% 13.38/3.52 | Simplifying 2041 yields:
% 13.38/3.52 | (1641) ~ (all_0_135_135 = e21)
% 13.38/3.52 |
% 13.38/3.52 | Equations (443) can reduce 163 to:
% 13.38/3.52 | (1061) ~ (all_0_135_135 = e22)
% 13.38/3.52 |
% 13.38/3.52 +-Applying beta-rule and splitting (190), into two cases.
% 13.38/3.52 |-Branch one:
% 13.38/3.52 | (463) all_0_135_135 = e21
% 13.38/3.52 |
% 13.38/3.52 | Equations (463) can reduce 1641 to:
% 13.38/3.52 | (404) $false
% 13.38/3.52 |
% 13.38/3.52 |-The branch is then unsatisfiable
% 13.38/3.52 |-Branch two:
% 13.38/3.52 | (1641) ~ (all_0_135_135 = e21)
% 13.38/3.52 | (1058) all_0_135_135 = e22
% 13.38/3.52 |
% 13.38/3.52 | Equations (1058) can reduce 1061 to:
% 13.38/3.52 | (404) $false
% 13.38/3.52 |
% 13.38/3.52 |-The branch is then unsatisfiable
% 13.38/3.52 |-Branch two:
% 13.38/3.52 | (445) all_0_113_113 = e23 & all_0_114_114 = e22 & all_0_115_115 = e20 & all_0_129_129 = e21
% 13.38/3.52 |
% 13.38/3.52 | Applying alpha-rule on (445) yields:
% 13.38/3.52 | (446) all_0_113_113 = e23
% 13.38/3.52 | (447) all_0_114_114 = e22
% 13.38/3.52 | (448) all_0_115_115 = e20
% 13.38/3.52 | (449) all_0_129_129 = e21
% 13.38/3.52 |
% 13.38/3.52 | Equations (449) can reduce 1654 to:
% 13.38/3.52 | (404) $false
% 13.38/3.52 |
% 13.38/3.52 |-The branch is then unsatisfiable
% 13.38/3.52 |-Branch two:
% 13.38/3.52 | (399) ~ (all_0_136_136 = e21)
% 13.38/3.52 | (397) all_0_137_137 = e21
% 13.38/3.52 |
% 13.38/3.52 | Combining equations (397,1849) yields a new equation:
% 13.38/3.52 | (1762) e21 = e20
% 13.38/3.52 |
% 13.38/3.52 | Simplifying 1762 yields:
% 13.38/3.52 | (1753) e21 = e20
% 13.38/3.52 |
% 13.38/3.52 | Equations (1753) can reduce 323 to:
% 13.38/3.52 | (404) $false
% 13.38/3.52 |
% 13.38/3.52 |-The branch is then unsatisfiable
% 13.38/3.52 % SZS output end Proof for theBenchmark
% 13.38/3.52
% 13.38/3.52 3023ms
%------------------------------------------------------------------------------