TSTP Solution File: ALG116+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG116+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n025.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 15:35:12 EDT 2022
% Result : Theorem 6.60s 2.01s
% Output : Proof 15.75s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : ALG116+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.32 % Computer : n025.cluster.edu
% 0.13/0.32 % Model : x86_64 x86_64
% 0.13/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.32 % Memory : 8042.1875MB
% 0.13/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 8 07:21:19 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.56 ____ _
% 0.19/0.56 ___ / __ \_____(_)___ ________ __________
% 0.19/0.56 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.19/0.56 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.19/0.56 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.19/0.56
% 0.19/0.56 A Theorem Prover for First-Order Logic
% 0.19/0.56 (ePrincess v.1.0)
% 0.19/0.56
% 0.19/0.56 (c) Philipp Rümmer, 2009-2015
% 0.19/0.56 (c) Peter Backeman, 2014-2015
% 0.19/0.56 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.19/0.56 Free software under GNU Lesser General Public License (LGPL).
% 0.19/0.56 Bug reports to peter@backeman.se
% 0.19/0.56
% 0.19/0.56 For more information, visit http://user.uu.se/~petba168/breu/
% 0.19/0.56
% 0.19/0.56 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.65/0.61 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.47/1.14 Prover 0: Preprocessing ...
% 4.55/1.55 Prover 0: Constructing countermodel ...
% 6.60/2.01 Prover 0: proved (1398ms)
% 6.60/2.01
% 6.60/2.01 No countermodel exists, formula is valid
% 6.60/2.01 % SZS status Theorem for theBenchmark
% 6.60/2.01
% 6.60/2.01 Generating proof ... found it (size 2017)
% 13.25/3.59
% 13.25/3.59 % SZS output start Proof for theBenchmark
% 13.25/3.59 Assumed formulas after preprocessing and simplification:
% 13.25/3.59 | (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 = v22) & ~ (v25 = v18) & ~ (v25 = v15) & ~ (v25 = e21) & ~ (v25 = e20) & ~ (v24 = v20) & ~ (v24 = v16) & ~ (v24 = v13) & ~ (v24 = e21) & ~ (v24 = e20) & ~ (v23 = v22) & ~ (v23 = v21) & ~ (v23 = v20) & ~ (v23 = v19) & ~ (v23 = e22) & ~ (v23 = e21) & ~ (v22 = v21) & ~ (v22 = v20) & ~ (v22 = v18) & ~ (v22 = v15) & ~ (v21 = v20) & ~ (v21 = v17) & ~ (v21 = v14) & ~ (v21 = e20) & ~ (v20 = v16) & ~ (v20 = v13) & ~ (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v16) & ~ (v19 = e22) & ~ (v19 = e21) & ~ (v18 = v17) & ~ (v18 = v16) & ~ (v18 = v15) & ~ (v17 = v16) & ~ (v17 = v14) & ~ (v17 = e20) & ~ (v16 = v13) & ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = e22) & ~ (v14 = v13) & ~ (v14 = e22) & ~ (v14 = e20) & ~ (v13 = e22) & ~ (v12 = v11) & ~ (v12 = v9) & ~ (v12 = v5) & ~ (v12 = v2) & ~ (v12 = e11) & ~ (v12 = e10) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v11 = v0) & ~ (v11 = e11) & ~ (v11 = e10) & ~ (v10 = v9) & ~ (v10 = v8) & ~ (v10 = v7) & ~ (v10 = v6) & ~ (v10 = e12) & ~ (v10 = e11) & ~ (v9 = v8) & ~ (v9 = v7) & ~ (v9 = v5) & ~ (v9 = v2) & ~ (v8 = v7) & ~ (v8 = v4) & ~ (v8 = v1) & ~ (v8 = e10) & ~ (v7 = v3) & ~ (v7 = v0) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v3) & ~ (v6 = e12) & ~ (v6 = e11) & ~ (v5 = v4) & ~ (v5 = v3) & ~ (v5 = v2) & ~ (v4 = v3) & ~ (v4 = v1) & ~ (v4 = e10) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v2 = e12) & ~ (v1 = v0) & ~ (v1 = e12) & ~ (v1 = e10) & ~ (v0 = e12) & ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e23 = e13) & ~ (e23 = e12) & ~ (e23 = e11) & ~ (e23 = e10) & ~ (e22 = e21) & ~ (e22 = e20) & ~ (e22 = e13) & ~ (e22 = e12) & ~ (e22 = e11) & ~ (e22 = e10) & ~ (e21 = e20) & ~ (e21 = e13) & ~ (e21 = e12) & ~ (e21 = e11) & ~ (e21 = e10) & ~ (e20 = e13) & ~ (e20 = e12) & ~ (e20 = e11) & ~ (e20 = e10) & ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = e10) & ~ (e11 = e10) & op1(v12, v12) = v38 & op1(v11, v11) = v37 & op1(v10, v10) = v36 & op1(v9, v9) = v35 & op1(v8, v8) = v34 & op1(v7, v7) = v33 & op1(v6, v6) = v32 & op1(v5, v5) = v31 & op1(v4, v4) = v30 & op1(v3, v3) = v29 & op1(v2, v2) = v28 & op1(v1, v1) = v27 & op1(v0, v0) = v26 & op1(e13, e13) = e11 & op1(e13, e12) = v12 & op1(e13, e11) = e10 & op1(e13, e10) = v11 & op1(e12, e13) = v10 & op1(e12, e12) = v9 & op1(e12, e11) = v8 & op1(e12, e10) = v7 & op1(e11, e13) = v6 & op1(e11, e12) = v5 & op1(e11, e11) = v4 & op1(e11, e10) = v3 & op1(e10, e13) = e12 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10) = v0 & h1(v12) = v84 & h1(v11) = v81 & h1(v10) = v79 & h1(v9) = v77 & h1(v8) = v75 & h1(v7) = v73 & h1(v6) = v71 & h1(v5) = v69 & h1(v4) = v67 & h1(v3) = v65 & h1(v2) = v62 & h1(v1) = v60 & h1(v0) = v58 & h1(e13) = e20 & h1(e12) = v53 & h1(e11) = v13 & h1(e10) = v52 & h2(v12) = v112 & h2(v11) = v109 & h2(v10) = v107 & h2(v9) = v105 & h2(v8) = v103 & h2(v7) = v101 & h2(v6) = v99 & h2(v5) = v97 & h2(v4) = v95 & h2(v3) = v93 & h2(v2) = v90 & h2(v1) = v88 & h2(v0) = v86 & h2(e13) = e21 & h2(e12) = v55 & h2(e11) = v17 & h2(e10) = v54 & h3(v12) = v140 & h3(v11) = v137 & h3(v10) = v135 & h3(v9) = v133 & h3(v8) = v131 & h3(v7) = v129 & h3(v6) = v127 & h3(v5) = v125 & h3(v4) = v123 & h3(v3) = v121 & h3(v2) = v118 & h3(v1) = v116 & h3(v0) = v114 & h3(e13) = e22 & h3(e12) = v57 & h3(e11) = v22 & h3(e10) = v56 & h4(v12) = v154 & h4(v11) = v153 & h4(v10) = v152 & h4(v9) = v151 & h4(v8) = v150 & h4(v7) = v149 & h4(v6) = v148 & h4(v5) = v147 & h4(v4) = v146 & h4(v3) = v145 & h4(v2) = v144 & h4(v1) = v143 & h4(v0) = v142 & h4(e13) = e23 & h4(e12) = e22 & h4(e11) = e21 & h4(e10) = e20 & op2(v57, v57) = v134 & op2(v57, v56) = v130 & op2(v57, v22) = v132 & op2(v57, e22) = v136 & op2(v56, v57) = v119 & op2(v56, v56) = v115 & op2(v56, v22) = v117 & op2(v56, e22) = v120 & op2(v56, e22) = v57 & op2(v55, v55) = v106 & op2(v55, v54) = v102 & op2(v55, v17) = v104 & op2(v55, e21) = v108 & op2(v54, v55) = v91 & op2(v54, v54) = v87 & op2(v54, v17) = v89 & op2(v54, e21) = v92 & op2(v54, e21) = v55 & op2(v53, v53) = v78 & op2(v53, v52) = v74 & op2(v53, v13) = v76 & op2(v53, e20) = v80 & op2(v52, v53) = v63 & op2(v52, v52) = v59 & op2(v52, v13) = v61 & op2(v52, e20) = v64 & op2(v52, e20) = v53 & op2(v25, v25) = v51 & op2(v24, v24) = v50 & op2(v23, v23) = v49 & op2(v22, v57) = v126 & op2(v22, v56) = v122 & op2(v22, v22) = v124 & op2(v22, v22) = v48 & op2(v22, e22) = v128 & op2(v21, v21) = v47 & op2(v20, v20) = v46 & op2(v19, v19) = v45 & op2(v18, v18) = v44 & op2(v17, v55) = v98 & op2(v17, v54) = v94 & op2(v17, v17) = v96 & op2(v17, v17) = v43 & op2(v17, e21) = v100 & op2(v16, v16) = v42 & op2(v15, v15) = v41 & op2(v14, v14) = v40 & op2(v13, v53) = v70 & op2(v13, v52) = v66 & op2(v13, v13) = v68 & op2(v13, v13) = v39 & op2(v13, e20) = v72 & op2(e23, e23) = e21 & op2(e23, e22) = v25 & op2(e23, e21) = e20 & op2(e23, e20) = v24 & op2(e22, v57) = v141 & op2(e22, v56) = v138 & op2(e22, v22) = v139 & op2(e22, v22) = v56 & op2(e22, e23) = v23 & op2(e22, e22) = v22 & op2(e22, e21) = v21 & op2(e22, e20) = v20 & op2(e21, v55) = v113 & op2(e21, v54) = v110 & op2(e21, v17) = v111 & op2(e21, v17) = v54 & op2(e21, e23) = v19 & op2(e21, e22) = v18 & op2(e21, e21) = v17 & op2(e21, e20) = v16 & op2(e20, v53) = v85 & op2(e20, v52) = v82 & op2(e20, v13) = v83 & op2(e20, v13) = v52 & op2(e20, e23) = e22 & 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 = v25) | ~ (v153 = v24) | ~ (v152 = v23) | ~ (v151 = v22) | ~ (v150 = v21) | ~ (v149 = v20) | ~ (v148 = v19) | ~ (v147 = v18) | ~ (v146 = v17) | ~ (v145 = v16) | ~ (v144 = v15) | ~ (v143 = v14) | ~ (v142 = v13)) & ( ~ (v141 = v140) | ~ (v139 = v56) | ~ (v138 = v137) | ~ (v136 = v135) | ~ (v134 = v133) | ~ (v132 = v131) | ~ (v130 = v129) | ~ (v128 = v127) | ~ (v126 = v125) | ~ (v124 = v123) | ~ (v122 = v121) | ~ (v120 = v57) | ~ (v119 = v118) | ~ (v117 = v116) | ~ (v115 = v114) | ( ~ (v57 = e23) & ~ (v56 = e23) & ~ (v22 = e23)) | ( ~ (v57 = e21) & ~ (v56 = e21) & ~ (v22 = e21)) | ( ~ (v57 = e20) & ~ (v56 = e20) & ~ (v22 = e20))) & ( ~ (v113 = v112) | ~ (v111 = v54) | ~ (v110 = v109) | ~ (v108 = v107) | ~ (v106 = v105) | ~ (v104 = v103) | ~ (v102 = v101) | ~ (v100 = v99) | ~ (v98 = v97) | ~ (v96 = v95) | ~ (v94 = v93) | ~ (v92 = v55) | ~ (v91 = v90) | ~ (v89 = v88) | ~ (v87 = v86) | ( ~ (v55 = e23) & ~ (v54 = e23) & ~ (v17 = e23)) | ( ~ (v55 = e22) & ~ (v54 = e22) & ~ (v17 = e22)) | ( ~ (v55 = e20) & ~ (v54 = e20))) & ( ~ (v85 = v84) | ~ (v83 = v52) | ~ (v82 = v81) | ~ (v80 = v79) | ~ (v78 = v77) | ~ (v76 = v75) | ~ (v74 = v73) | ~ (v72 = v71) | ~ (v70 = v69) | ~ (v68 = v67) | ~ (v66 = v65) | ~ (v64 = v53) | ~ (v63 = v62) | ~ (v61 = v60) | ~ (v59 = v58) | ( ~ (v53 = e23) & ~ (v52 = e23) & ~ (v13 = e23)) | ( ~ (v53 = e22) & ~ (v52 = e22)) | ( ~ (v53 = e21) & ~ (v52 = e21) & ~ (v13 = e21))) & (v25 = e23 | v25 = e22) & (v25 = e23 | v24 = e23) & (v25 = e23 | v22 = e23 | v18 = e23 | v15 = e23) & (v25 = e22 | v24 = e22) & (v25 = e22 | v22 = e22 | v18 = e22) & (v24 = e23 | v24 = e22) & (v24 = e23 | v20 = e23 | v16 = e23 | v13 = e23) & (v24 = e22 | v20 = e22 | v16 = e22) & (v23 = e23 | v23 = e20) & (v23 = e23 | v22 = e23 | v21 = e23 | v20 = e23) & (v23 = e23 | v19 = e23) & (v23 = e20 | v22 = e20 | v20 = e20) & (v23 = e20 | v19 = e20) & (v22 = e23 | v22 = e22 | v22 = e21 | v22 = e20) & (v22 = e22 | v21 = e22 | v20 = e22) & (v22 = e21 | v21 = e21 | v20 = e21) & (v22 = e21 | v18 = e21 | v15 = e21) & (v22 = e20 | v18 = e20 | v15 = e20) & (v21 = e23 | v21 = e22 | v21 = e21) & (v21 = e23 | v17 = e23 | v14 = e23) & (v21 = e22 | v17 = e22) & (v21 = e21 | v17 = e21 | v14 = e21) & (v20 = e23 | v20 = e22 | v20 = e21 | v20 = e20) & (v20 = e21 | v16 = e21 | v13 = e21) & (v20 = e20 | v16 = e20 | v13 = e20) & (v19 = e23 | v19 = e20) & (v19 = e23 | v18 = e23 | v17 = e23 | v16 = e23) & (v19 = e20 | v18 = e20 | v16 = e20) & (v18 = e23 | v18 = e22 | v18 = e21 | v18 = e20) & (v18 = e22 | v17 = e22 | v16 = e22) & (v18 = e21 | v17 = e21 | v16 = e21) & (v17 = e23 | v17 = e22 | v17 = e21) & (v16 = e23 | v16 = e22 | v16 = e21 | v16 = e20) & (v15 = e23 | v15 = e21 | v15 = e20) & (v15 = e23 | v14 = e23 | v13 = e23) & (v15 = e21 | v14 = e21 | v13 = e21) & (v15 = e20 | v13 = e20) & (v14 = e23 | v14 = e21) & (v13 = e23 | v13 = e21 | v13 = e20) & (v12 = e13 | v12 = e12) & (v12 = e13 | v11 = e13) & (v12 = e13 | v9 = e13 | v5 = e13 | v2 = e13) & (v12 = e12 | v11 = e12) & (v12 = e12 | v9 = e12 | v5 = e12) & (v11 = e13 | v11 = e12) & (v11 = e13 | v7 = e13 | v3 = e13 | v0 = e13) & (v11 = e12 | v7 = e12 | v3 = e12) & (v10 = e13 | v10 = e10) & (v10 = e13 | v9 = e13 | v8 = e13 | v7 = e13) & (v10 = e13 | v6 = e13) & (v10 = e10 | v9 = e10 | v7 = e10) & (v10 = e10 | v6 = e10) & (v9 = e13 | v9 = e12 | v9 = e11 | v9 = e10) & (v9 = e12 | v8 = e12 | v7 = e12) & (v9 = e11 | v8 = e11 | v7 = e11) & (v9 = e11 | v5 = e11 | v2 = e11) & (v9 = e10 | v5 = e10 | v2 = e10) & (v8 = e13 | v8 = e12 | v8 = e11) & (v8 = e13 | v4 = e13 | v1 = e13) & (v8 = e12 | v4 = e12) & (v8 = e11 | v4 = e11 | v1 = e11) & (v7 = e13 | v7 = e12 | v7 = e11 | v7 = e10) & (v7 = e11 | v3 = e11 | v0 = e11) & (v7 = e10 | v3 = e10 | v0 = e10) & (v6 = e13 | v6 = e10) & (v6 = e13 | v5 = e13 | v4 = e13 | v3 = e13) & (v6 = e10 | v5 = e10 | v3 = e10) & (v5 = e13 | v5 = e12 | v5 = e11 | v5 = e10) & (v5 = e12 | v4 = e12 | v3 = e12) & (v5 = e11 | v4 = e11 | v3 = e11) & (v4 = e13 | v4 = e12 | v4 = e11) & (v3 = e13 | v3 = e12 | v3 = e11 | v3 = e10) & (v2 = e13 | v2 = e11 | v2 = e10) & (v2 = e13 | v1 = e13 | v0 = e13) & (v2 = e11 | v1 = e11 | v0 = e11) & (v2 = e10 | v0 = e10) & (v1 = e13 | v1 = e11) & (v0 = e13 | v0 = e11 | v0 = e10) & ((v51 = e22 & v50 = e20 & v17 = e23 & v13 = e21) | (v49 = e23 & v48 = e22 & v47 = e21 & v46 = e20) | (v45 = e23 & v44 = e22 & v43 = e21 & v42 = e20) | (v41 = e22 & v40 = e21 & v39 = e20 & v22 = e23)) & ((v38 = e12 & v37 = e10 & v4 = e13 & v0 = e11) | (v36 = e13 & v35 = e12 & v34 = e11 & v33 = e10) | (v32 = e13 & v31 = e12 & v30 = e11 & v29 = e10) | (v28 = e12 & v27 = e11 & v26 = e10 & v9 = e13)))
% 13.66/3.65 | 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:
% 13.66/3.65 | (1) ~ (all_0_129_129 = all_0_130_130) & ~ (all_0_129_129 = all_0_132_132) & ~ (all_0_129_129 = all_0_136_136) & ~ (all_0_129_129 = all_0_139_139) & ~ (all_0_129_129 = e21) & ~ (all_0_129_129 = e20) & ~ (all_0_130_130 = all_0_134_134) & ~ (all_0_130_130 = all_0_138_138) & ~ (all_0_130_130 = all_0_141_141) & ~ (all_0_130_130 = e21) & ~ (all_0_130_130 = e20) & ~ (all_0_131_131 = all_0_132_132) & ~ (all_0_131_131 = all_0_133_133) & ~ (all_0_131_131 = all_0_134_134) & ~ (all_0_131_131 = all_0_135_135) & ~ (all_0_131_131 = e22) & ~ (all_0_131_131 = e21) & ~ (all_0_132_132 = all_0_133_133) & ~ (all_0_132_132 = all_0_134_134) & ~ (all_0_132_132 = all_0_136_136) & ~ (all_0_132_132 = all_0_139_139) & ~ (all_0_133_133 = all_0_134_134) & ~ (all_0_133_133 = all_0_137_137) & ~ (all_0_133_133 = all_0_140_140) & ~ (all_0_133_133 = e20) & ~ (all_0_134_134 = all_0_138_138) & ~ (all_0_134_134 = all_0_141_141) & ~ (all_0_135_135 = all_0_136_136) & ~ (all_0_135_135 = all_0_137_137) & ~ (all_0_135_135 = all_0_138_138) & ~ (all_0_135_135 = e22) & ~ (all_0_135_135 = e21) & ~ (all_0_136_136 = all_0_137_137) & ~ (all_0_136_136 = all_0_138_138) & ~ (all_0_136_136 = all_0_139_139) & ~ (all_0_137_137 = all_0_138_138) & ~ (all_0_137_137 = all_0_140_140) & ~ (all_0_137_137 = e20) & ~ (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_139_139 = e22) & ~ (all_0_140_140 = all_0_141_141) & ~ (all_0_140_140 = e22) & ~ (all_0_140_140 = e20) & ~ (all_0_141_141 = e22) & ~ (all_0_142_142 = all_0_143_143) & ~ (all_0_142_142 = all_0_145_145) & ~ (all_0_142_142 = all_0_149_149) & ~ (all_0_142_142 = all_0_152_152) & ~ (all_0_142_142 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_143_143 = all_0_147_147) & ~ (all_0_143_143 = all_0_151_151) & ~ (all_0_143_143 = all_0_154_154) & ~ (all_0_143_143 = e11) & ~ (all_0_143_143 = e10) & ~ (all_0_144_144 = all_0_145_145) & ~ (all_0_144_144 = all_0_146_146) & ~ (all_0_144_144 = all_0_147_147) & ~ (all_0_144_144 = all_0_148_148) & ~ (all_0_144_144 = e12) & ~ (all_0_144_144 = e11) & ~ (all_0_145_145 = all_0_146_146) & ~ (all_0_145_145 = all_0_147_147) & ~ (all_0_145_145 = all_0_149_149) & ~ (all_0_145_145 = all_0_152_152) & ~ (all_0_146_146 = all_0_147_147) & ~ (all_0_146_146 = all_0_150_150) & ~ (all_0_146_146 = all_0_153_153) & ~ (all_0_146_146 = e10) & ~ (all_0_147_147 = all_0_151_151) & ~ (all_0_147_147 = all_0_154_154) & ~ (all_0_148_148 = all_0_149_149) & ~ (all_0_148_148 = all_0_150_150) & ~ (all_0_148_148 = all_0_151_151) & ~ (all_0_148_148 = e12) & ~ (all_0_148_148 = e11) & ~ (all_0_149_149 = all_0_150_150) & ~ (all_0_149_149 = all_0_151_151) & ~ (all_0_149_149 = all_0_152_152) & ~ (all_0_150_150 = all_0_151_151) & ~ (all_0_150_150 = all_0_153_153) & ~ (all_0_150_150 = e10) & ~ (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_152_152 = e12) & ~ (all_0_153_153 = all_0_154_154) & ~ (all_0_153_153 = e12) & ~ (all_0_153_153 = e10) & ~ (all_0_154_154 = e12) & ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e23 = e13) & ~ (e23 = e12) & ~ (e23 = e11) & ~ (e23 = e10) & ~ (e22 = e21) & ~ (e22 = e20) & ~ (e22 = e13) & ~ (e22 = e12) & ~ (e22 = e11) & ~ (e22 = e10) & ~ (e21 = e20) & ~ (e21 = e13) & ~ (e21 = e12) & ~ (e21 = e11) & ~ (e21 = e10) & ~ (e20 = e13) & ~ (e20 = e12) & ~ (e20 = e11) & ~ (e20 = e10) & ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = e10) & ~ (e11 = e10) & op1(all_0_142_142, all_0_142_142) = all_0_116_116 & op1(all_0_143_143, all_0_143_143) = all_0_117_117 & op1(all_0_144_144, all_0_144_144) = all_0_118_118 & op1(all_0_145_145, all_0_145_145) = all_0_119_119 & op1(all_0_146_146, all_0_146_146) = all_0_120_120 & op1(all_0_147_147, all_0_147_147) = all_0_121_121 & op1(all_0_148_148, all_0_148_148) = all_0_122_122 & op1(all_0_149_149, all_0_149_149) = all_0_123_123 & op1(all_0_150_150, all_0_150_150) = all_0_124_124 & op1(all_0_151_151, all_0_151_151) = all_0_125_125 & op1(all_0_152_152, all_0_152_152) = all_0_126_126 & op1(all_0_153_153, all_0_153_153) = all_0_127_127 & op1(all_0_154_154, all_0_154_154) = all_0_128_128 & op1(e13, e13) = e11 & op1(e13, e12) = all_0_142_142 & op1(e13, e11) = e10 & op1(e13, e10) = all_0_143_143 & op1(e12, e13) = all_0_144_144 & op1(e12, e12) = all_0_145_145 & op1(e12, e11) = all_0_146_146 & op1(e12, e10) = all_0_147_147 & op1(e11, e13) = all_0_148_148 & op1(e11, e12) = all_0_149_149 & op1(e11, e11) = all_0_150_150 & op1(e11, e10) = all_0_151_151 & op1(e10, e13) = e12 & 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_73_73 & h1(all_0_144_144) = all_0_75_75 & h1(all_0_145_145) = all_0_77_77 & h1(all_0_146_146) = all_0_79_79 & h1(all_0_147_147) = all_0_81_81 & 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_89_89 & 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) = e20 & h1(e12) = all_0_101_101 & h1(e11) = all_0_141_141 & h1(e10) = all_0_102_102 & h2(all_0_142_142) = all_0_42_42 & h2(all_0_143_143) = all_0_45_45 & h2(all_0_144_144) = all_0_47_47 & h2(all_0_145_145) = all_0_49_49 & h2(all_0_146_146) = all_0_51_51 & h2(all_0_147_147) = all_0_53_53 & h2(all_0_148_148) = all_0_55_55 & h2(all_0_149_149) = all_0_57_57 & h2(all_0_150_150) = all_0_59_59 & h2(all_0_151_151) = all_0_61_61 & h2(all_0_152_152) = all_0_64_64 & h2(all_0_153_153) = all_0_66_66 & h2(all_0_154_154) = all_0_68_68 & h2(e13) = e21 & h2(e12) = all_0_99_99 & h2(e11) = all_0_137_137 & h2(e10) = all_0_100_100 & h3(all_0_142_142) = all_0_14_14 & h3(all_0_143_143) = all_0_17_17 & h3(all_0_144_144) = all_0_19_19 & h3(all_0_145_145) = all_0_21_21 & h3(all_0_146_146) = all_0_23_23 & h3(all_0_147_147) = all_0_25_25 & h3(all_0_148_148) = all_0_27_27 & h3(all_0_149_149) = all_0_29_29 & h3(all_0_150_150) = all_0_31_31 & h3(all_0_151_151) = all_0_33_33 & h3(all_0_152_152) = all_0_36_36 & h3(all_0_153_153) = all_0_38_38 & h3(all_0_154_154) = all_0_40_40 & h3(e13) = e22 & h3(e12) = all_0_97_97 & h3(e11) = all_0_132_132 & h3(e10) = all_0_98_98 & h4(all_0_142_142) = all_0_0_0 & h4(all_0_143_143) = all_0_1_1 & h4(all_0_144_144) = all_0_2_2 & h4(all_0_145_145) = all_0_3_3 & h4(all_0_146_146) = all_0_4_4 & h4(all_0_147_147) = all_0_5_5 & h4(all_0_148_148) = all_0_6_6 & h4(all_0_149_149) = all_0_7_7 & h4(all_0_150_150) = all_0_8_8 & h4(all_0_151_151) = all_0_9_9 & h4(all_0_152_152) = all_0_10_10 & h4(all_0_153_153) = all_0_11_11 & h4(all_0_154_154) = all_0_12_12 & h4(e13) = e23 & h4(e12) = e22 & h4(e11) = e21 & h4(e10) = e20 & op2(all_0_97_97, all_0_97_97) = all_0_20_20 & op2(all_0_97_97, all_0_98_98) = all_0_24_24 & op2(all_0_97_97, all_0_132_132) = all_0_22_22 & op2(all_0_97_97, e22) = all_0_18_18 & op2(all_0_98_98, all_0_97_97) = all_0_35_35 & op2(all_0_98_98, all_0_98_98) = all_0_39_39 & op2(all_0_98_98, all_0_132_132) = all_0_37_37 & op2(all_0_98_98, e22) = all_0_34_34 & op2(all_0_98_98, e22) = all_0_97_97 & op2(all_0_99_99, all_0_99_99) = all_0_48_48 & op2(all_0_99_99, all_0_100_100) = all_0_52_52 & op2(all_0_99_99, all_0_137_137) = all_0_50_50 & op2(all_0_99_99, e21) = all_0_46_46 & op2(all_0_100_100, all_0_99_99) = all_0_63_63 & op2(all_0_100_100, all_0_100_100) = all_0_67_67 & op2(all_0_100_100, all_0_137_137) = all_0_65_65 & op2(all_0_100_100, e21) = all_0_62_62 & op2(all_0_100_100, e21) = all_0_99_99 & op2(all_0_101_101, all_0_101_101) = all_0_76_76 & op2(all_0_101_101, all_0_102_102) = all_0_80_80 & op2(all_0_101_101, all_0_141_141) = all_0_78_78 & op2(all_0_101_101, e20) = all_0_74_74 & op2(all_0_102_102, all_0_101_101) = all_0_91_91 & op2(all_0_102_102, all_0_102_102) = all_0_95_95 & op2(all_0_102_102, all_0_141_141) = all_0_93_93 & op2(all_0_102_102, e20) = all_0_90_90 & op2(all_0_102_102, e20) = all_0_101_101 & op2(all_0_129_129, all_0_129_129) = all_0_103_103 & op2(all_0_130_130, all_0_130_130) = all_0_104_104 & op2(all_0_131_131, all_0_131_131) = all_0_105_105 & op2(all_0_132_132, all_0_97_97) = all_0_28_28 & op2(all_0_132_132, all_0_98_98) = all_0_32_32 & op2(all_0_132_132, all_0_132_132) = all_0_30_30 & op2(all_0_132_132, all_0_132_132) = all_0_106_106 & op2(all_0_132_132, e22) = all_0_26_26 & op2(all_0_133_133, all_0_133_133) = all_0_107_107 & op2(all_0_134_134, all_0_134_134) = all_0_108_108 & op2(all_0_135_135, all_0_135_135) = all_0_109_109 & op2(all_0_136_136, all_0_136_136) = all_0_110_110 & op2(all_0_137_137, all_0_99_99) = all_0_56_56 & op2(all_0_137_137, all_0_100_100) = all_0_60_60 & op2(all_0_137_137, all_0_137_137) = all_0_58_58 & op2(all_0_137_137, all_0_137_137) = all_0_111_111 & op2(all_0_137_137, e21) = all_0_54_54 & op2(all_0_138_138, all_0_138_138) = all_0_112_112 & op2(all_0_139_139, all_0_139_139) = all_0_113_113 & op2(all_0_140_140, all_0_140_140) = all_0_114_114 & op2(all_0_141_141, all_0_101_101) = all_0_84_84 & op2(all_0_141_141, all_0_102_102) = all_0_88_88 & op2(all_0_141_141, all_0_141_141) = all_0_86_86 & op2(all_0_141_141, all_0_141_141) = all_0_115_115 & op2(all_0_141_141, e20) = all_0_82_82 & op2(e23, e23) = e21 & op2(e23, e22) = all_0_129_129 & op2(e23, e21) = e20 & op2(e23, e20) = all_0_130_130 & op2(e22, all_0_97_97) = all_0_13_13 & op2(e22, all_0_98_98) = all_0_16_16 & op2(e22, all_0_132_132) = all_0_15_15 & op2(e22, all_0_132_132) = all_0_98_98 & op2(e22, e23) = all_0_131_131 & op2(e22, e22) = all_0_132_132 & op2(e22, e21) = all_0_133_133 & op2(e22, e20) = all_0_134_134 & op2(e21, all_0_99_99) = all_0_41_41 & op2(e21, all_0_100_100) = all_0_44_44 & op2(e21, all_0_137_137) = all_0_43_43 & op2(e21, all_0_137_137) = all_0_100_100 & op2(e21, e23) = all_0_135_135 & op2(e21, e22) = all_0_136_136 & op2(e21, e21) = all_0_137_137 & op2(e21, e20) = all_0_138_138 & op2(e20, all_0_101_101) = all_0_69_69 & op2(e20, all_0_102_102) = all_0_72_72 & op2(e20, all_0_141_141) = all_0_71_71 & op2(e20, all_0_141_141) = all_0_102_102 & op2(e20, e23) = e22 & 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_129_129) | ~ (all_0_1_1 = all_0_130_130) | ~ (all_0_2_2 = all_0_131_131) | ~ (all_0_3_3 = all_0_132_132) | ~ (all_0_4_4 = all_0_133_133) | ~ (all_0_5_5 = all_0_134_134) | ~ (all_0_6_6 = all_0_135_135) | ~ (all_0_7_7 = all_0_136_136) | ~ (all_0_8_8 = all_0_137_137) | ~ (all_0_9_9 = all_0_138_138) | ~ (all_0_10_10 = all_0_139_139) | ~ (all_0_11_11 = all_0_140_140) | ~ (all_0_12_12 = all_0_141_141)) & ( ~ (all_0_13_13 = all_0_14_14) | ~ (all_0_15_15 = all_0_98_98) | ~ (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_97_97) | ~ (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_97_97 = e23) & ~ (all_0_98_98 = e23) & ~ (all_0_132_132 = e23)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e21) & ~ (all_0_132_132 = e21)) | ( ~ (all_0_97_97 = e20) & ~ (all_0_98_98 = e20) & ~ (all_0_132_132 = e20))) & ( ~ (all_0_41_41 = all_0_42_42) | ~ (all_0_43_43 = all_0_100_100) | ~ (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_99_99) | ~ (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_99_99 = e23) & ~ (all_0_100_100 = e23) & ~ (all_0_137_137 = e23)) | ( ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e22) & ~ (all_0_137_137 = e22)) | ( ~ (all_0_99_99 = e20) & ~ (all_0_100_100 = e20))) & ( ~ (all_0_69_69 = all_0_70_70) | ~ (all_0_71_71 = all_0_102_102) | ~ (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_101_101) | ~ (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_141_141 = e23)) | ( ~ (all_0_101_101 = e22) & ~ (all_0_102_102 = 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 = e23 | all_0_130_130 = e23) & (all_0_129_129 = e23 | all_0_132_132 = e23 | all_0_136_136 = e23 | all_0_139_139 = e23) & (all_0_129_129 = e22 | all_0_130_130 = e22) & (all_0_129_129 = e22 | all_0_132_132 = e22 | all_0_136_136 = e22) & (all_0_130_130 = e23 | all_0_130_130 = e22) & (all_0_130_130 = e23 | all_0_134_134 = e23 | all_0_138_138 = e23 | all_0_141_141 = e23) & (all_0_130_130 = e22 | all_0_134_134 = e22 | all_0_138_138 = e22) & (all_0_131_131 = e23 | all_0_131_131 = e20) & (all_0_131_131 = e23 | all_0_132_132 = e23 | all_0_133_133 = e23 | all_0_134_134 = e23) & (all_0_131_131 = e23 | all_0_135_135 = e23) & (all_0_131_131 = e20 | all_0_132_132 = e20 | all_0_134_134 = e20) & (all_0_131_131 = e20 | all_0_135_135 = e20) & (all_0_132_132 = e23 | all_0_132_132 = e22 | all_0_132_132 = e21 | all_0_132_132 = e20) & (all_0_132_132 = e22 | all_0_133_133 = e22 | all_0_134_134 = e22) & (all_0_132_132 = e21 | all_0_133_133 = e21 | all_0_134_134 = e21) & (all_0_132_132 = e21 | all_0_136_136 = e21 | all_0_139_139 = e21) & (all_0_132_132 = e20 | all_0_136_136 = e20 | all_0_139_139 = e20) & (all_0_133_133 = e23 | all_0_133_133 = e22 | all_0_133_133 = e21) & (all_0_133_133 = e23 | all_0_137_137 = e23 | all_0_140_140 = e23) & (all_0_133_133 = e22 | all_0_137_137 = e22) & (all_0_133_133 = e21 | all_0_137_137 = e21 | all_0_140_140 = e21) & (all_0_134_134 = e23 | all_0_134_134 = e22 | all_0_134_134 = e21 | all_0_134_134 = e20) & (all_0_134_134 = e21 | all_0_138_138 = e21 | all_0_141_141 = e21) & (all_0_134_134 = e20 | all_0_138_138 = e20 | all_0_141_141 = e20) & (all_0_135_135 = e23 | all_0_135_135 = e20) & (all_0_135_135 = e23 | all_0_136_136 = e23 | all_0_137_137 = e23 | all_0_138_138 = e23) & (all_0_135_135 = e20 | all_0_136_136 = e20 | all_0_138_138 = e20) & (all_0_136_136 = e23 | all_0_136_136 = e22 | all_0_136_136 = e21 | all_0_136_136 = e20) & (all_0_136_136 = e22 | all_0_137_137 = e22 | all_0_138_138 = e22) & (all_0_136_136 = e21 | all_0_137_137 = e21 | all_0_138_138 = e21) & (all_0_137_137 = e23 | all_0_137_137 = e22 | all_0_137_137 = e21) & (all_0_138_138 = e23 | all_0_138_138 = e22 | all_0_138_138 = e21 | all_0_138_138 = e20) & (all_0_139_139 = e23 | all_0_139_139 = e21 | all_0_139_139 = e20) & (all_0_139_139 = e23 | all_0_140_140 = e23 | all_0_141_141 = e23) & (all_0_139_139 = e21 | all_0_140_140 = e21 | all_0_141_141 = e21) & (all_0_139_139 = e20 | all_0_141_141 = e20) & (all_0_140_140 = e23 | all_0_140_140 = e21) & (all_0_141_141 = e23 | all_0_141_141 = e21 | all_0_141_141 = e20) & (all_0_142_142 = e13 | all_0_142_142 = e12) & (all_0_142_142 = e13 | all_0_143_143 = e13) & (all_0_142_142 = e13 | all_0_145_145 = e13 | all_0_149_149 = e13 | all_0_152_152 = e13) & (all_0_142_142 = e12 | all_0_143_143 = e12) & (all_0_142_142 = e12 | all_0_145_145 = e12 | all_0_149_149 = e12) & (all_0_143_143 = e13 | all_0_143_143 = e12) & (all_0_143_143 = e13 | all_0_147_147 = e13 | all_0_151_151 = e13 | all_0_154_154 = e13) & (all_0_143_143 = e12 | all_0_147_147 = e12 | all_0_151_151 = e12) & (all_0_144_144 = e13 | all_0_144_144 = e10) & (all_0_144_144 = e13 | all_0_145_145 = e13 | all_0_146_146 = e13 | all_0_147_147 = e13) & (all_0_144_144 = e13 | all_0_148_148 = e13) & (all_0_144_144 = e10 | all_0_145_145 = e10 | all_0_147_147 = e10) & (all_0_144_144 = e10 | all_0_148_148 = e10) & (all_0_145_145 = e13 | all_0_145_145 = e12 | all_0_145_145 = e11 | all_0_145_145 = e10) & (all_0_145_145 = e12 | all_0_146_146 = e12 | all_0_147_147 = e12) & (all_0_145_145 = e11 | all_0_146_146 = e11 | all_0_147_147 = e11) & (all_0_145_145 = e11 | all_0_149_149 = e11 | all_0_152_152 = e11) & (all_0_145_145 = e10 | all_0_149_149 = e10 | all_0_152_152 = e10) & (all_0_146_146 = e13 | all_0_146_146 = e12 | all_0_146_146 = e11) & (all_0_146_146 = e13 | all_0_150_150 = e13 | all_0_153_153 = e13) & (all_0_146_146 = e12 | all_0_150_150 = e12) & (all_0_146_146 = e11 | all_0_150_150 = e11 | all_0_153_153 = e11) & (all_0_147_147 = e13 | all_0_147_147 = e12 | all_0_147_147 = e11 | all_0_147_147 = e10) & (all_0_147_147 = e11 | all_0_151_151 = e11 | all_0_154_154 = e11) & (all_0_147_147 = e10 | all_0_151_151 = e10 | all_0_154_154 = e10) & (all_0_148_148 = e13 | all_0_148_148 = e10) & (all_0_148_148 = e13 | all_0_149_149 = e13 | all_0_150_150 = e13 | all_0_151_151 = e13) & (all_0_148_148 = e10 | all_0_149_149 = e10 | all_0_151_151 = e10) & (all_0_149_149 = e13 | all_0_149_149 = e12 | all_0_149_149 = e11 | all_0_149_149 = e10) & (all_0_149_149 = e12 | all_0_150_150 = e12 | all_0_151_151 = e12) & (all_0_149_149 = e11 | all_0_150_150 = e11 | all_0_151_151 = e11) & (all_0_150_150 = e13 | all_0_150_150 = e12 | all_0_150_150 = e11) & (all_0_151_151 = e13 | all_0_151_151 = e12 | all_0_151_151 = e11 | all_0_151_151 = e10) & (all_0_152_152 = e13 | all_0_152_152 = e11 | all_0_152_152 = e10) & (all_0_152_152 = e13 | all_0_153_153 = e13 | all_0_154_154 = e13) & (all_0_152_152 = e11 | all_0_153_153 = e11 | all_0_154_154 = e11) & (all_0_152_152 = e10 | all_0_154_154 = e10) & (all_0_153_153 = e13 | all_0_153_153 = e11) & (all_0_154_154 = e13 | all_0_154_154 = e11 | all_0_154_154 = e10) & ((all_0_103_103 = e22 & all_0_104_104 = e20 & all_0_137_137 = e23 & all_0_141_141 = e21) | (all_0_105_105 = e23 & all_0_106_106 = e22 & all_0_107_107 = e21 & all_0_108_108 = e20) | (all_0_109_109 = e23 & all_0_110_110 = e22 & all_0_111_111 = e21 & all_0_112_112 = e20) | (all_0_113_113 = e22 & all_0_114_114 = e21 & all_0_115_115 = e20 & all_0_132_132 = e23)) & ((all_0_116_116 = e12 & all_0_117_117 = e10 & all_0_150_150 = e13 & all_0_154_154 = e11) | (all_0_118_118 = e13 & all_0_119_119 = e12 & all_0_120_120 = e11 & all_0_121_121 = e10) | (all_0_122_122 = e13 & all_0_123_123 = e12 & all_0_124_124 = e11 & all_0_125_125 = e10) | (all_0_126_126 = e12 & all_0_127_127 = e11 & all_0_128_128 = e10 & all_0_145_145 = e13))
% 13.66/3.67 |
% 13.66/3.67 | Applying alpha-rule on (1) yields:
% 13.66/3.67 | (2) ~ (all_0_144_144 = e12)
% 13.66/3.67 | (3) h3(all_0_151_151) = all_0_33_33
% 13.66/3.67 | (4) ~ (all_0_143_143 = all_0_154_154)
% 13.66/3.67 | (5) op2(all_0_99_99, all_0_99_99) = all_0_48_48
% 13.66/3.67 | (6) ~ (all_0_146_146 = all_0_153_153)
% 13.66/3.67 | (7) ~ (all_0_129_129 = all_0_130_130)
% 13.66/3.67 | (8) h1(all_0_153_153) = all_0_94_94
% 13.66/3.67 | (9) ~ (all_0_144_144 = all_0_147_147)
% 13.66/3.67 | (10) ~ (all_0_142_142 = e11)
% 13.66/3.67 | (11) h2(e11) = all_0_137_137
% 13.66/3.67 | (12) ~ (all_0_154_154 = e12)
% 13.66/3.67 | (13) ~ (all_0_41_41 = all_0_42_42) | ~ (all_0_43_43 = all_0_100_100) | ~ (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_99_99) | ~ (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_99_99 = e23) & ~ (all_0_100_100 = e23) & ~ (all_0_137_137 = e23)) | ( ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = e22) & ~ (all_0_137_137 = e22)) | ( ~ (all_0_99_99 = e20) & ~ (all_0_100_100 = e20))
% 13.66/3.67 | (14) ~ (all_0_148_148 = all_0_151_151)
% 13.66/3.67 | (15) op2(all_0_132_132, all_0_132_132) = all_0_30_30
% 13.66/3.67 | (16) h1(all_0_151_151) = all_0_89_89
% 13.66/3.67 | (17) all_0_129_129 = e23 | all_0_132_132 = e23 | all_0_136_136 = e23 | all_0_139_139 = e23
% 13.66/3.67 | (18) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0))
% 13.66/3.67 | (19) all_0_142_142 = e13 | all_0_143_143 = e13
% 13.66/3.67 | (20) all_0_140_140 = e23 | all_0_140_140 = e21
% 13.66/3.67 | (21) h3(all_0_146_146) = all_0_23_23
% 13.66/3.67 | (22) ~ (e23 = e22)
% 13.66/3.67 | (23) op1(all_0_143_143, all_0_143_143) = all_0_117_117
% 13.66/3.67 | (24) op1(e13, e10) = all_0_143_143
% 13.66/3.67 | (25) ~ (all_0_137_137 = all_0_138_138)
% 13.66/3.67 | (26) op2(all_0_98_98, e22) = all_0_34_34
% 13.66/3.67 | (27) ~ (e21 = e10)
% 13.66/3.67 | (28) op2(e20, e20) = all_0_141_141
% 13.66/3.67 | (29) ~ (all_0_144_144 = e11)
% 13.66/3.67 | (30) all_0_144_144 = e10 | all_0_145_145 = e10 | all_0_147_147 = e10
% 13.66/3.67 | (31) ~ (all_0_135_135 = e21)
% 13.66/3.67 | (32) op2(all_0_132_132, all_0_98_98) = all_0_32_32
% 13.66/3.67 | (33) h2(all_0_148_148) = all_0_55_55
% 13.66/3.67 | (34) ~ (all_0_135_135 = all_0_136_136)
% 13.66/3.67 | (35) op1(e11, e10) = all_0_151_151
% 13.66/3.68 | (36) h4(e12) = e22
% 13.66/3.68 | (37) op1(all_0_154_154, all_0_154_154) = all_0_128_128
% 13.66/3.68 | (38) h4(all_0_144_144) = all_0_2_2
% 13.66/3.68 | (39) ~ (e22 = e11)
% 13.66/3.68 | (40) ~ (all_0_129_129 = e21)
% 13.66/3.68 | (41) op2(e20, all_0_102_102) = all_0_72_72
% 13.66/3.68 | (42) h1(all_0_147_147) = all_0_81_81
% 13.66/3.68 | (43) op2(all_0_132_132, all_0_132_132) = all_0_106_106
% 13.66/3.68 | (44) op2(e20, all_0_101_101) = all_0_69_69
% 13.66/3.68 | (45) all_0_143_143 = e12 | all_0_147_147 = e12 | all_0_151_151 = e12
% 13.66/3.68 | (46) all_0_144_144 = e13 | all_0_144_144 = e10
% 13.66/3.68 | (47) op2(all_0_137_137, e21) = all_0_54_54
% 13.66/3.68 | (48) ~ (all_0_139_139 = e22)
% 13.66/3.68 | (49) ~ (all_0_143_143 = e11)
% 13.66/3.68 | (50) ~ (all_0_148_148 = e11)
% 13.66/3.68 | (51) h1(all_0_142_142) = all_0_70_70
% 13.66/3.68 | (52) ~ (all_0_148_148 = all_0_150_150)
% 13.66/3.68 | (53) ~ (all_0_146_146 = e10)
% 13.66/3.68 | (54) op2(all_0_141_141, all_0_141_141) = all_0_86_86
% 13.66/3.68 | (55) all_0_139_139 = e20 | all_0_141_141 = e20
% 13.66/3.68 | (56) ~ (all_0_135_135 = all_0_137_137)
% 13.66/3.68 | (57) op2(all_0_102_102, e20) = all_0_101_101
% 13.66/3.68 | (58) all_0_150_150 = e13 | all_0_150_150 = e12 | all_0_150_150 = e11
% 13.66/3.68 | (59) op2(e22, e20) = all_0_134_134
% 13.66/3.68 | (60) ~ (all_0_153_153 = all_0_154_154)
% 13.66/3.68 | (61) all_0_154_154 = e13 | all_0_154_154 = e11 | all_0_154_154 = e10
% 13.66/3.68 | (62) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0))
% 13.66/3.68 | (63) op2(all_0_97_97, all_0_132_132) = all_0_22_22
% 13.66/3.68 | (64) ~ (all_0_148_148 = e12)
% 13.66/3.68 | (65) all_0_145_145 = e10 | all_0_149_149 = e10 | all_0_152_152 = e10
% 13.66/3.68 | (66) ~ (all_0_152_152 = e12)
% 13.66/3.68 | (67) all_0_151_151 = e13 | all_0_151_151 = e12 | all_0_151_151 = e11 | all_0_151_151 = e10
% 13.66/3.68 | (68) op2(all_0_100_100, all_0_137_137) = all_0_65_65
% 13.66/3.68 | (69) all_0_147_147 = e11 | all_0_151_151 = e11 | all_0_154_154 = e11
% 13.66/3.68 | (70) op2(e23, e21) = e20
% 13.66/3.68 | (71) op2(e22, all_0_97_97) = all_0_13_13
% 13.66/3.68 | (72) op2(e21, all_0_99_99) = all_0_41_41
% 13.66/3.68 | (73) ~ (all_0_142_142 = all_0_149_149)
% 13.66/3.68 | (74) ~ (all_0_131_131 = all_0_135_135)
% 13.66/3.68 | (75) all_0_145_145 = e12 | all_0_146_146 = e12 | all_0_147_147 = e12
% 13.66/3.68 | (76) ~ (all_0_140_140 = all_0_141_141)
% 13.66/3.68 | (77) h2(e12) = all_0_99_99
% 13.66/3.68 | (78) all_0_149_149 = e12 | all_0_150_150 = e12 | all_0_151_151 = e12
% 13.66/3.68 | (79) h3(all_0_142_142) = all_0_14_14
% 13.66/3.68 | (80) all_0_152_152 = e13 | all_0_153_153 = e13 | all_0_154_154 = e13
% 13.66/3.68 | (81) op1(e10, e13) = e12
% 13.66/3.68 | (82) ~ (all_0_132_132 = all_0_136_136)
% 13.66/3.68 | (83) h4(all_0_146_146) = all_0_4_4
% 13.66/3.68 | (84) ~ (all_0_142_142 = all_0_143_143)
% 13.66/3.68 | (85) op2(all_0_99_99, e21) = all_0_46_46
% 13.66/3.68 | (86) ~ (all_0_145_145 = all_0_146_146)
% 13.66/3.68 | (87) op2(all_0_130_130, all_0_130_130) = all_0_104_104
% 13.66/3.68 | (88) op2(e21, e22) = all_0_136_136
% 13.66/3.68 | (89) ~ (all_0_0_0 = all_0_129_129) | ~ (all_0_1_1 = all_0_130_130) | ~ (all_0_2_2 = all_0_131_131) | ~ (all_0_3_3 = all_0_132_132) | ~ (all_0_4_4 = all_0_133_133) | ~ (all_0_5_5 = all_0_134_134) | ~ (all_0_6_6 = all_0_135_135) | ~ (all_0_7_7 = all_0_136_136) | ~ (all_0_8_8 = all_0_137_137) | ~ (all_0_9_9 = all_0_138_138) | ~ (all_0_10_10 = all_0_139_139) | ~ (all_0_11_11 = all_0_140_140) | ~ (all_0_12_12 = all_0_141_141)
% 13.66/3.68 | (90) op1(all_0_145_145, all_0_145_145) = all_0_119_119
% 13.66/3.68 | (91) op2(e23, e22) = all_0_129_129
% 13.66/3.68 | (92) all_0_129_129 = e22 | all_0_132_132 = e22 | all_0_136_136 = e22
% 13.66/3.68 | (93) h2(all_0_144_144) = all_0_47_47
% 13.66/3.68 | (94) op2(all_0_100_100, all_0_100_100) = all_0_67_67
% 13.66/3.68 | (95) h4(e13) = e23
% 13.66/3.68 | (96) ~ (all_0_134_134 = all_0_138_138)
% 13.66/3.68 | (97) op1(e12, e10) = all_0_147_147
% 13.66/3.68 | (98) op1(all_0_142_142, all_0_142_142) = all_0_116_116
% 13.66/3.68 | (99) h1(all_0_149_149) = all_0_85_85
% 13.66/3.68 | (100) op1(all_0_152_152, all_0_152_152) = all_0_126_126
% 13.66/3.68 | (101) ~ (e23 = e13)
% 13.66/3.68 | (102) op1(e10, e12) = all_0_152_152
% 13.66/3.68 | (103) op2(all_0_141_141, all_0_141_141) = all_0_115_115
% 13.66/3.68 | (104) ~ (all_0_147_147 = all_0_154_154)
% 13.66/3.68 | (105) h3(e10) = all_0_98_98
% 13.66/3.68 | (106) op2(all_0_141_141, e20) = all_0_82_82
% 13.66/3.68 | (107) all_0_145_145 = e11 | all_0_149_149 = e11 | all_0_152_152 = e11
% 13.66/3.68 | (108) h1(all_0_150_150) = all_0_87_87
% 13.66/3.68 | (109) h2(all_0_154_154) = all_0_68_68
% 13.66/3.69 | (110) ~ (all_0_130_130 = all_0_138_138)
% 13.66/3.69 | (111) op1(e10, e10) = all_0_154_154
% 13.66/3.69 | (112) ~ (e22 = e20)
% 13.66/3.69 | (113) op2(e20, all_0_141_141) = all_0_71_71
% 13.66/3.69 | (114) h1(e11) = all_0_141_141
% 13.66/3.69 | (115) h1(e10) = all_0_102_102
% 13.66/3.69 | (116) ~ (all_0_129_129 = all_0_136_136)
% 13.66/3.69 | (117) ~ (all_0_129_129 = all_0_139_139)
% 13.66/3.69 | (118) ~ (all_0_143_143 = all_0_147_147)
% 13.66/3.69 | (119) all_0_129_129 = e23 | all_0_129_129 = e22
% 13.66/3.69 | (120) all_0_129_129 = e22 | all_0_130_130 = e22
% 13.66/3.69 | (121) ~ (all_0_152_152 = all_0_154_154)
% 13.66/3.69 | (122) ~ (all_0_144_144 = all_0_148_148)
% 13.66/3.69 | (123) h4(all_0_145_145) = all_0_3_3
% 13.66/3.69 | (124) all_0_135_135 = e23 | all_0_135_135 = e20
% 13.66/3.69 | (125) op2(e22, e23) = all_0_131_131
% 13.66/3.69 | (126) ~ (all_0_132_132 = all_0_133_133)
% 13.66/3.69 | (127) op2(all_0_137_137, all_0_100_100) = all_0_60_60
% 13.66/3.69 | (128) ~ (all_0_133_133 = e20)
% 13.66/3.69 | (129) all_0_132_132 = e21 | all_0_136_136 = e21 | all_0_139_139 = e21
% 13.66/3.69 | (130) ~ (all_0_135_135 = e22)
% 13.66/3.69 | (131) ~ (all_0_151_151 = all_0_154_154)
% 13.66/3.69 | (132) h3(all_0_145_145) = all_0_21_21
% 13.66/3.69 | (133) op2(e22, all_0_98_98) = all_0_16_16
% 13.66/3.69 | (134) op1(all_0_150_150, all_0_150_150) = all_0_124_124
% 13.66/3.69 | (135) op2(all_0_98_98, all_0_97_97) = all_0_35_35
% 13.66/3.69 | (136) h4(all_0_150_150) = all_0_8_8
% 13.66/3.69 | (137) op2(all_0_101_101, all_0_141_141) = all_0_78_78
% 13.66/3.69 | (138) ~ (all_0_129_129 = e20)
% 13.66/3.69 | (139) op2(e20, e22) = all_0_139_139
% 13.66/3.69 | (140) ~ (all_0_129_129 = all_0_132_132)
% 13.66/3.69 | (141) all_0_142_142 = e13 | all_0_145_145 = e13 | all_0_149_149 = e13 | all_0_152_152 = e13
% 13.66/3.69 | (142) ~ (all_0_140_140 = e22)
% 13.66/3.69 | (143) op2(all_0_137_137, all_0_137_137) = all_0_111_111
% 13.66/3.69 | (144) h3(all_0_144_144) = all_0_19_19
% 13.66/3.69 | (145) ~ (e21 = e11)
% 13.66/3.69 | (146) h4(all_0_142_142) = all_0_0_0
% 13.66/3.69 | (147) h2(all_0_151_151) = all_0_61_61
% 13.66/3.69 | (148) h3(all_0_154_154) = all_0_40_40
% 13.66/3.69 | (149) ~ (e12 = e10)
% 13.66/3.69 | (150) h2(all_0_152_152) = all_0_64_64
% 13.66/3.69 | (151) h1(all_0_145_145) = all_0_77_77
% 13.66/3.69 | (152) h3(all_0_153_153) = all_0_38_38
% 13.66/3.69 | (153) op2(all_0_98_98, e22) = all_0_97_97
% 13.66/3.69 | (154) ~ (e20 = e10)
% 13.66/3.69 | (155) h1(all_0_154_154) = all_0_96_96
% 13.66/3.69 | (156) all_0_134_134 = e23 | all_0_134_134 = e22 | all_0_134_134 = e21 | all_0_134_134 = e20
% 13.66/3.69 | (157) all_0_132_132 = e22 | all_0_133_133 = e22 | all_0_134_134 = e22
% 13.66/3.69 | (158) ~ (all_0_130_130 = all_0_134_134)
% 13.66/3.69 | (159) all_0_152_152 = e11 | all_0_153_153 = e11 | all_0_154_154 = e11
% 13.66/3.69 | (160) ~ (all_0_142_142 = all_0_152_152)
% 13.66/3.69 | (161) op2(all_0_134_134, all_0_134_134) = all_0_108_108
% 13.66/3.69 | (162) h3(all_0_150_150) = all_0_31_31
% 13.66/3.69 | (163) h3(all_0_149_149) = all_0_29_29
% 13.66/3.69 | (164) all_0_143_143 = e13 | all_0_147_147 = e13 | all_0_151_151 = e13 | all_0_154_154 = e13
% 13.66/3.69 | (165) all_0_146_146 = e11 | all_0_150_150 = e11 | all_0_153_153 = e11
% 13.66/3.69 | (166) h4(all_0_149_149) = all_0_7_7
% 13.66/3.69 | (167) ~ (all_0_153_153 = e10)
% 13.66/3.69 | (168) ~ (all_0_132_132 = all_0_134_134)
% 13.66/3.69 | (169) ~ (all_0_144_144 = all_0_145_145)
% 13.66/3.69 | (170) op1(e12, e12) = all_0_145_145
% 13.66/3.69 | (171) op2(all_0_132_132, all_0_97_97) = all_0_28_28
% 13.66/3.69 | (172) h1(all_0_148_148) = all_0_83_83
% 13.66/3.69 | (173) all_0_148_148 = e13 | all_0_149_149 = e13 | all_0_150_150 = e13 | all_0_151_151 = e13
% 13.66/3.69 | (174) all_0_152_152 = e13 | all_0_152_152 = e11 | all_0_152_152 = e10
% 14.15/3.69 | (175) all_0_139_139 = e23 | all_0_139_139 = e21 | all_0_139_139 = e20
% 14.15/3.70 | (176) ~ (e13 = e10)
% 14.15/3.70 | (177) ~ (all_0_146_146 = all_0_147_147)
% 14.15/3.70 | (178) h1(all_0_152_152) = all_0_92_92
% 14.15/3.70 | (179) (all_0_103_103 = e22 & all_0_104_104 = e20 & all_0_137_137 = e23 & all_0_141_141 = e21) | (all_0_105_105 = e23 & all_0_106_106 = e22 & all_0_107_107 = e21 & all_0_108_108 = e20) | (all_0_109_109 = e23 & all_0_110_110 = e22 & all_0_111_111 = e21 & all_0_112_112 = e20) | (all_0_113_113 = e22 & all_0_114_114 = e21 & all_0_115_115 = e20 & all_0_132_132 = e23)
% 14.15/3.70 | (180) op2(all_0_141_141, all_0_101_101) = all_0_84_84
% 14.15/3.70 | (181) h4(e10) = e20
% 14.15/3.70 | (182) ~ (all_0_137_137 = all_0_140_140)
% 14.15/3.70 | (183) all_0_130_130 = e22 | all_0_134_134 = e22 | all_0_138_138 = e22
% 14.15/3.70 | (184) ~ (e20 = e13)
% 14.15/3.70 | (185) all_0_149_149 = e13 | all_0_149_149 = e12 | all_0_149_149 = e11 | all_0_149_149 = e10
% 14.15/3.70 | (186) op2(e22, e21) = all_0_133_133
% 14.15/3.70 | (187) ~ (all_0_13_13 = all_0_14_14) | ~ (all_0_15_15 = all_0_98_98) | ~ (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_97_97) | ~ (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_97_97 = e23) & ~ (all_0_98_98 = e23) & ~ (all_0_132_132 = e23)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e21) & ~ (all_0_132_132 = e21)) | ( ~ (all_0_97_97 = e20) & ~ (all_0_98_98 = e20) & ~ (all_0_132_132 = e20))
% 14.15/3.70 | (188) ~ (e20 = e11)
% 14.15/3.70 | (189) ~ (all_0_148_148 = all_0_149_149)
% 14.15/3.70 | (190) all_0_145_145 = e11 | all_0_146_146 = e11 | all_0_147_147 = e11
% 14.15/3.70 | (191) all_0_139_139 = e21 | all_0_140_140 = e21 | all_0_141_141 = e21
% 14.15/3.70 | (192) ~ (all_0_143_143 = e10)
% 14.15/3.70 | (193) all_0_131_131 = e20 | all_0_132_132 = e20 | all_0_134_134 = e20
% 14.15/3.70 | (194) all_0_148_148 = e13 | all_0_148_148 = e10
% 14.15/3.70 | (195) h2(all_0_147_147) = all_0_53_53
% 14.15/3.70 | (196) op2(e20, e23) = e22
% 14.15/3.70 | (197) ~ (e23 = e10)
% 14.15/3.70 | (198) all_0_146_146 = e12 | all_0_150_150 = e12
% 14.15/3.70 | (199) op2(all_0_98_98, all_0_98_98) = all_0_39_39
% 14.15/3.70 | (200) all_0_130_130 = e23 | all_0_134_134 = e23 | all_0_138_138 = e23 | all_0_141_141 = e23
% 14.15/3.70 | (201) ~ (all_0_133_133 = all_0_134_134)
% 14.15/3.70 | (202) op2(all_0_138_138, all_0_138_138) = all_0_112_112
% 14.15/3.70 | (203) all_0_142_142 = e12 | all_0_143_143 = e12
% 14.15/3.70 | (204) h4(all_0_152_152) = all_0_10_10
% 14.15/3.70 | (205) op2(e21, e23) = all_0_135_135
% 14.15/3.70 | (206) op2(e21, e20) = all_0_138_138
% 14.15/3.70 | (207) h2(all_0_149_149) = all_0_57_57
% 14.15/3.70 | (208) op1(all_0_153_153, all_0_153_153) = all_0_127_127
% 14.15/3.70 | (209) all_0_146_146 = e13 | all_0_146_146 = e12 | all_0_146_146 = e11
% 14.15/3.70 | (210) op2(all_0_135_135, all_0_135_135) = all_0_109_109
% 14.15/3.70 | (211) all_0_132_132 = e21 | all_0_133_133 = e21 | all_0_134_134 = e21
% 14.15/3.70 | (212) ~ (all_0_145_145 = all_0_149_149)
% 14.15/3.70 | (213) op2(all_0_100_100, e21) = all_0_99_99
% 14.15/3.70 | (214) ~ (all_0_133_133 = all_0_137_137)
% 14.15/3.70 | (215) all_0_139_139 = e23 | all_0_140_140 = e23 | all_0_141_141 = e23
% 14.15/3.70 | (216) h2(all_0_142_142) = all_0_42_42
% 14.15/3.70 | (217) all_0_144_144 = e13 | all_0_148_148 = e13
% 14.15/3.70 | (218) h3(all_0_152_152) = all_0_36_36
% 14.15/3.70 | (219) ~ (e22 = e21)
% 14.15/3.70 | (220) ~ (all_0_131_131 = all_0_132_132)
% 14.15/3.70 | (221) all_0_136_136 = e21 | all_0_137_137 = e21 | all_0_138_138 = e21
% 14.15/3.70 | (222) ~ (all_0_152_152 = all_0_153_153)
% 14.15/3.70 | (223) all_0_135_135 = e20 | all_0_136_136 = e20 | all_0_138_138 = e20
% 14.15/3.70 | (224) all_0_142_142 = e13 | all_0_142_142 = e12
% 14.15/3.70 | (225) op2(all_0_99_99, all_0_137_137) = all_0_50_50
% 14.15/3.70 | (226) op2(e22, all_0_132_132) = all_0_98_98
% 14.15/3.70 | (227) ~ (all_0_137_137 = e20)
% 14.15/3.70 | (228) op2(all_0_137_137, all_0_99_99) = all_0_56_56
% 14.15/3.70 | (229) ~ (all_0_138_138 = all_0_141_141)
% 14.15/3.70 | (230) ~ (all_0_141_141 = e22)
% 14.15/3.70 | (231) all_0_142_142 = e12 | all_0_145_145 = e12 | all_0_149_149 = e12
% 14.15/3.70 | (232) ~ (e23 = e12)
% 14.15/3.70 | (233) ~ (all_0_153_153 = e12)
% 14.15/3.70 | (234) h4(all_0_143_143) = all_0_1_1
% 14.15/3.70 | (235) h3(e12) = all_0_97_97
% 14.15/3.70 | (236) all_0_144_144 = e10 | all_0_148_148 = e10
% 14.15/3.70 | (237) h1(e12) = all_0_101_101
% 14.15/3.70 | (238) ~ (all_0_149_149 = all_0_152_152)
% 14.15/3.70 | (239) h4(all_0_148_148) = all_0_6_6
% 14.15/3.70 | (240) ~ (all_0_139_139 = all_0_140_140)
% 14.15/3.70 | (241) h1(all_0_146_146) = all_0_79_79
% 14.15/3.70 | (242) ~ (all_0_136_136 = all_0_137_137)
% 14.15/3.70 | (243) all_0_133_133 = e22 | all_0_137_137 = e22
% 14.15/3.70 | (244) op2(all_0_133_133, all_0_133_133) = all_0_107_107
% 14.15/3.70 | (245) ~ (all_0_144_144 = all_0_146_146)
% 14.15/3.70 | (246) h3(all_0_147_147) = all_0_25_25
% 14.15/3.70 | (247) ~ (e20 = e12)
% 14.15/3.70 | (248) op1(e13, e13) = e11
% 14.15/3.70 | (249) ~ (e23 = e20)
% 14.15/3.70 | (250) ~ (all_0_131_131 = e22)
% 14.15/3.70 | (251) op2(all_0_99_99, all_0_100_100) = all_0_52_52
% 14.15/3.70 | (252) op2(all_0_139_139, all_0_139_139) = all_0_113_113
% 14.15/3.70 | (253) h4(all_0_153_153) = all_0_11_11
% 14.15/3.70 | (254) ~ (all_0_150_150 = all_0_153_153)
% 14.15/3.70 | (255) h2(e10) = all_0_100_100
% 14.15/3.70 | (256) all_0_138_138 = e23 | all_0_138_138 = e22 | all_0_138_138 = e21 | all_0_138_138 = e20
% 14.15/3.70 | (257) all_0_130_130 = e23 | all_0_130_130 = e22
% 14.15/3.70 | (258) op1(e12, e11) = all_0_146_146
% 14.15/3.70 | (259) op2(all_0_102_102, all_0_101_101) = all_0_91_91
% 14.15/3.70 | (260) op2(all_0_101_101, all_0_102_102) = all_0_80_80
% 14.15/3.71 | (261) ~ (all_0_131_131 = all_0_134_134)
% 14.15/3.71 | (262) ~ (all_0_133_133 = all_0_140_140)
% 14.15/3.71 | (263) all_0_131_131 = e23 | all_0_131_131 = e20
% 14.15/3.71 | (264) ~ (e23 = e21)
% 14.15/3.71 | (265) all_0_132_132 = e23 | all_0_132_132 = e22 | all_0_132_132 = e21 | all_0_132_132 = e20
% 14.15/3.71 | (266) op2(e23, e23) = e21
% 14.15/3.71 | (267) op1(e12, e13) = all_0_144_144
% 14.15/3.71 | (268) all_0_152_152 = e10 | all_0_154_154 = e10
% 14.15/3.71 | (269) h4(all_0_151_151) = all_0_9_9
% 14.15/3.71 | (270) ~ (e22 = e13)
% 14.15/3.71 | (271) op2(e21, all_0_137_137) = all_0_43_43
% 14.15/3.71 | (272) ~ (e22 = e12)
% 14.15/3.71 | (273) h2(all_0_145_145) = all_0_49_49
% 14.15/3.71 | (274) h2(all_0_150_150) = all_0_59_59
% 14.15/3.71 | (275) ~ (all_0_130_130 = e21)
% 14.15/3.71 | (276) all_0_133_133 = e23 | all_0_133_133 = e22 | all_0_133_133 = e21
% 14.15/3.71 | (277) ~ (e13 = e12)
% 14.15/3.71 | (278) h3(e13) = e22
% 14.15/3.71 | (279) all_0_146_146 = e13 | all_0_150_150 = e13 | all_0_153_153 = e13
% 14.15/3.71 | (280) all_0_134_134 = e21 | all_0_138_138 = e21 | all_0_141_141 = e21
% 14.15/3.71 | (281) op2(e21, e21) = all_0_137_137
% 14.15/3.71 | (282) op1(all_0_151_151, all_0_151_151) = all_0_125_125
% 14.15/3.71 | (283) op2(e22, e22) = all_0_132_132
% 14.15/3.71 | (284) ~ (e11 = e10)
% 14.15/3.71 | (285) op2(all_0_136_136, all_0_136_136) = all_0_110_110
% 14.15/3.71 | (286) h4(all_0_154_154) = all_0_12_12
% 14.15/3.71 | (287) all_0_149_149 = e11 | all_0_150_150 = e11 | all_0_151_151 = e11
% 14.15/3.71 | (288) op2(all_0_102_102, all_0_141_141) = all_0_93_93
% 14.15/3.71 | (289) ~ (all_0_131_131 = all_0_133_133)
% 14.15/3.71 | (290) op2(e22, all_0_132_132) = all_0_15_15
% 14.15/3.71 | (291) ~ (all_0_140_140 = e20)
% 14.15/3.71 | (292) op2(e21, all_0_137_137) = all_0_100_100
% 14.15/3.71 | (293) (all_0_116_116 = e12 & all_0_117_117 = e10 & all_0_150_150 = e13 & all_0_154_154 = e11) | (all_0_118_118 = e13 & all_0_119_119 = e12 & all_0_120_120 = e11 & all_0_121_121 = e10) | (all_0_122_122 = e13 & all_0_123_123 = e12 & all_0_124_124 = e11 & all_0_125_125 = e10) | (all_0_126_126 = e12 & all_0_127_127 = e11 & all_0_128_128 = e10 & all_0_145_145 = e13)
% 14.15/3.71 | (294) op1(e13, e11) = e10
% 14.15/3.71 | (295) op2(e20, all_0_141_141) = all_0_102_102
% 14.15/3.71 | (296) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 14.15/3.71 | (297) ~ (e23 = e11)
% 14.15/3.71 | (298) ~ (all_0_149_149 = all_0_151_151)
% 14.15/3.71 | (299) h2(all_0_146_146) = all_0_51_51
% 14.15/3.71 | (300) all_0_136_136 = e23 | all_0_136_136 = e22 | all_0_136_136 = e21 | all_0_136_136 = e20
% 14.15/3.71 | (301) op1(all_0_144_144, all_0_144_144) = all_0_118_118
% 14.15/3.71 | (302) all_0_131_131 = e20 | all_0_135_135 = e20
% 14.15/3.71 | (303) op2(all_0_97_97, all_0_97_97) = all_0_20_20
% 14.15/3.71 | (304) op1(e11, e11) = all_0_150_150
% 14.15/3.71 | (305) ~ (e12 = e11)
% 14.15/3.71 | (306) ~ (all_0_132_132 = all_0_139_139)
% 14.15/3.71 | (307) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0))
% 14.15/3.71 | (308) ~ (e21 = e12)
% 14.15/3.71 | (309) op1(e11, e12) = all_0_149_149
% 14.15/3.71 | (310) h2(e13) = e21
% 14.15/3.71 | (311) all_0_131_131 = e23 | all_0_135_135 = e23
% 14.15/3.71 | (312) op2(all_0_100_100, all_0_99_99) = all_0_63_63
% 14.15/3.71 | (313) all_0_133_133 = e23 | all_0_137_137 = e23 | all_0_140_140 = e23
% 14.15/3.71 | (314) all_0_129_129 = e23 | all_0_130_130 = e23
% 14.15/3.71 | (315) op1(all_0_146_146, all_0_146_146) = all_0_120_120
% 14.15/3.71 | (316) all_0_133_133 = e21 | all_0_137_137 = e21 | all_0_140_140 = e21
% 14.15/3.71 | (317) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0))
% 14.15/3.71 | (318) op2(all_0_141_141, all_0_102_102) = all_0_88_88
% 14.15/3.71 | (319) ~ (e21 = e20)
% 14.15/3.71 | (320) ~ (all_0_134_134 = all_0_141_141)
% 14.15/3.71 | (321) op1(all_0_149_149, all_0_149_149) = all_0_123_123
% 14.15/3.71 | (322) ~ (all_0_130_130 = all_0_141_141)
% 14.15/3.71 | (323) op1(e11, e13) = all_0_148_148
% 14.15/3.71 | (324) op1(all_0_148_148, all_0_148_148) = all_0_122_122
% 14.15/3.71 | (325) ~ (all_0_136_136 = all_0_139_139)
% 14.15/3.71 | (326) ~ (all_0_142_142 = all_0_145_145)
% 14.15/3.71 | (327) op2(e23, e20) = all_0_130_130
% 14.15/3.71 | (328) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 14.15/3.71 | (329) all_0_134_134 = e20 | all_0_138_138 = e20 | all_0_141_141 = e20
% 14.15/3.71 | (330) h4(all_0_147_147) = all_0_5_5
% 14.15/3.71 | (331) ~ (e21 = e13)
% 14.15/3.71 | (332) all_0_144_144 = e13 | all_0_145_145 = e13 | all_0_146_146 = e13 | all_0_147_147 = e13
% 14.15/3.71 | (333) op1(e10, e11) = all_0_153_153
% 14.15/3.71 | (334) h3(all_0_143_143) = all_0_17_17
% 14.15/3.71 | (335) h3(e11) = all_0_132_132
% 14.15/3.71 | (336) h1(e13) = e20
% 14.15/3.71 | (337) ~ (all_0_139_139 = all_0_141_141)
% 14.15/3.71 | (338) ~ (all_0_146_146 = all_0_150_150)
% 14.15/3.71 | (339) ~ (all_0_150_150 = e10)
% 14.15/3.71 | (340) op2(all_0_131_131, all_0_131_131) = all_0_105_105
% 14.15/3.71 | (341) ~ (all_0_131_131 = e21)
% 14.15/3.71 | (342) op2(all_0_132_132, e22) = all_0_26_26
% 14.15/3.71 | (343) h2(all_0_153_153) = all_0_66_66
% 14.15/3.71 | (344) all_0_145_145 = e13 | all_0_145_145 = e12 | all_0_145_145 = e11 | all_0_145_145 = e10
% 14.15/3.71 | (345) op2(all_0_97_97, e22) = all_0_18_18
% 14.15/3.71 | (346) all_0_141_141 = e23 | all_0_141_141 = e21 | all_0_141_141 = e20
% 14.15/3.71 | (347) op2(all_0_102_102, e20) = all_0_90_90
% 14.15/3.71 | (348) all_0_153_153 = e13 | all_0_153_153 = e11
% 14.15/3.71 | (349) h1(all_0_144_144) = all_0_75_75
% 14.15/3.71 | (350) op2(e21, all_0_100_100) = all_0_44_44
% 14.15/3.71 | (351) op2(all_0_137_137, all_0_137_137) = all_0_58_58
% 14.15/3.71 | (352) op1(all_0_147_147, all_0_147_147) = all_0_121_121
% 14.15/3.71 | (353) h3(all_0_148_148) = all_0_27_27
% 14.15/3.71 | (354) ~ (all_0_147_147 = all_0_151_151)
% 14.15/3.71 | (355) op2(all_0_97_97, all_0_98_98) = all_0_24_24
% 14.15/3.71 | (356) ~ (all_0_149_149 = all_0_150_150)
% 14.15/3.71 | (357) ~ (all_0_136_136 = all_0_138_138)
% 14.15/3.71 | (358) ~ (e13 = e11)
% 14.15/3.71 | (359) h4(e11) = e21
% 14.15/3.71 | (360) op2(all_0_98_98, all_0_132_132) = all_0_37_37
% 14.15/3.71 | (361) op1(e13, e12) = all_0_142_142
% 14.15/3.71 | (362) op2(all_0_129_129, all_0_129_129) = all_0_103_103
% 14.15/3.71 | (363) ~ (all_0_145_145 = all_0_152_152)
% 14.15/3.72 | (364) op2(all_0_102_102, all_0_102_102) = all_0_95_95
% 14.15/3.72 | (365) all_0_132_132 = e20 | all_0_136_136 = e20 | all_0_139_139 = e20
% 14.15/3.72 | (366) op2(all_0_101_101, all_0_101_101) = all_0_76_76
% 14.15/3.72 | (367) all_0_136_136 = e22 | all_0_137_137 = e22 | all_0_138_138 = e22
% 14.15/3.72 | (368) ~ (all_0_130_130 = e20)
% 14.15/3.72 | (369) all_0_131_131 = e23 | all_0_132_132 = e23 | all_0_133_133 = e23 | all_0_134_134 = e23
% 14.15/3.72 | (370) ~ (all_0_135_135 = all_0_138_138)
% 14.15/3.72 | (371) ~ (all_0_69_69 = all_0_70_70) | ~ (all_0_71_71 = all_0_102_102) | ~ (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_101_101) | ~ (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_141_141 = e23)) | ( ~ (all_0_101_101 = e22) & ~ (all_0_102_102 = e22)) | ( ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e21) & ~ (all_0_141_141 = e21))
% 14.15/3.72 | (372) op2(all_0_101_101, e20) = all_0_74_74
% 14.15/3.72 | (373) ~ (all_0_150_150 = all_0_151_151)
% 14.15/3.72 | (374) all_0_143_143 = e13 | all_0_143_143 = e12
% 14.15/3.72 | (375) op2(e20, e21) = all_0_140_140
% 14.15/3.72 | (376) all_0_147_147 = e13 | all_0_147_147 = e12 | all_0_147_147 = e11 | all_0_147_147 = e10
% 14.15/3.72 | (377) all_0_137_137 = e23 | all_0_137_137 = e22 | all_0_137_137 = e21
% 14.15/3.72 | (378) ~ (all_0_145_145 = all_0_147_147)
% 14.15/3.72 | (379) ~ (e22 = e10)
% 14.15/3.72 | (380) all_0_147_147 = e10 | all_0_151_151 = e10 | all_0_154_154 = e10
% 14.15/3.72 | (381) op2(all_0_140_140, all_0_140_140) = all_0_114_114
% 14.15/3.72 | (382) h1(all_0_143_143) = all_0_73_73
% 14.15/3.72 | (383) all_0_148_148 = e10 | all_0_149_149 = e10 | all_0_151_151 = e10
% 14.15/3.72 | (384) all_0_135_135 = e23 | all_0_136_136 = e23 | all_0_137_137 = e23 | all_0_138_138 = e23
% 14.15/3.72 | (385) ~ (all_0_142_142 = e10)
% 14.15/3.72 | (386) ~ (all_0_143_143 = all_0_151_151)
% 14.15/3.72 | (387) h2(all_0_143_143) = all_0_45_45
% 14.15/3.72 | (388) op2(all_0_100_100, e21) = all_0_62_62
% 14.15/3.72 |
% 14.15/3.72 | Instantiating formula (328) with all_0_98_98, e22, all_0_97_97, all_0_34_34 and discharging atoms op2(all_0_98_98, e22) = all_0_34_34, op2(all_0_98_98, e22) = all_0_97_97, yields:
% 14.15/3.72 | (389) all_0_34_34 = all_0_97_97
% 14.15/3.72 |
% 14.15/3.72 | Instantiating formula (328) with all_0_100_100, e21, all_0_99_99, all_0_62_62 and discharging atoms op2(all_0_100_100, e21) = all_0_62_62, op2(all_0_100_100, e21) = all_0_99_99, yields:
% 14.15/3.72 | (390) all_0_62_62 = all_0_99_99
% 14.15/3.72 |
% 14.15/3.72 | Instantiating formula (328) with all_0_102_102, e20, all_0_101_101, all_0_90_90 and discharging atoms op2(all_0_102_102, e20) = all_0_90_90, op2(all_0_102_102, e20) = all_0_101_101, yields:
% 14.15/3.72 | (391) all_0_90_90 = all_0_101_101
% 14.15/3.72 |
% 14.15/3.72 | Instantiating formula (328) with all_0_132_132, all_0_132_132, all_0_106_106, all_0_30_30 and discharging atoms op2(all_0_132_132, all_0_132_132) = all_0_30_30, op2(all_0_132_132, all_0_132_132) = all_0_106_106, yields:
% 14.15/3.72 | (392) all_0_30_30 = all_0_106_106
% 14.15/3.72 |
% 14.15/3.72 | Instantiating formula (328) with all_0_137_137, all_0_137_137, all_0_111_111, all_0_58_58 and discharging atoms op2(all_0_137_137, all_0_137_137) = all_0_58_58, op2(all_0_137_137, all_0_137_137) = all_0_111_111, yields:
% 14.15/3.72 | (393) all_0_58_58 = all_0_111_111
% 14.15/3.72 |
% 14.15/3.72 | Instantiating formula (328) with all_0_141_141, all_0_141_141, all_0_115_115, all_0_86_86 and discharging atoms op2(all_0_141_141, all_0_141_141) = all_0_86_86, op2(all_0_141_141, all_0_141_141) = all_0_115_115, yields:
% 14.15/3.72 | (394) all_0_86_86 = all_0_115_115
% 14.15/3.72 |
% 14.15/3.72 | Instantiating formula (328) with e22, all_0_132_132, all_0_98_98, all_0_15_15 and discharging atoms op2(e22, all_0_132_132) = all_0_15_15, op2(e22, all_0_132_132) = all_0_98_98, yields:
% 14.15/3.72 | (395) all_0_15_15 = all_0_98_98
% 14.15/3.72 |
% 14.15/3.72 | Instantiating formula (328) with e21, all_0_137_137, all_0_100_100, all_0_43_43 and discharging atoms op2(e21, all_0_137_137) = all_0_43_43, op2(e21, all_0_137_137) = all_0_100_100, yields:
% 14.15/3.72 | (396) all_0_43_43 = all_0_100_100
% 14.15/3.72 |
% 14.15/3.72 | Instantiating formula (328) with e20, all_0_141_141, all_0_102_102, all_0_71_71 and discharging atoms op2(e20, all_0_141_141) = all_0_71_71, op2(e20, all_0_141_141) = all_0_102_102, yields:
% 14.15/3.72 | (397) all_0_71_71 = all_0_102_102
% 14.15/3.72 |
% 14.15/3.72 | From (389) and (26) follows:
% 14.15/3.72 | (153) op2(all_0_98_98, e22) = all_0_97_97
% 14.15/3.72 |
% 14.15/3.72 | From (390) and (388) follows:
% 14.15/3.72 | (213) op2(all_0_100_100, e21) = all_0_99_99
% 14.15/3.72 |
% 14.15/3.72 | From (391) and (347) follows:
% 14.15/3.72 | (57) op2(all_0_102_102, e20) = all_0_101_101
% 14.15/3.72 |
% 14.15/3.72 | From (392) and (15) follows:
% 14.15/3.72 | (43) op2(all_0_132_132, all_0_132_132) = all_0_106_106
% 14.15/3.72 |
% 14.15/3.72 | From (393) and (351) follows:
% 14.15/3.72 | (143) op2(all_0_137_137, all_0_137_137) = all_0_111_111
% 14.15/3.72 |
% 14.15/3.72 | From (394) and (54) follows:
% 14.15/3.72 | (103) op2(all_0_141_141, all_0_141_141) = all_0_115_115
% 14.15/3.72 |
% 14.15/3.72 | From (395) and (290) follows:
% 14.15/3.72 | (226) op2(e22, all_0_132_132) = all_0_98_98
% 14.15/3.72 |
% 14.15/3.72 | From (396) and (271) follows:
% 14.15/3.72 | (292) op2(e21, all_0_137_137) = all_0_100_100
% 14.15/3.72 |
% 14.15/3.72 | From (397) and (113) follows:
% 14.15/3.72 | (295) op2(e20, all_0_141_141) = all_0_102_102
% 14.15/3.72 |
% 14.15/3.72 +-Applying beta-rule and splitting (20), into two cases.
% 14.15/3.72 |-Branch one:
% 14.15/3.72 | (407) all_0_140_140 = e23
% 14.15/3.72 |
% 14.15/3.72 | Equations (407) can reduce 182 to:
% 14.15/3.72 | (408) ~ (all_0_137_137 = e23)
% 14.15/3.72 |
% 14.15/3.72 | Equations (407) can reduce 76 to:
% 14.15/3.72 | (409) ~ (all_0_141_141 = e23)
% 14.15/3.72 |
% 14.15/3.72 | Simplifying 409 yields:
% 14.15/3.72 | (410) ~ (all_0_141_141 = e23)
% 14.15/3.72 |
% 14.15/3.72 | Equations (407) can reduce 291 to:
% 14.15/3.72 | (249) ~ (e23 = e20)
% 14.15/3.72 |
% 14.15/3.72 | From (407)(407) and (381) follows:
% 14.15/3.72 | (412) op2(e23, e23) = all_0_114_114
% 14.15/3.72 |
% 14.15/3.72 | Instantiating formula (328) with e23, e23, all_0_114_114, e21 and discharging atoms op2(e23, e23) = all_0_114_114, op2(e23, e23) = e21, yields:
% 14.15/3.72 | (413) all_0_114_114 = e21
% 14.15/3.72 |
% 14.15/3.72 | From (413) and (412) follows:
% 14.15/3.72 | (266) op2(e23, e23) = e21
% 14.15/3.72 |
% 14.15/3.72 +-Applying beta-rule and splitting (311), into two cases.
% 14.15/3.72 |-Branch one:
% 14.15/3.72 | (415) all_0_131_131 = e23
% 14.15/3.72 |
% 14.15/3.73 | Equations (415) can reduce 220 to:
% 14.15/3.73 | (416) ~ (all_0_132_132 = e23)
% 14.15/3.73 |
% 14.15/3.73 | Simplifying 416 yields:
% 14.15/3.73 | (417) ~ (all_0_132_132 = e23)
% 14.15/3.73 |
% 14.15/3.73 | Equations (415) can reduce 341 to:
% 14.15/3.73 | (264) ~ (e23 = e21)
% 14.15/3.73 |
% 14.15/3.73 | From (415)(415) and (340) follows:
% 14.15/3.73 | (419) op2(e23, e23) = all_0_105_105
% 14.15/3.73 |
% 14.15/3.73 +-Applying beta-rule and splitting (302), into two cases.
% 14.15/3.73 |-Branch one:
% 14.15/3.73 | (420) all_0_131_131 = e20
% 14.15/3.73 |
% 14.15/3.73 | Combining equations (420,415) yields a new equation:
% 14.15/3.73 | (421) e23 = e20
% 14.15/3.73 |
% 14.15/3.73 | Equations (421) can reduce 249 to:
% 14.15/3.73 | (422) $false
% 14.15/3.73 |
% 14.15/3.73 |-The branch is then unsatisfiable
% 14.15/3.73 |-Branch two:
% 14.15/3.73 | (423) ~ (all_0_131_131 = e20)
% 14.15/3.73 | (424) all_0_135_135 = e20
% 14.15/3.73 |
% 14.15/3.73 | From (424)(424) and (210) follows:
% 14.15/3.73 | (425) op2(e20, e20) = all_0_109_109
% 14.15/3.73 |
% 14.15/3.73 | Instantiating formula (328) with e23, e23, all_0_105_105, e21 and discharging atoms op2(e23, e23) = all_0_105_105, op2(e23, e23) = e21, yields:
% 14.15/3.73 | (426) all_0_105_105 = e21
% 14.15/3.73 |
% 14.15/3.73 | Instantiating formula (328) 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:
% 14.15/3.73 | (427) all_0_109_109 = all_0_141_141
% 14.15/3.73 |
% 14.15/3.73 +-Applying beta-rule and splitting (179), into two cases.
% 14.15/3.73 |-Branch one:
% 14.15/3.73 | (428) (all_0_103_103 = e22 & all_0_104_104 = e20 & all_0_137_137 = e23 & all_0_141_141 = e21) | (all_0_105_105 = e23 & all_0_106_106 = e22 & all_0_107_107 = e21 & all_0_108_108 = e20) | (all_0_109_109 = e23 & all_0_110_110 = e22 & all_0_111_111 = e21 & all_0_112_112 = e20)
% 14.15/3.73 |
% 14.15/3.73 +-Applying beta-rule and splitting (428), into two cases.
% 14.15/3.73 |-Branch one:
% 14.15/3.73 | (429) (all_0_103_103 = e22 & all_0_104_104 = e20 & all_0_137_137 = e23 & all_0_141_141 = e21) | (all_0_105_105 = e23 & all_0_106_106 = e22 & all_0_107_107 = e21 & all_0_108_108 = e20)
% 14.15/3.73 |
% 14.15/3.73 +-Applying beta-rule and splitting (429), into two cases.
% 14.15/3.73 |-Branch one:
% 14.15/3.73 | (430) all_0_103_103 = e22 & all_0_104_104 = e20 & all_0_137_137 = e23 & all_0_141_141 = e21
% 14.15/3.73 |
% 14.15/3.73 | Applying alpha-rule on (430) yields:
% 14.15/3.73 | (431) all_0_103_103 = e22
% 14.15/3.73 | (432) all_0_104_104 = e20
% 14.15/3.73 | (433) all_0_137_137 = e23
% 14.15/3.73 | (434) all_0_141_141 = e21
% 14.15/3.73 |
% 14.15/3.73 | Equations (433) can reduce 408 to:
% 14.15/3.73 | (422) $false
% 14.15/3.73 |
% 14.15/3.73 |-The branch is then unsatisfiable
% 14.15/3.73 |-Branch two:
% 14.15/3.73 | (436) all_0_105_105 = e23 & all_0_106_106 = e22 & all_0_107_107 = e21 & all_0_108_108 = e20
% 14.15/3.73 |
% 14.15/3.73 | Applying alpha-rule on (436) yields:
% 14.15/3.73 | (437) all_0_105_105 = e23
% 14.15/3.73 | (438) all_0_106_106 = e22
% 14.15/3.73 | (439) all_0_107_107 = e21
% 14.15/3.73 | (440) all_0_108_108 = e20
% 14.15/3.73 |
% 14.15/3.73 | Combining equations (426,437) yields a new equation:
% 14.15/3.73 | (441) e23 = e21
% 14.15/3.73 |
% 14.15/3.73 | Equations (441) can reduce 264 to:
% 14.15/3.73 | (422) $false
% 14.15/3.73 |
% 14.15/3.73 |-The branch is then unsatisfiable
% 14.15/3.73 |-Branch two:
% 14.15/3.73 | (443) all_0_109_109 = e23 & all_0_110_110 = e22 & all_0_111_111 = e21 & all_0_112_112 = e20
% 14.15/3.73 |
% 14.15/3.73 | Applying alpha-rule on (443) yields:
% 14.15/3.73 | (444) all_0_109_109 = e23
% 14.15/3.73 | (445) all_0_110_110 = e22
% 14.15/3.73 | (446) all_0_111_111 = e21
% 14.15/3.73 | (447) all_0_112_112 = e20
% 14.15/3.73 |
% 14.15/3.73 | Combining equations (427,444) yields a new equation:
% 14.15/3.73 | (448) all_0_141_141 = e23
% 14.15/3.73 |
% 14.15/3.73 | Simplifying 448 yields:
% 14.15/3.73 | (449) all_0_141_141 = e23
% 14.15/3.73 |
% 14.15/3.73 | Equations (449) can reduce 410 to:
% 14.15/3.73 | (422) $false
% 14.15/3.73 |
% 14.15/3.73 |-The branch is then unsatisfiable
% 14.15/3.73 |-Branch two:
% 14.15/3.73 | (451) all_0_113_113 = e22 & all_0_114_114 = e21 & all_0_115_115 = e20 & all_0_132_132 = e23
% 14.15/3.73 |
% 14.15/3.73 | Applying alpha-rule on (451) yields:
% 14.15/3.73 | (452) all_0_113_113 = e22
% 14.15/3.73 | (413) all_0_114_114 = e21
% 14.15/3.73 | (454) all_0_115_115 = e20
% 14.15/3.73 | (455) all_0_132_132 = e23
% 14.15/3.73 |
% 14.15/3.73 | Equations (455) can reduce 417 to:
% 14.15/3.73 | (422) $false
% 14.15/3.73 |
% 14.15/3.73 |-The branch is then unsatisfiable
% 14.15/3.73 |-Branch two:
% 14.15/3.73 | (457) ~ (all_0_131_131 = e23)
% 14.15/3.73 | (458) all_0_135_135 = e23
% 14.15/3.73 |
% 14.15/3.73 | Equations (458) can reduce 74 to:
% 14.15/3.73 | (457) ~ (all_0_131_131 = e23)
% 14.15/3.73 |
% 14.15/3.73 | Equations (458) can reduce 56 to:
% 14.15/3.73 | (460) ~ (all_0_137_137 = e23)
% 14.15/3.73 |
% 14.15/3.73 | Simplifying 460 yields:
% 14.15/3.73 | (408) ~ (all_0_137_137 = e23)
% 14.15/3.73 |
% 14.15/3.73 | Equations (458) can reduce 31 to:
% 14.15/3.73 | (264) ~ (e23 = e21)
% 14.15/3.73 |
% 14.15/3.73 | From (458)(458) and (210) follows:
% 14.15/3.73 | (463) op2(e23, e23) = all_0_109_109
% 14.15/3.73 |
% 14.15/3.73 +-Applying beta-rule and splitting (263), into two cases.
% 14.15/3.73 |-Branch one:
% 14.15/3.73 | (415) all_0_131_131 = e23
% 14.15/3.73 |
% 14.15/3.73 | Equations (415) can reduce 457 to:
% 14.15/3.73 | (422) $false
% 14.15/3.73 |
% 14.15/3.73 |-The branch is then unsatisfiable
% 14.15/3.73 |-Branch two:
% 14.15/3.73 | (457) ~ (all_0_131_131 = e23)
% 14.15/3.73 | (420) all_0_131_131 = e20
% 14.15/3.73 |
% 14.15/3.73 | Equations (420) can reduce 289 to:
% 14.15/3.73 | (468) ~ (all_0_133_133 = e20)
% 14.15/3.73 |
% 14.15/3.73 | Simplifying 468 yields:
% 14.15/3.73 | (128) ~ (all_0_133_133 = e20)
% 14.15/3.73 |
% 14.15/3.73 | Equations (420) can reduce 261 to:
% 14.15/3.73 | (470) ~ (all_0_134_134 = e20)
% 14.15/3.73 |
% 14.15/3.73 | Simplifying 470 yields:
% 14.15/3.73 | (471) ~ (all_0_134_134 = e20)
% 14.15/3.73 |
% 14.15/3.73 | From (420)(420) and (340) follows:
% 14.15/3.73 | (472) op2(e20, e20) = all_0_105_105
% 14.15/3.73 |
% 14.15/3.73 | From (420) and (125) follows:
% 14.15/3.73 | (473) op2(e22, e23) = e20
% 14.15/3.73 |
% 14.15/3.73 | Instantiating formula (328) with e23, e23, all_0_109_109, e21 and discharging atoms op2(e23, e23) = all_0_109_109, op2(e23, e23) = e21, yields:
% 14.15/3.73 | (474) all_0_109_109 = e21
% 14.15/3.73 |
% 14.15/3.73 | Instantiating formula (328) 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:
% 14.15/3.73 | (475) all_0_105_105 = all_0_141_141
% 14.15/3.73 |
% 14.15/3.73 | From (475) and (472) follows:
% 14.15/3.73 | (28) op2(e20, e20) = all_0_141_141
% 14.15/3.73 |
% 14.15/3.73 +-Applying beta-rule and splitting (179), into two cases.
% 14.15/3.73 |-Branch one:
% 14.15/3.73 | (428) (all_0_103_103 = e22 & all_0_104_104 = e20 & all_0_137_137 = e23 & all_0_141_141 = e21) | (all_0_105_105 = e23 & all_0_106_106 = e22 & all_0_107_107 = e21 & all_0_108_108 = e20) | (all_0_109_109 = e23 & all_0_110_110 = e22 & all_0_111_111 = e21 & all_0_112_112 = e20)
% 14.15/3.73 |
% 14.15/3.73 +-Applying beta-rule and splitting (428), into two cases.
% 14.15/3.73 |-Branch one:
% 14.15/3.73 | (429) (all_0_103_103 = e22 & all_0_104_104 = e20 & all_0_137_137 = e23 & all_0_141_141 = e21) | (all_0_105_105 = e23 & all_0_106_106 = e22 & all_0_107_107 = e21 & all_0_108_108 = e20)
% 14.15/3.73 |
% 14.15/3.73 +-Applying beta-rule and splitting (429), into two cases.
% 14.15/3.73 |-Branch one:
% 14.15/3.73 | (430) all_0_103_103 = e22 & all_0_104_104 = e20 & all_0_137_137 = e23 & all_0_141_141 = e21
% 14.15/3.73 |
% 14.15/3.73 | Applying alpha-rule on (430) yields:
% 14.15/3.73 | (431) all_0_103_103 = e22
% 14.15/3.73 | (432) all_0_104_104 = e20
% 14.15/3.73 | (433) all_0_137_137 = e23
% 14.15/3.73 | (434) all_0_141_141 = e21
% 14.15/3.73 |
% 14.15/3.73 | Equations (433) can reduce 408 to:
% 14.15/3.73 | (422) $false
% 14.15/3.73 |
% 14.15/3.73 |-The branch is then unsatisfiable
% 14.15/3.73 |-Branch two:
% 14.15/3.73 | (436) all_0_105_105 = e23 & all_0_106_106 = e22 & all_0_107_107 = e21 & all_0_108_108 = e20
% 14.15/3.73 |
% 14.15/3.73 | Applying alpha-rule on (436) yields:
% 14.15/3.73 | (437) all_0_105_105 = e23
% 14.15/3.74 | (438) all_0_106_106 = e22
% 14.15/3.74 | (439) all_0_107_107 = e21
% 14.15/3.74 | (440) all_0_108_108 = e20
% 14.15/3.74 |
% 14.15/3.74 | Combining equations (475,437) yields a new equation:
% 14.15/3.74 | (448) all_0_141_141 = e23
% 14.15/3.74 |
% 14.15/3.74 | Simplifying 448 yields:
% 14.15/3.74 | (449) all_0_141_141 = e23
% 14.15/3.74 |
% 14.15/3.74 | Equations (449) can reduce 410 to:
% 14.15/3.74 | (422) $false
% 14.15/3.74 |
% 14.15/3.74 |-The branch is then unsatisfiable
% 14.15/3.74 |-Branch two:
% 14.15/3.74 | (443) all_0_109_109 = e23 & all_0_110_110 = e22 & all_0_111_111 = e21 & all_0_112_112 = e20
% 14.15/3.74 |
% 14.15/3.74 | Applying alpha-rule on (443) yields:
% 14.15/3.74 | (444) all_0_109_109 = e23
% 14.15/3.74 | (445) all_0_110_110 = e22
% 14.15/3.74 | (446) all_0_111_111 = e21
% 14.15/3.74 | (447) all_0_112_112 = e20
% 14.15/3.74 |
% 14.15/3.74 | Combining equations (474,444) yields a new equation:
% 14.15/3.74 | (441) e23 = e21
% 14.15/3.74 |
% 14.15/3.74 | Equations (441) can reduce 264 to:
% 14.15/3.74 | (422) $false
% 14.15/3.74 |
% 14.15/3.74 |-The branch is then unsatisfiable
% 14.15/3.74 |-Branch two:
% 14.15/3.74 | (451) all_0_113_113 = e22 & all_0_114_114 = e21 & all_0_115_115 = e20 & all_0_132_132 = e23
% 14.15/3.74 |
% 14.15/3.74 | Applying alpha-rule on (451) yields:
% 14.15/3.74 | (452) all_0_113_113 = e22
% 14.15/3.74 | (413) all_0_114_114 = e21
% 14.15/3.74 | (454) all_0_115_115 = e20
% 14.15/3.74 | (455) all_0_132_132 = e23
% 14.15/3.74 |
% 14.15/3.74 | Equations (455) can reduce 140 to:
% 14.15/3.74 | (505) ~ (all_0_129_129 = e23)
% 14.15/3.74 |
% 14.15/3.74 | Equations (455) can reduce 126 to:
% 14.15/3.74 | (506) ~ (all_0_133_133 = e23)
% 14.15/3.74 |
% 14.15/3.74 | Simplifying 506 yields:
% 14.15/3.74 | (507) ~ (all_0_133_133 = e23)
% 14.15/3.74 |
% 14.15/3.74 | Equations (455) can reduce 306 to:
% 14.15/3.74 | (508) ~ (all_0_139_139 = e23)
% 14.15/3.74 |
% 14.15/3.74 | Simplifying 508 yields:
% 14.15/3.74 | (509) ~ (all_0_139_139 = e23)
% 14.15/3.74 |
% 14.15/3.74 | From (452) and (252) follows:
% 14.15/3.74 | (510) op2(all_0_139_139, all_0_139_139) = e22
% 14.15/3.74 |
% 14.15/3.74 | From (454) and (103) follows:
% 14.15/3.74 | (511) op2(all_0_141_141, all_0_141_141) = e20
% 14.15/3.74 |
% 14.15/3.74 | From (455) and (226) follows:
% 14.15/3.74 | (512) op2(e22, e23) = all_0_98_98
% 14.15/3.74 |
% 14.15/3.74 +-Applying beta-rule and splitting (314), into two cases.
% 14.15/3.74 |-Branch one:
% 14.15/3.74 | (513) all_0_129_129 = e23
% 14.15/3.74 |
% 14.15/3.74 | Equations (513) can reduce 505 to:
% 14.15/3.74 | (422) $false
% 14.15/3.74 |
% 14.15/3.74 |-The branch is then unsatisfiable
% 14.15/3.74 |-Branch two:
% 14.15/3.74 | (505) ~ (all_0_129_129 = e23)
% 14.15/3.74 | (516) all_0_130_130 = e23
% 14.15/3.74 |
% 14.15/3.74 | Equations (516) can reduce 7 to:
% 14.15/3.74 | (505) ~ (all_0_129_129 = e23)
% 14.15/3.74 |
% 14.15/3.74 | Equations (516) can reduce 158 to:
% 14.15/3.74 | (518) ~ (all_0_134_134 = e23)
% 14.15/3.74 |
% 14.15/3.74 | Simplifying 518 yields:
% 14.15/3.74 | (519) ~ (all_0_134_134 = e23)
% 14.15/3.74 |
% 14.15/3.74 | Equations (516) can reduce 110 to:
% 14.15/3.74 | (520) ~ (all_0_138_138 = e23)
% 14.15/3.74 |
% 14.15/3.74 | Simplifying 520 yields:
% 14.15/3.74 | (521) ~ (all_0_138_138 = e23)
% 14.15/3.74 |
% 14.15/3.74 | Equations (516) can reduce 322 to:
% 14.15/3.74 | (409) ~ (all_0_141_141 = e23)
% 14.15/3.74 |
% 14.15/3.74 | Simplifying 409 yields:
% 14.15/3.74 | (410) ~ (all_0_141_141 = e23)
% 14.15/3.74 |
% 14.15/3.74 | Equations (516) can reduce 275 to:
% 14.15/3.74 | (264) ~ (e23 = e21)
% 14.15/3.74 |
% 14.15/3.74 +-Applying beta-rule and splitting (119), into two cases.
% 14.15/3.74 |-Branch one:
% 14.15/3.74 | (513) all_0_129_129 = e23
% 14.15/3.74 |
% 14.15/3.74 | Equations (513) can reduce 505 to:
% 14.15/3.74 | (422) $false
% 14.15/3.74 |
% 14.15/3.74 |-The branch is then unsatisfiable
% 14.15/3.74 |-Branch two:
% 14.15/3.74 | (505) ~ (all_0_129_129 = e23)
% 14.15/3.74 | (528) all_0_129_129 = e22
% 14.15/3.74 |
% 14.15/3.74 | Equations (528) can reduce 117 to:
% 14.15/3.74 | (529) ~ (all_0_139_139 = e22)
% 14.15/3.74 |
% 14.15/3.74 | Simplifying 529 yields:
% 14.15/3.74 | (48) ~ (all_0_139_139 = e22)
% 14.15/3.74 |
% 14.15/3.74 | Equations (528) can reduce 40 to:
% 14.15/3.74 | (219) ~ (e22 = e21)
% 14.15/3.74 |
% 14.15/3.74 | Instantiating formula (328) with e22, e23, all_0_98_98, e20 and discharging atoms op2(e22, e23) = all_0_98_98, op2(e22, e23) = e20, yields:
% 14.15/3.74 | (532) all_0_98_98 = e20
% 14.15/3.74 |
% 14.15/3.74 | From (532) and (355) follows:
% 14.15/3.74 | (533) op2(all_0_97_97, e20) = all_0_24_24
% 14.15/3.74 |
% 14.15/3.74 | From (532) and (135) follows:
% 14.15/3.74 | (534) op2(e20, all_0_97_97) = all_0_35_35
% 14.15/3.74 |
% 14.15/3.74 | From (532)(532) and (199) follows:
% 14.15/3.74 | (535) op2(e20, e20) = all_0_39_39
% 14.15/3.74 |
% 14.15/3.74 | From (532) and (153) follows:
% 14.15/3.74 | (536) op2(e20, e22) = all_0_97_97
% 14.15/3.74 |
% 14.15/3.74 | Instantiating formula (328) with e20, e22, all_0_97_97, all_0_139_139 and discharging atoms op2(e20, e22) = all_0_97_97, op2(e20, e22) = all_0_139_139, yields:
% 14.15/3.74 | (537) all_0_97_97 = all_0_139_139
% 14.15/3.74 |
% 14.15/3.74 | Instantiating formula (328) with e20, e20, all_0_39_39, all_0_141_141 and discharging atoms op2(e20, e20) = all_0_39_39, op2(e20, e20) = all_0_141_141, yields:
% 14.15/3.74 | (538) all_0_39_39 = all_0_141_141
% 14.15/3.74 |
% 14.15/3.74 | From (537)(537) and (303) follows:
% 14.15/3.74 | (539) op2(all_0_139_139, all_0_139_139) = all_0_20_20
% 14.15/3.74 |
% 14.15/3.74 | From (537) and (533) follows:
% 14.15/3.74 | (540) op2(all_0_139_139, e20) = all_0_24_24
% 14.15/3.74 |
% 14.15/3.74 | From (537) and (534) follows:
% 14.15/3.74 | (541) op2(e20, all_0_139_139) = all_0_35_35
% 14.15/3.74 |
% 14.15/3.74 | From (538) and (535) follows:
% 14.15/3.74 | (28) op2(e20, e20) = all_0_141_141
% 14.15/3.74 |
% 14.15/3.74 | Instantiating formula (328) with all_0_139_139, all_0_139_139, all_0_20_20, e22 and discharging atoms op2(all_0_139_139, all_0_139_139) = all_0_20_20, op2(all_0_139_139, all_0_139_139) = e22, yields:
% 14.15/3.74 | (543) all_0_20_20 = e22
% 14.15/3.74 |
% 14.15/3.74 | From (543) and (539) follows:
% 14.15/3.74 | (510) op2(all_0_139_139, all_0_139_139) = e22
% 14.15/3.74 |
% 14.15/3.74 +-Applying beta-rule and splitting (348), into two cases.
% 14.15/3.74 |-Branch one:
% 14.15/3.74 | (545) all_0_153_153 = e13
% 14.15/3.74 |
% 14.15/3.74 | Equations (545) can reduce 254 to:
% 14.15/3.74 | (546) ~ (all_0_150_150 = e13)
% 14.15/3.74 |
% 14.15/3.74 | Equations (545) can reduce 60 to:
% 14.15/3.74 | (547) ~ (all_0_154_154 = e13)
% 14.15/3.74 |
% 14.15/3.74 | Simplifying 547 yields:
% 14.15/3.74 | (548) ~ (all_0_154_154 = e13)
% 14.15/3.74 |
% 14.15/3.74 | From (545)(545) and (208) follows:
% 14.15/3.74 | (549) op1(e13, e13) = all_0_127_127
% 14.15/3.75 |
% 14.15/3.75 | From (545) and (253) follows:
% 14.15/3.75 | (550) h4(e13) = all_0_11_11
% 14.15/3.75 |
% 14.15/3.75 | Instantiating formula (296) with e13, e13, all_0_127_127, e11 and discharging atoms op1(e13, e13) = all_0_127_127, op1(e13, e13) = e11, yields:
% 14.15/3.75 | (551) all_0_127_127 = e11
% 14.15/3.75 |
% 14.15/3.75 | Instantiating formula (62) with e13, all_0_11_11, e23 and discharging atoms h4(e13) = all_0_11_11, h4(e13) = e23, yields:
% 14.15/3.75 | (552) all_0_11_11 = e23
% 14.15/3.75 |
% 14.15/3.75 | From (551) and (549) follows:
% 14.15/3.75 | (248) op1(e13, e13) = e11
% 14.15/3.75 |
% 14.15/3.75 | From (552) and (550) follows:
% 14.15/3.75 | (95) h4(e13) = e23
% 14.15/3.75 |
% 14.15/3.75 +-Applying beta-rule and splitting (217), into two cases.
% 14.15/3.75 |-Branch one:
% 14.15/3.75 | (555) all_0_144_144 = e13
% 14.15/3.75 |
% 14.15/3.75 | Equations (555) can reduce 169 to:
% 14.15/3.75 | (556) ~ (all_0_145_145 = e13)
% 14.15/3.75 |
% 14.15/3.75 | Simplifying 556 yields:
% 14.15/3.75 | (557) ~ (all_0_145_145 = e13)
% 14.15/3.75 |
% 14.15/3.75 | Equations (555) can reduce 122 to:
% 14.15/3.75 | (558) ~ (all_0_148_148 = e13)
% 14.15/3.75 |
% 14.15/3.75 | Simplifying 558 yields:
% 14.15/3.75 | (559) ~ (all_0_148_148 = e13)
% 14.15/3.75 |
% 14.15/3.75 | Equations (555) can reduce 29 to:
% 14.15/3.75 | (358) ~ (e13 = e11)
% 14.15/3.75 |
% 14.15/3.75 | From (555)(555) and (301) follows:
% 14.15/3.75 | (561) op1(e13, e13) = all_0_118_118
% 14.15/3.75 |
% 14.15/3.75 +-Applying beta-rule and splitting (194), into two cases.
% 14.15/3.75 |-Branch one:
% 14.15/3.75 | (562) all_0_148_148 = e13
% 14.15/3.75 |
% 14.15/3.75 | Equations (562) can reduce 559 to:
% 14.15/3.75 | (422) $false
% 14.15/3.75 |
% 14.15/3.75 |-The branch is then unsatisfiable
% 14.15/3.75 |-Branch two:
% 14.15/3.75 | (559) ~ (all_0_148_148 = e13)
% 14.15/3.75 | (565) all_0_148_148 = e10
% 14.15/3.75 |
% 14.15/3.75 | From (565)(565) and (324) follows:
% 14.15/3.75 | (566) op1(e10, e10) = all_0_122_122
% 14.15/3.75 |
% 14.15/3.75 | Instantiating formula (296) with e13, e13, all_0_118_118, e11 and discharging atoms op1(e13, e13) = all_0_118_118, op1(e13, e13) = e11, yields:
% 14.15/3.75 | (567) all_0_118_118 = e11
% 14.15/3.75 |
% 14.15/3.75 | Instantiating formula (296) 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:
% 14.15/3.75 | (568) all_0_122_122 = all_0_154_154
% 14.15/3.75 |
% 14.15/3.75 +-Applying beta-rule and splitting (293), into two cases.
% 14.15/3.75 |-Branch one:
% 14.15/3.75 | (569) (all_0_116_116 = e12 & all_0_117_117 = e10 & all_0_150_150 = e13 & all_0_154_154 = e11) | (all_0_118_118 = e13 & all_0_119_119 = e12 & all_0_120_120 = e11 & all_0_121_121 = e10) | (all_0_122_122 = e13 & all_0_123_123 = e12 & all_0_124_124 = e11 & all_0_125_125 = e10)
% 14.15/3.75 |
% 14.15/3.75 +-Applying beta-rule and splitting (569), into two cases.
% 14.15/3.75 |-Branch one:
% 14.15/3.75 | (570) (all_0_116_116 = e12 & all_0_117_117 = e10 & all_0_150_150 = e13 & all_0_154_154 = e11) | (all_0_118_118 = e13 & all_0_119_119 = e12 & all_0_120_120 = e11 & all_0_121_121 = e10)
% 14.15/3.75 |
% 14.15/3.75 +-Applying beta-rule and splitting (570), into two cases.
% 14.15/3.75 |-Branch one:
% 14.15/3.75 | (571) all_0_116_116 = e12 & all_0_117_117 = e10 & all_0_150_150 = e13 & all_0_154_154 = e11
% 14.15/3.75 |
% 14.15/3.75 | Applying alpha-rule on (571) yields:
% 14.15/3.75 | (572) all_0_116_116 = e12
% 14.15/3.75 | (573) all_0_117_117 = e10
% 14.15/3.75 | (574) all_0_150_150 = e13
% 14.15/3.75 | (575) all_0_154_154 = e11
% 14.15/3.75 |
% 14.15/3.75 | Equations (574) can reduce 546 to:
% 14.15/3.75 | (422) $false
% 14.15/3.75 |
% 14.15/3.75 |-The branch is then unsatisfiable
% 14.15/3.75 |-Branch two:
% 14.15/3.75 | (577) all_0_118_118 = e13 & all_0_119_119 = e12 & all_0_120_120 = e11 & all_0_121_121 = e10
% 14.15/3.75 |
% 14.15/3.75 | Applying alpha-rule on (577) yields:
% 14.15/3.75 | (578) all_0_118_118 = e13
% 14.15/3.75 | (579) all_0_119_119 = e12
% 14.15/3.75 | (580) all_0_120_120 = e11
% 14.15/3.75 | (581) all_0_121_121 = e10
% 14.15/3.75 |
% 14.15/3.75 | Combining equations (567,578) yields a new equation:
% 14.15/3.75 | (582) e13 = e11
% 14.15/3.75 |
% 14.15/3.75 | Equations (582) can reduce 358 to:
% 14.15/3.75 | (422) $false
% 14.15/3.75 |
% 14.15/3.75 |-The branch is then unsatisfiable
% 14.15/3.75 |-Branch two:
% 14.15/3.75 | (584) all_0_122_122 = e13 & all_0_123_123 = e12 & all_0_124_124 = e11 & all_0_125_125 = e10
% 14.15/3.75 |
% 14.15/3.75 | Applying alpha-rule on (584) yields:
% 14.15/3.75 | (585) all_0_122_122 = e13
% 14.15/3.75 | (586) all_0_123_123 = e12
% 14.15/3.75 | (587) all_0_124_124 = e11
% 14.15/3.75 | (588) all_0_125_125 = e10
% 14.15/3.75 |
% 14.15/3.75 | Combining equations (568,585) yields a new equation:
% 14.15/3.75 | (589) all_0_154_154 = e13
% 14.15/3.75 |
% 14.15/3.75 | Simplifying 589 yields:
% 14.15/3.75 | (590) all_0_154_154 = e13
% 14.15/3.75 |
% 14.15/3.75 | Equations (590) can reduce 548 to:
% 14.15/3.75 | (422) $false
% 14.15/3.75 |
% 14.15/3.75 |-The branch is then unsatisfiable
% 14.15/3.75 |-Branch two:
% 14.15/3.75 | (592) all_0_126_126 = e12 & all_0_127_127 = e11 & all_0_128_128 = e10 & all_0_145_145 = e13
% 14.15/3.75 |
% 14.15/3.75 | Applying alpha-rule on (592) yields:
% 14.15/3.75 | (593) all_0_126_126 = e12
% 14.15/3.75 | (551) all_0_127_127 = e11
% 14.15/3.75 | (595) all_0_128_128 = e10
% 14.15/3.75 | (596) all_0_145_145 = e13
% 14.15/3.75 |
% 14.15/3.75 | Equations (596) can reduce 557 to:
% 14.15/3.75 | (422) $false
% 14.15/3.75 |
% 14.15/3.75 |-The branch is then unsatisfiable
% 14.15/3.75 |-Branch two:
% 14.15/3.75 | (598) ~ (all_0_144_144 = e13)
% 14.15/3.75 | (562) all_0_148_148 = e13
% 14.15/3.75 |
% 14.15/3.75 | Equations (562) can reduce 122 to:
% 14.15/3.75 | (598) ~ (all_0_144_144 = e13)
% 14.15/3.75 |
% 14.15/3.75 | Equations (562) can reduce 52 to:
% 14.15/3.75 | (601) ~ (all_0_150_150 = e13)
% 14.15/3.75 |
% 14.15/3.75 | Simplifying 601 yields:
% 14.15/3.75 | (546) ~ (all_0_150_150 = e13)
% 14.15/3.75 |
% 14.15/3.75 | Equations (562) can reduce 50 to:
% 14.15/3.75 | (358) ~ (e13 = e11)
% 14.15/3.75 |
% 14.15/3.75 | From (562)(562) and (324) follows:
% 14.15/3.76 | (604) op1(e13, e13) = all_0_122_122
% 14.15/3.76 |
% 14.15/3.76 | From (562) and (239) follows:
% 14.15/3.76 | (605) h4(e13) = all_0_6_6
% 14.15/3.76 |
% 14.15/3.76 +-Applying beta-rule and splitting (46), into two cases.
% 14.15/3.76 |-Branch one:
% 14.15/3.76 | (555) all_0_144_144 = e13
% 14.15/3.76 |
% 14.15/3.76 | Equations (555) can reduce 598 to:
% 14.15/3.76 | (422) $false
% 14.15/3.76 |
% 14.15/3.76 |-The branch is then unsatisfiable
% 14.15/3.76 |-Branch two:
% 14.15/3.76 | (598) ~ (all_0_144_144 = e13)
% 14.15/3.76 | (609) all_0_144_144 = e10
% 14.15/3.76 |
% 14.15/3.76 | Equations (609) can reduce 245 to:
% 14.15/3.76 | (610) ~ (all_0_146_146 = e10)
% 14.15/3.76 |
% 14.15/3.76 | Simplifying 610 yields:
% 14.15/3.76 | (53) ~ (all_0_146_146 = e10)
% 14.15/3.76 |
% 14.15/3.76 | Equations (609) can reduce 9 to:
% 14.15/3.76 | (612) ~ (all_0_147_147 = e10)
% 14.15/3.76 |
% 14.15/3.76 | Simplifying 612 yields:
% 14.15/3.76 | (613) ~ (all_0_147_147 = e10)
% 14.15/3.76 |
% 14.15/3.76 | From (609)(609) and (301) follows:
% 14.15/3.76 | (614) op1(e10, e10) = all_0_118_118
% 14.15/3.76 |
% 14.15/3.76 | From (609) and (38) follows:
% 14.15/3.76 | (615) h4(e10) = all_0_2_2
% 14.15/3.76 |
% 14.15/3.76 | Instantiating formula (296) with e13, e13, all_0_122_122, e11 and discharging atoms op1(e13, e13) = all_0_122_122, op1(e13, e13) = e11, yields:
% 14.15/3.76 | (616) all_0_122_122 = e11
% 14.15/3.76 |
% 14.15/3.76 | Instantiating formula (296) 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:
% 14.15/3.76 | (617) all_0_118_118 = all_0_154_154
% 14.15/3.76 |
% 14.15/3.76 | Instantiating formula (62) with e13, all_0_6_6, e23 and discharging atoms h4(e13) = all_0_6_6, h4(e13) = e23, yields:
% 14.15/3.76 | (618) all_0_6_6 = e23
% 14.15/3.76 |
% 14.15/3.76 | Instantiating formula (62) with e10, all_0_2_2, e20 and discharging atoms h4(e10) = all_0_2_2, h4(e10) = e20, yields:
% 14.15/3.76 | (619) all_0_2_2 = e20
% 14.15/3.76 |
% 14.15/3.76 | From (617) and (614) follows:
% 14.15/3.76 | (111) op1(e10, e10) = all_0_154_154
% 14.15/3.76 |
% 14.15/3.76 | From (618) and (605) follows:
% 14.15/3.76 | (95) h4(e13) = e23
% 14.15/3.76 |
% 14.15/3.76 | From (619) and (615) follows:
% 14.15/3.76 | (181) h4(e10) = e20
% 14.15/3.76 |
% 14.15/3.76 +-Applying beta-rule and splitting (293), into two cases.
% 14.15/3.76 |-Branch one:
% 14.15/3.76 | (569) (all_0_116_116 = e12 & all_0_117_117 = e10 & all_0_150_150 = e13 & all_0_154_154 = e11) | (all_0_118_118 = e13 & all_0_119_119 = e12 & all_0_120_120 = e11 & all_0_121_121 = e10) | (all_0_122_122 = e13 & all_0_123_123 = e12 & all_0_124_124 = e11 & all_0_125_125 = e10)
% 14.15/3.76 |
% 14.15/3.76 +-Applying beta-rule and splitting (569), into two cases.
% 14.15/3.76 |-Branch one:
% 14.15/3.76 | (570) (all_0_116_116 = e12 & all_0_117_117 = e10 & all_0_150_150 = e13 & all_0_154_154 = e11) | (all_0_118_118 = e13 & all_0_119_119 = e12 & all_0_120_120 = e11 & all_0_121_121 = e10)
% 14.15/3.76 |
% 14.15/3.76 +-Applying beta-rule and splitting (570), into two cases.
% 14.15/3.76 |-Branch one:
% 14.15/3.76 | (571) all_0_116_116 = e12 & all_0_117_117 = e10 & all_0_150_150 = e13 & all_0_154_154 = e11
% 14.15/3.76 |
% 14.15/3.76 | Applying alpha-rule on (571) yields:
% 14.15/3.76 | (572) all_0_116_116 = e12
% 14.15/3.76 | (573) all_0_117_117 = e10
% 14.15/3.76 | (574) all_0_150_150 = e13
% 14.15/3.76 | (575) all_0_154_154 = e11
% 14.15/3.76 |
% 14.15/3.76 | Equations (574) can reduce 546 to:
% 14.15/3.76 | (422) $false
% 14.15/3.76 |
% 14.15/3.76 |-The branch is then unsatisfiable
% 14.15/3.76 |-Branch two:
% 14.15/3.76 | (577) all_0_118_118 = e13 & all_0_119_119 = e12 & all_0_120_120 = e11 & all_0_121_121 = e10
% 14.15/3.76 |
% 14.15/3.76 | Applying alpha-rule on (577) yields:
% 14.15/3.76 | (578) all_0_118_118 = e13
% 14.15/3.76 | (579) all_0_119_119 = e12
% 14.15/3.76 | (580) all_0_120_120 = e11
% 14.15/3.76 | (581) all_0_121_121 = e10
% 14.15/3.76 |
% 14.15/3.76 | Combining equations (617,578) yields a new equation:
% 14.15/3.76 | (589) all_0_154_154 = e13
% 14.15/3.76 |
% 14.15/3.76 | Simplifying 589 yields:
% 14.15/3.76 | (590) all_0_154_154 = e13
% 14.15/3.76 |
% 14.15/3.76 | Equations (590) can reduce 548 to:
% 14.15/3.76 | (422) $false
% 14.15/3.76 |
% 14.15/3.76 |-The branch is then unsatisfiable
% 14.15/3.76 |-Branch two:
% 14.15/3.76 | (584) all_0_122_122 = e13 & all_0_123_123 = e12 & all_0_124_124 = e11 & all_0_125_125 = e10
% 14.15/3.76 |
% 14.15/3.76 | Applying alpha-rule on (584) yields:
% 14.15/3.76 | (585) all_0_122_122 = e13
% 14.15/3.76 | (586) all_0_123_123 = e12
% 14.15/3.76 | (587) all_0_124_124 = e11
% 14.15/3.76 | (588) all_0_125_125 = e10
% 14.15/3.76 |
% 14.15/3.76 | Combining equations (616,585) yields a new equation:
% 14.15/3.76 | (582) e13 = e11
% 14.15/3.76 |
% 14.15/3.76 | Equations (582) can reduce 358 to:
% 14.15/3.76 | (422) $false
% 14.15/3.76 |
% 14.15/3.76 |-The branch is then unsatisfiable
% 14.15/3.76 |-Branch two:
% 14.15/3.76 | (592) all_0_126_126 = e12 & all_0_127_127 = e11 & all_0_128_128 = e10 & all_0_145_145 = e13
% 14.15/3.76 |
% 14.15/3.76 | Applying alpha-rule on (592) yields:
% 14.15/3.76 | (593) all_0_126_126 = e12
% 14.15/3.76 | (551) all_0_127_127 = e11
% 14.15/3.76 | (595) all_0_128_128 = e10
% 14.15/3.76 | (596) all_0_145_145 = e13
% 14.15/3.76 |
% 14.15/3.76 | Equations (596) can reduce 326 to:
% 14.15/3.76 | (651) ~ (all_0_142_142 = e13)
% 14.15/3.76 |
% 14.15/3.76 | Equations (596) can reduce 86 to:
% 14.15/3.76 | (652) ~ (all_0_146_146 = e13)
% 14.15/3.76 |
% 14.15/3.76 | Simplifying 652 yields:
% 14.15/3.76 | (653) ~ (all_0_146_146 = e13)
% 14.15/3.76 |
% 14.15/3.76 | Equations (596) can reduce 363 to:
% 14.15/3.76 | (654) ~ (all_0_152_152 = e13)
% 14.15/3.76 |
% 14.15/3.76 | Simplifying 654 yields:
% 14.15/3.76 | (655) ~ (all_0_152_152 = e13)
% 14.15/3.76 |
% 14.15/3.76 | From (593) and (100) follows:
% 14.15/3.76 | (656) op1(all_0_152_152, all_0_152_152) = e12
% 14.15/3.76 |
% 14.15/3.76 | From (595) and (37) follows:
% 14.15/3.76 | (657) op1(all_0_154_154, all_0_154_154) = e10
% 14.15/3.76 |
% 14.15/3.76 | From (596) and (123) follows:
% 14.15/3.76 | (658) h4(e13) = all_0_3_3
% 14.15/3.76 |
% 14.15/3.76 +-Applying beta-rule and splitting (224), into two cases.
% 14.15/3.76 |-Branch one:
% 14.15/3.76 | (659) all_0_142_142 = e13
% 14.15/3.76 |
% 14.15/3.76 | Equations (659) can reduce 651 to:
% 14.15/3.76 | (422) $false
% 14.15/3.76 |
% 14.15/3.76 |-The branch is then unsatisfiable
% 14.15/3.76 |-Branch two:
% 14.15/3.76 | (651) ~ (all_0_142_142 = e13)
% 14.15/3.76 | (662) all_0_142_142 = e12
% 14.15/3.76 |
% 14.15/3.76 | Equations (662) can reduce 84 to:
% 14.15/3.76 | (663) ~ (all_0_143_143 = e12)
% 14.15/3.77 |
% 14.15/3.77 | Simplifying 663 yields:
% 14.15/3.77 | (664) ~ (all_0_143_143 = e12)
% 14.15/3.77 |
% 14.15/3.77 | Equations (662) can reduce 160 to:
% 14.15/3.77 | (665) ~ (all_0_152_152 = e12)
% 14.15/3.77 |
% 14.15/3.77 | Simplifying 665 yields:
% 14.15/3.77 | (66) ~ (all_0_152_152 = e12)
% 14.15/3.77 |
% 14.15/3.77 | From (662) and (146) follows:
% 14.15/3.77 | (667) h4(e12) = all_0_0_0
% 14.15/3.77 |
% 14.15/3.77 +-Applying beta-rule and splitting (374), into two cases.
% 14.15/3.77 |-Branch one:
% 14.15/3.77 | (668) all_0_143_143 = e13
% 14.15/3.77 |
% 14.15/3.77 | Equations (668) can reduce 118 to:
% 14.15/3.77 | (669) ~ (all_0_147_147 = e13)
% 14.15/3.77 |
% 14.15/3.77 | Simplifying 669 yields:
% 14.15/3.77 | (670) ~ (all_0_147_147 = e13)
% 14.15/3.77 |
% 14.15/3.77 | Equations (668) can reduce 4 to:
% 14.15/3.77 | (547) ~ (all_0_154_154 = e13)
% 14.15/3.77 |
% 14.15/3.77 | Simplifying 547 yields:
% 14.15/3.77 | (548) ~ (all_0_154_154 = e13)
% 14.15/3.77 |
% 14.15/3.77 | Equations (668) can reduce 192 to:
% 14.15/3.77 | (176) ~ (e13 = e10)
% 14.15/3.77 |
% 14.15/3.77 | From (668) and (234) follows:
% 14.15/3.77 | (674) h4(e13) = all_0_1_1
% 14.15/3.77 |
% 14.15/3.77 | Instantiating formula (62) with e13, all_0_1_1, e23 and discharging atoms h4(e13) = all_0_1_1, h4(e13) = e23, yields:
% 14.15/3.77 | (675) all_0_1_1 = e23
% 14.15/3.77 |
% 14.15/3.77 | Instantiating formula (62) with e13, all_0_3_3, all_0_1_1 and discharging atoms h4(e13) = all_0_1_1, h4(e13) = all_0_3_3, yields:
% 14.15/3.77 | (676) all_0_1_1 = all_0_3_3
% 14.15/3.77 |
% 14.15/3.77 | Instantiating formula (62) with e12, all_0_0_0, e22 and discharging atoms h4(e12) = all_0_0_0, h4(e12) = e22, yields:
% 14.15/3.77 | (677) all_0_0_0 = e22
% 14.15/3.77 |
% 14.15/3.77 | Combining equations (676,675) yields a new equation:
% 14.15/3.77 | (678) all_0_3_3 = e23
% 14.15/3.77 |
% 14.15/3.77 | Simplifying 678 yields:
% 14.15/3.77 | (679) all_0_3_3 = e23
% 14.15/3.77 |
% 14.15/3.77 | From (677) and (667) follows:
% 14.15/3.77 | (36) h4(e12) = e22
% 14.15/3.77 |
% 14.15/3.77 +-Applying beta-rule and splitting (243), into two cases.
% 14.15/3.77 |-Branch one:
% 14.15/3.77 | (681) all_0_133_133 = e22
% 14.15/3.77 |
% 14.15/3.77 | Equations (681) can reduce 214 to:
% 14.15/3.77 | (682) ~ (all_0_137_137 = e22)
% 14.15/3.77 |
% 14.15/3.77 | Simplifying 682 yields:
% 14.15/3.77 | (683) ~ (all_0_137_137 = e22)
% 14.15/3.77 |
% 14.15/3.77 +-Applying beta-rule and splitting (211), into two cases.
% 14.15/3.77 |-Branch one:
% 14.15/3.77 | (684) all_0_132_132 = e21
% 14.15/3.77 |
% 14.15/3.77 | Combining equations (455,684) yields a new equation:
% 14.15/3.77 | (685) e23 = e21
% 14.15/3.77 |
% 14.15/3.77 | Simplifying 685 yields:
% 14.15/3.77 | (441) e23 = e21
% 14.15/3.77 |
% 14.15/3.77 | Equations (441) can reduce 264 to:
% 14.15/3.77 | (422) $false
% 14.15/3.77 |
% 14.15/3.77 |-The branch is then unsatisfiable
% 14.15/3.77 |-Branch two:
% 14.15/3.77 | (688) ~ (all_0_132_132 = e21)
% 14.15/3.77 | (689) all_0_133_133 = e21 | all_0_134_134 = e21
% 14.15/3.77 |
% 14.15/3.77 +-Applying beta-rule and splitting (689), into two cases.
% 14.15/3.77 |-Branch one:
% 14.15/3.77 | (690) all_0_133_133 = e21
% 14.15/3.77 |
% 14.15/3.77 | Combining equations (681,690) yields a new equation:
% 14.15/3.77 | (691) e22 = e21
% 14.15/3.77 |
% 14.15/3.77 | Simplifying 691 yields:
% 14.15/3.77 | (692) e22 = e21
% 14.15/3.77 |
% 14.15/3.77 | Equations (692) can reduce 219 to:
% 14.15/3.77 | (422) $false
% 14.15/3.77 |
% 14.15/3.77 |-The branch is then unsatisfiable
% 14.15/3.77 |-Branch two:
% 14.15/3.77 | (694) ~ (all_0_133_133 = e21)
% 14.15/3.77 | (695) all_0_134_134 = e21
% 14.15/3.77 |
% 14.15/3.77 | Equations (695) can reduce 320 to:
% 14.15/3.77 | (696) ~ (all_0_141_141 = e21)
% 14.15/3.77 |
% 14.15/3.77 | Simplifying 696 yields:
% 14.15/3.77 | (697) ~ (all_0_141_141 = e21)
% 14.15/3.77 |
% 14.15/3.77 +-Applying beta-rule and splitting (377), into two cases.
% 14.15/3.77 |-Branch one:
% 14.15/3.77 | (433) all_0_137_137 = e23
% 14.15/3.77 |
% 14.15/3.77 | Equations (433) can reduce 408 to:
% 14.15/3.77 | (422) $false
% 14.15/3.77 |
% 14.15/3.77 |-The branch is then unsatisfiable
% 14.15/3.77 |-Branch two:
% 14.15/3.77 | (408) ~ (all_0_137_137 = e23)
% 14.15/3.77 | (701) all_0_137_137 = e22 | all_0_137_137 = e21
% 14.15/3.77 |
% 14.15/3.77 +-Applying beta-rule and splitting (701), into two cases.
% 14.15/3.77 |-Branch one:
% 14.15/3.77 | (702) all_0_137_137 = e21
% 14.15/3.77 |
% 14.15/3.77 | Equations (702) can reduce 408 to:
% 14.15/3.77 | (703) ~ (e23 = e21)
% 14.15/3.77 |
% 14.15/3.77 | Simplifying 703 yields:
% 14.15/3.77 | (264) ~ (e23 = e21)
% 14.15/3.77 |
% 14.15/3.77 | From (702)(702) and (143) follows:
% 14.15/3.77 | (705) op2(e21, e21) = all_0_111_111
% 14.15/3.77 |
% 14.15/3.77 | From (702) and (47) follows:
% 14.15/3.77 | (706) op2(e21, e21) = all_0_54_54
% 14.15/3.77 |
% 14.15/3.77 | From (702) and (292) follows:
% 14.15/3.77 | (707) op2(e21, e21) = all_0_100_100
% 14.15/3.77 |
% 14.15/3.77 | From (702) and (281) follows:
% 14.15/3.77 | (708) op2(e21, e21) = e21
% 14.15/3.77 |
% 14.15/3.77 +-Applying beta-rule and splitting (191), into two cases.
% 14.15/3.77 |-Branch one:
% 14.15/3.77 | (709) all_0_139_139 = e21
% 14.15/3.77 |
% 14.15/3.77 | Equations (709) can reduce 48 to:
% 14.15/3.77 | (710) ~ (e22 = e21)
% 14.15/3.77 |
% 14.15/3.77 | Simplifying 710 yields:
% 14.15/3.77 | (219) ~ (e22 = e21)
% 14.15/3.77 |
% 14.15/3.77 | From (709)(709) and (510) follows:
% 14.15/3.77 | (712) op2(e21, e21) = e22
% 14.15/3.77 |
% 14.15/3.77 | Instantiating formula (328) with e21, e21, all_0_111_111, all_0_54_54 and discharging atoms op2(e21, e21) = all_0_54_54, op2(e21, e21) = all_0_111_111, yields:
% 14.15/3.77 | (713) all_0_54_54 = all_0_111_111
% 14.15/3.77 |
% 14.15/3.77 | Instantiating formula (328) with e21, e21, all_0_111_111, all_0_100_100 and discharging atoms op2(e21, e21) = all_0_100_100, op2(e21, e21) = all_0_111_111, yields:
% 14.15/3.77 | (714) all_0_100_100 = all_0_111_111
% 14.15/3.77 |
% 14.15/3.77 | Instantiating formula (328) with e21, e21, e22, all_0_100_100 and discharging atoms op2(e21, e21) = all_0_100_100, op2(e21, e21) = e22, yields:
% 14.15/3.77 | (715) all_0_100_100 = e22
% 14.15/3.77 |
% 14.15/3.77 | Instantiating formula (328) with e21, e21, e21, all_0_54_54 and discharging atoms op2(e21, e21) = all_0_54_54, op2(e21, e21) = e21, yields:
% 14.15/3.77 | (716) all_0_54_54 = e21
% 14.15/3.77 |
% 14.15/3.78 | Combining equations (713,716) yields a new equation:
% 14.15/3.78 | (717) all_0_111_111 = e21
% 14.15/3.78 |
% 14.15/3.78 | Simplifying 717 yields:
% 14.15/3.78 | (446) all_0_111_111 = e21
% 14.15/3.78 |
% 14.15/3.78 | Combining equations (714,715) yields a new equation:
% 14.15/3.78 | (719) all_0_111_111 = e22
% 14.15/3.78 |
% 14.15/3.78 | Simplifying 719 yields:
% 14.15/3.78 | (720) all_0_111_111 = e22
% 14.15/3.78 |
% 14.15/3.78 | Combining equations (720,446) yields a new equation:
% 14.15/3.78 | (691) e22 = e21
% 14.15/3.78 |
% 14.15/3.78 | Simplifying 691 yields:
% 14.15/3.78 | (692) e22 = e21
% 14.15/3.78 |
% 14.15/3.78 | Equations (692) can reduce 219 to:
% 14.15/3.78 | (422) $false
% 14.15/3.78 |
% 14.15/3.78 |-The branch is then unsatisfiable
% 14.15/3.78 |-Branch two:
% 14.15/3.78 | (724) ~ (all_0_139_139 = e21)
% 14.15/3.78 | (725) all_0_140_140 = e21 | all_0_141_141 = e21
% 14.15/3.78 |
% 14.15/3.78 +-Applying beta-rule and splitting (725), into two cases.
% 14.15/3.78 |-Branch one:
% 14.15/3.78 | (726) all_0_140_140 = e21
% 14.15/3.78 |
% 14.15/3.78 | Combining equations (407,726) yields a new equation:
% 14.15/3.78 | (685) e23 = e21
% 14.15/3.78 |
% 14.15/3.78 | Simplifying 685 yields:
% 14.15/3.78 | (441) e23 = e21
% 14.15/3.78 |
% 14.15/3.78 | Equations (441) can reduce 264 to:
% 14.15/3.78 | (422) $false
% 14.15/3.78 |
% 14.15/3.78 |-The branch is then unsatisfiable
% 14.15/3.78 |-Branch two:
% 14.15/3.78 | (730) ~ (all_0_140_140 = e21)
% 14.15/3.78 | (434) all_0_141_141 = e21
% 14.15/3.78 |
% 14.15/3.78 | Equations (434) can reduce 697 to:
% 14.15/3.78 | (422) $false
% 14.15/3.78 |
% 14.15/3.78 |-The branch is then unsatisfiable
% 14.15/3.78 |-Branch two:
% 14.15/3.78 | (733) ~ (all_0_137_137 = e21)
% 14.15/3.78 | (734) all_0_137_137 = e22
% 14.15/3.78 |
% 14.15/3.78 | Equations (734) can reduce 683 to:
% 14.15/3.78 | (422) $false
% 14.15/3.78 |
% 14.15/3.78 |-The branch is then unsatisfiable
% 14.15/3.78 |-Branch two:
% 14.15/3.78 | (736) ~ (all_0_133_133 = e22)
% 14.15/3.78 | (734) all_0_137_137 = e22
% 14.15/3.78 |
% 14.15/3.78 | From (734) and (292) follows:
% 14.15/3.78 | (738) op2(e21, e22) = all_0_100_100
% 14.15/3.78 |
% 14.15/3.78 | From (734) and (281) follows:
% 14.15/3.78 | (712) op2(e21, e21) = e22
% 14.15/3.78 |
% 14.15/3.78 +-Applying beta-rule and splitting (316), into two cases.
% 14.15/3.78 |-Branch one:
% 14.15/3.78 | (690) all_0_133_133 = e21
% 14.15/3.78 |
% 14.15/3.78 | Equations (690) can reduce 201 to:
% 14.15/3.78 | (741) ~ (all_0_134_134 = e21)
% 14.15/3.78 |
% 14.15/3.78 | Simplifying 741 yields:
% 14.15/3.78 | (742) ~ (all_0_134_134 = e21)
% 14.15/3.78 |
% 14.15/3.78 | Equations (690) can reduce 507 to:
% 14.15/3.78 | (703) ~ (e23 = e21)
% 14.15/3.78 |
% 14.15/3.78 | Simplifying 703 yields:
% 14.15/3.78 | (264) ~ (e23 = e21)
% 14.15/3.78 |
% 14.15/3.78 | Equations (690) can reduce 128 to:
% 14.15/3.78 | (319) ~ (e21 = e20)
% 14.15/3.78 |
% 14.15/3.78 +-Applying beta-rule and splitting (156), into two cases.
% 14.15/3.78 |-Branch one:
% 14.15/3.78 | (746) all_0_134_134 = e23
% 14.15/3.78 |
% 14.15/3.78 | Equations (746) can reduce 519 to:
% 14.15/3.78 | (422) $false
% 14.15/3.78 |
% 14.15/3.78 |-The branch is then unsatisfiable
% 14.15/3.78 |-Branch two:
% 14.15/3.78 | (519) ~ (all_0_134_134 = e23)
% 14.15/3.78 | (749) all_0_134_134 = e22 | all_0_134_134 = e21 | all_0_134_134 = e20
% 14.15/3.78 |
% 14.15/3.78 +-Applying beta-rule and splitting (749), into two cases.
% 14.15/3.78 |-Branch one:
% 14.15/3.78 | (695) all_0_134_134 = e21
% 14.15/3.78 |
% 14.15/3.78 | Equations (695) can reduce 742 to:
% 14.15/3.78 | (422) $false
% 14.15/3.78 |
% 14.15/3.78 |-The branch is then unsatisfiable
% 14.15/3.78 |-Branch two:
% 14.15/3.78 | (742) ~ (all_0_134_134 = e21)
% 14.15/3.78 | (753) all_0_134_134 = e22 | all_0_134_134 = e20
% 14.15/3.78 |
% 14.15/3.78 +-Applying beta-rule and splitting (753), into two cases.
% 14.15/3.78 |-Branch one:
% 14.15/3.78 | (754) all_0_134_134 = e22
% 14.15/3.78 |
% 14.15/3.78 | Equations (754) can reduce 96 to:
% 14.15/3.78 | (755) ~ (all_0_138_138 = e22)
% 14.15/3.78 |
% 14.15/3.78 | Simplifying 755 yields:
% 14.15/3.78 | (756) ~ (all_0_138_138 = e22)
% 14.15/3.78 |
% 14.15/3.78 | Equations (754) can reduce 742 to:
% 14.15/3.78 | (219) ~ (e22 = e21)
% 14.15/3.78 |
% 14.15/3.78 | Instantiating formula (328) with e21, e22, all_0_100_100, all_0_136_136 and discharging atoms op2(e21, e22) = all_0_100_100, op2(e21, e22) = all_0_136_136, yields:
% 14.15/3.78 | (758) all_0_100_100 = all_0_136_136
% 14.15/3.78 |
% 14.15/3.78 | From (758)(758) and (94) follows:
% 14.15/3.78 | (759) op2(all_0_136_136, all_0_136_136) = all_0_67_67
% 14.15/3.78 |
% 14.15/3.78 | From (758) and (213) follows:
% 14.15/3.78 | (760) op2(all_0_136_136, e21) = all_0_99_99
% 14.15/3.78 |
% 14.15/3.78 | From (758) and (350) follows:
% 14.15/3.78 | (761) op2(e21, all_0_136_136) = all_0_44_44
% 14.15/3.78 |
% 14.15/3.78 +-Applying beta-rule and splitting (55), into two cases.
% 14.15/3.78 |-Branch one:
% 14.15/3.78 | (762) all_0_139_139 = e20
% 14.15/3.78 |
% 14.15/3.78 | Equations (762) can reduce 325 to:
% 14.15/3.78 | (763) ~ (all_0_136_136 = e20)
% 14.15/3.78 |
% 14.15/3.78 | Equations (762) can reduce 509 to:
% 14.15/3.78 | (764) ~ (e23 = e20)
% 14.15/3.78 |
% 14.15/3.78 | Simplifying 764 yields:
% 14.15/3.78 | (249) ~ (e23 = e20)
% 14.15/3.78 |
% 14.15/3.78 | From (762)(762) and (510) follows:
% 14.15/3.78 | (766) op2(e20, e20) = e22
% 14.15/3.78 |
% 14.15/3.78 | From (762) and (540) follows:
% 14.15/3.79 | (767) op2(e20, e20) = all_0_24_24
% 14.15/3.79 |
% 14.15/3.79 | From (762) and (541) follows:
% 14.15/3.79 | (768) op2(e20, e20) = all_0_35_35
% 14.15/3.79 |
% 14.15/3.79 +-Applying beta-rule and splitting (223), into two cases.
% 14.15/3.79 |-Branch one:
% 14.15/3.79 | (424) all_0_135_135 = e20
% 14.15/3.79 |
% 14.15/3.79 | Combining equations (424,458) yields a new equation:
% 14.15/3.79 | (421) e23 = e20
% 14.15/3.79 |
% 14.15/3.79 | Equations (421) can reduce 249 to:
% 14.15/3.79 | (422) $false
% 14.15/3.79 |
% 14.15/3.79 |-The branch is then unsatisfiable
% 14.15/3.79 |-Branch two:
% 14.15/3.79 | (772) ~ (all_0_135_135 = e20)
% 14.15/3.79 | (773) all_0_136_136 = e20 | all_0_138_138 = e20
% 14.15/3.79 |
% 14.15/3.79 +-Applying beta-rule and splitting (129), into two cases.
% 14.15/3.79 |-Branch one:
% 14.15/3.79 | (684) all_0_132_132 = e21
% 14.15/3.79 |
% 14.15/3.79 | Combining equations (455,684) yields a new equation:
% 14.15/3.79 | (685) e23 = e21
% 14.15/3.79 |
% 14.15/3.79 | Simplifying 685 yields:
% 14.15/3.79 | (441) e23 = e21
% 14.15/3.79 |
% 14.15/3.79 | Equations (441) can reduce 264 to:
% 14.15/3.79 | (422) $false
% 14.15/3.79 |
% 14.15/3.79 |-The branch is then unsatisfiable
% 14.15/3.79 |-Branch two:
% 14.15/3.79 | (688) ~ (all_0_132_132 = e21)
% 14.15/3.79 | (779) all_0_136_136 = e21 | all_0_139_139 = e21
% 14.15/3.79 |
% 14.15/3.79 +-Applying beta-rule and splitting (773), into two cases.
% 14.15/3.79 |-Branch one:
% 14.15/3.79 | (780) all_0_136_136 = e20
% 14.15/3.79 |
% 14.15/3.79 | Equations (780) can reduce 763 to:
% 14.15/3.79 | (422) $false
% 14.15/3.79 |
% 14.15/3.79 |-The branch is then unsatisfiable
% 14.15/3.79 |-Branch two:
% 14.15/3.79 | (763) ~ (all_0_136_136 = e20)
% 14.15/3.79 | (783) all_0_138_138 = e20
% 14.15/3.79 |
% 14.15/3.79 | Equations (783) can reduce 357 to:
% 14.15/3.79 | (763) ~ (all_0_136_136 = e20)
% 14.15/3.79 |
% 14.15/3.79 | Equations (783) can reduce 229 to:
% 14.15/3.79 | (785) ~ (all_0_141_141 = e20)
% 14.15/3.79 |
% 14.15/3.79 | Simplifying 785 yields:
% 14.15/3.79 | (786) ~ (all_0_141_141 = e20)
% 14.15/3.79 |
% 14.15/3.79 +-Applying beta-rule and splitting (280), into two cases.
% 14.15/3.79 |-Branch one:
% 14.15/3.79 | (695) all_0_134_134 = e21
% 14.15/3.79 |
% 14.15/3.79 | Combining equations (695,754) yields a new equation:
% 14.15/3.79 | (692) e22 = e21
% 14.15/3.79 |
% 14.15/3.79 | Equations (692) can reduce 219 to:
% 14.15/3.79 | (422) $false
% 14.15/3.79 |
% 14.15/3.79 |-The branch is then unsatisfiable
% 14.15/3.79 |-Branch two:
% 14.15/3.79 | (742) ~ (all_0_134_134 = e21)
% 14.15/3.79 | (791) all_0_138_138 = e21 | all_0_141_141 = e21
% 14.15/3.79 |
% 14.15/3.79 +-Applying beta-rule and splitting (779), into two cases.
% 14.15/3.79 |-Branch one:
% 14.15/3.79 | (792) all_0_136_136 = e21
% 14.15/3.79 |
% 14.15/3.79 | Equations (792) can reduce 763 to:
% 14.15/3.79 | (319) ~ (e21 = e20)
% 14.15/3.79 |
% 14.15/3.79 | From (792)(792) and (759) follows:
% 14.15/3.79 | (794) op2(e21, e21) = all_0_67_67
% 14.15/3.79 |
% 14.15/3.79 | From (792) and (760) follows:
% 14.15/3.79 | (795) op2(e21, e21) = all_0_99_99
% 14.15/3.79 |
% 14.15/3.79 | From (792) and (761) follows:
% 14.15/3.79 | (796) op2(e21, e21) = all_0_44_44
% 14.15/3.79 |
% 14.15/3.79 +-Applying beta-rule and splitting (791), into two cases.
% 14.15/3.79 |-Branch one:
% 14.15/3.79 | (797) all_0_138_138 = e21
% 14.15/3.79 |
% 14.15/3.79 | Combining equations (783,797) yields a new equation:
% 14.15/3.79 | (798) e21 = e20
% 14.15/3.79 |
% 14.15/3.79 | Equations (798) can reduce 319 to:
% 14.15/3.79 | (422) $false
% 14.15/3.79 |
% 14.15/3.79 |-The branch is then unsatisfiable
% 14.15/3.79 |-Branch two:
% 14.15/3.79 | (800) ~ (all_0_138_138 = e21)
% 14.15/3.79 | (434) all_0_141_141 = e21
% 14.15/3.79 |
% 14.15/3.79 | Equations (434) can reduce 786 to:
% 14.15/3.79 | (319) ~ (e21 = e20)
% 14.15/3.79 |
% 14.15/3.79 | From (434)(434) and (511) follows:
% 14.15/3.79 | (803) op2(e21, e21) = e20
% 14.15/3.79 |
% 14.15/3.79 | From (434) and (28) follows:
% 14.15/3.79 | (804) op2(e20, e20) = e21
% 14.15/3.79 |
% 14.15/3.79 | Instantiating formula (328) with e21, e21, all_0_44_44, e22 and discharging atoms op2(e21, e21) = all_0_44_44, op2(e21, e21) = e22, yields:
% 14.15/3.79 | (805) all_0_44_44 = e22
% 14.15/3.79 |
% 14.15/3.79 | Instantiating formula (328) with e21, e21, all_0_67_67, all_0_44_44 and discharging atoms op2(e21, e21) = all_0_44_44, op2(e21, e21) = all_0_67_67, yields:
% 14.15/3.79 | (806) all_0_44_44 = all_0_67_67
% 14.15/3.79 |
% 14.15/3.79 | Instantiating formula (328) with e21, e21, all_0_99_99, all_0_44_44 and discharging atoms op2(e21, e21) = all_0_44_44, op2(e21, e21) = all_0_99_99, yields:
% 14.15/3.79 | (807) all_0_44_44 = all_0_99_99
% 14.15/3.79 |
% 14.15/3.79 | Instantiating formula (328) with e21, e21, e20, all_0_99_99 and discharging atoms op2(e21, e21) = all_0_99_99, op2(e21, e21) = e20, yields:
% 14.15/3.79 | (808) all_0_99_99 = e20
% 14.15/3.79 |
% 14.15/3.79 | Instantiating formula (328) with e20, e20, all_0_35_35, all_0_24_24 and discharging atoms op2(e20, e20) = all_0_24_24, op2(e20, e20) = all_0_35_35, yields:
% 14.15/3.79 | (809) all_0_24_24 = all_0_35_35
% 14.15/3.79 |
% 14.15/3.79 | Instantiating formula (328) with e20, e20, e22, all_0_35_35 and discharging atoms op2(e20, e20) = all_0_35_35, op2(e20, e20) = e22, yields:
% 14.15/3.79 | (810) all_0_35_35 = e22
% 14.15/3.79 |
% 14.15/3.79 | Instantiating formula (328) with e20, e20, e21, all_0_24_24 and discharging atoms op2(e20, e20) = all_0_24_24, op2(e20, e20) = e21, yields:
% 14.15/3.79 | (811) all_0_24_24 = e21
% 14.15/3.79 |
% 14.15/3.79 | Combining equations (809,811) yields a new equation:
% 14.15/3.79 | (812) all_0_35_35 = e21
% 14.15/3.79 |
% 14.15/3.79 | Simplifying 812 yields:
% 14.15/3.79 | (813) all_0_35_35 = e21
% 14.15/3.79 |
% 14.15/3.79 | Combining equations (813,810) yields a new equation:
% 14.15/3.79 | (692) e22 = e21
% 14.15/3.79 |
% 14.15/3.79 | Combining equations (807,806) yields a new equation:
% 14.15/3.79 | (815) all_0_67_67 = all_0_99_99
% 14.15/3.79 |
% 14.15/3.80 | Combining equations (805,806) yields a new equation:
% 14.15/3.80 | (816) all_0_67_67 = e22
% 14.15/3.80 |
% 14.15/3.80 | Combining equations (815,816) yields a new equation:
% 14.15/3.80 | (817) all_0_99_99 = e22
% 14.15/3.80 |
% 14.15/3.80 | Simplifying 817 yields:
% 14.15/3.80 | (818) all_0_99_99 = e22
% 14.15/3.80 |
% 14.15/3.80 | Combining equations (818,808) yields a new equation:
% 14.15/3.80 | (819) e22 = e20
% 14.15/3.80 |
% 14.15/3.80 | Simplifying 819 yields:
% 14.15/3.80 | (820) e22 = e20
% 14.15/3.80 |
% 14.15/3.80 | Combining equations (820,692) yields a new equation:
% 14.15/3.80 | (798) e21 = e20
% 14.15/3.80 |
% 14.15/3.80 | Equations (798) can reduce 319 to:
% 14.15/3.80 | (422) $false
% 14.15/3.80 |
% 14.15/3.80 |-The branch is then unsatisfiable
% 14.15/3.80 |-Branch two:
% 14.15/3.80 | (823) ~ (all_0_136_136 = e21)
% 14.15/3.80 | (709) all_0_139_139 = e21
% 14.15/3.80 |
% 14.15/3.80 | Combining equations (709,762) yields a new equation:
% 14.15/3.80 | (825) e21 = e20
% 14.15/3.80 |
% 14.15/3.80 | Simplifying 825 yields:
% 14.15/3.80 | (798) e21 = e20
% 14.15/3.80 |
% 14.15/3.80 | Equations (798) can reduce 319 to:
% 14.15/3.80 | (422) $false
% 14.15/3.80 |
% 14.15/3.80 |-The branch is then unsatisfiable
% 14.15/3.80 |-Branch two:
% 14.15/3.80 | (828) ~ (all_0_139_139 = e20)
% 14.15/3.80 | (829) all_0_141_141 = e20
% 14.15/3.80 |
% 14.15/3.80 | Equations (829) can reduce 229 to:
% 14.15/3.80 | (830) ~ (all_0_138_138 = e20)
% 14.15/3.80 |
% 14.15/3.80 | Equations (829) can reduce 337 to:
% 14.15/3.80 | (828) ~ (all_0_139_139 = e20)
% 14.15/3.80 |
% 14.15/3.80 | Equations (829) can reduce 410 to:
% 14.15/3.80 | (764) ~ (e23 = e20)
% 14.15/3.80 |
% 14.15/3.80 | Simplifying 764 yields:
% 14.15/3.80 | (249) ~ (e23 = e20)
% 14.15/3.80 |
% 14.15/3.80 +-Applying beta-rule and splitting (223), into two cases.
% 14.15/3.80 |-Branch one:
% 14.15/3.80 | (424) all_0_135_135 = e20
% 14.15/3.80 |
% 14.15/3.80 | Combining equations (424,458) yields a new equation:
% 14.15/3.80 | (421) e23 = e20
% 14.15/3.80 |
% 14.15/3.80 | Equations (421) can reduce 249 to:
% 14.15/3.80 | (422) $false
% 14.15/3.80 |
% 14.15/3.80 |-The branch is then unsatisfiable
% 14.15/3.80 |-Branch two:
% 14.15/3.80 | (772) ~ (all_0_135_135 = e20)
% 14.15/3.80 | (773) all_0_136_136 = e20 | all_0_138_138 = e20
% 14.15/3.80 |
% 14.15/3.80 +-Applying beta-rule and splitting (175), into two cases.
% 14.15/3.80 |-Branch one:
% 14.15/3.80 | (839) all_0_139_139 = e23
% 14.15/3.80 |
% 14.15/3.80 | Equations (839) can reduce 509 to:
% 14.15/3.80 | (422) $false
% 14.15/3.80 |
% 14.15/3.80 |-The branch is then unsatisfiable
% 14.15/3.80 |-Branch two:
% 14.15/3.80 | (509) ~ (all_0_139_139 = e23)
% 14.15/3.80 | (842) all_0_139_139 = e21 | all_0_139_139 = e20
% 14.15/3.80 |
% 14.15/3.80 +-Applying beta-rule and splitting (842), into two cases.
% 14.15/3.80 |-Branch one:
% 14.15/3.80 | (709) all_0_139_139 = e21
% 14.15/3.80 |
% 14.15/3.80 +-Applying beta-rule and splitting (256), into two cases.
% 14.15/3.80 |-Branch one:
% 14.15/3.80 | (844) all_0_138_138 = e23
% 14.15/3.80 |
% 14.15/3.80 | Equations (844) can reduce 521 to:
% 14.15/3.80 | (422) $false
% 14.15/3.80 |
% 14.15/3.80 |-The branch is then unsatisfiable
% 14.15/3.80 |-Branch two:
% 14.15/3.80 | (521) ~ (all_0_138_138 = e23)
% 14.15/3.80 | (847) all_0_138_138 = e22 | all_0_138_138 = e21 | all_0_138_138 = e20
% 14.15/3.80 |
% 14.15/3.80 +-Applying beta-rule and splitting (773), into two cases.
% 14.15/3.80 |-Branch one:
% 14.15/3.80 | (780) all_0_136_136 = e20
% 14.15/3.80 |
% 14.15/3.80 | Equations (780) can reduce 357 to:
% 14.15/3.80 | (849) ~ (all_0_138_138 = e20)
% 14.15/3.80 |
% 14.15/3.80 | Simplifying 849 yields:
% 14.15/3.80 | (830) ~ (all_0_138_138 = e20)
% 14.15/3.80 |
% 14.15/3.80 +-Applying beta-rule and splitting (847), into two cases.
% 14.15/3.80 |-Branch one:
% 14.15/3.80 | (797) all_0_138_138 = e21
% 14.15/3.80 |
% 14.15/3.80 +-Applying beta-rule and splitting (198), into two cases.
% 14.15/3.80 |-Branch one:
% 14.15/3.80 | (852) all_0_146_146 = e12
% 14.15/3.80 |
% 14.15/3.80 | Equations (852) can reduce 177 to:
% 14.15/3.80 | (853) ~ (all_0_147_147 = e12)
% 14.15/3.80 |
% 14.15/3.80 | Simplifying 853 yields:
% 14.15/3.80 | (854) ~ (all_0_147_147 = e12)
% 14.15/3.80 |
% 14.15/3.80 | Equations (852) can reduce 653 to:
% 14.15/3.80 | (855) ~ (e13 = e12)
% 14.15/3.80 |
% 14.15/3.80 | Simplifying 855 yields:
% 14.15/3.80 | (277) ~ (e13 = e12)
% 14.15/3.80 |
% 14.15/3.80 | Equations (852) can reduce 53 to:
% 14.15/3.80 | (149) ~ (e12 = e10)
% 14.15/3.80 |
% 14.15/3.80 +-Applying beta-rule and splitting (45), into two cases.
% 14.15/3.80 |-Branch one:
% 14.15/3.80 | (858) all_0_143_143 = e12
% 14.15/3.80 |
% 14.15/3.80 | Combining equations (668,858) yields a new equation:
% 14.15/3.80 | (859) e13 = e12
% 14.15/3.80 |
% 14.15/3.80 | Simplifying 859 yields:
% 14.15/3.80 | (860) e13 = e12
% 14.15/3.80 |
% 14.15/3.80 | Equations (860) can reduce 277 to:
% 14.15/3.80 | (422) $false
% 14.15/3.80 |
% 14.15/3.80 |-The branch is then unsatisfiable
% 14.15/3.80 |-Branch two:
% 14.15/3.80 | (664) ~ (all_0_143_143 = e12)
% 14.15/3.80 | (863) all_0_147_147 = e12 | all_0_151_151 = e12
% 14.15/3.80 |
% 14.15/3.81 +-Applying beta-rule and splitting (863), into two cases.
% 14.15/3.81 |-Branch one:
% 14.15/3.81 | (864) all_0_147_147 = e12
% 14.15/3.81 |
% 14.15/3.81 | Equations (864) can reduce 854 to:
% 14.15/3.81 | (422) $false
% 14.15/3.81 |
% 14.15/3.81 |-The branch is then unsatisfiable
% 14.15/3.81 |-Branch two:
% 14.15/3.81 | (854) ~ (all_0_147_147 = e12)
% 14.15/3.81 | (867) all_0_151_151 = e12
% 14.15/3.81 |
% 14.15/3.81 | Equations (867) can reduce 354 to:
% 14.15/3.81 | (854) ~ (all_0_147_147 = e12)
% 14.15/3.81 |
% 14.15/3.81 | Equations (867) can reduce 373 to:
% 14.15/3.81 | (869) ~ (all_0_150_150 = e12)
% 14.15/3.81 |
% 14.15/3.81 +-Applying beta-rule and splitting (376), into two cases.
% 14.15/3.81 |-Branch one:
% 14.15/3.81 | (870) all_0_147_147 = e13
% 14.15/3.81 |
% 14.15/3.81 | Equations (870) can reduce 670 to:
% 14.15/3.81 | (422) $false
% 14.15/3.81 |
% 14.15/3.81 |-The branch is then unsatisfiable
% 14.15/3.81 |-Branch two:
% 14.15/3.81 | (670) ~ (all_0_147_147 = e13)
% 14.15/3.81 | (873) all_0_147_147 = e12 | all_0_147_147 = e11 | all_0_147_147 = e10
% 14.15/3.81 |
% 14.15/3.81 +-Applying beta-rule and splitting (873), into two cases.
% 14.15/3.81 |-Branch one:
% 14.15/3.81 | (874) all_0_147_147 = e11
% 14.15/3.81 |
% 14.15/3.81 | Equations (874) can reduce 104 to:
% 14.15/3.81 | (875) ~ (all_0_154_154 = e11)
% 14.15/3.81 |
% 14.15/3.81 | Simplifying 875 yields:
% 14.15/3.81 | (876) ~ (all_0_154_154 = e11)
% 14.15/3.81 |
% 14.15/3.81 +-Applying beta-rule and splitting (58), into two cases.
% 14.15/3.81 |-Branch one:
% 14.15/3.81 | (574) all_0_150_150 = e13
% 14.15/3.81 |
% 14.15/3.81 | Equations (574) can reduce 546 to:
% 14.15/3.81 | (422) $false
% 14.15/3.81 |
% 14.15/3.81 |-The branch is then unsatisfiable
% 14.15/3.81 |-Branch two:
% 14.15/3.81 | (546) ~ (all_0_150_150 = e13)
% 14.15/3.81 | (880) all_0_150_150 = e12 | all_0_150_150 = e11
% 14.15/3.81 |
% 14.15/3.81 +-Applying beta-rule and splitting (159), into two cases.
% 14.15/3.81 |-Branch one:
% 14.15/3.81 | (881) all_0_152_152 = e11
% 14.15/3.81 |
% 14.15/3.81 | From (881)(881) and (656) follows:
% 14.15/3.81 | (882) op1(e11, e11) = e12
% 14.15/3.81 |
% 14.15/3.81 +-Applying beta-rule and splitting (880), into two cases.
% 14.15/3.81 |-Branch one:
% 14.15/3.81 | (883) all_0_150_150 = e11
% 14.15/3.81 |
% 14.15/3.81 | Equations (883) can reduce 869 to:
% 14.15/3.81 | (884) ~ (e12 = e11)
% 14.15/3.81 |
% 14.15/3.81 | Simplifying 884 yields:
% 14.15/3.81 | (305) ~ (e12 = e11)
% 14.15/3.81 |
% 14.15/3.81 | From (883) and (304) follows:
% 14.15/3.81 | (886) op1(e11, e11) = e11
% 14.15/3.81 |
% 14.15/3.81 | Instantiating formula (296) with e11, e11, e11, e12 and discharging atoms op1(e11, e11) = e12, op1(e11, e11) = e11, yields:
% 14.15/3.81 | (887) e12 = e11
% 14.15/3.81 |
% 14.15/3.81 | Equations (887) can reduce 305 to:
% 14.15/3.81 | (422) $false
% 14.15/3.81 |
% 14.15/3.81 |-The branch is then unsatisfiable
% 14.15/3.81 |-Branch two:
% 14.15/3.81 | (889) ~ (all_0_150_150 = e11)
% 14.15/3.81 | (890) all_0_150_150 = e12
% 14.15/3.81 |
% 14.15/3.81 | Equations (890) can reduce 869 to:
% 14.15/3.81 | (422) $false
% 14.15/3.81 |
% 14.15/3.81 |-The branch is then unsatisfiable
% 14.15/3.81 |-Branch two:
% 14.15/3.81 | (892) ~ (all_0_152_152 = e11)
% 14.15/3.81 | (893) all_0_153_153 = e11 | all_0_154_154 = e11
% 14.15/3.81 |
% 14.15/3.81 +-Applying beta-rule and splitting (880), into two cases.
% 14.15/3.81 |-Branch one:
% 14.15/3.81 | (883) all_0_150_150 = e11
% 14.15/3.81 |
% 14.15/3.81 | Equations (883) can reduce 546 to:
% 14.15/3.81 | (895) ~ (e13 = e11)
% 14.15/3.81 |
% 14.15/3.81 | Simplifying 895 yields:
% 14.15/3.81 | (358) ~ (e13 = e11)
% 14.15/3.81 |
% 14.15/3.81 +-Applying beta-rule and splitting (383), into two cases.
% 14.15/3.81 |-Branch one:
% 14.15/3.81 | (565) all_0_148_148 = e10
% 14.15/3.81 |
% 14.15/3.81 | Combining equations (562,565) yields a new equation:
% 14.15/3.81 | (898) e13 = e10
% 14.15/3.81 |
% 14.15/3.81 | Simplifying 898 yields:
% 14.15/3.81 | (899) e13 = e10
% 14.15/3.81 |
% 14.15/3.81 | Equations (899) can reduce 176 to:
% 14.15/3.81 | (422) $false
% 14.15/3.81 |
% 14.15/3.81 |-The branch is then unsatisfiable
% 14.15/3.81 |-Branch two:
% 14.64/3.81 | (901) ~ (all_0_148_148 = e10)
% 14.64/3.81 | (902) all_0_149_149 = e10 | all_0_151_151 = e10
% 14.64/3.81 |
% 14.64/3.81 +-Applying beta-rule and splitting (902), into two cases.
% 14.64/3.81 |-Branch one:
% 14.64/3.81 | (903) all_0_149_149 = e10
% 14.64/3.81 |
% 14.64/3.81 | Equations (903) can reduce 238 to:
% 14.64/3.81 | (904) ~ (all_0_152_152 = e10)
% 14.64/3.81 |
% 14.64/3.81 | Simplifying 904 yields:
% 14.64/3.81 | (905) ~ (all_0_152_152 = e10)
% 14.64/3.81 |
% 14.64/3.81 +-Applying beta-rule and splitting (268), into two cases.
% 14.64/3.81 |-Branch one:
% 14.64/3.81 | (906) all_0_152_152 = e10
% 14.64/3.81 |
% 14.64/3.81 | Equations (906) can reduce 905 to:
% 14.64/3.81 | (422) $false
% 14.64/3.81 |
% 14.64/3.81 |-The branch is then unsatisfiable
% 14.64/3.81 |-Branch two:
% 14.64/3.81 | (905) ~ (all_0_152_152 = e10)
% 14.64/3.81 | (909) all_0_154_154 = e10
% 14.64/3.81 |
% 14.66/3.82 | Equations (909) can reduce 876 to:
% 14.66/3.82 | (910) ~ (e11 = e10)
% 14.66/3.82 |
% 14.66/3.82 | Simplifying 910 yields:
% 14.66/3.82 | (284) ~ (e11 = e10)
% 14.66/3.82 |
% 14.66/3.82 +-Applying beta-rule and splitting (107), into two cases.
% 14.66/3.82 |-Branch one:
% 14.66/3.82 | (912) all_0_145_145 = e11
% 14.66/3.82 |
% 14.66/3.82 | Combining equations (596,912) yields a new equation:
% 14.66/3.82 | (913) e13 = e11
% 14.66/3.82 |
% 14.66/3.82 | Simplifying 913 yields:
% 14.66/3.82 | (582) e13 = e11
% 14.66/3.82 |
% 14.66/3.82 | Equations (582) can reduce 358 to:
% 14.66/3.82 | (422) $false
% 14.66/3.82 |
% 14.66/3.82 |-The branch is then unsatisfiable
% 14.66/3.82 |-Branch two:
% 14.67/3.82 | (916) ~ (all_0_145_145 = e11)
% 14.67/3.82 | (917) all_0_149_149 = e11 | all_0_152_152 = e11
% 14.67/3.82 |
% 14.67/3.82 +-Applying beta-rule and splitting (917), into two cases.
% 14.67/3.82 |-Branch one:
% 14.67/3.82 | (918) all_0_149_149 = e11
% 14.67/3.82 |
% 14.67/3.82 | Combining equations (918,903) yields a new equation:
% 14.67/3.82 | (919) e11 = e10
% 14.67/3.82 |
% 14.67/3.82 | Simplifying 919 yields:
% 14.67/3.82 | (920) e11 = e10
% 14.67/3.82 |
% 14.67/3.82 | Equations (920) can reduce 284 to:
% 14.67/3.82 | (422) $false
% 14.67/3.82 |
% 14.67/3.82 |-The branch is then unsatisfiable
% 14.67/3.82 |-Branch two:
% 14.67/3.82 | (922) ~ (all_0_149_149 = e11)
% 14.67/3.82 | (881) all_0_152_152 = e11
% 14.67/3.82 |
% 14.67/3.82 | Equations (881) can reduce 892 to:
% 14.67/3.82 | (422) $false
% 14.67/3.82 |
% 14.67/3.82 |-The branch is then unsatisfiable
% 14.67/3.82 |-Branch two:
% 14.67/3.82 | (925) ~ (all_0_149_149 = e10)
% 14.67/3.82 | (926) all_0_151_151 = e10
% 14.67/3.82 |
% 14.67/3.82 | Combining equations (867,926) yields a new equation:
% 14.67/3.82 | (927) e12 = e10
% 14.67/3.82 |
% 14.67/3.82 | Simplifying 927 yields:
% 14.67/3.82 | (928) e12 = e10
% 14.67/3.82 |
% 14.67/3.82 | Equations (928) can reduce 149 to:
% 14.67/3.82 | (422) $false
% 14.67/3.82 |
% 14.67/3.82 |-The branch is then unsatisfiable
% 14.67/3.82 |-Branch two:
% 14.67/3.82 | (889) ~ (all_0_150_150 = e11)
% 14.67/3.82 | (890) all_0_150_150 = e12
% 14.67/3.82 |
% 14.67/3.82 | Equations (890) can reduce 869 to:
% 14.67/3.82 | (422) $false
% 14.67/3.82 |
% 14.67/3.82 |-The branch is then unsatisfiable
% 14.67/3.82 |-Branch two:
% 14.67/3.82 | (933) ~ (all_0_147_147 = e11)
% 14.67/3.82 | (934) all_0_147_147 = e12 | all_0_147_147 = e10
% 14.67/3.82 |
% 14.67/3.82 +-Applying beta-rule and splitting (934), into two cases.
% 14.67/3.82 |-Branch one:
% 14.67/3.82 | (864) all_0_147_147 = e12
% 14.67/3.82 |
% 14.67/3.82 | Equations (864) can reduce 854 to:
% 14.67/3.82 | (422) $false
% 14.67/3.82 |
% 14.67/3.82 |-The branch is then unsatisfiable
% 14.67/3.82 |-Branch two:
% 14.67/3.82 | (854) ~ (all_0_147_147 = e12)
% 14.67/3.82 | (938) all_0_147_147 = e10
% 14.67/3.82 |
% 14.67/3.82 | Equations (938) can reduce 613 to:
% 14.67/3.82 | (422) $false
% 14.67/3.82 |
% 14.67/3.82 |-The branch is then unsatisfiable
% 14.67/3.82 |-Branch two:
% 14.67/3.82 | (940) ~ (all_0_146_146 = e12)
% 14.67/3.82 | (890) all_0_150_150 = e12
% 14.67/3.82 |
% 14.67/3.82 | Equations (890) can reduce 373 to:
% 14.67/3.82 | (942) ~ (all_0_151_151 = e12)
% 14.67/3.82 |
% 14.67/3.82 | Simplifying 942 yields:
% 14.67/3.82 | (943) ~ (all_0_151_151 = e12)
% 14.67/3.82 |
% 14.67/3.82 | Equations (890) can reduce 546 to:
% 14.67/3.82 | (855) ~ (e13 = e12)
% 14.67/3.82 |
% 14.67/3.82 | Simplifying 855 yields:
% 14.67/3.82 | (277) ~ (e13 = e12)
% 14.67/3.82 |
% 14.67/3.82 | From (890) and (304) follows:
% 14.67/3.82 | (882) op1(e11, e11) = e12
% 14.67/3.82 |
% 14.67/3.82 | From (890) and (136) follows:
% 14.67/3.83 | (947) h4(e12) = all_0_8_8
% 14.67/3.83 |
% 14.67/3.83 +-Applying beta-rule and splitting (45), into two cases.
% 14.67/3.83 |-Branch one:
% 14.67/3.83 | (858) all_0_143_143 = e12
% 14.67/3.83 |
% 14.67/3.83 | Combining equations (668,858) yields a new equation:
% 14.67/3.83 | (859) e13 = e12
% 14.67/3.83 |
% 14.67/3.83 | Simplifying 859 yields:
% 14.67/3.83 | (860) e13 = e12
% 14.67/3.83 |
% 14.67/3.83 | Equations (860) can reduce 277 to:
% 14.67/3.83 | (422) $false
% 14.67/3.83 |
% 14.67/3.83 |-The branch is then unsatisfiable
% 14.67/3.83 |-Branch two:
% 14.67/3.83 | (664) ~ (all_0_143_143 = e12)
% 14.67/3.83 | (863) all_0_147_147 = e12 | all_0_151_151 = e12
% 14.67/3.83 |
% 14.67/3.83 +-Applying beta-rule and splitting (863), into two cases.
% 14.67/3.83 |-Branch one:
% 14.67/3.83 | (864) all_0_147_147 = e12
% 14.67/3.83 |
% 14.67/3.83 | Equations (864) can reduce 177 to:
% 14.67/3.83 | (940) ~ (all_0_146_146 = e12)
% 14.67/3.83 |
% 14.67/3.83 | Equations (864) can reduce 104 to:
% 14.67/3.83 | (956) ~ (all_0_154_154 = e12)
% 14.67/3.83 |
% 14.67/3.83 | Simplifying 956 yields:
% 14.67/3.83 | (12) ~ (all_0_154_154 = e12)
% 14.67/3.83 |
% 14.67/3.83 | From (864) and (330) follows:
% 14.67/3.83 | (958) h4(e12) = all_0_5_5
% 14.67/3.83 |
% 14.67/3.83 +-Applying beta-rule and splitting (209), into two cases.
% 14.67/3.83 |-Branch one:
% 14.67/3.83 | (959) all_0_146_146 = e13
% 14.67/3.83 |
% 14.67/3.83 | Equations (959) can reduce 653 to:
% 14.67/3.83 | (422) $false
% 14.67/3.83 |
% 14.67/3.83 |-The branch is then unsatisfiable
% 14.67/3.83 |-Branch two:
% 14.67/3.83 | (653) ~ (all_0_146_146 = e13)
% 14.67/3.83 | (962) all_0_146_146 = e12 | all_0_146_146 = e11
% 14.67/3.83 |
% 14.67/3.83 +-Applying beta-rule and splitting (962), into two cases.
% 14.67/3.83 |-Branch one:
% 14.67/3.83 | (963) all_0_146_146 = e11
% 14.67/3.83 |
% 14.67/3.83 | Equations (963) can reduce 653 to:
% 14.67/3.83 | (895) ~ (e13 = e11)
% 14.67/3.83 |
% 14.67/3.83 | Simplifying 895 yields:
% 14.67/3.83 | (358) ~ (e13 = e11)
% 14.67/3.83 |
% 14.67/3.83 | Equations (963) can reduce 53 to:
% 14.67/3.83 | (284) ~ (e11 = e10)
% 14.67/3.83 |
% 14.67/3.83 | From (963) and (83) follows:
% 14.67/3.83 | (967) h4(e11) = all_0_4_4
% 14.67/3.83 |
% 14.67/3.83 | Instantiating formula (62) with e12, all_0_5_5, e22 and discharging atoms h4(e12) = all_0_5_5, h4(e12) = e22, yields:
% 14.67/3.83 | (968) all_0_5_5 = e22
% 14.67/3.83 |
% 14.67/3.83 | Instantiating formula (62) with e12, all_0_8_8, all_0_5_5 and discharging atoms h4(e12) = all_0_5_5, h4(e12) = all_0_8_8, yields:
% 14.67/3.83 | (969) all_0_5_5 = all_0_8_8
% 14.67/3.83 |
% 14.67/3.83 | Instantiating formula (62) with e11, all_0_4_4, e21 and discharging atoms h4(e11) = all_0_4_4, h4(e11) = e21, yields:
% 14.67/3.83 | (970) all_0_4_4 = e21
% 14.67/3.83 |
% 14.67/3.83 | Combining equations (969,968) yields a new equation:
% 14.67/3.83 | (971) all_0_8_8 = e22
% 14.67/3.83 |
% 14.67/3.83 | Simplifying 971 yields:
% 14.67/3.83 | (972) all_0_8_8 = e22
% 14.67/3.83 |
% 14.67/3.83 | From (970) and (967) follows:
% 14.67/3.83 | (359) h4(e11) = e21
% 14.67/3.83 |
% 14.67/3.83 +-Applying beta-rule and splitting (268), into two cases.
% 14.67/3.83 |-Branch one:
% 14.67/3.83 | (906) all_0_152_152 = e10
% 14.67/3.83 |
% 14.67/3.83 | Equations (906) can reduce 238 to:
% 14.67/3.83 | (925) ~ (all_0_149_149 = e10)
% 14.67/3.83 |
% 14.67/3.83 | Equations (906) can reduce 655 to:
% 14.67/3.83 | (976) ~ (e13 = e10)
% 14.67/3.83 |
% 14.67/3.83 | Simplifying 976 yields:
% 14.67/3.83 | (176) ~ (e13 = e10)
% 14.67/3.83 |
% 14.67/3.83 | From (906)(906) and (656) follows:
% 14.67/3.83 | (978) op1(e10, e10) = e12
% 14.67/3.83 |
% 14.67/3.83 +-Applying beta-rule and splitting (159), into two cases.
% 14.67/3.83 |-Branch one:
% 14.67/3.83 | (881) all_0_152_152 = e11
% 14.67/3.83 |
% 14.67/3.83 | Combining equations (906,881) yields a new equation:
% 14.67/3.83 | (920) e11 = e10
% 14.67/3.83 |
% 14.67/3.83 | Equations (920) can reduce 284 to:
% 14.67/3.83 | (422) $false
% 14.67/3.83 |
% 14.67/3.83 |-The branch is then unsatisfiable
% 14.67/3.83 |-Branch two:
% 14.67/3.83 | (892) ~ (all_0_152_152 = e11)
% 14.67/3.83 | (893) all_0_153_153 = e11 | all_0_154_154 = e11
% 14.67/3.83 |
% 14.67/3.83 +-Applying beta-rule and splitting (383), into two cases.
% 14.67/3.83 |-Branch one:
% 14.67/3.83 | (565) all_0_148_148 = e10
% 14.67/3.83 |
% 14.67/3.83 | Combining equations (562,565) yields a new equation:
% 14.67/3.83 | (898) e13 = e10
% 14.67/3.83 |
% 14.67/3.83 | Simplifying 898 yields:
% 14.67/3.83 | (899) e13 = e10
% 14.67/3.83 |
% 14.67/3.83 | Equations (899) can reduce 176 to:
% 14.67/3.83 | (422) $false
% 14.67/3.83 |
% 14.67/3.83 |-The branch is then unsatisfiable
% 14.67/3.83 |-Branch two:
% 14.67/3.83 | (901) ~ (all_0_148_148 = e10)
% 14.67/3.83 | (902) all_0_149_149 = e10 | all_0_151_151 = e10
% 14.67/3.83 |
% 14.67/3.83 +-Applying beta-rule and splitting (893), into two cases.
% 14.67/3.83 |-Branch one:
% 14.67/3.83 | (990) all_0_153_153 = e11
% 14.67/3.83 |
% 14.67/3.83 | Combining equations (990,545) yields a new equation:
% 14.67/3.83 | (582) e13 = e11
% 14.67/3.84 |
% 14.67/3.84 | Equations (582) can reduce 358 to:
% 14.67/3.84 | (422) $false
% 14.67/3.84 |
% 14.67/3.84 |-The branch is then unsatisfiable
% 14.67/3.84 |-Branch two:
% 14.67/3.84 | (993) ~ (all_0_153_153 = e11)
% 14.67/3.84 | (575) all_0_154_154 = e11
% 14.67/3.84 |
% 14.67/3.84 | Equations (575) can reduce 131 to:
% 14.67/3.84 | (995) ~ (all_0_151_151 = e11)
% 14.67/3.84 |
% 14.67/3.84 | Equations (575) can reduce 12 to:
% 14.67/3.84 | (884) ~ (e12 = e11)
% 14.67/3.84 |
% 14.67/3.84 | Simplifying 884 yields:
% 14.67/3.84 | (305) ~ (e12 = e11)
% 14.67/3.84 |
% 14.67/3.84 | From (575)(575) and (657) follows:
% 14.67/3.84 | (998) op1(e11, e11) = e10
% 14.67/3.84 |
% 14.67/3.84 | From (575) and (111) follows:
% 14.67/3.84 | (999) op1(e10, e10) = e11
% 14.67/3.84 |
% 14.67/3.84 +-Applying beta-rule and splitting (287), into two cases.
% 14.67/3.84 |-Branch one:
% 14.67/3.84 | (918) all_0_149_149 = e11
% 14.67/3.84 |
% 14.67/3.84 | Equations (918) can reduce 298 to:
% 14.67/3.84 | (1001) ~ (all_0_151_151 = e11)
% 14.67/3.84 |
% 14.67/3.84 | Simplifying 1001 yields:
% 14.67/3.84 | (995) ~ (all_0_151_151 = e11)
% 14.67/3.84 |
% 14.67/3.84 | Equations (918) can reduce 925 to:
% 14.67/3.84 | (284) ~ (e11 = e10)
% 14.67/3.84 |
% 14.67/3.84 +-Applying beta-rule and splitting (902), into two cases.
% 14.67/3.84 |-Branch one:
% 14.67/3.84 | (903) all_0_149_149 = e10
% 14.67/3.84 |
% 14.67/3.84 | Combining equations (918,903) yields a new equation:
% 14.67/3.84 | (919) e11 = e10
% 14.67/3.84 |
% 14.67/3.84 | Simplifying 919 yields:
% 14.67/3.84 | (920) e11 = e10
% 14.67/3.84 |
% 14.67/3.84 | Equations (920) can reduce 284 to:
% 14.67/3.84 | (422) $false
% 14.67/3.84 |
% 14.67/3.84 |-The branch is then unsatisfiable
% 14.67/3.84 |-Branch two:
% 14.67/3.84 | (925) ~ (all_0_149_149 = e10)
% 14.67/3.84 | (926) all_0_151_151 = e10
% 14.67/3.84 |
% 14.67/3.84 | Equations (926) can reduce 995 to:
% 14.67/3.84 | (910) ~ (e11 = e10)
% 14.67/3.84 |
% 14.67/3.84 | Simplifying 910 yields:
% 14.67/3.84 | (284) ~ (e11 = e10)
% 14.67/3.84 |
% 14.67/3.84 | Instantiating formula (296) with e11, e11, e10, e12 and discharging atoms op1(e11, e11) = e12, op1(e11, e11) = e10, yields:
% 14.67/3.84 | (928) e12 = e10
% 14.67/3.84 |
% 14.67/3.84 | Instantiating formula (296) with e10, e10, e11, e12 and discharging atoms op1(e10, e10) = e12, op1(e10, e10) = e11, yields:
% 14.67/3.84 | (887) e12 = e11
% 14.67/3.84 |
% 14.67/3.84 | Combining equations (887,928) yields a new equation:
% 14.67/3.84 | (919) e11 = e10
% 14.67/3.84 |
% 14.67/3.84 | Simplifying 919 yields:
% 14.67/3.84 | (920) e11 = e10
% 14.67/3.84 |
% 14.67/3.84 | Equations (920) can reduce 284 to:
% 14.67/3.84 | (422) $false
% 14.67/3.84 |
% 14.67/3.84 |-The branch is then unsatisfiable
% 14.67/3.84 |-Branch two:
% 14.67/3.84 | (922) ~ (all_0_149_149 = e11)
% 14.67/3.84 | (1018) all_0_150_150 = e11 | all_0_151_151 = e11
% 14.67/3.84 |
% 14.67/3.84 +-Applying beta-rule and splitting (1018), into two cases.
% 14.67/3.84 |-Branch one:
% 14.67/3.84 | (883) all_0_150_150 = e11
% 14.67/3.84 |
% 14.67/3.84 | Combining equations (890,883) yields a new equation:
% 14.67/3.84 | (1020) e12 = e11
% 14.67/3.84 |
% 14.67/3.84 | Simplifying 1020 yields:
% 14.67/3.84 | (887) e12 = e11
% 14.67/3.84 |
% 14.67/3.84 | Equations (887) can reduce 305 to:
% 14.67/3.84 | (422) $false
% 14.67/3.84 |
% 14.67/3.84 |-The branch is then unsatisfiable
% 14.67/3.84 |-Branch two:
% 14.67/3.84 | (889) ~ (all_0_150_150 = e11)
% 14.67/3.84 | (1024) all_0_151_151 = e11
% 14.67/3.84 |
% 14.67/3.84 | Equations (1024) can reduce 995 to:
% 14.67/3.84 | (422) $false
% 14.67/3.84 |
% 14.67/3.84 |-The branch is then unsatisfiable
% 14.67/3.84 |-Branch two:
% 14.67/3.84 | (905) ~ (all_0_152_152 = e10)
% 14.67/3.84 | (909) all_0_154_154 = e10
% 14.67/3.84 |
% 14.67/3.84 | Equations (909) can reduce 131 to:
% 14.67/3.84 | (1028) ~ (all_0_151_151 = e10)
% 14.67/3.84 |
% 14.67/3.84 | Equations (909) can reduce 548 to:
% 14.67/3.84 | (976) ~ (e13 = e10)
% 14.67/3.84 |
% 14.67/3.84 | Simplifying 976 yields:
% 14.67/3.84 | (176) ~ (e13 = e10)
% 14.67/3.84 |
% 14.67/3.84 | From (909) and (286) follows:
% 14.67/3.85 | (1031) h4(e10) = all_0_12_12
% 14.67/3.85 |
% 14.67/3.85 +-Applying beta-rule and splitting (65), into two cases.
% 14.67/3.85 |-Branch one:
% 14.67/3.85 | (1032) all_0_145_145 = e10
% 14.67/3.85 |
% 14.67/3.85 | Combining equations (1032,596) yields a new equation:
% 14.67/3.85 | (899) e13 = e10
% 14.67/3.85 |
% 14.67/3.85 | Equations (899) can reduce 176 to:
% 14.67/3.85 | (422) $false
% 14.67/3.85 |
% 14.67/3.85 |-The branch is then unsatisfiable
% 14.67/3.85 |-Branch two:
% 14.67/3.85 | (1035) ~ (all_0_145_145 = e10)
% 14.67/3.85 | (1036) all_0_149_149 = e10 | all_0_152_152 = e10
% 14.67/3.85 |
% 14.67/3.85 | Equations (596) can reduce 1035 to:
% 14.67/3.85 | (176) ~ (e13 = e10)
% 14.67/3.85 |
% 14.67/3.85 +-Applying beta-rule and splitting (159), into two cases.
% 14.67/3.85 |-Branch one:
% 14.67/3.85 | (881) all_0_152_152 = e11
% 14.67/3.85 |
% 14.67/3.85 | Equations (881) can reduce 238 to:
% 14.67/3.85 | (922) ~ (all_0_149_149 = e11)
% 14.67/3.85 |
% 14.67/3.85 | Equations (881) can reduce 66 to:
% 14.67/3.85 | (884) ~ (e12 = e11)
% 14.67/3.85 |
% 14.67/3.85 | Simplifying 884 yields:
% 14.67/3.85 | (305) ~ (e12 = e11)
% 14.67/3.85 |
% 14.67/3.85 | From (881) and (204) follows:
% 14.67/3.85 | (1042) h4(e11) = all_0_10_10
% 14.67/3.85 |
% 14.67/3.85 +-Applying beta-rule and splitting (287), into two cases.
% 14.67/3.85 |-Branch one:
% 14.67/3.85 | (918) all_0_149_149 = e11
% 14.67/3.85 |
% 14.67/3.85 | Equations (918) can reduce 922 to:
% 14.67/3.85 | (422) $false
% 14.67/3.85 |
% 14.67/3.85 |-The branch is then unsatisfiable
% 14.67/3.85 |-Branch two:
% 14.67/3.85 | (922) ~ (all_0_149_149 = e11)
% 14.67/3.85 | (1018) all_0_150_150 = e11 | all_0_151_151 = e11
% 14.67/3.85 |
% 14.67/3.85 +-Applying beta-rule and splitting (383), into two cases.
% 14.67/3.85 |-Branch one:
% 14.67/3.85 | (565) all_0_148_148 = e10
% 14.67/3.85 |
% 14.67/3.85 | Combining equations (562,565) yields a new equation:
% 14.67/3.85 | (898) e13 = e10
% 14.67/3.85 |
% 14.67/3.85 | Simplifying 898 yields:
% 14.67/3.85 | (899) e13 = e10
% 14.67/3.85 |
% 14.67/3.85 | Equations (899) can reduce 176 to:
% 14.67/3.85 | (422) $false
% 14.67/3.85 |
% 14.67/3.85 |-The branch is then unsatisfiable
% 14.67/3.85 |-Branch two:
% 14.67/3.85 | (901) ~ (all_0_148_148 = e10)
% 14.67/3.85 | (902) all_0_149_149 = e10 | all_0_151_151 = e10
% 14.67/3.85 |
% 14.67/3.85 +-Applying beta-rule and splitting (902), into two cases.
% 14.67/3.85 |-Branch one:
% 14.67/3.85 | (903) all_0_149_149 = e10
% 14.67/3.85 |
% 14.67/3.85 | From (903) and (166) follows:
% 14.67/3.85 | (1054) h4(e10) = all_0_7_7
% 14.67/3.85 |
% 14.67/3.85 +-Applying beta-rule and splitting (1018), into two cases.
% 14.67/3.85 |-Branch one:
% 14.67/3.85 | (883) all_0_150_150 = e11
% 14.67/3.85 |
% 14.67/3.85 | Combining equations (890,883) yields a new equation:
% 14.67/3.85 | (1020) e12 = e11
% 14.67/3.85 |
% 14.67/3.85 | Simplifying 1020 yields:
% 14.67/3.85 | (887) e12 = e11
% 14.67/3.85 |
% 14.67/3.85 | Equations (887) can reduce 305 to:
% 14.67/3.85 | (422) $false
% 14.67/3.85 |
% 14.67/3.85 |-The branch is then unsatisfiable
% 14.67/3.85 |-Branch two:
% 14.67/3.85 | (889) ~ (all_0_150_150 = e11)
% 14.67/3.85 | (1024) all_0_151_151 = e11
% 14.67/3.85 |
% 14.67/3.85 | From (1024) and (269) follows:
% 14.67/3.85 | (1061) h4(e11) = all_0_9_9
% 14.67/3.85 |
% 14.67/3.85 | Instantiating formula (62) with e11, all_0_9_9, e21 and discharging atoms h4(e11) = all_0_9_9, h4(e11) = e21, yields:
% 14.67/3.85 | (1062) all_0_9_9 = e21
% 14.67/3.85 |
% 14.67/3.85 | Instantiating formula (62) with e11, all_0_10_10, all_0_9_9 and discharging atoms h4(e11) = all_0_9_9, h4(e11) = all_0_10_10, yields:
% 14.67/3.85 | (1063) all_0_9_9 = all_0_10_10
% 14.67/3.85 |
% 14.67/3.85 | Instantiating formula (62) with e10, all_0_7_7, e20 and discharging atoms h4(e10) = all_0_7_7, h4(e10) = e20, yields:
% 14.67/3.85 | (1064) all_0_7_7 = e20
% 14.67/3.85 |
% 14.67/3.85 | Instantiating formula (62) with e10, all_0_12_12, all_0_7_7 and discharging atoms h4(e10) = all_0_7_7, h4(e10) = all_0_12_12, yields:
% 14.67/3.85 | (1065) all_0_7_7 = all_0_12_12
% 14.67/3.85 |
% 14.67/3.85 | Combining equations (1064,1065) yields a new equation:
% 14.67/3.85 | (1066) all_0_12_12 = e20
% 14.67/3.85 |
% 14.67/3.85 | Combining equations (1062,1063) yields a new equation:
% 14.67/3.85 | (1067) all_0_10_10 = e21
% 14.67/3.85 |
% 14.67/3.85 | Combining equations (1067,1063) yields a new equation:
% 14.67/3.85 | (1062) all_0_9_9 = e21
% 14.67/3.85 |
% 14.67/3.85 | Combining equations (1066,1065) yields a new equation:
% 14.67/3.85 | (1064) all_0_7_7 = e20
% 14.67/3.85 |
% 14.67/3.85 +-Applying beta-rule and splitting (89), into two cases.
% 14.67/3.85 |-Branch one:
% 14.67/3.85 | (1070) ~ (all_0_0_0 = all_0_129_129)
% 14.67/3.85 |
% 14.67/3.85 | Equations (677,528) can reduce 1070 to:
% 14.67/3.85 | (422) $false
% 14.67/3.85 |
% 14.67/3.85 |-The branch is then unsatisfiable
% 14.67/3.85 |-Branch two:
% 14.67/3.85 | (1072) all_0_0_0 = all_0_129_129
% 14.67/3.85 | (1073) ~ (all_0_1_1 = all_0_130_130) | ~ (all_0_2_2 = all_0_131_131) | ~ (all_0_3_3 = all_0_132_132) | ~ (all_0_4_4 = all_0_133_133) | ~ (all_0_5_5 = all_0_134_134) | ~ (all_0_6_6 = all_0_135_135) | ~ (all_0_7_7 = all_0_136_136) | ~ (all_0_8_8 = all_0_137_137) | ~ (all_0_9_9 = all_0_138_138) | ~ (all_0_10_10 = all_0_139_139) | ~ (all_0_11_11 = all_0_140_140) | ~ (all_0_12_12 = all_0_141_141)
% 14.67/3.85 |
% 14.67/3.85 +-Applying beta-rule and splitting (1073), into two cases.
% 14.67/3.85 |-Branch one:
% 14.67/3.85 | (1074) ~ (all_0_1_1 = all_0_130_130)
% 14.67/3.85 |
% 14.67/3.86 | Equations (675,516) can reduce 1074 to:
% 14.67/3.86 | (422) $false
% 14.67/3.86 |
% 14.67/3.86 |-The branch is then unsatisfiable
% 14.67/3.86 |-Branch two:
% 14.67/3.86 | (1076) all_0_1_1 = all_0_130_130
% 14.67/3.86 | (1077) ~ (all_0_2_2 = all_0_131_131) | ~ (all_0_3_3 = all_0_132_132) | ~ (all_0_4_4 = all_0_133_133) | ~ (all_0_5_5 = all_0_134_134) | ~ (all_0_6_6 = all_0_135_135) | ~ (all_0_7_7 = all_0_136_136) | ~ (all_0_8_8 = all_0_137_137) | ~ (all_0_9_9 = all_0_138_138) | ~ (all_0_10_10 = all_0_139_139) | ~ (all_0_11_11 = all_0_140_140) | ~ (all_0_12_12 = all_0_141_141)
% 14.67/3.86 |
% 14.67/3.86 +-Applying beta-rule and splitting (1077), into two cases.
% 14.67/3.86 |-Branch one:
% 14.67/3.86 | (1078) ~ (all_0_2_2 = all_0_131_131)
% 14.67/3.86 |
% 14.67/3.86 | Equations (619,420) can reduce 1078 to:
% 14.67/3.86 | (422) $false
% 14.67/3.86 |
% 14.67/3.86 |-The branch is then unsatisfiable
% 14.67/3.86 |-Branch two:
% 14.67/3.86 | (1080) all_0_2_2 = all_0_131_131
% 14.67/3.86 | (1081) ~ (all_0_3_3 = all_0_132_132) | ~ (all_0_4_4 = all_0_133_133) | ~ (all_0_5_5 = all_0_134_134) | ~ (all_0_6_6 = all_0_135_135) | ~ (all_0_7_7 = all_0_136_136) | ~ (all_0_8_8 = all_0_137_137) | ~ (all_0_9_9 = all_0_138_138) | ~ (all_0_10_10 = all_0_139_139) | ~ (all_0_11_11 = all_0_140_140) | ~ (all_0_12_12 = all_0_141_141)
% 14.67/3.86 |
% 14.67/3.86 +-Applying beta-rule and splitting (1081), into two cases.
% 14.67/3.86 |-Branch one:
% 14.67/3.86 | (1082) ~ (all_0_3_3 = all_0_132_132)
% 14.67/3.86 |
% 14.67/3.86 | Equations (679,455) can reduce 1082 to:
% 14.67/3.86 | (422) $false
% 14.67/3.86 |
% 14.67/3.86 |-The branch is then unsatisfiable
% 14.67/3.86 |-Branch two:
% 14.67/3.86 | (1084) all_0_3_3 = all_0_132_132
% 14.67/3.86 | (1085) ~ (all_0_4_4 = all_0_133_133) | ~ (all_0_5_5 = all_0_134_134) | ~ (all_0_6_6 = all_0_135_135) | ~ (all_0_7_7 = all_0_136_136) | ~ (all_0_8_8 = all_0_137_137) | ~ (all_0_9_9 = all_0_138_138) | ~ (all_0_10_10 = all_0_139_139) | ~ (all_0_11_11 = all_0_140_140) | ~ (all_0_12_12 = all_0_141_141)
% 14.67/3.86 |
% 14.67/3.86 +-Applying beta-rule and splitting (1085), into two cases.
% 14.67/3.86 |-Branch one:
% 14.67/3.86 | (1086) ~ (all_0_4_4 = all_0_133_133)
% 14.67/3.86 |
% 14.67/3.86 | Equations (970,690) can reduce 1086 to:
% 14.67/3.86 | (422) $false
% 14.67/3.86 |
% 14.67/3.86 |-The branch is then unsatisfiable
% 14.67/3.86 |-Branch two:
% 14.67/3.86 | (1088) all_0_4_4 = all_0_133_133
% 14.67/3.86 | (1089) ~ (all_0_5_5 = all_0_134_134) | ~ (all_0_6_6 = all_0_135_135) | ~ (all_0_7_7 = all_0_136_136) | ~ (all_0_8_8 = all_0_137_137) | ~ (all_0_9_9 = all_0_138_138) | ~ (all_0_10_10 = all_0_139_139) | ~ (all_0_11_11 = all_0_140_140) | ~ (all_0_12_12 = all_0_141_141)
% 14.67/3.86 |
% 14.67/3.86 +-Applying beta-rule and splitting (1089), into two cases.
% 14.67/3.86 |-Branch one:
% 14.67/3.86 | (1090) ~ (all_0_5_5 = all_0_134_134)
% 14.67/3.86 |
% 14.67/3.86 | Equations (968,754) can reduce 1090 to:
% 14.67/3.86 | (422) $false
% 14.67/3.86 |
% 14.67/3.86 |-The branch is then unsatisfiable
% 14.67/3.86 |-Branch two:
% 14.67/3.86 | (1092) all_0_5_5 = all_0_134_134
% 14.67/3.86 | (1093) ~ (all_0_6_6 = all_0_135_135) | ~ (all_0_7_7 = all_0_136_136) | ~ (all_0_8_8 = all_0_137_137) | ~ (all_0_9_9 = all_0_138_138) | ~ (all_0_10_10 = all_0_139_139) | ~ (all_0_11_11 = all_0_140_140) | ~ (all_0_12_12 = all_0_141_141)
% 14.67/3.86 |
% 14.67/3.86 +-Applying beta-rule and splitting (1093), into two cases.
% 14.67/3.86 |-Branch one:
% 14.67/3.86 | (1094) ~ (all_0_6_6 = all_0_135_135)
% 14.67/3.86 |
% 14.67/3.86 | Equations (618,458) can reduce 1094 to:
% 14.67/3.86 | (422) $false
% 14.67/3.86 |
% 14.67/3.86 |-The branch is then unsatisfiable
% 14.67/3.86 |-Branch two:
% 14.67/3.86 | (1096) all_0_6_6 = all_0_135_135
% 14.67/3.86 | (1097) ~ (all_0_7_7 = all_0_136_136) | ~ (all_0_8_8 = all_0_137_137) | ~ (all_0_9_9 = all_0_138_138) | ~ (all_0_10_10 = all_0_139_139) | ~ (all_0_11_11 = all_0_140_140) | ~ (all_0_12_12 = all_0_141_141)
% 14.67/3.86 |
% 14.67/3.86 +-Applying beta-rule and splitting (1097), into two cases.
% 14.67/3.86 |-Branch one:
% 14.67/3.86 | (1098) ~ (all_0_7_7 = all_0_136_136)
% 14.67/3.86 |
% 14.67/3.86 | Equations (1064,780) can reduce 1098 to:
% 14.67/3.86 | (422) $false
% 14.67/3.86 |
% 14.67/3.86 |-The branch is then unsatisfiable
% 14.67/3.86 |-Branch two:
% 14.67/3.86 | (1100) all_0_7_7 = all_0_136_136
% 14.67/3.86 | (1101) ~ (all_0_8_8 = all_0_137_137) | ~ (all_0_9_9 = all_0_138_138) | ~ (all_0_10_10 = all_0_139_139) | ~ (all_0_11_11 = all_0_140_140) | ~ (all_0_12_12 = all_0_141_141)
% 14.67/3.86 |
% 14.67/3.86 +-Applying beta-rule and splitting (1101), into two cases.
% 14.67/3.86 |-Branch one:
% 14.67/3.86 | (1102) ~ (all_0_8_8 = all_0_137_137)
% 14.67/3.86 |
% 14.67/3.86 | Equations (972,734) can reduce 1102 to:
% 14.67/3.86 | (422) $false
% 14.67/3.86 |
% 14.67/3.86 |-The branch is then unsatisfiable
% 14.67/3.86 |-Branch two:
% 14.67/3.86 | (1104) all_0_8_8 = all_0_137_137
% 14.67/3.86 | (1105) ~ (all_0_9_9 = all_0_138_138) | ~ (all_0_10_10 = all_0_139_139) | ~ (all_0_11_11 = all_0_140_140) | ~ (all_0_12_12 = all_0_141_141)
% 14.67/3.86 |
% 14.67/3.86 +-Applying beta-rule and splitting (1105), into two cases.
% 14.67/3.86 |-Branch one:
% 14.67/3.86 | (1106) ~ (all_0_9_9 = all_0_138_138)
% 14.67/3.86 |
% 14.67/3.86 | Equations (1062,797) can reduce 1106 to:
% 14.67/3.86 | (422) $false
% 14.67/3.86 |
% 14.67/3.86 |-The branch is then unsatisfiable
% 14.67/3.86 |-Branch two:
% 14.67/3.86 | (1108) all_0_9_9 = all_0_138_138
% 14.67/3.86 | (1109) ~ (all_0_10_10 = all_0_139_139) | ~ (all_0_11_11 = all_0_140_140) | ~ (all_0_12_12 = all_0_141_141)
% 14.67/3.86 |
% 14.67/3.86 +-Applying beta-rule and splitting (1109), into two cases.
% 14.67/3.86 |-Branch one:
% 14.67/3.86 | (1110) ~ (all_0_10_10 = all_0_139_139)
% 14.67/3.86 |
% 14.67/3.86 | Equations (1067,709) can reduce 1110 to:
% 14.67/3.86 | (422) $false
% 14.67/3.86 |
% 14.67/3.86 |-The branch is then unsatisfiable
% 14.67/3.86 |-Branch two:
% 14.67/3.86 | (1112) all_0_10_10 = all_0_139_139
% 14.67/3.86 | (1113) ~ (all_0_11_11 = all_0_140_140) | ~ (all_0_12_12 = all_0_141_141)
% 14.67/3.86 |
% 14.67/3.86 +-Applying beta-rule and splitting (1113), into two cases.
% 14.67/3.86 |-Branch one:
% 14.67/3.86 | (1114) ~ (all_0_11_11 = all_0_140_140)
% 14.67/3.86 |
% 14.67/3.86 | Equations (552,407) can reduce 1114 to:
% 14.67/3.86 | (422) $false
% 14.67/3.86 |
% 14.67/3.86 |-The branch is then unsatisfiable
% 14.67/3.86 |-Branch two:
% 14.67/3.86 | (1116) all_0_11_11 = all_0_140_140
% 14.67/3.86 | (1117) ~ (all_0_12_12 = all_0_141_141)
% 14.67/3.86 |
% 14.67/3.86 | Equations (1066,829) can reduce 1117 to:
% 14.67/3.86 | (422) $false
% 14.67/3.86 |
% 14.67/3.86 |-The branch is then unsatisfiable
% 14.67/3.87 |-Branch two:
% 14.67/3.87 | (925) ~ (all_0_149_149 = e10)
% 14.67/3.87 | (926) all_0_151_151 = e10
% 14.67/3.87 |
% 14.67/3.87 | Equations (926) can reduce 1028 to:
% 14.67/3.87 | (422) $false
% 14.67/3.87 |
% 14.67/3.87 |-The branch is then unsatisfiable
% 14.67/3.87 |-Branch two:
% 14.67/3.87 | (892) ~ (all_0_152_152 = e11)
% 14.67/3.87 | (893) all_0_153_153 = e11 | all_0_154_154 = e11
% 14.67/3.87 |
% 14.67/3.87 +-Applying beta-rule and splitting (107), into two cases.
% 14.67/3.87 |-Branch one:
% 14.67/3.87 | (912) all_0_145_145 = e11
% 14.67/3.87 |
% 14.67/3.87 | Combining equations (912,596) yields a new equation:
% 14.67/3.87 | (582) e13 = e11
% 14.67/3.87 |
% 14.67/3.87 | Equations (582) can reduce 358 to:
% 14.67/3.87 | (422) $false
% 14.67/3.87 |
% 14.67/3.87 |-The branch is then unsatisfiable
% 14.67/3.87 |-Branch two:
% 14.67/3.87 | (916) ~ (all_0_145_145 = e11)
% 14.67/3.87 | (917) all_0_149_149 = e11 | all_0_152_152 = e11
% 14.67/3.87 |
% 14.67/3.87 | Equations (596) can reduce 916 to:
% 14.67/3.87 | (358) ~ (e13 = e11)
% 14.67/3.87 |
% 14.67/3.87 +-Applying beta-rule and splitting (893), into two cases.
% 14.67/3.87 |-Branch one:
% 14.67/3.87 | (990) all_0_153_153 = e11
% 14.67/3.87 |
% 14.67/3.87 | Combining equations (545,990) yields a new equation:
% 14.67/3.87 | (913) e13 = e11
% 14.67/3.87 |
% 14.67/3.87 | Simplifying 913 yields:
% 14.67/3.87 | (582) e13 = e11
% 14.67/3.87 |
% 14.67/3.87 | Equations (582) can reduce 358 to:
% 14.67/3.87 | (422) $false
% 14.67/3.87 |
% 14.67/3.87 |-The branch is then unsatisfiable
% 14.67/3.87 |-Branch two:
% 14.67/3.87 | (993) ~ (all_0_153_153 = e11)
% 14.67/3.87 | (575) all_0_154_154 = e11
% 14.67/3.87 |
% 14.67/3.87 | Combining equations (575,909) yields a new equation:
% 14.67/3.87 | (919) e11 = e10
% 14.67/3.87 |
% 14.67/3.87 | Simplifying 919 yields:
% 14.67/3.87 | (920) e11 = e10
% 14.67/3.87 |
% 14.67/3.87 | Equations (920) can reduce 284 to:
% 14.67/3.87 | (422) $false
% 14.67/3.87 |
% 14.67/3.87 |-The branch is then unsatisfiable
% 14.67/3.87 |-Branch two:
% 14.67/3.87 | (1139) ~ (all_0_146_146 = e11)
% 14.67/3.87 | (852) all_0_146_146 = e12
% 14.67/3.87 |
% 14.67/3.87 | Equations (852) can reduce 940 to:
% 14.67/3.87 | (422) $false
% 14.67/3.87 |
% 14.67/3.87 |-The branch is then unsatisfiable
% 14.67/3.87 |-Branch two:
% 14.67/3.87 | (854) ~ (all_0_147_147 = e12)
% 14.67/3.87 | (867) all_0_151_151 = e12
% 14.67/3.87 |
% 14.67/3.87 | Equations (867) can reduce 943 to:
% 14.67/3.87 | (422) $false
% 14.67/3.87 |
% 14.67/3.87 |-The branch is then unsatisfiable
% 14.67/3.87 |-Branch two:
% 14.67/3.87 | (800) ~ (all_0_138_138 = e21)
% 14.67/3.87 | (1146) all_0_138_138 = e22 | all_0_138_138 = e20
% 14.67/3.87 |
% 14.67/3.87 +-Applying beta-rule and splitting (1146), into two cases.
% 14.67/3.87 |-Branch one:
% 14.67/3.87 | (1147) all_0_138_138 = e22
% 14.67/3.87 |
% 14.67/3.87 | Equations (1147) can reduce 756 to:
% 14.67/3.87 | (422) $false
% 14.67/3.87 |
% 14.67/3.87 |-The branch is then unsatisfiable
% 14.67/3.87 |-Branch two:
% 14.67/3.87 | (756) ~ (all_0_138_138 = e22)
% 14.67/3.87 | (783) all_0_138_138 = e20
% 14.67/3.87 |
% 14.67/3.87 | Equations (783) can reduce 830 to:
% 14.67/3.87 | (422) $false
% 14.67/3.87 |
% 14.67/3.87 |-The branch is then unsatisfiable
% 14.67/3.87 |-Branch two:
% 14.67/3.87 | (763) ~ (all_0_136_136 = e20)
% 14.67/3.87 | (783) all_0_138_138 = e20
% 14.67/3.87 |
% 14.67/3.87 | Equations (783) can reduce 830 to:
% 14.67/3.87 | (422) $false
% 14.67/3.87 |
% 14.67/3.87 |-The branch is then unsatisfiable
% 14.67/3.87 |-Branch two:
% 14.67/3.87 | (724) ~ (all_0_139_139 = e21)
% 14.67/3.87 | (762) all_0_139_139 = e20
% 14.67/3.87 |
% 14.67/3.87 | Equations (762) can reduce 828 to:
% 14.67/3.87 | (422) $false
% 14.67/3.87 |
% 14.67/3.87 |-The branch is then unsatisfiable
% 14.67/3.87 |-Branch two:
% 14.67/3.87 | (1158) ~ (all_0_134_134 = e22)
% 14.67/3.87 | (1159) all_0_134_134 = e20
% 14.67/3.87 |
% 14.67/3.87 | Equations (1159) can reduce 471 to:
% 14.67/3.87 | (422) $false
% 14.67/3.87 |
% 14.67/3.87 |-The branch is then unsatisfiable
% 14.67/3.87 |-Branch two:
% 14.67/3.87 | (694) ~ (all_0_133_133 = e21)
% 14.67/3.87 | (1162) all_0_137_137 = e21 | all_0_140_140 = e21
% 14.67/3.87 |
% 14.67/3.87 +-Applying beta-rule and splitting (1162), into two cases.
% 14.67/3.87 |-Branch one:
% 14.67/3.87 | (702) all_0_137_137 = e21
% 14.67/3.87 |
% 14.67/3.88 | Combining equations (734,702) yields a new equation:
% 14.67/3.88 | (691) e22 = e21
% 14.67/3.88 |
% 14.67/3.88 | Simplifying 691 yields:
% 14.67/3.88 | (692) e22 = e21
% 14.67/3.88 |
% 14.67/3.88 | Equations (692) can reduce 219 to:
% 14.67/3.88 | (422) $false
% 14.67/3.88 |
% 14.67/3.88 |-The branch is then unsatisfiable
% 14.67/3.88 |-Branch two:
% 14.67/3.88 | (733) ~ (all_0_137_137 = e21)
% 14.67/3.88 | (726) all_0_140_140 = e21
% 14.67/3.88 |
% 14.67/3.88 | Combining equations (407,726) yields a new equation:
% 14.67/3.88 | (685) e23 = e21
% 14.67/3.88 |
% 14.67/3.88 | Simplifying 685 yields:
% 14.67/3.88 | (441) e23 = e21
% 14.67/3.88 |
% 14.67/3.88 | Equations (441) can reduce 264 to:
% 14.67/3.88 | (422) $false
% 14.67/3.88 |
% 14.67/3.88 |-The branch is then unsatisfiable
% 14.67/3.88 |-Branch two:
% 14.67/3.88 | (1172) ~ (all_0_143_143 = e13)
% 14.67/3.88 | (858) all_0_143_143 = e12
% 14.67/3.88 |
% 14.67/3.88 | Equations (858) can reduce 664 to:
% 14.67/3.88 | (422) $false
% 14.67/3.88 |
% 14.67/3.88 |-The branch is then unsatisfiable
% 14.67/3.88 |-Branch two:
% 14.67/3.88 | (1175) ~ (all_0_153_153 = e13)
% 14.67/3.88 | (990) all_0_153_153 = e11
% 14.67/3.88 |
% 14.67/3.88 | Equations (990) can reduce 6 to:
% 14.67/3.88 | (1139) ~ (all_0_146_146 = e11)
% 14.67/3.88 |
% 14.67/3.88 | Equations (990) can reduce 254 to:
% 14.67/3.88 | (889) ~ (all_0_150_150 = e11)
% 14.67/3.88 |
% 14.67/3.88 | Equations (990) can reduce 222 to:
% 14.67/3.88 | (892) ~ (all_0_152_152 = e11)
% 14.67/3.88 |
% 14.67/3.88 | From (990)(990) and (208) follows:
% 14.67/3.88 | (1180) op1(e11, e11) = all_0_127_127
% 14.67/3.88 |
% 14.67/3.88 | Instantiating formula (296) with e11, e11, all_0_127_127, all_0_150_150 and discharging atoms op1(e11, e11) = all_0_127_127, op1(e11, e11) = all_0_150_150, yields:
% 14.67/3.88 | (1181) all_0_127_127 = all_0_150_150
% 14.67/3.88 |
% 14.67/3.88 | From (1181) and (1180) follows:
% 14.67/3.88 | (304) op1(e11, e11) = all_0_150_150
% 14.67/3.88 |
% 14.67/3.88 +-Applying beta-rule and splitting (19), into two cases.
% 14.67/3.88 |-Branch one:
% 14.67/3.88 | (659) all_0_142_142 = e13
% 14.67/3.88 |
% 14.67/3.88 | Equations (659) can reduce 84 to:
% 14.67/3.88 | (1184) ~ (all_0_143_143 = e13)
% 14.67/3.88 |
% 14.67/3.88 | Simplifying 1184 yields:
% 14.67/3.88 | (1172) ~ (all_0_143_143 = e13)
% 14.67/3.88 |
% 14.67/3.88 | Equations (659) can reduce 326 to:
% 14.67/3.88 | (556) ~ (all_0_145_145 = e13)
% 14.67/3.88 |
% 14.67/3.88 | Simplifying 556 yields:
% 14.67/3.88 | (557) ~ (all_0_145_145 = e13)
% 14.67/3.88 |
% 14.67/3.88 | Equations (659) can reduce 73 to:
% 14.67/3.88 | (1188) ~ (all_0_149_149 = e13)
% 14.67/3.88 |
% 14.67/3.88 | Simplifying 1188 yields:
% 14.67/3.88 | (1189) ~ (all_0_149_149 = e13)
% 14.67/3.88 |
% 14.67/3.88 | Equations (659) can reduce 160 to:
% 14.67/3.88 | (654) ~ (all_0_152_152 = e13)
% 14.67/3.88 |
% 14.67/3.88 | Simplifying 654 yields:
% 14.67/3.88 | (655) ~ (all_0_152_152 = e13)
% 14.67/3.88 |
% 14.67/3.88 | Equations (659) can reduce 10 to:
% 14.67/3.88 | (358) ~ (e13 = e11)
% 14.67/3.88 |
% 14.67/3.88 | From (659)(659) and (98) follows:
% 14.67/3.88 | (1193) op1(e13, e13) = all_0_116_116
% 14.67/3.88 |
% 14.67/3.88 +-Applying beta-rule and splitting (174), into two cases.
% 14.67/3.88 |-Branch one:
% 14.67/3.88 | (1194) all_0_152_152 = e13
% 14.67/3.88 |
% 14.67/3.88 | Equations (1194) can reduce 655 to:
% 14.67/3.88 | (422) $false
% 14.67/3.88 |
% 14.67/3.88 |-The branch is then unsatisfiable
% 14.67/3.88 |-Branch two:
% 14.67/3.88 | (655) ~ (all_0_152_152 = e13)
% 14.67/3.88 | (1197) all_0_152_152 = e11 | all_0_152_152 = e10
% 14.67/3.88 |
% 14.67/3.88 +-Applying beta-rule and splitting (1197), into two cases.
% 14.67/3.88 |-Branch one:
% 14.67/3.88 | (881) all_0_152_152 = e11
% 14.67/3.88 |
% 14.67/3.88 | Equations (881) can reduce 892 to:
% 14.67/3.88 | (422) $false
% 14.67/3.88 |
% 14.67/3.88 |-The branch is then unsatisfiable
% 14.67/3.88 |-Branch two:
% 14.67/3.88 | (892) ~ (all_0_152_152 = e11)
% 14.67/3.88 | (906) all_0_152_152 = e10
% 14.67/3.88 |
% 14.67/3.88 | Equations (906) can reduce 655 to:
% 14.67/3.88 | (976) ~ (e13 = e10)
% 14.67/3.88 |
% 14.67/3.88 | Simplifying 976 yields:
% 14.67/3.88 | (176) ~ (e13 = e10)
% 14.67/3.88 |
% 14.67/3.88 | From (906)(906) and (100) follows:
% 14.67/3.88 | (1204) op1(e10, e10) = all_0_126_126
% 14.67/3.88 |
% 14.67/3.88 +-Applying beta-rule and splitting (80), into two cases.
% 14.67/3.88 |-Branch one:
% 14.67/3.88 | (1194) all_0_152_152 = e13
% 14.67/3.88 |
% 14.67/3.88 | Combining equations (906,1194) yields a new equation:
% 14.67/3.88 | (899) e13 = e10
% 14.67/3.88 |
% 14.67/3.88 | Equations (899) can reduce 176 to:
% 14.67/3.88 | (422) $false
% 14.67/3.88 |
% 14.67/3.88 |-The branch is then unsatisfiable
% 14.67/3.88 |-Branch two:
% 14.67/3.88 | (655) ~ (all_0_152_152 = e13)
% 14.67/3.88 | (1209) all_0_153_153 = e13 | all_0_154_154 = e13
% 14.67/3.88 |
% 14.67/3.88 +-Applying beta-rule and splitting (374), into two cases.
% 14.67/3.88 |-Branch one:
% 14.67/3.88 | (668) all_0_143_143 = e13
% 14.67/3.88 |
% 14.67/3.88 | Equations (668) can reduce 1172 to:
% 14.67/3.88 | (422) $false
% 14.67/3.88 |
% 14.67/3.88 |-The branch is then unsatisfiable
% 14.67/3.88 |-Branch two:
% 14.67/3.88 | (1172) ~ (all_0_143_143 = e13)
% 14.67/3.88 | (858) all_0_143_143 = e12
% 14.67/3.88 |
% 14.67/3.88 | Equations (858) can reduce 118 to:
% 14.67/3.88 | (853) ~ (all_0_147_147 = e12)
% 14.67/3.88 |
% 14.67/3.88 | Simplifying 853 yields:
% 14.67/3.88 | (854) ~ (all_0_147_147 = e12)
% 14.67/3.88 |
% 14.67/3.88 | Equations (858) can reduce 386 to:
% 14.67/3.88 | (942) ~ (all_0_151_151 = e12)
% 14.67/3.88 |
% 14.67/3.88 | Simplifying 942 yields:
% 14.67/3.88 | (943) ~ (all_0_151_151 = e12)
% 14.67/3.88 |
% 14.67/3.88 | From (858)(858) and (23) follows:
% 14.67/3.89 | (1218) op1(e12, e12) = all_0_117_117
% 14.67/3.89 |
% 14.67/3.89 +-Applying beta-rule and splitting (1209), into two cases.
% 14.67/3.89 |-Branch one:
% 14.67/3.89 | (545) all_0_153_153 = e13
% 14.67/3.89 |
% 14.67/3.89 | Combining equations (545,990) yields a new equation:
% 14.67/3.89 | (913) e13 = e11
% 14.67/3.89 |
% 14.67/3.89 | Simplifying 913 yields:
% 14.67/3.89 | (582) e13 = e11
% 14.67/3.89 |
% 14.67/3.89 | Equations (582) can reduce 358 to:
% 14.67/3.89 | (422) $false
% 14.67/3.89 |
% 14.67/3.89 |-The branch is then unsatisfiable
% 14.67/3.89 |-Branch two:
% 14.67/3.89 | (1175) ~ (all_0_153_153 = e13)
% 14.67/3.89 | (590) all_0_154_154 = e13
% 14.67/3.89 |
% 14.67/3.89 | Equations (590) can reduce 104 to:
% 14.67/3.89 | (670) ~ (all_0_147_147 = e13)
% 14.67/3.89 |
% 14.67/3.89 | Equations (590) can reduce 131 to:
% 14.67/3.89 | (1226) ~ (all_0_151_151 = e13)
% 14.67/3.89 |
% 14.67/3.89 | From (590)(590) and (37) follows:
% 14.67/3.89 | (1227) op1(e13, e13) = all_0_128_128
% 14.67/3.89 |
% 14.67/3.89 | From (590) and (111) follows:
% 14.67/3.89 | (1228) op1(e10, e10) = e13
% 14.67/3.89 |
% 14.67/3.89 | Instantiating formula (296) with e13, e13, all_0_116_116, e11 and discharging atoms op1(e13, e13) = all_0_116_116, op1(e13, e13) = e11, yields:
% 14.67/3.89 | (1229) all_0_116_116 = e11
% 14.67/3.89 |
% 14.67/3.89 | Instantiating formula (296) with e13, e13, all_0_128_128, all_0_116_116 and discharging atoms op1(e13, e13) = all_0_116_116, op1(e13, e13) = all_0_128_128, yields:
% 14.67/3.89 | (1230) all_0_116_116 = all_0_128_128
% 14.67/3.89 |
% 14.67/3.89 | Instantiating formula (296) with e12, e12, all_0_117_117, all_0_145_145 and discharging atoms op1(e12, e12) = all_0_117_117, op1(e12, e12) = all_0_145_145, yields:
% 14.67/3.89 | (1231) all_0_117_117 = all_0_145_145
% 14.67/3.89 |
% 14.67/3.89 | Instantiating formula (296) with e10, e10, e13, all_0_126_126 and discharging atoms op1(e10, e10) = all_0_126_126, op1(e10, e10) = e13, yields:
% 14.67/3.89 | (1232) all_0_126_126 = e13
% 14.67/3.89 |
% 14.67/3.89 | Combining equations (1230,1229) yields a new equation:
% 14.67/3.89 | (1233) all_0_128_128 = e11
% 14.67/3.89 |
% 14.67/3.89 | Simplifying 1233 yields:
% 14.67/3.89 | (1234) all_0_128_128 = e11
% 14.67/3.89 |
% 14.67/3.89 | From (1234) and (1227) follows:
% 14.67/3.89 | (248) op1(e13, e13) = e11
% 14.67/3.89 |
% 14.67/3.89 | From (1231) and (1218) follows:
% 14.67/3.89 | (170) op1(e12, e12) = all_0_145_145
% 14.67/3.89 |
% 14.67/3.89 | From (1232) and (1204) follows:
% 14.67/3.89 | (1228) op1(e10, e10) = e13
% 14.67/3.89 |
% 14.67/3.89 +-Applying beta-rule and splitting (194), into two cases.
% 14.67/3.89 |-Branch one:
% 14.67/3.89 | (562) all_0_148_148 = e13
% 14.67/3.89 |
% 14.67/3.89 | Equations (562) can reduce 122 to:
% 14.67/3.89 | (598) ~ (all_0_144_144 = e13)
% 14.67/3.89 |
% 14.67/3.89 | Equations (562) can reduce 189 to:
% 14.67/3.89 | (1188) ~ (all_0_149_149 = e13)
% 14.67/3.89 |
% 14.67/3.89 | Simplifying 1188 yields:
% 14.67/3.89 | (1189) ~ (all_0_149_149 = e13)
% 14.67/3.89 |
% 14.67/3.89 | Equations (562) can reduce 52 to:
% 14.67/3.89 | (601) ~ (all_0_150_150 = e13)
% 14.67/3.89 |
% 14.67/3.89 | Simplifying 601 yields:
% 14.67/3.89 | (546) ~ (all_0_150_150 = e13)
% 14.67/3.89 |
% 14.67/3.89 | Equations (562) can reduce 14 to:
% 14.67/3.89 | (1244) ~ (all_0_151_151 = e13)
% 14.67/3.89 |
% 14.67/3.89 | Simplifying 1244 yields:
% 14.67/3.89 | (1226) ~ (all_0_151_151 = e13)
% 14.67/3.89 |
% 14.67/3.89 | Equations (562) can reduce 64 to:
% 14.67/3.89 | (277) ~ (e13 = e12)
% 14.67/3.89 |
% 14.67/3.89 | From (562)(562) and (324) follows:
% 14.67/3.89 | (604) op1(e13, e13) = all_0_122_122
% 14.67/3.89 |
% 14.67/3.89 +-Applying beta-rule and splitting (46), into two cases.
% 14.67/3.89 |-Branch one:
% 14.67/3.89 | (555) all_0_144_144 = e13
% 14.67/3.89 |
% 14.67/3.89 | Equations (555) can reduce 598 to:
% 14.67/3.89 | (422) $false
% 14.67/3.89 |
% 14.67/3.89 |-The branch is then unsatisfiable
% 14.67/3.89 |-Branch two:
% 14.67/3.89 | (598) ~ (all_0_144_144 = e13)
% 14.67/3.89 | (609) all_0_144_144 = e10
% 14.67/3.89 |
% 14.67/3.89 | Equations (609) can reduce 169 to:
% 14.67/3.89 | (1252) ~ (all_0_145_145 = e10)
% 14.67/3.89 |
% 14.67/3.89 | Simplifying 1252 yields:
% 14.67/3.89 | (1035) ~ (all_0_145_145 = e10)
% 14.67/3.89 |
% 14.67/3.89 | Equations (609) can reduce 9 to:
% 14.67/3.89 | (612) ~ (all_0_147_147 = e10)
% 14.67/3.89 |
% 14.67/3.89 | Simplifying 612 yields:
% 14.67/3.89 | (613) ~ (all_0_147_147 = e10)
% 14.67/3.89 |
% 14.67/3.89 | Equations (609) can reduce 598 to:
% 14.67/3.89 | (976) ~ (e13 = e10)
% 14.67/3.89 |
% 14.67/3.89 | Simplifying 976 yields:
% 14.67/3.89 | (176) ~ (e13 = e10)
% 14.67/3.89 |
% 14.67/3.89 | Equations (609) can reduce 29 to:
% 14.67/3.89 | (910) ~ (e11 = e10)
% 14.67/3.89 |
% 14.67/3.89 | Simplifying 910 yields:
% 14.67/3.89 | (284) ~ (e11 = e10)
% 14.67/3.89 |
% 14.67/3.89 | From (609)(609) and (301) follows:
% 14.67/3.89 | (614) op1(e10, e10) = all_0_118_118
% 14.67/3.89 |
% 14.67/3.89 +-Applying beta-rule and splitting (380), into two cases.
% 14.67/3.89 |-Branch one:
% 14.67/3.89 | (938) all_0_147_147 = e10
% 14.67/3.89 |
% 14.67/3.89 | Equations (938) can reduce 613 to:
% 14.67/3.89 | (422) $false
% 14.67/3.89 |
% 14.67/3.89 |-The branch is then unsatisfiable
% 14.67/3.89 |-Branch two:
% 14.67/3.89 | (613) ~ (all_0_147_147 = e10)
% 14.67/3.89 | (1264) all_0_151_151 = e10 | all_0_154_154 = e10
% 14.67/3.89 |
% 14.67/3.89 +-Applying beta-rule and splitting (1264), into two cases.
% 14.67/3.89 |-Branch one:
% 14.67/3.89 | (926) all_0_151_151 = e10
% 14.67/3.89 |
% 14.67/3.89 | Equations (926) can reduce 354 to:
% 14.67/3.89 | (613) ~ (all_0_147_147 = e10)
% 14.67/3.89 |
% 14.67/3.89 | Equations (926) can reduce 298 to:
% 14.67/3.89 | (925) ~ (all_0_149_149 = e10)
% 14.67/3.89 |
% 14.67/3.89 | Equations (926) can reduce 1226 to:
% 14.67/3.89 | (976) ~ (e13 = e10)
% 14.67/3.89 |
% 14.67/3.89 | Simplifying 976 yields:
% 14.67/3.89 | (176) ~ (e13 = e10)
% 14.67/3.89 |
% 14.67/3.89 | From (926)(926) and (282) follows:
% 14.67/3.89 | (1270) op1(e10, e10) = all_0_125_125
% 14.67/3.89 |
% 14.67/3.89 +-Applying beta-rule and splitting (332), into two cases.
% 14.67/3.89 |-Branch one:
% 14.67/3.89 | (555) all_0_144_144 = e13
% 14.67/3.89 |
% 14.67/3.90 | Combining equations (555,609) yields a new equation:
% 14.67/3.90 | (898) e13 = e10
% 14.67/3.90 |
% 14.67/3.90 | Simplifying 898 yields:
% 14.67/3.90 | (899) e13 = e10
% 14.67/3.90 |
% 14.67/3.90 | Equations (899) can reduce 176 to:
% 14.67/3.90 | (422) $false
% 14.67/3.90 |
% 14.67/3.90 |-The branch is then unsatisfiable
% 14.67/3.90 |-Branch two:
% 14.67/3.90 | (598) ~ (all_0_144_144 = e13)
% 14.67/3.90 | (1276) all_0_145_145 = e13 | all_0_146_146 = e13 | all_0_147_147 = e13
% 14.67/3.90 |
% 14.67/3.90 +-Applying beta-rule and splitting (69), into two cases.
% 14.67/3.90 |-Branch one:
% 14.67/3.90 | (874) all_0_147_147 = e11
% 14.67/3.90 |
% 14.67/3.90 | Equations (874) can reduce 378 to:
% 14.67/3.90 | (916) ~ (all_0_145_145 = e11)
% 14.67/3.90 |
% 14.67/3.90 | Equations (874) can reduce 670 to:
% 14.67/3.90 | (895) ~ (e13 = e11)
% 14.67/3.90 |
% 14.67/3.90 | Simplifying 895 yields:
% 14.67/3.90 | (358) ~ (e13 = e11)
% 14.67/3.90 |
% 14.67/3.90 | Equations (874) can reduce 613 to:
% 14.67/3.90 | (284) ~ (e11 = e10)
% 14.67/3.90 |
% 14.67/3.90 | From (874)(874) and (352) follows:
% 14.67/3.90 | (1282) op1(e11, e11) = all_0_121_121
% 14.67/3.90 |
% 14.67/3.90 +-Applying beta-rule and splitting (1276), into two cases.
% 14.67/3.90 |-Branch one:
% 14.67/3.90 | (596) all_0_145_145 = e13
% 14.67/3.90 |
% 14.67/3.90 | Equations (596) can reduce 557 to:
% 14.67/3.90 | (422) $false
% 14.67/3.90 |
% 14.67/3.90 |-The branch is then unsatisfiable
% 14.67/3.90 |-Branch two:
% 14.67/3.90 | (557) ~ (all_0_145_145 = e13)
% 14.67/3.90 | (1286) all_0_146_146 = e13 | all_0_147_147 = e13
% 14.67/3.90 |
% 14.67/3.90 +-Applying beta-rule and splitting (1286), into two cases.
% 14.67/3.90 |-Branch one:
% 14.67/3.90 | (959) all_0_146_146 = e13
% 14.67/3.90 |
% 14.67/3.90 | Equations (959) can reduce 338 to:
% 14.67/3.90 | (601) ~ (all_0_150_150 = e13)
% 14.67/3.90 |
% 14.67/3.90 | Simplifying 601 yields:
% 14.67/3.90 | (546) ~ (all_0_150_150 = e13)
% 14.67/3.90 |
% 14.67/3.90 | From (959)(959) and (315) follows:
% 15.02/3.90 | (1290) op1(e13, e13) = all_0_120_120
% 15.02/3.90 |
% 15.02/3.90 +-Applying beta-rule and splitting (198), into two cases.
% 15.02/3.90 |-Branch one:
% 15.02/3.90 | (852) all_0_146_146 = e12
% 15.02/3.90 |
% 15.02/3.90 | Combining equations (959,852) yields a new equation:
% 15.02/3.90 | (859) e13 = e12
% 15.02/3.90 |
% 15.02/3.90 | Simplifying 859 yields:
% 15.02/3.90 | (860) e13 = e12
% 15.02/3.90 |
% 15.02/3.90 | Equations (860) can reduce 277 to:
% 15.02/3.90 | (422) $false
% 15.02/3.90 |
% 15.02/3.90 |-The branch is then unsatisfiable
% 15.02/3.90 |-Branch two:
% 15.02/3.90 | (940) ~ (all_0_146_146 = e12)
% 15.02/3.90 | (890) all_0_150_150 = e12
% 15.02/3.90 |
% 15.02/3.90 | Equations (890) can reduce 356 to:
% 15.02/3.90 | (1297) ~ (all_0_149_149 = e12)
% 15.02/3.90 |
% 15.02/3.90 | Equations (890) can reduce 546 to:
% 15.02/3.90 | (855) ~ (e13 = e12)
% 15.02/3.90 |
% 15.02/3.90 | Simplifying 855 yields:
% 15.02/3.90 | (277) ~ (e13 = e12)
% 15.02/3.90 |
% 15.02/3.90 | From (890) and (304) follows:
% 15.02/3.90 | (882) op1(e11, e11) = e12
% 15.02/3.90 |
% 15.02/3.90 +-Applying beta-rule and splitting (287), into two cases.
% 15.02/3.90 |-Branch one:
% 15.02/3.90 | (918) all_0_149_149 = e11
% 15.02/3.90 |
% 15.02/3.90 | Equations (918) can reduce 1297 to:
% 15.02/3.90 | (884) ~ (e12 = e11)
% 15.02/3.90 |
% 15.02/3.90 | Simplifying 884 yields:
% 15.02/3.90 | (305) ~ (e12 = e11)
% 15.02/3.90 |
% 15.02/3.90 | Equations (918) can reduce 925 to:
% 15.02/3.90 | (284) ~ (e11 = e10)
% 15.02/3.90 |
% 15.02/3.90 +-Applying beta-rule and splitting (75), into two cases.
% 15.02/3.90 |-Branch one:
% 15.02/3.90 | (1305) all_0_145_145 = e12
% 15.02/3.90 |
% 15.02/3.90 | Combining equations (1305,1231) yields a new equation:
% 15.02/3.90 | (1306) all_0_117_117 = e12
% 15.02/3.90 |
% 15.02/3.90 | Equations (1305) can reduce 1035 to:
% 15.02/3.90 | (149) ~ (e12 = e10)
% 15.02/3.90 |
% 15.02/3.90 | Instantiating formula (296) with e13, e13, all_0_120_120, e11 and discharging atoms op1(e13, e13) = all_0_120_120, op1(e13, e13) = e11, yields:
% 15.02/3.90 | (580) all_0_120_120 = e11
% 15.02/3.90 |
% 15.02/3.90 | Instantiating formula (296) with e13, e13, all_0_122_122, all_0_120_120 and discharging atoms op1(e13, e13) = all_0_120_120, op1(e13, e13) = all_0_122_122, yields:
% 15.02/3.90 | (1309) all_0_120_120 = all_0_122_122
% 15.02/3.90 |
% 15.02/3.90 | Instantiating formula (296) with e11, e11, e12, all_0_121_121 and discharging atoms op1(e11, e11) = all_0_121_121, op1(e11, e11) = e12, yields:
% 15.02/3.90 | (1310) all_0_121_121 = e12
% 15.02/3.90 |
% 15.02/3.90 | Instantiating formula (296) with e10, e10, all_0_118_118, e13 and discharging atoms op1(e10, e10) = all_0_118_118, op1(e10, e10) = e13, yields:
% 15.02/3.90 | (578) all_0_118_118 = e13
% 15.02/3.90 |
% 15.02/3.90 | Instantiating formula (296) with e10, e10, all_0_125_125, all_0_118_118 and discharging atoms op1(e10, e10) = all_0_118_118, op1(e10, e10) = all_0_125_125, yields:
% 15.02/3.90 | (1312) all_0_118_118 = all_0_125_125
% 15.02/3.90 |
% 15.02/3.90 | Combining equations (1312,578) yields a new equation:
% 15.02/3.90 | (1313) all_0_125_125 = e13
% 15.02/3.90 |
% 15.02/3.90 | Simplifying 1313 yields:
% 15.02/3.90 | (1314) all_0_125_125 = e13
% 15.02/3.90 |
% 15.02/3.90 | Combining equations (1309,580) yields a new equation:
% 15.02/3.90 | (1315) all_0_122_122 = e11
% 15.02/3.90 |
% 15.02/3.90 | Simplifying 1315 yields:
% 15.02/3.90 | (616) all_0_122_122 = e11
% 15.02/3.90 |
% 15.02/3.90 +-Applying beta-rule and splitting (293), into two cases.
% 15.02/3.90 |-Branch one:
% 15.02/3.90 | (569) (all_0_116_116 = e12 & all_0_117_117 = e10 & all_0_150_150 = e13 & all_0_154_154 = e11) | (all_0_118_118 = e13 & all_0_119_119 = e12 & all_0_120_120 = e11 & all_0_121_121 = e10) | (all_0_122_122 = e13 & all_0_123_123 = e12 & all_0_124_124 = e11 & all_0_125_125 = e10)
% 15.02/3.90 |
% 15.02/3.90 +-Applying beta-rule and splitting (569), into two cases.
% 15.02/3.90 |-Branch one:
% 15.02/3.90 | (570) (all_0_116_116 = e12 & all_0_117_117 = e10 & all_0_150_150 = e13 & all_0_154_154 = e11) | (all_0_118_118 = e13 & all_0_119_119 = e12 & all_0_120_120 = e11 & all_0_121_121 = e10)
% 15.02/3.90 |
% 15.02/3.90 +-Applying beta-rule and splitting (570), into two cases.
% 15.02/3.90 |-Branch one:
% 15.02/3.90 | (571) all_0_116_116 = e12 & all_0_117_117 = e10 & all_0_150_150 = e13 & all_0_154_154 = e11
% 15.02/3.90 |
% 15.02/3.90 | Applying alpha-rule on (571) yields:
% 15.02/3.90 | (572) all_0_116_116 = e12
% 15.02/3.90 | (573) all_0_117_117 = e10
% 15.02/3.90 | (574) all_0_150_150 = e13
% 15.02/3.90 | (575) all_0_154_154 = e11
% 15.02/3.90 |
% 15.02/3.90 | Combining equations (573,1306) yields a new equation:
% 15.02/3.91 | (928) e12 = e10
% 15.02/3.91 |
% 15.02/3.91 | Combining equations (890,574) yields a new equation:
% 15.02/3.91 | (860) e13 = e12
% 15.02/3.91 |
% 15.02/3.91 | Combining equations (590,575) yields a new equation:
% 15.02/3.91 | (913) e13 = e11
% 15.02/3.91 |
% 15.02/3.91 | Simplifying 913 yields:
% 15.02/3.91 | (582) e13 = e11
% 15.02/3.91 |
% 15.02/3.91 | Combining equations (582,860) yields a new equation:
% 15.02/3.91 | (887) e12 = e11
% 15.02/3.91 |
% 15.02/3.91 | Combining equations (928,887) yields a new equation:
% 15.02/3.91 | (920) e11 = e10
% 15.02/3.91 |
% 15.02/3.91 | Equations (920) can reduce 284 to:
% 15.02/3.91 | (422) $false
% 15.02/3.91 |
% 15.02/3.91 |-The branch is then unsatisfiable
% 15.02/3.91 |-Branch two:
% 15.02/3.91 | (577) all_0_118_118 = e13 & all_0_119_119 = e12 & all_0_120_120 = e11 & all_0_121_121 = e10
% 15.02/3.91 |
% 15.02/3.91 | Applying alpha-rule on (577) yields:
% 15.02/3.91 | (578) all_0_118_118 = e13
% 15.02/3.91 | (579) all_0_119_119 = e12
% 15.02/3.91 | (580) all_0_120_120 = e11
% 15.02/3.91 | (581) all_0_121_121 = e10
% 15.02/3.91 |
% 15.02/3.91 | Combining equations (581,1310) yields a new equation:
% 15.02/3.91 | (928) e12 = e10
% 15.02/3.91 |
% 15.02/3.91 | Equations (928) can reduce 149 to:
% 15.02/3.91 | (422) $false
% 15.02/3.91 |
% 15.02/3.91 |-The branch is then unsatisfiable
% 15.02/3.91 |-Branch two:
% 15.02/3.91 | (584) all_0_122_122 = e13 & all_0_123_123 = e12 & all_0_124_124 = e11 & all_0_125_125 = e10
% 15.02/3.91 |
% 15.02/3.91 | Applying alpha-rule on (584) yields:
% 15.02/3.91 | (585) all_0_122_122 = e13
% 15.02/3.91 | (586) all_0_123_123 = e12
% 15.02/3.91 | (587) all_0_124_124 = e11
% 15.02/3.91 | (588) all_0_125_125 = e10
% 15.02/3.91 |
% 15.02/3.91 | Combining equations (616,585) yields a new equation:
% 15.02/3.91 | (582) e13 = e11
% 15.02/3.91 |
% 15.02/3.91 | Combining equations (588,1314) yields a new equation:
% 15.02/3.91 | (899) e13 = e10
% 15.02/3.91 |
% 15.02/3.91 | Combining equations (899,582) yields a new equation:
% 15.02/3.91 | (920) e11 = e10
% 15.02/3.91 |
% 15.02/3.91 | Equations (920) can reduce 284 to:
% 15.02/3.91 | (422) $false
% 15.02/3.91 |
% 15.02/3.91 |-The branch is then unsatisfiable
% 15.02/3.91 |-Branch two:
% 15.02/3.91 | (592) all_0_126_126 = e12 & all_0_127_127 = e11 & all_0_128_128 = e10 & all_0_145_145 = e13
% 15.02/3.91 |
% 15.02/3.91 | Applying alpha-rule on (592) yields:
% 15.02/3.91 | (593) all_0_126_126 = e12
% 15.02/3.91 | (551) all_0_127_127 = e11
% 15.02/3.91 | (595) all_0_128_128 = e10
% 15.02/3.91 | (596) all_0_145_145 = e13
% 15.02/3.91 |
% 15.02/3.91 | Combining equations (1234,595) yields a new equation:
% 15.02/3.91 | (919) e11 = e10
% 15.02/3.91 |
% 15.02/3.91 | Simplifying 919 yields:
% 15.02/3.91 | (920) e11 = e10
% 15.02/3.91 |
% 15.02/3.91 | Equations (920) can reduce 284 to:
% 15.02/3.91 | (422) $false
% 15.02/3.91 |
% 15.02/3.91 |-The branch is then unsatisfiable
% 15.02/3.91 |-Branch two:
% 15.02/3.91 | (1355) ~ (all_0_145_145 = e12)
% 15.02/3.91 | (1356) all_0_146_146 = e12 | all_0_147_147 = e12
% 15.02/3.91 |
% 15.02/3.91 +-Applying beta-rule and splitting (1356), into two cases.
% 15.02/3.91 |-Branch one:
% 15.02/3.91 | (852) all_0_146_146 = e12
% 15.02/3.91 |
% 15.02/3.91 | Combining equations (959,852) yields a new equation:
% 15.02/3.91 | (859) e13 = e12
% 15.02/3.91 |
% 15.02/3.91 | Simplifying 859 yields:
% 15.02/3.91 | (860) e13 = e12
% 15.02/3.91 |
% 15.02/3.91 | Equations (860) can reduce 277 to:
% 15.02/3.91 | (422) $false
% 15.02/3.91 |
% 15.02/3.91 |-The branch is then unsatisfiable
% 15.02/3.91 |-Branch two:
% 15.02/3.91 | (940) ~ (all_0_146_146 = e12)
% 15.02/3.91 | (864) all_0_147_147 = e12
% 15.02/3.91 |
% 15.02/3.91 | Combining equations (874,864) yields a new equation:
% 15.02/3.91 | (887) e12 = e11
% 15.02/3.91 |
% 15.02/3.91 | Equations (887) can reduce 305 to:
% 15.02/3.91 | (422) $false
% 15.02/3.91 |
% 15.02/3.91 |-The branch is then unsatisfiable
% 15.02/3.91 |-Branch two:
% 15.02/3.91 | (922) ~ (all_0_149_149 = e11)
% 15.02/3.91 | (1018) all_0_150_150 = e11 | all_0_151_151 = e11
% 15.02/3.91 |
% 15.02/3.91 +-Applying beta-rule and splitting (231), into two cases.
% 15.02/3.91 |-Branch one:
% 15.02/3.91 | (662) all_0_142_142 = e12
% 15.02/3.91 |
% 15.02/3.91 | Combining equations (659,662) yields a new equation:
% 15.02/3.91 | (859) e13 = e12
% 15.02/3.91 |
% 15.02/3.91 | Simplifying 859 yields:
% 15.02/3.91 | (860) e13 = e12
% 15.02/3.91 |
% 15.02/3.91 | Equations (860) can reduce 277 to:
% 15.02/3.91 | (422) $false
% 15.02/3.91 |
% 15.02/3.91 |-The branch is then unsatisfiable
% 15.02/3.91 |-Branch two:
% 15.02/3.91 | (1371) ~ (all_0_142_142 = e12)
% 15.02/3.91 | (1372) all_0_145_145 = e12 | all_0_149_149 = e12
% 15.02/3.91 |
% 15.02/3.91 +-Applying beta-rule and splitting (1372), into two cases.
% 15.02/3.91 |-Branch one:
% 15.02/3.91 | (1305) all_0_145_145 = e12
% 15.02/3.91 |
% 15.02/3.91 | Equations (1305) can reduce 916 to:
% 15.02/3.91 | (305) ~ (e12 = e11)
% 15.02/3.91 |
% 15.02/3.91 +-Applying beta-rule and splitting (1018), into two cases.
% 15.02/3.91 |-Branch one:
% 15.02/3.91 | (883) all_0_150_150 = e11
% 15.02/3.91 |
% 15.02/3.91 | Combining equations (890,883) yields a new equation:
% 15.02/3.91 | (1020) e12 = e11
% 15.02/3.91 |
% 15.02/3.91 | Simplifying 1020 yields:
% 15.02/3.91 | (887) e12 = e11
% 15.02/3.91 |
% 15.02/3.91 | Equations (887) can reduce 305 to:
% 15.02/3.91 | (422) $false
% 15.02/3.91 |
% 15.02/3.91 |-The branch is then unsatisfiable
% 15.02/3.91 |-Branch two:
% 15.02/3.91 | (889) ~ (all_0_150_150 = e11)
% 15.02/3.91 | (1024) all_0_151_151 = e11
% 15.02/3.91 |
% 15.02/3.91 | Combining equations (1024,926) yields a new equation:
% 15.02/3.91 | (919) e11 = e10
% 15.02/3.91 |
% 15.02/3.91 | Simplifying 919 yields:
% 15.02/3.91 | (920) e11 = e10
% 15.02/3.91 |
% 15.02/3.91 | Equations (920) can reduce 284 to:
% 15.02/3.91 | (422) $false
% 15.02/3.91 |
% 15.02/3.91 |-The branch is then unsatisfiable
% 15.02/3.91 |-Branch two:
% 15.02/3.91 | (1355) ~ (all_0_145_145 = e12)
% 15.02/3.91 | (1385) all_0_149_149 = e12
% 15.02/3.91 |
% 15.02/3.91 | Equations (1385) can reduce 1297 to:
% 15.02/3.91 | (422) $false
% 15.02/3.91 |
% 15.02/3.91 |-The branch is then unsatisfiable
% 15.02/3.92 |-Branch two:
% 15.02/3.92 | (653) ~ (all_0_146_146 = e13)
% 15.02/3.92 | (870) all_0_147_147 = e13
% 15.02/3.92 |
% 15.02/3.92 | Combining equations (870,874) yields a new equation:
% 15.02/3.92 | (913) e13 = e11
% 15.02/3.92 |
% 15.02/3.92 | Simplifying 913 yields:
% 15.02/3.92 | (582) e13 = e11
% 15.02/3.92 |
% 15.02/3.92 | Equations (582) can reduce 358 to:
% 15.02/3.92 | (422) $false
% 15.02/3.92 |
% 15.02/3.92 |-The branch is then unsatisfiable
% 15.02/3.92 |-Branch two:
% 15.02/3.92 | (933) ~ (all_0_147_147 = e11)
% 15.02/3.92 | (1393) all_0_151_151 = e11 | all_0_154_154 = e11
% 15.02/3.92 |
% 15.02/3.92 +-Applying beta-rule and splitting (279), into two cases.
% 15.02/3.92 |-Branch one:
% 15.02/3.92 | (959) all_0_146_146 = e13
% 15.02/3.92 |
% 15.02/3.92 | Equations (959) can reduce 1139 to:
% 15.02/3.92 | (358) ~ (e13 = e11)
% 15.02/3.92 |
% 15.02/3.92 +-Applying beta-rule and splitting (1393), into two cases.
% 15.02/3.92 |-Branch one:
% 15.02/3.92 | (1024) all_0_151_151 = e11
% 15.02/3.92 |
% 15.02/3.92 | Combining equations (926,1024) yields a new equation:
% 15.02/3.92 | (920) e11 = e10
% 15.02/3.92 |
% 15.02/3.92 | Equations (920) can reduce 284 to:
% 15.02/3.92 | (422) $false
% 15.02/3.92 |
% 15.02/3.92 |-The branch is then unsatisfiable
% 15.02/3.92 |-Branch two:
% 15.02/3.92 | (995) ~ (all_0_151_151 = e11)
% 15.02/3.92 | (575) all_0_154_154 = e11
% 15.02/3.92 |
% 15.02/3.92 | Combining equations (590,575) yields a new equation:
% 15.02/3.92 | (913) e13 = e11
% 15.02/3.92 |
% 15.02/3.92 | Simplifying 913 yields:
% 15.02/3.92 | (582) e13 = e11
% 15.02/3.92 |
% 15.02/3.92 | Equations (582) can reduce 358 to:
% 15.02/3.92 | (422) $false
% 15.02/3.92 |
% 15.02/3.92 |-The branch is then unsatisfiable
% 15.02/3.92 |-Branch two:
% 15.02/3.92 | (653) ~ (all_0_146_146 = e13)
% 15.02/3.92 | (1405) all_0_150_150 = e13 | all_0_153_153 = e13
% 15.02/3.92 |
% 15.02/3.92 +-Applying beta-rule and splitting (58), into two cases.
% 15.02/3.92 |-Branch one:
% 15.02/3.92 | (574) all_0_150_150 = e13
% 15.02/3.92 |
% 15.02/3.92 | Equations (574) can reduce 546 to:
% 15.02/3.92 | (422) $false
% 15.02/3.92 |
% 15.02/3.92 |-The branch is then unsatisfiable
% 15.02/3.92 |-Branch two:
% 15.02/3.92 | (546) ~ (all_0_150_150 = e13)
% 15.02/3.92 | (880) all_0_150_150 = e12 | all_0_150_150 = e11
% 15.02/3.92 |
% 15.02/3.92 +-Applying beta-rule and splitting (287), into two cases.
% 15.02/3.92 |-Branch one:
% 15.02/3.92 | (918) all_0_149_149 = e11
% 15.02/3.92 |
% 15.02/3.92 | Equations (918) can reduce 1189 to:
% 15.02/3.92 | (895) ~ (e13 = e11)
% 15.02/3.92 |
% 15.02/3.92 | Simplifying 895 yields:
% 15.02/3.92 | (358) ~ (e13 = e11)
% 15.02/3.92 |
% 15.02/3.92 +-Applying beta-rule and splitting (1405), into two cases.
% 15.02/3.92 |-Branch one:
% 15.02/3.92 | (574) all_0_150_150 = e13
% 15.02/3.92 |
% 15.02/3.92 | Equations (574) can reduce 546 to:
% 15.02/3.92 | (422) $false
% 15.02/3.92 |
% 15.02/3.92 |-The branch is then unsatisfiable
% 15.02/3.92 |-Branch two:
% 15.02/3.92 | (546) ~ (all_0_150_150 = e13)
% 15.02/3.92 | (545) all_0_153_153 = e13
% 15.02/3.92 |
% 15.02/3.92 | Combining equations (545,990) yields a new equation:
% 15.02/3.92 | (913) e13 = e11
% 15.02/3.92 |
% 15.02/3.92 | Simplifying 913 yields:
% 15.02/3.92 | (582) e13 = e11
% 15.02/3.92 |
% 15.02/3.92 | Equations (582) can reduce 358 to:
% 15.02/3.92 | (422) $false
% 15.02/3.92 |
% 15.02/3.92 |-The branch is then unsatisfiable
% 15.02/3.92 |-Branch two:
% 15.02/3.92 | (922) ~ (all_0_149_149 = e11)
% 15.02/3.92 | (1018) all_0_150_150 = e11 | all_0_151_151 = e11
% 15.02/3.92 |
% 15.02/3.92 +-Applying beta-rule and splitting (1018), into two cases.
% 15.02/3.92 |-Branch one:
% 15.02/3.92 | (883) all_0_150_150 = e11
% 15.02/3.92 |
% 15.02/3.92 | Equations (883) can reduce 889 to:
% 15.02/3.92 | (422) $false
% 15.02/3.92 |
% 15.02/3.92 |-The branch is then unsatisfiable
% 15.02/3.92 |-Branch two:
% 15.02/3.92 | (889) ~ (all_0_150_150 = e11)
% 15.02/3.92 | (1024) all_0_151_151 = e11
% 15.02/3.92 |
% 15.02/3.92 | Combining equations (926,1024) yields a new equation:
% 15.02/3.92 | (920) e11 = e10
% 15.02/3.92 |
% 15.02/3.92 | Equations (920) can reduce 284 to:
% 15.02/3.92 | (422) $false
% 15.02/3.92 |
% 15.02/3.92 |-The branch is then unsatisfiable
% 15.02/3.92 |-Branch two:
% 15.02/3.92 | (1028) ~ (all_0_151_151 = e10)
% 15.02/3.92 | (909) all_0_154_154 = e10
% 15.02/3.92 |
% 15.02/3.92 | Combining equations (590,909) yields a new equation:
% 15.02/3.92 | (898) e13 = e10
% 15.02/3.92 |
% 15.02/3.92 | Simplifying 898 yields:
% 15.02/3.92 | (899) e13 = e10
% 15.02/3.92 |
% 15.02/3.92 | Equations (899) can reduce 176 to:
% 15.02/3.92 | (422) $false
% 15.02/3.92 |
% 15.02/3.92 |-The branch is then unsatisfiable
% 15.02/3.92 |-Branch two:
% 15.02/3.92 | (559) ~ (all_0_148_148 = e13)
% 15.02/3.92 | (565) all_0_148_148 = e10
% 15.02/3.92 |
% 15.02/3.92 | Equations (565) can reduce 122 to:
% 15.02/3.92 | (1435) ~ (all_0_144_144 = e10)
% 15.02/3.92 |
% 15.02/3.92 | Equations (565) can reduce 14 to:
% 15.02/3.92 | (1436) ~ (all_0_151_151 = e10)
% 15.02/3.92 |
% 15.02/3.92 | Simplifying 1436 yields:
% 15.02/3.92 | (1028) ~ (all_0_151_151 = e10)
% 15.02/3.92 |
% 15.02/3.92 | Equations (565) can reduce 50 to:
% 15.02/3.92 | (910) ~ (e11 = e10)
% 15.02/3.92 |
% 15.02/3.92 | Simplifying 910 yields:
% 15.02/3.92 | (284) ~ (e11 = e10)
% 15.02/3.92 |
% 15.02/3.92 +-Applying beta-rule and splitting (46), into two cases.
% 15.02/3.92 |-Branch one:
% 15.02/3.92 | (555) all_0_144_144 = e13
% 15.02/3.92 |
% 15.02/3.92 | Equations (555) can reduce 245 to:
% 15.02/3.92 | (652) ~ (all_0_146_146 = e13)
% 15.02/3.92 |
% 15.02/3.92 | Simplifying 652 yields:
% 15.02/3.92 | (653) ~ (all_0_146_146 = e13)
% 15.02/3.92 |
% 15.02/3.92 | Equations (555) can reduce 9 to:
% 15.02/3.92 | (669) ~ (all_0_147_147 = e13)
% 15.02/3.92 |
% 15.02/3.92 | Simplifying 669 yields:
% 15.02/3.92 | (670) ~ (all_0_147_147 = e13)
% 15.02/3.92 |
% 15.02/3.92 | Equations (555) can reduce 2 to:
% 15.02/3.92 | (277) ~ (e13 = e12)
% 15.02/3.92 |
% 15.02/3.92 | Equations (555) can reduce 29 to:
% 15.02/3.92 | (358) ~ (e13 = e11)
% 15.02/3.92 |
% 15.02/3.92 | Equations (555) can reduce 1435 to:
% 15.02/3.92 | (176) ~ (e13 = e10)
% 15.02/3.92 |
% 15.02/3.92 | From (555)(555) and (301) follows:
% 15.02/3.92 | (561) op1(e13, e13) = all_0_118_118
% 15.02/3.92 |
% 15.02/3.92 +-Applying beta-rule and splitting (380), into two cases.
% 15.02/3.92 |-Branch one:
% 15.02/3.92 | (938) all_0_147_147 = e10
% 15.02/3.92 |
% 15.02/3.92 | Equations (938) can reduce 354 to:
% 15.02/3.92 | (1436) ~ (all_0_151_151 = e10)
% 15.02/3.92 |
% 15.02/3.92 | Simplifying 1436 yields:
% 15.02/3.92 | (1028) ~ (all_0_151_151 = e10)
% 15.02/3.92 |
% 15.02/3.92 | Equations (938) can reduce 670 to:
% 15.02/3.92 | (976) ~ (e13 = e10)
% 15.02/3.92 |
% 15.02/3.92 | Simplifying 976 yields:
% 15.02/3.92 | (176) ~ (e13 = e10)
% 15.02/3.92 |
% 15.02/3.92 | Equations (938) can reduce 854 to:
% 15.02/3.92 | (1454) ~ (e12 = e10)
% 15.02/3.92 |
% 15.02/3.92 | Simplifying 1454 yields:
% 15.02/3.92 | (149) ~ (e12 = e10)
% 15.02/3.92 |
% 15.02/3.92 | From (938)(938) and (352) follows:
% 15.02/3.92 | (1456) op1(e10, e10) = all_0_121_121
% 15.02/3.92 |
% 15.02/3.93 +-Applying beta-rule and splitting (69), into two cases.
% 15.02/3.93 |-Branch one:
% 15.02/3.93 | (874) all_0_147_147 = e11
% 15.02/3.93 |
% 15.02/3.93 | Combining equations (938,874) yields a new equation:
% 15.02/3.93 | (920) e11 = e10
% 15.02/3.93 |
% 15.02/3.93 | Equations (920) can reduce 284 to:
% 15.02/3.93 | (422) $false
% 15.02/3.93 |
% 15.02/3.93 |-The branch is then unsatisfiable
% 15.02/3.93 |-Branch two:
% 15.02/3.93 | (933) ~ (all_0_147_147 = e11)
% 15.02/3.93 | (1393) all_0_151_151 = e11 | all_0_154_154 = e11
% 15.02/3.93 |
% 15.02/3.93 +-Applying beta-rule and splitting (190), into two cases.
% 15.02/3.93 |-Branch one:
% 15.02/3.93 | (912) all_0_145_145 = e11
% 15.02/3.93 |
% 15.02/3.93 | Combining equations (912,1231) yields a new equation:
% 15.02/3.93 | (1463) all_0_117_117 = e11
% 15.02/3.93 |
% 15.02/3.93 | Equations (912) can reduce 86 to:
% 15.02/3.93 | (1464) ~ (all_0_146_146 = e11)
% 15.02/3.93 |
% 15.02/3.93 | Simplifying 1464 yields:
% 15.02/3.93 | (1139) ~ (all_0_146_146 = e11)
% 15.02/3.93 |
% 15.02/3.93 | From (912)(912) and (90) follows:
% 15.02/3.93 | (1466) op1(e11, e11) = all_0_119_119
% 15.02/3.93 |
% 15.02/3.93 | From (912) and (170) follows:
% 15.02/3.93 | (1467) op1(e12, e12) = e11
% 15.02/3.93 |
% 15.02/3.93 +-Applying beta-rule and splitting (67), into two cases.
% 15.02/3.93 |-Branch one:
% 15.02/3.93 | (1468) all_0_151_151 = e13
% 15.02/3.93 |
% 15.02/3.93 | Equations (1468) can reduce 1226 to:
% 15.02/3.93 | (422) $false
% 15.02/3.93 |
% 15.02/3.93 |-The branch is then unsatisfiable
% 15.02/3.93 |-Branch two:
% 15.02/3.93 | (1226) ~ (all_0_151_151 = e13)
% 15.02/3.93 | (1471) all_0_151_151 = e12 | all_0_151_151 = e11 | all_0_151_151 = e10
% 15.02/3.93 |
% 15.02/3.93 +-Applying beta-rule and splitting (1471), into two cases.
% 15.02/3.93 |-Branch one:
% 15.02/3.93 | (1024) all_0_151_151 = e11
% 15.02/3.93 |
% 15.02/3.93 | Equations (1024) can reduce 298 to:
% 15.02/3.93 | (922) ~ (all_0_149_149 = e11)
% 15.02/3.93 |
% 15.02/3.93 | Equations (1024) can reduce 1226 to:
% 15.02/3.93 | (895) ~ (e13 = e11)
% 15.02/3.93 |
% 15.02/3.93 | Simplifying 895 yields:
% 15.02/3.93 | (358) ~ (e13 = e11)
% 15.02/3.93 |
% 15.02/3.93 | Equations (1024) can reduce 943 to:
% 15.02/3.93 | (884) ~ (e12 = e11)
% 15.02/3.93 |
% 15.02/3.93 | Simplifying 884 yields:
% 15.02/3.93 | (305) ~ (e12 = e11)
% 15.02/3.93 |
% 15.02/3.93 | Equations (1024) can reduce 1028 to:
% 15.02/3.93 | (284) ~ (e11 = e10)
% 15.02/3.93 |
% 15.02/3.93 +-Applying beta-rule and splitting (185), into two cases.
% 15.02/3.93 |-Branch one:
% 15.02/3.93 | (1479) all_0_149_149 = e13
% 15.02/3.93 |
% 15.02/3.93 | Equations (1479) can reduce 1189 to:
% 15.02/3.93 | (422) $false
% 15.02/3.93 |
% 15.02/3.93 |-The branch is then unsatisfiable
% 15.02/3.93 |-Branch two:
% 15.02/3.93 | (1189) ~ (all_0_149_149 = e13)
% 15.02/3.93 | (1482) all_0_149_149 = e12 | all_0_149_149 = e11 | all_0_149_149 = e10
% 15.02/3.93 |
% 15.02/3.93 +-Applying beta-rule and splitting (75), into two cases.
% 15.02/3.93 |-Branch one:
% 15.02/3.93 | (1305) all_0_145_145 = e12
% 15.02/3.93 |
% 15.02/3.93 | Combining equations (912,1305) yields a new equation:
% 15.02/3.93 | (887) e12 = e11
% 15.02/3.93 |
% 15.02/3.93 | Equations (887) can reduce 305 to:
% 15.02/3.93 | (422) $false
% 15.02/3.93 |
% 15.02/3.93 |-The branch is then unsatisfiable
% 15.02/3.93 |-Branch two:
% 15.02/3.93 | (1355) ~ (all_0_145_145 = e12)
% 15.02/3.93 | (1356) all_0_146_146 = e12 | all_0_147_147 = e12
% 15.02/3.93 |
% 15.02/3.93 +-Applying beta-rule and splitting (1356), into two cases.
% 15.02/3.93 |-Branch one:
% 15.02/3.93 | (852) all_0_146_146 = e12
% 15.02/3.93 |
% 15.02/3.93 | Equations (852) can reduce 338 to:
% 15.02/3.93 | (1489) ~ (all_0_150_150 = e12)
% 15.02/3.93 |
% 15.02/3.93 | Simplifying 1489 yields:
% 15.02/3.93 | (869) ~ (all_0_150_150 = e12)
% 15.02/3.93 |
% 15.02/3.93 | Equations (852) can reduce 1139 to:
% 15.02/3.93 | (305) ~ (e12 = e11)
% 15.02/3.93 |
% 15.02/3.93 | From (852)(852) and (315) follows:
% 15.02/3.93 | (1492) op1(e12, e12) = all_0_120_120
% 15.02/3.93 |
% 15.02/3.93 +-Applying beta-rule and splitting (173), into two cases.
% 15.02/3.93 |-Branch one:
% 15.02/3.93 | (562) all_0_148_148 = e13
% 15.02/3.93 |
% 15.02/3.93 | Combining equations (565,562) yields a new equation:
% 15.02/3.93 | (899) e13 = e10
% 15.02/3.93 |
% 15.02/3.93 | Equations (899) can reduce 176 to:
% 15.02/3.93 | (422) $false
% 15.02/3.93 |
% 15.02/3.93 |-The branch is then unsatisfiable
% 15.02/3.93 |-Branch two:
% 15.02/3.93 | (559) ~ (all_0_148_148 = e13)
% 15.02/3.93 | (1497) all_0_149_149 = e13 | all_0_150_150 = e13 | all_0_151_151 = e13
% 15.02/3.93 |
% 15.02/3.93 +-Applying beta-rule and splitting (1497), into two cases.
% 15.02/3.93 |-Branch one:
% 15.02/3.93 | (1479) all_0_149_149 = e13
% 15.02/3.93 |
% 15.02/3.93 | Equations (1479) can reduce 1189 to:
% 15.02/3.93 | (422) $false
% 15.02/3.93 |
% 15.02/3.93 |-The branch is then unsatisfiable
% 15.02/3.93 |-Branch two:
% 15.02/3.93 | (1189) ~ (all_0_149_149 = e13)
% 15.02/3.93 | (1501) all_0_150_150 = e13 | all_0_151_151 = e13
% 15.02/3.93 |
% 15.02/3.93 +-Applying beta-rule and splitting (1501), into two cases.
% 15.02/3.93 |-Branch one:
% 15.02/3.93 | (574) all_0_150_150 = e13
% 15.02/3.93 |
% 15.02/3.93 | Equations (574) can reduce 869 to:
% 15.02/3.93 | (277) ~ (e13 = e12)
% 15.02/3.93 |
% 15.02/3.93 | From (574)(574) and (134) follows:
% 15.02/3.93 | (1504) op1(e13, e13) = all_0_124_124
% 15.02/3.93 |
% 15.02/3.93 | From (574) and (304) follows:
% 15.02/3.93 | (1505) op1(e11, e11) = e13
% 15.02/3.93 |
% 15.02/3.93 +-Applying beta-rule and splitting (1482), into two cases.
% 15.02/3.93 |-Branch one:
% 15.02/3.93 | (918) all_0_149_149 = e11
% 15.02/3.93 |
% 15.02/3.93 | Equations (918) can reduce 922 to:
% 15.02/3.93 | (422) $false
% 15.02/3.93 |
% 15.02/3.93 |-The branch is then unsatisfiable
% 15.02/3.93 |-Branch two:
% 15.02/3.93 | (922) ~ (all_0_149_149 = e11)
% 15.02/3.93 | (1509) all_0_149_149 = e12 | all_0_149_149 = e10
% 15.02/3.93 |
% 15.02/3.93 +-Applying beta-rule and splitting (78), into two cases.
% 15.02/3.93 |-Branch one:
% 15.02/3.93 | (1385) all_0_149_149 = e12
% 15.02/3.93 |
% 15.02/3.93 | Equations (1385) can reduce 922 to:
% 15.02/3.93 | (305) ~ (e12 = e11)
% 15.02/3.93 |
% 15.02/3.93 | From (1385)(1385) and (321) follows:
% 15.02/3.93 | (1512) op1(e12, e12) = all_0_123_123
% 15.02/3.93 |
% 15.02/3.93 | Instantiating formula (296) with e13, e13, all_0_118_118, e11 and discharging atoms op1(e13, e13) = all_0_118_118, op1(e13, e13) = e11, yields:
% 15.02/3.93 | (567) all_0_118_118 = e11
% 15.02/3.93 |
% 15.02/3.93 | Instantiating formula (296) with e13, e13, all_0_124_124, all_0_118_118 and discharging atoms op1(e13, e13) = all_0_118_118, op1(e13, e13) = all_0_124_124, yields:
% 15.02/3.93 | (1514) all_0_118_118 = all_0_124_124
% 15.02/3.93 |
% 15.02/3.93 | Instantiating formula (296) with e12, e12, all_0_123_123, all_0_120_120 and discharging atoms op1(e12, e12) = all_0_120_120, op1(e12, e12) = all_0_123_123, yields:
% 15.02/3.93 | (1515) all_0_120_120 = all_0_123_123
% 15.02/3.93 |
% 15.02/3.93 | Instantiating formula (296) with e12, e12, e11, all_0_120_120 and discharging atoms op1(e12, e12) = all_0_120_120, op1(e12, e12) = e11, yields:
% 15.02/3.93 | (580) all_0_120_120 = e11
% 15.02/3.93 |
% 15.02/3.93 | Instantiating formula (296) with e11, e11, e13, all_0_119_119 and discharging atoms op1(e11, e11) = all_0_119_119, op1(e11, e11) = e13, yields:
% 15.02/3.93 | (1517) all_0_119_119 = e13
% 15.02/3.93 |
% 15.02/3.93 | Instantiating formula (296) with e10, e10, all_0_121_121, e13 and discharging atoms op1(e10, e10) = all_0_121_121, op1(e10, e10) = e13, yields:
% 15.02/3.93 | (1518) all_0_121_121 = e13
% 15.02/3.93 |
% 15.02/3.93 | Combining equations (567,1514) yields a new equation:
% 15.02/3.93 | (587) all_0_124_124 = e11
% 15.02/3.93 |
% 15.02/3.93 | Combining equations (1515,580) yields a new equation:
% 15.02/3.93 | (1520) all_0_123_123 = e11
% 15.02/3.93 |
% 15.02/3.93 | Simplifying 1520 yields:
% 15.02/3.93 | (1521) all_0_123_123 = e11
% 15.02/3.93 |
% 15.02/3.93 | Combining equations (587,1514) yields a new equation:
% 15.02/3.93 | (567) all_0_118_118 = e11
% 15.02/3.93 |
% 15.02/3.93 +-Applying beta-rule and splitting (293), into two cases.
% 15.02/3.93 |-Branch one:
% 15.02/3.93 | (569) (all_0_116_116 = e12 & all_0_117_117 = e10 & all_0_150_150 = e13 & all_0_154_154 = e11) | (all_0_118_118 = e13 & all_0_119_119 = e12 & all_0_120_120 = e11 & all_0_121_121 = e10) | (all_0_122_122 = e13 & all_0_123_123 = e12 & all_0_124_124 = e11 & all_0_125_125 = e10)
% 15.02/3.93 |
% 15.02/3.93 +-Applying beta-rule and splitting (569), into two cases.
% 15.02/3.93 |-Branch one:
% 15.02/3.93 | (570) (all_0_116_116 = e12 & all_0_117_117 = e10 & all_0_150_150 = e13 & all_0_154_154 = e11) | (all_0_118_118 = e13 & all_0_119_119 = e12 & all_0_120_120 = e11 & all_0_121_121 = e10)
% 15.02/3.93 |
% 15.02/3.93 +-Applying beta-rule and splitting (570), into two cases.
% 15.02/3.93 |-Branch one:
% 15.02/3.93 | (571) all_0_116_116 = e12 & all_0_117_117 = e10 & all_0_150_150 = e13 & all_0_154_154 = e11
% 15.02/3.93 |
% 15.02/3.93 | Applying alpha-rule on (571) yields:
% 15.02/3.93 | (572) all_0_116_116 = e12
% 15.02/3.93 | (573) all_0_117_117 = e10
% 15.02/3.93 | (574) all_0_150_150 = e13
% 15.02/3.93 | (575) all_0_154_154 = e11
% 15.02/3.93 |
% 15.02/3.93 | Combining equations (573,1463) yields a new equation:
% 15.02/3.93 | (920) e11 = e10
% 15.02/3.93 |
% 15.02/3.93 | Equations (920) can reduce 284 to:
% 15.02/3.93 | (422) $false
% 15.02/3.93 |
% 15.02/3.93 |-The branch is then unsatisfiable
% 15.02/3.93 |-Branch two:
% 15.02/3.93 | (577) all_0_118_118 = e13 & all_0_119_119 = e12 & all_0_120_120 = e11 & all_0_121_121 = e10
% 15.02/3.93 |
% 15.02/3.93 | Applying alpha-rule on (577) yields:
% 15.02/3.93 | (578) all_0_118_118 = e13
% 15.02/3.93 | (579) all_0_119_119 = e12
% 15.02/3.93 | (580) all_0_120_120 = e11
% 15.02/3.93 | (581) all_0_121_121 = e10
% 15.02/3.93 |
% 15.02/3.93 | Combining equations (578,567) yields a new equation:
% 15.02/3.93 | (913) e13 = e11
% 15.02/3.93 |
% 15.02/3.93 | Simplifying 913 yields:
% 15.02/3.93 | (582) e13 = e11
% 15.02/3.93 |
% 15.02/3.93 | Combining equations (579,1517) yields a new equation:
% 15.02/3.93 | (860) e13 = e12
% 15.02/3.93 |
% 15.02/3.93 | Combining equations (581,1518) yields a new equation:
% 15.02/3.93 | (899) e13 = e10
% 15.02/3.93 |
% 15.02/3.94 | Combining equations (899,860) yields a new equation:
% 15.02/3.94 | (928) e12 = e10
% 15.02/3.94 |
% 15.02/3.94 | Combining equations (582,860) yields a new equation:
% 15.02/3.94 | (887) e12 = e11
% 15.02/3.94 |
% 15.02/3.94 | Combining equations (887,928) yields a new equation:
% 15.02/3.94 | (919) e11 = e10
% 15.02/3.94 |
% 15.02/3.94 | Simplifying 919 yields:
% 15.02/3.94 | (920) e11 = e10
% 15.02/3.94 |
% 15.02/3.94 | Equations (920) can reduce 284 to:
% 15.02/3.94 | (422) $false
% 15.02/3.94 |
% 15.02/3.94 |-The branch is then unsatisfiable
% 15.02/3.94 |-Branch two:
% 15.02/3.94 | (584) all_0_122_122 = e13 & all_0_123_123 = e12 & all_0_124_124 = e11 & all_0_125_125 = e10
% 15.02/3.94 |
% 15.02/3.94 | Applying alpha-rule on (584) yields:
% 15.02/3.94 | (585) all_0_122_122 = e13
% 15.02/3.94 | (586) all_0_123_123 = e12
% 15.02/3.94 | (587) all_0_124_124 = e11
% 15.02/3.94 | (588) all_0_125_125 = e10
% 15.02/3.94 |
% 15.02/3.94 | Combining equations (1521,586) yields a new equation:
% 15.02/3.94 | (887) e12 = e11
% 15.02/3.94 |
% 15.02/3.94 | Equations (887) can reduce 305 to:
% 15.02/3.94 | (422) $false
% 15.02/3.94 |
% 15.02/3.94 |-The branch is then unsatisfiable
% 15.02/3.94 |-Branch two:
% 15.02/3.94 | (592) all_0_126_126 = e12 & all_0_127_127 = e11 & all_0_128_128 = e10 & all_0_145_145 = e13
% 15.02/3.94 |
% 15.02/3.94 | Applying alpha-rule on (592) yields:
% 15.02/3.94 | (593) all_0_126_126 = e12
% 15.02/3.94 | (551) all_0_127_127 = e11
% 15.02/3.94 | (595) all_0_128_128 = e10
% 15.02/3.94 | (596) all_0_145_145 = e13
% 15.02/3.94 |
% 15.02/3.94 | Combining equations (1234,595) yields a new equation:
% 15.02/3.94 | (919) e11 = e10
% 15.02/3.94 |
% 15.02/3.94 | Simplifying 919 yields:
% 15.02/3.94 | (920) e11 = e10
% 15.02/3.94 |
% 15.02/3.94 | Equations (920) can reduce 284 to:
% 15.02/3.94 | (422) $false
% 15.02/3.94 |
% 15.02/3.94 |-The branch is then unsatisfiable
% 15.02/3.94 |-Branch two:
% 15.02/3.94 | (1297) ~ (all_0_149_149 = e12)
% 15.02/3.94 | (1562) all_0_150_150 = e12 | all_0_151_151 = e12
% 15.02/3.94 |
% 15.02/3.94 +-Applying beta-rule and splitting (1562), into two cases.
% 15.02/3.94 |-Branch one:
% 15.02/3.94 | (890) all_0_150_150 = e12
% 15.02/3.94 |
% 15.02/3.94 | Combining equations (574,890) yields a new equation:
% 15.02/3.94 | (859) e13 = e12
% 15.02/3.94 |
% 15.02/3.94 | Simplifying 859 yields:
% 15.02/3.94 | (860) e13 = e12
% 15.02/3.94 |
% 15.02/3.94 | Equations (860) can reduce 277 to:
% 15.02/3.94 | (422) $false
% 15.02/3.94 |
% 15.02/3.94 |-The branch is then unsatisfiable
% 15.02/3.94 |-Branch two:
% 15.02/3.94 | (869) ~ (all_0_150_150 = e12)
% 15.02/3.94 | (867) all_0_151_151 = e12
% 15.02/3.94 |
% 15.02/3.94 | Combining equations (867,1024) yields a new equation:
% 15.02/3.94 | (1020) e12 = e11
% 15.02/3.94 |
% 15.02/3.94 | Simplifying 1020 yields:
% 15.02/3.94 | (887) e12 = e11
% 15.02/3.94 |
% 15.02/3.94 | Equations (887) can reduce 305 to:
% 15.02/3.94 | (422) $false
% 15.02/3.94 |
% 15.02/3.94 |-The branch is then unsatisfiable
% 15.02/3.94 |-Branch two:
% 15.02/3.94 | (546) ~ (all_0_150_150 = e13)
% 15.02/3.94 | (1468) all_0_151_151 = e13
% 15.02/3.94 |
% 15.02/3.94 | Combining equations (1024,1468) yields a new equation:
% 15.02/3.94 | (582) e13 = e11
% 15.02/3.94 |
% 15.02/3.94 | Equations (582) can reduce 358 to:
% 15.02/3.94 | (422) $false
% 15.02/3.94 |
% 15.02/3.94 |-The branch is then unsatisfiable
% 15.02/3.94 |-Branch two:
% 15.02/3.94 | (940) ~ (all_0_146_146 = e12)
% 15.02/3.94 | (864) all_0_147_147 = e12
% 15.02/3.94 |
% 15.02/3.94 | Combining equations (938,864) yields a new equation:
% 15.02/3.94 | (928) e12 = e10
% 15.02/3.94 |
% 15.02/3.94 | Equations (928) can reduce 149 to:
% 15.02/3.94 | (422) $false
% 15.02/3.94 |
% 15.02/3.94 |-The branch is then unsatisfiable
% 15.02/3.94 |-Branch two:
% 15.02/3.94 | (995) ~ (all_0_151_151 = e11)
% 15.02/3.94 | (1581) all_0_151_151 = e12 | all_0_151_151 = e10
% 15.02/3.94 |
% 15.02/3.94 +-Applying beta-rule and splitting (1581), into two cases.
% 15.02/3.94 |-Branch one:
% 15.02/3.94 | (867) all_0_151_151 = e12
% 15.02/3.94 |
% 15.02/3.94 | Equations (867) can reduce 943 to:
% 15.02/3.94 | (422) $false
% 15.02/3.94 |
% 15.02/3.94 |-The branch is then unsatisfiable
% 15.02/3.94 |-Branch two:
% 15.02/3.94 | (943) ~ (all_0_151_151 = e12)
% 15.02/3.94 | (926) all_0_151_151 = e10
% 15.02/3.94 |
% 15.02/3.94 | Equations (926) can reduce 1028 to:
% 15.02/3.94 | (422) $false
% 15.02/3.94 |
% 15.02/3.94 |-The branch is then unsatisfiable
% 15.02/3.94 |-Branch two:
% 15.02/3.94 | (916) ~ (all_0_145_145 = e11)
% 15.02/3.94 | (1588) all_0_146_146 = e11 | all_0_147_147 = e11
% 15.02/3.94 |
% 15.02/3.94 +-Applying beta-rule and splitting (1393), into two cases.
% 15.02/3.94 |-Branch one:
% 15.02/3.94 | (1024) all_0_151_151 = e11
% 15.02/3.94 |
% 15.02/3.94 | Equations (1024) can reduce 1226 to:
% 15.02/3.94 | (895) ~ (e13 = e11)
% 15.02/3.94 |
% 15.02/3.94 | Simplifying 895 yields:
% 15.02/3.94 | (358) ~ (e13 = e11)
% 15.02/3.94 |
% 15.02/3.94 | Equations (1024) can reduce 1028 to:
% 15.02/3.94 | (284) ~ (e11 = e10)
% 15.02/3.94 |
% 15.02/3.94 +-Applying beta-rule and splitting (209), into two cases.
% 15.02/3.94 |-Branch one:
% 15.02/3.94 | (959) all_0_146_146 = e13
% 15.02/3.94 |
% 15.02/3.94 | Equations (959) can reduce 653 to:
% 15.02/3.94 | (422) $false
% 15.02/3.94 |
% 15.02/3.94 |-The branch is then unsatisfiable
% 15.02/3.94 |-Branch two:
% 15.02/3.94 | (653) ~ (all_0_146_146 = e13)
% 15.02/3.94 | (962) all_0_146_146 = e12 | all_0_146_146 = e11
% 15.02/3.94 |
% 15.02/3.94 +-Applying beta-rule and splitting (279), into two cases.
% 15.02/3.94 |-Branch one:
% 15.02/3.94 | (959) all_0_146_146 = e13
% 15.02/3.94 |
% 15.02/3.94 | Equations (959) can reduce 653 to:
% 15.02/3.94 | (422) $false
% 15.02/3.94 |
% 15.02/3.94 |-The branch is then unsatisfiable
% 15.02/3.94 |-Branch two:
% 15.02/3.94 | (653) ~ (all_0_146_146 = e13)
% 15.02/3.94 | (1405) all_0_150_150 = e13 | all_0_153_153 = e13
% 15.02/3.94 |
% 15.02/3.94 +-Applying beta-rule and splitting (1405), into two cases.
% 15.02/3.94 |-Branch one:
% 15.02/3.94 | (574) all_0_150_150 = e13
% 15.02/3.94 |
% 15.02/3.94 | Equations (574) can reduce 356 to:
% 15.02/3.94 | (1189) ~ (all_0_149_149 = e13)
% 15.02/3.94 |
% 15.02/3.94 +-Applying beta-rule and splitting (78), into two cases.
% 15.02/3.94 |-Branch one:
% 15.02/3.94 | (1385) all_0_149_149 = e12
% 15.02/3.94 |
% 15.02/3.94 | Equations (1385) can reduce 1189 to:
% 15.02/3.94 | (855) ~ (e13 = e12)
% 15.02/3.94 |
% 15.02/3.94 | Simplifying 855 yields:
% 15.02/3.94 | (277) ~ (e13 = e12)
% 15.02/3.94 |
% 15.02/3.94 +-Applying beta-rule and splitting (198), into two cases.
% 15.02/3.94 |-Branch one:
% 15.02/3.94 | (852) all_0_146_146 = e12
% 15.02/3.94 |
% 15.02/3.94 | Equations (852) can reduce 1139 to:
% 15.02/3.94 | (305) ~ (e12 = e11)
% 15.02/3.94 |
% 15.02/3.94 +-Applying beta-rule and splitting (1588), into two cases.
% 15.02/3.94 |-Branch one:
% 15.02/3.94 | (963) all_0_146_146 = e11
% 15.02/3.94 |
% 15.02/3.94 | Combining equations (852,963) yields a new equation:
% 15.02/3.94 | (1020) e12 = e11
% 15.02/3.94 |
% 15.02/3.94 | Simplifying 1020 yields:
% 15.02/3.94 | (887) e12 = e11
% 15.02/3.94 |
% 15.02/3.94 | Equations (887) can reduce 305 to:
% 15.02/3.94 | (422) $false
% 15.02/3.94 |
% 15.02/3.94 |-The branch is then unsatisfiable
% 15.02/3.94 |-Branch two:
% 15.02/3.94 | (1139) ~ (all_0_146_146 = e11)
% 15.02/3.94 | (874) all_0_147_147 = e11
% 15.02/3.94 |
% 15.02/3.94 | Combining equations (938,874) yields a new equation:
% 15.02/3.94 | (920) e11 = e10
% 15.02/3.94 |
% 15.02/3.94 | Equations (920) can reduce 284 to:
% 15.02/3.94 | (422) $false
% 15.02/3.94 |
% 15.02/3.94 |-The branch is then unsatisfiable
% 15.02/3.94 |-Branch two:
% 15.02/3.94 | (940) ~ (all_0_146_146 = e12)
% 15.02/3.94 | (890) all_0_150_150 = e12
% 15.02/3.94 |
% 15.02/3.94 | Combining equations (574,890) yields a new equation:
% 15.02/3.94 | (859) e13 = e12
% 15.02/3.94 |
% 15.02/3.94 | Simplifying 859 yields:
% 15.02/3.94 | (860) e13 = e12
% 15.02/3.94 |
% 15.02/3.94 | Equations (860) can reduce 277 to:
% 15.02/3.94 | (422) $false
% 15.02/3.94 |
% 15.02/3.94 |-The branch is then unsatisfiable
% 15.02/3.94 |-Branch two:
% 15.02/3.94 | (1297) ~ (all_0_149_149 = e12)
% 15.02/3.94 | (1562) all_0_150_150 = e12 | all_0_151_151 = e12
% 15.02/3.94 |
% 15.02/3.94 +-Applying beta-rule and splitting (231), into two cases.
% 15.02/3.94 |-Branch one:
% 15.02/3.94 | (662) all_0_142_142 = e12
% 15.02/3.94 |
% 15.02/3.94 | Combining equations (659,662) yields a new equation:
% 15.02/3.94 | (859) e13 = e12
% 15.02/3.94 |
% 15.02/3.94 | Simplifying 859 yields:
% 15.02/3.94 | (860) e13 = e12
% 15.02/3.94 |
% 15.02/3.94 | Equations (860) can reduce 277 to:
% 15.02/3.94 | (422) $false
% 15.02/3.94 |
% 15.02/3.94 |-The branch is then unsatisfiable
% 15.02/3.94 |-Branch two:
% 15.02/3.94 | (1371) ~ (all_0_142_142 = e12)
% 15.02/3.94 | (1372) all_0_145_145 = e12 | all_0_149_149 = e12
% 15.02/3.94 |
% 15.02/3.94 +-Applying beta-rule and splitting (962), into two cases.
% 15.02/3.94 |-Branch one:
% 15.02/3.94 | (963) all_0_146_146 = e11
% 15.02/3.94 |
% 15.02/3.94 | Equations (963) can reduce 1139 to:
% 15.02/3.94 | (422) $false
% 15.02/3.94 |
% 15.02/3.94 |-The branch is then unsatisfiable
% 15.02/3.94 |-Branch two:
% 15.02/3.94 | (1139) ~ (all_0_146_146 = e11)
% 15.02/3.94 | (852) all_0_146_146 = e12
% 15.02/3.94 |
% 15.02/3.94 | Equations (852) can reduce 86 to:
% 15.02/3.94 | (1355) ~ (all_0_145_145 = e12)
% 15.02/3.94 |
% 15.02/3.94 +-Applying beta-rule and splitting (1372), into two cases.
% 15.02/3.94 |-Branch one:
% 15.02/3.94 | (1305) all_0_145_145 = e12
% 15.02/3.94 |
% 15.02/3.94 | Equations (1305) can reduce 1355 to:
% 15.02/3.94 | (422) $false
% 15.02/3.94 |
% 15.02/3.94 |-The branch is then unsatisfiable
% 15.02/3.94 |-Branch two:
% 15.02/3.94 | (1355) ~ (all_0_145_145 = e12)
% 15.02/3.94 | (1385) all_0_149_149 = e12
% 15.02/3.94 |
% 15.02/3.94 | Equations (1385) can reduce 1297 to:
% 15.02/3.94 | (422) $false
% 15.02/3.94 |
% 15.02/3.94 |-The branch is then unsatisfiable
% 15.02/3.94 |-Branch two:
% 15.02/3.94 | (546) ~ (all_0_150_150 = e13)
% 15.02/3.94 | (545) all_0_153_153 = e13
% 15.02/3.94 |
% 15.02/3.94 | Combining equations (545,990) yields a new equation:
% 15.02/3.94 | (913) e13 = e11
% 15.02/3.94 |
% 15.02/3.94 | Simplifying 913 yields:
% 15.02/3.94 | (582) e13 = e11
% 15.02/3.94 |
% 15.02/3.94 | Equations (582) can reduce 358 to:
% 15.02/3.94 | (422) $false
% 15.02/3.94 |
% 15.02/3.94 |-The branch is then unsatisfiable
% 15.02/3.95 |-Branch two:
% 15.02/3.95 | (995) ~ (all_0_151_151 = e11)
% 15.02/3.95 | (575) all_0_154_154 = e11
% 15.02/3.95 |
% 15.02/3.95 | Combining equations (590,575) yields a new equation:
% 15.02/3.95 | (913) e13 = e11
% 15.02/3.95 |
% 15.02/3.95 | Simplifying 913 yields:
% 15.02/3.95 | (582) e13 = e11
% 15.02/3.95 |
% 15.02/3.95 | Equations (582) can reduce 358 to:
% 15.02/3.95 | (422) $false
% 15.02/3.95 |
% 15.02/3.95 |-The branch is then unsatisfiable
% 15.02/3.95 |-Branch two:
% 15.02/3.95 | (613) ~ (all_0_147_147 = e10)
% 15.02/3.95 | (1264) all_0_151_151 = e10 | all_0_154_154 = e10
% 15.02/3.95 |
% 15.02/3.95 +-Applying beta-rule and splitting (1264), into two cases.
% 15.02/3.95 |-Branch one:
% 15.02/3.95 | (926) all_0_151_151 = e10
% 15.02/3.95 |
% 15.02/3.95 | Equations (926) can reduce 1028 to:
% 15.02/3.95 | (422) $false
% 15.02/3.95 |
% 15.02/3.95 |-The branch is then unsatisfiable
% 15.02/3.95 |-Branch two:
% 15.02/3.95 | (1028) ~ (all_0_151_151 = e10)
% 15.02/3.95 | (909) all_0_154_154 = e10
% 15.02/3.95 |
% 15.02/3.95 | Combining equations (590,909) yields a new equation:
% 15.02/3.95 | (898) e13 = e10
% 15.02/3.95 |
% 15.02/3.95 | Simplifying 898 yields:
% 15.02/3.95 | (899) e13 = e10
% 15.02/3.95 |
% 15.02/3.95 | Equations (899) can reduce 176 to:
% 15.02/3.95 | (422) $false
% 15.02/3.95 |
% 15.02/3.95 |-The branch is then unsatisfiable
% 15.02/3.95 |-Branch two:
% 15.02/3.95 | (598) ~ (all_0_144_144 = e13)
% 15.02/3.95 | (609) all_0_144_144 = e10
% 15.02/3.95 |
% 15.02/3.95 | Equations (609) can reduce 1435 to:
% 15.02/3.95 | (422) $false
% 15.02/3.95 |
% 15.02/3.95 |-The branch is then unsatisfiable
% 15.02/3.95 |-Branch two:
% 15.02/3.95 | (651) ~ (all_0_142_142 = e13)
% 15.02/3.95 | (668) all_0_143_143 = e13
% 15.02/3.95 |
% 15.02/3.95 | Equations (668) can reduce 84 to:
% 15.02/3.95 | (651) ~ (all_0_142_142 = e13)
% 15.02/3.95 |
% 15.02/3.95 | Equations (668) can reduce 118 to:
% 15.02/3.95 | (669) ~ (all_0_147_147 = e13)
% 15.02/3.95 |
% 15.02/3.95 | Simplifying 669 yields:
% 15.02/3.95 | (670) ~ (all_0_147_147 = e13)
% 15.02/3.95 |
% 15.02/3.95 | Equations (668) can reduce 4 to:
% 15.02/3.95 | (547) ~ (all_0_154_154 = e13)
% 15.02/3.95 |
% 15.02/3.95 | Simplifying 547 yields:
% 15.02/3.95 | (548) ~ (all_0_154_154 = e13)
% 15.02/3.95 |
% 15.02/3.95 | Equations (668) can reduce 49 to:
% 15.02/3.95 | (358) ~ (e13 = e11)
% 15.02/3.95 |
% 15.02/3.95 | Equations (668) can reduce 192 to:
% 15.02/3.95 | (176) ~ (e13 = e10)
% 15.02/3.95 |
% 15.02/3.95 | From (668)(668) and (23) follows:
% 15.02/3.95 | (1670) op1(e13, e13) = all_0_117_117
% 15.02/3.95 |
% 15.02/3.95 +-Applying beta-rule and splitting (224), into two cases.
% 15.02/3.95 |-Branch one:
% 15.02/3.95 | (659) all_0_142_142 = e13
% 15.02/3.95 |
% 15.02/3.95 | Equations (659) can reduce 651 to:
% 15.02/3.95 | (422) $false
% 15.02/3.95 |
% 15.02/3.95 |-The branch is then unsatisfiable
% 15.02/3.95 |-Branch two:
% 15.02/3.95 | (651) ~ (all_0_142_142 = e13)
% 15.02/3.95 | (662) all_0_142_142 = e12
% 15.02/3.95 |
% 15.02/3.95 | Equations (662) can reduce 326 to:
% 15.02/3.95 | (1675) ~ (all_0_145_145 = e12)
% 15.02/3.95 |
% 15.02/3.95 | Simplifying 1675 yields:
% 15.02/3.95 | (1355) ~ (all_0_145_145 = e12)
% 15.02/3.95 |
% 15.02/3.95 | Equations (662) can reduce 73 to:
% 15.02/3.95 | (1677) ~ (all_0_149_149 = e12)
% 15.02/3.95 |
% 15.02/3.95 | Simplifying 1677 yields:
% 15.02/3.95 | (1297) ~ (all_0_149_149 = e12)
% 15.02/3.95 |
% 15.02/3.95 | Equations (662) can reduce 160 to:
% 15.02/3.95 | (665) ~ (all_0_152_152 = e12)
% 15.02/3.95 |
% 15.02/3.95 | Simplifying 665 yields:
% 15.02/3.95 | (66) ~ (all_0_152_152 = e12)
% 15.02/3.95 |
% 15.02/3.95 | From (662)(662) and (98) follows:
% 15.02/3.95 | (1681) op1(e12, e12) = all_0_116_116
% 15.02/3.95 |
% 15.02/3.95 +-Applying beta-rule and splitting (80), into two cases.
% 15.02/3.95 |-Branch one:
% 15.02/3.95 | (1194) all_0_152_152 = e13
% 15.02/3.95 |
% 15.02/3.95 | Equations (1194) can reduce 363 to:
% 15.02/3.95 | (557) ~ (all_0_145_145 = e13)
% 15.02/3.95 |
% 15.02/3.95 | Equations (1194) can reduce 66 to:
% 15.02/3.95 | (277) ~ (e13 = e12)
% 15.02/3.95 |
% 15.02/3.95 | From (1194)(1194) and (100) follows:
% 15.02/3.95 | (1685) op1(e13, e13) = all_0_126_126
% 15.02/3.95 |
% 15.02/3.95 +-Applying beta-rule and splitting (268), into two cases.
% 15.02/3.95 |-Branch one:
% 15.02/3.95 | (906) all_0_152_152 = e10
% 15.02/3.95 |
% 15.02/3.95 | Combining equations (1194,906) yields a new equation:
% 15.02/3.95 | (898) e13 = e10
% 15.02/3.95 |
% 15.02/3.95 | Simplifying 898 yields:
% 15.02/3.95 | (899) e13 = e10
% 15.02/3.95 |
% 15.02/3.95 | Equations (899) can reduce 176 to:
% 15.02/3.95 | (422) $false
% 15.02/3.95 |
% 15.02/3.95 |-The branch is then unsatisfiable
% 15.02/3.95 |-Branch two:
% 15.02/3.95 | (905) ~ (all_0_152_152 = e10)
% 15.02/3.95 | (909) all_0_154_154 = e10
% 15.02/3.95 |
% 15.02/3.95 | Equations (909) can reduce 131 to:
% 15.02/3.95 | (1028) ~ (all_0_151_151 = e10)
% 15.02/3.95 |
% 15.02/3.95 | From (909)(909) and (37) follows:
% 15.02/3.95 | (1693) op1(e10, e10) = all_0_128_128
% 15.02/3.95 |
% 15.02/3.95 | From (909) and (111) follows:
% 15.02/3.95 | (1694) op1(e10, e10) = e10
% 15.02/3.95 |
% 15.02/3.95 | Instantiating formula (296) with e13, e13, all_0_117_117, e11 and discharging atoms op1(e13, e13) = all_0_117_117, op1(e13, e13) = e11, yields:
% 15.02/3.95 | (1463) all_0_117_117 = e11
% 15.02/3.95 |
% 15.02/3.95 | Instantiating formula (296) with e13, e13, all_0_126_126, all_0_117_117 and discharging atoms op1(e13, e13) = all_0_117_117, op1(e13, e13) = all_0_126_126, yields:
% 15.02/3.95 | (1696) all_0_117_117 = all_0_126_126
% 15.02/3.95 |
% 15.02/3.95 | Instantiating formula (296) with e12, e12, all_0_116_116, all_0_145_145 and discharging atoms op1(e12, e12) = all_0_116_116, op1(e12, e12) = all_0_145_145, yields:
% 15.02/3.95 | (1697) all_0_116_116 = all_0_145_145
% 15.02/3.95 |
% 15.02/3.95 | Instantiating formula (296) with e10, e10, e10, all_0_128_128 and discharging atoms op1(e10, e10) = all_0_128_128, op1(e10, e10) = e10, yields:
% 15.02/3.95 | (595) all_0_128_128 = e10
% 15.02/3.95 |
% 15.02/3.95 | Combining equations (1696,1463) yields a new equation:
% 15.02/3.95 | (1699) all_0_126_126 = e11
% 15.02/3.95 |
% 15.02/3.95 | Simplifying 1699 yields:
% 15.02/3.95 | (1700) all_0_126_126 = e11
% 15.02/3.95 |
% 15.02/3.95 | From (1700) and (1685) follows:
% 15.02/3.95 | (248) op1(e13, e13) = e11
% 15.02/3.95 |
% 15.02/3.95 | From (1697) and (1681) follows:
% 15.02/3.95 | (170) op1(e12, e12) = all_0_145_145
% 15.02/3.95 |
% 15.02/3.95 | From (595) and (1693) follows:
% 15.02/3.95 | (1694) op1(e10, e10) = e10
% 15.02/3.95 |
% 15.02/3.95 +-Applying beta-rule and splitting (46), into two cases.
% 15.02/3.95 |-Branch one:
% 15.02/3.95 | (555) all_0_144_144 = e13
% 15.02/3.95 |
% 15.02/3.95 | Equations (555) can reduce 245 to:
% 15.02/3.95 | (652) ~ (all_0_146_146 = e13)
% 15.02/3.95 |
% 15.02/3.95 | Simplifying 652 yields:
% 15.02/3.95 | (653) ~ (all_0_146_146 = e13)
% 15.02/3.95 |
% 15.02/3.95 | Equations (555) can reduce 29 to:
% 15.02/3.95 | (358) ~ (e13 = e11)
% 15.02/3.95 |
% 15.02/3.95 | From (555)(555) and (301) follows:
% 15.02/3.95 | (561) op1(e13, e13) = all_0_118_118
% 15.02/3.95 |
% 15.02/3.95 +-Applying beta-rule and splitting (279), into two cases.
% 15.02/3.95 |-Branch one:
% 15.02/3.95 | (959) all_0_146_146 = e13
% 15.02/3.95 |
% 15.02/3.95 | Equations (959) can reduce 653 to:
% 15.02/3.95 | (422) $false
% 15.02/3.95 |
% 15.02/3.95 |-The branch is then unsatisfiable
% 15.02/3.95 |-Branch two:
% 15.02/3.95 | (653) ~ (all_0_146_146 = e13)
% 15.02/3.95 | (1405) all_0_150_150 = e13 | all_0_153_153 = e13
% 15.02/3.95 |
% 15.02/3.95 +-Applying beta-rule and splitting (1405), into two cases.
% 15.02/3.95 |-Branch one:
% 15.02/3.95 | (574) all_0_150_150 = e13
% 15.02/3.95 |
% 15.02/3.95 | Combining equations (574,1181) yields a new equation:
% 15.02/3.95 | (1714) all_0_127_127 = e13
% 15.02/3.95 |
% 15.02/3.95 | Equations (574) can reduce 338 to:
% 15.02/3.95 | (653) ~ (all_0_146_146 = e13)
% 15.02/3.95 |
% 15.02/3.95 | Equations (574) can reduce 52 to:
% 15.02/3.95 | (559) ~ (all_0_148_148 = e13)
% 15.02/3.95 |
% 15.02/3.95 | Equations (574) can reduce 356 to:
% 15.02/3.95 | (1189) ~ (all_0_149_149 = e13)
% 15.02/3.95 |
% 15.02/3.95 | From (574)(574) and (134) follows:
% 15.02/3.95 | (1504) op1(e13, e13) = all_0_124_124
% 15.02/3.95 |
% 15.02/3.95 | From (574) and (304) follows:
% 15.02/3.95 | (1505) op1(e11, e11) = e13
% 15.02/3.95 |
% 15.02/3.95 +-Applying beta-rule and splitting (209), into two cases.
% 15.02/3.95 |-Branch one:
% 15.02/3.95 | (959) all_0_146_146 = e13
% 15.02/3.95 |
% 15.02/3.95 | Equations (959) can reduce 653 to:
% 15.02/3.95 | (422) $false
% 15.02/3.95 |
% 15.02/3.95 |-The branch is then unsatisfiable
% 15.02/3.95 |-Branch two:
% 15.02/3.95 | (653) ~ (all_0_146_146 = e13)
% 15.02/3.95 | (962) all_0_146_146 = e12 | all_0_146_146 = e11
% 15.02/3.95 |
% 15.02/3.95 +-Applying beta-rule and splitting (962), into two cases.
% 15.02/3.95 |-Branch one:
% 15.02/3.95 | (963) all_0_146_146 = e11
% 15.02/3.95 |
% 15.02/3.95 | Equations (963) can reduce 1139 to:
% 15.02/3.95 | (422) $false
% 15.02/3.95 |
% 15.02/3.95 |-The branch is then unsatisfiable
% 15.02/3.95 |-Branch two:
% 15.02/3.95 | (1139) ~ (all_0_146_146 = e11)
% 15.02/3.95 | (852) all_0_146_146 = e12
% 15.02/3.95 |
% 15.02/3.95 | Equations (852) can reduce 177 to:
% 15.02/3.95 | (853) ~ (all_0_147_147 = e12)
% 15.02/3.95 |
% 15.02/3.95 | Simplifying 853 yields:
% 15.02/3.95 | (854) ~ (all_0_147_147 = e12)
% 15.02/3.95 |
% 15.02/3.95 | Equations (852) can reduce 653 to:
% 15.02/3.95 | (855) ~ (e13 = e12)
% 15.02/3.95 |
% 15.02/3.95 | Simplifying 855 yields:
% 15.02/3.95 | (277) ~ (e13 = e12)
% 15.02/3.95 |
% 15.02/3.95 +-Applying beta-rule and splitting (194), into two cases.
% 15.02/3.95 |-Branch one:
% 15.02/3.95 | (562) all_0_148_148 = e13
% 15.02/3.95 |
% 15.02/3.95 | Equations (562) can reduce 559 to:
% 15.02/3.95 | (422) $false
% 15.02/3.95 |
% 15.02/3.95 |-The branch is then unsatisfiable
% 15.02/3.95 |-Branch two:
% 15.02/3.95 | (559) ~ (all_0_148_148 = e13)
% 15.02/3.95 | (565) all_0_148_148 = e10
% 15.02/3.95 |
% 15.02/3.95 | Equations (565) can reduce 189 to:
% 15.02/3.95 | (1736) ~ (all_0_149_149 = e10)
% 15.02/3.95 |
% 15.02/3.95 | Simplifying 1736 yields:
% 15.02/3.96 | (925) ~ (all_0_149_149 = e10)
% 15.02/3.96 |
% 15.02/3.96 | Equations (565) can reduce 14 to:
% 15.02/3.96 | (1436) ~ (all_0_151_151 = e10)
% 15.02/3.96 |
% 15.02/3.96 | Simplifying 1436 yields:
% 15.02/3.96 | (1028) ~ (all_0_151_151 = e10)
% 15.02/3.96 |
% 15.02/3.96 | Equations (565) can reduce 559 to:
% 15.02/3.96 | (976) ~ (e13 = e10)
% 15.02/3.96 |
% 15.02/3.96 | Simplifying 976 yields:
% 15.02/3.96 | (176) ~ (e13 = e10)
% 15.02/3.96 |
% 15.02/3.96 | Equations (565) can reduce 50 to:
% 15.02/3.96 | (910) ~ (e11 = e10)
% 15.02/3.96 |
% 15.02/3.96 | Simplifying 910 yields:
% 15.02/3.96 | (284) ~ (e11 = e10)
% 15.02/3.96 |
% 15.02/3.96 | From (565)(565) and (324) follows:
% 15.02/3.96 | (566) op1(e10, e10) = all_0_122_122
% 15.02/3.96 |
% 15.02/3.96 +-Applying beta-rule and splitting (65), into two cases.
% 15.02/3.96 |-Branch one:
% 15.02/3.96 | (1032) all_0_145_145 = e10
% 15.02/3.96 |
% 15.02/3.96 | Equations (1032) can reduce 378 to:
% 15.02/3.96 | (612) ~ (all_0_147_147 = e10)
% 15.02/3.96 |
% 15.02/3.96 | Simplifying 612 yields:
% 15.02/3.96 | (613) ~ (all_0_147_147 = e10)
% 15.02/3.96 |
% 15.02/3.96 | Equations (1032) can reduce 212 to:
% 15.02/3.96 | (1736) ~ (all_0_149_149 = e10)
% 15.02/3.96 |
% 15.02/3.96 | Simplifying 1736 yields:
% 15.02/3.96 | (925) ~ (all_0_149_149 = e10)
% 15.02/3.96 |
% 15.02/3.96 | From (1032)(1032) and (90) follows:
% 15.02/3.96 | (1750) op1(e10, e10) = all_0_119_119
% 15.02/3.96 |
% 15.02/3.96 +-Applying beta-rule and splitting (190), into two cases.
% 15.02/3.96 |-Branch one:
% 15.02/3.96 | (912) all_0_145_145 = e11
% 15.02/3.96 |
% 15.02/3.96 | Combining equations (1032,912) yields a new equation:
% 15.02/3.96 | (920) e11 = e10
% 15.02/3.96 |
% 15.02/3.96 | Equations (920) can reduce 284 to:
% 15.02/3.96 | (422) $false
% 15.02/3.96 |
% 15.02/3.96 |-The branch is then unsatisfiable
% 15.02/3.96 |-Branch two:
% 15.02/3.96 | (916) ~ (all_0_145_145 = e11)
% 15.02/3.96 | (1588) all_0_146_146 = e11 | all_0_147_147 = e11
% 15.02/3.96 |
% 15.02/3.96 +-Applying beta-rule and splitting (185), into two cases.
% 15.02/3.96 |-Branch one:
% 15.02/3.96 | (1479) all_0_149_149 = e13
% 15.02/3.96 |
% 15.02/3.96 | Equations (1479) can reduce 1189 to:
% 15.02/3.96 | (422) $false
% 15.02/3.96 |
% 15.02/3.96 |-The branch is then unsatisfiable
% 15.02/3.96 |-Branch two:
% 15.02/3.96 | (1189) ~ (all_0_149_149 = e13)
% 15.02/3.96 | (1482) all_0_149_149 = e12 | all_0_149_149 = e11 | all_0_149_149 = e10
% 15.02/3.96 |
% 15.02/3.96 +-Applying beta-rule and splitting (1482), into two cases.
% 15.02/3.96 |-Branch one:
% 15.02/3.96 | (918) all_0_149_149 = e11
% 15.02/3.96 |
% 15.02/3.96 | Equations (918) can reduce 1297 to:
% 15.02/3.96 | (884) ~ (e12 = e11)
% 15.02/3.96 |
% 15.02/3.96 | Simplifying 884 yields:
% 15.02/3.96 | (305) ~ (e12 = e11)
% 15.02/3.96 |
% 15.02/3.96 | From (918)(918) and (321) follows:
% 15.02/3.96 | (1763) op1(e11, e11) = all_0_123_123
% 15.02/3.96 |
% 15.02/3.96 +-Applying beta-rule and splitting (1588), into two cases.
% 15.02/3.96 |-Branch one:
% 15.02/3.96 | (963) all_0_146_146 = e11
% 15.02/3.96 |
% 15.02/3.96 | Combining equations (852,963) yields a new equation:
% 15.02/3.96 | (1020) e12 = e11
% 15.02/3.96 |
% 15.02/3.96 | Simplifying 1020 yields:
% 15.02/3.96 | (887) e12 = e11
% 15.02/3.96 |
% 15.02/3.96 | Equations (887) can reduce 305 to:
% 15.02/3.96 | (422) $false
% 15.02/3.96 |
% 15.02/3.96 |-The branch is then unsatisfiable
% 15.02/3.96 |-Branch two:
% 15.02/3.96 | (1139) ~ (all_0_146_146 = e11)
% 15.02/3.96 | (874) all_0_147_147 = e11
% 15.02/3.96 |
% 15.02/3.96 | Equations (874) can reduce 854 to:
% 15.02/3.96 | (884) ~ (e12 = e11)
% 15.02/3.96 |
% 15.02/3.96 | Simplifying 884 yields:
% 15.02/3.96 | (305) ~ (e12 = e11)
% 15.02/3.96 |
% 15.02/3.96 | Equations (874) can reduce 613 to:
% 15.02/3.96 | (284) ~ (e11 = e10)
% 15.02/3.96 |
% 15.02/3.96 | From (874)(874) and (352) follows:
% 15.02/3.96 | (1282) op1(e11, e11) = all_0_121_121
% 15.02/3.96 |
% 15.02/3.96 +-Applying beta-rule and splitting (78), into two cases.
% 15.02/3.96 |-Branch one:
% 15.02/3.96 | (1385) all_0_149_149 = e12
% 15.02/3.96 |
% 15.02/3.96 | Combining equations (918,1385) yields a new equation:
% 15.02/3.96 | (887) e12 = e11
% 15.02/3.96 |
% 15.02/3.96 | Equations (887) can reduce 305 to:
% 15.02/3.96 | (422) $false
% 15.02/3.96 |
% 15.02/3.96 |-The branch is then unsatisfiable
% 15.02/3.96 |-Branch two:
% 15.02/3.96 | (1297) ~ (all_0_149_149 = e12)
% 15.02/3.96 | (1562) all_0_150_150 = e12 | all_0_151_151 = e12
% 15.02/3.96 |
% 15.02/3.96 +-Applying beta-rule and splitting (1562), into two cases.
% 15.02/3.96 |-Branch one:
% 15.02/3.96 | (890) all_0_150_150 = e12
% 15.02/3.96 |
% 15.02/3.96 | Combining equations (890,574) yields a new equation:
% 15.02/3.96 | (860) e13 = e12
% 15.02/3.96 |
% 15.02/3.96 | Equations (860) can reduce 277 to:
% 15.02/3.96 | (422) $false
% 15.02/3.96 |
% 15.02/3.96 |-The branch is then unsatisfiable
% 15.02/3.96 |-Branch two:
% 15.02/3.96 | (869) ~ (all_0_150_150 = e12)
% 15.02/3.96 | (867) all_0_151_151 = e12
% 15.02/3.96 |
% 15.02/3.96 | Equations (867) can reduce 1028 to:
% 15.02/3.96 | (149) ~ (e12 = e10)
% 15.02/3.96 |
% 15.02/3.96 | Instantiating formula (296) with e13, e13, all_0_118_118, e11 and discharging atoms op1(e13, e13) = all_0_118_118, op1(e13, e13) = e11, yields:
% 15.02/3.96 | (567) all_0_118_118 = e11
% 15.02/3.96 |
% 15.02/3.96 | Instantiating formula (296) with e13, e13, all_0_124_124, all_0_118_118 and discharging atoms op1(e13, e13) = all_0_118_118, op1(e13, e13) = all_0_124_124, yields:
% 15.02/3.96 | (1514) all_0_118_118 = all_0_124_124
% 15.02/3.96 |
% 15.02/3.96 | Instantiating formula (296) with e11, e11, all_0_123_123, all_0_121_121 and discharging atoms op1(e11, e11) = all_0_121_121, op1(e11, e11) = all_0_123_123, yields:
% 15.02/3.96 | (1787) all_0_121_121 = all_0_123_123
% 15.02/3.96 |
% 15.02/3.96 | Instantiating formula (296) with e11, e11, e13, all_0_121_121 and discharging atoms op1(e11, e11) = all_0_121_121, op1(e11, e11) = e13, yields:
% 15.02/3.96 | (1518) all_0_121_121 = e13
% 15.02/3.96 |
% 15.02/3.96 | Instantiating formula (296) with e10, e10, all_0_119_119, e10 and discharging atoms op1(e10, e10) = all_0_119_119, op1(e10, e10) = e10, yields:
% 15.02/3.96 | (1789) all_0_119_119 = e10
% 15.02/3.96 |
% 15.02/3.96 | Instantiating formula (296) with e10, e10, all_0_122_122, all_0_119_119 and discharging atoms op1(e10, e10) = all_0_119_119, op1(e10, e10) = all_0_122_122, yields:
% 15.02/3.96 | (1790) all_0_119_119 = all_0_122_122
% 15.02/3.96 |
% 15.02/3.96 | Combining equations (567,1514) yields a new equation:
% 15.02/3.96 | (587) all_0_124_124 = e11
% 15.02/3.96 |
% 15.02/3.96 | Combining equations (1790,1789) yields a new equation:
% 15.02/3.96 | (1792) all_0_122_122 = e10
% 15.02/3.96 |
% 15.02/3.96 | Simplifying 1792 yields:
% 15.02/3.96 | (1793) all_0_122_122 = e10
% 15.02/3.96 |
% 15.02/3.96 | Combining equations (1518,1787) yields a new equation:
% 15.02/3.96 | (1794) all_0_123_123 = e13
% 15.02/3.96 |
% 15.02/3.96 | Combining equations (1794,1787) yields a new equation:
% 15.02/3.96 | (1518) all_0_121_121 = e13
% 15.02/3.96 |
% 15.02/3.96 | Combining equations (587,1514) yields a new equation:
% 15.02/3.96 | (567) all_0_118_118 = e11
% 15.02/3.96 |
% 15.02/3.96 +-Applying beta-rule and splitting (293), into two cases.
% 15.02/3.96 |-Branch one:
% 15.02/3.96 | (569) (all_0_116_116 = e12 & all_0_117_117 = e10 & all_0_150_150 = e13 & all_0_154_154 = e11) | (all_0_118_118 = e13 & all_0_119_119 = e12 & all_0_120_120 = e11 & all_0_121_121 = e10) | (all_0_122_122 = e13 & all_0_123_123 = e12 & all_0_124_124 = e11 & all_0_125_125 = e10)
% 15.02/3.96 |
% 15.02/3.96 +-Applying beta-rule and splitting (569), into two cases.
% 15.02/3.96 |-Branch one:
% 15.02/3.96 | (570) (all_0_116_116 = e12 & all_0_117_117 = e10 & all_0_150_150 = e13 & all_0_154_154 = e11) | (all_0_118_118 = e13 & all_0_119_119 = e12 & all_0_120_120 = e11 & all_0_121_121 = e10)
% 15.02/3.96 |
% 15.02/3.96 +-Applying beta-rule and splitting (570), into two cases.
% 15.02/3.96 |-Branch one:
% 15.02/3.96 | (571) all_0_116_116 = e12 & all_0_117_117 = e10 & all_0_150_150 = e13 & all_0_154_154 = e11
% 15.02/3.96 |
% 15.02/3.96 | Applying alpha-rule on (571) yields:
% 15.02/3.96 | (572) all_0_116_116 = e12
% 15.02/3.96 | (573) all_0_117_117 = e10
% 15.02/3.96 | (574) all_0_150_150 = e13
% 15.02/3.96 | (575) all_0_154_154 = e11
% 15.02/3.96 |
% 15.02/3.96 | Combining equations (909,575) yields a new equation:
% 15.02/3.96 | (920) e11 = e10
% 15.02/3.96 |
% 15.02/3.96 | Equations (920) can reduce 284 to:
% 15.02/3.96 | (422) $false
% 15.02/3.96 |
% 15.02/3.96 |-The branch is then unsatisfiable
% 15.02/3.96 |-Branch two:
% 15.02/3.96 | (577) all_0_118_118 = e13 & all_0_119_119 = e12 & all_0_120_120 = e11 & all_0_121_121 = e10
% 15.02/3.96 |
% 15.02/3.96 | Applying alpha-rule on (577) yields:
% 15.02/3.96 | (578) all_0_118_118 = e13
% 15.02/3.96 | (579) all_0_119_119 = e12
% 15.02/3.96 | (580) all_0_120_120 = e11
% 15.02/3.96 | (581) all_0_121_121 = e10
% 15.02/3.96 |
% 15.02/3.96 | Combining equations (578,567) yields a new equation:
% 15.02/3.96 | (913) e13 = e11
% 15.02/3.96 |
% 15.02/3.96 | Simplifying 913 yields:
% 15.02/3.96 | (582) e13 = e11
% 15.02/3.96 |
% 15.02/3.96 | Combining equations (581,1518) yields a new equation:
% 15.02/3.96 | (899) e13 = e10
% 15.02/3.96 |
% 15.02/3.96 | Combining equations (582,899) yields a new equation:
% 15.02/3.96 | (919) e11 = e10
% 15.02/3.96 |
% 15.02/3.96 | Simplifying 919 yields:
% 15.02/3.96 | (920) e11 = e10
% 15.02/3.96 |
% 15.02/3.96 | Equations (920) can reduce 284 to:
% 15.02/3.96 | (422) $false
% 15.02/3.96 |
% 15.02/3.96 |-The branch is then unsatisfiable
% 15.02/3.96 |-Branch two:
% 15.02/3.96 | (584) all_0_122_122 = e13 & all_0_123_123 = e12 & all_0_124_124 = e11 & all_0_125_125 = e10
% 15.02/3.96 |
% 15.02/3.96 | Applying alpha-rule on (584) yields:
% 15.02/3.96 | (585) all_0_122_122 = e13
% 15.02/3.96 | (586) all_0_123_123 = e12
% 15.02/3.96 | (587) all_0_124_124 = e11
% 15.02/3.96 | (588) all_0_125_125 = e10
% 15.02/3.96 |
% 15.02/3.96 | Combining equations (1793,585) yields a new equation:
% 15.02/3.96 | (899) e13 = e10
% 15.02/3.96 |
% 15.02/3.96 | Combining equations (1794,586) yields a new equation:
% 15.02/3.96 | (859) e13 = e12
% 15.02/3.96 |
% 15.02/3.96 | Simplifying 859 yields:
% 15.02/3.96 | (860) e13 = e12
% 15.02/3.96 |
% 15.02/3.96 | Combining equations (899,860) yields a new equation:
% 15.02/3.96 | (928) e12 = e10
% 15.02/3.96 |
% 15.02/3.96 | Equations (928) can reduce 149 to:
% 15.02/3.96 | (422) $false
% 15.02/3.96 |
% 15.02/3.96 |-The branch is then unsatisfiable
% 15.02/3.96 |-Branch two:
% 15.02/3.96 | (592) all_0_126_126 = e12 & all_0_127_127 = e11 & all_0_128_128 = e10 & all_0_145_145 = e13
% 15.02/3.96 |
% 15.02/3.96 | Applying alpha-rule on (592) yields:
% 15.02/3.96 | (593) all_0_126_126 = e12
% 15.02/3.96 | (551) all_0_127_127 = e11
% 15.02/3.96 | (595) all_0_128_128 = e10
% 15.02/3.96 | (596) all_0_145_145 = e13
% 15.02/3.96 |
% 15.02/3.97 | Combining equations (1714,551) yields a new equation:
% 15.02/3.97 | (913) e13 = e11
% 15.02/3.97 |
% 15.02/3.97 | Simplifying 913 yields:
% 15.02/3.97 | (582) e13 = e11
% 15.02/3.97 |
% 15.02/3.97 | Combining equations (596,1032) yields a new equation:
% 15.02/3.97 | (898) e13 = e10
% 15.02/3.97 |
% 15.02/3.97 | Simplifying 898 yields:
% 15.02/3.97 | (899) e13 = e10
% 15.02/3.97 |
% 15.02/3.97 | Combining equations (899,582) yields a new equation:
% 15.02/3.97 | (920) e11 = e10
% 15.02/3.97 |
% 15.02/3.97 | Equations (920) can reduce 284 to:
% 15.02/3.97 | (422) $false
% 15.02/3.97 |
% 15.02/3.97 |-The branch is then unsatisfiable
% 15.02/3.97 |-Branch two:
% 15.02/3.97 | (922) ~ (all_0_149_149 = e11)
% 15.02/3.97 | (1509) all_0_149_149 = e12 | all_0_149_149 = e10
% 15.02/3.97 |
% 15.02/3.97 +-Applying beta-rule and splitting (1509), into two cases.
% 15.02/3.97 |-Branch one:
% 15.02/3.97 | (1385) all_0_149_149 = e12
% 15.02/3.97 |
% 15.02/3.97 | Equations (1385) can reduce 1297 to:
% 15.02/3.97 | (422) $false
% 15.02/3.97 |
% 15.02/3.97 |-The branch is then unsatisfiable
% 15.02/3.97 |-Branch two:
% 15.02/3.97 | (1297) ~ (all_0_149_149 = e12)
% 15.02/3.97 | (903) all_0_149_149 = e10
% 15.02/3.97 |
% 15.02/3.97 | Equations (903) can reduce 925 to:
% 15.02/3.97 | (422) $false
% 15.02/3.97 |
% 15.02/3.97 |-The branch is then unsatisfiable
% 15.02/3.97 |-Branch two:
% 15.02/3.97 | (1035) ~ (all_0_145_145 = e10)
% 15.02/3.97 | (1036) all_0_149_149 = e10 | all_0_152_152 = e10
% 15.02/3.97 |
% 15.02/3.97 +-Applying beta-rule and splitting (1036), into two cases.
% 15.02/3.97 |-Branch one:
% 15.02/3.97 | (903) all_0_149_149 = e10
% 15.02/3.97 |
% 15.02/3.97 | Equations (903) can reduce 925 to:
% 15.02/3.97 | (422) $false
% 15.02/3.97 |
% 15.02/3.97 |-The branch is then unsatisfiable
% 15.02/3.97 |-Branch two:
% 15.02/3.97 | (925) ~ (all_0_149_149 = e10)
% 15.02/3.97 | (906) all_0_152_152 = e10
% 15.02/3.97 |
% 15.02/3.97 | Combining equations (1194,906) yields a new equation:
% 15.02/3.97 | (898) e13 = e10
% 15.02/3.97 |
% 15.02/3.97 | Simplifying 898 yields:
% 15.02/3.97 | (899) e13 = e10
% 15.02/3.97 |
% 15.02/3.97 | Equations (899) can reduce 176 to:
% 15.02/3.97 | (422) $false
% 15.02/3.97 |
% 15.02/3.97 |-The branch is then unsatisfiable
% 15.02/3.97 |-Branch two:
% 15.02/3.97 | (546) ~ (all_0_150_150 = e13)
% 15.02/3.97 | (545) all_0_153_153 = e13
% 15.02/3.97 |
% 15.02/3.97 | Combining equations (990,545) yields a new equation:
% 15.02/3.97 | (582) e13 = e11
% 15.02/3.97 |
% 15.02/3.97 | Equations (582) can reduce 358 to:
% 15.02/3.97 | (422) $false
% 15.02/3.97 |
% 15.02/3.97 |-The branch is then unsatisfiable
% 15.02/3.97 |-Branch two:
% 15.02/3.97 | (598) ~ (all_0_144_144 = e13)
% 15.02/3.97 | (609) all_0_144_144 = e10
% 15.02/3.97 |
% 15.02/3.97 | Equations (609) can reduce 245 to:
% 15.02/3.97 | (610) ~ (all_0_146_146 = e10)
% 15.02/3.97 |
% 15.02/3.97 | Simplifying 610 yields:
% 15.02/3.97 | (53) ~ (all_0_146_146 = e10)
% 15.02/3.97 |
% 15.02/3.97 | Equations (609) can reduce 122 to:
% 15.02/3.97 | (1862) ~ (all_0_148_148 = e10)
% 15.02/3.97 |
% 15.02/3.97 | Simplifying 1862 yields:
% 15.02/3.97 | (901) ~ (all_0_148_148 = e10)
% 15.02/3.97 |
% 15.02/3.97 | Equations (609) can reduce 598 to:
% 15.02/3.97 | (976) ~ (e13 = e10)
% 15.02/3.97 |
% 15.02/3.97 | Simplifying 976 yields:
% 15.02/3.97 | (176) ~ (e13 = e10)
% 15.02/3.97 |
% 15.02/3.97 +-Applying beta-rule and splitting (332), into two cases.
% 15.02/3.97 |-Branch one:
% 15.02/3.97 | (555) all_0_144_144 = e13
% 15.02/3.97 |
% 15.02/3.97 | Combining equations (609,555) yields a new equation:
% 15.02/3.97 | (899) e13 = e10
% 15.02/3.97 |
% 15.02/3.97 | Equations (899) can reduce 176 to:
% 15.02/3.97 | (422) $false
% 15.02/3.97 |
% 15.02/3.97 |-The branch is then unsatisfiable
% 15.02/3.97 |-Branch two:
% 15.02/3.97 | (598) ~ (all_0_144_144 = e13)
% 15.02/3.97 | (1276) all_0_145_145 = e13 | all_0_146_146 = e13 | all_0_147_147 = e13
% 15.02/3.97 |
% 15.02/3.97 +-Applying beta-rule and splitting (1276), into two cases.
% 15.02/3.97 |-Branch one:
% 15.02/3.97 | (596) all_0_145_145 = e13
% 15.02/3.97 |
% 15.02/3.97 | Equations (596) can reduce 557 to:
% 15.02/3.97 | (422) $false
% 15.02/3.97 |
% 15.02/3.97 |-The branch is then unsatisfiable
% 15.02/3.97 |-Branch two:
% 15.02/3.97 | (557) ~ (all_0_145_145 = e13)
% 15.02/3.97 | (1286) all_0_146_146 = e13 | all_0_147_147 = e13
% 15.02/3.97 |
% 15.02/3.97 +-Applying beta-rule and splitting (1286), into two cases.
% 15.02/3.97 |-Branch one:
% 15.02/3.97 | (959) all_0_146_146 = e13
% 15.02/3.97 |
% 15.02/3.97 | Equations (959) can reduce 53 to:
% 15.02/3.97 | (176) ~ (e13 = e10)
% 15.02/3.97 |
% 15.02/3.97 +-Applying beta-rule and splitting (198), into two cases.
% 15.02/3.97 |-Branch one:
% 15.02/3.97 | (852) all_0_146_146 = e12
% 15.02/3.97 |
% 15.02/3.97 | Combining equations (959,852) yields a new equation:
% 15.02/3.97 | (859) e13 = e12
% 15.02/3.97 |
% 15.02/3.97 | Simplifying 859 yields:
% 15.02/3.97 | (860) e13 = e12
% 15.02/3.97 |
% 15.02/3.97 | Equations (860) can reduce 277 to:
% 15.02/3.97 | (422) $false
% 15.02/3.97 |
% 15.02/3.97 |-The branch is then unsatisfiable
% 15.02/3.97 |-Branch two:
% 15.02/3.97 | (940) ~ (all_0_146_146 = e12)
% 15.02/3.97 | (890) all_0_150_150 = e12
% 15.02/3.97 |
% 15.02/3.97 | Combining equations (890,1181) yields a new equation:
% 15.02/3.97 | (1883) all_0_127_127 = e12
% 15.02/3.97 |
% 15.02/3.97 | Equations (890) can reduce 52 to:
% 15.02/3.97 | (64) ~ (all_0_148_148 = e12)
% 15.02/3.97 |
% 15.02/3.97 | Equations (890) can reduce 356 to:
% 15.02/3.97 | (1297) ~ (all_0_149_149 = e12)
% 15.02/3.97 |
% 15.02/3.97 | Equations (890) can reduce 889 to:
% 15.02/3.97 | (305) ~ (e12 = e11)
% 15.02/3.97 |
% 15.02/3.97 | From (890) and (304) follows:
% 15.02/3.97 | (882) op1(e11, e11) = e12
% 15.02/3.97 |
% 15.02/3.97 +-Applying beta-rule and splitting (217), into two cases.
% 15.02/3.97 |-Branch one:
% 15.02/3.97 | (555) all_0_144_144 = e13
% 15.02/3.97 |
% 15.02/3.97 | Combining equations (555,609) yields a new equation:
% 15.02/3.97 | (898) e13 = e10
% 15.02/3.97 |
% 15.02/3.97 | Simplifying 898 yields:
% 15.02/3.97 | (899) e13 = e10
% 15.02/3.97 |
% 15.02/3.97 | Equations (899) can reduce 176 to:
% 15.02/3.97 | (422) $false
% 15.02/3.97 |
% 15.02/3.97 |-The branch is then unsatisfiable
% 15.02/3.97 |-Branch two:
% 15.02/3.97 | (598) ~ (all_0_144_144 = e13)
% 15.02/3.97 | (562) all_0_148_148 = e13
% 15.02/3.97 |
% 15.02/3.97 | Equations (562) can reduce 64 to:
% 15.02/3.97 | (277) ~ (e13 = e12)
% 15.02/3.97 |
% 15.02/3.97 | Equations (562) can reduce 50 to:
% 15.02/3.97 | (358) ~ (e13 = e11)
% 15.02/3.97 |
% 15.02/3.97 | Equations (562) can reduce 901 to:
% 15.02/3.97 | (176) ~ (e13 = e10)
% 15.02/3.97 |
% 15.02/3.97 +-Applying beta-rule and splitting (75), into two cases.
% 15.02/3.97 |-Branch one:
% 15.02/3.97 | (1305) all_0_145_145 = e12
% 15.02/3.97 |
% 15.02/3.97 | Equations (1305) can reduce 1355 to:
% 15.02/3.97 | (422) $false
% 15.02/3.97 |
% 15.02/3.97 |-The branch is then unsatisfiable
% 15.02/3.97 |-Branch two:
% 15.02/3.97 | (1355) ~ (all_0_145_145 = e12)
% 15.02/3.97 | (1356) all_0_146_146 = e12 | all_0_147_147 = e12
% 15.02/3.97 |
% 15.02/3.97 +-Applying beta-rule and splitting (1356), into two cases.
% 15.02/3.97 |-Branch one:
% 15.02/3.97 | (852) all_0_146_146 = e12
% 15.02/3.97 |
% 15.02/3.97 | Combining equations (852,959) yields a new equation:
% 15.02/3.97 | (860) e13 = e12
% 15.02/3.97 |
% 15.02/3.97 | Equations (860) can reduce 277 to:
% 15.02/3.97 | (422) $false
% 15.02/3.97 |
% 15.02/3.97 |-The branch is then unsatisfiable
% 15.02/3.97 |-Branch two:
% 15.02/3.97 | (940) ~ (all_0_146_146 = e12)
% 15.02/3.97 | (864) all_0_147_147 = e12
% 15.02/3.97 |
% 15.02/3.97 | Equations (864) can reduce 378 to:
% 15.02/3.97 | (1355) ~ (all_0_145_145 = e12)
% 15.02/3.97 |
% 15.02/3.97 | Equations (864) can reduce 354 to:
% 15.02/3.97 | (942) ~ (all_0_151_151 = e12)
% 15.02/3.97 |
% 15.02/3.97 | Simplifying 942 yields:
% 15.02/3.97 | (943) ~ (all_0_151_151 = e12)
% 15.02/3.97 |
% 15.02/3.97 | From (864)(864) and (352) follows:
% 15.02/3.97 | (1909) op1(e12, e12) = all_0_121_121
% 15.02/3.97 |
% 15.02/3.97 +-Applying beta-rule and splitting (190), into two cases.
% 15.02/3.97 |-Branch one:
% 15.02/3.97 | (912) all_0_145_145 = e11
% 15.02/3.97 |
% 15.02/3.97 | Equations (912) can reduce 212 to:
% 15.02/3.97 | (1911) ~ (all_0_149_149 = e11)
% 15.02/3.97 |
% 15.02/3.97 | Simplifying 1911 yields:
% 15.02/3.97 | (922) ~ (all_0_149_149 = e11)
% 15.02/3.97 |
% 15.02/3.97 | Equations (912) can reduce 1355 to:
% 15.02/3.97 | (884) ~ (e12 = e11)
% 15.02/3.97 |
% 15.02/3.97 | Simplifying 884 yields:
% 15.02/3.97 | (305) ~ (e12 = e11)
% 15.02/3.97 |
% 15.02/3.97 | From (912)(912) and (90) follows:
% 15.02/3.97 | (1466) op1(e11, e11) = all_0_119_119
% 15.02/3.97 |
% 15.02/3.97 | From (912) and (170) follows:
% 15.02/3.97 | (1467) op1(e12, e12) = e11
% 15.02/3.97 |
% 15.02/3.97 +-Applying beta-rule and splitting (287), into two cases.
% 15.02/3.97 |-Branch one:
% 15.02/3.97 | (918) all_0_149_149 = e11
% 15.02/3.97 |
% 15.02/3.97 | Equations (918) can reduce 922 to:
% 15.02/3.97 | (422) $false
% 15.02/3.97 |
% 15.02/3.97 |-The branch is then unsatisfiable
% 15.02/3.97 |-Branch two:
% 15.02/3.97 | (922) ~ (all_0_149_149 = e11)
% 15.02/3.97 | (1018) all_0_150_150 = e11 | all_0_151_151 = e11
% 15.02/3.97 |
% 15.02/3.97 +-Applying beta-rule and splitting (383), into two cases.
% 15.02/3.97 |-Branch one:
% 15.02/3.97 | (565) all_0_148_148 = e10
% 15.02/3.97 |
% 15.02/3.97 | Combining equations (562,565) yields a new equation:
% 15.02/3.97 | (898) e13 = e10
% 15.02/3.97 |
% 15.02/3.97 | Simplifying 898 yields:
% 15.02/3.97 | (899) e13 = e10
% 15.02/3.97 |
% 15.02/3.97 | Equations (899) can reduce 176 to:
% 15.02/3.97 | (422) $false
% 15.02/3.97 |
% 15.02/3.97 |-The branch is then unsatisfiable
% 15.02/3.97 |-Branch two:
% 15.02/3.97 | (901) ~ (all_0_148_148 = e10)
% 15.02/3.97 | (902) all_0_149_149 = e10 | all_0_151_151 = e10
% 15.02/3.97 |
% 15.02/3.97 +-Applying beta-rule and splitting (902), into two cases.
% 15.02/3.97 |-Branch one:
% 15.02/3.97 | (903) all_0_149_149 = e10
% 15.02/3.97 |
% 15.02/3.97 | Equations (903) can reduce 298 to:
% 15.02/3.97 | (1436) ~ (all_0_151_151 = e10)
% 15.02/3.97 |
% 15.02/3.97 | Simplifying 1436 yields:
% 15.02/3.97 | (1028) ~ (all_0_151_151 = e10)
% 15.02/3.97 |
% 15.02/3.97 | Equations (903) can reduce 1297 to:
% 15.02/3.97 | (1454) ~ (e12 = e10)
% 15.02/3.97 |
% 15.02/3.97 | Simplifying 1454 yields:
% 15.02/3.97 | (149) ~ (e12 = e10)
% 15.02/3.97 |
% 15.02/3.97 +-Applying beta-rule and splitting (69), into two cases.
% 15.02/3.98 |-Branch one:
% 15.02/3.98 | (874) all_0_147_147 = e11
% 15.02/3.98 |
% 15.02/3.98 | Combining equations (864,874) yields a new equation:
% 15.02/3.98 | (1020) e12 = e11
% 15.02/3.98 |
% 15.02/3.98 | Simplifying 1020 yields:
% 15.02/3.98 | (887) e12 = e11
% 15.02/3.98 |
% 15.02/3.98 | Equations (887) can reduce 305 to:
% 15.02/3.98 | (422) $false
% 15.02/3.98 |
% 15.02/3.98 |-The branch is then unsatisfiable
% 15.02/3.98 |-Branch two:
% 15.02/3.98 | (933) ~ (all_0_147_147 = e11)
% 15.02/3.98 | (1393) all_0_151_151 = e11 | all_0_154_154 = e11
% 15.02/3.98 |
% 15.02/3.98 | Equations (864) can reduce 933 to:
% 15.02/3.98 | (305) ~ (e12 = e11)
% 15.02/3.98 |
% 15.02/3.98 +-Applying beta-rule and splitting (1018), into two cases.
% 15.02/3.98 |-Branch one:
% 15.02/3.98 | (883) all_0_150_150 = e11
% 15.02/3.98 |
% 15.02/3.98 | Combining equations (883,890) yields a new equation:
% 15.02/3.98 | (887) e12 = e11
% 15.02/3.98 |
% 15.02/3.98 | Equations (887) can reduce 305 to:
% 15.02/3.98 | (422) $false
% 15.02/3.98 |
% 15.02/3.98 |-The branch is then unsatisfiable
% 15.02/3.98 |-Branch two:
% 15.02/3.98 | (889) ~ (all_0_150_150 = e11)
% 15.02/3.98 | (1024) all_0_151_151 = e11
% 15.02/3.98 |
% 15.02/3.98 | Equations (1024) can reduce 943 to:
% 15.02/3.98 | (884) ~ (e12 = e11)
% 15.02/3.98 |
% 15.02/3.98 | Simplifying 884 yields:
% 15.02/3.98 | (305) ~ (e12 = e11)
% 15.02/3.98 |
% 15.02/3.98 | Equations (1024) can reduce 1028 to:
% 15.02/3.98 | (284) ~ (e11 = e10)
% 15.02/3.98 |
% 15.02/3.98 | From (1024)(1024) and (282) follows:
% 15.02/3.98 | (1947) op1(e11, e11) = all_0_125_125
% 15.02/3.98 |
% 15.02/3.98 | Instantiating formula (296) with e12, e12, e11, all_0_121_121 and discharging atoms op1(e12, e12) = all_0_121_121, op1(e12, e12) = e11, yields:
% 15.02/3.98 | (1948) all_0_121_121 = e11
% 15.02/3.98 |
% 15.02/3.98 | Instantiating formula (296) with e11, e11, all_0_125_125, all_0_119_119 and discharging atoms op1(e11, e11) = all_0_119_119, op1(e11, e11) = all_0_125_125, yields:
% 15.02/3.98 | (1949) all_0_119_119 = all_0_125_125
% 15.02/3.98 |
% 15.02/3.98 | Instantiating formula (296) with e11, e11, e12, all_0_119_119 and discharging atoms op1(e11, e11) = all_0_119_119, op1(e11, e11) = e12, yields:
% 15.02/3.98 | (579) all_0_119_119 = e12
% 15.02/3.98 |
% 15.02/3.98 | Combining equations (1949,579) yields a new equation:
% 15.02/3.98 | (1951) all_0_125_125 = e12
% 15.02/3.98 |
% 15.02/3.98 | Simplifying 1951 yields:
% 15.02/3.98 | (1952) all_0_125_125 = e12
% 15.02/3.98 |
% 15.02/3.98 +-Applying beta-rule and splitting (293), into two cases.
% 15.02/3.98 |-Branch one:
% 15.02/3.98 | (569) (all_0_116_116 = e12 & all_0_117_117 = e10 & all_0_150_150 = e13 & all_0_154_154 = e11) | (all_0_118_118 = e13 & all_0_119_119 = e12 & all_0_120_120 = e11 & all_0_121_121 = e10) | (all_0_122_122 = e13 & all_0_123_123 = e12 & all_0_124_124 = e11 & all_0_125_125 = e10)
% 15.02/3.98 |
% 15.02/3.98 +-Applying beta-rule and splitting (569), into two cases.
% 15.02/3.98 |-Branch one:
% 15.02/3.98 | (570) (all_0_116_116 = e12 & all_0_117_117 = e10 & all_0_150_150 = e13 & all_0_154_154 = e11) | (all_0_118_118 = e13 & all_0_119_119 = e12 & all_0_120_120 = e11 & all_0_121_121 = e10)
% 15.02/3.98 |
% 15.02/3.98 +-Applying beta-rule and splitting (570), into two cases.
% 15.02/3.98 |-Branch one:
% 15.02/3.98 | (571) all_0_116_116 = e12 & all_0_117_117 = e10 & all_0_150_150 = e13 & all_0_154_154 = e11
% 15.02/3.98 |
% 15.02/3.98 | Applying alpha-rule on (571) yields:
% 15.02/3.98 | (572) all_0_116_116 = e12
% 15.02/3.98 | (573) all_0_117_117 = e10
% 15.02/3.98 | (574) all_0_150_150 = e13
% 15.02/3.98 | (575) all_0_154_154 = e11
% 15.02/3.98 |
% 15.02/3.98 | Combining equations (909,575) yields a new equation:
% 15.02/3.98 | (920) e11 = e10
% 15.02/3.98 |
% 15.02/3.98 | Equations (920) can reduce 284 to:
% 15.02/3.98 | (422) $false
% 15.02/3.98 |
% 15.02/3.98 |-The branch is then unsatisfiable
% 15.02/3.98 |-Branch two:
% 15.02/3.98 | (577) all_0_118_118 = e13 & all_0_119_119 = e12 & all_0_120_120 = e11 & all_0_121_121 = e10
% 15.02/3.98 |
% 15.02/3.98 | Applying alpha-rule on (577) yields:
% 15.02/3.98 | (578) all_0_118_118 = e13
% 15.02/3.98 | (579) all_0_119_119 = e12
% 15.02/3.98 | (580) all_0_120_120 = e11
% 15.02/3.98 | (581) all_0_121_121 = e10
% 15.02/3.98 |
% 15.02/3.98 | Combining equations (581,1948) yields a new equation:
% 15.02/3.98 | (920) e11 = e10
% 15.02/3.98 |
% 15.35/3.98 | Equations (920) can reduce 284 to:
% 15.35/3.98 | (422) $false
% 15.35/3.98 |
% 15.35/3.98 |-The branch is then unsatisfiable
% 15.35/3.98 |-Branch two:
% 15.35/3.98 | (584) all_0_122_122 = e13 & all_0_123_123 = e12 & all_0_124_124 = e11 & all_0_125_125 = e10
% 15.35/3.98 |
% 15.35/3.98 | Applying alpha-rule on (584) yields:
% 15.35/3.98 | (585) all_0_122_122 = e13
% 15.35/3.98 | (586) all_0_123_123 = e12
% 15.35/3.98 | (587) all_0_124_124 = e11
% 15.35/3.98 | (588) all_0_125_125 = e10
% 15.35/3.98 |
% 15.35/3.98 | Combining equations (588,1952) yields a new equation:
% 15.35/3.98 | (928) e12 = e10
% 15.35/3.98 |
% 15.35/3.98 | Equations (928) can reduce 149 to:
% 15.35/3.98 | (422) $false
% 15.35/3.98 |
% 15.35/3.98 |-The branch is then unsatisfiable
% 15.35/3.98 |-Branch two:
% 15.35/3.98 | (592) all_0_126_126 = e12 & all_0_127_127 = e11 & all_0_128_128 = e10 & all_0_145_145 = e13
% 15.35/3.98 |
% 15.35/3.98 | Applying alpha-rule on (592) yields:
% 15.35/3.98 | (593) all_0_126_126 = e12
% 15.35/3.98 | (551) all_0_127_127 = e11
% 15.35/3.98 | (595) all_0_128_128 = e10
% 15.35/3.98 | (596) all_0_145_145 = e13
% 15.35/3.98 |
% 15.35/3.98 | Combining equations (1883,551) yields a new equation:
% 15.35/3.98 | (1020) e12 = e11
% 15.35/3.98 |
% 15.35/3.98 | Simplifying 1020 yields:
% 15.35/3.98 | (887) e12 = e11
% 15.35/3.98 |
% 15.35/3.98 | Equations (887) can reduce 305 to:
% 15.35/3.98 | (422) $false
% 15.35/3.98 |
% 15.35/3.98 |-The branch is then unsatisfiable
% 15.35/3.98 |-Branch two:
% 15.35/3.98 | (925) ~ (all_0_149_149 = e10)
% 15.35/3.98 | (926) all_0_151_151 = e10
% 15.35/3.98 |
% 15.35/3.98 | Equations (926) can reduce 1028 to:
% 15.35/3.98 | (422) $false
% 15.35/3.98 |
% 15.35/3.98 |-The branch is then unsatisfiable
% 15.35/3.98 |-Branch two:
% 15.35/3.98 | (916) ~ (all_0_145_145 = e11)
% 15.35/3.98 | (1588) all_0_146_146 = e11 | all_0_147_147 = e11
% 15.35/3.98 |
% 15.35/3.98 +-Applying beta-rule and splitting (1588), into two cases.
% 15.35/3.98 |-Branch one:
% 15.35/3.98 | (963) all_0_146_146 = e11
% 15.35/3.98 |
% 15.35/3.98 | Combining equations (959,963) yields a new equation:
% 15.35/3.98 | (913) e13 = e11
% 15.35/3.98 |
% 15.35/3.98 | Simplifying 913 yields:
% 15.35/3.98 | (582) e13 = e11
% 15.35/3.98 |
% 15.35/3.98 | Equations (582) can reduce 358 to:
% 15.35/3.98 | (422) $false
% 15.35/3.98 |
% 15.35/3.98 |-The branch is then unsatisfiable
% 15.35/3.98 |-Branch two:
% 15.35/3.98 | (1139) ~ (all_0_146_146 = e11)
% 15.35/3.98 | (874) all_0_147_147 = e11
% 15.35/3.98 |
% 15.35/3.98 | Combining equations (864,874) yields a new equation:
% 15.35/3.98 | (1020) e12 = e11
% 15.35/3.98 |
% 15.35/3.98 | Simplifying 1020 yields:
% 15.35/3.98 | (887) e12 = e11
% 15.35/3.98 |
% 15.35/3.98 | Equations (887) can reduce 305 to:
% 15.35/3.98 | (422) $false
% 15.35/3.98 |
% 15.35/3.98 |-The branch is then unsatisfiable
% 15.35/3.98 |-Branch two:
% 15.35/3.98 | (653) ~ (all_0_146_146 = e13)
% 15.35/3.98 | (870) all_0_147_147 = e13
% 15.35/3.98 |
% 15.35/3.98 | Equations (870) can reduce 670 to:
% 15.35/3.98 | (422) $false
% 15.35/3.98 |
% 15.35/3.98 |-The branch is then unsatisfiable
% 15.35/3.98 |-Branch two:
% 15.35/3.98 | (655) ~ (all_0_152_152 = e13)
% 15.35/3.98 | (1209) all_0_153_153 = e13 | all_0_154_154 = e13
% 15.35/3.98 |
% 15.35/3.98 +-Applying beta-rule and splitting (1209), into two cases.
% 15.35/3.98 |-Branch one:
% 15.35/3.98 | (545) all_0_153_153 = e13
% 15.35/3.98 |
% 15.35/3.98 | Combining equations (545,990) yields a new equation:
% 15.35/3.98 | (913) e13 = e11
% 15.35/3.98 |
% 15.35/3.98 | Simplifying 913 yields:
% 15.35/3.98 | (582) e13 = e11
% 15.35/3.98 |
% 15.35/3.98 | Equations (582) can reduce 358 to:
% 15.35/3.98 | (422) $false
% 15.35/3.98 |
% 15.35/3.98 |-The branch is then unsatisfiable
% 15.35/3.98 |-Branch two:
% 15.35/3.98 | (1175) ~ (all_0_153_153 = e13)
% 15.35/3.98 | (590) all_0_154_154 = e13
% 15.35/3.98 |
% 15.35/3.98 | Equations (590) can reduce 548 to:
% 15.35/3.98 | (422) $false
% 15.35/3.98 |
% 15.35/3.98 |-The branch is then unsatisfiable
% 15.35/3.98 |-Branch two:
% 15.35/3.98 | (2010) ~ (all_0_140_140 = e23)
% 15.35/3.98 | (726) all_0_140_140 = e21
% 15.35/3.98 |
% 15.35/3.98 | Equations (726) can reduce 262 to:
% 15.35/3.98 | (694) ~ (all_0_133_133 = e21)
% 15.35/3.98 |
% 15.35/3.98 | Equations (726) can reduce 182 to:
% 15.35/3.98 | (733) ~ (all_0_137_137 = e21)
% 15.35/3.98 |
% 15.35/3.98 | Equations (726) can reduce 240 to:
% 15.35/3.98 | (724) ~ (all_0_139_139 = e21)
% 15.35/3.98 |
% 15.35/3.98 | Equations (726) can reduce 76 to:
% 15.35/3.98 | (696) ~ (all_0_141_141 = e21)
% 15.35/3.98 |
% 15.35/3.98 | Simplifying 696 yields:
% 15.35/3.98 | (697) ~ (all_0_141_141 = e21)
% 15.35/3.98 |
% 15.35/3.98 | From (726)(726) and (381) follows:
% 15.35/3.98 | (2017) op2(e21, e21) = all_0_114_114
% 15.35/3.98 |
% 15.35/3.98 | Instantiating formula (328) with e21, e21, all_0_114_114, all_0_137_137 and discharging atoms op2(e21, e21) = all_0_114_114, op2(e21, e21) = all_0_137_137, yields:
% 15.35/3.98 | (2018) all_0_114_114 = all_0_137_137
% 15.35/3.98 |
% 15.35/3.98 | From (2018) and (2017) follows:
% 15.35/3.98 | (281) op2(e21, e21) = all_0_137_137
% 15.35/3.98 |
% 15.35/3.98 +-Applying beta-rule and splitting (314), into two cases.
% 15.35/3.98 |-Branch one:
% 15.35/3.98 | (513) all_0_129_129 = e23
% 15.35/3.98 |
% 15.35/3.98 | Equations (513) can reduce 7 to:
% 15.35/3.98 | (2021) ~ (all_0_130_130 = e23)
% 15.35/3.98 |
% 15.35/3.98 | Simplifying 2021 yields:
% 15.35/3.98 | (2022) ~ (all_0_130_130 = e23)
% 15.35/3.98 |
% 15.35/3.98 | Equations (513) can reduce 116 to:
% 15.35/3.98 | (2023) ~ (all_0_136_136 = e23)
% 15.35/3.99 |
% 15.35/3.99 | Simplifying 2023 yields:
% 15.35/3.99 | (2024) ~ (all_0_136_136 = e23)
% 15.35/3.99 |
% 15.35/3.99 | Equations (513) can reduce 117 to:
% 15.35/3.99 | (508) ~ (all_0_139_139 = e23)
% 15.35/3.99 |
% 15.35/3.99 | Simplifying 508 yields:
% 15.35/3.99 | (509) ~ (all_0_139_139 = e23)
% 15.35/3.99 |
% 15.35/3.99 | Equations (513) can reduce 40 to:
% 15.35/3.99 | (264) ~ (e23 = e21)
% 15.35/3.99 |
% 15.35/3.99 | From (513)(513) and (362) follows:
% 15.35/3.99 | (2028) op2(e23, e23) = all_0_103_103
% 15.35/3.99 |
% 15.35/3.99 +-Applying beta-rule and splitting (175), into two cases.
% 15.35/3.99 |-Branch one:
% 15.35/3.99 | (839) all_0_139_139 = e23
% 15.35/3.99 |
% 15.35/3.99 | Equations (839) can reduce 509 to:
% 15.35/3.99 | (422) $false
% 15.35/3.99 |
% 15.35/3.99 |-The branch is then unsatisfiable
% 15.35/3.99 |-Branch two:
% 15.35/3.99 | (509) ~ (all_0_139_139 = e23)
% 15.35/3.99 | (842) all_0_139_139 = e21 | all_0_139_139 = e20
% 15.35/3.99 |
% 15.35/3.99 +-Applying beta-rule and splitting (842), into two cases.
% 15.35/3.99 |-Branch one:
% 15.35/3.99 | (709) all_0_139_139 = e21
% 15.35/3.99 |
% 15.35/3.99 | Equations (709) can reduce 724 to:
% 15.35/3.99 | (422) $false
% 15.35/3.99 |
% 15.35/3.99 |-The branch is then unsatisfiable
% 15.35/3.99 |-Branch two:
% 15.35/3.99 | (724) ~ (all_0_139_139 = e21)
% 15.35/3.99 | (762) all_0_139_139 = e20
% 15.35/3.99 |
% 15.35/3.99 | Equations (762) can reduce 509 to:
% 15.35/3.99 | (764) ~ (e23 = e20)
% 15.35/3.99 |
% 15.35/3.99 | Simplifying 764 yields:
% 15.35/3.99 | (249) ~ (e23 = e20)
% 15.35/3.99 |
% 15.35/3.99 | From (762)(762) and (252) follows:
% 15.35/3.99 | (2039) op2(e20, e20) = all_0_113_113
% 15.35/3.99 |
% 15.35/3.99 +-Applying beta-rule and splitting (257), into two cases.
% 15.35/3.99 |-Branch one:
% 15.35/3.99 | (516) all_0_130_130 = e23
% 15.35/3.99 |
% 15.35/3.99 | Equations (516) can reduce 2022 to:
% 15.35/3.99 | (422) $false
% 15.35/3.99 |
% 15.35/3.99 |-The branch is then unsatisfiable
% 15.35/3.99 |-Branch two:
% 15.35/3.99 | (2022) ~ (all_0_130_130 = e23)
% 15.35/3.99 | (2043) all_0_130_130 = e22
% 15.35/3.99 |
% 15.35/3.99 | Equations (2043) can reduce 158 to:
% 15.35/3.99 | (2044) ~ (all_0_134_134 = e22)
% 15.35/3.99 |
% 15.35/3.99 | Simplifying 2044 yields:
% 15.35/3.99 | (1158) ~ (all_0_134_134 = e22)
% 15.35/3.99 |
% 15.35/3.99 | From (2043)(2043) and (87) follows:
% 15.35/3.99 | (2046) op2(e22, e22) = all_0_104_104
% 15.35/3.99 |
% 15.35/3.99 +-Applying beta-rule and splitting (215), into two cases.
% 15.35/3.99 |-Branch one:
% 15.35/3.99 | (839) all_0_139_139 = e23
% 15.35/3.99 |
% 15.35/3.99 | Combining equations (762,839) yields a new equation:
% 15.35/3.99 | (421) e23 = e20
% 15.35/3.99 |
% 15.35/3.99 | Equations (421) can reduce 249 to:
% 15.35/3.99 | (422) $false
% 15.35/3.99 |
% 15.35/3.99 |-The branch is then unsatisfiable
% 15.35/3.99 |-Branch two:
% 15.35/3.99 | (509) ~ (all_0_139_139 = e23)
% 15.35/3.99 | (2051) all_0_140_140 = e23 | all_0_141_141 = e23
% 15.35/3.99 |
% 15.35/3.99 +-Applying beta-rule and splitting (2051), into two cases.
% 15.35/3.99 |-Branch one:
% 15.35/3.99 | (407) all_0_140_140 = e23
% 15.35/3.99 |
% 15.35/3.99 | Combining equations (726,407) yields a new equation:
% 15.35/3.99 | (441) e23 = e21
% 15.35/3.99 |
% 15.35/3.99 | Equations (441) can reduce 264 to:
% 15.35/3.99 | (422) $false
% 15.35/3.99 |
% 15.35/3.99 |-The branch is then unsatisfiable
% 15.35/3.99 |-Branch two:
% 15.35/3.99 | (2010) ~ (all_0_140_140 = e23)
% 15.35/3.99 | (449) all_0_141_141 = e23
% 15.35/3.99 |
% 15.35/3.99 | Equations (449) can reduce 229 to:
% 15.35/3.99 | (521) ~ (all_0_138_138 = e23)
% 15.35/3.99 |
% 15.35/3.99 | From (449)(449) and (103) follows:
% 15.35/3.99 | (2058) op2(e23, e23) = all_0_115_115
% 15.35/3.99 |
% 15.35/3.99 | From (449) and (295) follows:
% 15.35/3.99 | (2059) op2(e20, e23) = all_0_102_102
% 15.35/3.99 |
% 15.35/3.99 | From (449) and (28) follows:
% 15.35/3.99 | (2060) op2(e20, e20) = e23
% 15.35/3.99 |
% 15.35/3.99 | Instantiating formula (328) with e23, e23, all_0_103_103, e21 and discharging atoms op2(e23, e23) = all_0_103_103, op2(e23, e23) = e21, yields:
% 15.35/3.99 | (2061) all_0_103_103 = e21
% 15.35/3.99 |
% 15.35/3.99 | Instantiating formula (328) with e23, e23, all_0_115_115, all_0_103_103 and discharging atoms op2(e23, e23) = all_0_103_103, op2(e23, e23) = all_0_115_115, yields:
% 15.35/3.99 | (2062) all_0_103_103 = all_0_115_115
% 15.35/3.99 |
% 15.35/3.99 | Instantiating formula (328) with e22, e22, all_0_104_104, all_0_132_132 and discharging atoms op2(e22, e22) = all_0_104_104, op2(e22, e22) = all_0_132_132, yields:
% 15.35/3.99 | (2063) all_0_104_104 = all_0_132_132
% 15.35/3.99 |
% 15.35/3.99 | Instantiating formula (328) with e20, e23, all_0_102_102, e22 and discharging atoms op2(e20, e23) = all_0_102_102, op2(e20, e23) = e22, yields:
% 15.35/3.99 | (2064) all_0_102_102 = e22
% 15.35/3.99 |
% 15.35/3.99 | Instantiating formula (328) with e20, e20, e23, all_0_113_113 and discharging atoms op2(e20, e20) = all_0_113_113, op2(e20, e20) = e23, yields:
% 15.35/3.99 | (2065) all_0_113_113 = e23
% 15.35/3.99 |
% 15.35/3.99 | Combining equations (2061,2062) yields a new equation:
% 15.35/3.99 | (2066) all_0_115_115 = e21
% 15.35/3.99 |
% 15.35/3.99 | From (2064)(2064) and (364) follows:
% 15.35/3.99 | (2067) op2(e22, e22) = all_0_95_95
% 15.35/3.99 |
% 15.35/3.99 | From (2064) and (57) follows:
% 15.35/3.99 | (2068) op2(e22, e20) = all_0_101_101
% 15.35/3.99 |
% 15.35/3.99 | From (2066) and (2058) follows:
% 15.35/3.99 | (266) op2(e23, e23) = e21
% 15.35/3.99 |
% 15.35/3.99 | From (2063) and (2046) follows:
% 15.35/3.99 | (283) op2(e22, e22) = all_0_132_132
% 15.35/3.99 |
% 15.35/3.99 | From (2065) and (2039) follows:
% 15.35/3.99 | (2060) op2(e20, e20) = e23
% 15.35/3.99 |
% 15.35/3.99 | Instantiating formula (328) with e22, e22, all_0_95_95, all_0_132_132 and discharging atoms op2(e22, e22) = all_0_95_95, op2(e22, e22) = all_0_132_132, yields:
% 15.35/3.99 | (2072) all_0_95_95 = all_0_132_132
% 15.35/3.99 |
% 15.35/3.99 | Instantiating formula (328) with e22, e20, all_0_101_101, all_0_134_134 and discharging atoms op2(e22, e20) = all_0_101_101, op2(e22, e20) = all_0_134_134, yields:
% 15.35/3.99 | (2073) all_0_101_101 = all_0_134_134
% 15.35/3.99 |
% 15.35/3.99 | From (2073)(2073) and (366) follows:
% 15.35/3.99 | (2074) op2(all_0_134_134, all_0_134_134) = all_0_76_76
% 15.35/3.99 |
% 15.35/3.99 | From (2073) and (372) follows:
% 15.35/3.99 | (2075) op2(all_0_134_134, e20) = all_0_74_74
% 15.35/3.99 |
% 15.35/3.99 | From (2072) and (2067) follows:
% 15.35/3.99 | (283) op2(e22, e22) = all_0_132_132
% 15.35/3.99 |
% 15.35/3.99 | From (2073) and (44) follows:
% 15.35/3.99 | (2077) op2(e20, all_0_134_134) = all_0_69_69
% 15.35/3.99 |
% 15.35/3.99 | Instantiating formula (328) with all_0_134_134, all_0_134_134, all_0_76_76, all_0_108_108 and discharging atoms op2(all_0_134_134, all_0_134_134) = all_0_76_76, op2(all_0_134_134, all_0_134_134) = all_0_108_108, yields:
% 15.35/3.99 | (2078) all_0_76_76 = all_0_108_108
% 15.35/3.99 |
% 15.35/3.99 | From (2078) and (2074) follows:
% 15.35/3.99 | (161) op2(all_0_134_134, all_0_134_134) = all_0_108_108
% 15.35/3.99 |
% 15.35/3.99 +-Applying beta-rule and splitting (311), into two cases.
% 15.35/3.99 |-Branch one:
% 15.35/3.99 | (415) all_0_131_131 = e23
% 15.35/3.99 |
% 15.35/3.99 | Equations (415) can reduce 289 to:
% 15.35/3.99 | (506) ~ (all_0_133_133 = e23)
% 15.35/3.99 |
% 15.35/3.99 | Simplifying 506 yields:
% 15.35/3.99 | (507) ~ (all_0_133_133 = e23)
% 15.35/3.99 |
% 15.35/3.99 | Equations (415) can reduce 74 to:
% 15.35/3.99 | (2083) ~ (all_0_135_135 = e23)
% 15.35/3.99 |
% 15.35/3.99 | Simplifying 2083 yields:
% 15.35/3.99 | (2084) ~ (all_0_135_135 = e23)
% 15.35/3.99 |
% 15.35/3.99 | From (415)(415) and (340) follows:
% 15.35/3.99 | (419) op2(e23, e23) = all_0_105_105
% 15.35/3.99 |
% 15.35/3.99 +-Applying beta-rule and splitting (124), into two cases.
% 15.35/3.99 |-Branch one:
% 15.35/3.99 | (458) all_0_135_135 = e23
% 15.35/3.99 |
% 15.35/3.99 | Equations (458) can reduce 2084 to:
% 15.35/3.99 | (422) $false
% 15.35/3.99 |
% 15.35/3.99 |-The branch is then unsatisfiable
% 15.35/3.99 |-Branch two:
% 15.35/3.99 | (2084) ~ (all_0_135_135 = e23)
% 15.35/3.99 | (424) all_0_135_135 = e20
% 15.35/3.99 |
% 15.35/3.99 | Equations (424) can reduce 56 to:
% 15.35/3.99 | (2090) ~ (all_0_137_137 = e20)
% 15.35/3.99 |
% 15.35/3.99 | Simplifying 2090 yields:
% 15.35/3.99 | (227) ~ (all_0_137_137 = e20)
% 15.35/3.99 |
% 15.35/3.99 | Equations (424) can reduce 370 to:
% 15.35/3.99 | (849) ~ (all_0_138_138 = e20)
% 15.35/3.99 |
% 15.35/3.99 | Simplifying 849 yields:
% 15.35/3.99 | (830) ~ (all_0_138_138 = e20)
% 15.35/3.99 |
% 15.35/3.99 | Equations (424) can reduce 2084 to:
% 15.35/3.99 | (764) ~ (e23 = e20)
% 15.35/3.99 |
% 15.35/3.99 | Simplifying 764 yields:
% 15.35/3.99 | (249) ~ (e23 = e20)
% 15.35/3.99 |
% 15.35/3.99 | Equations (424) can reduce 31 to:
% 15.35/3.99 | (2096) ~ (e21 = e20)
% 15.35/3.99 |
% 15.35/3.99 | Simplifying 2096 yields:
% 15.35/3.99 | (319) ~ (e21 = e20)
% 15.35/3.99 |
% 15.35/3.99 | From (424)(424) and (210) follows:
% 15.35/4.00 | (425) op2(e20, e20) = all_0_109_109
% 15.35/4.00 |
% 15.35/4.00 +-Applying beta-rule and splitting (276), into two cases.
% 15.35/4.00 |-Branch one:
% 15.35/4.00 | (2099) all_0_133_133 = e23
% 15.35/4.00 |
% 15.35/4.00 | Equations (2099) can reduce 507 to:
% 15.35/4.00 | (422) $false
% 15.35/4.00 |
% 15.35/4.00 |-The branch is then unsatisfiable
% 15.35/4.00 |-Branch two:
% 15.35/4.00 | (507) ~ (all_0_133_133 = e23)
% 15.35/4.00 | (2102) all_0_133_133 = e22 | all_0_133_133 = e21
% 15.35/4.00 |
% 15.35/4.00 +-Applying beta-rule and splitting (384), into two cases.
% 15.35/4.00 |-Branch one:
% 15.35/4.00 | (458) all_0_135_135 = e23
% 15.35/4.00 |
% 15.35/4.00 | Combining equations (424,458) yields a new equation:
% 15.35/4.00 | (421) e23 = e20
% 15.35/4.00 |
% 15.35/4.00 | Equations (421) can reduce 249 to:
% 15.35/4.00 | (422) $false
% 15.35/4.00 |
% 15.35/4.00 |-The branch is then unsatisfiable
% 15.35/4.00 |-Branch two:
% 15.35/4.00 | (2084) ~ (all_0_135_135 = e23)
% 15.35/4.00 | (2107) all_0_136_136 = e23 | all_0_137_137 = e23 | all_0_138_138 = e23
% 15.35/4.00 |
% 15.35/4.00 +-Applying beta-rule and splitting (2102), into two cases.
% 15.35/4.00 |-Branch one:
% 15.35/4.00 | (690) all_0_133_133 = e21
% 15.35/4.00 |
% 15.35/4.00 | Equations (690) can reduce 694 to:
% 15.35/4.00 | (422) $false
% 15.35/4.00 |
% 15.35/4.00 |-The branch is then unsatisfiable
% 15.35/4.00 |-Branch two:
% 15.35/4.00 | (694) ~ (all_0_133_133 = e21)
% 15.35/4.00 | (681) all_0_133_133 = e22
% 15.35/4.00 |
% 15.35/4.00 | Equations (681) can reduce 126 to:
% 15.35/4.00 | (2112) ~ (all_0_132_132 = e22)
% 15.35/4.00 |
% 15.35/4.00 | Equations (681) can reduce 507 to:
% 15.35/4.00 | (2113) ~ (e23 = e22)
% 15.35/4.00 |
% 15.35/4.00 | Simplifying 2113 yields:
% 15.35/4.00 | (22) ~ (e23 = e22)
% 15.35/4.00 |
% 15.35/4.00 | From (681)(681) and (244) follows:
% 15.35/4.00 | (2115) op2(e22, e22) = all_0_107_107
% 15.35/4.00 |
% 15.35/4.00 +-Applying beta-rule and splitting (92), into two cases.
% 15.35/4.00 |-Branch one:
% 15.35/4.00 | (528) all_0_129_129 = e22
% 15.35/4.00 |
% 15.35/4.00 | Combining equations (513,528) yields a new equation:
% 15.35/4.00 | (2117) e23 = e22
% 15.35/4.00 |
% 15.35/4.00 | Simplifying 2117 yields:
% 15.35/4.00 | (2118) e23 = e22
% 15.35/4.00 |
% 15.35/4.00 | Equations (2118) can reduce 22 to:
% 15.35/4.00 | (422) $false
% 15.35/4.00 |
% 15.35/4.00 |-The branch is then unsatisfiable
% 15.35/4.00 |-Branch two:
% 15.35/4.00 | (2120) ~ (all_0_129_129 = e22)
% 15.35/4.00 | (2121) all_0_132_132 = e22 | all_0_136_136 = e22
% 15.35/4.00 |
% 15.35/4.00 +-Applying beta-rule and splitting (2107), into two cases.
% 15.35/4.00 |-Branch one:
% 15.35/4.00 | (2122) all_0_136_136 = e23
% 15.35/4.00 |
% 15.35/4.00 | Equations (2122) can reduce 2024 to:
% 15.35/4.00 | (422) $false
% 15.35/4.00 |
% 15.35/4.00 |-The branch is then unsatisfiable
% 15.35/4.00 |-Branch two:
% 15.35/4.00 | (2024) ~ (all_0_136_136 = e23)
% 15.35/4.00 | (2125) all_0_137_137 = e23 | all_0_138_138 = e23
% 15.35/4.00 |
% 15.35/4.00 +-Applying beta-rule and splitting (2125), into two cases.
% 15.35/4.00 |-Branch one:
% 15.35/4.00 | (433) all_0_137_137 = e23
% 15.35/4.00 |
% 15.35/4.00 | Equations (433) can reduce 25 to:
% 15.35/4.00 | (520) ~ (all_0_138_138 = e23)
% 15.35/4.00 |
% 15.35/4.00 | Simplifying 520 yields:
% 15.35/4.00 | (521) ~ (all_0_138_138 = e23)
% 15.35/4.00 |
% 15.35/4.00 | Equations (433) can reduce 733 to:
% 15.35/4.00 | (264) ~ (e23 = e21)
% 15.35/4.00 |
% 15.35/4.00 | Equations (433) can reduce 227 to:
% 15.35/4.00 | (249) ~ (e23 = e20)
% 15.35/4.00 |
% 15.35/4.00 +-Applying beta-rule and splitting (2121), into two cases.
% 15.35/4.00 |-Branch one:
% 15.35/4.00 | (2131) all_0_132_132 = e22
% 15.35/4.00 |
% 15.35/4.00 | Equations (2131) can reduce 2112 to:
% 15.35/4.00 | (422) $false
% 15.35/4.00 |
% 15.35/4.00 |-The branch is then unsatisfiable
% 15.35/4.00 |-Branch two:
% 15.35/4.00 | (2112) ~ (all_0_132_132 = e22)
% 15.35/4.00 | (2134) all_0_136_136 = e22
% 15.35/4.00 |
% 15.35/4.00 | Equations (2134) can reduce 357 to:
% 15.35/4.00 | (755) ~ (all_0_138_138 = e22)
% 15.35/4.00 |
% 15.35/4.00 | Simplifying 755 yields:
% 15.35/4.00 | (756) ~ (all_0_138_138 = e22)
% 15.35/4.00 |
% 15.35/4.00 | From (2134)(2134) and (285) follows:
% 15.35/4.00 | (2137) op2(e22, e22) = all_0_110_110
% 15.35/4.00 |
% 15.35/4.00 +-Applying beta-rule and splitting (329), into two cases.
% 15.35/4.00 |-Branch one:
% 15.35/4.00 | (1159) all_0_134_134 = e20
% 15.35/4.00 |
% 15.35/4.00 | Equations (1159) can reduce 96 to:
% 15.35/4.00 | (849) ~ (all_0_138_138 = e20)
% 15.35/4.00 |
% 15.35/4.00 | Simplifying 849 yields:
% 15.35/4.00 | (830) ~ (all_0_138_138 = e20)
% 15.35/4.00 |
% 15.35/4.00 | From (1159)(1159) and (161) follows:
% 15.35/4.00 | (2141) op2(e20, e20) = all_0_108_108
% 15.35/4.00 |
% 15.35/4.00 | From (1159) and (2075) follows:
% 15.35/4.00 | (2142) op2(e20, e20) = all_0_74_74
% 15.35/4.00 |
% 15.35/4.00 | From (1159) and (2077) follows:
% 15.35/4.00 | (2143) op2(e20, e20) = all_0_69_69
% 15.35/4.00 |
% 15.35/4.00 +-Applying beta-rule and splitting (280), into two cases.
% 15.35/4.00 |-Branch one:
% 15.35/4.00 | (695) all_0_134_134 = e21
% 15.35/4.00 |
% 15.35/4.00 | Combining equations (1159,695) yields a new equation:
% 15.35/4.00 | (798) e21 = e20
% 15.35/4.00 |
% 15.35/4.00 | Equations (798) can reduce 319 to:
% 15.35/4.00 | (422) $false
% 15.35/4.00 |
% 15.35/4.00 |-The branch is then unsatisfiable
% 15.35/4.00 |-Branch two:
% 15.35/4.00 | (742) ~ (all_0_134_134 = e21)
% 15.35/4.00 | (791) all_0_138_138 = e21 | all_0_141_141 = e21
% 15.35/4.00 |
% 15.35/4.00 +-Applying beta-rule and splitting (129), into two cases.
% 15.35/4.00 |-Branch one:
% 15.35/4.00 | (684) all_0_132_132 = e21
% 15.35/4.00 |
% 15.35/4.00 | Combining equations (684,2063) yields a new equation:
% 15.35/4.00 | (2150) all_0_104_104 = e21
% 15.35/4.00 |
% 15.35/4.00 | From (684) and (283) follows:
% 15.35/4.00 | (2151) op2(e22, e22) = e21
% 15.35/4.00 |
% 15.35/4.00 +-Applying beta-rule and splitting (256), into two cases.
% 15.35/4.00 |-Branch one:
% 15.35/4.00 | (844) all_0_138_138 = e23
% 15.35/4.00 |
% 15.35/4.00 | Equations (844) can reduce 521 to:
% 15.35/4.00 | (422) $false
% 15.35/4.00 |
% 15.35/4.00 |-The branch is then unsatisfiable
% 15.35/4.00 |-Branch two:
% 15.35/4.00 | (521) ~ (all_0_138_138 = e23)
% 15.35/4.00 | (847) all_0_138_138 = e22 | all_0_138_138 = e21 | all_0_138_138 = e20
% 15.35/4.00 |
% 15.35/4.00 +-Applying beta-rule and splitting (847), into two cases.
% 15.35/4.00 |-Branch one:
% 15.35/4.00 | (797) all_0_138_138 = e21
% 15.35/4.00 |
% 15.35/4.00 | Equations (797) can reduce 756 to:
% 15.35/4.00 | (710) ~ (e22 = e21)
% 15.35/4.00 |
% 15.35/4.00 | Simplifying 710 yields:
% 15.35/4.00 | (219) ~ (e22 = e21)
% 15.35/4.00 |
% 15.35/4.00 | Equations (797) can reduce 830 to:
% 15.35/4.00 | (319) ~ (e21 = e20)
% 15.35/4.00 |
% 15.35/4.00 | Instantiating formula (328) with e23, e23, all_0_105_105, e21 and discharging atoms op2(e23, e23) = all_0_105_105, op2(e23, e23) = e21, yields:
% 15.35/4.00 | (426) all_0_105_105 = e21
% 15.35/4.00 |
% 15.35/4.00 | Instantiating formula (328) with e22, e22, all_0_110_110, all_0_107_107 and discharging atoms op2(e22, e22) = all_0_107_107, op2(e22, e22) = all_0_110_110, yields:
% 15.35/4.00 | (2161) all_0_107_107 = all_0_110_110
% 15.35/4.00 |
% 15.35/4.00 | Instantiating formula (328) with e22, e22, e21, all_0_107_107 and discharging atoms op2(e22, e22) = all_0_107_107, op2(e22, e22) = e21, yields:
% 15.35/4.00 | (439) all_0_107_107 = e21
% 15.35/4.00 |
% 15.35/4.00 | Instantiating formula (328) with e20, e20, all_0_69_69, e23 and discharging atoms op2(e20, e20) = all_0_69_69, op2(e20, e20) = e23, yields:
% 15.35/4.00 | (2163) all_0_69_69 = e23
% 15.35/4.00 |
% 15.35/4.00 | Instantiating formula (328) with e20, e20, all_0_74_74, all_0_69_69 and discharging atoms op2(e20, e20) = all_0_69_69, op2(e20, e20) = all_0_74_74, yields:
% 15.35/4.00 | (2164) all_0_69_69 = all_0_74_74
% 15.35/4.00 |
% 15.35/4.00 | Instantiating formula (328) with e20, e20, all_0_108_108, all_0_69_69 and discharging atoms op2(e20, e20) = all_0_69_69, op2(e20, e20) = all_0_108_108, yields:
% 15.35/4.00 | (2165) all_0_69_69 = all_0_108_108
% 15.35/4.00 |
% 15.35/4.00 | Instantiating formula (328) with e20, e20, all_0_109_109, all_0_69_69 and discharging atoms op2(e20, e20) = all_0_69_69, op2(e20, e20) = all_0_109_109, yields:
% 15.35/4.00 | (2166) all_0_69_69 = all_0_109_109
% 15.35/4.00 |
% 15.35/4.00 | Combining equations (2163,2164) yields a new equation:
% 15.35/4.00 | (2167) all_0_74_74 = e23
% 15.35/4.00 |
% 15.35/4.00 | Combining equations (2166,2164) yields a new equation:
% 15.35/4.00 | (2168) all_0_74_74 = all_0_109_109
% 15.35/4.00 |
% 15.35/4.00 | Combining equations (2165,2164) yields a new equation:
% 15.35/4.00 | (2169) all_0_74_74 = all_0_108_108
% 15.35/4.00 |
% 15.35/4.00 | Combining equations (2167,2169) yields a new equation:
% 15.35/4.00 | (2170) all_0_108_108 = e23
% 15.35/4.00 |
% 15.35/4.00 | Combining equations (2168,2169) yields a new equation:
% 15.35/4.00 | (2171) all_0_108_108 = all_0_109_109
% 15.35/4.00 |
% 15.35/4.00 | Combining equations (439,2161) yields a new equation:
% 15.35/4.00 | (2172) all_0_110_110 = e21
% 15.35/4.00 |
% 15.35/4.00 | Combining equations (2170,2171) yields a new equation:
% 15.35/4.01 | (444) all_0_109_109 = e23
% 15.35/4.01 |
% 15.35/4.01 | Combining equations (444,2171) yields a new equation:
% 15.35/4.01 | (2170) all_0_108_108 = e23
% 15.35/4.01 |
% 15.35/4.01 +-Applying beta-rule and splitting (179), into two cases.
% 15.35/4.01 |-Branch one:
% 15.35/4.01 | (428) (all_0_103_103 = e22 & all_0_104_104 = e20 & all_0_137_137 = e23 & all_0_141_141 = e21) | (all_0_105_105 = e23 & all_0_106_106 = e22 & all_0_107_107 = e21 & all_0_108_108 = e20) | (all_0_109_109 = e23 & all_0_110_110 = e22 & all_0_111_111 = e21 & all_0_112_112 = e20)
% 15.35/4.01 |
% 15.35/4.01 +-Applying beta-rule and splitting (428), into two cases.
% 15.35/4.01 |-Branch one:
% 15.35/4.01 | (429) (all_0_103_103 = e22 & all_0_104_104 = e20 & all_0_137_137 = e23 & all_0_141_141 = e21) | (all_0_105_105 = e23 & all_0_106_106 = e22 & all_0_107_107 = e21 & all_0_108_108 = e20)
% 15.35/4.01 |
% 15.35/4.01 +-Applying beta-rule and splitting (429), into two cases.
% 15.35/4.01 |-Branch one:
% 15.35/4.01 | (430) all_0_103_103 = e22 & all_0_104_104 = e20 & all_0_137_137 = e23 & all_0_141_141 = e21
% 15.35/4.01 |
% 15.35/4.01 | Applying alpha-rule on (430) yields:
% 15.35/4.01 | (431) all_0_103_103 = e22
% 15.35/4.01 | (432) all_0_104_104 = e20
% 15.35/4.01 | (433) all_0_137_137 = e23
% 15.35/4.01 | (434) all_0_141_141 = e21
% 15.35/4.01 |
% 15.35/4.01 | Combining equations (2150,432) yields a new equation:
% 15.35/4.01 | (825) e21 = e20
% 15.35/4.01 |
% 15.35/4.01 | Simplifying 825 yields:
% 15.35/4.01 | (798) e21 = e20
% 15.35/4.01 |
% 15.35/4.01 | Equations (798) can reduce 319 to:
% 15.35/4.01 | (422) $false
% 15.35/4.01 |
% 15.35/4.01 |-The branch is then unsatisfiable
% 15.35/4.01 |-Branch two:
% 15.35/4.01 | (436) all_0_105_105 = e23 & all_0_106_106 = e22 & all_0_107_107 = e21 & all_0_108_108 = e20
% 15.35/4.01 |
% 15.35/4.01 | Applying alpha-rule on (436) yields:
% 15.35/4.01 | (437) all_0_105_105 = e23
% 15.35/4.01 | (438) all_0_106_106 = e22
% 15.35/4.01 | (439) all_0_107_107 = e21
% 15.35/4.01 | (440) all_0_108_108 = e20
% 15.35/4.01 |
% 15.35/4.01 | Combining equations (426,437) yields a new equation:
% 15.35/4.01 | (441) e23 = e21
% 15.35/4.01 |
% 15.35/4.01 | Combining equations (2170,440) yields a new equation:
% 15.35/4.01 | (2191) e23 = e20
% 15.35/4.01 |
% 15.35/4.01 | Simplifying 2191 yields:
% 15.35/4.01 | (421) e23 = e20
% 15.35/4.01 |
% 15.35/4.01 | Combining equations (441,421) yields a new equation:
% 15.35/4.01 | (825) e21 = e20
% 15.35/4.01 |
% 15.35/4.01 | Simplifying 825 yields:
% 15.35/4.01 | (798) e21 = e20
% 15.35/4.01 |
% 15.35/4.01 | Equations (798) can reduce 319 to:
% 15.35/4.01 | (422) $false
% 15.35/4.01 |
% 15.35/4.01 |-The branch is then unsatisfiable
% 15.35/4.01 |-Branch two:
% 15.35/4.01 | (443) all_0_109_109 = e23 & all_0_110_110 = e22 & all_0_111_111 = e21 & all_0_112_112 = e20
% 15.35/4.01 |
% 15.35/4.01 | Applying alpha-rule on (443) yields:
% 15.35/4.01 | (444) all_0_109_109 = e23
% 15.35/4.01 | (445) all_0_110_110 = e22
% 15.35/4.01 | (446) all_0_111_111 = e21
% 15.35/4.01 | (447) all_0_112_112 = e20
% 15.35/4.01 |
% 15.35/4.01 | Combining equations (445,2172) yields a new equation:
% 15.35/4.01 | (691) e22 = e21
% 15.35/4.01 |
% 15.35/4.01 | Simplifying 691 yields:
% 15.35/4.01 | (692) e22 = e21
% 15.35/4.01 |
% 15.35/4.01 | Equations (692) can reduce 219 to:
% 15.35/4.01 | (422) $false
% 15.35/4.01 |
% 15.35/4.01 |-The branch is then unsatisfiable
% 15.35/4.01 |-Branch two:
% 15.35/4.01 | (451) all_0_113_113 = e22 & all_0_114_114 = e21 & all_0_115_115 = e20 & all_0_132_132 = e23
% 15.35/4.01 |
% 15.35/4.01 | Applying alpha-rule on (451) yields:
% 15.35/4.01 | (452) all_0_113_113 = e22
% 15.35/4.01 | (413) all_0_114_114 = e21
% 15.35/4.01 | (454) all_0_115_115 = e20
% 15.35/4.01 | (455) all_0_132_132 = e23
% 15.35/4.01 |
% 15.35/4.01 | Combining equations (454,2066) yields a new equation:
% 15.35/4.01 | (798) e21 = e20
% 15.35/4.01 |
% 15.35/4.01 | Equations (798) can reduce 319 to:
% 15.35/4.01 | (422) $false
% 15.35/4.01 |
% 15.35/4.01 |-The branch is then unsatisfiable
% 15.35/4.01 |-Branch two:
% 15.35/4.01 | (800) ~ (all_0_138_138 = e21)
% 15.35/4.01 | (1146) all_0_138_138 = e22 | all_0_138_138 = e20
% 15.35/4.01 |
% 15.35/4.01 +-Applying beta-rule and splitting (1146), into two cases.
% 15.35/4.01 |-Branch one:
% 15.35/4.01 | (1147) all_0_138_138 = e22
% 15.35/4.01 |
% 15.35/4.01 | Equations (1147) can reduce 756 to:
% 15.35/4.01 | (422) $false
% 15.35/4.01 |
% 15.35/4.01 |-The branch is then unsatisfiable
% 15.35/4.01 |-Branch two:
% 15.35/4.01 | (756) ~ (all_0_138_138 = e22)
% 15.35/4.01 | (783) all_0_138_138 = e20
% 15.35/4.01 |
% 15.35/4.01 | Equations (783) can reduce 830 to:
% 15.35/4.01 | (422) $false
% 15.35/4.01 |
% 15.35/4.01 |-The branch is then unsatisfiable
% 15.35/4.01 |-Branch two:
% 15.35/4.01 | (688) ~ (all_0_132_132 = e21)
% 15.35/4.01 | (779) all_0_136_136 = e21 | all_0_139_139 = e21
% 15.35/4.01 |
% 15.35/4.01 +-Applying beta-rule and splitting (791), into two cases.
% 15.35/4.01 |-Branch one:
% 15.35/4.01 | (797) all_0_138_138 = e21
% 15.35/4.01 |
% 15.35/4.01 | Equations (797) can reduce 756 to:
% 15.35/4.01 | (710) ~ (e22 = e21)
% 15.35/4.01 |
% 15.35/4.01 | Simplifying 710 yields:
% 15.35/4.01 | (219) ~ (e22 = e21)
% 15.35/4.01 |
% 15.35/4.01 | Equations (797) can reduce 830 to:
% 15.35/4.01 | (319) ~ (e21 = e20)
% 15.35/4.01 |
% 15.35/4.01 +-Applying beta-rule and splitting (779), into two cases.
% 15.35/4.01 |-Branch one:
% 15.35/4.01 | (792) all_0_136_136 = e21
% 15.35/4.01 |
% 15.35/4.01 | Combining equations (2134,792) yields a new equation:
% 15.35/4.01 | (691) e22 = e21
% 15.35/4.01 |
% 15.35/4.01 | Simplifying 691 yields:
% 15.35/4.01 | (692) e22 = e21
% 15.35/4.01 |
% 15.35/4.01 | Equations (692) can reduce 219 to:
% 15.35/4.01 | (422) $false
% 15.35/4.01 |
% 15.35/4.01 |-The branch is then unsatisfiable
% 15.35/4.01 |-Branch two:
% 15.35/4.01 | (823) ~ (all_0_136_136 = e21)
% 15.35/4.01 | (709) all_0_139_139 = e21
% 15.35/4.01 |
% 15.35/4.01 | Combining equations (762,709) yields a new equation:
% 15.35/4.01 | (798) e21 = e20
% 15.35/4.01 |
% 15.35/4.01 | Equations (798) can reduce 319 to:
% 15.35/4.01 | (422) $false
% 15.35/4.01 |
% 15.35/4.01 |-The branch is then unsatisfiable
% 15.35/4.01 |-Branch two:
% 15.35/4.01 | (800) ~ (all_0_138_138 = e21)
% 15.35/4.01 | (434) all_0_141_141 = e21
% 15.35/4.01 |
% 15.35/4.01 | Combining equations (434,449) yields a new equation:
% 15.35/4.01 | (441) e23 = e21
% 15.35/4.01 |
% 15.35/4.01 | Equations (441) can reduce 264 to:
% 15.35/4.01 | (422) $false
% 15.35/4.01 |
% 15.35/4.01 |-The branch is then unsatisfiable
% 15.35/4.01 |-Branch two:
% 15.35/4.01 | (471) ~ (all_0_134_134 = e20)
% 15.35/4.01 | (2237) all_0_138_138 = e20 | all_0_141_141 = e20
% 15.35/4.01 |
% 15.35/4.01 +-Applying beta-rule and splitting (2237), into two cases.
% 15.35/4.01 |-Branch one:
% 15.35/4.01 | (783) all_0_138_138 = e20
% 15.35/4.01 |
% 15.35/4.01 | Equations (783) can reduce 830 to:
% 15.35/4.01 | (422) $false
% 15.35/4.01 |
% 15.35/4.01 |-The branch is then unsatisfiable
% 15.35/4.01 |-Branch two:
% 15.35/4.01 | (830) ~ (all_0_138_138 = e20)
% 15.35/4.01 | (829) all_0_141_141 = e20
% 15.35/4.01 |
% 15.35/4.01 | Combining equations (449,829) yields a new equation:
% 15.35/4.01 | (2191) e23 = e20
% 15.35/4.01 |
% 15.35/4.01 | Simplifying 2191 yields:
% 15.35/4.01 | (421) e23 = e20
% 15.35/4.01 |
% 15.35/4.01 | Equations (421) can reduce 249 to:
% 15.35/4.01 | (422) $false
% 15.35/4.01 |
% 15.35/4.01 |-The branch is then unsatisfiable
% 15.35/4.01 |-Branch two:
% 15.35/4.01 | (408) ~ (all_0_137_137 = e23)
% 15.35/4.01 | (844) all_0_138_138 = e23
% 15.35/4.01 |
% 15.35/4.01 | Equations (844) can reduce 521 to:
% 15.35/4.01 | (422) $false
% 15.35/4.01 |
% 15.35/4.01 |-The branch is then unsatisfiable
% 15.35/4.01 |-Branch two:
% 15.35/4.01 | (457) ~ (all_0_131_131 = e23)
% 15.35/4.01 | (458) all_0_135_135 = e23
% 15.35/4.01 |
% 15.35/4.01 | Equations (458) can reduce 74 to:
% 15.35/4.01 | (457) ~ (all_0_131_131 = e23)
% 15.35/4.01 |
% 15.35/4.01 | Equations (458) can reduce 34 to:
% 15.35/4.01 | (2023) ~ (all_0_136_136 = e23)
% 15.35/4.01 |
% 15.35/4.01 | Simplifying 2023 yields:
% 15.35/4.01 | (2024) ~ (all_0_136_136 = e23)
% 15.35/4.01 |
% 15.35/4.01 | Equations (458) can reduce 56 to:
% 15.35/4.01 | (460) ~ (all_0_137_137 = e23)
% 15.35/4.01 |
% 15.35/4.01 | Simplifying 460 yields:
% 15.35/4.01 | (408) ~ (all_0_137_137 = e23)
% 15.35/4.01 |
% 15.35/4.01 | Equations (458) can reduce 130 to:
% 15.35/4.01 | (22) ~ (e23 = e22)
% 15.35/4.01 |
% 15.35/4.01 | Equations (458) can reduce 31 to:
% 15.35/4.01 | (264) ~ (e23 = e21)
% 15.35/4.01 |
% 15.35/4.01 | From (458)(458) and (210) follows:
% 15.35/4.01 | (463) op2(e23, e23) = all_0_109_109
% 15.35/4.01 |
% 15.35/4.01 +-Applying beta-rule and splitting (263), into two cases.
% 15.35/4.01 |-Branch one:
% 15.35/4.01 | (415) all_0_131_131 = e23
% 15.35/4.01 |
% 15.35/4.01 | Equations (415) can reduce 457 to:
% 15.35/4.01 | (422) $false
% 15.35/4.01 |
% 15.35/4.01 |-The branch is then unsatisfiable
% 15.35/4.01 |-Branch two:
% 15.35/4.01 | (457) ~ (all_0_131_131 = e23)
% 15.35/4.01 | (420) all_0_131_131 = e20
% 15.35/4.01 |
% 15.35/4.01 | Equations (420) can reduce 220 to:
% 15.35/4.01 | (2262) ~ (all_0_132_132 = e20)
% 15.35/4.01 |
% 15.35/4.01 | Simplifying 2262 yields:
% 15.35/4.01 | (2263) ~ (all_0_132_132 = e20)
% 15.35/4.01 |
% 15.35/4.01 | Equations (420) can reduce 261 to:
% 15.35/4.01 | (470) ~ (all_0_134_134 = e20)
% 15.35/4.01 |
% 15.35/4.01 | Simplifying 470 yields:
% 15.35/4.01 | (471) ~ (all_0_134_134 = e20)
% 15.35/4.01 |
% 15.35/4.01 | Equations (420) can reduce 457 to:
% 15.35/4.01 | (764) ~ (e23 = e20)
% 15.35/4.01 |
% 15.35/4.01 | Simplifying 764 yields:
% 15.35/4.01 | (249) ~ (e23 = e20)
% 15.35/4.01 |
% 15.35/4.01 | From (420)(420) and (340) follows:
% 15.35/4.01 | (472) op2(e20, e20) = all_0_105_105
% 15.35/4.01 |
% 15.35/4.01 +-Applying beta-rule and splitting (329), into two cases.
% 15.35/4.01 |-Branch one:
% 15.35/4.01 | (1159) all_0_134_134 = e20
% 15.35/4.01 |
% 15.35/4.01 | Equations (1159) can reduce 471 to:
% 15.35/4.01 | (422) $false
% 15.35/4.01 |
% 15.35/4.01 |-The branch is then unsatisfiable
% 15.35/4.01 |-Branch two:
% 15.35/4.01 | (471) ~ (all_0_134_134 = e20)
% 15.35/4.01 | (2237) all_0_138_138 = e20 | all_0_141_141 = e20
% 15.35/4.01 |
% 15.35/4.01 +-Applying beta-rule and splitting (2237), into two cases.
% 15.35/4.01 |-Branch one:
% 15.35/4.01 | (783) all_0_138_138 = e20
% 15.35/4.01 |
% 15.35/4.01 | Equations (783) can reduce 96 to:
% 15.35/4.01 | (471) ~ (all_0_134_134 = e20)
% 15.35/4.01 |
% 15.35/4.01 | Equations (783) can reduce 357 to:
% 15.35/4.01 | (763) ~ (all_0_136_136 = e20)
% 15.35/4.01 |
% 15.35/4.01 | From (783)(783) and (202) follows:
% 15.35/4.01 | (2276) op2(e20, e20) = all_0_112_112
% 15.35/4.01 |
% 15.35/4.01 +-Applying beta-rule and splitting (313), into two cases.
% 15.35/4.01 |-Branch one:
% 15.35/4.01 | (2099) all_0_133_133 = e23
% 15.35/4.01 |
% 15.35/4.01 | Equations (2099) can reduce 201 to:
% 15.35/4.01 | (518) ~ (all_0_134_134 = e23)
% 15.35/4.01 |
% 15.35/4.01 | Simplifying 518 yields:
% 15.35/4.01 | (519) ~ (all_0_134_134 = e23)
% 15.35/4.01 |
% 15.35/4.01 | Equations (2099) can reduce 214 to:
% 15.35/4.01 | (460) ~ (all_0_137_137 = e23)
% 15.35/4.01 |
% 15.35/4.01 | Simplifying 460 yields:
% 15.35/4.01 | (408) ~ (all_0_137_137 = e23)
% 15.35/4.02 |
% 15.35/4.02 | From (2099)(2099) and (244) follows:
% 15.35/4.02 | (2282) op2(e23, e23) = all_0_107_107
% 15.35/4.02 |
% 15.35/4.02 +-Applying beta-rule and splitting (156), into two cases.
% 15.35/4.02 |-Branch one:
% 15.35/4.02 | (746) all_0_134_134 = e23
% 15.35/4.02 |
% 15.35/4.02 | Equations (746) can reduce 519 to:
% 15.35/4.02 | (422) $false
% 15.35/4.02 |
% 15.35/4.02 |-The branch is then unsatisfiable
% 15.35/4.02 |-Branch two:
% 15.35/4.02 | (519) ~ (all_0_134_134 = e23)
% 15.35/4.02 | (749) all_0_134_134 = e22 | all_0_134_134 = e21 | all_0_134_134 = e20
% 15.35/4.02 |
% 15.35/4.02 +-Applying beta-rule and splitting (749), into two cases.
% 15.35/4.02 |-Branch one:
% 15.35/4.02 | (695) all_0_134_134 = e21
% 15.35/4.02 |
% 15.35/4.02 | From (695)(695) and (161) follows:
% 15.35/4.02 | (2288) op2(e21, e21) = all_0_108_108
% 15.35/4.02 |
% 15.35/4.02 +-Applying beta-rule and splitting (243), into two cases.
% 15.35/4.02 |-Branch one:
% 15.35/4.02 | (681) all_0_133_133 = e22
% 15.35/4.02 |
% 15.35/4.02 | Combining equations (681,2099) yields a new equation:
% 15.35/4.02 | (2118) e23 = e22
% 15.35/4.02 |
% 15.35/4.02 | Equations (2118) can reduce 22 to:
% 15.35/4.02 | (422) $false
% 15.35/4.02 |
% 15.35/4.02 |-The branch is then unsatisfiable
% 15.35/4.02 |-Branch two:
% 15.35/4.02 | (736) ~ (all_0_133_133 = e22)
% 15.35/4.02 | (734) all_0_137_137 = e22
% 15.35/4.02 |
% 15.35/4.02 | Equations (734) can reduce 242 to:
% 15.35/4.02 | (2294) ~ (all_0_136_136 = e22)
% 15.35/4.02 |
% 15.35/4.02 | Equations (734) can reduce 408 to:
% 15.35/4.02 | (2113) ~ (e23 = e22)
% 15.35/4.02 |
% 15.35/4.02 | Simplifying 2113 yields:
% 15.35/4.02 | (22) ~ (e23 = e22)
% 15.35/4.02 |
% 15.35/4.02 | From (734) and (281) follows:
% 15.35/4.02 | (712) op2(e21, e21) = e22
% 15.35/4.02 |
% 15.35/4.02 +-Applying beta-rule and splitting (300), into two cases.
% 15.35/4.02 |-Branch one:
% 15.35/4.02 | (2122) all_0_136_136 = e23
% 15.35/4.02 |
% 15.35/4.02 | Equations (2122) can reduce 2024 to:
% 15.35/4.02 | (422) $false
% 15.35/4.02 |
% 15.35/4.02 |-The branch is then unsatisfiable
% 15.35/4.02 |-Branch two:
% 15.35/4.02 | (2024) ~ (all_0_136_136 = e23)
% 15.35/4.02 | (2301) all_0_136_136 = e22 | all_0_136_136 = e21 | all_0_136_136 = e20
% 15.35/4.02 |
% 15.35/4.02 +-Applying beta-rule and splitting (2301), into two cases.
% 15.35/4.02 |-Branch one:
% 15.35/4.02 | (792) all_0_136_136 = e21
% 15.35/4.02 |
% 15.35/4.02 | Equations (792) can reduce 2294 to:
% 15.35/4.02 | (710) ~ (e22 = e21)
% 15.35/4.02 |
% 15.35/4.02 | Simplifying 710 yields:
% 15.35/4.02 | (219) ~ (e22 = e21)
% 15.35/4.02 |
% 15.35/4.02 | Equations (792) can reduce 763 to:
% 15.35/4.02 | (319) ~ (e21 = e20)
% 15.35/4.02 |
% 15.35/4.02 | From (792)(792) and (285) follows:
% 15.35/4.02 | (2306) op2(e21, e21) = all_0_110_110
% 15.35/4.02 |
% 15.35/4.02 +-Applying beta-rule and splitting (157), into two cases.
% 15.35/4.02 |-Branch one:
% 15.35/4.02 | (2131) all_0_132_132 = e22
% 15.35/4.02 |
% 15.35/4.02 | Combining equations (2131,2063) yields a new equation:
% 15.35/4.02 | (2308) all_0_104_104 = e22
% 15.35/4.02 |
% 15.35/4.02 | Equations (2131) can reduce 2263 to:
% 15.35/4.02 | (112) ~ (e22 = e20)
% 15.35/4.02 |
% 15.35/4.02 | Instantiating formula (328) with e23, e23, all_0_107_107, e21 and discharging atoms op2(e23, e23) = all_0_107_107, op2(e23, e23) = e21, yields:
% 15.35/4.02 | (439) all_0_107_107 = e21
% 15.35/4.02 |
% 15.35/4.02 | Instantiating formula (328) with e23, e23, all_0_109_109, all_0_107_107 and discharging atoms op2(e23, e23) = all_0_107_107, op2(e23, e23) = all_0_109_109, yields:
% 15.35/4.02 | (2311) all_0_107_107 = all_0_109_109
% 15.35/4.02 |
% 15.35/4.02 | Instantiating formula (328) with e21, e21, all_0_110_110, all_0_108_108 and discharging atoms op2(e21, e21) = all_0_108_108, op2(e21, e21) = all_0_110_110, yields:
% 15.35/4.02 | (2312) all_0_108_108 = all_0_110_110
% 15.35/4.02 |
% 15.35/4.02 | Instantiating formula (328) with e21, e21, e22, all_0_108_108 and discharging atoms op2(e21, e21) = all_0_108_108, op2(e21, e21) = e22, yields:
% 15.35/4.02 | (2313) all_0_108_108 = e22
% 15.35/4.02 |
% 15.35/4.02 | Instantiating formula (328) with e20, e20, all_0_105_105, e23 and discharging atoms op2(e20, e20) = all_0_105_105, op2(e20, e20) = e23, yields:
% 15.35/4.02 | (437) all_0_105_105 = e23
% 15.35/4.02 |
% 15.35/4.02 | Instantiating formula (328) with e20, e20, all_0_112_112, all_0_105_105 and discharging atoms op2(e20, e20) = all_0_105_105, op2(e20, e20) = all_0_112_112, yields:
% 15.35/4.02 | (2315) all_0_105_105 = all_0_112_112
% 15.35/4.02 |
% 15.35/4.02 | Combining equations (437,2315) yields a new equation:
% 15.35/4.02 | (2316) all_0_112_112 = e23
% 15.35/4.02 |
% 15.35/4.02 | Combining equations (439,2311) yields a new equation:
% 15.35/4.02 | (474) all_0_109_109 = e21
% 15.35/4.02 |
% 15.35/4.02 | Combining equations (2313,2312) yields a new equation:
% 15.35/4.02 | (445) all_0_110_110 = e22
% 15.35/4.02 |
% 15.35/4.02 | Combining equations (445,2312) yields a new equation:
% 15.35/4.02 | (2313) all_0_108_108 = e22
% 15.35/4.02 |
% 15.35/4.02 +-Applying beta-rule and splitting (179), into two cases.
% 15.35/4.02 |-Branch one:
% 15.35/4.02 | (428) (all_0_103_103 = e22 & all_0_104_104 = e20 & all_0_137_137 = e23 & all_0_141_141 = e21) | (all_0_105_105 = e23 & all_0_106_106 = e22 & all_0_107_107 = e21 & all_0_108_108 = e20) | (all_0_109_109 = e23 & all_0_110_110 = e22 & all_0_111_111 = e21 & all_0_112_112 = e20)
% 15.35/4.02 |
% 15.35/4.02 +-Applying beta-rule and splitting (428), into two cases.
% 15.35/4.02 |-Branch one:
% 15.35/4.02 | (429) (all_0_103_103 = e22 & all_0_104_104 = e20 & all_0_137_137 = e23 & all_0_141_141 = e21) | (all_0_105_105 = e23 & all_0_106_106 = e22 & all_0_107_107 = e21 & all_0_108_108 = e20)
% 15.35/4.02 |
% 15.35/4.02 +-Applying beta-rule and splitting (429), into two cases.
% 15.35/4.02 |-Branch one:
% 15.35/4.02 | (430) all_0_103_103 = e22 & all_0_104_104 = e20 & all_0_137_137 = e23 & all_0_141_141 = e21
% 15.35/4.02 |
% 15.35/4.02 | Applying alpha-rule on (430) yields:
% 15.35/4.02 | (431) all_0_103_103 = e22
% 15.35/4.02 | (432) all_0_104_104 = e20
% 15.35/4.02 | (433) all_0_137_137 = e23
% 15.35/4.02 | (434) all_0_141_141 = e21
% 15.35/4.02 |
% 15.35/4.02 | Combining equations (432,2308) yields a new equation:
% 15.35/4.02 | (820) e22 = e20
% 15.35/4.02 |
% 15.35/4.02 | Combining equations (433,734) yields a new equation:
% 15.35/4.02 | (2117) e23 = e22
% 15.35/4.02 |
% 15.35/4.02 | Simplifying 2117 yields:
% 15.35/4.02 | (2118) e23 = e22
% 15.35/4.02 |
% 15.35/4.02 | Combining equations (449,434) yields a new equation:
% 15.35/4.02 | (685) e23 = e21
% 15.35/4.02 |
% 15.35/4.02 | Simplifying 685 yields:
% 15.35/4.02 | (441) e23 = e21
% 15.35/4.02 |
% 15.35/4.02 | Combining equations (441,2118) yields a new equation:
% 15.35/4.02 | (692) e22 = e21
% 15.35/4.02 |
% 15.35/4.02 | Combining equations (820,692) yields a new equation:
% 15.35/4.02 | (798) e21 = e20
% 15.35/4.02 |
% 15.35/4.02 | Equations (798) can reduce 319 to:
% 15.35/4.02 | (422) $false
% 15.35/4.02 |
% 15.35/4.02 |-The branch is then unsatisfiable
% 15.35/4.02 |-Branch two:
% 15.35/4.02 | (436) all_0_105_105 = e23 & all_0_106_106 = e22 & all_0_107_107 = e21 & all_0_108_108 = e20
% 15.35/4.02 |
% 15.35/4.02 | Applying alpha-rule on (436) yields:
% 15.35/4.02 | (437) all_0_105_105 = e23
% 15.35/4.02 | (438) all_0_106_106 = e22
% 15.35/4.02 | (439) all_0_107_107 = e21
% 15.35/4.02 | (440) all_0_108_108 = e20
% 15.35/4.02 |
% 15.35/4.02 | Combining equations (2313,440) yields a new equation:
% 15.35/4.02 | (819) e22 = e20
% 15.35/4.02 |
% 15.35/4.02 | Simplifying 819 yields:
% 15.35/4.02 | (820) e22 = e20
% 15.35/4.02 |
% 15.35/4.02 | Equations (820) can reduce 112 to:
% 15.35/4.02 | (422) $false
% 15.35/4.02 |
% 15.35/4.02 |-The branch is then unsatisfiable
% 15.35/4.02 |-Branch two:
% 15.35/4.02 | (443) all_0_109_109 = e23 & all_0_110_110 = e22 & all_0_111_111 = e21 & all_0_112_112 = e20
% 15.35/4.02 |
% 15.35/4.02 | Applying alpha-rule on (443) yields:
% 15.35/4.02 | (444) all_0_109_109 = e23
% 15.35/4.02 | (445) all_0_110_110 = e22
% 15.35/4.02 | (446) all_0_111_111 = e21
% 15.35/4.02 | (447) all_0_112_112 = e20
% 15.35/4.02 |
% 15.35/4.02 | Combining equations (444,474) yields a new equation:
% 15.35/4.02 | (685) e23 = e21
% 15.35/4.02 |
% 15.35/4.02 | Simplifying 685 yields:
% 15.35/4.02 | (441) e23 = e21
% 15.35/4.02 |
% 15.35/4.02 | Combining equations (2316,447) yields a new equation:
% 15.35/4.02 | (2191) e23 = e20
% 15.35/4.02 |
% 15.35/4.02 | Simplifying 2191 yields:
% 15.35/4.02 | (421) e23 = e20
% 15.35/4.02 |
% 15.35/4.02 | Combining equations (441,421) yields a new equation:
% 15.35/4.02 | (825) e21 = e20
% 15.35/4.02 |
% 15.35/4.02 | Simplifying 825 yields:
% 15.35/4.02 | (798) e21 = e20
% 15.35/4.02 |
% 15.35/4.02 | Equations (798) can reduce 319 to:
% 15.35/4.02 | (422) $false
% 15.35/4.02 |
% 15.35/4.02 |-The branch is then unsatisfiable
% 15.35/4.02 |-Branch two:
% 15.35/4.02 | (451) all_0_113_113 = e22 & all_0_114_114 = e21 & all_0_115_115 = e20 & all_0_132_132 = e23
% 15.35/4.02 |
% 15.35/4.02 | Applying alpha-rule on (451) yields:
% 15.35/4.02 | (452) all_0_113_113 = e22
% 15.35/4.02 | (413) all_0_114_114 = e21
% 15.35/4.02 | (454) all_0_115_115 = e20
% 15.35/4.02 | (455) all_0_132_132 = e23
% 15.35/4.02 |
% 15.35/4.02 | Combining equations (454,2066) yields a new equation:
% 15.35/4.02 | (798) e21 = e20
% 15.35/4.02 |
% 15.35/4.02 | Equations (798) can reduce 319 to:
% 15.35/4.02 | (422) $false
% 15.35/4.02 |
% 15.35/4.02 |-The branch is then unsatisfiable
% 15.35/4.02 |-Branch two:
% 15.35/4.02 | (2112) ~ (all_0_132_132 = e22)
% 15.35/4.02 | (2363) all_0_133_133 = e22 | all_0_134_134 = e22
% 15.35/4.02 |
% 15.35/4.02 +-Applying beta-rule and splitting (2363), into two cases.
% 15.35/4.02 |-Branch one:
% 15.35/4.02 | (681) all_0_133_133 = e22
% 15.35/4.02 |
% 15.35/4.02 | Combining equations (2099,681) yields a new equation:
% 15.35/4.02 | (2117) e23 = e22
% 15.35/4.02 |
% 15.35/4.02 | Simplifying 2117 yields:
% 15.35/4.02 | (2118) e23 = e22
% 15.35/4.02 |
% 15.35/4.02 | Equations (2118) can reduce 22 to:
% 15.35/4.02 | (422) $false
% 15.35/4.03 |
% 15.35/4.03 |-The branch is then unsatisfiable
% 15.35/4.03 |-Branch two:
% 15.35/4.03 | (736) ~ (all_0_133_133 = e22)
% 15.35/4.03 | (754) all_0_134_134 = e22
% 15.35/4.03 |
% 15.35/4.03 | Combining equations (695,754) yields a new equation:
% 15.35/4.03 | (692) e22 = e21
% 15.35/4.03 |
% 15.35/4.03 | Equations (692) can reduce 219 to:
% 15.35/4.03 | (422) $false
% 15.35/4.03 |
% 15.35/4.03 |-The branch is then unsatisfiable
% 15.35/4.03 |-Branch two:
% 15.35/4.03 | (823) ~ (all_0_136_136 = e21)
% 15.35/4.03 | (2373) all_0_136_136 = e22 | all_0_136_136 = e20
% 15.35/4.03 |
% 15.35/4.03 +-Applying beta-rule and splitting (2373), into two cases.
% 15.35/4.03 |-Branch one:
% 15.35/4.03 | (2134) all_0_136_136 = e22
% 15.35/4.03 |
% 15.35/4.03 | Equations (2134) can reduce 2294 to:
% 15.35/4.03 | (422) $false
% 15.35/4.03 |
% 15.35/4.03 |-The branch is then unsatisfiable
% 15.35/4.03 |-Branch two:
% 15.35/4.03 | (2294) ~ (all_0_136_136 = e22)
% 15.35/4.03 | (780) all_0_136_136 = e20
% 15.35/4.03 |
% 15.35/4.03 | Equations (780) can reduce 763 to:
% 15.35/4.03 | (422) $false
% 15.35/4.03 |
% 15.35/4.03 |-The branch is then unsatisfiable
% 15.35/4.03 |-Branch two:
% 15.35/4.03 | (742) ~ (all_0_134_134 = e21)
% 15.35/4.03 | (753) all_0_134_134 = e22 | all_0_134_134 = e20
% 15.35/4.03 |
% 15.35/4.03 +-Applying beta-rule and splitting (753), into two cases.
% 15.35/4.03 |-Branch one:
% 15.35/4.03 | (754) all_0_134_134 = e22
% 15.35/4.03 |
% 15.35/4.03 | Equations (754) can reduce 1158 to:
% 15.35/4.03 | (422) $false
% 15.35/4.03 |
% 15.35/4.03 |-The branch is then unsatisfiable
% 15.35/4.03 |-Branch two:
% 15.35/4.03 | (1158) ~ (all_0_134_134 = e22)
% 15.35/4.03 | (1159) all_0_134_134 = e20
% 15.35/4.03 |
% 15.35/4.03 | Equations (1159) can reduce 471 to:
% 15.35/4.03 | (422) $false
% 15.35/4.03 |
% 15.35/4.03 |-The branch is then unsatisfiable
% 15.35/4.03 |-Branch two:
% 15.35/4.03 | (507) ~ (all_0_133_133 = e23)
% 15.35/4.03 | (2387) all_0_137_137 = e23 | all_0_140_140 = e23
% 15.35/4.03 |
% 15.35/4.03 +-Applying beta-rule and splitting (2387), into two cases.
% 15.35/4.03 |-Branch one:
% 15.35/4.03 | (433) all_0_137_137 = e23
% 15.35/4.03 |
% 15.35/4.03 | Equations (433) can reduce 408 to:
% 15.35/4.03 | (422) $false
% 15.35/4.03 |
% 15.35/4.03 |-The branch is then unsatisfiable
% 15.35/4.03 |-Branch two:
% 15.35/4.03 | (408) ~ (all_0_137_137 = e23)
% 15.35/4.03 | (407) all_0_140_140 = e23
% 15.35/4.03 |
% 15.35/4.03 | Combining equations (726,407) yields a new equation:
% 15.35/4.03 | (441) e23 = e21
% 15.35/4.03 |
% 15.35/4.03 | Equations (441) can reduce 264 to:
% 15.35/4.03 | (422) $false
% 15.35/4.03 |
% 15.35/4.03 |-The branch is then unsatisfiable
% 15.35/4.03 |-Branch two:
% 15.35/4.03 | (830) ~ (all_0_138_138 = e20)
% 15.35/4.03 | (829) all_0_141_141 = e20
% 15.35/4.03 |
% 15.35/4.03 | Combining equations (829,449) yields a new equation:
% 15.35/4.03 | (421) e23 = e20
% 15.35/4.03 |
% 15.35/4.03 | Equations (421) can reduce 249 to:
% 15.35/4.03 | (422) $false
% 15.35/4.03 |
% 15.35/4.03 |-The branch is then unsatisfiable
% 15.35/4.03 |-Branch two:
% 15.35/4.03 | (505) ~ (all_0_129_129 = e23)
% 15.35/4.03 | (516) all_0_130_130 = e23
% 15.35/4.03 |
% 15.35/4.03 | Equations (516) can reduce 110 to:
% 15.35/4.03 | (520) ~ (all_0_138_138 = e23)
% 15.35/4.03 |
% 15.35/4.03 | Simplifying 520 yields:
% 15.35/4.03 | (521) ~ (all_0_138_138 = e23)
% 15.35/4.03 |
% 15.35/4.03 | Equations (516) can reduce 322 to:
% 15.35/4.03 | (409) ~ (all_0_141_141 = e23)
% 15.35/4.03 |
% 15.35/4.03 | Simplifying 409 yields:
% 15.35/4.03 | (410) ~ (all_0_141_141 = e23)
% 15.35/4.03 |
% 15.35/4.03 | Equations (516) can reduce 368 to:
% 15.35/4.03 | (249) ~ (e23 = e20)
% 15.35/4.03 |
% 15.35/4.03 | From (516)(516) and (87) follows:
% 15.35/4.03 | (2405) op2(e23, e23) = all_0_104_104
% 15.35/4.03 |
% 15.35/4.03 +-Applying beta-rule and splitting (215), into two cases.
% 15.35/4.03 |-Branch one:
% 15.35/4.03 | (839) all_0_139_139 = e23
% 15.35/4.03 |
% 15.35/4.03 | Equations (839) can reduce 117 to:
% 15.35/4.03 | (505) ~ (all_0_129_129 = e23)
% 15.35/4.03 |
% 15.35/4.03 | Equations (839) can reduce 325 to:
% 15.35/4.03 | (2024) ~ (all_0_136_136 = e23)
% 15.35/4.03 |
% 15.35/4.03 | From (839)(839) and (252) follows:
% 15.35/4.03 | (2409) op2(e23, e23) = all_0_113_113
% 15.35/4.03 |
% 15.35/4.03 +-Applying beta-rule and splitting (119), into two cases.
% 15.35/4.03 |-Branch one:
% 15.35/4.03 | (513) all_0_129_129 = e23
% 15.35/4.03 |
% 15.35/4.03 | Equations (513) can reduce 505 to:
% 15.35/4.03 | (422) $false
% 15.35/4.03 |
% 15.35/4.03 |-The branch is then unsatisfiable
% 15.35/4.03 |-Branch two:
% 15.35/4.03 | (505) ~ (all_0_129_129 = e23)
% 15.35/4.03 | (528) all_0_129_129 = e22
% 15.35/4.03 |
% 15.35/4.03 | Equations (528) can reduce 140 to:
% 15.35/4.03 | (2414) ~ (all_0_132_132 = e22)
% 15.35/4.03 |
% 15.35/4.03 | Simplifying 2414 yields:
% 15.35/4.03 | (2112) ~ (all_0_132_132 = e22)
% 15.35/4.03 |
% 15.35/4.03 | From (528)(528) and (362) follows:
% 15.35/4.03 | (2416) op2(e22, e22) = all_0_103_103
% 15.35/4.03 |
% 15.35/4.03 +-Applying beta-rule and splitting (55), into two cases.
% 15.35/4.03 |-Branch one:
% 15.35/4.03 | (762) all_0_139_139 = e20
% 15.35/4.03 |
% 15.35/4.03 | Combining equations (839,762) yields a new equation:
% 15.35/4.03 | (2191) e23 = e20
% 15.35/4.03 |
% 15.35/4.03 | Simplifying 2191 yields:
% 15.35/4.03 | (421) e23 = e20
% 15.35/4.03 |
% 15.35/4.03 | Equations (421) can reduce 249 to:
% 15.35/4.03 | (422) $false
% 15.35/4.03 |
% 15.35/4.03 |-The branch is then unsatisfiable
% 15.35/4.03 |-Branch two:
% 15.35/4.03 | (828) ~ (all_0_139_139 = e20)
% 15.35/4.03 | (829) all_0_141_141 = e20
% 15.35/4.03 |
% 15.35/4.03 | Equations (829) can reduce 229 to:
% 15.35/4.03 | (830) ~ (all_0_138_138 = e20)
% 15.35/4.03 |
% 15.35/4.03 | From (829) and (318) follows:
% 15.35/4.03 | (2424) op2(e20, all_0_102_102) = all_0_88_88
% 15.35/4.03 |
% 15.35/4.03 | From (829)(829) and (103) follows:
% 15.35/4.03 | (2425) op2(e20, e20) = all_0_115_115
% 15.35/4.03 |
% 15.35/4.03 | From (829) and (106) follows:
% 15.35/4.03 | (2426) op2(e20, e20) = all_0_82_82
% 15.35/4.03 |
% 15.35/4.03 | From (829) and (295) follows:
% 15.35/4.03 | (2427) op2(e20, e20) = all_0_102_102
% 15.35/4.03 |
% 15.35/4.03 | From (829) and (28) follows:
% 15.35/4.03 | (2428) op2(e20, e20) = e20
% 15.35/4.03 |
% 15.35/4.03 | Instantiating formula (328) with e23, e23, all_0_104_104, e21 and discharging atoms op2(e23, e23) = all_0_104_104, op2(e23, e23) = e21, yields:
% 15.35/4.03 | (2150) all_0_104_104 = e21
% 15.35/4.03 |
% 15.35/4.03 | Instantiating formula (328) with e23, e23, all_0_113_113, all_0_104_104 and discharging atoms op2(e23, e23) = all_0_104_104, op2(e23, e23) = all_0_113_113, yields:
% 15.35/4.03 | (2430) all_0_104_104 = all_0_113_113
% 15.35/4.03 |
% 15.35/4.03 | Instantiating formula (328) with e22, e22, all_0_103_103, all_0_132_132 and discharging atoms op2(e22, e22) = all_0_103_103, op2(e22, e22) = all_0_132_132, yields:
% 15.35/4.03 | (2431) all_0_103_103 = all_0_132_132
% 15.35/4.03 |
% 15.35/4.03 | Instantiating formula (328) with e20, e20, all_0_102_102, all_0_82_82 and discharging atoms op2(e20, e20) = all_0_82_82, op2(e20, e20) = all_0_102_102, yields:
% 15.35/4.03 | (2432) all_0_82_82 = all_0_102_102
% 15.35/4.03 |
% 15.35/4.03 | Instantiating formula (328) with e20, e20, all_0_115_115, all_0_102_102 and discharging atoms op2(e20, e20) = all_0_102_102, op2(e20, e20) = all_0_115_115, yields:
% 15.35/4.03 | (2433) all_0_102_102 = all_0_115_115
% 15.35/4.03 |
% 15.35/4.03 | Instantiating formula (328) with e20, e20, e20, all_0_82_82 and discharging atoms op2(e20, e20) = all_0_82_82, op2(e20, e20) = e20, yields:
% 15.35/4.03 | (2434) all_0_82_82 = e20
% 15.35/4.03 |
% 15.35/4.03 | Combining equations (2432,2434) yields a new equation:
% 15.35/4.03 | (2435) all_0_102_102 = e20
% 15.35/4.03 |
% 15.35/4.03 | Simplifying 2435 yields:
% 15.35/4.03 | (2436) all_0_102_102 = e20
% 15.35/4.03 |
% 15.35/4.03 | Combining equations (2433,2436) yields a new equation:
% 15.35/4.03 | (2437) all_0_115_115 = e20
% 15.35/4.03 |
% 15.35/4.03 | Simplifying 2437 yields:
% 15.35/4.03 | (454) all_0_115_115 = e20
% 15.35/4.03 |
% 15.35/4.03 | Combining equations (2150,2430) yields a new equation:
% 15.35/4.03 | (2439) all_0_113_113 = e21
% 15.35/4.03 |
% 15.35/4.03 | From (2436) and (260) follows:
% 15.35/4.03 | (2440) op2(all_0_101_101, e20) = all_0_80_80
% 15.35/4.03 |
% 15.35/4.03 | From (2436) and (259) follows:
% 15.35/4.04 | (2441) op2(e20, all_0_101_101) = all_0_91_91
% 15.35/4.04 |
% 15.35/4.04 | From (2436)(2436) and (364) follows:
% 15.35/4.04 | (2442) op2(e20, e20) = all_0_95_95
% 15.35/4.04 |
% 15.35/4.04 | From (2436) and (57) follows:
% 15.35/4.04 | (2443) op2(e20, e20) = all_0_101_101
% 15.35/4.04 |
% 15.35/4.04 | From (2439) and (2409) follows:
% 15.35/4.04 | (266) op2(e23, e23) = e21
% 15.35/4.04 |
% 15.35/4.04 | From (2431) and (2416) follows:
% 15.35/4.04 | (283) op2(e22, e22) = all_0_132_132
% 15.35/4.04 |
% 15.35/4.04 | From (2436) and (2424) follows:
% 15.35/4.04 | (2446) op2(e20, e20) = all_0_88_88
% 15.35/4.04 |
% 15.35/4.04 | From (454) and (2425) follows:
% 15.35/4.04 | (2428) op2(e20, e20) = e20
% 15.35/4.04 |
% 15.35/4.04 | Instantiating formula (328) with e20, e20, all_0_95_95, e20 and discharging atoms op2(e20, e20) = all_0_95_95, op2(e20, e20) = e20, yields:
% 15.35/4.04 | (2448) all_0_95_95 = e20
% 15.35/4.04 |
% 15.35/4.04 | Instantiating formula (328) with e20, e20, all_0_95_95, all_0_88_88 and discharging atoms op2(e20, e20) = all_0_88_88, op2(e20, e20) = all_0_95_95, yields:
% 15.35/4.04 | (2449) all_0_88_88 = all_0_95_95
% 15.35/4.04 |
% 15.35/4.04 | Instantiating formula (328) with e20, e20, all_0_101_101, all_0_88_88 and discharging atoms op2(e20, e20) = all_0_88_88, op2(e20, e20) = all_0_101_101, yields:
% 15.35/4.04 | (2450) all_0_88_88 = all_0_101_101
% 15.35/4.04 |
% 15.35/4.04 | Combining equations (2449,2450) yields a new equation:
% 15.35/4.04 | (2451) all_0_95_95 = all_0_101_101
% 15.35/4.04 |
% 15.35/4.04 | Simplifying 2451 yields:
% 15.35/4.04 | (2452) all_0_95_95 = all_0_101_101
% 15.35/4.04 |
% 15.35/4.04 | Combining equations (2452,2448) yields a new equation:
% 15.35/4.04 | (2453) all_0_101_101 = e20
% 15.35/4.04 |
% 15.35/4.04 | Simplifying 2453 yields:
% 15.35/4.04 | (2454) all_0_101_101 = e20
% 15.35/4.04 |
% 15.35/4.04 | From (2454)(2454) and (366) follows:
% 15.35/4.04 | (2455) op2(e20, e20) = all_0_76_76
% 15.35/4.04 |
% 15.35/4.04 | From (2454) and (2440) follows:
% 15.35/4.04 | (2456) op2(e20, e20) = all_0_80_80
% 15.35/4.04 |
% 15.35/4.04 | From (2454) and (2441) follows:
% 15.35/4.04 | (2457) op2(e20, e20) = all_0_91_91
% 15.35/4.04 |
% 15.35/4.04 | From (2454) and (2443) follows:
% 15.35/4.04 | (2428) op2(e20, e20) = e20
% 15.35/4.04 |
% 15.35/4.04 | Instantiating formula (328) with e20, e20, all_0_76_76, e20 and discharging atoms op2(e20, e20) = all_0_76_76, op2(e20, e20) = e20, yields:
% 15.35/4.04 | (2459) all_0_76_76 = e20
% 15.35/4.04 |
% 15.35/4.04 | Instantiating formula (328) with e20, e20, all_0_80_80, all_0_76_76 and discharging atoms op2(e20, e20) = all_0_76_76, op2(e20, e20) = all_0_80_80, yields:
% 15.35/4.04 | (2460) all_0_76_76 = all_0_80_80
% 15.35/4.04 |
% 15.35/4.04 | Instantiating formula (328) with e20, e20, all_0_91_91, all_0_76_76 and discharging atoms op2(e20, e20) = all_0_76_76, op2(e20, e20) = all_0_91_91, yields:
% 15.35/4.04 | (2461) all_0_76_76 = all_0_91_91
% 15.35/4.04 |
% 15.35/4.04 | Combining equations (2461,2460) yields a new equation:
% 15.35/4.04 | (2462) all_0_80_80 = all_0_91_91
% 15.35/4.04 |
% 15.35/4.04 | Combining equations (2459,2460) yields a new equation:
% 15.35/4.04 | (2463) all_0_80_80 = e20
% 15.35/4.04 |
% 15.35/4.04 | Combining equations (2462,2463) yields a new equation:
% 15.35/4.04 | (2464) all_0_91_91 = e20
% 15.35/4.04 |
% 15.35/4.04 | Simplifying 2464 yields:
% 15.35/4.04 | (2465) all_0_91_91 = e20
% 15.35/4.04 |
% 15.35/4.04 | From (2465) and (2457) follows:
% 15.35/4.04 | (2428) op2(e20, e20) = e20
% 15.35/4.04 |
% 15.35/4.04 +-Applying beta-rule and splitting (124), into two cases.
% 15.35/4.04 |-Branch one:
% 15.35/4.04 | (458) all_0_135_135 = e23
% 15.35/4.04 |
% 15.35/4.04 | Equations (458) can reduce 74 to:
% 15.35/4.04 | (457) ~ (all_0_131_131 = e23)
% 15.35/4.04 |
% 15.35/4.04 | Equations (458) can reduce 34 to:
% 15.35/4.04 | (2023) ~ (all_0_136_136 = e23)
% 15.35/4.04 |
% 15.35/4.04 | Simplifying 2023 yields:
% 15.35/4.04 | (2024) ~ (all_0_136_136 = e23)
% 15.35/4.04 |
% 15.35/4.04 | Equations (458) can reduce 56 to:
% 15.35/4.04 | (460) ~ (all_0_137_137 = e23)
% 15.35/4.04 |
% 15.35/4.04 | Simplifying 460 yields:
% 15.35/4.04 | (408) ~ (all_0_137_137 = e23)
% 15.35/4.04 |
% 15.35/4.04 | Equations (458) can reduce 370 to:
% 15.35/4.04 | (520) ~ (all_0_138_138 = e23)
% 15.35/4.04 |
% 15.35/4.04 | Simplifying 520 yields:
% 15.35/4.04 | (521) ~ (all_0_138_138 = e23)
% 15.35/4.04 |
% 15.35/4.04 | Equations (458) can reduce 31 to:
% 15.35/4.04 | (264) ~ (e23 = e21)
% 15.35/4.04 |
% 15.35/4.04 +-Applying beta-rule and splitting (263), into two cases.
% 15.35/4.04 |-Branch one:
% 15.35/4.04 | (415) all_0_131_131 = e23
% 15.35/4.04 |
% 15.35/4.04 | Equations (415) can reduce 457 to:
% 15.35/4.04 | (422) $false
% 15.35/4.04 |
% 15.35/4.04 |-The branch is then unsatisfiable
% 15.35/4.04 |-Branch two:
% 15.35/4.04 | (457) ~ (all_0_131_131 = e23)
% 15.35/4.04 | (420) all_0_131_131 = e20
% 15.35/4.04 |
% 15.35/4.04 | Equations (420) can reduce 261 to:
% 15.35/4.04 | (470) ~ (all_0_134_134 = e20)
% 15.35/4.04 |
% 15.35/4.04 | Simplifying 470 yields:
% 15.35/4.04 | (471) ~ (all_0_134_134 = e20)
% 15.35/4.04 |
% 15.35/4.04 +-Applying beta-rule and splitting (377), into two cases.
% 15.35/4.04 |-Branch one:
% 15.35/4.04 | (433) all_0_137_137 = e23
% 15.35/4.04 |
% 15.35/4.04 | Equations (433) can reduce 408 to:
% 15.35/4.04 | (422) $false
% 15.35/4.04 |
% 15.35/4.04 |-The branch is then unsatisfiable
% 15.35/4.04 |-Branch two:
% 15.35/4.04 | (408) ~ (all_0_137_137 = e23)
% 15.35/4.04 | (701) all_0_137_137 = e22 | all_0_137_137 = e21
% 15.35/4.04 |
% 15.35/4.04 +-Applying beta-rule and splitting (701), into two cases.
% 15.35/4.04 |-Branch one:
% 15.35/4.04 | (702) all_0_137_137 = e21
% 15.35/4.04 |
% 15.35/4.04 | Equations (702) can reduce 733 to:
% 15.35/4.04 | (422) $false
% 15.35/4.04 |
% 15.35/4.04 |-The branch is then unsatisfiable
% 15.35/4.04 |-Branch two:
% 15.35/4.04 | (733) ~ (all_0_137_137 = e21)
% 15.35/4.04 | (734) all_0_137_137 = e22
% 15.35/4.04 |
% 15.35/4.04 | Combining equations (734,2018) yields a new equation:
% 15.35/4.04 | (2490) all_0_114_114 = e22
% 15.35/4.04 |
% 15.35/4.04 | Equations (734) can reduce 214 to:
% 15.35/4.04 | (736) ~ (all_0_133_133 = e22)
% 15.35/4.04 |
% 15.35/4.04 | Equations (734) can reduce 242 to:
% 15.35/4.04 | (2294) ~ (all_0_136_136 = e22)
% 15.35/4.04 |
% 15.35/4.04 | Equations (734) can reduce 25 to:
% 15.35/4.04 | (755) ~ (all_0_138_138 = e22)
% 15.35/4.04 |
% 15.35/4.04 | Simplifying 755 yields:
% 15.35/4.04 | (756) ~ (all_0_138_138 = e22)
% 15.35/4.04 |
% 15.35/4.04 | Equations (734) can reduce 408 to:
% 15.35/4.04 | (2113) ~ (e23 = e22)
% 15.35/4.04 |
% 15.35/4.04 | Simplifying 2113 yields:
% 15.35/4.04 | (22) ~ (e23 = e22)
% 15.35/4.04 |
% 15.35/4.04 | From (734)(734) and (143) follows:
% 15.35/4.04 | (2497) op2(e22, e22) = all_0_111_111
% 15.35/4.04 |
% 15.35/4.04 | From (734) and (281) follows:
% 15.35/4.04 | (712) op2(e21, e21) = e22
% 15.35/4.04 |
% 15.35/4.04 +-Applying beta-rule and splitting (313), into two cases.
% 15.35/4.04 |-Branch one:
% 15.35/4.04 | (2099) all_0_133_133 = e23
% 15.35/4.04 |
% 15.35/4.05 | Equations (2099) can reduce 736 to:
% 15.35/4.05 | (22) ~ (e23 = e22)
% 15.35/4.05 |
% 15.35/4.05 +-Applying beta-rule and splitting (256), into two cases.
% 15.35/4.05 |-Branch one:
% 15.35/4.05 | (844) all_0_138_138 = e23
% 15.35/4.05 |
% 15.35/4.05 | Equations (844) can reduce 521 to:
% 15.35/4.05 | (422) $false
% 15.35/4.05 |
% 15.35/4.05 |-The branch is then unsatisfiable
% 15.35/4.05 |-Branch two:
% 15.35/4.05 | (521) ~ (all_0_138_138 = e23)
% 15.35/4.05 | (847) all_0_138_138 = e22 | all_0_138_138 = e21 | all_0_138_138 = e20
% 15.35/4.05 |
% 15.35/4.05 +-Applying beta-rule and splitting (847), into two cases.
% 15.35/4.05 |-Branch one:
% 15.35/4.05 | (797) all_0_138_138 = e21
% 15.35/4.05 |
% 15.35/4.05 | Equations (797) can reduce 96 to:
% 15.35/4.05 | (742) ~ (all_0_134_134 = e21)
% 15.35/4.05 |
% 15.35/4.05 | Equations (797) can reduce 357 to:
% 15.35/4.05 | (823) ~ (all_0_136_136 = e21)
% 15.35/4.05 |
% 15.35/4.05 | Equations (797) can reduce 521 to:
% 15.35/4.05 | (703) ~ (e23 = e21)
% 15.35/4.05 |
% 15.35/4.05 | Simplifying 703 yields:
% 15.35/4.05 | (264) ~ (e23 = e21)
% 15.35/4.05 |
% 15.35/4.05 | From (797)(797) and (202) follows:
% 15.35/4.05 | (2510) op2(e21, e21) = all_0_112_112
% 15.35/4.05 |
% 15.35/4.05 +-Applying beta-rule and splitting (300), into two cases.
% 15.35/4.05 |-Branch one:
% 15.35/4.05 | (2122) all_0_136_136 = e23
% 15.35/4.05 |
% 15.35/4.05 | Equations (2122) can reduce 2024 to:
% 15.35/4.05 | (422) $false
% 15.35/4.05 |
% 15.35/4.05 |-The branch is then unsatisfiable
% 15.35/4.05 |-Branch two:
% 15.35/4.05 | (2024) ~ (all_0_136_136 = e23)
% 15.35/4.05 | (2301) all_0_136_136 = e22 | all_0_136_136 = e21 | all_0_136_136 = e20
% 15.35/4.05 |
% 15.35/4.05 +-Applying beta-rule and splitting (157), into two cases.
% 15.35/4.05 |-Branch one:
% 15.35/4.05 | (2131) all_0_132_132 = e22
% 15.35/4.05 |
% 15.35/4.05 | Equations (2131) can reduce 2112 to:
% 15.35/4.05 | (422) $false
% 15.35/4.05 |
% 15.35/4.05 |-The branch is then unsatisfiable
% 15.35/4.05 |-Branch two:
% 15.35/4.05 | (2112) ~ (all_0_132_132 = e22)
% 15.35/4.05 | (2363) all_0_133_133 = e22 | all_0_134_134 = e22
% 15.35/4.05 |
% 15.35/4.05 +-Applying beta-rule and splitting (2301), into two cases.
% 15.35/4.05 |-Branch one:
% 15.35/4.05 | (792) all_0_136_136 = e21
% 15.35/4.05 |
% 15.35/4.05 | Equations (792) can reduce 823 to:
% 15.35/4.05 | (422) $false
% 15.35/4.05 |
% 15.35/4.05 |-The branch is then unsatisfiable
% 15.35/4.05 |-Branch two:
% 15.35/4.05 | (823) ~ (all_0_136_136 = e21)
% 15.35/4.05 | (2373) all_0_136_136 = e22 | all_0_136_136 = e20
% 15.35/4.05 |
% 15.35/4.05 +-Applying beta-rule and splitting (2373), into two cases.
% 15.35/4.05 |-Branch one:
% 15.35/4.05 | (2134) all_0_136_136 = e22
% 15.35/4.05 |
% 15.35/4.05 | Equations (2134) can reduce 2294 to:
% 15.35/4.05 | (422) $false
% 15.35/4.05 |
% 15.35/4.05 |-The branch is then unsatisfiable
% 15.35/4.05 |-Branch two:
% 15.35/4.05 | (2294) ~ (all_0_136_136 = e22)
% 15.35/4.05 | (780) all_0_136_136 = e20
% 15.35/4.05 |
% 15.35/4.05 | Equations (780) can reduce 82 to:
% 15.35/4.05 | (2263) ~ (all_0_132_132 = e20)
% 15.35/4.05 |
% 15.35/4.05 +-Applying beta-rule and splitting (2363), into two cases.
% 15.35/4.05 |-Branch one:
% 15.35/4.05 | (681) all_0_133_133 = e22
% 15.35/4.05 |
% 15.35/4.05 | Combining equations (2099,681) yields a new equation:
% 15.35/4.05 | (2117) e23 = e22
% 15.35/4.05 |
% 15.35/4.05 | Simplifying 2117 yields:
% 15.35/4.05 | (2118) e23 = e22
% 15.35/4.05 |
% 15.35/4.05 | Equations (2118) can reduce 22 to:
% 15.35/4.05 | (422) $false
% 15.35/4.05 |
% 15.35/4.05 |-The branch is then unsatisfiable
% 15.35/4.05 |-Branch two:
% 15.35/4.05 | (736) ~ (all_0_133_133 = e22)
% 15.35/4.05 | (754) all_0_134_134 = e22
% 15.35/4.05 |
% 15.35/4.05 | Equations (754) can reduce 168 to:
% 15.35/4.05 | (2112) ~ (all_0_132_132 = e22)
% 15.35/4.05 |
% 15.35/4.05 | Equations (754) can reduce 742 to:
% 15.35/4.05 | (219) ~ (e22 = e21)
% 15.35/4.05 |
% 15.35/4.05 | Equations (754) can reduce 471 to:
% 15.35/4.05 | (112) ~ (e22 = e20)
% 15.35/4.05 |
% 15.35/4.05 | From (754)(754) and (161) follows:
% 15.35/4.05 | (2537) op2(e22, e22) = all_0_108_108
% 15.35/4.05 |
% 15.35/4.05 +-Applying beta-rule and splitting (211), into two cases.
% 15.35/4.05 |-Branch one:
% 15.35/4.05 | (684) all_0_132_132 = e21
% 15.35/4.05 |
% 15.35/4.05 | Equations (684) can reduce 2112 to:
% 15.35/4.05 | (710) ~ (e22 = e21)
% 15.35/4.05 |
% 15.35/4.05 | Simplifying 710 yields:
% 15.35/4.05 | (219) ~ (e22 = e21)
% 15.35/4.05 |
% 15.35/4.05 | Equations (684) can reduce 2263 to:
% 15.35/4.05 | (319) ~ (e21 = e20)
% 15.35/4.05 |
% 15.35/4.05 | From (684)(684) and (43) follows:
% 15.35/4.05 | (2542) op2(e21, e21) = all_0_106_106
% 15.35/4.05 |
% 15.35/4.05 | From (684) and (283) follows:
% 15.35/4.05 | (2151) op2(e22, e22) = e21
% 15.35/4.05 |
% 15.35/4.05 | Instantiating formula (328) with e22, e22, all_0_111_111, all_0_108_108 and discharging atoms op2(e22, e22) = all_0_108_108, op2(e22, e22) = all_0_111_111, yields:
% 15.35/4.05 | (2544) all_0_108_108 = all_0_111_111
% 15.35/4.05 |
% 15.35/4.05 | Instantiating formula (328) with e22, e22, e21, all_0_108_108 and discharging atoms op2(e22, e22) = all_0_108_108, op2(e22, e22) = e21, yields:
% 15.35/4.05 | (2545) all_0_108_108 = e21
% 15.35/4.05 |
% 15.35/4.05 | Instantiating formula (328) with e21, e21, all_0_112_112, all_0_106_106 and discharging atoms op2(e21, e21) = all_0_106_106, op2(e21, e21) = all_0_112_112, yields:
% 15.35/4.05 | (2546) all_0_106_106 = all_0_112_112
% 15.35/4.05 |
% 15.35/4.05 | Instantiating formula (328) with e21, e21, e22, all_0_106_106 and discharging atoms op2(e21, e21) = all_0_106_106, op2(e21, e21) = e22, yields:
% 15.35/4.05 | (438) all_0_106_106 = e22
% 15.35/4.05 |
% 15.35/4.05 | Combining equations (2546,438) yields a new equation:
% 15.35/4.05 | (2548) all_0_112_112 = e22
% 15.35/4.05 |
% 15.35/4.05 | Simplifying 2548 yields:
% 15.35/4.05 | (2549) all_0_112_112 = e22
% 15.35/4.05 |
% 15.35/4.05 | Combining equations (2545,2544) yields a new equation:
% 15.35/4.05 | (446) all_0_111_111 = e21
% 15.35/4.05 |
% 15.35/4.05 | Combining equations (446,2544) yields a new equation:
% 15.35/4.05 | (2545) all_0_108_108 = e21
% 15.35/4.05 |
% 15.35/4.05 +-Applying beta-rule and splitting (179), into two cases.
% 15.35/4.05 |-Branch one:
% 15.35/4.05 | (428) (all_0_103_103 = e22 & all_0_104_104 = e20 & all_0_137_137 = e23 & all_0_141_141 = e21) | (all_0_105_105 = e23 & all_0_106_106 = e22 & all_0_107_107 = e21 & all_0_108_108 = e20) | (all_0_109_109 = e23 & all_0_110_110 = e22 & all_0_111_111 = e21 & all_0_112_112 = e20)
% 15.35/4.05 |
% 15.35/4.05 +-Applying beta-rule and splitting (428), into two cases.
% 15.35/4.05 |-Branch one:
% 15.35/4.05 | (429) (all_0_103_103 = e22 & all_0_104_104 = e20 & all_0_137_137 = e23 & all_0_141_141 = e21) | (all_0_105_105 = e23 & all_0_106_106 = e22 & all_0_107_107 = e21 & all_0_108_108 = e20)
% 15.35/4.05 |
% 15.35/4.05 +-Applying beta-rule and splitting (429), into two cases.
% 15.35/4.05 |-Branch one:
% 15.35/4.05 | (430) all_0_103_103 = e22 & all_0_104_104 = e20 & all_0_137_137 = e23 & all_0_141_141 = e21
% 15.35/4.05 |
% 15.35/4.05 | Applying alpha-rule on (430) yields:
% 15.35/4.05 | (431) all_0_103_103 = e22
% 15.35/4.05 | (432) all_0_104_104 = e20
% 15.35/4.05 | (433) all_0_137_137 = e23
% 15.35/4.05 | (434) all_0_141_141 = e21
% 15.35/4.05 |
% 15.35/4.05 | Combining equations (829,434) yields a new equation:
% 15.35/4.05 | (798) e21 = e20
% 15.35/4.05 |
% 15.35/4.05 | Equations (798) can reduce 319 to:
% 15.35/4.05 | (422) $false
% 15.35/4.05 |
% 15.35/4.05 |-The branch is then unsatisfiable
% 15.35/4.05 |-Branch two:
% 15.35/4.05 | (436) all_0_105_105 = e23 & all_0_106_106 = e22 & all_0_107_107 = e21 & all_0_108_108 = e20
% 15.35/4.05 |
% 15.35/4.05 | Applying alpha-rule on (436) yields:
% 15.35/4.05 | (437) all_0_105_105 = e23
% 15.35/4.05 | (438) all_0_106_106 = e22
% 15.35/4.05 | (439) all_0_107_107 = e21
% 15.35/4.05 | (440) all_0_108_108 = e20
% 15.35/4.05 |
% 15.35/4.05 | Combining equations (440,2545) yields a new equation:
% 15.35/4.05 | (798) e21 = e20
% 15.35/4.05 |
% 15.35/4.05 | Equations (798) can reduce 319 to:
% 15.35/4.05 | (422) $false
% 15.35/4.05 |
% 15.35/4.05 |-The branch is then unsatisfiable
% 15.35/4.05 |-Branch two:
% 15.35/4.05 | (443) all_0_109_109 = e23 & all_0_110_110 = e22 & all_0_111_111 = e21 & all_0_112_112 = e20
% 15.35/4.05 |
% 15.35/4.05 | Applying alpha-rule on (443) yields:
% 15.35/4.05 | (444) all_0_109_109 = e23
% 15.35/4.05 | (445) all_0_110_110 = e22
% 15.35/4.05 | (446) all_0_111_111 = e21
% 15.35/4.05 | (447) all_0_112_112 = e20
% 15.35/4.05 |
% 15.35/4.05 | Combining equations (2549,447) yields a new equation:
% 15.35/4.05 | (819) e22 = e20
% 15.35/4.05 |
% 15.35/4.05 | Simplifying 819 yields:
% 15.35/4.05 | (820) e22 = e20
% 15.35/4.05 |
% 15.35/4.05 | Equations (820) can reduce 112 to:
% 15.35/4.05 | (422) $false
% 15.35/4.05 |
% 15.35/4.05 |-The branch is then unsatisfiable
% 15.35/4.05 |-Branch two:
% 15.35/4.05 | (451) all_0_113_113 = e22 & all_0_114_114 = e21 & all_0_115_115 = e20 & all_0_132_132 = e23
% 15.35/4.05 |
% 15.35/4.05 | Applying alpha-rule on (451) yields:
% 15.35/4.05 | (452) all_0_113_113 = e22
% 15.35/4.05 | (413) all_0_114_114 = e21
% 15.35/4.05 | (454) all_0_115_115 = e20
% 15.35/4.05 | (455) all_0_132_132 = e23
% 15.35/4.05 |
% 15.35/4.05 | Combining equations (2490,413) yields a new equation:
% 15.35/4.05 | (691) e22 = e21
% 15.35/4.05 |
% 15.35/4.05 | Simplifying 691 yields:
% 15.35/4.05 | (692) e22 = e21
% 15.35/4.05 |
% 15.35/4.05 | Equations (692) can reduce 219 to:
% 15.35/4.05 | (422) $false
% 15.35/4.05 |
% 15.35/4.05 |-The branch is then unsatisfiable
% 15.35/4.05 |-Branch two:
% 15.35/4.05 | (688) ~ (all_0_132_132 = e21)
% 15.35/4.05 | (689) all_0_133_133 = e21 | all_0_134_134 = e21
% 15.35/4.05 |
% 15.35/4.05 +-Applying beta-rule and splitting (689), into two cases.
% 15.35/4.05 |-Branch one:
% 15.35/4.05 | (690) all_0_133_133 = e21
% 15.35/4.05 |
% 15.35/4.05 | Combining equations (690,2099) yields a new equation:
% 15.35/4.05 | (441) e23 = e21
% 15.35/4.05 |
% 15.35/4.05 | Equations (441) can reduce 264 to:
% 15.35/4.05 | (422) $false
% 15.35/4.05 |
% 15.35/4.05 |-The branch is then unsatisfiable
% 15.35/4.05 |-Branch two:
% 15.35/4.05 | (694) ~ (all_0_133_133 = e21)
% 15.35/4.05 | (695) all_0_134_134 = e21
% 15.35/4.05 |
% 15.35/4.05 | Combining equations (754,695) yields a new equation:
% 15.35/4.05 | (691) e22 = e21
% 15.35/4.05 |
% 15.35/4.05 | Simplifying 691 yields:
% 15.35/4.06 | (692) e22 = e21
% 15.35/4.06 |
% 15.35/4.06 | Equations (692) can reduce 219 to:
% 15.35/4.06 | (422) $false
% 15.35/4.06 |
% 15.35/4.06 |-The branch is then unsatisfiable
% 15.35/4.06 |-Branch two:
% 15.35/4.06 | (800) ~ (all_0_138_138 = e21)
% 15.35/4.06 | (1146) all_0_138_138 = e22 | all_0_138_138 = e20
% 15.35/4.06 |
% 15.35/4.06 +-Applying beta-rule and splitting (1146), into two cases.
% 15.35/4.06 |-Branch one:
% 15.35/4.06 | (1147) all_0_138_138 = e22
% 15.35/4.06 |
% 15.35/4.06 | Equations (1147) can reduce 756 to:
% 15.35/4.06 | (422) $false
% 15.35/4.06 |
% 15.35/4.06 |-The branch is then unsatisfiable
% 15.35/4.06 |-Branch two:
% 15.35/4.06 | (756) ~ (all_0_138_138 = e22)
% 15.35/4.06 | (783) all_0_138_138 = e20
% 15.35/4.06 |
% 15.35/4.06 | Equations (783) can reduce 830 to:
% 15.35/4.06 | (422) $false
% 15.35/4.06 |
% 15.35/4.06 |-The branch is then unsatisfiable
% 15.35/4.06 |-Branch two:
% 15.35/4.06 | (507) ~ (all_0_133_133 = e23)
% 15.35/4.06 | (2387) all_0_137_137 = e23 | all_0_140_140 = e23
% 15.35/4.06 |
% 15.35/4.06 +-Applying beta-rule and splitting (2387), into two cases.
% 15.35/4.06 |-Branch one:
% 15.35/4.06 | (433) all_0_137_137 = e23
% 15.35/4.06 |
% 15.35/4.06 | Combining equations (433,734) yields a new equation:
% 15.35/4.06 | (2117) e23 = e22
% 15.35/4.06 |
% 15.35/4.06 | Simplifying 2117 yields:
% 15.35/4.06 | (2118) e23 = e22
% 15.35/4.06 |
% 15.35/4.06 | Equations (2118) can reduce 22 to:
% 15.35/4.06 | (422) $false
% 15.35/4.06 |
% 15.35/4.06 |-The branch is then unsatisfiable
% 15.35/4.06 |-Branch two:
% 15.35/4.06 | (408) ~ (all_0_137_137 = e23)
% 15.35/4.06 | (407) all_0_140_140 = e23
% 15.35/4.06 |
% 15.35/4.06 | Combining equations (726,407) yields a new equation:
% 15.35/4.06 | (441) e23 = e21
% 15.35/4.06 |
% 15.35/4.06 | Equations (441) can reduce 264 to:
% 15.35/4.06 | (422) $false
% 15.35/4.06 |
% 15.35/4.06 |-The branch is then unsatisfiable
% 15.35/4.06 |-Branch two:
% 15.35/4.06 | (2084) ~ (all_0_135_135 = e23)
% 15.35/4.06 | (424) all_0_135_135 = e20
% 15.35/4.06 |
% 15.35/4.06 | Equations (424) can reduce 74 to:
% 15.35/4.06 | (423) ~ (all_0_131_131 = e20)
% 15.35/4.06 |
% 15.35/4.06 | Equations (424) can reduce 34 to:
% 15.35/4.06 | (2614) ~ (all_0_136_136 = e20)
% 15.35/4.06 |
% 15.35/4.06 | Simplifying 2614 yields:
% 15.35/4.06 | (763) ~ (all_0_136_136 = e20)
% 15.35/4.06 |
% 15.35/4.06 | Equations (424) can reduce 370 to:
% 15.35/4.06 | (849) ~ (all_0_138_138 = e20)
% 15.35/4.06 |
% 15.35/4.06 | Simplifying 849 yields:
% 15.35/4.06 | (830) ~ (all_0_138_138 = e20)
% 15.35/4.06 |
% 15.35/4.06 | Equations (424) can reduce 2084 to:
% 15.35/4.06 | (764) ~ (e23 = e20)
% 15.35/4.06 |
% 15.35/4.06 | Simplifying 764 yields:
% 15.35/4.06 | (249) ~ (e23 = e20)
% 15.35/4.06 |
% 15.35/4.06 | Equations (424) can reduce 31 to:
% 15.35/4.06 | (2096) ~ (e21 = e20)
% 15.35/4.06 |
% 15.35/4.06 | Simplifying 2096 yields:
% 15.35/4.06 | (319) ~ (e21 = e20)
% 15.35/4.06 |
% 15.35/4.06 | From (424)(424) and (210) follows:
% 15.35/4.06 | (425) op2(e20, e20) = all_0_109_109
% 15.35/4.06 |
% 15.35/4.06 +-Applying beta-rule and splitting (311), into two cases.
% 15.35/4.06 |-Branch one:
% 15.35/4.06 | (415) all_0_131_131 = e23
% 15.35/4.06 |
% 15.35/4.06 | Equations (415) can reduce 250 to:
% 15.35/4.06 | (22) ~ (e23 = e22)
% 15.35/4.06 |
% 15.35/4.06 | Equations (415) can reduce 423 to:
% 15.35/4.06 | (249) ~ (e23 = e20)
% 15.35/4.06 |
% 15.35/4.06 | From (415)(415) and (340) follows:
% 15.35/4.06 | (419) op2(e23, e23) = all_0_105_105
% 15.35/4.06 |
% 15.35/4.06 +-Applying beta-rule and splitting (384), into two cases.
% 15.35/4.06 |-Branch one:
% 15.35/4.06 | (458) all_0_135_135 = e23
% 15.35/4.06 |
% 15.35/4.06 | Combining equations (458,424) yields a new equation:
% 15.35/4.06 | (2191) e23 = e20
% 15.35/4.06 |
% 15.35/4.06 | Simplifying 2191 yields:
% 15.35/4.06 | (421) e23 = e20
% 15.35/4.06 |
% 15.35/4.06 | Equations (421) can reduce 249 to:
% 15.35/4.06 | (422) $false
% 15.35/4.06 |
% 15.35/4.06 |-The branch is then unsatisfiable
% 15.35/4.06 |-Branch two:
% 15.35/4.06 | (2084) ~ (all_0_135_135 = e23)
% 15.35/4.06 | (2107) all_0_136_136 = e23 | all_0_137_137 = e23 | all_0_138_138 = e23
% 15.35/4.06 |
% 15.35/4.06 | Equations (424) can reduce 2084 to:
% 15.35/4.06 | (764) ~ (e23 = e20)
% 15.35/4.06 |
% 15.35/4.06 | Simplifying 764 yields:
% 15.35/4.06 | (249) ~ (e23 = e20)
% 15.35/4.06 |
% 15.35/4.06 +-Applying beta-rule and splitting (365), into two cases.
% 15.35/4.06 |-Branch one:
% 15.35/4.06 | (2635) all_0_132_132 = e20
% 15.35/4.06 |
% 15.35/4.06 | Equations (2635) can reduce 168 to:
% 15.35/4.06 | (470) ~ (all_0_134_134 = e20)
% 15.35/4.06 |
% 15.35/4.06 | Simplifying 470 yields:
% 15.35/4.06 | (471) ~ (all_0_134_134 = e20)
% 15.35/4.06 |
% 15.35/4.06 | Equations (2635) can reduce 82 to:
% 15.35/4.06 | (2614) ~ (all_0_136_136 = e20)
% 15.35/4.06 |
% 15.35/4.06 | Simplifying 2614 yields:
% 15.35/4.06 | (763) ~ (all_0_136_136 = e20)
% 15.35/4.06 |
% 15.35/4.06 | From (2635)(2635) and (43) follows:
% 15.35/4.06 | (2640) op2(e20, e20) = all_0_106_106
% 15.35/4.06 |
% 15.35/4.06 +-Applying beta-rule and splitting (2107), into two cases.
% 15.35/4.06 |-Branch one:
% 15.35/4.06 | (2122) all_0_136_136 = e23
% 15.35/4.06 |
% 15.35/4.06 | Equations (2122) can reduce 2024 to:
% 15.35/4.06 | (422) $false
% 15.35/4.06 |
% 15.35/4.06 |-The branch is then unsatisfiable
% 15.35/4.06 |-Branch two:
% 15.35/4.06 | (2024) ~ (all_0_136_136 = e23)
% 15.35/4.06 | (2125) all_0_137_137 = e23 | all_0_138_138 = e23
% 15.35/4.06 |
% 15.35/4.06 +-Applying beta-rule and splitting (2125), into two cases.
% 15.35/4.06 |-Branch one:
% 15.35/4.06 | (433) all_0_137_137 = e23
% 15.35/4.06 |
% 15.35/4.06 | Combining equations (433,2018) yields a new equation:
% 15.35/4.06 | (2646) all_0_114_114 = e23
% 15.35/4.06 |
% 15.35/4.06 | Equations (433) can reduce 214 to:
% 15.35/4.06 | (507) ~ (all_0_133_133 = e23)
% 15.35/4.06 |
% 15.35/4.06 | Equations (433) can reduce 733 to:
% 15.35/4.06 | (264) ~ (e23 = e21)
% 15.35/4.06 |
% 15.35/4.06 | From (433)(433) and (143) follows:
% 15.35/4.06 | (2649) op2(e23, e23) = all_0_111_111
% 15.35/4.06 |
% 15.35/4.06 | From (433) and (281) follows:
% 15.35/4.06 | (2650) op2(e21, e21) = e23
% 15.35/4.06 |
% 15.35/4.06 +-Applying beta-rule and splitting (243), into two cases.
% 15.35/4.06 |-Branch one:
% 15.35/4.06 | (681) all_0_133_133 = e22
% 15.35/4.06 |
% 15.35/4.06 | Equations (681) can reduce 201 to:
% 15.35/4.06 | (2044) ~ (all_0_134_134 = e22)
% 15.35/4.06 |
% 15.35/4.06 | Simplifying 2044 yields:
% 15.35/4.06 | (1158) ~ (all_0_134_134 = e22)
% 15.35/4.06 |
% 15.35/4.06 | Equations (681) can reduce 507 to:
% 15.35/4.06 | (2113) ~ (e23 = e22)
% 15.35/4.06 |
% 15.35/4.06 | Simplifying 2113 yields:
% 15.35/4.06 | (22) ~ (e23 = e22)
% 15.35/4.06 |
% 15.35/4.06 +-Applying beta-rule and splitting (183), into two cases.
% 15.35/4.06 |-Branch one:
% 15.35/4.06 | (2043) all_0_130_130 = e22
% 15.35/4.06 |
% 15.35/4.06 | Combining equations (516,2043) yields a new equation:
% 15.35/4.06 | (2117) e23 = e22
% 15.35/4.06 |
% 15.35/4.06 | Simplifying 2117 yields:
% 15.35/4.06 | (2118) e23 = e22
% 15.35/4.06 |
% 15.35/4.06 | Equations (2118) can reduce 22 to:
% 15.35/4.06 | (422) $false
% 15.35/4.06 |
% 15.35/4.06 |-The branch is then unsatisfiable
% 15.35/4.06 |-Branch two:
% 15.35/4.06 | (2660) ~ (all_0_130_130 = e22)
% 15.35/4.06 | (2661) all_0_134_134 = e22 | all_0_138_138 = e22
% 15.35/4.06 |
% 15.35/4.06 +-Applying beta-rule and splitting (2661), into two cases.
% 15.35/4.06 |-Branch one:
% 15.35/4.06 | (754) all_0_134_134 = e22
% 15.35/4.06 |
% 15.35/4.06 | Equations (754) can reduce 1158 to:
% 15.35/4.06 | (422) $false
% 15.35/4.06 |
% 15.35/4.06 |-The branch is then unsatisfiable
% 15.35/4.06 |-Branch two:
% 15.35/4.06 | (1158) ~ (all_0_134_134 = e22)
% 15.35/4.06 | (1147) all_0_138_138 = e22
% 15.35/4.06 |
% 15.35/4.06 | Equations (1147) can reduce 357 to:
% 15.35/4.06 | (2294) ~ (all_0_136_136 = e22)
% 15.35/4.06 |
% 15.35/4.06 | Equations (1147) can reduce 830 to:
% 15.35/4.06 | (112) ~ (e22 = e20)
% 15.35/4.06 |
% 15.35/4.06 +-Applying beta-rule and splitting (221), into two cases.
% 15.35/4.06 |-Branch one:
% 15.35/4.06 | (792) all_0_136_136 = e21
% 15.35/4.06 |
% 15.35/4.06 | Equations (792) can reduce 2294 to:
% 15.35/4.06 | (710) ~ (e22 = e21)
% 15.35/4.06 |
% 15.35/4.06 | Simplifying 710 yields:
% 15.35/4.06 | (219) ~ (e22 = e21)
% 15.35/4.06 |
% 15.35/4.06 | Equations (792) can reduce 763 to:
% 15.35/4.06 | (319) ~ (e21 = e20)
% 15.35/4.07 |
% 15.35/4.07 | From (792)(792) and (285) follows:
% 15.35/4.07 | (2306) op2(e21, e21) = all_0_110_110
% 15.35/4.07 |
% 15.35/4.07 +-Applying beta-rule and splitting (211), into two cases.
% 15.35/4.07 |-Branch one:
% 15.35/4.07 | (684) all_0_132_132 = e21
% 15.35/4.07 |
% 15.35/4.07 | Combining equations (684,2635) yields a new equation:
% 15.35/4.07 | (825) e21 = e20
% 15.35/4.07 |
% 15.35/4.07 | Simplifying 825 yields:
% 15.35/4.07 | (798) e21 = e20
% 15.35/4.07 |
% 15.35/4.07 | Equations (798) can reduce 319 to:
% 15.35/4.07 | (422) $false
% 15.35/4.07 |
% 15.35/4.07 |-The branch is then unsatisfiable
% 15.35/4.07 |-Branch two:
% 15.35/4.07 | (688) ~ (all_0_132_132 = e21)
% 15.35/4.07 | (689) all_0_133_133 = e21 | all_0_134_134 = e21
% 15.35/4.07 |
% 15.35/4.07 +-Applying beta-rule and splitting (689), into two cases.
% 15.35/4.07 |-Branch one:
% 15.35/4.07 | (690) all_0_133_133 = e21
% 15.35/4.07 |
% 15.35/4.07 | Combining equations (681,690) yields a new equation:
% 15.35/4.07 | (691) e22 = e21
% 15.35/4.07 |
% 15.35/4.07 | Simplifying 691 yields:
% 15.35/4.07 | (692) e22 = e21
% 15.35/4.07 |
% 15.35/4.07 | Equations (692) can reduce 219 to:
% 15.35/4.07 | (422) $false
% 15.35/4.07 |
% 15.35/4.07 |-The branch is then unsatisfiable
% 15.35/4.07 |-Branch two:
% 15.35/4.07 | (694) ~ (all_0_133_133 = e21)
% 15.35/4.07 | (695) all_0_134_134 = e21
% 15.35/4.07 |
% 15.35/4.07 | Equations (695) can reduce 471 to:
% 15.35/4.07 | (319) ~ (e21 = e20)
% 15.35/4.07 |
% 15.35/4.07 | From (695)(695) and (161) follows:
% 15.35/4.07 | (2288) op2(e21, e21) = all_0_108_108
% 15.35/4.07 |
% 15.35/4.07 | Instantiating formula (328) with e23, e23, all_0_105_105, e21 and discharging atoms op2(e23, e23) = all_0_105_105, op2(e23, e23) = e21, yields:
% 15.35/4.07 | (426) all_0_105_105 = e21
% 15.35/4.07 |
% 15.35/4.07 | Instantiating formula (328) with e23, e23, all_0_111_111, all_0_105_105 and discharging atoms op2(e23, e23) = all_0_105_105, op2(e23, e23) = all_0_111_111, yields:
% 15.35/4.07 | (2688) all_0_105_105 = all_0_111_111
% 15.35/4.07 |
% 15.35/4.07 | Instantiating formula (328) with e21, e21, all_0_110_110, all_0_108_108 and discharging atoms op2(e21, e21) = all_0_108_108, op2(e21, e21) = all_0_110_110, yields:
% 15.35/4.07 | (2312) all_0_108_108 = all_0_110_110
% 15.35/4.07 |
% 15.35/4.07 | Instantiating formula (328) with e21, e21, e23, all_0_108_108 and discharging atoms op2(e21, e21) = all_0_108_108, op2(e21, e21) = e23, yields:
% 15.35/4.07 | (2170) all_0_108_108 = e23
% 15.35/4.07 |
% 15.35/4.07 | Instantiating formula (328) with e20, e20, all_0_106_106, e20 and discharging atoms op2(e20, e20) = all_0_106_106, op2(e20, e20) = e20, yields:
% 15.35/4.07 | (2691) all_0_106_106 = e20
% 15.35/4.07 |
% 15.35/4.07 | Instantiating formula (328) with e20, e20, all_0_109_109, all_0_106_106 and discharging atoms op2(e20, e20) = all_0_106_106, op2(e20, e20) = all_0_109_109, yields:
% 15.35/4.07 | (2692) all_0_106_106 = all_0_109_109
% 15.35/4.07 |
% 15.35/4.07 | Combining equations (426,2688) yields a new equation:
% 15.35/4.07 | (446) all_0_111_111 = e21
% 15.35/4.07 |
% 15.35/4.07 | Combining equations (2691,2692) yields a new equation:
% 15.35/4.07 | (2694) all_0_109_109 = e20
% 15.35/4.07 |
% 15.35/4.07 | Combining equations (2170,2312) yields a new equation:
% 15.35/4.07 | (2695) all_0_110_110 = e23
% 15.35/4.07 |
% 15.35/4.07 | Combining equations (2695,2312) yields a new equation:
% 15.35/4.07 | (2170) all_0_108_108 = e23
% 15.35/4.07 |
% 15.35/4.07 | Combining equations (446,2688) yields a new equation:
% 15.35/4.07 | (426) all_0_105_105 = e21
% 15.35/4.07 |
% 15.35/4.07 +-Applying beta-rule and splitting (179), into two cases.
% 15.35/4.07 |-Branch one:
% 15.35/4.07 | (428) (all_0_103_103 = e22 & all_0_104_104 = e20 & all_0_137_137 = e23 & all_0_141_141 = e21) | (all_0_105_105 = e23 & all_0_106_106 = e22 & all_0_107_107 = e21 & all_0_108_108 = e20) | (all_0_109_109 = e23 & all_0_110_110 = e22 & all_0_111_111 = e21 & all_0_112_112 = e20)
% 15.35/4.07 |
% 15.35/4.07 +-Applying beta-rule and splitting (428), into two cases.
% 15.35/4.07 |-Branch one:
% 15.35/4.07 | (429) (all_0_103_103 = e22 & all_0_104_104 = e20 & all_0_137_137 = e23 & all_0_141_141 = e21) | (all_0_105_105 = e23 & all_0_106_106 = e22 & all_0_107_107 = e21 & all_0_108_108 = e20)
% 15.35/4.07 |
% 15.35/4.07 +-Applying beta-rule and splitting (429), into two cases.
% 15.35/4.07 |-Branch one:
% 15.35/4.07 | (430) all_0_103_103 = e22 & all_0_104_104 = e20 & all_0_137_137 = e23 & all_0_141_141 = e21
% 15.35/4.07 |
% 15.35/4.07 | Applying alpha-rule on (430) yields:
% 15.35/4.07 | (431) all_0_103_103 = e22
% 15.35/4.07 | (432) all_0_104_104 = e20
% 15.35/4.07 | (433) all_0_137_137 = e23
% 15.35/4.07 | (434) all_0_141_141 = e21
% 15.35/4.07 |
% 15.35/4.07 | Combining equations (434,829) yields a new equation:
% 15.35/4.07 | (825) e21 = e20
% 15.35/4.07 |
% 15.35/4.07 | Simplifying 825 yields:
% 15.35/4.07 | (798) e21 = e20
% 15.35/4.07 |
% 15.35/4.07 | Equations (798) can reduce 319 to:
% 15.35/4.07 | (422) $false
% 15.35/4.07 |
% 15.35/4.07 |-The branch is then unsatisfiable
% 15.35/4.07 |-Branch two:
% 15.35/4.07 | (436) all_0_105_105 = e23 & all_0_106_106 = e22 & all_0_107_107 = e21 & all_0_108_108 = e20
% 15.35/4.07 |
% 15.35/4.07 | Applying alpha-rule on (436) yields:
% 15.35/4.07 | (437) all_0_105_105 = e23
% 15.35/4.07 | (438) all_0_106_106 = e22
% 15.35/4.07 | (439) all_0_107_107 = e21
% 15.35/4.07 | (440) all_0_108_108 = e20
% 15.35/4.07 |
% 15.35/4.07 | Combining equations (426,437) yields a new equation:
% 15.35/4.07 | (441) e23 = e21
% 15.35/4.07 |
% 15.35/4.07 | Combining equations (440,2170) yields a new equation:
% 15.35/4.07 | (421) e23 = e20
% 15.35/4.07 |
% 15.35/4.07 | Combining equations (421,441) yields a new equation:
% 15.35/4.07 | (798) e21 = e20
% 15.35/4.07 |
% 15.35/4.07 | Equations (798) can reduce 319 to:
% 15.35/4.07 | (422) $false
% 15.35/4.07 |
% 15.35/4.07 |-The branch is then unsatisfiable
% 15.35/4.07 |-Branch two:
% 15.35/4.07 | (443) all_0_109_109 = e23 & all_0_110_110 = e22 & all_0_111_111 = e21 & all_0_112_112 = e20
% 15.35/4.07 |
% 15.35/4.07 | Applying alpha-rule on (443) yields:
% 15.35/4.07 | (444) all_0_109_109 = e23
% 15.35/4.07 | (445) all_0_110_110 = e22
% 15.35/4.07 | (446) all_0_111_111 = e21
% 15.35/4.07 | (447) all_0_112_112 = e20
% 15.35/4.07 |
% 15.35/4.07 | Combining equations (444,2694) yields a new equation:
% 15.35/4.07 | (2191) e23 = e20
% 15.35/4.07 |
% 15.35/4.07 | Simplifying 2191 yields:
% 15.35/4.07 | (421) e23 = e20
% 15.35/4.07 |
% 15.35/4.07 | Combining equations (445,2695) yields a new equation:
% 15.35/4.07 | (2118) e23 = e22
% 15.35/4.07 |
% 15.35/4.07 | Combining equations (2118,421) yields a new equation:
% 15.35/4.07 | (819) e22 = e20
% 15.35/4.07 |
% 15.35/4.07 | Simplifying 819 yields:
% 15.35/4.07 | (820) e22 = e20
% 15.35/4.07 |
% 15.35/4.07 | Equations (820) can reduce 112 to:
% 15.35/4.07 | (422) $false
% 15.35/4.07 |
% 15.35/4.07 |-The branch is then unsatisfiable
% 15.35/4.07 |-Branch two:
% 15.35/4.07 | (451) all_0_113_113 = e22 & all_0_114_114 = e21 & all_0_115_115 = e20 & all_0_132_132 = e23
% 15.35/4.07 |
% 15.35/4.07 | Applying alpha-rule on (451) yields:
% 15.35/4.07 | (452) all_0_113_113 = e22
% 15.35/4.07 | (413) all_0_114_114 = e21
% 15.35/4.07 | (454) all_0_115_115 = e20
% 15.35/4.07 | (455) all_0_132_132 = e23
% 15.35/4.07 |
% 15.35/4.07 | Combining equations (2646,413) yields a new equation:
% 15.35/4.07 | (685) e23 = e21
% 15.35/4.07 |
% 15.35/4.07 | Simplifying 685 yields:
% 15.35/4.07 | (441) e23 = e21
% 15.35/4.07 |
% 15.35/4.07 | Combining equations (2635,455) yields a new equation:
% 15.35/4.07 | (421) e23 = e20
% 15.35/4.07 |
% 15.35/4.07 | Combining equations (421,441) yields a new equation:
% 15.35/4.07 | (798) e21 = e20
% 15.35/4.07 |
% 15.35/4.07 | Equations (798) can reduce 319 to:
% 15.35/4.07 | (422) $false
% 15.35/4.07 |
% 15.35/4.07 |-The branch is then unsatisfiable
% 15.35/4.07 |-Branch two:
% 15.35/4.07 | (823) ~ (all_0_136_136 = e21)
% 15.35/4.07 | (2739) all_0_137_137 = e21 | all_0_138_138 = e21
% 15.35/4.07 |
% 15.35/4.07 +-Applying beta-rule and splitting (129), into two cases.
% 15.35/4.07 |-Branch one:
% 15.35/4.07 | (684) all_0_132_132 = e21
% 15.35/4.07 |
% 15.35/4.07 | Combining equations (2635,684) yields a new equation:
% 15.35/4.07 | (798) e21 = e20
% 15.35/4.07 |
% 15.35/4.07 | Equations (798) can reduce 319 to:
% 15.35/4.07 | (422) $false
% 15.35/4.07 |
% 15.35/4.07 |-The branch is then unsatisfiable
% 15.35/4.07 |-Branch two:
% 15.35/4.07 | (688) ~ (all_0_132_132 = e21)
% 15.35/4.07 | (779) all_0_136_136 = e21 | all_0_139_139 = e21
% 15.35/4.07 |
% 15.35/4.07 +-Applying beta-rule and splitting (779), into two cases.
% 15.35/4.07 |-Branch one:
% 15.35/4.07 | (792) all_0_136_136 = e21
% 15.35/4.07 |
% 15.35/4.07 | Equations (792) can reduce 823 to:
% 15.35/4.07 | (422) $false
% 15.35/4.07 |
% 15.35/4.07 |-The branch is then unsatisfiable
% 15.35/4.07 |-Branch two:
% 15.35/4.07 | (823) ~ (all_0_136_136 = e21)
% 15.35/4.07 | (709) all_0_139_139 = e21
% 15.35/4.07 |
% 15.35/4.07 | Combining equations (709,839) yields a new equation:
% 15.35/4.07 | (441) e23 = e21
% 15.35/4.07 |
% 15.35/4.07 | Equations (441) can reduce 264 to:
% 15.35/4.07 | (422) $false
% 15.35/4.07 |
% 15.35/4.07 |-The branch is then unsatisfiable
% 15.35/4.07 |-Branch two:
% 15.35/4.07 | (736) ~ (all_0_133_133 = e22)
% 15.35/4.07 | (734) all_0_137_137 = e22
% 15.35/4.07 |
% 15.35/4.07 | Combining equations (433,734) yields a new equation:
% 15.35/4.07 | (2117) e23 = e22
% 15.35/4.07 |
% 15.35/4.07 | Simplifying 2117 yields:
% 15.35/4.07 | (2118) e23 = e22
% 15.35/4.07 |
% 15.35/4.07 | Equations (2118) can reduce 22 to:
% 15.35/4.07 | (422) $false
% 15.35/4.07 |
% 15.35/4.07 |-The branch is then unsatisfiable
% 15.35/4.07 |-Branch two:
% 15.35/4.07 | (408) ~ (all_0_137_137 = e23)
% 15.35/4.07 | (844) all_0_138_138 = e23
% 15.35/4.07 |
% 15.35/4.07 | Equations (844) can reduce 521 to:
% 15.35/4.07 | (422) $false
% 15.35/4.07 |
% 15.35/4.07 |-The branch is then unsatisfiable
% 15.35/4.07 |-Branch two:
% 15.35/4.07 | (2263) ~ (all_0_132_132 = e20)
% 15.35/4.07 | (2760) all_0_136_136 = e20 | all_0_139_139 = e20
% 15.35/4.07 |
% 15.35/4.07 +-Applying beta-rule and splitting (2760), into two cases.
% 15.35/4.07 |-Branch one:
% 15.35/4.07 | (780) all_0_136_136 = e20
% 15.35/4.07 |
% 15.35/4.07 | Equations (780) can reduce 763 to:
% 15.35/4.07 | (422) $false
% 15.35/4.07 |
% 15.35/4.07 |-The branch is then unsatisfiable
% 15.35/4.07 |-Branch two:
% 15.35/4.07 | (763) ~ (all_0_136_136 = e20)
% 15.35/4.08 | (762) all_0_139_139 = e20
% 15.35/4.08 |
% 15.35/4.08 | Combining equations (839,762) yields a new equation:
% 15.35/4.08 | (2191) e23 = e20
% 15.35/4.08 |
% 15.35/4.08 | Simplifying 2191 yields:
% 15.35/4.08 | (421) e23 = e20
% 15.35/4.08 |
% 15.35/4.08 | Equations (421) can reduce 249 to:
% 15.35/4.08 | (422) $false
% 15.35/4.08 |
% 15.35/4.08 |-The branch is then unsatisfiable
% 15.35/4.08 |-Branch two:
% 15.35/4.08 | (457) ~ (all_0_131_131 = e23)
% 15.35/4.08 | (458) all_0_135_135 = e23
% 15.35/4.08 |
% 15.35/4.08 | Combining equations (424,458) yields a new equation:
% 15.35/4.08 | (421) e23 = e20
% 15.35/4.08 |
% 15.35/4.08 | Equations (421) can reduce 249 to:
% 15.35/4.08 | (422) $false
% 15.35/4.08 |
% 15.35/4.08 |-The branch is then unsatisfiable
% 15.35/4.08 |-Branch two:
% 15.35/4.08 | (509) ~ (all_0_139_139 = e23)
% 15.35/4.08 | (2051) all_0_140_140 = e23 | all_0_141_141 = e23
% 15.35/4.08 |
% 15.35/4.08 +-Applying beta-rule and splitting (175), into two cases.
% 15.35/4.08 |-Branch one:
% 15.35/4.08 | (839) all_0_139_139 = e23
% 15.35/4.08 |
% 15.35/4.08 | Equations (839) can reduce 509 to:
% 15.35/4.08 | (422) $false
% 15.35/4.08 |
% 15.35/4.08 |-The branch is then unsatisfiable
% 15.35/4.08 |-Branch two:
% 15.35/4.08 | (509) ~ (all_0_139_139 = e23)
% 15.35/4.08 | (842) all_0_139_139 = e21 | all_0_139_139 = e20
% 15.35/4.08 |
% 15.35/4.08 +-Applying beta-rule and splitting (842), into two cases.
% 15.35/4.08 |-Branch one:
% 15.35/4.08 | (709) all_0_139_139 = e21
% 15.35/4.08 |
% 15.35/4.08 | Equations (709) can reduce 724 to:
% 15.35/4.08 | (422) $false
% 15.35/4.08 |
% 15.35/4.08 |-The branch is then unsatisfiable
% 15.35/4.08 |-Branch two:
% 15.35/4.08 | (724) ~ (all_0_139_139 = e21)
% 15.35/4.08 | (762) all_0_139_139 = e20
% 15.35/4.08 |
% 15.35/4.08 | Equations (762) can reduce 337 to:
% 15.35/4.08 | (785) ~ (all_0_141_141 = e20)
% 15.35/4.08 |
% 15.35/4.08 | Simplifying 785 yields:
% 15.35/4.08 | (786) ~ (all_0_141_141 = e20)
% 15.35/4.08 |
% 15.35/4.08 +-Applying beta-rule and splitting (346), into two cases.
% 15.35/4.08 |-Branch one:
% 15.35/4.08 | (449) all_0_141_141 = e23
% 15.35/4.08 |
% 15.35/4.08 | Equations (449) can reduce 410 to:
% 15.35/4.08 | (422) $false
% 15.35/4.08 |
% 15.35/4.08 |-The branch is then unsatisfiable
% 15.35/4.08 |-Branch two:
% 15.35/4.08 | (410) ~ (all_0_141_141 = e23)
% 15.35/4.08 | (2787) all_0_141_141 = e21 | all_0_141_141 = e20
% 15.35/4.08 |
% 15.35/4.08 +-Applying beta-rule and splitting (2787), into two cases.
% 15.35/4.08 |-Branch one:
% 15.35/4.08 | (434) all_0_141_141 = e21
% 15.35/4.08 |
% 15.35/4.08 | Equations (434) can reduce 697 to:
% 15.35/4.08 | (422) $false
% 15.35/4.08 |
% 15.35/4.08 |-The branch is then unsatisfiable
% 15.35/4.08 |-Branch two:
% 15.35/4.08 | (697) ~ (all_0_141_141 = e21)
% 15.35/4.08 | (829) all_0_141_141 = e20
% 15.35/4.08 |
% 15.35/4.08 | Equations (829) can reduce 786 to:
% 15.35/4.08 | (422) $false
% 15.35/4.08 |
% 15.35/4.08 |-The branch is then unsatisfiable
% 15.75/4.08 % SZS output end Proof for theBenchmark
% 15.75/4.08
% 15.75/4.08 3506ms
%------------------------------------------------------------------------------