TSTP Solution File: ALG120+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG120+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 15:35:13 EDT 2022
% Result : Theorem 6.72s 2.04s
% Output : Proof 14.72s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG120+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n028.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Thu Jun 9 01:19:02 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.58/0.58 ____ _
% 0.58/0.58 ___ / __ \_____(_)___ ________ __________
% 0.58/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.58/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.58/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.58/0.58
% 0.58/0.58 A Theorem Prover for First-Order Logic
% 0.58/0.58 (ePrincess v.1.0)
% 0.58/0.58
% 0.58/0.58 (c) Philipp Rümmer, 2009-2015
% 0.58/0.58 (c) Peter Backeman, 2014-2015
% 0.58/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.58/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.58/0.58 Bug reports to peter@backeman.se
% 0.58/0.58
% 0.58/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.58/0.58
% 0.58/0.58 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.58/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.90/1.16 Prover 0: Preprocessing ...
% 5.13/1.66 Prover 0: Constructing countermodel ...
% 6.72/2.04 Prover 0: proved (1416ms)
% 6.72/2.04
% 6.72/2.04 No countermodel exists, formula is valid
% 6.72/2.04 % SZS status Theorem for theBenchmark
% 6.72/2.05
% 6.72/2.05 Generating proof ... found it (size 1473)
% 13.01/3.51
% 13.01/3.51 % SZS output start Proof for theBenchmark
% 13.01/3.51 Assumed formulas after preprocessing and simplification:
% 13.01/3.51 | (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] : ( ~ (v25 = v24) & ~ (v25 = v22) & ~ (v25 = v18) & ~ (v25 = v14) & ~ (v25 = e21) & ~ (v25 = e20) & ~ (v24 = v21) & ~ (v24 = v17) & ~ (v24 = v13) & ~ (v24 = e21) & ~ (v24 = e20) & ~ (v23 = v22) & ~ (v23 = v21) & ~ (v23 = v20) & ~ (v23 = v16) & ~ (v23 = e23) & ~ (v23 = e21) & ~ (v22 = v21) & ~ (v22 = v18) & ~ (v22 = v14) & ~ (v22 = e23) & ~ (v21 = v17) & ~ (v21 = v13) & ~ (v21 = e23) & ~ (v20 = v19) & ~ (v20 = v18) & ~ (v20 = v17) & ~ (v20 = v16) & ~ (v20 = e21) & ~ (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v15) & ~ (v19 = e23) & ~ (v19 = e20) & ~ (v18 = v17) & ~ (v18 = v14) & ~ (v17 = v13) & ~ (v16 = v15) & ~ (v16 = v14) & ~ (v16 = v13) & ~ (v16 = e21) & ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = e23) & ~ (v15 = e20) & ~ (v14 = v13) & ~ (v12 = v11) & ~ (v12 = v9) & ~ (v12 = v5) & ~ (v12 = v1) & ~ (v12 = e11) & ~ (v12 = e10) & ~ (v11 = v8) & ~ (v11 = v4) & ~ (v11 = v0) & ~ (v11 = e11) & ~ (v11 = e10) & ~ (v10 = v9) & ~ (v10 = v8) & ~ (v10 = v7) & ~ (v10 = v3) & ~ (v10 = e13) & ~ (v10 = e11) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) & ~ (v9 = e13) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v8 = e13) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v7 = e11) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v6 = e13) & ~ (v6 = e10) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v3 = e11) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v2 = e13) & ~ (v2 = e10) & ~ (v1 = v0) & ~ (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(e13, v12) = v38 & op1(e13, v11) = v37 & op1(e13, e13) = e11 & op1(e13, e12) = e10 & op1(e13, e11) = v12 & op1(e13, e10) = v11 & op1(e12, v10) = v36 & op1(e12, v9) = v35 & op1(e12, v8) = v34 & op1(e12, e13) = v10 & op1(e12, e12) = e13 & op1(e12, e11) = v9 & op1(e12, e10) = v8 & op1(e11, v7) = v33 & op1(e11, v6) = v32 & op1(e11, v5) = v31 & op1(e11, v4) = v30 & op1(e11, e13) = v7 & op1(e11, e12) = v6 & op1(e11, e11) = v5 & op1(e11, e10) = v4 & op1(e10, v3) = v29 & op1(e10, v2) = v28 & op1(e10, v1) = v27 & op1(e10, v0) = v26 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10) = v0 & h1(v12) = v80 & h1(v11) = v78 & h1(v10) = v76 & h1(v9) = v74 & h1(v8) = v72 & h1(v7) = v70 & h1(v6) = v68 & h1(v5) = v66 & h1(v4) = v64 & h1(v3) = v62 & h1(v2) = v60 & h1(v1) = v58 & h1(v0) = v56 & h1(e13) = v13 & h1(e12) = e20 & h1(e11) = v53 & h1(e10) = v52 & h2(v12) = v108 & h2(v11) = v106 & h2(v10) = v104 & h2(v9) = v102 & h2(v8) = v100 & h2(v7) = v98 & h2(v6) = v96 & h2(v5) = v94 & h2(v4) = v92 & h2(v3) = v90 & h2(v2) = v88 & h2(v1) = v86 & h2(v0) = v84 & h2(e13) = v18 & h2(e12) = e21 & h2(e11) = v55 & h2(e10) = v54 & h3(v12) = v124 & h3(v11) = v123 & h3(v10) = v122 & h3(v9) = v121 & h3(v8) = v120 & h3(v7) = v119 & h3(v6) = v118 & h3(v5) = v117 & h3(v4) = v116 & h3(v3) = v115 & h3(v2) = v114 & h3(v1) = v113 & h3(v0) = v112 & h3(e13) = e23 & h3(e12) = e22 & h3(e11) = e21 & h3(e10) = e20 & h4(v12) = v148 & h4(v11) = v146 & h4(v10) = v145 & h4(v9) = v143 & h4(v8) = v141 & h4(v7) = v139 & h4(v6) = v137 & h4(v5) = v135 & h4(v4) = v133 & h4(v3) = v131 & h4(v2) = v129 & h4(v1) = v127 & h4(v0) = v125 & h4(e13) = e21 & h4(e12) = e23 & h4(e11) = v18 & h4(e10) = v20 & op2(v55, v55) = v95 & op2(v55, v54) = v93 & op2(v55, v18) = v99 & op2(v55, e21) = v97 & op2(v54, v55) = v87 & op2(v54, v54) = v85 & op2(v54, v18) = v91 & op2(v54, e21) = v89 & op2(v53, v53) = v67 & op2(v53, v52) = v65 & op2(v53, v13) = v71 & op2(v53, e20) = v69 & op2(v52, v53) = v59 & op2(v52, v52) = v57 & op2(v52, v13) = v63 & op2(v52, e20) = v61 & op2(v20, v20) = v126 & op2(v20, v18) = v128 & op2(v20, e23) = v130 & op2(v20, e21) = v132 & op2(v18, v55) = v109 & op2(v18, v54) = v107 & op2(v18, v20) = v134 & op2(v18, v18) = v136 & op2(v18, v18) = v111 & op2(v18, v18) = v55 & op2(v18, e23) = v138 & op2(v18, e21) = v140 & op2(v18, e21) = v110 & op2(v18, e21) = v54 & op2(v13, v53) = v81 & op2(v13, v52) = v79 & op2(v13, v13) = v83 & op2(v13, v13) = v53 & op2(v13, e20) = v82 & op2(v13, e20) = v52 & op2(e23, v25) = v51 & op2(e23, v24) = v50 & op2(e23, v20) = v142 & op2(e23, v18) = v144 & op2(e23, e23) = e21 & op2(e23, e22) = e20 & op2(e23, e21) = v25 & op2(e23, e20) = v24 & op2(e22, v23) = v49 & op2(e22, v22) = v48 & op2(e22, v21) = v47 & op2(e22, e23) = v23 & op2(e22, e22) = e23 & op2(e22, e21) = v22 & op2(e22, e20) = v21 & op2(e21, v55) = v103 & op2(e21, v54) = v101 & op2(e21, v20) = v147 & op2(e21, v20) = v46 & op2(e21, v19) = v45 & op2(e21, v18) = v149 & op2(e21, v18) = v105 & op2(e21, v18) = v44 & op2(e21, v17) = v43 & op2(e21, e23) = v20 & op2(e21, e22) = v19 & op2(e21, e21) = v18 & op2(e21, e20) = v17 & op2(e20, v53) = v75 & op2(e20, v52) = v73 & op2(e20, v16) = v42 & op2(e20, v15) = v41 & op2(e20, v14) = v40 & op2(e20, v13) = v77 & op2(e20, v13) = v39 & op2(e20, e23) = v16 & op2(e20, e22) = v15 & op2(e20, e21) = v14 & op2(e20, e20) = v13 & ! [v150] : ! [v151] : ! [v152] : ! [v153] : (v151 = v150 | ~ (op1(v153, v152) = v151) | ~ (op1(v153, v152) = v150)) & ! [v150] : ! [v151] : ! [v152] : ! [v153] : (v151 = v150 | ~ (op2(v153, v152) = v151) | ~ (op2(v153, v152) = v150)) & ! [v150] : ! [v151] : ! [v152] : (v151 = v150 | ~ (h1(v152) = v151) | ~ (h1(v152) = v150)) & ! [v150] : ! [v151] : ! [v152] : (v151 = v150 | ~ (h2(v152) = v151) | ~ (h2(v152) = v150)) & ! [v150] : ! [v151] : ! [v152] : (v151 = v150 | ~ (h3(v152) = v151) | ~ (h3(v152) = v150)) & ! [v150] : ! [v151] : ! [v152] : (v151 = v150 | ~ (h4(v152) = v151) | ~ (h4(v152) = v150)) & ( ~ (v149 = v148) | ~ (v147 = v146) | ~ (v145 = v25) | ~ (v144 = v143) | ~ (v142 = v141) | ~ (v140 = v139) | ~ (v138 = v137) | ~ (v136 = v135) | ~ (v134 = v133) | ~ (v132 = v131) | ~ (v130 = v129) | ~ (v128 = v127) | ~ (v126 = v125) | ( ~ (v20 = e22) & ~ (v18 = e22)) | ( ~ (v20 = e20) & ~ (v18 = e20))) & ( ~ (v124 = v25) | ~ (v123 = v24) | ~ (v122 = v23) | ~ (v121 = v22) | ~ (v120 = v21) | ~ (v119 = v20) | ~ (v118 = v19) | ~ (v117 = v18) | ~ (v116 = v17) | ~ (v115 = v16) | ~ (v114 = v15) | ~ (v113 = v14) | ~ (v112 = v13)) & ( ~ (v111 = v55) | ~ (v110 = v54) | ~ (v109 = v108) | ~ (v107 = v106) | ~ (v105 = v104) | ~ (v103 = v102) | ~ (v101 = v100) | ~ (v99 = v98) | ~ (v97 = v96) | ~ (v95 = v94) | ~ (v93 = v92) | ~ (v91 = v90) | ~ (v89 = v88) | ~ (v87 = v86) | ~ (v85 = v84) | ( ~ (v55 = e23) & ~ (v54 = e23) & ~ (v18 = e23)) | ( ~ (v55 = e22) & ~ (v54 = e22) & ~ (v18 = e22)) | ( ~ (v55 = e20) & ~ (v54 = e20) & ~ (v18 = e20))) & ( ~ (v83 = v53) | ~ (v82 = v52) | ~ (v81 = v80) | ~ (v79 = v78) | ~ (v77 = v76) | ~ (v75 = v74) | ~ (v73 = v72) | ~ (v71 = v70) | ~ (v69 = v68) | ~ (v67 = v66) | ~ (v65 = v64) | ~ (v63 = v62) | ~ (v61 = v60) | ~ (v59 = v58) | ~ (v57 = v56) | ( ~ (v53 = e23) & ~ (v52 = e23) & ~ (v13 = e23)) | ( ~ (v53 = e22) & ~ (v52 = e22) & ~ (v13 = e22)) | ( ~ (v53 = e21) & ~ (v52 = e21) & ~ (v13 = e21))) & ( ~ (v24 = e23) | v18 = e20 | v13 = e20) & ( ~ (v21 = e22) | v18 = e20 | v13 = e20) & ( ~ (v19 = e21) | v18 = e22 | v13 = e22) & ( ~ (v17 = e21) | v18 = e20 | v13 = e20) & ( ~ (v11 = e13) | v5 = e10 | v0 = e10) & ( ~ (v8 = e12) | v5 = e10 | v0 = e10) & ( ~ (v6 = e11) | v5 = e12 | v0 = e12) & ( ~ (v4 = e11) | v5 = e10 | v0 = e10) & (v25 = e23 | v25 = e22) & (v25 = e23 | v24 = e23) & (v25 = e23 | v18 = e23 | v14 = e23) & (v25 = e22 | v24 = e22) & (v25 = e22 | v22 = e22 | v18 = e22 | v14 = e22) & (v24 = e23 | v24 = e22) & (v24 = e23 | v17 = e23 | v13 = e23) & (v24 = e22 | v21 = e22 | v17 = e22 | v13 = e22) & (v23 = e22 | v23 = e20) & (v23 = e22 | v22 = e22 | v21 = e22) & (v23 = e22 | v20 = e22 | v16 = e22) & (v23 = e20 | v22 = e20 | v21 = e20) & (v23 = e20 | v20 = e20 | v16 = e20) & (v22 = e22 | v22 = e21 | v22 = e20) & (v22 = e21 | v21 = e21) & (v22 = e21 | v18 = e21 | v14 = e21) & (v22 = e20 | v18 = e20 | v14 = e20) & (v21 = e22 | v21 = e21 | v21 = e20) & (v21 = e21 | v17 = e21 | v13 = e21) & (v21 = e20 | v17 = e20 | v13 = e20) & (v20 = e23 | v20 = e22 | v20 = e20) & (v20 = e23 | v18 = e23 | v17 = e23) & (v20 = e23 | v16 = e23) & (v20 = e22 | v19 = e22 | v18 = e22 | v17 = e22) & (v20 = e20 | v18 = e20 | v17 = e20) & (v19 = e22 | v19 = e21) & (v19 = e22 | v15 = e22) & (v19 = e21 | v18 = e21 | v17 = e21) & (v19 = e21 | v15 = e21) & (v18 = e23 | v18 = e22 | v18 = e21 | v18 = e20) & (v17 = e23 | v17 = e22 | v17 = e21 | v17 = e20) & (v16 = e23 | v16 = e22 | v16 = e20) & (v16 = e23 | v14 = e23 | v13 = e23) & (v16 = e22 | v15 = e22 | v14 = e22 | v13 = e22) & (v16 = e20 | v14 = e20 | v13 = e20) & (v15 = e22 | v15 = e21) & (v15 = e21 | v14 = e21 | v13 = e21) & (v14 = e23 | v14 = e22 | v14 = e21 | v14 = e20) & (v13 = e23 | v13 = e22 | v13 = e21 | v13 = e20) & (v12 = e13 | v12 = e12) & (v12 = e13 | v11 = e13) & (v12 = e13 | v5 = e13 | v1 = e13) & (v12 = e12 | v11 = e12) & (v12 = e12 | v9 = e12 | v5 = e12 | v1 = e12) & (v11 = e13 | v11 = e12) & (v11 = e13 | v4 = e13 | v0 = e13) & (v11 = e12 | v8 = e12 | v4 = e12 | v0 = e12) & (v10 = e12 | v10 = e10) & (v10 = e12 | v9 = e12 | v8 = e12) & (v10 = e12 | v7 = e12 | v3 = e12) & (v10 = e10 | v9 = e10 | v8 = e10) & (v10 = e10 | v7 = e10 | v3 = e10) & (v9 = e12 | v9 = e11 | v9 = e10) & (v9 = e11 | v8 = e11) & (v9 = e11 | v5 = e11 | v1 = e11) & (v9 = e10 | v5 = e10 | v1 = e10) & (v8 = e12 | v8 = e11 | v8 = e10) & (v8 = e11 | v4 = e11 | v0 = e11) & (v8 = e10 | v4 = e10 | v0 = e10) & (v7 = e13 | v7 = e12 | v7 = e10) & (v7 = e13 | v5 = e13 | v4 = e13) & (v7 = e13 | v3 = e13) & (v7 = e12 | v6 = e12 | v5 = e12 | v4 = e12) & (v7 = e10 | v5 = e10 | v4 = e10) & (v6 = e12 | v6 = e11) & (v6 = e12 | v2 = e12) & (v6 = e11 | v5 = e11 | v4 = e11) & (v6 = e11 | v2 = e11) & (v5 = e13 | v5 = e12 | v5 = e11 | v5 = e10) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 = e10) & (v3 = e13 | v3 = e12 | v3 = e10) & (v3 = e13 | v1 = e13 | v0 = e13) & (v3 = e12 | v2 = e12 | v1 = e12 | v0 = e12) & (v3 = e10 | v1 = e10 | v0 = e10) & (v2 = e12 | v2 = e11) & (v2 = e11 | v1 = e11 | v0 = e11) & (v1 = e13 | v1 = e12 | v1 = e11 | v1 = e10) & (v0 = e13 | v0 = e12 | v0 = e11 | v0 = e10) & ((v24 = e23 & v16 = e23 & ~ (v51 = e21) & ~ (v50 = e20) & ~ (v25 = e23)) | (v22 = e22 & v19 = e22 & ~ (v49 = e23) & ~ (v48 = e21) & ~ (v47 = e20) & ~ (v23 = e22)) | (v22 = e21 & v19 = e21 & ~ (v46 = e23) & ~ (v45 = e22) & ~ (v44 = e21) & ~ (v43 = e20)) | (v21 = e22 & v15 = e22 & ~ (v49 = e23) & ~ (v48 = e21) & ~ (v47 = e20) & ~ (v23 = e22)) | (v18 = e21 & ~ (v46 = e23) & ~ (v45 = e22) & ~ (v44 = e21) & ~ (v43 = e20)) | (v17 = e21 & v14 = e21 & ~ (v46 = e23) & ~ (v45 = e22) & ~ (v44 = e21) & ~ (v43 = e20)) | ( ~ (v42 = e23) & ~ (v41 = e22) & ~ (v40 = e21) & ~ (v39 = e20) & (v13 = e20 | (v17 = e20 & v14 = e20)))) & ((v11 = e13 & v3 = e13 & ~ (v38 = e11) & ~ (v37 = e10) & ~ (v12 = e13)) | (v9 = e12 & v6 = e12 & ~ (v36 = e13) & ~ (v35 = e11) & ~ (v34 = e10) & ~ (v10 = e12)) | (v9 = e11 & v6 = e11 & ~ (v33 = e13) & ~ (v32 = e12) & ~ (v31 = e11) & ~ (v30 = e10)) | (v8 = e12 & v2 = e12 & ~ (v36 = e13) & ~ (v35 = e11) & ~ (v34 = e10) & ~ (v10 = e12)) | (v5 = e11 & ~ (v33 = e13) & ~ (v32 = e12) & ~ (v31 = e11) & ~ (v30 = e10)) | (v4 = e11 & v1 = e11 & ~ (v33 = e13) & ~ (v32 = e12) & ~ (v31 = e11) & ~ (v30 = e10)) | ( ~ (v29 = e13) & ~ (v28 = e12) & ~ (v27 = e11) & ~ (v26 = e10) & (v0 = e10 | (v4 = e10 & v1 = e10)))))
% 13.41/3.57 | 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 yields:
% 13.41/3.57 | (1) ~ (all_0_124_124 = all_0_125_125) & ~ (all_0_124_124 = all_0_127_127) & ~ (all_0_124_124 = all_0_131_131) & ~ (all_0_124_124 = all_0_135_135) & ~ (all_0_124_124 = e21) & ~ (all_0_124_124 = e20) & ~ (all_0_125_125 = all_0_128_128) & ~ (all_0_125_125 = all_0_132_132) & ~ (all_0_125_125 = all_0_136_136) & ~ (all_0_125_125 = e21) & ~ (all_0_125_125 = e20) & ~ (all_0_126_126 = all_0_127_127) & ~ (all_0_126_126 = all_0_128_128) & ~ (all_0_126_126 = all_0_129_129) & ~ (all_0_126_126 = all_0_133_133) & ~ (all_0_126_126 = e23) & ~ (all_0_126_126 = e21) & ~ (all_0_127_127 = all_0_128_128) & ~ (all_0_127_127 = all_0_131_131) & ~ (all_0_127_127 = all_0_135_135) & ~ (all_0_127_127 = e23) & ~ (all_0_128_128 = all_0_132_132) & ~ (all_0_128_128 = all_0_136_136) & ~ (all_0_128_128 = e23) & ~ (all_0_129_129 = all_0_130_130) & ~ (all_0_129_129 = all_0_131_131) & ~ (all_0_129_129 = all_0_132_132) & ~ (all_0_129_129 = all_0_133_133) & ~ (all_0_129_129 = e21) & ~ (all_0_130_130 = all_0_131_131) & ~ (all_0_130_130 = all_0_132_132) & ~ (all_0_130_130 = all_0_134_134) & ~ (all_0_130_130 = e23) & ~ (all_0_130_130 = e20) & ~ (all_0_131_131 = all_0_132_132) & ~ (all_0_131_131 = all_0_135_135) & ~ (all_0_132_132 = all_0_136_136) & ~ (all_0_133_133 = all_0_134_134) & ~ (all_0_133_133 = all_0_135_135) & ~ (all_0_133_133 = all_0_136_136) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = all_0_135_135) & ~ (all_0_134_134 = all_0_136_136) & ~ (all_0_134_134 = e23) & ~ (all_0_134_134 = e20) & ~ (all_0_135_135 = all_0_136_136) & ~ (all_0_137_137 = all_0_138_138) & ~ (all_0_137_137 = all_0_140_140) & ~ (all_0_137_137 = all_0_144_144) & ~ (all_0_137_137 = all_0_148_148) & ~ (all_0_137_137 = e11) & ~ (all_0_137_137 = e10) & ~ (all_0_138_138 = all_0_141_141) & ~ (all_0_138_138 = all_0_145_145) & ~ (all_0_138_138 = all_0_149_149) & ~ (all_0_138_138 = e11) & ~ (all_0_138_138 = e10) & ~ (all_0_139_139 = all_0_140_140) & ~ (all_0_139_139 = all_0_141_141) & ~ (all_0_139_139 = all_0_142_142) & ~ (all_0_139_139 = all_0_146_146) & ~ (all_0_139_139 = e13) & ~ (all_0_139_139 = e11) & ~ (all_0_140_140 = all_0_141_141) & ~ (all_0_140_140 = all_0_144_144) & ~ (all_0_140_140 = all_0_148_148) & ~ (all_0_140_140 = e13) & ~ (all_0_141_141 = all_0_145_145) & ~ (all_0_141_141 = all_0_149_149) & ~ (all_0_141_141 = e13) & ~ (all_0_142_142 = all_0_143_143) & ~ (all_0_142_142 = all_0_144_144) & ~ (all_0_142_142 = all_0_145_145) & ~ (all_0_142_142 = all_0_146_146) & ~ (all_0_142_142 = e11) & ~ (all_0_143_143 = all_0_144_144) & ~ (all_0_143_143 = all_0_145_145) & ~ (all_0_143_143 = all_0_147_147) & ~ (all_0_143_143 = e13) & ~ (all_0_143_143 = e10) & ~ (all_0_144_144 = all_0_145_145) & ~ (all_0_144_144 = all_0_148_148) & ~ (all_0_145_145 = all_0_149_149) & ~ (all_0_146_146 = all_0_147_147) & ~ (all_0_146_146 = all_0_148_148) & ~ (all_0_146_146 = all_0_149_149) & ~ (all_0_146_146 = e11) & ~ (all_0_147_147 = all_0_148_148) & ~ (all_0_147_147 = all_0_149_149) & ~ (all_0_147_147 = e13) & ~ (all_0_147_147 = e10) & ~ (all_0_148_148 = all_0_149_149) & ~ (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(e13, all_0_137_137) = all_0_111_111 & op1(e13, all_0_138_138) = all_0_112_112 & op1(e13, e13) = e11 & op1(e13, e12) = e10 & op1(e13, e11) = all_0_137_137 & op1(e13, e10) = all_0_138_138 & op1(e12, all_0_139_139) = all_0_113_113 & op1(e12, all_0_140_140) = all_0_114_114 & op1(e12, all_0_141_141) = all_0_115_115 & op1(e12, e13) = all_0_139_139 & op1(e12, e12) = e13 & op1(e12, e11) = all_0_140_140 & op1(e12, e10) = all_0_141_141 & op1(e11, all_0_142_142) = all_0_116_116 & op1(e11, all_0_143_143) = all_0_117_117 & op1(e11, all_0_144_144) = all_0_118_118 & op1(e11, all_0_145_145) = all_0_119_119 & op1(e11, e13) = all_0_142_142 & op1(e11, e12) = all_0_143_143 & op1(e11, e11) = all_0_144_144 & op1(e11, e10) = all_0_145_145 & op1(e10, all_0_146_146) = all_0_120_120 & op1(e10, all_0_147_147) = all_0_121_121 & op1(e10, all_0_148_148) = all_0_122_122 & op1(e10, all_0_149_149) = all_0_123_123 & op1(e10, e13) = all_0_146_146 & op1(e10, e12) = all_0_147_147 & op1(e10, e11) = all_0_148_148 & op1(e10, e10) = all_0_149_149 & h1(all_0_137_137) = all_0_69_69 & h1(all_0_138_138) = all_0_71_71 & h1(all_0_139_139) = all_0_73_73 & h1(all_0_140_140) = all_0_75_75 & h1(all_0_141_141) = all_0_77_77 & h1(all_0_142_142) = all_0_79_79 & h1(all_0_143_143) = all_0_81_81 & h1(all_0_144_144) = all_0_83_83 & h1(all_0_145_145) = all_0_85_85 & h1(all_0_146_146) = all_0_87_87 & h1(all_0_147_147) = all_0_89_89 & h1(all_0_148_148) = all_0_91_91 & h1(all_0_149_149) = all_0_93_93 & h1(e13) = all_0_136_136 & h1(e12) = e20 & h1(e11) = all_0_96_96 & h1(e10) = all_0_97_97 & h2(all_0_137_137) = all_0_41_41 & h2(all_0_138_138) = all_0_43_43 & h2(all_0_139_139) = all_0_45_45 & h2(all_0_140_140) = all_0_47_47 & h2(all_0_141_141) = all_0_49_49 & h2(all_0_142_142) = all_0_51_51 & h2(all_0_143_143) = all_0_53_53 & h2(all_0_144_144) = all_0_55_55 & h2(all_0_145_145) = all_0_57_57 & h2(all_0_146_146) = all_0_59_59 & h2(all_0_147_147) = all_0_61_61 & h2(all_0_148_148) = all_0_63_63 & h2(all_0_149_149) = all_0_65_65 & h2(e13) = all_0_131_131 & h2(e12) = e21 & h2(e11) = all_0_94_94 & h2(e10) = all_0_95_95 & h3(all_0_137_137) = all_0_25_25 & h3(all_0_138_138) = all_0_26_26 & h3(all_0_139_139) = all_0_27_27 & h3(all_0_140_140) = all_0_28_28 & h3(all_0_141_141) = all_0_29_29 & h3(all_0_142_142) = all_0_30_30 & h3(all_0_143_143) = all_0_31_31 & h3(all_0_144_144) = all_0_32_32 & h3(all_0_145_145) = all_0_33_33 & h3(all_0_146_146) = all_0_34_34 & h3(all_0_147_147) = all_0_35_35 & h3(all_0_148_148) = all_0_36_36 & h3(all_0_149_149) = all_0_37_37 & h3(e13) = e23 & h3(e12) = e22 & h3(e11) = e21 & h3(e10) = e20 & h4(all_0_137_137) = all_0_1_1 & h4(all_0_138_138) = all_0_3_3 & h4(all_0_139_139) = all_0_4_4 & h4(all_0_140_140) = all_0_6_6 & h4(all_0_141_141) = all_0_8_8 & h4(all_0_142_142) = all_0_10_10 & h4(all_0_143_143) = all_0_12_12 & h4(all_0_144_144) = all_0_14_14 & h4(all_0_145_145) = all_0_16_16 & h4(all_0_146_146) = all_0_18_18 & h4(all_0_147_147) = all_0_20_20 & h4(all_0_148_148) = all_0_22_22 & h4(all_0_149_149) = all_0_24_24 & h4(e13) = e21 & h4(e12) = e23 & h4(e11) = all_0_131_131 & h4(e10) = all_0_129_129 & op2(all_0_94_94, all_0_94_94) = all_0_54_54 & op2(all_0_94_94, all_0_95_95) = all_0_56_56 & op2(all_0_94_94, all_0_131_131) = all_0_50_50 & op2(all_0_94_94, e21) = all_0_52_52 & op2(all_0_95_95, all_0_94_94) = all_0_62_62 & op2(all_0_95_95, all_0_95_95) = all_0_64_64 & op2(all_0_95_95, all_0_131_131) = all_0_58_58 & op2(all_0_95_95, e21) = all_0_60_60 & op2(all_0_96_96, all_0_96_96) = all_0_82_82 & op2(all_0_96_96, all_0_97_97) = all_0_84_84 & op2(all_0_96_96, all_0_136_136) = all_0_78_78 & op2(all_0_96_96, e20) = all_0_80_80 & op2(all_0_97_97, all_0_96_96) = all_0_90_90 & op2(all_0_97_97, all_0_97_97) = all_0_92_92 & op2(all_0_97_97, all_0_136_136) = all_0_86_86 & op2(all_0_97_97, e20) = all_0_88_88 & op2(all_0_129_129, all_0_129_129) = all_0_23_23 & op2(all_0_129_129, all_0_131_131) = all_0_21_21 & op2(all_0_129_129, e23) = all_0_19_19 & op2(all_0_129_129, e21) = all_0_17_17 & op2(all_0_131_131, all_0_94_94) = all_0_40_40 & op2(all_0_131_131, all_0_95_95) = all_0_42_42 & op2(all_0_131_131, all_0_129_129) = all_0_15_15 & op2(all_0_131_131, all_0_131_131) = all_0_13_13 & op2(all_0_131_131, all_0_131_131) = all_0_38_38 & op2(all_0_131_131, all_0_131_131) = all_0_94_94 & op2(all_0_131_131, e23) = all_0_11_11 & op2(all_0_131_131, e21) = all_0_9_9 & op2(all_0_131_131, e21) = all_0_39_39 & op2(all_0_131_131, e21) = all_0_95_95 & op2(all_0_136_136, all_0_96_96) = all_0_68_68 & op2(all_0_136_136, all_0_97_97) = all_0_70_70 & op2(all_0_136_136, all_0_136_136) = all_0_66_66 & op2(all_0_136_136, all_0_136_136) = all_0_96_96 & op2(all_0_136_136, e20) = all_0_67_67 & op2(all_0_136_136, e20) = all_0_97_97 & op2(e23, all_0_124_124) = all_0_98_98 & op2(e23, all_0_125_125) = all_0_99_99 & op2(e23, all_0_129_129) = all_0_7_7 & op2(e23, all_0_131_131) = all_0_5_5 & op2(e23, e23) = e21 & op2(e23, e22) = e20 & op2(e23, e21) = all_0_124_124 & op2(e23, e20) = all_0_125_125 & op2(e22, all_0_126_126) = all_0_100_100 & op2(e22, all_0_127_127) = all_0_101_101 & op2(e22, all_0_128_128) = all_0_102_102 & op2(e22, e23) = all_0_126_126 & op2(e22, e22) = e23 & op2(e22, e21) = all_0_127_127 & op2(e22, e20) = all_0_128_128 & op2(e21, all_0_94_94) = all_0_46_46 & op2(e21, all_0_95_95) = all_0_48_48 & op2(e21, all_0_129_129) = all_0_2_2 & op2(e21, all_0_129_129) = all_0_103_103 & op2(e21, all_0_130_130) = all_0_104_104 & op2(e21, all_0_131_131) = all_0_0_0 & op2(e21, all_0_131_131) = all_0_44_44 & op2(e21, all_0_131_131) = all_0_105_105 & op2(e21, all_0_132_132) = all_0_106_106 & op2(e21, e23) = all_0_129_129 & op2(e21, e22) = all_0_130_130 & op2(e21, e21) = all_0_131_131 & op2(e21, e20) = all_0_132_132 & op2(e20, all_0_96_96) = all_0_74_74 & op2(e20, all_0_97_97) = all_0_76_76 & op2(e20, all_0_133_133) = all_0_107_107 & op2(e20, all_0_134_134) = all_0_108_108 & op2(e20, all_0_135_135) = all_0_109_109 & op2(e20, all_0_136_136) = all_0_72_72 & op2(e20, all_0_136_136) = all_0_110_110 & op2(e20, e23) = all_0_133_133 & op2(e20, e22) = all_0_134_134 & op2(e20, e21) = all_0_135_135 & op2(e20, e20) = all_0_136_136 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0)) & ( ~ (all_0_0_0 = all_0_1_1) | ~ (all_0_2_2 = all_0_3_3) | ~ (all_0_4_4 = all_0_124_124) | ~ (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_129_129 = e22) & ~ (all_0_131_131 = e22)) | ( ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e20))) & ( ~ (all_0_25_25 = all_0_124_124) | ~ (all_0_26_26 = all_0_125_125) | ~ (all_0_27_27 = all_0_126_126) | ~ (all_0_28_28 = all_0_127_127) | ~ (all_0_29_29 = all_0_128_128) | ~ (all_0_30_30 = all_0_129_129) | ~ (all_0_31_31 = all_0_130_130) | ~ (all_0_32_32 = all_0_131_131) | ~ (all_0_33_33 = all_0_132_132) | ~ (all_0_34_34 = all_0_133_133) | ~ (all_0_35_35 = all_0_134_134) | ~ (all_0_36_36 = all_0_135_135) | ~ (all_0_37_37 = all_0_136_136)) & ( ~ (all_0_38_38 = all_0_94_94) | ~ (all_0_39_39 = all_0_95_95) | ~ (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_94_94 = e23) & ~ (all_0_95_95 = e23) & ~ (all_0_131_131 = e23)) | ( ~ (all_0_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_131_131 = e22)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_131_131 = e20))) & ( ~ (all_0_66_66 = all_0_96_96) | ~ (all_0_67_67 = all_0_97_97) | ~ (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_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_136_136 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_136_136 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_136_136 = e21))) & ( ~ (all_0_125_125 = e23) | all_0_131_131 = e20 | all_0_136_136 = e20) & ( ~ (all_0_128_128 = e22) | all_0_131_131 = e20 | all_0_136_136 = e20) & ( ~ (all_0_130_130 = e21) | all_0_131_131 = e22 | all_0_136_136 = e22) & ( ~ (all_0_132_132 = e21) | all_0_131_131 = e20 | all_0_136_136 = e20) & ( ~ (all_0_138_138 = e13) | all_0_144_144 = e10 | all_0_149_149 = e10) & ( ~ (all_0_141_141 = e12) | all_0_144_144 = e10 | all_0_149_149 = e10) & ( ~ (all_0_143_143 = e11) | all_0_144_144 = e12 | all_0_149_149 = e12) & ( ~ (all_0_145_145 = e11) | all_0_144_144 = e10 | all_0_149_149 = e10) & (all_0_124_124 = e23 | all_0_124_124 = e22) & (all_0_124_124 = e23 | all_0_125_125 = e23) & (all_0_124_124 = e23 | all_0_131_131 = e23 | all_0_135_135 = e23) & (all_0_124_124 = e22 | all_0_125_125 = e22) & (all_0_124_124 = e22 | all_0_127_127 = e22 | all_0_131_131 = e22 | all_0_135_135 = e22) & (all_0_125_125 = e23 | all_0_125_125 = e22) & (all_0_125_125 = e23 | all_0_132_132 = e23 | all_0_136_136 = e23) & (all_0_125_125 = e22 | all_0_128_128 = e22 | all_0_132_132 = e22 | all_0_136_136 = e22) & (all_0_126_126 = e22 | all_0_126_126 = e20) & (all_0_126_126 = e22 | all_0_127_127 = e22 | all_0_128_128 = e22) & (all_0_126_126 = e22 | all_0_129_129 = e22 | all_0_133_133 = e22) & (all_0_126_126 = e20 | all_0_127_127 = e20 | all_0_128_128 = e20) & (all_0_126_126 = e20 | all_0_129_129 = e20 | all_0_133_133 = e20) & (all_0_127_127 = e22 | all_0_127_127 = e21 | all_0_127_127 = e20) & (all_0_127_127 = e21 | all_0_128_128 = e21) & (all_0_127_127 = e21 | all_0_131_131 = e21 | all_0_135_135 = e21) & (all_0_127_127 = e20 | all_0_131_131 = e20 | all_0_135_135 = e20) & (all_0_128_128 = e22 | all_0_128_128 = e21 | all_0_128_128 = e20) & (all_0_128_128 = e21 | all_0_132_132 = e21 | all_0_136_136 = e21) & (all_0_128_128 = e20 | all_0_132_132 = e20 | all_0_136_136 = e20) & (all_0_129_129 = e23 | all_0_129_129 = e22 | all_0_129_129 = e20) & (all_0_129_129 = e23 | all_0_131_131 = e23 | all_0_132_132 = e23) & (all_0_129_129 = e23 | all_0_133_133 = e23) & (all_0_129_129 = e22 | all_0_130_130 = e22 | all_0_131_131 = e22 | all_0_132_132 = e22) & (all_0_129_129 = e20 | all_0_131_131 = e20 | all_0_132_132 = e20) & (all_0_130_130 = e22 | all_0_130_130 = e21) & (all_0_130_130 = e22 | all_0_134_134 = e22) & (all_0_130_130 = e21 | all_0_131_131 = e21 | all_0_132_132 = e21) & (all_0_130_130 = e21 | all_0_134_134 = e21) & (all_0_131_131 = e23 | all_0_131_131 = e22 | all_0_131_131 = e21 | all_0_131_131 = e20) & (all_0_132_132 = e23 | all_0_132_132 = e22 | all_0_132_132 = e21 | all_0_132_132 = e20) & (all_0_133_133 = e23 | all_0_133_133 = e22 | all_0_133_133 = e20) & (all_0_133_133 = e23 | all_0_135_135 = e23 | all_0_136_136 = e23) & (all_0_133_133 = e22 | all_0_134_134 = e22 | all_0_135_135 = e22 | all_0_136_136 = e22) & (all_0_133_133 = e20 | all_0_135_135 = e20 | all_0_136_136 = e20) & (all_0_134_134 = e22 | all_0_134_134 = e21) & (all_0_134_134 = e21 | all_0_135_135 = e21 | all_0_136_136 = e21) & (all_0_135_135 = e23 | all_0_135_135 = e22 | all_0_135_135 = e21 | all_0_135_135 = e20) & (all_0_136_136 = e23 | all_0_136_136 = e22 | all_0_136_136 = e21 | all_0_136_136 = e20) & (all_0_137_137 = e13 | all_0_137_137 = e12) & (all_0_137_137 = e13 | all_0_138_138 = e13) & (all_0_137_137 = e13 | all_0_144_144 = e13 | all_0_148_148 = e13) & (all_0_137_137 = e12 | all_0_138_138 = e12) & (all_0_137_137 = e12 | all_0_140_140 = e12 | all_0_144_144 = e12 | all_0_148_148 = e12) & (all_0_138_138 = e13 | all_0_138_138 = e12) & (all_0_138_138 = e13 | all_0_145_145 = e13 | all_0_149_149 = e13) & (all_0_138_138 = e12 | all_0_141_141 = e12 | all_0_145_145 = e12 | all_0_149_149 = e12) & (all_0_139_139 = e12 | all_0_139_139 = e10) & (all_0_139_139 = e12 | all_0_140_140 = e12 | all_0_141_141 = e12) & (all_0_139_139 = e12 | all_0_142_142 = e12 | all_0_146_146 = e12) & (all_0_139_139 = e10 | all_0_140_140 = e10 | all_0_141_141 = e10) & (all_0_139_139 = e10 | all_0_142_142 = e10 | all_0_146_146 = e10) & (all_0_140_140 = e12 | all_0_140_140 = e11 | all_0_140_140 = e10) & (all_0_140_140 = e11 | all_0_141_141 = e11) & (all_0_140_140 = e11 | all_0_144_144 = e11 | all_0_148_148 = e11) & (all_0_140_140 = e10 | all_0_144_144 = e10 | all_0_148_148 = e10) & (all_0_141_141 = e12 | all_0_141_141 = e11 | all_0_141_141 = e10) & (all_0_141_141 = e11 | all_0_145_145 = e11 | all_0_149_149 = e11) & (all_0_141_141 = e10 | all_0_145_145 = e10 | all_0_149_149 = e10) & (all_0_142_142 = e13 | all_0_142_142 = e12 | all_0_142_142 = e10) & (all_0_142_142 = e13 | all_0_144_144 = e13 | all_0_145_145 = e13) & (all_0_142_142 = e13 | all_0_146_146 = e13) & (all_0_142_142 = e12 | all_0_143_143 = e12 | all_0_144_144 = e12 | all_0_145_145 = e12) & (all_0_142_142 = e10 | all_0_144_144 = e10 | all_0_145_145 = e10) & (all_0_143_143 = e12 | all_0_143_143 = e11) & (all_0_143_143 = e12 | all_0_147_147 = e12) & (all_0_143_143 = e11 | all_0_144_144 = e11 | all_0_145_145 = e11) & (all_0_143_143 = e11 | all_0_147_147 = e11) & (all_0_144_144 = e13 | all_0_144_144 = e12 | all_0_144_144 = e11 | all_0_144_144 = e10) & (all_0_145_145 = e13 | all_0_145_145 = e12 | all_0_145_145 = e11 | all_0_145_145 = e10) & (all_0_146_146 = e13 | all_0_146_146 = e12 | all_0_146_146 = e10) & (all_0_146_146 = e13 | all_0_148_148 = e13 | all_0_149_149 = e13) & (all_0_146_146 = e12 | all_0_147_147 = e12 | all_0_148_148 = e12 | all_0_149_149 = e12) & (all_0_146_146 = e10 | all_0_148_148 = e10 | all_0_149_149 = e10) & (all_0_147_147 = e12 | all_0_147_147 = e11) & (all_0_147_147 = e11 | all_0_148_148 = e11 | all_0_149_149 = e11) & (all_0_148_148 = e13 | all_0_148_148 = e12 | all_0_148_148 = e11 | all_0_148_148 = e10) & (all_0_149_149 = e13 | all_0_149_149 = e12 | all_0_149_149 = e11 | all_0_149_149 = e10) & ((all_0_125_125 = e23 & all_0_133_133 = e23 & ~ (all_0_98_98 = e21) & ~ (all_0_99_99 = e20) & ~ (all_0_124_124 = e23)) | (all_0_127_127 = e22 & all_0_130_130 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)) | (all_0_127_127 = e21 & all_0_130_130 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)) | (all_0_128_128 = e22 & all_0_134_134 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)) | (all_0_131_131 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)) | (all_0_132_132 = e21 & all_0_135_135 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)) | ( ~ (all_0_107_107 = e23) & ~ (all_0_108_108 = e22) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & (all_0_136_136 = e20 | (all_0_132_132 = e20 & all_0_135_135 = e20)))) & ((all_0_138_138 = e13 & all_0_146_146 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_112_112 = e10) & ~ (all_0_137_137 = e13)) | (all_0_140_140 = e12 & all_0_143_143 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)) | (all_0_140_140 = e11 & all_0_143_143 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)) | (all_0_141_141 = e12 & all_0_147_147 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)) | (all_0_144_144 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)) | (all_0_145_145 = e11 & all_0_148_148 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)) | ( ~ (all_0_120_120 = e13) & ~ (all_0_121_121 = e12) & ~ (all_0_122_122 = e11) & ~ (all_0_123_123 = e10) & (all_0_149_149 = e10 | (all_0_145_145 = e10 & all_0_148_148 = e10))))
% 13.41/3.60 |
% 13.41/3.60 | Applying alpha-rule on (1) yields:
% 13.41/3.60 | (2) op1(e12, all_0_139_139) = all_0_113_113
% 13.41/3.60 | (3) h1(all_0_139_139) = all_0_73_73
% 13.41/3.60 | (4) op2(e21, e20) = all_0_132_132
% 13.41/3.60 | (5) all_0_126_126 = e20 | all_0_127_127 = e20 | all_0_128_128 = e20
% 13.41/3.60 | (6) op2(all_0_95_95, all_0_94_94) = all_0_62_62
% 13.41/3.60 | (7) h3(e13) = e23
% 13.41/3.60 | (8) op2(all_0_95_95, e21) = all_0_60_60
% 13.41/3.60 | (9) ~ (all_0_124_124 = all_0_135_135)
% 13.41/3.60 | (10) all_0_126_126 = e22 | all_0_126_126 = e20
% 13.41/3.60 | (11) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0))
% 13.41/3.60 | (12) op2(all_0_97_97, e20) = all_0_88_88
% 13.41/3.60 | (13) op1(e10, all_0_148_148) = all_0_122_122
% 13.41/3.60 | (14) op1(e11, e10) = all_0_145_145
% 13.41/3.60 | (15) ~ (all_0_139_139 = all_0_146_146)
% 13.41/3.60 | (16) op2(e22, e22) = e23
% 13.41/3.60 | (17) all_0_137_137 = e13 | all_0_138_138 = e13
% 13.41/3.60 | (18) op2(e23, e22) = e20
% 13.41/3.60 | (19) ~ (all_0_25_25 = all_0_124_124) | ~ (all_0_26_26 = all_0_125_125) | ~ (all_0_27_27 = all_0_126_126) | ~ (all_0_28_28 = all_0_127_127) | ~ (all_0_29_29 = all_0_128_128) | ~ (all_0_30_30 = all_0_129_129) | ~ (all_0_31_31 = all_0_130_130) | ~ (all_0_32_32 = all_0_131_131) | ~ (all_0_33_33 = all_0_132_132) | ~ (all_0_34_34 = all_0_133_133) | ~ (all_0_35_35 = all_0_134_134) | ~ (all_0_36_36 = all_0_135_135) | ~ (all_0_37_37 = all_0_136_136)
% 13.41/3.60 | (20) all_0_146_146 = e13 | all_0_148_148 = e13 | all_0_149_149 = e13
% 13.41/3.60 | (21) ~ (all_0_126_126 = all_0_129_129)
% 13.41/3.60 | (22) ~ (all_0_133_133 = all_0_134_134)
% 13.41/3.60 | (23) op2(all_0_96_96, all_0_97_97) = all_0_84_84
% 13.41/3.60 | (24) h3(all_0_149_149) = all_0_37_37
% 13.41/3.60 | (25) op2(e20, all_0_97_97) = all_0_76_76
% 13.41/3.60 | (26) op1(e12, e12) = e13
% 13.41/3.60 | (27) op2(e22, e20) = all_0_128_128
% 13.41/3.60 | (28) all_0_140_140 = e11 | all_0_144_144 = e11 | all_0_148_148 = e11
% 13.41/3.60 | (29) op1(e10, e13) = all_0_146_146
% 13.41/3.60 | (30) ~ (all_0_141_141 = all_0_149_149)
% 13.41/3.60 | (31) ~ (all_0_131_131 = all_0_132_132)
% 13.41/3.60 | (32) all_0_138_138 = e13 | all_0_138_138 = e12
% 13.41/3.60 | (33) op1(e11, e11) = all_0_144_144
% 13.41/3.60 | (34) all_0_139_139 = e12 | all_0_140_140 = e12 | all_0_141_141 = e12
% 13.41/3.60 | (35) ~ (all_0_38_38 = all_0_94_94) | ~ (all_0_39_39 = all_0_95_95) | ~ (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_94_94 = e23) & ~ (all_0_95_95 = e23) & ~ (all_0_131_131 = e23)) | ( ~ (all_0_94_94 = e22) & ~ (all_0_95_95 = e22) & ~ (all_0_131_131 = e22)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_131_131 = e20))
% 13.41/3.60 | (36) ~ (all_0_137_137 = all_0_140_140)
% 13.41/3.60 | (37) op2(all_0_131_131, all_0_95_95) = all_0_42_42
% 13.41/3.60 | (38) ~ (e23 = e22)
% 13.41/3.60 | (39) ~ (e21 = e10)
% 13.41/3.60 | (40) h2(e12) = e21
% 13.41/3.60 | (41) h1(e13) = all_0_136_136
% 13.41/3.60 | (42) h3(all_0_145_145) = all_0_33_33
% 13.41/3.60 | (43) all_0_127_127 = e21 | all_0_131_131 = e21 | all_0_135_135 = e21
% 13.41/3.60 | (44) ~ (all_0_126_126 = all_0_133_133)
% 13.41/3.60 | (45) ~ (all_0_147_147 = all_0_148_148)
% 13.41/3.60 | (46) op1(e10, all_0_147_147) = all_0_121_121
% 13.41/3.60 | (47) ~ (all_0_139_139 = all_0_141_141)
% 13.41/3.60 | (48) ~ (e22 = e11)
% 13.41/3.60 | (49) op2(all_0_129_129, e23) = all_0_19_19
% 13.41/3.60 | (50) ~ (all_0_129_129 = all_0_133_133)
% 13.41/3.60 | (51) ~ (all_0_143_143 = e10)
% 13.41/3.60 | (52) all_0_140_140 = e11 | all_0_141_141 = e11
% 13.41/3.60 | (53) all_0_141_141 = e10 | all_0_145_145 = e10 | all_0_149_149 = e10
% 13.41/3.60 | (54) h2(all_0_146_146) = all_0_59_59
% 13.41/3.60 | (55) h2(all_0_138_138) = all_0_43_43
% 13.41/3.60 | (56) h2(all_0_145_145) = all_0_57_57
% 13.41/3.60 | (57) all_0_142_142 = e13 | all_0_144_144 = e13 | all_0_145_145 = e13
% 13.41/3.60 | (58) op2(all_0_94_94, all_0_95_95) = all_0_56_56
% 13.41/3.60 | (59) op2(all_0_136_136, all_0_136_136) = all_0_96_96
% 13.41/3.60 | (60) ~ (all_0_125_125 = all_0_128_128)
% 13.41/3.60 | (61) ~ (all_0_132_132 = e21) | all_0_131_131 = e20 | all_0_136_136 = e20
% 13.41/3.60 | (62) op2(e21, all_0_94_94) = all_0_46_46
% 13.41/3.60 | (63) all_0_140_140 = e10 | all_0_144_144 = e10 | all_0_148_148 = e10
% 13.41/3.61 | (64) op2(all_0_131_131, e21) = all_0_39_39
% 13.41/3.61 | (65) h4(all_0_140_140) = all_0_6_6
% 13.41/3.61 | (66) ~ (all_0_134_134 = e20)
% 13.41/3.61 | (67) all_0_142_142 = e10 | all_0_144_144 = e10 | all_0_145_145 = e10
% 13.41/3.61 | (68) ~ (all_0_143_143 = all_0_145_145)
% 13.41/3.61 | (69) all_0_127_127 = e20 | all_0_131_131 = e20 | all_0_135_135 = e20
% 13.41/3.61 | (70) op2(e21, e23) = all_0_129_129
% 13.41/3.61 | (71) all_0_133_133 = e20 | all_0_135_135 = e20 | all_0_136_136 = e20
% 13.41/3.61 | (72) h4(all_0_148_148) = all_0_22_22
% 13.41/3.61 | (73) op2(e21, all_0_131_131) = all_0_105_105
% 13.41/3.61 | (74) all_0_146_146 = e12 | all_0_147_147 = e12 | all_0_148_148 = e12 | all_0_149_149 = e12
% 13.41/3.61 | (75) h4(all_0_138_138) = all_0_3_3
% 13.41/3.61 | (76) ~ (all_0_130_130 = all_0_131_131)
% 13.41/3.61 | (77) op2(all_0_131_131, all_0_131_131) = all_0_13_13
% 13.41/3.61 | (78) ~ (all_0_145_145 = e11) | all_0_144_144 = e10 | all_0_149_149 = e10
% 13.41/3.61 | (79) all_0_124_124 = e23 | all_0_124_124 = e22
% 13.41/3.61 | (80) all_0_134_134 = e21 | all_0_135_135 = e21 | all_0_136_136 = e21
% 13.41/3.61 | (81) ~ (all_0_130_130 = all_0_134_134)
% 13.41/3.61 | (82) op2(e22, e21) = all_0_127_127
% 13.41/3.61 | (83) all_0_143_143 = e12 | all_0_143_143 = e11
% 13.41/3.61 | (84) op1(e11, all_0_142_142) = all_0_116_116
% 13.41/3.61 | (85) all_0_141_141 = e12 | all_0_141_141 = e11 | all_0_141_141 = e10
% 13.41/3.61 | (86) all_0_129_129 = e23 | all_0_131_131 = e23 | all_0_132_132 = e23
% 13.41/3.61 | (87) ~ (all_0_134_134 = e23)
% 13.41/3.61 | (88) ~ (all_0_66_66 = all_0_96_96) | ~ (all_0_67_67 = all_0_97_97) | ~ (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_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_136_136 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_136_136 = e22)) | ( ~ (all_0_96_96 = e21) & ~ (all_0_97_97 = e21) & ~ (all_0_136_136 = e21))
% 13.41/3.61 | (89) all_0_145_145 = e13 | all_0_145_145 = e12 | all_0_145_145 = e11 | all_0_145_145 = e10
% 13.41/3.61 | (90) all_0_125_125 = e23 | all_0_125_125 = e22
% 13.41/3.61 | (91) h3(e10) = e20
% 13.41/3.61 | (92) h2(all_0_139_139) = all_0_45_45
% 13.41/3.61 | (93) ~ (all_0_143_143 = all_0_147_147)
% 13.41/3.61 | (94) h4(all_0_141_141) = all_0_8_8
% 13.41/3.61 | (95) ~ (all_0_146_146 = e11)
% 13.41/3.61 | (96) ~ (all_0_138_138 = all_0_141_141)
% 13.41/3.61 | (97) op2(all_0_131_131, e21) = all_0_95_95
% 13.41/3.61 | (98) ~ (all_0_129_129 = all_0_132_132)
% 13.41/3.61 | (99) ~ (all_0_142_142 = all_0_145_145)
% 13.41/3.61 | (100) op2(all_0_136_136, all_0_96_96) = all_0_68_68
% 13.41/3.61 | (101) ~ (all_0_128_128 = all_0_136_136)
% 13.41/3.61 | (102) h4(all_0_146_146) = all_0_18_18
% 13.41/3.61 | (103) h3(all_0_146_146) = all_0_34_34
% 13.41/3.61 | (104) op2(e20, all_0_136_136) = all_0_110_110
% 13.41/3.61 | (105) ~ (all_0_148_148 = all_0_149_149)
% 13.41/3.61 | (106) ~ (all_0_127_127 = all_0_135_135)
% 13.41/3.61 | (107) op2(e20, all_0_133_133) = all_0_107_107
% 13.41/3.61 | (108) h1(all_0_137_137) = all_0_69_69
% 13.41/3.61 | (109) (all_0_125_125 = e23 & all_0_133_133 = e23 & ~ (all_0_98_98 = e21) & ~ (all_0_99_99 = e20) & ~ (all_0_124_124 = e23)) | (all_0_127_127 = e22 & all_0_130_130 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)) | (all_0_127_127 = e21 & all_0_130_130 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)) | (all_0_128_128 = e22 & all_0_134_134 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)) | (all_0_131_131 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)) | (all_0_132_132 = e21 & all_0_135_135 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)) | ( ~ (all_0_107_107 = e23) & ~ (all_0_108_108 = e22) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & (all_0_136_136 = e20 | (all_0_132_132 = e20 & all_0_135_135 = e20)))
% 13.41/3.61 | (110) op2(e20, e22) = all_0_134_134
% 13.41/3.61 | (111) all_0_128_128 = e20 | all_0_132_132 = e20 | all_0_136_136 = e20
% 13.41/3.61 | (112) op1(e10, e12) = all_0_147_147
% 13.41/3.61 | (113) all_0_129_129 = e22 | all_0_130_130 = e22 | all_0_131_131 = e22 | all_0_132_132 = e22
% 13.41/3.61 | (114) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 13.41/3.61 | (115) ~ (e23 = e13)
% 13.41/3.61 | (116) op2(all_0_95_95, all_0_131_131) = all_0_58_58
% 13.41/3.61 | (117) h4(all_0_139_139) = all_0_4_4
% 13.41/3.61 | (118) op2(all_0_129_129, all_0_131_131) = all_0_21_21
% 13.41/3.61 | (119) all_0_132_132 = e23 | all_0_132_132 = e22 | all_0_132_132 = e21 | all_0_132_132 = e20
% 13.41/3.61 | (120) (all_0_138_138 = e13 & all_0_146_146 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_112_112 = e10) & ~ (all_0_137_137 = e13)) | (all_0_140_140 = e12 & all_0_143_143 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)) | (all_0_140_140 = e11 & all_0_143_143 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)) | (all_0_141_141 = e12 & all_0_147_147 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)) | (all_0_144_144 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)) | (all_0_145_145 = e11 & all_0_148_148 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)) | ( ~ (all_0_120_120 = e13) & ~ (all_0_121_121 = e12) & ~ (all_0_122_122 = e11) & ~ (all_0_123_123 = e10) & (all_0_149_149 = e10 | (all_0_145_145 = e10 & all_0_148_148 = e10)))
% 13.41/3.61 | (121) ~ (all_0_126_126 = all_0_127_127)
% 13.41/3.61 | (122) ~ (all_0_146_146 = all_0_148_148)
% 13.41/3.61 | (123) ~ (all_0_128_128 = e22) | all_0_131_131 = e20 | all_0_136_136 = e20
% 13.41/3.61 | (124) all_0_127_127 = e22 | all_0_127_127 = e21 | all_0_127_127 = e20
% 13.41/3.61 | (125) ~ (e22 = e20)
% 13.41/3.61 | (126) all_0_144_144 = e13 | all_0_144_144 = e12 | all_0_144_144 = e11 | all_0_144_144 = e10
% 13.41/3.61 | (127) ~ (all_0_131_131 = all_0_135_135)
% 13.41/3.61 | (128) ~ (all_0_124_124 = e21)
% 13.41/3.61 | (129) h4(all_0_149_149) = all_0_24_24
% 13.41/3.61 | (130) all_0_130_130 = e21 | all_0_134_134 = e21
% 13.41/3.61 | (131) op1(e13, e12) = e10
% 13.41/3.61 | (132) op2(all_0_94_94, e21) = all_0_52_52
% 13.41/3.61 | (133) h4(e10) = all_0_129_129
% 13.41/3.61 | (134) all_0_137_137 = e12 | all_0_140_140 = e12 | all_0_144_144 = e12 | all_0_148_148 = e12
% 13.41/3.61 | (135) h2(all_0_148_148) = all_0_63_63
% 13.41/3.61 | (136) all_0_146_146 = e10 | all_0_148_148 = e10 | all_0_149_149 = e10
% 13.41/3.61 | (137) ~ (all_0_126_126 = all_0_128_128)
% 13.41/3.61 | (138) op2(all_0_96_96, all_0_96_96) = all_0_82_82
% 13.41/3.61 | (139) h1(all_0_140_140) = all_0_75_75
% 13.41/3.61 | (140) all_0_137_137 = e13 | all_0_137_137 = e12
% 13.41/3.62 | (141) ~ (all_0_140_140 = all_0_144_144)
% 13.41/3.62 | (142) h1(all_0_146_146) = all_0_87_87
% 13.41/3.62 | (143) op2(e23, all_0_124_124) = all_0_98_98
% 13.41/3.62 | (144) h1(all_0_145_145) = all_0_85_85
% 13.41/3.62 | (145) op2(e20, e21) = all_0_135_135
% 13.41/3.62 | (146) op2(all_0_131_131, all_0_94_94) = all_0_40_40
% 13.41/3.62 | (147) h4(all_0_143_143) = all_0_12_12
% 13.41/3.62 | (148) h4(all_0_147_147) = all_0_20_20
% 13.41/3.62 | (149) ~ (all_0_139_139 = all_0_140_140)
% 13.41/3.62 | (150) ~ (all_0_140_140 = all_0_148_148)
% 13.41/3.62 | (151) h3(all_0_142_142) = all_0_30_30
% 13.41/3.62 | (152) ~ (all_0_130_130 = e23)
% 13.41/3.62 | (153) op1(e12, all_0_140_140) = all_0_114_114
% 13.41/3.62 | (154) op2(all_0_97_97, all_0_97_97) = all_0_92_92
% 13.41/3.62 | (155) op2(e23, e21) = all_0_124_124
% 13.41/3.62 | (156) ~ (all_0_142_142 = all_0_143_143)
% 13.41/3.62 | (157) op1(e10, all_0_146_146) = all_0_120_120
% 13.41/3.62 | (158) op2(e20, e23) = all_0_133_133
% 13.41/3.62 | (159) ~ (all_0_127_127 = all_0_131_131)
% 13.41/3.62 | (160) ~ (all_0_137_137 = e10)
% 13.41/3.62 | (161) op2(all_0_96_96, e20) = all_0_80_80
% 13.41/3.62 | (162) ~ (all_0_128_128 = e23)
% 13.41/3.62 | (163) all_0_126_126 = e20 | all_0_129_129 = e20 | all_0_133_133 = e20
% 13.41/3.62 | (164) op2(all_0_131_131, all_0_131_131) = all_0_94_94
% 13.41/3.62 | (165) ~ (all_0_143_143 = e11) | all_0_144_144 = e12 | all_0_149_149 = e12
% 13.41/3.62 | (166) all_0_129_129 = e23 | all_0_129_129 = e22 | all_0_129_129 = e20
% 13.41/3.62 | (167) op2(e23, all_0_129_129) = all_0_7_7
% 13.41/3.62 | (168) h1(all_0_141_141) = all_0_77_77
% 13.41/3.62 | (169) ~ (e21 = e11)
% 13.41/3.62 | (170) all_0_143_143 = e12 | all_0_147_147 = e12
% 13.41/3.62 | (171) op2(all_0_131_131, e21) = all_0_9_9
% 13.41/3.62 | (172) ~ (e12 = e10)
% 13.41/3.62 | (173) h1(all_0_138_138) = all_0_71_71
% 13.41/3.62 | (174) op2(all_0_129_129, e21) = all_0_17_17
% 13.41/3.62 | (175) h1(all_0_144_144) = all_0_83_83
% 13.41/3.62 | (176) ~ (all_0_124_124 = all_0_125_125)
% 13.41/3.62 | (177) ~ (e20 = e10)
% 13.41/3.62 | (178) h3(all_0_147_147) = all_0_35_35
% 13.41/3.62 | (179) op1(e10, e11) = all_0_148_148
% 13.41/3.62 | (180) op1(e10, e10) = all_0_149_149
% 13.41/3.62 | (181) ~ (all_0_126_126 = e21)
% 13.41/3.62 | (182) h4(e11) = all_0_131_131
% 13.41/3.62 | (183) ~ (all_0_147_147 = all_0_149_149)
% 13.41/3.62 | (184) all_0_141_141 = e11 | all_0_145_145 = e11 | all_0_149_149 = e11
% 13.41/3.62 | (185) ~ (all_0_125_125 = e23) | all_0_131_131 = e20 | all_0_136_136 = e20
% 13.41/3.62 | (186) all_0_124_124 = e22 | all_0_127_127 = e22 | all_0_131_131 = e22 | all_0_135_135 = e22
% 13.41/3.62 | (187) all_0_136_136 = e23 | all_0_136_136 = e22 | all_0_136_136 = e21 | all_0_136_136 = e20
% 13.41/3.62 | (188) op2(all_0_97_97, all_0_136_136) = all_0_86_86
% 13.41/3.62 | (189) op2(e22, all_0_128_128) = all_0_102_102
% 13.41/3.62 | (190) ~ (all_0_134_134 = all_0_136_136)
% 13.41/3.62 | (191) ~ (all_0_130_130 = e21) | all_0_131_131 = e22 | all_0_136_136 = e22
% 13.41/3.62 | (192) ~ (all_0_137_137 = all_0_148_148)
% 13.41/3.62 | (193) h2(e11) = all_0_94_94
% 13.41/3.62 | (194) op1(e12, e11) = all_0_140_140
% 13.41/3.62 | (195) all_0_138_138 = e13 | all_0_145_145 = e13 | all_0_149_149 = e13
% 13.41/3.62 | (196) ~ (all_0_144_144 = all_0_148_148)
% 13.41/3.62 | (197) all_0_130_130 = e22 | all_0_134_134 = e22
% 13.41/3.62 | (198) op2(e21, e21) = all_0_131_131
% 13.41/3.62 | (199) h2(all_0_140_140) = all_0_47_47
% 13.41/3.62 | (200) ~ (all_0_125_125 = e20)
% 13.41/3.62 | (201) op2(all_0_96_96, all_0_136_136) = all_0_78_78
% 13.41/3.62 | (202) all_0_149_149 = e13 | all_0_149_149 = e12 | all_0_149_149 = e11 | all_0_149_149 = e10
% 13.41/3.62 | (203) ~ (all_0_137_137 = e11)
% 13.41/3.62 | (204) ~ (all_0_133_133 = e21)
% 13.41/3.62 | (205) op2(all_0_97_97, all_0_96_96) = all_0_90_90
% 13.41/3.62 | (206) ~ (all_0_137_137 = all_0_144_144)
% 13.41/3.62 | (207) ~ (all_0_137_137 = all_0_138_138)
% 13.41/3.62 | (208) ~ (all_0_146_146 = all_0_147_147)
% 13.41/3.62 | (209) ~ (e13 = e10)
% 13.41/3.62 | (210) h4(all_0_144_144) = all_0_14_14
% 13.41/3.62 | (211) ~ (all_0_142_142 = all_0_144_144)
% 13.41/3.62 | (212) h1(all_0_147_147) = all_0_89_89
% 13.41/3.62 | (213) h1(e12) = e20
% 13.41/3.62 | (214) h3(e11) = e21
% 13.41/3.62 | (215) all_0_124_124 = e22 | all_0_125_125 = e22
% 13.41/3.62 | (216) op2(e21, e22) = all_0_130_130
% 13.41/3.62 | (217) ~ (all_0_142_142 = all_0_146_146)
% 13.41/3.62 | (218) h3(all_0_148_148) = all_0_36_36
% 13.41/3.62 | (219) h4(all_0_142_142) = all_0_10_10
% 13.41/3.62 | (220) ~ (all_0_141_141 = all_0_145_145)
% 13.41/3.62 | (221) ~ (all_0_134_134 = all_0_135_135)
% 13.41/3.62 | (222) all_0_124_124 = e23 | all_0_131_131 = e23 | all_0_135_135 = e23
% 13.41/3.62 | (223) ~ (all_0_140_140 = all_0_141_141)
% 13.41/3.62 | (224) all_0_148_148 = e13 | all_0_148_148 = e12 | all_0_148_148 = e11 | all_0_148_148 = e10
% 13.41/3.62 | (225) op2(e22, all_0_126_126) = all_0_100_100
% 13.41/3.62 | (226) op1(e12, e13) = all_0_139_139
% 13.41/3.62 | (227) ~ (e20 = e13)
% 13.41/3.62 | (228) h2(e10) = all_0_95_95
% 13.41/3.62 | (229) h3(e12) = e22
% 13.41/3.62 | (230) h2(all_0_142_142) = all_0_51_51
% 13.41/3.62 | (231) ~ (e20 = e11)
% 13.41/3.62 | (232) all_0_134_134 = e22 | all_0_134_134 = e21
% 13.41/3.62 | (233) op2(e20, all_0_134_134) = all_0_108_108
% 13.41/3.62 | (234) op2(e21, all_0_129_129) = all_0_2_2
% 13.41/3.62 | (235) all_0_146_146 = e13 | all_0_146_146 = e12 | all_0_146_146 = e10
% 13.41/3.62 | (236) op1(e12, all_0_141_141) = all_0_115_115
% 13.41/3.62 | (237) ~ (all_0_138_138 = e13) | all_0_144_144 = e10 | all_0_149_149 = e10
% 13.41/3.62 | (238) ~ (all_0_143_143 = all_0_144_144)
% 13.41/3.62 | (239) ~ (e23 = e10)
% 13.41/3.62 | (240) ~ (all_0_135_135 = all_0_136_136)
% 13.41/3.62 | (241) ~ (all_0_143_143 = e13)
% 13.41/3.62 | (242) all_0_143_143 = e11 | all_0_147_147 = e11
% 13.41/3.62 | (243) all_0_131_131 = e23 | all_0_131_131 = e22 | all_0_131_131 = e21 | all_0_131_131 = e20
% 13.41/3.62 | (244) op2(e20, all_0_136_136) = all_0_72_72
% 13.41/3.62 | (245) op2(e21, all_0_132_132) = all_0_106_106
% 13.41/3.62 | (246) ~ (all_0_138_138 = all_0_149_149)
% 13.41/3.62 | (247) h1(all_0_149_149) = all_0_93_93
% 13.41/3.62 | (248) ~ (all_0_133_133 = all_0_136_136)
% 13.41/3.62 | (249) h1(all_0_142_142) = all_0_79_79
% 13.41/3.62 | (250) op2(e20, all_0_96_96) = all_0_74_74
% 13.41/3.62 | (251) op2(e21, all_0_129_129) = all_0_103_103
% 13.41/3.62 | (252) ~ (all_0_141_141 = e13)
% 13.41/3.62 | (253) ~ (all_0_130_130 = all_0_132_132)
% 13.41/3.62 | (254) all_0_135_135 = e23 | all_0_135_135 = e22 | all_0_135_135 = e21 | all_0_135_135 = e20
% 13.41/3.62 | (255) op1(e11, all_0_144_144) = all_0_118_118
% 13.41/3.62 | (256) op1(e11, all_0_143_143) = all_0_117_117
% 13.41/3.62 | (257) ~ (e22 = e21)
% 13.41/3.62 | (258) all_0_147_147 = e12 | all_0_147_147 = e11
% 13.41/3.62 | (259) ~ (all_0_128_128 = all_0_132_132)
% 13.41/3.62 | (260) ~ (all_0_139_139 = all_0_142_142)
% 13.41/3.62 | (261) ~ (all_0_146_146 = all_0_149_149)
% 13.41/3.63 | (262) h4(e12) = e23
% 13.41/3.63 | (263) op2(e22, all_0_127_127) = all_0_101_101
% 13.41/3.63 | (264) all_0_130_130 = e21 | all_0_131_131 = e21 | all_0_132_132 = e21
% 13.41/3.63 | (265) ~ (all_0_139_139 = e13)
% 13.41/3.63 | (266) op1(e13, all_0_138_138) = all_0_112_112
% 13.41/3.63 | (267) all_0_139_139 = e12 | all_0_142_142 = e12 | all_0_146_146 = e12
% 13.41/3.63 | (268) all_0_128_128 = e22 | all_0_128_128 = e21 | all_0_128_128 = e20
% 13.41/3.63 | (269) op1(e12, e10) = all_0_141_141
% 13.41/3.63 | (270) op2(all_0_136_136, all_0_97_97) = all_0_70_70
% 13.41/3.63 | (271) ~ (all_0_140_140 = e13)
% 13.41/3.63 | (272) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 13.41/3.63 | (273) op2(e20, all_0_135_135) = all_0_109_109
% 13.41/3.63 | (274) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0))
% 13.41/3.63 | (275) ~ (e23 = e12)
% 13.41/3.63 | (276) op1(e13, e10) = all_0_138_138
% 13.41/3.63 | (277) ~ (all_0_125_125 = all_0_136_136)
% 13.41/3.63 | (278) ~ (all_0_0_0 = all_0_1_1) | ~ (all_0_2_2 = all_0_3_3) | ~ (all_0_4_4 = all_0_124_124) | ~ (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_129_129 = e22) & ~ (all_0_131_131 = e22)) | ( ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e20))
% 13.41/3.63 | (279) all_0_126_126 = e22 | all_0_127_127 = e22 | all_0_128_128 = e22
% 13.41/3.63 | (280) ~ (all_0_138_138 = e10)
% 13.41/3.63 | (281) op2(all_0_136_136, e20) = all_0_97_97
% 13.41/3.63 | (282) ~ (all_0_125_125 = all_0_132_132)
% 13.41/3.63 | (283) h2(all_0_143_143) = all_0_53_53
% 13.41/3.63 | (284) all_0_142_142 = e13 | all_0_142_142 = e12 | all_0_142_142 = e10
% 13.41/3.63 | (285) h1(all_0_148_148) = all_0_91_91
% 13.41/3.63 | (286) ~ (e20 = e12)
% 13.41/3.63 | (287) op2(all_0_95_95, all_0_95_95) = all_0_64_64
% 13.41/3.63 | (288) ~ (e23 = e20)
% 13.41/3.63 | (289) ~ (all_0_127_127 = all_0_128_128)
% 13.41/3.63 | (290) h4(all_0_145_145) = all_0_16_16
% 13.41/3.63 | (291) op1(e11, e13) = all_0_142_142
% 13.41/3.63 | (292) ~ (all_0_127_127 = e23)
% 13.41/3.63 | (293) h1(e10) = all_0_97_97
% 13.41/3.63 | (294) ~ (all_0_130_130 = e20)
% 13.41/3.63 | (295) h2(all_0_144_144) = all_0_55_55
% 13.41/3.63 | (296) ~ (e23 = e21)
% 13.41/3.63 | (297) all_0_126_126 = e22 | all_0_129_129 = e22 | all_0_133_133 = e22
% 13.41/3.63 | (298) op2(e20, e20) = all_0_136_136
% 13.41/3.63 | (299) ~ (all_0_145_145 = all_0_149_149)
% 13.41/3.63 | (300) ~ (e22 = e13)
% 13.41/3.63 | (301) op2(all_0_136_136, e20) = all_0_67_67
% 13.41/3.63 | (302) ~ (e22 = e12)
% 13.41/3.63 | (303) all_0_143_143 = e11 | all_0_144_144 = e11 | all_0_145_145 = e11
% 13.41/3.63 | (304) all_0_127_127 = e21 | all_0_128_128 = e21
% 13.41/3.63 | (305) ~ (all_0_138_138 = all_0_145_145)
% 13.41/3.63 | (306) all_0_124_124 = e23 | all_0_125_125 = e23
% 13.41/3.63 | (307) op2(e23, e23) = e21
% 13.41/3.63 | (308) ~ (e13 = e12)
% 13.41/3.63 | (309) h2(all_0_137_137) = all_0_41_41
% 13.41/3.63 | (310) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0))
% 13.41/3.63 | (311) op2(all_0_129_129, all_0_129_129) = all_0_23_23
% 13.41/3.63 | (312) all_0_139_139 = e12 | all_0_139_139 = e10
% 13.41/3.63 | (313) all_0_129_129 = e23 | all_0_133_133 = e23
% 13.41/3.63 | (314) op2(e23, all_0_131_131) = all_0_5_5
% 13.41/3.63 | (315) op2(all_0_131_131, all_0_129_129) = all_0_15_15
% 13.41/3.63 | (316) h3(all_0_141_141) = all_0_29_29
% 13.41/3.63 | (317) ~ (e11 = e10)
% 13.41/3.63 | (318) h2(all_0_141_141) = all_0_49_49
% 13.41/3.63 | (319) all_0_129_129 = e20 | all_0_131_131 = e20 | all_0_132_132 = e20
% 13.41/3.63 | (320) op1(e10, all_0_149_149) = all_0_123_123
% 13.41/3.63 | (321) op2(all_0_94_94, all_0_94_94) = all_0_54_54
% 13.41/3.63 | (322) ~ (all_0_147_147 = e13)
% 13.41/3.63 | (323) op2(all_0_131_131, all_0_131_131) = all_0_38_38
% 13.41/3.63 | (324) op1(e11, e12) = all_0_143_143
% 13.41/3.63 | (325) op2(e21, all_0_131_131) = all_0_0_0
% 13.41/3.63 | (326) h3(all_0_137_137) = all_0_25_25
% 13.41/3.63 | (327) ~ (e23 = e11)
% 13.41/3.63 | (328) ~ (all_0_124_124 = e20)
% 13.41/3.63 | (329) all_0_137_137 = e12 | all_0_138_138 = e12
% 13.41/3.63 | (330) op1(e13, all_0_137_137) = all_0_111_111
% 13.41/3.63 | (331) ~ (all_0_129_129 = all_0_131_131)
% 13.41/3.63 | (332) all_0_139_139 = e10 | all_0_142_142 = e10 | all_0_146_146 = e10
% 13.41/3.63 | (333) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0))
% 13.41/3.63 | (334) ~ (e12 = e11)
% 13.41/3.63 | (335) op2(all_0_131_131, e23) = all_0_11_11
% 13.41/3.63 | (336) op2(e21, all_0_131_131) = all_0_44_44
% 13.41/3.63 | (337) op2(e22, e23) = all_0_126_126
% 13.41/3.63 | (338) ~ (e21 = e12)
% 13.41/3.63 | (339) op1(e11, all_0_145_145) = all_0_119_119
% 13.41/3.63 | (340) h4(all_0_137_137) = all_0_1_1
% 13.41/3.63 | (341) ~ (all_0_124_124 = all_0_131_131)
% 13.41/3.63 | (342) all_0_133_133 = e23 | all_0_135_135 = e23 | all_0_136_136 = e23
% 13.41/3.63 | (343) ~ (all_0_133_133 = all_0_135_135)
% 13.41/3.63 | (344) all_0_125_125 = e23 | all_0_132_132 = e23 | all_0_136_136 = e23
% 13.41/3.63 | (345) all_0_140_140 = e12 | all_0_140_140 = e11 | all_0_140_140 = e10
% 13.41/3.63 | (346) all_0_142_142 = e13 | all_0_146_146 = e13
% 13.41/3.63 | (347) ~ (all_0_129_129 = e21)
% 13.41/3.63 | (348) ~ (e21 = e20)
% 13.41/3.63 | (349) op2(e21, all_0_130_130) = all_0_104_104
% 13.41/3.63 | (350) ~ (all_0_125_125 = e21)
% 13.41/3.63 | (351) op2(e23, e20) = all_0_125_125
% 13.41/3.63 | (352) all_0_133_133 = e23 | all_0_133_133 = e22 | all_0_133_133 = e20
% 13.41/3.63 | (353) ~ (all_0_142_142 = e11)
% 13.41/3.63 | (354) ~ (e21 = e13)
% 13.41/3.63 | (355) op2(e23, all_0_125_125) = all_0_99_99
% 13.41/3.63 | (356) h3(all_0_140_140) = all_0_28_28
% 13.41/3.63 | (357) h3(all_0_138_138) = all_0_26_26
% 13.41/3.63 | (358) ~ (all_0_126_126 = e23)
% 13.41/3.63 | (359) h1(e11) = all_0_96_96
% 13.41/3.63 | (360) ~ (all_0_132_132 = all_0_136_136)
% 13.41/3.63 | (361) all_0_138_138 = e12 | all_0_141_141 = e12 | all_0_145_145 = e12 | all_0_149_149 = e12
% 13.41/3.63 | (362) op2(all_0_94_94, all_0_131_131) = all_0_50_50
% 13.41/3.63 | (363) all_0_130_130 = e22 | all_0_130_130 = e21
% 13.41/3.64 | (364) h2(all_0_149_149) = all_0_65_65
% 13.41/3.64 | (365) op2(e21, all_0_95_95) = all_0_48_48
% 13.41/3.64 | (366) ~ (all_0_124_124 = all_0_127_127)
% 13.41/3.64 | (367) all_0_125_125 = e22 | all_0_128_128 = e22 | all_0_132_132 = e22 | all_0_136_136 = e22
% 13.41/3.64 | (368) all_0_128_128 = e21 | all_0_132_132 = e21 | all_0_136_136 = e21
% 13.41/3.64 | (369) op1(e13, e13) = e11
% 13.41/3.64 | (370) op1(e13, e11) = all_0_137_137
% 13.41/3.64 | (371) ~ (e13 = e11)
% 13.41/3.64 | (372) h3(all_0_144_144) = all_0_32_32
% 13.41/3.64 | (373) all_0_142_142 = e12 | all_0_143_143 = e12 | all_0_144_144 = e12 | all_0_145_145 = e12
% 13.41/3.64 | (374) h2(e13) = all_0_131_131
% 13.41/3.64 | (375) all_0_137_137 = e13 | all_0_144_144 = e13 | all_0_148_148 = e13
% 13.41/3.64 | (376) h3(all_0_143_143) = all_0_31_31
% 13.41/3.64 | (377) ~ (all_0_144_144 = all_0_145_145)
% 13.41/3.64 | (378) ~ (all_0_138_138 = e11)
% 13.41/3.64 | (379) ~ (all_0_147_147 = e10)
% 13.41/3.64 | (380) h1(all_0_143_143) = all_0_81_81
% 13.41/3.64 | (381) all_0_133_133 = e22 | all_0_134_134 = e22 | all_0_135_135 = e22 | all_0_136_136 = e22
% 13.41/3.64 | (382) h4(e13) = e21
% 13.41/3.64 | (383) ~ (all_0_141_141 = e12) | all_0_144_144 = e10 | all_0_149_149 = e10
% 13.41/3.64 | (384) all_0_147_147 = e11 | all_0_148_148 = e11 | all_0_149_149 = e11
% 13.41/3.64 | (385) h3(all_0_139_139) = all_0_27_27
% 13.41/3.64 | (386) op2(all_0_136_136, all_0_136_136) = all_0_66_66
% 13.41/3.64 | (387) ~ (e22 = e10)
% 13.41/3.64 | (388) all_0_139_139 = e10 | all_0_140_140 = e10 | all_0_141_141 = e10
% 13.41/3.64 | (389) ~ (all_0_129_129 = all_0_130_130)
% 13.41/3.64 | (390) h2(all_0_147_147) = all_0_61_61
% 13.41/3.64 | (391) ~ (all_0_139_139 = e11)
% 13.41/3.64 |
% 13.41/3.64 | Instantiating formula (272) with all_0_131_131, all_0_131_131, all_0_38_38, all_0_13_13 and discharging atoms op2(all_0_131_131, all_0_131_131) = all_0_13_13, op2(all_0_131_131, all_0_131_131) = all_0_38_38, yields:
% 13.41/3.64 | (392) all_0_13_13 = all_0_38_38
% 13.41/3.64 |
% 13.41/3.64 | Instantiating formula (272) with all_0_131_131, all_0_131_131, all_0_94_94, all_0_13_13 and discharging atoms op2(all_0_131_131, all_0_131_131) = all_0_13_13, op2(all_0_131_131, all_0_131_131) = all_0_94_94, yields:
% 13.41/3.64 | (393) all_0_13_13 = all_0_94_94
% 13.41/3.64 |
% 13.41/3.64 | Instantiating formula (272) with all_0_131_131, e21, all_0_39_39, all_0_9_9 and discharging atoms op2(all_0_131_131, e21) = all_0_9_9, op2(all_0_131_131, e21) = all_0_39_39, yields:
% 13.41/3.64 | (394) all_0_9_9 = all_0_39_39
% 13.41/3.64 |
% 13.41/3.64 | Instantiating formula (272) with all_0_131_131, e21, all_0_95_95, all_0_9_9 and discharging atoms op2(all_0_131_131, e21) = all_0_9_9, op2(all_0_131_131, e21) = all_0_95_95, yields:
% 13.82/3.64 | (395) all_0_9_9 = all_0_95_95
% 13.82/3.64 |
% 13.82/3.64 | Instantiating formula (272) with all_0_136_136, all_0_136_136, all_0_96_96, all_0_66_66 and discharging atoms op2(all_0_136_136, all_0_136_136) = all_0_66_66, op2(all_0_136_136, all_0_136_136) = all_0_96_96, yields:
% 13.82/3.64 | (396) all_0_66_66 = all_0_96_96
% 13.82/3.64 |
% 13.82/3.64 | Instantiating formula (272) with all_0_136_136, e20, all_0_97_97, all_0_67_67 and discharging atoms op2(all_0_136_136, e20) = all_0_67_67, op2(all_0_136_136, e20) = all_0_97_97, yields:
% 13.82/3.64 | (397) all_0_67_67 = all_0_97_97
% 13.82/3.64 |
% 13.82/3.64 | Instantiating formula (272) with e21, all_0_131_131, all_0_44_44, all_0_0_0 and discharging atoms op2(e21, all_0_131_131) = all_0_0_0, op2(e21, all_0_131_131) = all_0_44_44, yields:
% 13.82/3.64 | (398) all_0_0_0 = all_0_44_44
% 13.82/3.64 |
% 13.82/3.64 | Instantiating formula (272) with e21, all_0_131_131, all_0_105_105, all_0_0_0 and discharging atoms op2(e21, all_0_131_131) = all_0_0_0, op2(e21, all_0_131_131) = all_0_105_105, yields:
% 13.82/3.64 | (399) all_0_0_0 = all_0_105_105
% 13.82/3.64 |
% 13.82/3.64 | Instantiating formula (272) with e20, all_0_136_136, all_0_110_110, all_0_72_72 and discharging atoms op2(e20, all_0_136_136) = all_0_72_72, op2(e20, all_0_136_136) = all_0_110_110, yields:
% 13.82/3.64 | (400) all_0_72_72 = all_0_110_110
% 13.82/3.64 |
% 13.82/3.64 | Combining equations (399,398) yields a new equation:
% 13.82/3.64 | (401) all_0_44_44 = all_0_105_105
% 13.82/3.64 |
% 13.82/3.64 | Combining equations (395,394) yields a new equation:
% 13.82/3.64 | (402) all_0_39_39 = all_0_95_95
% 13.82/3.64 |
% 13.82/3.64 | Combining equations (392,393) yields a new equation:
% 13.82/3.64 | (403) all_0_38_38 = all_0_94_94
% 13.82/3.64 |
% 13.82/3.64 | Simplifying 403 yields:
% 13.82/3.64 | (404) all_0_38_38 = all_0_94_94
% 13.82/3.64 |
% 13.82/3.64 | From (404) and (323) follows:
% 13.82/3.64 | (164) op2(all_0_131_131, all_0_131_131) = all_0_94_94
% 13.82/3.64 |
% 13.82/3.64 | From (402) and (64) follows:
% 13.82/3.64 | (97) op2(all_0_131_131, e21) = all_0_95_95
% 13.82/3.64 |
% 13.82/3.64 | From (396) and (386) follows:
% 13.82/3.64 | (59) op2(all_0_136_136, all_0_136_136) = all_0_96_96
% 13.82/3.64 |
% 13.82/3.64 | From (397) and (301) follows:
% 13.82/3.64 | (281) op2(all_0_136_136, e20) = all_0_97_97
% 13.82/3.64 |
% 13.82/3.64 | From (401) and (336) follows:
% 13.82/3.64 | (73) op2(e21, all_0_131_131) = all_0_105_105
% 13.82/3.64 |
% 13.82/3.64 | From (400) and (244) follows:
% 13.82/3.64 | (104) op2(e20, all_0_136_136) = all_0_110_110
% 13.82/3.64 |
% 13.82/3.64 +-Applying beta-rule and splitting (10), into two cases.
% 13.82/3.64 |-Branch one:
% 13.82/3.64 | (411) all_0_126_126 = e20
% 13.82/3.64 |
% 13.82/3.64 | Equations (411) can reduce 121 to:
% 13.82/3.64 | (412) ~ (all_0_127_127 = e20)
% 13.82/3.64 |
% 13.82/3.64 | Simplifying 412 yields:
% 13.82/3.64 | (413) ~ (all_0_127_127 = e20)
% 13.82/3.64 |
% 13.82/3.64 | Equations (411) can reduce 137 to:
% 13.82/3.64 | (414) ~ (all_0_128_128 = e20)
% 13.82/3.64 |
% 13.82/3.64 | Simplifying 414 yields:
% 13.82/3.64 | (415) ~ (all_0_128_128 = e20)
% 13.82/3.64 |
% 13.82/3.64 | Equations (411) can reduce 21 to:
% 13.82/3.64 | (416) ~ (all_0_129_129 = e20)
% 13.82/3.64 |
% 13.82/3.64 | Simplifying 416 yields:
% 13.82/3.64 | (417) ~ (all_0_129_129 = e20)
% 13.82/3.64 |
% 13.82/3.64 | Equations (411) can reduce 44 to:
% 13.82/3.64 | (418) ~ (all_0_133_133 = e20)
% 13.82/3.64 |
% 13.82/3.64 | Simplifying 418 yields:
% 13.82/3.64 | (419) ~ (all_0_133_133 = e20)
% 13.82/3.64 |
% 13.82/3.64 +-Applying beta-rule and splitting (130), into two cases.
% 13.82/3.64 |-Branch one:
% 13.82/3.64 | (420) all_0_130_130 = e21
% 13.82/3.64 |
% 13.82/3.64 | Equations (420) can reduce 81 to:
% 13.82/3.64 | (421) ~ (all_0_134_134 = e21)
% 13.82/3.64 |
% 13.82/3.64 | Simplifying 421 yields:
% 13.82/3.64 | (422) ~ (all_0_134_134 = e21)
% 13.82/3.64 |
% 13.82/3.64 +-Applying beta-rule and splitting (232), into two cases.
% 13.82/3.64 |-Branch one:
% 13.82/3.64 | (423) all_0_134_134 = e21
% 13.82/3.64 |
% 13.82/3.64 | Equations (423) can reduce 422 to:
% 13.82/3.64 | (424) $false
% 13.82/3.64 |
% 13.82/3.64 |-The branch is then unsatisfiable
% 13.82/3.64 |-Branch two:
% 13.82/3.64 | (422) ~ (all_0_134_134 = e21)
% 13.82/3.65 | (426) all_0_134_134 = e22
% 13.82/3.65 |
% 13.82/3.65 | Equations (426) can reduce 22 to:
% 13.82/3.65 | (427) ~ (all_0_133_133 = e22)
% 13.82/3.65 |
% 13.82/3.65 | Equations (426) can reduce 190 to:
% 13.82/3.65 | (428) ~ (all_0_136_136 = e22)
% 13.82/3.65 |
% 13.82/3.65 | Simplifying 428 yields:
% 13.82/3.65 | (429) ~ (all_0_136_136 = e22)
% 13.82/3.65 |
% 13.82/3.65 | Equations (426) can reduce 66 to:
% 13.82/3.65 | (125) ~ (e22 = e20)
% 13.82/3.65 |
% 13.82/3.65 +-Applying beta-rule and splitting (352), into two cases.
% 13.82/3.65 |-Branch one:
% 13.82/3.65 | (431) all_0_133_133 = e20
% 13.82/3.65 |
% 13.82/3.65 | Equations (431) can reduce 419 to:
% 13.82/3.65 | (424) $false
% 13.82/3.65 |
% 13.82/3.65 |-The branch is then unsatisfiable
% 13.82/3.65 |-Branch two:
% 13.82/3.65 | (419) ~ (all_0_133_133 = e20)
% 13.82/3.65 | (434) all_0_133_133 = e23 | all_0_133_133 = e22
% 13.82/3.65 |
% 13.82/3.65 +-Applying beta-rule and splitting (434), into two cases.
% 13.82/3.65 |-Branch one:
% 13.82/3.65 | (435) all_0_133_133 = e22
% 13.82/3.65 |
% 13.82/3.65 | Equations (435) can reduce 427 to:
% 13.82/3.65 | (424) $false
% 13.82/3.65 |
% 13.82/3.65 |-The branch is then unsatisfiable
% 13.82/3.65 |-Branch two:
% 13.82/3.65 | (427) ~ (all_0_133_133 = e22)
% 13.82/3.65 | (438) all_0_133_133 = e23
% 13.82/3.65 |
% 13.82/3.65 | Equations (438) can reduce 50 to:
% 13.82/3.65 | (439) ~ (all_0_129_129 = e23)
% 13.82/3.65 |
% 13.82/3.65 +-Applying beta-rule and splitting (191), into two cases.
% 13.82/3.65 |-Branch one:
% 13.82/3.65 | (440) ~ (all_0_130_130 = e21)
% 13.82/3.65 |
% 13.82/3.65 | Equations (420) can reduce 440 to:
% 13.82/3.65 | (424) $false
% 13.82/3.65 |
% 13.82/3.65 |-The branch is then unsatisfiable
% 13.82/3.65 |-Branch two:
% 13.82/3.65 | (420) all_0_130_130 = e21
% 13.82/3.65 | (443) all_0_131_131 = e22 | all_0_136_136 = e22
% 13.82/3.65 |
% 13.82/3.65 +-Applying beta-rule and splitting (443), into two cases.
% 13.82/3.65 |-Branch one:
% 13.82/3.65 | (444) all_0_131_131 = e22
% 13.82/3.65 |
% 13.82/3.65 | Equations (444) can reduce 341 to:
% 13.82/3.65 | (445) ~ (all_0_124_124 = e22)
% 13.82/3.65 |
% 13.82/3.65 +-Applying beta-rule and splitting (79), into two cases.
% 13.82/3.65 |-Branch one:
% 13.82/3.65 | (446) all_0_124_124 = e22
% 13.82/3.65 |
% 13.82/3.65 | Equations (446) can reduce 445 to:
% 13.82/3.65 | (424) $false
% 13.82/3.65 |
% 13.82/3.65 |-The branch is then unsatisfiable
% 13.82/3.65 |-Branch two:
% 13.82/3.65 | (445) ~ (all_0_124_124 = e22)
% 13.82/3.65 | (449) all_0_124_124 = e23
% 13.82/3.65 |
% 13.82/3.65 | Equations (449) can reduce 176 to:
% 13.82/3.65 | (450) ~ (all_0_125_125 = e23)
% 13.82/3.65 |
% 13.82/3.65 | Simplifying 450 yields:
% 13.82/3.65 | (451) ~ (all_0_125_125 = e23)
% 13.82/3.65 |
% 13.82/3.65 | Equations (449) can reduce 9 to:
% 13.82/3.65 | (452) ~ (all_0_135_135 = e23)
% 13.82/3.65 |
% 13.82/3.65 | Simplifying 452 yields:
% 13.82/3.65 | (453) ~ (all_0_135_135 = e23)
% 13.82/3.65 |
% 13.82/3.65 +-Applying beta-rule and splitting (319), into two cases.
% 13.82/3.65 |-Branch one:
% 13.82/3.65 | (454) all_0_129_129 = e20
% 13.82/3.65 |
% 13.82/3.65 | Equations (454) can reduce 417 to:
% 13.82/3.65 | (424) $false
% 13.82/3.65 |
% 13.82/3.65 |-The branch is then unsatisfiable
% 13.82/3.65 |-Branch two:
% 13.82/3.65 | (417) ~ (all_0_129_129 = e20)
% 13.82/3.65 | (457) all_0_131_131 = e20 | all_0_132_132 = e20
% 13.82/3.65 |
% 13.82/3.65 +-Applying beta-rule and splitting (457), into two cases.
% 13.82/3.65 |-Branch one:
% 13.82/3.65 | (458) all_0_131_131 = e20
% 13.82/3.65 |
% 13.82/3.65 | Combining equations (458,444) yields a new equation:
% 13.82/3.65 | (459) e22 = e20
% 13.82/3.65 |
% 13.82/3.65 | Equations (459) can reduce 125 to:
% 13.82/3.65 | (424) $false
% 13.82/3.65 |
% 13.82/3.65 |-The branch is then unsatisfiable
% 13.82/3.65 |-Branch two:
% 13.82/3.65 | (461) ~ (all_0_131_131 = e20)
% 13.82/3.65 | (462) all_0_132_132 = e20
% 13.82/3.65 |
% 13.82/3.65 | Equations (462) can reduce 282 to:
% 13.82/3.65 | (200) ~ (all_0_125_125 = e20)
% 13.82/3.65 |
% 13.82/3.65 +-Applying beta-rule and splitting (90), into two cases.
% 13.82/3.65 |-Branch one:
% 13.82/3.65 | (464) all_0_125_125 = e22
% 13.82/3.65 |
% 13.82/3.65 | Equations (464) can reduce 451 to:
% 13.82/3.65 | (465) ~ (e23 = e22)
% 13.82/3.65 |
% 13.82/3.65 | Simplifying 465 yields:
% 13.82/3.65 | (38) ~ (e23 = e22)
% 13.82/3.65 |
% 13.82/3.65 | Equations (464) can reduce 200 to:
% 13.82/3.65 | (125) ~ (e22 = e20)
% 13.82/3.65 |
% 13.82/3.65 +-Applying beta-rule and splitting (69), into two cases.
% 13.82/3.65 |-Branch one:
% 13.82/3.65 | (468) all_0_127_127 = e20
% 13.82/3.65 |
% 13.82/3.65 | Equations (468) can reduce 413 to:
% 13.82/3.65 | (424) $false
% 13.82/3.65 |
% 13.82/3.65 |-The branch is then unsatisfiable
% 13.82/3.65 |-Branch two:
% 13.82/3.65 | (413) ~ (all_0_127_127 = e20)
% 13.82/3.65 | (471) all_0_131_131 = e20 | all_0_135_135 = e20
% 13.82/3.65 |
% 13.82/3.65 +-Applying beta-rule and splitting (471), into two cases.
% 13.82/3.65 |-Branch one:
% 13.82/3.65 | (458) all_0_131_131 = e20
% 13.82/3.65 |
% 13.82/3.65 | Combining equations (458,444) yields a new equation:
% 13.82/3.65 | (459) e22 = e20
% 13.82/3.65 |
% 13.82/3.65 | Equations (459) can reduce 125 to:
% 13.82/3.65 | (424) $false
% 13.82/3.65 |
% 13.82/3.65 |-The branch is then unsatisfiable
% 13.82/3.65 |-Branch two:
% 13.82/3.65 | (461) ~ (all_0_131_131 = e20)
% 13.82/3.65 | (476) all_0_135_135 = e20
% 13.82/3.65 |
% 13.82/3.65 | Equations (476) can reduce 453 to:
% 13.82/3.65 | (477) ~ (e23 = e20)
% 13.82/3.65 |
% 13.82/3.65 | Simplifying 477 yields:
% 13.82/3.65 | (288) ~ (e23 = e20)
% 13.82/3.65 |
% 13.82/3.65 +-Applying beta-rule and splitting (86), into two cases.
% 13.82/3.65 |-Branch one:
% 13.82/3.65 | (479) all_0_129_129 = e23
% 13.82/3.65 |
% 13.82/3.65 | Equations (479) can reduce 439 to:
% 13.82/3.65 | (424) $false
% 13.82/3.65 |
% 13.82/3.65 |-The branch is then unsatisfiable
% 13.82/3.65 |-Branch two:
% 13.82/3.65 | (439) ~ (all_0_129_129 = e23)
% 13.82/3.65 | (482) all_0_131_131 = e23 | all_0_132_132 = e23
% 13.82/3.65 |
% 13.82/3.65 +-Applying beta-rule and splitting (482), into two cases.
% 13.82/3.65 |-Branch one:
% 13.82/3.65 | (483) all_0_131_131 = e23
% 13.82/3.65 |
% 13.82/3.65 | Combining equations (483,444) yields a new equation:
% 13.82/3.65 | (484) e23 = e22
% 13.82/3.65 |
% 13.82/3.65 | Simplifying 484 yields:
% 13.82/3.65 | (485) e23 = e22
% 13.82/3.65 |
% 13.82/3.65 | Equations (485) can reduce 38 to:
% 13.82/3.65 | (424) $false
% 13.82/3.65 |
% 13.82/3.65 |-The branch is then unsatisfiable
% 13.82/3.65 |-Branch two:
% 13.82/3.65 | (487) ~ (all_0_131_131 = e23)
% 13.82/3.65 | (488) all_0_132_132 = e23
% 13.82/3.65 |
% 13.82/3.65 | Combining equations (488,462) yields a new equation:
% 13.82/3.65 | (489) e23 = e20
% 13.82/3.65 |
% 13.82/3.65 | Simplifying 489 yields:
% 13.82/3.65 | (490) e23 = e20
% 13.82/3.65 |
% 13.82/3.65 | Equations (490) can reduce 288 to:
% 13.82/3.65 | (424) $false
% 13.82/3.65 |
% 13.82/3.65 |-The branch is then unsatisfiable
% 13.82/3.65 |-Branch two:
% 13.82/3.65 | (492) ~ (all_0_125_125 = e22)
% 13.82/3.65 | (493) all_0_125_125 = e23
% 13.82/3.65 |
% 13.82/3.65 | Equations (493) can reduce 451 to:
% 13.82/3.65 | (424) $false
% 13.82/3.65 |
% 13.82/3.65 |-The branch is then unsatisfiable
% 13.82/3.65 |-Branch two:
% 13.82/3.65 | (495) ~ (all_0_131_131 = e22)
% 13.82/3.65 | (496) all_0_136_136 = e22
% 13.82/3.65 |
% 13.82/3.65 | Equations (496) can reduce 429 to:
% 13.82/3.65 | (424) $false
% 13.82/3.65 |
% 13.82/3.65 |-The branch is then unsatisfiable
% 13.82/3.65 |-Branch two:
% 13.82/3.65 | (440) ~ (all_0_130_130 = e21)
% 13.82/3.66 | (423) all_0_134_134 = e21
% 13.82/3.66 |
% 13.82/3.66 | Equations (423) can reduce 81 to:
% 13.82/3.66 | (440) ~ (all_0_130_130 = e21)
% 13.82/3.66 |
% 13.82/3.66 | Equations (423) can reduce 221 to:
% 13.82/3.66 | (501) ~ (all_0_135_135 = e21)
% 13.82/3.66 |
% 13.82/3.66 | Simplifying 501 yields:
% 13.82/3.66 | (502) ~ (all_0_135_135 = e21)
% 13.82/3.66 |
% 13.82/3.66 | Equations (423) can reduce 190 to:
% 13.82/3.66 | (503) ~ (all_0_136_136 = e21)
% 13.82/3.66 |
% 13.82/3.66 | Simplifying 503 yields:
% 13.82/3.66 | (504) ~ (all_0_136_136 = e21)
% 13.82/3.66 |
% 13.82/3.66 +-Applying beta-rule and splitting (363), into two cases.
% 13.82/3.66 |-Branch one:
% 13.82/3.66 | (420) all_0_130_130 = e21
% 13.82/3.66 |
% 13.82/3.66 | Equations (420) can reduce 440 to:
% 13.82/3.66 | (424) $false
% 13.82/3.66 |
% 13.82/3.66 |-The branch is then unsatisfiable
% 13.82/3.66 |-Branch two:
% 13.82/3.66 | (440) ~ (all_0_130_130 = e21)
% 13.82/3.66 | (508) all_0_130_130 = e22
% 13.82/3.66 |
% 13.82/3.66 | Equations (508) can reduce 389 to:
% 13.82/3.66 | (509) ~ (all_0_129_129 = e22)
% 13.82/3.66 |
% 13.82/3.66 | Equations (508) can reduce 294 to:
% 13.82/3.66 | (125) ~ (e22 = e20)
% 13.82/3.66 |
% 13.82/3.66 +-Applying beta-rule and splitting (166), into two cases.
% 13.82/3.66 |-Branch one:
% 13.82/3.66 | (454) all_0_129_129 = e20
% 13.82/3.66 |
% 13.82/3.66 | Equations (454) can reduce 417 to:
% 13.82/3.66 | (424) $false
% 13.82/3.66 |
% 13.82/3.66 |-The branch is then unsatisfiable
% 13.82/3.66 |-Branch two:
% 13.82/3.66 | (417) ~ (all_0_129_129 = e20)
% 13.82/3.66 | (514) all_0_129_129 = e23 | all_0_129_129 = e22
% 13.82/3.66 |
% 13.82/3.66 +-Applying beta-rule and splitting (297), into two cases.
% 13.82/3.66 |-Branch one:
% 13.82/3.66 | (515) all_0_126_126 = e22
% 13.82/3.66 |
% 13.82/3.66 | Combining equations (411,515) yields a new equation:
% 13.82/3.66 | (459) e22 = e20
% 13.82/3.66 |
% 13.82/3.66 | Equations (459) can reduce 125 to:
% 13.82/3.66 | (424) $false
% 13.82/3.66 |
% 13.82/3.66 |-The branch is then unsatisfiable
% 13.82/3.66 |-Branch two:
% 13.82/3.66 | (518) ~ (all_0_126_126 = e22)
% 13.82/3.66 | (519) all_0_129_129 = e22 | all_0_133_133 = e22
% 13.82/3.66 |
% 13.82/3.66 +-Applying beta-rule and splitting (514), into two cases.
% 13.82/3.66 |-Branch one:
% 13.82/3.66 | (520) all_0_129_129 = e22
% 13.82/3.66 |
% 13.82/3.66 | Equations (520) can reduce 509 to:
% 13.82/3.66 | (424) $false
% 13.82/3.66 |
% 13.82/3.66 |-The branch is then unsatisfiable
% 13.82/3.66 |-Branch two:
% 13.82/3.66 | (509) ~ (all_0_129_129 = e22)
% 13.82/3.66 | (479) all_0_129_129 = e23
% 13.82/3.66 |
% 13.82/3.66 | Equations (479) can reduce 331 to:
% 13.82/3.66 | (524) ~ (all_0_131_131 = e23)
% 13.82/3.66 |
% 13.82/3.66 | Simplifying 524 yields:
% 13.82/3.66 | (487) ~ (all_0_131_131 = e23)
% 13.82/3.66 |
% 13.82/3.66 | Equations (479) can reduce 50 to:
% 13.82/3.66 | (526) ~ (all_0_133_133 = e23)
% 13.82/3.66 |
% 13.82/3.66 | Simplifying 526 yields:
% 13.82/3.66 | (527) ~ (all_0_133_133 = e23)
% 13.82/3.66 |
% 13.82/3.66 | Equations (479) can reduce 509 to:
% 13.82/3.66 | (38) ~ (e23 = e22)
% 13.82/3.66 |
% 13.82/3.66 +-Applying beta-rule and splitting (519), into two cases.
% 13.82/3.66 |-Branch one:
% 13.82/3.66 | (520) all_0_129_129 = e22
% 13.82/3.66 |
% 13.82/3.66 | Combining equations (520,479) yields a new equation:
% 13.82/3.66 | (485) e23 = e22
% 13.82/3.66 |
% 13.82/3.66 | Equations (485) can reduce 38 to:
% 13.82/3.66 | (424) $false
% 13.82/3.66 |
% 13.82/3.66 |-The branch is then unsatisfiable
% 13.82/3.66 |-Branch two:
% 13.82/3.66 | (509) ~ (all_0_129_129 = e22)
% 13.82/3.66 | (435) all_0_133_133 = e22
% 13.82/3.66 |
% 13.82/3.66 | Equations (435) can reduce 527 to:
% 13.82/3.66 | (465) ~ (e23 = e22)
% 13.82/3.66 |
% 13.82/3.66 | Simplifying 465 yields:
% 13.82/3.66 | (38) ~ (e23 = e22)
% 13.82/3.66 |
% 13.82/3.66 +-Applying beta-rule and splitting (258), into two cases.
% 13.82/3.66 |-Branch one:
% 13.82/3.66 | (536) all_0_147_147 = e12
% 13.82/3.66 |
% 13.82/3.66 | Equations (536) can reduce 93 to:
% 13.82/3.66 | (537) ~ (all_0_143_143 = e12)
% 13.82/3.66 |
% 13.82/3.66 | Equations (536) can reduce 208 to:
% 13.82/3.66 | (538) ~ (all_0_146_146 = e12)
% 13.82/3.66 |
% 13.82/3.66 | Equations (536) can reduce 183 to:
% 13.82/3.66 | (539) ~ (all_0_149_149 = e12)
% 13.82/3.66 |
% 13.82/3.66 | Simplifying 539 yields:
% 13.82/3.66 | (540) ~ (all_0_149_149 = e12)
% 13.82/3.66 |
% 13.82/3.66 | From (536) and (46) follows:
% 13.82/3.66 | (541) op1(e10, e12) = all_0_121_121
% 13.82/3.66 |
% 13.82/3.66 | From (536) and (112) follows:
% 13.82/3.66 | (542) op1(e10, e12) = e12
% 13.82/3.66 |
% 13.82/3.66 +-Applying beta-rule and splitting (83), into two cases.
% 13.82/3.66 |-Branch one:
% 13.82/3.66 | (543) all_0_143_143 = e12
% 13.82/3.66 |
% 13.82/3.66 | Equations (543) can reduce 537 to:
% 13.82/3.66 | (424) $false
% 13.82/3.66 |
% 13.82/3.66 |-The branch is then unsatisfiable
% 13.82/3.66 |-Branch two:
% 13.82/3.66 | (537) ~ (all_0_143_143 = e12)
% 13.82/3.66 | (546) all_0_143_143 = e11
% 13.82/3.66 |
% 13.82/3.66 | Equations (546) can reduce 68 to:
% 13.82/3.66 | (547) ~ (all_0_145_145 = e11)
% 13.82/3.66 |
% 13.82/3.66 | Simplifying 547 yields:
% 13.82/3.66 | (548) ~ (all_0_145_145 = e11)
% 13.82/3.66 |
% 13.82/3.66 | From (546) and (324) follows:
% 13.82/3.66 | (549) op1(e11, e12) = e11
% 13.82/3.66 |
% 13.82/3.66 +-Applying beta-rule and splitting (165), into two cases.
% 13.82/3.66 |-Branch one:
% 13.82/3.66 | (550) ~ (all_0_143_143 = e11)
% 13.82/3.66 |
% 13.82/3.66 | Equations (546) can reduce 550 to:
% 13.82/3.66 | (424) $false
% 13.82/3.66 |
% 13.82/3.66 |-The branch is then unsatisfiable
% 13.82/3.66 |-Branch two:
% 13.82/3.66 | (546) all_0_143_143 = e11
% 13.82/3.66 | (553) all_0_144_144 = e12 | all_0_149_149 = e12
% 13.82/3.66 |
% 13.82/3.66 +-Applying beta-rule and splitting (553), into two cases.
% 13.82/3.66 |-Branch one:
% 13.82/3.66 | (554) all_0_144_144 = e12
% 13.82/3.66 |
% 13.82/3.66 | Equations (554) can reduce 206 to:
% 13.82/3.66 | (555) ~ (all_0_137_137 = e12)
% 13.82/3.66 |
% 13.82/3.66 | Equations (554) can reduce 211 to:
% 13.82/3.66 | (556) ~ (all_0_142_142 = e12)
% 13.82/3.66 |
% 13.82/3.66 | From (554) and (255) follows:
% 13.82/3.66 | (557) op1(e11, e12) = all_0_118_118
% 13.82/3.66 |
% 13.82/3.66 +-Applying beta-rule and splitting (329), into two cases.
% 13.82/3.66 |-Branch one:
% 13.82/3.66 | (558) all_0_137_137 = e12
% 13.82/3.66 |
% 13.82/3.66 | Equations (558) can reduce 555 to:
% 13.82/3.66 | (424) $false
% 13.82/3.66 |
% 13.82/3.66 |-The branch is then unsatisfiable
% 13.82/3.66 |-Branch two:
% 13.82/3.66 | (555) ~ (all_0_137_137 = e12)
% 13.82/3.66 | (561) all_0_138_138 = e12
% 13.82/3.66 |
% 13.82/3.66 | Equations (561) can reduce 207 to:
% 13.82/3.66 | (555) ~ (all_0_137_137 = e12)
% 13.82/3.66 |
% 13.82/3.66 +-Applying beta-rule and splitting (267), into two cases.
% 13.82/3.66 |-Branch one:
% 13.82/3.66 | (563) all_0_139_139 = e12
% 13.82/3.66 |
% 13.82/3.66 | Equations (563) can reduce 47 to:
% 13.82/3.66 | (564) ~ (all_0_141_141 = e12)
% 13.82/3.66 |
% 13.82/3.66 | Simplifying 564 yields:
% 13.82/3.66 | (565) ~ (all_0_141_141 = e12)
% 13.82/3.66 |
% 13.82/3.66 | Equations (563) can reduce 391 to:
% 13.82/3.66 | (334) ~ (e12 = e11)
% 13.82/3.66 |
% 13.82/3.66 +-Applying beta-rule and splitting (140), into two cases.
% 13.82/3.66 |-Branch one:
% 13.82/3.66 | (558) all_0_137_137 = e12
% 13.82/3.66 |
% 13.82/3.66 | Equations (558) can reduce 555 to:
% 13.82/3.66 | (424) $false
% 13.82/3.66 |
% 13.82/3.66 |-The branch is then unsatisfiable
% 13.82/3.66 |-Branch two:
% 13.82/3.66 | (555) ~ (all_0_137_137 = e12)
% 13.82/3.66 | (570) all_0_137_137 = e13
% 13.82/3.66 |
% 13.82/3.66 | Equations (570) can reduce 555 to:
% 13.82/3.66 | (308) ~ (e13 = e12)
% 13.82/3.66 |
% 13.82/3.66 | Instantiating formula (114) with e11, e12, e11, all_0_118_118 and discharging atoms op1(e11, e12) = all_0_118_118, op1(e11, e12) = e11, yields:
% 13.82/3.66 | (572) all_0_118_118 = e11
% 13.82/3.66 |
% 13.82/3.66 | Instantiating formula (114) with e10, e12, e12, all_0_121_121 and discharging atoms op1(e10, e12) = all_0_121_121, op1(e10, e12) = e12, yields:
% 13.82/3.66 | (573) all_0_121_121 = e12
% 13.82/3.66 |
% 13.82/3.66 +-Applying beta-rule and splitting (120), into two cases.
% 13.82/3.66 |-Branch one:
% 13.82/3.66 | (574) (all_0_138_138 = e13 & all_0_146_146 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_112_112 = e10) & ~ (all_0_137_137 = e13)) | (all_0_140_140 = e12 & all_0_143_143 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)) | (all_0_140_140 = e11 & all_0_143_143 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)) | (all_0_141_141 = e12 & all_0_147_147 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)) | (all_0_144_144 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)) | (all_0_145_145 = e11 & all_0_148_148 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10))
% 13.82/3.67 |
% 13.82/3.67 +-Applying beta-rule and splitting (574), into two cases.
% 13.82/3.67 |-Branch one:
% 13.82/3.67 | (575) (all_0_138_138 = e13 & all_0_146_146 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_112_112 = e10) & ~ (all_0_137_137 = e13)) | (all_0_140_140 = e12 & all_0_143_143 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)) | (all_0_140_140 = e11 & all_0_143_143 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)) | (all_0_141_141 = e12 & all_0_147_147 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)) | (all_0_144_144 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10))
% 13.82/3.67 |
% 13.82/3.67 +-Applying beta-rule and splitting (575), into two cases.
% 13.82/3.67 |-Branch one:
% 13.82/3.67 | (576) (all_0_138_138 = e13 & all_0_146_146 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_112_112 = e10) & ~ (all_0_137_137 = e13)) | (all_0_140_140 = e12 & all_0_143_143 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)) | (all_0_140_140 = e11 & all_0_143_143 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)) | (all_0_141_141 = e12 & all_0_147_147 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12))
% 13.82/3.67 |
% 13.82/3.67 +-Applying beta-rule and splitting (576), into two cases.
% 13.82/3.67 |-Branch one:
% 13.82/3.67 | (577) (all_0_138_138 = e13 & all_0_146_146 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_112_112 = e10) & ~ (all_0_137_137 = e13)) | (all_0_140_140 = e12 & all_0_143_143 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)) | (all_0_140_140 = e11 & all_0_143_143 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10))
% 13.82/3.67 |
% 13.82/3.67 +-Applying beta-rule and splitting (577), into two cases.
% 13.82/3.67 |-Branch one:
% 13.82/3.67 | (578) (all_0_138_138 = e13 & all_0_146_146 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_112_112 = e10) & ~ (all_0_137_137 = e13)) | (all_0_140_140 = e12 & all_0_143_143 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12))
% 13.82/3.67 |
% 13.82/3.67 +-Applying beta-rule and splitting (578), into two cases.
% 13.82/3.67 |-Branch one:
% 13.82/3.67 | (579) all_0_138_138 = e13 & all_0_146_146 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_112_112 = e10) & ~ (all_0_137_137 = e13)
% 13.82/3.67 |
% 13.82/3.67 | Applying alpha-rule on (579) yields:
% 13.82/3.67 | (580) ~ (all_0_137_137 = e13)
% 13.82/3.67 | (581) ~ (all_0_112_112 = e10)
% 13.82/3.67 | (582) all_0_138_138 = e13
% 13.82/3.67 | (583) all_0_146_146 = e13
% 13.82/3.67 | (584) ~ (all_0_111_111 = e11)
% 13.82/3.67 |
% 13.82/3.67 | Combining equations (582,561) yields a new equation:
% 13.82/3.67 | (585) e13 = e12
% 13.82/3.67 |
% 13.82/3.67 | Simplifying 585 yields:
% 13.82/3.67 | (586) e13 = e12
% 13.82/3.67 |
% 13.82/3.67 | Equations (586) can reduce 308 to:
% 13.82/3.67 | (424) $false
% 13.82/3.67 |
% 13.82/3.67 |-The branch is then unsatisfiable
% 13.82/3.67 |-Branch two:
% 13.82/3.67 | (588) all_0_140_140 = e12 & all_0_143_143 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)
% 13.82/3.67 |
% 13.82/3.67 | Applying alpha-rule on (588) yields:
% 13.82/3.67 | (543) all_0_143_143 = e12
% 13.82/3.67 | (590) ~ (all_0_113_113 = e13)
% 13.82/3.67 | (591) ~ (all_0_139_139 = e12)
% 13.82/3.67 | (592) all_0_140_140 = e12
% 13.82/3.67 | (593) ~ (all_0_114_114 = e11)
% 13.82/3.67 | (594) ~ (all_0_115_115 = e10)
% 13.82/3.67 |
% 13.82/3.67 | Combining equations (546,543) yields a new equation:
% 13.82/3.67 | (595) e12 = e11
% 13.82/3.67 |
% 13.82/3.67 | Equations (595) can reduce 334 to:
% 13.82/3.67 | (424) $false
% 13.82/3.67 |
% 13.82/3.67 |-The branch is then unsatisfiable
% 13.82/3.67 |-Branch two:
% 13.82/3.67 | (597) all_0_140_140 = e11 & all_0_143_143 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)
% 13.82/3.67 |
% 13.82/3.67 | Applying alpha-rule on (597) yields:
% 13.82/3.67 | (546) all_0_143_143 = e11
% 13.82/3.67 | (599) ~ (all_0_117_117 = e12)
% 13.82/3.67 | (600) ~ (all_0_118_118 = e11)
% 13.82/3.67 | (601) ~ (all_0_116_116 = e13)
% 13.82/3.67 | (602) all_0_140_140 = e11
% 13.82/3.67 | (603) ~ (all_0_119_119 = e10)
% 13.82/3.67 |
% 13.82/3.67 | Equations (572) can reduce 600 to:
% 13.82/3.67 | (424) $false
% 13.82/3.67 |
% 13.82/3.67 |-The branch is then unsatisfiable
% 13.82/3.67 |-Branch two:
% 13.82/3.67 | (605) all_0_141_141 = e12 & all_0_147_147 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)
% 13.82/3.67 |
% 13.82/3.67 | Applying alpha-rule on (605) yields:
% 13.82/3.67 | (590) ~ (all_0_113_113 = e13)
% 13.82/3.67 | (591) ~ (all_0_139_139 = e12)
% 13.82/3.67 | (593) ~ (all_0_114_114 = e11)
% 13.82/3.67 | (536) all_0_147_147 = e12
% 13.82/3.67 | (610) all_0_141_141 = e12
% 13.82/3.67 | (594) ~ (all_0_115_115 = e10)
% 13.82/3.67 |
% 13.82/3.67 | Equations (610) can reduce 565 to:
% 13.82/3.67 | (424) $false
% 13.82/3.67 |
% 13.82/3.67 |-The branch is then unsatisfiable
% 13.82/3.67 |-Branch two:
% 13.82/3.67 | (613) all_0_144_144 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)
% 13.82/3.67 |
% 13.82/3.67 | Applying alpha-rule on (613) yields:
% 13.82/3.67 | (599) ~ (all_0_117_117 = e12)
% 13.82/3.67 | (615) all_0_144_144 = e11
% 13.82/3.67 | (600) ~ (all_0_118_118 = e11)
% 13.82/3.67 | (601) ~ (all_0_116_116 = e13)
% 13.82/3.67 | (603) ~ (all_0_119_119 = e10)
% 13.82/3.67 |
% 13.82/3.67 | Combining equations (554,615) yields a new equation:
% 13.82/3.67 | (619) e12 = e11
% 13.82/3.67 |
% 13.82/3.67 | Simplifying 619 yields:
% 13.82/3.67 | (595) e12 = e11
% 13.82/3.67 |
% 13.82/3.67 | Equations (595) can reduce 334 to:
% 13.82/3.67 | (424) $false
% 13.82/3.67 |
% 13.82/3.67 |-The branch is then unsatisfiable
% 13.82/3.67 |-Branch two:
% 13.82/3.67 | (622) all_0_145_145 = e11 & all_0_148_148 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)
% 13.82/3.67 |
% 13.82/3.67 | Applying alpha-rule on (622) yields:
% 13.82/3.67 | (623) all_0_145_145 = e11
% 13.82/3.67 | (599) ~ (all_0_117_117 = e12)
% 13.82/3.67 | (600) ~ (all_0_118_118 = e11)
% 13.82/3.67 | (601) ~ (all_0_116_116 = e13)
% 13.82/3.67 | (627) all_0_148_148 = e11
% 13.82/3.67 | (603) ~ (all_0_119_119 = e10)
% 13.82/3.67 |
% 13.82/3.67 | Equations (623) can reduce 548 to:
% 13.82/3.67 | (424) $false
% 13.82/3.67 |
% 13.82/3.67 |-The branch is then unsatisfiable
% 13.82/3.67 |-Branch two:
% 13.82/3.67 | (630) ~ (all_0_120_120 = e13) & ~ (all_0_121_121 = e12) & ~ (all_0_122_122 = e11) & ~ (all_0_123_123 = e10) & (all_0_149_149 = e10 | (all_0_145_145 = e10 & all_0_148_148 = e10))
% 13.82/3.67 |
% 13.82/3.67 | Applying alpha-rule on (630) yields:
% 13.82/3.67 | (631) ~ (all_0_121_121 = e12)
% 13.82/3.67 | (632) ~ (all_0_120_120 = e13)
% 13.82/3.67 | (633) ~ (all_0_123_123 = e10)
% 13.82/3.67 | (634) ~ (all_0_122_122 = e11)
% 13.82/3.67 | (635) all_0_149_149 = e10 | (all_0_145_145 = e10 & all_0_148_148 = e10)
% 13.82/3.67 |
% 13.82/3.67 | Equations (573) can reduce 631 to:
% 13.82/3.67 | (424) $false
% 13.82/3.67 |
% 13.82/3.67 |-The branch is then unsatisfiable
% 13.82/3.67 |-Branch two:
% 13.82/3.67 | (591) ~ (all_0_139_139 = e12)
% 13.82/3.67 | (638) all_0_142_142 = e12 | all_0_146_146 = e12
% 13.82/3.67 |
% 13.82/3.67 +-Applying beta-rule and splitting (638), into two cases.
% 13.82/3.67 |-Branch one:
% 13.82/3.67 | (639) all_0_142_142 = e12
% 13.82/3.67 |
% 13.82/3.67 | Equations (639) can reduce 556 to:
% 13.82/3.67 | (424) $false
% 13.82/3.67 |
% 13.82/3.67 |-The branch is then unsatisfiable
% 13.82/3.67 |-Branch two:
% 13.82/3.67 | (556) ~ (all_0_142_142 = e12)
% 13.82/3.67 | (642) all_0_146_146 = e12
% 13.82/3.67 |
% 13.82/3.67 | Equations (642) can reduce 538 to:
% 13.82/3.67 | (424) $false
% 13.82/3.67 |
% 13.82/3.67 |-The branch is then unsatisfiable
% 13.82/3.68 |-Branch two:
% 13.82/3.68 | (644) ~ (all_0_144_144 = e12)
% 13.82/3.68 | (645) all_0_149_149 = e12
% 13.82/3.68 |
% 13.82/3.68 | Equations (645) can reduce 540 to:
% 13.82/3.68 | (424) $false
% 13.82/3.68 |
% 13.82/3.68 |-The branch is then unsatisfiable
% 13.82/3.68 |-Branch two:
% 13.82/3.68 | (647) ~ (all_0_147_147 = e12)
% 13.82/3.68 | (648) all_0_147_147 = e11
% 13.82/3.68 |
% 13.82/3.68 | Equations (648) can reduce 93 to:
% 13.82/3.68 | (550) ~ (all_0_143_143 = e11)
% 13.82/3.68 |
% 13.82/3.68 | Equations (648) can reduce 208 to:
% 13.82/3.68 | (95) ~ (all_0_146_146 = e11)
% 13.82/3.68 |
% 13.82/3.68 | Equations (648) can reduce 45 to:
% 13.82/3.68 | (651) ~ (all_0_148_148 = e11)
% 13.82/3.68 |
% 13.82/3.68 | Simplifying 651 yields:
% 13.82/3.68 | (652) ~ (all_0_148_148 = e11)
% 13.82/3.68 |
% 13.82/3.68 | Equations (648) can reduce 183 to:
% 13.82/3.68 | (653) ~ (all_0_149_149 = e11)
% 13.82/3.68 |
% 13.82/3.68 | Simplifying 653 yields:
% 13.82/3.68 | (654) ~ (all_0_149_149 = e11)
% 13.82/3.68 |
% 13.82/3.68 | From (648) and (46) follows:
% 13.82/3.68 | (655) op1(e10, e11) = all_0_121_121
% 13.82/3.68 |
% 13.82/3.68 | From (648) and (178) follows:
% 13.82/3.68 | (656) h3(e11) = all_0_35_35
% 13.82/3.68 |
% 13.82/3.68 +-Applying beta-rule and splitting (83), into two cases.
% 13.82/3.68 |-Branch one:
% 13.82/3.68 | (543) all_0_143_143 = e12
% 13.82/3.68 |
% 13.82/3.68 | Equations (543) can reduce 156 to:
% 13.82/3.68 | (556) ~ (all_0_142_142 = e12)
% 13.82/3.68 |
% 13.82/3.68 | Equations (543) can reduce 68 to:
% 13.82/3.68 | (659) ~ (all_0_145_145 = e12)
% 13.82/3.68 |
% 13.82/3.68 | Simplifying 659 yields:
% 13.82/3.68 | (660) ~ (all_0_145_145 = e12)
% 13.82/3.68 |
% 13.82/3.68 | Equations (543) can reduce 241 to:
% 13.82/3.68 | (661) ~ (e13 = e12)
% 13.82/3.68 |
% 13.82/3.68 | Simplifying 661 yields:
% 13.82/3.68 | (308) ~ (e13 = e12)
% 13.82/3.68 |
% 13.82/3.68 | From (543) and (256) follows:
% 13.82/3.68 | (663) op1(e11, e12) = all_0_117_117
% 13.82/3.68 |
% 13.82/3.68 | From (543) and (324) follows:
% 13.82/3.68 | (664) op1(e11, e12) = e12
% 13.82/3.68 |
% 13.82/3.68 | From (543) and (376) follows:
% 13.82/3.68 | (665) h3(e12) = all_0_31_31
% 13.82/3.68 |
% 13.82/3.68 | Instantiating formula (114) with e11, e12, e12, all_0_117_117 and discharging atoms op1(e11, e12) = all_0_117_117, op1(e11, e12) = e12, yields:
% 13.82/3.68 | (666) all_0_117_117 = e12
% 13.82/3.68 |
% 13.82/3.68 | Instantiating formula (114) with e10, e11, all_0_121_121, all_0_148_148 and discharging atoms op1(e10, e11) = all_0_121_121, op1(e10, e11) = all_0_148_148, yields:
% 13.82/3.68 | (667) all_0_121_121 = all_0_148_148
% 13.82/3.68 |
% 13.82/3.68 | Instantiating formula (274) with e12, all_0_31_31, e22 and discharging atoms h3(e12) = all_0_31_31, h3(e12) = e22, yields:
% 13.82/3.68 | (668) all_0_31_31 = e22
% 13.82/3.68 |
% 13.82/3.68 | Instantiating formula (274) with e11, all_0_35_35, e21 and discharging atoms h3(e11) = all_0_35_35, h3(e11) = e21, yields:
% 13.82/3.68 | (669) all_0_35_35 = e21
% 13.82/3.68 |
% 13.82/3.68 | From (668) and (665) follows:
% 13.82/3.68 | (229) h3(e12) = e22
% 13.82/3.68 |
% 13.82/3.68 | From (669) and (656) follows:
% 13.82/3.68 | (214) h3(e11) = e21
% 13.82/3.68 |
% 13.82/3.68 +-Applying beta-rule and splitting (140), into two cases.
% 13.82/3.68 |-Branch one:
% 13.82/3.68 | (558) all_0_137_137 = e12
% 13.82/3.68 |
% 13.82/3.68 | Equations (558) can reduce 36 to:
% 13.82/3.68 | (673) ~ (all_0_140_140 = e12)
% 13.82/3.68 |
% 13.82/3.68 | Simplifying 673 yields:
% 13.82/3.68 | (674) ~ (all_0_140_140 = e12)
% 13.82/3.68 |
% 13.82/3.68 | Equations (558) can reduce 206 to:
% 13.82/3.68 | (675) ~ (all_0_144_144 = e12)
% 13.82/3.68 |
% 13.82/3.68 | Simplifying 675 yields:
% 13.82/3.68 | (644) ~ (all_0_144_144 = e12)
% 13.82/3.68 |
% 13.82/3.68 | Equations (558) can reduce 192 to:
% 13.82/3.68 | (677) ~ (all_0_148_148 = e12)
% 13.82/3.68 |
% 13.82/3.68 | Simplifying 677 yields:
% 13.82/3.68 | (678) ~ (all_0_148_148 = e12)
% 13.82/3.68 |
% 13.82/3.68 | Equations (558) can reduce 160 to:
% 13.82/3.68 | (172) ~ (e12 = e10)
% 13.82/3.68 |
% 13.82/3.68 +-Applying beta-rule and splitting (17), into two cases.
% 13.82/3.68 |-Branch one:
% 13.82/3.68 | (570) all_0_137_137 = e13
% 13.82/3.68 |
% 13.82/3.68 | Combining equations (570,558) yields a new equation:
% 13.82/3.68 | (585) e13 = e12
% 13.82/3.68 |
% 13.82/3.68 | Simplifying 585 yields:
% 13.82/3.68 | (586) e13 = e12
% 13.82/3.68 |
% 13.82/3.68 | Equations (586) can reduce 308 to:
% 13.82/3.68 | (424) $false
% 13.82/3.68 |
% 13.82/3.68 |-The branch is then unsatisfiable
% 13.82/3.68 |-Branch two:
% 13.82/3.68 | (580) ~ (all_0_137_137 = e13)
% 13.82/3.68 | (582) all_0_138_138 = e13
% 13.82/3.68 |
% 13.82/3.68 | Equations (582) can reduce 96 to:
% 13.82/3.68 | (686) ~ (all_0_141_141 = e13)
% 13.82/3.68 |
% 13.82/3.68 | Simplifying 686 yields:
% 13.82/3.68 | (252) ~ (all_0_141_141 = e13)
% 13.82/3.68 |
% 13.82/3.68 | Equations (582) can reduce 246 to:
% 13.82/3.68 | (688) ~ (all_0_149_149 = e13)
% 14.00/3.68 |
% 14.00/3.68 | Simplifying 688 yields:
% 14.00/3.68 | (689) ~ (all_0_149_149 = e13)
% 14.00/3.68 |
% 14.00/3.68 +-Applying beta-rule and splitting (312), into two cases.
% 14.00/3.68 |-Branch one:
% 14.00/3.68 | (563) all_0_139_139 = e12
% 14.00/3.68 |
% 14.00/3.68 | Equations (563) can reduce 149 to:
% 14.00/3.68 | (673) ~ (all_0_140_140 = e12)
% 14.00/3.68 |
% 14.00/3.68 | Simplifying 673 yields:
% 14.00/3.68 | (674) ~ (all_0_140_140 = e12)
% 14.00/3.68 |
% 14.00/3.68 | Equations (563) can reduce 260 to:
% 14.00/3.68 | (693) ~ (all_0_142_142 = e12)
% 14.00/3.68 |
% 14.00/3.68 | Simplifying 693 yields:
% 14.00/3.68 | (556) ~ (all_0_142_142 = e12)
% 14.00/3.68 |
% 14.00/3.68 | Equations (563) can reduce 15 to:
% 14.00/3.68 | (695) ~ (all_0_146_146 = e12)
% 14.00/3.68 |
% 14.00/3.68 | Simplifying 695 yields:
% 14.00/3.68 | (538) ~ (all_0_146_146 = e12)
% 14.00/3.68 |
% 14.00/3.68 | Equations (563) can reduce 391 to:
% 14.00/3.68 | (334) ~ (e12 = e11)
% 14.00/3.68 |
% 14.00/3.68 +-Applying beta-rule and splitting (74), into two cases.
% 14.00/3.68 |-Branch one:
% 14.00/3.68 | (642) all_0_146_146 = e12
% 14.00/3.68 |
% 14.00/3.68 | Equations (642) can reduce 538 to:
% 14.00/3.68 | (424) $false
% 14.00/3.68 |
% 14.00/3.68 |-The branch is then unsatisfiable
% 14.00/3.68 |-Branch two:
% 14.00/3.68 | (538) ~ (all_0_146_146 = e12)
% 14.00/3.68 | (701) all_0_147_147 = e12 | all_0_148_148 = e12 | all_0_149_149 = e12
% 14.00/3.68 |
% 14.00/3.68 +-Applying beta-rule and splitting (701), into two cases.
% 14.00/3.68 |-Branch one:
% 14.00/3.68 | (536) all_0_147_147 = e12
% 14.00/3.68 |
% 14.00/3.68 | Combining equations (536,648) yields a new equation:
% 14.00/3.68 | (619) e12 = e11
% 14.00/3.68 |
% 14.00/3.68 | Simplifying 619 yields:
% 14.00/3.68 | (595) e12 = e11
% 14.00/3.68 |
% 14.00/3.68 | Equations (595) can reduce 334 to:
% 14.00/3.68 | (424) $false
% 14.00/3.68 |
% 14.00/3.68 |-The branch is then unsatisfiable
% 14.00/3.68 |-Branch two:
% 14.00/3.68 | (647) ~ (all_0_147_147 = e12)
% 14.00/3.68 | (707) all_0_148_148 = e12 | all_0_149_149 = e12
% 14.00/3.68 |
% 14.00/3.68 +-Applying beta-rule and splitting (707), into two cases.
% 14.00/3.68 |-Branch one:
% 14.00/3.68 | (708) all_0_148_148 = e12
% 14.00/3.68 |
% 14.00/3.68 | Equations (708) can reduce 678 to:
% 14.00/3.68 | (424) $false
% 14.00/3.68 |
% 14.00/3.68 |-The branch is then unsatisfiable
% 14.00/3.68 |-Branch two:
% 14.00/3.68 | (678) ~ (all_0_148_148 = e12)
% 14.00/3.68 | (645) all_0_149_149 = e12
% 14.00/3.68 |
% 14.00/3.69 | Equations (645) can reduce 30 to:
% 14.00/3.69 | (565) ~ (all_0_141_141 = e12)
% 14.00/3.69 |
% 14.00/3.69 | Equations (645) can reduce 299 to:
% 14.00/3.69 | (660) ~ (all_0_145_145 = e12)
% 14.00/3.69 |
% 14.00/3.69 | Equations (645) can reduce 105 to:
% 14.00/3.69 | (678) ~ (all_0_148_148 = e12)
% 14.00/3.69 |
% 14.00/3.69 +-Applying beta-rule and splitting (237), into two cases.
% 14.00/3.69 |-Branch one:
% 14.00/3.69 | (715) ~ (all_0_138_138 = e13)
% 14.00/3.69 |
% 14.00/3.69 | Equations (582) can reduce 715 to:
% 14.00/3.69 | (424) $false
% 14.00/3.69 |
% 14.00/3.69 |-The branch is then unsatisfiable
% 14.00/3.69 |-Branch two:
% 14.00/3.69 | (582) all_0_138_138 = e13
% 14.00/3.69 | (718) all_0_144_144 = e10 | all_0_149_149 = e10
% 14.00/3.69 |
% 14.00/3.69 +-Applying beta-rule and splitting (718), into two cases.
% 14.00/3.69 |-Branch one:
% 14.00/3.69 | (719) all_0_144_144 = e10
% 14.00/3.69 |
% 14.00/3.69 | Equations (719) can reduce 211 to:
% 14.00/3.69 | (720) ~ (all_0_142_142 = e10)
% 14.00/3.69 |
% 14.00/3.69 | Equations (719) can reduce 377 to:
% 14.00/3.69 | (721) ~ (all_0_145_145 = e10)
% 14.00/3.69 |
% 14.00/3.69 | Simplifying 721 yields:
% 14.00/3.69 | (722) ~ (all_0_145_145 = e10)
% 14.00/3.69 |
% 14.00/3.69 | Equations (719) can reduce 644 to:
% 14.00/3.69 | (723) ~ (e12 = e10)
% 14.00/3.69 |
% 14.00/3.69 | Simplifying 723 yields:
% 14.00/3.69 | (172) ~ (e12 = e10)
% 14.00/3.69 |
% 14.00/3.69 +-Applying beta-rule and splitting (284), into two cases.
% 14.00/3.69 |-Branch one:
% 14.00/3.69 | (639) all_0_142_142 = e12
% 14.00/3.69 |
% 14.00/3.69 | Equations (639) can reduce 556 to:
% 14.00/3.69 | (424) $false
% 14.00/3.69 |
% 14.00/3.69 |-The branch is then unsatisfiable
% 14.00/3.69 |-Branch two:
% 14.00/3.69 | (556) ~ (all_0_142_142 = e12)
% 14.00/3.69 | (728) all_0_142_142 = e13 | all_0_142_142 = e10
% 14.00/3.69 |
% 14.00/3.69 +-Applying beta-rule and splitting (728), into two cases.
% 14.00/3.69 |-Branch one:
% 14.00/3.69 | (729) all_0_142_142 = e10
% 14.00/3.69 |
% 14.00/3.69 | Equations (729) can reduce 720 to:
% 14.00/3.69 | (424) $false
% 14.00/3.69 |
% 14.00/3.69 |-The branch is then unsatisfiable
% 14.00/3.69 |-Branch two:
% 14.00/3.69 | (720) ~ (all_0_142_142 = e10)
% 14.00/3.69 | (732) all_0_142_142 = e13
% 14.00/3.69 |
% 14.00/3.69 | Equations (732) can reduce 99 to:
% 14.00/3.69 | (733) ~ (all_0_145_145 = e13)
% 14.00/3.69 |
% 14.00/3.69 | Simplifying 733 yields:
% 14.00/3.69 | (734) ~ (all_0_145_145 = e13)
% 14.00/3.69 |
% 14.00/3.69 | Equations (732) can reduce 720 to:
% 14.00/3.69 | (209) ~ (e13 = e10)
% 14.00/3.69 |
% 14.00/3.69 +-Applying beta-rule and splitting (332), into two cases.
% 14.00/3.69 |-Branch one:
% 14.00/3.69 | (736) all_0_139_139 = e10
% 14.00/3.69 |
% 14.00/3.69 | Combining equations (563,736) yields a new equation:
% 14.00/3.69 | (737) e12 = e10
% 14.00/3.69 |
% 14.00/3.69 | Simplifying 737 yields:
% 14.00/3.69 | (738) e12 = e10
% 14.00/3.69 |
% 14.00/3.69 | Equations (738) can reduce 172 to:
% 14.00/3.69 | (424) $false
% 14.00/3.69 |
% 14.00/3.69 |-The branch is then unsatisfiable
% 14.00/3.69 |-Branch two:
% 14.00/3.69 | (740) ~ (all_0_139_139 = e10)
% 14.00/3.69 | (741) all_0_142_142 = e10 | all_0_146_146 = e10
% 14.00/3.69 |
% 14.00/3.69 +-Applying beta-rule and splitting (136), into two cases.
% 14.00/3.69 |-Branch one:
% 14.00/3.69 | (742) all_0_146_146 = e10
% 14.00/3.69 |
% 14.00/3.69 | Equations (742) can reduce 122 to:
% 14.00/3.69 | (743) ~ (all_0_148_148 = e10)
% 14.00/3.69 |
% 14.00/3.69 | Simplifying 743 yields:
% 14.00/3.69 | (744) ~ (all_0_148_148 = e10)
% 14.00/3.69 |
% 14.00/3.69 +-Applying beta-rule and splitting (89), into two cases.
% 14.00/3.69 |-Branch one:
% 14.00/3.69 | (745) all_0_145_145 = e12
% 14.00/3.69 |
% 14.00/3.69 | Equations (745) can reduce 660 to:
% 14.00/3.69 | (424) $false
% 14.00/3.69 |
% 14.00/3.69 |-The branch is then unsatisfiable
% 14.00/3.69 |-Branch two:
% 14.00/3.69 | (660) ~ (all_0_145_145 = e12)
% 14.00/3.69 | (748) all_0_145_145 = e13 | all_0_145_145 = e11 | all_0_145_145 = e10
% 14.00/3.69 |
% 14.00/3.69 +-Applying beta-rule and splitting (748), into two cases.
% 14.00/3.69 |-Branch one:
% 14.00/3.69 | (749) all_0_145_145 = e10
% 14.00/3.69 |
% 14.00/3.69 | Equations (749) can reduce 722 to:
% 14.00/3.69 | (424) $false
% 14.00/3.69 |
% 14.00/3.69 |-The branch is then unsatisfiable
% 14.00/3.69 |-Branch two:
% 14.00/3.69 | (722) ~ (all_0_145_145 = e10)
% 14.00/3.69 | (752) all_0_145_145 = e13 | all_0_145_145 = e11
% 14.00/3.69 |
% 14.00/3.69 +-Applying beta-rule and splitting (752), into two cases.
% 14.00/3.69 |-Branch one:
% 14.00/3.69 | (623) all_0_145_145 = e11
% 14.00/3.69 |
% 14.00/3.69 | Equations (623) can reduce 220 to:
% 14.00/3.69 | (754) ~ (all_0_141_141 = e11)
% 14.00/3.69 |
% 14.00/3.69 +-Applying beta-rule and splitting (85), into two cases.
% 14.00/3.69 |-Branch one:
% 14.00/3.69 | (610) all_0_141_141 = e12
% 14.00/3.69 |
% 14.00/3.69 | Equations (610) can reduce 565 to:
% 14.00/3.69 | (424) $false
% 14.00/3.69 |
% 14.00/3.69 |-The branch is then unsatisfiable
% 14.00/3.69 |-Branch two:
% 14.00/3.69 | (565) ~ (all_0_141_141 = e12)
% 14.00/3.69 | (758) all_0_141_141 = e11 | all_0_141_141 = e10
% 14.00/3.69 |
% 14.00/3.69 +-Applying beta-rule and splitting (758), into two cases.
% 14.00/3.69 |-Branch one:
% 14.00/3.69 | (759) all_0_141_141 = e10
% 14.00/3.69 |
% 14.00/3.69 | Equations (759) can reduce 223 to:
% 14.00/3.69 | (760) ~ (all_0_140_140 = e10)
% 14.00/3.69 |
% 14.00/3.69 | Equations (759) can reduce 565 to:
% 14.00/3.69 | (723) ~ (e12 = e10)
% 14.00/3.69 |
% 14.00/3.69 | Simplifying 723 yields:
% 14.00/3.69 | (172) ~ (e12 = e10)
% 14.00/3.69 |
% 14.00/3.69 +-Applying beta-rule and splitting (224), into two cases.
% 14.00/3.69 |-Branch one:
% 14.00/3.69 | (708) all_0_148_148 = e12
% 14.00/3.69 |
% 14.00/3.69 | Equations (708) can reduce 678 to:
% 14.00/3.69 | (424) $false
% 14.00/3.69 |
% 14.00/3.69 |-The branch is then unsatisfiable
% 14.00/3.69 |-Branch two:
% 14.00/3.69 | (678) ~ (all_0_148_148 = e12)
% 14.00/3.69 | (766) all_0_148_148 = e13 | all_0_148_148 = e11 | all_0_148_148 = e10
% 14.00/3.69 |
% 14.00/3.69 +-Applying beta-rule and splitting (766), into two cases.
% 14.00/3.69 |-Branch one:
% 14.00/3.69 | (767) all_0_148_148 = e10
% 14.00/3.69 |
% 14.00/3.69 | Equations (767) can reduce 744 to:
% 14.00/3.69 | (424) $false
% 14.00/3.69 |
% 14.00/3.69 |-The branch is then unsatisfiable
% 14.00/3.69 |-Branch two:
% 14.00/3.69 | (744) ~ (all_0_148_148 = e10)
% 14.00/3.69 | (770) all_0_148_148 = e13 | all_0_148_148 = e11
% 14.00/3.69 |
% 14.00/3.69 +-Applying beta-rule and splitting (770), into two cases.
% 14.00/3.69 |-Branch one:
% 14.00/3.69 | (627) all_0_148_148 = e11
% 14.00/3.69 |
% 14.00/3.69 | Equations (627) can reduce 652 to:
% 14.00/3.69 | (424) $false
% 14.00/3.69 |
% 14.00/3.69 |-The branch is then unsatisfiable
% 14.00/3.69 |-Branch two:
% 14.00/3.69 | (652) ~ (all_0_148_148 = e11)
% 14.00/3.69 | (774) all_0_148_148 = e13
% 14.00/3.69 |
% 14.00/3.69 | Equations (774) can reduce 150 to:
% 14.00/3.69 | (271) ~ (all_0_140_140 = e13)
% 14.00/3.69 |
% 14.00/3.69 | Equations (774) can reduce 744 to:
% 14.00/3.69 | (209) ~ (e13 = e10)
% 14.00/3.69 |
% 14.00/3.69 +-Applying beta-rule and splitting (345), into two cases.
% 14.00/3.69 |-Branch one:
% 14.00/3.69 | (592) all_0_140_140 = e12
% 14.00/3.69 |
% 14.00/3.69 | Equations (592) can reduce 674 to:
% 14.00/3.69 | (424) $false
% 14.00/3.69 |
% 14.00/3.69 |-The branch is then unsatisfiable
% 14.00/3.69 |-Branch two:
% 14.00/3.69 | (674) ~ (all_0_140_140 = e12)
% 14.00/3.69 | (780) all_0_140_140 = e11 | all_0_140_140 = e10
% 14.00/3.69 |
% 14.00/3.69 +-Applying beta-rule and splitting (780), into two cases.
% 14.00/3.69 |-Branch one:
% 14.00/3.69 | (781) all_0_140_140 = e10
% 14.00/3.69 |
% 14.00/3.69 | Equations (781) can reduce 760 to:
% 14.00/3.69 | (424) $false
% 14.00/3.69 |
% 14.00/3.69 |-The branch is then unsatisfiable
% 14.00/3.69 |-Branch two:
% 14.00/3.70 | (760) ~ (all_0_140_140 = e10)
% 14.00/3.70 | (602) all_0_140_140 = e11
% 14.00/3.70 |
% 14.00/3.70 | Equations (602) can reduce 271 to:
% 14.00/3.70 | (785) ~ (e13 = e11)
% 14.00/3.70 |
% 14.00/3.70 | Simplifying 785 yields:
% 14.00/3.70 | (371) ~ (e13 = e11)
% 14.00/3.70 |
% 14.00/3.70 | Equations (602) can reduce 674 to:
% 14.00/3.70 | (787) ~ (e12 = e11)
% 14.00/3.70 |
% 14.00/3.70 | Simplifying 787 yields:
% 14.00/3.70 | (334) ~ (e12 = e11)
% 14.00/3.70 |
% 14.00/3.70 | Equations (602) can reduce 760 to:
% 14.00/3.70 | (317) ~ (e11 = e10)
% 14.00/3.70 |
% 14.00/3.70 +-Applying beta-rule and splitting (120), into two cases.
% 14.00/3.70 |-Branch one:
% 14.00/3.70 | (574) (all_0_138_138 = e13 & all_0_146_146 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_112_112 = e10) & ~ (all_0_137_137 = e13)) | (all_0_140_140 = e12 & all_0_143_143 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)) | (all_0_140_140 = e11 & all_0_143_143 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)) | (all_0_141_141 = e12 & all_0_147_147 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)) | (all_0_144_144 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)) | (all_0_145_145 = e11 & all_0_148_148 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10))
% 14.00/3.70 |
% 14.00/3.70 +-Applying beta-rule and splitting (574), into two cases.
% 14.00/3.70 |-Branch one:
% 14.00/3.70 | (575) (all_0_138_138 = e13 & all_0_146_146 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_112_112 = e10) & ~ (all_0_137_137 = e13)) | (all_0_140_140 = e12 & all_0_143_143 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)) | (all_0_140_140 = e11 & all_0_143_143 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)) | (all_0_141_141 = e12 & all_0_147_147 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)) | (all_0_144_144 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10))
% 14.00/3.70 |
% 14.00/3.70 +-Applying beta-rule and splitting (575), into two cases.
% 14.00/3.70 |-Branch one:
% 14.00/3.70 | (576) (all_0_138_138 = e13 & all_0_146_146 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_112_112 = e10) & ~ (all_0_137_137 = e13)) | (all_0_140_140 = e12 & all_0_143_143 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)) | (all_0_140_140 = e11 & all_0_143_143 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)) | (all_0_141_141 = e12 & all_0_147_147 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12))
% 14.00/3.70 |
% 14.00/3.70 +-Applying beta-rule and splitting (576), into two cases.
% 14.00/3.70 |-Branch one:
% 14.00/3.70 | (577) (all_0_138_138 = e13 & all_0_146_146 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_112_112 = e10) & ~ (all_0_137_137 = e13)) | (all_0_140_140 = e12 & all_0_143_143 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)) | (all_0_140_140 = e11 & all_0_143_143 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10))
% 14.00/3.70 |
% 14.00/3.70 +-Applying beta-rule and splitting (577), into two cases.
% 14.00/3.70 |-Branch one:
% 14.00/3.70 | (578) (all_0_138_138 = e13 & all_0_146_146 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_112_112 = e10) & ~ (all_0_137_137 = e13)) | (all_0_140_140 = e12 & all_0_143_143 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12))
% 14.00/3.70 |
% 14.00/3.70 +-Applying beta-rule and splitting (578), into two cases.
% 14.00/3.70 |-Branch one:
% 14.00/3.70 | (579) all_0_138_138 = e13 & all_0_146_146 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_112_112 = e10) & ~ (all_0_137_137 = e13)
% 14.00/3.70 |
% 14.00/3.70 | Applying alpha-rule on (579) yields:
% 14.00/3.70 | (580) ~ (all_0_137_137 = e13)
% 14.00/3.70 | (581) ~ (all_0_112_112 = e10)
% 14.00/3.70 | (582) all_0_138_138 = e13
% 14.00/3.70 | (583) all_0_146_146 = e13
% 14.00/3.70 | (584) ~ (all_0_111_111 = e11)
% 14.00/3.70 |
% 14.00/3.70 | Combining equations (742,583) yields a new equation:
% 14.00/3.70 | (801) e13 = e10
% 14.00/3.70 |
% 14.00/3.70 | Equations (801) can reduce 209 to:
% 14.00/3.70 | (424) $false
% 14.00/3.70 |
% 14.00/3.70 |-The branch is then unsatisfiable
% 14.00/3.70 |-Branch two:
% 14.00/3.70 | (588) all_0_140_140 = e12 & all_0_143_143 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)
% 14.00/3.70 |
% 14.00/3.70 | Applying alpha-rule on (588) yields:
% 14.00/3.70 | (543) all_0_143_143 = e12
% 14.00/3.70 | (590) ~ (all_0_113_113 = e13)
% 14.00/3.70 | (591) ~ (all_0_139_139 = e12)
% 14.00/3.70 | (592) all_0_140_140 = e12
% 14.00/3.70 | (593) ~ (all_0_114_114 = e11)
% 14.00/3.70 | (594) ~ (all_0_115_115 = e10)
% 14.00/3.70 |
% 14.00/3.70 | Combining equations (592,602) yields a new equation:
% 14.00/3.70 | (619) e12 = e11
% 14.00/3.70 |
% 14.00/3.70 | Simplifying 619 yields:
% 14.00/3.70 | (595) e12 = e11
% 14.00/3.70 |
% 14.00/3.70 | Equations (595) can reduce 334 to:
% 14.00/3.70 | (424) $false
% 14.00/3.70 |
% 14.00/3.70 |-The branch is then unsatisfiable
% 14.00/3.70 |-Branch two:
% 14.00/3.70 | (597) all_0_140_140 = e11 & all_0_143_143 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)
% 14.00/3.70 |
% 14.00/3.70 | Applying alpha-rule on (597) yields:
% 14.00/3.70 | (546) all_0_143_143 = e11
% 14.00/3.70 | (599) ~ (all_0_117_117 = e12)
% 14.00/3.70 | (600) ~ (all_0_118_118 = e11)
% 14.00/3.70 | (601) ~ (all_0_116_116 = e13)
% 14.00/3.70 | (602) all_0_140_140 = e11
% 14.00/3.70 | (603) ~ (all_0_119_119 = e10)
% 14.00/3.70 |
% 14.00/3.70 | Combining equations (543,546) yields a new equation:
% 14.00/3.70 | (619) e12 = e11
% 14.00/3.70 |
% 14.00/3.70 | Simplifying 619 yields:
% 14.00/3.70 | (595) e12 = e11
% 14.00/3.70 |
% 14.00/3.70 | Equations (595) can reduce 334 to:
% 14.00/3.70 | (424) $false
% 14.00/3.70 |
% 14.00/3.70 |-The branch is then unsatisfiable
% 14.00/3.70 |-Branch two:
% 14.00/3.70 | (605) all_0_141_141 = e12 & all_0_147_147 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)
% 14.00/3.70 |
% 14.00/3.70 | Applying alpha-rule on (605) yields:
% 14.00/3.70 | (590) ~ (all_0_113_113 = e13)
% 14.00/3.70 | (591) ~ (all_0_139_139 = e12)
% 14.00/3.70 | (593) ~ (all_0_114_114 = e11)
% 14.00/3.70 | (536) all_0_147_147 = e12
% 14.00/3.70 | (610) all_0_141_141 = e12
% 14.00/3.70 | (594) ~ (all_0_115_115 = e10)
% 14.00/3.70 |
% 14.00/3.70 | Combining equations (759,610) yields a new equation:
% 14.00/3.70 | (738) e12 = e10
% 14.00/3.70 |
% 14.00/3.70 | Combining equations (536,648) yields a new equation:
% 14.00/3.70 | (619) e12 = e11
% 14.00/3.70 |
% 14.00/3.70 | Simplifying 619 yields:
% 14.00/3.70 | (595) e12 = e11
% 14.00/3.70 |
% 14.00/3.70 | Combining equations (738,595) yields a new equation:
% 14.00/3.70 | (833) e11 = e10
% 14.00/3.70 |
% 14.00/3.70 | Equations (833) can reduce 317 to:
% 14.00/3.70 | (424) $false
% 14.00/3.70 |
% 14.00/3.70 |-The branch is then unsatisfiable
% 14.00/3.70 |-Branch two:
% 14.00/3.70 | (613) all_0_144_144 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)
% 14.00/3.70 |
% 14.00/3.70 | Applying alpha-rule on (613) yields:
% 14.00/3.70 | (599) ~ (all_0_117_117 = e12)
% 14.00/3.70 | (615) all_0_144_144 = e11
% 14.00/3.70 | (600) ~ (all_0_118_118 = e11)
% 14.00/3.70 | (601) ~ (all_0_116_116 = e13)
% 14.00/3.70 | (603) ~ (all_0_119_119 = e10)
% 14.00/3.70 |
% 14.00/3.70 | Combining equations (615,719) yields a new equation:
% 14.00/3.70 | (841) e11 = e10
% 14.00/3.70 |
% 14.00/3.70 | Simplifying 841 yields:
% 14.00/3.70 | (833) e11 = e10
% 14.00/3.70 |
% 14.00/3.70 | Equations (833) can reduce 317 to:
% 14.00/3.70 | (424) $false
% 14.00/3.70 |
% 14.00/3.70 |-The branch is then unsatisfiable
% 14.00/3.70 |-Branch two:
% 14.00/3.70 | (622) all_0_145_145 = e11 & all_0_148_148 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)
% 14.00/3.71 |
% 14.00/3.71 | Applying alpha-rule on (622) yields:
% 14.00/3.71 | (623) all_0_145_145 = e11
% 14.00/3.71 | (599) ~ (all_0_117_117 = e12)
% 14.00/3.71 | (600) ~ (all_0_118_118 = e11)
% 14.00/3.71 | (601) ~ (all_0_116_116 = e13)
% 14.00/3.71 | (627) all_0_148_148 = e11
% 14.00/3.71 | (603) ~ (all_0_119_119 = e10)
% 14.00/3.71 |
% 14.00/3.71 | Combining equations (774,627) yields a new equation:
% 14.00/3.71 | (851) e13 = e11
% 14.00/3.71 |
% 14.00/3.71 | Simplifying 851 yields:
% 14.00/3.71 | (852) e13 = e11
% 14.00/3.71 |
% 14.00/3.71 | Equations (852) can reduce 371 to:
% 14.00/3.71 | (424) $false
% 14.00/3.71 |
% 14.00/3.71 |-The branch is then unsatisfiable
% 14.00/3.71 |-Branch two:
% 14.00/3.71 | (630) ~ (all_0_120_120 = e13) & ~ (all_0_121_121 = e12) & ~ (all_0_122_122 = e11) & ~ (all_0_123_123 = e10) & (all_0_149_149 = e10 | (all_0_145_145 = e10 & all_0_148_148 = e10))
% 14.00/3.71 |
% 14.00/3.71 | Applying alpha-rule on (630) yields:
% 14.00/3.71 | (631) ~ (all_0_121_121 = e12)
% 14.00/3.71 | (632) ~ (all_0_120_120 = e13)
% 14.00/3.71 | (633) ~ (all_0_123_123 = e10)
% 14.00/3.71 | (634) ~ (all_0_122_122 = e11)
% 14.00/3.71 | (635) all_0_149_149 = e10 | (all_0_145_145 = e10 & all_0_148_148 = e10)
% 14.00/3.71 |
% 14.00/3.71 +-Applying beta-rule and splitting (635), into two cases.
% 14.00/3.71 |-Branch one:
% 14.00/3.71 | (860) all_0_149_149 = e10
% 14.00/3.71 |
% 14.00/3.71 | Combining equations (860,645) yields a new equation:
% 14.00/3.71 | (738) e12 = e10
% 14.00/3.71 |
% 14.00/3.71 | Equations (738) can reduce 172 to:
% 14.00/3.71 | (424) $false
% 14.00/3.71 |
% 14.00/3.71 |-The branch is then unsatisfiable
% 14.00/3.71 |-Branch two:
% 14.00/3.71 | (863) ~ (all_0_149_149 = e10)
% 14.00/3.71 | (864) all_0_145_145 = e10 & all_0_148_148 = e10
% 14.00/3.71 |
% 14.00/3.71 | Applying alpha-rule on (864) yields:
% 14.00/3.71 | (749) all_0_145_145 = e10
% 14.00/3.71 | (767) all_0_148_148 = e10
% 14.00/3.71 |
% 14.00/3.71 | Combining equations (749,623) yields a new equation:
% 14.00/3.71 | (833) e11 = e10
% 14.00/3.71 |
% 14.00/3.71 | Equations (833) can reduce 317 to:
% 14.00/3.71 | (424) $false
% 14.00/3.71 |
% 14.00/3.71 |-The branch is then unsatisfiable
% 14.00/3.71 |-Branch two:
% 14.00/3.71 | (869) ~ (all_0_141_141 = e10)
% 14.00/3.71 | (870) all_0_141_141 = e11
% 14.00/3.71 |
% 14.00/3.71 | Equations (870) can reduce 754 to:
% 14.00/3.71 | (424) $false
% 14.00/3.71 |
% 14.00/3.71 |-The branch is then unsatisfiable
% 14.00/3.71 |-Branch two:
% 14.00/3.71 | (548) ~ (all_0_145_145 = e11)
% 14.00/3.71 | (873) all_0_145_145 = e13
% 14.00/3.71 |
% 14.00/3.71 | Equations (873) can reduce 734 to:
% 14.00/3.71 | (424) $false
% 14.00/3.71 |
% 14.00/3.71 |-The branch is then unsatisfiable
% 14.00/3.71 |-Branch two:
% 14.00/3.71 | (875) ~ (all_0_146_146 = e10)
% 14.00/3.71 | (876) all_0_148_148 = e10 | all_0_149_149 = e10
% 14.00/3.71 |
% 14.00/3.71 +-Applying beta-rule and splitting (741), into two cases.
% 14.00/3.71 |-Branch one:
% 14.00/3.71 | (729) all_0_142_142 = e10
% 14.00/3.71 |
% 14.00/3.71 | Combining equations (732,729) yields a new equation:
% 14.00/3.71 | (878) e13 = e10
% 14.00/3.71 |
% 14.00/3.71 | Simplifying 878 yields:
% 14.00/3.71 | (801) e13 = e10
% 14.00/3.71 |
% 14.00/3.71 | Equations (801) can reduce 209 to:
% 14.00/3.71 | (424) $false
% 14.00/3.71 |
% 14.00/3.71 |-The branch is then unsatisfiable
% 14.00/3.71 |-Branch two:
% 14.00/3.71 | (720) ~ (all_0_142_142 = e10)
% 14.00/3.71 | (742) all_0_146_146 = e10
% 14.00/3.71 |
% 14.00/3.71 | Equations (742) can reduce 875 to:
% 14.00/3.71 | (424) $false
% 14.00/3.71 |
% 14.00/3.71 |-The branch is then unsatisfiable
% 14.00/3.71 |-Branch two:
% 14.00/3.71 | (884) ~ (all_0_144_144 = e10)
% 14.00/3.71 | (860) all_0_149_149 = e10
% 14.00/3.71 |
% 14.00/3.71 | Combining equations (860,645) yields a new equation:
% 14.00/3.71 | (738) e12 = e10
% 14.00/3.71 |
% 14.00/3.71 | Equations (738) can reduce 172 to:
% 14.00/3.71 | (424) $false
% 14.00/3.71 |
% 14.00/3.71 |-The branch is then unsatisfiable
% 14.00/3.71 |-Branch two:
% 14.00/3.71 | (591) ~ (all_0_139_139 = e12)
% 14.00/3.71 | (736) all_0_139_139 = e10
% 14.00/3.71 |
% 14.00/3.71 | Equations (736) can reduce 149 to:
% 14.00/3.71 | (890) ~ (all_0_140_140 = e10)
% 14.00/3.71 |
% 14.00/3.71 | Simplifying 890 yields:
% 14.00/3.71 | (760) ~ (all_0_140_140 = e10)
% 14.00/3.71 |
% 14.00/3.71 | Equations (736) can reduce 260 to:
% 14.00/3.71 | (892) ~ (all_0_142_142 = e10)
% 14.00/3.71 |
% 14.00/3.71 | Simplifying 892 yields:
% 14.00/3.71 | (720) ~ (all_0_142_142 = e10)
% 14.00/3.71 |
% 14.00/3.71 | Equations (736) can reduce 591 to:
% 14.00/3.71 | (723) ~ (e12 = e10)
% 14.00/3.71 |
% 14.00/3.71 | Simplifying 723 yields:
% 14.00/3.71 | (172) ~ (e12 = e10)
% 14.00/3.71 |
% 14.00/3.71 +-Applying beta-rule and splitting (284), into two cases.
% 14.00/3.71 |-Branch one:
% 14.00/3.71 | (639) all_0_142_142 = e12
% 14.00/3.71 |
% 14.00/3.71 | Equations (639) can reduce 556 to:
% 14.00/3.71 | (424) $false
% 14.00/3.71 |
% 14.00/3.71 |-The branch is then unsatisfiable
% 14.00/3.71 |-Branch two:
% 14.00/3.71 | (556) ~ (all_0_142_142 = e12)
% 14.00/3.71 | (728) all_0_142_142 = e13 | all_0_142_142 = e10
% 14.00/3.71 |
% 14.00/3.72 +-Applying beta-rule and splitting (345), into two cases.
% 14.00/3.72 |-Branch one:
% 14.00/3.72 | (592) all_0_140_140 = e12
% 14.00/3.72 |
% 14.00/3.72 | Equations (592) can reduce 674 to:
% 14.00/3.72 | (424) $false
% 14.00/3.72 |
% 14.00/3.72 |-The branch is then unsatisfiable
% 14.00/3.72 |-Branch two:
% 14.00/3.72 | (674) ~ (all_0_140_140 = e12)
% 14.00/3.72 | (780) all_0_140_140 = e11 | all_0_140_140 = e10
% 14.00/3.72 |
% 14.00/3.72 +-Applying beta-rule and splitting (780), into two cases.
% 14.00/3.72 |-Branch one:
% 14.00/3.72 | (781) all_0_140_140 = e10
% 14.00/3.72 |
% 14.00/3.72 | Equations (781) can reduce 760 to:
% 14.00/3.72 | (424) $false
% 14.00/3.72 |
% 14.00/3.72 |-The branch is then unsatisfiable
% 14.00/3.72 |-Branch two:
% 14.00/3.72 | (760) ~ (all_0_140_140 = e10)
% 14.00/3.72 | (602) all_0_140_140 = e11
% 14.00/3.72 |
% 14.00/3.72 | Equations (602) can reduce 223 to:
% 14.00/3.72 | (908) ~ (all_0_141_141 = e11)
% 14.00/3.72 |
% 14.00/3.72 | Simplifying 908 yields:
% 14.00/3.72 | (754) ~ (all_0_141_141 = e11)
% 14.00/3.72 |
% 14.00/3.72 | Equations (602) can reduce 150 to:
% 14.00/3.72 | (651) ~ (all_0_148_148 = e11)
% 14.00/3.72 |
% 14.00/3.72 | Simplifying 651 yields:
% 14.00/3.72 | (652) ~ (all_0_148_148 = e11)
% 14.00/3.72 |
% 14.00/3.72 | Equations (602) can reduce 760 to:
% 14.00/3.72 | (317) ~ (e11 = e10)
% 14.00/3.72 |
% 14.00/3.72 +-Applying beta-rule and splitting (34), into two cases.
% 14.00/3.72 |-Branch one:
% 14.00/3.72 | (563) all_0_139_139 = e12
% 14.00/3.72 |
% 14.00/3.72 | Combining equations (736,563) yields a new equation:
% 14.00/3.72 | (738) e12 = e10
% 14.00/3.72 |
% 14.00/3.72 | Equations (738) can reduce 172 to:
% 14.00/3.72 | (424) $false
% 14.00/3.72 |
% 14.00/3.72 |-The branch is then unsatisfiable
% 14.00/3.72 |-Branch two:
% 14.00/3.72 | (591) ~ (all_0_139_139 = e12)
% 14.00/3.72 | (917) all_0_140_140 = e12 | all_0_141_141 = e12
% 14.00/3.72 |
% 14.00/3.72 | Equations (736) can reduce 591 to:
% 14.00/3.72 | (723) ~ (e12 = e10)
% 14.00/3.72 |
% 14.00/3.72 | Simplifying 723 yields:
% 14.00/3.72 | (172) ~ (e12 = e10)
% 14.00/3.72 |
% 14.00/3.72 +-Applying beta-rule and splitting (267), into two cases.
% 14.00/3.72 |-Branch one:
% 14.00/3.72 | (563) all_0_139_139 = e12
% 14.00/3.72 |
% 14.00/3.72 | Combining equations (736,563) yields a new equation:
% 14.00/3.72 | (738) e12 = e10
% 14.00/3.72 |
% 14.00/3.72 | Equations (738) can reduce 172 to:
% 14.00/3.72 | (424) $false
% 14.00/3.72 |
% 14.00/3.72 |-The branch is then unsatisfiable
% 14.00/3.72 |-Branch two:
% 14.00/3.72 | (591) ~ (all_0_139_139 = e12)
% 14.00/3.72 | (638) all_0_142_142 = e12 | all_0_146_146 = e12
% 14.00/3.72 |
% 14.00/3.72 +-Applying beta-rule and splitting (638), into two cases.
% 14.00/3.72 |-Branch one:
% 14.00/3.72 | (639) all_0_142_142 = e12
% 14.00/3.72 |
% 14.00/3.72 | Equations (639) can reduce 556 to:
% 14.00/3.72 | (424) $false
% 14.00/3.72 |
% 14.00/3.72 |-The branch is then unsatisfiable
% 14.00/3.72 |-Branch two:
% 14.00/3.72 | (556) ~ (all_0_142_142 = e12)
% 14.00/3.72 | (642) all_0_146_146 = e12
% 14.00/3.72 |
% 14.00/3.72 | Equations (642) can reduce 217 to:
% 14.00/3.72 | (556) ~ (all_0_142_142 = e12)
% 14.00/3.72 |
% 14.00/3.72 | Equations (642) can reduce 122 to:
% 14.00/3.72 | (677) ~ (all_0_148_148 = e12)
% 14.00/3.72 |
% 14.00/3.72 | Simplifying 677 yields:
% 14.00/3.72 | (678) ~ (all_0_148_148 = e12)
% 14.00/3.72 |
% 14.00/3.72 | Equations (642) can reduce 261 to:
% 14.00/3.72 | (539) ~ (all_0_149_149 = e12)
% 14.00/3.72 |
% 14.00/3.72 | Simplifying 539 yields:
% 14.00/3.72 | (540) ~ (all_0_149_149 = e12)
% 14.00/3.72 |
% 14.00/3.72 +-Applying beta-rule and splitting (728), into two cases.
% 14.00/3.72 |-Branch one:
% 14.00/3.72 | (729) all_0_142_142 = e10
% 14.00/3.72 |
% 14.00/3.72 | Equations (729) can reduce 720 to:
% 14.00/3.72 | (424) $false
% 14.00/3.72 |
% 14.00/3.72 |-The branch is then unsatisfiable
% 14.00/3.72 |-Branch two:
% 14.00/3.72 | (720) ~ (all_0_142_142 = e10)
% 14.00/3.72 | (732) all_0_142_142 = e13
% 14.00/3.72 |
% 14.00/3.72 | Equations (732) can reduce 556 to:
% 14.00/3.72 | (308) ~ (e13 = e12)
% 14.00/3.72 |
% 14.00/3.72 | Equations (732) can reduce 720 to:
% 14.00/3.72 | (209) ~ (e13 = e10)
% 14.00/3.72 |
% 14.00/3.72 +-Applying beta-rule and splitting (20), into two cases.
% 14.00/3.72 |-Branch one:
% 14.00/3.72 | (583) all_0_146_146 = e13
% 14.00/3.72 |
% 14.00/3.72 | Combining equations (642,583) yields a new equation:
% 14.00/3.72 | (586) e13 = e12
% 14.00/3.72 |
% 14.00/3.72 | Equations (586) can reduce 308 to:
% 14.00/3.72 | (424) $false
% 14.00/3.72 |
% 14.00/3.72 |-The branch is then unsatisfiable
% 14.00/3.72 |-Branch two:
% 14.00/3.72 | (943) ~ (all_0_146_146 = e13)
% 14.00/3.72 | (944) all_0_148_148 = e13 | all_0_149_149 = e13
% 14.00/3.72 |
% 14.00/3.72 +-Applying beta-rule and splitting (944), into two cases.
% 14.00/3.72 |-Branch one:
% 14.00/3.72 | (774) all_0_148_148 = e13
% 14.00/3.72 |
% 14.00/3.72 | Equations (774) can reduce 196 to:
% 14.00/3.72 | (946) ~ (all_0_144_144 = e13)
% 14.00/3.72 |
% 14.00/3.72 | Equations (774) can reduce 678 to:
% 14.00/3.72 | (308) ~ (e13 = e12)
% 14.00/3.72 |
% 14.00/3.72 | Equations (774) can reduce 652 to:
% 14.00/3.72 | (371) ~ (e13 = e11)
% 14.00/3.72 |
% 14.00/3.72 +-Applying beta-rule and splitting (63), into two cases.
% 14.00/3.72 |-Branch one:
% 14.00/3.72 | (781) all_0_140_140 = e10
% 14.00/3.72 |
% 14.00/3.72 | Combining equations (781,602) yields a new equation:
% 14.00/3.72 | (833) e11 = e10
% 14.00/3.72 |
% 14.00/3.72 | Equations (833) can reduce 317 to:
% 14.00/3.72 | (424) $false
% 14.00/3.72 |
% 14.00/3.72 |-The branch is then unsatisfiable
% 14.00/3.72 |-Branch two:
% 14.00/3.72 | (760) ~ (all_0_140_140 = e10)
% 14.00/3.72 | (953) all_0_144_144 = e10 | all_0_148_148 = e10
% 14.00/3.72 |
% 14.00/3.72 +-Applying beta-rule and splitting (953), into two cases.
% 14.00/3.72 |-Branch one:
% 14.00/3.72 | (719) all_0_144_144 = e10
% 14.00/3.72 |
% 14.00/3.72 | Equations (719) can reduce 946 to:
% 14.00/3.72 | (955) ~ (e13 = e10)
% 14.00/3.72 |
% 14.00/3.72 | Simplifying 955 yields:
% 14.00/3.72 | (209) ~ (e13 = e10)
% 14.00/3.72 |
% 14.00/3.72 | Equations (719) can reduce 644 to:
% 14.00/3.72 | (723) ~ (e12 = e10)
% 14.00/3.72 |
% 14.00/3.72 | Simplifying 723 yields:
% 14.00/3.72 | (172) ~ (e12 = e10)
% 14.00/3.72 |
% 14.00/3.72 +-Applying beta-rule and splitting (136), into two cases.
% 14.00/3.72 |-Branch one:
% 14.00/3.72 | (742) all_0_146_146 = e10
% 14.00/3.72 |
% 14.00/3.72 | Combining equations (742,642) yields a new equation:
% 14.00/3.72 | (738) e12 = e10
% 14.00/3.72 |
% 14.00/3.72 | Equations (738) can reduce 172 to:
% 14.00/3.72 | (424) $false
% 14.00/3.72 |
% 14.00/3.72 |-The branch is then unsatisfiable
% 14.00/3.72 |-Branch two:
% 14.00/3.72 | (875) ~ (all_0_146_146 = e10)
% 14.00/3.72 | (876) all_0_148_148 = e10 | all_0_149_149 = e10
% 14.00/3.72 |
% 14.00/3.72 +-Applying beta-rule and splitting (85), into two cases.
% 14.00/3.72 |-Branch one:
% 14.00/3.72 | (610) all_0_141_141 = e12
% 14.00/3.72 |
% 14.00/3.72 | Equations (610) can reduce 252 to:
% 14.00/3.72 | (661) ~ (e13 = e12)
% 14.00/3.72 |
% 14.00/3.72 | Simplifying 661 yields:
% 14.00/3.72 | (308) ~ (e13 = e12)
% 14.00/3.72 |
% 14.00/3.72 | Equations (610) can reduce 754 to:
% 14.00/3.72 | (334) ~ (e12 = e11)
% 14.00/3.72 |
% 14.00/3.72 +-Applying beta-rule and splitting (876), into two cases.
% 14.00/3.72 |-Branch one:
% 14.00/3.72 | (767) all_0_148_148 = e10
% 14.00/3.72 |
% 14.00/3.72 | Combining equations (774,767) yields a new equation:
% 14.00/3.72 | (878) e13 = e10
% 14.00/3.72 |
% 14.00/3.73 | Simplifying 878 yields:
% 14.00/3.73 | (801) e13 = e10
% 14.00/3.73 |
% 14.00/3.73 | Equations (801) can reduce 209 to:
% 14.00/3.73 | (424) $false
% 14.00/3.73 |
% 14.00/3.73 |-The branch is then unsatisfiable
% 14.00/3.73 |-Branch two:
% 14.00/3.73 | (744) ~ (all_0_148_148 = e10)
% 14.00/3.73 | (860) all_0_149_149 = e10
% 14.00/3.73 |
% 14.00/3.73 | Equations (860) can reduce 654 to:
% 14.00/3.73 | (974) ~ (e11 = e10)
% 14.00/3.73 |
% 14.00/3.73 | Simplifying 974 yields:
% 14.00/3.73 | (317) ~ (e11 = e10)
% 14.00/3.73 |
% 14.00/3.73 | From (860) and (320) follows:
% 14.00/3.73 | (976) op1(e10, e10) = all_0_123_123
% 14.00/3.73 |
% 14.00/3.73 | From (860) and (180) follows:
% 14.00/3.73 | (977) op1(e10, e10) = e10
% 14.00/3.73 |
% 14.00/3.73 +-Applying beta-rule and splitting (184), into two cases.
% 14.00/3.73 |-Branch one:
% 14.00/3.73 | (870) all_0_141_141 = e11
% 14.00/3.73 |
% 14.00/3.73 | Combining equations (610,870) yields a new equation:
% 14.00/3.73 | (619) e12 = e11
% 14.00/3.73 |
% 14.00/3.73 | Simplifying 619 yields:
% 14.00/3.73 | (595) e12 = e11
% 14.00/3.73 |
% 14.00/3.73 | Equations (595) can reduce 334 to:
% 14.00/3.73 | (424) $false
% 14.00/3.73 |
% 14.00/3.73 |-The branch is then unsatisfiable
% 14.00/3.73 |-Branch two:
% 14.00/3.73 | (754) ~ (all_0_141_141 = e11)
% 14.00/3.73 | (983) all_0_145_145 = e11 | all_0_149_149 = e11
% 14.00/3.73 |
% 14.00/3.73 | Equations (610) can reduce 754 to:
% 14.00/3.73 | (334) ~ (e12 = e11)
% 14.00/3.73 |
% 14.00/3.73 +-Applying beta-rule and splitting (303), into two cases.
% 14.00/3.73 |-Branch one:
% 14.00/3.73 | (546) all_0_143_143 = e11
% 14.00/3.73 |
% 14.00/3.73 | Combining equations (543,546) yields a new equation:
% 14.00/3.73 | (619) e12 = e11
% 14.00/3.73 |
% 14.00/3.73 | Simplifying 619 yields:
% 14.00/3.73 | (595) e12 = e11
% 14.00/3.73 |
% 14.00/3.73 | Equations (595) can reduce 334 to:
% 14.00/3.73 | (424) $false
% 14.00/3.73 |
% 14.00/3.73 |-The branch is then unsatisfiable
% 14.00/3.73 |-Branch two:
% 14.00/3.73 | (550) ~ (all_0_143_143 = e11)
% 14.00/3.73 | (990) all_0_144_144 = e11 | all_0_145_145 = e11
% 14.00/3.73 |
% 14.00/3.73 | Equations (543) can reduce 550 to:
% 14.00/3.73 | (334) ~ (e12 = e11)
% 14.00/3.73 |
% 14.00/3.73 +-Applying beta-rule and splitting (120), into two cases.
% 14.00/3.73 |-Branch one:
% 14.00/3.73 | (574) (all_0_138_138 = e13 & all_0_146_146 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_112_112 = e10) & ~ (all_0_137_137 = e13)) | (all_0_140_140 = e12 & all_0_143_143 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)) | (all_0_140_140 = e11 & all_0_143_143 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)) | (all_0_141_141 = e12 & all_0_147_147 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)) | (all_0_144_144 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)) | (all_0_145_145 = e11 & all_0_148_148 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10))
% 14.00/3.73 |
% 14.00/3.73 +-Applying beta-rule and splitting (574), into two cases.
% 14.00/3.73 |-Branch one:
% 14.00/3.73 | (575) (all_0_138_138 = e13 & all_0_146_146 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_112_112 = e10) & ~ (all_0_137_137 = e13)) | (all_0_140_140 = e12 & all_0_143_143 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)) | (all_0_140_140 = e11 & all_0_143_143 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)) | (all_0_141_141 = e12 & all_0_147_147 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)) | (all_0_144_144 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10))
% 14.00/3.73 |
% 14.00/3.73 +-Applying beta-rule and splitting (575), into two cases.
% 14.00/3.73 |-Branch one:
% 14.00/3.73 | (576) (all_0_138_138 = e13 & all_0_146_146 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_112_112 = e10) & ~ (all_0_137_137 = e13)) | (all_0_140_140 = e12 & all_0_143_143 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)) | (all_0_140_140 = e11 & all_0_143_143 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)) | (all_0_141_141 = e12 & all_0_147_147 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12))
% 14.00/3.73 |
% 14.00/3.73 +-Applying beta-rule and splitting (576), into two cases.
% 14.00/3.73 |-Branch one:
% 14.00/3.73 | (577) (all_0_138_138 = e13 & all_0_146_146 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_112_112 = e10) & ~ (all_0_137_137 = e13)) | (all_0_140_140 = e12 & all_0_143_143 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)) | (all_0_140_140 = e11 & all_0_143_143 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10))
% 14.00/3.73 |
% 14.00/3.73 +-Applying beta-rule and splitting (577), into two cases.
% 14.00/3.73 |-Branch one:
% 14.00/3.73 | (578) (all_0_138_138 = e13 & all_0_146_146 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_112_112 = e10) & ~ (all_0_137_137 = e13)) | (all_0_140_140 = e12 & all_0_143_143 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12))
% 14.00/3.73 |
% 14.00/3.73 +-Applying beta-rule and splitting (578), into two cases.
% 14.00/3.73 |-Branch one:
% 14.00/3.73 | (579) all_0_138_138 = e13 & all_0_146_146 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_112_112 = e10) & ~ (all_0_137_137 = e13)
% 14.00/3.73 |
% 14.00/3.73 | Applying alpha-rule on (579) yields:
% 14.00/3.73 | (580) ~ (all_0_137_137 = e13)
% 14.00/3.73 | (581) ~ (all_0_112_112 = e10)
% 14.00/3.73 | (582) all_0_138_138 = e13
% 14.00/3.73 | (583) all_0_146_146 = e13
% 14.00/3.73 | (584) ~ (all_0_111_111 = e11)
% 14.00/3.73 |
% 14.00/3.73 | Combining equations (583,642) yields a new equation:
% 14.00/3.73 | (585) e13 = e12
% 14.00/3.73 |
% 14.00/3.73 | Simplifying 585 yields:
% 14.00/3.73 | (586) e13 = e12
% 14.00/3.73 |
% 14.00/3.73 | Equations (586) can reduce 308 to:
% 14.00/3.73 | (424) $false
% 14.00/3.73 |
% 14.00/3.73 |-The branch is then unsatisfiable
% 14.00/3.73 |-Branch two:
% 14.00/3.73 | (588) all_0_140_140 = e12 & all_0_143_143 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)
% 14.00/3.73 |
% 14.00/3.73 | Applying alpha-rule on (588) yields:
% 14.00/3.73 | (543) all_0_143_143 = e12
% 14.00/3.73 | (590) ~ (all_0_113_113 = e13)
% 14.00/3.73 | (591) ~ (all_0_139_139 = e12)
% 14.00/3.73 | (592) all_0_140_140 = e12
% 14.00/3.73 | (593) ~ (all_0_114_114 = e11)
% 14.00/3.73 | (594) ~ (all_0_115_115 = e10)
% 14.00/3.73 |
% 14.00/3.73 | Combining equations (592,602) yields a new equation:
% 14.00/3.73 | (619) e12 = e11
% 14.00/3.73 |
% 14.00/3.73 | Simplifying 619 yields:
% 14.00/3.73 | (595) e12 = e11
% 14.00/3.73 |
% 14.00/3.73 | Equations (595) can reduce 334 to:
% 14.00/3.73 | (424) $false
% 14.00/3.73 |
% 14.00/3.73 |-The branch is then unsatisfiable
% 14.00/3.73 |-Branch two:
% 14.00/3.73 | (597) all_0_140_140 = e11 & all_0_143_143 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)
% 14.00/3.73 |
% 14.00/3.73 | Applying alpha-rule on (597) yields:
% 14.00/3.73 | (546) all_0_143_143 = e11
% 14.00/3.73 | (599) ~ (all_0_117_117 = e12)
% 14.00/3.73 | (600) ~ (all_0_118_118 = e11)
% 14.00/3.73 | (601) ~ (all_0_116_116 = e13)
% 14.00/3.73 | (602) all_0_140_140 = e11
% 14.00/3.73 | (603) ~ (all_0_119_119 = e10)
% 14.00/3.73 |
% 14.00/3.73 | Combining equations (546,543) yields a new equation:
% 14.00/3.73 | (595) e12 = e11
% 14.00/3.73 |
% 14.00/3.73 | Equations (595) can reduce 334 to:
% 14.00/3.73 | (424) $false
% 14.00/3.73 |
% 14.00/3.73 |-The branch is then unsatisfiable
% 14.00/3.73 |-Branch two:
% 14.00/3.73 | (605) all_0_141_141 = e12 & all_0_147_147 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)
% 14.00/3.73 |
% 14.00/3.73 | Applying alpha-rule on (605) yields:
% 14.00/3.73 | (590) ~ (all_0_113_113 = e13)
% 14.00/3.73 | (591) ~ (all_0_139_139 = e12)
% 14.00/3.73 | (593) ~ (all_0_114_114 = e11)
% 14.00/3.73 | (536) all_0_147_147 = e12
% 14.00/3.74 | (610) all_0_141_141 = e12
% 14.00/3.74 | (594) ~ (all_0_115_115 = e10)
% 14.00/3.74 |
% 14.00/3.74 | Combining equations (648,536) yields a new equation:
% 14.00/3.74 | (595) e12 = e11
% 14.00/3.74 |
% 14.00/3.74 | Equations (595) can reduce 334 to:
% 14.00/3.74 | (424) $false
% 14.00/3.74 |
% 14.00/3.74 |-The branch is then unsatisfiable
% 14.00/3.74 |-Branch two:
% 14.00/3.74 | (613) all_0_144_144 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)
% 14.00/3.74 |
% 14.00/3.74 | Applying alpha-rule on (613) yields:
% 14.00/3.74 | (599) ~ (all_0_117_117 = e12)
% 14.00/3.74 | (615) all_0_144_144 = e11
% 14.00/3.74 | (600) ~ (all_0_118_118 = e11)
% 14.00/3.74 | (601) ~ (all_0_116_116 = e13)
% 14.00/3.74 | (603) ~ (all_0_119_119 = e10)
% 14.00/3.74 |
% 14.00/3.74 | Combining equations (615,719) yields a new equation:
% 14.00/3.74 | (841) e11 = e10
% 14.00/3.74 |
% 14.00/3.74 | Simplifying 841 yields:
% 14.00/3.74 | (833) e11 = e10
% 14.00/3.74 |
% 14.00/3.74 | Equations (833) can reduce 317 to:
% 14.00/3.74 | (424) $false
% 14.00/3.74 |
% 14.00/3.74 |-The branch is then unsatisfiable
% 14.00/3.74 |-Branch two:
% 14.00/3.74 | (622) all_0_145_145 = e11 & all_0_148_148 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)
% 14.00/3.74 |
% 14.00/3.74 | Applying alpha-rule on (622) yields:
% 14.00/3.74 | (623) all_0_145_145 = e11
% 14.00/3.74 | (599) ~ (all_0_117_117 = e12)
% 14.00/3.74 | (600) ~ (all_0_118_118 = e11)
% 14.00/3.74 | (601) ~ (all_0_116_116 = e13)
% 14.00/3.74 | (627) all_0_148_148 = e11
% 14.00/3.74 | (603) ~ (all_0_119_119 = e10)
% 14.00/3.74 |
% 14.00/3.74 | Combining equations (774,627) yields a new equation:
% 14.00/3.74 | (851) e13 = e11
% 14.00/3.74 |
% 14.00/3.74 | Simplifying 851 yields:
% 14.00/3.74 | (852) e13 = e11
% 14.00/3.74 |
% 14.00/3.74 | Equations (852) can reduce 371 to:
% 14.00/3.74 | (424) $false
% 14.00/3.74 |
% 14.00/3.74 |-The branch is then unsatisfiable
% 14.00/3.74 |-Branch two:
% 14.00/3.74 | (630) ~ (all_0_120_120 = e13) & ~ (all_0_121_121 = e12) & ~ (all_0_122_122 = e11) & ~ (all_0_123_123 = e10) & (all_0_149_149 = e10 | (all_0_145_145 = e10 & all_0_148_148 = e10))
% 14.00/3.74 |
% 14.00/3.74 | Applying alpha-rule on (630) yields:
% 14.00/3.74 | (631) ~ (all_0_121_121 = e12)
% 14.00/3.74 | (632) ~ (all_0_120_120 = e13)
% 14.00/3.74 | (633) ~ (all_0_123_123 = e10)
% 14.00/3.74 | (634) ~ (all_0_122_122 = e11)
% 14.00/3.74 | (635) all_0_149_149 = e10 | (all_0_145_145 = e10 & all_0_148_148 = e10)
% 14.00/3.74 |
% 14.00/3.74 | Instantiating formula (114) with e10, e10, e10, all_0_123_123 and discharging atoms op1(e10, e10) = all_0_123_123, op1(e10, e10) = e10, yields:
% 14.00/3.74 | (1059) all_0_123_123 = e10
% 14.00/3.74 |
% 14.00/3.74 | Equations (1059) can reduce 633 to:
% 14.00/3.74 | (424) $false
% 14.00/3.74 |
% 14.00/3.74 |-The branch is then unsatisfiable
% 14.23/3.74 |-Branch two:
% 14.23/3.74 | (565) ~ (all_0_141_141 = e12)
% 14.23/3.74 | (758) all_0_141_141 = e11 | all_0_141_141 = e10
% 14.23/3.74 |
% 14.23/3.74 +-Applying beta-rule and splitting (361), into two cases.
% 14.23/3.74 |-Branch one:
% 14.23/3.74 | (561) all_0_138_138 = e12
% 14.23/3.74 |
% 14.23/3.74 | Combining equations (582,561) yields a new equation:
% 14.23/3.74 | (585) e13 = e12
% 14.23/3.74 |
% 14.23/3.74 | Simplifying 585 yields:
% 14.23/3.74 | (586) e13 = e12
% 14.23/3.74 |
% 14.23/3.74 | Equations (586) can reduce 308 to:
% 14.23/3.74 | (424) $false
% 14.23/3.74 |
% 14.23/3.74 |-The branch is then unsatisfiable
% 14.23/3.74 |-Branch two:
% 14.23/3.74 | (1067) ~ (all_0_138_138 = e12)
% 14.23/3.74 | (1068) all_0_141_141 = e12 | all_0_145_145 = e12 | all_0_149_149 = e12
% 14.23/3.74 |
% 14.23/3.74 +-Applying beta-rule and splitting (1068), into two cases.
% 14.23/3.74 |-Branch one:
% 14.23/3.74 | (610) all_0_141_141 = e12
% 14.23/3.74 |
% 14.23/3.74 | Equations (610) can reduce 565 to:
% 14.23/3.74 | (424) $false
% 14.23/3.74 |
% 14.23/3.74 |-The branch is then unsatisfiable
% 14.23/3.74 |-Branch two:
% 14.23/3.74 | (565) ~ (all_0_141_141 = e12)
% 14.23/3.74 | (1072) all_0_145_145 = e12 | all_0_149_149 = e12
% 14.23/3.74 |
% 14.23/3.74 +-Applying beta-rule and splitting (1072), into two cases.
% 14.23/3.74 |-Branch one:
% 14.23/3.74 | (745) all_0_145_145 = e12
% 14.23/3.74 |
% 14.23/3.74 | Equations (745) can reduce 660 to:
% 14.23/3.74 | (424) $false
% 14.23/3.74 |
% 14.23/3.74 |-The branch is then unsatisfiable
% 14.23/3.74 |-Branch two:
% 14.23/3.74 | (660) ~ (all_0_145_145 = e12)
% 14.23/3.74 | (645) all_0_149_149 = e12
% 14.23/3.74 |
% 14.23/3.74 | Equations (645) can reduce 540 to:
% 14.23/3.74 | (424) $false
% 14.23/3.74 |
% 14.23/3.74 |-The branch is then unsatisfiable
% 14.23/3.74 |-Branch two:
% 14.23/3.74 | (884) ~ (all_0_144_144 = e10)
% 14.23/3.74 | (767) all_0_148_148 = e10
% 14.23/3.74 |
% 14.23/3.74 | Combining equations (767,774) yields a new equation:
% 14.23/3.74 | (801) e13 = e10
% 14.23/3.74 |
% 14.23/3.74 | Equations (801) can reduce 209 to:
% 14.23/3.74 | (424) $false
% 14.23/3.74 |
% 14.23/3.74 |-The branch is then unsatisfiable
% 14.23/3.74 |-Branch two:
% 14.23/3.74 | (1082) ~ (all_0_148_148 = e13)
% 14.23/3.74 | (1083) all_0_149_149 = e13
% 14.23/3.74 |
% 14.23/3.74 | Equations (1083) can reduce 689 to:
% 14.23/3.74 | (424) $false
% 14.23/3.74 |
% 14.23/3.74 |-The branch is then unsatisfiable
% 14.23/3.75 |-Branch two:
% 14.23/3.75 | (555) ~ (all_0_137_137 = e12)
% 14.23/3.75 | (570) all_0_137_137 = e13
% 14.23/3.75 |
% 14.23/3.75 | Equations (570) can reduce 207 to:
% 14.23/3.75 | (1087) ~ (all_0_138_138 = e13)
% 14.23/3.75 |
% 14.23/3.75 | Simplifying 1087 yields:
% 14.23/3.75 | (715) ~ (all_0_138_138 = e13)
% 14.23/3.75 |
% 14.23/3.75 | Equations (570) can reduce 36 to:
% 14.23/3.75 | (1089) ~ (all_0_140_140 = e13)
% 14.23/3.75 |
% 14.23/3.75 | Simplifying 1089 yields:
% 14.23/3.75 | (271) ~ (all_0_140_140 = e13)
% 14.23/3.75 |
% 14.23/3.75 | Equations (570) can reduce 192 to:
% 14.23/3.75 | (1091) ~ (all_0_148_148 = e13)
% 14.23/3.75 |
% 14.23/3.75 | Simplifying 1091 yields:
% 14.23/3.75 | (1082) ~ (all_0_148_148 = e13)
% 14.23/3.75 |
% 14.23/3.75 | From (570) and (326) follows:
% 14.23/3.75 | (1093) h3(e13) = all_0_25_25
% 14.23/3.75 |
% 14.23/3.75 +-Applying beta-rule and splitting (32), into two cases.
% 14.23/3.75 |-Branch one:
% 14.23/3.75 | (561) all_0_138_138 = e12
% 14.23/3.75 |
% 14.23/3.75 | Equations (561) can reduce 96 to:
% 14.23/3.75 | (564) ~ (all_0_141_141 = e12)
% 14.23/3.75 |
% 14.23/3.75 | Simplifying 564 yields:
% 14.23/3.75 | (565) ~ (all_0_141_141 = e12)
% 14.23/3.75 |
% 14.23/3.75 | Equations (561) can reduce 378 to:
% 14.23/3.75 | (334) ~ (e12 = e11)
% 14.23/3.75 |
% 14.23/3.75 | From (561) and (357) follows:
% 14.23/3.75 | (1098) h3(e12) = all_0_26_26
% 14.23/3.75 |
% 14.23/3.75 | Instantiating formula (274) with e13, all_0_25_25, e23 and discharging atoms h3(e13) = all_0_25_25, h3(e13) = e23, yields:
% 14.23/3.75 | (1099) all_0_25_25 = e23
% 14.23/3.75 |
% 14.23/3.75 | Instantiating formula (274) with e12, all_0_26_26, e22 and discharging atoms h3(e12) = all_0_26_26, h3(e12) = e22, yields:
% 14.23/3.75 | (1100) all_0_26_26 = e22
% 14.23/3.75 |
% 14.23/3.75 | From (1099) and (1093) follows:
% 14.23/3.75 | (7) h3(e13) = e23
% 14.23/3.75 |
% 14.23/3.75 | From (1100) and (1098) follows:
% 14.23/3.75 | (229) h3(e12) = e22
% 14.23/3.75 |
% 14.23/3.75 +-Applying beta-rule and splitting (215), into two cases.
% 14.23/3.75 |-Branch one:
% 14.23/3.75 | (446) all_0_124_124 = e22
% 14.23/3.75 |
% 14.23/3.75 | Equations (446) can reduce 366 to:
% 14.23/3.75 | (1104) ~ (all_0_127_127 = e22)
% 14.23/3.75 |
% 14.23/3.75 | Simplifying 1104 yields:
% 14.23/3.75 | (1105) ~ (all_0_127_127 = e22)
% 14.23/3.75 |
% 14.23/3.75 +-Applying beta-rule and splitting (124), into two cases.
% 14.23/3.75 |-Branch one:
% 14.23/3.75 | (468) all_0_127_127 = e20
% 14.23/3.75 |
% 14.23/3.75 | Equations (468) can reduce 413 to:
% 14.23/3.75 | (424) $false
% 14.23/3.75 |
% 14.23/3.75 |-The branch is then unsatisfiable
% 14.23/3.75 |-Branch two:
% 14.23/3.75 | (413) ~ (all_0_127_127 = e20)
% 14.23/3.75 | (1109) all_0_127_127 = e22 | all_0_127_127 = e21
% 14.23/3.75 |
% 14.23/3.75 +-Applying beta-rule and splitting (1109), into two cases.
% 14.23/3.75 |-Branch one:
% 14.23/3.75 | (1110) all_0_127_127 = e21
% 14.23/3.75 |
% 14.23/3.75 | Equations (1110) can reduce 289 to:
% 14.23/3.75 | (1111) ~ (all_0_128_128 = e21)
% 14.23/3.75 |
% 14.23/3.75 | Simplifying 1111 yields:
% 14.23/3.75 | (1112) ~ (all_0_128_128 = e21)
% 14.23/3.75 |
% 14.23/3.75 | Equations (1110) can reduce 159 to:
% 14.23/3.75 | (1113) ~ (all_0_131_131 = e21)
% 14.23/3.75 |
% 14.23/3.75 | Simplifying 1113 yields:
% 14.23/3.75 | (1114) ~ (all_0_131_131 = e21)
% 14.23/3.75 |
% 14.23/3.75 +-Applying beta-rule and splitting (268), into two cases.
% 14.23/3.75 |-Branch one:
% 14.23/3.75 | (1115) all_0_128_128 = e20
% 14.23/3.75 |
% 14.23/3.75 | Equations (1115) can reduce 415 to:
% 14.23/3.75 | (424) $false
% 14.23/3.75 |
% 14.23/3.75 |-The branch is then unsatisfiable
% 14.23/3.75 |-Branch two:
% 14.23/3.75 | (415) ~ (all_0_128_128 = e20)
% 14.23/3.75 | (1118) all_0_128_128 = e22 | all_0_128_128 = e21
% 14.23/3.75 |
% 14.23/3.75 +-Applying beta-rule and splitting (1118), into two cases.
% 14.23/3.75 |-Branch one:
% 14.23/3.75 | (1119) all_0_128_128 = e21
% 14.23/3.75 |
% 14.23/3.75 | Equations (1119) can reduce 1112 to:
% 14.23/3.75 | (424) $false
% 14.23/3.75 |
% 14.23/3.75 |-The branch is then unsatisfiable
% 14.23/3.75 |-Branch two:
% 14.23/3.75 | (1112) ~ (all_0_128_128 = e21)
% 14.23/3.75 | (1122) all_0_128_128 = e22
% 14.23/3.75 |
% 14.23/3.75 | Equations (1122) can reduce 60 to:
% 14.23/3.75 | (492) ~ (all_0_125_125 = e22)
% 14.23/3.75 |
% 14.23/3.75 | Equations (1122) can reduce 259 to:
% 14.23/3.75 | (1124) ~ (all_0_132_132 = e22)
% 14.23/3.75 |
% 14.23/3.75 | Simplifying 1124 yields:
% 14.23/3.75 | (1125) ~ (all_0_132_132 = e22)
% 14.23/3.75 |
% 14.23/3.75 | Equations (1122) can reduce 162 to:
% 14.23/3.75 | (465) ~ (e23 = e22)
% 14.23/3.75 |
% 14.23/3.75 | Simplifying 465 yields:
% 14.23/3.75 | (38) ~ (e23 = e22)
% 14.23/3.75 |
% 14.23/3.75 | Equations (1122) can reduce 1112 to:
% 14.23/3.75 | (257) ~ (e22 = e21)
% 14.23/3.75 |
% 14.23/3.75 | Equations (1122) can reduce 415 to:
% 14.23/3.75 | (125) ~ (e22 = e20)
% 14.23/3.75 |
% 14.23/3.75 +-Applying beta-rule and splitting (222), into two cases.
% 14.23/3.75 |-Branch one:
% 14.23/3.75 | (449) all_0_124_124 = e23
% 14.23/3.75 |
% 14.23/3.75 | Combining equations (446,449) yields a new equation:
% 14.23/3.75 | (485) e23 = e22
% 14.23/3.75 |
% 14.23/3.75 | Equations (485) can reduce 38 to:
% 14.23/3.75 | (424) $false
% 14.23/3.75 |
% 14.23/3.75 |-The branch is then unsatisfiable
% 14.23/3.75 |-Branch two:
% 14.23/3.75 | (1133) ~ (all_0_124_124 = e23)
% 14.23/3.75 | (1134) all_0_131_131 = e23 | all_0_135_135 = e23
% 14.23/3.75 |
% 14.23/3.75 +-Applying beta-rule and splitting (1134), into two cases.
% 14.23/3.75 |-Branch one:
% 14.23/3.75 | (483) all_0_131_131 = e23
% 14.23/3.75 |
% 14.23/3.75 | Equations (483) can reduce 487 to:
% 14.23/3.75 | (424) $false
% 14.23/3.75 |
% 14.23/3.75 |-The branch is then unsatisfiable
% 14.23/3.75 |-Branch two:
% 14.23/3.75 | (487) ~ (all_0_131_131 = e23)
% 14.23/3.75 | (1138) all_0_135_135 = e23
% 14.23/3.75 |
% 14.23/3.75 +-Applying beta-rule and splitting (90), into two cases.
% 14.23/3.75 |-Branch one:
% 14.23/3.75 | (464) all_0_125_125 = e22
% 14.23/3.75 |
% 14.23/3.75 | Equations (464) can reduce 492 to:
% 14.23/3.75 | (424) $false
% 14.23/3.75 |
% 14.23/3.75 |-The branch is then unsatisfiable
% 14.23/3.75 |-Branch two:
% 14.23/3.75 | (492) ~ (all_0_125_125 = e22)
% 14.23/3.75 | (493) all_0_125_125 = e23
% 14.23/3.75 |
% 14.23/3.75 | Equations (493) can reduce 282 to:
% 14.29/3.75 | (1143) ~ (all_0_132_132 = e23)
% 14.29/3.75 |
% 14.29/3.76 | Simplifying 1143 yields:
% 14.29/3.76 | (1144) ~ (all_0_132_132 = e23)
% 14.29/3.76 |
% 14.29/3.76 | Equations (493) can reduce 277 to:
% 14.29/3.76 | (1145) ~ (all_0_136_136 = e23)
% 14.29/3.76 |
% 14.29/3.76 | Simplifying 1145 yields:
% 14.29/3.76 | (1146) ~ (all_0_136_136 = e23)
% 14.29/3.76 |
% 14.29/3.76 | Equations (493) can reduce 492 to:
% 14.29/3.76 | (38) ~ (e23 = e22)
% 14.29/3.76 |
% 14.29/3.76 | Equations (493) can reduce 200 to:
% 14.29/3.76 | (288) ~ (e23 = e20)
% 14.29/3.76 |
% 14.29/3.76 +-Applying beta-rule and splitting (71), into two cases.
% 14.29/3.76 |-Branch one:
% 14.29/3.76 | (431) all_0_133_133 = e20
% 14.29/3.76 |
% 14.29/3.76 | Combining equations (431,435) yields a new equation:
% 14.29/3.76 | (459) e22 = e20
% 14.29/3.76 |
% 14.29/3.76 | Equations (459) can reduce 125 to:
% 14.29/3.76 | (424) $false
% 14.29/3.76 |
% 14.29/3.76 |-The branch is then unsatisfiable
% 14.29/3.76 |-Branch two:
% 14.29/3.76 | (419) ~ (all_0_133_133 = e20)
% 14.29/3.76 | (1153) all_0_135_135 = e20 | all_0_136_136 = e20
% 14.29/3.76 |
% 14.29/3.76 +-Applying beta-rule and splitting (1153), into two cases.
% 14.29/3.76 |-Branch one:
% 14.29/3.76 | (476) all_0_135_135 = e20
% 14.29/3.76 |
% 14.29/3.76 | Combining equations (1138,476) yields a new equation:
% 14.29/3.76 | (489) e23 = e20
% 14.29/3.76 |
% 14.29/3.76 | Simplifying 489 yields:
% 14.29/3.76 | (490) e23 = e20
% 14.29/3.76 |
% 14.29/3.76 | Equations (490) can reduce 288 to:
% 14.29/3.76 | (424) $false
% 14.29/3.76 |
% 14.29/3.76 |-The branch is then unsatisfiable
% 14.29/3.76 |-Branch two:
% 14.29/3.76 | (1158) ~ (all_0_135_135 = e20)
% 14.29/3.76 | (1159) all_0_136_136 = e20
% 14.29/3.76 |
% 14.29/3.76 | Equations (1159) can reduce 1146 to:
% 14.29/3.76 | (477) ~ (e23 = e20)
% 14.29/3.76 |
% 14.29/3.76 | Simplifying 477 yields:
% 14.29/3.76 | (288) ~ (e23 = e20)
% 14.29/3.76 |
% 14.29/3.76 | Equations (1159) can reduce 504 to:
% 14.29/3.76 | (1162) ~ (e21 = e20)
% 14.29/3.76 |
% 14.29/3.76 | Simplifying 1162 yields:
% 14.29/3.76 | (348) ~ (e21 = e20)
% 14.29/3.76 |
% 14.29/3.76 | From (1159)(1159) and (59) follows:
% 14.29/3.76 | (1164) op2(e20, e20) = all_0_96_96
% 14.29/3.76 |
% 14.29/3.76 | From (1159) and (281) follows:
% 14.29/3.76 | (1165) op2(e20, e20) = all_0_97_97
% 14.29/3.76 |
% 14.29/3.76 | From (1159) and (104) follows:
% 14.29/3.76 | (1166) op2(e20, e20) = all_0_110_110
% 14.29/3.76 |
% 14.29/3.76 | From (1159) and (298) follows:
% 14.29/3.76 | (1167) op2(e20, e20) = e20
% 14.29/3.76 |
% 14.29/3.76 +-Applying beta-rule and splitting (69), into two cases.
% 14.29/3.76 |-Branch one:
% 14.29/3.76 | (468) all_0_127_127 = e20
% 14.29/3.76 |
% 14.29/3.76 | Combining equations (1110,468) yields a new equation:
% 14.29/3.76 | (1169) e21 = e20
% 14.29/3.76 |
% 14.29/3.76 | Simplifying 1169 yields:
% 14.29/3.76 | (1170) e21 = e20
% 14.29/3.76 |
% 14.29/3.76 | Equations (1170) can reduce 348 to:
% 14.29/3.76 | (424) $false
% 14.29/3.76 |
% 14.29/3.76 |-The branch is then unsatisfiable
% 14.29/3.76 |-Branch two:
% 14.29/3.76 | (413) ~ (all_0_127_127 = e20)
% 14.29/3.76 | (471) all_0_131_131 = e20 | all_0_135_135 = e20
% 14.29/3.76 |
% 14.29/3.76 +-Applying beta-rule and splitting (471), into two cases.
% 14.29/3.76 |-Branch one:
% 14.29/3.76 | (458) all_0_131_131 = e20
% 14.29/3.76 |
% 14.29/3.76 | Equations (458) can reduce 31 to:
% 14.29/3.76 | (1175) ~ (all_0_132_132 = e20)
% 14.29/3.76 |
% 14.29/3.76 | Simplifying 1175 yields:
% 14.29/3.76 | (1176) ~ (all_0_132_132 = e20)
% 14.29/3.76 |
% 14.29/3.76 | Equations (458) can reduce 1114 to:
% 14.29/3.76 | (1162) ~ (e21 = e20)
% 14.29/3.76 |
% 14.29/3.76 | Simplifying 1162 yields:
% 14.29/3.76 | (348) ~ (e21 = e20)
% 14.29/3.76 |
% 14.29/3.76 | From (458)(458) and (164) follows:
% 14.29/3.76 | (1179) op2(e20, e20) = all_0_94_94
% 14.29/3.76 |
% 14.29/3.76 +-Applying beta-rule and splitting (368), into two cases.
% 14.29/3.76 |-Branch one:
% 14.29/3.76 | (1119) all_0_128_128 = e21
% 14.29/3.76 |
% 14.29/3.76 | Combining equations (1122,1119) yields a new equation:
% 14.29/3.76 | (1181) e22 = e21
% 14.29/3.76 |
% 14.29/3.76 | Simplifying 1181 yields:
% 14.29/3.76 | (1182) e22 = e21
% 14.29/3.76 |
% 14.29/3.76 | Equations (1182) can reduce 257 to:
% 14.29/3.76 | (424) $false
% 14.29/3.76 |
% 14.29/3.76 |-The branch is then unsatisfiable
% 14.29/3.76 |-Branch two:
% 14.29/3.76 | (1112) ~ (all_0_128_128 = e21)
% 14.29/3.76 | (1185) all_0_132_132 = e21 | all_0_136_136 = e21
% 14.29/3.76 |
% 14.29/3.76 +-Applying beta-rule and splitting (1185), into two cases.
% 14.29/3.76 |-Branch one:
% 14.29/3.76 | (1186) all_0_132_132 = e21
% 14.29/3.76 |
% 14.29/3.76 | Equations (1186) can reduce 1144 to:
% 14.29/3.76 | (1187) ~ (e23 = e21)
% 14.29/3.76 |
% 14.29/3.76 | Simplifying 1187 yields:
% 14.29/3.76 | (296) ~ (e23 = e21)
% 14.29/3.76 |
% 14.29/3.76 | Equations (1186) can reduce 1125 to:
% 14.29/3.76 | (1189) ~ (e22 = e21)
% 14.29/3.76 |
% 14.29/3.76 | Simplifying 1189 yields:
% 14.29/3.76 | (257) ~ (e22 = e21)
% 14.29/3.76 |
% 14.29/3.76 | Equations (1186) can reduce 1176 to:
% 14.29/3.76 | (348) ~ (e21 = e20)
% 14.29/3.76 |
% 14.29/3.76 +-Applying beta-rule and splitting (109), into two cases.
% 14.29/3.76 |-Branch one:
% 14.29/3.76 | (1192) (all_0_125_125 = e23 & all_0_133_133 = e23 & ~ (all_0_98_98 = e21) & ~ (all_0_99_99 = e20) & ~ (all_0_124_124 = e23)) | (all_0_127_127 = e22 & all_0_130_130 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)) | (all_0_127_127 = e21 & all_0_130_130 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)) | (all_0_128_128 = e22 & all_0_134_134 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)) | (all_0_131_131 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)) | (all_0_132_132 = e21 & all_0_135_135 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20))
% 14.29/3.77 |
% 14.29/3.77 +-Applying beta-rule and splitting (1192), into two cases.
% 14.29/3.77 |-Branch one:
% 14.29/3.77 | (1193) (all_0_125_125 = e23 & all_0_133_133 = e23 & ~ (all_0_98_98 = e21) & ~ (all_0_99_99 = e20) & ~ (all_0_124_124 = e23)) | (all_0_127_127 = e22 & all_0_130_130 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)) | (all_0_127_127 = e21 & all_0_130_130 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)) | (all_0_128_128 = e22 & all_0_134_134 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)) | (all_0_131_131 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20))
% 14.29/3.77 |
% 14.29/3.77 +-Applying beta-rule and splitting (1193), into two cases.
% 14.29/3.77 |-Branch one:
% 14.29/3.77 | (1194) (all_0_125_125 = e23 & all_0_133_133 = e23 & ~ (all_0_98_98 = e21) & ~ (all_0_99_99 = e20) & ~ (all_0_124_124 = e23)) | (all_0_127_127 = e22 & all_0_130_130 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)) | (all_0_127_127 = e21 & all_0_130_130 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)) | (all_0_128_128 = e22 & all_0_134_134 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22))
% 14.29/3.77 |
% 14.29/3.77 +-Applying beta-rule and splitting (1194), into two cases.
% 14.29/3.77 |-Branch one:
% 14.29/3.77 | (1195) (all_0_125_125 = e23 & all_0_133_133 = e23 & ~ (all_0_98_98 = e21) & ~ (all_0_99_99 = e20) & ~ (all_0_124_124 = e23)) | (all_0_127_127 = e22 & all_0_130_130 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)) | (all_0_127_127 = e21 & all_0_130_130 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20))
% 14.29/3.77 |
% 14.29/3.77 +-Applying beta-rule and splitting (1195), into two cases.
% 14.29/3.77 |-Branch one:
% 14.29/3.77 | (1196) (all_0_125_125 = e23 & all_0_133_133 = e23 & ~ (all_0_98_98 = e21) & ~ (all_0_99_99 = e20) & ~ (all_0_124_124 = e23)) | (all_0_127_127 = e22 & all_0_130_130 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22))
% 14.29/3.77 |
% 14.29/3.77 +-Applying beta-rule and splitting (1196), into two cases.
% 14.29/3.77 |-Branch one:
% 14.29/3.77 | (1197) all_0_125_125 = e23 & all_0_133_133 = e23 & ~ (all_0_98_98 = e21) & ~ (all_0_99_99 = e20) & ~ (all_0_124_124 = e23)
% 14.29/3.77 |
% 14.29/3.77 | Applying alpha-rule on (1197) yields:
% 14.29/3.77 | (1198) ~ (all_0_98_98 = e21)
% 14.29/3.77 | (1199) ~ (all_0_99_99 = e20)
% 14.29/3.77 | (438) all_0_133_133 = e23
% 14.29/3.77 | (493) all_0_125_125 = e23
% 14.29/3.77 | (1133) ~ (all_0_124_124 = e23)
% 14.29/3.77 |
% 14.29/3.77 | Combining equations (435,438) yields a new equation:
% 14.29/3.77 | (485) e23 = e22
% 14.29/3.77 |
% 14.29/3.77 | Equations (485) can reduce 38 to:
% 14.29/3.77 | (424) $false
% 14.29/3.77 |
% 14.29/3.77 |-The branch is then unsatisfiable
% 14.29/3.77 |-Branch two:
% 14.29/3.77 | (1205) all_0_127_127 = e22 & all_0_130_130 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)
% 14.29/3.77 |
% 14.29/3.77 | Applying alpha-rule on (1205) yields:
% 14.29/3.77 | (1206) ~ (all_0_100_100 = e23)
% 14.29/3.77 | (1207) all_0_127_127 = e22
% 14.29/3.77 | (1208) ~ (all_0_102_102 = e20)
% 14.29/3.77 | (1209) ~ (all_0_101_101 = e21)
% 14.29/3.77 | (518) ~ (all_0_126_126 = e22)
% 14.29/3.77 | (508) all_0_130_130 = e22
% 14.29/3.77 |
% 14.29/3.77 | Combining equations (1207,1110) yields a new equation:
% 14.29/3.77 | (1181) e22 = e21
% 14.29/3.77 |
% 14.29/3.77 | Simplifying 1181 yields:
% 14.29/3.77 | (1182) e22 = e21
% 14.29/3.77 |
% 14.29/3.77 | Equations (1182) can reduce 257 to:
% 14.29/3.77 | (424) $false
% 14.29/3.77 |
% 14.29/3.77 |-The branch is then unsatisfiable
% 14.29/3.77 |-Branch two:
% 14.29/3.77 | (1215) all_0_127_127 = e21 & all_0_130_130 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)
% 14.29/3.77 |
% 14.29/3.77 | Applying alpha-rule on (1215) yields:
% 14.29/3.77 | (1216) ~ (all_0_104_104 = e22)
% 14.29/3.77 | (1110) all_0_127_127 = e21
% 14.29/3.77 | (1218) ~ (all_0_106_106 = e20)
% 14.29/3.77 | (1219) ~ (all_0_105_105 = e21)
% 14.29/3.77 | (420) all_0_130_130 = e21
% 14.29/3.77 | (1221) ~ (all_0_103_103 = e23)
% 14.29/3.77 |
% 14.29/3.77 | Combining equations (420,508) yields a new equation:
% 14.29/3.77 | (1182) e22 = e21
% 14.29/3.77 |
% 14.29/3.77 | Equations (1182) can reduce 257 to:
% 14.29/3.77 | (424) $false
% 14.29/3.77 |
% 14.29/3.77 |-The branch is then unsatisfiable
% 14.29/3.77 |-Branch two:
% 14.29/3.77 | (1224) all_0_128_128 = e22 & all_0_134_134 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)
% 14.29/3.77 |
% 14.29/3.77 | Applying alpha-rule on (1224) yields:
% 14.29/3.77 | (1206) ~ (all_0_100_100 = e23)
% 14.29/3.77 | (426) all_0_134_134 = e22
% 14.29/3.77 | (1122) all_0_128_128 = e22
% 14.29/3.77 | (1208) ~ (all_0_102_102 = e20)
% 14.29/3.77 | (1209) ~ (all_0_101_101 = e21)
% 14.29/3.77 | (518) ~ (all_0_126_126 = e22)
% 14.29/3.77 |
% 14.29/3.77 | Combining equations (426,423) yields a new equation:
% 14.29/3.77 | (1181) e22 = e21
% 14.29/3.77 |
% 14.29/3.77 | Simplifying 1181 yields:
% 14.29/3.77 | (1182) e22 = e21
% 14.29/3.77 |
% 14.29/3.77 | Equations (1182) can reduce 257 to:
% 14.29/3.77 | (424) $false
% 14.29/3.77 |
% 14.29/3.77 |-The branch is then unsatisfiable
% 14.29/3.77 |-Branch two:
% 14.29/3.77 | (1234) all_0_131_131 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)
% 14.29/3.77 |
% 14.29/3.77 | Applying alpha-rule on (1234) yields:
% 14.29/3.77 | (1235) all_0_131_131 = e21
% 14.29/3.77 | (1216) ~ (all_0_104_104 = e22)
% 14.29/3.77 | (1218) ~ (all_0_106_106 = e20)
% 14.29/3.77 | (1219) ~ (all_0_105_105 = e21)
% 14.29/3.78 | (1221) ~ (all_0_103_103 = e23)
% 14.29/3.78 |
% 14.29/3.78 | Combining equations (1235,458) yields a new equation:
% 14.29/3.78 | (1169) e21 = e20
% 14.29/3.78 |
% 14.29/3.78 | Simplifying 1169 yields:
% 14.29/3.78 | (1170) e21 = e20
% 14.29/3.78 |
% 14.29/3.78 | Equations (1170) can reduce 348 to:
% 14.29/3.78 | (424) $false
% 14.29/3.78 |
% 14.29/3.78 |-The branch is then unsatisfiable
% 14.29/3.78 |-Branch two:
% 14.29/3.78 | (1243) all_0_132_132 = e21 & all_0_135_135 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)
% 14.29/3.78 |
% 14.29/3.78 | Applying alpha-rule on (1243) yields:
% 14.29/3.78 | (1244) all_0_135_135 = e21
% 14.29/3.78 | (1186) all_0_132_132 = e21
% 14.29/3.78 | (1216) ~ (all_0_104_104 = e22)
% 14.29/3.78 | (1218) ~ (all_0_106_106 = e20)
% 14.29/3.78 | (1219) ~ (all_0_105_105 = e21)
% 14.29/3.78 | (1221) ~ (all_0_103_103 = e23)
% 14.29/3.78 |
% 14.29/3.78 | Combining equations (1244,1138) yields a new equation:
% 14.29/3.78 | (1250) e23 = e21
% 14.29/3.78 |
% 14.29/3.78 | Equations (1250) can reduce 296 to:
% 14.29/3.78 | (424) $false
% 14.29/3.78 |
% 14.29/3.78 |-The branch is then unsatisfiable
% 14.29/3.78 |-Branch two:
% 14.29/3.78 | (1252) ~ (all_0_107_107 = e23) & ~ (all_0_108_108 = e22) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & (all_0_136_136 = e20 | (all_0_132_132 = e20 & all_0_135_135 = e20))
% 14.29/3.78 |
% 14.29/3.78 | Applying alpha-rule on (1252) yields:
% 14.29/3.78 | (1253) ~ (all_0_109_109 = e21)
% 14.29/3.78 | (1254) ~ (all_0_108_108 = e22)
% 14.29/3.78 | (1255) all_0_136_136 = e20 | (all_0_132_132 = e20 & all_0_135_135 = e20)
% 14.29/3.78 | (1256) ~ (all_0_110_110 = e20)
% 14.29/3.78 | (1257) ~ (all_0_107_107 = e23)
% 14.29/3.78 |
% 14.29/3.78 | Instantiating formula (272) with e20, e20, all_0_96_96, all_0_94_94 and discharging atoms op2(e20, e20) = all_0_94_94, op2(e20, e20) = all_0_96_96, yields:
% 14.29/3.78 | (1258) all_0_94_94 = all_0_96_96
% 14.29/3.78 |
% 14.29/3.78 | Instantiating formula (272) with e20, e20, all_0_97_97, all_0_96_96 and discharging atoms op2(e20, e20) = all_0_96_96, op2(e20, e20) = all_0_97_97, yields:
% 14.29/3.78 | (1259) all_0_96_96 = all_0_97_97
% 14.29/3.78 |
% 14.29/3.78 | Instantiating formula (272) with e20, e20, all_0_110_110, all_0_94_94 and discharging atoms op2(e20, e20) = all_0_94_94, op2(e20, e20) = all_0_110_110, yields:
% 14.29/3.78 | (1260) all_0_94_94 = all_0_110_110
% 14.29/3.78 |
% 14.29/3.78 | Instantiating formula (272) with e20, e20, e20, all_0_97_97 and discharging atoms op2(e20, e20) = all_0_97_97, op2(e20, e20) = e20, yields:
% 14.29/3.78 | (1261) all_0_97_97 = e20
% 14.29/3.78 |
% 14.29/3.78 | Combining equations (1258,1260) yields a new equation:
% 14.29/3.78 | (1262) all_0_96_96 = all_0_110_110
% 14.29/3.78 |
% 14.29/3.78 | Simplifying 1262 yields:
% 14.29/3.78 | (1263) all_0_96_96 = all_0_110_110
% 14.29/3.78 |
% 14.29/3.78 | Combining equations (1259,1263) yields a new equation:
% 14.29/3.78 | (1264) all_0_97_97 = all_0_110_110
% 14.29/3.78 |
% 14.29/3.78 | Simplifying 1264 yields:
% 14.29/3.78 | (1265) all_0_97_97 = all_0_110_110
% 14.29/3.78 |
% 14.29/3.78 | Combining equations (1265,1261) yields a new equation:
% 14.29/3.78 | (1266) all_0_110_110 = e20
% 14.29/3.78 |
% 14.29/3.78 | Simplifying 1266 yields:
% 14.29/3.78 | (1267) all_0_110_110 = e20
% 14.29/3.78 |
% 14.29/3.78 | Equations (1267) can reduce 1256 to:
% 14.29/3.78 | (424) $false
% 14.29/3.78 |
% 14.29/3.78 |-The branch is then unsatisfiable
% 14.29/3.78 |-Branch two:
% 14.29/3.78 | (1269) ~ (all_0_132_132 = e21)
% 14.29/3.78 | (1270) all_0_136_136 = e21
% 14.29/3.78 |
% 14.29/3.78 | Combining equations (1159,1270) yields a new equation:
% 14.29/3.78 | (1170) e21 = e20
% 14.29/3.78 |
% 14.29/3.78 | Equations (1170) can reduce 348 to:
% 14.29/3.78 | (424) $false
% 14.29/3.78 |
% 14.29/3.78 |-The branch is then unsatisfiable
% 14.29/3.78 |-Branch two:
% 14.29/3.78 | (461) ~ (all_0_131_131 = e20)
% 14.29/3.78 | (476) all_0_135_135 = e20
% 14.29/3.78 |
% 14.29/3.78 | Combining equations (476,1138) yields a new equation:
% 14.29/3.78 | (490) e23 = e20
% 14.29/3.78 |
% 14.29/3.78 | Equations (490) can reduce 288 to:
% 14.29/3.78 | (424) $false
% 14.29/3.78 |
% 14.29/3.78 |-The branch is then unsatisfiable
% 14.29/3.78 |-Branch two:
% 14.29/3.78 | (1277) ~ (all_0_127_127 = e21)
% 14.29/3.78 | (1207) all_0_127_127 = e22
% 14.29/3.78 |
% 14.29/3.78 | Equations (1207) can reduce 1105 to:
% 14.29/3.78 | (424) $false
% 14.29/3.78 |
% 14.29/3.78 |-The branch is then unsatisfiable
% 14.29/3.79 |-Branch two:
% 14.29/3.79 | (445) ~ (all_0_124_124 = e22)
% 14.29/3.79 | (464) all_0_125_125 = e22
% 14.29/3.79 |
% 14.29/3.79 | Equations (464) can reduce 60 to:
% 14.29/3.79 | (1282) ~ (all_0_128_128 = e22)
% 14.29/3.79 |
% 14.29/3.79 | Simplifying 1282 yields:
% 14.29/3.79 | (1283) ~ (all_0_128_128 = e22)
% 14.29/3.79 |
% 14.29/3.79 | Equations (464) can reduce 350 to:
% 14.29/3.79 | (257) ~ (e22 = e21)
% 14.29/3.79 |
% 14.29/3.79 | Equations (464) can reduce 200 to:
% 14.29/3.79 | (125) ~ (e22 = e20)
% 14.29/3.79 |
% 14.29/3.79 +-Applying beta-rule and splitting (279), into two cases.
% 14.29/3.79 |-Branch one:
% 14.29/3.79 | (515) all_0_126_126 = e22
% 14.29/3.79 |
% 14.29/3.79 | Combining equations (515,411) yields a new equation:
% 14.29/3.79 | (1287) e22 = e20
% 14.29/3.79 |
% 14.29/3.79 | Simplifying 1287 yields:
% 14.29/3.79 | (459) e22 = e20
% 14.29/3.79 |
% 14.29/3.79 | Equations (459) can reduce 125 to:
% 14.29/3.79 | (424) $false
% 14.29/3.79 |
% 14.29/3.79 |-The branch is then unsatisfiable
% 14.29/3.79 |-Branch two:
% 14.29/3.79 | (518) ~ (all_0_126_126 = e22)
% 14.29/3.79 | (1291) all_0_127_127 = e22 | all_0_128_128 = e22
% 14.29/3.79 |
% 14.29/3.79 +-Applying beta-rule and splitting (306), into two cases.
% 14.29/3.79 |-Branch one:
% 14.29/3.79 | (449) all_0_124_124 = e23
% 14.29/3.79 |
% 14.29/3.79 | Equations (449) can reduce 366 to:
% 14.29/3.79 | (1293) ~ (all_0_127_127 = e23)
% 14.29/3.79 |
% 14.29/3.79 | Simplifying 1293 yields:
% 14.29/3.79 | (292) ~ (all_0_127_127 = e23)
% 14.29/3.79 |
% 14.29/3.79 | Equations (449) can reduce 9 to:
% 14.29/3.79 | (452) ~ (all_0_135_135 = e23)
% 14.29/3.79 |
% 14.29/3.79 | Simplifying 452 yields:
% 14.29/3.79 | (453) ~ (all_0_135_135 = e23)
% 14.29/3.79 |
% 14.29/3.79 +-Applying beta-rule and splitting (1291), into two cases.
% 14.29/3.79 |-Branch one:
% 14.29/3.79 | (1207) all_0_127_127 = e22
% 14.29/3.79 |
% 14.29/3.79 | Equations (1207) can reduce 289 to:
% 14.29/3.79 | (1282) ~ (all_0_128_128 = e22)
% 14.29/3.79 |
% 14.29/3.79 | Simplifying 1282 yields:
% 14.29/3.79 | (1283) ~ (all_0_128_128 = e22)
% 14.29/3.79 |
% 14.29/3.79 | Equations (1207) can reduce 106 to:
% 14.29/3.79 | (1300) ~ (all_0_135_135 = e22)
% 14.29/3.79 |
% 14.29/3.79 | Simplifying 1300 yields:
% 14.29/3.79 | (1301) ~ (all_0_135_135 = e22)
% 14.29/3.79 |
% 14.29/3.79 | Equations (1207) can reduce 292 to:
% 14.29/3.79 | (465) ~ (e23 = e22)
% 14.29/3.79 |
% 14.29/3.79 | Simplifying 465 yields:
% 14.29/3.79 | (38) ~ (e23 = e22)
% 14.29/3.79 |
% 14.29/3.79 +-Applying beta-rule and splitting (304), into two cases.
% 14.29/3.79 |-Branch one:
% 14.29/3.79 | (1110) all_0_127_127 = e21
% 14.29/3.79 |
% 14.29/3.79 | Combining equations (1110,1207) yields a new equation:
% 14.29/3.79 | (1182) e22 = e21
% 14.29/3.79 |
% 14.29/3.79 | Equations (1182) can reduce 257 to:
% 14.29/3.79 | (424) $false
% 14.29/3.79 |
% 14.29/3.79 |-The branch is then unsatisfiable
% 14.29/3.79 |-Branch two:
% 14.29/3.79 | (1277) ~ (all_0_127_127 = e21)
% 14.29/3.79 | (1119) all_0_128_128 = e21
% 14.29/3.79 |
% 14.29/3.79 | Equations (1119) can reduce 259 to:
% 14.29/3.79 | (1309) ~ (all_0_132_132 = e21)
% 14.29/3.79 |
% 14.29/3.79 | Simplifying 1309 yields:
% 14.29/3.79 | (1269) ~ (all_0_132_132 = e21)
% 14.29/3.79 |
% 14.29/3.79 | Equations (1119) can reduce 1283 to:
% 14.29/3.79 | (1189) ~ (e22 = e21)
% 14.29/3.79 |
% 14.29/3.79 | Simplifying 1189 yields:
% 14.29/3.79 | (257) ~ (e22 = e21)
% 14.29/3.79 |
% 14.29/3.79 +-Applying beta-rule and splitting (254), into two cases.
% 14.29/3.79 |-Branch one:
% 14.29/3.79 | (476) all_0_135_135 = e20
% 14.29/3.79 |
% 14.29/3.79 | Equations (476) can reduce 240 to:
% 14.29/3.79 | (1314) ~ (all_0_136_136 = e20)
% 14.29/3.79 |
% 14.29/3.79 | Simplifying 1314 yields:
% 14.29/3.79 | (1315) ~ (all_0_136_136 = e20)
% 14.29/3.79 |
% 14.29/3.79 | Equations (476) can reduce 453 to:
% 14.29/3.79 | (477) ~ (e23 = e20)
% 14.29/3.79 |
% 14.29/3.79 | Simplifying 477 yields:
% 14.29/3.79 | (288) ~ (e23 = e20)
% 14.29/3.79 |
% 14.29/3.79 | Equations (476) can reduce 502 to:
% 14.29/3.79 | (1162) ~ (e21 = e20)
% 14.29/3.79 |
% 14.29/3.79 | Simplifying 1162 yields:
% 14.29/3.79 | (348) ~ (e21 = e20)
% 14.29/3.79 |
% 14.29/3.79 +-Applying beta-rule and splitting (342), into two cases.
% 14.29/3.79 |-Branch one:
% 14.29/3.79 | (438) all_0_133_133 = e23
% 14.29/3.79 |
% 14.29/3.79 | Combining equations (438,435) yields a new equation:
% 14.29/3.79 | (484) e23 = e22
% 14.29/3.79 |
% 14.29/3.79 | Simplifying 484 yields:
% 14.29/3.79 | (485) e23 = e22
% 14.29/3.79 |
% 14.29/3.79 | Equations (485) can reduce 38 to:
% 14.29/3.79 | (424) $false
% 14.29/3.79 |
% 14.29/3.79 |-The branch is then unsatisfiable
% 14.29/3.79 |-Branch two:
% 14.29/3.79 | (527) ~ (all_0_133_133 = e23)
% 14.29/3.79 | (1325) all_0_135_135 = e23 | all_0_136_136 = e23
% 14.29/3.79 |
% 14.29/3.79 +-Applying beta-rule and splitting (1325), into two cases.
% 14.29/3.79 |-Branch one:
% 14.29/3.79 | (1138) all_0_135_135 = e23
% 14.29/3.79 |
% 14.29/3.79 | Combining equations (476,1138) yields a new equation:
% 14.29/3.79 | (490) e23 = e20
% 14.29/3.79 |
% 14.29/3.79 | Equations (490) can reduce 288 to:
% 14.29/3.79 | (424) $false
% 14.29/3.79 |
% 14.29/3.79 |-The branch is then unsatisfiable
% 14.29/3.79 |-Branch two:
% 14.29/3.79 | (453) ~ (all_0_135_135 = e23)
% 14.29/3.79 | (1330) all_0_136_136 = e23
% 14.29/3.79 |
% 14.29/3.79 | Equations (1330) can reduce 1315 to:
% 14.29/3.79 | (288) ~ (e23 = e20)
% 14.29/3.79 |
% 14.29/3.79 +-Applying beta-rule and splitting (111), into two cases.
% 14.29/3.79 |-Branch one:
% 14.29/3.79 | (1115) all_0_128_128 = e20
% 14.29/3.79 |
% 14.29/3.79 | Combining equations (1119,1115) yields a new equation:
% 14.29/3.79 | (1169) e21 = e20
% 14.29/3.79 |
% 14.29/3.79 | Simplifying 1169 yields:
% 14.29/3.79 | (1170) e21 = e20
% 14.29/3.79 |
% 14.29/3.79 | Equations (1170) can reduce 348 to:
% 14.29/3.79 | (424) $false
% 14.29/3.79 |
% 14.29/3.79 |-The branch is then unsatisfiable
% 14.29/3.79 |-Branch two:
% 14.29/3.79 | (415) ~ (all_0_128_128 = e20)
% 14.29/3.79 | (1337) all_0_132_132 = e20 | all_0_136_136 = e20
% 14.29/3.79 |
% 14.29/3.79 +-Applying beta-rule and splitting (1337), into two cases.
% 14.29/3.79 |-Branch one:
% 14.29/3.79 | (462) all_0_132_132 = e20
% 14.29/3.79 |
% 14.29/3.79 | Equations (462) can reduce 1269 to:
% 14.29/3.79 | (1162) ~ (e21 = e20)
% 14.29/3.79 |
% 14.29/3.80 | Simplifying 1162 yields:
% 14.29/3.80 | (348) ~ (e21 = e20)
% 14.29/3.80 |
% 14.29/3.80 +-Applying beta-rule and splitting (43), into two cases.
% 14.29/3.80 |-Branch one:
% 14.29/3.80 | (1110) all_0_127_127 = e21
% 14.29/3.80 |
% 14.29/3.80 | Combining equations (1207,1110) yields a new equation:
% 14.29/3.80 | (1181) e22 = e21
% 14.29/3.80 |
% 14.29/3.80 | Simplifying 1181 yields:
% 14.29/3.80 | (1182) e22 = e21
% 14.29/3.80 |
% 14.29/3.80 | Equations (1182) can reduce 257 to:
% 14.29/3.80 | (424) $false
% 14.29/3.80 |
% 14.29/3.80 |-The branch is then unsatisfiable
% 14.29/3.80 |-Branch two:
% 14.29/3.80 | (1277) ~ (all_0_127_127 = e21)
% 14.29/3.80 | (1346) all_0_131_131 = e21 | all_0_135_135 = e21
% 14.29/3.80 |
% 14.29/3.80 +-Applying beta-rule and splitting (1346), into two cases.
% 14.29/3.80 |-Branch one:
% 14.29/3.80 | (1235) all_0_131_131 = e21
% 14.29/3.80 |
% 14.29/3.80 +-Applying beta-rule and splitting (312), into two cases.
% 14.29/3.80 |-Branch one:
% 14.29/3.80 | (563) all_0_139_139 = e12
% 14.29/3.80 |
% 14.29/3.80 | Equations (563) can reduce 149 to:
% 14.29/3.80 | (673) ~ (all_0_140_140 = e12)
% 14.29/3.80 |
% 14.29/3.80 | Simplifying 673 yields:
% 14.29/3.80 | (674) ~ (all_0_140_140 = e12)
% 14.29/3.80 |
% 14.29/3.80 | Equations (563) can reduce 47 to:
% 14.29/3.80 | (564) ~ (all_0_141_141 = e12)
% 14.29/3.80 |
% 14.29/3.80 | Simplifying 564 yields:
% 14.29/3.80 | (565) ~ (all_0_141_141 = e12)
% 14.29/3.80 |
% 14.29/3.80 | Equations (563) can reduce 15 to:
% 14.29/3.80 | (695) ~ (all_0_146_146 = e12)
% 14.29/3.80 |
% 14.29/3.80 | Simplifying 695 yields:
% 14.29/3.80 | (538) ~ (all_0_146_146 = e12)
% 14.29/3.80 |
% 14.29/3.80 | Equations (563) can reduce 265 to:
% 14.29/3.80 | (661) ~ (e13 = e12)
% 14.29/3.80 |
% 14.29/3.80 | Simplifying 661 yields:
% 14.29/3.80 | (308) ~ (e13 = e12)
% 14.29/3.80 |
% 14.29/3.80 | Equations (563) can reduce 391 to:
% 14.29/3.80 | (334) ~ (e12 = e11)
% 14.29/3.80 |
% 14.29/3.80 +-Applying beta-rule and splitting (120), into two cases.
% 14.29/3.80 |-Branch one:
% 14.29/3.80 | (574) (all_0_138_138 = e13 & all_0_146_146 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_112_112 = e10) & ~ (all_0_137_137 = e13)) | (all_0_140_140 = e12 & all_0_143_143 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)) | (all_0_140_140 = e11 & all_0_143_143 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)) | (all_0_141_141 = e12 & all_0_147_147 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)) | (all_0_144_144 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)) | (all_0_145_145 = e11 & all_0_148_148 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10))
% 14.29/3.80 |
% 14.29/3.80 +-Applying beta-rule and splitting (574), into two cases.
% 14.29/3.80 |-Branch one:
% 14.29/3.80 | (575) (all_0_138_138 = e13 & all_0_146_146 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_112_112 = e10) & ~ (all_0_137_137 = e13)) | (all_0_140_140 = e12 & all_0_143_143 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)) | (all_0_140_140 = e11 & all_0_143_143 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)) | (all_0_141_141 = e12 & all_0_147_147 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)) | (all_0_144_144 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10))
% 14.29/3.80 |
% 14.29/3.80 +-Applying beta-rule and splitting (575), into two cases.
% 14.29/3.80 |-Branch one:
% 14.29/3.80 | (576) (all_0_138_138 = e13 & all_0_146_146 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_112_112 = e10) & ~ (all_0_137_137 = e13)) | (all_0_140_140 = e12 & all_0_143_143 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)) | (all_0_140_140 = e11 & all_0_143_143 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)) | (all_0_141_141 = e12 & all_0_147_147 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12))
% 14.29/3.80 |
% 14.29/3.80 +-Applying beta-rule and splitting (576), into two cases.
% 14.29/3.80 |-Branch one:
% 14.29/3.80 | (577) (all_0_138_138 = e13 & all_0_146_146 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_112_112 = e10) & ~ (all_0_137_137 = e13)) | (all_0_140_140 = e12 & all_0_143_143 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)) | (all_0_140_140 = e11 & all_0_143_143 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10))
% 14.29/3.80 |
% 14.29/3.80 +-Applying beta-rule and splitting (577), into two cases.
% 14.29/3.80 |-Branch one:
% 14.29/3.80 | (578) (all_0_138_138 = e13 & all_0_146_146 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_112_112 = e10) & ~ (all_0_137_137 = e13)) | (all_0_140_140 = e12 & all_0_143_143 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12))
% 14.29/3.80 |
% 14.29/3.80 +-Applying beta-rule and splitting (578), into two cases.
% 14.29/3.80 |-Branch one:
% 14.29/3.80 | (579) all_0_138_138 = e13 & all_0_146_146 = e13 & ~ (all_0_111_111 = e11) & ~ (all_0_112_112 = e10) & ~ (all_0_137_137 = e13)
% 14.29/3.80 |
% 14.29/3.80 | Applying alpha-rule on (579) yields:
% 14.29/3.80 | (580) ~ (all_0_137_137 = e13)
% 14.29/3.80 | (581) ~ (all_0_112_112 = e10)
% 14.29/3.80 | (582) all_0_138_138 = e13
% 14.29/3.80 | (583) all_0_146_146 = e13
% 14.29/3.80 | (584) ~ (all_0_111_111 = e11)
% 14.29/3.80 |
% 14.29/3.80 | Combining equations (582,561) yields a new equation:
% 14.29/3.80 | (585) e13 = e12
% 14.29/3.80 |
% 14.29/3.80 | Simplifying 585 yields:
% 14.29/3.80 | (586) e13 = e12
% 14.29/3.80 |
% 14.29/3.80 | Equations (586) can reduce 308 to:
% 14.29/3.80 | (424) $false
% 14.29/3.80 |
% 14.29/3.80 |-The branch is then unsatisfiable
% 14.29/3.80 |-Branch two:
% 14.29/3.80 | (588) all_0_140_140 = e12 & all_0_143_143 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)
% 14.29/3.80 |
% 14.29/3.80 | Applying alpha-rule on (588) yields:
% 14.29/3.80 | (543) all_0_143_143 = e12
% 14.29/3.80 | (590) ~ (all_0_113_113 = e13)
% 14.29/3.80 | (591) ~ (all_0_139_139 = e12)
% 14.29/3.80 | (592) all_0_140_140 = e12
% 14.29/3.80 | (593) ~ (all_0_114_114 = e11)
% 14.29/3.80 | (594) ~ (all_0_115_115 = e10)
% 14.29/3.80 |
% 14.29/3.80 | Equations (592) can reduce 674 to:
% 14.29/3.80 | (424) $false
% 14.29/3.80 |
% 14.29/3.80 |-The branch is then unsatisfiable
% 14.29/3.80 |-Branch two:
% 14.29/3.80 | (597) all_0_140_140 = e11 & all_0_143_143 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)
% 14.29/3.80 |
% 14.29/3.80 | Applying alpha-rule on (597) yields:
% 14.29/3.80 | (546) all_0_143_143 = e11
% 14.29/3.80 | (599) ~ (all_0_117_117 = e12)
% 14.29/3.80 | (600) ~ (all_0_118_118 = e11)
% 14.29/3.80 | (601) ~ (all_0_116_116 = e13)
% 14.29/3.80 | (602) all_0_140_140 = e11
% 14.29/3.80 | (603) ~ (all_0_119_119 = e10)
% 14.29/3.80 |
% 14.29/3.80 | Combining equations (546,543) yields a new equation:
% 14.29/3.80 | (595) e12 = e11
% 14.29/3.80 |
% 14.29/3.80 | Equations (595) can reduce 334 to:
% 14.29/3.80 | (424) $false
% 14.29/3.80 |
% 14.29/3.80 |-The branch is then unsatisfiable
% 14.29/3.80 |-Branch two:
% 14.29/3.80 | (605) all_0_141_141 = e12 & all_0_147_147 = e12 & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = e10) & ~ (all_0_139_139 = e12)
% 14.29/3.80 |
% 14.29/3.80 | Applying alpha-rule on (605) yields:
% 14.29/3.80 | (590) ~ (all_0_113_113 = e13)
% 14.29/3.80 | (591) ~ (all_0_139_139 = e12)
% 14.29/3.80 | (593) ~ (all_0_114_114 = e11)
% 14.29/3.80 | (536) all_0_147_147 = e12
% 14.29/3.80 | (610) all_0_141_141 = e12
% 14.29/3.80 | (594) ~ (all_0_115_115 = e10)
% 14.29/3.80 |
% 14.29/3.80 | Combining equations (536,648) yields a new equation:
% 14.29/3.80 | (619) e12 = e11
% 14.29/3.80 |
% 14.29/3.80 | Simplifying 619 yields:
% 14.29/3.80 | (595) e12 = e11
% 14.29/3.80 |
% 14.29/3.80 | Equations (595) can reduce 334 to:
% 14.29/3.80 | (424) $false
% 14.29/3.80 |
% 14.29/3.80 |-The branch is then unsatisfiable
% 14.29/3.80 |-Branch two:
% 14.29/3.80 | (613) all_0_144_144 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)
% 14.29/3.80 |
% 14.29/3.80 | Applying alpha-rule on (613) yields:
% 14.29/3.80 | (599) ~ (all_0_117_117 = e12)
% 14.29/3.80 | (615) all_0_144_144 = e11
% 14.29/3.80 | (600) ~ (all_0_118_118 = e11)
% 14.29/3.81 | (601) ~ (all_0_116_116 = e13)
% 14.29/3.81 | (603) ~ (all_0_119_119 = e10)
% 14.29/3.81 |
% 14.29/3.81 | Equations (666) can reduce 599 to:
% 14.29/3.81 | (424) $false
% 14.29/3.81 |
% 14.29/3.81 |-The branch is then unsatisfiable
% 14.29/3.81 |-Branch two:
% 14.29/3.81 | (622) all_0_145_145 = e11 & all_0_148_148 = e11 & ~ (all_0_116_116 = e13) & ~ (all_0_117_117 = e12) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = e10)
% 14.29/3.81 |
% 14.29/3.81 | Applying alpha-rule on (622) yields:
% 14.29/3.81 | (623) all_0_145_145 = e11
% 14.29/3.81 | (599) ~ (all_0_117_117 = e12)
% 14.29/3.81 | (600) ~ (all_0_118_118 = e11)
% 14.29/3.81 | (601) ~ (all_0_116_116 = e13)
% 14.29/3.81 | (627) all_0_148_148 = e11
% 14.29/3.81 | (603) ~ (all_0_119_119 = e10)
% 14.29/3.81 |
% 14.29/3.81 | Equations (627) can reduce 652 to:
% 14.29/3.81 | (424) $false
% 14.29/3.81 |
% 14.29/3.81 |-The branch is then unsatisfiable
% 14.29/3.81 |-Branch two:
% 14.29/3.81 | (630) ~ (all_0_120_120 = e13) & ~ (all_0_121_121 = e12) & ~ (all_0_122_122 = e11) & ~ (all_0_123_123 = e10) & (all_0_149_149 = e10 | (all_0_145_145 = e10 & all_0_148_148 = e10))
% 14.29/3.81 |
% 14.29/3.81 | Applying alpha-rule on (630) yields:
% 14.29/3.81 | (631) ~ (all_0_121_121 = e12)
% 14.29/3.81 | (632) ~ (all_0_120_120 = e13)
% 14.29/3.81 | (633) ~ (all_0_123_123 = e10)
% 14.29/3.81 | (634) ~ (all_0_122_122 = e11)
% 14.29/3.81 | (635) all_0_149_149 = e10 | (all_0_145_145 = e10 & all_0_148_148 = e10)
% 14.29/3.81 |
% 14.29/3.81 | Equations (667) can reduce 631 to:
% 14.29/3.81 | (678) ~ (all_0_148_148 = e12)
% 14.29/3.81 |
% 14.29/3.81 +-Applying beta-rule and splitting (74), into two cases.
% 14.29/3.81 |-Branch one:
% 14.29/3.81 | (642) all_0_146_146 = e12
% 14.29/3.81 |
% 14.29/3.81 | Equations (642) can reduce 538 to:
% 14.29/3.81 | (424) $false
% 14.29/3.81 |
% 14.29/3.81 |-The branch is then unsatisfiable
% 14.29/3.81 |-Branch two:
% 14.29/3.81 | (538) ~ (all_0_146_146 = e12)
% 14.29/3.81 | (701) all_0_147_147 = e12 | all_0_148_148 = e12 | all_0_149_149 = e12
% 14.29/3.81 |
% 14.29/3.81 +-Applying beta-rule and splitting (224), into two cases.
% 14.29/3.81 |-Branch one:
% 14.29/3.81 | (708) all_0_148_148 = e12
% 14.29/3.81 |
% 14.29/3.81 | Equations (708) can reduce 678 to:
% 14.29/3.81 | (424) $false
% 14.29/3.81 |
% 14.29/3.81 |-The branch is then unsatisfiable
% 14.29/3.81 |-Branch two:
% 14.29/3.81 | (678) ~ (all_0_148_148 = e12)
% 14.29/3.81 | (766) all_0_148_148 = e13 | all_0_148_148 = e11 | all_0_148_148 = e10
% 14.29/3.81 |
% 14.29/3.81 +-Applying beta-rule and splitting (766), into two cases.
% 14.29/3.81 |-Branch one:
% 14.29/3.81 | (767) all_0_148_148 = e10
% 14.29/3.81 |
% 14.29/3.81 | Equations (767) can reduce 150 to:
% 14.29/3.81 | (760) ~ (all_0_140_140 = e10)
% 14.29/3.81 |
% 14.29/3.81 | Equations (767) can reduce 122 to:
% 14.29/3.81 | (875) ~ (all_0_146_146 = e10)
% 14.29/3.81 |
% 14.29/3.81 | Equations (767) can reduce 678 to:
% 14.29/3.81 | (723) ~ (e12 = e10)
% 14.29/3.81 |
% 14.29/3.81 | Simplifying 723 yields:
% 14.29/3.81 | (172) ~ (e12 = e10)
% 14.29/3.81 |
% 14.29/3.81 | Equations (767) can reduce 652 to:
% 14.29/3.81 | (974) ~ (e11 = e10)
% 14.29/3.81 |
% 14.29/3.81 | Simplifying 974 yields:
% 14.29/3.81 | (317) ~ (e11 = e10)
% 14.29/3.81 |
% 14.29/3.81 +-Applying beta-rule and splitting (388), into two cases.
% 14.29/3.81 |-Branch one:
% 14.29/3.81 | (736) all_0_139_139 = e10
% 14.29/3.81 |
% 14.29/3.81 | Combining equations (736,563) yields a new equation:
% 14.29/3.81 | (738) e12 = e10
% 14.29/3.81 |
% 14.29/3.81 | Equations (738) can reduce 172 to:
% 14.29/3.81 | (424) $false
% 14.29/3.81 |
% 14.29/3.81 |-The branch is then unsatisfiable
% 14.29/3.81 |-Branch two:
% 14.29/3.81 | (740) ~ (all_0_139_139 = e10)
% 14.29/3.81 | (1440) all_0_140_140 = e10 | all_0_141_141 = e10
% 14.29/3.81 |
% 14.29/3.81 +-Applying beta-rule and splitting (235), into two cases.
% 14.29/3.81 |-Branch one:
% 14.29/3.81 | (642) all_0_146_146 = e12
% 14.29/3.81 |
% 14.29/3.81 | Equations (642) can reduce 538 to:
% 14.29/3.81 | (424) $false
% 14.29/3.81 |
% 14.29/3.81 |-The branch is then unsatisfiable
% 14.29/3.81 |-Branch two:
% 14.29/3.81 | (538) ~ (all_0_146_146 = e12)
% 14.29/3.81 | (1444) all_0_146_146 = e13 | all_0_146_146 = e10
% 14.29/3.81 |
% 14.29/3.81 +-Applying beta-rule and splitting (1440), into two cases.
% 14.29/3.81 |-Branch one:
% 14.29/3.81 | (781) all_0_140_140 = e10
% 14.29/3.81 |
% 14.29/3.81 | Equations (781) can reduce 760 to:
% 14.29/3.81 | (424) $false
% 14.29/3.81 |
% 14.29/3.81 |-The branch is then unsatisfiable
% 14.29/3.81 |-Branch two:
% 14.29/3.81 | (760) ~ (all_0_140_140 = e10)
% 14.29/3.81 | (759) all_0_141_141 = e10
% 14.29/3.81 |
% 14.29/3.81 +-Applying beta-rule and splitting (52), into two cases.
% 14.29/3.81 |-Branch one:
% 14.29/3.81 | (602) all_0_140_140 = e11
% 14.29/3.81 |
% 14.29/3.81 | Equations (602) can reduce 141 to:
% 14.29/3.81 | (1450) ~ (all_0_144_144 = e11)
% 14.29/3.81 |
% 14.29/3.81 | Simplifying 1450 yields:
% 14.29/3.81 | (1451) ~ (all_0_144_144 = e11)
% 14.29/3.81 |
% 14.29/3.81 | Equations (602) can reduce 674 to:
% 14.53/3.81 | (787) ~ (e12 = e11)
% 14.53/3.81 |
% 14.53/3.81 | Simplifying 787 yields:
% 14.53/3.81 | (334) ~ (e12 = e11)
% 14.53/3.81 |
% 14.53/3.81 +-Applying beta-rule and splitting (1444), into two cases.
% 14.53/3.81 |-Branch one:
% 14.53/3.81 | (742) all_0_146_146 = e10
% 14.53/3.81 |
% 14.53/3.81 | Equations (742) can reduce 875 to:
% 14.53/3.81 | (424) $false
% 14.53/3.81 |
% 14.53/3.81 |-The branch is then unsatisfiable
% 14.53/3.81 |-Branch two:
% 14.53/3.81 | (875) ~ (all_0_146_146 = e10)
% 14.53/3.81 | (583) all_0_146_146 = e13
% 14.53/3.81 |
% 14.53/3.81 | Equations (583) can reduce 261 to:
% 14.53/3.81 | (688) ~ (all_0_149_149 = e13)
% 14.53/3.81 |
% 14.53/3.81 | Simplifying 688 yields:
% 14.53/3.81 | (689) ~ (all_0_149_149 = e13)
% 14.53/3.81 |
% 14.53/3.81 | Equations (583) can reduce 538 to:
% 14.53/3.81 | (308) ~ (e13 = e12)
% 14.53/3.81 |
% 14.53/3.81 | Equations (583) can reduce 95 to:
% 14.53/3.81 | (371) ~ (e13 = e11)
% 14.53/3.81 |
% 14.53/3.81 +-Applying beta-rule and splitting (303), into two cases.
% 14.53/3.81 |-Branch one:
% 14.53/3.81 | (546) all_0_143_143 = e11
% 14.53/3.81 |
% 14.53/3.81 | Combining equations (543,546) yields a new equation:
% 14.53/3.81 | (619) e12 = e11
% 14.53/3.81 |
% 14.53/3.81 | Simplifying 619 yields:
% 14.53/3.81 | (595) e12 = e11
% 14.53/3.81 |
% 14.53/3.81 | Equations (595) can reduce 334 to:
% 14.53/3.81 | (424) $false
% 14.53/3.81 |
% 14.53/3.81 |-The branch is then unsatisfiable
% 14.53/3.81 |-Branch two:
% 14.53/3.81 | (550) ~ (all_0_143_143 = e11)
% 14.53/3.81 | (990) all_0_144_144 = e11 | all_0_145_145 = e11
% 14.53/3.81 |
% 14.53/3.81 +-Applying beta-rule and splitting (195), into two cases.
% 14.53/3.81 |-Branch one:
% 14.53/3.81 | (582) all_0_138_138 = e13
% 14.53/3.81 |
% 14.53/3.81 | Combining equations (582,561) yields a new equation:
% 14.53/3.81 | (585) e13 = e12
% 14.53/3.81 |
% 14.53/3.81 | Simplifying 585 yields:
% 14.53/3.81 | (586) e13 = e12
% 14.53/3.81 |
% 14.53/3.81 | Equations (586) can reduce 308 to:
% 14.53/3.81 | (424) $false
% 14.53/3.81 |
% 14.53/3.81 |-The branch is then unsatisfiable
% 14.53/3.81 |-Branch two:
% 14.53/3.82 | (715) ~ (all_0_138_138 = e13)
% 14.53/3.82 | (1473) all_0_145_145 = e13 | all_0_149_149 = e13
% 14.53/3.82 |
% 14.53/3.82 +-Applying beta-rule and splitting (78), into two cases.
% 14.53/3.82 |-Branch one:
% 14.53/3.82 | (548) ~ (all_0_145_145 = e11)
% 14.53/3.82 |
% 14.53/3.82 +-Applying beta-rule and splitting (1473), into two cases.
% 14.53/3.82 |-Branch one:
% 14.53/3.82 | (873) all_0_145_145 = e13
% 14.53/3.82 |
% 14.53/3.82 | Equations (873) can reduce 548 to:
% 14.53/3.82 | (371) ~ (e13 = e11)
% 14.53/3.82 |
% 14.53/3.82 +-Applying beta-rule and splitting (990), into two cases.
% 14.53/3.82 |-Branch one:
% 14.53/3.82 | (615) all_0_144_144 = e11
% 14.53/3.82 |
% 14.53/3.82 | Equations (615) can reduce 1451 to:
% 14.53/3.82 | (424) $false
% 14.53/3.82 |
% 14.53/3.82 |-The branch is then unsatisfiable
% 14.53/3.82 |-Branch two:
% 14.53/3.82 | (1451) ~ (all_0_144_144 = e11)
% 14.53/3.82 | (623) all_0_145_145 = e11
% 14.53/3.82 |
% 14.53/3.82 | Combining equations (873,623) yields a new equation:
% 14.53/3.82 | (851) e13 = e11
% 14.53/3.82 |
% 14.53/3.82 | Simplifying 851 yields:
% 14.53/3.82 | (852) e13 = e11
% 14.53/3.82 |
% 14.53/3.82 | Equations (852) can reduce 371 to:
% 14.53/3.82 | (424) $false
% 14.53/3.82 |
% 14.53/3.82 |-The branch is then unsatisfiable
% 14.53/3.82 |-Branch two:
% 14.53/3.82 | (734) ~ (all_0_145_145 = e13)
% 14.53/3.82 | (1083) all_0_149_149 = e13
% 14.53/3.82 |
% 14.53/3.82 | Equations (1083) can reduce 689 to:
% 14.53/3.82 | (424) $false
% 14.53/3.82 |
% 14.53/3.82 |-The branch is then unsatisfiable
% 14.53/3.82 |-Branch two:
% 14.53/3.82 | (623) all_0_145_145 = e11
% 14.53/3.82 | (718) all_0_144_144 = e10 | all_0_149_149 = e10
% 14.53/3.82 |
% 14.53/3.82 +-Applying beta-rule and splitting (1473), into two cases.
% 14.53/3.82 |-Branch one:
% 14.53/3.82 | (873) all_0_145_145 = e13
% 14.53/3.82 |
% 14.53/3.82 | Combining equations (873,623) yields a new equation:
% 14.53/3.82 | (851) e13 = e11
% 14.53/3.82 |
% 14.53/3.82 | Simplifying 851 yields:
% 14.53/3.82 | (852) e13 = e11
% 14.53/3.82 |
% 14.53/3.82 | Equations (852) can reduce 371 to:
% 14.53/3.82 | (424) $false
% 14.53/3.82 |
% 14.53/3.82 |-The branch is then unsatisfiable
% 14.53/3.82 |-Branch two:
% 14.53/3.82 | (734) ~ (all_0_145_145 = e13)
% 14.53/3.82 | (1083) all_0_149_149 = e13
% 14.53/3.82 |
% 14.53/3.82 | Equations (1083) can reduce 689 to:
% 14.53/3.82 | (424) $false
% 14.53/3.82 |
% 14.53/3.82 |-The branch is then unsatisfiable
% 14.53/3.82 |-Branch two:
% 14.53/3.82 | (1496) ~ (all_0_140_140 = e11)
% 14.53/3.82 | (870) all_0_141_141 = e11
% 14.53/3.82 |
% 14.53/3.82 | Combining equations (870,759) yields a new equation:
% 14.53/3.82 | (841) e11 = e10
% 14.53/3.82 |
% 14.53/3.82 | Simplifying 841 yields:
% 14.53/3.82 | (833) e11 = e10
% 14.53/3.82 |
% 14.53/3.82 | Equations (833) can reduce 317 to:
% 14.53/3.82 | (424) $false
% 14.53/3.82 |
% 14.53/3.82 |-The branch is then unsatisfiable
% 14.53/3.82 |-Branch two:
% 14.53/3.82 | (744) ~ (all_0_148_148 = e10)
% 14.53/3.82 | (770) all_0_148_148 = e13 | all_0_148_148 = e11
% 14.53/3.82 |
% 14.53/3.82 +-Applying beta-rule and splitting (635), into two cases.
% 14.53/3.82 |-Branch one:
% 14.53/3.82 | (860) all_0_149_149 = e10
% 14.53/3.82 |
% 14.53/3.82 | Equations (860) can reduce 30 to:
% 14.53/3.82 | (869) ~ (all_0_141_141 = e10)
% 14.53/3.82 |
% 14.53/3.82 | Equations (860) can reduce 261 to:
% 14.53/3.82 | (875) ~ (all_0_146_146 = e10)
% 14.53/3.82 |
% 14.53/3.82 +-Applying beta-rule and splitting (85), into two cases.
% 14.53/3.82 |-Branch one:
% 14.53/3.82 | (610) all_0_141_141 = e12
% 14.53/3.82 |
% 14.53/3.82 | Equations (610) can reduce 565 to:
% 14.53/3.82 | (424) $false
% 14.53/3.82 |
% 14.53/3.82 |-The branch is then unsatisfiable
% 14.53/3.82 |-Branch two:
% 14.53/3.82 | (565) ~ (all_0_141_141 = e12)
% 14.53/3.82 | (758) all_0_141_141 = e11 | all_0_141_141 = e10
% 14.53/3.82 |
% 14.53/3.82 +-Applying beta-rule and splitting (758), into two cases.
% 14.53/3.82 |-Branch one:
% 14.53/3.82 | (759) all_0_141_141 = e10
% 14.53/3.82 |
% 14.53/3.82 | Equations (759) can reduce 869 to:
% 14.53/3.82 | (424) $false
% 14.53/3.82 |
% 14.53/3.82 |-The branch is then unsatisfiable
% 14.53/3.82 |-Branch two:
% 14.53/3.82 | (869) ~ (all_0_141_141 = e10)
% 14.53/3.82 | (870) all_0_141_141 = e11
% 14.53/3.82 |
% 14.53/3.82 | Equations (870) can reduce 223 to:
% 14.53/3.82 | (1496) ~ (all_0_140_140 = e11)
% 14.53/3.82 |
% 14.53/3.82 +-Applying beta-rule and splitting (235), into two cases.
% 14.53/3.82 |-Branch one:
% 14.53/3.82 | (642) all_0_146_146 = e12
% 14.53/3.82 |
% 14.53/3.82 | Equations (642) can reduce 538 to:
% 14.53/3.82 | (424) $false
% 14.53/3.82 |
% 14.53/3.82 |-The branch is then unsatisfiable
% 14.53/3.82 |-Branch two:
% 14.53/3.82 | (538) ~ (all_0_146_146 = e12)
% 14.53/3.82 | (1444) all_0_146_146 = e13 | all_0_146_146 = e10
% 14.53/3.82 |
% 14.53/3.82 +-Applying beta-rule and splitting (28), into two cases.
% 14.53/3.82 |-Branch one:
% 14.53/3.82 | (602) all_0_140_140 = e11
% 14.53/3.82 |
% 14.53/3.82 | Equations (602) can reduce 1496 to:
% 14.53/3.82 | (424) $false
% 14.53/3.82 |
% 14.53/3.82 |-The branch is then unsatisfiable
% 14.53/3.82 |-Branch two:
% 14.53/3.82 | (1496) ~ (all_0_140_140 = e11)
% 14.53/3.82 | (1522) all_0_144_144 = e11 | all_0_148_148 = e11
% 14.53/3.82 |
% 14.53/3.82 +-Applying beta-rule and splitting (1444), into two cases.
% 14.53/3.82 |-Branch one:
% 14.53/3.82 | (742) all_0_146_146 = e10
% 14.53/3.82 |
% 14.53/3.82 | Equations (742) can reduce 875 to:
% 14.53/3.82 | (424) $false
% 14.53/3.82 |
% 14.53/3.82 |-The branch is then unsatisfiable
% 14.53/3.82 |-Branch two:
% 14.53/3.82 | (875) ~ (all_0_146_146 = e10)
% 14.53/3.83 | (583) all_0_146_146 = e13
% 14.53/3.83 |
% 14.53/3.83 | Equations (583) can reduce 122 to:
% 14.53/3.83 | (1091) ~ (all_0_148_148 = e13)
% 14.53/3.83 |
% 14.53/3.83 | Simplifying 1091 yields:
% 14.53/3.83 | (1082) ~ (all_0_148_148 = e13)
% 14.53/3.83 |
% 14.53/3.83 +-Applying beta-rule and splitting (1522), into two cases.
% 14.53/3.83 |-Branch one:
% 14.53/3.83 | (615) all_0_144_144 = e11
% 14.53/3.83 |
% 14.53/3.83 | Equations (615) can reduce 196 to:
% 14.53/3.83 | (651) ~ (all_0_148_148 = e11)
% 14.53/3.83 |
% 14.53/3.83 | Simplifying 651 yields:
% 14.53/3.83 | (652) ~ (all_0_148_148 = e11)
% 14.53/3.83 |
% 14.53/3.83 +-Applying beta-rule and splitting (770), into two cases.
% 14.53/3.83 |-Branch one:
% 14.53/3.83 | (627) all_0_148_148 = e11
% 14.53/3.83 |
% 14.53/3.83 | Equations (627) can reduce 652 to:
% 14.53/3.83 | (424) $false
% 14.53/3.83 |
% 14.53/3.83 |-The branch is then unsatisfiable
% 14.53/3.83 |-Branch two:
% 14.53/3.83 | (652) ~ (all_0_148_148 = e11)
% 14.53/3.83 | (774) all_0_148_148 = e13
% 14.53/3.83 |
% 14.53/3.83 | Equations (774) can reduce 1082 to:
% 14.53/3.83 | (424) $false
% 14.53/3.83 |
% 14.53/3.83 |-The branch is then unsatisfiable
% 14.53/3.83 |-Branch two:
% 14.53/3.83 | (1451) ~ (all_0_144_144 = e11)
% 14.53/3.83 | (627) all_0_148_148 = e11
% 14.53/3.83 |
% 14.53/3.83 | Equations (627) can reduce 652 to:
% 14.53/3.83 | (424) $false
% 14.53/3.83 |
% 14.53/3.83 |-The branch is then unsatisfiable
% 14.53/3.83 |-Branch two:
% 14.53/3.83 | (863) ~ (all_0_149_149 = e10)
% 14.53/3.83 | (864) all_0_145_145 = e10 & all_0_148_148 = e10
% 14.53/3.83 |
% 14.53/3.83 | Applying alpha-rule on (864) yields:
% 14.53/3.83 | (749) all_0_145_145 = e10
% 14.53/3.83 | (767) all_0_148_148 = e10
% 14.53/3.83 |
% 14.53/3.83 | Equations (767) can reduce 744 to:
% 14.53/3.83 | (424) $false
% 14.53/3.83 |
% 14.53/3.83 |-The branch is then unsatisfiable
% 14.53/3.83 |-Branch two:
% 14.53/3.83 | (591) ~ (all_0_139_139 = e12)
% 14.53/3.83 | (736) all_0_139_139 = e10
% 14.53/3.83 |
% 14.53/3.83 | Equations (736) can reduce 591 to:
% 14.53/3.83 | (723) ~ (e12 = e10)
% 14.53/3.83 |
% 14.53/3.83 | Simplifying 723 yields:
% 14.53/3.83 | (172) ~ (e12 = e10)
% 14.53/3.83 |
% 14.53/3.83 | From (736) and (385) follows:
% 14.53/3.83 | (1549) h3(e10) = all_0_27_27
% 14.53/3.83 |
% 14.53/3.83 +-Applying beta-rule and splitting (284), into two cases.
% 14.53/3.83 |-Branch one:
% 14.53/3.83 | (639) all_0_142_142 = e12
% 14.53/3.83 |
% 14.53/3.83 | Equations (639) can reduce 556 to:
% 14.53/3.83 | (424) $false
% 14.53/3.83 |
% 14.53/3.83 |-The branch is then unsatisfiable
% 14.53/3.83 |-Branch two:
% 14.53/3.83 | (556) ~ (all_0_142_142 = e12)
% 14.53/3.83 | (728) all_0_142_142 = e13 | all_0_142_142 = e10
% 14.53/3.83 |
% 14.53/3.83 +-Applying beta-rule and splitting (34), into two cases.
% 14.53/3.83 |-Branch one:
% 14.53/3.83 | (563) all_0_139_139 = e12
% 14.53/3.83 |
% 14.53/3.83 | Combining equations (736,563) yields a new equation:
% 14.53/3.83 | (738) e12 = e10
% 14.53/3.83 |
% 14.53/3.83 | Equations (738) can reduce 172 to:
% 14.53/3.83 | (424) $false
% 14.53/3.83 |
% 14.53/3.83 |-The branch is then unsatisfiable
% 14.53/3.83 |-Branch two:
% 14.53/3.83 | (591) ~ (all_0_139_139 = e12)
% 14.53/3.83 | (917) all_0_140_140 = e12 | all_0_141_141 = e12
% 14.53/3.83 |
% 14.53/3.83 | Equations (736) can reduce 591 to:
% 14.53/3.83 | (723) ~ (e12 = e10)
% 14.53/3.83 |
% 14.53/3.83 | Simplifying 723 yields:
% 14.53/3.83 | (172) ~ (e12 = e10)
% 14.53/3.83 |
% 14.53/3.83 +-Applying beta-rule and splitting (267), into two cases.
% 14.53/3.83 |-Branch one:
% 14.53/3.83 | (563) all_0_139_139 = e12
% 14.53/3.83 |
% 14.53/3.83 | Combining equations (736,563) yields a new equation:
% 14.53/3.83 | (738) e12 = e10
% 14.53/3.83 |
% 14.53/3.83 | Equations (738) can reduce 172 to:
% 14.53/3.83 | (424) $false
% 14.53/3.83 |
% 14.53/3.83 |-The branch is then unsatisfiable
% 14.53/3.83 |-Branch two:
% 14.53/3.83 | (591) ~ (all_0_139_139 = e12)
% 14.53/3.83 | (638) all_0_142_142 = e12 | all_0_146_146 = e12
% 14.53/3.83 |
% 14.53/3.83 +-Applying beta-rule and splitting (917), into two cases.
% 14.53/3.83 |-Branch one:
% 14.53/3.83 | (592) all_0_140_140 = e12
% 14.53/3.83 |
% 14.53/3.83 | Equations (592) can reduce 223 to:
% 14.53/3.83 | (564) ~ (all_0_141_141 = e12)
% 14.53/3.83 |
% 14.53/3.83 | Simplifying 564 yields:
% 14.53/3.83 | (565) ~ (all_0_141_141 = e12)
% 14.53/3.83 |
% 14.53/3.83 | Equations (592) can reduce 150 to:
% 14.53/3.83 | (677) ~ (all_0_148_148 = e12)
% 14.53/3.83 |
% 14.53/3.83 | Simplifying 677 yields:
% 14.53/3.83 | (678) ~ (all_0_148_148 = e12)
% 14.53/3.83 |
% 14.53/3.83 | Equations (592) can reduce 271 to:
% 14.53/3.83 | (661) ~ (e13 = e12)
% 14.53/3.83 |
% 14.53/3.83 | Simplifying 661 yields:
% 14.53/3.83 | (308) ~ (e13 = e12)
% 14.53/3.83 |
% 14.53/3.83 | From (592) and (356) follows:
% 14.53/3.83 | (1573) h3(e12) = all_0_28_28
% 14.53/3.83 |
% 14.53/3.83 +-Applying beta-rule and splitting (52), into two cases.
% 14.53/3.83 |-Branch one:
% 14.53/3.83 | (602) all_0_140_140 = e11
% 14.53/3.83 |
% 14.53/3.83 | Combining equations (592,602) yields a new equation:
% 14.53/3.83 | (619) e12 = e11
% 14.53/3.83 |
% 14.53/3.83 | Simplifying 619 yields:
% 14.53/3.83 | (595) e12 = e11
% 14.53/3.83 |
% 14.53/3.83 | Equations (595) can reduce 334 to:
% 14.53/3.83 | (424) $false
% 14.53/3.83 |
% 14.53/3.83 |-The branch is then unsatisfiable
% 14.53/3.83 |-Branch two:
% 14.53/3.83 | (1496) ~ (all_0_140_140 = e11)
% 14.53/3.83 | (870) all_0_141_141 = e11
% 14.53/3.83 |
% 14.53/3.83 | Equations (870) can reduce 220 to:
% 14.53/3.83 | (547) ~ (all_0_145_145 = e11)
% 14.53/3.83 |
% 14.53/3.83 | Simplifying 547 yields:
% 14.53/3.83 | (548) ~ (all_0_145_145 = e11)
% 14.53/3.83 |
% 14.53/3.83 | Equations (870) can reduce 565 to:
% 14.53/3.83 | (787) ~ (e12 = e11)
% 14.53/3.83 |
% 14.53/3.83 | Simplifying 787 yields:
% 14.53/3.83 | (334) ~ (e12 = e11)
% 14.53/3.83 |
% 14.53/3.83 | From (870) and (316) follows:
% 14.53/3.83 | (1584) h3(e11) = all_0_29_29
% 14.53/3.83 |
% 14.53/3.83 +-Applying beta-rule and splitting (303), into two cases.
% 14.53/3.83 |-Branch one:
% 14.53/3.83 | (546) all_0_143_143 = e11
% 14.53/3.84 |
% 14.53/3.84 | Combining equations (546,543) yields a new equation:
% 14.53/3.84 | (595) e12 = e11
% 14.53/3.84 |
% 14.53/3.84 | Equations (595) can reduce 334 to:
% 14.53/3.84 | (424) $false
% 14.53/3.84 |
% 14.53/3.84 |-The branch is then unsatisfiable
% 14.53/3.84 |-Branch two:
% 14.53/3.84 | (550) ~ (all_0_143_143 = e11)
% 14.53/3.84 | (990) all_0_144_144 = e11 | all_0_145_145 = e11
% 14.53/3.84 |
% 14.53/3.84 +-Applying beta-rule and splitting (224), into two cases.
% 14.53/3.84 |-Branch one:
% 14.53/3.84 | (708) all_0_148_148 = e12
% 14.53/3.84 |
% 14.53/3.84 | Equations (708) can reduce 678 to:
% 14.53/3.84 | (424) $false
% 14.53/3.84 |
% 14.53/3.84 |-The branch is then unsatisfiable
% 14.53/3.84 |-Branch two:
% 14.53/3.84 | (678) ~ (all_0_148_148 = e12)
% 14.53/3.84 | (766) all_0_148_148 = e13 | all_0_148_148 = e11 | all_0_148_148 = e10
% 14.53/3.84 |
% 14.53/3.84 +-Applying beta-rule and splitting (990), into two cases.
% 14.53/3.84 |-Branch one:
% 14.53/3.84 | (615) all_0_144_144 = e11
% 14.53/3.84 |
% 14.53/3.84 | Equations (615) can reduce 196 to:
% 14.53/3.84 | (651) ~ (all_0_148_148 = e11)
% 14.53/3.84 |
% 14.53/3.84 | Simplifying 651 yields:
% 14.53/3.84 | (652) ~ (all_0_148_148 = e11)
% 14.53/3.84 |
% 14.53/3.84 | From (615) and (372) follows:
% 14.53/3.84 | (1597) h3(e11) = all_0_32_32
% 14.53/3.84 |
% 14.53/3.84 +-Applying beta-rule and splitting (766), into two cases.
% 14.53/3.84 |-Branch one:
% 14.53/3.84 | (767) all_0_148_148 = e10
% 14.53/3.84 |
% 14.53/3.84 | Equations (767) can reduce 122 to:
% 14.53/3.84 | (875) ~ (all_0_146_146 = e10)
% 14.53/3.84 |
% 14.53/3.84 | Equations (767) can reduce 105 to:
% 14.53/3.84 | (1600) ~ (all_0_149_149 = e10)
% 14.53/3.84 |
% 14.53/3.84 | Simplifying 1600 yields:
% 14.53/3.84 | (863) ~ (all_0_149_149 = e10)
% 14.53/3.84 |
% 14.53/3.84 | Equations (767) can reduce 652 to:
% 14.53/3.84 | (974) ~ (e11 = e10)
% 14.53/3.84 |
% 14.53/3.84 | Simplifying 974 yields:
% 14.53/3.84 | (317) ~ (e11 = e10)
% 14.53/3.84 |
% 14.53/3.84 | From (767) and (218) follows:
% 14.53/3.84 | (1604) h3(e10) = all_0_36_36
% 14.53/3.84 |
% 14.53/3.84 +-Applying beta-rule and splitting (74), into two cases.
% 14.53/3.84 |-Branch one:
% 14.53/3.84 | (642) all_0_146_146 = e12
% 14.53/3.84 |
% 14.53/3.84 | Equations (642) can reduce 217 to:
% 14.53/3.84 | (556) ~ (all_0_142_142 = e12)
% 14.53/3.84 |
% 14.53/3.84 | From (642) and (103) follows:
% 14.53/3.84 | (1607) h3(e12) = all_0_34_34
% 14.53/3.84 |
% 14.53/3.84 +-Applying beta-rule and splitting (346), into two cases.
% 14.53/3.84 |-Branch one:
% 14.53/3.84 | (732) all_0_142_142 = e13
% 14.53/3.84 |
% 14.53/3.84 | Equations (732) can reduce 99 to:
% 14.53/3.84 | (733) ~ (all_0_145_145 = e13)
% 14.53/3.84 |
% 14.53/3.84 | Simplifying 733 yields:
% 14.53/3.84 | (734) ~ (all_0_145_145 = e13)
% 14.53/3.84 |
% 14.53/3.84 | Equations (732) can reduce 556 to:
% 14.53/3.84 | (308) ~ (e13 = e12)
% 14.53/3.84 |
% 14.53/3.84 | From (732) and (151) follows:
% 14.53/3.84 | (1612) h3(e13) = all_0_30_30
% 14.53/3.84 |
% 14.53/3.84 +-Applying beta-rule and splitting (53), into two cases.
% 14.53/3.84 |-Branch one:
% 14.53/3.84 | (759) all_0_141_141 = e10
% 14.53/3.84 |
% 14.53/3.84 | Combining equations (870,759) yields a new equation:
% 14.53/3.84 | (841) e11 = e10
% 14.53/3.84 |
% 14.53/3.84 | Simplifying 841 yields:
% 14.53/3.84 | (833) e11 = e10
% 14.53/3.84 |
% 14.53/3.84 | Equations (833) can reduce 317 to:
% 14.53/3.84 | (424) $false
% 14.53/3.84 |
% 14.53/3.84 |-The branch is then unsatisfiable
% 14.53/3.84 |-Branch two:
% 14.53/3.84 | (869) ~ (all_0_141_141 = e10)
% 14.53/3.84 | (1618) all_0_145_145 = e10 | all_0_149_149 = e10
% 14.53/3.84 |
% 14.53/3.84 +-Applying beta-rule and splitting (1618), into two cases.
% 14.53/3.84 |-Branch one:
% 14.53/3.84 | (749) all_0_145_145 = e10
% 14.53/3.84 |
% 14.53/3.84 | Equations (749) can reduce 734 to:
% 14.53/3.84 | (955) ~ (e13 = e10)
% 14.53/3.84 |
% 14.53/3.84 | Simplifying 955 yields:
% 14.53/3.84 | (209) ~ (e13 = e10)
% 14.53/3.84 |
% 14.53/3.84 | From (749) and (42) follows:
% 14.53/3.84 | (1622) h3(e10) = all_0_33_33
% 14.53/3.84 |
% 14.53/3.84 +-Applying beta-rule and splitting (20), into two cases.
% 14.53/3.84 |-Branch one:
% 14.53/3.84 | (583) all_0_146_146 = e13
% 14.53/3.84 |
% 14.53/3.84 | Combining equations (583,642) yields a new equation:
% 14.53/3.84 | (585) e13 = e12
% 14.53/3.84 |
% 14.53/3.84 | Simplifying 585 yields:
% 14.53/3.84 | (586) e13 = e12
% 14.53/3.84 |
% 14.53/3.84 | Equations (586) can reduce 308 to:
% 14.53/3.84 | (424) $false
% 14.53/3.84 |
% 14.53/3.84 |-The branch is then unsatisfiable
% 14.53/3.84 |-Branch two:
% 14.53/3.84 | (943) ~ (all_0_146_146 = e13)
% 14.53/3.84 | (944) all_0_148_148 = e13 | all_0_149_149 = e13
% 14.53/3.84 |
% 14.53/3.84 +-Applying beta-rule and splitting (944), into two cases.
% 14.53/3.84 |-Branch one:
% 14.53/3.84 | (774) all_0_148_148 = e13
% 14.53/3.84 |
% 14.53/3.84 | Combining equations (767,774) yields a new equation:
% 14.53/3.84 | (801) e13 = e10
% 14.53/3.84 |
% 14.53/3.84 | Equations (801) can reduce 209 to:
% 14.53/3.84 | (424) $false
% 14.53/3.84 |
% 14.53/3.84 |-The branch is then unsatisfiable
% 14.53/3.84 |-Branch two:
% 14.53/3.84 | (1082) ~ (all_0_148_148 = e13)
% 14.53/3.84 | (1083) all_0_149_149 = e13
% 14.53/3.84 |
% 14.53/3.84 | From (1083) and (24) follows:
% 14.53/3.84 | (1634) h3(e13) = all_0_37_37
% 14.53/3.84 |
% 14.53/3.84 | Instantiating formula (274) with e13, all_0_30_30, e23 and discharging atoms h3(e13) = all_0_30_30, h3(e13) = e23, yields:
% 14.53/3.84 | (1635) all_0_30_30 = e23
% 14.53/3.84 |
% 14.53/3.84 | Instantiating formula (274) with e13, all_0_37_37, all_0_30_30 and discharging atoms h3(e13) = all_0_30_30, h3(e13) = all_0_37_37, yields:
% 14.53/3.84 | (1636) all_0_30_30 = all_0_37_37
% 14.53/3.84 |
% 14.53/3.84 | Instantiating formula (274) with e12, all_0_28_28, e22 and discharging atoms h3(e12) = all_0_28_28, h3(e12) = e22, yields:
% 14.53/3.84 | (1637) all_0_28_28 = e22
% 14.53/3.84 |
% 14.53/3.84 | Instantiating formula (274) with e12, all_0_34_34, all_0_28_28 and discharging atoms h3(e12) = all_0_28_28, h3(e12) = all_0_34_34, yields:
% 14.53/3.84 | (1638) all_0_28_28 = all_0_34_34
% 14.53/3.84 |
% 14.53/3.84 | Instantiating formula (274) with e11, all_0_29_29, e21 and discharging atoms h3(e11) = all_0_29_29, h3(e11) = e21, yields:
% 14.53/3.84 | (1639) all_0_29_29 = e21
% 14.53/3.84 |
% 14.53/3.84 | Instantiating formula (274) with e11, all_0_32_32, all_0_29_29 and discharging atoms h3(e11) = all_0_29_29, h3(e11) = all_0_32_32, yields:
% 14.53/3.84 | (1640) all_0_29_29 = all_0_32_32
% 14.53/3.84 |
% 14.53/3.84 | Instantiating formula (274) with e10, all_0_27_27, e20 and discharging atoms h3(e10) = all_0_27_27, h3(e10) = e20, yields:
% 14.53/3.84 | (1641) all_0_27_27 = e20
% 14.53/3.84 |
% 14.53/3.85 | Instantiating formula (274) with e10, all_0_33_33, all_0_27_27 and discharging atoms h3(e10) = all_0_27_27, h3(e10) = all_0_33_33, yields:
% 14.53/3.85 | (1642) all_0_27_27 = all_0_33_33
% 14.53/3.85 |
% 14.53/3.85 | Instantiating formula (274) with e10, all_0_36_36, all_0_27_27 and discharging atoms h3(e10) = all_0_27_27, h3(e10) = all_0_36_36, yields:
% 14.53/3.85 | (1643) all_0_27_27 = all_0_36_36
% 14.53/3.85 |
% 14.53/3.85 | Combining equations (1641,1642) yields a new equation:
% 14.53/3.85 | (1644) all_0_33_33 = e20
% 14.53/3.85 |
% 14.53/3.85 | Combining equations (1643,1642) yields a new equation:
% 14.53/3.85 | (1645) all_0_33_33 = all_0_36_36
% 14.53/3.85 |
% 14.53/3.85 | Combining equations (1637,1638) yields a new equation:
% 14.53/3.85 | (1646) all_0_34_34 = e22
% 14.53/3.85 |
% 14.53/3.85 | Combining equations (1639,1640) yields a new equation:
% 14.53/3.85 | (1647) all_0_32_32 = e21
% 14.53/3.85 |
% 14.53/3.85 | Combining equations (1636,1635) yields a new equation:
% 14.53/3.85 | (1648) all_0_37_37 = e23
% 14.53/3.85 |
% 14.53/3.85 | Simplifying 1648 yields:
% 14.53/3.85 | (1649) all_0_37_37 = e23
% 14.53/3.85 |
% 14.53/3.85 | Combining equations (1645,1644) yields a new equation:
% 14.53/3.85 | (1650) all_0_36_36 = e20
% 14.53/3.85 |
% 14.53/3.85 | Simplifying 1650 yields:
% 14.53/3.85 | (1651) all_0_36_36 = e20
% 14.53/3.85 |
% 14.53/3.85 | Combining equations (1647,1640) yields a new equation:
% 14.53/3.85 | (1639) all_0_29_29 = e21
% 14.53/3.85 |
% 14.53/3.85 | Combining equations (1646,1638) yields a new equation:
% 14.53/3.85 | (1637) all_0_28_28 = e22
% 14.53/3.85 |
% 14.53/3.85 | Combining equations (1644,1642) yields a new equation:
% 14.53/3.85 | (1641) all_0_27_27 = e20
% 14.53/3.85 |
% 14.53/3.85 +-Applying beta-rule and splitting (19), into two cases.
% 14.53/3.85 |-Branch one:
% 14.53/3.85 | (1655) ~ (all_0_25_25 = all_0_124_124)
% 14.53/3.85 |
% 14.53/3.85 | Equations (1099,449) can reduce 1655 to:
% 14.53/3.85 | (424) $false
% 14.53/3.85 |
% 14.53/3.85 |-The branch is then unsatisfiable
% 14.53/3.85 |-Branch two:
% 14.53/3.85 | (1657) all_0_25_25 = all_0_124_124
% 14.53/3.85 | (1658) ~ (all_0_26_26 = all_0_125_125) | ~ (all_0_27_27 = all_0_126_126) | ~ (all_0_28_28 = all_0_127_127) | ~ (all_0_29_29 = all_0_128_128) | ~ (all_0_30_30 = all_0_129_129) | ~ (all_0_31_31 = all_0_130_130) | ~ (all_0_32_32 = all_0_131_131) | ~ (all_0_33_33 = all_0_132_132) | ~ (all_0_34_34 = all_0_133_133) | ~ (all_0_35_35 = all_0_134_134) | ~ (all_0_36_36 = all_0_135_135) | ~ (all_0_37_37 = all_0_136_136)
% 14.53/3.85 |
% 14.53/3.85 +-Applying beta-rule and splitting (1658), into two cases.
% 14.53/3.85 |-Branch one:
% 14.53/3.85 | (1659) ~ (all_0_26_26 = all_0_125_125)
% 14.53/3.85 |
% 14.53/3.85 | Equations (1100,464) can reduce 1659 to:
% 14.53/3.85 | (424) $false
% 14.53/3.85 |
% 14.53/3.85 |-The branch is then unsatisfiable
% 14.53/3.85 |-Branch two:
% 14.53/3.85 | (1661) all_0_26_26 = all_0_125_125
% 14.53/3.85 | (1662) ~ (all_0_27_27 = all_0_126_126) | ~ (all_0_28_28 = all_0_127_127) | ~ (all_0_29_29 = all_0_128_128) | ~ (all_0_30_30 = all_0_129_129) | ~ (all_0_31_31 = all_0_130_130) | ~ (all_0_32_32 = all_0_131_131) | ~ (all_0_33_33 = all_0_132_132) | ~ (all_0_34_34 = all_0_133_133) | ~ (all_0_35_35 = all_0_134_134) | ~ (all_0_36_36 = all_0_135_135) | ~ (all_0_37_37 = all_0_136_136)
% 14.53/3.85 |
% 14.53/3.85 +-Applying beta-rule and splitting (1662), into two cases.
% 14.53/3.85 |-Branch one:
% 14.53/3.85 | (1663) ~ (all_0_27_27 = all_0_126_126)
% 14.53/3.85 |
% 14.53/3.85 | Equations (1641,411) can reduce 1663 to:
% 14.53/3.85 | (424) $false
% 14.53/3.85 |
% 14.53/3.85 |-The branch is then unsatisfiable
% 14.53/3.85 |-Branch two:
% 14.53/3.85 | (1665) all_0_27_27 = all_0_126_126
% 14.53/3.85 | (1666) ~ (all_0_28_28 = all_0_127_127) | ~ (all_0_29_29 = all_0_128_128) | ~ (all_0_30_30 = all_0_129_129) | ~ (all_0_31_31 = all_0_130_130) | ~ (all_0_32_32 = all_0_131_131) | ~ (all_0_33_33 = all_0_132_132) | ~ (all_0_34_34 = all_0_133_133) | ~ (all_0_35_35 = all_0_134_134) | ~ (all_0_36_36 = all_0_135_135) | ~ (all_0_37_37 = all_0_136_136)
% 14.53/3.85 |
% 14.53/3.85 +-Applying beta-rule and splitting (1666), into two cases.
% 14.53/3.85 |-Branch one:
% 14.53/3.85 | (1667) ~ (all_0_28_28 = all_0_127_127)
% 14.53/3.85 |
% 14.53/3.85 | Equations (1637,1207) can reduce 1667 to:
% 14.53/3.85 | (424) $false
% 14.53/3.85 |
% 14.53/3.85 |-The branch is then unsatisfiable
% 14.53/3.85 |-Branch two:
% 14.72/3.85 | (1669) all_0_28_28 = all_0_127_127
% 14.72/3.85 | (1670) ~ (all_0_29_29 = all_0_128_128) | ~ (all_0_30_30 = all_0_129_129) | ~ (all_0_31_31 = all_0_130_130) | ~ (all_0_32_32 = all_0_131_131) | ~ (all_0_33_33 = all_0_132_132) | ~ (all_0_34_34 = all_0_133_133) | ~ (all_0_35_35 = all_0_134_134) | ~ (all_0_36_36 = all_0_135_135) | ~ (all_0_37_37 = all_0_136_136)
% 14.72/3.85 |
% 14.72/3.86 +-Applying beta-rule and splitting (1670), into two cases.
% 14.72/3.86 |-Branch one:
% 14.72/3.86 | (1671) ~ (all_0_29_29 = all_0_128_128)
% 14.72/3.86 |
% 14.72/3.86 | Equations (1639,1119) can reduce 1671 to:
% 14.72/3.86 | (424) $false
% 14.72/3.86 |
% 14.72/3.86 |-The branch is then unsatisfiable
% 14.72/3.86 |-Branch two:
% 14.72/3.86 | (1673) all_0_29_29 = all_0_128_128
% 14.72/3.86 | (1674) ~ (all_0_30_30 = all_0_129_129) | ~ (all_0_31_31 = all_0_130_130) | ~ (all_0_32_32 = all_0_131_131) | ~ (all_0_33_33 = all_0_132_132) | ~ (all_0_34_34 = all_0_133_133) | ~ (all_0_35_35 = all_0_134_134) | ~ (all_0_36_36 = all_0_135_135) | ~ (all_0_37_37 = all_0_136_136)
% 14.72/3.86 |
% 14.72/3.86 +-Applying beta-rule and splitting (1674), into two cases.
% 14.72/3.86 |-Branch one:
% 14.72/3.86 | (1675) ~ (all_0_30_30 = all_0_129_129)
% 14.72/3.86 |
% 14.72/3.86 | Equations (1635,479) can reduce 1675 to:
% 14.72/3.86 | (424) $false
% 14.72/3.86 |
% 14.72/3.86 |-The branch is then unsatisfiable
% 14.72/3.86 |-Branch two:
% 14.72/3.86 | (1677) all_0_30_30 = all_0_129_129
% 14.72/3.86 | (1678) ~ (all_0_31_31 = all_0_130_130) | ~ (all_0_32_32 = all_0_131_131) | ~ (all_0_33_33 = all_0_132_132) | ~ (all_0_34_34 = all_0_133_133) | ~ (all_0_35_35 = all_0_134_134) | ~ (all_0_36_36 = all_0_135_135) | ~ (all_0_37_37 = all_0_136_136)
% 14.72/3.86 |
% 14.72/3.86 +-Applying beta-rule and splitting (1678), into two cases.
% 14.72/3.86 |-Branch one:
% 14.72/3.86 | (1679) ~ (all_0_31_31 = all_0_130_130)
% 14.72/3.86 |
% 14.72/3.86 | Equations (668,508) can reduce 1679 to:
% 14.72/3.86 | (424) $false
% 14.72/3.86 |
% 14.72/3.86 |-The branch is then unsatisfiable
% 14.72/3.86 |-Branch two:
% 14.72/3.86 | (1681) all_0_31_31 = all_0_130_130
% 14.72/3.86 | (1682) ~ (all_0_32_32 = all_0_131_131) | ~ (all_0_33_33 = all_0_132_132) | ~ (all_0_34_34 = all_0_133_133) | ~ (all_0_35_35 = all_0_134_134) | ~ (all_0_36_36 = all_0_135_135) | ~ (all_0_37_37 = all_0_136_136)
% 14.72/3.86 |
% 14.72/3.86 +-Applying beta-rule and splitting (1682), into two cases.
% 14.72/3.86 |-Branch one:
% 14.72/3.86 | (1683) ~ (all_0_32_32 = all_0_131_131)
% 14.72/3.86 |
% 14.72/3.86 | Equations (1647,1235) can reduce 1683 to:
% 14.72/3.86 | (424) $false
% 14.72/3.86 |
% 14.72/3.86 |-The branch is then unsatisfiable
% 14.72/3.86 |-Branch two:
% 14.72/3.86 | (1685) all_0_32_32 = all_0_131_131
% 14.72/3.86 | (1686) ~ (all_0_33_33 = all_0_132_132) | ~ (all_0_34_34 = all_0_133_133) | ~ (all_0_35_35 = all_0_134_134) | ~ (all_0_36_36 = all_0_135_135) | ~ (all_0_37_37 = all_0_136_136)
% 14.72/3.86 |
% 14.72/3.86 +-Applying beta-rule and splitting (1686), into two cases.
% 14.72/3.86 |-Branch one:
% 14.72/3.86 | (1687) ~ (all_0_33_33 = all_0_132_132)
% 14.72/3.86 |
% 14.72/3.86 | Equations (1644,462) can reduce 1687 to:
% 14.72/3.86 | (424) $false
% 14.72/3.86 |
% 14.72/3.86 |-The branch is then unsatisfiable
% 14.72/3.86 |-Branch two:
% 14.72/3.86 | (1689) all_0_33_33 = all_0_132_132
% 14.72/3.86 | (1690) ~ (all_0_34_34 = all_0_133_133) | ~ (all_0_35_35 = all_0_134_134) | ~ (all_0_36_36 = all_0_135_135) | ~ (all_0_37_37 = all_0_136_136)
% 14.72/3.86 |
% 14.72/3.86 +-Applying beta-rule and splitting (1690), into two cases.
% 14.72/3.86 |-Branch one:
% 14.72/3.86 | (1691) ~ (all_0_34_34 = all_0_133_133)
% 14.72/3.86 |
% 14.72/3.86 | Equations (1646,435) can reduce 1691 to:
% 14.72/3.86 | (424) $false
% 14.72/3.86 |
% 14.72/3.86 |-The branch is then unsatisfiable
% 14.72/3.86 |-Branch two:
% 14.72/3.86 | (1693) all_0_34_34 = all_0_133_133
% 14.72/3.86 | (1694) ~ (all_0_35_35 = all_0_134_134) | ~ (all_0_36_36 = all_0_135_135) | ~ (all_0_37_37 = all_0_136_136)
% 14.72/3.86 |
% 14.72/3.86 +-Applying beta-rule and splitting (1694), into two cases.
% 14.72/3.86 |-Branch one:
% 14.72/3.86 | (1695) ~ (all_0_35_35 = all_0_134_134)
% 14.72/3.86 |
% 14.72/3.86 | Equations (669,423) can reduce 1695 to:
% 14.72/3.86 | (424) $false
% 14.72/3.86 |
% 14.72/3.86 |-The branch is then unsatisfiable
% 14.72/3.86 |-Branch two:
% 14.72/3.86 | (1697) all_0_35_35 = all_0_134_134
% 14.72/3.86 | (1698) ~ (all_0_36_36 = all_0_135_135) | ~ (all_0_37_37 = all_0_136_136)
% 14.72/3.86 |
% 14.72/3.86 +-Applying beta-rule and splitting (1698), into two cases.
% 14.72/3.86 |-Branch one:
% 14.72/3.86 | (1699) ~ (all_0_36_36 = all_0_135_135)
% 14.72/3.86 |
% 14.72/3.86 | Equations (1651,476) can reduce 1699 to:
% 14.72/3.86 | (424) $false
% 14.72/3.86 |
% 14.72/3.86 |-The branch is then unsatisfiable
% 14.72/3.86 |-Branch two:
% 14.72/3.86 | (1701) all_0_36_36 = all_0_135_135
% 14.72/3.86 | (1702) ~ (all_0_37_37 = all_0_136_136)
% 14.72/3.86 |
% 14.72/3.86 | Equations (1649,1330) can reduce 1702 to:
% 14.72/3.86 | (424) $false
% 14.72/3.86 |
% 14.72/3.86 |-The branch is then unsatisfiable
% 14.72/3.86 |-Branch two:
% 14.72/3.86 | (722) ~ (all_0_145_145 = e10)
% 14.72/3.86 | (860) all_0_149_149 = e10
% 14.72/3.86 |
% 14.72/3.86 | Equations (860) can reduce 863 to:
% 14.72/3.86 | (424) $false
% 14.72/3.86 |
% 14.72/3.86 |-The branch is then unsatisfiable
% 14.72/3.86 |-Branch two:
% 14.72/3.86 | (1707) ~ (all_0_142_142 = e13)
% 14.72/3.86 | (583) all_0_146_146 = e13
% 14.72/3.86 |
% 14.72/3.86 | Combining equations (583,642) yields a new equation:
% 14.72/3.86 | (585) e13 = e12
% 14.72/3.86 |
% 14.72/3.86 | Simplifying 585 yields:
% 14.72/3.86 | (586) e13 = e12
% 14.72/3.86 |
% 14.72/3.86 | Equations (586) can reduce 308 to:
% 14.72/3.86 | (424) $false
% 14.72/3.86 |
% 14.72/3.86 |-The branch is then unsatisfiable
% 14.72/3.86 |-Branch two:
% 14.72/3.86 | (538) ~ (all_0_146_146 = e12)
% 14.72/3.86 | (701) all_0_147_147 = e12 | all_0_148_148 = e12 | all_0_149_149 = e12
% 14.72/3.86 |
% 14.72/3.86 +-Applying beta-rule and splitting (235), into two cases.
% 14.72/3.86 |-Branch one:
% 14.72/3.86 | (642) all_0_146_146 = e12
% 14.72/3.86 |
% 14.72/3.86 | Equations (642) can reduce 538 to:
% 14.72/3.86 | (424) $false
% 14.72/3.86 |
% 14.72/3.86 |-The branch is then unsatisfiable
% 14.72/3.86 |-Branch two:
% 14.72/3.86 | (538) ~ (all_0_146_146 = e12)
% 14.72/3.86 | (1444) all_0_146_146 = e13 | all_0_146_146 = e10
% 14.72/3.86 |
% 14.72/3.86 +-Applying beta-rule and splitting (1444), into two cases.
% 14.72/3.86 |-Branch one:
% 14.72/3.86 | (742) all_0_146_146 = e10
% 14.72/3.86 |
% 14.72/3.86 | Equations (742) can reduce 875 to:
% 14.72/3.86 | (424) $false
% 14.72/3.86 |
% 14.72/3.86 |-The branch is then unsatisfiable
% 14.72/3.86 |-Branch two:
% 14.72/3.86 | (875) ~ (all_0_146_146 = e10)
% 14.72/3.86 | (583) all_0_146_146 = e13
% 14.72/3.86 |
% 14.72/3.86 | Equations (583) can reduce 538 to:
% 14.72/3.86 | (308) ~ (e13 = e12)
% 14.72/3.87 |
% 14.72/3.87 +-Applying beta-rule and splitting (195), into two cases.
% 14.72/3.87 |-Branch one:
% 14.72/3.87 | (582) all_0_138_138 = e13
% 14.72/3.87 |
% 14.72/3.87 | Combining equations (561,582) yields a new equation:
% 14.72/3.87 | (586) e13 = e12
% 14.72/3.87 |
% 14.72/3.87 | Equations (586) can reduce 308 to:
% 14.72/3.87 | (424) $false
% 14.72/3.87 |
% 14.72/3.87 |-The branch is then unsatisfiable
% 14.72/3.87 |-Branch two:
% 14.72/3.87 | (715) ~ (all_0_138_138 = e13)
% 14.72/3.87 | (1473) all_0_145_145 = e13 | all_0_149_149 = e13
% 14.72/3.87 |
% 14.72/3.87 | Equations (561) can reduce 715 to:
% 14.72/3.87 | (661) ~ (e13 = e12)
% 14.72/3.87 |
% 14.72/3.87 | Simplifying 661 yields:
% 14.72/3.87 | (308) ~ (e13 = e12)
% 14.72/3.87 |
% 14.72/3.87 +-Applying beta-rule and splitting (638), into two cases.
% 14.72/3.87 |-Branch one:
% 14.72/3.87 | (639) all_0_142_142 = e12
% 14.72/3.87 |
% 14.72/3.87 | Equations (639) can reduce 556 to:
% 14.72/3.87 | (424) $false
% 14.72/3.87 |
% 14.72/3.87 |-The branch is then unsatisfiable
% 14.72/3.87 |-Branch two:
% 14.72/3.87 | (556) ~ (all_0_142_142 = e12)
% 14.72/3.87 | (642) all_0_146_146 = e12
% 14.72/3.87 |
% 14.72/3.87 | Combining equations (642,583) yields a new equation:
% 14.72/3.87 | (586) e13 = e12
% 14.72/3.87 |
% 14.72/3.87 | Equations (586) can reduce 308 to:
% 14.72/3.87 | (424) $false
% 14.72/3.87 |
% 14.72/3.87 |-The branch is then unsatisfiable
% 14.72/3.87 |-Branch two:
% 14.72/3.87 | (744) ~ (all_0_148_148 = e10)
% 14.72/3.87 | (770) all_0_148_148 = e13 | all_0_148_148 = e11
% 14.72/3.87 |
% 14.72/3.87 +-Applying beta-rule and splitting (770), into two cases.
% 14.72/3.87 |-Branch one:
% 14.72/3.87 | (627) all_0_148_148 = e11
% 14.72/3.87 |
% 14.72/3.87 | Equations (627) can reduce 652 to:
% 14.72/3.87 | (424) $false
% 14.72/3.87 |
% 14.72/3.87 |-The branch is then unsatisfiable
% 14.72/3.87 |-Branch two:
% 14.72/3.87 | (652) ~ (all_0_148_148 = e11)
% 14.72/3.87 | (774) all_0_148_148 = e13
% 14.72/3.87 |
% 14.72/3.87 | Equations (774) can reduce 1082 to:
% 14.72/3.87 | (424) $false
% 14.72/3.87 |
% 14.72/3.87 |-The branch is then unsatisfiable
% 14.72/3.87 |-Branch two:
% 14.72/3.87 | (1451) ~ (all_0_144_144 = e11)
% 14.72/3.87 | (623) all_0_145_145 = e11
% 14.72/3.87 |
% 14.72/3.87 | Equations (623) can reduce 548 to:
% 14.72/3.87 | (424) $false
% 14.72/3.87 |
% 14.72/3.87 |-The branch is then unsatisfiable
% 14.72/3.87 |-Branch two:
% 14.72/3.87 | (674) ~ (all_0_140_140 = e12)
% 14.72/3.87 | (610) all_0_141_141 = e12
% 14.72/3.87 |
% 14.72/3.87 | Equations (610) can reduce 565 to:
% 14.72/3.87 | (424) $false
% 14.72/3.87 |
% 14.72/3.87 |-The branch is then unsatisfiable
% 14.72/3.87 |-Branch two:
% 14.72/3.87 | (1114) ~ (all_0_131_131 = e21)
% 14.72/3.87 | (1244) all_0_135_135 = e21
% 14.72/3.87 |
% 14.72/3.87 | Combining equations (1244,476) yields a new equation:
% 14.72/3.87 | (1169) e21 = e20
% 14.72/3.87 |
% 14.72/3.87 | Simplifying 1169 yields:
% 14.72/3.87 | (1170) e21 = e20
% 14.72/3.87 |
% 14.72/3.87 | Equations (1170) can reduce 348 to:
% 14.72/3.87 | (424) $false
% 14.72/3.87 |
% 14.72/3.87 |-The branch is then unsatisfiable
% 14.72/3.87 |-Branch two:
% 14.72/3.87 | (1176) ~ (all_0_132_132 = e20)
% 14.72/3.87 | (1159) all_0_136_136 = e20
% 14.72/3.87 |
% 14.72/3.87 | Combining equations (1159,1330) yields a new equation:
% 14.72/3.87 | (490) e23 = e20
% 14.72/3.87 |
% 14.72/3.87 | Equations (490) can reduce 288 to:
% 14.72/3.87 | (424) $false
% 14.72/3.87 |
% 14.72/3.87 |-The branch is then unsatisfiable
% 14.72/3.87 |-Branch two:
% 14.72/3.87 | (1158) ~ (all_0_135_135 = e20)
% 14.72/3.87 | (1759) all_0_135_135 = e23 | all_0_135_135 = e22 | all_0_135_135 = e21
% 14.72/3.87 |
% 14.72/3.87 +-Applying beta-rule and splitting (264), into two cases.
% 14.72/3.87 |-Branch one:
% 14.72/3.87 | (420) all_0_130_130 = e21
% 14.72/3.87 |
% 14.72/3.87 | Combining equations (508,420) yields a new equation:
% 14.72/3.87 | (1181) e22 = e21
% 14.72/3.87 |
% 14.72/3.87 | Simplifying 1181 yields:
% 14.72/3.87 | (1182) e22 = e21
% 14.72/3.87 |
% 14.72/3.87 | Equations (1182) can reduce 257 to:
% 14.72/3.87 | (424) $false
% 14.72/3.87 |
% 14.72/3.87 |-The branch is then unsatisfiable
% 14.72/3.87 |-Branch two:
% 14.72/3.87 | (440) ~ (all_0_130_130 = e21)
% 14.72/3.87 | (1765) all_0_131_131 = e21 | all_0_132_132 = e21
% 14.72/3.87 |
% 14.72/3.87 +-Applying beta-rule and splitting (1765), into two cases.
% 14.72/3.87 |-Branch one:
% 14.72/3.87 | (1235) all_0_131_131 = e21
% 14.72/3.87 |
% 14.72/3.87 | Equations (1235) can reduce 127 to:
% 14.72/3.87 | (501) ~ (all_0_135_135 = e21)
% 14.72/3.87 |
% 14.72/3.87 | Simplifying 501 yields:
% 14.72/3.87 | (502) ~ (all_0_135_135 = e21)
% 14.72/3.87 |
% 14.72/3.87 +-Applying beta-rule and splitting (1759), into two cases.
% 14.72/3.87 |-Branch one:
% 14.72/3.87 | (1244) all_0_135_135 = e21
% 14.72/3.87 |
% 14.72/3.87 | Equations (1244) can reduce 502 to:
% 14.72/3.87 | (424) $false
% 14.72/3.87 |
% 14.72/3.87 |-The branch is then unsatisfiable
% 14.72/3.87 |-Branch two:
% 14.72/3.87 | (502) ~ (all_0_135_135 = e21)
% 14.72/3.87 | (1772) all_0_135_135 = e23 | all_0_135_135 = e22
% 14.72/3.87 |
% 14.72/3.87 +-Applying beta-rule and splitting (1772), into two cases.
% 14.72/3.87 |-Branch one:
% 14.72/3.87 | (1773) all_0_135_135 = e22
% 14.72/3.87 |
% 14.72/3.87 | Equations (1773) can reduce 1301 to:
% 14.72/3.87 | (424) $false
% 14.72/3.87 |
% 14.72/3.87 |-The branch is then unsatisfiable
% 14.72/3.87 |-Branch two:
% 14.72/3.87 | (1301) ~ (all_0_135_135 = e22)
% 14.72/3.87 | (1138) all_0_135_135 = e23
% 14.72/3.87 |
% 14.72/3.87 | Equations (1138) can reduce 453 to:
% 14.72/3.87 | (424) $false
% 14.72/3.87 |
% 14.72/3.87 |-The branch is then unsatisfiable
% 14.72/3.87 |-Branch two:
% 14.72/3.87 | (1114) ~ (all_0_131_131 = e21)
% 14.72/3.87 | (1186) all_0_132_132 = e21
% 14.72/3.87 |
% 14.72/3.87 | Equations (1186) can reduce 1269 to:
% 14.72/3.87 | (424) $false
% 14.72/3.87 |
% 14.72/3.87 |-The branch is then unsatisfiable
% 14.72/3.87 |-Branch two:
% 14.72/3.87 | (1105) ~ (all_0_127_127 = e22)
% 14.72/3.87 | (1122) all_0_128_128 = e22
% 14.72/3.87 |
% 14.72/3.87 | Equations (1122) can reduce 1283 to:
% 14.72/3.87 | (424) $false
% 14.72/3.87 |
% 14.72/3.87 |-The branch is then unsatisfiable
% 14.72/3.87 |-Branch two:
% 14.72/3.87 | (1133) ~ (all_0_124_124 = e23)
% 14.72/3.87 | (493) all_0_125_125 = e23
% 14.72/3.87 |
% 14.72/3.87 | Combining equations (464,493) yields a new equation:
% 14.72/3.87 | (485) e23 = e22
% 14.72/3.87 |
% 14.72/3.87 | Equations (485) can reduce 38 to:
% 14.72/3.87 | (424) $false
% 14.72/3.87 |
% 14.72/3.87 |-The branch is then unsatisfiable
% 14.72/3.87 |-Branch two:
% 14.72/3.87 | (1067) ~ (all_0_138_138 = e12)
% 14.72/3.87 | (582) all_0_138_138 = e13
% 14.72/3.87 |
% 14.72/3.87 | Equations (582) can reduce 715 to:
% 14.72/3.87 | (424) $false
% 14.72/3.87 |
% 14.72/3.87 |-The branch is then unsatisfiable
% 14.72/3.87 |-Branch two:
% 14.72/3.87 | (537) ~ (all_0_143_143 = e12)
% 14.72/3.87 | (546) all_0_143_143 = e11
% 14.72/3.87 |
% 14.72/3.87 | Equations (546) can reduce 550 to:
% 14.72/3.87 | (424) $false
% 14.72/3.87 |
% 14.72/3.87 |-The branch is then unsatisfiable
% 14.72/3.87 |-Branch two:
% 14.72/3.87 | (1794) ~ (all_0_126_126 = e20)
% 14.72/3.87 | (515) all_0_126_126 = e22
% 14.72/3.87 |
% 14.72/3.87 | Equations (515) can reduce 137 to:
% 14.72/3.87 | (1282) ~ (all_0_128_128 = e22)
% 14.72/3.87 |
% 14.72/3.87 | Simplifying 1282 yields:
% 14.72/3.87 | (1283) ~ (all_0_128_128 = e22)
% 14.72/3.87 |
% 14.72/3.87 | Equations (515) can reduce 44 to:
% 14.72/3.87 | (1798) ~ (all_0_133_133 = e22)
% 14.72/3.87 |
% 14.72/3.87 | Simplifying 1798 yields:
% 14.72/3.87 | (427) ~ (all_0_133_133 = e22)
% 14.72/3.87 |
% 14.72/3.87 +-Applying beta-rule and splitting (197), into two cases.
% 14.72/3.87 |-Branch one:
% 14.72/3.87 | (508) all_0_130_130 = e22
% 14.72/3.87 |
% 14.72/3.87 | Equations (508) can reduce 389 to:
% 14.72/3.87 | (509) ~ (all_0_129_129 = e22)
% 14.72/3.87 |
% 14.72/3.87 | Equations (508) can reduce 253 to:
% 14.72/3.87 | (1124) ~ (all_0_132_132 = e22)
% 14.72/3.87 |
% 14.72/3.87 | Simplifying 1124 yields:
% 14.72/3.87 | (1125) ~ (all_0_132_132 = e22)
% 14.72/3.87 |
% 14.72/3.87 | Equations (508) can reduce 81 to:
% 14.72/3.87 | (1804) ~ (all_0_134_134 = e22)
% 14.72/3.87 |
% 14.72/3.87 | Simplifying 1804 yields:
% 14.72/3.87 | (1805) ~ (all_0_134_134 = e22)
% 14.72/3.87 |
% 14.72/3.87 | Equations (508) can reduce 152 to:
% 14.72/3.87 | (465) ~ (e23 = e22)
% 14.72/3.87 |
% 14.72/3.87 | Simplifying 465 yields:
% 14.72/3.87 | (38) ~ (e23 = e22)
% 14.72/3.87 |
% 14.72/3.87 | Equations (508) can reduce 294 to:
% 14.72/3.87 | (125) ~ (e22 = e20)
% 14.72/3.87 |
% 14.72/3.87 +-Applying beta-rule and splitting (232), into two cases.
% 14.72/3.87 |-Branch one:
% 14.72/3.87 | (423) all_0_134_134 = e21
% 14.72/3.87 |
% 14.72/3.87 | Equations (423) can reduce 22 to:
% 14.72/3.87 | (204) ~ (all_0_133_133 = e21)
% 14.72/3.87 |
% 14.72/3.87 | Equations (423) can reduce 190 to:
% 14.72/3.87 | (503) ~ (all_0_136_136 = e21)
% 14.72/3.87 |
% 14.72/3.87 | Simplifying 503 yields:
% 14.72/3.87 | (504) ~ (all_0_136_136 = e21)
% 14.72/3.87 |
% 14.72/3.87 | Equations (423) can reduce 66 to:
% 14.72/3.87 | (348) ~ (e21 = e20)
% 14.72/3.87 |
% 14.72/3.87 | From (423) and (233) follows:
% 14.72/3.87 | (1814) op2(e20, e21) = all_0_108_108
% 14.72/3.87 |
% 14.72/3.87 | Instantiating formula (272) with e20, e21, all_0_108_108, all_0_135_135 and discharging atoms op2(e20, e21) = all_0_108_108, op2(e20, e21) = all_0_135_135, yields:
% 14.72/3.87 | (1815) all_0_108_108 = all_0_135_135
% 14.72/3.87 |
% 14.72/3.87 +-Applying beta-rule and splitting (304), into two cases.
% 14.72/3.87 |-Branch one:
% 14.72/3.87 | (1110) all_0_127_127 = e21
% 14.72/3.87 |
% 14.72/3.87 | Equations (1110) can reduce 289 to:
% 14.72/3.87 | (1111) ~ (all_0_128_128 = e21)
% 14.72/3.87 |
% 14.72/3.87 | Simplifying 1111 yields:
% 14.72/3.87 | (1112) ~ (all_0_128_128 = e21)
% 14.72/3.87 |
% 14.72/3.87 | Equations (1110) can reduce 106 to:
% 14.72/3.87 | (501) ~ (all_0_135_135 = e21)
% 14.72/3.87 |
% 14.72/3.87 | Simplifying 501 yields:
% 14.72/3.87 | (502) ~ (all_0_135_135 = e21)
% 14.72/3.87 |
% 14.72/3.87 +-Applying beta-rule and splitting (368), into two cases.
% 14.72/3.87 |-Branch one:
% 14.72/3.87 | (1119) all_0_128_128 = e21
% 14.72/3.87 |
% 14.72/3.87 | Equations (1119) can reduce 1112 to:
% 14.72/3.87 | (424) $false
% 14.72/3.87 |
% 14.72/3.87 |-The branch is then unsatisfiable
% 14.72/3.87 |-Branch two:
% 14.72/3.87 | (1112) ~ (all_0_128_128 = e21)
% 14.72/3.87 | (1185) all_0_132_132 = e21 | all_0_136_136 = e21
% 14.72/3.87 |
% 14.72/3.88 +-Applying beta-rule and splitting (268), into two cases.
% 14.72/3.88 |-Branch one:
% 14.72/3.88 | (1115) all_0_128_128 = e20
% 14.72/3.88 |
% 14.72/3.88 | Equations (1115) can reduce 101 to:
% 14.72/3.88 | (1314) ~ (all_0_136_136 = e20)
% 14.72/3.88 |
% 14.72/3.88 | Simplifying 1314 yields:
% 14.72/3.88 | (1315) ~ (all_0_136_136 = e20)
% 14.72/3.88 |
% 14.72/3.88 +-Applying beta-rule and splitting (1185), into two cases.
% 14.72/3.88 |-Branch one:
% 14.72/3.88 | (1186) all_0_132_132 = e21
% 14.72/3.88 |
% 14.72/3.88 | Equations (1186) can reduce 1125 to:
% 14.72/3.88 | (1189) ~ (e22 = e21)
% 14.72/3.88 |
% 14.72/3.88 | Simplifying 1189 yields:
% 14.72/3.88 | (257) ~ (e22 = e21)
% 14.72/3.88 |
% 14.72/3.88 +-Applying beta-rule and splitting (61), into two cases.
% 14.72/3.88 |-Branch one:
% 14.72/3.88 | (1269) ~ (all_0_132_132 = e21)
% 14.72/3.88 |
% 14.72/3.88 | Equations (1186) can reduce 1269 to:
% 14.72/3.88 | (424) $false
% 14.72/3.88 |
% 14.72/3.88 |-The branch is then unsatisfiable
% 14.72/3.88 |-Branch two:
% 14.72/3.88 | (1186) all_0_132_132 = e21
% 14.72/3.88 | (1834) all_0_131_131 = e20 | all_0_136_136 = e20
% 14.72/3.88 |
% 14.72/3.88 +-Applying beta-rule and splitting (1834), into two cases.
% 14.72/3.88 |-Branch one:
% 14.72/3.88 | (458) all_0_131_131 = e20
% 14.72/3.88 |
% 14.72/3.88 | Equations (458) can reduce 341 to:
% 14.72/3.88 | (328) ~ (all_0_124_124 = e20)
% 14.72/3.88 |
% 14.72/3.88 | Equations (458) can reduce 331 to:
% 14.72/3.88 | (417) ~ (all_0_129_129 = e20)
% 14.72/3.88 |
% 14.72/3.88 +-Applying beta-rule and splitting (166), into two cases.
% 14.72/3.88 |-Branch one:
% 14.72/3.88 | (454) all_0_129_129 = e20
% 14.72/3.88 |
% 14.72/3.88 | Equations (454) can reduce 417 to:
% 14.72/3.88 | (424) $false
% 14.72/3.88 |
% 14.72/3.88 |-The branch is then unsatisfiable
% 14.72/3.88 |-Branch two:
% 14.72/3.88 | (417) ~ (all_0_129_129 = e20)
% 14.72/3.88 | (514) all_0_129_129 = e23 | all_0_129_129 = e22
% 14.72/3.88 |
% 14.72/3.88 +-Applying beta-rule and splitting (514), into two cases.
% 14.72/3.88 |-Branch one:
% 14.72/3.88 | (520) all_0_129_129 = e22
% 14.72/3.88 |
% 14.72/3.88 | Equations (520) can reduce 509 to:
% 14.72/3.88 | (424) $false
% 14.72/3.88 |
% 14.72/3.88 |-The branch is then unsatisfiable
% 14.72/3.88 |-Branch two:
% 14.72/3.88 | (509) ~ (all_0_129_129 = e22)
% 14.72/3.88 | (479) all_0_129_129 = e23
% 14.72/3.88 |
% 14.72/3.88 | Equations (479) can reduce 50 to:
% 14.72/3.88 | (526) ~ (all_0_133_133 = e23)
% 14.72/3.88 |
% 14.72/3.88 | Simplifying 526 yields:
% 14.72/3.88 | (527) ~ (all_0_133_133 = e23)
% 14.72/3.88 |
% 14.72/3.88 +-Applying beta-rule and splitting (352), into two cases.
% 14.72/3.88 |-Branch one:
% 14.72/3.88 | (431) all_0_133_133 = e20
% 14.72/3.88 |
% 14.72/3.88 | Equations (431) can reduce 527 to:
% 14.72/3.88 | (477) ~ (e23 = e20)
% 14.72/3.88 |
% 14.72/3.88 | Simplifying 477 yields:
% 14.72/3.88 | (288) ~ (e23 = e20)
% 14.72/3.88 |
% 14.72/3.88 | Equations (431) can reduce 427 to:
% 14.72/3.88 | (1851) ~ (e22 = e20)
% 14.72/3.88 |
% 14.72/3.88 | Simplifying 1851 yields:
% 14.72/3.88 | (125) ~ (e22 = e20)
% 14.72/3.88 |
% 14.72/3.88 | Equations (431) can reduce 204 to:
% 14.72/3.88 | (1162) ~ (e21 = e20)
% 14.72/3.88 |
% 14.72/3.88 | Simplifying 1162 yields:
% 14.72/3.88 | (348) ~ (e21 = e20)
% 14.72/3.88 |
% 14.72/3.88 +-Applying beta-rule and splitting (109), into two cases.
% 14.72/3.88 |-Branch one:
% 14.72/3.88 | (1192) (all_0_125_125 = e23 & all_0_133_133 = e23 & ~ (all_0_98_98 = e21) & ~ (all_0_99_99 = e20) & ~ (all_0_124_124 = e23)) | (all_0_127_127 = e22 & all_0_130_130 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)) | (all_0_127_127 = e21 & all_0_130_130 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)) | (all_0_128_128 = e22 & all_0_134_134 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)) | (all_0_131_131 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)) | (all_0_132_132 = e21 & all_0_135_135 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20))
% 14.72/3.88 |
% 14.72/3.88 +-Applying beta-rule and splitting (1192), into two cases.
% 14.72/3.88 |-Branch one:
% 14.72/3.88 | (1193) (all_0_125_125 = e23 & all_0_133_133 = e23 & ~ (all_0_98_98 = e21) & ~ (all_0_99_99 = e20) & ~ (all_0_124_124 = e23)) | (all_0_127_127 = e22 & all_0_130_130 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)) | (all_0_127_127 = e21 & all_0_130_130 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)) | (all_0_128_128 = e22 & all_0_134_134 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)) | (all_0_131_131 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20))
% 14.72/3.88 |
% 14.72/3.88 +-Applying beta-rule and splitting (1193), into two cases.
% 14.72/3.88 |-Branch one:
% 14.72/3.88 | (1194) (all_0_125_125 = e23 & all_0_133_133 = e23 & ~ (all_0_98_98 = e21) & ~ (all_0_99_99 = e20) & ~ (all_0_124_124 = e23)) | (all_0_127_127 = e22 & all_0_130_130 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)) | (all_0_127_127 = e21 & all_0_130_130 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)) | (all_0_128_128 = e22 & all_0_134_134 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22))
% 14.72/3.88 |
% 14.72/3.88 +-Applying beta-rule and splitting (1194), into two cases.
% 14.72/3.88 |-Branch one:
% 14.72/3.88 | (1195) (all_0_125_125 = e23 & all_0_133_133 = e23 & ~ (all_0_98_98 = e21) & ~ (all_0_99_99 = e20) & ~ (all_0_124_124 = e23)) | (all_0_127_127 = e22 & all_0_130_130 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)) | (all_0_127_127 = e21 & all_0_130_130 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20))
% 14.72/3.88 |
% 14.72/3.88 +-Applying beta-rule and splitting (1195), into two cases.
% 14.72/3.88 |-Branch one:
% 14.72/3.88 | (1196) (all_0_125_125 = e23 & all_0_133_133 = e23 & ~ (all_0_98_98 = e21) & ~ (all_0_99_99 = e20) & ~ (all_0_124_124 = e23)) | (all_0_127_127 = e22 & all_0_130_130 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22))
% 14.72/3.88 |
% 14.72/3.88 +-Applying beta-rule and splitting (1196), into two cases.
% 14.72/3.88 |-Branch one:
% 14.72/3.88 | (1197) all_0_125_125 = e23 & all_0_133_133 = e23 & ~ (all_0_98_98 = e21) & ~ (all_0_99_99 = e20) & ~ (all_0_124_124 = e23)
% 14.72/3.88 |
% 14.72/3.88 | Applying alpha-rule on (1197) yields:
% 14.72/3.88 | (1198) ~ (all_0_98_98 = e21)
% 14.72/3.88 | (1199) ~ (all_0_99_99 = e20)
% 14.72/3.88 | (438) all_0_133_133 = e23
% 14.72/3.88 | (493) all_0_125_125 = e23
% 14.72/3.88 | (1133) ~ (all_0_124_124 = e23)
% 14.72/3.88 |
% 14.72/3.88 | Combining equations (438,431) yields a new equation:
% 14.72/3.88 | (489) e23 = e20
% 14.72/3.88 |
% 14.72/3.88 | Simplifying 489 yields:
% 14.72/3.88 | (490) e23 = e20
% 14.72/3.88 |
% 14.72/3.88 | Equations (490) can reduce 288 to:
% 14.72/3.88 | (424) $false
% 14.72/3.88 |
% 14.72/3.88 |-The branch is then unsatisfiable
% 14.72/3.88 |-Branch two:
% 14.72/3.88 | (1205) all_0_127_127 = e22 & all_0_130_130 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)
% 14.72/3.88 |
% 14.72/3.88 | Applying alpha-rule on (1205) yields:
% 14.72/3.88 | (1206) ~ (all_0_100_100 = e23)
% 14.72/3.88 | (1207) all_0_127_127 = e22
% 14.72/3.88 | (1208) ~ (all_0_102_102 = e20)
% 14.72/3.88 | (1209) ~ (all_0_101_101 = e21)
% 14.72/3.88 | (518) ~ (all_0_126_126 = e22)
% 14.72/3.88 | (508) all_0_130_130 = e22
% 14.72/3.88 |
% 14.72/3.88 | Combining equations (1110,1207) yields a new equation:
% 14.72/3.88 | (1182) e22 = e21
% 14.72/3.88 |
% 14.72/3.88 | Equations (1182) can reduce 257 to:
% 14.72/3.88 | (424) $false
% 14.72/3.88 |
% 14.72/3.88 |-The branch is then unsatisfiable
% 14.72/3.88 |-Branch two:
% 14.72/3.88 | (1215) all_0_127_127 = e21 & all_0_130_130 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)
% 14.72/3.88 |
% 14.72/3.88 | Applying alpha-rule on (1215) yields:
% 14.72/3.88 | (1216) ~ (all_0_104_104 = e22)
% 14.72/3.88 | (1110) all_0_127_127 = e21
% 14.72/3.88 | (1218) ~ (all_0_106_106 = e20)
% 14.72/3.88 | (1219) ~ (all_0_105_105 = e21)
% 14.72/3.88 | (420) all_0_130_130 = e21
% 14.72/3.88 | (1221) ~ (all_0_103_103 = e23)
% 14.72/3.88 |
% 14.72/3.88 | Combining equations (508,420) yields a new equation:
% 14.72/3.88 | (1181) e22 = e21
% 14.72/3.88 |
% 14.72/3.88 | Simplifying 1181 yields:
% 14.72/3.88 | (1182) e22 = e21
% 14.72/3.88 |
% 14.72/3.88 | Equations (1182) can reduce 257 to:
% 14.72/3.88 | (424) $false
% 14.72/3.88 |
% 14.72/3.88 |-The branch is then unsatisfiable
% 14.72/3.88 |-Branch two:
% 14.72/3.88 | (1224) all_0_128_128 = e22 & all_0_134_134 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)
% 14.72/3.88 |
% 14.72/3.88 | Applying alpha-rule on (1224) yields:
% 14.72/3.88 | (1206) ~ (all_0_100_100 = e23)
% 14.72/3.88 | (426) all_0_134_134 = e22
% 14.72/3.88 | (1122) all_0_128_128 = e22
% 14.72/3.88 | (1208) ~ (all_0_102_102 = e20)
% 14.72/3.88 | (1209) ~ (all_0_101_101 = e21)
% 14.72/3.88 | (518) ~ (all_0_126_126 = e22)
% 14.72/3.88 |
% 14.72/3.88 | Combining equations (1115,1122) yields a new equation:
% 14.72/3.88 | (459) e22 = e20
% 14.72/3.88 |
% 14.72/3.88 | Combining equations (423,426) yields a new equation:
% 14.72/3.88 | (1182) e22 = e21
% 14.72/3.88 |
% 14.72/3.88 | Combining equations (459,1182) yields a new equation:
% 14.72/3.88 | (1170) e21 = e20
% 14.72/3.88 |
% 14.72/3.88 | Equations (1170) can reduce 348 to:
% 14.72/3.88 | (424) $false
% 14.72/3.88 |
% 14.72/3.88 |-The branch is then unsatisfiable
% 14.72/3.88 |-Branch two:
% 14.72/3.88 | (1234) all_0_131_131 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)
% 14.72/3.88 |
% 14.72/3.88 | Applying alpha-rule on (1234) yields:
% 14.72/3.88 | (1235) all_0_131_131 = e21
% 14.72/3.88 | (1216) ~ (all_0_104_104 = e22)
% 14.72/3.88 | (1218) ~ (all_0_106_106 = e20)
% 14.72/3.88 | (1219) ~ (all_0_105_105 = e21)
% 14.72/3.88 | (1221) ~ (all_0_103_103 = e23)
% 14.72/3.88 |
% 14.72/3.88 | Combining equations (458,1235) yields a new equation:
% 14.72/3.88 | (1170) e21 = e20
% 14.72/3.88 |
% 14.72/3.88 | Equations (1170) can reduce 348 to:
% 14.72/3.88 | (424) $false
% 14.72/3.88 |
% 14.72/3.88 |-The branch is then unsatisfiable
% 14.72/3.88 |-Branch two:
% 14.72/3.88 | (1243) all_0_132_132 = e21 & all_0_135_135 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)
% 14.72/3.88 |
% 14.72/3.88 | Applying alpha-rule on (1243) yields:
% 14.72/3.88 | (1244) all_0_135_135 = e21
% 14.72/3.88 | (1186) all_0_132_132 = e21
% 14.72/3.88 | (1216) ~ (all_0_104_104 = e22)
% 14.72/3.88 | (1218) ~ (all_0_106_106 = e20)
% 14.72/3.88 | (1219) ~ (all_0_105_105 = e21)
% 14.72/3.88 | (1221) ~ (all_0_103_103 = e23)
% 14.72/3.89 |
% 14.72/3.89 | Equations (1244) can reduce 502 to:
% 14.72/3.89 | (424) $false
% 14.72/3.89 |
% 14.72/3.89 |-The branch is then unsatisfiable
% 14.72/3.89 |-Branch two:
% 14.72/3.89 | (1252) ~ (all_0_107_107 = e23) & ~ (all_0_108_108 = e22) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & (all_0_136_136 = e20 | (all_0_132_132 = e20 & all_0_135_135 = e20))
% 14.72/3.89 |
% 14.72/3.89 | Applying alpha-rule on (1252) yields:
% 14.72/3.89 | (1253) ~ (all_0_109_109 = e21)
% 14.72/3.89 | (1254) ~ (all_0_108_108 = e22)
% 14.72/3.89 | (1255) all_0_136_136 = e20 | (all_0_132_132 = e20 & all_0_135_135 = e20)
% 14.72/3.89 | (1256) ~ (all_0_110_110 = e20)
% 14.72/3.89 | (1257) ~ (all_0_107_107 = e23)
% 14.72/3.89 |
% 14.72/3.89 | Equations (1815) can reduce 1254 to:
% 14.72/3.89 | (1301) ~ (all_0_135_135 = e22)
% 14.72/3.89 |
% 14.72/3.89 +-Applying beta-rule and splitting (381), into two cases.
% 14.72/3.89 |-Branch one:
% 14.72/3.89 | (435) all_0_133_133 = e22
% 14.72/3.89 |
% 14.72/3.89 | Combining equations (435,431) yields a new equation:
% 14.72/3.89 | (1287) e22 = e20
% 14.72/3.89 |
% 14.72/3.89 | Simplifying 1287 yields:
% 14.72/3.89 | (459) e22 = e20
% 14.72/3.89 |
% 14.72/3.89 | Equations (459) can reduce 125 to:
% 14.72/3.89 | (424) $false
% 14.72/3.89 |
% 14.72/3.89 |-The branch is then unsatisfiable
% 14.72/3.89 |-Branch two:
% 14.72/3.89 | (427) ~ (all_0_133_133 = e22)
% 14.72/3.89 | (1927) all_0_134_134 = e22 | all_0_135_135 = e22 | all_0_136_136 = e22
% 14.72/3.89 |
% 14.72/3.89 +-Applying beta-rule and splitting (1927), into two cases.
% 14.72/3.89 |-Branch one:
% 14.72/3.89 | (426) all_0_134_134 = e22
% 14.72/3.89 |
% 14.72/3.89 | Combining equations (426,423) yields a new equation:
% 14.72/3.89 | (1181) e22 = e21
% 14.72/3.89 |
% 14.72/3.89 | Simplifying 1181 yields:
% 14.72/3.89 | (1182) e22 = e21
% 14.72/3.89 |
% 14.72/3.89 | Equations (1182) can reduce 257 to:
% 14.72/3.89 | (424) $false
% 14.72/3.89 |
% 14.72/3.89 |-The branch is then unsatisfiable
% 14.72/3.89 |-Branch two:
% 14.72/3.89 | (1805) ~ (all_0_134_134 = e22)
% 14.72/3.89 | (1933) all_0_135_135 = e22 | all_0_136_136 = e22
% 14.72/3.89 |
% 14.72/3.89 +-Applying beta-rule and splitting (1933), into two cases.
% 14.72/3.89 |-Branch one:
% 14.72/3.89 | (1773) all_0_135_135 = e22
% 14.72/3.89 |
% 14.72/3.89 | Equations (1773) can reduce 1301 to:
% 14.72/3.89 | (424) $false
% 14.72/3.89 |
% 14.72/3.89 |-The branch is then unsatisfiable
% 14.72/3.89 |-Branch two:
% 14.72/3.89 | (1301) ~ (all_0_135_135 = e22)
% 14.72/3.89 | (496) all_0_136_136 = e22
% 14.72/3.89 |
% 14.72/3.89 | Equations (496) can reduce 277 to:
% 14.72/3.89 | (492) ~ (all_0_125_125 = e22)
% 14.72/3.89 |
% 14.72/3.89 +-Applying beta-rule and splitting (90), into two cases.
% 14.72/3.89 |-Branch one:
% 14.72/3.89 | (464) all_0_125_125 = e22
% 14.72/3.89 |
% 14.72/3.89 | Equations (464) can reduce 492 to:
% 14.72/3.89 | (424) $false
% 14.72/3.89 |
% 14.72/3.89 |-The branch is then unsatisfiable
% 14.72/3.89 |-Branch two:
% 14.72/3.89 | (492) ~ (all_0_125_125 = e22)
% 14.72/3.89 | (493) all_0_125_125 = e23
% 14.72/3.89 |
% 14.72/3.89 | Equations (493) can reduce 176 to:
% 14.72/3.89 | (1133) ~ (all_0_124_124 = e23)
% 14.72/3.89 |
% 14.72/3.89 +-Applying beta-rule and splitting (79), into two cases.
% 14.72/3.89 |-Branch one:
% 14.72/3.89 | (446) all_0_124_124 = e22
% 14.72/3.89 |
% 14.72/3.89 | Equations (446) can reduce 328 to:
% 14.72/3.89 | (125) ~ (e22 = e20)
% 14.72/3.89 |
% 14.72/3.89 +-Applying beta-rule and splitting (1255), into two cases.
% 14.72/3.89 |-Branch one:
% 14.72/3.89 | (1159) all_0_136_136 = e20
% 14.72/3.89 |
% 14.72/3.89 | Combining equations (1159,496) yields a new equation:
% 14.72/3.89 | (459) e22 = e20
% 14.72/3.89 |
% 14.72/3.89 | Equations (459) can reduce 125 to:
% 14.72/3.89 | (424) $false
% 14.72/3.89 |
% 14.72/3.89 |-The branch is then unsatisfiable
% 14.72/3.89 |-Branch two:
% 14.72/3.89 | (1315) ~ (all_0_136_136 = e20)
% 14.72/3.89 | (1950) all_0_132_132 = e20 & all_0_135_135 = e20
% 14.72/3.89 |
% 14.72/3.89 | Applying alpha-rule on (1950) yields:
% 14.72/3.89 | (462) all_0_132_132 = e20
% 14.72/3.89 | (476) all_0_135_135 = e20
% 14.72/3.89 |
% 14.72/3.89 | Combining equations (462,1186) yields a new equation:
% 14.72/3.89 | (1170) e21 = e20
% 14.72/3.89 |
% 14.72/3.89 | Equations (1170) can reduce 348 to:
% 14.72/3.89 | (424) $false
% 14.72/3.89 |
% 14.72/3.89 |-The branch is then unsatisfiable
% 14.72/3.89 |-Branch two:
% 14.72/3.89 | (445) ~ (all_0_124_124 = e22)
% 14.72/3.89 | (449) all_0_124_124 = e23
% 14.72/3.89 |
% 14.72/3.89 | Equations (449) can reduce 1133 to:
% 14.72/3.89 | (424) $false
% 14.72/3.89 |
% 14.72/3.89 |-The branch is then unsatisfiable
% 14.72/3.89 |-Branch two:
% 14.72/3.89 | (419) ~ (all_0_133_133 = e20)
% 14.72/3.89 | (434) all_0_133_133 = e23 | all_0_133_133 = e22
% 14.72/3.89 |
% 14.72/3.89 +-Applying beta-rule and splitting (434), into two cases.
% 14.72/3.89 |-Branch one:
% 14.72/3.89 | (435) all_0_133_133 = e22
% 14.72/3.89 |
% 14.72/3.89 | Equations (435) can reduce 427 to:
% 14.72/3.89 | (424) $false
% 14.72/3.89 |
% 14.72/3.89 |-The branch is then unsatisfiable
% 14.72/3.89 |-Branch two:
% 14.72/3.89 | (427) ~ (all_0_133_133 = e22)
% 14.72/3.89 | (438) all_0_133_133 = e23
% 14.72/3.89 |
% 14.72/3.89 | Equations (438) can reduce 527 to:
% 14.72/3.89 | (424) $false
% 14.72/3.89 |
% 14.72/3.89 |-The branch is then unsatisfiable
% 14.72/3.89 |-Branch two:
% 14.72/3.89 | (461) ~ (all_0_131_131 = e20)
% 14.72/3.89 | (1159) all_0_136_136 = e20
% 14.72/3.89 |
% 14.72/3.89 | Equations (1159) can reduce 1315 to:
% 14.72/3.89 | (424) $false
% 14.72/3.89 |
% 14.72/3.89 |-The branch is then unsatisfiable
% 14.72/3.89 |-Branch two:
% 14.72/3.89 | (1269) ~ (all_0_132_132 = e21)
% 14.72/3.89 | (1270) all_0_136_136 = e21
% 14.72/3.89 |
% 14.72/3.89 | Equations (1270) can reduce 504 to:
% 14.72/3.89 | (424) $false
% 14.72/3.89 |
% 14.72/3.89 |-The branch is then unsatisfiable
% 14.72/3.89 |-Branch two:
% 14.72/3.89 | (415) ~ (all_0_128_128 = e20)
% 14.72/3.89 | (1118) all_0_128_128 = e22 | all_0_128_128 = e21
% 14.72/3.89 |
% 14.72/3.89 +-Applying beta-rule and splitting (1118), into two cases.
% 14.72/3.89 |-Branch one:
% 14.72/3.89 | (1119) all_0_128_128 = e21
% 14.72/3.89 |
% 14.72/3.89 | Equations (1119) can reduce 1112 to:
% 14.72/3.89 | (424) $false
% 14.72/3.89 |
% 14.72/3.89 |-The branch is then unsatisfiable
% 14.72/3.89 |-Branch two:
% 14.72/3.89 | (1112) ~ (all_0_128_128 = e21)
% 14.72/3.89 | (1122) all_0_128_128 = e22
% 14.72/3.89 |
% 14.72/3.89 | Equations (1122) can reduce 1283 to:
% 14.72/3.89 | (424) $false
% 14.72/3.89 |
% 14.72/3.89 |-The branch is then unsatisfiable
% 14.72/3.89 |-Branch two:
% 14.72/3.89 | (1277) ~ (all_0_127_127 = e21)
% 14.72/3.89 | (1119) all_0_128_128 = e21
% 14.72/3.89 |
% 14.72/3.89 | Equations (1119) can reduce 60 to:
% 14.72/3.89 | (350) ~ (all_0_125_125 = e21)
% 14.72/3.89 |
% 14.72/3.89 | Equations (1119) can reduce 259 to:
% 14.72/3.89 | (1309) ~ (all_0_132_132 = e21)
% 14.72/3.89 |
% 14.72/3.89 | Simplifying 1309 yields:
% 14.72/3.89 | (1269) ~ (all_0_132_132 = e21)
% 14.72/3.89 |
% 14.72/3.89 | Equations (1119) can reduce 1283 to:
% 14.72/3.89 | (1189) ~ (e22 = e21)
% 14.72/3.89 |
% 14.72/3.89 | Simplifying 1189 yields:
% 14.72/3.89 | (257) ~ (e22 = e21)
% 14.72/3.89 |
% 14.72/3.89 +-Applying beta-rule and splitting (264), into two cases.
% 14.72/3.89 |-Branch one:
% 14.72/3.89 | (420) all_0_130_130 = e21
% 14.72/3.89 |
% 14.72/3.89 | Combining equations (420,508) yields a new equation:
% 14.72/3.89 | (1182) e22 = e21
% 14.72/3.89 |
% 14.72/3.89 | Equations (1182) can reduce 257 to:
% 14.72/3.89 | (424) $false
% 14.72/3.89 |
% 14.72/3.89 |-The branch is then unsatisfiable
% 14.72/3.89 |-Branch two:
% 14.72/3.89 | (440) ~ (all_0_130_130 = e21)
% 14.72/3.89 | (1765) all_0_131_131 = e21 | all_0_132_132 = e21
% 14.72/3.89 |
% 14.72/3.89 +-Applying beta-rule and splitting (124), into two cases.
% 14.72/3.89 |-Branch one:
% 14.72/3.89 | (468) all_0_127_127 = e20
% 14.72/3.89 |
% 14.72/3.89 | Equations (468) can reduce 159 to:
% 14.72/3.89 | (1991) ~ (all_0_131_131 = e20)
% 14.72/3.89 |
% 14.72/3.89 | Simplifying 1991 yields:
% 14.72/3.89 | (461) ~ (all_0_131_131 = e20)
% 14.72/3.89 |
% 14.72/3.89 | Equations (468) can reduce 106 to:
% 14.72/3.89 | (1993) ~ (all_0_135_135 = e20)
% 14.72/3.89 |
% 14.72/3.89 | Simplifying 1993 yields:
% 14.72/3.89 | (1158) ~ (all_0_135_135 = e20)
% 14.72/3.89 |
% 14.72/3.89 +-Applying beta-rule and splitting (1765), into two cases.
% 14.72/3.89 |-Branch one:
% 14.72/3.89 | (1235) all_0_131_131 = e21
% 14.72/3.89 |
% 14.72/3.89 | Equations (1235) can reduce 341 to:
% 14.72/3.89 | (128) ~ (all_0_124_124 = e21)
% 14.72/3.89 |
% 14.72/3.89 | Equations (1235) can reduce 31 to:
% 14.72/3.89 | (1309) ~ (all_0_132_132 = e21)
% 14.72/3.89 |
% 14.72/3.89 | Simplifying 1309 yields:
% 14.72/3.89 | (1269) ~ (all_0_132_132 = e21)
% 14.72/3.89 |
% 14.72/3.89 | Equations (1235) can reduce 127 to:
% 14.72/3.89 | (501) ~ (all_0_135_135 = e21)
% 14.72/3.89 |
% 14.72/3.89 | Simplifying 501 yields:
% 14.72/3.89 | (502) ~ (all_0_135_135 = e21)
% 14.72/3.89 |
% 14.72/3.89 | Equations (1235) can reduce 461 to:
% 14.72/3.89 | (348) ~ (e21 = e20)
% 14.72/3.89 |
% 14.72/3.89 | From (1235)(1235) and (164) follows:
% 14.72/3.89 | (2002) op2(e21, e21) = all_0_94_94
% 14.72/3.89 |
% 14.72/3.89 | From (1235) and (97) follows:
% 14.72/3.89 | (2003) op2(e21, e21) = all_0_95_95
% 14.72/3.89 |
% 14.72/3.89 | From (1235) and (73) follows:
% 14.72/3.89 | (2004) op2(e21, e21) = all_0_105_105
% 14.72/3.89 |
% 14.72/3.89 | From (1235) and (198) follows:
% 14.72/3.89 | (2005) op2(e21, e21) = e21
% 14.72/3.89 |
% 14.72/3.89 | Instantiating formula (272) with e21, e21, all_0_95_95, all_0_94_94 and discharging atoms op2(e21, e21) = all_0_94_94, op2(e21, e21) = all_0_95_95, yields:
% 14.72/3.89 | (2006) all_0_94_94 = all_0_95_95
% 14.72/3.89 |
% 14.72/3.89 | Instantiating formula (272) with e21, e21, all_0_105_105, all_0_95_95 and discharging atoms op2(e21, e21) = all_0_95_95, op2(e21, e21) = all_0_105_105, yields:
% 14.72/3.89 | (2007) all_0_95_95 = all_0_105_105
% 14.72/3.89 |
% 14.72/3.89 | Instantiating formula (272) with e21, e21, e21, all_0_94_94 and discharging atoms op2(e21, e21) = all_0_94_94, op2(e21, e21) = e21, yields:
% 14.72/3.90 | (2008) all_0_94_94 = e21
% 14.72/3.90 |
% 14.72/3.90 | Combining equations (2006,2008) yields a new equation:
% 14.72/3.90 | (2009) all_0_95_95 = e21
% 14.72/3.90 |
% 14.72/3.90 | Simplifying 2009 yields:
% 14.72/3.90 | (2010) all_0_95_95 = e21
% 14.72/3.90 |
% 14.72/3.90 | Combining equations (2007,2010) yields a new equation:
% 14.72/3.90 | (2011) all_0_105_105 = e21
% 14.72/3.90 |
% 14.72/3.90 | Simplifying 2011 yields:
% 14.72/3.90 | (2012) all_0_105_105 = e21
% 14.72/3.90 |
% 14.72/3.90 +-Applying beta-rule and splitting (79), into two cases.
% 14.72/3.90 |-Branch one:
% 14.72/3.90 | (446) all_0_124_124 = e22
% 14.72/3.90 |
% 14.72/3.90 | Equations (446) can reduce 176 to:
% 14.72/3.90 | (2014) ~ (all_0_125_125 = e22)
% 14.72/3.90 |
% 14.72/3.90 | Simplifying 2014 yields:
% 14.72/3.90 | (492) ~ (all_0_125_125 = e22)
% 14.72/3.90 |
% 14.72/3.90 | Equations (446) can reduce 9 to:
% 14.72/3.90 | (1300) ~ (all_0_135_135 = e22)
% 14.72/3.90 |
% 14.72/3.90 | Simplifying 1300 yields:
% 14.72/3.90 | (1301) ~ (all_0_135_135 = e22)
% 14.72/3.90 |
% 14.72/3.90 | Equations (446) can reduce 128 to:
% 14.72/3.90 | (257) ~ (e22 = e21)
% 14.72/3.90 |
% 14.72/3.90 +-Applying beta-rule and splitting (306), into two cases.
% 14.72/3.90 |-Branch one:
% 14.72/3.90 | (449) all_0_124_124 = e23
% 14.72/3.90 |
% 14.72/3.90 | Combining equations (446,449) yields a new equation:
% 14.72/3.90 | (485) e23 = e22
% 14.72/3.90 |
% 14.72/3.90 | Equations (485) can reduce 38 to:
% 14.72/3.90 | (424) $false
% 14.72/3.90 |
% 14.72/3.90 |-The branch is then unsatisfiable
% 14.72/3.90 |-Branch two:
% 14.72/3.90 | (1133) ~ (all_0_124_124 = e23)
% 14.72/3.90 | (493) all_0_125_125 = e23
% 14.72/3.90 |
% 14.72/3.90 | Equations (493) can reduce 282 to:
% 14.72/3.90 | (1143) ~ (all_0_132_132 = e23)
% 14.72/3.90 |
% 14.72/3.90 | Simplifying 1143 yields:
% 14.72/3.90 | (1144) ~ (all_0_132_132 = e23)
% 14.72/3.90 |
% 14.72/3.90 | Equations (493) can reduce 492 to:
% 14.72/3.90 | (38) ~ (e23 = e22)
% 14.72/3.90 |
% 14.72/3.90 +-Applying beta-rule and splitting (185), into two cases.
% 14.72/3.90 |-Branch one:
% 14.72/3.90 | (451) ~ (all_0_125_125 = e23)
% 14.72/3.90 |
% 14.72/3.90 | Equations (493) can reduce 451 to:
% 14.72/3.90 | (424) $false
% 14.72/3.90 |
% 14.72/3.90 |-The branch is then unsatisfiable
% 14.72/3.90 |-Branch two:
% 14.72/3.90 | (493) all_0_125_125 = e23
% 14.72/3.90 | (1834) all_0_131_131 = e20 | all_0_136_136 = e20
% 14.72/3.90 |
% 14.72/3.90 +-Applying beta-rule and splitting (367), into two cases.
% 14.72/3.90 |-Branch one:
% 14.72/3.90 | (464) all_0_125_125 = e22
% 14.72/3.90 |
% 14.72/3.90 | Combining equations (493,464) yields a new equation:
% 14.72/3.90 | (484) e23 = e22
% 14.72/3.90 |
% 14.72/3.90 | Simplifying 484 yields:
% 14.72/3.90 | (485) e23 = e22
% 14.72/3.90 |
% 14.72/3.90 | Equations (485) can reduce 38 to:
% 14.72/3.90 | (424) $false
% 14.72/3.90 |
% 14.72/3.90 |-The branch is then unsatisfiable
% 14.72/3.90 |-Branch two:
% 14.72/3.90 | (492) ~ (all_0_125_125 = e22)
% 14.72/3.90 | (2036) all_0_128_128 = e22 | all_0_132_132 = e22 | all_0_136_136 = e22
% 14.72/3.90 |
% 14.72/3.90 +-Applying beta-rule and splitting (2036), into two cases.
% 14.72/3.90 |-Branch one:
% 14.72/3.90 | (1122) all_0_128_128 = e22
% 14.72/3.90 |
% 14.72/3.90 | Combining equations (1119,1122) yields a new equation:
% 14.72/3.90 | (1182) e22 = e21
% 14.72/3.90 |
% 14.72/3.90 | Equations (1182) can reduce 257 to:
% 14.72/3.90 | (424) $false
% 14.72/3.90 |
% 14.72/3.90 |-The branch is then unsatisfiable
% 14.72/3.90 |-Branch two:
% 14.72/3.90 | (1283) ~ (all_0_128_128 = e22)
% 14.72/3.90 | (2041) all_0_132_132 = e22 | all_0_136_136 = e22
% 14.72/3.90 |
% 14.72/3.90 | Equations (1119) can reduce 1283 to:
% 14.72/3.90 | (1189) ~ (e22 = e21)
% 14.72/3.90 |
% 14.72/3.90 | Simplifying 1189 yields:
% 14.72/3.90 | (257) ~ (e22 = e21)
% 14.72/3.90 |
% 14.72/3.90 +-Applying beta-rule and splitting (381), into two cases.
% 14.72/3.90 |-Branch one:
% 14.72/3.90 | (435) all_0_133_133 = e22
% 14.72/3.90 |
% 14.72/3.90 | Equations (435) can reduce 427 to:
% 14.72/3.90 | (424) $false
% 14.72/3.90 |
% 14.72/3.90 |-The branch is then unsatisfiable
% 14.72/3.90 |-Branch two:
% 14.72/3.90 | (427) ~ (all_0_133_133 = e22)
% 14.72/3.90 | (1927) all_0_134_134 = e22 | all_0_135_135 = e22 | all_0_136_136 = e22
% 14.72/3.90 |
% 14.72/3.90 +-Applying beta-rule and splitting (1927), into two cases.
% 14.72/3.90 |-Branch one:
% 14.72/3.90 | (426) all_0_134_134 = e22
% 14.72/3.90 |
% 14.72/3.90 | Combining equations (423,426) yields a new equation:
% 14.72/3.90 | (1182) e22 = e21
% 14.72/3.90 |
% 14.72/3.90 | Equations (1182) can reduce 257 to:
% 14.72/3.90 | (424) $false
% 14.72/3.90 |
% 14.72/3.90 |-The branch is then unsatisfiable
% 14.72/3.90 |-Branch two:
% 14.72/3.90 | (1805) ~ (all_0_134_134 = e22)
% 14.72/3.90 | (1933) all_0_135_135 = e22 | all_0_136_136 = e22
% 14.72/3.90 |
% 14.72/3.90 +-Applying beta-rule and splitting (1933), into two cases.
% 14.72/3.90 |-Branch one:
% 14.72/3.90 | (1773) all_0_135_135 = e22
% 14.72/3.90 |
% 14.72/3.90 | Equations (1773) can reduce 1301 to:
% 14.72/3.90 | (424) $false
% 14.72/3.90 |
% 14.72/3.90 |-The branch is then unsatisfiable
% 14.72/3.90 |-Branch two:
% 14.72/3.90 | (1301) ~ (all_0_135_135 = e22)
% 14.72/3.90 | (496) all_0_136_136 = e22
% 14.72/3.90 |
% 14.72/3.90 | Equations (496) can reduce 360 to:
% 14.72/3.90 | (1125) ~ (all_0_132_132 = e22)
% 14.72/3.90 |
% 14.72/3.90 | Equations (496) can reduce 248 to:
% 14.72/3.90 | (427) ~ (all_0_133_133 = e22)
% 14.72/3.90 |
% 14.72/3.90 +-Applying beta-rule and splitting (119), into two cases.
% 14.72/3.90 |-Branch one:
% 14.72/3.90 | (462) all_0_132_132 = e20
% 14.72/3.90 |
% 14.72/3.90 | Equations (462) can reduce 98 to:
% 14.72/3.90 | (417) ~ (all_0_129_129 = e20)
% 14.72/3.90 |
% 14.72/3.90 +-Applying beta-rule and splitting (166), into two cases.
% 14.72/3.90 |-Branch one:
% 14.72/3.90 | (454) all_0_129_129 = e20
% 14.72/3.90 |
% 14.72/3.90 | Equations (454) can reduce 417 to:
% 14.72/3.90 | (424) $false
% 14.72/3.90 |
% 14.72/3.90 |-The branch is then unsatisfiable
% 14.72/3.90 |-Branch two:
% 14.72/3.90 | (417) ~ (all_0_129_129 = e20)
% 14.72/3.90 | (514) all_0_129_129 = e23 | all_0_129_129 = e22
% 14.72/3.90 |
% 14.72/3.90 +-Applying beta-rule and splitting (514), into two cases.
% 14.72/3.90 |-Branch one:
% 14.72/3.90 | (520) all_0_129_129 = e22
% 14.72/3.90 |
% 14.72/3.90 | Equations (520) can reduce 509 to:
% 14.72/3.90 | (424) $false
% 14.72/3.90 |
% 14.72/3.90 |-The branch is then unsatisfiable
% 14.72/3.90 |-Branch two:
% 14.72/3.90 | (509) ~ (all_0_129_129 = e22)
% 14.72/3.90 | (479) all_0_129_129 = e23
% 14.72/3.90 |
% 14.72/3.90 | Equations (479) can reduce 50 to:
% 14.72/3.90 | (526) ~ (all_0_133_133 = e23)
% 14.72/3.90 |
% 14.72/3.90 | Simplifying 526 yields:
% 14.72/3.90 | (527) ~ (all_0_133_133 = e23)
% 14.72/3.90 |
% 14.72/3.90 +-Applying beta-rule and splitting (352), into two cases.
% 14.72/3.90 |-Branch one:
% 14.72/3.90 | (431) all_0_133_133 = e20
% 14.72/3.90 |
% 14.72/3.90 | Equations (431) can reduce 427 to:
% 14.72/3.90 | (1851) ~ (e22 = e20)
% 14.72/3.90 |
% 14.72/3.90 | Simplifying 1851 yields:
% 14.72/3.90 | (125) ~ (e22 = e20)
% 14.72/3.90 |
% 14.72/3.90 | Equations (431) can reduce 204 to:
% 14.72/3.90 | (1162) ~ (e21 = e20)
% 14.72/3.90 |
% 14.72/3.90 | Simplifying 1162 yields:
% 14.72/3.90 | (348) ~ (e21 = e20)
% 14.72/3.90 |
% 14.72/3.90 +-Applying beta-rule and splitting (1834), into two cases.
% 14.72/3.90 |-Branch one:
% 14.72/3.90 | (458) all_0_131_131 = e20
% 14.72/3.90 |
% 14.72/3.90 | Combining equations (1235,458) yields a new equation:
% 14.72/3.90 | (1169) e21 = e20
% 14.72/3.90 |
% 14.72/3.90 | Simplifying 1169 yields:
% 14.72/3.90 | (1170) e21 = e20
% 14.72/3.90 |
% 14.72/3.90 | Equations (1170) can reduce 348 to:
% 14.72/3.90 | (424) $false
% 14.72/3.90 |
% 14.72/3.90 |-The branch is then unsatisfiable
% 14.72/3.90 |-Branch two:
% 14.72/3.90 | (461) ~ (all_0_131_131 = e20)
% 14.72/3.90 | (1159) all_0_136_136 = e20
% 14.72/3.90 |
% 14.72/3.90 | Combining equations (1159,496) yields a new equation:
% 14.72/3.90 | (459) e22 = e20
% 14.72/3.90 |
% 14.72/3.90 | Equations (459) can reduce 125 to:
% 14.72/3.90 | (424) $false
% 14.72/3.90 |
% 14.72/3.90 |-The branch is then unsatisfiable
% 14.72/3.90 |-Branch two:
% 14.72/3.90 | (419) ~ (all_0_133_133 = e20)
% 14.72/3.90 | (434) all_0_133_133 = e23 | all_0_133_133 = e22
% 14.72/3.90 |
% 14.72/3.90 +-Applying beta-rule and splitting (434), into two cases.
% 14.72/3.90 |-Branch one:
% 14.72/3.90 | (435) all_0_133_133 = e22
% 14.72/3.90 |
% 14.72/3.90 | Equations (435) can reduce 427 to:
% 14.72/3.90 | (424) $false
% 14.72/3.90 |
% 14.72/3.90 |-The branch is then unsatisfiable
% 14.72/3.90 |-Branch two:
% 14.72/3.90 | (427) ~ (all_0_133_133 = e22)
% 14.72/3.90 | (438) all_0_133_133 = e23
% 14.72/3.90 |
% 14.72/3.90 | Equations (438) can reduce 527 to:
% 14.72/3.90 | (424) $false
% 14.72/3.90 |
% 14.72/3.90 |-The branch is then unsatisfiable
% 14.72/3.90 |-Branch two:
% 14.72/3.90 | (1176) ~ (all_0_132_132 = e20)
% 14.72/3.90 | (2092) all_0_132_132 = e23 | all_0_132_132 = e22 | all_0_132_132 = e21
% 14.72/3.90 |
% 14.72/3.90 +-Applying beta-rule and splitting (2092), into two cases.
% 14.72/3.90 |-Branch one:
% 14.72/3.90 | (1186) all_0_132_132 = e21
% 14.72/3.90 |
% 14.72/3.90 | Equations (1186) can reduce 1269 to:
% 14.72/3.90 | (424) $false
% 14.72/3.90 |
% 14.72/3.90 |-The branch is then unsatisfiable
% 14.72/3.90 |-Branch two:
% 14.72/3.90 | (1269) ~ (all_0_132_132 = e21)
% 14.72/3.90 | (2096) all_0_132_132 = e23 | all_0_132_132 = e22
% 14.72/3.90 |
% 14.72/3.90 +-Applying beta-rule and splitting (2096), into two cases.
% 14.72/3.90 |-Branch one:
% 14.72/3.90 | (2097) all_0_132_132 = e22
% 14.72/3.90 |
% 14.72/3.90 | Equations (2097) can reduce 1125 to:
% 14.72/3.90 | (424) $false
% 14.72/3.90 |
% 14.72/3.90 |-The branch is then unsatisfiable
% 14.72/3.90 |-Branch two:
% 14.72/3.90 | (1125) ~ (all_0_132_132 = e22)
% 14.72/3.90 | (488) all_0_132_132 = e23
% 14.72/3.90 |
% 14.72/3.90 | Equations (488) can reduce 1144 to:
% 14.72/3.90 | (424) $false
% 14.72/3.90 |
% 14.72/3.90 |-The branch is then unsatisfiable
% 14.72/3.90 |-Branch two:
% 14.72/3.90 | (445) ~ (all_0_124_124 = e22)
% 14.72/3.90 | (449) all_0_124_124 = e23
% 14.72/3.90 |
% 14.72/3.90 | Equations (449) can reduce 9 to:
% 14.72/3.90 | (452) ~ (all_0_135_135 = e23)
% 14.72/3.90 |
% 14.72/3.90 | Simplifying 452 yields:
% 14.72/3.90 | (453) ~ (all_0_135_135 = e23)
% 14.72/3.90 |
% 14.72/3.90 | Equations (449) can reduce 445 to:
% 14.72/3.90 | (38) ~ (e23 = e22)
% 14.72/3.90 |
% 14.72/3.90 +-Applying beta-rule and splitting (215), into two cases.
% 14.72/3.90 |-Branch one:
% 14.72/3.90 | (446) all_0_124_124 = e22
% 14.72/3.90 |
% 14.72/3.90 | Combining equations (449,446) yields a new equation:
% 14.72/3.90 | (484) e23 = e22
% 14.72/3.90 |
% 14.72/3.90 | Simplifying 484 yields:
% 14.72/3.90 | (485) e23 = e22
% 14.72/3.90 |
% 14.72/3.90 | Equations (485) can reduce 38 to:
% 14.72/3.90 | (424) $false
% 14.72/3.90 |
% 14.72/3.90 |-The branch is then unsatisfiable
% 14.72/3.90 |-Branch two:
% 14.72/3.90 | (445) ~ (all_0_124_124 = e22)
% 14.72/3.90 | (464) all_0_125_125 = e22
% 14.72/3.90 |
% 14.72/3.90 | Equations (464) can reduce 277 to:
% 14.72/3.90 | (428) ~ (all_0_136_136 = e22)
% 14.72/3.90 |
% 14.72/3.90 | Simplifying 428 yields:
% 14.72/3.90 | (429) ~ (all_0_136_136 = e22)
% 14.72/3.90 |
% 14.72/3.90 | Equations (464) can reduce 350 to:
% 14.72/3.90 | (257) ~ (e22 = e21)
% 14.72/3.90 |
% 14.72/3.90 +-Applying beta-rule and splitting (381), into two cases.
% 14.72/3.90 |-Branch one:
% 14.72/3.90 | (435) all_0_133_133 = e22
% 14.72/3.90 |
% 14.72/3.90 | Equations (435) can reduce 427 to:
% 14.72/3.90 | (424) $false
% 14.72/3.90 |
% 14.72/3.90 |-The branch is then unsatisfiable
% 14.72/3.90 |-Branch two:
% 14.72/3.90 | (427) ~ (all_0_133_133 = e22)
% 14.72/3.90 | (1927) all_0_134_134 = e22 | all_0_135_135 = e22 | all_0_136_136 = e22
% 14.72/3.90 |
% 14.72/3.90 +-Applying beta-rule and splitting (1927), into two cases.
% 14.72/3.90 |-Branch one:
% 14.72/3.90 | (426) all_0_134_134 = e22
% 14.72/3.90 |
% 14.72/3.90 | Combining equations (423,426) yields a new equation:
% 14.72/3.90 | (1182) e22 = e21
% 14.72/3.90 |
% 14.72/3.90 | Equations (1182) can reduce 257 to:
% 14.72/3.90 | (424) $false
% 14.72/3.90 |
% 14.72/3.90 |-The branch is then unsatisfiable
% 14.72/3.90 |-Branch two:
% 14.72/3.90 | (1805) ~ (all_0_134_134 = e22)
% 14.72/3.90 | (1933) all_0_135_135 = e22 | all_0_136_136 = e22
% 14.72/3.90 |
% 14.72/3.90 +-Applying beta-rule and splitting (1933), into two cases.
% 14.72/3.90 |-Branch one:
% 14.72/3.91 | (1773) all_0_135_135 = e22
% 14.72/3.91 |
% 14.72/3.91 | Combining equations (1773,1815) yields a new equation:
% 14.72/3.91 | (2126) all_0_108_108 = e22
% 14.72/3.91 |
% 14.72/3.91 | Equations (1773) can reduce 453 to:
% 14.72/3.91 | (465) ~ (e23 = e22)
% 14.72/3.91 |
% 14.72/3.91 | Simplifying 465 yields:
% 14.72/3.91 | (38) ~ (e23 = e22)
% 14.72/3.91 |
% 14.72/3.91 | Equations (1773) can reduce 502 to:
% 14.72/3.91 | (257) ~ (e22 = e21)
% 14.72/3.91 |
% 14.72/3.91 | Equations (1773) can reduce 1158 to:
% 14.72/3.91 | (125) ~ (e22 = e20)
% 14.72/3.91 |
% 14.72/3.91 +-Applying beta-rule and splitting (109), into two cases.
% 14.72/3.91 |-Branch one:
% 14.72/3.91 | (1192) (all_0_125_125 = e23 & all_0_133_133 = e23 & ~ (all_0_98_98 = e21) & ~ (all_0_99_99 = e20) & ~ (all_0_124_124 = e23)) | (all_0_127_127 = e22 & all_0_130_130 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)) | (all_0_127_127 = e21 & all_0_130_130 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)) | (all_0_128_128 = e22 & all_0_134_134 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)) | (all_0_131_131 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)) | (all_0_132_132 = e21 & all_0_135_135 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20))
% 14.72/3.91 |
% 14.72/3.91 +-Applying beta-rule and splitting (1192), into two cases.
% 14.72/3.91 |-Branch one:
% 14.72/3.91 | (1193) (all_0_125_125 = e23 & all_0_133_133 = e23 & ~ (all_0_98_98 = e21) & ~ (all_0_99_99 = e20) & ~ (all_0_124_124 = e23)) | (all_0_127_127 = e22 & all_0_130_130 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)) | (all_0_127_127 = e21 & all_0_130_130 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)) | (all_0_128_128 = e22 & all_0_134_134 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)) | (all_0_131_131 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20))
% 14.72/3.91 |
% 14.72/3.91 +-Applying beta-rule and splitting (1193), into two cases.
% 14.72/3.91 |-Branch one:
% 14.72/3.91 | (1194) (all_0_125_125 = e23 & all_0_133_133 = e23 & ~ (all_0_98_98 = e21) & ~ (all_0_99_99 = e20) & ~ (all_0_124_124 = e23)) | (all_0_127_127 = e22 & all_0_130_130 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)) | (all_0_127_127 = e21 & all_0_130_130 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)) | (all_0_128_128 = e22 & all_0_134_134 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22))
% 14.72/3.91 |
% 14.72/3.91 +-Applying beta-rule and splitting (1194), into two cases.
% 14.72/3.91 |-Branch one:
% 14.72/3.91 | (1195) (all_0_125_125 = e23 & all_0_133_133 = e23 & ~ (all_0_98_98 = e21) & ~ (all_0_99_99 = e20) & ~ (all_0_124_124 = e23)) | (all_0_127_127 = e22 & all_0_130_130 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)) | (all_0_127_127 = e21 & all_0_130_130 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20))
% 14.72/3.91 |
% 14.72/3.91 +-Applying beta-rule and splitting (1195), into two cases.
% 14.72/3.91 |-Branch one:
% 14.72/3.91 | (1196) (all_0_125_125 = e23 & all_0_133_133 = e23 & ~ (all_0_98_98 = e21) & ~ (all_0_99_99 = e20) & ~ (all_0_124_124 = e23)) | (all_0_127_127 = e22 & all_0_130_130 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22))
% 14.72/3.91 |
% 14.72/3.91 +-Applying beta-rule and splitting (1196), into two cases.
% 14.72/3.91 |-Branch one:
% 14.72/3.91 | (1197) all_0_125_125 = e23 & all_0_133_133 = e23 & ~ (all_0_98_98 = e21) & ~ (all_0_99_99 = e20) & ~ (all_0_124_124 = e23)
% 14.72/3.91 |
% 14.72/3.91 | Applying alpha-rule on (1197) yields:
% 14.72/3.91 | (1198) ~ (all_0_98_98 = e21)
% 14.72/3.91 | (1199) ~ (all_0_99_99 = e20)
% 14.72/3.91 | (438) all_0_133_133 = e23
% 14.72/3.91 | (493) all_0_125_125 = e23
% 14.72/3.91 | (1133) ~ (all_0_124_124 = e23)
% 14.72/3.91 |
% 14.72/3.91 | Combining equations (493,464) yields a new equation:
% 14.72/3.91 | (484) e23 = e22
% 14.72/3.91 |
% 14.72/3.91 | Simplifying 484 yields:
% 14.72/3.91 | (485) e23 = e22
% 14.72/3.91 |
% 14.72/3.91 | Equations (485) can reduce 38 to:
% 14.72/3.91 | (424) $false
% 14.72/3.91 |
% 14.72/3.91 |-The branch is then unsatisfiable
% 14.72/3.91 |-Branch two:
% 14.72/3.91 | (1205) all_0_127_127 = e22 & all_0_130_130 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)
% 14.72/3.91 |
% 14.72/3.91 | Applying alpha-rule on (1205) yields:
% 14.72/3.91 | (1206) ~ (all_0_100_100 = e23)
% 14.72/3.91 | (1207) all_0_127_127 = e22
% 14.72/3.91 | (1208) ~ (all_0_102_102 = e20)
% 14.72/3.91 | (1209) ~ (all_0_101_101 = e21)
% 14.72/3.91 | (518) ~ (all_0_126_126 = e22)
% 14.72/3.91 | (508) all_0_130_130 = e22
% 14.72/3.91 |
% 14.72/3.91 | Combining equations (468,1207) yields a new equation:
% 14.72/3.91 | (459) e22 = e20
% 14.72/3.91 |
% 14.72/3.91 | Equations (459) can reduce 125 to:
% 14.72/3.91 | (424) $false
% 14.72/3.91 |
% 14.72/3.91 |-The branch is then unsatisfiable
% 14.72/3.91 |-Branch two:
% 14.72/3.91 | (1215) all_0_127_127 = e21 & all_0_130_130 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)
% 14.72/3.91 |
% 14.72/3.91 | Applying alpha-rule on (1215) yields:
% 14.72/3.91 | (1216) ~ (all_0_104_104 = e22)
% 14.72/3.91 | (1110) all_0_127_127 = e21
% 14.72/3.91 | (1218) ~ (all_0_106_106 = e20)
% 14.72/3.91 | (1219) ~ (all_0_105_105 = e21)
% 14.72/3.91 | (420) all_0_130_130 = e21
% 14.72/3.91 | (1221) ~ (all_0_103_103 = e23)
% 14.72/3.91 |
% 14.72/3.91 | Combining equations (468,1110) yields a new equation:
% 14.72/3.91 | (1170) e21 = e20
% 14.72/3.91 |
% 14.72/3.91 | Equations (1170) can reduce 348 to:
% 14.72/3.91 | (424) $false
% 14.72/3.91 |
% 14.72/3.91 |-The branch is then unsatisfiable
% 14.72/3.91 |-Branch two:
% 14.72/3.91 | (1224) all_0_128_128 = e22 & all_0_134_134 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)
% 14.72/3.91 |
% 14.72/3.91 | Applying alpha-rule on (1224) yields:
% 14.72/3.91 | (1206) ~ (all_0_100_100 = e23)
% 14.72/3.91 | (426) all_0_134_134 = e22
% 14.72/3.91 | (1122) all_0_128_128 = e22
% 14.72/3.91 | (1208) ~ (all_0_102_102 = e20)
% 14.72/3.91 | (1209) ~ (all_0_101_101 = e21)
% 14.72/3.91 | (518) ~ (all_0_126_126 = e22)
% 14.72/3.91 |
% 14.72/3.91 | Combining equations (423,426) yields a new equation:
% 14.72/3.91 | (1182) e22 = e21
% 14.72/3.91 |
% 14.72/3.91 | Equations (1182) can reduce 257 to:
% 14.72/3.91 | (424) $false
% 14.72/3.91 |
% 14.72/3.91 |-The branch is then unsatisfiable
% 14.72/3.91 |-Branch two:
% 14.72/3.91 | (1234) all_0_131_131 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)
% 14.72/3.91 |
% 14.72/3.91 | Applying alpha-rule on (1234) yields:
% 14.72/3.91 | (1235) all_0_131_131 = e21
% 14.72/3.91 | (1216) ~ (all_0_104_104 = e22)
% 14.72/3.91 | (1218) ~ (all_0_106_106 = e20)
% 14.72/3.91 | (1219) ~ (all_0_105_105 = e21)
% 14.72/3.91 | (1221) ~ (all_0_103_103 = e23)
% 14.72/3.91 |
% 14.72/3.91 | Equations (2012) can reduce 1219 to:
% 14.72/3.91 | (424) $false
% 14.72/3.91 |
% 14.72/3.91 |-The branch is then unsatisfiable
% 14.72/3.91 |-Branch two:
% 14.72/3.91 | (1243) all_0_132_132 = e21 & all_0_135_135 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)
% 14.72/3.91 |
% 14.72/3.91 | Applying alpha-rule on (1243) yields:
% 14.72/3.91 | (1244) all_0_135_135 = e21
% 14.72/3.91 | (1186) all_0_132_132 = e21
% 14.72/3.91 | (1216) ~ (all_0_104_104 = e22)
% 14.72/3.91 | (1218) ~ (all_0_106_106 = e20)
% 14.72/3.91 | (1219) ~ (all_0_105_105 = e21)
% 14.72/3.91 | (1221) ~ (all_0_103_103 = e23)
% 14.72/3.91 |
% 14.72/3.91 | Combining equations (1773,1244) yields a new equation:
% 14.72/3.91 | (1181) e22 = e21
% 14.72/3.91 |
% 14.72/3.91 | Simplifying 1181 yields:
% 14.72/3.91 | (1182) e22 = e21
% 14.72/3.91 |
% 14.72/3.91 | Equations (1182) can reduce 257 to:
% 14.72/3.91 | (424) $false
% 14.72/3.91 |
% 14.72/3.91 |-The branch is then unsatisfiable
% 14.72/3.91 |-Branch two:
% 14.72/3.91 | (1252) ~ (all_0_107_107 = e23) & ~ (all_0_108_108 = e22) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & (all_0_136_136 = e20 | (all_0_132_132 = e20 & all_0_135_135 = e20))
% 14.72/3.91 |
% 14.72/3.91 | Applying alpha-rule on (1252) yields:
% 14.72/3.91 | (1253) ~ (all_0_109_109 = e21)
% 14.72/3.91 | (1254) ~ (all_0_108_108 = e22)
% 14.72/3.91 | (1255) all_0_136_136 = e20 | (all_0_132_132 = e20 & all_0_135_135 = e20)
% 14.72/3.91 | (1256) ~ (all_0_110_110 = e20)
% 14.72/3.91 | (1257) ~ (all_0_107_107 = e23)
% 14.72/3.91 |
% 14.72/3.91 | Equations (2126) can reduce 1254 to:
% 14.72/3.91 | (424) $false
% 14.72/3.91 |
% 14.72/3.91 |-The branch is then unsatisfiable
% 14.72/3.91 |-Branch two:
% 14.72/3.91 | (1301) ~ (all_0_135_135 = e22)
% 14.72/3.91 | (496) all_0_136_136 = e22
% 14.72/3.91 |
% 14.72/3.91 | Equations (496) can reduce 429 to:
% 14.72/3.91 | (424) $false
% 14.72/3.91 |
% 14.72/3.91 |-The branch is then unsatisfiable
% 14.72/3.91 |-Branch two:
% 14.72/3.91 | (1114) ~ (all_0_131_131 = e21)
% 14.72/3.91 | (1186) all_0_132_132 = e21
% 14.72/3.91 |
% 14.72/3.91 | Equations (1186) can reduce 1269 to:
% 14.72/3.91 | (424) $false
% 14.72/3.91 |
% 14.72/3.91 |-The branch is then unsatisfiable
% 14.72/3.91 |-Branch two:
% 14.72/3.91 | (413) ~ (all_0_127_127 = e20)
% 14.72/3.91 | (1109) all_0_127_127 = e22 | all_0_127_127 = e21
% 14.72/3.91 |
% 14.72/3.91 +-Applying beta-rule and splitting (5), into two cases.
% 14.72/3.91 |-Branch one:
% 14.72/3.91 | (411) all_0_126_126 = e20
% 14.72/3.91 |
% 14.72/3.91 | Combining equations (515,411) yields a new equation:
% 14.72/3.91 | (1287) e22 = e20
% 14.72/3.91 |
% 14.72/3.91 | Simplifying 1287 yields:
% 14.72/3.91 | (459) e22 = e20
% 14.72/3.91 |
% 14.72/3.91 | Equations (459) can reduce 125 to:
% 14.72/3.91 | (424) $false
% 14.72/3.91 |
% 14.72/3.91 |-The branch is then unsatisfiable
% 14.72/3.91 |-Branch two:
% 14.72/3.91 | (1794) ~ (all_0_126_126 = e20)
% 14.72/3.91 | (2209) all_0_127_127 = e20 | all_0_128_128 = e20
% 14.72/3.91 |
% 14.72/3.91 +-Applying beta-rule and splitting (2209), into two cases.
% 14.72/3.91 |-Branch one:
% 14.72/3.91 | (468) all_0_127_127 = e20
% 14.72/3.91 |
% 14.72/3.91 | Equations (468) can reduce 413 to:
% 14.72/3.91 | (424) $false
% 14.72/3.91 |
% 14.72/3.91 |-The branch is then unsatisfiable
% 14.72/3.91 |-Branch two:
% 14.72/3.91 | (413) ~ (all_0_127_127 = e20)
% 14.72/3.92 | (1115) all_0_128_128 = e20
% 14.72/3.92 |
% 14.72/3.92 | Combining equations (1119,1115) yields a new equation:
% 14.72/3.92 | (1169) e21 = e20
% 14.72/3.92 |
% 14.72/3.92 | Simplifying 1169 yields:
% 14.72/3.92 | (1170) e21 = e20
% 14.72/3.92 |
% 14.72/3.92 | Equations (1170) can reduce 348 to:
% 14.72/3.92 | (424) $false
% 14.72/3.92 |
% 14.72/3.92 |-The branch is then unsatisfiable
% 14.72/3.92 |-Branch two:
% 14.72/3.92 | (422) ~ (all_0_134_134 = e21)
% 14.72/3.92 | (426) all_0_134_134 = e22
% 14.72/3.92 |
% 14.72/3.92 | Equations (426) can reduce 1805 to:
% 14.72/3.92 | (424) $false
% 14.72/3.92 |
% 14.72/3.92 |-The branch is then unsatisfiable
% 14.72/3.92 |-Branch two:
% 14.72/3.92 | (2220) ~ (all_0_130_130 = e22)
% 14.72/3.92 | (426) all_0_134_134 = e22
% 14.72/3.92 |
% 14.72/3.92 | Equations (426) can reduce 81 to:
% 14.72/3.92 | (2220) ~ (all_0_130_130 = e22)
% 14.72/3.92 |
% 14.72/3.92 | Equations (426) can reduce 190 to:
% 14.72/3.92 | (428) ~ (all_0_136_136 = e22)
% 14.72/3.92 |
% 14.72/3.92 | Simplifying 428 yields:
% 14.72/3.92 | (429) ~ (all_0_136_136 = e22)
% 14.72/3.92 |
% 14.72/3.92 | From (426) and (233) follows:
% 14.72/3.92 | (2225) op2(e20, e22) = all_0_108_108
% 14.72/3.92 |
% 14.72/3.92 | From (426) and (110) follows:
% 14.72/3.92 | (2226) op2(e20, e22) = e22
% 14.72/3.92 |
% 14.72/3.92 +-Applying beta-rule and splitting (363), into two cases.
% 14.72/3.92 |-Branch one:
% 14.72/3.92 | (420) all_0_130_130 = e21
% 14.72/3.92 |
% 14.72/3.92 | Equations (420) can reduce 253 to:
% 14.72/3.92 | (1309) ~ (all_0_132_132 = e21)
% 14.72/3.92 |
% 14.72/3.92 | Simplifying 1309 yields:
% 14.72/3.92 | (1269) ~ (all_0_132_132 = e21)
% 14.72/3.92 |
% 14.72/3.92 | From (420) and (216) follows:
% 14.72/3.92 | (2230) op2(e21, e22) = e21
% 14.72/3.92 |
% 14.72/3.92 +-Applying beta-rule and splitting (191), into two cases.
% 14.72/3.92 |-Branch one:
% 14.72/3.92 | (440) ~ (all_0_130_130 = e21)
% 14.72/3.92 |
% 14.72/3.92 | Equations (420) can reduce 440 to:
% 14.72/3.92 | (424) $false
% 14.72/3.92 |
% 14.72/3.92 |-The branch is then unsatisfiable
% 14.72/3.92 |-Branch two:
% 14.72/3.92 | (420) all_0_130_130 = e21
% 14.72/3.92 | (443) all_0_131_131 = e22 | all_0_136_136 = e22
% 14.72/3.92 |
% 14.72/3.92 +-Applying beta-rule and splitting (443), into two cases.
% 14.72/3.92 |-Branch one:
% 14.72/3.92 | (444) all_0_131_131 = e22
% 14.72/3.92 |
% 14.72/3.92 | Equations (444) can reduce 341 to:
% 14.72/3.92 | (445) ~ (all_0_124_124 = e22)
% 14.72/3.92 |
% 14.72/3.92 | From (444) and (73) follows:
% 14.72/3.92 | (2237) op2(e21, e22) = all_0_105_105
% 14.72/3.92 |
% 14.72/3.92 +-Applying beta-rule and splitting (79), into two cases.
% 14.72/3.92 |-Branch one:
% 14.72/3.92 | (446) all_0_124_124 = e22
% 14.72/3.92 |
% 14.72/3.92 | Equations (446) can reduce 445 to:
% 14.72/3.92 | (424) $false
% 14.72/3.92 |
% 14.72/3.92 |-The branch is then unsatisfiable
% 14.72/3.92 |-Branch two:
% 14.72/3.92 | (445) ~ (all_0_124_124 = e22)
% 14.72/3.92 | (449) all_0_124_124 = e23
% 14.72/3.92 |
% 14.72/3.92 | Equations (449) can reduce 176 to:
% 14.72/3.92 | (450) ~ (all_0_125_125 = e23)
% 14.72/3.92 |
% 14.72/3.92 | Simplifying 450 yields:
% 14.72/3.92 | (451) ~ (all_0_125_125 = e23)
% 14.72/3.92 |
% 14.72/3.92 | Equations (449) can reduce 445 to:
% 14.72/3.92 | (38) ~ (e23 = e22)
% 14.72/3.92 |
% 14.72/3.92 +-Applying beta-rule and splitting (215), into two cases.
% 14.72/3.92 |-Branch one:
% 14.72/3.92 | (446) all_0_124_124 = e22
% 14.72/3.92 |
% 14.72/3.92 | Combining equations (449,446) yields a new equation:
% 14.72/3.92 | (484) e23 = e22
% 14.72/3.92 |
% 14.72/3.92 | Simplifying 484 yields:
% 14.72/3.92 | (485) e23 = e22
% 14.72/3.92 |
% 14.72/3.92 | Equations (485) can reduce 38 to:
% 14.72/3.92 | (424) $false
% 14.72/3.92 |
% 14.72/3.92 |-The branch is then unsatisfiable
% 14.72/3.92 |-Branch two:
% 14.72/3.92 | (445) ~ (all_0_124_124 = e22)
% 14.72/3.92 | (464) all_0_125_125 = e22
% 14.72/3.92 |
% 14.72/3.92 | Equations (464) can reduce 60 to:
% 14.72/3.92 | (1282) ~ (all_0_128_128 = e22)
% 14.72/3.92 |
% 14.72/3.92 | Simplifying 1282 yields:
% 14.72/3.92 | (1283) ~ (all_0_128_128 = e22)
% 14.72/3.92 |
% 14.72/3.92 | Equations (464) can reduce 451 to:
% 14.72/3.92 | (465) ~ (e23 = e22)
% 14.72/3.92 |
% 14.72/3.92 | Simplifying 465 yields:
% 14.72/3.92 | (38) ~ (e23 = e22)
% 14.72/3.92 |
% 14.72/3.92 | Equations (464) can reduce 350 to:
% 14.72/3.92 | (257) ~ (e22 = e21)
% 14.72/3.92 |
% 14.72/3.92 | Instantiating formula (272) with e21, e22, e21, all_0_105_105 and discharging atoms op2(e21, e22) = all_0_105_105, op2(e21, e22) = e21, yields:
% 14.72/3.92 | (2012) all_0_105_105 = e21
% 14.72/3.92 |
% 14.72/3.92 | Instantiating formula (272) with e20, e22, e22, all_0_108_108 and discharging atoms op2(e20, e22) = all_0_108_108, op2(e20, e22) = e22, yields:
% 14.72/3.92 | (2126) all_0_108_108 = e22
% 14.72/3.92 |
% 14.72/3.92 +-Applying beta-rule and splitting (109), into two cases.
% 14.72/3.92 |-Branch one:
% 14.72/3.92 | (1192) (all_0_125_125 = e23 & all_0_133_133 = e23 & ~ (all_0_98_98 = e21) & ~ (all_0_99_99 = e20) & ~ (all_0_124_124 = e23)) | (all_0_127_127 = e22 & all_0_130_130 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)) | (all_0_127_127 = e21 & all_0_130_130 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)) | (all_0_128_128 = e22 & all_0_134_134 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)) | (all_0_131_131 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)) | (all_0_132_132 = e21 & all_0_135_135 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20))
% 14.72/3.92 |
% 14.72/3.92 +-Applying beta-rule and splitting (1192), into two cases.
% 14.72/3.92 |-Branch one:
% 14.72/3.92 | (1193) (all_0_125_125 = e23 & all_0_133_133 = e23 & ~ (all_0_98_98 = e21) & ~ (all_0_99_99 = e20) & ~ (all_0_124_124 = e23)) | (all_0_127_127 = e22 & all_0_130_130 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)) | (all_0_127_127 = e21 & all_0_130_130 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)) | (all_0_128_128 = e22 & all_0_134_134 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)) | (all_0_131_131 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20))
% 14.72/3.92 |
% 14.72/3.92 +-Applying beta-rule and splitting (1193), into two cases.
% 14.72/3.92 |-Branch one:
% 14.72/3.92 | (1194) (all_0_125_125 = e23 & all_0_133_133 = e23 & ~ (all_0_98_98 = e21) & ~ (all_0_99_99 = e20) & ~ (all_0_124_124 = e23)) | (all_0_127_127 = e22 & all_0_130_130 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)) | (all_0_127_127 = e21 & all_0_130_130 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)) | (all_0_128_128 = e22 & all_0_134_134 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22))
% 14.72/3.92 |
% 14.72/3.92 +-Applying beta-rule and splitting (1194), into two cases.
% 14.72/3.92 |-Branch one:
% 14.72/3.92 | (1195) (all_0_125_125 = e23 & all_0_133_133 = e23 & ~ (all_0_98_98 = e21) & ~ (all_0_99_99 = e20) & ~ (all_0_124_124 = e23)) | (all_0_127_127 = e22 & all_0_130_130 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)) | (all_0_127_127 = e21 & all_0_130_130 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20))
% 14.72/3.92 |
% 14.72/3.92 +-Applying beta-rule and splitting (1195), into two cases.
% 14.72/3.92 |-Branch one:
% 14.72/3.92 | (1196) (all_0_125_125 = e23 & all_0_133_133 = e23 & ~ (all_0_98_98 = e21) & ~ (all_0_99_99 = e20) & ~ (all_0_124_124 = e23)) | (all_0_127_127 = e22 & all_0_130_130 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22))
% 14.72/3.92 |
% 14.72/3.92 +-Applying beta-rule and splitting (1196), into two cases.
% 14.72/3.92 |-Branch one:
% 14.72/3.92 | (1197) all_0_125_125 = e23 & all_0_133_133 = e23 & ~ (all_0_98_98 = e21) & ~ (all_0_99_99 = e20) & ~ (all_0_124_124 = e23)
% 14.72/3.92 |
% 14.72/3.92 | Applying alpha-rule on (1197) yields:
% 14.72/3.92 | (1198) ~ (all_0_98_98 = e21)
% 14.72/3.92 | (1199) ~ (all_0_99_99 = e20)
% 14.72/3.92 | (438) all_0_133_133 = e23
% 14.72/3.92 | (493) all_0_125_125 = e23
% 14.72/3.92 | (1133) ~ (all_0_124_124 = e23)
% 14.72/3.92 |
% 14.72/3.92 | Combining equations (493,464) yields a new equation:
% 14.72/3.92 | (484) e23 = e22
% 14.72/3.92 |
% 14.72/3.92 | Simplifying 484 yields:
% 14.72/3.92 | (485) e23 = e22
% 14.72/3.92 |
% 14.72/3.92 | Equations (485) can reduce 38 to:
% 14.72/3.92 | (424) $false
% 14.72/3.92 |
% 14.72/3.92 |-The branch is then unsatisfiable
% 14.72/3.92 |-Branch two:
% 14.72/3.92 | (1205) all_0_127_127 = e22 & all_0_130_130 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)
% 14.72/3.92 |
% 14.72/3.92 | Applying alpha-rule on (1205) yields:
% 14.72/3.92 | (1206) ~ (all_0_100_100 = e23)
% 14.72/3.92 | (1207) all_0_127_127 = e22
% 14.72/3.92 | (1208) ~ (all_0_102_102 = e20)
% 14.72/3.92 | (1209) ~ (all_0_101_101 = e21)
% 14.72/3.92 | (518) ~ (all_0_126_126 = e22)
% 14.72/3.92 | (508) all_0_130_130 = e22
% 14.72/3.92 |
% 14.72/3.92 | Combining equations (420,508) yields a new equation:
% 14.72/3.92 | (1182) e22 = e21
% 14.72/3.92 |
% 14.72/3.92 | Equations (1182) can reduce 257 to:
% 14.72/3.92 | (424) $false
% 14.72/3.92 |
% 14.72/3.92 |-The branch is then unsatisfiable
% 14.72/3.92 |-Branch two:
% 14.72/3.92 | (1215) all_0_127_127 = e21 & all_0_130_130 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)
% 14.72/3.92 |
% 14.72/3.92 | Applying alpha-rule on (1215) yields:
% 14.72/3.92 | (1216) ~ (all_0_104_104 = e22)
% 14.72/3.92 | (1110) all_0_127_127 = e21
% 14.72/3.92 | (1218) ~ (all_0_106_106 = e20)
% 14.72/3.92 | (1219) ~ (all_0_105_105 = e21)
% 14.72/3.92 | (420) all_0_130_130 = e21
% 14.72/3.92 | (1221) ~ (all_0_103_103 = e23)
% 14.72/3.92 |
% 14.72/3.92 | Equations (2012) can reduce 1219 to:
% 14.72/3.92 | (424) $false
% 14.72/3.92 |
% 14.72/3.92 |-The branch is then unsatisfiable
% 14.72/3.92 |-Branch two:
% 14.72/3.92 | (1224) all_0_128_128 = e22 & all_0_134_134 = e22 & ~ (all_0_100_100 = e23) & ~ (all_0_101_101 = e21) & ~ (all_0_102_102 = e20) & ~ (all_0_126_126 = e22)
% 14.72/3.92 |
% 14.72/3.92 | Applying alpha-rule on (1224) yields:
% 14.72/3.92 | (1206) ~ (all_0_100_100 = e23)
% 14.72/3.92 | (426) all_0_134_134 = e22
% 14.72/3.92 | (1122) all_0_128_128 = e22
% 14.72/3.92 | (1208) ~ (all_0_102_102 = e20)
% 14.72/3.92 | (1209) ~ (all_0_101_101 = e21)
% 14.72/3.92 | (518) ~ (all_0_126_126 = e22)
% 14.72/3.92 |
% 14.72/3.92 | Equations (1122) can reduce 1283 to:
% 14.72/3.92 | (424) $false
% 14.72/3.92 |
% 14.72/3.92 |-The branch is then unsatisfiable
% 14.72/3.92 |-Branch two:
% 14.72/3.92 | (1234) all_0_131_131 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)
% 14.72/3.92 |
% 14.72/3.93 | Applying alpha-rule on (1234) yields:
% 14.72/3.93 | (1235) all_0_131_131 = e21
% 14.72/3.93 | (1216) ~ (all_0_104_104 = e22)
% 14.72/3.93 | (1218) ~ (all_0_106_106 = e20)
% 14.72/3.93 | (1219) ~ (all_0_105_105 = e21)
% 14.72/3.93 | (1221) ~ (all_0_103_103 = e23)
% 14.72/3.93 |
% 14.72/3.93 | Combining equations (444,1235) yields a new equation:
% 14.72/3.93 | (1181) e22 = e21
% 14.72/3.93 |
% 14.72/3.93 | Simplifying 1181 yields:
% 14.72/3.93 | (1182) e22 = e21
% 14.72/3.93 |
% 14.72/3.93 | Equations (1182) can reduce 257 to:
% 14.72/3.93 | (424) $false
% 14.72/3.93 |
% 14.72/3.93 |-The branch is then unsatisfiable
% 14.72/3.93 |-Branch two:
% 14.72/3.93 | (1243) all_0_132_132 = e21 & all_0_135_135 = e21 & ~ (all_0_103_103 = e23) & ~ (all_0_104_104 = e22) & ~ (all_0_105_105 = e21) & ~ (all_0_106_106 = e20)
% 14.72/3.93 |
% 14.72/3.93 | Applying alpha-rule on (1243) yields:
% 14.72/3.93 | (1244) all_0_135_135 = e21
% 14.72/3.93 | (1186) all_0_132_132 = e21
% 14.72/3.93 | (1216) ~ (all_0_104_104 = e22)
% 14.72/3.93 | (1218) ~ (all_0_106_106 = e20)
% 14.72/3.93 | (1219) ~ (all_0_105_105 = e21)
% 14.72/3.93 | (1221) ~ (all_0_103_103 = e23)
% 14.72/3.93 |
% 14.72/3.93 | Equations (1186) can reduce 1269 to:
% 14.72/3.93 | (424) $false
% 14.72/3.93 |
% 14.72/3.93 |-The branch is then unsatisfiable
% 14.72/3.93 |-Branch two:
% 14.72/3.93 | (1252) ~ (all_0_107_107 = e23) & ~ (all_0_108_108 = e22) & ~ (all_0_109_109 = e21) & ~ (all_0_110_110 = e20) & (all_0_136_136 = e20 | (all_0_132_132 = e20 & all_0_135_135 = e20))
% 14.72/3.93 |
% 14.72/3.93 | Applying alpha-rule on (1252) yields:
% 14.72/3.93 | (1253) ~ (all_0_109_109 = e21)
% 14.72/3.93 | (1254) ~ (all_0_108_108 = e22)
% 14.72/3.93 | (1255) all_0_136_136 = e20 | (all_0_132_132 = e20 & all_0_135_135 = e20)
% 14.72/3.93 | (1256) ~ (all_0_110_110 = e20)
% 14.72/3.93 | (1257) ~ (all_0_107_107 = e23)
% 14.72/3.93 |
% 14.72/3.93 | Equations (2126) can reduce 1254 to:
% 14.72/3.93 | (424) $false
% 14.72/3.93 |
% 14.72/3.93 |-The branch is then unsatisfiable
% 14.72/3.93 |-Branch two:
% 14.72/3.93 | (495) ~ (all_0_131_131 = e22)
% 14.72/3.93 | (496) all_0_136_136 = e22
% 14.72/3.93 |
% 14.72/3.93 | Equations (496) can reduce 429 to:
% 14.72/3.93 | (424) $false
% 14.72/3.93 |
% 14.72/3.93 |-The branch is then unsatisfiable
% 14.72/3.93 |-Branch two:
% 14.72/3.93 | (440) ~ (all_0_130_130 = e21)
% 14.72/3.93 | (508) all_0_130_130 = e22
% 14.72/3.93 |
% 14.72/3.93 | Equations (508) can reduce 2220 to:
% 14.72/3.93 | (424) $false
% 14.72/3.93 |
% 14.72/3.93 |-The branch is then unsatisfiable
% 14.72/3.93 % SZS output end Proof for theBenchmark
% 14.72/3.93
% 14.72/3.93 3338ms
%------------------------------------------------------------------------------