TSTP Solution File: ALG109+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG109+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n021.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 15:35:10 EDT 2022
% Result : Theorem 8.13s 2.51s
% Output : Proof 17.44s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : ALG109+1 : TPTP v8.1.0. Released v2.7.0.
% 0.08/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.33 % Computer : n021.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Wed Jun 8 04:55:22 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.66/0.64 ____ _
% 0.66/0.64 ___ / __ \_____(_)___ ________ __________
% 0.66/0.64 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.66/0.64 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.66/0.64 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.66/0.64
% 0.66/0.64 A Theorem Prover for First-Order Logic
% 0.66/0.64 (ePrincess v.1.0)
% 0.66/0.64
% 0.66/0.64 (c) Philipp Rümmer, 2009-2015
% 0.66/0.64 (c) Peter Backeman, 2014-2015
% 0.66/0.64 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.66/0.64 Free software under GNU Lesser General Public License (LGPL).
% 0.66/0.64 Bug reports to peter@backeman.se
% 0.66/0.64
% 0.66/0.64 For more information, visit http://user.uu.se/~petba168/breu/
% 0.66/0.64
% 0.66/0.64 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.84/0.69 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 3.05/1.32 Prover 0: Preprocessing ...
% 5.60/1.86 Prover 0: Constructing countermodel ...
% 8.13/2.51 Prover 0: proved (1818ms)
% 8.13/2.51
% 8.13/2.51 No countermodel exists, formula is valid
% 8.13/2.51 % SZS status Theorem for theBenchmark
% 8.13/2.51
% 8.13/2.51 Generating proof ... found it (size 2352)
% 15.43/4.19
% 15.43/4.19 % SZS output start Proof for theBenchmark
% 15.43/4.19 Assumed formulas after preprocessing and simplification:
% 15.43/4.19 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : ? [v48] : ? [v49] : ? [v50] : ? [v51] : ? [v52] : ? [v53] : ? [v54] : ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : ? [v64] : ? [v65] : ? [v66] : ? [v67] : ? [v68] : ? [v69] : ? [v70] : ? [v71] : ? [v72] : ? [v73] : ? [v74] : ? [v75] : ? [v76] : ? [v77] : ? [v78] : ? [v79] : ? [v80] : ? [v81] : ? [v82] : ? [v83] : ? [v84] : ? [v85] : ? [v86] : ? [v87] : ? [v88] : ? [v89] : ? [v90] : ? [v91] : ? [v92] : ? [v93] : ? [v94] : ? [v95] : ? [v96] : ? [v97] : ? [v98] : ? [v99] : ? [v100] : ? [v101] : ? [v102] : ? [v103] : ? [v104] : ? [v105] : ? [v106] : ? [v107] : ? [v108] : ? [v109] : ? [v110] : ? [v111] : ? [v112] : ? [v113] : ? [v114] : ? [v115] : ? [v116] : ? [v117] : ? [v118] : ? [v119] : ? [v120] : ? [v121] : ? [v122] : ? [v123] : ? [v124] : ? [v125] : ? [v126] : ? [v127] : ? [v128] : ? [v129] : ? [v130] : ? [v131] : ? [v132] : ? [v133] : ? [v134] : ? [v135] : ? [v136] : ? [v137] : ? [v138] : ? [v139] : ? [v140] : ? [v141] : ? [v142] : ? [v143] : ? [v144] : ? [v145] : ? [v146] : ? [v147] : ? [v148] : ? [v149] : ? [v150] : ? [v151] : ( ~ (v25 = v24) & ~ (v25 = v23) & ~ (v25 = v22) & ~ (v25 = v18) & ~ (v25 = v14) & ~ (v25 = e22) & ~ (v24 = v23) & ~ (v24 = v21) & ~ (v24 = v17) & ~ (v24 = v13) & ~ (v24 = e22) & ~ (v23 = v20) & ~ (v23 = v16) & ~ (v23 = e23) & ~ (v23 = e22) & ~ (v22 = v21) & ~ (v22 = v20) & ~ (v22 = v19) & ~ (v22 = v18) & ~ (v22 = v14) & ~ (v21 = v20) & ~ (v21 = v19) & ~ (v21 = v17) & ~ (v21 = v13) & ~ (v20 = v19) & ~ (v20 = v16) & ~ (v20 = e23) & ~ (v19 = v15) & ~ (v19 = e22) & ~ (v19 = e21) & ~ (v18 = v17) & ~ (v18 = v16) & ~ (v18 = v15) & ~ (v18 = v14) & ~ (v17 = v16) & ~ (v17 = v15) & ~ (v17 = v13) & ~ (v16 = v15) & ~ (v16 = e23) & ~ (v15 = e22) & ~ (v15 = e21) & ~ (v14 = v13) & ~ (v14 = e23) & ~ (v14 = e21) & ~ (v13 = e23) & ~ (v13 = e21) & ~ (v12 = v11) & ~ (v12 = v10) & ~ (v12 = v9) & ~ (v12 = v5) & ~ (v12 = v1) & ~ (v12 = e12) & ~ (v11 = v10) & ~ (v11 = v8) & ~ (v11 = v4) & ~ (v11 = v0) & ~ (v11 = e12) & ~ (v10 = v7) & ~ (v10 = v3) & ~ (v10 = e13) & ~ (v10 = e12) & ~ (v9 = v8) & ~ (v9 = v7) & ~ (v9 = v6) & ~ (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v7) & ~ (v8 = v6) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v6) & ~ (v7 = v3) & ~ (v7 = e13) & ~ (v6 = v2) & ~ (v6 = e12) & ~ (v6 = e11) & ~ (v5 = v4) & ~ (v5 = v3) & ~ (v5 = v2) & ~ (v5 = v1) & ~ (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = e13) & ~ (v2 = e12) & ~ (v2 = e11) & ~ (v1 = v0) & ~ (v1 = e13) & ~ (v1 = e11) & ~ (v0 = e13) & ~ (v0 = e11) & ~ (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, v9) = v35 & op1(e13, v5) = v31 & op1(e13, v1) = v27 & op1(e13, e13) = v12 & op1(e13, e12) = v11 & op1(e13, e11) = v10 & op1(e13, e10) = e12 & op1(e12, v11) = v37 & op1(e12, v8) = v34 & op1(e12, v4) = v30 & op1(e12, v0) = v26 & op1(e12, e13) = v9 & op1(e12, e12) = v8 & op1(e12, e11) = v7 & op1(e12, e10) = v6 & op1(e11, v10) = v36 & op1(e11, v7) = v33 & op1(e11, v3) = v29 & op1(e11, e13) = v5 & op1(e11, e12) = v4 & op1(e11, e11) = v3 & op1(e11, e10) = v2 & op1(e10, v6) = v32 & op1(e10, v2) = v28 & op1(e10, e13) = v1 & op1(e10, e12) = v0 & op1(e10, e11) = e13 & op1(e10, e10) = e11 & h1(v12) = v67 & h1(v11) = v66 & h1(v10) = v65 & h1(v9) = v64 & h1(v8) = v63 & h1(v7) = v62 & h1(v6) = v61 & h1(v5) = v60 & h1(v4) = v59 & h1(v3) = v58 & h1(v2) = v57 & h1(v1) = v56 & h1(v0) = v55 & h1(e13) = e23 & h1(e12) = e22 & h1(e11) = e21 & h1(e10) = e20 & h2(v12) = v94 & h2(v11) = v92 & h2(v10) = v90 & h2(v9) = v87 & h2(v8) = v85 & h2(v7) = v83 & h2(v6) = v81 & h2(v5) = v79 & h2(v4) = v77 & h2(v3) = v75 & h2(v2) = v73 & h2(v1) = v71 & h2(v0) = v69 & h2(e13) = v42 & h2(e12) = v52 & h2(e11) = v16 & h2(e10) = e21 & h3(v12) = v122 & h3(v11) = v120 & h3(v10) = v118 & h3(v9) = v115 & h3(v8) = v113 & h3(v7) = v111 & h3(v6) = v109 & h3(v5) = v107 & h3(v4) = v105 & h3(v3) = v103 & h3(v2) = v101 & h3(v1) = v99 & h3(v0) = v97 & h3(e13) = v47 & h3(e12) = v53 & h3(e11) = v21 & h3(e10) = e22 & h4(v12) = v150 & h4(v11) = v148 & h4(v10) = v146 & 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) = v51 & h4(e12) = v54 & h4(e11) = v25 & h4(e10) = e23 & op2(v54, v54) = v142 & op2(v54, v51) = v144 & op2(v54, v25) = v140 & op2(v54, e23) = v138 & op2(v53, v53) = v114 & op2(v53, v47) = v116 & op2(v53, v21) = v112 & op2(v53, e22) = v110 & op2(v52, v52) = v86 & op2(v52, v42) = v88 & op2(v52, v16) = v84 & op2(v52, e21) = v82 & op2(v51, v54) = v149 & op2(v51, v51) = v151 & op2(v51, v25) = v147 & op2(v51, e23) = v145 & op2(v51, e23) = v54 & op2(v47, v53) = v121 & op2(v47, v47) = v123 & op2(v47, v21) = v119 & op2(v47, e22) = v117 & op2(v47, e22) = v53 & op2(v42, v52) = v93 & op2(v42, v42) = v95 & op2(v42, v16) = v91 & op2(v42, e21) = v89 & op2(v42, e21) = v52 & op2(v25, v54) = v134 & op2(v25, v51) = v136 & op2(v25, v25) = v132 & op2(v25, e23) = v130 & op2(v21, v53) = v106 & op2(v21, v47) = v108 & op2(v21, v21) = v104 & op2(v21, e22) = v102 & op2(v16, v52) = v78 & op2(v16, v42) = v80 & op2(v16, v16) = v76 & op2(v16, e21) = v74 & op2(e23, v54) = v126 & op2(e23, v51) = v128 & op2(e23, v25) = v124 & op2(e23, v25) = v51 & op2(e23, v22) = v48 & op2(e23, v18) = v44 & op2(e23, v14) = v40 & op2(e23, e23) = v25 & op2(e23, e22) = v24 & op2(e23, e21) = v23 & op2(e23, e20) = e22 & op2(e22, v53) = v98 & op2(e22, v47) = v100 & op2(e22, v24) = v50 & op2(e22, v21) = v96 & op2(e22, v21) = v47 & op2(e22, v17) = v43 & op2(e22, v13) = v39 & op2(e22, e23) = v22 & op2(e22, e22) = v21 & op2(e22, e21) = v20 & op2(e22, e20) = v19 & op2(e21, v52) = v70 & op2(e21, v42) = v72 & op2(e21, v23) = v49 & op2(e21, v20) = v46 & op2(e21, v16) = v68 & op2(e21, v16) = v42 & op2(e21, e23) = v18 & op2(e21, e22) = v17 & op2(e21, e21) = v16 & op2(e21, e20) = v15 & op2(e20, v19) = v45 & op2(e20, v15) = v41 & op2(e20, e23) = v14 & op2(e20, e22) = v13 & op2(e20, e21) = e23 & op2(e20, e20) = e21 & ! [v152] : ! [v153] : ! [v154] : ! [v155] : (v153 = v152 | ~ (op1(v155, v154) = v153) | ~ (op1(v155, v154) = v152)) & ! [v152] : ! [v153] : ! [v154] : ! [v155] : (v153 = v152 | ~ (op2(v155, v154) = v153) | ~ (op2(v155, v154) = v152)) & ! [v152] : ! [v153] : ! [v154] : (v153 = v152 | ~ (h1(v154) = v153) | ~ (h1(v154) = v152)) & ! [v152] : ! [v153] : ! [v154] : (v153 = v152 | ~ (h2(v154) = v153) | ~ (h2(v154) = v152)) & ! [v152] : ! [v153] : ! [v154] : (v153 = v152 | ~ (h3(v154) = v153) | ~ (h3(v154) = v152)) & ! [v152] : ! [v153] : ! [v154] : (v153 = v152 | ~ (h4(v154) = v153) | ~ (h4(v154) = v152)) & ( ~ (v151 = v150) | ~ (v149 = v148) | ~ (v147 = v146) | ~ (v145 = v54) | ~ (v144 = v143) | ~ (v142 = v141) | ~ (v140 = v139) | ~ (v138 = v137) | ~ (v136 = v135) | ~ (v134 = v133) | ~ (v132 = v131) | ~ (v130 = v129) | ~ (v128 = v127) | ~ (v126 = v125) | ~ (v124 = v51) | ( ~ (v54 = e22) & ~ (v51 = e22)) | ( ~ (v54 = e21) & ~ (v51 = e21) & ~ (v25 = e21)) | ( ~ (v54 = e20) & ~ (v51 = e20) & ~ (v25 = e20))) & ( ~ (v123 = v122) | ~ (v121 = v120) | ~ (v119 = v118) | ~ (v117 = v53) | ~ (v116 = v115) | ~ (v114 = v113) | ~ (v112 = v111) | ~ (v110 = v109) | ~ (v108 = v107) | ~ (v106 = v105) | ~ (v104 = v103) | ~ (v102 = v101) | ~ (v100 = v99) | ~ (v98 = v97) | ~ (v96 = v47) | ( ~ (v53 = e23) & ~ (v47 = e23) & ~ (v21 = e23)) | ( ~ (v53 = e21) & ~ (v47 = e21) & ~ (v21 = e21)) | ( ~ (v53 = e20) & ~ (v47 = e20) & ~ (v21 = e20))) & ( ~ (v95 = v94) | ~ (v93 = v92) | ~ (v91 = v90) | ~ (v89 = v52) | ~ (v88 = v87) | ~ (v86 = v85) | ~ (v84 = v83) | ~ (v82 = v81) | ~ (v80 = v79) | ~ (v78 = v77) | ~ (v76 = v75) | ~ (v74 = v73) | ~ (v72 = v71) | ~ (v70 = v69) | ~ (v68 = v42) | ( ~ (v52 = e23) & ~ (v42 = e23)) | ( ~ (v52 = e22) & ~ (v42 = e22) & ~ (v16 = e22)) | ( ~ (v52 = e20) & ~ (v42 = e20) & ~ (v16 = e20))) & ( ~ (v67 = v25) | ~ (v66 = v24) | ~ (v65 = v23) | ~ (v64 = v22) | ~ (v63 = v21) | ~ (v62 = v20) | ~ (v61 = v19) | ~ (v60 = v18) | ~ (v59 = v17) | ~ (v58 = v16) | ~ (v57 = v15) | ~ (v56 = v14) | ~ (v55 = v13)) & ( ~ (v15 = e23) | (v25 = e21 & ( ~ (v23 = e21) | ~ (v18 = e21)) & ( ~ (v23 = e20) | ~ (v18 = e20))) | (v25 = e20 & ~ (v14 = e22)) | (v21 = e23 & ( ~ (v24 = e23) | ~ (v22 = e23)) & ( ~ (v24 = e21) | ~ (v22 = e21)) & ( ~ (v24 = e20) | ~ (v22 = e20))) | (v21 = e21 & ( ~ (v20 = e22) | ~ (v17 = e22)) & ( ~ (v20 = e21) | ~ (v17 = e21)) & ( ~ (v20 = e20) | ~ (v17 = e20))) | (v21 = e20 & ( ~ (v19 = e20) | ~ (v13 = e20))) | (v16 = e22 & ( ~ (v20 = e22) | ~ (v17 = e22)) & ( ~ (v20 = e21) | ~ (v17 = e21)) & ( ~ (v20 = e20) | ~ (v17 = e20)))) & ( ~ (v2 = e13) | (v12 = e11 & ( ~ (v10 = e11) | ~ (v5 = e11)) & ( ~ (v10 = e10) | ~ (v5 = e10))) | (v12 = e10 & ~ (v1 = e12)) | (v8 = e13 & ( ~ (v11 = e13) | ~ (v9 = e13)) & ( ~ (v11 = e11) | ~ (v9 = e11)) & ( ~ (v11 = e10) | ~ (v9 = e10))) | (v8 = e11 & ( ~ (v7 = e12) | ~ (v4 = e12)) & ( ~ (v7 = e11) | ~ (v4 = e11)) & ( ~ (v7 = e10) | ~ (v4 = e10))) | (v8 = e10 & ( ~ (v6 = e10) | ~ (v0 = e10))) | (v3 = e12 & ( ~ (v7 = e12) | ~ (v4 = e12)) & ( ~ (v7 = e11) | ~ (v4 = e11)) & ( ~ (v7 = e10) | ~ (v4 = e10)))) & (v25 = e23 | v25 = e21 | v25 = e20) & (v25 = e23 | v24 = e23) & (v25 = e23 | v22 = e23 | v18 = e23) & (v25 = e21 | v24 = e21 | v23 = e21) & (v25 = e21 | v22 = e21 | v18 = e21) & (v25 = e20 | v24 = e20 | v23 = e20) & (v25 = e20 | v22 = e20 | v18 = e20 | v14 = e20) & (v24 = e23 | v24 = e21 | v24 = e20) & (v24 = e23 | v21 = e23 | v17 = e23) & (v24 = e21 | v21 = e21 | v17 = e21) & (v24 = e20 | v21 = e20 | v17 = e20 | v13 = e20) & (v23 = e21 | v23 = e20) & (v23 = e21 | v20 = e21 | v16 = e21) & (v23 = e20 | v20 = e20 | v16 = e20) & (v22 = e23 | v22 = e22 | v22 = e21 | v22 = e20) & (v22 = e23 | v21 = e23 | v19 = e23) & (v22 = e22 | v21 = e22 | v20 = e22) & (v22 = e22 | v18 = e22 | v14 = e22) & (v22 = e21 | v21 = e21 | v20 = e21) & (v22 = e20 | v21 = e20 | v20 = e20 | v19 = e20) & (v21 = e23 | v21 = e22 | v21 = e21 | v21 = e20) & (v21 = e22 | v17 = e22 | v13 = e22) & (v20 = e22 | v20 = e21 | v20 = e20) & (v20 = e22 | v16 = e22) & (v19 = e23 | v19 = e20) & (v19 = e23 | v15 = e23) & (v19 = e20 | v15 = e20) & (v18 = e23 | v18 = e22 | v18 = e21 | v18 = e20) & (v18 = e23 | v17 = e23 | v15 = e23) & (v18 = e22 | v17 = e22 | v16 = e22) & (v18 = e21 | v17 = e21 | v16 = e21) & (v18 = e20 | v17 = e20 | v16 = e20 | v15 = e20) & (v17 = e23 | v17 = e22 | v17 = e21 | v17 = e20) & (v16 = e22 | v16 = e21 | v16 = e20) & (v15 = e23 | v15 = e20) & (v14 = e22 | v14 = e20) & (v14 = e22 | v13 = e22) & (v14 = e20 | v13 = e20) & (v13 = e22 | v13 = e20) & (v12 = e13 | v12 = e11 | v12 = e10) & (v12 = e13 | v11 = e13) & (v12 = e13 | v9 = e13 | v5 = e13) & (v12 = e11 | v11 = e11 | v10 = e11) & (v12 = e11 | v9 = e11 | v5 = e11) & (v12 = e10 | v11 = e10 | v10 = e10) & (v12 = e10 | v9 = e10 | v5 = e10 | v1 = e10) & (v11 = e13 | v11 = e11 | v11 = e10) & (v11 = e13 | v8 = e13 | v4 = e13) & (v11 = e11 | v8 = e11 | v4 = e11) & (v11 = e10 | v8 = e10 | v4 = e10 | v0 = e10) & (v10 = e11 | v10 = e10) & (v10 = e11 | v7 = e11 | v3 = e11) & (v10 = e10 | v7 = e10 | v3 = e10) & (v9 = e13 | v9 = e12 | v9 = e11 | v9 = e10) & (v9 = e13 | v8 = e13 | v6 = e13) & (v9 = e12 | v8 = e12 | v7 = e12) & (v9 = e12 | v5 = e12 | v1 = e12) & (v9 = e11 | v8 = e11 | v7 = e11) & (v9 = e10 | v8 = e10 | v7 = e10 | v6 = e10) & (v8 = e13 | v8 = e12 | v8 = e11 | v8 = e10) & (v8 = e12 | v4 = e12 | v0 = e12) & (v7 = e12 | v7 = e11 | v7 = e10) & (v7 = e12 | v3 = e12) & (v6 = e13 | v6 = e10) & (v6 = e13 | v2 = e13) & (v6 = e10 | v2 = e10) & (v5 = e13 | v5 = e12 | v5 = e11 | v5 = e10) & (v5 = e13 | v4 = e13 | v2 = e13) & (v5 = e12 | v4 = e12 | v3 = e12) & (v5 = e11 | v4 = e11 | v3 = e11) & (v5 = e10 | v4 = e10 | v3 = e10 | v2 = e10) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 = e10) & (v3 = e12 | v3 = e11 | v3 = e10) & (v2 = e13 | v2 = e10) & (v1 = e12 | v1 = e10) & (v1 = e12 | v0 = e12) & (v1 = e10 | v0 = e10) & (v0 = e12 | v0 = e10) & ((v50 = e22 & v24 = v22) | (v49 = e21 & v23 = v18) | (v48 = e23 & v24 = v22) | (v46 = e21 & v20 = v17) | (v45 = e20 & v19 = v13) | (v44 = e23 & v23 = v18) | (v43 = e22 & v20 = v17) | (v41 = e20 & v15 = e23) | (v40 = e23 & v14 = e22) | (v39 = e22 & v19 = v13) | (v18 = e21 & v15 = e23) | (v14 = e22 & v13 = e20)) & ((v37 = e12 & v11 = v9) | (v36 = e11 & v10 = v5) | (v35 = e13 & v11 = v9) | (v33 = e11 & v7 = v4) | (v32 = e10 & v6 = v0) | (v31 = e13 & v10 = v5) | (v30 = e12 & v7 = v4) | (v28 = e10 & v2 = e13) | (v27 = e13 & v1 = e12) | (v26 = e12 & v6 = v0) | (v5 = e11 & v2 = e13) | (v1 = e12 & v0 = e10)) & ((v24 = e23 & v22 = e23 & ~ (v25 = e23) & ~ (v18 = e21) & ~ (v14 = e20)) | (v23 = e21 & v18 = e21 & ~ (v20 = e22) & ~ (v16 = e21)) | (v20 = e22 & v17 = e22 & ~ (v24 = e23) & ~ (v21 = e22) & ~ (v13 = e20)) | (v20 = e21 & v17 = e21 & ~ (v16 = e21)) | (v19 = e20 & v13 = e20)) & ((v11 = e13 & v9 = e13 & ~ (v12 = e13) & ~ (v5 = e11) & ~ (v1 = e10)) | (v10 = e11 & v5 = e11 & ~ (v7 = e12) & ~ (v3 = e11)) | (v7 = e12 & v4 = e12 & ~ (v11 = e13) & ~ (v8 = e12) & ~ (v0 = e10)) | (v7 = e11 & v4 = e11 & ~ (v3 = e11)) | (v6 = e10 & v0 = e10)))
% 15.73/4.26 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18, all_0_19_19, all_0_20_20, all_0_21_21, all_0_22_22, all_0_23_23, all_0_24_24, all_0_25_25, all_0_26_26, all_0_27_27, all_0_28_28, all_0_29_29, all_0_30_30, all_0_31_31, all_0_32_32, all_0_33_33, all_0_34_34, all_0_35_35, all_0_36_36, all_0_37_37, all_0_38_38, all_0_39_39, all_0_40_40, all_0_41_41, all_0_42_42, all_0_43_43, all_0_44_44, all_0_45_45, all_0_46_46, all_0_47_47, all_0_48_48, all_0_49_49, all_0_50_50, all_0_51_51, all_0_52_52, all_0_53_53, all_0_54_54, all_0_55_55, all_0_56_56, all_0_57_57, all_0_58_58, all_0_59_59, all_0_60_60, all_0_61_61, all_0_62_62, all_0_63_63, all_0_64_64, all_0_65_65, all_0_66_66, all_0_67_67, all_0_68_68, all_0_69_69, all_0_70_70, all_0_71_71, all_0_72_72, all_0_73_73, all_0_74_74, all_0_75_75, all_0_76_76, all_0_77_77, all_0_78_78, all_0_79_79, all_0_80_80, all_0_81_81, all_0_82_82, all_0_83_83, all_0_84_84, all_0_85_85, all_0_86_86, all_0_87_87, all_0_88_88, all_0_89_89, all_0_90_90, all_0_91_91, all_0_92_92, all_0_93_93, all_0_94_94, all_0_95_95, all_0_96_96, all_0_97_97, all_0_98_98, all_0_99_99, all_0_100_100, all_0_101_101, all_0_102_102, all_0_103_103, all_0_104_104, all_0_105_105, all_0_106_106, all_0_107_107, all_0_108_108, all_0_109_109, all_0_110_110, all_0_111_111, all_0_112_112, all_0_113_113, all_0_114_114, all_0_115_115, all_0_116_116, all_0_117_117, all_0_118_118, all_0_119_119, all_0_120_120, all_0_121_121, all_0_122_122, all_0_123_123, all_0_124_124, all_0_125_125, all_0_126_126, all_0_127_127, all_0_128_128, all_0_129_129, all_0_130_130, all_0_131_131, all_0_132_132, all_0_133_133, all_0_134_134, all_0_135_135, all_0_136_136, all_0_137_137, all_0_138_138, all_0_139_139, all_0_140_140, all_0_141_141, all_0_142_142, all_0_143_143, all_0_144_144, all_0_145_145, all_0_146_146, all_0_147_147, all_0_148_148, all_0_149_149, all_0_150_150, all_0_151_151 yields:
% 15.73/4.26 | (1) ~ (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 = all_0_137_137) & ~ (all_0_126_126 = e22) & ~ (all_0_127_127 = all_0_128_128) & ~ (all_0_127_127 = all_0_130_130) & ~ (all_0_127_127 = all_0_134_134) & ~ (all_0_127_127 = all_0_138_138) & ~ (all_0_127_127 = e22) & ~ (all_0_128_128 = all_0_131_131) & ~ (all_0_128_128 = all_0_135_135) & ~ (all_0_128_128 = e23) & ~ (all_0_128_128 = e22) & ~ (all_0_129_129 = all_0_130_130) & ~ (all_0_129_129 = all_0_131_131) & ~ (all_0_129_129 = all_0_132_132) & ~ (all_0_129_129 = all_0_133_133) & ~ (all_0_129_129 = all_0_137_137) & ~ (all_0_130_130 = all_0_131_131) & ~ (all_0_130_130 = all_0_132_132) & ~ (all_0_130_130 = all_0_134_134) & ~ (all_0_130_130 = all_0_138_138) & ~ (all_0_131_131 = all_0_132_132) & ~ (all_0_131_131 = all_0_135_135) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = all_0_136_136) & ~ (all_0_132_132 = e22) & ~ (all_0_132_132 = e21) & ~ (all_0_133_133 = all_0_134_134) & ~ (all_0_133_133 = all_0_135_135) & ~ (all_0_133_133 = all_0_136_136) & ~ (all_0_133_133 = all_0_137_137) & ~ (all_0_134_134 = all_0_135_135) & ~ (all_0_134_134 = all_0_136_136) & ~ (all_0_134_134 = all_0_138_138) & ~ (all_0_135_135 = all_0_136_136) & ~ (all_0_135_135 = e23) & ~ (all_0_136_136 = e22) & ~ (all_0_136_136 = e21) & ~ (all_0_137_137 = all_0_138_138) & ~ (all_0_137_137 = e23) & ~ (all_0_137_137 = e21) & ~ (all_0_138_138 = e23) & ~ (all_0_138_138 = e21) & ~ (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 = all_0_150_150) & ~ (all_0_139_139 = e12) & ~ (all_0_140_140 = all_0_141_141) & ~ (all_0_140_140 = all_0_143_143) & ~ (all_0_140_140 = all_0_147_147) & ~ (all_0_140_140 = all_0_151_151) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = all_0_144_144) & ~ (all_0_141_141 = all_0_148_148) & ~ (all_0_141_141 = e13) & ~ (all_0_141_141 = e12) & ~ (all_0_142_142 = all_0_143_143) & ~ (all_0_142_142 = all_0_144_144) & ~ (all_0_142_142 = all_0_145_145) & ~ (all_0_142_142 = all_0_146_146) & ~ (all_0_142_142 = all_0_150_150) & ~ (all_0_143_143 = all_0_144_144) & ~ (all_0_143_143 = all_0_145_145) & ~ (all_0_143_143 = all_0_147_147) & ~ (all_0_143_143 = all_0_151_151) & ~ (all_0_144_144 = all_0_145_145) & ~ (all_0_144_144 = all_0_148_148) & ~ (all_0_144_144 = e13) & ~ (all_0_145_145 = all_0_149_149) & ~ (all_0_145_145 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = all_0_147_147) & ~ (all_0_146_146 = all_0_148_148) & ~ (all_0_146_146 = all_0_149_149) & ~ (all_0_146_146 = all_0_150_150) & ~ (all_0_147_147 = all_0_148_148) & ~ (all_0_147_147 = all_0_149_149) & ~ (all_0_147_147 = all_0_151_151) & ~ (all_0_148_148 = all_0_149_149) & ~ (all_0_148_148 = e13) & ~ (all_0_149_149 = e12) & ~ (all_0_149_149 = e11) & ~ (all_0_150_150 = all_0_151_151) & ~ (all_0_150_150 = e13) & ~ (all_0_150_150 = e11) & ~ (all_0_151_151 = e13) & ~ (all_0_151_151 = e11) & ~ (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_139_139) = all_0_113_113 & op1(e13, all_0_142_142) = all_0_116_116 & op1(e13, all_0_146_146) = all_0_120_120 & op1(e13, all_0_150_150) = all_0_124_124 & op1(e13, e13) = all_0_139_139 & op1(e13, e12) = all_0_140_140 & op1(e13, e11) = all_0_141_141 & op1(e13, e10) = e12 & op1(e12, all_0_140_140) = all_0_114_114 & op1(e12, all_0_143_143) = all_0_117_117 & op1(e12, all_0_147_147) = all_0_121_121 & op1(e12, all_0_151_151) = all_0_125_125 & op1(e12, e13) = all_0_142_142 & op1(e12, e12) = all_0_143_143 & op1(e12, e11) = all_0_144_144 & op1(e12, e10) = all_0_145_145 & op1(e11, all_0_141_141) = all_0_115_115 & op1(e11, all_0_144_144) = all_0_118_118 & op1(e11, all_0_148_148) = all_0_122_122 & op1(e11, e13) = all_0_146_146 & op1(e11, e12) = all_0_147_147 & op1(e11, e11) = all_0_148_148 & op1(e11, e10) = all_0_149_149 & op1(e10, all_0_145_145) = all_0_119_119 & op1(e10, all_0_149_149) = all_0_123_123 & op1(e10, e13) = all_0_150_150 & op1(e10, e12) = all_0_151_151 & op1(e10, e11) = e13 & op1(e10, e10) = e11 & h1(all_0_139_139) = all_0_84_84 & h1(all_0_140_140) = all_0_85_85 & h1(all_0_141_141) = all_0_86_86 & h1(all_0_142_142) = all_0_87_87 & h1(all_0_143_143) = all_0_88_88 & h1(all_0_144_144) = all_0_89_89 & h1(all_0_145_145) = all_0_90_90 & h1(all_0_146_146) = all_0_91_91 & h1(all_0_147_147) = all_0_92_92 & h1(all_0_148_148) = all_0_93_93 & h1(all_0_149_149) = all_0_94_94 & h1(all_0_150_150) = all_0_95_95 & h1(all_0_151_151) = all_0_96_96 & h1(e13) = e23 & h1(e12) = e22 & h1(e11) = e21 & h1(e10) = e20 & h2(all_0_139_139) = all_0_57_57 & h2(all_0_140_140) = all_0_59_59 & h2(all_0_141_141) = all_0_61_61 & h2(all_0_142_142) = all_0_64_64 & h2(all_0_143_143) = all_0_66_66 & h2(all_0_144_144) = all_0_68_68 & h2(all_0_145_145) = all_0_70_70 & h2(all_0_146_146) = all_0_72_72 & h2(all_0_147_147) = all_0_74_74 & h2(all_0_148_148) = all_0_76_76 & h2(all_0_149_149) = all_0_78_78 & h2(all_0_150_150) = all_0_80_80 & h2(all_0_151_151) = all_0_82_82 & h2(e13) = all_0_109_109 & h2(e12) = all_0_99_99 & h2(e11) = all_0_135_135 & h2(e10) = e21 & h3(all_0_139_139) = all_0_29_29 & h3(all_0_140_140) = all_0_31_31 & h3(all_0_141_141) = all_0_33_33 & h3(all_0_142_142) = all_0_36_36 & h3(all_0_143_143) = all_0_38_38 & h3(all_0_144_144) = all_0_40_40 & h3(all_0_145_145) = all_0_42_42 & h3(all_0_146_146) = all_0_44_44 & h3(all_0_147_147) = all_0_46_46 & h3(all_0_148_148) = all_0_48_48 & h3(all_0_149_149) = all_0_50_50 & h3(all_0_150_150) = all_0_52_52 & h3(all_0_151_151) = all_0_54_54 & h3(e13) = all_0_104_104 & h3(e12) = all_0_98_98 & h3(e11) = all_0_130_130 & h3(e10) = e22 & h4(all_0_139_139) = all_0_1_1 & h4(all_0_140_140) = all_0_3_3 & h4(all_0_141_141) = all_0_5_5 & h4(all_0_142_142) = all_0_8_8 & h4(all_0_143_143) = all_0_10_10 & h4(all_0_144_144) = all_0_12_12 & h4(all_0_145_145) = all_0_14_14 & h4(all_0_146_146) = all_0_16_16 & h4(all_0_147_147) = all_0_18_18 & h4(all_0_148_148) = all_0_20_20 & h4(all_0_149_149) = all_0_22_22 & h4(all_0_150_150) = all_0_24_24 & h4(all_0_151_151) = all_0_26_26 & h4(e13) = all_0_100_100 & h4(e12) = all_0_97_97 & h4(e11) = all_0_126_126 & h4(e10) = e23 & op2(all_0_97_97, all_0_97_97) = all_0_9_9 & op2(all_0_97_97, all_0_100_100) = all_0_7_7 & op2(all_0_97_97, all_0_126_126) = all_0_11_11 & op2(all_0_97_97, e23) = all_0_13_13 & op2(all_0_98_98, all_0_98_98) = all_0_37_37 & op2(all_0_98_98, all_0_104_104) = all_0_35_35 & op2(all_0_98_98, all_0_130_130) = all_0_39_39 & op2(all_0_98_98, e22) = all_0_41_41 & op2(all_0_99_99, all_0_99_99) = all_0_65_65 & op2(all_0_99_99, all_0_109_109) = all_0_63_63 & op2(all_0_99_99, all_0_135_135) = all_0_67_67 & op2(all_0_99_99, e21) = all_0_69_69 & op2(all_0_100_100, all_0_97_97) = all_0_2_2 & op2(all_0_100_100, all_0_100_100) = all_0_0_0 & op2(all_0_100_100, all_0_126_126) = all_0_4_4 & op2(all_0_100_100, e23) = all_0_6_6 & op2(all_0_100_100, e23) = all_0_97_97 & op2(all_0_104_104, all_0_98_98) = all_0_30_30 & op2(all_0_104_104, all_0_104_104) = all_0_28_28 & op2(all_0_104_104, all_0_130_130) = all_0_32_32 & op2(all_0_104_104, e22) = all_0_34_34 & op2(all_0_104_104, e22) = all_0_98_98 & op2(all_0_109_109, all_0_99_99) = all_0_58_58 & op2(all_0_109_109, all_0_109_109) = all_0_56_56 & op2(all_0_109_109, all_0_135_135) = all_0_60_60 & op2(all_0_109_109, e21) = all_0_62_62 & op2(all_0_109_109, e21) = all_0_99_99 & op2(all_0_126_126, all_0_97_97) = all_0_17_17 & op2(all_0_126_126, all_0_100_100) = all_0_15_15 & op2(all_0_126_126, all_0_126_126) = all_0_19_19 & op2(all_0_126_126, e23) = all_0_21_21 & op2(all_0_130_130, all_0_98_98) = all_0_45_45 & op2(all_0_130_130, all_0_104_104) = all_0_43_43 & op2(all_0_130_130, all_0_130_130) = all_0_47_47 & op2(all_0_130_130, e22) = all_0_49_49 & op2(all_0_135_135, all_0_99_99) = all_0_73_73 & op2(all_0_135_135, all_0_109_109) = all_0_71_71 & op2(all_0_135_135, all_0_135_135) = all_0_75_75 & op2(all_0_135_135, e21) = all_0_77_77 & op2(e23, all_0_97_97) = all_0_25_25 & op2(e23, all_0_100_100) = all_0_23_23 & op2(e23, all_0_126_126) = all_0_27_27 & op2(e23, all_0_126_126) = all_0_100_100 & op2(e23, all_0_129_129) = all_0_103_103 & op2(e23, all_0_133_133) = all_0_107_107 & op2(e23, all_0_137_137) = all_0_111_111 & op2(e23, e23) = all_0_126_126 & op2(e23, e22) = all_0_127_127 & op2(e23, e21) = all_0_128_128 & op2(e23, e20) = e22 & op2(e22, all_0_98_98) = all_0_53_53 & op2(e22, all_0_104_104) = all_0_51_51 & op2(e22, all_0_127_127) = all_0_101_101 & op2(e22, all_0_130_130) = all_0_55_55 & op2(e22, all_0_130_130) = all_0_104_104 & op2(e22, all_0_134_134) = all_0_108_108 & op2(e22, all_0_138_138) = all_0_112_112 & op2(e22, e23) = all_0_129_129 & op2(e22, e22) = all_0_130_130 & op2(e22, e21) = all_0_131_131 & op2(e22, e20) = all_0_132_132 & op2(e21, all_0_99_99) = all_0_81_81 & op2(e21, all_0_109_109) = all_0_79_79 & op2(e21, all_0_128_128) = all_0_102_102 & op2(e21, all_0_131_131) = all_0_105_105 & op2(e21, all_0_135_135) = all_0_83_83 & op2(e21, all_0_135_135) = all_0_109_109 & op2(e21, e23) = all_0_133_133 & op2(e21, e22) = all_0_134_134 & op2(e21, e21) = all_0_135_135 & op2(e21, e20) = all_0_136_136 & op2(e20, all_0_132_132) = all_0_106_106 & op2(e20, all_0_136_136) = all_0_110_110 & op2(e20, e23) = all_0_137_137 & op2(e20, e22) = all_0_138_138 & op2(e20, e21) = e23 & op2(e20, e20) = e21 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0)) & ( ~ (all_0_0_0 = all_0_1_1) | ~ (all_0_2_2 = all_0_3_3) | ~ (all_0_4_4 = all_0_5_5) | ~ (all_0_6_6 = all_0_97_97) | ~ (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_100_100) | ( ~ (all_0_97_97 = e22) & ~ (all_0_100_100 = e22)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_100_100 = e21) & ~ (all_0_126_126 = e21)) | ( ~ (all_0_97_97 = e20) & ~ (all_0_100_100 = e20) & ~ (all_0_126_126 = e20))) & ( ~ (all_0_28_28 = all_0_29_29) | ~ (all_0_30_30 = all_0_31_31) | ~ (all_0_32_32 = all_0_33_33) | ~ (all_0_34_34 = all_0_98_98) | ~ (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_104_104) | ( ~ (all_0_98_98 = e23) & ~ (all_0_104_104 = e23) & ~ (all_0_130_130 = e23)) | ( ~ (all_0_98_98 = e21) & ~ (all_0_104_104 = e21) & ~ (all_0_130_130 = e21)) | ( ~ (all_0_98_98 = e20) & ~ (all_0_104_104 = e20) & ~ (all_0_130_130 = e20))) & ( ~ (all_0_56_56 = all_0_57_57) | ~ (all_0_58_58 = all_0_59_59) | ~ (all_0_60_60 = all_0_61_61) | ~ (all_0_62_62 = all_0_99_99) | ~ (all_0_63_63 = all_0_64_64) | ~ (all_0_65_65 = all_0_66_66) | ~ (all_0_67_67 = all_0_68_68) | ~ (all_0_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_109_109) | ( ~ (all_0_99_99 = e23) & ~ (all_0_109_109 = e23)) | ( ~ (all_0_99_99 = e22) & ~ (all_0_109_109 = e22) & ~ (all_0_135_135 = e22)) | ( ~ (all_0_99_99 = e20) & ~ (all_0_109_109 = e20) & ~ (all_0_135_135 = e20))) & ( ~ (all_0_84_84 = all_0_126_126) | ~ (all_0_85_85 = all_0_127_127) | ~ (all_0_86_86 = all_0_128_128) | ~ (all_0_87_87 = all_0_129_129) | ~ (all_0_88_88 = all_0_130_130) | ~ (all_0_89_89 = all_0_131_131) | ~ (all_0_90_90 = all_0_132_132) | ~ (all_0_91_91 = all_0_133_133) | ~ (all_0_92_92 = all_0_134_134) | ~ (all_0_93_93 = all_0_135_135) | ~ (all_0_94_94 = all_0_136_136) | ~ (all_0_95_95 = all_0_137_137) | ~ (all_0_96_96 = all_0_138_138)) & ( ~ (all_0_136_136 = e23) | (all_0_126_126 = e21 & ( ~ (all_0_128_128 = e21) | ~ (all_0_133_133 = e21)) & ( ~ (all_0_128_128 = e20) | ~ (all_0_133_133 = e20))) | (all_0_126_126 = e20 & ~ (all_0_137_137 = e22)) | (all_0_130_130 = e23 & ( ~ (all_0_127_127 = e23) | ~ (all_0_129_129 = e23)) & ( ~ (all_0_127_127 = e21) | ~ (all_0_129_129 = e21)) & ( ~ (all_0_127_127 = e20) | ~ (all_0_129_129 = e20))) | (all_0_130_130 = e21 & ( ~ (all_0_131_131 = e22) | ~ (all_0_134_134 = e22)) & ( ~ (all_0_131_131 = e21) | ~ (all_0_134_134 = e21)) & ( ~ (all_0_131_131 = e20) | ~ (all_0_134_134 = e20))) | (all_0_130_130 = e20 & ( ~ (all_0_132_132 = e20) | ~ (all_0_138_138 = e20))) | (all_0_135_135 = e22 & ( ~ (all_0_131_131 = e22) | ~ (all_0_134_134 = e22)) & ( ~ (all_0_131_131 = e21) | ~ (all_0_134_134 = e21)) & ( ~ (all_0_131_131 = e20) | ~ (all_0_134_134 = e20)))) & ( ~ (all_0_149_149 = e13) | (all_0_139_139 = e11 & ( ~ (all_0_141_141 = e11) | ~ (all_0_146_146 = e11)) & ( ~ (all_0_141_141 = e10) | ~ (all_0_146_146 = e10))) | (all_0_139_139 = e10 & ~ (all_0_150_150 = e12)) | (all_0_143_143 = e13 & ( ~ (all_0_140_140 = e13) | ~ (all_0_142_142 = e13)) & ( ~ (all_0_140_140 = e11) | ~ (all_0_142_142 = e11)) & ( ~ (all_0_140_140 = e10) | ~ (all_0_142_142 = e10))) | (all_0_143_143 = e11 & ( ~ (all_0_144_144 = e12) | ~ (all_0_147_147 = e12)) & ( ~ (all_0_144_144 = e11) | ~ (all_0_147_147 = e11)) & ( ~ (all_0_144_144 = e10) | ~ (all_0_147_147 = e10))) | (all_0_143_143 = e10 & ( ~ (all_0_145_145 = e10) | ~ (all_0_151_151 = e10))) | (all_0_148_148 = e12 & ( ~ (all_0_144_144 = e12) | ~ (all_0_147_147 = e12)) & ( ~ (all_0_144_144 = e11) | ~ (all_0_147_147 = e11)) & ( ~ (all_0_144_144 = e10) | ~ (all_0_147_147 = e10)))) & (all_0_126_126 = e23 | all_0_126_126 = e21 | all_0_126_126 = e20) & (all_0_126_126 = e23 | all_0_127_127 = e23) & (all_0_126_126 = e23 | all_0_129_129 = e23 | all_0_133_133 = e23) & (all_0_126_126 = e21 | all_0_127_127 = e21 | all_0_128_128 = e21) & (all_0_126_126 = e21 | all_0_129_129 = e21 | all_0_133_133 = e21) & (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_137_137 = e20) & (all_0_127_127 = e23 | all_0_127_127 = e21 | all_0_127_127 = e20) & (all_0_127_127 = e23 | all_0_130_130 = e23 | all_0_134_134 = e23) & (all_0_127_127 = e21 | all_0_130_130 = e21 | all_0_134_134 = e21) & (all_0_127_127 = e20 | all_0_130_130 = e20 | all_0_134_134 = e20 | all_0_138_138 = e20) & (all_0_128_128 = e21 | all_0_128_128 = e20) & (all_0_128_128 = e21 | all_0_131_131 = e21 | all_0_135_135 = e21) & (all_0_128_128 = e20 | all_0_131_131 = e20 | all_0_135_135 = e20) & (all_0_129_129 = e23 | all_0_129_129 = e22 | all_0_129_129 = e21 | all_0_129_129 = e20) & (all_0_129_129 = e23 | all_0_130_130 = e23 | all_0_132_132 = e23) & (all_0_129_129 = e22 | all_0_130_130 = e22 | all_0_131_131 = e22) & (all_0_129_129 = e22 | all_0_133_133 = e22 | all_0_137_137 = e22) & (all_0_129_129 = e21 | all_0_130_130 = e21 | all_0_131_131 = e21) & (all_0_129_129 = e20 | all_0_130_130 = e20 | all_0_131_131 = e20 | all_0_132_132 = e20) & (all_0_130_130 = e23 | all_0_130_130 = e22 | all_0_130_130 = e21 | all_0_130_130 = e20) & (all_0_130_130 = e22 | all_0_134_134 = e22 | all_0_138_138 = e22) & (all_0_131_131 = e22 | all_0_131_131 = e21 | all_0_131_131 = e20) & (all_0_131_131 = e22 | all_0_135_135 = e22) & (all_0_132_132 = e23 | all_0_132_132 = e20) & (all_0_132_132 = e23 | all_0_136_136 = e23) & (all_0_132_132 = e20 | all_0_136_136 = e20) & (all_0_133_133 = e23 | all_0_133_133 = e22 | all_0_133_133 = e21 | all_0_133_133 = e20) & (all_0_133_133 = e23 | all_0_134_134 = e23 | all_0_136_136 = e23) & (all_0_133_133 = e22 | all_0_134_134 = e22 | all_0_135_135 = e22) & (all_0_133_133 = e21 | all_0_134_134 = e21 | all_0_135_135 = e21) & (all_0_133_133 = e20 | all_0_134_134 = e20 | all_0_135_135 = e20 | all_0_136_136 = e20) & (all_0_134_134 = e23 | all_0_134_134 = e22 | all_0_134_134 = e21 | all_0_134_134 = e20) & (all_0_135_135 = e22 | all_0_135_135 = e21 | all_0_135_135 = e20) & (all_0_136_136 = e23 | all_0_136_136 = e20) & (all_0_137_137 = e22 | all_0_137_137 = e20) & (all_0_137_137 = e22 | all_0_138_138 = e22) & (all_0_137_137 = e20 | all_0_138_138 = e20) & (all_0_138_138 = e22 | all_0_138_138 = e20) & (all_0_139_139 = e13 | all_0_139_139 = e11 | all_0_139_139 = e10) & (all_0_139_139 = e13 | all_0_140_140 = e13) & (all_0_139_139 = e13 | all_0_142_142 = e13 | all_0_146_146 = e13) & (all_0_139_139 = e11 | all_0_140_140 = e11 | all_0_141_141 = e11) & (all_0_139_139 = e11 | all_0_142_142 = e11 | all_0_146_146 = e11) & (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_150_150 = e10) & (all_0_140_140 = e13 | all_0_140_140 = e11 | all_0_140_140 = e10) & (all_0_140_140 = e13 | all_0_143_143 = e13 | all_0_147_147 = e13) & (all_0_140_140 = e11 | all_0_143_143 = e11 | all_0_147_147 = e11) & (all_0_140_140 = e10 | all_0_143_143 = e10 | all_0_147_147 = e10 | all_0_151_151 = e10) & (all_0_141_141 = e11 | all_0_141_141 = e10) & (all_0_141_141 = e11 | all_0_144_144 = e11 | all_0_148_148 = e11) & (all_0_141_141 = e10 | all_0_144_144 = e10 | all_0_148_148 = e10) & (all_0_142_142 = e13 | all_0_142_142 = e12 | all_0_142_142 = e11 | all_0_142_142 = e10) & (all_0_142_142 = e13 | all_0_143_143 = e13 | all_0_145_145 = e13) & (all_0_142_142 = e12 | all_0_143_143 = e12 | all_0_144_144 = e12) & (all_0_142_142 = e12 | all_0_146_146 = e12 | all_0_150_150 = e12) & (all_0_142_142 = e11 | all_0_143_143 = e11 | all_0_144_144 = e11) & (all_0_142_142 = e10 | all_0_143_143 = e10 | all_0_144_144 = e10 | all_0_145_145 = e10) & (all_0_143_143 = e13 | all_0_143_143 = e12 | all_0_143_143 = e11 | all_0_143_143 = e10) & (all_0_143_143 = e12 | all_0_147_147 = e12 | all_0_151_151 = e12) & (all_0_144_144 = e12 | all_0_144_144 = e11 | all_0_144_144 = e10) & (all_0_144_144 = e12 | all_0_148_148 = e12) & (all_0_145_145 = e13 | all_0_145_145 = e10) & (all_0_145_145 = e13 | all_0_149_149 = e13) & (all_0_145_145 = e10 | all_0_149_149 = e10) & (all_0_146_146 = e13 | all_0_146_146 = e12 | all_0_146_146 = e11 | all_0_146_146 = e10) & (all_0_146_146 = e13 | all_0_147_147 = e13 | all_0_149_149 = e13) & (all_0_146_146 = e12 | all_0_147_147 = e12 | all_0_148_148 = e12) & (all_0_146_146 = e11 | all_0_147_147 = e11 | all_0_148_148 = e11) & (all_0_146_146 = e10 | all_0_147_147 = e10 | all_0_148_148 = e10 | all_0_149_149 = e10) & (all_0_147_147 = e13 | all_0_147_147 = e12 | all_0_147_147 = e11 | all_0_147_147 = e10) & (all_0_148_148 = e12 | all_0_148_148 = e11 | all_0_148_148 = e10) & (all_0_149_149 = e13 | all_0_149_149 = e10) & (all_0_150_150 = e12 | all_0_150_150 = e10) & (all_0_150_150 = e12 | all_0_151_151 = e12) & (all_0_150_150 = e10 | all_0_151_151 = e10) & (all_0_151_151 = e12 | all_0_151_151 = e10) & ((all_0_101_101 = e22 & all_0_127_127 = all_0_129_129) | (all_0_102_102 = e21 & all_0_128_128 = all_0_133_133) | (all_0_103_103 = e23 & all_0_127_127 = all_0_129_129) | (all_0_105_105 = e21 & all_0_131_131 = all_0_134_134) | (all_0_106_106 = e20 & all_0_132_132 = all_0_138_138) | (all_0_107_107 = e23 & all_0_128_128 = all_0_133_133) | (all_0_108_108 = e22 & all_0_131_131 = all_0_134_134) | (all_0_110_110 = e20 & all_0_136_136 = e23) | (all_0_111_111 = e23 & all_0_137_137 = e22) | (all_0_112_112 = e22 & all_0_132_132 = all_0_138_138) | (all_0_133_133 = e21 & all_0_136_136 = e23) | (all_0_137_137 = e22 & all_0_138_138 = e20)) & ((all_0_114_114 = e12 & all_0_140_140 = all_0_142_142) | (all_0_115_115 = e11 & all_0_141_141 = all_0_146_146) | (all_0_116_116 = e13 & all_0_140_140 = all_0_142_142) | (all_0_118_118 = e11 & all_0_144_144 = all_0_147_147) | (all_0_119_119 = e10 & all_0_145_145 = all_0_151_151) | (all_0_120_120 = e13 & all_0_141_141 = all_0_146_146) | (all_0_121_121 = e12 & all_0_144_144 = all_0_147_147) | (all_0_123_123 = e10 & all_0_149_149 = e13) | (all_0_124_124 = e13 & all_0_150_150 = e12) | (all_0_125_125 = e12 & all_0_145_145 = all_0_151_151) | (all_0_146_146 = e11 & all_0_149_149 = e13) | (all_0_150_150 = e12 & all_0_151_151 = e10)) & ((all_0_127_127 = e23 & all_0_129_129 = e23 & ~ (all_0_126_126 = e23) & ~ (all_0_133_133 = e21) & ~ (all_0_137_137 = e20)) | (all_0_128_128 = e21 & all_0_133_133 = e21 & ~ (all_0_131_131 = e22) & ~ (all_0_135_135 = e21)) | (all_0_131_131 = e22 & all_0_134_134 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_138_138 = e20)) | (all_0_131_131 = e21 & all_0_134_134 = e21 & ~ (all_0_135_135 = e21)) | (all_0_132_132 = e20 & all_0_138_138 = e20)) & ((all_0_140_140 = e13 & all_0_142_142 = e13 & ~ (all_0_139_139 = e13) & ~ (all_0_146_146 = e11) & ~ (all_0_150_150 = e10)) | (all_0_141_141 = e11 & all_0_146_146 = e11 & ~ (all_0_144_144 = e12) & ~ (all_0_148_148 = e11)) | (all_0_144_144 = e12 & all_0_147_147 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_151_151 = e10)) | (all_0_144_144 = e11 & all_0_147_147 = e11 & ~ (all_0_148_148 = e11)) | (all_0_145_145 = e10 & all_0_151_151 = e10))
% 15.73/4.29 |
% 15.73/4.29 | Applying alpha-rule on (1) yields:
% 15.73/4.29 | (2) all_0_137_137 = e22 | all_0_138_138 = e22
% 15.73/4.29 | (3) h3(e12) = all_0_98_98
% 15.73/4.29 | (4) op1(e13, all_0_142_142) = all_0_116_116
% 15.73/4.29 | (5) h1(all_0_140_140) = all_0_85_85
% 15.73/4.29 | (6) all_0_141_141 = e10 | all_0_144_144 = e10 | all_0_148_148 = e10
% 15.73/4.29 | (7) ~ (all_0_143_143 = all_0_144_144)
% 15.73/4.29 | (8) op2(e22, e21) = all_0_131_131
% 15.73/4.29 | (9) ~ (all_0_126_126 = all_0_133_133)
% 15.73/4.29 | (10) ~ (all_0_140_140 = all_0_151_151)
% 15.73/4.29 | (11) all_0_142_142 = e13 | all_0_142_142 = e12 | all_0_142_142 = e11 | all_0_142_142 = e10
% 15.73/4.29 | (12) all_0_142_142 = e10 | all_0_143_143 = e10 | all_0_144_144 = e10 | all_0_145_145 = e10
% 15.73/4.29 | (13) ~ (all_0_133_133 = all_0_134_134)
% 15.73/4.29 | (14) op2(all_0_97_97, all_0_100_100) = all_0_7_7
% 15.73/4.29 | (15) ~ (all_0_135_135 = all_0_136_136)
% 15.73/4.29 | (16) ~ (all_0_148_148 = e13)
% 15.73/4.29 | (17) h1(all_0_144_144) = all_0_89_89
% 15.73/4.29 | (18) all_0_128_128 = e21 | all_0_128_128 = e20
% 15.73/4.29 | (19) op1(e13, e13) = all_0_139_139
% 15.73/4.29 | (20) h2(all_0_150_150) = all_0_80_80
% 15.73/4.29 | (21) ~ (all_0_128_128 = all_0_131_131)
% 15.73/4.29 | (22) op1(e11, e12) = all_0_147_147
% 15.73/4.29 | (23) ~ (all_0_146_146 = all_0_150_150)
% 15.73/4.29 | (24) h1(all_0_145_145) = all_0_90_90
% 15.73/4.29 | (25) ~ (e23 = e22)
% 15.73/4.29 | (26) op2(all_0_104_104, all_0_98_98) = all_0_30_30
% 15.73/4.29 | (27) all_0_139_139 = e13 | all_0_140_140 = e13
% 15.73/4.29 | (28) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0))
% 15.73/4.29 | (29) ~ (all_0_129_129 = all_0_133_133)
% 15.73/4.29 | (30) all_0_132_132 = e23 | all_0_136_136 = e23
% 15.73/4.29 | (31) ~ (e21 = e10)
% 15.73/4.29 | (32) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0))
% 15.73/4.29 | (33) ~ (all_0_145_145 = all_0_149_149)
% 15.73/4.29 | (34) h2(e10) = e21
% 15.73/4.29 | (35) h3(all_0_142_142) = all_0_36_36
% 15.73/4.29 | (36) h3(e10) = e22
% 15.73/4.29 | (37) op2(e21, all_0_128_128) = all_0_102_102
% 15.73/4.29 | (38) ~ (all_0_128_128 = all_0_135_135)
% 15.73/4.29 | (39) op2(all_0_135_135, all_0_109_109) = all_0_71_71
% 15.73/4.29 | (40) ~ (all_0_149_149 = e12)
% 15.73/4.29 | (41) op2(all_0_98_98, all_0_98_98) = all_0_37_37
% 15.73/4.29 | (42) all_0_139_139 = e13 | all_0_142_142 = e13 | all_0_146_146 = e13
% 15.73/4.29 | (43) ~ (e22 = e11)
% 15.73/4.29 | (44) ~ (all_0_129_129 = all_0_130_130)
% 15.73/4.29 | (45) all_0_126_126 = e23 | all_0_126_126 = e21 | all_0_126_126 = e20
% 15.73/4.29 | (46) ~ (all_0_129_129 = all_0_131_131)
% 15.73/4.29 | (47) h2(e12) = all_0_99_99
% 15.73/4.29 | (48) all_0_151_151 = e12 | all_0_151_151 = e10
% 15.73/4.29 | (49) ~ (all_0_142_142 = all_0_146_146)
% 15.73/4.29 | (50) h2(all_0_143_143) = all_0_66_66
% 15.73/4.29 | (51) op2(all_0_97_97, all_0_126_126) = all_0_11_11
% 15.73/4.29 | (52) op2(all_0_98_98, e22) = all_0_41_41
% 15.73/4.30 | (53) all_0_141_141 = e11 | all_0_144_144 = e11 | all_0_148_148 = e11
% 15.73/4.30 | (54) (all_0_101_101 = e22 & all_0_127_127 = all_0_129_129) | (all_0_102_102 = e21 & all_0_128_128 = all_0_133_133) | (all_0_103_103 = e23 & all_0_127_127 = all_0_129_129) | (all_0_105_105 = e21 & all_0_131_131 = all_0_134_134) | (all_0_106_106 = e20 & all_0_132_132 = all_0_138_138) | (all_0_107_107 = e23 & all_0_128_128 = all_0_133_133) | (all_0_108_108 = e22 & all_0_131_131 = all_0_134_134) | (all_0_110_110 = e20 & all_0_136_136 = e23) | (all_0_111_111 = e23 & all_0_137_137 = e22) | (all_0_112_112 = e22 & all_0_132_132 = all_0_138_138) | (all_0_133_133 = e21 & all_0_136_136 = e23) | (all_0_137_137 = e22 & all_0_138_138 = e20)
% 15.73/4.30 | (55) all_0_136_136 = e23 | all_0_136_136 = e20
% 15.73/4.30 | (56) op2(e23, all_0_97_97) = all_0_25_25
% 15.73/4.30 | (57) h3(all_0_139_139) = all_0_29_29
% 15.73/4.30 | (58) all_0_139_139 = e11 | all_0_142_142 = e11 | all_0_146_146 = e11
% 15.73/4.30 | (59) ~ (all_0_131_131 = all_0_135_135)
% 15.73/4.30 | (60) op2(e21, e23) = all_0_133_133
% 15.73/4.30 | (61) ~ (all_0_147_147 = all_0_148_148)
% 15.73/4.30 | (62) op2(e21, e22) = all_0_134_134
% 15.73/4.30 | (63) h2(all_0_148_148) = all_0_76_76
% 15.73/4.30 | (64) all_0_147_147 = e13 | all_0_147_147 = e12 | all_0_147_147 = e11 | all_0_147_147 = e10
% 15.73/4.30 | (65) ~ (all_0_143_143 = all_0_145_145)
% 15.73/4.30 | (66) ~ (all_0_139_139 = e12)
% 15.73/4.30 | (67) h1(all_0_148_148) = all_0_93_93
% 15.73/4.30 | (68) ~ (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_98_98) | ~ (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_104_104) | ( ~ (all_0_98_98 = e23) & ~ (all_0_104_104 = e23) & ~ (all_0_130_130 = e23)) | ( ~ (all_0_98_98 = e21) & ~ (all_0_104_104 = e21) & ~ (all_0_130_130 = e21)) | ( ~ (all_0_98_98 = e20) & ~ (all_0_104_104 = e20) & ~ (all_0_130_130 = e20))
% 15.73/4.30 | (69) all_0_146_146 = e13 | all_0_146_146 = e12 | all_0_146_146 = e11 | all_0_146_146 = e10
% 15.73/4.30 | (70) op2(all_0_98_98, all_0_104_104) = all_0_35_35
% 15.73/4.30 | (71) h3(all_0_149_149) = all_0_50_50
% 15.73/4.30 | (72) all_0_126_126 = e20 | all_0_129_129 = e20 | all_0_133_133 = e20 | all_0_137_137 = e20
% 15.73/4.30 | (73) all_0_126_126 = e21 | all_0_129_129 = e21 | all_0_133_133 = e21
% 15.73/4.30 | (74) h1(all_0_141_141) = all_0_86_86
% 15.73/4.30 | (75) ~ (all_0_140_140 = all_0_147_147)
% 15.73/4.30 | (76) ~ (all_0_129_129 = all_0_137_137)
% 15.73/4.30 | (77) op2(e22, e23) = all_0_129_129
% 15.73/4.30 | (78) op2(e22, all_0_130_130) = all_0_55_55
% 15.73/4.30 | (79) all_0_146_146 = e11 | all_0_147_147 = e11 | all_0_148_148 = e11
% 15.73/4.30 | (80) h2(all_0_146_146) = all_0_72_72
% 15.73/4.30 | (81) h3(all_0_145_145) = all_0_42_42
% 15.73/4.30 | (82) ~ (all_0_130_130 = all_0_138_138)
% 15.73/4.30 | (83) ~ (all_0_141_141 = all_0_144_144)
% 15.73/4.30 | (84) h3(all_0_141_141) = all_0_33_33
% 15.73/4.30 | (85) ~ (all_0_143_143 = all_0_147_147)
% 15.73/4.30 | (86) ~ (all_0_146_146 = all_0_149_149)
% 15.73/4.30 | (87) h3(all_0_147_147) = all_0_46_46
% 15.73/4.30 | (88) op2(all_0_135_135, all_0_135_135) = all_0_75_75
% 15.73/4.30 | (89) h2(all_0_147_147) = all_0_74_74
% 15.73/4.30 | (90) op2(all_0_109_109, all_0_99_99) = all_0_58_58
% 15.73/4.30 | (91) all_0_131_131 = e22 | all_0_135_135 = e22
% 15.73/4.30 | (92) op2(e23, all_0_126_126) = all_0_27_27
% 15.73/4.30 | (93) all_0_129_129 = e22 | all_0_130_130 = e22 | all_0_131_131 = e22
% 15.73/4.30 | (94) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 15.73/4.30 | (95) all_0_140_140 = e11 | all_0_143_143 = e11 | all_0_147_147 = e11
% 15.73/4.30 | (96) ~ (all_0_138_138 = e21)
% 15.73/4.30 | (97) ~ (all_0_130_130 = all_0_132_132)
% 15.73/4.30 | (98) h1(e10) = e20
% 15.73/4.30 | (99) op2(all_0_97_97, all_0_97_97) = all_0_9_9
% 15.73/4.30 | (100) h1(all_0_139_139) = all_0_84_84
% 15.73/4.30 | (101) ~ (all_0_134_134 = all_0_135_135)
% 15.73/4.30 | (102) h3(all_0_143_143) = all_0_38_38
% 15.73/4.30 | (103) all_0_129_129 = e21 | all_0_130_130 = e21 | all_0_131_131 = e21
% 15.73/4.30 | (104) ~ (all_0_144_144 = e13)
% 15.73/4.30 | (105) all_0_139_139 = e13 | all_0_139_139 = e11 | all_0_139_139 = e10
% 15.73/4.30 | (106) op2(e23, all_0_129_129) = all_0_103_103
% 15.73/4.30 | (107) op2(e21, e20) = all_0_136_136
% 15.73/4.30 | (108) op2(all_0_98_98, all_0_130_130) = all_0_39_39
% 15.73/4.30 | (109) op2(e23, e21) = all_0_128_128
% 15.73/4.30 | (110) op2(all_0_135_135, all_0_99_99) = all_0_73_73
% 15.73/4.30 | (111) ~ (e23 = e13)
% 15.73/4.30 | (112) op1(e12, all_0_143_143) = all_0_117_117
% 15.73/4.30 | (113) h3(all_0_151_151) = all_0_54_54
% 15.73/4.30 | (114) op2(e23, e22) = all_0_127_127
% 15.73/4.30 | (115) h4(e10) = e23
% 15.73/4.30 | (116) h3(all_0_140_140) = all_0_31_31
% 15.73/4.31 | (117) all_0_142_142 = e12 | all_0_146_146 = e12 | all_0_150_150 = e12
% 15.73/4.31 | (118) ~ (all_0_148_148 = all_0_149_149)
% 15.73/4.31 | (119) all_0_145_145 = e13 | all_0_149_149 = e13
% 15.73/4.31 | (120) ~ (all_0_149_149 = e11)
% 15.73/4.31 | (121) h2(all_0_144_144) = all_0_68_68
% 15.73/4.31 | (122) ~ (all_0_143_143 = all_0_151_151)
% 15.73/4.31 | (123) op1(e11, all_0_141_141) = all_0_115_115
% 15.73/4.31 | (124) op2(all_0_109_109, e21) = all_0_62_62
% 15.73/4.31 | (125) ~ (all_0_139_139 = all_0_140_140)
% 15.73/4.31 | (126) all_0_142_142 = e11 | all_0_143_143 = e11 | all_0_144_144 = e11
% 15.73/4.31 | (127) all_0_149_149 = e13 | all_0_149_149 = e10
% 15.73/4.31 | (128) ~ (e22 = e20)
% 15.73/4.31 | (129) op2(all_0_109_109, all_0_109_109) = all_0_56_56
% 15.73/4.31 | (130) h1(all_0_147_147) = all_0_92_92
% 15.73/4.31 | (131) op2(e20, e21) = e23
% 15.73/4.31 | (132) ~ (all_0_130_130 = all_0_134_134)
% 15.73/4.31 | (133) op2(e22, e22) = all_0_130_130
% 15.73/4.31 | (134) ~ (all_0_142_142 = all_0_144_144)
% 15.73/4.31 | (135) h4(all_0_145_145) = all_0_14_14
% 15.73/4.31 | (136) h2(all_0_145_145) = all_0_70_70
% 15.73/4.31 | (137) ~ (all_0_128_128 = e23)
% 15.73/4.31 | (138) ~ (all_0_137_137 = all_0_138_138)
% 15.73/4.31 | (139) ~ (all_0_134_134 = all_0_138_138)
% 15.73/4.31 | (140) ~ (all_0_56_56 = all_0_57_57) | ~ (all_0_58_58 = all_0_59_59) | ~ (all_0_60_60 = all_0_61_61) | ~ (all_0_62_62 = all_0_99_99) | ~ (all_0_63_63 = all_0_64_64) | ~ (all_0_65_65 = all_0_66_66) | ~ (all_0_67_67 = all_0_68_68) | ~ (all_0_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_109_109) | ( ~ (all_0_99_99 = e23) & ~ (all_0_109_109 = e23)) | ( ~ (all_0_99_99 = e22) & ~ (all_0_109_109 = e22) & ~ (all_0_135_135 = e22)) | ( ~ (all_0_99_99 = e20) & ~ (all_0_109_109 = e20) & ~ (all_0_135_135 = e20))
% 15.73/4.31 | (141) h4(all_0_142_142) = all_0_8_8
% 15.73/4.31 | (142) h4(all_0_139_139) = all_0_1_1
% 15.73/4.31 | (143) h1(all_0_143_143) = all_0_88_88
% 15.73/4.31 | (144) op2(all_0_126_126, all_0_97_97) = all_0_17_17
% 15.73/4.31 | (145) ~ (all_0_141_141 = all_0_148_148)
% 15.73/4.31 | (146) op2(all_0_100_100, all_0_126_126) = all_0_4_4
% 15.73/4.31 | (147) all_0_142_142 = e12 | all_0_143_143 = e12 | all_0_144_144 = e12
% 15.73/4.31 | (148) op2(e21, all_0_135_135) = all_0_83_83
% 15.73/4.31 | (149) all_0_129_129 = e20 | all_0_130_130 = e20 | all_0_131_131 = e20 | all_0_132_132 = e20
% 15.73/4.31 | (150) h2(all_0_142_142) = all_0_64_64
% 15.73/4.31 | (151) op1(e13, e11) = all_0_141_141
% 15.73/4.31 | (152) h1(all_0_149_149) = all_0_94_94
% 15.73/4.31 | (153) h3(all_0_148_148) = all_0_48_48
% 15.73/4.31 | (154) op2(all_0_130_130, all_0_130_130) = all_0_47_47
% 15.73/4.31 | (155) op2(e22, all_0_130_130) = all_0_104_104
% 15.73/4.31 | (156) all_0_128_128 = e21 | all_0_131_131 = e21 | all_0_135_135 = e21
% 15.73/4.31 | (157) op2(e20, e20) = e21
% 15.73/4.31 | (158) ~ (all_0_144_144 = all_0_148_148)
% 15.73/4.31 | (159) all_0_126_126 = e20 | all_0_127_127 = e20 | all_0_128_128 = e20
% 15.73/4.31 | (160) all_0_129_129 = e22 | all_0_133_133 = e22 | all_0_137_137 = e22
% 15.73/4.31 | (161) op2(e22, all_0_127_127) = all_0_101_101
% 15.73/4.31 | (162) h2(all_0_151_151) = all_0_82_82
% 15.73/4.31 | (163) op1(e13, all_0_150_150) = all_0_124_124
% 15.73/4.31 | (164) ~ (all_0_141_141 = e12)
% 15.73/4.31 | (165) op1(e11, e13) = all_0_146_146
% 15.73/4.31 | (166) all_0_127_127 = e20 | all_0_130_130 = e20 | all_0_134_134 = e20 | all_0_138_138 = e20
% 15.73/4.31 | (167) all_0_145_145 = e10 | all_0_149_149 = e10
% 15.73/4.31 | (168) ~ (e21 = e11)
% 15.73/4.31 | (169) all_0_144_144 = e12 | all_0_148_148 = e12
% 15.73/4.31 | (170) ~ (e12 = e10)
% 15.73/4.31 | (171) h1(e12) = e22
% 15.73/4.31 | (172) op2(e22, all_0_104_104) = all_0_51_51
% 15.73/4.31 | (173) op2(e21, all_0_131_131) = all_0_105_105
% 15.73/4.31 | (174) ~ (all_0_141_141 = e13)
% 15.73/4.31 | (175) op2(all_0_104_104, e22) = all_0_98_98
% 15.73/4.31 | (176) ~ (all_0_136_136 = e22)
% 15.73/4.31 | (177) ~ (e20 = e10)
% 15.73/4.31 | (178) ~ (all_0_127_127 = e22)
% 15.73/4.31 | (179) h4(e11) = all_0_126_126
% 15.73/4.31 | (180) all_0_143_143 = e13 | all_0_143_143 = e12 | all_0_143_143 = e11 | all_0_143_143 = e10
% 15.73/4.31 | (181) h1(all_0_150_150) = all_0_95_95
% 15.73/4.32 | (182) op1(e11, e11) = all_0_148_148
% 15.73/4.32 | (183) all_0_131_131 = e22 | all_0_131_131 = e21 | all_0_131_131 = e20
% 15.73/4.32 | (184) all_0_137_137 = e20 | all_0_138_138 = e20
% 15.73/4.32 | (185) op2(all_0_109_109, all_0_135_135) = all_0_60_60
% 15.73/4.32 | (186) h3(all_0_146_146) = all_0_44_44
% 15.73/4.32 | (187) op1(e10, all_0_149_149) = all_0_123_123
% 15.73/4.32 | (188) op2(e21, all_0_109_109) = all_0_79_79
% 15.73/4.32 | (189) all_0_144_144 = e12 | all_0_144_144 = e11 | all_0_144_144 = e10
% 15.73/4.32 | (190) op2(all_0_99_99, e21) = all_0_69_69
% 15.73/4.32 | (191) ~ (all_0_133_133 = all_0_135_135)
% 15.73/4.32 | (192) ~ (all_0_132_132 = e21)
% 15.73/4.32 | (193) all_0_127_127 = e23 | all_0_127_127 = e21 | all_0_127_127 = e20
% 15.73/4.32 | (194) all_0_129_129 = e23 | all_0_129_129 = e22 | all_0_129_129 = e21 | all_0_129_129 = e20
% 15.73/4.32 | (195) ~ (all_0_139_139 = all_0_146_146)
% 15.73/4.32 | (196) op2(all_0_126_126, all_0_126_126) = all_0_19_19
% 15.73/4.32 | (197) op2(all_0_104_104, all_0_104_104) = all_0_28_28
% 15.73/4.32 | (198) h3(all_0_144_144) = all_0_40_40
% 15.73/4.32 | (199) op1(e10, e11) = e13
% 15.73/4.32 | (200) h1(all_0_146_146) = all_0_91_91
% 15.73/4.32 | (201) h4(all_0_144_144) = all_0_12_12
% 15.73/4.32 | (202) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0))
% 15.73/4.32 | (203) all_0_137_137 = e22 | all_0_137_137 = e20
% 15.73/4.32 | (204) op2(e22, all_0_98_98) = all_0_53_53
% 15.73/4.32 | (205) h2(e13) = all_0_109_109
% 15.73/4.32 | (206) op2(all_0_130_130, all_0_98_98) = all_0_45_45
% 15.73/4.32 | (207) op1(e11, e10) = all_0_149_149
% 15.73/4.32 | (208) ~ (e13 = e10)
% 15.73/4.32 | (209) op2(e21, e21) = all_0_135_135
% 15.73/4.32 | (210) op1(e11, all_0_148_148) = all_0_122_122
% 15.73/4.32 | (211) all_0_145_145 = e13 | all_0_145_145 = e10
% 15.73/4.32 | (212) all_0_127_127 = e23 | all_0_130_130 = e23 | all_0_134_134 = e23
% 15.73/4.32 | (213) (all_0_114_114 = e12 & all_0_140_140 = all_0_142_142) | (all_0_115_115 = e11 & all_0_141_141 = all_0_146_146) | (all_0_116_116 = e13 & all_0_140_140 = all_0_142_142) | (all_0_118_118 = e11 & all_0_144_144 = all_0_147_147) | (all_0_119_119 = e10 & all_0_145_145 = all_0_151_151) | (all_0_120_120 = e13 & all_0_141_141 = all_0_146_146) | (all_0_121_121 = e12 & all_0_144_144 = all_0_147_147) | (all_0_123_123 = e10 & all_0_149_149 = e13) | (all_0_124_124 = e13 & all_0_150_150 = e12) | (all_0_125_125 = e12 & all_0_145_145 = all_0_151_151) | (all_0_146_146 = e11 & all_0_149_149 = e13) | (all_0_150_150 = e12 & all_0_151_151 = e10)
% 15.73/4.32 | (214) h2(all_0_141_141) = all_0_61_61
% 15.73/4.32 | (215) op1(e12, all_0_147_147) = all_0_121_121
% 15.73/4.32 | (216) op2(all_0_97_97, e23) = all_0_13_13
% 15.73/4.32 | (217) ~ (all_0_133_133 = all_0_136_136)
% 15.73/4.32 | (218) op2(e23, all_0_133_133) = all_0_107_107
% 15.73/4.32 | (219) h4(e13) = all_0_100_100
% 15.73/4.32 | (220) all_0_139_139 = e11 | all_0_140_140 = e11 | all_0_141_141 = e11
% 15.73/4.32 | (221) h2(all_0_139_139) = all_0_57_57
% 15.73/4.32 | (222) ~ (all_0_126_126 = all_0_128_128)
% 15.73/4.32 | (223) ~ (all_0_150_150 = e11)
% 15.73/4.32 | (224) ~ (all_0_133_133 = all_0_137_137)
% 15.73/4.32 | (225) ~ (e20 = e13)
% 15.73/4.32 | (226) op2(all_0_126_126, e23) = all_0_21_21
% 15.73/4.32 | (227) ~ (all_0_128_128 = e22)
% 15.73/4.32 | (228) ~ (e20 = e11)
% 15.73/4.32 | (229) op2(e21, all_0_99_99) = all_0_81_81
% 15.73/4.32 | (230) op2(e22, e20) = all_0_132_132
% 15.73/4.32 | (231) h3(e13) = all_0_104_104
% 15.73/4.32 | (232) all_0_150_150 = e12 | all_0_150_150 = e10
% 15.73/4.32 | (233) ~ (all_0_84_84 = all_0_126_126) | ~ (all_0_85_85 = all_0_127_127) | ~ (all_0_86_86 = all_0_128_128) | ~ (all_0_87_87 = all_0_129_129) | ~ (all_0_88_88 = all_0_130_130) | ~ (all_0_89_89 = all_0_131_131) | ~ (all_0_90_90 = all_0_132_132) | ~ (all_0_91_91 = all_0_133_133) | ~ (all_0_92_92 = all_0_134_134) | ~ (all_0_93_93 = all_0_135_135) | ~ (all_0_94_94 = all_0_136_136) | ~ (all_0_95_95 = all_0_137_137) | ~ (all_0_96_96 = all_0_138_138)
% 15.73/4.32 | (234) ~ (all_0_127_127 = all_0_138_138)
% 15.73/4.32 | (235) ~ (all_0_139_139 = all_0_142_142)
% 15.73/4.32 | (236) op2(e23, all_0_137_137) = all_0_111_111
% 15.73/4.32 | (237) op1(e12, e13) = all_0_142_142
% 15.73/4.32 | (238) op2(all_0_104_104, e22) = all_0_34_34
% 15.73/4.32 | (239) ~ (e23 = e10)
% 15.73/4.32 | (240) all_0_126_126 = e23 | all_0_127_127 = e23
% 15.73/4.32 | (241) op2(all_0_100_100, e23) = all_0_97_97
% 15.73/4.32 | (242) ~ (all_0_140_140 = e12)
% 15.73/4.32 | (243) op2(e22, all_0_138_138) = all_0_112_112
% 15.73/4.32 | (244) ~ (all_0_137_137 = e23)
% 15.73/4.32 | (245) all_0_150_150 = e10 | all_0_151_151 = e10
% 15.73/4.32 | (246) all_0_129_129 = e23 | all_0_130_130 = e23 | all_0_132_132 = e23
% 15.73/4.32 | (247) op2(e23, e23) = all_0_126_126
% 15.73/4.32 | (248) h4(all_0_148_148) = all_0_20_20
% 15.73/4.32 | (249) ~ (all_0_127_127 = all_0_128_128)
% 15.73/4.32 | (250) op2(all_0_135_135, e21) = all_0_77_77
% 15.73/4.32 | (251) (all_0_140_140 = e13 & all_0_142_142 = e13 & ~ (all_0_139_139 = e13) & ~ (all_0_146_146 = e11) & ~ (all_0_150_150 = e10)) | (all_0_141_141 = e11 & all_0_146_146 = e11 & ~ (all_0_144_144 = e12) & ~ (all_0_148_148 = e11)) | (all_0_144_144 = e12 & all_0_147_147 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_151_151 = e10)) | (all_0_144_144 = e11 & all_0_147_147 = e11 & ~ (all_0_148_148 = e11)) | (all_0_145_145 = e10 & all_0_151_151 = e10)
% 15.73/4.32 | (252) ~ (all_0_151_151 = e13)
% 15.73/4.32 | (253) op1(e10, e13) = all_0_150_150
% 15.73/4.32 | (254) h4(all_0_151_151) = all_0_26_26
% 15.73/4.32 | (255) ~ (all_0_151_151 = e11)
% 15.73/4.32 | (256) all_0_133_133 = e23 | all_0_134_134 = e23 | all_0_136_136 = e23
% 15.73/4.32 | (257) h1(all_0_142_142) = all_0_87_87
% 15.73/4.32 | (258) ~ (all_0_149_149 = e13) | (all_0_139_139 = e11 & ( ~ (all_0_141_141 = e11) | ~ (all_0_146_146 = e11)) & ( ~ (all_0_141_141 = e10) | ~ (all_0_146_146 = e10))) | (all_0_139_139 = e10 & ~ (all_0_150_150 = e12)) | (all_0_143_143 = e13 & ( ~ (all_0_140_140 = e13) | ~ (all_0_142_142 = e13)) & ( ~ (all_0_140_140 = e11) | ~ (all_0_142_142 = e11)) & ( ~ (all_0_140_140 = e10) | ~ (all_0_142_142 = e10))) | (all_0_143_143 = e11 & ( ~ (all_0_144_144 = e12) | ~ (all_0_147_147 = e12)) & ( ~ (all_0_144_144 = e11) | ~ (all_0_147_147 = e11)) & ( ~ (all_0_144_144 = e10) | ~ (all_0_147_147 = e10))) | (all_0_143_143 = e10 & ( ~ (all_0_145_145 = e10) | ~ (all_0_151_151 = e10))) | (all_0_148_148 = e12 & ( ~ (all_0_144_144 = e12) | ~ (all_0_147_147 = e12)) & ( ~ (all_0_144_144 = e11) | ~ (all_0_147_147 = e11)) & ( ~ (all_0_144_144 = e10) | ~ (all_0_147_147 = e10)))
% 15.73/4.33 | (259) ~ (e22 = e21)
% 15.73/4.33 | (260) ~ (all_0_144_144 = all_0_145_145)
% 15.73/4.33 | (261) all_0_133_133 = e21 | all_0_134_134 = e21 | all_0_135_135 = e21
% 15.73/4.33 | (262) op2(e23, all_0_100_100) = all_0_23_23
% 15.73/4.33 | (263) op1(e12, e12) = all_0_143_143
% 15.73/4.33 | (264) all_0_135_135 = e22 | all_0_135_135 = e21 | all_0_135_135 = e20
% 15.73/4.33 | (265) op1(e12, all_0_151_151) = all_0_125_125
% 15.73/4.33 | (266) ~ (all_0_147_147 = all_0_149_149)
% 15.73/4.33 | (267) op1(e11, all_0_144_144) = all_0_118_118
% 15.73/4.33 | (268) ~ (all_0_142_142 = all_0_145_145)
% 15.73/4.33 | (269) op1(e10, e10) = e11
% 15.73/4.33 | (270) ~ (all_0_131_131 = e23)
% 15.73/4.33 | (271) ~ (e23 = e12)
% 15.73/4.33 | (272) h1(all_0_151_151) = all_0_96_96
% 16.20/4.33 | (273) all_0_140_140 = e13 | all_0_140_140 = e11 | all_0_140_140 = e10
% 16.20/4.33 | (274) op2(all_0_109_109, e21) = all_0_99_99
% 16.20/4.33 | (275) all_0_150_150 = e12 | all_0_151_151 = e12
% 16.20/4.33 | (276) all_0_127_127 = e21 | all_0_130_130 = e21 | all_0_134_134 = e21
% 16.20/4.33 | (277) ~ (all_0_127_127 = all_0_130_130)
% 16.20/4.33 | (278) op2(e20, e22) = all_0_138_138
% 16.20/4.33 | (279) all_0_140_140 = e13 | all_0_143_143 = e13 | all_0_147_147 = e13
% 16.20/4.33 | (280) all_0_133_133 = e22 | all_0_134_134 = e22 | all_0_135_135 = e22
% 16.20/4.33 | (281) ~ (e20 = e12)
% 16.20/4.33 | (282) ~ (e23 = e20)
% 16.20/4.33 | (283) op1(e10, e12) = all_0_151_151
% 16.20/4.33 | (284) op2(e20, all_0_136_136) = all_0_110_110
% 16.20/4.33 | (285) ~ (all_0_150_150 = e13)
% 16.20/4.33 | (286) op2(e20, e23) = all_0_137_137
% 16.20/4.33 | (287) ~ (all_0_145_145 = e12)
% 16.20/4.33 | (288) h2(e11) = all_0_135_135
% 16.20/4.33 | (289) all_0_133_133 = e23 | all_0_133_133 = e22 | all_0_133_133 = e21 | all_0_133_133 = e20
% 16.20/4.33 | (290) ~ (e23 = e21)
% 16.20/4.33 | (291) all_0_130_130 = e22 | all_0_134_134 = e22 | all_0_138_138 = e22
% 16.20/4.33 | (292) all_0_138_138 = e22 | all_0_138_138 = e20
% 16.20/4.33 | (293) ~ (e22 = e13)
% 16.20/4.33 | (294) ~ (e22 = e12)
% 16.20/4.33 | (295) op2(all_0_130_130, all_0_104_104) = all_0_43_43
% 16.20/4.33 | (296) (all_0_127_127 = e23 & all_0_129_129 = e23 & ~ (all_0_126_126 = e23) & ~ (all_0_133_133 = e21) & ~ (all_0_137_137 = e20)) | (all_0_128_128 = e21 & all_0_133_133 = e21 & ~ (all_0_131_131 = e22) & ~ (all_0_135_135 = e21)) | (all_0_131_131 = e22 & all_0_134_134 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_138_138 = e20)) | (all_0_131_131 = e21 & all_0_134_134 = e21 & ~ (all_0_135_135 = e21)) | (all_0_132_132 = e20 & all_0_138_138 = e20)
% 16.20/4.33 | (297) all_0_128_128 = e20 | all_0_131_131 = e20 | all_0_135_135 = e20
% 16.20/4.33 | (298) all_0_126_126 = e21 | all_0_127_127 = e21 | all_0_128_128 = e21
% 16.20/4.33 | (299) all_0_148_148 = e12 | all_0_148_148 = e11 | all_0_148_148 = e10
% 16.20/4.33 | (300) ~ (e13 = e12)
% 16.20/4.33 | (301) ~ (all_0_132_132 = e22)
% 16.20/4.33 | (302) op2(all_0_99_99, all_0_109_109) = all_0_63_63
% 16.20/4.33 | (303) h1(e11) = e21
% 16.20/4.33 | (304) op2(all_0_104_104, all_0_130_130) = all_0_32_32
% 16.20/4.33 | (305) ~ (all_0_140_140 = all_0_141_141)
% 16.20/4.33 | (306) all_0_140_140 = e10 | all_0_143_143 = e10 | all_0_147_147 = e10 | all_0_151_151 = e10
% 16.20/4.33 | (307) h4(all_0_141_141) = all_0_5_5
% 16.20/4.33 | (308) ~ (e11 = e10)
% 16.20/4.33 | (309) h4(all_0_140_140) = all_0_3_3
% 16.20/4.33 | (310) op2(all_0_100_100, all_0_97_97) = all_0_2_2
% 16.20/4.33 | (311) ~ (all_0_131_131 = all_0_132_132)
% 16.20/4.33 | (312) op1(e13, all_0_139_139) = all_0_113_113
% 16.20/4.33 | (313) h4(all_0_150_150) = all_0_24_24
% 16.20/4.33 | (314) all_0_139_139 = e10 | all_0_142_142 = e10 | all_0_146_146 = e10 | all_0_150_150 = e10
% 16.20/4.33 | (315) ~ (all_0_137_137 = e21)
% 16.20/4.33 | (316) all_0_134_134 = e23 | all_0_134_134 = e22 | all_0_134_134 = e21 | all_0_134_134 = e20
% 16.20/4.33 | (317) ~ (e23 = e11)
% 16.20/4.33 | (318) h4(all_0_143_143) = all_0_10_10
% 16.20/4.33 | (319) ~ (all_0_147_147 = all_0_151_151)
% 16.20/4.33 | (320) all_0_126_126 = e23 | all_0_129_129 = e23 | all_0_133_133 = e23
% 16.20/4.33 | (321) ~ (e12 = e11)
% 16.20/4.33 | (322) ~ (all_0_139_139 = all_0_150_150)
% 16.20/4.33 | (323) all_0_132_132 = e23 | all_0_132_132 = e20
% 16.20/4.33 | (324) h2(all_0_149_149) = all_0_78_78
% 16.20/4.33 | (325) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0))
% 16.20/4.33 | (326) ~ (all_0_135_135 = e23)
% 16.20/4.33 | (327) ~ (e21 = e12)
% 16.20/4.33 | (328) op1(e12, e11) = all_0_144_144
% 16.20/4.33 | (329) ~ (all_0_142_142 = all_0_150_150)
% 16.20/4.33 | (330) op2(e21, all_0_135_135) = all_0_109_109
% 16.20/4.33 | (331) ~ (all_0_129_129 = all_0_132_132)
% 16.20/4.33 | (332) op1(e12, all_0_140_140) = all_0_114_114
% 16.20/4.33 | (333) ~ (all_0_146_146 = all_0_147_147)
% 16.20/4.33 | (334) ~ (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_97_97) | ~ (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_100_100) | ( ~ (all_0_97_97 = e22) & ~ (all_0_100_100 = e22)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_100_100 = e21) & ~ (all_0_126_126 = e21)) | ( ~ (all_0_97_97 = e20) & ~ (all_0_100_100 = e20) & ~ (all_0_126_126 = e20))
% 16.20/4.33 | (335) ~ (e21 = e20)
% 16.20/4.33 | (336) h3(all_0_150_150) = all_0_52_52
% 16.20/4.33 | (337) op1(e13, e10) = e12
% 16.20/4.33 | (338) ~ (all_0_126_126 = all_0_127_127)
% 16.20/4.33 | (339) ~ (all_0_138_138 = e23)
% 16.20/4.33 | (340) all_0_142_142 = e13 | all_0_143_143 = e13 | all_0_145_145 = e13
% 16.20/4.33 | (341) op2(all_0_100_100, e23) = all_0_6_6
% 16.20/4.33 | (342) all_0_141_141 = e11 | all_0_141_141 = e10
% 16.20/4.33 | (343) ~ (all_0_136_136 = e23) | (all_0_126_126 = e21 & ( ~ (all_0_128_128 = e21) | ~ (all_0_133_133 = e21)) & ( ~ (all_0_128_128 = e20) | ~ (all_0_133_133 = e20))) | (all_0_126_126 = e20 & ~ (all_0_137_137 = e22)) | (all_0_130_130 = e23 & ( ~ (all_0_127_127 = e23) | ~ (all_0_129_129 = e23)) & ( ~ (all_0_127_127 = e21) | ~ (all_0_129_129 = e21)) & ( ~ (all_0_127_127 = e20) | ~ (all_0_129_129 = e20))) | (all_0_130_130 = e21 & ( ~ (all_0_131_131 = e22) | ~ (all_0_134_134 = e22)) & ( ~ (all_0_131_131 = e21) | ~ (all_0_134_134 = e21)) & ( ~ (all_0_131_131 = e20) | ~ (all_0_134_134 = e20))) | (all_0_130_130 = e20 & ( ~ (all_0_132_132 = e20) | ~ (all_0_138_138 = e20))) | (all_0_135_135 = e22 & ( ~ (all_0_131_131 = e22) | ~ (all_0_134_134 = e22)) & ( ~ (all_0_131_131 = e21) | ~ (all_0_134_134 = e21)) & ( ~ (all_0_131_131 = e20) | ~ (all_0_134_134 = e20)))
% 16.20/4.33 | (344) ~ (e21 = e13)
% 16.20/4.33 | (345) h2(all_0_140_140) = all_0_59_59
% 16.20/4.33 | (346) all_0_133_133 = e20 | all_0_134_134 = e20 | all_0_135_135 = e20 | all_0_136_136 = e20
% 16.20/4.33 | (347) ~ (all_0_126_126 = all_0_129_129)
% 16.20/4.33 | (348) ~ (all_0_126_126 = e22)
% 16.20/4.33 | (349) ~ (all_0_139_139 = all_0_141_141)
% 16.20/4.35 | (350) h4(all_0_146_146) = all_0_16_16
% 16.20/4.35 | (351) op1(e13, e12) = all_0_140_140
% 16.20/4.35 | (352) ~ (all_0_145_145 = e11)
% 16.20/4.35 | (353) op2(all_0_130_130, e22) = all_0_49_49
% 16.20/4.35 | (354) ~ (all_0_130_130 = all_0_131_131)
% 16.20/4.35 | (355) ~ (all_0_142_142 = all_0_143_143)
% 16.20/4.35 | (356) ~ (all_0_132_132 = all_0_136_136)
% 16.20/4.35 | (357) h4(all_0_147_147) = all_0_18_18
% 16.20/4.35 | (358) ~ (all_0_127_127 = all_0_134_134)
% 16.20/4.35 | (359) ~ (all_0_136_136 = e21)
% 16.20/4.35 | (360) op2(e22, all_0_134_134) = all_0_108_108
% 16.20/4.35 | (361) op2(all_0_126_126, all_0_100_100) = all_0_15_15
% 16.20/4.35 | (362) op2(all_0_99_99, all_0_99_99) = all_0_65_65
% 16.20/4.35 | (363) ~ (e13 = e11)
% 16.20/4.35 | (364) all_0_146_146 = e13 | all_0_147_147 = e13 | all_0_149_149 = e13
% 16.20/4.35 | (365) all_0_130_130 = e23 | all_0_130_130 = e22 | all_0_130_130 = e21 | all_0_130_130 = e20
% 16.20/4.35 | (366) all_0_146_146 = e10 | all_0_147_147 = e10 | all_0_148_148 = e10 | all_0_149_149 = e10
% 16.20/4.35 | (367) ~ (all_0_140_140 = all_0_143_143)
% 16.20/4.35 | (368) h1(e13) = e23
% 16.20/4.35 | (369) op2(all_0_99_99, all_0_135_135) = all_0_67_67
% 16.20/4.35 | (370) h3(e11) = all_0_130_130
% 16.20/4.35 | (371) h4(all_0_149_149) = all_0_22_22
% 16.20/4.35 | (372) ~ (all_0_146_146 = all_0_148_148)
% 16.20/4.35 | (373) all_0_132_132 = e20 | all_0_136_136 = e20
% 16.20/4.35 | (374) op2(e23, all_0_126_126) = all_0_100_100
% 16.20/4.35 | (375) op1(e10, all_0_145_145) = all_0_119_119
% 16.20/4.35 | (376) op2(all_0_100_100, all_0_100_100) = all_0_0_0
% 16.20/4.35 | (377) op2(e23, e20) = e22
% 16.20/4.35 | (378) ~ (all_0_134_134 = all_0_136_136)
% 16.20/4.35 | (379) h4(e12) = all_0_97_97
% 16.20/4.35 | (380) all_0_146_146 = e12 | all_0_147_147 = e12 | all_0_148_148 = e12
% 16.20/4.35 | (381) ~ (all_0_126_126 = all_0_137_137)
% 16.20/4.35 | (382) op1(e13, all_0_146_146) = all_0_120_120
% 16.20/4.35 | (383) all_0_143_143 = e12 | all_0_147_147 = e12 | all_0_151_151 = e12
% 16.20/4.35 | (384) op1(e12, e10) = all_0_145_145
% 16.20/4.35 | (385) ~ (e22 = e10)
% 16.20/4.35 | (386) all_0_139_139 = e10 | all_0_140_140 = e10 | all_0_141_141 = e10
% 16.20/4.35 | (387) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 16.20/4.35 | (388) op2(e20, all_0_132_132) = all_0_106_106
% 16.20/4.35 | (389) ~ (all_0_150_150 = all_0_151_151)
% 16.20/4.35 |
% 16.20/4.35 +-Applying beta-rule and splitting (292), into two cases.
% 16.20/4.35 |-Branch one:
% 16.20/4.35 | (390) all_0_138_138 = e20
% 16.20/4.35 |
% 16.20/4.35 | Equations (390) can reduce 234 to:
% 16.20/4.35 | (391) ~ (all_0_127_127 = e20)
% 16.20/4.35 |
% 16.20/4.35 | Equations (390) can reduce 82 to:
% 16.20/4.35 | (392) ~ (all_0_130_130 = e20)
% 16.20/4.35 |
% 16.20/4.35 | Equations (390) can reduce 138 to:
% 16.20/4.35 | (393) ~ (all_0_137_137 = e20)
% 16.20/4.35 |
% 16.20/4.35 | Equations (390) can reduce 96 to:
% 16.20/4.35 | (394) ~ (e21 = e20)
% 16.20/4.35 |
% 16.20/4.35 | Simplifying 394 yields:
% 16.20/4.35 | (335) ~ (e21 = e20)
% 16.20/4.35 |
% 16.20/4.35 +-Applying beta-rule and splitting (203), into two cases.
% 16.20/4.35 |-Branch one:
% 16.20/4.35 | (396) all_0_137_137 = e20
% 16.20/4.35 |
% 16.20/4.35 | Equations (396) can reduce 393 to:
% 16.20/4.35 | (397) $false
% 16.20/4.35 |
% 16.20/4.35 |-The branch is then unsatisfiable
% 16.20/4.35 |-Branch two:
% 16.20/4.35 | (393) ~ (all_0_137_137 = e20)
% 16.20/4.35 | (399) all_0_137_137 = e22
% 16.20/4.35 |
% 16.20/4.35 | Equations (399) can reduce 76 to:
% 16.20/4.35 | (400) ~ (all_0_129_129 = e22)
% 16.20/4.35 |
% 16.20/4.35 | Equations (399) can reduce 315 to:
% 16.20/4.35 | (259) ~ (e22 = e21)
% 16.20/4.35 |
% 16.20/4.35 +-Applying beta-rule and splitting (18), into two cases.
% 16.20/4.35 |-Branch one:
% 16.20/4.35 | (402) all_0_128_128 = e21
% 16.20/4.35 |
% 16.20/4.35 | Equations (402) can reduce 249 to:
% 16.20/4.35 | (403) ~ (all_0_127_127 = e21)
% 16.20/4.35 |
% 16.20/4.35 | Equations (402) can reduce 21 to:
% 16.20/4.35 | (404) ~ (all_0_131_131 = e21)
% 16.20/4.35 |
% 16.20/4.35 | Simplifying 404 yields:
% 16.20/4.35 | (405) ~ (all_0_131_131 = e21)
% 16.20/4.35 |
% 16.20/4.35 | Equations (402) can reduce 38 to:
% 16.20/4.35 | (406) ~ (all_0_135_135 = e21)
% 16.20/4.35 |
% 16.20/4.35 | Simplifying 406 yields:
% 16.20/4.35 | (407) ~ (all_0_135_135 = e21)
% 16.20/4.35 |
% 16.20/4.35 | Equations (402) can reduce 227 to:
% 16.20/4.35 | (408) ~ (e22 = e21)
% 16.20/4.35 |
% 16.20/4.35 | Simplifying 408 yields:
% 16.20/4.35 | (259) ~ (e22 = e21)
% 16.20/4.35 |
% 16.20/4.35 +-Applying beta-rule and splitting (193), into two cases.
% 16.20/4.35 |-Branch one:
% 16.20/4.35 | (410) all_0_127_127 = e21
% 16.20/4.35 |
% 16.20/4.35 | Equations (410) can reduce 403 to:
% 16.20/4.35 | (397) $false
% 16.20/4.35 |
% 16.20/4.35 |-The branch is then unsatisfiable
% 16.20/4.35 |-Branch two:
% 16.20/4.35 | (403) ~ (all_0_127_127 = e21)
% 16.20/4.35 | (413) all_0_127_127 = e23 | all_0_127_127 = e20
% 16.20/4.35 |
% 16.20/4.35 +-Applying beta-rule and splitting (159), into two cases.
% 16.20/4.35 |-Branch one:
% 16.20/4.35 | (414) all_0_126_126 = e20
% 16.20/4.35 |
% 16.20/4.35 | Equations (414) can reduce 338 to:
% 16.20/4.35 | (415) ~ (all_0_127_127 = e20)
% 16.20/4.35 |
% 16.20/4.35 | Simplifying 415 yields:
% 16.20/4.35 | (391) ~ (all_0_127_127 = e20)
% 16.20/4.35 |
% 16.20/4.35 | Equations (414) can reduce 347 to:
% 16.20/4.35 | (417) ~ (all_0_129_129 = e20)
% 16.20/4.35 |
% 16.20/4.35 | Simplifying 417 yields:
% 16.20/4.35 | (418) ~ (all_0_129_129 = e20)
% 16.20/4.35 |
% 16.20/4.35 +-Applying beta-rule and splitting (413), into two cases.
% 16.20/4.35 |-Branch one:
% 16.20/4.35 | (419) all_0_127_127 = e20
% 16.20/4.35 |
% 16.20/4.35 | Equations (419) can reduce 391 to:
% 16.20/4.35 | (397) $false
% 16.20/4.35 |
% 16.20/4.35 |-The branch is then unsatisfiable
% 16.20/4.35 |-Branch two:
% 16.20/4.35 | (391) ~ (all_0_127_127 = e20)
% 16.20/4.35 | (422) all_0_127_127 = e23
% 16.20/4.35 |
% 16.20/4.35 | Equations (422) can reduce 358 to:
% 16.20/4.35 | (423) ~ (all_0_134_134 = e23)
% 16.20/4.35 |
% 16.20/4.35 | Simplifying 423 yields:
% 16.20/4.35 | (424) ~ (all_0_134_134 = e23)
% 16.20/4.35 |
% 16.20/4.35 | Equations (422) can reduce 391 to:
% 16.20/4.35 | (282) ~ (e23 = e20)
% 16.20/4.35 |
% 16.20/4.35 +-Applying beta-rule and splitting (373), into two cases.
% 16.20/4.35 |-Branch one:
% 16.20/4.35 | (426) all_0_132_132 = e20
% 16.20/4.35 |
% 16.20/4.35 | Equations (426) can reduce 311 to:
% 16.20/4.35 | (427) ~ (all_0_131_131 = e20)
% 16.20/4.35 |
% 16.20/4.36 | Equations (426) can reduce 356 to:
% 16.20/4.36 | (428) ~ (all_0_136_136 = e20)
% 16.20/4.36 |
% 16.20/4.36 | Simplifying 428 yields:
% 16.20/4.36 | (429) ~ (all_0_136_136 = e20)
% 16.20/4.36 |
% 16.20/4.36 | Equations (426) can reduce 301 to:
% 16.20/4.36 | (430) ~ (e22 = e20)
% 16.20/4.36 |
% 16.20/4.36 | Simplifying 430 yields:
% 16.20/4.36 | (128) ~ (e22 = e20)
% 16.20/4.36 |
% 16.20/4.36 | Equations (426) can reduce 192 to:
% 16.20/4.36 | (394) ~ (e21 = e20)
% 16.20/4.36 |
% 16.20/4.36 | Simplifying 394 yields:
% 16.20/4.36 | (335) ~ (e21 = e20)
% 16.20/4.36 |
% 16.20/4.36 +-Applying beta-rule and splitting (55), into two cases.
% 16.20/4.36 |-Branch one:
% 16.20/4.36 | (434) all_0_136_136 = e20
% 16.20/4.36 |
% 16.20/4.36 | Equations (434) can reduce 429 to:
% 16.20/4.36 | (397) $false
% 16.20/4.36 |
% 16.20/4.36 |-The branch is then unsatisfiable
% 16.20/4.36 |-Branch two:
% 16.20/4.36 | (429) ~ (all_0_136_136 = e20)
% 16.20/4.36 | (437) all_0_136_136 = e23
% 16.20/4.36 |
% 16.20/4.36 | Equations (437) can reduce 217 to:
% 16.20/4.36 | (438) ~ (all_0_133_133 = e23)
% 16.20/4.36 |
% 16.20/4.36 | Equations (437) can reduce 359 to:
% 16.20/4.36 | (290) ~ (e23 = e21)
% 16.20/4.36 |
% 16.20/4.36 | Equations (437) can reduce 429 to:
% 16.20/4.36 | (282) ~ (e23 = e20)
% 16.20/4.36 |
% 16.20/4.36 +-Applying beta-rule and splitting (320), into two cases.
% 16.20/4.36 |-Branch one:
% 16.20/4.36 | (441) all_0_126_126 = e23
% 16.20/4.36 |
% 16.20/4.36 | Combining equations (414,441) yields a new equation:
% 16.20/4.36 | (442) e23 = e20
% 16.20/4.36 |
% 16.20/4.36 | Equations (442) can reduce 282 to:
% 16.20/4.36 | (397) $false
% 16.20/4.36 |
% 16.20/4.36 |-The branch is then unsatisfiable
% 16.20/4.36 |-Branch two:
% 16.20/4.36 | (444) ~ (all_0_126_126 = e23)
% 16.20/4.36 | (445) all_0_129_129 = e23 | all_0_133_133 = e23
% 16.20/4.36 |
% 16.20/4.36 +-Applying beta-rule and splitting (445), into two cases.
% 16.20/4.36 |-Branch one:
% 16.20/4.36 | (446) all_0_129_129 = e23
% 16.20/4.36 |
% 16.20/4.36 | Equations (446) can reduce 29 to:
% 16.20/4.36 | (447) ~ (all_0_133_133 = e23)
% 16.20/4.36 |
% 16.20/4.36 | Simplifying 447 yields:
% 16.20/4.36 | (438) ~ (all_0_133_133 = e23)
% 16.20/4.36 |
% 16.20/4.36 +-Applying beta-rule and splitting (297), into two cases.
% 16.20/4.36 |-Branch one:
% 16.20/4.36 | (449) all_0_128_128 = e20
% 16.20/4.36 |
% 16.20/4.36 | Combining equations (449,402) yields a new equation:
% 16.20/4.36 | (450) e21 = e20
% 16.20/4.36 |
% 16.20/4.36 | Equations (450) can reduce 335 to:
% 16.20/4.36 | (397) $false
% 16.20/4.36 |
% 16.20/4.36 |-The branch is then unsatisfiable
% 16.20/4.36 |-Branch two:
% 16.20/4.36 | (452) ~ (all_0_128_128 = e20)
% 16.20/4.36 | (453) all_0_131_131 = e20 | all_0_135_135 = e20
% 16.20/4.36 |
% 16.20/4.36 +-Applying beta-rule and splitting (103), into two cases.
% 16.20/4.36 |-Branch one:
% 16.20/4.36 | (454) all_0_129_129 = e21
% 16.20/4.36 |
% 16.20/4.36 | Combining equations (454,446) yields a new equation:
% 16.20/4.36 | (455) e23 = e21
% 16.20/4.36 |
% 16.20/4.36 | Equations (455) can reduce 290 to:
% 16.20/4.36 | (397) $false
% 16.20/4.36 |
% 16.20/4.36 |-The branch is then unsatisfiable
% 16.20/4.36 |-Branch two:
% 16.20/4.36 | (457) ~ (all_0_129_129 = e21)
% 16.20/4.36 | (458) all_0_130_130 = e21 | all_0_131_131 = e21
% 16.20/4.36 |
% 16.20/4.36 +-Applying beta-rule and splitting (458), into two cases.
% 16.20/4.36 |-Branch one:
% 16.20/4.36 | (459) all_0_130_130 = e21
% 16.20/4.36 |
% 16.20/4.36 | Equations (459) can reduce 132 to:
% 16.20/4.36 | (460) ~ (all_0_134_134 = e21)
% 16.20/4.36 |
% 16.20/4.36 | Simplifying 460 yields:
% 16.20/4.36 | (461) ~ (all_0_134_134 = e21)
% 16.20/4.36 |
% 16.20/4.36 +-Applying beta-rule and splitting (316), into two cases.
% 16.20/4.36 |-Branch one:
% 16.20/4.36 | (462) all_0_134_134 = e21
% 16.20/4.36 |
% 16.20/4.36 | Equations (462) can reduce 461 to:
% 16.20/4.36 | (397) $false
% 16.20/4.36 |
% 16.20/4.36 |-The branch is then unsatisfiable
% 16.20/4.36 |-Branch two:
% 16.20/4.36 | (461) ~ (all_0_134_134 = e21)
% 16.20/4.36 | (465) all_0_134_134 = e23 | all_0_134_134 = e22 | all_0_134_134 = e20
% 16.20/4.36 |
% 16.20/4.36 +-Applying beta-rule and splitting (291), into two cases.
% 16.20/4.36 |-Branch one:
% 16.20/4.36 | (466) all_0_130_130 = e22
% 16.20/4.36 |
% 16.20/4.36 | Combining equations (459,466) yields a new equation:
% 16.20/4.36 | (467) e22 = e21
% 16.20/4.36 |
% 16.20/4.36 | Equations (467) can reduce 259 to:
% 16.20/4.36 | (397) $false
% 16.20/4.36 |
% 16.20/4.36 |-The branch is then unsatisfiable
% 16.20/4.36 |-Branch two:
% 16.20/4.36 | (469) ~ (all_0_130_130 = e22)
% 16.20/4.36 | (470) all_0_134_134 = e22 | all_0_138_138 = e22
% 16.20/4.36 |
% 16.20/4.36 +-Applying beta-rule and splitting (453), into two cases.
% 16.20/4.36 |-Branch one:
% 16.20/4.36 | (471) all_0_131_131 = e20
% 16.20/4.36 |
% 16.20/4.36 | Equations (471) can reduce 427 to:
% 16.20/4.36 | (397) $false
% 16.20/4.36 |
% 16.20/4.36 |-The branch is then unsatisfiable
% 16.20/4.36 |-Branch two:
% 16.20/4.36 | (427) ~ (all_0_131_131 = e20)
% 16.20/4.36 | (474) all_0_135_135 = e20
% 16.20/4.36 |
% 16.20/4.36 | Equations (474) can reduce 59 to:
% 16.20/4.36 | (427) ~ (all_0_131_131 = e20)
% 16.20/4.36 |
% 16.20/4.36 | Equations (474) can reduce 191 to:
% 16.20/4.36 | (476) ~ (all_0_133_133 = e20)
% 16.20/4.36 |
% 16.20/4.36 | Equations (474) can reduce 101 to:
% 16.20/4.36 | (477) ~ (all_0_134_134 = e20)
% 16.20/4.36 |
% 16.20/4.36 | Equations (474) can reduce 407 to:
% 16.20/4.36 | (394) ~ (e21 = e20)
% 16.20/4.36 |
% 16.20/4.36 | Simplifying 394 yields:
% 16.20/4.36 | (335) ~ (e21 = e20)
% 16.20/4.36 |
% 16.20/4.36 +-Applying beta-rule and splitting (91), into two cases.
% 16.20/4.36 |-Branch one:
% 16.20/4.36 | (480) all_0_131_131 = e22
% 16.20/4.36 |
% 16.20/4.36 | Equations (480) can reduce 427 to:
% 16.20/4.36 | (128) ~ (e22 = e20)
% 16.20/4.36 |
% 16.20/4.36 +-Applying beta-rule and splitting (465), into two cases.
% 16.20/4.36 |-Branch one:
% 16.20/4.36 | (482) all_0_134_134 = e20
% 16.20/4.36 |
% 16.20/4.36 | Equations (482) can reduce 477 to:
% 16.20/4.36 | (397) $false
% 16.20/4.36 |
% 16.20/4.36 |-The branch is then unsatisfiable
% 16.20/4.36 |-Branch two:
% 16.20/4.36 | (477) ~ (all_0_134_134 = e20)
% 16.20/4.36 | (485) all_0_134_134 = e23 | all_0_134_134 = e22
% 16.20/4.36 |
% 16.20/4.36 +-Applying beta-rule and splitting (470), into two cases.
% 16.20/4.36 |-Branch one:
% 16.20/4.36 | (486) all_0_134_134 = e22
% 16.20/4.36 |
% 16.20/4.36 | Equations (486) can reduce 461 to:
% 16.20/4.36 | (259) ~ (e22 = e21)
% 16.20/4.36 |
% 16.20/4.36 | Equations (486) can reduce 477 to:
% 16.20/4.36 | (128) ~ (e22 = e20)
% 16.20/4.36 |
% 16.20/4.36 +-Applying beta-rule and splitting (73), into two cases.
% 16.20/4.36 |-Branch one:
% 16.20/4.36 | (489) all_0_126_126 = e21
% 16.20/4.36 |
% 16.20/4.36 | Combining equations (414,489) yields a new equation:
% 16.20/4.36 | (450) e21 = e20
% 16.20/4.36 |
% 16.20/4.36 | Equations (450) can reduce 335 to:
% 16.20/4.36 | (397) $false
% 16.20/4.36 |
% 16.20/4.36 |-The branch is then unsatisfiable
% 16.20/4.36 |-Branch two:
% 16.20/4.36 | (492) ~ (all_0_126_126 = e21)
% 16.20/4.36 | (493) all_0_129_129 = e21 | all_0_133_133 = e21
% 16.20/4.36 |
% 16.20/4.36 | Equations (414) can reduce 492 to:
% 16.20/4.36 | (394) ~ (e21 = e20)
% 16.20/4.36 |
% 16.20/4.36 | Simplifying 394 yields:
% 16.20/4.36 | (335) ~ (e21 = e20)
% 16.20/4.36 |
% 16.20/4.36 +-Applying beta-rule and splitting (261), into two cases.
% 16.20/4.36 |-Branch one:
% 16.20/4.36 | (496) all_0_133_133 = e21
% 16.20/4.36 |
% 16.20/4.36 | Equations (496) can reduce 438 to:
% 16.20/4.36 | (497) ~ (e23 = e21)
% 16.20/4.36 |
% 16.20/4.36 | Simplifying 497 yields:
% 16.20/4.36 | (290) ~ (e23 = e21)
% 16.20/4.36 |
% 16.20/4.36 | Equations (496) can reduce 476 to:
% 16.20/4.36 | (335) ~ (e21 = e20)
% 16.20/4.36 |
% 16.20/4.36 +-Applying beta-rule and splitting (343), into two cases.
% 16.20/4.36 |-Branch one:
% 16.20/4.36 | (500) ~ (all_0_136_136 = e23)
% 16.20/4.36 |
% 16.20/4.36 | Equations (437) can reduce 500 to:
% 16.20/4.36 | (397) $false
% 16.20/4.36 |
% 16.20/4.36 |-The branch is then unsatisfiable
% 16.20/4.36 |-Branch two:
% 16.20/4.36 | (437) all_0_136_136 = e23
% 16.20/4.36 | (503) (all_0_126_126 = e21 & ( ~ (all_0_128_128 = e21) | ~ (all_0_133_133 = e21)) & ( ~ (all_0_128_128 = e20) | ~ (all_0_133_133 = e20))) | (all_0_126_126 = e20 & ~ (all_0_137_137 = e22)) | (all_0_130_130 = e23 & ( ~ (all_0_127_127 = e23) | ~ (all_0_129_129 = e23)) & ( ~ (all_0_127_127 = e21) | ~ (all_0_129_129 = e21)) & ( ~ (all_0_127_127 = e20) | ~ (all_0_129_129 = e20))) | (all_0_130_130 = e21 & ( ~ (all_0_131_131 = e22) | ~ (all_0_134_134 = e22)) & ( ~ (all_0_131_131 = e21) | ~ (all_0_134_134 = e21)) & ( ~ (all_0_131_131 = e20) | ~ (all_0_134_134 = e20))) | (all_0_130_130 = e20 & ( ~ (all_0_132_132 = e20) | ~ (all_0_138_138 = e20))) | (all_0_135_135 = e22 & ( ~ (all_0_131_131 = e22) | ~ (all_0_134_134 = e22)) & ( ~ (all_0_131_131 = e21) | ~ (all_0_134_134 = e21)) & ( ~ (all_0_131_131 = e20) | ~ (all_0_134_134 = e20)))
% 16.20/4.36 |
% 16.20/4.36 +-Applying beta-rule and splitting (503), into two cases.
% 16.20/4.36 |-Branch one:
% 16.20/4.36 | (504) (all_0_126_126 = e21 & ( ~ (all_0_128_128 = e21) | ~ (all_0_133_133 = e21)) & ( ~ (all_0_128_128 = e20) | ~ (all_0_133_133 = e20))) | (all_0_126_126 = e20 & ~ (all_0_137_137 = e22)) | (all_0_130_130 = e23 & ( ~ (all_0_127_127 = e23) | ~ (all_0_129_129 = e23)) & ( ~ (all_0_127_127 = e21) | ~ (all_0_129_129 = e21)) & ( ~ (all_0_127_127 = e20) | ~ (all_0_129_129 = e20))) | (all_0_130_130 = e21 & ( ~ (all_0_131_131 = e22) | ~ (all_0_134_134 = e22)) & ( ~ (all_0_131_131 = e21) | ~ (all_0_134_134 = e21)) & ( ~ (all_0_131_131 = e20) | ~ (all_0_134_134 = e20))) | (all_0_130_130 = e20 & ( ~ (all_0_132_132 = e20) | ~ (all_0_138_138 = e20)))
% 16.20/4.37 |
% 16.20/4.37 +-Applying beta-rule and splitting (504), into two cases.
% 16.20/4.37 |-Branch one:
% 16.20/4.37 | (505) (all_0_126_126 = e21 & ( ~ (all_0_128_128 = e21) | ~ (all_0_133_133 = e21)) & ( ~ (all_0_128_128 = e20) | ~ (all_0_133_133 = e20))) | (all_0_126_126 = e20 & ~ (all_0_137_137 = e22)) | (all_0_130_130 = e23 & ( ~ (all_0_127_127 = e23) | ~ (all_0_129_129 = e23)) & ( ~ (all_0_127_127 = e21) | ~ (all_0_129_129 = e21)) & ( ~ (all_0_127_127 = e20) | ~ (all_0_129_129 = e20))) | (all_0_130_130 = e21 & ( ~ (all_0_131_131 = e22) | ~ (all_0_134_134 = e22)) & ( ~ (all_0_131_131 = e21) | ~ (all_0_134_134 = e21)) & ( ~ (all_0_131_131 = e20) | ~ (all_0_134_134 = e20)))
% 16.20/4.37 |
% 16.20/4.37 +-Applying beta-rule and splitting (505), into two cases.
% 16.20/4.37 |-Branch one:
% 16.20/4.37 | (506) (all_0_126_126 = e21 & ( ~ (all_0_128_128 = e21) | ~ (all_0_133_133 = e21)) & ( ~ (all_0_128_128 = e20) | ~ (all_0_133_133 = e20))) | (all_0_126_126 = e20 & ~ (all_0_137_137 = e22)) | (all_0_130_130 = e23 & ( ~ (all_0_127_127 = e23) | ~ (all_0_129_129 = e23)) & ( ~ (all_0_127_127 = e21) | ~ (all_0_129_129 = e21)) & ( ~ (all_0_127_127 = e20) | ~ (all_0_129_129 = e20)))
% 16.20/4.37 |
% 16.20/4.37 +-Applying beta-rule and splitting (506), into two cases.
% 16.20/4.37 |-Branch one:
% 16.20/4.37 | (507) (all_0_126_126 = e21 & ( ~ (all_0_128_128 = e21) | ~ (all_0_133_133 = e21)) & ( ~ (all_0_128_128 = e20) | ~ (all_0_133_133 = e20))) | (all_0_126_126 = e20 & ~ (all_0_137_137 = e22))
% 16.20/4.37 |
% 16.20/4.37 +-Applying beta-rule and splitting (507), into two cases.
% 16.20/4.37 |-Branch one:
% 16.20/4.37 | (508) all_0_126_126 = e21 & ( ~ (all_0_128_128 = e21) | ~ (all_0_133_133 = e21)) & ( ~ (all_0_128_128 = e20) | ~ (all_0_133_133 = e20))
% 16.20/4.37 |
% 16.20/4.37 | Applying alpha-rule on (508) yields:
% 16.20/4.37 | (489) all_0_126_126 = e21
% 16.20/4.37 | (510) ~ (all_0_128_128 = e21) | ~ (all_0_133_133 = e21)
% 16.20/4.37 | (511) ~ (all_0_128_128 = e20) | ~ (all_0_133_133 = e20)
% 16.20/4.37 |
% 16.20/4.37 | Combining equations (414,489) yields a new equation:
% 16.20/4.37 | (450) e21 = e20
% 16.20/4.37 |
% 16.20/4.37 | Equations (450) can reduce 335 to:
% 16.20/4.37 | (397) $false
% 16.20/4.37 |
% 16.20/4.37 |-The branch is then unsatisfiable
% 16.20/4.37 |-Branch two:
% 16.20/4.37 | (514) all_0_126_126 = e20 & ~ (all_0_137_137 = e22)
% 16.20/4.37 |
% 16.20/4.37 | Applying alpha-rule on (514) yields:
% 16.20/4.37 | (414) all_0_126_126 = e20
% 16.20/4.37 | (516) ~ (all_0_137_137 = e22)
% 16.20/4.37 |
% 16.20/4.37 | Equations (399) can reduce 516 to:
% 16.20/4.37 | (397) $false
% 16.20/4.37 |
% 16.20/4.37 |-The branch is then unsatisfiable
% 16.20/4.37 |-Branch two:
% 16.20/4.37 | (518) all_0_130_130 = e23 & ( ~ (all_0_127_127 = e23) | ~ (all_0_129_129 = e23)) & ( ~ (all_0_127_127 = e21) | ~ (all_0_129_129 = e21)) & ( ~ (all_0_127_127 = e20) | ~ (all_0_129_129 = e20))
% 16.20/4.37 |
% 16.20/4.37 | Applying alpha-rule on (518) yields:
% 16.20/4.37 | (519) all_0_130_130 = e23
% 16.20/4.37 | (520) ~ (all_0_127_127 = e23) | ~ (all_0_129_129 = e23)
% 16.20/4.37 | (521) ~ (all_0_127_127 = e21) | ~ (all_0_129_129 = e21)
% 16.20/4.37 | (522) ~ (all_0_127_127 = e20) | ~ (all_0_129_129 = e20)
% 16.20/4.37 |
% 16.20/4.37 | Combining equations (519,459) yields a new equation:
% 16.20/4.37 | (523) e23 = e21
% 16.20/4.37 |
% 16.20/4.37 | Simplifying 523 yields:
% 16.20/4.37 | (455) e23 = e21
% 16.20/4.37 |
% 16.20/4.37 | Equations (455) can reduce 290 to:
% 16.20/4.37 | (397) $false
% 16.20/4.37 |
% 16.20/4.37 |-The branch is then unsatisfiable
% 16.20/4.37 |-Branch two:
% 16.20/4.37 | (526) all_0_130_130 = e21 & ( ~ (all_0_131_131 = e22) | ~ (all_0_134_134 = e22)) & ( ~ (all_0_131_131 = e21) | ~ (all_0_134_134 = e21)) & ( ~ (all_0_131_131 = e20) | ~ (all_0_134_134 = e20))
% 16.20/4.37 |
% 16.20/4.37 | Applying alpha-rule on (526) yields:
% 16.20/4.37 | (459) all_0_130_130 = e21
% 16.20/4.37 | (528) ~ (all_0_131_131 = e22) | ~ (all_0_134_134 = e22)
% 16.20/4.37 | (529) ~ (all_0_131_131 = e21) | ~ (all_0_134_134 = e21)
% 16.20/4.37 | (530) ~ (all_0_131_131 = e20) | ~ (all_0_134_134 = e20)
% 16.20/4.37 |
% 16.20/4.37 +-Applying beta-rule and splitting (528), into two cases.
% 16.20/4.37 |-Branch one:
% 16.20/4.37 | (531) ~ (all_0_131_131 = e22)
% 16.20/4.37 |
% 16.20/4.37 | Equations (480) can reduce 531 to:
% 16.20/4.37 | (397) $false
% 16.20/4.37 |
% 16.20/4.37 |-The branch is then unsatisfiable
% 16.20/4.37 |-Branch two:
% 16.20/4.37 | (480) all_0_131_131 = e22
% 16.20/4.37 | (534) ~ (all_0_134_134 = e22)
% 16.20/4.37 |
% 16.20/4.37 | Equations (486) can reduce 534 to:
% 16.20/4.37 | (397) $false
% 16.20/4.37 |
% 16.20/4.37 |-The branch is then unsatisfiable
% 16.20/4.37 |-Branch two:
% 16.20/4.37 | (536) all_0_130_130 = e20 & ( ~ (all_0_132_132 = e20) | ~ (all_0_138_138 = e20))
% 16.20/4.37 |
% 16.20/4.37 | Applying alpha-rule on (536) yields:
% 16.20/4.37 | (537) all_0_130_130 = e20
% 16.20/4.37 | (538) ~ (all_0_132_132 = e20) | ~ (all_0_138_138 = e20)
% 16.20/4.37 |
% 16.20/4.37 | Combining equations (537,459) yields a new equation:
% 16.20/4.37 | (450) e21 = e20
% 16.20/4.37 |
% 16.20/4.37 | Equations (450) can reduce 335 to:
% 16.20/4.37 | (397) $false
% 16.20/4.37 |
% 16.20/4.37 |-The branch is then unsatisfiable
% 16.20/4.37 |-Branch two:
% 16.20/4.37 | (541) all_0_135_135 = e22 & ( ~ (all_0_131_131 = e22) | ~ (all_0_134_134 = e22)) & ( ~ (all_0_131_131 = e21) | ~ (all_0_134_134 = e21)) & ( ~ (all_0_131_131 = e20) | ~ (all_0_134_134 = e20))
% 16.20/4.37 |
% 16.20/4.37 | Applying alpha-rule on (541) yields:
% 16.20/4.37 | (542) all_0_135_135 = e22
% 16.20/4.37 | (528) ~ (all_0_131_131 = e22) | ~ (all_0_134_134 = e22)
% 16.20/4.37 | (529) ~ (all_0_131_131 = e21) | ~ (all_0_134_134 = e21)
% 16.20/4.37 | (530) ~ (all_0_131_131 = e20) | ~ (all_0_134_134 = e20)
% 16.20/4.37 |
% 16.20/4.37 | Combining equations (542,474) yields a new equation:
% 16.20/4.37 | (546) e22 = e20
% 16.20/4.37 |
% 16.20/4.37 | Simplifying 546 yields:
% 16.20/4.37 | (547) e22 = e20
% 16.20/4.37 |
% 16.20/4.37 | Equations (547) can reduce 128 to:
% 16.20/4.37 | (397) $false
% 16.20/4.37 |
% 16.20/4.37 |-The branch is then unsatisfiable
% 16.20/4.37 |-Branch two:
% 16.20/4.37 | (549) ~ (all_0_133_133 = e21)
% 16.20/4.37 | (550) all_0_134_134 = e21 | all_0_135_135 = e21
% 16.20/4.37 |
% 16.20/4.37 +-Applying beta-rule and splitting (550), into two cases.
% 16.20/4.37 |-Branch one:
% 16.20/4.37 | (462) all_0_134_134 = e21
% 16.20/4.37 |
% 16.20/4.37 | Combining equations (486,462) yields a new equation:
% 16.20/4.37 | (552) e22 = e21
% 16.20/4.37 |
% 16.20/4.37 | Simplifying 552 yields:
% 16.20/4.37 | (467) e22 = e21
% 16.20/4.37 |
% 16.20/4.37 | Equations (467) can reduce 259 to:
% 16.20/4.37 | (397) $false
% 16.20/4.37 |
% 16.20/4.37 |-The branch is then unsatisfiable
% 16.20/4.37 |-Branch two:
% 16.20/4.37 | (461) ~ (all_0_134_134 = e21)
% 16.20/4.37 | (556) all_0_135_135 = e21
% 16.20/4.37 |
% 16.20/4.37 | Combining equations (556,474) yields a new equation:
% 16.20/4.37 | (557) e21 = e20
% 16.20/4.37 |
% 16.20/4.37 | Simplifying 557 yields:
% 16.20/4.37 | (450) e21 = e20
% 16.20/4.37 |
% 16.20/4.37 | Equations (450) can reduce 335 to:
% 16.20/4.37 | (397) $false
% 16.20/4.37 |
% 16.20/4.37 |-The branch is then unsatisfiable
% 16.20/4.37 |-Branch two:
% 16.20/4.37 | (534) ~ (all_0_134_134 = e22)
% 16.20/4.37 | (561) all_0_138_138 = e22
% 16.20/4.37 |
% 16.20/4.37 | Combining equations (561,390) yields a new equation:
% 16.20/4.37 | (546) e22 = e20
% 16.20/4.37 |
% 16.20/4.37 | Simplifying 546 yields:
% 16.20/4.37 | (547) e22 = e20
% 16.20/4.37 |
% 16.20/4.37 | Equations (547) can reduce 128 to:
% 16.20/4.37 | (397) $false
% 16.20/4.37 |
% 16.20/4.37 |-The branch is then unsatisfiable
% 16.20/4.37 |-Branch two:
% 16.20/4.37 | (531) ~ (all_0_131_131 = e22)
% 16.20/4.37 | (542) all_0_135_135 = e22
% 16.20/4.37 |
% 16.20/4.37 | Combining equations (474,542) yields a new equation:
% 16.20/4.37 | (547) e22 = e20
% 16.20/4.37 |
% 16.20/4.37 | Equations (547) can reduce 128 to:
% 16.20/4.37 | (397) $false
% 16.20/4.37 |
% 16.20/4.37 |-The branch is then unsatisfiable
% 16.20/4.37 |-Branch two:
% 16.20/4.37 | (569) ~ (all_0_130_130 = e21)
% 16.20/4.37 | (570) all_0_131_131 = e21
% 16.20/4.37 |
% 16.20/4.37 | Equations (570) can reduce 405 to:
% 16.20/4.37 | (397) $false
% 16.20/4.37 |
% 16.20/4.37 |-The branch is then unsatisfiable
% 16.20/4.37 |-Branch two:
% 16.20/4.37 | (572) ~ (all_0_129_129 = e23)
% 16.20/4.38 | (573) all_0_133_133 = e23
% 16.20/4.38 |
% 16.20/4.38 | Equations (573) can reduce 438 to:
% 16.20/4.38 | (397) $false
% 16.20/4.38 |
% 16.20/4.38 |-The branch is then unsatisfiable
% 16.20/4.38 |-Branch two:
% 16.20/4.38 | (575) ~ (all_0_132_132 = e20)
% 16.20/4.38 | (434) all_0_136_136 = e20
% 16.20/4.38 |
% 16.20/4.38 | Equations (434) can reduce 356 to:
% 16.20/4.38 | (575) ~ (all_0_132_132 = e20)
% 16.20/4.38 |
% 16.20/4.38 | Equations (434) can reduce 378 to:
% 16.20/4.38 | (477) ~ (all_0_134_134 = e20)
% 16.20/4.38 |
% 16.20/4.38 | Equations (434) can reduce 15 to:
% 16.20/4.38 | (579) ~ (all_0_135_135 = e20)
% 16.20/4.38 |
% 16.20/4.38 | Equations (434) can reduce 359 to:
% 16.20/4.38 | (394) ~ (e21 = e20)
% 16.20/4.38 |
% 16.20/4.38 | Simplifying 394 yields:
% 16.20/4.38 | (335) ~ (e21 = e20)
% 16.20/4.38 |
% 16.20/4.38 +-Applying beta-rule and splitting (30), into two cases.
% 16.20/4.38 |-Branch one:
% 16.20/4.38 | (582) all_0_132_132 = e23
% 16.20/4.38 |
% 16.20/4.38 | Equations (582) can reduce 311 to:
% 16.20/4.38 | (270) ~ (all_0_131_131 = e23)
% 16.20/4.38 |
% 16.20/4.38 | Equations (582) can reduce 192 to:
% 16.20/4.38 | (290) ~ (e23 = e21)
% 16.20/4.38 |
% 16.20/4.38 | Equations (582) can reduce 575 to:
% 16.20/4.38 | (282) ~ (e23 = e20)
% 16.20/4.38 |
% 16.20/4.38 +-Applying beta-rule and splitting (256), into two cases.
% 16.20/4.38 |-Branch one:
% 16.20/4.38 | (573) all_0_133_133 = e23
% 16.20/4.38 |
% 16.20/4.38 | Equations (573) can reduce 13 to:
% 16.20/4.38 | (423) ~ (all_0_134_134 = e23)
% 16.20/4.38 |
% 16.20/4.38 | Simplifying 423 yields:
% 16.20/4.38 | (424) ~ (all_0_134_134 = e23)
% 16.20/4.38 |
% 16.20/4.38 +-Applying beta-rule and splitting (73), into two cases.
% 16.20/4.38 |-Branch one:
% 16.20/4.38 | (489) all_0_126_126 = e21
% 16.20/4.38 |
% 16.20/4.38 | Combining equations (414,489) yields a new equation:
% 16.20/4.38 | (450) e21 = e20
% 16.20/4.38 |
% 16.20/4.38 | Equations (450) can reduce 335 to:
% 16.20/4.38 | (397) $false
% 16.20/4.38 |
% 16.20/4.38 |-The branch is then unsatisfiable
% 16.20/4.38 |-Branch two:
% 16.20/4.38 | (492) ~ (all_0_126_126 = e21)
% 16.20/4.38 | (493) all_0_129_129 = e21 | all_0_133_133 = e21
% 16.20/4.38 |
% 16.20/4.38 +-Applying beta-rule and splitting (194), into two cases.
% 16.20/4.38 |-Branch one:
% 16.20/4.38 | (454) all_0_129_129 = e21
% 16.20/4.38 |
% 16.20/4.38 | Equations (454) can reduce 418 to:
% 16.20/4.38 | (335) ~ (e21 = e20)
% 16.20/4.38 |
% 16.20/4.38 +-Applying beta-rule and splitting (297), into two cases.
% 16.20/4.38 |-Branch one:
% 16.20/4.38 | (449) all_0_128_128 = e20
% 16.20/4.38 |
% 16.20/4.38 | Combining equations (402,449) yields a new equation:
% 16.20/4.38 | (557) e21 = e20
% 16.20/4.38 |
% 16.20/4.38 | Simplifying 557 yields:
% 16.20/4.38 | (450) e21 = e20
% 16.20/4.38 |
% 16.20/4.38 | Equations (450) can reduce 335 to:
% 16.20/4.38 | (397) $false
% 16.20/4.38 |
% 16.20/4.38 |-The branch is then unsatisfiable
% 16.20/4.38 |-Branch two:
% 16.20/4.38 | (452) ~ (all_0_128_128 = e20)
% 16.20/4.38 | (453) all_0_131_131 = e20 | all_0_135_135 = e20
% 16.20/4.38 |
% 16.20/4.38 +-Applying beta-rule and splitting (264), into two cases.
% 16.20/4.38 |-Branch one:
% 16.20/4.38 | (556) all_0_135_135 = e21
% 16.20/4.38 |
% 16.20/4.38 | Equations (556) can reduce 407 to:
% 16.20/4.38 | (397) $false
% 16.20/4.38 |
% 16.20/4.38 |-The branch is then unsatisfiable
% 16.20/4.38 |-Branch two:
% 16.20/4.38 | (407) ~ (all_0_135_135 = e21)
% 16.20/4.38 | (605) all_0_135_135 = e22 | all_0_135_135 = e20
% 16.20/4.38 |
% 16.20/4.38 +-Applying beta-rule and splitting (453), into two cases.
% 16.20/4.38 |-Branch one:
% 16.20/4.38 | (471) all_0_131_131 = e20
% 16.20/4.38 |
% 16.20/4.38 | Equations (471) can reduce 59 to:
% 16.20/4.38 | (607) ~ (all_0_135_135 = e20)
% 16.20/4.38 |
% 16.20/4.38 | Simplifying 607 yields:
% 16.20/4.38 | (579) ~ (all_0_135_135 = e20)
% 16.20/4.38 |
% 16.20/4.38 | Equations (471) can reduce 270 to:
% 16.20/4.38 | (609) ~ (e23 = e20)
% 16.20/4.38 |
% 16.20/4.38 | Simplifying 609 yields:
% 16.20/4.38 | (282) ~ (e23 = e20)
% 16.20/4.38 |
% 16.20/4.38 +-Applying beta-rule and splitting (605), into two cases.
% 16.20/4.38 |-Branch one:
% 16.20/4.38 | (474) all_0_135_135 = e20
% 16.20/4.38 |
% 16.20/4.38 | Equations (474) can reduce 579 to:
% 16.20/4.38 | (397) $false
% 16.20/4.38 |
% 16.20/4.38 |-The branch is then unsatisfiable
% 16.20/4.38 |-Branch two:
% 16.20/4.38 | (579) ~ (all_0_135_135 = e20)
% 16.20/4.38 | (542) all_0_135_135 = e22
% 16.20/4.38 |
% 16.20/4.38 | Equations (542) can reduce 101 to:
% 16.20/4.38 | (534) ~ (all_0_134_134 = e22)
% 16.20/4.38 |
% 16.20/4.38 +-Applying beta-rule and splitting (316), into two cases.
% 16.20/4.38 |-Branch one:
% 16.20/4.38 | (462) all_0_134_134 = e21
% 16.20/4.38 |
% 16.20/4.38 | Equations (462) can reduce 424 to:
% 16.20/4.38 | (497) ~ (e23 = e21)
% 16.20/4.38 |
% 16.20/4.38 | Simplifying 497 yields:
% 16.20/4.38 | (290) ~ (e23 = e21)
% 16.20/4.38 |
% 16.20/4.38 | Equations (462) can reduce 477 to:
% 16.20/4.38 | (335) ~ (e21 = e20)
% 16.20/4.38 |
% 16.20/4.38 +-Applying beta-rule and splitting (296), into two cases.
% 16.20/4.38 |-Branch one:
% 16.20/4.38 | (620) (all_0_127_127 = e23 & all_0_129_129 = e23 & ~ (all_0_126_126 = e23) & ~ (all_0_133_133 = e21) & ~ (all_0_137_137 = e20)) | (all_0_128_128 = e21 & all_0_133_133 = e21 & ~ (all_0_131_131 = e22) & ~ (all_0_135_135 = e21)) | (all_0_131_131 = e22 & all_0_134_134 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_138_138 = e20)) | (all_0_131_131 = e21 & all_0_134_134 = e21 & ~ (all_0_135_135 = e21))
% 16.20/4.38 |
% 16.20/4.38 +-Applying beta-rule and splitting (620), into two cases.
% 16.20/4.38 |-Branch one:
% 16.20/4.38 | (621) (all_0_127_127 = e23 & all_0_129_129 = e23 & ~ (all_0_126_126 = e23) & ~ (all_0_133_133 = e21) & ~ (all_0_137_137 = e20)) | (all_0_128_128 = e21 & all_0_133_133 = e21 & ~ (all_0_131_131 = e22) & ~ (all_0_135_135 = e21)) | (all_0_131_131 = e22 & all_0_134_134 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_138_138 = e20))
% 16.20/4.38 |
% 16.20/4.38 +-Applying beta-rule and splitting (621), into two cases.
% 16.20/4.38 |-Branch one:
% 16.20/4.38 | (622) (all_0_127_127 = e23 & all_0_129_129 = e23 & ~ (all_0_126_126 = e23) & ~ (all_0_133_133 = e21) & ~ (all_0_137_137 = e20)) | (all_0_128_128 = e21 & all_0_133_133 = e21 & ~ (all_0_131_131 = e22) & ~ (all_0_135_135 = e21))
% 16.20/4.38 |
% 16.20/4.38 +-Applying beta-rule and splitting (622), into two cases.
% 16.20/4.38 |-Branch one:
% 16.20/4.38 | (623) all_0_127_127 = e23 & all_0_129_129 = e23 & ~ (all_0_126_126 = e23) & ~ (all_0_133_133 = e21) & ~ (all_0_137_137 = e20)
% 16.20/4.38 |
% 16.20/4.38 | Applying alpha-rule on (623) yields:
% 16.20/4.38 | (444) ~ (all_0_126_126 = e23)
% 16.20/4.38 | (446) all_0_129_129 = e23
% 16.20/4.38 | (393) ~ (all_0_137_137 = e20)
% 16.20/4.38 | (549) ~ (all_0_133_133 = e21)
% 16.20/4.38 | (422) all_0_127_127 = e23
% 16.20/4.38 |
% 16.20/4.38 | Combining equations (454,446) yields a new equation:
% 16.20/4.38 | (455) e23 = e21
% 16.20/4.38 |
% 16.20/4.38 | Equations (455) can reduce 290 to:
% 16.20/4.38 | (397) $false
% 16.20/4.38 |
% 16.20/4.38 |-The branch is then unsatisfiable
% 16.20/4.38 |-Branch two:
% 16.20/4.38 | (631) all_0_128_128 = e21 & all_0_133_133 = e21 & ~ (all_0_131_131 = e22) & ~ (all_0_135_135 = e21)
% 16.20/4.38 |
% 16.20/4.38 | Applying alpha-rule on (631) yields:
% 16.20/4.38 | (402) all_0_128_128 = e21
% 16.20/4.38 | (496) all_0_133_133 = e21
% 16.20/4.38 | (531) ~ (all_0_131_131 = e22)
% 16.20/4.38 | (407) ~ (all_0_135_135 = e21)
% 16.20/4.38 |
% 16.20/4.38 | Combining equations (573,496) yields a new equation:
% 16.20/4.38 | (523) e23 = e21
% 16.20/4.38 |
% 16.20/4.38 | Simplifying 523 yields:
% 16.20/4.38 | (455) e23 = e21
% 16.20/4.38 |
% 16.20/4.38 | Equations (455) can reduce 290 to:
% 16.20/4.38 | (397) $false
% 16.20/4.38 |
% 16.20/4.38 |-The branch is then unsatisfiable
% 16.20/4.38 |-Branch two:
% 16.20/4.38 | (639) all_0_131_131 = e22 & all_0_134_134 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_138_138 = e20)
% 16.20/4.38 |
% 16.20/4.38 | Applying alpha-rule on (639) yields:
% 16.20/4.38 | (469) ~ (all_0_130_130 = e22)
% 16.20/4.38 | (480) all_0_131_131 = e22
% 16.20/4.38 | (642) ~ (all_0_138_138 = e20)
% 16.20/4.38 | (643) ~ (all_0_127_127 = e23)
% 16.20/4.38 | (486) all_0_134_134 = e22
% 16.20/4.38 |
% 16.20/4.38 | Combining equations (480,471) yields a new equation:
% 16.20/4.38 | (546) e22 = e20
% 16.20/4.38 |
% 16.20/4.38 | Simplifying 546 yields:
% 16.20/4.38 | (547) e22 = e20
% 16.20/4.38 |
% 16.20/4.38 | Combining equations (462,486) yields a new equation:
% 16.20/4.38 | (467) e22 = e21
% 16.20/4.38 |
% 16.20/4.38 | Combining equations (467,547) yields a new equation:
% 16.20/4.38 | (557) e21 = e20
% 16.20/4.38 |
% 16.20/4.38 | Simplifying 557 yields:
% 16.20/4.38 | (450) e21 = e20
% 16.20/4.38 |
% 16.20/4.38 | Equations (450) can reduce 335 to:
% 16.20/4.38 | (397) $false
% 16.20/4.38 |
% 16.20/4.38 |-The branch is then unsatisfiable
% 16.20/4.38 |-Branch two:
% 16.20/4.38 | (651) all_0_131_131 = e21 & all_0_134_134 = e21 & ~ (all_0_135_135 = e21)
% 16.20/4.38 |
% 16.20/4.38 | Applying alpha-rule on (651) yields:
% 16.20/4.38 | (570) all_0_131_131 = e21
% 16.20/4.38 | (462) all_0_134_134 = e21
% 16.20/4.38 | (407) ~ (all_0_135_135 = e21)
% 16.20/4.38 |
% 16.20/4.38 | Combining equations (570,471) yields a new equation:
% 16.20/4.38 | (557) e21 = e20
% 16.20/4.38 |
% 16.20/4.39 | Simplifying 557 yields:
% 16.20/4.39 | (450) e21 = e20
% 16.20/4.39 |
% 16.20/4.39 | Equations (450) can reduce 335 to:
% 16.20/4.39 | (397) $false
% 16.20/4.39 |
% 16.20/4.39 |-The branch is then unsatisfiable
% 16.20/4.39 |-Branch two:
% 16.20/4.39 | (658) all_0_132_132 = e20 & all_0_138_138 = e20
% 16.20/4.39 |
% 16.20/4.39 | Applying alpha-rule on (658) yields:
% 16.20/4.39 | (426) all_0_132_132 = e20
% 16.20/4.39 | (390) all_0_138_138 = e20
% 16.20/4.39 |
% 16.20/4.39 | Combining equations (426,582) yields a new equation:
% 16.20/4.39 | (442) e23 = e20
% 16.20/4.39 |
% 16.20/4.39 | Equations (442) can reduce 282 to:
% 16.20/4.39 | (397) $false
% 16.20/4.39 |
% 16.20/4.39 |-The branch is then unsatisfiable
% 16.20/4.39 |-Branch two:
% 16.20/4.39 | (461) ~ (all_0_134_134 = e21)
% 16.20/4.39 | (465) all_0_134_134 = e23 | all_0_134_134 = e22 | all_0_134_134 = e20
% 16.20/4.39 |
% 16.20/4.39 +-Applying beta-rule and splitting (465), into two cases.
% 16.20/4.39 |-Branch one:
% 16.20/4.39 | (482) all_0_134_134 = e20
% 16.20/4.39 |
% 16.20/4.39 | Equations (482) can reduce 477 to:
% 16.20/4.39 | (397) $false
% 16.20/4.39 |
% 16.20/4.39 |-The branch is then unsatisfiable
% 16.20/4.39 |-Branch two:
% 16.20/4.39 | (477) ~ (all_0_134_134 = e20)
% 16.20/4.39 | (485) all_0_134_134 = e23 | all_0_134_134 = e22
% 16.20/4.39 |
% 16.20/4.39 +-Applying beta-rule and splitting (485), into two cases.
% 16.20/4.39 |-Branch one:
% 16.20/4.39 | (486) all_0_134_134 = e22
% 16.20/4.39 |
% 16.20/4.39 | Equations (486) can reduce 534 to:
% 16.20/4.39 | (397) $false
% 16.20/4.39 |
% 16.20/4.39 |-The branch is then unsatisfiable
% 16.20/4.39 |-Branch two:
% 16.20/4.39 | (534) ~ (all_0_134_134 = e22)
% 16.20/4.39 | (672) all_0_134_134 = e23
% 16.20/4.39 |
% 16.20/4.39 | Equations (672) can reduce 424 to:
% 16.20/4.39 | (397) $false
% 16.20/4.39 |
% 16.20/4.39 |-The branch is then unsatisfiable
% 16.20/4.39 |-Branch two:
% 16.20/4.39 | (427) ~ (all_0_131_131 = e20)
% 16.20/4.39 | (474) all_0_135_135 = e20
% 16.20/4.39 |
% 16.20/4.39 | Equations (474) can reduce 579 to:
% 16.20/4.39 | (397) $false
% 16.20/4.39 |
% 16.20/4.39 |-The branch is then unsatisfiable
% 16.20/4.39 |-Branch two:
% 16.20/4.39 | (457) ~ (all_0_129_129 = e21)
% 16.20/4.39 | (678) all_0_129_129 = e23 | all_0_129_129 = e22 | all_0_129_129 = e20
% 16.20/4.39 |
% 16.20/4.39 +-Applying beta-rule and splitting (493), into two cases.
% 16.20/4.39 |-Branch one:
% 16.20/4.39 | (454) all_0_129_129 = e21
% 16.20/4.39 |
% 16.20/4.39 | Equations (454) can reduce 457 to:
% 16.20/4.39 | (397) $false
% 16.20/4.39 |
% 16.20/4.39 |-The branch is then unsatisfiable
% 16.20/4.39 |-Branch two:
% 16.20/4.39 | (457) ~ (all_0_129_129 = e21)
% 16.20/4.39 | (496) all_0_133_133 = e21
% 16.20/4.39 |
% 16.20/4.39 | Combining equations (496,573) yields a new equation:
% 16.20/4.39 | (455) e23 = e21
% 16.20/4.39 |
% 16.20/4.39 | Equations (455) can reduce 290 to:
% 16.20/4.39 | (397) $false
% 16.20/4.39 |
% 16.20/4.39 |-The branch is then unsatisfiable
% 16.20/4.39 |-Branch two:
% 16.20/4.39 | (438) ~ (all_0_133_133 = e23)
% 16.20/4.39 | (686) all_0_134_134 = e23 | all_0_136_136 = e23
% 16.20/4.39 |
% 16.20/4.39 +-Applying beta-rule and splitting (686), into two cases.
% 16.20/4.39 |-Branch one:
% 16.20/4.39 | (672) all_0_134_134 = e23
% 16.20/4.39 |
% 16.20/4.39 | Equations (672) can reduce 424 to:
% 16.20/4.39 | (397) $false
% 16.20/4.39 |
% 16.20/4.39 |-The branch is then unsatisfiable
% 16.20/4.39 |-Branch two:
% 16.20/4.39 | (424) ~ (all_0_134_134 = e23)
% 16.20/4.39 | (437) all_0_136_136 = e23
% 16.20/4.39 |
% 16.20/4.39 | Combining equations (434,437) yields a new equation:
% 16.20/4.39 | (442) e23 = e20
% 16.20/4.39 |
% 16.20/4.39 | Equations (442) can reduce 282 to:
% 16.20/4.39 | (397) $false
% 16.20/4.39 |
% 16.20/4.39 |-The branch is then unsatisfiable
% 16.20/4.39 |-Branch two:
% 16.20/4.39 | (693) ~ (all_0_132_132 = e23)
% 16.20/4.39 | (437) all_0_136_136 = e23
% 16.20/4.39 |
% 16.20/4.39 | Combining equations (434,437) yields a new equation:
% 16.20/4.39 | (442) e23 = e20
% 16.20/4.39 |
% 16.20/4.39 | Equations (442) can reduce 282 to:
% 16.20/4.39 | (397) $false
% 16.20/4.39 |
% 16.20/4.39 |-The branch is then unsatisfiable
% 16.20/4.39 |-Branch two:
% 16.20/4.39 | (697) ~ (all_0_126_126 = e20)
% 16.20/4.39 | (698) all_0_127_127 = e20 | all_0_128_128 = e20
% 16.20/4.39 |
% 16.20/4.39 +-Applying beta-rule and splitting (698), into two cases.
% 16.20/4.39 |-Branch one:
% 16.20/4.39 | (419) all_0_127_127 = e20
% 16.20/4.39 |
% 16.20/4.39 | Equations (419) can reduce 391 to:
% 16.20/4.39 | (397) $false
% 16.20/4.39 |
% 16.20/4.39 |-The branch is then unsatisfiable
% 16.20/4.39 |-Branch two:
% 16.20/4.39 | (391) ~ (all_0_127_127 = e20)
% 16.20/4.39 | (449) all_0_128_128 = e20
% 16.20/4.39 |
% 16.20/4.39 | Combining equations (449,402) yields a new equation:
% 16.20/4.39 | (450) e21 = e20
% 16.20/4.39 |
% 16.20/4.39 | Equations (450) can reduce 335 to:
% 16.20/4.39 | (397) $false
% 16.20/4.39 |
% 16.20/4.39 |-The branch is then unsatisfiable
% 16.20/4.39 |-Branch two:
% 16.20/4.39 | (705) ~ (all_0_128_128 = e21)
% 16.20/4.39 | (449) all_0_128_128 = e20
% 16.20/4.39 |
% 16.20/4.39 | Equations (449) can reduce 222 to:
% 16.20/4.39 | (697) ~ (all_0_126_126 = e20)
% 16.20/4.39 |
% 16.20/4.39 | Equations (449) can reduce 249 to:
% 16.20/4.39 | (391) ~ (all_0_127_127 = e20)
% 16.20/4.39 |
% 16.20/4.39 +-Applying beta-rule and splitting (323), into two cases.
% 16.20/4.39 |-Branch one:
% 16.20/4.39 | (426) all_0_132_132 = e20
% 16.20/4.39 |
% 16.48/4.39 | Equations (426) can reduce 331 to:
% 16.48/4.39 | (418) ~ (all_0_129_129 = e20)
% 16.48/4.39 |
% 16.48/4.39 | Equations (426) can reduce 97 to:
% 16.48/4.39 | (392) ~ (all_0_130_130 = e20)
% 16.48/4.39 |
% 16.48/4.39 | Equations (426) can reduce 311 to:
% 16.48/4.39 | (427) ~ (all_0_131_131 = e20)
% 16.48/4.39 |
% 16.48/4.39 | Equations (426) can reduce 301 to:
% 16.48/4.39 | (430) ~ (e22 = e20)
% 16.48/4.39 |
% 16.48/4.39 | Simplifying 430 yields:
% 16.48/4.39 | (128) ~ (e22 = e20)
% 16.48/4.39 |
% 16.48/4.39 | Equations (426) can reduce 192 to:
% 16.48/4.39 | (394) ~ (e21 = e20)
% 16.48/4.39 |
% 16.48/4.39 | Simplifying 394 yields:
% 16.48/4.39 | (335) ~ (e21 = e20)
% 16.48/4.39 |
% 16.48/4.39 +-Applying beta-rule and splitting (346), into two cases.
% 16.48/4.39 |-Branch one:
% 16.48/4.39 | (717) all_0_133_133 = e20
% 16.48/4.39 |
% 16.48/4.39 | Equations (717) can reduce 9 to:
% 16.48/4.39 | (697) ~ (all_0_126_126 = e20)
% 16.48/4.39 |
% 16.48/4.39 | Equations (717) can reduce 29 to:
% 16.48/4.39 | (418) ~ (all_0_129_129 = e20)
% 16.48/4.39 |
% 16.48/4.39 | Equations (717) can reduce 13 to:
% 16.48/4.39 | (720) ~ (all_0_134_134 = e20)
% 16.48/4.39 |
% 16.48/4.39 | Simplifying 720 yields:
% 16.48/4.39 | (477) ~ (all_0_134_134 = e20)
% 16.48/4.39 |
% 16.48/4.39 | Equations (717) can reduce 191 to:
% 16.48/4.39 | (607) ~ (all_0_135_135 = e20)
% 16.48/4.39 |
% 16.48/4.39 | Simplifying 607 yields:
% 16.48/4.39 | (579) ~ (all_0_135_135 = e20)
% 16.48/4.39 |
% 16.48/4.39 | Equations (717) can reduce 217 to:
% 16.48/4.39 | (428) ~ (all_0_136_136 = e20)
% 16.48/4.39 |
% 16.48/4.39 | Simplifying 428 yields:
% 16.48/4.39 | (429) ~ (all_0_136_136 = e20)
% 16.48/4.39 |
% 16.48/4.39 +-Applying beta-rule and splitting (55), into two cases.
% 16.48/4.39 |-Branch one:
% 16.48/4.39 | (434) all_0_136_136 = e20
% 16.48/4.39 |
% 16.48/4.39 | Equations (434) can reduce 429 to:
% 16.48/4.39 | (397) $false
% 16.48/4.39 |
% 16.48/4.39 |-The branch is then unsatisfiable
% 16.48/4.39 |-Branch two:
% 16.48/4.39 | (429) ~ (all_0_136_136 = e20)
% 16.48/4.39 | (437) all_0_136_136 = e23
% 16.48/4.39 |
% 16.48/4.39 | Equations (437) can reduce 378 to:
% 16.48/4.39 | (424) ~ (all_0_134_134 = e23)
% 16.48/4.39 |
% 16.48/4.39 | Equations (437) can reduce 15 to:
% 16.48/4.39 | (326) ~ (all_0_135_135 = e23)
% 16.48/4.39 |
% 16.48/4.39 | Equations (437) can reduce 359 to:
% 16.48/4.39 | (290) ~ (e23 = e21)
% 16.48/4.39 |
% 16.48/4.39 | Equations (437) can reduce 429 to:
% 16.48/4.39 | (282) ~ (e23 = e20)
% 16.48/4.39 |
% 16.48/4.39 +-Applying beta-rule and splitting (91), into two cases.
% 16.48/4.39 |-Branch one:
% 16.48/4.39 | (480) all_0_131_131 = e22
% 16.48/4.39 |
% 16.48/4.39 | Equations (480) can reduce 46 to:
% 16.48/4.39 | (400) ~ (all_0_129_129 = e22)
% 16.48/4.39 |
% 16.48/4.39 | Equations (480) can reduce 59 to:
% 16.48/4.39 | (736) ~ (all_0_135_135 = e22)
% 16.48/4.39 |
% 16.48/4.39 | Simplifying 736 yields:
% 16.48/4.39 | (737) ~ (all_0_135_135 = e22)
% 16.48/4.39 |
% 16.48/4.39 | Equations (480) can reduce 427 to:
% 16.48/4.39 | (128) ~ (e22 = e20)
% 16.48/4.39 |
% 16.48/4.39 +-Applying beta-rule and splitting (280), into two cases.
% 16.48/4.39 |-Branch one:
% 16.48/4.39 | (739) all_0_133_133 = e22
% 16.48/4.39 |
% 16.48/4.39 | Combining equations (717,739) yields a new equation:
% 16.48/4.39 | (547) e22 = e20
% 16.48/4.39 |
% 16.48/4.39 | Equations (547) can reduce 128 to:
% 16.48/4.39 | (397) $false
% 16.48/4.39 |
% 16.48/4.39 |-The branch is then unsatisfiable
% 16.48/4.39 |-Branch two:
% 16.48/4.39 | (742) ~ (all_0_133_133 = e22)
% 16.48/4.39 | (743) all_0_134_134 = e22 | all_0_135_135 = e22
% 16.48/4.39 |
% 16.48/4.39 +-Applying beta-rule and splitting (743), into two cases.
% 16.48/4.39 |-Branch one:
% 16.48/4.39 | (486) all_0_134_134 = e22
% 16.48/4.39 |
% 16.48/4.39 | Equations (486) can reduce 101 to:
% 16.48/4.39 | (736) ~ (all_0_135_135 = e22)
% 16.48/4.39 |
% 16.48/4.39 | Simplifying 736 yields:
% 16.48/4.39 | (737) ~ (all_0_135_135 = e22)
% 16.48/4.39 |
% 16.48/4.39 +-Applying beta-rule and splitting (264), into two cases.
% 16.48/4.39 |-Branch one:
% 16.48/4.39 | (556) all_0_135_135 = e21
% 16.48/4.39 |
% 16.48/4.39 | Equations (556) can reduce 737 to:
% 16.48/4.39 | (408) ~ (e22 = e21)
% 16.48/4.39 |
% 16.48/4.39 | Simplifying 408 yields:
% 16.48/4.39 | (259) ~ (e22 = e21)
% 16.48/4.39 |
% 16.48/4.39 +-Applying beta-rule and splitting (343), into two cases.
% 16.48/4.39 |-Branch one:
% 16.48/4.39 | (500) ~ (all_0_136_136 = e23)
% 16.48/4.39 |
% 16.48/4.39 | Equations (437) can reduce 500 to:
% 16.48/4.39 | (397) $false
% 16.48/4.39 |
% 16.48/4.39 |-The branch is then unsatisfiable
% 16.48/4.39 |-Branch two:
% 16.48/4.39 | (437) all_0_136_136 = e23
% 16.48/4.39 | (503) (all_0_126_126 = e21 & ( ~ (all_0_128_128 = e21) | ~ (all_0_133_133 = e21)) & ( ~ (all_0_128_128 = e20) | ~ (all_0_133_133 = e20))) | (all_0_126_126 = e20 & ~ (all_0_137_137 = e22)) | (all_0_130_130 = e23 & ( ~ (all_0_127_127 = e23) | ~ (all_0_129_129 = e23)) & ( ~ (all_0_127_127 = e21) | ~ (all_0_129_129 = e21)) & ( ~ (all_0_127_127 = e20) | ~ (all_0_129_129 = e20))) | (all_0_130_130 = e21 & ( ~ (all_0_131_131 = e22) | ~ (all_0_134_134 = e22)) & ( ~ (all_0_131_131 = e21) | ~ (all_0_134_134 = e21)) & ( ~ (all_0_131_131 = e20) | ~ (all_0_134_134 = e20))) | (all_0_130_130 = e20 & ( ~ (all_0_132_132 = e20) | ~ (all_0_138_138 = e20))) | (all_0_135_135 = e22 & ( ~ (all_0_131_131 = e22) | ~ (all_0_134_134 = e22)) & ( ~ (all_0_131_131 = e21) | ~ (all_0_134_134 = e21)) & ( ~ (all_0_131_131 = e20) | ~ (all_0_134_134 = e20)))
% 16.48/4.39 |
% 16.48/4.39 +-Applying beta-rule and splitting (503), into two cases.
% 16.48/4.39 |-Branch one:
% 16.48/4.39 | (504) (all_0_126_126 = e21 & ( ~ (all_0_128_128 = e21) | ~ (all_0_133_133 = e21)) & ( ~ (all_0_128_128 = e20) | ~ (all_0_133_133 = e20))) | (all_0_126_126 = e20 & ~ (all_0_137_137 = e22)) | (all_0_130_130 = e23 & ( ~ (all_0_127_127 = e23) | ~ (all_0_129_129 = e23)) & ( ~ (all_0_127_127 = e21) | ~ (all_0_129_129 = e21)) & ( ~ (all_0_127_127 = e20) | ~ (all_0_129_129 = e20))) | (all_0_130_130 = e21 & ( ~ (all_0_131_131 = e22) | ~ (all_0_134_134 = e22)) & ( ~ (all_0_131_131 = e21) | ~ (all_0_134_134 = e21)) & ( ~ (all_0_131_131 = e20) | ~ (all_0_134_134 = e20))) | (all_0_130_130 = e20 & ( ~ (all_0_132_132 = e20) | ~ (all_0_138_138 = e20)))
% 16.48/4.40 |
% 16.48/4.40 +-Applying beta-rule and splitting (504), into two cases.
% 16.48/4.40 |-Branch one:
% 16.48/4.40 | (505) (all_0_126_126 = e21 & ( ~ (all_0_128_128 = e21) | ~ (all_0_133_133 = e21)) & ( ~ (all_0_128_128 = e20) | ~ (all_0_133_133 = e20))) | (all_0_126_126 = e20 & ~ (all_0_137_137 = e22)) | (all_0_130_130 = e23 & ( ~ (all_0_127_127 = e23) | ~ (all_0_129_129 = e23)) & ( ~ (all_0_127_127 = e21) | ~ (all_0_129_129 = e21)) & ( ~ (all_0_127_127 = e20) | ~ (all_0_129_129 = e20))) | (all_0_130_130 = e21 & ( ~ (all_0_131_131 = e22) | ~ (all_0_134_134 = e22)) & ( ~ (all_0_131_131 = e21) | ~ (all_0_134_134 = e21)) & ( ~ (all_0_131_131 = e20) | ~ (all_0_134_134 = e20)))
% 16.48/4.40 |
% 16.48/4.40 +-Applying beta-rule and splitting (505), into two cases.
% 16.48/4.40 |-Branch one:
% 16.48/4.40 | (506) (all_0_126_126 = e21 & ( ~ (all_0_128_128 = e21) | ~ (all_0_133_133 = e21)) & ( ~ (all_0_128_128 = e20) | ~ (all_0_133_133 = e20))) | (all_0_126_126 = e20 & ~ (all_0_137_137 = e22)) | (all_0_130_130 = e23 & ( ~ (all_0_127_127 = e23) | ~ (all_0_129_129 = e23)) & ( ~ (all_0_127_127 = e21) | ~ (all_0_129_129 = e21)) & ( ~ (all_0_127_127 = e20) | ~ (all_0_129_129 = e20)))
% 16.48/4.40 |
% 16.48/4.40 +-Applying beta-rule and splitting (506), into two cases.
% 16.48/4.40 |-Branch one:
% 16.48/4.40 | (507) (all_0_126_126 = e21 & ( ~ (all_0_128_128 = e21) | ~ (all_0_133_133 = e21)) & ( ~ (all_0_128_128 = e20) | ~ (all_0_133_133 = e20))) | (all_0_126_126 = e20 & ~ (all_0_137_137 = e22))
% 16.48/4.40 |
% 16.48/4.40 +-Applying beta-rule and splitting (507), into two cases.
% 16.48/4.40 |-Branch one:
% 16.48/4.40 | (508) all_0_126_126 = e21 & ( ~ (all_0_128_128 = e21) | ~ (all_0_133_133 = e21)) & ( ~ (all_0_128_128 = e20) | ~ (all_0_133_133 = e20))
% 16.48/4.40 |
% 16.48/4.40 | Applying alpha-rule on (508) yields:
% 16.48/4.40 | (489) all_0_126_126 = e21
% 16.48/4.40 | (510) ~ (all_0_128_128 = e21) | ~ (all_0_133_133 = e21)
% 16.48/4.40 | (511) ~ (all_0_128_128 = e20) | ~ (all_0_133_133 = e20)
% 16.48/4.40 |
% 16.48/4.40 +-Applying beta-rule and splitting (511), into two cases.
% 16.48/4.40 |-Branch one:
% 16.48/4.40 | (452) ~ (all_0_128_128 = e20)
% 16.48/4.40 |
% 16.48/4.40 | Equations (449) can reduce 452 to:
% 16.48/4.40 | (397) $false
% 16.48/4.40 |
% 16.48/4.40 |-The branch is then unsatisfiable
% 16.48/4.40 |-Branch two:
% 16.48/4.40 | (449) all_0_128_128 = e20
% 16.48/4.40 | (476) ~ (all_0_133_133 = e20)
% 16.48/4.40 |
% 16.48/4.40 | Equations (717) can reduce 476 to:
% 16.48/4.40 | (397) $false
% 16.48/4.40 |
% 16.48/4.40 |-The branch is then unsatisfiable
% 16.48/4.40 |-Branch two:
% 16.48/4.40 | (514) all_0_126_126 = e20 & ~ (all_0_137_137 = e22)
% 16.48/4.40 |
% 16.48/4.40 | Applying alpha-rule on (514) yields:
% 16.48/4.40 | (414) all_0_126_126 = e20
% 16.48/4.40 | (516) ~ (all_0_137_137 = e22)
% 16.48/4.40 |
% 16.48/4.40 | Equations (399) can reduce 516 to:
% 16.48/4.40 | (397) $false
% 16.48/4.40 |
% 16.48/4.40 |-The branch is then unsatisfiable
% 16.48/4.40 |-Branch two:
% 16.48/4.40 | (518) all_0_130_130 = e23 & ( ~ (all_0_127_127 = e23) | ~ (all_0_129_129 = e23)) & ( ~ (all_0_127_127 = e21) | ~ (all_0_129_129 = e21)) & ( ~ (all_0_127_127 = e20) | ~ (all_0_129_129 = e20))
% 16.48/4.40 |
% 16.48/4.40 | Applying alpha-rule on (518) yields:
% 16.48/4.40 | (519) all_0_130_130 = e23
% 16.48/4.40 | (520) ~ (all_0_127_127 = e23) | ~ (all_0_129_129 = e23)
% 16.48/4.40 | (521) ~ (all_0_127_127 = e21) | ~ (all_0_129_129 = e21)
% 16.48/4.40 | (522) ~ (all_0_127_127 = e20) | ~ (all_0_129_129 = e20)
% 16.48/4.40 |
% 16.48/4.40 | Equations (519) can reduce 277 to:
% 16.48/4.40 | (643) ~ (all_0_127_127 = e23)
% 16.48/4.40 |
% 16.48/4.40 | Equations (519) can reduce 44 to:
% 16.48/4.40 | (572) ~ (all_0_129_129 = e23)
% 16.48/4.40 |
% 16.48/4.40 +-Applying beta-rule and splitting (194), into two cases.
% 16.48/4.40 |-Branch one:
% 16.48/4.40 | (454) all_0_129_129 = e21
% 16.48/4.40 |
% 16.48/4.40 +-Applying beta-rule and splitting (240), into two cases.
% 16.48/4.40 |-Branch one:
% 16.48/4.40 | (441) all_0_126_126 = e23
% 16.48/4.40 |
% 16.48/4.40 | Equations (441) can reduce 338 to:
% 16.48/4.40 | (780) ~ (all_0_127_127 = e23)
% 16.48/4.40 |
% 16.48/4.40 | Simplifying 780 yields:
% 16.48/4.40 | (643) ~ (all_0_127_127 = e23)
% 16.48/4.40 |
% 16.48/4.40 +-Applying beta-rule and splitting (193), into two cases.
% 16.48/4.40 |-Branch one:
% 16.48/4.40 | (410) all_0_127_127 = e21
% 16.48/4.40 |
% 16.48/4.40 +-Applying beta-rule and splitting (521), into two cases.
% 16.48/4.40 |-Branch one:
% 16.48/4.40 | (403) ~ (all_0_127_127 = e21)
% 16.48/4.40 |
% 16.48/4.40 | Equations (410) can reduce 403 to:
% 16.48/4.40 | (397) $false
% 16.48/4.40 |
% 16.48/4.40 |-The branch is then unsatisfiable
% 16.48/4.40 |-Branch two:
% 16.48/4.40 | (410) all_0_127_127 = e21
% 16.48/4.40 | (457) ~ (all_0_129_129 = e21)
% 16.48/4.40 |
% 16.48/4.40 | Equations (454) can reduce 457 to:
% 16.48/4.40 | (397) $false
% 16.48/4.40 |
% 16.48/4.40 |-The branch is then unsatisfiable
% 16.48/4.40 |-Branch two:
% 16.48/4.40 | (403) ~ (all_0_127_127 = e21)
% 16.48/4.40 | (413) all_0_127_127 = e23 | all_0_127_127 = e20
% 16.48/4.40 |
% 16.48/4.40 +-Applying beta-rule and splitting (413), into two cases.
% 16.48/4.40 |-Branch one:
% 16.48/4.40 | (419) all_0_127_127 = e20
% 16.48/4.40 |
% 16.48/4.40 | Equations (419) can reduce 391 to:
% 16.48/4.40 | (397) $false
% 16.48/4.40 |
% 16.48/4.40 |-The branch is then unsatisfiable
% 16.48/4.40 |-Branch two:
% 16.48/4.40 | (391) ~ (all_0_127_127 = e20)
% 16.48/4.40 | (422) all_0_127_127 = e23
% 16.48/4.40 |
% 16.48/4.40 | Equations (422) can reduce 643 to:
% 16.48/4.40 | (397) $false
% 16.48/4.40 |
% 16.48/4.40 |-The branch is then unsatisfiable
% 16.48/4.40 |-Branch two:
% 16.48/4.40 | (444) ~ (all_0_126_126 = e23)
% 16.48/4.40 | (422) all_0_127_127 = e23
% 16.48/4.40 |
% 16.48/4.40 | Equations (422) can reduce 643 to:
% 16.48/4.40 | (397) $false
% 16.48/4.40 |
% 16.48/4.40 |-The branch is then unsatisfiable
% 16.48/4.40 |-Branch two:
% 16.48/4.40 | (457) ~ (all_0_129_129 = e21)
% 16.48/4.40 | (678) all_0_129_129 = e23 | all_0_129_129 = e22 | all_0_129_129 = e20
% 16.48/4.40 |
% 16.48/4.40 +-Applying beta-rule and splitting (678), into two cases.
% 16.48/4.40 |-Branch one:
% 16.48/4.40 | (800) all_0_129_129 = e20
% 16.48/4.40 |
% 16.48/4.40 | Equations (800) can reduce 418 to:
% 16.48/4.40 | (397) $false
% 16.48/4.40 |
% 16.48/4.40 |-The branch is then unsatisfiable
% 16.48/4.40 |-Branch two:
% 16.48/4.40 | (418) ~ (all_0_129_129 = e20)
% 16.48/4.40 | (803) all_0_129_129 = e23 | all_0_129_129 = e22
% 16.48/4.40 |
% 16.48/4.40 +-Applying beta-rule and splitting (803), into two cases.
% 16.48/4.40 |-Branch one:
% 16.48/4.40 | (804) all_0_129_129 = e22
% 16.48/4.40 |
% 16.48/4.40 | Equations (804) can reduce 400 to:
% 16.48/4.40 | (397) $false
% 16.48/4.40 |
% 16.48/4.40 |-The branch is then unsatisfiable
% 16.48/4.40 |-Branch two:
% 16.48/4.40 | (400) ~ (all_0_129_129 = e22)
% 16.48/4.40 | (446) all_0_129_129 = e23
% 16.48/4.40 |
% 16.48/4.40 | Equations (446) can reduce 572 to:
% 16.48/4.40 | (397) $false
% 16.48/4.40 |
% 16.48/4.40 |-The branch is then unsatisfiable
% 16.48/4.40 |-Branch two:
% 16.48/4.40 | (526) all_0_130_130 = e21 & ( ~ (all_0_131_131 = e22) | ~ (all_0_134_134 = e22)) & ( ~ (all_0_131_131 = e21) | ~ (all_0_134_134 = e21)) & ( ~ (all_0_131_131 = e20) | ~ (all_0_134_134 = e20))
% 16.48/4.40 |
% 16.48/4.40 | Applying alpha-rule on (526) yields:
% 16.48/4.40 | (459) all_0_130_130 = e21
% 16.48/4.40 | (528) ~ (all_0_131_131 = e22) | ~ (all_0_134_134 = e22)
% 16.48/4.40 | (529) ~ (all_0_131_131 = e21) | ~ (all_0_134_134 = e21)
% 16.48/4.40 | (530) ~ (all_0_131_131 = e20) | ~ (all_0_134_134 = e20)
% 16.48/4.40 |
% 16.48/4.40 +-Applying beta-rule and splitting (528), into two cases.
% 16.48/4.40 |-Branch one:
% 16.48/4.40 | (531) ~ (all_0_131_131 = e22)
% 16.48/4.40 |
% 16.48/4.40 | Equations (480) can reduce 531 to:
% 16.48/4.40 | (397) $false
% 16.48/4.40 |
% 16.48/4.40 |-The branch is then unsatisfiable
% 16.48/4.40 |-Branch two:
% 16.48/4.40 | (480) all_0_131_131 = e22
% 16.48/4.40 | (534) ~ (all_0_134_134 = e22)
% 16.48/4.40 |
% 16.48/4.40 | Equations (486) can reduce 534 to:
% 16.48/4.40 | (397) $false
% 16.48/4.40 |
% 16.48/4.40 |-The branch is then unsatisfiable
% 16.48/4.40 |-Branch two:
% 16.48/4.40 | (536) all_0_130_130 = e20 & ( ~ (all_0_132_132 = e20) | ~ (all_0_138_138 = e20))
% 16.48/4.40 |
% 16.48/4.40 | Applying alpha-rule on (536) yields:
% 16.48/4.40 | (537) all_0_130_130 = e20
% 16.48/4.40 | (538) ~ (all_0_132_132 = e20) | ~ (all_0_138_138 = e20)
% 16.48/4.40 |
% 16.48/4.40 | Equations (537) can reduce 392 to:
% 16.48/4.40 | (397) $false
% 16.48/4.40 |
% 16.48/4.40 |-The branch is then unsatisfiable
% 16.48/4.40 |-Branch two:
% 16.48/4.40 | (541) all_0_135_135 = e22 & ( ~ (all_0_131_131 = e22) | ~ (all_0_134_134 = e22)) & ( ~ (all_0_131_131 = e21) | ~ (all_0_134_134 = e21)) & ( ~ (all_0_131_131 = e20) | ~ (all_0_134_134 = e20))
% 16.48/4.40 |
% 16.48/4.40 | Applying alpha-rule on (541) yields:
% 16.48/4.40 | (542) all_0_135_135 = e22
% 16.48/4.40 | (528) ~ (all_0_131_131 = e22) | ~ (all_0_134_134 = e22)
% 16.48/4.40 | (529) ~ (all_0_131_131 = e21) | ~ (all_0_134_134 = e21)
% 16.48/4.40 | (530) ~ (all_0_131_131 = e20) | ~ (all_0_134_134 = e20)
% 16.48/4.40 |
% 16.48/4.40 | Combining equations (556,542) yields a new equation:
% 16.48/4.40 | (467) e22 = e21
% 16.48/4.40 |
% 16.48/4.40 | Equations (467) can reduce 259 to:
% 16.48/4.40 | (397) $false
% 16.48/4.40 |
% 16.48/4.40 |-The branch is then unsatisfiable
% 16.48/4.40 |-Branch two:
% 16.48/4.40 | (407) ~ (all_0_135_135 = e21)
% 16.48/4.40 | (605) all_0_135_135 = e22 | all_0_135_135 = e20
% 16.48/4.40 |
% 16.48/4.40 +-Applying beta-rule and splitting (605), into two cases.
% 16.48/4.40 |-Branch one:
% 16.48/4.40 | (474) all_0_135_135 = e20
% 16.48/4.40 |
% 16.48/4.40 | Equations (474) can reduce 579 to:
% 16.48/4.40 | (397) $false
% 16.48/4.40 |
% 16.48/4.40 |-The branch is then unsatisfiable
% 16.48/4.40 |-Branch two:
% 16.48/4.40 | (579) ~ (all_0_135_135 = e20)
% 16.48/4.40 | (542) all_0_135_135 = e22
% 16.48/4.40 |
% 16.48/4.40 | Equations (542) can reduce 737 to:
% 16.48/4.40 | (397) $false
% 16.48/4.40 |
% 16.48/4.40 |-The branch is then unsatisfiable
% 16.48/4.40 |-Branch two:
% 16.48/4.40 | (534) ~ (all_0_134_134 = e22)
% 16.48/4.40 | (542) all_0_135_135 = e22
% 16.48/4.40 |
% 16.48/4.40 | Equations (542) can reduce 737 to:
% 16.48/4.40 | (397) $false
% 16.48/4.40 |
% 16.48/4.40 |-The branch is then unsatisfiable
% 16.48/4.40 |-Branch two:
% 16.48/4.40 | (531) ~ (all_0_131_131 = e22)
% 16.48/4.40 | (542) all_0_135_135 = e22
% 16.48/4.40 |
% 16.48/4.40 | Equations (542) can reduce 59 to:
% 16.48/4.40 | (531) ~ (all_0_131_131 = e22)
% 16.48/4.40 |
% 16.48/4.40 | Equations (542) can reduce 326 to:
% 16.48/4.40 | (843) ~ (e23 = e22)
% 16.48/4.40 |
% 16.48/4.40 | Simplifying 843 yields:
% 16.48/4.40 | (25) ~ (e23 = e22)
% 16.48/4.40 |
% 16.48/4.40 +-Applying beta-rule and splitting (93), into two cases.
% 16.48/4.40 |-Branch one:
% 16.48/4.40 | (804) all_0_129_129 = e22
% 16.48/4.40 |
% 16.48/4.40 | Equations (804) can reduce 400 to:
% 16.48/4.40 | (397) $false
% 16.48/4.40 |
% 16.48/4.40 |-The branch is then unsatisfiable
% 16.48/4.40 |-Branch two:
% 16.48/4.40 | (400) ~ (all_0_129_129 = e22)
% 16.48/4.40 | (848) all_0_130_130 = e22 | all_0_131_131 = e22
% 16.48/4.40 |
% 16.48/4.40 +-Applying beta-rule and splitting (848), into two cases.
% 16.48/4.40 |-Branch one:
% 16.48/4.40 | (466) all_0_130_130 = e22
% 16.48/4.40 |
% 16.48/4.40 | Equations (466) can reduce 277 to:
% 16.48/4.40 | (178) ~ (all_0_127_127 = e22)
% 16.48/4.40 |
% 16.48/4.40 | Equations (466) can reduce 44 to:
% 16.48/4.40 | (400) ~ (all_0_129_129 = e22)
% 16.48/4.40 |
% 16.48/4.40 | Equations (466) can reduce 354 to:
% 16.48/4.40 | (852) ~ (all_0_131_131 = e22)
% 16.48/4.40 |
% 16.48/4.40 | Simplifying 852 yields:
% 16.48/4.40 | (531) ~ (all_0_131_131 = e22)
% 16.48/4.40 |
% 16.48/4.40 | Equations (466) can reduce 132 to:
% 16.48/4.40 | (854) ~ (all_0_134_134 = e22)
% 16.48/4.40 |
% 16.48/4.40 | Simplifying 854 yields:
% 16.48/4.40 | (534) ~ (all_0_134_134 = e22)
% 16.48/4.40 |
% 16.48/4.40 | Equations (466) can reduce 392 to:
% 16.48/4.40 | (128) ~ (e22 = e20)
% 16.48/4.40 |
% 16.48/4.40 +-Applying beta-rule and splitting (316), into two cases.
% 16.48/4.40 |-Branch one:
% 16.48/4.40 | (462) all_0_134_134 = e21
% 16.48/4.40 |
% 16.48/4.40 | Equations (462) can reduce 358 to:
% 16.48/4.40 | (403) ~ (all_0_127_127 = e21)
% 16.48/4.40 |
% 16.48/4.40 | Equations (462) can reduce 477 to:
% 16.48/4.40 | (335) ~ (e21 = e20)
% 16.48/4.40 |
% 16.48/4.40 +-Applying beta-rule and splitting (298), into two cases.
% 16.48/4.40 |-Branch one:
% 16.48/4.40 | (489) all_0_126_126 = e21
% 16.48/4.40 |
% 16.48/4.40 | Equations (489) can reduce 347 to:
% 16.48/4.40 | (861) ~ (all_0_129_129 = e21)
% 16.48/4.40 |
% 16.48/4.40 | Simplifying 861 yields:
% 16.48/4.40 | (457) ~ (all_0_129_129 = e21)
% 16.48/4.40 |
% 16.48/4.40 +-Applying beta-rule and splitting (246), into two cases.
% 16.48/4.40 |-Branch one:
% 16.48/4.40 | (446) all_0_129_129 = e23
% 16.48/4.40 |
% 16.48/4.40 | Equations (446) can reduce 400 to:
% 16.48/4.40 | (25) ~ (e23 = e22)
% 16.48/4.40 |
% 16.48/4.40 | Equations (446) can reduce 457 to:
% 16.48/4.40 | (290) ~ (e23 = e21)
% 16.48/4.40 |
% 16.48/4.40 +-Applying beta-rule and splitting (212), into two cases.
% 16.48/4.40 |-Branch one:
% 16.48/4.40 | (422) all_0_127_127 = e23
% 16.48/4.40 |
% 16.48/4.40 | Equations (422) can reduce 178 to:
% 16.48/4.40 | (25) ~ (e23 = e22)
% 16.48/4.40 |
% 16.48/4.40 +-Applying beta-rule and splitting (343), into two cases.
% 16.48/4.40 |-Branch one:
% 16.48/4.40 | (500) ~ (all_0_136_136 = e23)
% 16.48/4.40 |
% 16.48/4.40 | Equations (437) can reduce 500 to:
% 16.48/4.40 | (397) $false
% 16.48/4.40 |
% 16.48/4.40 |-The branch is then unsatisfiable
% 16.48/4.40 |-Branch two:
% 16.48/4.40 | (437) all_0_136_136 = e23
% 16.48/4.40 | (503) (all_0_126_126 = e21 & ( ~ (all_0_128_128 = e21) | ~ (all_0_133_133 = e21)) & ( ~ (all_0_128_128 = e20) | ~ (all_0_133_133 = e20))) | (all_0_126_126 = e20 & ~ (all_0_137_137 = e22)) | (all_0_130_130 = e23 & ( ~ (all_0_127_127 = e23) | ~ (all_0_129_129 = e23)) & ( ~ (all_0_127_127 = e21) | ~ (all_0_129_129 = e21)) & ( ~ (all_0_127_127 = e20) | ~ (all_0_129_129 = e20))) | (all_0_130_130 = e21 & ( ~ (all_0_131_131 = e22) | ~ (all_0_134_134 = e22)) & ( ~ (all_0_131_131 = e21) | ~ (all_0_134_134 = e21)) & ( ~ (all_0_131_131 = e20) | ~ (all_0_134_134 = e20))) | (all_0_130_130 = e20 & ( ~ (all_0_132_132 = e20) | ~ (all_0_138_138 = e20))) | (all_0_135_135 = e22 & ( ~ (all_0_131_131 = e22) | ~ (all_0_134_134 = e22)) & ( ~ (all_0_131_131 = e21) | ~ (all_0_134_134 = e21)) & ( ~ (all_0_131_131 = e20) | ~ (all_0_134_134 = e20)))
% 16.48/4.41 |
% 16.48/4.41 +-Applying beta-rule and splitting (183), into two cases.
% 16.48/4.41 |-Branch one:
% 16.48/4.41 | (570) all_0_131_131 = e21
% 16.48/4.41 |
% 16.48/4.41 | Equations (570) can reduce 531 to:
% 16.48/4.41 | (408) ~ (e22 = e21)
% 16.48/4.41 |
% 16.48/4.41 | Simplifying 408 yields:
% 16.48/4.41 | (259) ~ (e22 = e21)
% 16.48/4.41 |
% 16.48/4.41 | Equations (570) can reduce 427 to:
% 16.48/4.41 | (335) ~ (e21 = e20)
% 16.48/4.41 |
% 16.48/4.41 +-Applying beta-rule and splitting (503), into two cases.
% 16.48/4.41 |-Branch one:
% 16.48/4.41 | (504) (all_0_126_126 = e21 & ( ~ (all_0_128_128 = e21) | ~ (all_0_133_133 = e21)) & ( ~ (all_0_128_128 = e20) | ~ (all_0_133_133 = e20))) | (all_0_126_126 = e20 & ~ (all_0_137_137 = e22)) | (all_0_130_130 = e23 & ( ~ (all_0_127_127 = e23) | ~ (all_0_129_129 = e23)) & ( ~ (all_0_127_127 = e21) | ~ (all_0_129_129 = e21)) & ( ~ (all_0_127_127 = e20) | ~ (all_0_129_129 = e20))) | (all_0_130_130 = e21 & ( ~ (all_0_131_131 = e22) | ~ (all_0_134_134 = e22)) & ( ~ (all_0_131_131 = e21) | ~ (all_0_134_134 = e21)) & ( ~ (all_0_131_131 = e20) | ~ (all_0_134_134 = e20))) | (all_0_130_130 = e20 & ( ~ (all_0_132_132 = e20) | ~ (all_0_138_138 = e20)))
% 16.48/4.41 |
% 16.48/4.41 +-Applying beta-rule and splitting (504), into two cases.
% 16.48/4.41 |-Branch one:
% 16.48/4.41 | (505) (all_0_126_126 = e21 & ( ~ (all_0_128_128 = e21) | ~ (all_0_133_133 = e21)) & ( ~ (all_0_128_128 = e20) | ~ (all_0_133_133 = e20))) | (all_0_126_126 = e20 & ~ (all_0_137_137 = e22)) | (all_0_130_130 = e23 & ( ~ (all_0_127_127 = e23) | ~ (all_0_129_129 = e23)) & ( ~ (all_0_127_127 = e21) | ~ (all_0_129_129 = e21)) & ( ~ (all_0_127_127 = e20) | ~ (all_0_129_129 = e20))) | (all_0_130_130 = e21 & ( ~ (all_0_131_131 = e22) | ~ (all_0_134_134 = e22)) & ( ~ (all_0_131_131 = e21) | ~ (all_0_134_134 = e21)) & ( ~ (all_0_131_131 = e20) | ~ (all_0_134_134 = e20)))
% 16.48/4.41 |
% 16.48/4.41 +-Applying beta-rule and splitting (505), into two cases.
% 16.48/4.41 |-Branch one:
% 16.48/4.41 | (506) (all_0_126_126 = e21 & ( ~ (all_0_128_128 = e21) | ~ (all_0_133_133 = e21)) & ( ~ (all_0_128_128 = e20) | ~ (all_0_133_133 = e20))) | (all_0_126_126 = e20 & ~ (all_0_137_137 = e22)) | (all_0_130_130 = e23 & ( ~ (all_0_127_127 = e23) | ~ (all_0_129_129 = e23)) & ( ~ (all_0_127_127 = e21) | ~ (all_0_129_129 = e21)) & ( ~ (all_0_127_127 = e20) | ~ (all_0_129_129 = e20)))
% 16.48/4.41 |
% 16.48/4.41 +-Applying beta-rule and splitting (506), into two cases.
% 16.48/4.41 |-Branch one:
% 16.48/4.41 | (507) (all_0_126_126 = e21 & ( ~ (all_0_128_128 = e21) | ~ (all_0_133_133 = e21)) & ( ~ (all_0_128_128 = e20) | ~ (all_0_133_133 = e20))) | (all_0_126_126 = e20 & ~ (all_0_137_137 = e22))
% 16.48/4.41 |
% 16.48/4.41 +-Applying beta-rule and splitting (507), into two cases.
% 16.48/4.41 |-Branch one:
% 16.48/4.41 | (508) all_0_126_126 = e21 & ( ~ (all_0_128_128 = e21) | ~ (all_0_133_133 = e21)) & ( ~ (all_0_128_128 = e20) | ~ (all_0_133_133 = e20))
% 16.48/4.41 |
% 16.48/4.41 | Applying alpha-rule on (508) yields:
% 16.48/4.41 | (489) all_0_126_126 = e21
% 16.48/4.41 | (510) ~ (all_0_128_128 = e21) | ~ (all_0_133_133 = e21)
% 16.48/4.41 | (511) ~ (all_0_128_128 = e20) | ~ (all_0_133_133 = e20)
% 16.48/4.41 |
% 16.48/4.41 +-Applying beta-rule and splitting (511), into two cases.
% 16.48/4.41 |-Branch one:
% 16.48/4.41 | (452) ~ (all_0_128_128 = e20)
% 16.48/4.41 |
% 16.48/4.41 | Equations (449) can reduce 452 to:
% 16.48/4.41 | (397) $false
% 16.48/4.41 |
% 16.48/4.41 |-The branch is then unsatisfiable
% 16.48/4.41 |-Branch two:
% 16.48/4.41 | (449) all_0_128_128 = e20
% 16.48/4.41 | (476) ~ (all_0_133_133 = e20)
% 16.48/4.41 |
% 16.48/4.41 | Equations (717) can reduce 476 to:
% 16.48/4.41 | (397) $false
% 16.48/4.41 |
% 16.48/4.41 |-The branch is then unsatisfiable
% 16.48/4.41 |-Branch two:
% 16.48/4.41 | (514) all_0_126_126 = e20 & ~ (all_0_137_137 = e22)
% 16.48/4.41 |
% 16.48/4.41 | Applying alpha-rule on (514) yields:
% 16.48/4.41 | (414) all_0_126_126 = e20
% 16.48/4.41 | (516) ~ (all_0_137_137 = e22)
% 16.48/4.41 |
% 16.48/4.41 | Combining equations (489,414) yields a new equation:
% 16.48/4.41 | (557) e21 = e20
% 16.48/4.41 |
% 16.48/4.41 | Simplifying 557 yields:
% 16.48/4.41 | (450) e21 = e20
% 16.48/4.41 |
% 16.48/4.41 | Equations (450) can reduce 335 to:
% 16.48/4.41 | (397) $false
% 16.48/4.41 |
% 16.48/4.41 |-The branch is then unsatisfiable
% 16.48/4.41 |-Branch two:
% 16.48/4.41 | (518) all_0_130_130 = e23 & ( ~ (all_0_127_127 = e23) | ~ (all_0_129_129 = e23)) & ( ~ (all_0_127_127 = e21) | ~ (all_0_129_129 = e21)) & ( ~ (all_0_127_127 = e20) | ~ (all_0_129_129 = e20))
% 16.48/4.41 |
% 16.48/4.41 | Applying alpha-rule on (518) yields:
% 16.48/4.41 | (519) all_0_130_130 = e23
% 16.48/4.41 | (520) ~ (all_0_127_127 = e23) | ~ (all_0_129_129 = e23)
% 16.48/4.41 | (521) ~ (all_0_127_127 = e21) | ~ (all_0_129_129 = e21)
% 16.48/4.41 | (522) ~ (all_0_127_127 = e20) | ~ (all_0_129_129 = e20)
% 16.48/4.41 |
% 16.48/4.41 | Combining equations (466,519) yields a new equation:
% 16.48/4.41 | (900) e23 = e22
% 16.48/4.41 |
% 16.48/4.41 | Equations (900) can reduce 25 to:
% 16.48/4.41 | (397) $false
% 16.48/4.41 |
% 16.48/4.41 |-The branch is then unsatisfiable
% 16.48/4.41 |-Branch two:
% 16.48/4.41 | (526) all_0_130_130 = e21 & ( ~ (all_0_131_131 = e22) | ~ (all_0_134_134 = e22)) & ( ~ (all_0_131_131 = e21) | ~ (all_0_134_134 = e21)) & ( ~ (all_0_131_131 = e20) | ~ (all_0_134_134 = e20))
% 16.48/4.41 |
% 16.48/4.41 | Applying alpha-rule on (526) yields:
% 16.48/4.41 | (459) all_0_130_130 = e21
% 16.48/4.41 | (528) ~ (all_0_131_131 = e22) | ~ (all_0_134_134 = e22)
% 16.48/4.41 | (529) ~ (all_0_131_131 = e21) | ~ (all_0_134_134 = e21)
% 16.48/4.41 | (530) ~ (all_0_131_131 = e20) | ~ (all_0_134_134 = e20)
% 16.48/4.41 |
% 16.48/4.41 | Combining equations (466,459) yields a new equation:
% 16.48/4.41 | (552) e22 = e21
% 16.48/4.41 |
% 16.48/4.41 | Simplifying 552 yields:
% 16.48/4.41 | (467) e22 = e21
% 16.48/4.41 |
% 16.48/4.41 | Equations (467) can reduce 259 to:
% 16.48/4.41 | (397) $false
% 16.48/4.41 |
% 16.48/4.41 |-The branch is then unsatisfiable
% 16.48/4.41 |-Branch two:
% 16.48/4.41 | (536) all_0_130_130 = e20 & ( ~ (all_0_132_132 = e20) | ~ (all_0_138_138 = e20))
% 16.48/4.41 |
% 16.48/4.41 | Applying alpha-rule on (536) yields:
% 16.48/4.41 | (537) all_0_130_130 = e20
% 16.48/4.41 | (538) ~ (all_0_132_132 = e20) | ~ (all_0_138_138 = e20)
% 16.48/4.41 |
% 16.48/4.41 | Combining equations (466,537) yields a new equation:
% 16.48/4.41 | (546) e22 = e20
% 16.48/4.41 |
% 16.48/4.41 | Simplifying 546 yields:
% 16.48/4.41 | (547) e22 = e20
% 16.48/4.41 |
% 16.48/4.41 | Equations (547) can reduce 128 to:
% 16.48/4.41 | (397) $false
% 16.48/4.41 |
% 16.48/4.41 |-The branch is then unsatisfiable
% 16.48/4.41 |-Branch two:
% 16.48/4.41 | (541) all_0_135_135 = e22 & ( ~ (all_0_131_131 = e22) | ~ (all_0_134_134 = e22)) & ( ~ (all_0_131_131 = e21) | ~ (all_0_134_134 = e21)) & ( ~ (all_0_131_131 = e20) | ~ (all_0_134_134 = e20))
% 16.48/4.41 |
% 16.48/4.41 | Applying alpha-rule on (541) yields:
% 16.48/4.41 | (542) all_0_135_135 = e22
% 16.48/4.41 | (528) ~ (all_0_131_131 = e22) | ~ (all_0_134_134 = e22)
% 16.48/4.41 | (529) ~ (all_0_131_131 = e21) | ~ (all_0_134_134 = e21)
% 16.48/4.41 | (530) ~ (all_0_131_131 = e20) | ~ (all_0_134_134 = e20)
% 16.48/4.41 |
% 16.48/4.41 +-Applying beta-rule and splitting (529), into two cases.
% 16.48/4.41 |-Branch one:
% 16.48/4.41 | (405) ~ (all_0_131_131 = e21)
% 16.48/4.41 |
% 16.48/4.41 | Equations (570) can reduce 405 to:
% 16.48/4.41 | (397) $false
% 16.48/4.41 |
% 16.48/4.41 |-The branch is then unsatisfiable
% 16.48/4.41 |-Branch two:
% 16.48/4.41 | (570) all_0_131_131 = e21
% 16.48/4.41 | (461) ~ (all_0_134_134 = e21)
% 16.48/4.41 |
% 16.48/4.41 | Equations (462) can reduce 461 to:
% 16.48/4.41 | (397) $false
% 16.48/4.41 |
% 16.48/4.41 |-The branch is then unsatisfiable
% 16.48/4.41 |-Branch two:
% 16.48/4.41 | (405) ~ (all_0_131_131 = e21)
% 16.48/4.41 | (927) all_0_131_131 = e22 | all_0_131_131 = e20
% 16.48/4.41 |
% 16.48/4.41 +-Applying beta-rule and splitting (927), into two cases.
% 16.48/4.41 |-Branch one:
% 16.48/4.41 | (471) all_0_131_131 = e20
% 16.48/4.41 |
% 16.48/4.41 | Equations (471) can reduce 427 to:
% 16.48/4.41 | (397) $false
% 16.48/4.41 |
% 16.48/4.41 |-The branch is then unsatisfiable
% 16.48/4.41 |-Branch two:
% 16.48/4.41 | (427) ~ (all_0_131_131 = e20)
% 16.48/4.41 | (480) all_0_131_131 = e22
% 16.48/4.41 |
% 16.48/4.41 | Equations (480) can reduce 531 to:
% 16.48/4.41 | (397) $false
% 16.48/4.41 |
% 16.48/4.41 |-The branch is then unsatisfiable
% 16.48/4.41 |-Branch two:
% 16.48/4.41 | (643) ~ (all_0_127_127 = e23)
% 16.48/4.41 | (934) all_0_130_130 = e23 | all_0_134_134 = e23
% 16.48/4.41 |
% 16.48/4.41 +-Applying beta-rule and splitting (934), into two cases.
% 16.48/4.41 |-Branch one:
% 16.48/4.41 | (519) all_0_130_130 = e23
% 16.48/4.41 |
% 16.48/4.41 | Combining equations (466,519) yields a new equation:
% 16.48/4.41 | (900) e23 = e22
% 16.48/4.41 |
% 16.48/4.41 | Equations (900) can reduce 25 to:
% 16.48/4.41 | (397) $false
% 16.48/4.41 |
% 16.48/4.41 |-The branch is then unsatisfiable
% 16.48/4.41 |-Branch two:
% 16.48/4.41 | (938) ~ (all_0_130_130 = e23)
% 16.48/4.41 | (672) all_0_134_134 = e23
% 16.48/4.41 |
% 16.48/4.41 | Combining equations (672,462) yields a new equation:
% 16.48/4.41 | (523) e23 = e21
% 16.48/4.41 |
% 16.48/4.41 | Simplifying 523 yields:
% 16.48/4.41 | (455) e23 = e21
% 16.48/4.41 |
% 16.48/4.41 | Equations (455) can reduce 290 to:
% 16.48/4.41 | (397) $false
% 16.48/4.41 |
% 16.48/4.41 |-The branch is then unsatisfiable
% 16.48/4.41 |-Branch two:
% 16.48/4.41 | (572) ~ (all_0_129_129 = e23)
% 16.48/4.41 | (944) all_0_130_130 = e23 | all_0_132_132 = e23
% 16.48/4.41 |
% 16.48/4.41 +-Applying beta-rule and splitting (944), into two cases.
% 16.48/4.41 |-Branch one:
% 16.48/4.41 | (519) all_0_130_130 = e23
% 16.48/4.41 |
% 16.48/4.41 | Combining equations (466,519) yields a new equation:
% 16.48/4.41 | (900) e23 = e22
% 16.48/4.41 |
% 16.48/4.41 | Equations (900) can reduce 25 to:
% 16.48/4.41 | (397) $false
% 16.48/4.41 |
% 16.48/4.41 |-The branch is then unsatisfiable
% 16.48/4.41 |-Branch two:
% 16.48/4.41 | (938) ~ (all_0_130_130 = e23)
% 16.48/4.41 | (582) all_0_132_132 = e23
% 16.48/4.41 |
% 16.48/4.41 | Combining equations (426,582) yields a new equation:
% 16.48/4.41 | (442) e23 = e20
% 16.48/4.41 |
% 16.48/4.41 | Equations (442) can reduce 282 to:
% 16.48/4.41 | (397) $false
% 16.48/4.41 |
% 16.48/4.41 |-The branch is then unsatisfiable
% 16.48/4.41 |-Branch two:
% 16.48/4.41 | (492) ~ (all_0_126_126 = e21)
% 16.48/4.41 | (953) all_0_127_127 = e21 | all_0_128_128 = e21
% 16.48/4.41 |
% 16.48/4.41 +-Applying beta-rule and splitting (953), into two cases.
% 16.48/4.41 |-Branch one:
% 16.48/4.41 | (410) all_0_127_127 = e21
% 16.48/4.41 |
% 16.48/4.41 | Equations (410) can reduce 403 to:
% 16.48/4.41 | (397) $false
% 16.48/4.41 |
% 16.48/4.41 |-The branch is then unsatisfiable
% 16.48/4.41 |-Branch two:
% 16.48/4.41 | (403) ~ (all_0_127_127 = e21)
% 16.48/4.41 | (402) all_0_128_128 = e21
% 16.48/4.41 |
% 16.48/4.41 | Combining equations (449,402) yields a new equation:
% 16.48/4.41 | (450) e21 = e20
% 16.48/4.41 |
% 16.48/4.41 | Equations (450) can reduce 335 to:
% 16.48/4.41 | (397) $false
% 16.48/4.41 |
% 16.48/4.41 |-The branch is then unsatisfiable
% 16.48/4.41 |-Branch two:
% 16.48/4.41 | (461) ~ (all_0_134_134 = e21)
% 16.48/4.41 | (465) all_0_134_134 = e23 | all_0_134_134 = e22 | all_0_134_134 = e20
% 16.48/4.41 |
% 16.48/4.41 +-Applying beta-rule and splitting (465), into two cases.
% 16.48/4.41 |-Branch one:
% 16.48/4.41 | (482) all_0_134_134 = e20
% 16.48/4.41 |
% 16.48/4.41 | Equations (482) can reduce 477 to:
% 16.48/4.41 | (397) $false
% 16.48/4.41 |
% 16.48/4.41 |-The branch is then unsatisfiable
% 16.48/4.41 |-Branch two:
% 16.48/4.41 | (477) ~ (all_0_134_134 = e20)
% 16.48/4.41 | (485) all_0_134_134 = e23 | all_0_134_134 = e22
% 16.48/4.41 |
% 16.48/4.41 +-Applying beta-rule and splitting (246), into two cases.
% 16.48/4.41 |-Branch one:
% 16.48/4.41 | (446) all_0_129_129 = e23
% 16.48/4.41 |
% 16.48/4.41 | Equations (446) can reduce 347 to:
% 16.48/4.41 | (444) ~ (all_0_126_126 = e23)
% 16.48/4.41 |
% 16.48/4.41 +-Applying beta-rule and splitting (45), into two cases.
% 16.48/4.41 |-Branch one:
% 16.48/4.41 | (489) all_0_126_126 = e21
% 16.48/4.41 |
% 16.48/4.41 | Equations (489) can reduce 444 to:
% 16.48/4.41 | (497) ~ (e23 = e21)
% 16.48/4.41 |
% 16.48/4.41 | Simplifying 497 yields:
% 16.48/4.41 | (290) ~ (e23 = e21)
% 16.48/4.41 |
% 16.48/4.41 +-Applying beta-rule and splitting (212), into two cases.
% 16.48/4.41 |-Branch one:
% 16.48/4.41 | (422) all_0_127_127 = e23
% 16.48/4.41 |
% 16.48/4.41 | Equations (422) can reduce 358 to:
% 16.48/4.41 | (423) ~ (all_0_134_134 = e23)
% 16.48/4.41 |
% 16.48/4.41 | Simplifying 423 yields:
% 16.48/4.41 | (424) ~ (all_0_134_134 = e23)
% 16.48/4.41 |
% 16.48/4.41 +-Applying beta-rule and splitting (485), into two cases.
% 16.48/4.41 |-Branch one:
% 16.48/4.41 | (486) all_0_134_134 = e22
% 16.48/4.41 |
% 16.48/4.41 | Equations (486) can reduce 534 to:
% 16.48/4.41 | (397) $false
% 16.48/4.41 |
% 16.48/4.41 |-The branch is then unsatisfiable
% 16.48/4.41 |-Branch two:
% 16.48/4.41 | (534) ~ (all_0_134_134 = e22)
% 16.48/4.41 | (672) all_0_134_134 = e23
% 16.48/4.41 |
% 16.48/4.41 | Equations (672) can reduce 424 to:
% 16.48/4.41 | (397) $false
% 16.48/4.41 |
% 16.48/4.41 |-The branch is then unsatisfiable
% 16.48/4.41 |-Branch two:
% 16.48/4.41 | (643) ~ (all_0_127_127 = e23)
% 16.48/4.41 | (934) all_0_130_130 = e23 | all_0_134_134 = e23
% 16.48/4.41 |
% 16.48/4.41 +-Applying beta-rule and splitting (240), into two cases.
% 16.48/4.41 |-Branch one:
% 16.48/4.41 | (441) all_0_126_126 = e23
% 16.48/4.41 |
% 16.48/4.41 | Combining equations (489,441) yields a new equation:
% 16.48/4.41 | (455) e23 = e21
% 16.48/4.41 |
% 16.48/4.41 | Equations (455) can reduce 290 to:
% 16.48/4.41 | (397) $false
% 16.48/4.41 |
% 16.48/4.41 |-The branch is then unsatisfiable
% 16.48/4.41 |-Branch two:
% 16.48/4.42 | (444) ~ (all_0_126_126 = e23)
% 16.48/4.42 | (422) all_0_127_127 = e23
% 16.48/4.42 |
% 16.48/4.42 | Equations (422) can reduce 643 to:
% 16.48/4.42 | (397) $false
% 16.48/4.42 |
% 16.48/4.42 |-The branch is then unsatisfiable
% 16.48/4.42 |-Branch two:
% 16.48/4.42 | (492) ~ (all_0_126_126 = e21)
% 16.48/4.42 | (988) all_0_126_126 = e23 | all_0_126_126 = e20
% 16.48/4.42 |
% 16.48/4.42 +-Applying beta-rule and splitting (988), into two cases.
% 16.48/4.42 |-Branch one:
% 16.48/4.42 | (414) all_0_126_126 = e20
% 16.48/4.42 |
% 16.48/4.42 | Equations (414) can reduce 697 to:
% 16.48/4.42 | (397) $false
% 16.48/4.42 |
% 16.48/4.42 |-The branch is then unsatisfiable
% 16.48/4.42 |-Branch two:
% 16.48/4.42 | (697) ~ (all_0_126_126 = e20)
% 16.48/4.42 | (441) all_0_126_126 = e23
% 16.48/4.42 |
% 16.48/4.42 | Equations (441) can reduce 444 to:
% 16.48/4.42 | (397) $false
% 16.48/4.42 |
% 16.48/4.42 |-The branch is then unsatisfiable
% 16.48/4.42 |-Branch two:
% 16.48/4.42 | (572) ~ (all_0_129_129 = e23)
% 16.48/4.42 | (944) all_0_130_130 = e23 | all_0_132_132 = e23
% 16.48/4.42 |
% 16.48/4.42 +-Applying beta-rule and splitting (212), into two cases.
% 16.48/4.42 |-Branch one:
% 16.48/4.42 | (422) all_0_127_127 = e23
% 16.48/4.42 |
% 16.48/4.42 | Equations (422) can reduce 338 to:
% 16.48/4.42 | (444) ~ (all_0_126_126 = e23)
% 16.48/4.42 |
% 16.48/4.42 | Equations (422) can reduce 391 to:
% 16.48/4.42 | (282) ~ (e23 = e20)
% 16.48/4.42 |
% 16.48/4.42 +-Applying beta-rule and splitting (298), into two cases.
% 16.48/4.42 |-Branch one:
% 16.48/4.42 | (489) all_0_126_126 = e21
% 16.48/4.42 |
% 16.48/4.42 | Equations (489) can reduce 444 to:
% 16.48/4.42 | (497) ~ (e23 = e21)
% 16.48/4.42 |
% 16.48/4.42 | Simplifying 497 yields:
% 16.48/4.42 | (290) ~ (e23 = e21)
% 16.48/4.42 |
% 16.48/4.42 +-Applying beta-rule and splitting (320), into two cases.
% 16.48/4.42 |-Branch one:
% 16.48/4.42 | (441) all_0_126_126 = e23
% 16.48/4.42 |
% 16.48/4.42 | Combining equations (489,441) yields a new equation:
% 16.48/4.42 | (455) e23 = e21
% 16.48/4.42 |
% 16.48/4.42 | Equations (455) can reduce 290 to:
% 16.48/4.42 | (397) $false
% 16.48/4.42 |
% 16.48/4.42 |-The branch is then unsatisfiable
% 16.48/4.42 |-Branch two:
% 16.48/4.42 | (444) ~ (all_0_126_126 = e23)
% 16.48/4.42 | (445) all_0_129_129 = e23 | all_0_133_133 = e23
% 16.48/4.42 |
% 16.48/4.42 +-Applying beta-rule and splitting (445), into two cases.
% 16.48/4.42 |-Branch one:
% 16.48/4.42 | (446) all_0_129_129 = e23
% 16.48/4.42 |
% 16.48/4.42 | Equations (446) can reduce 572 to:
% 16.48/4.42 | (397) $false
% 16.48/4.42 |
% 16.48/4.42 |-The branch is then unsatisfiable
% 16.48/4.42 |-Branch two:
% 16.48/4.42 | (572) ~ (all_0_129_129 = e23)
% 16.48/4.42 | (573) all_0_133_133 = e23
% 16.48/4.42 |
% 16.48/4.42 | Combining equations (717,573) yields a new equation:
% 16.48/4.42 | (442) e23 = e20
% 16.48/4.42 |
% 16.48/4.42 | Equations (442) can reduce 282 to:
% 16.48/4.42 | (397) $false
% 16.48/4.42 |
% 16.48/4.42 |-The branch is then unsatisfiable
% 16.48/4.42 |-Branch two:
% 16.48/4.42 | (492) ~ (all_0_126_126 = e21)
% 16.48/4.42 | (953) all_0_127_127 = e21 | all_0_128_128 = e21
% 16.48/4.42 |
% 16.48/4.42 +-Applying beta-rule and splitting (953), into two cases.
% 16.48/4.42 |-Branch one:
% 16.48/4.42 | (410) all_0_127_127 = e21
% 16.48/4.42 |
% 16.48/4.42 | Combining equations (422,410) yields a new equation:
% 16.48/4.42 | (523) e23 = e21
% 16.48/4.42 |
% 16.48/4.42 | Simplifying 523 yields:
% 16.48/4.42 | (455) e23 = e21
% 16.48/4.42 |
% 16.48/4.42 | Equations (455) can reduce 290 to:
% 16.48/4.42 | (397) $false
% 16.48/4.42 |
% 16.48/4.42 |-The branch is then unsatisfiable
% 16.48/4.42 |-Branch two:
% 16.48/4.42 | (403) ~ (all_0_127_127 = e21)
% 16.48/4.42 | (402) all_0_128_128 = e21
% 16.48/4.42 |
% 16.48/4.42 | Combining equations (449,402) yields a new equation:
% 16.48/4.42 | (450) e21 = e20
% 16.48/4.42 |
% 16.48/4.42 | Equations (450) can reduce 335 to:
% 16.48/4.42 | (397) $false
% 16.48/4.42 |
% 16.48/4.42 |-The branch is then unsatisfiable
% 16.48/4.42 |-Branch two:
% 16.48/4.42 | (643) ~ (all_0_127_127 = e23)
% 16.48/4.42 | (934) all_0_130_130 = e23 | all_0_134_134 = e23
% 16.48/4.42 |
% 16.48/4.42 +-Applying beta-rule and splitting (934), into two cases.
% 16.48/4.42 |-Branch one:
% 16.48/4.42 | (519) all_0_130_130 = e23
% 16.48/4.42 |
% 16.48/4.42 | Combining equations (466,519) yields a new equation:
% 16.48/4.42 | (900) e23 = e22
% 16.48/4.42 |
% 16.48/4.42 | Equations (900) can reduce 25 to:
% 16.48/4.42 | (397) $false
% 16.48/4.42 |
% 16.48/4.42 |-The branch is then unsatisfiable
% 16.48/4.42 |-Branch two:
% 16.48/4.42 | (938) ~ (all_0_130_130 = e23)
% 16.48/4.42 | (672) all_0_134_134 = e23
% 16.48/4.42 |
% 16.48/4.42 | Equations (672) can reduce 424 to:
% 16.48/4.42 | (397) $false
% 16.48/4.42 |
% 16.48/4.42 |-The branch is then unsatisfiable
% 16.48/4.42 |-Branch two:
% 16.48/4.42 | (469) ~ (all_0_130_130 = e22)
% 16.48/4.42 | (480) all_0_131_131 = e22
% 16.48/4.42 |
% 16.48/4.42 | Equations (480) can reduce 531 to:
% 16.48/4.42 | (397) $false
% 16.48/4.42 |
% 16.48/4.42 |-The branch is then unsatisfiable
% 16.48/4.42 |-Branch two:
% 16.48/4.42 | (476) ~ (all_0_133_133 = e20)
% 16.48/4.42 | (1035) all_0_134_134 = e20 | all_0_135_135 = e20 | all_0_136_136 = e20
% 16.48/4.42 |
% 16.48/4.42 +-Applying beta-rule and splitting (72), into two cases.
% 16.48/4.42 |-Branch one:
% 16.48/4.42 | (414) all_0_126_126 = e20
% 16.48/4.42 |
% 16.48/4.42 | Equations (414) can reduce 697 to:
% 16.48/4.42 | (397) $false
% 16.48/4.42 |
% 16.48/4.42 |-The branch is then unsatisfiable
% 16.48/4.42 |-Branch two:
% 16.48/4.42 | (697) ~ (all_0_126_126 = e20)
% 16.48/4.42 | (1039) all_0_129_129 = e20 | all_0_133_133 = e20 | all_0_137_137 = e20
% 16.48/4.42 |
% 16.48/4.42 +-Applying beta-rule and splitting (1039), into two cases.
% 16.48/4.42 |-Branch one:
% 16.48/4.42 | (800) all_0_129_129 = e20
% 16.48/4.42 |
% 16.48/4.42 | Equations (800) can reduce 418 to:
% 16.48/4.42 | (397) $false
% 16.48/4.42 |
% 16.48/4.42 |-The branch is then unsatisfiable
% 16.48/4.42 |-Branch two:
% 16.48/4.42 | (418) ~ (all_0_129_129 = e20)
% 16.48/4.42 | (1043) all_0_133_133 = e20 | all_0_137_137 = e20
% 16.48/4.42 |
% 16.48/4.42 +-Applying beta-rule and splitting (1043), into two cases.
% 16.48/4.42 |-Branch one:
% 16.48/4.42 | (717) all_0_133_133 = e20
% 16.48/4.42 |
% 16.48/4.42 | Equations (717) can reduce 476 to:
% 16.48/4.42 | (397) $false
% 16.48/4.42 |
% 16.48/4.42 |-The branch is then unsatisfiable
% 16.48/4.42 |-Branch two:
% 16.48/4.42 | (476) ~ (all_0_133_133 = e20)
% 16.48/4.42 | (396) all_0_137_137 = e20
% 16.48/4.42 |
% 16.48/4.42 | Combining equations (396,399) yields a new equation:
% 16.48/4.42 | (547) e22 = e20
% 16.48/4.42 |
% 16.48/4.42 | Equations (547) can reduce 128 to:
% 16.48/4.42 | (397) $false
% 16.48/4.42 |
% 16.48/4.42 |-The branch is then unsatisfiable
% 16.48/4.42 |-Branch two:
% 16.48/4.42 | (575) ~ (all_0_132_132 = e20)
% 16.48/4.42 | (582) all_0_132_132 = e23
% 16.48/4.42 |
% 16.48/4.42 | Equations (582) can reduce 331 to:
% 16.48/4.42 | (572) ~ (all_0_129_129 = e23)
% 16.48/4.42 |
% 16.48/4.42 | Equations (582) can reduce 97 to:
% 16.48/4.42 | (938) ~ (all_0_130_130 = e23)
% 16.48/4.42 |
% 16.48/4.42 | Equations (582) can reduce 311 to:
% 16.48/4.42 | (270) ~ (all_0_131_131 = e23)
% 16.48/4.42 |
% 16.48/4.42 | Equations (582) can reduce 356 to:
% 16.48/4.42 | (1055) ~ (all_0_136_136 = e23)
% 16.48/4.42 |
% 16.48/4.42 | Simplifying 1055 yields:
% 16.48/4.42 | (500) ~ (all_0_136_136 = e23)
% 16.48/4.42 |
% 16.48/4.42 | Equations (582) can reduce 575 to:
% 16.48/4.42 | (282) ~ (e23 = e20)
% 16.48/4.42 |
% 16.48/4.42 +-Applying beta-rule and splitting (373), into two cases.
% 16.48/4.42 |-Branch one:
% 16.48/4.42 | (426) all_0_132_132 = e20
% 16.48/4.42 |
% 16.48/4.42 | Combining equations (426,582) yields a new equation:
% 16.48/4.42 | (442) e23 = e20
% 16.48/4.42 |
% 16.48/4.42 | Equations (442) can reduce 282 to:
% 16.48/4.42 | (397) $false
% 16.48/4.42 |
% 16.48/4.42 |-The branch is then unsatisfiable
% 16.48/4.42 |-Branch two:
% 16.48/4.42 | (575) ~ (all_0_132_132 = e20)
% 16.48/4.42 | (434) all_0_136_136 = e20
% 16.48/4.42 |
% 16.48/4.42 | Equations (434) can reduce 217 to:
% 16.48/4.42 | (476) ~ (all_0_133_133 = e20)
% 16.48/4.42 |
% 16.48/4.42 | Equations (434) can reduce 15 to:
% 16.48/4.42 | (579) ~ (all_0_135_135 = e20)
% 16.48/4.42 |
% 16.48/4.42 | Equations (434) can reduce 500 to:
% 16.48/4.42 | (609) ~ (e23 = e20)
% 16.48/4.42 |
% 16.48/4.42 | Simplifying 609 yields:
% 16.48/4.42 | (282) ~ (e23 = e20)
% 16.48/4.42 |
% 16.48/4.42 | Equations (434) can reduce 359 to:
% 16.48/4.42 | (394) ~ (e21 = e20)
% 16.48/4.42 |
% 16.48/4.42 | Simplifying 394 yields:
% 16.48/4.42 | (335) ~ (e21 = e20)
% 16.48/4.42 |
% 16.48/4.42 +-Applying beta-rule and splitting (296), into two cases.
% 16.48/4.42 |-Branch one:
% 16.48/4.42 | (620) (all_0_127_127 = e23 & all_0_129_129 = e23 & ~ (all_0_126_126 = e23) & ~ (all_0_133_133 = e21) & ~ (all_0_137_137 = e20)) | (all_0_128_128 = e21 & all_0_133_133 = e21 & ~ (all_0_131_131 = e22) & ~ (all_0_135_135 = e21)) | (all_0_131_131 = e22 & all_0_134_134 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_138_138 = e20)) | (all_0_131_131 = e21 & all_0_134_134 = e21 & ~ (all_0_135_135 = e21))
% 16.48/4.42 |
% 16.48/4.42 +-Applying beta-rule and splitting (620), into two cases.
% 16.48/4.42 |-Branch one:
% 16.48/4.42 | (621) (all_0_127_127 = e23 & all_0_129_129 = e23 & ~ (all_0_126_126 = e23) & ~ (all_0_133_133 = e21) & ~ (all_0_137_137 = e20)) | (all_0_128_128 = e21 & all_0_133_133 = e21 & ~ (all_0_131_131 = e22) & ~ (all_0_135_135 = e21)) | (all_0_131_131 = e22 & all_0_134_134 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_138_138 = e20))
% 16.48/4.42 |
% 16.48/4.42 +-Applying beta-rule and splitting (621), into two cases.
% 16.48/4.42 |-Branch one:
% 16.48/4.42 | (622) (all_0_127_127 = e23 & all_0_129_129 = e23 & ~ (all_0_126_126 = e23) & ~ (all_0_133_133 = e21) & ~ (all_0_137_137 = e20)) | (all_0_128_128 = e21 & all_0_133_133 = e21 & ~ (all_0_131_131 = e22) & ~ (all_0_135_135 = e21))
% 16.48/4.42 |
% 16.48/4.42 +-Applying beta-rule and splitting (622), into two cases.
% 16.48/4.42 |-Branch one:
% 16.48/4.42 | (623) all_0_127_127 = e23 & all_0_129_129 = e23 & ~ (all_0_126_126 = e23) & ~ (all_0_133_133 = e21) & ~ (all_0_137_137 = e20)
% 16.48/4.42 |
% 16.48/4.42 | Applying alpha-rule on (623) yields:
% 16.48/4.42 | (444) ~ (all_0_126_126 = e23)
% 16.48/4.42 | (446) all_0_129_129 = e23
% 16.48/4.42 | (393) ~ (all_0_137_137 = e20)
% 16.48/4.42 | (549) ~ (all_0_133_133 = e21)
% 16.48/4.42 | (422) all_0_127_127 = e23
% 16.48/4.42 |
% 16.48/4.42 | Equations (446) can reduce 572 to:
% 16.48/4.42 | (397) $false
% 16.48/4.42 |
% 16.48/4.42 |-The branch is then unsatisfiable
% 16.48/4.42 |-Branch two:
% 16.48/4.42 | (631) all_0_128_128 = e21 & all_0_133_133 = e21 & ~ (all_0_131_131 = e22) & ~ (all_0_135_135 = e21)
% 16.48/4.42 |
% 16.48/4.42 | Applying alpha-rule on (631) yields:
% 16.48/4.42 | (402) all_0_128_128 = e21
% 16.48/4.42 | (496) all_0_133_133 = e21
% 16.48/4.42 | (531) ~ (all_0_131_131 = e22)
% 16.48/4.42 | (407) ~ (all_0_135_135 = e21)
% 16.48/4.42 |
% 16.48/4.42 | Combining equations (449,402) yields a new equation:
% 16.48/4.42 | (450) e21 = e20
% 16.48/4.42 |
% 16.48/4.42 | Equations (450) can reduce 335 to:
% 16.48/4.42 | (397) $false
% 16.48/4.42 |
% 16.48/4.42 |-The branch is then unsatisfiable
% 16.48/4.42 |-Branch two:
% 16.48/4.42 | (639) all_0_131_131 = e22 & all_0_134_134 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_138_138 = e20)
% 16.48/4.42 |
% 16.48/4.42 | Applying alpha-rule on (639) yields:
% 16.48/4.42 | (469) ~ (all_0_130_130 = e22)
% 16.48/4.42 | (480) all_0_131_131 = e22
% 16.48/4.42 | (642) ~ (all_0_138_138 = e20)
% 16.48/4.42 | (643) ~ (all_0_127_127 = e23)
% 16.48/4.42 | (486) all_0_134_134 = e22
% 16.48/4.42 |
% 16.48/4.42 | Equations (390) can reduce 642 to:
% 16.48/4.42 | (397) $false
% 16.48/4.42 |
% 16.48/4.42 |-The branch is then unsatisfiable
% 16.48/4.42 |-Branch two:
% 16.48/4.42 | (651) all_0_131_131 = e21 & all_0_134_134 = e21 & ~ (all_0_135_135 = e21)
% 16.48/4.42 |
% 16.48/4.42 | Applying alpha-rule on (651) yields:
% 16.48/4.42 | (570) all_0_131_131 = e21
% 16.48/4.42 | (462) all_0_134_134 = e21
% 16.48/4.42 | (407) ~ (all_0_135_135 = e21)
% 16.48/4.42 |
% 16.48/4.42 | Equations (462) can reduce 358 to:
% 16.48/4.42 | (403) ~ (all_0_127_127 = e21)
% 16.48/4.42 |
% 16.48/4.42 | Equations (570) can reduce 46 to:
% 16.48/4.42 | (457) ~ (all_0_129_129 = e21)
% 16.48/4.42 |
% 16.48/4.42 | Equations (462) can reduce 132 to:
% 16.48/4.42 | (569) ~ (all_0_130_130 = e21)
% 16.48/4.42 |
% 16.48/4.42 | Equations (570) can reduce 270 to:
% 16.48/4.42 | (497) ~ (e23 = e21)
% 16.48/4.42 |
% 16.48/4.42 | Simplifying 497 yields:
% 16.48/4.42 | (290) ~ (e23 = e21)
% 16.48/4.42 |
% 16.48/4.42 +-Applying beta-rule and splitting (91), into two cases.
% 16.48/4.42 |-Branch one:
% 16.48/4.42 | (480) all_0_131_131 = e22
% 16.48/4.42 |
% 16.48/4.42 | Combining equations (570,480) yields a new equation:
% 16.48/4.42 | (467) e22 = e21
% 16.48/4.42 |
% 16.48/4.42 | Equations (467) can reduce 259 to:
% 16.48/4.42 | (397) $false
% 16.48/4.42 |
% 16.48/4.42 |-The branch is then unsatisfiable
% 16.48/4.42 |-Branch two:
% 16.48/4.42 | (531) ~ (all_0_131_131 = e22)
% 16.48/4.42 | (542) all_0_135_135 = e22
% 16.48/4.42 |
% 16.48/4.42 | Equations (542) can reduce 191 to:
% 16.48/4.42 | (742) ~ (all_0_133_133 = e22)
% 16.48/4.42 |
% 16.48/4.42 | Equations (542) can reduce 579 to:
% 16.48/4.42 | (128) ~ (e22 = e20)
% 16.48/4.42 |
% 16.48/4.42 +-Applying beta-rule and splitting (365), into two cases.
% 16.48/4.42 |-Branch one:
% 16.48/4.42 | (459) all_0_130_130 = e21
% 16.48/4.42 |
% 16.48/4.42 | Equations (459) can reduce 569 to:
% 16.48/4.42 | (397) $false
% 16.48/4.42 |
% 16.48/4.42 |-The branch is then unsatisfiable
% 16.48/4.42 |-Branch two:
% 16.48/4.42 | (569) ~ (all_0_130_130 = e21)
% 16.48/4.42 | (1112) all_0_130_130 = e23 | all_0_130_130 = e22 | all_0_130_130 = e20
% 16.48/4.42 |
% 16.48/4.42 +-Applying beta-rule and splitting (1112), into two cases.
% 16.48/4.42 |-Branch one:
% 16.48/4.42 | (537) all_0_130_130 = e20
% 16.48/4.42 |
% 16.48/4.42 | Equations (537) can reduce 392 to:
% 16.48/4.42 | (397) $false
% 16.48/4.42 |
% 16.48/4.42 |-The branch is then unsatisfiable
% 16.48/4.42 |-Branch two:
% 16.48/4.42 | (392) ~ (all_0_130_130 = e20)
% 16.48/4.42 | (1116) all_0_130_130 = e23 | all_0_130_130 = e22
% 16.48/4.43 |
% 16.48/4.43 +-Applying beta-rule and splitting (72), into two cases.
% 16.48/4.43 |-Branch one:
% 16.48/4.43 | (414) all_0_126_126 = e20
% 16.48/4.43 |
% 16.48/4.43 | Equations (414) can reduce 697 to:
% 16.48/4.43 | (397) $false
% 16.48/4.43 |
% 16.48/4.43 |-The branch is then unsatisfiable
% 16.48/4.43 |-Branch two:
% 16.48/4.43 | (697) ~ (all_0_126_126 = e20)
% 16.48/4.43 | (1039) all_0_129_129 = e20 | all_0_133_133 = e20 | all_0_137_137 = e20
% 16.48/4.43 |
% 16.48/4.43 +-Applying beta-rule and splitting (1039), into two cases.
% 16.48/4.43 |-Branch one:
% 16.48/4.43 | (800) all_0_129_129 = e20
% 16.48/4.43 |
% 16.48/4.43 | Equations (800) can reduce 29 to:
% 16.48/4.43 | (1122) ~ (all_0_133_133 = e20)
% 16.48/4.43 |
% 16.48/4.43 | Simplifying 1122 yields:
% 16.48/4.43 | (476) ~ (all_0_133_133 = e20)
% 16.48/4.43 |
% 16.48/4.43 | Equations (800) can reduce 457 to:
% 16.48/4.43 | (394) ~ (e21 = e20)
% 16.48/4.43 |
% 16.48/4.43 | Simplifying 394 yields:
% 16.48/4.43 | (335) ~ (e21 = e20)
% 16.48/4.43 |
% 16.48/4.43 +-Applying beta-rule and splitting (1116), into two cases.
% 16.48/4.43 |-Branch one:
% 16.48/4.43 | (466) all_0_130_130 = e22
% 16.48/4.43 |
% 16.48/4.43 +-Applying beta-rule and splitting (298), into two cases.
% 16.48/4.43 |-Branch one:
% 16.48/4.43 | (489) all_0_126_126 = e21
% 16.48/4.43 |
% 16.48/4.43 | Equations (489) can reduce 9 to:
% 16.48/4.43 | (1128) ~ (all_0_133_133 = e21)
% 16.48/4.43 |
% 16.48/4.43 | Simplifying 1128 yields:
% 16.48/4.43 | (549) ~ (all_0_133_133 = e21)
% 16.48/4.43 |
% 16.48/4.43 +-Applying beta-rule and splitting (240), into two cases.
% 16.48/4.43 |-Branch one:
% 16.48/4.43 | (441) all_0_126_126 = e23
% 16.48/4.43 |
% 16.48/4.43 | Combining equations (489,441) yields a new equation:
% 16.48/4.43 | (455) e23 = e21
% 16.48/4.43 |
% 16.48/4.43 | Equations (455) can reduce 290 to:
% 16.48/4.43 | (397) $false
% 16.48/4.43 |
% 16.48/4.43 |-The branch is then unsatisfiable
% 16.48/4.43 |-Branch two:
% 16.48/4.43 | (444) ~ (all_0_126_126 = e23)
% 16.48/4.43 | (422) all_0_127_127 = e23
% 16.48/4.43 |
% 16.48/4.43 +-Applying beta-rule and splitting (289), into two cases.
% 16.48/4.43 |-Branch one:
% 16.48/4.43 | (496) all_0_133_133 = e21
% 16.48/4.43 |
% 16.48/4.43 | Equations (496) can reduce 549 to:
% 16.48/4.43 | (397) $false
% 16.48/4.43 |
% 16.48/4.43 |-The branch is then unsatisfiable
% 16.48/4.43 |-Branch two:
% 16.48/4.43 | (549) ~ (all_0_133_133 = e21)
% 16.48/4.43 | (1138) all_0_133_133 = e23 | all_0_133_133 = e22 | all_0_133_133 = e20
% 16.48/4.43 |
% 16.48/4.43 +-Applying beta-rule and splitting (1138), into two cases.
% 16.48/4.43 |-Branch one:
% 16.48/4.43 | (717) all_0_133_133 = e20
% 16.48/4.43 |
% 16.48/4.43 | Equations (717) can reduce 476 to:
% 16.48/4.43 | (397) $false
% 16.48/4.43 |
% 16.48/4.43 |-The branch is then unsatisfiable
% 16.48/4.43 |-Branch two:
% 16.48/4.43 | (476) ~ (all_0_133_133 = e20)
% 16.48/4.43 | (1142) all_0_133_133 = e23 | all_0_133_133 = e22
% 16.48/4.43 |
% 16.48/4.43 +-Applying beta-rule and splitting (1142), into two cases.
% 16.48/4.43 |-Branch one:
% 16.48/4.43 | (739) all_0_133_133 = e22
% 16.48/4.43 |
% 16.48/4.43 | Equations (739) can reduce 742 to:
% 16.48/4.43 | (397) $false
% 16.48/4.43 |
% 16.48/4.43 |-The branch is then unsatisfiable
% 16.48/4.43 |-Branch two:
% 16.48/4.43 | (742) ~ (all_0_133_133 = e22)
% 16.48/4.43 | (573) all_0_133_133 = e23
% 16.48/4.43 |
% 16.48/4.43 +-Applying beta-rule and splitting (342), into two cases.
% 16.48/4.43 |-Branch one:
% 16.48/4.43 | (1147) all_0_141_141 = e10
% 16.48/4.43 |
% 16.48/4.43 | Equations (1147) can reduce 305 to:
% 16.48/4.43 | (1148) ~ (all_0_140_140 = e10)
% 16.48/4.43 |
% 16.48/4.43 | Equations (1147) can reduce 83 to:
% 16.48/4.43 | (1149) ~ (all_0_144_144 = e10)
% 16.48/4.43 |
% 16.48/4.43 | Simplifying 1149 yields:
% 16.48/4.43 | (1150) ~ (all_0_144_144 = e10)
% 16.48/4.43 |
% 16.48/4.43 | Equations (1147) can reduce 145 to:
% 16.48/4.43 | (1151) ~ (all_0_148_148 = e10)
% 16.48/4.43 |
% 16.48/4.43 | Simplifying 1151 yields:
% 16.48/4.43 | (1152) ~ (all_0_148_148 = e10)
% 16.48/4.43 |
% 16.48/4.43 | From (1147) and (123) follows:
% 16.48/4.43 | (1153) op1(e11, e10) = all_0_115_115
% 16.48/4.43 |
% 16.48/4.43 | From (1147) and (74) follows:
% 16.48/4.43 | (1154) h1(e10) = all_0_86_86
% 16.48/4.43 |
% 16.48/4.43 | Instantiating formula (387) with e11, e10, all_0_115_115, all_0_149_149 and discharging atoms op1(e11, e10) = all_0_115_115, op1(e11, e10) = all_0_149_149, yields:
% 16.48/4.43 | (1155) all_0_115_115 = all_0_149_149
% 16.48/4.43 |
% 16.48/4.43 | Instantiating formula (202) with e10, all_0_86_86, e20 and discharging atoms h1(e10) = all_0_86_86, h1(e10) = e20, yields:
% 16.48/4.43 | (1156) all_0_86_86 = e20
% 16.48/4.43 |
% 16.48/4.43 | From (1156) and (1154) follows:
% 16.48/4.43 | (98) h1(e10) = e20
% 16.48/4.43 |
% 16.48/4.43 +-Applying beta-rule and splitting (127), into two cases.
% 16.48/4.43 |-Branch one:
% 16.48/4.43 | (1158) all_0_149_149 = e10
% 16.48/4.43 |
% 16.48/4.43 | Combining equations (1158,1155) yields a new equation:
% 16.48/4.43 | (1159) all_0_115_115 = e10
% 16.48/4.43 |
% 16.48/4.43 | Equations (1158) can reduce 33 to:
% 16.48/4.43 | (1160) ~ (all_0_145_145 = e10)
% 16.48/4.43 |
% 16.48/4.43 | Equations (1158) can reduce 118 to:
% 16.48/4.43 | (1152) ~ (all_0_148_148 = e10)
% 16.48/4.43 |
% 16.48/4.43 | From (1158) and (187) follows:
% 16.48/4.43 | (1162) op1(e10, e10) = all_0_123_123
% 16.48/4.43 |
% 16.48/4.43 | From (1158) and (152) follows:
% 16.48/4.43 | (1163) h1(e10) = all_0_94_94
% 16.48/4.43 |
% 16.48/4.43 +-Applying beta-rule and splitting (211), into two cases.
% 16.48/4.43 |-Branch one:
% 16.48/4.43 | (1164) all_0_145_145 = e10
% 16.48/4.43 |
% 16.48/4.43 | Equations (1164) can reduce 1160 to:
% 16.48/4.43 | (397) $false
% 16.48/4.43 |
% 16.48/4.43 |-The branch is then unsatisfiable
% 16.48/4.43 |-Branch two:
% 16.48/4.43 | (1160) ~ (all_0_145_145 = e10)
% 16.48/4.43 | (1167) all_0_145_145 = e13
% 16.48/4.43 |
% 16.48/4.43 | Equations (1167) can reduce 268 to:
% 16.48/4.43 | (1168) ~ (all_0_142_142 = e13)
% 16.48/4.43 |
% 16.48/4.43 | Equations (1167) can reduce 260 to:
% 16.48/4.43 | (104) ~ (all_0_144_144 = e13)
% 16.48/4.43 |
% 16.48/4.43 | From (1167) and (24) follows:
% 16.48/4.43 | (1170) h1(e13) = all_0_90_90
% 16.48/4.43 |
% 16.48/4.43 | Instantiating formula (387) with e10, e10, all_0_123_123, e11 and discharging atoms op1(e10, e10) = all_0_123_123, op1(e10, e10) = e11, yields:
% 16.48/4.43 | (1171) all_0_123_123 = e11
% 16.48/4.43 |
% 16.48/4.43 | Instantiating formula (202) with e13, all_0_90_90, e23 and discharging atoms h1(e13) = all_0_90_90, h1(e13) = e23, yields:
% 16.48/4.43 | (1172) all_0_90_90 = e23
% 16.48/4.43 |
% 16.48/4.43 | Instantiating formula (202) with e10, all_0_94_94, e20 and discharging atoms h1(e10) = all_0_94_94, h1(e10) = e20, yields:
% 16.48/4.43 | (1173) all_0_94_94 = e20
% 16.48/4.43 |
% 16.48/4.43 | From (1172) and (1170) follows:
% 16.48/4.43 | (368) h1(e13) = e23
% 16.48/4.43 |
% 16.48/4.43 | From (1173) and (1163) follows:
% 16.48/4.43 | (98) h1(e10) = e20
% 16.48/4.43 |
% 16.48/4.43 +-Applying beta-rule and splitting (232), into two cases.
% 16.48/4.43 |-Branch one:
% 16.48/4.43 | (1176) all_0_150_150 = e10
% 16.48/4.43 |
% 16.48/4.43 | Equations (1176) can reduce 322 to:
% 16.48/4.43 | (1177) ~ (all_0_139_139 = e10)
% 16.48/4.43 |
% 16.48/4.43 | Equations (1176) can reduce 329 to:
% 16.48/4.43 | (1178) ~ (all_0_142_142 = e10)
% 16.48/4.43 |
% 16.48/4.43 | Equations (1176) can reduce 389 to:
% 16.48/4.43 | (1179) ~ (all_0_151_151 = e10)
% 16.48/4.43 |
% 16.48/4.43 | Simplifying 1179 yields:
% 16.48/4.43 | (1180) ~ (all_0_151_151 = e10)
% 16.48/4.43 |
% 16.48/4.43 | Equations (1176) can reduce 223 to:
% 16.48/4.43 | (1181) ~ (e11 = e10)
% 16.48/4.43 |
% 16.48/4.43 | Simplifying 1181 yields:
% 16.48/4.43 | (308) ~ (e11 = e10)
% 16.48/4.43 |
% 16.48/4.43 +-Applying beta-rule and splitting (48), into two cases.
% 16.48/4.43 |-Branch one:
% 16.48/4.43 | (1183) all_0_151_151 = e10
% 16.48/4.43 |
% 16.48/4.43 | Equations (1183) can reduce 1180 to:
% 16.48/4.43 | (397) $false
% 16.48/4.43 |
% 16.48/4.43 |-The branch is then unsatisfiable
% 16.48/4.43 |-Branch two:
% 16.48/4.43 | (1180) ~ (all_0_151_151 = e10)
% 16.48/4.43 | (1186) all_0_151_151 = e12
% 16.48/4.43 |
% 16.48/4.43 | Equations (1186) can reduce 122 to:
% 16.48/4.43 | (1187) ~ (all_0_143_143 = e12)
% 16.48/4.43 |
% 16.48/4.43 | Equations (1186) can reduce 319 to:
% 16.48/4.43 | (1188) ~ (all_0_147_147 = e12)
% 16.48/4.43 |
% 16.48/4.43 | Equations (1186) can reduce 1180 to:
% 16.48/4.43 | (170) ~ (e12 = e10)
% 16.48/4.43 |
% 16.48/4.43 | From (1186) and (265) follows:
% 16.48/4.43 | (1190) op1(e12, e12) = all_0_125_125
% 16.48/4.43 |
% 16.48/4.43 +-Applying beta-rule and splitting (12), into two cases.
% 16.48/4.43 |-Branch one:
% 16.48/4.43 | (1191) all_0_142_142 = e10
% 16.48/4.43 |
% 16.48/4.43 | Equations (1191) can reduce 1178 to:
% 16.48/4.43 | (397) $false
% 16.48/4.43 |
% 16.48/4.43 |-The branch is then unsatisfiable
% 16.48/4.43 |-Branch two:
% 16.48/4.43 | (1178) ~ (all_0_142_142 = e10)
% 16.48/4.43 | (1194) all_0_143_143 = e10 | all_0_144_144 = e10 | all_0_145_145 = e10
% 16.48/4.43 |
% 16.48/4.43 +-Applying beta-rule and splitting (251), into two cases.
% 16.48/4.43 |-Branch one:
% 16.48/4.43 | (1195) (all_0_140_140 = e13 & all_0_142_142 = e13 & ~ (all_0_139_139 = e13) & ~ (all_0_146_146 = e11) & ~ (all_0_150_150 = e10)) | (all_0_141_141 = e11 & all_0_146_146 = e11 & ~ (all_0_144_144 = e12) & ~ (all_0_148_148 = e11)) | (all_0_144_144 = e12 & all_0_147_147 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_151_151 = e10)) | (all_0_144_144 = e11 & all_0_147_147 = e11 & ~ (all_0_148_148 = e11))
% 16.48/4.44 |
% 16.48/4.44 +-Applying beta-rule and splitting (1195), into two cases.
% 16.48/4.44 |-Branch one:
% 16.48/4.44 | (1196) (all_0_140_140 = e13 & all_0_142_142 = e13 & ~ (all_0_139_139 = e13) & ~ (all_0_146_146 = e11) & ~ (all_0_150_150 = e10)) | (all_0_141_141 = e11 & all_0_146_146 = e11 & ~ (all_0_144_144 = e12) & ~ (all_0_148_148 = e11)) | (all_0_144_144 = e12 & all_0_147_147 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_151_151 = e10))
% 16.48/4.44 |
% 16.48/4.44 +-Applying beta-rule and splitting (1196), into two cases.
% 16.48/4.44 |-Branch one:
% 16.48/4.44 | (1197) (all_0_140_140 = e13 & all_0_142_142 = e13 & ~ (all_0_139_139 = e13) & ~ (all_0_146_146 = e11) & ~ (all_0_150_150 = e10)) | (all_0_141_141 = e11 & all_0_146_146 = e11 & ~ (all_0_144_144 = e12) & ~ (all_0_148_148 = e11))
% 16.48/4.44 |
% 16.48/4.44 +-Applying beta-rule and splitting (1197), into two cases.
% 16.48/4.44 |-Branch one:
% 16.48/4.44 | (1198) all_0_140_140 = e13 & all_0_142_142 = e13 & ~ (all_0_139_139 = e13) & ~ (all_0_146_146 = e11) & ~ (all_0_150_150 = e10)
% 16.48/4.44 |
% 16.48/4.44 | Applying alpha-rule on (1198) yields:
% 16.48/4.44 | (1199) ~ (all_0_150_150 = e10)
% 16.48/4.44 | (1200) ~ (all_0_139_139 = e13)
% 16.48/4.44 | (1201) all_0_140_140 = e13
% 16.48/4.44 | (1202) ~ (all_0_146_146 = e11)
% 16.48/4.44 | (1203) all_0_142_142 = e13
% 16.48/4.44 |
% 16.48/4.44 | Equations (1176) can reduce 1199 to:
% 16.48/4.44 | (397) $false
% 16.48/4.44 |
% 16.48/4.44 |-The branch is then unsatisfiable
% 16.48/4.44 |-Branch two:
% 16.48/4.44 | (1205) all_0_141_141 = e11 & all_0_146_146 = e11 & ~ (all_0_144_144 = e12) & ~ (all_0_148_148 = e11)
% 16.48/4.44 |
% 16.48/4.44 | Applying alpha-rule on (1205) yields:
% 16.48/4.44 | (1206) all_0_141_141 = e11
% 16.48/4.44 | (1207) all_0_146_146 = e11
% 16.48/4.44 | (1208) ~ (all_0_144_144 = e12)
% 16.48/4.44 | (1209) ~ (all_0_148_148 = e11)
% 16.48/4.44 |
% 16.48/4.44 | Combining equations (1206,1147) yields a new equation:
% 16.48/4.44 | (1210) e11 = e10
% 16.48/4.44 |
% 16.48/4.44 | Simplifying 1210 yields:
% 16.48/4.44 | (1211) e11 = e10
% 16.48/4.44 |
% 16.48/4.44 | Equations (1211) can reduce 308 to:
% 16.48/4.44 | (397) $false
% 16.48/4.44 |
% 16.48/4.44 |-The branch is then unsatisfiable
% 16.48/4.44 |-Branch two:
% 16.48/4.44 | (1213) all_0_144_144 = e12 & all_0_147_147 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_151_151 = e10)
% 16.48/4.44 |
% 16.48/4.44 | Applying alpha-rule on (1213) yields:
% 16.48/4.44 | (1180) ~ (all_0_151_151 = e10)
% 16.48/4.44 | (1215) all_0_147_147 = e12
% 16.48/4.44 | (1187) ~ (all_0_143_143 = e12)
% 16.48/4.44 | (1217) ~ (all_0_140_140 = e13)
% 16.48/4.44 | (1218) all_0_144_144 = e12
% 16.48/4.44 |
% 16.48/4.44 | Equations (1215) can reduce 1188 to:
% 16.48/4.44 | (397) $false
% 16.48/4.44 |
% 16.48/4.44 |-The branch is then unsatisfiable
% 16.48/4.44 |-Branch two:
% 16.48/4.44 | (1220) all_0_144_144 = e11 & all_0_147_147 = e11 & ~ (all_0_148_148 = e11)
% 16.48/4.44 |
% 16.48/4.44 | Applying alpha-rule on (1220) yields:
% 16.48/4.44 | (1221) all_0_144_144 = e11
% 16.48/4.44 | (1222) all_0_147_147 = e11
% 16.48/4.44 | (1209) ~ (all_0_148_148 = e11)
% 16.48/4.44 |
% 16.48/4.44 | Equations (1222) can reduce 75 to:
% 16.48/4.44 | (1224) ~ (all_0_140_140 = e11)
% 16.48/4.44 |
% 16.48/4.44 | Equations (1222) can reduce 85 to:
% 16.48/4.44 | (1225) ~ (all_0_143_143 = e11)
% 16.48/4.44 |
% 16.48/4.44 | Equations (1222) can reduce 1188 to:
% 16.48/4.44 | (1226) ~ (e12 = e11)
% 16.48/4.44 |
% 16.48/4.44 | Simplifying 1226 yields:
% 16.48/4.44 | (321) ~ (e12 = e11)
% 16.48/4.44 |
% 16.48/4.44 | From (1222) and (215) follows:
% 16.48/4.44 | (1228) op1(e12, e11) = all_0_121_121
% 16.48/4.44 |
% 16.48/4.44 | From (1221) and (328) follows:
% 16.48/4.44 | (1229) op1(e12, e11) = e11
% 16.48/4.44 |
% 16.48/4.44 | From (1221) and (267) follows:
% 16.48/4.44 | (1230) op1(e11, e11) = all_0_118_118
% 16.48/4.44 |
% 16.48/4.44 +-Applying beta-rule and splitting (169), into two cases.
% 16.48/4.44 |-Branch one:
% 16.48/4.44 | (1218) all_0_144_144 = e12
% 16.48/4.44 |
% 16.48/4.44 | Combining equations (1221,1218) yields a new equation:
% 16.48/4.44 | (1232) e12 = e11
% 16.48/4.44 |
% 16.48/4.44 | Equations (1232) can reduce 321 to:
% 16.48/4.44 | (397) $false
% 16.48/4.44 |
% 16.48/4.44 |-The branch is then unsatisfiable
% 16.48/4.44 |-Branch two:
% 16.48/4.44 | (1208) ~ (all_0_144_144 = e12)
% 16.48/4.44 | (1235) all_0_148_148 = e12
% 16.48/4.44 |
% 16.48/4.44 | Equations (1235) can reduce 372 to:
% 16.48/4.44 | (1236) ~ (all_0_146_146 = e12)
% 16.48/4.44 |
% 16.48/4.44 | From (1235) and (182) follows:
% 16.48/4.44 | (1237) op1(e11, e11) = e12
% 16.48/4.44 |
% 16.48/4.44 +-Applying beta-rule and splitting (273), into two cases.
% 16.48/4.44 |-Branch one:
% 16.48/4.44 | (1238) all_0_140_140 = e10
% 16.48/4.44 |
% 16.48/4.44 | Equations (1238) can reduce 1148 to:
% 16.48/4.44 | (397) $false
% 16.48/4.44 |
% 16.48/4.44 |-The branch is then unsatisfiable
% 16.48/4.44 |-Branch two:
% 16.48/4.44 | (1148) ~ (all_0_140_140 = e10)
% 16.48/4.44 | (1241) all_0_140_140 = e13 | all_0_140_140 = e11
% 16.48/4.44 |
% 16.48/4.44 +-Applying beta-rule and splitting (306), into two cases.
% 16.48/4.44 |-Branch one:
% 16.48/4.44 | (1238) all_0_140_140 = e10
% 16.48/4.44 |
% 16.48/4.44 | Equations (1238) can reduce 1148 to:
% 16.48/4.44 | (397) $false
% 16.48/4.44 |
% 16.48/4.44 |-The branch is then unsatisfiable
% 16.48/4.44 |-Branch two:
% 16.48/4.44 | (1148) ~ (all_0_140_140 = e10)
% 16.48/4.44 | (1245) all_0_143_143 = e10 | all_0_147_147 = e10 | all_0_151_151 = e10
% 16.48/4.44 |
% 16.48/4.44 +-Applying beta-rule and splitting (1241), into two cases.
% 16.48/4.44 |-Branch one:
% 16.48/4.44 | (1246) all_0_140_140 = e11
% 16.48/4.44 |
% 16.48/4.44 | Equations (1246) can reduce 1224 to:
% 16.48/4.44 | (397) $false
% 16.48/4.44 |
% 16.48/4.44 |-The branch is then unsatisfiable
% 16.48/4.44 |-Branch two:
% 16.48/4.44 | (1224) ~ (all_0_140_140 = e11)
% 16.48/4.44 | (1201) all_0_140_140 = e13
% 16.48/4.44 |
% 16.48/4.44 | Equations (1201) can reduce 125 to:
% 16.48/4.44 | (1200) ~ (all_0_139_139 = e13)
% 16.48/4.44 |
% 16.48/4.44 | Equations (1201) can reduce 1224 to:
% 16.48/4.44 | (363) ~ (e13 = e11)
% 16.48/4.44 |
% 16.48/4.44 +-Applying beta-rule and splitting (1245), into two cases.
% 16.48/4.44 |-Branch one:
% 16.48/4.44 | (1252) all_0_143_143 = e10
% 16.48/4.44 |
% 16.48/4.44 | Equations (1252) can reduce 355 to:
% 16.48/4.44 | (1178) ~ (all_0_142_142 = e10)
% 16.48/4.44 |
% 16.48/4.44 | Equations (1252) can reduce 1187 to:
% 16.48/4.44 | (1254) ~ (e12 = e10)
% 16.48/4.44 |
% 16.48/4.44 | Simplifying 1254 yields:
% 16.48/4.44 | (170) ~ (e12 = e10)
% 16.48/4.44 |
% 16.48/4.44 | Equations (1252) can reduce 1225 to:
% 16.48/4.44 | (1181) ~ (e11 = e10)
% 16.48/4.44 |
% 16.48/4.44 | Simplifying 1181 yields:
% 16.48/4.44 | (308) ~ (e11 = e10)
% 16.48/4.44 |
% 16.48/4.44 | From (1252) and (263) follows:
% 16.48/4.44 | (1258) op1(e12, e12) = e10
% 16.48/4.44 |
% 16.48/4.44 +-Applying beta-rule and splitting (11), into two cases.
% 16.48/4.44 |-Branch one:
% 16.48/4.44 | (1191) all_0_142_142 = e10
% 16.48/4.44 |
% 16.48/4.44 | Equations (1191) can reduce 1178 to:
% 16.48/4.44 | (397) $false
% 16.48/4.44 |
% 16.48/4.44 |-The branch is then unsatisfiable
% 16.48/4.44 |-Branch two:
% 16.48/4.44 | (1178) ~ (all_0_142_142 = e10)
% 16.48/4.44 | (1262) all_0_142_142 = e13 | all_0_142_142 = e12 | all_0_142_142 = e11
% 16.48/4.44 |
% 16.48/4.44 +-Applying beta-rule and splitting (220), into two cases.
% 16.48/4.44 |-Branch one:
% 16.48/4.44 | (1263) all_0_139_139 = e11
% 16.48/4.44 |
% 16.48/4.44 | Equations (1263) can reduce 235 to:
% 16.48/4.44 | (1264) ~ (all_0_142_142 = e11)
% 16.48/4.44 |
% 16.48/4.44 | Simplifying 1264 yields:
% 16.48/4.44 | (1265) ~ (all_0_142_142 = e11)
% 16.48/4.44 |
% 16.48/4.44 | Equations (1263) can reduce 1200 to:
% 16.48/4.44 | (1266) ~ (e13 = e11)
% 16.48/4.44 |
% 16.48/4.44 | Simplifying 1266 yields:
% 16.48/4.44 | (363) ~ (e13 = e11)
% 16.48/4.44 |
% 16.48/4.44 | Equations (1263) can reduce 66 to:
% 16.48/4.44 | (1226) ~ (e12 = e11)
% 16.48/4.44 |
% 16.48/4.44 | Simplifying 1226 yields:
% 16.48/4.44 | (321) ~ (e12 = e11)
% 16.48/4.44 |
% 16.48/4.44 | Equations (1263) can reduce 1177 to:
% 16.48/4.44 | (308) ~ (e11 = e10)
% 16.48/4.44 |
% 16.48/4.44 | From (1263) and (19) follows:
% 16.48/4.44 | (1271) op1(e13, e13) = e11
% 16.48/4.44 |
% 16.48/4.44 +-Applying beta-rule and splitting (42), into two cases.
% 16.48/4.44 |-Branch one:
% 16.48/4.44 | (1272) all_0_139_139 = e13
% 16.48/4.44 |
% 16.48/4.44 | Combining equations (1272,1263) yields a new equation:
% 16.48/4.44 | (1273) e13 = e11
% 16.48/4.44 |
% 16.48/4.44 | Simplifying 1273 yields:
% 16.48/4.44 | (1274) e13 = e11
% 16.48/4.44 |
% 16.48/4.44 | Equations (1274) can reduce 363 to:
% 16.48/4.44 | (397) $false
% 16.48/4.44 |
% 16.48/4.44 |-The branch is then unsatisfiable
% 16.48/4.44 |-Branch two:
% 16.48/4.44 | (1200) ~ (all_0_139_139 = e13)
% 16.48/4.44 | (1277) all_0_142_142 = e13 | all_0_146_146 = e13
% 16.48/4.45 |
% 16.48/4.45 +-Applying beta-rule and splitting (364), into two cases.
% 16.48/4.45 |-Branch one:
% 16.48/4.45 | (1278) all_0_146_146 = e13
% 16.48/4.45 |
% 16.48/4.45 | Equations (1278) can reduce 49 to:
% 16.48/4.45 | (1168) ~ (all_0_142_142 = e13)
% 16.48/4.45 |
% 16.48/4.45 | From (1278) and (382) follows:
% 16.48/4.45 | (1280) op1(e13, e13) = all_0_120_120
% 16.48/4.45 |
% 16.48/4.45 +-Applying beta-rule and splitting (1262), into two cases.
% 16.48/4.45 |-Branch one:
% 16.48/4.45 | (1281) all_0_142_142 = e11
% 16.48/4.45 |
% 16.48/4.45 | Equations (1281) can reduce 1265 to:
% 16.48/4.45 | (397) $false
% 16.48/4.45 |
% 16.48/4.45 |-The branch is then unsatisfiable
% 16.48/4.45 |-Branch two:
% 16.48/4.45 | (1265) ~ (all_0_142_142 = e11)
% 16.48/4.45 | (1284) all_0_142_142 = e13 | all_0_142_142 = e12
% 16.48/4.45 |
% 16.48/4.45 +-Applying beta-rule and splitting (147), into two cases.
% 16.48/4.45 |-Branch one:
% 16.48/4.45 | (1285) all_0_142_142 = e12
% 16.48/4.45 |
% 16.48/4.45 | Equations (1285) can reduce 1168 to:
% 16.48/4.45 | (1286) ~ (e13 = e12)
% 16.48/4.45 |
% 16.48/4.45 | Simplifying 1286 yields:
% 16.48/4.45 | (300) ~ (e13 = e12)
% 16.48/4.45 |
% 16.48/4.45 | Equations (1285) can reduce 1265 to:
% 16.48/4.45 | (321) ~ (e12 = e11)
% 16.48/4.45 |
% 16.48/4.45 | Equations (1285) can reduce 1178 to:
% 16.48/4.45 | (170) ~ (e12 = e10)
% 16.48/4.45 |
% 16.48/4.45 | Instantiating formula (387) with e13, e13, e11, all_0_120_120 and discharging atoms op1(e13, e13) = all_0_120_120, op1(e13, e13) = e11, yields:
% 16.48/4.45 | (1290) all_0_120_120 = e11
% 16.48/4.45 |
% 16.48/4.45 | Instantiating formula (387) with e12, e12, e10, all_0_125_125 and discharging atoms op1(e12, e12) = all_0_125_125, op1(e12, e12) = e10, yields:
% 16.48/4.45 | (1291) all_0_125_125 = e10
% 16.48/4.45 |
% 16.48/4.45 | Instantiating formula (387) with e12, e11, e11, all_0_121_121 and discharging atoms op1(e12, e11) = all_0_121_121, op1(e12, e11) = e11, yields:
% 16.48/4.45 | (1292) all_0_121_121 = e11
% 16.48/4.45 |
% 16.48/4.45 | Instantiating formula (387) with e11, e11, e12, all_0_118_118 and discharging atoms op1(e11, e11) = all_0_118_118, op1(e11, e11) = e12, yields:
% 16.48/4.45 | (1293) all_0_118_118 = e12
% 16.48/4.45 |
% 16.48/4.45 +-Applying beta-rule and splitting (213), into two cases.
% 16.48/4.45 |-Branch one:
% 16.48/4.45 | (1294) (all_0_114_114 = e12 & all_0_140_140 = all_0_142_142) | (all_0_115_115 = e11 & all_0_141_141 = all_0_146_146) | (all_0_116_116 = e13 & all_0_140_140 = all_0_142_142) | (all_0_118_118 = e11 & all_0_144_144 = all_0_147_147) | (all_0_119_119 = e10 & all_0_145_145 = all_0_151_151) | (all_0_120_120 = e13 & all_0_141_141 = all_0_146_146) | (all_0_121_121 = e12 & all_0_144_144 = all_0_147_147) | (all_0_123_123 = e10 & all_0_149_149 = e13) | (all_0_124_124 = e13 & all_0_150_150 = e12) | (all_0_125_125 = e12 & all_0_145_145 = all_0_151_151) | (all_0_146_146 = e11 & all_0_149_149 = e13)
% 16.48/4.45 |
% 16.48/4.45 +-Applying beta-rule and splitting (1294), into two cases.
% 16.48/4.45 |-Branch one:
% 16.48/4.45 | (1295) (all_0_114_114 = e12 & all_0_140_140 = all_0_142_142) | (all_0_115_115 = e11 & all_0_141_141 = all_0_146_146) | (all_0_116_116 = e13 & all_0_140_140 = all_0_142_142) | (all_0_118_118 = e11 & all_0_144_144 = all_0_147_147) | (all_0_119_119 = e10 & all_0_145_145 = all_0_151_151) | (all_0_120_120 = e13 & all_0_141_141 = all_0_146_146) | (all_0_121_121 = e12 & all_0_144_144 = all_0_147_147) | (all_0_123_123 = e10 & all_0_149_149 = e13) | (all_0_124_124 = e13 & all_0_150_150 = e12) | (all_0_125_125 = e12 & all_0_145_145 = all_0_151_151)
% 16.48/4.45 |
% 16.48/4.45 +-Applying beta-rule and splitting (1295), into two cases.
% 16.48/4.45 |-Branch one:
% 16.48/4.45 | (1296) (all_0_114_114 = e12 & all_0_140_140 = all_0_142_142) | (all_0_115_115 = e11 & all_0_141_141 = all_0_146_146) | (all_0_116_116 = e13 & all_0_140_140 = all_0_142_142) | (all_0_118_118 = e11 & all_0_144_144 = all_0_147_147) | (all_0_119_119 = e10 & all_0_145_145 = all_0_151_151) | (all_0_120_120 = e13 & all_0_141_141 = all_0_146_146) | (all_0_121_121 = e12 & all_0_144_144 = all_0_147_147) | (all_0_123_123 = e10 & all_0_149_149 = e13) | (all_0_124_124 = e13 & all_0_150_150 = e12)
% 16.48/4.45 |
% 16.48/4.45 +-Applying beta-rule and splitting (1296), into two cases.
% 16.48/4.45 |-Branch one:
% 16.48/4.45 | (1297) (all_0_114_114 = e12 & all_0_140_140 = all_0_142_142) | (all_0_115_115 = e11 & all_0_141_141 = all_0_146_146) | (all_0_116_116 = e13 & all_0_140_140 = all_0_142_142) | (all_0_118_118 = e11 & all_0_144_144 = all_0_147_147) | (all_0_119_119 = e10 & all_0_145_145 = all_0_151_151) | (all_0_120_120 = e13 & all_0_141_141 = all_0_146_146) | (all_0_121_121 = e12 & all_0_144_144 = all_0_147_147) | (all_0_123_123 = e10 & all_0_149_149 = e13)
% 16.48/4.45 |
% 16.48/4.45 +-Applying beta-rule and splitting (1297), into two cases.
% 16.48/4.45 |-Branch one:
% 16.48/4.45 | (1298) (all_0_114_114 = e12 & all_0_140_140 = all_0_142_142) | (all_0_115_115 = e11 & all_0_141_141 = all_0_146_146) | (all_0_116_116 = e13 & all_0_140_140 = all_0_142_142) | (all_0_118_118 = e11 & all_0_144_144 = all_0_147_147) | (all_0_119_119 = e10 & all_0_145_145 = all_0_151_151) | (all_0_120_120 = e13 & all_0_141_141 = all_0_146_146) | (all_0_121_121 = e12 & all_0_144_144 = all_0_147_147)
% 16.48/4.45 |
% 16.48/4.45 +-Applying beta-rule and splitting (1298), into two cases.
% 16.48/4.45 |-Branch one:
% 16.48/4.45 | (1299) (all_0_114_114 = e12 & all_0_140_140 = all_0_142_142) | (all_0_115_115 = e11 & all_0_141_141 = all_0_146_146) | (all_0_116_116 = e13 & all_0_140_140 = all_0_142_142) | (all_0_118_118 = e11 & all_0_144_144 = all_0_147_147) | (all_0_119_119 = e10 & all_0_145_145 = all_0_151_151) | (all_0_120_120 = e13 & all_0_141_141 = all_0_146_146)
% 16.48/4.45 |
% 16.48/4.45 +-Applying beta-rule and splitting (1299), into two cases.
% 16.48/4.45 |-Branch one:
% 16.48/4.45 | (1300) (all_0_114_114 = e12 & all_0_140_140 = all_0_142_142) | (all_0_115_115 = e11 & all_0_141_141 = all_0_146_146) | (all_0_116_116 = e13 & all_0_140_140 = all_0_142_142) | (all_0_118_118 = e11 & all_0_144_144 = all_0_147_147) | (all_0_119_119 = e10 & all_0_145_145 = all_0_151_151)
% 16.48/4.45 |
% 16.48/4.45 +-Applying beta-rule and splitting (1300), into two cases.
% 16.48/4.45 |-Branch one:
% 16.48/4.45 | (1301) (all_0_114_114 = e12 & all_0_140_140 = all_0_142_142) | (all_0_115_115 = e11 & all_0_141_141 = all_0_146_146) | (all_0_116_116 = e13 & all_0_140_140 = all_0_142_142) | (all_0_118_118 = e11 & all_0_144_144 = all_0_147_147)
% 16.48/4.45 |
% 16.48/4.45 +-Applying beta-rule and splitting (1301), into two cases.
% 16.48/4.45 |-Branch one:
% 16.48/4.45 | (1302) (all_0_114_114 = e12 & all_0_140_140 = all_0_142_142) | (all_0_115_115 = e11 & all_0_141_141 = all_0_146_146) | (all_0_116_116 = e13 & all_0_140_140 = all_0_142_142)
% 16.48/4.45 |
% 16.48/4.45 +-Applying beta-rule and splitting (1302), into two cases.
% 16.48/4.45 |-Branch one:
% 16.48/4.45 | (1303) (all_0_114_114 = e12 & all_0_140_140 = all_0_142_142) | (all_0_115_115 = e11 & all_0_141_141 = all_0_146_146)
% 16.48/4.45 |
% 16.48/4.45 +-Applying beta-rule and splitting (1303), into two cases.
% 16.48/4.45 |-Branch one:
% 16.48/4.45 | (1304) all_0_114_114 = e12 & all_0_140_140 = all_0_142_142
% 16.48/4.45 |
% 16.48/4.45 | Applying alpha-rule on (1304) yields:
% 16.48/4.45 | (1305) all_0_114_114 = e12
% 16.48/4.45 | (1306) all_0_140_140 = all_0_142_142
% 16.48/4.45 |
% 16.48/4.45 | Combining equations (1306,1201) yields a new equation:
% 16.48/4.45 | (1307) all_0_142_142 = e13
% 16.48/4.45 |
% 16.48/4.45 | Simplifying 1307 yields:
% 16.48/4.45 | (1203) all_0_142_142 = e13
% 16.48/4.45 |
% 16.48/4.45 | Combining equations (1203,1285) yields a new equation:
% 16.48/4.45 | (1309) e13 = e12
% 16.48/4.45 |
% 16.48/4.45 | Simplifying 1309 yields:
% 16.48/4.45 | (1310) e13 = e12
% 16.48/4.45 |
% 16.48/4.45 | Equations (1310) can reduce 300 to:
% 16.48/4.45 | (397) $false
% 16.48/4.45 |
% 16.48/4.45 |-The branch is then unsatisfiable
% 16.48/4.45 |-Branch two:
% 16.48/4.45 | (1312) all_0_115_115 = e11 & all_0_141_141 = all_0_146_146
% 16.48/4.45 |
% 16.48/4.45 | Applying alpha-rule on (1312) yields:
% 16.48/4.45 | (1313) all_0_115_115 = e11
% 16.48/4.45 | (1314) all_0_141_141 = all_0_146_146
% 16.48/4.45 |
% 16.48/4.45 | Combining equations (1313,1159) yields a new equation:
% 16.48/4.45 | (1210) e11 = e10
% 16.48/4.45 |
% 16.48/4.45 | Simplifying 1210 yields:
% 16.48/4.45 | (1211) e11 = e10
% 16.48/4.45 |
% 16.48/4.45 | Equations (1211) can reduce 308 to:
% 16.48/4.45 | (397) $false
% 16.48/4.45 |
% 16.48/4.45 |-The branch is then unsatisfiable
% 16.48/4.45 |-Branch two:
% 16.48/4.45 | (1318) all_0_116_116 = e13 & all_0_140_140 = all_0_142_142
% 16.48/4.45 |
% 16.48/4.45 | Applying alpha-rule on (1318) yields:
% 16.48/4.45 | (1319) all_0_116_116 = e13
% 16.48/4.45 | (1306) all_0_140_140 = all_0_142_142
% 16.48/4.45 |
% 16.48/4.45 | Combining equations (1306,1201) yields a new equation:
% 16.48/4.45 | (1307) all_0_142_142 = e13
% 16.48/4.45 |
% 16.48/4.45 | Simplifying 1307 yields:
% 16.48/4.45 | (1203) all_0_142_142 = e13
% 16.48/4.45 |
% 16.48/4.45 | Combining equations (1203,1285) yields a new equation:
% 16.48/4.45 | (1309) e13 = e12
% 16.48/4.45 |
% 16.48/4.45 | Simplifying 1309 yields:
% 16.48/4.45 | (1310) e13 = e12
% 16.48/4.45 |
% 16.48/4.45 | Equations (1310) can reduce 300 to:
% 16.48/4.45 | (397) $false
% 16.48/4.45 |
% 16.48/4.45 |-The branch is then unsatisfiable
% 16.48/4.45 |-Branch two:
% 16.48/4.45 | (1326) all_0_118_118 = e11 & all_0_144_144 = all_0_147_147
% 16.48/4.45 |
% 16.48/4.45 | Applying alpha-rule on (1326) yields:
% 16.48/4.45 | (1327) all_0_118_118 = e11
% 16.48/4.45 | (1328) all_0_144_144 = all_0_147_147
% 16.48/4.45 |
% 16.48/4.45 | Combining equations (1327,1293) yields a new equation:
% 16.48/4.45 | (1232) e12 = e11
% 16.48/4.45 |
% 16.48/4.45 | Equations (1232) can reduce 321 to:
% 16.48/4.45 | (397) $false
% 16.48/4.45 |
% 16.48/4.45 |-The branch is then unsatisfiable
% 16.48/4.45 |-Branch two:
% 16.48/4.45 | (1331) all_0_119_119 = e10 & all_0_145_145 = all_0_151_151
% 16.48/4.45 |
% 16.48/4.45 | Applying alpha-rule on (1331) yields:
% 16.48/4.45 | (1332) all_0_119_119 = e10
% 16.48/4.45 | (1333) all_0_145_145 = all_0_151_151
% 16.48/4.45 |
% 16.48/4.45 | Combining equations (1333,1167) yields a new equation:
% 16.48/4.45 | (1334) all_0_151_151 = e13
% 16.48/4.45 |
% 16.48/4.45 | Simplifying 1334 yields:
% 16.48/4.45 | (1335) all_0_151_151 = e13
% 16.48/4.45 |
% 16.48/4.45 | Combining equations (1186,1335) yields a new equation:
% 16.48/4.45 | (1310) e13 = e12
% 16.48/4.45 |
% 16.48/4.45 | Equations (1310) can reduce 300 to:
% 16.48/4.45 | (397) $false
% 16.48/4.45 |
% 16.48/4.45 |-The branch is then unsatisfiable
% 16.48/4.45 |-Branch two:
% 16.48/4.45 | (1338) all_0_120_120 = e13 & all_0_141_141 = all_0_146_146
% 16.48/4.45 |
% 16.48/4.45 | Applying alpha-rule on (1338) yields:
% 16.48/4.45 | (1339) all_0_120_120 = e13
% 16.48/4.45 | (1314) all_0_141_141 = all_0_146_146
% 16.48/4.45 |
% 16.48/4.45 | Combining equations (1290,1339) yields a new equation:
% 16.48/4.45 | (1274) e13 = e11
% 16.48/4.45 |
% 16.48/4.45 | Combining equations (1147,1314) yields a new equation:
% 16.48/4.45 | (1342) all_0_146_146 = e10
% 16.48/4.45 |
% 16.48/4.45 | Combining equations (1342,1278) yields a new equation:
% 16.48/4.45 | (1343) e13 = e10
% 16.48/4.45 |
% 16.48/4.45 | Combining equations (1343,1274) yields a new equation:
% 16.48/4.45 | (1211) e11 = e10
% 16.48/4.45 |
% 16.48/4.45 | Equations (1211) can reduce 308 to:
% 16.48/4.45 | (397) $false
% 16.48/4.45 |
% 16.48/4.45 |-The branch is then unsatisfiable
% 16.48/4.45 |-Branch two:
% 16.48/4.45 | (1346) all_0_121_121 = e12 & all_0_144_144 = all_0_147_147
% 16.48/4.45 |
% 16.48/4.46 | Applying alpha-rule on (1346) yields:
% 16.48/4.46 | (1347) all_0_121_121 = e12
% 16.48/4.46 | (1328) all_0_144_144 = all_0_147_147
% 16.48/4.46 |
% 16.48/4.46 | Combining equations (1292,1347) yields a new equation:
% 16.48/4.46 | (1232) e12 = e11
% 16.48/4.46 |
% 16.48/4.46 | Equations (1232) can reduce 321 to:
% 16.48/4.46 | (397) $false
% 16.48/4.46 |
% 16.48/4.46 |-The branch is then unsatisfiable
% 16.48/4.46 |-Branch two:
% 16.48/4.46 | (1351) all_0_123_123 = e10 & all_0_149_149 = e13
% 16.48/4.46 |
% 16.48/4.46 | Applying alpha-rule on (1351) yields:
% 16.48/4.46 | (1352) all_0_123_123 = e10
% 16.48/4.46 | (1353) all_0_149_149 = e13
% 16.48/4.46 |
% 16.48/4.46 | Combining equations (1171,1352) yields a new equation:
% 16.48/4.46 | (1210) e11 = e10
% 16.48/4.46 |
% 16.48/4.46 | Simplifying 1210 yields:
% 16.48/4.46 | (1211) e11 = e10
% 16.48/4.46 |
% 16.48/4.46 | Equations (1211) can reduce 308 to:
% 16.48/4.46 | (397) $false
% 16.48/4.46 |
% 16.48/4.46 |-The branch is then unsatisfiable
% 16.48/4.46 |-Branch two:
% 16.48/4.46 | (1357) all_0_124_124 = e13 & all_0_150_150 = e12
% 16.48/4.46 |
% 16.48/4.46 | Applying alpha-rule on (1357) yields:
% 16.48/4.46 | (1358) all_0_124_124 = e13
% 16.48/4.46 | (1359) all_0_150_150 = e12
% 16.48/4.46 |
% 16.48/4.46 | Combining equations (1176,1359) yields a new equation:
% 16.48/4.46 | (1360) e12 = e10
% 16.48/4.46 |
% 16.48/4.46 | Equations (1360) can reduce 170 to:
% 16.48/4.46 | (397) $false
% 16.48/4.46 |
% 16.48/4.46 |-The branch is then unsatisfiable
% 16.48/4.46 |-Branch two:
% 16.48/4.46 | (1362) all_0_125_125 = e12 & all_0_145_145 = all_0_151_151
% 16.48/4.46 |
% 16.48/4.46 | Applying alpha-rule on (1362) yields:
% 16.48/4.46 | (1363) all_0_125_125 = e12
% 16.48/4.46 | (1333) all_0_145_145 = all_0_151_151
% 16.48/4.46 |
% 16.48/4.46 | Combining equations (1291,1363) yields a new equation:
% 16.48/4.46 | (1360) e12 = e10
% 16.48/4.46 |
% 16.48/4.46 | Equations (1360) can reduce 170 to:
% 16.48/4.46 | (397) $false
% 16.48/4.46 |
% 16.48/4.46 |-The branch is then unsatisfiable
% 16.48/4.46 |-Branch two:
% 16.48/4.46 | (1367) all_0_146_146 = e11 & all_0_149_149 = e13
% 16.48/4.46 |
% 16.48/4.46 | Applying alpha-rule on (1367) yields:
% 16.48/4.46 | (1207) all_0_146_146 = e11
% 16.48/4.46 | (1353) all_0_149_149 = e13
% 16.48/4.46 |
% 16.48/4.46 | Combining equations (1207,1278) yields a new equation:
% 16.48/4.46 | (1274) e13 = e11
% 16.48/4.46 |
% 16.48/4.46 | Combining equations (1353,1158) yields a new equation:
% 16.48/4.46 | (1371) e13 = e10
% 16.48/4.46 |
% 16.48/4.46 | Simplifying 1371 yields:
% 16.48/4.46 | (1343) e13 = e10
% 16.48/4.46 |
% 16.48/4.46 | Combining equations (1274,1343) yields a new equation:
% 16.48/4.46 | (1210) e11 = e10
% 16.48/4.46 |
% 16.48/4.46 | Simplifying 1210 yields:
% 16.48/4.46 | (1211) e11 = e10
% 16.48/4.46 |
% 16.48/4.46 | Equations (1211) can reduce 308 to:
% 16.48/4.46 | (397) $false
% 16.48/4.46 |
% 16.48/4.46 |-The branch is then unsatisfiable
% 16.48/4.46 |-Branch two:
% 16.48/4.46 | (1376) all_0_150_150 = e12 & all_0_151_151 = e10
% 16.48/4.46 |
% 16.48/4.46 | Applying alpha-rule on (1376) yields:
% 16.48/4.46 | (1359) all_0_150_150 = e12
% 16.48/4.46 | (1183) all_0_151_151 = e10
% 16.48/4.46 |
% 16.48/4.46 | Combining equations (1183,1186) yields a new equation:
% 16.48/4.46 | (1360) e12 = e10
% 16.48/4.46 |
% 16.48/4.46 | Equations (1360) can reduce 170 to:
% 16.48/4.46 | (397) $false
% 16.48/4.46 |
% 16.48/4.46 |-The branch is then unsatisfiable
% 16.48/4.46 |-Branch two:
% 16.48/4.46 | (1381) ~ (all_0_142_142 = e12)
% 16.48/4.46 | (1382) all_0_143_143 = e12 | all_0_144_144 = e12
% 16.48/4.46 |
% 16.48/4.46 +-Applying beta-rule and splitting (1382), into two cases.
% 16.48/4.46 |-Branch one:
% 16.48/4.46 | (1383) all_0_143_143 = e12
% 16.48/4.46 |
% 16.48/4.46 | Combining equations (1252,1383) yields a new equation:
% 16.48/4.46 | (1360) e12 = e10
% 16.48/4.46 |
% 16.48/4.46 | Equations (1360) can reduce 170 to:
% 16.48/4.46 | (397) $false
% 16.48/4.46 |
% 16.48/4.46 |-The branch is then unsatisfiable
% 16.48/4.46 |-Branch two:
% 16.48/4.46 | (1187) ~ (all_0_143_143 = e12)
% 16.48/4.46 | (1218) all_0_144_144 = e12
% 16.48/4.46 |
% 16.48/4.46 | Combining equations (1218,1221) yields a new equation:
% 16.48/4.46 | (1388) e12 = e11
% 16.48/4.46 |
% 16.48/4.46 | Simplifying 1388 yields:
% 16.48/4.46 | (1232) e12 = e11
% 16.48/4.46 |
% 16.48/4.46 | Equations (1232) can reduce 321 to:
% 16.48/4.46 | (397) $false
% 16.48/4.46 |
% 16.48/4.46 |-The branch is then unsatisfiable
% 16.48/4.46 |-Branch two:
% 16.48/4.46 | (1391) ~ (all_0_146_146 = e13)
% 16.48/4.46 | (1392) all_0_147_147 = e13 | all_0_149_149 = e13
% 16.48/4.46 |
% 16.48/4.46 +-Applying beta-rule and splitting (147), into two cases.
% 16.48/4.46 |-Branch one:
% 16.48/4.46 | (1285) all_0_142_142 = e12
% 16.48/4.46 |
% 16.48/4.46 | Equations (1285) can reduce 1168 to:
% 16.48/4.46 | (1286) ~ (e13 = e12)
% 16.48/4.46 |
% 16.48/4.46 | Simplifying 1286 yields:
% 16.48/4.46 | (300) ~ (e13 = e12)
% 16.48/4.46 |
% 16.48/4.46 +-Applying beta-rule and splitting (1277), into two cases.
% 16.48/4.46 |-Branch one:
% 16.48/4.46 | (1203) all_0_142_142 = e13
% 16.48/4.46 |
% 16.48/4.46 | Combining equations (1285,1203) yields a new equation:
% 16.48/4.46 | (1310) e13 = e12
% 16.48/4.46 |
% 16.48/4.46 | Equations (1310) can reduce 300 to:
% 16.48/4.46 | (397) $false
% 16.48/4.46 |
% 16.48/4.46 |-The branch is then unsatisfiable
% 16.48/4.46 |-Branch two:
% 16.48/4.46 | (1168) ~ (all_0_142_142 = e13)
% 16.48/4.46 | (1278) all_0_146_146 = e13
% 16.48/4.46 |
% 16.48/4.46 | Equations (1278) can reduce 1391 to:
% 16.48/4.46 | (397) $false
% 16.48/4.46 |
% 16.48/4.46 |-The branch is then unsatisfiable
% 16.48/4.46 |-Branch two:
% 16.48/4.46 | (1381) ~ (all_0_142_142 = e12)
% 16.78/4.46 | (1382) all_0_143_143 = e12 | all_0_144_144 = e12
% 16.78/4.46 |
% 16.78/4.46 +-Applying beta-rule and splitting (117), into two cases.
% 16.78/4.46 |-Branch one:
% 16.78/4.46 | (1285) all_0_142_142 = e12
% 16.78/4.46 |
% 16.78/4.46 | Equations (1285) can reduce 1381 to:
% 16.78/4.46 | (397) $false
% 16.78/4.46 |
% 16.78/4.46 |-The branch is then unsatisfiable
% 16.78/4.46 |-Branch two:
% 16.78/4.46 | (1381) ~ (all_0_142_142 = e12)
% 16.78/4.46 | (1407) all_0_146_146 = e12 | all_0_150_150 = e12
% 16.78/4.46 |
% 16.78/4.46 +-Applying beta-rule and splitting (1407), into two cases.
% 16.78/4.46 |-Branch one:
% 16.78/4.46 | (1408) all_0_146_146 = e12
% 16.78/4.46 |
% 16.78/4.46 | Equations (1408) can reduce 1236 to:
% 16.78/4.46 | (397) $false
% 16.78/4.46 |
% 16.78/4.46 |-The branch is then unsatisfiable
% 16.78/4.46 |-Branch two:
% 16.78/4.46 | (1236) ~ (all_0_146_146 = e12)
% 16.78/4.46 | (1359) all_0_150_150 = e12
% 16.78/4.46 |
% 16.78/4.46 | Combining equations (1359,1176) yields a new equation:
% 16.78/4.46 | (1412) e12 = e10
% 16.78/4.46 |
% 16.78/4.46 | Simplifying 1412 yields:
% 16.78/4.46 | (1360) e12 = e10
% 16.78/4.46 |
% 16.78/4.46 | Equations (1360) can reduce 170 to:
% 16.78/4.46 | (397) $false
% 16.78/4.46 |
% 16.78/4.46 |-The branch is then unsatisfiable
% 16.78/4.46 |-Branch two:
% 16.78/4.46 | (1415) ~ (all_0_139_139 = e11)
% 16.78/4.46 | (1416) all_0_140_140 = e11 | all_0_141_141 = e11
% 16.78/4.46 |
% 16.78/4.46 +-Applying beta-rule and splitting (1416), into two cases.
% 16.78/4.46 |-Branch one:
% 16.78/4.46 | (1246) all_0_140_140 = e11
% 16.78/4.46 |
% 16.78/4.46 | Combining equations (1246,1201) yields a new equation:
% 16.78/4.46 | (1274) e13 = e11
% 16.78/4.46 |
% 16.78/4.46 | Equations (1274) can reduce 363 to:
% 16.78/4.46 | (397) $false
% 16.78/4.46 |
% 16.78/4.46 |-The branch is then unsatisfiable
% 16.78/4.46 |-Branch two:
% 16.78/4.46 | (1224) ~ (all_0_140_140 = e11)
% 16.78/4.46 | (1206) all_0_141_141 = e11
% 16.78/4.46 |
% 16.78/4.46 | Combining equations (1147,1206) yields a new equation:
% 16.78/4.46 | (1211) e11 = e10
% 16.78/4.46 |
% 16.78/4.46 | Equations (1211) can reduce 308 to:
% 16.78/4.46 | (397) $false
% 16.78/4.46 |
% 16.78/4.46 |-The branch is then unsatisfiable
% 16.78/4.46 |-Branch two:
% 16.78/4.46 | (1424) ~ (all_0_143_143 = e10)
% 16.78/4.46 | (1425) all_0_147_147 = e10 | all_0_151_151 = e10
% 16.78/4.46 |
% 16.78/4.46 +-Applying beta-rule and splitting (220), into two cases.
% 16.78/4.46 |-Branch one:
% 16.78/4.46 | (1263) all_0_139_139 = e11
% 16.78/4.46 |
% 16.78/4.46 | Equations (1263) can reduce 235 to:
% 16.78/4.46 | (1264) ~ (all_0_142_142 = e11)
% 16.78/4.46 |
% 16.78/4.46 | Simplifying 1264 yields:
% 16.78/4.46 | (1265) ~ (all_0_142_142 = e11)
% 16.78/4.46 |
% 16.78/4.46 | Equations (1263) can reduce 1177 to:
% 16.78/4.46 | (308) ~ (e11 = e10)
% 16.78/4.46 |
% 16.78/4.46 +-Applying beta-rule and splitting (117), into two cases.
% 16.78/4.46 |-Branch one:
% 16.78/4.46 | (1285) all_0_142_142 = e12
% 16.78/4.46 |
% 16.78/4.46 | Equations (1285) can reduce 1178 to:
% 16.78/4.46 | (170) ~ (e12 = e10)
% 16.78/4.46 |
% 16.78/4.46 +-Applying beta-rule and splitting (1425), into two cases.
% 16.78/4.46 |-Branch one:
% 16.78/4.46 | (1432) all_0_147_147 = e10
% 16.78/4.46 |
% 16.78/4.46 | Combining equations (1432,1222) yields a new equation:
% 16.78/4.46 | (1211) e11 = e10
% 16.78/4.46 |
% 16.78/4.46 | Equations (1211) can reduce 308 to:
% 16.78/4.46 | (397) $false
% 16.78/4.46 |
% 16.78/4.46 |-The branch is then unsatisfiable
% 16.78/4.46 |-Branch two:
% 16.78/4.47 | (1435) ~ (all_0_147_147 = e10)
% 16.78/4.47 | (1183) all_0_151_151 = e10
% 16.78/4.47 |
% 16.78/4.47 | Combining equations (1186,1183) yields a new equation:
% 16.78/4.47 | (1412) e12 = e10
% 16.78/4.47 |
% 16.78/4.47 | Simplifying 1412 yields:
% 16.78/4.47 | (1360) e12 = e10
% 16.78/4.47 |
% 16.78/4.47 | Equations (1360) can reduce 170 to:
% 16.78/4.47 | (397) $false
% 16.78/4.47 |
% 16.78/4.47 |-The branch is then unsatisfiable
% 16.78/4.47 |-Branch two:
% 16.78/4.47 | (1381) ~ (all_0_142_142 = e12)
% 16.78/4.47 | (1407) all_0_146_146 = e12 | all_0_150_150 = e12
% 16.78/4.47 |
% 16.78/4.47 +-Applying beta-rule and splitting (11), into two cases.
% 16.78/4.47 |-Branch one:
% 16.78/4.47 | (1191) all_0_142_142 = e10
% 16.78/4.47 |
% 16.78/4.47 | Equations (1191) can reduce 1178 to:
% 16.78/4.47 | (397) $false
% 16.78/4.47 |
% 16.78/4.47 |-The branch is then unsatisfiable
% 16.78/4.47 |-Branch two:
% 16.78/4.47 | (1178) ~ (all_0_142_142 = e10)
% 16.78/4.47 | (1262) all_0_142_142 = e13 | all_0_142_142 = e12 | all_0_142_142 = e11
% 16.78/4.47 |
% 16.78/4.47 +-Applying beta-rule and splitting (1262), into two cases.
% 16.78/4.47 |-Branch one:
% 16.78/4.47 | (1281) all_0_142_142 = e11
% 16.78/4.47 |
% 16.78/4.47 | Equations (1281) can reduce 1265 to:
% 16.78/4.47 | (397) $false
% 16.78/4.47 |
% 16.78/4.47 |-The branch is then unsatisfiable
% 16.78/4.47 |-Branch two:
% 16.78/4.47 | (1265) ~ (all_0_142_142 = e11)
% 16.78/4.47 | (1284) all_0_142_142 = e13 | all_0_142_142 = e12
% 16.78/4.47 |
% 16.78/4.47 +-Applying beta-rule and splitting (147), into two cases.
% 16.78/4.47 |-Branch one:
% 16.78/4.47 | (1285) all_0_142_142 = e12
% 16.78/4.47 |
% 16.78/4.47 | Equations (1285) can reduce 1381 to:
% 16.78/4.47 | (397) $false
% 16.78/4.47 |
% 16.78/4.47 |-The branch is then unsatisfiable
% 16.78/4.47 |-Branch two:
% 16.78/4.47 | (1381) ~ (all_0_142_142 = e12)
% 16.78/4.47 | (1382) all_0_143_143 = e12 | all_0_144_144 = e12
% 16.78/4.47 |
% 16.78/4.47 +-Applying beta-rule and splitting (1284), into two cases.
% 16.78/4.47 |-Branch one:
% 16.78/4.47 | (1285) all_0_142_142 = e12
% 16.78/4.47 |
% 16.78/4.47 | Equations (1285) can reduce 1381 to:
% 16.78/4.47 | (397) $false
% 16.78/4.47 |
% 16.78/4.47 |-The branch is then unsatisfiable
% 16.78/4.47 |-Branch two:
% 16.78/4.47 | (1381) ~ (all_0_142_142 = e12)
% 16.78/4.47 | (1203) all_0_142_142 = e13
% 16.78/4.47 |
% 16.78/4.47 | Equations (1203) can reduce 1168 to:
% 16.78/4.47 | (397) $false
% 16.78/4.47 |
% 16.78/4.47 |-The branch is then unsatisfiable
% 16.78/4.47 |-Branch two:
% 16.78/4.47 | (1415) ~ (all_0_139_139 = e11)
% 16.78/4.47 | (1416) all_0_140_140 = e11 | all_0_141_141 = e11
% 16.78/4.47 |
% 16.78/4.47 +-Applying beta-rule and splitting (105), into two cases.
% 16.78/4.47 |-Branch one:
% 16.78/4.47 | (1461) all_0_139_139 = e10
% 16.78/4.47 |
% 16.78/4.47 | Equations (1461) can reduce 1177 to:
% 16.78/4.47 | (397) $false
% 16.78/4.47 |
% 16.78/4.47 |-The branch is then unsatisfiable
% 16.78/4.47 |-Branch two:
% 16.78/4.47 | (1177) ~ (all_0_139_139 = e10)
% 16.78/4.47 | (1464) all_0_139_139 = e13 | all_0_139_139 = e11
% 16.78/4.47 |
% 16.78/4.47 +-Applying beta-rule and splitting (42), into two cases.
% 16.78/4.47 |-Branch one:
% 16.78/4.47 | (1272) all_0_139_139 = e13
% 16.78/4.47 |
% 16.78/4.47 | Equations (1272) can reduce 1200 to:
% 16.78/4.47 | (397) $false
% 16.78/4.47 |
% 16.78/4.47 |-The branch is then unsatisfiable
% 16.78/4.47 |-Branch two:
% 16.78/4.47 | (1200) ~ (all_0_139_139 = e13)
% 16.78/4.47 | (1277) all_0_142_142 = e13 | all_0_146_146 = e13
% 16.78/4.47 |
% 16.78/4.47 +-Applying beta-rule and splitting (364), into two cases.
% 16.78/4.47 |-Branch one:
% 16.78/4.47 | (1278) all_0_146_146 = e13
% 16.78/4.47 |
% 16.78/4.47 | Equations (1278) can reduce 195 to:
% 16.78/4.47 | (1200) ~ (all_0_139_139 = e13)
% 16.78/4.47 |
% 16.78/4.47 +-Applying beta-rule and splitting (58), into two cases.
% 16.78/4.47 |-Branch one:
% 16.78/4.47 | (1263) all_0_139_139 = e11
% 16.78/4.47 |
% 16.78/4.47 | Equations (1263) can reduce 1415 to:
% 16.78/4.47 | (397) $false
% 16.78/4.47 |
% 16.78/4.47 |-The branch is then unsatisfiable
% 16.78/4.47 |-Branch two:
% 16.78/4.47 | (1415) ~ (all_0_139_139 = e11)
% 16.78/4.47 | (1474) all_0_142_142 = e11 | all_0_146_146 = e11
% 16.78/4.47 |
% 16.78/4.47 +-Applying beta-rule and splitting (1464), into two cases.
% 16.78/4.47 |-Branch one:
% 16.78/4.47 | (1263) all_0_139_139 = e11
% 16.78/4.47 |
% 16.78/4.47 | Equations (1263) can reduce 1415 to:
% 16.78/4.47 | (397) $false
% 16.78/4.47 |
% 16.78/4.47 |-The branch is then unsatisfiable
% 16.78/4.47 |-Branch two:
% 16.78/4.47 | (1415) ~ (all_0_139_139 = e11)
% 16.78/4.47 | (1272) all_0_139_139 = e13
% 16.78/4.47 |
% 16.78/4.47 | Equations (1272) can reduce 1200 to:
% 16.78/4.47 | (397) $false
% 16.78/4.47 |
% 16.78/4.47 |-The branch is then unsatisfiable
% 16.78/4.47 |-Branch two:
% 16.78/4.47 | (1391) ~ (all_0_146_146 = e13)
% 16.78/4.47 | (1392) all_0_147_147 = e13 | all_0_149_149 = e13
% 16.78/4.47 |
% 16.78/4.47 +-Applying beta-rule and splitting (1277), into two cases.
% 16.78/4.47 |-Branch one:
% 16.78/4.47 | (1203) all_0_142_142 = e13
% 16.78/4.47 |
% 16.78/4.47 | Equations (1203) can reduce 1168 to:
% 16.78/4.47 | (397) $false
% 16.78/4.47 |
% 16.78/4.47 |-The branch is then unsatisfiable
% 16.78/4.47 |-Branch two:
% 16.78/4.47 | (1168) ~ (all_0_142_142 = e13)
% 16.78/4.47 | (1278) all_0_146_146 = e13
% 16.78/4.47 |
% 16.78/4.47 | Equations (1278) can reduce 1391 to:
% 16.78/4.47 | (397) $false
% 16.78/4.47 |
% 16.78/4.47 |-The branch is then unsatisfiable
% 16.78/4.47 |-Branch two:
% 16.78/4.47 | (1487) all_0_145_145 = e10 & all_0_151_151 = e10
% 16.78/4.47 |
% 16.78/4.47 | Applying alpha-rule on (1487) yields:
% 16.78/4.47 | (1164) all_0_145_145 = e10
% 16.78/4.47 | (1183) all_0_151_151 = e10
% 16.78/4.47 |
% 16.78/4.47 | Combining equations (1183,1186) yields a new equation:
% 16.78/4.47 | (1360) e12 = e10
% 16.78/4.47 |
% 16.78/4.47 | Equations (1360) can reduce 170 to:
% 16.78/4.47 | (397) $false
% 16.78/4.47 |
% 16.78/4.47 |-The branch is then unsatisfiable
% 16.78/4.47 |-Branch two:
% 16.78/4.47 | (1199) ~ (all_0_150_150 = e10)
% 16.78/4.47 | (1359) all_0_150_150 = e12
% 16.78/4.47 |
% 16.78/4.47 | Equations (1359) can reduce 322 to:
% 16.78/4.47 | (66) ~ (all_0_139_139 = e12)
% 16.78/4.47 |
% 16.78/4.47 | Equations (1359) can reduce 223 to:
% 16.78/4.47 | (321) ~ (e12 = e11)
% 16.78/4.47 |
% 16.78/4.47 | Equations (1359) can reduce 1199 to:
% 16.78/4.47 | (170) ~ (e12 = e10)
% 16.78/4.47 |
% 16.78/4.47 | From (1359) and (181) follows:
% 16.78/4.47 | (1497) h1(e12) = all_0_95_95
% 16.78/4.47 |
% 16.78/4.47 +-Applying beta-rule and splitting (245), into two cases.
% 16.78/4.47 |-Branch one:
% 16.78/4.47 | (1176) all_0_150_150 = e10
% 16.78/4.47 |
% 16.78/4.47 | Combining equations (1359,1176) yields a new equation:
% 16.78/4.47 | (1412) e12 = e10
% 16.78/4.47 |
% 16.78/4.47 | Simplifying 1412 yields:
% 16.78/4.47 | (1360) e12 = e10
% 16.78/4.47 |
% 16.78/4.47 | Equations (1360) can reduce 170 to:
% 16.78/4.47 | (397) $false
% 16.78/4.47 |
% 16.78/4.47 |-The branch is then unsatisfiable
% 16.78/4.47 |-Branch two:
% 16.78/4.47 | (1199) ~ (all_0_150_150 = e10)
% 16.78/4.47 | (1183) all_0_151_151 = e10
% 16.78/4.47 |
% 16.78/4.47 | Equations (1183) can reduce 10 to:
% 16.78/4.47 | (1148) ~ (all_0_140_140 = e10)
% 16.78/4.47 |
% 16.78/4.47 | Equations (1183) can reduce 122 to:
% 16.78/4.47 | (1424) ~ (all_0_143_143 = e10)
% 16.78/4.47 |
% 16.78/4.47 | Equations (1183) can reduce 319 to:
% 16.78/4.47 | (1435) ~ (all_0_147_147 = e10)
% 16.78/4.47 |
% 16.78/4.47 | Equations (1183) can reduce 252 to:
% 16.78/4.47 | (1507) ~ (e13 = e10)
% 16.78/4.47 |
% 16.78/4.47 | Simplifying 1507 yields:
% 16.78/4.47 | (208) ~ (e13 = e10)
% 16.78/4.47 |
% 16.78/4.47 | Equations (1183) can reduce 255 to:
% 16.78/4.47 | (1181) ~ (e11 = e10)
% 16.78/4.47 |
% 16.78/4.47 | Simplifying 1181 yields:
% 16.78/4.47 | (308) ~ (e11 = e10)
% 16.78/4.47 |
% 16.78/4.47 | From (1183) and (272) follows:
% 16.78/4.47 | (1511) h1(e10) = all_0_96_96
% 16.78/4.47 |
% 16.78/4.47 +-Applying beta-rule and splitting (12), into two cases.
% 16.78/4.47 |-Branch one:
% 16.78/4.47 | (1191) all_0_142_142 = e10
% 16.78/4.47 |
% 16.78/4.47 | Equations (1191) can reduce 1168 to:
% 16.78/4.47 | (1507) ~ (e13 = e10)
% 16.78/4.47 |
% 16.78/4.47 | Simplifying 1507 yields:
% 16.78/4.47 | (208) ~ (e13 = e10)
% 16.78/4.47 |
% 16.78/4.47 | From (1191) and (257) follows:
% 16.78/4.47 | (1515) h1(e10) = all_0_87_87
% 16.78/4.47 |
% 16.78/4.47 +-Applying beta-rule and splitting (251), into two cases.
% 16.78/4.47 |-Branch one:
% 16.78/4.47 | (1195) (all_0_140_140 = e13 & all_0_142_142 = e13 & ~ (all_0_139_139 = e13) & ~ (all_0_146_146 = e11) & ~ (all_0_150_150 = e10)) | (all_0_141_141 = e11 & all_0_146_146 = e11 & ~ (all_0_144_144 = e12) & ~ (all_0_148_148 = e11)) | (all_0_144_144 = e12 & all_0_147_147 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_151_151 = e10)) | (all_0_144_144 = e11 & all_0_147_147 = e11 & ~ (all_0_148_148 = e11))
% 16.78/4.47 |
% 16.78/4.47 +-Applying beta-rule and splitting (1195), into two cases.
% 16.78/4.47 |-Branch one:
% 16.78/4.47 | (1196) (all_0_140_140 = e13 & all_0_142_142 = e13 & ~ (all_0_139_139 = e13) & ~ (all_0_146_146 = e11) & ~ (all_0_150_150 = e10)) | (all_0_141_141 = e11 & all_0_146_146 = e11 & ~ (all_0_144_144 = e12) & ~ (all_0_148_148 = e11)) | (all_0_144_144 = e12 & all_0_147_147 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_151_151 = e10))
% 16.78/4.48 |
% 16.78/4.48 +-Applying beta-rule and splitting (1196), into two cases.
% 16.78/4.48 |-Branch one:
% 16.78/4.48 | (1197) (all_0_140_140 = e13 & all_0_142_142 = e13 & ~ (all_0_139_139 = e13) & ~ (all_0_146_146 = e11) & ~ (all_0_150_150 = e10)) | (all_0_141_141 = e11 & all_0_146_146 = e11 & ~ (all_0_144_144 = e12) & ~ (all_0_148_148 = e11))
% 16.78/4.48 |
% 16.78/4.48 +-Applying beta-rule and splitting (1197), into two cases.
% 16.78/4.48 |-Branch one:
% 16.78/4.48 | (1198) all_0_140_140 = e13 & all_0_142_142 = e13 & ~ (all_0_139_139 = e13) & ~ (all_0_146_146 = e11) & ~ (all_0_150_150 = e10)
% 16.78/4.48 |
% 16.78/4.48 | Applying alpha-rule on (1198) yields:
% 16.78/4.48 | (1199) ~ (all_0_150_150 = e10)
% 16.78/4.48 | (1200) ~ (all_0_139_139 = e13)
% 16.78/4.48 | (1201) all_0_140_140 = e13
% 16.78/4.48 | (1202) ~ (all_0_146_146 = e11)
% 16.78/4.48 | (1203) all_0_142_142 = e13
% 16.78/4.48 |
% 16.78/4.48 | Combining equations (1191,1203) yields a new equation:
% 16.78/4.48 | (1343) e13 = e10
% 16.78/4.48 |
% 16.78/4.48 | Equations (1343) can reduce 208 to:
% 16.78/4.48 | (397) $false
% 16.78/4.48 |
% 16.78/4.48 |-The branch is then unsatisfiable
% 16.78/4.48 |-Branch two:
% 16.78/4.48 | (1205) all_0_141_141 = e11 & all_0_146_146 = e11 & ~ (all_0_144_144 = e12) & ~ (all_0_148_148 = e11)
% 16.78/4.48 |
% 16.78/4.48 | Applying alpha-rule on (1205) yields:
% 16.78/4.48 | (1206) all_0_141_141 = e11
% 16.78/4.48 | (1207) all_0_146_146 = e11
% 16.78/4.48 | (1208) ~ (all_0_144_144 = e12)
% 16.78/4.48 | (1209) ~ (all_0_148_148 = e11)
% 16.78/4.48 |
% 16.78/4.48 | Combining equations (1147,1206) yields a new equation:
% 16.78/4.48 | (1211) e11 = e10
% 16.78/4.48 |
% 16.78/4.48 | Equations (1211) can reduce 308 to:
% 16.78/4.48 | (397) $false
% 16.78/4.48 |
% 16.78/4.48 |-The branch is then unsatisfiable
% 16.78/4.48 |-Branch two:
% 16.78/4.48 | (1213) all_0_144_144 = e12 & all_0_147_147 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_151_151 = e10)
% 16.78/4.48 |
% 16.78/4.48 | Applying alpha-rule on (1213) yields:
% 16.78/4.48 | (1180) ~ (all_0_151_151 = e10)
% 16.78/4.48 | (1215) all_0_147_147 = e12
% 16.78/4.48 | (1187) ~ (all_0_143_143 = e12)
% 16.78/4.48 | (1217) ~ (all_0_140_140 = e13)
% 16.78/4.48 | (1218) all_0_144_144 = e12
% 16.78/4.48 |
% 16.78/4.48 | Equations (1183) can reduce 1180 to:
% 16.78/4.48 | (397) $false
% 16.78/4.48 |
% 16.78/4.48 |-The branch is then unsatisfiable
% 16.78/4.48 |-Branch two:
% 16.78/4.48 | (1220) all_0_144_144 = e11 & all_0_147_147 = e11 & ~ (all_0_148_148 = e11)
% 16.78/4.48 |
% 16.78/4.48 | Applying alpha-rule on (1220) yields:
% 16.78/4.48 | (1221) all_0_144_144 = e11
% 16.78/4.48 | (1222) all_0_147_147 = e11
% 16.78/4.48 | (1209) ~ (all_0_148_148 = e11)
% 16.78/4.48 |
% 16.78/4.48 | Equations (1222) can reduce 75 to:
% 16.78/4.48 | (1224) ~ (all_0_140_140 = e11)
% 16.78/4.48 |
% 16.78/4.48 | Equations (1221) can reduce 104 to:
% 16.78/4.48 | (1266) ~ (e13 = e11)
% 16.78/4.48 |
% 16.78/4.48 | Simplifying 1266 yields:
% 16.78/4.48 | (363) ~ (e13 = e11)
% 16.78/4.48 |
% 16.78/4.48 | Equations (1222) can reduce 1435 to:
% 16.78/4.48 | (308) ~ (e11 = e10)
% 16.78/4.48 |
% 16.78/4.48 | From (1221) and (17) follows:
% 16.78/4.48 | (1549) h1(e11) = all_0_89_89
% 16.78/4.48 |
% 16.78/4.48 | From (1222) and (130) follows:
% 16.78/4.48 | (1550) h1(e11) = all_0_92_92
% 16.78/4.48 |
% 16.78/4.48 +-Applying beta-rule and splitting (169), into two cases.
% 16.78/4.48 |-Branch one:
% 16.78/4.48 | (1218) all_0_144_144 = e12
% 16.78/4.48 |
% 16.78/4.48 | Combining equations (1218,1221) yields a new equation:
% 16.78/4.48 | (1388) e12 = e11
% 16.78/4.48 |
% 16.78/4.48 | Simplifying 1388 yields:
% 16.78/4.48 | (1232) e12 = e11
% 16.78/4.48 |
% 16.78/4.48 | Equations (1232) can reduce 321 to:
% 16.78/4.48 | (397) $false
% 16.78/4.48 |
% 16.78/4.48 |-The branch is then unsatisfiable
% 16.78/4.48 |-Branch two:
% 16.78/4.48 | (1208) ~ (all_0_144_144 = e12)
% 16.78/4.48 | (1235) all_0_148_148 = e12
% 16.78/4.48 |
% 16.78/4.48 | Equations (1235) can reduce 1152 to:
% 16.78/4.48 | (170) ~ (e12 = e10)
% 16.78/4.48 |
% 16.78/4.48 | From (1235) and (67) follows:
% 16.78/4.48 | (1558) h1(e12) = all_0_93_93
% 16.78/4.48 |
% 16.78/4.48 +-Applying beta-rule and splitting (273), into two cases.
% 16.78/4.48 |-Branch one:
% 16.78/4.48 | (1238) all_0_140_140 = e10
% 16.78/4.48 |
% 16.78/4.48 | Equations (1238) can reduce 1148 to:
% 16.78/4.48 | (397) $false
% 16.78/4.48 |
% 16.78/4.48 |-The branch is then unsatisfiable
% 16.78/4.48 |-Branch two:
% 16.78/4.48 | (1148) ~ (all_0_140_140 = e10)
% 16.78/4.48 | (1241) all_0_140_140 = e13 | all_0_140_140 = e11
% 16.78/4.48 |
% 16.78/4.48 +-Applying beta-rule and splitting (147), into two cases.
% 16.78/4.48 |-Branch one:
% 16.78/4.48 | (1285) all_0_142_142 = e12
% 16.78/4.48 |
% 16.78/4.48 | Combining equations (1191,1285) yields a new equation:
% 16.78/4.48 | (1360) e12 = e10
% 16.78/4.48 |
% 16.78/4.48 | Equations (1360) can reduce 170 to:
% 16.78/4.48 | (397) $false
% 16.78/4.48 |
% 16.78/4.48 |-The branch is then unsatisfiable
% 16.78/4.48 |-Branch two:
% 16.78/4.48 | (1381) ~ (all_0_142_142 = e12)
% 16.78/4.48 | (1382) all_0_143_143 = e12 | all_0_144_144 = e12
% 16.78/4.48 |
% 16.78/4.48 +-Applying beta-rule and splitting (220), into two cases.
% 16.78/4.48 |-Branch one:
% 16.78/4.48 | (1263) all_0_139_139 = e11
% 16.78/4.48 |
% 16.78/4.48 | Equations (1263) can reduce 125 to:
% 16.78/4.48 | (1569) ~ (all_0_140_140 = e11)
% 16.78/4.48 |
% 16.78/4.48 | Simplifying 1569 yields:
% 16.78/4.48 | (1224) ~ (all_0_140_140 = e11)
% 16.78/4.48 |
% 16.78/4.48 | Equations (1263) can reduce 66 to:
% 16.78/4.48 | (1226) ~ (e12 = e11)
% 16.78/4.48 |
% 16.78/4.48 | Simplifying 1226 yields:
% 16.78/4.48 | (321) ~ (e12 = e11)
% 16.78/4.48 |
% 16.78/4.48 | From (1263) and (100) follows:
% 16.78/4.48 | (1573) h1(e11) = all_0_84_84
% 16.78/4.48 |
% 16.78/4.48 +-Applying beta-rule and splitting (27), into two cases.
% 16.78/4.48 |-Branch one:
% 16.78/4.48 | (1272) all_0_139_139 = e13
% 16.78/4.48 |
% 16.78/4.48 | Combining equations (1263,1272) yields a new equation:
% 16.78/4.48 | (1274) e13 = e11
% 16.78/4.48 |
% 16.78/4.48 | Equations (1274) can reduce 363 to:
% 16.78/4.48 | (397) $false
% 16.78/4.48 |
% 16.78/4.48 |-The branch is then unsatisfiable
% 16.78/4.48 |-Branch two:
% 16.78/4.48 | (1200) ~ (all_0_139_139 = e13)
% 16.78/4.48 | (1201) all_0_140_140 = e13
% 16.78/4.48 |
% 16.78/4.48 | Equations (1201) can reduce 1224 to:
% 16.78/4.48 | (363) ~ (e13 = e11)
% 16.78/4.48 |
% 16.78/4.48 | Equations (1201) can reduce 1148 to:
% 16.78/4.48 | (208) ~ (e13 = e10)
% 16.78/4.48 |
% 16.78/4.48 | From (1201) and (5) follows:
% 16.78/4.48 | (1581) h1(e13) = all_0_85_85
% 16.78/4.48 |
% 16.78/4.48 +-Applying beta-rule and splitting (383), into two cases.
% 16.78/4.48 |-Branch one:
% 16.78/4.48 | (1383) all_0_143_143 = e12
% 16.78/4.48 |
% 16.78/4.48 | From (1383) and (143) follows:
% 16.85/4.48 | (1583) h1(e12) = all_0_88_88
% 16.85/4.48 |
% 16.85/4.48 +-Applying beta-rule and splitting (42), into two cases.
% 16.85/4.48 |-Branch one:
% 16.85/4.48 | (1272) all_0_139_139 = e13
% 16.85/4.48 |
% 16.85/4.48 | Combining equations (1263,1272) yields a new equation:
% 16.85/4.48 | (1274) e13 = e11
% 16.85/4.48 |
% 16.85/4.48 | Equations (1274) can reduce 363 to:
% 16.85/4.48 | (397) $false
% 16.85/4.48 |
% 16.85/4.48 |-The branch is then unsatisfiable
% 16.85/4.48 |-Branch two:
% 16.85/4.48 | (1200) ~ (all_0_139_139 = e13)
% 16.85/4.48 | (1277) all_0_142_142 = e13 | all_0_146_146 = e13
% 16.85/4.48 |
% 16.85/4.48 +-Applying beta-rule and splitting (364), into two cases.
% 16.85/4.48 |-Branch one:
% 16.85/4.48 | (1278) all_0_146_146 = e13
% 16.85/4.48 |
% 16.85/4.48 | From (1278) and (200) follows:
% 16.85/4.48 | (1590) h1(e13) = all_0_91_91
% 16.85/4.48 |
% 16.85/4.48 | Instantiating formula (202) with e13, all_0_85_85, e23 and discharging atoms h1(e13) = all_0_85_85, h1(e13) = e23, yields:
% 16.85/4.48 | (1591) all_0_85_85 = e23
% 16.85/4.48 |
% 16.85/4.48 | Instantiating formula (202) with e13, all_0_91_91, all_0_85_85 and discharging atoms h1(e13) = all_0_85_85, h1(e13) = all_0_91_91, yields:
% 16.85/4.48 | (1592) all_0_85_85 = all_0_91_91
% 16.85/4.48 |
% 16.85/4.48 | Instantiating formula (202) with e12, all_0_88_88, e22 and discharging atoms h1(e12) = all_0_88_88, h1(e12) = e22, yields:
% 16.85/4.48 | (1593) all_0_88_88 = e22
% 16.85/4.48 |
% 16.85/4.48 | Instantiating formula (202) with e12, all_0_93_93, all_0_88_88 and discharging atoms h1(e12) = all_0_88_88, h1(e12) = all_0_93_93, yields:
% 16.85/4.48 | (1594) all_0_88_88 = all_0_93_93
% 16.85/4.48 |
% 16.85/4.48 | Instantiating formula (202) with e12, all_0_95_95, all_0_88_88 and discharging atoms h1(e12) = all_0_88_88, h1(e12) = all_0_95_95, yields:
% 16.85/4.48 | (1595) all_0_88_88 = all_0_95_95
% 16.85/4.48 |
% 16.85/4.48 | Instantiating formula (202) with e11, all_0_84_84, e21 and discharging atoms h1(e11) = all_0_84_84, h1(e11) = e21, yields:
% 16.85/4.48 | (1596) all_0_84_84 = e21
% 16.85/4.48 |
% 16.85/4.48 | Instantiating formula (202) with e11, all_0_89_89, all_0_84_84 and discharging atoms h1(e11) = all_0_84_84, h1(e11) = all_0_89_89, yields:
% 16.85/4.48 | (1597) all_0_84_84 = all_0_89_89
% 16.85/4.48 |
% 16.85/4.48 | Instantiating formula (202) with e11, all_0_92_92, all_0_89_89 and discharging atoms h1(e11) = all_0_89_89, h1(e11) = all_0_92_92, yields:
% 16.85/4.48 | (1598) all_0_89_89 = all_0_92_92
% 16.85/4.48 |
% 16.85/4.48 | Instantiating formula (202) with e10, all_0_87_87, e20 and discharging atoms h1(e10) = all_0_87_87, h1(e10) = e20, yields:
% 16.85/4.48 | (1599) all_0_87_87 = e20
% 16.85/4.48 |
% 16.85/4.48 | Instantiating formula (202) with e10, all_0_96_96, all_0_87_87 and discharging atoms h1(e10) = all_0_87_87, h1(e10) = all_0_96_96, yields:
% 16.85/4.49 | (1600) all_0_87_87 = all_0_96_96
% 16.85/4.49 |
% 16.85/4.49 | Combining equations (1597,1596) yields a new equation:
% 16.85/4.49 | (1601) all_0_89_89 = e21
% 16.85/4.49 |
% 16.85/4.49 | Simplifying 1601 yields:
% 16.85/4.49 | (1602) all_0_89_89 = e21
% 16.85/4.49 |
% 16.85/4.49 | Combining equations (1591,1592) yields a new equation:
% 16.85/4.49 | (1603) all_0_91_91 = e23
% 16.85/4.49 |
% 16.85/4.49 | Combining equations (1600,1599) yields a new equation:
% 16.85/4.49 | (1604) all_0_96_96 = e20
% 16.85/4.49 |
% 16.85/4.49 | Simplifying 1604 yields:
% 16.85/4.49 | (1605) all_0_96_96 = e20
% 16.85/4.49 |
% 16.85/4.49 | Combining equations (1593,1594) yields a new equation:
% 16.85/4.49 | (1606) all_0_93_93 = e22
% 16.85/4.49 |
% 16.85/4.49 | Combining equations (1595,1594) yields a new equation:
% 16.85/4.49 | (1607) all_0_93_93 = all_0_95_95
% 16.85/4.49 |
% 16.85/4.49 | Combining equations (1602,1598) yields a new equation:
% 16.85/4.49 | (1608) all_0_92_92 = e21
% 16.85/4.49 |
% 16.85/4.49 | Combining equations (1607,1606) yields a new equation:
% 16.85/4.49 | (1609) all_0_95_95 = e22
% 16.85/4.49 |
% 16.85/4.49 | Simplifying 1609 yields:
% 16.85/4.49 | (1610) all_0_95_95 = e22
% 16.85/4.49 |
% 16.85/4.49 | Combining equations (1608,1598) yields a new equation:
% 16.85/4.49 | (1602) all_0_89_89 = e21
% 16.85/4.49 |
% 16.85/4.49 | Combining equations (1606,1594) yields a new equation:
% 16.85/4.49 | (1593) all_0_88_88 = e22
% 16.85/4.49 |
% 16.85/4.49 | Combining equations (1603,1592) yields a new equation:
% 16.85/4.49 | (1591) all_0_85_85 = e23
% 16.85/4.49 |
% 16.85/4.49 +-Applying beta-rule and splitting (233), into two cases.
% 16.85/4.49 |-Branch one:
% 16.85/4.49 | (1614) ~ (all_0_84_84 = all_0_126_126)
% 16.85/4.49 |
% 16.85/4.49 | Equations (1596,489) can reduce 1614 to:
% 16.85/4.49 | (397) $false
% 16.85/4.49 |
% 16.85/4.49 |-The branch is then unsatisfiable
% 16.85/4.49 |-Branch two:
% 16.85/4.49 | (1616) all_0_84_84 = all_0_126_126
% 16.85/4.49 | (1617) ~ (all_0_85_85 = all_0_127_127) | ~ (all_0_86_86 = all_0_128_128) | ~ (all_0_87_87 = all_0_129_129) | ~ (all_0_88_88 = all_0_130_130) | ~ (all_0_89_89 = all_0_131_131) | ~ (all_0_90_90 = all_0_132_132) | ~ (all_0_91_91 = all_0_133_133) | ~ (all_0_92_92 = all_0_134_134) | ~ (all_0_93_93 = all_0_135_135) | ~ (all_0_94_94 = all_0_136_136) | ~ (all_0_95_95 = all_0_137_137) | ~ (all_0_96_96 = all_0_138_138)
% 16.85/4.49 |
% 16.85/4.49 +-Applying beta-rule and splitting (1617), into two cases.
% 16.85/4.49 |-Branch one:
% 16.85/4.49 | (1618) ~ (all_0_85_85 = all_0_127_127)
% 16.85/4.49 |
% 16.85/4.49 | Equations (1591,422) can reduce 1618 to:
% 16.85/4.49 | (397) $false
% 16.85/4.49 |
% 16.85/4.49 |-The branch is then unsatisfiable
% 16.85/4.49 |-Branch two:
% 16.85/4.49 | (1620) all_0_85_85 = all_0_127_127
% 16.85/4.49 | (1621) ~ (all_0_86_86 = all_0_128_128) | ~ (all_0_87_87 = all_0_129_129) | ~ (all_0_88_88 = all_0_130_130) | ~ (all_0_89_89 = all_0_131_131) | ~ (all_0_90_90 = all_0_132_132) | ~ (all_0_91_91 = all_0_133_133) | ~ (all_0_92_92 = all_0_134_134) | ~ (all_0_93_93 = all_0_135_135) | ~ (all_0_94_94 = all_0_136_136) | ~ (all_0_95_95 = all_0_137_137) | ~ (all_0_96_96 = all_0_138_138)
% 16.85/4.49 |
% 16.85/4.49 +-Applying beta-rule and splitting (1621), into two cases.
% 16.85/4.49 |-Branch one:
% 16.85/4.49 | (1622) ~ (all_0_86_86 = all_0_128_128)
% 16.85/4.49 |
% 16.85/4.49 | Equations (1156,449) can reduce 1622 to:
% 16.85/4.49 | (397) $false
% 16.85/4.49 |
% 16.85/4.49 |-The branch is then unsatisfiable
% 16.85/4.49 |-Branch two:
% 16.85/4.49 | (1624) all_0_86_86 = all_0_128_128
% 16.85/4.49 | (1625) ~ (all_0_87_87 = all_0_129_129) | ~ (all_0_88_88 = all_0_130_130) | ~ (all_0_89_89 = all_0_131_131) | ~ (all_0_90_90 = all_0_132_132) | ~ (all_0_91_91 = all_0_133_133) | ~ (all_0_92_92 = all_0_134_134) | ~ (all_0_93_93 = all_0_135_135) | ~ (all_0_94_94 = all_0_136_136) | ~ (all_0_95_95 = all_0_137_137) | ~ (all_0_96_96 = all_0_138_138)
% 16.85/4.49 |
% 16.85/4.49 +-Applying beta-rule and splitting (1625), into two cases.
% 16.85/4.49 |-Branch one:
% 16.85/4.49 | (1626) ~ (all_0_87_87 = all_0_129_129)
% 16.85/4.49 |
% 16.85/4.49 | Equations (1599,800) can reduce 1626 to:
% 16.85/4.49 | (397) $false
% 16.85/4.49 |
% 16.85/4.49 |-The branch is then unsatisfiable
% 16.85/4.49 |-Branch two:
% 16.85/4.49 | (1628) all_0_87_87 = all_0_129_129
% 16.85/4.49 | (1629) ~ (all_0_88_88 = all_0_130_130) | ~ (all_0_89_89 = all_0_131_131) | ~ (all_0_90_90 = all_0_132_132) | ~ (all_0_91_91 = all_0_133_133) | ~ (all_0_92_92 = all_0_134_134) | ~ (all_0_93_93 = all_0_135_135) | ~ (all_0_94_94 = all_0_136_136) | ~ (all_0_95_95 = all_0_137_137) | ~ (all_0_96_96 = all_0_138_138)
% 16.85/4.49 |
% 16.85/4.49 +-Applying beta-rule and splitting (1629), into two cases.
% 16.85/4.49 |-Branch one:
% 16.85/4.49 | (1630) ~ (all_0_88_88 = all_0_130_130)
% 16.85/4.49 |
% 16.85/4.49 | Equations (1593,466) can reduce 1630 to:
% 16.85/4.49 | (397) $false
% 16.85/4.49 |
% 16.85/4.49 |-The branch is then unsatisfiable
% 16.85/4.49 |-Branch two:
% 16.85/4.49 | (1632) all_0_88_88 = all_0_130_130
% 16.85/4.49 | (1633) ~ (all_0_89_89 = all_0_131_131) | ~ (all_0_90_90 = all_0_132_132) | ~ (all_0_91_91 = all_0_133_133) | ~ (all_0_92_92 = all_0_134_134) | ~ (all_0_93_93 = all_0_135_135) | ~ (all_0_94_94 = all_0_136_136) | ~ (all_0_95_95 = all_0_137_137) | ~ (all_0_96_96 = all_0_138_138)
% 16.85/4.49 |
% 16.85/4.49 +-Applying beta-rule and splitting (1633), into two cases.
% 16.85/4.49 |-Branch one:
% 16.85/4.49 | (1634) ~ (all_0_89_89 = all_0_131_131)
% 16.85/4.49 |
% 16.85/4.49 | Equations (1602,570) can reduce 1634 to:
% 16.85/4.49 | (397) $false
% 16.85/4.49 |
% 16.85/4.49 |-The branch is then unsatisfiable
% 16.85/4.49 |-Branch two:
% 16.85/4.49 | (1636) all_0_89_89 = all_0_131_131
% 16.85/4.49 | (1637) ~ (all_0_90_90 = all_0_132_132) | ~ (all_0_91_91 = all_0_133_133) | ~ (all_0_92_92 = all_0_134_134) | ~ (all_0_93_93 = all_0_135_135) | ~ (all_0_94_94 = all_0_136_136) | ~ (all_0_95_95 = all_0_137_137) | ~ (all_0_96_96 = all_0_138_138)
% 16.85/4.49 |
% 16.85/4.49 +-Applying beta-rule and splitting (1637), into two cases.
% 16.85/4.49 |-Branch one:
% 16.85/4.49 | (1638) ~ (all_0_90_90 = all_0_132_132)
% 16.85/4.49 |
% 16.85/4.49 | Equations (1172,582) can reduce 1638 to:
% 16.85/4.49 | (397) $false
% 16.85/4.49 |
% 16.85/4.49 |-The branch is then unsatisfiable
% 16.85/4.49 |-Branch two:
% 16.85/4.49 | (1640) all_0_90_90 = all_0_132_132
% 16.85/4.49 | (1641) ~ (all_0_91_91 = all_0_133_133) | ~ (all_0_92_92 = all_0_134_134) | ~ (all_0_93_93 = all_0_135_135) | ~ (all_0_94_94 = all_0_136_136) | ~ (all_0_95_95 = all_0_137_137) | ~ (all_0_96_96 = all_0_138_138)
% 16.85/4.49 |
% 16.85/4.49 +-Applying beta-rule and splitting (1641), into two cases.
% 16.85/4.49 |-Branch one:
% 16.85/4.49 | (1642) ~ (all_0_91_91 = all_0_133_133)
% 16.85/4.49 |
% 16.85/4.49 | Equations (1603,573) can reduce 1642 to:
% 16.85/4.49 | (397) $false
% 16.85/4.49 |
% 16.85/4.49 |-The branch is then unsatisfiable
% 16.85/4.49 |-Branch two:
% 16.85/4.49 | (1644) all_0_91_91 = all_0_133_133
% 16.85/4.49 | (1645) ~ (all_0_92_92 = all_0_134_134) | ~ (all_0_93_93 = all_0_135_135) | ~ (all_0_94_94 = all_0_136_136) | ~ (all_0_95_95 = all_0_137_137) | ~ (all_0_96_96 = all_0_138_138)
% 16.85/4.49 |
% 16.85/4.49 +-Applying beta-rule and splitting (1645), into two cases.
% 16.85/4.49 |-Branch one:
% 16.85/4.49 | (1646) ~ (all_0_92_92 = all_0_134_134)
% 16.85/4.49 |
% 16.85/4.49 | Equations (1608,462) can reduce 1646 to:
% 16.85/4.49 | (397) $false
% 16.85/4.49 |
% 16.85/4.49 |-The branch is then unsatisfiable
% 16.85/4.49 |-Branch two:
% 16.85/4.49 | (1648) all_0_92_92 = all_0_134_134
% 16.85/4.49 | (1649) ~ (all_0_93_93 = all_0_135_135) | ~ (all_0_94_94 = all_0_136_136) | ~ (all_0_95_95 = all_0_137_137) | ~ (all_0_96_96 = all_0_138_138)
% 16.85/4.49 |
% 16.85/4.49 +-Applying beta-rule and splitting (1649), into two cases.
% 16.85/4.49 |-Branch one:
% 16.85/4.49 | (1650) ~ (all_0_93_93 = all_0_135_135)
% 16.85/4.49 |
% 16.85/4.49 | Equations (1606,542) can reduce 1650 to:
% 16.85/4.49 | (397) $false
% 16.85/4.49 |
% 16.85/4.49 |-The branch is then unsatisfiable
% 16.85/4.49 |-Branch two:
% 16.85/4.49 | (1652) all_0_93_93 = all_0_135_135
% 16.85/4.49 | (1653) ~ (all_0_94_94 = all_0_136_136) | ~ (all_0_95_95 = all_0_137_137) | ~ (all_0_96_96 = all_0_138_138)
% 16.85/4.49 |
% 16.85/4.49 +-Applying beta-rule and splitting (1653), into two cases.
% 16.85/4.49 |-Branch one:
% 16.85/4.49 | (1654) ~ (all_0_94_94 = all_0_136_136)
% 16.85/4.49 |
% 16.85/4.49 | Equations (1173,434) can reduce 1654 to:
% 16.85/4.49 | (397) $false
% 16.85/4.49 |
% 16.85/4.49 |-The branch is then unsatisfiable
% 16.85/4.49 |-Branch two:
% 16.85/4.49 | (1656) all_0_94_94 = all_0_136_136
% 16.85/4.49 | (1657) ~ (all_0_95_95 = all_0_137_137) | ~ (all_0_96_96 = all_0_138_138)
% 16.85/4.49 |
% 16.85/4.49 +-Applying beta-rule and splitting (1657), into two cases.
% 16.85/4.49 |-Branch one:
% 16.85/4.49 | (1658) ~ (all_0_95_95 = all_0_137_137)
% 16.85/4.49 |
% 16.85/4.49 | Equations (1610,399) can reduce 1658 to:
% 16.85/4.49 | (397) $false
% 16.85/4.49 |
% 16.85/4.49 |-The branch is then unsatisfiable
% 16.85/4.49 |-Branch two:
% 16.85/4.49 | (1660) all_0_95_95 = all_0_137_137
% 16.85/4.49 | (1661) ~ (all_0_96_96 = all_0_138_138)
% 16.85/4.49 |
% 16.85/4.49 | Equations (1605,390) can reduce 1661 to:
% 16.85/4.49 | (397) $false
% 16.85/4.49 |
% 16.85/4.49 |-The branch is then unsatisfiable
% 16.85/4.50 |-Branch two:
% 16.85/4.50 | (1391) ~ (all_0_146_146 = e13)
% 16.85/4.50 | (1392) all_0_147_147 = e13 | all_0_149_149 = e13
% 16.85/4.50 |
% 16.85/4.50 +-Applying beta-rule and splitting (1277), into two cases.
% 16.85/4.50 |-Branch one:
% 16.85/4.50 | (1203) all_0_142_142 = e13
% 16.85/4.50 |
% 16.85/4.50 | Combining equations (1191,1203) yields a new equation:
% 16.85/4.50 | (1343) e13 = e10
% 16.85/4.50 |
% 16.85/4.50 | Equations (1343) can reduce 208 to:
% 16.85/4.50 | (397) $false
% 16.85/4.50 |
% 16.85/4.50 |-The branch is then unsatisfiable
% 16.85/4.50 |-Branch two:
% 16.85/4.50 | (1168) ~ (all_0_142_142 = e13)
% 16.85/4.50 | (1278) all_0_146_146 = e13
% 16.85/4.50 |
% 16.85/4.50 | Equations (1278) can reduce 1391 to:
% 16.85/4.50 | (397) $false
% 16.85/4.50 |
% 16.85/4.50 |-The branch is then unsatisfiable
% 16.85/4.50 |-Branch two:
% 16.85/4.50 | (1187) ~ (all_0_143_143 = e12)
% 16.85/4.50 | (1672) all_0_147_147 = e12 | all_0_151_151 = e12
% 16.85/4.50 |
% 16.85/4.50 +-Applying beta-rule and splitting (1382), into two cases.
% 16.85/4.50 |-Branch one:
% 16.85/4.50 | (1383) all_0_143_143 = e12
% 16.85/4.50 |
% 16.85/4.50 | Equations (1383) can reduce 1187 to:
% 16.85/4.50 | (397) $false
% 16.85/4.50 |
% 16.85/4.50 |-The branch is then unsatisfiable
% 16.85/4.50 |-Branch two:
% 16.85/4.50 | (1187) ~ (all_0_143_143 = e12)
% 16.85/4.50 | (1218) all_0_144_144 = e12
% 16.85/4.50 |
% 16.85/4.50 | Combining equations (1218,1221) yields a new equation:
% 16.85/4.50 | (1388) e12 = e11
% 16.85/4.50 |
% 16.85/4.50 | Simplifying 1388 yields:
% 16.85/4.50 | (1232) e12 = e11
% 16.85/4.50 |
% 16.85/4.50 | Equations (1232) can reduce 321 to:
% 16.85/4.50 | (397) $false
% 16.85/4.50 |
% 16.85/4.50 |-The branch is then unsatisfiable
% 16.85/4.50 |-Branch two:
% 16.85/4.50 | (1415) ~ (all_0_139_139 = e11)
% 16.85/4.50 | (1416) all_0_140_140 = e11 | all_0_141_141 = e11
% 16.85/4.50 |
% 16.85/4.50 +-Applying beta-rule and splitting (1416), into two cases.
% 16.85/4.50 |-Branch one:
% 16.85/4.50 | (1246) all_0_140_140 = e11
% 16.85/4.50 |
% 16.85/4.50 | Equations (1246) can reduce 1224 to:
% 16.85/4.50 | (397) $false
% 16.85/4.50 |
% 16.85/4.50 |-The branch is then unsatisfiable
% 16.85/4.50 |-Branch two:
% 16.85/4.50 | (1224) ~ (all_0_140_140 = e11)
% 16.85/4.50 | (1206) all_0_141_141 = e11
% 16.85/4.50 |
% 16.85/4.50 | Combining equations (1147,1206) yields a new equation:
% 16.85/4.50 | (1211) e11 = e10
% 16.85/4.50 |
% 16.85/4.50 | Equations (1211) can reduce 308 to:
% 16.85/4.50 | (397) $false
% 16.85/4.50 |
% 16.85/4.50 |-The branch is then unsatisfiable
% 16.85/4.50 |-Branch two:
% 16.85/4.50 | (1487) all_0_145_145 = e10 & all_0_151_151 = e10
% 16.85/4.50 |
% 16.85/4.50 | Applying alpha-rule on (1487) yields:
% 16.85/4.50 | (1164) all_0_145_145 = e10
% 16.85/4.50 | (1183) all_0_151_151 = e10
% 16.85/4.50 |
% 16.85/4.50 | Combining equations (1164,1167) yields a new equation:
% 16.85/4.50 | (1343) e13 = e10
% 16.85/4.50 |
% 16.85/4.50 | Equations (1343) can reduce 208 to:
% 16.85/4.50 | (397) $false
% 16.85/4.50 |
% 16.85/4.50 |-The branch is then unsatisfiable
% 16.85/4.50 |-Branch two:
% 16.85/4.50 | (1178) ~ (all_0_142_142 = e10)
% 16.85/4.50 | (1194) all_0_143_143 = e10 | all_0_144_144 = e10 | all_0_145_145 = e10
% 16.85/4.50 |
% 16.85/4.50 +-Applying beta-rule and splitting (1194), into two cases.
% 16.85/4.50 |-Branch one:
% 16.85/4.50 | (1252) all_0_143_143 = e10
% 16.85/4.50 |
% 16.85/4.50 | Equations (1252) can reduce 1424 to:
% 16.85/4.50 | (397) $false
% 16.85/4.50 |
% 16.85/4.50 |-The branch is then unsatisfiable
% 16.85/4.50 |-Branch two:
% 16.85/4.50 | (1424) ~ (all_0_143_143 = e10)
% 16.85/4.50 | (1698) all_0_144_144 = e10 | all_0_145_145 = e10
% 16.85/4.50 |
% 16.85/4.50 +-Applying beta-rule and splitting (1698), into two cases.
% 16.85/4.50 |-Branch one:
% 16.85/4.50 | (1699) all_0_144_144 = e10
% 16.85/4.50 |
% 16.85/4.50 | Equations (1699) can reduce 1150 to:
% 16.85/4.50 | (397) $false
% 16.85/4.50 |
% 16.85/4.50 |-The branch is then unsatisfiable
% 16.85/4.50 |-Branch two:
% 16.85/4.50 | (1150) ~ (all_0_144_144 = e10)
% 16.85/4.50 | (1164) all_0_145_145 = e10
% 16.85/4.50 |
% 16.85/4.50 | Combining equations (1164,1167) yields a new equation:
% 16.85/4.50 | (1343) e13 = e10
% 16.85/4.50 |
% 16.85/4.50 | Equations (1343) can reduce 208 to:
% 16.85/4.50 | (397) $false
% 16.85/4.50 |
% 16.85/4.50 |-The branch is then unsatisfiable
% 16.85/4.50 |-Branch two:
% 16.85/4.50 | (1705) ~ (all_0_149_149 = e10)
% 16.85/4.50 | (1353) all_0_149_149 = e13
% 16.85/4.50 |
% 16.85/4.50 | Equations (1353) can reduce 118 to:
% 16.85/4.50 | (16) ~ (all_0_148_148 = e13)
% 16.85/4.50 |
% 16.85/4.50 | Equations (1353) can reduce 1705 to:
% 16.85/4.50 | (208) ~ (e13 = e10)
% 16.85/4.50 |
% 16.85/4.50 +-Applying beta-rule and splitting (167), into two cases.
% 16.85/4.50 |-Branch one:
% 16.85/4.50 | (1164) all_0_145_145 = e10
% 16.85/4.50 |
% 16.85/4.50 | Equations (1164) can reduce 260 to:
% 16.85/4.50 | (1150) ~ (all_0_144_144 = e10)
% 16.85/4.50 |
% 16.85/4.50 +-Applying beta-rule and splitting (232), into two cases.
% 16.85/4.50 |-Branch one:
% 16.85/4.50 | (1176) all_0_150_150 = e10
% 16.85/4.50 |
% 16.85/4.50 | Equations (1176) can reduce 389 to:
% 16.85/4.50 | (1179) ~ (all_0_151_151 = e10)
% 16.85/4.50 |
% 16.85/4.50 | Simplifying 1179 yields:
% 16.85/4.50 | (1180) ~ (all_0_151_151 = e10)
% 16.85/4.50 |
% 16.85/4.50 | Equations (1176) can reduce 223 to:
% 16.85/4.50 | (1181) ~ (e11 = e10)
% 16.85/4.50 |
% 16.85/4.50 | Simplifying 1181 yields:
% 16.85/4.50 | (308) ~ (e11 = e10)
% 16.85/4.50 |
% 16.85/4.50 +-Applying beta-rule and splitting (48), into two cases.
% 16.85/4.50 |-Branch one:
% 16.85/4.50 | (1183) all_0_151_151 = e10
% 16.85/4.50 |
% 16.85/4.50 | Equations (1183) can reduce 1180 to:
% 16.85/4.50 | (397) $false
% 16.85/4.50 |
% 16.85/4.50 |-The branch is then unsatisfiable
% 16.85/4.50 |-Branch two:
% 16.85/4.50 | (1180) ~ (all_0_151_151 = e10)
% 16.85/4.50 | (1186) all_0_151_151 = e12
% 16.85/4.50 |
% 16.85/4.50 | Equations (1186) can reduce 10 to:
% 16.85/4.50 | (242) ~ (all_0_140_140 = e12)
% 16.85/4.50 |
% 16.85/4.50 | Equations (1186) can reduce 122 to:
% 16.85/4.50 | (1187) ~ (all_0_143_143 = e12)
% 16.85/4.50 |
% 16.85/4.50 | Equations (1186) can reduce 319 to:
% 16.85/4.50 | (1188) ~ (all_0_147_147 = e12)
% 16.85/4.50 |
% 16.85/4.50 | Equations (1186) can reduce 1180 to:
% 16.85/4.50 | (170) ~ (e12 = e10)
% 16.85/4.50 |
% 16.85/4.50 +-Applying beta-rule and splitting (306), into two cases.
% 16.85/4.50 |-Branch one:
% 16.85/4.50 | (1238) all_0_140_140 = e10
% 16.85/4.50 |
% 16.85/4.50 | Equations (1238) can reduce 1148 to:
% 16.85/4.50 | (397) $false
% 16.85/4.50 |
% 16.85/4.50 |-The branch is then unsatisfiable
% 16.85/4.50 |-Branch two:
% 16.85/4.50 | (1148) ~ (all_0_140_140 = e10)
% 16.85/4.50 | (1245) all_0_143_143 = e10 | all_0_147_147 = e10 | all_0_151_151 = e10
% 16.85/4.50 |
% 16.85/4.50 +-Applying beta-rule and splitting (251), into two cases.
% 16.85/4.50 |-Branch one:
% 16.85/4.50 | (1195) (all_0_140_140 = e13 & all_0_142_142 = e13 & ~ (all_0_139_139 = e13) & ~ (all_0_146_146 = e11) & ~ (all_0_150_150 = e10)) | (all_0_141_141 = e11 & all_0_146_146 = e11 & ~ (all_0_144_144 = e12) & ~ (all_0_148_148 = e11)) | (all_0_144_144 = e12 & all_0_147_147 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_151_151 = e10)) | (all_0_144_144 = e11 & all_0_147_147 = e11 & ~ (all_0_148_148 = e11))
% 16.85/4.50 |
% 16.85/4.50 +-Applying beta-rule and splitting (1195), into two cases.
% 16.85/4.50 |-Branch one:
% 16.85/4.50 | (1196) (all_0_140_140 = e13 & all_0_142_142 = e13 & ~ (all_0_139_139 = e13) & ~ (all_0_146_146 = e11) & ~ (all_0_150_150 = e10)) | (all_0_141_141 = e11 & all_0_146_146 = e11 & ~ (all_0_144_144 = e12) & ~ (all_0_148_148 = e11)) | (all_0_144_144 = e12 & all_0_147_147 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_151_151 = e10))
% 16.85/4.50 |
% 16.85/4.50 +-Applying beta-rule and splitting (1196), into two cases.
% 16.85/4.50 |-Branch one:
% 16.85/4.50 | (1197) (all_0_140_140 = e13 & all_0_142_142 = e13 & ~ (all_0_139_139 = e13) & ~ (all_0_146_146 = e11) & ~ (all_0_150_150 = e10)) | (all_0_141_141 = e11 & all_0_146_146 = e11 & ~ (all_0_144_144 = e12) & ~ (all_0_148_148 = e11))
% 16.85/4.50 |
% 16.85/4.50 +-Applying beta-rule and splitting (1197), into two cases.
% 16.85/4.50 |-Branch one:
% 16.85/4.50 | (1198) all_0_140_140 = e13 & all_0_142_142 = e13 & ~ (all_0_139_139 = e13) & ~ (all_0_146_146 = e11) & ~ (all_0_150_150 = e10)
% 16.85/4.50 |
% 16.85/4.50 | Applying alpha-rule on (1198) yields:
% 16.85/4.50 | (1199) ~ (all_0_150_150 = e10)
% 16.85/4.50 | (1200) ~ (all_0_139_139 = e13)
% 16.85/4.51 | (1201) all_0_140_140 = e13
% 16.85/4.51 | (1202) ~ (all_0_146_146 = e11)
% 16.85/4.51 | (1203) all_0_142_142 = e13
% 16.85/4.51 |
% 16.85/4.51 | Equations (1176) can reduce 1199 to:
% 16.85/4.51 | (397) $false
% 16.85/4.51 |
% 16.85/4.51 |-The branch is then unsatisfiable
% 16.85/4.51 |-Branch two:
% 16.85/4.51 | (1205) all_0_141_141 = e11 & all_0_146_146 = e11 & ~ (all_0_144_144 = e12) & ~ (all_0_148_148 = e11)
% 16.85/4.51 |
% 16.85/4.51 | Applying alpha-rule on (1205) yields:
% 16.85/4.51 | (1206) all_0_141_141 = e11
% 16.85/4.51 | (1207) all_0_146_146 = e11
% 16.85/4.51 | (1208) ~ (all_0_144_144 = e12)
% 16.85/4.51 | (1209) ~ (all_0_148_148 = e11)
% 16.85/4.51 |
% 16.85/4.51 | Combining equations (1206,1147) yields a new equation:
% 16.85/4.51 | (1210) e11 = e10
% 16.85/4.51 |
% 16.85/4.51 | Simplifying 1210 yields:
% 16.85/4.51 | (1211) e11 = e10
% 16.85/4.51 |
% 16.85/4.51 | Equations (1211) can reduce 308 to:
% 16.85/4.51 | (397) $false
% 16.85/4.51 |
% 16.85/4.51 |-The branch is then unsatisfiable
% 16.85/4.51 |-Branch two:
% 16.85/4.51 | (1213) all_0_144_144 = e12 & all_0_147_147 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_151_151 = e10)
% 16.85/4.51 |
% 16.85/4.51 | Applying alpha-rule on (1213) yields:
% 16.85/4.51 | (1180) ~ (all_0_151_151 = e10)
% 16.85/4.51 | (1215) all_0_147_147 = e12
% 16.85/4.51 | (1187) ~ (all_0_143_143 = e12)
% 16.85/4.51 | (1217) ~ (all_0_140_140 = e13)
% 16.85/4.51 | (1218) all_0_144_144 = e12
% 16.85/4.51 |
% 16.85/4.51 | Equations (1215) can reduce 1188 to:
% 16.85/4.51 | (397) $false
% 16.85/4.51 |
% 16.85/4.51 |-The branch is then unsatisfiable
% 16.85/4.51 |-Branch two:
% 16.85/4.51 | (1220) all_0_144_144 = e11 & all_0_147_147 = e11 & ~ (all_0_148_148 = e11)
% 16.85/4.51 |
% 16.85/4.51 | Applying alpha-rule on (1220) yields:
% 16.85/4.51 | (1221) all_0_144_144 = e11
% 16.85/4.51 | (1222) all_0_147_147 = e11
% 16.85/4.51 | (1209) ~ (all_0_148_148 = e11)
% 16.85/4.51 |
% 16.85/4.51 | Equations (1222) can reduce 75 to:
% 16.85/4.51 | (1224) ~ (all_0_140_140 = e11)
% 16.85/4.51 |
% 16.85/4.51 | Equations (1222) can reduce 61 to:
% 16.85/4.51 | (1758) ~ (all_0_148_148 = e11)
% 16.85/4.51 |
% 16.85/4.51 | Simplifying 1758 yields:
% 16.85/4.51 | (1209) ~ (all_0_148_148 = e11)
% 16.85/4.51 |
% 16.85/4.51 | Equations (1222) can reduce 1188 to:
% 16.85/4.51 | (1226) ~ (e12 = e11)
% 16.85/4.51 |
% 16.85/4.51 | Simplifying 1226 yields:
% 16.85/4.51 | (321) ~ (e12 = e11)
% 16.85/4.51 |
% 16.85/4.51 +-Applying beta-rule and splitting (169), into two cases.
% 16.85/4.51 |-Branch one:
% 16.85/4.51 | (1218) all_0_144_144 = e12
% 16.85/4.51 |
% 16.85/4.51 | Combining equations (1221,1218) yields a new equation:
% 16.85/4.51 | (1232) e12 = e11
% 16.85/4.51 |
% 16.85/4.51 | Equations (1232) can reduce 321 to:
% 16.85/4.51 | (397) $false
% 16.85/4.51 |
% 16.85/4.51 |-The branch is then unsatisfiable
% 16.85/4.51 |-Branch two:
% 16.85/4.51 | (1208) ~ (all_0_144_144 = e12)
% 16.85/4.51 | (1235) all_0_148_148 = e12
% 16.85/4.51 |
% 16.85/4.51 | Equations (1235) can reduce 1209 to:
% 16.85/4.51 | (321) ~ (e12 = e11)
% 16.85/4.51 |
% 16.85/4.51 +-Applying beta-rule and splitting (273), into two cases.
% 16.85/4.51 |-Branch one:
% 16.85/4.51 | (1238) all_0_140_140 = e10
% 16.85/4.51 |
% 16.85/4.51 | Equations (1238) can reduce 1148 to:
% 16.85/4.51 | (397) $false
% 16.85/4.51 |
% 16.85/4.51 |-The branch is then unsatisfiable
% 16.85/4.51 |-Branch two:
% 16.85/4.51 | (1148) ~ (all_0_140_140 = e10)
% 16.85/4.51 | (1241) all_0_140_140 = e13 | all_0_140_140 = e11
% 16.85/4.51 |
% 16.85/4.51 +-Applying beta-rule and splitting (147), into two cases.
% 16.85/4.51 |-Branch one:
% 16.85/4.51 | (1285) all_0_142_142 = e12
% 16.85/4.51 |
% 16.85/4.51 +-Applying beta-rule and splitting (1241), into two cases.
% 16.85/4.51 |-Branch one:
% 16.85/4.51 | (1246) all_0_140_140 = e11
% 16.85/4.51 |
% 16.85/4.51 | Equations (1246) can reduce 1224 to:
% 16.85/4.51 | (397) $false
% 16.85/4.51 |
% 16.85/4.51 |-The branch is then unsatisfiable
% 16.85/4.51 |-Branch two:
% 16.85/4.51 | (1224) ~ (all_0_140_140 = e11)
% 16.85/4.51 | (1201) all_0_140_140 = e13
% 16.85/4.51 |
% 16.85/4.51 | Equations (1201) can reduce 367 to:
% 16.85/4.51 | (1777) ~ (all_0_143_143 = e13)
% 16.85/4.51 |
% 16.85/4.51 | Simplifying 1777 yields:
% 16.85/4.51 | (1778) ~ (all_0_143_143 = e13)
% 16.85/4.51 |
% 16.85/4.51 | Equations (1201) can reduce 242 to:
% 16.85/4.51 | (300) ~ (e13 = e12)
% 16.85/4.51 |
% 16.85/4.51 | Equations (1201) can reduce 1148 to:
% 16.85/4.51 | (208) ~ (e13 = e10)
% 16.85/4.51 |
% 16.85/4.51 +-Applying beta-rule and splitting (340), into two cases.
% 16.85/4.51 |-Branch one:
% 16.85/4.51 | (1203) all_0_142_142 = e13
% 16.85/4.51 |
% 16.85/4.51 | Combining equations (1203,1285) yields a new equation:
% 16.85/4.51 | (1309) e13 = e12
% 16.85/4.51 |
% 16.85/4.51 | Simplifying 1309 yields:
% 16.85/4.51 | (1310) e13 = e12
% 16.85/4.51 |
% 16.85/4.51 | Equations (1310) can reduce 300 to:
% 16.85/4.51 | (397) $false
% 16.85/4.51 |
% 16.85/4.51 |-The branch is then unsatisfiable
% 16.85/4.51 |-Branch two:
% 16.85/4.51 | (1168) ~ (all_0_142_142 = e13)
% 16.85/4.51 | (1786) all_0_143_143 = e13 | all_0_145_145 = e13
% 16.85/4.51 |
% 16.85/4.51 +-Applying beta-rule and splitting (1786), into two cases.
% 16.85/4.51 |-Branch one:
% 16.85/4.51 | (1787) all_0_143_143 = e13
% 16.85/4.51 |
% 16.85/4.51 | Equations (1787) can reduce 1778 to:
% 16.85/4.51 | (397) $false
% 16.85/4.51 |
% 16.85/4.51 |-The branch is then unsatisfiable
% 16.85/4.51 |-Branch two:
% 16.85/4.51 | (1778) ~ (all_0_143_143 = e13)
% 16.85/4.51 | (1167) all_0_145_145 = e13
% 16.85/4.51 |
% 16.85/4.51 | Combining equations (1164,1167) yields a new equation:
% 16.85/4.51 | (1343) e13 = e10
% 16.85/4.51 |
% 16.85/4.51 | Equations (1343) can reduce 208 to:
% 16.85/4.51 | (397) $false
% 16.85/4.51 |
% 16.85/4.51 |-The branch is then unsatisfiable
% 16.85/4.51 |-Branch two:
% 16.85/4.51 | (1381) ~ (all_0_142_142 = e12)
% 16.85/4.51 | (1382) all_0_143_143 = e12 | all_0_144_144 = e12
% 16.85/4.51 |
% 16.85/4.51 +-Applying beta-rule and splitting (1382), into two cases.
% 16.85/4.51 |-Branch one:
% 16.85/4.51 | (1383) all_0_143_143 = e12
% 16.85/4.51 |
% 16.85/4.51 | Equations (1383) can reduce 1187 to:
% 16.85/4.51 | (397) $false
% 16.85/4.51 |
% 16.85/4.51 |-The branch is then unsatisfiable
% 16.85/4.51 |-Branch two:
% 16.85/4.51 | (1187) ~ (all_0_143_143 = e12)
% 16.85/4.51 | (1218) all_0_144_144 = e12
% 16.85/4.51 |
% 16.85/4.51 | Combining equations (1221,1218) yields a new equation:
% 16.85/4.51 | (1232) e12 = e11
% 16.85/4.51 |
% 16.85/4.51 | Equations (1232) can reduce 321 to:
% 16.85/4.51 | (397) $false
% 16.85/4.51 |
% 16.85/4.51 |-The branch is then unsatisfiable
% 16.85/4.51 |-Branch two:
% 16.85/4.51 | (1487) all_0_145_145 = e10 & all_0_151_151 = e10
% 16.85/4.51 |
% 16.85/4.51 | Applying alpha-rule on (1487) yields:
% 16.85/4.51 | (1164) all_0_145_145 = e10
% 16.85/4.51 | (1183) all_0_151_151 = e10
% 16.85/4.51 |
% 16.85/4.51 | Combining equations (1186,1183) yields a new equation:
% 16.85/4.51 | (1412) e12 = e10
% 16.85/4.51 |
% 16.85/4.51 | Simplifying 1412 yields:
% 16.85/4.51 | (1360) e12 = e10
% 16.85/4.51 |
% 16.85/4.51 | Equations (1360) can reduce 170 to:
% 16.85/4.51 | (397) $false
% 16.85/4.51 |
% 16.85/4.51 |-The branch is then unsatisfiable
% 16.85/4.51 |-Branch two:
% 16.85/4.51 | (1199) ~ (all_0_150_150 = e10)
% 16.85/4.51 | (1359) all_0_150_150 = e12
% 16.85/4.51 |
% 16.85/4.51 | Equations (1359) can reduce 329 to:
% 16.85/4.51 | (1381) ~ (all_0_142_142 = e12)
% 16.85/4.51 |
% 16.85/4.51 | Equations (1359) can reduce 1199 to:
% 16.85/4.51 | (170) ~ (e12 = e10)
% 16.85/4.51 |
% 16.85/4.51 +-Applying beta-rule and splitting (245), into two cases.
% 16.85/4.51 |-Branch one:
% 16.85/4.51 | (1176) all_0_150_150 = e10
% 16.85/4.51 |
% 16.85/4.51 | Combining equations (1359,1176) yields a new equation:
% 16.85/4.51 | (1412) e12 = e10
% 16.85/4.51 |
% 16.85/4.51 | Simplifying 1412 yields:
% 16.85/4.51 | (1360) e12 = e10
% 16.85/4.51 |
% 16.85/4.51 | Equations (1360) can reduce 170 to:
% 16.85/4.51 | (397) $false
% 16.85/4.51 |
% 16.85/4.51 |-The branch is then unsatisfiable
% 16.85/4.51 |-Branch two:
% 16.85/4.51 | (1199) ~ (all_0_150_150 = e10)
% 16.85/4.51 | (1183) all_0_151_151 = e10
% 16.85/4.51 |
% 16.85/4.51 | Equations (1183) can reduce 10 to:
% 16.85/4.51 | (1148) ~ (all_0_140_140 = e10)
% 16.85/4.51 |
% 16.85/4.51 | Equations (1183) can reduce 122 to:
% 16.85/4.51 | (1424) ~ (all_0_143_143 = e10)
% 16.85/4.51 |
% 16.85/4.51 | Equations (1183) can reduce 319 to:
% 16.85/4.51 | (1435) ~ (all_0_147_147 = e10)
% 16.85/4.51 |
% 16.85/4.51 | Equations (1183) can reduce 252 to:
% 16.85/4.51 | (1507) ~ (e13 = e10)
% 16.85/4.51 |
% 16.85/4.51 | Simplifying 1507 yields:
% 16.85/4.51 | (208) ~ (e13 = e10)
% 16.85/4.51 |
% 16.85/4.51 +-Applying beta-rule and splitting (366), into two cases.
% 16.85/4.51 |-Branch one:
% 16.85/4.51 | (1342) all_0_146_146 = e10
% 16.85/4.51 |
% 16.85/4.51 | Equations (1342) can reduce 49 to:
% 16.85/4.51 | (1178) ~ (all_0_142_142 = e10)
% 16.85/4.51 |
% 16.85/4.51 | Equations (1342) can reduce 333 to:
% 16.85/4.51 | (1824) ~ (all_0_147_147 = e10)
% 16.85/4.51 |
% 16.85/4.51 | Simplifying 1824 yields:
% 16.85/4.51 | (1435) ~ (all_0_147_147 = e10)
% 16.85/4.52 |
% 16.85/4.52 | Equations (1342) can reduce 372 to:
% 16.85/4.52 | (1151) ~ (all_0_148_148 = e10)
% 16.85/4.52 |
% 16.85/4.52 | Simplifying 1151 yields:
% 16.85/4.52 | (1152) ~ (all_0_148_148 = e10)
% 16.85/4.52 |
% 16.85/4.52 +-Applying beta-rule and splitting (169), into two cases.
% 16.85/4.52 |-Branch one:
% 16.85/4.52 | (1218) all_0_144_144 = e12
% 16.85/4.52 |
% 16.85/4.52 | Equations (1218) can reduce 158 to:
% 16.85/4.52 | (1829) ~ (all_0_148_148 = e12)
% 16.85/4.52 |
% 16.85/4.52 | Simplifying 1829 yields:
% 16.85/4.52 | (1830) ~ (all_0_148_148 = e12)
% 16.85/4.52 |
% 16.85/4.52 | Equations (1218) can reduce 1150 to:
% 16.85/4.52 | (170) ~ (e12 = e10)
% 16.85/4.52 |
% 16.85/4.52 +-Applying beta-rule and splitting (299), into two cases.
% 16.85/4.52 |-Branch one:
% 16.85/4.52 | (1832) all_0_148_148 = e10
% 16.85/4.52 |
% 16.85/4.52 | Equations (1832) can reduce 1152 to:
% 16.85/4.52 | (397) $false
% 16.85/4.52 |
% 16.85/4.52 |-The branch is then unsatisfiable
% 16.85/4.52 |-Branch two:
% 16.85/4.52 | (1152) ~ (all_0_148_148 = e10)
% 16.85/4.52 | (1835) all_0_148_148 = e12 | all_0_148_148 = e11
% 16.85/4.52 |
% 16.85/4.52 +-Applying beta-rule and splitting (380), into two cases.
% 16.85/4.52 |-Branch one:
% 16.85/4.52 | (1408) all_0_146_146 = e12
% 16.85/4.52 |
% 16.85/4.52 | Combining equations (1342,1408) yields a new equation:
% 16.85/4.52 | (1360) e12 = e10
% 16.85/4.52 |
% 16.85/4.52 | Equations (1360) can reduce 170 to:
% 16.85/4.52 | (397) $false
% 16.85/4.52 |
% 16.85/4.52 |-The branch is then unsatisfiable
% 16.85/4.52 |-Branch two:
% 16.85/4.52 | (1236) ~ (all_0_146_146 = e12)
% 16.85/4.52 | (1840) all_0_147_147 = e12 | all_0_148_148 = e12
% 16.85/4.52 |
% 16.85/4.52 +-Applying beta-rule and splitting (1835), into two cases.
% 16.85/4.52 |-Branch one:
% 16.85/4.52 | (1841) all_0_148_148 = e11
% 16.85/4.52 |
% 16.85/4.52 | Equations (1841) can reduce 61 to:
% 16.85/4.52 | (1842) ~ (all_0_147_147 = e11)
% 16.85/4.52 |
% 16.85/4.52 | Equations (1841) can reduce 16 to:
% 16.85/4.52 | (1266) ~ (e13 = e11)
% 16.85/4.52 |
% 16.85/4.52 | Simplifying 1266 yields:
% 16.85/4.52 | (363) ~ (e13 = e11)
% 16.85/4.52 |
% 16.85/4.52 | Equations (1841) can reduce 1830 to:
% 16.85/4.52 | (1226) ~ (e12 = e11)
% 16.85/4.52 |
% 16.85/4.52 | Simplifying 1226 yields:
% 16.85/4.52 | (321) ~ (e12 = e11)
% 16.85/4.52 |
% 16.85/4.52 | Equations (1841) can reduce 1152 to:
% 17.00/4.52 | (308) ~ (e11 = e10)
% 17.00/4.52 |
% 17.00/4.52 +-Applying beta-rule and splitting (1840), into two cases.
% 17.00/4.52 |-Branch one:
% 17.00/4.52 | (1215) all_0_147_147 = e12
% 17.00/4.52 |
% 17.00/4.52 | Equations (1215) can reduce 1842 to:
% 17.00/4.52 | (321) ~ (e12 = e11)
% 17.00/4.52 |
% 17.00/4.52 +-Applying beta-rule and splitting (258), into two cases.
% 17.00/4.52 |-Branch one:
% 17.00/4.52 | (1850) ~ (all_0_149_149 = e13)
% 17.00/4.52 |
% 17.00/4.52 | Equations (1353) can reduce 1850 to:
% 17.00/4.52 | (397) $false
% 17.00/4.52 |
% 17.00/4.52 |-The branch is then unsatisfiable
% 17.00/4.52 |-Branch two:
% 17.00/4.52 | (1353) all_0_149_149 = e13
% 17.00/4.52 | (1853) (all_0_139_139 = e11 & ( ~ (all_0_141_141 = e11) | ~ (all_0_146_146 = e11)) & ( ~ (all_0_141_141 = e10) | ~ (all_0_146_146 = e10))) | (all_0_139_139 = e10 & ~ (all_0_150_150 = e12)) | (all_0_143_143 = e13 & ( ~ (all_0_140_140 = e13) | ~ (all_0_142_142 = e13)) & ( ~ (all_0_140_140 = e11) | ~ (all_0_142_142 = e11)) & ( ~ (all_0_140_140 = e10) | ~ (all_0_142_142 = e10))) | (all_0_143_143 = e11 & ( ~ (all_0_144_144 = e12) | ~ (all_0_147_147 = e12)) & ( ~ (all_0_144_144 = e11) | ~ (all_0_147_147 = e11)) & ( ~ (all_0_144_144 = e10) | ~ (all_0_147_147 = e10))) | (all_0_143_143 = e10 & ( ~ (all_0_145_145 = e10) | ~ (all_0_151_151 = e10))) | (all_0_148_148 = e12 & ( ~ (all_0_144_144 = e12) | ~ (all_0_147_147 = e12)) & ( ~ (all_0_144_144 = e11) | ~ (all_0_147_147 = e11)) & ( ~ (all_0_144_144 = e10) | ~ (all_0_147_147 = e10)))
% 17.00/4.52 |
% 17.00/4.52 +-Applying beta-rule and splitting (1853), into two cases.
% 17.00/4.52 |-Branch one:
% 17.00/4.52 | (1854) (all_0_139_139 = e11 & ( ~ (all_0_141_141 = e11) | ~ (all_0_146_146 = e11)) & ( ~ (all_0_141_141 = e10) | ~ (all_0_146_146 = e10))) | (all_0_139_139 = e10 & ~ (all_0_150_150 = e12)) | (all_0_143_143 = e13 & ( ~ (all_0_140_140 = e13) | ~ (all_0_142_142 = e13)) & ( ~ (all_0_140_140 = e11) | ~ (all_0_142_142 = e11)) & ( ~ (all_0_140_140 = e10) | ~ (all_0_142_142 = e10))) | (all_0_143_143 = e11 & ( ~ (all_0_144_144 = e12) | ~ (all_0_147_147 = e12)) & ( ~ (all_0_144_144 = e11) | ~ (all_0_147_147 = e11)) & ( ~ (all_0_144_144 = e10) | ~ (all_0_147_147 = e10))) | (all_0_143_143 = e10 & ( ~ (all_0_145_145 = e10) | ~ (all_0_151_151 = e10)))
% 17.00/4.52 |
% 17.00/4.52 +-Applying beta-rule and splitting (1854), into two cases.
% 17.00/4.52 |-Branch one:
% 17.00/4.52 | (1855) (all_0_139_139 = e11 & ( ~ (all_0_141_141 = e11) | ~ (all_0_146_146 = e11)) & ( ~ (all_0_141_141 = e10) | ~ (all_0_146_146 = e10))) | (all_0_139_139 = e10 & ~ (all_0_150_150 = e12)) | (all_0_143_143 = e13 & ( ~ (all_0_140_140 = e13) | ~ (all_0_142_142 = e13)) & ( ~ (all_0_140_140 = e11) | ~ (all_0_142_142 = e11)) & ( ~ (all_0_140_140 = e10) | ~ (all_0_142_142 = e10))) | (all_0_143_143 = e11 & ( ~ (all_0_144_144 = e12) | ~ (all_0_147_147 = e12)) & ( ~ (all_0_144_144 = e11) | ~ (all_0_147_147 = e11)) & ( ~ (all_0_144_144 = e10) | ~ (all_0_147_147 = e10)))
% 17.00/4.52 |
% 17.00/4.52 +-Applying beta-rule and splitting (1855), into two cases.
% 17.00/4.52 |-Branch one:
% 17.00/4.52 | (1856) (all_0_139_139 = e11 & ( ~ (all_0_141_141 = e11) | ~ (all_0_146_146 = e11)) & ( ~ (all_0_141_141 = e10) | ~ (all_0_146_146 = e10))) | (all_0_139_139 = e10 & ~ (all_0_150_150 = e12)) | (all_0_143_143 = e13 & ( ~ (all_0_140_140 = e13) | ~ (all_0_142_142 = e13)) & ( ~ (all_0_140_140 = e11) | ~ (all_0_142_142 = e11)) & ( ~ (all_0_140_140 = e10) | ~ (all_0_142_142 = e10)))
% 17.00/4.52 |
% 17.00/4.52 +-Applying beta-rule and splitting (1856), into two cases.
% 17.00/4.52 |-Branch one:
% 17.00/4.52 | (1857) (all_0_139_139 = e11 & ( ~ (all_0_141_141 = e11) | ~ (all_0_146_146 = e11)) & ( ~ (all_0_141_141 = e10) | ~ (all_0_146_146 = e10))) | (all_0_139_139 = e10 & ~ (all_0_150_150 = e12))
% 17.00/4.52 |
% 17.00/4.52 +-Applying beta-rule and splitting (1857), into two cases.
% 17.00/4.52 |-Branch one:
% 17.00/4.52 | (1858) all_0_139_139 = e11 & ( ~ (all_0_141_141 = e11) | ~ (all_0_146_146 = e11)) & ( ~ (all_0_141_141 = e10) | ~ (all_0_146_146 = e10))
% 17.00/4.52 |
% 17.00/4.52 | Applying alpha-rule on (1858) yields:
% 17.00/4.52 | (1263) all_0_139_139 = e11
% 17.00/4.52 | (1860) ~ (all_0_141_141 = e11) | ~ (all_0_146_146 = e11)
% 17.00/4.52 | (1861) ~ (all_0_141_141 = e10) | ~ (all_0_146_146 = e10)
% 17.00/4.52 |
% 17.00/4.52 +-Applying beta-rule and splitting (1861), into two cases.
% 17.00/4.52 |-Branch one:
% 17.00/4.52 | (1862) ~ (all_0_141_141 = e10)
% 17.00/4.52 |
% 17.00/4.52 | Equations (1147) can reduce 1862 to:
% 17.00/4.52 | (397) $false
% 17.00/4.52 |
% 17.00/4.52 |-The branch is then unsatisfiable
% 17.00/4.52 |-Branch two:
% 17.00/4.52 | (1147) all_0_141_141 = e10
% 17.00/4.52 | (1865) ~ (all_0_146_146 = e10)
% 17.00/4.52 |
% 17.00/4.52 | Equations (1342) can reduce 1865 to:
% 17.00/4.52 | (397) $false
% 17.00/4.52 |
% 17.00/4.52 |-The branch is then unsatisfiable
% 17.00/4.52 |-Branch two:
% 17.00/4.52 | (1867) all_0_139_139 = e10 & ~ (all_0_150_150 = e12)
% 17.00/4.52 |
% 17.00/4.52 | Applying alpha-rule on (1867) yields:
% 17.00/4.52 | (1461) all_0_139_139 = e10
% 17.00/4.52 | (1869) ~ (all_0_150_150 = e12)
% 17.00/4.52 |
% 17.00/4.52 | Equations (1359) can reduce 1869 to:
% 17.00/4.52 | (397) $false
% 17.00/4.52 |
% 17.00/4.52 |-The branch is then unsatisfiable
% 17.00/4.52 |-Branch two:
% 17.00/4.52 | (1871) all_0_143_143 = e13 & ( ~ (all_0_140_140 = e13) | ~ (all_0_142_142 = e13)) & ( ~ (all_0_140_140 = e11) | ~ (all_0_142_142 = e11)) & ( ~ (all_0_140_140 = e10) | ~ (all_0_142_142 = e10))
% 17.00/4.52 |
% 17.00/4.52 | Applying alpha-rule on (1871) yields:
% 17.00/4.52 | (1787) all_0_143_143 = e13
% 17.00/4.52 | (1873) ~ (all_0_140_140 = e13) | ~ (all_0_142_142 = e13)
% 17.00/4.52 | (1874) ~ (all_0_140_140 = e11) | ~ (all_0_142_142 = e11)
% 17.00/4.52 | (1875) ~ (all_0_140_140 = e10) | ~ (all_0_142_142 = e10)
% 17.00/4.52 |
% 17.00/4.52 | Equations (1787) can reduce 367 to:
% 17.00/4.52 | (1217) ~ (all_0_140_140 = e13)
% 17.00/4.52 |
% 17.00/4.52 +-Applying beta-rule and splitting (27), into two cases.
% 17.00/4.52 |-Branch one:
% 17.00/4.52 | (1272) all_0_139_139 = e13
% 17.00/4.52 |
% 17.00/4.52 | Equations (1272) can reduce 125 to:
% 17.00/4.52 | (1878) ~ (all_0_140_140 = e13)
% 17.00/4.52 |
% 17.00/4.52 | Simplifying 1878 yields:
% 17.00/4.52 | (1217) ~ (all_0_140_140 = e13)
% 17.00/4.52 |
% 17.00/4.52 +-Applying beta-rule and splitting (11), into two cases.
% 17.00/4.52 |-Branch one:
% 17.00/4.52 | (1191) all_0_142_142 = e10
% 17.00/4.52 |
% 17.00/4.52 | Equations (1191) can reduce 1178 to:
% 17.00/4.52 | (397) $false
% 17.00/4.52 |
% 17.00/4.52 |-The branch is then unsatisfiable
% 17.00/4.52 |-Branch two:
% 17.00/4.52 | (1178) ~ (all_0_142_142 = e10)
% 17.00/4.52 | (1262) all_0_142_142 = e13 | all_0_142_142 = e12 | all_0_142_142 = e11
% 17.00/4.52 |
% 17.00/4.52 +-Applying beta-rule and splitting (273), into two cases.
% 17.00/4.52 |-Branch one:
% 17.00/4.52 | (1238) all_0_140_140 = e10
% 17.00/4.52 |
% 17.00/4.52 | Equations (1238) can reduce 1148 to:
% 17.00/4.52 | (397) $false
% 17.00/4.52 |
% 17.00/4.52 |-The branch is then unsatisfiable
% 17.00/4.52 |-Branch two:
% 17.00/4.52 | (1148) ~ (all_0_140_140 = e10)
% 17.00/4.52 | (1241) all_0_140_140 = e13 | all_0_140_140 = e11
% 17.00/4.52 |
% 17.00/4.52 +-Applying beta-rule and splitting (220), into two cases.
% 17.00/4.52 |-Branch one:
% 17.00/4.52 | (1263) all_0_139_139 = e11
% 17.00/4.52 |
% 17.00/4.52 | Combining equations (1263,1272) yields a new equation:
% 17.00/4.52 | (1274) e13 = e11
% 17.00/4.52 |
% 17.00/4.52 | Equations (1274) can reduce 363 to:
% 17.00/4.52 | (397) $false
% 17.00/4.52 |
% 17.00/4.52 |-The branch is then unsatisfiable
% 17.00/4.52 |-Branch two:
% 17.00/4.52 | (1415) ~ (all_0_139_139 = e11)
% 17.00/4.52 | (1416) all_0_140_140 = e11 | all_0_141_141 = e11
% 17.00/4.52 |
% 17.00/4.52 +-Applying beta-rule and splitting (126), into two cases.
% 17.00/4.52 |-Branch one:
% 17.00/4.52 | (1281) all_0_142_142 = e11
% 17.00/4.52 |
% 17.00/4.53 | Equations (1281) can reduce 1178 to:
% 17.00/4.53 | (308) ~ (e11 = e10)
% 17.00/4.53 |
% 17.00/4.53 +-Applying beta-rule and splitting (95), into two cases.
% 17.00/4.53 |-Branch one:
% 17.00/4.53 | (1246) all_0_140_140 = e11
% 17.00/4.53 |
% 17.00/4.53 +-Applying beta-rule and splitting (1874), into two cases.
% 17.00/4.53 |-Branch one:
% 17.00/4.53 | (1224) ~ (all_0_140_140 = e11)
% 17.00/4.53 |
% 17.00/4.53 | Equations (1246) can reduce 1224 to:
% 17.00/4.53 | (397) $false
% 17.00/4.53 |
% 17.00/4.53 |-The branch is then unsatisfiable
% 17.00/4.53 |-Branch two:
% 17.00/4.53 | (1246) all_0_140_140 = e11
% 17.00/4.53 | (1265) ~ (all_0_142_142 = e11)
% 17.00/4.53 |
% 17.00/4.53 | Equations (1281) can reduce 1265 to:
% 17.00/4.53 | (397) $false
% 17.00/4.53 |
% 17.00/4.53 |-The branch is then unsatisfiable
% 17.00/4.53 |-Branch two:
% 17.00/4.53 | (1224) ~ (all_0_140_140 = e11)
% 17.00/4.53 | (1902) all_0_143_143 = e11 | all_0_147_147 = e11
% 17.00/4.53 |
% 17.00/4.53 +-Applying beta-rule and splitting (1416), into two cases.
% 17.00/4.53 |-Branch one:
% 17.00/4.53 | (1246) all_0_140_140 = e11
% 17.00/4.53 |
% 17.00/4.53 | Equations (1246) can reduce 1224 to:
% 17.00/4.53 | (397) $false
% 17.00/4.53 |
% 17.00/4.53 |-The branch is then unsatisfiable
% 17.00/4.53 |-Branch two:
% 17.00/4.53 | (1224) ~ (all_0_140_140 = e11)
% 17.00/4.53 | (1206) all_0_141_141 = e11
% 17.00/4.53 |
% 17.00/4.53 | Combining equations (1206,1147) yields a new equation:
% 17.00/4.53 | (1210) e11 = e10
% 17.00/4.53 |
% 17.00/4.53 | Simplifying 1210 yields:
% 17.00/4.53 | (1211) e11 = e10
% 17.00/4.53 |
% 17.00/4.53 | Equations (1211) can reduce 308 to:
% 17.00/4.53 | (397) $false
% 17.00/4.53 |
% 17.00/4.53 |-The branch is then unsatisfiable
% 17.00/4.53 |-Branch two:
% 17.00/4.53 | (1265) ~ (all_0_142_142 = e11)
% 17.00/4.53 | (1911) all_0_143_143 = e11 | all_0_144_144 = e11
% 17.00/4.53 |
% 17.00/4.53 +-Applying beta-rule and splitting (95), into two cases.
% 17.00/4.53 |-Branch one:
% 17.00/4.53 | (1246) all_0_140_140 = e11
% 17.00/4.53 |
% 17.00/4.53 | Equations (1246) can reduce 1217 to:
% 17.00/4.53 | (1266) ~ (e13 = e11)
% 17.00/4.53 |
% 17.00/4.53 | Simplifying 1266 yields:
% 17.00/4.53 | (363) ~ (e13 = e11)
% 17.00/4.53 |
% 17.00/4.53 | Equations (1246) can reduce 1148 to:
% 17.00/4.53 | (308) ~ (e11 = e10)
% 17.00/4.53 |
% 17.00/4.53 +-Applying beta-rule and splitting (58), into two cases.
% 17.00/4.53 |-Branch one:
% 17.00/4.53 | (1263) all_0_139_139 = e11
% 17.00/4.53 |
% 17.00/4.53 | Combining equations (1263,1272) yields a new equation:
% 17.00/4.53 | (1274) e13 = e11
% 17.00/4.53 |
% 17.00/4.53 | Equations (1274) can reduce 363 to:
% 17.00/4.53 | (397) $false
% 17.00/4.53 |
% 17.00/4.53 |-The branch is then unsatisfiable
% 17.00/4.53 |-Branch two:
% 17.00/4.53 | (1415) ~ (all_0_139_139 = e11)
% 17.00/4.53 | (1474) all_0_142_142 = e11 | all_0_146_146 = e11
% 17.00/4.53 |
% 17.00/4.53 +-Applying beta-rule and splitting (1474), into two cases.
% 17.00/4.53 |-Branch one:
% 17.00/4.53 | (1281) all_0_142_142 = e11
% 17.00/4.53 |
% 17.00/4.53 | Equations (1281) can reduce 1265 to:
% 17.00/4.53 | (397) $false
% 17.00/4.53 |
% 17.00/4.53 |-The branch is then unsatisfiable
% 17.00/4.53 |-Branch two:
% 17.00/4.53 | (1265) ~ (all_0_142_142 = e11)
% 17.00/4.53 | (1207) all_0_146_146 = e11
% 17.00/4.53 |
% 17.00/4.53 | Combining equations (1342,1207) yields a new equation:
% 17.00/4.53 | (1211) e11 = e10
% 17.00/4.53 |
% 17.00/4.53 | Equations (1211) can reduce 308 to:
% 17.00/4.53 | (397) $false
% 17.00/4.53 |
% 17.00/4.53 |-The branch is then unsatisfiable
% 17.00/4.53 |-Branch two:
% 17.00/4.53 | (1224) ~ (all_0_140_140 = e11)
% 17.00/4.53 | (1902) all_0_143_143 = e11 | all_0_147_147 = e11
% 17.00/4.53 |
% 17.00/4.53 +-Applying beta-rule and splitting (1416), into two cases.
% 17.00/4.53 |-Branch one:
% 17.00/4.53 | (1246) all_0_140_140 = e11
% 17.00/4.53 |
% 17.00/4.53 | Equations (1246) can reduce 1224 to:
% 17.00/4.53 | (397) $false
% 17.00/4.53 |
% 17.00/4.53 |-The branch is then unsatisfiable
% 17.00/4.53 |-Branch two:
% 17.00/4.53 | (1224) ~ (all_0_140_140 = e11)
% 17.00/4.53 | (1206) all_0_141_141 = e11
% 17.00/4.53 |
% 17.00/4.53 | Combining equations (1206,1147) yields a new equation:
% 17.00/4.53 | (1210) e11 = e10
% 17.00/4.53 |
% 17.00/4.53 | Simplifying 1210 yields:
% 17.00/4.53 | (1211) e11 = e10
% 17.00/4.53 |
% 17.00/4.53 | Equations (1211) can reduce 308 to:
% 17.00/4.53 | (397) $false
% 17.00/4.53 |
% 17.00/4.53 |-The branch is then unsatisfiable
% 17.00/4.53 |-Branch two:
% 17.00/4.53 | (1200) ~ (all_0_139_139 = e13)
% 17.00/4.53 | (1201) all_0_140_140 = e13
% 17.00/4.53 |
% 17.00/4.53 | Equations (1201) can reduce 1217 to:
% 17.00/4.53 | (397) $false
% 17.00/4.53 |
% 17.00/4.53 |-The branch is then unsatisfiable
% 17.00/4.53 |-Branch two:
% 17.00/4.53 | (1939) all_0_143_143 = e11 & ( ~ (all_0_144_144 = e12) | ~ (all_0_147_147 = e12)) & ( ~ (all_0_144_144 = e11) | ~ (all_0_147_147 = e11)) & ( ~ (all_0_144_144 = e10) | ~ (all_0_147_147 = e10))
% 17.00/4.53 |
% 17.00/4.53 | Applying alpha-rule on (1939) yields:
% 17.00/4.53 | (1940) all_0_143_143 = e11
% 17.00/4.53 | (1941) ~ (all_0_144_144 = e12) | ~ (all_0_147_147 = e12)
% 17.00/4.53 | (1942) ~ (all_0_144_144 = e11) | ~ (all_0_147_147 = e11)
% 17.00/4.53 | (1943) ~ (all_0_144_144 = e10) | ~ (all_0_147_147 = e10)
% 17.00/4.53 |
% 17.00/4.53 +-Applying beta-rule and splitting (1941), into two cases.
% 17.00/4.53 |-Branch one:
% 17.00/4.53 | (1208) ~ (all_0_144_144 = e12)
% 17.00/4.53 |
% 17.00/4.53 | Equations (1218) can reduce 1208 to:
% 17.00/4.53 | (397) $false
% 17.00/4.53 |
% 17.00/4.53 |-The branch is then unsatisfiable
% 17.00/4.53 |-Branch two:
% 17.00/4.53 | (1218) all_0_144_144 = e12
% 17.00/4.53 | (1188) ~ (all_0_147_147 = e12)
% 17.00/4.53 |
% 17.00/4.53 | Equations (1215) can reduce 1188 to:
% 17.00/4.53 | (397) $false
% 17.00/4.53 |
% 17.00/4.53 |-The branch is then unsatisfiable
% 17.00/4.53 |-Branch two:
% 17.00/4.53 | (1949) all_0_143_143 = e10 & ( ~ (all_0_145_145 = e10) | ~ (all_0_151_151 = e10))
% 17.00/4.53 |
% 17.00/4.53 | Applying alpha-rule on (1949) yields:
% 17.00/4.53 | (1252) all_0_143_143 = e10
% 17.00/4.53 | (1951) ~ (all_0_145_145 = e10) | ~ (all_0_151_151 = e10)
% 17.00/4.53 |
% 17.00/4.53 | Equations (1252) can reduce 1424 to:
% 17.00/4.53 | (397) $false
% 17.00/4.53 |
% 17.00/4.53 |-The branch is then unsatisfiable
% 17.00/4.53 |-Branch two:
% 17.00/4.53 | (1953) all_0_148_148 = e12 & ( ~ (all_0_144_144 = e12) | ~ (all_0_147_147 = e12)) & ( ~ (all_0_144_144 = e11) | ~ (all_0_147_147 = e11)) & ( ~ (all_0_144_144 = e10) | ~ (all_0_147_147 = e10))
% 17.00/4.53 |
% 17.00/4.53 | Applying alpha-rule on (1953) yields:
% 17.00/4.53 | (1235) all_0_148_148 = e12
% 17.00/4.53 | (1941) ~ (all_0_144_144 = e12) | ~ (all_0_147_147 = e12)
% 17.00/4.53 | (1942) ~ (all_0_144_144 = e11) | ~ (all_0_147_147 = e11)
% 17.00/4.53 | (1943) ~ (all_0_144_144 = e10) | ~ (all_0_147_147 = e10)
% 17.00/4.53 |
% 17.00/4.53 | Combining equations (1841,1235) yields a new equation:
% 17.00/4.53 | (1232) e12 = e11
% 17.00/4.53 |
% 17.00/4.53 | Equations (1232) can reduce 321 to:
% 17.00/4.53 | (397) $false
% 17.00/4.53 |
% 17.00/4.53 |-The branch is then unsatisfiable
% 17.00/4.53 |-Branch two:
% 17.00/4.53 | (1188) ~ (all_0_147_147 = e12)
% 17.00/4.53 | (1235) all_0_148_148 = e12
% 17.00/4.53 |
% 17.00/4.53 | Combining equations (1841,1235) yields a new equation:
% 17.00/4.53 | (1232) e12 = e11
% 17.00/4.53 |
% 17.00/4.53 | Equations (1232) can reduce 321 to:
% 17.00/4.53 | (397) $false
% 17.00/4.53 |
% 17.00/4.53 |-The branch is then unsatisfiable
% 17.00/4.53 |-Branch two:
% 17.00/4.53 | (1209) ~ (all_0_148_148 = e11)
% 17.00/4.53 | (1235) all_0_148_148 = e12
% 17.00/4.53 |
% 17.00/4.53 | Equations (1235) can reduce 1830 to:
% 17.00/4.53 | (397) $false
% 17.00/4.53 |
% 17.00/4.53 |-The branch is then unsatisfiable
% 17.00/4.53 |-Branch two:
% 17.00/4.53 | (1208) ~ (all_0_144_144 = e12)
% 17.00/4.53 | (1235) all_0_148_148 = e12
% 17.00/4.53 |
% 17.00/4.53 | Equations (1235) can reduce 158 to:
% 17.00/4.53 | (1208) ~ (all_0_144_144 = e12)
% 17.00/4.53 |
% 17.00/4.53 +-Applying beta-rule and splitting (189), into two cases.
% 17.00/4.53 |-Branch one:
% 17.00/4.53 | (1699) all_0_144_144 = e10
% 17.00/4.53 |
% 17.00/4.53 | Equations (1699) can reduce 1150 to:
% 17.00/4.53 | (397) $false
% 17.00/4.53 |
% 17.00/4.53 |-The branch is then unsatisfiable
% 17.00/4.53 |-Branch two:
% 17.00/4.53 | (1150) ~ (all_0_144_144 = e10)
% 17.00/4.53 | (1973) all_0_144_144 = e12 | all_0_144_144 = e11
% 17.00/4.53 |
% 17.00/4.53 +-Applying beta-rule and splitting (147), into two cases.
% 17.00/4.53 |-Branch one:
% 17.00/4.53 | (1285) all_0_142_142 = e12
% 17.00/4.53 |
% 17.00/4.53 | Equations (1285) can reduce 1381 to:
% 17.00/4.53 | (397) $false
% 17.00/4.53 |
% 17.00/4.53 |-The branch is then unsatisfiable
% 17.00/4.53 |-Branch two:
% 17.00/4.53 | (1381) ~ (all_0_142_142 = e12)
% 17.00/4.53 | (1382) all_0_143_143 = e12 | all_0_144_144 = e12
% 17.00/4.53 |
% 17.00/4.54 +-Applying beta-rule and splitting (1382), into two cases.
% 17.00/4.54 |-Branch one:
% 17.00/4.54 | (1383) all_0_143_143 = e12
% 17.00/4.54 |
% 17.00/4.54 | Equations (1383) can reduce 367 to:
% 17.00/4.54 | (242) ~ (all_0_140_140 = e12)
% 17.00/4.54 |
% 17.00/4.54 | Equations (1383) can reduce 355 to:
% 17.00/4.54 | (1381) ~ (all_0_142_142 = e12)
% 17.00/4.54 |
% 17.00/4.54 | Equations (1383) can reduce 7 to:
% 17.00/4.54 | (1981) ~ (all_0_144_144 = e12)
% 17.00/4.54 |
% 17.00/4.54 | Simplifying 1981 yields:
% 17.00/4.54 | (1208) ~ (all_0_144_144 = e12)
% 17.00/4.54 |
% 17.00/4.54 | Equations (1383) can reduce 85 to:
% 17.00/4.54 | (1983) ~ (all_0_147_147 = e12)
% 17.00/4.54 |
% 17.00/4.54 | Simplifying 1983 yields:
% 17.00/4.54 | (1188) ~ (all_0_147_147 = e12)
% 17.00/4.54 |
% 17.00/4.54 | Equations (1383) can reduce 1424 to:
% 17.00/4.54 | (170) ~ (e12 = e10)
% 17.00/4.54 |
% 17.00/4.54 +-Applying beta-rule and splitting (1973), into two cases.
% 17.00/4.54 |-Branch one:
% 17.00/4.54 | (1221) all_0_144_144 = e11
% 17.00/4.54 |
% 17.00/4.54 | Equations (1221) can reduce 134 to:
% 17.00/4.54 | (1265) ~ (all_0_142_142 = e11)
% 17.00/4.54 |
% 17.00/4.54 | Equations (1221) can reduce 104 to:
% 17.00/4.54 | (1266) ~ (e13 = e11)
% 17.00/4.54 |
% 17.00/4.54 | Simplifying 1266 yields:
% 17.00/4.54 | (363) ~ (e13 = e11)
% 17.00/4.54 |
% 17.00/4.54 | Equations (1221) can reduce 1150 to:
% 17.00/4.54 | (308) ~ (e11 = e10)
% 17.00/4.54 |
% 17.00/4.54 +-Applying beta-rule and splitting (58), into two cases.
% 17.00/4.54 |-Branch one:
% 17.00/4.54 | (1263) all_0_139_139 = e11
% 17.00/4.54 |
% 17.00/4.54 +-Applying beta-rule and splitting (27), into two cases.
% 17.00/4.54 |-Branch one:
% 17.00/4.54 | (1272) all_0_139_139 = e13
% 17.00/4.54 |
% 17.00/4.54 | Combining equations (1272,1263) yields a new equation:
% 17.00/4.54 | (1273) e13 = e11
% 17.00/4.54 |
% 17.00/4.54 | Simplifying 1273 yields:
% 17.00/4.54 | (1274) e13 = e11
% 17.00/4.54 |
% 17.00/4.54 | Equations (1274) can reduce 363 to:
% 17.00/4.54 | (397) $false
% 17.00/4.54 |
% 17.00/4.54 |-The branch is then unsatisfiable
% 17.00/4.54 |-Branch two:
% 17.00/4.54 | (1200) ~ (all_0_139_139 = e13)
% 17.00/4.54 | (1201) all_0_140_140 = e13
% 17.00/4.54 |
% 17.00/4.54 | Equations (1201) can reduce 75 to:
% 17.00/4.54 | (1998) ~ (all_0_147_147 = e13)
% 17.00/4.54 |
% 17.00/4.54 | Simplifying 1998 yields:
% 17.00/4.54 | (1999) ~ (all_0_147_147 = e13)
% 17.00/4.54 |
% 17.00/4.54 | Equations (1201) can reduce 242 to:
% 17.00/4.54 | (300) ~ (e13 = e12)
% 17.00/4.54 |
% 17.00/4.54 | Equations (1201) can reduce 1148 to:
% 17.00/4.54 | (208) ~ (e13 = e10)
% 17.00/4.54 |
% 17.00/4.54 +-Applying beta-rule and splitting (64), into two cases.
% 17.00/4.54 |-Branch one:
% 17.00/4.54 | (1432) all_0_147_147 = e10
% 17.00/4.54 |
% 17.00/4.54 | Equations (1432) can reduce 1435 to:
% 17.00/4.54 | (397) $false
% 17.00/4.54 |
% 17.00/4.54 |-The branch is then unsatisfiable
% 17.00/4.54 |-Branch two:
% 17.00/4.54 | (1435) ~ (all_0_147_147 = e10)
% 17.00/4.54 | (2005) all_0_147_147 = e13 | all_0_147_147 = e12 | all_0_147_147 = e11
% 17.00/4.54 |
% 17.00/4.54 +-Applying beta-rule and splitting (340), into two cases.
% 17.00/4.54 |-Branch one:
% 17.00/4.54 | (1203) all_0_142_142 = e13
% 17.00/4.54 |
% 17.00/4.54 | Equations (1203) can reduce 1381 to:
% 17.00/4.54 | (300) ~ (e13 = e12)
% 17.00/4.54 |
% 17.00/4.54 +-Applying beta-rule and splitting (2005), into two cases.
% 17.00/4.54 |-Branch one:
% 17.00/4.54 | (1222) all_0_147_147 = e11
% 17.00/4.54 |
% 17.00/4.54 | Equations (1222) can reduce 1188 to:
% 17.00/4.54 | (1226) ~ (e12 = e11)
% 17.00/4.54 |
% 17.00/4.54 | Simplifying 1226 yields:
% 17.00/4.54 | (321) ~ (e12 = e11)
% 17.00/4.54 |
% 17.00/4.54 | Equations (1222) can reduce 1435 to:
% 17.00/4.54 | (308) ~ (e11 = e10)
% 17.00/4.54 |
% 17.00/4.54 +-Applying beta-rule and splitting (258), into two cases.
% 17.00/4.54 |-Branch one:
% 17.00/4.54 | (1850) ~ (all_0_149_149 = e13)
% 17.00/4.54 |
% 17.00/4.54 | Equations (1353) can reduce 1850 to:
% 17.00/4.54 | (397) $false
% 17.00/4.54 |
% 17.00/4.54 |-The branch is then unsatisfiable
% 17.00/4.54 |-Branch two:
% 17.00/4.54 | (1353) all_0_149_149 = e13
% 17.00/4.54 | (1853) (all_0_139_139 = e11 & ( ~ (all_0_141_141 = e11) | ~ (all_0_146_146 = e11)) & ( ~ (all_0_141_141 = e10) | ~ (all_0_146_146 = e10))) | (all_0_139_139 = e10 & ~ (all_0_150_150 = e12)) | (all_0_143_143 = e13 & ( ~ (all_0_140_140 = e13) | ~ (all_0_142_142 = e13)) & ( ~ (all_0_140_140 = e11) | ~ (all_0_142_142 = e11)) & ( ~ (all_0_140_140 = e10) | ~ (all_0_142_142 = e10))) | (all_0_143_143 = e11 & ( ~ (all_0_144_144 = e12) | ~ (all_0_147_147 = e12)) & ( ~ (all_0_144_144 = e11) | ~ (all_0_147_147 = e11)) & ( ~ (all_0_144_144 = e10) | ~ (all_0_147_147 = e10))) | (all_0_143_143 = e10 & ( ~ (all_0_145_145 = e10) | ~ (all_0_151_151 = e10))) | (all_0_148_148 = e12 & ( ~ (all_0_144_144 = e12) | ~ (all_0_147_147 = e12)) & ( ~ (all_0_144_144 = e11) | ~ (all_0_147_147 = e11)) & ( ~ (all_0_144_144 = e10) | ~ (all_0_147_147 = e10)))
% 17.00/4.54 |
% 17.00/4.54 +-Applying beta-rule and splitting (1853), into two cases.
% 17.00/4.54 |-Branch one:
% 17.00/4.54 | (1854) (all_0_139_139 = e11 & ( ~ (all_0_141_141 = e11) | ~ (all_0_146_146 = e11)) & ( ~ (all_0_141_141 = e10) | ~ (all_0_146_146 = e10))) | (all_0_139_139 = e10 & ~ (all_0_150_150 = e12)) | (all_0_143_143 = e13 & ( ~ (all_0_140_140 = e13) | ~ (all_0_142_142 = e13)) & ( ~ (all_0_140_140 = e11) | ~ (all_0_142_142 = e11)) & ( ~ (all_0_140_140 = e10) | ~ (all_0_142_142 = e10))) | (all_0_143_143 = e11 & ( ~ (all_0_144_144 = e12) | ~ (all_0_147_147 = e12)) & ( ~ (all_0_144_144 = e11) | ~ (all_0_147_147 = e11)) & ( ~ (all_0_144_144 = e10) | ~ (all_0_147_147 = e10))) | (all_0_143_143 = e10 & ( ~ (all_0_145_145 = e10) | ~ (all_0_151_151 = e10)))
% 17.00/4.54 |
% 17.00/4.54 +-Applying beta-rule and splitting (1854), into two cases.
% 17.00/4.54 |-Branch one:
% 17.00/4.54 | (1855) (all_0_139_139 = e11 & ( ~ (all_0_141_141 = e11) | ~ (all_0_146_146 = e11)) & ( ~ (all_0_141_141 = e10) | ~ (all_0_146_146 = e10))) | (all_0_139_139 = e10 & ~ (all_0_150_150 = e12)) | (all_0_143_143 = e13 & ( ~ (all_0_140_140 = e13) | ~ (all_0_142_142 = e13)) & ( ~ (all_0_140_140 = e11) | ~ (all_0_142_142 = e11)) & ( ~ (all_0_140_140 = e10) | ~ (all_0_142_142 = e10))) | (all_0_143_143 = e11 & ( ~ (all_0_144_144 = e12) | ~ (all_0_147_147 = e12)) & ( ~ (all_0_144_144 = e11) | ~ (all_0_147_147 = e11)) & ( ~ (all_0_144_144 = e10) | ~ (all_0_147_147 = e10)))
% 17.00/4.54 |
% 17.00/4.54 +-Applying beta-rule and splitting (1855), into two cases.
% 17.00/4.54 |-Branch one:
% 17.00/4.54 | (1856) (all_0_139_139 = e11 & ( ~ (all_0_141_141 = e11) | ~ (all_0_146_146 = e11)) & ( ~ (all_0_141_141 = e10) | ~ (all_0_146_146 = e10))) | (all_0_139_139 = e10 & ~ (all_0_150_150 = e12)) | (all_0_143_143 = e13 & ( ~ (all_0_140_140 = e13) | ~ (all_0_142_142 = e13)) & ( ~ (all_0_140_140 = e11) | ~ (all_0_142_142 = e11)) & ( ~ (all_0_140_140 = e10) | ~ (all_0_142_142 = e10)))
% 17.00/4.54 |
% 17.00/4.54 +-Applying beta-rule and splitting (1856), into two cases.
% 17.00/4.54 |-Branch one:
% 17.00/4.54 | (1857) (all_0_139_139 = e11 & ( ~ (all_0_141_141 = e11) | ~ (all_0_146_146 = e11)) & ( ~ (all_0_141_141 = e10) | ~ (all_0_146_146 = e10))) | (all_0_139_139 = e10 & ~ (all_0_150_150 = e12))
% 17.00/4.54 |
% 17.00/4.54 +-Applying beta-rule and splitting (1857), into two cases.
% 17.00/4.54 |-Branch one:
% 17.00/4.54 | (1858) all_0_139_139 = e11 & ( ~ (all_0_141_141 = e11) | ~ (all_0_146_146 = e11)) & ( ~ (all_0_141_141 = e10) | ~ (all_0_146_146 = e10))
% 17.00/4.54 |
% 17.00/4.54 | Applying alpha-rule on (1858) yields:
% 17.00/4.54 | (1263) all_0_139_139 = e11
% 17.00/4.54 | (1860) ~ (all_0_141_141 = e11) | ~ (all_0_146_146 = e11)
% 17.00/4.54 | (1861) ~ (all_0_141_141 = e10) | ~ (all_0_146_146 = e10)
% 17.00/4.54 |
% 17.00/4.54 +-Applying beta-rule and splitting (1861), into two cases.
% 17.00/4.54 |-Branch one:
% 17.00/4.54 | (1862) ~ (all_0_141_141 = e10)
% 17.00/4.54 |
% 17.00/4.54 | Equations (1147) can reduce 1862 to:
% 17.00/4.54 | (397) $false
% 17.00/4.54 |
% 17.00/4.54 |-The branch is then unsatisfiable
% 17.00/4.54 |-Branch two:
% 17.00/4.54 | (1147) all_0_141_141 = e10
% 17.00/4.54 | (1865) ~ (all_0_146_146 = e10)
% 17.00/4.54 |
% 17.00/4.54 | Equations (1342) can reduce 1865 to:
% 17.00/4.54 | (397) $false
% 17.00/4.54 |
% 17.00/4.54 |-The branch is then unsatisfiable
% 17.00/4.54 |-Branch two:
% 17.00/4.54 | (1867) all_0_139_139 = e10 & ~ (all_0_150_150 = e12)
% 17.00/4.54 |
% 17.00/4.54 | Applying alpha-rule on (1867) yields:
% 17.00/4.54 | (1461) all_0_139_139 = e10
% 17.00/4.54 | (1869) ~ (all_0_150_150 = e12)
% 17.00/4.54 |
% 17.00/4.54 | Combining equations (1461,1263) yields a new equation:
% 17.00/4.54 | (1211) e11 = e10
% 17.00/4.54 |
% 17.00/4.54 | Equations (1211) can reduce 308 to:
% 17.00/4.54 | (397) $false
% 17.00/4.54 |
% 17.00/4.54 |-The branch is then unsatisfiable
% 17.00/4.54 |-Branch two:
% 17.00/4.54 | (1871) all_0_143_143 = e13 & ( ~ (all_0_140_140 = e13) | ~ (all_0_142_142 = e13)) & ( ~ (all_0_140_140 = e11) | ~ (all_0_142_142 = e11)) & ( ~ (all_0_140_140 = e10) | ~ (all_0_142_142 = e10))
% 17.00/4.54 |
% 17.00/4.54 | Applying alpha-rule on (1871) yields:
% 17.00/4.54 | (1787) all_0_143_143 = e13
% 17.00/4.54 | (1873) ~ (all_0_140_140 = e13) | ~ (all_0_142_142 = e13)
% 17.00/4.54 | (1874) ~ (all_0_140_140 = e11) | ~ (all_0_142_142 = e11)
% 17.00/4.54 | (1875) ~ (all_0_140_140 = e10) | ~ (all_0_142_142 = e10)
% 17.00/4.54 |
% 17.00/4.54 | Combining equations (1787,1383) yields a new equation:
% 17.00/4.54 | (1309) e13 = e12
% 17.00/4.54 |
% 17.00/4.54 | Simplifying 1309 yields:
% 17.00/4.54 | (1310) e13 = e12
% 17.00/4.54 |
% 17.00/4.54 | Equations (1310) can reduce 300 to:
% 17.00/4.54 | (397) $false
% 17.00/4.54 |
% 17.00/4.54 |-The branch is then unsatisfiable
% 17.00/4.54 |-Branch two:
% 17.00/4.54 | (1939) all_0_143_143 = e11 & ( ~ (all_0_144_144 = e12) | ~ (all_0_147_147 = e12)) & ( ~ (all_0_144_144 = e11) | ~ (all_0_147_147 = e11)) & ( ~ (all_0_144_144 = e10) | ~ (all_0_147_147 = e10))
% 17.00/4.54 |
% 17.00/4.54 | Applying alpha-rule on (1939) yields:
% 17.00/4.54 | (1940) all_0_143_143 = e11
% 17.00/4.54 | (1941) ~ (all_0_144_144 = e12) | ~ (all_0_147_147 = e12)
% 17.00/4.54 | (1942) ~ (all_0_144_144 = e11) | ~ (all_0_147_147 = e11)
% 17.00/4.54 | (1943) ~ (all_0_144_144 = e10) | ~ (all_0_147_147 = e10)
% 17.00/4.54 |
% 17.00/4.54 | Combining equations (1940,1383) yields a new equation:
% 17.00/4.54 | (1232) e12 = e11
% 17.00/4.54 |
% 17.00/4.54 | Equations (1232) can reduce 321 to:
% 17.00/4.54 | (397) $false
% 17.00/4.54 |
% 17.00/4.54 |-The branch is then unsatisfiable
% 17.00/4.54 |-Branch two:
% 17.00/4.54 | (1949) all_0_143_143 = e10 & ( ~ (all_0_145_145 = e10) | ~ (all_0_151_151 = e10))
% 17.00/4.54 |
% 17.00/4.54 | Applying alpha-rule on (1949) yields:
% 17.00/4.54 | (1252) all_0_143_143 = e10
% 17.00/4.54 | (1951) ~ (all_0_145_145 = e10) | ~ (all_0_151_151 = e10)
% 17.00/4.54 |
% 17.00/4.54 | Combining equations (1252,1383) yields a new equation:
% 17.00/4.54 | (1360) e12 = e10
% 17.00/4.54 |
% 17.00/4.54 | Equations (1360) can reduce 170 to:
% 17.00/4.54 | (397) $false
% 17.00/4.54 |
% 17.00/4.54 |-The branch is then unsatisfiable
% 17.00/4.54 |-Branch two:
% 17.00/4.54 | (1953) all_0_148_148 = e12 & ( ~ (all_0_144_144 = e12) | ~ (all_0_147_147 = e12)) & ( ~ (all_0_144_144 = e11) | ~ (all_0_147_147 = e11)) & ( ~ (all_0_144_144 = e10) | ~ (all_0_147_147 = e10))
% 17.00/4.54 |
% 17.00/4.54 | Applying alpha-rule on (1953) yields:
% 17.00/4.54 | (1235) all_0_148_148 = e12
% 17.00/4.54 | (1941) ~ (all_0_144_144 = e12) | ~ (all_0_147_147 = e12)
% 17.00/4.54 | (1942) ~ (all_0_144_144 = e11) | ~ (all_0_147_147 = e11)
% 17.00/4.54 | (1943) ~ (all_0_144_144 = e10) | ~ (all_0_147_147 = e10)
% 17.00/4.54 |
% 17.00/4.54 +-Applying beta-rule and splitting (1942), into two cases.
% 17.00/4.54 |-Branch one:
% 17.00/4.54 | (2059) ~ (all_0_144_144 = e11)
% 17.00/4.54 |
% 17.00/4.55 | Equations (1221) can reduce 2059 to:
% 17.00/4.55 | (397) $false
% 17.00/4.55 |
% 17.00/4.55 |-The branch is then unsatisfiable
% 17.00/4.55 |-Branch two:
% 17.00/4.55 | (1221) all_0_144_144 = e11
% 17.00/4.55 | (1842) ~ (all_0_147_147 = e11)
% 17.00/4.55 |
% 17.00/4.55 | Equations (1222) can reduce 1842 to:
% 17.00/4.55 | (397) $false
% 17.00/4.55 |
% 17.00/4.55 |-The branch is then unsatisfiable
% 17.00/4.55 |-Branch two:
% 17.00/4.55 | (1842) ~ (all_0_147_147 = e11)
% 17.00/4.55 | (2065) all_0_147_147 = e13 | all_0_147_147 = e12
% 17.00/4.55 |
% 17.00/4.55 +-Applying beta-rule and splitting (2065), into two cases.
% 17.00/4.55 |-Branch one:
% 17.00/4.55 | (1215) all_0_147_147 = e12
% 17.00/4.55 |
% 17.00/4.55 | Equations (1215) can reduce 1188 to:
% 17.00/4.55 | (397) $false
% 17.00/4.55 |
% 17.00/4.55 |-The branch is then unsatisfiable
% 17.00/4.55 |-Branch two:
% 17.00/4.55 | (1188) ~ (all_0_147_147 = e12)
% 17.00/4.55 | (2069) all_0_147_147 = e13
% 17.00/4.55 |
% 17.00/4.55 | Equations (2069) can reduce 1999 to:
% 17.00/4.55 | (397) $false
% 17.00/4.55 |
% 17.00/4.55 |-The branch is then unsatisfiable
% 17.00/4.55 |-Branch two:
% 17.00/4.55 | (1168) ~ (all_0_142_142 = e13)
% 17.00/4.55 | (1786) all_0_143_143 = e13 | all_0_145_145 = e13
% 17.00/4.55 |
% 17.00/4.55 +-Applying beta-rule and splitting (1786), into two cases.
% 17.00/4.55 |-Branch one:
% 17.00/4.55 | (1787) all_0_143_143 = e13
% 17.00/4.55 |
% 17.00/4.55 | Combining equations (1787,1383) yields a new equation:
% 17.00/4.55 | (1309) e13 = e12
% 17.12/4.55 |
% 17.12/4.55 | Simplifying 1309 yields:
% 17.12/4.55 | (1310) e13 = e12
% 17.12/4.55 |
% 17.12/4.55 | Equations (1310) can reduce 300 to:
% 17.12/4.55 | (397) $false
% 17.12/4.55 |
% 17.12/4.55 |-The branch is then unsatisfiable
% 17.12/4.55 |-Branch two:
% 17.12/4.55 | (1778) ~ (all_0_143_143 = e13)
% 17.12/4.55 | (1167) all_0_145_145 = e13
% 17.12/4.55 |
% 17.12/4.55 | Combining equations (1164,1167) yields a new equation:
% 17.12/4.55 | (1343) e13 = e10
% 17.12/4.55 |
% 17.12/4.55 | Equations (1343) can reduce 208 to:
% 17.12/4.55 | (397) $false
% 17.12/4.55 |
% 17.12/4.55 |-The branch is then unsatisfiable
% 17.12/4.55 |-Branch two:
% 17.12/4.55 | (1415) ~ (all_0_139_139 = e11)
% 17.12/4.55 | (1474) all_0_142_142 = e11 | all_0_146_146 = e11
% 17.12/4.55 |
% 17.12/4.55 +-Applying beta-rule and splitting (1474), into two cases.
% 17.12/4.55 |-Branch one:
% 17.12/4.55 | (1281) all_0_142_142 = e11
% 17.12/4.55 |
% 17.12/4.55 | Equations (1281) can reduce 1265 to:
% 17.12/4.55 | (397) $false
% 17.12/4.55 |
% 17.12/4.55 |-The branch is then unsatisfiable
% 17.12/4.55 |-Branch two:
% 17.12/4.55 | (1265) ~ (all_0_142_142 = e11)
% 17.12/4.55 | (1207) all_0_146_146 = e11
% 17.12/4.55 |
% 17.12/4.55 | Combining equations (1342,1207) yields a new equation:
% 17.12/4.55 | (1211) e11 = e10
% 17.12/4.55 |
% 17.12/4.55 | Equations (1211) can reduce 308 to:
% 17.12/4.55 | (397) $false
% 17.12/4.55 |
% 17.12/4.55 |-The branch is then unsatisfiable
% 17.12/4.55 |-Branch two:
% 17.12/4.55 | (2059) ~ (all_0_144_144 = e11)
% 17.12/4.55 | (1218) all_0_144_144 = e12
% 17.12/4.55 |
% 17.12/4.55 | Equations (1218) can reduce 1208 to:
% 17.12/4.55 | (397) $false
% 17.12/4.55 |
% 17.12/4.55 |-The branch is then unsatisfiable
% 17.12/4.55 |-Branch two:
% 17.12/4.55 | (1187) ~ (all_0_143_143 = e12)
% 17.12/4.55 | (1218) all_0_144_144 = e12
% 17.12/4.55 |
% 17.12/4.55 | Equations (1218) can reduce 1208 to:
% 17.12/4.55 | (397) $false
% 17.12/4.55 |
% 17.12/4.55 |-The branch is then unsatisfiable
% 17.12/4.55 |-Branch two:
% 17.12/4.55 | (1865) ~ (all_0_146_146 = e10)
% 17.12/4.55 | (2096) all_0_147_147 = e10 | all_0_148_148 = e10 | all_0_149_149 = e10
% 17.12/4.55 |
% 17.12/4.55 +-Applying beta-rule and splitting (2096), into two cases.
% 17.12/4.55 |-Branch one:
% 17.12/4.55 | (1432) all_0_147_147 = e10
% 17.12/4.55 |
% 17.12/4.55 | Equations (1432) can reduce 1435 to:
% 17.12/4.55 | (397) $false
% 17.12/4.55 |
% 17.12/4.55 |-The branch is then unsatisfiable
% 17.12/4.55 |-Branch two:
% 17.12/4.55 | (1435) ~ (all_0_147_147 = e10)
% 17.12/4.55 | (2100) all_0_148_148 = e10 | all_0_149_149 = e10
% 17.12/4.55 |
% 17.12/4.55 +-Applying beta-rule and splitting (2100), into two cases.
% 17.12/4.55 |-Branch one:
% 17.12/4.55 | (1832) all_0_148_148 = e10
% 17.12/4.55 |
% 17.12/4.55 | Equations (1832) can reduce 1152 to:
% 17.12/4.55 | (397) $false
% 17.12/4.55 |
% 17.12/4.55 |-The branch is then unsatisfiable
% 17.12/4.55 |-Branch two:
% 17.12/4.55 | (1152) ~ (all_0_148_148 = e10)
% 17.12/4.55 | (1158) all_0_149_149 = e10
% 17.12/4.55 |
% 17.12/4.55 | Combining equations (1353,1158) yields a new equation:
% 17.12/4.55 | (1371) e13 = e10
% 17.12/4.55 |
% 17.12/4.55 | Simplifying 1371 yields:
% 17.12/4.55 | (1343) e13 = e10
% 17.12/4.55 |
% 17.12/4.55 | Equations (1343) can reduce 208 to:
% 17.12/4.55 | (397) $false
% 17.12/4.55 |
% 17.12/4.55 |-The branch is then unsatisfiable
% 17.12/4.55 |-Branch two:
% 17.12/4.55 | (1160) ~ (all_0_145_145 = e10)
% 17.12/4.55 | (1158) all_0_149_149 = e10
% 17.12/4.55 |
% 17.12/4.55 | Combining equations (1158,1353) yields a new equation:
% 17.12/4.55 | (1343) e13 = e10
% 17.12/4.55 |
% 17.12/4.55 | Equations (1343) can reduce 208 to:
% 17.12/4.55 | (397) $false
% 17.12/4.55 |
% 17.12/4.55 |-The branch is then unsatisfiable
% 17.12/4.55 |-Branch two:
% 17.12/4.55 | (1862) ~ (all_0_141_141 = e10)
% 17.12/4.55 | (1206) all_0_141_141 = e11
% 17.12/4.55 |
% 17.12/4.55 | Equations (1206) can reduce 349 to:
% 17.12/4.55 | (1415) ~ (all_0_139_139 = e11)
% 17.12/4.55 |
% 17.12/4.55 | Equations (1206) can reduce 305 to:
% 17.12/4.55 | (1224) ~ (all_0_140_140 = e11)
% 17.12/4.55 |
% 17.12/4.55 | Equations (1206) can reduce 83 to:
% 17.12/4.55 | (2116) ~ (all_0_144_144 = e11)
% 17.12/4.55 |
% 17.12/4.55 | Simplifying 2116 yields:
% 17.12/4.55 | (2059) ~ (all_0_144_144 = e11)
% 17.12/4.55 |
% 17.12/4.55 | Equations (1206) can reduce 145 to:
% 17.12/4.55 | (1758) ~ (all_0_148_148 = e11)
% 17.12/4.55 |
% 17.12/4.55 | Simplifying 1758 yields:
% 17.12/4.55 | (1209) ~ (all_0_148_148 = e11)
% 17.12/4.55 |
% 17.12/4.55 | From (1206) and (151) follows:
% 17.12/4.55 | (2120) op1(e13, e11) = e11
% 17.12/4.55 |
% 17.12/4.55 | From (1206) and (123) follows:
% 17.12/4.55 | (2121) op1(e11, e11) = all_0_115_115
% 17.12/4.55 |
% 17.12/4.55 | Instantiating formula (387) with e11, e11, all_0_115_115, all_0_148_148 and discharging atoms op1(e11, e11) = all_0_115_115, op1(e11, e11) = all_0_148_148, yields:
% 17.12/4.55 | (2122) all_0_115_115 = all_0_148_148
% 17.12/4.55 |
% 17.12/4.55 +-Applying beta-rule and splitting (127), into two cases.
% 17.12/4.55 |-Branch one:
% 17.12/4.55 | (1158) all_0_149_149 = e10
% 17.12/4.55 |
% 17.12/4.55 | Equations (1158) can reduce 33 to:
% 17.12/4.55 | (1160) ~ (all_0_145_145 = e10)
% 17.12/4.55 |
% 17.12/4.55 | Equations (1158) can reduce 86 to:
% 17.12/4.55 | (1865) ~ (all_0_146_146 = e10)
% 17.12/4.55 |
% 17.12/4.55 | Equations (1158) can reduce 266 to:
% 17.12/4.55 | (1435) ~ (all_0_147_147 = e10)
% 17.12/4.55 |
% 17.12/4.55 | Equations (1158) can reduce 118 to:
% 17.12/4.55 | (1152) ~ (all_0_148_148 = e10)
% 17.12/4.55 |
% 17.12/4.55 +-Applying beta-rule and splitting (211), into two cases.
% 17.12/4.55 |-Branch one:
% 17.12/4.55 | (1164) all_0_145_145 = e10
% 17.12/4.55 |
% 17.12/4.55 | Equations (1164) can reduce 1160 to:
% 17.12/4.55 | (397) $false
% 17.12/4.55 |
% 17.12/4.55 |-The branch is then unsatisfiable
% 17.12/4.55 |-Branch two:
% 17.12/4.55 | (1160) ~ (all_0_145_145 = e10)
% 17.12/4.55 | (1167) all_0_145_145 = e13
% 17.12/4.55 |
% 17.12/4.55 | Equations (1167) can reduce 268 to:
% 17.12/4.55 | (1168) ~ (all_0_142_142 = e13)
% 17.12/4.55 |
% 17.12/4.55 | Equations (1167) can reduce 260 to:
% 17.12/4.55 | (104) ~ (all_0_144_144 = e13)
% 17.12/4.55 |
% 17.12/4.55 +-Applying beta-rule and splitting (299), into two cases.
% 17.12/4.55 |-Branch one:
% 17.12/4.55 | (1832) all_0_148_148 = e10
% 17.12/4.55 |
% 17.12/4.55 | Equations (1832) can reduce 1152 to:
% 17.12/4.55 | (397) $false
% 17.12/4.55 |
% 17.12/4.55 |-The branch is then unsatisfiable
% 17.12/4.55 |-Branch two:
% 17.12/4.56 | (1152) ~ (all_0_148_148 = e10)
% 17.12/4.56 | (1835) all_0_148_148 = e12 | all_0_148_148 = e11
% 17.12/4.56 |
% 17.12/4.56 +-Applying beta-rule and splitting (1835), into two cases.
% 17.12/4.56 |-Branch one:
% 17.12/4.56 | (1841) all_0_148_148 = e11
% 17.12/4.56 |
% 17.12/4.56 | Equations (1841) can reduce 1209 to:
% 17.12/4.56 | (397) $false
% 17.12/4.56 |
% 17.12/4.56 |-The branch is then unsatisfiable
% 17.12/4.56 |-Branch two:
% 17.12/4.56 | (1209) ~ (all_0_148_148 = e11)
% 17.12/4.56 | (1235) all_0_148_148 = e12
% 17.12/4.56 |
% 17.12/4.56 | Combining equations (1235,2122) yields a new equation:
% 17.12/4.56 | (2142) all_0_115_115 = e12
% 17.12/4.56 |
% 17.12/4.56 | Equations (1235) can reduce 158 to:
% 17.12/4.56 | (1208) ~ (all_0_144_144 = e12)
% 17.12/4.56 |
% 17.12/4.56 +-Applying beta-rule and splitting (189), into two cases.
% 17.12/4.56 |-Branch one:
% 17.12/4.56 | (1699) all_0_144_144 = e10
% 17.12/4.56 |
% 17.12/4.56 | Equations (1699) can reduce 104 to:
% 17.12/4.56 | (1507) ~ (e13 = e10)
% 17.12/4.56 |
% 17.12/4.56 | Simplifying 1507 yields:
% 17.12/4.56 | (208) ~ (e13 = e10)
% 17.12/4.56 |
% 17.12/4.56 | Equations (1699) can reduce 1208 to:
% 17.12/4.56 | (1254) ~ (e12 = e10)
% 17.12/4.56 |
% 17.12/4.56 | Simplifying 1254 yields:
% 17.12/4.56 | (170) ~ (e12 = e10)
% 17.12/4.56 |
% 17.12/4.56 | Equations (1699) can reduce 2059 to:
% 17.12/4.56 | (1181) ~ (e11 = e10)
% 17.12/4.56 |
% 17.12/4.56 | Simplifying 1181 yields:
% 17.12/4.56 | (308) ~ (e11 = e10)
% 17.12/4.56 |
% 17.12/4.56 +-Applying beta-rule and splitting (251), into two cases.
% 17.12/4.56 |-Branch one:
% 17.12/4.56 | (1195) (all_0_140_140 = e13 & all_0_142_142 = e13 & ~ (all_0_139_139 = e13) & ~ (all_0_146_146 = e11) & ~ (all_0_150_150 = e10)) | (all_0_141_141 = e11 & all_0_146_146 = e11 & ~ (all_0_144_144 = e12) & ~ (all_0_148_148 = e11)) | (all_0_144_144 = e12 & all_0_147_147 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_151_151 = e10)) | (all_0_144_144 = e11 & all_0_147_147 = e11 & ~ (all_0_148_148 = e11))
% 17.12/4.56 |
% 17.12/4.56 +-Applying beta-rule and splitting (1195), into two cases.
% 17.12/4.56 |-Branch one:
% 17.12/4.56 | (1196) (all_0_140_140 = e13 & all_0_142_142 = e13 & ~ (all_0_139_139 = e13) & ~ (all_0_146_146 = e11) & ~ (all_0_150_150 = e10)) | (all_0_141_141 = e11 & all_0_146_146 = e11 & ~ (all_0_144_144 = e12) & ~ (all_0_148_148 = e11)) | (all_0_144_144 = e12 & all_0_147_147 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_151_151 = e10))
% 17.12/4.56 |
% 17.12/4.56 +-Applying beta-rule and splitting (1196), into two cases.
% 17.12/4.56 |-Branch one:
% 17.12/4.56 | (1197) (all_0_140_140 = e13 & all_0_142_142 = e13 & ~ (all_0_139_139 = e13) & ~ (all_0_146_146 = e11) & ~ (all_0_150_150 = e10)) | (all_0_141_141 = e11 & all_0_146_146 = e11 & ~ (all_0_144_144 = e12) & ~ (all_0_148_148 = e11))
% 17.12/4.56 |
% 17.12/4.56 +-Applying beta-rule and splitting (1197), into two cases.
% 17.12/4.56 |-Branch one:
% 17.12/4.56 | (1198) all_0_140_140 = e13 & all_0_142_142 = e13 & ~ (all_0_139_139 = e13) & ~ (all_0_146_146 = e11) & ~ (all_0_150_150 = e10)
% 17.12/4.56 |
% 17.12/4.56 | Applying alpha-rule on (1198) yields:
% 17.12/4.56 | (1199) ~ (all_0_150_150 = e10)
% 17.12/4.56 | (1200) ~ (all_0_139_139 = e13)
% 17.12/4.56 | (1201) all_0_140_140 = e13
% 17.12/4.56 | (1202) ~ (all_0_146_146 = e11)
% 17.12/4.56 | (1203) all_0_142_142 = e13
% 17.12/4.56 |
% 17.12/4.56 | Equations (1203) can reduce 1168 to:
% 17.12/4.56 | (397) $false
% 17.12/4.56 |
% 17.12/4.56 |-The branch is then unsatisfiable
% 17.12/4.56 |-Branch two:
% 17.12/4.56 | (1205) all_0_141_141 = e11 & all_0_146_146 = e11 & ~ (all_0_144_144 = e12) & ~ (all_0_148_148 = e11)
% 17.12/4.56 |
% 17.12/4.56 | Applying alpha-rule on (1205) yields:
% 17.12/4.56 | (1206) all_0_141_141 = e11
% 17.12/4.56 | (1207) all_0_146_146 = e11
% 17.12/4.56 | (1208) ~ (all_0_144_144 = e12)
% 17.12/4.56 | (1209) ~ (all_0_148_148 = e11)
% 17.12/4.56 |
% 17.12/4.56 | Equations (1207) can reduce 195 to:
% 17.12/4.56 | (1415) ~ (all_0_139_139 = e11)
% 17.12/4.56 |
% 17.12/4.56 | Equations (1207) can reduce 49 to:
% 17.12/4.56 | (1265) ~ (all_0_142_142 = e11)
% 17.12/4.56 |
% 17.12/4.56 | Equations (1699) can reduce 1208 to:
% 17.12/4.56 | (1254) ~ (e12 = e10)
% 17.12/4.56 |
% 17.12/4.56 | Simplifying 1254 yields:
% 17.12/4.56 | (170) ~ (e12 = e10)
% 17.12/4.56 |
% 17.12/4.56 | Equations (1207) can reduce 23 to:
% 17.12/4.56 | (2170) ~ (all_0_150_150 = e11)
% 17.12/4.56 |
% 17.12/4.56 | Simplifying 2170 yields:
% 17.12/4.56 | (223) ~ (all_0_150_150 = e11)
% 17.12/4.56 |
% 17.12/4.56 | Equations (1207) can reduce 1865 to:
% 17.12/4.56 | (308) ~ (e11 = e10)
% 17.12/4.56 |
% 17.12/4.56 | Equations (1235) can reduce 1209 to:
% 17.12/4.56 | (321) ~ (e12 = e11)
% 17.12/4.56 |
% 17.12/4.56 | From (1207) and (382) follows:
% 17.12/4.56 | (2174) op1(e13, e11) = all_0_120_120
% 17.12/4.56 |
% 17.12/4.56 +-Applying beta-rule and splitting (126), into two cases.
% 17.12/4.56 |-Branch one:
% 17.12/4.56 | (1281) all_0_142_142 = e11
% 17.12/4.56 |
% 17.12/4.56 | Equations (1281) can reduce 1265 to:
% 17.12/4.56 | (397) $false
% 17.12/4.56 |
% 17.12/4.56 |-The branch is then unsatisfiable
% 17.12/4.56 |-Branch two:
% 17.12/4.56 | (1265) ~ (all_0_142_142 = e11)
% 17.12/4.56 | (1911) all_0_143_143 = e11 | all_0_144_144 = e11
% 17.12/4.56 |
% 17.12/4.56 +-Applying beta-rule and splitting (1911), into two cases.
% 17.12/4.56 |-Branch one:
% 17.12/4.56 | (1940) all_0_143_143 = e11
% 17.12/4.56 |
% 17.12/4.56 | Equations (1940) can reduce 85 to:
% 17.12/4.56 | (2180) ~ (all_0_147_147 = e11)
% 17.12/4.56 |
% 17.12/4.56 | Simplifying 2180 yields:
% 17.12/4.56 | (1842) ~ (all_0_147_147 = e11)
% 17.12/4.56 |
% 17.12/4.56 | Equations (1940) can reduce 122 to:
% 17.12/4.56 | (2182) ~ (all_0_151_151 = e11)
% 17.12/4.56 |
% 17.12/4.56 | Simplifying 2182 yields:
% 17.12/4.56 | (255) ~ (all_0_151_151 = e11)
% 17.12/4.56 |
% 17.12/4.56 +-Applying beta-rule and splitting (383), into two cases.
% 17.12/4.56 |-Branch one:
% 17.12/4.56 | (1383) all_0_143_143 = e12
% 17.12/4.56 |
% 17.12/4.56 | Combining equations (1940,1383) yields a new equation:
% 17.12/4.56 | (1232) e12 = e11
% 17.12/4.56 |
% 17.12/4.56 | Equations (1232) can reduce 321 to:
% 17.12/4.56 | (397) $false
% 17.12/4.56 |
% 17.12/4.56 |-The branch is then unsatisfiable
% 17.12/4.56 |-Branch two:
% 17.12/4.56 | (1187) ~ (all_0_143_143 = e12)
% 17.12/4.56 | (1672) all_0_147_147 = e12 | all_0_151_151 = e12
% 17.12/4.56 |
% 17.12/4.56 | Equations (1940) can reduce 1187 to:
% 17.12/4.56 | (1226) ~ (e12 = e11)
% 17.12/4.56 |
% 17.12/4.56 | Simplifying 1226 yields:
% 17.12/4.56 | (321) ~ (e12 = e11)
% 17.12/4.56 |
% 17.12/4.56 +-Applying beta-rule and splitting (147), into two cases.
% 17.12/4.56 |-Branch one:
% 17.12/4.56 | (1285) all_0_142_142 = e12
% 17.12/4.56 |
% 17.12/4.56 | Equations (1285) can reduce 329 to:
% 17.12/4.56 | (2192) ~ (all_0_150_150 = e12)
% 17.12/4.56 |
% 17.12/4.56 | Simplifying 2192 yields:
% 17.12/4.56 | (1869) ~ (all_0_150_150 = e12)
% 17.12/4.56 |
% 17.12/4.56 +-Applying beta-rule and splitting (232), into two cases.
% 17.12/4.56 |-Branch one:
% 17.12/4.56 | (1176) all_0_150_150 = e10
% 17.12/4.56 |
% 17.12/4.56 | Equations (1176) can reduce 322 to:
% 17.12/4.56 | (1177) ~ (all_0_139_139 = e10)
% 17.12/4.56 |
% 17.12/4.56 | Equations (1176) can reduce 389 to:
% 17.12/4.56 | (1179) ~ (all_0_151_151 = e10)
% 17.12/4.56 |
% 17.12/4.56 | Simplifying 1179 yields:
% 17.12/4.56 | (1180) ~ (all_0_151_151 = e10)
% 17.12/4.56 |
% 17.12/4.56 | Equations (1176) can reduce 285 to:
% 17.12/4.56 | (1507) ~ (e13 = e10)
% 17.12/4.56 |
% 17.12/4.56 | Simplifying 1507 yields:
% 17.12/4.56 | (208) ~ (e13 = e10)
% 17.12/4.56 |
% 17.12/4.56 | Equations (1176) can reduce 223 to:
% 17.12/4.56 | (1181) ~ (e11 = e10)
% 17.12/4.56 |
% 17.12/4.56 | Simplifying 1181 yields:
% 17.12/4.56 | (308) ~ (e11 = e10)
% 17.12/4.56 |
% 17.12/4.56 +-Applying beta-rule and splitting (48), into two cases.
% 17.12/4.56 |-Branch one:
% 17.12/4.56 | (1183) all_0_151_151 = e10
% 17.12/4.56 |
% 17.12/4.56 | Equations (1183) can reduce 1180 to:
% 17.12/4.56 | (397) $false
% 17.12/4.56 |
% 17.12/4.56 |-The branch is then unsatisfiable
% 17.12/4.56 |-Branch two:
% 17.12/4.56 | (1180) ~ (all_0_151_151 = e10)
% 17.12/4.56 | (1186) all_0_151_151 = e12
% 17.12/4.56 |
% 17.12/4.56 | Equations (1186) can reduce 10 to:
% 17.12/4.56 | (242) ~ (all_0_140_140 = e12)
% 17.12/4.56 |
% 17.12/4.56 | Equations (1186) can reduce 252 to:
% 17.12/4.56 | (1286) ~ (e13 = e12)
% 17.12/4.56 |
% 17.12/4.56 | Simplifying 1286 yields:
% 17.12/4.56 | (300) ~ (e13 = e12)
% 17.12/4.56 |
% 17.12/4.56 | Equations (1186) can reduce 255 to:
% 17.12/4.56 | (321) ~ (e12 = e11)
% 17.12/4.56 |
% 17.12/4.56 | Equations (1186) can reduce 1180 to:
% 17.12/4.56 | (170) ~ (e12 = e10)
% 17.12/4.56 |
% 17.12/4.56 +-Applying beta-rule and splitting (105), into two cases.
% 17.12/4.56 |-Branch one:
% 17.12/4.56 | (1461) all_0_139_139 = e10
% 17.12/4.56 |
% 17.12/4.56 | Equations (1461) can reduce 1177 to:
% 17.12/4.56 | (397) $false
% 17.12/4.56 |
% 17.12/4.56 |-The branch is then unsatisfiable
% 17.12/4.56 |-Branch two:
% 17.12/4.56 | (1177) ~ (all_0_139_139 = e10)
% 17.12/4.56 | (1464) all_0_139_139 = e13 | all_0_139_139 = e11
% 17.12/4.56 |
% 17.12/4.56 +-Applying beta-rule and splitting (213), into two cases.
% 17.12/4.56 |-Branch one:
% 17.12/4.56 | (1294) (all_0_114_114 = e12 & all_0_140_140 = all_0_142_142) | (all_0_115_115 = e11 & all_0_141_141 = all_0_146_146) | (all_0_116_116 = e13 & all_0_140_140 = all_0_142_142) | (all_0_118_118 = e11 & all_0_144_144 = all_0_147_147) | (all_0_119_119 = e10 & all_0_145_145 = all_0_151_151) | (all_0_120_120 = e13 & all_0_141_141 = all_0_146_146) | (all_0_121_121 = e12 & all_0_144_144 = all_0_147_147) | (all_0_123_123 = e10 & all_0_149_149 = e13) | (all_0_124_124 = e13 & all_0_150_150 = e12) | (all_0_125_125 = e12 & all_0_145_145 = all_0_151_151) | (all_0_146_146 = e11 & all_0_149_149 = e13)
% 17.12/4.56 |
% 17.12/4.56 +-Applying beta-rule and splitting (1294), into two cases.
% 17.12/4.56 |-Branch one:
% 17.12/4.56 | (1295) (all_0_114_114 = e12 & all_0_140_140 = all_0_142_142) | (all_0_115_115 = e11 & all_0_141_141 = all_0_146_146) | (all_0_116_116 = e13 & all_0_140_140 = all_0_142_142) | (all_0_118_118 = e11 & all_0_144_144 = all_0_147_147) | (all_0_119_119 = e10 & all_0_145_145 = all_0_151_151) | (all_0_120_120 = e13 & all_0_141_141 = all_0_146_146) | (all_0_121_121 = e12 & all_0_144_144 = all_0_147_147) | (all_0_123_123 = e10 & all_0_149_149 = e13) | (all_0_124_124 = e13 & all_0_150_150 = e12) | (all_0_125_125 = e12 & all_0_145_145 = all_0_151_151)
% 17.12/4.56 |
% 17.12/4.56 +-Applying beta-rule and splitting (1295), into two cases.
% 17.12/4.56 |-Branch one:
% 17.12/4.56 | (1296) (all_0_114_114 = e12 & all_0_140_140 = all_0_142_142) | (all_0_115_115 = e11 & all_0_141_141 = all_0_146_146) | (all_0_116_116 = e13 & all_0_140_140 = all_0_142_142) | (all_0_118_118 = e11 & all_0_144_144 = all_0_147_147) | (all_0_119_119 = e10 & all_0_145_145 = all_0_151_151) | (all_0_120_120 = e13 & all_0_141_141 = all_0_146_146) | (all_0_121_121 = e12 & all_0_144_144 = all_0_147_147) | (all_0_123_123 = e10 & all_0_149_149 = e13) | (all_0_124_124 = e13 & all_0_150_150 = e12)
% 17.12/4.56 |
% 17.12/4.56 +-Applying beta-rule and splitting (1296), into two cases.
% 17.12/4.56 |-Branch one:
% 17.12/4.56 | (1297) (all_0_114_114 = e12 & all_0_140_140 = all_0_142_142) | (all_0_115_115 = e11 & all_0_141_141 = all_0_146_146) | (all_0_116_116 = e13 & all_0_140_140 = all_0_142_142) | (all_0_118_118 = e11 & all_0_144_144 = all_0_147_147) | (all_0_119_119 = e10 & all_0_145_145 = all_0_151_151) | (all_0_120_120 = e13 & all_0_141_141 = all_0_146_146) | (all_0_121_121 = e12 & all_0_144_144 = all_0_147_147) | (all_0_123_123 = e10 & all_0_149_149 = e13)
% 17.12/4.56 |
% 17.12/4.56 +-Applying beta-rule and splitting (1297), into two cases.
% 17.12/4.56 |-Branch one:
% 17.12/4.56 | (1298) (all_0_114_114 = e12 & all_0_140_140 = all_0_142_142) | (all_0_115_115 = e11 & all_0_141_141 = all_0_146_146) | (all_0_116_116 = e13 & all_0_140_140 = all_0_142_142) | (all_0_118_118 = e11 & all_0_144_144 = all_0_147_147) | (all_0_119_119 = e10 & all_0_145_145 = all_0_151_151) | (all_0_120_120 = e13 & all_0_141_141 = all_0_146_146) | (all_0_121_121 = e12 & all_0_144_144 = all_0_147_147)
% 17.12/4.56 |
% 17.12/4.56 +-Applying beta-rule and splitting (1298), into two cases.
% 17.12/4.56 |-Branch one:
% 17.12/4.56 | (1299) (all_0_114_114 = e12 & all_0_140_140 = all_0_142_142) | (all_0_115_115 = e11 & all_0_141_141 = all_0_146_146) | (all_0_116_116 = e13 & all_0_140_140 = all_0_142_142) | (all_0_118_118 = e11 & all_0_144_144 = all_0_147_147) | (all_0_119_119 = e10 & all_0_145_145 = all_0_151_151) | (all_0_120_120 = e13 & all_0_141_141 = all_0_146_146)
% 17.12/4.56 |
% 17.12/4.56 +-Applying beta-rule and splitting (1299), into two cases.
% 17.12/4.56 |-Branch one:
% 17.12/4.56 | (1300) (all_0_114_114 = e12 & all_0_140_140 = all_0_142_142) | (all_0_115_115 = e11 & all_0_141_141 = all_0_146_146) | (all_0_116_116 = e13 & all_0_140_140 = all_0_142_142) | (all_0_118_118 = e11 & all_0_144_144 = all_0_147_147) | (all_0_119_119 = e10 & all_0_145_145 = all_0_151_151)
% 17.12/4.56 |
% 17.12/4.56 +-Applying beta-rule and splitting (1300), into two cases.
% 17.12/4.56 |-Branch one:
% 17.12/4.57 | (1301) (all_0_114_114 = e12 & all_0_140_140 = all_0_142_142) | (all_0_115_115 = e11 & all_0_141_141 = all_0_146_146) | (all_0_116_116 = e13 & all_0_140_140 = all_0_142_142) | (all_0_118_118 = e11 & all_0_144_144 = all_0_147_147)
% 17.12/4.57 |
% 17.12/4.57 +-Applying beta-rule and splitting (1301), into two cases.
% 17.12/4.57 |-Branch one:
% 17.12/4.57 | (1302) (all_0_114_114 = e12 & all_0_140_140 = all_0_142_142) | (all_0_115_115 = e11 & all_0_141_141 = all_0_146_146) | (all_0_116_116 = e13 & all_0_140_140 = all_0_142_142)
% 17.12/4.57 |
% 17.12/4.57 +-Applying beta-rule and splitting (1302), into two cases.
% 17.12/4.57 |-Branch one:
% 17.12/4.57 | (1303) (all_0_114_114 = e12 & all_0_140_140 = all_0_142_142) | (all_0_115_115 = e11 & all_0_141_141 = all_0_146_146)
% 17.12/4.57 |
% 17.12/4.57 +-Applying beta-rule and splitting (1303), into two cases.
% 17.12/4.57 |-Branch one:
% 17.12/4.57 | (1304) all_0_114_114 = e12 & all_0_140_140 = all_0_142_142
% 17.12/4.57 |
% 17.12/4.57 | Applying alpha-rule on (1304) yields:
% 17.12/4.57 | (1305) all_0_114_114 = e12
% 17.12/4.57 | (1306) all_0_140_140 = all_0_142_142
% 17.12/4.57 |
% 17.12/4.57 | Combining equations (1285,1306) yields a new equation:
% 17.12/4.57 | (2228) all_0_140_140 = e12
% 17.12/4.57 |
% 17.12/4.57 | Equations (2228) can reduce 242 to:
% 17.12/4.57 | (397) $false
% 17.12/4.57 |
% 17.12/4.57 |-The branch is then unsatisfiable
% 17.12/4.57 |-Branch two:
% 17.12/4.57 | (1312) all_0_115_115 = e11 & all_0_141_141 = all_0_146_146
% 17.12/4.57 |
% 17.12/4.57 | Applying alpha-rule on (1312) yields:
% 17.12/4.57 | (1313) all_0_115_115 = e11
% 17.12/4.57 | (1314) all_0_141_141 = all_0_146_146
% 17.12/4.57 |
% 17.12/4.57 | Combining equations (1313,2142) yields a new equation:
% 17.12/4.57 | (1232) e12 = e11
% 17.12/4.57 |
% 17.12/4.57 | Equations (1232) can reduce 321 to:
% 17.12/4.57 | (397) $false
% 17.12/4.57 |
% 17.12/4.57 |-The branch is then unsatisfiable
% 17.12/4.57 |-Branch two:
% 17.12/4.57 | (1318) all_0_116_116 = e13 & all_0_140_140 = all_0_142_142
% 17.12/4.57 |
% 17.12/4.57 | Applying alpha-rule on (1318) yields:
% 17.12/4.57 | (1319) all_0_116_116 = e13
% 17.12/4.57 | (1306) all_0_140_140 = all_0_142_142
% 17.12/4.57 |
% 17.12/4.57 | Combining equations (1285,1306) yields a new equation:
% 17.12/4.57 | (2228) all_0_140_140 = e12
% 17.12/4.57 |
% 17.12/4.57 | Equations (2228) can reduce 242 to:
% 17.12/4.57 | (397) $false
% 17.12/4.57 |
% 17.12/4.57 |-The branch is then unsatisfiable
% 17.12/4.57 |-Branch two:
% 17.12/4.57 | (1326) all_0_118_118 = e11 & all_0_144_144 = all_0_147_147
% 17.12/4.57 |
% 17.12/4.57 | Applying alpha-rule on (1326) yields:
% 17.12/4.57 | (1327) all_0_118_118 = e11
% 17.12/4.57 | (1328) all_0_144_144 = all_0_147_147
% 17.12/4.57 |
% 17.12/4.57 | Combining equations (1328,1699) yields a new equation:
% 17.12/4.57 | (2243) all_0_147_147 = e10
% 17.12/4.57 |
% 17.12/4.57 | Simplifying 2243 yields:
% 17.12/4.57 | (1432) all_0_147_147 = e10
% 17.12/4.57 |
% 17.12/4.57 | Equations (1432) can reduce 1435 to:
% 17.12/4.57 | (397) $false
% 17.12/4.57 |
% 17.12/4.57 |-The branch is then unsatisfiable
% 17.12/4.57 |-Branch two:
% 17.12/4.57 | (1331) all_0_119_119 = e10 & all_0_145_145 = all_0_151_151
% 17.12/4.57 |
% 17.12/4.57 | Applying alpha-rule on (1331) yields:
% 17.12/4.57 | (1332) all_0_119_119 = e10
% 17.12/4.57 | (1333) all_0_145_145 = all_0_151_151
% 17.12/4.57 |
% 17.12/4.57 | Combining equations (1333,1167) yields a new equation:
% 17.12/4.57 | (1334) all_0_151_151 = e13
% 17.12/4.57 |
% 17.12/4.57 | Simplifying 1334 yields:
% 17.12/4.57 | (1335) all_0_151_151 = e13
% 17.12/4.57 |
% 17.12/4.57 | Combining equations (1335,1186) yields a new equation:
% 17.12/4.57 | (1309) e13 = e12
% 17.12/4.57 |
% 17.12/4.57 | Simplifying 1309 yields:
% 17.12/4.57 | (1310) e13 = e12
% 17.12/4.57 |
% 17.12/4.57 | Equations (1310) can reduce 300 to:
% 17.12/4.57 | (397) $false
% 17.12/4.57 |
% 17.12/4.57 |-The branch is then unsatisfiable
% 17.12/4.57 |-Branch two:
% 17.12/4.57 | (1338) all_0_120_120 = e13 & all_0_141_141 = all_0_146_146
% 17.12/4.57 |
% 17.12/4.57 | Applying alpha-rule on (1338) yields:
% 17.12/4.57 | (1339) all_0_120_120 = e13
% 17.12/4.57 | (1314) all_0_141_141 = all_0_146_146
% 17.12/4.57 |
% 17.12/4.57 | Combining equations (1314,1206) yields a new equation:
% 17.12/4.57 | (2257) all_0_146_146 = e11
% 17.12/4.57 |
% 17.12/4.57 | Simplifying 2257 yields:
% 17.12/4.57 | (1207) all_0_146_146 = e11
% 17.12/4.57 |
% 17.12/4.57 | From (1339) and (2174) follows:
% 17.12/4.57 | (2259) op1(e13, e11) = e13
% 17.12/4.57 |
% 17.12/4.57 +-Applying beta-rule and splitting (42), into two cases.
% 17.12/4.57 |-Branch one:
% 17.12/4.57 | (1272) all_0_139_139 = e13
% 17.12/4.57 |
% 17.12/4.57 | Equations (1272) can reduce 125 to:
% 17.12/4.57 | (1878) ~ (all_0_140_140 = e13)
% 17.12/4.57 |
% 17.12/4.57 | Simplifying 1878 yields:
% 17.12/4.57 | (1217) ~ (all_0_140_140 = e13)
% 17.12/4.57 |
% 17.12/4.57 | Equations (1272) can reduce 1415 to:
% 17.12/4.57 | (363) ~ (e13 = e11)
% 17.12/4.57 |
% 17.12/4.57 +-Applying beta-rule and splitting (279), into two cases.
% 17.12/4.57 |-Branch one:
% 17.12/4.57 | (1201) all_0_140_140 = e13
% 17.12/4.57 |
% 17.12/4.57 | Equations (1201) can reduce 1217 to:
% 17.12/4.57 | (397) $false
% 17.12/4.57 |
% 17.12/4.57 |-The branch is then unsatisfiable
% 17.12/4.57 |-Branch two:
% 17.12/4.57 | (1217) ~ (all_0_140_140 = e13)
% 17.12/4.57 | (2267) all_0_143_143 = e13 | all_0_147_147 = e13
% 17.12/4.57 |
% 17.12/4.57 +-Applying beta-rule and splitting (364), into two cases.
% 17.12/4.57 |-Branch one:
% 17.12/4.57 | (1278) all_0_146_146 = e13
% 17.12/4.57 |
% 17.12/4.57 | Combining equations (1207,1278) yields a new equation:
% 17.12/4.57 | (1274) e13 = e11
% 17.12/4.57 |
% 17.12/4.57 | Equations (1274) can reduce 363 to:
% 17.12/4.57 | (397) $false
% 17.12/4.57 |
% 17.12/4.57 |-The branch is then unsatisfiable
% 17.12/4.57 |-Branch two:
% 17.12/4.57 | (1391) ~ (all_0_146_146 = e13)
% 17.12/4.57 | (1392) all_0_147_147 = e13 | all_0_149_149 = e13
% 17.12/4.57 |
% 17.12/4.57 | Equations (1207) can reduce 1391 to:
% 17.12/4.57 | (1266) ~ (e13 = e11)
% 17.12/4.57 |
% 17.12/4.57 | Simplifying 1266 yields:
% 17.12/4.57 | (363) ~ (e13 = e11)
% 17.12/4.57 |
% 17.12/4.57 +-Applying beta-rule and splitting (2267), into two cases.
% 17.12/4.57 |-Branch one:
% 17.12/4.57 | (1787) all_0_143_143 = e13
% 17.12/4.57 |
% 17.12/4.57 | Combining equations (1940,1787) yields a new equation:
% 17.12/4.57 | (1274) e13 = e11
% 17.12/4.57 |
% 17.12/4.57 | Equations (1274) can reduce 363 to:
% 17.12/4.57 | (397) $false
% 17.12/4.57 |
% 17.12/4.57 |-The branch is then unsatisfiable
% 17.12/4.57 |-Branch two:
% 17.12/4.57 | (1778) ~ (all_0_143_143 = e13)
% 17.12/4.57 | (2069) all_0_147_147 = e13
% 17.12/4.57 |
% 17.12/4.57 | Equations (2069) can reduce 1842 to:
% 17.12/4.57 | (363) ~ (e13 = e11)
% 17.12/4.57 |
% 17.12/4.57 | Instantiating formula (387) with e13, e11, e13, e11 and discharging atoms op1(e13, e11) = e13, op1(e13, e11) = e11, yields:
% 17.12/4.57 | (1274) e13 = e11
% 17.12/4.57 |
% 17.12/4.57 | Equations (1274) can reduce 363 to:
% 17.12/4.57 | (397) $false
% 17.12/4.57 |
% 17.12/4.57 |-The branch is then unsatisfiable
% 17.12/4.57 |-Branch two:
% 17.12/4.57 | (1200) ~ (all_0_139_139 = e13)
% 17.12/4.57 | (1277) all_0_142_142 = e13 | all_0_146_146 = e13
% 17.12/4.57 |
% 17.12/4.57 +-Applying beta-rule and splitting (27), into two cases.
% 17.12/4.57 |-Branch one:
% 17.12/4.57 | (1272) all_0_139_139 = e13
% 17.12/4.57 |
% 17.12/4.57 | Equations (1272) can reduce 1200 to:
% 17.12/4.57 | (397) $false
% 17.12/4.57 |
% 17.12/4.57 |-The branch is then unsatisfiable
% 17.12/4.57 |-Branch two:
% 17.12/4.57 | (1200) ~ (all_0_139_139 = e13)
% 17.12/4.57 | (1201) all_0_140_140 = e13
% 17.12/4.57 |
% 17.12/4.57 +-Applying beta-rule and splitting (386), into two cases.
% 17.12/4.57 |-Branch one:
% 17.12/4.57 | (1461) all_0_139_139 = e10
% 17.12/4.57 |
% 17.12/4.57 | Equations (1461) can reduce 1177 to:
% 17.12/4.57 | (397) $false
% 17.12/4.57 |
% 17.12/4.57 |-The branch is then unsatisfiable
% 17.12/4.57 |-Branch two:
% 17.12/4.57 | (1177) ~ (all_0_139_139 = e10)
% 17.12/4.57 | (2292) all_0_140_140 = e10 | all_0_141_141 = e10
% 17.12/4.57 |
% 17.12/4.57 +-Applying beta-rule and splitting (2292), into two cases.
% 17.12/4.57 |-Branch one:
% 17.12/4.57 | (1238) all_0_140_140 = e10
% 17.12/4.57 |
% 17.12/4.57 | Combining equations (1238,1201) yields a new equation:
% 17.12/4.57 | (1343) e13 = e10
% 17.12/4.57 |
% 17.12/4.57 | Equations (1343) can reduce 208 to:
% 17.12/4.57 | (397) $false
% 17.12/4.57 |
% 17.12/4.57 |-The branch is then unsatisfiable
% 17.12/4.57 |-Branch two:
% 17.12/4.57 | (1148) ~ (all_0_140_140 = e10)
% 17.12/4.57 | (1147) all_0_141_141 = e10
% 17.12/4.57 |
% 17.12/4.57 | Combining equations (1147,1206) yields a new equation:
% 17.12/4.57 | (1211) e11 = e10
% 17.12/4.57 |
% 17.12/4.57 | Equations (1211) can reduce 308 to:
% 17.12/4.57 | (397) $false
% 17.12/4.57 |
% 17.12/4.57 |-The branch is then unsatisfiable
% 17.12/4.57 |-Branch two:
% 17.12/4.57 | (1346) all_0_121_121 = e12 & all_0_144_144 = all_0_147_147
% 17.12/4.57 |
% 17.12/4.57 | Applying alpha-rule on (1346) yields:
% 17.12/4.57 | (1347) all_0_121_121 = e12
% 17.12/4.57 | (1328) all_0_144_144 = all_0_147_147
% 17.12/4.57 |
% 17.12/4.57 | Combining equations (1328,1699) yields a new equation:
% 17.12/4.57 | (2243) all_0_147_147 = e10
% 17.12/4.57 |
% 17.12/4.57 | Simplifying 2243 yields:
% 17.12/4.57 | (1432) all_0_147_147 = e10
% 17.12/4.57 |
% 17.12/4.57 | Equations (1432) can reduce 1435 to:
% 17.12/4.57 | (397) $false
% 17.12/4.57 |
% 17.12/4.57 |-The branch is then unsatisfiable
% 17.12/4.57 |-Branch two:
% 17.12/4.57 | (1351) all_0_123_123 = e10 & all_0_149_149 = e13
% 17.12/4.57 |
% 17.12/4.57 | Applying alpha-rule on (1351) yields:
% 17.12/4.57 | (1352) all_0_123_123 = e10
% 17.12/4.57 | (1353) all_0_149_149 = e13
% 17.12/4.57 |
% 17.12/4.57 | Combining equations (1353,1158) yields a new equation:
% 17.12/4.57 | (1371) e13 = e10
% 17.12/4.57 |
% 17.12/4.57 | Simplifying 1371 yields:
% 17.12/4.57 | (1343) e13 = e10
% 17.12/4.57 |
% 17.12/4.58 | Equations (1343) can reduce 208 to:
% 17.12/4.58 | (397) $false
% 17.12/4.58 |
% 17.12/4.58 |-The branch is then unsatisfiable
% 17.12/4.58 |-Branch two:
% 17.12/4.58 | (1357) all_0_124_124 = e13 & all_0_150_150 = e12
% 17.12/4.58 |
% 17.12/4.58 | Applying alpha-rule on (1357) yields:
% 17.12/4.58 | (1358) all_0_124_124 = e13
% 17.12/4.58 | (1359) all_0_150_150 = e12
% 17.12/4.58 |
% 17.12/4.58 | Combining equations (1359,1176) yields a new equation:
% 17.12/4.58 | (1412) e12 = e10
% 17.12/4.58 |
% 17.12/4.58 | Simplifying 1412 yields:
% 17.12/4.58 | (1360) e12 = e10
% 17.12/4.58 |
% 17.12/4.58 | Equations (1360) can reduce 170 to:
% 17.12/4.58 | (397) $false
% 17.12/4.58 |
% 17.12/4.58 |-The branch is then unsatisfiable
% 17.12/4.58 |-Branch two:
% 17.12/4.58 | (1362) all_0_125_125 = e12 & all_0_145_145 = all_0_151_151
% 17.12/4.58 |
% 17.12/4.58 | Applying alpha-rule on (1362) yields:
% 17.12/4.58 | (1363) all_0_125_125 = e12
% 17.12/4.58 | (1333) all_0_145_145 = all_0_151_151
% 17.12/4.58 |
% 17.12/4.58 | Combining equations (1333,1167) yields a new equation:
% 17.12/4.58 | (1334) all_0_151_151 = e13
% 17.12/4.58 |
% 17.12/4.58 | Simplifying 1334 yields:
% 17.12/4.58 | (1335) all_0_151_151 = e13
% 17.12/4.58 |
% 17.12/4.58 | Combining equations (1335,1186) yields a new equation:
% 17.12/4.58 | (1309) e13 = e12
% 17.12/4.58 |
% 17.12/4.58 | Simplifying 1309 yields:
% 17.12/4.58 | (1310) e13 = e12
% 17.12/4.58 |
% 17.12/4.58 | Equations (1310) can reduce 300 to:
% 17.12/4.58 | (397) $false
% 17.12/4.58 |
% 17.12/4.58 |-The branch is then unsatisfiable
% 17.12/4.58 |-Branch two:
% 17.12/4.58 | (1367) all_0_146_146 = e11 & all_0_149_149 = e13
% 17.12/4.58 |
% 17.12/4.58 | Applying alpha-rule on (1367) yields:
% 17.12/4.58 | (1207) all_0_146_146 = e11
% 17.12/4.58 | (1353) all_0_149_149 = e13
% 17.12/4.58 |
% 17.12/4.58 | Combining equations (1158,1353) yields a new equation:
% 17.12/4.58 | (1343) e13 = e10
% 17.12/4.58 |
% 17.12/4.58 | Equations (1343) can reduce 208 to:
% 17.12/4.58 | (397) $false
% 17.12/4.58 |
% 17.12/4.58 |-The branch is then unsatisfiable
% 17.12/4.58 |-Branch two:
% 17.12/4.58 | (1376) all_0_150_150 = e12 & all_0_151_151 = e10
% 17.12/4.58 |
% 17.12/4.58 | Applying alpha-rule on (1376) yields:
% 17.12/4.58 | (1359) all_0_150_150 = e12
% 17.12/4.58 | (1183) all_0_151_151 = e10
% 17.12/4.58 |
% 17.12/4.58 | Combining equations (1183,1186) yields a new equation:
% 17.12/4.58 | (1360) e12 = e10
% 17.12/4.58 |
% 17.12/4.58 | Equations (1360) can reduce 170 to:
% 17.12/4.58 | (397) $false
% 17.12/4.58 |
% 17.12/4.58 |-The branch is then unsatisfiable
% 17.12/4.58 |-Branch two:
% 17.12/4.58 | (1199) ~ (all_0_150_150 = e10)
% 17.12/4.58 | (1359) all_0_150_150 = e12
% 17.12/4.58 |
% 17.12/4.58 | Equations (1359) can reduce 1869 to:
% 17.12/4.58 | (397) $false
% 17.12/4.58 |
% 17.12/4.58 |-The branch is then unsatisfiable
% 17.12/4.58 |-Branch two:
% 17.12/4.58 | (1381) ~ (all_0_142_142 = e12)
% 17.12/4.58 | (1382) all_0_143_143 = e12 | all_0_144_144 = e12
% 17.12/4.58 |
% 17.12/4.58 +-Applying beta-rule and splitting (1382), into two cases.
% 17.12/4.58 |-Branch one:
% 17.12/4.58 | (1383) all_0_143_143 = e12
% 17.12/4.58 |
% 17.12/4.58 | Combining equations (1940,1383) yields a new equation:
% 17.12/4.58 | (1232) e12 = e11
% 17.12/4.58 |
% 17.12/4.58 | Equations (1232) can reduce 321 to:
% 17.12/4.58 | (397) $false
% 17.12/4.58 |
% 17.12/4.58 |-The branch is then unsatisfiable
% 17.12/4.58 |-Branch two:
% 17.12/4.58 | (1187) ~ (all_0_143_143 = e12)
% 17.12/4.58 | (1218) all_0_144_144 = e12
% 17.12/4.58 |
% 17.12/4.58 | Combining equations (1699,1218) yields a new equation:
% 17.12/4.58 | (1360) e12 = e10
% 17.12/4.58 |
% 17.12/4.58 | Equations (1360) can reduce 170 to:
% 17.12/4.58 | (397) $false
% 17.12/4.58 |
% 17.12/4.58 |-The branch is then unsatisfiable
% 17.12/4.58 |-Branch two:
% 17.12/4.58 | (1225) ~ (all_0_143_143 = e11)
% 17.12/4.58 | (1221) all_0_144_144 = e11
% 17.12/4.58 |
% 17.12/4.58 | Combining equations (1699,1221) yields a new equation:
% 17.12/4.58 | (1211) e11 = e10
% 17.12/4.58 |
% 17.12/4.58 | Equations (1211) can reduce 308 to:
% 17.12/4.58 | (397) $false
% 17.12/4.58 |
% 17.12/4.58 |-The branch is then unsatisfiable
% 17.12/4.58 |-Branch two:
% 17.12/4.58 | (1213) all_0_144_144 = e12 & all_0_147_147 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_151_151 = e10)
% 17.12/4.58 |
% 17.12/4.58 | Applying alpha-rule on (1213) yields:
% 17.12/4.58 | (1180) ~ (all_0_151_151 = e10)
% 17.12/4.58 | (1215) all_0_147_147 = e12
% 17.12/4.58 | (1187) ~ (all_0_143_143 = e12)
% 17.12/4.58 | (1217) ~ (all_0_140_140 = e13)
% 17.12/4.58 | (1218) all_0_144_144 = e12
% 17.12/4.58 |
% 17.12/4.58 | Combining equations (1699,1218) yields a new equation:
% 17.12/4.58 | (1360) e12 = e10
% 17.12/4.58 |
% 17.12/4.58 | Equations (1360) can reduce 170 to:
% 17.12/4.58 | (397) $false
% 17.12/4.58 |
% 17.12/4.58 |-The branch is then unsatisfiable
% 17.12/4.58 |-Branch two:
% 17.12/4.58 | (1220) all_0_144_144 = e11 & all_0_147_147 = e11 & ~ (all_0_148_148 = e11)
% 17.12/4.58 |
% 17.12/4.58 | Applying alpha-rule on (1220) yields:
% 17.12/4.58 | (1221) all_0_144_144 = e11
% 17.12/4.58 | (1222) all_0_147_147 = e11
% 17.12/4.58 | (1209) ~ (all_0_148_148 = e11)
% 17.12/4.58 |
% 17.12/4.58 | Combining equations (1699,1221) yields a new equation:
% 17.12/4.58 | (1211) e11 = e10
% 17.12/4.58 |
% 17.12/4.58 | Equations (1211) can reduce 308 to:
% 17.12/4.58 | (397) $false
% 17.12/4.58 |
% 17.12/4.58 |-The branch is then unsatisfiable
% 17.12/4.58 |-Branch two:
% 17.12/4.58 | (1487) all_0_145_145 = e10 & all_0_151_151 = e10
% 17.12/4.58 |
% 17.12/4.58 | Applying alpha-rule on (1487) yields:
% 17.12/4.58 | (1164) all_0_145_145 = e10
% 17.12/4.58 | (1183) all_0_151_151 = e10
% 17.12/4.58 |
% 17.12/4.58 | Combining equations (1164,1167) yields a new equation:
% 17.12/4.58 | (1343) e13 = e10
% 17.12/4.58 |
% 17.12/4.58 | Equations (1343) can reduce 208 to:
% 17.12/4.58 | (397) $false
% 17.12/4.58 |
% 17.12/4.58 |-The branch is then unsatisfiable
% 17.12/4.58 |-Branch two:
% 17.12/4.58 | (1150) ~ (all_0_144_144 = e10)
% 17.12/4.58 | (1973) all_0_144_144 = e12 | all_0_144_144 = e11
% 17.12/4.58 |
% 17.12/4.58 +-Applying beta-rule and splitting (1973), into two cases.
% 17.12/4.58 |-Branch one:
% 17.12/4.58 | (1221) all_0_144_144 = e11
% 17.12/4.58 |
% 17.12/4.58 | Equations (1221) can reduce 2059 to:
% 17.12/4.58 | (397) $false
% 17.12/4.58 |
% 17.12/4.58 |-The branch is then unsatisfiable
% 17.12/4.58 |-Branch two:
% 17.12/4.58 | (2059) ~ (all_0_144_144 = e11)
% 17.12/4.58 | (1218) all_0_144_144 = e12
% 17.12/4.58 |
% 17.12/4.58 | Equations (1218) can reduce 1208 to:
% 17.12/4.58 | (397) $false
% 17.12/4.58 |
% 17.12/4.58 |-The branch is then unsatisfiable
% 17.12/4.58 |-Branch two:
% 17.12/4.58 | (1705) ~ (all_0_149_149 = e10)
% 17.12/4.58 | (1353) all_0_149_149 = e13
% 17.12/4.58 |
% 17.12/4.58 | Equations (1353) can reduce 86 to:
% 17.12/4.58 | (1391) ~ (all_0_146_146 = e13)
% 17.12/4.58 |
% 17.12/4.58 | Equations (1353) can reduce 1705 to:
% 17.12/4.58 | (208) ~ (e13 = e10)
% 17.12/4.58 |
% 17.12/4.58 +-Applying beta-rule and splitting (167), into two cases.
% 17.12/4.58 |-Branch one:
% 17.12/4.58 | (1164) all_0_145_145 = e10
% 17.12/4.58 |
% 17.12/4.58 | Equations (1164) can reduce 260 to:
% 17.12/4.58 | (1150) ~ (all_0_144_144 = e10)
% 17.12/4.58 |
% 17.12/4.58 | Equations (1164) can reduce 352 to:
% 17.12/4.58 | (1181) ~ (e11 = e10)
% 17.12/4.58 |
% 17.12/4.58 | Simplifying 1181 yields:
% 17.12/4.58 | (308) ~ (e11 = e10)
% 17.12/4.58 |
% 17.12/4.58 +-Applying beta-rule and splitting (6), into two cases.
% 17.12/4.58 |-Branch one:
% 17.12/4.58 | (1147) all_0_141_141 = e10
% 17.12/4.58 |
% 17.12/4.58 | Combining equations (1206,1147) yields a new equation:
% 17.12/4.58 | (1210) e11 = e10
% 17.12/4.58 |
% 17.12/4.58 | Simplifying 1210 yields:
% 17.12/4.58 | (1211) e11 = e10
% 17.12/4.58 |
% 17.12/4.58 | Equations (1211) can reduce 308 to:
% 17.12/4.58 | (397) $false
% 17.12/4.58 |
% 17.12/4.58 |-The branch is then unsatisfiable
% 17.12/4.58 |-Branch two:
% 17.12/4.58 | (1862) ~ (all_0_141_141 = e10)
% 17.12/4.58 | (2391) all_0_144_144 = e10 | all_0_148_148 = e10
% 17.12/4.58 |
% 17.12/4.58 +-Applying beta-rule and splitting (189), into two cases.
% 17.12/4.58 |-Branch one:
% 17.12/4.58 | (1699) all_0_144_144 = e10
% 17.12/4.58 |
% 17.12/4.58 | Equations (1699) can reduce 1150 to:
% 17.12/4.58 | (397) $false
% 17.12/4.58 |
% 17.12/4.58 |-The branch is then unsatisfiable
% 17.12/4.58 |-Branch two:
% 17.12/4.58 | (1150) ~ (all_0_144_144 = e10)
% 17.12/4.58 | (1973) all_0_144_144 = e12 | all_0_144_144 = e11
% 17.12/4.58 |
% 17.12/4.58 +-Applying beta-rule and splitting (1973), into two cases.
% 17.12/4.58 |-Branch one:
% 17.12/4.58 | (1221) all_0_144_144 = e11
% 17.12/4.58 |
% 17.12/4.58 | Equations (1221) can reduce 2059 to:
% 17.12/4.58 | (397) $false
% 17.12/4.58 |
% 17.12/4.58 |-The branch is then unsatisfiable
% 17.12/4.58 |-Branch two:
% 17.12/4.58 | (2059) ~ (all_0_144_144 = e11)
% 17.12/4.58 | (1218) all_0_144_144 = e12
% 17.12/4.58 |
% 17.12/4.58 | Equations (1218) can reduce 158 to:
% 17.12/4.58 | (1829) ~ (all_0_148_148 = e12)
% 17.12/4.58 |
% 17.12/4.58 | Simplifying 1829 yields:
% 17.12/4.58 | (1830) ~ (all_0_148_148 = e12)
% 17.12/4.58 |
% 17.12/4.58 | Equations (1218) can reduce 1150 to:
% 17.12/4.58 | (170) ~ (e12 = e10)
% 17.12/4.58 |
% 17.12/4.58 +-Applying beta-rule and splitting (2391), into two cases.
% 17.12/4.58 |-Branch one:
% 17.12/4.58 | (1699) all_0_144_144 = e10
% 17.12/4.58 |
% 17.12/4.58 | Combining equations (1218,1699) yields a new equation:
% 17.12/4.58 | (1412) e12 = e10
% 17.12/4.58 |
% 17.12/4.58 | Simplifying 1412 yields:
% 17.12/4.58 | (1360) e12 = e10
% 17.12/4.58 |
% 17.12/4.58 | Equations (1360) can reduce 170 to:
% 17.12/4.58 | (397) $false
% 17.12/4.58 |
% 17.12/4.58 |-The branch is then unsatisfiable
% 17.12/4.58 |-Branch two:
% 17.12/4.58 | (1150) ~ (all_0_144_144 = e10)
% 17.12/4.59 | (1832) all_0_148_148 = e10
% 17.12/4.59 |
% 17.12/4.59 | Equations (1832) can reduce 1830 to:
% 17.12/4.59 | (1254) ~ (e12 = e10)
% 17.12/4.59 |
% 17.12/4.59 | Simplifying 1254 yields:
% 17.12/4.59 | (170) ~ (e12 = e10)
% 17.12/4.59 |
% 17.12/4.59 +-Applying beta-rule and splitting (48), into two cases.
% 17.12/4.59 |-Branch one:
% 17.12/4.59 | (1183) all_0_151_151 = e10
% 17.12/4.59 |
% 17.12/4.59 | Equations (1183) can reduce 10 to:
% 17.12/4.59 | (1148) ~ (all_0_140_140 = e10)
% 17.12/4.59 |
% 17.12/4.59 | Equations (1183) can reduce 122 to:
% 17.12/4.59 | (1424) ~ (all_0_143_143 = e10)
% 17.12/4.59 |
% 17.12/4.59 | Equations (1183) can reduce 319 to:
% 17.12/4.59 | (1435) ~ (all_0_147_147 = e10)
% 17.12/4.59 |
% 17.12/4.59 | Equations (1183) can reduce 252 to:
% 17.12/4.59 | (1507) ~ (e13 = e10)
% 17.12/4.59 |
% 17.12/4.59 | Simplifying 1507 yields:
% 17.12/4.59 | (208) ~ (e13 = e10)
% 17.12/4.59 |
% 17.12/4.59 | Equations (1183) can reduce 255 to:
% 17.12/4.59 | (1181) ~ (e11 = e10)
% 17.12/4.59 |
% 17.12/4.59 | Simplifying 1181 yields:
% 17.12/4.59 | (308) ~ (e11 = e10)
% 17.12/4.59 |
% 17.12/4.59 +-Applying beta-rule and splitting (275), into two cases.
% 17.12/4.59 |-Branch one:
% 17.12/4.59 | (1359) all_0_150_150 = e12
% 17.12/4.59 |
% 17.12/4.59 | Equations (1359) can reduce 322 to:
% 17.12/4.59 | (66) ~ (all_0_139_139 = e12)
% 17.12/4.59 |
% 17.12/4.59 | Equations (1359) can reduce 23 to:
% 17.12/4.59 | (1236) ~ (all_0_146_146 = e12)
% 17.12/4.59 |
% 17.12/4.59 +-Applying beta-rule and splitting (273), into two cases.
% 17.12/4.59 |-Branch one:
% 17.12/4.59 | (1238) all_0_140_140 = e10
% 17.12/4.59 |
% 17.12/4.59 | Equations (1238) can reduce 1148 to:
% 17.12/4.59 | (397) $false
% 17.12/4.59 |
% 17.12/4.59 |-The branch is then unsatisfiable
% 17.12/4.59 |-Branch two:
% 17.12/4.59 | (1148) ~ (all_0_140_140 = e10)
% 17.12/4.59 | (1241) all_0_140_140 = e13 | all_0_140_140 = e11
% 17.12/4.59 |
% 17.12/4.59 +-Applying beta-rule and splitting (386), into two cases.
% 17.12/4.59 |-Branch one:
% 17.12/4.59 | (1461) all_0_139_139 = e10
% 17.12/4.59 |
% 17.12/4.59 | Equations (1461) can reduce 125 to:
% 17.12/4.59 | (2427) ~ (all_0_140_140 = e10)
% 17.12/4.59 |
% 17.12/4.59 | Simplifying 2427 yields:
% 17.12/4.59 | (1148) ~ (all_0_140_140 = e10)
% 17.12/4.59 |
% 17.12/4.59 | Equations (1461) can reduce 66 to:
% 17.12/4.59 | (1254) ~ (e12 = e10)
% 17.12/4.59 |
% 17.12/4.59 | Simplifying 1254 yields:
% 17.12/4.59 | (170) ~ (e12 = e10)
% 17.12/4.59 |
% 17.12/4.59 | Equations (1461) can reduce 1415 to:
% 17.12/4.59 | (1181) ~ (e11 = e10)
% 17.12/4.59 |
% 17.12/4.59 | Simplifying 1181 yields:
% 17.12/4.59 | (308) ~ (e11 = e10)
% 17.12/4.59 |
% 17.12/4.59 +-Applying beta-rule and splitting (27), into two cases.
% 17.12/4.59 |-Branch one:
% 17.12/4.59 | (1272) all_0_139_139 = e13
% 17.12/4.59 |
% 17.12/4.59 | Combining equations (1272,1461) yields a new equation:
% 17.12/4.59 | (1371) e13 = e10
% 17.12/4.59 |
% 17.12/4.59 | Simplifying 1371 yields:
% 17.12/4.59 | (1343) e13 = e10
% 17.12/4.59 |
% 17.12/4.59 | Equations (1343) can reduce 208 to:
% 17.12/4.59 | (397) $false
% 17.12/4.59 |
% 17.12/4.59 |-The branch is then unsatisfiable
% 17.12/4.59 |-Branch two:
% 17.12/4.59 | (1200) ~ (all_0_139_139 = e13)
% 17.12/4.59 | (1201) all_0_140_140 = e13
% 17.12/4.59 |
% 17.12/4.59 | Equations (1201) can reduce 1224 to:
% 17.12/4.59 | (363) ~ (e13 = e11)
% 17.12/4.59 |
% 17.12/4.59 | Equations (1201) can reduce 1148 to:
% 17.12/4.59 | (208) ~ (e13 = e10)
% 17.12/4.59 |
% 17.12/4.59 +-Applying beta-rule and splitting (380), into two cases.
% 17.12/4.59 |-Branch one:
% 17.12/4.59 | (1408) all_0_146_146 = e12
% 17.12/4.59 |
% 17.12/4.59 | Equations (1408) can reduce 1236 to:
% 17.12/4.59 | (397) $false
% 17.12/4.59 |
% 17.12/4.59 |-The branch is then unsatisfiable
% 17.12/4.59 |-Branch two:
% 17.12/4.59 | (1236) ~ (all_0_146_146 = e12)
% 17.12/4.59 | (1840) all_0_147_147 = e12 | all_0_148_148 = e12
% 17.12/4.59 |
% 17.12/4.59 +-Applying beta-rule and splitting (42), into two cases.
% 17.12/4.59 |-Branch one:
% 17.12/4.59 | (1272) all_0_139_139 = e13
% 17.12/4.59 |
% 17.12/4.59 | Combining equations (1272,1461) yields a new equation:
% 17.12/4.59 | (1371) e13 = e10
% 17.12/4.59 |
% 17.12/4.59 | Simplifying 1371 yields:
% 17.12/4.59 | (1343) e13 = e10
% 17.12/4.59 |
% 17.12/4.59 | Equations (1343) can reduce 208 to:
% 17.12/4.59 | (397) $false
% 17.12/4.59 |
% 17.12/4.59 |-The branch is then unsatisfiable
% 17.12/4.59 |-Branch two:
% 17.12/4.59 | (1200) ~ (all_0_139_139 = e13)
% 17.12/4.59 | (1277) all_0_142_142 = e13 | all_0_146_146 = e13
% 17.12/4.59 |
% 17.12/4.59 +-Applying beta-rule and splitting (1840), into two cases.
% 17.12/4.59 |-Branch one:
% 17.12/4.59 | (1215) all_0_147_147 = e12
% 17.12/4.59 |
% 17.12/4.59 | Equations (1215) can reduce 333 to:
% 17.12/4.59 | (1236) ~ (all_0_146_146 = e12)
% 17.12/4.59 |
% 17.12/4.59 | Equations (1215) can reduce 1435 to:
% 17.12/4.59 | (170) ~ (e12 = e10)
% 17.12/4.59 |
% 17.12/4.59 +-Applying beta-rule and splitting (79), into two cases.
% 17.12/4.59 |-Branch one:
% 17.12/4.59 | (1207) all_0_146_146 = e11
% 17.12/4.59 |
% 17.12/4.59 | Equations (1207) can reduce 49 to:
% 17.12/4.59 | (1265) ~ (all_0_142_142 = e11)
% 17.12/4.59 |
% 17.12/4.59 | Equations (1207) can reduce 1391 to:
% 17.12/4.59 | (1266) ~ (e13 = e11)
% 17.12/4.59 |
% 17.12/4.59 | Simplifying 1266 yields:
% 17.12/4.59 | (363) ~ (e13 = e11)
% 17.12/4.59 |
% 17.12/4.59 | Equations (1207) can reduce 1236 to:
% 17.12/4.59 | (1226) ~ (e12 = e11)
% 17.12/4.59 |
% 17.12/4.59 | Simplifying 1226 yields:
% 17.12/4.59 | (321) ~ (e12 = e11)
% 17.12/4.59 |
% 17.12/4.59 +-Applying beta-rule and splitting (126), into two cases.
% 17.12/4.59 |-Branch one:
% 17.12/4.59 | (1281) all_0_142_142 = e11
% 17.12/4.59 |
% 17.12/4.59 | Equations (1281) can reduce 1265 to:
% 17.12/4.59 | (397) $false
% 17.12/4.59 |
% 17.12/4.59 |-The branch is then unsatisfiable
% 17.12/4.59 |-Branch two:
% 17.12/4.59 | (1265) ~ (all_0_142_142 = e11)
% 17.12/4.59 | (1911) all_0_143_143 = e11 | all_0_144_144 = e11
% 17.12/4.59 |
% 17.12/4.59 +-Applying beta-rule and splitting (95), into two cases.
% 17.12/4.59 |-Branch one:
% 17.12/4.59 | (1246) all_0_140_140 = e11
% 17.12/4.59 |
% 17.12/4.59 | Combining equations (1201,1246) yields a new equation:
% 17.12/4.59 | (1273) e13 = e11
% 17.12/4.59 |
% 17.12/4.59 | Simplifying 1273 yields:
% 17.12/4.59 | (1274) e13 = e11
% 17.12/4.59 |
% 17.12/4.59 | Equations (1274) can reduce 363 to:
% 17.12/4.59 | (397) $false
% 17.12/4.59 |
% 17.12/4.59 |-The branch is then unsatisfiable
% 17.12/4.59 |-Branch two:
% 17.12/4.59 | (1224) ~ (all_0_140_140 = e11)
% 17.12/4.59 | (1902) all_0_143_143 = e11 | all_0_147_147 = e11
% 17.12/4.59 |
% 17.12/4.59 | Equations (1201) can reduce 1224 to:
% 17.12/4.59 | (363) ~ (e13 = e11)
% 17.12/4.59 |
% 17.12/4.59 +-Applying beta-rule and splitting (1277), into two cases.
% 17.12/4.59 |-Branch one:
% 17.12/4.59 | (1203) all_0_142_142 = e13
% 17.12/4.59 |
% 17.12/4.59 | Equations (1203) can reduce 355 to:
% 17.12/4.59 | (1777) ~ (all_0_143_143 = e13)
% 17.12/4.59 |
% 17.12/4.59 | Simplifying 1777 yields:
% 17.12/4.59 | (1778) ~ (all_0_143_143 = e13)
% 17.12/4.59 |
% 17.12/4.59 +-Applying beta-rule and splitting (1911), into two cases.
% 17.12/4.59 |-Branch one:
% 17.12/4.59 | (1940) all_0_143_143 = e11
% 17.12/4.59 |
% 17.12/4.59 | Equations (1940) can reduce 1778 to:
% 17.12/4.59 | (1266) ~ (e13 = e11)
% 17.12/4.59 |
% 17.12/4.59 | Simplifying 1266 yields:
% 17.12/4.59 | (363) ~ (e13 = e11)
% 17.12/4.59 |
% 17.12/4.59 | Equations (1940) can reduce 1424 to:
% 17.12/4.59 | (308) ~ (e11 = e10)
% 17.12/4.59 |
% 17.12/4.59 +-Applying beta-rule and splitting (258), into two cases.
% 17.12/4.59 |-Branch one:
% 17.12/4.59 | (1850) ~ (all_0_149_149 = e13)
% 17.12/4.59 |
% 17.12/4.59 | Equations (1353) can reduce 1850 to:
% 17.12/4.59 | (397) $false
% 17.12/4.59 |
% 17.12/4.59 |-The branch is then unsatisfiable
% 17.12/4.59 |-Branch two:
% 17.12/4.59 | (1353) all_0_149_149 = e13
% 17.12/4.59 | (1853) (all_0_139_139 = e11 & ( ~ (all_0_141_141 = e11) | ~ (all_0_146_146 = e11)) & ( ~ (all_0_141_141 = e10) | ~ (all_0_146_146 = e10))) | (all_0_139_139 = e10 & ~ (all_0_150_150 = e12)) | (all_0_143_143 = e13 & ( ~ (all_0_140_140 = e13) | ~ (all_0_142_142 = e13)) & ( ~ (all_0_140_140 = e11) | ~ (all_0_142_142 = e11)) & ( ~ (all_0_140_140 = e10) | ~ (all_0_142_142 = e10))) | (all_0_143_143 = e11 & ( ~ (all_0_144_144 = e12) | ~ (all_0_147_147 = e12)) & ( ~ (all_0_144_144 = e11) | ~ (all_0_147_147 = e11)) & ( ~ (all_0_144_144 = e10) | ~ (all_0_147_147 = e10))) | (all_0_143_143 = e10 & ( ~ (all_0_145_145 = e10) | ~ (all_0_151_151 = e10))) | (all_0_148_148 = e12 & ( ~ (all_0_144_144 = e12) | ~ (all_0_147_147 = e12)) & ( ~ (all_0_144_144 = e11) | ~ (all_0_147_147 = e11)) & ( ~ (all_0_144_144 = e10) | ~ (all_0_147_147 = e10)))
% 17.12/4.59 |
% 17.12/4.59 +-Applying beta-rule and splitting (1853), into two cases.
% 17.12/4.59 |-Branch one:
% 17.12/4.59 | (1854) (all_0_139_139 = e11 & ( ~ (all_0_141_141 = e11) | ~ (all_0_146_146 = e11)) & ( ~ (all_0_141_141 = e10) | ~ (all_0_146_146 = e10))) | (all_0_139_139 = e10 & ~ (all_0_150_150 = e12)) | (all_0_143_143 = e13 & ( ~ (all_0_140_140 = e13) | ~ (all_0_142_142 = e13)) & ( ~ (all_0_140_140 = e11) | ~ (all_0_142_142 = e11)) & ( ~ (all_0_140_140 = e10) | ~ (all_0_142_142 = e10))) | (all_0_143_143 = e11 & ( ~ (all_0_144_144 = e12) | ~ (all_0_147_147 = e12)) & ( ~ (all_0_144_144 = e11) | ~ (all_0_147_147 = e11)) & ( ~ (all_0_144_144 = e10) | ~ (all_0_147_147 = e10))) | (all_0_143_143 = e10 & ( ~ (all_0_145_145 = e10) | ~ (all_0_151_151 = e10)))
% 17.12/4.59 |
% 17.12/4.59 +-Applying beta-rule and splitting (1854), into two cases.
% 17.12/4.59 |-Branch one:
% 17.12/4.59 | (1855) (all_0_139_139 = e11 & ( ~ (all_0_141_141 = e11) | ~ (all_0_146_146 = e11)) & ( ~ (all_0_141_141 = e10) | ~ (all_0_146_146 = e10))) | (all_0_139_139 = e10 & ~ (all_0_150_150 = e12)) | (all_0_143_143 = e13 & ( ~ (all_0_140_140 = e13) | ~ (all_0_142_142 = e13)) & ( ~ (all_0_140_140 = e11) | ~ (all_0_142_142 = e11)) & ( ~ (all_0_140_140 = e10) | ~ (all_0_142_142 = e10))) | (all_0_143_143 = e11 & ( ~ (all_0_144_144 = e12) | ~ (all_0_147_147 = e12)) & ( ~ (all_0_144_144 = e11) | ~ (all_0_147_147 = e11)) & ( ~ (all_0_144_144 = e10) | ~ (all_0_147_147 = e10)))
% 17.12/4.59 |
% 17.12/4.59 +-Applying beta-rule and splitting (1855), into two cases.
% 17.12/4.59 |-Branch one:
% 17.12/4.59 | (1856) (all_0_139_139 = e11 & ( ~ (all_0_141_141 = e11) | ~ (all_0_146_146 = e11)) & ( ~ (all_0_141_141 = e10) | ~ (all_0_146_146 = e10))) | (all_0_139_139 = e10 & ~ (all_0_150_150 = e12)) | (all_0_143_143 = e13 & ( ~ (all_0_140_140 = e13) | ~ (all_0_142_142 = e13)) & ( ~ (all_0_140_140 = e11) | ~ (all_0_142_142 = e11)) & ( ~ (all_0_140_140 = e10) | ~ (all_0_142_142 = e10)))
% 17.12/4.59 |
% 17.12/4.59 +-Applying beta-rule and splitting (1856), into two cases.
% 17.12/4.59 |-Branch one:
% 17.12/4.59 | (1857) (all_0_139_139 = e11 & ( ~ (all_0_141_141 = e11) | ~ (all_0_146_146 = e11)) & ( ~ (all_0_141_141 = e10) | ~ (all_0_146_146 = e10))) | (all_0_139_139 = e10 & ~ (all_0_150_150 = e12))
% 17.12/4.59 |
% 17.12/4.59 +-Applying beta-rule and splitting (1857), into two cases.
% 17.12/4.59 |-Branch one:
% 17.12/4.59 | (1858) all_0_139_139 = e11 & ( ~ (all_0_141_141 = e11) | ~ (all_0_146_146 = e11)) & ( ~ (all_0_141_141 = e10) | ~ (all_0_146_146 = e10))
% 17.12/4.59 |
% 17.12/4.59 | Applying alpha-rule on (1858) yields:
% 17.12/4.59 | (1263) all_0_139_139 = e11
% 17.12/4.59 | (1860) ~ (all_0_141_141 = e11) | ~ (all_0_146_146 = e11)
% 17.12/4.59 | (1861) ~ (all_0_141_141 = e10) | ~ (all_0_146_146 = e10)
% 17.12/4.59 |
% 17.12/4.59 | Combining equations (1461,1263) yields a new equation:
% 17.12/4.59 | (1211) e11 = e10
% 17.12/4.59 |
% 17.12/4.59 | Equations (1211) can reduce 308 to:
% 17.12/4.59 | (397) $false
% 17.12/4.59 |
% 17.12/4.59 |-The branch is then unsatisfiable
% 17.12/4.59 |-Branch two:
% 17.12/4.59 | (1867) all_0_139_139 = e10 & ~ (all_0_150_150 = e12)
% 17.12/4.59 |
% 17.12/4.59 | Applying alpha-rule on (1867) yields:
% 17.12/4.59 | (1461) all_0_139_139 = e10
% 17.12/4.59 | (1869) ~ (all_0_150_150 = e12)
% 17.12/4.59 |
% 17.12/4.59 | Equations (1359) can reduce 1869 to:
% 17.12/4.59 | (397) $false
% 17.12/4.59 |
% 17.12/4.59 |-The branch is then unsatisfiable
% 17.12/4.59 |-Branch two:
% 17.12/4.59 | (1871) all_0_143_143 = e13 & ( ~ (all_0_140_140 = e13) | ~ (all_0_142_142 = e13)) & ( ~ (all_0_140_140 = e11) | ~ (all_0_142_142 = e11)) & ( ~ (all_0_140_140 = e10) | ~ (all_0_142_142 = e10))
% 17.12/4.59 |
% 17.12/4.59 | Applying alpha-rule on (1871) yields:
% 17.12/4.59 | (1787) all_0_143_143 = e13
% 17.12/4.59 | (1873) ~ (all_0_140_140 = e13) | ~ (all_0_142_142 = e13)
% 17.12/4.59 | (1874) ~ (all_0_140_140 = e11) | ~ (all_0_142_142 = e11)
% 17.12/4.59 | (1875) ~ (all_0_140_140 = e10) | ~ (all_0_142_142 = e10)
% 17.12/4.59 |
% 17.12/4.60 | Combining equations (1940,1787) yields a new equation:
% 17.12/4.60 | (1274) e13 = e11
% 17.12/4.60 |
% 17.12/4.60 | Equations (1274) can reduce 363 to:
% 17.12/4.60 | (397) $false
% 17.12/4.60 |
% 17.12/4.60 |-The branch is then unsatisfiable
% 17.12/4.60 |-Branch two:
% 17.12/4.60 | (1939) all_0_143_143 = e11 & ( ~ (all_0_144_144 = e12) | ~ (all_0_147_147 = e12)) & ( ~ (all_0_144_144 = e11) | ~ (all_0_147_147 = e11)) & ( ~ (all_0_144_144 = e10) | ~ (all_0_147_147 = e10))
% 17.12/4.60 |
% 17.12/4.60 | Applying alpha-rule on (1939) yields:
% 17.12/4.60 | (1940) all_0_143_143 = e11
% 17.12/4.60 | (1941) ~ (all_0_144_144 = e12) | ~ (all_0_147_147 = e12)
% 17.12/4.60 | (1942) ~ (all_0_144_144 = e11) | ~ (all_0_147_147 = e11)
% 17.12/4.60 | (1943) ~ (all_0_144_144 = e10) | ~ (all_0_147_147 = e10)
% 17.12/4.60 |
% 17.12/4.60 +-Applying beta-rule and splitting (1941), into two cases.
% 17.12/4.60 |-Branch one:
% 17.12/4.60 | (1208) ~ (all_0_144_144 = e12)
% 17.12/4.60 |
% 17.12/4.60 | Equations (1218) can reduce 1208 to:
% 17.12/4.60 | (397) $false
% 17.12/4.60 |
% 17.12/4.60 |-The branch is then unsatisfiable
% 17.12/4.60 |-Branch two:
% 17.12/4.60 | (1218) all_0_144_144 = e12
% 17.12/4.60 | (1188) ~ (all_0_147_147 = e12)
% 17.12/4.60 |
% 17.12/4.60 | Equations (1215) can reduce 1188 to:
% 17.12/4.60 | (397) $false
% 17.12/4.60 |
% 17.12/4.60 |-The branch is then unsatisfiable
% 17.12/4.60 |-Branch two:
% 17.12/4.60 | (1949) all_0_143_143 = e10 & ( ~ (all_0_145_145 = e10) | ~ (all_0_151_151 = e10))
% 17.12/4.60 |
% 17.12/4.60 | Applying alpha-rule on (1949) yields:
% 17.12/4.60 | (1252) all_0_143_143 = e10
% 17.12/4.60 | (1951) ~ (all_0_145_145 = e10) | ~ (all_0_151_151 = e10)
% 17.12/4.60 |
% 17.12/4.60 | Combining equations (1940,1252) yields a new equation:
% 17.12/4.60 | (1210) e11 = e10
% 17.12/4.60 |
% 17.12/4.60 | Simplifying 1210 yields:
% 17.12/4.60 | (1211) e11 = e10
% 17.12/4.60 |
% 17.12/4.60 | Equations (1211) can reduce 308 to:
% 17.12/4.60 | (397) $false
% 17.12/4.60 |
% 17.12/4.60 |-The branch is then unsatisfiable
% 17.12/4.60 |-Branch two:
% 17.12/4.60 | (1953) all_0_148_148 = e12 & ( ~ (all_0_144_144 = e12) | ~ (all_0_147_147 = e12)) & ( ~ (all_0_144_144 = e11) | ~ (all_0_147_147 = e11)) & ( ~ (all_0_144_144 = e10) | ~ (all_0_147_147 = e10))
% 17.12/4.60 |
% 17.12/4.60 | Applying alpha-rule on (1953) yields:
% 17.12/4.60 | (1235) all_0_148_148 = e12
% 17.12/4.60 | (1941) ~ (all_0_144_144 = e12) | ~ (all_0_147_147 = e12)
% 17.12/4.60 | (1942) ~ (all_0_144_144 = e11) | ~ (all_0_147_147 = e11)
% 17.12/4.60 | (1943) ~ (all_0_144_144 = e10) | ~ (all_0_147_147 = e10)
% 17.12/4.60 |
% 17.12/4.60 | Combining equations (1832,1235) yields a new equation:
% 17.12/4.60 | (1360) e12 = e10
% 17.12/4.60 |
% 17.12/4.60 | Equations (1360) can reduce 170 to:
% 17.12/4.60 | (397) $false
% 17.12/4.60 |
% 17.12/4.60 |-The branch is then unsatisfiable
% 17.12/4.60 |-Branch two:
% 17.12/4.60 | (1225) ~ (all_0_143_143 = e11)
% 17.12/4.60 | (1221) all_0_144_144 = e11
% 17.12/4.60 |
% 17.12/4.60 | Combining equations (1218,1221) yields a new equation:
% 17.12/4.60 | (1388) e12 = e11
% 17.12/4.60 |
% 17.12/4.60 | Simplifying 1388 yields:
% 17.12/4.60 | (1232) e12 = e11
% 17.12/4.60 |
% 17.12/4.60 | Equations (1232) can reduce 321 to:
% 17.12/4.60 | (397) $false
% 17.12/4.60 |
% 17.12/4.60 |-The branch is then unsatisfiable
% 17.12/4.60 |-Branch two:
% 17.12/4.60 | (1168) ~ (all_0_142_142 = e13)
% 17.12/4.60 | (1278) all_0_146_146 = e13
% 17.12/4.60 |
% 17.12/4.60 | Combining equations (1207,1278) yields a new equation:
% 17.12/4.60 | (1274) e13 = e11
% 17.12/4.60 |
% 17.12/4.60 | Equations (1274) can reduce 363 to:
% 17.12/4.60 | (397) $false
% 17.12/4.60 |
% 17.12/4.60 |-The branch is then unsatisfiable
% 17.12/4.60 |-Branch two:
% 17.12/4.60 | (1202) ~ (all_0_146_146 = e11)
% 17.12/4.60 | (2536) all_0_147_147 = e11 | all_0_148_148 = e11
% 17.12/4.60 |
% 17.12/4.60 +-Applying beta-rule and splitting (58), into two cases.
% 17.12/4.60 |-Branch one:
% 17.12/4.60 | (1263) all_0_139_139 = e11
% 17.12/4.60 |
% 17.12/4.60 | Combining equations (1263,1461) yields a new equation:
% 17.12/4.60 | (1210) e11 = e10
% 17.12/4.60 |
% 17.12/4.60 | Simplifying 1210 yields:
% 17.12/4.60 | (1211) e11 = e10
% 17.12/4.60 |
% 17.12/4.60 | Equations (1211) can reduce 308 to:
% 17.12/4.60 | (397) $false
% 17.12/4.60 |
% 17.12/4.60 |-The branch is then unsatisfiable
% 17.12/4.60 |-Branch two:
% 17.12/4.60 | (1415) ~ (all_0_139_139 = e11)
% 17.12/4.60 | (1474) all_0_142_142 = e11 | all_0_146_146 = e11
% 17.12/4.60 |
% 17.12/4.60 +-Applying beta-rule and splitting (95), into two cases.
% 17.12/4.60 |-Branch one:
% 17.12/4.60 | (1246) all_0_140_140 = e11
% 17.12/4.60 |
% 17.12/4.60 | Combining equations (1246,1201) yields a new equation:
% 17.12/4.60 | (1274) e13 = e11
% 17.12/4.60 |
% 17.12/4.60 | Equations (1274) can reduce 363 to:
% 17.12/4.60 | (397) $false
% 17.12/4.60 |
% 17.12/4.60 |-The branch is then unsatisfiable
% 17.12/4.60 |-Branch two:
% 17.12/4.60 | (1224) ~ (all_0_140_140 = e11)
% 17.12/4.60 | (1902) all_0_143_143 = e11 | all_0_147_147 = e11
% 17.12/4.60 |
% 17.12/4.60 | Equations (1201) can reduce 1224 to:
% 17.12/4.60 | (363) ~ (e13 = e11)
% 17.12/4.60 |
% 17.12/4.60 +-Applying beta-rule and splitting (340), into two cases.
% 17.12/4.60 |-Branch one:
% 17.12/4.60 | (1203) all_0_142_142 = e13
% 17.12/4.60 |
% 17.12/4.60 +-Applying beta-rule and splitting (1474), into two cases.
% 17.12/4.60 |-Branch one:
% 17.12/4.60 | (1281) all_0_142_142 = e11
% 17.12/4.60 |
% 17.12/4.60 | Combining equations (1203,1281) yields a new equation:
% 17.12/4.60 | (1273) e13 = e11
% 17.12/4.60 |
% 17.12/4.60 | Simplifying 1273 yields:
% 17.12/4.60 | (1274) e13 = e11
% 17.12/4.60 |
% 17.12/4.60 | Equations (1274) can reduce 363 to:
% 17.12/4.60 | (397) $false
% 17.12/4.60 |
% 17.12/4.60 |-The branch is then unsatisfiable
% 17.12/4.60 |-Branch two:
% 17.12/4.60 | (1265) ~ (all_0_142_142 = e11)
% 17.12/4.60 | (1207) all_0_146_146 = e11
% 17.12/4.60 |
% 17.12/4.60 | Equations (1207) can reduce 1202 to:
% 17.12/4.60 | (397) $false
% 17.12/4.60 |
% 17.12/4.60 |-The branch is then unsatisfiable
% 17.12/4.60 |-Branch two:
% 17.12/4.60 | (1168) ~ (all_0_142_142 = e13)
% 17.12/4.60 | (1786) all_0_143_143 = e13 | all_0_145_145 = e13
% 17.12/4.60 |
% 17.12/4.60 +-Applying beta-rule and splitting (1277), into two cases.
% 17.12/4.60 |-Branch one:
% 17.12/4.60 | (1203) all_0_142_142 = e13
% 17.12/4.60 |
% 17.12/4.60 | Equations (1203) can reduce 1168 to:
% 17.12/4.60 | (397) $false
% 17.12/4.60 |
% 17.12/4.60 |-The branch is then unsatisfiable
% 17.12/4.60 |-Branch two:
% 17.12/4.60 | (1168) ~ (all_0_142_142 = e13)
% 17.12/4.60 | (1278) all_0_146_146 = e13
% 17.12/4.60 |
% 17.12/4.60 | Equations (1278) can reduce 1391 to:
% 17.12/4.60 | (397) $false
% 17.12/4.60 |
% 17.12/4.60 |-The branch is then unsatisfiable
% 17.12/4.60 |-Branch two:
% 17.12/4.60 | (1188) ~ (all_0_147_147 = e12)
% 17.12/4.60 | (1235) all_0_148_148 = e12
% 17.12/4.60 |
% 17.12/4.60 | Combining equations (1832,1235) yields a new equation:
% 17.12/4.60 | (1360) e12 = e10
% 17.12/4.60 |
% 17.12/4.60 | Equations (1360) can reduce 170 to:
% 17.12/4.60 | (397) $false
% 17.12/4.60 |
% 17.12/4.60 |-The branch is then unsatisfiable
% 17.12/4.60 |-Branch two:
% 17.12/4.60 | (1177) ~ (all_0_139_139 = e10)
% 17.12/4.60 | (2292) all_0_140_140 = e10 | all_0_141_141 = e10
% 17.12/4.60 |
% 17.12/4.60 +-Applying beta-rule and splitting (2292), into two cases.
% 17.12/4.60 |-Branch one:
% 17.12/4.60 | (1238) all_0_140_140 = e10
% 17.12/4.60 |
% 17.12/4.60 | Equations (1238) can reduce 1148 to:
% 17.12/4.60 | (397) $false
% 17.12/4.60 |
% 17.12/4.60 |-The branch is then unsatisfiable
% 17.12/4.60 |-Branch two:
% 17.12/4.60 | (1148) ~ (all_0_140_140 = e10)
% 17.12/4.60 | (1147) all_0_141_141 = e10
% 17.12/4.60 |
% 17.12/4.60 | Combining equations (1147,1206) yields a new equation:
% 17.12/4.60 | (1211) e11 = e10
% 17.12/4.60 |
% 17.12/4.60 | Equations (1211) can reduce 308 to:
% 17.12/4.60 | (397) $false
% 17.12/4.60 |
% 17.12/4.60 |-The branch is then unsatisfiable
% 17.12/4.60 |-Branch two:
% 17.12/4.60 | (1869) ~ (all_0_150_150 = e12)
% 17.12/4.60 | (1186) all_0_151_151 = e12
% 17.12/4.60 |
% 17.12/4.60 | Combining equations (1186,1183) yields a new equation:
% 17.12/4.60 | (1412) e12 = e10
% 17.12/4.60 |
% 17.12/4.60 | Simplifying 1412 yields:
% 17.12/4.60 | (1360) e12 = e10
% 17.12/4.60 |
% 17.12/4.60 | Equations (1360) can reduce 170 to:
% 17.12/4.60 | (397) $false
% 17.12/4.60 |
% 17.12/4.60 |-The branch is then unsatisfiable
% 17.12/4.60 |-Branch two:
% 17.12/4.60 | (1180) ~ (all_0_151_151 = e10)
% 17.12/4.60 | (1186) all_0_151_151 = e12
% 17.12/4.60 |
% 17.12/4.60 | Equations (1186) can reduce 319 to:
% 17.12/4.60 | (1188) ~ (all_0_147_147 = e12)
% 17.12/4.60 |
% 17.12/4.60 | Equations (1186) can reduce 389 to:
% 17.12/4.60 | (1869) ~ (all_0_150_150 = e12)
% 17.12/4.60 |
% 17.12/4.60 | Equations (1186) can reduce 255 to:
% 17.12/4.60 | (321) ~ (e12 = e11)
% 17.12/4.60 |
% 17.12/4.60 | Equations (1186) can reduce 1180 to:
% 17.12/4.60 | (170) ~ (e12 = e10)
% 17.12/4.60 |
% 17.12/4.60 +-Applying beta-rule and splitting (245), into two cases.
% 17.12/4.60 |-Branch one:
% 17.12/4.60 | (1176) all_0_150_150 = e10
% 17.12/4.60 |
% 17.12/4.60 | Equations (1176) can reduce 1869 to:
% 17.12/4.60 | (1254) ~ (e12 = e10)
% 17.12/4.60 |
% 17.12/4.60 | Simplifying 1254 yields:
% 17.12/4.60 | (170) ~ (e12 = e10)
% 17.12/4.60 |
% 17.12/4.60 +-Applying beta-rule and splitting (251), into two cases.
% 17.12/4.60 |-Branch one:
% 17.12/4.60 | (1195) (all_0_140_140 = e13 & all_0_142_142 = e13 & ~ (all_0_139_139 = e13) & ~ (all_0_146_146 = e11) & ~ (all_0_150_150 = e10)) | (all_0_141_141 = e11 & all_0_146_146 = e11 & ~ (all_0_144_144 = e12) & ~ (all_0_148_148 = e11)) | (all_0_144_144 = e12 & all_0_147_147 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_151_151 = e10)) | (all_0_144_144 = e11 & all_0_147_147 = e11 & ~ (all_0_148_148 = e11))
% 17.12/4.60 |
% 17.12/4.60 +-Applying beta-rule and splitting (1195), into two cases.
% 17.12/4.60 |-Branch one:
% 17.12/4.60 | (1196) (all_0_140_140 = e13 & all_0_142_142 = e13 & ~ (all_0_139_139 = e13) & ~ (all_0_146_146 = e11) & ~ (all_0_150_150 = e10)) | (all_0_141_141 = e11 & all_0_146_146 = e11 & ~ (all_0_144_144 = e12) & ~ (all_0_148_148 = e11)) | (all_0_144_144 = e12 & all_0_147_147 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_151_151 = e10))
% 17.12/4.60 |
% 17.12/4.60 +-Applying beta-rule and splitting (1196), into two cases.
% 17.12/4.60 |-Branch one:
% 17.12/4.61 | (1197) (all_0_140_140 = e13 & all_0_142_142 = e13 & ~ (all_0_139_139 = e13) & ~ (all_0_146_146 = e11) & ~ (all_0_150_150 = e10)) | (all_0_141_141 = e11 & all_0_146_146 = e11 & ~ (all_0_144_144 = e12) & ~ (all_0_148_148 = e11))
% 17.12/4.61 |
% 17.12/4.61 +-Applying beta-rule and splitting (1197), into two cases.
% 17.12/4.61 |-Branch one:
% 17.12/4.61 | (1198) all_0_140_140 = e13 & all_0_142_142 = e13 & ~ (all_0_139_139 = e13) & ~ (all_0_146_146 = e11) & ~ (all_0_150_150 = e10)
% 17.12/4.61 |
% 17.12/4.61 | Applying alpha-rule on (1198) yields:
% 17.12/4.61 | (1199) ~ (all_0_150_150 = e10)
% 17.12/4.61 | (1200) ~ (all_0_139_139 = e13)
% 17.12/4.61 | (1201) all_0_140_140 = e13
% 17.12/4.61 | (1202) ~ (all_0_146_146 = e11)
% 17.12/4.61 | (1203) all_0_142_142 = e13
% 17.12/4.61 |
% 17.12/4.61 | Equations (1176) can reduce 1199 to:
% 17.12/4.61 | (397) $false
% 17.12/4.61 |
% 17.12/4.61 |-The branch is then unsatisfiable
% 17.12/4.61 |-Branch two:
% 17.12/4.61 | (1205) all_0_141_141 = e11 & all_0_146_146 = e11 & ~ (all_0_144_144 = e12) & ~ (all_0_148_148 = e11)
% 17.12/4.61 |
% 17.12/4.61 | Applying alpha-rule on (1205) yields:
% 17.12/4.61 | (1206) all_0_141_141 = e11
% 17.12/4.61 | (1207) all_0_146_146 = e11
% 17.12/4.61 | (1208) ~ (all_0_144_144 = e12)
% 17.12/4.61 | (1209) ~ (all_0_148_148 = e11)
% 17.12/4.61 |
% 17.12/4.61 | Equations (1218) can reduce 1208 to:
% 17.12/4.61 | (397) $false
% 17.12/4.61 |
% 17.12/4.61 |-The branch is then unsatisfiable
% 17.12/4.61 |-Branch two:
% 17.12/4.61 | (1213) all_0_144_144 = e12 & all_0_147_147 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_151_151 = e10)
% 17.12/4.61 |
% 17.12/4.61 | Applying alpha-rule on (1213) yields:
% 17.12/4.61 | (1180) ~ (all_0_151_151 = e10)
% 17.12/4.61 | (1215) all_0_147_147 = e12
% 17.12/4.61 | (1187) ~ (all_0_143_143 = e12)
% 17.12/4.61 | (1217) ~ (all_0_140_140 = e13)
% 17.12/4.61 | (1218) all_0_144_144 = e12
% 17.12/4.61 |
% 17.12/4.61 | Equations (1215) can reduce 1188 to:
% 17.12/4.61 | (397) $false
% 17.12/4.61 |
% 17.12/4.61 |-The branch is then unsatisfiable
% 17.12/4.61 |-Branch two:
% 17.12/4.61 | (1220) all_0_144_144 = e11 & all_0_147_147 = e11 & ~ (all_0_148_148 = e11)
% 17.12/4.61 |
% 17.12/4.61 | Applying alpha-rule on (1220) yields:
% 17.12/4.61 | (1221) all_0_144_144 = e11
% 17.12/4.61 | (1222) all_0_147_147 = e11
% 17.12/4.61 | (1209) ~ (all_0_148_148 = e11)
% 17.12/4.61 |
% 17.12/4.61 | Combining equations (1218,1221) yields a new equation:
% 17.12/4.61 | (1388) e12 = e11
% 17.12/4.61 |
% 17.12/4.61 | Simplifying 1388 yields:
% 17.12/4.61 | (1232) e12 = e11
% 17.12/4.61 |
% 17.12/4.61 | Equations (1232) can reduce 321 to:
% 17.12/4.61 | (397) $false
% 17.12/4.61 |
% 17.12/4.61 |-The branch is then unsatisfiable
% 17.12/4.61 |-Branch two:
% 17.12/4.61 | (1487) all_0_145_145 = e10 & all_0_151_151 = e10
% 17.12/4.61 |
% 17.12/4.61 | Applying alpha-rule on (1487) yields:
% 17.12/4.61 | (1164) all_0_145_145 = e10
% 17.12/4.61 | (1183) all_0_151_151 = e10
% 17.12/4.61 |
% 17.12/4.61 | Combining equations (1186,1183) yields a new equation:
% 17.12/4.61 | (1412) e12 = e10
% 17.12/4.61 |
% 17.12/4.61 | Simplifying 1412 yields:
% 17.12/4.61 | (1360) e12 = e10
% 17.12/4.61 |
% 17.12/4.61 | Equations (1360) can reduce 170 to:
% 17.12/4.61 | (397) $false
% 17.12/4.61 |
% 17.12/4.61 |-The branch is then unsatisfiable
% 17.12/4.61 |-Branch two:
% 17.12/4.61 | (1199) ~ (all_0_150_150 = e10)
% 17.12/4.61 | (1183) all_0_151_151 = e10
% 17.12/4.61 |
% 17.12/4.61 | Combining equations (1183,1186) yields a new equation:
% 17.12/4.61 | (1360) e12 = e10
% 17.12/4.61 |
% 17.12/4.61 | Equations (1360) can reduce 170 to:
% 17.12/4.61 | (397) $false
% 17.12/4.61 |
% 17.12/4.61 |-The branch is then unsatisfiable
% 17.12/4.61 |-Branch two:
% 17.12/4.61 | (1160) ~ (all_0_145_145 = e10)
% 17.12/4.61 | (1158) all_0_149_149 = e10
% 17.12/4.61 |
% 17.12/4.61 | Combining equations (1158,1353) yields a new equation:
% 17.12/4.61 | (1343) e13 = e10
% 17.12/4.61 |
% 17.12/4.61 | Equations (1343) can reduce 208 to:
% 17.12/4.61 | (397) $false
% 17.12/4.61 |
% 17.12/4.61 |-The branch is then unsatisfiable
% 17.12/4.61 |-Branch two:
% 17.12/4.61 | (492) ~ (all_0_126_126 = e21)
% 17.12/4.61 | (953) all_0_127_127 = e21 | all_0_128_128 = e21
% 17.12/4.61 |
% 17.12/4.61 +-Applying beta-rule and splitting (953), into two cases.
% 17.12/4.61 |-Branch one:
% 17.12/4.61 | (410) all_0_127_127 = e21
% 17.12/4.61 |
% 17.12/4.61 | Equations (410) can reduce 403 to:
% 17.12/4.61 | (397) $false
% 17.12/4.61 |
% 17.12/4.61 |-The branch is then unsatisfiable
% 17.12/4.61 |-Branch two:
% 17.12/4.61 | (403) ~ (all_0_127_127 = e21)
% 17.12/4.61 | (402) all_0_128_128 = e21
% 17.12/4.61 |
% 17.12/4.61 | Combining equations (449,402) yields a new equation:
% 17.12/4.61 | (450) e21 = e20
% 17.12/4.61 |
% 17.12/4.61 | Equations (450) can reduce 335 to:
% 17.12/4.61 | (397) $false
% 17.12/4.61 |
% 17.12/4.61 |-The branch is then unsatisfiable
% 17.12/4.61 |-Branch two:
% 17.12/4.61 | (469) ~ (all_0_130_130 = e22)
% 17.12/4.61 | (519) all_0_130_130 = e23
% 17.12/4.61 |
% 17.12/4.61 | Equations (519) can reduce 938 to:
% 17.12/4.61 | (397) $false
% 17.12/4.61 |
% 17.12/4.61 |-The branch is then unsatisfiable
% 17.12/4.61 |-Branch two:
% 17.12/4.61 | (418) ~ (all_0_129_129 = e20)
% 17.12/4.61 | (1043) all_0_133_133 = e20 | all_0_137_137 = e20
% 17.12/4.61 |
% 17.12/4.61 +-Applying beta-rule and splitting (1043), into two cases.
% 17.12/4.61 |-Branch one:
% 17.12/4.61 | (717) all_0_133_133 = e20
% 17.12/4.61 |
% 17.12/4.61 | Equations (717) can reduce 476 to:
% 17.12/4.61 | (397) $false
% 17.12/4.61 |
% 17.12/4.61 |-The branch is then unsatisfiable
% 17.12/4.61 |-Branch two:
% 17.12/4.61 | (476) ~ (all_0_133_133 = e20)
% 17.12/4.61 | (396) all_0_137_137 = e20
% 17.12/4.61 |
% 17.12/4.61 | Combining equations (399,396) yields a new equation:
% 17.12/4.61 | (546) e22 = e20
% 17.12/4.61 |
% 17.12/4.61 | Simplifying 546 yields:
% 17.12/4.61 | (547) e22 = e20
% 17.12/4.61 |
% 17.12/4.61 | Equations (547) can reduce 128 to:
% 17.12/4.61 | (397) $false
% 17.12/4.61 |
% 17.12/4.61 |-The branch is then unsatisfiable
% 17.12/4.61 |-Branch two:
% 17.12/4.61 | (658) all_0_132_132 = e20 & all_0_138_138 = e20
% 17.12/4.61 |
% 17.12/4.61 | Applying alpha-rule on (658) yields:
% 17.12/4.61 | (426) all_0_132_132 = e20
% 17.12/4.61 | (390) all_0_138_138 = e20
% 17.12/4.61 |
% 17.12/4.61 | Combining equations (426,582) yields a new equation:
% 17.12/4.61 | (442) e23 = e20
% 17.12/4.61 |
% 17.12/4.61 | Equations (442) can reduce 282 to:
% 17.12/4.61 | (397) $false
% 17.12/4.61 |
% 17.12/4.61 |-The branch is then unsatisfiable
% 17.12/4.61 |-Branch two:
% 17.12/4.61 | (642) ~ (all_0_138_138 = e20)
% 17.12/4.61 | (561) all_0_138_138 = e22
% 17.12/4.61 |
% 17.12/4.61 | Equations (561) can reduce 234 to:
% 17.12/4.61 | (178) ~ (all_0_127_127 = e22)
% 17.12/4.61 |
% 17.12/4.61 | Equations (561) can reduce 82 to:
% 17.12/4.61 | (469) ~ (all_0_130_130 = e22)
% 17.12/4.61 |
% 17.12/4.61 | Equations (561) can reduce 139 to:
% 17.12/4.61 | (534) ~ (all_0_134_134 = e22)
% 17.12/4.61 |
% 17.12/4.61 | Equations (561) can reduce 642 to:
% 17.12/4.61 | (128) ~ (e22 = e20)
% 17.12/4.61 |
% 17.12/4.61 | From (561) and (243) follows:
% 17.12/4.61 | (2665) op2(e22, e22) = all_0_112_112
% 17.12/4.61 |
% 17.12/4.61 +-Applying beta-rule and splitting (184), into two cases.
% 17.12/4.61 |-Branch one:
% 17.12/4.61 | (396) all_0_137_137 = e20
% 17.12/4.61 |
% 17.12/4.61 | Equations (396) can reduce 381 to:
% 17.12/4.61 | (697) ~ (all_0_126_126 = e20)
% 17.12/4.61 |
% 17.12/4.61 | Equations (396) can reduce 76 to:
% 17.12/4.61 | (418) ~ (all_0_129_129 = e20)
% 17.12/4.61 |
% 17.12/4.61 | Instantiating formula (94) with e22, e22, all_0_112_112, all_0_130_130 and discharging atoms op2(e22, e22) = all_0_112_112, op2(e22, e22) = all_0_130_130, yields:
% 17.12/4.61 | (2669) all_0_112_112 = all_0_130_130
% 17.12/4.61 |
% 17.12/4.61 +-Applying beta-rule and splitting (323), into two cases.
% 17.12/4.61 |-Branch one:
% 17.12/4.61 | (426) all_0_132_132 = e20
% 17.12/4.61 |
% 17.12/4.61 | Equations (426) can reduce 97 to:
% 17.12/4.61 | (392) ~ (all_0_130_130 = e20)
% 17.12/4.61 |
% 17.12/4.61 | Equations (426) can reduce 356 to:
% 17.12/4.61 | (428) ~ (all_0_136_136 = e20)
% 17.12/4.61 |
% 17.12/4.61 | Simplifying 428 yields:
% 17.12/4.61 | (429) ~ (all_0_136_136 = e20)
% 17.12/4.61 |
% 17.12/4.61 | Equations (426) can reduce 301 to:
% 17.12/4.61 | (430) ~ (e22 = e20)
% 17.12/4.61 |
% 17.12/4.61 | Simplifying 430 yields:
% 17.12/4.61 | (128) ~ (e22 = e20)
% 17.12/4.61 |
% 17.12/4.61 +-Applying beta-rule and splitting (55), into two cases.
% 17.12/4.61 |-Branch one:
% 17.12/4.61 | (434) all_0_136_136 = e20
% 17.12/4.61 |
% 17.12/4.61 | Equations (434) can reduce 429 to:
% 17.12/4.61 | (397) $false
% 17.12/4.61 |
% 17.12/4.61 |-The branch is then unsatisfiable
% 17.12/4.61 |-Branch two:
% 17.12/4.61 | (429) ~ (all_0_136_136 = e20)
% 17.12/4.61 | (437) all_0_136_136 = e23
% 17.12/4.61 |
% 17.12/4.61 | Equations (437) can reduce 378 to:
% 17.12/4.61 | (424) ~ (all_0_134_134 = e23)
% 17.12/4.61 |
% 17.12/4.61 +-Applying beta-rule and splitting (18), into two cases.
% 17.12/4.61 |-Branch one:
% 17.12/4.61 | (402) all_0_128_128 = e21
% 17.12/4.61 |
% 17.12/4.61 | Equations (402) can reduce 21 to:
% 17.12/4.61 | (404) ~ (all_0_131_131 = e21)
% 17.12/4.61 |
% 17.12/4.61 | Simplifying 404 yields:
% 17.12/4.61 | (405) ~ (all_0_131_131 = e21)
% 17.12/4.61 |
% 17.12/4.61 +-Applying beta-rule and splitting (296), into two cases.
% 17.12/4.61 |-Branch one:
% 17.12/4.61 | (620) (all_0_127_127 = e23 & all_0_129_129 = e23 & ~ (all_0_126_126 = e23) & ~ (all_0_133_133 = e21) & ~ (all_0_137_137 = e20)) | (all_0_128_128 = e21 & all_0_133_133 = e21 & ~ (all_0_131_131 = e22) & ~ (all_0_135_135 = e21)) | (all_0_131_131 = e22 & all_0_134_134 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_138_138 = e20)) | (all_0_131_131 = e21 & all_0_134_134 = e21 & ~ (all_0_135_135 = e21))
% 17.12/4.61 |
% 17.12/4.61 +-Applying beta-rule and splitting (620), into two cases.
% 17.12/4.61 |-Branch one:
% 17.12/4.61 | (621) (all_0_127_127 = e23 & all_0_129_129 = e23 & ~ (all_0_126_126 = e23) & ~ (all_0_133_133 = e21) & ~ (all_0_137_137 = e20)) | (all_0_128_128 = e21 & all_0_133_133 = e21 & ~ (all_0_131_131 = e22) & ~ (all_0_135_135 = e21)) | (all_0_131_131 = e22 & all_0_134_134 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_138_138 = e20))
% 17.12/4.61 |
% 17.12/4.61 +-Applying beta-rule and splitting (621), into two cases.
% 17.12/4.61 |-Branch one:
% 17.12/4.61 | (622) (all_0_127_127 = e23 & all_0_129_129 = e23 & ~ (all_0_126_126 = e23) & ~ (all_0_133_133 = e21) & ~ (all_0_137_137 = e20)) | (all_0_128_128 = e21 & all_0_133_133 = e21 & ~ (all_0_131_131 = e22) & ~ (all_0_135_135 = e21))
% 17.12/4.61 |
% 17.12/4.61 +-Applying beta-rule and splitting (622), into two cases.
% 17.12/4.61 |-Branch one:
% 17.12/4.61 | (623) all_0_127_127 = e23 & all_0_129_129 = e23 & ~ (all_0_126_126 = e23) & ~ (all_0_133_133 = e21) & ~ (all_0_137_137 = e20)
% 17.12/4.61 |
% 17.12/4.61 | Applying alpha-rule on (623) yields:
% 17.12/4.61 | (444) ~ (all_0_126_126 = e23)
% 17.12/4.61 | (446) all_0_129_129 = e23
% 17.12/4.61 | (393) ~ (all_0_137_137 = e20)
% 17.12/4.61 | (549) ~ (all_0_133_133 = e21)
% 17.12/4.61 | (422) all_0_127_127 = e23
% 17.12/4.61 |
% 17.12/4.61 | Equations (396) can reduce 393 to:
% 17.12/4.61 | (397) $false
% 17.12/4.61 |
% 17.12/4.61 |-The branch is then unsatisfiable
% 17.12/4.61 |-Branch two:
% 17.12/4.61 | (631) all_0_128_128 = e21 & all_0_133_133 = e21 & ~ (all_0_131_131 = e22) & ~ (all_0_135_135 = e21)
% 17.12/4.61 |
% 17.12/4.61 | Applying alpha-rule on (631) yields:
% 17.12/4.61 | (402) all_0_128_128 = e21
% 17.12/4.61 | (496) all_0_133_133 = e21
% 17.12/4.61 | (531) ~ (all_0_131_131 = e22)
% 17.12/4.61 | (407) ~ (all_0_135_135 = e21)
% 17.12/4.61 |
% 17.12/4.61 | Equations (496) can reduce 13 to:
% 17.12/4.61 | (460) ~ (all_0_134_134 = e21)
% 17.12/4.61 |
% 17.12/4.61 | Simplifying 460 yields:
% 17.12/4.61 | (461) ~ (all_0_134_134 = e21)
% 17.12/4.61 |
% 17.12/4.61 +-Applying beta-rule and splitting (316), into two cases.
% 17.12/4.61 |-Branch one:
% 17.12/4.61 | (462) all_0_134_134 = e21
% 17.12/4.61 |
% 17.12/4.61 | Equations (462) can reduce 461 to:
% 17.12/4.61 | (397) $false
% 17.12/4.61 |
% 17.12/4.61 |-The branch is then unsatisfiable
% 17.12/4.61 |-Branch two:
% 17.12/4.61 | (461) ~ (all_0_134_134 = e21)
% 17.12/4.61 | (465) all_0_134_134 = e23 | all_0_134_134 = e22 | all_0_134_134 = e20
% 17.12/4.61 |
% 17.12/4.61 +-Applying beta-rule and splitting (465), into two cases.
% 17.12/4.61 |-Branch one:
% 17.12/4.61 | (482) all_0_134_134 = e20
% 17.12/4.61 |
% 17.12/4.61 | Equations (482) can reduce 358 to:
% 17.12/4.61 | (391) ~ (all_0_127_127 = e20)
% 17.12/4.61 |
% 17.12/4.61 | Equations (482) can reduce 461 to:
% 17.12/4.61 | (394) ~ (e21 = e20)
% 17.12/4.61 |
% 17.12/4.61 | Simplifying 394 yields:
% 17.12/4.61 | (335) ~ (e21 = e20)
% 17.12/4.61 |
% 17.12/4.61 +-Applying beta-rule and splitting (159), into two cases.
% 17.12/4.61 |-Branch one:
% 17.12/4.61 | (414) all_0_126_126 = e20
% 17.12/4.61 |
% 17.12/4.61 | Equations (414) can reduce 697 to:
% 17.12/4.61 | (397) $false
% 17.12/4.61 |
% 17.12/4.61 |-The branch is then unsatisfiable
% 17.12/4.61 |-Branch two:
% 17.12/4.61 | (697) ~ (all_0_126_126 = e20)
% 17.12/4.61 | (698) all_0_127_127 = e20 | all_0_128_128 = e20
% 17.12/4.61 |
% 17.12/4.61 +-Applying beta-rule and splitting (698), into two cases.
% 17.12/4.61 |-Branch one:
% 17.12/4.61 | (419) all_0_127_127 = e20
% 17.12/4.61 |
% 17.12/4.61 | Equations (419) can reduce 391 to:
% 17.12/4.61 | (397) $false
% 17.12/4.61 |
% 17.12/4.61 |-The branch is then unsatisfiable
% 17.12/4.61 |-Branch two:
% 17.12/4.61 | (391) ~ (all_0_127_127 = e20)
% 17.12/4.61 | (449) all_0_128_128 = e20
% 17.12/4.61 |
% 17.12/4.61 | Combining equations (402,449) yields a new equation:
% 17.12/4.61 | (557) e21 = e20
% 17.12/4.61 |
% 17.12/4.61 | Simplifying 557 yields:
% 17.12/4.61 | (450) e21 = e20
% 17.12/4.61 |
% 17.12/4.61 | Equations (450) can reduce 335 to:
% 17.12/4.61 | (397) $false
% 17.12/4.61 |
% 17.12/4.61 |-The branch is then unsatisfiable
% 17.12/4.61 |-Branch two:
% 17.12/4.61 | (477) ~ (all_0_134_134 = e20)
% 17.12/4.61 | (485) all_0_134_134 = e23 | all_0_134_134 = e22
% 17.12/4.61 |
% 17.12/4.61 +-Applying beta-rule and splitting (485), into two cases.
% 17.12/4.61 |-Branch one:
% 17.12/4.61 | (486) all_0_134_134 = e22
% 17.12/4.61 |
% 17.12/4.61 | Equations (486) can reduce 534 to:
% 17.12/4.61 | (397) $false
% 17.12/4.61 |
% 17.12/4.61 |-The branch is then unsatisfiable
% 17.12/4.61 |-Branch two:
% 17.12/4.61 | (534) ~ (all_0_134_134 = e22)
% 17.12/4.61 | (672) all_0_134_134 = e23
% 17.12/4.61 |
% 17.12/4.61 | Equations (672) can reduce 424 to:
% 17.12/4.61 | (397) $false
% 17.12/4.61 |
% 17.12/4.61 |-The branch is then unsatisfiable
% 17.12/4.61 |-Branch two:
% 17.12/4.61 | (639) all_0_131_131 = e22 & all_0_134_134 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_138_138 = e20)
% 17.12/4.61 |
% 17.12/4.61 | Applying alpha-rule on (639) yields:
% 17.12/4.61 | (469) ~ (all_0_130_130 = e22)
% 17.12/4.61 | (480) all_0_131_131 = e22
% 17.12/4.61 | (642) ~ (all_0_138_138 = e20)
% 17.12/4.61 | (643) ~ (all_0_127_127 = e23)
% 17.12/4.61 | (486) all_0_134_134 = e22
% 17.12/4.61 |
% 17.12/4.61 | Equations (486) can reduce 534 to:
% 17.12/4.61 | (397) $false
% 17.12/4.61 |
% 17.12/4.61 |-The branch is then unsatisfiable
% 17.12/4.61 |-Branch two:
% 17.12/4.61 | (651) all_0_131_131 = e21 & all_0_134_134 = e21 & ~ (all_0_135_135 = e21)
% 17.12/4.61 |
% 17.12/4.61 | Applying alpha-rule on (651) yields:
% 17.12/4.61 | (570) all_0_131_131 = e21
% 17.12/4.61 | (462) all_0_134_134 = e21
% 17.12/4.61 | (407) ~ (all_0_135_135 = e21)
% 17.12/4.61 |
% 17.12/4.62 | Equations (570) can reduce 405 to:
% 17.12/4.62 | (397) $false
% 17.12/4.62 |
% 17.12/4.62 |-The branch is then unsatisfiable
% 17.12/4.62 |-Branch two:
% 17.12/4.62 | (658) all_0_132_132 = e20 & all_0_138_138 = e20
% 17.12/4.62 |
% 17.12/4.62 | Applying alpha-rule on (658) yields:
% 17.12/4.62 | (426) all_0_132_132 = e20
% 17.12/4.62 | (390) all_0_138_138 = e20
% 17.12/4.62 |
% 17.12/4.62 | Combining equations (561,390) yields a new equation:
% 17.12/4.62 | (546) e22 = e20
% 17.12/4.62 |
% 17.12/4.62 | Simplifying 546 yields:
% 17.12/4.62 | (547) e22 = e20
% 17.12/4.62 |
% 17.12/4.62 | Equations (547) can reduce 128 to:
% 17.12/4.62 | (397) $false
% 17.12/4.62 |
% 17.12/4.62 |-The branch is then unsatisfiable
% 17.12/4.62 |-Branch two:
% 17.12/4.62 | (705) ~ (all_0_128_128 = e21)
% 17.12/4.62 | (449) all_0_128_128 = e20
% 17.12/4.62 |
% 17.12/4.62 | Equations (449) can reduce 227 to:
% 17.12/4.62 | (430) ~ (e22 = e20)
% 17.12/4.62 |
% 17.12/4.62 | Simplifying 430 yields:
% 17.12/4.62 | (128) ~ (e22 = e20)
% 17.12/4.62 |
% 17.12/4.62 | Equations (449) can reduce 705 to:
% 17.12/4.62 | (394) ~ (e21 = e20)
% 17.12/4.62 |
% 17.12/4.62 | Simplifying 394 yields:
% 17.12/4.62 | (335) ~ (e21 = e20)
% 17.12/4.62 |
% 17.12/4.62 +-Applying beta-rule and splitting (296), into two cases.
% 17.12/4.62 |-Branch one:
% 17.12/4.62 | (620) (all_0_127_127 = e23 & all_0_129_129 = e23 & ~ (all_0_126_126 = e23) & ~ (all_0_133_133 = e21) & ~ (all_0_137_137 = e20)) | (all_0_128_128 = e21 & all_0_133_133 = e21 & ~ (all_0_131_131 = e22) & ~ (all_0_135_135 = e21)) | (all_0_131_131 = e22 & all_0_134_134 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_138_138 = e20)) | (all_0_131_131 = e21 & all_0_134_134 = e21 & ~ (all_0_135_135 = e21))
% 17.12/4.62 |
% 17.12/4.62 +-Applying beta-rule and splitting (620), into two cases.
% 17.12/4.62 |-Branch one:
% 17.12/4.62 | (621) (all_0_127_127 = e23 & all_0_129_129 = e23 & ~ (all_0_126_126 = e23) & ~ (all_0_133_133 = e21) & ~ (all_0_137_137 = e20)) | (all_0_128_128 = e21 & all_0_133_133 = e21 & ~ (all_0_131_131 = e22) & ~ (all_0_135_135 = e21)) | (all_0_131_131 = e22 & all_0_134_134 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_138_138 = e20))
% 17.12/4.62 |
% 17.12/4.62 +-Applying beta-rule and splitting (621), into two cases.
% 17.12/4.62 |-Branch one:
% 17.12/4.62 | (622) (all_0_127_127 = e23 & all_0_129_129 = e23 & ~ (all_0_126_126 = e23) & ~ (all_0_133_133 = e21) & ~ (all_0_137_137 = e20)) | (all_0_128_128 = e21 & all_0_133_133 = e21 & ~ (all_0_131_131 = e22) & ~ (all_0_135_135 = e21))
% 17.12/4.62 |
% 17.12/4.62 +-Applying beta-rule and splitting (622), into two cases.
% 17.12/4.62 |-Branch one:
% 17.12/4.62 | (623) all_0_127_127 = e23 & all_0_129_129 = e23 & ~ (all_0_126_126 = e23) & ~ (all_0_133_133 = e21) & ~ (all_0_137_137 = e20)
% 17.12/4.62 |
% 17.12/4.62 | Applying alpha-rule on (623) yields:
% 17.12/4.62 | (444) ~ (all_0_126_126 = e23)
% 17.12/4.62 | (446) all_0_129_129 = e23
% 17.12/4.62 | (393) ~ (all_0_137_137 = e20)
% 17.12/4.62 | (549) ~ (all_0_133_133 = e21)
% 17.12/4.62 | (422) all_0_127_127 = e23
% 17.12/4.62 |
% 17.12/4.62 | Equations (396) can reduce 393 to:
% 17.12/4.62 | (397) $false
% 17.12/4.62 |
% 17.12/4.62 |-The branch is then unsatisfiable
% 17.12/4.62 |-Branch two:
% 17.12/4.62 | (631) all_0_128_128 = e21 & all_0_133_133 = e21 & ~ (all_0_131_131 = e22) & ~ (all_0_135_135 = e21)
% 17.12/4.62 |
% 17.12/4.62 | Applying alpha-rule on (631) yields:
% 17.12/4.62 | (402) all_0_128_128 = e21
% 17.12/4.62 | (496) all_0_133_133 = e21
% 17.12/4.62 | (531) ~ (all_0_131_131 = e22)
% 17.12/4.62 | (407) ~ (all_0_135_135 = e21)
% 17.12/4.62 |
% 17.12/4.62 | Combining equations (449,402) yields a new equation:
% 17.12/4.62 | (450) e21 = e20
% 17.12/4.62 |
% 17.12/4.62 | Equations (450) can reduce 335 to:
% 17.12/4.62 | (397) $false
% 17.12/4.62 |
% 17.12/4.62 |-The branch is then unsatisfiable
% 17.12/4.62 |-Branch two:
% 17.12/4.62 | (639) all_0_131_131 = e22 & all_0_134_134 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_138_138 = e20)
% 17.12/4.62 |
% 17.12/4.62 | Applying alpha-rule on (639) yields:
% 17.12/4.62 | (469) ~ (all_0_130_130 = e22)
% 17.12/4.62 | (480) all_0_131_131 = e22
% 17.12/4.62 | (642) ~ (all_0_138_138 = e20)
% 17.12/4.62 | (643) ~ (all_0_127_127 = e23)
% 17.12/4.62 | (486) all_0_134_134 = e22
% 17.12/4.62 |
% 17.12/4.62 | Equations (486) can reduce 534 to:
% 17.12/4.62 | (397) $false
% 17.12/4.62 |
% 17.12/4.62 |-The branch is then unsatisfiable
% 17.12/4.62 |-Branch two:
% 17.12/4.62 | (651) all_0_131_131 = e21 & all_0_134_134 = e21 & ~ (all_0_135_135 = e21)
% 17.12/4.62 |
% 17.12/4.62 | Applying alpha-rule on (651) yields:
% 17.12/4.62 | (570) all_0_131_131 = e21
% 17.12/4.62 | (462) all_0_134_134 = e21
% 17.12/4.62 | (407) ~ (all_0_135_135 = e21)
% 17.12/4.62 |
% 17.12/4.62 | Equations (570) can reduce 46 to:
% 17.12/4.62 | (457) ~ (all_0_129_129 = e21)
% 17.12/4.62 |
% 17.12/4.62 | Equations (462) can reduce 132 to:
% 17.12/4.62 | (569) ~ (all_0_130_130 = e21)
% 17.12/4.62 |
% 17.12/4.62 | Equations (462) can reduce 13 to:
% 17.12/4.62 | (549) ~ (all_0_133_133 = e21)
% 17.12/4.62 |
% 17.12/4.62 | Equations (462) can reduce 424 to:
% 17.12/4.62 | (497) ~ (e23 = e21)
% 17.12/4.62 |
% 17.12/4.62 | Simplifying 497 yields:
% 17.12/4.62 | (290) ~ (e23 = e21)
% 17.12/4.62 |
% 17.12/4.62 +-Applying beta-rule and splitting (298), into two cases.
% 17.12/4.62 |-Branch one:
% 17.12/4.62 | (489) all_0_126_126 = e21
% 17.12/4.62 |
% 17.12/4.62 +-Applying beta-rule and splitting (240), into two cases.
% 17.12/4.62 |-Branch one:
% 17.12/4.62 | (441) all_0_126_126 = e23
% 17.12/4.62 |
% 17.12/4.62 | Combining equations (489,441) yields a new equation:
% 17.12/4.62 | (455) e23 = e21
% 17.12/4.62 |
% 17.12/4.62 | Equations (455) can reduce 290 to:
% 17.12/4.62 | (397) $false
% 17.12/4.62 |
% 17.12/4.62 |-The branch is then unsatisfiable
% 17.12/4.62 |-Branch two:
% 17.12/4.62 | (444) ~ (all_0_126_126 = e23)
% 17.12/4.62 | (422) all_0_127_127 = e23
% 17.12/4.62 |
% 17.12/4.62 | Equations (422) can reduce 277 to:
% 17.12/4.62 | (2790) ~ (all_0_130_130 = e23)
% 17.12/4.62 |
% 17.12/4.62 | Simplifying 2790 yields:
% 17.12/4.62 | (938) ~ (all_0_130_130 = e23)
% 17.12/4.62 |
% 17.12/4.62 +-Applying beta-rule and splitting (365), into two cases.
% 17.12/4.62 |-Branch one:
% 17.12/4.62 | (459) all_0_130_130 = e21
% 17.12/4.62 |
% 17.12/4.62 | Equations (459) can reduce 569 to:
% 17.12/4.62 | (397) $false
% 17.12/4.62 |
% 17.12/4.62 |-The branch is then unsatisfiable
% 17.12/4.62 |-Branch two:
% 17.12/4.62 | (569) ~ (all_0_130_130 = e21)
% 17.12/4.62 | (1112) all_0_130_130 = e23 | all_0_130_130 = e22 | all_0_130_130 = e20
% 17.12/4.62 |
% 17.12/4.62 +-Applying beta-rule and splitting (1112), into two cases.
% 17.12/4.62 |-Branch one:
% 17.12/4.62 | (537) all_0_130_130 = e20
% 17.12/4.62 |
% 17.12/4.62 | Equations (537) can reduce 392 to:
% 17.12/4.62 | (397) $false
% 17.12/4.62 |
% 17.12/4.62 |-The branch is then unsatisfiable
% 17.12/4.62 |-Branch two:
% 17.12/4.62 | (392) ~ (all_0_130_130 = e20)
% 17.12/4.62 | (1116) all_0_130_130 = e23 | all_0_130_130 = e22
% 17.12/4.62 |
% 17.12/4.62 +-Applying beta-rule and splitting (1116), into two cases.
% 17.12/4.62 |-Branch one:
% 17.12/4.62 | (466) all_0_130_130 = e22
% 17.12/4.62 |
% 17.12/4.62 | Equations (466) can reduce 469 to:
% 17.12/4.62 | (397) $false
% 17.12/4.62 |
% 17.12/4.62 |-The branch is then unsatisfiable
% 17.12/4.62 |-Branch two:
% 17.12/4.62 | (469) ~ (all_0_130_130 = e22)
% 17.12/4.62 | (519) all_0_130_130 = e23
% 17.12/4.62 |
% 17.12/4.62 | Equations (519) can reduce 938 to:
% 17.12/4.62 | (397) $false
% 17.12/4.62 |
% 17.12/4.62 |-The branch is then unsatisfiable
% 17.12/4.62 |-Branch two:
% 17.12/4.62 | (492) ~ (all_0_126_126 = e21)
% 17.12/4.62 | (953) all_0_127_127 = e21 | all_0_128_128 = e21
% 17.12/4.62 |
% 17.12/4.62 +-Applying beta-rule and splitting (73), into two cases.
% 17.12/4.62 |-Branch one:
% 17.12/4.62 | (489) all_0_126_126 = e21
% 17.12/4.62 |
% 17.12/4.62 | Equations (489) can reduce 492 to:
% 17.12/4.62 | (397) $false
% 17.12/4.62 |
% 17.12/4.62 |-The branch is then unsatisfiable
% 17.12/4.62 |-Branch two:
% 17.12/4.62 | (492) ~ (all_0_126_126 = e21)
% 17.12/4.62 | (493) all_0_129_129 = e21 | all_0_133_133 = e21
% 17.12/4.62 |
% 17.12/4.62 +-Applying beta-rule and splitting (493), into two cases.
% 17.12/4.62 |-Branch one:
% 17.12/4.62 | (454) all_0_129_129 = e21
% 17.12/4.62 |
% 17.12/4.62 | Equations (454) can reduce 457 to:
% 17.12/4.62 | (397) $false
% 17.12/4.62 |
% 17.12/4.62 |-The branch is then unsatisfiable
% 17.12/4.62 |-Branch two:
% 17.12/4.62 | (457) ~ (all_0_129_129 = e21)
% 17.12/4.62 | (496) all_0_133_133 = e21
% 17.12/4.62 |
% 17.12/4.62 | Equations (496) can reduce 549 to:
% 17.12/4.62 | (397) $false
% 17.12/4.62 |
% 17.12/4.62 |-The branch is then unsatisfiable
% 17.12/4.62 |-Branch two:
% 17.12/4.62 | (658) all_0_132_132 = e20 & all_0_138_138 = e20
% 17.12/4.62 |
% 17.12/4.62 | Applying alpha-rule on (658) yields:
% 17.12/4.62 | (426) all_0_132_132 = e20
% 17.12/4.62 | (390) all_0_138_138 = e20
% 17.12/4.62 |
% 17.12/4.62 | Combining equations (561,390) yields a new equation:
% 17.12/4.62 | (546) e22 = e20
% 17.12/4.62 |
% 17.12/4.62 | Simplifying 546 yields:
% 17.12/4.62 | (547) e22 = e20
% 17.12/4.62 |
% 17.12/4.62 | Equations (547) can reduce 128 to:
% 17.12/4.62 | (397) $false
% 17.12/4.62 |
% 17.12/4.62 |-The branch is then unsatisfiable
% 17.12/4.62 |-Branch two:
% 17.12/4.62 | (575) ~ (all_0_132_132 = e20)
% 17.12/4.62 | (582) all_0_132_132 = e23
% 17.12/4.62 |
% 17.12/4.62 | Equations (582) can reduce 575 to:
% 17.12/4.62 | (282) ~ (e23 = e20)
% 17.12/4.62 |
% 17.12/4.62 +-Applying beta-rule and splitting (373), into two cases.
% 17.12/4.62 |-Branch one:
% 17.12/4.62 | (426) all_0_132_132 = e20
% 17.12/4.62 |
% 17.12/4.62 | Combining equations (426,582) yields a new equation:
% 17.12/4.62 | (442) e23 = e20
% 17.12/4.62 |
% 17.12/4.62 | Equations (442) can reduce 282 to:
% 17.12/4.62 | (397) $false
% 17.12/4.62 |
% 17.12/4.62 |-The branch is then unsatisfiable
% 17.12/4.62 |-Branch two:
% 17.12/4.62 | (575) ~ (all_0_132_132 = e20)
% 17.12/4.62 | (434) all_0_136_136 = e20
% 17.12/4.62 |
% 17.12/4.62 | Equations (434) can reduce 217 to:
% 17.12/4.62 | (476) ~ (all_0_133_133 = e20)
% 17.12/4.62 |
% 17.12/4.62 | Equations (434) can reduce 15 to:
% 17.12/4.62 | (579) ~ (all_0_135_135 = e20)
% 17.12/4.62 |
% 17.12/4.62 | From (434) and (107) follows:
% 17.12/4.62 | (2832) op2(e21, e20) = e20
% 17.12/4.62 |
% 17.12/4.62 | From (434) and (284) follows:
% 17.12/4.62 | (2833) op2(e20, e20) = all_0_110_110
% 17.12/4.62 |
% 17.12/4.62 | Instantiating formula (94) with e20, e20, all_0_110_110, e21 and discharging atoms op2(e20, e20) = all_0_110_110, op2(e20, e20) = e21, yields:
% 17.12/4.62 | (2834) all_0_110_110 = e21
% 17.12/4.62 |
% 17.12/4.62 +-Applying beta-rule and splitting (18), into two cases.
% 17.12/4.62 |-Branch one:
% 17.12/4.62 | (402) all_0_128_128 = e21
% 17.12/4.62 |
% 17.12/4.62 | Equations (402) can reduce 222 to:
% 17.12/4.62 | (492) ~ (all_0_126_126 = e21)
% 17.12/4.62 |
% 17.12/4.62 | Equations (402) can reduce 249 to:
% 17.12/4.62 | (403) ~ (all_0_127_127 = e21)
% 17.12/4.62 |
% 17.12/4.62 | Equations (402) can reduce 38 to:
% 17.12/4.62 | (406) ~ (all_0_135_135 = e21)
% 17.12/4.62 |
% 17.12/4.62 | Simplifying 406 yields:
% 17.12/4.62 | (407) ~ (all_0_135_135 = e21)
% 17.12/4.62 |
% 17.12/4.62 | From (402) and (109) follows:
% 17.12/4.62 | (2840) op2(e23, e21) = e21
% 17.12/4.62 |
% 17.12/4.62 | From (402) and (37) follows:
% 17.12/4.62 | (2841) op2(e21, e21) = all_0_102_102
% 17.12/4.62 |
% 17.12/4.62 +-Applying beta-rule and splitting (45), into two cases.
% 17.12/4.62 |-Branch one:
% 17.12/4.62 | (489) all_0_126_126 = e21
% 17.12/4.62 |
% 17.12/4.62 | Equations (489) can reduce 492 to:
% 17.12/4.62 | (397) $false
% 17.12/4.62 |
% 17.12/4.62 |-The branch is then unsatisfiable
% 17.12/4.62 |-Branch two:
% 17.12/4.62 | (492) ~ (all_0_126_126 = e21)
% 17.12/4.62 | (988) all_0_126_126 = e23 | all_0_126_126 = e20
% 17.12/4.62 |
% 17.12/4.62 +-Applying beta-rule and splitting (988), into two cases.
% 17.12/4.62 |-Branch one:
% 17.12/4.62 | (414) all_0_126_126 = e20
% 17.12/4.62 |
% 17.12/4.62 | Equations (414) can reduce 697 to:
% 17.12/4.62 | (397) $false
% 17.12/4.62 |
% 17.12/4.62 |-The branch is then unsatisfiable
% 17.12/4.62 |-Branch two:
% 17.12/4.62 | (697) ~ (all_0_126_126 = e20)
% 17.12/4.62 | (441) all_0_126_126 = e23
% 17.12/4.62 |
% 17.12/4.62 | Equations (441) can reduce 338 to:
% 17.12/4.62 | (780) ~ (all_0_127_127 = e23)
% 17.12/4.62 |
% 17.12/4.62 | Simplifying 780 yields:
% 17.12/4.62 | (643) ~ (all_0_127_127 = e23)
% 17.12/4.62 |
% 17.12/4.62 | Equations (441) can reduce 347 to:
% 17.12/4.62 | (2852) ~ (all_0_129_129 = e23)
% 17.12/4.62 |
% 17.12/4.62 | Simplifying 2852 yields:
% 17.12/4.62 | (572) ~ (all_0_129_129 = e23)
% 17.12/4.62 |
% 17.12/4.62 | Equations (441) can reduce 492 to:
% 17.12/4.62 | (290) ~ (e23 = e21)
% 17.12/4.62 |
% 17.12/4.62 +-Applying beta-rule and splitting (264), into two cases.
% 17.12/4.62 |-Branch one:
% 17.12/4.62 | (556) all_0_135_135 = e21
% 17.12/4.62 |
% 17.12/4.62 | Equations (556) can reduce 407 to:
% 17.12/4.62 | (397) $false
% 17.12/4.62 |
% 17.12/4.62 |-The branch is then unsatisfiable
% 17.12/4.62 |-Branch two:
% 17.12/4.62 | (407) ~ (all_0_135_135 = e21)
% 17.12/4.62 | (605) all_0_135_135 = e22 | all_0_135_135 = e20
% 17.12/4.62 |
% 17.12/4.62 +-Applying beta-rule and splitting (605), into two cases.
% 17.12/4.62 |-Branch one:
% 17.12/4.62 | (474) all_0_135_135 = e20
% 17.12/4.62 |
% 17.12/4.62 | Equations (474) can reduce 579 to:
% 17.12/4.62 | (397) $false
% 17.12/4.62 |
% 17.12/4.62 |-The branch is then unsatisfiable
% 17.12/4.62 |-Branch two:
% 17.12/4.62 | (579) ~ (all_0_135_135 = e20)
% 17.12/4.62 | (542) all_0_135_135 = e22
% 17.12/4.62 |
% 17.12/4.62 | Equations (542) can reduce 59 to:
% 17.12/4.62 | (531) ~ (all_0_131_131 = e22)
% 17.12/4.62 |
% 17.12/4.62 | Equations (542) can reduce 101 to:
% 17.12/4.62 | (534) ~ (all_0_134_134 = e22)
% 17.12/4.62 |
% 17.12/4.62 | Equations (542) can reduce 579 to:
% 17.12/4.62 | (128) ~ (e22 = e20)
% 17.12/4.62 |
% 17.12/4.62 | From (542) and (209) follows:
% 17.12/4.62 | (2866) op2(e21, e21) = e22
% 17.12/4.62 |
% 17.12/4.62 +-Applying beta-rule and splitting (289), into two cases.
% 17.12/4.62 |-Branch one:
% 17.12/4.62 | (496) all_0_133_133 = e21
% 17.12/4.62 |
% 17.12/4.62 | Equations (496) can reduce 13 to:
% 17.12/4.62 | (460) ~ (all_0_134_134 = e21)
% 17.12/4.62 |
% 17.12/4.62 | Simplifying 460 yields:
% 17.12/4.62 | (461) ~ (all_0_134_134 = e21)
% 17.12/4.62 |
% 17.12/4.62 | From (496) and (218) follows:
% 17.12/4.62 | (2870) op2(e23, e21) = all_0_107_107
% 17.12/4.62 |
% 17.12/4.62 +-Applying beta-rule and splitting (276), into two cases.
% 17.12/4.62 |-Branch one:
% 17.12/4.62 | (410) all_0_127_127 = e21
% 17.12/4.62 |
% 17.12/4.62 | Equations (410) can reduce 403 to:
% 17.12/4.62 | (397) $false
% 17.12/4.62 |
% 17.12/4.62 |-The branch is then unsatisfiable
% 17.12/4.62 |-Branch two:
% 17.12/4.62 | (403) ~ (all_0_127_127 = e21)
% 17.12/4.62 | (2874) all_0_130_130 = e21 | all_0_134_134 = e21
% 17.12/4.62 |
% 17.12/4.62 +-Applying beta-rule and splitting (2874), into two cases.
% 17.12/4.62 |-Branch one:
% 17.12/4.62 | (459) all_0_130_130 = e21
% 17.12/4.62 |
% 17.12/4.62 | Combining equations (459,2669) yields a new equation:
% 17.12/4.62 | (2876) all_0_112_112 = e21
% 17.12/4.62 |
% 17.12/4.62 | Equations (459) can reduce 277 to:
% 17.12/4.62 | (403) ~ (all_0_127_127 = e21)
% 17.12/4.62 |
% 17.12/4.62 | Equations (459) can reduce 44 to:
% 17.12/4.62 | (457) ~ (all_0_129_129 = e21)
% 17.12/4.62 |
% 17.12/4.62 | Equations (459) can reduce 354 to:
% 17.12/4.62 | (404) ~ (all_0_131_131 = e21)
% 17.12/4.62 |
% 17.12/4.62 | Simplifying 404 yields:
% 17.12/4.62 | (405) ~ (all_0_131_131 = e21)
% 17.12/4.62 |
% 17.12/4.62 | Equations (459) can reduce 132 to:
% 17.12/4.62 | (460) ~ (all_0_134_134 = e21)
% 17.12/4.62 |
% 17.12/4.62 | Simplifying 460 yields:
% 17.12/4.62 | (461) ~ (all_0_134_134 = e21)
% 17.12/4.62 |
% 17.12/4.62 | Equations (459) can reduce 469 to:
% 17.12/4.62 | (408) ~ (e22 = e21)
% 17.12/4.62 |
% 17.12/4.62 | Simplifying 408 yields:
% 17.12/4.62 | (259) ~ (e22 = e21)
% 17.12/4.62 |
% 17.12/4.62 | From (459)(459) and (154) follows:
% 17.12/4.62 | (2885) op2(e21, e21) = all_0_47_47
% 17.12/4.62 |
% 17.12/4.62 +-Applying beta-rule and splitting (183), into two cases.
% 17.12/4.62 |-Branch one:
% 17.12/4.62 | (570) all_0_131_131 = e21
% 17.12/4.62 |
% 17.12/4.62 | Equations (570) can reduce 405 to:
% 17.12/4.62 | (397) $false
% 17.12/4.62 |
% 17.12/4.62 |-The branch is then unsatisfiable
% 17.12/4.62 |-Branch two:
% 17.12/4.62 | (405) ~ (all_0_131_131 = e21)
% 17.12/4.62 | (927) all_0_131_131 = e22 | all_0_131_131 = e20
% 17.12/4.62 |
% 17.12/4.62 +-Applying beta-rule and splitting (927), into two cases.
% 17.12/4.62 |-Branch one:
% 17.12/4.62 | (471) all_0_131_131 = e20
% 17.12/4.62 |
% 17.12/4.62 | Equations (471) can reduce 46 to:
% 17.12/4.62 | (418) ~ (all_0_129_129 = e20)
% 17.12/4.62 |
% 17.12/4.62 | From (471) and (173) follows:
% 17.12/4.62 | (2892) op2(e21, e20) = all_0_105_105
% 17.12/4.62 |
% 17.12/4.62 +-Applying beta-rule and splitting (193), into two cases.
% 17.12/4.62 |-Branch one:
% 17.12/4.62 | (410) all_0_127_127 = e21
% 17.12/4.62 |
% 17.12/4.62 | Equations (410) can reduce 403 to:
% 17.12/4.62 | (397) $false
% 17.12/4.62 |
% 17.12/4.62 |-The branch is then unsatisfiable
% 17.12/4.62 |-Branch two:
% 17.12/4.62 | (403) ~ (all_0_127_127 = e21)
% 17.12/4.62 | (413) all_0_127_127 = e23 | all_0_127_127 = e20
% 17.12/4.62 |
% 17.12/4.62 +-Applying beta-rule and splitting (316), into two cases.
% 17.12/4.62 |-Branch one:
% 17.12/4.62 | (462) all_0_134_134 = e21
% 17.12/4.62 |
% 17.12/4.62 | Equations (462) can reduce 461 to:
% 17.12/4.62 | (397) $false
% 17.12/4.62 |
% 17.12/4.62 |-The branch is then unsatisfiable
% 17.12/4.62 |-Branch two:
% 17.12/4.62 | (461) ~ (all_0_134_134 = e21)
% 17.12/4.62 | (465) all_0_134_134 = e23 | all_0_134_134 = e22 | all_0_134_134 = e20
% 17.12/4.62 |
% 17.12/4.62 +-Applying beta-rule and splitting (413), into two cases.
% 17.12/4.62 |-Branch one:
% 17.12/4.62 | (419) all_0_127_127 = e20
% 17.12/4.62 |
% 17.12/4.63 | Equations (419) can reduce 358 to:
% 17.12/4.63 | (720) ~ (all_0_134_134 = e20)
% 17.12/4.63 |
% 17.12/4.63 | Simplifying 720 yields:
% 17.12/4.63 | (477) ~ (all_0_134_134 = e20)
% 17.12/4.63 |
% 17.12/4.63 | Equations (419) can reduce 178 to:
% 17.12/4.63 | (430) ~ (e22 = e20)
% 17.12/4.63 |
% 17.12/4.63 | Simplifying 430 yields:
% 17.12/4.63 | (128) ~ (e22 = e20)
% 17.12/4.63 |
% 17.12/4.63 | Equations (419) can reduce 403 to:
% 17.12/4.63 | (394) ~ (e21 = e20)
% 17.12/4.63 |
% 17.12/4.63 | Simplifying 394 yields:
% 17.12/4.63 | (335) ~ (e21 = e20)
% 17.12/4.63 |
% 17.12/4.63 +-Applying beta-rule and splitting (465), into two cases.
% 17.12/4.63 |-Branch one:
% 17.12/4.63 | (482) all_0_134_134 = e20
% 17.12/4.63 |
% 17.12/4.63 | Equations (482) can reduce 477 to:
% 17.12/4.63 | (397) $false
% 17.12/4.63 |
% 17.12/4.63 |-The branch is then unsatisfiable
% 17.12/4.63 |-Branch two:
% 17.12/4.63 | (477) ~ (all_0_134_134 = e20)
% 17.12/4.63 | (485) all_0_134_134 = e23 | all_0_134_134 = e22
% 17.12/4.63 |
% 17.12/4.63 +-Applying beta-rule and splitting (93), into two cases.
% 17.12/4.63 |-Branch one:
% 17.12/4.63 | (804) all_0_129_129 = e22
% 17.12/4.63 |
% 17.12/4.63 | Equations (804) can reduce 457 to:
% 17.12/4.63 | (259) ~ (e22 = e21)
% 17.12/4.63 |
% 17.12/4.63 | Equations (804) can reduce 418 to:
% 17.12/4.63 | (128) ~ (e22 = e20)
% 17.12/4.63 |
% 17.12/4.63 +-Applying beta-rule and splitting (485), into two cases.
% 17.12/4.63 |-Branch one:
% 17.12/4.63 | (486) all_0_134_134 = e22
% 17.12/4.63 |
% 17.12/4.63 | Equations (486) can reduce 534 to:
% 17.12/4.63 | (397) $false
% 17.12/4.63 |
% 17.12/4.63 |-The branch is then unsatisfiable
% 17.12/4.63 |-Branch two:
% 17.12/4.63 | (534) ~ (all_0_134_134 = e22)
% 17.12/4.63 | (672) all_0_134_134 = e23
% 17.12/4.63 |
% 17.12/4.63 | Equations (672) can reduce 534 to:
% 17.12/4.63 | (25) ~ (e23 = e22)
% 17.12/4.63 |
% 17.12/4.63 | Equations (672) can reduce 461 to:
% 17.12/4.63 | (290) ~ (e23 = e21)
% 17.12/4.63 |
% 17.12/4.63 | Equations (672) can reduce 477 to:
% 17.12/4.63 | (282) ~ (e23 = e20)
% 17.12/4.63 |
% 17.12/4.63 | Instantiating formula (94) with e23, e21, e21, all_0_107_107 and discharging atoms op2(e23, e21) = all_0_107_107, op2(e23, e21) = e21, yields:
% 17.44/4.63 | (2922) all_0_107_107 = e21
% 17.44/4.63 |
% 17.44/4.63 | Instantiating formula (94) with e21, e21, all_0_102_102, all_0_47_47 and discharging atoms op2(e21, e21) = all_0_47_47, op2(e21, e21) = all_0_102_102, yields:
% 17.44/4.63 | (2923) all_0_47_47 = all_0_102_102
% 17.44/4.63 |
% 17.44/4.63 | Instantiating formula (94) with e21, e21, e22, all_0_47_47 and discharging atoms op2(e21, e21) = all_0_47_47, op2(e21, e21) = e22, yields:
% 17.44/4.63 | (2924) all_0_47_47 = e22
% 17.44/4.63 |
% 17.44/4.63 | Instantiating formula (94) with e21, e20, all_0_105_105, e20 and discharging atoms op2(e21, e20) = all_0_105_105, op2(e21, e20) = e20, yields:
% 17.44/4.63 | (2925) all_0_105_105 = e20
% 17.44/4.63 |
% 17.44/4.63 | Combining equations (2924,2923) yields a new equation:
% 17.44/4.63 | (2926) all_0_102_102 = e22
% 17.44/4.63 |
% 17.44/4.63 +-Applying beta-rule and splitting (54), into two cases.
% 17.44/4.63 |-Branch one:
% 17.44/4.63 | (2927) (all_0_101_101 = e22 & all_0_127_127 = all_0_129_129) | (all_0_102_102 = e21 & all_0_128_128 = all_0_133_133) | (all_0_103_103 = e23 & all_0_127_127 = all_0_129_129) | (all_0_105_105 = e21 & all_0_131_131 = all_0_134_134) | (all_0_106_106 = e20 & all_0_132_132 = all_0_138_138) | (all_0_107_107 = e23 & all_0_128_128 = all_0_133_133) | (all_0_108_108 = e22 & all_0_131_131 = all_0_134_134) | (all_0_110_110 = e20 & all_0_136_136 = e23) | (all_0_111_111 = e23 & all_0_137_137 = e22) | (all_0_112_112 = e22 & all_0_132_132 = all_0_138_138) | (all_0_133_133 = e21 & all_0_136_136 = e23)
% 17.44/4.63 |
% 17.44/4.63 +-Applying beta-rule and splitting (2927), into two cases.
% 17.44/4.63 |-Branch one:
% 17.44/4.63 | (2928) (all_0_101_101 = e22 & all_0_127_127 = all_0_129_129) | (all_0_102_102 = e21 & all_0_128_128 = all_0_133_133) | (all_0_103_103 = e23 & all_0_127_127 = all_0_129_129) | (all_0_105_105 = e21 & all_0_131_131 = all_0_134_134) | (all_0_106_106 = e20 & all_0_132_132 = all_0_138_138) | (all_0_107_107 = e23 & all_0_128_128 = all_0_133_133) | (all_0_108_108 = e22 & all_0_131_131 = all_0_134_134) | (all_0_110_110 = e20 & all_0_136_136 = e23) | (all_0_111_111 = e23 & all_0_137_137 = e22) | (all_0_112_112 = e22 & all_0_132_132 = all_0_138_138)
% 17.44/4.63 |
% 17.44/4.63 +-Applying beta-rule and splitting (2928), into two cases.
% 17.44/4.63 |-Branch one:
% 17.44/4.63 | (2929) (all_0_101_101 = e22 & all_0_127_127 = all_0_129_129) | (all_0_102_102 = e21 & all_0_128_128 = all_0_133_133) | (all_0_103_103 = e23 & all_0_127_127 = all_0_129_129) | (all_0_105_105 = e21 & all_0_131_131 = all_0_134_134) | (all_0_106_106 = e20 & all_0_132_132 = all_0_138_138) | (all_0_107_107 = e23 & all_0_128_128 = all_0_133_133) | (all_0_108_108 = e22 & all_0_131_131 = all_0_134_134) | (all_0_110_110 = e20 & all_0_136_136 = e23) | (all_0_111_111 = e23 & all_0_137_137 = e22)
% 17.44/4.63 |
% 17.44/4.63 +-Applying beta-rule and splitting (2929), into two cases.
% 17.44/4.63 |-Branch one:
% 17.44/4.63 | (2930) (all_0_101_101 = e22 & all_0_127_127 = all_0_129_129) | (all_0_102_102 = e21 & all_0_128_128 = all_0_133_133) | (all_0_103_103 = e23 & all_0_127_127 = all_0_129_129) | (all_0_105_105 = e21 & all_0_131_131 = all_0_134_134) | (all_0_106_106 = e20 & all_0_132_132 = all_0_138_138) | (all_0_107_107 = e23 & all_0_128_128 = all_0_133_133) | (all_0_108_108 = e22 & all_0_131_131 = all_0_134_134) | (all_0_110_110 = e20 & all_0_136_136 = e23)
% 17.44/4.63 |
% 17.44/4.63 +-Applying beta-rule and splitting (2930), into two cases.
% 17.44/4.63 |-Branch one:
% 17.44/4.63 | (2931) (all_0_101_101 = e22 & all_0_127_127 = all_0_129_129) | (all_0_102_102 = e21 & all_0_128_128 = all_0_133_133) | (all_0_103_103 = e23 & all_0_127_127 = all_0_129_129) | (all_0_105_105 = e21 & all_0_131_131 = all_0_134_134) | (all_0_106_106 = e20 & all_0_132_132 = all_0_138_138) | (all_0_107_107 = e23 & all_0_128_128 = all_0_133_133) | (all_0_108_108 = e22 & all_0_131_131 = all_0_134_134)
% 17.44/4.63 |
% 17.44/4.63 +-Applying beta-rule and splitting (2931), into two cases.
% 17.44/4.63 |-Branch one:
% 17.44/4.63 | (2932) (all_0_101_101 = e22 & all_0_127_127 = all_0_129_129) | (all_0_102_102 = e21 & all_0_128_128 = all_0_133_133) | (all_0_103_103 = e23 & all_0_127_127 = all_0_129_129) | (all_0_105_105 = e21 & all_0_131_131 = all_0_134_134) | (all_0_106_106 = e20 & all_0_132_132 = all_0_138_138) | (all_0_107_107 = e23 & all_0_128_128 = all_0_133_133)
% 17.44/4.63 |
% 17.44/4.63 +-Applying beta-rule and splitting (2932), into two cases.
% 17.44/4.63 |-Branch one:
% 17.44/4.63 | (2933) (all_0_101_101 = e22 & all_0_127_127 = all_0_129_129) | (all_0_102_102 = e21 & all_0_128_128 = all_0_133_133) | (all_0_103_103 = e23 & all_0_127_127 = all_0_129_129) | (all_0_105_105 = e21 & all_0_131_131 = all_0_134_134) | (all_0_106_106 = e20 & all_0_132_132 = all_0_138_138)
% 17.44/4.63 |
% 17.44/4.63 +-Applying beta-rule and splitting (2933), into two cases.
% 17.44/4.63 |-Branch one:
% 17.44/4.63 | (2934) (all_0_101_101 = e22 & all_0_127_127 = all_0_129_129) | (all_0_102_102 = e21 & all_0_128_128 = all_0_133_133) | (all_0_103_103 = e23 & all_0_127_127 = all_0_129_129) | (all_0_105_105 = e21 & all_0_131_131 = all_0_134_134)
% 17.44/4.63 |
% 17.44/4.63 +-Applying beta-rule and splitting (2934), into two cases.
% 17.44/4.63 |-Branch one:
% 17.44/4.63 | (2935) (all_0_101_101 = e22 & all_0_127_127 = all_0_129_129) | (all_0_102_102 = e21 & all_0_128_128 = all_0_133_133) | (all_0_103_103 = e23 & all_0_127_127 = all_0_129_129)
% 17.44/4.63 |
% 17.44/4.63 +-Applying beta-rule and splitting (2935), into two cases.
% 17.44/4.63 |-Branch one:
% 17.44/4.63 | (2936) (all_0_101_101 = e22 & all_0_127_127 = all_0_129_129) | (all_0_102_102 = e21 & all_0_128_128 = all_0_133_133)
% 17.44/4.63 |
% 17.44/4.63 +-Applying beta-rule and splitting (2936), into two cases.
% 17.44/4.63 |-Branch one:
% 17.44/4.63 | (2937) all_0_101_101 = e22 & all_0_127_127 = all_0_129_129
% 17.44/4.63 |
% 17.44/4.63 | Applying alpha-rule on (2937) yields:
% 17.44/4.63 | (2938) all_0_101_101 = e22
% 17.44/4.63 | (2939) all_0_127_127 = all_0_129_129
% 17.44/4.63 |
% 17.44/4.63 | Combining equations (419,2939) yields a new equation:
% 17.44/4.63 | (800) all_0_129_129 = e20
% 17.44/4.63 |
% 17.44/4.63 | Combining equations (800,804) yields a new equation:
% 17.44/4.63 | (547) e22 = e20
% 17.44/4.63 |
% 17.44/4.63 | Equations (547) can reduce 128 to:
% 17.44/4.63 | (397) $false
% 17.44/4.63 |
% 17.44/4.63 |-The branch is then unsatisfiable
% 17.44/4.63 |-Branch two:
% 17.44/4.63 | (2943) all_0_102_102 = e21 & all_0_128_128 = all_0_133_133
% 17.44/4.63 |
% 17.44/4.63 | Applying alpha-rule on (2943) yields:
% 17.44/4.63 | (2944) all_0_102_102 = e21
% 17.44/4.63 | (2945) all_0_128_128 = all_0_133_133
% 17.44/4.63 |
% 17.44/4.63 | Combining equations (2944,2926) yields a new equation:
% 17.44/4.63 | (467) e22 = e21
% 17.44/4.63 |
% 17.44/4.63 | Equations (467) can reduce 259 to:
% 17.44/4.63 | (397) $false
% 17.44/4.63 |
% 17.44/4.63 |-The branch is then unsatisfiable
% 17.44/4.63 |-Branch two:
% 17.44/4.63 | (2948) all_0_103_103 = e23 & all_0_127_127 = all_0_129_129
% 17.44/4.63 |
% 17.44/4.63 | Applying alpha-rule on (2948) yields:
% 17.44/4.63 | (2949) all_0_103_103 = e23
% 17.44/4.63 | (2939) all_0_127_127 = all_0_129_129
% 17.44/4.63 |
% 17.44/4.63 | Combining equations (419,2939) yields a new equation:
% 17.44/4.63 | (800) all_0_129_129 = e20
% 17.44/4.63 |
% 17.44/4.63 | Combining equations (800,804) yields a new equation:
% 17.44/4.63 | (547) e22 = e20
% 17.44/4.63 |
% 17.44/4.63 | Equations (547) can reduce 128 to:
% 17.44/4.63 | (397) $false
% 17.44/4.63 |
% 17.44/4.63 |-The branch is then unsatisfiable
% 17.44/4.63 |-Branch two:
% 17.44/4.63 | (2954) all_0_105_105 = e21 & all_0_131_131 = all_0_134_134
% 17.44/4.63 |
% 17.44/4.63 | Applying alpha-rule on (2954) yields:
% 17.44/4.63 | (2955) all_0_105_105 = e21
% 17.44/4.63 | (2956) all_0_131_131 = all_0_134_134
% 17.44/4.63 |
% 17.44/4.63 | Combining equations (2955,2925) yields a new equation:
% 17.44/4.63 | (557) e21 = e20
% 17.44/4.63 |
% 17.44/4.63 | Simplifying 557 yields:
% 17.44/4.63 | (450) e21 = e20
% 17.44/4.63 |
% 17.44/4.63 | Equations (450) can reduce 335 to:
% 17.44/4.63 | (397) $false
% 17.44/4.63 |
% 17.44/4.63 |-The branch is then unsatisfiable
% 17.44/4.63 |-Branch two:
% 17.44/4.63 | (2960) all_0_106_106 = e20 & all_0_132_132 = all_0_138_138
% 17.44/4.63 |
% 17.44/4.63 | Applying alpha-rule on (2960) yields:
% 17.44/4.63 | (2961) all_0_106_106 = e20
% 17.44/4.63 | (2962) all_0_132_132 = all_0_138_138
% 17.44/4.63 |
% 17.44/4.63 | Combining equations (2962,582) yields a new equation:
% 17.44/4.63 | (2963) all_0_138_138 = e23
% 17.44/4.63 |
% 17.44/4.63 | Simplifying 2963 yields:
% 17.44/4.63 | (2964) all_0_138_138 = e23
% 17.44/4.63 |
% 17.44/4.63 | Combining equations (2964,561) yields a new equation:
% 17.44/4.63 | (2965) e23 = e22
% 17.44/4.63 |
% 17.44/4.63 | Simplifying 2965 yields:
% 17.44/4.63 | (900) e23 = e22
% 17.44/4.63 |
% 17.44/4.63 | Equations (900) can reduce 25 to:
% 17.44/4.63 | (397) $false
% 17.44/4.63 |
% 17.44/4.63 |-The branch is then unsatisfiable
% 17.44/4.63 |-Branch two:
% 17.44/4.63 | (2968) all_0_107_107 = e23 & all_0_128_128 = all_0_133_133
% 17.44/4.63 |
% 17.44/4.63 | Applying alpha-rule on (2968) yields:
% 17.44/4.63 | (2969) all_0_107_107 = e23
% 17.44/4.63 | (2945) all_0_128_128 = all_0_133_133
% 17.44/4.63 |
% 17.44/4.64 | Combining equations (2922,2969) yields a new equation:
% 17.44/4.64 | (455) e23 = e21
% 17.44/4.64 |
% 17.44/4.64 | Equations (455) can reduce 290 to:
% 17.44/4.64 | (397) $false
% 17.44/4.64 |
% 17.44/4.64 |-The branch is then unsatisfiable
% 17.44/4.64 |-Branch two:
% 17.44/4.64 | (2973) all_0_108_108 = e22 & all_0_131_131 = all_0_134_134
% 17.44/4.64 |
% 17.44/4.64 | Applying alpha-rule on (2973) yields:
% 17.44/4.64 | (2974) all_0_108_108 = e22
% 17.44/4.64 | (2956) all_0_131_131 = all_0_134_134
% 17.44/4.64 |
% 17.44/4.64 | Combining equations (471,2956) yields a new equation:
% 17.44/4.64 | (482) all_0_134_134 = e20
% 17.44/4.64 |
% 17.44/4.64 | Combining equations (482,672) yields a new equation:
% 17.44/4.64 | (442) e23 = e20
% 17.44/4.64 |
% 17.44/4.64 | Equations (442) can reduce 282 to:
% 17.44/4.64 | (397) $false
% 17.44/4.64 |
% 17.44/4.64 |-The branch is then unsatisfiable
% 17.44/4.64 |-Branch two:
% 17.44/4.64 | (2979) all_0_110_110 = e20 & all_0_136_136 = e23
% 17.44/4.64 |
% 17.44/4.64 | Applying alpha-rule on (2979) yields:
% 17.44/4.64 | (2980) all_0_110_110 = e20
% 17.44/4.64 | (437) all_0_136_136 = e23
% 17.44/4.64 |
% 17.44/4.64 | Combining equations (2980,2834) yields a new equation:
% 17.44/4.64 | (450) e21 = e20
% 17.44/4.64 |
% 17.44/4.64 | Equations (450) can reduce 335 to:
% 17.44/4.64 | (397) $false
% 17.44/4.64 |
% 17.44/4.64 |-The branch is then unsatisfiable
% 17.44/4.64 |-Branch two:
% 17.44/4.64 | (2984) all_0_111_111 = e23 & all_0_137_137 = e22
% 17.44/4.64 |
% 17.44/4.64 | Applying alpha-rule on (2984) yields:
% 17.44/4.64 | (2985) all_0_111_111 = e23
% 17.44/4.64 | (399) all_0_137_137 = e22
% 17.44/4.64 |
% 17.44/4.64 | Combining equations (399,396) yields a new equation:
% 17.44/4.64 | (546) e22 = e20
% 17.44/4.64 |
% 17.44/4.64 | Simplifying 546 yields:
% 17.44/4.64 | (547) e22 = e20
% 17.44/4.64 |
% 17.44/4.64 | Equations (547) can reduce 128 to:
% 17.44/4.64 | (397) $false
% 17.44/4.64 |
% 17.44/4.64 |-The branch is then unsatisfiable
% 17.44/4.64 |-Branch two:
% 17.44/4.64 | (2990) all_0_112_112 = e22 & all_0_132_132 = all_0_138_138
% 17.44/4.64 |
% 17.44/4.64 | Applying alpha-rule on (2990) yields:
% 17.44/4.64 | (2991) all_0_112_112 = e22
% 17.44/4.64 | (2962) all_0_132_132 = all_0_138_138
% 17.44/4.64 |
% 17.44/4.64 | Combining equations (2876,2991) yields a new equation:
% 17.44/4.64 | (467) e22 = e21
% 17.44/4.64 |
% 17.44/4.64 | Equations (467) can reduce 259 to:
% 17.44/4.64 | (397) $false
% 17.44/4.64 |
% 17.44/4.64 |-The branch is then unsatisfiable
% 17.44/4.64 |-Branch two:
% 17.44/4.64 | (2995) all_0_133_133 = e21 & all_0_136_136 = e23
% 17.44/4.64 |
% 17.44/4.64 | Applying alpha-rule on (2995) yields:
% 17.44/4.64 | (496) all_0_133_133 = e21
% 17.44/4.64 | (437) all_0_136_136 = e23
% 17.44/4.64 |
% 17.44/4.64 | Combining equations (437,434) yields a new equation:
% 17.44/4.64 | (2998) e23 = e20
% 17.44/4.64 |
% 17.44/4.64 | Simplifying 2998 yields:
% 17.44/4.64 | (442) e23 = e20
% 17.44/4.64 |
% 17.44/4.64 | Equations (442) can reduce 282 to:
% 17.44/4.64 | (397) $false
% 17.44/4.64 |
% 17.44/4.64 |-The branch is then unsatisfiable
% 17.44/4.64 |-Branch two:
% 17.44/4.64 | (3001) all_0_137_137 = e22 & all_0_138_138 = e20
% 17.44/4.64 |
% 17.44/4.64 | Applying alpha-rule on (3001) yields:
% 17.44/4.64 | (399) all_0_137_137 = e22
% 17.44/4.64 | (390) all_0_138_138 = e20
% 17.44/4.64 |
% 17.44/4.64 | Combining equations (561,390) yields a new equation:
% 17.44/4.64 | (546) e22 = e20
% 17.44/4.64 |
% 17.44/4.64 | Simplifying 546 yields:
% 17.44/4.64 | (547) e22 = e20
% 17.44/4.64 |
% 17.44/4.64 | Equations (547) can reduce 128 to:
% 17.44/4.64 | (397) $false
% 17.44/4.64 |
% 17.44/4.64 |-The branch is then unsatisfiable
% 17.44/4.64 |-Branch two:
% 17.44/4.64 | (400) ~ (all_0_129_129 = e22)
% 17.44/4.64 | (848) all_0_130_130 = e22 | all_0_131_131 = e22
% 17.44/4.64 |
% 17.44/4.64 +-Applying beta-rule and splitting (848), into two cases.
% 17.44/4.64 |-Branch one:
% 17.44/4.64 | (466) all_0_130_130 = e22
% 17.44/4.64 |
% 17.44/4.64 | Combining equations (459,466) yields a new equation:
% 17.44/4.64 | (467) e22 = e21
% 17.44/4.64 |
% 17.44/4.64 | Equations (467) can reduce 259 to:
% 17.44/4.64 | (397) $false
% 17.44/4.64 |
% 17.44/4.64 |-The branch is then unsatisfiable
% 17.44/4.64 |-Branch two:
% 17.44/4.64 | (469) ~ (all_0_130_130 = e22)
% 17.44/4.64 | (480) all_0_131_131 = e22
% 17.44/4.64 |
% 17.44/4.64 | Combining equations (471,480) yields a new equation:
% 17.44/4.64 | (547) e22 = e20
% 17.44/4.64 |
% 17.44/4.64 | Equations (547) can reduce 128 to:
% 17.44/4.64 | (397) $false
% 17.44/4.64 |
% 17.44/4.64 |-The branch is then unsatisfiable
% 17.44/4.64 |-Branch two:
% 17.44/4.64 | (391) ~ (all_0_127_127 = e20)
% 17.44/4.64 | (422) all_0_127_127 = e23
% 17.44/4.64 |
% 17.44/4.64 | Equations (422) can reduce 643 to:
% 17.44/4.64 | (397) $false
% 17.44/4.64 |
% 17.44/4.64 |-The branch is then unsatisfiable
% 17.44/4.64 |-Branch two:
% 17.44/4.64 | (427) ~ (all_0_131_131 = e20)
% 17.44/4.64 | (480) all_0_131_131 = e22
% 17.44/4.64 |
% 17.44/4.64 | Equations (480) can reduce 531 to:
% 17.44/4.64 | (397) $false
% 17.44/4.64 |
% 17.44/4.64 |-The branch is then unsatisfiable
% 17.44/4.64 |-Branch two:
% 17.44/4.64 | (569) ~ (all_0_130_130 = e21)
% 17.44/4.64 | (462) all_0_134_134 = e21
% 17.44/4.64 |
% 17.44/4.64 | Equations (462) can reduce 461 to:
% 17.44/4.64 | (397) $false
% 17.44/4.64 |
% 17.44/4.64 |-The branch is then unsatisfiable
% 17.44/4.64 |-Branch two:
% 17.44/4.64 | (549) ~ (all_0_133_133 = e21)
% 17.44/4.64 | (1138) all_0_133_133 = e23 | all_0_133_133 = e22 | all_0_133_133 = e20
% 17.44/4.64 |
% 17.44/4.64 +-Applying beta-rule and splitting (73), into two cases.
% 17.44/4.64 |-Branch one:
% 17.44/4.64 | (489) all_0_126_126 = e21
% 17.44/4.64 |
% 17.44/4.64 | Combining equations (441,489) yields a new equation:
% 17.44/4.64 | (523) e23 = e21
% 17.44/4.64 |
% 17.44/4.64 | Simplifying 523 yields:
% 17.44/4.64 | (455) e23 = e21
% 17.44/4.64 |
% 17.44/4.64 | Equations (455) can reduce 290 to:
% 17.44/4.64 | (397) $false
% 17.44/4.64 |
% 17.44/4.64 |-The branch is then unsatisfiable
% 17.44/4.64 |-Branch two:
% 17.44/4.64 | (492) ~ (all_0_126_126 = e21)
% 17.44/4.64 | (493) all_0_129_129 = e21 | all_0_133_133 = e21
% 17.44/4.64 |
% 17.44/4.64 +-Applying beta-rule and splitting (493), into two cases.
% 17.44/4.64 |-Branch one:
% 17.44/4.64 | (454) all_0_129_129 = e21
% 17.44/4.64 |
% 17.44/4.64 | Equations (454) can reduce 44 to:
% 17.44/4.64 | (3034) ~ (all_0_130_130 = e21)
% 17.44/4.64 |
% 17.44/4.64 | Simplifying 3034 yields:
% 17.44/4.64 | (569) ~ (all_0_130_130 = e21)
% 17.44/4.64 |
% 17.44/4.64 | Equations (454) can reduce 46 to:
% 17.44/4.64 | (404) ~ (all_0_131_131 = e21)
% 17.44/4.64 |
% 17.44/4.64 | Simplifying 404 yields:
% 17.44/4.64 | (405) ~ (all_0_131_131 = e21)
% 17.44/4.64 |
% 17.44/4.64 | Equations (454) can reduce 572 to:
% 17.44/4.64 | (497) ~ (e23 = e21)
% 17.44/4.64 |
% 17.44/4.64 | Simplifying 497 yields:
% 17.44/4.64 | (290) ~ (e23 = e21)
% 17.44/4.64 |
% 17.44/4.64 +-Applying beta-rule and splitting (193), into two cases.
% 17.44/4.64 |-Branch one:
% 17.44/4.64 | (410) all_0_127_127 = e21
% 17.44/4.64 |
% 17.44/4.64 | Equations (410) can reduce 403 to:
% 17.44/4.64 | (397) $false
% 17.44/4.64 |
% 17.44/4.64 |-The branch is then unsatisfiable
% 17.44/4.64 |-Branch two:
% 17.44/4.64 | (403) ~ (all_0_127_127 = e21)
% 17.44/4.64 | (413) all_0_127_127 = e23 | all_0_127_127 = e20
% 17.44/4.64 |
% 17.44/4.64 +-Applying beta-rule and splitting (276), into two cases.
% 17.44/4.64 |-Branch one:
% 17.44/4.64 | (410) all_0_127_127 = e21
% 17.44/4.64 |
% 17.44/4.64 | Equations (410) can reduce 403 to:
% 17.44/4.64 | (397) $false
% 17.44/4.64 |
% 17.44/4.64 |-The branch is then unsatisfiable
% 17.44/4.64 |-Branch two:
% 17.44/4.64 | (403) ~ (all_0_127_127 = e21)
% 17.44/4.64 | (2874) all_0_130_130 = e21 | all_0_134_134 = e21
% 17.44/4.64 |
% 17.44/4.64 +-Applying beta-rule and splitting (2874), into two cases.
% 17.44/4.64 |-Branch one:
% 17.44/4.64 | (459) all_0_130_130 = e21
% 17.44/4.64 |
% 17.44/4.64 | Equations (459) can reduce 569 to:
% 17.44/4.64 | (397) $false
% 17.44/4.64 |
% 17.44/4.64 |-The branch is then unsatisfiable
% 17.44/4.64 |-Branch two:
% 17.44/4.64 | (569) ~ (all_0_130_130 = e21)
% 17.44/4.64 | (462) all_0_134_134 = e21
% 17.44/4.64 |
% 17.44/4.64 | Equations (462) can reduce 13 to:
% 17.44/4.64 | (549) ~ (all_0_133_133 = e21)
% 17.44/4.64 |
% 17.44/4.64 | Equations (462) can reduce 534 to:
% 17.44/4.64 | (408) ~ (e22 = e21)
% 17.44/4.64 |
% 17.44/4.64 | Simplifying 408 yields:
% 17.44/4.64 | (259) ~ (e22 = e21)
% 17.44/4.64 |
% 17.44/4.64 +-Applying beta-rule and splitting (296), into two cases.
% 17.44/4.64 |-Branch one:
% 17.44/4.64 | (620) (all_0_127_127 = e23 & all_0_129_129 = e23 & ~ (all_0_126_126 = e23) & ~ (all_0_133_133 = e21) & ~ (all_0_137_137 = e20)) | (all_0_128_128 = e21 & all_0_133_133 = e21 & ~ (all_0_131_131 = e22) & ~ (all_0_135_135 = e21)) | (all_0_131_131 = e22 & all_0_134_134 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_138_138 = e20)) | (all_0_131_131 = e21 & all_0_134_134 = e21 & ~ (all_0_135_135 = e21))
% 17.44/4.64 |
% 17.44/4.64 +-Applying beta-rule and splitting (620), into two cases.
% 17.44/4.64 |-Branch one:
% 17.44/4.64 | (621) (all_0_127_127 = e23 & all_0_129_129 = e23 & ~ (all_0_126_126 = e23) & ~ (all_0_133_133 = e21) & ~ (all_0_137_137 = e20)) | (all_0_128_128 = e21 & all_0_133_133 = e21 & ~ (all_0_131_131 = e22) & ~ (all_0_135_135 = e21)) | (all_0_131_131 = e22 & all_0_134_134 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_138_138 = e20))
% 17.44/4.64 |
% 17.44/4.64 +-Applying beta-rule and splitting (621), into two cases.
% 17.44/4.64 |-Branch one:
% 17.44/4.64 | (622) (all_0_127_127 = e23 & all_0_129_129 = e23 & ~ (all_0_126_126 = e23) & ~ (all_0_133_133 = e21) & ~ (all_0_137_137 = e20)) | (all_0_128_128 = e21 & all_0_133_133 = e21 & ~ (all_0_131_131 = e22) & ~ (all_0_135_135 = e21))
% 17.44/4.64 |
% 17.44/4.64 +-Applying beta-rule and splitting (622), into two cases.
% 17.44/4.64 |-Branch one:
% 17.44/4.64 | (623) all_0_127_127 = e23 & all_0_129_129 = e23 & ~ (all_0_126_126 = e23) & ~ (all_0_133_133 = e21) & ~ (all_0_137_137 = e20)
% 17.44/4.64 |
% 17.44/4.64 | Applying alpha-rule on (623) yields:
% 17.44/4.64 | (444) ~ (all_0_126_126 = e23)
% 17.44/4.64 | (446) all_0_129_129 = e23
% 17.44/4.64 | (393) ~ (all_0_137_137 = e20)
% 17.44/4.64 | (549) ~ (all_0_133_133 = e21)
% 17.44/4.64 | (422) all_0_127_127 = e23
% 17.44/4.64 |
% 17.44/4.64 | Combining equations (454,446) yields a new equation:
% 17.44/4.64 | (455) e23 = e21
% 17.44/4.64 |
% 17.44/4.64 | Equations (455) can reduce 290 to:
% 17.44/4.64 | (397) $false
% 17.44/4.64 |
% 17.44/4.64 |-The branch is then unsatisfiable
% 17.44/4.64 |-Branch two:
% 17.44/4.64 | (631) all_0_128_128 = e21 & all_0_133_133 = e21 & ~ (all_0_131_131 = e22) & ~ (all_0_135_135 = e21)
% 17.44/4.64 |
% 17.44/4.64 | Applying alpha-rule on (631) yields:
% 17.44/4.64 | (402) all_0_128_128 = e21
% 17.44/4.64 | (496) all_0_133_133 = e21
% 17.44/4.64 | (531) ~ (all_0_131_131 = e22)
% 17.44/4.64 | (407) ~ (all_0_135_135 = e21)
% 17.44/4.64 |
% 17.44/4.64 | Equations (496) can reduce 549 to:
% 17.44/4.64 | (397) $false
% 17.44/4.64 |
% 17.44/4.64 |-The branch is then unsatisfiable
% 17.44/4.64 |-Branch two:
% 17.44/4.64 | (639) all_0_131_131 = e22 & all_0_134_134 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_138_138 = e20)
% 17.44/4.64 |
% 17.44/4.64 | Applying alpha-rule on (639) yields:
% 17.44/4.64 | (469) ~ (all_0_130_130 = e22)
% 17.44/4.64 | (480) all_0_131_131 = e22
% 17.44/4.64 | (642) ~ (all_0_138_138 = e20)
% 17.44/4.64 | (643) ~ (all_0_127_127 = e23)
% 17.44/4.64 | (486) all_0_134_134 = e22
% 17.44/4.64 |
% 17.44/4.64 | Combining equations (486,462) yields a new equation:
% 17.44/4.64 | (552) e22 = e21
% 17.44/4.64 |
% 17.44/4.64 | Simplifying 552 yields:
% 17.44/4.64 | (467) e22 = e21
% 17.44/4.64 |
% 17.44/4.64 | Equations (467) can reduce 259 to:
% 17.44/4.64 | (397) $false
% 17.44/4.64 |
% 17.44/4.64 |-The branch is then unsatisfiable
% 17.44/4.64 |-Branch two:
% 17.44/4.64 | (651) all_0_131_131 = e21 & all_0_134_134 = e21 & ~ (all_0_135_135 = e21)
% 17.44/4.64 |
% 17.44/4.64 | Applying alpha-rule on (651) yields:
% 17.44/4.64 | (570) all_0_131_131 = e21
% 17.44/4.64 | (462) all_0_134_134 = e21
% 17.44/4.64 | (407) ~ (all_0_135_135 = e21)
% 17.44/4.64 |
% 17.44/4.64 | Equations (570) can reduce 405 to:
% 17.44/4.64 | (397) $false
% 17.44/4.64 |
% 17.44/4.64 |-The branch is then unsatisfiable
% 17.44/4.64 |-Branch two:
% 17.44/4.64 | (658) all_0_132_132 = e20 & all_0_138_138 = e20
% 17.44/4.64 |
% 17.44/4.64 | Applying alpha-rule on (658) yields:
% 17.44/4.64 | (426) all_0_132_132 = e20
% 17.44/4.64 | (390) all_0_138_138 = e20
% 17.44/4.64 |
% 17.44/4.64 | Combining equations (390,561) yields a new equation:
% 17.44/4.64 | (547) e22 = e20
% 17.44/4.64 |
% 17.44/4.64 | Equations (547) can reduce 128 to:
% 17.44/4.64 | (397) $false
% 17.44/4.64 |
% 17.44/4.64 |-The branch is then unsatisfiable
% 17.44/4.64 |-Branch two:
% 17.44/4.64 | (457) ~ (all_0_129_129 = e21)
% 17.44/4.64 | (496) all_0_133_133 = e21
% 17.44/4.64 |
% 17.44/4.64 | Equations (496) can reduce 549 to:
% 17.44/4.64 | (397) $false
% 17.44/4.64 |
% 17.44/4.64 |-The branch is then unsatisfiable
% 17.44/4.65 |-Branch two:
% 17.44/4.65 | (705) ~ (all_0_128_128 = e21)
% 17.44/4.65 | (449) all_0_128_128 = e20
% 17.44/4.65 |
% 17.44/4.65 | Equations (449) can reduce 222 to:
% 17.44/4.65 | (697) ~ (all_0_126_126 = e20)
% 17.44/4.65 |
% 17.44/4.65 | Equations (449) can reduce 21 to:
% 17.44/4.65 | (3097) ~ (all_0_131_131 = e20)
% 17.44/4.65 |
% 17.44/4.65 | Simplifying 3097 yields:
% 17.44/4.65 | (427) ~ (all_0_131_131 = e20)
% 17.44/4.65 |
% 17.44/4.65 | Equations (449) can reduce 38 to:
% 17.44/4.65 | (607) ~ (all_0_135_135 = e20)
% 17.44/4.65 |
% 17.44/4.65 | Simplifying 607 yields:
% 17.44/4.65 | (579) ~ (all_0_135_135 = e20)
% 17.44/4.65 |
% 17.44/4.65 | Equations (449) can reduce 137 to:
% 17.44/4.65 | (609) ~ (e23 = e20)
% 17.44/4.65 |
% 17.44/4.65 | Simplifying 609 yields:
% 17.44/4.65 | (282) ~ (e23 = e20)
% 17.44/4.65 |
% 17.44/4.65 | Equations (449) can reduce 705 to:
% 17.44/4.65 | (394) ~ (e21 = e20)
% 17.44/4.65 |
% 17.44/4.65 | Simplifying 394 yields:
% 17.44/4.65 | (335) ~ (e21 = e20)
% 17.44/4.65 |
% 17.44/4.65 | From (449) and (37) follows:
% 17.44/4.65 | (3105) op2(e21, e20) = all_0_102_102
% 17.44/4.65 |
% 17.44/4.65 +-Applying beta-rule and splitting (149), into two cases.
% 17.44/4.65 |-Branch one:
% 17.44/4.65 | (800) all_0_129_129 = e20
% 17.44/4.65 |
% 17.44/4.65 | Equations (800) can reduce 418 to:
% 17.44/4.65 | (397) $false
% 17.44/4.65 |
% 17.44/4.65 |-The branch is then unsatisfiable
% 17.44/4.65 |-Branch two:
% 17.44/4.65 | (418) ~ (all_0_129_129 = e20)
% 17.44/4.65 | (3109) all_0_130_130 = e20 | all_0_131_131 = e20 | all_0_132_132 = e20
% 17.44/4.65 |
% 17.44/4.65 +-Applying beta-rule and splitting (3109), into two cases.
% 17.44/4.65 |-Branch one:
% 17.44/4.65 | (537) all_0_130_130 = e20
% 17.44/4.65 |
% 17.44/4.65 | Combining equations (537,2669) yields a new equation:
% 17.44/4.65 | (3111) all_0_112_112 = e20
% 17.44/4.65 |
% 17.44/4.65 | Equations (537) can reduce 277 to:
% 17.44/4.65 | (391) ~ (all_0_127_127 = e20)
% 17.44/4.65 |
% 17.44/4.65 | Equations (537) can reduce 44 to:
% 17.44/4.65 | (418) ~ (all_0_129_129 = e20)
% 17.44/4.65 |
% 17.44/4.65 | Equations (537) can reduce 132 to:
% 17.44/4.65 | (720) ~ (all_0_134_134 = e20)
% 17.44/4.65 |
% 17.44/4.65 | Simplifying 720 yields:
% 17.44/4.65 | (477) ~ (all_0_134_134 = e20)
% 17.44/4.65 |
% 17.44/4.65 | Equations (537) can reduce 469 to:
% 17.44/4.65 | (430) ~ (e22 = e20)
% 17.44/4.65 |
% 17.44/4.65 | Simplifying 430 yields:
% 17.44/4.65 | (128) ~ (e22 = e20)
% 17.44/4.65 |
% 17.44/4.65 +-Applying beta-rule and splitting (296), into two cases.
% 17.44/4.65 |-Branch one:
% 17.44/4.65 | (620) (all_0_127_127 = e23 & all_0_129_129 = e23 & ~ (all_0_126_126 = e23) & ~ (all_0_133_133 = e21) & ~ (all_0_137_137 = e20)) | (all_0_128_128 = e21 & all_0_133_133 = e21 & ~ (all_0_131_131 = e22) & ~ (all_0_135_135 = e21)) | (all_0_131_131 = e22 & all_0_134_134 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_138_138 = e20)) | (all_0_131_131 = e21 & all_0_134_134 = e21 & ~ (all_0_135_135 = e21))
% 17.44/4.65 |
% 17.44/4.65 +-Applying beta-rule and splitting (620), into two cases.
% 17.44/4.65 |-Branch one:
% 17.44/4.65 | (621) (all_0_127_127 = e23 & all_0_129_129 = e23 & ~ (all_0_126_126 = e23) & ~ (all_0_133_133 = e21) & ~ (all_0_137_137 = e20)) | (all_0_128_128 = e21 & all_0_133_133 = e21 & ~ (all_0_131_131 = e22) & ~ (all_0_135_135 = e21)) | (all_0_131_131 = e22 & all_0_134_134 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_138_138 = e20))
% 17.44/4.65 |
% 17.44/4.65 +-Applying beta-rule and splitting (621), into two cases.
% 17.44/4.65 |-Branch one:
% 17.44/4.65 | (622) (all_0_127_127 = e23 & all_0_129_129 = e23 & ~ (all_0_126_126 = e23) & ~ (all_0_133_133 = e21) & ~ (all_0_137_137 = e20)) | (all_0_128_128 = e21 & all_0_133_133 = e21 & ~ (all_0_131_131 = e22) & ~ (all_0_135_135 = e21))
% 17.44/4.65 |
% 17.44/4.65 +-Applying beta-rule and splitting (622), into two cases.
% 17.44/4.65 |-Branch one:
% 17.44/4.65 | (623) all_0_127_127 = e23 & all_0_129_129 = e23 & ~ (all_0_126_126 = e23) & ~ (all_0_133_133 = e21) & ~ (all_0_137_137 = e20)
% 17.44/4.65 |
% 17.44/4.65 | Applying alpha-rule on (623) yields:
% 17.44/4.65 | (444) ~ (all_0_126_126 = e23)
% 17.44/4.65 | (446) all_0_129_129 = e23
% 17.44/4.65 | (393) ~ (all_0_137_137 = e20)
% 17.44/4.65 | (549) ~ (all_0_133_133 = e21)
% 17.44/4.65 | (422) all_0_127_127 = e23
% 17.44/4.65 |
% 17.44/4.65 | Equations (396) can reduce 393 to:
% 17.44/4.65 | (397) $false
% 17.44/4.65 |
% 17.44/4.65 |-The branch is then unsatisfiable
% 17.44/4.65 |-Branch two:
% 17.44/4.65 | (631) all_0_128_128 = e21 & all_0_133_133 = e21 & ~ (all_0_131_131 = e22) & ~ (all_0_135_135 = e21)
% 17.44/4.65 |
% 17.44/4.65 | Applying alpha-rule on (631) yields:
% 17.44/4.65 | (402) all_0_128_128 = e21
% 17.44/4.65 | (496) all_0_133_133 = e21
% 17.44/4.65 | (531) ~ (all_0_131_131 = e22)
% 17.44/4.65 | (407) ~ (all_0_135_135 = e21)
% 17.44/4.65 |
% 17.44/4.65 | Combining equations (449,402) yields a new equation:
% 17.44/4.65 | (450) e21 = e20
% 17.44/4.65 |
% 17.44/4.65 | Equations (450) can reduce 335 to:
% 17.44/4.65 | (397) $false
% 17.44/4.65 |
% 17.44/4.65 |-The branch is then unsatisfiable
% 17.44/4.65 |-Branch two:
% 17.44/4.65 | (639) all_0_131_131 = e22 & all_0_134_134 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_138_138 = e20)
% 17.44/4.65 |
% 17.44/4.65 | Applying alpha-rule on (639) yields:
% 17.44/4.65 | (469) ~ (all_0_130_130 = e22)
% 17.44/4.65 | (480) all_0_131_131 = e22
% 17.44/4.65 | (642) ~ (all_0_138_138 = e20)
% 17.44/4.65 | (643) ~ (all_0_127_127 = e23)
% 17.44/4.65 | (486) all_0_134_134 = e22
% 17.44/4.65 |
% 17.44/4.65 | Equations (486) can reduce 534 to:
% 17.44/4.65 | (397) $false
% 17.44/4.65 |
% 17.44/4.65 |-The branch is then unsatisfiable
% 17.44/4.65 |-Branch two:
% 17.44/4.65 | (651) all_0_131_131 = e21 & all_0_134_134 = e21 & ~ (all_0_135_135 = e21)
% 17.44/4.65 |
% 17.44/4.65 | Applying alpha-rule on (651) yields:
% 17.44/4.65 | (570) all_0_131_131 = e21
% 17.44/4.65 | (462) all_0_134_134 = e21
% 17.44/4.65 | (407) ~ (all_0_135_135 = e21)
% 17.44/4.65 |
% 17.44/4.65 | Equations (462) can reduce 358 to:
% 17.44/4.65 | (403) ~ (all_0_127_127 = e21)
% 17.44/4.65 |
% 17.44/4.65 | Equations (462) can reduce 101 to:
% 17.44/4.65 | (406) ~ (all_0_135_135 = e21)
% 17.44/4.65 |
% 17.44/4.65 | Simplifying 406 yields:
% 17.44/4.65 | (407) ~ (all_0_135_135 = e21)
% 17.44/4.65 |
% 17.44/4.65 | Equations (462) can reduce 477 to:
% 17.44/4.65 | (335) ~ (e21 = e20)
% 17.44/4.65 |
% 17.44/4.65 | From (462) and (360) follows:
% 17.44/4.65 | (3150) op2(e22, e21) = all_0_108_108
% 17.44/4.65 |
% 17.44/4.65 | From (570) and (8) follows:
% 17.44/4.65 | (3151) op2(e22, e21) = e21
% 17.44/4.65 |
% 17.44/4.65 | From (570) and (173) follows:
% 17.44/4.65 | (3152) op2(e21, e21) = all_0_105_105
% 17.44/4.65 |
% 17.44/4.65 +-Applying beta-rule and splitting (264), into two cases.
% 17.44/4.65 |-Branch one:
% 17.44/4.65 | (556) all_0_135_135 = e21
% 17.44/4.65 |
% 17.44/4.65 | Equations (556) can reduce 407 to:
% 17.44/4.65 | (397) $false
% 17.44/4.65 |
% 17.44/4.65 |-The branch is then unsatisfiable
% 17.44/4.65 |-Branch two:
% 17.44/4.65 | (407) ~ (all_0_135_135 = e21)
% 17.44/4.65 | (605) all_0_135_135 = e22 | all_0_135_135 = e20
% 17.44/4.65 |
% 17.44/4.65 +-Applying beta-rule and splitting (605), into two cases.
% 17.44/4.65 |-Branch one:
% 17.44/4.65 | (474) all_0_135_135 = e20
% 17.44/4.65 |
% 17.44/4.65 | Equations (474) can reduce 579 to:
% 17.44/4.65 | (397) $false
% 17.44/4.65 |
% 17.44/4.65 |-The branch is then unsatisfiable
% 17.44/4.65 |-Branch two:
% 17.44/4.65 | (579) ~ (all_0_135_135 = e20)
% 17.44/4.65 | (542) all_0_135_135 = e22
% 17.44/4.65 |
% 17.44/4.65 | Equations (542) can reduce 191 to:
% 17.44/4.65 | (742) ~ (all_0_133_133 = e22)
% 17.44/4.65 |
% 17.44/4.65 | From (542) and (250) follows:
% 17.44/4.65 | (3162) op2(e22, e21) = all_0_77_77
% 17.44/4.65 |
% 17.44/4.65 | From (542) and (209) follows:
% 17.44/4.65 | (2866) op2(e21, e21) = e22
% 17.44/4.65 |
% 17.44/4.65 +-Applying beta-rule and splitting (193), into two cases.
% 17.44/4.65 |-Branch one:
% 17.44/4.65 | (410) all_0_127_127 = e21
% 17.44/4.65 |
% 17.44/4.65 | Equations (410) can reduce 403 to:
% 17.44/4.65 | (397) $false
% 17.44/4.65 |
% 17.44/4.65 |-The branch is then unsatisfiable
% 17.44/4.65 |-Branch two:
% 17.44/4.65 | (403) ~ (all_0_127_127 = e21)
% 17.44/4.65 | (413) all_0_127_127 = e23 | all_0_127_127 = e20
% 17.44/4.65 |
% 17.44/4.65 +-Applying beta-rule and splitting (413), into two cases.
% 17.44/4.65 |-Branch one:
% 17.44/4.65 | (419) all_0_127_127 = e20
% 17.44/4.65 |
% 17.44/4.65 | Equations (419) can reduce 391 to:
% 17.44/4.65 | (397) $false
% 17.44/4.65 |
% 17.44/4.65 |-The branch is then unsatisfiable
% 17.44/4.65 |-Branch two:
% 17.44/4.65 | (391) ~ (all_0_127_127 = e20)
% 17.44/4.65 | (422) all_0_127_127 = e23
% 17.44/4.65 |
% 17.44/4.65 | Equations (422) can reduce 403 to:
% 17.44/4.65 | (290) ~ (e23 = e21)
% 17.44/4.65 |
% 17.44/4.65 +-Applying beta-rule and splitting (298), into two cases.
% 17.44/4.65 |-Branch one:
% 17.44/4.65 | (489) all_0_126_126 = e21
% 17.44/4.65 |
% 17.44/4.65 | Equations (489) can reduce 347 to:
% 17.44/4.65 | (861) ~ (all_0_129_129 = e21)
% 17.44/4.65 |
% 17.44/4.65 | Simplifying 861 yields:
% 17.44/4.65 | (457) ~ (all_0_129_129 = e21)
% 17.44/4.65 |
% 17.44/4.65 | Equations (489) can reduce 9 to:
% 17.44/4.65 | (1128) ~ (all_0_133_133 = e21)
% 17.44/4.65 |
% 17.44/4.65 | Simplifying 1128 yields:
% 17.44/4.65 | (549) ~ (all_0_133_133 = e21)
% 17.44/4.65 |
% 17.44/4.65 | Equations (489) can reduce 697 to:
% 17.44/4.65 | (335) ~ (e21 = e20)
% 17.44/4.65 |
% 17.44/4.65 | From (489)(489) and (196) follows:
% 17.44/4.65 | (3179) op2(e21, e21) = all_0_19_19
% 17.44/4.65 |
% 17.44/4.65 | From (489) and (247) follows:
% 17.44/4.65 | (3180) op2(e23, e23) = e21
% 17.44/4.65 |
% 17.44/4.65 +-Applying beta-rule and splitting (194), into two cases.
% 17.44/4.65 |-Branch one:
% 17.44/4.65 | (454) all_0_129_129 = e21
% 17.44/4.65 |
% 17.44/4.65 | Equations (454) can reduce 457 to:
% 17.44/4.65 | (397) $false
% 17.44/4.65 |
% 17.44/4.65 |-The branch is then unsatisfiable
% 17.44/4.65 |-Branch two:
% 17.44/4.65 | (457) ~ (all_0_129_129 = e21)
% 17.44/4.65 | (678) all_0_129_129 = e23 | all_0_129_129 = e22 | all_0_129_129 = e20
% 17.44/4.65 |
% 17.44/4.65 +-Applying beta-rule and splitting (289), into two cases.
% 17.44/4.65 |-Branch one:
% 17.44/4.65 | (496) all_0_133_133 = e21
% 17.44/4.65 |
% 17.44/4.65 | Equations (496) can reduce 549 to:
% 17.44/4.65 | (397) $false
% 17.44/4.65 |
% 17.44/4.65 |-The branch is then unsatisfiable
% 17.44/4.65 |-Branch two:
% 17.44/4.65 | (549) ~ (all_0_133_133 = e21)
% 17.44/4.65 | (1138) all_0_133_133 = e23 | all_0_133_133 = e22 | all_0_133_133 = e20
% 17.44/4.65 |
% 17.44/4.65 +-Applying beta-rule and splitting (1138), into two cases.
% 17.44/4.65 |-Branch one:
% 17.44/4.65 | (717) all_0_133_133 = e20
% 17.44/4.65 |
% 17.44/4.65 | Equations (717) can reduce 476 to:
% 17.44/4.65 | (397) $false
% 17.44/4.65 |
% 17.44/4.65 |-The branch is then unsatisfiable
% 17.44/4.65 |-Branch two:
% 17.44/4.65 | (476) ~ (all_0_133_133 = e20)
% 17.44/4.65 | (1142) all_0_133_133 = e23 | all_0_133_133 = e22
% 17.44/4.65 |
% 17.44/4.65 +-Applying beta-rule and splitting (1142), into two cases.
% 17.44/4.65 |-Branch one:
% 17.44/4.65 | (739) all_0_133_133 = e22
% 17.44/4.65 |
% 17.44/4.65 | Equations (739) can reduce 742 to:
% 17.44/4.65 | (397) $false
% 17.44/4.65 |
% 17.44/4.65 |-The branch is then unsatisfiable
% 17.44/4.65 |-Branch two:
% 17.44/4.65 | (742) ~ (all_0_133_133 = e22)
% 17.44/4.65 | (573) all_0_133_133 = e23
% 17.44/4.65 |
% 17.44/4.65 | Equations (573) can reduce 29 to:
% 17.44/4.65 | (572) ~ (all_0_129_129 = e23)
% 17.44/4.65 |
% 17.44/4.65 | From (573) and (218) follows:
% 17.44/4.65 | (3198) op2(e23, e23) = all_0_107_107
% 17.44/4.65 |
% 17.44/4.65 +-Applying beta-rule and splitting (678), into two cases.
% 17.44/4.65 |-Branch one:
% 17.44/4.65 | (800) all_0_129_129 = e20
% 17.44/4.65 |
% 17.44/4.65 | Equations (800) can reduce 418 to:
% 17.44/4.65 | (397) $false
% 17.44/4.65 |
% 17.44/4.65 |-The branch is then unsatisfiable
% 17.44/4.65 |-Branch two:
% 17.44/4.65 | (418) ~ (all_0_129_129 = e20)
% 17.44/4.65 | (803) all_0_129_129 = e23 | all_0_129_129 = e22
% 17.44/4.65 |
% 17.44/4.65 +-Applying beta-rule and splitting (803), into two cases.
% 17.44/4.65 |-Branch one:
% 17.44/4.65 | (804) all_0_129_129 = e22
% 17.44/4.65 |
% 17.44/4.65 | Equations (804) can reduce 572 to:
% 17.44/4.65 | (843) ~ (e23 = e22)
% 17.44/4.65 |
% 17.44/4.65 | Simplifying 843 yields:
% 17.44/4.65 | (25) ~ (e23 = e22)
% 17.44/4.65 |
% 17.44/4.65 | Equations (804) can reduce 457 to:
% 17.44/4.65 | (259) ~ (e22 = e21)
% 17.44/4.65 |
% 17.44/4.65 | Equations (804) can reduce 418 to:
% 17.44/4.65 | (128) ~ (e22 = e20)
% 17.44/4.65 |
% 17.44/4.65 | Instantiating formula (94) with e23, e23, e21, all_0_107_107 and discharging atoms op2(e23, e23) = all_0_107_107, op2(e23, e23) = e21, yields:
% 17.44/4.65 | (2922) all_0_107_107 = e21
% 17.44/4.65 |
% 17.44/4.65 | Instantiating formula (94) with e22, e21, all_0_108_108, all_0_77_77 and discharging atoms op2(e22, e21) = all_0_77_77, op2(e22, e21) = all_0_108_108, yields:
% 17.44/4.65 | (3209) all_0_77_77 = all_0_108_108
% 17.44/4.65 |
% 17.44/4.65 | Instantiating formula (94) with e22, e21, e21, all_0_77_77 and discharging atoms op2(e22, e21) = all_0_77_77, op2(e22, e21) = e21, yields:
% 17.44/4.65 | (3210) all_0_77_77 = e21
% 17.44/4.65 |
% 17.44/4.65 | Instantiating formula (94) with e21, e21, all_0_105_105, all_0_19_19 and discharging atoms op2(e21, e21) = all_0_19_19, op2(e21, e21) = all_0_105_105, yields:
% 17.44/4.66 | (3211) all_0_19_19 = all_0_105_105
% 17.44/4.66 |
% 17.44/4.66 | Instantiating formula (94) with e21, e21, e22, all_0_19_19 and discharging atoms op2(e21, e21) = all_0_19_19, op2(e21, e21) = e22, yields:
% 17.44/4.66 | (3212) all_0_19_19 = e22
% 17.44/4.66 |
% 17.44/4.66 | Instantiating formula (94) with e21, e20, all_0_102_102, e20 and discharging atoms op2(e21, e20) = all_0_102_102, op2(e21, e20) = e20, yields:
% 17.44/4.66 | (3213) all_0_102_102 = e20
% 17.44/4.66 |
% 17.44/4.66 | Combining equations (3211,3212) yields a new equation:
% 17.44/4.66 | (3214) all_0_105_105 = e22
% 17.44/4.66 |
% 17.44/4.66 | Simplifying 3214 yields:
% 17.44/4.66 | (3215) all_0_105_105 = e22
% 17.44/4.66 |
% 17.44/4.66 | Combining equations (3210,3209) yields a new equation:
% 17.44/4.66 | (3216) all_0_108_108 = e21
% 17.44/4.66 |
% 17.44/4.66 +-Applying beta-rule and splitting (54), into two cases.
% 17.44/4.66 |-Branch one:
% 17.44/4.66 | (2927) (all_0_101_101 = e22 & all_0_127_127 = all_0_129_129) | (all_0_102_102 = e21 & all_0_128_128 = all_0_133_133) | (all_0_103_103 = e23 & all_0_127_127 = all_0_129_129) | (all_0_105_105 = e21 & all_0_131_131 = all_0_134_134) | (all_0_106_106 = e20 & all_0_132_132 = all_0_138_138) | (all_0_107_107 = e23 & all_0_128_128 = all_0_133_133) | (all_0_108_108 = e22 & all_0_131_131 = all_0_134_134) | (all_0_110_110 = e20 & all_0_136_136 = e23) | (all_0_111_111 = e23 & all_0_137_137 = e22) | (all_0_112_112 = e22 & all_0_132_132 = all_0_138_138) | (all_0_133_133 = e21 & all_0_136_136 = e23)
% 17.44/4.66 |
% 17.44/4.66 +-Applying beta-rule and splitting (2927), into two cases.
% 17.44/4.66 |-Branch one:
% 17.44/4.66 | (2928) (all_0_101_101 = e22 & all_0_127_127 = all_0_129_129) | (all_0_102_102 = e21 & all_0_128_128 = all_0_133_133) | (all_0_103_103 = e23 & all_0_127_127 = all_0_129_129) | (all_0_105_105 = e21 & all_0_131_131 = all_0_134_134) | (all_0_106_106 = e20 & all_0_132_132 = all_0_138_138) | (all_0_107_107 = e23 & all_0_128_128 = all_0_133_133) | (all_0_108_108 = e22 & all_0_131_131 = all_0_134_134) | (all_0_110_110 = e20 & all_0_136_136 = e23) | (all_0_111_111 = e23 & all_0_137_137 = e22) | (all_0_112_112 = e22 & all_0_132_132 = all_0_138_138)
% 17.44/4.66 |
% 17.44/4.66 +-Applying beta-rule and splitting (2928), into two cases.
% 17.44/4.66 |-Branch one:
% 17.44/4.66 | (2929) (all_0_101_101 = e22 & all_0_127_127 = all_0_129_129) | (all_0_102_102 = e21 & all_0_128_128 = all_0_133_133) | (all_0_103_103 = e23 & all_0_127_127 = all_0_129_129) | (all_0_105_105 = e21 & all_0_131_131 = all_0_134_134) | (all_0_106_106 = e20 & all_0_132_132 = all_0_138_138) | (all_0_107_107 = e23 & all_0_128_128 = all_0_133_133) | (all_0_108_108 = e22 & all_0_131_131 = all_0_134_134) | (all_0_110_110 = e20 & all_0_136_136 = e23) | (all_0_111_111 = e23 & all_0_137_137 = e22)
% 17.44/4.66 |
% 17.44/4.66 +-Applying beta-rule and splitting (2929), into two cases.
% 17.44/4.66 |-Branch one:
% 17.44/4.66 | (2930) (all_0_101_101 = e22 & all_0_127_127 = all_0_129_129) | (all_0_102_102 = e21 & all_0_128_128 = all_0_133_133) | (all_0_103_103 = e23 & all_0_127_127 = all_0_129_129) | (all_0_105_105 = e21 & all_0_131_131 = all_0_134_134) | (all_0_106_106 = e20 & all_0_132_132 = all_0_138_138) | (all_0_107_107 = e23 & all_0_128_128 = all_0_133_133) | (all_0_108_108 = e22 & all_0_131_131 = all_0_134_134) | (all_0_110_110 = e20 & all_0_136_136 = e23)
% 17.44/4.66 |
% 17.44/4.66 +-Applying beta-rule and splitting (2930), into two cases.
% 17.44/4.66 |-Branch one:
% 17.44/4.66 | (2931) (all_0_101_101 = e22 & all_0_127_127 = all_0_129_129) | (all_0_102_102 = e21 & all_0_128_128 = all_0_133_133) | (all_0_103_103 = e23 & all_0_127_127 = all_0_129_129) | (all_0_105_105 = e21 & all_0_131_131 = all_0_134_134) | (all_0_106_106 = e20 & all_0_132_132 = all_0_138_138) | (all_0_107_107 = e23 & all_0_128_128 = all_0_133_133) | (all_0_108_108 = e22 & all_0_131_131 = all_0_134_134)
% 17.44/4.66 |
% 17.44/4.66 +-Applying beta-rule and splitting (2931), into two cases.
% 17.44/4.66 |-Branch one:
% 17.44/4.66 | (2932) (all_0_101_101 = e22 & all_0_127_127 = all_0_129_129) | (all_0_102_102 = e21 & all_0_128_128 = all_0_133_133) | (all_0_103_103 = e23 & all_0_127_127 = all_0_129_129) | (all_0_105_105 = e21 & all_0_131_131 = all_0_134_134) | (all_0_106_106 = e20 & all_0_132_132 = all_0_138_138) | (all_0_107_107 = e23 & all_0_128_128 = all_0_133_133)
% 17.44/4.66 |
% 17.44/4.66 +-Applying beta-rule and splitting (2932), into two cases.
% 17.44/4.66 |-Branch one:
% 17.44/4.66 | (2933) (all_0_101_101 = e22 & all_0_127_127 = all_0_129_129) | (all_0_102_102 = e21 & all_0_128_128 = all_0_133_133) | (all_0_103_103 = e23 & all_0_127_127 = all_0_129_129) | (all_0_105_105 = e21 & all_0_131_131 = all_0_134_134) | (all_0_106_106 = e20 & all_0_132_132 = all_0_138_138)
% 17.44/4.66 |
% 17.44/4.66 +-Applying beta-rule and splitting (2933), into two cases.
% 17.44/4.66 |-Branch one:
% 17.44/4.66 | (2934) (all_0_101_101 = e22 & all_0_127_127 = all_0_129_129) | (all_0_102_102 = e21 & all_0_128_128 = all_0_133_133) | (all_0_103_103 = e23 & all_0_127_127 = all_0_129_129) | (all_0_105_105 = e21 & all_0_131_131 = all_0_134_134)
% 17.44/4.66 |
% 17.44/4.66 +-Applying beta-rule and splitting (2934), into two cases.
% 17.44/4.66 |-Branch one:
% 17.44/4.66 | (2935) (all_0_101_101 = e22 & all_0_127_127 = all_0_129_129) | (all_0_102_102 = e21 & all_0_128_128 = all_0_133_133) | (all_0_103_103 = e23 & all_0_127_127 = all_0_129_129)
% 17.44/4.66 |
% 17.44/4.66 +-Applying beta-rule and splitting (2935), into two cases.
% 17.44/4.66 |-Branch one:
% 17.44/4.66 | (2936) (all_0_101_101 = e22 & all_0_127_127 = all_0_129_129) | (all_0_102_102 = e21 & all_0_128_128 = all_0_133_133)
% 17.44/4.66 |
% 17.44/4.66 +-Applying beta-rule and splitting (2936), into two cases.
% 17.44/4.66 |-Branch one:
% 17.44/4.66 | (2937) all_0_101_101 = e22 & all_0_127_127 = all_0_129_129
% 17.44/4.66 |
% 17.44/4.66 | Applying alpha-rule on (2937) yields:
% 17.44/4.66 | (2938) all_0_101_101 = e22
% 17.44/4.66 | (2939) all_0_127_127 = all_0_129_129
% 17.44/4.66 |
% 17.44/4.66 | Combining equations (422,2939) yields a new equation:
% 17.44/4.66 | (446) all_0_129_129 = e23
% 17.44/4.66 |
% 17.44/4.66 | Combining equations (446,804) yields a new equation:
% 17.44/4.66 | (2965) e23 = e22
% 17.44/4.66 |
% 17.44/4.66 | Simplifying 2965 yields:
% 17.44/4.66 | (900) e23 = e22
% 17.44/4.66 |
% 17.44/4.66 | Equations (900) can reduce 25 to:
% 17.44/4.66 | (397) $false
% 17.44/4.66 |
% 17.44/4.66 |-The branch is then unsatisfiable
% 17.44/4.66 |-Branch two:
% 17.44/4.66 | (2943) all_0_102_102 = e21 & all_0_128_128 = all_0_133_133
% 17.44/4.66 |
% 17.44/4.66 | Applying alpha-rule on (2943) yields:
% 17.44/4.66 | (2944) all_0_102_102 = e21
% 17.44/4.66 | (2945) all_0_128_128 = all_0_133_133
% 17.44/4.66 |
% 17.44/4.66 | Combining equations (3213,2944) yields a new equation:
% 17.44/4.66 | (450) e21 = e20
% 17.44/4.66 |
% 17.44/4.66 | Equations (450) can reduce 335 to:
% 17.44/4.66 | (397) $false
% 17.44/4.66 |
% 17.44/4.66 |-The branch is then unsatisfiable
% 17.44/4.66 |-Branch two:
% 17.44/4.66 | (2948) all_0_103_103 = e23 & all_0_127_127 = all_0_129_129
% 17.44/4.66 |
% 17.44/4.66 | Applying alpha-rule on (2948) yields:
% 17.44/4.66 | (2949) all_0_103_103 = e23
% 17.44/4.66 | (2939) all_0_127_127 = all_0_129_129
% 17.44/4.66 |
% 17.44/4.66 | Combining equations (422,2939) yields a new equation:
% 17.44/4.66 | (446) all_0_129_129 = e23
% 17.44/4.66 |
% 17.44/4.66 | Combining equations (446,804) yields a new equation:
% 17.44/4.66 | (2965) e23 = e22
% 17.44/4.66 |
% 17.44/4.66 | Simplifying 2965 yields:
% 17.44/4.66 | (900) e23 = e22
% 17.44/4.66 |
% 17.44/4.66 | Equations (900) can reduce 25 to:
% 17.44/4.66 | (397) $false
% 17.44/4.66 |
% 17.44/4.66 |-The branch is then unsatisfiable
% 17.44/4.66 |-Branch two:
% 17.44/4.66 | (2954) all_0_105_105 = e21 & all_0_131_131 = all_0_134_134
% 17.44/4.66 |
% 17.44/4.66 | Applying alpha-rule on (2954) yields:
% 17.44/4.66 | (2955) all_0_105_105 = e21
% 17.44/4.66 | (2956) all_0_131_131 = all_0_134_134
% 17.44/4.66 |
% 17.44/4.66 | Combining equations (2955,3215) yields a new equation:
% 17.44/4.66 | (467) e22 = e21
% 17.44/4.66 |
% 17.44/4.66 | Equations (467) can reduce 259 to:
% 17.44/4.66 | (397) $false
% 17.44/4.66 |
% 17.44/4.66 |-The branch is then unsatisfiable
% 17.44/4.66 |-Branch two:
% 17.44/4.66 | (2960) all_0_106_106 = e20 & all_0_132_132 = all_0_138_138
% 17.44/4.66 |
% 17.44/4.66 | Applying alpha-rule on (2960) yields:
% 17.44/4.66 | (2961) all_0_106_106 = e20
% 17.44/4.66 | (2962) all_0_132_132 = all_0_138_138
% 17.44/4.66 |
% 17.44/4.66 | Combining equations (2962,582) yields a new equation:
% 17.44/4.66 | (2963) all_0_138_138 = e23
% 17.44/4.66 |
% 17.44/4.66 | Simplifying 2963 yields:
% 17.44/4.66 | (2964) all_0_138_138 = e23
% 17.44/4.66 |
% 17.44/4.66 | Combining equations (561,2964) yields a new equation:
% 17.44/4.66 | (900) e23 = e22
% 17.44/4.66 |
% 17.44/4.66 | Equations (900) can reduce 25 to:
% 17.44/4.66 | (397) $false
% 17.44/4.66 |
% 17.44/4.66 |-The branch is then unsatisfiable
% 17.44/4.66 |-Branch two:
% 17.44/4.66 | (2968) all_0_107_107 = e23 & all_0_128_128 = all_0_133_133
% 17.44/4.66 |
% 17.44/4.66 | Applying alpha-rule on (2968) yields:
% 17.44/4.66 | (2969) all_0_107_107 = e23
% 17.44/4.66 | (2945) all_0_128_128 = all_0_133_133
% 17.44/4.66 |
% 17.44/4.66 | Combining equations (2969,2922) yields a new equation:
% 17.44/4.66 | (523) e23 = e21
% 17.44/4.66 |
% 17.44/4.66 | Simplifying 523 yields:
% 17.44/4.66 | (455) e23 = e21
% 17.44/4.66 |
% 17.44/4.66 | Combining equations (449,2945) yields a new equation:
% 17.44/4.66 | (717) all_0_133_133 = e20
% 17.44/4.66 |
% 17.44/4.66 | Combining equations (717,573) yields a new equation:
% 17.44/4.66 | (442) e23 = e20
% 17.44/4.66 |
% 17.44/4.66 | Combining equations (442,455) yields a new equation:
% 17.44/4.66 | (450) e21 = e20
% 17.44/4.66 |
% 17.44/4.66 | Equations (450) can reduce 335 to:
% 17.44/4.66 | (397) $false
% 17.44/4.66 |
% 17.44/4.66 |-The branch is then unsatisfiable
% 17.44/4.66 |-Branch two:
% 17.44/4.66 | (2973) all_0_108_108 = e22 & all_0_131_131 = all_0_134_134
% 17.44/4.66 |
% 17.44/4.66 | Applying alpha-rule on (2973) yields:
% 17.44/4.66 | (2974) all_0_108_108 = e22
% 17.44/4.66 | (2956) all_0_131_131 = all_0_134_134
% 17.44/4.66 |
% 17.44/4.66 | Combining equations (2974,3216) yields a new equation:
% 17.44/4.66 | (552) e22 = e21
% 17.44/4.66 |
% 17.44/4.66 | Simplifying 552 yields:
% 17.44/4.66 | (467) e22 = e21
% 17.44/4.66 |
% 17.44/4.66 | Equations (467) can reduce 259 to:
% 17.44/4.66 | (397) $false
% 17.44/4.66 |
% 17.44/4.66 |-The branch is then unsatisfiable
% 17.44/4.67 |-Branch two:
% 17.44/4.67 | (2979) all_0_110_110 = e20 & all_0_136_136 = e23
% 17.44/4.67 |
% 17.44/4.67 | Applying alpha-rule on (2979) yields:
% 17.44/4.67 | (2980) all_0_110_110 = e20
% 17.44/4.67 | (437) all_0_136_136 = e23
% 17.44/4.67 |
% 17.44/4.67 | Combining equations (2980,2834) yields a new equation:
% 17.44/4.67 | (450) e21 = e20
% 17.44/4.67 |
% 17.44/4.67 | Equations (450) can reduce 335 to:
% 17.44/4.67 | (397) $false
% 17.44/4.67 |
% 17.44/4.67 |-The branch is then unsatisfiable
% 17.44/4.67 |-Branch two:
% 17.44/4.67 | (2984) all_0_111_111 = e23 & all_0_137_137 = e22
% 17.44/4.67 |
% 17.44/4.67 | Applying alpha-rule on (2984) yields:
% 17.44/4.67 | (2985) all_0_111_111 = e23
% 17.44/4.67 | (399) all_0_137_137 = e22
% 17.44/4.67 |
% 17.44/4.67 | Combining equations (396,399) yields a new equation:
% 17.44/4.67 | (547) e22 = e20
% 17.44/4.67 |
% 17.44/4.67 | Equations (547) can reduce 128 to:
% 17.44/4.67 | (397) $false
% 17.44/4.67 |
% 17.44/4.67 |-The branch is then unsatisfiable
% 17.44/4.67 |-Branch two:
% 17.44/4.67 | (2990) all_0_112_112 = e22 & all_0_132_132 = all_0_138_138
% 17.44/4.67 |
% 17.44/4.67 | Applying alpha-rule on (2990) yields:
% 17.44/4.67 | (2991) all_0_112_112 = e22
% 17.44/4.67 | (2962) all_0_132_132 = all_0_138_138
% 17.44/4.67 |
% 17.44/4.67 | Combining equations (3111,2991) yields a new equation:
% 17.44/4.67 | (547) e22 = e20
% 17.44/4.67 |
% 17.44/4.67 | Equations (547) can reduce 128 to:
% 17.44/4.67 | (397) $false
% 17.44/4.67 |
% 17.44/4.67 |-The branch is then unsatisfiable
% 17.44/4.67 |-Branch two:
% 17.44/4.67 | (2995) all_0_133_133 = e21 & all_0_136_136 = e23
% 17.44/4.67 |
% 17.44/4.67 | Applying alpha-rule on (2995) yields:
% 17.44/4.67 | (496) all_0_133_133 = e21
% 17.44/4.67 | (437) all_0_136_136 = e23
% 17.44/4.67 |
% 17.44/4.67 | Combining equations (573,496) yields a new equation:
% 17.44/4.67 | (523) e23 = e21
% 17.44/4.67 |
% 17.44/4.67 | Simplifying 523 yields:
% 17.44/4.67 | (455) e23 = e21
% 17.44/4.67 |
% 17.44/4.67 | Combining equations (437,434) yields a new equation:
% 17.44/4.67 | (2998) e23 = e20
% 17.44/4.67 |
% 17.44/4.67 | Simplifying 2998 yields:
% 17.44/4.67 | (442) e23 = e20
% 17.44/4.67 |
% 17.44/4.67 | Combining equations (442,455) yields a new equation:
% 17.44/4.67 | (450) e21 = e20
% 17.44/4.67 |
% 17.44/4.67 | Equations (450) can reduce 335 to:
% 17.44/4.67 | (397) $false
% 17.44/4.67 |
% 17.44/4.67 |-The branch is then unsatisfiable
% 17.44/4.67 |-Branch two:
% 17.44/4.67 | (3001) all_0_137_137 = e22 & all_0_138_138 = e20
% 17.44/4.67 |
% 17.44/4.67 | Applying alpha-rule on (3001) yields:
% 17.44/4.67 | (399) all_0_137_137 = e22
% 17.44/4.67 | (390) all_0_138_138 = e20
% 17.44/4.67 |
% 17.44/4.67 | Combining equations (390,561) yields a new equation:
% 17.44/4.67 | (547) e22 = e20
% 17.44/4.67 |
% 17.44/4.67 | Equations (547) can reduce 128 to:
% 17.44/4.67 | (397) $false
% 17.44/4.67 |
% 17.44/4.67 |-The branch is then unsatisfiable
% 17.44/4.67 |-Branch two:
% 17.44/4.67 | (400) ~ (all_0_129_129 = e22)
% 17.44/4.67 | (446) all_0_129_129 = e23
% 17.44/4.67 |
% 17.44/4.67 | Equations (446) can reduce 572 to:
% 17.44/4.67 | (397) $false
% 17.44/4.67 |
% 17.44/4.67 |-The branch is then unsatisfiable
% 17.44/4.67 |-Branch two:
% 17.44/4.67 | (492) ~ (all_0_126_126 = e21)
% 17.44/4.67 | (953) all_0_127_127 = e21 | all_0_128_128 = e21
% 17.44/4.67 |
% 17.44/4.67 +-Applying beta-rule and splitting (953), into two cases.
% 17.44/4.67 |-Branch one:
% 17.44/4.67 | (410) all_0_127_127 = e21
% 17.44/4.67 |
% 17.44/4.67 | Combining equations (422,410) yields a new equation:
% 17.44/4.67 | (523) e23 = e21
% 17.44/4.67 |
% 17.44/4.67 | Simplifying 523 yields:
% 17.44/4.67 | (455) e23 = e21
% 17.44/4.67 |
% 17.44/4.67 | Equations (455) can reduce 290 to:
% 17.44/4.67 | (397) $false
% 17.44/4.67 |
% 17.44/4.67 |-The branch is then unsatisfiable
% 17.44/4.67 |-Branch two:
% 17.44/4.67 | (403) ~ (all_0_127_127 = e21)
% 17.44/4.67 | (402) all_0_128_128 = e21
% 17.44/4.67 |
% 17.44/4.67 | Combining equations (449,402) yields a new equation:
% 17.44/4.67 | (450) e21 = e20
% 17.44/4.67 |
% 17.44/4.67 | Equations (450) can reduce 335 to:
% 17.44/4.67 | (397) $false
% 17.44/4.67 |
% 17.44/4.67 |-The branch is then unsatisfiable
% 17.44/4.67 |-Branch two:
% 17.44/4.67 | (658) all_0_132_132 = e20 & all_0_138_138 = e20
% 17.44/4.67 |
% 17.44/4.67 | Applying alpha-rule on (658) yields:
% 17.44/4.67 | (426) all_0_132_132 = e20
% 17.44/4.67 | (390) all_0_138_138 = e20
% 17.44/4.67 |
% 17.44/4.67 | Combining equations (390,561) yields a new equation:
% 17.44/4.67 | (547) e22 = e20
% 17.44/4.67 |
% 17.44/4.67 | Equations (547) can reduce 128 to:
% 17.44/4.67 | (397) $false
% 17.44/4.67 |
% 17.44/4.67 |-The branch is then unsatisfiable
% 17.44/4.67 |-Branch two:
% 17.44/4.67 | (392) ~ (all_0_130_130 = e20)
% 17.44/4.67 | (3321) all_0_131_131 = e20 | all_0_132_132 = e20
% 17.44/4.67 |
% 17.44/4.67 +-Applying beta-rule and splitting (3321), into two cases.
% 17.44/4.67 |-Branch one:
% 17.44/4.67 | (471) all_0_131_131 = e20
% 17.44/4.67 |
% 17.44/4.67 | Equations (471) can reduce 427 to:
% 17.44/4.67 | (397) $false
% 17.44/4.67 |
% 17.44/4.67 |-The branch is then unsatisfiable
% 17.44/4.67 |-Branch two:
% 17.44/4.67 | (427) ~ (all_0_131_131 = e20)
% 17.44/4.67 | (426) all_0_132_132 = e20
% 17.44/4.67 |
% 17.44/4.67 | Combining equations (582,426) yields a new equation:
% 17.44/4.67 | (2998) e23 = e20
% 17.44/4.67 |
% 17.44/4.67 | Simplifying 2998 yields:
% 17.44/4.67 | (442) e23 = e20
% 17.44/4.67 |
% 17.44/4.67 | Equations (442) can reduce 282 to:
% 17.44/4.67 | (397) $false
% 17.44/4.67 |
% 17.44/4.67 |-The branch is then unsatisfiable
% 17.44/4.67 |-Branch two:
% 17.44/4.67 | (393) ~ (all_0_137_137 = e20)
% 17.44/4.67 | (390) all_0_138_138 = e20
% 17.44/4.67 |
% 17.44/4.67 | Combining equations (561,390) yields a new equation:
% 17.44/4.67 | (546) e22 = e20
% 17.44/4.67 |
% 17.44/4.67 | Simplifying 546 yields:
% 17.44/4.67 | (547) e22 = e20
% 17.44/4.67 |
% 17.44/4.67 | Equations (547) can reduce 128 to:
% 17.44/4.67 | (397) $false
% 17.44/4.67 |
% 17.44/4.67 |-The branch is then unsatisfiable
% 17.44/4.67 % SZS output end Proof for theBenchmark
% 17.44/4.67
% 17.44/4.67 4019ms
%------------------------------------------------------------------------------