TSTP Solution File: ALG129+1 by ePrincess---1.0
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%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG129+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n029.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 15:35:17 EDT 2022
% Result : Theorem 7.19s 2.14s
% Output : Proof 15.29s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : ALG129+1 : TPTP v8.1.0. Released v2.7.0.
% 0.03/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.13/0.33 % Computer : n029.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 : Thu Jun 9 05:03:06 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.58/0.58 ____ _
% 0.58/0.58 ___ / __ \_____(_)___ ________ __________
% 0.58/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.58/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.58/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.58/0.58
% 0.58/0.58 A Theorem Prover for First-Order Logic
% 0.58/0.58 (ePrincess v.1.0)
% 0.58/0.58
% 0.58/0.58 (c) Philipp Rümmer, 2009-2015
% 0.58/0.58 (c) Peter Backeman, 2014-2015
% 0.58/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.58/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.58/0.58 Bug reports to peter@backeman.se
% 0.58/0.58
% 0.58/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.58/0.58
% 0.58/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.73/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.98/1.21 Prover 0: Preprocessing ...
% 5.18/1.73 Prover 0: Constructing countermodel ...
% 7.19/2.14 Prover 0: proved (1512ms)
% 7.19/2.14
% 7.19/2.14 No countermodel exists, formula is valid
% 7.19/2.14 % SZS status Theorem for theBenchmark
% 7.19/2.14
% 7.19/2.14 Generating proof ... found it (size 1662)
% 13.33/3.57
% 13.33/3.57 % SZS output start Proof for theBenchmark
% 13.33/3.57 Assumed formulas after preprocessing and simplification:
% 13.33/3.57 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : ? [v48] : ? [v49] : ? [v50] : ? [v51] : ? [v52] : ? [v53] : ? [v54] : ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : ? [v64] : ? [v65] : ? [v66] : ? [v67] : ? [v68] : ? [v69] : ? [v70] : ? [v71] : ? [v72] : ? [v73] : ? [v74] : ? [v75] : ? [v76] : ? [v77] : ? [v78] : ? [v79] : ? [v80] : ? [v81] : ? [v82] : ? [v83] : ? [v84] : ? [v85] : ? [v86] : ? [v87] : ? [v88] : ? [v89] : ? [v90] : ? [v91] : ? [v92] : ? [v93] : ? [v94] : ? [v95] : ? [v96] : ? [v97] : ? [v98] : ? [v99] : ? [v100] : ? [v101] : ? [v102] : ? [v103] : ? [v104] : ? [v105] : ? [v106] : ? [v107] : ? [v108] : ? [v109] : ? [v110] : ? [v111] : ? [v112] : ? [v113] : ? [v114] : ? [v115] : ? [v116] : ? [v117] : ? [v118] : ? [v119] : ? [v120] : ? [v121] : ? [v122] : ? [v123] : ? [v124] : ? [v125] : ? [v126] : ? [v127] : ? [v128] : ? [v129] : ? [v130] : ? [v131] : ? [v132] : ? [v133] : ? [v134] : ? [v135] : ? [v136] : ? [v137] : ? [v138] : ? [v139] : ? [v140] : ? [v141] : ? [v142] : ? [v143] : ? [v144] : ? [v145] : ? [v146] : ? [v147] : ? [v148] : ? [v149] : ( ~ (v25 = v24) & ~ (v25 = v22) & ~ (v25 = v18) & ~ (v25 = v14) & ~ (v25 = e22) & ~ (v25 = e21) & ~ (v24 = v21) & ~ (v24 = v17) & ~ (v24 = v13) & ~ (v24 = e22) & ~ (v24 = e21) & ~ (v23 = v22) & ~ (v23 = v21) & ~ (v23 = v20) & ~ (v23 = v19) & ~ (v23 = v15) & ~ (v23 = e21) & ~ (v22 = v21) & ~ (v22 = v20) & ~ (v22 = v18) & ~ (v22 = v14) & ~ (v21 = v20) & ~ (v21 = v17) & ~ (v21 = v13) & ~ (v20 = v16) & ~ (v20 = e23) & ~ (v20 = e22) & ~ (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v16) & ~ (v19 = v15) & ~ (v19 = e21) & ~ (v18 = v17) & ~ (v18 = v16) & ~ (v18 = v14) & ~ (v17 = v16) & ~ (v17 = v13) & ~ (v16 = e23) & ~ (v16 = e22) & ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = e23) & ~ (v15 = e21) & ~ (v14 = v13) & ~ (v14 = e23) & ~ (v13 = e23) & ~ (v12 = v11) & ~ (v12 = v9) & ~ (v12 = v5) & ~ (v12 = v1) & ~ (v12 = e12) & ~ (v12 = e11) & ~ (v11 = v8) & ~ (v11 = v4) & ~ (v11 = v0) & ~ (v11 = e12) & ~ (v11 = e11) & ~ (v10 = v9) & ~ (v10 = v8) & ~ (v10 = v7) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v10 = e11) & ~ (v9 = v8) & ~ (v9 = v7) & ~ (v9 = v5) & ~ (v9 = v1) & ~ (v8 = v7) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v7 = v3) & ~ (v7 = e13) & ~ (v7 = e12) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v3) & ~ (v6 = v2) & ~ (v6 = e11) & ~ (v5 = v4) & ~ (v5 = v3) & ~ (v5 = v1) & ~ (v4 = v3) & ~ (v4 = v0) & ~ (v3 = e13) & ~ (v3 = e12) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v2 = e13) & ~ (v2 = e11) & ~ (v1 = v0) & ~ (v1 = e13) & ~ (v0 = e13) & ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e23 = e13) & ~ (e23 = e12) & ~ (e23 = e11) & ~ (e23 = e10) & ~ (e22 = e21) & ~ (e22 = e20) & ~ (e22 = e13) & ~ (e22 = e12) & ~ (e22 = e11) & ~ (e22 = e10) & ~ (e21 = e20) & ~ (e21 = e13) & ~ (e21 = e12) & ~ (e21 = e11) & ~ (e21 = e10) & ~ (e20 = e13) & ~ (e20 = e12) & ~ (e20 = e11) & ~ (e20 = e10) & ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = e10) & ~ (e11 = e10) & op1(e13, v12) = v38 & op1(e13, v11) = v37 & op1(e13, e13) = e11 & op1(e13, e12) = v12 & op1(e13, e11) = v11 & op1(e13, e10) = e12 & op1(e12, v10) = v36 & op1(e12, v9) = v35 & op1(e12, v8) = v34 & op1(e12, v7) = v33 & op1(e12, e13) = v10 & op1(e12, e12) = v9 & op1(e12, e11) = v8 & op1(e12, e10) = v7 & op1(e11, v6) = v32 & op1(e11, v5) = v31 & op1(e11, v4) = v30 & op1(e11, v3) = v29 & op1(e11, e13) = v6 & op1(e11, e12) = v5 & op1(e11, e11) = v4 & op1(e11, e10) = v3 & op1(e10, v2) = v28 & op1(e10, v1) = v27 & op1(e10, v0) = v26 & op1(e10, e13) = v2 & op1(e10, e12) = v1 & op1(e10, e11) = v0 & op1(e10, e10) = e13 & h1(v12) = v68 & h1(v11) = v67 & h1(v10) = v66 & h1(v9) = v65 & h1(v8) = v64 & h1(v7) = v63 & h1(v6) = v62 & h1(v5) = v61 & h1(v4) = v60 & h1(v3) = v59 & h1(v2) = v58 & h1(v1) = v57 & h1(v0) = v56 & h1(e13) = e23 & h1(e12) = e22 & h1(e11) = e21 & h1(e10) = e20 & h2(v12) = v94 & h2(v11) = v92 & h2(v10) = v89 & 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) = v17 & h2(e12) = v53 & h2(e11) = v52 & h2(e10) = e21 & h3(v12) = v122 & h3(v11) = v120 & h3(v10) = v117 & 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) = v22 & h3(e12) = v55 & h3(e11) = v54 & h3(e10) = e22 & h4(v12) = v148 & h4(v11) = v146 & h4(v10) = v144 & h4(v9) = v142 & h4(v8) = v140 & h4(v7) = v138 & h4(v6) = v136 & h4(v5) = v134 & h4(v4) = v132 & h4(v3) = v130 & h4(v2) = v129 & h4(v1) = v127 & h4(v0) = v125 & h4(e13) = e21 & h4(e12) = v19 & h4(e11) = v17 & h4(e10) = e23 & op2(v55, v55) = v116 & op2(v55, v54) = v114 & op2(v55, v22) = v118 & op2(v55, e22) = v112 & op2(v54, v55) = v108 & op2(v54, v54) = v106 & op2(v54, v22) = v110 & op2(v54, e22) = v104 & op2(v53, v53) = v88 & op2(v53, v52) = v86 & op2(v53, v17) = v90 & op2(v53, e21) = v84 & op2(v52, v53) = v80 & op2(v52, v52) = v78 & op2(v52, v17) = v82 & op2(v52, e21) = v76 & op2(v22, v55) = v123 & op2(v22, v54) = v121 & op2(v22, v22) = v124 & op2(v22, v22) = v54 & op2(v22, e22) = v119 & op2(v22, e22) = v55 & op2(v19, v19) = v143 & op2(v19, v17) = v141 & op2(v19, e23) = v139 & op2(v19, e21) = v145 & op2(v17, v53) = v95 & op2(v17, v52) = v93 & op2(v17, v19) = v135 & op2(v17, v17) = v133 & op2(v17, v17) = v96 & op2(v17, v17) = v52 & op2(v17, e23) = v131 & op2(v17, e21) = v137 & op2(v17, e21) = v91 & op2(v17, e21) = v53 & op2(e23, v25) = v51 & op2(e23, v24) = v50 & op2(e23, v19) = v128 & op2(e23, v17) = v126 & op2(e23, e23) = e21 & op2(e23, e22) = v25 & op2(e23, e21) = v24 & op2(e23, e20) = e22 & op2(e22, v55) = v100 & op2(e22, v54) = v98 & op2(e22, v23) = v49 & op2(e22, v22) = v102 & op2(e22, v22) = v48 & op2(e22, v21) = v47 & op2(e22, v20) = v46 & op2(e22, e23) = v23 & op2(e22, e22) = v22 & op2(e22, e21) = v21 & op2(e22, e20) = v20 & op2(e21, v53) = v72 & op2(e21, v52) = v70 & op2(e21, v19) = v149 & op2(e21, v19) = v45 & op2(e21, v18) = v44 & op2(e21, v17) = v147 & op2(e21, v17) = v74 & op2(e21, v17) = v43 & op2(e21, v16) = v42 & op2(e21, e23) = v19 & op2(e21, e22) = v18 & op2(e21, e21) = v17 & op2(e21, e20) = v16 & op2(e20, v15) = v41 & op2(e20, v14) = v40 & op2(e20, v13) = v39 & op2(e20, e23) = v15 & op2(e20, e22) = v14 & op2(e20, e21) = v13 & op2(e20, e20) = e23 & ! [v150] : ! [v151] : ! [v152] : ! [v153] : (v151 = v150 | ~ (op1(v153, v152) = v151) | ~ (op1(v153, v152) = v150)) & ! [v150] : ! [v151] : ! [v152] : ! [v153] : (v151 = v150 | ~ (op2(v153, v152) = v151) | ~ (op2(v153, v152) = v150)) & ! [v150] : ! [v151] : ! [v152] : (v151 = v150 | ~ (h1(v152) = v151) | ~ (h1(v152) = v150)) & ! [v150] : ! [v151] : ! [v152] : (v151 = v150 | ~ (h2(v152) = v151) | ~ (h2(v152) = v150)) & ! [v150] : ! [v151] : ! [v152] : (v151 = v150 | ~ (h3(v152) = v151) | ~ (h3(v152) = v150)) & ! [v150] : ! [v151] : ! [v152] : (v151 = v150 | ~ (h4(v152) = v151) | ~ (h4(v152) = v150)) & ( ~ (v149 = v148) | ~ (v147 = v146) | ~ (v145 = v144) | ~ (v143 = v142) | ~ (v141 = v140) | ~ (v139 = v138) | ~ (v137 = v136) | ~ (v135 = v134) | ~ (v133 = v132) | ~ (v131 = v130) | ~ (v129 = v24) | ~ (v128 = v127) | ~ (v126 = v125) | ( ~ (v19 = e22) & ~ (v17 = e22)) | ( ~ (v19 = e20) & ~ (v17 = e20))) & ( ~ (v124 = v54) | ~ (v123 = v122) | ~ (v121 = v120) | ~ (v119 = v55) | ~ (v118 = v117) | ~ (v116 = v115) | ~ (v114 = v113) | ~ (v112 = v111) | ~ (v110 = v109) | ~ (v108 = v107) | ~ (v106 = v105) | ~ (v104 = v103) | ~ (v102 = v101) | ~ (v100 = v99) | ~ (v98 = v97) | ( ~ (v55 = e23) & ~ (v54 = e23) & ~ (v22 = e23)) | ( ~ (v55 = e21) & ~ (v54 = e21) & ~ (v22 = e21)) | ( ~ (v55 = e20) & ~ (v54 = e20) & ~ (v22 = e20))) & ( ~ (v96 = v52) | ~ (v95 = v94) | ~ (v93 = v92) | ~ (v91 = v53) | ~ (v90 = v89) | ~ (v88 = v87) | ~ (v86 = v85) | ~ (v84 = v83) | ~ (v82 = v81) | ~ (v80 = v79) | ~ (v78 = v77) | ~ (v76 = v75) | ~ (v74 = v73) | ~ (v72 = v71) | ~ (v70 = v69) | ( ~ (v53 = e23) & ~ (v52 = e23) & ~ (v17 = e23)) | ( ~ (v53 = e22) & ~ (v52 = e22) & ~ (v17 = e22)) | ( ~ (v53 = e20) & ~ (v52 = e20) & ~ (v17 = e20))) & ( ~ (v68 = v25) | ~ (v67 = v24) | ~ (v66 = v23) | ~ (v65 = v22) | ~ (v64 = v21) | ~ (v63 = v20) | ~ (v62 = v19) | ~ (v61 = v18) | ~ (v60 = v17) | ~ (v59 = v16) | ~ (v58 = v15) | ~ (v57 = v14) | ~ (v56 = v13)) & (v25 = e23 | v25 = e20) & (v25 = e23 | v24 = e23) & (v25 = e23 | v22 = e23 | v18 = e23) & (v25 = e20 | v24 = e20) & (v25 = e20 | v22 = e20 | v18 = e20 | v14 = e20) & (v24 = e23 | v24 = e20) & (v24 = e23 | v21 = e23 | v17 = e23) & (v24 = e20 | v21 = e20 | v17 = e20 | v13 = e20) & (v23 = e23 | v23 = e22 | v23 = e20) & (v23 = e23 | v22 = e23 | v21 = e23) & (v23 = e23 | v19 = e23) & (v23 = e22 | v22 = e22 | v21 = e22) & (v23 = e22 | v19 = e22 | v15 = e22) & (v23 = e20 | v22 = e20 | v21 = e20 | v20 = e20) & (v23 = e20 | v19 = e20 | v15 = e20) & (v22 = e23 | v22 = e22 | v22 = e21 | v22 = e20) & (v22 = e22 | v18 = e22 | v14 = e22) & (v22 = e21 | v21 = e21 | v20 = e21) & (v22 = e21 | v18 = e21 | v14 = e21) & (v21 = e23 | v21 = e22 | v21 = e21 | v21 = e20) & (v21 = e22 | v17 = e22 | v13 = e22) & (v21 = e21 | v17 = e21 | v13 = e21) & (v20 = e21 | v20 = e20) & (v20 = e21 | v16 = e21) & (v20 = e20 | v16 = e20) & (v19 = e23 | v19 = e22 | v19 = e20) & (v19 = e23 | v18 = e23 | v17 = e23) & (v19 = e22 | v18 = e22 | v17 = e22) & (v19 = e20 | v18 = e20 | v17 = e20 | v16 = e20) & (v18 = e23 | v18 = e22 | v18 = e21 | v18 = e20) & (v18 = e21 | v17 = e21 | v16 = e21) & (v17 = e23 | v17 = e22 | v17 = e21 | v17 = e20) & (v16 = e21 | v16 = e20) & (v15 = e22 | v15 = e20) & (v15 = e22 | v14 = e22 | v13 = e22) & (v15 = e20 | v14 = e20 | v13 = e20) & (v14 = e22 | v14 = e21 | v14 = e20) & (v14 = e21 | v13 = e21) & (v13 = e22 | v13 = e21 | v13 = e20) & (v12 = e13 | v12 = e10) & (v12 = e13 | v11 = e13) & (v12 = e13 | v9 = e13 | v5 = e13) & (v12 = e10 | v11 = e10) & (v12 = e10 | v9 = e10 | v5 = e10 | v1 = e10) & (v11 = e13 | v11 = e10) & (v11 = e13 | v8 = e13 | v4 = e13) & (v11 = e10 | v8 = e10 | v4 = e10 | v0 = e10) & (v10 = e13 | v10 = e12 | v10 = e10) & (v10 = e13 | v9 = e13 | v8 = e13) & (v10 = e13 | v6 = e13) & (v10 = e12 | v9 = e12 | v8 = e12) & (v10 = e12 | v6 = e12 | v2 = e12) & (v10 = e10 | v9 = e10 | v8 = e10 | v7 = e10) & (v10 = e10 | v6 = e10 | v2 = e10) & (v9 = e13 | v9 = e12 | v9 = e11 | v9 = e10) & (v9 = e12 | v5 = e12 | v1 = e12) & (v9 = e11 | v8 = e11 | v7 = e11) & (v9 = e11 | v5 = e11 | v1 = e11) & (v8 = e13 | v8 = e12 | v8 = e11 | v8 = e10) & (v8 = e12 | v4 = e12 | v0 = e12) & (v8 = e11 | v4 = e11 | v0 = e11) & (v7 = e11 | v7 = e10) & (v7 = e11 | v3 = e11) & (v7 = e10 | v3 = e10) & (v6 = e13 | v6 = e12 | v6 = e10) & (v6 = e13 | v5 = e13 | v4 = e13) & (v6 = e12 | v5 = e12 | v4 = e12) & (v6 = e10 | v5 = e10 | v4 = e10 | v3 = e10) & (v5 = e13 | v5 = e12 | v5 = e11 | v5 = e10) & (v5 = e11 | v4 = e11 | v3 = e11) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 = e10) & (v3 = e11 | v3 = e10) & (v2 = e12 | v2 = e10) & (v2 = e12 | v1 = e12 | v0 = e12) & (v2 = e10 | v1 = e10 | v0 = e10) & (v1 = e12 | v1 = e11 | v1 = e10) & (v1 = e11 | v0 = e11) & (v0 = e12 | v0 = e11 | v0 = e10) & ((v51 = e22 & v50 = e21 & v25 = e20 & v24 = e23 & v15 = e20 & ~ (v17 = e23) & ( ~ (v22 = e23) | v23 = e22)) | (v49 = e23 & v48 = e22 & v47 = e21 & v46 = e20 & ( ~ (v17 = e22) | v18 = e21)) | (v45 = e23 & v44 = e22 & v43 = e21 & v42 = e20 & v24 = e23 & ( ~ (v22 = e21) | v21 = e22)) | (v41 = e23 & v40 = e22 & v39 = e21 & v15 = e20 & ~ (v22 = e20) & ( ~ (v17 = e20) | v16 = e21))) & ((v38 = e12 & v37 = e11 & v12 = e10 & v11 = e13 & v2 = e10 & ~ (v4 = e13) & ( ~ (v9 = e13) | v10 = e12)) | (v36 = e13 & v35 = e12 & v34 = e11 & v33 = e10 & ( ~ (v4 = e12) | v5 = e11)) | (v32 = e13 & v31 = e12 & v30 = e11 & v29 = e10 & v11 = e13 & ( ~ (v9 = e11) | v8 = e12)) | (v28 = e13 & v27 = e12 & v26 = e11 & v2 = e10 & ~ (v9 = e10) & ( ~ (v4 = e10) | v3 = e11))) & ((v25 = e23 & v17 = e22 & ~ (v18 = e21)) | (v23 = e22 & v17 = e23 & ~ (v22 = e23)) | (v23 = e22 & ~ (v22 = e23) & ~ (v15 = e20)) | (v22 = e21 & v13 = e20 & ~ (v21 = e22)) | (v22 = e20 & v16 = e21 & ~ (v17 = e20)) | (v21 = e22 & ~ (v24 = e23) & ~ (v22 = e21)) | (v17 = e22 & v14 = e20 & ~ (v18 = e21)) | (v13 = e20 & ~ (v24 = e23))) & ((v12 = e13 & v4 = e12 & ~ (v5 = e11)) | (v10 = e12 & v4 = e13 & ~ (v9 = e13)) | (v10 = e12 & ~ (v9 = e13) & ~ (v2 = e10)) | (v9 = e11 & v0 = e10 & ~ (v8 = e12)) | (v9 = e10 & v3 = e11 & ~ (v4 = e10)) | (v8 = e12 & ~ (v11 = e13) & ~ (v9 = e11)) | (v4 = e12 & v1 = e10 & ~ (v5 = e11)) | (v0 = e10 & ~ (v11 = e13))))
% 13.56/3.64 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18, all_0_19_19, all_0_20_20, all_0_21_21, all_0_22_22, all_0_23_23, all_0_24_24, all_0_25_25, all_0_26_26, all_0_27_27, all_0_28_28, all_0_29_29, all_0_30_30, all_0_31_31, all_0_32_32, all_0_33_33, all_0_34_34, all_0_35_35, all_0_36_36, all_0_37_37, all_0_38_38, all_0_39_39, all_0_40_40, all_0_41_41, all_0_42_42, all_0_43_43, all_0_44_44, all_0_45_45, all_0_46_46, all_0_47_47, all_0_48_48, all_0_49_49, all_0_50_50, all_0_51_51, all_0_52_52, all_0_53_53, all_0_54_54, all_0_55_55, all_0_56_56, all_0_57_57, all_0_58_58, all_0_59_59, all_0_60_60, all_0_61_61, all_0_62_62, all_0_63_63, all_0_64_64, all_0_65_65, all_0_66_66, all_0_67_67, all_0_68_68, all_0_69_69, all_0_70_70, all_0_71_71, all_0_72_72, all_0_73_73, all_0_74_74, all_0_75_75, all_0_76_76, all_0_77_77, all_0_78_78, all_0_79_79, all_0_80_80, all_0_81_81, all_0_82_82, all_0_83_83, all_0_84_84, all_0_85_85, all_0_86_86, all_0_87_87, all_0_88_88, all_0_89_89, all_0_90_90, all_0_91_91, all_0_92_92, all_0_93_93, all_0_94_94, all_0_95_95, all_0_96_96, all_0_97_97, all_0_98_98, all_0_99_99, all_0_100_100, all_0_101_101, all_0_102_102, all_0_103_103, all_0_104_104, all_0_105_105, all_0_106_106, all_0_107_107, all_0_108_108, all_0_109_109, all_0_110_110, all_0_111_111, all_0_112_112, all_0_113_113, all_0_114_114, all_0_115_115, all_0_116_116, all_0_117_117, all_0_118_118, all_0_119_119, all_0_120_120, all_0_121_121, all_0_122_122, all_0_123_123, all_0_124_124, all_0_125_125, all_0_126_126, all_0_127_127, all_0_128_128, all_0_129_129, all_0_130_130, all_0_131_131, all_0_132_132, all_0_133_133, all_0_134_134, all_0_135_135, all_0_136_136, all_0_137_137, all_0_138_138, all_0_139_139, all_0_140_140, all_0_141_141, all_0_142_142, all_0_143_143, all_0_144_144, all_0_145_145, all_0_146_146, all_0_147_147, all_0_148_148, all_0_149_149 yields:
% 13.56/3.64 | (1) ~ (all_0_124_124 = all_0_125_125) & ~ (all_0_124_124 = all_0_127_127) & ~ (all_0_124_124 = all_0_131_131) & ~ (all_0_124_124 = all_0_135_135) & ~ (all_0_124_124 = e22) & ~ (all_0_124_124 = e21) & ~ (all_0_125_125 = all_0_128_128) & ~ (all_0_125_125 = all_0_132_132) & ~ (all_0_125_125 = all_0_136_136) & ~ (all_0_125_125 = e22) & ~ (all_0_125_125 = e21) & ~ (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_130_130) & ~ (all_0_126_126 = all_0_134_134) & ~ (all_0_126_126 = e21) & ~ (all_0_127_127 = all_0_128_128) & ~ (all_0_127_127 = all_0_129_129) & ~ (all_0_127_127 = all_0_131_131) & ~ (all_0_127_127 = all_0_135_135) & ~ (all_0_128_128 = all_0_129_129) & ~ (all_0_128_128 = all_0_132_132) & ~ (all_0_128_128 = all_0_136_136) & ~ (all_0_129_129 = all_0_133_133) & ~ (all_0_129_129 = e23) & ~ (all_0_129_129 = e22) & ~ (all_0_130_130 = all_0_131_131) & ~ (all_0_130_130 = all_0_132_132) & ~ (all_0_130_130 = all_0_133_133) & ~ (all_0_130_130 = all_0_134_134) & ~ (all_0_130_130 = e21) & ~ (all_0_131_131 = all_0_132_132) & ~ (all_0_131_131 = all_0_133_133) & ~ (all_0_131_131 = all_0_135_135) & ~ (all_0_132_132 = all_0_133_133) & ~ (all_0_132_132 = all_0_136_136) & ~ (all_0_133_133 = e23) & ~ (all_0_133_133 = e22) & ~ (all_0_134_134 = all_0_135_135) & ~ (all_0_134_134 = all_0_136_136) & ~ (all_0_134_134 = e23) & ~ (all_0_134_134 = e21) & ~ (all_0_135_135 = all_0_136_136) & ~ (all_0_135_135 = e23) & ~ (all_0_136_136 = e23) & ~ (all_0_137_137 = all_0_138_138) & ~ (all_0_137_137 = all_0_140_140) & ~ (all_0_137_137 = all_0_144_144) & ~ (all_0_137_137 = all_0_148_148) & ~ (all_0_137_137 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = all_0_141_141) & ~ (all_0_138_138 = all_0_145_145) & ~ (all_0_138_138 = all_0_149_149) & ~ (all_0_138_138 = e12) & ~ (all_0_138_138 = e11) & ~ (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_143_143) & ~ (all_0_139_139 = all_0_147_147) & ~ (all_0_139_139 = e11) & ~ (all_0_140_140 = all_0_141_141) & ~ (all_0_140_140 = all_0_142_142) & ~ (all_0_140_140 = all_0_144_144) & ~ (all_0_140_140 = all_0_148_148) & ~ (all_0_141_141 = all_0_142_142) & ~ (all_0_141_141 = all_0_145_145) & ~ (all_0_141_141 = all_0_149_149) & ~ (all_0_142_142 = all_0_146_146) & ~ (all_0_142_142 = e13) & ~ (all_0_142_142 = e12) & ~ (all_0_143_143 = all_0_144_144) & ~ (all_0_143_143 = all_0_145_145) & ~ (all_0_143_143 = all_0_146_146) & ~ (all_0_143_143 = all_0_147_147) & ~ (all_0_143_143 = e11) & ~ (all_0_144_144 = all_0_145_145) & ~ (all_0_144_144 = all_0_146_146) & ~ (all_0_144_144 = all_0_148_148) & ~ (all_0_145_145 = all_0_146_146) & ~ (all_0_145_145 = all_0_149_149) & ~ (all_0_146_146 = e13) & ~ (all_0_146_146 = e12) & ~ (all_0_147_147 = all_0_148_148) & ~ (all_0_147_147 = all_0_149_149) & ~ (all_0_147_147 = e13) & ~ (all_0_147_147 = e11) & ~ (all_0_148_148 = all_0_149_149) & ~ (all_0_148_148 = e13) & ~ (all_0_149_149 = e13) & ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e23 = e13) & ~ (e23 = e12) & ~ (e23 = e11) & ~ (e23 = e10) & ~ (e22 = e21) & ~ (e22 = e20) & ~ (e22 = e13) & ~ (e22 = e12) & ~ (e22 = e11) & ~ (e22 = e10) & ~ (e21 = e20) & ~ (e21 = e13) & ~ (e21 = e12) & ~ (e21 = e11) & ~ (e21 = e10) & ~ (e20 = e13) & ~ (e20 = e12) & ~ (e20 = e11) & ~ (e20 = e10) & ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = e10) & ~ (e11 = e10) & op1(e13, all_0_137_137) = all_0_111_111 & op1(e13, all_0_138_138) = all_0_112_112 & op1(e13, e13) = e11 & op1(e13, e12) = all_0_137_137 & op1(e13, e11) = all_0_138_138 & op1(e13, e10) = e12 & op1(e12, all_0_139_139) = all_0_113_113 & op1(e12, all_0_140_140) = all_0_114_114 & op1(e12, all_0_141_141) = all_0_115_115 & op1(e12, all_0_142_142) = all_0_116_116 & op1(e12, e13) = all_0_139_139 & op1(e12, e12) = all_0_140_140 & op1(e12, e11) = all_0_141_141 & op1(e12, e10) = all_0_142_142 & op1(e11, all_0_143_143) = all_0_117_117 & op1(e11, all_0_144_144) = all_0_118_118 & op1(e11, all_0_145_145) = all_0_119_119 & op1(e11, all_0_146_146) = all_0_120_120 & op1(e11, e13) = all_0_143_143 & op1(e11, e12) = all_0_144_144 & op1(e11, e11) = all_0_145_145 & op1(e11, e10) = all_0_146_146 & op1(e10, all_0_147_147) = all_0_121_121 & op1(e10, all_0_148_148) = all_0_122_122 & op1(e10, all_0_149_149) = all_0_123_123 & op1(e10, e13) = all_0_147_147 & op1(e10, e12) = all_0_148_148 & op1(e10, e11) = all_0_149_149 & op1(e10, e10) = e13 & h1(all_0_137_137) = all_0_81_81 & h1(all_0_138_138) = all_0_82_82 & h1(all_0_139_139) = all_0_83_83 & h1(all_0_140_140) = all_0_84_84 & h1(all_0_141_141) = all_0_85_85 & h1(all_0_142_142) = all_0_86_86 & h1(all_0_143_143) = all_0_87_87 & h1(all_0_144_144) = all_0_88_88 & h1(all_0_145_145) = all_0_89_89 & h1(all_0_146_146) = all_0_90_90 & h1(all_0_147_147) = all_0_91_91 & h1(all_0_148_148) = all_0_92_92 & h1(all_0_149_149) = all_0_93_93 & h1(e13) = e23 & h1(e12) = e22 & h1(e11) = e21 & h1(e10) = e20 & h2(all_0_137_137) = all_0_55_55 & h2(all_0_138_138) = all_0_57_57 & h2(all_0_139_139) = all_0_60_60 & h2(all_0_140_140) = all_0_62_62 & h2(all_0_141_141) = all_0_64_64 & h2(all_0_142_142) = all_0_66_66 & h2(all_0_143_143) = all_0_68_68 & h2(all_0_144_144) = all_0_70_70 & h2(all_0_145_145) = all_0_72_72 & h2(all_0_146_146) = all_0_74_74 & h2(all_0_147_147) = all_0_76_76 & h2(all_0_148_148) = all_0_78_78 & h2(all_0_149_149) = all_0_80_80 & h2(e13) = all_0_132_132 & h2(e12) = all_0_96_96 & h2(e11) = all_0_97_97 & h2(e10) = e21 & h3(all_0_137_137) = all_0_27_27 & h3(all_0_138_138) = all_0_29_29 & h3(all_0_139_139) = all_0_32_32 & h3(all_0_140_140) = all_0_34_34 & h3(all_0_141_141) = all_0_36_36 & h3(all_0_142_142) = all_0_38_38 & h3(all_0_143_143) = all_0_40_40 & h3(all_0_144_144) = all_0_42_42 & h3(all_0_145_145) = all_0_44_44 & h3(all_0_146_146) = all_0_46_46 & h3(all_0_147_147) = all_0_48_48 & h3(all_0_148_148) = all_0_50_50 & h3(all_0_149_149) = all_0_52_52 & h3(e13) = all_0_127_127 & h3(e12) = all_0_94_94 & h3(e11) = all_0_95_95 & h3(e10) = e22 & h4(all_0_137_137) = all_0_1_1 & h4(all_0_138_138) = all_0_3_3 & h4(all_0_139_139) = all_0_5_5 & h4(all_0_140_140) = all_0_7_7 & h4(all_0_141_141) = all_0_9_9 & h4(all_0_142_142) = all_0_11_11 & h4(all_0_143_143) = all_0_13_13 & h4(all_0_144_144) = all_0_15_15 & h4(all_0_145_145) = all_0_17_17 & h4(all_0_146_146) = all_0_19_19 & h4(all_0_147_147) = all_0_20_20 & h4(all_0_148_148) = all_0_22_22 & h4(all_0_149_149) = all_0_24_24 & h4(e13) = e21 & h4(e12) = all_0_130_130 & h4(e11) = all_0_132_132 & h4(e10) = e23 & op2(all_0_94_94, all_0_94_94) = all_0_33_33 & op2(all_0_94_94, all_0_95_95) = all_0_35_35 & op2(all_0_94_94, all_0_127_127) = all_0_31_31 & op2(all_0_94_94, e22) = all_0_37_37 & op2(all_0_95_95, all_0_94_94) = all_0_41_41 & op2(all_0_95_95, all_0_95_95) = all_0_43_43 & op2(all_0_95_95, all_0_127_127) = all_0_39_39 & op2(all_0_95_95, e22) = all_0_45_45 & op2(all_0_96_96, all_0_96_96) = all_0_61_61 & op2(all_0_96_96, all_0_97_97) = all_0_63_63 & op2(all_0_96_96, all_0_132_132) = all_0_59_59 & op2(all_0_96_96, e21) = all_0_65_65 & op2(all_0_97_97, all_0_96_96) = all_0_69_69 & op2(all_0_97_97, all_0_97_97) = all_0_71_71 & op2(all_0_97_97, all_0_132_132) = all_0_67_67 & op2(all_0_97_97, e21) = all_0_73_73 & op2(all_0_127_127, all_0_94_94) = all_0_26_26 & op2(all_0_127_127, all_0_95_95) = all_0_28_28 & op2(all_0_127_127, all_0_127_127) = all_0_25_25 & op2(all_0_127_127, all_0_127_127) = all_0_95_95 & op2(all_0_127_127, e22) = all_0_30_30 & op2(all_0_127_127, e22) = all_0_94_94 & op2(all_0_130_130, all_0_130_130) = all_0_6_6 & op2(all_0_130_130, all_0_132_132) = all_0_8_8 & op2(all_0_130_130, e23) = all_0_10_10 & op2(all_0_130_130, e21) = all_0_4_4 & op2(all_0_132_132, all_0_96_96) = all_0_54_54 & op2(all_0_132_132, all_0_97_97) = all_0_56_56 & op2(all_0_132_132, all_0_130_130) = all_0_14_14 & op2(all_0_132_132, all_0_132_132) = all_0_16_16 & op2(all_0_132_132, all_0_132_132) = all_0_53_53 & op2(all_0_132_132, all_0_132_132) = all_0_97_97 & op2(all_0_132_132, e23) = all_0_18_18 & op2(all_0_132_132, e21) = all_0_12_12 & op2(all_0_132_132, e21) = all_0_58_58 & op2(all_0_132_132, e21) = all_0_96_96 & op2(e23, all_0_124_124) = all_0_98_98 & op2(e23, all_0_125_125) = all_0_99_99 & op2(e23, all_0_130_130) = all_0_21_21 & op2(e23, all_0_132_132) = all_0_23_23 & op2(e23, e23) = e21 & op2(e23, e22) = all_0_124_124 & op2(e23, e21) = all_0_125_125 & op2(e23, e20) = e22 & op2(e22, all_0_94_94) = all_0_49_49 & op2(e22, all_0_95_95) = all_0_51_51 & op2(e22, all_0_126_126) = all_0_100_100 & op2(e22, all_0_127_127) = all_0_47_47 & op2(e22, all_0_127_127) = all_0_101_101 & op2(e22, all_0_128_128) = all_0_102_102 & op2(e22, all_0_129_129) = all_0_103_103 & op2(e22, e23) = all_0_126_126 & op2(e22, e22) = all_0_127_127 & op2(e22, e21) = all_0_128_128 & op2(e22, e20) = all_0_129_129 & op2(e21, all_0_96_96) = all_0_77_77 & op2(e21, all_0_97_97) = all_0_79_79 & op2(e21, all_0_130_130) = all_0_0_0 & op2(e21, all_0_130_130) = all_0_104_104 & op2(e21, all_0_131_131) = all_0_105_105 & op2(e21, all_0_132_132) = all_0_2_2 & op2(e21, all_0_132_132) = all_0_75_75 & op2(e21, all_0_132_132) = all_0_106_106 & op2(e21, all_0_133_133) = all_0_107_107 & op2(e21, e23) = all_0_130_130 & op2(e21, e22) = all_0_131_131 & op2(e21, e21) = all_0_132_132 & op2(e21, e20) = all_0_133_133 & op2(e20, all_0_134_134) = all_0_108_108 & op2(e20, all_0_135_135) = all_0_109_109 & op2(e20, all_0_136_136) = all_0_110_110 & op2(e20, e23) = all_0_134_134 & op2(e20, e22) = all_0_135_135 & op2(e20, e21) = all_0_136_136 & op2(e20, e20) = e23 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0)) & ( ~ (all_0_0_0 = all_0_1_1) | ~ (all_0_2_2 = all_0_3_3) | ~ (all_0_4_4 = all_0_5_5) | ~ (all_0_6_6 = all_0_7_7) | ~ (all_0_8_8 = all_0_9_9) | ~ (all_0_10_10 = all_0_11_11) | ~ (all_0_12_12 = all_0_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_125_125) | ~ (all_0_21_21 = all_0_22_22) | ~ (all_0_23_23 = all_0_24_24) | ( ~ (all_0_130_130 = e22) & ~ (all_0_132_132 = e22)) | ( ~ (all_0_130_130 = e20) & ~ (all_0_132_132 = e20))) & ( ~ (all_0_25_25 = all_0_95_95) | ~ (all_0_26_26 = all_0_27_27) | ~ (all_0_28_28 = all_0_29_29) | ~ (all_0_30_30 = all_0_94_94) | ~ (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_94_94 = e23) & ~ (all_0_95_95 = e23) & ~ (all_0_127_127 = e23)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_127_127 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_127_127 = e20))) & ( ~ (all_0_53_53 = all_0_97_97) | ~ (all_0_54_54 = all_0_55_55) | ~ (all_0_56_56 = all_0_57_57) | ~ (all_0_58_58 = all_0_96_96) | ~ (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_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_132_132 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_132_132 = e22)) | ( ~ (all_0_96_96 = e20) & ~ (all_0_97_97 = e20) & ~ (all_0_132_132 = e20))) & ( ~ (all_0_81_81 = all_0_124_124) | ~ (all_0_82_82 = all_0_125_125) | ~ (all_0_83_83 = all_0_126_126) | ~ (all_0_84_84 = all_0_127_127) | ~ (all_0_85_85 = all_0_128_128) | ~ (all_0_86_86 = all_0_129_129) | ~ (all_0_87_87 = all_0_130_130) | ~ (all_0_88_88 = all_0_131_131) | ~ (all_0_89_89 = all_0_132_132) | ~ (all_0_90_90 = all_0_133_133) | ~ (all_0_91_91 = all_0_134_134) | ~ (all_0_92_92 = all_0_135_135) | ~ (all_0_93_93 = all_0_136_136)) & (all_0_124_124 = e23 | all_0_124_124 = e20) & (all_0_124_124 = e23 | all_0_125_125 = e23) & (all_0_124_124 = e23 | all_0_127_127 = e23 | all_0_131_131 = e23) & (all_0_124_124 = e20 | all_0_125_125 = e20) & (all_0_124_124 = e20 | all_0_127_127 = e20 | all_0_131_131 = e20 | all_0_135_135 = e20) & (all_0_125_125 = e23 | all_0_125_125 = e20) & (all_0_125_125 = e23 | all_0_128_128 = e23 | all_0_132_132 = e23) & (all_0_125_125 = e20 | all_0_128_128 = e20 | all_0_132_132 = e20 | all_0_136_136 = e20) & (all_0_126_126 = e23 | all_0_126_126 = e22 | all_0_126_126 = e20) & (all_0_126_126 = e23 | all_0_127_127 = e23 | all_0_128_128 = e23) & (all_0_126_126 = e23 | all_0_130_130 = e23) & (all_0_126_126 = e22 | all_0_127_127 = e22 | all_0_128_128 = e22) & (all_0_126_126 = e22 | all_0_130_130 = e22 | all_0_134_134 = e22) & (all_0_126_126 = e20 | all_0_127_127 = e20 | all_0_128_128 = e20 | all_0_129_129 = e20) & (all_0_126_126 = e20 | all_0_130_130 = e20 | all_0_134_134 = e20) & (all_0_127_127 = e23 | all_0_127_127 = e22 | all_0_127_127 = e21 | all_0_127_127 = e20) & (all_0_127_127 = e22 | all_0_131_131 = e22 | all_0_135_135 = e22) & (all_0_127_127 = e21 | all_0_128_128 = e21 | all_0_129_129 = e21) & (all_0_127_127 = e21 | all_0_131_131 = e21 | all_0_135_135 = e21) & (all_0_128_128 = e23 | all_0_128_128 = e22 | all_0_128_128 = e21 | all_0_128_128 = e20) & (all_0_128_128 = e22 | all_0_132_132 = e22 | all_0_136_136 = e22) & (all_0_128_128 = e21 | all_0_132_132 = e21 | all_0_136_136 = e21) & (all_0_129_129 = e21 | all_0_129_129 = e20) & (all_0_129_129 = e21 | all_0_133_133 = e21) & (all_0_129_129 = e20 | all_0_133_133 = e20) & (all_0_130_130 = e23 | all_0_130_130 = e22 | all_0_130_130 = e20) & (all_0_130_130 = e23 | all_0_131_131 = e23 | all_0_132_132 = e23) & (all_0_130_130 = e22 | all_0_131_131 = e22 | all_0_132_132 = e22) & (all_0_130_130 = e20 | all_0_131_131 = e20 | all_0_132_132 = e20 | all_0_133_133 = e20) & (all_0_131_131 = e23 | all_0_131_131 = e22 | all_0_131_131 = e21 | all_0_131_131 = e20) & (all_0_131_131 = e21 | all_0_132_132 = e21 | all_0_133_133 = e21) & (all_0_132_132 = e23 | all_0_132_132 = e22 | all_0_132_132 = e21 | all_0_132_132 = e20) & (all_0_133_133 = e21 | all_0_133_133 = e20) & (all_0_134_134 = e22 | all_0_134_134 = e20) & (all_0_134_134 = e22 | all_0_135_135 = e22 | all_0_136_136 = e22) & (all_0_134_134 = e20 | all_0_135_135 = e20 | all_0_136_136 = e20) & (all_0_135_135 = e22 | all_0_135_135 = e21 | all_0_135_135 = e20) & (all_0_135_135 = e21 | all_0_136_136 = e21) & (all_0_136_136 = e22 | all_0_136_136 = e21 | all_0_136_136 = e20) & (all_0_137_137 = e13 | all_0_137_137 = e10) & (all_0_137_137 = e13 | all_0_138_138 = e13) & (all_0_137_137 = e13 | all_0_140_140 = e13 | all_0_144_144 = e13) & (all_0_137_137 = e10 | all_0_138_138 = e10) & (all_0_137_137 = e10 | all_0_140_140 = e10 | all_0_144_144 = e10 | all_0_148_148 = e10) & (all_0_138_138 = e13 | all_0_138_138 = e10) & (all_0_138_138 = e13 | all_0_141_141 = e13 | all_0_145_145 = e13) & (all_0_138_138 = e10 | all_0_141_141 = e10 | all_0_145_145 = e10 | all_0_149_149 = e10) & (all_0_139_139 = e13 | all_0_139_139 = e12 | all_0_139_139 = e10) & (all_0_139_139 = e13 | all_0_140_140 = e13 | all_0_141_141 = e13) & (all_0_139_139 = e13 | all_0_143_143 = e13) & (all_0_139_139 = e12 | all_0_140_140 = e12 | all_0_141_141 = e12) & (all_0_139_139 = e12 | all_0_143_143 = e12 | all_0_147_147 = e12) & (all_0_139_139 = e10 | all_0_140_140 = e10 | all_0_141_141 = e10 | all_0_142_142 = e10) & (all_0_139_139 = e10 | all_0_143_143 = e10 | all_0_147_147 = e10) & (all_0_140_140 = e13 | all_0_140_140 = e12 | all_0_140_140 = e11 | all_0_140_140 = e10) & (all_0_140_140 = e12 | all_0_144_144 = e12 | all_0_148_148 = e12) & (all_0_140_140 = e11 | all_0_141_141 = e11 | all_0_142_142 = e11) & (all_0_140_140 = e11 | all_0_144_144 = e11 | all_0_148_148 = e11) & (all_0_141_141 = e13 | all_0_141_141 = e12 | all_0_141_141 = e11 | all_0_141_141 = e10) & (all_0_141_141 = e12 | all_0_145_145 = e12 | all_0_149_149 = e12) & (all_0_141_141 = e11 | all_0_145_145 = e11 | all_0_149_149 = e11) & (all_0_142_142 = e11 | all_0_142_142 = e10) & (all_0_142_142 = e11 | all_0_146_146 = e11) & (all_0_142_142 = e10 | all_0_146_146 = e10) & (all_0_143_143 = e13 | all_0_143_143 = e12 | all_0_143_143 = e10) & (all_0_143_143 = e13 | all_0_144_144 = e13 | all_0_145_145 = e13) & (all_0_143_143 = e12 | all_0_144_144 = e12 | all_0_145_145 = e12) & (all_0_143_143 = e10 | all_0_144_144 = e10 | all_0_145_145 = e10 | all_0_146_146 = e10) & (all_0_144_144 = e13 | all_0_144_144 = e12 | all_0_144_144 = e11 | all_0_144_144 = e10) & (all_0_144_144 = e11 | all_0_145_145 = e11 | all_0_146_146 = e11) & (all_0_145_145 = e13 | all_0_145_145 = e12 | all_0_145_145 = e11 | all_0_145_145 = e10) & (all_0_146_146 = e11 | all_0_146_146 = e10) & (all_0_147_147 = e12 | all_0_147_147 = e10) & (all_0_147_147 = e12 | all_0_148_148 = e12 | all_0_149_149 = e12) & (all_0_147_147 = e10 | all_0_148_148 = e10 | all_0_149_149 = e10) & (all_0_148_148 = e12 | all_0_148_148 = e11 | all_0_148_148 = e10) & (all_0_148_148 = e11 | all_0_149_149 = e11) & (all_0_149_149 = e12 | all_0_149_149 = e11 | all_0_149_149 = e10) & ((all_0_98_98 = e22 & all_0_99_99 = e21 & all_0_124_124 = e20 & all_0_125_125 = e23 & all_0_134_134 = e20 & ~ (all_0_132_132 = e23) & ( ~ (all_0_127_127 = e23) | all_0_126_126 = e22)) | (all_0_100_100 = e23 & all_0_101_101 = e22 & all_0_102_102 = e21 & all_0_103_103 = e20 & ( ~ (all_0_132_132 = e22) | all_0_131_131 = e21)) | (all_0_104_104 = e23 & all_0_105_105 = e22 & all_0_106_106 = e21 & all_0_107_107 = e20 & all_0_125_125 = e23 & ( ~ (all_0_127_127 = e21) | all_0_128_128 = e22)) | (all_0_108_108 = e23 & all_0_109_109 = e22 & all_0_110_110 = e21 & all_0_134_134 = e20 & ~ (all_0_127_127 = e20) & ( ~ (all_0_132_132 = e20) | all_0_133_133 = e21))) & ((all_0_111_111 = e12 & all_0_112_112 = e11 & all_0_137_137 = e10 & all_0_138_138 = e13 & all_0_147_147 = e10 & ~ (all_0_145_145 = e13) & ( ~ (all_0_140_140 = e13) | all_0_139_139 = e12)) | (all_0_113_113 = e13 & all_0_114_114 = e12 & all_0_115_115 = e11 & all_0_116_116 = e10 & ( ~ (all_0_145_145 = e12) | all_0_144_144 = e11)) | (all_0_117_117 = e13 & all_0_118_118 = e12 & all_0_119_119 = e11 & all_0_120_120 = e10 & all_0_138_138 = e13 & ( ~ (all_0_140_140 = e11) | all_0_141_141 = e12)) | (all_0_121_121 = e13 & all_0_122_122 = e12 & all_0_123_123 = e11 & all_0_147_147 = e10 & ~ (all_0_140_140 = e10) & ( ~ (all_0_145_145 = e10) | all_0_146_146 = e11))) & ((all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)) | (all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20)) | (all_0_127_127 = e21 & all_0_136_136 = e20 & ~ (all_0_128_128 = e22)) | (all_0_127_127 = e20 & all_0_133_133 = e21 & ~ (all_0_132_132 = e20)) | (all_0_128_128 = e22 & ~ (all_0_125_125 = e23) & ~ (all_0_127_127 = e21)) | (all_0_132_132 = e22 & all_0_135_135 = e20 & ~ (all_0_131_131 = e21)) | (all_0_136_136 = e20 & ~ (all_0_125_125 = e23))) & ((all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)) | (all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10)) | (all_0_141_141 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_140_140 = e11)) | (all_0_145_145 = e12 & all_0_148_148 = e10 & ~ (all_0_144_144 = e11)) | (all_0_149_149 = e10 & ~ (all_0_138_138 = e13)))
% 13.72/3.67 |
% 13.72/3.67 | Applying alpha-rule on (1) yields:
% 13.72/3.67 | (2) ~ (all_0_139_139 = all_0_143_143)
% 13.72/3.67 | (3) op2(e20, e23) = all_0_134_134
% 13.72/3.67 | (4) all_0_130_130 = e23 | all_0_130_130 = e22 | all_0_130_130 = e20
% 13.72/3.67 | (5) all_0_147_147 = e12 | all_0_147_147 = e10
% 13.72/3.67 | (6) h2(all_0_146_146) = all_0_74_74
% 13.72/3.67 | (7) op2(e23, all_0_130_130) = all_0_21_21
% 13.72/3.67 | (8) h2(all_0_141_141) = all_0_64_64
% 13.72/3.67 | (9) ~ (all_0_144_144 = all_0_146_146)
% 13.72/3.67 | (10) ~ (e22 = e13)
% 13.72/3.67 | (11) ~ (all_0_142_142 = e13)
% 13.72/3.67 | (12) ~ (all_0_138_138 = all_0_141_141)
% 13.72/3.67 | (13) op2(e21, e20) = all_0_133_133
% 13.72/3.67 | (14) op2(all_0_130_130, all_0_132_132) = all_0_8_8
% 13.72/3.67 | (15) op2(e21, all_0_132_132) = all_0_2_2
% 13.72/3.67 | (16) ~ (all_0_130_130 = e21)
% 13.72/3.67 | (17) all_0_137_137 = e13 | all_0_138_138 = e13
% 13.72/3.67 | (18) h3(all_0_138_138) = all_0_29_29
% 13.72/3.67 | (19) h3(e13) = all_0_127_127
% 13.72/3.67 | (20) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0))
% 13.72/3.67 | (21) op1(e13, all_0_138_138) = all_0_112_112
% 13.72/3.67 | (22) all_0_130_130 = e22 | all_0_131_131 = e22 | all_0_132_132 = e22
% 13.72/3.67 | (23) h1(all_0_142_142) = all_0_86_86
% 13.72/3.67 | (24) ~ (all_0_139_139 = all_0_140_140)
% 13.72/3.67 | (25) ~ (all_0_145_145 = all_0_149_149)
% 13.72/3.67 | (26) ~ (all_0_124_124 = e21)
% 13.72/3.67 | (27) h3(all_0_143_143) = all_0_40_40
% 13.72/3.67 | (28) all_0_127_127 = e21 | all_0_131_131 = e21 | all_0_135_135 = e21
% 13.72/3.67 | (29) all_0_127_127 = e21 | all_0_128_128 = e21 | all_0_129_129 = e21
% 13.72/3.67 | (30) all_0_134_134 = e20 | all_0_135_135 = e20 | all_0_136_136 = e20
% 13.72/3.67 | (31) ~ (all_0_133_133 = e22)
% 13.72/3.67 | (32) ~ (all_0_140_140 = all_0_148_148)
% 13.72/3.67 | (33) op1(e10, e10) = e13
% 13.72/3.67 | (34) h3(all_0_145_145) = all_0_44_44
% 13.72/3.67 | (35) ~ (all_0_126_126 = all_0_127_127)
% 13.72/3.67 | (36) all_0_124_124 = e23 | all_0_124_124 = e20
% 13.72/3.67 | (37) h4(e13) = e21
% 13.72/3.67 | (38) ~ (all_0_129_129 = all_0_133_133)
% 13.72/3.67 | (39) h4(all_0_138_138) = all_0_3_3
% 13.72/3.67 | (40) h4(all_0_145_145) = all_0_17_17
% 13.72/3.67 | (41) ~ (e21 = e11)
% 13.72/3.67 | (42) ~ (all_0_142_142 = e12)
% 13.72/3.67 | (43) h4(all_0_141_141) = all_0_9_9
% 13.72/3.67 | (44) op2(e23, e20) = e22
% 13.72/3.67 | (45) op2(all_0_95_95, all_0_95_95) = all_0_43_43
% 13.72/3.67 | (46) all_0_149_149 = e12 | all_0_149_149 = e11 | all_0_149_149 = e10
% 13.72/3.67 | (47) op2(e22, e21) = all_0_128_128
% 13.72/3.67 | (48) op2(all_0_127_127, all_0_94_94) = all_0_26_26
% 13.72/3.67 | (49) h2(all_0_140_140) = all_0_62_62
% 13.72/3.67 | (50) ~ (all_0_134_134 = all_0_135_135)
% 13.72/3.67 | (51) all_0_143_143 = e13 | all_0_144_144 = e13 | all_0_145_145 = e13
% 13.72/3.67 | (52) ~ (all_0_146_146 = e12)
% 13.72/3.67 | (53) ~ (all_0_135_135 = e23)
% 13.72/3.67 | (54) ~ (all_0_126_126 = e21)
% 13.72/3.67 | (55) all_0_135_135 = e21 | all_0_136_136 = e21
% 13.72/3.67 | (56) all_0_128_128 = e21 | all_0_132_132 = e21 | all_0_136_136 = e21
% 13.72/3.67 | (57) op2(e23, e21) = all_0_125_125
% 13.72/3.67 | (58) ~ (all_0_139_139 = all_0_142_142)
% 13.72/3.67 | (59) all_0_125_125 = e23 | all_0_128_128 = e23 | all_0_132_132 = e23
% 13.72/3.67 | (60) ~ (all_0_144_144 = all_0_148_148)
% 13.72/3.67 | (61) h1(all_0_144_144) = all_0_88_88
% 13.72/3.67 | (62) op1(e13, e12) = all_0_137_137
% 13.72/3.67 | (63) all_0_130_130 = e23 | all_0_131_131 = e23 | all_0_132_132 = e23
% 13.72/3.67 | (64) ~ (all_0_146_146 = e13)
% 13.72/3.67 | (65) ~ (e12 = e11)
% 13.72/3.68 | (66) op2(all_0_96_96, all_0_132_132) = all_0_59_59
% 13.72/3.68 | (67) all_0_140_140 = e12 | all_0_144_144 = e12 | all_0_148_148 = e12
% 13.72/3.68 | (68) h2(all_0_148_148) = all_0_78_78
% 13.72/3.68 | (69) ~ (all_0_128_128 = all_0_132_132)
% 13.72/3.68 | (70) op2(e21, all_0_96_96) = all_0_77_77
% 13.72/3.68 | (71) ~ (e23 = e10)
% 13.72/3.68 | (72) op2(e23, e22) = all_0_124_124
% 13.72/3.68 | (73) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0))
% 13.72/3.68 | (74) all_0_143_143 = e10 | all_0_144_144 = e10 | all_0_145_145 = e10 | all_0_146_146 = e10
% 13.72/3.68 | (75) all_0_126_126 = e20 | all_0_127_127 = e20 | all_0_128_128 = e20 | all_0_129_129 = e20
% 13.72/3.68 | (76) all_0_128_128 = e23 | all_0_128_128 = e22 | all_0_128_128 = e21 | all_0_128_128 = e20
% 13.72/3.68 | (77) ~ (all_0_143_143 = all_0_145_145)
% 13.72/3.68 | (78) h1(all_0_148_148) = all_0_92_92
% 13.72/3.68 | (79) ~ (all_0_148_148 = all_0_149_149)
% 13.72/3.68 | (80) op2(all_0_95_95, all_0_94_94) = all_0_41_41
% 13.72/3.68 | (81) ~ (all_0_139_139 = e11)
% 13.72/3.68 | (82) all_0_139_139 = e13 | all_0_139_139 = e12 | all_0_139_139 = e10
% 13.72/3.68 | (83) ~ (all_0_147_147 = e11)
% 13.72/3.68 | (84) ~ (e23 = e13)
% 13.72/3.68 | (85) op1(e10, all_0_149_149) = all_0_123_123
% 13.72/3.68 | (86) ~ (e13 = e10)
% 13.72/3.68 | (87) op1(e10, e11) = all_0_149_149
% 13.72/3.68 | (88) h1(all_0_146_146) = all_0_90_90
% 13.72/3.68 | (89) h2(all_0_139_139) = all_0_60_60
% 13.72/3.68 | (90) ~ (all_0_126_126 = all_0_129_129)
% 13.72/3.68 | (91) all_0_134_134 = e22 | all_0_135_135 = e22 | all_0_136_136 = e22
% 13.72/3.68 | (92) ~ (all_0_131_131 = all_0_132_132)
% 13.72/3.68 | (93) ~ (all_0_127_127 = all_0_135_135)
% 13.72/3.68 | (94) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 13.72/3.68 | (95) op1(e11, all_0_145_145) = all_0_119_119
% 13.72/3.68 | (96) ~ (all_0_124_124 = e22)
% 13.72/3.68 | (97) h3(all_0_141_141) = all_0_36_36
% 13.72/3.68 | (98) op2(all_0_130_130, e23) = all_0_10_10
% 13.72/3.68 | (99) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0))
% 13.72/3.68 | (100) all_0_142_142 = e10 | all_0_146_146 = e10
% 13.72/3.68 | (101) op2(e20, all_0_135_135) = all_0_109_109
% 13.72/3.68 | (102) ~ (all_0_131_131 = all_0_135_135)
% 13.72/3.68 | (103) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0))
% 13.72/3.68 | (104) h4(all_0_137_137) = all_0_1_1
% 13.72/3.68 | (105) h1(all_0_137_137) = all_0_81_81
% 13.72/3.68 | (106) ~ (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_125_125) | ~ (all_0_21_21 = all_0_22_22) | ~ (all_0_23_23 = all_0_24_24) | ( ~ (all_0_130_130 = e22) & ~ (all_0_132_132 = e22)) | ( ~ (all_0_130_130 = e20) & ~ (all_0_132_132 = e20))
% 13.72/3.68 | (107) ~ (all_0_141_141 = all_0_145_145)
% 13.72/3.68 | (108) all_0_140_140 = e11 | all_0_144_144 = e11 | all_0_148_148 = e11
% 13.72/3.68 | (109) ~ (all_0_138_138 = all_0_149_149)
% 13.72/3.68 | (110) ~ (all_0_126_126 = all_0_134_134)
% 13.72/3.68 | (111) op2(all_0_94_94, all_0_127_127) = all_0_31_31
% 13.72/3.68 | (112) op2(e21, e23) = all_0_130_130
% 13.72/3.68 | (113) ~ (e20 = e11)
% 13.72/3.68 | (114) op1(e11, all_0_146_146) = all_0_120_120
% 13.72/3.68 | (115) h1(all_0_145_145) = all_0_89_89
% 13.72/3.68 | (116) all_0_138_138 = e13 | all_0_138_138 = e10
% 13.72/3.68 | (117) op2(e22, all_0_95_95) = all_0_51_51
% 13.72/3.68 | (118) h3(all_0_147_147) = all_0_48_48
% 13.72/3.68 | (119) ~ (e21 = e13)
% 13.72/3.68 | (120) op2(all_0_132_132, e21) = all_0_12_12
% 13.72/3.68 | (121) h4(all_0_142_142) = all_0_11_11
% 13.72/3.68 | (122) all_0_129_129 = e20 | all_0_133_133 = e20
% 13.72/3.68 | (123) h4(all_0_143_143) = all_0_13_13
% 13.72/3.68 | (124) op1(e10, e12) = all_0_148_148
% 13.72/3.68 | (125) ~ (e23 = e21)
% 13.72/3.68 | (126) all_0_141_141 = e13 | all_0_141_141 = e12 | all_0_141_141 = e11 | all_0_141_141 = e10
% 13.72/3.68 | (127) op2(all_0_96_96, e21) = all_0_65_65
% 13.72/3.68 | (128) ~ (all_0_147_147 = all_0_149_149)
% 13.72/3.68 | (129) all_0_124_124 = e23 | all_0_125_125 = e23
% 13.72/3.68 | (130) op1(e11, all_0_143_143) = all_0_117_117
% 13.72/3.69 | (131) op1(e13, e10) = e12
% 13.72/3.69 | (132) op2(e21, e22) = all_0_131_131
% 13.72/3.69 | (133) ~ (e12 = e10)
% 13.72/3.69 | (134) h2(e10) = e21
% 13.72/3.69 | (135) op2(all_0_97_97, all_0_96_96) = all_0_69_69
% 13.72/3.69 | (136) h4(all_0_140_140) = all_0_7_7
% 13.72/3.69 | (137) h2(all_0_142_142) = all_0_66_66
% 13.72/3.69 | (138) h2(e11) = all_0_97_97
% 13.72/3.69 | (139) all_0_126_126 = e23 | all_0_127_127 = e23 | all_0_128_128 = e23
% 13.72/3.69 | (140) op2(e20, all_0_136_136) = all_0_110_110
% 13.72/3.69 | (141) all_0_127_127 = e23 | all_0_127_127 = e22 | all_0_127_127 = e21 | all_0_127_127 = e20
% 13.72/3.69 | (142) op2(e22, all_0_126_126) = all_0_100_100
% 13.72/3.69 | (143) all_0_125_125 = e23 | all_0_125_125 = e20
% 13.72/3.69 | (144) op2(all_0_96_96, all_0_96_96) = all_0_61_61
% 13.72/3.69 | (145) h1(e12) = e22
% 13.72/3.69 | (146) op2(e21, all_0_132_132) = all_0_106_106
% 13.72/3.69 | (147) ~ (e21 = e10)
% 13.72/3.69 | (148) op2(all_0_132_132, all_0_132_132) = all_0_97_97
% 13.72/3.69 | (149) ~ (all_0_130_130 = all_0_131_131)
% 13.72/3.69 | (150) ~ (all_0_137_137 = e11)
% 13.72/3.69 | (151) ~ (e21 = e20)
% 13.72/3.69 | (152) op2(all_0_95_95, all_0_127_127) = all_0_39_39
% 13.72/3.69 | (153) op2(all_0_132_132, all_0_132_132) = all_0_53_53
% 13.72/3.69 | (154) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)) | (all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10)) | (all_0_141_141 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_140_140 = e11)) | (all_0_145_145 = e12 & all_0_148_148 = e10 & ~ (all_0_144_144 = e11)) | (all_0_149_149 = e10 & ~ (all_0_138_138 = e13))
% 13.72/3.69 | (155) h3(all_0_148_148) = all_0_50_50
% 13.72/3.69 | (156) op1(e12, all_0_141_141) = all_0_115_115
% 13.72/3.69 | (157) op2(e21, all_0_130_130) = all_0_104_104
% 13.72/3.69 | (158) op2(all_0_95_95, e22) = all_0_45_45
% 13.72/3.69 | (159) op2(e20, e22) = all_0_135_135
% 13.72/3.69 | (160) op1(e13, all_0_137_137) = all_0_111_111
% 13.72/3.69 | (161) ~ (all_0_140_140 = all_0_142_142)
% 13.72/3.69 | (162) all_0_137_137 = e13 | all_0_137_137 = e10
% 13.72/3.69 | (163) all_0_139_139 = e10 | all_0_143_143 = e10 | all_0_147_147 = e10
% 13.72/3.69 | (164) op2(e20, e20) = e23
% 13.72/3.69 | (165) all_0_144_144 = e11 | all_0_145_145 = e11 | all_0_146_146 = e11
% 13.72/3.69 | (166) ~ (e20 = e12)
% 13.72/3.69 | (167) h3(all_0_140_140) = all_0_34_34
% 13.72/3.69 | (168) h1(all_0_140_140) = all_0_84_84
% 13.72/3.69 | (169) h1(all_0_141_141) = all_0_85_85
% 13.72/3.69 | (170) all_0_147_147 = e10 | all_0_148_148 = e10 | all_0_149_149 = e10
% 13.72/3.69 | (171) (all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)) | (all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20)) | (all_0_127_127 = e21 & all_0_136_136 = e20 & ~ (all_0_128_128 = e22)) | (all_0_127_127 = e20 & all_0_133_133 = e21 & ~ (all_0_132_132 = e20)) | (all_0_128_128 = e22 & ~ (all_0_125_125 = e23) & ~ (all_0_127_127 = e21)) | (all_0_132_132 = e22 & all_0_135_135 = e20 & ~ (all_0_131_131 = e21)) | (all_0_136_136 = e20 & ~ (all_0_125_125 = e23))
% 13.72/3.69 | (172) op2(e23, all_0_125_125) = all_0_99_99
% 13.72/3.69 | (173) op2(all_0_132_132, all_0_97_97) = all_0_56_56
% 13.72/3.69 | (174) ~ (all_0_141_141 = all_0_142_142)
% 13.72/3.69 | (175) op2(e21, all_0_133_133) = all_0_107_107
% 13.72/3.69 | (176) op2(all_0_97_97, all_0_97_97) = all_0_71_71
% 13.72/3.69 | (177) ~ (all_0_129_129 = e23)
% 13.72/3.69 | (178) op2(e23, e23) = e21
% 13.72/3.69 | (179) ~ (e23 = e22)
% 13.72/3.69 | (180) all_0_137_137 = e10 | all_0_138_138 = e10
% 13.72/3.69 | (181) op2(e21, all_0_132_132) = all_0_75_75
% 13.72/3.69 | (182) all_0_124_124 = e20 | all_0_127_127 = e20 | all_0_131_131 = e20 | all_0_135_135 = e20
% 13.72/3.69 | (183) h3(all_0_149_149) = all_0_52_52
% 13.72/3.69 | (184) ~ (all_0_125_125 = e22)
% 13.72/3.70 | (185) h2(all_0_137_137) = all_0_55_55
% 13.72/3.70 | (186) ~ (all_0_137_137 = all_0_144_144)
% 13.72/3.70 | (187) ~ (e22 = e10)
% 13.72/3.70 | (188) op2(all_0_132_132, e21) = all_0_58_58
% 13.72/3.70 | (189) ~ (all_0_131_131 = all_0_133_133)
% 13.72/3.70 | (190) ~ (all_0_125_125 = all_0_136_136)
% 13.72/3.70 | (191) all_0_125_125 = e20 | all_0_128_128 = e20 | all_0_132_132 = e20 | all_0_136_136 = e20
% 13.72/3.70 | (192) ~ (all_0_145_145 = all_0_146_146)
% 13.72/3.70 | (193) op2(all_0_127_127, e22) = all_0_30_30
% 13.72/3.70 | (194) ~ (all_0_125_125 = all_0_132_132)
% 13.72/3.70 | (195) h3(e12) = all_0_94_94
% 13.72/3.70 | (196) h4(all_0_146_146) = all_0_19_19
% 13.72/3.70 | (197) op2(e23, all_0_124_124) = all_0_98_98
% 13.72/3.70 | (198) op1(e12, e11) = all_0_141_141
% 13.72/3.70 | (199) ~ (all_0_148_148 = e13)
% 13.72/3.70 | (200) all_0_144_144 = e13 | all_0_144_144 = e12 | all_0_144_144 = e11 | all_0_144_144 = e10
% 13.72/3.70 | (201) all_0_137_137 = e13 | all_0_140_140 = e13 | all_0_144_144 = e13
% 13.72/3.70 | (202) op1(e13, e11) = all_0_138_138
% 13.72/3.70 | (203) all_0_142_142 = e11 | all_0_142_142 = e10
% 13.72/3.70 | (204) op1(e10, all_0_148_148) = all_0_122_122
% 13.72/3.70 | (205) h3(all_0_144_144) = all_0_42_42
% 13.72/3.70 | (206) h1(e13) = e23
% 13.72/3.70 | (207) h3(e11) = all_0_95_95
% 13.72/3.70 | (208) ~ (all_0_132_132 = all_0_133_133)
% 13.72/3.70 | (209) op2(e20, all_0_134_134) = all_0_108_108
% 13.72/3.70 | (210) op2(all_0_127_127, e22) = all_0_94_94
% 13.72/3.70 | (211) ~ (all_0_130_130 = all_0_134_134)
% 13.72/3.70 | (212) op2(e22, all_0_94_94) = all_0_49_49
% 13.72/3.70 | (213) h4(e11) = all_0_132_132
% 13.72/3.70 | (214) all_0_139_139 = e12 | all_0_143_143 = e12 | all_0_147_147 = e12
% 13.72/3.70 | (215) op2(all_0_94_94, all_0_94_94) = all_0_33_33
% 13.72/3.70 | (216) ~ (all_0_137_137 = e12)
% 13.72/3.70 | (217) all_0_124_124 = e20 | all_0_125_125 = e20
% 13.72/3.70 | (218) ~ (all_0_126_126 = all_0_128_128)
% 13.72/3.70 | (219) op2(e21, all_0_130_130) = all_0_0_0
% 13.72/3.70 | (220) h4(all_0_139_139) = all_0_5_5
% 13.72/3.70 | (221) ~ (all_0_147_147 = e13)
% 13.72/3.70 | (222) h2(e12) = all_0_96_96
% 13.72/3.70 | (223) all_0_131_131 = e23 | all_0_131_131 = e22 | all_0_131_131 = e21 | all_0_131_131 = e20
% 13.72/3.70 | (224) ~ (e23 = e12)
% 13.72/3.70 | (225) op1(e11, e13) = all_0_143_143
% 13.72/3.70 | (226) op1(e12, all_0_140_140) = all_0_114_114
% 13.72/3.70 | (227) ~ (all_0_130_130 = all_0_133_133)
% 13.72/3.70 | (228) ~ (all_0_139_139 = all_0_147_147)
% 13.72/3.70 | (229) all_0_137_137 = e10 | all_0_140_140 = e10 | all_0_144_144 = e10 | all_0_148_148 = e10
% 13.72/3.70 | (230) h2(all_0_143_143) = all_0_68_68
% 13.72/3.70 | (231) all_0_143_143 = e13 | all_0_143_143 = e12 | all_0_143_143 = e10
% 13.72/3.70 | (232) all_0_126_126 = e22 | all_0_127_127 = e22 | all_0_128_128 = e22
% 13.72/3.70 | (233) h4(all_0_144_144) = all_0_15_15
% 13.72/3.70 | (234) all_0_136_136 = e22 | all_0_136_136 = e21 | all_0_136_136 = e20
% 13.72/3.70 | (235) ~ (e23 = e20)
% 13.72/3.70 | (236) ~ (all_0_129_129 = e22)
% 13.72/3.70 | (237) ~ (all_0_138_138 = e11)
% 13.72/3.70 | (238) ~ (e22 = e20)
% 13.72/3.70 | (239) ~ (all_0_126_126 = all_0_130_130)
% 13.72/3.70 | (240) op2(all_0_132_132, all_0_132_132) = all_0_16_16
% 13.72/3.70 | (241) op1(e11, e11) = all_0_145_145
% 13.72/3.70 | (242) all_0_138_138 = e10 | all_0_141_141 = e10 | all_0_145_145 = e10 | all_0_149_149 = e10
% 13.72/3.70 | (243) ~ (all_0_53_53 = all_0_97_97) | ~ (all_0_54_54 = all_0_55_55) | ~ (all_0_56_56 = all_0_57_57) | ~ (all_0_58_58 = all_0_96_96) | ~ (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_96_96 = e23) & ~ (all_0_97_97 = e23) & ~ (all_0_132_132 = e23)) | ( ~ (all_0_96_96 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_132_132 = e22)) | ( ~ (all_0_96_96 = e20) & ~ (all_0_97_97 = e20) & ~ (all_0_132_132 = e20))
% 13.72/3.70 | (244) op2(all_0_97_97, e21) = all_0_73_73
% 13.72/3.70 | (245) op1(e11, e10) = all_0_146_146
% 13.72/3.70 | (246) (all_0_111_111 = e12 & all_0_112_112 = e11 & all_0_137_137 = e10 & all_0_138_138 = e13 & all_0_147_147 = e10 & ~ (all_0_145_145 = e13) & ( ~ (all_0_140_140 = e13) | all_0_139_139 = e12)) | (all_0_113_113 = e13 & all_0_114_114 = e12 & all_0_115_115 = e11 & all_0_116_116 = e10 & ( ~ (all_0_145_145 = e12) | all_0_144_144 = e11)) | (all_0_117_117 = e13 & all_0_118_118 = e12 & all_0_119_119 = e11 & all_0_120_120 = e10 & all_0_138_138 = e13 & ( ~ (all_0_140_140 = e11) | all_0_141_141 = e12)) | (all_0_121_121 = e13 & all_0_122_122 = e12 & all_0_123_123 = e11 & all_0_147_147 = e10 & ~ (all_0_140_140 = e10) & ( ~ (all_0_145_145 = e10) | all_0_146_146 = e11))
% 13.72/3.70 | (247) ~ (all_0_128_128 = all_0_136_136)
% 13.72/3.70 | (248) all_0_129_129 = e21 | all_0_133_133 = e21
% 13.72/3.70 | (249) all_0_139_139 = e12 | all_0_140_140 = e12 | all_0_141_141 = e12
% 13.72/3.70 | (250) op2(all_0_130_130, all_0_130_130) = all_0_6_6
% 13.72/3.70 | (251) all_0_126_126 = e23 | all_0_126_126 = e22 | all_0_126_126 = e20
% 13.72/3.70 | (252) ~ (e11 = e10)
% 13.72/3.70 | (253) op2(all_0_127_127, all_0_127_127) = all_0_95_95
% 13.72/3.70 | (254) h4(e10) = e23
% 13.72/3.70 | (255) op1(e12, e10) = all_0_142_142
% 13.72/3.70 | (256) op1(e11, all_0_144_144) = all_0_118_118
% 13.72/3.70 | (257) op1(e12, all_0_139_139) = all_0_113_113
% 13.72/3.70 | (258) ~ (e21 = e12)
% 13.72/3.70 | (259) all_0_130_130 = e20 | all_0_131_131 = e20 | all_0_132_132 = e20 | all_0_133_133 = e20
% 13.72/3.70 | (260) all_0_124_124 = e23 | all_0_127_127 = e23 | all_0_131_131 = e23
% 13.72/3.70 | (261) all_0_147_147 = e12 | all_0_148_148 = e12 | all_0_149_149 = e12
% 13.72/3.70 | (262) ~ (all_0_140_140 = all_0_141_141)
% 13.72/3.70 | (263) all_0_139_139 = e13 | all_0_140_140 = e13 | all_0_141_141 = e13
% 13.72/3.70 | (264) op2(e21, e21) = all_0_132_132
% 13.72/3.71 | (265) all_0_138_138 = e13 | all_0_141_141 = e13 | all_0_145_145 = e13
% 13.72/3.71 | (266) op2(all_0_127_127, all_0_127_127) = all_0_25_25
% 13.72/3.71 | (267) h3(all_0_139_139) = all_0_32_32
% 13.72/3.71 | (268) ~ (all_0_138_138 = e12)
% 13.72/3.71 | (269) ~ (all_0_136_136 = e23)
% 13.72/3.71 | (270) h2(all_0_149_149) = all_0_80_80
% 13.72/3.71 | (271) ~ (all_0_133_133 = e23)
% 13.72/3.71 | (272) ~ (all_0_143_143 = all_0_146_146)
% 13.72/3.71 | (273) ~ (all_0_127_127 = all_0_131_131)
% 13.72/3.71 | (274) ~ (e22 = e11)
% 13.72/3.71 | (275) ~ (e20 = e10)
% 13.72/3.71 | (276) ~ (all_0_134_134 = e21)
% 13.72/3.71 | (277) op1(e12, e12) = all_0_140_140
% 13.72/3.71 | (278) ~ (all_0_125_125 = all_0_128_128)
% 13.72/3.71 | (279) ~ (all_0_143_143 = all_0_147_147)
% 13.72/3.71 | (280) op2(all_0_132_132, all_0_130_130) = all_0_14_14
% 13.72/3.71 | (281) all_0_145_145 = e13 | all_0_145_145 = e12 | all_0_145_145 = e11 | all_0_145_145 = e10
% 13.72/3.71 | (282) op2(e22, all_0_127_127) = all_0_47_47
% 13.72/3.71 | (283) op2(e21, all_0_131_131) = all_0_105_105
% 13.72/3.71 | (284) op2(e22, e23) = all_0_126_126
% 13.72/3.71 | (285) all_0_134_134 = e22 | all_0_134_134 = e20
% 13.72/3.71 | (286) all_0_139_139 = e13 | all_0_143_143 = e13
% 13.72/3.71 | (287) all_0_140_140 = e13 | all_0_140_140 = e12 | all_0_140_140 = e11 | all_0_140_140 = e10
% 13.72/3.71 | (288) ~ (all_0_134_134 = e23)
% 13.72/3.71 | (289) ~ (all_0_127_127 = all_0_129_129)
% 13.72/3.71 | (290) ~ (all_0_147_147 = all_0_148_148)
% 13.72/3.71 | (291) (all_0_98_98 = e22 & all_0_99_99 = e21 & all_0_124_124 = e20 & all_0_125_125 = e23 & all_0_134_134 = e20 & ~ (all_0_132_132 = e23) & ( ~ (all_0_127_127 = e23) | all_0_126_126 = e22)) | (all_0_100_100 = e23 & all_0_101_101 = e22 & all_0_102_102 = e21 & all_0_103_103 = e20 & ( ~ (all_0_132_132 = e22) | all_0_131_131 = e21)) | (all_0_104_104 = e23 & all_0_105_105 = e22 & all_0_106_106 = e21 & all_0_107_107 = e20 & all_0_125_125 = e23 & ( ~ (all_0_127_127 = e21) | all_0_128_128 = e22)) | (all_0_108_108 = e23 & all_0_109_109 = e22 & all_0_110_110 = e21 & all_0_134_134 = e20 & ~ (all_0_127_127 = e20) & ( ~ (all_0_132_132 = e20) | all_0_133_133 = e21))
% 13.72/3.71 | (292) op1(e12, e13) = all_0_139_139
% 13.72/3.71 | (293) h1(e10) = e20
% 13.72/3.71 | (294) h1(e11) = e21
% 13.72/3.71 | (295) ~ (all_0_132_132 = all_0_136_136)
% 13.72/3.71 | (296) ~ (all_0_124_124 = all_0_135_135)
% 13.72/3.71 | (297) all_0_141_141 = e11 | all_0_145_145 = e11 | all_0_149_149 = e11
% 13.72/3.71 | (298) ~ (all_0_149_149 = e13)
% 13.72/3.71 | (299) ~ (all_0_125_125 = e21)
% 13.72/3.71 | (300) op1(e10, all_0_147_147) = all_0_121_121
% 13.72/3.71 | (301) op2(all_0_132_132, all_0_96_96) = all_0_54_54
% 13.72/3.71 | (302) ~ (all_0_140_140 = all_0_144_144)
% 13.72/3.71 | (303) all_0_128_128 = e22 | all_0_132_132 = e22 | all_0_136_136 = e22
% 13.72/3.71 | (304) op2(all_0_94_94, all_0_95_95) = all_0_35_35
% 13.72/3.71 | (305) ~ (all_0_143_143 = e11)
% 13.72/3.71 | (306) ~ (all_0_128_128 = all_0_129_129)
% 13.72/3.71 | (307) ~ (e13 = e12)
% 13.72/3.71 | (308) h3(all_0_142_142) = all_0_38_38
% 13.72/3.71 | (309) op2(all_0_96_96, all_0_97_97) = all_0_63_63
% 13.72/3.71 | (310) ~ (e22 = e21)
% 13.72/3.71 | (311) op2(e20, e21) = all_0_136_136
% 13.72/3.71 | (312) all_0_127_127 = e22 | all_0_131_131 = e22 | all_0_135_135 = e22
% 13.72/3.71 | (313) op2(e22, e20) = all_0_129_129
% 13.72/3.71 | (314) all_0_129_129 = e21 | all_0_129_129 = e20
% 13.72/3.71 | (315) op2(all_0_97_97, all_0_132_132) = all_0_67_67
% 13.72/3.71 | (316) ~ (all_0_124_124 = all_0_127_127)
% 13.72/3.71 | (317) h3(e10) = e22
% 13.72/3.71 | (318) h3(all_0_137_137) = all_0_27_27
% 13.72/3.71 | (319) ~ (all_0_138_138 = all_0_145_145)
% 13.72/3.71 | (320) op2(e23, all_0_132_132) = all_0_23_23
% 13.72/3.71 | (321) h1(all_0_143_143) = all_0_87_87
% 13.72/3.71 | (322) h2(e13) = all_0_132_132
% 13.72/3.71 | (323) ~ (all_0_124_124 = all_0_125_125)
% 13.72/3.71 | (324) ~ (all_0_134_134 = all_0_136_136)
% 13.72/3.71 | (325) ~ (e22 = e12)
% 13.72/3.71 | (326) op1(e10, e13) = all_0_147_147
% 13.72/3.71 | (327) op2(e21, all_0_97_97) = all_0_79_79
% 13.72/3.71 | (328) ~ (e20 = e13)
% 13.72/3.71 | (329) h1(all_0_147_147) = all_0_91_91
% 13.72/3.71 | (330) all_0_142_142 = e11 | all_0_146_146 = e11
% 13.72/3.71 | (331) op2(all_0_132_132, e21) = all_0_96_96
% 13.72/3.71 | (332) all_0_133_133 = e21 | all_0_133_133 = e20
% 13.72/3.71 | (333) h2(all_0_144_144) = all_0_70_70
% 13.72/3.71 | (334) h2(all_0_138_138) = all_0_57_57
% 13.72/3.71 | (335) all_0_148_148 = e12 | all_0_148_148 = e11 | all_0_148_148 = e10
% 13.72/3.71 | (336) all_0_135_135 = e22 | all_0_135_135 = e21 | all_0_135_135 = e20
% 13.72/3.71 | (337) op2(all_0_127_127, all_0_95_95) = all_0_28_28
% 13.72/3.71 | (338) ~ (e23 = e11)
% 13.72/3.71 | (339) h1(all_0_138_138) = all_0_82_82
% 13.72/3.71 | (340) all_0_141_141 = e12 | all_0_145_145 = e12 | all_0_149_149 = e12
% 13.72/3.71 | (341) op2(all_0_132_132, e23) = all_0_18_18
% 13.72/3.71 | (342) h4(all_0_148_148) = all_0_22_22
% 13.72/3.71 | (343) all_0_148_148 = e11 | all_0_149_149 = e11
% 13.72/3.71 | (344) all_0_126_126 = e22 | all_0_130_130 = e22 | all_0_134_134 = e22
% 13.72/3.71 | (345) ~ (all_0_139_139 = all_0_141_141)
% 13.72/3.71 | (346) h4(all_0_149_149) = all_0_24_24
% 13.72/3.71 | (347) op1(e13, e13) = e11
% 13.72/3.71 | (348) h2(all_0_145_145) = all_0_72_72
% 13.72/3.71 | (349) all_0_140_140 = e11 | all_0_141_141 = e11 | all_0_142_142 = e11
% 13.72/3.71 | (350) op1(e11, e12) = all_0_144_144
% 13.72/3.71 | (351) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 13.72/3.71 | (352) op2(e22, e22) = all_0_127_127
% 13.72/3.71 | (353) ~ (all_0_141_141 = all_0_149_149)
% 13.72/3.71 | (354) h3(all_0_146_146) = all_0_46_46
% 13.72/3.71 | (355) all_0_139_139 = e10 | all_0_140_140 = e10 | all_0_141_141 = e10 | all_0_142_142 = e10
% 13.72/3.71 | (356) ~ (all_0_130_130 = all_0_132_132)
% 13.72/3.71 | (357) all_0_143_143 = e12 | all_0_144_144 = e12 | all_0_145_145 = e12
% 13.72/3.72 | (358) all_0_146_146 = e11 | all_0_146_146 = e10
% 13.72/3.72 | (359) all_0_132_132 = e23 | all_0_132_132 = e22 | all_0_132_132 = e21 | all_0_132_132 = e20
% 13.72/3.72 | (360) op2(e22, all_0_128_128) = all_0_102_102
% 13.72/3.72 | (361) h4(all_0_147_147) = all_0_20_20
% 13.72/3.72 | (362) all_0_131_131 = e21 | all_0_132_132 = e21 | all_0_133_133 = e21
% 13.72/3.72 | (363) ~ (all_0_137_137 = all_0_140_140)
% 13.72/3.72 | (364) ~ (all_0_144_144 = all_0_145_145)
% 13.72/3.72 | (365) h4(e12) = all_0_130_130
% 13.72/3.72 | (366) ~ (all_0_142_142 = all_0_146_146)
% 13.72/3.72 | (367) ~ (all_0_135_135 = all_0_136_136)
% 13.72/3.72 | (368) ~ (all_0_137_137 = all_0_148_148)
% 13.72/3.72 | (369) op2(all_0_130_130, e21) = all_0_4_4
% 13.72/3.72 | (370) ~ (all_0_25_25 = all_0_95_95) | ~ (all_0_26_26 = all_0_27_27) | ~ (all_0_28_28 = all_0_29_29) | ~ (all_0_30_30 = all_0_94_94) | ~ (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_94_94 = e23) & ~ (all_0_95_95 = e23) & ~ (all_0_127_127 = e23)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_95_95 = e21) & ~ (all_0_127_127 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_95_95 = e20) & ~ (all_0_127_127 = e20))
% 13.72/3.72 | (371) h1(all_0_139_139) = all_0_83_83
% 13.72/3.72 | (372) h2(all_0_147_147) = all_0_76_76
% 13.72/3.72 | (373) all_0_126_126 = e20 | all_0_130_130 = e20 | all_0_134_134 = e20
% 13.72/3.72 | (374) op2(all_0_94_94, e22) = all_0_37_37
% 13.72/3.72 | (375) op2(e22, all_0_127_127) = all_0_101_101
% 13.72/3.72 | (376) h1(all_0_149_149) = all_0_93_93
% 13.72/3.72 | (377) op2(e22, all_0_129_129) = all_0_103_103
% 13.72/3.72 | (378) ~ (all_0_124_124 = all_0_131_131)
% 13.72/3.72 | (379) op1(e12, all_0_142_142) = all_0_116_116
% 13.72/3.72 | (380) ~ (all_0_127_127 = all_0_128_128)
% 13.72/3.72 | (381) all_0_126_126 = e23 | all_0_130_130 = e23
% 13.72/3.72 | (382) ~ (all_0_143_143 = all_0_144_144)
% 13.72/3.72 | (383) ~ (e13 = e11)
% 13.72/3.72 | (384) ~ (all_0_137_137 = all_0_138_138)
% 13.72/3.72 | (385) ~ (all_0_81_81 = all_0_124_124) | ~ (all_0_82_82 = all_0_125_125) | ~ (all_0_83_83 = all_0_126_126) | ~ (all_0_84_84 = all_0_127_127) | ~ (all_0_85_85 = all_0_128_128) | ~ (all_0_86_86 = all_0_129_129) | ~ (all_0_87_87 = all_0_130_130) | ~ (all_0_88_88 = all_0_131_131) | ~ (all_0_89_89 = all_0_132_132) | ~ (all_0_90_90 = all_0_133_133) | ~ (all_0_91_91 = all_0_134_134) | ~ (all_0_92_92 = all_0_135_135) | ~ (all_0_93_93 = all_0_136_136)
% 13.72/3.72 |
% 13.72/3.72 +-Applying beta-rule and splitting (122), into two cases.
% 13.72/3.72 |-Branch one:
% 13.72/3.72 | (386) all_0_129_129 = e20
% 13.72/3.72 |
% 13.72/3.72 | Equations (386) can reduce 90 to:
% 13.72/3.72 | (387) ~ (all_0_126_126 = e20)
% 13.72/3.72 |
% 13.72/3.72 | Equations (386) can reduce 306 to:
% 13.72/3.72 | (388) ~ (all_0_128_128 = e20)
% 13.72/3.72 |
% 13.72/3.72 | Equations (386) can reduce 38 to:
% 13.72/3.72 | (389) ~ (all_0_133_133 = e20)
% 13.72/3.72 |
% 13.72/3.72 | Simplifying 389 yields:
% 13.72/3.72 | (390) ~ (all_0_133_133 = e20)
% 13.72/3.72 |
% 13.72/3.72 | Equations (386) can reduce 177 to:
% 13.72/3.72 | (391) ~ (e23 = e20)
% 13.72/3.72 |
% 13.72/3.72 | Simplifying 391 yields:
% 13.72/3.72 | (235) ~ (e23 = e20)
% 13.72/3.72 |
% 13.72/3.72 +-Applying beta-rule and splitting (332), into two cases.
% 13.72/3.72 |-Branch one:
% 13.72/3.72 | (393) all_0_133_133 = e20
% 13.72/3.72 |
% 13.72/3.72 | Equations (393) can reduce 390 to:
% 13.72/3.72 | (394) $false
% 13.72/3.72 |
% 13.72/3.72 |-The branch is then unsatisfiable
% 13.72/3.72 |-Branch two:
% 13.72/3.72 | (390) ~ (all_0_133_133 = e20)
% 13.72/3.72 | (396) all_0_133_133 = e21
% 13.72/3.72 |
% 13.72/3.72 | Equations (396) can reduce 227 to:
% 13.72/3.72 | (16) ~ (all_0_130_130 = e21)
% 13.72/3.72 |
% 13.72/3.72 | Equations (396) can reduce 189 to:
% 13.72/3.72 | (398) ~ (all_0_131_131 = e21)
% 13.72/3.72 |
% 13.72/3.72 | Equations (396) can reduce 208 to:
% 13.72/3.72 | (399) ~ (all_0_132_132 = e21)
% 13.72/3.72 |
% 13.72/3.72 | Equations (396) can reduce 31 to:
% 13.72/3.72 | (400) ~ (e22 = e21)
% 13.72/3.72 |
% 13.72/3.72 | Simplifying 400 yields:
% 13.72/3.72 | (310) ~ (e22 = e21)
% 13.72/3.72 |
% 13.72/3.72 | From (396) and (175) follows:
% 13.72/3.72 | (402) op2(e21, e21) = all_0_107_107
% 13.72/3.72 |
% 13.72/3.72 | Instantiating formula (94) with e21, e21, all_0_107_107, all_0_132_132 and discharging atoms op2(e21, e21) = all_0_107_107, op2(e21, e21) = all_0_132_132, yields:
% 13.72/3.72 | (403) all_0_107_107 = all_0_132_132
% 13.72/3.72 |
% 13.72/3.72 +-Applying beta-rule and splitting (285), into two cases.
% 13.72/3.72 |-Branch one:
% 13.72/3.72 | (404) all_0_134_134 = e20
% 13.72/3.72 |
% 13.72/3.72 | Equations (404) can reduce 110 to:
% 13.72/3.72 | (387) ~ (all_0_126_126 = e20)
% 13.72/3.72 |
% 13.72/3.72 | Equations (404) can reduce 211 to:
% 13.72/3.72 | (406) ~ (all_0_130_130 = e20)
% 13.72/3.72 |
% 13.72/3.72 | Equations (404) can reduce 324 to:
% 13.72/3.72 | (407) ~ (all_0_136_136 = e20)
% 13.72/3.72 |
% 13.72/3.72 | Simplifying 407 yields:
% 13.72/3.72 | (408) ~ (all_0_136_136 = e20)
% 13.72/3.72 |
% 13.72/3.72 +-Applying beta-rule and splitting (36), into two cases.
% 13.72/3.72 |-Branch one:
% 13.72/3.72 | (409) all_0_124_124 = e20
% 13.72/3.72 |
% 13.72/3.72 | Equations (409) can reduce 323 to:
% 13.72/3.72 | (410) ~ (all_0_125_125 = e20)
% 13.72/3.72 |
% 13.72/3.72 | Simplifying 410 yields:
% 13.72/3.72 | (411) ~ (all_0_125_125 = e20)
% 13.72/3.72 |
% 13.72/3.72 | Equations (409) can reduce 316 to:
% 13.72/3.72 | (412) ~ (all_0_127_127 = e20)
% 13.72/3.72 |
% 13.72/3.72 | Simplifying 412 yields:
% 13.72/3.72 | (413) ~ (all_0_127_127 = e20)
% 13.72/3.72 |
% 13.72/3.72 | Equations (409) can reduce 296 to:
% 13.72/3.72 | (414) ~ (all_0_135_135 = e20)
% 13.72/3.72 |
% 13.72/3.72 | Simplifying 414 yields:
% 13.72/3.72 | (415) ~ (all_0_135_135 = e20)
% 13.72/3.72 |
% 13.72/3.72 +-Applying beta-rule and splitting (143), into two cases.
% 13.72/3.72 |-Branch one:
% 13.72/3.72 | (416) all_0_125_125 = e20
% 13.72/3.72 |
% 13.72/3.72 | Equations (416) can reduce 411 to:
% 13.72/3.72 | (394) $false
% 13.72/3.72 |
% 13.72/3.72 |-The branch is then unsatisfiable
% 13.72/3.72 |-Branch two:
% 13.72/3.72 | (411) ~ (all_0_125_125 = e20)
% 13.72/3.72 | (419) all_0_125_125 = e23
% 13.72/3.72 |
% 13.72/3.72 | Equations (419) can reduce 194 to:
% 13.72/3.72 | (420) ~ (all_0_132_132 = e23)
% 13.72/3.72 |
% 13.72/3.72 | Simplifying 420 yields:
% 13.72/3.72 | (421) ~ (all_0_132_132 = e23)
% 13.72/3.72 |
% 13.72/3.72 | Equations (419) can reduce 411 to:
% 13.72/3.72 | (235) ~ (e23 = e20)
% 13.72/3.72 |
% 13.72/3.72 +-Applying beta-rule and splitting (191), into two cases.
% 13.72/3.72 |-Branch one:
% 13.72/3.72 | (416) all_0_125_125 = e20
% 13.72/3.72 |
% 13.72/3.73 | Combining equations (416,419) yields a new equation:
% 13.72/3.73 | (424) e23 = e20
% 13.72/3.73 |
% 13.72/3.73 | Equations (424) can reduce 235 to:
% 13.72/3.73 | (394) $false
% 13.72/3.73 |
% 13.72/3.73 |-The branch is then unsatisfiable
% 13.72/3.73 |-Branch two:
% 13.72/3.73 | (411) ~ (all_0_125_125 = e20)
% 13.72/3.73 | (427) all_0_128_128 = e20 | all_0_132_132 = e20 | all_0_136_136 = e20
% 13.72/3.73 |
% 13.72/3.73 | Equations (419) can reduce 411 to:
% 13.72/3.73 | (235) ~ (e23 = e20)
% 13.72/3.73 |
% 13.72/3.73 +-Applying beta-rule and splitting (171), into two cases.
% 13.72/3.73 |-Branch one:
% 13.72/3.73 | (429) (all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)) | (all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20)) | (all_0_127_127 = e21 & all_0_136_136 = e20 & ~ (all_0_128_128 = e22)) | (all_0_127_127 = e20 & all_0_133_133 = e21 & ~ (all_0_132_132 = e20)) | (all_0_128_128 = e22 & ~ (all_0_125_125 = e23) & ~ (all_0_127_127 = e21)) | (all_0_132_132 = e22 & all_0_135_135 = e20 & ~ (all_0_131_131 = e21))
% 13.72/3.73 |
% 13.72/3.73 +-Applying beta-rule and splitting (429), into two cases.
% 13.72/3.73 |-Branch one:
% 13.72/3.73 | (430) (all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)) | (all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20)) | (all_0_127_127 = e21 & all_0_136_136 = e20 & ~ (all_0_128_128 = e22)) | (all_0_127_127 = e20 & all_0_133_133 = e21 & ~ (all_0_132_132 = e20)) | (all_0_128_128 = e22 & ~ (all_0_125_125 = e23) & ~ (all_0_127_127 = e21))
% 13.72/3.73 |
% 13.72/3.73 +-Applying beta-rule and splitting (430), into two cases.
% 13.72/3.73 |-Branch one:
% 13.72/3.73 | (431) (all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)) | (all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20)) | (all_0_127_127 = e21 & all_0_136_136 = e20 & ~ (all_0_128_128 = e22)) | (all_0_127_127 = e20 & all_0_133_133 = e21 & ~ (all_0_132_132 = e20))
% 13.72/3.73 |
% 13.72/3.73 +-Applying beta-rule and splitting (431), into two cases.
% 13.72/3.73 |-Branch one:
% 13.72/3.73 | (432) (all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)) | (all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20)) | (all_0_127_127 = e21 & all_0_136_136 = e20 & ~ (all_0_128_128 = e22))
% 13.72/3.73 |
% 13.72/3.73 +-Applying beta-rule and splitting (432), into two cases.
% 13.72/3.73 |-Branch one:
% 13.72/3.73 | (433) (all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)) | (all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20))
% 14.13/3.73 |
% 14.13/3.73 +-Applying beta-rule and splitting (433), into two cases.
% 14.13/3.73 |-Branch one:
% 14.13/3.73 | (434) (all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23))
% 14.13/3.73 |
% 14.13/3.73 +-Applying beta-rule and splitting (434), into two cases.
% 14.13/3.73 |-Branch one:
% 14.13/3.73 | (435) all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)
% 14.13/3.73 |
% 14.13/3.73 | Applying alpha-rule on (435) yields:
% 14.13/3.73 | (436) all_0_124_124 = e23
% 14.13/3.73 | (437) all_0_132_132 = e22
% 14.13/3.73 | (398) ~ (all_0_131_131 = e21)
% 14.13/3.73 |
% 14.13/3.73 | Combining equations (409,436) yields a new equation:
% 14.13/3.73 | (424) e23 = e20
% 14.13/3.73 |
% 14.13/3.73 | Equations (424) can reduce 235 to:
% 14.13/3.73 | (394) $false
% 14.13/3.73 |
% 14.13/3.73 |-The branch is then unsatisfiable
% 14.13/3.73 |-Branch two:
% 14.13/3.73 | (441) all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)
% 14.13/3.73 |
% 14.13/3.73 | Applying alpha-rule on (441) yields:
% 14.13/3.73 | (442) all_0_126_126 = e22
% 14.13/3.73 | (443) all_0_132_132 = e23
% 14.13/3.73 | (444) ~ (all_0_127_127 = e23)
% 14.13/3.73 |
% 14.13/3.73 | Equations (443) can reduce 421 to:
% 14.13/3.73 | (394) $false
% 14.13/3.73 |
% 14.13/3.73 |-The branch is then unsatisfiable
% 14.13/3.73 |-Branch two:
% 14.13/3.73 | (446) all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20)
% 14.13/3.73 |
% 14.13/3.73 | Applying alpha-rule on (446) yields:
% 14.13/3.73 | (442) all_0_126_126 = e22
% 14.13/3.73 | (444) ~ (all_0_127_127 = e23)
% 14.13/3.73 | (449) ~ (all_0_134_134 = e20)
% 14.13/3.73 |
% 14.13/3.73 | Equations (404) can reduce 449 to:
% 14.13/3.73 | (394) $false
% 14.13/3.73 |
% 14.13/3.73 |-The branch is then unsatisfiable
% 14.13/3.73 |-Branch two:
% 14.13/3.73 | (451) all_0_127_127 = e21 & all_0_136_136 = e20 & ~ (all_0_128_128 = e22)
% 14.13/3.73 |
% 14.13/3.73 | Applying alpha-rule on (451) yields:
% 14.13/3.73 | (452) all_0_127_127 = e21
% 14.13/3.73 | (453) all_0_136_136 = e20
% 14.13/3.73 | (454) ~ (all_0_128_128 = e22)
% 14.13/3.73 |
% 14.13/3.73 | Equations (453) can reduce 408 to:
% 14.13/3.73 | (394) $false
% 14.13/3.73 |
% 14.13/3.73 |-The branch is then unsatisfiable
% 14.13/3.73 |-Branch two:
% 14.13/3.73 | (456) all_0_127_127 = e20 & all_0_133_133 = e21 & ~ (all_0_132_132 = e20)
% 14.13/3.73 |
% 14.13/3.73 | Applying alpha-rule on (456) yields:
% 14.13/3.73 | (457) all_0_127_127 = e20
% 14.13/3.73 | (396) all_0_133_133 = e21
% 14.13/3.73 | (459) ~ (all_0_132_132 = e20)
% 14.13/3.73 |
% 14.13/3.73 | Equations (457) can reduce 413 to:
% 14.13/3.73 | (394) $false
% 14.13/3.73 |
% 14.13/3.73 |-The branch is then unsatisfiable
% 14.13/3.73 |-Branch two:
% 14.13/3.73 | (461) all_0_128_128 = e22 & ~ (all_0_125_125 = e23) & ~ (all_0_127_127 = e21)
% 14.13/3.73 |
% 14.13/3.73 | Applying alpha-rule on (461) yields:
% 14.13/3.73 | (462) all_0_128_128 = e22
% 14.13/3.73 | (463) ~ (all_0_125_125 = e23)
% 14.13/3.73 | (464) ~ (all_0_127_127 = e21)
% 14.13/3.73 |
% 14.13/3.73 | Equations (419) can reduce 463 to:
% 14.13/3.73 | (394) $false
% 14.13/3.73 |
% 14.13/3.73 |-The branch is then unsatisfiable
% 14.13/3.73 |-Branch two:
% 14.13/3.73 | (466) all_0_132_132 = e22 & all_0_135_135 = e20 & ~ (all_0_131_131 = e21)
% 14.13/3.73 |
% 14.13/3.73 | Applying alpha-rule on (466) yields:
% 14.13/3.73 | (437) all_0_132_132 = e22
% 14.13/3.73 | (468) all_0_135_135 = e20
% 14.13/3.73 | (398) ~ (all_0_131_131 = e21)
% 14.13/3.73 |
% 14.13/3.73 | Equations (468) can reduce 415 to:
% 14.13/3.73 | (394) $false
% 14.13/3.73 |
% 14.13/3.73 |-The branch is then unsatisfiable
% 14.13/3.73 |-Branch two:
% 14.13/3.73 | (471) all_0_136_136 = e20 & ~ (all_0_125_125 = e23)
% 14.13/3.73 |
% 14.13/3.73 | Applying alpha-rule on (471) yields:
% 14.13/3.73 | (453) all_0_136_136 = e20
% 14.13/3.73 | (463) ~ (all_0_125_125 = e23)
% 14.13/3.73 |
% 14.13/3.73 | Equations (453) can reduce 408 to:
% 14.13/3.73 | (394) $false
% 14.13/3.73 |
% 14.13/3.73 |-The branch is then unsatisfiable
% 14.13/3.73 |-Branch two:
% 14.13/3.73 | (475) ~ (all_0_124_124 = e20)
% 14.13/3.73 | (436) all_0_124_124 = e23
% 14.13/3.73 |
% 14.13/3.73 | Equations (436) can reduce 323 to:
% 14.13/3.73 | (477) ~ (all_0_125_125 = e23)
% 14.13/3.73 |
% 14.13/3.73 | Simplifying 477 yields:
% 14.13/3.73 | (463) ~ (all_0_125_125 = e23)
% 14.13/3.73 |
% 14.13/3.73 | Equations (436) can reduce 316 to:
% 14.13/3.73 | (479) ~ (all_0_127_127 = e23)
% 14.13/3.73 |
% 14.13/3.73 | Simplifying 479 yields:
% 14.13/3.73 | (444) ~ (all_0_127_127 = e23)
% 14.13/3.73 |
% 14.13/3.73 | Equations (436) can reduce 296 to:
% 14.13/3.73 | (481) ~ (all_0_135_135 = e23)
% 14.13/3.73 |
% 14.13/3.73 | Simplifying 481 yields:
% 14.13/3.73 | (53) ~ (all_0_135_135 = e23)
% 14.13/3.73 |
% 14.13/3.73 +-Applying beta-rule and splitting (143), into two cases.
% 14.13/3.73 |-Branch one:
% 14.13/3.73 | (416) all_0_125_125 = e20
% 14.13/3.73 |
% 14.13/3.73 | Equations (416) can reduce 278 to:
% 14.13/3.73 | (484) ~ (all_0_128_128 = e20)
% 14.13/3.73 |
% 14.13/3.73 | Simplifying 484 yields:
% 14.13/3.73 | (388) ~ (all_0_128_128 = e20)
% 14.13/3.73 |
% 14.13/3.73 | Equations (416) can reduce 194 to:
% 14.13/3.73 | (486) ~ (all_0_132_132 = e20)
% 14.13/3.73 |
% 14.13/3.73 | Simplifying 486 yields:
% 14.13/3.73 | (459) ~ (all_0_132_132 = e20)
% 14.13/3.73 |
% 14.13/3.73 | Equations (416) can reduce 190 to:
% 14.13/3.73 | (407) ~ (all_0_136_136 = e20)
% 14.13/3.73 |
% 14.13/3.73 | Simplifying 407 yields:
% 14.13/3.73 | (408) ~ (all_0_136_136 = e20)
% 14.13/3.73 |
% 14.13/3.73 | Equations (416) can reduce 184 to:
% 14.13/3.73 | (490) ~ (e22 = e20)
% 14.13/3.73 |
% 14.13/3.73 | Simplifying 490 yields:
% 14.13/3.73 | (238) ~ (e22 = e20)
% 14.13/3.73 |
% 14.13/3.73 | Equations (416) can reduce 299 to:
% 14.13/3.73 | (492) ~ (e21 = e20)
% 14.13/3.73 |
% 14.13/3.73 | Simplifying 492 yields:
% 14.13/3.73 | (151) ~ (e21 = e20)
% 14.13/3.73 |
% 14.13/3.73 +-Applying beta-rule and splitting (259), into two cases.
% 14.13/3.73 |-Branch one:
% 14.13/3.73 | (494) all_0_130_130 = e20
% 14.13/3.73 |
% 14.13/3.73 | Equations (494) can reduce 406 to:
% 14.13/3.73 | (394) $false
% 14.13/3.73 |
% 14.13/3.73 |-The branch is then unsatisfiable
% 14.13/3.73 |-Branch two:
% 14.13/3.73 | (406) ~ (all_0_130_130 = e20)
% 14.13/3.74 | (497) all_0_131_131 = e20 | all_0_132_132 = e20 | all_0_133_133 = e20
% 14.13/3.74 |
% 14.13/3.74 +-Applying beta-rule and splitting (497), into two cases.
% 14.13/3.74 |-Branch one:
% 14.13/3.74 | (498) all_0_131_131 = e20
% 14.13/3.74 |
% 14.13/3.74 | Equations (498) can reduce 273 to:
% 14.13/3.74 | (413) ~ (all_0_127_127 = e20)
% 14.13/3.74 |
% 14.13/3.74 | Equations (498) can reduce 149 to:
% 14.13/3.74 | (406) ~ (all_0_130_130 = e20)
% 14.13/3.74 |
% 14.13/3.74 | Equations (498) can reduce 102 to:
% 14.13/3.74 | (414) ~ (all_0_135_135 = e20)
% 14.13/3.74 |
% 14.13/3.74 | Simplifying 414 yields:
% 14.13/3.74 | (415) ~ (all_0_135_135 = e20)
% 14.13/3.74 |
% 14.13/3.74 +-Applying beta-rule and splitting (203), into two cases.
% 14.13/3.74 |-Branch one:
% 14.13/3.74 | (503) all_0_142_142 = e10
% 14.13/3.74 |
% 14.13/3.74 | Equations (503) can reduce 58 to:
% 14.13/3.74 | (504) ~ (all_0_139_139 = e10)
% 14.13/3.74 |
% 14.13/3.74 | Equations (503) can reduce 161 to:
% 14.13/3.74 | (505) ~ (all_0_140_140 = e10)
% 14.13/3.74 |
% 14.13/3.74 | Equations (503) can reduce 366 to:
% 14.13/3.74 | (506) ~ (all_0_146_146 = e10)
% 14.13/3.74 |
% 14.13/3.74 | Simplifying 506 yields:
% 14.13/3.74 | (507) ~ (all_0_146_146 = e10)
% 14.13/3.74 |
% 14.13/3.74 | Equations (503) can reduce 11 to:
% 14.13/3.74 | (508) ~ (e13 = e10)
% 14.13/3.74 |
% 14.13/3.74 | Simplifying 508 yields:
% 14.13/3.74 | (86) ~ (e13 = e10)
% 14.13/3.74 |
% 14.13/3.74 | From (503) and (23) follows:
% 14.13/3.74 | (510) h1(e10) = all_0_86_86
% 14.13/3.74 |
% 14.13/3.74 +-Applying beta-rule and splitting (358), into two cases.
% 14.13/3.74 |-Branch one:
% 14.13/3.74 | (511) all_0_146_146 = e10
% 14.13/3.74 |
% 14.13/3.74 | Equations (511) can reduce 507 to:
% 14.13/3.74 | (394) $false
% 14.13/3.74 |
% 14.13/3.74 |-The branch is then unsatisfiable
% 14.13/3.74 |-Branch two:
% 14.13/3.74 | (507) ~ (all_0_146_146 = e10)
% 14.13/3.74 | (514) all_0_146_146 = e11
% 14.13/3.74 |
% 14.13/3.74 | Equations (514) can reduce 272 to:
% 14.13/3.74 | (305) ~ (all_0_143_143 = e11)
% 14.13/3.74 |
% 14.13/3.74 | Equations (514) can reduce 9 to:
% 14.13/3.74 | (516) ~ (all_0_144_144 = e11)
% 14.13/3.74 |
% 14.13/3.74 | Equations (514) can reduce 192 to:
% 14.13/3.74 | (517) ~ (all_0_145_145 = e11)
% 14.13/3.74 |
% 14.13/3.74 | Equations (514) can reduce 52 to:
% 14.13/3.74 | (518) ~ (e12 = e11)
% 14.13/3.74 |
% 14.13/3.74 | Simplifying 518 yields:
% 14.13/3.74 | (65) ~ (e12 = e11)
% 14.13/3.74 |
% 14.13/3.74 | From (514) and (88) follows:
% 14.13/3.74 | (520) h1(e11) = all_0_90_90
% 14.13/3.74 |
% 14.13/3.74 | Instantiating formula (73) with e11, all_0_90_90, e21 and discharging atoms h1(e11) = all_0_90_90, h1(e11) = e21, yields:
% 14.13/3.74 | (521) all_0_90_90 = e21
% 14.13/3.74 |
% 14.13/3.74 | Instantiating formula (73) with e10, all_0_86_86, e20 and discharging atoms h1(e10) = all_0_86_86, h1(e10) = e20, yields:
% 14.13/3.74 | (522) all_0_86_86 = e20
% 14.13/3.74 |
% 14.13/3.74 | From (521) and (520) follows:
% 14.13/3.74 | (294) h1(e11) = e21
% 14.13/3.74 |
% 14.13/3.74 | From (522) and (510) follows:
% 14.13/3.74 | (293) h1(e10) = e20
% 14.13/3.74 |
% 14.13/3.74 +-Applying beta-rule and splitting (116), into two cases.
% 14.13/3.74 |-Branch one:
% 14.13/3.74 | (525) all_0_138_138 = e10
% 14.13/3.74 |
% 14.13/3.74 | Equations (525) can reduce 12 to:
% 14.13/3.74 | (526) ~ (all_0_141_141 = e10)
% 14.13/3.74 |
% 14.13/3.74 | Simplifying 526 yields:
% 14.13/3.74 | (527) ~ (all_0_141_141 = e10)
% 14.13/3.74 |
% 14.13/3.74 | Equations (525) can reduce 109 to:
% 14.13/3.74 | (528) ~ (all_0_149_149 = e10)
% 14.13/3.74 |
% 14.13/3.74 | Simplifying 528 yields:
% 14.13/3.74 | (529) ~ (all_0_149_149 = e10)
% 14.13/3.74 |
% 14.13/3.74 | Equations (525) can reduce 268 to:
% 14.13/3.74 | (530) ~ (e12 = e10)
% 14.13/3.74 |
% 14.13/3.74 | Simplifying 530 yields:
% 14.13/3.74 | (133) ~ (e12 = e10)
% 14.13/3.74 |
% 14.13/3.74 | Equations (525) can reduce 237 to:
% 14.13/3.74 | (532) ~ (e11 = e10)
% 14.13/3.74 |
% 14.13/3.74 | Simplifying 532 yields:
% 14.13/3.74 | (252) ~ (e11 = e10)
% 14.13/3.74 |
% 14.13/3.74 | From (525) and (21) follows:
% 14.13/3.74 | (534) op1(e13, e10) = all_0_112_112
% 14.13/3.74 |
% 14.13/3.74 | From (525) and (339) follows:
% 14.13/3.74 | (535) h1(e10) = all_0_82_82
% 14.13/3.74 |
% 14.13/3.74 +-Applying beta-rule and splitting (17), into two cases.
% 14.13/3.74 |-Branch one:
% 14.13/3.74 | (536) all_0_137_137 = e13
% 14.13/3.74 |
% 14.13/3.74 | Equations (536) can reduce 368 to:
% 14.13/3.74 | (537) ~ (all_0_148_148 = e13)
% 14.13/3.74 |
% 14.13/3.74 | Simplifying 537 yields:
% 14.13/3.74 | (199) ~ (all_0_148_148 = e13)
% 14.13/3.74 |
% 14.13/3.74 | From (536) and (105) follows:
% 14.13/3.74 | (539) h1(e13) = all_0_81_81
% 14.13/3.74 |
% 14.13/3.74 | Instantiating formula (351) with e13, e10, all_0_112_112, e12 and discharging atoms op1(e13, e10) = all_0_112_112, op1(e13, e10) = e12, yields:
% 14.13/3.74 | (540) all_0_112_112 = e12
% 14.13/3.74 |
% 14.13/3.74 | Instantiating formula (73) with e13, all_0_81_81, e23 and discharging atoms h1(e13) = all_0_81_81, h1(e13) = e23, yields:
% 14.13/3.74 | (541) all_0_81_81 = e23
% 14.13/3.74 |
% 14.13/3.74 | Instantiating formula (73) with e10, all_0_82_82, e20 and discharging atoms h1(e10) = all_0_82_82, h1(e10) = e20, yields:
% 14.13/3.74 | (542) all_0_82_82 = e20
% 14.13/3.74 |
% 14.13/3.74 | From (541) and (539) follows:
% 14.13/3.74 | (206) h1(e13) = e23
% 14.13/3.74 |
% 14.13/3.74 | From (542) and (535) follows:
% 14.13/3.74 | (293) h1(e10) = e20
% 14.13/3.74 |
% 14.13/3.74 +-Applying beta-rule and splitting (55), into two cases.
% 14.13/3.74 |-Branch one:
% 14.13/3.74 | (545) all_0_135_135 = e21
% 14.13/3.74 |
% 14.13/3.74 | Equations (545) can reduce 415 to:
% 14.13/3.74 | (151) ~ (e21 = e20)
% 14.13/3.74 |
% 14.13/3.74 +-Applying beta-rule and splitting (91), into two cases.
% 14.13/3.74 |-Branch one:
% 14.13/3.74 | (547) all_0_134_134 = e22
% 14.13/3.74 |
% 14.13/3.74 | Combining equations (404,547) yields a new equation:
% 14.13/3.74 | (548) e22 = e20
% 14.13/3.74 |
% 14.13/3.74 | Equations (548) can reduce 238 to:
% 14.13/3.74 | (394) $false
% 14.13/3.74 |
% 14.13/3.74 |-The branch is then unsatisfiable
% 14.13/3.74 |-Branch two:
% 14.13/3.74 | (550) ~ (all_0_134_134 = e22)
% 14.13/3.74 | (551) all_0_135_135 = e22 | all_0_136_136 = e22
% 14.13/3.74 |
% 14.13/3.74 +-Applying beta-rule and splitting (551), into two cases.
% 14.13/3.74 |-Branch one:
% 14.13/3.74 | (552) all_0_135_135 = e22
% 14.13/3.74 |
% 14.13/3.74 | Combining equations (552,545) yields a new equation:
% 14.13/3.74 | (553) e22 = e21
% 14.13/3.74 |
% 14.13/3.74 | Simplifying 553 yields:
% 14.13/3.74 | (554) e22 = e21
% 14.13/3.74 |
% 14.13/3.74 | Equations (554) can reduce 310 to:
% 14.13/3.74 | (394) $false
% 14.13/3.74 |
% 14.13/3.74 |-The branch is then unsatisfiable
% 14.13/3.74 |-Branch two:
% 14.13/3.74 | (556) ~ (all_0_135_135 = e22)
% 14.13/3.74 | (557) all_0_136_136 = e22
% 14.13/3.74 |
% 14.13/3.74 | Equations (557) can reduce 247 to:
% 14.13/3.74 | (454) ~ (all_0_128_128 = e22)
% 14.13/3.74 |
% 14.13/3.74 | Equations (557) can reduce 295 to:
% 14.13/3.74 | (559) ~ (all_0_132_132 = e22)
% 14.13/3.74 |
% 14.13/3.74 | Equations (557) can reduce 408 to:
% 14.13/3.74 | (238) ~ (e22 = e20)
% 14.13/3.74 |
% 14.13/3.74 +-Applying beta-rule and splitting (312), into two cases.
% 14.13/3.74 |-Branch one:
% 14.13/3.74 | (561) all_0_127_127 = e22
% 14.13/3.74 |
% 14.13/3.74 | Equations (561) can reduce 35 to:
% 14.13/3.74 | (562) ~ (all_0_126_126 = e22)
% 14.13/3.74 |
% 14.13/3.74 | Equations (561) can reduce 380 to:
% 14.13/3.74 | (563) ~ (all_0_128_128 = e22)
% 14.13/3.74 |
% 14.13/3.74 | Simplifying 563 yields:
% 14.13/3.74 | (454) ~ (all_0_128_128 = e22)
% 14.13/3.74 |
% 14.13/3.74 | Equations (561) can reduce 444 to:
% 14.13/3.74 | (565) ~ (e23 = e22)
% 14.13/3.74 |
% 14.13/3.74 | Simplifying 565 yields:
% 14.13/3.74 | (179) ~ (e23 = e22)
% 14.13/3.74 |
% 14.13/3.74 | Equations (561) can reduce 413 to:
% 14.13/3.74 | (238) ~ (e22 = e20)
% 14.13/3.74 |
% 14.13/3.74 +-Applying beta-rule and splitting (251), into two cases.
% 14.13/3.74 |-Branch one:
% 14.13/3.75 | (568) all_0_126_126 = e20
% 14.13/3.75 |
% 14.13/3.75 | Equations (568) can reduce 387 to:
% 14.13/3.75 | (394) $false
% 14.13/3.75 |
% 14.13/3.75 |-The branch is then unsatisfiable
% 14.13/3.75 |-Branch two:
% 14.13/3.75 | (387) ~ (all_0_126_126 = e20)
% 14.13/3.75 | (571) all_0_126_126 = e23 | all_0_126_126 = e22
% 14.13/3.75 |
% 14.13/3.75 +-Applying beta-rule and splitting (22), into two cases.
% 14.13/3.75 |-Branch one:
% 14.13/3.75 | (572) all_0_130_130 = e22
% 14.13/3.75 |
% 14.13/3.75 | Equations (572) can reduce 356 to:
% 14.13/3.75 | (573) ~ (all_0_132_132 = e22)
% 14.13/3.75 |
% 14.13/3.75 | Simplifying 573 yields:
% 14.13/3.75 | (559) ~ (all_0_132_132 = e22)
% 14.13/3.75 |
% 14.13/3.75 | Equations (572) can reduce 16 to:
% 14.13/3.75 | (310) ~ (e22 = e21)
% 14.13/3.75 |
% 14.13/3.75 | Equations (572) can reduce 406 to:
% 14.13/3.75 | (238) ~ (e22 = e20)
% 14.13/3.75 |
% 14.13/3.75 +-Applying beta-rule and splitting (29), into two cases.
% 14.13/3.75 |-Branch one:
% 14.13/3.75 | (452) all_0_127_127 = e21
% 14.13/3.75 |
% 14.13/3.75 | Combining equations (561,452) yields a new equation:
% 14.13/3.75 | (553) e22 = e21
% 14.13/3.75 |
% 14.13/3.75 | Simplifying 553 yields:
% 14.13/3.75 | (554) e22 = e21
% 14.13/3.75 |
% 14.13/3.75 | Equations (554) can reduce 310 to:
% 14.13/3.75 | (394) $false
% 14.13/3.75 |
% 14.13/3.75 |-The branch is then unsatisfiable
% 14.13/3.75 |-Branch two:
% 14.13/3.75 | (464) ~ (all_0_127_127 = e21)
% 14.13/3.75 | (582) all_0_128_128 = e21 | all_0_129_129 = e21
% 14.13/3.75 |
% 14.13/3.75 +-Applying beta-rule and splitting (56), into two cases.
% 14.13/3.75 |-Branch one:
% 14.13/3.75 | (583) all_0_128_128 = e21
% 14.13/3.75 |
% 14.13/3.75 | Equations (583) can reduce 454 to:
% 14.13/3.75 | (400) ~ (e22 = e21)
% 14.13/3.75 |
% 14.13/3.75 | Simplifying 400 yields:
% 14.13/3.75 | (310) ~ (e22 = e21)
% 14.13/3.75 |
% 14.13/3.75 | Equations (583) can reduce 388 to:
% 14.13/3.75 | (151) ~ (e21 = e20)
% 14.13/3.75 |
% 14.13/3.75 +-Applying beta-rule and splitting (63), into two cases.
% 14.13/3.75 |-Branch one:
% 14.13/3.75 | (587) all_0_130_130 = e23
% 14.13/3.75 |
% 14.13/3.75 | Combining equations (587,572) yields a new equation:
% 14.13/3.75 | (588) e23 = e22
% 14.13/3.75 |
% 14.13/3.75 | Simplifying 588 yields:
% 14.13/3.75 | (589) e23 = e22
% 14.13/3.75 |
% 14.13/3.75 | Equations (589) can reduce 179 to:
% 14.13/3.75 | (394) $false
% 14.13/3.75 |
% 14.13/3.75 |-The branch is then unsatisfiable
% 14.13/3.75 |-Branch two:
% 14.13/3.75 | (591) ~ (all_0_130_130 = e23)
% 14.13/3.75 | (592) all_0_131_131 = e23 | all_0_132_132 = e23
% 14.13/3.75 |
% 14.13/3.75 | Equations (572) can reduce 591 to:
% 14.13/3.75 | (565) ~ (e23 = e22)
% 14.13/3.75 |
% 14.13/3.75 | Simplifying 565 yields:
% 14.13/3.75 | (179) ~ (e23 = e22)
% 14.13/3.75 |
% 14.13/3.75 +-Applying beta-rule and splitting (381), into two cases.
% 14.13/3.75 |-Branch one:
% 14.13/3.75 | (595) all_0_126_126 = e23
% 14.13/3.75 |
% 14.13/3.75 | Equations (595) can reduce 387 to:
% 14.13/3.75 | (235) ~ (e23 = e20)
% 14.13/3.75 |
% 14.13/3.75 +-Applying beta-rule and splitting (592), into two cases.
% 14.13/3.75 |-Branch one:
% 14.13/3.75 | (597) all_0_131_131 = e23
% 14.13/3.75 |
% 14.13/3.75 | Combining equations (597,498) yields a new equation:
% 14.13/3.75 | (598) e23 = e20
% 14.13/3.75 |
% 14.13/3.75 | Simplifying 598 yields:
% 14.13/3.75 | (424) e23 = e20
% 14.13/3.75 |
% 14.13/3.75 | Equations (424) can reduce 235 to:
% 14.13/3.75 | (394) $false
% 14.13/3.75 |
% 14.13/3.75 |-The branch is then unsatisfiable
% 14.13/3.75 |-Branch two:
% 14.13/3.75 | (601) ~ (all_0_131_131 = e23)
% 14.13/3.75 | (443) all_0_132_132 = e23
% 14.13/3.75 |
% 14.13/3.75 | Equations (443) can reduce 559 to:
% 14.13/3.75 | (179) ~ (e23 = e22)
% 14.13/3.75 |
% 14.13/3.75 +-Applying beta-rule and splitting (171), into two cases.
% 14.13/3.75 |-Branch one:
% 14.13/3.75 | (429) (all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)) | (all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20)) | (all_0_127_127 = e21 & all_0_136_136 = e20 & ~ (all_0_128_128 = e22)) | (all_0_127_127 = e20 & all_0_133_133 = e21 & ~ (all_0_132_132 = e20)) | (all_0_128_128 = e22 & ~ (all_0_125_125 = e23) & ~ (all_0_127_127 = e21)) | (all_0_132_132 = e22 & all_0_135_135 = e20 & ~ (all_0_131_131 = e21))
% 14.13/3.75 |
% 14.13/3.75 +-Applying beta-rule and splitting (429), into two cases.
% 14.13/3.75 |-Branch one:
% 14.13/3.75 | (430) (all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)) | (all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20)) | (all_0_127_127 = e21 & all_0_136_136 = e20 & ~ (all_0_128_128 = e22)) | (all_0_127_127 = e20 & all_0_133_133 = e21 & ~ (all_0_132_132 = e20)) | (all_0_128_128 = e22 & ~ (all_0_125_125 = e23) & ~ (all_0_127_127 = e21))
% 14.13/3.75 |
% 14.13/3.75 +-Applying beta-rule and splitting (430), into two cases.
% 14.13/3.75 |-Branch one:
% 14.13/3.75 | (431) (all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)) | (all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20)) | (all_0_127_127 = e21 & all_0_136_136 = e20 & ~ (all_0_128_128 = e22)) | (all_0_127_127 = e20 & all_0_133_133 = e21 & ~ (all_0_132_132 = e20))
% 14.13/3.75 |
% 14.13/3.75 +-Applying beta-rule and splitting (431), into two cases.
% 14.13/3.75 |-Branch one:
% 14.13/3.75 | (432) (all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)) | (all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20)) | (all_0_127_127 = e21 & all_0_136_136 = e20 & ~ (all_0_128_128 = e22))
% 14.13/3.75 |
% 14.13/3.75 +-Applying beta-rule and splitting (432), into two cases.
% 14.13/3.75 |-Branch one:
% 14.13/3.75 | (433) (all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)) | (all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20))
% 14.13/3.75 |
% 14.13/3.75 +-Applying beta-rule and splitting (433), into two cases.
% 14.13/3.75 |-Branch one:
% 14.13/3.75 | (434) (all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23))
% 14.13/3.75 |
% 14.13/3.75 +-Applying beta-rule and splitting (434), into two cases.
% 14.13/3.75 |-Branch one:
% 14.13/3.75 | (435) all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)
% 14.13/3.75 |
% 14.13/3.75 | Applying alpha-rule on (435) yields:
% 14.13/3.75 | (436) all_0_124_124 = e23
% 14.13/3.75 | (437) all_0_132_132 = e22
% 14.13/3.75 | (398) ~ (all_0_131_131 = e21)
% 14.13/3.75 |
% 14.13/3.75 | Combining equations (443,437) yields a new equation:
% 14.13/3.75 | (588) e23 = e22
% 14.13/3.75 |
% 14.13/3.75 | Simplifying 588 yields:
% 14.13/3.75 | (589) e23 = e22
% 14.13/3.75 |
% 14.13/3.75 | Equations (589) can reduce 179 to:
% 14.13/3.75 | (394) $false
% 14.13/3.75 |
% 14.13/3.75 |-The branch is then unsatisfiable
% 14.13/3.75 |-Branch two:
% 14.13/3.75 | (441) all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)
% 14.13/3.75 |
% 14.13/3.75 | Applying alpha-rule on (441) yields:
% 14.13/3.75 | (442) all_0_126_126 = e22
% 14.13/3.75 | (443) all_0_132_132 = e23
% 14.13/3.75 | (444) ~ (all_0_127_127 = e23)
% 14.13/3.75 |
% 14.13/3.75 | Combining equations (442,595) yields a new equation:
% 14.13/3.75 | (589) e23 = e22
% 14.13/3.75 |
% 14.13/3.75 | Equations (589) can reduce 179 to:
% 14.13/3.75 | (394) $false
% 14.13/3.75 |
% 14.13/3.75 |-The branch is then unsatisfiable
% 14.13/3.75 |-Branch two:
% 14.13/3.75 | (446) all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20)
% 14.13/3.75 |
% 14.13/3.75 | Applying alpha-rule on (446) yields:
% 14.13/3.75 | (442) all_0_126_126 = e22
% 14.13/3.75 | (444) ~ (all_0_127_127 = e23)
% 14.13/3.75 | (449) ~ (all_0_134_134 = e20)
% 14.13/3.75 |
% 14.13/3.75 | Combining equations (595,442) yields a new equation:
% 14.13/3.75 | (588) e23 = e22
% 14.13/3.75 |
% 14.13/3.75 | Simplifying 588 yields:
% 14.13/3.75 | (589) e23 = e22
% 14.13/3.75 |
% 14.13/3.75 | Equations (589) can reduce 179 to:
% 14.13/3.75 | (394) $false
% 14.13/3.75 |
% 14.13/3.75 |-The branch is then unsatisfiable
% 14.13/3.75 |-Branch two:
% 14.13/3.75 | (451) all_0_127_127 = e21 & all_0_136_136 = e20 & ~ (all_0_128_128 = e22)
% 14.13/3.75 |
% 14.13/3.75 | Applying alpha-rule on (451) yields:
% 14.13/3.75 | (452) all_0_127_127 = e21
% 14.13/3.75 | (453) all_0_136_136 = e20
% 14.13/3.75 | (454) ~ (all_0_128_128 = e22)
% 14.13/3.75 |
% 14.13/3.75 | Combining equations (452,561) yields a new equation:
% 14.13/3.75 | (554) e22 = e21
% 14.13/3.75 |
% 14.13/3.75 | Combining equations (557,453) yields a new equation:
% 14.13/3.75 | (635) e22 = e20
% 14.13/3.75 |
% 14.13/3.75 | Simplifying 635 yields:
% 14.13/3.75 | (548) e22 = e20
% 14.13/3.75 |
% 14.13/3.75 | Combining equations (548,554) yields a new equation:
% 14.13/3.75 | (637) e21 = e20
% 14.13/3.75 |
% 14.13/3.75 | Equations (637) can reduce 151 to:
% 14.13/3.75 | (394) $false
% 14.13/3.75 |
% 14.13/3.75 |-The branch is then unsatisfiable
% 14.13/3.76 |-Branch two:
% 14.13/3.76 | (456) all_0_127_127 = e20 & all_0_133_133 = e21 & ~ (all_0_132_132 = e20)
% 14.13/3.76 |
% 14.13/3.76 | Applying alpha-rule on (456) yields:
% 14.13/3.76 | (457) all_0_127_127 = e20
% 14.13/3.76 | (396) all_0_133_133 = e21
% 14.13/3.76 | (459) ~ (all_0_132_132 = e20)
% 14.13/3.76 |
% 14.13/3.76 | Combining equations (457,561) yields a new equation:
% 14.13/3.76 | (548) e22 = e20
% 14.13/3.76 |
% 14.13/3.76 | Equations (548) can reduce 238 to:
% 14.13/3.76 | (394) $false
% 14.13/3.76 |
% 14.13/3.76 |-The branch is then unsatisfiable
% 14.13/3.76 |-Branch two:
% 14.13/3.76 | (461) all_0_128_128 = e22 & ~ (all_0_125_125 = e23) & ~ (all_0_127_127 = e21)
% 14.13/3.76 |
% 14.13/3.76 | Applying alpha-rule on (461) yields:
% 14.13/3.76 | (462) all_0_128_128 = e22
% 14.13/3.76 | (463) ~ (all_0_125_125 = e23)
% 14.13/3.76 | (464) ~ (all_0_127_127 = e21)
% 14.13/3.76 |
% 14.13/3.76 | Combining equations (583,462) yields a new equation:
% 14.13/3.76 | (554) e22 = e21
% 14.13/3.76 |
% 14.13/3.76 | Equations (554) can reduce 310 to:
% 14.13/3.76 | (394) $false
% 14.13/3.76 |
% 14.13/3.76 |-The branch is then unsatisfiable
% 14.13/3.76 |-Branch two:
% 14.13/3.76 | (466) all_0_132_132 = e22 & all_0_135_135 = e20 & ~ (all_0_131_131 = e21)
% 14.13/3.76 |
% 14.13/3.76 | Applying alpha-rule on (466) yields:
% 14.13/3.76 | (437) all_0_132_132 = e22
% 14.13/3.76 | (468) all_0_135_135 = e20
% 14.13/3.76 | (398) ~ (all_0_131_131 = e21)
% 14.13/3.76 |
% 14.13/3.76 | Combining equations (545,468) yields a new equation:
% 14.13/3.76 | (655) e21 = e20
% 14.13/3.76 |
% 14.13/3.76 | Simplifying 655 yields:
% 14.13/3.76 | (637) e21 = e20
% 14.13/3.76 |
% 14.13/3.76 | Equations (637) can reduce 151 to:
% 14.13/3.76 | (394) $false
% 14.13/3.76 |
% 14.13/3.76 |-The branch is then unsatisfiable
% 14.13/3.76 |-Branch two:
% 14.13/3.76 | (471) all_0_136_136 = e20 & ~ (all_0_125_125 = e23)
% 14.13/3.76 |
% 14.13/3.76 | Applying alpha-rule on (471) yields:
% 14.13/3.76 | (453) all_0_136_136 = e20
% 14.13/3.76 | (463) ~ (all_0_125_125 = e23)
% 14.13/3.76 |
% 14.13/3.76 | Combining equations (453,557) yields a new equation:
% 14.13/3.76 | (548) e22 = e20
% 14.13/3.76 |
% 14.13/3.76 | Equations (548) can reduce 238 to:
% 14.13/3.76 | (394) $false
% 14.13/3.76 |
% 14.13/3.76 |-The branch is then unsatisfiable
% 14.13/3.76 |-Branch two:
% 14.13/3.76 | (663) ~ (all_0_126_126 = e23)
% 14.13/3.76 | (587) all_0_130_130 = e23
% 14.13/3.76 |
% 14.13/3.76 | Combining equations (587,572) yields a new equation:
% 14.13/3.76 | (588) e23 = e22
% 14.13/3.76 |
% 14.13/3.76 | Simplifying 588 yields:
% 14.13/3.76 | (589) e23 = e22
% 14.13/3.76 |
% 14.13/3.76 | Equations (589) can reduce 179 to:
% 14.13/3.76 | (394) $false
% 14.13/3.76 |
% 14.13/3.76 |-The branch is then unsatisfiable
% 14.13/3.76 |-Branch two:
% 14.13/3.76 | (668) ~ (all_0_128_128 = e21)
% 14.13/3.76 | (669) all_0_132_132 = e21 | all_0_136_136 = e21
% 14.13/3.76 |
% 14.13/3.76 +-Applying beta-rule and splitting (582), into two cases.
% 14.13/3.76 |-Branch one:
% 14.13/3.76 | (583) all_0_128_128 = e21
% 14.13/3.76 |
% 14.13/3.76 | Equations (583) can reduce 668 to:
% 14.13/3.76 | (394) $false
% 14.13/3.76 |
% 14.13/3.76 |-The branch is then unsatisfiable
% 14.13/3.76 |-Branch two:
% 14.13/3.76 | (668) ~ (all_0_128_128 = e21)
% 14.13/3.76 | (673) all_0_129_129 = e21
% 14.13/3.76 |
% 14.13/3.76 | Combining equations (386,673) yields a new equation:
% 14.13/3.76 | (637) e21 = e20
% 14.13/3.76 |
% 14.13/3.76 | Equations (637) can reduce 151 to:
% 14.13/3.76 | (394) $false
% 14.13/3.76 |
% 14.13/3.76 |-The branch is then unsatisfiable
% 14.13/3.76 |-Branch two:
% 14.13/3.76 | (676) ~ (all_0_130_130 = e22)
% 14.13/3.76 | (677) all_0_131_131 = e22 | all_0_132_132 = e22
% 14.13/3.76 |
% 14.13/3.76 +-Applying beta-rule and splitting (4), into two cases.
% 14.13/3.76 |-Branch one:
% 14.13/3.76 | (494) all_0_130_130 = e20
% 14.13/3.76 |
% 14.13/3.76 | Equations (494) can reduce 406 to:
% 14.13/3.76 | (394) $false
% 14.13/3.76 |
% 14.13/3.76 |-The branch is then unsatisfiable
% 14.13/3.76 |-Branch two:
% 14.13/3.76 | (406) ~ (all_0_130_130 = e20)
% 14.13/3.76 | (681) all_0_130_130 = e23 | all_0_130_130 = e22
% 14.13/3.76 |
% 14.13/3.76 +-Applying beta-rule and splitting (681), into two cases.
% 14.13/3.76 |-Branch one:
% 14.13/3.76 | (572) all_0_130_130 = e22
% 14.13/3.76 |
% 14.13/3.76 | Equations (572) can reduce 676 to:
% 14.13/3.76 | (394) $false
% 14.13/3.76 |
% 14.13/3.76 |-The branch is then unsatisfiable
% 14.13/3.76 |-Branch two:
% 14.13/3.76 | (676) ~ (all_0_130_130 = e22)
% 14.13/3.76 | (587) all_0_130_130 = e23
% 14.13/3.76 |
% 14.13/3.76 | Equations (587) can reduce 676 to:
% 14.13/3.76 | (179) ~ (e23 = e22)
% 14.13/3.76 |
% 14.13/3.76 +-Applying beta-rule and splitting (344), into two cases.
% 14.13/3.76 |-Branch one:
% 14.13/3.76 | (442) all_0_126_126 = e22
% 14.13/3.76 |
% 14.13/3.76 | Equations (442) can reduce 562 to:
% 14.13/3.76 | (394) $false
% 14.13/3.76 |
% 14.13/3.76 |-The branch is then unsatisfiable
% 14.13/3.76 |-Branch two:
% 14.13/3.76 | (562) ~ (all_0_126_126 = e22)
% 14.13/3.76 | (690) all_0_130_130 = e22 | all_0_134_134 = e22
% 14.13/3.76 |
% 14.13/3.76 +-Applying beta-rule and splitting (690), into two cases.
% 14.13/3.76 |-Branch one:
% 14.13/3.76 | (572) all_0_130_130 = e22
% 14.13/3.76 |
% 14.13/3.76 | Combining equations (587,572) yields a new equation:
% 14.13/3.76 | (588) e23 = e22
% 14.13/3.76 |
% 14.13/3.76 | Simplifying 588 yields:
% 14.13/3.76 | (589) e23 = e22
% 14.13/3.76 |
% 14.13/3.76 | Equations (589) can reduce 179 to:
% 14.13/3.76 | (394) $false
% 14.13/3.76 |
% 14.13/3.76 |-The branch is then unsatisfiable
% 14.13/3.76 |-Branch two:
% 14.13/3.76 | (676) ~ (all_0_130_130 = e22)
% 14.13/3.76 | (547) all_0_134_134 = e22
% 14.13/3.76 |
% 14.13/3.76 | Combining equations (547,404) yields a new equation:
% 14.13/3.76 | (635) e22 = e20
% 14.13/3.76 |
% 14.13/3.76 | Simplifying 635 yields:
% 14.13/3.76 | (548) e22 = e20
% 14.13/3.76 |
% 14.13/3.76 | Equations (548) can reduce 238 to:
% 14.13/3.76 | (394) $false
% 14.13/3.76 |
% 14.13/3.76 |-The branch is then unsatisfiable
% 14.13/3.76 |-Branch two:
% 14.13/3.76 | (700) ~ (all_0_127_127 = e22)
% 14.13/3.76 | (701) all_0_131_131 = e22 | all_0_135_135 = e22
% 14.13/3.76 |
% 14.13/3.76 +-Applying beta-rule and splitting (22), into two cases.
% 14.13/3.76 |-Branch one:
% 14.13/3.76 | (572) all_0_130_130 = e22
% 14.13/3.76 |
% 14.13/3.76 | Equations (572) can reduce 239 to:
% 14.13/3.76 | (562) ~ (all_0_126_126 = e22)
% 14.13/3.76 |
% 14.13/3.76 +-Applying beta-rule and splitting (232), into two cases.
% 14.13/3.76 |-Branch one:
% 14.13/3.76 | (442) all_0_126_126 = e22
% 14.13/3.76 |
% 14.13/3.76 | Equations (442) can reduce 562 to:
% 14.13/3.76 | (394) $false
% 14.13/3.76 |
% 14.13/3.76 |-The branch is then unsatisfiable
% 14.13/3.76 |-Branch two:
% 14.13/3.76 | (562) ~ (all_0_126_126 = e22)
% 14.13/3.76 | (707) all_0_127_127 = e22 | all_0_128_128 = e22
% 14.13/3.76 |
% 14.13/3.76 +-Applying beta-rule and splitting (707), into two cases.
% 14.13/3.76 |-Branch one:
% 14.13/3.76 | (561) all_0_127_127 = e22
% 14.13/3.76 |
% 14.13/3.76 | Equations (561) can reduce 700 to:
% 14.13/3.76 | (394) $false
% 14.13/3.76 |
% 14.13/3.76 |-The branch is then unsatisfiable
% 14.13/3.76 |-Branch two:
% 14.13/3.76 | (700) ~ (all_0_127_127 = e22)
% 14.13/3.76 | (462) all_0_128_128 = e22
% 14.13/3.76 |
% 14.13/3.76 | Equations (462) can reduce 454 to:
% 14.13/3.76 | (394) $false
% 14.13/3.76 |
% 14.13/3.76 |-The branch is then unsatisfiable
% 14.13/3.76 |-Branch two:
% 14.13/3.76 | (676) ~ (all_0_130_130 = e22)
% 14.13/3.76 | (677) all_0_131_131 = e22 | all_0_132_132 = e22
% 14.13/3.76 |
% 14.13/3.76 +-Applying beta-rule and splitting (677), into two cases.
% 14.13/3.76 |-Branch one:
% 14.13/3.77 | (715) all_0_131_131 = e22
% 14.13/3.77 |
% 14.13/3.77 | Combining equations (715,498) yields a new equation:
% 14.13/3.77 | (635) e22 = e20
% 14.13/3.77 |
% 14.13/3.77 | Simplifying 635 yields:
% 14.13/3.77 | (548) e22 = e20
% 14.13/3.77 |
% 14.13/3.77 | Equations (548) can reduce 238 to:
% 14.13/3.77 | (394) $false
% 14.13/3.77 |
% 14.13/3.77 |-The branch is then unsatisfiable
% 14.13/3.77 |-Branch two:
% 14.13/3.77 | (719) ~ (all_0_131_131 = e22)
% 14.13/3.77 | (437) all_0_132_132 = e22
% 14.13/3.77 |
% 14.13/3.77 | Equations (437) can reduce 559 to:
% 14.13/3.77 | (394) $false
% 14.13/3.77 |
% 14.13/3.77 |-The branch is then unsatisfiable
% 14.13/3.77 |-Branch two:
% 14.13/3.77 | (722) ~ (all_0_135_135 = e21)
% 14.13/3.77 | (723) all_0_136_136 = e21
% 14.13/3.77 |
% 14.13/3.77 | Equations (723) can reduce 247 to:
% 14.13/3.77 | (668) ~ (all_0_128_128 = e21)
% 14.13/3.77 |
% 14.13/3.77 | Equations (723) can reduce 408 to:
% 14.13/3.77 | (151) ~ (e21 = e20)
% 14.13/3.77 |
% 14.13/3.77 +-Applying beta-rule and splitting (91), into two cases.
% 14.13/3.77 |-Branch one:
% 14.13/3.77 | (547) all_0_134_134 = e22
% 14.13/3.77 |
% 14.13/3.77 | Combining equations (404,547) yields a new equation:
% 14.13/3.77 | (548) e22 = e20
% 14.13/3.77 |
% 14.13/3.77 | Equations (548) can reduce 238 to:
% 14.13/3.77 | (394) $false
% 14.13/3.77 |
% 14.13/3.77 |-The branch is then unsatisfiable
% 14.13/3.77 |-Branch two:
% 14.13/3.77 | (550) ~ (all_0_134_134 = e22)
% 14.13/3.77 | (551) all_0_135_135 = e22 | all_0_136_136 = e22
% 14.13/3.77 |
% 14.13/3.77 +-Applying beta-rule and splitting (551), into two cases.
% 14.13/3.77 |-Branch one:
% 14.13/3.77 | (552) all_0_135_135 = e22
% 14.13/3.77 |
% 14.13/3.77 | Equations (552) can reduce 53 to:
% 14.13/3.77 | (565) ~ (e23 = e22)
% 14.13/3.77 |
% 14.13/3.77 | Simplifying 565 yields:
% 14.13/3.77 | (179) ~ (e23 = e22)
% 14.13/3.77 |
% 14.13/3.77 | Equations (552) can reduce 415 to:
% 14.13/3.77 | (238) ~ (e22 = e20)
% 14.13/3.77 |
% 14.13/3.77 +-Applying beta-rule and splitting (29), into two cases.
% 14.13/3.77 |-Branch one:
% 14.13/3.77 | (452) all_0_127_127 = e21
% 14.13/3.77 |
% 14.13/3.77 | Equations (452) can reduce 413 to:
% 14.13/3.77 | (151) ~ (e21 = e20)
% 14.13/3.77 |
% 14.13/3.77 +-Applying beta-rule and splitting (381), into two cases.
% 14.13/3.77 |-Branch one:
% 14.13/3.77 | (595) all_0_126_126 = e23
% 14.13/3.77 |
% 14.13/3.77 | Equations (595) can reduce 218 to:
% 14.13/3.77 | (738) ~ (all_0_128_128 = e23)
% 14.13/3.77 |
% 14.13/3.77 | Simplifying 738 yields:
% 14.13/3.77 | (739) ~ (all_0_128_128 = e23)
% 14.13/3.77 |
% 14.13/3.77 | Equations (595) can reduce 387 to:
% 14.13/3.77 | (235) ~ (e23 = e20)
% 14.13/3.77 |
% 14.13/3.77 +-Applying beta-rule and splitting (344), into two cases.
% 14.13/3.77 |-Branch one:
% 14.13/3.77 | (442) all_0_126_126 = e22
% 14.13/3.77 |
% 14.13/3.77 | Combining equations (595,442) yields a new equation:
% 14.13/3.77 | (588) e23 = e22
% 14.13/3.77 |
% 14.13/3.77 | Simplifying 588 yields:
% 14.13/3.77 | (589) e23 = e22
% 14.13/3.77 |
% 14.13/3.77 | Equations (589) can reduce 179 to:
% 14.13/3.77 | (394) $false
% 14.13/3.77 |
% 14.13/3.77 |-The branch is then unsatisfiable
% 14.13/3.77 |-Branch two:
% 14.13/3.77 | (562) ~ (all_0_126_126 = e22)
% 14.13/3.77 | (690) all_0_130_130 = e22 | all_0_134_134 = e22
% 14.13/3.77 |
% 14.13/3.77 +-Applying beta-rule and splitting (690), into two cases.
% 14.13/3.77 |-Branch one:
% 14.13/3.77 | (572) all_0_130_130 = e22
% 14.13/3.77 |
% 14.13/3.77 | Equations (572) can reduce 356 to:
% 14.13/3.77 | (573) ~ (all_0_132_132 = e22)
% 14.13/3.77 |
% 14.13/3.77 | Simplifying 573 yields:
% 14.13/3.77 | (559) ~ (all_0_132_132 = e22)
% 14.13/3.77 |
% 14.13/3.77 | Equations (572) can reduce 16 to:
% 14.13/3.77 | (310) ~ (e22 = e21)
% 14.13/3.77 |
% 14.13/3.77 +-Applying beta-rule and splitting (303), into two cases.
% 14.13/3.77 |-Branch one:
% 14.13/3.77 | (462) all_0_128_128 = e22
% 14.13/3.77 |
% 14.13/3.77 | Equations (462) can reduce 69 to:
% 14.13/3.77 | (573) ~ (all_0_132_132 = e22)
% 14.13/3.77 |
% 14.13/3.77 | Simplifying 573 yields:
% 14.13/3.77 | (559) ~ (all_0_132_132 = e22)
% 14.13/3.77 |
% 14.13/3.77 | Equations (462) can reduce 739 to:
% 14.13/3.77 | (565) ~ (e23 = e22)
% 14.13/3.77 |
% 14.13/3.77 | Simplifying 565 yields:
% 14.13/3.77 | (179) ~ (e23 = e22)
% 14.13/3.77 |
% 14.13/3.77 | Equations (462) can reduce 388 to:
% 14.13/3.77 | (238) ~ (e22 = e20)
% 14.13/3.77 |
% 14.13/3.77 +-Applying beta-rule and splitting (59), into two cases.
% 14.13/3.77 |-Branch one:
% 14.13/3.77 | (419) all_0_125_125 = e23
% 14.13/3.77 |
% 14.13/3.77 | Combining equations (416,419) yields a new equation:
% 14.13/3.77 | (424) e23 = e20
% 14.13/3.77 |
% 14.13/3.77 | Equations (424) can reduce 235 to:
% 14.13/3.77 | (394) $false
% 14.13/3.77 |
% 14.13/3.77 |-The branch is then unsatisfiable
% 14.13/3.77 |-Branch two:
% 14.13/3.77 | (463) ~ (all_0_125_125 = e23)
% 14.13/3.77 | (761) all_0_128_128 = e23 | all_0_132_132 = e23
% 14.13/3.77 |
% 14.13/3.77 +-Applying beta-rule and splitting (761), into two cases.
% 14.13/3.77 |-Branch one:
% 14.13/3.77 | (762) all_0_128_128 = e23
% 14.13/3.77 |
% 14.13/3.77 | Combining equations (462,762) yields a new equation:
% 14.13/3.77 | (589) e23 = e22
% 14.13/3.77 |
% 14.13/3.77 | Equations (589) can reduce 179 to:
% 14.13/3.77 | (394) $false
% 14.13/3.77 |
% 14.13/3.77 |-The branch is then unsatisfiable
% 14.13/3.77 |-Branch two:
% 14.13/3.77 | (739) ~ (all_0_128_128 = e23)
% 14.13/3.77 | (443) all_0_132_132 = e23
% 14.13/3.77 |
% 14.13/3.77 | Equations (443) can reduce 559 to:
% 14.13/3.77 | (179) ~ (e23 = e22)
% 14.13/3.77 |
% 14.13/3.77 +-Applying beta-rule and splitting (171), into two cases.
% 14.13/3.77 |-Branch one:
% 14.13/3.77 | (429) (all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)) | (all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20)) | (all_0_127_127 = e21 & all_0_136_136 = e20 & ~ (all_0_128_128 = e22)) | (all_0_127_127 = e20 & all_0_133_133 = e21 & ~ (all_0_132_132 = e20)) | (all_0_128_128 = e22 & ~ (all_0_125_125 = e23) & ~ (all_0_127_127 = e21)) | (all_0_132_132 = e22 & all_0_135_135 = e20 & ~ (all_0_131_131 = e21))
% 14.13/3.77 |
% 14.13/3.77 +-Applying beta-rule and splitting (429), into two cases.
% 14.13/3.77 |-Branch one:
% 14.13/3.77 | (430) (all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)) | (all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20)) | (all_0_127_127 = e21 & all_0_136_136 = e20 & ~ (all_0_128_128 = e22)) | (all_0_127_127 = e20 & all_0_133_133 = e21 & ~ (all_0_132_132 = e20)) | (all_0_128_128 = e22 & ~ (all_0_125_125 = e23) & ~ (all_0_127_127 = e21))
% 14.13/3.77 |
% 14.13/3.77 +-Applying beta-rule and splitting (430), into two cases.
% 14.13/3.77 |-Branch one:
% 14.13/3.77 | (431) (all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)) | (all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20)) | (all_0_127_127 = e21 & all_0_136_136 = e20 & ~ (all_0_128_128 = e22)) | (all_0_127_127 = e20 & all_0_133_133 = e21 & ~ (all_0_132_132 = e20))
% 14.13/3.77 |
% 14.13/3.77 +-Applying beta-rule and splitting (431), into two cases.
% 14.13/3.77 |-Branch one:
% 14.13/3.77 | (432) (all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)) | (all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20)) | (all_0_127_127 = e21 & all_0_136_136 = e20 & ~ (all_0_128_128 = e22))
% 14.13/3.77 |
% 14.13/3.77 +-Applying beta-rule and splitting (432), into two cases.
% 14.13/3.77 |-Branch one:
% 14.13/3.77 | (433) (all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)) | (all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20))
% 14.13/3.77 |
% 14.13/3.77 +-Applying beta-rule and splitting (433), into two cases.
% 14.13/3.77 |-Branch one:
% 14.13/3.77 | (434) (all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23))
% 14.13/3.77 |
% 14.13/3.77 +-Applying beta-rule and splitting (434), into two cases.
% 14.13/3.77 |-Branch one:
% 14.13/3.77 | (435) all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)
% 14.13/3.77 |
% 14.13/3.77 | Applying alpha-rule on (435) yields:
% 14.13/3.77 | (436) all_0_124_124 = e23
% 14.13/3.77 | (437) all_0_132_132 = e22
% 14.13/3.77 | (398) ~ (all_0_131_131 = e21)
% 14.13/3.77 |
% 14.13/3.77 | Combining equations (443,437) yields a new equation:
% 14.13/3.77 | (588) e23 = e22
% 14.13/3.77 |
% 14.13/3.77 | Simplifying 588 yields:
% 14.13/3.77 | (589) e23 = e22
% 14.13/3.77 |
% 14.13/3.77 | Equations (589) can reduce 179 to:
% 14.13/3.77 | (394) $false
% 14.13/3.77 |
% 14.13/3.77 |-The branch is then unsatisfiable
% 14.13/3.77 |-Branch two:
% 14.13/3.77 | (441) all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)
% 14.13/3.77 |
% 14.13/3.77 | Applying alpha-rule on (441) yields:
% 14.13/3.77 | (442) all_0_126_126 = e22
% 14.13/3.77 | (443) all_0_132_132 = e23
% 14.13/3.77 | (444) ~ (all_0_127_127 = e23)
% 14.13/3.78 |
% 14.13/3.78 | Combining equations (442,595) yields a new equation:
% 14.13/3.78 | (589) e23 = e22
% 14.13/3.78 |
% 14.13/3.78 | Equations (589) can reduce 179 to:
% 14.13/3.78 | (394) $false
% 14.13/3.78 |
% 14.13/3.78 |-The branch is then unsatisfiable
% 14.13/3.78 |-Branch two:
% 14.13/3.78 | (446) all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20)
% 14.13/3.78 |
% 14.13/3.78 | Applying alpha-rule on (446) yields:
% 14.13/3.78 | (442) all_0_126_126 = e22
% 14.13/3.78 | (444) ~ (all_0_127_127 = e23)
% 14.13/3.78 | (449) ~ (all_0_134_134 = e20)
% 14.13/3.78 |
% 14.13/3.78 | Combining equations (595,442) yields a new equation:
% 14.13/3.78 | (588) e23 = e22
% 14.13/3.78 |
% 14.13/3.78 | Simplifying 588 yields:
% 14.13/3.78 | (589) e23 = e22
% 14.13/3.78 |
% 14.13/3.78 | Equations (589) can reduce 179 to:
% 14.13/3.78 | (394) $false
% 14.13/3.78 |
% 14.13/3.78 |-The branch is then unsatisfiable
% 14.13/3.78 |-Branch two:
% 14.13/3.78 | (451) all_0_127_127 = e21 & all_0_136_136 = e20 & ~ (all_0_128_128 = e22)
% 14.13/3.78 |
% 14.13/3.78 | Applying alpha-rule on (451) yields:
% 14.13/3.78 | (452) all_0_127_127 = e21
% 14.13/3.78 | (453) all_0_136_136 = e20
% 14.13/3.78 | (454) ~ (all_0_128_128 = e22)
% 14.13/3.78 |
% 14.13/3.78 | Combining equations (453,723) yields a new equation:
% 14.13/3.78 | (637) e21 = e20
% 14.13/3.78 |
% 14.13/3.78 | Equations (637) can reduce 151 to:
% 14.13/3.78 | (394) $false
% 14.13/3.78 |
% 14.13/3.78 |-The branch is then unsatisfiable
% 14.13/3.78 |-Branch two:
% 14.13/3.78 | (456) all_0_127_127 = e20 & all_0_133_133 = e21 & ~ (all_0_132_132 = e20)
% 14.13/3.78 |
% 14.13/3.78 | Applying alpha-rule on (456) yields:
% 14.13/3.78 | (457) all_0_127_127 = e20
% 14.13/3.78 | (396) all_0_133_133 = e21
% 14.13/3.78 | (459) ~ (all_0_132_132 = e20)
% 14.13/3.78 |
% 14.13/3.78 | Combining equations (457,452) yields a new equation:
% 14.13/3.78 | (637) e21 = e20
% 14.13/3.78 |
% 14.13/3.78 | Equations (637) can reduce 151 to:
% 14.13/3.78 | (394) $false
% 14.13/3.78 |
% 14.13/3.78 |-The branch is then unsatisfiable
% 14.13/3.78 |-Branch two:
% 14.13/3.78 | (461) all_0_128_128 = e22 & ~ (all_0_125_125 = e23) & ~ (all_0_127_127 = e21)
% 14.13/3.78 |
% 14.13/3.78 | Applying alpha-rule on (461) yields:
% 14.13/3.78 | (462) all_0_128_128 = e22
% 14.13/3.78 | (463) ~ (all_0_125_125 = e23)
% 14.13/3.78 | (464) ~ (all_0_127_127 = e21)
% 14.13/3.78 |
% 14.13/3.78 | Equations (452) can reduce 464 to:
% 14.13/3.78 | (394) $false
% 14.13/3.78 |
% 14.13/3.78 |-The branch is then unsatisfiable
% 14.13/3.78 |-Branch two:
% 14.13/3.78 | (466) all_0_132_132 = e22 & all_0_135_135 = e20 & ~ (all_0_131_131 = e21)
% 14.13/3.78 |
% 14.13/3.78 | Applying alpha-rule on (466) yields:
% 14.13/3.78 | (437) all_0_132_132 = e22
% 14.13/3.78 | (468) all_0_135_135 = e20
% 14.13/3.78 | (398) ~ (all_0_131_131 = e21)
% 14.13/3.78 |
% 14.13/3.78 | Combining equations (468,552) yields a new equation:
% 14.13/3.78 | (548) e22 = e20
% 14.13/3.78 |
% 14.13/3.78 | Equations (548) can reduce 238 to:
% 14.13/3.78 | (394) $false
% 14.13/3.78 |
% 14.13/3.78 |-The branch is then unsatisfiable
% 14.13/3.78 |-Branch two:
% 14.13/3.78 | (471) all_0_136_136 = e20 & ~ (all_0_125_125 = e23)
% 14.13/3.78 |
% 14.13/3.78 | Applying alpha-rule on (471) yields:
% 14.13/3.78 | (453) all_0_136_136 = e20
% 14.13/3.78 | (463) ~ (all_0_125_125 = e23)
% 14.13/3.78 |
% 14.13/3.78 | Combining equations (723,453) yields a new equation:
% 14.13/3.78 | (655) e21 = e20
% 14.13/3.78 |
% 14.13/3.78 | Simplifying 655 yields:
% 14.13/3.78 | (637) e21 = e20
% 14.13/3.78 |
% 14.13/3.78 | Equations (637) can reduce 151 to:
% 14.13/3.78 | (394) $false
% 14.13/3.78 |
% 14.13/3.78 |-The branch is then unsatisfiable
% 14.13/3.78 |-Branch two:
% 14.13/3.78 | (454) ~ (all_0_128_128 = e22)
% 14.13/3.78 | (824) all_0_132_132 = e22 | all_0_136_136 = e22
% 14.13/3.78 |
% 14.13/3.78 +-Applying beta-rule and splitting (824), into two cases.
% 14.13/3.78 |-Branch one:
% 14.13/3.78 | (437) all_0_132_132 = e22
% 14.13/3.78 |
% 14.13/3.78 | Equations (437) can reduce 559 to:
% 14.13/3.78 | (394) $false
% 14.13/3.78 |
% 14.13/3.78 |-The branch is then unsatisfiable
% 14.13/3.78 |-Branch two:
% 14.13/3.78 | (559) ~ (all_0_132_132 = e22)
% 14.13/3.78 | (557) all_0_136_136 = e22
% 14.13/3.78 |
% 14.13/3.78 | Combining equations (723,557) yields a new equation:
% 14.13/3.78 | (554) e22 = e21
% 14.13/3.78 |
% 14.34/3.78 | Equations (554) can reduce 310 to:
% 14.34/3.78 | (394) $false
% 14.34/3.78 |
% 14.34/3.78 |-The branch is then unsatisfiable
% 14.34/3.78 |-Branch two:
% 14.34/3.78 | (676) ~ (all_0_130_130 = e22)
% 14.34/3.78 | (547) all_0_134_134 = e22
% 14.34/3.78 |
% 14.34/3.78 | Combining equations (404,547) yields a new equation:
% 14.34/3.78 | (548) e22 = e20
% 14.34/3.78 |
% 14.34/3.78 | Equations (548) can reduce 238 to:
% 14.34/3.78 | (394) $false
% 14.34/3.78 |
% 14.34/3.78 |-The branch is then unsatisfiable
% 14.34/3.78 |-Branch two:
% 14.34/3.78 | (663) ~ (all_0_126_126 = e23)
% 14.34/3.78 | (587) all_0_130_130 = e23
% 14.34/3.78 |
% 14.34/3.78 | Equations (587) can reduce 239 to:
% 14.34/3.78 | (663) ~ (all_0_126_126 = e23)
% 14.34/3.78 |
% 14.34/3.78 | Equations (587) can reduce 356 to:
% 14.34/3.78 | (420) ~ (all_0_132_132 = e23)
% 14.34/3.78 |
% 14.34/3.78 | Simplifying 420 yields:
% 14.34/3.78 | (421) ~ (all_0_132_132 = e23)
% 14.34/3.78 |
% 14.34/3.78 | Equations (587) can reduce 406 to:
% 14.34/3.78 | (235) ~ (e23 = e20)
% 14.34/3.78 |
% 14.34/3.78 +-Applying beta-rule and splitting (344), into two cases.
% 14.34/3.78 |-Branch one:
% 14.34/3.78 | (442) all_0_126_126 = e22
% 14.34/3.78 |
% 14.34/3.78 | Equations (442) can reduce 663 to:
% 14.34/3.78 | (565) ~ (e23 = e22)
% 14.34/3.78 |
% 14.34/3.78 | Simplifying 565 yields:
% 14.34/3.78 | (179) ~ (e23 = e22)
% 14.34/3.78 |
% 14.34/3.78 | Equations (442) can reduce 387 to:
% 14.34/3.78 | (238) ~ (e22 = e20)
% 14.34/3.78 |
% 14.34/3.78 +-Applying beta-rule and splitting (22), into two cases.
% 14.34/3.78 |-Branch one:
% 14.34/3.78 | (572) all_0_130_130 = e22
% 14.34/3.78 |
% 14.34/3.78 | Combining equations (587,572) yields a new equation:
% 14.34/3.78 | (588) e23 = e22
% 14.34/3.78 |
% 14.34/3.78 | Simplifying 588 yields:
% 14.34/3.78 | (589) e23 = e22
% 14.34/3.78 |
% 14.34/3.78 | Equations (589) can reduce 179 to:
% 14.34/3.78 | (394) $false
% 14.34/3.78 |
% 14.34/3.78 |-The branch is then unsatisfiable
% 14.34/3.78 |-Branch two:
% 14.34/3.78 | (676) ~ (all_0_130_130 = e22)
% 14.34/3.78 | (677) all_0_131_131 = e22 | all_0_132_132 = e22
% 14.34/3.78 |
% 14.34/3.78 +-Applying beta-rule and splitting (677), into two cases.
% 14.34/3.78 |-Branch one:
% 14.34/3.78 | (715) all_0_131_131 = e22
% 14.34/3.78 |
% 14.34/3.78 | Combining equations (498,715) yields a new equation:
% 14.34/3.78 | (548) e22 = e20
% 14.34/3.78 |
% 14.34/3.78 | Equations (548) can reduce 238 to:
% 14.34/3.78 | (394) $false
% 14.34/3.78 |
% 14.34/3.78 |-The branch is then unsatisfiable
% 14.34/3.78 |-Branch two:
% 14.34/3.78 | (719) ~ (all_0_131_131 = e22)
% 14.34/3.78 | (437) all_0_132_132 = e22
% 14.34/3.78 |
% 14.34/3.78 | Equations (437) can reduce 421 to:
% 14.34/3.78 | (565) ~ (e23 = e22)
% 14.34/3.78 |
% 14.34/3.78 | Simplifying 565 yields:
% 14.34/3.78 | (179) ~ (e23 = e22)
% 14.34/3.78 |
% 14.34/3.78 +-Applying beta-rule and splitting (59), into two cases.
% 14.34/3.78 |-Branch one:
% 14.34/3.78 | (419) all_0_125_125 = e23
% 14.34/3.78 |
% 14.34/3.78 | Combining equations (416,419) yields a new equation:
% 14.34/3.78 | (424) e23 = e20
% 14.34/3.78 |
% 14.34/3.78 | Equations (424) can reduce 235 to:
% 14.34/3.78 | (394) $false
% 14.34/3.78 |
% 14.34/3.78 |-The branch is then unsatisfiable
% 14.34/3.78 |-Branch two:
% 14.34/3.78 | (463) ~ (all_0_125_125 = e23)
% 14.34/3.78 | (761) all_0_128_128 = e23 | all_0_132_132 = e23
% 14.34/3.78 |
% 14.34/3.78 +-Applying beta-rule and splitting (761), into two cases.
% 14.34/3.78 |-Branch one:
% 14.34/3.79 | (762) all_0_128_128 = e23
% 14.34/3.79 |
% 14.34/3.79 +-Applying beta-rule and splitting (5), into two cases.
% 14.34/3.79 |-Branch one:
% 14.34/3.79 | (864) all_0_147_147 = e10
% 14.34/3.79 |
% 14.34/3.79 | Equations (864) can reduce 228 to:
% 14.34/3.79 | (504) ~ (all_0_139_139 = e10)
% 14.34/3.79 |
% 14.34/3.79 | Equations (864) can reduce 279 to:
% 14.34/3.79 | (866) ~ (all_0_143_143 = e10)
% 14.34/3.79 |
% 14.34/3.79 | Equations (864) can reduce 290 to:
% 14.34/3.79 | (867) ~ (all_0_148_148 = e10)
% 14.34/3.79 |
% 14.34/3.79 | Simplifying 867 yields:
% 14.34/3.79 | (868) ~ (all_0_148_148 = e10)
% 14.34/3.79 |
% 14.34/3.79 | Equations (864) can reduce 128 to:
% 14.34/3.79 | (528) ~ (all_0_149_149 = e10)
% 14.34/3.79 |
% 14.34/3.79 | Simplifying 528 yields:
% 14.34/3.79 | (529) ~ (all_0_149_149 = e10)
% 14.34/3.79 |
% 14.34/3.79 | Equations (864) can reduce 221 to:
% 14.34/3.79 | (508) ~ (e13 = e10)
% 14.34/3.79 |
% 14.34/3.79 | Simplifying 508 yields:
% 14.34/3.79 | (86) ~ (e13 = e10)
% 14.34/3.79 |
% 14.34/3.79 | From (864) and (329) follows:
% 14.34/3.79 | (873) h1(e10) = all_0_91_91
% 14.34/3.79 |
% 14.34/3.79 +-Applying beta-rule and splitting (74), into two cases.
% 14.34/3.79 |-Branch one:
% 14.34/3.79 | (874) all_0_143_143 = e10
% 14.34/3.79 |
% 14.34/3.79 | Equations (874) can reduce 866 to:
% 14.34/3.79 | (394) $false
% 14.34/3.79 |
% 14.34/3.79 |-The branch is then unsatisfiable
% 14.34/3.79 |-Branch two:
% 14.34/3.79 | (866) ~ (all_0_143_143 = e10)
% 14.34/3.79 | (877) all_0_144_144 = e10 | all_0_145_145 = e10 | all_0_146_146 = e10
% 14.34/3.79 |
% 14.34/3.79 +-Applying beta-rule and splitting (229), into two cases.
% 14.34/3.79 |-Branch one:
% 14.34/3.79 | (878) all_0_137_137 = e10
% 14.34/3.79 |
% 14.34/3.79 | Combining equations (536,878) yields a new equation:
% 14.34/3.79 | (879) e13 = e10
% 14.34/3.79 |
% 14.34/3.79 | Simplifying 879 yields:
% 14.34/3.79 | (880) e13 = e10
% 14.34/3.79 |
% 14.34/3.79 | Equations (880) can reduce 86 to:
% 14.34/3.79 | (394) $false
% 14.34/3.79 |
% 14.34/3.79 |-The branch is then unsatisfiable
% 14.34/3.79 |-Branch two:
% 14.34/3.79 | (882) ~ (all_0_137_137 = e10)
% 14.34/3.79 | (883) all_0_140_140 = e10 | all_0_144_144 = e10 | all_0_148_148 = e10
% 14.34/3.79 |
% 14.34/3.79 +-Applying beta-rule and splitting (883), into two cases.
% 14.34/3.79 |-Branch one:
% 14.34/3.79 | (884) all_0_140_140 = e10
% 14.34/3.79 |
% 14.34/3.79 | Equations (884) can reduce 505 to:
% 14.34/3.79 | (394) $false
% 14.34/3.79 |
% 14.34/3.79 |-The branch is then unsatisfiable
% 14.34/3.79 |-Branch two:
% 14.34/3.79 | (505) ~ (all_0_140_140 = e10)
% 14.34/3.79 | (887) all_0_144_144 = e10 | all_0_148_148 = e10
% 14.34/3.79 |
% 14.34/3.79 +-Applying beta-rule and splitting (877), into two cases.
% 14.34/3.79 |-Branch one:
% 14.34/3.79 | (888) all_0_144_144 = e10
% 14.34/3.79 |
% 14.34/3.79 | Equations (888) can reduce 302 to:
% 14.34/3.79 | (505) ~ (all_0_140_140 = e10)
% 14.34/3.79 |
% 14.34/3.79 | Equations (888) can reduce 364 to:
% 14.34/3.79 | (890) ~ (all_0_145_145 = e10)
% 14.34/3.79 |
% 14.34/3.79 | Simplifying 890 yields:
% 14.34/3.79 | (891) ~ (all_0_145_145 = e10)
% 14.34/3.79 |
% 14.34/3.79 | Equations (888) can reduce 60 to:
% 14.34/3.79 | (867) ~ (all_0_148_148 = e10)
% 14.34/3.79 |
% 14.34/3.79 | Simplifying 867 yields:
% 14.34/3.79 | (868) ~ (all_0_148_148 = e10)
% 14.34/3.79 |
% 14.34/3.79 | From (888) and (61) follows:
% 14.34/3.79 | (894) h1(e10) = all_0_88_88
% 14.34/3.79 |
% 14.34/3.79 | Instantiating formula (73) with e10, all_0_88_88, e20 and discharging atoms h1(e10) = all_0_88_88, h1(e10) = e20, yields:
% 14.34/3.79 | (895) all_0_88_88 = e20
% 14.34/3.79 |
% 14.34/3.79 | Instantiating formula (73) with e10, all_0_91_91, all_0_88_88 and discharging atoms h1(e10) = all_0_88_88, h1(e10) = all_0_91_91, yields:
% 14.34/3.79 | (896) all_0_88_88 = all_0_91_91
% 14.34/3.79 |
% 14.34/3.79 | Combining equations (895,896) yields a new equation:
% 14.34/3.79 | (897) all_0_91_91 = e20
% 14.34/3.79 |
% 14.34/3.79 | Combining equations (897,896) yields a new equation:
% 14.34/3.79 | (895) all_0_88_88 = e20
% 14.34/3.79 |
% 14.34/3.79 +-Applying beta-rule and splitting (343), into two cases.
% 14.34/3.79 |-Branch one:
% 14.34/3.79 | (899) all_0_148_148 = e11
% 14.34/3.79 |
% 14.34/3.79 | Equations (899) can reduce 79 to:
% 14.34/3.79 | (900) ~ (all_0_149_149 = e11)
% 14.34/3.79 |
% 14.34/3.79 | Simplifying 900 yields:
% 14.34/3.79 | (901) ~ (all_0_149_149 = e11)
% 14.34/3.79 |
% 14.34/3.79 +-Applying beta-rule and splitting (261), into two cases.
% 14.34/3.79 |-Branch one:
% 14.34/3.79 | (902) all_0_147_147 = e12
% 14.34/3.79 |
% 14.34/3.79 | Combining equations (864,902) yields a new equation:
% 14.34/3.79 | (903) e12 = e10
% 14.34/3.79 |
% 14.34/3.79 | Equations (903) can reduce 133 to:
% 14.34/3.79 | (394) $false
% 14.34/3.79 |
% 14.34/3.79 |-The branch is then unsatisfiable
% 14.34/3.79 |-Branch two:
% 14.34/3.79 | (905) ~ (all_0_147_147 = e12)
% 14.34/3.79 | (906) all_0_148_148 = e12 | all_0_149_149 = e12
% 14.34/3.79 |
% 14.34/3.79 +-Applying beta-rule and splitting (906), into two cases.
% 14.34/3.79 |-Branch one:
% 14.34/3.79 | (907) all_0_148_148 = e12
% 14.34/3.79 |
% 14.34/3.79 | Combining equations (899,907) yields a new equation:
% 14.34/3.79 | (908) e12 = e11
% 14.34/3.79 |
% 14.34/3.79 | Equations (908) can reduce 65 to:
% 14.34/3.79 | (394) $false
% 14.34/3.79 |
% 14.34/3.79 |-The branch is then unsatisfiable
% 14.34/3.79 |-Branch two:
% 14.34/3.79 | (910) ~ (all_0_148_148 = e12)
% 14.34/3.79 | (911) all_0_149_149 = e12
% 14.34/3.79 |
% 14.34/3.79 | Equations (911) can reduce 353 to:
% 14.34/3.79 | (912) ~ (all_0_141_141 = e12)
% 14.34/3.79 |
% 14.34/3.79 | Equations (911) can reduce 25 to:
% 14.34/3.79 | (913) ~ (all_0_145_145 = e12)
% 14.34/3.79 |
% 14.34/3.79 | Equations (911) can reduce 901 to:
% 14.34/3.79 | (65) ~ (e12 = e11)
% 14.34/3.79 |
% 14.34/3.79 | Equations (911) can reduce 529 to:
% 14.34/3.79 | (133) ~ (e12 = e10)
% 14.34/3.79 |
% 14.34/3.79 +-Applying beta-rule and splitting (297), into two cases.
% 14.34/3.79 |-Branch one:
% 14.34/3.79 | (916) all_0_141_141 = e11
% 14.34/3.79 |
% 14.34/3.79 | Equations (916) can reduce 912 to:
% 14.34/3.79 | (518) ~ (e12 = e11)
% 14.34/3.79 |
% 14.34/3.79 | Simplifying 518 yields:
% 14.34/3.79 | (65) ~ (e12 = e11)
% 14.34/3.79 |
% 14.34/3.79 | Equations (916) can reduce 527 to:
% 14.34/3.79 | (252) ~ (e11 = e10)
% 14.34/3.79 |
% 14.34/3.79 +-Applying beta-rule and splitting (154), into two cases.
% 14.34/3.79 |-Branch one:
% 14.34/3.80 | (920) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)) | (all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10)) | (all_0_141_141 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_140_140 = e11)) | (all_0_145_145 = e12 & all_0_148_148 = e10 & ~ (all_0_144_144 = e11))
% 14.34/3.80 |
% 14.34/3.80 +-Applying beta-rule and splitting (920), into two cases.
% 14.34/3.80 |-Branch one:
% 14.34/3.80 | (921) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)) | (all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10)) | (all_0_141_141 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_140_140 = e11))
% 14.34/3.80 |
% 14.34/3.80 +-Applying beta-rule and splitting (921), into two cases.
% 14.34/3.80 |-Branch one:
% 14.34/3.80 | (922) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)) | (all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10))
% 14.34/3.80 |
% 14.34/3.80 +-Applying beta-rule and splitting (922), into two cases.
% 14.34/3.80 |-Branch one:
% 14.34/3.80 | (923) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12))
% 14.34/3.80 |
% 14.34/3.80 +-Applying beta-rule and splitting (923), into two cases.
% 14.34/3.80 |-Branch one:
% 14.34/3.80 | (924) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10))
% 14.34/3.80 |
% 14.34/3.80 +-Applying beta-rule and splitting (924), into two cases.
% 14.34/3.80 |-Branch one:
% 14.34/3.80 | (925) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13))
% 14.34/3.80 |
% 14.34/3.80 +-Applying beta-rule and splitting (925), into two cases.
% 14.34/3.80 |-Branch one:
% 14.34/3.80 | (926) all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)
% 14.34/3.80 |
% 14.34/3.80 | Applying alpha-rule on (926) yields:
% 14.34/3.80 | (536) all_0_137_137 = e13
% 14.34/3.80 | (928) all_0_145_145 = e12
% 14.34/3.80 | (516) ~ (all_0_144_144 = e11)
% 14.34/3.80 |
% 14.34/3.80 | Equations (928) can reduce 913 to:
% 14.34/3.80 | (394) $false
% 14.34/3.80 |
% 14.34/3.80 |-The branch is then unsatisfiable
% 14.34/3.80 |-Branch two:
% 14.34/3.80 | (931) all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)
% 14.34/3.80 |
% 14.34/3.80 | Applying alpha-rule on (931) yields:
% 14.34/3.80 | (932) all_0_139_139 = e12
% 14.34/3.80 | (933) all_0_145_145 = e13
% 14.34/3.80 | (934) ~ (all_0_140_140 = e13)
% 14.34/3.80 |
% 14.34/3.80 | Equations (933) can reduce 77 to:
% 14.34/3.80 | (935) ~ (all_0_143_143 = e13)
% 14.34/3.80 |
% 14.34/3.80 | Equations (933) can reduce 913 to:
% 14.34/3.80 | (307) ~ (e13 = e12)
% 14.34/3.80 |
% 14.34/3.80 +-Applying beta-rule and splitting (286), into two cases.
% 14.34/3.80 |-Branch one:
% 14.34/3.80 | (937) all_0_139_139 = e13
% 14.34/3.80 |
% 14.34/3.80 | Combining equations (932,937) yields a new equation:
% 14.34/3.80 | (938) e13 = e12
% 14.34/3.80 |
% 14.34/3.80 | Equations (938) can reduce 307 to:
% 14.34/3.80 | (394) $false
% 14.34/3.80 |
% 14.34/3.80 |-The branch is then unsatisfiable
% 14.34/3.80 |-Branch two:
% 14.34/3.80 | (940) ~ (all_0_139_139 = e13)
% 14.34/3.80 | (941) all_0_143_143 = e13
% 14.34/3.80 |
% 14.34/3.80 | Equations (941) can reduce 935 to:
% 14.34/3.80 | (394) $false
% 14.34/3.80 |
% 14.34/3.80 |-The branch is then unsatisfiable
% 14.34/3.80 |-Branch two:
% 14.34/3.80 | (943) all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)
% 14.34/3.80 |
% 14.34/3.80 | Applying alpha-rule on (943) yields:
% 14.34/3.80 | (932) all_0_139_139 = e12
% 14.34/3.80 | (934) ~ (all_0_140_140 = e13)
% 14.34/3.80 | (946) ~ (all_0_147_147 = e10)
% 14.34/3.80 |
% 14.34/3.80 | Equations (864) can reduce 946 to:
% 14.34/3.80 | (394) $false
% 14.34/3.80 |
% 14.34/3.80 |-The branch is then unsatisfiable
% 14.34/3.80 |-Branch two:
% 14.34/3.80 | (948) all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)
% 14.34/3.80 |
% 14.34/3.80 | Applying alpha-rule on (948) yields:
% 14.34/3.80 | (949) all_0_140_140 = e11
% 14.34/3.80 | (950) all_0_149_149 = e10
% 14.34/3.80 | (912) ~ (all_0_141_141 = e12)
% 14.34/3.80 |
% 14.34/3.80 | Combining equations (911,950) yields a new equation:
% 14.34/3.80 | (952) e12 = e10
% 14.34/3.80 |
% 14.34/3.80 | Simplifying 952 yields:
% 14.34/3.80 | (903) e12 = e10
% 14.34/3.80 |
% 14.34/3.80 | Equations (903) can reduce 133 to:
% 14.34/3.80 | (394) $false
% 14.34/3.80 |
% 14.34/3.80 |-The branch is then unsatisfiable
% 14.34/3.80 |-Branch two:
% 14.34/3.80 | (955) all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10)
% 14.34/3.80 |
% 14.34/3.80 | Applying alpha-rule on (955) yields:
% 14.34/3.80 | (884) all_0_140_140 = e10
% 14.34/3.80 | (514) all_0_146_146 = e11
% 14.34/3.80 | (891) ~ (all_0_145_145 = e10)
% 14.34/3.80 |
% 14.34/3.80 | Equations (884) can reduce 505 to:
% 14.34/3.80 | (394) $false
% 14.34/3.80 |
% 14.34/3.80 |-The branch is then unsatisfiable
% 14.34/3.80 |-Branch two:
% 14.34/3.80 | (960) all_0_141_141 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_140_140 = e11)
% 14.34/3.80 |
% 14.34/3.80 | Applying alpha-rule on (960) yields:
% 14.34/3.80 | (961) all_0_141_141 = e12
% 14.34/3.80 | (962) ~ (all_0_138_138 = e13)
% 14.34/3.80 | (963) ~ (all_0_140_140 = e11)
% 14.34/3.80 |
% 14.34/3.80 | Combining equations (916,961) yields a new equation:
% 14.34/3.80 | (908) e12 = e11
% 14.34/3.80 |
% 14.34/3.80 | Equations (908) can reduce 65 to:
% 14.34/3.80 | (394) $false
% 14.34/3.80 |
% 14.34/3.80 |-The branch is then unsatisfiable
% 14.34/3.80 |-Branch two:
% 14.34/3.80 | (966) all_0_145_145 = e12 & all_0_148_148 = e10 & ~ (all_0_144_144 = e11)
% 14.34/3.80 |
% 14.34/3.80 | Applying alpha-rule on (966) yields:
% 14.34/3.80 | (928) all_0_145_145 = e12
% 14.34/3.80 | (968) all_0_148_148 = e10
% 14.34/3.80 | (516) ~ (all_0_144_144 = e11)
% 14.34/3.80 |
% 14.34/3.81 | Combining equations (968,899) yields a new equation:
% 14.34/3.81 | (970) e11 = e10
% 14.34/3.81 |
% 14.34/3.81 | Equations (970) can reduce 252 to:
% 14.34/3.81 | (394) $false
% 14.34/3.81 |
% 14.34/3.81 |-The branch is then unsatisfiable
% 14.34/3.81 |-Branch two:
% 14.34/3.81 | (972) all_0_149_149 = e10 & ~ (all_0_138_138 = e13)
% 14.34/3.81 |
% 14.34/3.81 | Applying alpha-rule on (972) yields:
% 14.34/3.81 | (950) all_0_149_149 = e10
% 14.34/3.81 | (962) ~ (all_0_138_138 = e13)
% 14.34/3.81 |
% 14.34/3.81 | Combining equations (911,950) yields a new equation:
% 14.34/3.81 | (952) e12 = e10
% 14.34/3.81 |
% 14.34/3.81 | Simplifying 952 yields:
% 14.34/3.81 | (903) e12 = e10
% 14.34/3.81 |
% 14.34/3.81 | Equations (903) can reduce 133 to:
% 14.34/3.81 | (394) $false
% 14.34/3.81 |
% 14.34/3.81 |-The branch is then unsatisfiable
% 14.34/3.81 |-Branch two:
% 14.34/3.81 | (978) ~ (all_0_141_141 = e11)
% 14.34/3.81 | (979) all_0_145_145 = e11 | all_0_149_149 = e11
% 14.34/3.81 |
% 14.34/3.81 +-Applying beta-rule and splitting (979), into two cases.
% 14.34/3.81 |-Branch one:
% 14.34/3.81 | (980) all_0_145_145 = e11
% 14.34/3.81 |
% 14.34/3.81 | Equations (980) can reduce 517 to:
% 14.34/3.81 | (394) $false
% 14.34/3.81 |
% 14.34/3.81 |-The branch is then unsatisfiable
% 14.34/3.81 |-Branch two:
% 14.34/3.81 | (517) ~ (all_0_145_145 = e11)
% 14.34/3.81 | (983) all_0_149_149 = e11
% 14.34/3.81 |
% 14.34/3.81 | Combining equations (983,911) yields a new equation:
% 14.34/3.81 | (908) e12 = e11
% 14.34/3.81 |
% 14.34/3.81 | Equations (908) can reduce 65 to:
% 14.34/3.81 | (394) $false
% 14.34/3.81 |
% 14.34/3.81 |-The branch is then unsatisfiable
% 14.34/3.81 |-Branch two:
% 14.34/3.81 | (986) ~ (all_0_148_148 = e11)
% 14.34/3.81 | (983) all_0_149_149 = e11
% 14.34/3.81 |
% 14.34/3.81 | Equations (983) can reduce 353 to:
% 14.34/3.81 | (978) ~ (all_0_141_141 = e11)
% 14.34/3.81 |
% 14.34/3.81 | Equations (983) can reduce 25 to:
% 14.34/3.81 | (517) ~ (all_0_145_145 = e11)
% 14.34/3.81 |
% 14.34/3.81 | Equations (983) can reduce 529 to:
% 14.34/3.81 | (252) ~ (e11 = e10)
% 14.34/3.81 |
% 14.34/3.81 | From (983) and (376) follows:
% 14.34/3.81 | (991) h1(e11) = all_0_93_93
% 14.34/3.81 |
% 14.34/3.81 +-Applying beta-rule and splitting (108), into two cases.
% 14.34/3.81 |-Branch one:
% 14.34/3.81 | (949) all_0_140_140 = e11
% 14.34/3.81 |
% 14.34/3.81 | Equations (949) can reduce 505 to:
% 14.34/3.81 | (252) ~ (e11 = e10)
% 14.34/3.81 |
% 14.34/3.81 | From (949) and (168) follows:
% 14.34/3.81 | (994) h1(e11) = all_0_84_84
% 14.34/3.81 |
% 14.34/3.81 +-Applying beta-rule and splitting (261), into two cases.
% 14.34/3.81 |-Branch one:
% 14.34/3.81 | (902) all_0_147_147 = e12
% 14.34/3.81 |
% 14.34/3.81 | Combining equations (902,864) yields a new equation:
% 14.34/3.81 | (952) e12 = e10
% 14.34/3.81 |
% 14.34/3.81 | Simplifying 952 yields:
% 14.34/3.81 | (903) e12 = e10
% 14.34/3.81 |
% 14.34/3.81 | Equations (903) can reduce 133 to:
% 14.34/3.81 | (394) $false
% 14.34/3.81 |
% 14.34/3.81 |-The branch is then unsatisfiable
% 14.34/3.81 |-Branch two:
% 14.34/3.81 | (905) ~ (all_0_147_147 = e12)
% 14.34/3.81 | (906) all_0_148_148 = e12 | all_0_149_149 = e12
% 14.34/3.81 |
% 14.34/3.81 +-Applying beta-rule and splitting (906), into two cases.
% 14.34/3.81 |-Branch one:
% 14.34/3.81 | (907) all_0_148_148 = e12
% 14.34/3.81 |
% 14.34/3.81 | Equations (907) can reduce 199 to:
% 14.34/3.81 | (1002) ~ (e13 = e12)
% 14.34/3.81 |
% 14.34/3.81 | Simplifying 1002 yields:
% 14.34/3.81 | (307) ~ (e13 = e12)
% 14.34/3.81 |
% 14.34/3.81 | Equations (907) can reduce 868 to:
% 14.34/3.81 | (133) ~ (e12 = e10)
% 14.34/3.81 |
% 14.34/3.81 | From (907) and (78) follows:
% 14.34/3.81 | (1005) h1(e12) = all_0_92_92
% 14.34/3.81 |
% 14.34/3.81 | Instantiating formula (73) with e12, all_0_92_92, e22 and discharging atoms h1(e12) = all_0_92_92, h1(e12) = e22, yields:
% 14.34/3.81 | (1006) all_0_92_92 = e22
% 14.34/3.81 |
% 14.34/3.81 | Instantiating formula (73) with e11, all_0_84_84, e21 and discharging atoms h1(e11) = all_0_84_84, h1(e11) = e21, yields:
% 14.34/3.81 | (1007) all_0_84_84 = e21
% 14.34/3.81 |
% 14.34/3.81 | Instantiating formula (73) with e11, all_0_93_93, all_0_84_84 and discharging atoms h1(e11) = all_0_84_84, h1(e11) = all_0_93_93, yields:
% 14.34/3.81 | (1008) all_0_84_84 = all_0_93_93
% 14.34/3.81 |
% 14.34/3.81 | Combining equations (1007,1008) yields a new equation:
% 14.34/3.81 | (1009) all_0_93_93 = e21
% 14.34/3.81 |
% 14.34/3.81 | Combining equations (1009,1008) yields a new equation:
% 14.34/3.81 | (1007) all_0_84_84 = e21
% 14.34/3.81 |
% 14.34/3.81 | From (1006) and (1005) follows:
% 14.34/3.81 | (145) h1(e12) = e22
% 14.34/3.81 |
% 14.34/3.81 +-Applying beta-rule and splitting (286), into two cases.
% 14.34/3.81 |-Branch one:
% 14.34/3.81 | (937) all_0_139_139 = e13
% 14.34/3.81 |
% 14.34/3.81 +-Applying beta-rule and splitting (249), into two cases.
% 14.34/3.81 |-Branch one:
% 14.34/3.81 | (932) all_0_139_139 = e12
% 14.34/3.81 |
% 14.34/3.81 | Combining equations (937,932) yields a new equation:
% 14.34/3.81 | (1014) e13 = e12
% 14.34/3.81 |
% 14.34/3.81 | Simplifying 1014 yields:
% 14.34/3.81 | (938) e13 = e12
% 14.34/3.81 |
% 14.34/3.81 | Equations (938) can reduce 307 to:
% 14.34/3.81 | (394) $false
% 14.34/3.81 |
% 14.34/3.81 |-The branch is then unsatisfiable
% 14.34/3.81 |-Branch two:
% 14.34/3.81 | (1017) ~ (all_0_139_139 = e12)
% 14.34/3.81 | (1018) all_0_140_140 = e12 | all_0_141_141 = e12
% 14.34/3.81 |
% 14.34/3.81 | Equations (937) can reduce 1017 to:
% 14.34/3.82 | (307) ~ (e13 = e12)
% 14.34/3.82 |
% 14.34/3.82 +-Applying beta-rule and splitting (214), into two cases.
% 14.34/3.82 |-Branch one:
% 14.34/3.82 | (932) all_0_139_139 = e12
% 14.34/3.82 |
% 14.34/3.82 | Combining equations (937,932) yields a new equation:
% 14.34/3.82 | (1014) e13 = e12
% 14.34/3.82 |
% 14.34/3.82 | Simplifying 1014 yields:
% 14.34/3.82 | (938) e13 = e12
% 14.34/3.82 |
% 14.34/3.82 | Equations (938) can reduce 307 to:
% 14.34/3.82 | (394) $false
% 14.34/3.82 |
% 14.34/3.82 |-The branch is then unsatisfiable
% 14.34/3.82 |-Branch two:
% 14.34/3.82 | (1017) ~ (all_0_139_139 = e12)
% 14.34/3.82 | (1025) all_0_143_143 = e12 | all_0_147_147 = e12
% 14.34/3.82 |
% 14.34/3.82 | Equations (937) can reduce 1017 to:
% 14.34/3.82 | (307) ~ (e13 = e12)
% 14.34/3.82 |
% 14.34/3.82 +-Applying beta-rule and splitting (154), into two cases.
% 14.34/3.82 |-Branch one:
% 14.34/3.82 | (920) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)) | (all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10)) | (all_0_141_141 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_140_140 = e11)) | (all_0_145_145 = e12 & all_0_148_148 = e10 & ~ (all_0_144_144 = e11))
% 14.34/3.82 |
% 14.34/3.82 +-Applying beta-rule and splitting (920), into two cases.
% 14.34/3.82 |-Branch one:
% 14.34/3.82 | (921) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)) | (all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10)) | (all_0_141_141 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_140_140 = e11))
% 14.34/3.82 |
% 14.34/3.82 +-Applying beta-rule and splitting (921), into two cases.
% 14.34/3.82 |-Branch one:
% 14.34/3.82 | (922) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)) | (all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10))
% 14.34/3.82 |
% 14.34/3.82 +-Applying beta-rule and splitting (922), into two cases.
% 14.34/3.82 |-Branch one:
% 14.34/3.82 | (923) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12))
% 14.34/3.82 |
% 14.34/3.82 +-Applying beta-rule and splitting (923), into two cases.
% 14.34/3.82 |-Branch one:
% 14.34/3.82 | (924) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10))
% 14.34/3.82 |
% 14.34/3.82 +-Applying beta-rule and splitting (924), into two cases.
% 14.34/3.82 |-Branch one:
% 14.34/3.82 | (925) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13))
% 14.34/3.82 |
% 14.34/3.82 +-Applying beta-rule and splitting (925), into two cases.
% 14.34/3.82 |-Branch one:
% 14.34/3.82 | (926) all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)
% 14.34/3.82 |
% 14.34/3.82 | Applying alpha-rule on (926) yields:
% 14.34/3.82 | (536) all_0_137_137 = e13
% 14.34/3.82 | (928) all_0_145_145 = e12
% 14.34/3.82 | (516) ~ (all_0_144_144 = e11)
% 14.34/3.82 |
% 14.34/3.82 | Equations (928) can reduce 107 to:
% 14.34/3.82 | (912) ~ (all_0_141_141 = e12)
% 14.34/3.82 |
% 14.34/3.82 | Equations (928) can reduce 517 to:
% 14.34/3.82 | (65) ~ (e12 = e11)
% 14.34/3.82 |
% 14.34/3.82 +-Applying beta-rule and splitting (1018), into two cases.
% 14.34/3.82 |-Branch one:
% 14.34/3.82 | (1039) all_0_140_140 = e12
% 14.34/3.82 |
% 14.34/3.82 | Combining equations (1039,949) yields a new equation:
% 14.34/3.82 | (1040) e12 = e11
% 14.34/3.82 |
% 14.34/3.82 | Simplifying 1040 yields:
% 14.34/3.82 | (908) e12 = e11
% 14.34/3.82 |
% 14.34/3.82 | Equations (908) can reduce 65 to:
% 14.34/3.82 | (394) $false
% 14.34/3.82 |
% 14.34/3.82 |-The branch is then unsatisfiable
% 14.34/3.82 |-Branch two:
% 14.34/3.82 | (1043) ~ (all_0_140_140 = e12)
% 14.34/3.82 | (961) all_0_141_141 = e12
% 14.34/3.82 |
% 14.34/3.82 | Equations (961) can reduce 912 to:
% 14.34/3.82 | (394) $false
% 14.34/3.82 |
% 14.34/3.82 |-The branch is then unsatisfiable
% 14.34/3.82 |-Branch two:
% 14.34/3.82 | (931) all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)
% 14.34/3.82 |
% 14.34/3.82 | Applying alpha-rule on (931) yields:
% 14.34/3.82 | (932) all_0_139_139 = e12
% 14.34/3.82 | (933) all_0_145_145 = e13
% 14.34/3.82 | (934) ~ (all_0_140_140 = e13)
% 14.34/3.82 |
% 14.34/3.82 | Combining equations (937,932) yields a new equation:
% 14.34/3.82 | (1014) e13 = e12
% 14.34/3.82 |
% 14.34/3.82 | Simplifying 1014 yields:
% 14.34/3.82 | (938) e13 = e12
% 14.34/3.82 |
% 14.34/3.82 | Equations (938) can reduce 307 to:
% 14.34/3.82 | (394) $false
% 14.34/3.82 |
% 14.34/3.82 |-The branch is then unsatisfiable
% 14.34/3.82 |-Branch two:
% 14.34/3.82 | (943) all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)
% 14.34/3.82 |
% 14.34/3.82 | Applying alpha-rule on (943) yields:
% 14.34/3.82 | (932) all_0_139_139 = e12
% 14.34/3.82 | (934) ~ (all_0_140_140 = e13)
% 14.34/3.82 | (946) ~ (all_0_147_147 = e10)
% 14.34/3.82 |
% 14.34/3.82 | Combining equations (937,932) yields a new equation:
% 14.34/3.82 | (1014) e13 = e12
% 14.34/3.82 |
% 14.34/3.82 | Simplifying 1014 yields:
% 14.34/3.82 | (938) e13 = e12
% 14.34/3.82 |
% 14.34/3.82 | Equations (938) can reduce 307 to:
% 14.34/3.82 | (394) $false
% 14.34/3.82 |
% 14.34/3.82 |-The branch is then unsatisfiable
% 14.34/3.82 |-Branch two:
% 14.34/3.82 | (948) all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)
% 14.34/3.82 |
% 14.34/3.82 | Applying alpha-rule on (948) yields:
% 14.34/3.82 | (949) all_0_140_140 = e11
% 14.34/3.82 | (950) all_0_149_149 = e10
% 14.34/3.82 | (912) ~ (all_0_141_141 = e12)
% 14.34/3.82 |
% 14.34/3.82 | Combining equations (983,950) yields a new equation:
% 14.34/3.82 | (1064) e11 = e10
% 14.34/3.82 |
% 14.34/3.82 | Simplifying 1064 yields:
% 14.34/3.82 | (970) e11 = e10
% 14.34/3.82 |
% 14.34/3.82 | Equations (970) can reduce 252 to:
% 14.34/3.82 | (394) $false
% 14.34/3.82 |
% 14.34/3.82 |-The branch is then unsatisfiable
% 14.34/3.82 |-Branch two:
% 14.34/3.82 | (955) all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10)
% 14.34/3.82 |
% 14.34/3.83 | Applying alpha-rule on (955) yields:
% 14.34/3.83 | (884) all_0_140_140 = e10
% 14.34/3.83 | (514) all_0_146_146 = e11
% 14.34/3.83 | (891) ~ (all_0_145_145 = e10)
% 14.34/3.83 |
% 14.34/3.83 | Combining equations (884,949) yields a new equation:
% 14.34/3.83 | (970) e11 = e10
% 14.34/3.83 |
% 14.34/3.83 | Equations (970) can reduce 252 to:
% 14.34/3.83 | (394) $false
% 14.34/3.83 |
% 14.34/3.83 |-The branch is then unsatisfiable
% 14.34/3.83 |-Branch two:
% 14.34/3.83 | (960) all_0_141_141 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_140_140 = e11)
% 14.34/3.83 |
% 14.34/3.83 | Applying alpha-rule on (960) yields:
% 14.34/3.83 | (961) all_0_141_141 = e12
% 14.34/3.83 | (962) ~ (all_0_138_138 = e13)
% 14.34/3.83 | (963) ~ (all_0_140_140 = e11)
% 14.34/3.83 |
% 14.34/3.83 | Equations (949) can reduce 963 to:
% 14.34/3.83 | (394) $false
% 14.34/3.83 |
% 14.34/3.83 |-The branch is then unsatisfiable
% 14.34/3.83 |-Branch two:
% 14.34/3.83 | (966) all_0_145_145 = e12 & all_0_148_148 = e10 & ~ (all_0_144_144 = e11)
% 14.34/3.83 |
% 14.34/3.83 | Applying alpha-rule on (966) yields:
% 14.34/3.83 | (928) all_0_145_145 = e12
% 14.34/3.83 | (968) all_0_148_148 = e10
% 14.34/3.83 | (516) ~ (all_0_144_144 = e11)
% 14.34/3.83 |
% 14.34/3.83 | Combining equations (968,907) yields a new equation:
% 14.34/3.83 | (903) e12 = e10
% 14.34/3.83 |
% 14.34/3.83 | Equations (903) can reduce 133 to:
% 14.34/3.83 | (394) $false
% 14.34/3.83 |
% 14.34/3.83 |-The branch is then unsatisfiable
% 14.34/3.83 |-Branch two:
% 14.34/3.83 | (972) all_0_149_149 = e10 & ~ (all_0_138_138 = e13)
% 14.34/3.83 |
% 14.34/3.83 | Applying alpha-rule on (972) yields:
% 14.34/3.83 | (950) all_0_149_149 = e10
% 14.34/3.83 | (962) ~ (all_0_138_138 = e13)
% 14.34/3.83 |
% 14.34/3.83 | Combining equations (983,950) yields a new equation:
% 14.34/3.83 | (1064) e11 = e10
% 14.34/3.83 |
% 14.34/3.83 | Simplifying 1064 yields:
% 14.34/3.83 | (970) e11 = e10
% 14.34/3.83 |
% 14.34/3.83 | Equations (970) can reduce 252 to:
% 14.34/3.83 | (394) $false
% 14.34/3.83 |
% 14.34/3.83 |-The branch is then unsatisfiable
% 14.34/3.83 |-Branch two:
% 14.34/3.83 | (940) ~ (all_0_139_139 = e13)
% 14.34/3.83 | (941) all_0_143_143 = e13
% 14.34/3.83 |
% 14.34/3.83 | Equations (941) can reduce 2 to:
% 14.34/3.83 | (940) ~ (all_0_139_139 = e13)
% 14.34/3.83 |
% 14.34/3.83 | Equations (941) can reduce 77 to:
% 14.34/3.83 | (1093) ~ (all_0_145_145 = e13)
% 14.34/3.83 |
% 14.34/3.83 | Simplifying 1093 yields:
% 14.34/3.83 | (1094) ~ (all_0_145_145 = e13)
% 14.34/3.83 |
% 14.34/3.83 | Equations (941) can reduce 305 to:
% 14.34/3.83 | (383) ~ (e13 = e11)
% 14.34/3.83 |
% 14.34/3.83 | From (941) and (321) follows:
% 14.34/3.83 | (1096) h1(e13) = all_0_87_87
% 14.34/3.83 |
% 14.34/3.83 +-Applying beta-rule and splitting (82), into two cases.
% 14.34/3.83 |-Branch one:
% 14.34/3.83 | (1097) all_0_139_139 = e10
% 14.34/3.83 |
% 14.34/3.83 | Equations (1097) can reduce 504 to:
% 14.34/3.83 | (394) $false
% 14.34/3.83 |
% 14.34/3.83 |-The branch is then unsatisfiable
% 14.34/3.83 |-Branch two:
% 14.34/3.83 | (504) ~ (all_0_139_139 = e10)
% 14.34/3.83 | (1100) all_0_139_139 = e13 | all_0_139_139 = e12
% 14.34/3.83 |
% 14.34/3.83 +-Applying beta-rule and splitting (214), into two cases.
% 14.34/3.83 |-Branch one:
% 14.34/3.83 | (932) all_0_139_139 = e12
% 14.34/3.83 |
% 14.34/3.83 | Equations (932) can reduce 345 to:
% 14.34/3.83 | (1102) ~ (all_0_141_141 = e12)
% 14.34/3.83 |
% 14.34/3.83 | Simplifying 1102 yields:
% 14.34/3.83 | (912) ~ (all_0_141_141 = e12)
% 14.34/3.83 |
% 14.34/3.83 | Equations (932) can reduce 504 to:
% 14.34/3.83 | (133) ~ (e12 = e10)
% 14.34/3.83 |
% 14.34/3.83 | From (932) and (371) follows:
% 14.34/3.83 | (1105) h1(e12) = all_0_83_83
% 14.34/3.83 |
% 14.34/3.83 +-Applying beta-rule and splitting (154), into two cases.
% 14.34/3.83 |-Branch one:
% 14.34/3.83 | (920) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)) | (all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10)) | (all_0_141_141 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_140_140 = e11)) | (all_0_145_145 = e12 & all_0_148_148 = e10 & ~ (all_0_144_144 = e11))
% 14.34/3.83 |
% 14.34/3.83 +-Applying beta-rule and splitting (920), into two cases.
% 14.34/3.83 |-Branch one:
% 14.34/3.83 | (921) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)) | (all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10)) | (all_0_141_141 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_140_140 = e11))
% 14.34/3.83 |
% 14.34/3.83 +-Applying beta-rule and splitting (921), into two cases.
% 14.34/3.83 |-Branch one:
% 14.34/3.83 | (922) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)) | (all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10))
% 14.34/3.83 |
% 14.34/3.83 +-Applying beta-rule and splitting (922), into two cases.
% 14.34/3.83 |-Branch one:
% 14.34/3.83 | (923) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12))
% 14.34/3.83 |
% 14.34/3.83 +-Applying beta-rule and splitting (923), into two cases.
% 14.34/3.83 |-Branch one:
% 14.34/3.83 | (924) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10))
% 14.34/3.83 |
% 14.34/3.83 +-Applying beta-rule and splitting (924), into two cases.
% 14.34/3.83 |-Branch one:
% 14.34/3.83 | (925) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13))
% 14.34/3.83 |
% 14.34/3.83 +-Applying beta-rule and splitting (925), into two cases.
% 14.34/3.83 |-Branch one:
% 14.34/3.83 | (926) all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)
% 14.34/3.83 |
% 14.34/3.84 | Applying alpha-rule on (926) yields:
% 14.34/3.84 | (536) all_0_137_137 = e13
% 14.34/3.84 | (928) all_0_145_145 = e12
% 14.34/3.84 | (516) ~ (all_0_144_144 = e11)
% 14.34/3.84 |
% 14.34/3.84 | Equations (928) can reduce 1094 to:
% 14.34/3.84 | (1002) ~ (e13 = e12)
% 14.34/3.84 |
% 14.34/3.84 | Simplifying 1002 yields:
% 14.34/3.84 | (307) ~ (e13 = e12)
% 14.34/3.84 |
% 14.34/3.84 | From (928) and (115) follows:
% 14.34/3.84 | (1118) h1(e12) = all_0_89_89
% 14.34/3.84 |
% 14.34/3.84 +-Applying beta-rule and splitting (263), into two cases.
% 14.34/3.84 |-Branch one:
% 14.34/3.84 | (937) all_0_139_139 = e13
% 14.34/3.84 |
% 14.34/3.84 | Combining equations (937,932) yields a new equation:
% 14.34/3.84 | (1014) e13 = e12
% 14.34/3.84 |
% 14.34/3.84 | Simplifying 1014 yields:
% 14.34/3.84 | (938) e13 = e12
% 14.34/3.84 |
% 14.34/3.84 | Equations (938) can reduce 307 to:
% 14.34/3.84 | (394) $false
% 14.34/3.84 |
% 14.34/3.84 |-The branch is then unsatisfiable
% 14.34/3.84 |-Branch two:
% 14.34/3.84 | (940) ~ (all_0_139_139 = e13)
% 14.34/3.84 | (1124) all_0_140_140 = e13 | all_0_141_141 = e13
% 14.34/3.84 |
% 14.34/3.84 +-Applying beta-rule and splitting (1124), into two cases.
% 14.34/3.84 |-Branch one:
% 14.34/3.84 | (1125) all_0_140_140 = e13
% 14.34/3.84 |
% 14.34/3.84 | Combining equations (949,1125) yields a new equation:
% 14.34/3.84 | (1126) e13 = e11
% 14.34/3.84 |
% 14.34/3.84 | Equations (1126) can reduce 383 to:
% 14.34/3.84 | (394) $false
% 14.34/3.84 |
% 14.34/3.84 |-The branch is then unsatisfiable
% 14.34/3.84 |-Branch two:
% 14.34/3.84 | (934) ~ (all_0_140_140 = e13)
% 14.34/3.84 | (1129) all_0_141_141 = e13
% 14.34/3.84 |
% 14.34/3.84 | From (1129) and (169) follows:
% 14.34/3.84 | (1130) h1(e13) = all_0_85_85
% 14.34/3.84 |
% 14.34/3.84 | Instantiating formula (73) with e13, all_0_85_85, e23 and discharging atoms h1(e13) = all_0_85_85, h1(e13) = e23, yields:
% 14.34/3.84 | (1131) all_0_85_85 = e23
% 14.34/3.84 |
% 14.34/3.84 | Instantiating formula (73) with e13, all_0_87_87, all_0_85_85 and discharging atoms h1(e13) = all_0_85_85, h1(e13) = all_0_87_87, yields:
% 14.34/3.84 | (1132) all_0_85_85 = all_0_87_87
% 14.34/3.84 |
% 14.34/3.84 | Instantiating formula (73) with e12, all_0_83_83, e22 and discharging atoms h1(e12) = all_0_83_83, h1(e12) = e22, yields:
% 14.34/3.84 | (1133) all_0_83_83 = e22
% 14.34/3.84 |
% 14.34/3.84 | Instantiating formula (73) with e12, all_0_89_89, all_0_83_83 and discharging atoms h1(e12) = all_0_83_83, h1(e12) = all_0_89_89, yields:
% 14.34/3.84 | (1134) all_0_83_83 = all_0_89_89
% 14.34/3.84 |
% 14.34/3.84 | Combining equations (1133,1134) yields a new equation:
% 14.34/3.84 | (1135) all_0_89_89 = e22
% 14.34/3.84 |
% 14.34/3.84 | Combining equations (1132,1131) yields a new equation:
% 14.34/3.84 | (1136) all_0_87_87 = e23
% 14.34/3.84 |
% 14.34/3.84 | Simplifying 1136 yields:
% 14.34/3.84 | (1137) all_0_87_87 = e23
% 14.34/3.84 |
% 14.34/3.84 | Combining equations (1135,1134) yields a new equation:
% 14.34/3.84 | (1133) all_0_83_83 = e22
% 14.34/3.84 |
% 14.34/3.84 +-Applying beta-rule and splitting (385), into two cases.
% 14.34/3.84 |-Branch one:
% 14.34/3.84 | (1139) ~ (all_0_81_81 = all_0_124_124)
% 14.34/3.84 |
% 14.34/3.84 | Equations (541,436) can reduce 1139 to:
% 14.34/3.84 | (394) $false
% 14.34/3.84 |
% 14.34/3.84 |-The branch is then unsatisfiable
% 14.34/3.84 |-Branch two:
% 14.34/3.84 | (1141) all_0_81_81 = all_0_124_124
% 14.34/3.84 | (1142) ~ (all_0_82_82 = all_0_125_125) | ~ (all_0_83_83 = all_0_126_126) | ~ (all_0_84_84 = all_0_127_127) | ~ (all_0_85_85 = all_0_128_128) | ~ (all_0_86_86 = all_0_129_129) | ~ (all_0_87_87 = all_0_130_130) | ~ (all_0_88_88 = all_0_131_131) | ~ (all_0_89_89 = all_0_132_132) | ~ (all_0_90_90 = all_0_133_133) | ~ (all_0_91_91 = all_0_134_134) | ~ (all_0_92_92 = all_0_135_135) | ~ (all_0_93_93 = all_0_136_136)
% 14.34/3.84 |
% 14.34/3.84 +-Applying beta-rule and splitting (1142), into two cases.
% 14.34/3.84 |-Branch one:
% 14.34/3.84 | (1143) ~ (all_0_82_82 = all_0_125_125)
% 14.34/3.84 |
% 14.34/3.84 | Equations (542,416) can reduce 1143 to:
% 14.34/3.84 | (394) $false
% 14.34/3.84 |
% 14.34/3.84 |-The branch is then unsatisfiable
% 14.34/3.84 |-Branch two:
% 14.34/3.84 | (1145) all_0_82_82 = all_0_125_125
% 14.34/3.84 | (1146) ~ (all_0_83_83 = all_0_126_126) | ~ (all_0_84_84 = all_0_127_127) | ~ (all_0_85_85 = all_0_128_128) | ~ (all_0_86_86 = all_0_129_129) | ~ (all_0_87_87 = all_0_130_130) | ~ (all_0_88_88 = all_0_131_131) | ~ (all_0_89_89 = all_0_132_132) | ~ (all_0_90_90 = all_0_133_133) | ~ (all_0_91_91 = all_0_134_134) | ~ (all_0_92_92 = all_0_135_135) | ~ (all_0_93_93 = all_0_136_136)
% 14.34/3.84 |
% 14.34/3.84 +-Applying beta-rule and splitting (1146), into two cases.
% 14.34/3.84 |-Branch one:
% 14.34/3.84 | (1147) ~ (all_0_83_83 = all_0_126_126)
% 14.34/3.84 |
% 14.34/3.84 | Equations (1133,442) can reduce 1147 to:
% 14.34/3.84 | (394) $false
% 14.34/3.84 |
% 14.34/3.84 |-The branch is then unsatisfiable
% 14.34/3.84 |-Branch two:
% 14.34/3.84 | (1149) all_0_83_83 = all_0_126_126
% 14.34/3.84 | (1150) ~ (all_0_84_84 = all_0_127_127) | ~ (all_0_85_85 = all_0_128_128) | ~ (all_0_86_86 = all_0_129_129) | ~ (all_0_87_87 = all_0_130_130) | ~ (all_0_88_88 = all_0_131_131) | ~ (all_0_89_89 = all_0_132_132) | ~ (all_0_90_90 = all_0_133_133) | ~ (all_0_91_91 = all_0_134_134) | ~ (all_0_92_92 = all_0_135_135) | ~ (all_0_93_93 = all_0_136_136)
% 14.34/3.84 |
% 14.34/3.84 +-Applying beta-rule and splitting (1150), into two cases.
% 14.34/3.84 |-Branch one:
% 14.34/3.84 | (1151) ~ (all_0_84_84 = all_0_127_127)
% 14.34/3.84 |
% 14.34/3.84 | Equations (1007,452) can reduce 1151 to:
% 14.34/3.84 | (394) $false
% 14.34/3.84 |
% 14.34/3.84 |-The branch is then unsatisfiable
% 14.34/3.84 |-Branch two:
% 14.34/3.84 | (1153) all_0_84_84 = all_0_127_127
% 14.34/3.84 | (1154) ~ (all_0_85_85 = all_0_128_128) | ~ (all_0_86_86 = all_0_129_129) | ~ (all_0_87_87 = all_0_130_130) | ~ (all_0_88_88 = all_0_131_131) | ~ (all_0_89_89 = all_0_132_132) | ~ (all_0_90_90 = all_0_133_133) | ~ (all_0_91_91 = all_0_134_134) | ~ (all_0_92_92 = all_0_135_135) | ~ (all_0_93_93 = all_0_136_136)
% 14.34/3.84 |
% 14.34/3.84 +-Applying beta-rule and splitting (1154), into two cases.
% 14.34/3.84 |-Branch one:
% 14.34/3.84 | (1155) ~ (all_0_85_85 = all_0_128_128)
% 14.34/3.84 |
% 14.34/3.84 | Equations (1131,762) can reduce 1155 to:
% 14.34/3.84 | (394) $false
% 14.34/3.85 |
% 14.34/3.85 |-The branch is then unsatisfiable
% 14.34/3.85 |-Branch two:
% 14.34/3.85 | (1157) all_0_85_85 = all_0_128_128
% 14.34/3.85 | (1158) ~ (all_0_86_86 = all_0_129_129) | ~ (all_0_87_87 = all_0_130_130) | ~ (all_0_88_88 = all_0_131_131) | ~ (all_0_89_89 = all_0_132_132) | ~ (all_0_90_90 = all_0_133_133) | ~ (all_0_91_91 = all_0_134_134) | ~ (all_0_92_92 = all_0_135_135) | ~ (all_0_93_93 = all_0_136_136)
% 14.34/3.85 |
% 14.34/3.85 +-Applying beta-rule and splitting (1158), into two cases.
% 14.34/3.85 |-Branch one:
% 14.34/3.85 | (1159) ~ (all_0_86_86 = all_0_129_129)
% 14.34/3.85 |
% 14.34/3.85 | Equations (522,386) can reduce 1159 to:
% 14.34/3.85 | (394) $false
% 14.34/3.85 |
% 14.34/3.85 |-The branch is then unsatisfiable
% 14.34/3.85 |-Branch two:
% 14.34/3.85 | (1161) all_0_86_86 = all_0_129_129
% 14.34/3.85 | (1162) ~ (all_0_87_87 = all_0_130_130) | ~ (all_0_88_88 = all_0_131_131) | ~ (all_0_89_89 = all_0_132_132) | ~ (all_0_90_90 = all_0_133_133) | ~ (all_0_91_91 = all_0_134_134) | ~ (all_0_92_92 = all_0_135_135) | ~ (all_0_93_93 = all_0_136_136)
% 14.34/3.85 |
% 14.34/3.85 +-Applying beta-rule and splitting (1162), into two cases.
% 14.34/3.85 |-Branch one:
% 14.34/3.85 | (1163) ~ (all_0_87_87 = all_0_130_130)
% 14.34/3.85 |
% 14.34/3.85 | Equations (1137,587) can reduce 1163 to:
% 14.34/3.85 | (394) $false
% 14.34/3.85 |
% 14.34/3.85 |-The branch is then unsatisfiable
% 14.34/3.85 |-Branch two:
% 14.34/3.85 | (1165) all_0_87_87 = all_0_130_130
% 14.34/3.85 | (1166) ~ (all_0_88_88 = all_0_131_131) | ~ (all_0_89_89 = all_0_132_132) | ~ (all_0_90_90 = all_0_133_133) | ~ (all_0_91_91 = all_0_134_134) | ~ (all_0_92_92 = all_0_135_135) | ~ (all_0_93_93 = all_0_136_136)
% 14.34/3.85 |
% 14.34/3.85 +-Applying beta-rule and splitting (1166), into two cases.
% 14.34/3.85 |-Branch one:
% 14.34/3.85 | (1167) ~ (all_0_88_88 = all_0_131_131)
% 14.34/3.85 |
% 14.34/3.85 | Equations (895,498) can reduce 1167 to:
% 14.34/3.85 | (394) $false
% 14.34/3.85 |
% 14.34/3.85 |-The branch is then unsatisfiable
% 14.34/3.85 |-Branch two:
% 14.34/3.85 | (1169) all_0_88_88 = all_0_131_131
% 14.34/3.85 | (1170) ~ (all_0_89_89 = all_0_132_132) | ~ (all_0_90_90 = all_0_133_133) | ~ (all_0_91_91 = all_0_134_134) | ~ (all_0_92_92 = all_0_135_135) | ~ (all_0_93_93 = all_0_136_136)
% 14.34/3.85 |
% 14.34/3.85 +-Applying beta-rule and splitting (1170), into two cases.
% 14.34/3.85 |-Branch one:
% 14.34/3.85 | (1171) ~ (all_0_89_89 = all_0_132_132)
% 14.34/3.85 |
% 14.34/3.85 | Equations (1135,437) can reduce 1171 to:
% 14.34/3.85 | (394) $false
% 14.34/3.85 |
% 14.34/3.85 |-The branch is then unsatisfiable
% 14.34/3.85 |-Branch two:
% 14.34/3.85 | (1173) all_0_89_89 = all_0_132_132
% 14.34/3.85 | (1174) ~ (all_0_90_90 = all_0_133_133) | ~ (all_0_91_91 = all_0_134_134) | ~ (all_0_92_92 = all_0_135_135) | ~ (all_0_93_93 = all_0_136_136)
% 14.34/3.85 |
% 14.34/3.85 +-Applying beta-rule and splitting (1174), into two cases.
% 14.34/3.85 |-Branch one:
% 14.34/3.85 | (1175) ~ (all_0_90_90 = all_0_133_133)
% 14.34/3.85 |
% 14.34/3.85 | Equations (521,396) can reduce 1175 to:
% 14.34/3.85 | (394) $false
% 14.34/3.85 |
% 14.34/3.85 |-The branch is then unsatisfiable
% 14.34/3.85 |-Branch two:
% 14.34/3.85 | (1177) all_0_90_90 = all_0_133_133
% 14.34/3.85 | (1178) ~ (all_0_91_91 = all_0_134_134) | ~ (all_0_92_92 = all_0_135_135) | ~ (all_0_93_93 = all_0_136_136)
% 14.34/3.85 |
% 14.34/3.85 +-Applying beta-rule and splitting (1178), into two cases.
% 14.34/3.85 |-Branch one:
% 14.34/3.85 | (1179) ~ (all_0_91_91 = all_0_134_134)
% 14.34/3.85 |
% 14.34/3.85 | Equations (897,404) can reduce 1179 to:
% 14.34/3.85 | (394) $false
% 14.34/3.85 |
% 14.34/3.85 |-The branch is then unsatisfiable
% 14.34/3.85 |-Branch two:
% 14.34/3.85 | (1181) all_0_91_91 = all_0_134_134
% 14.34/3.85 | (1182) ~ (all_0_92_92 = all_0_135_135) | ~ (all_0_93_93 = all_0_136_136)
% 14.34/3.85 |
% 14.34/3.85 +-Applying beta-rule and splitting (1182), into two cases.
% 14.34/3.85 |-Branch one:
% 14.34/3.85 | (1183) ~ (all_0_92_92 = all_0_135_135)
% 14.34/3.85 |
% 14.34/3.85 | Equations (1006,552) can reduce 1183 to:
% 14.34/3.85 | (394) $false
% 14.34/3.85 |
% 14.34/3.85 |-The branch is then unsatisfiable
% 14.34/3.85 |-Branch two:
% 14.34/3.85 | (1185) all_0_92_92 = all_0_135_135
% 14.34/3.85 | (1186) ~ (all_0_93_93 = all_0_136_136)
% 14.34/3.85 |
% 14.34/3.85 | Equations (1009,723) can reduce 1186 to:
% 14.34/3.85 | (394) $false
% 14.34/3.85 |
% 14.34/3.85 |-The branch is then unsatisfiable
% 14.34/3.85 |-Branch two:
% 14.34/3.85 | (931) all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)
% 14.34/3.85 |
% 14.34/3.85 | Applying alpha-rule on (931) yields:
% 14.34/3.85 | (932) all_0_139_139 = e12
% 14.34/3.85 | (933) all_0_145_145 = e13
% 14.34/3.85 | (934) ~ (all_0_140_140 = e13)
% 14.34/3.85 |
% 14.34/3.85 | Equations (933) can reduce 1094 to:
% 14.34/3.85 | (394) $false
% 14.34/3.85 |
% 14.34/3.85 |-The branch is then unsatisfiable
% 14.34/3.85 |-Branch two:
% 14.34/3.85 | (943) all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)
% 14.34/3.86 |
% 14.34/3.86 | Applying alpha-rule on (943) yields:
% 14.34/3.86 | (932) all_0_139_139 = e12
% 14.34/3.86 | (934) ~ (all_0_140_140 = e13)
% 14.34/3.86 | (946) ~ (all_0_147_147 = e10)
% 14.34/3.86 |
% 14.34/3.86 | Equations (864) can reduce 946 to:
% 14.34/3.86 | (394) $false
% 14.34/3.86 |
% 14.34/3.86 |-The branch is then unsatisfiable
% 14.34/3.86 |-Branch two:
% 14.34/3.86 | (948) all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)
% 14.34/3.86 |
% 14.34/3.86 | Applying alpha-rule on (948) yields:
% 14.34/3.86 | (949) all_0_140_140 = e11
% 14.34/3.86 | (950) all_0_149_149 = e10
% 14.34/3.86 | (912) ~ (all_0_141_141 = e12)
% 14.34/3.86 |
% 14.34/3.86 | Combining equations (983,950) yields a new equation:
% 14.34/3.86 | (1064) e11 = e10
% 14.34/3.86 |
% 14.34/3.86 | Simplifying 1064 yields:
% 14.34/3.86 | (970) e11 = e10
% 14.34/3.86 |
% 14.34/3.86 | Equations (970) can reduce 252 to:
% 14.34/3.86 | (394) $false
% 14.34/3.86 |
% 14.34/3.86 |-The branch is then unsatisfiable
% 14.34/3.86 |-Branch two:
% 14.34/3.86 | (955) all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10)
% 14.34/3.86 |
% 14.34/3.86 | Applying alpha-rule on (955) yields:
% 14.34/3.86 | (884) all_0_140_140 = e10
% 14.34/3.86 | (514) all_0_146_146 = e11
% 14.34/3.86 | (891) ~ (all_0_145_145 = e10)
% 14.34/3.86 |
% 14.34/3.86 | Combining equations (949,884) yields a new equation:
% 14.34/3.86 | (1064) e11 = e10
% 14.34/3.86 |
% 14.34/3.86 | Simplifying 1064 yields:
% 14.34/3.86 | (970) e11 = e10
% 14.34/3.86 |
% 14.34/3.86 | Equations (970) can reduce 252 to:
% 14.34/3.86 | (394) $false
% 14.34/3.86 |
% 14.34/3.86 |-The branch is then unsatisfiable
% 14.34/3.86 |-Branch two:
% 14.34/3.86 | (960) all_0_141_141 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_140_140 = e11)
% 14.34/3.86 |
% 14.34/3.86 | Applying alpha-rule on (960) yields:
% 14.34/3.86 | (961) all_0_141_141 = e12
% 14.34/3.86 | (962) ~ (all_0_138_138 = e13)
% 14.34/3.86 | (963) ~ (all_0_140_140 = e11)
% 14.34/3.86 |
% 14.34/3.86 | Equations (961) can reduce 912 to:
% 14.34/3.86 | (394) $false
% 14.34/3.86 |
% 14.34/3.86 |-The branch is then unsatisfiable
% 14.34/3.86 |-Branch two:
% 14.34/3.86 | (966) all_0_145_145 = e12 & all_0_148_148 = e10 & ~ (all_0_144_144 = e11)
% 14.34/3.86 |
% 14.34/3.86 | Applying alpha-rule on (966) yields:
% 14.34/3.86 | (928) all_0_145_145 = e12
% 14.34/3.86 | (968) all_0_148_148 = e10
% 14.34/3.86 | (516) ~ (all_0_144_144 = e11)
% 14.34/3.86 |
% 14.34/3.86 | Combining equations (907,968) yields a new equation:
% 14.34/3.86 | (952) e12 = e10
% 14.34/3.86 |
% 14.34/3.86 | Simplifying 952 yields:
% 14.34/3.86 | (903) e12 = e10
% 14.34/3.86 |
% 14.34/3.86 | Equations (903) can reduce 133 to:
% 14.34/3.86 | (394) $false
% 14.34/3.86 |
% 14.34/3.86 |-The branch is then unsatisfiable
% 14.34/3.86 |-Branch two:
% 14.34/3.86 | (972) all_0_149_149 = e10 & ~ (all_0_138_138 = e13)
% 14.34/3.86 |
% 14.34/3.86 | Applying alpha-rule on (972) yields:
% 14.34/3.86 | (950) all_0_149_149 = e10
% 14.34/3.86 | (962) ~ (all_0_138_138 = e13)
% 14.34/3.86 |
% 14.34/3.86 | Combining equations (983,950) yields a new equation:
% 14.34/3.86 | (1064) e11 = e10
% 14.34/3.86 |
% 14.34/3.86 | Simplifying 1064 yields:
% 14.34/3.86 | (970) e11 = e10
% 14.34/3.86 |
% 14.34/3.86 | Equations (970) can reduce 252 to:
% 14.34/3.86 | (394) $false
% 14.34/3.86 |
% 14.34/3.86 |-The branch is then unsatisfiable
% 14.34/3.86 |-Branch two:
% 14.34/3.86 | (1017) ~ (all_0_139_139 = e12)
% 14.34/3.86 | (1025) all_0_143_143 = e12 | all_0_147_147 = e12
% 14.34/3.86 |
% 14.34/3.86 +-Applying beta-rule and splitting (357), into two cases.
% 14.34/3.86 |-Branch one:
% 14.34/3.86 | (1232) all_0_143_143 = e12
% 14.34/3.86 |
% 14.34/3.86 | Combining equations (941,1232) yields a new equation:
% 14.34/3.86 | (1014) e13 = e12
% 14.34/3.86 |
% 14.34/3.86 | Simplifying 1014 yields:
% 14.34/3.86 | (938) e13 = e12
% 14.34/3.86 |
% 14.34/3.86 | Equations (938) can reduce 307 to:
% 14.34/3.86 | (394) $false
% 14.34/3.86 |
% 14.34/3.86 |-The branch is then unsatisfiable
% 14.34/3.86 |-Branch two:
% 14.34/3.86 | (1236) ~ (all_0_143_143 = e12)
% 14.34/3.86 | (1237) all_0_144_144 = e12 | all_0_145_145 = e12
% 14.34/3.86 |
% 14.34/3.86 +-Applying beta-rule and splitting (263), into two cases.
% 14.34/3.86 |-Branch one:
% 14.34/3.86 | (937) all_0_139_139 = e13
% 14.34/3.86 |
% 14.34/3.86 | Equations (937) can reduce 940 to:
% 14.34/3.86 | (394) $false
% 14.34/3.86 |
% 14.34/3.86 |-The branch is then unsatisfiable
% 14.34/3.86 |-Branch two:
% 14.34/3.86 | (940) ~ (all_0_139_139 = e13)
% 14.34/3.86 | (1124) all_0_140_140 = e13 | all_0_141_141 = e13
% 14.34/3.86 |
% 14.34/3.86 +-Applying beta-rule and splitting (281), into two cases.
% 14.34/3.86 |-Branch one:
% 14.34/3.86 | (1242) all_0_145_145 = e10
% 14.34/3.86 |
% 14.34/3.86 | Equations (1242) can reduce 891 to:
% 14.34/3.86 | (394) $false
% 14.34/3.86 |
% 14.34/3.86 |-The branch is then unsatisfiable
% 14.34/3.86 |-Branch two:
% 14.34/3.86 | (891) ~ (all_0_145_145 = e10)
% 14.34/3.86 | (1245) all_0_145_145 = e13 | all_0_145_145 = e12 | all_0_145_145 = e11
% 14.34/3.86 |
% 14.34/3.86 +-Applying beta-rule and splitting (1124), into two cases.
% 14.34/3.86 |-Branch one:
% 14.34/3.86 | (1125) all_0_140_140 = e13
% 14.34/3.86 |
% 14.34/3.87 | Combining equations (949,1125) yields a new equation:
% 14.34/3.87 | (1126) e13 = e11
% 14.34/3.87 |
% 14.34/3.87 | Equations (1126) can reduce 383 to:
% 14.34/3.87 | (394) $false
% 14.34/3.87 |
% 14.34/3.87 |-The branch is then unsatisfiable
% 14.34/3.87 |-Branch two:
% 14.69/3.87 | (934) ~ (all_0_140_140 = e13)
% 14.69/3.87 | (1129) all_0_141_141 = e13
% 14.69/3.87 |
% 14.69/3.87 | Equations (1129) can reduce 107 to:
% 14.69/3.87 | (1093) ~ (all_0_145_145 = e13)
% 14.69/3.87 |
% 14.69/3.87 | Simplifying 1093 yields:
% 14.69/3.87 | (1094) ~ (all_0_145_145 = e13)
% 14.69/3.87 |
% 14.69/3.87 +-Applying beta-rule and splitting (1237), into two cases.
% 14.69/3.87 |-Branch one:
% 14.69/3.87 | (1253) all_0_144_144 = e12
% 14.69/3.87 |
% 14.69/3.87 | Combining equations (888,1253) yields a new equation:
% 14.69/3.87 | (903) e12 = e10
% 14.69/3.87 |
% 14.69/3.87 | Equations (903) can reduce 133 to:
% 14.69/3.87 | (394) $false
% 14.69/3.87 |
% 14.69/3.87 |-The branch is then unsatisfiable
% 14.69/3.87 |-Branch two:
% 14.69/3.87 | (1256) ~ (all_0_144_144 = e12)
% 14.69/3.87 | (928) all_0_145_145 = e12
% 14.69/3.87 |
% 14.69/3.87 | Equations (928) can reduce 1094 to:
% 14.69/3.87 | (1002) ~ (e13 = e12)
% 14.69/3.87 |
% 14.69/3.87 | Simplifying 1002 yields:
% 14.69/3.87 | (307) ~ (e13 = e12)
% 14.69/3.87 |
% 14.69/3.87 | Equations (928) can reduce 891 to:
% 14.69/3.87 | (133) ~ (e12 = e10)
% 14.69/3.87 |
% 14.69/3.87 +-Applying beta-rule and splitting (1025), into two cases.
% 14.69/3.87 |-Branch one:
% 14.69/3.87 | (1232) all_0_143_143 = e12
% 14.69/3.87 |
% 14.69/3.87 | Combining equations (941,1232) yields a new equation:
% 14.69/3.87 | (1014) e13 = e12
% 14.69/3.87 |
% 14.69/3.87 | Simplifying 1014 yields:
% 14.69/3.87 | (938) e13 = e12
% 14.69/3.87 |
% 14.69/3.87 | Equations (938) can reduce 307 to:
% 14.69/3.87 | (394) $false
% 14.69/3.87 |
% 14.69/3.87 |-The branch is then unsatisfiable
% 14.69/3.87 |-Branch two:
% 14.69/3.87 | (1236) ~ (all_0_143_143 = e12)
% 14.69/3.87 | (902) all_0_147_147 = e12
% 14.69/3.87 |
% 14.69/3.87 | Combining equations (864,902) yields a new equation:
% 14.69/3.87 | (903) e12 = e10
% 14.69/3.87 |
% 14.69/3.87 | Equations (903) can reduce 133 to:
% 14.69/3.87 | (394) $false
% 14.69/3.87 |
% 14.69/3.87 |-The branch is then unsatisfiable
% 14.69/3.87 |-Branch two:
% 14.69/3.87 | (910) ~ (all_0_148_148 = e12)
% 14.69/3.87 | (911) all_0_149_149 = e12
% 14.69/3.87 |
% 14.69/3.87 | Combining equations (911,983) yields a new equation:
% 14.69/3.87 | (1040) e12 = e11
% 14.69/3.87 |
% 14.69/3.87 | Simplifying 1040 yields:
% 14.69/3.87 | (908) e12 = e11
% 14.69/3.87 |
% 14.69/3.87 | Equations (908) can reduce 65 to:
% 14.69/3.87 | (394) $false
% 14.69/3.87 |
% 14.69/3.87 |-The branch is then unsatisfiable
% 14.69/3.87 |-Branch two:
% 14.69/3.87 | (963) ~ (all_0_140_140 = e11)
% 14.69/3.87 | (1275) all_0_144_144 = e11 | all_0_148_148 = e11
% 14.69/3.87 |
% 14.69/3.87 +-Applying beta-rule and splitting (349), into two cases.
% 14.69/3.87 |-Branch one:
% 14.69/3.87 | (949) all_0_140_140 = e11
% 14.69/3.87 |
% 14.69/3.87 | Equations (949) can reduce 963 to:
% 14.69/3.87 | (394) $false
% 14.69/3.87 |
% 14.69/3.87 |-The branch is then unsatisfiable
% 14.69/3.87 |-Branch two:
% 14.69/3.87 | (963) ~ (all_0_140_140 = e11)
% 14.69/3.87 | (1279) all_0_141_141 = e11 | all_0_142_142 = e11
% 14.69/3.87 |
% 14.69/3.87 +-Applying beta-rule and splitting (1279), into two cases.
% 14.69/3.87 |-Branch one:
% 14.69/3.87 | (916) all_0_141_141 = e11
% 14.69/3.87 |
% 14.69/3.87 | Equations (916) can reduce 978 to:
% 14.69/3.87 | (394) $false
% 14.69/3.87 |
% 14.69/3.87 |-The branch is then unsatisfiable
% 14.69/3.87 |-Branch two:
% 14.69/3.87 | (978) ~ (all_0_141_141 = e11)
% 14.69/3.87 | (1283) all_0_142_142 = e11
% 14.69/3.87 |
% 14.69/3.87 | Combining equations (503,1283) yields a new equation:
% 14.69/3.87 | (970) e11 = e10
% 14.69/3.87 |
% 14.69/3.87 | Equations (970) can reduce 252 to:
% 14.69/3.87 | (394) $false
% 14.69/3.87 |
% 14.69/3.87 |-The branch is then unsatisfiable
% 14.69/3.87 |-Branch two:
% 14.69/3.87 | (1286) ~ (all_0_144_144 = e10)
% 14.69/3.87 | (1287) all_0_145_145 = e10 | all_0_146_146 = e10
% 14.69/3.87 |
% 14.69/3.87 +-Applying beta-rule and splitting (887), into two cases.
% 14.69/3.87 |-Branch one:
% 14.69/3.88 | (888) all_0_144_144 = e10
% 14.69/3.88 |
% 14.69/3.88 | Equations (888) can reduce 1286 to:
% 14.69/3.88 | (394) $false
% 14.69/3.88 |
% 14.69/3.88 |-The branch is then unsatisfiable
% 14.69/3.88 |-Branch two:
% 14.69/3.88 | (1286) ~ (all_0_144_144 = e10)
% 14.69/3.88 | (968) all_0_148_148 = e10
% 14.69/3.88 |
% 14.69/3.88 | Equations (968) can reduce 868 to:
% 14.69/3.88 | (394) $false
% 14.69/3.88 |
% 14.69/3.88 |-The branch is then unsatisfiable
% 14.69/3.88 |-Branch two:
% 14.69/3.88 | (946) ~ (all_0_147_147 = e10)
% 14.69/3.88 | (902) all_0_147_147 = e12
% 14.69/3.88 |
% 14.69/3.88 | Equations (902) can reduce 228 to:
% 14.69/3.88 | (1017) ~ (all_0_139_139 = e12)
% 14.69/3.88 |
% 14.69/3.88 | Equations (902) can reduce 279 to:
% 14.69/3.88 | (1236) ~ (all_0_143_143 = e12)
% 14.69/3.88 |
% 14.69/3.88 | Equations (902) can reduce 290 to:
% 14.69/3.88 | (1297) ~ (all_0_148_148 = e12)
% 14.69/3.88 |
% 14.69/3.88 | Simplifying 1297 yields:
% 14.69/3.88 | (910) ~ (all_0_148_148 = e12)
% 14.69/3.88 |
% 14.69/3.88 | Equations (902) can reduce 946 to:
% 14.69/3.88 | (133) ~ (e12 = e10)
% 14.69/3.88 |
% 14.69/3.88 +-Applying beta-rule and splitting (46), into two cases.
% 14.69/3.88 |-Branch one:
% 14.69/3.88 | (950) all_0_149_149 = e10
% 14.69/3.88 |
% 14.69/3.88 | Equations (950) can reduce 529 to:
% 14.69/3.88 | (394) $false
% 14.69/3.88 |
% 14.69/3.88 |-The branch is then unsatisfiable
% 14.69/3.88 |-Branch two:
% 14.69/3.88 | (529) ~ (all_0_149_149 = e10)
% 14.69/3.88 | (1303) all_0_149_149 = e12 | all_0_149_149 = e11
% 14.69/3.88 |
% 14.69/3.88 +-Applying beta-rule and splitting (170), into two cases.
% 14.69/3.88 |-Branch one:
% 14.69/3.88 | (864) all_0_147_147 = e10
% 14.69/3.88 |
% 14.69/3.88 | Combining equations (902,864) yields a new equation:
% 14.69/3.88 | (952) e12 = e10
% 14.69/3.88 |
% 14.69/3.88 | Simplifying 952 yields:
% 14.69/3.88 | (903) e12 = e10
% 14.69/3.88 |
% 14.69/3.88 | Equations (903) can reduce 133 to:
% 14.69/3.88 | (394) $false
% 14.69/3.88 |
% 14.69/3.88 |-The branch is then unsatisfiable
% 14.69/3.88 |-Branch two:
% 14.69/3.88 | (946) ~ (all_0_147_147 = e10)
% 14.69/3.88 | (1309) all_0_148_148 = e10 | all_0_149_149 = e10
% 14.69/3.88 |
% 14.69/3.88 +-Applying beta-rule and splitting (82), into two cases.
% 14.69/3.88 |-Branch one:
% 14.69/3.88 | (1097) all_0_139_139 = e10
% 14.69/3.88 |
% 14.69/3.88 | Equations (1097) can reduce 504 to:
% 14.69/3.88 | (394) $false
% 14.69/3.88 |
% 14.69/3.88 |-The branch is then unsatisfiable
% 14.69/3.88 |-Branch two:
% 14.69/3.88 | (504) ~ (all_0_139_139 = e10)
% 14.69/3.88 | (1100) all_0_139_139 = e13 | all_0_139_139 = e12
% 14.69/3.88 |
% 14.69/3.88 +-Applying beta-rule and splitting (1309), into two cases.
% 14.69/3.88 |-Branch one:
% 14.69/3.88 | (968) all_0_148_148 = e10
% 14.69/3.88 |
% 14.69/3.88 | Equations (968) can reduce 32 to:
% 14.69/3.88 | (505) ~ (all_0_140_140 = e10)
% 14.69/3.88 |
% 14.69/3.88 | Equations (968) can reduce 199 to:
% 14.69/3.88 | (508) ~ (e13 = e10)
% 14.69/3.88 |
% 14.69/3.88 | Simplifying 508 yields:
% 14.69/3.88 | (86) ~ (e13 = e10)
% 14.69/3.88 |
% 14.69/3.88 | Equations (968) can reduce 910 to:
% 14.69/3.88 | (530) ~ (e12 = e10)
% 14.69/3.88 |
% 14.69/3.88 | Simplifying 530 yields:
% 14.69/3.88 | (133) ~ (e12 = e10)
% 14.69/3.88 |
% 14.69/3.88 +-Applying beta-rule and splitting (343), into two cases.
% 14.69/3.88 |-Branch one:
% 14.69/3.88 | (899) all_0_148_148 = e11
% 14.69/3.88 |
% 14.69/3.88 | Combining equations (968,899) yields a new equation:
% 14.69/3.88 | (970) e11 = e10
% 14.69/3.88 |
% 14.69/3.88 | Equations (970) can reduce 252 to:
% 14.69/3.88 | (394) $false
% 14.69/3.88 |
% 14.69/3.88 |-The branch is then unsatisfiable
% 14.69/3.88 |-Branch two:
% 14.69/3.88 | (986) ~ (all_0_148_148 = e11)
% 14.69/3.88 | (983) all_0_149_149 = e11
% 14.76/3.88 |
% 14.76/3.88 +-Applying beta-rule and splitting (163), into two cases.
% 14.76/3.88 |-Branch one:
% 14.76/3.88 | (1097) all_0_139_139 = e10
% 14.76/3.88 |
% 14.76/3.88 | Equations (1097) can reduce 504 to:
% 14.76/3.88 | (394) $false
% 14.76/3.88 |
% 14.76/3.88 |-The branch is then unsatisfiable
% 14.76/3.88 |-Branch two:
% 14.76/3.88 | (504) ~ (all_0_139_139 = e10)
% 14.76/3.88 | (1328) all_0_143_143 = e10 | all_0_147_147 = e10
% 14.76/3.88 |
% 14.76/3.88 +-Applying beta-rule and splitting (1328), into two cases.
% 14.76/3.88 |-Branch one:
% 14.76/3.88 | (874) all_0_143_143 = e10
% 14.76/3.88 |
% 14.76/3.88 | Equations (874) can reduce 2 to:
% 14.76/3.88 | (504) ~ (all_0_139_139 = e10)
% 14.76/3.88 |
% 14.76/3.88 | Equations (874) can reduce 1236 to:
% 14.76/3.88 | (530) ~ (e12 = e10)
% 14.76/3.88 |
% 14.76/3.88 | Simplifying 530 yields:
% 14.76/3.88 | (133) ~ (e12 = e10)
% 14.76/3.88 |
% 14.76/3.88 | Equations (874) can reduce 305 to:
% 14.76/3.88 | (532) ~ (e11 = e10)
% 14.76/3.88 |
% 14.76/3.88 | Simplifying 532 yields:
% 14.76/3.88 | (252) ~ (e11 = e10)
% 14.76/3.88 |
% 14.76/3.88 +-Applying beta-rule and splitting (286), into two cases.
% 14.76/3.88 |-Branch one:
% 14.76/3.88 | (937) all_0_139_139 = e13
% 14.76/3.88 |
% 14.76/3.88 | Equations (937) can reduce 345 to:
% 14.76/3.88 | (1336) ~ (all_0_141_141 = e13)
% 14.76/3.88 |
% 14.76/3.88 | Simplifying 1336 yields:
% 14.76/3.88 | (1337) ~ (all_0_141_141 = e13)
% 14.76/3.88 |
% 14.76/3.88 | Equations (937) can reduce 1017 to:
% 14.76/3.88 | (307) ~ (e13 = e12)
% 14.76/3.88 |
% 14.76/3.88 | Equations (937) can reduce 504 to:
% 14.76/3.88 | (86) ~ (e13 = e10)
% 14.76/3.88 |
% 14.76/3.88 +-Applying beta-rule and splitting (349), into two cases.
% 14.76/3.88 |-Branch one:
% 14.76/3.88 | (949) all_0_140_140 = e11
% 14.76/3.88 |
% 14.76/3.89 | Equations (949) can reduce 302 to:
% 14.76/3.89 | (1341) ~ (all_0_144_144 = e11)
% 14.76/3.89 |
% 14.76/3.89 | Simplifying 1341 yields:
% 14.76/3.89 | (516) ~ (all_0_144_144 = e11)
% 14.76/3.89 |
% 14.76/3.89 | Equations (949) can reduce 505 to:
% 14.76/3.89 | (252) ~ (e11 = e10)
% 14.76/3.89 |
% 14.76/3.89 +-Applying beta-rule and splitting (265), into two cases.
% 14.76/3.89 |-Branch one:
% 14.76/3.89 | (1344) all_0_138_138 = e13
% 14.76/3.89 |
% 14.76/3.89 | Combining equations (1344,525) yields a new equation:
% 14.76/3.89 | (879) e13 = e10
% 14.76/3.89 |
% 14.76/3.89 | Simplifying 879 yields:
% 14.76/3.89 | (880) e13 = e10
% 14.76/3.89 |
% 14.76/3.89 | Equations (880) can reduce 86 to:
% 14.76/3.89 | (394) $false
% 14.76/3.89 |
% 14.76/3.89 |-The branch is then unsatisfiable
% 14.76/3.89 |-Branch two:
% 14.76/3.89 | (962) ~ (all_0_138_138 = e13)
% 14.76/3.89 | (1349) all_0_141_141 = e13 | all_0_145_145 = e13
% 14.76/3.89 |
% 14.76/3.89 | Equations (525) can reduce 962 to:
% 14.76/3.89 | (508) ~ (e13 = e10)
% 14.76/3.89 |
% 14.76/3.89 | Simplifying 508 yields:
% 14.76/3.89 | (86) ~ (e13 = e10)
% 14.76/3.89 |
% 14.76/3.89 +-Applying beta-rule and splitting (249), into two cases.
% 14.76/3.89 |-Branch one:
% 14.76/3.89 | (932) all_0_139_139 = e12
% 14.76/3.89 |
% 14.76/3.89 | Combining equations (937,932) yields a new equation:
% 14.76/3.89 | (1014) e13 = e12
% 14.76/3.89 |
% 14.76/3.89 | Simplifying 1014 yields:
% 14.76/3.89 | (938) e13 = e12
% 14.76/3.89 |
% 14.76/3.89 | Equations (938) can reduce 307 to:
% 14.76/3.89 | (394) $false
% 14.76/3.89 |
% 14.76/3.89 |-The branch is then unsatisfiable
% 14.76/3.89 |-Branch two:
% 14.76/3.89 | (1017) ~ (all_0_139_139 = e12)
% 14.76/3.89 | (1018) all_0_140_140 = e12 | all_0_141_141 = e12
% 14.76/3.89 |
% 14.76/3.89 | Equations (937) can reduce 1017 to:
% 14.76/3.89 | (307) ~ (e13 = e12)
% 14.76/3.89 |
% 14.76/3.89 +-Applying beta-rule and splitting (51), into two cases.
% 14.76/3.89 |-Branch one:
% 14.76/3.89 | (941) all_0_143_143 = e13
% 14.76/3.89 |
% 14.76/3.89 | Combining equations (941,874) yields a new equation:
% 14.76/3.89 | (879) e13 = e10
% 14.76/3.89 |
% 14.76/3.89 | Simplifying 879 yields:
% 14.76/3.89 | (880) e13 = e10
% 14.76/3.89 |
% 14.76/3.89 | Equations (880) can reduce 86 to:
% 14.76/3.89 | (394) $false
% 14.76/3.89 |
% 14.76/3.89 |-The branch is then unsatisfiable
% 14.76/3.89 |-Branch two:
% 14.76/3.89 | (935) ~ (all_0_143_143 = e13)
% 14.76/3.89 | (1364) all_0_144_144 = e13 | all_0_145_145 = e13
% 14.76/3.89 |
% 14.76/3.89 | Equations (874) can reduce 935 to:
% 14.76/3.89 | (508) ~ (e13 = e10)
% 14.76/3.89 |
% 14.76/3.89 | Simplifying 508 yields:
% 14.76/3.89 | (86) ~ (e13 = e10)
% 14.76/3.89 |
% 14.76/3.89 +-Applying beta-rule and splitting (246), into two cases.
% 14.76/3.89 |-Branch one:
% 14.76/3.89 | (1367) (all_0_111_111 = e12 & all_0_112_112 = e11 & all_0_137_137 = e10 & all_0_138_138 = e13 & all_0_147_147 = e10 & ~ (all_0_145_145 = e13) & ( ~ (all_0_140_140 = e13) | all_0_139_139 = e12)) | (all_0_113_113 = e13 & all_0_114_114 = e12 & all_0_115_115 = e11 & all_0_116_116 = e10 & ( ~ (all_0_145_145 = e12) | all_0_144_144 = e11)) | (all_0_117_117 = e13 & all_0_118_118 = e12 & all_0_119_119 = e11 & all_0_120_120 = e10 & all_0_138_138 = e13 & ( ~ (all_0_140_140 = e11) | all_0_141_141 = e12))
% 14.76/3.89 |
% 14.76/3.89 +-Applying beta-rule and splitting (1367), into two cases.
% 14.76/3.89 |-Branch one:
% 14.76/3.89 | (1368) (all_0_111_111 = e12 & all_0_112_112 = e11 & all_0_137_137 = e10 & all_0_138_138 = e13 & all_0_147_147 = e10 & ~ (all_0_145_145 = e13) & ( ~ (all_0_140_140 = e13) | all_0_139_139 = e12)) | (all_0_113_113 = e13 & all_0_114_114 = e12 & all_0_115_115 = e11 & all_0_116_116 = e10 & ( ~ (all_0_145_145 = e12) | all_0_144_144 = e11))
% 14.76/3.89 |
% 14.76/3.89 +-Applying beta-rule and splitting (1368), into two cases.
% 14.76/3.89 |-Branch one:
% 14.76/3.89 | (1369) all_0_111_111 = e12 & all_0_112_112 = e11 & all_0_137_137 = e10 & all_0_138_138 = e13 & all_0_147_147 = e10 & ~ (all_0_145_145 = e13) & ( ~ (all_0_140_140 = e13) | all_0_139_139 = e12)
% 14.76/3.89 |
% 14.76/3.89 | Applying alpha-rule on (1369) yields:
% 14.76/3.89 | (1370) all_0_111_111 = e12
% 14.76/3.89 | (864) all_0_147_147 = e10
% 14.76/3.89 | (1372) ~ (all_0_140_140 = e13) | all_0_139_139 = e12
% 14.76/3.89 | (1094) ~ (all_0_145_145 = e13)
% 14.76/3.89 | (1344) all_0_138_138 = e13
% 14.76/3.89 | (1375) all_0_112_112 = e11
% 14.76/3.89 | (878) all_0_137_137 = e10
% 14.76/3.89 |
% 14.76/3.89 | Combining equations (540,1375) yields a new equation:
% 14.76/3.89 | (1040) e12 = e11
% 14.76/3.89 |
% 14.76/3.89 | Simplifying 1040 yields:
% 14.76/3.89 | (908) e12 = e11
% 14.76/3.89 |
% 14.76/3.89 | Combining equations (902,864) yields a new equation:
% 14.76/3.89 | (952) e12 = e10
% 14.76/3.89 |
% 14.76/3.89 | Simplifying 952 yields:
% 14.76/3.89 | (903) e12 = e10
% 14.76/3.89 |
% 14.76/3.89 | Combining equations (903,908) yields a new equation:
% 14.76/3.89 | (970) e11 = e10
% 14.76/3.89 |
% 14.76/3.89 | Equations (970) can reduce 252 to:
% 14.76/3.89 | (394) $false
% 14.76/3.89 |
% 14.76/3.89 |-The branch is then unsatisfiable
% 14.76/3.89 |-Branch two:
% 14.76/3.89 | (1383) all_0_113_113 = e13 & all_0_114_114 = e12 & all_0_115_115 = e11 & all_0_116_116 = e10 & ( ~ (all_0_145_145 = e12) | all_0_144_144 = e11)
% 14.76/3.89 |
% 14.76/3.89 | Applying alpha-rule on (1383) yields:
% 14.76/3.89 | (1384) all_0_114_114 = e12
% 14.76/3.89 | (1385) all_0_115_115 = e11
% 14.76/3.89 | (1386) ~ (all_0_145_145 = e12) | all_0_144_144 = e11
% 14.76/3.89 | (1387) all_0_116_116 = e10
% 14.76/3.89 | (1388) all_0_113_113 = e13
% 14.76/3.89 |
% 14.76/3.89 +-Applying beta-rule and splitting (1386), into two cases.
% 14.76/3.89 |-Branch one:
% 14.76/3.89 | (913) ~ (all_0_145_145 = e12)
% 14.76/3.89 |
% 14.76/3.89 +-Applying beta-rule and splitting (340), into two cases.
% 14.76/3.89 |-Branch one:
% 14.76/3.89 | (961) all_0_141_141 = e12
% 14.76/3.89 |
% 14.76/3.89 | Equations (961) can reduce 107 to:
% 14.76/3.89 | (1391) ~ (all_0_145_145 = e12)
% 14.76/3.89 |
% 14.76/3.89 | Simplifying 1391 yields:
% 14.76/3.90 | (913) ~ (all_0_145_145 = e12)
% 14.76/3.90 |
% 14.76/3.90 | Equations (961) can reduce 1337 to:
% 14.76/3.90 | (1002) ~ (e13 = e12)
% 14.76/3.90 |
% 14.76/3.90 | Simplifying 1002 yields:
% 14.76/3.90 | (307) ~ (e13 = e12)
% 14.76/3.90 |
% 14.76/3.90 +-Applying beta-rule and splitting (154), into two cases.
% 14.76/3.90 |-Branch one:
% 14.76/3.90 | (920) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)) | (all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10)) | (all_0_141_141 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_140_140 = e11)) | (all_0_145_145 = e12 & all_0_148_148 = e10 & ~ (all_0_144_144 = e11))
% 14.76/3.90 |
% 14.76/3.90 +-Applying beta-rule and splitting (920), into two cases.
% 14.76/3.90 |-Branch one:
% 14.76/3.90 | (921) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)) | (all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10)) | (all_0_141_141 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_140_140 = e11))
% 14.76/3.90 |
% 14.76/3.90 +-Applying beta-rule and splitting (921), into two cases.
% 14.76/3.90 |-Branch one:
% 14.76/3.90 | (922) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)) | (all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10))
% 14.76/3.90 |
% 14.76/3.90 +-Applying beta-rule and splitting (922), into two cases.
% 14.76/3.90 |-Branch one:
% 14.76/3.90 | (923) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12))
% 14.76/3.90 |
% 14.76/3.90 +-Applying beta-rule and splitting (923), into two cases.
% 14.76/3.90 |-Branch one:
% 14.76/3.90 | (924) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10))
% 14.76/3.90 |
% 14.76/3.90 +-Applying beta-rule and splitting (924), into two cases.
% 14.76/3.90 |-Branch one:
% 14.76/3.90 | (925) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13))
% 14.76/3.90 |
% 14.76/3.90 +-Applying beta-rule and splitting (925), into two cases.
% 14.76/3.90 |-Branch one:
% 14.76/3.90 | (926) all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)
% 14.76/3.90 |
% 14.76/3.90 | Applying alpha-rule on (926) yields:
% 14.76/3.90 | (536) all_0_137_137 = e13
% 14.76/3.90 | (928) all_0_145_145 = e12
% 14.76/3.90 | (516) ~ (all_0_144_144 = e11)
% 14.76/3.90 |
% 14.76/3.90 | Equations (928) can reduce 913 to:
% 14.76/3.90 | (394) $false
% 14.76/3.90 |
% 14.76/3.90 |-The branch is then unsatisfiable
% 14.76/3.90 |-Branch two:
% 14.76/3.90 | (931) all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)
% 14.76/3.90 |
% 14.76/3.90 | Applying alpha-rule on (931) yields:
% 14.76/3.90 | (932) all_0_139_139 = e12
% 14.76/3.90 | (933) all_0_145_145 = e13
% 14.76/3.90 | (934) ~ (all_0_140_140 = e13)
% 14.76/3.90 |
% 14.76/3.90 | Combining equations (937,932) yields a new equation:
% 14.76/3.90 | (1014) e13 = e12
% 14.76/3.90 |
% 14.76/3.90 | Simplifying 1014 yields:
% 14.76/3.90 | (938) e13 = e12
% 14.76/3.90 |
% 14.76/3.90 | Equations (938) can reduce 307 to:
% 14.76/3.90 | (394) $false
% 14.76/3.90 |
% 14.76/3.90 |-The branch is then unsatisfiable
% 14.76/3.90 |-Branch two:
% 14.76/3.90 | (943) all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)
% 14.76/3.90 |
% 14.76/3.90 | Applying alpha-rule on (943) yields:
% 14.76/3.90 | (932) all_0_139_139 = e12
% 14.76/3.90 | (934) ~ (all_0_140_140 = e13)
% 14.76/3.90 | (946) ~ (all_0_147_147 = e10)
% 14.76/3.90 |
% 14.76/3.90 | Combining equations (932,937) yields a new equation:
% 14.76/3.90 | (938) e13 = e12
% 14.76/3.90 |
% 14.76/3.90 | Equations (938) can reduce 307 to:
% 14.76/3.90 | (394) $false
% 14.76/3.90 |
% 14.76/3.90 |-The branch is then unsatisfiable
% 14.76/3.90 |-Branch two:
% 14.76/3.90 | (948) all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)
% 14.76/3.90 |
% 14.76/3.90 | Applying alpha-rule on (948) yields:
% 14.76/3.90 | (949) all_0_140_140 = e11
% 14.76/3.90 | (950) all_0_149_149 = e10
% 14.76/3.90 | (912) ~ (all_0_141_141 = e12)
% 14.76/3.90 |
% 14.76/3.90 | Combining equations (983,950) yields a new equation:
% 14.76/3.90 | (1064) e11 = e10
% 14.76/3.90 |
% 14.76/3.90 | Simplifying 1064 yields:
% 14.76/3.90 | (970) e11 = e10
% 14.76/3.90 |
% 14.76/3.90 | Equations (970) can reduce 252 to:
% 14.76/3.90 | (394) $false
% 14.76/3.90 |
% 14.76/3.90 |-The branch is then unsatisfiable
% 14.76/3.90 |-Branch two:
% 14.76/3.90 | (955) all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10)
% 14.76/3.90 |
% 14.76/3.90 | Applying alpha-rule on (955) yields:
% 14.76/3.90 | (884) all_0_140_140 = e10
% 14.76/3.90 | (514) all_0_146_146 = e11
% 14.76/3.90 | (891) ~ (all_0_145_145 = e10)
% 14.76/3.90 |
% 14.76/3.90 | Combining equations (949,884) yields a new equation:
% 14.76/3.90 | (1064) e11 = e10
% 14.76/3.90 |
% 14.76/3.90 | Simplifying 1064 yields:
% 14.76/3.90 | (970) e11 = e10
% 14.76/3.90 |
% 14.76/3.90 | Equations (970) can reduce 252 to:
% 14.76/3.90 | (394) $false
% 14.76/3.90 |
% 14.76/3.90 |-The branch is then unsatisfiable
% 14.76/3.90 |-Branch two:
% 14.76/3.90 | (960) all_0_141_141 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_140_140 = e11)
% 14.76/3.90 |
% 14.76/3.90 | Applying alpha-rule on (960) yields:
% 14.76/3.90 | (961) all_0_141_141 = e12
% 14.76/3.90 | (962) ~ (all_0_138_138 = e13)
% 14.76/3.90 | (963) ~ (all_0_140_140 = e11)
% 14.76/3.90 |
% 14.76/3.90 | Equations (949) can reduce 963 to:
% 14.76/3.90 | (394) $false
% 14.76/3.90 |
% 14.76/3.90 |-The branch is then unsatisfiable
% 14.76/3.90 |-Branch two:
% 14.76/3.90 | (966) all_0_145_145 = e12 & all_0_148_148 = e10 & ~ (all_0_144_144 = e11)
% 14.76/3.90 |
% 14.76/3.90 | Applying alpha-rule on (966) yields:
% 14.76/3.90 | (928) all_0_145_145 = e12
% 14.76/3.90 | (968) all_0_148_148 = e10
% 14.76/3.90 | (516) ~ (all_0_144_144 = e11)
% 14.76/3.90 |
% 14.76/3.91 | Equations (928) can reduce 913 to:
% 14.76/3.91 | (394) $false
% 14.76/3.91 |
% 14.76/3.91 |-The branch is then unsatisfiable
% 14.76/3.91 |-Branch two:
% 14.76/3.91 | (972) all_0_149_149 = e10 & ~ (all_0_138_138 = e13)
% 14.76/3.91 |
% 14.76/3.91 | Applying alpha-rule on (972) yields:
% 14.76/3.91 | (950) all_0_149_149 = e10
% 14.76/3.91 | (962) ~ (all_0_138_138 = e13)
% 14.76/3.91 |
% 14.76/3.91 | Combining equations (950,983) yields a new equation:
% 14.76/3.91 | (970) e11 = e10
% 14.76/3.91 |
% 14.76/3.91 | Equations (970) can reduce 252 to:
% 14.76/3.91 | (394) $false
% 14.76/3.91 |
% 14.76/3.91 |-The branch is then unsatisfiable
% 14.76/3.91 |-Branch two:
% 14.76/3.91 | (912) ~ (all_0_141_141 = e12)
% 14.76/3.91 | (1449) all_0_145_145 = e12 | all_0_149_149 = e12
% 14.76/3.91 |
% 14.76/3.91 +-Applying beta-rule and splitting (154), into two cases.
% 14.76/3.91 |-Branch one:
% 14.76/3.91 | (920) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)) | (all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10)) | (all_0_141_141 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_140_140 = e11)) | (all_0_145_145 = e12 & all_0_148_148 = e10 & ~ (all_0_144_144 = e11))
% 14.76/3.91 |
% 14.76/3.91 +-Applying beta-rule and splitting (920), into two cases.
% 14.76/3.91 |-Branch one:
% 14.76/3.91 | (921) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)) | (all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10)) | (all_0_141_141 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_140_140 = e11))
% 14.76/3.91 |
% 14.76/3.91 +-Applying beta-rule and splitting (921), into two cases.
% 14.76/3.91 |-Branch one:
% 14.76/3.91 | (922) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)) | (all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10))
% 14.76/3.91 |
% 14.76/3.91 +-Applying beta-rule and splitting (922), into two cases.
% 14.76/3.91 |-Branch one:
% 14.76/3.91 | (923) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12))
% 14.76/3.91 |
% 14.76/3.91 +-Applying beta-rule and splitting (923), into two cases.
% 14.76/3.91 |-Branch one:
% 14.76/3.91 | (924) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10))
% 14.76/3.91 |
% 14.76/3.91 +-Applying beta-rule and splitting (924), into two cases.
% 14.76/3.91 |-Branch one:
% 14.76/3.91 | (925) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13))
% 14.76/3.91 |
% 14.76/3.91 +-Applying beta-rule and splitting (925), into two cases.
% 14.76/3.91 |-Branch one:
% 14.76/3.91 | (926) all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)
% 14.76/3.91 |
% 14.76/3.91 | Applying alpha-rule on (926) yields:
% 14.76/3.91 | (536) all_0_137_137 = e13
% 14.76/3.91 | (928) all_0_145_145 = e12
% 14.76/3.91 | (516) ~ (all_0_144_144 = e11)
% 14.76/3.91 |
% 14.76/3.91 | Equations (928) can reduce 913 to:
% 14.76/3.91 | (394) $false
% 14.76/3.91 |
% 14.76/3.91 |-The branch is then unsatisfiable
% 14.76/3.91 |-Branch two:
% 14.76/3.91 | (931) all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)
% 14.76/3.91 |
% 14.76/3.91 | Applying alpha-rule on (931) yields:
% 14.76/3.91 | (932) all_0_139_139 = e12
% 14.76/3.91 | (933) all_0_145_145 = e13
% 14.76/3.91 | (934) ~ (all_0_140_140 = e13)
% 14.76/3.91 |
% 14.76/3.91 | Combining equations (932,937) yields a new equation:
% 14.76/3.91 | (938) e13 = e12
% 14.76/3.91 |
% 14.76/3.91 | Equations (938) can reduce 307 to:
% 14.76/3.91 | (394) $false
% 14.76/3.91 |
% 14.76/3.91 |-The branch is then unsatisfiable
% 14.76/3.91 |-Branch two:
% 14.76/3.91 | (943) all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)
% 14.76/3.91 |
% 14.76/3.91 | Applying alpha-rule on (943) yields:
% 14.76/3.91 | (932) all_0_139_139 = e12
% 14.76/3.91 | (934) ~ (all_0_140_140 = e13)
% 14.76/3.91 | (946) ~ (all_0_147_147 = e10)
% 14.76/3.91 |
% 14.76/3.91 | Combining equations (937,932) yields a new equation:
% 14.76/3.91 | (1014) e13 = e12
% 14.76/3.91 |
% 14.76/3.91 | Simplifying 1014 yields:
% 14.76/3.91 | (938) e13 = e12
% 14.76/3.91 |
% 14.76/3.91 | Equations (938) can reduce 307 to:
% 14.76/3.91 | (394) $false
% 14.76/3.91 |
% 14.76/3.91 |-The branch is then unsatisfiable
% 14.76/3.91 |-Branch two:
% 14.76/3.91 | (948) all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)
% 14.76/3.91 |
% 14.76/3.91 | Applying alpha-rule on (948) yields:
% 14.76/3.91 | (949) all_0_140_140 = e11
% 14.76/3.91 | (950) all_0_149_149 = e10
% 14.76/3.91 | (912) ~ (all_0_141_141 = e12)
% 14.76/3.91 |
% 14.76/3.91 | Combining equations (983,950) yields a new equation:
% 14.76/3.91 | (1064) e11 = e10
% 14.76/3.91 |
% 14.76/3.91 | Simplifying 1064 yields:
% 14.76/3.91 | (970) e11 = e10
% 14.76/3.91 |
% 14.76/3.91 | Equations (970) can reduce 252 to:
% 14.76/3.91 | (394) $false
% 14.76/3.91 |
% 14.76/3.91 |-The branch is then unsatisfiable
% 14.76/3.91 |-Branch two:
% 14.76/3.91 | (955) all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10)
% 14.76/3.91 |
% 14.76/3.91 | Applying alpha-rule on (955) yields:
% 14.76/3.91 | (884) all_0_140_140 = e10
% 14.76/3.91 | (514) all_0_146_146 = e11
% 14.76/3.91 | (891) ~ (all_0_145_145 = e10)
% 14.76/3.91 |
% 14.76/3.91 | Combining equations (884,949) yields a new equation:
% 14.76/3.91 | (970) e11 = e10
% 14.76/3.91 |
% 14.76/3.91 | Equations (970) can reduce 252 to:
% 14.76/3.91 | (394) $false
% 14.76/3.91 |
% 14.76/3.91 |-The branch is then unsatisfiable
% 14.76/3.91 |-Branch two:
% 14.76/3.91 | (960) all_0_141_141 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_140_140 = e11)
% 14.76/3.91 |
% 14.76/3.91 | Applying alpha-rule on (960) yields:
% 14.76/3.91 | (961) all_0_141_141 = e12
% 14.76/3.91 | (962) ~ (all_0_138_138 = e13)
% 14.76/3.91 | (963) ~ (all_0_140_140 = e11)
% 14.76/3.91 |
% 14.76/3.91 | Equations (961) can reduce 912 to:
% 14.76/3.91 | (394) $false
% 14.76/3.91 |
% 14.76/3.91 |-The branch is then unsatisfiable
% 14.76/3.92 |-Branch two:
% 14.76/3.92 | (966) all_0_145_145 = e12 & all_0_148_148 = e10 & ~ (all_0_144_144 = e11)
% 14.76/3.92 |
% 14.76/3.92 | Applying alpha-rule on (966) yields:
% 14.76/3.92 | (928) all_0_145_145 = e12
% 14.76/3.92 | (968) all_0_148_148 = e10
% 14.76/3.92 | (516) ~ (all_0_144_144 = e11)
% 14.76/3.92 |
% 14.76/3.92 | Equations (928) can reduce 913 to:
% 14.76/3.92 | (394) $false
% 14.76/3.92 |
% 14.76/3.92 |-The branch is then unsatisfiable
% 14.76/3.92 |-Branch two:
% 14.76/3.92 | (972) all_0_149_149 = e10 & ~ (all_0_138_138 = e13)
% 14.76/3.92 |
% 14.76/3.92 | Applying alpha-rule on (972) yields:
% 14.76/3.92 | (950) all_0_149_149 = e10
% 14.76/3.92 | (962) ~ (all_0_138_138 = e13)
% 14.76/3.92 |
% 14.76/3.92 | Combining equations (983,950) yields a new equation:
% 14.76/3.92 | (1064) e11 = e10
% 14.76/3.92 |
% 14.76/3.92 | Simplifying 1064 yields:
% 14.76/3.92 | (970) e11 = e10
% 14.76/3.92 |
% 14.76/3.92 | Equations (970) can reduce 252 to:
% 14.76/3.92 | (394) $false
% 14.76/3.92 |
% 14.76/3.92 |-The branch is then unsatisfiable
% 14.76/3.92 |-Branch two:
% 14.76/3.92 | (928) all_0_145_145 = e12
% 14.76/3.92 | (1504) all_0_144_144 = e11
% 14.76/3.92 |
% 14.76/3.92 | Equations (1504) can reduce 516 to:
% 14.76/3.92 | (394) $false
% 14.76/3.92 |
% 14.76/3.92 |-The branch is then unsatisfiable
% 14.76/3.92 |-Branch two:
% 14.76/3.92 | (1506) all_0_117_117 = e13 & all_0_118_118 = e12 & all_0_119_119 = e11 & all_0_120_120 = e10 & all_0_138_138 = e13 & ( ~ (all_0_140_140 = e11) | all_0_141_141 = e12)
% 14.76/3.92 |
% 14.76/3.92 | Applying alpha-rule on (1506) yields:
% 14.76/3.92 | (1507) ~ (all_0_140_140 = e11) | all_0_141_141 = e12
% 14.76/3.92 | (1508) all_0_118_118 = e12
% 14.76/3.92 | (1344) all_0_138_138 = e13
% 14.76/3.92 | (1510) all_0_120_120 = e10
% 14.76/3.92 | (1511) all_0_117_117 = e13
% 14.76/3.92 | (1512) all_0_119_119 = e11
% 14.76/3.92 |
% 14.76/3.92 | Combining equations (525,1344) yields a new equation:
% 14.76/3.92 | (880) e13 = e10
% 14.76/3.92 |
% 14.76/3.92 | Equations (880) can reduce 86 to:
% 14.76/3.92 | (394) $false
% 14.76/3.92 |
% 14.76/3.92 |-The branch is then unsatisfiable
% 14.76/3.92 |-Branch two:
% 14.76/3.92 | (1515) all_0_121_121 = e13 & all_0_122_122 = e12 & all_0_123_123 = e11 & all_0_147_147 = e10 & ~ (all_0_140_140 = e10) & ( ~ (all_0_145_145 = e10) | all_0_146_146 = e11)
% 14.76/3.92 |
% 14.76/3.92 | Applying alpha-rule on (1515) yields:
% 14.76/3.92 | (1516) all_0_123_123 = e11
% 14.76/3.92 | (505) ~ (all_0_140_140 = e10)
% 14.76/3.92 | (1518) all_0_122_122 = e12
% 14.76/3.92 | (864) all_0_147_147 = e10
% 14.76/3.92 | (1520) ~ (all_0_145_145 = e10) | all_0_146_146 = e11
% 14.76/3.92 | (1521) all_0_121_121 = e13
% 14.76/3.92 |
% 14.76/3.92 | Combining equations (864,902) yields a new equation:
% 14.76/3.92 | (903) e12 = e10
% 14.76/3.92 |
% 14.76/3.92 | Equations (903) can reduce 133 to:
% 14.76/3.92 | (394) $false
% 14.76/3.92 |
% 14.76/3.92 |-The branch is then unsatisfiable
% 14.76/3.92 |-Branch two:
% 14.76/3.92 | (963) ~ (all_0_140_140 = e11)
% 14.76/3.92 | (1279) all_0_141_141 = e11 | all_0_142_142 = e11
% 14.76/3.92 |
% 14.76/3.92 +-Applying beta-rule and splitting (108), into two cases.
% 14.76/3.92 |-Branch one:
% 14.76/3.92 | (949) all_0_140_140 = e11
% 14.76/3.92 |
% 14.76/3.92 | Equations (949) can reduce 963 to:
% 14.76/3.92 | (394) $false
% 14.76/3.92 |
% 14.76/3.92 |-The branch is then unsatisfiable
% 14.76/3.92 |-Branch two:
% 14.76/3.92 | (963) ~ (all_0_140_140 = e11)
% 14.76/3.92 | (1275) all_0_144_144 = e11 | all_0_148_148 = e11
% 14.76/3.92 |
% 14.76/3.92 +-Applying beta-rule and splitting (1275), into two cases.
% 14.76/3.92 |-Branch one:
% 14.76/3.92 | (1504) all_0_144_144 = e11
% 14.76/3.92 |
% 14.76/3.92 | Equations (1504) can reduce 516 to:
% 14.76/3.92 | (394) $false
% 14.76/3.92 |
% 14.76/3.92 |-The branch is then unsatisfiable
% 14.76/3.92 |-Branch two:
% 14.76/3.92 | (516) ~ (all_0_144_144 = e11)
% 14.76/3.92 | (899) all_0_148_148 = e11
% 14.76/3.92 |
% 14.76/3.92 | Combining equations (968,899) yields a new equation:
% 14.76/3.92 | (970) e11 = e10
% 14.76/3.92 |
% 14.76/3.92 | Equations (970) can reduce 252 to:
% 14.76/3.92 | (394) $false
% 14.76/3.92 |
% 14.76/3.92 |-The branch is then unsatisfiable
% 14.76/3.92 |-Branch two:
% 14.76/3.92 | (940) ~ (all_0_139_139 = e13)
% 14.76/3.92 | (941) all_0_143_143 = e13
% 14.76/3.92 |
% 14.76/3.93 | Combining equations (874,941) yields a new equation:
% 14.76/3.93 | (880) e13 = e10
% 14.76/3.93 |
% 14.76/3.93 | Equations (880) can reduce 86 to:
% 14.76/3.93 | (394) $false
% 14.76/3.93 |
% 14.76/3.93 |-The branch is then unsatisfiable
% 14.76/3.93 |-Branch two:
% 14.76/3.93 | (866) ~ (all_0_143_143 = e10)
% 14.76/3.93 | (864) all_0_147_147 = e10
% 14.76/3.93 |
% 14.76/3.93 | Combining equations (864,902) yields a new equation:
% 14.76/3.93 | (903) e12 = e10
% 14.76/3.93 |
% 14.76/3.93 | Equations (903) can reduce 133 to:
% 14.76/3.93 | (394) $false
% 14.76/3.93 |
% 14.76/3.93 |-The branch is then unsatisfiable
% 14.76/3.93 |-Branch two:
% 14.76/3.93 | (868) ~ (all_0_148_148 = e10)
% 14.76/3.93 | (950) all_0_149_149 = e10
% 14.76/3.93 |
% 14.76/3.93 | Equations (950) can reduce 529 to:
% 14.76/3.93 | (394) $false
% 14.76/3.93 |
% 14.76/3.93 |-The branch is then unsatisfiable
% 14.76/3.93 |-Branch two:
% 14.76/3.93 | (739) ~ (all_0_128_128 = e23)
% 14.76/3.93 | (443) all_0_132_132 = e23
% 14.76/3.93 |
% 14.76/3.93 | Combining equations (437,443) yields a new equation:
% 14.76/3.93 | (589) e23 = e22
% 14.76/3.93 |
% 14.76/3.93 | Equations (589) can reduce 179 to:
% 14.76/3.93 | (394) $false
% 14.76/3.93 |
% 14.76/3.93 |-The branch is then unsatisfiable
% 14.76/3.93 |-Branch two:
% 14.76/3.93 | (562) ~ (all_0_126_126 = e22)
% 14.76/3.93 | (690) all_0_130_130 = e22 | all_0_134_134 = e22
% 14.76/3.93 |
% 14.76/3.93 +-Applying beta-rule and splitting (690), into two cases.
% 14.76/3.93 |-Branch one:
% 14.76/3.93 | (572) all_0_130_130 = e22
% 14.76/3.93 |
% 14.95/3.93 | Combining equations (587,572) yields a new equation:
% 14.95/3.93 | (588) e23 = e22
% 14.95/3.93 |
% 14.95/3.93 | Simplifying 588 yields:
% 14.95/3.93 | (589) e23 = e22
% 14.95/3.93 |
% 14.95/3.93 | Equations (589) can reduce 179 to:
% 14.95/3.93 | (394) $false
% 14.95/3.93 |
% 14.95/3.93 |-The branch is then unsatisfiable
% 14.95/3.93 |-Branch two:
% 14.95/3.93 | (676) ~ (all_0_130_130 = e22)
% 14.95/3.93 | (547) all_0_134_134 = e22
% 14.95/3.93 |
% 14.95/3.93 | Combining equations (404,547) yields a new equation:
% 14.95/3.93 | (548) e22 = e20
% 14.95/3.93 |
% 14.95/3.93 | Equations (548) can reduce 238 to:
% 14.95/3.93 | (394) $false
% 14.95/3.93 |
% 14.95/3.93 |-The branch is then unsatisfiable
% 14.95/3.93 |-Branch two:
% 14.95/3.93 | (464) ~ (all_0_127_127 = e21)
% 14.95/3.93 | (582) all_0_128_128 = e21 | all_0_129_129 = e21
% 14.95/3.93 |
% 14.95/3.93 +-Applying beta-rule and splitting (582), into two cases.
% 14.95/3.93 |-Branch one:
% 14.95/3.93 | (583) all_0_128_128 = e21
% 14.95/3.93 |
% 14.95/3.93 | Equations (583) can reduce 668 to:
% 14.95/3.93 | (394) $false
% 14.95/3.93 |
% 14.95/3.93 |-The branch is then unsatisfiable
% 14.95/3.93 |-Branch two:
% 14.95/3.93 | (668) ~ (all_0_128_128 = e21)
% 14.95/3.93 | (673) all_0_129_129 = e21
% 14.95/3.93 |
% 14.95/3.93 | Combining equations (386,673) yields a new equation:
% 14.95/3.93 | (637) e21 = e20
% 14.95/3.93 |
% 14.95/3.93 | Equations (637) can reduce 151 to:
% 14.95/3.93 | (394) $false
% 14.95/3.93 |
% 14.95/3.93 |-The branch is then unsatisfiable
% 14.95/3.93 |-Branch two:
% 14.95/3.93 | (556) ~ (all_0_135_135 = e22)
% 14.95/3.93 | (557) all_0_136_136 = e22
% 14.95/3.93 |
% 14.95/3.93 | Combining equations (557,723) yields a new equation:
% 14.95/3.93 | (553) e22 = e21
% 14.95/3.93 |
% 14.95/3.93 | Simplifying 553 yields:
% 14.95/3.93 | (554) e22 = e21
% 14.95/3.93 |
% 14.95/3.93 | Equations (554) can reduce 310 to:
% 14.95/3.93 | (394) $false
% 14.95/3.93 |
% 14.95/3.93 |-The branch is then unsatisfiable
% 14.95/3.93 |-Branch two:
% 14.95/3.93 | (1574) ~ (all_0_137_137 = e13)
% 14.95/3.93 | (1344) all_0_138_138 = e13
% 14.95/3.93 |
% 14.95/3.93 | Combining equations (525,1344) yields a new equation:
% 14.95/3.93 | (880) e13 = e10
% 14.95/3.93 |
% 14.95/3.93 | Equations (880) can reduce 86 to:
% 14.95/3.93 | (394) $false
% 14.95/3.93 |
% 14.95/3.93 |-The branch is then unsatisfiable
% 14.95/3.93 |-Branch two:
% 14.95/3.93 | (1578) ~ (all_0_138_138 = e10)
% 14.95/3.93 | (1344) all_0_138_138 = e13
% 14.95/3.93 |
% 14.95/3.93 | Equations (1344) can reduce 384 to:
% 14.95/3.93 | (1574) ~ (all_0_137_137 = e13)
% 14.95/3.93 |
% 14.95/3.93 | Equations (1344) can reduce 319 to:
% 14.95/3.93 | (1093) ~ (all_0_145_145 = e13)
% 14.95/3.93 |
% 14.95/3.93 | Simplifying 1093 yields:
% 14.95/3.93 | (1094) ~ (all_0_145_145 = e13)
% 14.95/3.93 |
% 14.95/3.93 | Equations (1344) can reduce 109 to:
% 14.95/3.93 | (1583) ~ (all_0_149_149 = e13)
% 14.95/3.93 |
% 14.95/3.93 | Simplifying 1583 yields:
% 14.95/3.93 | (298) ~ (all_0_149_149 = e13)
% 14.95/3.93 |
% 14.95/3.93 +-Applying beta-rule and splitting (162), into two cases.
% 14.95/3.93 |-Branch one:
% 14.95/3.93 | (878) all_0_137_137 = e10
% 14.95/3.93 |
% 14.95/3.93 | Equations (878) can reduce 363 to:
% 14.95/3.93 | (1586) ~ (all_0_140_140 = e10)
% 14.95/3.93 |
% 14.95/3.94 | Simplifying 1586 yields:
% 14.95/3.94 | (505) ~ (all_0_140_140 = e10)
% 14.95/3.94 |
% 14.95/3.94 | Equations (878) can reduce 368 to:
% 14.95/3.94 | (867) ~ (all_0_148_148 = e10)
% 14.95/3.94 |
% 14.95/3.94 | Simplifying 867 yields:
% 14.95/3.94 | (868) ~ (all_0_148_148 = e10)
% 14.95/3.94 |
% 14.95/3.94 +-Applying beta-rule and splitting (5), into two cases.
% 14.95/3.94 |-Branch one:
% 14.95/3.94 | (864) all_0_147_147 = e10
% 14.95/3.94 |
% 14.95/3.94 | Equations (864) can reduce 290 to:
% 14.95/3.94 | (867) ~ (all_0_148_148 = e10)
% 14.95/3.94 |
% 14.95/3.94 | Simplifying 867 yields:
% 14.95/3.94 | (868) ~ (all_0_148_148 = e10)
% 14.95/3.94 |
% 14.95/3.94 | Equations (864) can reduce 128 to:
% 14.95/3.94 | (528) ~ (all_0_149_149 = e10)
% 14.95/3.94 |
% 14.95/3.94 | Simplifying 528 yields:
% 14.95/3.94 | (529) ~ (all_0_149_149 = e10)
% 14.95/3.94 |
% 14.95/3.94 | Equations (864) can reduce 221 to:
% 14.95/3.94 | (508) ~ (e13 = e10)
% 14.95/3.94 |
% 14.95/3.94 | Simplifying 508 yields:
% 14.95/3.94 | (86) ~ (e13 = e10)
% 14.95/3.94 |
% 14.95/3.94 +-Applying beta-rule and splitting (154), into two cases.
% 14.95/3.94 |-Branch one:
% 14.95/3.94 | (920) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)) | (all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10)) | (all_0_141_141 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_140_140 = e11)) | (all_0_145_145 = e12 & all_0_148_148 = e10 & ~ (all_0_144_144 = e11))
% 14.95/3.94 |
% 14.95/3.94 +-Applying beta-rule and splitting (920), into two cases.
% 14.95/3.94 |-Branch one:
% 14.95/3.94 | (921) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)) | (all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10)) | (all_0_141_141 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_140_140 = e11))
% 14.95/3.94 |
% 14.95/3.94 +-Applying beta-rule and splitting (921), into two cases.
% 14.95/3.94 |-Branch one:
% 14.95/3.94 | (922) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)) | (all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10))
% 14.95/3.94 |
% 14.95/3.94 +-Applying beta-rule and splitting (922), into two cases.
% 14.95/3.94 |-Branch one:
% 14.95/3.94 | (923) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12))
% 14.95/3.94 |
% 14.95/3.94 +-Applying beta-rule and splitting (923), into two cases.
% 14.95/3.94 |-Branch one:
% 14.95/3.94 | (924) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10))
% 14.95/3.94 |
% 14.95/3.94 +-Applying beta-rule and splitting (924), into two cases.
% 14.95/3.94 |-Branch one:
% 14.95/3.94 | (925) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13))
% 14.95/3.94 |
% 14.95/3.94 +-Applying beta-rule and splitting (925), into two cases.
% 14.95/3.94 |-Branch one:
% 14.95/3.94 | (926) all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)
% 14.95/3.94 |
% 14.95/3.94 | Applying alpha-rule on (926) yields:
% 14.95/3.94 | (536) all_0_137_137 = e13
% 14.95/3.94 | (928) all_0_145_145 = e12
% 14.95/3.94 | (516) ~ (all_0_144_144 = e11)
% 14.95/3.94 |
% 14.95/3.94 | Combining equations (536,878) yields a new equation:
% 14.95/3.94 | (879) e13 = e10
% 14.95/3.94 |
% 14.95/3.94 | Simplifying 879 yields:
% 14.95/3.94 | (880) e13 = e10
% 14.95/3.94 |
% 14.95/3.94 | Equations (880) can reduce 86 to:
% 14.95/3.94 | (394) $false
% 14.95/3.94 |
% 14.95/3.94 |-The branch is then unsatisfiable
% 14.95/3.94 |-Branch two:
% 14.95/3.94 | (931) all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)
% 14.95/3.94 |
% 14.95/3.94 | Applying alpha-rule on (931) yields:
% 14.95/3.94 | (932) all_0_139_139 = e12
% 14.95/3.94 | (933) all_0_145_145 = e13
% 14.95/3.94 | (934) ~ (all_0_140_140 = e13)
% 14.95/3.94 |
% 14.95/3.94 | Equations (933) can reduce 1094 to:
% 14.95/3.94 | (394) $false
% 14.95/3.94 |
% 14.95/3.94 |-The branch is then unsatisfiable
% 14.95/3.94 |-Branch two:
% 14.95/3.94 | (943) all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)
% 14.95/3.94 |
% 14.95/3.94 | Applying alpha-rule on (943) yields:
% 14.95/3.94 | (932) all_0_139_139 = e12
% 14.95/3.94 | (934) ~ (all_0_140_140 = e13)
% 14.95/3.94 | (946) ~ (all_0_147_147 = e10)
% 14.95/3.94 |
% 14.95/3.94 | Equations (864) can reduce 946 to:
% 14.95/3.94 | (394) $false
% 14.95/3.94 |
% 14.95/3.94 |-The branch is then unsatisfiable
% 14.95/3.94 |-Branch two:
% 14.95/3.94 | (948) all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)
% 14.95/3.94 |
% 14.95/3.94 | Applying alpha-rule on (948) yields:
% 14.95/3.94 | (949) all_0_140_140 = e11
% 14.95/3.94 | (950) all_0_149_149 = e10
% 14.95/3.94 | (912) ~ (all_0_141_141 = e12)
% 14.95/3.94 |
% 14.95/3.94 | Equations (950) can reduce 529 to:
% 14.95/3.94 | (394) $false
% 14.95/3.94 |
% 14.95/3.94 |-The branch is then unsatisfiable
% 14.95/3.94 |-Branch two:
% 14.95/3.94 | (955) all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10)
% 14.95/3.94 |
% 14.95/3.94 | Applying alpha-rule on (955) yields:
% 14.95/3.94 | (884) all_0_140_140 = e10
% 14.95/3.94 | (514) all_0_146_146 = e11
% 14.95/3.94 | (891) ~ (all_0_145_145 = e10)
% 14.95/3.94 |
% 14.95/3.94 | Equations (884) can reduce 505 to:
% 14.95/3.94 | (394) $false
% 14.95/3.94 |
% 14.95/3.94 |-The branch is then unsatisfiable
% 14.95/3.94 |-Branch two:
% 14.95/3.94 | (960) all_0_141_141 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_140_140 = e11)
% 14.95/3.94 |
% 14.95/3.94 | Applying alpha-rule on (960) yields:
% 14.95/3.94 | (961) all_0_141_141 = e12
% 14.95/3.94 | (962) ~ (all_0_138_138 = e13)
% 15.01/3.94 | (963) ~ (all_0_140_140 = e11)
% 15.01/3.94 |
% 15.01/3.94 | Equations (1344) can reduce 962 to:
% 15.01/3.94 | (394) $false
% 15.01/3.94 |
% 15.01/3.94 |-The branch is then unsatisfiable
% 15.01/3.94 |-Branch two:
% 15.01/3.94 | (966) all_0_145_145 = e12 & all_0_148_148 = e10 & ~ (all_0_144_144 = e11)
% 15.01/3.94 |
% 15.01/3.94 | Applying alpha-rule on (966) yields:
% 15.01/3.95 | (928) all_0_145_145 = e12
% 15.01/3.95 | (968) all_0_148_148 = e10
% 15.01/3.95 | (516) ~ (all_0_144_144 = e11)
% 15.01/3.95 |
% 15.01/3.95 | Equations (968) can reduce 868 to:
% 15.01/3.95 | (394) $false
% 15.01/3.95 |
% 15.01/3.95 |-The branch is then unsatisfiable
% 15.01/3.95 |-Branch two:
% 15.01/3.95 | (972) all_0_149_149 = e10 & ~ (all_0_138_138 = e13)
% 15.01/3.95 |
% 15.01/3.95 | Applying alpha-rule on (972) yields:
% 15.01/3.95 | (950) all_0_149_149 = e10
% 15.01/3.95 | (962) ~ (all_0_138_138 = e13)
% 15.01/3.95 |
% 15.01/3.95 | Equations (950) can reduce 529 to:
% 15.01/3.95 | (394) $false
% 15.01/3.95 |
% 15.01/3.95 |-The branch is then unsatisfiable
% 15.01/3.95 |-Branch two:
% 15.01/3.95 | (946) ~ (all_0_147_147 = e10)
% 15.01/3.95 | (902) all_0_147_147 = e12
% 15.01/3.95 |
% 15.01/3.95 | Equations (902) can reduce 228 to:
% 15.01/3.95 | (1017) ~ (all_0_139_139 = e12)
% 15.01/3.95 |
% 15.01/3.95 | Equations (902) can reduce 290 to:
% 15.01/3.95 | (1297) ~ (all_0_148_148 = e12)
% 15.01/3.95 |
% 15.01/3.95 | Simplifying 1297 yields:
% 15.01/3.95 | (910) ~ (all_0_148_148 = e12)
% 15.01/3.95 |
% 15.01/3.95 | Equations (902) can reduce 128 to:
% 15.01/3.95 | (1649) ~ (all_0_149_149 = e12)
% 15.01/3.95 |
% 15.01/3.95 | Simplifying 1649 yields:
% 15.01/3.95 | (1650) ~ (all_0_149_149 = e12)
% 15.01/3.95 |
% 15.01/3.95 +-Applying beta-rule and splitting (335), into two cases.
% 15.01/3.95 |-Branch one:
% 15.01/3.95 | (968) all_0_148_148 = e10
% 15.01/3.95 |
% 15.01/3.95 | Equations (968) can reduce 868 to:
% 15.01/3.95 | (394) $false
% 15.01/3.95 |
% 15.01/3.95 |-The branch is then unsatisfiable
% 15.01/3.95 |-Branch two:
% 15.01/3.95 | (868) ~ (all_0_148_148 = e10)
% 15.01/3.95 | (1654) all_0_148_148 = e12 | all_0_148_148 = e11
% 15.01/3.95 |
% 15.01/3.95 +-Applying beta-rule and splitting (1654), into two cases.
% 15.01/3.95 |-Branch one:
% 15.01/3.95 | (907) all_0_148_148 = e12
% 15.01/3.95 |
% 15.01/3.95 | Equations (907) can reduce 910 to:
% 15.01/3.95 | (394) $false
% 15.01/3.95 |
% 15.01/3.95 |-The branch is then unsatisfiable
% 15.01/3.95 |-Branch two:
% 15.01/3.95 | (910) ~ (all_0_148_148 = e12)
% 15.01/3.95 | (899) all_0_148_148 = e11
% 15.01/3.95 |
% 15.01/3.95 | Equations (899) can reduce 32 to:
% 15.01/3.95 | (963) ~ (all_0_140_140 = e11)
% 15.01/3.95 |
% 15.01/3.95 | Equations (899) can reduce 79 to:
% 15.01/3.95 | (900) ~ (all_0_149_149 = e11)
% 15.01/3.95 |
% 15.01/3.95 | Simplifying 900 yields:
% 15.01/3.95 | (901) ~ (all_0_149_149 = e11)
% 15.01/3.95 |
% 15.01/3.95 | Equations (899) can reduce 910 to:
% 15.01/3.95 | (518) ~ (e12 = e11)
% 15.01/3.95 |
% 15.01/3.95 | Simplifying 518 yields:
% 15.01/3.95 | (65) ~ (e12 = e11)
% 15.01/3.95 |
% 15.01/3.95 +-Applying beta-rule and splitting (46), into two cases.
% 15.01/3.95 |-Branch one:
% 15.01/3.95 | (950) all_0_149_149 = e10
% 15.01/3.95 |
% 15.01/3.95 | Equations (950) can reduce 353 to:
% 15.01/3.95 | (527) ~ (all_0_141_141 = e10)
% 15.01/3.95 |
% 15.01/3.95 | Equations (950) can reduce 298 to:
% 15.01/3.95 | (508) ~ (e13 = e10)
% 15.01/3.95 |
% 15.01/3.95 | Simplifying 508 yields:
% 15.01/3.95 | (86) ~ (e13 = e10)
% 15.01/3.95 |
% 15.01/3.95 | Equations (950) can reduce 901 to:
% 15.01/3.95 | (532) ~ (e11 = e10)
% 15.01/3.95 |
% 15.01/3.95 | Simplifying 532 yields:
% 15.01/3.95 | (252) ~ (e11 = e10)
% 15.01/3.95 |
% 15.01/3.95 +-Applying beta-rule and splitting (349), into two cases.
% 15.01/3.95 |-Branch one:
% 15.01/3.95 | (949) all_0_140_140 = e11
% 15.01/3.95 |
% 15.01/3.95 | Equations (949) can reduce 963 to:
% 15.01/3.95 | (394) $false
% 15.01/3.95 |
% 15.01/3.95 |-The branch is then unsatisfiable
% 15.01/3.95 |-Branch two:
% 15.01/3.95 | (963) ~ (all_0_140_140 = e11)
% 15.01/3.95 | (1279) all_0_141_141 = e11 | all_0_142_142 = e11
% 15.01/3.95 |
% 15.01/3.95 +-Applying beta-rule and splitting (1279), into two cases.
% 15.01/3.95 |-Branch one:
% 15.01/3.95 | (916) all_0_141_141 = e11
% 15.01/3.95 |
% 15.01/3.95 | Equations (916) can reduce 262 to:
% 15.01/3.95 | (963) ~ (all_0_140_140 = e11)
% 15.01/3.95 |
% 15.01/3.95 | Equations (916) can reduce 527 to:
% 15.01/3.95 | (252) ~ (e11 = e10)
% 15.01/3.95 |
% 15.01/3.95 +-Applying beta-rule and splitting (249), into two cases.
% 15.01/3.95 |-Branch one:
% 15.01/3.95 | (932) all_0_139_139 = e12
% 15.01/3.95 |
% 15.01/3.95 | Equations (932) can reduce 1017 to:
% 15.01/3.95 | (394) $false
% 15.01/3.95 |
% 15.01/3.95 |-The branch is then unsatisfiable
% 15.01/3.95 |-Branch two:
% 15.01/3.95 | (1017) ~ (all_0_139_139 = e12)
% 15.01/3.95 | (1018) all_0_140_140 = e12 | all_0_141_141 = e12
% 15.01/3.95 |
% 15.01/3.95 +-Applying beta-rule and splitting (340), into two cases.
% 15.01/3.95 |-Branch one:
% 15.01/3.95 | (961) all_0_141_141 = e12
% 15.01/3.95 |
% 15.01/3.95 | Combining equations (916,961) yields a new equation:
% 15.01/3.95 | (908) e12 = e11
% 15.01/3.95 |
% 15.01/3.95 | Equations (908) can reduce 65 to:
% 15.01/3.95 | (394) $false
% 15.01/3.95 |
% 15.01/3.95 |-The branch is then unsatisfiable
% 15.01/3.95 |-Branch two:
% 15.01/3.95 | (912) ~ (all_0_141_141 = e12)
% 15.01/3.95 | (1449) all_0_145_145 = e12 | all_0_149_149 = e12
% 15.01/3.95 |
% 15.01/3.95 | Equations (916) can reduce 912 to:
% 15.01/3.95 | (518) ~ (e12 = e11)
% 15.01/3.95 |
% 15.01/3.95 | Simplifying 518 yields:
% 15.01/3.95 | (65) ~ (e12 = e11)
% 15.01/3.95 |
% 15.01/3.95 +-Applying beta-rule and splitting (154), into two cases.
% 15.01/3.95 |-Branch one:
% 15.01/3.95 | (920) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)) | (all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10)) | (all_0_141_141 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_140_140 = e11)) | (all_0_145_145 = e12 & all_0_148_148 = e10 & ~ (all_0_144_144 = e11))
% 15.01/3.95 |
% 15.01/3.95 +-Applying beta-rule and splitting (920), into two cases.
% 15.01/3.95 |-Branch one:
% 15.01/3.95 | (921) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)) | (all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10)) | (all_0_141_141 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_140_140 = e11))
% 15.01/3.96 |
% 15.01/3.96 +-Applying beta-rule and splitting (921), into two cases.
% 15.01/3.96 |-Branch one:
% 15.01/3.96 | (922) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)) | (all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10))
% 15.01/3.96 |
% 15.01/3.96 +-Applying beta-rule and splitting (922), into two cases.
% 15.01/3.96 |-Branch one:
% 15.01/3.96 | (923) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12))
% 15.01/3.96 |
% 15.01/3.96 +-Applying beta-rule and splitting (923), into two cases.
% 15.01/3.96 |-Branch one:
% 15.01/3.96 | (924) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10))
% 15.01/3.96 |
% 15.01/3.96 +-Applying beta-rule and splitting (924), into two cases.
% 15.01/3.96 |-Branch one:
% 15.01/3.96 | (925) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13))
% 15.01/3.96 |
% 15.01/3.96 +-Applying beta-rule and splitting (925), into two cases.
% 15.01/3.96 |-Branch one:
% 15.01/3.96 | (926) all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)
% 15.01/3.96 |
% 15.01/3.96 | Applying alpha-rule on (926) yields:
% 15.01/3.96 | (536) all_0_137_137 = e13
% 15.01/3.96 | (928) all_0_145_145 = e12
% 15.01/3.96 | (516) ~ (all_0_144_144 = e11)
% 15.01/3.96 |
% 15.01/3.96 | Combining equations (536,878) yields a new equation:
% 15.01/3.96 | (879) e13 = e10
% 15.01/3.96 |
% 15.01/3.96 | Simplifying 879 yields:
% 15.01/3.96 | (880) e13 = e10
% 15.01/3.96 |
% 15.01/3.96 | Equations (880) can reduce 86 to:
% 15.01/3.96 | (394) $false
% 15.01/3.96 |
% 15.01/3.96 |-The branch is then unsatisfiable
% 15.01/3.96 |-Branch two:
% 15.01/3.96 | (931) all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)
% 15.01/3.96 |
% 15.01/3.96 | Applying alpha-rule on (931) yields:
% 15.01/3.96 | (932) all_0_139_139 = e12
% 15.01/3.96 | (933) all_0_145_145 = e13
% 15.01/3.96 | (934) ~ (all_0_140_140 = e13)
% 15.01/3.96 |
% 15.01/3.96 | Equations (933) can reduce 1094 to:
% 15.01/3.96 | (394) $false
% 15.01/3.96 |
% 15.01/3.96 |-The branch is then unsatisfiable
% 15.01/3.96 |-Branch two:
% 15.01/3.96 | (943) all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)
% 15.01/3.96 |
% 15.01/3.96 | Applying alpha-rule on (943) yields:
% 15.01/3.96 | (932) all_0_139_139 = e12
% 15.01/3.96 | (934) ~ (all_0_140_140 = e13)
% 15.01/3.96 | (946) ~ (all_0_147_147 = e10)
% 15.01/3.96 |
% 15.01/3.96 | Equations (932) can reduce 1017 to:
% 15.01/3.96 | (394) $false
% 15.01/3.96 |
% 15.01/3.96 |-The branch is then unsatisfiable
% 15.01/3.96 |-Branch two:
% 15.01/3.96 | (948) all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)
% 15.01/3.96 |
% 15.01/3.96 | Applying alpha-rule on (948) yields:
% 15.01/3.96 | (949) all_0_140_140 = e11
% 15.01/3.96 | (950) all_0_149_149 = e10
% 15.01/3.96 | (912) ~ (all_0_141_141 = e12)
% 15.01/3.96 |
% 15.01/3.96 | Equations (949) can reduce 963 to:
% 15.01/3.96 | (394) $false
% 15.01/3.96 |
% 15.01/3.96 |-The branch is then unsatisfiable
% 15.01/3.96 |-Branch two:
% 15.01/3.96 | (955) all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10)
% 15.01/3.96 |
% 15.01/3.96 | Applying alpha-rule on (955) yields:
% 15.01/3.96 | (884) all_0_140_140 = e10
% 15.01/3.96 | (514) all_0_146_146 = e11
% 15.01/3.96 | (891) ~ (all_0_145_145 = e10)
% 15.01/3.96 |
% 15.01/3.96 | Equations (884) can reduce 505 to:
% 15.01/3.96 | (394) $false
% 15.01/3.96 |
% 15.01/3.96 |-The branch is then unsatisfiable
% 15.01/3.96 |-Branch two:
% 15.01/3.96 | (960) all_0_141_141 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_140_140 = e11)
% 15.01/3.96 |
% 15.01/3.96 | Applying alpha-rule on (960) yields:
% 15.01/3.96 | (961) all_0_141_141 = e12
% 15.01/3.96 | (962) ~ (all_0_138_138 = e13)
% 15.01/3.96 | (963) ~ (all_0_140_140 = e11)
% 15.01/3.96 |
% 15.01/3.96 | Combining equations (916,961) yields a new equation:
% 15.01/3.96 | (908) e12 = e11
% 15.01/3.96 |
% 15.01/3.96 | Equations (908) can reduce 65 to:
% 15.01/3.96 | (394) $false
% 15.01/3.96 |
% 15.01/3.96 |-The branch is then unsatisfiable
% 15.01/3.96 |-Branch two:
% 15.01/3.96 | (966) all_0_145_145 = e12 & all_0_148_148 = e10 & ~ (all_0_144_144 = e11)
% 15.01/3.96 |
% 15.01/3.96 | Applying alpha-rule on (966) yields:
% 15.01/3.96 | (928) all_0_145_145 = e12
% 15.01/3.96 | (968) all_0_148_148 = e10
% 15.01/3.96 | (516) ~ (all_0_144_144 = e11)
% 15.01/3.96 |
% 15.01/3.96 | Combining equations (968,899) yields a new equation:
% 15.01/3.96 | (970) e11 = e10
% 15.01/3.96 |
% 15.01/3.96 | Equations (970) can reduce 252 to:
% 15.01/3.96 | (394) $false
% 15.01/3.96 |
% 15.01/3.96 |-The branch is then unsatisfiable
% 15.01/3.96 |-Branch two:
% 15.01/3.96 | (972) all_0_149_149 = e10 & ~ (all_0_138_138 = e13)
% 15.01/3.96 |
% 15.01/3.96 | Applying alpha-rule on (972) yields:
% 15.01/3.96 | (950) all_0_149_149 = e10
% 15.01/3.96 | (962) ~ (all_0_138_138 = e13)
% 15.01/3.96 |
% 15.01/3.96 | Equations (1344) can reduce 962 to:
% 15.01/3.96 | (394) $false
% 15.01/3.96 |
% 15.01/3.96 |-The branch is then unsatisfiable
% 15.01/3.96 |-Branch two:
% 15.01/3.96 | (978) ~ (all_0_141_141 = e11)
% 15.01/3.96 | (1283) all_0_142_142 = e11
% 15.01/3.96 |
% 15.01/3.96 | Combining equations (503,1283) yields a new equation:
% 15.01/3.96 | (970) e11 = e10
% 15.01/3.96 |
% 15.01/3.97 | Equations (970) can reduce 252 to:
% 15.01/3.97 | (394) $false
% 15.01/3.97 |
% 15.01/3.97 |-The branch is then unsatisfiable
% 15.01/3.97 |-Branch two:
% 15.01/3.97 | (529) ~ (all_0_149_149 = e10)
% 15.01/3.97 | (1303) all_0_149_149 = e12 | all_0_149_149 = e11
% 15.01/3.97 |
% 15.01/3.97 +-Applying beta-rule and splitting (1303), into two cases.
% 15.01/3.97 |-Branch one:
% 15.01/3.97 | (911) all_0_149_149 = e12
% 15.01/3.97 |
% 15.01/3.97 | Equations (911) can reduce 1650 to:
% 15.01/3.97 | (394) $false
% 15.01/3.97 |
% 15.01/3.97 |-The branch is then unsatisfiable
% 15.01/3.97 |-Branch two:
% 15.01/3.97 | (1650) ~ (all_0_149_149 = e12)
% 15.01/3.97 | (983) all_0_149_149 = e11
% 15.01/3.97 |
% 15.01/3.97 | Equations (983) can reduce 901 to:
% 15.01/3.97 | (394) $false
% 15.01/3.97 |
% 15.01/3.97 |-The branch is then unsatisfiable
% 15.01/3.97 |-Branch two:
% 15.01/3.97 | (882) ~ (all_0_137_137 = e10)
% 15.01/3.97 | (536) all_0_137_137 = e13
% 15.01/3.97 |
% 15.01/3.97 | Equations (536) can reduce 1574 to:
% 15.01/3.97 | (394) $false
% 15.01/3.97 |
% 15.01/3.97 |-The branch is then unsatisfiable
% 15.01/3.97 |-Branch two:
% 15.01/3.97 | (1751) ~ (all_0_142_142 = e10)
% 15.01/3.97 | (1283) all_0_142_142 = e11
% 15.01/3.97 |
% 15.01/3.97 | Equations (1283) can reduce 174 to:
% 15.01/3.97 | (978) ~ (all_0_141_141 = e11)
% 15.01/3.97 |
% 15.01/3.97 | Equations (1283) can reduce 1751 to:
% 15.01/3.97 | (252) ~ (e11 = e10)
% 15.01/3.97 |
% 15.01/3.97 | From (1283) and (379) follows:
% 15.01/3.97 | (1755) op1(e12, e11) = all_0_116_116
% 15.01/3.97 |
% 15.01/3.97 +-Applying beta-rule and splitting (100), into two cases.
% 15.01/3.97 |-Branch one:
% 15.01/3.97 | (503) all_0_142_142 = e10
% 15.01/3.97 |
% 15.01/3.97 | Combining equations (503,1283) yields a new equation:
% 15.01/3.97 | (970) e11 = e10
% 15.01/3.97 |
% 15.01/3.97 | Equations (970) can reduce 252 to:
% 15.01/3.97 | (394) $false
% 15.01/3.97 |
% 15.01/3.97 |-The branch is then unsatisfiable
% 15.01/3.97 |-Branch two:
% 15.01/3.97 | (1751) ~ (all_0_142_142 = e10)
% 15.01/3.97 | (511) all_0_146_146 = e10
% 15.01/3.97 |
% 15.01/3.97 | Equations (511) can reduce 272 to:
% 15.01/3.97 | (866) ~ (all_0_143_143 = e10)
% 15.01/3.97 |
% 15.01/3.97 | Equations (511) can reduce 192 to:
% 15.01/3.97 | (891) ~ (all_0_145_145 = e10)
% 15.01/3.97 |
% 15.01/3.97 | Instantiating formula (351) with e12, e11, all_0_116_116, all_0_141_141 and discharging atoms op1(e12, e11) = all_0_116_116, op1(e12, e11) = all_0_141_141, yields:
% 15.01/3.97 | (1763) all_0_116_116 = all_0_141_141
% 15.01/3.97 |
% 15.01/3.97 +-Applying beta-rule and splitting (5), into two cases.
% 15.01/3.97 |-Branch one:
% 15.01/3.97 | (864) all_0_147_147 = e10
% 15.01/3.97 |
% 15.01/3.97 | Equations (864) can reduce 228 to:
% 15.01/3.97 | (504) ~ (all_0_139_139 = e10)
% 15.01/3.97 |
% 15.01/3.97 | Equations (864) can reduce 221 to:
% 15.01/3.97 | (508) ~ (e13 = e10)
% 15.01/3.97 |
% 15.01/3.97 | Simplifying 508 yields:
% 15.01/3.97 | (86) ~ (e13 = e10)
% 15.01/3.97 |
% 15.01/3.97 +-Applying beta-rule and splitting (116), into two cases.
% 15.01/3.97 |-Branch one:
% 15.01/3.97 | (525) all_0_138_138 = e10
% 15.01/3.97 |
% 15.01/3.97 | Equations (525) can reduce 12 to:
% 15.01/3.97 | (526) ~ (all_0_141_141 = e10)
% 15.01/3.97 |
% 15.01/3.97 | Simplifying 526 yields:
% 15.01/3.97 | (527) ~ (all_0_141_141 = e10)
% 15.01/3.97 |
% 15.01/3.97 | Equations (525) can reduce 237 to:
% 15.01/3.97 | (532) ~ (e11 = e10)
% 15.01/3.97 |
% 15.01/3.97 | Simplifying 532 yields:
% 15.01/3.97 | (252) ~ (e11 = e10)
% 15.01/3.97 |
% 15.01/3.97 +-Applying beta-rule and splitting (17), into two cases.
% 15.01/3.97 |-Branch one:
% 15.01/3.97 | (536) all_0_137_137 = e13
% 15.01/3.97 |
% 15.01/3.97 | Equations (536) can reduce 363 to:
% 15.01/3.97 | (1774) ~ (all_0_140_140 = e13)
% 15.01/3.97 |
% 15.01/3.97 | Simplifying 1774 yields:
% 15.01/3.97 | (934) ~ (all_0_140_140 = e13)
% 15.01/3.97 |
% 15.01/3.97 +-Applying beta-rule and splitting (355), into two cases.
% 15.01/3.97 |-Branch one:
% 15.01/3.97 | (1097) all_0_139_139 = e10
% 15.01/3.97 |
% 15.01/3.97 | Equations (1097) can reduce 504 to:
% 15.01/3.97 | (394) $false
% 15.01/3.97 |
% 15.01/3.97 |-The branch is then unsatisfiable
% 15.01/3.97 |-Branch two:
% 15.01/3.97 | (504) ~ (all_0_139_139 = e10)
% 15.01/3.97 | (1779) all_0_140_140 = e10 | all_0_141_141 = e10 | all_0_142_142 = e10
% 15.01/3.97 |
% 15.01/3.97 +-Applying beta-rule and splitting (1779), into two cases.
% 15.01/3.97 |-Branch one:
% 15.01/3.97 | (884) all_0_140_140 = e10
% 15.01/3.97 |
% 15.01/3.97 | Equations (884) can reduce 262 to:
% 15.01/3.97 | (526) ~ (all_0_141_141 = e10)
% 15.01/3.97 |
% 15.01/3.97 | Simplifying 526 yields:
% 15.01/3.97 | (527) ~ (all_0_141_141 = e10)
% 15.01/3.97 |
% 15.01/3.97 | Equations (884) can reduce 934 to:
% 15.01/3.97 | (508) ~ (e13 = e10)
% 15.01/3.97 |
% 15.01/3.97 | Simplifying 508 yields:
% 15.01/3.97 | (86) ~ (e13 = e10)
% 15.01/3.97 |
% 15.01/3.97 +-Applying beta-rule and splitting (246), into two cases.
% 15.01/3.97 |-Branch one:
% 15.01/3.97 | (1367) (all_0_111_111 = e12 & all_0_112_112 = e11 & all_0_137_137 = e10 & all_0_138_138 = e13 & all_0_147_147 = e10 & ~ (all_0_145_145 = e13) & ( ~ (all_0_140_140 = e13) | all_0_139_139 = e12)) | (all_0_113_113 = e13 & all_0_114_114 = e12 & all_0_115_115 = e11 & all_0_116_116 = e10 & ( ~ (all_0_145_145 = e12) | all_0_144_144 = e11)) | (all_0_117_117 = e13 & all_0_118_118 = e12 & all_0_119_119 = e11 & all_0_120_120 = e10 & all_0_138_138 = e13 & ( ~ (all_0_140_140 = e11) | all_0_141_141 = e12))
% 15.01/3.97 |
% 15.01/3.97 +-Applying beta-rule and splitting (1367), into two cases.
% 15.01/3.97 |-Branch one:
% 15.01/3.97 | (1368) (all_0_111_111 = e12 & all_0_112_112 = e11 & all_0_137_137 = e10 & all_0_138_138 = e13 & all_0_147_147 = e10 & ~ (all_0_145_145 = e13) & ( ~ (all_0_140_140 = e13) | all_0_139_139 = e12)) | (all_0_113_113 = e13 & all_0_114_114 = e12 & all_0_115_115 = e11 & all_0_116_116 = e10 & ( ~ (all_0_145_145 = e12) | all_0_144_144 = e11))
% 15.01/3.97 |
% 15.01/3.97 +-Applying beta-rule and splitting (1368), into two cases.
% 15.01/3.97 |-Branch one:
% 15.01/3.98 | (1369) all_0_111_111 = e12 & all_0_112_112 = e11 & all_0_137_137 = e10 & all_0_138_138 = e13 & all_0_147_147 = e10 & ~ (all_0_145_145 = e13) & ( ~ (all_0_140_140 = e13) | all_0_139_139 = e12)
% 15.01/3.98 |
% 15.01/3.98 | Applying alpha-rule on (1369) yields:
% 15.01/3.98 | (1370) all_0_111_111 = e12
% 15.01/3.98 | (864) all_0_147_147 = e10
% 15.01/3.98 | (1372) ~ (all_0_140_140 = e13) | all_0_139_139 = e12
% 15.01/3.98 | (1094) ~ (all_0_145_145 = e13)
% 15.01/3.98 | (1344) all_0_138_138 = e13
% 15.01/3.98 | (1375) all_0_112_112 = e11
% 15.01/3.98 | (878) all_0_137_137 = e10
% 15.01/3.98 |
% 15.01/3.98 | Combining equations (1344,525) yields a new equation:
% 15.01/3.98 | (879) e13 = e10
% 15.01/3.98 |
% 15.01/3.98 | Simplifying 879 yields:
% 15.01/3.98 | (880) e13 = e10
% 15.01/3.98 |
% 15.01/3.98 | Equations (880) can reduce 86 to:
% 15.01/3.98 | (394) $false
% 15.01/3.98 |
% 15.01/3.98 |-The branch is then unsatisfiable
% 15.01/3.98 |-Branch two:
% 15.01/3.98 | (1383) all_0_113_113 = e13 & all_0_114_114 = e12 & all_0_115_115 = e11 & all_0_116_116 = e10 & ( ~ (all_0_145_145 = e12) | all_0_144_144 = e11)
% 15.01/3.98 |
% 15.01/3.98 | Applying alpha-rule on (1383) yields:
% 15.01/3.98 | (1384) all_0_114_114 = e12
% 15.01/3.98 | (1385) all_0_115_115 = e11
% 15.01/3.98 | (1386) ~ (all_0_145_145 = e12) | all_0_144_144 = e11
% 15.01/3.98 | (1387) all_0_116_116 = e10
% 15.01/3.98 | (1388) all_0_113_113 = e13
% 15.01/3.98 |
% 15.01/3.98 | Combining equations (1763,1387) yields a new equation:
% 15.01/3.98 | (1804) all_0_141_141 = e10
% 15.01/3.98 |
% 15.01/3.98 | Simplifying 1804 yields:
% 15.01/3.98 | (1805) all_0_141_141 = e10
% 15.01/3.98 |
% 15.01/3.98 | Equations (1805) can reduce 527 to:
% 15.01/3.98 | (394) $false
% 15.01/3.98 |
% 15.01/3.98 |-The branch is then unsatisfiable
% 15.01/3.98 |-Branch two:
% 15.01/3.98 | (1506) all_0_117_117 = e13 & all_0_118_118 = e12 & all_0_119_119 = e11 & all_0_120_120 = e10 & all_0_138_138 = e13 & ( ~ (all_0_140_140 = e11) | all_0_141_141 = e12)
% 15.01/3.98 |
% 15.01/3.98 | Applying alpha-rule on (1506) yields:
% 15.01/3.98 | (1507) ~ (all_0_140_140 = e11) | all_0_141_141 = e12
% 15.01/3.98 | (1508) all_0_118_118 = e12
% 15.01/3.98 | (1344) all_0_138_138 = e13
% 15.01/3.98 | (1510) all_0_120_120 = e10
% 15.01/3.98 | (1511) all_0_117_117 = e13
% 15.01/3.98 | (1512) all_0_119_119 = e11
% 15.01/3.98 |
% 15.01/3.98 | Combining equations (1344,525) yields a new equation:
% 15.01/3.98 | (879) e13 = e10
% 15.01/3.98 |
% 15.01/3.98 | Simplifying 879 yields:
% 15.01/3.98 | (880) e13 = e10
% 15.01/3.98 |
% 15.01/3.98 | Equations (880) can reduce 86 to:
% 15.01/3.98 | (394) $false
% 15.01/3.98 |
% 15.01/3.98 |-The branch is then unsatisfiable
% 15.01/3.98 |-Branch two:
% 15.01/3.98 | (1515) all_0_121_121 = e13 & all_0_122_122 = e12 & all_0_123_123 = e11 & all_0_147_147 = e10 & ~ (all_0_140_140 = e10) & ( ~ (all_0_145_145 = e10) | all_0_146_146 = e11)
% 15.01/3.98 |
% 15.01/3.98 | Applying alpha-rule on (1515) yields:
% 15.01/3.98 | (1516) all_0_123_123 = e11
% 15.01/3.98 | (505) ~ (all_0_140_140 = e10)
% 15.01/3.98 | (1518) all_0_122_122 = e12
% 15.01/3.98 | (864) all_0_147_147 = e10
% 15.01/3.98 | (1520) ~ (all_0_145_145 = e10) | all_0_146_146 = e11
% 15.01/3.98 | (1521) all_0_121_121 = e13
% 15.01/3.98 |
% 15.01/3.98 | Equations (884) can reduce 505 to:
% 15.01/3.98 | (394) $false
% 15.01/3.98 |
% 15.01/3.98 |-The branch is then unsatisfiable
% 15.01/3.98 |-Branch two:
% 15.01/3.98 | (505) ~ (all_0_140_140 = e10)
% 15.01/3.98 | (1826) all_0_141_141 = e10 | all_0_142_142 = e10
% 15.01/3.98 |
% 15.01/3.98 +-Applying beta-rule and splitting (1826), into two cases.
% 15.01/3.98 |-Branch one:
% 15.01/3.98 | (1805) all_0_141_141 = e10
% 15.01/3.98 |
% 15.01/3.98 | Equations (1805) can reduce 527 to:
% 15.01/3.98 | (394) $false
% 15.01/3.98 |
% 15.01/3.98 |-The branch is then unsatisfiable
% 15.01/3.98 |-Branch two:
% 15.01/3.98 | (527) ~ (all_0_141_141 = e10)
% 15.01/3.98 | (503) all_0_142_142 = e10
% 15.01/3.98 |
% 15.01/3.98 | Combining equations (1283,503) yields a new equation:
% 15.01/3.98 | (1064) e11 = e10
% 15.01/3.98 |
% 15.01/3.98 | Simplifying 1064 yields:
% 15.01/3.98 | (970) e11 = e10
% 15.01/3.98 |
% 15.01/3.98 | Equations (970) can reduce 252 to:
% 15.01/3.98 | (394) $false
% 15.01/3.98 |
% 15.01/3.98 |-The branch is then unsatisfiable
% 15.01/3.98 |-Branch two:
% 15.01/3.98 | (1574) ~ (all_0_137_137 = e13)
% 15.01/3.98 | (1344) all_0_138_138 = e13
% 15.01/3.98 |
% 15.01/3.98 | Combining equations (525,1344) yields a new equation:
% 15.01/3.98 | (880) e13 = e10
% 15.01/3.98 |
% 15.01/3.98 | Equations (880) can reduce 86 to:
% 15.01/3.98 | (394) $false
% 15.01/3.98 |
% 15.01/3.98 |-The branch is then unsatisfiable
% 15.01/3.98 |-Branch two:
% 15.01/3.98 | (1578) ~ (all_0_138_138 = e10)
% 15.01/3.98 | (1344) all_0_138_138 = e13
% 15.01/3.98 |
% 15.01/3.99 | Equations (1344) can reduce 384 to:
% 15.01/3.99 | (1574) ~ (all_0_137_137 = e13)
% 15.01/3.99 |
% 15.01/3.99 | Equations (1344) can reduce 12 to:
% 15.01/3.99 | (1336) ~ (all_0_141_141 = e13)
% 15.01/3.99 |
% 15.01/3.99 | Simplifying 1336 yields:
% 15.01/3.99 | (1337) ~ (all_0_141_141 = e13)
% 15.01/3.99 |
% 15.01/3.99 | Equations (1344) can reduce 319 to:
% 15.01/3.99 | (1093) ~ (all_0_145_145 = e13)
% 15.01/3.99 |
% 15.01/3.99 | Simplifying 1093 yields:
% 15.01/3.99 | (1094) ~ (all_0_145_145 = e13)
% 15.01/3.99 |
% 15.01/3.99 +-Applying beta-rule and splitting (162), into two cases.
% 15.01/3.99 |-Branch one:
% 15.01/3.99 | (878) all_0_137_137 = e10
% 15.01/3.99 |
% 15.01/3.99 | Equations (878) can reduce 363 to:
% 15.01/3.99 | (1586) ~ (all_0_140_140 = e10)
% 15.01/3.99 |
% 15.01/3.99 | Simplifying 1586 yields:
% 15.01/3.99 | (505) ~ (all_0_140_140 = e10)
% 15.01/3.99 |
% 15.01/3.99 | Equations (878) can reduce 368 to:
% 15.01/3.99 | (867) ~ (all_0_148_148 = e10)
% 15.01/3.99 |
% 15.01/3.99 | Simplifying 867 yields:
% 15.01/3.99 | (868) ~ (all_0_148_148 = e10)
% 15.01/3.99 |
% 15.01/3.99 | Equations (878) can reduce 216 to:
% 15.01/3.99 | (530) ~ (e12 = e10)
% 15.01/3.99 |
% 15.01/3.99 | Simplifying 530 yields:
% 15.01/3.99 | (133) ~ (e12 = e10)
% 15.01/3.99 |
% 15.01/3.99 | Equations (878) can reduce 150 to:
% 15.01/3.99 | (532) ~ (e11 = e10)
% 15.01/3.99 |
% 15.01/3.99 | Simplifying 532 yields:
% 15.01/3.99 | (252) ~ (e11 = e10)
% 15.01/3.99 |
% 15.01/3.99 +-Applying beta-rule and splitting (355), into two cases.
% 15.01/3.99 |-Branch one:
% 15.01/3.99 | (1097) all_0_139_139 = e10
% 15.01/3.99 |
% 15.01/3.99 | Equations (1097) can reduce 504 to:
% 15.01/3.99 | (394) $false
% 15.01/3.99 |
% 15.01/3.99 |-The branch is then unsatisfiable
% 15.01/3.99 |-Branch two:
% 15.01/3.99 | (504) ~ (all_0_139_139 = e10)
% 15.01/3.99 | (1779) all_0_140_140 = e10 | all_0_141_141 = e10 | all_0_142_142 = e10
% 15.01/3.99 |
% 15.01/3.99 +-Applying beta-rule and splitting (1779), into two cases.
% 15.01/3.99 |-Branch one:
% 15.01/3.99 | (884) all_0_140_140 = e10
% 15.01/3.99 |
% 15.01/3.99 | Equations (884) can reduce 505 to:
% 15.01/3.99 | (394) $false
% 15.01/3.99 |
% 15.01/3.99 |-The branch is then unsatisfiable
% 15.01/3.99 |-Branch two:
% 15.01/3.99 | (505) ~ (all_0_140_140 = e10)
% 15.01/3.99 | (1826) all_0_141_141 = e10 | all_0_142_142 = e10
% 15.01/3.99 |
% 15.01/3.99 +-Applying beta-rule and splitting (1826), into two cases.
% 15.01/3.99 |-Branch one:
% 15.01/3.99 | (1805) all_0_141_141 = e10
% 15.01/3.99 |
% 15.01/3.99 | Equations (1805) can reduce 353 to:
% 15.01/3.99 | (528) ~ (all_0_149_149 = e10)
% 15.01/3.99 |
% 15.01/3.99 | Simplifying 528 yields:
% 15.01/3.99 | (529) ~ (all_0_149_149 = e10)
% 15.01/3.99 |
% 15.01/3.99 | Equations (1805) can reduce 1337 to:
% 15.01/3.99 | (508) ~ (e13 = e10)
% 15.01/3.99 |
% 15.01/3.99 | Simplifying 508 yields:
% 15.01/3.99 | (86) ~ (e13 = e10)
% 15.01/3.99 |
% 15.01/3.99 | Equations (1805) can reduce 978 to:
% 15.01/3.99 | (532) ~ (e11 = e10)
% 15.01/3.99 |
% 15.01/3.99 | Simplifying 532 yields:
% 15.01/3.99 | (252) ~ (e11 = e10)
% 15.01/3.99 |
% 15.01/3.99 +-Applying beta-rule and splitting (154), into two cases.
% 15.01/3.99 |-Branch one:
% 15.01/3.99 | (920) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)) | (all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10)) | (all_0_141_141 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_140_140 = e11)) | (all_0_145_145 = e12 & all_0_148_148 = e10 & ~ (all_0_144_144 = e11))
% 15.01/3.99 |
% 15.01/3.99 +-Applying beta-rule and splitting (920), into two cases.
% 15.01/3.99 |-Branch one:
% 15.01/3.99 | (921) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)) | (all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10)) | (all_0_141_141 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_140_140 = e11))
% 15.01/3.99 |
% 15.01/3.99 +-Applying beta-rule and splitting (921), into two cases.
% 15.01/3.99 |-Branch one:
% 15.01/3.99 | (922) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)) | (all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10))
% 15.01/3.99 |
% 15.01/3.99 +-Applying beta-rule and splitting (922), into two cases.
% 15.01/3.99 |-Branch one:
% 15.01/3.99 | (923) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12))
% 15.01/3.99 |
% 15.01/3.99 +-Applying beta-rule and splitting (923), into two cases.
% 15.01/3.99 |-Branch one:
% 15.01/3.99 | (924) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10))
% 15.01/3.99 |
% 15.01/3.99 +-Applying beta-rule and splitting (924), into two cases.
% 15.01/3.99 |-Branch one:
% 15.01/3.99 | (925) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13))
% 15.01/3.99 |
% 15.01/3.99 +-Applying beta-rule and splitting (925), into two cases.
% 15.01/3.99 |-Branch one:
% 15.01/3.99 | (926) all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)
% 15.01/3.99 |
% 15.01/3.99 | Applying alpha-rule on (926) yields:
% 15.01/3.99 | (536) all_0_137_137 = e13
% 15.01/3.99 | (928) all_0_145_145 = e12
% 15.01/3.99 | (516) ~ (all_0_144_144 = e11)
% 15.01/3.99 |
% 15.01/3.99 | Combining equations (878,536) yields a new equation:
% 15.01/3.99 | (880) e13 = e10
% 15.01/3.99 |
% 15.01/3.99 | Equations (880) can reduce 86 to:
% 15.01/3.99 | (394) $false
% 15.01/3.99 |
% 15.01/3.99 |-The branch is then unsatisfiable
% 15.01/3.99 |-Branch two:
% 15.01/3.99 | (931) all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)
% 15.01/3.99 |
% 15.01/3.99 | Applying alpha-rule on (931) yields:
% 15.01/3.99 | (932) all_0_139_139 = e12
% 15.01/3.99 | (933) all_0_145_145 = e13
% 15.01/3.99 | (934) ~ (all_0_140_140 = e13)
% 15.01/3.99 |
% 15.01/3.99 | Equations (933) can reduce 1094 to:
% 15.01/3.99 | (394) $false
% 15.01/3.99 |
% 15.01/3.99 |-The branch is then unsatisfiable
% 15.01/3.99 |-Branch two:
% 15.01/3.99 | (943) all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)
% 15.01/3.99 |
% 15.01/3.99 | Applying alpha-rule on (943) yields:
% 15.01/3.99 | (932) all_0_139_139 = e12
% 15.01/3.99 | (934) ~ (all_0_140_140 = e13)
% 15.01/3.99 | (946) ~ (all_0_147_147 = e10)
% 15.01/3.99 |
% 15.01/3.99 | Equations (864) can reduce 946 to:
% 15.01/3.99 | (394) $false
% 15.01/3.99 |
% 15.01/3.99 |-The branch is then unsatisfiable
% 15.01/3.99 |-Branch two:
% 15.01/3.99 | (948) all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)
% 15.01/3.99 |
% 15.01/3.99 | Applying alpha-rule on (948) yields:
% 15.01/3.99 | (949) all_0_140_140 = e11
% 15.01/3.99 | (950) all_0_149_149 = e10
% 15.01/3.99 | (912) ~ (all_0_141_141 = e12)
% 15.01/3.99 |
% 15.01/3.99 | Equations (950) can reduce 529 to:
% 15.01/4.00 | (394) $false
% 15.01/4.00 |
% 15.01/4.00 |-The branch is then unsatisfiable
% 15.01/4.00 |-Branch two:
% 15.01/4.00 | (955) all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10)
% 15.01/4.00 |
% 15.01/4.00 | Applying alpha-rule on (955) yields:
% 15.01/4.00 | (884) all_0_140_140 = e10
% 15.01/4.00 | (514) all_0_146_146 = e11
% 15.01/4.00 | (891) ~ (all_0_145_145 = e10)
% 15.01/4.00 |
% 15.01/4.00 | Combining equations (514,511) yields a new equation:
% 15.01/4.00 | (1064) e11 = e10
% 15.01/4.00 |
% 15.01/4.00 | Simplifying 1064 yields:
% 15.01/4.00 | (970) e11 = e10
% 15.01/4.00 |
% 15.01/4.00 | Equations (970) can reduce 252 to:
% 15.01/4.00 | (394) $false
% 15.01/4.00 |
% 15.01/4.00 |-The branch is then unsatisfiable
% 15.01/4.00 |-Branch two:
% 15.01/4.00 | (960) all_0_141_141 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_140_140 = e11)
% 15.01/4.00 |
% 15.01/4.00 | Applying alpha-rule on (960) yields:
% 15.01/4.00 | (961) all_0_141_141 = e12
% 15.01/4.00 | (962) ~ (all_0_138_138 = e13)
% 15.01/4.00 | (963) ~ (all_0_140_140 = e11)
% 15.01/4.00 |
% 15.01/4.00 | Combining equations (1805,961) yields a new equation:
% 15.01/4.00 | (903) e12 = e10
% 15.01/4.00 |
% 15.01/4.00 | Equations (903) can reduce 133 to:
% 15.01/4.00 | (394) $false
% 15.01/4.00 |
% 15.01/4.00 |-The branch is then unsatisfiable
% 15.01/4.00 |-Branch two:
% 15.01/4.00 | (966) all_0_145_145 = e12 & all_0_148_148 = e10 & ~ (all_0_144_144 = e11)
% 15.01/4.00 |
% 15.01/4.00 | Applying alpha-rule on (966) yields:
% 15.01/4.00 | (928) all_0_145_145 = e12
% 15.01/4.00 | (968) all_0_148_148 = e10
% 15.01/4.00 | (516) ~ (all_0_144_144 = e11)
% 15.01/4.00 |
% 15.01/4.00 | Equations (968) can reduce 868 to:
% 15.01/4.00 | (394) $false
% 15.01/4.00 |
% 15.01/4.00 |-The branch is then unsatisfiable
% 15.01/4.00 |-Branch two:
% 15.01/4.00 | (972) all_0_149_149 = e10 & ~ (all_0_138_138 = e13)
% 15.01/4.00 |
% 15.01/4.00 | Applying alpha-rule on (972) yields:
% 15.01/4.00 | (950) all_0_149_149 = e10
% 15.01/4.00 | (962) ~ (all_0_138_138 = e13)
% 15.01/4.00 |
% 15.01/4.00 | Equations (950) can reduce 529 to:
% 15.01/4.00 | (394) $false
% 15.01/4.00 |
% 15.01/4.00 |-The branch is then unsatisfiable
% 15.01/4.00 |-Branch two:
% 15.01/4.00 | (527) ~ (all_0_141_141 = e10)
% 15.01/4.00 | (503) all_0_142_142 = e10
% 15.01/4.00 |
% 15.01/4.00 | Combining equations (1283,503) yields a new equation:
% 15.01/4.00 | (1064) e11 = e10
% 15.01/4.00 |
% 15.01/4.00 | Simplifying 1064 yields:
% 15.01/4.00 | (970) e11 = e10
% 15.01/4.00 |
% 15.01/4.00 | Equations (970) can reduce 252 to:
% 15.01/4.00 | (394) $false
% 15.01/4.00 |
% 15.01/4.00 |-The branch is then unsatisfiable
% 15.01/4.00 |-Branch two:
% 15.01/4.00 | (882) ~ (all_0_137_137 = e10)
% 15.01/4.00 | (536) all_0_137_137 = e13
% 15.01/4.00 |
% 15.01/4.00 | Equations (536) can reduce 1574 to:
% 15.01/4.00 | (394) $false
% 15.01/4.00 |
% 15.01/4.00 |-The branch is then unsatisfiable
% 15.01/4.00 |-Branch two:
% 15.01/4.00 | (946) ~ (all_0_147_147 = e10)
% 15.01/4.00 | (902) all_0_147_147 = e12
% 15.01/4.00 |
% 15.01/4.00 | Equations (902) can reduce 228 to:
% 15.01/4.00 | (1017) ~ (all_0_139_139 = e12)
% 15.01/4.00 |
% 15.01/4.00 | Equations (902) can reduce 279 to:
% 15.01/4.00 | (1236) ~ (all_0_143_143 = e12)
% 15.01/4.00 |
% 15.01/4.00 | Equations (902) can reduce 290 to:
% 15.01/4.00 | (1297) ~ (all_0_148_148 = e12)
% 15.01/4.00 |
% 15.01/4.00 | Simplifying 1297 yields:
% 15.01/4.00 | (910) ~ (all_0_148_148 = e12)
% 15.01/4.00 |
% 15.01/4.00 | Equations (902) can reduce 128 to:
% 15.01/4.00 | (1649) ~ (all_0_149_149 = e12)
% 15.01/4.00 |
% 15.01/4.00 | Simplifying 1649 yields:
% 15.01/4.00 | (1650) ~ (all_0_149_149 = e12)
% 15.01/4.00 |
% 15.01/4.00 | Equations (902) can reduce 946 to:
% 15.01/4.00 | (133) ~ (e12 = e10)
% 15.01/4.00 |
% 15.01/4.00 +-Applying beta-rule and splitting (231), into two cases.
% 15.01/4.00 |-Branch one:
% 15.01/4.00 | (874) all_0_143_143 = e10
% 15.01/4.00 |
% 15.01/4.00 | Equations (874) can reduce 866 to:
% 15.01/4.00 | (394) $false
% 15.01/4.00 |
% 15.01/4.00 |-The branch is then unsatisfiable
% 15.01/4.00 |-Branch two:
% 15.01/4.00 | (866) ~ (all_0_143_143 = e10)
% 15.01/4.00 | (1938) all_0_143_143 = e13 | all_0_143_143 = e12
% 15.01/4.00 |
% 15.01/4.00 +-Applying beta-rule and splitting (1938), into two cases.
% 15.01/4.00 |-Branch one:
% 15.01/4.00 | (1232) all_0_143_143 = e12
% 15.01/4.00 |
% 15.01/4.00 | Equations (1232) can reduce 1236 to:
% 15.01/4.00 | (394) $false
% 15.01/4.00 |
% 15.01/4.00 |-The branch is then unsatisfiable
% 15.01/4.00 |-Branch two:
% 15.01/4.00 | (1236) ~ (all_0_143_143 = e12)
% 15.01/4.00 | (941) all_0_143_143 = e13
% 15.01/4.00 |
% 15.01/4.00 | Equations (941) can reduce 2 to:
% 15.01/4.00 | (940) ~ (all_0_139_139 = e13)
% 15.01/4.00 |
% 15.01/4.00 | Equations (941) can reduce 866 to:
% 15.01/4.00 | (86) ~ (e13 = e10)
% 15.01/4.00 |
% 15.01/4.00 +-Applying beta-rule and splitting (163), into two cases.
% 15.01/4.00 |-Branch one:
% 15.01/4.00 | (1097) all_0_139_139 = e10
% 15.01/4.00 |
% 15.01/4.00 | Equations (1097) can reduce 345 to:
% 15.01/4.00 | (526) ~ (all_0_141_141 = e10)
% 15.01/4.00 |
% 15.01/4.00 | Simplifying 526 yields:
% 15.01/4.00 | (527) ~ (all_0_141_141 = e10)
% 15.01/4.00 |
% 15.01/4.01 | Equations (1097) can reduce 940 to:
% 15.01/4.01 | (508) ~ (e13 = e10)
% 15.01/4.01 |
% 15.01/4.01 | Simplifying 508 yields:
% 15.01/4.01 | (86) ~ (e13 = e10)
% 15.01/4.01 |
% 15.01/4.01 | Equations (1097) can reduce 1017 to:
% 15.01/4.01 | (530) ~ (e12 = e10)
% 15.01/4.01 |
% 15.01/4.01 | Simplifying 530 yields:
% 15.01/4.01 | (133) ~ (e12 = e10)
% 15.01/4.01 |
% 15.01/4.01 +-Applying beta-rule and splitting (246), into two cases.
% 15.01/4.01 |-Branch one:
% 15.01/4.01 | (1367) (all_0_111_111 = e12 & all_0_112_112 = e11 & all_0_137_137 = e10 & all_0_138_138 = e13 & all_0_147_147 = e10 & ~ (all_0_145_145 = e13) & ( ~ (all_0_140_140 = e13) | all_0_139_139 = e12)) | (all_0_113_113 = e13 & all_0_114_114 = e12 & all_0_115_115 = e11 & all_0_116_116 = e10 & ( ~ (all_0_145_145 = e12) | all_0_144_144 = e11)) | (all_0_117_117 = e13 & all_0_118_118 = e12 & all_0_119_119 = e11 & all_0_120_120 = e10 & all_0_138_138 = e13 & ( ~ (all_0_140_140 = e11) | all_0_141_141 = e12))
% 15.01/4.01 |
% 15.01/4.01 +-Applying beta-rule and splitting (1367), into two cases.
% 15.01/4.01 |-Branch one:
% 15.01/4.01 | (1368) (all_0_111_111 = e12 & all_0_112_112 = e11 & all_0_137_137 = e10 & all_0_138_138 = e13 & all_0_147_147 = e10 & ~ (all_0_145_145 = e13) & ( ~ (all_0_140_140 = e13) | all_0_139_139 = e12)) | (all_0_113_113 = e13 & all_0_114_114 = e12 & all_0_115_115 = e11 & all_0_116_116 = e10 & ( ~ (all_0_145_145 = e12) | all_0_144_144 = e11))
% 15.01/4.01 |
% 15.01/4.01 +-Applying beta-rule and splitting (1368), into two cases.
% 15.01/4.01 |-Branch one:
% 15.01/4.01 | (1369) all_0_111_111 = e12 & all_0_112_112 = e11 & all_0_137_137 = e10 & all_0_138_138 = e13 & all_0_147_147 = e10 & ~ (all_0_145_145 = e13) & ( ~ (all_0_140_140 = e13) | all_0_139_139 = e12)
% 15.01/4.01 |
% 15.01/4.01 | Applying alpha-rule on (1369) yields:
% 15.01/4.01 | (1370) all_0_111_111 = e12
% 15.01/4.01 | (864) all_0_147_147 = e10
% 15.01/4.01 | (1372) ~ (all_0_140_140 = e13) | all_0_139_139 = e12
% 15.01/4.01 | (1094) ~ (all_0_145_145 = e13)
% 15.01/4.01 | (1344) all_0_138_138 = e13
% 15.01/4.01 | (1375) all_0_112_112 = e11
% 15.01/4.01 | (878) all_0_137_137 = e10
% 15.01/4.01 |
% 15.01/4.01 | Combining equations (902,864) yields a new equation:
% 15.01/4.01 | (952) e12 = e10
% 15.01/4.01 |
% 15.01/4.01 | Simplifying 952 yields:
% 15.01/4.01 | (903) e12 = e10
% 15.01/4.01 |
% 15.01/4.01 | Equations (903) can reduce 133 to:
% 15.01/4.01 | (394) $false
% 15.01/4.01 |
% 15.01/4.01 |-The branch is then unsatisfiable
% 15.01/4.01 |-Branch two:
% 15.01/4.01 | (1383) all_0_113_113 = e13 & all_0_114_114 = e12 & all_0_115_115 = e11 & all_0_116_116 = e10 & ( ~ (all_0_145_145 = e12) | all_0_144_144 = e11)
% 15.01/4.01 |
% 15.01/4.01 | Applying alpha-rule on (1383) yields:
% 15.01/4.01 | (1384) all_0_114_114 = e12
% 15.01/4.01 | (1385) all_0_115_115 = e11
% 15.01/4.01 | (1386) ~ (all_0_145_145 = e12) | all_0_144_144 = e11
% 15.01/4.01 | (1387) all_0_116_116 = e10
% 15.01/4.01 | (1388) all_0_113_113 = e13
% 15.01/4.01 |
% 15.01/4.01 | Combining equations (1387,1763) yields a new equation:
% 15.01/4.01 | (1805) all_0_141_141 = e10
% 15.01/4.01 |
% 15.01/4.01 | Equations (1805) can reduce 527 to:
% 15.01/4.01 | (394) $false
% 15.01/4.01 |
% 15.01/4.01 |-The branch is then unsatisfiable
% 15.01/4.01 |-Branch two:
% 15.01/4.01 | (1506) all_0_117_117 = e13 & all_0_118_118 = e12 & all_0_119_119 = e11 & all_0_120_120 = e10 & all_0_138_138 = e13 & ( ~ (all_0_140_140 = e11) | all_0_141_141 = e12)
% 15.01/4.01 |
% 15.01/4.01 | Applying alpha-rule on (1506) yields:
% 15.01/4.01 | (1507) ~ (all_0_140_140 = e11) | all_0_141_141 = e12
% 15.01/4.01 | (1508) all_0_118_118 = e12
% 15.01/4.01 | (1344) all_0_138_138 = e13
% 15.01/4.01 | (1510) all_0_120_120 = e10
% 15.01/4.01 | (1511) all_0_117_117 = e13
% 15.01/4.01 | (1512) all_0_119_119 = e11
% 15.01/4.01 |
% 15.01/4.01 | Equations (1344) can reduce 384 to:
% 15.01/4.01 | (1574) ~ (all_0_137_137 = e13)
% 15.01/4.01 |
% 15.01/4.01 | Equations (1344) can reduce 12 to:
% 15.01/4.01 | (1336) ~ (all_0_141_141 = e13)
% 15.01/4.01 |
% 15.01/4.01 | Simplifying 1336 yields:
% 15.01/4.01 | (1337) ~ (all_0_141_141 = e13)
% 15.01/4.01 |
% 15.01/4.01 +-Applying beta-rule and splitting (180), into two cases.
% 15.01/4.01 |-Branch one:
% 15.01/4.01 | (878) all_0_137_137 = e10
% 15.01/4.01 |
% 15.01/4.01 | Equations (878) can reduce 363 to:
% 15.29/4.01 | (1586) ~ (all_0_140_140 = e10)
% 15.29/4.01 |
% 15.29/4.01 | Simplifying 1586 yields:
% 15.29/4.01 | (505) ~ (all_0_140_140 = e10)
% 15.29/4.01 |
% 15.29/4.01 | Equations (878) can reduce 186 to:
% 15.29/4.01 | (1986) ~ (all_0_144_144 = e10)
% 15.29/4.01 |
% 15.29/4.01 | Simplifying 1986 yields:
% 15.29/4.01 | (1286) ~ (all_0_144_144 = e10)
% 15.29/4.01 |
% 15.29/4.01 | Equations (878) can reduce 368 to:
% 15.29/4.01 | (867) ~ (all_0_148_148 = e10)
% 15.29/4.01 |
% 15.29/4.01 | Simplifying 867 yields:
% 15.29/4.01 | (868) ~ (all_0_148_148 = e10)
% 15.29/4.01 |
% 15.29/4.01 | Equations (878) can reduce 1574 to:
% 15.29/4.01 | (508) ~ (e13 = e10)
% 15.29/4.01 |
% 15.29/4.01 | Simplifying 508 yields:
% 15.29/4.01 | (86) ~ (e13 = e10)
% 15.29/4.01 |
% 15.29/4.01 +-Applying beta-rule and splitting (335), into two cases.
% 15.29/4.01 |-Branch one:
% 15.29/4.01 | (968) all_0_148_148 = e10
% 15.29/4.01 |
% 15.29/4.01 | Equations (968) can reduce 868 to:
% 15.29/4.01 | (394) $false
% 15.29/4.01 |
% 15.29/4.01 |-The branch is then unsatisfiable
% 15.29/4.01 |-Branch two:
% 15.29/4.01 | (868) ~ (all_0_148_148 = e10)
% 15.29/4.01 | (1654) all_0_148_148 = e12 | all_0_148_148 = e11
% 15.29/4.01 |
% 15.29/4.01 +-Applying beta-rule and splitting (1654), into two cases.
% 15.29/4.01 |-Branch one:
% 15.29/4.01 | (907) all_0_148_148 = e12
% 15.29/4.01 |
% 15.29/4.01 | Equations (907) can reduce 910 to:
% 15.29/4.01 | (394) $false
% 15.29/4.01 |
% 15.29/4.01 |-The branch is then unsatisfiable
% 15.29/4.01 |-Branch two:
% 15.29/4.01 | (910) ~ (all_0_148_148 = e12)
% 15.29/4.01 | (899) all_0_148_148 = e11
% 15.29/4.01 |
% 15.29/4.01 | Equations (899) can reduce 32 to:
% 15.29/4.01 | (963) ~ (all_0_140_140 = e11)
% 15.29/4.01 |
% 15.29/4.01 | Equations (899) can reduce 79 to:
% 15.29/4.01 | (900) ~ (all_0_149_149 = e11)
% 15.29/4.01 |
% 15.29/4.01 | Simplifying 900 yields:
% 15.29/4.01 | (901) ~ (all_0_149_149 = e11)
% 15.29/4.01 |
% 15.29/4.01 | Equations (899) can reduce 910 to:
% 15.29/4.01 | (518) ~ (e12 = e11)
% 15.29/4.01 |
% 15.29/4.01 | Simplifying 518 yields:
% 15.29/4.01 | (65) ~ (e12 = e11)
% 15.29/4.01 |
% 15.29/4.01 +-Applying beta-rule and splitting (297), into two cases.
% 15.29/4.01 |-Branch one:
% 15.29/4.01 | (916) all_0_141_141 = e11
% 15.29/4.01 |
% 15.29/4.02 | Equations (916) can reduce 978 to:
% 15.29/4.02 | (394) $false
% 15.29/4.02 |
% 15.29/4.02 |-The branch is then unsatisfiable
% 15.29/4.02 |-Branch two:
% 15.29/4.02 | (978) ~ (all_0_141_141 = e11)
% 15.29/4.02 | (979) all_0_145_145 = e11 | all_0_149_149 = e11
% 15.29/4.02 |
% 15.29/4.02 +-Applying beta-rule and splitting (979), into two cases.
% 15.29/4.02 |-Branch one:
% 15.29/4.02 | (980) all_0_145_145 = e11
% 15.29/4.02 |
% 15.29/4.02 | Equations (980) can reduce 364 to:
% 15.29/4.02 | (516) ~ (all_0_144_144 = e11)
% 15.29/4.02 |
% 15.29/4.02 | Equations (980) can reduce 25 to:
% 15.29/4.02 | (900) ~ (all_0_149_149 = e11)
% 15.29/4.02 |
% 15.29/4.02 | Simplifying 900 yields:
% 15.29/4.02 | (901) ~ (all_0_149_149 = e11)
% 15.29/4.02 |
% 15.29/4.02 | Equations (980) can reduce 891 to:
% 15.29/4.02 | (252) ~ (e11 = e10)
% 15.29/4.02 |
% 15.29/4.02 +-Applying beta-rule and splitting (263), into two cases.
% 15.29/4.02 |-Branch one:
% 15.29/4.02 | (937) all_0_139_139 = e13
% 15.29/4.02 |
% 15.29/4.02 | Combining equations (1097,937) yields a new equation:
% 15.29/4.02 | (880) e13 = e10
% 15.29/4.02 |
% 15.29/4.02 | Equations (880) can reduce 86 to:
% 15.29/4.02 | (394) $false
% 15.29/4.02 |
% 15.29/4.02 |-The branch is then unsatisfiable
% 15.29/4.02 |-Branch two:
% 15.29/4.02 | (940) ~ (all_0_139_139 = e13)
% 15.29/4.02 | (1124) all_0_140_140 = e13 | all_0_141_141 = e13
% 15.29/4.02 |
% 15.29/4.02 +-Applying beta-rule and splitting (1124), into two cases.
% 15.29/4.02 |-Branch one:
% 15.29/4.02 | (1125) all_0_140_140 = e13
% 15.29/4.02 |
% 15.29/4.02 | Equations (1125) can reduce 302 to:
% 15.29/4.02 | (2020) ~ (all_0_144_144 = e13)
% 15.29/4.02 |
% 15.29/4.02 | Simplifying 2020 yields:
% 15.29/4.02 | (2021) ~ (all_0_144_144 = e13)
% 15.29/4.02 |
% 15.29/4.02 | Equations (1125) can reduce 963 to:
% 15.29/4.02 | (383) ~ (e13 = e11)
% 15.29/4.02 |
% 15.29/4.02 | Equations (1125) can reduce 505 to:
% 15.29/4.02 | (86) ~ (e13 = e10)
% 15.29/4.02 |
% 15.29/4.02 +-Applying beta-rule and splitting (242), into two cases.
% 15.29/4.02 |-Branch one:
% 15.29/4.02 | (525) all_0_138_138 = e10
% 15.29/4.02 |
% 15.29/4.02 | Combining equations (525,1344) yields a new equation:
% 15.29/4.02 | (880) e13 = e10
% 15.29/4.02 |
% 15.29/4.02 | Equations (880) can reduce 86 to:
% 15.29/4.02 | (394) $false
% 15.29/4.02 |
% 15.29/4.02 |-The branch is then unsatisfiable
% 15.29/4.02 |-Branch two:
% 15.29/4.02 | (1578) ~ (all_0_138_138 = e10)
% 15.29/4.02 | (2028) all_0_141_141 = e10 | all_0_145_145 = e10 | all_0_149_149 = e10
% 15.29/4.02 |
% 15.29/4.02 +-Applying beta-rule and splitting (46), into two cases.
% 15.29/4.02 |-Branch one:
% 15.29/4.02 | (950) all_0_149_149 = e10
% 15.29/4.02 |
% 15.29/4.02 | Equations (950) can reduce 901 to:
% 15.29/4.02 | (532) ~ (e11 = e10)
% 15.29/4.02 |
% 15.29/4.02 | Simplifying 532 yields:
% 15.29/4.02 | (252) ~ (e11 = e10)
% 15.29/4.02 |
% 15.29/4.02 +-Applying beta-rule and splitting (200), into two cases.
% 15.29/4.02 |-Branch one:
% 15.29/4.02 | (888) all_0_144_144 = e10
% 15.29/4.02 |
% 15.29/4.02 | Equations (888) can reduce 1286 to:
% 15.29/4.02 | (394) $false
% 15.29/4.02 |
% 15.29/4.02 |-The branch is then unsatisfiable
% 15.29/4.02 |-Branch two:
% 15.29/4.02 | (1286) ~ (all_0_144_144 = e10)
% 15.29/4.02 | (2035) all_0_144_144 = e13 | all_0_144_144 = e12 | all_0_144_144 = e11
% 15.29/4.02 |
% 15.29/4.02 +-Applying beta-rule and splitting (2035), into two cases.
% 15.29/4.02 |-Branch one:
% 15.29/4.02 | (1253) all_0_144_144 = e12
% 15.29/4.02 |
% 15.29/4.02 | Equations (1253) can reduce 516 to:
% 15.29/4.02 | (65) ~ (e12 = e11)
% 15.29/4.02 |
% 15.29/4.02 | Equations (1253) can reduce 1286 to:
% 15.29/4.02 | (133) ~ (e12 = e10)
% 15.29/4.02 |
% 15.29/4.02 +-Applying beta-rule and splitting (154), into two cases.
% 15.29/4.02 |-Branch one:
% 15.29/4.02 | (920) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)) | (all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10)) | (all_0_141_141 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_140_140 = e11)) | (all_0_145_145 = e12 & all_0_148_148 = e10 & ~ (all_0_144_144 = e11))
% 15.29/4.02 |
% 15.29/4.02 +-Applying beta-rule and splitting (920), into two cases.
% 15.29/4.02 |-Branch one:
% 15.29/4.02 | (921) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)) | (all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10)) | (all_0_141_141 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_140_140 = e11))
% 15.29/4.02 |
% 15.29/4.02 +-Applying beta-rule and splitting (921), into two cases.
% 15.29/4.02 |-Branch one:
% 15.29/4.02 | (922) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)) | (all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10))
% 15.29/4.02 |
% 15.29/4.02 +-Applying beta-rule and splitting (922), into two cases.
% 15.29/4.02 |-Branch one:
% 15.29/4.02 | (923) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)) | (all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12))
% 15.29/4.02 |
% 15.29/4.02 +-Applying beta-rule and splitting (923), into two cases.
% 15.29/4.02 |-Branch one:
% 15.29/4.02 | (924) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)) | (all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10))
% 15.29/4.02 |
% 15.29/4.02 +-Applying beta-rule and splitting (924), into two cases.
% 15.29/4.02 |-Branch one:
% 15.29/4.02 | (925) (all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)) | (all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13))
% 15.29/4.02 |
% 15.29/4.02 +-Applying beta-rule and splitting (925), into two cases.
% 15.29/4.02 |-Branch one:
% 15.29/4.02 | (926) all_0_137_137 = e13 & all_0_145_145 = e12 & ~ (all_0_144_144 = e11)
% 15.29/4.02 |
% 15.29/4.02 | Applying alpha-rule on (926) yields:
% 15.29/4.02 | (536) all_0_137_137 = e13
% 15.29/4.02 | (928) all_0_145_145 = e12
% 15.29/4.02 | (516) ~ (all_0_144_144 = e11)
% 15.29/4.02 |
% 15.29/4.02 | Combining equations (928,980) yields a new equation:
% 15.29/4.02 | (1040) e12 = e11
% 15.29/4.02 |
% 15.29/4.02 | Simplifying 1040 yields:
% 15.29/4.02 | (908) e12 = e11
% 15.29/4.02 |
% 15.29/4.02 | Equations (908) can reduce 65 to:
% 15.29/4.02 | (394) $false
% 15.29/4.02 |
% 15.29/4.02 |-The branch is then unsatisfiable
% 15.29/4.02 |-Branch two:
% 15.29/4.02 | (931) all_0_139_139 = e12 & all_0_145_145 = e13 & ~ (all_0_140_140 = e13)
% 15.29/4.02 |
% 15.29/4.02 | Applying alpha-rule on (931) yields:
% 15.29/4.02 | (932) all_0_139_139 = e12
% 15.29/4.02 | (933) all_0_145_145 = e13
% 15.29/4.02 | (934) ~ (all_0_140_140 = e13)
% 15.29/4.02 |
% 15.29/4.02 | Combining equations (1097,932) yields a new equation:
% 15.29/4.02 | (903) e12 = e10
% 15.29/4.02 |
% 15.29/4.02 | Equations (903) can reduce 133 to:
% 15.29/4.02 | (394) $false
% 15.29/4.02 |
% 15.29/4.02 |-The branch is then unsatisfiable
% 15.29/4.02 |-Branch two:
% 15.29/4.02 | (943) all_0_139_139 = e12 & ~ (all_0_140_140 = e13) & ~ (all_0_147_147 = e10)
% 15.29/4.02 |
% 15.29/4.02 | Applying alpha-rule on (943) yields:
% 15.29/4.02 | (932) all_0_139_139 = e12
% 15.29/4.02 | (934) ~ (all_0_140_140 = e13)
% 15.29/4.02 | (946) ~ (all_0_147_147 = e10)
% 15.29/4.02 |
% 15.29/4.02 | Combining equations (1097,932) yields a new equation:
% 15.29/4.02 | (903) e12 = e10
% 15.29/4.02 |
% 15.29/4.02 | Equations (903) can reduce 133 to:
% 15.29/4.02 | (394) $false
% 15.29/4.02 |
% 15.29/4.02 |-The branch is then unsatisfiable
% 15.29/4.02 |-Branch two:
% 15.29/4.02 | (948) all_0_140_140 = e11 & all_0_149_149 = e10 & ~ (all_0_141_141 = e12)
% 15.29/4.02 |
% 15.29/4.02 | Applying alpha-rule on (948) yields:
% 15.29/4.02 | (949) all_0_140_140 = e11
% 15.29/4.02 | (950) all_0_149_149 = e10
% 15.29/4.02 | (912) ~ (all_0_141_141 = e12)
% 15.29/4.02 |
% 15.29/4.02 | Combining equations (1125,949) yields a new equation:
% 15.29/4.02 | (2068) e13 = e11
% 15.29/4.02 |
% 15.29/4.02 | Simplifying 2068 yields:
% 15.29/4.02 | (1126) e13 = e11
% 15.29/4.02 |
% 15.29/4.02 | Equations (1126) can reduce 383 to:
% 15.29/4.02 | (394) $false
% 15.29/4.02 |
% 15.29/4.02 |-The branch is then unsatisfiable
% 15.29/4.02 |-Branch two:
% 15.29/4.02 | (955) all_0_140_140 = e10 & all_0_146_146 = e11 & ~ (all_0_145_145 = e10)
% 15.29/4.02 |
% 15.29/4.02 | Applying alpha-rule on (955) yields:
% 15.29/4.02 | (884) all_0_140_140 = e10
% 15.29/4.02 | (514) all_0_146_146 = e11
% 15.29/4.02 | (891) ~ (all_0_145_145 = e10)
% 15.29/4.02 |
% 15.29/4.02 | Combining equations (511,514) yields a new equation:
% 15.29/4.02 | (970) e11 = e10
% 15.29/4.02 |
% 15.29/4.02 | Equations (970) can reduce 252 to:
% 15.29/4.02 | (394) $false
% 15.29/4.02 |
% 15.29/4.02 |-The branch is then unsatisfiable
% 15.29/4.02 |-Branch two:
% 15.29/4.02 | (960) all_0_141_141 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_140_140 = e11)
% 15.29/4.02 |
% 15.29/4.02 | Applying alpha-rule on (960) yields:
% 15.29/4.02 | (961) all_0_141_141 = e12
% 15.29/4.02 | (962) ~ (all_0_138_138 = e13)
% 15.29/4.02 | (963) ~ (all_0_140_140 = e11)
% 15.29/4.02 |
% 15.29/4.02 | Equations (1344) can reduce 962 to:
% 15.29/4.02 | (394) $false
% 15.29/4.02 |
% 15.29/4.02 |-The branch is then unsatisfiable
% 15.29/4.02 |-Branch two:
% 15.29/4.02 | (966) all_0_145_145 = e12 & all_0_148_148 = e10 & ~ (all_0_144_144 = e11)
% 15.29/4.02 |
% 15.29/4.02 | Applying alpha-rule on (966) yields:
% 15.29/4.02 | (928) all_0_145_145 = e12
% 15.29/4.02 | (968) all_0_148_148 = e10
% 15.29/4.02 | (516) ~ (all_0_144_144 = e11)
% 15.29/4.02 |
% 15.29/4.02 | Combining equations (899,968) yields a new equation:
% 15.29/4.02 | (1064) e11 = e10
% 15.29/4.02 |
% 15.29/4.02 | Simplifying 1064 yields:
% 15.29/4.02 | (970) e11 = e10
% 15.29/4.02 |
% 15.29/4.02 | Equations (970) can reduce 252 to:
% 15.29/4.02 | (394) $false
% 15.29/4.02 |
% 15.29/4.02 |-The branch is then unsatisfiable
% 15.29/4.02 |-Branch two:
% 15.29/4.02 | (972) all_0_149_149 = e10 & ~ (all_0_138_138 = e13)
% 15.29/4.02 |
% 15.29/4.02 | Applying alpha-rule on (972) yields:
% 15.29/4.02 | (950) all_0_149_149 = e10
% 15.29/4.02 | (962) ~ (all_0_138_138 = e13)
% 15.29/4.02 |
% 15.29/4.02 | Equations (1344) can reduce 962 to:
% 15.29/4.02 | (394) $false
% 15.29/4.02 |
% 15.29/4.02 |-The branch is then unsatisfiable
% 15.29/4.02 |-Branch two:
% 15.29/4.02 | (1256) ~ (all_0_144_144 = e12)
% 15.29/4.02 | (2094) all_0_144_144 = e13 | all_0_144_144 = e11
% 15.29/4.02 |
% 15.29/4.02 +-Applying beta-rule and splitting (2094), into two cases.
% 15.29/4.02 |-Branch one:
% 15.29/4.02 | (1504) all_0_144_144 = e11
% 15.29/4.02 |
% 15.29/4.02 | Equations (1504) can reduce 516 to:
% 15.29/4.02 | (394) $false
% 15.29/4.02 |
% 15.29/4.02 |-The branch is then unsatisfiable
% 15.29/4.02 |-Branch two:
% 15.29/4.02 | (516) ~ (all_0_144_144 = e11)
% 15.29/4.02 | (2098) all_0_144_144 = e13
% 15.29/4.02 |
% 15.29/4.02 | Equations (2098) can reduce 2021 to:
% 15.29/4.02 | (394) $false
% 15.29/4.02 |
% 15.29/4.02 |-The branch is then unsatisfiable
% 15.29/4.02 |-Branch two:
% 15.29/4.02 | (529) ~ (all_0_149_149 = e10)
% 15.29/4.02 | (1303) all_0_149_149 = e12 | all_0_149_149 = e11
% 15.29/4.02 |
% 15.29/4.02 +-Applying beta-rule and splitting (340), into two cases.
% 15.29/4.02 |-Branch one:
% 15.29/4.02 | (961) all_0_141_141 = e12
% 15.29/4.02 |
% 15.29/4.02 | Equations (961) can reduce 527 to:
% 15.29/4.02 | (133) ~ (e12 = e10)
% 15.29/4.02 |
% 15.29/4.02 +-Applying beta-rule and splitting (2028), into two cases.
% 15.29/4.02 |-Branch one:
% 15.29/4.02 | (1805) all_0_141_141 = e10
% 15.29/4.02 |
% 15.29/4.02 | Combining equations (961,1805) yields a new equation:
% 15.29/4.02 | (952) e12 = e10
% 15.29/4.03 |
% 15.29/4.03 | Simplifying 952 yields:
% 15.29/4.03 | (903) e12 = e10
% 15.29/4.03 |
% 15.29/4.03 | Equations (903) can reduce 133 to:
% 15.29/4.03 | (394) $false
% 15.29/4.03 |
% 15.29/4.03 |-The branch is then unsatisfiable
% 15.29/4.03 |-Branch two:
% 15.29/4.03 | (527) ~ (all_0_141_141 = e10)
% 15.29/4.03 | (2109) all_0_145_145 = e10 | all_0_149_149 = e10
% 15.29/4.03 |
% 15.29/4.03 +-Applying beta-rule and splitting (2109), into two cases.
% 15.29/4.03 |-Branch one:
% 15.29/4.03 | (1242) all_0_145_145 = e10
% 15.29/4.03 |
% 15.29/4.03 | Combining equations (980,1242) yields a new equation:
% 15.29/4.03 | (1064) e11 = e10
% 15.29/4.03 |
% 15.29/4.03 | Simplifying 1064 yields:
% 15.29/4.03 | (970) e11 = e10
% 15.29/4.03 |
% 15.29/4.03 | Equations (970) can reduce 252 to:
% 15.29/4.03 | (394) $false
% 15.29/4.03 |
% 15.29/4.03 |-The branch is then unsatisfiable
% 15.29/4.03 |-Branch two:
% 15.29/4.03 | (891) ~ (all_0_145_145 = e10)
% 15.29/4.03 | (950) all_0_149_149 = e10
% 15.29/4.03 |
% 15.29/4.03 | Equations (950) can reduce 529 to:
% 15.29/4.03 | (394) $false
% 15.29/4.03 |
% 15.29/4.03 |-The branch is then unsatisfiable
% 15.29/4.03 |-Branch two:
% 15.29/4.03 | (912) ~ (all_0_141_141 = e12)
% 15.29/4.03 | (1449) all_0_145_145 = e12 | all_0_149_149 = e12
% 15.29/4.03 |
% 15.29/4.03 +-Applying beta-rule and splitting (1449), into two cases.
% 15.29/4.03 |-Branch one:
% 15.29/4.03 | (928) all_0_145_145 = e12
% 15.29/4.03 |
% 15.29/4.03 | Combining equations (980,928) yields a new equation:
% 15.29/4.03 | (908) e12 = e11
% 15.29/4.03 |
% 15.29/4.03 | Equations (908) can reduce 65 to:
% 15.29/4.03 | (394) $false
% 15.29/4.03 |
% 15.29/4.03 |-The branch is then unsatisfiable
% 15.29/4.03 |-Branch two:
% 15.29/4.03 | (913) ~ (all_0_145_145 = e12)
% 15.29/4.03 | (911) all_0_149_149 = e12
% 15.29/4.03 |
% 15.29/4.03 | Equations (911) can reduce 1650 to:
% 15.29/4.03 | (394) $false
% 15.29/4.03 |
% 15.29/4.03 |-The branch is then unsatisfiable
% 15.29/4.03 |-Branch two:
% 15.29/4.03 | (934) ~ (all_0_140_140 = e13)
% 15.29/4.03 | (1129) all_0_141_141 = e13
% 15.29/4.03 |
% 15.29/4.03 | Equations (1129) can reduce 1337 to:
% 15.29/4.03 | (394) $false
% 15.29/4.03 |
% 15.29/4.03 |-The branch is then unsatisfiable
% 15.29/4.03 |-Branch two:
% 15.29/4.03 | (517) ~ (all_0_145_145 = e11)
% 15.29/4.03 | (983) all_0_149_149 = e11
% 15.29/4.03 |
% 15.29/4.03 | Equations (983) can reduce 901 to:
% 15.29/4.03 | (394) $false
% 15.29/4.03 |
% 15.29/4.03 |-The branch is then unsatisfiable
% 15.29/4.03 |-Branch two:
% 15.29/4.03 | (882) ~ (all_0_137_137 = e10)
% 15.29/4.03 | (525) all_0_138_138 = e10
% 15.29/4.03 |
% 15.29/4.03 | Combining equations (525,1344) yields a new equation:
% 15.29/4.03 | (880) e13 = e10
% 15.29/4.03 |
% 15.29/4.03 | Equations (880) can reduce 86 to:
% 15.29/4.03 | (394) $false
% 15.29/4.03 |
% 15.29/4.03 |-The branch is then unsatisfiable
% 15.29/4.03 |-Branch two:
% 15.29/4.03 | (1515) all_0_121_121 = e13 & all_0_122_122 = e12 & all_0_123_123 = e11 & all_0_147_147 = e10 & ~ (all_0_140_140 = e10) & ( ~ (all_0_145_145 = e10) | all_0_146_146 = e11)
% 15.29/4.03 |
% 15.29/4.03 | Applying alpha-rule on (1515) yields:
% 15.29/4.03 | (1516) all_0_123_123 = e11
% 15.29/4.03 | (505) ~ (all_0_140_140 = e10)
% 15.29/4.03 | (1518) all_0_122_122 = e12
% 15.29/4.03 | (864) all_0_147_147 = e10
% 15.29/4.03 | (1520) ~ (all_0_145_145 = e10) | all_0_146_146 = e11
% 15.29/4.03 | (1521) all_0_121_121 = e13
% 15.29/4.03 |
% 15.29/4.03 | Combining equations (864,902) yields a new equation:
% 15.29/4.03 | (903) e12 = e10
% 15.29/4.03 |
% 15.29/4.03 | Equations (903) can reduce 133 to:
% 15.29/4.03 | (394) $false
% 15.29/4.03 |
% 15.29/4.03 |-The branch is then unsatisfiable
% 15.29/4.03 |-Branch two:
% 15.29/4.03 | (504) ~ (all_0_139_139 = e10)
% 15.29/4.03 | (1328) all_0_143_143 = e10 | all_0_147_147 = e10
% 15.29/4.03 |
% 15.29/4.03 +-Applying beta-rule and splitting (1328), into two cases.
% 15.29/4.03 |-Branch one:
% 15.29/4.03 | (874) all_0_143_143 = e10
% 15.29/4.03 |
% 15.29/4.03 | Combining equations (874,941) yields a new equation:
% 15.29/4.03 | (880) e13 = e10
% 15.29/4.03 |
% 15.29/4.03 | Equations (880) can reduce 86 to:
% 15.29/4.03 | (394) $false
% 15.29/4.03 |
% 15.29/4.03 |-The branch is then unsatisfiable
% 15.29/4.03 |-Branch two:
% 15.29/4.03 | (866) ~ (all_0_143_143 = e10)
% 15.29/4.03 | (864) all_0_147_147 = e10
% 15.29/4.03 |
% 15.29/4.03 | Combining equations (902,864) yields a new equation:
% 15.29/4.03 | (952) e12 = e10
% 15.29/4.03 |
% 15.29/4.03 | Simplifying 952 yields:
% 15.29/4.03 | (903) e12 = e10
% 15.29/4.03 |
% 15.29/4.03 | Equations (903) can reduce 133 to:
% 15.29/4.03 | (394) $false
% 15.29/4.03 |
% 15.29/4.03 |-The branch is then unsatisfiable
% 15.29/4.03 |-Branch two:
% 15.29/4.03 | (2154) ~ (all_0_131_131 = e20)
% 15.29/4.03 | (2155) all_0_132_132 = e20 | all_0_133_133 = e20
% 15.29/4.03 |
% 15.29/4.03 +-Applying beta-rule and splitting (2155), into two cases.
% 15.29/4.03 |-Branch one:
% 15.29/4.03 | (2156) all_0_132_132 = e20
% 15.29/4.03 |
% 15.29/4.03 | Equations (2156) can reduce 459 to:
% 15.29/4.03 | (394) $false
% 15.29/4.03 |
% 15.29/4.03 |-The branch is then unsatisfiable
% 15.29/4.03 |-Branch two:
% 15.29/4.03 | (459) ~ (all_0_132_132 = e20)
% 15.29/4.03 | (393) all_0_133_133 = e20
% 15.29/4.03 |
% 15.29/4.03 | Combining equations (393,396) yields a new equation:
% 15.29/4.03 | (637) e21 = e20
% 15.29/4.03 |
% 15.29/4.03 | Equations (637) can reduce 151 to:
% 15.29/4.03 | (394) $false
% 15.29/4.03 |
% 15.29/4.03 |-The branch is then unsatisfiable
% 15.29/4.03 |-Branch two:
% 15.29/4.03 | (411) ~ (all_0_125_125 = e20)
% 15.29/4.03 | (419) all_0_125_125 = e23
% 15.29/4.03 |
% 15.29/4.03 | Equations (419) can reduce 463 to:
% 15.29/4.03 | (394) $false
% 15.29/4.03 |
% 15.29/4.03 |-The branch is then unsatisfiable
% 15.29/4.03 |-Branch two:
% 15.29/4.03 | (449) ~ (all_0_134_134 = e20)
% 15.29/4.03 | (547) all_0_134_134 = e22
% 15.29/4.03 |
% 15.29/4.03 | Equations (547) can reduce 211 to:
% 15.29/4.03 | (676) ~ (all_0_130_130 = e22)
% 15.29/4.03 |
% 15.29/4.03 | Equations (547) can reduce 324 to:
% 15.29/4.03 | (2168) ~ (all_0_136_136 = e22)
% 15.29/4.03 |
% 15.29/4.03 | Simplifying 2168 yields:
% 15.29/4.03 | (2169) ~ (all_0_136_136 = e22)
% 15.29/4.03 |
% 15.29/4.03 | Equations (547) can reduce 276 to:
% 15.29/4.03 | (310) ~ (e22 = e21)
% 15.29/4.03 |
% 15.29/4.03 | Equations (547) can reduce 449 to:
% 15.29/4.03 | (238) ~ (e22 = e20)
% 15.29/4.03 |
% 15.29/4.03 +-Applying beta-rule and splitting (373), into two cases.
% 15.29/4.03 |-Branch one:
% 15.29/4.03 | (568) all_0_126_126 = e20
% 15.29/4.03 |
% 15.29/4.03 | Equations (568) can reduce 387 to:
% 15.29/4.03 | (394) $false
% 15.29/4.03 |
% 15.29/4.03 |-The branch is then unsatisfiable
% 15.29/4.03 |-Branch two:
% 15.29/4.03 | (387) ~ (all_0_126_126 = e20)
% 15.29/4.03 | (2175) all_0_130_130 = e20 | all_0_134_134 = e20
% 15.29/4.03 |
% 15.29/4.03 +-Applying beta-rule and splitting (2175), into two cases.
% 15.29/4.03 |-Branch one:
% 15.29/4.03 | (494) all_0_130_130 = e20
% 15.29/4.03 |
% 15.29/4.03 | Equations (494) can reduce 356 to:
% 15.29/4.03 | (486) ~ (all_0_132_132 = e20)
% 15.29/4.03 |
% 15.29/4.03 | Simplifying 486 yields:
% 15.29/4.03 | (459) ~ (all_0_132_132 = e20)
% 15.29/4.03 |
% 15.29/4.03 | Equations (494) can reduce 676 to:
% 15.29/4.03 | (490) ~ (e22 = e20)
% 15.29/4.03 |
% 15.29/4.03 | Simplifying 490 yields:
% 15.29/4.03 | (238) ~ (e22 = e20)
% 15.29/4.03 |
% 15.29/4.03 | Equations (494) can reduce 16 to:
% 15.29/4.03 | (492) ~ (e21 = e20)
% 15.29/4.03 |
% 15.29/4.03 | Simplifying 492 yields:
% 15.29/4.03 | (151) ~ (e21 = e20)
% 15.29/4.03 |
% 15.29/4.03 +-Applying beta-rule and splitting (381), into two cases.
% 15.29/4.03 |-Branch one:
% 15.29/4.03 | (595) all_0_126_126 = e23
% 15.29/4.03 |
% 15.29/4.03 +-Applying beta-rule and splitting (291), into two cases.
% 15.29/4.03 |-Branch one:
% 15.29/4.03 | (2184) (all_0_98_98 = e22 & all_0_99_99 = e21 & all_0_124_124 = e20 & all_0_125_125 = e23 & all_0_134_134 = e20 & ~ (all_0_132_132 = e23) & ( ~ (all_0_127_127 = e23) | all_0_126_126 = e22)) | (all_0_100_100 = e23 & all_0_101_101 = e22 & all_0_102_102 = e21 & all_0_103_103 = e20 & ( ~ (all_0_132_132 = e22) | all_0_131_131 = e21)) | (all_0_104_104 = e23 & all_0_105_105 = e22 & all_0_106_106 = e21 & all_0_107_107 = e20 & all_0_125_125 = e23 & ( ~ (all_0_127_127 = e21) | all_0_128_128 = e22))
% 15.29/4.03 |
% 15.29/4.03 +-Applying beta-rule and splitting (2184), into two cases.
% 15.29/4.03 |-Branch one:
% 15.29/4.03 | (2185) (all_0_98_98 = e22 & all_0_99_99 = e21 & all_0_124_124 = e20 & all_0_125_125 = e23 & all_0_134_134 = e20 & ~ (all_0_132_132 = e23) & ( ~ (all_0_127_127 = e23) | all_0_126_126 = e22)) | (all_0_100_100 = e23 & all_0_101_101 = e22 & all_0_102_102 = e21 & all_0_103_103 = e20 & ( ~ (all_0_132_132 = e22) | all_0_131_131 = e21))
% 15.29/4.03 |
% 15.29/4.03 +-Applying beta-rule and splitting (2185), into two cases.
% 15.29/4.03 |-Branch one:
% 15.29/4.03 | (2186) all_0_98_98 = e22 & all_0_99_99 = e21 & all_0_124_124 = e20 & all_0_125_125 = e23 & all_0_134_134 = e20 & ~ (all_0_132_132 = e23) & ( ~ (all_0_127_127 = e23) | all_0_126_126 = e22)
% 15.29/4.03 |
% 15.29/4.03 | Applying alpha-rule on (2186) yields:
% 15.29/4.03 | (2187) ~ (all_0_127_127 = e23) | all_0_126_126 = e22
% 15.29/4.03 | (421) ~ (all_0_132_132 = e23)
% 15.29/4.03 | (409) all_0_124_124 = e20
% 15.29/4.03 | (419) all_0_125_125 = e23
% 15.29/4.03 | (2191) all_0_98_98 = e22
% 15.29/4.03 | (404) all_0_134_134 = e20
% 15.29/4.03 | (2193) all_0_99_99 = e21
% 15.29/4.03 |
% 15.29/4.03 | Combining equations (547,404) yields a new equation:
% 15.29/4.03 | (635) e22 = e20
% 15.29/4.03 |
% 15.29/4.03 | Simplifying 635 yields:
% 15.29/4.03 | (548) e22 = e20
% 15.29/4.03 |
% 15.29/4.03 | Equations (548) can reduce 238 to:
% 15.29/4.03 | (394) $false
% 15.29/4.03 |
% 15.29/4.03 |-The branch is then unsatisfiable
% 15.29/4.03 |-Branch two:
% 15.29/4.03 | (2197) all_0_100_100 = e23 & all_0_101_101 = e22 & all_0_102_102 = e21 & all_0_103_103 = e20 & ( ~ (all_0_132_132 = e22) | all_0_131_131 = e21)
% 15.29/4.03 |
% 15.29/4.03 | Applying alpha-rule on (2197) yields:
% 15.29/4.03 | (2198) all_0_100_100 = e23
% 15.29/4.03 | (2199) ~ (all_0_132_132 = e22) | all_0_131_131 = e21
% 15.29/4.03 | (2200) all_0_103_103 = e20
% 15.29/4.03 | (2201) all_0_102_102 = e21
% 15.29/4.03 | (2202) all_0_101_101 = e22
% 15.29/4.03 |
% 15.29/4.03 +-Applying beta-rule and splitting (2199), into two cases.
% 15.29/4.03 |-Branch one:
% 15.29/4.03 | (559) ~ (all_0_132_132 = e22)
% 15.29/4.03 |
% 15.29/4.03 +-Applying beta-rule and splitting (303), into two cases.
% 15.29/4.03 |-Branch one:
% 15.29/4.03 | (462) all_0_128_128 = e22
% 15.29/4.03 |
% 15.29/4.03 | Equations (462) can reduce 247 to:
% 15.29/4.03 | (2168) ~ (all_0_136_136 = e22)
% 15.29/4.03 |
% 15.29/4.03 | Simplifying 2168 yields:
% 15.29/4.03 | (2169) ~ (all_0_136_136 = e22)
% 15.29/4.03 |
% 15.29/4.03 | Equations (462) can reduce 388 to:
% 15.29/4.03 | (238) ~ (e22 = e20)
% 15.29/4.03 |
% 15.29/4.03 +-Applying beta-rule and splitting (56), into two cases.
% 15.29/4.03 |-Branch one:
% 15.29/4.04 | (583) all_0_128_128 = e21
% 15.29/4.04 |
% 15.29/4.04 | Combining equations (462,583) yields a new equation:
% 15.29/4.04 | (553) e22 = e21
% 15.29/4.04 |
% 15.29/4.04 | Simplifying 553 yields:
% 15.29/4.04 | (554) e22 = e21
% 15.29/4.04 |
% 15.29/4.04 | Equations (554) can reduce 310 to:
% 15.29/4.04 | (394) $false
% 15.29/4.04 |
% 15.29/4.04 |-The branch is then unsatisfiable
% 15.29/4.04 |-Branch two:
% 15.29/4.04 | (668) ~ (all_0_128_128 = e21)
% 15.29/4.04 | (669) all_0_132_132 = e21 | all_0_136_136 = e21
% 15.29/4.04 |
% 15.29/4.04 +-Applying beta-rule and splitting (669), into two cases.
% 15.29/4.04 |-Branch one:
% 15.29/4.04 | (2214) all_0_132_132 = e21
% 15.29/4.04 |
% 15.29/4.04 | Equations (2214) can reduce 399 to:
% 15.29/4.04 | (394) $false
% 15.29/4.04 |
% 15.29/4.04 |-The branch is then unsatisfiable
% 15.29/4.04 |-Branch two:
% 15.29/4.04 | (399) ~ (all_0_132_132 = e21)
% 15.29/4.04 | (723) all_0_136_136 = e21
% 15.29/4.04 |
% 15.29/4.04 | Equations (723) can reduce 190 to:
% 15.29/4.04 | (299) ~ (all_0_125_125 = e21)
% 15.29/4.04 |
% 15.29/4.04 | Equations (723) can reduce 2169 to:
% 15.29/4.04 | (400) ~ (e22 = e21)
% 15.29/4.04 |
% 15.29/4.04 | Simplifying 400 yields:
% 15.29/4.04 | (310) ~ (e22 = e21)
% 15.29/4.04 |
% 15.29/4.04 +-Applying beta-rule and splitting (30), into two cases.
% 15.29/4.04 |-Branch one:
% 15.29/4.04 | (404) all_0_134_134 = e20
% 15.29/4.04 |
% 15.29/4.04 | Combining equations (404,547) yields a new equation:
% 15.29/4.04 | (548) e22 = e20
% 15.29/4.04 |
% 15.29/4.04 | Equations (548) can reduce 238 to:
% 15.29/4.04 | (394) $false
% 15.29/4.04 |
% 15.29/4.04 |-The branch is then unsatisfiable
% 15.29/4.04 |-Branch two:
% 15.29/4.04 | (449) ~ (all_0_134_134 = e20)
% 15.29/4.04 | (2225) all_0_135_135 = e20 | all_0_136_136 = e20
% 15.29/4.04 |
% 15.29/4.04 +-Applying beta-rule and splitting (2225), into two cases.
% 15.29/4.04 |-Branch one:
% 15.29/4.04 | (468) all_0_135_135 = e20
% 15.29/4.04 |
% 15.29/4.04 | Equations (468) can reduce 296 to:
% 15.29/4.04 | (475) ~ (all_0_124_124 = e20)
% 15.29/4.04 |
% 15.29/4.04 | Equations (468) can reduce 93 to:
% 15.29/4.04 | (413) ~ (all_0_127_127 = e20)
% 15.29/4.04 |
% 15.29/4.04 | Equations (468) can reduce 102 to:
% 15.29/4.04 | (2154) ~ (all_0_131_131 = e20)
% 15.29/4.04 |
% 15.29/4.04 +-Applying beta-rule and splitting (217), into two cases.
% 15.29/4.04 |-Branch one:
% 15.29/4.04 | (409) all_0_124_124 = e20
% 15.29/4.04 |
% 15.29/4.04 | Equations (409) can reduce 475 to:
% 15.29/4.04 | (394) $false
% 15.29/4.04 |
% 15.29/4.04 |-The branch is then unsatisfiable
% 15.29/4.04 |-Branch two:
% 15.29/4.04 | (475) ~ (all_0_124_124 = e20)
% 15.29/4.04 | (416) all_0_125_125 = e20
% 15.29/4.04 |
% 15.29/4.04 | Equations (416) can reduce 323 to:
% 15.29/4.04 | (475) ~ (all_0_124_124 = e20)
% 15.29/4.04 |
% 15.29/4.04 | Equations (416) can reduce 299 to:
% 15.29/4.04 | (492) ~ (e21 = e20)
% 15.29/4.04 |
% 15.29/4.04 | Simplifying 492 yields:
% 15.29/4.04 | (151) ~ (e21 = e20)
% 15.29/4.04 |
% 15.29/4.04 +-Applying beta-rule and splitting (36), into two cases.
% 15.29/4.04 |-Branch one:
% 15.29/4.04 | (409) all_0_124_124 = e20
% 15.29/4.04 |
% 15.29/4.04 | Equations (409) can reduce 475 to:
% 15.29/4.04 | (394) $false
% 15.29/4.04 |
% 15.29/4.04 |-The branch is then unsatisfiable
% 15.29/4.04 |-Branch two:
% 15.29/4.04 | (475) ~ (all_0_124_124 = e20)
% 15.29/4.04 | (436) all_0_124_124 = e23
% 15.29/4.04 |
% 15.29/4.04 | Equations (436) can reduce 378 to:
% 15.29/4.04 | (2241) ~ (all_0_131_131 = e23)
% 15.29/4.04 |
% 15.29/4.04 | Simplifying 2241 yields:
% 15.29/4.04 | (601) ~ (all_0_131_131 = e23)
% 15.29/4.04 |
% 15.29/4.04 | Equations (436) can reduce 475 to:
% 15.29/4.04 | (235) ~ (e23 = e20)
% 15.29/4.04 |
% 15.29/4.04 +-Applying beta-rule and splitting (29), into two cases.
% 15.29/4.04 |-Branch one:
% 15.29/4.04 | (452) all_0_127_127 = e21
% 15.29/4.04 |
% 15.29/4.04 | Equations (452) can reduce 273 to:
% 15.29/4.04 | (2245) ~ (all_0_131_131 = e21)
% 15.29/4.04 |
% 15.29/4.04 | Simplifying 2245 yields:
% 15.29/4.04 | (398) ~ (all_0_131_131 = e21)
% 15.29/4.04 |
% 15.29/4.04 | Equations (452) can reduce 413 to:
% 15.29/4.04 | (151) ~ (e21 = e20)
% 15.29/4.04 |
% 15.29/4.04 +-Applying beta-rule and splitting (63), into two cases.
% 15.29/4.04 |-Branch one:
% 15.29/4.04 | (587) all_0_130_130 = e23
% 15.29/4.04 |
% 15.29/4.04 | Combining equations (494,587) yields a new equation:
% 15.29/4.04 | (424) e23 = e20
% 15.29/4.04 |
% 15.29/4.04 | Equations (424) can reduce 235 to:
% 15.29/4.04 | (394) $false
% 15.29/4.04 |
% 15.29/4.04 |-The branch is then unsatisfiable
% 15.29/4.04 |-Branch two:
% 15.29/4.04 | (591) ~ (all_0_130_130 = e23)
% 15.29/4.04 | (592) all_0_131_131 = e23 | all_0_132_132 = e23
% 15.29/4.04 |
% 15.29/4.04 +-Applying beta-rule and splitting (223), into two cases.
% 15.29/4.04 |-Branch one:
% 15.29/4.04 | (498) all_0_131_131 = e20
% 15.29/4.04 |
% 15.29/4.04 | Equations (498) can reduce 2154 to:
% 15.29/4.04 | (394) $false
% 15.29/4.04 |
% 15.29/4.04 |-The branch is then unsatisfiable
% 15.29/4.04 |-Branch two:
% 15.29/4.04 | (2154) ~ (all_0_131_131 = e20)
% 15.29/4.04 | (2256) all_0_131_131 = e23 | all_0_131_131 = e22 | all_0_131_131 = e21
% 15.29/4.04 |
% 15.29/4.04 +-Applying beta-rule and splitting (592), into two cases.
% 15.29/4.04 |-Branch one:
% 15.29/4.04 | (597) all_0_131_131 = e23
% 15.29/4.04 |
% 15.29/4.04 | Equations (597) can reduce 601 to:
% 15.29/4.04 | (394) $false
% 15.29/4.04 |
% 15.29/4.04 |-The branch is then unsatisfiable
% 15.29/4.04 |-Branch two:
% 15.29/4.04 | (601) ~ (all_0_131_131 = e23)
% 15.29/4.04 | (443) all_0_132_132 = e23
% 15.29/4.04 |
% 15.29/4.04 | Equations (443) can reduce 92 to:
% 15.29/4.04 | (601) ~ (all_0_131_131 = e23)
% 15.29/4.04 |
% 15.29/4.04 +-Applying beta-rule and splitting (2256), into two cases.
% 15.29/4.04 |-Branch one:
% 15.29/4.04 | (715) all_0_131_131 = e22
% 15.29/4.04 |
% 15.29/4.04 | Equations (715) can reduce 601 to:
% 15.29/4.04 | (565) ~ (e23 = e22)
% 15.29/4.04 |
% 15.29/4.04 | Simplifying 565 yields:
% 15.29/4.04 | (179) ~ (e23 = e22)
% 15.29/4.04 |
% 15.29/4.04 +-Applying beta-rule and splitting (171), into two cases.
% 15.29/4.04 |-Branch one:
% 15.29/4.04 | (429) (all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)) | (all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20)) | (all_0_127_127 = e21 & all_0_136_136 = e20 & ~ (all_0_128_128 = e22)) | (all_0_127_127 = e20 & all_0_133_133 = e21 & ~ (all_0_132_132 = e20)) | (all_0_128_128 = e22 & ~ (all_0_125_125 = e23) & ~ (all_0_127_127 = e21)) | (all_0_132_132 = e22 & all_0_135_135 = e20 & ~ (all_0_131_131 = e21))
% 15.29/4.04 |
% 15.29/4.04 +-Applying beta-rule and splitting (429), into two cases.
% 15.29/4.04 |-Branch one:
% 15.29/4.04 | (430) (all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)) | (all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20)) | (all_0_127_127 = e21 & all_0_136_136 = e20 & ~ (all_0_128_128 = e22)) | (all_0_127_127 = e20 & all_0_133_133 = e21 & ~ (all_0_132_132 = e20)) | (all_0_128_128 = e22 & ~ (all_0_125_125 = e23) & ~ (all_0_127_127 = e21))
% 15.29/4.04 |
% 15.29/4.04 +-Applying beta-rule and splitting (430), into two cases.
% 15.29/4.04 |-Branch one:
% 15.29/4.04 | (431) (all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)) | (all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20)) | (all_0_127_127 = e21 & all_0_136_136 = e20 & ~ (all_0_128_128 = e22)) | (all_0_127_127 = e20 & all_0_133_133 = e21 & ~ (all_0_132_132 = e20))
% 15.29/4.04 |
% 15.29/4.04 +-Applying beta-rule and splitting (431), into two cases.
% 15.29/4.04 |-Branch one:
% 15.29/4.04 | (432) (all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)) | (all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20)) | (all_0_127_127 = e21 & all_0_136_136 = e20 & ~ (all_0_128_128 = e22))
% 15.29/4.04 |
% 15.29/4.04 +-Applying beta-rule and splitting (432), into two cases.
% 15.29/4.04 |-Branch one:
% 15.29/4.04 | (433) (all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)) | (all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20))
% 15.29/4.04 |
% 15.29/4.04 +-Applying beta-rule and splitting (433), into two cases.
% 15.29/4.04 |-Branch one:
% 15.29/4.04 | (434) (all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23))
% 15.29/4.04 |
% 15.29/4.04 +-Applying beta-rule and splitting (434), into two cases.
% 15.29/4.04 |-Branch one:
% 15.29/4.04 | (435) all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)
% 15.29/4.04 |
% 15.29/4.04 | Applying alpha-rule on (435) yields:
% 15.29/4.04 | (436) all_0_124_124 = e23
% 15.29/4.04 | (437) all_0_132_132 = e22
% 15.29/4.04 | (398) ~ (all_0_131_131 = e21)
% 15.29/4.04 |
% 15.29/4.04 | Combining equations (443,437) yields a new equation:
% 15.29/4.04 | (588) e23 = e22
% 15.29/4.04 |
% 15.29/4.04 | Simplifying 588 yields:
% 15.29/4.04 | (589) e23 = e22
% 15.29/4.04 |
% 15.29/4.04 | Equations (589) can reduce 179 to:
% 15.29/4.04 | (394) $false
% 15.29/4.04 |
% 15.29/4.04 |-The branch is then unsatisfiable
% 15.29/4.04 |-Branch two:
% 15.29/4.04 | (441) all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)
% 15.29/4.04 |
% 15.29/4.04 | Applying alpha-rule on (441) yields:
% 15.29/4.04 | (442) all_0_126_126 = e22
% 15.29/4.04 | (443) all_0_132_132 = e23
% 15.29/4.04 | (444) ~ (all_0_127_127 = e23)
% 15.29/4.04 |
% 15.29/4.04 | Combining equations (442,595) yields a new equation:
% 15.29/4.04 | (589) e23 = e22
% 15.29/4.04 |
% 15.29/4.04 | Equations (589) can reduce 179 to:
% 15.29/4.04 | (394) $false
% 15.29/4.04 |
% 15.29/4.04 |-The branch is then unsatisfiable
% 15.29/4.04 |-Branch two:
% 15.29/4.04 | (446) all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20)
% 15.29/4.04 |
% 15.29/4.04 | Applying alpha-rule on (446) yields:
% 15.29/4.04 | (442) all_0_126_126 = e22
% 15.29/4.04 | (444) ~ (all_0_127_127 = e23)
% 15.29/4.04 | (449) ~ (all_0_134_134 = e20)
% 15.29/4.04 |
% 15.29/4.04 | Combining equations (595,442) yields a new equation:
% 15.29/4.04 | (588) e23 = e22
% 15.29/4.04 |
% 15.29/4.04 | Simplifying 588 yields:
% 15.29/4.04 | (589) e23 = e22
% 15.29/4.04 |
% 15.29/4.04 | Equations (589) can reduce 179 to:
% 15.29/4.04 | (394) $false
% 15.29/4.04 |
% 15.29/4.04 |-The branch is then unsatisfiable
% 15.29/4.04 |-Branch two:
% 15.29/4.04 | (451) all_0_127_127 = e21 & all_0_136_136 = e20 & ~ (all_0_128_128 = e22)
% 15.29/4.04 |
% 15.29/4.04 | Applying alpha-rule on (451) yields:
% 15.29/4.04 | (452) all_0_127_127 = e21
% 15.29/4.04 | (453) all_0_136_136 = e20
% 15.29/4.04 | (454) ~ (all_0_128_128 = e22)
% 15.29/4.04 |
% 15.29/4.04 | Combining equations (453,723) yields a new equation:
% 15.29/4.04 | (637) e21 = e20
% 15.29/4.04 |
% 15.29/4.04 | Equations (637) can reduce 151 to:
% 15.29/4.04 | (394) $false
% 15.29/4.04 |
% 15.29/4.04 |-The branch is then unsatisfiable
% 15.29/4.04 |-Branch two:
% 15.29/4.04 | (456) all_0_127_127 = e20 & all_0_133_133 = e21 & ~ (all_0_132_132 = e20)
% 15.29/4.04 |
% 15.29/4.04 | Applying alpha-rule on (456) yields:
% 15.29/4.04 | (457) all_0_127_127 = e20
% 15.29/4.04 | (396) all_0_133_133 = e21
% 15.29/4.04 | (459) ~ (all_0_132_132 = e20)
% 15.29/4.04 |
% 15.29/4.04 | Combining equations (452,457) yields a new equation:
% 15.29/4.04 | (655) e21 = e20
% 15.29/4.04 |
% 15.29/4.04 | Simplifying 655 yields:
% 15.29/4.04 | (637) e21 = e20
% 15.29/4.04 |
% 15.29/4.04 | Equations (637) can reduce 151 to:
% 15.29/4.04 | (394) $false
% 15.29/4.04 |
% 15.29/4.04 |-The branch is then unsatisfiable
% 15.29/4.04 |-Branch two:
% 15.29/4.04 | (461) all_0_128_128 = e22 & ~ (all_0_125_125 = e23) & ~ (all_0_127_127 = e21)
% 15.29/4.04 |
% 15.29/4.04 | Applying alpha-rule on (461) yields:
% 15.29/4.04 | (462) all_0_128_128 = e22
% 15.29/4.04 | (463) ~ (all_0_125_125 = e23)
% 15.29/4.04 | (464) ~ (all_0_127_127 = e21)
% 15.29/4.04 |
% 15.29/4.04 | Equations (452) can reduce 464 to:
% 15.29/4.04 | (394) $false
% 15.29/4.04 |
% 15.29/4.04 |-The branch is then unsatisfiable
% 15.29/4.04 |-Branch two:
% 15.29/4.04 | (466) all_0_132_132 = e22 & all_0_135_135 = e20 & ~ (all_0_131_131 = e21)
% 15.29/4.04 |
% 15.29/4.04 | Applying alpha-rule on (466) yields:
% 15.29/4.04 | (437) all_0_132_132 = e22
% 15.29/4.04 | (468) all_0_135_135 = e20
% 15.29/4.04 | (398) ~ (all_0_131_131 = e21)
% 15.29/4.04 |
% 15.29/4.04 | Combining equations (443,437) yields a new equation:
% 15.29/4.04 | (588) e23 = e22
% 15.29/4.04 |
% 15.29/4.04 | Simplifying 588 yields:
% 15.29/4.04 | (589) e23 = e22
% 15.29/4.04 |
% 15.29/4.04 | Equations (589) can reduce 179 to:
% 15.29/4.04 | (394) $false
% 15.29/4.04 |
% 15.29/4.04 |-The branch is then unsatisfiable
% 15.29/4.04 |-Branch two:
% 15.29/4.04 | (471) all_0_136_136 = e20 & ~ (all_0_125_125 = e23)
% 15.29/4.04 |
% 15.29/4.04 | Applying alpha-rule on (471) yields:
% 15.29/4.04 | (453) all_0_136_136 = e20
% 15.29/4.04 | (463) ~ (all_0_125_125 = e23)
% 15.29/4.04 |
% 15.29/4.04 | Combining equations (723,453) yields a new equation:
% 15.29/4.04 | (655) e21 = e20
% 15.29/4.04 |
% 15.29/4.04 | Simplifying 655 yields:
% 15.29/4.04 | (637) e21 = e20
% 15.29/4.04 |
% 15.29/4.04 | Equations (637) can reduce 151 to:
% 15.29/4.04 | (394) $false
% 15.29/4.04 |
% 15.29/4.04 |-The branch is then unsatisfiable
% 15.29/4.04 |-Branch two:
% 15.29/4.04 | (719) ~ (all_0_131_131 = e22)
% 15.29/4.04 | (2323) all_0_131_131 = e23 | all_0_131_131 = e21
% 15.29/4.04 |
% 15.29/4.04 +-Applying beta-rule and splitting (2323), into two cases.
% 15.29/4.04 |-Branch one:
% 15.29/4.04 | (2324) all_0_131_131 = e21
% 15.29/4.04 |
% 15.29/4.04 | Equations (2324) can reduce 398 to:
% 15.29/4.04 | (394) $false
% 15.29/4.04 |
% 15.29/4.04 |-The branch is then unsatisfiable
% 15.29/4.04 |-Branch two:
% 15.29/4.04 | (398) ~ (all_0_131_131 = e21)
% 15.29/4.04 | (597) all_0_131_131 = e23
% 15.29/4.04 |
% 15.29/4.04 | Equations (597) can reduce 601 to:
% 15.29/4.04 | (394) $false
% 15.29/4.04 |
% 15.29/4.04 |-The branch is then unsatisfiable
% 15.29/4.04 |-Branch two:
% 15.29/4.04 | (464) ~ (all_0_127_127 = e21)
% 15.29/4.04 | (582) all_0_128_128 = e21 | all_0_129_129 = e21
% 15.29/4.04 |
% 15.29/4.04 +-Applying beta-rule and splitting (582), into two cases.
% 15.29/4.04 |-Branch one:
% 15.29/4.04 | (583) all_0_128_128 = e21
% 15.29/4.04 |
% 15.29/4.04 | Combining equations (462,583) yields a new equation:
% 15.29/4.04 | (553) e22 = e21
% 15.29/4.04 |
% 15.29/4.04 | Simplifying 553 yields:
% 15.29/4.04 | (554) e22 = e21
% 15.29/4.04 |
% 15.29/4.04 | Equations (554) can reduce 310 to:
% 15.29/4.04 | (394) $false
% 15.29/4.04 |
% 15.29/4.04 |-The branch is then unsatisfiable
% 15.29/4.04 |-Branch two:
% 15.29/4.04 | (668) ~ (all_0_128_128 = e21)
% 15.29/4.04 | (673) all_0_129_129 = e21
% 15.29/4.04 |
% 15.29/4.04 | Combining equations (386,673) yields a new equation:
% 15.29/4.04 | (637) e21 = e20
% 15.29/4.04 |
% 15.29/4.04 | Equations (637) can reduce 151 to:
% 15.29/4.04 | (394) $false
% 15.29/4.04 |
% 15.29/4.04 |-The branch is then unsatisfiable
% 15.29/4.04 |-Branch two:
% 15.29/4.04 | (415) ~ (all_0_135_135 = e20)
% 15.29/4.04 | (453) all_0_136_136 = e20
% 15.29/4.04 |
% 15.29/4.04 | Combining equations (723,453) yields a new equation:
% 15.29/4.04 | (655) e21 = e20
% 15.29/4.04 |
% 15.29/4.04 | Simplifying 655 yields:
% 15.29/4.04 | (637) e21 = e20
% 15.29/4.04 |
% 15.29/4.04 | Equations (637) can reduce 151 to:
% 15.29/4.04 | (394) $false
% 15.29/4.04 |
% 15.29/4.04 |-The branch is then unsatisfiable
% 15.29/4.04 |-Branch two:
% 15.29/4.04 | (454) ~ (all_0_128_128 = e22)
% 15.29/4.04 | (824) all_0_132_132 = e22 | all_0_136_136 = e22
% 15.29/4.04 |
% 15.29/4.04 +-Applying beta-rule and splitting (824), into two cases.
% 15.29/4.04 |-Branch one:
% 15.29/4.04 | (437) all_0_132_132 = e22
% 15.29/4.04 |
% 15.29/4.04 | Equations (437) can reduce 559 to:
% 15.29/4.04 | (394) $false
% 15.29/4.04 |
% 15.29/4.04 |-The branch is then unsatisfiable
% 15.29/4.04 |-Branch two:
% 15.29/4.04 | (559) ~ (all_0_132_132 = e22)
% 15.29/4.05 | (557) all_0_136_136 = e22
% 15.29/4.05 |
% 15.29/4.05 | Equations (557) can reduce 2169 to:
% 15.29/4.05 | (394) $false
% 15.29/4.05 |
% 15.29/4.05 |-The branch is then unsatisfiable
% 15.29/4.05 |-Branch two:
% 15.29/4.05 | (437) all_0_132_132 = e22
% 15.29/4.05 | (2324) all_0_131_131 = e21
% 15.29/4.05 |
% 15.29/4.05 | Equations (2324) can reduce 398 to:
% 15.29/4.05 | (394) $false
% 15.29/4.05 |
% 15.29/4.05 |-The branch is then unsatisfiable
% 15.29/4.05 |-Branch two:
% 15.29/4.05 | (2354) all_0_104_104 = e23 & all_0_105_105 = e22 & all_0_106_106 = e21 & all_0_107_107 = e20 & all_0_125_125 = e23 & ( ~ (all_0_127_127 = e21) | all_0_128_128 = e22)
% 15.29/4.05 |
% 15.29/4.05 | Applying alpha-rule on (2354) yields:
% 15.29/4.05 | (2355) all_0_104_104 = e23
% 15.29/4.05 | (2356) all_0_107_107 = e20
% 15.29/4.05 | (2357) all_0_105_105 = e22
% 15.29/4.05 | (419) all_0_125_125 = e23
% 15.29/4.05 | (2359) all_0_106_106 = e21
% 15.29/4.05 | (2360) ~ (all_0_127_127 = e21) | all_0_128_128 = e22
% 15.29/4.05 |
% 15.29/4.05 | Combining equations (2356,403) yields a new equation:
% 15.29/4.05 | (2156) all_0_132_132 = e20
% 15.29/4.05 |
% 15.29/4.05 | Equations (2156) can reduce 459 to:
% 15.29/4.05 | (394) $false
% 15.29/4.05 |
% 15.29/4.05 |-The branch is then unsatisfiable
% 15.29/4.05 |-Branch two:
% 15.29/4.05 | (2363) all_0_108_108 = e23 & all_0_109_109 = e22 & all_0_110_110 = e21 & all_0_134_134 = e20 & ~ (all_0_127_127 = e20) & ( ~ (all_0_132_132 = e20) | all_0_133_133 = e21)
% 15.29/4.05 |
% 15.29/4.05 | Applying alpha-rule on (2363) yields:
% 15.29/4.05 | (2364) ~ (all_0_132_132 = e20) | all_0_133_133 = e21
% 15.29/4.05 | (2365) all_0_108_108 = e23
% 15.29/4.05 | (2366) all_0_109_109 = e22
% 15.29/4.05 | (404) all_0_134_134 = e20
% 15.29/4.05 | (413) ~ (all_0_127_127 = e20)
% 15.29/4.05 | (2369) all_0_110_110 = e21
% 15.29/4.05 |
% 15.29/4.05 | Combining equations (404,547) yields a new equation:
% 15.29/4.05 | (548) e22 = e20
% 15.29/4.05 |
% 15.29/4.05 | Equations (548) can reduce 238 to:
% 15.29/4.05 | (394) $false
% 15.29/4.05 |
% 15.29/4.05 |-The branch is then unsatisfiable
% 15.29/4.05 |-Branch two:
% 15.29/4.05 | (663) ~ (all_0_126_126 = e23)
% 15.29/4.05 | (587) all_0_130_130 = e23
% 15.29/4.05 |
% 15.29/4.05 | Combining equations (494,587) yields a new equation:
% 15.29/4.05 | (424) e23 = e20
% 15.29/4.05 |
% 15.29/4.05 | Equations (424) can reduce 235 to:
% 15.29/4.05 | (394) $false
% 15.29/4.05 |
% 15.29/4.05 |-The branch is then unsatisfiable
% 15.29/4.05 |-Branch two:
% 15.29/4.05 | (406) ~ (all_0_130_130 = e20)
% 15.29/4.05 | (404) all_0_134_134 = e20
% 15.29/4.05 |
% 15.29/4.05 | Combining equations (404,547) yields a new equation:
% 15.29/4.05 | (548) e22 = e20
% 15.29/4.05 |
% 15.29/4.05 | Equations (548) can reduce 238 to:
% 15.29/4.05 | (394) $false
% 15.29/4.05 |
% 15.29/4.05 |-The branch is then unsatisfiable
% 15.29/4.05 |-Branch two:
% 15.29/4.05 | (2380) ~ (all_0_129_129 = e20)
% 15.29/4.05 | (393) all_0_133_133 = e20
% 15.29/4.05 |
% 15.29/4.05 | Equations (393) can reduce 271 to:
% 15.29/4.05 | (391) ~ (e23 = e20)
% 15.29/4.05 |
% 15.29/4.05 | Simplifying 391 yields:
% 15.29/4.05 | (235) ~ (e23 = e20)
% 15.29/4.05 |
% 15.29/4.05 +-Applying beta-rule and splitting (248), into two cases.
% 15.29/4.05 |-Branch one:
% 15.29/4.05 | (673) all_0_129_129 = e21
% 15.29/4.05 |
% 15.29/4.05 | Equations (673) can reduce 289 to:
% 15.29/4.05 | (464) ~ (all_0_127_127 = e21)
% 15.29/4.05 |
% 15.29/4.05 | From (673) and (377) follows:
% 15.29/4.05 | (2386) op2(e22, e21) = all_0_103_103
% 15.29/4.05 |
% 15.29/4.05 | Instantiating formula (94) with e22, e21, all_0_103_103, all_0_128_128 and discharging atoms op2(e22, e21) = all_0_103_103, op2(e22, e21) = all_0_128_128, yields:
% 15.29/4.05 | (2387) all_0_103_103 = all_0_128_128
% 15.29/4.05 |
% 15.29/4.05 +-Applying beta-rule and splitting (217), into two cases.
% 15.29/4.05 |-Branch one:
% 15.29/4.05 | (409) all_0_124_124 = e20
% 15.29/4.05 |
% 15.29/4.05 | Equations (409) can reduce 323 to:
% 15.29/4.05 | (410) ~ (all_0_125_125 = e20)
% 15.29/4.05 |
% 15.29/4.05 | Simplifying 410 yields:
% 15.29/4.05 | (411) ~ (all_0_125_125 = e20)
% 15.29/4.05 |
% 15.29/4.05 | Equations (409) can reduce 296 to:
% 15.29/4.05 | (414) ~ (all_0_135_135 = e20)
% 15.29/4.05 |
% 15.29/4.05 | Simplifying 414 yields:
% 15.29/4.05 | (415) ~ (all_0_135_135 = e20)
% 15.29/4.05 |
% 15.29/4.05 | Equations (409) can reduce 26 to:
% 15.29/4.05 | (492) ~ (e21 = e20)
% 15.29/4.05 |
% 15.29/4.05 | Simplifying 492 yields:
% 15.29/4.05 | (151) ~ (e21 = e20)
% 15.29/4.05 |
% 15.29/4.05 +-Applying beta-rule and splitting (129), into two cases.
% 15.29/4.05 |-Branch one:
% 15.29/4.05 | (436) all_0_124_124 = e23
% 15.29/4.05 |
% 15.29/4.05 | Combining equations (436,409) yields a new equation:
% 15.29/4.05 | (598) e23 = e20
% 15.29/4.05 |
% 15.29/4.05 | Simplifying 598 yields:
% 15.29/4.05 | (424) e23 = e20
% 15.29/4.05 |
% 15.29/4.05 | Equations (424) can reduce 235 to:
% 15.29/4.05 | (394) $false
% 15.29/4.05 |
% 15.29/4.05 |-The branch is then unsatisfiable
% 15.29/4.05 |-Branch two:
% 15.29/4.05 | (2399) ~ (all_0_124_124 = e23)
% 15.29/4.05 | (419) all_0_125_125 = e23
% 15.29/4.05 |
% 15.29/4.05 | Equations (419) can reduce 194 to:
% 15.29/4.05 | (420) ~ (all_0_132_132 = e23)
% 15.29/4.05 |
% 15.29/4.05 | Simplifying 420 yields:
% 15.29/4.05 | (421) ~ (all_0_132_132 = e23)
% 15.29/4.05 |
% 15.29/4.05 | Equations (419) can reduce 411 to:
% 15.29/4.05 | (235) ~ (e23 = e20)
% 15.29/4.05 |
% 15.29/4.05 +-Applying beta-rule and splitting (171), into two cases.
% 15.29/4.05 |-Branch one:
% 15.29/4.05 | (429) (all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)) | (all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20)) | (all_0_127_127 = e21 & all_0_136_136 = e20 & ~ (all_0_128_128 = e22)) | (all_0_127_127 = e20 & all_0_133_133 = e21 & ~ (all_0_132_132 = e20)) | (all_0_128_128 = e22 & ~ (all_0_125_125 = e23) & ~ (all_0_127_127 = e21)) | (all_0_132_132 = e22 & all_0_135_135 = e20 & ~ (all_0_131_131 = e21))
% 15.29/4.05 |
% 15.29/4.05 +-Applying beta-rule and splitting (429), into two cases.
% 15.29/4.05 |-Branch one:
% 15.29/4.05 | (430) (all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)) | (all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20)) | (all_0_127_127 = e21 & all_0_136_136 = e20 & ~ (all_0_128_128 = e22)) | (all_0_127_127 = e20 & all_0_133_133 = e21 & ~ (all_0_132_132 = e20)) | (all_0_128_128 = e22 & ~ (all_0_125_125 = e23) & ~ (all_0_127_127 = e21))
% 15.29/4.05 |
% 15.29/4.05 +-Applying beta-rule and splitting (430), into two cases.
% 15.29/4.05 |-Branch one:
% 15.29/4.05 | (431) (all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)) | (all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20)) | (all_0_127_127 = e21 & all_0_136_136 = e20 & ~ (all_0_128_128 = e22)) | (all_0_127_127 = e20 & all_0_133_133 = e21 & ~ (all_0_132_132 = e20))
% 15.29/4.05 |
% 15.29/4.05 +-Applying beta-rule and splitting (431), into two cases.
% 15.29/4.05 |-Branch one:
% 15.29/4.05 | (432) (all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)) | (all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20)) | (all_0_127_127 = e21 & all_0_136_136 = e20 & ~ (all_0_128_128 = e22))
% 15.29/4.05 |
% 15.29/4.05 +-Applying beta-rule and splitting (432), into two cases.
% 15.29/4.05 |-Branch one:
% 15.29/4.05 | (433) (all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)) | (all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20))
% 15.29/4.05 |
% 15.29/4.05 +-Applying beta-rule and splitting (433), into two cases.
% 15.29/4.05 |-Branch one:
% 15.29/4.05 | (434) (all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)) | (all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23))
% 15.29/4.05 |
% 15.29/4.05 +-Applying beta-rule and splitting (434), into two cases.
% 15.29/4.05 |-Branch one:
% 15.29/4.05 | (435) all_0_124_124 = e23 & all_0_132_132 = e22 & ~ (all_0_131_131 = e21)
% 15.29/4.05 |
% 15.29/4.05 | Applying alpha-rule on (435) yields:
% 15.29/4.05 | (436) all_0_124_124 = e23
% 15.29/4.05 | (437) all_0_132_132 = e22
% 15.29/4.05 | (398) ~ (all_0_131_131 = e21)
% 15.29/4.05 |
% 15.29/4.05 | Combining equations (436,409) yields a new equation:
% 15.29/4.05 | (598) e23 = e20
% 15.29/4.05 |
% 15.29/4.05 | Simplifying 598 yields:
% 15.29/4.05 | (424) e23 = e20
% 15.29/4.05 |
% 15.29/4.05 | Equations (424) can reduce 235 to:
% 15.29/4.05 | (394) $false
% 15.29/4.05 |
% 15.29/4.05 |-The branch is then unsatisfiable
% 15.29/4.05 |-Branch two:
% 15.29/4.05 | (441) all_0_126_126 = e22 & all_0_132_132 = e23 & ~ (all_0_127_127 = e23)
% 15.29/4.05 |
% 15.29/4.05 | Applying alpha-rule on (441) yields:
% 15.29/4.05 | (442) all_0_126_126 = e22
% 15.29/4.05 | (443) all_0_132_132 = e23
% 15.29/4.05 | (444) ~ (all_0_127_127 = e23)
% 15.29/4.05 |
% 15.29/4.05 | Equations (443) can reduce 421 to:
% 15.29/4.05 | (394) $false
% 15.29/4.05 |
% 15.29/4.05 |-The branch is then unsatisfiable
% 15.29/4.05 |-Branch two:
% 15.29/4.05 | (446) all_0_126_126 = e22 & ~ (all_0_127_127 = e23) & ~ (all_0_134_134 = e20)
% 15.29/4.05 |
% 15.29/4.05 | Applying alpha-rule on (446) yields:
% 15.29/4.05 | (442) all_0_126_126 = e22
% 15.29/4.05 | (444) ~ (all_0_127_127 = e23)
% 15.29/4.05 | (449) ~ (all_0_134_134 = e20)
% 15.29/4.05 |
% 15.29/4.05 | Equations (442) can reduce 110 to:
% 15.29/4.05 | (2426) ~ (all_0_134_134 = e22)
% 15.29/4.05 |
% 15.29/4.05 | Simplifying 2426 yields:
% 15.29/4.05 | (550) ~ (all_0_134_134 = e22)
% 15.29/4.05 |
% 15.29/4.05 +-Applying beta-rule and splitting (285), into two cases.
% 15.29/4.05 |-Branch one:
% 15.29/4.05 | (404) all_0_134_134 = e20
% 15.29/4.05 |
% 15.29/4.05 | Equations (404) can reduce 449 to:
% 15.29/4.05 | (394) $false
% 15.29/4.05 |
% 15.29/4.05 |-The branch is then unsatisfiable
% 15.29/4.05 |-Branch two:
% 15.29/4.05 | (449) ~ (all_0_134_134 = e20)
% 15.29/4.05 | (547) all_0_134_134 = e22
% 15.29/4.05 |
% 15.29/4.05 | Equations (547) can reduce 550 to:
% 15.29/4.05 | (394) $false
% 15.29/4.05 |
% 15.29/4.05 |-The branch is then unsatisfiable
% 15.29/4.05 |-Branch two:
% 15.29/4.05 | (451) all_0_127_127 = e21 & all_0_136_136 = e20 & ~ (all_0_128_128 = e22)
% 15.29/4.05 |
% 15.29/4.05 | Applying alpha-rule on (451) yields:
% 15.29/4.05 | (452) all_0_127_127 = e21
% 15.29/4.05 | (453) all_0_136_136 = e20
% 15.29/4.05 | (454) ~ (all_0_128_128 = e22)
% 15.29/4.05 |
% 15.29/4.05 | Equations (452) can reduce 464 to:
% 15.29/4.05 | (394) $false
% 15.29/4.05 |
% 15.29/4.05 |-The branch is then unsatisfiable
% 15.29/4.05 |-Branch two:
% 15.29/4.05 | (456) all_0_127_127 = e20 & all_0_133_133 = e21 & ~ (all_0_132_132 = e20)
% 15.29/4.05 |
% 15.29/4.05 | Applying alpha-rule on (456) yields:
% 15.29/4.05 | (457) all_0_127_127 = e20
% 15.29/4.05 | (396) all_0_133_133 = e21
% 15.29/4.05 | (459) ~ (all_0_132_132 = e20)
% 15.29/4.05 |
% 15.29/4.05 | Combining equations (396,393) yields a new equation:
% 15.29/4.05 | (655) e21 = e20
% 15.29/4.05 |
% 15.29/4.05 | Simplifying 655 yields:
% 15.29/4.05 | (637) e21 = e20
% 15.29/4.05 |
% 15.29/4.05 | Equations (637) can reduce 151 to:
% 15.29/4.05 | (394) $false
% 15.29/4.05 |
% 15.29/4.05 |-The branch is then unsatisfiable
% 15.29/4.05 |-Branch two:
% 15.29/4.05 | (461) all_0_128_128 = e22 & ~ (all_0_125_125 = e23) & ~ (all_0_127_127 = e21)
% 15.29/4.05 |
% 15.29/4.05 | Applying alpha-rule on (461) yields:
% 15.29/4.05 | (462) all_0_128_128 = e22
% 15.29/4.05 | (463) ~ (all_0_125_125 = e23)
% 15.29/4.05 | (464) ~ (all_0_127_127 = e21)
% 15.29/4.05 |
% 15.29/4.05 | Equations (419) can reduce 463 to:
% 15.29/4.05 | (394) $false
% 15.29/4.05 |
% 15.29/4.05 |-The branch is then unsatisfiable
% 15.29/4.05 |-Branch two:
% 15.29/4.05 | (466) all_0_132_132 = e22 & all_0_135_135 = e20 & ~ (all_0_131_131 = e21)
% 15.29/4.05 |
% 15.29/4.05 | Applying alpha-rule on (466) yields:
% 15.29/4.05 | (437) all_0_132_132 = e22
% 15.29/4.05 | (468) all_0_135_135 = e20
% 15.29/4.05 | (398) ~ (all_0_131_131 = e21)
% 15.29/4.05 |
% 15.29/4.05 | Equations (468) can reduce 415 to:
% 15.29/4.05 | (394) $false
% 15.29/4.05 |
% 15.29/4.05 |-The branch is then unsatisfiable
% 15.29/4.05 |-Branch two:
% 15.29/4.05 | (471) all_0_136_136 = e20 & ~ (all_0_125_125 = e23)
% 15.29/4.05 |
% 15.29/4.05 | Applying alpha-rule on (471) yields:
% 15.29/4.05 | (453) all_0_136_136 = e20
% 15.29/4.05 | (463) ~ (all_0_125_125 = e23)
% 15.29/4.05 |
% 15.29/4.05 | Equations (419) can reduce 463 to:
% 15.29/4.05 | (394) $false
% 15.29/4.05 |
% 15.29/4.05 |-The branch is then unsatisfiable
% 15.29/4.05 |-Branch two:
% 15.29/4.05 | (475) ~ (all_0_124_124 = e20)
% 15.29/4.05 | (416) all_0_125_125 = e20
% 15.29/4.05 |
% 15.29/4.05 | Equations (416) can reduce 323 to:
% 15.29/4.05 | (475) ~ (all_0_124_124 = e20)
% 15.29/4.05 |
% 15.29/4.05 | Equations (416) can reduce 278 to:
% 15.29/4.05 | (484) ~ (all_0_128_128 = e20)
% 15.29/4.05 |
% 15.29/4.05 | Simplifying 484 yields:
% 15.29/4.05 | (388) ~ (all_0_128_128 = e20)
% 15.29/4.05 |
% 15.29/4.05 +-Applying beta-rule and splitting (36), into two cases.
% 15.29/4.05 |-Branch one:
% 15.29/4.05 | (409) all_0_124_124 = e20
% 15.29/4.05 |
% 15.29/4.05 | Equations (409) can reduce 475 to:
% 15.29/4.05 | (394) $false
% 15.29/4.05 |
% 15.29/4.05 |-The branch is then unsatisfiable
% 15.29/4.05 |-Branch two:
% 15.29/4.05 | (475) ~ (all_0_124_124 = e20)
% 15.29/4.05 | (436) all_0_124_124 = e23
% 15.29/4.05 |
% 15.29/4.05 | Equations (436) can reduce 475 to:
% 15.29/4.05 | (235) ~ (e23 = e20)
% 15.29/4.05 |
% 15.29/4.05 +-Applying beta-rule and splitting (291), into two cases.
% 15.29/4.05 |-Branch one:
% 15.29/4.05 | (2184) (all_0_98_98 = e22 & all_0_99_99 = e21 & all_0_124_124 = e20 & all_0_125_125 = e23 & all_0_134_134 = e20 & ~ (all_0_132_132 = e23) & ( ~ (all_0_127_127 = e23) | all_0_126_126 = e22)) | (all_0_100_100 = e23 & all_0_101_101 = e22 & all_0_102_102 = e21 & all_0_103_103 = e20 & ( ~ (all_0_132_132 = e22) | all_0_131_131 = e21)) | (all_0_104_104 = e23 & all_0_105_105 = e22 & all_0_106_106 = e21 & all_0_107_107 = e20 & all_0_125_125 = e23 & ( ~ (all_0_127_127 = e21) | all_0_128_128 = e22))
% 15.29/4.05 |
% 15.29/4.05 +-Applying beta-rule and splitting (2184), into two cases.
% 15.29/4.05 |-Branch one:
% 15.29/4.05 | (2185) (all_0_98_98 = e22 & all_0_99_99 = e21 & all_0_124_124 = e20 & all_0_125_125 = e23 & all_0_134_134 = e20 & ~ (all_0_132_132 = e23) & ( ~ (all_0_127_127 = e23) | all_0_126_126 = e22)) | (all_0_100_100 = e23 & all_0_101_101 = e22 & all_0_102_102 = e21 & all_0_103_103 = e20 & ( ~ (all_0_132_132 = e22) | all_0_131_131 = e21))
% 15.29/4.05 |
% 15.29/4.05 +-Applying beta-rule and splitting (2185), into two cases.
% 15.29/4.05 |-Branch one:
% 15.29/4.05 | (2186) all_0_98_98 = e22 & all_0_99_99 = e21 & all_0_124_124 = e20 & all_0_125_125 = e23 & all_0_134_134 = e20 & ~ (all_0_132_132 = e23) & ( ~ (all_0_127_127 = e23) | all_0_126_126 = e22)
% 15.29/4.05 |
% 15.29/4.06 | Applying alpha-rule on (2186) yields:
% 15.29/4.06 | (2187) ~ (all_0_127_127 = e23) | all_0_126_126 = e22
% 15.29/4.06 | (421) ~ (all_0_132_132 = e23)
% 15.29/4.06 | (409) all_0_124_124 = e20
% 15.29/4.06 | (419) all_0_125_125 = e23
% 15.29/4.06 | (2191) all_0_98_98 = e22
% 15.29/4.06 | (404) all_0_134_134 = e20
% 15.29/4.06 | (2193) all_0_99_99 = e21
% 15.29/4.06 |
% 15.29/4.06 | Combining equations (419,416) yields a new equation:
% 15.29/4.06 | (598) e23 = e20
% 15.29/4.06 |
% 15.29/4.06 | Simplifying 598 yields:
% 15.29/4.06 | (424) e23 = e20
% 15.29/4.06 |
% 15.29/4.06 | Equations (424) can reduce 235 to:
% 15.29/4.06 | (394) $false
% 15.29/4.06 |
% 15.29/4.06 |-The branch is then unsatisfiable
% 15.29/4.06 |-Branch two:
% 15.29/4.06 | (2197) all_0_100_100 = e23 & all_0_101_101 = e22 & all_0_102_102 = e21 & all_0_103_103 = e20 & ( ~ (all_0_132_132 = e22) | all_0_131_131 = e21)
% 15.29/4.06 |
% 15.29/4.06 | Applying alpha-rule on (2197) yields:
% 15.29/4.06 | (2198) all_0_100_100 = e23
% 15.29/4.06 | (2199) ~ (all_0_132_132 = e22) | all_0_131_131 = e21
% 15.29/4.06 | (2200) all_0_103_103 = e20
% 15.29/4.06 | (2201) all_0_102_102 = e21
% 15.29/4.06 | (2202) all_0_101_101 = e22
% 15.29/4.06 |
% 15.29/4.06 | Combining equations (2387,2200) yields a new equation:
% 15.29/4.06 | (2488) all_0_128_128 = e20
% 15.29/4.06 |
% 15.29/4.06 | Simplifying 2488 yields:
% 15.29/4.06 | (2489) all_0_128_128 = e20
% 15.29/4.06 |
% 15.29/4.06 | Equations (2489) can reduce 388 to:
% 15.29/4.06 | (394) $false
% 15.29/4.06 |
% 15.29/4.06 |-The branch is then unsatisfiable
% 15.29/4.06 |-Branch two:
% 15.29/4.06 | (2354) all_0_104_104 = e23 & all_0_105_105 = e22 & all_0_106_106 = e21 & all_0_107_107 = e20 & all_0_125_125 = e23 & ( ~ (all_0_127_127 = e21) | all_0_128_128 = e22)
% 15.29/4.06 |
% 15.29/4.06 | Applying alpha-rule on (2354) yields:
% 15.29/4.06 | (2355) all_0_104_104 = e23
% 15.29/4.06 | (2356) all_0_107_107 = e20
% 15.29/4.06 | (2357) all_0_105_105 = e22
% 15.29/4.06 | (419) all_0_125_125 = e23
% 15.29/4.06 | (2359) all_0_106_106 = e21
% 15.29/4.06 | (2360) ~ (all_0_127_127 = e21) | all_0_128_128 = e22
% 15.29/4.06 |
% 15.29/4.06 | Combining equations (419,416) yields a new equation:
% 15.29/4.06 | (598) e23 = e20
% 15.29/4.06 |
% 15.29/4.06 | Simplifying 598 yields:
% 15.29/4.06 | (424) e23 = e20
% 15.29/4.06 |
% 15.29/4.06 | Equations (424) can reduce 235 to:
% 15.29/4.06 | (394) $false
% 15.29/4.06 |
% 15.29/4.06 |-The branch is then unsatisfiable
% 15.29/4.06 |-Branch two:
% 15.29/4.06 | (2363) all_0_108_108 = e23 & all_0_109_109 = e22 & all_0_110_110 = e21 & all_0_134_134 = e20 & ~ (all_0_127_127 = e20) & ( ~ (all_0_132_132 = e20) | all_0_133_133 = e21)
% 15.29/4.06 |
% 15.29/4.06 | Applying alpha-rule on (2363) yields:
% 15.29/4.06 | (2364) ~ (all_0_132_132 = e20) | all_0_133_133 = e21
% 15.29/4.06 | (2365) all_0_108_108 = e23
% 15.29/4.06 | (2366) all_0_109_109 = e22
% 15.29/4.06 | (404) all_0_134_134 = e20
% 15.29/4.06 | (413) ~ (all_0_127_127 = e20)
% 15.29/4.06 | (2369) all_0_110_110 = e21
% 15.29/4.06 |
% 15.29/4.06 | Equations (404) can reduce 110 to:
% 15.29/4.06 | (387) ~ (all_0_126_126 = e20)
% 15.29/4.06 |
% 15.29/4.06 | Equations (404) can reduce 276 to:
% 15.29/4.06 | (492) ~ (e21 = e20)
% 15.29/4.06 |
% 15.29/4.06 | Simplifying 492 yields:
% 15.29/4.06 | (151) ~ (e21 = e20)
% 15.29/4.06 |
% 15.29/4.06 +-Applying beta-rule and splitting (141), into two cases.
% 15.29/4.06 |-Branch one:
% 15.29/4.06 | (457) all_0_127_127 = e20
% 15.29/4.06 |
% 15.29/4.06 | Equations (457) can reduce 413 to:
% 15.29/4.06 | (394) $false
% 15.29/4.06 |
% 15.29/4.06 |-The branch is then unsatisfiable
% 15.29/4.06 |-Branch two:
% 15.29/4.06 | (413) ~ (all_0_127_127 = e20)
% 15.29/4.06 | (2514) all_0_127_127 = e23 | all_0_127_127 = e22 | all_0_127_127 = e21
% 15.29/4.06 |
% 15.29/4.06 +-Applying beta-rule and splitting (75), into two cases.
% 15.29/4.06 |-Branch one:
% 15.29/4.06 | (568) all_0_126_126 = e20
% 15.29/4.06 |
% 15.29/4.06 | Equations (568) can reduce 387 to:
% 15.29/4.06 | (394) $false
% 15.29/4.06 |
% 15.29/4.06 |-The branch is then unsatisfiable
% 15.29/4.06 |-Branch two:
% 15.29/4.06 | (387) ~ (all_0_126_126 = e20)
% 15.29/4.06 | (2518) all_0_127_127 = e20 | all_0_128_128 = e20 | all_0_129_129 = e20
% 15.29/4.06 |
% 15.29/4.06 +-Applying beta-rule and splitting (2518), into two cases.
% 15.29/4.06 |-Branch one:
% 15.29/4.06 | (457) all_0_127_127 = e20
% 15.29/4.06 |
% 15.29/4.06 | Equations (457) can reduce 413 to:
% 15.29/4.06 | (394) $false
% 15.29/4.06 |
% 15.29/4.06 |-The branch is then unsatisfiable
% 15.29/4.06 |-Branch two:
% 15.29/4.06 | (413) ~ (all_0_127_127 = e20)
% 15.29/4.06 | (2522) all_0_128_128 = e20 | all_0_129_129 = e20
% 15.29/4.06 |
% 15.29/4.06 +-Applying beta-rule and splitting (2522), into two cases.
% 15.29/4.06 |-Branch one:
% 15.29/4.06 | (2489) all_0_128_128 = e20
% 15.29/4.06 |
% 15.29/4.06 | Equations (2489) can reduce 388 to:
% 15.29/4.06 | (394) $false
% 15.29/4.06 |
% 15.29/4.06 |-The branch is then unsatisfiable
% 15.29/4.06 |-Branch two:
% 15.29/4.06 | (388) ~ (all_0_128_128 = e20)
% 15.29/4.06 | (386) all_0_129_129 = e20
% 15.29/4.06 |
% 15.29/4.06 | Combining equations (673,386) yields a new equation:
% 15.29/4.06 | (655) e21 = e20
% 15.29/4.06 |
% 15.29/4.06 | Simplifying 655 yields:
% 15.29/4.06 | (637) e21 = e20
% 15.29/4.06 |
% 15.29/4.06 | Equations (637) can reduce 151 to:
% 15.29/4.06 | (394) $false
% 15.29/4.06 |
% 15.29/4.06 |-The branch is then unsatisfiable
% 15.29/4.06 |-Branch two:
% 15.29/4.06 | (2530) ~ (all_0_129_129 = e21)
% 15.29/4.06 | (396) all_0_133_133 = e21
% 15.29/4.06 |
% 15.29/4.06 | Combining equations (393,396) yields a new equation:
% 15.29/4.06 | (637) e21 = e20
% 15.29/4.06 |
% 15.29/4.06 | Equations (637) can reduce 151 to:
% 15.29/4.06 | (394) $false
% 15.29/4.06 |
% 15.29/4.06 |-The branch is then unsatisfiable
% 15.29/4.06 % SZS output end Proof for theBenchmark
% 15.29/4.06
% 15.29/4.06 3469ms
%------------------------------------------------------------------------------