TSTP Solution File: ALG108+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG108+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 15:35:10 EDT 2022
% Result : Theorem 6.66s 1.93s
% Output : Proof 14.43s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.08 % Problem : ALG108+1 : TPTP v8.1.0. Released v2.7.0.
% 0.05/0.08 % Command : ePrincess-casc -timeout=%d %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 600
% 0.07/0.27 % DateTime : Thu Jun 9 02:35:07 EDT 2022
% 0.07/0.27 % CPUTime :
% 0.12/0.48 ____ _
% 0.12/0.48 ___ / __ \_____(_)___ ________ __________
% 0.12/0.48 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.12/0.48 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.12/0.48 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.12/0.48
% 0.12/0.48 A Theorem Prover for First-Order Logic
% 0.12/0.48 (ePrincess v.1.0)
% 0.12/0.48
% 0.12/0.48 (c) Philipp Rümmer, 2009-2015
% 0.12/0.48 (c) Peter Backeman, 2014-2015
% 0.12/0.48 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.12/0.48 Free software under GNU Lesser General Public License (LGPL).
% 0.12/0.48 Bug reports to peter@backeman.se
% 0.12/0.48
% 0.12/0.48 For more information, visit http://user.uu.se/~petba168/breu/
% 0.12/0.48
% 0.12/0.48 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.12/0.53 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.25/1.03 Prover 0: Preprocessing ...
% 4.65/1.50 Prover 0: Constructing countermodel ...
% 6.66/1.93 Prover 0: proved (1398ms)
% 6.66/1.93
% 6.66/1.93 No countermodel exists, formula is valid
% 6.66/1.93 % SZS status Theorem for theBenchmark
% 6.66/1.93
% 6.66/1.93 Generating proof ... found it (size 1751)
% 12.87/3.44
% 12.87/3.44 % SZS output start Proof for theBenchmark
% 12.87/3.44 Assumed formulas after preprocessing and simplification:
% 12.87/3.44 | (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] : ( ~ (v25 = v24) & ~ (v25 = v23) & ~ (v25 = v21) & ~ (v25 = v17) & ~ (v25 = v14) & ~ (v25 = e20) & ~ (v24 = v23) & ~ (v24 = v20) & ~ (v24 = v16) & ~ (v24 = v13) & ~ (v24 = e20) & ~ (v23 = v19) & ~ (v23 = v15) & ~ (v23 = e21) & ~ (v23 = e20) & ~ (v22 = v21) & ~ (v22 = v20) & ~ (v22 = v19) & ~ (v22 = v18) & ~ (v22 = e22) & ~ (v22 = e20) & ~ (v21 = v20) & ~ (v21 = v19) & ~ (v21 = v17) & ~ (v21 = v14) & ~ (v20 = v19) & ~ (v20 = v16) & ~ (v20 = v13) & ~ (v19 = v15) & ~ (v19 = e21) & ~ (v18 = v17) & ~ (v18 = v16) & ~ (v18 = v15) & ~ (v18 = e22) & ~ (v18 = e20) & ~ (v17 = v16) & ~ (v17 = v15) & ~ (v17 = v14) & ~ (v16 = v15) & ~ (v16 = v13) & ~ (v15 = e21) & ~ (v14 = v13) & ~ (v14 = e22) & ~ (v14 = e21) & ~ (v13 = e22) & ~ (v13 = e21) & ~ (v12 = v11) & ~ (v12 = v10) & ~ (v12 = v8) & ~ (v12 = v4) & ~ (v12 = v1) & ~ (v12 = e10) & ~ (v11 = v10) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v11 = v0) & ~ (v11 = e10) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v10 = e11) & ~ (v10 = e10) & ~ (v9 = v8) & ~ (v9 = v7) & ~ (v9 = v6) & ~ (v9 = v5) & ~ (v9 = e12) & ~ (v9 = e10) & ~ (v8 = v7) & ~ (v8 = v6) & ~ (v8 = v4) & ~ (v8 = v1) & ~ (v7 = v6) & ~ (v7 = v3) & ~ (v7 = v0) & ~ (v6 = v2) & ~ (v6 = e11) & ~ (v5 = v4) & ~ (v5 = v3) & ~ (v5 = v2) & ~ (v5 = e12) & ~ (v5 = e10) & ~ (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v1) & ~ (v3 = v2) & ~ (v3 = v0) & ~ (v2 = e11) & ~ (v1 = v0) & ~ (v1 = e12) & ~ (v1 = e11) & ~ (v0 = e12) & ~ (v0 = e11) & ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e23 = e13) & ~ (e23 = e12) & ~ (e23 = e11) & ~ (e23 = e10) & ~ (e22 = e21) & ~ (e22 = e20) & ~ (e22 = e13) & ~ (e22 = e12) & ~ (e22 = e11) & ~ (e22 = e10) & ~ (e21 = e20) & ~ (e21 = e13) & ~ (e21 = e12) & ~ (e21 = e11) & ~ (e21 = e10) & ~ (e20 = e13) & ~ (e20 = e12) & ~ (e20 = e11) & ~ (e20 = e10) & ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = e10) & ~ (e11 = e10) & op1(v12, e13) = v36 & op1(v11, e13) = v32 & op1(v10, e13) = v28 & op1(v9, e12) = v38 & op1(v8, e12) = v35 & op1(v7, e12) = v31 & op1(v6, e12) = v27 & op1(v5, e11) = v37 & op1(v4, e11) = v34 & op1(v3, e11) = v30 & op1(v2, e11) = v26 & op1(v1, e10) = v33 & op1(v0, e10) = v29 & op1(e13, e13) = e10 & op1(e13, e12) = v12 & op1(e13, e11) = v11 & op1(e13, e10) = v10 & op1(e12, e13) = v9 & op1(e12, e12) = v8 & op1(e12, e11) = v7 & op1(e12, e10) = v6 & op1(e11, e13) = v5 & op1(e11, e12) = v4 & op1(e11, e11) = v3 & op1(e11, e10) = v2 & op1(e10, e13) = e12 & op1(e10, e12) = v1 & op1(e10, e11) = v0 & op1(e10, e10) = e11 & h1(v12) = v77 & h1(v11) = v75 & h1(v10) = v74 & h1(v9) = v72 & h1(v8) = v70 & h1(v7) = v68 & h1(v6) = v66 & h1(v5) = v64 & h1(v4) = v62 & h1(v3) = v60 & h1(v2) = v58 & h1(v1) = v56 & h1(v0) = v54 & h1(e13) = e20 & h1(e12) = v15 & h1(e11) = v16 & h1(e10) = e21 & h2(v12) = v105 & h2(v11) = v103 & h2(v10) = v101 & h2(v9) = v99 & h2(v8) = v97 & h2(v7) = v95 & h2(v6) = v93 & h2(v5) = v91 & h2(v4) = v89 & h2(v3) = v87 & h2(v2) = v85 & h2(v1) = v82 & h2(v0) = v80 & h2(e13) = e21 & h2(e12) = v43 & h2(e11) = v52 & h2(e10) = v16 & h3(v12) = v133 & h3(v11) = v131 & h3(v10) = v129 & h3(v9) = v127 & h3(v8) = v125 & h3(v7) = v123 & h3(v6) = v121 & h3(v5) = v119 & h3(v4) = v117 & h3(v3) = v115 & h3(v2) = v113 & h3(v1) = v110 & h3(v0) = v108 & h3(e13) = e22 & h3(e12) = v48 & h3(e11) = v53 & h3(e10) = v21 & h4(v12) = v147 & h4(v11) = v146 & h4(v10) = v145 & h4(v9) = v144 & h4(v8) = v143 & h4(v7) = v142 & h4(v6) = v141 & h4(v5) = v140 & h4(v4) = v139 & h4(v3) = v138 & h4(v2) = v137 & h4(v1) = v136 & h4(v0) = v135 & h4(e13) = e23 & h4(e12) = e22 & h4(e11) = e21 & h4(e10) = e20 & op2(v53, v53) = v116 & op2(v53, v48) = v118 & op2(v53, v21) = v114 & op2(v53, e22) = v120 & op2(v52, v52) = v88 & op2(v52, v43) = v90 & op2(v52, v16) = v86 & op2(v52, e21) = v92 & op2(v48, v53) = v124 & op2(v48, v48) = v126 & op2(v48, v21) = v122 & op2(v48, e22) = v128 & op2(v43, v52) = v96 & op2(v43, v43) = v98 & op2(v43, v16) = v94 & op2(v43, e21) = v100 & op2(v25, e23) = v49 & op2(v24, e23) = v45 & op2(v23, e23) = v41 & op2(v22, e22) = v51 & op2(v21, v53) = v109 & op2(v21, v48) = v111 & op2(v21, v21) = v107 & op2(v21, v21) = v53 & op2(v21, e22) = v112 & op2(v21, e22) = v48 & op2(v20, e22) = v44 & op2(v19, e22) = v40 & op2(v18, e21) = v50 & op2(v17, e21) = v47 & op2(v16, v52) = v81 & op2(v16, v43) = v83 & op2(v16, v16) = v79 & op2(v16, v16) = v61 & op2(v16, v16) = v52 & op2(v16, v15) = v63 & op2(v16, e21) = v84 & op2(v16, e21) = v59 & op2(v16, e21) = v43 & op2(v16, e20) = v65 & op2(v15, v16) = v69 & op2(v15, v15) = v71 & op2(v15, e21) = v67 & op2(v15, e21) = v39 & op2(v15, e20) = v73 & op2(v14, e20) = v46 & op2(v13, e20) = v42 & op2(e23, e23) = e20 & op2(e23, e22) = v25 & op2(e23, e21) = v24 & op2(e23, e20) = v23 & op2(e22, v53) = v132 & op2(e22, v48) = v134 & op2(e22, v21) = v130 & op2(e22, e23) = v22 & op2(e22, e22) = v21 & op2(e22, e21) = v20 & op2(e22, e20) = v19 & op2(e21, v52) = v104 & op2(e21, v43) = v106 & op2(e21, v16) = v102 & op2(e21, v16) = v55 & op2(e21, v15) = v57 & op2(e21, e23) = v18 & op2(e21, e22) = v17 & op2(e21, e21) = v16 & op2(e21, e20) = v15 & op2(e20, v16) = v76 & op2(e20, v15) = v78 & op2(e20, e23) = e22 & op2(e20, e22) = v14 & op2(e20, e21) = v13 & op2(e20, e20) = e21 & ! [v148] : ! [v149] : ! [v150] : ! [v151] : (v149 = v148 | ~ (op1(v151, v150) = v149) | ~ (op1(v151, v150) = v148)) & ! [v148] : ! [v149] : ! [v150] : ! [v151] : (v149 = v148 | ~ (op2(v151, v150) = v149) | ~ (op2(v151, v150) = v148)) & ! [v148] : ! [v149] : ! [v150] : (v149 = v148 | ~ (h1(v150) = v149) | ~ (h1(v150) = v148)) & ! [v148] : ! [v149] : ! [v150] : (v149 = v148 | ~ (h2(v150) = v149) | ~ (h2(v150) = v148)) & ! [v148] : ! [v149] : ! [v150] : (v149 = v148 | ~ (h3(v150) = v149) | ~ (h3(v150) = v148)) & ! [v148] : ! [v149] : ! [v150] : (v149 = v148 | ~ (h4(v150) = v149) | ~ (h4(v150) = v148)) & ( ~ (v147 = v25) | ~ (v146 = v24) | ~ (v145 = v23) | ~ (v144 = v22) | ~ (v143 = v21) | ~ (v142 = v20) | ~ (v141 = v19) | ~ (v140 = v18) | ~ (v139 = v17) | ~ (v138 = v16) | ~ (v137 = v15) | ~ (v136 = v14) | ~ (v135 = v13)) & ( ~ (v134 = v133) | ~ (v132 = v131) | ~ (v130 = v129) | ~ (v128 = v127) | ~ (v126 = v125) | ~ (v124 = v123) | ~ (v122 = v121) | ~ (v120 = v119) | ~ (v118 = v117) | ~ (v116 = v115) | ~ (v114 = v113) | ~ (v112 = v48) | ~ (v111 = v110) | ~ (v109 = v108) | ~ (v107 = v53) | ( ~ (v53 = e23) & ~ (v48 = e23) & ~ (v21 = e23)) | ( ~ (v53 = e21) & ~ (v48 = e21) & ~ (v21 = e21)) | ( ~ (v53 = e20) & ~ (v48 = e20) & ~ (v21 = e20))) & ( ~ (v106 = v105) | ~ (v104 = v103) | ~ (v102 = v101) | ~ (v100 = v99) | ~ (v98 = v97) | ~ (v96 = v95) | ~ (v94 = v93) | ~ (v92 = v91) | ~ (v90 = v89) | ~ (v88 = v87) | ~ (v86 = v85) | ~ (v84 = v43) | ~ (v83 = v82) | ~ (v81 = v80) | ~ (v79 = v52) | ( ~ (v52 = e23) & ~ (v43 = e23) & ~ (v16 = e23)) | ( ~ (v52 = e22) & ~ (v43 = e22) & ~ (v16 = e22)) | ( ~ (v52 = e20) & ~ (v43 = e20) & ~ (v16 = e20))) & ( ~ (v78 = v77) | ~ (v76 = v75) | ~ (v74 = v13) | ~ (v73 = v72) | ~ (v71 = v70) | ~ (v69 = v68) | ~ (v67 = v66) | ~ (v65 = v64) | ~ (v63 = v62) | ~ (v61 = v60) | ~ (v59 = v58) | ~ (v57 = v56) | ~ (v55 = v54) | ( ~ (v16 = e23) & ~ (v15 = e23)) | ( ~ (v16 = e22) & ~ (v15 = e22))) & (v51 = v22 | v50 = v18 | v19 = e22) & (v49 = v25 | v48 = v21 | v47 = v17 | v46 = v14) & (v45 = v24 | v44 = v20 | v43 = v16 | v42 = v13) & (v41 = v23 | v40 = v19 | v39 = v15) & (v38 = v9 | v37 = v5 | v6 = e12) & (v36 = v12 | v35 = v8 | v34 = v4 | v33 = v1) & (v32 = v11 | v31 = v7 | v30 = v3 | v29 = v0) & (v28 = v10 | v27 = v6 | v26 = v2) & (v25 = e23 | v25 = e22 | v25 = e21) & (v25 = e23 | v24 = e23 | v23 = e23) & (v25 = e23 | v21 = e23 | v17 = e23 | v14 = e23) & (v25 = e22 | v24 = e22 | v23 = e22) & (v25 = e22 | v21 = e22 | v17 = e22) & (v25 = e21 | v24 = e21) & (v25 = e21 | v21 = e21 | v17 = e21) & (v24 = e23 | v24 = e22 | v24 = e21) & (v24 = e23 | v20 = e23 | v16 = e23 | v13 = e23) & (v24 = e22 | v20 = e22 | v16 = e22) & (v24 = e21 | v20 = e21 | v16 = e21) & (v23 = e23 | v23 = e22) & (v23 = e23 | v19 = e23 | v15 = e23) & (v23 = e23 | (v21 = e21 & v20 = e22 & ~ (v18 = e23) & ~ (v17 = e22) & ~ (v16 = e21) & ~ (v15 = e20)) | (v21 = e20 & v19 = e22) | (v18 = e21 & v16 = e23 & ~ (v25 = e22) & ~ (v24 = e21)) | (v17 = e21 & v16 = e22 & ~ (v22 = e23) & ~ (v21 = e22) & ~ (v20 = e21) & ~ (v19 = e20)) | (v13 = e20 & ~ (v18 = e23) & ~ (v17 = e22) & ~ (v16 = e21) & ~ (v15 = e20))) & (v23 = e22 | v19 = e22 | v15 = e22) & (v22 = e23 | v22 = e21) & (v22 = e23 | v21 = e23 | v20 = e23 | v19 = e23) & (v22 = e23 | v18 = e23) & (v22 = e21 | v21 = e21 | v20 = e21) & (v22 = e21 | v18 = e21) & (v21 = e23 | v21 = e22 | v21 = e21 | v21 = e20) & (v21 = e22 | v20 = e22 | v19 = e22) & (v21 = e20 | v20 = e20 | v19 = e20) & (v21 = e20 | v17 = e20 | v14 = e20) & (v20 = e23 | v20 = e22 | v20 = e21 | v20 = e20) & (v20 = e20 | v16 = e20 | v13 = e20) & (v19 = e23 | v19 = e22 | v19 = e20) & (v19 = e20 | v15 = e20) & (v18 = e23 | v18 = e21) & (v18 = e23 | v17 = e23 | v16 = e23 | v15 = e23) & (v18 = e21 | v17 = e21 | v16 = e21) & (v17 = e23 | v17 = e22 | v17 = e21 | v17 = e20) & (v17 = e22 | v16 = e22 | v15 = e22) & (v17 = e20 | v16 = e20 | v15 = e20) & (v16 = e23 | v16 = e22 | v16 = e21 | v16 = e20) & (v15 = e23 | v15 = e22 | v15 = e20) & (v14 = e23 | v14 = e20) & (v14 = e23 | v13 = e23) & (v14 = e20 | v13 = e20) & (v13 = e23 | v13 = e20) & (v12 = e13 | v12 = e12 | v12 = e11) & (v12 = e13 | v11 = e13 | v10 = e13) & (v12 = e13 | v8 = e13 | v4 = e13 | v1 = e13) & (v12 = e12 | v11 = e12 | v10 = e12) & (v12 = e12 | v8 = e12 | v4 = e12) & (v12 = e11 | v11 = e11) & (v12 = e11 | v8 = e11 | v4 = e11) & (v11 = e13 | v11 = e12 | v11 = e11) & (v11 = e13 | v7 = e13 | v3 = e13 | v0 = e13) & (v11 = e12 | v7 = e12 | v3 = e12) & (v11 = e11 | v7 = e11 | v3 = e11) & (v10 = e13 | v10 = e12) & (v10 = e13 | v6 = e13 | v2 = e13) & (v10 = e13 | (v8 = e11 & v7 = e12 & ~ (v5 = e13) & ~ (v4 = e12) & ~ (v3 = e11) & ~ (v2 = e10)) | (v8 = e10 & v6 = e12) | (v5 = e11 & v3 = e13 & ~ (v12 = e12) & ~ (v11 = e11)) | (v4 = e11 & v3 = e12 & ~ (v9 = e13) & ~ (v8 = e12) & ~ (v7 = e11) & ~ (v6 = e10)) | (v0 = e10 & ~ (v5 = e13) & ~ (v4 = e12) & ~ (v3 = e11) & ~ (v2 = e10))) & (v10 = e12 | v6 = e12 | v2 = e12) & (v9 = e13 | v9 = e11) & (v9 = e13 | v8 = e13 | v7 = e13 | v6 = e13) & (v9 = e13 | v5 = e13) & (v9 = e11 | v8 = e11 | v7 = e11) & (v9 = e11 | v5 = e11) & (v8 = e13 | v8 = e12 | v8 = e11 | v8 = e10) & (v8 = e12 | v7 = e12 | v6 = e12) & (v8 = e10 | v7 = e10 | v6 = e10) & (v8 = e10 | v4 = e10 | v1 = e10) & (v7 = e13 | v7 = e12 | v7 = e11 | v7 = e10) & (v7 = e10 | v3 = e10 | v0 = e10) & (v6 = e13 | v6 = e12 | v6 = e10) & (v6 = e10 | v2 = e10) & (v5 = e13 | v5 = e11) & (v5 = e13 | v4 = e13 | v3 = e13 | v2 = e13) & (v5 = e11 | v4 = e11 | v3 = e11) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 = e10) & (v4 = e12 | v3 = e12 | v2 = e12) & (v4 = e10 | v3 = e10 | v2 = e10) & (v3 = e13 | v3 = e12 | v3 = e11 | v3 = e10) & (v2 = e13 | v2 = e12 | v2 = e10) & (v1 = e13 | v1 = e10) & (v1 = e13 | v0 = e13) & (v1 = e10 | v0 = e10) & (v0 = e13 | v0 = e10))
% 13.06/3.50 | 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 yields:
% 13.06/3.50 | (1) ~ (all_0_122_122 = all_0_123_123) & ~ (all_0_122_122 = all_0_124_124) & ~ (all_0_122_122 = all_0_126_126) & ~ (all_0_122_122 = all_0_130_130) & ~ (all_0_122_122 = all_0_133_133) & ~ (all_0_122_122 = e20) & ~ (all_0_123_123 = all_0_124_124) & ~ (all_0_123_123 = all_0_127_127) & ~ (all_0_123_123 = all_0_131_131) & ~ (all_0_123_123 = all_0_134_134) & ~ (all_0_123_123 = e20) & ~ (all_0_124_124 = all_0_128_128) & ~ (all_0_124_124 = all_0_132_132) & ~ (all_0_124_124 = e21) & ~ (all_0_124_124 = e20) & ~ (all_0_125_125 = all_0_126_126) & ~ (all_0_125_125 = all_0_127_127) & ~ (all_0_125_125 = all_0_128_128) & ~ (all_0_125_125 = all_0_129_129) & ~ (all_0_125_125 = e22) & ~ (all_0_125_125 = e20) & ~ (all_0_126_126 = all_0_127_127) & ~ (all_0_126_126 = all_0_128_128) & ~ (all_0_126_126 = all_0_130_130) & ~ (all_0_126_126 = all_0_133_133) & ~ (all_0_127_127 = all_0_128_128) & ~ (all_0_127_127 = all_0_131_131) & ~ (all_0_127_127 = all_0_134_134) & ~ (all_0_128_128 = all_0_132_132) & ~ (all_0_128_128 = e21) & ~ (all_0_129_129 = all_0_130_130) & ~ (all_0_129_129 = all_0_131_131) & ~ (all_0_129_129 = all_0_132_132) & ~ (all_0_129_129 = e22) & ~ (all_0_129_129 = e20) & ~ (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_131_131 = all_0_132_132) & ~ (all_0_131_131 = all_0_134_134) & ~ (all_0_132_132 = e21) & ~ (all_0_133_133 = all_0_134_134) & ~ (all_0_133_133 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e22) & ~ (all_0_134_134 = e21) & ~ (all_0_135_135 = all_0_136_136) & ~ (all_0_135_135 = all_0_137_137) & ~ (all_0_135_135 = all_0_139_139) & ~ (all_0_135_135 = all_0_143_143) & ~ (all_0_135_135 = all_0_146_146) & ~ (all_0_135_135 = e10) & ~ (all_0_136_136 = all_0_137_137) & ~ (all_0_136_136 = all_0_140_140) & ~ (all_0_136_136 = all_0_144_144) & ~ (all_0_136_136 = all_0_147_147) & ~ (all_0_136_136 = e10) & ~ (all_0_137_137 = all_0_141_141) & ~ (all_0_137_137 = all_0_145_145) & ~ (all_0_137_137 = e11) & ~ (all_0_137_137 = e10) & ~ (all_0_138_138 = all_0_139_139) & ~ (all_0_138_138 = all_0_140_140) & ~ (all_0_138_138 = all_0_141_141) & ~ (all_0_138_138 = all_0_142_142) & ~ (all_0_138_138 = e12) & ~ (all_0_138_138 = e10) & ~ (all_0_139_139 = all_0_140_140) & ~ (all_0_139_139 = all_0_141_141) & ~ (all_0_139_139 = all_0_143_143) & ~ (all_0_139_139 = all_0_146_146) & ~ (all_0_140_140 = all_0_141_141) & ~ (all_0_140_140 = all_0_144_144) & ~ (all_0_140_140 = all_0_147_147) & ~ (all_0_141_141 = all_0_145_145) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = all_0_143_143) & ~ (all_0_142_142 = all_0_144_144) & ~ (all_0_142_142 = all_0_145_145) & ~ (all_0_142_142 = e12) & ~ (all_0_142_142 = e10) & ~ (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_144_144 = all_0_145_145) & ~ (all_0_144_144 = all_0_147_147) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = all_0_147_147) & ~ (all_0_146_146 = e12) & ~ (all_0_146_146 = e11) & ~ (all_0_147_147 = e12) & ~ (all_0_147_147 = e11) & ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e23 = e13) & ~ (e23 = e12) & ~ (e23 = e11) & ~ (e23 = e10) & ~ (e22 = e21) & ~ (e22 = e20) & ~ (e22 = e13) & ~ (e22 = e12) & ~ (e22 = e11) & ~ (e22 = e10) & ~ (e21 = e20) & ~ (e21 = e13) & ~ (e21 = e12) & ~ (e21 = e11) & ~ (e21 = e10) & ~ (e20 = e13) & ~ (e20 = e12) & ~ (e20 = e11) & ~ (e20 = e10) & ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = e10) & ~ (e11 = e10) & op1(all_0_135_135, e13) = all_0_111_111 & op1(all_0_136_136, e13) = all_0_115_115 & op1(all_0_137_137, e13) = all_0_119_119 & op1(all_0_138_138, e12) = all_0_109_109 & op1(all_0_139_139, e12) = all_0_112_112 & op1(all_0_140_140, e12) = all_0_116_116 & op1(all_0_141_141, e12) = all_0_120_120 & op1(all_0_142_142, e11) = all_0_110_110 & op1(all_0_143_143, e11) = all_0_113_113 & op1(all_0_144_144, e11) = all_0_117_117 & op1(all_0_145_145, e11) = all_0_121_121 & op1(all_0_146_146, e10) = all_0_114_114 & op1(all_0_147_147, e10) = all_0_118_118 & op1(e13, e13) = e10 & op1(e13, e12) = all_0_135_135 & op1(e13, e11) = all_0_136_136 & op1(e13, e10) = all_0_137_137 & op1(e12, e13) = all_0_138_138 & op1(e12, e12) = all_0_139_139 & op1(e12, e11) = all_0_140_140 & op1(e12, e10) = all_0_141_141 & op1(e11, e13) = all_0_142_142 & op1(e11, e12) = all_0_143_143 & op1(e11, e11) = all_0_144_144 & op1(e11, e10) = all_0_145_145 & op1(e10, e13) = e12 & op1(e10, e12) = all_0_146_146 & op1(e10, e11) = all_0_147_147 & op1(e10, e10) = e11 & h1(all_0_135_135) = all_0_70_70 & h1(all_0_136_136) = all_0_72_72 & h1(all_0_137_137) = all_0_73_73 & h1(all_0_138_138) = all_0_75_75 & h1(all_0_139_139) = all_0_77_77 & h1(all_0_140_140) = all_0_79_79 & h1(all_0_141_141) = all_0_81_81 & h1(all_0_142_142) = all_0_83_83 & h1(all_0_143_143) = all_0_85_85 & h1(all_0_144_144) = all_0_87_87 & h1(all_0_145_145) = all_0_89_89 & h1(all_0_146_146) = all_0_91_91 & h1(all_0_147_147) = all_0_93_93 & h1(e13) = e20 & h1(e12) = all_0_132_132 & h1(e11) = all_0_131_131 & h1(e10) = e21 & h2(all_0_135_135) = all_0_42_42 & h2(all_0_136_136) = all_0_44_44 & h2(all_0_137_137) = all_0_46_46 & h2(all_0_138_138) = all_0_48_48 & h2(all_0_139_139) = all_0_50_50 & h2(all_0_140_140) = all_0_52_52 & h2(all_0_141_141) = all_0_54_54 & h2(all_0_142_142) = all_0_56_56 & h2(all_0_143_143) = all_0_58_58 & h2(all_0_144_144) = all_0_60_60 & h2(all_0_145_145) = all_0_62_62 & h2(all_0_146_146) = all_0_65_65 & h2(all_0_147_147) = all_0_67_67 & h2(e13) = e21 & h2(e12) = all_0_104_104 & h2(e11) = all_0_95_95 & h2(e10) = all_0_131_131 & h3(all_0_135_135) = all_0_14_14 & h3(all_0_136_136) = all_0_16_16 & h3(all_0_137_137) = all_0_18_18 & h3(all_0_138_138) = all_0_20_20 & h3(all_0_139_139) = all_0_22_22 & h3(all_0_140_140) = all_0_24_24 & h3(all_0_141_141) = all_0_26_26 & h3(all_0_142_142) = all_0_28_28 & h3(all_0_143_143) = all_0_30_30 & h3(all_0_144_144) = all_0_32_32 & h3(all_0_145_145) = all_0_34_34 & h3(all_0_146_146) = all_0_37_37 & h3(all_0_147_147) = all_0_39_39 & h3(e13) = e22 & h3(e12) = all_0_99_99 & h3(e11) = all_0_94_94 & h3(e10) = all_0_126_126 & h4(all_0_135_135) = all_0_0_0 & h4(all_0_136_136) = all_0_1_1 & h4(all_0_137_137) = all_0_2_2 & h4(all_0_138_138) = all_0_3_3 & h4(all_0_139_139) = all_0_4_4 & h4(all_0_140_140) = all_0_5_5 & h4(all_0_141_141) = all_0_6_6 & h4(all_0_142_142) = all_0_7_7 & h4(all_0_143_143) = all_0_8_8 & h4(all_0_144_144) = all_0_9_9 & h4(all_0_145_145) = all_0_10_10 & h4(all_0_146_146) = all_0_11_11 & h4(all_0_147_147) = all_0_12_12 & h4(e13) = e23 & h4(e12) = e22 & h4(e11) = e21 & h4(e10) = e20 & op2(all_0_94_94, all_0_94_94) = all_0_31_31 & op2(all_0_94_94, all_0_99_99) = all_0_29_29 & op2(all_0_94_94, all_0_126_126) = all_0_33_33 & op2(all_0_94_94, e22) = all_0_27_27 & op2(all_0_95_95, all_0_95_95) = all_0_59_59 & op2(all_0_95_95, all_0_104_104) = all_0_57_57 & op2(all_0_95_95, all_0_131_131) = all_0_61_61 & op2(all_0_95_95, e21) = all_0_55_55 & op2(all_0_99_99, all_0_94_94) = all_0_23_23 & op2(all_0_99_99, all_0_99_99) = all_0_21_21 & op2(all_0_99_99, all_0_126_126) = all_0_25_25 & op2(all_0_99_99, e22) = all_0_19_19 & op2(all_0_104_104, all_0_95_95) = all_0_51_51 & op2(all_0_104_104, all_0_104_104) = all_0_49_49 & op2(all_0_104_104, all_0_131_131) = all_0_53_53 & op2(all_0_104_104, e21) = all_0_47_47 & op2(all_0_122_122, e23) = all_0_98_98 & op2(all_0_123_123, e23) = all_0_102_102 & op2(all_0_124_124, e23) = all_0_106_106 & op2(all_0_125_125, e22) = all_0_96_96 & op2(all_0_126_126, all_0_94_94) = all_0_38_38 & op2(all_0_126_126, all_0_99_99) = all_0_36_36 & op2(all_0_126_126, all_0_126_126) = all_0_40_40 & op2(all_0_126_126, all_0_126_126) = all_0_94_94 & op2(all_0_126_126, e22) = all_0_35_35 & op2(all_0_126_126, e22) = all_0_99_99 & op2(all_0_127_127, e22) = all_0_103_103 & op2(all_0_128_128, e22) = all_0_107_107 & op2(all_0_129_129, e21) = all_0_97_97 & op2(all_0_130_130, e21) = all_0_100_100 & op2(all_0_131_131, all_0_95_95) = all_0_66_66 & op2(all_0_131_131, all_0_104_104) = all_0_64_64 & op2(all_0_131_131, all_0_131_131) = all_0_68_68 & op2(all_0_131_131, all_0_131_131) = all_0_86_86 & op2(all_0_131_131, all_0_131_131) = all_0_95_95 & op2(all_0_131_131, all_0_132_132) = all_0_84_84 & op2(all_0_131_131, e21) = all_0_63_63 & op2(all_0_131_131, e21) = all_0_88_88 & op2(all_0_131_131, e21) = all_0_104_104 & op2(all_0_131_131, e20) = all_0_82_82 & op2(all_0_132_132, all_0_131_131) = all_0_78_78 & op2(all_0_132_132, all_0_132_132) = all_0_76_76 & op2(all_0_132_132, e21) = all_0_80_80 & op2(all_0_132_132, e21) = all_0_108_108 & op2(all_0_132_132, e20) = all_0_74_74 & op2(all_0_133_133, e20) = all_0_101_101 & op2(all_0_134_134, e20) = all_0_105_105 & op2(e23, e23) = e20 & op2(e23, e22) = all_0_122_122 & op2(e23, e21) = all_0_123_123 & op2(e23, e20) = all_0_124_124 & op2(e22, all_0_94_94) = all_0_15_15 & op2(e22, all_0_99_99) = all_0_13_13 & op2(e22, all_0_126_126) = all_0_17_17 & op2(e22, e23) = all_0_125_125 & op2(e22, e22) = all_0_126_126 & op2(e22, e21) = all_0_127_127 & op2(e22, e20) = all_0_128_128 & op2(e21, all_0_95_95) = all_0_43_43 & op2(e21, all_0_104_104) = all_0_41_41 & op2(e21, all_0_131_131) = all_0_45_45 & op2(e21, all_0_131_131) = all_0_92_92 & op2(e21, all_0_132_132) = all_0_90_90 & op2(e21, e23) = all_0_129_129 & op2(e21, e22) = all_0_130_130 & op2(e21, e21) = all_0_131_131 & op2(e21, e20) = all_0_132_132 & op2(e20, all_0_131_131) = all_0_71_71 & op2(e20, all_0_132_132) = all_0_69_69 & op2(e20, e23) = e22 & op2(e20, e22) = all_0_133_133 & op2(e20, e21) = all_0_134_134 & op2(e20, e20) = e21 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0)) & ( ~ (all_0_0_0 = all_0_122_122) | ~ (all_0_1_1 = all_0_123_123) | ~ (all_0_2_2 = all_0_124_124) | ~ (all_0_3_3 = all_0_125_125) | ~ (all_0_4_4 = all_0_126_126) | ~ (all_0_5_5 = all_0_127_127) | ~ (all_0_6_6 = all_0_128_128) | ~ (all_0_7_7 = all_0_129_129) | ~ (all_0_8_8 = all_0_130_130) | ~ (all_0_9_9 = all_0_131_131) | ~ (all_0_10_10 = all_0_132_132) | ~ (all_0_11_11 = all_0_133_133) | ~ (all_0_12_12 = all_0_134_134)) & ( ~ (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_99_99) | ~ (all_0_36_36 = all_0_37_37) | ~ (all_0_38_38 = all_0_39_39) | ~ (all_0_40_40 = all_0_94_94) | ( ~ (all_0_94_94 = e23) & ~ (all_0_99_99 = e23) & ~ (all_0_126_126 = e23)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_99_99 = e21) & ~ (all_0_126_126 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_99_99 = e20) & ~ (all_0_126_126 = e20))) & ( ~ (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_104_104) | ~ (all_0_64_64 = all_0_65_65) | ~ (all_0_66_66 = all_0_67_67) | ~ (all_0_68_68 = all_0_95_95) | ( ~ (all_0_95_95 = e23) & ~ (all_0_104_104 = e23) & ~ (all_0_131_131 = e23)) | ( ~ (all_0_95_95 = e22) & ~ (all_0_104_104 = e22) & ~ (all_0_131_131 = e22)) | ( ~ (all_0_95_95 = e20) & ~ (all_0_104_104 = e20) & ~ (all_0_131_131 = e20))) & ( ~ (all_0_69_69 = all_0_70_70) | ~ (all_0_71_71 = all_0_72_72) | ~ (all_0_73_73 = all_0_134_134) | ~ (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_131_131 = e23) & ~ (all_0_132_132 = e23)) | ( ~ (all_0_131_131 = e22) & ~ (all_0_132_132 = e22))) & (all_0_96_96 = all_0_125_125 | all_0_97_97 = all_0_129_129 | all_0_128_128 = e22) & (all_0_98_98 = all_0_122_122 | all_0_99_99 = all_0_126_126 | all_0_100_100 = all_0_130_130 | all_0_101_101 = all_0_133_133) & (all_0_102_102 = all_0_123_123 | all_0_103_103 = all_0_127_127 | all_0_104_104 = all_0_131_131 | all_0_105_105 = all_0_134_134) & (all_0_106_106 = all_0_124_124 | all_0_107_107 = all_0_128_128 | all_0_108_108 = all_0_132_132) & (all_0_109_109 = all_0_138_138 | all_0_110_110 = all_0_142_142 | all_0_141_141 = e12) & (all_0_111_111 = all_0_135_135 | all_0_112_112 = all_0_139_139 | all_0_113_113 = all_0_143_143 | all_0_114_114 = all_0_146_146) & (all_0_115_115 = all_0_136_136 | all_0_116_116 = all_0_140_140 | all_0_117_117 = all_0_144_144 | all_0_118_118 = all_0_147_147) & (all_0_119_119 = all_0_137_137 | all_0_120_120 = all_0_141_141 | all_0_121_121 = all_0_145_145) & (all_0_122_122 = e23 | all_0_122_122 = e22 | all_0_122_122 = e21) & (all_0_122_122 = e23 | all_0_123_123 = e23 | all_0_124_124 = e23) & (all_0_122_122 = e23 | all_0_126_126 = e23 | all_0_130_130 = e23 | all_0_133_133 = e23) & (all_0_122_122 = e22 | all_0_123_123 = e22 | all_0_124_124 = e22) & (all_0_122_122 = e22 | all_0_126_126 = e22 | all_0_130_130 = e22) & (all_0_122_122 = e21 | all_0_123_123 = e21) & (all_0_122_122 = e21 | all_0_126_126 = e21 | all_0_130_130 = e21) & (all_0_123_123 = e23 | all_0_123_123 = e22 | all_0_123_123 = e21) & (all_0_123_123 = e23 | all_0_127_127 = e23 | all_0_131_131 = e23 | all_0_134_134 = e23) & (all_0_123_123 = e22 | all_0_127_127 = e22 | all_0_131_131 = e22) & (all_0_123_123 = e21 | all_0_127_127 = e21 | all_0_131_131 = e21) & (all_0_124_124 = e23 | all_0_124_124 = e22) & (all_0_124_124 = e23 | all_0_128_128 = e23 | all_0_132_132 = e23) & (all_0_124_124 = e23 | (all_0_126_126 = e21 & all_0_127_127 = e22 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e21) & ~ (all_0_132_132 = e20)) | (all_0_126_126 = e20 & all_0_128_128 = e22) | (all_0_129_129 = e21 & all_0_131_131 = e23 & ~ (all_0_122_122 = e22) & ~ (all_0_123_123 = e21)) | (all_0_130_130 = e21 & all_0_131_131 = e22 & ~ (all_0_125_125 = e23) & ~ (all_0_126_126 = e22) & ~ (all_0_127_127 = e21) & ~ (all_0_128_128 = e20)) | (all_0_134_134 = e20 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e21) & ~ (all_0_132_132 = e20))) & (all_0_124_124 = e22 | all_0_128_128 = e22 | all_0_132_132 = e22) & (all_0_125_125 = e23 | all_0_125_125 = e21) & (all_0_125_125 = e23 | all_0_126_126 = e23 | all_0_127_127 = e23 | all_0_128_128 = e23) & (all_0_125_125 = e23 | all_0_129_129 = e23) & (all_0_125_125 = e21 | all_0_126_126 = e21 | all_0_127_127 = e21) & (all_0_125_125 = e21 | all_0_129_129 = e21) & (all_0_126_126 = e23 | all_0_126_126 = e22 | all_0_126_126 = e21 | all_0_126_126 = e20) & (all_0_126_126 = e22 | all_0_127_127 = e22 | all_0_128_128 = e22) & (all_0_126_126 = e20 | all_0_127_127 = e20 | all_0_128_128 = e20) & (all_0_126_126 = e20 | all_0_130_130 = e20 | all_0_133_133 = 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 = e20 | all_0_131_131 = e20 | all_0_134_134 = e20) & (all_0_128_128 = e23 | all_0_128_128 = e22 | all_0_128_128 = e20) & (all_0_128_128 = e20 | all_0_132_132 = e20) & (all_0_129_129 = e23 | all_0_129_129 = e21) & (all_0_129_129 = e23 | all_0_130_130 = e23 | all_0_131_131 = e23 | all_0_132_132 = e23) & (all_0_129_129 = e21 | all_0_130_130 = e21 | all_0_131_131 = e21) & (all_0_130_130 = e23 | all_0_130_130 = e22 | all_0_130_130 = e21 | all_0_130_130 = e20) & (all_0_130_130 = e22 | all_0_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_131_131 = e23 | all_0_131_131 = e22 | all_0_131_131 = e21 | all_0_131_131 = e20) & (all_0_132_132 = e23 | all_0_132_132 = e22 | all_0_132_132 = e20) & (all_0_133_133 = e23 | all_0_133_133 = e20) & (all_0_133_133 = e23 | all_0_134_134 = e23) & (all_0_133_133 = e20 | all_0_134_134 = e20) & (all_0_134_134 = e23 | all_0_134_134 = e20) & (all_0_135_135 = e13 | all_0_135_135 = e12 | all_0_135_135 = e11) & (all_0_135_135 = e13 | all_0_136_136 = e13 | all_0_137_137 = e13) & (all_0_135_135 = e13 | all_0_139_139 = e13 | all_0_143_143 = e13 | all_0_146_146 = e13) & (all_0_135_135 = e12 | all_0_136_136 = e12 | all_0_137_137 = e12) & (all_0_135_135 = e12 | all_0_139_139 = e12 | all_0_143_143 = e12) & (all_0_135_135 = e11 | all_0_136_136 = e11) & (all_0_135_135 = e11 | all_0_139_139 = e11 | all_0_143_143 = e11) & (all_0_136_136 = e13 | all_0_136_136 = e12 | all_0_136_136 = e11) & (all_0_136_136 = e13 | all_0_140_140 = e13 | all_0_144_144 = e13 | all_0_147_147 = e13) & (all_0_136_136 = e12 | all_0_140_140 = e12 | all_0_144_144 = e12) & (all_0_136_136 = e11 | all_0_140_140 = e11 | all_0_144_144 = e11) & (all_0_137_137 = e13 | all_0_137_137 = e12) & (all_0_137_137 = e13 | all_0_141_141 = e13 | all_0_145_145 = e13) & (all_0_137_137 = e13 | (all_0_139_139 = e11 & all_0_140_140 = e12 & ~ (all_0_142_142 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_144_144 = e11) & ~ (all_0_145_145 = e10)) | (all_0_139_139 = e10 & all_0_141_141 = e12) | (all_0_142_142 = e11 & all_0_144_144 = e13 & ~ (all_0_135_135 = e12) & ~ (all_0_136_136 = e11)) | (all_0_143_143 = e11 & all_0_144_144 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_139_139 = e12) & ~ (all_0_140_140 = e11) & ~ (all_0_141_141 = e10)) | (all_0_147_147 = e10 & ~ (all_0_142_142 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_144_144 = e11) & ~ (all_0_145_145 = e10))) & (all_0_137_137 = e12 | all_0_141_141 = e12 | all_0_145_145 = e12) & (all_0_138_138 = e13 | all_0_138_138 = e11) & (all_0_138_138 = e13 | all_0_139_139 = e13 | all_0_140_140 = e13 | all_0_141_141 = e13) & (all_0_138_138 = e13 | all_0_142_142 = e13) & (all_0_138_138 = e11 | all_0_139_139 = e11 | all_0_140_140 = e11) & (all_0_138_138 = e11 | all_0_142_142 = e11) & (all_0_139_139 = e13 | all_0_139_139 = e12 | all_0_139_139 = e11 | all_0_139_139 = e10) & (all_0_139_139 = e12 | all_0_140_140 = e12 | all_0_141_141 = e12) & (all_0_139_139 = e10 | all_0_140_140 = e10 | all_0_141_141 = e10) & (all_0_139_139 = e10 | all_0_143_143 = e10 | all_0_146_146 = 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 = e10 | all_0_144_144 = e10 | all_0_147_147 = e10) & (all_0_141_141 = e13 | all_0_141_141 = e12 | all_0_141_141 = e10) & (all_0_141_141 = e10 | all_0_145_145 = e10) & (all_0_142_142 = e13 | all_0_142_142 = e11) & (all_0_142_142 = e13 | all_0_143_143 = e13 | all_0_144_144 = e13 | all_0_145_145 = e13) & (all_0_142_142 = e11 | all_0_143_143 = e11 | all_0_144_144 = e11) & (all_0_143_143 = e13 | all_0_143_143 = e12 | all_0_143_143 = e11 | all_0_143_143 = e10) & (all_0_143_143 = e12 | all_0_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_144_144 = e13 | all_0_144_144 = e12 | all_0_144_144 = e11 | all_0_144_144 = e10) & (all_0_145_145 = e13 | all_0_145_145 = e12 | all_0_145_145 = e10) & (all_0_146_146 = e13 | all_0_146_146 = e10) & (all_0_146_146 = e13 | all_0_147_147 = e13) & (all_0_146_146 = e10 | all_0_147_147 = e10) & (all_0_147_147 = e13 | all_0_147_147 = e10)
% 13.06/3.52 |
% 13.06/3.52 | Applying alpha-rule on (1) yields:
% 13.06/3.52 | (2) ~ (all_0_136_136 = all_0_140_140)
% 13.06/3.52 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 13.06/3.52 | (4) op2(e22, all_0_126_126) = all_0_17_17
% 13.06/3.52 | (5) op1(all_0_143_143, e11) = all_0_113_113
% 13.06/3.52 | (6) h4(all_0_145_145) = all_0_10_10
% 13.06/3.52 | (7) op1(all_0_138_138, e12) = all_0_109_109
% 13.06/3.52 | (8) h2(all_0_139_139) = all_0_50_50
% 13.06/3.52 | (9) op2(all_0_131_131, e21) = all_0_88_88
% 13.06/3.52 | (10) all_0_133_133 = e23 | all_0_134_134 = e23
% 13.06/3.52 | (11) op2(e21, all_0_132_132) = all_0_90_90
% 13.06/3.52 | (12) all_0_96_96 = all_0_125_125 | all_0_97_97 = all_0_129_129 | all_0_128_128 = e22
% 13.06/3.52 | (13) all_0_143_143 = e12 | all_0_144_144 = e12 | all_0_145_145 = e12
% 13.06/3.52 | (14) op2(all_0_132_132, e21) = all_0_108_108
% 13.06/3.52 | (15) op2(all_0_99_99, all_0_94_94) = all_0_23_23
% 13.06/3.52 | (16) all_0_98_98 = all_0_122_122 | all_0_99_99 = all_0_126_126 | all_0_100_100 = all_0_130_130 | all_0_101_101 = all_0_133_133
% 13.06/3.52 | (17) op2(e21, all_0_95_95) = all_0_43_43
% 13.06/3.52 | (18) all_0_146_146 = e13 | all_0_147_147 = e13
% 13.06/3.52 | (19) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0))
% 13.06/3.53 | (20) ~ (all_0_127_127 = all_0_128_128)
% 13.06/3.53 | (21) h3(e11) = all_0_94_94
% 13.06/3.53 | (22) op2(all_0_131_131, e20) = all_0_82_82
% 13.06/3.53 | (23) op2(e23, e22) = all_0_122_122
% 13.06/3.53 | (24) all_0_139_139 = e10 | all_0_143_143 = e10 | all_0_146_146 = e10
% 13.06/3.53 | (25) op2(all_0_126_126, e22) = all_0_35_35
% 13.06/3.53 | (26) op2(all_0_94_94, all_0_99_99) = all_0_29_29
% 13.06/3.53 | (27) ~ (all_0_132_132 = e21)
% 13.06/3.53 | (28) ~ (all_0_0_0 = all_0_122_122) | ~ (all_0_1_1 = all_0_123_123) | ~ (all_0_2_2 = all_0_124_124) | ~ (all_0_3_3 = all_0_125_125) | ~ (all_0_4_4 = all_0_126_126) | ~ (all_0_5_5 = all_0_127_127) | ~ (all_0_6_6 = all_0_128_128) | ~ (all_0_7_7 = all_0_129_129) | ~ (all_0_8_8 = all_0_130_130) | ~ (all_0_9_9 = all_0_131_131) | ~ (all_0_10_10 = all_0_132_132) | ~ (all_0_11_11 = all_0_133_133) | ~ (all_0_12_12 = all_0_134_134)
% 13.06/3.53 | (29) all_0_135_135 = e11 | all_0_136_136 = e11
% 13.06/3.53 | (30) op2(all_0_126_126, all_0_126_126) = all_0_94_94
% 13.06/3.53 | (31) h1(all_0_141_141) = all_0_81_81
% 13.06/3.53 | (32) h3(all_0_135_135) = all_0_14_14
% 13.06/3.53 | (33) ~ (all_0_130_130 = all_0_133_133)
% 13.06/3.53 | (34) ~ (all_0_122_122 = all_0_123_123)
% 13.06/3.53 | (35) h3(all_0_136_136) = all_0_16_16
% 13.06/3.53 | (36) all_0_140_140 = e13 | all_0_140_140 = e12 | all_0_140_140 = e11 | all_0_140_140 = e10
% 13.06/3.53 | (37) op2(e22, e22) = all_0_126_126
% 13.06/3.53 | (38) all_0_129_129 = e23 | all_0_129_129 = e21
% 13.06/3.53 | (39) ~ (all_0_125_125 = e22)
% 13.06/3.53 | (40) ~ (e23 = e22)
% 13.06/3.53 | (41) ~ (all_0_135_135 = all_0_136_136)
% 13.06/3.53 | (42) op1(e13, e10) = all_0_137_137
% 13.06/3.53 | (43) ~ (all_0_137_137 = e10)
% 13.06/3.53 | (44) ~ (e21 = e10)
% 13.06/3.53 | (45) h3(all_0_146_146) = all_0_37_37
% 13.06/3.53 | (46) op2(all_0_132_132, all_0_131_131) = all_0_78_78
% 13.06/3.53 | (47) ~ (all_0_138_138 = all_0_140_140)
% 13.06/3.53 | (48) op2(all_0_131_131, all_0_131_131) = all_0_95_95
% 13.06/3.53 | (49) op2(all_0_134_134, e20) = all_0_105_105
% 13.06/3.53 | (50) h3(all_0_139_139) = all_0_22_22
% 13.06/3.53 | (51) ~ (all_0_146_146 = e11)
% 13.06/3.53 | (52) ~ (all_0_134_134 = e22)
% 13.06/3.53 | (53) op1(e12, e10) = all_0_141_141
% 13.06/3.53 | (54) op2(e20, all_0_132_132) = all_0_69_69
% 13.06/3.53 | (55) ~ (e22 = e11)
% 13.06/3.53 | (56) all_0_123_123 = e22 | all_0_127_127 = e22 | all_0_131_131 = e22
% 13.06/3.53 | (57) ~ (all_0_141_141 = all_0_145_145)
% 13.06/3.53 | (58) op2(e23, e20) = all_0_124_124
% 13.06/3.53 | (59) all_0_122_122 = e22 | all_0_123_123 = e22 | all_0_124_124 = e22
% 13.06/3.53 | (60) ~ (all_0_133_133 = e22)
% 13.06/3.53 | (61) op2(all_0_126_126, all_0_126_126) = all_0_40_40
% 13.06/3.53 | (62) all_0_125_125 = e23 | all_0_125_125 = e21
% 13.06/3.53 | (63) all_0_143_143 = e13 | all_0_143_143 = e12 | all_0_143_143 = e11 | all_0_143_143 = e10
% 13.06/3.53 | (64) op2(e23, e21) = all_0_123_123
% 13.06/3.53 | (65) op2(e22, all_0_99_99) = all_0_13_13
% 13.06/3.53 | (66) op2(all_0_95_95, all_0_131_131) = all_0_61_61
% 13.06/3.53 | (67) h4(all_0_135_135) = all_0_0_0
% 13.06/3.53 | (68) ~ (all_0_133_133 = all_0_134_134)
% 13.06/3.53 | (69) ~ (all_0_122_122 = all_0_133_133)
% 13.06/3.53 | (70) all_0_126_126 = e20 | all_0_127_127 = e20 | all_0_128_128 = e20
% 13.06/3.53 | (71) ~ (all_0_142_142 = all_0_144_144)
% 13.06/3.53 | (72) all_0_135_135 = e13 | all_0_135_135 = e12 | all_0_135_135 = e11
% 13.06/3.53 | (73) all_0_133_133 = e23 | all_0_133_133 = e20
% 13.06/3.53 | (74) ~ (all_0_135_135 = all_0_137_137)
% 13.06/3.53 | (75) op2(all_0_99_99, all_0_126_126) = all_0_25_25
% 13.06/3.53 | (76) h2(all_0_147_147) = all_0_67_67
% 13.06/3.53 | (77) op1(all_0_135_135, e13) = all_0_111_111
% 13.06/3.53 | (78) h1(all_0_136_136) = all_0_72_72
% 13.06/3.53 | (79) h3(all_0_141_141) = all_0_26_26
% 13.06/3.53 | (80) all_0_129_129 = e21 | all_0_130_130 = e21 | all_0_131_131 = e21
% 13.06/3.53 | (81) op2(all_0_95_95, all_0_104_104) = all_0_57_57
% 13.06/3.53 | (82) ~ (all_0_143_143 = all_0_144_144)
% 13.06/3.53 | (83) all_0_122_122 = e23 | all_0_123_123 = e23 | all_0_124_124 = e23
% 13.06/3.53 | (84) ~ (all_0_122_122 = all_0_126_126)
% 13.06/3.53 | (85) h4(e12) = e22
% 13.06/3.53 | (86) all_0_146_146 = e13 | all_0_146_146 = e10
% 13.06/3.53 | (87) op2(all_0_104_104, all_0_104_104) = all_0_49_49
% 13.06/3.53 | (88) all_0_124_124 = e23 | all_0_128_128 = e23 | all_0_132_132 = e23
% 13.06/3.53 | (89) all_0_130_130 = e23 | all_0_130_130 = e22 | all_0_130_130 = e21 | all_0_130_130 = e20
% 13.06/3.53 | (90) ~ (all_0_123_123 = all_0_131_131)
% 13.06/3.53 | (91) ~ (all_0_129_129 = all_0_131_131)
% 13.06/3.53 | (92) all_0_136_136 = e11 | all_0_140_140 = e11 | all_0_144_144 = e11
% 13.06/3.53 | (93) op2(all_0_132_132, all_0_132_132) = all_0_76_76
% 13.06/3.53 | (94) ~ (all_0_126_126 = all_0_128_128)
% 13.06/3.53 | (95) ~ (all_0_69_69 = all_0_70_70) | ~ (all_0_71_71 = all_0_72_72) | ~ (all_0_73_73 = all_0_134_134) | ~ (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_131_131 = e23) & ~ (all_0_132_132 = e23)) | ( ~ (all_0_131_131 = e22) & ~ (all_0_132_132 = e22))
% 13.06/3.53 | (96) all_0_124_124 = e23 | (all_0_126_126 = e21 & all_0_127_127 = e22 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e21) & ~ (all_0_132_132 = e20)) | (all_0_126_126 = e20 & all_0_128_128 = e22) | (all_0_129_129 = e21 & all_0_131_131 = e23 & ~ (all_0_122_122 = e22) & ~ (all_0_123_123 = e21)) | (all_0_130_130 = e21 & all_0_131_131 = e22 & ~ (all_0_125_125 = e23) & ~ (all_0_126_126 = e22) & ~ (all_0_127_127 = e21) & ~ (all_0_128_128 = e20)) | (all_0_134_134 = e20 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e21) & ~ (all_0_132_132 = e20))
% 13.06/3.53 | (97) ~ (all_0_123_123 = all_0_124_124)
% 13.06/3.53 | (98) ~ (all_0_129_129 = all_0_132_132)
% 13.06/3.53 | (99) op1(e10, e11) = all_0_147_147
% 13.06/3.53 | (100) h1(all_0_147_147) = all_0_93_93
% 13.06/3.53 | (101) h2(e13) = e21
% 13.06/3.53 | (102) ~ (all_0_138_138 = all_0_141_141)
% 13.06/3.53 | (103) ~ (all_0_140_140 = all_0_144_144)
% 13.06/3.54 | (104) all_0_138_138 = e13 | all_0_138_138 = e11
% 13.06/3.54 | (105) op1(all_0_147_147, e10) = all_0_118_118
% 13.06/3.54 | (106) ~ (all_0_134_134 = e21)
% 13.06/3.54 | (107) op2(e21, e21) = all_0_131_131
% 13.06/3.54 | (108) ~ (all_0_142_142 = e12)
% 13.06/3.54 | (109) all_0_111_111 = all_0_135_135 | all_0_112_112 = all_0_139_139 | all_0_113_113 = all_0_143_143 | all_0_114_114 = all_0_146_146
% 13.06/3.54 | (110) all_0_102_102 = all_0_123_123 | all_0_103_103 = all_0_127_127 | all_0_104_104 = all_0_131_131 | all_0_105_105 = all_0_134_134
% 13.06/3.54 | (111) op2(all_0_131_131, e21) = all_0_63_63
% 13.06/3.54 | (112) all_0_109_109 = all_0_138_138 | all_0_110_110 = all_0_142_142 | all_0_141_141 = e12
% 13.06/3.54 | (113) h2(all_0_137_137) = all_0_46_46
% 13.06/3.54 | (114) ~ (e23 = e13)
% 13.06/3.54 | (115) h1(e10) = e21
% 13.06/3.54 | (116) h1(all_0_146_146) = all_0_91_91
% 13.06/3.54 | (117) h2(all_0_138_138) = all_0_48_48
% 13.06/3.54 | (118) ~ (all_0_142_142 = all_0_143_143)
% 13.06/3.54 | (119) op2(all_0_131_131, all_0_95_95) = all_0_66_66
% 13.06/3.54 | (120) h3(all_0_142_142) = all_0_28_28
% 13.06/3.54 | (121) ~ (all_0_147_147 = e11)
% 13.06/3.54 | (122) all_0_126_126 = e23 | all_0_126_126 = e22 | all_0_126_126 = e21 | all_0_126_126 = e20
% 13.06/3.54 | (123) ~ (e22 = e20)
% 13.06/3.54 | (124) all_0_144_144 = e13 | all_0_144_144 = e12 | all_0_144_144 = e11 | all_0_144_144 = e10
% 13.06/3.54 | (125) h2(all_0_143_143) = all_0_58_58
% 13.06/3.54 | (126) h2(all_0_146_146) = all_0_65_65
% 13.06/3.54 | (127) ~ (all_0_142_142 = e10)
% 13.06/3.54 | (128) ~ (all_0_125_125 = all_0_128_128)
% 13.06/3.54 | (129) op2(e21, e20) = all_0_132_132
% 13.06/3.54 | (130) ~ (all_0_128_128 = all_0_132_132)
% 13.06/3.54 | (131) op2(all_0_99_99, all_0_99_99) = all_0_21_21
% 13.06/3.54 | (132) ~ (all_0_138_138 = all_0_139_139)
% 13.06/3.54 | (133) all_0_126_126 = e22 | all_0_127_127 = e22 | all_0_128_128 = e22
% 13.06/3.54 | (134) op1(e10, e10) = e11
% 13.06/3.54 | (135) op1(all_0_145_145, e11) = all_0_121_121
% 13.06/3.54 | (136) all_0_137_137 = e13 | all_0_141_141 = e13 | all_0_145_145 = e13
% 13.06/3.54 | (137) op1(e11, e12) = all_0_143_143
% 13.06/3.54 | (138) op2(all_0_104_104, e21) = all_0_47_47
% 13.06/3.54 | (139) op2(all_0_125_125, e22) = all_0_96_96
% 13.06/3.54 | (140) ~ (all_0_123_123 = e20)
% 13.06/3.54 | (141) op2(e21, all_0_131_131) = all_0_45_45
% 13.06/3.54 | (142) h2(all_0_144_144) = all_0_60_60
% 13.06/3.54 | (143) all_0_123_123 = e23 | all_0_123_123 = e22 | all_0_123_123 = e21
% 13.06/3.54 | (144) h4(all_0_147_147) = all_0_12_12
% 13.06/3.54 | (145) all_0_126_126 = e20 | all_0_130_130 = e20 | all_0_133_133 = e20
% 13.06/3.54 | (146) all_0_127_127 = e20 | all_0_131_131 = e20 | all_0_134_134 = e20
% 13.06/3.54 | (147) op1(all_0_146_146, e10) = all_0_114_114
% 13.06/3.54 | (148) all_0_122_122 = e22 | all_0_126_126 = e22 | all_0_130_130 = e22
% 13.51/3.54 | (149) h4(all_0_143_143) = all_0_8_8
% 13.51/3.54 | (150) op1(all_0_139_139, e12) = all_0_112_112
% 13.51/3.54 | (151) h4(e11) = e21
% 13.51/3.54 | (152) h1(all_0_143_143) = all_0_85_85
% 13.51/3.54 | (153) h1(all_0_138_138) = all_0_75_75
% 13.51/3.54 | (154) h4(all_0_136_136) = all_0_1_1
% 13.51/3.54 | (155) h2(e10) = all_0_131_131
% 13.51/3.54 | (156) ~ (all_0_135_135 = all_0_139_139)
% 13.51/3.54 | (157) ~ (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_104_104) | ~ (all_0_64_64 = all_0_65_65) | ~ (all_0_66_66 = all_0_67_67) | ~ (all_0_68_68 = all_0_95_95) | ( ~ (all_0_95_95 = e23) & ~ (all_0_104_104 = e23) & ~ (all_0_131_131 = e23)) | ( ~ (all_0_95_95 = e22) & ~ (all_0_104_104 = e22) & ~ (all_0_131_131 = e22)) | ( ~ (all_0_95_95 = e20) & ~ (all_0_104_104 = e20) & ~ (all_0_131_131 = e20))
% 13.51/3.54 | (158) op2(e23, e23) = e20
% 13.51/3.54 | (159) ~ (all_0_138_138 = all_0_142_142)
% 13.51/3.54 | (160) ~ (all_0_139_139 = all_0_146_146)
% 13.51/3.54 | (161) all_0_146_146 = e10 | all_0_147_147 = e10
% 13.51/3.54 | (162) ~ (e21 = e11)
% 13.51/3.54 | (163) all_0_138_138 = e11 | all_0_139_139 = e11 | all_0_140_140 = e11
% 13.51/3.54 | (164) ~ (e12 = e10)
% 13.51/3.54 | (165) ~ (all_0_140_140 = all_0_141_141)
% 13.51/3.54 | (166) op2(e20, e21) = all_0_134_134
% 13.51/3.54 | (167) h1(e12) = all_0_132_132
% 13.51/3.54 | (168) h4(all_0_146_146) = all_0_11_11
% 13.51/3.54 | (169) all_0_135_135 = e13 | all_0_139_139 = e13 | all_0_143_143 = e13 | all_0_146_146 = e13
% 13.51/3.54 | (170) ~ (e20 = e10)
% 13.51/3.54 | (171) op1(e11, e13) = all_0_142_142
% 13.51/3.54 | (172) h3(all_0_140_140) = all_0_24_24
% 13.51/3.54 | (173) all_0_128_128 = e23 | all_0_128_128 = e22 | all_0_128_128 = e20
% 13.51/3.54 | (174) h3(all_0_145_145) = all_0_34_34
% 13.51/3.54 | (175) all_0_125_125 = e21 | all_0_129_129 = e21
% 13.51/3.54 | (176) h2(all_0_145_145) = all_0_62_62
% 13.51/3.54 | (177) h3(all_0_143_143) = all_0_30_30
% 13.51/3.54 | (178) op2(all_0_94_94, e22) = all_0_27_27
% 13.51/3.54 | (179) h4(all_0_142_142) = all_0_7_7
% 13.51/3.54 | (180) ~ (all_0_123_123 = all_0_127_127)
% 13.51/3.54 | (181) h2(all_0_136_136) = all_0_44_44
% 13.51/3.54 | (182) op2(all_0_129_129, e21) = all_0_97_97
% 13.51/3.54 | (183) op2(e20, all_0_131_131) = all_0_71_71
% 13.51/3.54 | (184) ~ (all_0_126_126 = all_0_133_133)
% 13.51/3.54 | (185) ~ (all_0_136_136 = all_0_147_147)
% 13.51/3.54 | (186) ~ (all_0_136_136 = all_0_144_144)
% 13.51/3.54 | (187) all_0_132_132 = e23 | all_0_132_132 = e22 | all_0_132_132 = e20
% 13.51/3.54 | (188) all_0_138_138 = e13 | all_0_139_139 = e13 | all_0_140_140 = e13 | all_0_141_141 = e13
% 13.51/3.54 | (189) h4(all_0_139_139) = all_0_4_4
% 13.51/3.54 | (190) op2(all_0_131_131, all_0_131_131) = all_0_86_86
% 13.51/3.54 | (191) all_0_125_125 = e21 | all_0_126_126 = e21 | all_0_127_127 = e21
% 13.51/3.54 | (192) h1(all_0_145_145) = all_0_89_89
% 13.51/3.54 | (193) h4(e13) = e23
% 13.51/3.54 | (194) op1(e12, e12) = all_0_139_139
% 13.51/3.54 | (195) h4(all_0_144_144) = all_0_9_9
% 13.51/3.54 | (196) ~ (all_0_137_137 = all_0_145_145)
% 13.51/3.54 | (197) ~ (e13 = e10)
% 13.51/3.54 | (198) op2(all_0_95_95, e21) = all_0_55_55
% 13.51/3.54 | (199) all_0_138_138 = e11 | all_0_142_142 = e11
% 13.51/3.55 | (200) op2(all_0_95_95, all_0_95_95) = all_0_59_59
% 13.51/3.55 | (201) op2(e22, all_0_94_94) = all_0_15_15
% 13.51/3.55 | (202) all_0_127_127 = e23 | all_0_127_127 = e22 | all_0_127_127 = e21 | all_0_127_127 = e20
% 13.51/3.55 | (203) all_0_122_122 = e21 | all_0_123_123 = e21
% 13.51/3.55 | (204) op2(all_0_126_126, e22) = all_0_99_99
% 13.51/3.55 | (205) all_0_125_125 = e23 | all_0_126_126 = e23 | all_0_127_127 = e23 | all_0_128_128 = e23
% 13.51/3.55 | (206) all_0_106_106 = all_0_124_124 | all_0_107_107 = all_0_128_128 | all_0_108_108 = all_0_132_132
% 13.51/3.55 | (207) ~ (all_0_141_141 = e11)
% 13.51/3.55 | (208) h4(all_0_137_137) = all_0_2_2
% 13.51/3.55 | (209) all_0_122_122 = e21 | all_0_126_126 = e21 | all_0_130_130 = e21
% 13.51/3.55 | (210) op2(all_0_132_132, e20) = all_0_74_74
% 13.51/3.55 | (211) op1(all_0_140_140, e12) = all_0_116_116
% 13.51/3.55 | (212) op1(all_0_144_144, e11) = all_0_117_117
% 13.51/3.55 | (213) ~ (e20 = e13)
% 13.51/3.55 | (214) all_0_141_141 = e10 | all_0_145_145 = e10
% 13.51/3.55 | (215) ~ (all_0_131_131 = all_0_134_134)
% 13.51/3.55 | (216) ~ (all_0_124_124 = all_0_132_132)
% 13.51/3.55 | (217) h3(e13) = e22
% 13.51/3.55 | (218) op2(all_0_130_130, e21) = all_0_100_100
% 13.51/3.55 | (219) op2(all_0_124_124, e23) = all_0_106_106
% 13.51/3.55 | (220) ~ (e20 = e11)
% 13.51/3.55 | (221) op1(all_0_136_136, e13) = all_0_115_115
% 13.51/3.55 | (222) op1(e12, e11) = all_0_140_140
% 13.51/3.55 | (223) all_0_135_135 = e11 | all_0_139_139 = e11 | all_0_143_143 = e11
% 13.51/3.55 | (224) op1(e10, e12) = all_0_146_146
% 13.51/3.55 | (225) ~ (all_0_125_125 = e20)
% 13.51/3.55 | (226) ~ (all_0_124_124 = e20)
% 13.51/3.55 | (227) op2(all_0_131_131, all_0_132_132) = all_0_84_84
% 13.51/3.55 | (228) all_0_128_128 = e20 | all_0_132_132 = e20
% 13.51/3.55 | (229) all_0_142_142 = e13 | all_0_142_142 = e11
% 13.51/3.55 | (230) ~ (all_0_143_143 = all_0_146_146)
% 13.51/3.55 | (231) op1(all_0_141_141, e12) = all_0_120_120
% 13.51/3.55 | (232) h1(all_0_144_144) = all_0_87_87
% 13.51/3.55 | (233) op1(e12, e13) = all_0_138_138
% 13.51/3.55 | (234) ~ (all_0_127_127 = all_0_131_131)
% 13.51/3.55 | (235) ~ (e23 = e10)
% 13.51/3.55 | (236) ~ (all_0_129_129 = e20)
% 13.51/3.55 | (237) op2(all_0_132_132, e21) = all_0_80_80
% 13.51/3.55 | (238) all_0_139_139 = e13 | all_0_139_139 = e12 | all_0_139_139 = e11 | all_0_139_139 = e10
% 13.51/3.55 | (239) ~ (all_0_130_130 = all_0_132_132)
% 13.51/3.55 | (240) ~ (all_0_135_135 = all_0_143_143)
% 13.51/3.55 | (241) all_0_130_130 = e20 | all_0_131_131 = e20 | all_0_132_132 = e20
% 13.51/3.55 | (242) ~ (all_0_125_125 = all_0_129_129)
% 13.51/3.55 | (243) ~ (all_0_130_130 = all_0_131_131)
% 13.51/3.55 | (244) h3(e12) = all_0_99_99
% 13.51/3.55 | (245) op2(all_0_122_122, e23) = all_0_98_98
% 13.51/3.55 | (246) h3(all_0_144_144) = all_0_32_32
% 13.51/3.55 | (247) all_0_135_135 = e12 | all_0_136_136 = e12 | all_0_137_137 = e12
% 13.51/3.55 | (248) h4(all_0_138_138) = all_0_3_3
% 13.51/3.55 | (249) ~ (all_0_125_125 = all_0_127_127)
% 13.51/3.55 | (250) all_0_135_135 = e12 | all_0_139_139 = e12 | all_0_143_143 = e12
% 13.51/3.55 | (251) op2(all_0_104_104, all_0_95_95) = all_0_51_51
% 13.51/3.55 | (252) h3(all_0_138_138) = all_0_20_20
% 13.51/3.55 | (253) all_0_119_119 = all_0_137_137 | all_0_120_120 = all_0_141_141 | all_0_121_121 = all_0_145_145
% 13.51/3.55 | (254) ~ (e22 = e21)
% 13.51/3.55 | (255) ~ (all_0_143_143 = all_0_145_145)
% 13.51/3.55 | (256) all_0_139_139 = e10 | all_0_140_140 = e10 | all_0_141_141 = e10
% 13.51/3.55 | (257) ~ (all_0_139_139 = all_0_141_141)
% 13.51/3.55 | (258) all_0_123_123 = e23 | all_0_127_127 = e23 | all_0_131_131 = e23 | all_0_134_134 = e23
% 13.51/3.55 | (259) ~ (all_0_138_138 = e12)
% 13.51/3.55 | (260) all_0_135_135 = e13 | all_0_136_136 = e13 | all_0_137_137 = e13
% 13.51/3.55 | (261) h1(all_0_137_137) = all_0_73_73
% 13.51/3.55 | (262) all_0_122_122 = e23 | all_0_122_122 = e22 | all_0_122_122 = e21
% 13.51/3.55 | (263) op2(e22, e23) = all_0_125_125
% 13.51/3.55 | (264) h1(all_0_139_139) = all_0_77_77
% 13.51/3.55 | (265) all_0_142_142 = e13 | all_0_143_143 = e13 | all_0_144_144 = e13 | all_0_145_145 = e13
% 13.51/3.55 | (266) h1(all_0_135_135) = all_0_70_70
% 13.51/3.55 | (267) all_0_137_137 = e13 | all_0_137_137 = e12
% 13.51/3.55 | (268) ~ (e23 = e12)
% 13.51/3.55 | (269) all_0_136_136 = e13 | all_0_140_140 = e13 | all_0_144_144 = e13 | all_0_147_147 = e13
% 13.51/3.55 | (270) all_0_137_137 = e12 | all_0_141_141 = e12 | all_0_145_145 = e12
% 13.51/3.55 | (271) all_0_122_122 = e23 | all_0_126_126 = e23 | all_0_130_130 = e23 | all_0_133_133 = e23
% 13.51/3.55 | (272) all_0_136_136 = e13 | all_0_136_136 = e12 | all_0_136_136 = e11
% 13.51/3.55 | (273) ~ (all_0_137_137 = all_0_141_141)
% 13.51/3.55 | (274) op1(e13, e13) = e10
% 13.51/3.55 | (275) h1(e11) = all_0_131_131
% 13.51/3.55 | (276) ~ (all_0_142_142 = all_0_145_145)
% 13.51/3.55 | (277) ~ (e20 = e12)
% 13.51/3.55 | (278) ~ (e23 = e20)
% 13.51/3.55 | (279) h2(e12) = all_0_104_104
% 13.51/3.55 | (280) h1(all_0_140_140) = all_0_79_79
% 13.51/3.55 | (281) op1(e11, e11) = all_0_144_144
% 13.51/3.55 | (282) ~ (all_0_136_136 = all_0_137_137)
% 13.51/3.55 | (283) h3(all_0_147_147) = all_0_39_39
% 13.51/3.55 | (284) op2(e20, e23) = e22
% 13.51/3.55 | (285) h3(all_0_137_137) = all_0_18_18
% 13.51/3.55 | (286) ~ (all_0_129_129 = e22)
% 13.51/3.55 | (287) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0))
% 13.51/3.55 | (288) op2(e21, e23) = all_0_129_129
% 13.51/3.55 | (289) ~ (all_0_135_135 = all_0_146_146)
% 13.51/3.55 | (290) all_0_129_129 = e23 | all_0_130_130 = e23 | all_0_131_131 = e23 | all_0_132_132 = e23
% 13.51/3.55 | (291) ~ (all_0_138_138 = e10)
% 13.51/3.55 | (292) h4(all_0_141_141) = all_0_6_6
% 13.51/3.55 | (293) ~ (e23 = e21)
% 13.51/3.55 | (294) op2(e21, all_0_104_104) = all_0_41_41
% 13.51/3.55 | (295) all_0_141_141 = e13 | all_0_141_141 = e12 | all_0_141_141 = e10
% 13.51/3.55 | (296) op2(all_0_123_123, e23) = all_0_102_102
% 13.51/3.55 | (297) op2(all_0_131_131, e21) = all_0_104_104
% 13.51/3.55 | (298) ~ (e22 = e13)
% 13.51/3.55 | (299) ~ (e22 = e12)
% 13.51/3.55 | (300) op2(all_0_94_94, all_0_94_94) = all_0_31_31
% 13.51/3.55 | (301) ~ (all_0_135_135 = e10)
% 13.51/3.55 | (302) ~ (e13 = e12)
% 13.51/3.55 | (303) h2(e11) = all_0_95_95
% 13.51/3.55 | (304) all_0_130_130 = e22 | all_0_131_131 = e22 | all_0_132_132 = e22
% 13.51/3.55 | (305) all_0_125_125 = e23 | all_0_129_129 = e23
% 13.51/3.55 | (306) ~ (e11 = e10)
% 13.51/3.55 | (307) op1(e13, e11) = all_0_136_136
% 13.51/3.55 | (308) ~ (all_0_146_146 = e12)
% 13.51/3.55 | (309) op1(e13, e12) = all_0_135_135
% 13.51/3.55 | (310) h4(all_0_140_140) = all_0_5_5
% 13.51/3.56 | (311) op2(all_0_126_126, all_0_99_99) = all_0_36_36
% 13.51/3.56 | (312) ~ (all_0_133_133 = e21)
% 13.51/3.56 | (313) op1(all_0_142_142, e11) = all_0_110_110
% 13.51/3.56 | (314) op2(all_0_94_94, all_0_126_126) = all_0_33_33
% 13.51/3.56 | (315) op1(all_0_137_137, e13) = all_0_119_119
% 13.51/3.56 | (316) all_0_115_115 = all_0_136_136 | all_0_116_116 = all_0_140_140 | all_0_117_117 = all_0_144_144 | all_0_118_118 = all_0_147_147
% 13.51/3.56 | (317) ~ (all_0_124_124 = all_0_128_128)
% 13.51/3.56 | (318) op2(e22, e20) = all_0_128_128
% 13.51/3.56 | (319) ~ (all_0_139_139 = all_0_140_140)
% 13.51/3.56 | (320) ~ (all_0_145_145 = e11)
% 13.51/3.56 | (321) all_0_124_124 = e22 | all_0_128_128 = e22 | all_0_132_132 = e22
% 13.51/3.56 | (322) op1(e11, e10) = all_0_145_145
% 13.51/3.56 | (323) ~ (e23 = e11)
% 13.51/3.56 | (324) ~ (all_0_122_122 = all_0_124_124)
% 13.51/3.56 | (325) all_0_147_147 = e13 | all_0_147_147 = e10
% 13.51/3.56 | (326) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 13.51/3.56 | (327) all_0_143_143 = e10 | all_0_144_144 = e10 | all_0_145_145 = e10
% 13.51/3.56 | (328) ~ (e12 = e11)
% 13.51/3.56 | (329) ~ (all_0_137_137 = e11)
% 13.51/3.56 | (330) all_0_133_133 = e20 | all_0_134_134 = e20
% 13.51/3.56 | (331) op2(e20, e20) = e21
% 13.51/3.56 | (332) ~ (all_0_139_139 = all_0_143_143)
% 13.51/3.56 | (333) h4(e10) = e20
% 13.51/3.56 | (334) ~ (e21 = e12)
% 13.51/3.56 | (335) op2(all_0_133_133, e20) = all_0_101_101
% 13.51/3.56 | (336) all_0_139_139 = e12 | all_0_140_140 = e12 | all_0_141_141 = e12
% 13.51/3.56 | (337) ~ (all_0_125_125 = all_0_126_126)
% 13.51/3.56 | (338) h2(all_0_140_140) = all_0_52_52
% 13.51/3.56 | (339) ~ (e21 = e20)
% 13.51/3.56 | (340) ~ (all_0_126_126 = all_0_127_127)
% 13.51/3.56 | (341) ~ (all_0_146_146 = all_0_147_147)
% 13.51/3.56 | (342) ~ (all_0_128_128 = e21)
% 13.51/3.56 | (343) all_0_138_138 = e13 | all_0_142_142 = e13
% 13.51/3.56 | (344) op1(e10, e13) = e12
% 13.51/3.56 | (345) ~ (all_0_136_136 = e10)
% 13.51/3.56 | (346) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0))
% 13.51/3.56 | (347) ~ (all_0_131_131 = all_0_132_132)
% 13.51/3.56 | (348) ~ (e21 = e13)
% 13.51/3.56 | (349) op2(all_0_128_128, e22) = all_0_107_107
% 13.51/3.56 | (350) all_0_131_131 = e23 | all_0_131_131 = e22 | all_0_131_131 = e21 | all_0_131_131 = e20
% 13.51/3.56 | (351) all_0_124_124 = e23 | all_0_124_124 = e22
% 13.51/3.56 | (352) ~ (all_0_140_140 = all_0_147_147)
% 13.51/3.56 | (353) ~ (all_0_122_122 = all_0_130_130)
% 13.51/3.56 | (354) ~ (all_0_122_122 = e20)
% 13.51/3.56 | (355) op2(all_0_127_127, e22) = all_0_103_103
% 13.51/3.56 | (356) op2(e21, all_0_131_131) = all_0_92_92
% 13.51/3.56 | (357) op2(e22, e21) = all_0_127_127
% 13.51/3.56 | (358) all_0_123_123 = e21 | all_0_127_127 = e21 | all_0_131_131 = e21
% 13.51/3.56 | (359) ~ (all_0_127_127 = all_0_134_134)
% 13.51/3.56 | (360) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0))
% 13.51/3.56 | (361) ~ (all_0_123_123 = all_0_134_134)
% 13.51/3.56 | (362) op2(e20, e22) = all_0_133_133
% 13.51/3.56 | (363) ~ (e13 = e11)
% 13.51/3.56 | (364) all_0_137_137 = e13 | (all_0_139_139 = e11 & all_0_140_140 = e12 & ~ (all_0_142_142 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_144_144 = e11) & ~ (all_0_145_145 = e10)) | (all_0_139_139 = e10 & all_0_141_141 = e12) | (all_0_142_142 = e11 & all_0_144_144 = e13 & ~ (all_0_135_135 = e12) & ~ (all_0_136_136 = e11)) | (all_0_143_143 = e11 & all_0_144_144 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_139_139 = e12) & ~ (all_0_140_140 = e11) & ~ (all_0_141_141 = e10)) | (all_0_147_147 = e10 & ~ (all_0_142_142 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_144_144 = e11) & ~ (all_0_145_145 = e10))
% 13.51/3.56 | (365) h2(all_0_142_142) = all_0_56_56
% 13.51/3.56 | (366) ~ (all_0_124_124 = e21)
% 13.51/3.56 | (367) h3(e10) = all_0_126_126
% 13.51/3.56 | (368) op2(all_0_131_131, all_0_131_131) = all_0_68_68
% 13.51/3.56 | (369) op2(all_0_104_104, all_0_131_131) = all_0_53_53
% 13.51/3.56 | (370) op2(all_0_99_99, e22) = all_0_19_19
% 13.51/3.56 | (371) h2(all_0_141_141) = all_0_54_54
% 13.51/3.56 | (372) op2(e21, e22) = all_0_130_130
% 13.51/3.56 | (373) all_0_145_145 = e13 | all_0_145_145 = e12 | all_0_145_145 = e10
% 13.51/3.56 | (374) op2(all_0_131_131, all_0_104_104) = all_0_64_64
% 13.51/3.56 | (375) ~ (all_0_144_144 = all_0_145_145)
% 13.51/3.56 | (376) all_0_134_134 = e23 | all_0_134_134 = e20
% 13.51/3.56 | (377) all_0_142_142 = e11 | all_0_143_143 = e11 | all_0_144_144 = e11
% 13.51/3.56 | (378) ~ (all_0_144_144 = all_0_147_147)
% 13.51/3.56 | (379) h1(all_0_142_142) = all_0_83_83
% 13.51/3.56 | (380) op2(all_0_126_126, all_0_94_94) = all_0_38_38
% 13.51/3.56 | (381) ~ (all_0_147_147 = e12)
% 13.51/3.56 | (382) ~ (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_99_99) | ~ (all_0_36_36 = all_0_37_37) | ~ (all_0_38_38 = all_0_39_39) | ~ (all_0_40_40 = all_0_94_94) | ( ~ (all_0_94_94 = e23) & ~ (all_0_99_99 = e23) & ~ (all_0_126_126 = e23)) | ( ~ (all_0_94_94 = e21) & ~ (all_0_99_99 = e21) & ~ (all_0_126_126 = e21)) | ( ~ (all_0_94_94 = e20) & ~ (all_0_99_99 = e20) & ~ (all_0_126_126 = e20))
% 13.51/3.56 | (383) ~ (all_0_129_129 = all_0_130_130)
% 13.51/3.56 | (384) ~ (e22 = e10)
% 13.51/3.56 | (385) all_0_140_140 = e10 | all_0_144_144 = e10 | all_0_147_147 = e10
% 13.51/3.56 | (386) h2(all_0_135_135) = all_0_42_42
% 13.51/3.56 | (387) h1(e13) = e20
% 13.51/3.56 | (388) ~ (all_0_126_126 = all_0_130_130)
% 13.51/3.56 | (389) all_0_136_136 = e12 | all_0_140_140 = e12 | all_0_144_144 = e12
% 13.51/3.56 |
% 13.51/3.56 | Instantiating formula (3) with all_0_126_126, all_0_126_126, all_0_94_94, all_0_40_40 and discharging atoms op2(all_0_126_126, all_0_126_126) = all_0_40_40, op2(all_0_126_126, all_0_126_126) = all_0_94_94, yields:
% 13.51/3.56 | (390) all_0_40_40 = all_0_94_94
% 13.51/3.56 |
% 13.51/3.56 | Instantiating formula (3) with all_0_126_126, e22, all_0_99_99, all_0_35_35 and discharging atoms op2(all_0_126_126, e22) = all_0_35_35, op2(all_0_126_126, e22) = all_0_99_99, yields:
% 13.51/3.56 | (391) all_0_35_35 = all_0_99_99
% 13.51/3.56 |
% 13.51/3.56 | Instantiating formula (3) with all_0_131_131, all_0_131_131, all_0_86_86, all_0_68_68 and discharging atoms op2(all_0_131_131, all_0_131_131) = all_0_68_68, op2(all_0_131_131, all_0_131_131) = all_0_86_86, yields:
% 13.51/3.56 | (392) all_0_68_68 = all_0_86_86
% 13.51/3.56 |
% 13.51/3.56 | Instantiating formula (3) with all_0_131_131, all_0_131_131, all_0_95_95, all_0_68_68 and discharging atoms op2(all_0_131_131, all_0_131_131) = all_0_68_68, op2(all_0_131_131, all_0_131_131) = all_0_95_95, yields:
% 13.51/3.56 | (393) all_0_68_68 = all_0_95_95
% 13.51/3.56 |
% 13.51/3.56 | Instantiating formula (3) with all_0_131_131, e21, all_0_88_88, all_0_63_63 and discharging atoms op2(all_0_131_131, e21) = all_0_63_63, op2(all_0_131_131, e21) = all_0_88_88, yields:
% 13.51/3.56 | (394) all_0_63_63 = all_0_88_88
% 13.51/3.56 |
% 13.51/3.56 | Instantiating formula (3) with all_0_131_131, e21, all_0_104_104, all_0_63_63 and discharging atoms op2(all_0_131_131, e21) = all_0_63_63, op2(all_0_131_131, e21) = all_0_104_104, yields:
% 13.51/3.56 | (395) all_0_63_63 = all_0_104_104
% 13.51/3.56 |
% 13.51/3.56 | Instantiating formula (3) with all_0_132_132, e21, all_0_108_108, all_0_80_80 and discharging atoms op2(all_0_132_132, e21) = all_0_80_80, op2(all_0_132_132, e21) = all_0_108_108, yields:
% 13.51/3.56 | (396) all_0_80_80 = all_0_108_108
% 13.51/3.56 |
% 13.51/3.57 | Combining equations (395,394) yields a new equation:
% 13.51/3.57 | (397) all_0_88_88 = all_0_104_104
% 13.51/3.57 |
% 13.51/3.57 | Combining equations (393,392) yields a new equation:
% 13.51/3.57 | (398) all_0_86_86 = all_0_95_95
% 13.51/3.57 |
% 13.51/3.57 | From (390) and (61) follows:
% 13.51/3.57 | (30) op2(all_0_126_126, all_0_126_126) = all_0_94_94
% 13.51/3.57 |
% 13.51/3.57 | From (391) and (25) follows:
% 13.51/3.57 | (204) op2(all_0_126_126, e22) = all_0_99_99
% 13.51/3.57 |
% 13.51/3.57 | From (398) and (190) follows:
% 13.51/3.57 | (48) op2(all_0_131_131, all_0_131_131) = all_0_95_95
% 13.51/3.57 |
% 13.51/3.57 | From (397) and (9) follows:
% 13.51/3.57 | (297) op2(all_0_131_131, e21) = all_0_104_104
% 13.51/3.57 |
% 13.51/3.57 | From (396) and (237) follows:
% 13.51/3.57 | (14) op2(all_0_132_132, e21) = all_0_108_108
% 13.51/3.57 |
% 13.51/3.57 +-Applying beta-rule and splitting (175), into two cases.
% 13.51/3.57 |-Branch one:
% 13.51/3.57 | (404) all_0_125_125 = e21
% 13.51/3.57 |
% 13.51/3.57 | Equations (404) can reduce 249 to:
% 13.51/3.57 | (405) ~ (all_0_127_127 = e21)
% 13.51/3.57 |
% 13.51/3.57 | Simplifying 405 yields:
% 13.51/3.57 | (406) ~ (all_0_127_127 = e21)
% 13.51/3.57 |
% 13.51/3.57 | Equations (404) can reduce 128 to:
% 13.51/3.57 | (407) ~ (all_0_128_128 = e21)
% 13.51/3.57 |
% 13.51/3.57 | Simplifying 407 yields:
% 13.51/3.57 | (342) ~ (all_0_128_128 = e21)
% 13.51/3.57 |
% 13.51/3.57 | Equations (404) can reduce 242 to:
% 13.51/3.57 | (409) ~ (all_0_129_129 = e21)
% 13.51/3.57 |
% 13.51/3.57 | Simplifying 409 yields:
% 13.51/3.57 | (410) ~ (all_0_129_129 = e21)
% 13.51/3.57 |
% 13.51/3.57 | From (404) and (139) follows:
% 13.51/3.57 | (411) op2(e21, e22) = all_0_96_96
% 13.51/3.57 |
% 13.51/3.57 | From (404) and (263) follows:
% 13.51/3.57 | (412) op2(e22, e23) = e21
% 13.51/3.57 |
% 13.51/3.57 +-Applying beta-rule and splitting (38), into two cases.
% 13.51/3.57 |-Branch one:
% 13.51/3.57 | (413) all_0_129_129 = e21
% 13.51/3.57 |
% 13.51/3.57 | Equations (413) can reduce 410 to:
% 13.51/3.57 | (414) $false
% 13.51/3.57 |
% 13.51/3.57 |-The branch is then unsatisfiable
% 13.51/3.57 |-Branch two:
% 13.51/3.57 | (410) ~ (all_0_129_129 = e21)
% 13.51/3.57 | (416) all_0_129_129 = e23
% 13.51/3.57 |
% 13.51/3.57 | Equations (416) can reduce 91 to:
% 13.51/3.57 | (417) ~ (all_0_131_131 = e23)
% 13.51/3.57 |
% 13.51/3.57 | Simplifying 417 yields:
% 13.51/3.57 | (418) ~ (all_0_131_131 = e23)
% 13.51/3.57 |
% 13.51/3.57 | Equations (416) can reduce 286 to:
% 13.51/3.57 | (40) ~ (e23 = e22)
% 13.51/3.57 |
% 13.51/3.57 | Equations (416) can reduce 410 to:
% 13.51/3.57 | (293) ~ (e23 = e21)
% 13.51/3.57 |
% 13.51/3.57 | From (416) and (182) follows:
% 13.51/3.57 | (421) op2(e23, e21) = all_0_97_97
% 13.51/3.57 |
% 13.51/3.57 | From (416) and (288) follows:
% 13.51/3.57 | (422) op2(e21, e23) = e23
% 13.51/3.57 |
% 13.51/3.57 | Instantiating formula (3) with e23, e21, all_0_97_97, all_0_123_123 and discharging atoms op2(e23, e21) = all_0_97_97, op2(e23, e21) = all_0_123_123, yields:
% 13.51/3.57 | (423) all_0_97_97 = all_0_123_123
% 13.51/3.57 |
% 13.51/3.57 | Instantiating formula (3) with e21, e22, all_0_96_96, all_0_130_130 and discharging atoms op2(e21, e22) = all_0_96_96, op2(e21, e22) = all_0_130_130, yields:
% 13.51/3.57 | (424) all_0_96_96 = all_0_130_130
% 13.51/3.57 |
% 13.51/3.57 +-Applying beta-rule and splitting (351), into two cases.
% 13.51/3.57 |-Branch one:
% 13.51/3.57 | (425) all_0_124_124 = e22
% 13.51/3.57 |
% 13.51/3.57 | Equations (425) can reduce 324 to:
% 13.51/3.57 | (426) ~ (all_0_122_122 = e22)
% 13.51/3.57 |
% 13.51/3.57 | Equations (425) can reduce 317 to:
% 13.51/3.57 | (427) ~ (all_0_128_128 = e22)
% 13.51/3.57 |
% 13.51/3.57 | Simplifying 427 yields:
% 13.51/3.57 | (428) ~ (all_0_128_128 = e22)
% 13.51/3.57 |
% 13.51/3.57 +-Applying beta-rule and splitting (96), into two cases.
% 13.51/3.57 |-Branch one:
% 13.51/3.57 | (429) all_0_124_124 = e23
% 13.51/3.57 |
% 13.51/3.57 | Combining equations (429,425) yields a new equation:
% 13.51/3.57 | (430) e23 = e22
% 13.51/3.57 |
% 13.51/3.57 | Simplifying 430 yields:
% 13.51/3.57 | (431) e23 = e22
% 13.51/3.57 |
% 13.51/3.57 | Equations (431) can reduce 40 to:
% 13.51/3.57 | (414) $false
% 13.51/3.57 |
% 13.51/3.57 |-The branch is then unsatisfiable
% 13.51/3.57 |-Branch two:
% 13.51/3.57 | (433) ~ (all_0_124_124 = e23)
% 13.51/3.57 | (434) (all_0_126_126 = e21 & all_0_127_127 = e22 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e21) & ~ (all_0_132_132 = e20)) | (all_0_126_126 = e20 & all_0_128_128 = e22) | (all_0_129_129 = e21 & all_0_131_131 = e23 & ~ (all_0_122_122 = e22) & ~ (all_0_123_123 = e21)) | (all_0_130_130 = e21 & all_0_131_131 = e22 & ~ (all_0_125_125 = e23) & ~ (all_0_126_126 = e22) & ~ (all_0_127_127 = e21) & ~ (all_0_128_128 = e20)) | (all_0_134_134 = e20 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e21) & ~ (all_0_132_132 = e20))
% 13.51/3.57 |
% 13.51/3.57 +-Applying beta-rule and splitting (434), into two cases.
% 13.51/3.57 |-Branch one:
% 13.51/3.57 | (435) (all_0_126_126 = e21 & all_0_127_127 = e22 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e21) & ~ (all_0_132_132 = e20)) | (all_0_126_126 = e20 & all_0_128_128 = e22) | (all_0_129_129 = e21 & all_0_131_131 = e23 & ~ (all_0_122_122 = e22) & ~ (all_0_123_123 = e21)) | (all_0_130_130 = e21 & all_0_131_131 = e22 & ~ (all_0_125_125 = e23) & ~ (all_0_126_126 = e22) & ~ (all_0_127_127 = e21) & ~ (all_0_128_128 = e20))
% 13.51/3.57 |
% 13.51/3.57 +-Applying beta-rule and splitting (435), into two cases.
% 13.51/3.57 |-Branch one:
% 13.51/3.57 | (436) (all_0_126_126 = e21 & all_0_127_127 = e22 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e21) & ~ (all_0_132_132 = e20)) | (all_0_126_126 = e20 & all_0_128_128 = e22) | (all_0_129_129 = e21 & all_0_131_131 = e23 & ~ (all_0_122_122 = e22) & ~ (all_0_123_123 = e21))
% 13.51/3.57 |
% 13.51/3.57 +-Applying beta-rule and splitting (436), into two cases.
% 13.51/3.57 |-Branch one:
% 13.51/3.57 | (437) (all_0_126_126 = e21 & all_0_127_127 = e22 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e21) & ~ (all_0_132_132 = e20)) | (all_0_126_126 = e20 & all_0_128_128 = e22)
% 13.51/3.57 |
% 13.51/3.57 +-Applying beta-rule and splitting (437), into two cases.
% 13.51/3.57 |-Branch one:
% 13.51/3.57 | (438) all_0_126_126 = e21 & all_0_127_127 = e22 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e21) & ~ (all_0_132_132 = e20)
% 13.51/3.57 |
% 13.51/3.57 | Applying alpha-rule on (438) yields:
% 13.51/3.57 | (439) ~ (all_0_129_129 = e23)
% 13.51/3.57 | (440) all_0_127_127 = e22
% 13.51/3.57 | (441) ~ (all_0_132_132 = e20)
% 13.51/3.57 | (442) all_0_126_126 = e21
% 13.51/3.57 | (443) ~ (all_0_131_131 = e21)
% 13.51/3.57 | (444) ~ (all_0_130_130 = e22)
% 13.51/3.57 |
% 13.51/3.57 | Equations (416) can reduce 439 to:
% 13.51/3.57 | (414) $false
% 13.51/3.57 |
% 13.51/3.57 |-The branch is then unsatisfiable
% 13.51/3.57 |-Branch two:
% 13.51/3.57 | (446) all_0_126_126 = e20 & all_0_128_128 = e22
% 13.51/3.57 |
% 13.51/3.57 | Applying alpha-rule on (446) yields:
% 13.51/3.57 | (447) all_0_126_126 = e20
% 13.51/3.57 | (448) all_0_128_128 = e22
% 13.51/3.57 |
% 13.51/3.57 | Equations (448) can reduce 428 to:
% 13.51/3.57 | (414) $false
% 13.51/3.57 |
% 13.51/3.57 |-The branch is then unsatisfiable
% 13.51/3.57 |-Branch two:
% 13.51/3.57 | (450) all_0_129_129 = e21 & all_0_131_131 = e23 & ~ (all_0_122_122 = e22) & ~ (all_0_123_123 = e21)
% 13.51/3.57 |
% 13.51/3.57 | Applying alpha-rule on (450) yields:
% 13.51/3.57 | (413) all_0_129_129 = e21
% 13.51/3.57 | (452) all_0_131_131 = e23
% 13.51/3.57 | (426) ~ (all_0_122_122 = e22)
% 13.51/3.57 | (454) ~ (all_0_123_123 = e21)
% 13.51/3.57 |
% 13.51/3.57 | Combining equations (413,416) yields a new equation:
% 13.51/3.58 | (455) e23 = e21
% 13.51/3.58 |
% 13.51/3.58 | Equations (455) can reduce 293 to:
% 13.51/3.58 | (414) $false
% 13.51/3.58 |
% 13.51/3.58 |-The branch is then unsatisfiable
% 13.51/3.58 |-Branch two:
% 13.51/3.58 | (457) all_0_130_130 = e21 & all_0_131_131 = e22 & ~ (all_0_125_125 = e23) & ~ (all_0_126_126 = e22) & ~ (all_0_127_127 = e21) & ~ (all_0_128_128 = e20)
% 13.51/3.58 |
% 13.51/3.58 | Applying alpha-rule on (457) yields:
% 13.51/3.58 | (458) ~ (all_0_128_128 = e20)
% 13.51/3.58 | (406) ~ (all_0_127_127 = e21)
% 13.51/3.58 | (460) ~ (all_0_125_125 = e23)
% 13.51/3.58 | (461) ~ (all_0_126_126 = e22)
% 13.51/3.58 | (462) all_0_131_131 = e22
% 13.51/3.58 | (463) all_0_130_130 = e21
% 13.51/3.58 |
% 13.51/3.58 | Equations (463) can reduce 353 to:
% 13.51/3.58 | (464) ~ (all_0_122_122 = e21)
% 13.51/3.58 |
% 13.51/3.58 | Equations (462) can reduce 90 to:
% 13.51/3.58 | (465) ~ (all_0_123_123 = e22)
% 13.51/3.58 |
% 13.51/3.58 +-Applying beta-rule and splitting (203), into two cases.
% 13.51/3.58 |-Branch one:
% 13.51/3.58 | (466) all_0_122_122 = e21
% 13.51/3.58 |
% 13.51/3.58 | Equations (466) can reduce 464 to:
% 13.51/3.58 | (414) $false
% 13.51/3.58 |
% 13.51/3.58 |-The branch is then unsatisfiable
% 13.51/3.58 |-Branch two:
% 13.51/3.58 | (464) ~ (all_0_122_122 = e21)
% 13.51/3.58 | (469) all_0_123_123 = e21
% 13.51/3.58 |
% 13.51/3.58 | Equations (469) can reduce 465 to:
% 13.51/3.58 | (470) ~ (e22 = e21)
% 13.51/3.58 |
% 13.51/3.58 | Simplifying 470 yields:
% 13.51/3.58 | (254) ~ (e22 = e21)
% 13.51/3.58 |
% 13.51/3.58 +-Applying beta-rule and splitting (148), into two cases.
% 13.51/3.58 |-Branch one:
% 13.51/3.58 | (472) all_0_122_122 = e22
% 13.51/3.58 |
% 13.51/3.58 | Equations (472) can reduce 426 to:
% 13.51/3.58 | (414) $false
% 13.51/3.58 |
% 13.51/3.58 |-The branch is then unsatisfiable
% 13.51/3.58 |-Branch two:
% 13.51/3.58 | (426) ~ (all_0_122_122 = e22)
% 13.51/3.58 | (475) all_0_126_126 = e22 | all_0_130_130 = e22
% 13.51/3.58 |
% 13.51/3.58 +-Applying beta-rule and splitting (475), into two cases.
% 13.51/3.58 |-Branch one:
% 13.51/3.58 | (476) all_0_126_126 = e22
% 13.51/3.58 |
% 13.51/3.58 | Equations (476) can reduce 461 to:
% 13.51/3.58 | (414) $false
% 13.51/3.58 |
% 13.51/3.58 |-The branch is then unsatisfiable
% 13.51/3.58 |-Branch two:
% 13.51/3.58 | (461) ~ (all_0_126_126 = e22)
% 13.51/3.58 | (479) all_0_130_130 = e22
% 13.51/3.58 |
% 13.51/3.58 | Combining equations (463,479) yields a new equation:
% 13.51/3.58 | (480) e22 = e21
% 13.51/3.58 |
% 13.51/3.58 | Equations (480) can reduce 254 to:
% 13.51/3.58 | (414) $false
% 13.51/3.58 |
% 13.51/3.58 |-The branch is then unsatisfiable
% 13.51/3.58 |-Branch two:
% 13.51/3.58 | (482) all_0_134_134 = e20 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e21) & ~ (all_0_132_132 = e20)
% 13.51/3.58 |
% 13.51/3.58 | Applying alpha-rule on (482) yields:
% 13.51/3.58 | (439) ~ (all_0_129_129 = e23)
% 13.51/3.58 | (441) ~ (all_0_132_132 = e20)
% 13.51/3.58 | (485) all_0_134_134 = e20
% 13.51/3.58 | (443) ~ (all_0_131_131 = e21)
% 13.51/3.58 | (444) ~ (all_0_130_130 = e22)
% 13.51/3.58 |
% 13.51/3.58 | Equations (416) can reduce 439 to:
% 13.51/3.58 | (414) $false
% 13.51/3.58 |
% 13.51/3.58 |-The branch is then unsatisfiable
% 13.51/3.58 |-Branch two:
% 13.51/3.58 | (489) ~ (all_0_124_124 = e22)
% 13.51/3.58 | (429) all_0_124_124 = e23
% 13.51/3.58 |
% 13.51/3.58 | Equations (429) can reduce 324 to:
% 13.51/3.58 | (491) ~ (all_0_122_122 = e23)
% 13.51/3.58 |
% 13.51/3.58 | Equations (429) can reduce 97 to:
% 13.51/3.58 | (492) ~ (all_0_123_123 = e23)
% 13.51/3.58 |
% 13.51/3.58 | Equations (429) can reduce 216 to:
% 13.51/3.58 | (493) ~ (all_0_132_132 = e23)
% 13.51/3.58 |
% 13.51/3.58 | Simplifying 493 yields:
% 13.51/3.58 | (494) ~ (all_0_132_132 = e23)
% 13.51/3.58 |
% 13.51/3.58 | From (429) and (219) follows:
% 13.51/3.58 | (495) op2(e23, e23) = all_0_106_106
% 13.51/3.58 |
% 13.51/3.58 | Instantiating formula (3) with e23, e23, all_0_106_106, e20 and discharging atoms op2(e23, e23) = all_0_106_106, op2(e23, e23) = e20, yields:
% 13.51/3.58 | (496) all_0_106_106 = e20
% 13.51/3.58 |
% 13.51/3.58 +-Applying beta-rule and splitting (203), into two cases.
% 13.51/3.58 |-Branch one:
% 13.51/3.58 | (466) all_0_122_122 = e21
% 13.51/3.58 |
% 13.51/3.58 | Equations (466) can reduce 34 to:
% 13.51/3.58 | (498) ~ (all_0_123_123 = e21)
% 13.51/3.58 |
% 13.51/3.58 | Simplifying 498 yields:
% 13.51/3.58 | (454) ~ (all_0_123_123 = e21)
% 13.51/3.58 |
% 13.51/3.58 | Equations (466) can reduce 353 to:
% 13.51/3.58 | (500) ~ (all_0_130_130 = e21)
% 13.51/3.58 |
% 13.51/3.58 | Simplifying 500 yields:
% 13.51/3.58 | (501) ~ (all_0_130_130 = e21)
% 13.51/3.58 |
% 13.51/3.58 | Equations (466) can reduce 69 to:
% 13.51/3.58 | (502) ~ (all_0_133_133 = e21)
% 13.51/3.58 |
% 13.51/3.58 | Simplifying 502 yields:
% 13.51/3.58 | (312) ~ (all_0_133_133 = e21)
% 13.51/3.58 |
% 13.51/3.58 +-Applying beta-rule and splitting (12), into two cases.
% 13.51/3.58 |-Branch one:
% 13.51/3.58 | (448) all_0_128_128 = e22
% 13.51/3.58 |
% 13.51/3.58 | Equations (448) can reduce 94 to:
% 13.51/3.58 | (461) ~ (all_0_126_126 = e22)
% 13.51/3.58 |
% 13.51/3.58 | Equations (448) can reduce 342 to:
% 13.51/3.58 | (254) ~ (e22 = e21)
% 13.51/3.58 |
% 13.51/3.58 | From (448) and (349) follows:
% 13.51/3.58 | (507) op2(e22, e22) = all_0_107_107
% 13.51/3.58 |
% 13.51/3.58 +-Applying beta-rule and splitting (228), into two cases.
% 13.51/3.58 |-Branch one:
% 13.51/3.58 | (508) all_0_128_128 = e20
% 13.51/3.58 |
% 13.51/3.58 | Combining equations (448,508) yields a new equation:
% 13.51/3.58 | (509) e22 = e20
% 13.51/3.58 |
% 13.51/3.58 | Simplifying 509 yields:
% 13.51/3.58 | (510) e22 = e20
% 13.51/3.58 |
% 13.51/3.58 | Equations (510) can reduce 123 to:
% 13.51/3.58 | (414) $false
% 13.51/3.58 |
% 13.51/3.58 |-The branch is then unsatisfiable
% 13.51/3.58 |-Branch two:
% 13.51/3.58 | (458) ~ (all_0_128_128 = e20)
% 13.51/3.58 | (513) all_0_132_132 = e20
% 13.51/3.58 |
% 13.51/3.58 | Equations (513) can reduce 494 to:
% 13.51/3.58 | (514) ~ (e23 = e20)
% 13.51/3.58 |
% 13.51/3.58 | Simplifying 514 yields:
% 13.51/3.58 | (278) ~ (e23 = e20)
% 13.51/3.58 |
% 13.51/3.58 | From (513) and (14) follows:
% 13.51/3.58 | (516) op2(e20, e21) = all_0_108_108
% 13.51/3.58 |
% 13.51/3.58 +-Applying beta-rule and splitting (358), into two cases.
% 13.51/3.58 |-Branch one:
% 13.51/3.58 | (469) all_0_123_123 = e21
% 13.51/3.58 |
% 13.51/3.58 | Equations (469) can reduce 454 to:
% 13.51/3.58 | (414) $false
% 13.51/3.58 |
% 13.51/3.58 |-The branch is then unsatisfiable
% 13.51/3.58 |-Branch two:
% 13.51/3.58 | (454) ~ (all_0_123_123 = e21)
% 13.51/3.58 | (520) all_0_127_127 = e21 | all_0_131_131 = e21
% 13.51/3.58 |
% 13.51/3.58 +-Applying beta-rule and splitting (520), into two cases.
% 13.51/3.58 |-Branch one:
% 13.51/3.58 | (521) all_0_127_127 = e21
% 13.51/3.58 |
% 13.51/3.58 | Equations (521) can reduce 406 to:
% 13.51/3.58 | (414) $false
% 13.51/3.58 |
% 13.51/3.58 |-The branch is then unsatisfiable
% 13.51/3.58 |-Branch two:
% 13.51/3.58 | (406) ~ (all_0_127_127 = e21)
% 13.51/3.58 | (524) all_0_131_131 = e21
% 13.51/3.58 |
% 13.51/3.58 | Equations (524) can reduce 90 to:
% 13.51/3.58 | (454) ~ (all_0_123_123 = e21)
% 13.51/3.58 |
% 13.51/3.58 +-Applying beta-rule and splitting (148), into two cases.
% 13.51/3.58 |-Branch one:
% 13.51/3.58 | (472) all_0_122_122 = e22
% 13.51/3.58 |
% 13.51/3.58 | Combining equations (466,472) yields a new equation:
% 13.51/3.58 | (480) e22 = e21
% 13.51/3.58 |
% 13.51/3.58 | Equations (480) can reduce 254 to:
% 13.51/3.58 | (414) $false
% 13.51/3.58 |
% 13.51/3.58 |-The branch is then unsatisfiable
% 13.51/3.58 |-Branch two:
% 13.51/3.58 | (426) ~ (all_0_122_122 = e22)
% 13.51/3.59 | (475) all_0_126_126 = e22 | all_0_130_130 = e22
% 13.51/3.59 |
% 13.51/3.59 +-Applying beta-rule and splitting (475), into two cases.
% 13.51/3.59 |-Branch one:
% 13.51/3.59 | (476) all_0_126_126 = e22
% 13.51/3.59 |
% 13.51/3.59 | Equations (476) can reduce 461 to:
% 13.51/3.59 | (414) $false
% 13.51/3.59 |
% 13.51/3.59 |-The branch is then unsatisfiable
% 13.51/3.59 |-Branch two:
% 13.51/3.59 | (461) ~ (all_0_126_126 = e22)
% 13.51/3.59 | (479) all_0_130_130 = e22
% 13.51/3.59 |
% 13.51/3.59 | Equations (479) can reduce 388 to:
% 13.51/3.59 | (461) ~ (all_0_126_126 = e22)
% 13.51/3.59 |
% 13.51/3.59 | Equations (479) can reduce 33 to:
% 13.51/3.59 | (536) ~ (all_0_133_133 = e22)
% 13.51/3.59 |
% 13.51/3.59 | Simplifying 536 yields:
% 13.51/3.59 | (60) ~ (all_0_133_133 = e22)
% 13.51/3.59 |
% 13.51/3.59 +-Applying beta-rule and splitting (143), into two cases.
% 13.51/3.59 |-Branch one:
% 13.51/3.59 | (538) all_0_123_123 = e22
% 13.51/3.59 |
% 13.51/3.59 | Equations (538) can reduce 361 to:
% 13.51/3.59 | (539) ~ (all_0_134_134 = e22)
% 13.51/3.59 |
% 13.51/3.59 | Simplifying 539 yields:
% 13.51/3.59 | (52) ~ (all_0_134_134 = e22)
% 13.51/3.59 |
% 13.51/3.59 | Instantiating formula (3) with e22, e22, all_0_107_107, all_0_126_126 and discharging atoms op2(e22, e22) = all_0_107_107, op2(e22, e22) = all_0_126_126, yields:
% 13.51/3.59 | (541) all_0_107_107 = all_0_126_126
% 13.51/3.59 |
% 13.51/3.59 | Instantiating formula (3) with e20, e21, all_0_108_108, all_0_134_134 and discharging atoms op2(e20, e21) = all_0_108_108, op2(e20, e21) = all_0_134_134, yields:
% 13.51/3.59 | (542) all_0_108_108 = all_0_134_134
% 13.51/3.59 |
% 13.51/3.59 +-Applying beta-rule and splitting (206), into two cases.
% 13.51/3.59 |-Branch one:
% 13.51/3.59 | (543) all_0_106_106 = all_0_124_124
% 13.51/3.59 |
% 13.51/3.59 | Combining equations (496,543) yields a new equation:
% 13.51/3.59 | (544) all_0_124_124 = e20
% 13.51/3.59 |
% 13.51/3.59 | Combining equations (544,429) yields a new equation:
% 13.51/3.59 | (545) e23 = e20
% 13.51/3.59 |
% 13.51/3.59 | Equations (545) can reduce 278 to:
% 13.74/3.59 | (414) $false
% 13.74/3.59 |
% 13.74/3.59 |-The branch is then unsatisfiable
% 13.74/3.59 |-Branch two:
% 13.74/3.59 | (547) ~ (all_0_106_106 = all_0_124_124)
% 13.74/3.59 | (548) all_0_107_107 = all_0_128_128 | all_0_108_108 = all_0_132_132
% 13.74/3.59 |
% 13.74/3.59 +-Applying beta-rule and splitting (548), into two cases.
% 13.74/3.59 |-Branch one:
% 13.74/3.59 | (549) all_0_107_107 = all_0_128_128
% 13.74/3.59 |
% 13.74/3.59 | Combining equations (541,549) yields a new equation:
% 13.74/3.59 | (550) all_0_126_126 = all_0_128_128
% 13.74/3.59 |
% 13.74/3.59 | Simplifying 550 yields:
% 13.74/3.59 | (551) all_0_126_126 = all_0_128_128
% 13.74/3.59 |
% 13.74/3.59 | Combining equations (448,551) yields a new equation:
% 13.74/3.59 | (476) all_0_126_126 = e22
% 13.74/3.59 |
% 13.74/3.59 | Equations (476) can reduce 461 to:
% 13.74/3.59 | (414) $false
% 13.74/3.59 |
% 13.74/3.59 |-The branch is then unsatisfiable
% 13.74/3.59 |-Branch two:
% 13.74/3.59 | (554) ~ (all_0_107_107 = all_0_128_128)
% 13.74/3.59 | (555) all_0_108_108 = all_0_132_132
% 13.74/3.59 |
% 13.74/3.59 | Combining equations (542,555) yields a new equation:
% 13.74/3.59 | (556) all_0_132_132 = all_0_134_134
% 13.74/3.59 |
% 13.74/3.59 | Combining equations (513,556) yields a new equation:
% 13.74/3.59 | (485) all_0_134_134 = e20
% 13.74/3.59 |
% 13.74/3.59 | Combining equations (485,556) yields a new equation:
% 13.74/3.59 | (513) all_0_132_132 = e20
% 13.74/3.59 |
% 13.74/3.59 | Equations (485) can reduce 68 to:
% 13.74/3.59 | (559) ~ (all_0_133_133 = e20)
% 13.74/3.59 |
% 13.74/3.59 | Equations (485) can reduce 52 to:
% 13.74/3.59 | (560) ~ (e22 = e20)
% 13.74/3.59 |
% 13.74/3.59 | Simplifying 560 yields:
% 13.74/3.59 | (123) ~ (e22 = e20)
% 13.74/3.59 |
% 13.74/3.59 +-Applying beta-rule and splitting (145), into two cases.
% 13.74/3.59 |-Branch one:
% 13.74/3.59 | (447) all_0_126_126 = e20
% 13.74/3.59 |
% 13.74/3.59 | Equations (447) can reduce 184 to:
% 13.74/3.59 | (563) ~ (all_0_133_133 = e20)
% 13.74/3.59 |
% 13.74/3.59 | Simplifying 563 yields:
% 13.74/3.59 | (559) ~ (all_0_133_133 = e20)
% 13.74/3.59 |
% 13.74/3.59 +-Applying beta-rule and splitting (73), into two cases.
% 13.74/3.59 |-Branch one:
% 13.74/3.59 | (565) all_0_133_133 = e23
% 13.74/3.59 |
% 13.74/3.59 | Equations (565) can reduce 60 to:
% 13.74/3.59 | (40) ~ (e23 = e22)
% 13.74/3.59 |
% 13.74/3.59 | Equations (565) can reduce 312 to:
% 13.74/3.59 | (293) ~ (e23 = e21)
% 13.74/3.59 |
% 13.74/3.59 | Equations (565) can reduce 559 to:
% 13.74/3.59 | (278) ~ (e23 = e20)
% 13.74/3.59 |
% 13.74/3.59 +-Applying beta-rule and splitting (258), into two cases.
% 13.74/3.59 |-Branch one:
% 13.74/3.59 | (569) all_0_123_123 = e23
% 13.74/3.59 |
% 13.74/3.59 | Combining equations (538,569) yields a new equation:
% 13.74/3.59 | (431) e23 = e22
% 13.74/3.59 |
% 13.74/3.59 | Equations (431) can reduce 40 to:
% 13.74/3.59 | (414) $false
% 13.74/3.59 |
% 13.74/3.59 |-The branch is then unsatisfiable
% 13.74/3.59 |-Branch two:
% 13.74/3.59 | (492) ~ (all_0_123_123 = e23)
% 13.74/3.59 | (573) all_0_127_127 = e23 | all_0_131_131 = e23 | all_0_134_134 = e23
% 13.74/3.59 |
% 13.74/3.59 +-Applying beta-rule and splitting (573), into two cases.
% 13.74/3.59 |-Branch one:
% 13.74/3.59 | (574) all_0_127_127 = e23
% 13.74/3.59 |
% 13.74/3.59 +-Applying beta-rule and splitting (229), into two cases.
% 13.74/3.59 |-Branch one:
% 13.74/3.59 | (575) all_0_142_142 = e13
% 13.74/3.59 |
% 13.74/3.59 | Equations (575) can reduce 159 to:
% 13.74/3.59 | (576) ~ (all_0_138_138 = e13)
% 13.74/3.59 |
% 13.74/3.59 | Equations (575) can reduce 118 to:
% 13.74/3.59 | (577) ~ (all_0_143_143 = e13)
% 13.74/3.59 |
% 13.74/3.59 | Simplifying 577 yields:
% 13.74/3.59 | (578) ~ (all_0_143_143 = e13)
% 13.74/3.59 |
% 13.74/3.59 | Equations (575) can reduce 71 to:
% 13.74/3.59 | (579) ~ (all_0_144_144 = e13)
% 13.74/3.59 |
% 13.74/3.59 | Simplifying 579 yields:
% 13.74/3.59 | (580) ~ (all_0_144_144 = e13)
% 13.74/3.59 |
% 13.74/3.59 | From (575) and (313) follows:
% 13.74/3.59 | (581) op1(e13, e11) = all_0_110_110
% 13.74/3.59 |
% 13.74/3.59 | From (575) and (171) follows:
% 13.74/3.59 | (582) op1(e11, e13) = e13
% 13.74/3.59 |
% 13.74/3.59 | From (575) and (179) follows:
% 13.74/3.59 | (583) h4(e13) = all_0_7_7
% 13.74/3.59 |
% 13.74/3.59 +-Applying beta-rule and splitting (104), into two cases.
% 13.74/3.59 |-Branch one:
% 13.74/3.59 | (584) all_0_138_138 = e13
% 13.74/3.59 |
% 13.74/3.59 | Equations (584) can reduce 576 to:
% 13.74/3.59 | (414) $false
% 13.74/3.59 |
% 13.74/3.59 |-The branch is then unsatisfiable
% 13.74/3.59 |-Branch two:
% 13.74/3.59 | (576) ~ (all_0_138_138 = e13)
% 13.74/3.59 | (587) all_0_138_138 = e11
% 13.74/3.59 |
% 13.74/3.59 | Equations (587) can reduce 132 to:
% 13.74/3.59 | (588) ~ (all_0_139_139 = e11)
% 13.74/3.59 |
% 13.74/3.59 | Simplifying 588 yields:
% 13.74/3.59 | (589) ~ (all_0_139_139 = e11)
% 13.74/3.59 |
% 13.74/3.59 | Equations (587) can reduce 47 to:
% 13.74/3.59 | (590) ~ (all_0_140_140 = e11)
% 13.74/3.59 |
% 13.74/3.59 | Simplifying 590 yields:
% 13.74/3.59 | (591) ~ (all_0_140_140 = e11)
% 13.74/3.59 |
% 13.74/3.59 | Equations (587) can reduce 102 to:
% 13.74/3.59 | (592) ~ (all_0_141_141 = e11)
% 13.74/3.59 |
% 13.74/3.59 | Simplifying 592 yields:
% 13.74/3.59 | (207) ~ (all_0_141_141 = e11)
% 13.74/3.59 |
% 13.74/3.59 | Equations (587) can reduce 576 to:
% 13.74/3.59 | (594) ~ (e13 = e11)
% 13.74/3.60 |
% 13.74/3.60 | Simplifying 594 yields:
% 13.74/3.60 | (363) ~ (e13 = e11)
% 13.74/3.60 |
% 13.74/3.60 | From (587) and (7) follows:
% 13.74/3.60 | (596) op1(e11, e12) = all_0_109_109
% 13.74/3.60 |
% 13.74/3.60 | From (587) and (233) follows:
% 13.74/3.60 | (597) op1(e12, e13) = e11
% 13.74/3.60 |
% 13.74/3.60 | From (587) and (248) follows:
% 13.74/3.60 | (598) h4(e11) = all_0_3_3
% 13.74/3.60 |
% 13.74/3.60 | Instantiating formula (326) with e13, e11, all_0_110_110, all_0_136_136 and discharging atoms op1(e13, e11) = all_0_110_110, op1(e13, e11) = all_0_136_136, yields:
% 13.74/3.60 | (599) all_0_110_110 = all_0_136_136
% 13.74/3.60 |
% 13.74/3.60 | Instantiating formula (326) with e11, e12, all_0_109_109, all_0_143_143 and discharging atoms op1(e11, e12) = all_0_109_109, op1(e11, e12) = all_0_143_143, yields:
% 13.74/3.60 | (600) all_0_109_109 = all_0_143_143
% 13.74/3.60 |
% 13.74/3.60 | Instantiating formula (346) with e13, all_0_7_7, e23 and discharging atoms h4(e13) = all_0_7_7, h4(e13) = e23, yields:
% 13.74/3.60 | (601) all_0_7_7 = e23
% 13.74/3.60 |
% 13.74/3.60 | Instantiating formula (346) with e11, all_0_3_3, e21 and discharging atoms h4(e11) = all_0_3_3, h4(e11) = e21, yields:
% 13.74/3.60 | (602) all_0_3_3 = e21
% 13.74/3.60 |
% 13.74/3.60 | From (601) and (583) follows:
% 13.74/3.60 | (193) h4(e13) = e23
% 13.74/3.60 |
% 13.74/3.60 | From (602) and (598) follows:
% 13.74/3.60 | (151) h4(e11) = e21
% 13.74/3.60 |
% 13.74/3.60 +-Applying beta-rule and splitting (267), into two cases.
% 13.74/3.60 |-Branch one:
% 13.74/3.60 | (605) all_0_137_137 = e13
% 13.74/3.60 |
% 13.74/3.60 | Equations (605) can reduce 273 to:
% 13.74/3.60 | (606) ~ (all_0_141_141 = e13)
% 13.74/3.60 |
% 13.74/3.60 | Simplifying 606 yields:
% 13.74/3.60 | (607) ~ (all_0_141_141 = e13)
% 13.74/3.60 |
% 13.74/3.60 | Equations (605) can reduce 196 to:
% 13.74/3.60 | (608) ~ (all_0_145_145 = e13)
% 13.74/3.60 |
% 13.74/3.60 | Simplifying 608 yields:
% 13.74/3.60 | (609) ~ (all_0_145_145 = e13)
% 13.74/3.60 |
% 13.74/3.60 | From (605) and (315) follows:
% 13.74/3.60 | (610) op1(e13, e13) = all_0_119_119
% 13.74/3.60 |
% 13.74/3.60 | From (605) and (208) follows:
% 13.74/3.60 | (611) h4(e13) = all_0_2_2
% 13.74/3.60 |
% 13.74/3.60 | Instantiating formula (326) with e13, e13, all_0_119_119, e10 and discharging atoms op1(e13, e13) = all_0_119_119, op1(e13, e13) = e10, yields:
% 13.74/3.60 | (612) all_0_119_119 = e10
% 13.74/3.60 |
% 13.74/3.60 | Instantiating formula (346) with e13, all_0_2_2, e23 and discharging atoms h4(e13) = all_0_2_2, h4(e13) = e23, yields:
% 13.74/3.60 | (613) all_0_2_2 = e23
% 13.74/3.60 |
% 13.74/3.60 | From (613) and (611) follows:
% 13.74/3.60 | (193) h4(e13) = e23
% 13.74/3.60 |
% 13.74/3.60 +-Applying beta-rule and splitting (86), into two cases.
% 13.74/3.60 |-Branch one:
% 13.74/3.60 | (615) all_0_146_146 = e13
% 13.74/3.60 |
% 13.74/3.60 | Equations (615) can reduce 289 to:
% 13.74/3.60 | (616) ~ (all_0_135_135 = e13)
% 13.74/3.60 |
% 13.74/3.60 | Equations (615) can reduce 160 to:
% 13.74/3.60 | (617) ~ (all_0_139_139 = e13)
% 13.74/3.60 |
% 13.74/3.60 | Equations (615) can reduce 230 to:
% 13.74/3.60 | (578) ~ (all_0_143_143 = e13)
% 13.74/3.60 |
% 13.74/3.60 | Equations (615) can reduce 341 to:
% 13.74/3.60 | (619) ~ (all_0_147_147 = e13)
% 13.74/3.60 |
% 13.74/3.60 | Simplifying 619 yields:
% 13.74/3.60 | (620) ~ (all_0_147_147 = e13)
% 13.74/3.60 |
% 13.74/3.60 | Equations (615) can reduce 51 to:
% 13.74/3.60 | (363) ~ (e13 = e11)
% 13.74/3.60 |
% 13.74/3.60 | From (615) and (168) follows:
% 13.74/3.60 | (622) h4(e13) = all_0_11_11
% 13.74/3.60 |
% 13.74/3.60 +-Applying beta-rule and splitting (325), into two cases.
% 13.74/3.60 |-Branch one:
% 13.74/3.60 | (623) all_0_147_147 = e13
% 13.74/3.60 |
% 13.74/3.60 | Equations (623) can reduce 620 to:
% 13.74/3.60 | (414) $false
% 13.74/3.60 |
% 13.74/3.60 |-The branch is then unsatisfiable
% 13.74/3.60 |-Branch two:
% 13.74/3.60 | (620) ~ (all_0_147_147 = e13)
% 13.74/3.60 | (626) all_0_147_147 = e10
% 13.74/3.60 |
% 13.74/3.60 | Equations (626) can reduce 185 to:
% 13.74/3.60 | (345) ~ (all_0_136_136 = e10)
% 13.74/3.60 |
% 13.74/3.60 | Equations (626) can reduce 352 to:
% 13.74/3.60 | (628) ~ (all_0_140_140 = e10)
% 13.74/3.60 |
% 13.74/3.60 | Equations (626) can reduce 378 to:
% 13.74/3.60 | (629) ~ (all_0_144_144 = e10)
% 13.74/3.60 |
% 13.74/3.60 | Equations (626) can reduce 381 to:
% 13.74/3.60 | (630) ~ (e12 = e10)
% 13.74/3.60 |
% 13.74/3.60 | Simplifying 630 yields:
% 13.74/3.60 | (164) ~ (e12 = e10)
% 13.74/3.60 |
% 13.74/3.60 | From (626) and (105) follows:
% 13.74/3.60 | (632) op1(e10, e10) = all_0_118_118
% 13.74/3.60 |
% 13.74/3.60 | From (626) and (144) follows:
% 13.74/3.60 | (633) h4(e10) = all_0_12_12
% 13.74/3.60 |
% 13.74/3.60 +-Applying beta-rule and splitting (188), into two cases.
% 13.74/3.60 |-Branch one:
% 13.74/3.60 | (584) all_0_138_138 = e13
% 13.74/3.60 |
% 13.74/3.60 | Combining equations (584,587) yields a new equation:
% 13.74/3.60 | (635) e13 = e11
% 13.74/3.60 |
% 13.74/3.60 | Simplifying 635 yields:
% 13.74/3.60 | (636) e13 = e11
% 13.74/3.60 |
% 13.74/3.60 | Equations (636) can reduce 363 to:
% 13.74/3.60 | (414) $false
% 13.74/3.60 |
% 13.74/3.60 |-The branch is then unsatisfiable
% 13.74/3.60 |-Branch two:
% 13.74/3.60 | (576) ~ (all_0_138_138 = e13)
% 13.74/3.60 | (639) all_0_139_139 = e13 | all_0_140_140 = e13 | all_0_141_141 = e13
% 13.74/3.60 |
% 13.74/3.60 +-Applying beta-rule and splitting (639), into two cases.
% 13.74/3.60 |-Branch one:
% 13.74/3.60 | (640) all_0_139_139 = e13
% 13.74/3.60 |
% 13.74/3.60 | Equations (640) can reduce 617 to:
% 13.74/3.60 | (414) $false
% 13.74/3.60 |
% 13.74/3.60 |-The branch is then unsatisfiable
% 13.74/3.60 |-Branch two:
% 13.74/3.60 | (617) ~ (all_0_139_139 = e13)
% 13.74/3.60 | (643) all_0_140_140 = e13 | all_0_141_141 = e13
% 13.74/3.60 |
% 13.74/3.60 +-Applying beta-rule and splitting (643), into two cases.
% 13.74/3.60 |-Branch one:
% 13.74/3.60 | (644) all_0_140_140 = e13
% 13.74/3.60 |
% 13.74/3.60 | Equations (644) can reduce 2 to:
% 13.74/3.60 | (645) ~ (all_0_136_136 = e13)
% 13.74/3.60 |
% 13.74/3.60 | Equations (644) can reduce 165 to:
% 13.74/3.60 | (606) ~ (all_0_141_141 = e13)
% 13.74/3.60 |
% 13.74/3.60 | Simplifying 606 yields:
% 13.74/3.60 | (607) ~ (all_0_141_141 = e13)
% 13.74/3.60 |
% 13.74/3.60 | Equations (644) can reduce 103 to:
% 13.74/3.60 | (579) ~ (all_0_144_144 = e13)
% 13.74/3.60 |
% 13.74/3.60 | Simplifying 579 yields:
% 13.74/3.60 | (580) ~ (all_0_144_144 = e13)
% 13.74/3.60 |
% 13.74/3.61 | Equations (644) can reduce 628 to:
% 13.74/3.61 | (197) ~ (e13 = e10)
% 13.74/3.61 |
% 13.74/3.61 | From (644) and (211) follows:
% 13.74/3.61 | (651) op1(e13, e12) = all_0_116_116
% 13.74/3.61 |
% 13.74/3.61 | From (644) and (222) follows:
% 13.74/3.61 | (652) op1(e12, e11) = e13
% 13.74/3.61 |
% 13.74/3.61 | From (644) and (310) follows:
% 13.74/3.61 | (653) h4(e13) = all_0_5_5
% 13.74/3.61 |
% 13.74/3.61 | Instantiating formula (326) with e13, e12, all_0_116_116, all_0_135_135 and discharging atoms op1(e13, e12) = all_0_116_116, op1(e13, e12) = all_0_135_135, yields:
% 13.74/3.61 | (654) all_0_116_116 = all_0_135_135
% 13.74/3.61 |
% 13.74/3.61 | Instantiating formula (326) with e10, e10, all_0_118_118, e11 and discharging atoms op1(e10, e10) = all_0_118_118, op1(e10, e10) = e11, yields:
% 13.74/3.61 | (655) all_0_118_118 = e11
% 13.74/3.61 |
% 13.74/3.61 | Instantiating formula (346) with e13, all_0_5_5, e23 and discharging atoms h4(e13) = all_0_5_5, h4(e13) = e23, yields:
% 13.74/3.61 | (656) all_0_5_5 = e23
% 13.74/3.61 |
% 13.74/3.61 | Instantiating formula (346) with e13, all_0_11_11, all_0_5_5 and discharging atoms h4(e13) = all_0_5_5, h4(e13) = all_0_11_11, yields:
% 13.74/3.61 | (657) all_0_5_5 = all_0_11_11
% 13.74/3.61 |
% 13.74/3.61 | Instantiating formula (346) with e10, all_0_12_12, e20 and discharging atoms h4(e10) = all_0_12_12, h4(e10) = e20, yields:
% 13.74/3.61 | (658) all_0_12_12 = e20
% 13.74/3.61 |
% 13.74/3.61 | Combining equations (656,657) yields a new equation:
% 13.74/3.61 | (659) all_0_11_11 = e23
% 13.74/3.61 |
% 13.74/3.61 | Combining equations (659,657) yields a new equation:
% 13.74/3.61 | (656) all_0_5_5 = e23
% 13.74/3.61 |
% 13.74/3.61 | From (658) and (633) follows:
% 13.74/3.61 | (333) h4(e10) = e20
% 13.74/3.61 |
% 13.74/3.61 +-Applying beta-rule and splitting (29), into two cases.
% 13.74/3.61 |-Branch one:
% 13.74/3.61 | (662) all_0_135_135 = e11
% 13.74/3.61 |
% 13.74/3.61 | Equations (662) can reduce 41 to:
% 13.74/3.61 | (663) ~ (all_0_136_136 = e11)
% 13.74/3.61 |
% 13.74/3.61 | Simplifying 663 yields:
% 13.74/3.61 | (664) ~ (all_0_136_136 = e11)
% 13.74/3.61 |
% 13.74/3.61 | Equations (662) can reduce 240 to:
% 13.74/3.61 | (665) ~ (all_0_143_143 = e11)
% 13.74/3.61 |
% 13.74/3.61 | Simplifying 665 yields:
% 13.74/3.61 | (666) ~ (all_0_143_143 = e11)
% 13.74/3.61 |
% 13.74/3.61 | Equations (662) can reduce 616 to:
% 13.74/3.61 | (594) ~ (e13 = e11)
% 13.74/3.61 |
% 13.74/3.61 | Simplifying 594 yields:
% 13.74/3.61 | (363) ~ (e13 = e11)
% 13.74/3.61 |
% 13.74/3.61 | From (662) and (67) follows:
% 13.74/3.61 | (669) h4(e11) = all_0_0_0
% 13.74/3.61 |
% 13.74/3.61 +-Applying beta-rule and splitting (92), into two cases.
% 13.74/3.61 |-Branch one:
% 13.74/3.61 | (670) all_0_136_136 = e11
% 13.74/3.61 |
% 13.74/3.61 | Equations (670) can reduce 664 to:
% 13.74/3.61 | (414) $false
% 13.74/3.61 |
% 13.74/3.61 |-The branch is then unsatisfiable
% 13.74/3.61 |-Branch two:
% 13.74/3.61 | (664) ~ (all_0_136_136 = e11)
% 13.74/3.61 | (673) all_0_140_140 = e11 | all_0_144_144 = e11
% 13.74/3.61 |
% 13.74/3.61 +-Applying beta-rule and splitting (112), into two cases.
% 13.74/3.61 |-Branch one:
% 13.74/3.61 | (674) all_0_141_141 = e12
% 13.74/3.61 |
% 13.74/3.61 | Equations (674) can reduce 257 to:
% 13.74/3.61 | (675) ~ (all_0_139_139 = e12)
% 13.74/3.61 |
% 13.74/3.61 | Equations (674) can reduce 607 to:
% 13.74/3.61 | (676) ~ (e13 = e12)
% 13.74/3.61 |
% 13.74/3.61 | Simplifying 676 yields:
% 13.74/3.61 | (302) ~ (e13 = e12)
% 13.74/3.61 |
% 13.74/3.61 | Equations (674) can reduce 207 to:
% 13.74/3.61 | (328) ~ (e12 = e11)
% 13.74/3.61 |
% 13.74/3.61 | From (674) and (292) follows:
% 13.74/3.61 | (679) h4(e12) = all_0_6_6
% 13.74/3.61 |
% 13.74/3.61 +-Applying beta-rule and splitting (214), into two cases.
% 13.74/3.61 |-Branch one:
% 13.74/3.61 | (680) all_0_141_141 = e10
% 13.74/3.61 |
% 13.74/3.61 | Combining equations (674,680) yields a new equation:
% 13.74/3.61 | (681) e12 = e10
% 13.74/3.61 |
% 13.74/3.61 | Simplifying 681 yields:
% 13.74/3.61 | (682) e12 = e10
% 13.74/3.61 |
% 13.74/3.61 | Equations (682) can reduce 164 to:
% 13.74/3.61 | (414) $false
% 13.74/3.61 |
% 13.74/3.61 |-The branch is then unsatisfiable
% 13.74/3.61 |-Branch two:
% 13.74/3.61 | (684) ~ (all_0_141_141 = e10)
% 13.74/3.61 | (685) all_0_145_145 = e10
% 13.74/3.61 |
% 13.74/3.61 | Equations (685) can reduce 255 to:
% 13.74/3.61 | (686) ~ (all_0_143_143 = e10)
% 13.74/3.61 |
% 13.74/3.61 | Equations (685) can reduce 609 to:
% 13.74/3.61 | (687) ~ (e13 = e10)
% 13.74/3.61 |
% 13.74/3.61 | Simplifying 687 yields:
% 13.74/3.61 | (197) ~ (e13 = e10)
% 13.74/3.61 |
% 13.74/3.61 | From (685) and (6) follows:
% 13.74/3.61 | (689) h4(e10) = all_0_10_10
% 13.74/3.61 |
% 13.74/3.61 +-Applying beta-rule and splitting (247), into two cases.
% 13.74/3.61 |-Branch one:
% 13.74/3.61 | (690) all_0_135_135 = e12
% 13.74/3.61 |
% 13.74/3.61 | Combining equations (690,662) yields a new equation:
% 13.74/3.61 | (691) e12 = e11
% 13.74/3.61 |
% 13.74/3.61 | Simplifying 691 yields:
% 13.74/3.61 | (692) e12 = e11
% 13.74/3.61 |
% 13.74/3.61 | Equations (692) can reduce 328 to:
% 13.74/3.61 | (414) $false
% 13.74/3.61 |
% 13.74/3.61 |-The branch is then unsatisfiable
% 13.74/3.61 |-Branch two:
% 13.74/3.61 | (694) ~ (all_0_135_135 = e12)
% 13.74/3.61 | (695) all_0_136_136 = e12 | all_0_137_137 = e12
% 13.74/3.61 |
% 13.74/3.61 +-Applying beta-rule and splitting (377), into two cases.
% 13.74/3.61 |-Branch one:
% 13.74/3.61 | (696) all_0_142_142 = e11
% 13.74/3.61 |
% 13.74/3.61 | Combining equations (696,575) yields a new equation:
% 13.74/3.61 | (636) e13 = e11
% 13.74/3.61 |
% 13.74/3.61 | Equations (636) can reduce 363 to:
% 13.74/3.61 | (414) $false
% 13.74/3.61 |
% 13.74/3.61 |-The branch is then unsatisfiable
% 13.74/3.61 |-Branch two:
% 13.74/3.61 | (699) ~ (all_0_142_142 = e11)
% 13.74/3.61 | (700) all_0_143_143 = e11 | all_0_144_144 = e11
% 13.74/3.61 |
% 13.74/3.61 | Equations (575) can reduce 699 to:
% 13.74/3.61 | (363) ~ (e13 = e11)
% 13.74/3.61 |
% 13.74/3.61 +-Applying beta-rule and splitting (695), into two cases.
% 13.74/3.61 |-Branch one:
% 13.74/3.61 | (702) all_0_136_136 = e12
% 13.74/3.61 |
% 13.74/3.61 | Equations (702) can reduce 664 to:
% 13.74/3.61 | (328) ~ (e12 = e11)
% 13.74/3.61 |
% 13.74/3.61 | From (702) and (154) follows:
% 13.74/3.61 | (704) h4(e12) = all_0_1_1
% 13.74/3.61 |
% 13.74/3.61 +-Applying beta-rule and splitting (24), into two cases.
% 13.74/3.61 |-Branch one:
% 13.74/3.62 | (705) all_0_139_139 = e10
% 13.74/3.62 |
% 13.74/3.62 | Equations (705) can reduce 332 to:
% 13.74/3.62 | (706) ~ (all_0_143_143 = e10)
% 13.74/3.62 |
% 13.74/3.62 | Simplifying 706 yields:
% 13.74/3.62 | (686) ~ (all_0_143_143 = e10)
% 13.74/3.62 |
% 13.74/3.62 | From (705) and (189) follows:
% 13.74/3.62 | (708) h4(e10) = all_0_4_4
% 13.74/3.62 |
% 13.74/3.62 +-Applying beta-rule and splitting (63), into two cases.
% 13.74/3.62 |-Branch one:
% 13.74/3.62 | (709) all_0_143_143 = e13
% 13.74/3.62 |
% 13.74/3.62 | Equations (709) can reduce 578 to:
% 13.74/3.62 | (414) $false
% 13.74/3.62 |
% 13.74/3.62 |-The branch is then unsatisfiable
% 13.74/3.62 |-Branch two:
% 13.74/3.62 | (578) ~ (all_0_143_143 = e13)
% 13.74/3.62 | (712) all_0_143_143 = e12 | all_0_143_143 = e11 | all_0_143_143 = e10
% 13.74/3.62 |
% 13.74/3.62 +-Applying beta-rule and splitting (13), into two cases.
% 13.74/3.62 |-Branch one:
% 13.74/3.62 | (713) all_0_143_143 = e12
% 13.74/3.62 |
% 13.74/3.62 | Equations (713) can reduce 666 to:
% 13.74/3.62 | (328) ~ (e12 = e11)
% 13.74/3.62 |
% 13.74/3.62 | From (713) and (149) follows:
% 13.74/3.62 | (715) h4(e12) = all_0_8_8
% 13.74/3.62 |
% 13.74/3.62 +-Applying beta-rule and splitting (700), into two cases.
% 13.74/3.62 |-Branch one:
% 13.74/3.62 | (716) all_0_143_143 = e11
% 13.74/3.62 |
% 13.74/3.62 | Combining equations (713,716) yields a new equation:
% 13.74/3.62 | (691) e12 = e11
% 13.74/3.62 |
% 13.74/3.62 | Simplifying 691 yields:
% 13.74/3.62 | (692) e12 = e11
% 13.74/3.62 |
% 13.74/3.62 | Equations (692) can reduce 328 to:
% 13.74/3.62 | (414) $false
% 13.74/3.62 |
% 13.74/3.62 |-The branch is then unsatisfiable
% 13.74/3.62 |-Branch two:
% 13.74/3.62 | (666) ~ (all_0_143_143 = e11)
% 13.74/3.62 | (721) all_0_144_144 = e11
% 13.74/3.62 |
% 13.74/3.62 | From (721) and (195) follows:
% 13.74/3.62 | (722) h4(e11) = all_0_9_9
% 13.74/3.62 |
% 13.74/3.62 | Instantiating formula (346) with e12, all_0_1_1, e22 and discharging atoms h4(e12) = all_0_1_1, h4(e12) = e22, yields:
% 13.74/3.62 | (723) all_0_1_1 = e22
% 13.74/3.62 |
% 13.74/3.62 | Instantiating formula (346) with e12, all_0_6_6, all_0_1_1 and discharging atoms h4(e12) = all_0_1_1, h4(e12) = all_0_6_6, yields:
% 13.74/3.62 | (724) all_0_1_1 = all_0_6_6
% 13.74/3.62 |
% 13.74/3.62 | Instantiating formula (346) with e12, all_0_8_8, all_0_6_6 and discharging atoms h4(e12) = all_0_6_6, h4(e12) = all_0_8_8, yields:
% 13.74/3.62 | (725) all_0_6_6 = all_0_8_8
% 13.74/3.62 |
% 13.74/3.62 | Instantiating formula (346) with e11, all_0_0_0, e21 and discharging atoms h4(e11) = all_0_0_0, h4(e11) = e21, yields:
% 13.74/3.62 | (726) all_0_0_0 = e21
% 13.74/3.62 |
% 13.74/3.62 | Instantiating formula (346) with e11, all_0_9_9, all_0_0_0 and discharging atoms h4(e11) = all_0_0_0, h4(e11) = all_0_9_9, yields:
% 13.74/3.62 | (727) all_0_0_0 = all_0_9_9
% 13.74/3.62 |
% 13.74/3.62 | Instantiating formula (346) with e10, all_0_4_4, e20 and discharging atoms h4(e10) = all_0_4_4, h4(e10) = e20, yields:
% 13.74/3.62 | (728) all_0_4_4 = e20
% 13.74/3.62 |
% 13.74/3.62 | Instantiating formula (346) with e10, all_0_10_10, all_0_4_4 and discharging atoms h4(e10) = all_0_4_4, h4(e10) = all_0_10_10, yields:
% 13.74/3.62 | (729) all_0_4_4 = all_0_10_10
% 13.74/3.62 |
% 13.74/3.62 | Combining equations (727,726) yields a new equation:
% 13.74/3.62 | (730) all_0_9_9 = e21
% 13.74/3.62 |
% 13.74/3.62 | Simplifying 730 yields:
% 13.74/3.62 | (731) all_0_9_9 = e21
% 13.74/3.62 |
% 13.74/3.62 | Combining equations (724,723) yields a new equation:
% 13.74/3.62 | (732) all_0_6_6 = e22
% 13.74/3.62 |
% 13.74/3.62 | Simplifying 732 yields:
% 13.74/3.62 | (733) all_0_6_6 = e22
% 13.74/3.62 |
% 13.74/3.62 | Combining equations (729,728) yields a new equation:
% 13.74/3.62 | (734) all_0_10_10 = e20
% 13.74/3.62 |
% 13.74/3.62 | Simplifying 734 yields:
% 13.74/3.62 | (735) all_0_10_10 = e20
% 13.74/3.62 |
% 13.74/3.62 | Combining equations (725,733) yields a new equation:
% 13.74/3.62 | (736) all_0_8_8 = e22
% 13.74/3.62 |
% 13.74/3.62 | Simplifying 736 yields:
% 13.74/3.62 | (737) all_0_8_8 = e22
% 13.74/3.62 |
% 13.74/3.62 +-Applying beta-rule and splitting (28), into two cases.
% 13.74/3.62 |-Branch one:
% 13.74/3.62 | (738) ~ (all_0_0_0 = all_0_122_122)
% 13.74/3.62 |
% 13.74/3.62 | Equations (726,466) can reduce 738 to:
% 13.74/3.62 | (414) $false
% 13.74/3.62 |
% 13.74/3.62 |-The branch is then unsatisfiable
% 13.74/3.62 |-Branch two:
% 13.74/3.62 | (740) all_0_0_0 = all_0_122_122
% 13.74/3.62 | (741) ~ (all_0_1_1 = all_0_123_123) | ~ (all_0_2_2 = all_0_124_124) | ~ (all_0_3_3 = all_0_125_125) | ~ (all_0_4_4 = all_0_126_126) | ~ (all_0_5_5 = all_0_127_127) | ~ (all_0_6_6 = all_0_128_128) | ~ (all_0_7_7 = all_0_129_129) | ~ (all_0_8_8 = all_0_130_130) | ~ (all_0_9_9 = all_0_131_131) | ~ (all_0_10_10 = all_0_132_132) | ~ (all_0_11_11 = all_0_133_133) | ~ (all_0_12_12 = all_0_134_134)
% 13.74/3.62 |
% 13.74/3.62 +-Applying beta-rule and splitting (741), into two cases.
% 13.74/3.62 |-Branch one:
% 13.74/3.62 | (742) ~ (all_0_1_1 = all_0_123_123)
% 13.74/3.62 |
% 13.74/3.62 | Equations (723,538) can reduce 742 to:
% 13.74/3.62 | (414) $false
% 13.74/3.62 |
% 13.74/3.62 |-The branch is then unsatisfiable
% 13.74/3.62 |-Branch two:
% 13.74/3.62 | (744) all_0_1_1 = all_0_123_123
% 13.74/3.62 | (745) ~ (all_0_2_2 = all_0_124_124) | ~ (all_0_3_3 = all_0_125_125) | ~ (all_0_4_4 = all_0_126_126) | ~ (all_0_5_5 = all_0_127_127) | ~ (all_0_6_6 = all_0_128_128) | ~ (all_0_7_7 = all_0_129_129) | ~ (all_0_8_8 = all_0_130_130) | ~ (all_0_9_9 = all_0_131_131) | ~ (all_0_10_10 = all_0_132_132) | ~ (all_0_11_11 = all_0_133_133) | ~ (all_0_12_12 = all_0_134_134)
% 13.74/3.62 |
% 13.74/3.62 +-Applying beta-rule and splitting (745), into two cases.
% 13.74/3.62 |-Branch one:
% 13.74/3.62 | (746) ~ (all_0_2_2 = all_0_124_124)
% 13.74/3.62 |
% 13.74/3.62 | Equations (613,429) can reduce 746 to:
% 13.74/3.62 | (414) $false
% 13.74/3.62 |
% 13.74/3.62 |-The branch is then unsatisfiable
% 13.74/3.62 |-Branch two:
% 13.74/3.62 | (748) all_0_2_2 = all_0_124_124
% 13.74/3.62 | (749) ~ (all_0_3_3 = all_0_125_125) | ~ (all_0_4_4 = all_0_126_126) | ~ (all_0_5_5 = all_0_127_127) | ~ (all_0_6_6 = all_0_128_128) | ~ (all_0_7_7 = all_0_129_129) | ~ (all_0_8_8 = all_0_130_130) | ~ (all_0_9_9 = all_0_131_131) | ~ (all_0_10_10 = all_0_132_132) | ~ (all_0_11_11 = all_0_133_133) | ~ (all_0_12_12 = all_0_134_134)
% 13.74/3.62 |
% 13.74/3.62 +-Applying beta-rule and splitting (749), into two cases.
% 13.74/3.62 |-Branch one:
% 13.74/3.62 | (750) ~ (all_0_3_3 = all_0_125_125)
% 13.74/3.62 |
% 13.74/3.62 | Equations (602,404) can reduce 750 to:
% 13.74/3.62 | (414) $false
% 13.74/3.62 |
% 13.74/3.62 |-The branch is then unsatisfiable
% 13.74/3.62 |-Branch two:
% 13.74/3.62 | (752) all_0_3_3 = all_0_125_125
% 13.74/3.62 | (753) ~ (all_0_4_4 = all_0_126_126) | ~ (all_0_5_5 = all_0_127_127) | ~ (all_0_6_6 = all_0_128_128) | ~ (all_0_7_7 = all_0_129_129) | ~ (all_0_8_8 = all_0_130_130) | ~ (all_0_9_9 = all_0_131_131) | ~ (all_0_10_10 = all_0_132_132) | ~ (all_0_11_11 = all_0_133_133) | ~ (all_0_12_12 = all_0_134_134)
% 13.74/3.62 |
% 13.74/3.62 +-Applying beta-rule and splitting (753), into two cases.
% 13.74/3.62 |-Branch one:
% 13.74/3.62 | (754) ~ (all_0_4_4 = all_0_126_126)
% 13.74/3.62 |
% 13.74/3.63 | Equations (728,447) can reduce 754 to:
% 13.74/3.63 | (414) $false
% 13.74/3.63 |
% 13.74/3.63 |-The branch is then unsatisfiable
% 13.74/3.63 |-Branch two:
% 13.74/3.63 | (756) all_0_4_4 = all_0_126_126
% 13.74/3.63 | (757) ~ (all_0_5_5 = all_0_127_127) | ~ (all_0_6_6 = all_0_128_128) | ~ (all_0_7_7 = all_0_129_129) | ~ (all_0_8_8 = all_0_130_130) | ~ (all_0_9_9 = all_0_131_131) | ~ (all_0_10_10 = all_0_132_132) | ~ (all_0_11_11 = all_0_133_133) | ~ (all_0_12_12 = all_0_134_134)
% 13.74/3.63 |
% 13.74/3.63 +-Applying beta-rule and splitting (757), into two cases.
% 13.74/3.63 |-Branch one:
% 13.74/3.63 | (758) ~ (all_0_5_5 = all_0_127_127)
% 13.74/3.63 |
% 13.74/3.63 | Equations (656,574) can reduce 758 to:
% 13.74/3.63 | (414) $false
% 13.74/3.63 |
% 13.74/3.63 |-The branch is then unsatisfiable
% 13.74/3.63 |-Branch two:
% 13.74/3.63 | (760) all_0_5_5 = all_0_127_127
% 13.74/3.63 | (761) ~ (all_0_6_6 = all_0_128_128) | ~ (all_0_7_7 = all_0_129_129) | ~ (all_0_8_8 = all_0_130_130) | ~ (all_0_9_9 = all_0_131_131) | ~ (all_0_10_10 = all_0_132_132) | ~ (all_0_11_11 = all_0_133_133) | ~ (all_0_12_12 = all_0_134_134)
% 13.74/3.63 |
% 13.74/3.63 +-Applying beta-rule and splitting (761), into two cases.
% 13.74/3.63 |-Branch one:
% 13.74/3.63 | (762) ~ (all_0_6_6 = all_0_128_128)
% 13.74/3.63 |
% 13.74/3.63 | Equations (733,448) can reduce 762 to:
% 13.74/3.63 | (414) $false
% 13.74/3.63 |
% 13.74/3.63 |-The branch is then unsatisfiable
% 13.74/3.63 |-Branch two:
% 13.74/3.63 | (764) all_0_6_6 = all_0_128_128
% 13.74/3.63 | (765) ~ (all_0_7_7 = all_0_129_129) | ~ (all_0_8_8 = all_0_130_130) | ~ (all_0_9_9 = all_0_131_131) | ~ (all_0_10_10 = all_0_132_132) | ~ (all_0_11_11 = all_0_133_133) | ~ (all_0_12_12 = all_0_134_134)
% 13.74/3.63 |
% 13.74/3.63 +-Applying beta-rule and splitting (765), into two cases.
% 13.74/3.63 |-Branch one:
% 13.74/3.63 | (766) ~ (all_0_7_7 = all_0_129_129)
% 13.74/3.63 |
% 13.74/3.63 | Equations (601,416) can reduce 766 to:
% 13.74/3.63 | (414) $false
% 13.74/3.63 |
% 13.74/3.63 |-The branch is then unsatisfiable
% 13.74/3.63 |-Branch two:
% 13.74/3.63 | (768) all_0_7_7 = all_0_129_129
% 13.74/3.63 | (769) ~ (all_0_8_8 = all_0_130_130) | ~ (all_0_9_9 = all_0_131_131) | ~ (all_0_10_10 = all_0_132_132) | ~ (all_0_11_11 = all_0_133_133) | ~ (all_0_12_12 = all_0_134_134)
% 13.74/3.63 |
% 13.74/3.63 +-Applying beta-rule and splitting (769), into two cases.
% 13.74/3.63 |-Branch one:
% 13.74/3.63 | (770) ~ (all_0_8_8 = all_0_130_130)
% 13.74/3.63 |
% 13.74/3.63 | Equations (737,479) can reduce 770 to:
% 13.74/3.63 | (414) $false
% 13.74/3.63 |
% 13.74/3.63 |-The branch is then unsatisfiable
% 13.74/3.63 |-Branch two:
% 13.74/3.63 | (772) all_0_8_8 = all_0_130_130
% 13.74/3.63 | (773) ~ (all_0_9_9 = all_0_131_131) | ~ (all_0_10_10 = all_0_132_132) | ~ (all_0_11_11 = all_0_133_133) | ~ (all_0_12_12 = all_0_134_134)
% 13.74/3.63 |
% 13.74/3.63 +-Applying beta-rule and splitting (773), into two cases.
% 13.74/3.63 |-Branch one:
% 13.74/3.63 | (774) ~ (all_0_9_9 = all_0_131_131)
% 13.74/3.63 |
% 13.74/3.63 | Equations (731,524) can reduce 774 to:
% 13.74/3.63 | (414) $false
% 13.74/3.63 |
% 13.74/3.63 |-The branch is then unsatisfiable
% 13.74/3.63 |-Branch two:
% 13.74/3.63 | (776) all_0_9_9 = all_0_131_131
% 13.74/3.63 | (777) ~ (all_0_10_10 = all_0_132_132) | ~ (all_0_11_11 = all_0_133_133) | ~ (all_0_12_12 = all_0_134_134)
% 13.74/3.63 |
% 13.74/3.63 +-Applying beta-rule and splitting (777), into two cases.
% 13.74/3.63 |-Branch one:
% 13.74/3.63 | (778) ~ (all_0_10_10 = all_0_132_132)
% 13.74/3.63 |
% 13.74/3.63 | Equations (735,513) can reduce 778 to:
% 13.74/3.63 | (414) $false
% 13.74/3.63 |
% 13.74/3.63 |-The branch is then unsatisfiable
% 13.74/3.63 |-Branch two:
% 13.74/3.63 | (780) all_0_10_10 = all_0_132_132
% 13.74/3.63 | (781) ~ (all_0_11_11 = all_0_133_133) | ~ (all_0_12_12 = all_0_134_134)
% 13.74/3.63 |
% 13.74/3.63 +-Applying beta-rule and splitting (781), into two cases.
% 13.74/3.63 |-Branch one:
% 13.74/3.63 | (782) ~ (all_0_11_11 = all_0_133_133)
% 13.74/3.63 |
% 13.74/3.63 | Equations (659,565) can reduce 782 to:
% 13.74/3.63 | (414) $false
% 13.74/3.63 |
% 13.74/3.63 |-The branch is then unsatisfiable
% 13.74/3.63 |-Branch two:
% 13.74/3.63 | (784) all_0_11_11 = all_0_133_133
% 13.74/3.63 | (785) ~ (all_0_12_12 = all_0_134_134)
% 13.74/3.63 |
% 13.74/3.63 | Equations (658,485) can reduce 785 to:
% 13.74/3.63 | (414) $false
% 13.74/3.63 |
% 13.74/3.63 |-The branch is then unsatisfiable
% 13.74/3.63 |-Branch two:
% 13.74/3.63 | (787) ~ (all_0_143_143 = e12)
% 13.74/3.63 | (788) all_0_144_144 = e12 | all_0_145_145 = e12
% 13.74/3.63 |
% 13.74/3.63 +-Applying beta-rule and splitting (712), into two cases.
% 13.74/3.63 |-Branch one:
% 13.74/3.63 | (713) all_0_143_143 = e12
% 13.74/3.63 |
% 13.74/3.63 | Equations (713) can reduce 787 to:
% 13.74/3.63 | (414) $false
% 13.74/3.63 |
% 13.74/3.63 |-The branch is then unsatisfiable
% 13.74/3.63 |-Branch two:
% 13.74/3.63 | (787) ~ (all_0_143_143 = e12)
% 13.74/3.63 | (792) all_0_143_143 = e11 | all_0_143_143 = e10
% 13.74/3.63 |
% 13.74/3.63 +-Applying beta-rule and splitting (673), into two cases.
% 13.74/3.63 |-Branch one:
% 13.74/3.63 | (793) all_0_140_140 = e11
% 13.74/3.63 |
% 13.74/3.63 | Combining equations (793,644) yields a new equation:
% 13.74/3.63 | (636) e13 = e11
% 13.74/3.63 |
% 13.74/3.63 | Equations (636) can reduce 363 to:
% 13.74/3.63 | (414) $false
% 13.74/3.63 |
% 13.74/3.63 |-The branch is then unsatisfiable
% 13.74/3.63 |-Branch two:
% 13.74/3.63 | (591) ~ (all_0_140_140 = e11)
% 13.74/3.63 | (721) all_0_144_144 = e11
% 13.74/3.63 |
% 13.74/3.63 | Equations (721) can reduce 82 to:
% 13.74/3.63 | (666) ~ (all_0_143_143 = e11)
% 13.74/3.63 |
% 13.74/3.63 +-Applying beta-rule and splitting (792), into two cases.
% 13.74/3.63 |-Branch one:
% 13.74/3.63 | (716) all_0_143_143 = e11
% 13.74/3.63 |
% 13.74/3.63 | Equations (716) can reduce 666 to:
% 13.74/3.63 | (414) $false
% 13.74/3.64 |
% 13.74/3.64 |-The branch is then unsatisfiable
% 13.74/3.64 |-Branch two:
% 13.74/3.64 | (666) ~ (all_0_143_143 = e11)
% 13.74/3.64 | (802) all_0_143_143 = e10
% 13.74/3.64 |
% 13.74/3.64 | Equations (802) can reduce 686 to:
% 13.74/3.64 | (414) $false
% 13.74/3.64 |
% 13.74/3.64 |-The branch is then unsatisfiable
% 13.74/3.64 |-Branch two:
% 13.74/3.64 | (804) ~ (all_0_139_139 = e10)
% 13.74/3.64 | (805) all_0_143_143 = e10 | all_0_146_146 = e10
% 13.74/3.64 |
% 13.74/3.64 +-Applying beta-rule and splitting (256), into two cases.
% 13.74/3.64 |-Branch one:
% 13.74/3.64 | (705) all_0_139_139 = e10
% 13.74/3.64 |
% 13.74/3.64 | Equations (705) can reduce 804 to:
% 13.74/3.64 | (414) $false
% 13.74/3.64 |
% 13.74/3.64 |-The branch is then unsatisfiable
% 13.74/3.64 |-Branch two:
% 13.74/3.64 | (804) ~ (all_0_139_139 = e10)
% 13.74/3.64 | (809) all_0_140_140 = e10 | all_0_141_141 = e10
% 13.74/3.64 |
% 13.74/3.64 +-Applying beta-rule and splitting (250), into two cases.
% 13.74/3.64 |-Branch one:
% 13.74/3.64 | (690) all_0_135_135 = e12
% 13.74/3.64 |
% 13.74/3.64 | Combining equations (662,690) yields a new equation:
% 13.74/3.64 | (692) e12 = e11
% 13.74/3.64 |
% 13.74/3.64 | Equations (692) can reduce 328 to:
% 13.74/3.64 | (414) $false
% 13.74/3.64 |
% 13.74/3.64 |-The branch is then unsatisfiable
% 13.74/3.64 |-Branch two:
% 13.74/3.64 | (694) ~ (all_0_135_135 = e12)
% 13.74/3.64 | (814) all_0_139_139 = e12 | all_0_143_143 = e12
% 13.74/3.64 |
% 13.74/3.64 +-Applying beta-rule and splitting (13), into two cases.
% 13.74/3.64 |-Branch one:
% 13.74/3.64 | (713) all_0_143_143 = e12
% 13.74/3.64 |
% 13.74/3.64 | Equations (713) can reduce 686 to:
% 13.74/3.64 | (164) ~ (e12 = e10)
% 13.74/3.64 |
% 13.74/3.64 +-Applying beta-rule and splitting (809), into two cases.
% 13.74/3.64 |-Branch one:
% 13.74/3.64 | (817) all_0_140_140 = e10
% 13.74/3.64 |
% 13.74/3.64 | Combining equations (817,644) yields a new equation:
% 13.74/3.64 | (818) e13 = e10
% 13.74/3.64 |
% 13.74/3.64 | Equations (818) can reduce 197 to:
% 13.74/3.64 | (414) $false
% 13.74/3.64 |
% 13.74/3.64 |-The branch is then unsatisfiable
% 13.74/3.64 |-Branch two:
% 13.74/3.64 | (628) ~ (all_0_140_140 = e10)
% 13.74/3.64 | (680) all_0_141_141 = e10
% 13.74/3.64 |
% 13.74/3.64 | Combining equations (674,680) yields a new equation:
% 13.74/3.64 | (681) e12 = e10
% 13.74/3.64 |
% 13.74/3.64 | Simplifying 681 yields:
% 13.74/3.64 | (682) e12 = e10
% 13.74/3.64 |
% 13.74/3.64 | Equations (682) can reduce 164 to:
% 13.74/3.64 | (414) $false
% 13.74/3.64 |
% 13.74/3.64 |-The branch is then unsatisfiable
% 13.74/3.64 |-Branch two:
% 13.74/3.64 | (787) ~ (all_0_143_143 = e12)
% 13.74/3.64 | (788) all_0_144_144 = e12 | all_0_145_145 = e12
% 13.74/3.64 |
% 13.74/3.64 +-Applying beta-rule and splitting (814), into two cases.
% 13.74/3.64 |-Branch one:
% 13.74/3.64 | (827) all_0_139_139 = e12
% 13.74/3.64 |
% 13.74/3.64 | Equations (827) can reduce 675 to:
% 13.74/3.64 | (414) $false
% 13.74/3.64 |
% 13.74/3.64 |-The branch is then unsatisfiable
% 13.74/3.64 |-Branch two:
% 13.74/3.64 | (675) ~ (all_0_139_139 = e12)
% 13.74/3.64 | (713) all_0_143_143 = e12
% 13.74/3.64 |
% 13.74/3.64 | Equations (713) can reduce 787 to:
% 13.74/3.64 | (414) $false
% 13.74/3.64 |
% 13.74/3.64 |-The branch is then unsatisfiable
% 13.74/3.64 |-Branch two:
% 13.74/3.64 | (832) ~ (all_0_136_136 = e12)
% 13.74/3.64 | (833) all_0_137_137 = e12
% 13.74/3.64 |
% 13.74/3.64 | Combining equations (833,605) yields a new equation:
% 13.74/3.64 | (834) e13 = e12
% 13.74/3.64 |
% 13.74/3.64 | Equations (834) can reduce 302 to:
% 13.74/3.64 | (414) $false
% 13.74/3.64 |
% 13.74/3.64 |-The branch is then unsatisfiable
% 13.74/3.64 |-Branch two:
% 13.74/3.64 | (836) ~ (all_0_141_141 = e12)
% 13.74/3.64 | (837) all_0_109_109 = all_0_138_138 | all_0_110_110 = all_0_142_142
% 13.74/3.64 |
% 13.74/3.64 +-Applying beta-rule and splitting (673), into two cases.
% 13.74/3.64 |-Branch one:
% 13.74/3.64 | (793) all_0_140_140 = e11
% 13.74/3.64 |
% 13.74/3.64 | Combining equations (793,644) yields a new equation:
% 13.74/3.64 | (636) e13 = e11
% 13.74/3.64 |
% 13.74/3.64 | Equations (636) can reduce 363 to:
% 13.74/3.64 | (414) $false
% 13.74/3.64 |
% 13.74/3.64 |-The branch is then unsatisfiable
% 13.74/3.64 |-Branch two:
% 13.74/3.64 | (591) ~ (all_0_140_140 = e11)
% 13.74/3.64 | (721) all_0_144_144 = e11
% 13.74/3.64 |
% 13.74/3.64 | Equations (721) can reduce 82 to:
% 13.74/3.64 | (666) ~ (all_0_143_143 = e11)
% 13.74/3.64 |
% 13.74/3.64 +-Applying beta-rule and splitting (837), into two cases.
% 13.74/3.64 |-Branch one:
% 13.74/3.64 | (844) all_0_109_109 = all_0_138_138
% 13.74/3.64 |
% 13.74/3.64 | Combining equations (600,844) yields a new equation:
% 13.74/3.64 | (845) all_0_138_138 = all_0_143_143
% 13.74/3.64 |
% 13.74/3.64 | Combining equations (587,845) yields a new equation:
% 13.74/3.64 | (716) all_0_143_143 = e11
% 13.99/3.64 |
% 13.99/3.64 | Equations (716) can reduce 666 to:
% 13.99/3.64 | (414) $false
% 13.99/3.64 |
% 13.99/3.64 |-The branch is then unsatisfiable
% 13.99/3.64 |-Branch two:
% 13.99/3.64 | (848) ~ (all_0_109_109 = all_0_138_138)
% 13.99/3.64 | (849) all_0_110_110 = all_0_142_142
% 13.99/3.64 |
% 13.99/3.64 | Combining equations (599,849) yields a new equation:
% 13.99/3.65 | (850) all_0_136_136 = all_0_142_142
% 13.99/3.65 |
% 13.99/3.65 | Simplifying 850 yields:
% 13.99/3.65 | (851) all_0_136_136 = all_0_142_142
% 13.99/3.65 |
% 13.99/3.65 | Combining equations (575,851) yields a new equation:
% 13.99/3.65 | (852) all_0_136_136 = e13
% 13.99/3.65 |
% 13.99/3.65 | Equations (852) can reduce 645 to:
% 13.99/3.65 | (414) $false
% 13.99/3.65 |
% 13.99/3.65 |-The branch is then unsatisfiable
% 13.99/3.65 |-Branch two:
% 13.99/3.65 | (854) ~ (all_0_135_135 = e11)
% 13.99/3.65 | (670) all_0_136_136 = e11
% 13.99/3.65 |
% 13.99/3.65 | Equations (670) can reduce 41 to:
% 13.99/3.65 | (854) ~ (all_0_135_135 = e11)
% 13.99/3.65 |
% 13.99/3.65 | Equations (670) can reduce 345 to:
% 13.99/3.65 | (306) ~ (e11 = e10)
% 13.99/3.65 |
% 13.99/3.65 | From (670) and (221) follows:
% 13.99/3.65 | (858) op1(e11, e13) = all_0_115_115
% 13.99/3.65 |
% 13.99/3.65 +-Applying beta-rule and splitting (72), into two cases.
% 13.99/3.65 |-Branch one:
% 13.99/3.65 | (859) all_0_135_135 = e13
% 13.99/3.65 |
% 13.99/3.65 | Equations (859) can reduce 616 to:
% 13.99/3.65 | (414) $false
% 13.99/3.65 |
% 13.99/3.65 |-The branch is then unsatisfiable
% 13.99/3.65 |-Branch two:
% 13.99/3.65 | (616) ~ (all_0_135_135 = e13)
% 13.99/3.65 | (862) all_0_135_135 = e12 | all_0_135_135 = e11
% 13.99/3.65 |
% 13.99/3.65 +-Applying beta-rule and splitting (223), into two cases.
% 13.99/3.65 |-Branch one:
% 13.99/3.65 | (662) all_0_135_135 = e11
% 13.99/3.65 |
% 13.99/3.65 | Equations (662) can reduce 854 to:
% 13.99/3.65 | (414) $false
% 13.99/3.65 |
% 13.99/3.65 |-The branch is then unsatisfiable
% 13.99/3.65 |-Branch two:
% 13.99/3.65 | (854) ~ (all_0_135_135 = e11)
% 13.99/3.65 | (866) all_0_139_139 = e11 | all_0_143_143 = e11
% 13.99/3.65 |
% 13.99/3.65 +-Applying beta-rule and splitting (124), into two cases.
% 13.99/3.65 |-Branch one:
% 13.99/3.65 | (867) all_0_144_144 = e13
% 13.99/3.65 |
% 13.99/3.65 | Equations (867) can reduce 580 to:
% 13.99/3.65 | (414) $false
% 13.99/3.65 |
% 13.99/3.65 |-The branch is then unsatisfiable
% 13.99/3.65 |-Branch two:
% 13.99/3.65 | (580) ~ (all_0_144_144 = e13)
% 13.99/3.65 | (870) all_0_144_144 = e12 | all_0_144_144 = e11 | all_0_144_144 = e10
% 13.99/3.65 |
% 13.99/3.65 +-Applying beta-rule and splitting (866), into two cases.
% 13.99/3.65 |-Branch one:
% 13.99/3.65 | (871) all_0_139_139 = e11
% 13.99/3.65 |
% 13.99/3.65 | Equations (871) can reduce 589 to:
% 13.99/3.65 | (414) $false
% 13.99/3.65 |
% 13.99/3.65 |-The branch is then unsatisfiable
% 13.99/3.65 |-Branch two:
% 13.99/3.65 | (589) ~ (all_0_139_139 = e11)
% 13.99/3.65 | (716) all_0_143_143 = e11
% 13.99/3.65 |
% 13.99/3.65 | Equations (716) can reduce 240 to:
% 13.99/3.65 | (854) ~ (all_0_135_135 = e11)
% 13.99/3.65 |
% 13.99/3.65 | Equations (716) can reduce 82 to:
% 13.99/3.65 | (876) ~ (all_0_144_144 = e11)
% 13.99/3.65 |
% 13.99/3.65 | Simplifying 876 yields:
% 13.99/3.65 | (877) ~ (all_0_144_144 = e11)
% 13.99/3.65 |
% 13.99/3.65 | Equations (716) can reduce 255 to:
% 13.99/3.65 | (878) ~ (all_0_145_145 = e11)
% 13.99/3.65 |
% 13.99/3.65 | Simplifying 878 yields:
% 13.99/3.65 | (320) ~ (all_0_145_145 = e11)
% 13.99/3.65 |
% 13.99/3.65 | Equations (716) can reduce 578 to:
% 13.99/3.65 | (594) ~ (e13 = e11)
% 13.99/3.65 |
% 13.99/3.65 | Simplifying 594 yields:
% 13.99/3.65 | (363) ~ (e13 = e11)
% 13.99/3.65 |
% 13.99/3.65 +-Applying beta-rule and splitting (870), into two cases.
% 13.99/3.65 |-Branch one:
% 13.99/3.65 | (882) all_0_144_144 = e12
% 13.99/3.65 |
% 13.99/3.65 | From (882) and (212) follows:
% 13.99/3.65 | (883) op1(e12, e11) = all_0_117_117
% 13.99/3.65 |
% 13.99/3.65 +-Applying beta-rule and splitting (24), into two cases.
% 13.99/3.65 |-Branch one:
% 13.99/3.65 | (705) all_0_139_139 = e10
% 13.99/3.65 |
% 13.99/3.65 | Equations (705) can reduce 156 to:
% 13.99/3.65 | (301) ~ (all_0_135_135 = e10)
% 13.99/3.65 |
% 13.99/3.65 | Equations (705) can reduce 257 to:
% 13.99/3.65 | (886) ~ (all_0_141_141 = e10)
% 13.99/3.65 |
% 13.99/3.65 | Simplifying 886 yields:
% 13.99/3.65 | (684) ~ (all_0_141_141 = e10)
% 13.99/3.65 |
% 13.99/3.65 +-Applying beta-rule and splitting (214), into two cases.
% 13.99/3.65 |-Branch one:
% 13.99/3.65 | (680) all_0_141_141 = e10
% 13.99/3.65 |
% 13.99/3.65 | Equations (680) can reduce 684 to:
% 13.99/3.65 | (414) $false
% 13.99/3.65 |
% 13.99/3.65 |-The branch is then unsatisfiable
% 13.99/3.65 |-Branch two:
% 13.99/3.65 | (684) ~ (all_0_141_141 = e10)
% 13.99/3.65 | (685) all_0_145_145 = e10
% 13.99/3.65 |
% 13.99/3.65 | Equations (685) can reduce 320 to:
% 13.99/3.65 | (892) ~ (e11 = e10)
% 13.99/3.65 |
% 13.99/3.65 | Simplifying 892 yields:
% 13.99/3.65 | (306) ~ (e11 = e10)
% 14.03/3.65 |
% 14.03/3.65 +-Applying beta-rule and splitting (295), into two cases.
% 14.03/3.65 |-Branch one:
% 14.03/3.65 | (894) all_0_141_141 = e13
% 14.03/3.65 |
% 14.03/3.65 | Equations (894) can reduce 607 to:
% 14.03/3.65 | (414) $false
% 14.03/3.65 |
% 14.03/3.65 |-The branch is then unsatisfiable
% 14.03/3.65 |-Branch two:
% 14.03/3.65 | (607) ~ (all_0_141_141 = e13)
% 14.03/3.65 | (897) all_0_141_141 = e12 | all_0_141_141 = e10
% 14.03/3.65 |
% 14.03/3.65 +-Applying beta-rule and splitting (862), into two cases.
% 14.03/3.65 |-Branch one:
% 14.03/3.65 | (690) all_0_135_135 = e12
% 14.03/3.65 |
% 14.03/3.65 | Combining equations (690,654) yields a new equation:
% 14.03/3.65 | (899) all_0_116_116 = e12
% 14.03/3.65 |
% 14.03/3.66 | Equations (690) can reduce 616 to:
% 14.03/3.66 | (676) ~ (e13 = e12)
% 14.03/3.66 |
% 14.03/3.66 | Simplifying 676 yields:
% 14.03/3.66 | (302) ~ (e13 = e12)
% 14.03/3.66 |
% 14.03/3.66 | Equations (690) can reduce 301 to:
% 14.03/3.66 | (164) ~ (e12 = e10)
% 14.03/3.66 |
% 14.03/3.66 +-Applying beta-rule and splitting (336), into two cases.
% 14.03/3.66 |-Branch one:
% 14.03/3.66 | (827) all_0_139_139 = e12
% 14.03/3.66 |
% 14.03/3.66 | Combining equations (827,705) yields a new equation:
% 14.03/3.66 | (681) e12 = e10
% 14.03/3.66 |
% 14.03/3.66 | Simplifying 681 yields:
% 14.03/3.66 | (682) e12 = e10
% 14.03/3.66 |
% 14.03/3.66 | Equations (682) can reduce 164 to:
% 14.03/3.66 | (414) $false
% 14.03/3.66 |
% 14.03/3.66 |-The branch is then unsatisfiable
% 14.03/3.66 |-Branch two:
% 14.03/3.66 | (675) ~ (all_0_139_139 = e12)
% 14.03/3.66 | (908) all_0_140_140 = e12 | all_0_141_141 = e12
% 14.03/3.66 |
% 14.03/3.66 | Equations (705) can reduce 675 to:
% 14.03/3.66 | (630) ~ (e12 = e10)
% 14.03/3.66 |
% 14.03/3.66 | Simplifying 630 yields:
% 14.03/3.66 | (164) ~ (e12 = e10)
% 14.03/3.66 |
% 14.03/3.66 +-Applying beta-rule and splitting (270), into two cases.
% 14.03/3.66 |-Branch one:
% 14.03/3.66 | (833) all_0_137_137 = e12
% 14.03/3.66 |
% 14.03/3.66 | Combining equations (833,605) yields a new equation:
% 14.03/3.66 | (834) e13 = e12
% 14.03/3.66 |
% 14.03/3.66 | Equations (834) can reduce 302 to:
% 14.03/3.66 | (414) $false
% 14.03/3.66 |
% 14.03/3.66 |-The branch is then unsatisfiable
% 14.03/3.66 |-Branch two:
% 14.03/3.66 | (914) ~ (all_0_137_137 = e12)
% 14.03/3.66 | (915) all_0_141_141 = e12 | all_0_145_145 = e12
% 14.03/3.66 |
% 14.03/3.66 +-Applying beta-rule and splitting (915), into two cases.
% 14.03/3.66 |-Branch one:
% 14.03/3.66 | (674) all_0_141_141 = e12
% 14.03/3.66 |
% 14.03/3.66 | Equations (674) can reduce 607 to:
% 14.03/3.66 | (676) ~ (e13 = e12)
% 14.03/3.66 |
% 14.03/3.66 | Simplifying 676 yields:
% 14.03/3.66 | (302) ~ (e13 = e12)
% 14.03/3.66 |
% 14.03/3.66 | Instantiating formula (326) with e12, e11, all_0_117_117, e13 and discharging atoms op1(e12, e11) = all_0_117_117, op1(e12, e11) = e13, yields:
% 14.03/3.66 | (919) all_0_117_117 = e13
% 14.03/3.66 |
% 14.03/3.66 | Instantiating formula (326) with e11, e13, all_0_115_115, e13 and discharging atoms op1(e11, e13) = all_0_115_115, op1(e11, e13) = e13, yields:
% 14.03/3.66 | (920) all_0_115_115 = e13
% 14.03/3.66 |
% 14.03/3.66 +-Applying beta-rule and splitting (316), into two cases.
% 14.03/3.66 |-Branch one:
% 14.03/3.66 | (921) all_0_115_115 = all_0_136_136
% 14.03/3.66 |
% 14.03/3.66 | Combining equations (920,921) yields a new equation:
% 14.03/3.66 | (852) all_0_136_136 = e13
% 14.03/3.66 |
% 14.03/3.66 | Combining equations (852,670) yields a new equation:
% 14.03/3.66 | (635) e13 = e11
% 14.03/3.66 |
% 14.03/3.66 | Simplifying 635 yields:
% 14.03/3.66 | (636) e13 = e11
% 14.03/3.66 |
% 14.03/3.66 | Equations (636) can reduce 363 to:
% 14.03/3.66 | (414) $false
% 14.03/3.66 |
% 14.03/3.66 |-The branch is then unsatisfiable
% 14.03/3.66 |-Branch two:
% 14.03/3.66 | (926) ~ (all_0_115_115 = all_0_136_136)
% 14.03/3.66 | (927) all_0_116_116 = all_0_140_140 | all_0_117_117 = all_0_144_144 | all_0_118_118 = all_0_147_147
% 14.03/3.66 |
% 14.03/3.66 +-Applying beta-rule and splitting (927), into two cases.
% 14.03/3.66 |-Branch one:
% 14.03/3.66 | (928) all_0_116_116 = all_0_140_140
% 14.03/3.66 |
% 14.03/3.66 | Combining equations (899,928) yields a new equation:
% 14.03/3.66 | (929) all_0_140_140 = e12
% 14.03/3.66 |
% 14.03/3.66 | Combining equations (929,644) yields a new equation:
% 14.03/3.66 | (834) e13 = e12
% 14.03/3.66 |
% 14.03/3.66 | Equations (834) can reduce 302 to:
% 14.03/3.66 | (414) $false
% 14.03/3.66 |
% 14.03/3.66 |-The branch is then unsatisfiable
% 14.03/3.66 |-Branch two:
% 14.03/3.66 | (932) ~ (all_0_116_116 = all_0_140_140)
% 14.03/3.66 | (933) all_0_117_117 = all_0_144_144 | all_0_118_118 = all_0_147_147
% 14.03/3.66 |
% 14.03/3.66 | Equations (899,644) can reduce 932 to:
% 14.03/3.66 | (676) ~ (e13 = e12)
% 14.03/3.66 |
% 14.03/3.66 | Simplifying 676 yields:
% 14.03/3.66 | (302) ~ (e13 = e12)
% 14.03/3.66 |
% 14.03/3.66 +-Applying beta-rule and splitting (933), into two cases.
% 14.03/3.66 |-Branch one:
% 14.03/3.66 | (936) all_0_117_117 = all_0_144_144
% 14.03/3.66 |
% 14.03/3.66 | Combining equations (919,936) yields a new equation:
% 14.03/3.66 | (867) all_0_144_144 = e13
% 14.03/3.66 |
% 14.03/3.66 | Combining equations (882,867) yields a new equation:
% 14.03/3.66 | (834) e13 = e12
% 14.03/3.66 |
% 14.03/3.66 | Equations (834) can reduce 302 to:
% 14.03/3.66 | (414) $false
% 14.03/3.66 |
% 14.03/3.66 |-The branch is then unsatisfiable
% 14.03/3.66 |-Branch two:
% 14.03/3.66 | (940) ~ (all_0_117_117 = all_0_144_144)
% 14.03/3.66 | (941) all_0_118_118 = all_0_147_147
% 14.03/3.66 |
% 14.03/3.66 | Combining equations (655,941) yields a new equation:
% 14.03/3.66 | (942) all_0_147_147 = e11
% 14.03/3.66 |
% 14.03/3.66 | Combining equations (942,626) yields a new equation:
% 14.03/3.66 | (943) e11 = e10
% 14.03/3.66 |
% 14.03/3.66 | Simplifying 943 yields:
% 14.03/3.66 | (944) e11 = e10
% 14.03/3.66 |
% 14.03/3.66 | Equations (944) can reduce 306 to:
% 14.03/3.66 | (414) $false
% 14.03/3.66 |
% 14.03/3.66 |-The branch is then unsatisfiable
% 14.03/3.66 |-Branch two:
% 14.03/3.66 | (836) ~ (all_0_141_141 = e12)
% 14.03/3.66 | (947) all_0_145_145 = e12
% 14.03/3.66 |
% 14.03/3.66 | Combining equations (685,947) yields a new equation:
% 14.03/3.66 | (682) e12 = e10
% 14.03/3.66 |
% 14.03/3.66 | Equations (682) can reduce 164 to:
% 14.03/3.66 | (414) $false
% 14.03/3.66 |
% 14.03/3.66 |-The branch is then unsatisfiable
% 14.03/3.66 |-Branch two:
% 14.03/3.66 | (694) ~ (all_0_135_135 = e12)
% 14.03/3.66 | (662) all_0_135_135 = e11
% 14.03/3.66 |
% 14.03/3.67 | Equations (662) can reduce 854 to:
% 14.03/3.67 | (414) $false
% 14.03/3.67 |
% 14.03/3.67 |-The branch is then unsatisfiable
% 14.03/3.67 |-Branch two:
% 14.03/3.67 | (804) ~ (all_0_139_139 = e10)
% 14.03/3.67 | (805) all_0_143_143 = e10 | all_0_146_146 = e10
% 14.03/3.67 |
% 14.03/3.67 +-Applying beta-rule and splitting (805), into two cases.
% 14.03/3.67 |-Branch one:
% 14.03/3.67 | (802) all_0_143_143 = e10
% 14.03/3.67 |
% 14.03/3.67 | Combining equations (802,716) yields a new equation:
% 14.03/3.67 | (944) e11 = e10
% 14.03/3.67 |
% 14.03/3.67 | Equations (944) can reduce 306 to:
% 14.03/3.67 | (414) $false
% 14.03/3.67 |
% 14.03/3.67 |-The branch is then unsatisfiable
% 14.03/3.67 |-Branch two:
% 14.03/3.67 | (686) ~ (all_0_143_143 = e10)
% 14.03/3.67 | (959) all_0_146_146 = e10
% 14.03/3.67 |
% 14.03/3.67 | Combining equations (959,615) yields a new equation:
% 14.03/3.67 | (818) e13 = e10
% 14.03/3.67 |
% 14.03/3.67 | Equations (818) can reduce 197 to:
% 14.03/3.67 | (414) $false
% 14.03/3.67 |
% 14.03/3.67 |-The branch is then unsatisfiable
% 14.03/3.67 |-Branch two:
% 14.03/3.67 | (962) ~ (all_0_144_144 = e12)
% 14.03/3.67 | (963) all_0_144_144 = e11 | all_0_144_144 = e10
% 14.03/3.67 |
% 14.03/3.67 +-Applying beta-rule and splitting (963), into two cases.
% 14.03/3.67 |-Branch one:
% 14.03/3.67 | (721) all_0_144_144 = e11
% 14.03/3.67 |
% 14.03/3.67 | Equations (721) can reduce 877 to:
% 14.03/3.67 | (414) $false
% 14.03/3.67 |
% 14.03/3.67 |-The branch is then unsatisfiable
% 14.03/3.67 |-Branch two:
% 14.03/3.67 | (877) ~ (all_0_144_144 = e11)
% 14.03/3.67 | (967) all_0_144_144 = e10
% 14.03/3.67 |
% 14.03/3.67 | Equations (967) can reduce 629 to:
% 14.03/3.67 | (414) $false
% 14.03/3.67 |
% 14.03/3.67 |-The branch is then unsatisfiable
% 14.03/3.67 |-Branch two:
% 14.03/3.67 | (969) ~ (all_0_140_140 = e13)
% 14.03/3.67 | (894) all_0_141_141 = e13
% 14.03/3.67 |
% 14.03/3.67 | Equations (894) can reduce 607 to:
% 14.03/3.67 | (414) $false
% 14.03/3.67 |
% 14.03/3.67 |-The branch is then unsatisfiable
% 14.03/3.67 |-Branch two:
% 14.03/3.67 | (972) ~ (all_0_146_146 = e13)
% 14.03/3.67 | (959) all_0_146_146 = e10
% 14.03/3.67 |
% 14.03/3.67 | Equations (959) can reduce 230 to:
% 14.03/3.67 | (686) ~ (all_0_143_143 = e10)
% 14.03/3.67 |
% 14.03/3.67 | Equations (959) can reduce 341 to:
% 14.03/3.67 | (975) ~ (all_0_147_147 = e10)
% 14.03/3.67 |
% 14.03/3.67 | Simplifying 975 yields:
% 14.03/3.67 | (976) ~ (all_0_147_147 = e10)
% 14.03/3.67 |
% 14.03/3.67 | Equations (959) can reduce 308 to:
% 14.03/3.67 | (630) ~ (e12 = e10)
% 14.03/3.67 |
% 14.03/3.67 | Simplifying 630 yields:
% 14.03/3.67 | (164) ~ (e12 = e10)
% 14.03/3.67 |
% 14.03/3.67 | From (959) and (147) follows:
% 14.03/3.67 | (979) op1(e10, e10) = all_0_114_114
% 14.03/3.67 |
% 14.03/3.67 +-Applying beta-rule and splitting (325), into two cases.
% 14.03/3.67 |-Branch one:
% 14.03/3.67 | (623) all_0_147_147 = e13
% 14.03/3.67 |
% 14.03/3.67 | Equations (623) can reduce 185 to:
% 14.03/3.67 | (645) ~ (all_0_136_136 = e13)
% 14.03/3.67 |
% 14.03/3.67 | Equations (623) can reduce 352 to:
% 14.03/3.67 | (969) ~ (all_0_140_140 = e13)
% 14.03/3.67 |
% 14.03/3.67 | Equations (623) can reduce 121 to:
% 14.03/3.67 | (363) ~ (e13 = e11)
% 14.03/3.67 |
% 14.03/3.67 | From (623) and (99) follows:
% 14.03/3.67 | (984) op1(e10, e11) = e13
% 14.03/3.67 |
% 14.03/3.67 +-Applying beta-rule and splitting (188), into two cases.
% 14.03/3.67 |-Branch one:
% 14.03/3.67 | (584) all_0_138_138 = e13
% 14.03/3.67 |
% 14.03/3.67 | Combining equations (584,587) yields a new equation:
% 14.03/3.67 | (635) e13 = e11
% 14.03/3.67 |
% 14.03/3.67 | Simplifying 635 yields:
% 14.03/3.67 | (636) e13 = e11
% 14.03/3.67 |
% 14.03/3.67 | Equations (636) can reduce 363 to:
% 14.03/3.67 | (414) $false
% 14.03/3.67 |
% 14.03/3.67 |-The branch is then unsatisfiable
% 14.03/3.67 |-Branch two:
% 14.03/3.67 | (576) ~ (all_0_138_138 = e13)
% 14.03/3.67 | (639) all_0_139_139 = e13 | all_0_140_140 = e13 | all_0_141_141 = e13
% 14.03/3.67 |
% 14.03/3.67 +-Applying beta-rule and splitting (639), into two cases.
% 14.03/3.67 |-Branch one:
% 14.03/3.67 | (640) all_0_139_139 = e13
% 14.03/3.67 |
% 14.03/3.67 | Equations (640) can reduce 156 to:
% 14.03/3.67 | (616) ~ (all_0_135_135 = e13)
% 14.03/3.67 |
% 14.03/3.67 | Equations (640) can reduce 319 to:
% 14.03/3.67 | (993) ~ (all_0_140_140 = e13)
% 14.03/3.67 |
% 14.03/3.67 | Simplifying 993 yields:
% 14.03/3.67 | (969) ~ (all_0_140_140 = e13)
% 14.03/3.67 |
% 14.03/3.67 | Equations (640) can reduce 332 to:
% 14.03/3.67 | (577) ~ (all_0_143_143 = e13)
% 14.03/3.67 |
% 14.03/3.67 | Simplifying 577 yields:
% 14.03/3.67 | (578) ~ (all_0_143_143 = e13)
% 14.03/3.67 |
% 14.03/3.67 | From (640) and (150) follows:
% 14.03/3.67 | (997) op1(e13, e12) = all_0_112_112
% 14.03/3.67 |
% 14.03/3.67 | From (640) and (194) follows:
% 14.03/3.67 | (998) op1(e12, e12) = e13
% 14.03/3.67 |
% 14.03/3.67 | Instantiating formula (326) with e13, e12, all_0_112_112, all_0_135_135 and discharging atoms op1(e13, e12) = all_0_112_112, op1(e13, e12) = all_0_135_135, yields:
% 14.03/3.67 | (999) all_0_112_112 = all_0_135_135
% 14.03/3.67 |
% 14.03/3.67 | Instantiating formula (326) with e10, e10, all_0_114_114, e11 and discharging atoms op1(e10, e10) = all_0_114_114, op1(e10, e10) = e11, yields:
% 14.03/3.67 | (1000) all_0_114_114 = e11
% 14.03/3.67 |
% 14.03/3.67 +-Applying beta-rule and splitting (29), into two cases.
% 14.03/3.67 |-Branch one:
% 14.03/3.67 | (662) all_0_135_135 = e11
% 14.03/3.67 |
% 14.03/3.67 | Equations (662) can reduce 41 to:
% 14.03/3.67 | (663) ~ (all_0_136_136 = e11)
% 14.03/3.67 |
% 14.03/3.67 | Simplifying 663 yields:
% 14.03/3.67 | (664) ~ (all_0_136_136 = e11)
% 14.03/3.67 |
% 14.03/3.67 +-Applying beta-rule and splitting (272), into two cases.
% 14.03/3.67 |-Branch one:
% 14.03/3.67 | (852) all_0_136_136 = e13
% 14.03/3.67 |
% 14.03/3.67 | Equations (852) can reduce 645 to:
% 14.03/3.67 | (414) $false
% 14.03/3.67 |
% 14.03/3.67 |-The branch is then unsatisfiable
% 14.03/3.67 |-Branch two:
% 14.03/3.67 | (645) ~ (all_0_136_136 = e13)
% 14.03/3.67 | (1007) all_0_136_136 = e12 | all_0_136_136 = e11
% 14.03/3.67 |
% 14.03/3.67 +-Applying beta-rule and splitting (112), into two cases.
% 14.03/3.67 |-Branch one:
% 14.03/3.68 | (674) all_0_141_141 = e12
% 14.03/3.68 |
% 14.03/3.68 | From (674) and (231) follows:
% 14.03/3.68 | (1009) op1(e12, e12) = all_0_120_120
% 14.03/3.68 |
% 14.03/3.68 +-Applying beta-rule and splitting (214), into two cases.
% 14.03/3.68 |-Branch one:
% 14.03/3.68 | (680) all_0_141_141 = e10
% 14.03/3.68 |
% 14.03/3.68 | Combining equations (674,680) yields a new equation:
% 14.03/3.68 | (681) e12 = e10
% 14.03/3.68 |
% 14.03/3.68 | Simplifying 681 yields:
% 14.03/3.68 | (682) e12 = e10
% 14.03/3.68 |
% 14.03/3.68 | Equations (682) can reduce 164 to:
% 14.03/3.68 | (414) $false
% 14.03/3.68 |
% 14.03/3.68 |-The branch is then unsatisfiable
% 14.03/3.68 |-Branch two:
% 14.03/3.68 | (684) ~ (all_0_141_141 = e10)
% 14.03/3.68 | (685) all_0_145_145 = e10
% 14.03/3.68 |
% 14.03/3.68 | Equations (685) can reduce 375 to:
% 14.03/3.68 | (629) ~ (all_0_144_144 = e10)
% 14.03/3.68 |
% 14.03/3.68 | Equations (685) can reduce 609 to:
% 14.03/3.68 | (687) ~ (e13 = e10)
% 14.03/3.68 |
% 14.03/3.68 | Simplifying 687 yields:
% 14.03/3.68 | (197) ~ (e13 = e10)
% 14.03/3.68 |
% 14.03/3.68 | From (685) and (135) follows:
% 14.03/3.68 | (1019) op1(e10, e11) = all_0_121_121
% 14.03/3.68 |
% 14.03/3.68 +-Applying beta-rule and splitting (385), into two cases.
% 14.03/3.68 |-Branch one:
% 14.03/3.68 | (817) all_0_140_140 = e10
% 14.03/3.68 |
% 14.03/3.68 | Equations (817) can reduce 2 to:
% 14.03/3.68 | (345) ~ (all_0_136_136 = e10)
% 14.03/3.68 |
% 14.03/3.68 | Equations (817) can reduce 969 to:
% 14.03/3.68 | (687) ~ (e13 = e10)
% 14.03/3.68 |
% 14.03/3.68 | Simplifying 687 yields:
% 14.03/3.68 | (197) ~ (e13 = e10)
% 14.03/3.68 |
% 14.03/3.68 | Equations (817) can reduce 591 to:
% 14.03/3.68 | (892) ~ (e11 = e10)
% 14.03/3.68 |
% 14.03/3.68 | Simplifying 892 yields:
% 14.03/3.68 | (306) ~ (e11 = e10)
% 14.03/3.68 |
% 14.03/3.68 +-Applying beta-rule and splitting (1007), into two cases.
% 14.03/3.68 |-Branch one:
% 14.03/3.68 | (702) all_0_136_136 = e12
% 14.03/3.68 |
% 14.03/3.68 | Equations (702) can reduce 186 to:
% 14.03/3.68 | (1027) ~ (all_0_144_144 = e12)
% 14.03/3.68 |
% 14.03/3.68 | Simplifying 1027 yields:
% 14.03/3.68 | (962) ~ (all_0_144_144 = e12)
% 14.03/3.68 |
% 14.03/3.68 | Equations (702) can reduce 664 to:
% 14.03/3.68 | (328) ~ (e12 = e11)
% 14.03/3.68 |
% 14.03/3.68 | Equations (702) can reduce 345 to:
% 14.03/3.68 | (164) ~ (e12 = e10)
% 14.03/3.68 |
% 14.03/3.68 +-Applying beta-rule and splitting (92), into two cases.
% 14.03/3.68 |-Branch one:
% 14.03/3.68 | (670) all_0_136_136 = e11
% 14.03/3.68 |
% 14.03/3.68 | Combining equations (702,670) yields a new equation:
% 14.03/3.68 | (691) e12 = e11
% 14.03/3.68 |
% 14.03/3.68 | Simplifying 691 yields:
% 14.03/3.68 | (692) e12 = e11
% 14.03/3.68 |
% 14.03/3.68 | Equations (692) can reduce 328 to:
% 14.03/3.68 | (414) $false
% 14.03/3.68 |
% 14.03/3.68 |-The branch is then unsatisfiable
% 14.03/3.68 |-Branch two:
% 14.03/3.68 | (664) ~ (all_0_136_136 = e11)
% 14.03/3.68 | (673) all_0_140_140 = e11 | all_0_144_144 = e11
% 14.03/3.68 |
% 14.03/3.68 +-Applying beta-rule and splitting (13), into two cases.
% 14.03/3.68 |-Branch one:
% 14.03/3.68 | (713) all_0_143_143 = e12
% 14.03/3.68 |
% 14.03/3.68 | Equations (713) can reduce 578 to:
% 14.03/3.68 | (676) ~ (e13 = e12)
% 14.03/3.68 |
% 14.03/3.68 | Simplifying 676 yields:
% 14.03/3.68 | (302) ~ (e13 = e12)
% 14.03/3.68 |
% 14.03/3.68 | Instantiating formula (326) with e12, e12, all_0_120_120, e13 and discharging atoms op1(e12, e12) = all_0_120_120, op1(e12, e12) = e13, yields:
% 14.03/3.68 | (1040) all_0_120_120 = e13
% 14.03/3.68 |
% 14.03/3.68 | Instantiating formula (326) with e10, e11, all_0_121_121, e13 and discharging atoms op1(e10, e11) = all_0_121_121, op1(e10, e11) = e13, yields:
% 14.03/3.68 | (1041) all_0_121_121 = e13
% 14.03/3.68 |
% 14.03/3.68 +-Applying beta-rule and splitting (253), into two cases.
% 14.03/3.68 |-Branch one:
% 14.03/3.68 | (1042) all_0_119_119 = all_0_137_137
% 14.03/3.68 |
% 14.03/3.68 | Combining equations (612,1042) yields a new equation:
% 14.03/3.68 | (1043) all_0_137_137 = e10
% 14.03/3.68 |
% 14.03/3.68 | Combining equations (605,1043) yields a new equation:
% 14.03/3.68 | (1044) e13 = e10
% 14.03/3.68 |
% 14.03/3.68 | Simplifying 1044 yields:
% 14.03/3.68 | (818) e13 = e10
% 14.03/3.68 |
% 14.03/3.68 | Equations (818) can reduce 197 to:
% 14.03/3.68 | (414) $false
% 14.03/3.68 |
% 14.03/3.68 |-The branch is then unsatisfiable
% 14.03/3.68 |-Branch two:
% 14.03/3.68 | (1047) ~ (all_0_119_119 = all_0_137_137)
% 14.03/3.68 | (1048) all_0_120_120 = all_0_141_141 | all_0_121_121 = all_0_145_145
% 14.03/3.68 |
% 14.03/3.68 | Equations (612,605) can reduce 1047 to:
% 14.03/3.68 | (687) ~ (e13 = e10)
% 14.03/3.68 |
% 14.03/3.68 | Simplifying 687 yields:
% 14.03/3.68 | (197) ~ (e13 = e10)
% 14.03/3.68 |
% 14.03/3.68 +-Applying beta-rule and splitting (1048), into two cases.
% 14.03/3.68 |-Branch one:
% 14.03/3.68 | (1051) all_0_120_120 = all_0_141_141
% 14.03/3.68 |
% 14.03/3.68 | Combining equations (1051,1040) yields a new equation:
% 14.03/3.68 | (1052) all_0_141_141 = e13
% 14.03/3.68 |
% 14.03/3.68 | Simplifying 1052 yields:
% 14.03/3.68 | (894) all_0_141_141 = e13
% 14.03/3.68 |
% 14.03/3.68 | Combining equations (674,894) yields a new equation:
% 14.03/3.68 | (834) e13 = e12
% 14.03/3.68 |
% 14.03/3.68 | Equations (834) can reduce 302 to:
% 14.03/3.68 | (414) $false
% 14.03/3.68 |
% 14.03/3.68 |-The branch is then unsatisfiable
% 14.03/3.68 |-Branch two:
% 14.03/3.68 | (1056) ~ (all_0_120_120 = all_0_141_141)
% 14.03/3.68 | (1057) all_0_121_121 = all_0_145_145
% 14.03/3.68 |
% 14.03/3.68 | Combining equations (1057,1041) yields a new equation:
% 14.03/3.68 | (1058) all_0_145_145 = e13
% 14.03/3.68 |
% 14.03/3.68 | Simplifying 1058 yields:
% 14.03/3.68 | (1059) all_0_145_145 = e13
% 14.03/3.68 |
% 14.03/3.68 | Combining equations (685,1059) yields a new equation:
% 14.03/3.68 | (818) e13 = e10
% 14.03/3.68 |
% 14.03/3.68 | Equations (818) can reduce 197 to:
% 14.03/3.68 | (414) $false
% 14.03/3.68 |
% 14.03/3.68 |-The branch is then unsatisfiable
% 14.03/3.68 |-Branch two:
% 14.03/3.68 | (787) ~ (all_0_143_143 = e12)
% 14.03/3.68 | (788) all_0_144_144 = e12 | all_0_145_145 = e12
% 14.03/3.68 |
% 14.03/3.68 +-Applying beta-rule and splitting (673), into two cases.
% 14.03/3.68 |-Branch one:
% 14.03/3.68 | (793) all_0_140_140 = e11
% 14.03/3.68 |
% 14.03/3.68 | Combining equations (793,817) yields a new equation:
% 14.03/3.68 | (943) e11 = e10
% 14.03/3.68 |
% 14.03/3.68 | Simplifying 943 yields:
% 14.03/3.68 | (944) e11 = e10
% 14.03/3.68 |
% 14.03/3.68 | Equations (944) can reduce 306 to:
% 14.03/3.68 | (414) $false
% 14.03/3.68 |
% 14.03/3.68 |-The branch is then unsatisfiable
% 14.03/3.68 |-Branch two:
% 14.03/3.68 | (591) ~ (all_0_140_140 = e11)
% 14.03/3.68 | (721) all_0_144_144 = e11
% 14.03/3.68 |
% 14.03/3.68 | Equations (721) can reduce 962 to:
% 14.03/3.68 | (1070) ~ (e12 = e11)
% 14.03/3.68 |
% 14.03/3.68 | Simplifying 1070 yields:
% 14.03/3.68 | (328) ~ (e12 = e11)
% 14.03/3.68 |
% 14.03/3.68 +-Applying beta-rule and splitting (788), into two cases.
% 14.03/3.68 |-Branch one:
% 14.03/3.68 | (882) all_0_144_144 = e12
% 14.03/3.68 |
% 14.03/3.68 | Combining equations (721,882) yields a new equation:
% 14.03/3.68 | (692) e12 = e11
% 14.03/3.68 |
% 14.03/3.68 | Equations (692) can reduce 328 to:
% 14.03/3.68 | (414) $false
% 14.03/3.68 |
% 14.03/3.68 |-The branch is then unsatisfiable
% 14.03/3.68 |-Branch two:
% 14.03/3.68 | (962) ~ (all_0_144_144 = e12)
% 14.03/3.68 | (947) all_0_145_145 = e12
% 14.03/3.68 |
% 14.03/3.68 | Combining equations (947,685) yields a new equation:
% 14.03/3.68 | (681) e12 = e10
% 14.03/3.68 |
% 14.03/3.68 | Simplifying 681 yields:
% 14.03/3.68 | (682) e12 = e10
% 14.03/3.68 |
% 14.03/3.68 | Equations (682) can reduce 164 to:
% 14.03/3.68 | (414) $false
% 14.03/3.68 |
% 14.03/3.68 |-The branch is then unsatisfiable
% 14.03/3.68 |-Branch two:
% 14.03/3.68 | (832) ~ (all_0_136_136 = e12)
% 14.03/3.68 | (670) all_0_136_136 = e11
% 14.03/3.68 |
% 14.03/3.68 | Equations (670) can reduce 664 to:
% 14.03/3.68 | (414) $false
% 14.03/3.68 |
% 14.03/3.68 |-The branch is then unsatisfiable
% 14.03/3.68 |-Branch two:
% 14.03/3.68 | (628) ~ (all_0_140_140 = e10)
% 14.03/3.68 | (1084) all_0_144_144 = e10 | all_0_147_147 = e10
% 14.03/3.68 |
% 14.03/3.68 +-Applying beta-rule and splitting (1084), into two cases.
% 14.03/3.68 |-Branch one:
% 14.03/3.68 | (967) all_0_144_144 = e10
% 14.03/3.68 |
% 14.03/3.68 | Equations (967) can reduce 629 to:
% 14.03/3.68 | (414) $false
% 14.03/3.68 |
% 14.03/3.68 |-The branch is then unsatisfiable
% 14.03/3.68 |-Branch two:
% 14.03/3.68 | (629) ~ (all_0_144_144 = e10)
% 14.03/3.68 | (626) all_0_147_147 = e10
% 14.03/3.68 |
% 14.03/3.68 | Combining equations (623,626) yields a new equation:
% 14.03/3.68 | (1044) e13 = e10
% 14.03/3.68 |
% 14.03/3.68 | Simplifying 1044 yields:
% 14.03/3.68 | (818) e13 = e10
% 14.03/3.68 |
% 14.03/3.68 | Equations (818) can reduce 197 to:
% 14.03/3.68 | (414) $false
% 14.03/3.68 |
% 14.03/3.68 |-The branch is then unsatisfiable
% 14.03/3.68 |-Branch two:
% 14.03/3.68 | (836) ~ (all_0_141_141 = e12)
% 14.03/3.68 | (837) all_0_109_109 = all_0_138_138 | all_0_110_110 = all_0_142_142
% 14.03/3.68 |
% 14.03/3.68 +-Applying beta-rule and splitting (1007), into two cases.
% 14.03/3.68 |-Branch one:
% 14.03/3.68 | (702) all_0_136_136 = e12
% 14.03/3.68 |
% 14.03/3.68 | Equations (702) can reduce 2 to:
% 14.03/3.68 | (1095) ~ (all_0_140_140 = e12)
% 14.03/3.68 |
% 14.03/3.68 | Simplifying 1095 yields:
% 14.03/3.68 | (1096) ~ (all_0_140_140 = e12)
% 14.03/3.68 |
% 14.03/3.68 | Equations (702) can reduce 645 to:
% 14.03/3.68 | (676) ~ (e13 = e12)
% 14.03/3.68 |
% 14.03/3.68 | Simplifying 676 yields:
% 14.03/3.68 | (302) ~ (e13 = e12)
% 14.03/3.68 |
% 14.03/3.68 +-Applying beta-rule and splitting (270), into two cases.
% 14.03/3.68 |-Branch one:
% 14.03/3.68 | (833) all_0_137_137 = e12
% 14.03/3.68 |
% 14.03/3.68 | Combining equations (605,833) yields a new equation:
% 14.03/3.68 | (1100) e13 = e12
% 14.03/3.68 |
% 14.03/3.68 | Simplifying 1100 yields:
% 14.03/3.68 | (834) e13 = e12
% 14.03/3.68 |
% 14.03/3.68 | Equations (834) can reduce 302 to:
% 14.03/3.68 | (414) $false
% 14.03/3.68 |
% 14.03/3.68 |-The branch is then unsatisfiable
% 14.03/3.68 |-Branch two:
% 14.03/3.68 | (914) ~ (all_0_137_137 = e12)
% 14.03/3.68 | (915) all_0_141_141 = e12 | all_0_145_145 = e12
% 14.03/3.68 |
% 14.03/3.68 | Equations (605) can reduce 914 to:
% 14.03/3.68 | (302) ~ (e13 = e12)
% 14.03/3.68 |
% 14.03/3.68 +-Applying beta-rule and splitting (336), into two cases.
% 14.03/3.68 |-Branch one:
% 14.03/3.68 | (827) all_0_139_139 = e12
% 14.03/3.68 |
% 14.03/3.68 | Combining equations (640,827) yields a new equation:
% 14.03/3.68 | (1100) e13 = e12
% 14.03/3.68 |
% 14.03/3.68 | Simplifying 1100 yields:
% 14.03/3.68 | (834) e13 = e12
% 14.03/3.68 |
% 14.03/3.68 | Equations (834) can reduce 302 to:
% 14.03/3.68 | (414) $false
% 14.03/3.68 |
% 14.03/3.68 |-The branch is then unsatisfiable
% 14.03/3.68 |-Branch two:
% 14.03/3.68 | (675) ~ (all_0_139_139 = e12)
% 14.03/3.68 | (908) all_0_140_140 = e12 | all_0_141_141 = e12
% 14.03/3.68 |
% 14.03/3.68 +-Applying beta-rule and splitting (908), into two cases.
% 14.03/3.68 |-Branch one:
% 14.03/3.68 | (929) all_0_140_140 = e12
% 14.03/3.68 |
% 14.03/3.68 | Equations (929) can reduce 1096 to:
% 14.03/3.68 | (414) $false
% 14.03/3.68 |
% 14.03/3.68 |-The branch is then unsatisfiable
% 14.03/3.68 |-Branch two:
% 14.03/3.69 | (1096) ~ (all_0_140_140 = e12)
% 14.03/3.69 | (674) all_0_141_141 = e12
% 14.03/3.69 |
% 14.03/3.69 | Equations (674) can reduce 836 to:
% 14.03/3.69 | (414) $false
% 14.03/3.69 |
% 14.03/3.69 |-The branch is then unsatisfiable
% 14.03/3.69 |-Branch two:
% 14.03/3.69 | (832) ~ (all_0_136_136 = e12)
% 14.03/3.69 | (670) all_0_136_136 = e11
% 14.03/3.69 |
% 14.03/3.69 | Equations (670) can reduce 664 to:
% 14.03/3.69 | (414) $false
% 14.03/3.69 |
% 14.03/3.69 |-The branch is then unsatisfiable
% 14.03/3.69 |-Branch two:
% 14.03/3.69 | (854) ~ (all_0_135_135 = e11)
% 14.03/3.69 | (670) all_0_136_136 = e11
% 14.03/3.69 |
% 14.03/3.69 | Equations (670) can reduce 186 to:
% 14.03/3.69 | (876) ~ (all_0_144_144 = e11)
% 14.03/3.69 |
% 14.03/3.69 | Simplifying 876 yields:
% 14.03/3.69 | (877) ~ (all_0_144_144 = e11)
% 14.03/3.69 |
% 14.03/3.69 | Equations (670) can reduce 645 to:
% 14.03/3.69 | (594) ~ (e13 = e11)
% 14.03/3.69 |
% 14.03/3.69 | Simplifying 594 yields:
% 14.03/3.69 | (363) ~ (e13 = e11)
% 14.03/3.69 |
% 14.03/3.69 +-Applying beta-rule and splitting (72), into two cases.
% 14.03/3.69 |-Branch one:
% 14.03/3.69 | (859) all_0_135_135 = e13
% 14.03/3.69 |
% 14.03/3.69 | Equations (859) can reduce 616 to:
% 14.03/3.69 | (414) $false
% 14.03/3.69 |
% 14.03/3.69 |-The branch is then unsatisfiable
% 14.03/3.69 |-Branch two:
% 14.03/3.69 | (616) ~ (all_0_135_135 = e13)
% 14.03/3.69 | (862) all_0_135_135 = e12 | all_0_135_135 = e11
% 14.03/3.69 |
% 14.03/3.69 +-Applying beta-rule and splitting (247), into two cases.
% 14.03/3.69 |-Branch one:
% 14.03/3.69 | (690) all_0_135_135 = e12
% 14.03/3.69 |
% 14.03/3.69 | Combining equations (690,999) yields a new equation:
% 14.03/3.69 | (1131) all_0_112_112 = e12
% 14.03/3.69 |
% 14.03/3.69 | Equations (690) can reduce 240 to:
% 14.03/3.69 | (1132) ~ (all_0_143_143 = e12)
% 14.03/3.69 |
% 14.03/3.69 | Simplifying 1132 yields:
% 14.03/3.69 | (787) ~ (all_0_143_143 = e12)
% 14.03/3.69 |
% 14.03/3.69 | Equations (690) can reduce 616 to:
% 14.03/3.69 | (676) ~ (e13 = e12)
% 14.03/3.69 |
% 14.03/3.69 | Simplifying 676 yields:
% 14.03/3.69 | (302) ~ (e13 = e12)
% 14.03/3.69 |
% 14.03/3.69 | From (690) and (77) follows:
% 14.03/3.69 | (1136) op1(e12, e13) = all_0_111_111
% 14.03/3.69 |
% 14.03/3.69 +-Applying beta-rule and splitting (377), into two cases.
% 14.03/3.69 |-Branch one:
% 14.03/3.69 | (696) all_0_142_142 = e11
% 14.03/3.69 |
% 14.03/3.69 | Combining equations (575,696) yields a new equation:
% 14.03/3.69 | (635) e13 = e11
% 14.03/3.69 |
% 14.03/3.69 | Simplifying 635 yields:
% 14.03/3.69 | (636) e13 = e11
% 14.03/3.69 |
% 14.03/3.69 | Equations (636) can reduce 363 to:
% 14.03/3.69 | (414) $false
% 14.03/3.69 |
% 14.03/3.69 |-The branch is then unsatisfiable
% 14.03/3.69 |-Branch two:
% 14.03/3.69 | (699) ~ (all_0_142_142 = e11)
% 14.03/3.69 | (700) all_0_143_143 = e11 | all_0_144_144 = e11
% 14.03/3.69 |
% 14.03/3.69 +-Applying beta-rule and splitting (700), into two cases.
% 14.03/3.69 |-Branch one:
% 14.03/3.69 | (716) all_0_143_143 = e11
% 14.03/3.69 |
% 14.03/3.69 | Equations (716) can reduce 82 to:
% 14.03/3.69 | (876) ~ (all_0_144_144 = e11)
% 14.03/3.69 |
% 14.03/3.69 | Simplifying 876 yields:
% 14.03/3.69 | (877) ~ (all_0_144_144 = e11)
% 14.03/3.69 |
% 14.03/3.69 | Equations (716) can reduce 787 to:
% 14.03/3.69 | (1070) ~ (e12 = e11)
% 14.03/3.69 |
% 14.03/3.69 | Simplifying 1070 yields:
% 14.03/3.69 | (328) ~ (e12 = e11)
% 14.03/3.69 |
% 14.03/3.69 | Equations (716) can reduce 686 to:
% 14.03/3.69 | (306) ~ (e11 = e10)
% 14.03/3.69 |
% 14.03/3.69 | From (716) and (5) follows:
% 14.03/3.69 | (1149) op1(e11, e11) = all_0_113_113
% 14.03/3.69 |
% 14.03/3.69 | Instantiating formula (326) with e12, e13, all_0_111_111, e11 and discharging atoms op1(e12, e13) = all_0_111_111, op1(e12, e13) = e11, yields:
% 14.03/3.69 | (1150) all_0_111_111 = e11
% 14.03/3.69 |
% 14.03/3.69 | Instantiating formula (326) with e11, e11, all_0_113_113, all_0_144_144 and discharging atoms op1(e11, e11) = all_0_113_113, op1(e11, e11) = all_0_144_144, yields:
% 14.03/3.69 | (1151) all_0_113_113 = all_0_144_144
% 14.03/3.69 |
% 14.03/3.69 +-Applying beta-rule and splitting (109), into two cases.
% 14.03/3.69 |-Branch one:
% 14.03/3.69 | (1152) all_0_111_111 = all_0_135_135
% 14.03/3.69 |
% 14.03/3.69 | Combining equations (1150,1152) yields a new equation:
% 14.03/3.69 | (662) all_0_135_135 = e11
% 14.03/3.69 |
% 14.03/3.69 | Combining equations (690,662) yields a new equation:
% 14.03/3.69 | (691) e12 = e11
% 14.03/3.69 |
% 14.03/3.69 | Simplifying 691 yields:
% 14.03/3.69 | (692) e12 = e11
% 14.03/3.69 |
% 14.03/3.69 | Equations (692) can reduce 328 to:
% 14.03/3.69 | (414) $false
% 14.03/3.69 |
% 14.03/3.69 |-The branch is then unsatisfiable
% 14.03/3.69 |-Branch two:
% 14.03/3.69 | (1157) ~ (all_0_111_111 = all_0_135_135)
% 14.03/3.69 | (1158) all_0_112_112 = all_0_139_139 | all_0_113_113 = all_0_143_143 | all_0_114_114 = all_0_146_146
% 14.03/3.69 |
% 14.03/3.69 +-Applying beta-rule and splitting (1158), into two cases.
% 14.03/3.69 |-Branch one:
% 14.03/3.69 | (1159) all_0_112_112 = all_0_139_139
% 14.03/3.69 |
% 14.03/3.69 | Combining equations (1159,1131) yields a new equation:
% 14.03/3.69 | (1160) all_0_139_139 = e12
% 14.03/3.69 |
% 14.03/3.69 | Simplifying 1160 yields:
% 14.03/3.69 | (827) all_0_139_139 = e12
% 14.03/3.69 |
% 14.03/3.69 | Combining equations (640,827) yields a new equation:
% 14.03/3.69 | (1100) e13 = e12
% 14.03/3.69 |
% 14.03/3.69 | Simplifying 1100 yields:
% 14.03/3.69 | (834) e13 = e12
% 14.03/3.69 |
% 14.03/3.69 | Equations (834) can reduce 302 to:
% 14.03/3.69 | (414) $false
% 14.03/3.69 |
% 14.03/3.69 |-The branch is then unsatisfiable
% 14.03/3.69 |-Branch two:
% 14.03/3.69 | (1165) ~ (all_0_112_112 = all_0_139_139)
% 14.03/3.69 | (1166) all_0_113_113 = all_0_143_143 | all_0_114_114 = all_0_146_146
% 14.03/3.69 |
% 14.03/3.69 +-Applying beta-rule and splitting (1166), into two cases.
% 14.03/3.69 |-Branch one:
% 14.03/3.69 | (1167) all_0_113_113 = all_0_143_143
% 14.03/3.69 |
% 14.03/3.69 | Combining equations (1151,1167) yields a new equation:
% 14.03/3.69 | (1168) all_0_143_143 = all_0_144_144
% 14.03/3.69 |
% 14.03/3.69 | Combining equations (1168,716) yields a new equation:
% 14.03/3.69 | (1169) all_0_144_144 = e11
% 14.03/3.69 |
% 14.03/3.69 | Simplifying 1169 yields:
% 14.03/3.69 | (721) all_0_144_144 = e11
% 14.03/3.69 |
% 14.03/3.69 | Equations (721) can reduce 877 to:
% 14.03/3.69 | (414) $false
% 14.03/3.69 |
% 14.03/3.69 |-The branch is then unsatisfiable
% 14.03/3.69 |-Branch two:
% 14.03/3.69 | (1172) ~ (all_0_113_113 = all_0_143_143)
% 14.03/3.69 | (1173) all_0_114_114 = all_0_146_146
% 14.03/3.69 |
% 14.03/3.69 | Combining equations (1000,1173) yields a new equation:
% 14.03/3.69 | (1174) all_0_146_146 = e11
% 14.03/3.69 |
% 14.03/3.69 | Combining equations (1174,959) yields a new equation:
% 14.03/3.69 | (943) e11 = e10
% 14.03/3.69 |
% 14.03/3.69 | Simplifying 943 yields:
% 14.03/3.69 | (944) e11 = e10
% 14.03/3.69 |
% 14.03/3.69 | Equations (944) can reduce 306 to:
% 14.03/3.69 | (414) $false
% 14.03/3.69 |
% 14.03/3.69 |-The branch is then unsatisfiable
% 14.03/3.69 |-Branch two:
% 14.03/3.69 | (666) ~ (all_0_143_143 = e11)
% 14.03/3.69 | (721) all_0_144_144 = e11
% 14.03/3.69 |
% 14.03/3.69 | Equations (721) can reduce 877 to:
% 14.03/3.69 | (414) $false
% 14.03/3.69 |
% 14.03/3.69 |-The branch is then unsatisfiable
% 14.03/3.69 |-Branch two:
% 14.03/3.69 | (694) ~ (all_0_135_135 = e12)
% 14.03/3.69 | (695) all_0_136_136 = e12 | all_0_137_137 = e12
% 14.03/3.69 |
% 14.03/3.69 +-Applying beta-rule and splitting (377), into two cases.
% 14.03/3.69 |-Branch one:
% 14.03/3.69 | (696) all_0_142_142 = e11
% 14.03/3.69 |
% 14.03/3.69 | Combining equations (696,575) yields a new equation:
% 14.03/3.69 | (636) e13 = e11
% 14.03/3.69 |
% 14.03/3.69 | Equations (636) can reduce 363 to:
% 14.03/3.69 | (414) $false
% 14.03/3.69 |
% 14.03/3.69 |-The branch is then unsatisfiable
% 14.03/3.69 |-Branch two:
% 14.03/3.69 | (699) ~ (all_0_142_142 = e11)
% 14.03/3.69 | (700) all_0_143_143 = e11 | all_0_144_144 = e11
% 14.03/3.69 |
% 14.03/3.69 +-Applying beta-rule and splitting (700), into two cases.
% 14.03/3.69 |-Branch one:
% 14.03/3.69 | (716) all_0_143_143 = e11
% 14.03/3.69 |
% 14.03/3.69 | Equations (716) can reduce 240 to:
% 14.03/3.69 | (854) ~ (all_0_135_135 = e11)
% 14.03/3.69 |
% 14.03/3.69 +-Applying beta-rule and splitting (250), into two cases.
% 14.03/3.69 |-Branch one:
% 14.03/3.69 | (690) all_0_135_135 = e12
% 14.03/3.69 |
% 14.03/3.69 | Equations (690) can reduce 694 to:
% 14.03/3.69 | (414) $false
% 14.03/3.69 |
% 14.03/3.69 |-The branch is then unsatisfiable
% 14.03/3.69 |-Branch two:
% 14.03/3.69 | (694) ~ (all_0_135_135 = e12)
% 14.03/3.69 | (814) all_0_139_139 = e12 | all_0_143_143 = e12
% 14.03/3.69 |
% 14.03/3.69 +-Applying beta-rule and splitting (862), into two cases.
% 14.03/3.69 |-Branch one:
% 14.03/3.69 | (690) all_0_135_135 = e12
% 14.03/3.69 |
% 14.03/3.69 | Equations (690) can reduce 694 to:
% 14.03/3.69 | (414) $false
% 14.03/3.69 |
% 14.03/3.69 |-The branch is then unsatisfiable
% 14.03/3.69 |-Branch two:
% 14.03/3.69 | (694) ~ (all_0_135_135 = e12)
% 14.03/3.69 | (662) all_0_135_135 = e11
% 14.03/3.69 |
% 14.03/3.69 | Equations (662) can reduce 854 to:
% 14.03/3.69 | (414) $false
% 14.03/3.69 |
% 14.03/3.69 |-The branch is then unsatisfiable
% 14.03/3.69 |-Branch two:
% 14.03/3.69 | (666) ~ (all_0_143_143 = e11)
% 14.03/3.69 | (721) all_0_144_144 = e11
% 14.03/3.69 |
% 14.03/3.69 | Equations (721) can reduce 877 to:
% 14.03/3.69 | (414) $false
% 14.03/3.69 |
% 14.03/3.69 |-The branch is then unsatisfiable
% 14.03/3.69 |-Branch two:
% 14.03/3.69 | (617) ~ (all_0_139_139 = e13)
% 14.03/3.69 | (643) all_0_140_140 = e13 | all_0_141_141 = e13
% 14.03/3.69 |
% 14.03/3.69 +-Applying beta-rule and splitting (643), into two cases.
% 14.03/3.69 |-Branch one:
% 14.03/3.69 | (644) all_0_140_140 = e13
% 14.03/3.69 |
% 14.03/3.69 | Equations (644) can reduce 969 to:
% 14.03/3.69 | (414) $false
% 14.03/3.69 |
% 14.03/3.69 |-The branch is then unsatisfiable
% 14.03/3.69 |-Branch two:
% 14.03/3.69 | (969) ~ (all_0_140_140 = e13)
% 14.03/3.69 | (894) all_0_141_141 = e13
% 14.03/3.69 |
% 14.03/3.69 | Equations (894) can reduce 607 to:
% 14.03/3.69 | (414) $false
% 14.03/3.69 |
% 14.03/3.69 |-The branch is then unsatisfiable
% 14.03/3.69 |-Branch two:
% 14.03/3.69 | (620) ~ (all_0_147_147 = e13)
% 14.03/3.69 | (626) all_0_147_147 = e10
% 14.03/3.69 |
% 14.03/3.69 | Equations (626) can reduce 976 to:
% 14.03/3.69 | (414) $false
% 14.03/3.69 |
% 14.03/3.69 |-The branch is then unsatisfiable
% 14.03/3.69 |-Branch two:
% 14.03/3.69 | (1212) ~ (all_0_137_137 = e13)
% 14.03/3.69 | (833) all_0_137_137 = e12
% 14.03/3.70 |
% 14.03/3.70 | Equations (833) can reduce 273 to:
% 14.03/3.70 | (1214) ~ (all_0_141_141 = e12)
% 14.03/3.70 |
% 14.03/3.70 | Simplifying 1214 yields:
% 14.03/3.70 | (836) ~ (all_0_141_141 = e12)
% 14.03/3.70 |
% 14.03/3.70 | Equations (833) can reduce 1212 to:
% 14.03/3.70 | (676) ~ (e13 = e12)
% 14.03/3.70 |
% 14.03/3.70 | Simplifying 676 yields:
% 14.03/3.70 | (302) ~ (e13 = e12)
% 14.03/3.70 |
% 14.03/3.70 +-Applying beta-rule and splitting (364), into two cases.
% 14.03/3.70 |-Branch one:
% 14.03/3.70 | (605) all_0_137_137 = e13
% 14.03/3.70 |
% 14.03/3.70 | Combining equations (833,605) yields a new equation:
% 14.03/3.70 | (834) e13 = e12
% 14.03/3.70 |
% 14.03/3.70 | Equations (834) can reduce 302 to:
% 14.03/3.70 | (414) $false
% 14.03/3.70 |
% 14.03/3.70 |-The branch is then unsatisfiable
% 14.03/3.70 |-Branch two:
% 14.03/3.70 | (1212) ~ (all_0_137_137 = e13)
% 14.03/3.70 | (1222) (all_0_139_139 = e11 & all_0_140_140 = e12 & ~ (all_0_142_142 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_144_144 = e11) & ~ (all_0_145_145 = e10)) | (all_0_139_139 = e10 & all_0_141_141 = e12) | (all_0_142_142 = e11 & all_0_144_144 = e13 & ~ (all_0_135_135 = e12) & ~ (all_0_136_136 = e11)) | (all_0_143_143 = e11 & all_0_144_144 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_139_139 = e12) & ~ (all_0_140_140 = e11) & ~ (all_0_141_141 = e10)) | (all_0_147_147 = e10 & ~ (all_0_142_142 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_144_144 = e11) & ~ (all_0_145_145 = e10))
% 14.03/3.70 |
% 14.03/3.70 +-Applying beta-rule and splitting (1222), into two cases.
% 14.03/3.70 |-Branch one:
% 14.03/3.70 | (1223) (all_0_139_139 = e11 & all_0_140_140 = e12 & ~ (all_0_142_142 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_144_144 = e11) & ~ (all_0_145_145 = e10)) | (all_0_139_139 = e10 & all_0_141_141 = e12) | (all_0_142_142 = e11 & all_0_144_144 = e13 & ~ (all_0_135_135 = e12) & ~ (all_0_136_136 = e11)) | (all_0_143_143 = e11 & all_0_144_144 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_139_139 = e12) & ~ (all_0_140_140 = e11) & ~ (all_0_141_141 = e10))
% 14.03/3.70 |
% 14.03/3.70 +-Applying beta-rule and splitting (1223), into two cases.
% 14.03/3.70 |-Branch one:
% 14.03/3.70 | (1224) (all_0_139_139 = e11 & all_0_140_140 = e12 & ~ (all_0_142_142 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_144_144 = e11) & ~ (all_0_145_145 = e10)) | (all_0_139_139 = e10 & all_0_141_141 = e12) | (all_0_142_142 = e11 & all_0_144_144 = e13 & ~ (all_0_135_135 = e12) & ~ (all_0_136_136 = e11))
% 14.03/3.70 |
% 14.03/3.70 +-Applying beta-rule and splitting (1224), into two cases.
% 14.03/3.70 |-Branch one:
% 14.03/3.70 | (1225) (all_0_139_139 = e11 & all_0_140_140 = e12 & ~ (all_0_142_142 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_144_144 = e11) & ~ (all_0_145_145 = e10)) | (all_0_139_139 = e10 & all_0_141_141 = e12)
% 14.03/3.70 |
% 14.03/3.70 +-Applying beta-rule and splitting (1225), into two cases.
% 14.03/3.70 |-Branch one:
% 14.03/3.70 | (1226) all_0_139_139 = e11 & all_0_140_140 = e12 & ~ (all_0_142_142 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_144_144 = e11) & ~ (all_0_145_145 = e10)
% 14.03/3.70 |
% 14.03/3.70 | Applying alpha-rule on (1226) yields:
% 14.03/3.70 | (1227) ~ (all_0_142_142 = e13)
% 14.03/3.70 | (1228) ~ (all_0_145_145 = e10)
% 14.03/3.70 | (787) ~ (all_0_143_143 = e12)
% 14.03/3.70 | (929) all_0_140_140 = e12
% 14.03/3.70 | (877) ~ (all_0_144_144 = e11)
% 14.03/3.70 | (871) all_0_139_139 = e11
% 14.03/3.70 |
% 14.03/3.70 | Equations (575) can reduce 1227 to:
% 14.03/3.70 | (414) $false
% 14.03/3.70 |
% 14.03/3.70 |-The branch is then unsatisfiable
% 14.03/3.70 |-Branch two:
% 14.03/3.70 | (1234) all_0_139_139 = e10 & all_0_141_141 = e12
% 14.03/3.70 |
% 14.03/3.70 | Applying alpha-rule on (1234) yields:
% 14.03/3.70 | (705) all_0_139_139 = e10
% 14.03/3.70 | (674) all_0_141_141 = e12
% 14.03/3.70 |
% 14.03/3.70 | Equations (674) can reduce 836 to:
% 14.03/3.70 | (414) $false
% 14.03/3.70 |
% 14.03/3.70 |-The branch is then unsatisfiable
% 14.03/3.70 |-Branch two:
% 14.03/3.70 | (1238) all_0_142_142 = e11 & all_0_144_144 = e13 & ~ (all_0_135_135 = e12) & ~ (all_0_136_136 = e11)
% 14.03/3.70 |
% 14.03/3.70 | Applying alpha-rule on (1238) yields:
% 14.03/3.70 | (696) all_0_142_142 = e11
% 14.03/3.70 | (867) all_0_144_144 = e13
% 14.03/3.70 | (694) ~ (all_0_135_135 = e12)
% 14.03/3.70 | (664) ~ (all_0_136_136 = e11)
% 14.03/3.70 |
% 14.03/3.70 | Combining equations (696,575) yields a new equation:
% 14.03/3.70 | (636) e13 = e11
% 14.03/3.70 |
% 14.03/3.70 | Equations (636) can reduce 363 to:
% 14.03/3.70 | (414) $false
% 14.03/3.70 |
% 14.03/3.70 |-The branch is then unsatisfiable
% 14.03/3.70 |-Branch two:
% 14.03/3.70 | (1245) all_0_143_143 = e11 & all_0_144_144 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_139_139 = e12) & ~ (all_0_140_140 = e11) & ~ (all_0_141_141 = e10)
% 14.03/3.70 |
% 14.03/3.70 | Applying alpha-rule on (1245) yields:
% 14.03/3.70 | (591) ~ (all_0_140_140 = e11)
% 14.03/3.70 | (675) ~ (all_0_139_139 = e12)
% 14.03/3.70 | (684) ~ (all_0_141_141 = e10)
% 14.03/3.70 | (576) ~ (all_0_138_138 = e13)
% 14.03/3.70 | (882) all_0_144_144 = e12
% 14.03/3.70 | (716) all_0_143_143 = e11
% 14.03/3.70 |
% 14.03/3.70 | Equations (716) can reduce 240 to:
% 14.03/3.70 | (854) ~ (all_0_135_135 = e11)
% 14.03/3.70 |
% 14.03/3.70 | Equations (882) can reduce 186 to:
% 14.03/3.70 | (832) ~ (all_0_136_136 = e12)
% 14.03/3.70 |
% 14.03/3.70 | Equations (716) can reduce 578 to:
% 14.03/3.70 | (594) ~ (e13 = e11)
% 14.03/3.70 |
% 14.03/3.70 | Simplifying 594 yields:
% 14.03/3.70 | (363) ~ (e13 = e11)
% 14.03/3.70 |
% 14.03/3.70 | Equations (882) can reduce 378 to:
% 14.03/3.70 | (1256) ~ (all_0_147_147 = e12)
% 14.03/3.70 |
% 14.03/3.70 | Simplifying 1256 yields:
% 14.03/3.70 | (381) ~ (all_0_147_147 = e12)
% 14.03/3.70 |
% 14.03/3.70 | Equations (882) can reduce 580 to:
% 14.03/3.70 | (676) ~ (e13 = e12)
% 14.03/3.70 |
% 14.03/3.70 | Simplifying 676 yields:
% 14.03/3.70 | (302) ~ (e13 = e12)
% 14.03/3.70 |
% 14.03/3.70 +-Applying beta-rule and splitting (29), into two cases.
% 14.03/3.70 |-Branch one:
% 14.03/3.70 | (662) all_0_135_135 = e11
% 14.03/3.70 |
% 14.03/3.70 | Equations (662) can reduce 854 to:
% 14.03/3.70 | (414) $false
% 14.03/3.70 |
% 14.03/3.70 |-The branch is then unsatisfiable
% 14.03/3.70 |-Branch two:
% 14.03/3.70 | (854) ~ (all_0_135_135 = e11)
% 14.03/3.70 | (670) all_0_136_136 = e11
% 14.03/3.70 |
% 14.03/3.70 | Equations (670) can reduce 832 to:
% 14.03/3.70 | (1070) ~ (e12 = e11)
% 14.03/3.70 |
% 14.03/3.70 | Simplifying 1070 yields:
% 14.03/3.70 | (328) ~ (e12 = e11)
% 14.03/3.70 |
% 14.03/3.70 +-Applying beta-rule and splitting (260), into two cases.
% 14.03/3.70 |-Branch one:
% 14.03/3.70 | (859) all_0_135_135 = e13
% 14.03/3.70 |
% 14.03/3.70 | Equations (859) can reduce 289 to:
% 14.03/3.70 | (1267) ~ (all_0_146_146 = e13)
% 14.03/3.70 |
% 14.03/3.70 | Simplifying 1267 yields:
% 14.03/3.70 | (972) ~ (all_0_146_146 = e13)
% 14.03/3.70 |
% 14.03/3.70 +-Applying beta-rule and splitting (86), into two cases.
% 14.03/3.70 |-Branch one:
% 14.03/3.70 | (615) all_0_146_146 = e13
% 14.03/3.70 |
% 14.03/3.70 | Equations (615) can reduce 972 to:
% 14.03/3.70 | (414) $false
% 14.03/3.70 |
% 14.03/3.70 |-The branch is then unsatisfiable
% 14.03/3.70 |-Branch two:
% 14.03/3.70 | (972) ~ (all_0_146_146 = e13)
% 14.03/3.70 | (959) all_0_146_146 = e10
% 14.03/3.70 |
% 14.03/3.70 | Equations (959) can reduce 972 to:
% 14.03/3.70 | (687) ~ (e13 = e10)
% 14.03/3.70 |
% 14.03/3.70 | Simplifying 687 yields:
% 14.03/3.70 | (197) ~ (e13 = e10)
% 14.03/3.70 |
% 14.03/3.70 +-Applying beta-rule and splitting (18), into two cases.
% 14.03/3.70 |-Branch one:
% 14.03/3.70 | (615) all_0_146_146 = e13
% 14.03/3.70 |
% 14.03/3.70 | Combining equations (615,959) yields a new equation:
% 14.03/3.70 | (1044) e13 = e10
% 14.03/3.70 |
% 14.03/3.70 | Simplifying 1044 yields:
% 14.03/3.70 | (818) e13 = e10
% 14.03/3.70 |
% 14.03/3.70 | Equations (818) can reduce 197 to:
% 14.03/3.70 | (414) $false
% 14.03/3.70 |
% 14.03/3.70 |-The branch is then unsatisfiable
% 14.03/3.70 |-Branch two:
% 14.03/3.70 | (972) ~ (all_0_146_146 = e13)
% 14.03/3.70 | (623) all_0_147_147 = e13
% 14.03/3.70 |
% 14.03/3.70 | Equations (623) can reduce 381 to:
% 14.03/3.70 | (302) ~ (e13 = e12)
% 14.03/3.70 |
% 14.03/3.70 +-Applying beta-rule and splitting (250), into two cases.
% 14.03/3.70 |-Branch one:
% 14.03/3.70 | (690) all_0_135_135 = e12
% 14.03/3.70 |
% 14.03/3.70 | Combining equations (859,690) yields a new equation:
% 14.03/3.70 | (1100) e13 = e12
% 14.03/3.70 |
% 14.03/3.70 | Simplifying 1100 yields:
% 14.03/3.70 | (834) e13 = e12
% 14.03/3.70 |
% 14.03/3.70 | Equations (834) can reduce 302 to:
% 14.03/3.70 | (414) $false
% 14.03/3.70 |
% 14.03/3.70 |-The branch is then unsatisfiable
% 14.03/3.70 |-Branch two:
% 14.03/3.70 | (694) ~ (all_0_135_135 = e12)
% 14.03/3.70 | (814) all_0_139_139 = e12 | all_0_143_143 = e12
% 14.03/3.70 |
% 14.03/3.70 +-Applying beta-rule and splitting (336), into two cases.
% 14.03/3.70 |-Branch one:
% 14.03/3.70 | (827) all_0_139_139 = e12
% 14.03/3.70 |
% 14.03/3.70 | Equations (827) can reduce 675 to:
% 14.03/3.70 | (414) $false
% 14.03/3.70 |
% 14.03/3.70 |-The branch is then unsatisfiable
% 14.03/3.70 |-Branch two:
% 14.03/3.70 | (675) ~ (all_0_139_139 = e12)
% 14.03/3.70 | (908) all_0_140_140 = e12 | all_0_141_141 = e12
% 14.03/3.70 |
% 14.03/3.70 +-Applying beta-rule and splitting (814), into two cases.
% 14.03/3.70 |-Branch one:
% 14.03/3.70 | (827) all_0_139_139 = e12
% 14.03/3.70 |
% 14.03/3.70 | Equations (827) can reduce 675 to:
% 14.03/3.70 | (414) $false
% 14.03/3.70 |
% 14.03/3.70 |-The branch is then unsatisfiable
% 14.03/3.70 |-Branch two:
% 14.03/3.70 | (675) ~ (all_0_139_139 = e12)
% 14.03/3.70 | (713) all_0_143_143 = e12
% 14.03/3.70 |
% 14.03/3.70 | Combining equations (716,713) yields a new equation:
% 14.03/3.70 | (692) e12 = e11
% 14.03/3.70 |
% 14.03/3.70 | Equations (692) can reduce 328 to:
% 14.03/3.70 | (414) $false
% 14.03/3.70 |
% 14.03/3.70 |-The branch is then unsatisfiable
% 14.03/3.70 |-Branch two:
% 14.03/3.70 | (616) ~ (all_0_135_135 = e13)
% 14.03/3.70 | (1299) all_0_136_136 = e13 | all_0_137_137 = e13
% 14.03/3.70 |
% 14.03/3.70 +-Applying beta-rule and splitting (1299), into two cases.
% 14.03/3.70 |-Branch one:
% 14.03/3.70 | (852) all_0_136_136 = e13
% 14.03/3.70 |
% 14.03/3.70 | Combining equations (852,670) yields a new equation:
% 14.03/3.70 | (635) e13 = e11
% 14.03/3.70 |
% 14.03/3.70 | Simplifying 635 yields:
% 14.03/3.70 | (636) e13 = e11
% 14.03/3.70 |
% 14.03/3.70 | Equations (636) can reduce 363 to:
% 14.03/3.70 | (414) $false
% 14.03/3.70 |
% 14.03/3.70 |-The branch is then unsatisfiable
% 14.03/3.70 |-Branch two:
% 14.03/3.70 | (645) ~ (all_0_136_136 = e13)
% 14.03/3.70 | (605) all_0_137_137 = e13
% 14.03/3.70 |
% 14.03/3.70 | Combining equations (605,833) yields a new equation:
% 14.03/3.70 | (1100) e13 = e12
% 14.03/3.70 |
% 14.03/3.70 | Simplifying 1100 yields:
% 14.03/3.70 | (834) e13 = e12
% 14.03/3.70 |
% 14.03/3.70 | Equations (834) can reduce 302 to:
% 14.03/3.70 | (414) $false
% 14.03/3.70 |
% 14.03/3.70 |-The branch is then unsatisfiable
% 14.03/3.70 |-Branch two:
% 14.03/3.70 | (1309) all_0_147_147 = e10 & ~ (all_0_142_142 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_144_144 = e11) & ~ (all_0_145_145 = e10)
% 14.03/3.70 |
% 14.03/3.70 | Applying alpha-rule on (1309) yields:
% 14.03/3.70 | (626) all_0_147_147 = e10
% 14.03/3.70 | (1227) ~ (all_0_142_142 = e13)
% 14.03/3.71 | (1228) ~ (all_0_145_145 = e10)
% 14.03/3.71 | (787) ~ (all_0_143_143 = e12)
% 14.03/3.71 | (877) ~ (all_0_144_144 = e11)
% 14.03/3.71 |
% 14.03/3.71 | Equations (575) can reduce 1227 to:
% 14.03/3.71 | (414) $false
% 14.03/3.71 |
% 14.03/3.71 |-The branch is then unsatisfiable
% 14.03/3.71 |-Branch two:
% 14.03/3.71 | (1227) ~ (all_0_142_142 = e13)
% 14.03/3.71 | (696) all_0_142_142 = e11
% 14.03/3.71 |
% 14.03/3.71 | Equations (696) can reduce 159 to:
% 14.03/3.71 | (1318) ~ (all_0_138_138 = e11)
% 14.03/3.71 |
% 14.03/3.71 | Equations (696) can reduce 118 to:
% 14.03/3.71 | (665) ~ (all_0_143_143 = e11)
% 14.03/3.71 |
% 14.03/3.71 | Simplifying 665 yields:
% 14.03/3.71 | (666) ~ (all_0_143_143 = e11)
% 14.03/3.71 |
% 14.03/3.71 | Equations (696) can reduce 71 to:
% 14.03/3.71 | (876) ~ (all_0_144_144 = e11)
% 14.03/3.71 |
% 14.03/3.71 | Simplifying 876 yields:
% 14.03/3.71 | (877) ~ (all_0_144_144 = e11)
% 14.03/3.71 |
% 14.03/3.71 | From (696) and (313) follows:
% 14.03/3.71 | (1323) op1(e11, e11) = all_0_110_110
% 14.03/3.71 |
% 14.03/3.71 +-Applying beta-rule and splitting (104), into two cases.
% 14.03/3.71 |-Branch one:
% 14.03/3.71 | (584) all_0_138_138 = e13
% 14.25/3.71 |
% 14.25/3.71 | Equations (584) can reduce 47 to:
% 14.25/3.71 | (993) ~ (all_0_140_140 = e13)
% 14.25/3.71 |
% 14.25/3.71 | Simplifying 993 yields:
% 14.25/3.71 | (969) ~ (all_0_140_140 = e13)
% 14.25/3.71 |
% 14.25/3.71 | Equations (584) can reduce 102 to:
% 14.25/3.71 | (606) ~ (all_0_141_141 = e13)
% 14.25/3.71 |
% 14.25/3.71 | Simplifying 606 yields:
% 14.25/3.71 | (607) ~ (all_0_141_141 = e13)
% 14.25/3.71 |
% 14.25/3.71 | From (584) and (7) follows:
% 14.25/3.71 | (1329) op1(e13, e12) = all_0_109_109
% 14.25/3.71 |
% 14.25/3.71 | From (584) and (233) follows:
% 14.25/3.71 | (1330) op1(e12, e13) = e13
% 14.25/3.71 |
% 14.25/3.71 | Instantiating formula (326) with e13, e12, all_0_109_109, all_0_135_135 and discharging atoms op1(e13, e12) = all_0_109_109, op1(e13, e12) = all_0_135_135, yields:
% 14.25/3.71 | (1331) all_0_109_109 = all_0_135_135
% 14.25/3.71 |
% 14.25/3.71 | Instantiating formula (326) with e11, e11, all_0_110_110, all_0_144_144 and discharging atoms op1(e11, e11) = all_0_110_110, op1(e11, e11) = all_0_144_144, yields:
% 14.25/3.71 | (1332) all_0_110_110 = all_0_144_144
% 14.25/3.71 |
% 14.25/3.71 +-Applying beta-rule and splitting (267), into two cases.
% 14.25/3.71 |-Branch one:
% 14.25/3.71 | (605) all_0_137_137 = e13
% 14.25/3.71 |
% 14.25/3.71 | Equations (605) can reduce 74 to:
% 14.25/3.71 | (616) ~ (all_0_135_135 = e13)
% 14.25/3.71 |
% 14.25/3.71 | Equations (605) can reduce 282 to:
% 14.25/3.71 | (645) ~ (all_0_136_136 = e13)
% 14.25/3.71 |
% 14.25/3.71 | Equations (605) can reduce 196 to:
% 14.25/3.71 | (608) ~ (all_0_145_145 = e13)
% 14.25/3.71 |
% 14.25/3.71 | Simplifying 608 yields:
% 14.25/3.71 | (609) ~ (all_0_145_145 = e13)
% 14.25/3.71 |
% 14.25/3.71 | From (605) and (315) follows:
% 14.25/3.71 | (610) op1(e13, e13) = all_0_119_119
% 14.25/3.71 |
% 14.25/3.71 +-Applying beta-rule and splitting (112), into two cases.
% 14.25/3.71 |-Branch one:
% 14.25/3.71 | (674) all_0_141_141 = e12
% 14.25/3.71 |
% 14.25/3.71 | Equations (674) can reduce 257 to:
% 14.25/3.71 | (675) ~ (all_0_139_139 = e12)
% 14.25/3.71 |
% 14.25/3.71 | From (674) and (231) follows:
% 14.25/3.71 | (1009) op1(e12, e12) = all_0_120_120
% 14.25/3.71 |
% 14.25/3.71 +-Applying beta-rule and splitting (214), into two cases.
% 14.25/3.71 |-Branch one:
% 14.25/3.71 | (680) all_0_141_141 = e10
% 14.25/3.71 |
% 14.25/3.71 | Combining equations (674,680) yields a new equation:
% 14.25/3.71 | (681) e12 = e10
% 14.25/3.71 |
% 14.25/3.71 | Simplifying 681 yields:
% 14.25/3.71 | (682) e12 = e10
% 14.25/3.71 |
% 14.25/3.71 | Equations (682) can reduce 164 to:
% 14.25/3.71 | (414) $false
% 14.25/3.71 |
% 14.25/3.71 |-The branch is then unsatisfiable
% 14.25/3.71 |-Branch two:
% 14.25/3.71 | (684) ~ (all_0_141_141 = e10)
% 14.25/3.71 | (685) all_0_145_145 = e10
% 14.25/3.71 |
% 14.25/3.71 | Equations (685) can reduce 255 to:
% 14.25/3.71 | (686) ~ (all_0_143_143 = e10)
% 14.25/3.71 |
% 14.25/3.71 | Equations (685) can reduce 609 to:
% 14.25/3.71 | (687) ~ (e13 = e10)
% 14.25/3.71 |
% 14.25/3.71 | Simplifying 687 yields:
% 14.25/3.71 | (197) ~ (e13 = e10)
% 14.25/3.71 |
% 14.25/3.71 | From (685) and (135) follows:
% 14.25/3.71 | (1019) op1(e10, e11) = all_0_121_121
% 14.25/3.71 |
% 14.25/3.71 | Instantiating formula (326) with e13, e13, all_0_119_119, e10 and discharging atoms op1(e13, e13) = all_0_119_119, op1(e13, e13) = e10, yields:
% 14.25/3.71 | (612) all_0_119_119 = e10
% 14.25/3.71 |
% 14.25/3.71 | Instantiating formula (326) with e12, e12, all_0_120_120, all_0_139_139 and discharging atoms op1(e12, e12) = all_0_120_120, op1(e12, e12) = all_0_139_139, yields:
% 14.25/3.71 | (1353) all_0_120_120 = all_0_139_139
% 14.25/3.71 |
% 14.25/3.71 | Instantiating formula (326) with e10, e11, all_0_121_121, all_0_147_147 and discharging atoms op1(e10, e11) = all_0_121_121, op1(e10, e11) = all_0_147_147, yields:
% 14.25/3.71 | (1354) all_0_121_121 = all_0_147_147
% 14.25/3.71 |
% 14.25/3.71 +-Applying beta-rule and splitting (253), into two cases.
% 14.25/3.71 |-Branch one:
% 14.25/3.71 | (1042) all_0_119_119 = all_0_137_137
% 14.25/3.71 |
% 14.25/3.71 | Combining equations (612,1042) yields a new equation:
% 14.25/3.71 | (1043) all_0_137_137 = e10
% 14.25/3.71 |
% 14.25/3.71 | Combining equations (605,1043) yields a new equation:
% 14.25/3.71 | (1044) e13 = e10
% 14.25/3.71 |
% 14.25/3.71 | Simplifying 1044 yields:
% 14.25/3.71 | (818) e13 = e10
% 14.25/3.71 |
% 14.25/3.71 | Equations (818) can reduce 197 to:
% 14.25/3.71 | (414) $false
% 14.25/3.71 |
% 14.25/3.71 |-The branch is then unsatisfiable
% 14.25/3.71 |-Branch two:
% 14.25/3.71 | (1047) ~ (all_0_119_119 = all_0_137_137)
% 14.25/3.71 | (1048) all_0_120_120 = all_0_141_141 | all_0_121_121 = all_0_145_145
% 14.25/3.71 |
% 14.25/3.71 | Equations (612,605) can reduce 1047 to:
% 14.25/3.71 | (687) ~ (e13 = e10)
% 14.25/3.71 |
% 14.25/3.71 | Simplifying 687 yields:
% 14.25/3.71 | (197) ~ (e13 = e10)
% 14.25/3.71 |
% 14.25/3.71 +-Applying beta-rule and splitting (1048), into two cases.
% 14.25/3.71 |-Branch one:
% 14.25/3.71 | (1051) all_0_120_120 = all_0_141_141
% 14.25/3.71 |
% 14.25/3.71 | Combining equations (1051,1353) yields a new equation:
% 14.25/3.71 | (1365) all_0_139_139 = all_0_141_141
% 14.25/3.71 |
% 14.25/3.71 | Combining equations (674,1365) yields a new equation:
% 14.25/3.71 | (827) all_0_139_139 = e12
% 14.25/3.71 |
% 14.25/3.71 | Equations (827) can reduce 675 to:
% 14.25/3.71 | (414) $false
% 14.25/3.71 |
% 14.25/3.71 |-The branch is then unsatisfiable
% 14.25/3.71 |-Branch two:
% 14.25/3.71 | (1056) ~ (all_0_120_120 = all_0_141_141)
% 14.25/3.71 | (1057) all_0_121_121 = all_0_145_145
% 14.25/3.71 |
% 14.25/3.71 | Combining equations (1354,1057) yields a new equation:
% 14.25/3.71 | (1370) all_0_145_145 = all_0_147_147
% 14.25/3.71 |
% 14.25/3.71 | Combining equations (1370,685) yields a new equation:
% 14.25/3.71 | (1371) all_0_147_147 = e10
% 14.25/3.71 |
% 14.25/3.71 | Simplifying 1371 yields:
% 14.25/3.71 | (626) all_0_147_147 = e10
% 14.25/3.71 |
% 14.25/3.71 | Equations (626) can reduce 185 to:
% 14.25/3.71 | (345) ~ (all_0_136_136 = e10)
% 14.25/3.71 |
% 14.25/3.71 | Equations (626) can reduce 378 to:
% 14.25/3.71 | (629) ~ (all_0_144_144 = e10)
% 14.25/3.71 |
% 14.25/3.71 | Equations (626) can reduce 341 to:
% 14.25/3.71 | (1375) ~ (all_0_146_146 = e10)
% 14.25/3.71 |
% 14.25/3.71 | Equations (626) can reduce 121 to:
% 14.25/3.71 | (892) ~ (e11 = e10)
% 14.25/3.71 |
% 14.25/3.71 | Simplifying 892 yields:
% 14.25/3.71 | (306) ~ (e11 = e10)
% 14.25/3.71 |
% 14.25/3.71 | From (626) and (105) follows:
% 14.25/3.71 | (632) op1(e10, e10) = all_0_118_118
% 14.25/3.71 |
% 14.25/3.71 +-Applying beta-rule and splitting (18), into two cases.
% 14.25/3.71 |-Branch one:
% 14.25/3.71 | (615) all_0_146_146 = e13
% 14.25/3.71 |
% 14.25/3.71 | Equations (615) can reduce 160 to:
% 14.25/3.71 | (617) ~ (all_0_139_139 = e13)
% 14.25/3.71 |
% 14.25/3.71 | Equations (615) can reduce 51 to:
% 14.25/3.71 | (363) ~ (e13 = e11)
% 14.25/3.71 |
% 14.25/3.71 | Equations (615) can reduce 1375 to:
% 14.25/3.71 | (197) ~ (e13 = e10)
% 14.25/3.71 |
% 14.25/3.71 +-Applying beta-rule and splitting (269), into two cases.
% 14.25/3.71 |-Branch one:
% 14.25/3.71 | (852) all_0_136_136 = e13
% 14.25/3.71 |
% 14.25/3.71 | Equations (852) can reduce 645 to:
% 14.25/3.71 | (414) $false
% 14.25/3.71 |
% 14.25/3.71 |-The branch is then unsatisfiable
% 14.25/3.71 |-Branch two:
% 14.25/3.71 | (645) ~ (all_0_136_136 = e13)
% 14.25/3.71 | (1386) all_0_140_140 = e13 | all_0_144_144 = e13 | all_0_147_147 = e13
% 14.25/3.71 |
% 14.25/3.71 +-Applying beta-rule and splitting (24), into two cases.
% 14.25/3.71 |-Branch one:
% 14.25/3.71 | (705) all_0_139_139 = e10
% 14.25/3.71 |
% 14.25/3.71 | Equations (705) can reduce 156 to:
% 14.25/3.71 | (301) ~ (all_0_135_135 = e10)
% 14.25/3.71 |
% 14.25/3.71 | Equations (705) can reduce 617 to:
% 14.25/3.71 | (687) ~ (e13 = e10)
% 14.25/3.71 |
% 14.25/3.71 | Simplifying 687 yields:
% 14.25/3.71 | (197) ~ (e13 = e10)
% 14.25/3.71 |
% 14.25/3.71 +-Applying beta-rule and splitting (163), into two cases.
% 14.25/3.71 |-Branch one:
% 14.25/3.71 | (587) all_0_138_138 = e11
% 14.25/3.71 |
% 14.25/3.71 | Combining equations (584,587) yields a new equation:
% 14.25/3.71 | (635) e13 = e11
% 14.25/3.71 |
% 14.25/3.71 | Simplifying 635 yields:
% 14.25/3.71 | (636) e13 = e11
% 14.25/3.71 |
% 14.25/3.71 | Equations (636) can reduce 363 to:
% 14.25/3.71 | (414) $false
% 14.25/3.71 |
% 14.25/3.71 |-The branch is then unsatisfiable
% 14.25/3.71 |-Branch two:
% 14.25/3.71 | (1318) ~ (all_0_138_138 = e11)
% 14.25/3.71 | (1396) all_0_139_139 = e11 | all_0_140_140 = e11
% 14.25/3.71 |
% 14.25/3.71 +-Applying beta-rule and splitting (1386), into two cases.
% 14.25/3.71 |-Branch one:
% 14.25/3.71 | (644) all_0_140_140 = e13
% 14.25/3.71 |
% 14.25/3.71 | Equations (644) can reduce 969 to:
% 14.25/3.71 | (414) $false
% 14.25/3.71 |
% 14.25/3.71 |-The branch is then unsatisfiable
% 14.25/3.71 |-Branch two:
% 14.25/3.71 | (969) ~ (all_0_140_140 = e13)
% 14.25/3.71 | (1400) all_0_144_144 = e13 | all_0_147_147 = e13
% 14.25/3.71 |
% 14.25/3.71 +-Applying beta-rule and splitting (1396), into two cases.
% 14.25/3.71 |-Branch one:
% 14.25/3.71 | (871) all_0_139_139 = e11
% 14.25/3.71 |
% 14.25/3.71 | Combining equations (705,871) yields a new equation:
% 14.25/3.71 | (944) e11 = e10
% 14.25/3.71 |
% 14.25/3.71 | Equations (944) can reduce 306 to:
% 14.25/3.71 | (414) $false
% 14.25/3.71 |
% 14.25/3.71 |-The branch is then unsatisfiable
% 14.25/3.71 |-Branch two:
% 14.25/3.71 | (589) ~ (all_0_139_139 = e11)
% 14.25/3.71 | (793) all_0_140_140 = e11
% 14.25/3.71 |
% 14.25/3.71 | Equations (793) can reduce 2 to:
% 14.25/3.71 | (664) ~ (all_0_136_136 = e11)
% 14.25/3.71 |
% 14.25/3.71 | From (793) and (211) follows:
% 14.25/3.71 | (1407) op1(e11, e12) = all_0_116_116
% 14.25/3.72 |
% 14.25/3.72 +-Applying beta-rule and splitting (29), into two cases.
% 14.25/3.72 |-Branch one:
% 14.25/3.72 | (662) all_0_135_135 = e11
% 14.25/3.72 |
% 14.25/3.72 | Equations (662) can reduce 41 to:
% 14.25/3.72 | (663) ~ (all_0_136_136 = e11)
% 14.25/3.72 |
% 14.25/3.72 | Simplifying 663 yields:
% 14.25/3.72 | (664) ~ (all_0_136_136 = e11)
% 14.25/3.72 |
% 14.25/3.72 | Equations (662) can reduce 240 to:
% 14.25/3.72 | (665) ~ (all_0_143_143 = e11)
% 14.25/3.72 |
% 14.25/3.72 | Simplifying 665 yields:
% 14.25/3.72 | (666) ~ (all_0_143_143 = e11)
% 14.25/3.72 |
% 14.25/3.72 | Equations (662) can reduce 301 to:
% 14.25/3.72 | (306) ~ (e11 = e10)
% 14.25/3.72 |
% 14.25/3.72 +-Applying beta-rule and splitting (272), into two cases.
% 14.25/3.72 |-Branch one:
% 14.25/3.72 | (852) all_0_136_136 = e13
% 14.25/3.72 |
% 14.25/3.72 | Equations (852) can reduce 645 to:
% 14.25/3.72 | (414) $false
% 14.25/3.72 |
% 14.25/3.72 |-The branch is then unsatisfiable
% 14.25/3.72 |-Branch two:
% 14.25/3.72 | (645) ~ (all_0_136_136 = e13)
% 14.25/3.72 | (1007) all_0_136_136 = e12 | all_0_136_136 = e11
% 14.25/3.72 |
% 14.25/3.72 +-Applying beta-rule and splitting (1400), into two cases.
% 14.25/3.72 |-Branch one:
% 14.25/3.72 | (867) all_0_144_144 = e13
% 14.25/3.72 |
% 14.25/3.72 | Equations (867) can reduce 186 to:
% 14.25/3.72 | (645) ~ (all_0_136_136 = e13)
% 14.25/3.72 |
% 14.25/3.72 | Equations (867) can reduce 82 to:
% 14.25/3.72 | (578) ~ (all_0_143_143 = e13)
% 14.25/3.72 |
% 14.25/3.72 | From (867) and (212) follows:
% 14.25/3.72 | (1421) op1(e13, e11) = all_0_117_117
% 14.25/3.72 |
% 14.25/3.72 +-Applying beta-rule and splitting (389), into two cases.
% 14.25/3.72 |-Branch one:
% 14.25/3.72 | (702) all_0_136_136 = e12
% 14.25/3.72 |
% 14.25/3.72 | Equations (702) can reduce 645 to:
% 14.25/3.72 | (676) ~ (e13 = e12)
% 14.25/3.72 |
% 14.25/3.72 | Simplifying 676 yields:
% 14.25/3.72 | (302) ~ (e13 = e12)
% 14.25/3.72 |
% 14.25/3.72 | Equations (702) can reduce 345 to:
% 14.25/3.72 | (164) ~ (e12 = e10)
% 14.25/3.72 |
% 14.25/3.72 | From (702) and (221) follows:
% 14.25/3.72 | (1426) op1(e12, e13) = all_0_115_115
% 14.25/3.72 |
% 14.25/3.72 | From (702) and (307) follows:
% 14.25/3.72 | (1427) op1(e13, e11) = e12
% 14.25/3.72 |
% 14.25/3.72 +-Applying beta-rule and splitting (13), into two cases.
% 14.25/3.72 |-Branch one:
% 14.25/3.72 | (713) all_0_143_143 = e12
% 14.25/3.72 |
% 14.25/3.72 | Equations (713) can reduce 578 to:
% 14.25/3.72 | (676) ~ (e13 = e12)
% 14.25/3.72 |
% 14.25/3.72 | Simplifying 676 yields:
% 14.25/3.72 | (302) ~ (e13 = e12)
% 14.25/3.72 |
% 14.25/3.72 | Equations (713) can reduce 666 to:
% 14.25/3.72 | (328) ~ (e12 = e11)
% 14.25/3.72 |
% 14.25/3.72 | From (713) and (137) follows:
% 14.25/3.72 | (1432) op1(e11, e12) = e12
% 14.25/3.72 |
% 14.25/3.72 | Instantiating formula (326) with e13, e11, e12, all_0_117_117 and discharging atoms op1(e13, e11) = all_0_117_117, op1(e13, e11) = e12, yields:
% 14.25/3.72 | (1433) all_0_117_117 = e12
% 14.25/3.72 |
% 14.25/3.72 | Instantiating formula (326) with e12, e13, all_0_115_115, e13 and discharging atoms op1(e12, e13) = all_0_115_115, op1(e12, e13) = e13, yields:
% 14.25/3.72 | (920) all_0_115_115 = e13
% 14.25/3.72 |
% 14.25/3.72 | Instantiating formula (326) with e11, e12, e12, all_0_116_116 and discharging atoms op1(e11, e12) = all_0_116_116, op1(e11, e12) = e12, yields:
% 14.25/3.72 | (899) all_0_116_116 = e12
% 14.25/3.72 |
% 14.25/3.72 | Instantiating formula (326) with e10, e10, all_0_118_118, e11 and discharging atoms op1(e10, e10) = all_0_118_118, op1(e10, e10) = e11, yields:
% 14.25/3.72 | (655) all_0_118_118 = e11
% 14.25/3.72 |
% 14.25/3.72 +-Applying beta-rule and splitting (316), into two cases.
% 14.25/3.72 |-Branch one:
% 14.25/3.72 | (921) all_0_115_115 = all_0_136_136
% 14.25/3.72 |
% 14.25/3.72 | Combining equations (920,921) yields a new equation:
% 14.25/3.72 | (852) all_0_136_136 = e13
% 14.25/3.72 |
% 14.25/3.72 | Combining equations (702,852) yields a new equation:
% 14.25/3.72 | (834) e13 = e12
% 14.25/3.72 |
% 14.25/3.72 | Equations (834) can reduce 302 to:
% 14.25/3.72 | (414) $false
% 14.25/3.72 |
% 14.25/3.72 |-The branch is then unsatisfiable
% 14.25/3.72 |-Branch two:
% 14.25/3.72 | (926) ~ (all_0_115_115 = all_0_136_136)
% 14.25/3.72 | (927) all_0_116_116 = all_0_140_140 | all_0_117_117 = all_0_144_144 | all_0_118_118 = all_0_147_147
% 14.25/3.72 |
% 14.25/3.72 | Equations (920,702) can reduce 926 to:
% 14.25/3.72 | (302) ~ (e13 = e12)
% 14.25/3.72 |
% 14.25/3.72 +-Applying beta-rule and splitting (927), into two cases.
% 14.25/3.72 |-Branch one:
% 14.25/3.72 | (928) all_0_116_116 = all_0_140_140
% 14.25/3.72 |
% 14.25/3.72 | Combining equations (928,899) yields a new equation:
% 14.25/3.72 | (1445) all_0_140_140 = e12
% 14.25/3.72 |
% 14.25/3.72 | Simplifying 1445 yields:
% 14.25/3.72 | (929) all_0_140_140 = e12
% 14.25/3.72 |
% 14.25/3.72 | Combining equations (929,793) yields a new equation:
% 14.25/3.72 | (691) e12 = e11
% 14.25/3.72 |
% 14.25/3.72 | Simplifying 691 yields:
% 14.25/3.72 | (692) e12 = e11
% 14.25/3.72 |
% 14.25/3.72 | Equations (692) can reduce 328 to:
% 14.25/3.72 | (414) $false
% 14.25/3.72 |
% 14.25/3.72 |-The branch is then unsatisfiable
% 14.25/3.72 |-Branch two:
% 14.25/3.72 | (932) ~ (all_0_116_116 = all_0_140_140)
% 14.25/3.72 | (933) all_0_117_117 = all_0_144_144 | all_0_118_118 = all_0_147_147
% 14.25/3.72 |
% 14.25/3.72 +-Applying beta-rule and splitting (933), into two cases.
% 14.25/3.72 |-Branch one:
% 14.25/3.72 | (936) all_0_117_117 = all_0_144_144
% 14.25/3.72 |
% 14.25/3.72 | Combining equations (936,1433) yields a new equation:
% 14.25/3.72 | (1453) all_0_144_144 = e12
% 14.25/3.72 |
% 14.25/3.72 | Simplifying 1453 yields:
% 14.25/3.72 | (882) all_0_144_144 = e12
% 14.25/3.72 |
% 14.25/3.72 | Combining equations (882,867) yields a new equation:
% 14.25/3.72 | (834) e13 = e12
% 14.25/3.72 |
% 14.25/3.72 | Equations (834) can reduce 302 to:
% 14.25/3.72 | (414) $false
% 14.25/3.72 |
% 14.25/3.72 |-The branch is then unsatisfiable
% 14.25/3.72 |-Branch two:
% 14.25/3.72 | (940) ~ (all_0_117_117 = all_0_144_144)
% 14.25/3.72 | (941) all_0_118_118 = all_0_147_147
% 14.25/3.72 |
% 14.25/3.72 | Combining equations (941,655) yields a new equation:
% 14.25/3.72 | (1459) all_0_147_147 = e11
% 14.25/3.72 |
% 14.25/3.72 | Simplifying 1459 yields:
% 14.25/3.72 | (942) all_0_147_147 = e11
% 14.25/3.72 |
% 14.25/3.72 | Combining equations (626,942) yields a new equation:
% 14.25/3.72 | (944) e11 = e10
% 14.25/3.72 |
% 14.25/3.72 | Equations (944) can reduce 306 to:
% 14.25/3.72 | (414) $false
% 14.25/3.72 |
% 14.25/3.72 |-The branch is then unsatisfiable
% 14.25/3.72 |-Branch two:
% 14.25/3.72 | (787) ~ (all_0_143_143 = e12)
% 14.25/3.72 | (788) all_0_144_144 = e12 | all_0_145_145 = e12
% 14.25/3.72 |
% 14.25/3.72 +-Applying beta-rule and splitting (788), into two cases.
% 14.25/3.72 |-Branch one:
% 14.25/3.72 | (882) all_0_144_144 = e12
% 14.25/3.72 |
% 14.25/3.72 | Combining equations (867,882) yields a new equation:
% 14.25/3.72 | (1100) e13 = e12
% 14.25/3.72 |
% 14.25/3.72 | Simplifying 1100 yields:
% 14.25/3.72 | (834) e13 = e12
% 14.25/3.72 |
% 14.25/3.72 | Equations (834) can reduce 302 to:
% 14.25/3.72 | (414) $false
% 14.25/3.72 |
% 14.25/3.72 |-The branch is then unsatisfiable
% 14.25/3.72 |-Branch two:
% 14.25/3.72 | (962) ~ (all_0_144_144 = e12)
% 14.25/3.72 | (947) all_0_145_145 = e12
% 14.25/3.72 |
% 14.25/3.72 | Combining equations (947,685) yields a new equation:
% 14.25/3.72 | (681) e12 = e10
% 14.25/3.72 |
% 14.25/3.72 | Simplifying 681 yields:
% 14.25/3.72 | (682) e12 = e10
% 14.25/3.72 |
% 14.25/3.72 | Equations (682) can reduce 164 to:
% 14.25/3.72 | (414) $false
% 14.25/3.72 |
% 14.25/3.72 |-The branch is then unsatisfiable
% 14.25/3.72 |-Branch two:
% 14.25/3.72 | (832) ~ (all_0_136_136 = e12)
% 14.25/3.72 | (1475) all_0_140_140 = e12 | all_0_144_144 = e12
% 14.25/3.72 |
% 14.25/3.72 +-Applying beta-rule and splitting (1007), into two cases.
% 14.25/3.72 |-Branch one:
% 14.25/3.72 | (702) all_0_136_136 = e12
% 14.25/3.72 |
% 14.25/3.72 | Equations (702) can reduce 832 to:
% 14.25/3.72 | (414) $false
% 14.25/3.72 |
% 14.25/3.72 |-The branch is then unsatisfiable
% 14.25/3.72 |-Branch two:
% 14.25/3.72 | (832) ~ (all_0_136_136 = e12)
% 14.25/3.72 | (670) all_0_136_136 = e11
% 14.25/3.72 |
% 14.25/3.72 | Equations (670) can reduce 664 to:
% 14.25/3.72 | (414) $false
% 14.25/3.72 |
% 14.25/3.72 |-The branch is then unsatisfiable
% 14.25/3.72 |-Branch two:
% 14.25/3.72 | (580) ~ (all_0_144_144 = e13)
% 14.25/3.72 | (623) all_0_147_147 = e13
% 14.25/3.72 |
% 14.25/3.72 | Combining equations (623,626) yields a new equation:
% 14.25/3.72 | (1044) e13 = e10
% 14.25/3.72 |
% 14.25/3.72 | Simplifying 1044 yields:
% 14.25/3.72 | (818) e13 = e10
% 14.25/3.72 |
% 14.25/3.72 | Equations (818) can reduce 197 to:
% 14.25/3.72 | (414) $false
% 14.25/3.72 |
% 14.25/3.72 |-The branch is then unsatisfiable
% 14.25/3.72 |-Branch two:
% 14.25/3.72 | (854) ~ (all_0_135_135 = e11)
% 14.25/3.72 | (670) all_0_136_136 = e11
% 14.25/3.72 |
% 14.25/3.72 | Equations (670) can reduce 664 to:
% 14.25/3.72 | (414) $false
% 14.25/3.72 |
% 14.25/3.72 |-The branch is then unsatisfiable
% 14.25/3.72 |-Branch two:
% 14.25/3.72 | (804) ~ (all_0_139_139 = e10)
% 14.25/3.72 | (805) all_0_143_143 = e10 | all_0_146_146 = e10
% 14.25/3.72 |
% 14.25/3.72 +-Applying beta-rule and splitting (1386), into two cases.
% 14.25/3.72 |-Branch one:
% 14.25/3.72 | (644) all_0_140_140 = e13
% 14.25/3.72 |
% 14.25/3.72 | Equations (644) can reduce 969 to:
% 14.25/3.72 | (414) $false
% 14.25/3.72 |
% 14.25/3.72 |-The branch is then unsatisfiable
% 14.25/3.72 |-Branch two:
% 14.25/3.72 | (969) ~ (all_0_140_140 = e13)
% 14.25/3.72 | (1400) all_0_144_144 = e13 | all_0_147_147 = e13
% 14.25/3.72 |
% 14.25/3.72 +-Applying beta-rule and splitting (1400), into two cases.
% 14.25/3.72 |-Branch one:
% 14.25/3.72 | (867) all_0_144_144 = e13
% 14.25/3.72 |
% 14.25/3.72 | Equations (867) can reduce 629 to:
% 14.25/3.72 | (197) ~ (e13 = e10)
% 14.25/3.72 |
% 14.25/3.72 +-Applying beta-rule and splitting (805), into two cases.
% 14.25/3.72 |-Branch one:
% 14.25/3.72 | (802) all_0_143_143 = e10
% 14.25/3.72 |
% 14.25/3.72 | Equations (802) can reduce 686 to:
% 14.25/3.72 | (414) $false
% 14.25/3.72 |
% 14.25/3.72 |-The branch is then unsatisfiable
% 14.25/3.72 |-Branch two:
% 14.25/3.72 | (686) ~ (all_0_143_143 = e10)
% 14.25/3.72 | (959) all_0_146_146 = e10
% 14.25/3.72 |
% 14.25/3.72 | Combining equations (615,959) yields a new equation:
% 14.25/3.72 | (1044) e13 = e10
% 14.25/3.72 |
% 14.25/3.72 | Simplifying 1044 yields:
% 14.25/3.72 | (818) e13 = e10
% 14.25/3.72 |
% 14.25/3.72 | Equations (818) can reduce 197 to:
% 14.25/3.72 | (414) $false
% 14.25/3.72 |
% 14.25/3.72 |-The branch is then unsatisfiable
% 14.25/3.72 |-Branch two:
% 14.25/3.72 | (580) ~ (all_0_144_144 = e13)
% 14.25/3.72 | (623) all_0_147_147 = e13
% 14.25/3.72 |
% 14.25/3.72 | Combining equations (626,623) yields a new equation:
% 14.25/3.72 | (818) e13 = e10
% 14.25/3.72 |
% 14.25/3.72 | Equations (818) can reduce 197 to:
% 14.25/3.72 | (414) $false
% 14.25/3.72 |
% 14.25/3.72 |-The branch is then unsatisfiable
% 14.25/3.72 |-Branch two:
% 14.25/3.73 | (972) ~ (all_0_146_146 = e13)
% 14.25/3.73 | (623) all_0_147_147 = e13
% 14.25/3.73 |
% 14.25/3.73 | Combining equations (626,623) yields a new equation:
% 14.25/3.73 | (818) e13 = e10
% 14.25/3.73 |
% 14.25/3.73 | Equations (818) can reduce 197 to:
% 14.25/3.73 | (414) $false
% 14.25/3.73 |
% 14.25/3.73 |-The branch is then unsatisfiable
% 14.25/3.73 |-Branch two:
% 14.25/3.73 | (836) ~ (all_0_141_141 = e12)
% 14.25/3.73 | (837) all_0_109_109 = all_0_138_138 | all_0_110_110 = all_0_142_142
% 14.25/3.73 |
% 14.25/3.73 +-Applying beta-rule and splitting (837), into two cases.
% 14.25/3.73 |-Branch one:
% 14.25/3.73 | (844) all_0_109_109 = all_0_138_138
% 14.25/3.73 |
% 14.25/3.73 | Combining equations (844,1331) yields a new equation:
% 14.25/3.73 | (1515) all_0_135_135 = all_0_138_138
% 14.25/3.73 |
% 14.25/3.73 | Combining equations (584,1515) yields a new equation:
% 14.25/3.73 | (859) all_0_135_135 = e13
% 14.25/3.73 |
% 14.25/3.73 | Equations (859) can reduce 616 to:
% 14.25/3.73 | (414) $false
% 14.25/3.73 |
% 14.25/3.73 |-The branch is then unsatisfiable
% 14.25/3.73 |-Branch two:
% 14.25/3.73 | (848) ~ (all_0_109_109 = all_0_138_138)
% 14.25/3.73 | (849) all_0_110_110 = all_0_142_142
% 14.25/3.73 |
% 14.25/3.73 | Combining equations (849,1332) yields a new equation:
% 14.25/3.73 | (1520) all_0_142_142 = all_0_144_144
% 14.25/3.73 |
% 14.25/3.73 | Simplifying 1520 yields:
% 14.25/3.73 | (1521) all_0_142_142 = all_0_144_144
% 14.25/3.73 |
% 14.25/3.73 | Combining equations (696,1521) yields a new equation:
% 14.25/3.73 | (721) all_0_144_144 = e11
% 14.25/3.73 |
% 14.25/3.73 | Equations (721) can reduce 877 to:
% 14.25/3.73 | (414) $false
% 14.25/3.73 |
% 14.25/3.73 |-The branch is then unsatisfiable
% 14.25/3.73 |-Branch two:
% 14.25/3.73 | (1212) ~ (all_0_137_137 = e13)
% 14.25/3.73 | (833) all_0_137_137 = e12
% 14.25/3.73 |
% 14.25/3.73 | Equations (833) can reduce 273 to:
% 14.25/3.73 | (1214) ~ (all_0_141_141 = e12)
% 14.25/3.73 |
% 14.25/3.73 | Simplifying 1214 yields:
% 14.25/3.73 | (836) ~ (all_0_141_141 = e12)
% 14.25/3.73 |
% 14.25/3.73 +-Applying beta-rule and splitting (295), into two cases.
% 14.25/3.73 |-Branch one:
% 14.25/3.73 | (894) all_0_141_141 = e13
% 14.25/3.73 |
% 14.25/3.73 | Equations (894) can reduce 607 to:
% 14.25/3.73 | (414) $false
% 14.25/3.73 |
% 14.25/3.73 |-The branch is then unsatisfiable
% 14.25/3.73 |-Branch two:
% 14.25/3.73 | (607) ~ (all_0_141_141 = e13)
% 14.25/3.73 | (897) all_0_141_141 = e12 | all_0_141_141 = e10
% 14.25/3.73 |
% 14.25/3.73 +-Applying beta-rule and splitting (897), into two cases.
% 14.25/3.73 |-Branch one:
% 14.25/3.73 | (674) all_0_141_141 = e12
% 14.25/3.73 |
% 14.25/3.73 | Equations (674) can reduce 836 to:
% 14.25/3.73 | (414) $false
% 14.25/3.73 |
% 14.25/3.73 |-The branch is then unsatisfiable
% 14.25/3.73 |-Branch two:
% 14.25/3.73 | (836) ~ (all_0_141_141 = e12)
% 14.25/3.73 | (680) all_0_141_141 = e10
% 14.25/3.73 |
% 14.25/3.73 | Equations (680) can reduce 836 to:
% 14.25/3.73 | (630) ~ (e12 = e10)
% 14.25/3.73 |
% 14.25/3.73 | Simplifying 630 yields:
% 14.25/3.73 | (164) ~ (e12 = e10)
% 14.25/3.73 |
% 14.25/3.73 +-Applying beta-rule and splitting (112), into two cases.
% 14.25/3.73 |-Branch one:
% 14.25/3.73 | (674) all_0_141_141 = e12
% 14.25/3.73 |
% 14.25/3.73 | Combining equations (674,680) yields a new equation:
% 14.25/3.73 | (681) e12 = e10
% 14.25/3.73 |
% 14.25/3.73 | Simplifying 681 yields:
% 14.25/3.73 | (682) e12 = e10
% 14.25/3.73 |
% 14.25/3.73 | Equations (682) can reduce 164 to:
% 14.25/3.73 | (414) $false
% 14.25/3.73 |
% 14.25/3.73 |-The branch is then unsatisfiable
% 14.25/3.73 |-Branch two:
% 14.25/3.73 | (836) ~ (all_0_141_141 = e12)
% 14.25/3.73 | (837) all_0_109_109 = all_0_138_138 | all_0_110_110 = all_0_142_142
% 14.25/3.73 |
% 14.25/3.73 +-Applying beta-rule and splitting (837), into two cases.
% 14.25/3.73 |-Branch one:
% 14.25/3.73 | (844) all_0_109_109 = all_0_138_138
% 14.25/3.73 |
% 14.25/3.73 | Combining equations (844,1331) yields a new equation:
% 14.25/3.73 | (1515) all_0_135_135 = all_0_138_138
% 14.25/3.73 |
% 14.25/3.73 | Combining equations (584,1515) yields a new equation:
% 14.25/3.73 | (859) all_0_135_135 = e13
% 14.25/3.73 |
% 14.25/3.73 | Equations (859) can reduce 289 to:
% 14.25/3.73 | (1267) ~ (all_0_146_146 = e13)
% 14.25/3.73 |
% 14.25/3.73 | Simplifying 1267 yields:
% 14.25/3.73 | (972) ~ (all_0_146_146 = e13)
% 14.25/3.73 |
% 14.25/3.73 +-Applying beta-rule and splitting (86), into two cases.
% 14.25/3.73 |-Branch one:
% 14.25/3.73 | (615) all_0_146_146 = e13
% 14.25/3.73 |
% 14.25/3.73 | Equations (615) can reduce 972 to:
% 14.25/3.73 | (414) $false
% 14.25/3.73 |
% 14.25/3.73 |-The branch is then unsatisfiable
% 14.25/3.73 |-Branch two:
% 14.25/3.73 | (972) ~ (all_0_146_146 = e13)
% 14.25/3.73 | (959) all_0_146_146 = e10
% 14.25/3.73 |
% 14.25/3.73 | Equations (959) can reduce 160 to:
% 14.25/3.73 | (804) ~ (all_0_139_139 = e10)
% 14.25/3.73 |
% 14.25/3.73 | Equations (959) can reduce 341 to:
% 14.25/3.73 | (975) ~ (all_0_147_147 = e10)
% 14.25/3.73 |
% 14.25/3.73 | Simplifying 975 yields:
% 14.25/3.73 | (976) ~ (all_0_147_147 = e10)
% 14.25/3.73 |
% 14.25/3.73 +-Applying beta-rule and splitting (325), into two cases.
% 14.25/3.73 |-Branch one:
% 14.25/3.73 | (623) all_0_147_147 = e13
% 14.25/3.73 |
% 14.25/3.73 | Equations (623) can reduce 185 to:
% 14.25/3.73 | (645) ~ (all_0_136_136 = e13)
% 14.25/3.73 |
% 14.25/3.73 | Equations (623) can reduce 378 to:
% 14.25/3.73 | (580) ~ (all_0_144_144 = e13)
% 14.25/3.73 |
% 14.25/3.73 | Equations (623) can reduce 381 to:
% 14.25/3.73 | (302) ~ (e13 = e12)
% 14.25/3.73 |
% 14.25/3.73 | Equations (623) can reduce 121 to:
% 14.25/3.73 | (363) ~ (e13 = e11)
% 14.25/3.73 |
% 14.25/3.73 | Equations (623) can reduce 976 to:
% 14.25/3.73 | (197) ~ (e13 = e10)
% 14.25/3.73 |
% 14.25/3.73 +-Applying beta-rule and splitting (29), into two cases.
% 14.25/3.73 |-Branch one:
% 14.25/3.73 | (662) all_0_135_135 = e11
% 14.25/3.73 |
% 14.25/3.73 | Combining equations (859,662) yields a new equation:
% 14.25/3.73 | (635) e13 = e11
% 14.25/3.73 |
% 14.25/3.73 | Simplifying 635 yields:
% 14.25/3.73 | (636) e13 = e11
% 14.25/3.73 |
% 14.25/3.73 | Equations (636) can reduce 363 to:
% 14.25/3.73 | (414) $false
% 14.25/3.73 |
% 14.25/3.73 |-The branch is then unsatisfiable
% 14.25/3.73 |-Branch two:
% 14.25/3.73 | (854) ~ (all_0_135_135 = e11)
% 14.25/3.73 | (670) all_0_136_136 = e11
% 14.25/3.73 |
% 14.25/3.73 | Equations (670) can reduce 645 to:
% 14.25/3.73 | (594) ~ (e13 = e11)
% 14.25/3.73 |
% 14.25/3.73 | Simplifying 594 yields:
% 14.25/3.73 | (363) ~ (e13 = e11)
% 14.25/3.73 |
% 14.25/3.73 +-Applying beta-rule and splitting (223), into two cases.
% 14.25/3.73 |-Branch one:
% 14.25/3.73 | (662) all_0_135_135 = e11
% 14.25/3.73 |
% 14.25/3.73 | Combining equations (662,859) yields a new equation:
% 14.25/3.73 | (636) e13 = e11
% 14.25/3.73 |
% 14.25/3.73 | Equations (636) can reduce 363 to:
% 14.25/3.73 | (414) $false
% 14.25/3.73 |
% 14.25/3.73 |-The branch is then unsatisfiable
% 14.25/3.73 |-Branch two:
% 14.25/3.73 | (854) ~ (all_0_135_135 = e11)
% 14.25/3.73 | (866) all_0_139_139 = e11 | all_0_143_143 = e11
% 14.25/3.73 |
% 14.25/3.73 +-Applying beta-rule and splitting (364), into two cases.
% 14.25/3.73 |-Branch one:
% 14.25/3.73 | (605) all_0_137_137 = e13
% 14.25/3.73 |
% 14.25/3.73 | Combining equations (605,833) yields a new equation:
% 14.25/3.73 | (1100) e13 = e12
% 14.25/3.73 |
% 14.25/3.73 | Simplifying 1100 yields:
% 14.25/3.73 | (834) e13 = e12
% 14.25/3.73 |
% 14.25/3.73 | Equations (834) can reduce 302 to:
% 14.25/3.73 | (414) $false
% 14.25/3.73 |
% 14.25/3.73 |-The branch is then unsatisfiable
% 14.25/3.73 |-Branch two:
% 14.25/3.73 | (1212) ~ (all_0_137_137 = e13)
% 14.25/3.73 | (1222) (all_0_139_139 = e11 & all_0_140_140 = e12 & ~ (all_0_142_142 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_144_144 = e11) & ~ (all_0_145_145 = e10)) | (all_0_139_139 = e10 & all_0_141_141 = e12) | (all_0_142_142 = e11 & all_0_144_144 = e13 & ~ (all_0_135_135 = e12) & ~ (all_0_136_136 = e11)) | (all_0_143_143 = e11 & all_0_144_144 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_139_139 = e12) & ~ (all_0_140_140 = e11) & ~ (all_0_141_141 = e10)) | (all_0_147_147 = e10 & ~ (all_0_142_142 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_144_144 = e11) & ~ (all_0_145_145 = e10))
% 14.25/3.73 |
% 14.25/3.73 | Equations (833) can reduce 1212 to:
% 14.25/3.73 | (676) ~ (e13 = e12)
% 14.25/3.73 |
% 14.25/3.73 | Simplifying 676 yields:
% 14.25/3.73 | (302) ~ (e13 = e12)
% 14.25/3.73 |
% 14.25/3.73 +-Applying beta-rule and splitting (866), into two cases.
% 14.25/3.73 |-Branch one:
% 14.25/3.73 | (871) all_0_139_139 = e11
% 14.25/3.73 |
% 14.25/3.73 | Equations (871) can reduce 319 to:
% 14.25/3.73 | (590) ~ (all_0_140_140 = e11)
% 14.25/3.73 |
% 14.25/3.73 | Simplifying 590 yields:
% 14.25/3.73 | (591) ~ (all_0_140_140 = e11)
% 14.25/3.73 |
% 14.25/3.73 | Equations (871) can reduce 332 to:
% 14.25/3.73 | (665) ~ (all_0_143_143 = e11)
% 14.25/3.73 |
% 14.25/3.73 | Simplifying 665 yields:
% 14.25/3.73 | (666) ~ (all_0_143_143 = e11)
% 14.25/3.73 |
% 14.25/3.73 | Equations (871) can reduce 804 to:
% 14.25/3.73 | (306) ~ (e11 = e10)
% 14.25/3.73 |
% 14.25/3.73 +-Applying beta-rule and splitting (250), into two cases.
% 14.25/3.73 |-Branch one:
% 14.25/3.73 | (690) all_0_135_135 = e12
% 14.25/3.73 |
% 14.25/3.73 | Combining equations (690,859) yields a new equation:
% 14.25/3.73 | (834) e13 = e12
% 14.25/3.73 |
% 14.25/3.73 | Equations (834) can reduce 302 to:
% 14.25/3.73 | (414) $false
% 14.25/3.73 |
% 14.25/3.73 |-The branch is then unsatisfiable
% 14.25/3.73 |-Branch two:
% 14.25/3.73 | (694) ~ (all_0_135_135 = e12)
% 14.25/3.73 | (814) all_0_139_139 = e12 | all_0_143_143 = e12
% 14.25/3.73 |
% 14.25/3.73 +-Applying beta-rule and splitting (1222), into two cases.
% 14.25/3.73 |-Branch one:
% 14.25/3.73 | (1223) (all_0_139_139 = e11 & all_0_140_140 = e12 & ~ (all_0_142_142 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_144_144 = e11) & ~ (all_0_145_145 = e10)) | (all_0_139_139 = e10 & all_0_141_141 = e12) | (all_0_142_142 = e11 & all_0_144_144 = e13 & ~ (all_0_135_135 = e12) & ~ (all_0_136_136 = e11)) | (all_0_143_143 = e11 & all_0_144_144 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_139_139 = e12) & ~ (all_0_140_140 = e11) & ~ (all_0_141_141 = e10))
% 14.25/3.73 |
% 14.25/3.73 +-Applying beta-rule and splitting (1223), into two cases.
% 14.25/3.73 |-Branch one:
% 14.25/3.73 | (1224) (all_0_139_139 = e11 & all_0_140_140 = e12 & ~ (all_0_142_142 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_144_144 = e11) & ~ (all_0_145_145 = e10)) | (all_0_139_139 = e10 & all_0_141_141 = e12) | (all_0_142_142 = e11 & all_0_144_144 = e13 & ~ (all_0_135_135 = e12) & ~ (all_0_136_136 = e11))
% 14.25/3.73 |
% 14.25/3.73 +-Applying beta-rule and splitting (1224), into two cases.
% 14.25/3.73 |-Branch one:
% 14.25/3.73 | (1225) (all_0_139_139 = e11 & all_0_140_140 = e12 & ~ (all_0_142_142 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_144_144 = e11) & ~ (all_0_145_145 = e10)) | (all_0_139_139 = e10 & all_0_141_141 = e12)
% 14.25/3.73 |
% 14.25/3.73 +-Applying beta-rule and splitting (1225), into two cases.
% 14.25/3.73 |-Branch one:
% 14.25/3.73 | (1226) all_0_139_139 = e11 & all_0_140_140 = e12 & ~ (all_0_142_142 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_144_144 = e11) & ~ (all_0_145_145 = e10)
% 14.25/3.73 |
% 14.25/3.73 | Applying alpha-rule on (1226) yields:
% 14.25/3.73 | (1227) ~ (all_0_142_142 = e13)
% 14.25/3.73 | (1228) ~ (all_0_145_145 = e10)
% 14.25/3.73 | (787) ~ (all_0_143_143 = e12)
% 14.25/3.73 | (929) all_0_140_140 = e12
% 14.25/3.73 | (877) ~ (all_0_144_144 = e11)
% 14.25/3.73 | (871) all_0_139_139 = e11
% 14.25/3.73 |
% 14.25/3.73 | Equations (929) can reduce 591 to:
% 14.25/3.73 | (328) ~ (e12 = e11)
% 14.25/3.73 |
% 14.25/3.73 +-Applying beta-rule and splitting (13), into two cases.
% 14.25/3.73 |-Branch one:
% 14.25/3.73 | (713) all_0_143_143 = e12
% 14.25/3.73 |
% 14.25/3.73 | Equations (713) can reduce 787 to:
% 14.25/3.73 | (414) $false
% 14.25/3.73 |
% 14.25/3.73 |-The branch is then unsatisfiable
% 14.25/3.73 |-Branch two:
% 14.25/3.73 | (787) ~ (all_0_143_143 = e12)
% 14.25/3.73 | (788) all_0_144_144 = e12 | all_0_145_145 = e12
% 14.25/3.73 |
% 14.25/3.73 +-Applying beta-rule and splitting (814), into two cases.
% 14.25/3.73 |-Branch one:
% 14.25/3.73 | (827) all_0_139_139 = e12
% 14.25/3.73 |
% 14.25/3.73 | Combining equations (871,827) yields a new equation:
% 14.25/3.73 | (692) e12 = e11
% 14.25/3.73 |
% 14.25/3.73 | Equations (692) can reduce 328 to:
% 14.25/3.73 | (414) $false
% 14.25/3.73 |
% 14.25/3.73 |-The branch is then unsatisfiable
% 14.25/3.73 |-Branch two:
% 14.25/3.73 | (675) ~ (all_0_139_139 = e12)
% 14.25/3.73 | (713) all_0_143_143 = e12
% 14.25/3.73 |
% 14.25/3.73 | Equations (713) can reduce 787 to:
% 14.25/3.73 | (414) $false
% 14.25/3.73 |
% 14.25/3.73 |-The branch is then unsatisfiable
% 14.25/3.74 |-Branch two:
% 14.25/3.74 | (1234) all_0_139_139 = e10 & all_0_141_141 = e12
% 14.25/3.74 |
% 14.25/3.74 | Applying alpha-rule on (1234) yields:
% 14.25/3.74 | (705) all_0_139_139 = e10
% 14.25/3.74 | (674) all_0_141_141 = e12
% 14.25/3.74 |
% 14.25/3.74 | Combining equations (871,705) yields a new equation:
% 14.25/3.74 | (943) e11 = e10
% 14.25/3.74 |
% 14.25/3.74 | Simplifying 943 yields:
% 14.25/3.74 | (944) e11 = e10
% 14.25/3.74 |
% 14.25/3.74 | Equations (944) can reduce 306 to:
% 14.25/3.74 | (414) $false
% 14.25/3.74 |
% 14.25/3.74 |-The branch is then unsatisfiable
% 14.25/3.74 |-Branch two:
% 14.25/3.74 | (1238) all_0_142_142 = e11 & all_0_144_144 = e13 & ~ (all_0_135_135 = e12) & ~ (all_0_136_136 = e11)
% 14.25/3.74 |
% 14.25/3.74 | Applying alpha-rule on (1238) yields:
% 14.25/3.74 | (696) all_0_142_142 = e11
% 14.25/3.74 | (867) all_0_144_144 = e13
% 14.25/3.74 | (694) ~ (all_0_135_135 = e12)
% 14.25/3.74 | (664) ~ (all_0_136_136 = e11)
% 14.25/3.74 |
% 14.25/3.74 | Equations (867) can reduce 580 to:
% 14.25/3.74 | (414) $false
% 14.25/3.74 |
% 14.25/3.74 |-The branch is then unsatisfiable
% 14.25/3.74 |-Branch two:
% 14.25/3.74 | (1245) all_0_143_143 = e11 & all_0_144_144 = e12 & ~ (all_0_138_138 = e13) & ~ (all_0_139_139 = e12) & ~ (all_0_140_140 = e11) & ~ (all_0_141_141 = e10)
% 14.25/3.74 |
% 14.25/3.74 | Applying alpha-rule on (1245) yields:
% 14.25/3.74 | (591) ~ (all_0_140_140 = e11)
% 14.25/3.74 | (675) ~ (all_0_139_139 = e12)
% 14.25/3.74 | (684) ~ (all_0_141_141 = e10)
% 14.25/3.74 | (576) ~ (all_0_138_138 = e13)
% 14.25/3.74 | (882) all_0_144_144 = e12
% 14.25/3.74 | (716) all_0_143_143 = e11
% 14.25/3.74 |
% 14.25/3.74 | Equations (716) can reduce 666 to:
% 14.25/3.74 | (414) $false
% 14.25/3.74 |
% 14.25/3.74 |-The branch is then unsatisfiable
% 14.25/3.74 |-Branch two:
% 14.25/3.74 | (1309) all_0_147_147 = e10 & ~ (all_0_142_142 = e13) & ~ (all_0_143_143 = e12) & ~ (all_0_144_144 = e11) & ~ (all_0_145_145 = e10)
% 14.25/3.74 |
% 14.25/3.74 | Applying alpha-rule on (1309) yields:
% 14.25/3.74 | (626) all_0_147_147 = e10
% 14.25/3.74 | (1227) ~ (all_0_142_142 = e13)
% 14.25/3.74 | (1228) ~ (all_0_145_145 = e10)
% 14.25/3.74 | (787) ~ (all_0_143_143 = e12)
% 14.25/3.74 | (877) ~ (all_0_144_144 = e11)
% 14.25/3.74 |
% 14.25/3.74 | Combining equations (623,626) yields a new equation:
% 14.25/3.74 | (1044) e13 = e10
% 14.25/3.74 |
% 14.25/3.74 | Simplifying 1044 yields:
% 14.25/3.74 | (818) e13 = e10
% 14.25/3.74 |
% 14.25/3.74 | Equations (818) can reduce 197 to:
% 14.25/3.74 | (414) $false
% 14.25/3.74 |
% 14.25/3.74 |-The branch is then unsatisfiable
% 14.25/3.74 |-Branch two:
% 14.25/3.74 | (589) ~ (all_0_139_139 = e11)
% 14.25/3.74 | (716) all_0_143_143 = e11
% 14.25/3.74 |
% 14.25/3.74 | Equations (716) can reduce 666 to:
% 14.25/3.74 | (414) $false
% 14.25/3.74 |
% 14.25/3.74 |-The branch is then unsatisfiable
% 14.25/3.74 |-Branch two:
% 14.25/3.74 | (620) ~ (all_0_147_147 = e13)
% 14.25/3.74 | (626) all_0_147_147 = e10
% 14.25/3.74 |
% 14.25/3.74 | Equations (626) can reduce 976 to:
% 14.25/3.74 | (414) $false
% 14.25/3.74 |
% 14.25/3.74 |-The branch is then unsatisfiable
% 14.25/3.74 |-Branch two:
% 14.25/3.74 | (848) ~ (all_0_109_109 = all_0_138_138)
% 14.25/3.74 | (849) all_0_110_110 = all_0_142_142
% 14.25/3.74 |
% 14.25/3.74 | Combining equations (849,1332) yields a new equation:
% 14.25/3.74 | (1520) all_0_142_142 = all_0_144_144
% 14.25/3.74 |
% 14.25/3.74 | Simplifying 1520 yields:
% 14.25/3.74 | (1521) all_0_142_142 = all_0_144_144
% 14.25/3.74 |
% 14.25/3.74 | Combining equations (696,1521) yields a new equation:
% 14.25/3.74 | (721) all_0_144_144 = e11
% 14.25/3.74 |
% 14.25/3.74 | Equations (721) can reduce 877 to:
% 14.25/3.74 | (414) $false
% 14.25/3.74 |
% 14.25/3.74 |-The branch is then unsatisfiable
% 14.25/3.74 |-Branch two:
% 14.25/3.74 | (576) ~ (all_0_138_138 = e13)
% 14.25/3.74 | (587) all_0_138_138 = e11
% 14.25/3.74 |
% 14.25/3.74 | Equations (587) can reduce 1318 to:
% 14.25/3.74 | (414) $false
% 14.25/3.74 |
% 14.25/3.74 |-The branch is then unsatisfiable
% 14.25/3.74 |-Branch two:
% 14.25/3.74 | (1659) ~ (all_0_127_127 = e23)
% 14.25/3.74 | (1660) all_0_131_131 = e23 | all_0_134_134 = e23
% 14.25/3.74 |
% 14.25/3.74 +-Applying beta-rule and splitting (1660), into two cases.
% 14.25/3.74 |-Branch one:
% 14.25/3.74 | (452) all_0_131_131 = e23
% 14.25/3.74 |
% 14.25/3.74 | Combining equations (524,452) yields a new equation:
% 14.25/3.74 | (455) e23 = e21
% 14.25/3.74 |
% 14.25/3.74 | Equations (455) can reduce 293 to:
% 14.25/3.74 | (414) $false
% 14.25/3.74 |
% 14.25/3.74 |-The branch is then unsatisfiable
% 14.25/3.74 |-Branch two:
% 14.25/3.74 | (418) ~ (all_0_131_131 = e23)
% 14.25/3.74 | (1665) all_0_134_134 = e23
% 14.25/3.74 |
% 14.25/3.74 | Combining equations (485,1665) yields a new equation:
% 14.25/3.74 | (545) e23 = e20
% 14.25/3.74 |
% 14.25/3.74 | Equations (545) can reduce 278 to:
% 14.25/3.74 | (414) $false
% 14.25/3.74 |
% 14.25/3.74 |-The branch is then unsatisfiable
% 14.25/3.74 |-Branch two:
% 14.25/3.74 | (1668) ~ (all_0_133_133 = e23)
% 14.25/3.74 | (1669) all_0_133_133 = e20
% 14.25/3.74 |
% 14.25/3.74 | Equations (1669) can reduce 559 to:
% 14.25/3.74 | (414) $false
% 14.25/3.74 |
% 14.25/3.74 |-The branch is then unsatisfiable
% 14.25/3.74 |-Branch two:
% 14.25/3.74 | (1671) ~ (all_0_126_126 = e20)
% 14.25/3.74 | (1672) all_0_130_130 = e20 | all_0_133_133 = e20
% 14.25/3.74 |
% 14.25/3.74 +-Applying beta-rule and splitting (1672), into two cases.
% 14.25/3.74 |-Branch one:
% 14.25/3.74 | (1673) all_0_130_130 = e20
% 14.25/3.74 |
% 14.25/3.74 | Combining equations (479,1673) yields a new equation:
% 14.25/3.74 | (509) e22 = e20
% 14.25/3.74 |
% 14.25/3.74 | Simplifying 509 yields:
% 14.25/3.74 | (510) e22 = e20
% 14.25/3.74 |
% 14.25/3.74 | Equations (510) can reduce 123 to:
% 14.25/3.74 | (414) $false
% 14.25/3.74 |
% 14.25/3.74 |-The branch is then unsatisfiable
% 14.25/3.74 |-Branch two:
% 14.25/3.74 | (1677) ~ (all_0_130_130 = e20)
% 14.25/3.74 | (1669) all_0_133_133 = e20
% 14.25/3.74 |
% 14.25/3.74 | Equations (1669) can reduce 559 to:
% 14.25/3.74 | (414) $false
% 14.25/3.74 |
% 14.25/3.74 |-The branch is then unsatisfiable
% 14.25/3.74 |-Branch two:
% 14.25/3.74 | (465) ~ (all_0_123_123 = e22)
% 14.25/3.74 | (1681) all_0_123_123 = e23 | all_0_123_123 = e21
% 14.25/3.74 |
% 14.25/3.74 +-Applying beta-rule and splitting (1681), into two cases.
% 14.25/3.74 |-Branch one:
% 14.25/3.74 | (469) all_0_123_123 = e21
% 14.25/3.74 |
% 14.25/3.74 | Equations (469) can reduce 454 to:
% 14.25/3.74 | (414) $false
% 14.25/3.74 |
% 14.25/3.74 |-The branch is then unsatisfiable
% 14.25/3.74 |-Branch two:
% 14.25/3.74 | (454) ~ (all_0_123_123 = e21)
% 14.25/3.74 | (569) all_0_123_123 = e23
% 14.25/3.74 |
% 14.25/3.74 | Equations (569) can reduce 492 to:
% 14.25/3.74 | (414) $false
% 14.25/3.74 |
% 14.25/3.74 |-The branch is then unsatisfiable
% 14.25/3.74 |-Branch two:
% 14.25/3.74 | (428) ~ (all_0_128_128 = e22)
% 14.25/3.74 | (1688) all_0_96_96 = all_0_125_125 | all_0_97_97 = all_0_129_129
% 14.25/3.74 |
% 14.25/3.74 +-Applying beta-rule and splitting (1688), into two cases.
% 14.25/3.74 |-Branch one:
% 14.25/3.74 | (1689) all_0_96_96 = all_0_125_125
% 14.25/3.74 |
% 14.25/3.74 | Combining equations (424,1689) yields a new equation:
% 14.25/3.74 | (1690) all_0_125_125 = all_0_130_130
% 14.25/3.74 |
% 14.25/3.74 | Combining equations (404,1690) yields a new equation:
% 14.25/3.74 | (463) all_0_130_130 = e21
% 14.25/3.74 |
% 14.25/3.74 | Equations (463) can reduce 501 to:
% 14.25/3.74 | (414) $false
% 14.25/3.74 |
% 14.25/3.74 |-The branch is then unsatisfiable
% 14.25/3.74 |-Branch two:
% 14.25/3.74 | (1693) ~ (all_0_96_96 = all_0_125_125)
% 14.25/3.74 | (1694) all_0_97_97 = all_0_129_129
% 14.25/3.74 |
% 14.25/3.74 | Combining equations (423,1694) yields a new equation:
% 14.25/3.74 | (1695) all_0_123_123 = all_0_129_129
% 14.25/3.74 |
% 14.25/3.74 | Simplifying 1695 yields:
% 14.25/3.74 | (1696) all_0_123_123 = all_0_129_129
% 14.25/3.74 |
% 14.25/3.74 | Combining equations (416,1696) yields a new equation:
% 14.25/3.74 | (569) all_0_123_123 = e23
% 14.25/3.74 |
% 14.25/3.74 | Equations (569) can reduce 492 to:
% 14.25/3.74 | (414) $false
% 14.25/3.74 |
% 14.25/3.74 |-The branch is then unsatisfiable
% 14.25/3.74 |-Branch two:
% 14.25/3.74 | (464) ~ (all_0_122_122 = e21)
% 14.25/3.74 | (469) all_0_123_123 = e21
% 14.25/3.74 |
% 14.25/3.74 | Equations (469) can reduce 180 to:
% 14.25/3.74 | (405) ~ (all_0_127_127 = e21)
% 14.25/3.74 |
% 14.25/3.74 | Simplifying 405 yields:
% 14.25/3.74 | (406) ~ (all_0_127_127 = e21)
% 14.25/3.74 |
% 14.25/3.74 | Equations (469) can reduce 90 to:
% 14.25/3.74 | (1703) ~ (all_0_131_131 = e21)
% 14.25/3.74 |
% 14.25/3.74 | Simplifying 1703 yields:
% 14.25/3.74 | (443) ~ (all_0_131_131 = e21)
% 14.25/3.74 |
% 14.25/3.74 | Equations (469) can reduce 492 to:
% 14.25/3.74 | (1705) ~ (e23 = e21)
% 14.25/3.74 |
% 14.25/3.74 | Simplifying 1705 yields:
% 14.25/3.74 | (293) ~ (e23 = e21)
% 14.25/3.74 |
% 14.25/3.74 | From (469) and (296) follows:
% 14.25/3.74 | (1707) op2(e21, e23) = all_0_102_102
% 14.25/3.74 |
% 14.25/3.74 +-Applying beta-rule and splitting (80), into two cases.
% 14.25/3.74 |-Branch one:
% 14.25/3.74 | (413) all_0_129_129 = e21
% 14.25/3.74 |
% 14.25/3.74 | Combining equations (416,413) yields a new equation:
% 14.25/3.74 | (1709) e23 = e21
% 14.25/3.74 |
% 14.25/3.74 | Simplifying 1709 yields:
% 14.25/3.74 | (455) e23 = e21
% 14.25/3.74 |
% 14.25/3.74 | Equations (455) can reduce 293 to:
% 14.25/3.74 | (414) $false
% 14.25/3.74 |
% 14.25/3.74 |-The branch is then unsatisfiable
% 14.25/3.74 |-Branch two:
% 14.25/3.74 | (410) ~ (all_0_129_129 = e21)
% 14.25/3.74 | (1713) all_0_130_130 = e21 | all_0_131_131 = e21
% 14.25/3.74 |
% 14.25/3.74 +-Applying beta-rule and splitting (1713), into two cases.
% 14.25/3.74 |-Branch one:
% 14.25/3.74 | (463) all_0_130_130 = e21
% 14.25/3.74 |
% 14.25/3.74 | Equations (463) can reduce 353 to:
% 14.25/3.74 | (464) ~ (all_0_122_122 = e21)
% 14.25/3.74 |
% 14.25/3.74 | Equations (463) can reduce 388 to:
% 14.25/3.75 | (1716) ~ (all_0_126_126 = e21)
% 14.25/3.75 |
% 14.25/3.75 | Equations (463) can reduce 243 to:
% 14.25/3.75 | (1703) ~ (all_0_131_131 = e21)
% 14.25/3.75 |
% 14.25/3.75 | Simplifying 1703 yields:
% 14.25/3.75 | (443) ~ (all_0_131_131 = e21)
% 14.25/3.75 |
% 14.25/3.75 | Equations (463) can reduce 239 to:
% 14.25/3.75 | (1719) ~ (all_0_132_132 = e21)
% 14.25/3.75 |
% 14.25/3.75 | Simplifying 1719 yields:
% 14.25/3.75 | (27) ~ (all_0_132_132 = e21)
% 14.25/3.75 |
% 14.25/3.75 | Equations (463) can reduce 33 to:
% 14.25/3.75 | (502) ~ (all_0_133_133 = e21)
% 14.25/3.75 |
% 14.25/3.75 | Simplifying 502 yields:
% 14.25/3.75 | (312) ~ (all_0_133_133 = e21)
% 14.25/3.75 |
% 14.25/3.75 | From (463) and (218) follows:
% 14.25/3.75 | (1723) op2(e21, e21) = all_0_100_100
% 14.25/3.75 |
% 14.25/3.75 +-Applying beta-rule and splitting (59), into two cases.
% 14.25/3.75 |-Branch one:
% 14.25/3.75 | (472) all_0_122_122 = e22
% 14.25/3.75 |
% 14.25/3.75 | Equations (472) can reduce 84 to:
% 14.25/3.75 | (1725) ~ (all_0_126_126 = e22)
% 14.25/3.75 |
% 14.25/3.75 | Simplifying 1725 yields:
% 14.25/3.75 | (461) ~ (all_0_126_126 = e22)
% 14.25/3.75 |
% 14.25/3.75 | Equations (472) can reduce 464 to:
% 14.25/3.75 | (254) ~ (e22 = e21)
% 14.25/3.75 |
% 14.25/3.75 | From (472) and (245) follows:
% 14.25/3.75 | (1728) op2(e22, e23) = all_0_98_98
% 14.25/3.75 |
% 14.25/3.75 | From (472) and (23) follows:
% 14.25/3.75 | (1729) op2(e23, e22) = e22
% 14.25/3.75 |
% 14.25/3.75 | Instantiating formula (3) with e22, e23, all_0_98_98, e21 and discharging atoms op2(e22, e23) = all_0_98_98, op2(e22, e23) = e21, yields:
% 14.25/3.75 | (1730) all_0_98_98 = e21
% 14.25/3.75 |
% 14.25/3.75 | Instantiating formula (3) with e21, e23, all_0_102_102, e23 and discharging atoms op2(e21, e23) = all_0_102_102, op2(e21, e23) = e23, yields:
% 14.25/3.75 | (1731) all_0_102_102 = e23
% 14.25/3.75 |
% 14.25/3.75 | Instantiating formula (3) with e21, e21, all_0_100_100, all_0_131_131 and discharging atoms op2(e21, e21) = all_0_100_100, op2(e21, e21) = all_0_131_131, yields:
% 14.25/3.75 | (1732) all_0_100_100 = all_0_131_131
% 14.25/3.75 |
% 14.25/3.75 +-Applying beta-rule and splitting (376), into two cases.
% 14.25/3.75 |-Branch one:
% 14.25/3.75 | (1665) all_0_134_134 = e23
% 14.25/3.75 |
% 14.25/3.75 | Equations (1665) can reduce 68 to:
% 14.25/3.75 | (1668) ~ (all_0_133_133 = e23)
% 14.25/3.75 |
% 14.25/3.75 +-Applying beta-rule and splitting (73), into two cases.
% 14.25/3.75 |-Branch one:
% 14.25/3.75 | (565) all_0_133_133 = e23
% 14.25/3.75 |
% 14.25/3.75 | Equations (565) can reduce 1668 to:
% 14.25/3.75 | (414) $false
% 14.25/3.75 |
% 14.25/3.75 |-The branch is then unsatisfiable
% 14.25/3.75 |-Branch two:
% 14.25/3.75 | (1668) ~ (all_0_133_133 = e23)
% 14.25/3.75 | (1669) all_0_133_133 = e20
% 14.25/3.75 |
% 14.25/3.75 | Equations (1669) can reduce 184 to:
% 14.25/3.75 | (1671) ~ (all_0_126_126 = e20)
% 14.25/3.75 |
% 14.25/3.75 | Equations (1669) can reduce 312 to:
% 14.25/3.75 | (1740) ~ (e21 = e20)
% 14.25/3.75 |
% 14.25/3.75 | Simplifying 1740 yields:
% 14.25/3.75 | (339) ~ (e21 = e20)
% 14.25/3.75 |
% 14.25/3.75 | From (1669) and (335) follows:
% 14.25/3.75 | (1742) op2(e20, e20) = all_0_101_101
% 14.25/3.75 |
% 14.25/3.75 +-Applying beta-rule and splitting (122), into two cases.
% 14.25/3.75 |-Branch one:
% 14.25/3.75 | (476) all_0_126_126 = e22
% 14.25/3.75 |
% 14.25/3.75 | Equations (476) can reduce 461 to:
% 14.25/3.75 | (414) $false
% 14.25/3.75 |
% 14.25/3.75 |-The branch is then unsatisfiable
% 14.25/3.75 |-Branch two:
% 14.25/3.75 | (461) ~ (all_0_126_126 = e22)
% 14.25/3.75 | (1746) all_0_126_126 = e23 | all_0_126_126 = e21 | all_0_126_126 = e20
% 14.25/3.75 |
% 14.25/3.75 +-Applying beta-rule and splitting (1746), into two cases.
% 14.25/3.75 |-Branch one:
% 14.25/3.75 | (442) all_0_126_126 = e21
% 14.25/3.75 |
% 14.25/3.75 | Equations (442) can reduce 1716 to:
% 14.25/3.75 | (414) $false
% 14.25/3.75 |
% 14.25/3.75 |-The branch is then unsatisfiable
% 14.25/3.75 |-Branch two:
% 14.25/3.75 | (1716) ~ (all_0_126_126 = e21)
% 14.25/3.75 | (1750) all_0_126_126 = e23 | all_0_126_126 = e20
% 14.25/3.75 |
% 14.25/3.75 +-Applying beta-rule and splitting (1750), into two cases.
% 14.25/3.75 |-Branch one:
% 14.25/3.75 | (1751) all_0_126_126 = e23
% 14.25/3.75 |
% 14.43/3.75 | Equations (1751) can reduce 461 to:
% 14.43/3.75 | (40) ~ (e23 = e22)
% 14.43/3.75 |
% 14.43/3.75 | From (1751) and (204) follows:
% 14.43/3.75 | (1753) op2(e23, e22) = all_0_99_99
% 14.43/3.75 |
% 14.43/3.75 | Instantiating formula (3) with e23, e22, all_0_99_99, e22 and discharging atoms op2(e23, e22) = all_0_99_99, op2(e23, e22) = e22, yields:
% 14.43/3.75 | (1754) all_0_99_99 = e22
% 14.43/3.75 |
% 14.43/3.75 | Instantiating formula (3) with e20, e20, all_0_101_101, e21 and discharging atoms op2(e20, e20) = all_0_101_101, op2(e20, e20) = e21, yields:
% 14.43/3.75 | (1755) all_0_101_101 = e21
% 14.43/3.75 |
% 14.43/3.75 +-Applying beta-rule and splitting (16), into two cases.
% 14.43/3.75 |-Branch one:
% 14.43/3.75 | (1756) all_0_98_98 = all_0_122_122
% 14.43/3.75 |
% 14.43/3.75 | Combining equations (1730,1756) yields a new equation:
% 14.43/3.75 | (466) all_0_122_122 = e21
% 14.43/3.75 |
% 14.43/3.75 | Combining equations (472,466) yields a new equation:
% 14.43/3.75 | (1758) e22 = e21
% 14.43/3.75 |
% 14.43/3.75 | Simplifying 1758 yields:
% 14.43/3.75 | (480) e22 = e21
% 14.43/3.75 |
% 14.43/3.75 | Equations (480) can reduce 254 to:
% 14.43/3.75 | (414) $false
% 14.43/3.75 |
% 14.43/3.75 |-The branch is then unsatisfiable
% 14.43/3.75 |-Branch two:
% 14.43/3.75 | (1761) ~ (all_0_98_98 = all_0_122_122)
% 14.43/3.75 | (1762) all_0_99_99 = all_0_126_126 | all_0_100_100 = all_0_130_130 | all_0_101_101 = all_0_133_133
% 14.43/3.75 |
% 14.43/3.75 +-Applying beta-rule and splitting (1762), into two cases.
% 14.43/3.75 |-Branch one:
% 14.43/3.75 | (1763) all_0_99_99 = all_0_126_126
% 14.43/3.75 |
% 14.43/3.75 | Combining equations (1754,1763) yields a new equation:
% 14.43/3.75 | (476) all_0_126_126 = e22
% 14.43/3.75 |
% 14.43/3.75 | Combining equations (1751,476) yields a new equation:
% 14.43/3.75 | (430) e23 = e22
% 14.43/3.75 |
% 14.43/3.75 | Simplifying 430 yields:
% 14.43/3.75 | (431) e23 = e22
% 14.43/3.75 |
% 14.43/3.75 | Equations (431) can reduce 40 to:
% 14.43/3.75 | (414) $false
% 14.43/3.75 |
% 14.43/3.75 |-The branch is then unsatisfiable
% 14.43/3.75 |-Branch two:
% 14.43/3.75 | (1768) ~ (all_0_99_99 = all_0_126_126)
% 14.43/3.75 | (1769) all_0_100_100 = all_0_130_130 | all_0_101_101 = all_0_133_133
% 14.43/3.75 |
% 14.43/3.75 +-Applying beta-rule and splitting (1769), into two cases.
% 14.43/3.75 |-Branch one:
% 14.43/3.75 | (1770) all_0_100_100 = all_0_130_130
% 14.43/3.75 |
% 14.43/3.75 | Combining equations (1770,1732) yields a new equation:
% 14.43/3.75 | (1771) all_0_130_130 = all_0_131_131
% 14.43/3.75 |
% 14.43/3.75 | Simplifying 1771 yields:
% 14.43/3.75 | (1772) all_0_130_130 = all_0_131_131
% 14.43/3.75 |
% 14.43/3.75 | Combining equations (463,1772) yields a new equation:
% 14.43/3.75 | (524) all_0_131_131 = e21
% 14.43/3.75 |
% 14.43/3.75 | Equations (524) can reduce 443 to:
% 14.43/3.75 | (414) $false
% 14.43/3.75 |
% 14.43/3.75 |-The branch is then unsatisfiable
% 14.43/3.75 |-Branch two:
% 14.43/3.75 | (1775) ~ (all_0_100_100 = all_0_130_130)
% 14.43/3.75 | (1776) all_0_101_101 = all_0_133_133
% 14.43/3.75 |
% 14.43/3.75 | Combining equations (1755,1776) yields a new equation:
% 14.43/3.75 | (1777) all_0_133_133 = e21
% 14.43/3.75 |
% 14.43/3.75 | Combining equations (1777,1669) yields a new equation:
% 14.43/3.75 | (1778) e21 = e20
% 14.43/3.75 |
% 14.43/3.75 | Simplifying 1778 yields:
% 14.43/3.75 | (1779) e21 = e20
% 14.43/3.75 |
% 14.43/3.75 | Equations (1779) can reduce 339 to:
% 14.43/3.75 | (414) $false
% 14.43/3.75 |
% 14.43/3.75 |-The branch is then unsatisfiable
% 14.43/3.75 |-Branch two:
% 14.43/3.75 | (1781) ~ (all_0_126_126 = e23)
% 14.43/3.75 | (447) all_0_126_126 = e20
% 14.43/3.75 |
% 14.43/3.75 | Equations (447) can reduce 1671 to:
% 14.43/3.75 | (414) $false
% 14.43/3.75 |
% 14.43/3.75 |-The branch is then unsatisfiable
% 14.43/3.75 |-Branch two:
% 14.43/3.75 | (1784) ~ (all_0_134_134 = e23)
% 14.43/3.75 | (485) all_0_134_134 = e20
% 14.43/3.75 |
% 14.43/3.75 | Equations (485) can reduce 68 to:
% 14.43/3.75 | (559) ~ (all_0_133_133 = e20)
% 14.43/3.75 |
% 14.43/3.75 | From (485) and (49) follows:
% 14.43/3.75 | (1787) op2(e20, e20) = all_0_105_105
% 14.43/3.75 |
% 14.43/3.75 +-Applying beta-rule and splitting (73), into two cases.
% 14.43/3.75 |-Branch one:
% 14.43/3.75 | (565) all_0_133_133 = e23
% 14.43/3.75 |
% 14.43/3.75 | Equations (565) can reduce 184 to:
% 14.43/3.75 | (1781) ~ (all_0_126_126 = e23)
% 14.43/3.75 |
% 14.43/3.75 | Equations (565) can reduce 312 to:
% 14.43/3.75 | (293) ~ (e23 = e21)
% 14.43/3.75 |
% 14.43/3.75 +-Applying beta-rule and splitting (122), into two cases.
% 14.43/3.75 |-Branch one:
% 14.43/3.75 | (476) all_0_126_126 = e22
% 14.43/3.75 |
% 14.43/3.75 | Equations (476) can reduce 461 to:
% 14.43/3.75 | (414) $false
% 14.43/3.75 |
% 14.43/3.75 |-The branch is then unsatisfiable
% 14.43/3.75 |-Branch two:
% 14.43/3.75 | (461) ~ (all_0_126_126 = e22)
% 14.43/3.75 | (1746) all_0_126_126 = e23 | all_0_126_126 = e21 | all_0_126_126 = e20
% 14.43/3.75 |
% 14.43/3.75 +-Applying beta-rule and splitting (1746), into two cases.
% 14.43/3.75 |-Branch one:
% 14.43/3.75 | (442) all_0_126_126 = e21
% 14.43/3.75 |
% 14.43/3.75 | Equations (442) can reduce 1716 to:
% 14.43/3.75 | (414) $false
% 14.43/3.75 |
% 14.43/3.75 |-The branch is then unsatisfiable
% 14.43/3.75 |-Branch two:
% 14.43/3.75 | (1716) ~ (all_0_126_126 = e21)
% 14.43/3.76 | (1750) all_0_126_126 = e23 | all_0_126_126 = e20
% 14.43/3.76 |
% 14.43/3.76 +-Applying beta-rule and splitting (1750), into two cases.
% 14.43/3.76 |-Branch one:
% 14.43/3.76 | (1751) all_0_126_126 = e23
% 14.43/3.76 |
% 14.43/3.76 | Equations (1751) can reduce 1781 to:
% 14.43/3.76 | (414) $false
% 14.43/3.76 |
% 14.43/3.76 |-The branch is then unsatisfiable
% 14.43/3.76 |-Branch two:
% 14.43/3.76 | (1781) ~ (all_0_126_126 = e23)
% 14.43/3.76 | (447) all_0_126_126 = e20
% 14.43/3.76 |
% 14.43/3.76 | Equations (447) can reduce 94 to:
% 14.43/3.76 | (1803) ~ (all_0_128_128 = e20)
% 14.43/3.76 |
% 14.43/3.76 | Simplifying 1803 yields:
% 14.43/3.76 | (458) ~ (all_0_128_128 = e20)
% 14.43/3.76 |
% 14.43/3.76 | Equations (447) can reduce 1781 to:
% 14.43/3.76 | (514) ~ (e23 = e20)
% 14.43/3.76 |
% 14.43/3.76 | Simplifying 514 yields:
% 14.43/3.76 | (278) ~ (e23 = e20)
% 14.43/3.76 |
% 14.43/3.76 | From (447)(447) and (30) follows:
% 14.43/3.76 | (1807) op2(e20, e20) = all_0_94_94
% 14.43/3.76 |
% 14.43/3.76 +-Applying beta-rule and splitting (173), into two cases.
% 14.43/3.76 |-Branch one:
% 14.43/3.76 | (448) all_0_128_128 = e22
% 14.43/3.76 |
% 14.43/3.76 | Equations (448) can reduce 130 to:
% 14.43/3.76 | (1809) ~ (all_0_132_132 = e22)
% 14.43/3.76 |
% 14.43/3.76 | Simplifying 1809 yields:
% 14.43/3.76 | (1810) ~ (all_0_132_132 = e22)
% 14.43/3.76 |
% 14.43/3.76 | Equations (448) can reduce 342 to:
% 14.43/3.76 | (254) ~ (e22 = e21)
% 14.43/3.76 |
% 14.43/3.76 | Equations (448) can reduce 458 to:
% 14.43/3.76 | (123) ~ (e22 = e20)
% 14.43/3.76 |
% 14.43/3.76 +-Applying beta-rule and splitting (228), into two cases.
% 14.43/3.76 |-Branch one:
% 14.43/3.76 | (508) all_0_128_128 = e20
% 14.43/3.76 |
% 14.43/3.76 | Combining equations (508,448) yields a new equation:
% 14.43/3.76 | (510) e22 = e20
% 14.43/3.76 |
% 14.43/3.76 | Equations (510) can reduce 123 to:
% 14.43/3.76 | (414) $false
% 14.43/3.76 |
% 14.43/3.76 |-The branch is then unsatisfiable
% 14.43/3.76 |-Branch two:
% 14.43/3.76 | (458) ~ (all_0_128_128 = e20)
% 14.43/3.76 | (513) all_0_132_132 = e20
% 14.43/3.76 |
% 14.43/3.76 | Equations (513) can reduce 494 to:
% 14.43/3.76 | (514) ~ (e23 = e20)
% 14.43/3.76 |
% 14.43/3.76 | Simplifying 514 yields:
% 14.43/3.76 | (278) ~ (e23 = e20)
% 14.43/3.76 |
% 14.43/3.76 | Equations (513) can reduce 1810 to:
% 14.43/3.76 | (560) ~ (e22 = e20)
% 14.43/3.76 |
% 14.43/3.76 | Simplifying 560 yields:
% 14.43/3.76 | (123) ~ (e22 = e20)
% 14.43/3.76 |
% 14.43/3.76 | Equations (513) can reduce 27 to:
% 14.43/3.76 | (1740) ~ (e21 = e20)
% 14.43/3.76 |
% 14.43/3.76 | Simplifying 1740 yields:
% 14.43/3.76 | (339) ~ (e21 = e20)
% 14.43/3.76 |
% 14.43/3.76 +-Applying beta-rule and splitting (304), into two cases.
% 14.43/3.76 |-Branch one:
% 14.43/3.76 | (479) all_0_130_130 = e22
% 14.43/3.76 |
% 14.43/3.76 | Combining equations (463,479) yields a new equation:
% 14.43/3.76 | (480) e22 = e21
% 14.43/3.76 |
% 14.43/3.76 | Equations (480) can reduce 254 to:
% 14.43/3.76 | (414) $false
% 14.43/3.76 |
% 14.43/3.76 |-The branch is then unsatisfiable
% 14.43/3.76 |-Branch two:
% 14.43/3.76 | (444) ~ (all_0_130_130 = e22)
% 14.43/3.76 | (1828) all_0_131_131 = e22 | all_0_132_132 = e22
% 14.43/3.76 |
% 14.43/3.76 +-Applying beta-rule and splitting (205), into two cases.
% 14.43/3.76 |-Branch one:
% 14.43/3.76 | (1829) all_0_125_125 = e23
% 14.43/3.76 |
% 14.43/3.76 | Combining equations (404,1829) yields a new equation:
% 14.43/3.76 | (455) e23 = e21
% 14.43/3.76 |
% 14.43/3.76 | Equations (455) can reduce 293 to:
% 14.43/3.76 | (414) $false
% 14.43/3.76 |
% 14.43/3.76 |-The branch is then unsatisfiable
% 14.43/3.76 |-Branch two:
% 14.43/3.76 | (460) ~ (all_0_125_125 = e23)
% 14.43/3.76 | (1833) all_0_126_126 = e23 | all_0_127_127 = e23 | all_0_128_128 = e23
% 14.43/3.76 |
% 14.43/3.76 | Equations (404) can reduce 460 to:
% 14.43/3.76 | (1705) ~ (e23 = e21)
% 14.43/3.76 |
% 14.43/3.76 | Simplifying 1705 yields:
% 14.43/3.76 | (293) ~ (e23 = e21)
% 14.43/3.76 |
% 14.43/3.76 +-Applying beta-rule and splitting (258), into two cases.
% 14.43/3.76 |-Branch one:
% 14.43/3.76 | (569) all_0_123_123 = e23
% 14.43/3.76 |
% 14.43/3.76 | Combining equations (469,569) yields a new equation:
% 14.43/3.76 | (455) e23 = e21
% 14.43/3.76 |
% 14.43/3.76 | Equations (455) can reduce 293 to:
% 14.43/3.76 | (414) $false
% 14.43/3.76 |
% 14.43/3.76 |-The branch is then unsatisfiable
% 14.43/3.76 |-Branch two:
% 14.43/3.76 | (492) ~ (all_0_123_123 = e23)
% 14.43/3.76 | (573) all_0_127_127 = e23 | all_0_131_131 = e23 | all_0_134_134 = e23
% 14.43/3.76 |
% 14.43/3.76 +-Applying beta-rule and splitting (573), into two cases.
% 14.43/3.76 |-Branch one:
% 14.43/3.76 | (574) all_0_127_127 = e23
% 14.43/3.76 |
% 14.43/3.76 | Equations (574) can reduce 234 to:
% 14.43/3.76 | (417) ~ (all_0_131_131 = e23)
% 14.43/3.76 |
% 14.43/3.76 | Simplifying 417 yields:
% 14.43/3.76 | (418) ~ (all_0_131_131 = e23)
% 14.43/3.76 |
% 14.43/3.76 | Equations (574) can reduce 406 to:
% 14.43/3.76 | (293) ~ (e23 = e21)
% 14.43/3.76 |
% 14.43/3.76 | From (574) and (355) follows:
% 14.43/3.76 | (1845) op2(e23, e22) = all_0_103_103
% 14.43/3.76 |
% 14.43/3.76 | From (574) and (357) follows:
% 14.43/3.76 | (1846) op2(e22, e21) = e23
% 14.43/3.76 |
% 14.43/3.76 +-Applying beta-rule and splitting (1828), into two cases.
% 14.43/3.76 |-Branch one:
% 14.43/3.76 | (462) all_0_131_131 = e22
% 14.43/3.76 |
% 14.43/3.76 | Equations (462) can reduce 418 to:
% 14.43/3.76 | (1848) ~ (e23 = e22)
% 14.43/3.76 |
% 14.43/3.76 | Simplifying 1848 yields:
% 14.43/3.76 | (40) ~ (e23 = e22)
% 14.43/3.76 |
% 14.43/3.76 | From (462) and (297) follows:
% 14.43/3.76 | (1850) op2(e22, e21) = all_0_104_104
% 14.43/3.76 |
% 14.43/3.76 | Instantiating formula (3) with e23, e22, all_0_103_103, e22 and discharging atoms op2(e23, e22) = all_0_103_103, op2(e23, e22) = e22, yields:
% 14.43/3.76 | (1851) all_0_103_103 = e22
% 14.43/3.76 |
% 14.43/3.76 | Instantiating formula (3) with e22, e21, e23, all_0_104_104 and discharging atoms op2(e22, e21) = all_0_104_104, op2(e22, e21) = e23, yields:
% 14.43/3.76 | (1852) all_0_104_104 = e23
% 14.43/3.76 |
% 14.43/3.76 | Instantiating formula (3) with e20, e20, all_0_94_94, e21 and discharging atoms op2(e20, e20) = all_0_94_94, op2(e20, e20) = e21, yields:
% 14.43/3.76 | (1853) all_0_94_94 = e21
% 14.43/3.76 |
% 14.43/3.76 | Instantiating formula (3) with e20, e20, all_0_105_105, all_0_94_94 and discharging atoms op2(e20, e20) = all_0_94_94, op2(e20, e20) = all_0_105_105, yields:
% 14.43/3.76 | (1854) all_0_94_94 = all_0_105_105
% 14.43/3.76 |
% 14.43/3.76 | Combining equations (1853,1854) yields a new equation:
% 14.43/3.76 | (1855) all_0_105_105 = e21
% 14.43/3.76 |
% 14.43/3.76 +-Applying beta-rule and splitting (110), into two cases.
% 14.43/3.76 |-Branch one:
% 14.43/3.76 | (1856) all_0_102_102 = all_0_123_123
% 14.43/3.76 |
% 14.43/3.76 | Combining equations (1856,1731) yields a new equation:
% 14.43/3.76 | (1857) all_0_123_123 = e23
% 14.43/3.76 |
% 14.43/3.76 | Simplifying 1857 yields:
% 14.43/3.76 | (569) all_0_123_123 = e23
% 14.43/3.76 |
% 14.43/3.76 | Combining equations (469,569) yields a new equation:
% 14.43/3.76 | (455) e23 = e21
% 14.43/3.76 |
% 14.43/3.76 | Equations (455) can reduce 293 to:
% 14.43/3.76 | (414) $false
% 14.43/3.76 |
% 14.43/3.76 |-The branch is then unsatisfiable
% 14.43/3.76 |-Branch two:
% 14.43/3.76 | (1861) ~ (all_0_102_102 = all_0_123_123)
% 14.43/3.76 | (1862) all_0_103_103 = all_0_127_127 | all_0_104_104 = all_0_131_131 | all_0_105_105 = all_0_134_134
% 14.43/3.76 |
% 14.43/3.76 +-Applying beta-rule and splitting (1862), into two cases.
% 14.43/3.76 |-Branch one:
% 14.43/3.76 | (1863) all_0_103_103 = all_0_127_127
% 14.43/3.76 |
% 14.43/3.76 | Combining equations (1863,1851) yields a new equation:
% 14.43/3.76 | (1864) all_0_127_127 = e22
% 14.43/3.76 |
% 14.43/3.76 | Simplifying 1864 yields:
% 14.43/3.76 | (440) all_0_127_127 = e22
% 14.43/3.76 |
% 14.43/3.76 | Combining equations (440,574) yields a new equation:
% 14.43/3.76 | (431) e23 = e22
% 14.43/3.76 |
% 14.43/3.76 | Equations (431) can reduce 40 to:
% 14.43/3.76 | (414) $false
% 14.43/3.76 |
% 14.43/3.76 |-The branch is then unsatisfiable
% 14.43/3.76 |-Branch two:
% 14.43/3.76 | (1868) ~ (all_0_103_103 = all_0_127_127)
% 14.43/3.76 | (1869) all_0_104_104 = all_0_131_131 | all_0_105_105 = all_0_134_134
% 14.43/3.76 |
% 14.43/3.76 | Equations (1851,574) can reduce 1868 to:
% 14.43/3.76 | (1848) ~ (e23 = e22)
% 14.43/3.76 |
% 14.43/3.76 | Simplifying 1848 yields:
% 14.43/3.76 | (40) ~ (e23 = e22)
% 14.43/3.76 |
% 14.43/3.76 +-Applying beta-rule and splitting (1869), into two cases.
% 14.43/3.76 |-Branch one:
% 14.43/3.76 | (1872) all_0_104_104 = all_0_131_131
% 14.43/3.76 |
% 14.43/3.76 | Combining equations (1852,1872) yields a new equation:
% 14.43/3.76 | (452) all_0_131_131 = e23
% 14.43/3.76 |
% 14.43/3.76 | Combining equations (462,452) yields a new equation:
% 14.43/3.76 | (431) e23 = e22
% 14.43/3.76 |
% 14.43/3.76 | Equations (431) can reduce 40 to:
% 14.43/3.76 | (414) $false
% 14.43/3.76 |
% 14.43/3.76 |-The branch is then unsatisfiable
% 14.43/3.76 |-Branch two:
% 14.43/3.76 | (1876) ~ (all_0_104_104 = all_0_131_131)
% 14.43/3.76 | (1877) all_0_105_105 = all_0_134_134
% 14.43/3.76 |
% 14.43/3.76 | Combining equations (1855,1877) yields a new equation:
% 14.43/3.76 | (1878) all_0_134_134 = e21
% 14.43/3.76 |
% 14.43/3.76 | Combining equations (1878,485) yields a new equation:
% 14.43/3.76 | (1778) e21 = e20
% 14.43/3.76 |
% 14.43/3.76 | Simplifying 1778 yields:
% 14.43/3.76 | (1779) e21 = e20
% 14.43/3.76 |
% 14.43/3.76 | Equations (1779) can reduce 339 to:
% 14.43/3.76 | (414) $false
% 14.43/3.76 |
% 14.43/3.76 |-The branch is then unsatisfiable
% 14.43/3.76 |-Branch two:
% 14.43/3.76 | (1882) ~ (all_0_131_131 = e22)
% 14.43/3.76 | (1883) all_0_132_132 = e22
% 14.43/3.76 |
% 14.43/3.77 | Combining equations (1883,513) yields a new equation:
% 14.43/3.77 | (509) e22 = e20
% 14.43/3.77 |
% 14.43/3.77 | Simplifying 509 yields:
% 14.43/3.77 | (510) e22 = e20
% 14.43/3.77 |
% 14.43/3.77 | Equations (510) can reduce 123 to:
% 14.43/3.77 | (414) $false
% 14.43/3.77 |
% 14.43/3.77 |-The branch is then unsatisfiable
% 14.43/3.77 |-Branch two:
% 14.43/3.77 | (1659) ~ (all_0_127_127 = e23)
% 14.43/3.77 | (1660) all_0_131_131 = e23 | all_0_134_134 = e23
% 14.43/3.77 |
% 14.43/3.77 +-Applying beta-rule and splitting (1660), into two cases.
% 14.43/3.77 |-Branch one:
% 14.43/3.77 | (452) all_0_131_131 = e23
% 14.43/3.77 |
% 14.43/3.77 | Equations (452) can reduce 418 to:
% 14.43/3.77 | (414) $false
% 14.43/3.77 |
% 14.43/3.77 |-The branch is then unsatisfiable
% 14.43/3.77 |-Branch two:
% 14.43/3.77 | (418) ~ (all_0_131_131 = e23)
% 14.43/3.77 | (1665) all_0_134_134 = e23
% 14.43/3.77 |
% 14.43/3.77 | Combining equations (485,1665) yields a new equation:
% 14.43/3.77 | (545) e23 = e20
% 14.43/3.77 |
% 14.43/3.77 | Equations (545) can reduce 278 to:
% 14.43/3.77 | (414) $false
% 14.43/3.77 |
% 14.43/3.77 |-The branch is then unsatisfiable
% 14.43/3.77 |-Branch two:
% 14.43/3.77 | (428) ~ (all_0_128_128 = e22)
% 14.43/3.77 | (1896) all_0_128_128 = e23 | all_0_128_128 = e20
% 14.43/3.77 |
% 14.43/3.77 +-Applying beta-rule and splitting (205), into two cases.
% 14.43/3.77 |-Branch one:
% 14.43/3.77 | (1829) all_0_125_125 = e23
% 14.43/3.77 |
% 14.43/3.77 | Combining equations (404,1829) yields a new equation:
% 14.43/3.77 | (455) e23 = e21
% 14.43/3.77 |
% 14.43/3.77 | Equations (455) can reduce 293 to:
% 14.43/3.77 | (414) $false
% 14.43/3.77 |
% 14.43/3.77 |-The branch is then unsatisfiable
% 14.43/3.77 |-Branch two:
% 14.43/3.77 | (460) ~ (all_0_125_125 = e23)
% 14.43/3.77 | (1833) all_0_126_126 = e23 | all_0_127_127 = e23 | all_0_128_128 = e23
% 14.43/3.77 |
% 14.43/3.77 | Equations (404) can reduce 460 to:
% 14.43/3.77 | (1705) ~ (e23 = e21)
% 14.43/3.77 |
% 14.43/3.77 | Simplifying 1705 yields:
% 14.43/3.77 | (293) ~ (e23 = e21)
% 14.43/3.77 |
% 14.43/3.77 +-Applying beta-rule and splitting (1833), into two cases.
% 14.43/3.77 |-Branch one:
% 14.43/3.77 | (1751) all_0_126_126 = e23
% 14.43/3.77 |
% 14.43/3.77 | Combining equations (447,1751) yields a new equation:
% 14.43/3.77 | (545) e23 = e20
% 14.43/3.77 |
% 14.43/3.77 | Equations (545) can reduce 278 to:
% 14.43/3.77 | (414) $false
% 14.43/3.77 |
% 14.43/3.77 |-The branch is then unsatisfiable
% 14.43/3.77 |-Branch two:
% 14.43/3.77 | (1781) ~ (all_0_126_126 = e23)
% 14.43/3.77 | (1908) all_0_127_127 = e23 | all_0_128_128 = e23
% 14.43/3.77 |
% 14.43/3.77 | Equations (447) can reduce 1781 to:
% 14.43/3.77 | (514) ~ (e23 = e20)
% 14.43/3.77 |
% 14.43/3.77 | Simplifying 514 yields:
% 14.43/3.77 | (278) ~ (e23 = e20)
% 14.43/3.77 |
% 14.43/3.77 +-Applying beta-rule and splitting (258), into two cases.
% 14.43/3.77 |-Branch one:
% 14.43/3.77 | (569) all_0_123_123 = e23
% 14.43/3.77 |
% 14.43/3.77 | Combining equations (469,569) yields a new equation:
% 14.43/3.77 | (455) e23 = e21
% 14.43/3.77 |
% 14.43/3.77 | Equations (455) can reduce 293 to:
% 14.43/3.77 | (414) $false
% 14.43/3.77 |
% 14.43/3.77 |-The branch is then unsatisfiable
% 14.43/3.77 |-Branch two:
% 14.43/3.77 | (492) ~ (all_0_123_123 = e23)
% 14.43/3.77 | (573) all_0_127_127 = e23 | all_0_131_131 = e23 | all_0_134_134 = e23
% 14.43/3.77 |
% 14.43/3.77 +-Applying beta-rule and splitting (573), into two cases.
% 14.43/3.77 |-Branch one:
% 14.43/3.77 | (574) all_0_127_127 = e23
% 14.43/3.77 |
% 14.43/3.77 | Equations (574) can reduce 20 to:
% 14.43/3.77 | (1917) ~ (all_0_128_128 = e23)
% 14.43/3.77 |
% 14.43/3.77 | Simplifying 1917 yields:
% 14.43/3.77 | (1918) ~ (all_0_128_128 = e23)
% 14.43/3.77 |
% 14.43/3.77 +-Applying beta-rule and splitting (1896), into two cases.
% 14.43/3.77 |-Branch one:
% 14.43/3.77 | (1919) all_0_128_128 = e23
% 14.43/3.77 |
% 14.43/3.77 | Equations (1919) can reduce 1918 to:
% 14.43/3.77 | (414) $false
% 14.43/3.77 |
% 14.43/3.77 |-The branch is then unsatisfiable
% 14.43/3.77 |-Branch two:
% 14.43/3.77 | (1918) ~ (all_0_128_128 = e23)
% 14.43/3.77 | (508) all_0_128_128 = e20
% 14.43/3.77 |
% 14.43/3.77 | Equations (508) can reduce 458 to:
% 14.43/3.77 | (414) $false
% 14.43/3.77 |
% 14.43/3.77 |-The branch is then unsatisfiable
% 14.43/3.77 |-Branch two:
% 14.43/3.77 | (1659) ~ (all_0_127_127 = e23)
% 14.43/3.77 | (1660) all_0_131_131 = e23 | all_0_134_134 = e23
% 14.43/3.77 |
% 14.43/3.77 +-Applying beta-rule and splitting (1660), into two cases.
% 14.43/3.77 |-Branch one:
% 14.43/3.77 | (452) all_0_131_131 = e23
% 14.43/3.77 |
% 14.43/3.77 | Equations (452) can reduce 418 to:
% 14.43/3.77 | (414) $false
% 14.43/3.77 |
% 14.43/3.77 |-The branch is then unsatisfiable
% 14.43/3.77 |-Branch two:
% 14.43/3.77 | (418) ~ (all_0_131_131 = e23)
% 14.43/3.77 | (1665) all_0_134_134 = e23
% 14.43/3.77 |
% 14.43/3.77 | Combining equations (1665,485) yields a new equation:
% 14.43/3.77 | (1930) e23 = e20
% 14.43/3.77 |
% 14.43/3.77 | Simplifying 1930 yields:
% 14.43/3.77 | (545) e23 = e20
% 14.43/3.77 |
% 14.43/3.77 | Equations (545) can reduce 278 to:
% 14.43/3.77 | (414) $false
% 14.43/3.77 |
% 14.43/3.77 |-The branch is then unsatisfiable
% 14.43/3.77 |-Branch two:
% 14.43/3.77 | (1668) ~ (all_0_133_133 = e23)
% 14.43/3.77 | (1669) all_0_133_133 = e20
% 14.43/3.77 |
% 14.43/3.77 | Equations (1669) can reduce 559 to:
% 14.43/3.77 | (414) $false
% 14.43/3.77 |
% 14.43/3.77 |-The branch is then unsatisfiable
% 14.43/3.77 |-Branch two:
% 14.43/3.77 | (426) ~ (all_0_122_122 = e22)
% 14.43/3.77 | (1937) all_0_123_123 = e22 | all_0_124_124 = e22
% 14.43/3.77 |
% 14.43/3.77 +-Applying beta-rule and splitting (148), into two cases.
% 14.43/3.77 |-Branch one:
% 14.43/3.77 | (472) all_0_122_122 = e22
% 14.43/3.77 |
% 14.43/3.77 | Equations (472) can reduce 426 to:
% 14.43/3.77 | (414) $false
% 14.43/3.77 |
% 14.43/3.77 |-The branch is then unsatisfiable
% 14.43/3.77 |-Branch two:
% 14.43/3.77 | (426) ~ (all_0_122_122 = e22)
% 14.43/3.77 | (475) all_0_126_126 = e22 | all_0_130_130 = e22
% 14.43/3.77 |
% 14.43/3.77 +-Applying beta-rule and splitting (262), into two cases.
% 14.43/3.77 |-Branch one:
% 14.43/3.77 | (472) all_0_122_122 = e22
% 14.43/3.77 |
% 14.43/3.77 | Equations (472) can reduce 426 to:
% 14.43/3.77 | (414) $false
% 14.43/3.77 |
% 14.43/3.77 |-The branch is then unsatisfiable
% 14.43/3.77 |-Branch two:
% 14.43/3.77 | (426) ~ (all_0_122_122 = e22)
% 14.43/3.77 | (1945) all_0_122_122 = e23 | all_0_122_122 = e21
% 14.43/3.77 |
% 14.43/3.77 +-Applying beta-rule and splitting (1945), into two cases.
% 14.43/3.77 |-Branch one:
% 14.43/3.77 | (466) all_0_122_122 = e21
% 14.43/3.77 |
% 14.43/3.77 | Equations (466) can reduce 464 to:
% 14.43/3.77 | (414) $false
% 14.43/3.77 |
% 14.43/3.77 |-The branch is then unsatisfiable
% 14.43/3.77 |-Branch two:
% 14.43/3.77 | (464) ~ (all_0_122_122 = e21)
% 14.43/3.77 | (1949) all_0_122_122 = e23
% 14.43/3.77 |
% 14.43/3.77 | Equations (1949) can reduce 491 to:
% 14.43/3.77 | (414) $false
% 14.43/3.77 |
% 14.43/3.77 |-The branch is then unsatisfiable
% 14.43/3.77 |-Branch two:
% 14.43/3.77 | (501) ~ (all_0_130_130 = e21)
% 14.43/3.77 | (524) all_0_131_131 = e21
% 14.43/3.77 |
% 14.43/3.77 | Equations (524) can reduce 443 to:
% 14.43/3.77 | (414) $false
% 14.43/3.77 |
% 14.43/3.77 |-The branch is then unsatisfiable
% 14.43/3.77 |-Branch two:
% 14.43/3.77 | (1954) ~ (all_0_125_125 = e21)
% 14.43/3.77 | (413) all_0_129_129 = e21
% 14.43/3.77 |
% 14.43/3.77 | Equations (413) can reduce 242 to:
% 14.43/3.77 | (1954) ~ (all_0_125_125 = e21)
% 14.43/3.77 |
% 14.43/3.77 | Equations (413) can reduce 286 to:
% 14.43/3.77 | (470) ~ (e22 = e21)
% 14.43/3.77 |
% 14.43/3.77 | Simplifying 470 yields:
% 14.43/3.77 | (254) ~ (e22 = e21)
% 14.43/3.77 |
% 14.43/3.77 | From (413) and (182) follows:
% 14.43/3.77 | (1959) op2(e21, e21) = all_0_97_97
% 14.43/3.77 |
% 14.43/3.77 +-Applying beta-rule and splitting (62), into two cases.
% 14.43/3.77 |-Branch one:
% 14.43/3.77 | (404) all_0_125_125 = e21
% 14.43/3.77 |
% 14.43/3.77 | Equations (404) can reduce 1954 to:
% 14.43/3.77 | (414) $false
% 14.43/3.77 |
% 14.43/3.77 |-The branch is then unsatisfiable
% 14.43/3.77 |-Branch two:
% 14.43/3.77 | (1954) ~ (all_0_125_125 = e21)
% 14.43/3.77 | (1829) all_0_125_125 = e23
% 14.43/3.77 |
% 14.43/3.77 | Equations (1829) can reduce 337 to:
% 14.43/3.77 | (1964) ~ (all_0_126_126 = e23)
% 14.43/3.77 |
% 14.43/3.77 | Simplifying 1964 yields:
% 14.43/3.77 | (1781) ~ (all_0_126_126 = e23)
% 14.43/3.77 |
% 14.43/3.77 | Equations (1829) can reduce 249 to:
% 14.43/3.77 | (1966) ~ (all_0_127_127 = e23)
% 14.43/3.77 |
% 14.43/3.77 | Simplifying 1966 yields:
% 14.43/3.77 | (1659) ~ (all_0_127_127 = e23)
% 14.43/3.77 |
% 14.43/3.77 | Equations (1829) can reduce 1954 to:
% 14.43/3.77 | (293) ~ (e23 = e21)
% 14.43/3.77 |
% 14.43/3.77 | From (1829) and (139) follows:
% 14.43/3.77 | (1969) op2(e23, e22) = all_0_96_96
% 14.43/3.77 |
% 14.43/3.77 | From (1829) and (263) follows:
% 14.43/3.77 | (1970) op2(e22, e23) = e23
% 14.43/3.77 |
% 14.43/3.77 | Instantiating formula (3) with e23, e22, all_0_96_96, all_0_122_122 and discharging atoms op2(e23, e22) = all_0_96_96, op2(e23, e22) = all_0_122_122, yields:
% 14.43/3.77 | (1971) all_0_96_96 = all_0_122_122
% 14.43/3.77 |
% 14.43/3.77 | Instantiating formula (3) with e21, e21, all_0_97_97, all_0_131_131 and discharging atoms op2(e21, e21) = all_0_97_97, op2(e21, e21) = all_0_131_131, yields:
% 14.43/3.78 | (1972) all_0_97_97 = all_0_131_131
% 14.43/3.78 |
% 14.43/3.78 | From (1972) and (1959) follows:
% 14.43/3.78 | (107) op2(e21, e21) = all_0_131_131
% 14.43/3.78 |
% 14.43/3.78 +-Applying beta-rule and splitting (203), into two cases.
% 14.43/3.78 |-Branch one:
% 14.43/3.78 | (466) all_0_122_122 = e21
% 14.43/3.78 |
% 14.43/3.78 | Combining equations (466,1971) yields a new equation:
% 14.43/3.78 | (1975) all_0_96_96 = e21
% 14.43/3.78 |
% 14.43/3.78 | Equations (466) can reduce 84 to:
% 14.43/3.78 | (1976) ~ (all_0_126_126 = e21)
% 14.43/3.78 |
% 14.43/3.78 | Simplifying 1976 yields:
% 14.43/3.78 | (1716) ~ (all_0_126_126 = e21)
% 14.43/3.78 |
% 14.43/3.78 +-Applying beta-rule and splitting (191), into two cases.
% 14.43/3.78 |-Branch one:
% 14.43/3.78 | (404) all_0_125_125 = e21
% 14.43/3.78 |
% 14.43/3.78 | Combining equations (1829,404) yields a new equation:
% 14.43/3.78 | (1709) e23 = e21
% 14.43/3.78 |
% 14.43/3.78 | Simplifying 1709 yields:
% 14.43/3.78 | (455) e23 = e21
% 14.43/3.78 |
% 14.43/3.78 | Equations (455) can reduce 293 to:
% 14.43/3.78 | (414) $false
% 14.43/3.78 |
% 14.43/3.78 |-The branch is then unsatisfiable
% 14.43/3.78 |-Branch two:
% 14.43/3.78 | (1954) ~ (all_0_125_125 = e21)
% 14.43/3.78 | (1983) all_0_126_126 = e21 | all_0_127_127 = e21
% 14.43/3.78 |
% 14.43/3.78 +-Applying beta-rule and splitting (1983), into two cases.
% 14.43/3.78 |-Branch one:
% 14.43/3.78 | (442) all_0_126_126 = e21
% 14.43/3.78 |
% 14.43/3.78 | Equations (442) can reduce 1716 to:
% 14.43/3.78 | (414) $false
% 14.43/3.78 |
% 14.43/3.78 |-The branch is then unsatisfiable
% 14.43/3.78 |-Branch two:
% 14.43/3.78 | (1716) ~ (all_0_126_126 = e21)
% 14.43/3.78 | (521) all_0_127_127 = e21
% 14.43/3.78 |
% 14.43/3.78 | Equations (521) can reduce 180 to:
% 14.43/3.78 | (454) ~ (all_0_123_123 = e21)
% 14.43/3.78 |
% 14.43/3.78 | Equations (521) can reduce 340 to:
% 14.43/3.78 | (1716) ~ (all_0_126_126 = e21)
% 14.43/3.78 |
% 14.43/3.78 | Equations (521) can reduce 20 to:
% 14.43/3.78 | (407) ~ (all_0_128_128 = e21)
% 14.43/3.78 |
% 14.43/3.78 | Simplifying 407 yields:
% 14.43/3.78 | (342) ~ (all_0_128_128 = e21)
% 14.43/3.78 |
% 14.43/3.78 | Equations (521) can reduce 234 to:
% 14.43/3.78 | (1703) ~ (all_0_131_131 = e21)
% 14.43/3.78 |
% 14.43/3.78 | Simplifying 1703 yields:
% 14.43/3.78 | (443) ~ (all_0_131_131 = e21)
% 14.43/3.78 |
% 14.43/3.78 | Equations (521) can reduce 359 to:
% 14.43/3.78 | (1994) ~ (all_0_134_134 = e21)
% 14.43/3.78 |
% 14.43/3.78 | Simplifying 1994 yields:
% 14.43/3.78 | (106) ~ (all_0_134_134 = e21)
% 14.43/3.78 |
% 14.43/3.78 | Equations (521) can reduce 1659 to:
% 14.43/3.78 | (1705) ~ (e23 = e21)
% 14.43/3.78 |
% 14.43/3.78 | Simplifying 1705 yields:
% 14.43/3.78 | (293) ~ (e23 = e21)
% 14.43/3.78 |
% 14.43/3.78 | From (521) and (355) follows:
% 14.43/3.78 | (1998) op2(e21, e22) = all_0_103_103
% 14.43/3.78 |
% 14.43/3.78 +-Applying beta-rule and splitting (12), into two cases.
% 14.43/3.78 |-Branch one:
% 14.43/3.78 | (448) all_0_128_128 = e22
% 14.43/3.78 |
% 14.43/3.78 | Equations (448) can reduce 317 to:
% 14.43/3.78 | (489) ~ (all_0_124_124 = e22)
% 14.43/3.78 |
% 14.43/3.78 | Equations (448) can reduce 94 to:
% 14.43/3.78 | (461) ~ (all_0_126_126 = e22)
% 14.43/3.78 |
% 14.43/3.78 | Equations (448) can reduce 342 to:
% 14.43/3.78 | (254) ~ (e22 = e21)
% 14.43/3.78 |
% 14.43/3.78 +-Applying beta-rule and splitting (228), into two cases.
% 14.43/3.78 |-Branch one:
% 14.43/3.78 | (508) all_0_128_128 = e20
% 14.43/3.78 |
% 14.43/3.78 | Combining equations (448,508) yields a new equation:
% 14.43/3.78 | (509) e22 = e20
% 14.43/3.78 |
% 14.43/3.78 | Simplifying 509 yields:
% 14.43/3.78 | (510) e22 = e20
% 14.43/3.78 |
% 14.43/3.78 | Equations (510) can reduce 123 to:
% 14.43/3.78 | (414) $false
% 14.43/3.78 |
% 14.43/3.78 |-The branch is then unsatisfiable
% 14.43/3.78 |-Branch two:
% 14.43/3.78 | (458) ~ (all_0_128_128 = e20)
% 14.43/3.78 | (513) all_0_132_132 = e20
% 14.43/3.78 |
% 14.43/3.78 | Equations (513) can reduce 347 to:
% 14.43/3.78 | (2009) ~ (all_0_131_131 = e20)
% 14.43/3.78 |
% 14.43/3.78 | From (513)(513) and (93) follows:
% 14.43/3.78 | (2010) op2(e20, e20) = all_0_76_76
% 14.43/3.78 |
% 14.43/3.78 | From (513) and (210) follows:
% 14.43/3.78 | (2011) op2(e20, e20) = all_0_74_74
% 14.43/3.78 |
% 14.43/3.78 | From (513) and (54) follows:
% 14.43/3.78 | (2012) op2(e20, e20) = all_0_69_69
% 14.43/3.78 |
% 14.43/3.78 +-Applying beta-rule and splitting (351), into two cases.
% 14.43/3.78 |-Branch one:
% 14.43/3.78 | (425) all_0_124_124 = e22
% 14.43/3.78 |
% 14.43/3.78 | Equations (425) can reduce 489 to:
% 14.43/3.78 | (414) $false
% 14.43/3.78 |
% 14.43/3.78 |-The branch is then unsatisfiable
% 14.43/3.78 |-Branch two:
% 14.43/3.78 | (489) ~ (all_0_124_124 = e22)
% 14.43/3.78 | (429) all_0_124_124 = e23
% 14.43/3.78 |
% 14.43/3.78 | Equations (429) can reduce 489 to:
% 14.43/3.78 | (40) ~ (e23 = e22)
% 14.43/3.78 |
% 14.43/3.78 +-Applying beta-rule and splitting (59), into two cases.
% 14.43/3.78 |-Branch one:
% 14.43/3.78 | (472) all_0_122_122 = e22
% 14.43/3.78 |
% 14.43/3.78 | Combining equations (466,472) yields a new equation:
% 14.43/3.78 | (480) e22 = e21
% 14.43/3.78 |
% 14.43/3.78 | Equations (480) can reduce 254 to:
% 14.43/3.78 | (414) $false
% 14.43/3.78 |
% 14.43/3.78 |-The branch is then unsatisfiable
% 14.43/3.78 |-Branch two:
% 14.43/3.78 | (426) ~ (all_0_122_122 = e22)
% 14.43/3.78 | (1937) all_0_123_123 = e22 | all_0_124_124 = e22
% 14.43/3.78 |
% 14.43/3.78 | Equations (466) can reduce 426 to:
% 14.43/3.78 | (470) ~ (e22 = e21)
% 14.43/3.78 |
% 14.43/3.78 | Simplifying 470 yields:
% 14.43/3.78 | (254) ~ (e22 = e21)
% 14.43/3.78 |
% 14.43/3.78 +-Applying beta-rule and splitting (148), into two cases.
% 14.43/3.78 |-Branch one:
% 14.43/3.78 | (472) all_0_122_122 = e22
% 14.43/3.78 |
% 14.43/3.78 | Combining equations (466,472) yields a new equation:
% 14.43/3.78 | (480) e22 = e21
% 14.43/3.78 |
% 14.43/3.78 | Equations (480) can reduce 254 to:
% 14.43/3.78 | (414) $false
% 14.43/3.78 |
% 14.43/3.78 |-The branch is then unsatisfiable
% 14.43/3.78 |-Branch two:
% 14.43/3.78 | (426) ~ (all_0_122_122 = e22)
% 14.43/3.78 | (475) all_0_126_126 = e22 | all_0_130_130 = e22
% 14.43/3.78 |
% 14.43/3.78 +-Applying beta-rule and splitting (475), into two cases.
% 14.43/3.78 |-Branch one:
% 14.43/3.78 | (476) all_0_126_126 = e22
% 14.43/3.78 |
% 14.43/3.78 | Equations (476) can reduce 461 to:
% 14.43/3.78 | (414) $false
% 14.43/3.78 |
% 14.43/3.78 |-The branch is then unsatisfiable
% 14.43/3.78 |-Branch two:
% 14.43/3.78 | (461) ~ (all_0_126_126 = e22)
% 14.43/3.78 | (479) all_0_130_130 = e22
% 14.43/3.78 |
% 14.43/3.78 | Equations (479) can reduce 388 to:
% 14.43/3.78 | (461) ~ (all_0_126_126 = e22)
% 14.43/3.78 |
% 14.43/3.78 | Equations (479) can reduce 33 to:
% 14.43/3.78 | (536) ~ (all_0_133_133 = e22)
% 14.43/3.78 |
% 14.43/3.78 | Simplifying 536 yields:
% 14.43/3.78 | (60) ~ (all_0_133_133 = e22)
% 14.43/3.78 |
% 14.43/3.78 | From (479) and (372) follows:
% 14.43/3.78 | (2037) op2(e21, e22) = e22
% 14.43/3.78 |
% 14.43/3.78 +-Applying beta-rule and splitting (1937), into two cases.
% 14.43/3.78 |-Branch one:
% 14.43/3.78 | (538) all_0_123_123 = e22
% 14.43/3.78 |
% 14.43/3.78 | Equations (538) can reduce 90 to:
% 14.43/3.78 | (2039) ~ (all_0_131_131 = e22)
% 14.43/3.78 |
% 14.43/3.78 | Simplifying 2039 yields:
% 14.43/3.78 | (1882) ~ (all_0_131_131 = e22)
% 14.43/3.78 |
% 14.43/3.78 | Equations (538) can reduce 454 to:
% 14.43/3.78 | (254) ~ (e22 = e21)
% 14.43/3.78 |
% 14.43/3.78 | From (538) and (296) follows:
% 14.43/3.78 | (2042) op2(e22, e23) = all_0_102_102
% 14.43/3.78 |
% 14.43/3.78 | From (538) and (64) follows:
% 14.43/3.78 | (2043) op2(e23, e21) = e22
% 14.43/3.78 |
% 14.43/3.78 +-Applying beta-rule and splitting (122), into two cases.
% 14.43/3.78 |-Branch one:
% 14.43/3.78 | (476) all_0_126_126 = e22
% 14.43/3.78 |
% 14.43/3.78 | Equations (476) can reduce 461 to:
% 14.43/3.78 | (414) $false
% 14.43/3.78 |
% 14.43/3.78 |-The branch is then unsatisfiable
% 14.43/3.78 |-Branch two:
% 14.43/3.78 | (461) ~ (all_0_126_126 = e22)
% 14.43/3.78 | (1746) all_0_126_126 = e23 | all_0_126_126 = e21 | all_0_126_126 = e20
% 14.43/3.78 |
% 14.43/3.78 +-Applying beta-rule and splitting (350), into two cases.
% 14.43/3.78 |-Branch one:
% 14.43/3.78 | (462) all_0_131_131 = e22
% 14.43/3.78 |
% 14.43/3.78 | Equations (462) can reduce 1882 to:
% 14.43/3.78 | (414) $false
% 14.43/3.78 |
% 14.43/3.78 |-The branch is then unsatisfiable
% 14.43/3.78 |-Branch two:
% 14.43/3.78 | (1882) ~ (all_0_131_131 = e22)
% 14.43/3.78 | (2051) all_0_131_131 = e23 | all_0_131_131 = e21 | all_0_131_131 = e20
% 14.43/3.78 |
% 14.43/3.78 +-Applying beta-rule and splitting (2051), into two cases.
% 14.43/3.78 |-Branch one:
% 14.43/3.78 | (524) all_0_131_131 = e21
% 14.43/3.78 |
% 14.43/3.78 | Equations (524) can reduce 443 to:
% 14.43/3.78 | (414) $false
% 14.43/3.78 |
% 14.43/3.78 |-The branch is then unsatisfiable
% 14.43/3.78 |-Branch two:
% 14.43/3.78 | (443) ~ (all_0_131_131 = e21)
% 14.43/3.78 | (2055) all_0_131_131 = e23 | all_0_131_131 = e20
% 14.43/3.78 |
% 14.43/3.78 +-Applying beta-rule and splitting (2055), into two cases.
% 14.43/3.78 |-Branch one:
% 14.43/3.78 | (452) all_0_131_131 = e23
% 14.43/3.78 |
% 14.43/3.78 | From (452) and (297) follows:
% 14.43/3.78 | (2057) op2(e23, e21) = all_0_104_104
% 14.43/3.78 |
% 14.43/3.78 +-Applying beta-rule and splitting (1746), into two cases.
% 14.43/3.78 |-Branch one:
% 14.43/3.78 | (442) all_0_126_126 = e21
% 14.43/3.78 |
% 14.43/3.78 | Equations (442) can reduce 1716 to:
% 14.43/3.78 | (414) $false
% 14.43/3.78 |
% 14.43/3.78 |-The branch is then unsatisfiable
% 14.43/3.78 |-Branch two:
% 14.43/3.78 | (1716) ~ (all_0_126_126 = e21)
% 14.43/3.78 | (1750) all_0_126_126 = e23 | all_0_126_126 = e20
% 14.43/3.78 |
% 14.43/3.78 +-Applying beta-rule and splitting (1750), into two cases.
% 14.43/3.78 |-Branch one:
% 14.43/3.78 | (1751) all_0_126_126 = e23
% 14.43/3.78 |
% 14.43/3.78 | Equations (1751) can reduce 1781 to:
% 14.43/3.78 | (414) $false
% 14.43/3.78 |
% 14.43/3.78 |-The branch is then unsatisfiable
% 14.43/3.78 |-Branch two:
% 14.43/3.78 | (1781) ~ (all_0_126_126 = e23)
% 14.43/3.78 | (447) all_0_126_126 = e20
% 14.43/3.78 |
% 14.43/3.78 | Equations (447) can reduce 184 to:
% 14.43/3.78 | (563) ~ (all_0_133_133 = e20)
% 14.43/3.78 |
% 14.43/3.78 | Simplifying 563 yields:
% 14.43/3.78 | (559) ~ (all_0_133_133 = e20)
% 14.43/3.78 |
% 14.43/3.78 | From (447)(447) and (30) follows:
% 14.43/3.78 | (1807) op2(e20, e20) = all_0_94_94
% 14.43/3.78 |
% 14.43/3.78 +-Applying beta-rule and splitting (73), into two cases.
% 14.43/3.78 |-Branch one:
% 14.43/3.78 | (565) all_0_133_133 = e23
% 14.43/3.78 |
% 14.43/3.78 | Equations (565) can reduce 68 to:
% 14.43/3.78 | (2070) ~ (all_0_134_134 = e23)
% 14.43/3.78 |
% 14.43/3.78 | Simplifying 2070 yields:
% 14.43/3.78 | (1784) ~ (all_0_134_134 = e23)
% 14.43/3.78 |
% 14.43/3.78 | Equations (565) can reduce 60 to:
% 14.43/3.78 | (40) ~ (e23 = e22)
% 14.43/3.78 |
% 14.43/3.78 +-Applying beta-rule and splitting (376), into two cases.
% 14.43/3.78 |-Branch one:
% 14.43/3.78 | (1665) all_0_134_134 = e23
% 14.43/3.78 |
% 14.43/3.78 | Equations (1665) can reduce 1784 to:
% 14.43/3.78 | (414) $false
% 14.43/3.78 |
% 14.43/3.78 |-The branch is then unsatisfiable
% 14.43/3.78 |-Branch two:
% 14.43/3.78 | (1784) ~ (all_0_134_134 = e23)
% 14.43/3.78 | (485) all_0_134_134 = e20
% 14.43/3.78 |
% 14.43/3.78 | Equations (485) can reduce 106 to:
% 14.43/3.78 | (1740) ~ (e21 = e20)
% 14.43/3.78 |
% 14.43/3.79 | Simplifying 1740 yields:
% 14.43/3.79 | (339) ~ (e21 = e20)
% 14.43/3.79 |
% 14.43/3.79 | From (485) and (49) follows:
% 14.43/3.79 | (1787) op2(e20, e20) = all_0_105_105
% 14.43/3.79 |
% 14.43/3.79 | Instantiating formula (3) with e23, e21, e22, all_0_104_104 and discharging atoms op2(e23, e21) = all_0_104_104, op2(e23, e21) = e22, yields:
% 14.43/3.79 | (2080) all_0_104_104 = e22
% 14.43/3.79 |
% 14.43/3.79 | Instantiating formula (3) with e22, e23, all_0_102_102, e23 and discharging atoms op2(e22, e23) = all_0_102_102, op2(e22, e23) = e23, yields:
% 14.43/3.79 | (1731) all_0_102_102 = e23
% 14.43/3.79 |
% 14.43/3.79 | Instantiating formula (3) with e21, e22, e22, all_0_103_103 and discharging atoms op2(e21, e22) = all_0_103_103, op2(e21, e22) = e22, yields:
% 14.43/3.79 | (1851) all_0_103_103 = e22
% 14.43/3.79 |
% 14.43/3.79 | Instantiating formula (3) with e20, e20, all_0_69_69, e21 and discharging atoms op2(e20, e20) = all_0_69_69, op2(e20, e20) = e21, yields:
% 14.43/3.79 | (2083) all_0_69_69 = e21
% 14.43/3.79 |
% 14.43/3.79 | Instantiating formula (3) with e20, e20, all_0_74_74, all_0_69_69 and discharging atoms op2(e20, e20) = all_0_69_69, op2(e20, e20) = all_0_74_74, yields:
% 14.43/3.79 | (2084) all_0_69_69 = all_0_74_74
% 14.43/3.79 |
% 14.43/3.79 | Instantiating formula (3) with e20, e20, all_0_76_76, all_0_74_74 and discharging atoms op2(e20, e20) = all_0_74_74, op2(e20, e20) = all_0_76_76, yields:
% 14.43/3.79 | (2085) all_0_74_74 = all_0_76_76
% 14.43/3.79 |
% 14.43/3.79 | Instantiating formula (3) with e20, e20, all_0_94_94, all_0_74_74 and discharging atoms op2(e20, e20) = all_0_74_74, op2(e20, e20) = all_0_94_94, yields:
% 14.43/3.79 | (2086) all_0_74_74 = all_0_94_94
% 14.43/3.79 |
% 14.43/3.79 | Instantiating formula (3) with e20, e20, all_0_105_105, all_0_94_94 and discharging atoms op2(e20, e20) = all_0_94_94, op2(e20, e20) = all_0_105_105, yields:
% 14.43/3.79 | (1854) all_0_94_94 = all_0_105_105
% 14.43/3.79 |
% 14.43/3.79 | Combining equations (2084,2083) yields a new equation:
% 14.43/3.79 | (2088) all_0_74_74 = e21
% 14.43/3.79 |
% 14.43/3.79 | Simplifying 2088 yields:
% 14.43/3.79 | (2089) all_0_74_74 = e21
% 14.43/3.79 |
% 14.43/3.79 | Combining equations (2086,2085) yields a new equation:
% 14.43/3.79 | (2090) all_0_76_76 = all_0_94_94
% 14.43/3.79 |
% 14.43/3.79 | Combining equations (2089,2085) yields a new equation:
% 14.43/3.79 | (2091) all_0_76_76 = e21
% 14.43/3.79 |
% 14.43/3.79 | Combining equations (2090,2091) yields a new equation:
% 14.43/3.79 | (2092) all_0_94_94 = e21
% 14.43/3.79 |
% 14.43/3.79 | Simplifying 2092 yields:
% 14.43/3.79 | (1853) all_0_94_94 = e21
% 14.43/3.79 |
% 14.43/3.79 | Combining equations (1854,1853) yields a new equation:
% 14.43/3.79 | (2094) all_0_105_105 = e21
% 14.43/3.79 |
% 14.43/3.79 | Simplifying 2094 yields:
% 14.43/3.79 | (1855) all_0_105_105 = e21
% 14.43/3.79 |
% 14.43/3.79 +-Applying beta-rule and splitting (110), into two cases.
% 14.43/3.79 |-Branch one:
% 14.43/3.79 | (1856) all_0_102_102 = all_0_123_123
% 14.43/3.79 |
% 14.43/3.79 | Combining equations (1731,1856) yields a new equation:
% 14.43/3.79 | (569) all_0_123_123 = e23
% 14.43/3.79 |
% 14.43/3.79 | Combining equations (569,538) yields a new equation:
% 14.43/3.79 | (430) e23 = e22
% 14.43/3.79 |
% 14.43/3.79 | Simplifying 430 yields:
% 14.43/3.79 | (431) e23 = e22
% 14.43/3.79 |
% 14.43/3.79 | Equations (431) can reduce 40 to:
% 14.43/3.79 | (414) $false
% 14.43/3.79 |
% 14.43/3.79 |-The branch is then unsatisfiable
% 14.43/3.79 |-Branch two:
% 14.43/3.79 | (1861) ~ (all_0_102_102 = all_0_123_123)
% 14.43/3.79 | (1862) all_0_103_103 = all_0_127_127 | all_0_104_104 = all_0_131_131 | all_0_105_105 = all_0_134_134
% 14.43/3.79 |
% 14.43/3.79 | Equations (1731,538) can reduce 1861 to:
% 14.43/3.79 | (40) ~ (e23 = e22)
% 14.43/3.79 |
% 14.43/3.79 +-Applying beta-rule and splitting (1862), into two cases.
% 14.43/3.79 |-Branch one:
% 14.43/3.79 | (1863) all_0_103_103 = all_0_127_127
% 14.43/3.79 |
% 14.43/3.79 | Combining equations (1851,1863) yields a new equation:
% 14.43/3.79 | (440) all_0_127_127 = e22
% 14.43/3.79 |
% 14.43/3.79 | Combining equations (440,521) yields a new equation:
% 14.43/3.79 | (1758) e22 = e21
% 14.43/3.79 |
% 14.43/3.79 | Simplifying 1758 yields:
% 14.43/3.79 | (480) e22 = e21
% 14.43/3.79 |
% 14.43/3.79 | Equations (480) can reduce 254 to:
% 14.43/3.79 | (414) $false
% 14.43/3.79 |
% 14.43/3.79 |-The branch is then unsatisfiable
% 14.43/3.79 |-Branch two:
% 14.43/3.79 | (1868) ~ (all_0_103_103 = all_0_127_127)
% 14.43/3.79 | (1869) all_0_104_104 = all_0_131_131 | all_0_105_105 = all_0_134_134
% 14.43/3.79 |
% 14.43/3.79 +-Applying beta-rule and splitting (1869), into two cases.
% 14.43/3.79 |-Branch one:
% 14.43/3.79 | (1872) all_0_104_104 = all_0_131_131
% 14.43/3.79 |
% 14.43/3.79 | Combining equations (2080,1872) yields a new equation:
% 14.43/3.79 | (462) all_0_131_131 = e22
% 14.43/3.79 |
% 14.43/3.79 | Combining equations (452,462) yields a new equation:
% 14.43/3.79 | (430) e23 = e22
% 14.43/3.79 |
% 14.43/3.79 | Simplifying 430 yields:
% 14.43/3.79 | (431) e23 = e22
% 14.43/3.79 |
% 14.43/3.79 | Equations (431) can reduce 40 to:
% 14.43/3.79 | (414) $false
% 14.43/3.79 |
% 14.43/3.79 |-The branch is then unsatisfiable
% 14.43/3.79 |-Branch two:
% 14.43/3.79 | (1876) ~ (all_0_104_104 = all_0_131_131)
% 14.43/3.79 | (1877) all_0_105_105 = all_0_134_134
% 14.43/3.79 |
% 14.43/3.79 | Combining equations (1855,1877) yields a new equation:
% 14.43/3.79 | (1878) all_0_134_134 = e21
% 14.43/3.79 |
% 14.43/3.79 | Combining equations (1878,485) yields a new equation:
% 14.43/3.79 | (1778) e21 = e20
% 14.43/3.79 |
% 14.43/3.79 | Simplifying 1778 yields:
% 14.43/3.79 | (1779) e21 = e20
% 14.43/3.79 |
% 14.43/3.79 | Equations (1779) can reduce 339 to:
% 14.43/3.79 | (414) $false
% 14.43/3.79 |
% 14.43/3.79 |-The branch is then unsatisfiable
% 14.43/3.79 |-Branch two:
% 14.43/3.79 | (1668) ~ (all_0_133_133 = e23)
% 14.43/3.79 | (1669) all_0_133_133 = e20
% 14.43/3.79 |
% 14.43/3.79 | Equations (1669) can reduce 559 to:
% 14.43/3.79 | (414) $false
% 14.43/3.79 |
% 14.43/3.79 |-The branch is then unsatisfiable
% 14.43/3.79 |-Branch two:
% 14.43/3.79 | (418) ~ (all_0_131_131 = e23)
% 14.43/3.79 | (2126) all_0_131_131 = e20
% 14.43/3.79 |
% 14.43/3.79 | Equations (2126) can reduce 2009 to:
% 14.43/3.79 | (414) $false
% 14.43/3.79 |
% 14.43/3.79 |-The branch is then unsatisfiable
% 14.43/3.79 |-Branch two:
% 14.43/3.79 | (465) ~ (all_0_123_123 = e22)
% 14.43/3.79 | (425) all_0_124_124 = e22
% 14.43/3.79 |
% 14.43/3.79 | Combining equations (429,425) yields a new equation:
% 14.43/3.79 | (430) e23 = e22
% 14.43/3.79 |
% 14.43/3.79 | Simplifying 430 yields:
% 14.43/3.79 | (431) e23 = e22
% 14.43/3.79 |
% 14.43/3.79 | Equations (431) can reduce 40 to:
% 14.43/3.79 | (414) $false
% 14.43/3.79 |
% 14.43/3.79 |-The branch is then unsatisfiable
% 14.43/3.79 |-Branch two:
% 14.43/3.79 | (428) ~ (all_0_128_128 = e22)
% 14.43/3.79 | (1688) all_0_96_96 = all_0_125_125 | all_0_97_97 = all_0_129_129
% 14.43/3.79 |
% 14.43/3.79 +-Applying beta-rule and splitting (1688), into two cases.
% 14.43/3.79 |-Branch one:
% 14.43/3.79 | (1689) all_0_96_96 = all_0_125_125
% 14.43/3.79 |
% 14.43/3.79 | Combining equations (1689,1975) yields a new equation:
% 14.43/3.79 | (2136) all_0_125_125 = e21
% 14.43/3.79 |
% 14.43/3.79 | Simplifying 2136 yields:
% 14.43/3.79 | (404) all_0_125_125 = e21
% 14.43/3.79 |
% 14.43/3.79 | Combining equations (404,1829) yields a new equation:
% 14.43/3.79 | (455) e23 = e21
% 14.43/3.79 |
% 14.43/3.79 | Equations (455) can reduce 293 to:
% 14.43/3.79 | (414) $false
% 14.43/3.79 |
% 14.43/3.79 |-The branch is then unsatisfiable
% 14.43/3.79 |-Branch two:
% 14.43/3.79 | (1693) ~ (all_0_96_96 = all_0_125_125)
% 14.43/3.79 | (1694) all_0_97_97 = all_0_129_129
% 14.43/3.79 |
% 14.43/3.79 | Combining equations (1972,1694) yields a new equation:
% 14.43/3.79 | (2142) all_0_129_129 = all_0_131_131
% 14.43/3.79 |
% 14.43/3.79 | Combining equations (2142,413) yields a new equation:
% 14.43/3.79 | (2143) all_0_131_131 = e21
% 14.43/3.79 |
% 14.43/3.79 | Simplifying 2143 yields:
% 14.43/3.79 | (524) all_0_131_131 = e21
% 14.43/3.79 |
% 14.43/3.79 | Equations (524) can reduce 443 to:
% 14.43/3.79 | (414) $false
% 14.43/3.79 |
% 14.43/3.79 |-The branch is then unsatisfiable
% 14.43/3.80 |-Branch two:
% 14.43/3.80 | (464) ~ (all_0_122_122 = e21)
% 14.43/3.80 | (469) all_0_123_123 = e21
% 14.43/3.80 |
% 14.43/3.80 | Equations (469) can reduce 97 to:
% 14.43/3.80 | (2148) ~ (all_0_124_124 = e21)
% 14.43/3.80 |
% 14.43/3.80 | Simplifying 2148 yields:
% 14.43/3.80 | (366) ~ (all_0_124_124 = e21)
% 14.43/3.80 |
% 14.43/3.80 | Equations (469) can reduce 180 to:
% 14.43/3.80 | (405) ~ (all_0_127_127 = e21)
% 14.43/3.80 |
% 14.43/3.80 | Simplifying 405 yields:
% 14.43/3.80 | (406) ~ (all_0_127_127 = e21)
% 14.43/3.80 |
% 14.43/3.80 | Equations (469) can reduce 90 to:
% 14.43/3.80 | (1703) ~ (all_0_131_131 = e21)
% 14.43/3.80 |
% 14.43/3.80 | Simplifying 1703 yields:
% 14.43/3.80 | (443) ~ (all_0_131_131 = e21)
% 14.43/3.80 |
% 14.43/3.80 | Equations (469) can reduce 361 to:
% 14.43/3.80 | (1994) ~ (all_0_134_134 = e21)
% 14.43/3.80 |
% 14.43/3.80 | Simplifying 1994 yields:
% 14.43/3.80 | (106) ~ (all_0_134_134 = e21)
% 14.43/3.80 |
% 14.43/3.80 +-Applying beta-rule and splitting (191), into two cases.
% 14.43/3.80 |-Branch one:
% 14.43/3.80 | (404) all_0_125_125 = e21
% 14.43/3.80 |
% 14.43/3.80 | Combining equations (1829,404) yields a new equation:
% 14.43/3.80 | (1709) e23 = e21
% 14.43/3.80 |
% 14.43/3.80 | Simplifying 1709 yields:
% 14.43/3.80 | (455) e23 = e21
% 14.43/3.80 |
% 14.43/3.80 | Equations (455) can reduce 293 to:
% 14.43/3.80 | (414) $false
% 14.43/3.80 |
% 14.43/3.80 |-The branch is then unsatisfiable
% 14.43/3.80 |-Branch two:
% 14.43/3.80 | (1954) ~ (all_0_125_125 = e21)
% 14.43/3.80 | (1983) all_0_126_126 = e21 | all_0_127_127 = e21
% 14.43/3.80 |
% 14.43/3.80 +-Applying beta-rule and splitting (1983), into two cases.
% 14.43/3.80 |-Branch one:
% 14.43/3.80 | (442) all_0_126_126 = e21
% 14.43/3.80 |
% 14.43/3.80 | Equations (442) can reduce 84 to:
% 14.43/3.80 | (464) ~ (all_0_122_122 = e21)
% 14.43/3.80 |
% 14.43/3.80 | Equations (442) can reduce 340 to:
% 14.43/3.80 | (405) ~ (all_0_127_127 = e21)
% 14.43/3.80 |
% 14.43/3.80 | Simplifying 405 yields:
% 14.43/3.80 | (406) ~ (all_0_127_127 = e21)
% 14.43/3.80 |
% 14.43/3.80 | Equations (442) can reduce 388 to:
% 14.43/3.80 | (500) ~ (all_0_130_130 = e21)
% 14.43/3.80 |
% 14.43/3.80 | Simplifying 500 yields:
% 14.43/3.80 | (501) ~ (all_0_130_130 = e21)
% 14.43/3.80 |
% 14.43/3.80 | Equations (442) can reduce 184 to:
% 14.43/3.80 | (502) ~ (all_0_133_133 = e21)
% 14.43/3.80 |
% 14.43/3.80 | Simplifying 502 yields:
% 14.43/3.80 | (312) ~ (all_0_133_133 = e21)
% 14.43/3.80 |
% 14.43/3.80 | Equations (442) can reduce 1781 to:
% 14.43/3.80 | (1705) ~ (e23 = e21)
% 14.43/3.80 |
% 14.43/3.80 | Simplifying 1705 yields:
% 14.43/3.80 | (293) ~ (e23 = e21)
% 14.43/3.80 |
% 14.43/3.80 | From (442)(442) and (30) follows:
% 14.43/3.80 | (2172) op2(e21, e21) = all_0_94_94
% 14.43/3.80 |
% 14.43/3.80 | From (442) and (204) follows:
% 14.43/3.80 | (2173) op2(e21, e22) = all_0_99_99
% 14.43/3.80 |
% 14.43/3.80 | From (442) and (37) follows:
% 14.43/3.80 | (2174) op2(e22, e22) = e21
% 14.43/3.80 |
% 14.43/3.80 | Instantiating formula (3) with e21, e22, all_0_99_99, all_0_130_130 and discharging atoms op2(e21, e22) = all_0_99_99, op2(e21, e22) = all_0_130_130, yields:
% 14.43/3.80 | (2175) all_0_99_99 = all_0_130_130
% 14.43/3.80 |
% 14.43/3.80 | Instantiating formula (3) with e21, e21, all_0_94_94, all_0_131_131 and discharging atoms op2(e21, e21) = all_0_94_94, op2(e21, e21) = all_0_131_131, yields:
% 14.43/3.80 | (2176) all_0_94_94 = all_0_131_131
% 14.43/3.80 |
% 14.43/3.80 | From (2176)(2176) and (300) follows:
% 14.43/3.80 | (2177) op2(all_0_131_131, all_0_131_131) = all_0_31_31
% 14.43/3.80 |
% 14.43/3.80 | From (2176) and (178) follows:
% 14.43/3.80 | (2178) op2(all_0_131_131, e22) = all_0_27_27
% 14.43/3.80 |
% 14.43/3.80 | From (2175)(2175) and (131) follows:
% 14.43/3.80 | (2179) op2(all_0_130_130, all_0_130_130) = all_0_21_21
% 14.43/3.80 |
% 14.43/3.80 | From (2176) and (201) follows:
% 14.43/3.80 | (2180) op2(e22, all_0_131_131) = all_0_15_15
% 14.43/3.80 |
% 14.43/3.80 | Instantiating formula (3) with all_0_131_131, all_0_131_131, all_0_31_31, all_0_95_95 and discharging atoms op2(all_0_131_131, all_0_131_131) = all_0_31_31, op2(all_0_131_131, all_0_131_131) = all_0_95_95, yields:
% 14.43/3.80 | (2181) all_0_31_31 = all_0_95_95
% 14.43/3.80 |
% 14.43/3.80 | From (2181) and (2177) follows:
% 14.43/3.80 | (48) op2(all_0_131_131, all_0_131_131) = all_0_95_95
% 14.43/3.80 |
% 14.43/3.80 +-Applying beta-rule and splitting (351), into two cases.
% 14.43/3.80 |-Branch one:
% 14.43/3.80 | (425) all_0_124_124 = e22
% 14.43/3.80 |
% 14.43/3.80 | Equations (425) can reduce 324 to:
% 14.43/3.80 | (426) ~ (all_0_122_122 = e22)
% 14.43/3.80 |
% 14.43/3.80 | Equations (425) can reduce 317 to:
% 14.43/3.80 | (427) ~ (all_0_128_128 = e22)
% 14.43/3.80 |
% 14.43/3.80 | Simplifying 427 yields:
% 14.43/3.80 | (428) ~ (all_0_128_128 = e22)
% 14.43/3.80 |
% 14.43/3.80 | Equations (425) can reduce 366 to:
% 14.43/3.80 | (254) ~ (e22 = e21)
% 14.43/3.80 |
% 14.43/3.80 +-Applying beta-rule and splitting (133), into two cases.
% 14.43/3.80 |-Branch one:
% 14.43/3.80 | (476) all_0_126_126 = e22
% 14.43/3.80 |
% 14.43/3.80 | Combining equations (476,442) yields a new equation:
% 14.43/3.80 | (1758) e22 = e21
% 14.43/3.80 |
% 14.43/3.80 | Simplifying 1758 yields:
% 14.43/3.80 | (480) e22 = e21
% 14.43/3.80 |
% 14.43/3.80 | Equations (480) can reduce 254 to:
% 14.43/3.80 | (414) $false
% 14.43/3.80 |
% 14.43/3.80 |-The branch is then unsatisfiable
% 14.43/3.80 |-Branch two:
% 14.43/3.80 | (461) ~ (all_0_126_126 = e22)
% 14.43/3.80 | (2193) all_0_127_127 = e22 | all_0_128_128 = e22
% 14.43/3.80 |
% 14.43/3.80 +-Applying beta-rule and splitting (2193), into two cases.
% 14.43/3.80 |-Branch one:
% 14.43/3.80 | (440) all_0_127_127 = e22
% 14.43/3.80 |
% 14.43/3.80 | Equations (440) can reduce 359 to:
% 14.43/3.80 | (539) ~ (all_0_134_134 = e22)
% 14.43/3.80 |
% 14.43/3.80 | Simplifying 539 yields:
% 14.43/3.80 | (52) ~ (all_0_134_134 = e22)
% 14.43/3.80 |
% 14.43/3.80 | Equations (440) can reduce 1659 to:
% 14.43/3.80 | (1848) ~ (e23 = e22)
% 14.43/3.80 |
% 14.43/3.80 | Simplifying 1848 yields:
% 14.43/3.80 | (40) ~ (e23 = e22)
% 14.43/3.80 |
% 14.43/3.80 | Equations (440) can reduce 406 to:
% 14.43/3.80 | (254) ~ (e22 = e21)
% 14.43/3.80 |
% 14.43/3.80 +-Applying beta-rule and splitting (83), into two cases.
% 14.43/3.80 |-Branch one:
% 14.43/3.80 | (1949) all_0_122_122 = e23
% 14.43/3.80 |
% 14.43/3.80 | Equations (1949) can reduce 69 to:
% 14.43/3.80 | (2201) ~ (all_0_133_133 = e23)
% 14.43/3.80 |
% 14.43/3.80 | Simplifying 2201 yields:
% 14.43/3.80 | (1668) ~ (all_0_133_133 = e23)
% 14.43/3.80 |
% 14.43/3.80 | Equations (1949) can reduce 426 to:
% 14.43/3.80 | (40) ~ (e23 = e22)
% 14.43/3.80 |
% 14.43/3.80 +-Applying beta-rule and splitting (88), into two cases.
% 14.43/3.80 |-Branch one:
% 14.43/3.80 | (429) all_0_124_124 = e23
% 14.43/3.80 |
% 14.43/3.80 | Combining equations (425,429) yields a new equation:
% 14.43/3.80 | (431) e23 = e22
% 14.43/3.80 |
% 14.43/3.80 | Equations (431) can reduce 40 to:
% 14.43/3.80 | (414) $false
% 14.43/3.80 |
% 14.43/3.80 |-The branch is then unsatisfiable
% 14.43/3.80 |-Branch two:
% 14.43/3.80 | (433) ~ (all_0_124_124 = e23)
% 14.43/3.80 | (2208) all_0_128_128 = e23 | all_0_132_132 = e23
% 14.43/3.80 |
% 14.43/3.80 | Equations (425) can reduce 433 to:
% 14.43/3.80 | (1848) ~ (e23 = e22)
% 14.43/3.80 |
% 14.43/3.80 | Simplifying 1848 yields:
% 14.43/3.80 | (40) ~ (e23 = e22)
% 14.43/3.80 |
% 14.43/3.80 +-Applying beta-rule and splitting (96), into two cases.
% 14.43/3.80 |-Branch one:
% 14.43/3.80 | (429) all_0_124_124 = e23
% 14.43/3.80 |
% 14.43/3.80 | Combining equations (425,429) yields a new equation:
% 14.43/3.80 | (431) e23 = e22
% 14.43/3.80 |
% 14.43/3.80 | Equations (431) can reduce 40 to:
% 14.43/3.80 | (414) $false
% 14.43/3.80 |
% 14.43/3.80 |-The branch is then unsatisfiable
% 14.43/3.80 |-Branch two:
% 14.43/3.80 | (433) ~ (all_0_124_124 = e23)
% 14.43/3.80 | (434) (all_0_126_126 = e21 & all_0_127_127 = e22 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e21) & ~ (all_0_132_132 = e20)) | (all_0_126_126 = e20 & all_0_128_128 = e22) | (all_0_129_129 = e21 & all_0_131_131 = e23 & ~ (all_0_122_122 = e22) & ~ (all_0_123_123 = e21)) | (all_0_130_130 = e21 & all_0_131_131 = e22 & ~ (all_0_125_125 = e23) & ~ (all_0_126_126 = e22) & ~ (all_0_127_127 = e21) & ~ (all_0_128_128 = e20)) | (all_0_134_134 = e20 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e21) & ~ (all_0_132_132 = e20))
% 14.43/3.80 |
% 14.43/3.80 +-Applying beta-rule and splitting (73), into two cases.
% 14.43/3.80 |-Branch one:
% 14.43/3.80 | (565) all_0_133_133 = e23
% 14.43/3.80 |
% 14.43/3.80 | Equations (565) can reduce 1668 to:
% 14.43/3.80 | (414) $false
% 14.43/3.80 |
% 14.43/3.80 |-The branch is then unsatisfiable
% 14.43/3.80 |-Branch two:
% 14.43/3.80 | (1668) ~ (all_0_133_133 = e23)
% 14.43/3.80 | (1669) all_0_133_133 = e20
% 14.43/3.80 |
% 14.43/3.80 | Equations (1669) can reduce 68 to:
% 14.43/3.80 | (2220) ~ (all_0_134_134 = e20)
% 14.43/3.80 |
% 14.43/3.80 | Simplifying 2220 yields:
% 14.43/3.80 | (2221) ~ (all_0_134_134 = e20)
% 14.43/3.80 |
% 14.43/3.80 | Equations (1669) can reduce 312 to:
% 14.43/3.80 | (1740) ~ (e21 = e20)
% 14.43/3.80 |
% 14.43/3.80 | Simplifying 1740 yields:
% 14.43/3.80 | (339) ~ (e21 = e20)
% 14.43/3.80 |
% 14.43/3.80 +-Applying beta-rule and splitting (376), into two cases.
% 14.43/3.80 |-Branch one:
% 14.43/3.80 | (1665) all_0_134_134 = e23
% 14.43/3.80 |
% 14.43/3.80 | Equations (1665) can reduce 215 to:
% 14.43/3.80 | (418) ~ (all_0_131_131 = e23)
% 14.43/3.80 |
% 14.43/3.80 | Equations (1665) can reduce 52 to:
% 14.43/3.80 | (40) ~ (e23 = e22)
% 14.43/3.80 |
% 14.43/3.80 | Equations (1665) can reduce 2221 to:
% 14.43/3.80 | (278) ~ (e23 = e20)
% 14.43/3.80 |
% 14.43/3.80 +-Applying beta-rule and splitting (304), into two cases.
% 14.43/3.80 |-Branch one:
% 14.43/3.80 | (479) all_0_130_130 = e22
% 14.43/3.80 |
% 14.43/3.80 | Equations (479) can reduce 501 to:
% 14.43/3.80 | (254) ~ (e22 = e21)
% 14.43/3.80 |
% 14.43/3.80 +-Applying beta-rule and splitting (434), into two cases.
% 14.43/3.80 |-Branch one:
% 14.43/3.80 | (435) (all_0_126_126 = e21 & all_0_127_127 = e22 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e21) & ~ (all_0_132_132 = e20)) | (all_0_126_126 = e20 & all_0_128_128 = e22) | (all_0_129_129 = e21 & all_0_131_131 = e23 & ~ (all_0_122_122 = e22) & ~ (all_0_123_123 = e21)) | (all_0_130_130 = e21 & all_0_131_131 = e22 & ~ (all_0_125_125 = e23) & ~ (all_0_126_126 = e22) & ~ (all_0_127_127 = e21) & ~ (all_0_128_128 = e20))
% 14.43/3.81 |
% 14.43/3.81 +-Applying beta-rule and splitting (435), into two cases.
% 14.43/3.81 |-Branch one:
% 14.43/3.81 | (436) (all_0_126_126 = e21 & all_0_127_127 = e22 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e21) & ~ (all_0_132_132 = e20)) | (all_0_126_126 = e20 & all_0_128_128 = e22) | (all_0_129_129 = e21 & all_0_131_131 = e23 & ~ (all_0_122_122 = e22) & ~ (all_0_123_123 = e21))
% 14.43/3.81 |
% 14.43/3.81 +-Applying beta-rule and splitting (436), into two cases.
% 14.43/3.81 |-Branch one:
% 14.43/3.81 | (437) (all_0_126_126 = e21 & all_0_127_127 = e22 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e21) & ~ (all_0_132_132 = e20)) | (all_0_126_126 = e20 & all_0_128_128 = e22)
% 14.43/3.81 |
% 14.43/3.81 +-Applying beta-rule and splitting (437), into two cases.
% 14.43/3.81 |-Branch one:
% 14.43/3.81 | (438) all_0_126_126 = e21 & all_0_127_127 = e22 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e21) & ~ (all_0_132_132 = e20)
% 14.43/3.81 |
% 14.43/3.81 | Applying alpha-rule on (438) yields:
% 14.43/3.81 | (439) ~ (all_0_129_129 = e23)
% 14.43/3.81 | (440) all_0_127_127 = e22
% 14.43/3.81 | (441) ~ (all_0_132_132 = e20)
% 14.43/3.81 | (442) all_0_126_126 = e21
% 14.43/3.81 | (443) ~ (all_0_131_131 = e21)
% 14.43/3.81 | (444) ~ (all_0_130_130 = e22)
% 14.43/3.81 |
% 14.43/3.81 | Equations (479) can reduce 444 to:
% 14.43/3.81 | (414) $false
% 14.43/3.81 |
% 14.43/3.81 |-The branch is then unsatisfiable
% 14.43/3.81 |-Branch two:
% 14.43/3.81 | (446) all_0_126_126 = e20 & all_0_128_128 = e22
% 14.43/3.81 |
% 14.43/3.81 | Applying alpha-rule on (446) yields:
% 14.43/3.81 | (447) all_0_126_126 = e20
% 14.43/3.81 | (448) all_0_128_128 = e22
% 14.43/3.81 |
% 14.43/3.81 | Combining equations (447,442) yields a new equation:
% 14.43/3.81 | (1779) e21 = e20
% 14.43/3.81 |
% 14.43/3.81 | Equations (1779) can reduce 339 to:
% 14.43/3.81 | (414) $false
% 14.43/3.81 |
% 14.43/3.81 |-The branch is then unsatisfiable
% 14.43/3.81 |-Branch two:
% 14.43/3.81 | (450) all_0_129_129 = e21 & all_0_131_131 = e23 & ~ (all_0_122_122 = e22) & ~ (all_0_123_123 = e21)
% 14.43/3.81 |
% 14.43/3.81 | Applying alpha-rule on (450) yields:
% 14.43/3.81 | (413) all_0_129_129 = e21
% 14.43/3.81 | (452) all_0_131_131 = e23
% 14.43/3.81 | (426) ~ (all_0_122_122 = e22)
% 14.43/3.81 | (454) ~ (all_0_123_123 = e21)
% 14.43/3.81 |
% 14.43/3.81 | Equations (452) can reduce 418 to:
% 14.43/3.81 | (414) $false
% 14.43/3.81 |
% 14.43/3.81 |-The branch is then unsatisfiable
% 14.43/3.81 |-Branch two:
% 14.43/3.81 | (457) all_0_130_130 = e21 & all_0_131_131 = e22 & ~ (all_0_125_125 = e23) & ~ (all_0_126_126 = e22) & ~ (all_0_127_127 = e21) & ~ (all_0_128_128 = e20)
% 14.43/3.81 |
% 14.43/3.81 | Applying alpha-rule on (457) yields:
% 14.43/3.81 | (458) ~ (all_0_128_128 = e20)
% 14.43/3.81 | (406) ~ (all_0_127_127 = e21)
% 14.43/3.81 | (460) ~ (all_0_125_125 = e23)
% 14.43/3.81 | (461) ~ (all_0_126_126 = e22)
% 14.43/3.81 | (462) all_0_131_131 = e22
% 14.43/3.81 | (463) all_0_130_130 = e21
% 14.43/3.81 |
% 14.43/3.81 | Combining equations (479,463) yields a new equation:
% 14.43/3.81 | (1758) e22 = e21
% 14.43/3.81 |
% 14.43/3.81 | Simplifying 1758 yields:
% 14.43/3.81 | (480) e22 = e21
% 14.43/3.81 |
% 14.43/3.81 | Equations (480) can reduce 254 to:
% 14.43/3.81 | (414) $false
% 14.43/3.81 |
% 14.43/3.81 |-The branch is then unsatisfiable
% 14.43/3.81 |-Branch two:
% 14.43/3.81 | (482) all_0_134_134 = e20 & ~ (all_0_129_129 = e23) & ~ (all_0_130_130 = e22) & ~ (all_0_131_131 = e21) & ~ (all_0_132_132 = e20)
% 14.43/3.81 |
% 14.43/3.81 | Applying alpha-rule on (482) yields:
% 14.43/3.81 | (439) ~ (all_0_129_129 = e23)
% 14.43/3.81 | (441) ~ (all_0_132_132 = e20)
% 14.43/3.81 | (485) all_0_134_134 = e20
% 14.43/3.81 | (443) ~ (all_0_131_131 = e21)
% 14.43/3.81 | (444) ~ (all_0_130_130 = e22)
% 14.43/3.81 |
% 14.43/3.81 | Combining equations (485,1665) yields a new equation:
% 14.43/3.81 | (545) e23 = e20
% 14.43/3.81 |
% 14.43/3.81 | Equations (545) can reduce 278 to:
% 14.43/3.81 | (414) $false
% 14.43/3.81 |
% 14.43/3.81 |-The branch is then unsatisfiable
% 14.43/3.81 |-Branch two:
% 14.43/3.81 | (444) ~ (all_0_130_130 = e22)
% 14.43/3.81 | (1828) all_0_131_131 = e22 | all_0_132_132 = e22
% 14.43/3.81 |
% 14.43/3.81 +-Applying beta-rule and splitting (148), into two cases.
% 14.43/3.81 |-Branch one:
% 14.43/3.81 | (472) all_0_122_122 = e22
% 14.43/3.81 |
% 14.43/3.81 | Combining equations (1949,472) yields a new equation:
% 14.43/3.81 | (430) e23 = e22
% 14.43/3.81 |
% 14.43/3.81 | Simplifying 430 yields:
% 14.43/3.81 | (431) e23 = e22
% 14.43/3.81 |
% 14.43/3.81 | Equations (431) can reduce 40 to:
% 14.43/3.81 | (414) $false
% 14.43/3.81 |
% 14.43/3.81 |-The branch is then unsatisfiable
% 14.43/3.81 |-Branch two:
% 14.43/3.81 | (426) ~ (all_0_122_122 = e22)
% 14.43/3.81 | (475) all_0_126_126 = e22 | all_0_130_130 = e22
% 14.43/3.81 |
% 14.43/3.81 +-Applying beta-rule and splitting (475), into two cases.
% 14.43/3.81 |-Branch one:
% 14.43/3.81 | (476) all_0_126_126 = e22
% 14.43/3.81 |
% 14.43/3.81 | Combining equations (442,476) yields a new equation:
% 14.43/3.81 | (480) e22 = e21
% 14.43/3.81 |
% 14.43/3.81 | Equations (480) can reduce 254 to:
% 14.43/3.81 | (414) $false
% 14.43/3.81 |
% 14.43/3.81 |-The branch is then unsatisfiable
% 14.43/3.81 |-Branch two:
% 14.43/3.81 | (461) ~ (all_0_126_126 = e22)
% 14.43/3.81 | (479) all_0_130_130 = e22
% 14.43/3.81 |
% 14.43/3.81 | Equations (479) can reduce 444 to:
% 14.43/3.81 | (414) $false
% 14.43/3.81 |
% 14.43/3.81 |-The branch is then unsatisfiable
% 14.43/3.81 |-Branch two:
% 14.43/3.81 | (1784) ~ (all_0_134_134 = e23)
% 14.43/3.81 | (485) all_0_134_134 = e20
% 14.43/3.81 |
% 14.43/3.81 | Equations (485) can reduce 2221 to:
% 14.43/3.81 | (414) $false
% 14.43/3.81 |
% 14.43/3.81 |-The branch is then unsatisfiable
% 14.43/3.81 |-Branch two:
% 14.43/3.81 | (491) ~ (all_0_122_122 = e23)
% 14.43/3.81 | (2288) all_0_123_123 = e23 | all_0_124_124 = e23
% 14.43/3.81 |
% 14.43/3.81 +-Applying beta-rule and splitting (2288), into two cases.
% 14.43/3.81 |-Branch one:
% 14.43/3.81 | (569) all_0_123_123 = e23
% 14.43/3.81 |
% 14.43/3.81 | Combining equations (469,569) yields a new equation:
% 14.43/3.81 | (455) e23 = e21
% 14.43/3.81 |
% 14.43/3.81 | Equations (455) can reduce 293 to:
% 14.43/3.81 | (414) $false
% 14.43/3.81 |
% 14.43/3.81 |-The branch is then unsatisfiable
% 14.43/3.81 |-Branch two:
% 14.43/3.81 | (492) ~ (all_0_123_123 = e23)
% 14.43/3.81 | (429) all_0_124_124 = e23
% 14.43/3.81 |
% 14.43/3.81 | Combining equations (425,429) yields a new equation:
% 14.43/3.81 | (431) e23 = e22
% 14.43/3.81 |
% 14.43/3.81 | Equations (431) can reduce 40 to:
% 14.43/3.81 | (414) $false
% 14.43/3.81 |
% 14.43/3.81 |-The branch is then unsatisfiable
% 14.43/3.81 |-Branch two:
% 14.43/3.81 | (2296) ~ (all_0_127_127 = e22)
% 14.43/3.81 | (448) all_0_128_128 = e22
% 14.43/3.81 |
% 14.43/3.81 | Equations (448) can reduce 428 to:
% 14.43/3.81 | (414) $false
% 14.43/3.81 |
% 14.43/3.81 |-The branch is then unsatisfiable
% 14.43/3.81 |-Branch two:
% 14.43/3.81 | (489) ~ (all_0_124_124 = e22)
% 14.43/3.81 | (429) all_0_124_124 = e23
% 14.43/3.81 |
% 14.43/3.81 | Equations (429) can reduce 216 to:
% 14.43/3.81 | (493) ~ (all_0_132_132 = e23)
% 14.43/3.81 |
% 14.43/3.81 | Simplifying 493 yields:
% 14.43/3.81 | (494) ~ (all_0_132_132 = e23)
% 14.43/3.81 |
% 14.43/3.81 | Equations (429) can reduce 489 to:
% 14.43/3.81 | (40) ~ (e23 = e22)
% 14.43/3.81 |
% 14.43/3.81 | From (429) and (219) follows:
% 14.43/3.81 | (495) op2(e23, e23) = all_0_106_106
% 14.43/3.81 |
% 14.43/3.81 +-Applying beta-rule and splitting (59), into two cases.
% 14.43/3.81 |-Branch one:
% 14.43/3.81 | (472) all_0_122_122 = e22
% 14.43/3.81 |
% 14.43/3.81 | Combining equations (472,1971) yields a new equation:
% 14.43/3.81 | (2306) all_0_96_96 = e22
% 14.43/3.81 |
% 14.43/3.81 | Equations (472) can reduce 353 to:
% 14.43/3.81 | (2307) ~ (all_0_130_130 = e22)
% 14.43/3.81 |
% 14.43/3.81 | Simplifying 2307 yields:
% 14.43/3.81 | (444) ~ (all_0_130_130 = e22)
% 14.43/3.81 |
% 14.43/3.81 | Equations (472) can reduce 464 to:
% 14.43/3.81 | (254) ~ (e22 = e21)
% 14.43/3.81 |
% 14.43/3.81 +-Applying beta-rule and splitting (12), into two cases.
% 14.43/3.81 |-Branch one:
% 14.43/3.81 | (448) all_0_128_128 = e22
% 14.43/3.81 |
% 14.43/3.81 | Equations (448) can reduce 20 to:
% 14.43/3.81 | (2296) ~ (all_0_127_127 = e22)
% 14.43/3.81 |
% 14.43/3.81 | Equations (448) can reduce 130 to:
% 14.43/3.81 | (1809) ~ (all_0_132_132 = e22)
% 14.43/3.81 |
% 14.43/3.81 | Simplifying 1809 yields:
% 14.43/3.81 | (1810) ~ (all_0_132_132 = e22)
% 14.43/3.81 |
% 14.43/3.81 | From (448) and (349) follows:
% 14.43/3.81 | (507) op2(e22, e22) = all_0_107_107
% 14.43/3.81 |
% 14.43/3.81 +-Applying beta-rule and splitting (202), into two cases.
% 14.43/3.81 |-Branch one:
% 14.43/3.81 | (440) all_0_127_127 = e22
% 14.43/3.81 |
% 14.43/3.81 | Equations (440) can reduce 2296 to:
% 14.43/3.81 | (414) $false
% 14.43/3.81 |
% 14.43/3.81 |-The branch is then unsatisfiable
% 14.43/3.81 |-Branch two:
% 14.43/3.81 | (2296) ~ (all_0_127_127 = e22)
% 14.43/3.81 | (2318) all_0_127_127 = e23 | all_0_127_127 = e21 | all_0_127_127 = e20
% 14.43/3.81 |
% 14.43/3.81 +-Applying beta-rule and splitting (2318), into two cases.
% 14.43/3.81 |-Branch one:
% 14.43/3.81 | (521) all_0_127_127 = e21
% 14.43/3.81 |
% 14.43/3.81 | Equations (521) can reduce 406 to:
% 14.43/3.81 | (414) $false
% 14.43/3.81 |
% 14.43/3.81 |-The branch is then unsatisfiable
% 14.43/3.81 |-Branch two:
% 14.43/3.81 | (406) ~ (all_0_127_127 = e21)
% 14.43/3.81 | (2322) all_0_127_127 = e23 | all_0_127_127 = e20
% 14.43/3.81 |
% 14.43/3.81 +-Applying beta-rule and splitting (2322), into two cases.
% 14.43/3.81 |-Branch one:
% 14.43/3.81 | (574) all_0_127_127 = e23
% 14.43/3.81 |
% 14.43/3.81 | Equations (574) can reduce 1659 to:
% 14.43/3.81 | (414) $false
% 14.43/3.81 |
% 14.43/3.81 |-The branch is then unsatisfiable
% 14.43/3.81 |-Branch two:
% 14.43/3.81 | (1659) ~ (all_0_127_127 = e23)
% 14.43/3.81 | (2326) all_0_127_127 = e20
% 14.43/3.81 |
% 14.43/3.81 | Equations (2326) can reduce 359 to:
% 14.43/3.81 | (2220) ~ (all_0_134_134 = e20)
% 14.43/3.81 |
% 14.43/3.81 | Simplifying 2220 yields:
% 14.43/3.81 | (2221) ~ (all_0_134_134 = e20)
% 14.43/3.81 |
% 14.43/3.81 +-Applying beta-rule and splitting (187), into two cases.
% 14.43/3.81 |-Branch one:
% 14.43/3.81 | (1883) all_0_132_132 = e22
% 14.43/3.81 |
% 14.43/3.81 | Equations (1883) can reduce 1810 to:
% 14.43/3.81 | (414) $false
% 14.43/3.81 |
% 14.43/3.81 |-The branch is then unsatisfiable
% 14.43/3.81 |-Branch two:
% 14.43/3.81 | (1810) ~ (all_0_132_132 = e22)
% 14.43/3.81 | (2332) all_0_132_132 = e23 | all_0_132_132 = e20
% 14.43/3.81 |
% 14.43/3.81 +-Applying beta-rule and splitting (2332), into two cases.
% 14.43/3.81 |-Branch one:
% 14.43/3.81 | (2333) all_0_132_132 = e23
% 14.43/3.81 |
% 14.43/3.81 | Equations (2333) can reduce 494 to:
% 14.43/3.81 | (414) $false
% 14.43/3.81 |
% 14.43/3.81 |-The branch is then unsatisfiable
% 14.43/3.81 |-Branch two:
% 14.43/3.81 | (494) ~ (all_0_132_132 = e23)
% 14.43/3.81 | (513) all_0_132_132 = e20
% 14.43/3.81 |
% 14.43/3.81 | Equations (513) can reduce 1810 to:
% 14.43/3.81 | (560) ~ (e22 = e20)
% 14.43/3.81 |
% 14.43/3.81 | Simplifying 560 yields:
% 14.43/3.81 | (123) ~ (e22 = e20)
% 14.43/3.81 |
% 14.43/3.81 | From (513) and (14) follows:
% 14.43/3.81 | (516) op2(e20, e21) = all_0_108_108
% 14.43/3.82 |
% 14.43/3.82 +-Applying beta-rule and splitting (304), into two cases.
% 14.43/3.82 |-Branch one:
% 14.43/3.82 | (479) all_0_130_130 = e22
% 14.43/3.82 |
% 14.43/3.82 | Equations (479) can reduce 444 to:
% 14.43/3.82 | (414) $false
% 14.43/3.82 |
% 14.43/3.82 |-The branch is then unsatisfiable
% 14.43/3.82 |-Branch two:
% 14.43/3.82 | (444) ~ (all_0_130_130 = e22)
% 14.43/3.82 | (1828) all_0_131_131 = e22 | all_0_132_132 = e22
% 14.43/3.82 |
% 14.43/3.82 +-Applying beta-rule and splitting (1828), into two cases.
% 14.43/3.82 |-Branch one:
% 14.43/3.82 | (462) all_0_131_131 = e22
% 14.43/3.82 |
% 14.43/3.82 | Equations (462) can reduce 215 to:
% 14.43/3.82 | (539) ~ (all_0_134_134 = e22)
% 14.43/3.82 |
% 14.43/3.82 | Simplifying 539 yields:
% 14.43/3.82 | (52) ~ (all_0_134_134 = e22)
% 14.43/3.82 |
% 14.43/3.82 | Equations (462) can reduce 443 to:
% 14.43/3.82 | (254) ~ (e22 = e21)
% 14.43/3.82 |
% 14.43/3.82 | From (462)(462) and (48) follows:
% 14.43/3.82 | (2348) op2(e22, e22) = all_0_95_95
% 14.43/3.82 |
% 14.43/3.82 | From (462) and (2178) follows:
% 14.43/3.82 | (2349) op2(e22, e22) = all_0_27_27
% 14.43/3.82 |
% 14.43/3.82 | From (462) and (2180) follows:
% 14.43/3.82 | (2350) op2(e22, e22) = all_0_15_15
% 14.43/3.82 |
% 14.43/3.82 +-Applying beta-rule and splitting (330), into two cases.
% 14.43/3.82 |-Branch one:
% 14.43/3.82 | (1669) all_0_133_133 = e20
% 14.43/3.82 |
% 14.43/3.82 | Equations (1669) can reduce 33 to:
% 14.43/3.82 | (1677) ~ (all_0_130_130 = e20)
% 14.43/3.82 |
% 14.43/3.82 | Equations (1669) can reduce 68 to:
% 14.43/3.82 | (2220) ~ (all_0_134_134 = e20)
% 14.43/3.82 |
% 14.43/3.82 | Simplifying 2220 yields:
% 14.43/3.82 | (2221) ~ (all_0_134_134 = e20)
% 14.43/3.82 |
% 14.43/3.82 +-Applying beta-rule and splitting (376), into two cases.
% 14.43/3.82 |-Branch one:
% 14.43/3.82 | (1665) all_0_134_134 = e23
% 14.43/3.82 |
% 14.43/3.82 | Equations (1665) can reduce 52 to:
% 14.43/3.82 | (40) ~ (e23 = e22)
% 14.43/3.82 |
% 14.43/3.82 | Equations (1665) can reduce 106 to:
% 14.43/3.82 | (293) ~ (e23 = e21)
% 14.43/3.82 |
% 14.43/3.82 | Equations (1665) can reduce 2221 to:
% 14.43/3.82 | (278) ~ (e23 = e20)
% 14.43/3.82 |
% 14.43/3.82 | From (1665) and (166) follows:
% 14.43/3.82 | (2359) op2(e20, e21) = e23
% 14.43/3.82 |
% 14.43/3.82 +-Applying beta-rule and splitting (271), into two cases.
% 14.43/3.82 |-Branch one:
% 14.43/3.82 | (1949) all_0_122_122 = e23
% 14.43/3.82 |
% 14.43/3.82 | Combining equations (472,1949) yields a new equation:
% 14.43/3.82 | (431) e23 = e22
% 14.43/3.82 |
% 14.43/3.82 | Equations (431) can reduce 40 to:
% 14.43/3.82 | (414) $false
% 14.43/3.82 |
% 14.43/3.82 |-The branch is then unsatisfiable
% 14.43/3.82 |-Branch two:
% 14.43/3.82 | (491) ~ (all_0_122_122 = e23)
% 14.43/3.82 | (2364) all_0_126_126 = e23 | all_0_130_130 = e23 | all_0_133_133 = e23
% 14.43/3.82 |
% 14.43/3.82 +-Applying beta-rule and splitting (2364), into two cases.
% 14.43/3.82 |-Branch one:
% 14.43/3.82 | (1751) all_0_126_126 = e23
% 14.43/3.82 |
% 14.43/3.82 | Combining equations (442,1751) yields a new equation:
% 14.43/3.82 | (455) e23 = e21
% 14.43/3.82 |
% 14.43/3.82 | Equations (455) can reduce 293 to:
% 14.43/3.82 | (414) $false
% 14.43/3.82 |
% 14.43/3.82 |-The branch is then unsatisfiable
% 14.43/3.82 |-Branch two:
% 14.43/3.82 | (1781) ~ (all_0_126_126 = e23)
% 14.43/3.82 | (2369) all_0_130_130 = e23 | all_0_133_133 = e23
% 14.43/3.82 |
% 14.43/3.82 +-Applying beta-rule and splitting (2369), into two cases.
% 14.43/3.82 |-Branch one:
% 14.43/3.82 | (2370) all_0_130_130 = e23
% 14.43/3.82 |
% 14.43/3.82 | Equations (2370) can reduce 1677 to:
% 14.43/3.82 | (278) ~ (e23 = e20)
% 14.43/3.82 |
% 14.43/3.82 | From (2370)(2370) and (2179) follows:
% 14.43/3.82 | (2372) op2(e23, e23) = all_0_21_21
% 14.43/3.82 |
% 14.43/3.82 | Instantiating formula (3) with e23, e23, all_0_21_21, e20 and discharging atoms op2(e23, e23) = all_0_21_21, op2(e23, e23) = e20, yields:
% 14.43/3.82 | (2373) all_0_21_21 = e20
% 14.43/3.82 |
% 14.43/3.82 | Instantiating formula (3) with e23, e23, all_0_106_106, all_0_21_21 and discharging atoms op2(e23, e23) = all_0_21_21, op2(e23, e23) = all_0_106_106, yields:
% 14.43/3.82 | (2374) all_0_21_21 = all_0_106_106
% 14.43/3.82 |
% 14.43/3.82 | Instantiating formula (3) with e22, e22, all_0_15_15, e21 and discharging atoms op2(e22, e22) = all_0_15_15, op2(e22, e22) = e21, yields:
% 14.43/3.82 | (2375) all_0_15_15 = e21
% 14.43/3.82 |
% 14.43/3.82 | Instantiating formula (3) with e22, e22, all_0_27_27, all_0_15_15 and discharging atoms op2(e22, e22) = all_0_15_15, op2(e22, e22) = all_0_27_27, yields:
% 14.43/3.82 | (2376) all_0_15_15 = all_0_27_27
% 14.43/3.82 |
% 14.43/3.82 | Instantiating formula (3) with e22, e22, all_0_95_95, all_0_15_15 and discharging atoms op2(e22, e22) = all_0_15_15, op2(e22, e22) = all_0_95_95, yields:
% 14.43/3.82 | (2377) all_0_15_15 = all_0_95_95
% 14.43/3.82 |
% 14.43/3.82 | Instantiating formula (3) with e22, e22, all_0_107_107, all_0_95_95 and discharging atoms op2(e22, e22) = all_0_95_95, op2(e22, e22) = all_0_107_107, yields:
% 14.43/3.82 | (2378) all_0_95_95 = all_0_107_107
% 14.43/3.82 |
% 14.43/3.82 | Instantiating formula (3) with e20, e21, e23, all_0_108_108 and discharging atoms op2(e20, e21) = all_0_108_108, op2(e20, e21) = e23, yields:
% 14.43/3.82 | (2379) all_0_108_108 = e23
% 14.43/3.82 |
% 14.43/3.82 | Combining equations (2377,2376) yields a new equation:
% 14.43/3.82 | (2380) all_0_27_27 = all_0_95_95
% 14.43/3.82 |
% 14.43/3.82 | Combining equations (2375,2376) yields a new equation:
% 14.43/3.82 | (2381) all_0_27_27 = e21
% 14.43/3.82 |
% 14.43/3.82 | Combining equations (2374,2373) yields a new equation:
% 14.43/3.82 | (2382) all_0_106_106 = e20
% 14.43/3.82 |
% 14.43/3.82 | Simplifying 2382 yields:
% 14.43/3.82 | (496) all_0_106_106 = e20
% 14.43/3.82 |
% 14.43/3.82 | Combining equations (2380,2381) yields a new equation:
% 14.43/3.82 | (2384) all_0_95_95 = e21
% 14.43/3.82 |
% 14.43/3.82 | Simplifying 2384 yields:
% 14.43/3.82 | (2385) all_0_95_95 = e21
% 14.43/3.82 |
% 14.43/3.82 | Combining equations (2378,2385) yields a new equation:
% 14.43/3.82 | (2386) all_0_107_107 = e21
% 14.43/3.82 |
% 14.43/3.82 | Simplifying 2386 yields:
% 14.43/3.82 | (2387) all_0_107_107 = e21
% 14.43/3.82 |
% 14.43/3.82 +-Applying beta-rule and splitting (206), into two cases.
% 14.43/3.82 |-Branch one:
% 14.43/3.82 | (543) all_0_106_106 = all_0_124_124
% 14.43/3.82 |
% 14.43/3.82 | Combining equations (496,543) yields a new equation:
% 14.43/3.82 | (544) all_0_124_124 = e20
% 14.43/3.82 |
% 14.43/3.82 | Combining equations (429,544) yields a new equation:
% 14.43/3.82 | (1930) e23 = e20
% 14.43/3.82 |
% 14.43/3.82 | Simplifying 1930 yields:
% 14.43/3.82 | (545) e23 = e20
% 14.43/3.82 |
% 14.43/3.82 | Equations (545) can reduce 278 to:
% 14.43/3.82 | (414) $false
% 14.43/3.82 |
% 14.43/3.82 |-The branch is then unsatisfiable
% 14.43/3.82 |-Branch two:
% 14.43/3.82 | (547) ~ (all_0_106_106 = all_0_124_124)
% 14.43/3.82 | (548) all_0_107_107 = all_0_128_128 | all_0_108_108 = all_0_132_132
% 14.43/3.82 |
% 14.43/3.82 | Equations (496,429) can reduce 547 to:
% 14.43/3.82 | (514) ~ (e23 = e20)
% 14.43/3.82 |
% 14.43/3.82 | Simplifying 514 yields:
% 14.43/3.82 | (278) ~ (e23 = e20)
% 14.43/3.82 |
% 14.43/3.82 +-Applying beta-rule and splitting (548), into two cases.
% 14.43/3.82 |-Branch one:
% 14.43/3.82 | (549) all_0_107_107 = all_0_128_128
% 14.43/3.82 |
% 14.43/3.82 | Combining equations (2387,549) yields a new equation:
% 14.43/3.82 | (2398) all_0_128_128 = e21
% 14.43/3.82 |
% 14.43/3.82 | Combining equations (2398,448) yields a new equation:
% 14.43/3.82 | (480) e22 = e21
% 14.43/3.82 |
% 14.43/3.82 | Equations (480) can reduce 254 to:
% 14.43/3.82 | (414) $false
% 14.43/3.82 |
% 14.43/3.82 |-The branch is then unsatisfiable
% 14.43/3.82 |-Branch two:
% 14.43/3.82 | (554) ~ (all_0_107_107 = all_0_128_128)
% 14.43/3.82 | (555) all_0_108_108 = all_0_132_132
% 14.43/3.82 |
% 14.43/3.82 | Combining equations (555,2379) yields a new equation:
% 14.43/3.82 | (2403) all_0_132_132 = e23
% 14.43/3.82 |
% 14.43/3.82 | Simplifying 2403 yields:
% 14.43/3.82 | (2333) all_0_132_132 = e23
% 14.43/3.82 |
% 14.43/3.82 | Combining equations (513,2333) yields a new equation:
% 14.43/3.82 | (545) e23 = e20
% 14.43/3.82 |
% 14.43/3.82 | Equations (545) can reduce 278 to:
% 14.43/3.82 | (414) $false
% 14.43/3.82 |
% 14.43/3.82 |-The branch is then unsatisfiable
% 14.43/3.82 |-Branch two:
% 14.43/3.82 | (2407) ~ (all_0_130_130 = e23)
% 14.43/3.82 | (565) all_0_133_133 = e23
% 14.43/3.82 |
% 14.43/3.82 | Combining equations (1669,565) yields a new equation:
% 14.43/3.82 | (545) e23 = e20
% 14.43/3.82 |
% 14.43/3.82 | Equations (545) can reduce 278 to:
% 14.43/3.82 | (414) $false
% 14.43/3.82 |
% 14.43/3.82 |-The branch is then unsatisfiable
% 14.43/3.82 |-Branch two:
% 14.43/3.82 | (1784) ~ (all_0_134_134 = e23)
% 14.43/3.83 | (485) all_0_134_134 = e20
% 14.43/3.83 |
% 14.43/3.83 | Equations (485) can reduce 2221 to:
% 14.43/3.83 | (414) $false
% 14.43/3.83 |
% 14.43/3.83 |-The branch is then unsatisfiable
% 14.43/3.83 |-Branch two:
% 14.43/3.83 | (559) ~ (all_0_133_133 = e20)
% 14.43/3.83 | (485) all_0_134_134 = e20
% 14.43/3.83 |
% 14.43/3.83 | Equations (485) can reduce 2221 to:
% 14.43/3.83 | (414) $false
% 14.43/3.83 |
% 14.43/3.83 |-The branch is then unsatisfiable
% 14.43/3.83 |-Branch two:
% 14.43/3.83 | (1882) ~ (all_0_131_131 = e22)
% 14.43/3.83 | (1883) all_0_132_132 = e22
% 14.43/3.83 |
% 14.43/3.83 | Combining equations (513,1883) yields a new equation:
% 14.43/3.83 | (510) e22 = e20
% 14.43/3.83 |
% 14.43/3.83 | Equations (510) can reduce 123 to:
% 14.43/3.83 | (414) $false
% 14.43/3.83 |
% 14.43/3.83 |-The branch is then unsatisfiable
% 14.43/3.83 |-Branch two:
% 14.43/3.83 | (428) ~ (all_0_128_128 = e22)
% 14.43/3.83 | (1688) all_0_96_96 = all_0_125_125 | all_0_97_97 = all_0_129_129
% 14.43/3.83 |
% 14.43/3.83 +-Applying beta-rule and splitting (133), into two cases.
% 14.43/3.83 |-Branch one:
% 14.43/3.83 | (476) all_0_126_126 = e22
% 14.43/3.83 |
% 14.43/3.83 | Combining equations (442,476) yields a new equation:
% 14.43/3.83 | (480) e22 = e21
% 14.43/3.83 |
% 14.43/3.83 | Equations (480) can reduce 254 to:
% 14.43/3.83 | (414) $false
% 14.43/3.83 |
% 14.43/3.83 |-The branch is then unsatisfiable
% 14.43/3.83 |-Branch two:
% 14.43/3.83 | (461) ~ (all_0_126_126 = e22)
% 14.43/3.83 | (2193) all_0_127_127 = e22 | all_0_128_128 = e22
% 14.43/3.83 |
% 14.43/3.83 +-Applying beta-rule and splitting (2193), into two cases.
% 14.43/3.83 |-Branch one:
% 14.43/3.83 | (440) all_0_127_127 = e22
% 14.43/3.83 |
% 14.43/3.83 | Equations (440) can reduce 234 to:
% 14.43/3.83 | (2039) ~ (all_0_131_131 = e22)
% 14.43/3.83 |
% 14.43/3.83 | Simplifying 2039 yields:
% 14.43/3.83 | (1882) ~ (all_0_131_131 = e22)
% 14.43/3.83 |
% 14.43/3.83 +-Applying beta-rule and splitting (304), into two cases.
% 14.43/3.83 |-Branch one:
% 14.43/3.83 | (479) all_0_130_130 = e22
% 14.43/3.83 |
% 14.43/3.83 | Equations (479) can reduce 444 to:
% 14.43/3.83 | (414) $false
% 14.43/3.83 |
% 14.43/3.83 |-The branch is then unsatisfiable
% 14.43/3.83 |-Branch two:
% 14.43/3.83 | (444) ~ (all_0_130_130 = e22)
% 14.43/3.83 | (1828) all_0_131_131 = e22 | all_0_132_132 = e22
% 14.43/3.83 |
% 14.43/3.83 +-Applying beta-rule and splitting (1828), into two cases.
% 14.43/3.83 |-Branch one:
% 14.43/3.83 | (462) all_0_131_131 = e22
% 14.43/3.83 |
% 14.43/3.83 | Equations (462) can reduce 1882 to:
% 14.43/3.83 | (414) $false
% 14.43/3.83 |
% 14.43/3.83 |-The branch is then unsatisfiable
% 14.43/3.83 |-Branch two:
% 14.43/3.83 | (1882) ~ (all_0_131_131 = e22)
% 14.43/3.83 | (1883) all_0_132_132 = e22
% 14.43/3.83 |
% 14.43/3.83 | Equations (1883) can reduce 494 to:
% 14.43/3.83 | (1848) ~ (e23 = e22)
% 14.43/3.83 |
% 14.43/3.83 | Simplifying 1848 yields:
% 14.43/3.83 | (40) ~ (e23 = e22)
% 14.43/3.83 |
% 14.43/3.83 +-Applying beta-rule and splitting (1688), into two cases.
% 14.43/3.83 |-Branch one:
% 14.43/3.83 | (1689) all_0_96_96 = all_0_125_125
% 14.43/3.83 |
% 14.43/3.83 | Combining equations (2306,1689) yields a new equation:
% 14.43/3.83 | (2442) all_0_125_125 = e22
% 14.43/3.83 |
% 14.43/3.83 | Combining equations (2442,1829) yields a new equation:
% 14.43/3.83 | (431) e23 = e22
% 14.43/3.83 |
% 14.43/3.83 | Equations (431) can reduce 40 to:
% 14.43/3.83 | (414) $false
% 14.43/3.83 |
% 14.43/3.83 |-The branch is then unsatisfiable
% 14.43/3.83 |-Branch two:
% 14.43/3.83 | (1693) ~ (all_0_96_96 = all_0_125_125)
% 14.43/3.83 | (1694) all_0_97_97 = all_0_129_129
% 14.43/3.83 |
% 14.43/3.83 | Combining equations (1972,1694) yields a new equation:
% 14.43/3.83 | (2142) all_0_129_129 = all_0_131_131
% 14.43/3.83 |
% 14.43/3.83 | Combining equations (2142,413) yields a new equation:
% 14.43/3.83 | (2143) all_0_131_131 = e21
% 14.43/3.83 |
% 14.43/3.83 | Simplifying 2143 yields:
% 14.43/3.83 | (524) all_0_131_131 = e21
% 14.43/3.83 |
% 14.43/3.83 | Equations (524) can reduce 443 to:
% 14.43/3.83 | (414) $false
% 14.43/3.83 |
% 14.43/3.83 |-The branch is then unsatisfiable
% 14.43/3.83 |-Branch two:
% 14.43/3.83 | (2296) ~ (all_0_127_127 = e22)
% 14.43/3.83 | (448) all_0_128_128 = e22
% 14.43/3.83 |
% 14.43/3.83 | Equations (448) can reduce 428 to:
% 14.43/3.83 | (414) $false
% 14.43/3.83 |
% 14.43/3.83 |-The branch is then unsatisfiable
% 14.43/3.83 |-Branch two:
% 14.43/3.83 | (426) ~ (all_0_122_122 = e22)
% 14.43/3.83 | (1937) all_0_123_123 = e22 | all_0_124_124 = e22
% 14.43/3.83 |
% 14.43/3.83 +-Applying beta-rule and splitting (1937), into two cases.
% 14.43/3.83 |-Branch one:
% 14.43/3.83 | (538) all_0_123_123 = e22
% 14.43/3.83 |
% 14.43/3.83 | Combining equations (538,469) yields a new equation:
% 14.43/3.83 | (1758) e22 = e21
% 14.43/3.83 |
% 14.43/3.83 | Simplifying 1758 yields:
% 14.43/3.83 | (480) e22 = e21
% 14.43/3.83 |
% 14.43/3.83 | Equations (480) can reduce 254 to:
% 14.43/3.83 | (414) $false
% 14.43/3.83 |
% 14.43/3.83 |-The branch is then unsatisfiable
% 14.43/3.83 |-Branch two:
% 14.43/3.83 | (465) ~ (all_0_123_123 = e22)
% 14.43/3.83 | (425) all_0_124_124 = e22
% 14.43/3.83 |
% 14.43/3.83 | Combining equations (425,429) yields a new equation:
% 14.43/3.83 | (431) e23 = e22
% 14.43/3.83 |
% 14.43/3.83 | Equations (431) can reduce 40 to:
% 14.43/3.83 | (414) $false
% 14.43/3.83 |
% 14.43/3.83 |-The branch is then unsatisfiable
% 14.43/3.83 |-Branch two:
% 14.43/3.83 | (1716) ~ (all_0_126_126 = e21)
% 14.43/3.83 | (521) all_0_127_127 = e21
% 14.43/3.83 |
% 14.43/3.83 | Equations (521) can reduce 406 to:
% 14.43/3.83 | (414) $false
% 14.43/3.83 |
% 14.43/3.83 |-The branch is then unsatisfiable
% 14.43/3.83 % SZS output end Proof for theBenchmark
% 14.43/3.83
% 14.43/3.83 3342ms
%------------------------------------------------------------------------------