%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : ALG122+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n021.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 14 15:35:14 EDT 2022 % Result : Theorem 7.74s 2.35s % Output : Proof 21.38s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : ALG122+1 : TPTP v8.1.0. Released v2.7.0. % 0.03/0.13 % Command : ePrincess-casc -timeout=%d %s % 0.13/0.34 % Computer : n021.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Thu Jun 9 03:46:22 EDT 2022 % 0.13/0.34 % CPUTime : % 0.54/0.62 ____ _ % 0.54/0.62 ___ / __ \_____(_)___ ________ __________ % 0.54/0.62 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.54/0.62 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.54/0.62 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.54/0.62 % 0.54/0.62 A Theorem Prover for First-Order Logic % 0.54/0.62 (ePrincess v.1.0) % 0.54/0.62 % 0.54/0.62 (c) Philipp Rümmer, 2009-2015 % 0.54/0.62 (c) Peter Backeman, 2014-2015 % 0.54/0.62 (contributions by Angelo Brillout, Peter Baumgartner) % 0.54/0.62 Free software under GNU Lesser General Public License (LGPL). % 0.54/0.62 Bug reports to peter@backeman.se % 0.54/0.62 % 0.54/0.62 For more information, visit http://user.uu.se/~petba168/breu/ % 0.54/0.62 % 0.54/0.62 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.72/0.69 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.96/1.26 Prover 0: Preprocessing ... % 5.00/1.75 Prover 0: Constructing countermodel ... % 7.74/2.35 Prover 0: proved (1658ms) % 7.74/2.35 % 7.74/2.35 No countermodel exists, formula is valid % 7.74/2.35 % SZS status Theorem for theBenchmark % 7.74/2.35 % 7.74/2.35 Generating proof ... found it (size 4766) % 18.09/4.81 % 18.09/4.81 % SZS output start Proof for theBenchmark % 18.09/4.81 Assumed formulas after preprocessing and simplification: % 18.09/4.81 | (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] : ( ~ (v23 = v22) & ~ (v23 = v21) & ~ (v23 = v20) & ~ (v23 = v19) & ~ (v23 = v15) & ~ (v23 = e21) & ~ (v22 = v21) & ~ (v22 = v20) & ~ (v22 = v18) & ~ (v22 = v14) & ~ (v22 = e20) & ~ (v21 = v20) & ~ (v21 = v17) & ~ (v21 = v13) & ~ (v21 = e22) & ~ (v20 = v16) & ~ (v20 = v12) & ~ (v20 = e23) & ~ (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v16) & ~ (v19 = v15) & ~ (v19 = e21) & ~ (v18 = v17) & ~ (v18 = v16) & ~ (v18 = v14) & ~ (v18 = e20) & ~ (v17 = v16) & ~ (v17 = v13) & ~ (v17 = e22) & ~ (v16 = v12) & ~ (v16 = e23) & ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~ (v15 = e21) & ~ (v14 = v13) & ~ (v14 = v12) & ~ (v14 = e20) & ~ (v13 = v12) & ~ (v13 = e22) & ~ (v12 = e23) & ~ (v11 = v10) & ~ (v11 = v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v11 = e11) & ~ (v10 = v9) & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v10 = e10) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) & ~ (v9 = e12) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v8 = e13) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v7 = e11) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v6 = e10) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v5 = e12) & ~ (v4 = v0) & ~ (v4 = e13) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v3 = e11) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v2 = e10) & ~ (v1 = v0) & ~ (v1 = e12) & ~ (v0 = e13) & ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e23 = e13) & ~ (e23 = e12) & ~ (e23 = e11) & ~ (e23 = e10) & ~ (e22 = e21) & ~ (e22 = e20) & ~ (e22 = e13) & ~ (e22 = e12) & ~ (e22 = e11) & ~ (e22 = e10) & ~ (e21 = e20) & ~ (e21 = e13) & ~ (e21 = e12) & ~ (e21 = e11) & ~ (e21 = e10) & ~ (e20 = e13) & ~ (e20 = e12) & ~ (e20 = e11) & ~ (e20 = e10) & ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = e10) & ~ (e11 = e10) & op1(v11, e12) = v35 & op1(v10, e12) = v32 & op1(v9, e12) = v29 & op1(v8, e12) = v26 & op1(v7, e11) = v34 & op1(v6, e11) = v31 & op1(v5, e11) = v28 & op1(v4, e11) = v25 & op1(v3, e10) = v33 & op1(v2, e10) = v30 & op1(v1, e10) = v27 & op1(v0, e10) = v24 & op1(e13, e13) = e11 & op1(e13, e12) = e10 & op1(e13, e11) = e12 & op1(e13, e10) = e13 & op1(e12, e13) = v11 & op1(e12, e12) = v10 & op1(e12, e11) = v9 & op1(e12, e10) = v8 & op1(e11, e13) = v7 & op1(e11, e12) = v6 & op1(e11, e11) = v5 & op1(e11, e10) = v4 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10) = v0 & h1(v11) = v76 & 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) = v49 & h1(e11) = v12 & h1(e10) = v48 & 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) = v83 & h2(v0) = v81 & h2(e13) = e21 & h2(e12) = v51 & h2(e11) = v17 & h2(e10) = v50 & h3(v11) = v130 & h3(v10) = v128 & h3(v9) = v126 & h3(v8) = v124 & h3(v7) = v122 & h3(v6) = v120 & h3(v5) = v118 & h3(v4) = v116 & h3(v3) = v114 & h3(v2) = v112 & h3(v1) = v110 & h3(v0) = v108 & h3(e13) = e22 & h3(e12) = v53 & h3(e11) = v22 & h3(e10) = v52 & 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) = v129 & op2(v53, v52) = v125 & op2(v53, v22) = v127 & op2(v53, e22) = v131 & op2(v52, v53) = v113 & op2(v52, v52) = v109 & op2(v52, v22) = v111 & op2(v52, e22) = v115 & op2(v51, v51) = v102 & op2(v51, v50) = v98 & op2(v51, v17) = v100 & op2(v51, e21) = v104 & op2(v50, v51) = v86 & op2(v50, v50) = v82 & op2(v50, v17) = v84 & op2(v50, e21) = v88 & op2(v49, v49) = v75 & op2(v49, v48) = v71 & op2(v49, v12) = v73 & op2(v49, e20) = v77 & op2(v48, v49) = v59 & op2(v48, v48) = v55 & op2(v48, v12) = v57 & op2(v48, e20) = v61 & op2(v23, e22) = v47 & op2(v22, v53) = v121 & op2(v22, v52) = v117 & op2(v22, v22) = v119 & op2(v22, e22) = v123 & op2(v22, e22) = v44 & op2(v21, e22) = v41 & op2(v20, e22) = v38 & op2(v19, e21) = v46 & op2(v18, e21) = v43 & op2(v17, v51) = v94 & op2(v17, v50) = v90 & op2(v17, v17) = v92 & op2(v17, e21) = v96 & op2(v17, e21) = v40 & op2(v16, e21) = v37 & op2(v15, e20) = v45 & op2(v14, e20) = v42 & op2(v13, e20) = v39 & op2(v12, v49) = v67 & op2(v12, v48) = v63 & op2(v12, v12) = v65 & op2(v12, e20) = v69 & op2(v12, e20) = v36 & op2(e23, e23) = e21 & op2(e23, e22) = e20 & op2(e23, e21) = e22 & op2(e23, e20) = e23 & op2(e22, v53) = v134 & op2(e22, v53) = v52 & op2(e22, v52) = v132 & op2(e22, v22) = v133 & op2(e22, v22) = v53 & op2(e22, e23) = v23 & op2(e22, e22) = v22 & op2(e22, e21) = v21 & op2(e22, e20) = v20 & op2(e21, v51) = v107 & op2(e21, v51) = v50 & op2(e21, v50) = v105 & op2(e21, v17) = v106 & op2(e21, v17) = v51 & op2(e21, e23) = v19 & op2(e21, e22) = v18 & op2(e21, e21) = v17 & op2(e21, e20) = v16 & op2(e20, v49) = v80 & op2(e20, v49) = v48 & op2(e20, v48) = v78 & op2(e20, v12) = v79 & op2(e20, v12) = v49 & op2(e20, e23) = v15 & op2(e20, e22) = v14 & op2(e20, e21) = v13 & op2(e20, e20) = v12 & ! [v147] : ! [v148] : ! [v149] : ! [v150] : (v148 = v147 | ~ (op1(v150, v149) = v148) | ~ (op1(v150, v149) = v147)) & ! [v147] : ! [v148] : ! [v149] : ! [v150] : (v148 = v147 | ~ (op2(v150, v149) = v148) | ~ (op2(v150, v149) = v147)) & ! [v147] : ! [v148] : ! [v149] : (v148 = v147 | ~ (h1(v149) = v148) | ~ (h1(v149) = v147)) & ! [v147] : ! [v148] : ! [v149] : (v148 = v147 | ~ (h2(v149) = v148) | ~ (h2(v149) = v147)) & ! [v147] : ! [v148] : ! [v149] : (v148 = v147 | ~ (h3(v149) = v148) | ~ (h3(v149) = v147)) & ! [v147] : ! [v148] : ! [v149] : (v148 = v147 | ~ (h4(v149) = v148) | ~ (h4(v149) = v147)) & ( ~ (v146 = v23) | ~ (v145 = v22) | ~ (v144 = v21) | ~ (v143 = v20) | ~ (v142 = v19) | ~ (v141 = v18) | ~ (v140 = v17) | ~ (v139 = v16) | ~ (v138 = v15) | ~ (v137 = v14) | ~ (v136 = v13) | ~ (v135 = v12)) & ( ~ (v134 = v52) | ~ (v133 = v53) | ~ (v132 = e22) | ~ (v131 = v130) | ~ (v129 = v128) | ~ (v127 = v126) | ~ (v125 = v124) | ~ (v123 = v122) | ~ (v121 = v120) | ~ (v119 = v118) | ~ (v117 = v116) | ~ (v115 = v114) | ~ (v113 = v112) | ~ (v111 = v110) | ~ (v109 = v108) | ( ~ (v53 = e23) & ~ (v52 = e23) & ~ (v22 = e23)) | ( ~ (v53 = e21) & ~ (v52 = e21) & ~ (v22 = e21)) | ( ~ (v53 = e20) & ~ (v52 = e20))) & ( ~ (v107 = v50) | ~ (v106 = v51) | ~ (v105 = e21) | ~ (v104 = v103) | ~ (v102 = v101) | ~ (v100 = v99) | ~ (v98 = v97) | ~ (v96 = v95) | ~ (v94 = v93) | ~ (v92 = v91) | ~ (v90 = v89) | ~ (v88 = v87) | ~ (v86 = v85) | ~ (v84 = v83) | ~ (v82 = v81) | ( ~ (v51 = e23) & ~ (v50 = e23) & ~ (v17 = e23)) | ( ~ (v51 = e22) & ~ (v50 = e22)) | ( ~ (v51 = e20) & ~ (v50 = e20) & ~ (v17 = e20))) & ( ~ (v80 = v48) | ~ (v79 = v49) | ~ (v78 = e20) | ~ (v77 = v76) | ~ (v75 = v74) | ~ (v73 = v72) | ~ (v71 = v70) | ~ (v69 = v68) | ~ (v67 = v66) | ~ (v65 = v64) | ~ (v63 = v62) | ~ (v61 = v60) | ~ (v59 = v58) | ~ (v57 = v56) | ~ (v55 = v54) | ( ~ (v49 = e23) & ~ (v48 = e23)) | ( ~ (v49 = e22) & ~ (v48 = e22) & ~ (v12 = e22)) | ( ~ (v49 = e21) & ~ (v48 = e21) & ~ (v12 = e21))) & (v47 = v23 | v46 = v19 | v45 = v15) & (v44 = v22 | v43 = v18 | v42 = v14 | v15 = e20) & (v41 = v21 | v40 = v17 | v39 = v13 | v23 = e22) & (v38 = v20 | v37 = v16 | v36 = v12) & (v35 = v11 | v34 = v7 | v33 = v3) & (v32 = v10 | v31 = v6 | v30 = v2 | v3 = e10) & (v29 = v9 | v28 = v5 | v27 = v1 | v11 = e12) & (v26 = v8 | v25 = v4 | v24 = v0) & (v23 = e23 | v23 = e22 | v23 = e20) & (v23 = e23 | v22 = e23 | v21 = e23) & (v23 = e23 | v19 = e23 | v15 = e23) & (v23 = e22 | v22 = e22 | v20 = e22) & (v23 = e22 | v19 = e22 | v15 = e22) & (v23 = e20 | v21 = e20 | v20 = e20) & (v23 = e20 | v19 = e20 | v15 = e20) & (v22 = e23 | v22 = e22 | v22 = e21) & (v22 = e23 | v18 = e23 | v14 = e23) & (v22 = e22 | v18 = e22 | v14 = e22) & (v22 = e21 | v21 = e21 | v20 = e21) & (v22 = e21 | v18 = e21 | v14 = e21) & (v21 = e23 | v21 = e21 | v21 = e20) & (v21 = e23 | v17 = e23 | v13 = e23) & (v21 = e21 | v17 = e21 | v13 = e21) & (v21 = e20 | v17 = e20 | v13 = e20) & (v20 = e22 | v20 = e21 | v20 = e20) & (v20 = e22 | v16 = e22 | v12 = e22) & (v20 = e21 | v16 = e21 | v12 = e21) & (v20 = e20 | v16 = e20 | v12 = e20) & (v19 = e23 | v19 = e22 | v19 = e20) & (v19 = e23 | v18 = e23 | v17 = e23) & (v19 = e22 | v18 = e22 | v16 = e22) & (v19 = e20 | v17 = e20 | v16 = e20) & (v18 = e23 | v18 = e22 | v18 = e21) & (v18 = e21 | v17 = e21 | v16 = e21) & (v17 = e23 | v17 = e21 | v17 = e20) & (v16 = e22 | v16 = e21 | v16 = e20) & (v15 = e23 | v15 = e22 | v15 = e20) & (v15 = e23 | v14 = e23 | v13 = e23) & (v15 = e22 | v14 = e22 | v12 = e22) & (v15 = e20 | v13 = e20 | v12 = e20) & (v15 = e20 | (v23 = e22 & ~ (v22 = e23)) | (v20 = e22 & ~ (v15 = e23) & ~ (v14 = e22) & ~ (v13 = e21) & ~ (v12 = e20)) | (v18 = e21 & ~ (v23 = e23) & ~ (v22 = e22) & ~ (v21 = e21) & ~ (v20 = e20)) | (v16 = e21 & ~ (v17 = e20) & ~ (v15 = e23) & ~ (v14 = e22) & ~ (v13 = e21) & ~ (v12 = e20)) | (v13 = e20 & ~ (v19 = e23) & ~ (v18 = e22) & ~ (v17 = e21) & ~ (v16 = e20) & ~ (v12 = e21)) | ( ~ (v15 = e23) & ~ (v14 = e22) & ~ (v13 = e21) & ~ (v12 = e20))) & (v14 = e23 | v14 = e22 | v14 = e21) & (v14 = e21 | v13 = e21 | v12 = e21) & (v13 = e23 | v13 = e21 | v13 = e20) & (v12 = e22 | v12 = e21 | v12 = e20) & (v11 = e13 | v11 = e12 | v11 = e10) & (v11 = e13 | v10 = e13 | v9 = e13) & (v11 = e13 | v7 = e13 | v3 = e13) & (v11 = e12 | v10 = e12 | v8 = e12) & (v11 = e12 | v7 = e12 | v3 = e12) & (v11 = e10 | v9 = e10 | v8 = e10) & (v11 = e10 | v7 = e10 | v3 = e10) & (v10 = e13 | v10 = e12 | v10 = e11) & (v10 = e13 | v6 = e13 | v2 = e13) & (v10 = e12 | v6 = e12 | v2 = e12) & (v10 = e11 | v9 = e11 | v8 = e11) & (v10 = e11 | v6 = e11 | v2 = e11) & (v9 = e13 | v9 = e11 | v9 = e10) & (v9 = e13 | v5 = e13 | v1 = e13) & (v9 = e11 | v5 = e11 | v1 = e11) & (v9 = e10 | v5 = e10 | v1 = e10) & (v8 = e12 | v8 = e11 | v8 = e10) & (v8 = e12 | v4 = e12 | v0 = e12) & (v8 = e11 | v4 = e11 | v0 = e11) & (v8 = e10 | v4 = e10 | v0 = e10) & (v7 = e13 | v7 = e12 | v7 = e10) & (v7 = e13 | v6 = e13 | v5 = e13) & (v7 = e12 | v6 = e12 | v4 = e12) & (v7 = e10 | v5 = e10 | v4 = e10) & (v6 = e13 | v6 = e12 | v6 = e11) & (v6 = e11 | v5 = e11 | v4 = e11) & (v5 = e13 | v5 = e11 | v5 = e10) & (v4 = e12 | v4 = e11 | v4 = e10) & (v3 = e13 | v3 = e12 | v3 = e10) & (v3 = e13 | v2 = e13 | v1 = e13) & (v3 = e12 | v2 = e12 | v0 = e12) & (v3 = e10 | v1 = e10 | v0 = e10) & (v3 = e10 | (v11 = e12 & ~ (v10 = e13)) | (v8 = e12 & ~ (v3 = e13) & ~ (v2 = e12) & ~ (v1 = e11) & ~ (v0 = e10)) | (v6 = e11 & ~ (v11 = e13) & ~ (v10 = e12) & ~ (v9 = e11) & ~ (v8 = e10)) | (v4 = e11 & ~ (v5 = e10) & ~ (v3 = e13) & ~ (v2 = e12) & ~ (v1 = e11) & ~ (v0 = e10)) | (v1 = e10 & ~ (v7 = e13) & ~ (v6 = e12) & ~ (v5 = e11) & ~ (v4 = e10) & ~ (v0 = e11)) | ( ~ (v3 = e13) & ~ (v2 = e12) & ~ (v1 = e11) & ~ (v0 = e10))) & (v2 = e13 | v2 = e12 | v2 = e11) & (v2 = e11 | v1 = e11 | v0 = e11) & (v1 = e13 | v1 = e11 | v1 = e10) & (v0 = e12 | v0 = e11 | v0 = e10)) % 18.48/4.87 | 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 yields: % 18.48/4.87 | (1) ~ (all_0_123_123 = all_0_124_124) & ~ (all_0_123_123 = all_0_125_125) & ~ (all_0_123_123 = all_0_126_126) & ~ (all_0_123_123 = all_0_127_127) & ~ (all_0_123_123 = all_0_131_131) & ~ (all_0_123_123 = e21) & ~ (all_0_124_124 = all_0_125_125) & ~ (all_0_124_124 = all_0_126_126) & ~ (all_0_124_124 = all_0_128_128) & ~ (all_0_124_124 = all_0_132_132) & ~ (all_0_124_124 = e20) & ~ (all_0_125_125 = all_0_126_126) & ~ (all_0_125_125 = all_0_129_129) & ~ (all_0_125_125 = all_0_133_133) & ~ (all_0_125_125 = e22) & ~ (all_0_126_126 = all_0_130_130) & ~ (all_0_126_126 = all_0_134_134) & ~ (all_0_126_126 = e23) & ~ (all_0_127_127 = all_0_128_128) & ~ (all_0_127_127 = all_0_129_129) & ~ (all_0_127_127 = all_0_130_130) & ~ (all_0_127_127 = all_0_131_131) & ~ (all_0_127_127 = e21) & ~ (all_0_128_128 = all_0_129_129) & ~ (all_0_128_128 = all_0_130_130) & ~ (all_0_128_128 = all_0_132_132) & ~ (all_0_128_128 = e20) & ~ (all_0_129_129 = all_0_130_130) & ~ (all_0_129_129 = all_0_133_133) & ~ (all_0_129_129 = e22) & ~ (all_0_130_130 = all_0_134_134) & ~ (all_0_130_130 = e23) & ~ (all_0_131_131 = all_0_132_132) & ~ (all_0_131_131 = all_0_133_133) & ~ (all_0_131_131 = all_0_134_134) & ~ (all_0_131_131 = e21) & ~ (all_0_132_132 = all_0_133_133) & ~ (all_0_132_132 = all_0_134_134) & ~ (all_0_132_132 = e20) & ~ (all_0_133_133 = all_0_134_134) & ~ (all_0_133_133 = e22) & ~ (all_0_134_134 = e23) & ~ (all_0_135_135 = all_0_136_136) & ~ (all_0_135_135 = all_0_137_137) & ~ (all_0_135_135 = all_0_138_138) & ~ (all_0_135_135 = all_0_139_139) & ~ (all_0_135_135 = all_0_143_143) & ~ (all_0_135_135 = e11) & ~ (all_0_136_136 = all_0_137_137) & ~ (all_0_136_136 = all_0_138_138) & ~ (all_0_136_136 = all_0_140_140) & ~ (all_0_136_136 = all_0_144_144) & ~ (all_0_136_136 = e10) & ~ (all_0_137_137 = all_0_138_138) & ~ (all_0_137_137 = all_0_141_141) & ~ (all_0_137_137 = all_0_145_145) & ~ (all_0_137_137 = e12) & ~ (all_0_138_138 = all_0_142_142) & ~ (all_0_138_138 = all_0_146_146) & ~ (all_0_138_138 = e13) & ~ (all_0_139_139 = all_0_140_140) & ~ (all_0_139_139 = all_0_141_141) & ~ (all_0_139_139 = all_0_142_142) & ~ (all_0_139_139 = all_0_143_143) & ~ (all_0_139_139 = e11) & ~ (all_0_140_140 = all_0_141_141) & ~ (all_0_140_140 = all_0_142_142) & ~ (all_0_140_140 = all_0_144_144) & ~ (all_0_140_140 = e10) & ~ (all_0_141_141 = all_0_142_142) & ~ (all_0_141_141 = all_0_145_145) & ~ (all_0_141_141 = e12) & ~ (all_0_142_142 = all_0_146_146) & ~ (all_0_142_142 = e13) & ~ (all_0_143_143 = all_0_144_144) & ~ (all_0_143_143 = all_0_145_145) & ~ (all_0_143_143 = all_0_146_146) & ~ (all_0_143_143 = e11) & ~ (all_0_144_144 = all_0_145_145) & ~ (all_0_144_144 = all_0_146_146) & ~ (all_0_144_144 = e10) & ~ (all_0_145_145 = all_0_146_146) & ~ (all_0_145_145 = e12) & ~ (all_0_146_146 = e13) & ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e23 = e13) & ~ (e23 = e12) & ~ (e23 = e11) & ~ (e23 = e10) & ~ (e22 = e21) & ~ (e22 = e20) & ~ (e22 = e13) & ~ (e22 = e12) & ~ (e22 = e11) & ~ (e22 = e10) & ~ (e21 = e20) & ~ (e21 = e13) & ~ (e21 = e12) & ~ (e21 = e11) & ~ (e21 = e10) & ~ (e20 = e13) & ~ (e20 = e12) & ~ (e20 = e11) & ~ (e20 = e10) & ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = e10) & ~ (e11 = e10) & op1(all_0_135_135, e12) = all_0_111_111 & op1(all_0_136_136, e12) = all_0_114_114 & op1(all_0_137_137, e12) = all_0_117_117 & op1(all_0_138_138, e12) = all_0_120_120 & op1(all_0_139_139, e11) = all_0_112_112 & op1(all_0_140_140, e11) = all_0_115_115 & op1(all_0_141_141, e11) = all_0_118_118 & op1(all_0_142_142, e11) = all_0_121_121 & op1(all_0_143_143, e10) = all_0_113_113 & op1(all_0_144_144, e10) = all_0_116_116 & op1(all_0_145_145, e10) = all_0_119_119 & op1(all_0_146_146, e10) = all_0_122_122 & op1(e13, e13) = e11 & op1(e13, e12) = e10 & op1(e13, e11) = e12 & op1(e13, e10) = e13 & op1(e12, e13) = all_0_135_135 & op1(e12, e12) = all_0_136_136 & op1(e12, e11) = all_0_137_137 & op1(e12, e10) = all_0_138_138 & op1(e11, e13) = all_0_139_139 & op1(e11, e12) = all_0_140_140 & op1(e11, e11) = all_0_141_141 & op1(e11, e10) = all_0_142_142 & op1(e10, e13) = all_0_143_143 & op1(e10, e12) = all_0_144_144 & op1(e10, e11) = all_0_145_145 & op1(e10, e10) = all_0_146_146 & 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_74_74 & h1(all_0_138_138) = all_0_76_76 & h1(all_0_139_139) = all_0_78_78 & h1(all_0_140_140) = all_0_80_80 & h1(all_0_141_141) = all_0_82_82 & h1(all_0_142_142) = all_0_84_84 & h1(all_0_143_143) = all_0_86_86 & h1(all_0_144_144) = all_0_88_88 & h1(all_0_145_145) = all_0_90_90 & h1(all_0_146_146) = all_0_92_92 & h1(e13) = e20 & h1(e12) = all_0_97_97 & h1(e11) = all_0_134_134 & h1(e10) = all_0_98_98 & h2(all_0_135_135) = all_0_43_43 & h2(all_0_136_136) = all_0_45_45 & h2(all_0_137_137) = all_0_47_47 & h2(all_0_138_138) = all_0_49_49 & h2(all_0_139_139) = all_0_51_51 & h2(all_0_140_140) = all_0_53_53 & h2(all_0_141_141) = all_0_55_55 & h2(all_0_142_142) = all_0_57_57 & h2(all_0_143_143) = all_0_59_59 & h2(all_0_144_144) = all_0_61_61 & h2(all_0_145_145) = all_0_63_63 & h2(all_0_146_146) = all_0_65_65 & h2(e13) = e21 & h2(e12) = all_0_95_95 & h2(e11) = all_0_129_129 & h2(e10) = all_0_96_96 & h3(all_0_135_135) = all_0_16_16 & h3(all_0_136_136) = all_0_18_18 & h3(all_0_137_137) = all_0_20_20 & h3(all_0_138_138) = all_0_22_22 & h3(all_0_139_139) = all_0_24_24 & h3(all_0_140_140) = all_0_26_26 & h3(all_0_141_141) = all_0_28_28 & h3(all_0_142_142) = all_0_30_30 & h3(all_0_143_143) = all_0_32_32 & h3(all_0_144_144) = all_0_34_34 & h3(all_0_145_145) = all_0_36_36 & h3(all_0_146_146) = all_0_38_38 & h3(e13) = e22 & h3(e12) = all_0_93_93 & h3(e11) = all_0_124_124 & h3(e10) = all_0_94_94 & 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(e13) = e23 & h4(e12) = e22 & h4(e11) = e21 & h4(e10) = e20 & op2(all_0_93_93, all_0_93_93) = all_0_17_17 & op2(all_0_93_93, all_0_94_94) = all_0_21_21 & op2(all_0_93_93, all_0_124_124) = all_0_19_19 & op2(all_0_93_93, e22) = all_0_15_15 & op2(all_0_94_94, all_0_93_93) = all_0_33_33 & op2(all_0_94_94, all_0_94_94) = all_0_37_37 & op2(all_0_94_94, all_0_124_124) = all_0_35_35 & op2(all_0_94_94, e22) = all_0_31_31 & op2(all_0_95_95, all_0_95_95) = all_0_44_44 & op2(all_0_95_95, all_0_96_96) = all_0_48_48 & op2(all_0_95_95, all_0_129_129) = all_0_46_46 & op2(all_0_95_95, e21) = all_0_42_42 & op2(all_0_96_96, all_0_95_95) = all_0_60_60 & op2(all_0_96_96, all_0_96_96) = all_0_64_64 & op2(all_0_96_96, all_0_129_129) = all_0_62_62 & op2(all_0_96_96, e21) = all_0_58_58 & op2(all_0_97_97, all_0_97_97) = all_0_71_71 & op2(all_0_97_97, all_0_98_98) = all_0_75_75 & op2(all_0_97_97, all_0_134_134) = all_0_73_73 & op2(all_0_97_97, e20) = all_0_69_69 & op2(all_0_98_98, all_0_97_97) = all_0_87_87 & op2(all_0_98_98, all_0_98_98) = all_0_91_91 & op2(all_0_98_98, all_0_134_134) = all_0_89_89 & op2(all_0_98_98, e20) = all_0_85_85 & op2(all_0_123_123, e22) = all_0_99_99 & op2(all_0_124_124, all_0_93_93) = all_0_25_25 & op2(all_0_124_124, all_0_94_94) = all_0_29_29 & op2(all_0_124_124, all_0_124_124) = all_0_27_27 & op2(all_0_124_124, e22) = all_0_23_23 & op2(all_0_124_124, e22) = all_0_102_102 & op2(all_0_125_125, e22) = all_0_105_105 & op2(all_0_126_126, e22) = all_0_108_108 & op2(all_0_127_127, e21) = all_0_100_100 & op2(all_0_128_128, e21) = all_0_103_103 & op2(all_0_129_129, all_0_95_95) = all_0_52_52 & op2(all_0_129_129, all_0_96_96) = all_0_56_56 & op2(all_0_129_129, all_0_129_129) = all_0_54_54 & op2(all_0_129_129, e21) = all_0_50_50 & op2(all_0_129_129, e21) = all_0_106_106 & op2(all_0_130_130, e21) = all_0_109_109 & op2(all_0_131_131, e20) = all_0_101_101 & op2(all_0_132_132, e20) = all_0_104_104 & op2(all_0_133_133, e20) = all_0_107_107 & op2(all_0_134_134, all_0_97_97) = all_0_79_79 & op2(all_0_134_134, all_0_98_98) = all_0_83_83 & op2(all_0_134_134, all_0_134_134) = all_0_81_81 & op2(all_0_134_134, e20) = all_0_77_77 & op2(all_0_134_134, e20) = all_0_110_110 & op2(e23, e23) = e21 & op2(e23, e22) = e20 & op2(e23, e21) = e22 & op2(e23, e20) = e23 & op2(e22, all_0_93_93) = all_0_12_12 & op2(e22, all_0_93_93) = all_0_94_94 & op2(e22, all_0_94_94) = all_0_14_14 & op2(e22, all_0_124_124) = all_0_13_13 & op2(e22, all_0_124_124) = all_0_93_93 & op2(e22, e23) = all_0_123_123 & op2(e22, e22) = all_0_124_124 & op2(e22, e21) = all_0_125_125 & op2(e22, e20) = all_0_126_126 & op2(e21, all_0_95_95) = all_0_39_39 & op2(e21, all_0_95_95) = all_0_96_96 & op2(e21, all_0_96_96) = all_0_41_41 & op2(e21, all_0_129_129) = all_0_40_40 & op2(e21, all_0_129_129) = all_0_95_95 & op2(e21, e23) = all_0_127_127 & op2(e21, e22) = all_0_128_128 & op2(e21, e21) = all_0_129_129 & op2(e21, e20) = all_0_130_130 & op2(e20, all_0_97_97) = all_0_66_66 & op2(e20, all_0_97_97) = all_0_98_98 & op2(e20, all_0_98_98) = all_0_68_68 & op2(e20, all_0_134_134) = all_0_67_67 & op2(e20, all_0_134_134) = all_0_97_97 & op2(e20, e23) = all_0_131_131 & op2(e20, e22) = all_0_132_132 & op2(e20, e21) = all_0_133_133 & op2(e20, e20) = all_0_134_134 & ! [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_123_123) | ~ (all_0_1_1 = all_0_124_124) | ~ (all_0_2_2 = all_0_125_125) | ~ (all_0_3_3 = all_0_126_126) | ~ (all_0_4_4 = all_0_127_127) | ~ (all_0_5_5 = all_0_128_128) | ~ (all_0_6_6 = all_0_129_129) | ~ (all_0_7_7 = all_0_130_130) | ~ (all_0_8_8 = all_0_131_131) | ~ (all_0_9_9 = all_0_132_132) | ~ (all_0_10_10 = all_0_133_133) | ~ (all_0_11_11 = all_0_134_134)) & ( ~ (all_0_12_12 = all_0_94_94) | ~ (all_0_13_13 = all_0_93_93) | ~ (all_0_14_14 = e22) | ~ (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_93_93 = e23) & ~ (all_0_94_94 = e23) & ~ (all_0_124_124 = e23)) | ( ~ (all_0_93_93 = e21) & ~ (all_0_94_94 = e21) & ~ (all_0_124_124 = e21)) | ( ~ (all_0_93_93 = e20) & ~ (all_0_94_94 = e20))) & ( ~ (all_0_39_39 = all_0_96_96) | ~ (all_0_40_40 = all_0_95_95) | ~ (all_0_41_41 = e21) | ~ (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_95_95 = e23) & ~ (all_0_96_96 = e23) & ~ (all_0_129_129 = e23)) | ( ~ (all_0_95_95 = e22) & ~ (all_0_96_96 = e22)) | ( ~ (all_0_95_95 = e20) & ~ (all_0_96_96 = e20) & ~ (all_0_129_129 = e20))) & ( ~ (all_0_66_66 = all_0_98_98) | ~ (all_0_67_67 = all_0_97_97) | ~ (all_0_68_68 = e20) | ~ (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_97_97 = e23) & ~ (all_0_98_98 = e23)) | ( ~ (all_0_97_97 = e22) & ~ (all_0_98_98 = e22) & ~ (all_0_134_134 = e22)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e21) & ~ (all_0_134_134 = e21))) & (all_0_99_99 = all_0_123_123 | all_0_100_100 = all_0_127_127 | all_0_101_101 = all_0_131_131) & (all_0_102_102 = all_0_124_124 | all_0_103_103 = all_0_128_128 | all_0_104_104 = all_0_132_132 | all_0_131_131 = e20) & (all_0_105_105 = all_0_125_125 | all_0_106_106 = all_0_129_129 | all_0_107_107 = all_0_133_133 | all_0_123_123 = e22) & (all_0_108_108 = all_0_126_126 | all_0_109_109 = all_0_130_130 | all_0_110_110 = all_0_134_134) & (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_136_136 | all_0_115_115 = all_0_140_140 | all_0_116_116 = all_0_144_144 | all_0_143_143 = e10) & (all_0_117_117 = all_0_137_137 | all_0_118_118 = all_0_141_141 | all_0_119_119 = all_0_145_145 | all_0_135_135 = e12) & (all_0_120_120 = all_0_138_138 | all_0_121_121 = all_0_142_142 | all_0_122_122 = all_0_146_146) & (all_0_123_123 = e23 | all_0_123_123 = e22 | all_0_123_123 = e20) & (all_0_123_123 = e23 | all_0_124_124 = e23 | all_0_125_125 = e23) & (all_0_123_123 = e23 | all_0_127_127 = e23 | all_0_131_131 = e23) & (all_0_123_123 = e22 | all_0_124_124 = e22 | all_0_126_126 = e22) & (all_0_123_123 = e22 | all_0_127_127 = e22 | all_0_131_131 = e22) & (all_0_123_123 = e20 | all_0_125_125 = e20 | all_0_126_126 = e20) & (all_0_123_123 = e20 | all_0_127_127 = e20 | all_0_131_131 = e20) & (all_0_124_124 = e23 | all_0_124_124 = e22 | all_0_124_124 = e21) & (all_0_124_124 = e23 | all_0_128_128 = e23 | all_0_132_132 = e23) & (all_0_124_124 = e22 | all_0_128_128 = e22 | all_0_132_132 = e22) & (all_0_124_124 = e21 | all_0_125_125 = e21 | all_0_126_126 = e21) & (all_0_124_124 = e21 | all_0_128_128 = e21 | all_0_132_132 = e21) & (all_0_125_125 = e23 | all_0_125_125 = e21 | all_0_125_125 = e20) & (all_0_125_125 = e23 | all_0_129_129 = e23 | all_0_133_133 = e23) & (all_0_125_125 = e21 | all_0_129_129 = e21 | all_0_133_133 = e21) & (all_0_125_125 = e20 | all_0_129_129 = e20 | all_0_133_133 = e20) & (all_0_126_126 = e22 | all_0_126_126 = e21 | all_0_126_126 = e20) & (all_0_126_126 = e22 | all_0_130_130 = e22 | all_0_134_134 = e22) & (all_0_126_126 = e21 | all_0_130_130 = e21 | all_0_134_134 = e21) & (all_0_126_126 = e20 | all_0_130_130 = e20 | all_0_134_134 = e20) & (all_0_127_127 = e23 | all_0_127_127 = e22 | all_0_127_127 = e20) & (all_0_127_127 = e23 | all_0_128_128 = e23 | all_0_129_129 = e23) & (all_0_127_127 = e22 | all_0_128_128 = e22 | all_0_130_130 = e22) & (all_0_127_127 = e20 | all_0_129_129 = e20 | all_0_130_130 = e20) & (all_0_128_128 = e23 | all_0_128_128 = e22 | all_0_128_128 = e21) & (all_0_128_128 = e21 | all_0_129_129 = e21 | all_0_130_130 = e21) & (all_0_129_129 = e23 | all_0_129_129 = e21 | all_0_129_129 = e20) & (all_0_130_130 = e22 | all_0_130_130 = e21 | all_0_130_130 = e20) & (all_0_131_131 = e23 | all_0_131_131 = e22 | all_0_131_131 = e20) & (all_0_131_131 = e23 | all_0_132_132 = e23 | all_0_133_133 = e23) & (all_0_131_131 = e22 | all_0_132_132 = e22 | all_0_134_134 = e22) & (all_0_131_131 = e20 | all_0_133_133 = e20 | all_0_134_134 = e20) & (all_0_131_131 = e20 | (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) | (all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_133_133 = e20 & ~ (all_0_127_127 = e23) & ~ (all_0_128_128 = e22) & ~ (all_0_129_129 = e21) & ~ (all_0_130_130 = e20) & ~ (all_0_134_134 = e21)) | ( ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20))) & (all_0_132_132 = e23 | all_0_132_132 = e22 | all_0_132_132 = e21) & (all_0_132_132 = e21 | all_0_133_133 = e21 | all_0_134_134 = e21) & (all_0_133_133 = e23 | all_0_133_133 = e21 | all_0_133_133 = e20) & (all_0_134_134 = e22 | all_0_134_134 = e21 | all_0_134_134 = e20) & (all_0_135_135 = e13 | all_0_135_135 = e12 | all_0_135_135 = e10) & (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_135_135 = e12 | all_0_136_136 = e12 | all_0_138_138 = e12) & (all_0_135_135 = e12 | all_0_139_139 = e12 | all_0_143_143 = e12) & (all_0_135_135 = e10 | all_0_137_137 = e10 | all_0_138_138 = e10) & (all_0_135_135 = e10 | all_0_139_139 = e10 | all_0_143_143 = e10) & (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_136_136 = e12 | all_0_140_140 = e12 | all_0_144_144 = e12) & (all_0_136_136 = e11 | all_0_137_137 = e11 | all_0_138_138 = e11) & (all_0_136_136 = e11 | all_0_140_140 = e11 | all_0_144_144 = e11) & (all_0_137_137 = e13 | all_0_137_137 = e11 | all_0_137_137 = e10) & (all_0_137_137 = e13 | all_0_141_141 = e13 | all_0_145_145 = e13) & (all_0_137_137 = e11 | all_0_141_141 = e11 | all_0_145_145 = e11) & (all_0_137_137 = e10 | all_0_141_141 = e10 | all_0_145_145 = e10) & (all_0_138_138 = e12 | all_0_138_138 = e11 | all_0_138_138 = e10) & (all_0_138_138 = e12 | all_0_142_142 = e12 | all_0_146_146 = e12) & (all_0_138_138 = e11 | all_0_142_142 = e11 | all_0_146_146 = e11) & (all_0_138_138 = e10 | all_0_142_142 = e10 | all_0_146_146 = e10) & (all_0_139_139 = e13 | all_0_139_139 = e12 | all_0_139_139 = e10) & (all_0_139_139 = e13 | all_0_140_140 = e13 | all_0_141_141 = e13) & (all_0_139_139 = e12 | all_0_140_140 = e12 | all_0_142_142 = e12) & (all_0_139_139 = e10 | all_0_141_141 = e10 | all_0_142_142 = e10) & (all_0_140_140 = e13 | all_0_140_140 = e12 | all_0_140_140 = e11) & (all_0_140_140 = e11 | all_0_141_141 = e11 | all_0_142_142 = e11) & (all_0_141_141 = e13 | all_0_141_141 = e11 | all_0_141_141 = e10) & (all_0_142_142 = e12 | all_0_142_142 = e11 | all_0_142_142 = e10) & (all_0_143_143 = e13 | all_0_143_143 = e12 | all_0_143_143 = e10) & (all_0_143_143 = e13 | all_0_144_144 = e13 | all_0_145_145 = e13) & (all_0_143_143 = e12 | all_0_144_144 = e12 | all_0_146_146 = e12) & (all_0_143_143 = e10 | all_0_145_145 = e10 | all_0_146_146 = e10) & (all_0_143_143 = e10 | (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11)) | ( ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10))) & (all_0_144_144 = e13 | all_0_144_144 = e12 | all_0_144_144 = e11) & (all_0_144_144 = e11 | all_0_145_145 = e11 | all_0_146_146 = e11) & (all_0_145_145 = e13 | all_0_145_145 = e11 | all_0_145_145 = e10) & (all_0_146_146 = e12 | all_0_146_146 = e11 | all_0_146_146 = e10) % 18.61/4.89 | % 18.61/4.89 | Applying alpha-rule on (1) yields: % 18.61/4.89 | (2) ~ (all_0_135_135 = all_0_139_139) % 18.61/4.89 | (3) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0)) % 18.61/4.89 | (4) op2(all_0_97_97, all_0_134_134) = all_0_73_73 % 18.61/4.89 | (5) all_0_102_102 = all_0_124_124 | all_0_103_103 = all_0_128_128 | all_0_104_104 = all_0_132_132 | all_0_131_131 = e20 % 18.61/4.89 | (6) h4(all_0_144_144) = all_0_9_9 % 18.61/4.89 | (7) h2(all_0_138_138) = all_0_49_49 % 18.61/4.89 | (8) all_0_135_135 = e13 | all_0_136_136 = e13 | all_0_137_137 = e13 % 18.61/4.89 | (9) all_0_127_127 = e23 | all_0_128_128 = e23 | all_0_129_129 = e23 % 18.61/4.89 | (10) op2(all_0_95_95, all_0_129_129) = all_0_46_46 % 18.61/4.89 | (11) ~ (all_0_140_140 = all_0_142_142) % 18.61/4.89 | (12) h2(all_0_146_146) = all_0_65_65 % 18.61/4.89 | (13) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0)) % 18.61/4.89 | (14) all_0_136_136 = e11 | all_0_140_140 = e11 | all_0_144_144 = e11 % 18.61/4.89 | (15) all_0_136_136 = e13 | all_0_136_136 = e12 | all_0_136_136 = e11 % 18.61/4.89 | (16) op2(all_0_134_134, e20) = all_0_110_110 % 18.61/4.89 | (17) ~ (all_0_132_132 = e20) % 18.61/4.89 | (18) op1(e12, e10) = all_0_138_138 % 18.61/4.89 | (19) all_0_139_139 = e12 | all_0_140_140 = e12 | all_0_142_142 = e12 % 18.61/4.89 | (20) ~ (all_0_131_131 = e21) % 18.61/4.89 | (21) all_0_137_137 = e10 | all_0_141_141 = e10 | all_0_145_145 = e10 % 18.61/4.89 | (22) all_0_123_123 = e20 | all_0_127_127 = e20 | all_0_131_131 = e20 % 18.61/4.89 | (23) h1(all_0_140_140) = all_0_80_80 % 18.61/4.89 | (24) op1(all_0_146_146, e10) = all_0_122_122 % 18.61/4.89 | (25) all_0_137_137 = e13 | all_0_137_137 = e11 | all_0_137_137 = e10 % 18.61/4.89 | (26) ~ (all_0_131_131 = all_0_134_134) % 18.61/4.89 | (27) op2(e23, e20) = e23 % 18.61/4.89 | (28) ~ (e23 = e22) % 18.61/4.89 | (29) ~ (all_0_135_135 = all_0_137_137) % 18.61/4.89 | (30) op1(all_0_139_139, e11) = all_0_112_112 % 18.61/4.89 | (31) op2(e21, all_0_95_95) = all_0_96_96 % 18.61/4.89 | (32) ~ (all_0_136_136 = e10) % 18.61/4.89 | (33) ~ (e21 = e10) % 18.61/4.89 | (34) op2(e20, all_0_98_98) = all_0_68_68 % 18.61/4.89 | (35) op1(all_0_136_136, e12) = all_0_114_114 % 18.61/4.89 | (36) h3(all_0_145_145) = all_0_36_36 % 18.61/4.89 | (37) h1(all_0_135_135) = all_0_70_70 % 18.61/4.89 | (38) op1(all_0_138_138, e12) = all_0_120_120 % 18.61/4.89 | (39) ~ (all_0_39_39 = all_0_96_96) | ~ (all_0_40_40 = all_0_95_95) | ~ (all_0_41_41 = e21) | ~ (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_95_95 = e23) & ~ (all_0_96_96 = e23) & ~ (all_0_129_129 = e23)) | ( ~ (all_0_95_95 = e22) & ~ (all_0_96_96 = e22)) | ( ~ (all_0_95_95 = e20) & ~ (all_0_96_96 = e20) & ~ (all_0_129_129 = e20)) % 18.61/4.90 | (40) ~ (all_0_134_134 = e23) % 18.61/4.90 | (41) op1(all_0_143_143, e10) = all_0_113_113 % 18.61/4.90 | (42) all_0_131_131 = e23 | all_0_132_132 = e23 | all_0_133_133 = e23 % 18.61/4.90 | (43) ~ (all_0_66_66 = all_0_98_98) | ~ (all_0_67_67 = all_0_97_97) | ~ (all_0_68_68 = e20) | ~ (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_97_97 = e23) & ~ (all_0_98_98 = e23)) | ( ~ (all_0_97_97 = e22) & ~ (all_0_98_98 = e22) & ~ (all_0_134_134 = e22)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e21) & ~ (all_0_134_134 = e21)) % 18.61/4.90 | (44) ~ (all_0_133_133 = e22) % 18.61/4.90 | (45) op2(all_0_94_94, all_0_93_93) = all_0_33_33 % 18.61/4.90 | (46) all_0_138_138 = e12 | all_0_138_138 = e11 | all_0_138_138 = e10 % 18.61/4.90 | (47) ~ (e22 = e11) % 18.61/4.90 | (48) ~ (all_0_140_140 = all_0_144_144) % 18.61/4.90 | (49) op1(all_0_144_144, e10) = all_0_116_116 % 18.61/4.90 | (50) ~ (all_0_138_138 = all_0_146_146) % 18.61/4.90 | (51) all_0_133_133 = e23 | all_0_133_133 = e21 | all_0_133_133 = e20 % 18.61/4.90 | (52) h3(e12) = all_0_93_93 % 18.61/4.90 | (53) ~ (all_0_130_130 = all_0_134_134) % 18.61/4.90 | (54) h3(all_0_138_138) = all_0_22_22 % 18.61/4.90 | (55) all_0_132_132 = e23 | all_0_132_132 = e22 | all_0_132_132 = e21 % 18.61/4.90 | (56) all_0_137_137 = e13 | all_0_141_141 = e13 | all_0_145_145 = e13 % 18.61/4.90 | (57) op2(all_0_130_130, e21) = all_0_109_109 % 18.61/4.90 | (58) ~ (all_0_132_132 = all_0_133_133) % 18.61/4.90 | (59) all_0_125_125 = e21 | all_0_129_129 = e21 | all_0_133_133 = e21 % 18.61/4.90 | (60) op2(e21, all_0_129_129) = all_0_40_40 % 18.61/4.90 | (61) ~ (all_0_128_128 = all_0_132_132) % 18.61/4.90 | (62) ~ (all_0_123_123 = all_0_124_124) % 18.61/4.90 | (63) all_0_143_143 = e12 | all_0_144_144 = e12 | all_0_146_146 = e12 % 18.61/4.90 | (64) all_0_128_128 = e21 | all_0_129_129 = e21 | all_0_130_130 = e21 % 18.61/4.90 | (65) op2(e21, e22) = all_0_128_128 % 18.61/4.90 | (66) op2(all_0_128_128, e21) = all_0_103_103 % 18.61/4.90 | (67) op2(all_0_93_93, all_0_94_94) = all_0_21_21 % 18.61/4.90 | (68) op2(all_0_97_97, all_0_98_98) = all_0_75_75 % 18.61/4.90 | (69) ~ (all_0_0_0 = all_0_123_123) | ~ (all_0_1_1 = all_0_124_124) | ~ (all_0_2_2 = all_0_125_125) | ~ (all_0_3_3 = all_0_126_126) | ~ (all_0_4_4 = all_0_127_127) | ~ (all_0_5_5 = all_0_128_128) | ~ (all_0_6_6 = all_0_129_129) | ~ (all_0_7_7 = all_0_130_130) | ~ (all_0_8_8 = all_0_131_131) | ~ (all_0_9_9 = all_0_132_132) | ~ (all_0_10_10 = all_0_133_133) | ~ (all_0_11_11 = all_0_134_134) % 18.61/4.90 | (70) h4(e12) = e22 % 18.61/4.90 | (71) op1(e12, e13) = all_0_135_135 % 18.61/4.90 | (72) all_0_140_140 = e11 | all_0_141_141 = e11 | all_0_142_142 = e11 % 18.61/4.90 | (73) all_0_135_135 = e13 | all_0_139_139 = e13 | all_0_143_143 = e13 % 18.61/4.90 | (74) op2(all_0_98_98, all_0_97_97) = all_0_87_87 % 18.61/4.90 | (75) all_0_123_123 = e23 | all_0_127_127 = e23 | all_0_131_131 = e23 % 18.61/4.90 | (76) op2(all_0_134_134, all_0_98_98) = all_0_83_83 % 18.61/4.90 | (77) op1(all_0_140_140, e11) = all_0_115_115 % 18.61/4.90 | (78) op2(e20, e23) = all_0_131_131 % 18.61/4.90 | (79) all_0_132_132 = e21 | all_0_133_133 = e21 | all_0_134_134 = e21 % 18.61/4.90 | (80) ~ (all_0_128_128 = all_0_130_130) % 18.61/4.90 | (81) ~ (all_0_131_131 = all_0_132_132) % 18.61/4.90 | (82) ~ (all_0_137_137 = all_0_145_145) % 18.61/4.90 | (83) op2(all_0_126_126, e22) = all_0_108_108 % 18.61/4.90 | (84) ~ (all_0_125_125 = all_0_133_133) % 18.61/4.90 | (85) op1(e11, e12) = all_0_140_140 % 18.61/4.90 | (86) h1(all_0_146_146) = all_0_92_92 % 18.61/4.90 | (87) h2(e13) = e21 % 18.61/4.90 | (88) ~ (all_0_139_139 = all_0_143_143) % 18.61/4.90 | (89) op2(e22, all_0_94_94) = all_0_14_14 % 18.61/4.90 | (90) op2(e20, all_0_97_97) = all_0_66_66 % 18.61/4.90 | (91) h3(all_0_143_143) = all_0_32_32 % 18.61/4.90 | (92) op2(all_0_93_93, all_0_124_124) = all_0_19_19 % 18.61/4.90 | (93) op2(all_0_95_95, all_0_96_96) = all_0_48_48 % 18.61/4.90 | (94) ~ (all_0_144_144 = all_0_146_146) % 18.61/4.90 | (95) op2(e22, all_0_93_93) = all_0_94_94 % 18.61/4.90 | (96) op2(e21, all_0_96_96) = all_0_41_41 % 18.61/4.90 | (97) op2(all_0_129_129, all_0_129_129) = all_0_54_54 % 18.61/4.90 | (98) h3(all_0_135_135) = all_0_16_16 % 18.61/4.90 | (99) ~ (all_0_141_141 = e12) % 18.61/4.90 | (100) op2(all_0_127_127, e21) = all_0_100_100 % 18.61/4.90 | (101) op2(all_0_96_96, all_0_129_129) = all_0_62_62 % 18.61/4.90 | (102) ~ (all_0_138_138 = e13) % 18.61/4.90 | (103) all_0_125_125 = e23 | all_0_125_125 = e21 | all_0_125_125 = e20 % 18.61/4.90 | (104) ~ (all_0_146_146 = e13) % 18.61/4.90 | (105) h3(e11) = all_0_124_124 % 18.61/4.90 | (106) h2(all_0_136_136) = all_0_45_45 % 18.61/4.91 | (107) ~ (e23 = e13) % 18.61/4.91 | (108) ~ (all_0_131_131 = all_0_133_133) % 18.61/4.91 | (109) all_0_139_139 = e10 | all_0_141_141 = e10 | all_0_142_142 = e10 % 18.61/4.91 | (110) all_0_120_120 = all_0_138_138 | all_0_121_121 = all_0_142_142 | all_0_122_122 = all_0_146_146 % 18.61/4.91 | (111) all_0_141_141 = e13 | all_0_141_141 = e11 | all_0_141_141 = e10 % 18.61/4.91 | (112) op2(all_0_98_98, e20) = all_0_85_85 % 18.61/4.91 | (113) all_0_137_137 = e11 | all_0_141_141 = e11 | all_0_145_145 = e11 % 18.61/4.91 | (114) h1(all_0_145_145) = all_0_90_90 % 18.61/4.91 | (115) ~ (all_0_142_142 = all_0_146_146) % 18.61/4.91 | (116) h2(all_0_137_137) = all_0_47_47 % 18.61/4.91 | (117) ~ (all_0_141_141 = all_0_142_142) % 18.61/4.91 | (118) all_0_138_138 = e12 | all_0_142_142 = e12 | all_0_146_146 = e12 % 18.61/4.91 | (119) op2(all_0_98_98, all_0_98_98) = all_0_91_91 % 18.61/4.91 | (120) ~ (all_0_133_133 = all_0_134_134) % 18.61/4.91 | (121) ~ (e22 = e20) % 18.61/4.91 | (122) h2(all_0_142_142) = all_0_57_57 % 18.61/4.91 | (123) all_0_126_126 = e22 | all_0_130_130 = e22 | all_0_134_134 = e22 % 18.61/4.91 | (124) h1(e10) = all_0_98_98 % 18.61/4.91 | (125) ~ (all_0_126_126 = e23) % 18.61/4.91 | (126) ~ (all_0_127_127 = all_0_128_128) % 18.61/4.91 | (127) all_0_139_139 = e13 | all_0_139_139 = e12 | all_0_139_139 = e10 % 18.61/4.91 | (128) all_0_124_124 = e22 | all_0_128_128 = e22 | all_0_132_132 = e22 % 18.61/4.91 | (129) op2(e22, e20) = all_0_126_126 % 18.61/4.91 | (130) all_0_127_127 = e20 | all_0_129_129 = e20 | all_0_130_130 = e20 % 18.61/4.91 | (131) ~ (all_0_127_127 = all_0_131_131) % 18.61/4.91 | (132) ~ (all_0_137_137 = all_0_138_138) % 18.61/4.91 | (133) op1(e11, e11) = all_0_141_141 % 18.61/4.91 | (134) op2(e23, e23) = e21 % 18.61/4.91 | (135) all_0_136_136 = e13 | all_0_140_140 = e13 | all_0_144_144 = e13 % 18.61/4.91 | (136) h2(all_0_143_143) = all_0_59_59 % 18.61/4.91 | (137) op2(all_0_131_131, e20) = all_0_101_101 % 18.61/4.91 | (138) all_0_129_129 = e23 | all_0_129_129 = e21 | all_0_129_129 = e20 % 18.61/4.91 | (139) ~ (all_0_144_144 = e10) % 18.61/4.91 | (140) op2(e21, all_0_129_129) = all_0_95_95 % 18.61/4.91 | (141) op2(all_0_124_124, all_0_94_94) = all_0_29_29 % 18.61/4.91 | (142) op2(all_0_94_94, all_0_94_94) = all_0_37_37 % 18.61/4.91 | (143) op1(all_0_135_135, e12) = all_0_111_111 % 18.61/4.91 | (144) h4(all_0_146_146) = all_0_11_11 % 18.61/4.91 | (145) op2(all_0_94_94, e22) = all_0_31_31 % 18.61/4.91 | (146) h4(all_0_142_142) = all_0_7_7 % 18.61/4.91 | (147) h4(e11) = e21 % 18.61/4.91 | (148) h1(all_0_142_142) = all_0_84_84 % 18.61/4.91 | (149) h1(all_0_137_137) = all_0_74_74 % 18.61/4.91 | (150) all_0_131_131 = e20 | all_0_133_133 = e20 | all_0_134_134 = e20 % 18.61/4.91 | (151) ~ (all_0_125_125 = e22) % 18.61/4.91 | (152) ~ (all_0_139_139 = e11) % 18.61/4.91 | (153) h4(all_0_135_135) = all_0_0_0 % 18.61/4.91 | (154) op1(e12, e12) = all_0_136_136 % 18.61/4.91 | (155) h2(e10) = all_0_96_96 % 18.61/4.91 | (156) all_0_99_99 = all_0_123_123 | all_0_100_100 = all_0_127_127 | all_0_101_101 = all_0_131_131 % 18.61/4.91 | (157) op1(e10, e11) = all_0_145_145 % 18.61/4.91 | (158) all_0_125_125 = e23 | all_0_129_129 = e23 | all_0_133_133 = e23 % 18.61/4.91 | (159) all_0_142_142 = e12 | all_0_142_142 = e11 | all_0_142_142 = e10 % 18.61/4.91 | (160) op2(all_0_125_125, e22) = all_0_105_105 % 18.61/4.91 | (161) ~ (all_0_137_137 = all_0_141_141) % 18.61/4.91 | (162) ~ (e21 = e11) % 18.61/4.91 | (163) all_0_144_144 = e11 | all_0_145_145 = e11 | all_0_146_146 = e11 % 18.61/4.91 | (164) all_0_128_128 = e23 | all_0_128_128 = e22 | all_0_128_128 = e21 % 18.61/4.91 | (165) ~ (e12 = e10) % 18.61/4.91 | (166) ~ (all_0_139_139 = all_0_140_140) % 18.61/4.91 | (167) op2(e20, e21) = all_0_133_133 % 18.61/4.91 | (168) all_0_111_111 = all_0_135_135 | all_0_112_112 = all_0_139_139 | all_0_113_113 = all_0_143_143 % 18.61/4.91 | (169) op1(e10, e12) = all_0_144_144 % 18.61/4.91 | (170) h4(all_0_145_145) = all_0_10_10 % 18.61/4.91 | (171) ~ (e20 = e10) % 18.61/4.91 | (172) op2(all_0_132_132, e20) = all_0_104_104 % 18.61/4.92 | (173) all_0_143_143 = e13 | all_0_144_144 = e13 | all_0_145_145 = e13 % 18.61/4.92 | (174) all_0_127_127 = e23 | all_0_127_127 = e22 | all_0_127_127 = e20 % 18.61/4.92 | (175) ~ (all_0_129_129 = all_0_133_133) % 18.61/4.92 | (176) h3(all_0_139_139) = all_0_24_24 % 18.61/4.92 | (177) h2(all_0_144_144) = all_0_61_61 % 18.61/4.92 | (178) h4(all_0_141_141) = all_0_6_6 % 18.61/4.92 | (179) h2(all_0_145_145) = all_0_63_63 % 18.61/4.92 | (180) h2(all_0_135_135) = all_0_43_43 % 18.61/4.92 | (181) all_0_135_135 = e10 | all_0_137_137 = e10 | all_0_138_138 = e10 % 18.61/4.92 | (182) h3(all_0_142_142) = all_0_30_30 % 18.61/4.92 | (183) op2(all_0_129_129, e21) = all_0_50_50 % 18.61/4.92 | (184) op2(e22, all_0_124_124) = all_0_13_13 % 18.61/4.92 | (185) all_0_124_124 = e23 | all_0_124_124 = e22 | all_0_124_124 = e21 % 18.61/4.92 | (186) op2(all_0_96_96, e21) = all_0_58_58 % 18.61/4.92 | (187) ~ (all_0_135_135 = all_0_143_143) % 18.61/4.92 | (188) all_0_131_131 = e23 | all_0_131_131 = e22 | all_0_131_131 = e20 % 18.61/4.92 | (189) h4(all_0_138_138) = all_0_3_3 % 18.61/4.92 | (190) all_0_124_124 = e21 | all_0_125_125 = e21 | all_0_126_126 = e21 % 18.61/4.92 | (191) all_0_114_114 = all_0_136_136 | all_0_115_115 = all_0_140_140 | all_0_116_116 = all_0_144_144 | all_0_143_143 = e10 % 18.61/4.92 | (192) all_0_126_126 = e22 | all_0_126_126 = e21 | all_0_126_126 = e20 % 18.61/4.92 | (193) h1(all_0_144_144) = all_0_88_88 % 18.61/4.92 | (194) h4(e13) = e23 % 18.61/4.92 | (195) h4(all_0_143_143) = all_0_8_8 % 18.61/4.92 | (196) ~ (all_0_136_136 = all_0_144_144) % 18.61/4.92 | (197) ~ (e13 = e10) % 18.61/4.92 | (198) h3(all_0_144_144) = all_0_34_34 % 18.61/4.92 | (199) all_0_123_123 = e23 | all_0_124_124 = e23 | all_0_125_125 = e23 % 18.61/4.92 | (200) h2(e11) = all_0_129_129 % 18.61/4.92 | (201) op2(all_0_124_124, all_0_93_93) = all_0_25_25 % 18.61/4.92 | (202) all_0_127_127 = e22 | all_0_128_128 = e22 | all_0_130_130 = e22 % 18.61/4.92 | (203) all_0_140_140 = e13 | all_0_140_140 = e12 | all_0_140_140 = e11 % 18.61/4.92 | (204) ~ (all_0_135_135 = e11) % 18.61/4.92 | (205) h4(all_0_136_136) = all_0_1_1 % 18.61/4.92 | (206) op2(e20, e20) = all_0_134_134 % 18.61/4.92 | (207) ~ (e20 = e13) % 18.61/4.92 | (208) ~ (all_0_123_123 = all_0_131_131) % 18.61/4.92 | (209) h3(e13) = e22 % 18.61/4.92 | (210) all_0_138_138 = e10 | all_0_142_142 = e10 | all_0_146_146 = e10 % 18.61/4.92 | (211) ~ (all_0_123_123 = all_0_125_125) % 18.80/4.92 | (212) op1(e11, e13) = all_0_139_139 % 18.80/4.92 | (213) ~ (e20 = e11) % 18.80/4.92 | (214) all_0_145_145 = e13 | all_0_145_145 = e11 | all_0_145_145 = e10 % 18.80/4.92 | (215) ~ (all_0_143_143 = e11) % 18.80/4.92 | (216) op2(all_0_124_124, e22) = all_0_23_23 % 18.80/4.92 | (217) ~ (all_0_124_124 = e20) % 18.80/4.92 | (218) h2(e12) = all_0_95_95 % 18.80/4.92 | (219) op1(all_0_137_137, e12) = all_0_117_117 % 18.80/4.92 | (220) ~ (all_0_136_136 = all_0_137_137) % 18.80/4.92 | (221) all_0_117_117 = all_0_137_137 | all_0_118_118 = all_0_141_141 | all_0_119_119 = all_0_145_145 | all_0_135_135 = e12 % 18.80/4.92 | (222) ~ (all_0_140_140 = e10) % 18.80/4.92 | (223) h1(all_0_143_143) = all_0_86_86 % 18.80/4.92 | (224) all_0_146_146 = e12 | all_0_146_146 = e11 | all_0_146_146 = e10 % 18.80/4.92 | (225) op2(e21, all_0_95_95) = all_0_39_39 % 18.80/4.92 | (226) ~ (all_0_126_126 = all_0_130_130) % 18.80/4.93 | (227) ~ (e23 = e10) % 18.80/4.93 | (228) ~ (all_0_127_127 = all_0_129_129) % 18.80/4.93 | (229) op2(all_0_129_129, all_0_95_95) = all_0_52_52 % 18.80/4.93 | (230) op2(all_0_134_134, all_0_134_134) = all_0_81_81 % 18.80/4.93 | (231) ~ (all_0_128_128 = e20) % 18.80/4.93 | (232) all_0_143_143 = e10 | all_0_145_145 = e10 | all_0_146_146 = e10 % 18.80/4.93 | (233) ~ (all_0_124_124 = all_0_128_128) % 18.80/4.93 | (234) ~ (all_0_129_129 = all_0_130_130) % 18.80/4.93 | (235) all_0_138_138 = e11 | all_0_142_142 = e11 | all_0_146_146 = e11 % 18.80/4.93 | (236) op2(e23, e21) = e22 % 18.80/4.93 | (237) h4(all_0_137_137) = all_0_2_2 % 18.80/4.93 | (238) ~ (all_0_126_126 = all_0_134_134) % 18.80/4.93 | (239) op1(e13, e12) = e10 % 18.80/4.93 | (240) ~ (all_0_124_124 = all_0_126_126) % 18.80/4.93 | (241) op2(all_0_129_129, e21) = all_0_106_106 % 18.80/4.93 | (242) ~ (all_0_132_132 = all_0_134_134) % 18.80/4.93 | (243) ~ (all_0_143_143 = all_0_145_145) % 18.80/4.93 | (244) all_0_139_139 = e13 | all_0_140_140 = e13 | all_0_141_141 = e13 % 18.80/4.93 | (245) op1(e11, e10) = all_0_142_142 % 18.80/4.93 | (246) ~ (all_0_127_127 = all_0_130_130) % 18.80/4.93 | (247) ~ (all_0_142_142 = e13) % 18.80/4.93 | (248) ~ (e22 = e21) % 18.80/4.93 | (249) op2(all_0_97_97, all_0_97_97) = all_0_71_71 % 18.80/4.93 | (250) op1(all_0_145_145, e10) = all_0_119_119 % 18.80/4.93 | (251) all_0_108_108 = all_0_126_126 | all_0_109_109 = all_0_130_130 | all_0_110_110 = all_0_134_134 % 18.80/4.93 | (252) all_0_125_125 = e20 | all_0_129_129 = e20 | all_0_133_133 = e20 % 18.80/4.93 | (253) h3(all_0_136_136) = all_0_18_18 % 18.80/4.93 | (254) op2(all_0_124_124, e22) = all_0_102_102 % 18.80/4.93 | (255) ~ (all_0_137_137 = e12) % 18.80/4.93 | (256) h1(all_0_136_136) = all_0_72_72 % 18.80/4.93 | (257) op2(all_0_93_93, e22) = all_0_15_15 % 18.80/4.93 | (258) h1(all_0_138_138) = all_0_76_76 % 18.80/4.93 | (259) all_0_123_123 = e22 | all_0_124_124 = e22 | all_0_126_126 = e22 % 18.80/4.93 | (260) op2(e20, all_0_134_134) = all_0_97_97 % 18.80/4.93 | (261) ~ (e23 = e12) % 18.80/4.93 | (262) ~ (all_0_135_135 = all_0_138_138) % 18.80/4.93 | (263) all_0_136_136 = e12 | all_0_140_140 = e12 | all_0_144_144 = e12 % 18.80/4.93 | (264) ~ (all_0_140_140 = all_0_141_141) % 18.80/4.93 | (265) ~ (all_0_130_130 = e23) % 18.80/4.93 | (266) ~ (all_0_136_136 = all_0_140_140) % 18.80/4.93 | (267) ~ (all_0_123_123 = all_0_126_126) % 18.80/4.93 | (268) all_0_136_136 = e11 | all_0_137_137 = e11 | all_0_138_138 = e11 % 18.80/4.93 | (269) op1(all_0_142_142, e11) = all_0_121_121 % 18.80/4.93 | (270) op2(all_0_96_96, all_0_96_96) = all_0_64_64 % 18.80/4.93 | (271) op2(all_0_134_134, all_0_97_97) = all_0_79_79 % 18.80/4.93 | (272) op2(all_0_124_124, all_0_124_124) = all_0_27_27 % 18.80/4.93 | (273) op2(e20, all_0_97_97) = all_0_98_98 % 18.80/4.93 | (274) op2(e22, e21) = all_0_125_125 % 18.80/4.93 | (275) ~ (e20 = e12) % 18.80/4.93 | (276) ~ (e23 = e20) % 18.80/4.93 | (277) h1(all_0_139_139) = all_0_78_78 % 18.80/4.93 | (278) all_0_124_124 = e23 | all_0_128_128 = e23 | all_0_132_132 = e23 % 18.80/4.93 | (279) ~ (all_0_135_135 = all_0_136_136) % 18.80/4.93 | (280) h3(all_0_146_146) = all_0_38_38 % 18.80/4.93 | (281) ~ (all_0_129_129 = e22) % 18.80/4.93 | (282) h1(e12) = all_0_97_97 % 18.80/4.93 | (283) op1(e12, e11) = all_0_137_137 % 18.80/4.93 | (284) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0)) % 18.80/4.94 | (285) all_0_135_135 = e12 | all_0_136_136 = e12 | all_0_138_138 = e12 % 18.80/4.94 | (286) h4(all_0_140_140) = all_0_5_5 % 18.80/4.94 | (287) op2(all_0_95_95, all_0_95_95) = all_0_44_44 % 18.80/4.94 | (288) ~ (e23 = e21) % 18.80/4.94 | (289) ~ (e22 = e13) % 18.80/4.94 | (290) ~ (e22 = e12) % 18.80/4.94 | (291) op1(e13, e11) = e12 % 18.80/4.94 | (292) ~ (e13 = e12) % 18.87/4.94 | (293) op2(e21, e20) = all_0_130_130 % 18.87/4.94 | (294) op2(e21, e23) = all_0_127_127 % 18.87/4.94 | (295) op2(all_0_95_95, e21) = all_0_42_42 % 18.87/4.94 | (296) ~ (all_0_139_139 = all_0_141_141) % 18.87/4.94 | (297) ~ (e11 = e10) % 18.87/4.94 | (298) ~ (all_0_145_145 = e12) % 18.87/4.94 | (299) h4(all_0_139_139) = all_0_4_4 % 18.87/4.94 | (300) op2(all_0_96_96, all_0_95_95) = all_0_60_60 % 18.87/4.94 | (301) all_0_135_135 = e10 | all_0_139_139 = e10 | all_0_143_143 = e10 % 18.87/4.94 | (302) op2(all_0_97_97, e20) = all_0_69_69 % 18.87/4.94 | (303) op2(all_0_94_94, all_0_124_124) = all_0_35_35 % 18.87/4.94 | (304) ~ (all_0_123_123 = all_0_127_127) % 18.87/4.94 | (305) ~ (all_0_141_141 = all_0_145_145) % 18.87/4.94 | (306) all_0_134_134 = e22 | all_0_134_134 = e21 | all_0_134_134 = e20 % 18.87/4.94 | (307) all_0_143_143 = e13 | all_0_143_143 = e12 | all_0_143_143 = e10 % 18.87/4.94 | (308) all_0_123_123 = e22 | all_0_127_127 = e22 | all_0_131_131 = e22 % 18.87/4.94 | (309) all_0_135_135 = e13 | all_0_135_135 = e12 | all_0_135_135 = e10 % 18.87/4.94 | (310) ~ (e23 = e11) % 18.87/4.94 | (311) all_0_123_123 = e23 | all_0_123_123 = e22 | all_0_123_123 = e20 % 18.87/4.94 | (312) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0)) % 18.87/4.94 | (313) ~ (e12 = e11) % 18.87/4.94 | (314) op2(all_0_129_129, all_0_96_96) = all_0_56_56 % 18.87/4.94 | (315) op2(all_0_93_93, all_0_93_93) = all_0_17_17 % 18.87/4.94 | (316) ~ (all_0_138_138 = all_0_142_142) % 18.87/4.94 | (317) h4(e10) = e20 % 18.87/4.94 | (318) ~ (e21 = e12) % 18.87/4.94 | (319) ~ (all_0_136_136 = all_0_138_138) % 18.87/4.94 | (320) ~ (all_0_139_139 = all_0_142_142) % 18.87/4.94 | (321) op2(all_0_123_123, e22) = all_0_99_99 % 18.87/4.94 | (322) all_0_131_131 = e22 | all_0_132_132 = e22 | all_0_134_134 = e22 % 18.87/4.94 | (323) ~ (all_0_124_124 = all_0_125_125) % 18.87/4.94 | (324) h2(all_0_139_139) = all_0_51_51 % 18.87/4.94 | (325) all_0_131_131 = e20 | (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) | (all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_133_133 = e20 & ~ (all_0_127_127 = e23) & ~ (all_0_128_128 = e22) & ~ (all_0_129_129 = e21) & ~ (all_0_130_130 = e20) & ~ (all_0_134_134 = e21)) | ( ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) % 18.87/4.94 | (326) ~ (e21 = e20) % 18.87/4.94 | (327) ~ (all_0_125_125 = all_0_126_126) % 18.87/4.94 | (328) ~ (all_0_145_145 = all_0_146_146) % 18.87/4.94 | (329) ~ (all_0_127_127 = e21) % 18.87/4.94 | (330) h3(e10) = all_0_94_94 % 18.87/4.94 | (331) h3(all_0_137_137) = all_0_20_20 % 18.87/4.94 | (332) ~ (all_0_12_12 = all_0_94_94) | ~ (all_0_13_13 = all_0_93_93) | ~ (all_0_14_14 = e22) | ~ (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_93_93 = e23) & ~ (all_0_94_94 = e23) & ~ (all_0_124_124 = e23)) | ( ~ (all_0_93_93 = e21) & ~ (all_0_94_94 = e21) & ~ (all_0_124_124 = e21)) | ( ~ (all_0_93_93 = e20) & ~ (all_0_94_94 = e20)) % 18.87/4.94 | (333) op1(e10, e13) = all_0_143_143 % 18.87/4.94 | (334) all_0_144_144 = e13 | all_0_144_144 = e12 | all_0_144_144 = e11 % 18.87/4.94 | (335) all_0_143_143 = e10 | (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11)) | ( ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 18.87/4.94 | (336) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0)) % 18.87/4.94 | (337) ~ (e21 = e13) % 18.87/4.94 | (338) op2(e21, e21) = all_0_129_129 % 18.87/4.94 | (339) op2(all_0_133_133, e20) = all_0_107_107 % 18.87/4.95 | (340) op1(e10, e10) = all_0_146_146 % 18.87/4.95 | (341) op2(e22, e22) = all_0_124_124 % 18.87/4.95 | (342) h3(all_0_140_140) = all_0_26_26 % 18.87/4.95 | (343) op2(e22, all_0_124_124) = all_0_93_93 % 18.87/4.95 | (344) all_0_126_126 = e21 | all_0_130_130 = e21 | all_0_134_134 = e21 % 18.87/4.95 | (345) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0)) % 18.87/4.95 | (346) op2(e23, e22) = e20 % 18.87/4.95 | (347) op2(all_0_98_98, all_0_134_134) = all_0_89_89 % 18.87/4.95 | (348) op2(e20, e22) = all_0_132_132 % 18.87/4.95 | (349) ~ (e13 = e11) % 18.87/4.95 | (350) ~ (all_0_124_124 = all_0_132_132) % 18.87/4.95 | (351) h3(all_0_141_141) = all_0_28_28 % 18.87/4.95 | (352) h2(all_0_141_141) = all_0_55_55 % 18.87/4.95 | (353) ~ (all_0_123_123 = e21) % 18.87/4.95 | (354) op2(e20, all_0_134_134) = all_0_67_67 % 18.87/4.95 | (355) op2(e22, all_0_93_93) = all_0_12_12 % 18.87/4.95 | (356) all_0_130_130 = e22 | all_0_130_130 = e21 | all_0_130_130 = e20 % 18.87/4.95 | (357) h2(all_0_140_140) = all_0_53_53 % 18.87/4.95 | (358) h1(e11) = all_0_134_134 % 18.87/4.95 | (359) op2(e22, e23) = all_0_123_123 % 18.87/4.95 | (360) ~ (all_0_143_143 = all_0_144_144) % 18.87/4.95 | (361) op1(all_0_141_141, e11) = all_0_118_118 % 18.87/4.95 | (362) all_0_123_123 = e20 | all_0_125_125 = e20 | all_0_126_126 = e20 % 18.87/4.95 | (363) ~ (all_0_143_143 = all_0_146_146) % 18.87/4.95 | (364) op1(e13, e13) = e11 % 18.87/4.95 | (365) op1(e13, e10) = e13 % 18.87/4.95 | (366) all_0_124_124 = e21 | all_0_128_128 = e21 | all_0_132_132 = e21 % 18.87/4.95 | (367) h1(all_0_141_141) = all_0_82_82 % 18.87/4.95 | (368) ~ (all_0_128_128 = all_0_129_129) % 18.87/4.95 | (369) ~ (e22 = e10) % 18.87/4.95 | (370) ~ (all_0_144_144 = all_0_145_145) % 18.87/4.95 | (371) all_0_126_126 = e20 | all_0_130_130 = e20 | all_0_134_134 = e20 % 18.87/4.95 | (372) op2(all_0_134_134, e20) = all_0_77_77 % 18.87/4.95 | (373) h1(e13) = e20 % 18.87/4.95 | (374) ~ (all_0_125_125 = all_0_129_129) % 18.87/4.95 | (375) all_0_105_105 = all_0_125_125 | all_0_106_106 = all_0_129_129 | all_0_107_107 = all_0_133_133 | all_0_123_123 = e22 % 18.87/4.95 | (376) all_0_135_135 = e12 | all_0_139_139 = e12 | all_0_143_143 = e12 % 18.87/4.95 | % 18.87/4.95 | Instantiating formula (3) with all_0_124_124, e22, all_0_102_102, all_0_23_23 and discharging atoms op2(all_0_124_124, e22) = all_0_23_23, op2(all_0_124_124, e22) = all_0_102_102, yields: % 18.87/4.95 | (377) all_0_23_23 = all_0_102_102 % 18.87/4.95 | % 18.87/4.95 | Instantiating formula (3) with all_0_129_129, e21, all_0_106_106, all_0_50_50 and discharging atoms op2(all_0_129_129, e21) = all_0_50_50, op2(all_0_129_129, e21) = all_0_106_106, yields: % 18.87/4.95 | (378) all_0_50_50 = all_0_106_106 % 18.87/4.95 | % 18.87/4.95 | Instantiating formula (3) with all_0_134_134, e20, all_0_110_110, all_0_77_77 and discharging atoms op2(all_0_134_134, e20) = all_0_77_77, op2(all_0_134_134, e20) = all_0_110_110, yields: % 18.87/4.95 | (379) all_0_77_77 = all_0_110_110 % 18.87/4.95 | % 18.87/4.95 | Instantiating formula (3) with e22, all_0_93_93, all_0_94_94, all_0_12_12 and discharging atoms op2(e22, all_0_93_93) = all_0_12_12, op2(e22, all_0_93_93) = all_0_94_94, yields: % 18.87/4.95 | (380) all_0_12_12 = all_0_94_94 % 18.87/4.95 | % 18.87/4.95 | Instantiating formula (3) with e22, all_0_124_124, all_0_93_93, all_0_13_13 and discharging atoms op2(e22, all_0_124_124) = all_0_13_13, op2(e22, all_0_124_124) = all_0_93_93, yields: % 18.87/4.95 | (381) all_0_13_13 = all_0_93_93 % 18.87/4.95 | % 18.87/4.95 | Instantiating formula (3) with e21, all_0_95_95, all_0_96_96, all_0_39_39 and discharging atoms op2(e21, all_0_95_95) = all_0_39_39, op2(e21, all_0_95_95) = all_0_96_96, yields: % 18.87/4.95 | (382) all_0_39_39 = all_0_96_96 % 18.87/4.95 | % 18.87/4.95 | Instantiating formula (3) with e21, all_0_129_129, all_0_95_95, all_0_40_40 and discharging atoms op2(e21, all_0_129_129) = all_0_40_40, op2(e21, all_0_129_129) = all_0_95_95, yields: % 18.87/4.95 | (383) all_0_40_40 = all_0_95_95 % 18.87/4.95 | % 18.87/4.95 | Instantiating formula (3) with e20, all_0_134_134, all_0_97_97, all_0_67_67 and discharging atoms op2(e20, all_0_134_134) = all_0_67_67, op2(e20, all_0_134_134) = all_0_97_97, yields: % 18.87/4.95 | (384) all_0_67_67 = all_0_97_97 % 18.87/4.95 | % 18.87/4.95 | From (377) and (216) follows: % 18.87/4.95 | (254) op2(all_0_124_124, e22) = all_0_102_102 % 18.87/4.95 | % 18.87/4.95 | From (378) and (183) follows: % 18.87/4.95 | (241) op2(all_0_129_129, e21) = all_0_106_106 % 18.87/4.95 | % 18.87/4.95 | From (379) and (372) follows: % 18.87/4.95 | (16) op2(all_0_134_134, e20) = all_0_110_110 % 18.87/4.95 | % 18.87/4.95 | From (380) and (355) follows: % 18.87/4.95 | (95) op2(e22, all_0_93_93) = all_0_94_94 % 18.87/4.95 | % 18.87/4.95 | From (381) and (184) follows: % 18.87/4.95 | (343) op2(e22, all_0_124_124) = all_0_93_93 % 18.87/4.95 | % 18.87/4.95 | From (382) and (225) follows: % 18.87/4.95 | (31) op2(e21, all_0_95_95) = all_0_96_96 % 18.87/4.95 | % 18.87/4.95 | From (383) and (60) follows: % 18.87/4.95 | (140) op2(e21, all_0_129_129) = all_0_95_95 % 18.87/4.95 | % 18.87/4.95 | From (384) and (354) follows: % 18.87/4.95 | (260) op2(e20, all_0_134_134) = all_0_97_97 % 18.87/4.95 | % 18.87/4.95 +-Applying beta-rule and splitting (306), into two cases. % 18.87/4.95 |-Branch one: % 18.87/4.95 | (393) all_0_134_134 = e21 % 18.87/4.95 | % 18.87/4.95 | Equations (393) can reduce 238 to: % 18.87/4.95 | (394) ~ (all_0_126_126 = e21) % 18.87/4.95 | % 18.87/4.95 | Equations (393) can reduce 53 to: % 18.87/4.95 | (395) ~ (all_0_130_130 = e21) % 18.87/4.95 | % 18.87/4.95 | Equations (393) can reduce 242 to: % 18.87/4.95 | (396) ~ (all_0_132_132 = e21) % 18.87/4.95 | % 18.87/4.95 | Equations (393) can reduce 40 to: % 18.87/4.95 | (397) ~ (e23 = e21) % 18.87/4.95 | % 18.87/4.95 | Simplifying 397 yields: % 18.87/4.95 | (288) ~ (e23 = e21) % 18.87/4.95 | % 18.87/4.95 | From (393) and (16) follows: % 18.87/4.95 | (399) op2(e21, e20) = all_0_110_110 % 18.87/4.95 | % 18.87/4.95 | From (393) and (260) follows: % 18.87/4.95 | (400) op2(e20, e21) = all_0_97_97 % 18.87/4.95 | % 18.87/4.95 | Instantiating formula (3) with e21, e20, all_0_110_110, all_0_130_130 and discharging atoms op2(e21, e20) = all_0_110_110, op2(e21, e20) = all_0_130_130, yields: % 18.87/4.96 | (401) all_0_110_110 = all_0_130_130 % 18.87/4.96 | % 18.87/4.96 | Instantiating formula (3) with e20, e21, all_0_97_97, all_0_133_133 and discharging atoms op2(e20, e21) = all_0_97_97, op2(e20, e21) = all_0_133_133, yields: % 18.87/4.96 | (402) all_0_97_97 = all_0_133_133 % 18.87/4.96 | % 18.87/4.96 | From (402) and (400) follows: % 18.87/4.96 | (167) op2(e20, e21) = all_0_133_133 % 18.87/4.96 | % 18.87/4.96 +-Applying beta-rule and splitting (64), into two cases. % 18.87/4.96 |-Branch one: % 18.87/4.96 | (404) all_0_128_128 = e21 % 18.87/4.96 | % 18.87/4.96 | Equations (404) can reduce 233 to: % 18.87/4.96 | (405) ~ (all_0_124_124 = e21) % 18.87/4.96 | % 18.87/4.96 | Equations (404) can reduce 126 to: % 18.87/4.96 | (329) ~ (all_0_127_127 = e21) % 18.87/4.96 | % 18.87/4.96 | Equations (404) can reduce 80 to: % 18.87/4.96 | (407) ~ (all_0_130_130 = e21) % 18.87/4.96 | % 18.87/4.96 | Simplifying 407 yields: % 18.87/4.96 | (395) ~ (all_0_130_130 = e21) % 18.87/4.96 | % 18.87/4.96 | Equations (404) can reduce 231 to: % 18.87/4.96 | (326) ~ (e21 = e20) % 18.87/4.96 | % 18.87/4.96 +-Applying beta-rule and splitting (59), into two cases. % 18.87/4.96 |-Branch one: % 18.87/4.96 | (410) all_0_125_125 = e21 % 18.87/4.96 | % 18.87/4.96 | Equations (410) can reduce 211 to: % 18.87/4.96 | (353) ~ (all_0_123_123 = e21) % 18.87/4.96 | % 18.87/4.96 | Equations (410) can reduce 323 to: % 18.87/4.96 | (405) ~ (all_0_124_124 = e21) % 18.87/4.96 | % 18.87/4.96 | Equations (410) can reduce 327 to: % 18.87/4.96 | (413) ~ (all_0_126_126 = e21) % 18.87/4.96 | % 18.87/4.96 | Simplifying 413 yields: % 18.87/4.96 | (394) ~ (all_0_126_126 = e21) % 18.87/4.96 | % 18.87/4.96 | Equations (410) can reduce 374 to: % 18.87/4.96 | (415) ~ (all_0_129_129 = e21) % 18.87/4.96 | % 18.87/4.96 | Simplifying 415 yields: % 18.87/4.96 | (416) ~ (all_0_129_129 = e21) % 18.87/4.96 | % 18.87/4.96 | Equations (410) can reduce 84 to: % 18.87/4.96 | (417) ~ (all_0_133_133 = e21) % 18.87/4.96 | % 18.87/4.96 | Simplifying 417 yields: % 18.87/4.96 | (418) ~ (all_0_133_133 = e21) % 18.87/4.96 | % 18.87/4.96 | Equations (410) can reduce 151 to: % 18.87/4.96 | (419) ~ (e22 = e21) % 18.87/4.96 | % 18.87/4.96 | Simplifying 419 yields: % 18.87/4.96 | (248) ~ (e22 = e21) % 18.87/4.96 | % 18.87/4.96 | From (410) and (274) follows: % 18.87/4.96 | (421) op2(e22, e21) = e21 % 18.87/4.96 | % 18.87/4.96 +-Applying beta-rule and splitting (192), into two cases. % 18.87/4.96 |-Branch one: % 18.87/4.96 | (422) all_0_126_126 = e21 % 18.87/4.96 | % 18.87/4.96 | Equations (422) can reduce 394 to: % 18.87/4.96 | (423) $false % 18.87/4.96 | % 18.87/4.96 |-The branch is then unsatisfiable % 18.87/4.96 |-Branch two: % 18.87/4.96 | (394) ~ (all_0_126_126 = e21) % 18.87/4.96 | (425) all_0_126_126 = e22 | all_0_126_126 = e20 % 18.87/4.96 | % 18.87/4.96 +-Applying beta-rule and splitting (371), into two cases. % 18.87/4.96 |-Branch one: % 18.87/4.96 | (426) all_0_126_126 = e20 % 18.87/4.96 | % 18.87/4.96 | From (426) and (83) follows: % 18.87/4.96 | (427) op2(e20, e22) = all_0_108_108 % 18.87/4.96 | % 18.87/4.96 +-Applying beta-rule and splitting (123), into two cases. % 18.87/4.96 |-Branch one: % 18.87/4.96 | (428) all_0_126_126 = e22 % 18.87/4.96 | % 18.87/4.96 | Combining equations (426,428) yields a new equation: % 18.87/4.96 | (429) e22 = e20 % 18.87/4.96 | % 18.87/4.96 | Equations (429) can reduce 121 to: % 18.87/4.96 | (423) $false % 18.87/4.96 | % 18.87/4.96 |-The branch is then unsatisfiable % 18.87/4.96 |-Branch two: % 18.87/4.96 | (431) ~ (all_0_126_126 = e22) % 18.87/4.96 | (432) all_0_130_130 = e22 | all_0_134_134 = e22 % 18.87/4.96 | % 18.87/4.96 +-Applying beta-rule and splitting (432), into two cases. % 18.87/4.96 |-Branch one: % 18.87/4.96 | (433) all_0_130_130 = e22 % 18.87/4.96 | % 18.87/4.96 | Combining equations (433,401) yields a new equation: % 18.87/4.96 | (434) all_0_110_110 = e22 % 18.87/4.96 | % 18.87/4.96 | Equations (433) can reduce 395 to: % 18.87/4.96 | (248) ~ (e22 = e21) % 18.87/4.96 | % 18.87/4.96 | From (433) and (57) follows: % 18.87/4.96 | (436) op2(e22, e21) = all_0_109_109 % 18.87/4.96 | % 18.87/4.96 | Instantiating formula (3) with e22, e21, all_0_109_109, e21 and discharging atoms op2(e22, e21) = all_0_109_109, op2(e22, e21) = e21, yields: % 18.87/4.96 | (437) all_0_109_109 = e21 % 18.87/4.96 | % 18.87/4.96 | Instantiating formula (3) with e20, e22, all_0_108_108, all_0_132_132 and discharging atoms op2(e20, e22) = all_0_108_108, op2(e20, e22) = all_0_132_132, yields: % 18.87/4.96 | (438) all_0_108_108 = all_0_132_132 % 18.87/4.96 | % 18.87/4.96 +-Applying beta-rule and splitting (251), into two cases. % 18.87/4.96 |-Branch one: % 18.87/4.96 | (439) all_0_108_108 = all_0_126_126 % 18.87/4.96 | % 18.87/4.96 | Combining equations (438,439) yields a new equation: % 18.87/4.96 | (440) all_0_126_126 = all_0_132_132 % 18.87/4.96 | % 18.87/4.96 | Combining equations (426,440) yields a new equation: % 18.87/4.96 | (441) all_0_132_132 = e20 % 18.87/4.96 | % 18.87/4.96 | Equations (441) can reduce 17 to: % 18.87/4.96 | (423) $false % 18.87/4.96 | % 18.87/4.96 |-The branch is then unsatisfiable % 18.87/4.96 |-Branch two: % 18.87/4.96 | (443) ~ (all_0_108_108 = all_0_126_126) % 18.87/4.96 | (444) all_0_109_109 = all_0_130_130 | all_0_110_110 = all_0_134_134 % 18.87/4.96 | % 18.87/4.96 +-Applying beta-rule and splitting (444), into two cases. % 18.87/4.96 |-Branch one: % 18.87/4.96 | (445) all_0_109_109 = all_0_130_130 % 18.87/4.96 | % 18.87/4.96 | Combining equations (437,445) yields a new equation: % 18.87/4.96 | (446) all_0_130_130 = e21 % 18.87/4.96 | % 18.87/4.96 | Combining equations (446,433) yields a new equation: % 18.87/4.96 | (447) e22 = e21 % 18.87/4.96 | % 18.87/4.96 | Equations (447) can reduce 248 to: % 18.87/4.96 | (423) $false % 18.87/4.96 | % 18.87/4.96 |-The branch is then unsatisfiable % 18.87/4.96 |-Branch two: % 18.87/4.96 | (449) ~ (all_0_109_109 = all_0_130_130) % 18.87/4.96 | (450) all_0_110_110 = all_0_134_134 % 18.87/4.96 | % 18.87/4.96 | Combining equations (450,434) yields a new equation: % 18.87/4.96 | (451) all_0_134_134 = e22 % 18.87/4.96 | % 18.87/4.96 | Simplifying 451 yields: % 18.87/4.96 | (452) all_0_134_134 = e22 % 18.87/4.96 | % 18.87/4.96 | Combining equations (393,452) yields a new equation: % 18.87/4.96 | (447) e22 = e21 % 18.87/4.96 | % 18.87/4.96 | Equations (447) can reduce 248 to: % 18.87/4.96 | (423) $false % 18.87/4.96 | % 18.87/4.96 |-The branch is then unsatisfiable % 18.87/4.96 |-Branch two: % 18.87/4.96 | (455) ~ (all_0_130_130 = e22) % 18.87/4.96 | (452) all_0_134_134 = e22 % 18.87/4.96 | % 18.87/4.96 | Combining equations (452,393) yields a new equation: % 18.87/4.96 | (457) e22 = e21 % 18.87/4.96 | % 18.87/4.96 | Simplifying 457 yields: % 18.87/4.96 | (447) e22 = e21 % 18.87/4.96 | % 18.87/4.96 | Equations (447) can reduce 248 to: % 18.87/4.96 | (423) $false % 18.87/4.96 | % 18.87/4.96 |-The branch is then unsatisfiable % 18.87/4.96 |-Branch two: % 18.87/4.96 | (460) ~ (all_0_126_126 = e20) % 18.87/4.96 | (461) all_0_130_130 = e20 | all_0_134_134 = e20 % 18.87/4.96 | % 18.87/4.96 +-Applying beta-rule and splitting (362), into two cases. % 18.87/4.96 |-Branch one: % 18.87/4.96 | (462) all_0_123_123 = e20 % 18.87/4.96 | % 18.87/4.96 | Equations (462) can reduce 267 to: % 18.87/4.96 | (463) ~ (all_0_126_126 = e20) % 18.87/4.96 | % 18.87/4.96 | Simplifying 463 yields: % 18.87/4.96 | (460) ~ (all_0_126_126 = e20) % 18.87/4.96 | % 18.87/4.96 | Equations (462) can reduce 353 to: % 18.87/4.96 | (465) ~ (e21 = e20) % 18.87/4.96 | % 18.87/4.96 | Simplifying 465 yields: % 18.87/4.96 | (326) ~ (e21 = e20) % 18.87/4.96 | % 18.87/4.96 +-Applying beta-rule and splitting (425), into two cases. % 18.87/4.96 |-Branch one: % 18.87/4.96 | (426) all_0_126_126 = e20 % 18.87/4.96 | % 18.87/4.97 | Equations (426) can reduce 460 to: % 18.87/4.97 | (423) $false % 18.87/4.97 | % 18.87/4.97 |-The branch is then unsatisfiable % 18.87/4.97 |-Branch two: % 18.87/4.97 | (460) ~ (all_0_126_126 = e20) % 18.87/4.97 | (428) all_0_126_126 = e22 % 18.87/4.97 | % 18.87/4.97 | Equations (428) can reduce 240 to: % 18.87/4.97 | (471) ~ (all_0_124_124 = e22) % 18.87/4.97 | % 18.87/4.97 | Equations (428) can reduce 394 to: % 18.87/4.97 | (248) ~ (e22 = e21) % 18.87/4.97 | % 18.87/4.97 +-Applying beta-rule and splitting (461), into two cases. % 18.87/4.97 |-Branch one: % 18.87/4.97 | (473) all_0_130_130 = e20 % 18.87/4.97 | % 18.87/4.97 | Equations (473) can reduce 234 to: % 18.87/4.97 | (474) ~ (all_0_129_129 = e20) % 18.87/4.97 | % 18.87/4.97 +-Applying beta-rule and splitting (138), into two cases. % 18.87/4.97 |-Branch one: % 18.87/4.97 | (475) all_0_129_129 = e21 % 18.87/4.97 | % 18.87/4.97 | Equations (475) can reduce 416 to: % 18.87/4.97 | (423) $false % 18.87/4.97 | % 18.87/4.97 |-The branch is then unsatisfiable % 18.87/4.97 |-Branch two: % 18.87/4.97 | (416) ~ (all_0_129_129 = e21) % 18.87/4.97 | (478) all_0_129_129 = e23 | all_0_129_129 = e20 % 18.87/4.97 | % 18.87/4.97 +-Applying beta-rule and splitting (478), into two cases. % 18.87/4.97 |-Branch one: % 18.87/4.97 | (479) all_0_129_129 = e20 % 18.87/4.97 | % 18.87/4.97 | Equations (479) can reduce 474 to: % 18.87/4.97 | (423) $false % 18.87/4.97 | % 18.87/4.97 |-The branch is then unsatisfiable % 18.87/4.97 |-Branch two: % 18.87/4.97 | (474) ~ (all_0_129_129 = e20) % 18.87/4.97 | (482) all_0_129_129 = e23 % 18.87/4.97 | % 18.87/4.97 | Equations (482) can reduce 228 to: % 18.87/4.97 | (483) ~ (all_0_127_127 = e23) % 18.87/4.97 | % 18.87/4.97 | Equations (482) can reduce 175 to: % 18.87/4.97 | (484) ~ (all_0_133_133 = e23) % 18.87/4.97 | % 18.87/4.97 | Simplifying 484 yields: % 18.87/4.97 | (485) ~ (all_0_133_133 = e23) % 18.87/4.97 | % 18.87/4.97 | Equations (482) can reduce 281 to: % 18.87/4.97 | (28) ~ (e23 = e22) % 18.87/4.97 | % 18.87/4.97 +-Applying beta-rule and splitting (185), into two cases. % 18.87/4.97 |-Branch one: % 18.87/4.97 | (487) all_0_124_124 = e21 % 18.87/4.97 | % 18.87/4.97 | Equations (487) can reduce 405 to: % 18.87/4.97 | (423) $false % 18.87/4.97 | % 18.87/4.97 |-The branch is then unsatisfiable % 18.87/4.97 |-Branch two: % 18.87/4.97 | (405) ~ (all_0_124_124 = e21) % 18.87/4.97 | (490) all_0_124_124 = e23 | all_0_124_124 = e22 % 18.87/4.97 | % 18.87/4.97 +-Applying beta-rule and splitting (202), into two cases. % 18.87/4.97 |-Branch one: % 18.87/4.97 | (491) all_0_127_127 = e22 % 18.87/4.97 | % 18.87/4.97 | Equations (491) can reduce 483 to: % 18.87/4.97 | (492) ~ (e23 = e22) % 18.87/4.97 | % 18.87/4.97 | Simplifying 492 yields: % 18.87/4.97 | (28) ~ (e23 = e22) % 18.87/4.97 | % 18.87/4.97 | Equations (491) can reduce 329 to: % 18.87/4.97 | (248) ~ (e22 = e21) % 18.87/4.97 | % 18.87/4.97 +-Applying beta-rule and splitting (51), into two cases. % 18.87/4.97 |-Branch one: % 18.87/4.97 | (495) all_0_133_133 = e21 % 18.87/4.97 | % 18.87/4.97 | Equations (495) can reduce 418 to: % 18.87/4.97 | (423) $false % 18.87/4.97 | % 18.87/4.97 |-The branch is then unsatisfiable % 18.87/4.97 |-Branch two: % 18.87/4.97 | (418) ~ (all_0_133_133 = e21) % 18.87/4.97 | (498) all_0_133_133 = e23 | all_0_133_133 = e20 % 18.87/4.97 | % 18.87/4.97 +-Applying beta-rule and splitting (128), into two cases. % 18.87/4.97 |-Branch one: % 18.87/4.97 | (499) all_0_124_124 = e22 % 18.87/4.97 | % 18.87/4.97 | Equations (499) can reduce 471 to: % 18.87/4.97 | (423) $false % 18.87/4.97 | % 18.87/4.97 |-The branch is then unsatisfiable % 18.87/4.97 |-Branch two: % 18.87/4.97 | (471) ~ (all_0_124_124 = e22) % 18.87/4.97 | (502) all_0_128_128 = e22 | all_0_132_132 = e22 % 18.87/4.97 | % 18.87/4.97 +-Applying beta-rule and splitting (502), into two cases. % 18.87/4.97 |-Branch one: % 18.87/4.97 | (503) all_0_128_128 = e22 % 18.87/4.97 | % 18.87/4.97 | Combining equations (503,404) yields a new equation: % 18.87/4.97 | (457) e22 = e21 % 18.87/4.97 | % 18.87/4.97 | Simplifying 457 yields: % 18.87/4.97 | (447) e22 = e21 % 18.87/4.97 | % 18.87/4.97 | Equations (447) can reduce 248 to: % 18.87/4.97 | (423) $false % 18.87/4.97 | % 18.87/4.97 |-The branch is then unsatisfiable % 18.87/4.97 |-Branch two: % 18.87/4.97 | (507) ~ (all_0_128_128 = e22) % 18.87/4.97 | (508) all_0_132_132 = e22 % 18.87/4.97 | % 18.87/4.97 | Equations (508) can reduce 58 to: % 18.87/4.97 | (509) ~ (all_0_133_133 = e22) % 18.87/4.97 | % 18.87/4.97 | Simplifying 509 yields: % 18.87/4.97 | (44) ~ (all_0_133_133 = e22) % 18.87/4.97 | % 18.87/4.97 +-Applying beta-rule and splitting (498), into two cases. % 18.87/4.97 |-Branch one: % 18.87/4.97 | (511) all_0_133_133 = e20 % 18.87/4.97 | % 18.87/4.97 | Equations (511) can reduce 108 to: % 18.87/4.97 | (512) ~ (all_0_131_131 = e20) % 18.87/4.97 | % 18.87/4.97 | Equations (511) can reduce 485 to: % 18.87/4.97 | (513) ~ (e23 = e20) % 18.87/4.97 | % 18.87/4.97 | Simplifying 513 yields: % 18.87/4.97 | (276) ~ (e23 = e20) % 18.87/4.97 | % 18.87/4.97 | Equations (511) can reduce 44 to: % 18.87/4.97 | (515) ~ (e22 = e20) % 18.87/4.97 | % 18.87/4.97 | Simplifying 515 yields: % 18.87/4.97 | (121) ~ (e22 = e20) % 18.87/4.97 | % 18.87/4.97 | Equations (511) can reduce 418 to: % 18.87/4.97 | (465) ~ (e21 = e20) % 18.87/4.97 | % 18.87/4.97 | Simplifying 465 yields: % 18.87/4.97 | (326) ~ (e21 = e20) % 18.87/4.97 | % 18.87/4.97 +-Applying beta-rule and splitting (42), into two cases. % 18.87/4.97 |-Branch one: % 18.87/4.97 | (519) all_0_131_131 = e23 % 18.87/4.97 | % 18.87/4.97 | Equations (519) can reduce 512 to: % 18.87/4.97 | (276) ~ (e23 = e20) % 18.87/4.97 | % 18.87/4.97 +-Applying beta-rule and splitting (199), into two cases. % 18.87/4.97 |-Branch one: % 18.87/4.97 | (521) all_0_123_123 = e23 % 18.87/4.97 | % 18.87/4.97 | Combining equations (462,521) yields a new equation: % 18.87/4.97 | (522) e23 = e20 % 18.87/4.97 | % 18.87/4.97 | Equations (522) can reduce 276 to: % 18.87/4.97 | (423) $false % 18.87/4.97 | % 18.87/4.97 |-The branch is then unsatisfiable % 18.87/4.97 |-Branch two: % 18.87/4.97 | (524) ~ (all_0_123_123 = e23) % 18.87/4.97 | (525) all_0_124_124 = e23 | all_0_125_125 = e23 % 18.87/4.97 | % 18.87/4.97 | Equations (462) can reduce 524 to: % 18.87/4.97 | (513) ~ (e23 = e20) % 18.87/4.97 | % 18.87/4.97 | Simplifying 513 yields: % 18.87/4.97 | (276) ~ (e23 = e20) % 18.87/4.97 | % 18.87/4.97 +-Applying beta-rule and splitting (325), into two cases. % 18.87/4.97 |-Branch one: % 18.87/4.97 | (528) all_0_131_131 = e20 % 18.87/4.97 | % 18.87/4.97 | Combining equations (519,528) yields a new equation: % 18.87/4.97 | (529) e23 = e20 % 18.87/4.97 | % 18.87/4.97 | Simplifying 529 yields: % 18.87/4.97 | (522) e23 = e20 % 18.87/4.97 | % 18.87/4.97 | Equations (522) can reduce 276 to: % 18.87/4.97 | (423) $false % 18.87/4.97 | % 18.87/4.97 |-The branch is then unsatisfiable % 18.87/4.97 |-Branch two: % 18.87/4.97 | (512) ~ (all_0_131_131 = e20) % 18.87/4.97 | (533) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) | (all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_133_133 = e20 & ~ (all_0_127_127 = e23) & ~ (all_0_128_128 = e22) & ~ (all_0_129_129 = e21) & ~ (all_0_130_130 = e20) & ~ (all_0_134_134 = e21)) | ( ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) % 18.87/4.97 | % 18.87/4.97 +-Applying beta-rule and splitting (533), into two cases. % 18.87/4.97 |-Branch one: % 18.87/4.97 | (534) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) | (all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_133_133 = e20 & ~ (all_0_127_127 = e23) & ~ (all_0_128_128 = e22) & ~ (all_0_129_129 = e21) & ~ (all_0_130_130 = e20) & ~ (all_0_134_134 = e21)) % 18.87/4.97 | % 18.87/4.97 +-Applying beta-rule and splitting (534), into two cases. % 18.87/4.97 |-Branch one: % 18.87/4.97 | (535) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) | (all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) % 18.87/4.98 | % 18.87/4.98 +-Applying beta-rule and splitting (535), into two cases. % 18.87/4.98 |-Branch one: % 18.87/4.98 | (536) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) % 18.87/4.98 | % 18.87/4.98 +-Applying beta-rule and splitting (536), into two cases. % 18.87/4.98 |-Branch one: % 18.87/4.98 | (537) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) % 18.87/4.98 | % 18.87/4.98 +-Applying beta-rule and splitting (537), into two cases. % 18.87/4.98 |-Branch one: % 18.87/4.98 | (538) all_0_123_123 = e22 & ~ (all_0_124_124 = e23) % 18.87/4.98 | % 18.87/4.98 | Applying alpha-rule on (538) yields: % 18.87/4.98 | (539) all_0_123_123 = e22 % 18.87/4.98 | (540) ~ (all_0_124_124 = e23) % 18.87/4.98 | % 18.87/4.98 | Combining equations (462,539) yields a new equation: % 18.87/4.98 | (429) e22 = e20 % 18.87/4.98 | % 18.87/4.98 | Equations (429) can reduce 121 to: % 18.87/4.98 | (423) $false % 18.87/4.98 | % 18.87/4.98 |-The branch is then unsatisfiable % 18.87/4.98 |-Branch two: % 18.87/4.98 | (543) all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20) % 18.87/4.98 | % 18.87/4.98 | Applying alpha-rule on (543) yields: % 18.87/4.98 | (428) all_0_126_126 = e22 % 18.87/4.98 | (545) ~ (all_0_132_132 = e22) % 18.87/4.98 | (418) ~ (all_0_133_133 = e21) % 18.87/4.98 | (547) ~ (all_0_134_134 = e20) % 18.87/4.98 | (548) ~ (all_0_131_131 = e23) % 18.87/4.98 | % 18.87/4.98 | Equations (508) can reduce 545 to: % 18.87/4.98 | (423) $false % 18.87/4.98 | % 18.87/4.98 |-The branch is then unsatisfiable % 18.87/4.98 |-Branch two: % 18.87/4.98 | (550) all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20) % 18.87/4.98 | % 18.87/4.98 | Applying alpha-rule on (550) yields: % 18.87/4.98 | (471) ~ (all_0_124_124 = e22) % 18.87/4.98 | (404) all_0_128_128 = e21 % 18.87/4.98 | (553) ~ (all_0_125_125 = e21) % 18.87/4.98 | (460) ~ (all_0_126_126 = e20) % 18.87/4.98 | (524) ~ (all_0_123_123 = e23) % 18.87/4.98 | % 18.87/4.98 | Equations (410) can reduce 553 to: % 18.87/4.98 | (423) $false % 18.87/4.98 | % 18.87/4.98 |-The branch is then unsatisfiable % 18.87/4.98 |-Branch two: % 18.87/4.98 | (557) all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20) % 18.87/4.98 | % 18.87/4.98 | Applying alpha-rule on (557) yields: % 18.87/4.98 | (545) ~ (all_0_132_132 = e22) % 18.87/4.98 | (418) ~ (all_0_133_133 = e21) % 18.87/4.98 | (547) ~ (all_0_134_134 = e20) % 18.87/4.98 | (474) ~ (all_0_129_129 = e20) % 18.87/4.98 | (446) all_0_130_130 = e21 % 18.87/4.98 | (548) ~ (all_0_131_131 = e23) % 18.87/4.98 | % 18.87/4.98 | Combining equations (473,446) yields a new equation: % 18.87/4.98 | (564) e21 = e20 % 18.87/4.98 | % 18.87/4.98 | Equations (564) can reduce 326 to: % 18.87/4.98 | (423) $false % 18.87/4.98 | % 18.87/4.98 |-The branch is then unsatisfiable % 18.87/4.98 |-Branch two: % 18.87/4.98 | (566) all_0_133_133 = e20 & ~ (all_0_127_127 = e23) & ~ (all_0_128_128 = e22) & ~ (all_0_129_129 = e21) & ~ (all_0_130_130 = e20) & ~ (all_0_134_134 = e21) % 18.87/4.98 | % 18.87/4.98 | Applying alpha-rule on (566) yields: % 18.87/4.98 | (567) ~ (all_0_134_134 = e21) % 18.87/4.98 | (511) all_0_133_133 = e20 % 18.87/4.98 | (416) ~ (all_0_129_129 = e21) % 18.87/4.98 | (483) ~ (all_0_127_127 = e23) % 18.87/4.98 | (507) ~ (all_0_128_128 = e22) % 18.87/4.98 | (572) ~ (all_0_130_130 = e20) % 18.87/4.98 | % 18.87/4.98 | Equations (393) can reduce 567 to: % 18.87/4.98 | (423) $false % 18.87/4.98 | % 18.87/4.98 |-The branch is then unsatisfiable % 18.87/4.98 |-Branch two: % 18.87/4.98 | (574) ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20) % 18.87/4.98 | % 18.87/4.98 | Applying alpha-rule on (574) yields: % 18.87/4.98 | (548) ~ (all_0_131_131 = e23) % 18.87/4.98 | (545) ~ (all_0_132_132 = e22) % 18.87/4.98 | (418) ~ (all_0_133_133 = e21) % 18.87/4.98 | (547) ~ (all_0_134_134 = e20) % 18.87/4.98 | % 18.87/4.98 | Equations (508) can reduce 545 to: % 18.87/4.98 | (423) $false % 18.87/4.98 | % 18.87/4.98 |-The branch is then unsatisfiable % 18.87/4.98 |-Branch two: % 18.87/4.98 | (548) ~ (all_0_131_131 = e23) % 18.87/4.98 | (581) all_0_132_132 = e23 | all_0_133_133 = e23 % 18.87/4.98 | % 18.87/4.98 +-Applying beta-rule and splitting (581), into two cases. % 18.87/4.98 |-Branch one: % 18.87/4.98 | (582) all_0_132_132 = e23 % 18.87/4.98 | % 18.87/4.98 | Combining equations (582,508) yields a new equation: % 18.87/4.98 | (583) e23 = e22 % 18.87/4.98 | % 18.87/4.98 | Simplifying 583 yields: % 18.87/4.98 | (584) e23 = e22 % 18.87/4.98 | % 18.87/4.98 | Equations (584) can reduce 28 to: % 18.87/4.98 | (423) $false % 18.87/4.98 | % 18.87/4.98 |-The branch is then unsatisfiable % 18.87/4.98 |-Branch two: % 18.87/4.98 | (586) ~ (all_0_132_132 = e23) % 18.87/4.98 | (587) all_0_133_133 = e23 % 18.87/4.98 | % 18.87/4.98 | Combining equations (511,587) yields a new equation: % 18.87/4.98 | (522) e23 = e20 % 18.87/4.98 | % 18.87/4.98 | Equations (522) can reduce 276 to: % 18.87/4.98 | (423) $false % 18.87/4.98 | % 18.87/4.98 |-The branch is then unsatisfiable % 18.87/4.98 |-Branch two: % 18.87/4.98 | (590) ~ (all_0_133_133 = e20) % 18.87/4.98 | (587) all_0_133_133 = e23 % 18.87/4.98 | % 18.87/4.98 | Equations (587) can reduce 485 to: % 18.87/4.98 | (423) $false % 18.87/4.98 | % 18.87/4.98 |-The branch is then unsatisfiable % 18.87/4.98 |-Branch two: % 18.87/4.98 | (593) ~ (all_0_127_127 = e22) % 18.87/4.98 | (594) all_0_128_128 = e22 | all_0_130_130 = e22 % 18.87/4.98 | % 18.87/4.98 +-Applying beta-rule and splitting (51), into two cases. % 18.87/4.98 |-Branch one: % 18.87/4.98 | (495) all_0_133_133 = e21 % 18.87/4.98 | % 18.87/4.98 | Equations (495) can reduce 418 to: % 18.87/4.98 | (423) $false % 18.87/4.98 | % 18.87/4.98 |-The branch is then unsatisfiable % 18.87/4.98 |-Branch two: % 18.87/4.98 | (418) ~ (all_0_133_133 = e21) % 18.87/4.98 | (498) all_0_133_133 = e23 | all_0_133_133 = e20 % 18.87/4.98 | % 18.87/4.98 +-Applying beta-rule and splitting (128), into two cases. % 18.87/4.98 |-Branch one: % 18.87/4.98 | (499) all_0_124_124 = e22 % 18.87/4.98 | % 18.87/4.98 | Equations (499) can reduce 471 to: % 18.87/4.98 | (423) $false % 18.87/4.98 | % 18.87/4.98 |-The branch is then unsatisfiable % 18.87/4.98 |-Branch two: % 18.87/4.98 | (471) ~ (all_0_124_124 = e22) % 18.87/4.98 | (502) all_0_128_128 = e22 | all_0_132_132 = e22 % 18.87/4.98 | % 18.87/4.98 +-Applying beta-rule and splitting (502), into two cases. % 18.87/4.98 |-Branch one: % 18.87/4.98 | (503) all_0_128_128 = e22 % 18.87/4.98 | % 18.87/4.98 | Combining equations (503,404) yields a new equation: % 18.87/4.98 | (457) e22 = e21 % 18.87/4.98 | % 18.87/4.98 | Simplifying 457 yields: % 18.87/4.98 | (447) e22 = e21 % 18.87/4.98 | % 18.87/4.98 | Equations (447) can reduce 248 to: % 18.87/4.98 | (423) $false % 18.87/4.98 | % 18.87/4.98 |-The branch is then unsatisfiable % 18.87/4.98 |-Branch two: % 18.87/4.98 | (507) ~ (all_0_128_128 = e22) % 18.87/4.98 | (508) all_0_132_132 = e22 % 18.87/4.98 | % 18.87/4.98 | Equations (508) can reduce 350 to: % 18.87/4.98 | (471) ~ (all_0_124_124 = e22) % 18.87/4.98 | % 18.87/4.98 | Equations (508) can reduce 58 to: % 18.87/4.98 | (509) ~ (all_0_133_133 = e22) % 18.87/4.98 | % 18.87/4.98 | Simplifying 509 yields: % 18.87/4.98 | (44) ~ (all_0_133_133 = e22) % 18.87/4.98 | % 18.87/4.98 +-Applying beta-rule and splitting (42), into two cases. % 18.87/4.98 |-Branch one: % 18.87/4.98 | (519) all_0_131_131 = e23 % 18.87/4.98 | % 18.87/4.98 | Equations (519) can reduce 108 to: % 18.87/4.98 | (484) ~ (all_0_133_133 = e23) % 18.87/4.98 | % 18.87/4.98 | Simplifying 484 yields: % 18.87/4.98 | (485) ~ (all_0_133_133 = e23) % 18.87/4.98 | % 18.87/4.98 +-Applying beta-rule and splitting (498), into two cases. % 18.87/4.98 |-Branch one: % 18.87/4.98 | (511) all_0_133_133 = e20 % 18.87/4.98 | % 18.87/4.98 | Equations (511) can reduce 44 to: % 18.87/4.98 | (515) ~ (e22 = e20) % 18.87/4.98 | % 18.87/4.99 | Simplifying 515 yields: % 18.87/4.99 | (121) ~ (e22 = e20) % 18.87/4.99 | % 18.87/4.99 +-Applying beta-rule and splitting (278), into two cases. % 18.87/4.99 |-Branch one: % 18.87/4.99 | (618) all_0_124_124 = e23 % 18.87/4.99 | % 18.87/4.99 | Equations (618) can reduce 471 to: % 18.87/4.99 | (28) ~ (e23 = e22) % 18.87/4.99 | % 18.87/4.99 +-Applying beta-rule and splitting (308), into two cases. % 18.87/4.99 |-Branch one: % 18.87/4.99 | (539) all_0_123_123 = e22 % 18.87/4.99 | % 18.87/4.99 | Combining equations (462,539) yields a new equation: % 18.87/4.99 | (429) e22 = e20 % 18.87/4.99 | % 18.87/4.99 | Equations (429) can reduce 121 to: % 18.87/4.99 | (423) $false % 18.87/4.99 | % 18.87/4.99 |-The branch is then unsatisfiable % 18.87/4.99 |-Branch two: % 18.87/4.99 | (623) ~ (all_0_123_123 = e22) % 18.87/4.99 | (624) all_0_127_127 = e22 | all_0_131_131 = e22 % 18.87/4.99 | % 18.87/4.99 +-Applying beta-rule and splitting (624), into two cases. % 18.87/4.99 |-Branch one: % 18.87/4.99 | (491) all_0_127_127 = e22 % 18.87/4.99 | % 18.87/4.99 | Equations (491) can reduce 593 to: % 18.87/4.99 | (423) $false % 18.87/4.99 | % 18.87/4.99 |-The branch is then unsatisfiable % 18.87/4.99 |-Branch two: % 18.87/4.99 | (593) ~ (all_0_127_127 = e22) % 18.87/4.99 | (628) all_0_131_131 = e22 % 18.87/4.99 | % 18.87/4.99 | Combining equations (519,628) yields a new equation: % 18.87/4.99 | (583) e23 = e22 % 18.87/4.99 | % 18.87/4.99 | Simplifying 583 yields: % 18.87/4.99 | (584) e23 = e22 % 18.87/4.99 | % 18.87/4.99 | Equations (584) can reduce 28 to: % 18.87/4.99 | (423) $false % 18.87/4.99 | % 18.87/4.99 |-The branch is then unsatisfiable % 18.87/4.99 |-Branch two: % 18.87/4.99 | (540) ~ (all_0_124_124 = e23) % 18.87/4.99 | (633) all_0_128_128 = e23 | all_0_132_132 = e23 % 18.87/4.99 | % 18.87/4.99 +-Applying beta-rule and splitting (490), into two cases. % 18.87/4.99 |-Branch one: % 18.87/4.99 | (499) all_0_124_124 = e22 % 18.87/4.99 | % 18.87/4.99 | Equations (499) can reduce 471 to: % 18.87/4.99 | (423) $false % 18.87/4.99 | % 18.87/4.99 |-The branch is then unsatisfiable % 18.87/4.99 |-Branch two: % 18.87/4.99 | (471) ~ (all_0_124_124 = e22) % 18.87/4.99 | (618) all_0_124_124 = e23 % 18.87/4.99 | % 18.87/4.99 | Equations (618) can reduce 540 to: % 18.87/4.99 | (423) $false % 18.87/4.99 | % 18.87/4.99 |-The branch is then unsatisfiable % 18.87/4.99 |-Branch two: % 18.87/4.99 | (590) ~ (all_0_133_133 = e20) % 18.87/4.99 | (587) all_0_133_133 = e23 % 18.87/4.99 | % 18.87/4.99 | Equations (587) can reduce 485 to: % 18.87/4.99 | (423) $false % 18.87/4.99 | % 18.87/4.99 |-The branch is then unsatisfiable % 18.87/4.99 |-Branch two: % 18.87/4.99 | (548) ~ (all_0_131_131 = e23) % 18.87/4.99 | (581) all_0_132_132 = e23 | all_0_133_133 = e23 % 18.87/4.99 | % 18.87/4.99 +-Applying beta-rule and splitting (581), into two cases. % 18.87/4.99 |-Branch one: % 18.87/4.99 | (582) all_0_132_132 = e23 % 18.87/4.99 | % 18.87/4.99 | Combining equations (582,508) yields a new equation: % 18.87/4.99 | (583) e23 = e22 % 18.87/4.99 | % 18.87/4.99 | Simplifying 583 yields: % 18.87/4.99 | (584) e23 = e22 % 18.87/4.99 | % 18.87/4.99 | Equations (584) can reduce 28 to: % 18.87/4.99 | (423) $false % 18.87/4.99 | % 18.87/4.99 |-The branch is then unsatisfiable % 18.87/4.99 |-Branch two: % 18.87/4.99 | (586) ~ (all_0_132_132 = e23) % 18.87/4.99 | (587) all_0_133_133 = e23 % 18.87/4.99 | % 18.87/4.99 | Equations (587) can reduce 485 to: % 18.87/4.99 | (423) $false % 18.87/4.99 | % 18.87/4.99 |-The branch is then unsatisfiable % 18.87/4.99 |-Branch two: % 18.87/4.99 | (572) ~ (all_0_130_130 = e20) % 18.87/4.99 | (652) all_0_134_134 = e20 % 18.87/4.99 | % 18.87/4.99 | Combining equations (652,393) yields a new equation: % 18.87/4.99 | (564) e21 = e20 % 18.87/4.99 | % 18.87/4.99 | Equations (564) can reduce 326 to: % 18.87/4.99 | (423) $false % 18.87/4.99 | % 18.87/4.99 |-The branch is then unsatisfiable % 18.87/4.99 |-Branch two: % 18.87/4.99 | (655) ~ (all_0_123_123 = e20) % 18.87/4.99 | (656) all_0_125_125 = e20 | all_0_126_126 = e20 % 18.87/4.99 | % 18.87/4.99 +-Applying beta-rule and splitting (461), into two cases. % 18.87/4.99 |-Branch one: % 18.87/4.99 | (473) all_0_130_130 = e20 % 18.87/4.99 | % 18.87/4.99 | Equations (473) can reduce 226 to: % 18.87/4.99 | (460) ~ (all_0_126_126 = e20) % 18.87/4.99 | % 18.87/4.99 +-Applying beta-rule and splitting (425), into two cases. % 18.87/4.99 |-Branch one: % 18.87/4.99 | (426) all_0_126_126 = e20 % 18.87/4.99 | % 18.87/4.99 | Equations (426) can reduce 460 to: % 18.87/4.99 | (423) $false % 18.87/4.99 | % 18.87/4.99 |-The branch is then unsatisfiable % 18.87/4.99 |-Branch two: % 18.87/4.99 | (460) ~ (all_0_126_126 = e20) % 18.87/4.99 | (428) all_0_126_126 = e22 % 18.87/4.99 | % 18.87/4.99 | Equations (428) can reduce 267 to: % 18.87/4.99 | (623) ~ (all_0_123_123 = e22) % 18.87/4.99 | % 18.87/4.99 | Equations (428) can reduce 240 to: % 18.87/4.99 | (471) ~ (all_0_124_124 = e22) % 18.87/4.99 | % 18.87/4.99 +-Applying beta-rule and splitting (185), into two cases. % 18.87/4.99 |-Branch one: % 18.87/4.99 | (487) all_0_124_124 = e21 % 18.87/4.99 | % 18.87/4.99 | Equations (487) can reduce 405 to: % 18.87/4.99 | (423) $false % 18.87/4.99 | % 18.87/4.99 |-The branch is then unsatisfiable % 18.87/4.99 |-Branch two: % 18.87/4.99 | (405) ~ (all_0_124_124 = e21) % 18.87/4.99 | (490) all_0_124_124 = e23 | all_0_124_124 = e22 % 18.87/4.99 | % 18.87/4.99 +-Applying beta-rule and splitting (202), into two cases. % 18.87/4.99 |-Branch one: % 18.87/4.99 | (491) all_0_127_127 = e22 % 18.87/4.99 | % 18.87/4.99 | Equations (491) can reduce 304 to: % 18.87/4.99 | (623) ~ (all_0_123_123 = e22) % 18.87/4.99 | % 18.87/4.99 +-Applying beta-rule and splitting (490), into two cases. % 18.87/4.99 |-Branch one: % 18.87/4.99 | (499) all_0_124_124 = e22 % 18.87/4.99 | % 18.87/4.99 | Equations (499) can reduce 471 to: % 18.87/4.99 | (423) $false % 18.87/4.99 | % 18.87/4.99 |-The branch is then unsatisfiable % 18.87/4.99 |-Branch two: % 18.87/4.99 | (471) ~ (all_0_124_124 = e22) % 18.87/4.99 | (618) all_0_124_124 = e23 % 18.87/4.99 | % 18.87/4.99 | Equations (618) can reduce 62 to: % 18.87/4.99 | (524) ~ (all_0_123_123 = e23) % 18.87/4.99 | % 18.87/4.99 +-Applying beta-rule and splitting (22), into two cases. % 18.87/4.99 |-Branch one: % 18.87/4.99 | (462) all_0_123_123 = e20 % 18.87/4.99 | % 18.87/4.99 | Equations (462) can reduce 655 to: % 18.87/4.99 | (423) $false % 18.87/4.99 | % 18.87/4.99 |-The branch is then unsatisfiable % 18.87/4.99 |-Branch two: % 18.87/4.99 | (655) ~ (all_0_123_123 = e20) % 18.87/4.99 | (679) all_0_127_127 = e20 | all_0_131_131 = e20 % 18.87/4.99 | % 18.87/4.99 +-Applying beta-rule and splitting (311), into two cases. % 18.87/4.99 |-Branch one: % 18.87/4.99 | (462) all_0_123_123 = e20 % 18.87/4.99 | % 18.87/4.99 | Equations (462) can reduce 655 to: % 18.87/4.99 | (423) $false % 18.87/4.99 | % 18.87/4.99 |-The branch is then unsatisfiable % 18.87/4.99 |-Branch two: % 18.87/4.99 | (655) ~ (all_0_123_123 = e20) % 18.87/4.99 | (683) all_0_123_123 = e23 | all_0_123_123 = e22 % 18.87/4.99 | % 18.87/4.99 +-Applying beta-rule and splitting (683), into two cases. % 18.87/4.99 |-Branch one: % 18.87/4.99 | (539) all_0_123_123 = e22 % 18.87/4.99 | % 18.87/4.99 | Equations (539) can reduce 623 to: % 18.87/4.99 | (423) $false % 18.87/4.99 | % 18.87/4.99 |-The branch is then unsatisfiable % 18.87/4.99 |-Branch two: % 18.87/4.99 | (623) ~ (all_0_123_123 = e22) % 18.87/4.99 | (521) all_0_123_123 = e23 % 18.87/4.99 | % 18.87/4.99 | Equations (521) can reduce 524 to: % 18.87/4.99 | (423) $false % 18.87/4.99 | % 18.87/4.99 |-The branch is then unsatisfiable % 18.87/4.99 |-Branch two: % 18.87/4.99 | (593) ~ (all_0_127_127 = e22) % 18.87/4.99 | (594) all_0_128_128 = e22 | all_0_130_130 = e22 % 18.87/4.99 | % 18.87/4.99 +-Applying beta-rule and splitting (490), into two cases. % 18.87/4.99 |-Branch one: % 18.87/4.99 | (499) all_0_124_124 = e22 % 18.87/4.99 | % 18.87/4.99 | Equations (499) can reduce 471 to: % 18.87/4.99 | (423) $false % 18.87/4.99 | % 18.87/4.99 |-The branch is then unsatisfiable % 18.87/4.99 |-Branch two: % 18.87/4.99 | (471) ~ (all_0_124_124 = e22) % 18.87/5.00 | (618) all_0_124_124 = e23 % 18.87/5.00 | % 18.87/5.00 | Equations (618) can reduce 62 to: % 18.87/5.00 | (524) ~ (all_0_123_123 = e23) % 18.87/5.00 | % 18.87/5.00 +-Applying beta-rule and splitting (308), into two cases. % 18.87/5.00 |-Branch one: % 18.87/5.00 | (539) all_0_123_123 = e22 % 18.87/5.00 | % 18.87/5.00 | Equations (539) can reduce 623 to: % 18.87/5.00 | (423) $false % 18.87/5.00 | % 18.87/5.00 |-The branch is then unsatisfiable % 18.87/5.00 |-Branch two: % 18.87/5.00 | (623) ~ (all_0_123_123 = e22) % 18.87/5.00 | (624) all_0_127_127 = e22 | all_0_131_131 = e22 % 18.87/5.00 | % 18.87/5.00 +-Applying beta-rule and splitting (22), into two cases. % 18.87/5.00 |-Branch one: % 18.87/5.00 | (462) all_0_123_123 = e20 % 18.87/5.00 | % 18.87/5.00 | Equations (462) can reduce 655 to: % 18.87/5.00 | (423) $false % 18.87/5.00 | % 18.87/5.00 |-The branch is then unsatisfiable % 18.87/5.00 |-Branch two: % 18.87/5.00 | (655) ~ (all_0_123_123 = e20) % 18.87/5.00 | (679) all_0_127_127 = e20 | all_0_131_131 = e20 % 18.87/5.00 | % 18.87/5.00 +-Applying beta-rule and splitting (311), into two cases. % 18.87/5.00 |-Branch one: % 18.87/5.00 | (462) all_0_123_123 = e20 % 18.87/5.00 | % 18.87/5.00 | Equations (462) can reduce 655 to: % 18.87/5.00 | (423) $false % 18.87/5.00 | % 18.87/5.00 |-The branch is then unsatisfiable % 18.87/5.00 |-Branch two: % 18.87/5.00 | (655) ~ (all_0_123_123 = e20) % 18.87/5.00 | (683) all_0_123_123 = e23 | all_0_123_123 = e22 % 18.87/5.00 | % 18.87/5.00 +-Applying beta-rule and splitting (624), into two cases. % 18.87/5.00 |-Branch one: % 18.87/5.00 | (491) all_0_127_127 = e22 % 18.87/5.00 | % 18.87/5.00 | Equations (491) can reduce 593 to: % 18.87/5.00 | (423) $false % 18.87/5.00 | % 18.87/5.00 |-The branch is then unsatisfiable % 18.87/5.00 |-Branch two: % 18.87/5.00 | (593) ~ (all_0_127_127 = e22) % 18.87/5.00 | (628) all_0_131_131 = e22 % 18.87/5.00 | % 18.87/5.00 | Equations (628) can reduce 208 to: % 18.87/5.00 | (623) ~ (all_0_123_123 = e22) % 18.87/5.00 | % 18.87/5.00 +-Applying beta-rule and splitting (683), into two cases. % 18.87/5.00 |-Branch one: % 18.87/5.00 | (539) all_0_123_123 = e22 % 18.87/5.00 | % 18.87/5.00 | Equations (539) can reduce 623 to: % 18.87/5.00 | (423) $false % 18.87/5.00 | % 18.87/5.00 |-The branch is then unsatisfiable % 18.87/5.00 |-Branch two: % 18.87/5.00 | (623) ~ (all_0_123_123 = e22) % 18.87/5.00 | (521) all_0_123_123 = e23 % 18.87/5.00 | % 18.87/5.00 | Equations (521) can reduce 524 to: % 18.87/5.00 | (423) $false % 18.87/5.00 | % 18.87/5.00 |-The branch is then unsatisfiable % 18.87/5.00 |-Branch two: % 18.87/5.00 | (572) ~ (all_0_130_130 = e20) % 18.87/5.00 | (652) all_0_134_134 = e20 % 18.87/5.00 | % 18.87/5.00 | Combining equations (652,393) yields a new equation: % 18.87/5.00 | (564) e21 = e20 % 18.87/5.00 | % 18.87/5.00 | Equations (564) can reduce 326 to: % 18.87/5.00 | (423) $false % 18.87/5.00 | % 18.87/5.00 |-The branch is then unsatisfiable % 18.87/5.00 |-Branch two: % 18.87/5.00 | (553) ~ (all_0_125_125 = e21) % 18.87/5.00 | (723) all_0_129_129 = e21 | all_0_133_133 = e21 % 18.87/5.00 | % 18.87/5.00 +-Applying beta-rule and splitting (190), into two cases. % 18.87/5.00 |-Branch one: % 18.87/5.00 | (487) all_0_124_124 = e21 % 18.87/5.00 | % 18.87/5.00 | Equations (487) can reduce 405 to: % 18.87/5.00 | (423) $false % 18.87/5.00 | % 18.87/5.00 |-The branch is then unsatisfiable % 18.87/5.00 |-Branch two: % 18.87/5.00 | (405) ~ (all_0_124_124 = e21) % 18.87/5.00 | (727) all_0_125_125 = e21 | all_0_126_126 = e21 % 18.87/5.00 | % 18.87/5.00 +-Applying beta-rule and splitting (727), into two cases. % 18.87/5.00 |-Branch one: % 18.87/5.00 | (410) all_0_125_125 = e21 % 18.87/5.00 | % 18.87/5.00 | Equations (410) can reduce 553 to: % 18.87/5.00 | (423) $false % 18.87/5.00 | % 18.87/5.00 |-The branch is then unsatisfiable % 18.87/5.00 |-Branch two: % 18.87/5.00 | (553) ~ (all_0_125_125 = e21) % 18.87/5.00 | (422) all_0_126_126 = e21 % 18.87/5.00 | % 18.87/5.00 | Equations (422) can reduce 394 to: % 18.87/5.00 | (423) $false % 18.87/5.00 | % 18.87/5.00 |-The branch is then unsatisfiable % 18.87/5.00 |-Branch two: % 18.87/5.00 | (733) ~ (all_0_128_128 = e21) % 18.87/5.00 | (734) all_0_129_129 = e21 | all_0_130_130 = e21 % 18.87/5.00 | % 18.87/5.00 +-Applying beta-rule and splitting (366), into two cases. % 18.87/5.00 |-Branch one: % 18.87/5.00 | (487) all_0_124_124 = e21 % 18.87/5.00 | % 18.87/5.00 | Equations (487) can reduce 62 to: % 18.87/5.00 | (353) ~ (all_0_123_123 = e21) % 18.87/5.00 | % 18.87/5.00 | Equations (487) can reduce 240 to: % 18.87/5.00 | (413) ~ (all_0_126_126 = e21) % 18.87/5.00 | % 18.87/5.00 | Simplifying 413 yields: % 18.87/5.00 | (394) ~ (all_0_126_126 = e21) % 18.87/5.00 | % 18.87/5.00 | Equations (487) can reduce 350 to: % 18.87/5.00 | (739) ~ (all_0_132_132 = e21) % 18.87/5.00 | % 18.87/5.00 | Simplifying 739 yields: % 18.87/5.00 | (396) ~ (all_0_132_132 = e21) % 18.87/5.00 | % 18.87/5.00 | Equations (487) can reduce 217 to: % 18.87/5.00 | (326) ~ (e21 = e20) % 18.87/5.00 | % 18.87/5.00 | From (487) and (343) follows: % 18.87/5.00 | (742) op2(e22, e21) = all_0_93_93 % 18.87/5.00 | % 18.87/5.00 | From (487) and (341) follows: % 18.87/5.00 | (743) op2(e22, e22) = e21 % 18.87/5.00 | % 18.87/5.00 +-Applying beta-rule and splitting (734), into two cases. % 18.87/5.00 |-Branch one: % 18.87/5.00 | (475) all_0_129_129 = e21 % 18.87/5.00 | % 18.87/5.00 | Equations (475) can reduce 374 to: % 18.87/5.00 | (553) ~ (all_0_125_125 = e21) % 18.87/5.00 | % 18.87/5.00 | Equations (475) can reduce 368 to: % 18.87/5.00 | (733) ~ (all_0_128_128 = e21) % 18.87/5.00 | % 18.87/5.00 | Equations (475) can reduce 234 to: % 18.87/5.00 | (407) ~ (all_0_130_130 = e21) % 18.87/5.00 | % 18.87/5.00 | Simplifying 407 yields: % 18.87/5.00 | (395) ~ (all_0_130_130 = e21) % 18.87/5.00 | % 18.87/5.00 | Equations (475) can reduce 175 to: % 18.87/5.00 | (417) ~ (all_0_133_133 = e21) % 18.87/5.00 | % 18.87/5.00 | Simplifying 417 yields: % 18.87/5.00 | (418) ~ (all_0_133_133 = e21) % 18.87/5.00 | % 18.87/5.00 | Equations (475) can reduce 281 to: % 18.87/5.00 | (419) ~ (e22 = e21) % 18.87/5.00 | % 18.87/5.00 | Simplifying 419 yields: % 18.87/5.00 | (248) ~ (e22 = e21) % 18.87/5.00 | % 18.87/5.00 | Instantiating formula (3) with e22, e21, all_0_93_93, all_0_125_125 and discharging atoms op2(e22, e21) = all_0_93_93, op2(e22, e21) = all_0_125_125, yields: % 18.87/5.00 | (753) all_0_93_93 = all_0_125_125 % 18.87/5.00 | % 18.87/5.00 | From (753) and (742) follows: % 18.87/5.00 | (274) op2(e22, e21) = all_0_125_125 % 18.87/5.00 | % 18.87/5.00 +-Applying beta-rule and splitting (192), into two cases. % 18.87/5.00 |-Branch one: % 18.87/5.00 | (422) all_0_126_126 = e21 % 18.87/5.00 | % 18.87/5.00 | Equations (422) can reduce 394 to: % 18.87/5.00 | (423) $false % 18.87/5.00 | % 18.87/5.00 |-The branch is then unsatisfiable % 18.87/5.00 |-Branch two: % 18.87/5.00 | (394) ~ (all_0_126_126 = e21) % 18.87/5.00 | (425) all_0_126_126 = e22 | all_0_126_126 = e20 % 18.87/5.00 | % 18.87/5.00 +-Applying beta-rule and splitting (51), into two cases. % 18.87/5.00 |-Branch one: % 18.87/5.00 | (495) all_0_133_133 = e21 % 18.87/5.00 | % 18.87/5.00 | Equations (495) can reduce 418 to: % 18.87/5.00 | (423) $false % 18.87/5.00 | % 18.87/5.00 |-The branch is then unsatisfiable % 18.87/5.00 |-Branch two: % 18.87/5.00 | (418) ~ (all_0_133_133 = e21) % 18.87/5.00 | (498) all_0_133_133 = e23 | all_0_133_133 = e20 % 18.87/5.00 | % 18.87/5.00 +-Applying beta-rule and splitting (371), into two cases. % 18.87/5.00 |-Branch one: % 18.87/5.00 | (426) all_0_126_126 = e20 % 18.87/5.00 | % 18.87/5.00 | Equations (426) can reduce 327 to: % 18.87/5.00 | (764) ~ (all_0_125_125 = e20) % 18.87/5.00 | % 18.87/5.00 | Equations (426) can reduce 226 to: % 18.87/5.00 | (765) ~ (all_0_130_130 = e20) % 18.87/5.00 | % 18.87/5.00 | Simplifying 765 yields: % 18.87/5.00 | (572) ~ (all_0_130_130 = e20) % 18.87/5.00 | % 18.87/5.00 | From (426) and (83) follows: % 18.87/5.00 | (427) op2(e20, e22) = all_0_108_108 % 18.87/5.00 | % 18.87/5.00 +-Applying beta-rule and splitting (103), into two cases. % 18.87/5.00 |-Branch one: % 18.87/5.00 | (410) all_0_125_125 = e21 % 18.87/5.00 | % 18.87/5.00 | Equations (410) can reduce 553 to: % 18.87/5.00 | (423) $false % 18.87/5.00 | % 18.87/5.00 |-The branch is then unsatisfiable % 18.87/5.00 |-Branch two: % 18.87/5.00 | (553) ~ (all_0_125_125 = e21) % 18.87/5.00 | (771) all_0_125_125 = e23 | all_0_125_125 = e20 % 18.87/5.00 | % 18.87/5.00 +-Applying beta-rule and splitting (771), into two cases. % 18.87/5.00 |-Branch one: % 18.87/5.00 | (772) all_0_125_125 = e20 % 18.87/5.00 | % 18.87/5.00 | Equations (772) can reduce 764 to: % 18.87/5.00 | (423) $false % 18.87/5.00 | % 18.87/5.00 |-The branch is then unsatisfiable % 18.87/5.00 |-Branch two: % 18.87/5.00 | (764) ~ (all_0_125_125 = e20) % 18.87/5.00 | (775) all_0_125_125 = e23 % 18.87/5.00 | % 18.87/5.00 | Equations (775) can reduce 84 to: % 18.87/5.00 | (484) ~ (all_0_133_133 = e23) % 18.87/5.00 | % 18.87/5.00 | Simplifying 484 yields: % 18.87/5.00 | (485) ~ (all_0_133_133 = e23) % 18.87/5.00 | % 18.87/5.00 | From (775) and (274) follows: % 18.87/5.00 | (778) op2(e22, e21) = e23 % 18.87/5.00 | % 18.87/5.00 +-Applying beta-rule and splitting (123), into two cases. % 18.87/5.00 |-Branch one: % 18.87/5.00 | (428) all_0_126_126 = e22 % 18.87/5.00 | % 18.87/5.00 | Combining equations (428,426) yields a new equation: % 18.87/5.00 | (780) e22 = e20 % 18.87/5.00 | % 18.87/5.00 | Simplifying 780 yields: % 18.87/5.00 | (429) e22 = e20 % 18.87/5.00 | % 18.87/5.00 | Equations (429) can reduce 121 to: % 18.87/5.00 | (423) $false % 18.87/5.00 | % 18.87/5.00 |-The branch is then unsatisfiable % 18.87/5.00 |-Branch two: % 18.87/5.00 | (431) ~ (all_0_126_126 = e22) % 18.87/5.00 | (432) all_0_130_130 = e22 | all_0_134_134 = e22 % 18.87/5.00 | % 18.87/5.00 +-Applying beta-rule and splitting (498), into two cases. % 18.87/5.00 |-Branch one: % 18.87/5.00 | (511) all_0_133_133 = e20 % 18.87/5.00 | % 18.87/5.00 | Equations (511) can reduce 58 to: % 18.87/5.00 | (17) ~ (all_0_132_132 = e20) % 18.87/5.00 | % 18.87/5.00 | Equations (511) can reduce 418 to: % 18.87/5.00 | (465) ~ (e21 = e20) % 18.87/5.00 | % 18.87/5.00 | Simplifying 465 yields: % 18.87/5.00 | (326) ~ (e21 = e20) % 18.87/5.00 | % 18.87/5.00 +-Applying beta-rule and splitting (432), into two cases. % 18.87/5.00 |-Branch one: % 18.87/5.00 | (433) all_0_130_130 = e22 % 18.87/5.00 | % 18.87/5.00 | Combining equations (433,401) yields a new equation: % 18.87/5.00 | (434) all_0_110_110 = e22 % 18.87/5.00 | % 18.87/5.00 | Equations (433) can reduce 80 to: % 18.87/5.00 | (507) ~ (all_0_128_128 = e22) % 18.87/5.00 | % 18.87/5.00 | Equations (433) can reduce 395 to: % 18.87/5.00 | (248) ~ (e22 = e21) % 18.87/5.00 | % 18.87/5.00 | Equations (433) can reduce 572 to: % 18.87/5.00 | (121) ~ (e22 = e20) % 18.87/5.00 | % 18.87/5.00 | From (433) and (57) follows: % 18.87/5.00 | (436) op2(e22, e21) = all_0_109_109 % 18.87/5.00 | % 18.87/5.00 +-Applying beta-rule and splitting (164), into two cases. % 18.87/5.00 |-Branch one: % 18.87/5.00 | (404) all_0_128_128 = e21 % 18.87/5.00 | % 18.87/5.00 | Equations (404) can reduce 733 to: % 18.87/5.00 | (423) $false % 18.87/5.00 | % 18.87/5.00 |-The branch is then unsatisfiable % 18.87/5.00 |-Branch two: % 18.87/5.00 | (733) ~ (all_0_128_128 = e21) % 18.87/5.00 | (798) all_0_128_128 = e23 | all_0_128_128 = e22 % 18.87/5.00 | % 18.87/5.00 +-Applying beta-rule and splitting (128), into two cases. % 18.87/5.00 |-Branch one: % 18.87/5.00 | (499) all_0_124_124 = e22 % 18.87/5.00 | % 18.87/5.00 | Combining equations (487,499) yields a new equation: % 18.87/5.00 | (447) e22 = e21 % 18.87/5.00 | % 18.87/5.00 | Equations (447) can reduce 248 to: % 18.87/5.00 | (423) $false % 18.87/5.00 | % 18.87/5.00 |-The branch is then unsatisfiable % 18.87/5.00 |-Branch two: % 18.87/5.00 | (471) ~ (all_0_124_124 = e22) % 18.87/5.00 | (502) all_0_128_128 = e22 | all_0_132_132 = e22 % 18.87/5.00 | % 18.87/5.00 +-Applying beta-rule and splitting (130), into two cases. % 18.87/5.00 |-Branch one: % 18.87/5.00 | (804) all_0_127_127 = e20 % 18.87/5.00 | % 18.87/5.00 | Equations (804) can reduce 304 to: % 18.87/5.00 | (655) ~ (all_0_123_123 = e20) % 18.87/5.00 | % 18.87/5.00 +-Applying beta-rule and splitting (502), into two cases. % 18.87/5.00 |-Branch one: % 18.87/5.00 | (503) all_0_128_128 = e22 % 18.87/5.00 | % 18.87/5.00 | Equations (503) can reduce 507 to: % 18.87/5.00 | (423) $false % 18.87/5.00 | % 18.87/5.00 |-The branch is then unsatisfiable % 18.87/5.00 |-Branch two: % 18.87/5.00 | (507) ~ (all_0_128_128 = e22) % 18.87/5.00 | (508) all_0_132_132 = e22 % 18.87/5.00 | % 18.87/5.00 | Equations (508) can reduce 61 to: % 18.87/5.00 | (507) ~ (all_0_128_128 = e22) % 18.87/5.00 | % 18.87/5.00 | Equations (508) can reduce 396 to: % 18.87/5.00 | (248) ~ (e22 = e21) % 18.87/5.00 | % 18.87/5.00 | Equations (508) can reduce 17 to: % 18.87/5.00 | (121) ~ (e22 = e20) % 18.87/5.00 | % 18.87/5.00 | From (508) and (348) follows: % 18.87/5.00 | (813) op2(e20, e22) = e22 % 18.87/5.00 | % 18.87/5.00 +-Applying beta-rule and splitting (259), into two cases. % 18.87/5.00 |-Branch one: % 18.87/5.00 | (539) all_0_123_123 = e22 % 18.87/5.00 | % 18.87/5.00 | Equations (539) can reduce 353 to: % 18.87/5.00 | (248) ~ (e22 = e21) % 18.87/5.00 | % 18.87/5.00 | Equations (539) can reduce 655 to: % 18.87/5.00 | (121) ~ (e22 = e20) % 18.87/5.00 | % 18.87/5.01 +-Applying beta-rule and splitting (798), into two cases. % 18.87/5.01 |-Branch one: % 18.87/5.01 | (503) all_0_128_128 = e22 % 18.87/5.01 | % 18.87/5.01 | Equations (503) can reduce 507 to: % 18.87/5.01 | (423) $false % 18.87/5.01 | % 18.87/5.01 |-The branch is then unsatisfiable % 18.87/5.01 |-Branch two: % 18.87/5.01 | (507) ~ (all_0_128_128 = e22) % 18.87/5.01 | (820) all_0_128_128 = e23 % 18.87/5.01 | % 18.87/5.01 | Equations (820) can reduce 507 to: % 18.87/5.01 | (28) ~ (e23 = e22) % 18.87/5.01 | % 18.87/5.01 | Instantiating formula (3) with e22, e21, e23, all_0_109_109 and discharging atoms op2(e22, e21) = all_0_109_109, op2(e22, e21) = e23, yields: % 18.87/5.01 | (822) all_0_109_109 = e23 % 18.87/5.01 | % 18.87/5.01 | Instantiating formula (3) with e20, e22, e22, all_0_108_108 and discharging atoms op2(e20, e22) = all_0_108_108, op2(e20, e22) = e22, yields: % 18.87/5.01 | (823) all_0_108_108 = e22 % 18.87/5.01 | % 18.87/5.01 +-Applying beta-rule and splitting (251), into two cases. % 18.87/5.01 |-Branch one: % 18.87/5.01 | (439) all_0_108_108 = all_0_126_126 % 18.87/5.01 | % 18.87/5.01 | Combining equations (823,439) yields a new equation: % 18.87/5.01 | (428) all_0_126_126 = e22 % 18.87/5.01 | % 18.87/5.01 | Combining equations (426,428) yields a new equation: % 18.87/5.01 | (429) e22 = e20 % 18.87/5.01 | % 18.87/5.01 | Equations (429) can reduce 121 to: % 18.87/5.01 | (423) $false % 18.87/5.01 | % 18.87/5.01 |-The branch is then unsatisfiable % 18.87/5.01 |-Branch two: % 18.87/5.01 | (443) ~ (all_0_108_108 = all_0_126_126) % 18.87/5.01 | (444) all_0_109_109 = all_0_130_130 | all_0_110_110 = all_0_134_134 % 18.87/5.01 | % 18.87/5.01 +-Applying beta-rule and splitting (444), into two cases. % 18.87/5.01 |-Branch one: % 18.87/5.01 | (445) all_0_109_109 = all_0_130_130 % 18.87/5.01 | % 18.87/5.01 | Combining equations (822,445) yields a new equation: % 18.87/5.01 | (831) all_0_130_130 = e23 % 18.87/5.01 | % 18.87/5.01 | Combining equations (433,831) yields a new equation: % 18.87/5.01 | (584) e23 = e22 % 18.87/5.01 | % 18.87/5.01 | Equations (584) can reduce 28 to: % 18.87/5.01 | (423) $false % 18.87/5.01 | % 18.87/5.01 |-The branch is then unsatisfiable % 18.87/5.01 |-Branch two: % 18.87/5.01 | (449) ~ (all_0_109_109 = all_0_130_130) % 18.87/5.01 | (450) all_0_110_110 = all_0_134_134 % 18.87/5.01 | % 18.87/5.01 | Combining equations (434,450) yields a new equation: % 18.87/5.01 | (452) all_0_134_134 = e22 % 18.87/5.01 | % 18.87/5.01 | Combining equations (393,452) yields a new equation: % 18.87/5.01 | (447) e22 = e21 % 18.87/5.01 | % 18.87/5.01 | Equations (447) can reduce 248 to: % 18.87/5.01 | (423) $false % 18.87/5.01 | % 18.87/5.01 |-The branch is then unsatisfiable % 18.87/5.01 |-Branch two: % 18.87/5.01 | (623) ~ (all_0_123_123 = e22) % 18.87/5.01 | (840) all_0_124_124 = e22 | all_0_126_126 = e22 % 18.87/5.01 | % 18.87/5.01 +-Applying beta-rule and splitting (840), into two cases. % 18.87/5.01 |-Branch one: % 18.87/5.01 | (499) all_0_124_124 = e22 % 18.87/5.01 | % 18.87/5.01 | Combining equations (499,487) yields a new equation: % 18.87/5.01 | (457) e22 = e21 % 18.87/5.01 | % 18.87/5.01 | Simplifying 457 yields: % 18.87/5.01 | (447) e22 = e21 % 18.87/5.01 | % 18.87/5.01 | Equations (447) can reduce 248 to: % 18.87/5.01 | (423) $false % 18.87/5.01 | % 18.87/5.01 |-The branch is then unsatisfiable % 18.87/5.01 |-Branch two: % 18.87/5.01 | (471) ~ (all_0_124_124 = e22) % 18.87/5.01 | (428) all_0_126_126 = e22 % 18.87/5.01 | % 18.87/5.01 | Combining equations (426,428) yields a new equation: % 18.87/5.01 | (429) e22 = e20 % 18.87/5.01 | % 18.87/5.01 | Equations (429) can reduce 121 to: % 18.87/5.01 | (423) $false % 18.87/5.01 | % 18.87/5.01 |-The branch is then unsatisfiable % 18.87/5.01 |-Branch two: % 18.87/5.01 | (849) ~ (all_0_127_127 = e20) % 18.87/5.01 | (850) all_0_129_129 = e20 | all_0_130_130 = e20 % 18.87/5.01 | % 18.87/5.01 +-Applying beta-rule and splitting (850), into two cases. % 18.87/5.01 |-Branch one: % 18.87/5.01 | (479) all_0_129_129 = e20 % 18.87/5.01 | % 18.87/5.01 | Combining equations (479,475) yields a new equation: % 18.87/5.01 | (564) e21 = e20 % 18.87/5.01 | % 18.87/5.01 | Equations (564) can reduce 326 to: % 18.87/5.01 | (423) $false % 18.87/5.01 | % 18.87/5.01 |-The branch is then unsatisfiable % 18.87/5.01 |-Branch two: % 18.87/5.01 | (474) ~ (all_0_129_129 = e20) % 18.87/5.01 | (473) all_0_130_130 = e20 % 18.87/5.01 | % 18.87/5.01 | Combining equations (433,473) yields a new equation: % 18.87/5.01 | (780) e22 = e20 % 18.87/5.01 | % 18.87/5.01 | Simplifying 780 yields: % 18.87/5.01 | (429) e22 = e20 % 18.87/5.01 | % 18.87/5.01 | Equations (429) can reduce 121 to: % 18.87/5.01 | (423) $false % 18.87/5.01 | % 18.87/5.01 |-The branch is then unsatisfiable % 18.87/5.01 |-Branch two: % 18.87/5.01 | (455) ~ (all_0_130_130 = e22) % 18.87/5.01 | (452) all_0_134_134 = e22 % 18.87/5.01 | % 18.87/5.01 | Combining equations (393,452) yields a new equation: % 18.87/5.01 | (447) e22 = e21 % 18.87/5.01 | % 18.87/5.01 | Equations (447) can reduce 248 to: % 18.87/5.01 | (423) $false % 18.87/5.01 | % 18.87/5.01 |-The branch is then unsatisfiable % 18.87/5.01 |-Branch two: % 18.87/5.01 | (590) ~ (all_0_133_133 = e20) % 18.87/5.01 | (587) all_0_133_133 = e23 % 18.87/5.01 | % 18.87/5.01 | Equations (587) can reduce 485 to: % 18.87/5.01 | (423) $false % 18.87/5.01 | % 18.87/5.01 |-The branch is then unsatisfiable % 18.87/5.01 |-Branch two: % 18.87/5.01 | (460) ~ (all_0_126_126 = e20) % 18.87/5.01 | (461) all_0_130_130 = e20 | all_0_134_134 = e20 % 18.87/5.01 | % 18.87/5.01 +-Applying beta-rule and splitting (461), into two cases. % 18.87/5.01 |-Branch one: % 18.87/5.01 | (473) all_0_130_130 = e20 % 18.87/5.01 | % 18.87/5.01 | Combining equations (473,401) yields a new equation: % 18.87/5.01 | (869) all_0_110_110 = e20 % 18.87/5.01 | % 18.87/5.01 | Equations (473) can reduce 265 to: % 18.87/5.01 | (513) ~ (e23 = e20) % 18.87/5.01 | % 18.87/5.01 | Simplifying 513 yields: % 18.87/5.01 | (276) ~ (e23 = e20) % 18.87/5.01 | % 18.87/5.01 | Equations (473) can reduce 395 to: % 18.87/5.01 | (465) ~ (e21 = e20) % 18.87/5.01 | % 18.87/5.01 | Simplifying 465 yields: % 18.87/5.01 | (326) ~ (e21 = e20) % 18.87/5.01 | % 18.87/5.01 | From (473) and (57) follows: % 18.87/5.01 | (874) op2(e20, e21) = all_0_109_109 % 18.87/5.01 | % 18.87/5.01 +-Applying beta-rule and splitting (123), into two cases. % 18.87/5.01 |-Branch one: % 18.87/5.01 | (428) all_0_126_126 = e22 % 18.87/5.01 | % 18.87/5.01 | Equations (428) can reduce 267 to: % 18.87/5.01 | (623) ~ (all_0_123_123 = e22) % 18.87/5.01 | % 18.87/5.01 | Equations (428) can reduce 327 to: % 18.87/5.01 | (151) ~ (all_0_125_125 = e22) % 18.87/5.01 | % 18.87/5.01 | Equations (428) can reduce 394 to: % 18.87/5.01 | (248) ~ (e22 = e21) % 18.87/5.01 | % 18.87/5.01 | From (428) and (83) follows: % 18.87/5.01 | (879) op2(e22, e22) = all_0_108_108 % 18.87/5.01 | % 18.87/5.01 | Instantiating formula (3) with e22, e22, all_0_108_108, e21 and discharging atoms op2(e22, e22) = all_0_108_108, op2(e22, e22) = e21, yields: % 18.87/5.01 | (880) all_0_108_108 = e21 % 18.87/5.01 | % 18.87/5.01 | Instantiating formula (3) with e20, e21, all_0_109_109, all_0_133_133 and discharging atoms op2(e20, e21) = all_0_109_109, op2(e20, e21) = all_0_133_133, yields: % 18.87/5.01 | (881) all_0_109_109 = all_0_133_133 % 18.87/5.01 | % 18.87/5.01 +-Applying beta-rule and splitting (251), into two cases. % 18.87/5.01 |-Branch one: % 18.87/5.01 | (439) all_0_108_108 = all_0_126_126 % 18.87/5.01 | % 18.87/5.01 | Combining equations (880,439) yields a new equation: % 18.87/5.01 | (422) all_0_126_126 = e21 % 18.87/5.01 | % 18.87/5.01 | Combining equations (428,422) yields a new equation: % 18.87/5.01 | (457) e22 = e21 % 18.87/5.01 | % 18.87/5.01 | Simplifying 457 yields: % 18.87/5.01 | (447) e22 = e21 % 18.87/5.01 | % 18.87/5.01 | Equations (447) can reduce 248 to: % 18.87/5.01 | (423) $false % 18.87/5.01 | % 18.87/5.01 |-The branch is then unsatisfiable % 18.87/5.01 |-Branch two: % 18.87/5.01 | (443) ~ (all_0_108_108 = all_0_126_126) % 18.87/5.01 | (444) all_0_109_109 = all_0_130_130 | all_0_110_110 = all_0_134_134 % 18.87/5.01 | % 18.87/5.01 +-Applying beta-rule and splitting (444), into two cases. % 18.87/5.01 |-Branch one: % 18.87/5.01 | (445) all_0_109_109 = all_0_130_130 % 18.87/5.01 | % 18.87/5.01 | Combining equations (881,445) yields a new equation: % 18.87/5.01 | (890) all_0_130_130 = all_0_133_133 % 18.87/5.01 | % 18.87/5.01 | Combining equations (890,473) yields a new equation: % 18.87/5.01 | (891) all_0_133_133 = e20 % 18.87/5.01 | % 18.87/5.01 | Simplifying 891 yields: % 18.87/5.01 | (511) all_0_133_133 = e20 % 18.87/5.01 | % 18.87/5.01 +-Applying beta-rule and splitting (158), into two cases. % 18.87/5.01 |-Branch one: % 18.87/5.01 | (775) all_0_125_125 = e23 % 18.87/5.01 | % 18.87/5.01 | Equations (775) can reduce 211 to: % 18.87/5.01 | (524) ~ (all_0_123_123 = e23) % 18.87/5.01 | % 18.87/5.01 | Equations (775) can reduce 151 to: % 18.87/5.01 | (28) ~ (e23 = e22) % 18.87/5.01 | % 18.87/5.01 +-Applying beta-rule and splitting (311), into two cases. % 18.87/5.01 |-Branch one: % 18.87/5.01 | (462) all_0_123_123 = e20 % 18.87/5.01 | % 18.87/5.01 | Equations (462) can reduce 208 to: % 18.87/5.01 | (897) ~ (all_0_131_131 = e20) % 18.87/5.01 | % 18.87/5.01 | Simplifying 897 yields: % 18.87/5.01 | (512) ~ (all_0_131_131 = e20) % 18.87/5.01 | % 18.87/5.01 | Equations (462) can reduce 524 to: % 18.87/5.01 | (513) ~ (e23 = e20) % 18.87/5.01 | % 18.87/5.01 | Simplifying 513 yields: % 18.87/5.01 | (276) ~ (e23 = e20) % 18.87/5.01 | % 18.87/5.01 | Equations (462) can reduce 623 to: % 18.87/5.01 | (515) ~ (e22 = e20) % 18.87/5.01 | % 18.87/5.01 | Simplifying 515 yields: % 18.87/5.01 | (121) ~ (e22 = e20) % 18.87/5.01 | % 18.87/5.01 | Equations (462) can reduce 353 to: % 18.87/5.01 | (465) ~ (e21 = e20) % 18.87/5.01 | % 18.87/5.01 | Simplifying 465 yields: % 18.87/5.01 | (326) ~ (e21 = e20) % 18.87/5.01 | % 18.87/5.01 +-Applying beta-rule and splitting (325), into two cases. % 18.87/5.01 |-Branch one: % 18.87/5.01 | (528) all_0_131_131 = e20 % 18.87/5.01 | % 18.87/5.01 | Equations (528) can reduce 512 to: % 18.87/5.01 | (423) $false % 18.87/5.01 | % 18.87/5.01 |-The branch is then unsatisfiable % 18.87/5.01 |-Branch two: % 18.87/5.01 | (512) ~ (all_0_131_131 = e20) % 18.87/5.01 | (533) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) | (all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_133_133 = e20 & ~ (all_0_127_127 = e23) & ~ (all_0_128_128 = e22) & ~ (all_0_129_129 = e21) & ~ (all_0_130_130 = e20) & ~ (all_0_134_134 = e21)) | ( ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) % 18.87/5.01 | % 18.87/5.01 +-Applying beta-rule and splitting (533), into two cases. % 18.87/5.01 |-Branch one: % 18.87/5.01 | (534) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) | (all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_133_133 = e20 & ~ (all_0_127_127 = e23) & ~ (all_0_128_128 = e22) & ~ (all_0_129_129 = e21) & ~ (all_0_130_130 = e20) & ~ (all_0_134_134 = e21)) % 18.87/5.01 | % 18.87/5.01 +-Applying beta-rule and splitting (534), into two cases. % 18.87/5.01 |-Branch one: % 18.87/5.01 | (535) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) | (all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) % 18.87/5.01 | % 18.87/5.01 +-Applying beta-rule and splitting (535), into two cases. % 18.87/5.01 |-Branch one: % 18.87/5.01 | (536) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) % 18.87/5.01 | % 18.87/5.01 +-Applying beta-rule and splitting (536), into two cases. % 18.87/5.01 |-Branch one: % 18.87/5.01 | (537) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) % 18.87/5.01 | % 18.87/5.01 +-Applying beta-rule and splitting (537), into two cases. % 18.87/5.01 |-Branch one: % 18.87/5.01 | (538) all_0_123_123 = e22 & ~ (all_0_124_124 = e23) % 18.87/5.01 | % 18.87/5.01 | Applying alpha-rule on (538) yields: % 18.87/5.01 | (539) all_0_123_123 = e22 % 18.87/5.01 | (540) ~ (all_0_124_124 = e23) % 18.87/5.01 | % 18.87/5.01 | Combining equations (462,539) yields a new equation: % 18.87/5.01 | (429) e22 = e20 % 18.87/5.01 | % 18.87/5.01 | Equations (429) can reduce 121 to: % 18.87/5.01 | (423) $false % 18.87/5.01 | % 18.87/5.01 |-The branch is then unsatisfiable % 18.87/5.01 |-Branch two: % 18.87/5.01 | (543) all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20) % 18.87/5.02 | % 18.87/5.02 | Applying alpha-rule on (543) yields: % 18.87/5.02 | (428) all_0_126_126 = e22 % 18.87/5.02 | (545) ~ (all_0_132_132 = e22) % 18.87/5.02 | (418) ~ (all_0_133_133 = e21) % 18.87/5.02 | (547) ~ (all_0_134_134 = e20) % 18.87/5.02 | (548) ~ (all_0_131_131 = e23) % 18.87/5.02 | % 18.87/5.02 +-Applying beta-rule and splitting (55), into two cases. % 18.87/5.02 |-Branch one: % 18.87/5.02 | (924) all_0_132_132 = e21 % 18.87/5.02 | % 18.87/5.02 | Equations (924) can reduce 396 to: % 18.87/5.02 | (423) $false % 18.87/5.02 | % 18.87/5.02 |-The branch is then unsatisfiable % 18.87/5.02 |-Branch two: % 18.87/5.02 | (396) ~ (all_0_132_132 = e21) % 18.87/5.02 | (927) all_0_132_132 = e23 | all_0_132_132 = e22 % 18.87/5.02 | % 18.87/5.02 +-Applying beta-rule and splitting (75), into two cases. % 18.87/5.02 |-Branch one: % 18.87/5.02 | (521) all_0_123_123 = e23 % 18.87/5.02 | % 18.87/5.02 | Combining equations (462,521) yields a new equation: % 18.87/5.02 | (522) e23 = e20 % 18.87/5.02 | % 18.87/5.02 | Equations (522) can reduce 276 to: % 18.87/5.02 | (423) $false % 18.87/5.02 | % 18.87/5.02 |-The branch is then unsatisfiable % 18.87/5.02 |-Branch two: % 18.87/5.02 | (524) ~ (all_0_123_123 = e23) % 18.87/5.02 | (932) all_0_127_127 = e23 | all_0_131_131 = e23 % 18.87/5.02 | % 18.87/5.02 +-Applying beta-rule and splitting (932), into two cases. % 18.87/5.02 |-Branch one: % 18.87/5.02 | (933) all_0_127_127 = e23 % 18.87/5.02 | % 18.87/5.02 | Equations (933) can reduce 126 to: % 18.87/5.02 | (934) ~ (all_0_128_128 = e23) % 18.87/5.02 | % 18.87/5.02 | Simplifying 934 yields: % 18.87/5.02 | (935) ~ (all_0_128_128 = e23) % 18.87/5.02 | % 18.87/5.02 +-Applying beta-rule and splitting (308), into two cases. % 18.87/5.02 |-Branch one: % 18.87/5.02 | (539) all_0_123_123 = e22 % 18.87/5.02 | % 18.87/5.02 | Combining equations (539,462) yields a new equation: % 18.87/5.02 | (780) e22 = e20 % 18.87/5.02 | % 18.87/5.02 | Simplifying 780 yields: % 18.87/5.02 | (429) e22 = e20 % 18.87/5.02 | % 18.87/5.02 | Equations (429) can reduce 121 to: % 18.87/5.02 | (423) $false % 18.87/5.02 | % 18.87/5.02 |-The branch is then unsatisfiable % 18.87/5.02 |-Branch two: % 18.87/5.02 | (623) ~ (all_0_123_123 = e22) % 18.87/5.02 | (624) all_0_127_127 = e22 | all_0_131_131 = e22 % 18.87/5.02 | % 18.87/5.02 +-Applying beta-rule and splitting (624), into two cases. % 18.87/5.02 |-Branch one: % 18.87/5.02 | (491) all_0_127_127 = e22 % 18.87/5.02 | % 18.87/5.02 | Combining equations (933,491) yields a new equation: % 18.87/5.02 | (583) e23 = e22 % 18.87/5.02 | % 18.87/5.02 | Simplifying 583 yields: % 18.87/5.02 | (584) e23 = e22 % 18.87/5.02 | % 18.87/5.02 | Equations (584) can reduce 28 to: % 18.87/5.02 | (423) $false % 18.87/5.02 | % 18.87/5.02 |-The branch is then unsatisfiable % 18.87/5.02 |-Branch two: % 18.87/5.02 | (593) ~ (all_0_127_127 = e22) % 18.87/5.02 | (628) all_0_131_131 = e22 % 18.87/5.02 | % 18.87/5.02 +-Applying beta-rule and splitting (164), into two cases. % 18.87/5.02 |-Branch one: % 18.87/5.02 | (404) all_0_128_128 = e21 % 18.87/5.02 | % 18.87/5.02 | Equations (404) can reduce 733 to: % 18.87/5.02 | (423) $false % 18.87/5.02 | % 18.87/5.02 |-The branch is then unsatisfiable % 18.87/5.02 |-Branch two: % 18.87/5.02 | (733) ~ (all_0_128_128 = e21) % 18.87/5.02 | (798) all_0_128_128 = e23 | all_0_128_128 = e22 % 18.87/5.02 | % 18.87/5.02 +-Applying beta-rule and splitting (798), into two cases. % 18.87/5.02 |-Branch one: % 18.87/5.02 | (503) all_0_128_128 = e22 % 18.87/5.02 | % 18.87/5.02 | Equations (503) can reduce 61 to: % 18.87/5.02 | (953) ~ (all_0_132_132 = e22) % 18.87/5.02 | % 18.87/5.02 | Simplifying 953 yields: % 18.87/5.02 | (545) ~ (all_0_132_132 = e22) % 18.87/5.02 | % 18.87/5.02 +-Applying beta-rule and splitting (927), into two cases. % 18.87/5.02 |-Branch one: % 18.87/5.02 | (508) all_0_132_132 = e22 % 18.87/5.02 | % 18.87/5.02 | Equations (508) can reduce 545 to: % 18.87/5.02 | (423) $false % 18.87/5.02 | % 18.87/5.02 |-The branch is then unsatisfiable % 18.87/5.02 |-Branch two: % 18.87/5.02 | (545) ~ (all_0_132_132 = e22) % 18.87/5.02 | (582) all_0_132_132 = e23 % 18.87/5.02 | % 18.87/5.02 +-Applying beta-rule and splitting (63), into two cases. % 18.87/5.02 |-Branch one: % 18.87/5.02 | (959) all_0_143_143 = e12 % 18.87/5.02 | % 18.87/5.02 | Equations (959) can reduce 187 to: % 18.87/5.02 | (960) ~ (all_0_135_135 = e12) % 18.87/5.02 | % 18.87/5.02 | Equations (959) can reduce 360 to: % 18.87/5.02 | (961) ~ (all_0_144_144 = e12) % 18.87/5.02 | % 18.87/5.02 | Simplifying 961 yields: % 18.87/5.02 | (962) ~ (all_0_144_144 = e12) % 18.87/5.02 | % 18.87/5.02 | Equations (959) can reduce 243 to: % 18.87/5.02 | (963) ~ (all_0_145_145 = e12) % 18.87/5.02 | % 18.87/5.02 | Simplifying 963 yields: % 18.87/5.02 | (298) ~ (all_0_145_145 = e12) % 18.87/5.02 | % 18.87/5.02 | Equations (959) can reduce 363 to: % 18.87/5.02 | (965) ~ (all_0_146_146 = e12) % 18.87/5.02 | % 18.87/5.02 | Simplifying 965 yields: % 18.87/5.02 | (966) ~ (all_0_146_146 = e12) % 18.87/5.02 | % 18.87/5.02 | Equations (959) can reduce 215 to: % 18.87/5.02 | (313) ~ (e12 = e11) % 18.87/5.02 | % 18.87/5.02 | From (959) and (41) follows: % 18.87/5.02 | (968) op1(e12, e10) = all_0_113_113 % 18.87/5.02 | % 18.87/5.02 | From (959) and (195) follows: % 18.87/5.02 | (969) h4(e12) = all_0_8_8 % 18.87/5.02 | % 18.87/5.02 | Instantiating formula (312) with e12, e10, all_0_113_113, all_0_138_138 and discharging atoms op1(e12, e10) = all_0_113_113, op1(e12, e10) = all_0_138_138, yields: % 18.87/5.02 | (970) all_0_113_113 = all_0_138_138 % 18.87/5.02 | % 18.87/5.02 | Instantiating formula (336) with e12, all_0_8_8, e22 and discharging atoms h4(e12) = all_0_8_8, h4(e12) = e22, yields: % 18.87/5.02 | (971) all_0_8_8 = e22 % 18.87/5.02 | % 18.87/5.02 | From (971) and (969) follows: % 18.87/5.02 | (70) h4(e12) = e22 % 18.87/5.02 | % 18.87/5.02 +-Applying beta-rule and splitting (118), into two cases. % 18.87/5.02 |-Branch one: % 18.87/5.02 | (973) all_0_138_138 = e12 % 18.87/5.02 | % 18.87/5.02 | Equations (973) can reduce 262 to: % 18.87/5.02 | (960) ~ (all_0_135_135 = e12) % 18.87/5.02 | % 18.87/5.02 | Equations (973) can reduce 319 to: % 18.87/5.02 | (975) ~ (all_0_136_136 = e12) % 18.87/5.02 | % 18.87/5.02 | Equations (973) can reduce 132 to: % 18.87/5.02 | (255) ~ (all_0_137_137 = e12) % 18.87/5.02 | % 18.87/5.02 | Equations (973) can reduce 50 to: % 18.87/5.02 | (965) ~ (all_0_146_146 = e12) % 18.87/5.02 | % 18.87/5.02 | Simplifying 965 yields: % 18.87/5.02 | (966) ~ (all_0_146_146 = e12) % 18.87/5.02 | % 18.87/5.02 | From (973) and (189) follows: % 18.87/5.02 | (979) h4(e12) = all_0_3_3 % 18.87/5.02 | % 18.87/5.02 +-Applying beta-rule and splitting (263), into two cases. % 18.87/5.02 |-Branch one: % 18.87/5.02 | (980) all_0_136_136 = e12 % 18.87/5.02 | % 18.87/5.02 | Equations (980) can reduce 975 to: % 18.87/5.02 | (423) $false % 18.87/5.02 | % 18.87/5.02 |-The branch is then unsatisfiable % 18.87/5.02 |-Branch two: % 18.87/5.02 | (975) ~ (all_0_136_136 = e12) % 18.87/5.02 | (983) all_0_140_140 = e12 | all_0_144_144 = e12 % 18.87/5.02 | % 18.87/5.02 +-Applying beta-rule and splitting (983), into two cases. % 18.87/5.02 |-Branch one: % 18.87/5.02 | (984) all_0_140_140 = e12 % 18.87/5.02 | % 18.87/5.02 | Equations (984) can reduce 166 to: % 18.87/5.02 | (985) ~ (all_0_139_139 = e12) % 18.87/5.02 | % 18.87/5.02 | Equations (984) can reduce 11 to: % 18.87/5.02 | (986) ~ (all_0_142_142 = e12) % 18.87/5.02 | % 18.87/5.02 | Simplifying 986 yields: % 18.87/5.02 | (987) ~ (all_0_142_142 = e12) % 18.87/5.02 | % 18.87/5.02 | Equations (984) can reduce 48 to: % 18.87/5.02 | (961) ~ (all_0_144_144 = e12) % 18.87/5.02 | % 18.87/5.02 | Simplifying 961 yields: % 18.87/5.02 | (962) ~ (all_0_144_144 = e12) % 18.87/5.02 | % 18.87/5.02 | Equations (984) can reduce 222 to: % 18.87/5.02 | (165) ~ (e12 = e10) % 18.87/5.02 | % 18.87/5.02 | From (984) and (286) follows: % 18.87/5.02 | (991) h4(e12) = all_0_5_5 % 18.87/5.02 | % 18.87/5.02 | Instantiating formula (336) with e12, all_0_3_3, e22 and discharging atoms h4(e12) = all_0_3_3, h4(e12) = e22, yields: % 18.87/5.02 | (992) all_0_3_3 = e22 % 18.87/5.02 | % 18.87/5.02 | Instantiating formula (336) with e12, all_0_5_5, all_0_3_3 and discharging atoms h4(e12) = all_0_3_3, h4(e12) = all_0_5_5, yields: % 18.87/5.02 | (993) all_0_3_3 = all_0_5_5 % 18.87/5.02 | % 18.87/5.02 | Combining equations (992,993) yields a new equation: % 18.87/5.02 | (994) all_0_5_5 = e22 % 18.87/5.02 | % 18.87/5.02 | Combining equations (994,993) yields a new equation: % 18.87/5.02 | (992) all_0_3_3 = e22 % 18.87/5.02 | % 18.87/5.02 +-Applying beta-rule and splitting (159), into two cases. % 18.87/5.02 |-Branch one: % 18.87/5.02 | (996) all_0_142_142 = e10 % 18.87/5.02 | % 18.87/5.02 | Equations (996) can reduce 320 to: % 18.87/5.02 | (997) ~ (all_0_139_139 = e10) % 18.87/5.02 | % 18.87/5.02 | Equations (996) can reduce 115 to: % 18.87/5.02 | (998) ~ (all_0_146_146 = e10) % 18.87/5.02 | % 18.87/5.02 | Simplifying 998 yields: % 18.87/5.02 | (999) ~ (all_0_146_146 = e10) % 18.87/5.02 | % 18.87/5.02 | Equations (996) can reduce 987 to: % 18.87/5.02 | (1000) ~ (e12 = e10) % 18.87/5.02 | % 18.87/5.02 | Simplifying 1000 yields: % 18.87/5.02 | (165) ~ (e12 = e10) % 18.87/5.02 | % 18.87/5.02 | From (996) and (146) follows: % 18.87/5.02 | (1002) h4(e10) = all_0_7_7 % 18.87/5.02 | % 18.87/5.02 +-Applying beta-rule and splitting (232), into two cases. % 18.87/5.02 |-Branch one: % 18.87/5.02 | (1003) all_0_143_143 = e10 % 18.87/5.02 | % 18.87/5.02 | Combining equations (1003,959) yields a new equation: % 18.87/5.02 | (1004) e12 = e10 % 18.87/5.02 | % 18.87/5.02 | Equations (1004) can reduce 165 to: % 18.87/5.02 | (423) $false % 18.87/5.02 | % 18.87/5.02 |-The branch is then unsatisfiable % 18.87/5.02 |-Branch two: % 18.87/5.02 | (1006) ~ (all_0_143_143 = e10) % 18.87/5.02 | (1007) all_0_145_145 = e10 | all_0_146_146 = e10 % 18.87/5.02 | % 18.87/5.02 | Equations (959) can reduce 1006 to: % 18.87/5.02 | (165) ~ (e12 = e10) % 18.87/5.02 | % 18.87/5.02 +-Applying beta-rule and splitting (224), into two cases. % 18.87/5.02 |-Branch one: % 18.87/5.02 | (1009) all_0_146_146 = e10 % 18.87/5.02 | % 18.87/5.02 | Equations (1009) can reduce 999 to: % 18.87/5.02 | (423) $false % 18.87/5.02 | % 18.87/5.02 |-The branch is then unsatisfiable % 18.87/5.02 |-Branch two: % 18.87/5.02 | (999) ~ (all_0_146_146 = e10) % 18.87/5.02 | (1012) all_0_146_146 = e12 | all_0_146_146 = e11 % 18.87/5.02 | % 18.87/5.02 +-Applying beta-rule and splitting (127), into two cases. % 18.87/5.02 |-Branch one: % 18.87/5.02 | (1013) all_0_139_139 = e10 % 18.87/5.02 | % 18.87/5.02 | Equations (1013) can reduce 997 to: % 18.87/5.02 | (423) $false % 18.87/5.02 | % 18.87/5.02 |-The branch is then unsatisfiable % 18.87/5.02 |-Branch two: % 18.87/5.02 | (997) ~ (all_0_139_139 = e10) % 18.87/5.02 | (1016) all_0_139_139 = e13 | all_0_139_139 = e12 % 18.87/5.02 | % 18.87/5.02 +-Applying beta-rule and splitting (235), into two cases. % 18.87/5.02 |-Branch one: % 18.87/5.02 | (1017) all_0_138_138 = e11 % 18.87/5.02 | % 18.87/5.02 | Combining equations (973,1017) yields a new equation: % 18.87/5.02 | (1018) e12 = e11 % 18.87/5.02 | % 18.87/5.02 | Simplifying 1018 yields: % 18.87/5.02 | (1019) e12 = e11 % 18.87/5.03 | % 18.87/5.03 | Equations (1019) can reduce 313 to: % 18.87/5.03 | (423) $false % 18.87/5.03 | % 18.87/5.03 |-The branch is then unsatisfiable % 18.87/5.03 |-Branch two: % 18.87/5.03 | (1021) ~ (all_0_138_138 = e11) % 18.87/5.03 | (1022) all_0_142_142 = e11 | all_0_146_146 = e11 % 18.87/5.03 | % 18.87/5.03 | Equations (973) can reduce 1021 to: % 18.87/5.03 | (313) ~ (e12 = e11) % 18.87/5.03 | % 18.87/5.03 +-Applying beta-rule and splitting (72), into two cases. % 18.87/5.03 |-Branch one: % 18.87/5.03 | (1024) all_0_140_140 = e11 % 18.87/5.03 | % 18.87/5.03 | Combining equations (984,1024) yields a new equation: % 18.87/5.03 | (1018) e12 = e11 % 18.87/5.03 | % 18.87/5.03 | Simplifying 1018 yields: % 18.87/5.03 | (1019) e12 = e11 % 18.87/5.03 | % 18.87/5.03 | Equations (1019) can reduce 313 to: % 18.87/5.03 | (423) $false % 18.87/5.03 | % 18.87/5.03 |-The branch is then unsatisfiable % 18.87/5.03 |-Branch two: % 18.87/5.03 | (1028) ~ (all_0_140_140 = e11) % 18.87/5.03 | (1029) all_0_141_141 = e11 | all_0_142_142 = e11 % 18.87/5.03 | % 18.87/5.03 +-Applying beta-rule and splitting (301), into two cases. % 18.87/5.03 |-Branch one: % 18.87/5.03 | (1030) all_0_135_135 = e10 % 18.87/5.03 | % 18.87/5.03 | Equations (1030) can reduce 279 to: % 18.87/5.03 | (1031) ~ (all_0_136_136 = e10) % 18.87/5.03 | % 18.87/5.03 | Simplifying 1031 yields: % 18.87/5.03 | (32) ~ (all_0_136_136 = e10) % 18.87/5.03 | % 18.87/5.03 | Equations (1030) can reduce 204 to: % 18.87/5.03 | (1033) ~ (e11 = e10) % 18.87/5.03 | % 18.87/5.03 | Simplifying 1033 yields: % 18.87/5.03 | (297) ~ (e11 = e10) % 18.87/5.03 | % 18.87/5.03 | From (1030) and (153) follows: % 18.87/5.03 | (1035) h4(e10) = all_0_0_0 % 18.87/5.03 | % 18.87/5.03 +-Applying beta-rule and splitting (1016), into two cases. % 18.87/5.03 |-Branch one: % 18.87/5.03 | (1036) all_0_139_139 = e12 % 18.87/5.03 | % 18.87/5.03 | Equations (1036) can reduce 985 to: % 18.87/5.03 | (423) $false % 18.87/5.03 | % 18.87/5.03 |-The branch is then unsatisfiable % 18.87/5.03 |-Branch two: % 18.87/5.03 | (985) ~ (all_0_139_139 = e12) % 18.87/5.03 | (1039) all_0_139_139 = e13 % 18.87/5.03 | % 18.87/5.03 | Equations (1039) can reduce 296 to: % 18.87/5.03 | (1040) ~ (all_0_141_141 = e13) % 18.87/5.03 | % 18.87/5.03 | Simplifying 1040 yields: % 18.87/5.03 | (1041) ~ (all_0_141_141 = e13) % 18.87/5.03 | % 18.87/5.03 | From (1039) and (299) follows: % 18.87/5.03 | (1042) h4(e13) = all_0_4_4 % 18.87/5.03 | % 18.87/5.03 +-Applying beta-rule and splitting (1022), into two cases. % 18.87/5.03 |-Branch one: % 18.87/5.03 | (1043) all_0_142_142 = e11 % 18.87/5.03 | % 19.26/5.03 | Combining equations (1043,996) yields a new equation: % 19.26/5.03 | (1044) e11 = e10 % 19.26/5.03 | % 19.26/5.03 | Simplifying 1044 yields: % 19.26/5.03 | (1045) e11 = e10 % 19.26/5.03 | % 19.26/5.03 | Equations (1045) can reduce 297 to: % 19.26/5.03 | (423) $false % 19.26/5.03 | % 19.26/5.03 |-The branch is then unsatisfiable % 19.26/5.03 |-Branch two: % 19.26/5.03 | (1047) ~ (all_0_142_142 = e11) % 19.26/5.03 | (1048) all_0_146_146 = e11 % 19.26/5.03 | % 19.26/5.03 | Equations (1048) can reduce 94 to: % 19.26/5.03 | (1049) ~ (all_0_144_144 = e11) % 19.26/5.03 | % 19.26/5.03 | Equations (1048) can reduce 328 to: % 19.26/5.03 | (1050) ~ (all_0_145_145 = e11) % 19.26/5.03 | % 19.26/5.03 | Equations (1048) can reduce 966 to: % 19.26/5.03 | (1051) ~ (e12 = e11) % 19.26/5.03 | % 19.26/5.03 | Simplifying 1051 yields: % 19.26/5.03 | (313) ~ (e12 = e11) % 19.26/5.03 | % 19.26/5.03 | From (1048) and (144) follows: % 19.26/5.03 | (1053) h4(e11) = all_0_11_11 % 19.26/5.03 | % 19.26/5.03 +-Applying beta-rule and splitting (334), into two cases. % 19.26/5.03 |-Branch one: % 19.26/5.03 | (1054) all_0_144_144 = e12 % 19.26/5.03 | % 19.26/5.03 | Equations (1054) can reduce 962 to: % 19.26/5.03 | (423) $false % 19.26/5.03 | % 19.26/5.03 |-The branch is then unsatisfiable % 19.26/5.03 |-Branch two: % 19.26/5.03 | (962) ~ (all_0_144_144 = e12) % 19.26/5.03 | (1057) all_0_144_144 = e13 | all_0_144_144 = e11 % 19.26/5.03 | % 19.26/5.03 +-Applying beta-rule and splitting (14), into two cases. % 19.26/5.03 |-Branch one: % 19.26/5.03 | (1058) all_0_136_136 = e11 % 19.26/5.03 | % 19.26/5.03 | Equations (1058) can reduce 220 to: % 19.26/5.03 | (1059) ~ (all_0_137_137 = e11) % 19.26/5.03 | % 19.26/5.03 | Simplifying 1059 yields: % 19.26/5.03 | (1060) ~ (all_0_137_137 = e11) % 19.26/5.03 | % 19.26/5.03 | Equations (1058) can reduce 196 to: % 19.26/5.03 | (1061) ~ (all_0_144_144 = e11) % 19.26/5.03 | % 19.26/5.03 | Simplifying 1061 yields: % 19.26/5.03 | (1049) ~ (all_0_144_144 = e11) % 19.26/5.03 | % 19.26/5.03 | Equations (1058) can reduce 32 to: % 19.26/5.03 | (297) ~ (e11 = e10) % 19.26/5.03 | % 19.26/5.03 | From (1058) and (205) follows: % 19.26/5.03 | (1064) h4(e11) = all_0_1_1 % 19.26/5.03 | % 19.26/5.03 +-Applying beta-rule and splitting (113), into two cases. % 19.26/5.03 |-Branch one: % 19.26/5.03 | (1065) all_0_137_137 = e11 % 19.26/5.03 | % 19.26/5.03 | Equations (1065) can reduce 1060 to: % 19.26/5.03 | (423) $false % 19.26/5.03 | % 19.26/5.03 |-The branch is then unsatisfiable % 19.26/5.03 |-Branch two: % 19.26/5.03 | (1060) ~ (all_0_137_137 = e11) % 19.26/5.03 | (1068) all_0_141_141 = e11 | all_0_145_145 = e11 % 19.26/5.03 | % 19.26/5.03 +-Applying beta-rule and splitting (1057), into two cases. % 19.26/5.03 |-Branch one: % 19.26/5.03 | (1069) all_0_144_144 = e11 % 19.26/5.03 | % 19.26/5.03 | Equations (1069) can reduce 1049 to: % 19.26/5.03 | (423) $false % 19.26/5.03 | % 19.26/5.03 |-The branch is then unsatisfiable % 19.26/5.03 |-Branch two: % 19.26/5.03 | (1049) ~ (all_0_144_144 = e11) % 19.26/5.03 | (1072) all_0_144_144 = e13 % 19.26/5.03 | % 19.26/5.03 | Equations (1072) can reduce 370 to: % 19.26/5.03 | (1073) ~ (all_0_145_145 = e13) % 19.26/5.03 | % 19.26/5.03 | Simplifying 1073 yields: % 19.26/5.03 | (1074) ~ (all_0_145_145 = e13) % 19.26/5.03 | % 19.26/5.03 | From (1072) and (6) follows: % 19.26/5.03 | (1075) h4(e13) = all_0_9_9 % 19.26/5.03 | % 19.26/5.03 +-Applying beta-rule and splitting (56), into two cases. % 19.26/5.03 |-Branch one: % 19.26/5.03 | (1076) all_0_137_137 = e13 % 19.26/5.03 | % 19.26/5.03 | From (1076) and (237) follows: % 19.26/5.03 | (1077) h4(e13) = all_0_2_2 % 19.26/5.03 | % 19.26/5.03 +-Applying beta-rule and splitting (214), into two cases. % 19.26/5.03 |-Branch one: % 19.26/5.03 | (1078) all_0_145_145 = e10 % 19.26/5.03 | % 19.26/5.03 | Equations (1078) can reduce 1050 to: % 19.26/5.03 | (1033) ~ (e11 = e10) % 19.26/5.03 | % 19.26/5.03 | Simplifying 1033 yields: % 19.26/5.03 | (297) ~ (e11 = e10) % 19.26/5.03 | % 19.26/5.03 | From (1078) and (170) follows: % 19.26/5.03 | (1081) h4(e10) = all_0_10_10 % 19.26/5.03 | % 19.26/5.03 +-Applying beta-rule and splitting (1029), into two cases. % 19.26/5.03 |-Branch one: % 19.26/5.03 | (1082) all_0_141_141 = e11 % 19.26/5.03 | % 19.26/5.03 | From (1082) and (178) follows: % 19.26/5.03 | (1083) h4(e11) = all_0_6_6 % 19.26/5.03 | % 19.26/5.03 | Instantiating formula (336) with e13, all_0_2_2, e23 and discharging atoms h4(e13) = all_0_2_2, h4(e13) = e23, yields: % 19.26/5.03 | (1084) all_0_2_2 = e23 % 19.26/5.03 | % 19.26/5.03 | Instantiating formula (336) with e13, all_0_4_4, all_0_2_2 and discharging atoms h4(e13) = all_0_2_2, h4(e13) = all_0_4_4, yields: % 19.26/5.03 | (1085) all_0_2_2 = all_0_4_4 % 19.26/5.03 | % 19.26/5.03 | Instantiating formula (336) with e13, all_0_9_9, all_0_4_4 and discharging atoms h4(e13) = all_0_4_4, h4(e13) = all_0_9_9, yields: % 19.26/5.03 | (1086) all_0_4_4 = all_0_9_9 % 19.26/5.03 | % 19.26/5.03 | Instantiating formula (336) with e11, all_0_1_1, e21 and discharging atoms h4(e11) = all_0_1_1, h4(e11) = e21, yields: % 19.26/5.03 | (1087) all_0_1_1 = e21 % 19.26/5.03 | % 19.26/5.03 | Instantiating formula (336) with e11, all_0_6_6, all_0_1_1 and discharging atoms h4(e11) = all_0_1_1, h4(e11) = all_0_6_6, yields: % 19.26/5.03 | (1088) all_0_1_1 = all_0_6_6 % 19.26/5.03 | % 19.26/5.03 | Instantiating formula (336) with e11, all_0_11_11, all_0_6_6 and discharging atoms h4(e11) = all_0_6_6, h4(e11) = all_0_11_11, yields: % 19.26/5.03 | (1089) all_0_6_6 = all_0_11_11 % 19.26/5.03 | % 19.26/5.03 | Instantiating formula (336) with e10, all_0_7_7, e20 and discharging atoms h4(e10) = all_0_7_7, h4(e10) = e20, yields: % 19.26/5.03 | (1090) all_0_7_7 = e20 % 19.26/5.03 | % 19.26/5.03 | Instantiating formula (336) with e10, all_0_7_7, all_0_0_0 and discharging atoms h4(e10) = all_0_0_0, h4(e10) = all_0_7_7, yields: % 19.26/5.03 | (1091) all_0_0_0 = all_0_7_7 % 19.26/5.03 | % 19.26/5.03 | Instantiating formula (336) with e10, all_0_10_10, all_0_0_0 and discharging atoms h4(e10) = all_0_0_0, h4(e10) = all_0_10_10, yields: % 19.26/5.03 | (1092) all_0_0_0 = all_0_10_10 % 19.26/5.03 | % 19.26/5.03 | Combining equations (1091,1092) yields a new equation: % 19.26/5.03 | (1093) all_0_7_7 = all_0_10_10 % 19.26/5.03 | % 19.26/5.03 | Simplifying 1093 yields: % 19.26/5.03 | (1094) all_0_7_7 = all_0_10_10 % 19.26/5.03 | % 19.26/5.03 | Combining equations (1088,1087) yields a new equation: % 19.26/5.03 | (1095) all_0_6_6 = e21 % 19.26/5.03 | % 19.26/5.03 | Simplifying 1095 yields: % 19.26/5.03 | (1096) all_0_6_6 = e21 % 19.26/5.03 | % 19.26/5.03 | Combining equations (1085,1084) yields a new equation: % 19.26/5.03 | (1097) all_0_4_4 = e23 % 19.26/5.03 | % 19.26/5.03 | Simplifying 1097 yields: % 19.26/5.03 | (1098) all_0_4_4 = e23 % 19.26/5.03 | % 19.26/5.03 | Combining equations (1098,1086) yields a new equation: % 19.26/5.03 | (1099) all_0_9_9 = e23 % 19.26/5.03 | % 19.26/5.03 | Combining equations (1096,1089) yields a new equation: % 19.26/5.03 | (1100) all_0_11_11 = e21 % 19.26/5.03 | % 19.26/5.03 | Combining equations (1094,1090) yields a new equation: % 19.26/5.03 | (1101) all_0_10_10 = e20 % 19.26/5.03 | % 19.26/5.04 | Simplifying 1101 yields: % 19.26/5.04 | (1102) all_0_10_10 = e20 % 19.26/5.04 | % 19.26/5.04 | Combining equations (1100,1089) yields a new equation: % 19.26/5.04 | (1096) all_0_6_6 = e21 % 19.26/5.04 | % 19.26/5.04 | Combining equations (1099,1086) yields a new equation: % 19.26/5.04 | (1098) all_0_4_4 = e23 % 19.26/5.04 | % 19.26/5.04 | Combining equations (1102,1092) yields a new equation: % 19.26/5.04 | (1105) all_0_0_0 = e20 % 19.26/5.04 | % 19.26/5.04 +-Applying beta-rule and splitting (69), into two cases. % 19.26/5.04 |-Branch one: % 19.26/5.04 | (1106) ~ (all_0_0_0 = all_0_123_123) % 19.26/5.04 | % 19.26/5.04 | Equations (1105,462) can reduce 1106 to: % 19.26/5.04 | (423) $false % 19.26/5.04 | % 19.26/5.04 |-The branch is then unsatisfiable % 19.26/5.04 |-Branch two: % 19.26/5.04 | (1108) all_0_0_0 = all_0_123_123 % 19.26/5.04 | (1109) ~ (all_0_1_1 = all_0_124_124) | ~ (all_0_2_2 = all_0_125_125) | ~ (all_0_3_3 = all_0_126_126) | ~ (all_0_4_4 = all_0_127_127) | ~ (all_0_5_5 = all_0_128_128) | ~ (all_0_6_6 = all_0_129_129) | ~ (all_0_7_7 = all_0_130_130) | ~ (all_0_8_8 = all_0_131_131) | ~ (all_0_9_9 = all_0_132_132) | ~ (all_0_10_10 = all_0_133_133) | ~ (all_0_11_11 = all_0_134_134) % 19.26/5.04 | % 19.26/5.04 +-Applying beta-rule and splitting (1109), into two cases. % 19.26/5.04 |-Branch one: % 19.26/5.04 | (1110) ~ (all_0_1_1 = all_0_124_124) % 19.26/5.04 | % 19.26/5.04 | Equations (1087,487) can reduce 1110 to: % 19.26/5.04 | (423) $false % 19.26/5.04 | % 19.26/5.04 |-The branch is then unsatisfiable % 19.26/5.04 |-Branch two: % 19.26/5.04 | (1112) all_0_1_1 = all_0_124_124 % 19.26/5.04 | (1113) ~ (all_0_2_2 = all_0_125_125) | ~ (all_0_3_3 = all_0_126_126) | ~ (all_0_4_4 = all_0_127_127) | ~ (all_0_5_5 = all_0_128_128) | ~ (all_0_6_6 = all_0_129_129) | ~ (all_0_7_7 = all_0_130_130) | ~ (all_0_8_8 = all_0_131_131) | ~ (all_0_9_9 = all_0_132_132) | ~ (all_0_10_10 = all_0_133_133) | ~ (all_0_11_11 = all_0_134_134) % 19.26/5.04 | % 19.26/5.04 +-Applying beta-rule and splitting (1113), into two cases. % 19.26/5.04 |-Branch one: % 19.26/5.04 | (1114) ~ (all_0_2_2 = all_0_125_125) % 19.26/5.04 | % 19.26/5.04 | Equations (1084,775) can reduce 1114 to: % 19.26/5.04 | (423) $false % 19.26/5.04 | % 19.26/5.04 |-The branch is then unsatisfiable % 19.26/5.04 |-Branch two: % 19.26/5.04 | (1116) all_0_2_2 = all_0_125_125 % 19.26/5.04 | (1117) ~ (all_0_3_3 = all_0_126_126) | ~ (all_0_4_4 = all_0_127_127) | ~ (all_0_5_5 = all_0_128_128) | ~ (all_0_6_6 = all_0_129_129) | ~ (all_0_7_7 = all_0_130_130) | ~ (all_0_8_8 = all_0_131_131) | ~ (all_0_9_9 = all_0_132_132) | ~ (all_0_10_10 = all_0_133_133) | ~ (all_0_11_11 = all_0_134_134) % 19.26/5.04 | % 19.26/5.04 +-Applying beta-rule and splitting (1117), into two cases. % 19.26/5.04 |-Branch one: % 19.26/5.04 | (1118) ~ (all_0_3_3 = all_0_126_126) % 19.26/5.04 | % 19.26/5.04 | Equations (992,428) can reduce 1118 to: % 19.26/5.04 | (423) $false % 19.26/5.04 | % 19.26/5.04 |-The branch is then unsatisfiable % 19.26/5.04 |-Branch two: % 19.26/5.04 | (1120) all_0_3_3 = all_0_126_126 % 19.26/5.04 | (1121) ~ (all_0_4_4 = all_0_127_127) | ~ (all_0_5_5 = all_0_128_128) | ~ (all_0_6_6 = all_0_129_129) | ~ (all_0_7_7 = all_0_130_130) | ~ (all_0_8_8 = all_0_131_131) | ~ (all_0_9_9 = all_0_132_132) | ~ (all_0_10_10 = all_0_133_133) | ~ (all_0_11_11 = all_0_134_134) % 19.26/5.04 | % 19.26/5.04 +-Applying beta-rule and splitting (1121), into two cases. % 19.26/5.04 |-Branch one: % 19.26/5.04 | (1122) ~ (all_0_4_4 = all_0_127_127) % 19.26/5.04 | % 19.26/5.04 | Equations (1098,933) can reduce 1122 to: % 19.26/5.04 | (423) $false % 19.26/5.04 | % 19.26/5.04 |-The branch is then unsatisfiable % 19.26/5.04 |-Branch two: % 19.26/5.04 | (1124) all_0_4_4 = all_0_127_127 % 19.26/5.04 | (1125) ~ (all_0_5_5 = all_0_128_128) | ~ (all_0_6_6 = all_0_129_129) | ~ (all_0_7_7 = all_0_130_130) | ~ (all_0_8_8 = all_0_131_131) | ~ (all_0_9_9 = all_0_132_132) | ~ (all_0_10_10 = all_0_133_133) | ~ (all_0_11_11 = all_0_134_134) % 19.26/5.04 | % 19.26/5.04 +-Applying beta-rule and splitting (1125), into two cases. % 19.26/5.04 |-Branch one: % 19.26/5.04 | (1126) ~ (all_0_5_5 = all_0_128_128) % 19.26/5.04 | % 19.26/5.04 | Equations (994,503) can reduce 1126 to: % 19.26/5.04 | (423) $false % 19.26/5.04 | % 19.26/5.04 |-The branch is then unsatisfiable % 19.26/5.04 |-Branch two: % 19.26/5.04 | (1128) all_0_5_5 = all_0_128_128 % 19.26/5.04 | (1129) ~ (all_0_6_6 = all_0_129_129) | ~ (all_0_7_7 = all_0_130_130) | ~ (all_0_8_8 = all_0_131_131) | ~ (all_0_9_9 = all_0_132_132) | ~ (all_0_10_10 = all_0_133_133) | ~ (all_0_11_11 = all_0_134_134) % 19.26/5.04 | % 19.26/5.04 +-Applying beta-rule and splitting (1129), into two cases. % 19.26/5.04 |-Branch one: % 19.26/5.04 | (1130) ~ (all_0_6_6 = all_0_129_129) % 19.26/5.04 | % 19.26/5.04 | Equations (1096,475) can reduce 1130 to: % 19.26/5.04 | (423) $false % 19.26/5.04 | % 19.26/5.04 |-The branch is then unsatisfiable % 19.26/5.04 |-Branch two: % 19.26/5.04 | (1132) all_0_6_6 = all_0_129_129 % 19.26/5.04 | (1133) ~ (all_0_7_7 = all_0_130_130) | ~ (all_0_8_8 = all_0_131_131) | ~ (all_0_9_9 = all_0_132_132) | ~ (all_0_10_10 = all_0_133_133) | ~ (all_0_11_11 = all_0_134_134) % 19.26/5.04 | % 19.26/5.04 +-Applying beta-rule and splitting (1133), into two cases. % 19.26/5.04 |-Branch one: % 19.26/5.04 | (1134) ~ (all_0_7_7 = all_0_130_130) % 19.26/5.04 | % 19.26/5.04 | Equations (1090,473) can reduce 1134 to: % 19.26/5.04 | (423) $false % 19.26/5.04 | % 19.26/5.04 |-The branch is then unsatisfiable % 19.26/5.04 |-Branch two: % 19.26/5.04 | (1136) all_0_7_7 = all_0_130_130 % 19.26/5.04 | (1137) ~ (all_0_8_8 = all_0_131_131) | ~ (all_0_9_9 = all_0_132_132) | ~ (all_0_10_10 = all_0_133_133) | ~ (all_0_11_11 = all_0_134_134) % 19.26/5.04 | % 19.26/5.04 +-Applying beta-rule and splitting (1137), into two cases. % 19.26/5.04 |-Branch one: % 19.26/5.04 | (1138) ~ (all_0_8_8 = all_0_131_131) % 19.26/5.04 | % 19.26/5.04 | Equations (971,628) can reduce 1138 to: % 19.26/5.04 | (423) $false % 19.26/5.04 | % 19.26/5.04 |-The branch is then unsatisfiable % 19.26/5.04 |-Branch two: % 19.26/5.04 | (1140) all_0_8_8 = all_0_131_131 % 19.26/5.04 | (1141) ~ (all_0_9_9 = all_0_132_132) | ~ (all_0_10_10 = all_0_133_133) | ~ (all_0_11_11 = all_0_134_134) % 19.26/5.04 | % 19.26/5.04 +-Applying beta-rule and splitting (1141), into two cases. % 19.26/5.04 |-Branch one: % 19.26/5.04 | (1142) ~ (all_0_9_9 = all_0_132_132) % 19.26/5.04 | % 19.26/5.04 | Equations (1099,582) can reduce 1142 to: % 19.26/5.04 | (423) $false % 19.26/5.04 | % 19.26/5.04 |-The branch is then unsatisfiable % 19.26/5.04 |-Branch two: % 19.26/5.04 | (1144) all_0_9_9 = all_0_132_132 % 19.26/5.04 | (1145) ~ (all_0_10_10 = all_0_133_133) | ~ (all_0_11_11 = all_0_134_134) % 19.26/5.04 | % 19.26/5.04 +-Applying beta-rule and splitting (1145), into two cases. % 19.26/5.04 |-Branch one: % 19.26/5.04 | (1146) ~ (all_0_10_10 = all_0_133_133) % 19.26/5.04 | % 19.26/5.04 | Equations (1102,511) can reduce 1146 to: % 19.26/5.04 | (423) $false % 19.26/5.04 | % 19.26/5.04 |-The branch is then unsatisfiable % 19.26/5.04 |-Branch two: % 19.26/5.04 | (1148) all_0_10_10 = all_0_133_133 % 19.26/5.04 | (1149) ~ (all_0_11_11 = all_0_134_134) % 19.26/5.04 | % 19.26/5.04 | Equations (1100,393) can reduce 1149 to: % 19.26/5.04 | (423) $false % 19.26/5.04 | % 19.26/5.04 |-The branch is then unsatisfiable % 19.26/5.04 |-Branch two: % 19.26/5.04 | (1151) ~ (all_0_141_141 = e11) % 19.26/5.04 | (1043) all_0_142_142 = e11 % 19.26/5.04 | % 19.26/5.04 | Combining equations (996,1043) yields a new equation: % 19.26/5.04 | (1045) e11 = e10 % 19.26/5.04 | % 19.26/5.04 | Equations (1045) can reduce 297 to: % 19.26/5.04 | (423) $false % 19.26/5.04 | % 19.26/5.04 |-The branch is then unsatisfiable % 19.26/5.04 |-Branch two: % 19.26/5.04 | (1155) ~ (all_0_145_145 = e10) % 19.26/5.04 | (1156) all_0_145_145 = e13 | all_0_145_145 = e11 % 19.26/5.04 | % 19.26/5.04 +-Applying beta-rule and splitting (1007), into two cases. % 19.26/5.04 |-Branch one: % 19.26/5.04 | (1078) all_0_145_145 = e10 % 19.26/5.04 | % 19.26/5.04 | Equations (1078) can reduce 1155 to: % 19.26/5.04 | (423) $false % 19.26/5.04 | % 19.26/5.04 |-The branch is then unsatisfiable % 19.26/5.04 |-Branch two: % 19.26/5.04 | (1155) ~ (all_0_145_145 = e10) % 19.26/5.04 | (1009) all_0_146_146 = e10 % 19.26/5.04 | % 19.26/5.04 | Combining equations (1009,1048) yields a new equation: % 19.26/5.04 | (1045) e11 = e10 % 19.26/5.04 | % 19.26/5.04 | Equations (1045) can reduce 297 to: % 19.26/5.04 | (423) $false % 19.26/5.04 | % 19.26/5.04 |-The branch is then unsatisfiable % 19.26/5.04 |-Branch two: % 19.26/5.04 | (1163) ~ (all_0_137_137 = e13) % 19.26/5.04 | (1164) all_0_141_141 = e13 | all_0_145_145 = e13 % 19.26/5.04 | % 19.26/5.04 +-Applying beta-rule and splitting (1007), into two cases. % 19.26/5.04 |-Branch one: % 19.26/5.04 | (1078) all_0_145_145 = e10 % 19.26/5.04 | % 19.26/5.04 | Equations (1078) can reduce 1074 to: % 19.26/5.04 | (1166) ~ (e13 = e10) % 19.26/5.04 | % 19.26/5.04 | Simplifying 1166 yields: % 19.26/5.04 | (197) ~ (e13 = e10) % 19.26/5.04 | % 19.26/5.04 | Equations (1078) can reduce 1050 to: % 19.26/5.04 | (1033) ~ (e11 = e10) % 19.26/5.04 | % 19.26/5.04 | Simplifying 1033 yields: % 19.26/5.04 | (297) ~ (e11 = e10) % 19.26/5.04 | % 19.26/5.04 +-Applying beta-rule and splitting (8), into two cases. % 19.26/5.04 |-Branch one: % 19.26/5.04 | (1170) all_0_135_135 = e13 % 19.26/5.04 | % 19.26/5.04 | Combining equations (1030,1170) yields a new equation: % 19.26/5.04 | (1171) e13 = e10 % 19.26/5.04 | % 19.26/5.04 | Equations (1171) can reduce 197 to: % 19.26/5.04 | (423) $false % 19.26/5.04 | % 19.26/5.04 |-The branch is then unsatisfiable % 19.26/5.04 |-Branch two: % 19.26/5.04 | (1173) ~ (all_0_135_135 = e13) % 19.26/5.04 | (1174) all_0_136_136 = e13 | all_0_137_137 = e13 % 19.26/5.04 | % 19.26/5.04 | Equations (1030) can reduce 1173 to: % 19.26/5.04 | (1166) ~ (e13 = e10) % 19.26/5.04 | % 19.26/5.04 | Simplifying 1166 yields: % 19.26/5.04 | (197) ~ (e13 = e10) % 19.26/5.04 | % 19.26/5.04 +-Applying beta-rule and splitting (1068), into two cases. % 19.26/5.04 |-Branch one: % 19.26/5.04 | (1082) all_0_141_141 = e11 % 19.26/5.04 | % 19.26/5.04 | Equations (1082) can reduce 1041 to: % 19.26/5.04 | (1178) ~ (e13 = e11) % 19.26/5.05 | % 19.26/5.05 | Simplifying 1178 yields: % 19.26/5.05 | (349) ~ (e13 = e11) % 19.26/5.05 | % 19.26/5.05 +-Applying beta-rule and splitting (1164), into two cases. % 19.26/5.05 |-Branch one: % 19.26/5.05 | (1180) all_0_141_141 = e13 % 19.26/5.05 | % 19.26/5.05 | Combining equations (1082,1180) yields a new equation: % 19.26/5.05 | (1181) e13 = e11 % 19.26/5.05 | % 19.26/5.05 | Equations (1181) can reduce 349 to: % 19.26/5.05 | (423) $false % 19.26/5.05 | % 19.26/5.05 |-The branch is then unsatisfiable % 19.26/5.05 |-Branch two: % 19.26/5.05 | (1041) ~ (all_0_141_141 = e13) % 19.26/5.05 | (1184) all_0_145_145 = e13 % 19.26/5.05 | % 19.26/5.05 | Combining equations (1078,1184) yields a new equation: % 19.26/5.05 | (1171) e13 = e10 % 19.26/5.05 | % 19.26/5.05 | Equations (1171) can reduce 197 to: % 19.26/5.05 | (423) $false % 19.26/5.05 | % 19.26/5.05 |-The branch is then unsatisfiable % 19.26/5.05 |-Branch two: % 19.26/5.05 | (1151) ~ (all_0_141_141 = e11) % 19.26/5.05 | (1188) all_0_145_145 = e11 % 19.26/5.05 | % 19.26/5.05 | Combining equations (1188,1078) yields a new equation: % 19.26/5.05 | (1044) e11 = e10 % 19.26/5.05 | % 19.26/5.05 | Simplifying 1044 yields: % 19.26/5.05 | (1045) e11 = e10 % 19.26/5.05 | % 19.26/5.05 | Equations (1045) can reduce 297 to: % 19.26/5.05 | (423) $false % 19.26/5.05 | % 19.26/5.05 |-The branch is then unsatisfiable % 19.26/5.05 |-Branch two: % 19.26/5.05 | (1155) ~ (all_0_145_145 = e10) % 19.26/5.05 | (1009) all_0_146_146 = e10 % 19.26/5.05 | % 19.26/5.05 | Combining equations (1048,1009) yields a new equation: % 19.26/5.05 | (1044) e11 = e10 % 19.26/5.05 | % 19.26/5.05 | Simplifying 1044 yields: % 19.26/5.05 | (1045) e11 = e10 % 19.26/5.05 | % 19.26/5.05 | Equations (1045) can reduce 297 to: % 19.26/5.05 | (423) $false % 19.26/5.05 | % 19.26/5.05 |-The branch is then unsatisfiable % 19.26/5.05 |-Branch two: % 19.26/5.05 | (1197) ~ (all_0_136_136 = e11) % 19.26/5.05 | (1198) all_0_140_140 = e11 | all_0_144_144 = e11 % 19.26/5.05 | % 19.26/5.05 +-Applying beta-rule and splitting (268), into two cases. % 19.26/5.05 |-Branch one: % 19.26/5.05 | (1058) all_0_136_136 = e11 % 19.26/5.05 | % 19.26/5.05 | Equations (1058) can reduce 1197 to: % 19.26/5.05 | (423) $false % 19.26/5.05 | % 19.26/5.05 |-The branch is then unsatisfiable % 19.26/5.05 |-Branch two: % 19.26/5.05 | (1197) ~ (all_0_136_136 = e11) % 19.26/5.05 | (1202) all_0_137_137 = e11 | all_0_138_138 = e11 % 19.26/5.05 | % 19.26/5.05 +-Applying beta-rule and splitting (1057), into two cases. % 19.26/5.05 |-Branch one: % 19.26/5.05 | (1069) all_0_144_144 = e11 % 19.26/5.05 | % 19.26/5.05 | Equations (1069) can reduce 1049 to: % 19.26/5.05 | (423) $false % 19.26/5.05 | % 19.26/5.05 |-The branch is then unsatisfiable % 19.26/5.05 |-Branch two: % 19.26/5.05 | (1049) ~ (all_0_144_144 = e11) % 19.26/5.05 | (1072) all_0_144_144 = e13 % 19.26/5.05 | % 19.26/5.05 | Equations (1072) can reduce 1049 to: % 19.26/5.05 | (349) ~ (e13 = e11) % 19.26/5.05 | % 19.26/5.05 +-Applying beta-rule and splitting (1202), into two cases. % 19.26/5.05 |-Branch one: % 19.26/5.05 | (1065) all_0_137_137 = e11 % 19.26/5.05 | % 19.26/5.05 | Equations (1065) can reduce 255 to: % 19.26/5.05 | (1051) ~ (e12 = e11) % 19.26/5.05 | % 19.26/5.05 | Simplifying 1051 yields: % 19.26/5.05 | (313) ~ (e12 = e11) % 19.26/5.05 | % 19.26/5.05 +-Applying beta-rule and splitting (1198), into two cases. % 19.26/5.05 |-Branch one: % 19.26/5.05 | (1024) all_0_140_140 = e11 % 19.26/5.05 | % 19.26/5.05 | Combining equations (1024,984) yields a new equation: % 19.26/5.05 | (1019) e12 = e11 % 19.26/5.05 | % 19.26/5.05 | Equations (1019) can reduce 313 to: % 19.26/5.05 | (423) $false % 19.26/5.05 | % 19.26/5.05 |-The branch is then unsatisfiable % 19.26/5.05 |-Branch two: % 19.26/5.05 | (1028) ~ (all_0_140_140 = e11) % 19.26/5.05 | (1069) all_0_144_144 = e11 % 19.26/5.05 | % 19.26/5.05 | Combining equations (1072,1069) yields a new equation: % 19.26/5.05 | (1216) e13 = e11 % 19.26/5.05 | % 19.26/5.05 | Simplifying 1216 yields: % 19.26/5.05 | (1181) e13 = e11 % 19.26/5.05 | % 19.26/5.05 | Equations (1181) can reduce 349 to: % 19.26/5.05 | (423) $false % 19.26/5.05 | % 19.26/5.05 |-The branch is then unsatisfiable % 19.26/5.05 |-Branch two: % 19.26/5.05 | (1060) ~ (all_0_137_137 = e11) % 19.26/5.05 | (1017) all_0_138_138 = e11 % 19.26/5.05 | % 19.26/5.05 | Combining equations (973,1017) yields a new equation: % 19.26/5.05 | (1018) e12 = e11 % 19.26/5.05 | % 19.26/5.05 | Simplifying 1018 yields: % 19.26/5.05 | (1019) e12 = e11 % 19.26/5.05 | % 19.26/5.05 | Equations (1019) can reduce 313 to: % 19.26/5.05 | (423) $false % 19.26/5.05 | % 19.26/5.05 |-The branch is then unsatisfiable % 19.26/5.05 |-Branch two: % 19.26/5.05 | (1224) ~ (all_0_135_135 = e10) % 19.26/5.05 | (1225) all_0_139_139 = e10 | all_0_143_143 = e10 % 19.26/5.05 | % 19.26/5.05 +-Applying beta-rule and splitting (181), into two cases. % 19.26/5.05 |-Branch one: % 19.26/5.05 | (1030) all_0_135_135 = e10 % 19.26/5.05 | % 19.26/5.05 | Equations (1030) can reduce 1224 to: % 19.26/5.05 | (423) $false % 19.26/5.05 | % 19.26/5.05 |-The branch is then unsatisfiable % 19.26/5.05 |-Branch two: % 19.26/5.05 | (1224) ~ (all_0_135_135 = e10) % 19.26/5.05 | (1229) all_0_137_137 = e10 | all_0_138_138 = e10 % 19.26/5.05 | % 19.26/5.05 +-Applying beta-rule and splitting (1229), into two cases. % 19.26/5.05 |-Branch one: % 19.26/5.05 | (1230) all_0_137_137 = e10 % 19.26/5.05 | % 19.26/5.05 | Equations (1230) can reduce 82 to: % 19.26/5.05 | (1231) ~ (all_0_145_145 = e10) % 19.26/5.05 | % 19.26/5.05 | Simplifying 1231 yields: % 19.26/5.05 | (1155) ~ (all_0_145_145 = e10) % 19.26/5.05 | % 19.26/5.05 +-Applying beta-rule and splitting (1007), into two cases. % 19.26/5.05 |-Branch one: % 19.26/5.05 | (1078) all_0_145_145 = e10 % 19.26/5.05 | % 19.26/5.05 | Equations (1078) can reduce 1155 to: % 19.26/5.05 | (423) $false % 19.26/5.05 | % 19.26/5.05 |-The branch is then unsatisfiable % 19.26/5.05 |-Branch two: % 19.26/5.05 | (1155) ~ (all_0_145_145 = e10) % 19.26/5.05 | (1009) all_0_146_146 = e10 % 19.26/5.05 | % 19.26/5.05 | Equations (1009) can reduce 999 to: % 19.26/5.05 | (423) $false % 19.26/5.05 | % 19.26/5.05 |-The branch is then unsatisfiable % 19.26/5.05 |-Branch two: % 19.26/5.05 | (1238) ~ (all_0_137_137 = e10) % 19.26/5.05 | (1239) all_0_138_138 = e10 % 19.26/5.05 | % 19.26/5.05 | Combining equations (1239,973) yields a new equation: % 19.26/5.05 | (1004) e12 = e10 % 19.26/5.05 | % 19.26/5.05 | Equations (1004) can reduce 165 to: % 19.26/5.05 | (423) $false % 19.26/5.05 | % 19.26/5.05 |-The branch is then unsatisfiable % 19.26/5.05 |-Branch two: % 19.26/5.05 | (1242) ~ (all_0_142_142 = e10) % 19.26/5.05 | (1243) all_0_142_142 = e12 | all_0_142_142 = e11 % 19.26/5.05 | % 19.26/5.05 +-Applying beta-rule and splitting (1243), into two cases. % 19.26/5.05 |-Branch one: % 19.26/5.05 | (1244) all_0_142_142 = e12 % 19.26/5.05 | % 19.26/5.05 | Equations (1244) can reduce 987 to: % 19.26/5.05 | (423) $false % 19.26/5.05 | % 19.26/5.05 |-The branch is then unsatisfiable % 19.26/5.05 |-Branch two: % 19.26/5.05 | (987) ~ (all_0_142_142 = e12) % 19.26/5.05 | (1043) all_0_142_142 = e11 % 19.26/5.05 | % 19.26/5.05 | Equations (1043) can reduce 987 to: % 19.26/5.05 | (1051) ~ (e12 = e11) % 19.26/5.05 | % 19.26/5.05 | Simplifying 1051 yields: % 19.26/5.05 | (313) ~ (e12 = e11) % 19.26/5.05 | % 19.26/5.05 | Equations (1043) can reduce 1242 to: % 19.26/5.05 | (297) ~ (e11 = e10) % 19.26/5.05 | % 19.26/5.05 +-Applying beta-rule and splitting (224), into two cases. % 19.26/5.05 |-Branch one: % 19.26/5.05 | (1009) all_0_146_146 = e10 % 19.26/5.05 | % 19.26/5.05 | Equations (1009) can reduce 328 to: % 19.26/5.05 | (1155) ~ (all_0_145_145 = e10) % 19.26/5.05 | % 19.26/5.05 | Equations (1009) can reduce 966 to: % 19.26/5.05 | (1000) ~ (e12 = e10) % 19.26/5.05 | % 19.26/5.05 | Simplifying 1000 yields: % 19.26/5.05 | (165) ~ (e12 = e10) % 19.26/5.05 | % 19.26/5.05 +-Applying beta-rule and splitting (335), into two cases. % 19.26/5.05 |-Branch one: % 19.26/5.05 | (1003) all_0_143_143 = e10 % 19.26/5.05 | % 19.26/5.05 | Combining equations (959,1003) yields a new equation: % 19.26/5.05 | (1256) e12 = e10 % 19.26/5.05 | % 19.26/5.05 | Simplifying 1256 yields: % 19.26/5.05 | (1004) e12 = e10 % 19.26/5.05 | % 19.26/5.05 | Equations (1004) can reduce 165 to: % 19.26/5.05 | (423) $false % 19.26/5.05 | % 19.26/5.05 |-The branch is then unsatisfiable % 19.26/5.05 |-Branch two: % 19.26/5.05 | (1006) ~ (all_0_143_143 = e10) % 19.26/5.05 | (1260) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11)) | ( ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 19.26/5.06 | % 19.26/5.06 +-Applying beta-rule and splitting (1260), into two cases. % 19.26/5.06 |-Branch one: % 19.26/5.06 | (1261) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11)) % 19.26/5.06 | % 19.26/5.06 +-Applying beta-rule and splitting (1261), into two cases. % 19.26/5.06 |-Branch one: % 19.26/5.06 | (1262) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 19.26/5.06 | % 19.26/5.06 +-Applying beta-rule and splitting (1262), into two cases. % 19.26/5.06 |-Branch one: % 19.26/5.06 | (1263) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) % 19.26/5.06 | % 19.26/5.06 +-Applying beta-rule and splitting (1263), into two cases. % 19.26/5.06 |-Branch one: % 19.26/5.06 | (1264) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 19.26/5.06 | % 19.26/5.06 +-Applying beta-rule and splitting (1264), into two cases. % 19.26/5.06 |-Branch one: % 19.26/5.06 | (1265) all_0_135_135 = e12 & ~ (all_0_136_136 = e13) % 19.26/5.06 | % 19.26/5.06 | Applying alpha-rule on (1265) yields: % 19.26/5.06 | (1266) all_0_135_135 = e12 % 19.26/5.06 | (1267) ~ (all_0_136_136 = e13) % 19.26/5.06 | % 19.26/5.06 | Equations (1266) can reduce 960 to: % 19.26/5.06 | (423) $false % 19.26/5.06 | % 19.26/5.06 |-The branch is then unsatisfiable % 19.26/5.06 |-Branch two: % 19.26/5.06 | (1269) all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 19.26/5.06 | % 19.26/5.06 | Applying alpha-rule on (1269) yields: % 19.26/5.06 | (1050) ~ (all_0_145_145 = e11) % 19.26/5.06 | (999) ~ (all_0_146_146 = e10) % 19.26/5.06 | (973) all_0_138_138 = e12 % 19.26/5.06 | (962) ~ (all_0_144_144 = e12) % 19.26/5.06 | (1274) ~ (all_0_143_143 = e13) % 19.26/5.06 | % 19.26/5.06 | Equations (1009) can reduce 999 to: % 19.26/5.06 | (423) $false % 19.26/5.06 | % 19.26/5.06 |-The branch is then unsatisfiable % 19.26/5.06 |-Branch two: % 19.26/5.06 | (1276) all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10) % 19.26/5.06 | % 19.26/5.06 | Applying alpha-rule on (1276) yields: % 19.26/5.06 | (1277) ~ (all_0_138_138 = e10) % 19.26/5.06 | (1060) ~ (all_0_137_137 = e11) % 19.26/5.06 | (1024) all_0_140_140 = e11 % 19.26/5.06 | (1173) ~ (all_0_135_135 = e13) % 19.26/5.06 | (975) ~ (all_0_136_136 = e12) % 19.26/5.06 | % 19.26/5.06 | Combining equations (1024,984) yields a new equation: % 19.26/5.06 | (1019) e12 = e11 % 19.26/5.06 | % 19.26/5.06 | Equations (1019) can reduce 313 to: % 19.26/5.06 | (423) $false % 19.26/5.06 | % 19.26/5.06 |-The branch is then unsatisfiable % 19.26/5.06 |-Branch two: % 19.26/5.06 | (1284) all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 19.26/5.06 | % 19.26/5.06 | Applying alpha-rule on (1284) yields: % 19.26/5.06 | (1050) ~ (all_0_145_145 = e11) % 19.26/5.06 | (999) ~ (all_0_146_146 = e10) % 19.26/5.06 | (1287) ~ (all_0_141_141 = e10) % 19.26/5.06 | (962) ~ (all_0_144_144 = e12) % 19.26/5.06 | (1274) ~ (all_0_143_143 = e13) % 19.26/5.06 | (1043) all_0_142_142 = e11 % 19.26/5.06 | % 19.26/5.06 | Equations (1009) can reduce 999 to: % 19.26/5.06 | (423) $false % 19.26/5.06 | % 19.26/5.06 |-The branch is then unsatisfiable % 19.26/5.06 |-Branch two: % 19.26/5.06 | (1292) all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11) % 19.26/5.06 | % 19.26/5.06 | Applying alpha-rule on (1292) yields: % 19.26/5.06 | (1242) ~ (all_0_142_142 = e10) % 19.26/5.06 | (1294) ~ (all_0_146_146 = e11) % 19.26/5.06 | (1295) ~ (all_0_140_140 = e12) % 19.26/5.06 | (1296) ~ (all_0_139_139 = e13) % 19.26/5.06 | (1078) all_0_145_145 = e10 % 19.26/5.06 | (1151) ~ (all_0_141_141 = e11) % 19.26/5.06 | % 19.26/5.06 | Equations (1078) can reduce 1155 to: % 19.26/5.06 | (423) $false % 19.26/5.06 | % 19.26/5.06 |-The branch is then unsatisfiable % 19.26/5.06 |-Branch two: % 19.26/5.06 | (1300) ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 19.26/5.06 | % 19.26/5.06 | Applying alpha-rule on (1300) yields: % 19.26/5.06 | (1274) ~ (all_0_143_143 = e13) % 19.26/5.06 | (962) ~ (all_0_144_144 = e12) % 19.26/5.06 | (1050) ~ (all_0_145_145 = e11) % 19.26/5.06 | (999) ~ (all_0_146_146 = e10) % 19.26/5.06 | % 19.26/5.06 | Equations (1009) can reduce 999 to: % 19.26/5.06 | (423) $false % 19.26/5.06 | % 19.26/5.06 |-The branch is then unsatisfiable % 19.26/5.06 |-Branch two: % 19.26/5.06 | (999) ~ (all_0_146_146 = e10) % 19.26/5.06 | (1012) all_0_146_146 = e12 | all_0_146_146 = e11 % 19.26/5.06 | % 19.26/5.06 +-Applying beta-rule and splitting (210), into two cases. % 19.26/5.06 |-Branch one: % 19.26/5.06 | (1239) all_0_138_138 = e10 % 19.26/5.06 | % 19.26/5.06 | Combining equations (973,1239) yields a new equation: % 19.26/5.06 | (1256) e12 = e10 % 19.26/5.06 | % 19.26/5.06 | Simplifying 1256 yields: % 19.26/5.06 | (1004) e12 = e10 % 19.26/5.06 | % 19.26/5.06 | Equations (1004) can reduce 165 to: % 19.26/5.06 | (423) $false % 19.26/5.06 | % 19.26/5.06 |-The branch is then unsatisfiable % 19.26/5.06 |-Branch two: % 19.26/5.06 | (1277) ~ (all_0_138_138 = e10) % 19.26/5.06 | (1313) all_0_142_142 = e10 | all_0_146_146 = e10 % 19.26/5.06 | % 19.26/5.06 +-Applying beta-rule and splitting (1313), into two cases. % 19.26/5.06 |-Branch one: % 19.26/5.06 | (996) all_0_142_142 = e10 % 19.26/5.06 | % 19.26/5.06 | Combining equations (1043,996) yields a new equation: % 19.26/5.06 | (1044) e11 = e10 % 19.26/5.06 | % 19.26/5.06 | Simplifying 1044 yields: % 19.26/5.06 | (1045) e11 = e10 % 19.26/5.06 | % 19.26/5.06 | Equations (1045) can reduce 297 to: % 19.26/5.06 | (423) $false % 19.26/5.06 | % 19.26/5.06 |-The branch is then unsatisfiable % 19.26/5.06 |-Branch two: % 19.26/5.06 | (1242) ~ (all_0_142_142 = e10) % 19.26/5.06 | (1009) all_0_146_146 = e10 % 19.26/5.06 | % 19.26/5.06 | Equations (1009) can reduce 999 to: % 19.26/5.06 | (423) $false % 19.26/5.06 | % 19.26/5.06 |-The branch is then unsatisfiable % 19.26/5.06 |-Branch two: % 19.26/5.06 | (1295) ~ (all_0_140_140 = e12) % 19.26/5.06 | (1054) all_0_144_144 = e12 % 19.26/5.06 | % 19.26/5.06 | Equations (1054) can reduce 962 to: % 19.26/5.06 | (423) $false % 19.26/5.06 | % 19.26/5.06 |-The branch is then unsatisfiable % 19.26/5.06 |-Branch two: % 19.26/5.06 | (1324) ~ (all_0_138_138 = e12) % 19.26/5.06 | (1325) all_0_142_142 = e12 | all_0_146_146 = e12 % 19.26/5.06 | % 19.26/5.06 +-Applying beta-rule and splitting (285), into two cases. % 19.26/5.06 |-Branch one: % 19.26/5.06 | (1266) all_0_135_135 = e12 % 19.26/5.06 | % 19.26/5.06 | Equations (1266) can reduce 960 to: % 19.26/5.06 | (423) $false % 19.26/5.06 | % 19.26/5.06 |-The branch is then unsatisfiable % 19.26/5.06 |-Branch two: % 19.26/5.06 | (960) ~ (all_0_135_135 = e12) % 19.26/5.06 | (1329) all_0_136_136 = e12 | all_0_138_138 = e12 % 19.26/5.06 | % 19.26/5.06 +-Applying beta-rule and splitting (1325), into two cases. % 19.26/5.06 |-Branch one: % 19.26/5.06 | (1244) all_0_142_142 = e12 % 19.26/5.06 | % 19.26/5.06 | Equations (1244) can reduce 316 to: % 19.26/5.06 | (1324) ~ (all_0_138_138 = e12) % 19.26/5.06 | % 19.26/5.06 | Equations (1244) can reduce 320 to: % 19.26/5.06 | (985) ~ (all_0_139_139 = e12) % 19.26/5.06 | % 19.26/5.06 | Equations (1244) can reduce 117 to: % 19.26/5.06 | (99) ~ (all_0_141_141 = e12) % 19.26/5.06 | % 19.26/5.06 | Equations (1244) can reduce 115 to: % 19.26/5.06 | (965) ~ (all_0_146_146 = e12) % 19.26/5.06 | % 19.26/5.06 | Simplifying 965 yields: % 19.26/5.06 | (966) ~ (all_0_146_146 = e12) % 19.26/5.06 | % 19.26/5.06 | From (1244) and (269) follows: % 19.26/5.06 | (1336) op1(e12, e11) = all_0_121_121 % 19.26/5.07 | % 19.26/5.07 | From (1244) and (245) follows: % 19.26/5.07 | (1337) op1(e11, e10) = e12 % 19.26/5.07 | % 19.26/5.07 +-Applying beta-rule and splitting (1329), into two cases. % 19.26/5.07 |-Branch one: % 19.26/5.07 | (980) all_0_136_136 = e12 % 19.26/5.07 | % 19.26/5.07 | Equations (980) can reduce 279 to: % 19.26/5.07 | (960) ~ (all_0_135_135 = e12) % 19.26/5.07 | % 19.26/5.07 | Equations (980) can reduce 220 to: % 19.26/5.07 | (1340) ~ (all_0_137_137 = e12) % 19.26/5.07 | % 19.26/5.07 | Simplifying 1340 yields: % 19.26/5.07 | (255) ~ (all_0_137_137 = e12) % 19.26/5.07 | % 19.26/5.07 | Equations (980) can reduce 319 to: % 19.26/5.07 | (1342) ~ (all_0_138_138 = e12) % 19.26/5.07 | % 19.26/5.07 | Simplifying 1342 yields: % 19.26/5.07 | (1324) ~ (all_0_138_138 = e12) % 19.26/5.07 | % 19.26/5.07 | Equations (980) can reduce 266 to: % 19.26/5.07 | (1344) ~ (all_0_140_140 = e12) % 19.26/5.07 | % 19.26/5.07 | Simplifying 1344 yields: % 19.26/5.07 | (1295) ~ (all_0_140_140 = e12) % 19.26/5.07 | % 19.26/5.07 | Equations (980) can reduce 196 to: % 19.26/5.07 | (961) ~ (all_0_144_144 = e12) % 19.26/5.07 | % 19.26/5.07 | Simplifying 961 yields: % 19.26/5.07 | (962) ~ (all_0_144_144 = e12) % 19.26/5.07 | % 19.26/5.07 | Equations (980) can reduce 32 to: % 19.26/5.07 | (165) ~ (e12 = e10) % 19.26/5.07 | % 19.26/5.07 | Instantiating formula (312) with e12, e11, all_0_121_121, all_0_137_137 and discharging atoms op1(e12, e11) = all_0_121_121, op1(e12, e11) = all_0_137_137, yields: % 19.26/5.07 | (1349) all_0_121_121 = all_0_137_137 % 19.26/5.07 | % 19.26/5.07 +-Applying beta-rule and splitting (334), into two cases. % 19.26/5.07 |-Branch one: % 19.26/5.07 | (1054) all_0_144_144 = e12 % 19.26/5.07 | % 19.26/5.07 | Equations (1054) can reduce 962 to: % 19.26/5.07 | (423) $false % 19.26/5.07 | % 19.26/5.07 |-The branch is then unsatisfiable % 19.26/5.07 |-Branch two: % 19.26/5.07 | (962) ~ (all_0_144_144 = e12) % 19.26/5.07 | (1057) all_0_144_144 = e13 | all_0_144_144 = e11 % 19.26/5.07 | % 19.26/5.07 +-Applying beta-rule and splitting (309), into two cases. % 19.26/5.07 |-Branch one: % 19.26/5.07 | (1030) all_0_135_135 = e10 % 19.26/5.07 | % 19.26/5.07 | Equations (1030) can reduce 29 to: % 19.26/5.07 | (1355) ~ (all_0_137_137 = e10) % 19.26/5.07 | % 19.26/5.07 | Simplifying 1355 yields: % 19.26/5.07 | (1238) ~ (all_0_137_137 = e10) % 19.26/5.07 | % 19.26/5.07 | Equations (1030) can reduce 2 to: % 19.26/5.07 | (1357) ~ (all_0_139_139 = e10) % 19.26/5.07 | % 19.26/5.07 | Simplifying 1357 yields: % 19.26/5.07 | (997) ~ (all_0_139_139 = e10) % 19.26/5.07 | % 19.26/5.07 | Equations (1030) can reduce 960 to: % 19.26/5.07 | (1000) ~ (e12 = e10) % 19.26/5.07 | % 19.26/5.07 | Simplifying 1000 yields: % 19.26/5.07 | (165) ~ (e12 = e10) % 19.26/5.07 | % 19.26/5.07 | Equations (1030) can reduce 204 to: % 19.26/5.07 | (1033) ~ (e11 = e10) % 19.26/5.07 | % 19.26/5.07 | Simplifying 1033 yields: % 19.26/5.07 | (297) ~ (e11 = e10) % 19.26/5.07 | % 19.26/5.07 +-Applying beta-rule and splitting (127), into two cases. % 19.26/5.07 |-Branch one: % 19.26/5.07 | (1013) all_0_139_139 = e10 % 19.26/5.07 | % 19.26/5.07 | Equations (1013) can reduce 997 to: % 19.26/5.07 | (423) $false % 19.26/5.07 | % 19.26/5.07 |-The branch is then unsatisfiable % 19.26/5.07 |-Branch two: % 19.26/5.07 | (997) ~ (all_0_139_139 = e10) % 19.26/5.07 | (1016) all_0_139_139 = e13 | all_0_139_139 = e12 % 19.26/5.07 | % 19.26/5.07 +-Applying beta-rule and splitting (8), into two cases. % 19.26/5.07 |-Branch one: % 19.26/5.07 | (1170) all_0_135_135 = e13 % 19.26/5.07 | % 19.26/5.07 | Combining equations (1030,1170) yields a new equation: % 19.26/5.07 | (1171) e13 = e10 % 19.26/5.07 | % 19.26/5.07 | Equations (1171) can reduce 197 to: % 19.26/5.07 | (423) $false % 19.26/5.07 | % 19.26/5.07 |-The branch is then unsatisfiable % 19.26/5.07 |-Branch two: % 19.26/5.07 | (1173) ~ (all_0_135_135 = e13) % 19.26/5.07 | (1174) all_0_136_136 = e13 | all_0_137_137 = e13 % 19.26/5.07 | % 19.26/5.07 +-Applying beta-rule and splitting (1016), into two cases. % 19.26/5.07 |-Branch one: % 19.26/5.07 | (1036) all_0_139_139 = e12 % 19.26/5.07 | % 19.26/5.07 | Equations (1036) can reduce 985 to: % 19.26/5.07 | (423) $false % 19.26/5.07 | % 19.26/5.07 |-The branch is then unsatisfiable % 19.26/5.07 |-Branch two: % 19.26/5.07 | (985) ~ (all_0_139_139 = e12) % 19.26/5.07 | (1039) all_0_139_139 = e13 % 19.26/5.07 | % 19.26/5.07 | Equations (1039) can reduce 985 to: % 19.26/5.07 | (292) ~ (e13 = e12) % 19.26/5.07 | % 19.26/5.07 +-Applying beta-rule and splitting (203), into two cases. % 19.26/5.07 |-Branch one: % 19.26/5.07 | (984) all_0_140_140 = e12 % 19.26/5.07 | % 19.26/5.07 | Equations (984) can reduce 1295 to: % 19.26/5.07 | (423) $false % 19.26/5.07 | % 19.26/5.07 |-The branch is then unsatisfiable % 19.26/5.07 |-Branch two: % 19.26/5.07 | (1295) ~ (all_0_140_140 = e12) % 19.26/5.07 | (1380) all_0_140_140 = e13 | all_0_140_140 = e11 % 19.26/5.07 | % 19.26/5.07 +-Applying beta-rule and splitting (1174), into two cases. % 19.26/5.07 |-Branch one: % 19.26/5.07 | (1381) all_0_136_136 = e13 % 19.26/5.07 | % 19.26/5.07 | Combining equations (980,1381) yields a new equation: % 19.26/5.07 | (1382) e13 = e12 % 19.26/5.07 | % 19.26/5.07 | Equations (1382) can reduce 292 to: % 19.26/5.07 | (423) $false % 19.26/5.07 | % 19.26/5.07 |-The branch is then unsatisfiable % 19.26/5.07 |-Branch two: % 19.26/5.07 | (1267) ~ (all_0_136_136 = e13) % 19.26/5.07 | (1076) all_0_137_137 = e13 % 19.26/5.07 | % 19.26/5.07 | Equations (1076) can reduce 132 to: % 19.26/5.07 | (1386) ~ (all_0_138_138 = e13) % 19.26/5.07 | % 19.26/5.07 | Simplifying 1386 yields: % 19.26/5.07 | (102) ~ (all_0_138_138 = e13) % 19.26/5.07 | % 19.26/5.07 | Equations (1076) can reduce 1238 to: % 19.26/5.07 | (197) ~ (e13 = e10) % 19.26/5.07 | % 19.26/5.07 +-Applying beta-rule and splitting (109), into two cases. % 19.26/5.07 |-Branch one: % 19.26/5.07 | (1013) all_0_139_139 = e10 % 19.26/5.07 | % 19.26/5.07 | Combining equations (1039,1013) yields a new equation: % 19.26/5.07 | (1390) e13 = e10 % 19.26/5.07 | % 19.26/5.07 | Simplifying 1390 yields: % 19.26/5.07 | (1171) e13 = e10 % 19.26/5.07 | % 19.26/5.07 | Equations (1171) can reduce 197 to: % 19.26/5.07 | (423) $false % 19.26/5.07 | % 19.26/5.07 |-The branch is then unsatisfiable % 19.26/5.07 |-Branch two: % 19.26/5.07 | (997) ~ (all_0_139_139 = e10) % 19.26/5.07 | (1394) all_0_141_141 = e10 | all_0_142_142 = e10 % 19.26/5.07 | % 19.26/5.07 +-Applying beta-rule and splitting (1394), into two cases. % 19.26/5.07 |-Branch one: % 19.26/5.07 | (1395) all_0_141_141 = e10 % 19.26/5.07 | % 19.26/5.07 | Equations (1395) can reduce 264 to: % 19.26/5.07 | (222) ~ (all_0_140_140 = e10) % 19.26/5.07 | % 19.26/5.07 | Equations (1395) can reduce 305 to: % 19.26/5.07 | (1231) ~ (all_0_145_145 = e10) % 19.26/5.07 | % 19.26/5.07 | Simplifying 1231 yields: % 19.26/5.07 | (1155) ~ (all_0_145_145 = e10) % 19.26/5.07 | % 19.26/5.07 | Equations (1395) can reduce 99 to: % 19.26/5.07 | (1000) ~ (e12 = e10) % 19.26/5.07 | % 19.26/5.07 | Simplifying 1000 yields: % 19.26/5.07 | (165) ~ (e12 = e10) % 19.26/5.07 | % 19.26/5.07 +-Applying beta-rule and splitting (232), into two cases. % 19.26/5.07 |-Branch one: % 19.26/5.07 | (1003) all_0_143_143 = e10 % 19.26/5.07 | % 19.26/5.07 | Combining equations (1003,959) yields a new equation: % 19.26/5.07 | (1004) e12 = e10 % 19.26/5.07 | % 19.26/5.07 | Equations (1004) can reduce 165 to: % 19.26/5.07 | (423) $false % 19.26/5.07 | % 19.26/5.07 |-The branch is then unsatisfiable % 19.26/5.07 |-Branch two: % 19.26/5.07 | (1006) ~ (all_0_143_143 = e10) % 19.26/5.07 | (1007) all_0_145_145 = e10 | all_0_146_146 = e10 % 19.26/5.07 | % 19.26/5.07 +-Applying beta-rule and splitting (72), into two cases. % 19.26/5.07 |-Branch one: % 19.26/5.07 | (1024) all_0_140_140 = e11 % 19.26/5.07 | % 19.26/5.07 | Equations (1024) can reduce 48 to: % 19.26/5.07 | (1061) ~ (all_0_144_144 = e11) % 19.26/5.07 | % 19.26/5.07 | Simplifying 1061 yields: % 19.26/5.07 | (1049) ~ (all_0_144_144 = e11) % 19.26/5.07 | % 19.26/5.07 | Equations (1024) can reduce 1295 to: % 19.26/5.07 | (1051) ~ (e12 = e11) % 19.26/5.07 | % 19.26/5.07 | Simplifying 1051 yields: % 19.26/5.07 | (313) ~ (e12 = e11) % 19.26/5.07 | % 19.26/5.07 | Equations (1024) can reduce 222 to: % 19.26/5.07 | (297) ~ (e11 = e10) % 19.26/5.07 | % 19.26/5.07 +-Applying beta-rule and splitting (1057), into two cases. % 19.26/5.07 |-Branch one: % 19.26/5.07 | (1069) all_0_144_144 = e11 % 19.26/5.07 | % 19.26/5.07 | Equations (1069) can reduce 1049 to: % 19.26/5.07 | (423) $false % 19.26/5.07 | % 19.26/5.07 |-The branch is then unsatisfiable % 19.26/5.07 |-Branch two: % 19.26/5.07 | (1049) ~ (all_0_144_144 = e11) % 19.26/5.07 | (1072) all_0_144_144 = e13 % 19.26/5.07 | % 19.26/5.07 +-Applying beta-rule and splitting (1007), into two cases. % 19.26/5.07 |-Branch one: % 19.26/5.07 | (1078) all_0_145_145 = e10 % 19.26/5.07 | % 19.26/5.07 | Equations (1078) can reduce 1155 to: % 19.26/5.07 | (423) $false % 19.26/5.07 | % 19.26/5.07 |-The branch is then unsatisfiable % 19.26/5.07 |-Branch two: % 19.26/5.07 | (1155) ~ (all_0_145_145 = e10) % 19.26/5.07 | (1009) all_0_146_146 = e10 % 19.26/5.07 | % 19.26/5.07 | Equations (1009) can reduce 50 to: % 19.26/5.07 | (1277) ~ (all_0_138_138 = e10) % 19.26/5.07 | % 19.26/5.07 | Equations (1009) can reduce 328 to: % 19.26/5.07 | (1155) ~ (all_0_145_145 = e10) % 19.26/5.07 | % 19.26/5.07 | Equations (1009) can reduce 966 to: % 19.26/5.07 | (1000) ~ (e12 = e10) % 19.26/5.07 | % 19.26/5.07 | Simplifying 1000 yields: % 19.26/5.07 | (165) ~ (e12 = e10) % 19.26/5.07 | % 19.26/5.07 +-Applying beta-rule and splitting (268), into two cases. % 19.26/5.07 |-Branch one: % 19.26/5.07 | (1058) all_0_136_136 = e11 % 19.26/5.07 | % 19.26/5.07 | Combining equations (1058,980) yields a new equation: % 19.26/5.07 | (1019) e12 = e11 % 19.26/5.07 | % 19.26/5.07 | Equations (1019) can reduce 313 to: % 19.26/5.07 | (423) $false % 19.26/5.07 | % 19.26/5.07 |-The branch is then unsatisfiable % 19.26/5.07 |-Branch two: % 19.26/5.07 | (1197) ~ (all_0_136_136 = e11) % 19.26/5.07 | (1202) all_0_137_137 = e11 | all_0_138_138 = e11 % 19.26/5.07 | % 19.26/5.07 | Equations (980) can reduce 1197 to: % 19.26/5.07 | (313) ~ (e12 = e11) % 19.26/5.07 | % 19.26/5.07 +-Applying beta-rule and splitting (235), into two cases. % 19.26/5.07 |-Branch one: % 19.26/5.07 | (1017) all_0_138_138 = e11 % 19.26/5.07 | % 19.26/5.07 | Equations (1017) can reduce 102 to: % 19.26/5.08 | (1178) ~ (e13 = e11) % 19.26/5.08 | % 19.26/5.08 | Simplifying 1178 yields: % 19.26/5.08 | (349) ~ (e13 = e11) % 19.26/5.08 | % 19.26/5.08 | Equations (1017) can reduce 1277 to: % 19.26/5.08 | (297) ~ (e11 = e10) % 19.26/5.08 | % 19.26/5.08 +-Applying beta-rule and splitting (163), into two cases. % 19.26/5.08 |-Branch one: % 19.26/5.08 | (1069) all_0_144_144 = e11 % 19.26/5.08 | % 19.26/5.08 | Combining equations (1072,1069) yields a new equation: % 19.26/5.08 | (1216) e13 = e11 % 19.26/5.08 | % 19.26/5.08 | Simplifying 1216 yields: % 19.26/5.08 | (1181) e13 = e11 % 19.26/5.08 | % 19.26/5.08 | Equations (1181) can reduce 349 to: % 19.26/5.08 | (423) $false % 19.26/5.08 | % 19.26/5.08 |-The branch is then unsatisfiable % 19.26/5.08 |-Branch two: % 19.26/5.08 | (1049) ~ (all_0_144_144 = e11) % 19.26/5.08 | (1439) all_0_145_145 = e11 | all_0_146_146 = e11 % 19.26/5.08 | % 19.26/5.08 +-Applying beta-rule and splitting (1439), into two cases. % 19.26/5.08 |-Branch one: % 19.26/5.08 | (1188) all_0_145_145 = e11 % 19.26/5.08 | % 19.26/5.08 | Equations (1188) can reduce 298 to: % 19.26/5.08 | (1051) ~ (e12 = e11) % 19.26/5.08 | % 19.26/5.08 | Simplifying 1051 yields: % 19.26/5.08 | (313) ~ (e12 = e11) % 19.26/5.08 | % 19.26/5.08 | Equations (1188) can reduce 1155 to: % 19.26/5.08 | (297) ~ (e11 = e10) % 19.26/5.08 | % 19.26/5.08 +-Applying beta-rule and splitting (335), into two cases. % 19.26/5.08 |-Branch one: % 19.26/5.08 | (1003) all_0_143_143 = e10 % 19.26/5.08 | % 19.26/5.08 | Combining equations (959,1003) yields a new equation: % 19.26/5.08 | (1256) e12 = e10 % 19.26/5.08 | % 19.26/5.08 | Simplifying 1256 yields: % 19.26/5.08 | (1004) e12 = e10 % 19.26/5.08 | % 19.26/5.08 | Equations (1004) can reduce 165 to: % 19.26/5.08 | (423) $false % 19.26/5.08 | % 19.26/5.08 |-The branch is then unsatisfiable % 19.26/5.08 |-Branch two: % 19.26/5.08 | (1006) ~ (all_0_143_143 = e10) % 19.26/5.08 | (1260) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11)) | ( ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 19.26/5.08 | % 19.26/5.08 | Equations (959) can reduce 1006 to: % 19.26/5.08 | (165) ~ (e12 = e10) % 19.26/5.08 | % 19.26/5.08 +-Applying beta-rule and splitting (1260), into two cases. % 19.26/5.08 |-Branch one: % 19.26/5.08 | (1261) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11)) % 19.26/5.08 | % 19.26/5.08 +-Applying beta-rule and splitting (1261), into two cases. % 19.26/5.08 |-Branch one: % 19.26/5.08 | (1262) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 19.26/5.08 | % 19.26/5.08 +-Applying beta-rule and splitting (1262), into two cases. % 19.26/5.08 |-Branch one: % 19.26/5.08 | (1263) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) % 19.26/5.08 | % 19.26/5.08 +-Applying beta-rule and splitting (1263), into two cases. % 19.26/5.08 |-Branch one: % 19.26/5.08 | (1264) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 19.26/5.08 | % 19.26/5.08 +-Applying beta-rule and splitting (1264), into two cases. % 19.26/5.08 |-Branch one: % 19.26/5.08 | (1265) all_0_135_135 = e12 & ~ (all_0_136_136 = e13) % 19.26/5.08 | % 19.26/5.08 | Applying alpha-rule on (1265) yields: % 19.26/5.08 | (1266) all_0_135_135 = e12 % 19.26/5.08 | (1267) ~ (all_0_136_136 = e13) % 19.26/5.08 | % 19.26/5.08 | Combining equations (1266,1030) yields a new equation: % 19.26/5.08 | (1256) e12 = e10 % 19.26/5.08 | % 19.26/5.08 | Simplifying 1256 yields: % 19.26/5.08 | (1004) e12 = e10 % 19.26/5.08 | % 19.26/5.08 | Equations (1004) can reduce 165 to: % 19.26/5.08 | (423) $false % 19.26/5.08 | % 19.26/5.08 |-The branch is then unsatisfiable % 19.26/5.08 |-Branch two: % 19.26/5.08 | (1269) all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 19.26/5.08 | % 19.26/5.08 | Applying alpha-rule on (1269) yields: % 19.26/5.08 | (1050) ~ (all_0_145_145 = e11) % 19.26/5.08 | (999) ~ (all_0_146_146 = e10) % 19.26/5.08 | (973) all_0_138_138 = e12 % 19.26/5.08 | (962) ~ (all_0_144_144 = e12) % 19.26/5.08 | (1274) ~ (all_0_143_143 = e13) % 19.26/5.08 | % 19.26/5.08 | Combining equations (973,1017) yields a new equation: % 19.26/5.08 | (1018) e12 = e11 % 19.26/5.08 | % 19.26/5.08 | Simplifying 1018 yields: % 19.26/5.08 | (1019) e12 = e11 % 19.26/5.08 | % 19.26/5.08 | Equations (1019) can reduce 313 to: % 19.26/5.08 | (423) $false % 19.26/5.08 | % 19.26/5.08 |-The branch is then unsatisfiable % 19.26/5.08 |-Branch two: % 19.26/5.08 | (1276) all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10) % 19.26/5.08 | % 19.26/5.08 | Applying alpha-rule on (1276) yields: % 19.26/5.08 | (1277) ~ (all_0_138_138 = e10) % 19.26/5.08 | (1060) ~ (all_0_137_137 = e11) % 19.26/5.08 | (1024) all_0_140_140 = e11 % 19.26/5.08 | (1173) ~ (all_0_135_135 = e13) % 19.26/5.08 | (975) ~ (all_0_136_136 = e12) % 19.26/5.08 | % 19.26/5.08 | Equations (980) can reduce 975 to: % 19.26/5.08 | (423) $false % 19.26/5.08 | % 19.26/5.08 |-The branch is then unsatisfiable % 19.26/5.08 |-Branch two: % 19.26/5.08 | (1284) all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 19.26/5.08 | % 19.26/5.08 | Applying alpha-rule on (1284) yields: % 19.26/5.08 | (1050) ~ (all_0_145_145 = e11) % 19.26/5.08 | (999) ~ (all_0_146_146 = e10) % 19.26/5.08 | (1287) ~ (all_0_141_141 = e10) % 19.26/5.08 | (962) ~ (all_0_144_144 = e12) % 19.26/5.08 | (1274) ~ (all_0_143_143 = e13) % 19.26/5.08 | (1043) all_0_142_142 = e11 % 19.26/5.08 | % 19.26/5.08 | Combining equations (1244,1043) yields a new equation: % 19.26/5.08 | (1018) e12 = e11 % 19.26/5.08 | % 19.26/5.08 | Simplifying 1018 yields: % 19.26/5.08 | (1019) e12 = e11 % 19.26/5.08 | % 19.26/5.08 | Equations (1019) can reduce 313 to: % 19.26/5.08 | (423) $false % 19.26/5.08 | % 19.26/5.08 |-The branch is then unsatisfiable % 19.26/5.08 |-Branch two: % 19.26/5.08 | (1292) all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11) % 19.26/5.08 | % 19.26/5.08 | Applying alpha-rule on (1292) yields: % 19.26/5.08 | (1242) ~ (all_0_142_142 = e10) % 19.26/5.08 | (1294) ~ (all_0_146_146 = e11) % 19.26/5.08 | (1295) ~ (all_0_140_140 = e12) % 19.26/5.08 | (1296) ~ (all_0_139_139 = e13) % 19.26/5.08 | (1078) all_0_145_145 = e10 % 19.26/5.08 | (1151) ~ (all_0_141_141 = e11) % 19.26/5.08 | % 19.26/5.08 | Combining equations (1188,1078) yields a new equation: % 19.26/5.08 | (1044) e11 = e10 % 19.26/5.08 | % 19.26/5.08 | Simplifying 1044 yields: % 19.26/5.08 | (1045) e11 = e10 % 19.26/5.08 | % 19.26/5.08 | Equations (1045) can reduce 297 to: % 19.26/5.08 | (423) $false % 19.26/5.08 | % 19.26/5.08 |-The branch is then unsatisfiable % 19.26/5.08 |-Branch two: % 19.26/5.08 | (1300) ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 19.26/5.08 | % 19.26/5.08 | Applying alpha-rule on (1300) yields: % 19.26/5.08 | (1274) ~ (all_0_143_143 = e13) % 19.26/5.08 | (962) ~ (all_0_144_144 = e12) % 19.26/5.08 | (1050) ~ (all_0_145_145 = e11) % 19.26/5.08 | (999) ~ (all_0_146_146 = e10) % 19.26/5.08 | % 19.26/5.08 | Equations (1009) can reduce 999 to: % 19.26/5.08 | (423) $false % 19.26/5.08 | % 19.26/5.08 |-The branch is then unsatisfiable % 19.26/5.08 |-Branch two: % 19.26/5.08 | (1050) ~ (all_0_145_145 = e11) % 19.26/5.08 | (1048) all_0_146_146 = e11 % 19.26/5.08 | % 19.26/5.08 | Combining equations (1048,1009) yields a new equation: % 19.26/5.08 | (1044) e11 = e10 % 19.26/5.08 | % 19.26/5.08 | Simplifying 1044 yields: % 19.26/5.08 | (1045) e11 = e10 % 19.26/5.08 | % 19.26/5.08 | Equations (1045) can reduce 297 to: % 19.26/5.08 | (423) $false % 19.26/5.08 | % 19.26/5.08 |-The branch is then unsatisfiable % 19.26/5.08 |-Branch two: % 19.26/5.08 | (1021) ~ (all_0_138_138 = e11) % 19.26/5.08 | (1022) all_0_142_142 = e11 | all_0_146_146 = e11 % 19.26/5.08 | % 19.26/5.08 +-Applying beta-rule and splitting (1022), into two cases. % 19.26/5.08 |-Branch one: % 19.26/5.08 | (1043) all_0_142_142 = e11 % 19.26/5.08 | % 19.26/5.08 | Combining equations (1244,1043) yields a new equation: % 19.26/5.08 | (1018) e12 = e11 % 19.26/5.08 | % 19.26/5.08 | Simplifying 1018 yields: % 19.26/5.08 | (1019) e12 = e11 % 19.26/5.08 | % 19.26/5.08 | Equations (1019) can reduce 313 to: % 19.26/5.08 | (423) $false % 19.26/5.08 | % 19.26/5.08 |-The branch is then unsatisfiable % 19.26/5.08 |-Branch two: % 19.26/5.08 | (1047) ~ (all_0_142_142 = e11) % 19.26/5.08 | (1048) all_0_146_146 = e11 % 19.26/5.08 | % 19.26/5.08 | Combining equations (1009,1048) yields a new equation: % 19.26/5.08 | (1045) e11 = e10 % 19.26/5.08 | % 19.26/5.08 | Equations (1045) can reduce 297 to: % 19.26/5.08 | (423) $false % 19.26/5.08 | % 19.26/5.08 |-The branch is then unsatisfiable % 19.26/5.09 |-Branch two: % 19.26/5.09 | (1028) ~ (all_0_140_140 = e11) % 19.26/5.09 | (1029) all_0_141_141 = e11 | all_0_142_142 = e11 % 19.26/5.09 | % 19.26/5.09 +-Applying beta-rule and splitting (1029), into two cases. % 19.26/5.09 |-Branch one: % 19.26/5.09 | (1082) all_0_141_141 = e11 % 19.26/5.09 | % 19.26/5.09 | Combining equations (1082,1395) yields a new equation: % 19.26/5.09 | (1044) e11 = e10 % 19.26/5.09 | % 19.26/5.09 | Simplifying 1044 yields: % 19.26/5.09 | (1045) e11 = e10 % 19.26/5.09 | % 19.26/5.09 | Equations (1045) can reduce 297 to: % 19.26/5.09 | (423) $false % 19.26/5.09 | % 19.26/5.09 |-The branch is then unsatisfiable % 19.26/5.09 |-Branch two: % 19.26/5.09 | (1151) ~ (all_0_141_141 = e11) % 19.26/5.09 | (1043) all_0_142_142 = e11 % 19.26/5.09 | % 19.26/5.09 | Combining equations (1244,1043) yields a new equation: % 19.26/5.09 | (1018) e12 = e11 % 19.26/5.09 | % 19.26/5.09 | Simplifying 1018 yields: % 19.26/5.09 | (1019) e12 = e11 % 19.26/5.09 | % 19.26/5.09 | Equations (1019) can reduce 313 to: % 19.26/5.09 | (423) $false % 19.26/5.09 | % 19.26/5.09 |-The branch is then unsatisfiable % 19.26/5.09 |-Branch two: % 19.26/5.09 | (1287) ~ (all_0_141_141 = e10) % 19.26/5.09 | (996) all_0_142_142 = e10 % 19.26/5.09 | % 19.26/5.09 | Combining equations (1244,996) yields a new equation: % 19.26/5.09 | (1256) e12 = e10 % 19.26/5.09 | % 19.26/5.09 | Simplifying 1256 yields: % 19.26/5.09 | (1004) e12 = e10 % 19.26/5.09 | % 19.26/5.09 | Equations (1004) can reduce 165 to: % 19.26/5.09 | (423) $false % 19.26/5.09 | % 19.26/5.09 |-The branch is then unsatisfiable % 19.26/5.09 |-Branch two: % 19.26/5.09 | (1224) ~ (all_0_135_135 = e10) % 19.26/5.09 | (1535) all_0_135_135 = e13 | all_0_135_135 = e12 % 19.26/5.09 | % 19.26/5.09 +-Applying beta-rule and splitting (1535), into two cases. % 19.26/5.09 |-Branch one: % 19.26/5.09 | (1266) all_0_135_135 = e12 % 19.26/5.09 | % 19.26/5.09 | Equations (1266) can reduce 960 to: % 19.26/5.09 | (423) $false % 19.26/5.09 | % 19.26/5.09 |-The branch is then unsatisfiable % 19.26/5.09 |-Branch two: % 19.26/5.09 | (960) ~ (all_0_135_135 = e12) % 19.26/5.09 | (1170) all_0_135_135 = e13 % 19.26/5.09 | % 19.26/5.09 | Equations (1170) can reduce 29 to: % 19.26/5.09 | (1540) ~ (all_0_137_137 = e13) % 19.26/5.09 | % 19.26/5.09 | Simplifying 1540 yields: % 19.26/5.09 | (1163) ~ (all_0_137_137 = e13) % 19.26/5.09 | % 19.26/5.09 | Equations (1170) can reduce 2 to: % 19.26/5.09 | (1542) ~ (all_0_139_139 = e13) % 19.26/5.09 | % 19.26/5.09 | Simplifying 1542 yields: % 19.26/5.09 | (1296) ~ (all_0_139_139 = e13) % 19.26/5.09 | % 19.26/5.09 | Equations (1170) can reduce 1224 to: % 19.26/5.09 | (197) ~ (e13 = e10) % 19.26/5.09 | % 19.26/5.09 | From (1170) and (143) follows: % 19.55/5.09 | (1545) op1(e13, e12) = all_0_111_111 % 19.55/5.09 | % 19.55/5.09 +-Applying beta-rule and splitting (127), into two cases. % 19.55/5.09 |-Branch one: % 19.55/5.09 | (1013) all_0_139_139 = e10 % 19.55/5.09 | % 19.55/5.09 | Equations (1013) can reduce 1296 to: % 19.55/5.09 | (1166) ~ (e13 = e10) % 19.55/5.09 | % 19.55/5.09 | Simplifying 1166 yields: % 19.55/5.09 | (197) ~ (e13 = e10) % 19.55/5.09 | % 19.55/5.09 | From (1013) and (30) follows: % 19.55/5.09 | (1549) op1(e10, e11) = all_0_112_112 % 19.55/5.09 | % 19.55/5.09 | Instantiating formula (312) with e13, e12, all_0_111_111, e10 and discharging atoms op1(e13, e12) = all_0_111_111, op1(e13, e12) = e10, yields: % 19.55/5.09 | (1550) all_0_111_111 = e10 % 19.55/5.09 | % 19.55/5.09 | Instantiating formula (312) with e10, e11, all_0_112_112, all_0_145_145 and discharging atoms op1(e10, e11) = all_0_112_112, op1(e10, e11) = all_0_145_145, yields: % 19.55/5.09 | (1551) all_0_112_112 = all_0_145_145 % 19.55/5.09 | % 19.55/5.09 +-Applying beta-rule and splitting (168), into two cases. % 19.55/5.09 |-Branch one: % 19.55/5.09 | (1552) all_0_111_111 = all_0_135_135 % 19.55/5.09 | % 19.55/5.09 | Combining equations (1552,1550) yields a new equation: % 19.55/5.09 | (1553) all_0_135_135 = e10 % 19.55/5.09 | % 19.55/5.09 | Simplifying 1553 yields: % 19.55/5.09 | (1030) all_0_135_135 = e10 % 19.55/5.09 | % 19.55/5.09 | Combining equations (1170,1030) yields a new equation: % 19.55/5.09 | (1390) e13 = e10 % 19.55/5.09 | % 19.55/5.09 | Simplifying 1390 yields: % 19.55/5.09 | (1171) e13 = e10 % 19.55/5.09 | % 19.55/5.09 | Equations (1171) can reduce 197 to: % 19.55/5.09 | (423) $false % 19.55/5.09 | % 19.55/5.09 |-The branch is then unsatisfiable % 19.55/5.09 |-Branch two: % 19.55/5.09 | (1558) ~ (all_0_111_111 = all_0_135_135) % 19.55/5.09 | (1559) all_0_112_112 = all_0_139_139 | all_0_113_113 = all_0_143_143 % 19.55/5.09 | % 19.55/5.09 | Equations (1550,1170) can reduce 1558 to: % 19.55/5.09 | (1166) ~ (e13 = e10) % 19.55/5.09 | % 19.55/5.09 | Simplifying 1166 yields: % 19.55/5.09 | (197) ~ (e13 = e10) % 19.55/5.09 | % 19.55/5.09 +-Applying beta-rule and splitting (1559), into two cases. % 19.55/5.09 |-Branch one: % 19.55/5.09 | (1562) all_0_112_112 = all_0_139_139 % 19.55/5.09 | % 19.55/5.09 | Combining equations (1562,1551) yields a new equation: % 19.55/5.09 | (1563) all_0_139_139 = all_0_145_145 % 19.55/5.09 | % 19.55/5.09 | Simplifying 1563 yields: % 19.55/5.09 | (1564) all_0_139_139 = all_0_145_145 % 19.55/5.09 | % 19.55/5.09 | Combining equations (1564,1013) yields a new equation: % 19.55/5.09 | (1565) all_0_145_145 = e10 % 19.55/5.09 | % 19.55/5.09 | Simplifying 1565 yields: % 19.55/5.09 | (1078) all_0_145_145 = e10 % 19.55/5.09 | % 19.55/5.09 | Equations (1078) can reduce 82 to: % 19.55/5.09 | (1238) ~ (all_0_137_137 = e10) % 19.55/5.09 | % 19.55/5.09 | Equations (1078) can reduce 305 to: % 19.55/5.09 | (1287) ~ (all_0_141_141 = e10) % 19.55/5.09 | % 19.55/5.09 | Equations (1078) can reduce 370 to: % 19.55/5.09 | (139) ~ (all_0_144_144 = e10) % 19.55/5.09 | % 19.55/5.09 | Equations (1078) can reduce 328 to: % 19.55/5.09 | (998) ~ (all_0_146_146 = e10) % 19.55/5.09 | % 19.55/5.09 | Simplifying 998 yields: % 19.55/5.09 | (999) ~ (all_0_146_146 = e10) % 19.55/5.09 | % 19.55/5.09 +-Applying beta-rule and splitting (56), into two cases. % 19.55/5.09 |-Branch one: % 19.55/5.09 | (1076) all_0_137_137 = e13 % 19.55/5.09 | % 19.55/5.09 | Equations (1076) can reduce 1163 to: % 19.55/5.09 | (423) $false % 19.55/5.09 | % 19.55/5.09 |-The branch is then unsatisfiable % 19.55/5.09 |-Branch two: % 19.55/5.09 | (1163) ~ (all_0_137_137 = e13) % 19.55/5.09 | (1164) all_0_141_141 = e13 | all_0_145_145 = e13 % 19.55/5.09 | % 19.55/5.09 +-Applying beta-rule and splitting (181), into two cases. % 19.55/5.09 |-Branch one: % 19.55/5.09 | (1030) all_0_135_135 = e10 % 19.55/5.09 | % 19.55/5.09 | Combining equations (1170,1030) yields a new equation: % 19.55/5.09 | (1390) e13 = e10 % 19.55/5.09 | % 19.55/5.09 | Simplifying 1390 yields: % 19.55/5.09 | (1171) e13 = e10 % 19.55/5.09 | % 19.55/5.09 | Equations (1171) can reduce 197 to: % 19.55/5.09 | (423) $false % 19.55/5.09 | % 19.55/5.09 |-The branch is then unsatisfiable % 19.55/5.09 |-Branch two: % 19.55/5.09 | (1224) ~ (all_0_135_135 = e10) % 19.55/5.09 | (1229) all_0_137_137 = e10 | all_0_138_138 = e10 % 19.55/5.09 | % 19.55/5.09 +-Applying beta-rule and splitting (224), into two cases. % 19.55/5.09 |-Branch one: % 19.55/5.09 | (1009) all_0_146_146 = e10 % 19.55/5.09 | % 19.55/5.09 | Equations (1009) can reduce 999 to: % 19.55/5.09 | (423) $false % 19.55/5.09 | % 19.55/5.09 |-The branch is then unsatisfiable % 19.55/5.09 |-Branch two: % 19.55/5.09 | (999) ~ (all_0_146_146 = e10) % 19.55/5.09 | (1012) all_0_146_146 = e12 | all_0_146_146 = e11 % 19.55/5.09 | % 19.55/5.09 +-Applying beta-rule and splitting (1229), into two cases. % 19.55/5.09 |-Branch one: % 19.55/5.09 | (1230) all_0_137_137 = e10 % 19.55/5.09 | % 19.55/5.09 | Equations (1230) can reduce 1238 to: % 19.55/5.09 | (423) $false % 19.55/5.09 | % 19.55/5.09 |-The branch is then unsatisfiable % 19.55/5.09 |-Branch two: % 19.55/5.09 | (1238) ~ (all_0_137_137 = e10) % 19.55/5.09 | (1239) all_0_138_138 = e10 % 19.55/5.09 | % 19.55/5.09 | Equations (1239) can reduce 50 to: % 19.55/5.09 | (998) ~ (all_0_146_146 = e10) % 19.55/5.09 | % 19.55/5.09 | Simplifying 998 yields: % 19.55/5.09 | (999) ~ (all_0_146_146 = e10) % 19.55/5.09 | % 19.55/5.09 | From (1239) and (38) follows: % 19.55/5.09 | (1592) op1(e10, e12) = all_0_120_120 % 19.55/5.09 | % 19.55/5.09 +-Applying beta-rule and splitting (268), into two cases. % 19.55/5.09 |-Branch one: % 19.55/5.09 | (1058) all_0_136_136 = e11 % 19.55/5.09 | % 19.55/5.09 | Combining equations (980,1058) yields a new equation: % 19.55/5.09 | (1018) e12 = e11 % 19.55/5.09 | % 19.55/5.09 | Simplifying 1018 yields: % 19.55/5.09 | (1019) e12 = e11 % 19.55/5.09 | % 19.55/5.09 | Equations (1019) can reduce 313 to: % 19.55/5.09 | (423) $false % 19.55/5.09 | % 19.55/5.09 |-The branch is then unsatisfiable % 19.55/5.09 |-Branch two: % 19.55/5.09 | (1197) ~ (all_0_136_136 = e11) % 19.55/5.09 | (1202) all_0_137_137 = e11 | all_0_138_138 = e11 % 19.55/5.09 | % 19.55/5.09 +-Applying beta-rule and splitting (1012), into two cases. % 19.55/5.09 |-Branch one: % 19.55/5.09 | (1599) all_0_146_146 = e12 % 19.55/5.09 | % 19.55/5.09 | Equations (1599) can reduce 966 to: % 19.55/5.09 | (423) $false % 19.55/5.09 | % 19.55/5.09 |-The branch is then unsatisfiable % 19.55/5.09 |-Branch two: % 19.55/5.09 | (966) ~ (all_0_146_146 = e12) % 19.55/5.09 | (1048) all_0_146_146 = e11 % 19.55/5.09 | % 19.55/5.09 | Equations (1048) can reduce 94 to: % 19.55/5.09 | (1049) ~ (all_0_144_144 = e11) % 19.55/5.09 | % 19.55/5.10 | Equations (1048) can reduce 999 to: % 19.55/5.10 | (297) ~ (e11 = e10) % 19.55/5.10 | % 19.55/5.10 | From (1048) and (24) follows: % 19.55/5.10 | (1605) op1(e11, e10) = all_0_122_122 % 19.55/5.10 | % 19.55/5.10 +-Applying beta-rule and splitting (1057), into two cases. % 19.55/5.10 |-Branch one: % 19.55/5.10 | (1069) all_0_144_144 = e11 % 19.55/5.10 | % 19.55/5.10 | Equations (1069) can reduce 1049 to: % 19.55/5.10 | (423) $false % 19.55/5.10 | % 19.55/5.10 |-The branch is then unsatisfiable % 19.55/5.10 |-Branch two: % 19.55/5.10 | (1049) ~ (all_0_144_144 = e11) % 19.55/5.10 | (1072) all_0_144_144 = e13 % 19.55/5.10 | % 19.55/5.10 | Equations (1072) can reduce 139 to: % 19.55/5.10 | (197) ~ (e13 = e10) % 19.55/5.10 | % 19.55/5.10 | From (1072) and (169) follows: % 19.55/5.10 | (1611) op1(e10, e12) = e13 % 19.55/5.10 | % 19.55/5.10 +-Applying beta-rule and splitting (1164), into two cases. % 19.55/5.10 |-Branch one: % 19.55/5.10 | (1180) all_0_141_141 = e13 % 19.55/5.10 | % 19.55/5.10 | Equations (1180) can reduce 161 to: % 19.55/5.10 | (1163) ~ (all_0_137_137 = e13) % 19.55/5.10 | % 19.55/5.10 | Equations (1180) can reduce 1287 to: % 19.55/5.10 | (197) ~ (e13 = e10) % 19.55/5.10 | % 19.55/5.10 +-Applying beta-rule and splitting (1202), into two cases. % 19.55/5.10 |-Branch one: % 19.55/5.10 | (1065) all_0_137_137 = e11 % 19.55/5.10 | % 19.55/5.10 | Combining equations (1065,1349) yields a new equation: % 19.55/5.10 | (1616) all_0_121_121 = e11 % 19.55/5.10 | % 19.55/5.10 | Equations (1065) can reduce 1163 to: % 19.55/5.10 | (1178) ~ (e13 = e11) % 19.55/5.10 | % 19.55/5.10 | Simplifying 1178 yields: % 19.55/5.10 | (349) ~ (e13 = e11) % 19.55/5.10 | % 19.55/5.10 | Equations (1065) can reduce 255 to: % 19.55/5.10 | (1051) ~ (e12 = e11) % 19.55/5.10 | % 19.55/5.10 | Simplifying 1051 yields: % 19.55/5.10 | (313) ~ (e12 = e11) % 19.55/5.10 | % 19.55/5.10 +-Applying beta-rule and splitting (72), into two cases. % 19.55/5.10 |-Branch one: % 19.55/5.10 | (1024) all_0_140_140 = e11 % 19.55/5.10 | % 19.55/5.10 | Equations (1024) can reduce 1295 to: % 19.55/5.10 | (1051) ~ (e12 = e11) % 19.55/5.10 | % 19.55/5.10 | Simplifying 1051 yields: % 19.55/5.10 | (313) ~ (e12 = e11) % 19.55/5.10 | % 19.55/5.10 | Instantiating formula (312) with e11, e10, all_0_122_122, e12 and discharging atoms op1(e11, e10) = all_0_122_122, op1(e11, e10) = e12, yields: % 19.55/5.10 | (1624) all_0_122_122 = e12 % 19.55/5.10 | % 19.55/5.10 | Instantiating formula (312) with e10, e12, e13, all_0_120_120 and discharging atoms op1(e10, e12) = all_0_120_120, op1(e10, e12) = e13, yields: % 19.55/5.10 | (1625) all_0_120_120 = e13 % 19.55/5.10 | % 19.55/5.10 +-Applying beta-rule and splitting (110), into two cases. % 19.55/5.10 |-Branch one: % 19.55/5.10 | (1626) all_0_120_120 = all_0_138_138 % 19.55/5.10 | % 19.55/5.10 | Combining equations (1625,1626) yields a new equation: % 19.55/5.10 | (1627) all_0_138_138 = e13 % 19.55/5.10 | % 19.55/5.10 | Combining equations (1627,1239) yields a new equation: % 19.55/5.10 | (1390) e13 = e10 % 19.55/5.10 | % 19.55/5.10 | Simplifying 1390 yields: % 19.55/5.10 | (1171) e13 = e10 % 19.55/5.10 | % 19.55/5.10 | Equations (1171) can reduce 197 to: % 19.55/5.10 | (423) $false % 19.55/5.10 | % 19.55/5.10 |-The branch is then unsatisfiable % 19.55/5.10 |-Branch two: % 19.55/5.10 | (1631) ~ (all_0_120_120 = all_0_138_138) % 19.55/5.10 | (1632) all_0_121_121 = all_0_142_142 | all_0_122_122 = all_0_146_146 % 19.55/5.10 | % 19.55/5.10 +-Applying beta-rule and splitting (1632), into two cases. % 19.55/5.10 |-Branch one: % 19.55/5.10 | (1633) all_0_121_121 = all_0_142_142 % 19.55/5.10 | % 19.55/5.10 | Combining equations (1633,1616) yields a new equation: % 19.55/5.10 | (1634) all_0_142_142 = e11 % 19.55/5.10 | % 19.55/5.10 | Simplifying 1634 yields: % 19.55/5.10 | (1043) all_0_142_142 = e11 % 19.55/5.10 | % 19.55/5.10 | Combining equations (1244,1043) yields a new equation: % 19.55/5.10 | (1018) e12 = e11 % 19.55/5.10 | % 19.55/5.10 | Simplifying 1018 yields: % 19.55/5.10 | (1019) e12 = e11 % 19.55/5.10 | % 19.55/5.10 | Equations (1019) can reduce 313 to: % 19.55/5.10 | (423) $false % 19.55/5.10 | % 19.55/5.10 |-The branch is then unsatisfiable % 19.55/5.10 |-Branch two: % 19.55/5.10 | (1639) ~ (all_0_121_121 = all_0_142_142) % 19.55/5.10 | (1640) all_0_122_122 = all_0_146_146 % 19.55/5.10 | % 19.55/5.10 | Combining equations (1640,1624) yields a new equation: % 19.55/5.10 | (1641) all_0_146_146 = e12 % 19.55/5.10 | % 19.55/5.10 | Simplifying 1641 yields: % 19.55/5.10 | (1599) all_0_146_146 = e12 % 19.55/5.10 | % 19.55/5.10 | Combining equations (1048,1599) yields a new equation: % 19.55/5.10 | (1019) e12 = e11 % 19.55/5.10 | % 19.55/5.10 | Equations (1019) can reduce 313 to: % 19.55/5.10 | (423) $false % 19.55/5.10 | % 19.55/5.10 |-The branch is then unsatisfiable % 19.55/5.10 |-Branch two: % 19.55/5.10 | (1028) ~ (all_0_140_140 = e11) % 19.55/5.10 | (1029) all_0_141_141 = e11 | all_0_142_142 = e11 % 19.55/5.10 | % 19.55/5.10 +-Applying beta-rule and splitting (1029), into two cases. % 19.55/5.10 |-Branch one: % 19.55/5.10 | (1082) all_0_141_141 = e11 % 19.55/5.10 | % 19.55/5.10 | Combining equations (1180,1082) yields a new equation: % 19.55/5.10 | (1216) e13 = e11 % 19.55/5.10 | % 19.55/5.10 | Simplifying 1216 yields: % 19.55/5.10 | (1181) e13 = e11 % 19.55/5.10 | % 19.55/5.10 | Equations (1181) can reduce 349 to: % 19.55/5.10 | (423) $false % 19.55/5.10 | % 19.55/5.10 |-The branch is then unsatisfiable % 19.55/5.10 |-Branch two: % 19.55/5.10 | (1151) ~ (all_0_141_141 = e11) % 19.55/5.10 | (1043) all_0_142_142 = e11 % 19.55/5.10 | % 19.55/5.10 | Combining equations (1244,1043) yields a new equation: % 19.55/5.10 | (1018) e12 = e11 % 19.55/5.10 | % 19.55/5.10 | Simplifying 1018 yields: % 19.55/5.10 | (1019) e12 = e11 % 19.55/5.10 | % 19.55/5.10 | Equations (1019) can reduce 313 to: % 19.55/5.10 | (423) $false % 19.55/5.10 | % 19.55/5.10 |-The branch is then unsatisfiable % 19.55/5.10 |-Branch two: % 19.55/5.10 | (1060) ~ (all_0_137_137 = e11) % 19.55/5.10 | (1017) all_0_138_138 = e11 % 19.55/5.10 | % 19.55/5.10 | Combining equations (1239,1017) yields a new equation: % 19.55/5.10 | (1045) e11 = e10 % 19.55/5.10 | % 19.55/5.10 | Equations (1045) can reduce 297 to: % 19.55/5.10 | (423) $false % 19.55/5.10 | % 19.55/5.10 |-The branch is then unsatisfiable % 19.55/5.10 |-Branch two: % 19.55/5.10 | (1041) ~ (all_0_141_141 = e13) % 19.55/5.10 | (1184) all_0_145_145 = e13 % 19.55/5.10 | % 19.55/5.10 | Combining equations (1078,1184) yields a new equation: % 19.55/5.10 | (1171) e13 = e10 % 19.55/5.10 | % 19.55/5.10 | Equations (1171) can reduce 197 to: % 19.55/5.10 | (423) $false % 19.55/5.10 | % 19.55/5.10 |-The branch is then unsatisfiable % 19.55/5.10 |-Branch two: % 19.55/5.10 | (1664) ~ (all_0_112_112 = all_0_139_139) % 19.55/5.10 | (1665) all_0_113_113 = all_0_143_143 % 19.55/5.10 | % 19.55/5.10 | Combining equations (970,1665) yields a new equation: % 19.55/5.10 | (1666) all_0_138_138 = all_0_143_143 % 19.55/5.10 | % 19.55/5.10 | Simplifying 1666 yields: % 19.55/5.10 | (1667) all_0_138_138 = all_0_143_143 % 19.55/5.10 | % 19.55/5.10 | Combining equations (959,1667) yields a new equation: % 19.55/5.10 | (973) all_0_138_138 = e12 % 19.55/5.10 | % 19.55/5.10 | Equations (973) can reduce 1324 to: % 19.55/5.10 | (423) $false % 19.55/5.10 | % 19.55/5.10 |-The branch is then unsatisfiable % 19.55/5.10 |-Branch two: % 19.55/5.10 | (997) ~ (all_0_139_139 = e10) % 19.55/5.10 | (1016) all_0_139_139 = e13 | all_0_139_139 = e12 % 19.55/5.10 | % 19.55/5.10 +-Applying beta-rule and splitting (301), into two cases. % 19.55/5.10 |-Branch one: % 19.55/5.10 | (1030) all_0_135_135 = e10 % 19.55/5.10 | % 19.55/5.10 | Combining equations (1170,1030) yields a new equation: % 19.55/5.10 | (1390) e13 = e10 % 19.55/5.10 | % 19.55/5.10 | Simplifying 1390 yields: % 19.55/5.10 | (1171) e13 = e10 % 19.55/5.10 | % 19.55/5.10 | Equations (1171) can reduce 197 to: % 19.55/5.10 | (423) $false % 19.55/5.10 | % 19.55/5.10 |-The branch is then unsatisfiable % 19.55/5.10 |-Branch two: % 19.55/5.10 | (1224) ~ (all_0_135_135 = e10) % 19.55/5.10 | (1225) all_0_139_139 = e10 | all_0_143_143 = e10 % 19.55/5.10 | % 19.55/5.10 | Equations (1170) can reduce 1224 to: % 19.55/5.10 | (197) ~ (e13 = e10) % 19.55/5.10 | % 19.55/5.10 +-Applying beta-rule and splitting (109), into two cases. % 19.55/5.10 |-Branch one: % 19.55/5.10 | (1013) all_0_139_139 = e10 % 19.55/5.10 | % 19.55/5.10 | Equations (1013) can reduce 997 to: % 19.55/5.10 | (423) $false % 19.55/5.10 | % 19.55/5.10 |-The branch is then unsatisfiable % 19.55/5.10 |-Branch two: % 19.55/5.10 | (997) ~ (all_0_139_139 = e10) % 19.55/5.10 | (1394) all_0_141_141 = e10 | all_0_142_142 = e10 % 19.55/5.10 | % 19.55/5.10 +-Applying beta-rule and splitting (1394), into two cases. % 19.55/5.10 |-Branch one: % 19.55/5.10 | (1395) all_0_141_141 = e10 % 19.55/5.10 | % 19.55/5.10 | Equations (1395) can reduce 161 to: % 19.55/5.10 | (1238) ~ (all_0_137_137 = e10) % 19.55/5.10 | % 19.55/5.10 | Equations (1395) can reduce 296 to: % 19.55/5.10 | (997) ~ (all_0_139_139 = e10) % 19.55/5.10 | % 19.55/5.10 +-Applying beta-rule and splitting (181), into two cases. % 19.55/5.10 |-Branch one: % 19.55/5.10 | (1030) all_0_135_135 = e10 % 19.55/5.10 | % 19.55/5.10 | Combining equations (1170,1030) yields a new equation: % 19.55/5.11 | (1390) e13 = e10 % 19.55/5.11 | % 19.55/5.11 | Simplifying 1390 yields: % 19.55/5.11 | (1171) e13 = e10 % 19.55/5.11 | % 19.55/5.11 | Equations (1171) can reduce 197 to: % 19.55/5.11 | (423) $false % 19.55/5.11 | % 19.55/5.11 |-The branch is then unsatisfiable % 19.55/5.11 |-Branch two: % 19.55/5.11 | (1224) ~ (all_0_135_135 = e10) % 19.55/5.11 | (1229) all_0_137_137 = e10 | all_0_138_138 = e10 % 19.55/5.11 | % 19.55/5.11 +-Applying beta-rule and splitting (1229), into two cases. % 19.55/5.11 |-Branch one: % 19.55/5.11 | (1230) all_0_137_137 = e10 % 19.55/5.11 | % 19.55/5.11 | Equations (1230) can reduce 1238 to: % 19.55/5.11 | (423) $false % 19.55/5.11 | % 19.55/5.11 |-The branch is then unsatisfiable % 19.55/5.11 |-Branch two: % 19.55/5.11 | (1238) ~ (all_0_137_137 = e10) % 19.55/5.11 | (1239) all_0_138_138 = e10 % 19.55/5.11 | % 19.55/5.11 | Equations (1239) can reduce 1324 to: % 19.55/5.11 | (1000) ~ (e12 = e10) % 19.55/5.11 | % 19.55/5.11 | Simplifying 1000 yields: % 19.55/5.11 | (165) ~ (e12 = e10) % 19.55/5.11 | % 19.55/5.11 +-Applying beta-rule and splitting (1225), into two cases. % 19.55/5.11 |-Branch one: % 19.55/5.11 | (1013) all_0_139_139 = e10 % 19.55/5.11 | % 19.55/5.11 | Equations (1013) can reduce 997 to: % 19.55/5.11 | (423) $false % 19.55/5.11 | % 19.55/5.11 |-The branch is then unsatisfiable % 19.55/5.11 |-Branch two: % 19.55/5.11 | (997) ~ (all_0_139_139 = e10) % 19.55/5.11 | (1003) all_0_143_143 = e10 % 19.55/5.11 | % 19.55/5.11 | Combining equations (1003,959) yields a new equation: % 19.55/5.11 | (1004) e12 = e10 % 19.55/5.11 | % 19.55/5.11 | Equations (1004) can reduce 165 to: % 19.55/5.11 | (423) $false % 19.55/5.11 | % 19.55/5.11 |-The branch is then unsatisfiable % 19.55/5.11 |-Branch two: % 19.55/5.11 | (1287) ~ (all_0_141_141 = e10) % 19.55/5.11 | (996) all_0_142_142 = e10 % 19.55/5.11 | % 19.55/5.11 | Combining equations (1244,996) yields a new equation: % 19.55/5.11 | (1256) e12 = e10 % 19.55/5.11 | % 19.55/5.11 | Simplifying 1256 yields: % 19.55/5.11 | (1004) e12 = e10 % 19.55/5.11 | % 19.55/5.11 | Equations (1004) can reduce 165 to: % 19.55/5.11 | (423) $false % 19.55/5.11 | % 19.55/5.11 |-The branch is then unsatisfiable % 19.55/5.11 |-Branch two: % 19.55/5.11 | (975) ~ (all_0_136_136 = e12) % 19.55/5.11 | (973) all_0_138_138 = e12 % 19.55/5.11 | % 19.55/5.11 | Equations (973) can reduce 1324 to: % 19.55/5.11 | (423) $false % 19.55/5.11 | % 19.55/5.11 |-The branch is then unsatisfiable % 19.55/5.11 |-Branch two: % 19.55/5.11 | (987) ~ (all_0_142_142 = e12) % 19.55/5.11 | (1599) all_0_146_146 = e12 % 19.55/5.11 | % 19.55/5.11 | Equations (1599) can reduce 966 to: % 19.55/5.11 | (423) $false % 19.55/5.11 | % 19.55/5.11 |-The branch is then unsatisfiable % 19.55/5.11 |-Branch two: % 19.55/5.11 | (1715) ~ (all_0_143_143 = e12) % 19.55/5.11 | (1716) all_0_144_144 = e12 | all_0_146_146 = e12 % 19.55/5.11 | % 19.55/5.11 +-Applying beta-rule and splitting (307), into two cases. % 19.55/5.11 |-Branch one: % 19.55/5.11 | (1003) all_0_143_143 = e10 % 19.55/5.11 | % 19.55/5.11 | Equations (1003) can reduce 187 to: % 19.55/5.11 | (1224) ~ (all_0_135_135 = e10) % 19.55/5.11 | % 19.55/5.11 | Equations (1003) can reduce 88 to: % 19.55/5.11 | (997) ~ (all_0_139_139 = e10) % 19.55/5.11 | % 19.55/5.11 | Equations (1003) can reduce 363 to: % 19.55/5.11 | (998) ~ (all_0_146_146 = e10) % 19.55/5.11 | % 19.55/5.11 | Simplifying 998 yields: % 19.55/5.11 | (999) ~ (all_0_146_146 = e10) % 19.55/5.11 | % 19.55/5.11 | From (1003) and (41) follows: % 19.55/5.11 | (1722) op1(e10, e10) = all_0_113_113 % 19.55/5.11 | % 19.55/5.11 | Instantiating formula (312) with e10, e10, all_0_113_113, all_0_146_146 and discharging atoms op1(e10, e10) = all_0_113_113, op1(e10, e10) = all_0_146_146, yields: % 19.55/5.11 | (1723) all_0_113_113 = all_0_146_146 % 19.55/5.11 | % 19.55/5.11 +-Applying beta-rule and splitting (376), into two cases. % 19.55/5.11 |-Branch one: % 19.55/5.11 | (1266) all_0_135_135 = e12 % 19.55/5.11 | % 19.55/5.11 | Equations (1266) can reduce 279 to: % 19.55/5.11 | (1725) ~ (all_0_136_136 = e12) % 19.55/5.11 | % 19.55/5.11 | Simplifying 1725 yields: % 19.55/5.11 | (975) ~ (all_0_136_136 = e12) % 19.55/5.11 | % 19.55/5.11 | Equations (1266) can reduce 2 to: % 19.55/5.11 | (1727) ~ (all_0_139_139 = e12) % 19.55/5.11 | % 19.55/5.11 | Simplifying 1727 yields: % 19.55/5.11 | (985) ~ (all_0_139_139 = e12) % 19.55/5.11 | % 19.55/5.11 | From (1266) and (143) follows: % 19.55/5.11 | (1729) op1(e12, e12) = all_0_111_111 % 19.55/5.11 | % 19.55/5.11 +-Applying beta-rule and splitting (73), into two cases. % 19.55/5.11 |-Branch one: % 19.55/5.11 | (1170) all_0_135_135 = e13 % 19.55/5.11 | % 19.55/5.11 | Combining equations (1266,1170) yields a new equation: % 19.55/5.11 | (1382) e13 = e12 % 19.55/5.11 | % 19.55/5.11 | Equations (1382) can reduce 292 to: % 19.55/5.11 | (423) $false % 19.55/5.11 | % 19.55/5.11 |-The branch is then unsatisfiable % 19.55/5.11 |-Branch two: % 19.55/5.11 | (1173) ~ (all_0_135_135 = e13) % 19.55/5.11 | (1734) all_0_139_139 = e13 | all_0_143_143 = e13 % 19.55/5.11 | % 19.55/5.11 +-Applying beta-rule and splitting (1734), into two cases. % 19.55/5.11 |-Branch one: % 19.55/5.11 | (1039) all_0_139_139 = e13 % 19.55/5.11 | % 19.55/5.11 | Equations (1039) can reduce 985 to: % 19.55/5.11 | (292) ~ (e13 = e12) % 19.55/5.11 | % 19.55/5.11 | From (1039) and (30) follows: % 19.55/5.11 | (1737) op1(e13, e11) = all_0_112_112 % 19.55/5.11 | % 19.55/5.11 | Instantiating formula (312) with e13, e11, all_0_112_112, e12 and discharging atoms op1(e13, e11) = all_0_112_112, op1(e13, e11) = e12, yields: % 19.55/5.11 | (1738) all_0_112_112 = e12 % 19.55/5.11 | % 19.55/5.11 | Instantiating formula (312) with e12, e12, all_0_111_111, all_0_136_136 and discharging atoms op1(e12, e12) = all_0_111_111, op1(e12, e12) = all_0_136_136, yields: % 19.55/5.11 | (1739) all_0_111_111 = all_0_136_136 % 19.55/5.11 | % 19.55/5.11 +-Applying beta-rule and splitting (168), into two cases. % 19.55/5.11 |-Branch one: % 19.55/5.11 | (1552) all_0_111_111 = all_0_135_135 % 19.55/5.11 | % 19.55/5.11 | Combining equations (1552,1739) yields a new equation: % 19.55/5.11 | (1741) all_0_135_135 = all_0_136_136 % 19.55/5.11 | % 19.55/5.11 | Simplifying 1741 yields: % 19.55/5.11 | (1742) all_0_135_135 = all_0_136_136 % 19.55/5.11 | % 19.55/5.11 | Combining equations (1742,1266) yields a new equation: % 19.55/5.11 | (1743) all_0_136_136 = e12 % 19.55/5.11 | % 19.55/5.11 | Simplifying 1743 yields: % 19.55/5.11 | (980) all_0_136_136 = e12 % 19.55/5.11 | % 19.55/5.11 | Equations (980) can reduce 975 to: % 19.55/5.11 | (423) $false % 19.55/5.11 | % 19.55/5.11 |-The branch is then unsatisfiable % 19.55/5.11 |-Branch two: % 19.55/5.11 | (1558) ~ (all_0_111_111 = all_0_135_135) % 19.55/5.11 | (1559) all_0_112_112 = all_0_139_139 | all_0_113_113 = all_0_143_143 % 19.55/5.11 | % 19.55/5.11 +-Applying beta-rule and splitting (1559), into two cases. % 19.55/5.11 |-Branch one: % 19.55/5.11 | (1562) all_0_112_112 = all_0_139_139 % 19.55/5.11 | % 19.55/5.11 | Combining equations (1562,1738) yields a new equation: % 19.55/5.11 | (1749) all_0_139_139 = e12 % 19.55/5.11 | % 19.55/5.11 | Simplifying 1749 yields: % 19.55/5.11 | (1036) all_0_139_139 = e12 % 19.55/5.11 | % 19.55/5.11 | Combining equations (1036,1039) yields a new equation: % 19.55/5.11 | (1382) e13 = e12 % 19.55/5.11 | % 19.55/5.11 | Equations (1382) can reduce 292 to: % 19.55/5.11 | (423) $false % 19.55/5.11 | % 19.55/5.11 |-The branch is then unsatisfiable % 19.55/5.11 |-Branch two: % 19.55/5.11 | (1664) ~ (all_0_112_112 = all_0_139_139) % 19.55/5.11 | (1665) all_0_113_113 = all_0_143_143 % 19.55/5.11 | % 19.55/5.11 | Combining equations (1723,1665) yields a new equation: % 19.55/5.11 | (1755) all_0_143_143 = all_0_146_146 % 19.55/5.11 | % 19.55/5.11 | Combining equations (1003,1755) yields a new equation: % 19.55/5.11 | (1009) all_0_146_146 = e10 % 19.55/5.11 | % 19.55/5.11 | Equations (1009) can reduce 999 to: % 19.55/5.11 | (423) $false % 19.55/5.11 | % 19.55/5.11 |-The branch is then unsatisfiable % 19.55/5.11 |-Branch two: % 19.55/5.11 | (1296) ~ (all_0_139_139 = e13) % 19.55/5.11 | (1759) all_0_143_143 = e13 % 19.55/5.11 | % 19.55/5.11 | Combining equations (1759,1003) yields a new equation: % 19.55/5.11 | (1390) e13 = e10 % 19.55/5.11 | % 19.55/5.11 | Simplifying 1390 yields: % 19.55/5.11 | (1171) e13 = e10 % 19.55/5.11 | % 19.55/5.11 | Equations (1171) can reduce 197 to: % 19.55/5.11 | (423) $false % 19.55/5.11 | % 19.55/5.11 |-The branch is then unsatisfiable % 19.55/5.11 |-Branch two: % 19.55/5.11 | (960) ~ (all_0_135_135 = e12) % 19.55/5.11 | (1764) all_0_139_139 = e12 | all_0_143_143 = e12 % 19.55/5.11 | % 19.55/5.11 +-Applying beta-rule and splitting (309), into two cases. % 19.55/5.11 |-Branch one: % 19.55/5.11 | (1030) all_0_135_135 = e10 % 19.55/5.11 | % 19.55/5.11 | Equations (1030) can reduce 1224 to: % 19.55/5.11 | (423) $false % 19.55/5.11 | % 19.55/5.11 |-The branch is then unsatisfiable % 19.55/5.11 |-Branch two: % 19.55/5.11 | (1224) ~ (all_0_135_135 = e10) % 19.55/5.11 | (1535) all_0_135_135 = e13 | all_0_135_135 = e12 % 19.55/5.11 | % 19.55/5.11 +-Applying beta-rule and splitting (1535), into two cases. % 19.55/5.11 |-Branch one: % 19.55/5.11 | (1266) all_0_135_135 = e12 % 19.55/5.11 | % 19.55/5.11 | Equations (1266) can reduce 960 to: % 19.55/5.11 | (423) $false % 19.55/5.11 | % 19.55/5.11 |-The branch is then unsatisfiable % 19.55/5.11 |-Branch two: % 19.55/5.11 | (960) ~ (all_0_135_135 = e12) % 19.55/5.11 | (1170) all_0_135_135 = e13 % 19.55/5.11 | % 19.55/5.11 | Equations (1170) can reduce 2 to: % 19.55/5.11 | (1542) ~ (all_0_139_139 = e13) % 19.55/5.11 | % 19.55/5.11 | Simplifying 1542 yields: % 19.55/5.12 | (1296) ~ (all_0_139_139 = e13) % 19.55/5.12 | % 19.55/5.12 | Equations (1170) can reduce 1224 to: % 19.55/5.12 | (197) ~ (e13 = e10) % 19.55/5.12 | % 19.55/5.12 | From (1170) and (143) follows: % 19.55/5.12 | (1545) op1(e13, e12) = all_0_111_111 % 19.55/5.12 | % 19.55/5.12 +-Applying beta-rule and splitting (127), into two cases. % 19.55/5.12 |-Branch one: % 19.55/5.12 | (1013) all_0_139_139 = e10 % 19.55/5.12 | % 19.55/5.12 | Equations (1013) can reduce 997 to: % 19.55/5.12 | (423) $false % 19.55/5.12 | % 19.55/5.12 |-The branch is then unsatisfiable % 19.55/5.12 |-Branch two: % 19.55/5.12 | (997) ~ (all_0_139_139 = e10) % 19.55/5.12 | (1016) all_0_139_139 = e13 | all_0_139_139 = e12 % 19.55/5.12 | % 19.55/5.12 +-Applying beta-rule and splitting (1016), into two cases. % 19.55/5.12 |-Branch one: % 19.55/5.12 | (1036) all_0_139_139 = e12 % 19.55/5.12 | % 19.55/5.12 | From (1036) and (30) follows: % 19.55/5.12 | (1782) op1(e12, e11) = all_0_112_112 % 19.55/5.12 | % 19.55/5.12 | Instantiating formula (312) with e13, e12, all_0_111_111, e10 and discharging atoms op1(e13, e12) = all_0_111_111, op1(e13, e12) = e10, yields: % 19.55/5.12 | (1550) all_0_111_111 = e10 % 19.55/5.12 | % 19.55/5.12 | Instantiating formula (312) with e12, e11, all_0_112_112, all_0_137_137 and discharging atoms op1(e12, e11) = all_0_112_112, op1(e12, e11) = all_0_137_137, yields: % 19.55/5.12 | (1784) all_0_112_112 = all_0_137_137 % 19.55/5.12 | % 19.55/5.12 +-Applying beta-rule and splitting (168), into two cases. % 19.55/5.12 |-Branch one: % 19.55/5.12 | (1552) all_0_111_111 = all_0_135_135 % 19.55/5.12 | % 19.55/5.12 | Combining equations (1552,1550) yields a new equation: % 19.55/5.12 | (1553) all_0_135_135 = e10 % 19.55/5.12 | % 19.55/5.12 | Simplifying 1553 yields: % 19.55/5.12 | (1030) all_0_135_135 = e10 % 19.55/5.12 | % 19.55/5.12 | Combining equations (1030,1170) yields a new equation: % 19.55/5.12 | (1171) e13 = e10 % 19.55/5.12 | % 19.55/5.12 | Equations (1171) can reduce 197 to: % 19.55/5.12 | (423) $false % 19.55/5.12 | % 19.55/5.12 |-The branch is then unsatisfiable % 19.55/5.12 |-Branch two: % 19.55/5.12 | (1558) ~ (all_0_111_111 = all_0_135_135) % 19.55/5.12 | (1559) all_0_112_112 = all_0_139_139 | all_0_113_113 = all_0_143_143 % 19.55/5.12 | % 19.55/5.12 +-Applying beta-rule and splitting (1559), into two cases. % 19.55/5.12 |-Branch one: % 19.55/5.12 | (1562) all_0_112_112 = all_0_139_139 % 19.55/5.12 | % 19.55/5.12 | Combining equations (1562,1784) yields a new equation: % 19.55/5.12 | (1793) all_0_137_137 = all_0_139_139 % 19.55/5.12 | % 19.55/5.12 | Combining equations (1036,1793) yields a new equation: % 19.55/5.12 | (1794) all_0_137_137 = e12 % 19.55/5.12 | % 19.55/5.12 | Equations (1794) can reduce 255 to: % 19.55/5.12 | (423) $false % 19.55/5.12 | % 19.55/5.12 |-The branch is then unsatisfiable % 19.55/5.12 |-Branch two: % 19.55/5.12 | (1664) ~ (all_0_112_112 = all_0_139_139) % 19.55/5.12 | (1665) all_0_113_113 = all_0_143_143 % 19.55/5.12 | % 19.55/5.12 | Combining equations (1723,1665) yields a new equation: % 19.55/5.12 | (1755) all_0_143_143 = all_0_146_146 % 19.55/5.12 | % 19.55/5.12 | Combining equations (1003,1755) yields a new equation: % 19.55/5.12 | (1009) all_0_146_146 = e10 % 19.55/5.12 | % 19.55/5.12 | Equations (1009) can reduce 999 to: % 19.55/5.12 | (423) $false % 19.55/5.12 | % 19.55/5.12 |-The branch is then unsatisfiable % 19.55/5.12 |-Branch two: % 19.55/5.12 | (985) ~ (all_0_139_139 = e12) % 19.55/5.12 | (1039) all_0_139_139 = e13 % 19.55/5.12 | % 19.55/5.12 | Equations (1039) can reduce 1296 to: % 19.55/5.12 | (423) $false % 19.55/5.12 | % 19.55/5.12 |-The branch is then unsatisfiable % 19.55/5.12 |-Branch two: % 19.55/5.12 | (1006) ~ (all_0_143_143 = e10) % 19.55/5.12 | (1805) all_0_143_143 = e13 | all_0_143_143 = e12 % 19.55/5.12 | % 19.55/5.12 +-Applying beta-rule and splitting (1805), into two cases. % 19.55/5.12 |-Branch one: % 19.55/5.12 | (959) all_0_143_143 = e12 % 19.55/5.12 | % 19.55/5.12 | Equations (959) can reduce 1715 to: % 19.55/5.12 | (423) $false % 19.55/5.12 | % 19.55/5.12 |-The branch is then unsatisfiable % 19.55/5.12 |-Branch two: % 19.55/5.12 | (1715) ~ (all_0_143_143 = e12) % 19.55/5.12 | (1759) all_0_143_143 = e13 % 19.55/5.12 | % 19.55/5.12 | Equations (1759) can reduce 187 to: % 19.55/5.12 | (1173) ~ (all_0_135_135 = e13) % 19.55/5.12 | % 19.55/5.12 | Equations (1759) can reduce 88 to: % 19.55/5.12 | (1296) ~ (all_0_139_139 = e13) % 19.55/5.12 | % 19.55/5.12 | Equations (1759) can reduce 360 to: % 19.55/5.12 | (1812) ~ (all_0_144_144 = e13) % 19.55/5.12 | % 19.55/5.12 | Simplifying 1812 yields: % 19.55/5.12 | (1813) ~ (all_0_144_144 = e13) % 19.55/5.12 | % 19.55/5.12 | Equations (1759) can reduce 243 to: % 19.55/5.12 | (1073) ~ (all_0_145_145 = e13) % 19.55/5.12 | % 19.55/5.12 | Simplifying 1073 yields: % 19.55/5.12 | (1074) ~ (all_0_145_145 = e13) % 19.55/5.12 | % 19.55/5.12 | Equations (1759) can reduce 215 to: % 19.55/5.12 | (349) ~ (e13 = e11) % 19.55/5.12 | % 19.55/5.12 | Equations (1759) can reduce 1006 to: % 19.55/5.12 | (197) ~ (e13 = e10) % 19.55/5.12 | % 19.55/5.12 +-Applying beta-rule and splitting (301), into two cases. % 19.55/5.12 |-Branch one: % 19.55/5.12 | (1030) all_0_135_135 = e10 % 19.55/5.12 | % 19.55/5.12 | Equations (1030) can reduce 279 to: % 19.55/5.12 | (1031) ~ (all_0_136_136 = e10) % 19.55/5.12 | % 19.55/5.12 | Simplifying 1031 yields: % 19.55/5.12 | (32) ~ (all_0_136_136 = e10) % 19.55/5.12 | % 19.55/5.12 | Equations (1030) can reduce 29 to: % 19.55/5.12 | (1355) ~ (all_0_137_137 = e10) % 19.55/5.12 | % 19.55/5.12 | Simplifying 1355 yields: % 19.55/5.12 | (1238) ~ (all_0_137_137 = e10) % 19.55/5.12 | % 19.55/5.12 | Equations (1030) can reduce 262 to: % 19.55/5.12 | (1823) ~ (all_0_138_138 = e10) % 19.55/5.12 | % 19.55/5.12 | Simplifying 1823 yields: % 19.55/5.12 | (1277) ~ (all_0_138_138 = e10) % 19.55/5.12 | % 19.55/5.12 | Equations (1030) can reduce 2 to: % 19.55/5.12 | (1357) ~ (all_0_139_139 = e10) % 19.55/5.12 | % 19.55/5.12 | Simplifying 1357 yields: % 19.55/5.12 | (997) ~ (all_0_139_139 = e10) % 19.55/5.12 | % 19.55/5.12 | Equations (1030) can reduce 1173 to: % 19.55/5.12 | (1166) ~ (e13 = e10) % 19.55/5.12 | % 19.55/5.12 | Simplifying 1166 yields: % 19.55/5.12 | (197) ~ (e13 = e10) % 19.55/5.12 | % 19.55/5.12 +-Applying beta-rule and splitting (127), into two cases. % 19.55/5.12 |-Branch one: % 19.55/5.12 | (1013) all_0_139_139 = e10 % 19.55/5.12 | % 19.55/5.12 | Equations (1013) can reduce 997 to: % 19.55/5.12 | (423) $false % 19.55/5.12 | % 19.55/5.12 |-The branch is then unsatisfiable % 19.55/5.12 |-Branch two: % 19.55/5.12 | (997) ~ (all_0_139_139 = e10) % 19.55/5.12 | (1016) all_0_139_139 = e13 | all_0_139_139 = e12 % 19.55/5.12 | % 19.55/5.12 +-Applying beta-rule and splitting (1016), into two cases. % 19.55/5.12 |-Branch one: % 19.55/5.12 | (1036) all_0_139_139 = e12 % 19.55/5.12 | % 19.55/5.12 | Equations (1036) can reduce 166 to: % 19.55/5.12 | (1344) ~ (all_0_140_140 = e12) % 19.55/5.12 | % 19.55/5.12 | Simplifying 1344 yields: % 19.55/5.12 | (1295) ~ (all_0_140_140 = e12) % 19.55/5.12 | % 19.55/5.12 | Equations (1036) can reduce 320 to: % 19.55/5.12 | (986) ~ (all_0_142_142 = e12) % 19.55/5.12 | % 19.55/5.12 | Simplifying 986 yields: % 19.55/5.12 | (987) ~ (all_0_142_142 = e12) % 19.55/5.12 | % 19.55/5.12 | Equations (1036) can reduce 152 to: % 19.55/5.12 | (313) ~ (e12 = e11) % 19.55/5.12 | % 19.55/5.12 +-Applying beta-rule and splitting (118), into two cases. % 19.55/5.12 |-Branch one: % 19.55/5.12 | (973) all_0_138_138 = e12 % 19.55/5.12 | % 19.55/5.12 | Equations (973) can reduce 316 to: % 19.55/5.12 | (986) ~ (all_0_142_142 = e12) % 19.55/5.12 | % 19.55/5.12 | Simplifying 986 yields: % 19.55/5.12 | (987) ~ (all_0_142_142 = e12) % 19.55/5.12 | % 19.55/5.12 | Equations (973) can reduce 50 to: % 19.55/5.12 | (965) ~ (all_0_146_146 = e12) % 19.55/5.12 | % 19.55/5.12 | Simplifying 965 yields: % 19.55/5.12 | (966) ~ (all_0_146_146 = e12) % 19.55/5.12 | % 19.55/5.12 +-Applying beta-rule and splitting (1716), into two cases. % 19.55/5.12 |-Branch one: % 19.55/5.12 | (1054) all_0_144_144 = e12 % 19.55/5.12 | % 19.55/5.12 | Equations (1054) can reduce 370 to: % 19.55/5.12 | (963) ~ (all_0_145_145 = e12) % 19.55/5.12 | % 19.55/5.12 | Simplifying 963 yields: % 19.55/5.12 | (298) ~ (all_0_145_145 = e12) % 19.55/5.12 | % 19.55/5.12 | Equations (1054) can reduce 94 to: % 19.55/5.12 | (965) ~ (all_0_146_146 = e12) % 19.55/5.12 | % 19.55/5.12 | Simplifying 965 yields: % 19.55/5.12 | (966) ~ (all_0_146_146 = e12) % 19.55/5.12 | % 19.55/5.12 | Equations (1054) can reduce 1813 to: % 19.55/5.12 | (1849) ~ (e13 = e12) % 19.55/5.12 | % 19.55/5.12 | Simplifying 1849 yields: % 19.55/5.12 | (292) ~ (e13 = e12) % 19.55/5.12 | % 19.55/5.12 | Equations (1054) can reduce 139 to: % 19.55/5.12 | (165) ~ (e12 = e10) % 19.55/5.12 | % 19.55/5.12 +-Applying beta-rule and splitting (268), into two cases. % 19.55/5.12 |-Branch one: % 19.55/5.12 | (1058) all_0_136_136 = e11 % 19.55/5.12 | % 19.55/5.12 | Equations (1058) can reduce 220 to: % 19.55/5.12 | (1059) ~ (all_0_137_137 = e11) % 19.55/5.12 | % 19.55/5.12 | Simplifying 1059 yields: % 19.55/5.12 | (1060) ~ (all_0_137_137 = e11) % 19.55/5.12 | % 19.55/5.12 | Equations (1058) can reduce 32 to: % 19.55/5.12 | (297) ~ (e11 = e10) % 19.55/5.12 | % 19.55/5.12 +-Applying beta-rule and splitting (135), into two cases. % 19.55/5.12 |-Branch one: % 19.55/5.12 | (1381) all_0_136_136 = e13 % 19.55/5.12 | % 19.55/5.12 | Combining equations (1058,1381) yields a new equation: % 19.55/5.12 | (1181) e13 = e11 % 19.55/5.12 | % 19.55/5.12 | Equations (1181) can reduce 349 to: % 19.55/5.12 | (423) $false % 19.55/5.12 | % 19.55/5.12 |-The branch is then unsatisfiable % 19.55/5.12 |-Branch two: % 19.55/5.12 | (1267) ~ (all_0_136_136 = e13) % 19.55/5.12 | (1860) all_0_140_140 = e13 | all_0_144_144 = e13 % 19.55/5.12 | % 19.55/5.12 +-Applying beta-rule and splitting (25), into two cases. % 19.55/5.12 |-Branch one: % 19.55/5.12 | (1230) all_0_137_137 = e10 % 19.55/5.12 | % 19.55/5.12 | Equations (1230) can reduce 1238 to: % 19.55/5.12 | (423) $false % 19.55/5.12 | % 19.55/5.12 |-The branch is then unsatisfiable % 19.55/5.12 |-Branch two: % 19.55/5.12 | (1238) ~ (all_0_137_137 = e10) % 19.55/5.12 | (1864) all_0_137_137 = e13 | all_0_137_137 = e11 % 19.55/5.12 | % 19.55/5.12 +-Applying beta-rule and splitting (335), into two cases. % 19.55/5.12 |-Branch one: % 19.55/5.12 | (1003) all_0_143_143 = e10 % 19.55/5.12 | % 19.55/5.12 | Combining equations (1759,1003) yields a new equation: % 19.55/5.12 | (1390) e13 = e10 % 19.55/5.12 | % 19.55/5.12 | Simplifying 1390 yields: % 19.55/5.12 | (1171) e13 = e10 % 19.55/5.12 | % 19.55/5.13 | Equations (1171) can reduce 197 to: % 19.55/5.13 | (423) $false % 19.55/5.13 | % 19.55/5.13 |-The branch is then unsatisfiable % 19.55/5.13 |-Branch two: % 19.55/5.13 | (1006) ~ (all_0_143_143 = e10) % 19.55/5.13 | (1260) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11)) | ( ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 19.55/5.13 | % 19.55/5.13 +-Applying beta-rule and splitting (1860), into two cases. % 19.55/5.13 |-Branch one: % 19.55/5.13 | (1871) all_0_140_140 = e13 % 19.55/5.13 | % 19.55/5.13 +-Applying beta-rule and splitting (1864), into two cases. % 19.55/5.13 |-Branch one: % 19.55/5.13 | (1065) all_0_137_137 = e11 % 19.55/5.13 | % 19.55/5.13 | Equations (1065) can reduce 1060 to: % 19.55/5.13 | (423) $false % 19.55/5.13 | % 19.55/5.13 |-The branch is then unsatisfiable % 19.55/5.13 |-Branch two: % 19.55/5.13 | (1060) ~ (all_0_137_137 = e11) % 19.55/5.13 | (1076) all_0_137_137 = e13 % 19.55/5.13 | % 19.55/5.13 | Equations (1076) can reduce 1060 to: % 19.55/5.13 | (349) ~ (e13 = e11) % 19.55/5.13 | % 19.55/5.13 +-Applying beta-rule and splitting (1260), into two cases. % 19.55/5.13 |-Branch one: % 19.55/5.13 | (1261) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11)) % 19.55/5.13 | % 19.55/5.13 +-Applying beta-rule and splitting (1261), into two cases. % 19.55/5.13 |-Branch one: % 19.55/5.13 | (1262) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 19.55/5.13 | % 19.55/5.13 +-Applying beta-rule and splitting (1262), into two cases. % 19.55/5.13 |-Branch one: % 19.55/5.13 | (1263) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) % 19.55/5.13 | % 19.55/5.13 +-Applying beta-rule and splitting (1263), into two cases. % 19.55/5.13 |-Branch one: % 19.55/5.13 | (1264) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 19.55/5.13 | % 19.55/5.13 +-Applying beta-rule and splitting (1264), into two cases. % 19.55/5.13 |-Branch one: % 19.55/5.13 | (1265) all_0_135_135 = e12 & ~ (all_0_136_136 = e13) % 19.55/5.13 | % 19.55/5.13 | Applying alpha-rule on (1265) yields: % 19.55/5.13 | (1266) all_0_135_135 = e12 % 19.55/5.13 | (1267) ~ (all_0_136_136 = e13) % 19.55/5.13 | % 19.55/5.13 | Combining equations (1266,1030) yields a new equation: % 19.55/5.13 | (1256) e12 = e10 % 19.55/5.13 | % 19.55/5.13 | Simplifying 1256 yields: % 19.55/5.13 | (1004) e12 = e10 % 19.55/5.13 | % 19.55/5.13 | Equations (1004) can reduce 165 to: % 19.55/5.13 | (423) $false % 19.55/5.13 | % 19.55/5.13 |-The branch is then unsatisfiable % 19.55/5.13 |-Branch two: % 19.55/5.13 | (1269) all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 19.55/5.13 | % 19.55/5.13 | Applying alpha-rule on (1269) yields: % 19.55/5.13 | (1050) ~ (all_0_145_145 = e11) % 19.55/5.13 | (999) ~ (all_0_146_146 = e10) % 19.55/5.13 | (973) all_0_138_138 = e12 % 19.55/5.13 | (962) ~ (all_0_144_144 = e12) % 19.55/5.13 | (1274) ~ (all_0_143_143 = e13) % 19.55/5.13 | % 19.55/5.13 | Equations (1054) can reduce 962 to: % 19.55/5.13 | (423) $false % 19.55/5.13 | % 19.55/5.13 |-The branch is then unsatisfiable % 19.55/5.13 |-Branch two: % 19.55/5.13 | (1276) all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10) % 19.55/5.13 | % 19.55/5.13 | Applying alpha-rule on (1276) yields: % 19.55/5.13 | (1277) ~ (all_0_138_138 = e10) % 19.55/5.13 | (1060) ~ (all_0_137_137 = e11) % 19.55/5.13 | (1024) all_0_140_140 = e11 % 19.55/5.13 | (1173) ~ (all_0_135_135 = e13) % 19.55/5.13 | (975) ~ (all_0_136_136 = e12) % 19.55/5.13 | % 19.55/5.13 | Combining equations (1024,1871) yields a new equation: % 19.55/5.13 | (1181) e13 = e11 % 19.55/5.13 | % 19.55/5.13 | Equations (1181) can reduce 349 to: % 19.55/5.13 | (423) $false % 19.55/5.13 | % 19.55/5.13 |-The branch is then unsatisfiable % 19.55/5.13 |-Branch two: % 19.55/5.13 | (1284) all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 19.55/5.13 | % 19.55/5.13 | Applying alpha-rule on (1284) yields: % 19.55/5.13 | (1050) ~ (all_0_145_145 = e11) % 19.55/5.13 | (999) ~ (all_0_146_146 = e10) % 19.55/5.13 | (1287) ~ (all_0_141_141 = e10) % 19.55/5.13 | (962) ~ (all_0_144_144 = e12) % 19.55/5.13 | (1274) ~ (all_0_143_143 = e13) % 19.55/5.13 | (1043) all_0_142_142 = e11 % 19.55/5.13 | % 19.55/5.13 | Equations (1054) can reduce 962 to: % 19.55/5.13 | (423) $false % 19.55/5.13 | % 19.55/5.13 |-The branch is then unsatisfiable % 19.55/5.13 |-Branch two: % 19.55/5.13 | (1292) all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11) % 19.55/5.13 | % 19.55/5.13 | Applying alpha-rule on (1292) yields: % 19.55/5.13 | (1242) ~ (all_0_142_142 = e10) % 19.55/5.13 | (1294) ~ (all_0_146_146 = e11) % 19.55/5.13 | (1295) ~ (all_0_140_140 = e12) % 19.55/5.13 | (1296) ~ (all_0_139_139 = e13) % 19.55/5.13 | (1078) all_0_145_145 = e10 % 19.55/5.13 | (1151) ~ (all_0_141_141 = e11) % 19.55/5.13 | % 19.55/5.13 +-Applying beta-rule and splitting (113), into two cases. % 19.55/5.13 |-Branch one: % 19.55/5.13 | (1065) all_0_137_137 = e11 % 19.55/5.13 | % 19.55/5.13 | Combining equations (1065,1076) yields a new equation: % 19.55/5.13 | (1181) e13 = e11 % 19.55/5.13 | % 19.55/5.13 | Equations (1181) can reduce 349 to: % 19.55/5.13 | (423) $false % 19.55/5.13 | % 19.55/5.13 |-The branch is then unsatisfiable % 19.55/5.13 |-Branch two: % 19.55/5.13 | (1060) ~ (all_0_137_137 = e11) % 19.55/5.13 | (1068) all_0_141_141 = e11 | all_0_145_145 = e11 % 19.55/5.13 | % 19.55/5.13 +-Applying beta-rule and splitting (1068), into two cases. % 19.55/5.13 |-Branch one: % 19.55/5.13 | (1082) all_0_141_141 = e11 % 19.55/5.13 | % 19.55/5.13 | Equations (1082) can reduce 1151 to: % 19.55/5.13 | (423) $false % 19.55/5.13 | % 19.55/5.13 |-The branch is then unsatisfiable % 19.55/5.13 |-Branch two: % 19.55/5.13 | (1151) ~ (all_0_141_141 = e11) % 19.55/5.13 | (1188) all_0_145_145 = e11 % 19.55/5.13 | % 19.55/5.13 | Combining equations (1188,1078) yields a new equation: % 19.55/5.13 | (1044) e11 = e10 % 19.55/5.13 | % 19.55/5.13 | Simplifying 1044 yields: % 19.55/5.13 | (1045) e11 = e10 % 19.55/5.13 | % 19.55/5.13 | Equations (1045) can reduce 297 to: % 19.55/5.13 | (423) $false % 19.55/5.13 | % 19.55/5.13 |-The branch is then unsatisfiable % 19.55/5.13 |-Branch two: % 19.55/5.13 | (1300) ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 19.55/5.13 | % 19.55/5.13 | Applying alpha-rule on (1300) yields: % 19.55/5.13 | (1274) ~ (all_0_143_143 = e13) % 19.55/5.13 | (962) ~ (all_0_144_144 = e12) % 19.55/5.13 | (1050) ~ (all_0_145_145 = e11) % 19.55/5.13 | (999) ~ (all_0_146_146 = e10) % 19.55/5.13 | % 19.55/5.13 | Equations (1054) can reduce 962 to: % 19.55/5.13 | (423) $false % 19.55/5.13 | % 19.55/5.13 |-The branch is then unsatisfiable % 19.55/5.13 |-Branch two: % 19.55/5.13 | (1935) ~ (all_0_140_140 = e13) % 19.55/5.13 | (1072) all_0_144_144 = e13 % 19.55/5.13 | % 19.55/5.13 | Combining equations (1054,1072) yields a new equation: % 19.55/5.13 | (1382) e13 = e12 % 19.55/5.13 | % 19.55/5.13 | Equations (1382) can reduce 292 to: % 19.55/5.13 | (423) $false % 19.55/5.13 | % 19.55/5.13 |-The branch is then unsatisfiable % 19.55/5.13 |-Branch two: % 19.55/5.13 | (1197) ~ (all_0_136_136 = e11) % 19.55/5.13 | (1202) all_0_137_137 = e11 | all_0_138_138 = e11 % 19.55/5.13 | % 19.55/5.13 +-Applying beta-rule and splitting (1202), into two cases. % 19.55/5.13 |-Branch one: % 19.55/5.13 | (1065) all_0_137_137 = e11 % 19.55/5.13 | % 19.55/5.13 | Equations (1065) can reduce 82 to: % 19.55/5.13 | (1942) ~ (all_0_145_145 = e11) % 19.55/5.13 | % 19.55/5.13 | Simplifying 1942 yields: % 19.55/5.13 | (1050) ~ (all_0_145_145 = e11) % 19.55/5.13 | % 19.55/5.13 +-Applying beta-rule and splitting (214), into two cases. % 19.55/5.13 |-Branch one: % 19.55/5.13 | (1078) all_0_145_145 = e10 % 19.55/5.13 | % 19.55/5.13 | Equations (1078) can reduce 328 to: % 19.55/5.13 | (998) ~ (all_0_146_146 = e10) % 19.55/5.13 | % 19.55/5.13 | Simplifying 998 yields: % 19.55/5.13 | (999) ~ (all_0_146_146 = e10) % 19.55/5.13 | % 19.55/5.13 | Equations (1078) can reduce 1074 to: % 19.55/5.13 | (1166) ~ (e13 = e10) % 19.55/5.13 | % 19.55/5.13 | Simplifying 1166 yields: % 19.55/5.13 | (197) ~ (e13 = e10) % 19.55/5.13 | % 19.55/5.13 | Equations (1078) can reduce 298 to: % 19.55/5.13 | (1000) ~ (e12 = e10) % 19.55/5.13 | % 19.55/5.13 | Simplifying 1000 yields: % 19.55/5.13 | (165) ~ (e12 = e10) % 19.55/5.13 | % 19.55/5.13 +-Applying beta-rule and splitting (109), into two cases. % 19.55/5.13 |-Branch one: % 19.55/5.13 | (1013) all_0_139_139 = e10 % 19.55/5.13 | % 19.55/5.13 | Combining equations (1036,1013) yields a new equation: % 19.55/5.13 | (1256) e12 = e10 % 19.55/5.13 | % 19.55/5.13 | Simplifying 1256 yields: % 19.55/5.13 | (1004) e12 = e10 % 19.55/5.13 | % 19.55/5.13 | Equations (1004) can reduce 165 to: % 19.55/5.13 | (423) $false % 19.55/5.13 | % 19.55/5.13 |-The branch is then unsatisfiable % 19.55/5.13 |-Branch two: % 19.55/5.13 | (997) ~ (all_0_139_139 = e10) % 19.55/5.13 | (1394) all_0_141_141 = e10 | all_0_142_142 = e10 % 19.55/5.13 | % 19.55/5.13 | Equations (1036) can reduce 997 to: % 19.55/5.13 | (165) ~ (e12 = e10) % 19.55/5.13 | % 19.55/5.13 +-Applying beta-rule and splitting (224), into two cases. % 19.55/5.13 |-Branch one: % 19.55/5.13 | (1009) all_0_146_146 = e10 % 19.55/5.13 | % 19.55/5.13 | Equations (1009) can reduce 999 to: % 19.55/5.13 | (423) $false % 19.55/5.13 | % 19.55/5.13 |-The branch is then unsatisfiable % 19.55/5.13 |-Branch two: % 19.55/5.13 | (999) ~ (all_0_146_146 = e10) % 19.55/5.13 | (1012) all_0_146_146 = e12 | all_0_146_146 = e11 % 19.55/5.13 | % 19.55/5.13 +-Applying beta-rule and splitting (210), into two cases. % 19.55/5.13 |-Branch one: % 19.55/5.13 | (1239) all_0_138_138 = e10 % 19.55/5.13 | % 19.55/5.13 | Combining equations (973,1239) yields a new equation: % 19.55/5.13 | (1256) e12 = e10 % 19.55/5.13 | % 19.55/5.13 | Simplifying 1256 yields: % 19.55/5.13 | (1004) e12 = e10 % 19.55/5.13 | % 19.55/5.13 | Equations (1004) can reduce 165 to: % 19.55/5.13 | (423) $false % 19.55/5.13 | % 19.55/5.13 |-The branch is then unsatisfiable % 19.55/5.13 |-Branch two: % 19.55/5.13 | (1277) ~ (all_0_138_138 = e10) % 19.55/5.13 | (1313) all_0_142_142 = e10 | all_0_146_146 = e10 % 19.55/5.13 | % 19.55/5.13 +-Applying beta-rule and splitting (335), into two cases. % 19.55/5.13 |-Branch one: % 19.55/5.13 | (1003) all_0_143_143 = e10 % 19.55/5.13 | % 19.55/5.13 | Combining equations (1759,1003) yields a new equation: % 19.55/5.13 | (1390) e13 = e10 % 19.55/5.13 | % 19.55/5.13 | Simplifying 1390 yields: % 19.55/5.13 | (1171) e13 = e10 % 19.55/5.13 | % 19.55/5.13 | Equations (1171) can reduce 197 to: % 19.55/5.13 | (423) $false % 19.55/5.13 | % 19.55/5.13 |-The branch is then unsatisfiable % 19.55/5.13 |-Branch two: % 19.55/5.13 | (1006) ~ (all_0_143_143 = e10) % 19.55/5.14 | (1260) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11)) | ( ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 19.55/5.14 | % 19.55/5.14 +-Applying beta-rule and splitting (1313), into two cases. % 19.55/5.14 |-Branch one: % 19.55/5.14 | (996) all_0_142_142 = e10 % 19.55/5.14 | % 19.55/5.14 | Equations (996) can reduce 115 to: % 19.55/5.14 | (998) ~ (all_0_146_146 = e10) % 19.55/5.14 | % 19.55/5.14 | Simplifying 998 yields: % 19.55/5.14 | (999) ~ (all_0_146_146 = e10) % 19.55/5.14 | % 19.55/5.14 | Equations (996) can reduce 987 to: % 19.55/5.14 | (1000) ~ (e12 = e10) % 19.55/5.14 | % 19.55/5.14 | Simplifying 1000 yields: % 19.55/5.14 | (165) ~ (e12 = e10) % 19.55/5.14 | % 19.55/5.14 +-Applying beta-rule and splitting (1012), into two cases. % 19.55/5.14 |-Branch one: % 19.55/5.14 | (1599) all_0_146_146 = e12 % 19.55/5.14 | % 19.55/5.14 | Equations (1599) can reduce 966 to: % 19.55/5.14 | (423) $false % 19.55/5.14 | % 19.55/5.14 |-The branch is then unsatisfiable % 19.55/5.14 |-Branch two: % 19.55/5.14 | (966) ~ (all_0_146_146 = e12) % 19.55/5.14 | (1048) all_0_146_146 = e11 % 19.55/5.14 | % 19.55/5.14 | Equations (1048) can reduce 999 to: % 19.55/5.14 | (297) ~ (e11 = e10) % 19.55/5.14 | % 19.55/5.14 +-Applying beta-rule and splitting (1260), into two cases. % 19.55/5.14 |-Branch one: % 19.55/5.14 | (1261) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11)) % 19.55/5.14 | % 19.55/5.14 +-Applying beta-rule and splitting (1261), into two cases. % 19.55/5.14 |-Branch one: % 19.55/5.14 | (1262) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 19.55/5.14 | % 19.55/5.14 +-Applying beta-rule and splitting (1262), into two cases. % 19.55/5.14 |-Branch one: % 19.55/5.14 | (1263) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) % 19.55/5.14 | % 19.55/5.14 +-Applying beta-rule and splitting (1263), into two cases. % 19.55/5.14 |-Branch one: % 19.55/5.14 | (1264) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 19.55/5.14 | % 19.55/5.14 +-Applying beta-rule and splitting (1264), into two cases. % 19.55/5.14 |-Branch one: % 19.55/5.14 | (1265) all_0_135_135 = e12 & ~ (all_0_136_136 = e13) % 19.55/5.14 | % 19.55/5.14 | Applying alpha-rule on (1265) yields: % 19.55/5.14 | (1266) all_0_135_135 = e12 % 19.55/5.14 | (1267) ~ (all_0_136_136 = e13) % 19.55/5.14 | % 19.55/5.14 | Combining equations (1266,1030) yields a new equation: % 19.55/5.14 | (1256) e12 = e10 % 19.55/5.14 | % 19.55/5.14 | Simplifying 1256 yields: % 19.55/5.14 | (1004) e12 = e10 % 19.55/5.14 | % 19.55/5.14 | Equations (1004) can reduce 165 to: % 19.55/5.14 | (423) $false % 19.55/5.14 | % 19.55/5.14 |-The branch is then unsatisfiable % 19.55/5.14 |-Branch two: % 19.55/5.14 | (1269) all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 19.55/5.14 | % 19.55/5.14 | Applying alpha-rule on (1269) yields: % 19.55/5.14 | (1050) ~ (all_0_145_145 = e11) % 19.55/5.14 | (999) ~ (all_0_146_146 = e10) % 19.55/5.14 | (973) all_0_138_138 = e12 % 19.55/5.14 | (962) ~ (all_0_144_144 = e12) % 19.55/5.14 | (1274) ~ (all_0_143_143 = e13) % 19.55/5.14 | % 19.55/5.14 | Equations (1054) can reduce 962 to: % 19.55/5.14 | (423) $false % 19.55/5.14 | % 19.55/5.14 |-The branch is then unsatisfiable % 19.55/5.14 |-Branch two: % 19.55/5.14 | (1276) all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10) % 19.55/5.14 | % 19.55/5.14 | Applying alpha-rule on (1276) yields: % 19.55/5.14 | (1277) ~ (all_0_138_138 = e10) % 19.55/5.14 | (1060) ~ (all_0_137_137 = e11) % 19.55/5.14 | (1024) all_0_140_140 = e11 % 19.55/5.14 | (1173) ~ (all_0_135_135 = e13) % 19.55/5.14 | (975) ~ (all_0_136_136 = e12) % 19.55/5.14 | % 19.55/5.14 | Equations (1065) can reduce 1060 to: % 19.55/5.14 | (423) $false % 19.55/5.14 | % 19.55/5.14 |-The branch is then unsatisfiable % 19.55/5.14 |-Branch two: % 19.55/5.14 | (1284) all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 19.55/5.14 | % 19.55/5.14 | Applying alpha-rule on (1284) yields: % 19.55/5.14 | (1050) ~ (all_0_145_145 = e11) % 19.55/5.14 | (999) ~ (all_0_146_146 = e10) % 19.55/5.14 | (1287) ~ (all_0_141_141 = e10) % 19.55/5.14 | (962) ~ (all_0_144_144 = e12) % 19.55/5.14 | (1274) ~ (all_0_143_143 = e13) % 19.55/5.14 | (1043) all_0_142_142 = e11 % 19.55/5.14 | % 19.55/5.14 | Combining equations (996,1043) yields a new equation: % 19.55/5.14 | (1045) e11 = e10 % 19.55/5.14 | % 19.55/5.14 | Equations (1045) can reduce 297 to: % 19.55/5.14 | (423) $false % 19.55/5.14 | % 19.55/5.14 |-The branch is then unsatisfiable % 19.55/5.14 |-Branch two: % 19.55/5.14 | (1292) all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11) % 19.55/5.14 | % 19.55/5.14 | Applying alpha-rule on (1292) yields: % 19.55/5.14 | (1242) ~ (all_0_142_142 = e10) % 19.55/5.14 | (1294) ~ (all_0_146_146 = e11) % 19.55/5.14 | (1295) ~ (all_0_140_140 = e12) % 19.55/5.14 | (1296) ~ (all_0_139_139 = e13) % 19.55/5.14 | (1078) all_0_145_145 = e10 % 19.55/5.14 | (1151) ~ (all_0_141_141 = e11) % 19.55/5.14 | % 19.55/5.14 | Equations (1048) can reduce 1294 to: % 19.55/5.14 | (423) $false % 19.55/5.14 | % 19.55/5.14 |-The branch is then unsatisfiable % 19.55/5.14 |-Branch two: % 19.55/5.14 | (1300) ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 19.55/5.14 | % 19.55/5.14 | Applying alpha-rule on (1300) yields: % 19.55/5.14 | (1274) ~ (all_0_143_143 = e13) % 19.55/5.14 | (962) ~ (all_0_144_144 = e12) % 19.55/5.14 | (1050) ~ (all_0_145_145 = e11) % 19.55/5.14 | (999) ~ (all_0_146_146 = e10) % 19.55/5.14 | % 19.55/5.14 | Equations (1054) can reduce 962 to: % 19.55/5.14 | (423) $false % 19.55/5.14 | % 19.55/5.14 |-The branch is then unsatisfiable % 19.55/5.14 |-Branch two: % 19.55/5.14 | (1242) ~ (all_0_142_142 = e10) % 19.55/5.14 | (1009) all_0_146_146 = e10 % 19.55/5.14 | % 19.55/5.14 | Equations (1009) can reduce 999 to: % 19.55/5.14 | (423) $false % 19.55/5.14 | % 19.55/5.14 |-The branch is then unsatisfiable % 19.55/5.14 |-Branch two: % 19.55/5.14 | (1155) ~ (all_0_145_145 = e10) % 19.55/5.14 | (1156) all_0_145_145 = e13 | all_0_145_145 = e11 % 19.55/5.14 | % 19.55/5.14 +-Applying beta-rule and splitting (1156), into two cases. % 19.55/5.14 |-Branch one: % 19.55/5.14 | (1188) all_0_145_145 = e11 % 19.55/5.14 | % 19.55/5.14 | Equations (1188) can reduce 1050 to: % 19.55/5.14 | (423) $false % 19.55/5.14 | % 19.55/5.14 |-The branch is then unsatisfiable % 19.55/5.14 |-Branch two: % 19.55/5.14 | (1050) ~ (all_0_145_145 = e11) % 19.55/5.14 | (1184) all_0_145_145 = e13 % 19.55/5.14 | % 19.55/5.14 | Equations (1184) can reduce 1074 to: % 19.55/5.14 | (423) $false % 19.55/5.14 | % 19.55/5.14 |-The branch is then unsatisfiable % 19.55/5.14 |-Branch two: % 19.55/5.14 | (1060) ~ (all_0_137_137 = e11) % 19.55/5.14 | (1017) all_0_138_138 = e11 % 19.55/5.14 | % 19.55/5.14 | Combining equations (973,1017) yields a new equation: % 19.55/5.14 | (1018) e12 = e11 % 19.55/5.14 | % 19.55/5.14 | Simplifying 1018 yields: % 19.55/5.14 | (1019) e12 = e11 % 19.55/5.14 | % 19.55/5.14 | Equations (1019) can reduce 313 to: % 19.55/5.14 | (423) $false % 19.55/5.14 | % 19.55/5.14 |-The branch is then unsatisfiable % 19.55/5.14 |-Branch two: % 19.55/5.14 | (962) ~ (all_0_144_144 = e12) % 19.55/5.14 | (1599) all_0_146_146 = e12 % 19.55/5.14 | % 19.55/5.14 | Equations (1599) can reduce 966 to: % 19.55/5.14 | (423) $false % 19.55/5.14 | % 19.55/5.14 |-The branch is then unsatisfiable % 19.55/5.14 |-Branch two: % 19.55/5.14 | (1324) ~ (all_0_138_138 = e12) % 19.55/5.14 | (1325) all_0_142_142 = e12 | all_0_146_146 = e12 % 19.55/5.14 | % 19.55/5.14 +-Applying beta-rule and splitting (1325), into two cases. % 19.55/5.14 |-Branch one: % 19.55/5.14 | (1244) all_0_142_142 = e12 % 19.55/5.14 | % 19.55/5.14 | Equations (1244) can reduce 987 to: % 19.55/5.14 | (423) $false % 19.55/5.14 | % 19.55/5.14 |-The branch is then unsatisfiable % 19.55/5.14 |-Branch two: % 19.55/5.14 | (987) ~ (all_0_142_142 = e12) % 19.55/5.14 | (1599) all_0_146_146 = e12 % 19.55/5.14 | % 19.55/5.14 | Equations (1599) can reduce 115 to: % 19.55/5.14 | (987) ~ (all_0_142_142 = e12) % 19.55/5.14 | % 19.55/5.14 | Equations (1599) can reduce 94 to: % 19.55/5.14 | (962) ~ (all_0_144_144 = e12) % 19.55/5.14 | % 19.55/5.14 +-Applying beta-rule and splitting (263), into two cases. % 19.55/5.14 |-Branch one: % 19.55/5.14 | (980) all_0_136_136 = e12 % 19.55/5.14 | % 19.55/5.14 | Equations (980) can reduce 319 to: % 19.55/5.14 | (1342) ~ (all_0_138_138 = e12) % 19.55/5.14 | % 19.55/5.14 | Simplifying 1342 yields: % 19.55/5.14 | (1324) ~ (all_0_138_138 = e12) % 19.55/5.14 | % 19.55/5.14 | Equations (980) can reduce 32 to: % 19.55/5.14 | (165) ~ (e12 = e10) % 19.55/5.14 | % 19.55/5.14 +-Applying beta-rule and splitting (8), into two cases. % 19.55/5.14 |-Branch one: % 19.55/5.14 | (1170) all_0_135_135 = e13 % 19.55/5.14 | % 19.55/5.14 | Combining equations (1170,1030) yields a new equation: % 19.55/5.14 | (1390) e13 = e10 % 19.55/5.14 | % 19.55/5.14 | Simplifying 1390 yields: % 19.55/5.14 | (1171) e13 = e10 % 19.55/5.14 | % 19.55/5.14 | Equations (1171) can reduce 197 to: % 19.55/5.14 | (423) $false % 19.55/5.14 | % 19.55/5.14 |-The branch is then unsatisfiable % 19.55/5.14 |-Branch two: % 19.55/5.14 | (1173) ~ (all_0_135_135 = e13) % 19.55/5.14 | (1174) all_0_136_136 = e13 | all_0_137_137 = e13 % 19.55/5.14 | % 19.55/5.14 | Equations (1030) can reduce 1173 to: % 19.55/5.14 | (1166) ~ (e13 = e10) % 19.55/5.14 | % 19.55/5.14 | Simplifying 1166 yields: % 19.55/5.14 | (197) ~ (e13 = e10) % 19.55/5.14 | % 19.55/5.14 +-Applying beta-rule and splitting (335), into two cases. % 19.55/5.14 |-Branch one: % 19.55/5.14 | (1003) all_0_143_143 = e10 % 19.55/5.14 | % 19.55/5.14 | Combining equations (1003,1759) yields a new equation: % 19.55/5.14 | (1171) e13 = e10 % 19.55/5.14 | % 19.55/5.14 | Equations (1171) can reduce 197 to: % 19.55/5.14 | (423) $false % 19.55/5.14 | % 19.55/5.14 |-The branch is then unsatisfiable % 19.55/5.14 |-Branch two: % 19.55/5.14 | (1006) ~ (all_0_143_143 = e10) % 19.55/5.14 | (1260) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11)) | ( ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 19.55/5.14 | % 19.55/5.14 +-Applying beta-rule and splitting (46), into two cases. % 19.55/5.14 |-Branch one: % 19.55/5.14 | (1239) all_0_138_138 = e10 % 19.55/5.14 | % 19.55/5.15 | Equations (1239) can reduce 1277 to: % 19.55/5.15 | (423) $false % 19.55/5.15 | % 19.55/5.15 |-The branch is then unsatisfiable % 19.55/5.15 |-Branch two: % 19.55/5.15 | (1277) ~ (all_0_138_138 = e10) % 19.55/5.15 | (2077) all_0_138_138 = e12 | all_0_138_138 = e11 % 19.55/5.15 | % 19.55/5.15 +-Applying beta-rule and splitting (2077), into two cases. % 19.55/5.15 |-Branch one: % 19.55/5.15 | (973) all_0_138_138 = e12 % 19.55/5.15 | % 19.55/5.15 | Equations (973) can reduce 1324 to: % 19.55/5.15 | (423) $false % 19.55/5.15 | % 19.55/5.15 |-The branch is then unsatisfiable % 19.55/5.15 |-Branch two: % 19.55/5.15 | (1324) ~ (all_0_138_138 = e12) % 19.55/5.15 | (1017) all_0_138_138 = e11 % 19.55/5.15 | % 19.55/5.15 | Equations (1017) can reduce 316 to: % 19.55/5.15 | (2082) ~ (all_0_142_142 = e11) % 19.55/5.15 | % 19.55/5.15 | Simplifying 2082 yields: % 19.55/5.15 | (1047) ~ (all_0_142_142 = e11) % 19.55/5.15 | % 19.55/5.15 | Equations (1017) can reduce 1324 to: % 19.55/5.15 | (1051) ~ (e12 = e11) % 19.55/5.15 | % 19.55/5.15 | Simplifying 1051 yields: % 19.55/5.15 | (313) ~ (e12 = e11) % 19.55/5.15 | % 19.55/5.15 +-Applying beta-rule and splitting (1260), into two cases. % 19.55/5.15 |-Branch one: % 19.55/5.15 | (1261) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11)) % 19.55/5.15 | % 19.55/5.15 +-Applying beta-rule and splitting (1261), into two cases. % 19.55/5.15 |-Branch one: % 19.55/5.15 | (1262) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 19.55/5.15 | % 19.55/5.15 +-Applying beta-rule and splitting (1262), into two cases. % 19.55/5.15 |-Branch one: % 19.55/5.15 | (1263) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) % 19.55/5.15 | % 19.55/5.15 +-Applying beta-rule and splitting (1263), into two cases. % 19.55/5.15 |-Branch one: % 19.55/5.15 | (1264) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 19.55/5.15 | % 19.55/5.15 +-Applying beta-rule and splitting (1264), into two cases. % 19.55/5.15 |-Branch one: % 19.55/5.15 | (1265) all_0_135_135 = e12 & ~ (all_0_136_136 = e13) % 19.55/5.15 | % 19.55/5.15 | Applying alpha-rule on (1265) yields: % 19.55/5.15 | (1266) all_0_135_135 = e12 % 19.55/5.15 | (1267) ~ (all_0_136_136 = e13) % 19.55/5.15 | % 19.55/5.15 | Combining equations (1266,1030) yields a new equation: % 19.55/5.15 | (1256) e12 = e10 % 19.55/5.15 | % 19.55/5.15 | Simplifying 1256 yields: % 19.55/5.15 | (1004) e12 = e10 % 19.55/5.15 | % 19.55/5.15 | Equations (1004) can reduce 165 to: % 19.55/5.15 | (423) $false % 19.55/5.15 | % 19.55/5.15 |-The branch is then unsatisfiable % 19.55/5.15 |-Branch two: % 19.55/5.15 | (1269) all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 19.55/5.15 | % 19.55/5.15 | Applying alpha-rule on (1269) yields: % 19.55/5.15 | (1050) ~ (all_0_145_145 = e11) % 19.55/5.15 | (999) ~ (all_0_146_146 = e10) % 19.55/5.15 | (973) all_0_138_138 = e12 % 19.55/5.15 | (962) ~ (all_0_144_144 = e12) % 19.55/5.15 | (1274) ~ (all_0_143_143 = e13) % 19.55/5.15 | % 19.55/5.15 | Combining equations (1017,973) yields a new equation: % 19.55/5.15 | (1019) e12 = e11 % 19.55/5.15 | % 19.55/5.15 | Equations (1019) can reduce 313 to: % 19.55/5.15 | (423) $false % 19.55/5.15 | % 19.55/5.15 |-The branch is then unsatisfiable % 19.55/5.15 |-Branch two: % 19.55/5.15 | (1276) all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10) % 19.55/5.15 | % 19.55/5.15 | Applying alpha-rule on (1276) yields: % 19.55/5.15 | (1277) ~ (all_0_138_138 = e10) % 19.55/5.15 | (1060) ~ (all_0_137_137 = e11) % 19.55/5.15 | (1024) all_0_140_140 = e11 % 19.55/5.15 | (1173) ~ (all_0_135_135 = e13) % 19.55/5.15 | (975) ~ (all_0_136_136 = e12) % 19.55/5.15 | % 19.55/5.15 | Equations (980) can reduce 975 to: % 19.55/5.15 | (423) $false % 19.55/5.15 | % 19.55/5.15 |-The branch is then unsatisfiable % 19.55/5.15 |-Branch two: % 19.55/5.15 | (1284) all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 19.55/5.15 | % 19.55/5.15 | Applying alpha-rule on (1284) yields: % 19.55/5.15 | (1050) ~ (all_0_145_145 = e11) % 19.55/5.15 | (999) ~ (all_0_146_146 = e10) % 19.55/5.15 | (1287) ~ (all_0_141_141 = e10) % 19.55/5.15 | (962) ~ (all_0_144_144 = e12) % 19.55/5.15 | (1274) ~ (all_0_143_143 = e13) % 19.55/5.15 | (1043) all_0_142_142 = e11 % 19.55/5.15 | % 19.55/5.15 | Equations (1759) can reduce 1274 to: % 19.55/5.15 | (423) $false % 19.55/5.15 | % 19.55/5.15 |-The branch is then unsatisfiable % 19.55/5.15 |-Branch two: % 19.55/5.15 | (1292) all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11) % 19.55/5.15 | % 19.55/5.15 | Applying alpha-rule on (1292) yields: % 19.55/5.15 | (1242) ~ (all_0_142_142 = e10) % 19.55/5.15 | (1294) ~ (all_0_146_146 = e11) % 19.55/5.15 | (1295) ~ (all_0_140_140 = e12) % 19.55/5.15 | (1296) ~ (all_0_139_139 = e13) % 19.55/5.15 | (1078) all_0_145_145 = e10 % 19.55/5.15 | (1151) ~ (all_0_141_141 = e11) % 19.55/5.15 | % 19.55/5.15 +-Applying beta-rule and splitting (159), into two cases. % 19.55/5.15 |-Branch one: % 19.55/5.15 | (996) all_0_142_142 = e10 % 19.55/5.15 | % 19.55/5.15 | Equations (996) can reduce 1242 to: % 19.55/5.15 | (423) $false % 19.55/5.15 | % 19.55/5.15 |-The branch is then unsatisfiable % 19.55/5.15 |-Branch two: % 19.55/5.15 | (1242) ~ (all_0_142_142 = e10) % 19.55/5.15 | (1243) all_0_142_142 = e12 | all_0_142_142 = e11 % 19.55/5.15 | % 19.55/5.15 +-Applying beta-rule and splitting (1243), into two cases. % 19.55/5.15 |-Branch one: % 19.55/5.15 | (1244) all_0_142_142 = e12 % 19.55/5.15 | % 19.55/5.15 | Equations (1244) can reduce 987 to: % 19.55/5.15 | (423) $false % 19.55/5.15 | % 19.55/5.15 |-The branch is then unsatisfiable % 19.55/5.15 |-Branch two: % 19.55/5.15 | (987) ~ (all_0_142_142 = e12) % 19.55/5.15 | (1043) all_0_142_142 = e11 % 19.55/5.15 | % 19.55/5.15 | Equations (1043) can reduce 1047 to: % 19.55/5.15 | (423) $false % 19.55/5.15 | % 19.55/5.15 |-The branch is then unsatisfiable % 19.55/5.15 |-Branch two: % 19.55/5.15 | (1300) ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 19.55/5.15 | % 19.55/5.15 | Applying alpha-rule on (1300) yields: % 19.55/5.15 | (1274) ~ (all_0_143_143 = e13) % 19.55/5.15 | (962) ~ (all_0_144_144 = e12) % 19.55/5.15 | (1050) ~ (all_0_145_145 = e11) % 19.55/5.15 | (999) ~ (all_0_146_146 = e10) % 19.55/5.15 | % 19.55/5.15 | Equations (1759) can reduce 1274 to: % 19.55/5.15 | (423) $false % 19.55/5.15 | % 19.55/5.15 |-The branch is then unsatisfiable % 19.55/5.15 |-Branch two: % 19.55/5.15 | (975) ~ (all_0_136_136 = e12) % 19.55/5.15 | (983) all_0_140_140 = e12 | all_0_144_144 = e12 % 19.55/5.15 | % 19.55/5.15 +-Applying beta-rule and splitting (983), into two cases. % 19.55/5.15 |-Branch one: % 19.55/5.15 | (984) all_0_140_140 = e12 % 19.55/5.15 | % 19.55/5.15 | Equations (984) can reduce 1295 to: % 19.55/5.15 | (423) $false % 19.55/5.15 | % 19.55/5.15 |-The branch is then unsatisfiable % 19.55/5.15 |-Branch two: % 19.55/5.15 | (1295) ~ (all_0_140_140 = e12) % 19.55/5.15 | (1054) all_0_144_144 = e12 % 19.55/5.15 | % 19.55/5.15 | Equations (1054) can reduce 962 to: % 19.55/5.15 | (423) $false % 19.55/5.15 | % 19.55/5.15 |-The branch is then unsatisfiable % 19.55/5.15 |-Branch two: % 19.55/5.15 | (985) ~ (all_0_139_139 = e12) % 19.55/5.15 | (1039) all_0_139_139 = e13 % 19.55/5.15 | % 19.55/5.15 | Equations (1039) can reduce 1296 to: % 19.55/5.15 | (423) $false % 19.55/5.15 | % 19.55/5.15 |-The branch is then unsatisfiable % 19.55/5.15 |-Branch two: % 19.55/5.15 | (1224) ~ (all_0_135_135 = e10) % 19.55/5.15 | (1225) all_0_139_139 = e10 | all_0_143_143 = e10 % 19.55/5.15 | % 19.55/5.15 +-Applying beta-rule and splitting (309), into two cases. % 19.55/5.15 |-Branch one: % 19.55/5.15 | (1030) all_0_135_135 = e10 % 19.55/5.15 | % 19.55/5.15 | Equations (1030) can reduce 1224 to: % 19.55/5.15 | (423) $false % 19.55/5.15 | % 19.55/5.15 |-The branch is then unsatisfiable % 19.55/5.15 |-Branch two: % 19.55/5.15 | (1224) ~ (all_0_135_135 = e10) % 19.55/5.15 | (1535) all_0_135_135 = e13 | all_0_135_135 = e12 % 19.55/5.15 | % 19.55/5.15 +-Applying beta-rule and splitting (1535), into two cases. % 19.55/5.15 |-Branch one: % 19.55/5.15 | (1266) all_0_135_135 = e12 % 19.55/5.15 | % 19.55/5.15 | Equations (1266) can reduce 279 to: % 19.55/5.15 | (1725) ~ (all_0_136_136 = e12) % 19.55/5.15 | % 19.55/5.15 | Simplifying 1725 yields: % 19.55/5.15 | (975) ~ (all_0_136_136 = e12) % 19.55/5.15 | % 19.55/5.15 | Equations (1266) can reduce 29 to: % 19.55/5.15 | (1340) ~ (all_0_137_137 = e12) % 19.55/5.15 | % 19.55/5.15 | Simplifying 1340 yields: % 19.55/5.15 | (255) ~ (all_0_137_137 = e12) % 19.55/5.15 | % 19.55/5.15 | Equations (1266) can reduce 262 to: % 19.55/5.15 | (1342) ~ (all_0_138_138 = e12) % 19.55/5.15 | % 19.55/5.15 | Simplifying 1342 yields: % 19.55/5.15 | (1324) ~ (all_0_138_138 = e12) % 19.55/5.15 | % 19.55/5.15 +-Applying beta-rule and splitting (1225), into two cases. % 19.55/5.15 |-Branch one: % 19.55/5.15 | (1013) all_0_139_139 = e10 % 19.55/5.15 | % 19.55/5.15 | Equations (1013) can reduce 166 to: % 19.55/5.15 | (2165) ~ (all_0_140_140 = e10) % 19.55/5.15 | % 19.55/5.15 | Simplifying 2165 yields: % 19.55/5.15 | (222) ~ (all_0_140_140 = e10) % 19.55/5.15 | % 19.55/5.15 | Equations (1013) can reduce 296 to: % 19.55/5.15 | (2167) ~ (all_0_141_141 = e10) % 19.55/5.15 | % 19.55/5.15 | Simplifying 2167 yields: % 19.55/5.15 | (1287) ~ (all_0_141_141 = e10) % 19.55/5.15 | % 19.55/5.15 | Equations (1013) can reduce 320 to: % 19.55/5.15 | (2169) ~ (all_0_142_142 = e10) % 19.55/5.15 | % 19.55/5.15 | Simplifying 2169 yields: % 19.55/5.15 | (1242) ~ (all_0_142_142 = e10) % 19.55/5.15 | % 19.55/5.15 | Equations (1013) can reduce 1296 to: % 19.55/5.15 | (1166) ~ (e13 = e10) % 19.55/5.15 | % 19.55/5.15 | Simplifying 1166 yields: % 19.55/5.15 | (197) ~ (e13 = e10) % 19.55/5.15 | % 19.55/5.15 | Equations (1013) can reduce 152 to: % 19.55/5.15 | (1033) ~ (e11 = e10) % 19.55/5.15 | % 19.55/5.15 | Simplifying 1033 yields: % 19.55/5.15 | (297) ~ (e11 = e10) % 19.55/5.15 | % 19.55/5.15 +-Applying beta-rule and splitting (159), into two cases. % 19.55/5.15 |-Branch one: % 19.55/5.15 | (996) all_0_142_142 = e10 % 19.55/5.15 | % 19.55/5.16 | Equations (996) can reduce 1242 to: % 19.55/5.16 | (423) $false % 19.55/5.16 | % 19.55/5.16 |-The branch is then unsatisfiable % 19.55/5.16 |-Branch two: % 19.55/5.16 | (1242) ~ (all_0_142_142 = e10) % 19.55/5.16 | (1243) all_0_142_142 = e12 | all_0_142_142 = e11 % 19.55/5.16 | % 19.55/5.16 +-Applying beta-rule and splitting (15), into two cases. % 19.55/5.16 |-Branch one: % 19.55/5.16 | (980) all_0_136_136 = e12 % 19.55/5.16 | % 19.55/5.16 | Equations (980) can reduce 975 to: % 19.55/5.16 | (423) $false % 19.55/5.16 | % 19.55/5.16 |-The branch is then unsatisfiable % 19.55/5.16 |-Branch two: % 19.55/5.16 | (975) ~ (all_0_136_136 = e12) % 19.55/5.16 | (2182) all_0_136_136 = e13 | all_0_136_136 = e11 % 19.55/5.16 | % 19.55/5.16 +-Applying beta-rule and splitting (214), into two cases. % 19.55/5.16 |-Branch one: % 19.55/5.16 | (1078) all_0_145_145 = e10 % 19.55/5.16 | % 19.55/5.16 | Equations (1078) can reduce 305 to: % 19.55/5.16 | (1287) ~ (all_0_141_141 = e10) % 19.55/5.16 | % 19.55/5.16 | Equations (1078) can reduce 328 to: % 19.55/5.16 | (998) ~ (all_0_146_146 = e10) % 19.55/5.16 | % 19.55/5.16 | Simplifying 998 yields: % 19.55/5.16 | (999) ~ (all_0_146_146 = e10) % 19.55/5.16 | % 19.55/5.16 +-Applying beta-rule and splitting (210), into two cases. % 19.55/5.16 |-Branch one: % 19.55/5.16 | (1239) all_0_138_138 = e10 % 19.55/5.16 | % 19.55/5.16 | Equations (1239) can reduce 319 to: % 19.55/5.16 | (32) ~ (all_0_136_136 = e10) % 19.55/5.16 | % 19.55/5.16 | Equations (1239) can reduce 132 to: % 19.55/5.16 | (1238) ~ (all_0_137_137 = e10) % 19.55/5.16 | % 19.55/5.16 | Equations (1239) can reduce 316 to: % 19.55/5.16 | (2169) ~ (all_0_142_142 = e10) % 19.55/5.16 | % 19.55/5.16 | Simplifying 2169 yields: % 19.55/5.16 | (1242) ~ (all_0_142_142 = e10) % 19.55/5.16 | % 19.55/5.16 | Equations (1239) can reduce 50 to: % 19.55/5.16 | (998) ~ (all_0_146_146 = e10) % 19.55/5.16 | % 19.55/5.16 | Simplifying 998 yields: % 19.55/5.16 | (999) ~ (all_0_146_146 = e10) % 19.55/5.16 | % 19.55/5.16 | Equations (1239) can reduce 102 to: % 19.55/5.16 | (1166) ~ (e13 = e10) % 19.55/5.16 | % 19.55/5.16 | Simplifying 1166 yields: % 19.55/5.16 | (197) ~ (e13 = e10) % 19.55/5.16 | % 19.55/5.16 | From (1239) and (38) follows: % 19.55/5.16 | (1592) op1(e10, e12) = all_0_120_120 % 19.55/5.16 | % 19.55/5.16 | Instantiating formula (312) with e10, e12, all_0_120_120, all_0_144_144 and discharging atoms op1(e10, e12) = all_0_120_120, op1(e10, e12) = all_0_144_144, yields: % 19.55/5.16 | (2197) all_0_120_120 = all_0_144_144 % 19.55/5.16 | % 19.55/5.16 +-Applying beta-rule and splitting (111), into two cases. % 19.55/5.16 |-Branch one: % 19.55/5.16 | (1395) all_0_141_141 = e10 % 19.55/5.16 | % 19.55/5.16 | Equations (1395) can reduce 1287 to: % 19.55/5.16 | (423) $false % 19.55/5.16 | % 19.55/5.16 |-The branch is then unsatisfiable % 19.55/5.16 |-Branch two: % 19.55/5.16 | (1287) ~ (all_0_141_141 = e10) % 19.55/5.16 | (2201) all_0_141_141 = e13 | all_0_141_141 = e11 % 19.55/5.16 | % 19.55/5.16 +-Applying beta-rule and splitting (224), into two cases. % 19.55/5.16 |-Branch one: % 19.55/5.16 | (1009) all_0_146_146 = e10 % 19.55/5.16 | % 19.55/5.16 | Equations (1009) can reduce 999 to: % 19.55/5.16 | (423) $false % 19.55/5.16 | % 19.55/5.16 |-The branch is then unsatisfiable % 19.55/5.16 |-Branch two: % 19.55/5.16 | (999) ~ (all_0_146_146 = e10) % 19.55/5.16 | (1012) all_0_146_146 = e12 | all_0_146_146 = e11 % 19.55/5.16 | % 19.55/5.16 +-Applying beta-rule and splitting (235), into two cases. % 19.55/5.16 |-Branch one: % 19.55/5.16 | (1017) all_0_138_138 = e11 % 19.55/5.16 | % 19.55/5.16 | Combining equations (1239,1017) yields a new equation: % 19.55/5.16 | (1045) e11 = e10 % 19.55/5.16 | % 19.55/5.16 | Equations (1045) can reduce 297 to: % 19.55/5.16 | (423) $false % 19.55/5.16 | % 19.55/5.16 |-The branch is then unsatisfiable % 19.55/5.16 |-Branch two: % 19.55/5.16 | (1021) ~ (all_0_138_138 = e11) % 19.55/5.16 | (1022) all_0_142_142 = e11 | all_0_146_146 = e11 % 19.55/5.16 | % 19.55/5.16 +-Applying beta-rule and splitting (263), into two cases. % 19.55/5.16 |-Branch one: % 19.55/5.16 | (980) all_0_136_136 = e12 % 19.55/5.16 | % 19.55/5.16 | Equations (980) can reduce 975 to: % 19.55/5.16 | (423) $false % 19.55/5.16 | % 19.55/5.16 |-The branch is then unsatisfiable % 19.55/5.16 |-Branch two: % 19.55/5.16 | (975) ~ (all_0_136_136 = e12) % 19.55/5.16 | (983) all_0_140_140 = e12 | all_0_144_144 = e12 % 19.55/5.16 | % 19.55/5.16 +-Applying beta-rule and splitting (25), into two cases. % 19.55/5.16 |-Branch one: % 19.55/5.16 | (1230) all_0_137_137 = e10 % 19.55/5.16 | % 19.55/5.16 | Equations (1230) can reduce 1238 to: % 19.55/5.16 | (423) $false % 19.55/5.16 | % 19.55/5.16 |-The branch is then unsatisfiable % 19.55/5.16 |-Branch two: % 19.55/5.16 | (1238) ~ (all_0_137_137 = e10) % 19.55/5.16 | (1864) all_0_137_137 = e13 | all_0_137_137 = e11 % 19.55/5.16 | % 19.55/5.16 +-Applying beta-rule and splitting (334), into two cases. % 19.55/5.16 |-Branch one: % 19.55/5.16 | (1054) all_0_144_144 = e12 % 19.55/5.16 | % 19.55/5.16 | Combining equations (1054,2197) yields a new equation: % 19.55/5.16 | (2220) all_0_120_120 = e12 % 19.55/5.16 | % 19.55/5.16 | Equations (1054) can reduce 94 to: % 19.55/5.16 | (965) ~ (all_0_146_146 = e12) % 19.55/5.16 | % 19.55/5.16 | Simplifying 965 yields: % 19.55/5.16 | (966) ~ (all_0_146_146 = e12) % 19.55/5.16 | % 19.55/5.16 +-Applying beta-rule and splitting (1012), into two cases. % 19.55/5.16 |-Branch one: % 19.55/5.16 | (1599) all_0_146_146 = e12 % 19.55/5.16 | % 19.55/5.16 | Equations (1599) can reduce 966 to: % 19.55/5.16 | (423) $false % 19.55/5.16 | % 19.55/5.16 |-The branch is then unsatisfiable % 19.55/5.16 |-Branch two: % 19.55/5.16 | (966) ~ (all_0_146_146 = e12) % 19.55/5.16 | (1048) all_0_146_146 = e11 % 19.55/5.16 | % 19.55/5.16 | Equations (1048) can reduce 115 to: % 19.55/5.16 | (1047) ~ (all_0_142_142 = e11) % 19.55/5.16 | % 19.55/5.16 | From (1048) and (24) follows: % 19.55/5.16 | (1605) op1(e11, e10) = all_0_122_122 % 19.55/5.16 | % 19.55/5.16 +-Applying beta-rule and splitting (1243), into two cases. % 19.55/5.16 |-Branch one: % 19.55/5.16 | (1244) all_0_142_142 = e12 % 19.55/5.16 | % 19.55/5.16 | Equations (1244) can reduce 11 to: % 19.55/5.16 | (1295) ~ (all_0_140_140 = e12) % 19.55/5.16 | % 19.55/5.16 | Equations (1244) can reduce 117 to: % 19.55/5.16 | (99) ~ (all_0_141_141 = e12) % 19.55/5.16 | % 19.55/5.16 | Equations (1244) can reduce 247 to: % 19.55/5.16 | (1849) ~ (e13 = e12) % 19.55/5.16 | % 19.55/5.16 | Simplifying 1849 yields: % 19.55/5.16 | (292) ~ (e13 = e12) % 19.55/5.16 | % 19.55/5.16 | Equations (1244) can reduce 1047 to: % 19.55/5.16 | (313) ~ (e12 = e11) % 19.55/5.16 | % 19.55/5.16 | Equations (1244) can reduce 1242 to: % 19.55/5.16 | (165) ~ (e12 = e10) % 19.55/5.16 | % 19.55/5.16 | From (1244) and (269) follows: % 19.55/5.16 | (1336) op1(e12, e11) = all_0_121_121 % 19.55/5.16 | % 19.55/5.16 | From (1244) and (245) follows: % 19.55/5.16 | (1337) op1(e11, e10) = e12 % 19.55/5.16 | % 19.55/5.16 +-Applying beta-rule and splitting (335), into two cases. % 19.55/5.16 |-Branch one: % 19.55/5.16 | (1003) all_0_143_143 = e10 % 19.55/5.16 | % 19.55/5.16 | Combining equations (1759,1003) yields a new equation: % 19.55/5.16 | (1390) e13 = e10 % 19.55/5.16 | % 19.55/5.16 | Simplifying 1390 yields: % 19.55/5.16 | (1171) e13 = e10 % 19.55/5.16 | % 19.55/5.16 | Equations (1171) can reduce 197 to: % 19.55/5.16 | (423) $false % 19.55/5.16 | % 19.55/5.16 |-The branch is then unsatisfiable % 19.55/5.16 |-Branch two: % 19.55/5.16 | (1006) ~ (all_0_143_143 = e10) % 19.55/5.16 | (1260) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11)) | ( ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 19.55/5.16 | % 19.55/5.16 +-Applying beta-rule and splitting (1260), into two cases. % 19.55/5.16 |-Branch one: % 19.55/5.16 | (1261) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11)) % 19.55/5.16 | % 19.55/5.16 +-Applying beta-rule and splitting (1261), into two cases. % 19.55/5.16 |-Branch one: % 19.55/5.16 | (1262) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 19.55/5.16 | % 19.55/5.16 +-Applying beta-rule and splitting (1262), into two cases. % 19.55/5.16 |-Branch one: % 19.55/5.16 | (1263) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) % 19.55/5.16 | % 19.55/5.16 +-Applying beta-rule and splitting (1263), into two cases. % 19.55/5.16 |-Branch one: % 19.55/5.16 | (1264) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 19.55/5.16 | % 19.55/5.16 +-Applying beta-rule and splitting (1264), into two cases. % 19.55/5.16 |-Branch one: % 19.55/5.16 | (1265) all_0_135_135 = e12 & ~ (all_0_136_136 = e13) % 19.55/5.16 | % 19.55/5.16 | Applying alpha-rule on (1265) yields: % 19.55/5.16 | (1266) all_0_135_135 = e12 % 19.55/5.16 | (1267) ~ (all_0_136_136 = e13) % 19.55/5.16 | % 19.55/5.16 +-Applying beta-rule and splitting (8), into two cases. % 19.55/5.16 |-Branch one: % 19.55/5.16 | (1170) all_0_135_135 = e13 % 19.55/5.16 | % 19.55/5.16 | Combining equations (1170,1266) yields a new equation: % 19.55/5.16 | (2252) e13 = e12 % 19.55/5.16 | % 19.55/5.16 | Simplifying 2252 yields: % 19.55/5.16 | (1382) e13 = e12 % 19.55/5.16 | % 19.55/5.16 | Equations (1382) can reduce 292 to: % 19.55/5.16 | (423) $false % 19.55/5.16 | % 19.55/5.16 |-The branch is then unsatisfiable % 19.55/5.16 |-Branch two: % 19.55/5.16 | (1173) ~ (all_0_135_135 = e13) % 19.55/5.16 | (1174) all_0_136_136 = e13 | all_0_137_137 = e13 % 19.55/5.16 | % 19.55/5.16 +-Applying beta-rule and splitting (2182), into two cases. % 19.55/5.16 |-Branch one: % 19.55/5.16 | (1058) all_0_136_136 = e11 % 19.55/5.16 | % 19.55/5.16 | Equations (1058) can reduce 1267 to: % 19.55/5.16 | (1178) ~ (e13 = e11) % 19.55/5.16 | % 19.55/5.16 | Simplifying 1178 yields: % 19.55/5.16 | (349) ~ (e13 = e11) % 19.55/5.16 | % 19.55/5.16 +-Applying beta-rule and splitting (135), into two cases. % 19.55/5.16 |-Branch one: % 19.55/5.16 | (1381) all_0_136_136 = e13 % 19.55/5.16 | % 19.55/5.16 | Combining equations (1058,1381) yields a new equation: % 19.55/5.16 | (1181) e13 = e11 % 19.55/5.16 | % 19.55/5.16 | Equations (1181) can reduce 349 to: % 19.55/5.16 | (423) $false % 19.55/5.16 | % 19.55/5.16 |-The branch is then unsatisfiable % 19.55/5.16 |-Branch two: % 19.55/5.16 | (1267) ~ (all_0_136_136 = e13) % 19.55/5.16 | (1860) all_0_140_140 = e13 | all_0_144_144 = e13 % 19.55/5.16 | % 19.55/5.16 | Equations (1058) can reduce 1267 to: % 19.55/5.16 | (1178) ~ (e13 = e11) % 19.55/5.16 | % 19.55/5.16 | Simplifying 1178 yields: % 19.55/5.16 | (349) ~ (e13 = e11) % 19.55/5.16 | % 19.55/5.16 +-Applying beta-rule and splitting (203), into two cases. % 19.55/5.16 |-Branch one: % 19.55/5.16 | (984) all_0_140_140 = e12 % 19.55/5.16 | % 19.55/5.16 | Equations (984) can reduce 1295 to: % 19.55/5.16 | (423) $false % 19.55/5.16 | % 19.55/5.16 |-The branch is then unsatisfiable % 19.55/5.16 |-Branch two: % 19.55/5.16 | (1295) ~ (all_0_140_140 = e12) % 19.55/5.16 | (1380) all_0_140_140 = e13 | all_0_140_140 = e11 % 19.55/5.16 | % 19.55/5.16 +-Applying beta-rule and splitting (1174), into two cases. % 19.55/5.16 |-Branch one: % 19.55/5.16 | (1381) all_0_136_136 = e13 % 19.55/5.16 | % 19.55/5.16 | Combining equations (1058,1381) yields a new equation: % 19.55/5.16 | (1181) e13 = e11 % 19.55/5.16 | % 19.55/5.16 | Equations (1181) can reduce 349 to: % 19.55/5.16 | (423) $false % 19.55/5.16 | % 19.55/5.17 |-The branch is then unsatisfiable % 19.55/5.17 |-Branch two: % 19.55/5.17 | (1267) ~ (all_0_136_136 = e13) % 19.55/5.17 | (1076) all_0_137_137 = e13 % 19.55/5.17 | % 19.55/5.17 | Equations (1076) can reduce 161 to: % 19.55/5.17 | (1040) ~ (all_0_141_141 = e13) % 19.55/5.17 | % 19.55/5.17 | Simplifying 1040 yields: % 19.55/5.17 | (1041) ~ (all_0_141_141 = e13) % 19.55/5.17 | % 19.55/5.17 | Equations (1076) can reduce 255 to: % 19.55/5.17 | (292) ~ (e13 = e12) % 19.55/5.17 | % 19.55/5.17 | From (1076) and (283) follows: % 19.55/5.17 | (2279) op1(e12, e11) = e13 % 19.55/5.17 | % 19.55/5.17 +-Applying beta-rule and splitting (2201), into two cases. % 19.55/5.17 |-Branch one: % 19.55/5.17 | (1082) all_0_141_141 = e11 % 19.55/5.17 | % 19.55/5.17 | Equations (1082) can reduce 99 to: % 19.55/5.17 | (1051) ~ (e12 = e11) % 19.55/5.17 | % 19.55/5.17 | Simplifying 1051 yields: % 19.55/5.17 | (313) ~ (e12 = e11) % 19.55/5.17 | % 19.55/5.17 +-Applying beta-rule and splitting (1860), into two cases. % 19.55/5.17 |-Branch one: % 19.55/5.17 | (1871) all_0_140_140 = e13 % 19.55/5.17 | % 19.55/5.17 | Equations (1871) can reduce 1295 to: % 19.55/5.17 | (292) ~ (e13 = e12) % 19.55/5.17 | % 19.55/5.17 | Instantiating formula (312) with e12, e11, e13, all_0_121_121 and discharging atoms op1(e12, e11) = all_0_121_121, op1(e12, e11) = e13, yields: % 19.55/5.17 | (2285) all_0_121_121 = e13 % 19.55/5.17 | % 19.55/5.17 | Instantiating formula (312) with e11, e10, e12, all_0_122_122 and discharging atoms op1(e11, e10) = all_0_122_122, op1(e11, e10) = e12, yields: % 19.55/5.17 | (1624) all_0_122_122 = e12 % 19.55/5.17 | % 19.55/5.17 +-Applying beta-rule and splitting (110), into two cases. % 19.55/5.17 |-Branch one: % 19.55/5.17 | (1626) all_0_120_120 = all_0_138_138 % 19.55/5.17 | % 19.55/5.17 | Combining equations (1626,2220) yields a new equation: % 19.55/5.17 | (2288) all_0_138_138 = e12 % 19.55/5.17 | % 19.55/5.17 | Simplifying 2288 yields: % 19.55/5.17 | (973) all_0_138_138 = e12 % 19.55/5.17 | % 19.55/5.17 | Combining equations (973,1239) yields a new equation: % 19.55/5.17 | (1256) e12 = e10 % 19.55/5.17 | % 19.55/5.17 | Simplifying 1256 yields: % 19.55/5.17 | (1004) e12 = e10 % 19.55/5.17 | % 19.55/5.17 | Equations (1004) can reduce 165 to: % 19.55/5.17 | (423) $false % 19.55/5.17 | % 19.55/5.17 |-The branch is then unsatisfiable % 19.55/5.17 |-Branch two: % 19.55/5.17 | (1631) ~ (all_0_120_120 = all_0_138_138) % 19.55/5.17 | (1632) all_0_121_121 = all_0_142_142 | all_0_122_122 = all_0_146_146 % 19.55/5.17 | % 19.55/5.17 +-Applying beta-rule and splitting (1632), into two cases. % 19.55/5.17 |-Branch one: % 19.55/5.17 | (1633) all_0_121_121 = all_0_142_142 % 19.55/5.17 | % 19.55/5.17 | Combining equations (2285,1633) yields a new equation: % 19.55/5.17 | (2296) all_0_142_142 = e13 % 19.55/5.17 | % 19.55/5.17 | Combining equations (1244,2296) yields a new equation: % 19.55/5.17 | (1382) e13 = e12 % 19.55/5.17 | % 19.55/5.17 | Equations (1382) can reduce 292 to: % 19.55/5.17 | (423) $false % 19.55/5.17 | % 19.55/5.17 |-The branch is then unsatisfiable % 19.55/5.17 |-Branch two: % 19.55/5.17 | (1639) ~ (all_0_121_121 = all_0_142_142) % 19.55/5.17 | (1640) all_0_122_122 = all_0_146_146 % 19.55/5.17 | % 19.55/5.17 | Combining equations (1624,1640) yields a new equation: % 19.55/5.17 | (1599) all_0_146_146 = e12 % 19.55/5.17 | % 19.55/5.17 | Combining equations (1599,1048) yields a new equation: % 19.55/5.17 | (1018) e12 = e11 % 19.55/5.17 | % 19.55/5.17 | Simplifying 1018 yields: % 19.55/5.17 | (1019) e12 = e11 % 19.55/5.17 | % 19.55/5.17 | Equations (1019) can reduce 313 to: % 19.55/5.17 | (423) $false % 19.55/5.17 | % 19.55/5.17 |-The branch is then unsatisfiable % 19.55/5.17 |-Branch two: % 19.55/5.17 | (1935) ~ (all_0_140_140 = e13) % 19.55/5.17 | (1072) all_0_144_144 = e13 % 19.55/5.17 | % 19.55/5.17 | Combining equations (1072,1054) yields a new equation: % 19.55/5.17 | (2252) e13 = e12 % 19.55/5.17 | % 19.55/5.17 | Simplifying 2252 yields: % 19.55/5.17 | (1382) e13 = e12 % 19.55/5.17 | % 19.55/5.17 | Equations (1382) can reduce 292 to: % 19.55/5.17 | (423) $false % 19.55/5.17 | % 19.55/5.17 |-The branch is then unsatisfiable % 19.55/5.17 |-Branch two: % 19.55/5.17 | (1151) ~ (all_0_141_141 = e11) % 19.55/5.17 | (1180) all_0_141_141 = e13 % 19.55/5.17 | % 19.55/5.17 | Equations (1180) can reduce 1041 to: % 19.55/5.17 | (423) $false % 19.55/5.17 | % 19.55/5.17 |-The branch is then unsatisfiable % 19.55/5.17 |-Branch two: % 19.55/5.17 | (1197) ~ (all_0_136_136 = e11) % 19.55/5.17 | (1381) all_0_136_136 = e13 % 19.55/5.17 | % 19.55/5.17 | Equations (1381) can reduce 1267 to: % 19.55/5.17 | (423) $false % 19.55/5.17 | % 19.55/5.17 |-The branch is then unsatisfiable % 19.55/5.17 |-Branch two: % 19.55/5.17 | (1269) all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 19.55/5.17 | % 19.55/5.17 | Applying alpha-rule on (1269) yields: % 19.55/5.17 | (1050) ~ (all_0_145_145 = e11) % 19.55/5.17 | (999) ~ (all_0_146_146 = e10) % 19.55/5.17 | (973) all_0_138_138 = e12 % 19.55/5.17 | (962) ~ (all_0_144_144 = e12) % 19.55/5.17 | (1274) ~ (all_0_143_143 = e13) % 19.55/5.17 | % 19.55/5.17 | Combining equations (1239,973) yields a new equation: % 19.55/5.17 | (1004) e12 = e10 % 19.55/5.17 | % 19.55/5.17 | Equations (1004) can reduce 165 to: % 19.55/5.17 | (423) $false % 19.55/5.17 | % 19.55/5.17 |-The branch is then unsatisfiable % 19.55/5.17 |-Branch two: % 19.55/5.17 | (1276) all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10) % 19.55/5.17 | % 19.55/5.17 | Applying alpha-rule on (1276) yields: % 19.55/5.17 | (1277) ~ (all_0_138_138 = e10) % 19.55/5.17 | (1060) ~ (all_0_137_137 = e11) % 19.55/5.17 | (1024) all_0_140_140 = e11 % 19.55/5.17 | (1173) ~ (all_0_135_135 = e13) % 19.55/5.17 | (975) ~ (all_0_136_136 = e12) % 19.55/5.17 | % 19.55/5.17 | Equations (1239) can reduce 1277 to: % 19.55/5.17 | (423) $false % 19.55/5.17 | % 19.55/5.17 |-The branch is then unsatisfiable % 19.55/5.17 |-Branch two: % 19.55/5.17 | (1284) all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 19.55/5.17 | % 19.55/5.17 | Applying alpha-rule on (1284) yields: % 19.55/5.17 | (1050) ~ (all_0_145_145 = e11) % 19.55/5.17 | (999) ~ (all_0_146_146 = e10) % 19.55/5.17 | (1287) ~ (all_0_141_141 = e10) % 19.55/5.17 | (962) ~ (all_0_144_144 = e12) % 19.55/5.17 | (1274) ~ (all_0_143_143 = e13) % 19.55/5.17 | (1043) all_0_142_142 = e11 % 19.55/5.17 | % 19.55/5.17 | Combining equations (1244,1043) yields a new equation: % 19.55/5.17 | (1018) e12 = e11 % 19.55/5.17 | % 19.55/5.17 | Simplifying 1018 yields: % 19.55/5.17 | (1019) e12 = e11 % 19.55/5.17 | % 19.55/5.17 | Equations (1019) can reduce 313 to: % 19.55/5.17 | (423) $false % 19.55/5.17 | % 19.55/5.17 |-The branch is then unsatisfiable % 19.55/5.17 |-Branch two: % 19.55/5.17 | (1292) all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11) % 19.55/5.17 | % 19.55/5.17 | Applying alpha-rule on (1292) yields: % 19.55/5.17 | (1242) ~ (all_0_142_142 = e10) % 19.55/5.17 | (1294) ~ (all_0_146_146 = e11) % 19.55/5.17 | (1295) ~ (all_0_140_140 = e12) % 19.55/5.17 | (1296) ~ (all_0_139_139 = e13) % 19.55/5.17 | (1078) all_0_145_145 = e10 % 19.55/5.17 | (1151) ~ (all_0_141_141 = e11) % 19.55/5.17 | % 19.55/5.17 | Equations (1048) can reduce 1294 to: % 19.55/5.17 | (423) $false % 19.55/5.17 | % 19.55/5.17 |-The branch is then unsatisfiable % 19.55/5.17 |-Branch two: % 19.55/5.17 | (1300) ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 19.55/5.17 | % 19.55/5.17 | Applying alpha-rule on (1300) yields: % 19.55/5.17 | (1274) ~ (all_0_143_143 = e13) % 19.55/5.17 | (962) ~ (all_0_144_144 = e12) % 19.55/5.17 | (1050) ~ (all_0_145_145 = e11) % 19.55/5.17 | (999) ~ (all_0_146_146 = e10) % 19.55/5.17 | % 19.55/5.17 | Equations (1054) can reduce 962 to: % 19.55/5.17 | (423) $false % 19.55/5.17 | % 19.55/5.17 |-The branch is then unsatisfiable % 19.55/5.17 |-Branch two: % 19.55/5.17 | (987) ~ (all_0_142_142 = e12) % 19.55/5.17 | (1043) all_0_142_142 = e11 % 19.55/5.17 | % 19.55/5.17 | Equations (1043) can reduce 1047 to: % 19.55/5.17 | (423) $false % 19.55/5.17 | % 19.55/5.17 |-The branch is then unsatisfiable % 19.90/5.17 |-Branch two: % 19.90/5.17 | (962) ~ (all_0_144_144 = e12) % 19.90/5.17 | (1057) all_0_144_144 = e13 | all_0_144_144 = e11 % 19.90/5.17 | % 19.90/5.17 +-Applying beta-rule and splitting (1716), into two cases. % 19.90/5.17 |-Branch one: % 19.90/5.17 | (1054) all_0_144_144 = e12 % 19.90/5.17 | % 19.90/5.17 | Equations (1054) can reduce 962 to: % 19.90/5.17 | (423) $false % 19.90/5.17 | % 19.90/5.17 |-The branch is then unsatisfiable % 19.90/5.17 |-Branch two: % 19.90/5.17 | (962) ~ (all_0_144_144 = e12) % 19.90/5.17 | (1599) all_0_146_146 = e12 % 19.90/5.17 | % 19.90/5.17 | Equations (1599) can reduce 94 to: % 19.90/5.17 | (962) ~ (all_0_144_144 = e12) % 19.90/5.17 | % 19.90/5.17 +-Applying beta-rule and splitting (983), into two cases. % 19.90/5.17 |-Branch one: % 19.90/5.17 | (984) all_0_140_140 = e12 % 19.90/5.17 | % 19.90/5.17 | Equations (984) can reduce 266 to: % 19.90/5.17 | (975) ~ (all_0_136_136 = e12) % 19.90/5.17 | % 19.90/5.18 | Equations (984) can reduce 11 to: % 19.90/5.18 | (986) ~ (all_0_142_142 = e12) % 19.90/5.18 | % 19.90/5.18 | Simplifying 986 yields: % 19.90/5.18 | (987) ~ (all_0_142_142 = e12) % 19.90/5.18 | % 19.90/5.18 | Equations (984) can reduce 48 to: % 19.90/5.18 | (961) ~ (all_0_144_144 = e12) % 19.90/5.18 | % 19.90/5.18 | Simplifying 961 yields: % 19.90/5.18 | (962) ~ (all_0_144_144 = e12) % 19.90/5.18 | % 19.90/5.18 | Equations (984) can reduce 222 to: % 19.90/5.18 | (165) ~ (e12 = e10) % 19.90/5.18 | % 19.90/5.18 +-Applying beta-rule and splitting (163), into two cases. % 19.90/5.18 |-Branch one: % 19.90/5.18 | (1069) all_0_144_144 = e11 % 19.90/5.18 | % 19.90/5.18 | Equations (1069) can reduce 962 to: % 19.90/5.18 | (1051) ~ (e12 = e11) % 19.90/5.18 | % 19.90/5.18 | Simplifying 1051 yields: % 19.90/5.18 | (313) ~ (e12 = e11) % 19.90/5.18 | % 19.90/5.18 +-Applying beta-rule and splitting (135), into two cases. % 19.90/5.18 |-Branch one: % 19.90/5.18 | (1381) all_0_136_136 = e13 % 19.90/5.18 | % 19.90/5.18 | Equations (1381) can reduce 220 to: % 19.90/5.18 | (1540) ~ (all_0_137_137 = e13) % 19.90/5.18 | % 19.90/5.18 | Simplifying 1540 yields: % 19.90/5.18 | (1163) ~ (all_0_137_137 = e13) % 19.90/5.18 | % 19.90/5.18 | Equations (1381) can reduce 32 to: % 19.90/5.18 | (197) ~ (e13 = e10) % 19.90/5.18 | % 19.90/5.18 +-Applying beta-rule and splitting (56), into two cases. % 19.90/5.18 |-Branch one: % 19.90/5.18 | (1076) all_0_137_137 = e13 % 19.90/5.18 | % 19.90/5.18 | Equations (1076) can reduce 1163 to: % 19.90/5.18 | (423) $false % 19.90/5.18 | % 19.90/5.18 |-The branch is then unsatisfiable % 19.90/5.18 |-Branch two: % 19.90/5.18 | (1163) ~ (all_0_137_137 = e13) % 19.90/5.18 | (1164) all_0_141_141 = e13 | all_0_145_145 = e13 % 19.90/5.18 | % 19.90/5.18 +-Applying beta-rule and splitting (244), into two cases. % 19.90/5.18 |-Branch one: % 19.90/5.18 | (1039) all_0_139_139 = e13 % 19.90/5.18 | % 19.90/5.18 | Combining equations (1013,1039) yields a new equation: % 19.90/5.18 | (1171) e13 = e10 % 19.90/5.18 | % 19.90/5.18 | Equations (1171) can reduce 197 to: % 19.90/5.18 | (423) $false % 19.90/5.18 | % 19.90/5.18 |-The branch is then unsatisfiable % 19.90/5.18 |-Branch two: % 19.90/5.18 | (1296) ~ (all_0_139_139 = e13) % 19.90/5.18 | (2387) all_0_140_140 = e13 | all_0_141_141 = e13 % 19.90/5.18 | % 19.90/5.18 | Equations (1013) can reduce 1296 to: % 19.90/5.18 | (1166) ~ (e13 = e10) % 19.90/5.18 | % 19.90/5.18 | Simplifying 1166 yields: % 19.90/5.18 | (197) ~ (e13 = e10) % 19.90/5.18 | % 19.90/5.18 +-Applying beta-rule and splitting (1164), into two cases. % 19.90/5.18 |-Branch one: % 19.90/5.18 | (1180) all_0_141_141 = e13 % 19.90/5.18 | % 19.90/5.18 | Equations (1180) can reduce 1287 to: % 19.90/5.18 | (197) ~ (e13 = e10) % 19.90/5.18 | % 19.90/5.18 +-Applying beta-rule and splitting (1243), into two cases. % 19.90/5.18 |-Branch one: % 19.90/5.18 | (1244) all_0_142_142 = e12 % 19.90/5.18 | % 19.90/5.18 | Equations (1244) can reduce 987 to: % 19.90/5.18 | (423) $false % 19.90/5.18 | % 19.90/5.18 |-The branch is then unsatisfiable % 19.90/5.18 |-Branch two: % 19.90/5.18 | (987) ~ (all_0_142_142 = e12) % 19.90/5.18 | (1043) all_0_142_142 = e11 % 19.90/5.18 | % 19.90/5.18 | Equations (1043) can reduce 987 to: % 19.90/5.18 | (1051) ~ (e12 = e11) % 19.90/5.18 | % 19.90/5.18 | Simplifying 1051 yields: % 19.90/5.18 | (313) ~ (e12 = e11) % 19.90/5.18 | % 19.90/5.18 +-Applying beta-rule and splitting (335), into two cases. % 19.90/5.18 |-Branch one: % 19.90/5.18 | (1003) all_0_143_143 = e10 % 19.90/5.18 | % 19.90/5.18 | Combining equations (1759,1003) yields a new equation: % 19.90/5.18 | (1390) e13 = e10 % 19.90/5.18 | % 19.90/5.18 | Simplifying 1390 yields: % 19.90/5.18 | (1171) e13 = e10 % 19.90/5.18 | % 19.90/5.18 | Equations (1171) can reduce 197 to: % 19.90/5.18 | (423) $false % 19.90/5.18 | % 19.90/5.18 |-The branch is then unsatisfiable % 19.90/5.18 |-Branch two: % 19.90/5.18 | (1006) ~ (all_0_143_143 = e10) % 19.90/5.18 | (1260) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11)) | ( ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 19.90/5.18 | % 19.90/5.18 +-Applying beta-rule and splitting (1260), into two cases. % 19.90/5.18 |-Branch one: % 19.90/5.18 | (1261) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11)) % 19.90/5.18 | % 19.90/5.18 +-Applying beta-rule and splitting (1261), into two cases. % 19.90/5.18 |-Branch one: % 19.90/5.18 | (1262) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 19.90/5.18 | % 19.90/5.18 +-Applying beta-rule and splitting (1262), into two cases. % 19.90/5.18 |-Branch one: % 19.90/5.18 | (1263) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) % 19.90/5.18 | % 19.90/5.18 +-Applying beta-rule and splitting (1263), into two cases. % 19.90/5.18 |-Branch one: % 19.90/5.18 | (1264) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 19.90/5.18 | % 19.90/5.18 +-Applying beta-rule and splitting (1264), into two cases. % 19.90/5.18 |-Branch one: % 19.90/5.18 | (1265) all_0_135_135 = e12 & ~ (all_0_136_136 = e13) % 19.90/5.18 | % 19.90/5.18 | Applying alpha-rule on (1265) yields: % 19.90/5.18 | (1266) all_0_135_135 = e12 % 19.90/5.18 | (1267) ~ (all_0_136_136 = e13) % 19.90/5.18 | % 19.90/5.18 | Equations (1381) can reduce 1267 to: % 19.90/5.18 | (423) $false % 19.90/5.18 | % 19.90/5.18 |-The branch is then unsatisfiable % 19.90/5.18 |-Branch two: % 19.90/5.18 | (1269) all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 19.90/5.18 | % 19.90/5.18 | Applying alpha-rule on (1269) yields: % 19.90/5.18 | (1050) ~ (all_0_145_145 = e11) % 19.90/5.18 | (999) ~ (all_0_146_146 = e10) % 19.90/5.18 | (973) all_0_138_138 = e12 % 19.90/5.18 | (962) ~ (all_0_144_144 = e12) % 19.90/5.18 | (1274) ~ (all_0_143_143 = e13) % 19.90/5.18 | % 19.90/5.18 | Combining equations (973,1239) yields a new equation: % 19.90/5.18 | (1256) e12 = e10 % 19.90/5.18 | % 19.90/5.18 | Simplifying 1256 yields: % 19.90/5.18 | (1004) e12 = e10 % 19.90/5.18 | % 19.90/5.18 | Equations (1004) can reduce 165 to: % 19.90/5.18 | (423) $false % 19.90/5.18 | % 19.90/5.18 |-The branch is then unsatisfiable % 19.90/5.18 |-Branch two: % 19.90/5.18 | (1276) all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10) % 19.90/5.18 | % 19.90/5.18 | Applying alpha-rule on (1276) yields: % 19.90/5.18 | (1277) ~ (all_0_138_138 = e10) % 19.90/5.18 | (1060) ~ (all_0_137_137 = e11) % 19.90/5.18 | (1024) all_0_140_140 = e11 % 19.90/5.18 | (1173) ~ (all_0_135_135 = e13) % 19.90/5.18 | (975) ~ (all_0_136_136 = e12) % 19.90/5.18 | % 19.90/5.18 | Combining equations (984,1024) yields a new equation: % 19.90/5.18 | (1018) e12 = e11 % 19.90/5.18 | % 19.90/5.18 | Simplifying 1018 yields: % 19.90/5.18 | (1019) e12 = e11 % 19.90/5.18 | % 19.90/5.18 | Equations (1019) can reduce 313 to: % 19.90/5.18 | (423) $false % 19.90/5.18 | % 19.90/5.18 |-The branch is then unsatisfiable % 19.90/5.18 |-Branch two: % 19.90/5.18 | (1284) all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 19.90/5.18 | % 19.90/5.18 | Applying alpha-rule on (1284) yields: % 19.90/5.18 | (1050) ~ (all_0_145_145 = e11) % 19.90/5.18 | (999) ~ (all_0_146_146 = e10) % 19.90/5.18 | (1287) ~ (all_0_141_141 = e10) % 19.90/5.18 | (962) ~ (all_0_144_144 = e12) % 19.90/5.18 | (1274) ~ (all_0_143_143 = e13) % 19.90/5.18 | (1043) all_0_142_142 = e11 % 19.90/5.18 | % 19.90/5.18 | Equations (1759) can reduce 1274 to: % 19.90/5.18 | (423) $false % 19.90/5.18 | % 19.90/5.18 |-The branch is then unsatisfiable % 19.90/5.18 |-Branch two: % 19.90/5.18 | (1292) all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11) % 19.90/5.18 | % 19.90/5.18 | Applying alpha-rule on (1292) yields: % 19.90/5.18 | (1242) ~ (all_0_142_142 = e10) % 19.90/5.18 | (1294) ~ (all_0_146_146 = e11) % 19.90/5.18 | (1295) ~ (all_0_140_140 = e12) % 19.90/5.18 | (1296) ~ (all_0_139_139 = e13) % 19.90/5.18 | (1078) all_0_145_145 = e10 % 19.90/5.18 | (1151) ~ (all_0_141_141 = e11) % 19.90/5.18 | % 19.90/5.18 | Equations (984) can reduce 1295 to: % 19.90/5.18 | (423) $false % 19.90/5.18 | % 19.90/5.18 |-The branch is then unsatisfiable % 19.90/5.18 |-Branch two: % 19.90/5.18 | (1300) ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 19.90/5.18 | % 19.90/5.18 | Applying alpha-rule on (1300) yields: % 19.90/5.18 | (1274) ~ (all_0_143_143 = e13) % 19.90/5.18 | (962) ~ (all_0_144_144 = e12) % 19.93/5.18 | (1050) ~ (all_0_145_145 = e11) % 19.93/5.18 | (999) ~ (all_0_146_146 = e10) % 19.93/5.18 | % 19.93/5.18 | Equations (1759) can reduce 1274 to: % 19.93/5.18 | (423) $false % 19.93/5.18 | % 19.93/5.18 |-The branch is then unsatisfiable % 19.93/5.18 |-Branch two: % 19.93/5.18 | (1041) ~ (all_0_141_141 = e13) % 19.93/5.18 | (1184) all_0_145_145 = e13 % 19.93/5.18 | % 19.93/5.18 | Combining equations (1078,1184) yields a new equation: % 19.93/5.18 | (1171) e13 = e10 % 19.93/5.18 | % 19.93/5.18 | Equations (1171) can reduce 197 to: % 19.93/5.18 | (423) $false % 19.93/5.18 | % 19.93/5.18 |-The branch is then unsatisfiable % 19.93/5.18 |-Branch two: % 19.93/5.18 | (1267) ~ (all_0_136_136 = e13) % 19.93/5.18 | (1860) all_0_140_140 = e13 | all_0_144_144 = e13 % 19.93/5.18 | % 19.93/5.18 +-Applying beta-rule and splitting (1022), into two cases. % 19.93/5.18 |-Branch one: % 19.93/5.18 | (1043) all_0_142_142 = e11 % 19.93/5.18 | % 19.93/5.18 | Equations (1043) can reduce 117 to: % 19.93/5.18 | (1151) ~ (all_0_141_141 = e11) % 19.93/5.18 | % 19.93/5.18 +-Applying beta-rule and splitting (113), into two cases. % 19.93/5.18 |-Branch one: % 19.93/5.18 | (1065) all_0_137_137 = e11 % 19.93/5.18 | % 19.93/5.18 | Equations (1065) can reduce 220 to: % 19.93/5.18 | (1197) ~ (all_0_136_136 = e11) % 19.93/5.18 | % 19.93/5.18 +-Applying beta-rule and splitting (2182), into two cases. % 19.93/5.18 |-Branch one: % 19.93/5.18 | (1058) all_0_136_136 = e11 % 19.93/5.18 | % 19.93/5.18 | Equations (1058) can reduce 1197 to: % 19.93/5.18 | (423) $false % 19.93/5.18 | % 19.93/5.18 |-The branch is then unsatisfiable % 19.93/5.18 |-Branch two: % 19.93/5.18 | (1197) ~ (all_0_136_136 = e11) % 19.93/5.18 | (1381) all_0_136_136 = e13 % 19.93/5.18 | % 19.93/5.18 | Equations (1381) can reduce 1267 to: % 19.93/5.18 | (423) $false % 19.93/5.18 | % 19.93/5.18 |-The branch is then unsatisfiable % 19.93/5.18 |-Branch two: % 19.93/5.18 | (1060) ~ (all_0_137_137 = e11) % 19.93/5.19 | (1068) all_0_141_141 = e11 | all_0_145_145 = e11 % 19.93/5.19 | % 19.93/5.19 +-Applying beta-rule and splitting (1864), into two cases. % 19.93/5.19 |-Branch one: % 19.93/5.19 | (1065) all_0_137_137 = e11 % 19.93/5.19 | % 19.93/5.19 | Equations (1065) can reduce 1060 to: % 19.93/5.19 | (423) $false % 19.93/5.19 | % 19.93/5.19 |-The branch is then unsatisfiable % 19.93/5.19 |-Branch two: % 19.93/5.19 | (1060) ~ (all_0_137_137 = e11) % 19.93/5.19 | (1076) all_0_137_137 = e13 % 19.93/5.19 | % 19.93/5.19 | Equations (1076) can reduce 161 to: % 19.93/5.19 | (1040) ~ (all_0_141_141 = e13) % 19.93/5.19 | % 19.93/5.19 | Simplifying 1040 yields: % 19.93/5.19 | (1041) ~ (all_0_141_141 = e13) % 19.93/5.19 | % 19.93/5.19 +-Applying beta-rule and splitting (2201), into two cases. % 19.93/5.19 |-Branch one: % 19.93/5.19 | (1082) all_0_141_141 = e11 % 19.93/5.19 | % 19.93/5.19 | Equations (1082) can reduce 1151 to: % 19.93/5.19 | (423) $false % 19.93/5.19 | % 19.93/5.19 |-The branch is then unsatisfiable % 19.93/5.19 |-Branch two: % 19.93/5.19 | (1151) ~ (all_0_141_141 = e11) % 19.93/5.19 | (1180) all_0_141_141 = e13 % 19.93/5.19 | % 19.93/5.19 | Equations (1180) can reduce 1041 to: % 19.93/5.19 | (423) $false % 19.93/5.19 | % 19.93/5.19 |-The branch is then unsatisfiable % 19.93/5.19 |-Branch two: % 19.93/5.19 | (1047) ~ (all_0_142_142 = e11) % 19.93/5.19 | (1048) all_0_146_146 = e11 % 19.93/5.19 | % 19.93/5.19 | Combining equations (1048,1599) yields a new equation: % 19.93/5.19 | (1019) e12 = e11 % 19.93/5.19 | % 19.93/5.19 | Equations (1019) can reduce 313 to: % 19.93/5.19 | (423) $false % 19.93/5.19 | % 19.93/5.19 |-The branch is then unsatisfiable % 19.93/5.19 |-Branch two: % 19.93/5.19 | (1049) ~ (all_0_144_144 = e11) % 19.93/5.19 | (1439) all_0_145_145 = e11 | all_0_146_146 = e11 % 19.93/5.19 | % 19.93/5.19 +-Applying beta-rule and splitting (1243), into two cases. % 19.93/5.19 |-Branch one: % 19.93/5.19 | (1244) all_0_142_142 = e12 % 19.93/5.19 | % 19.93/5.19 | Equations (1244) can reduce 987 to: % 19.93/5.19 | (423) $false % 19.93/5.19 | % 19.93/5.19 |-The branch is then unsatisfiable % 19.93/5.19 |-Branch two: % 19.93/5.19 | (987) ~ (all_0_142_142 = e12) % 19.93/5.19 | (1043) all_0_142_142 = e11 % 19.93/5.19 | % 19.93/5.19 | Equations (1043) can reduce 1242 to: % 19.93/5.19 | (297) ~ (e11 = e10) % 19.93/5.19 | % 19.93/5.19 +-Applying beta-rule and splitting (113), into two cases. % 19.93/5.19 |-Branch one: % 19.93/5.19 | (1065) all_0_137_137 = e11 % 19.93/5.19 | % 19.93/5.19 | Equations (1065) can reduce 255 to: % 19.93/5.19 | (1051) ~ (e12 = e11) % 19.93/5.19 | % 19.93/5.19 | Simplifying 1051 yields: % 19.93/5.19 | (313) ~ (e12 = e11) % 19.93/5.19 | % 19.93/5.19 | Equations (1065) can reduce 1238 to: % 19.93/5.19 | (297) ~ (e11 = e10) % 19.93/5.19 | % 19.93/5.19 +-Applying beta-rule and splitting (1439), into two cases. % 19.93/5.19 |-Branch one: % 19.93/5.19 | (1188) all_0_145_145 = e11 % 19.93/5.19 | % 19.93/5.19 | Combining equations (1078,1188) yields a new equation: % 19.93/5.19 | (1045) e11 = e10 % 19.93/5.19 | % 19.93/5.19 | Equations (1045) can reduce 297 to: % 19.93/5.19 | (423) $false % 19.93/5.19 | % 19.93/5.19 |-The branch is then unsatisfiable % 19.93/5.19 |-Branch two: % 19.93/5.19 | (1050) ~ (all_0_145_145 = e11) % 19.93/5.19 | (1048) all_0_146_146 = e11 % 19.93/5.19 | % 19.93/5.19 | Combining equations (1048,1599) yields a new equation: % 19.93/5.19 | (1019) e12 = e11 % 19.93/5.19 | % 19.93/5.19 | Equations (1019) can reduce 313 to: % 19.93/5.19 | (423) $false % 19.93/5.19 | % 19.93/5.19 |-The branch is then unsatisfiable % 19.93/5.19 |-Branch two: % 19.93/5.19 | (1060) ~ (all_0_137_137 = e11) % 19.93/5.19 | (1068) all_0_141_141 = e11 | all_0_145_145 = e11 % 19.93/5.19 | % 19.93/5.19 +-Applying beta-rule and splitting (268), into two cases. % 19.93/5.19 |-Branch one: % 19.93/5.19 | (1058) all_0_136_136 = e11 % 19.93/5.19 | % 19.93/5.19 | Equations (1058) can reduce 975 to: % 19.93/5.19 | (1051) ~ (e12 = e11) % 19.93/5.19 | % 19.93/5.19 | Simplifying 1051 yields: % 19.93/5.19 | (313) ~ (e12 = e11) % 19.93/5.19 | % 19.93/5.19 | Equations (1058) can reduce 32 to: % 19.93/5.19 | (297) ~ (e11 = e10) % 19.93/5.19 | % 19.93/5.19 +-Applying beta-rule and splitting (1439), into two cases. % 19.93/5.19 |-Branch one: % 19.93/5.19 | (1188) all_0_145_145 = e11 % 19.93/5.19 | % 19.93/5.19 | Combining equations (1188,1078) yields a new equation: % 19.93/5.19 | (1044) e11 = e10 % 19.93/5.19 | % 19.93/5.19 | Simplifying 1044 yields: % 19.93/5.19 | (1045) e11 = e10 % 19.93/5.19 | % 19.93/5.19 | Equations (1045) can reduce 297 to: % 19.93/5.19 | (423) $false % 19.93/5.19 | % 19.93/5.19 |-The branch is then unsatisfiable % 19.93/5.19 |-Branch two: % 19.93/5.19 | (1050) ~ (all_0_145_145 = e11) % 19.93/5.19 | (1048) all_0_146_146 = e11 % 19.93/5.19 | % 19.93/5.19 | Combining equations (1599,1048) yields a new equation: % 19.93/5.19 | (1018) e12 = e11 % 19.93/5.19 | % 19.93/5.19 | Simplifying 1018 yields: % 19.93/5.19 | (1019) e12 = e11 % 19.93/5.19 | % 19.93/5.19 | Equations (1019) can reduce 313 to: % 19.93/5.19 | (423) $false % 19.93/5.19 | % 19.93/5.19 |-The branch is then unsatisfiable % 19.93/5.19 |-Branch two: % 19.93/5.19 | (1197) ~ (all_0_136_136 = e11) % 19.93/5.19 | (1202) all_0_137_137 = e11 | all_0_138_138 = e11 % 19.93/5.19 | % 19.93/5.19 +-Applying beta-rule and splitting (1202), into two cases. % 19.93/5.19 |-Branch one: % 19.93/5.19 | (1065) all_0_137_137 = e11 % 19.93/5.19 | % 19.93/5.19 | Equations (1065) can reduce 1060 to: % 19.93/5.19 | (423) $false % 19.93/5.19 | % 19.93/5.19 |-The branch is then unsatisfiable % 19.93/5.19 |-Branch two: % 19.93/5.19 | (1060) ~ (all_0_137_137 = e11) % 19.93/5.19 | (1017) all_0_138_138 = e11 % 19.93/5.19 | % 19.93/5.19 | Combining equations (1017,1239) yields a new equation: % 19.93/5.19 | (1044) e11 = e10 % 19.93/5.19 | % 19.93/5.19 | Simplifying 1044 yields: % 19.93/5.19 | (1045) e11 = e10 % 19.93/5.19 | % 19.93/5.19 | Equations (1045) can reduce 297 to: % 19.93/5.19 | (423) $false % 19.93/5.19 | % 19.93/5.19 |-The branch is then unsatisfiable % 19.93/5.19 |-Branch two: % 19.93/5.19 | (1295) ~ (all_0_140_140 = e12) % 19.93/5.19 | (1054) all_0_144_144 = e12 % 19.93/5.19 | % 19.93/5.19 | Equations (1054) can reduce 962 to: % 19.93/5.19 | (423) $false % 19.93/5.19 | % 19.93/5.19 |-The branch is then unsatisfiable % 19.93/5.19 |-Branch two: % 19.93/5.19 | (1277) ~ (all_0_138_138 = e10) % 19.93/5.19 | (1313) all_0_142_142 = e10 | all_0_146_146 = e10 % 19.93/5.19 | % 19.93/5.19 +-Applying beta-rule and splitting (46), into two cases. % 19.93/5.19 |-Branch one: % 19.93/5.19 | (1239) all_0_138_138 = e10 % 19.93/5.19 | % 19.93/5.19 | Equations (1239) can reduce 1277 to: % 19.93/5.19 | (423) $false % 19.93/5.19 | % 19.93/5.19 |-The branch is then unsatisfiable % 19.93/5.19 |-Branch two: % 19.93/5.19 | (1277) ~ (all_0_138_138 = e10) % 19.93/5.19 | (2077) all_0_138_138 = e12 | all_0_138_138 = e11 % 19.93/5.19 | % 19.93/5.19 +-Applying beta-rule and splitting (2077), into two cases. % 19.93/5.19 |-Branch one: % 19.93/5.19 | (973) all_0_138_138 = e12 % 19.93/5.19 | % 19.93/5.19 | Equations (973) can reduce 1324 to: % 19.93/5.19 | (423) $false % 19.93/5.19 | % 19.93/5.19 |-The branch is then unsatisfiable % 19.93/5.19 |-Branch two: % 19.93/5.19 | (1324) ~ (all_0_138_138 = e12) % 19.93/5.19 | (1017) all_0_138_138 = e11 % 19.93/5.19 | % 19.93/5.19 | Equations (1017) can reduce 50 to: % 19.93/5.19 | (2539) ~ (all_0_146_146 = e11) % 19.93/5.19 | % 19.93/5.19 | Simplifying 2539 yields: % 19.93/5.19 | (1294) ~ (all_0_146_146 = e11) % 19.93/5.19 | % 19.93/5.19 +-Applying beta-rule and splitting (224), into two cases. % 19.93/5.19 |-Branch one: % 19.93/5.19 | (1009) all_0_146_146 = e10 % 19.93/5.19 | % 19.93/5.19 | Equations (1009) can reduce 999 to: % 19.93/5.19 | (423) $false % 19.93/5.19 | % 19.93/5.19 |-The branch is then unsatisfiable % 19.93/5.19 |-Branch two: % 19.93/5.19 | (999) ~ (all_0_146_146 = e10) % 19.93/5.19 | (1012) all_0_146_146 = e12 | all_0_146_146 = e11 % 19.93/5.19 | % 19.93/5.19 +-Applying beta-rule and splitting (1012), into two cases. % 19.93/5.19 |-Branch one: % 19.93/5.19 | (1599) all_0_146_146 = e12 % 19.93/5.19 | % 19.93/5.19 | Equations (1599) can reduce 94 to: % 19.93/5.19 | (962) ~ (all_0_144_144 = e12) % 19.93/5.19 | % 19.93/5.19 +-Applying beta-rule and splitting (263), into two cases. % 19.93/5.19 |-Branch one: % 19.93/5.19 | (980) all_0_136_136 = e12 % 19.93/5.19 | % 19.93/5.19 | Equations (980) can reduce 975 to: % 19.93/5.19 | (423) $false % 19.93/5.19 | % 19.93/5.19 |-The branch is then unsatisfiable % 19.93/5.19 |-Branch two: % 19.93/5.19 | (975) ~ (all_0_136_136 = e12) % 19.93/5.19 | (983) all_0_140_140 = e12 | all_0_144_144 = e12 % 19.93/5.19 | % 19.93/5.19 +-Applying beta-rule and splitting (334), into two cases. % 19.93/5.19 |-Branch one: % 19.93/5.19 | (1054) all_0_144_144 = e12 % 19.93/5.19 | % 19.93/5.19 | Equations (1054) can reduce 962 to: % 19.93/5.19 | (423) $false % 19.93/5.19 | % 19.93/5.19 |-The branch is then unsatisfiable % 19.93/5.19 |-Branch two: % 19.93/5.19 | (962) ~ (all_0_144_144 = e12) % 19.93/5.19 | (1057) all_0_144_144 = e13 | all_0_144_144 = e11 % 19.93/5.19 | % 19.93/5.19 +-Applying beta-rule and splitting (983), into two cases. % 19.93/5.19 |-Branch one: % 19.93/5.19 | (984) all_0_140_140 = e12 % 19.93/5.19 | % 19.93/5.19 | Equations (984) can reduce 222 to: % 19.93/5.19 | (165) ~ (e12 = e10) % 19.93/5.19 | % 19.93/5.19 +-Applying beta-rule and splitting (1313), into two cases. % 19.93/5.19 |-Branch one: % 19.93/5.19 | (996) all_0_142_142 = e10 % 19.93/5.19 | % 19.93/5.19 | Equations (996) can reduce 1242 to: % 19.93/5.19 | (423) $false % 19.93/5.19 | % 19.93/5.19 |-The branch is then unsatisfiable % 19.93/5.19 |-Branch two: % 19.93/5.19 | (1242) ~ (all_0_142_142 = e10) % 19.93/5.19 | (1009) all_0_146_146 = e10 % 19.93/5.19 | % 19.93/5.19 | Combining equations (1009,1599) yields a new equation: % 19.93/5.19 | (1004) e12 = e10 % 19.93/5.19 | % 19.93/5.19 | Equations (1004) can reduce 165 to: % 19.93/5.19 | (423) $false % 19.93/5.19 | % 19.93/5.19 |-The branch is then unsatisfiable % 19.93/5.19 |-Branch two: % 19.93/5.19 | (1295) ~ (all_0_140_140 = e12) % 19.93/5.19 | (1054) all_0_144_144 = e12 % 19.93/5.19 | % 19.93/5.19 | Equations (1054) can reduce 962 to: % 19.93/5.19 | (423) $false % 19.93/5.19 | % 19.93/5.19 |-The branch is then unsatisfiable % 19.93/5.19 |-Branch two: % 19.93/5.19 | (966) ~ (all_0_146_146 = e12) % 19.93/5.19 | (1048) all_0_146_146 = e11 % 19.93/5.19 | % 19.93/5.19 | Equations (1048) can reduce 1294 to: % 19.93/5.19 | (423) $false % 19.93/5.19 | % 19.93/5.19 |-The branch is then unsatisfiable % 19.93/5.20 |-Branch two: % 19.93/5.20 | (1155) ~ (all_0_145_145 = e10) % 19.93/5.20 | (1156) all_0_145_145 = e13 | all_0_145_145 = e11 % 19.93/5.20 | % 19.93/5.20 +-Applying beta-rule and splitting (232), into two cases. % 19.93/5.20 |-Branch one: % 19.93/5.20 | (1003) all_0_143_143 = e10 % 19.93/5.20 | % 19.93/5.20 | Combining equations (1003,1759) yields a new equation: % 19.93/5.20 | (1171) e13 = e10 % 19.93/5.20 | % 19.93/5.20 | Equations (1171) can reduce 197 to: % 19.93/5.20 | (423) $false % 19.93/5.20 | % 19.93/5.20 |-The branch is then unsatisfiable % 19.93/5.20 |-Branch two: % 19.93/5.20 | (1006) ~ (all_0_143_143 = e10) % 19.93/5.20 | (1007) all_0_145_145 = e10 | all_0_146_146 = e10 % 19.93/5.20 | % 19.93/5.20 +-Applying beta-rule and splitting (1156), into two cases. % 19.93/5.20 |-Branch one: % 19.93/5.20 | (1188) all_0_145_145 = e11 % 19.93/5.20 | % 19.93/5.20 | Equations (1188) can reduce 82 to: % 19.93/5.20 | (1060) ~ (all_0_137_137 = e11) % 19.93/5.20 | % 19.93/5.20 | Equations (1188) can reduce 305 to: % 19.93/5.20 | (1151) ~ (all_0_141_141 = e11) % 19.93/5.20 | % 19.93/5.20 | Equations (1188) can reduce 1155 to: % 19.93/5.20 | (297) ~ (e11 = e10) % 19.93/5.20 | % 19.93/5.20 +-Applying beta-rule and splitting (21), into two cases. % 19.93/5.20 |-Branch one: % 19.93/5.20 | (1230) all_0_137_137 = e10 % 19.93/5.20 | % 19.93/5.20 | Equations (1230) can reduce 220 to: % 19.93/5.20 | (32) ~ (all_0_136_136 = e10) % 19.93/5.20 | % 19.93/5.20 | Equations (1230) can reduce 161 to: % 19.93/5.20 | (2167) ~ (all_0_141_141 = e10) % 19.93/5.20 | % 19.93/5.20 | Simplifying 2167 yields: % 19.93/5.20 | (1287) ~ (all_0_141_141 = e10) % 19.93/5.20 | % 19.93/5.20 | Equations (1230) can reduce 1060 to: % 19.93/5.20 | (1033) ~ (e11 = e10) % 19.93/5.20 | % 19.93/5.20 | Simplifying 1033 yields: % 19.93/5.20 | (297) ~ (e11 = e10) % 19.93/5.20 | % 19.93/5.20 +-Applying beta-rule and splitting (111), into two cases. % 19.93/5.20 |-Branch one: % 19.93/5.20 | (1395) all_0_141_141 = e10 % 19.93/5.20 | % 19.93/5.20 | Equations (1395) can reduce 1287 to: % 19.93/5.20 | (423) $false % 19.93/5.20 | % 19.93/5.20 |-The branch is then unsatisfiable % 19.93/5.20 |-Branch two: % 19.93/5.20 | (1287) ~ (all_0_141_141 = e10) % 19.93/5.20 | (2201) all_0_141_141 = e13 | all_0_141_141 = e11 % 19.93/5.20 | % 19.93/5.20 +-Applying beta-rule and splitting (1007), into two cases. % 19.93/5.20 |-Branch one: % 19.93/5.20 | (1078) all_0_145_145 = e10 % 19.93/5.20 | % 19.93/5.20 | Combining equations (1078,1188) yields a new equation: % 19.93/5.20 | (1045) e11 = e10 % 19.93/5.20 | % 19.93/5.20 | Equations (1045) can reduce 297 to: % 19.93/5.20 | (423) $false % 19.93/5.20 | % 19.93/5.20 |-The branch is then unsatisfiable % 19.93/5.20 |-Branch two: % 19.93/5.20 | (1155) ~ (all_0_145_145 = e10) % 19.93/5.20 | (1009) all_0_146_146 = e10 % 19.93/5.20 | % 19.93/5.20 | Equations (1009) can reduce 94 to: % 19.93/5.20 | (139) ~ (all_0_144_144 = e10) % 19.93/5.20 | % 19.93/5.20 +-Applying beta-rule and splitting (334), into two cases. % 19.93/5.20 |-Branch one: % 19.93/5.20 | (1054) all_0_144_144 = e12 % 19.93/5.20 | % 19.93/5.20 | Equations (1054) can reduce 48 to: % 19.93/5.20 | (1295) ~ (all_0_140_140 = e12) % 19.93/5.20 | % 19.93/5.20 | Equations (1054) can reduce 1813 to: % 19.93/5.20 | (1849) ~ (e13 = e12) % 19.93/5.20 | % 19.93/5.20 | Simplifying 1849 yields: % 19.93/5.20 | (292) ~ (e13 = e12) % 19.93/5.20 | % 19.93/5.20 | Equations (1054) can reduce 139 to: % 19.93/5.20 | (165) ~ (e12 = e10) % 19.93/5.20 | % 19.93/5.20 | From (1054) and (49) follows: % 19.93/5.20 | (2601) op1(e12, e10) = all_0_116_116 % 19.93/5.20 | % 19.93/5.20 +-Applying beta-rule and splitting (118), into two cases. % 19.93/5.20 |-Branch one: % 19.93/5.20 | (973) all_0_138_138 = e12 % 19.93/5.20 | % 19.93/5.20 | Equations (973) can reduce 1324 to: % 19.93/5.20 | (423) $false % 19.93/5.20 | % 19.93/5.20 |-The branch is then unsatisfiable % 19.93/5.20 |-Branch two: % 19.93/5.20 | (1324) ~ (all_0_138_138 = e12) % 19.93/5.20 | (1325) all_0_142_142 = e12 | all_0_146_146 = e12 % 19.93/5.20 | % 19.93/5.20 +-Applying beta-rule and splitting (8), into two cases. % 19.93/5.20 |-Branch one: % 19.93/5.20 | (1170) all_0_135_135 = e13 % 19.93/5.20 | % 19.93/5.20 | Combining equations (1170,1266) yields a new equation: % 19.93/5.20 | (2252) e13 = e12 % 19.93/5.20 | % 19.93/5.20 | Simplifying 2252 yields: % 19.93/5.20 | (1382) e13 = e12 % 19.93/5.20 | % 19.93/5.20 | Equations (1382) can reduce 292 to: % 19.93/5.20 | (423) $false % 19.93/5.20 | % 19.93/5.20 |-The branch is then unsatisfiable % 19.93/5.20 |-Branch two: % 19.93/5.20 | (1173) ~ (all_0_135_135 = e13) % 19.93/5.20 | (1174) all_0_136_136 = e13 | all_0_137_137 = e13 % 19.93/5.20 | % 19.93/5.20 +-Applying beta-rule and splitting (2201), into two cases. % 19.93/5.20 |-Branch one: % 19.93/5.20 | (1082) all_0_141_141 = e11 % 19.93/5.20 | % 19.93/5.20 | Equations (1082) can reduce 1151 to: % 19.93/5.20 | (423) $false % 19.93/5.20 | % 19.93/5.20 |-The branch is then unsatisfiable % 19.93/5.20 |-Branch two: % 19.93/5.20 | (1151) ~ (all_0_141_141 = e11) % 19.93/5.20 | (1180) all_0_141_141 = e13 % 19.93/5.20 | % 19.93/5.20 | Equations (1180) can reduce 1287 to: % 19.93/5.20 | (197) ~ (e13 = e10) % 19.93/5.20 | % 19.93/5.20 | From (1180) and (133) follows: % 19.93/5.20 | (2617) op1(e11, e11) = e13 % 19.93/5.20 | % 19.93/5.20 +-Applying beta-rule and splitting (135), into two cases. % 19.93/5.20 |-Branch one: % 19.93/5.20 | (1381) all_0_136_136 = e13 % 19.93/5.20 | % 19.93/5.20 | Equations (1381) can reduce 319 to: % 19.93/5.20 | (1386) ~ (all_0_138_138 = e13) % 19.93/5.20 | % 19.93/5.20 | Simplifying 1386 yields: % 19.93/5.20 | (102) ~ (all_0_138_138 = e13) % 19.93/5.20 | % 19.93/5.20 | Equations (1381) can reduce 266 to: % 19.93/5.20 | (2621) ~ (all_0_140_140 = e13) % 19.93/5.20 | % 19.93/5.20 | Simplifying 2621 yields: % 19.93/5.20 | (1935) ~ (all_0_140_140 = e13) % 19.93/5.20 | % 19.93/5.20 | Equations (1381) can reduce 32 to: % 19.93/5.20 | (197) ~ (e13 = e10) % 19.93/5.20 | % 19.93/5.20 | From (1381) and (35) follows: % 19.93/5.20 | (2624) op1(e13, e12) = all_0_114_114 % 19.93/5.20 | % 19.93/5.20 +-Applying beta-rule and splitting (203), into two cases. % 19.93/5.20 |-Branch one: % 19.93/5.20 | (984) all_0_140_140 = e12 % 19.93/5.20 | % 19.93/5.20 | Equations (984) can reduce 1295 to: % 19.93/5.20 | (423) $false % 19.93/5.20 | % 19.93/5.20 |-The branch is then unsatisfiable % 19.93/5.20 |-Branch two: % 19.93/5.20 | (1295) ~ (all_0_140_140 = e12) % 19.93/5.20 | (1380) all_0_140_140 = e13 | all_0_140_140 = e11 % 19.93/5.20 | % 19.93/5.20 +-Applying beta-rule and splitting (1325), into two cases. % 19.93/5.20 |-Branch one: % 19.93/5.20 | (1244) all_0_142_142 = e12 % 19.93/5.20 | % 19.93/5.20 | Equations (1244) can reduce 316 to: % 19.93/5.20 | (1324) ~ (all_0_138_138 = e12) % 19.93/5.20 | % 19.93/5.20 | Equations (1244) can reduce 11 to: % 19.93/5.20 | (1295) ~ (all_0_140_140 = e12) % 19.93/5.20 | % 19.93/5.20 +-Applying beta-rule and splitting (235), into two cases. % 19.93/5.20 |-Branch one: % 19.93/5.20 | (1017) all_0_138_138 = e11 % 19.93/5.20 | % 19.93/5.20 | Equations (1017) can reduce 102 to: % 19.93/5.20 | (1178) ~ (e13 = e11) % 19.93/5.20 | % 19.93/5.20 | Simplifying 1178 yields: % 19.93/5.20 | (349) ~ (e13 = e11) % 19.93/5.20 | % 19.93/5.20 | Equations (1017) can reduce 1324 to: % 19.93/5.20 | (1051) ~ (e12 = e11) % 19.93/5.20 | % 19.93/5.20 | Simplifying 1051 yields: % 19.93/5.20 | (313) ~ (e12 = e11) % 19.93/5.20 | % 19.93/5.20 | From (1017) and (18) follows: % 19.93/5.20 | (2637) op1(e12, e10) = e11 % 19.93/5.20 | % 19.93/5.20 +-Applying beta-rule and splitting (72), into two cases. % 19.93/5.20 |-Branch one: % 19.93/5.20 | (1024) all_0_140_140 = e11 % 19.93/5.20 | % 19.93/5.20 | Equations (1024) can reduce 1935 to: % 19.93/5.20 | (1178) ~ (e13 = e11) % 19.93/5.20 | % 19.93/5.20 | Simplifying 1178 yields: % 19.93/5.20 | (349) ~ (e13 = e11) % 19.93/5.20 | % 19.93/5.20 | Equations (1024) can reduce 1295 to: % 19.93/5.20 | (1051) ~ (e12 = e11) % 19.93/5.20 | % 19.93/5.20 | Simplifying 1051 yields: % 19.93/5.20 | (313) ~ (e12 = e11) % 19.93/5.20 | % 19.93/5.20 | From (1024) and (77) follows: % 19.93/5.20 | (2643) op1(e11, e11) = all_0_115_115 % 19.93/5.20 | % 19.93/5.20 | Instantiating formula (312) with e13, e12, all_0_114_114, e10 and discharging atoms op1(e13, e12) = all_0_114_114, op1(e13, e12) = e10, yields: % 19.93/5.20 | (2644) all_0_114_114 = e10 % 19.93/5.20 | % 19.93/5.20 | Instantiating formula (312) with e12, e10, e11, all_0_116_116 and discharging atoms op1(e12, e10) = all_0_116_116, op1(e12, e10) = e11, yields: % 19.93/5.20 | (2645) all_0_116_116 = e11 % 19.93/5.20 | % 19.93/5.20 | Instantiating formula (312) with e11, e11, e13, all_0_115_115 and discharging atoms op1(e11, e11) = all_0_115_115, op1(e11, e11) = e13, yields: % 19.93/5.20 | (2646) all_0_115_115 = e13 % 19.93/5.20 | % 19.93/5.20 +-Applying beta-rule and splitting (191), into two cases. % 19.93/5.20 |-Branch one: % 19.93/5.20 | (1003) all_0_143_143 = e10 % 19.93/5.20 | % 19.93/5.20 | Combining equations (1003,1759) yields a new equation: % 19.93/5.20 | (1171) e13 = e10 % 19.93/5.20 | % 19.93/5.20 | Equations (1171) can reduce 197 to: % 19.93/5.20 | (423) $false % 19.93/5.20 | % 19.93/5.20 |-The branch is then unsatisfiable % 19.93/5.20 |-Branch two: % 19.93/5.20 | (1006) ~ (all_0_143_143 = e10) % 19.93/5.20 | (2651) all_0_114_114 = all_0_136_136 | all_0_115_115 = all_0_140_140 | all_0_116_116 = all_0_144_144 % 19.93/5.20 | % 19.93/5.20 | Equations (1759) can reduce 1006 to: % 19.93/5.20 | (197) ~ (e13 = e10) % 19.93/5.20 | % 19.93/5.20 +-Applying beta-rule and splitting (2651), into two cases. % 19.93/5.20 |-Branch one: % 19.93/5.20 | (2653) all_0_114_114 = all_0_136_136 % 19.93/5.20 | % 19.93/5.20 | Combining equations (2653,2644) yields a new equation: % 19.93/5.20 | (2654) all_0_136_136 = e10 % 19.93/5.20 | % 19.93/5.20 | Simplifying 2654 yields: % 19.93/5.20 | (2655) all_0_136_136 = e10 % 19.93/5.20 | % 19.93/5.20 | Combining equations (2655,1381) yields a new equation: % 19.93/5.20 | (1171) e13 = e10 % 19.93/5.20 | % 19.93/5.20 | Equations (1171) can reduce 197 to: % 19.93/5.20 | (423) $false % 19.93/5.20 | % 19.93/5.20 |-The branch is then unsatisfiable % 19.93/5.20 |-Branch two: % 19.93/5.20 | (2658) ~ (all_0_114_114 = all_0_136_136) % 19.93/5.20 | (2659) all_0_115_115 = all_0_140_140 | all_0_116_116 = all_0_144_144 % 19.93/5.20 | % 19.93/5.20 +-Applying beta-rule and splitting (2659), into two cases. % 19.93/5.20 |-Branch one: % 19.93/5.20 | (2660) all_0_115_115 = all_0_140_140 % 19.93/5.20 | % 19.93/5.20 | Combining equations (2660,2646) yields a new equation: % 19.93/5.20 | (2661) all_0_140_140 = e13 % 19.93/5.20 | % 19.93/5.20 | Simplifying 2661 yields: % 19.93/5.21 | (1871) all_0_140_140 = e13 % 19.93/5.21 | % 19.93/5.21 | Combining equations (1024,1871) yields a new equation: % 19.93/5.21 | (1181) e13 = e11 % 19.93/5.21 | % 19.93/5.21 | Equations (1181) can reduce 349 to: % 19.93/5.21 | (423) $false % 19.93/5.21 | % 19.93/5.21 |-The branch is then unsatisfiable % 19.93/5.21 |-Branch two: % 19.93/5.21 | (2665) ~ (all_0_115_115 = all_0_140_140) % 19.93/5.21 | (2666) all_0_116_116 = all_0_144_144 % 19.93/5.21 | % 20.02/5.21 | Combining equations (2645,2666) yields a new equation: % 20.02/5.21 | (1069) all_0_144_144 = e11 % 20.02/5.21 | % 20.02/5.21 | Combining equations (1069,1054) yields a new equation: % 20.02/5.21 | (1019) e12 = e11 % 20.02/5.21 | % 20.02/5.21 | Equations (1019) can reduce 313 to: % 20.02/5.21 | (423) $false % 20.02/5.21 | % 20.02/5.21 |-The branch is then unsatisfiable % 20.02/5.21 |-Branch two: % 20.02/5.21 | (1028) ~ (all_0_140_140 = e11) % 20.02/5.21 | (1029) all_0_141_141 = e11 | all_0_142_142 = e11 % 20.02/5.21 | % 20.02/5.21 +-Applying beta-rule and splitting (14), into two cases. % 20.02/5.21 |-Branch one: % 20.02/5.21 | (1058) all_0_136_136 = e11 % 20.02/5.21 | % 20.02/5.21 | Combining equations (1058,1381) yields a new equation: % 20.02/5.21 | (1181) e13 = e11 % 20.02/5.21 | % 20.02/5.21 | Equations (1181) can reduce 349 to: % 20.02/5.21 | (423) $false % 20.02/5.21 | % 20.02/5.21 |-The branch is then unsatisfiable % 20.02/5.21 |-Branch two: % 20.02/5.21 | (1197) ~ (all_0_136_136 = e11) % 20.02/5.21 | (1198) all_0_140_140 = e11 | all_0_144_144 = e11 % 20.02/5.21 | % 20.02/5.21 +-Applying beta-rule and splitting (1198), into two cases. % 20.02/5.21 |-Branch one: % 20.02/5.21 | (1024) all_0_140_140 = e11 % 20.02/5.21 | % 20.02/5.21 | Equations (1024) can reduce 1028 to: % 20.02/5.21 | (423) $false % 20.02/5.21 | % 20.02/5.21 |-The branch is then unsatisfiable % 20.02/5.21 |-Branch two: % 20.02/5.21 | (1028) ~ (all_0_140_140 = e11) % 20.02/5.21 | (1069) all_0_144_144 = e11 % 20.02/5.21 | % 20.02/5.21 | Combining equations (1069,1054) yields a new equation: % 20.02/5.21 | (1019) e12 = e11 % 20.02/5.21 | % 20.02/5.21 | Equations (1019) can reduce 313 to: % 20.02/5.21 | (423) $false % 20.02/5.21 | % 20.02/5.21 |-The branch is then unsatisfiable % 20.02/5.21 |-Branch two: % 20.02/5.21 | (1021) ~ (all_0_138_138 = e11) % 20.02/5.21 | (1022) all_0_142_142 = e11 | all_0_146_146 = e11 % 20.02/5.21 | % 20.02/5.21 +-Applying beta-rule and splitting (72), into two cases. % 20.02/5.21 |-Branch one: % 20.02/5.21 | (1024) all_0_140_140 = e11 % 20.02/5.21 | % 20.02/5.21 | Equations (1024) can reduce 1935 to: % 20.02/5.21 | (1178) ~ (e13 = e11) % 20.02/5.21 | % 20.02/5.21 | Simplifying 1178 yields: % 20.02/5.21 | (349) ~ (e13 = e11) % 20.02/5.21 | % 20.02/5.21 | Equations (1024) can reduce 222 to: % 20.02/5.21 | (297) ~ (e11 = e10) % 20.02/5.21 | % 20.02/5.21 +-Applying beta-rule and splitting (268), into two cases. % 20.02/5.21 |-Branch one: % 20.02/5.21 | (1058) all_0_136_136 = e11 % 20.02/5.21 | % 20.02/5.21 | Combining equations (1058,1381) yields a new equation: % 20.02/5.21 | (1181) e13 = e11 % 20.02/5.21 | % 20.02/5.21 | Equations (1181) can reduce 349 to: % 20.02/5.21 | (423) $false % 20.02/5.21 | % 20.02/5.21 |-The branch is then unsatisfiable % 20.02/5.21 |-Branch two: % 20.02/5.21 | (1197) ~ (all_0_136_136 = e11) % 20.02/5.21 | (1202) all_0_137_137 = e11 | all_0_138_138 = e11 % 20.02/5.21 | % 20.02/5.21 +-Applying beta-rule and splitting (1202), into two cases. % 20.02/5.21 |-Branch one: % 20.02/5.21 | (1065) all_0_137_137 = e11 % 20.02/5.21 | % 20.02/5.21 | Combining equations (1065,1230) yields a new equation: % 20.02/5.21 | (1044) e11 = e10 % 20.02/5.21 | % 20.02/5.21 | Simplifying 1044 yields: % 20.02/5.21 | (1045) e11 = e10 % 20.02/5.21 | % 20.02/5.21 | Equations (1045) can reduce 297 to: % 20.02/5.21 | (423) $false % 20.02/5.21 | % 20.02/5.21 |-The branch is then unsatisfiable % 20.02/5.21 |-Branch two: % 20.02/5.21 | (1060) ~ (all_0_137_137 = e11) % 20.02/5.21 | (1017) all_0_138_138 = e11 % 20.02/5.21 | % 20.02/5.21 | Equations (1017) can reduce 1021 to: % 20.02/5.21 | (423) $false % 20.02/5.21 | % 20.02/5.21 |-The branch is then unsatisfiable % 20.02/5.21 |-Branch two: % 20.02/5.21 | (1028) ~ (all_0_140_140 = e11) % 20.02/5.21 | (1029) all_0_141_141 = e11 | all_0_142_142 = e11 % 20.02/5.21 | % 20.02/5.21 +-Applying beta-rule and splitting (1380), into two cases. % 20.02/5.21 |-Branch one: % 20.02/5.21 | (1024) all_0_140_140 = e11 % 20.02/5.21 | % 20.02/5.21 | Equations (1024) can reduce 1028 to: % 20.02/5.21 | (423) $false % 20.02/5.21 | % 20.02/5.21 |-The branch is then unsatisfiable % 20.02/5.21 |-Branch two: % 20.02/5.21 | (1028) ~ (all_0_140_140 = e11) % 20.02/5.21 | (1871) all_0_140_140 = e13 % 20.02/5.21 | % 20.02/5.21 | Equations (1871) can reduce 1935 to: % 20.02/5.21 | (423) $false % 20.02/5.21 | % 20.02/5.21 |-The branch is then unsatisfiable % 20.02/5.21 |-Branch two: % 20.02/5.21 | (987) ~ (all_0_142_142 = e12) % 20.02/5.21 | (1599) all_0_146_146 = e12 % 20.02/5.21 | % 20.02/5.21 | Combining equations (1599,1009) yields a new equation: % 20.02/5.21 | (1256) e12 = e10 % 20.02/5.21 | % 20.02/5.21 | Simplifying 1256 yields: % 20.02/5.21 | (1004) e12 = e10 % 20.02/5.21 | % 20.02/5.21 | Equations (1004) can reduce 165 to: % 20.02/5.21 | (423) $false % 20.02/5.21 | % 20.02/5.21 |-The branch is then unsatisfiable % 20.02/5.21 |-Branch two: % 20.02/5.21 | (1267) ~ (all_0_136_136 = e13) % 20.02/5.21 | (1860) all_0_140_140 = e13 | all_0_144_144 = e13 % 20.02/5.21 | % 20.02/5.21 +-Applying beta-rule and splitting (1174), into two cases. % 20.02/5.21 |-Branch one: % 20.02/5.21 | (1381) all_0_136_136 = e13 % 20.02/5.21 | % 20.02/5.21 | Equations (1381) can reduce 1267 to: % 20.02/5.21 | (423) $false % 20.02/5.21 | % 20.02/5.21 |-The branch is then unsatisfiable % 20.02/5.21 |-Branch two: % 20.02/5.21 | (1267) ~ (all_0_136_136 = e13) % 20.02/5.21 | (1076) all_0_137_137 = e13 % 20.02/5.21 | % 20.02/5.21 | Combining equations (1076,1230) yields a new equation: % 20.02/5.21 | (1390) e13 = e10 % 20.02/5.21 | % 20.02/5.21 | Simplifying 1390 yields: % 20.02/5.21 | (1171) e13 = e10 % 20.02/5.21 | % 20.02/5.21 | Equations (1171) can reduce 197 to: % 20.02/5.21 | (423) $false % 20.02/5.21 | % 20.02/5.21 |-The branch is then unsatisfiable % 20.02/5.21 |-Branch two: % 20.02/5.21 | (962) ~ (all_0_144_144 = e12) % 20.02/5.21 | (1057) all_0_144_144 = e13 | all_0_144_144 = e11 % 20.02/5.21 | % 20.02/5.21 +-Applying beta-rule and splitting (263), into two cases. % 20.02/5.21 |-Branch one: % 20.02/5.21 | (980) all_0_136_136 = e12 % 20.02/5.21 | % 20.02/5.21 | Equations (980) can reduce 975 to: % 20.02/5.21 | (423) $false % 20.02/5.21 | % 20.02/5.21 |-The branch is then unsatisfiable % 20.02/5.21 |-Branch two: % 20.02/5.21 | (975) ~ (all_0_136_136 = e12) % 20.02/5.21 | (983) all_0_140_140 = e12 | all_0_144_144 = e12 % 20.02/5.21 | % 20.02/5.21 +-Applying beta-rule and splitting (983), into two cases. % 20.02/5.21 |-Branch one: % 20.02/5.21 | (984) all_0_140_140 = e12 % 20.02/5.21 | % 20.02/5.21 | Equations (984) can reduce 48 to: % 20.02/5.21 | (961) ~ (all_0_144_144 = e12) % 20.02/5.21 | % 20.02/5.21 | Simplifying 961 yields: % 20.02/5.21 | (962) ~ (all_0_144_144 = e12) % 20.02/5.21 | % 20.02/5.21 | Equations (984) can reduce 222 to: % 20.02/5.21 | (165) ~ (e12 = e10) % 20.02/5.21 | % 20.02/5.21 +-Applying beta-rule and splitting (1716), into two cases. % 20.02/5.21 |-Branch one: % 20.02/5.21 | (1054) all_0_144_144 = e12 % 20.02/5.21 | % 20.02/5.21 | Equations (1054) can reduce 962 to: % 20.02/5.21 | (423) $false % 20.02/5.21 | % 20.02/5.21 |-The branch is then unsatisfiable % 20.02/5.21 |-Branch two: % 20.02/5.21 | (962) ~ (all_0_144_144 = e12) % 20.02/5.21 | (1599) all_0_146_146 = e12 % 20.02/5.21 | % 20.02/5.21 | Combining equations (1599,1009) yields a new equation: % 20.02/5.21 | (1256) e12 = e10 % 20.02/5.21 | % 20.02/5.21 | Simplifying 1256 yields: % 20.02/5.21 | (1004) e12 = e10 % 20.02/5.21 | % 20.02/5.21 | Equations (1004) can reduce 165 to: % 20.02/5.21 | (423) $false % 20.02/5.21 | % 20.02/5.21 |-The branch is then unsatisfiable % 20.02/5.21 |-Branch two: % 20.02/5.21 | (1295) ~ (all_0_140_140 = e12) % 20.02/5.21 | (1054) all_0_144_144 = e12 % 20.02/5.21 | % 20.02/5.21 | Equations (1054) can reduce 962 to: % 20.02/5.21 | (423) $false % 20.02/5.21 | % 20.02/5.21 |-The branch is then unsatisfiable % 20.02/5.21 |-Branch two: % 20.02/5.21 | (1238) ~ (all_0_137_137 = e10) % 20.02/5.21 | (2743) all_0_141_141 = e10 | all_0_145_145 = e10 % 20.02/5.21 | % 20.02/5.21 +-Applying beta-rule and splitting (2743), into two cases. % 20.02/5.21 |-Branch one: % 20.02/5.21 | (1395) all_0_141_141 = e10 % 20.02/5.21 | % 20.02/5.21 | Equations (1395) can reduce 1287 to: % 20.02/5.21 | (423) $false % 20.02/5.21 | % 20.02/5.21 |-The branch is then unsatisfiable % 20.02/5.21 |-Branch two: % 20.02/5.21 | (1287) ~ (all_0_141_141 = e10) % 20.02/5.21 | (1078) all_0_145_145 = e10 % 20.02/5.21 | % 20.02/5.21 | Combining equations (1078,1188) yields a new equation: % 20.02/5.21 | (1045) e11 = e10 % 20.02/5.21 | % 20.02/5.21 | Equations (1045) can reduce 297 to: % 20.02/5.21 | (423) $false % 20.02/5.21 | % 20.02/5.21 |-The branch is then unsatisfiable % 20.02/5.21 |-Branch two: % 20.02/5.21 | (1050) ~ (all_0_145_145 = e11) % 20.02/5.21 | (1184) all_0_145_145 = e13 % 20.02/5.21 | % 20.02/5.21 | Equations (1184) can reduce 1074 to: % 20.02/5.21 | (423) $false % 20.02/5.21 | % 20.02/5.21 |-The branch is then unsatisfiable % 20.02/5.22 |-Branch two: % 20.02/5.22 | (997) ~ (all_0_139_139 = e10) % 20.02/5.22 | (1003) all_0_143_143 = e10 % 20.02/5.22 | % 20.02/5.22 | Combining equations (1759,1003) yields a new equation: % 20.02/5.22 | (1390) e13 = e10 % 20.02/5.22 | % 20.02/5.22 | Simplifying 1390 yields: % 20.02/5.22 | (1171) e13 = e10 % 20.02/5.22 | % 20.02/5.22 | Equations (1171) can reduce 197 to: % 20.02/5.22 | (423) $false % 20.02/5.22 | % 20.02/5.22 |-The branch is then unsatisfiable % 20.02/5.22 |-Branch two: % 20.02/5.22 | (960) ~ (all_0_135_135 = e12) % 20.02/5.22 | (1170) all_0_135_135 = e13 % 20.02/5.22 | % 20.02/5.22 | Equations (1170) can reduce 1173 to: % 20.02/5.22 | (423) $false % 20.02/5.22 | % 20.02/5.22 |-The branch is then unsatisfiable % 20.02/5.22 |-Branch two: % 20.02/5.22 | (507) ~ (all_0_128_128 = e22) % 20.02/5.22 | (820) all_0_128_128 = e23 % 20.02/5.22 | % 20.02/5.22 | Equations (820) can reduce 935 to: % 20.02/5.22 | (423) $false % 20.02/5.22 | % 20.02/5.22 |-The branch is then unsatisfiable % 20.02/5.22 |-Branch two: % 20.02/5.22 | (483) ~ (all_0_127_127 = e23) % 20.02/5.22 | (519) all_0_131_131 = e23 % 20.02/5.22 | % 20.02/5.22 | Equations (519) can reduce 548 to: % 20.02/5.22 | (423) $false % 20.02/5.22 | % 20.02/5.22 |-The branch is then unsatisfiable % 20.02/5.22 |-Branch two: % 20.02/5.22 | (550) all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20) % 20.02/5.22 | % 20.02/5.22 | Applying alpha-rule on (550) yields: % 20.02/5.22 | (471) ~ (all_0_124_124 = e22) % 20.02/5.22 | (404) all_0_128_128 = e21 % 20.02/5.22 | (553) ~ (all_0_125_125 = e21) % 20.02/5.22 | (460) ~ (all_0_126_126 = e20) % 20.02/5.22 | (524) ~ (all_0_123_123 = e23) % 20.02/5.22 | % 20.02/5.22 | Equations (404) can reduce 733 to: % 20.02/5.22 | (423) $false % 20.02/5.22 | % 20.02/5.22 |-The branch is then unsatisfiable % 20.02/5.22 |-Branch two: % 20.02/5.22 | (557) all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20) % 20.02/5.22 | % 20.02/5.22 | Applying alpha-rule on (557) yields: % 20.02/5.22 | (545) ~ (all_0_132_132 = e22) % 20.02/5.22 | (418) ~ (all_0_133_133 = e21) % 20.02/5.22 | (547) ~ (all_0_134_134 = e20) % 20.02/5.22 | (474) ~ (all_0_129_129 = e20) % 20.02/5.22 | (446) all_0_130_130 = e21 % 20.02/5.22 | (548) ~ (all_0_131_131 = e23) % 20.02/5.22 | % 20.02/5.22 | Combining equations (446,473) yields a new equation: % 20.02/5.22 | (2781) e21 = e20 % 20.02/5.22 | % 20.02/5.22 | Simplifying 2781 yields: % 20.02/5.22 | (564) e21 = e20 % 20.02/5.22 | % 20.02/5.22 | Equations (564) can reduce 326 to: % 20.02/5.22 | (423) $false % 20.02/5.22 | % 20.02/5.22 |-The branch is then unsatisfiable % 20.02/5.22 |-Branch two: % 20.02/5.22 | (566) all_0_133_133 = e20 & ~ (all_0_127_127 = e23) & ~ (all_0_128_128 = e22) & ~ (all_0_129_129 = e21) & ~ (all_0_130_130 = e20) & ~ (all_0_134_134 = e21) % 20.02/5.22 | % 20.02/5.22 | Applying alpha-rule on (566) yields: % 20.02/5.22 | (567) ~ (all_0_134_134 = e21) % 20.02/5.22 | (511) all_0_133_133 = e20 % 20.02/5.22 | (416) ~ (all_0_129_129 = e21) % 20.02/5.22 | (483) ~ (all_0_127_127 = e23) % 20.02/5.22 | (507) ~ (all_0_128_128 = e22) % 20.02/5.22 | (572) ~ (all_0_130_130 = e20) % 20.02/5.22 | % 20.02/5.22 | Equations (393) can reduce 567 to: % 20.02/5.22 | (423) $false % 20.02/5.22 | % 20.02/5.22 |-The branch is then unsatisfiable % 20.02/5.22 |-Branch two: % 20.02/5.22 | (574) ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20) % 20.02/5.22 | % 20.02/5.22 | Applying alpha-rule on (574) yields: % 20.02/5.22 | (548) ~ (all_0_131_131 = e23) % 20.02/5.22 | (545) ~ (all_0_132_132 = e22) % 20.02/5.22 | (418) ~ (all_0_133_133 = e21) % 20.02/5.22 | (547) ~ (all_0_134_134 = e20) % 20.02/5.22 | % 20.02/5.22 +-Applying beta-rule and splitting (55), into two cases. % 20.02/5.22 |-Branch one: % 20.02/5.22 | (924) all_0_132_132 = e21 % 20.02/5.22 | % 20.02/5.22 | Equations (924) can reduce 396 to: % 20.02/5.22 | (423) $false % 20.02/5.22 | % 20.02/5.22 |-The branch is then unsatisfiable % 20.02/5.22 |-Branch two: % 20.02/5.22 | (396) ~ (all_0_132_132 = e21) % 20.02/5.22 | (927) all_0_132_132 = e23 | all_0_132_132 = e22 % 20.02/5.22 | % 20.02/5.22 +-Applying beta-rule and splitting (75), into two cases. % 20.02/5.22 |-Branch one: % 20.02/5.22 | (521) all_0_123_123 = e23 % 20.02/5.22 | % 20.02/5.22 | Combining equations (462,521) yields a new equation: % 20.02/5.22 | (522) e23 = e20 % 20.02/5.22 | % 20.02/5.22 | Equations (522) can reduce 276 to: % 20.02/5.22 | (423) $false % 20.02/5.22 | % 20.02/5.22 |-The branch is then unsatisfiable % 20.02/5.22 |-Branch two: % 20.02/5.22 | (524) ~ (all_0_123_123 = e23) % 20.02/5.22 | (932) all_0_127_127 = e23 | all_0_131_131 = e23 % 20.02/5.22 | % 20.02/5.22 +-Applying beta-rule and splitting (932), into two cases. % 20.02/5.22 |-Branch one: % 20.02/5.22 | (933) all_0_127_127 = e23 % 20.02/5.22 | % 20.02/5.22 | Equations (933) can reduce 126 to: % 20.02/5.22 | (934) ~ (all_0_128_128 = e23) % 20.02/5.22 | % 20.02/5.22 | Simplifying 934 yields: % 20.02/5.22 | (935) ~ (all_0_128_128 = e23) % 20.02/5.22 | % 20.02/5.22 +-Applying beta-rule and splitting (308), into two cases. % 20.02/5.22 |-Branch one: % 20.02/5.22 | (539) all_0_123_123 = e22 % 20.02/5.22 | % 20.02/5.22 | Combining equations (539,462) yields a new equation: % 20.02/5.22 | (780) e22 = e20 % 20.02/5.22 | % 20.02/5.22 | Simplifying 780 yields: % 20.02/5.22 | (429) e22 = e20 % 20.02/5.22 | % 20.02/5.22 | Equations (429) can reduce 121 to: % 20.08/5.22 | (423) $false % 20.08/5.22 | % 20.08/5.22 |-The branch is then unsatisfiable % 20.08/5.22 |-Branch two: % 20.08/5.22 | (623) ~ (all_0_123_123 = e22) % 20.08/5.22 | (624) all_0_127_127 = e22 | all_0_131_131 = e22 % 20.08/5.22 | % 20.08/5.22 +-Applying beta-rule and splitting (624), into two cases. % 20.08/5.22 |-Branch one: % 20.08/5.22 | (491) all_0_127_127 = e22 % 20.08/5.22 | % 20.08/5.22 | Combining equations (933,491) yields a new equation: % 20.08/5.22 | (583) e23 = e22 % 20.08/5.22 | % 20.08/5.22 | Simplifying 583 yields: % 20.08/5.22 | (584) e23 = e22 % 20.08/5.22 | % 20.08/5.22 | Equations (584) can reduce 28 to: % 20.08/5.22 | (423) $false % 20.08/5.22 | % 20.08/5.22 |-The branch is then unsatisfiable % 20.08/5.22 |-Branch two: % 20.08/5.22 | (593) ~ (all_0_127_127 = e22) % 20.08/5.22 | (628) all_0_131_131 = e22 % 20.08/5.22 | % 20.08/5.22 +-Applying beta-rule and splitting (164), into two cases. % 20.08/5.22 |-Branch one: % 20.08/5.22 | (404) all_0_128_128 = e21 % 20.08/5.22 | % 20.08/5.22 | Equations (404) can reduce 733 to: % 20.08/5.22 | (423) $false % 20.08/5.22 | % 20.08/5.22 |-The branch is then unsatisfiable % 20.08/5.22 |-Branch two: % 20.08/5.22 | (733) ~ (all_0_128_128 = e21) % 20.08/5.22 | (798) all_0_128_128 = e23 | all_0_128_128 = e22 % 20.08/5.22 | % 20.08/5.22 +-Applying beta-rule and splitting (798), into two cases. % 20.08/5.22 |-Branch one: % 20.08/5.22 | (503) all_0_128_128 = e22 % 20.08/5.22 | % 20.08/5.22 | Equations (503) can reduce 61 to: % 20.08/5.22 | (953) ~ (all_0_132_132 = e22) % 20.08/5.22 | % 20.08/5.22 | Simplifying 953 yields: % 20.08/5.22 | (545) ~ (all_0_132_132 = e22) % 20.08/5.22 | % 20.08/5.22 +-Applying beta-rule and splitting (927), into two cases. % 20.08/5.22 |-Branch one: % 20.08/5.22 | (508) all_0_132_132 = e22 % 20.08/5.22 | % 20.08/5.22 | Equations (508) can reduce 545 to: % 20.08/5.22 | (423) $false % 20.08/5.22 | % 20.08/5.22 |-The branch is then unsatisfiable % 20.08/5.22 |-Branch two: % 20.08/5.22 | (545) ~ (all_0_132_132 = e22) % 20.08/5.22 | (582) all_0_132_132 = e23 % 20.08/5.22 | % 20.08/5.22 +-Applying beta-rule and splitting (63), into two cases. % 20.08/5.22 |-Branch one: % 20.08/5.22 | (959) all_0_143_143 = e12 % 20.08/5.22 | % 20.08/5.22 | Equations (959) can reduce 187 to: % 20.08/5.22 | (960) ~ (all_0_135_135 = e12) % 20.08/5.22 | % 20.08/5.22 | Equations (959) can reduce 360 to: % 20.08/5.22 | (961) ~ (all_0_144_144 = e12) % 20.08/5.22 | % 20.08/5.22 | Simplifying 961 yields: % 20.08/5.22 | (962) ~ (all_0_144_144 = e12) % 20.08/5.22 | % 20.08/5.22 | Equations (959) can reduce 243 to: % 20.08/5.22 | (963) ~ (all_0_145_145 = e12) % 20.08/5.22 | % 20.08/5.22 | Simplifying 963 yields: % 20.08/5.22 | (298) ~ (all_0_145_145 = e12) % 20.08/5.22 | % 20.08/5.22 | Equations (959) can reduce 363 to: % 20.08/5.22 | (965) ~ (all_0_146_146 = e12) % 20.08/5.22 | % 20.08/5.22 | Simplifying 965 yields: % 20.08/5.22 | (966) ~ (all_0_146_146 = e12) % 20.08/5.22 | % 20.08/5.22 | Equations (959) can reduce 215 to: % 20.08/5.22 | (313) ~ (e12 = e11) % 20.08/5.22 | % 20.08/5.22 | From (959) and (41) follows: % 20.08/5.22 | (968) op1(e12, e10) = all_0_113_113 % 20.08/5.22 | % 20.08/5.22 | From (959) and (195) follows: % 20.08/5.22 | (969) h4(e12) = all_0_8_8 % 20.08/5.22 | % 20.08/5.22 | Instantiating formula (312) with e12, e10, all_0_113_113, all_0_138_138 and discharging atoms op1(e12, e10) = all_0_113_113, op1(e12, e10) = all_0_138_138, yields: % 20.08/5.22 | (970) all_0_113_113 = all_0_138_138 % 20.08/5.22 | % 20.08/5.22 | Instantiating formula (336) with e12, all_0_8_8, e22 and discharging atoms h4(e12) = all_0_8_8, h4(e12) = e22, yields: % 20.08/5.22 | (971) all_0_8_8 = e22 % 20.08/5.22 | % 20.08/5.22 | From (971) and (969) follows: % 20.08/5.22 | (70) h4(e12) = e22 % 20.08/5.22 | % 20.08/5.22 +-Applying beta-rule and splitting (118), into two cases. % 20.08/5.22 |-Branch one: % 20.08/5.22 | (973) all_0_138_138 = e12 % 20.08/5.22 | % 20.08/5.22 | Equations (973) can reduce 262 to: % 20.08/5.22 | (960) ~ (all_0_135_135 = e12) % 20.08/5.22 | % 20.08/5.22 | Equations (973) can reduce 319 to: % 20.08/5.22 | (975) ~ (all_0_136_136 = e12) % 20.08/5.22 | % 20.08/5.22 | Equations (973) can reduce 132 to: % 20.08/5.22 | (255) ~ (all_0_137_137 = e12) % 20.08/5.22 | % 20.08/5.22 | Equations (973) can reduce 50 to: % 20.08/5.22 | (965) ~ (all_0_146_146 = e12) % 20.08/5.22 | % 20.08/5.22 | Simplifying 965 yields: % 20.08/5.22 | (966) ~ (all_0_146_146 = e12) % 20.08/5.22 | % 20.08/5.22 | From (973) and (189) follows: % 20.08/5.22 | (979) h4(e12) = all_0_3_3 % 20.08/5.22 | % 20.08/5.22 +-Applying beta-rule and splitting (263), into two cases. % 20.08/5.22 |-Branch one: % 20.08/5.22 | (980) all_0_136_136 = e12 % 20.08/5.22 | % 20.08/5.22 | Equations (980) can reduce 975 to: % 20.08/5.22 | (423) $false % 20.08/5.22 | % 20.08/5.22 |-The branch is then unsatisfiable % 20.08/5.22 |-Branch two: % 20.08/5.22 | (975) ~ (all_0_136_136 = e12) % 20.08/5.22 | (983) all_0_140_140 = e12 | all_0_144_144 = e12 % 20.08/5.22 | % 20.08/5.22 +-Applying beta-rule and splitting (983), into two cases. % 20.08/5.22 |-Branch one: % 20.08/5.22 | (984) all_0_140_140 = e12 % 20.08/5.22 | % 20.08/5.22 | Equations (984) can reduce 166 to: % 20.08/5.22 | (985) ~ (all_0_139_139 = e12) % 20.08/5.22 | % 20.08/5.22 | Equations (984) can reduce 11 to: % 20.08/5.22 | (986) ~ (all_0_142_142 = e12) % 20.08/5.22 | % 20.08/5.22 | Simplifying 986 yields: % 20.08/5.22 | (987) ~ (all_0_142_142 = e12) % 20.08/5.22 | % 20.08/5.22 | Equations (984) can reduce 48 to: % 20.08/5.22 | (961) ~ (all_0_144_144 = e12) % 20.08/5.22 | % 20.08/5.22 | Simplifying 961 yields: % 20.08/5.22 | (962) ~ (all_0_144_144 = e12) % 20.08/5.22 | % 20.08/5.22 | Equations (984) can reduce 222 to: % 20.08/5.22 | (165) ~ (e12 = e10) % 20.08/5.22 | % 20.08/5.22 | From (984) and (286) follows: % 20.08/5.22 | (991) h4(e12) = all_0_5_5 % 20.08/5.22 | % 20.08/5.22 | Instantiating formula (336) with e12, all_0_3_3, e22 and discharging atoms h4(e12) = all_0_3_3, h4(e12) = e22, yields: % 20.08/5.22 | (992) all_0_3_3 = e22 % 20.08/5.22 | % 20.08/5.22 | Instantiating formula (336) with e12, all_0_5_5, all_0_3_3 and discharging atoms h4(e12) = all_0_3_3, h4(e12) = all_0_5_5, yields: % 20.08/5.22 | (993) all_0_3_3 = all_0_5_5 % 20.08/5.22 | % 20.08/5.22 | Combining equations (992,993) yields a new equation: % 20.08/5.22 | (994) all_0_5_5 = e22 % 20.08/5.22 | % 20.08/5.22 | Combining equations (994,993) yields a new equation: % 20.08/5.22 | (992) all_0_3_3 = e22 % 20.08/5.22 | % 20.08/5.22 +-Applying beta-rule and splitting (159), into two cases. % 20.08/5.22 |-Branch one: % 20.08/5.22 | (996) all_0_142_142 = e10 % 20.08/5.22 | % 20.08/5.22 | Equations (996) can reduce 320 to: % 20.08/5.22 | (997) ~ (all_0_139_139 = e10) % 20.08/5.22 | % 20.08/5.22 | Equations (996) can reduce 115 to: % 20.08/5.22 | (998) ~ (all_0_146_146 = e10) % 20.08/5.22 | % 20.08/5.22 | Simplifying 998 yields: % 20.08/5.22 | (999) ~ (all_0_146_146 = e10) % 20.08/5.22 | % 20.08/5.22 | Equations (996) can reduce 987 to: % 20.08/5.22 | (1000) ~ (e12 = e10) % 20.08/5.22 | % 20.08/5.22 | Simplifying 1000 yields: % 20.08/5.22 | (165) ~ (e12 = e10) % 20.08/5.22 | % 20.08/5.22 | From (996) and (146) follows: % 20.08/5.22 | (1002) h4(e10) = all_0_7_7 % 20.08/5.22 | % 20.08/5.22 +-Applying beta-rule and splitting (232), into two cases. % 20.08/5.22 |-Branch one: % 20.08/5.22 | (1003) all_0_143_143 = e10 % 20.08/5.22 | % 20.08/5.22 | Combining equations (1003,959) yields a new equation: % 20.08/5.22 | (1004) e12 = e10 % 20.08/5.22 | % 20.08/5.22 | Equations (1004) can reduce 165 to: % 20.08/5.23 | (423) $false % 20.08/5.23 | % 20.08/5.23 |-The branch is then unsatisfiable % 20.08/5.23 |-Branch two: % 20.08/5.23 | (1006) ~ (all_0_143_143 = e10) % 20.08/5.23 | (1007) all_0_145_145 = e10 | all_0_146_146 = e10 % 20.08/5.23 | % 20.08/5.23 | Equations (959) can reduce 1006 to: % 20.08/5.23 | (165) ~ (e12 = e10) % 20.08/5.23 | % 20.08/5.23 +-Applying beta-rule and splitting (224), into two cases. % 20.08/5.23 |-Branch one: % 20.08/5.23 | (1009) all_0_146_146 = e10 % 20.08/5.23 | % 20.08/5.23 | Equations (1009) can reduce 999 to: % 20.08/5.23 | (423) $false % 20.08/5.23 | % 20.08/5.23 |-The branch is then unsatisfiable % 20.08/5.23 |-Branch two: % 20.08/5.23 | (999) ~ (all_0_146_146 = e10) % 20.08/5.23 | (1012) all_0_146_146 = e12 | all_0_146_146 = e11 % 20.08/5.23 | % 20.08/5.23 +-Applying beta-rule and splitting (127), into two cases. % 20.08/5.23 |-Branch one: % 20.08/5.23 | (1013) all_0_139_139 = e10 % 20.08/5.23 | % 20.08/5.23 | Equations (1013) can reduce 997 to: % 20.08/5.23 | (423) $false % 20.08/5.23 | % 20.08/5.23 |-The branch is then unsatisfiable % 20.08/5.23 |-Branch two: % 20.08/5.23 | (997) ~ (all_0_139_139 = e10) % 20.08/5.23 | (1016) all_0_139_139 = e13 | all_0_139_139 = e12 % 20.08/5.23 | % 20.08/5.23 +-Applying beta-rule and splitting (235), into two cases. % 20.08/5.23 |-Branch one: % 20.08/5.23 | (1017) all_0_138_138 = e11 % 20.08/5.23 | % 20.08/5.23 | Combining equations (973,1017) yields a new equation: % 20.08/5.23 | (1018) e12 = e11 % 20.08/5.23 | % 20.08/5.23 | Simplifying 1018 yields: % 20.08/5.23 | (1019) e12 = e11 % 20.08/5.23 | % 20.08/5.23 | Equations (1019) can reduce 313 to: % 20.08/5.23 | (423) $false % 20.08/5.23 | % 20.08/5.23 |-The branch is then unsatisfiable % 20.08/5.23 |-Branch two: % 20.08/5.23 | (1021) ~ (all_0_138_138 = e11) % 20.08/5.23 | (1022) all_0_142_142 = e11 | all_0_146_146 = e11 % 20.08/5.23 | % 20.08/5.23 | Equations (973) can reduce 1021 to: % 20.08/5.23 | (313) ~ (e12 = e11) % 20.08/5.23 | % 20.08/5.23 +-Applying beta-rule and splitting (72), into two cases. % 20.08/5.23 |-Branch one: % 20.08/5.23 | (1024) all_0_140_140 = e11 % 20.08/5.23 | % 20.08/5.23 | Combining equations (984,1024) yields a new equation: % 20.08/5.23 | (1018) e12 = e11 % 20.08/5.23 | % 20.08/5.23 | Simplifying 1018 yields: % 20.08/5.23 | (1019) e12 = e11 % 20.08/5.23 | % 20.08/5.23 | Equations (1019) can reduce 313 to: % 20.08/5.23 | (423) $false % 20.08/5.23 | % 20.08/5.23 |-The branch is then unsatisfiable % 20.08/5.23 |-Branch two: % 20.08/5.23 | (1028) ~ (all_0_140_140 = e11) % 20.08/5.23 | (1029) all_0_141_141 = e11 | all_0_142_142 = e11 % 20.08/5.23 | % 20.08/5.23 +-Applying beta-rule and splitting (301), into two cases. % 20.08/5.23 |-Branch one: % 20.08/5.23 | (1030) all_0_135_135 = e10 % 20.08/5.23 | % 20.08/5.23 | Equations (1030) can reduce 279 to: % 20.08/5.23 | (1031) ~ (all_0_136_136 = e10) % 20.08/5.23 | % 20.08/5.23 | Simplifying 1031 yields: % 20.08/5.23 | (32) ~ (all_0_136_136 = e10) % 20.08/5.23 | % 20.08/5.23 | Equations (1030) can reduce 204 to: % 20.08/5.23 | (1033) ~ (e11 = e10) % 20.08/5.23 | % 20.08/5.23 | Simplifying 1033 yields: % 20.08/5.23 | (297) ~ (e11 = e10) % 20.08/5.23 | % 20.08/5.23 | From (1030) and (153) follows: % 20.08/5.23 | (1035) h4(e10) = all_0_0_0 % 20.08/5.23 | % 20.08/5.23 +-Applying beta-rule and splitting (1016), into two cases. % 20.08/5.23 |-Branch one: % 20.08/5.23 | (1036) all_0_139_139 = e12 % 20.08/5.23 | % 20.08/5.23 | Equations (1036) can reduce 985 to: % 20.08/5.23 | (423) $false % 20.08/5.23 | % 20.08/5.23 |-The branch is then unsatisfiable % 20.08/5.23 |-Branch two: % 20.08/5.23 | (985) ~ (all_0_139_139 = e12) % 20.08/5.23 | (1039) all_0_139_139 = e13 % 20.08/5.23 | % 20.08/5.23 | Equations (1039) can reduce 296 to: % 20.08/5.23 | (1040) ~ (all_0_141_141 = e13) % 20.08/5.23 | % 20.08/5.23 | Simplifying 1040 yields: % 20.08/5.23 | (1041) ~ (all_0_141_141 = e13) % 20.08/5.23 | % 20.08/5.23 | From (1039) and (299) follows: % 20.08/5.23 | (1042) h4(e13) = all_0_4_4 % 20.08/5.23 | % 20.08/5.23 +-Applying beta-rule and splitting (1022), into two cases. % 20.08/5.23 |-Branch one: % 20.08/5.23 | (1043) all_0_142_142 = e11 % 20.08/5.23 | % 20.08/5.23 | Combining equations (1043,996) yields a new equation: % 20.08/5.23 | (1044) e11 = e10 % 20.08/5.23 | % 20.08/5.23 | Simplifying 1044 yields: % 20.08/5.23 | (1045) e11 = e10 % 20.08/5.23 | % 20.08/5.23 | Equations (1045) can reduce 297 to: % 20.08/5.23 | (423) $false % 20.08/5.23 | % 20.08/5.23 |-The branch is then unsatisfiable % 20.08/5.23 |-Branch two: % 20.08/5.23 | (1047) ~ (all_0_142_142 = e11) % 20.08/5.23 | (1048) all_0_146_146 = e11 % 20.08/5.23 | % 20.08/5.23 | Equations (1048) can reduce 94 to: % 20.08/5.23 | (1049) ~ (all_0_144_144 = e11) % 20.08/5.23 | % 20.08/5.23 | Equations (1048) can reduce 328 to: % 20.08/5.23 | (1050) ~ (all_0_145_145 = e11) % 20.08/5.23 | % 20.08/5.23 | Equations (1048) can reduce 966 to: % 20.08/5.23 | (1051) ~ (e12 = e11) % 20.08/5.23 | % 20.08/5.23 | Simplifying 1051 yields: % 20.08/5.23 | (313) ~ (e12 = e11) % 20.08/5.23 | % 20.08/5.23 | From (1048) and (144) follows: % 20.08/5.23 | (1053) h4(e11) = all_0_11_11 % 20.08/5.23 | % 20.08/5.23 +-Applying beta-rule and splitting (334), into two cases. % 20.08/5.23 |-Branch one: % 20.08/5.23 | (1054) all_0_144_144 = e12 % 20.08/5.23 | % 20.08/5.23 | Equations (1054) can reduce 962 to: % 20.08/5.23 | (423) $false % 20.08/5.23 | % 20.08/5.23 |-The branch is then unsatisfiable % 20.08/5.23 |-Branch two: % 20.08/5.23 | (962) ~ (all_0_144_144 = e12) % 20.08/5.23 | (1057) all_0_144_144 = e13 | all_0_144_144 = e11 % 20.08/5.23 | % 20.08/5.23 +-Applying beta-rule and splitting (14), into two cases. % 20.08/5.23 |-Branch one: % 20.08/5.23 | (1058) all_0_136_136 = e11 % 20.08/5.23 | % 20.08/5.23 | Equations (1058) can reduce 220 to: % 20.08/5.23 | (1059) ~ (all_0_137_137 = e11) % 20.08/5.23 | % 20.08/5.23 | Simplifying 1059 yields: % 20.08/5.23 | (1060) ~ (all_0_137_137 = e11) % 20.08/5.23 | % 20.08/5.23 | Equations (1058) can reduce 196 to: % 20.08/5.23 | (1061) ~ (all_0_144_144 = e11) % 20.08/5.23 | % 20.08/5.23 | Simplifying 1061 yields: % 20.08/5.23 | (1049) ~ (all_0_144_144 = e11) % 20.08/5.23 | % 20.08/5.23 | Equations (1058) can reduce 32 to: % 20.08/5.23 | (297) ~ (e11 = e10) % 20.08/5.23 | % 20.08/5.23 | From (1058) and (205) follows: % 20.08/5.23 | (1064) h4(e11) = all_0_1_1 % 20.08/5.23 | % 20.08/5.23 +-Applying beta-rule and splitting (113), into two cases. % 20.08/5.23 |-Branch one: % 20.08/5.23 | (1065) all_0_137_137 = e11 % 20.08/5.23 | % 20.08/5.23 | Equations (1065) can reduce 1060 to: % 20.08/5.23 | (423) $false % 20.08/5.23 | % 20.08/5.23 |-The branch is then unsatisfiable % 20.08/5.23 |-Branch two: % 20.08/5.23 | (1060) ~ (all_0_137_137 = e11) % 20.08/5.23 | (1068) all_0_141_141 = e11 | all_0_145_145 = e11 % 20.08/5.23 | % 20.08/5.23 +-Applying beta-rule and splitting (1057), into two cases. % 20.08/5.23 |-Branch one: % 20.08/5.23 | (1069) all_0_144_144 = e11 % 20.08/5.23 | % 20.08/5.23 | Equations (1069) can reduce 1049 to: % 20.08/5.23 | (423) $false % 20.08/5.23 | % 20.08/5.23 |-The branch is then unsatisfiable % 20.08/5.23 |-Branch two: % 20.08/5.23 | (1049) ~ (all_0_144_144 = e11) % 20.08/5.23 | (1072) all_0_144_144 = e13 % 20.08/5.23 | % 20.08/5.23 | Equations (1072) can reduce 370 to: % 20.08/5.23 | (1073) ~ (all_0_145_145 = e13) % 20.08/5.23 | % 20.08/5.23 | Simplifying 1073 yields: % 20.08/5.23 | (1074) ~ (all_0_145_145 = e13) % 20.08/5.23 | % 20.08/5.23 | From (1072) and (6) follows: % 20.08/5.23 | (1075) h4(e13) = all_0_9_9 % 20.08/5.23 | % 20.08/5.23 +-Applying beta-rule and splitting (56), into two cases. % 20.08/5.23 |-Branch one: % 20.08/5.23 | (1076) all_0_137_137 = e13 % 20.08/5.23 | % 20.08/5.23 | From (1076) and (237) follows: % 20.08/5.23 | (1077) h4(e13) = all_0_2_2 % 20.08/5.23 | % 20.08/5.23 +-Applying beta-rule and splitting (214), into two cases. % 20.08/5.23 |-Branch one: % 20.08/5.23 | (1078) all_0_145_145 = e10 % 20.08/5.23 | % 20.08/5.23 | Equations (1078) can reduce 1050 to: % 20.08/5.23 | (1033) ~ (e11 = e10) % 20.08/5.23 | % 20.08/5.23 | Simplifying 1033 yields: % 20.08/5.23 | (297) ~ (e11 = e10) % 20.08/5.23 | % 20.08/5.23 | From (1078) and (170) follows: % 20.08/5.23 | (1081) h4(e10) = all_0_10_10 % 20.08/5.23 | % 20.08/5.23 +-Applying beta-rule and splitting (1029), into two cases. % 20.08/5.23 |-Branch one: % 20.08/5.23 | (1082) all_0_141_141 = e11 % 20.08/5.23 | % 20.08/5.23 | From (1082) and (178) follows: % 20.08/5.23 | (1083) h4(e11) = all_0_6_6 % 20.08/5.23 | % 20.08/5.23 | Instantiating formula (336) with e13, all_0_2_2, e23 and discharging atoms h4(e13) = all_0_2_2, h4(e13) = e23, yields: % 20.08/5.23 | (1084) all_0_2_2 = e23 % 20.08/5.23 | % 20.08/5.23 | Instantiating formula (336) with e13, all_0_4_4, all_0_2_2 and discharging atoms h4(e13) = all_0_2_2, h4(e13) = all_0_4_4, yields: % 20.08/5.23 | (1085) all_0_2_2 = all_0_4_4 % 20.08/5.23 | % 20.08/5.23 | Instantiating formula (336) with e13, all_0_9_9, all_0_4_4 and discharging atoms h4(e13) = all_0_4_4, h4(e13) = all_0_9_9, yields: % 20.08/5.23 | (1086) all_0_4_4 = all_0_9_9 % 20.08/5.23 | % 20.08/5.23 | Instantiating formula (336) with e11, all_0_1_1, e21 and discharging atoms h4(e11) = all_0_1_1, h4(e11) = e21, yields: % 20.08/5.23 | (1087) all_0_1_1 = e21 % 20.08/5.23 | % 20.08/5.23 | Instantiating formula (336) with e11, all_0_6_6, all_0_1_1 and discharging atoms h4(e11) = all_0_1_1, h4(e11) = all_0_6_6, yields: % 20.08/5.23 | (1088) all_0_1_1 = all_0_6_6 % 20.08/5.23 | % 20.08/5.23 | Instantiating formula (336) with e11, all_0_11_11, all_0_6_6 and discharging atoms h4(e11) = all_0_6_6, h4(e11) = all_0_11_11, yields: % 20.08/5.23 | (1089) all_0_6_6 = all_0_11_11 % 20.08/5.23 | % 20.08/5.23 | Instantiating formula (336) with e10, all_0_7_7, e20 and discharging atoms h4(e10) = all_0_7_7, h4(e10) = e20, yields: % 20.08/5.23 | (1090) all_0_7_7 = e20 % 20.08/5.23 | % 20.08/5.23 | Instantiating formula (336) with e10, all_0_7_7, all_0_0_0 and discharging atoms h4(e10) = all_0_0_0, h4(e10) = all_0_7_7, yields: % 20.08/5.23 | (1091) all_0_0_0 = all_0_7_7 % 20.08/5.23 | % 20.08/5.23 | Instantiating formula (336) with e10, all_0_10_10, all_0_0_0 and discharging atoms h4(e10) = all_0_0_0, h4(e10) = all_0_10_10, yields: % 20.08/5.23 | (1092) all_0_0_0 = all_0_10_10 % 20.08/5.23 | % 20.08/5.23 | Combining equations (1091,1092) yields a new equation: % 20.08/5.23 | (1093) all_0_7_7 = all_0_10_10 % 20.08/5.23 | % 20.08/5.23 | Simplifying 1093 yields: % 20.08/5.23 | (1094) all_0_7_7 = all_0_10_10 % 20.08/5.23 | % 20.08/5.23 | Combining equations (1088,1087) yields a new equation: % 20.08/5.23 | (1095) all_0_6_6 = e21 % 20.08/5.23 | % 20.08/5.23 | Simplifying 1095 yields: % 20.08/5.23 | (1096) all_0_6_6 = e21 % 20.08/5.23 | % 20.08/5.23 | Combining equations (1085,1084) yields a new equation: % 20.08/5.23 | (1097) all_0_4_4 = e23 % 20.08/5.23 | % 20.08/5.23 | Simplifying 1097 yields: % 20.08/5.23 | (1098) all_0_4_4 = e23 % 20.08/5.23 | % 20.08/5.23 | Combining equations (1098,1086) yields a new equation: % 20.08/5.23 | (1099) all_0_9_9 = e23 % 20.08/5.23 | % 20.08/5.23 | Combining equations (1096,1089) yields a new equation: % 20.08/5.23 | (1100) all_0_11_11 = e21 % 20.08/5.23 | % 20.08/5.23 | Combining equations (1094,1090) yields a new equation: % 20.08/5.23 | (1101) all_0_10_10 = e20 % 20.08/5.23 | % 20.08/5.23 | Simplifying 1101 yields: % 20.08/5.23 | (1102) all_0_10_10 = e20 % 20.08/5.23 | % 20.08/5.23 | Combining equations (1100,1089) yields a new equation: % 20.08/5.23 | (1096) all_0_6_6 = e21 % 20.08/5.23 | % 20.08/5.23 | Combining equations (1099,1086) yields a new equation: % 20.08/5.23 | (1098) all_0_4_4 = e23 % 20.08/5.23 | % 20.08/5.23 | Combining equations (1102,1092) yields a new equation: % 20.08/5.23 | (1105) all_0_0_0 = e20 % 20.08/5.23 | % 20.08/5.23 +-Applying beta-rule and splitting (69), into two cases. % 20.08/5.23 |-Branch one: % 20.08/5.23 | (1106) ~ (all_0_0_0 = all_0_123_123) % 20.08/5.23 | % 20.08/5.23 | Equations (1105,462) can reduce 1106 to: % 20.08/5.23 | (423) $false % 20.08/5.23 | % 20.08/5.23 |-The branch is then unsatisfiable % 20.08/5.23 |-Branch two: % 20.08/5.23 | (1108) all_0_0_0 = all_0_123_123 % 20.08/5.23 | (1109) ~ (all_0_1_1 = all_0_124_124) | ~ (all_0_2_2 = all_0_125_125) | ~ (all_0_3_3 = all_0_126_126) | ~ (all_0_4_4 = all_0_127_127) | ~ (all_0_5_5 = all_0_128_128) | ~ (all_0_6_6 = all_0_129_129) | ~ (all_0_7_7 = all_0_130_130) | ~ (all_0_8_8 = all_0_131_131) | ~ (all_0_9_9 = all_0_132_132) | ~ (all_0_10_10 = all_0_133_133) | ~ (all_0_11_11 = all_0_134_134) % 20.08/5.23 | % 20.08/5.23 +-Applying beta-rule and splitting (1109), into two cases. % 20.08/5.23 |-Branch one: % 20.08/5.23 | (1110) ~ (all_0_1_1 = all_0_124_124) % 20.08/5.23 | % 20.08/5.23 | Equations (1087,487) can reduce 1110 to: % 20.08/5.23 | (423) $false % 20.08/5.23 | % 20.08/5.23 |-The branch is then unsatisfiable % 20.08/5.23 |-Branch two: % 20.08/5.23 | (1112) all_0_1_1 = all_0_124_124 % 20.08/5.23 | (1113) ~ (all_0_2_2 = all_0_125_125) | ~ (all_0_3_3 = all_0_126_126) | ~ (all_0_4_4 = all_0_127_127) | ~ (all_0_5_5 = all_0_128_128) | ~ (all_0_6_6 = all_0_129_129) | ~ (all_0_7_7 = all_0_130_130) | ~ (all_0_8_8 = all_0_131_131) | ~ (all_0_9_9 = all_0_132_132) | ~ (all_0_10_10 = all_0_133_133) | ~ (all_0_11_11 = all_0_134_134) % 20.08/5.23 | % 20.08/5.23 +-Applying beta-rule and splitting (1113), into two cases. % 20.08/5.23 |-Branch one: % 20.08/5.23 | (1114) ~ (all_0_2_2 = all_0_125_125) % 20.08/5.24 | % 20.08/5.24 | Equations (1084,775) can reduce 1114 to: % 20.08/5.24 | (423) $false % 20.08/5.24 | % 20.08/5.24 |-The branch is then unsatisfiable % 20.08/5.24 |-Branch two: % 20.08/5.24 | (1116) all_0_2_2 = all_0_125_125 % 20.08/5.24 | (1117) ~ (all_0_3_3 = all_0_126_126) | ~ (all_0_4_4 = all_0_127_127) | ~ (all_0_5_5 = all_0_128_128) | ~ (all_0_6_6 = all_0_129_129) | ~ (all_0_7_7 = all_0_130_130) | ~ (all_0_8_8 = all_0_131_131) | ~ (all_0_9_9 = all_0_132_132) | ~ (all_0_10_10 = all_0_133_133) | ~ (all_0_11_11 = all_0_134_134) % 20.08/5.24 | % 20.08/5.24 +-Applying beta-rule and splitting (1117), into two cases. % 20.08/5.24 |-Branch one: % 20.08/5.24 | (1118) ~ (all_0_3_3 = all_0_126_126) % 20.08/5.24 | % 20.08/5.24 | Equations (992,428) can reduce 1118 to: % 20.08/5.24 | (423) $false % 20.08/5.24 | % 20.08/5.24 |-The branch is then unsatisfiable % 20.08/5.24 |-Branch two: % 20.08/5.24 | (1120) all_0_3_3 = all_0_126_126 % 20.08/5.24 | (1121) ~ (all_0_4_4 = all_0_127_127) | ~ (all_0_5_5 = all_0_128_128) | ~ (all_0_6_6 = all_0_129_129) | ~ (all_0_7_7 = all_0_130_130) | ~ (all_0_8_8 = all_0_131_131) | ~ (all_0_9_9 = all_0_132_132) | ~ (all_0_10_10 = all_0_133_133) | ~ (all_0_11_11 = all_0_134_134) % 20.08/5.24 | % 20.08/5.24 +-Applying beta-rule and splitting (1121), into two cases. % 20.08/5.24 |-Branch one: % 20.08/5.24 | (1122) ~ (all_0_4_4 = all_0_127_127) % 20.08/5.24 | % 20.08/5.24 | Equations (1098,933) can reduce 1122 to: % 20.08/5.24 | (423) $false % 20.08/5.24 | % 20.08/5.24 |-The branch is then unsatisfiable % 20.08/5.24 |-Branch two: % 20.08/5.24 | (1124) all_0_4_4 = all_0_127_127 % 20.08/5.24 | (1125) ~ (all_0_5_5 = all_0_128_128) | ~ (all_0_6_6 = all_0_129_129) | ~ (all_0_7_7 = all_0_130_130) | ~ (all_0_8_8 = all_0_131_131) | ~ (all_0_9_9 = all_0_132_132) | ~ (all_0_10_10 = all_0_133_133) | ~ (all_0_11_11 = all_0_134_134) % 20.08/5.24 | % 20.08/5.24 +-Applying beta-rule and splitting (1125), into two cases. % 20.08/5.24 |-Branch one: % 20.08/5.24 | (1126) ~ (all_0_5_5 = all_0_128_128) % 20.08/5.24 | % 20.08/5.24 | Equations (994,503) can reduce 1126 to: % 20.08/5.24 | (423) $false % 20.08/5.24 | % 20.08/5.24 |-The branch is then unsatisfiable % 20.08/5.24 |-Branch two: % 20.08/5.24 | (1128) all_0_5_5 = all_0_128_128 % 20.08/5.24 | (1129) ~ (all_0_6_6 = all_0_129_129) | ~ (all_0_7_7 = all_0_130_130) | ~ (all_0_8_8 = all_0_131_131) | ~ (all_0_9_9 = all_0_132_132) | ~ (all_0_10_10 = all_0_133_133) | ~ (all_0_11_11 = all_0_134_134) % 20.08/5.24 | % 20.08/5.24 +-Applying beta-rule and splitting (1129), into two cases. % 20.08/5.24 |-Branch one: % 20.08/5.24 | (1130) ~ (all_0_6_6 = all_0_129_129) % 20.08/5.24 | % 20.08/5.24 | Equations (1096,475) can reduce 1130 to: % 20.08/5.24 | (423) $false % 20.08/5.24 | % 20.08/5.24 |-The branch is then unsatisfiable % 20.08/5.24 |-Branch two: % 20.08/5.24 | (1132) all_0_6_6 = all_0_129_129 % 20.08/5.24 | (1133) ~ (all_0_7_7 = all_0_130_130) | ~ (all_0_8_8 = all_0_131_131) | ~ (all_0_9_9 = all_0_132_132) | ~ (all_0_10_10 = all_0_133_133) | ~ (all_0_11_11 = all_0_134_134) % 20.08/5.24 | % 20.08/5.24 +-Applying beta-rule and splitting (1133), into two cases. % 20.08/5.24 |-Branch one: % 20.08/5.24 | (1134) ~ (all_0_7_7 = all_0_130_130) % 20.08/5.24 | % 20.08/5.24 | Equations (1090,473) can reduce 1134 to: % 20.08/5.24 | (423) $false % 20.08/5.24 | % 20.08/5.24 |-The branch is then unsatisfiable % 20.08/5.24 |-Branch two: % 20.08/5.24 | (1136) all_0_7_7 = all_0_130_130 % 20.08/5.24 | (1137) ~ (all_0_8_8 = all_0_131_131) | ~ (all_0_9_9 = all_0_132_132) | ~ (all_0_10_10 = all_0_133_133) | ~ (all_0_11_11 = all_0_134_134) % 20.08/5.24 | % 20.08/5.24 +-Applying beta-rule and splitting (1137), into two cases. % 20.08/5.24 |-Branch one: % 20.08/5.24 | (1138) ~ (all_0_8_8 = all_0_131_131) % 20.08/5.24 | % 20.08/5.24 | Equations (971,628) can reduce 1138 to: % 20.08/5.24 | (423) $false % 20.08/5.24 | % 20.08/5.24 |-The branch is then unsatisfiable % 20.08/5.24 |-Branch two: % 20.08/5.24 | (1140) all_0_8_8 = all_0_131_131 % 20.08/5.24 | (1141) ~ (all_0_9_9 = all_0_132_132) | ~ (all_0_10_10 = all_0_133_133) | ~ (all_0_11_11 = all_0_134_134) % 20.08/5.24 | % 20.08/5.24 +-Applying beta-rule and splitting (1141), into two cases. % 20.08/5.24 |-Branch one: % 20.08/5.24 | (1142) ~ (all_0_9_9 = all_0_132_132) % 20.08/5.24 | % 20.08/5.24 | Equations (1099,582) can reduce 1142 to: % 20.08/5.24 | (423) $false % 20.08/5.24 | % 20.08/5.24 |-The branch is then unsatisfiable % 20.08/5.24 |-Branch two: % 20.08/5.24 | (1144) all_0_9_9 = all_0_132_132 % 20.08/5.24 | (1145) ~ (all_0_10_10 = all_0_133_133) | ~ (all_0_11_11 = all_0_134_134) % 20.08/5.24 | % 20.08/5.24 +-Applying beta-rule and splitting (1145), into two cases. % 20.08/5.24 |-Branch one: % 20.08/5.24 | (1146) ~ (all_0_10_10 = all_0_133_133) % 20.08/5.24 | % 20.08/5.24 | Equations (1102,511) can reduce 1146 to: % 20.08/5.24 | (423) $false % 20.08/5.24 | % 20.08/5.24 |-The branch is then unsatisfiable % 20.08/5.24 |-Branch two: % 20.08/5.24 | (1148) all_0_10_10 = all_0_133_133 % 20.08/5.24 | (1149) ~ (all_0_11_11 = all_0_134_134) % 20.08/5.24 | % 20.08/5.24 | Equations (1100,393) can reduce 1149 to: % 20.08/5.24 | (423) $false % 20.08/5.24 | % 20.08/5.24 |-The branch is then unsatisfiable % 20.08/5.24 |-Branch two: % 20.08/5.24 | (1151) ~ (all_0_141_141 = e11) % 20.08/5.24 | (1043) all_0_142_142 = e11 % 20.08/5.24 | % 20.08/5.24 | Combining equations (996,1043) yields a new equation: % 20.08/5.24 | (1045) e11 = e10 % 20.08/5.24 | % 20.08/5.24 | Equations (1045) can reduce 297 to: % 20.08/5.24 | (423) $false % 20.08/5.24 | % 20.08/5.24 |-The branch is then unsatisfiable % 20.08/5.24 |-Branch two: % 20.08/5.24 | (1155) ~ (all_0_145_145 = e10) % 20.08/5.24 | (1156) all_0_145_145 = e13 | all_0_145_145 = e11 % 20.08/5.24 | % 20.08/5.24 +-Applying beta-rule and splitting (1007), into two cases. % 20.08/5.24 |-Branch one: % 20.08/5.24 | (1078) all_0_145_145 = e10 % 20.08/5.24 | % 20.08/5.24 | Equations (1078) can reduce 1155 to: % 20.08/5.24 | (423) $false % 20.08/5.24 | % 20.08/5.24 |-The branch is then unsatisfiable % 20.08/5.24 |-Branch two: % 20.08/5.24 | (1155) ~ (all_0_145_145 = e10) % 20.08/5.24 | (1009) all_0_146_146 = e10 % 20.08/5.24 | % 20.08/5.24 | Combining equations (1009,1048) yields a new equation: % 20.08/5.24 | (1045) e11 = e10 % 20.08/5.24 | % 20.08/5.24 | Equations (1045) can reduce 297 to: % 20.08/5.24 | (423) $false % 20.08/5.24 | % 20.08/5.24 |-The branch is then unsatisfiable % 20.08/5.24 |-Branch two: % 20.08/5.24 | (1163) ~ (all_0_137_137 = e13) % 20.08/5.24 | (1164) all_0_141_141 = e13 | all_0_145_145 = e13 % 20.08/5.24 | % 20.08/5.24 +-Applying beta-rule and splitting (1007), into two cases. % 20.08/5.24 |-Branch one: % 20.08/5.24 | (1078) all_0_145_145 = e10 % 20.08/5.24 | % 20.08/5.24 | Equations (1078) can reduce 1074 to: % 20.08/5.24 | (1166) ~ (e13 = e10) % 20.08/5.24 | % 20.08/5.24 | Simplifying 1166 yields: % 20.08/5.24 | (197) ~ (e13 = e10) % 20.08/5.24 | % 20.08/5.24 | Equations (1078) can reduce 1050 to: % 20.08/5.24 | (1033) ~ (e11 = e10) % 20.08/5.24 | % 20.08/5.24 | Simplifying 1033 yields: % 20.08/5.24 | (297) ~ (e11 = e10) % 20.08/5.24 | % 20.08/5.24 +-Applying beta-rule and splitting (8), into two cases. % 20.08/5.24 |-Branch one: % 20.08/5.24 | (1170) all_0_135_135 = e13 % 20.08/5.24 | % 20.08/5.24 | Combining equations (1030,1170) yields a new equation: % 20.08/5.24 | (1171) e13 = e10 % 20.08/5.24 | % 20.08/5.24 | Equations (1171) can reduce 197 to: % 20.08/5.24 | (423) $false % 20.08/5.24 | % 20.08/5.24 |-The branch is then unsatisfiable % 20.08/5.24 |-Branch two: % 20.08/5.24 | (1173) ~ (all_0_135_135 = e13) % 20.08/5.24 | (1174) all_0_136_136 = e13 | all_0_137_137 = e13 % 20.08/5.24 | % 20.08/5.24 | Equations (1030) can reduce 1173 to: % 20.08/5.24 | (1166) ~ (e13 = e10) % 20.08/5.24 | % 20.08/5.24 | Simplifying 1166 yields: % 20.08/5.24 | (197) ~ (e13 = e10) % 20.08/5.24 | % 20.08/5.24 +-Applying beta-rule and splitting (1068), into two cases. % 20.08/5.24 |-Branch one: % 20.08/5.24 | (1082) all_0_141_141 = e11 % 20.08/5.24 | % 20.08/5.24 | Equations (1082) can reduce 1041 to: % 20.08/5.24 | (1178) ~ (e13 = e11) % 20.08/5.24 | % 20.08/5.24 | Simplifying 1178 yields: % 20.08/5.24 | (349) ~ (e13 = e11) % 20.08/5.24 | % 20.08/5.24 +-Applying beta-rule and splitting (1164), into two cases. % 20.08/5.24 |-Branch one: % 20.08/5.24 | (1180) all_0_141_141 = e13 % 20.08/5.24 | % 20.08/5.24 | Combining equations (1082,1180) yields a new equation: % 20.08/5.24 | (1181) e13 = e11 % 20.08/5.24 | % 20.08/5.24 | Equations (1181) can reduce 349 to: % 20.08/5.24 | (423) $false % 20.08/5.24 | % 20.08/5.24 |-The branch is then unsatisfiable % 20.08/5.24 |-Branch two: % 20.08/5.24 | (1041) ~ (all_0_141_141 = e13) % 20.08/5.24 | (1184) all_0_145_145 = e13 % 20.08/5.24 | % 20.08/5.24 | Combining equations (1078,1184) yields a new equation: % 20.08/5.24 | (1171) e13 = e10 % 20.08/5.24 | % 20.08/5.24 | Equations (1171) can reduce 197 to: % 20.08/5.24 | (423) $false % 20.08/5.24 | % 20.08/5.24 |-The branch is then unsatisfiable % 20.08/5.24 |-Branch two: % 20.08/5.24 | (1151) ~ (all_0_141_141 = e11) % 20.08/5.24 | (1188) all_0_145_145 = e11 % 20.08/5.24 | % 20.08/5.24 | Combining equations (1188,1078) yields a new equation: % 20.08/5.24 | (1044) e11 = e10 % 20.08/5.24 | % 20.08/5.24 | Simplifying 1044 yields: % 20.08/5.24 | (1045) e11 = e10 % 20.08/5.24 | % 20.08/5.24 | Equations (1045) can reduce 297 to: % 20.08/5.24 | (423) $false % 20.08/5.24 | % 20.08/5.24 |-The branch is then unsatisfiable % 20.08/5.24 |-Branch two: % 20.08/5.24 | (1155) ~ (all_0_145_145 = e10) % 20.08/5.24 | (1009) all_0_146_146 = e10 % 20.08/5.24 | % 20.08/5.24 | Combining equations (1048,1009) yields a new equation: % 20.08/5.24 | (1044) e11 = e10 % 20.08/5.24 | % 20.08/5.24 | Simplifying 1044 yields: % 20.08/5.24 | (1045) e11 = e10 % 20.08/5.24 | % 20.08/5.24 | Equations (1045) can reduce 297 to: % 20.08/5.24 | (423) $false % 20.08/5.24 | % 20.08/5.24 |-The branch is then unsatisfiable % 20.08/5.24 |-Branch two: % 20.08/5.24 | (1197) ~ (all_0_136_136 = e11) % 20.08/5.24 | (1198) all_0_140_140 = e11 | all_0_144_144 = e11 % 20.08/5.24 | % 20.08/5.24 +-Applying beta-rule and splitting (268), into two cases. % 20.08/5.24 |-Branch one: % 20.08/5.24 | (1058) all_0_136_136 = e11 % 20.08/5.24 | % 20.08/5.24 | Equations (1058) can reduce 1197 to: % 20.08/5.24 | (423) $false % 20.08/5.24 | % 20.08/5.24 |-The branch is then unsatisfiable % 20.08/5.24 |-Branch two: % 20.08/5.24 | (1197) ~ (all_0_136_136 = e11) % 20.08/5.24 | (1202) all_0_137_137 = e11 | all_0_138_138 = e11 % 20.08/5.24 | % 20.08/5.24 +-Applying beta-rule and splitting (1057), into two cases. % 20.08/5.24 |-Branch one: % 20.08/5.24 | (1069) all_0_144_144 = e11 % 20.08/5.24 | % 20.08/5.24 | Equations (1069) can reduce 1049 to: % 20.08/5.24 | (423) $false % 20.08/5.24 | % 20.08/5.24 |-The branch is then unsatisfiable % 20.08/5.24 |-Branch two: % 20.08/5.24 | (1049) ~ (all_0_144_144 = e11) % 20.08/5.24 | (1072) all_0_144_144 = e13 % 20.08/5.24 | % 20.08/5.24 | Equations (1072) can reduce 1049 to: % 20.08/5.24 | (349) ~ (e13 = e11) % 20.08/5.24 | % 20.08/5.24 +-Applying beta-rule and splitting (1202), into two cases. % 20.08/5.24 |-Branch one: % 20.08/5.24 | (1065) all_0_137_137 = e11 % 20.08/5.24 | % 20.08/5.24 | Equations (1065) can reduce 255 to: % 20.08/5.24 | (1051) ~ (e12 = e11) % 20.08/5.24 | % 20.08/5.24 | Simplifying 1051 yields: % 20.08/5.24 | (313) ~ (e12 = e11) % 20.08/5.24 | % 20.08/5.24 +-Applying beta-rule and splitting (1198), into two cases. % 20.08/5.24 |-Branch one: % 20.08/5.24 | (1024) all_0_140_140 = e11 % 20.08/5.24 | % 20.08/5.24 | Combining equations (1024,984) yields a new equation: % 20.08/5.24 | (1019) e12 = e11 % 20.08/5.24 | % 20.08/5.24 | Equations (1019) can reduce 313 to: % 20.08/5.24 | (423) $false % 20.08/5.24 | % 20.08/5.24 |-The branch is then unsatisfiable % 20.08/5.24 |-Branch two: % 20.08/5.24 | (1028) ~ (all_0_140_140 = e11) % 20.08/5.24 | (1069) all_0_144_144 = e11 % 20.08/5.24 | % 20.08/5.24 | Combining equations (1072,1069) yields a new equation: % 20.08/5.24 | (1216) e13 = e11 % 20.08/5.24 | % 20.08/5.24 | Simplifying 1216 yields: % 20.08/5.24 | (1181) e13 = e11 % 20.08/5.24 | % 20.08/5.24 | Equations (1181) can reduce 349 to: % 20.08/5.24 | (423) $false % 20.08/5.24 | % 20.08/5.24 |-The branch is then unsatisfiable % 20.08/5.24 |-Branch two: % 20.08/5.24 | (1060) ~ (all_0_137_137 = e11) % 20.08/5.24 | (1017) all_0_138_138 = e11 % 20.08/5.24 | % 20.08/5.24 | Combining equations (973,1017) yields a new equation: % 20.08/5.24 | (1018) e12 = e11 % 20.08/5.24 | % 20.08/5.24 | Simplifying 1018 yields: % 20.08/5.24 | (1019) e12 = e11 % 20.08/5.24 | % 20.08/5.25 | Equations (1019) can reduce 313 to: % 20.08/5.25 | (423) $false % 20.08/5.25 | % 20.08/5.25 |-The branch is then unsatisfiable % 20.08/5.25 |-Branch two: % 20.08/5.25 | (1224) ~ (all_0_135_135 = e10) % 20.08/5.25 | (1225) all_0_139_139 = e10 | all_0_143_143 = e10 % 20.08/5.25 | % 20.08/5.25 +-Applying beta-rule and splitting (181), into two cases. % 20.08/5.25 |-Branch one: % 20.08/5.25 | (1030) all_0_135_135 = e10 % 20.08/5.25 | % 20.08/5.25 | Equations (1030) can reduce 1224 to: % 20.08/5.25 | (423) $false % 20.08/5.25 | % 20.08/5.25 |-The branch is then unsatisfiable % 20.08/5.25 |-Branch two: % 20.08/5.25 | (1224) ~ (all_0_135_135 = e10) % 20.08/5.25 | (1229) all_0_137_137 = e10 | all_0_138_138 = e10 % 20.08/5.25 | % 20.08/5.25 +-Applying beta-rule and splitting (1229), into two cases. % 20.08/5.25 |-Branch one: % 20.08/5.25 | (1230) all_0_137_137 = e10 % 20.08/5.25 | % 20.08/5.25 | Equations (1230) can reduce 82 to: % 20.08/5.25 | (1231) ~ (all_0_145_145 = e10) % 20.08/5.25 | % 20.08/5.25 | Simplifying 1231 yields: % 20.08/5.25 | (1155) ~ (all_0_145_145 = e10) % 20.08/5.25 | % 20.08/5.25 +-Applying beta-rule and splitting (1007), into two cases. % 20.08/5.25 |-Branch one: % 20.08/5.25 | (1078) all_0_145_145 = e10 % 20.08/5.25 | % 20.08/5.25 | Equations (1078) can reduce 1155 to: % 20.08/5.25 | (423) $false % 20.08/5.25 | % 20.08/5.25 |-The branch is then unsatisfiable % 20.08/5.25 |-Branch two: % 20.08/5.25 | (1155) ~ (all_0_145_145 = e10) % 20.08/5.25 | (1009) all_0_146_146 = e10 % 20.08/5.25 | % 20.08/5.25 | Equations (1009) can reduce 999 to: % 20.08/5.25 | (423) $false % 20.08/5.25 | % 20.08/5.25 |-The branch is then unsatisfiable % 20.08/5.25 |-Branch two: % 20.08/5.25 | (1238) ~ (all_0_137_137 = e10) % 20.08/5.25 | (1239) all_0_138_138 = e10 % 20.08/5.25 | % 20.08/5.25 | Combining equations (1239,973) yields a new equation: % 20.08/5.25 | (1004) e12 = e10 % 20.08/5.25 | % 20.08/5.25 | Equations (1004) can reduce 165 to: % 20.08/5.25 | (423) $false % 20.08/5.25 | % 20.08/5.25 |-The branch is then unsatisfiable % 20.08/5.25 |-Branch two: % 20.08/5.25 | (1242) ~ (all_0_142_142 = e10) % 20.08/5.25 | (1243) all_0_142_142 = e12 | all_0_142_142 = e11 % 20.08/5.25 | % 20.08/5.25 +-Applying beta-rule and splitting (1243), into two cases. % 20.08/5.25 |-Branch one: % 20.08/5.25 | (1244) all_0_142_142 = e12 % 20.08/5.25 | % 20.08/5.25 | Equations (1244) can reduce 987 to: % 20.08/5.25 | (423) $false % 20.08/5.25 | % 20.08/5.25 |-The branch is then unsatisfiable % 20.08/5.25 |-Branch two: % 20.08/5.25 | (987) ~ (all_0_142_142 = e12) % 20.08/5.25 | (1043) all_0_142_142 = e11 % 20.08/5.25 | % 20.08/5.25 | Equations (1043) can reduce 987 to: % 20.08/5.25 | (1051) ~ (e12 = e11) % 20.08/5.25 | % 20.08/5.25 | Simplifying 1051 yields: % 20.08/5.25 | (313) ~ (e12 = e11) % 20.08/5.25 | % 20.08/5.25 | Equations (1043) can reduce 1242 to: % 20.08/5.25 | (297) ~ (e11 = e10) % 20.08/5.25 | % 20.08/5.25 +-Applying beta-rule and splitting (224), into two cases. % 20.08/5.25 |-Branch one: % 20.08/5.25 | (1009) all_0_146_146 = e10 % 20.08/5.25 | % 20.08/5.25 | Equations (1009) can reduce 328 to: % 20.08/5.25 | (1155) ~ (all_0_145_145 = e10) % 20.08/5.25 | % 20.08/5.25 | Equations (1009) can reduce 966 to: % 20.08/5.25 | (1000) ~ (e12 = e10) % 20.08/5.25 | % 20.08/5.25 | Simplifying 1000 yields: % 20.08/5.25 | (165) ~ (e12 = e10) % 20.08/5.25 | % 20.08/5.25 +-Applying beta-rule and splitting (335), into two cases. % 20.08/5.25 |-Branch one: % 20.08/5.25 | (1003) all_0_143_143 = e10 % 20.08/5.25 | % 20.08/5.25 | Combining equations (959,1003) yields a new equation: % 20.08/5.25 | (1256) e12 = e10 % 20.08/5.25 | % 20.08/5.25 | Simplifying 1256 yields: % 20.08/5.25 | (1004) e12 = e10 % 20.08/5.25 | % 20.08/5.25 | Equations (1004) can reduce 165 to: % 20.08/5.25 | (423) $false % 20.08/5.25 | % 20.08/5.25 |-The branch is then unsatisfiable % 20.08/5.25 |-Branch two: % 20.08/5.25 | (1006) ~ (all_0_143_143 = e10) % 20.08/5.25 | (1260) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11)) | ( ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 20.08/5.25 | % 20.08/5.25 +-Applying beta-rule and splitting (1260), into two cases. % 20.08/5.25 |-Branch one: % 20.08/5.25 | (1261) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11)) % 20.08/5.25 | % 20.08/5.25 +-Applying beta-rule and splitting (1261), into two cases. % 20.08/5.25 |-Branch one: % 20.08/5.25 | (1262) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 20.08/5.25 | % 20.08/5.25 +-Applying beta-rule and splitting (1262), into two cases. % 20.08/5.25 |-Branch one: % 20.08/5.25 | (1263) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) % 20.08/5.25 | % 20.08/5.25 +-Applying beta-rule and splitting (1263), into two cases. % 20.08/5.25 |-Branch one: % 20.08/5.25 | (1264) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 20.08/5.25 | % 20.08/5.25 +-Applying beta-rule and splitting (1264), into two cases. % 20.08/5.25 |-Branch one: % 20.08/5.25 | (1265) all_0_135_135 = e12 & ~ (all_0_136_136 = e13) % 20.08/5.25 | % 20.08/5.25 | Applying alpha-rule on (1265) yields: % 20.08/5.25 | (1266) all_0_135_135 = e12 % 20.08/5.25 | (1267) ~ (all_0_136_136 = e13) % 20.08/5.25 | % 20.08/5.25 | Equations (1266) can reduce 960 to: % 20.08/5.25 | (423) $false % 20.08/5.25 | % 20.08/5.25 |-The branch is then unsatisfiable % 20.08/5.25 |-Branch two: % 20.08/5.25 | (1269) all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 20.08/5.25 | % 20.08/5.25 | Applying alpha-rule on (1269) yields: % 20.08/5.25 | (1050) ~ (all_0_145_145 = e11) % 20.08/5.25 | (999) ~ (all_0_146_146 = e10) % 20.08/5.25 | (973) all_0_138_138 = e12 % 20.08/5.25 | (962) ~ (all_0_144_144 = e12) % 20.08/5.25 | (1274) ~ (all_0_143_143 = e13) % 20.08/5.25 | % 20.08/5.25 | Equations (1009) can reduce 999 to: % 20.08/5.25 | (423) $false % 20.08/5.25 | % 20.08/5.25 |-The branch is then unsatisfiable % 20.08/5.25 |-Branch two: % 20.08/5.25 | (1276) all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10) % 20.08/5.25 | % 20.08/5.25 | Applying alpha-rule on (1276) yields: % 20.08/5.25 | (1277) ~ (all_0_138_138 = e10) % 20.08/5.25 | (1060) ~ (all_0_137_137 = e11) % 20.08/5.25 | (1024) all_0_140_140 = e11 % 20.08/5.25 | (1173) ~ (all_0_135_135 = e13) % 20.08/5.25 | (975) ~ (all_0_136_136 = e12) % 20.08/5.25 | % 20.08/5.25 | Combining equations (1024,984) yields a new equation: % 20.08/5.25 | (1019) e12 = e11 % 20.08/5.25 | % 20.08/5.25 | Equations (1019) can reduce 313 to: % 20.08/5.25 | (423) $false % 20.08/5.25 | % 20.08/5.25 |-The branch is then unsatisfiable % 20.08/5.25 |-Branch two: % 20.08/5.25 | (1284) all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 20.08/5.25 | % 20.08/5.25 | Applying alpha-rule on (1284) yields: % 20.08/5.25 | (1050) ~ (all_0_145_145 = e11) % 20.08/5.25 | (999) ~ (all_0_146_146 = e10) % 20.08/5.25 | (1287) ~ (all_0_141_141 = e10) % 20.08/5.25 | (962) ~ (all_0_144_144 = e12) % 20.08/5.25 | (1274) ~ (all_0_143_143 = e13) % 20.08/5.25 | (1043) all_0_142_142 = e11 % 20.08/5.25 | % 20.08/5.25 | Equations (1009) can reduce 999 to: % 20.08/5.25 | (423) $false % 20.08/5.25 | % 20.08/5.25 |-The branch is then unsatisfiable % 20.08/5.25 |-Branch two: % 20.08/5.25 | (1292) all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11) % 20.08/5.25 | % 20.08/5.25 | Applying alpha-rule on (1292) yields: % 20.08/5.25 | (1242) ~ (all_0_142_142 = e10) % 20.08/5.25 | (1294) ~ (all_0_146_146 = e11) % 20.08/5.25 | (1295) ~ (all_0_140_140 = e12) % 20.08/5.25 | (1296) ~ (all_0_139_139 = e13) % 20.08/5.25 | (1078) all_0_145_145 = e10 % 20.08/5.25 | (1151) ~ (all_0_141_141 = e11) % 20.08/5.25 | % 20.08/5.25 | Equations (1078) can reduce 1155 to: % 20.08/5.25 | (423) $false % 20.08/5.25 | % 20.08/5.25 |-The branch is then unsatisfiable % 20.08/5.25 |-Branch two: % 20.08/5.25 | (1300) ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 20.08/5.25 | % 20.08/5.25 | Applying alpha-rule on (1300) yields: % 20.08/5.25 | (1274) ~ (all_0_143_143 = e13) % 20.08/5.25 | (962) ~ (all_0_144_144 = e12) % 20.08/5.25 | (1050) ~ (all_0_145_145 = e11) % 20.08/5.25 | (999) ~ (all_0_146_146 = e10) % 20.08/5.25 | % 20.08/5.25 | Equations (1009) can reduce 999 to: % 20.08/5.25 | (423) $false % 20.08/5.25 | % 20.08/5.25 |-The branch is then unsatisfiable % 20.08/5.25 |-Branch two: % 20.08/5.25 | (999) ~ (all_0_146_146 = e10) % 20.08/5.25 | (1012) all_0_146_146 = e12 | all_0_146_146 = e11 % 20.08/5.25 | % 20.08/5.25 +-Applying beta-rule and splitting (210), into two cases. % 20.08/5.25 |-Branch one: % 20.08/5.25 | (1239) all_0_138_138 = e10 % 20.08/5.25 | % 20.08/5.25 | Combining equations (973,1239) yields a new equation: % 20.08/5.25 | (1256) e12 = e10 % 20.08/5.25 | % 20.08/5.25 | Simplifying 1256 yields: % 20.08/5.25 | (1004) e12 = e10 % 20.08/5.25 | % 20.08/5.25 | Equations (1004) can reduce 165 to: % 20.08/5.25 | (423) $false % 20.08/5.25 | % 20.08/5.25 |-The branch is then unsatisfiable % 20.08/5.25 |-Branch two: % 20.08/5.25 | (1277) ~ (all_0_138_138 = e10) % 20.08/5.25 | (1313) all_0_142_142 = e10 | all_0_146_146 = e10 % 20.08/5.25 | % 20.08/5.25 +-Applying beta-rule and splitting (1313), into two cases. % 20.08/5.25 |-Branch one: % 20.08/5.25 | (996) all_0_142_142 = e10 % 20.08/5.25 | % 20.08/5.25 | Combining equations (1043,996) yields a new equation: % 20.08/5.25 | (1044) e11 = e10 % 20.08/5.25 | % 20.08/5.25 | Simplifying 1044 yields: % 20.08/5.25 | (1045) e11 = e10 % 20.08/5.25 | % 20.08/5.25 | Equations (1045) can reduce 297 to: % 20.08/5.25 | (423) $false % 20.08/5.25 | % 20.08/5.25 |-The branch is then unsatisfiable % 20.08/5.25 |-Branch two: % 20.08/5.25 | (1242) ~ (all_0_142_142 = e10) % 20.08/5.25 | (1009) all_0_146_146 = e10 % 20.08/5.25 | % 20.08/5.25 | Equations (1009) can reduce 999 to: % 20.08/5.25 | (423) $false % 20.08/5.25 | % 20.08/5.25 |-The branch is then unsatisfiable % 20.08/5.25 |-Branch two: % 20.08/5.25 | (1295) ~ (all_0_140_140 = e12) % 20.08/5.25 | (1054) all_0_144_144 = e12 % 20.08/5.25 | % 20.08/5.25 | Equations (1054) can reduce 962 to: % 20.08/5.25 | (423) $false % 20.08/5.25 | % 20.08/5.25 |-The branch is then unsatisfiable % 20.08/5.25 |-Branch two: % 20.08/5.26 | (1324) ~ (all_0_138_138 = e12) % 20.08/5.26 | (1325) all_0_142_142 = e12 | all_0_146_146 = e12 % 20.08/5.26 | % 20.08/5.26 +-Applying beta-rule and splitting (285), into two cases. % 20.08/5.26 |-Branch one: % 20.08/5.26 | (1266) all_0_135_135 = e12 % 20.08/5.26 | % 20.08/5.26 | Equations (1266) can reduce 960 to: % 20.08/5.26 | (423) $false % 20.08/5.26 | % 20.08/5.26 |-The branch is then unsatisfiable % 20.08/5.26 |-Branch two: % 20.08/5.26 | (960) ~ (all_0_135_135 = e12) % 20.08/5.26 | (1329) all_0_136_136 = e12 | all_0_138_138 = e12 % 20.08/5.26 | % 20.08/5.26 +-Applying beta-rule and splitting (1325), into two cases. % 20.08/5.26 |-Branch one: % 20.08/5.26 | (1244) all_0_142_142 = e12 % 20.08/5.26 | % 20.08/5.26 | Equations (1244) can reduce 316 to: % 20.08/5.26 | (1324) ~ (all_0_138_138 = e12) % 20.08/5.26 | % 20.08/5.26 | Equations (1244) can reduce 320 to: % 20.08/5.26 | (985) ~ (all_0_139_139 = e12) % 20.08/5.26 | % 20.08/5.26 | Equations (1244) can reduce 117 to: % 20.08/5.26 | (99) ~ (all_0_141_141 = e12) % 20.08/5.26 | % 20.08/5.26 | Equations (1244) can reduce 115 to: % 20.08/5.26 | (965) ~ (all_0_146_146 = e12) % 20.08/5.26 | % 20.08/5.26 | Simplifying 965 yields: % 20.08/5.26 | (966) ~ (all_0_146_146 = e12) % 20.08/5.26 | % 20.08/5.26 | From (1244) and (269) follows: % 20.08/5.26 | (1336) op1(e12, e11) = all_0_121_121 % 20.08/5.26 | % 20.08/5.26 | From (1244) and (245) follows: % 20.08/5.26 | (1337) op1(e11, e10) = e12 % 20.08/5.26 | % 20.08/5.26 +-Applying beta-rule and splitting (1329), into two cases. % 20.08/5.26 |-Branch one: % 20.08/5.26 | (980) all_0_136_136 = e12 % 20.08/5.26 | % 20.08/5.26 | Equations (980) can reduce 279 to: % 20.08/5.26 | (960) ~ (all_0_135_135 = e12) % 20.08/5.26 | % 20.08/5.26 | Equations (980) can reduce 220 to: % 20.08/5.26 | (1340) ~ (all_0_137_137 = e12) % 20.08/5.26 | % 20.08/5.26 | Simplifying 1340 yields: % 20.08/5.26 | (255) ~ (all_0_137_137 = e12) % 20.08/5.26 | % 20.08/5.26 | Equations (980) can reduce 319 to: % 20.08/5.26 | (1342) ~ (all_0_138_138 = e12) % 20.08/5.26 | % 20.08/5.26 | Simplifying 1342 yields: % 20.08/5.26 | (1324) ~ (all_0_138_138 = e12) % 20.08/5.26 | % 20.08/5.26 | Equations (980) can reduce 266 to: % 20.08/5.26 | (1344) ~ (all_0_140_140 = e12) % 20.08/5.26 | % 20.08/5.26 | Simplifying 1344 yields: % 20.08/5.26 | (1295) ~ (all_0_140_140 = e12) % 20.08/5.26 | % 20.08/5.26 | Equations (980) can reduce 196 to: % 20.08/5.26 | (961) ~ (all_0_144_144 = e12) % 20.08/5.26 | % 20.08/5.26 | Simplifying 961 yields: % 20.08/5.26 | (962) ~ (all_0_144_144 = e12) % 20.08/5.26 | % 20.08/5.26 | Equations (980) can reduce 32 to: % 20.08/5.26 | (165) ~ (e12 = e10) % 20.08/5.26 | % 20.08/5.26 | Instantiating formula (312) with e12, e11, all_0_121_121, all_0_137_137 and discharging atoms op1(e12, e11) = all_0_121_121, op1(e12, e11) = all_0_137_137, yields: % 20.08/5.26 | (1349) all_0_121_121 = all_0_137_137 % 20.08/5.26 | % 20.08/5.26 +-Applying beta-rule and splitting (334), into two cases. % 20.08/5.26 |-Branch one: % 20.08/5.26 | (1054) all_0_144_144 = e12 % 20.08/5.26 | % 20.08/5.26 | Equations (1054) can reduce 962 to: % 20.08/5.26 | (423) $false % 20.08/5.26 | % 20.08/5.26 |-The branch is then unsatisfiable % 20.08/5.26 |-Branch two: % 20.08/5.26 | (962) ~ (all_0_144_144 = e12) % 20.08/5.26 | (1057) all_0_144_144 = e13 | all_0_144_144 = e11 % 20.08/5.26 | % 20.08/5.26 +-Applying beta-rule and splitting (309), into two cases. % 20.08/5.26 |-Branch one: % 20.08/5.26 | (1030) all_0_135_135 = e10 % 20.08/5.26 | % 20.08/5.26 | Equations (1030) can reduce 29 to: % 20.08/5.26 | (1355) ~ (all_0_137_137 = e10) % 20.08/5.26 | % 20.08/5.26 | Simplifying 1355 yields: % 20.08/5.26 | (1238) ~ (all_0_137_137 = e10) % 20.08/5.26 | % 20.08/5.26 | Equations (1030) can reduce 2 to: % 20.08/5.26 | (1357) ~ (all_0_139_139 = e10) % 20.08/5.26 | % 20.08/5.26 | Simplifying 1357 yields: % 20.08/5.26 | (997) ~ (all_0_139_139 = e10) % 20.08/5.26 | % 20.08/5.26 | Equations (1030) can reduce 960 to: % 20.08/5.26 | (1000) ~ (e12 = e10) % 20.08/5.26 | % 20.08/5.26 | Simplifying 1000 yields: % 20.08/5.26 | (165) ~ (e12 = e10) % 20.08/5.26 | % 20.08/5.26 | Equations (1030) can reduce 204 to: % 20.08/5.26 | (1033) ~ (e11 = e10) % 20.08/5.26 | % 20.08/5.26 | Simplifying 1033 yields: % 20.08/5.26 | (297) ~ (e11 = e10) % 20.08/5.26 | % 20.08/5.26 +-Applying beta-rule and splitting (127), into two cases. % 20.08/5.26 |-Branch one: % 20.08/5.26 | (1013) all_0_139_139 = e10 % 20.08/5.26 | % 20.08/5.26 | Equations (1013) can reduce 997 to: % 20.08/5.26 | (423) $false % 20.08/5.26 | % 20.08/5.26 |-The branch is then unsatisfiable % 20.08/5.26 |-Branch two: % 20.08/5.26 | (997) ~ (all_0_139_139 = e10) % 20.08/5.26 | (1016) all_0_139_139 = e13 | all_0_139_139 = e12 % 20.08/5.26 | % 20.08/5.26 +-Applying beta-rule and splitting (8), into two cases. % 20.08/5.26 |-Branch one: % 20.08/5.26 | (1170) all_0_135_135 = e13 % 20.08/5.26 | % 20.08/5.26 | Combining equations (1030,1170) yields a new equation: % 20.08/5.26 | (1171) e13 = e10 % 20.08/5.26 | % 20.08/5.26 | Equations (1171) can reduce 197 to: % 20.08/5.26 | (423) $false % 20.08/5.26 | % 20.08/5.26 |-The branch is then unsatisfiable % 20.08/5.26 |-Branch two: % 20.08/5.26 | (1173) ~ (all_0_135_135 = e13) % 20.08/5.26 | (1174) all_0_136_136 = e13 | all_0_137_137 = e13 % 20.08/5.26 | % 20.08/5.26 +-Applying beta-rule and splitting (1016), into two cases. % 20.08/5.26 |-Branch one: % 20.08/5.26 | (1036) all_0_139_139 = e12 % 20.08/5.26 | % 20.08/5.26 | Equations (1036) can reduce 985 to: % 20.08/5.26 | (423) $false % 20.08/5.26 | % 20.08/5.26 |-The branch is then unsatisfiable % 20.08/5.26 |-Branch two: % 20.08/5.26 | (985) ~ (all_0_139_139 = e12) % 20.08/5.26 | (1039) all_0_139_139 = e13 % 20.08/5.26 | % 20.08/5.26 | Equations (1039) can reduce 985 to: % 20.08/5.26 | (292) ~ (e13 = e12) % 20.08/5.26 | % 20.08/5.26 +-Applying beta-rule and splitting (203), into two cases. % 20.08/5.26 |-Branch one: % 20.08/5.26 | (984) all_0_140_140 = e12 % 20.08/5.26 | % 20.08/5.26 | Equations (984) can reduce 1295 to: % 20.08/5.26 | (423) $false % 20.08/5.26 | % 20.08/5.26 |-The branch is then unsatisfiable % 20.08/5.26 |-Branch two: % 20.08/5.26 | (1295) ~ (all_0_140_140 = e12) % 20.08/5.26 | (1380) all_0_140_140 = e13 | all_0_140_140 = e11 % 20.08/5.26 | % 20.08/5.26 +-Applying beta-rule and splitting (1174), into two cases. % 20.08/5.26 |-Branch one: % 20.08/5.26 | (1381) all_0_136_136 = e13 % 20.08/5.26 | % 20.08/5.26 | Combining equations (980,1381) yields a new equation: % 20.08/5.26 | (1382) e13 = e12 % 20.08/5.26 | % 20.08/5.26 | Equations (1382) can reduce 292 to: % 20.08/5.26 | (423) $false % 20.08/5.26 | % 20.08/5.26 |-The branch is then unsatisfiable % 20.08/5.26 |-Branch two: % 20.08/5.26 | (1267) ~ (all_0_136_136 = e13) % 20.08/5.26 | (1076) all_0_137_137 = e13 % 20.08/5.26 | % 20.08/5.26 | Equations (1076) can reduce 132 to: % 20.08/5.26 | (1386) ~ (all_0_138_138 = e13) % 20.08/5.26 | % 20.08/5.26 | Simplifying 1386 yields: % 20.08/5.26 | (102) ~ (all_0_138_138 = e13) % 20.08/5.26 | % 20.08/5.26 | Equations (1076) can reduce 1238 to: % 20.08/5.26 | (197) ~ (e13 = e10) % 20.08/5.26 | % 20.08/5.26 +-Applying beta-rule and splitting (109), into two cases. % 20.08/5.26 |-Branch one: % 20.08/5.26 | (1013) all_0_139_139 = e10 % 20.08/5.26 | % 20.08/5.26 | Combining equations (1039,1013) yields a new equation: % 20.08/5.26 | (1390) e13 = e10 % 20.08/5.26 | % 20.08/5.26 | Simplifying 1390 yields: % 20.08/5.26 | (1171) e13 = e10 % 20.08/5.26 | % 20.08/5.26 | Equations (1171) can reduce 197 to: % 20.08/5.26 | (423) $false % 20.08/5.26 | % 20.08/5.26 |-The branch is then unsatisfiable % 20.08/5.26 |-Branch two: % 20.08/5.26 | (997) ~ (all_0_139_139 = e10) % 20.08/5.26 | (1394) all_0_141_141 = e10 | all_0_142_142 = e10 % 20.08/5.26 | % 20.08/5.26 +-Applying beta-rule and splitting (1394), into two cases. % 20.08/5.26 |-Branch one: % 20.08/5.26 | (1395) all_0_141_141 = e10 % 20.08/5.26 | % 20.08/5.26 | Equations (1395) can reduce 264 to: % 20.08/5.26 | (222) ~ (all_0_140_140 = e10) % 20.08/5.26 | % 20.08/5.26 | Equations (1395) can reduce 305 to: % 20.08/5.26 | (1231) ~ (all_0_145_145 = e10) % 20.08/5.26 | % 20.08/5.26 | Simplifying 1231 yields: % 20.08/5.26 | (1155) ~ (all_0_145_145 = e10) % 20.08/5.26 | % 20.08/5.26 | Equations (1395) can reduce 99 to: % 20.08/5.26 | (1000) ~ (e12 = e10) % 20.08/5.26 | % 20.08/5.26 | Simplifying 1000 yields: % 20.08/5.26 | (165) ~ (e12 = e10) % 20.08/5.26 | % 20.08/5.26 +-Applying beta-rule and splitting (232), into two cases. % 20.08/5.26 |-Branch one: % 20.08/5.26 | (1003) all_0_143_143 = e10 % 20.08/5.26 | % 20.08/5.26 | Combining equations (1003,959) yields a new equation: % 20.08/5.26 | (1004) e12 = e10 % 20.08/5.26 | % 20.08/5.26 | Equations (1004) can reduce 165 to: % 20.08/5.26 | (423) $false % 20.08/5.26 | % 20.08/5.26 |-The branch is then unsatisfiable % 20.08/5.26 |-Branch two: % 20.08/5.26 | (1006) ~ (all_0_143_143 = e10) % 20.08/5.26 | (1007) all_0_145_145 = e10 | all_0_146_146 = e10 % 20.08/5.26 | % 20.08/5.26 +-Applying beta-rule and splitting (72), into two cases. % 20.08/5.26 |-Branch one: % 20.08/5.26 | (1024) all_0_140_140 = e11 % 20.08/5.26 | % 20.08/5.26 | Equations (1024) can reduce 48 to: % 20.08/5.26 | (1061) ~ (all_0_144_144 = e11) % 20.08/5.26 | % 20.08/5.26 | Simplifying 1061 yields: % 20.08/5.26 | (1049) ~ (all_0_144_144 = e11) % 20.08/5.26 | % 20.08/5.26 | Equations (1024) can reduce 1295 to: % 20.08/5.26 | (1051) ~ (e12 = e11) % 20.08/5.26 | % 20.08/5.26 | Simplifying 1051 yields: % 20.08/5.26 | (313) ~ (e12 = e11) % 20.08/5.26 | % 20.08/5.26 | Equations (1024) can reduce 222 to: % 20.08/5.26 | (297) ~ (e11 = e10) % 20.08/5.26 | % 20.08/5.26 +-Applying beta-rule and splitting (1057), into two cases. % 20.08/5.26 |-Branch one: % 20.08/5.26 | (1069) all_0_144_144 = e11 % 20.08/5.26 | % 20.08/5.26 | Equations (1069) can reduce 1049 to: % 20.08/5.26 | (423) $false % 20.08/5.26 | % 20.08/5.26 |-The branch is then unsatisfiable % 20.08/5.26 |-Branch two: % 20.08/5.26 | (1049) ~ (all_0_144_144 = e11) % 20.08/5.26 | (1072) all_0_144_144 = e13 % 20.08/5.26 | % 20.08/5.26 +-Applying beta-rule and splitting (1007), into two cases. % 20.08/5.26 |-Branch one: % 20.08/5.26 | (1078) all_0_145_145 = e10 % 20.08/5.26 | % 20.08/5.26 | Equations (1078) can reduce 1155 to: % 20.08/5.26 | (423) $false % 20.08/5.26 | % 20.08/5.26 |-The branch is then unsatisfiable % 20.08/5.26 |-Branch two: % 20.08/5.26 | (1155) ~ (all_0_145_145 = e10) % 20.08/5.26 | (1009) all_0_146_146 = e10 % 20.08/5.26 | % 20.08/5.26 | Equations (1009) can reduce 50 to: % 20.08/5.26 | (1277) ~ (all_0_138_138 = e10) % 20.08/5.26 | % 20.08/5.26 | Equations (1009) can reduce 328 to: % 20.08/5.26 | (1155) ~ (all_0_145_145 = e10) % 20.08/5.26 | % 20.08/5.26 | Equations (1009) can reduce 966 to: % 20.08/5.26 | (1000) ~ (e12 = e10) % 20.08/5.26 | % 20.08/5.26 | Simplifying 1000 yields: % 20.08/5.26 | (165) ~ (e12 = e10) % 20.08/5.26 | % 20.08/5.26 +-Applying beta-rule and splitting (268), into two cases. % 20.08/5.26 |-Branch one: % 20.08/5.26 | (1058) all_0_136_136 = e11 % 20.08/5.26 | % 20.08/5.26 | Combining equations (1058,980) yields a new equation: % 20.08/5.26 | (1019) e12 = e11 % 20.08/5.26 | % 20.08/5.26 | Equations (1019) can reduce 313 to: % 20.08/5.26 | (423) $false % 20.08/5.26 | % 20.08/5.26 |-The branch is then unsatisfiable % 20.08/5.26 |-Branch two: % 20.08/5.26 | (1197) ~ (all_0_136_136 = e11) % 20.08/5.26 | (1202) all_0_137_137 = e11 | all_0_138_138 = e11 % 20.08/5.26 | % 20.08/5.26 | Equations (980) can reduce 1197 to: % 20.08/5.26 | (313) ~ (e12 = e11) % 20.08/5.26 | % 20.08/5.26 +-Applying beta-rule and splitting (235), into two cases. % 20.08/5.26 |-Branch one: % 20.08/5.26 | (1017) all_0_138_138 = e11 % 20.08/5.26 | % 20.08/5.26 | Equations (1017) can reduce 102 to: % 20.08/5.26 | (1178) ~ (e13 = e11) % 20.08/5.26 | % 20.08/5.26 | Simplifying 1178 yields: % 20.08/5.26 | (349) ~ (e13 = e11) % 20.08/5.26 | % 20.08/5.26 | Equations (1017) can reduce 1277 to: % 20.08/5.26 | (297) ~ (e11 = e10) % 20.08/5.26 | % 20.08/5.26 +-Applying beta-rule and splitting (163), into two cases. % 20.08/5.26 |-Branch one: % 20.08/5.26 | (1069) all_0_144_144 = e11 % 20.08/5.26 | % 20.08/5.26 | Combining equations (1072,1069) yields a new equation: % 20.08/5.26 | (1216) e13 = e11 % 20.08/5.26 | % 20.08/5.26 | Simplifying 1216 yields: % 20.08/5.26 | (1181) e13 = e11 % 20.08/5.26 | % 20.08/5.26 | Equations (1181) can reduce 349 to: % 20.08/5.26 | (423) $false % 20.08/5.26 | % 20.08/5.26 |-The branch is then unsatisfiable % 20.08/5.26 |-Branch two: % 20.08/5.26 | (1049) ~ (all_0_144_144 = e11) % 20.08/5.26 | (1439) all_0_145_145 = e11 | all_0_146_146 = e11 % 20.08/5.26 | % 20.08/5.26 +-Applying beta-rule and splitting (1439), into two cases. % 20.08/5.26 |-Branch one: % 20.08/5.26 | (1188) all_0_145_145 = e11 % 20.08/5.26 | % 20.08/5.27 | Equations (1188) can reduce 298 to: % 20.08/5.27 | (1051) ~ (e12 = e11) % 20.08/5.27 | % 20.08/5.27 | Simplifying 1051 yields: % 20.08/5.27 | (313) ~ (e12 = e11) % 20.08/5.27 | % 20.08/5.27 | Equations (1188) can reduce 1155 to: % 20.08/5.27 | (297) ~ (e11 = e10) % 20.08/5.27 | % 20.08/5.27 +-Applying beta-rule and splitting (335), into two cases. % 20.08/5.27 |-Branch one: % 20.08/5.27 | (1003) all_0_143_143 = e10 % 20.08/5.27 | % 20.08/5.27 | Combining equations (959,1003) yields a new equation: % 20.08/5.27 | (1256) e12 = e10 % 20.08/5.27 | % 20.08/5.27 | Simplifying 1256 yields: % 20.08/5.27 | (1004) e12 = e10 % 20.08/5.27 | % 20.08/5.27 | Equations (1004) can reduce 165 to: % 20.08/5.27 | (423) $false % 20.08/5.27 | % 20.08/5.27 |-The branch is then unsatisfiable % 20.08/5.27 |-Branch two: % 20.08/5.27 | (1006) ~ (all_0_143_143 = e10) % 20.08/5.27 | (1260) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11)) | ( ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 20.08/5.27 | % 20.08/5.27 | Equations (959) can reduce 1006 to: % 20.08/5.27 | (165) ~ (e12 = e10) % 20.08/5.27 | % 20.08/5.27 +-Applying beta-rule and splitting (1260), into two cases. % 20.08/5.27 |-Branch one: % 20.08/5.27 | (1261) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11)) % 20.08/5.27 | % 20.08/5.27 +-Applying beta-rule and splitting (1261), into two cases. % 20.08/5.27 |-Branch one: % 20.08/5.27 | (1262) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 20.08/5.27 | % 20.08/5.27 +-Applying beta-rule and splitting (1262), into two cases. % 20.08/5.27 |-Branch one: % 20.08/5.27 | (1263) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) % 20.08/5.27 | % 20.08/5.27 +-Applying beta-rule and splitting (1263), into two cases. % 20.08/5.27 |-Branch one: % 20.08/5.27 | (1264) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 20.08/5.27 | % 20.08/5.27 +-Applying beta-rule and splitting (1264), into two cases. % 20.08/5.27 |-Branch one: % 20.08/5.27 | (1265) all_0_135_135 = e12 & ~ (all_0_136_136 = e13) % 20.08/5.27 | % 20.08/5.27 | Applying alpha-rule on (1265) yields: % 20.08/5.27 | (1266) all_0_135_135 = e12 % 20.08/5.27 | (1267) ~ (all_0_136_136 = e13) % 20.08/5.27 | % 20.08/5.27 | Combining equations (1266,1030) yields a new equation: % 20.08/5.27 | (1256) e12 = e10 % 20.08/5.27 | % 20.08/5.27 | Simplifying 1256 yields: % 20.08/5.27 | (1004) e12 = e10 % 20.08/5.27 | % 20.08/5.27 | Equations (1004) can reduce 165 to: % 20.08/5.27 | (423) $false % 20.08/5.27 | % 20.08/5.27 |-The branch is then unsatisfiable % 20.08/5.27 |-Branch two: % 20.08/5.27 | (1269) all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 20.08/5.27 | % 20.08/5.27 | Applying alpha-rule on (1269) yields: % 20.08/5.27 | (1050) ~ (all_0_145_145 = e11) % 20.08/5.27 | (999) ~ (all_0_146_146 = e10) % 20.08/5.27 | (973) all_0_138_138 = e12 % 20.08/5.27 | (962) ~ (all_0_144_144 = e12) % 20.08/5.27 | (1274) ~ (all_0_143_143 = e13) % 20.08/5.27 | % 20.08/5.27 | Combining equations (973,1017) yields a new equation: % 20.08/5.27 | (1018) e12 = e11 % 20.08/5.27 | % 20.08/5.27 | Simplifying 1018 yields: % 20.08/5.27 | (1019) e12 = e11 % 20.08/5.27 | % 20.08/5.27 | Equations (1019) can reduce 313 to: % 20.08/5.27 | (423) $false % 20.08/5.27 | % 20.08/5.27 |-The branch is then unsatisfiable % 20.08/5.27 |-Branch two: % 20.08/5.27 | (1276) all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10) % 20.08/5.27 | % 20.08/5.27 | Applying alpha-rule on (1276) yields: % 20.08/5.27 | (1277) ~ (all_0_138_138 = e10) % 20.08/5.27 | (1060) ~ (all_0_137_137 = e11) % 20.08/5.27 | (1024) all_0_140_140 = e11 % 20.08/5.27 | (1173) ~ (all_0_135_135 = e13) % 20.08/5.27 | (975) ~ (all_0_136_136 = e12) % 20.08/5.27 | % 20.08/5.27 | Equations (980) can reduce 975 to: % 20.08/5.27 | (423) $false % 20.08/5.27 | % 20.08/5.27 |-The branch is then unsatisfiable % 20.08/5.27 |-Branch two: % 20.08/5.27 | (1284) all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 20.08/5.27 | % 20.08/5.27 | Applying alpha-rule on (1284) yields: % 20.08/5.27 | (1050) ~ (all_0_145_145 = e11) % 20.08/5.27 | (999) ~ (all_0_146_146 = e10) % 20.08/5.27 | (1287) ~ (all_0_141_141 = e10) % 20.08/5.27 | (962) ~ (all_0_144_144 = e12) % 20.08/5.27 | (1274) ~ (all_0_143_143 = e13) % 20.08/5.27 | (1043) all_0_142_142 = e11 % 20.08/5.27 | % 20.08/5.27 | Combining equations (1244,1043) yields a new equation: % 20.08/5.27 | (1018) e12 = e11 % 20.08/5.27 | % 20.08/5.27 | Simplifying 1018 yields: % 20.08/5.27 | (1019) e12 = e11 % 20.08/5.27 | % 20.08/5.27 | Equations (1019) can reduce 313 to: % 20.08/5.27 | (423) $false % 20.08/5.27 | % 20.08/5.27 |-The branch is then unsatisfiable % 20.08/5.27 |-Branch two: % 20.08/5.27 | (1292) all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11) % 20.08/5.27 | % 20.08/5.27 | Applying alpha-rule on (1292) yields: % 20.08/5.27 | (1242) ~ (all_0_142_142 = e10) % 20.08/5.27 | (1294) ~ (all_0_146_146 = e11) % 20.08/5.27 | (1295) ~ (all_0_140_140 = e12) % 20.08/5.27 | (1296) ~ (all_0_139_139 = e13) % 20.08/5.27 | (1078) all_0_145_145 = e10 % 20.08/5.27 | (1151) ~ (all_0_141_141 = e11) % 20.08/5.27 | % 20.08/5.27 | Combining equations (1188,1078) yields a new equation: % 20.08/5.27 | (1044) e11 = e10 % 20.08/5.27 | % 20.08/5.27 | Simplifying 1044 yields: % 20.08/5.27 | (1045) e11 = e10 % 20.08/5.27 | % 20.08/5.27 | Equations (1045) can reduce 297 to: % 20.08/5.27 | (423) $false % 20.08/5.27 | % 20.08/5.27 |-The branch is then unsatisfiable % 20.08/5.27 |-Branch two: % 20.08/5.27 | (1300) ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 20.08/5.27 | % 20.08/5.27 | Applying alpha-rule on (1300) yields: % 20.08/5.27 | (1274) ~ (all_0_143_143 = e13) % 20.08/5.27 | (962) ~ (all_0_144_144 = e12) % 20.08/5.27 | (1050) ~ (all_0_145_145 = e11) % 20.08/5.27 | (999) ~ (all_0_146_146 = e10) % 20.08/5.27 | % 20.08/5.27 | Equations (1009) can reduce 999 to: % 20.08/5.27 | (423) $false % 20.08/5.27 | % 20.08/5.27 |-The branch is then unsatisfiable % 20.08/5.27 |-Branch two: % 20.08/5.27 | (1050) ~ (all_0_145_145 = e11) % 20.08/5.27 | (1048) all_0_146_146 = e11 % 20.08/5.27 | % 20.08/5.27 | Combining equations (1048,1009) yields a new equation: % 20.08/5.27 | (1044) e11 = e10 % 20.08/5.27 | % 20.08/5.27 | Simplifying 1044 yields: % 20.08/5.27 | (1045) e11 = e10 % 20.08/5.27 | % 20.08/5.27 | Equations (1045) can reduce 297 to: % 20.08/5.27 | (423) $false % 20.08/5.27 | % 20.08/5.27 |-The branch is then unsatisfiable % 20.08/5.27 |-Branch two: % 20.08/5.27 | (1021) ~ (all_0_138_138 = e11) % 20.08/5.27 | (1022) all_0_142_142 = e11 | all_0_146_146 = e11 % 20.08/5.27 | % 20.08/5.27 +-Applying beta-rule and splitting (1022), into two cases. % 20.08/5.27 |-Branch one: % 20.08/5.27 | (1043) all_0_142_142 = e11 % 20.08/5.27 | % 20.08/5.27 | Combining equations (1244,1043) yields a new equation: % 20.08/5.27 | (1018) e12 = e11 % 20.08/5.27 | % 20.08/5.27 | Simplifying 1018 yields: % 20.08/5.27 | (1019) e12 = e11 % 20.08/5.27 | % 20.08/5.27 | Equations (1019) can reduce 313 to: % 20.08/5.27 | (423) $false % 20.08/5.27 | % 20.08/5.27 |-The branch is then unsatisfiable % 20.08/5.27 |-Branch two: % 20.08/5.27 | (1047) ~ (all_0_142_142 = e11) % 20.08/5.27 | (1048) all_0_146_146 = e11 % 20.08/5.27 | % 20.08/5.27 | Combining equations (1009,1048) yields a new equation: % 20.08/5.27 | (1045) e11 = e10 % 20.08/5.27 | % 20.08/5.27 | Equations (1045) can reduce 297 to: % 20.08/5.27 | (423) $false % 20.08/5.27 | % 20.08/5.27 |-The branch is then unsatisfiable % 20.08/5.27 |-Branch two: % 20.08/5.27 | (1028) ~ (all_0_140_140 = e11) % 20.08/5.27 | (1029) all_0_141_141 = e11 | all_0_142_142 = e11 % 20.08/5.27 | % 20.08/5.27 +-Applying beta-rule and splitting (1029), into two cases. % 20.08/5.27 |-Branch one: % 20.08/5.27 | (1082) all_0_141_141 = e11 % 20.08/5.27 | % 20.08/5.27 | Combining equations (1082,1395) yields a new equation: % 20.08/5.27 | (1044) e11 = e10 % 20.08/5.27 | % 20.08/5.27 | Simplifying 1044 yields: % 20.08/5.27 | (1045) e11 = e10 % 20.08/5.27 | % 20.08/5.27 | Equations (1045) can reduce 297 to: % 20.08/5.27 | (423) $false % 20.08/5.27 | % 20.08/5.27 |-The branch is then unsatisfiable % 20.08/5.27 |-Branch two: % 20.08/5.27 | (1151) ~ (all_0_141_141 = e11) % 20.08/5.27 | (1043) all_0_142_142 = e11 % 20.08/5.27 | % 20.08/5.27 | Combining equations (1244,1043) yields a new equation: % 20.08/5.27 | (1018) e12 = e11 % 20.08/5.27 | % 20.08/5.27 | Simplifying 1018 yields: % 20.08/5.27 | (1019) e12 = e11 % 20.08/5.27 | % 20.08/5.27 | Equations (1019) can reduce 313 to: % 20.08/5.27 | (423) $false % 20.08/5.27 | % 20.08/5.27 |-The branch is then unsatisfiable % 20.08/5.27 |-Branch two: % 20.08/5.27 | (1287) ~ (all_0_141_141 = e10) % 20.08/5.27 | (996) all_0_142_142 = e10 % 20.08/5.27 | % 20.08/5.27 | Combining equations (1244,996) yields a new equation: % 20.08/5.27 | (1256) e12 = e10 % 20.08/5.27 | % 20.08/5.27 | Simplifying 1256 yields: % 20.08/5.27 | (1004) e12 = e10 % 20.08/5.27 | % 20.08/5.27 | Equations (1004) can reduce 165 to: % 20.08/5.27 | (423) $false % 20.08/5.27 | % 20.08/5.27 |-The branch is then unsatisfiable % 20.08/5.27 |-Branch two: % 20.08/5.27 | (1224) ~ (all_0_135_135 = e10) % 20.08/5.27 | (1535) all_0_135_135 = e13 | all_0_135_135 = e12 % 20.08/5.27 | % 20.08/5.27 +-Applying beta-rule and splitting (1535), into two cases. % 20.08/5.27 |-Branch one: % 20.08/5.27 | (1266) all_0_135_135 = e12 % 20.08/5.27 | % 20.08/5.27 | Equations (1266) can reduce 960 to: % 20.08/5.27 | (423) $false % 20.08/5.27 | % 20.08/5.27 |-The branch is then unsatisfiable % 20.08/5.27 |-Branch two: % 20.08/5.28 | (960) ~ (all_0_135_135 = e12) % 20.08/5.28 | (1170) all_0_135_135 = e13 % 20.08/5.28 | % 20.08/5.28 | Equations (1170) can reduce 29 to: % 20.08/5.28 | (1540) ~ (all_0_137_137 = e13) % 20.08/5.28 | % 20.08/5.28 | Simplifying 1540 yields: % 20.08/5.28 | (1163) ~ (all_0_137_137 = e13) % 20.08/5.28 | % 20.08/5.28 | Equations (1170) can reduce 2 to: % 20.08/5.28 | (1542) ~ (all_0_139_139 = e13) % 20.08/5.28 | % 20.08/5.28 | Simplifying 1542 yields: % 20.08/5.28 | (1296) ~ (all_0_139_139 = e13) % 20.08/5.28 | % 20.08/5.28 | Equations (1170) can reduce 1224 to: % 20.08/5.28 | (197) ~ (e13 = e10) % 20.08/5.28 | % 20.08/5.28 | From (1170) and (143) follows: % 20.08/5.28 | (1545) op1(e13, e12) = all_0_111_111 % 20.08/5.28 | % 20.08/5.28 +-Applying beta-rule and splitting (127), into two cases. % 20.08/5.28 |-Branch one: % 20.08/5.28 | (1013) all_0_139_139 = e10 % 20.08/5.28 | % 20.08/5.28 | Equations (1013) can reduce 1296 to: % 20.08/5.28 | (1166) ~ (e13 = e10) % 20.08/5.28 | % 20.08/5.28 | Simplifying 1166 yields: % 20.08/5.28 | (197) ~ (e13 = e10) % 20.08/5.28 | % 20.08/5.28 | From (1013) and (30) follows: % 20.08/5.28 | (1549) op1(e10, e11) = all_0_112_112 % 20.08/5.28 | % 20.08/5.28 | Instantiating formula (312) with e13, e12, all_0_111_111, e10 and discharging atoms op1(e13, e12) = all_0_111_111, op1(e13, e12) = e10, yields: % 20.08/5.28 | (1550) all_0_111_111 = e10 % 20.08/5.28 | % 20.08/5.28 | Instantiating formula (312) with e10, e11, all_0_112_112, all_0_145_145 and discharging atoms op1(e10, e11) = all_0_112_112, op1(e10, e11) = all_0_145_145, yields: % 20.08/5.28 | (1551) all_0_112_112 = all_0_145_145 % 20.08/5.28 | % 20.08/5.28 +-Applying beta-rule and splitting (168), into two cases. % 20.08/5.28 |-Branch one: % 20.08/5.28 | (1552) all_0_111_111 = all_0_135_135 % 20.08/5.28 | % 20.08/5.28 | Combining equations (1552,1550) yields a new equation: % 20.08/5.28 | (1553) all_0_135_135 = e10 % 20.08/5.28 | % 20.08/5.28 | Simplifying 1553 yields: % 20.08/5.28 | (1030) all_0_135_135 = e10 % 20.08/5.28 | % 20.08/5.28 | Combining equations (1170,1030) yields a new equation: % 20.08/5.28 | (1390) e13 = e10 % 20.08/5.28 | % 20.08/5.28 | Simplifying 1390 yields: % 20.08/5.28 | (1171) e13 = e10 % 20.08/5.28 | % 20.08/5.28 | Equations (1171) can reduce 197 to: % 20.08/5.28 | (423) $false % 20.08/5.28 | % 20.08/5.28 |-The branch is then unsatisfiable % 20.08/5.28 |-Branch two: % 20.08/5.28 | (1558) ~ (all_0_111_111 = all_0_135_135) % 20.08/5.28 | (1559) all_0_112_112 = all_0_139_139 | all_0_113_113 = all_0_143_143 % 20.08/5.28 | % 20.08/5.28 | Equations (1550,1170) can reduce 1558 to: % 20.08/5.28 | (1166) ~ (e13 = e10) % 20.08/5.28 | % 20.08/5.28 | Simplifying 1166 yields: % 20.08/5.28 | (197) ~ (e13 = e10) % 20.08/5.28 | % 20.08/5.28 +-Applying beta-rule and splitting (1559), into two cases. % 20.08/5.28 |-Branch one: % 20.08/5.28 | (1562) all_0_112_112 = all_0_139_139 % 20.08/5.28 | % 20.08/5.28 | Combining equations (1562,1551) yields a new equation: % 20.08/5.28 | (1563) all_0_139_139 = all_0_145_145 % 20.08/5.28 | % 20.08/5.28 | Simplifying 1563 yields: % 20.08/5.28 | (1564) all_0_139_139 = all_0_145_145 % 20.08/5.28 | % 20.08/5.28 | Combining equations (1564,1013) yields a new equation: % 20.08/5.28 | (1565) all_0_145_145 = e10 % 20.08/5.28 | % 20.08/5.28 | Simplifying 1565 yields: % 20.08/5.28 | (1078) all_0_145_145 = e10 % 20.08/5.28 | % 20.08/5.28 | Equations (1078) can reduce 82 to: % 20.08/5.28 | (1238) ~ (all_0_137_137 = e10) % 20.08/5.28 | % 20.08/5.28 | Equations (1078) can reduce 305 to: % 20.08/5.28 | (1287) ~ (all_0_141_141 = e10) % 20.08/5.28 | % 20.08/5.28 | Equations (1078) can reduce 370 to: % 20.08/5.28 | (139) ~ (all_0_144_144 = e10) % 20.08/5.28 | % 20.08/5.28 | Equations (1078) can reduce 328 to: % 20.08/5.28 | (998) ~ (all_0_146_146 = e10) % 20.08/5.28 | % 20.08/5.28 | Simplifying 998 yields: % 20.08/5.28 | (999) ~ (all_0_146_146 = e10) % 20.08/5.28 | % 20.08/5.28 +-Applying beta-rule and splitting (56), into two cases. % 20.08/5.28 |-Branch one: % 20.08/5.28 | (1076) all_0_137_137 = e13 % 20.08/5.28 | % 20.08/5.28 | Equations (1076) can reduce 1163 to: % 20.08/5.28 | (423) $false % 20.08/5.28 | % 20.08/5.28 |-The branch is then unsatisfiable % 20.08/5.28 |-Branch two: % 20.08/5.28 | (1163) ~ (all_0_137_137 = e13) % 20.08/5.28 | (1164) all_0_141_141 = e13 | all_0_145_145 = e13 % 20.08/5.28 | % 20.08/5.28 +-Applying beta-rule and splitting (181), into two cases. % 20.08/5.28 |-Branch one: % 20.08/5.28 | (1030) all_0_135_135 = e10 % 20.08/5.28 | % 20.08/5.28 | Combining equations (1170,1030) yields a new equation: % 20.08/5.28 | (1390) e13 = e10 % 20.08/5.28 | % 20.08/5.28 | Simplifying 1390 yields: % 20.08/5.28 | (1171) e13 = e10 % 20.08/5.28 | % 20.08/5.28 | Equations (1171) can reduce 197 to: % 20.08/5.28 | (423) $false % 20.08/5.28 | % 20.08/5.28 |-The branch is then unsatisfiable % 20.08/5.28 |-Branch two: % 20.08/5.28 | (1224) ~ (all_0_135_135 = e10) % 20.08/5.28 | (1229) all_0_137_137 = e10 | all_0_138_138 = e10 % 20.08/5.28 | % 20.08/5.28 +-Applying beta-rule and splitting (224), into two cases. % 20.08/5.28 |-Branch one: % 20.08/5.28 | (1009) all_0_146_146 = e10 % 20.08/5.28 | % 20.08/5.28 | Equations (1009) can reduce 999 to: % 20.08/5.28 | (423) $false % 20.08/5.28 | % 20.08/5.28 |-The branch is then unsatisfiable % 20.08/5.28 |-Branch two: % 20.08/5.28 | (999) ~ (all_0_146_146 = e10) % 20.08/5.28 | (1012) all_0_146_146 = e12 | all_0_146_146 = e11 % 20.08/5.28 | % 20.08/5.28 +-Applying beta-rule and splitting (1229), into two cases. % 20.08/5.28 |-Branch one: % 20.08/5.28 | (1230) all_0_137_137 = e10 % 20.08/5.28 | % 20.08/5.28 | Equations (1230) can reduce 1238 to: % 20.08/5.28 | (423) $false % 20.08/5.28 | % 20.08/5.28 |-The branch is then unsatisfiable % 20.08/5.28 |-Branch two: % 20.08/5.28 | (1238) ~ (all_0_137_137 = e10) % 20.08/5.28 | (1239) all_0_138_138 = e10 % 20.08/5.28 | % 20.08/5.28 | Equations (1239) can reduce 50 to: % 20.08/5.28 | (998) ~ (all_0_146_146 = e10) % 20.08/5.28 | % 20.08/5.28 | Simplifying 998 yields: % 20.08/5.28 | (999) ~ (all_0_146_146 = e10) % 20.08/5.28 | % 20.08/5.28 | From (1239) and (38) follows: % 20.08/5.28 | (1592) op1(e10, e12) = all_0_120_120 % 20.08/5.28 | % 20.08/5.28 +-Applying beta-rule and splitting (268), into two cases. % 20.08/5.28 |-Branch one: % 20.08/5.28 | (1058) all_0_136_136 = e11 % 20.08/5.28 | % 20.08/5.28 | Combining equations (980,1058) yields a new equation: % 20.08/5.28 | (1018) e12 = e11 % 20.08/5.28 | % 20.08/5.28 | Simplifying 1018 yields: % 20.08/5.28 | (1019) e12 = e11 % 20.08/5.28 | % 20.08/5.28 | Equations (1019) can reduce 313 to: % 20.08/5.28 | (423) $false % 20.08/5.28 | % 20.08/5.28 |-The branch is then unsatisfiable % 20.08/5.28 |-Branch two: % 20.08/5.28 | (1197) ~ (all_0_136_136 = e11) % 20.08/5.28 | (1202) all_0_137_137 = e11 | all_0_138_138 = e11 % 20.08/5.28 | % 20.08/5.28 +-Applying beta-rule and splitting (1012), into two cases. % 20.08/5.28 |-Branch one: % 20.08/5.28 | (1599) all_0_146_146 = e12 % 20.08/5.28 | % 20.08/5.28 | Equations (1599) can reduce 966 to: % 20.08/5.28 | (423) $false % 20.08/5.28 | % 20.08/5.28 |-The branch is then unsatisfiable % 20.08/5.28 |-Branch two: % 20.08/5.28 | (966) ~ (all_0_146_146 = e12) % 20.08/5.28 | (1048) all_0_146_146 = e11 % 20.08/5.28 | % 20.08/5.28 | Equations (1048) can reduce 94 to: % 20.08/5.28 | (1049) ~ (all_0_144_144 = e11) % 20.08/5.28 | % 20.08/5.28 | Equations (1048) can reduce 999 to: % 20.08/5.28 | (297) ~ (e11 = e10) % 20.08/5.28 | % 20.08/5.28 | From (1048) and (24) follows: % 20.08/5.28 | (1605) op1(e11, e10) = all_0_122_122 % 20.08/5.28 | % 20.08/5.28 +-Applying beta-rule and splitting (1057), into two cases. % 20.08/5.28 |-Branch one: % 20.08/5.28 | (1069) all_0_144_144 = e11 % 20.08/5.28 | % 20.08/5.28 | Equations (1069) can reduce 1049 to: % 20.08/5.28 | (423) $false % 20.08/5.28 | % 20.08/5.28 |-The branch is then unsatisfiable % 20.08/5.28 |-Branch two: % 20.08/5.28 | (1049) ~ (all_0_144_144 = e11) % 20.08/5.28 | (1072) all_0_144_144 = e13 % 20.08/5.28 | % 20.08/5.28 | Equations (1072) can reduce 139 to: % 20.08/5.28 | (197) ~ (e13 = e10) % 20.08/5.28 | % 20.08/5.28 | From (1072) and (169) follows: % 20.08/5.28 | (1611) op1(e10, e12) = e13 % 20.08/5.28 | % 20.08/5.28 +-Applying beta-rule and splitting (1164), into two cases. % 20.08/5.28 |-Branch one: % 20.08/5.28 | (1180) all_0_141_141 = e13 % 20.08/5.28 | % 20.08/5.28 | Equations (1180) can reduce 161 to: % 20.08/5.28 | (1163) ~ (all_0_137_137 = e13) % 20.08/5.28 | % 20.08/5.28 | Equations (1180) can reduce 1287 to: % 20.08/5.28 | (197) ~ (e13 = e10) % 20.08/5.28 | % 20.08/5.28 +-Applying beta-rule and splitting (1202), into two cases. % 20.08/5.28 |-Branch one: % 20.08/5.28 | (1065) all_0_137_137 = e11 % 20.08/5.28 | % 20.08/5.28 | Combining equations (1065,1349) yields a new equation: % 20.08/5.28 | (1616) all_0_121_121 = e11 % 20.08/5.28 | % 20.08/5.28 | Equations (1065) can reduce 1163 to: % 20.08/5.28 | (1178) ~ (e13 = e11) % 20.08/5.28 | % 20.08/5.28 | Simplifying 1178 yields: % 20.08/5.28 | (349) ~ (e13 = e11) % 20.08/5.28 | % 20.08/5.28 | Equations (1065) can reduce 255 to: % 20.08/5.28 | (1051) ~ (e12 = e11) % 20.08/5.28 | % 20.08/5.28 | Simplifying 1051 yields: % 20.08/5.28 | (313) ~ (e12 = e11) % 20.08/5.28 | % 20.08/5.28 +-Applying beta-rule and splitting (72), into two cases. % 20.08/5.28 |-Branch one: % 20.08/5.28 | (1024) all_0_140_140 = e11 % 20.08/5.28 | % 20.08/5.28 | Equations (1024) can reduce 1295 to: % 20.08/5.28 | (1051) ~ (e12 = e11) % 20.08/5.28 | % 20.08/5.28 | Simplifying 1051 yields: % 20.08/5.28 | (313) ~ (e12 = e11) % 20.08/5.28 | % 20.08/5.28 | Instantiating formula (312) with e11, e10, all_0_122_122, e12 and discharging atoms op1(e11, e10) = all_0_122_122, op1(e11, e10) = e12, yields: % 20.08/5.28 | (1624) all_0_122_122 = e12 % 20.08/5.28 | % 20.08/5.28 | Instantiating formula (312) with e10, e12, e13, all_0_120_120 and discharging atoms op1(e10, e12) = all_0_120_120, op1(e10, e12) = e13, yields: % 20.08/5.28 | (1625) all_0_120_120 = e13 % 20.08/5.28 | % 20.08/5.28 +-Applying beta-rule and splitting (110), into two cases. % 20.08/5.28 |-Branch one: % 20.08/5.28 | (1626) all_0_120_120 = all_0_138_138 % 20.08/5.28 | % 20.08/5.28 | Combining equations (1625,1626) yields a new equation: % 20.08/5.28 | (1627) all_0_138_138 = e13 % 20.08/5.28 | % 20.08/5.28 | Combining equations (1627,1239) yields a new equation: % 20.08/5.28 | (1390) e13 = e10 % 20.08/5.28 | % 20.08/5.28 | Simplifying 1390 yields: % 20.08/5.28 | (1171) e13 = e10 % 20.08/5.28 | % 20.08/5.28 | Equations (1171) can reduce 197 to: % 20.08/5.28 | (423) $false % 20.08/5.28 | % 20.08/5.28 |-The branch is then unsatisfiable % 20.08/5.28 |-Branch two: % 20.08/5.28 | (1631) ~ (all_0_120_120 = all_0_138_138) % 20.08/5.28 | (1632) all_0_121_121 = all_0_142_142 | all_0_122_122 = all_0_146_146 % 20.08/5.28 | % 20.08/5.28 +-Applying beta-rule and splitting (1632), into two cases. % 20.08/5.28 |-Branch one: % 20.08/5.28 | (1633) all_0_121_121 = all_0_142_142 % 20.08/5.28 | % 20.08/5.28 | Combining equations (1633,1616) yields a new equation: % 20.08/5.29 | (1634) all_0_142_142 = e11 % 20.08/5.29 | % 20.08/5.29 | Simplifying 1634 yields: % 20.08/5.29 | (1043) all_0_142_142 = e11 % 20.08/5.29 | % 20.08/5.29 | Combining equations (1244,1043) yields a new equation: % 20.08/5.29 | (1018) e12 = e11 % 20.08/5.29 | % 20.08/5.29 | Simplifying 1018 yields: % 20.08/5.29 | (1019) e12 = e11 % 20.08/5.29 | % 20.08/5.29 | Equations (1019) can reduce 313 to: % 20.08/5.29 | (423) $false % 20.08/5.29 | % 20.08/5.29 |-The branch is then unsatisfiable % 20.08/5.29 |-Branch two: % 20.08/5.29 | (1639) ~ (all_0_121_121 = all_0_142_142) % 20.08/5.29 | (1640) all_0_122_122 = all_0_146_146 % 20.08/5.29 | % 20.08/5.29 | Combining equations (1640,1624) yields a new equation: % 20.08/5.29 | (1641) all_0_146_146 = e12 % 20.08/5.29 | % 20.08/5.29 | Simplifying 1641 yields: % 20.08/5.29 | (1599) all_0_146_146 = e12 % 20.08/5.29 | % 20.08/5.29 | Combining equations (1048,1599) yields a new equation: % 20.08/5.29 | (1019) e12 = e11 % 20.08/5.29 | % 20.08/5.29 | Equations (1019) can reduce 313 to: % 20.08/5.29 | (423) $false % 20.08/5.29 | % 20.08/5.29 |-The branch is then unsatisfiable % 20.08/5.29 |-Branch two: % 20.08/5.29 | (1028) ~ (all_0_140_140 = e11) % 20.08/5.29 | (1029) all_0_141_141 = e11 | all_0_142_142 = e11 % 20.08/5.29 | % 20.08/5.29 +-Applying beta-rule and splitting (1029), into two cases. % 20.08/5.29 |-Branch one: % 20.08/5.29 | (1082) all_0_141_141 = e11 % 20.08/5.29 | % 20.08/5.29 | Combining equations (1180,1082) yields a new equation: % 20.08/5.29 | (1216) e13 = e11 % 20.08/5.29 | % 20.08/5.29 | Simplifying 1216 yields: % 20.08/5.29 | (1181) e13 = e11 % 20.08/5.29 | % 20.08/5.29 | Equations (1181) can reduce 349 to: % 20.08/5.29 | (423) $false % 20.08/5.29 | % 20.08/5.29 |-The branch is then unsatisfiable % 20.08/5.29 |-Branch two: % 20.08/5.29 | (1151) ~ (all_0_141_141 = e11) % 20.08/5.29 | (1043) all_0_142_142 = e11 % 20.08/5.29 | % 20.08/5.29 | Combining equations (1244,1043) yields a new equation: % 20.08/5.29 | (1018) e12 = e11 % 20.08/5.29 | % 20.08/5.29 | Simplifying 1018 yields: % 20.08/5.29 | (1019) e12 = e11 % 20.08/5.29 | % 20.08/5.29 | Equations (1019) can reduce 313 to: % 20.08/5.29 | (423) $false % 20.08/5.29 | % 20.08/5.29 |-The branch is then unsatisfiable % 20.08/5.29 |-Branch two: % 20.08/5.29 | (1060) ~ (all_0_137_137 = e11) % 20.08/5.29 | (1017) all_0_138_138 = e11 % 20.08/5.29 | % 20.08/5.29 | Combining equations (1239,1017) yields a new equation: % 20.08/5.29 | (1045) e11 = e10 % 20.08/5.29 | % 20.08/5.29 | Equations (1045) can reduce 297 to: % 20.08/5.29 | (423) $false % 20.08/5.29 | % 20.08/5.29 |-The branch is then unsatisfiable % 20.08/5.29 |-Branch two: % 20.08/5.29 | (1041) ~ (all_0_141_141 = e13) % 20.08/5.29 | (1184) all_0_145_145 = e13 % 20.08/5.29 | % 20.08/5.29 | Combining equations (1078,1184) yields a new equation: % 20.08/5.29 | (1171) e13 = e10 % 20.08/5.29 | % 20.08/5.29 | Equations (1171) can reduce 197 to: % 20.08/5.29 | (423) $false % 20.08/5.29 | % 20.08/5.29 |-The branch is then unsatisfiable % 20.08/5.29 |-Branch two: % 20.08/5.29 | (1664) ~ (all_0_112_112 = all_0_139_139) % 20.08/5.29 | (1665) all_0_113_113 = all_0_143_143 % 20.08/5.29 | % 20.08/5.29 | Combining equations (970,1665) yields a new equation: % 20.08/5.29 | (1666) all_0_138_138 = all_0_143_143 % 20.08/5.29 | % 20.08/5.29 | Simplifying 1666 yields: % 20.08/5.29 | (1667) all_0_138_138 = all_0_143_143 % 20.08/5.29 | % 20.08/5.29 | Combining equations (959,1667) yields a new equation: % 20.08/5.29 | (973) all_0_138_138 = e12 % 20.08/5.29 | % 20.08/5.29 | Equations (973) can reduce 1324 to: % 20.08/5.29 | (423) $false % 20.08/5.29 | % 20.08/5.29 |-The branch is then unsatisfiable % 20.08/5.29 |-Branch two: % 20.08/5.29 | (997) ~ (all_0_139_139 = e10) % 20.08/5.29 | (1016) all_0_139_139 = e13 | all_0_139_139 = e12 % 20.08/5.29 | % 20.08/5.29 +-Applying beta-rule and splitting (301), into two cases. % 20.08/5.29 |-Branch one: % 20.08/5.29 | (1030) all_0_135_135 = e10 % 20.08/5.29 | % 20.08/5.29 | Combining equations (1170,1030) yields a new equation: % 20.08/5.29 | (1390) e13 = e10 % 20.08/5.29 | % 20.08/5.29 | Simplifying 1390 yields: % 20.08/5.29 | (1171) e13 = e10 % 20.08/5.29 | % 20.08/5.29 | Equations (1171) can reduce 197 to: % 20.08/5.29 | (423) $false % 20.08/5.29 | % 20.08/5.29 |-The branch is then unsatisfiable % 20.08/5.29 |-Branch two: % 20.08/5.29 | (1224) ~ (all_0_135_135 = e10) % 20.08/5.29 | (1225) all_0_139_139 = e10 | all_0_143_143 = e10 % 20.08/5.29 | % 20.08/5.29 | Equations (1170) can reduce 1224 to: % 20.08/5.29 | (197) ~ (e13 = e10) % 20.08/5.29 | % 20.08/5.29 +-Applying beta-rule and splitting (109), into two cases. % 20.08/5.29 |-Branch one: % 20.08/5.29 | (1013) all_0_139_139 = e10 % 20.08/5.29 | % 20.08/5.29 | Equations (1013) can reduce 997 to: % 20.08/5.29 | (423) $false % 20.08/5.29 | % 20.08/5.29 |-The branch is then unsatisfiable % 20.08/5.29 |-Branch two: % 20.08/5.29 | (997) ~ (all_0_139_139 = e10) % 20.08/5.29 | (1394) all_0_141_141 = e10 | all_0_142_142 = e10 % 20.08/5.29 | % 20.08/5.29 +-Applying beta-rule and splitting (1394), into two cases. % 20.08/5.29 |-Branch one: % 20.08/5.29 | (1395) all_0_141_141 = e10 % 20.08/5.29 | % 20.08/5.29 | Equations (1395) can reduce 161 to: % 20.08/5.29 | (1238) ~ (all_0_137_137 = e10) % 20.08/5.29 | % 20.08/5.29 | Equations (1395) can reduce 296 to: % 20.08/5.29 | (997) ~ (all_0_139_139 = e10) % 20.08/5.29 | % 20.08/5.29 +-Applying beta-rule and splitting (181), into two cases. % 20.08/5.29 |-Branch one: % 20.08/5.29 | (1030) all_0_135_135 = e10 % 20.08/5.29 | % 20.08/5.29 | Combining equations (1170,1030) yields a new equation: % 20.08/5.29 | (1390) e13 = e10 % 20.08/5.29 | % 20.08/5.29 | Simplifying 1390 yields: % 20.08/5.29 | (1171) e13 = e10 % 20.08/5.29 | % 20.08/5.29 | Equations (1171) can reduce 197 to: % 20.08/5.29 | (423) $false % 20.08/5.29 | % 20.08/5.29 |-The branch is then unsatisfiable % 20.08/5.29 |-Branch two: % 20.08/5.29 | (1224) ~ (all_0_135_135 = e10) % 20.08/5.29 | (1229) all_0_137_137 = e10 | all_0_138_138 = e10 % 20.08/5.29 | % 20.08/5.29 +-Applying beta-rule and splitting (1229), into two cases. % 20.08/5.29 |-Branch one: % 20.08/5.29 | (1230) all_0_137_137 = e10 % 20.08/5.29 | % 20.08/5.29 | Equations (1230) can reduce 1238 to: % 20.08/5.29 | (423) $false % 20.08/5.29 | % 20.08/5.29 |-The branch is then unsatisfiable % 20.08/5.29 |-Branch two: % 20.08/5.29 | (1238) ~ (all_0_137_137 = e10) % 20.08/5.29 | (1239) all_0_138_138 = e10 % 20.08/5.29 | % 20.08/5.29 | Equations (1239) can reduce 1324 to: % 20.08/5.29 | (1000) ~ (e12 = e10) % 20.08/5.29 | % 20.08/5.29 | Simplifying 1000 yields: % 20.08/5.29 | (165) ~ (e12 = e10) % 20.08/5.29 | % 20.08/5.29 +-Applying beta-rule and splitting (1225), into two cases. % 20.08/5.29 |-Branch one: % 20.08/5.29 | (1013) all_0_139_139 = e10 % 20.08/5.29 | % 20.08/5.29 | Equations (1013) can reduce 997 to: % 20.08/5.29 | (423) $false % 20.08/5.29 | % 20.08/5.29 |-The branch is then unsatisfiable % 20.08/5.29 |-Branch two: % 20.08/5.29 | (997) ~ (all_0_139_139 = e10) % 20.08/5.29 | (1003) all_0_143_143 = e10 % 20.08/5.29 | % 20.08/5.29 | Combining equations (1003,959) yields a new equation: % 20.08/5.29 | (1004) e12 = e10 % 20.08/5.29 | % 20.08/5.29 | Equations (1004) can reduce 165 to: % 20.08/5.29 | (423) $false % 20.08/5.29 | % 20.08/5.29 |-The branch is then unsatisfiable % 20.08/5.29 |-Branch two: % 20.08/5.29 | (1287) ~ (all_0_141_141 = e10) % 20.08/5.29 | (996) all_0_142_142 = e10 % 20.08/5.29 | % 20.08/5.29 | Combining equations (1244,996) yields a new equation: % 20.08/5.29 | (1256) e12 = e10 % 20.08/5.29 | % 20.08/5.29 | Simplifying 1256 yields: % 20.08/5.29 | (1004) e12 = e10 % 20.08/5.29 | % 20.08/5.29 | Equations (1004) can reduce 165 to: % 20.08/5.29 | (423) $false % 20.08/5.29 | % 20.08/5.29 |-The branch is then unsatisfiable % 20.08/5.29 |-Branch two: % 20.08/5.29 | (975) ~ (all_0_136_136 = e12) % 20.08/5.29 | (973) all_0_138_138 = e12 % 20.08/5.29 | % 20.08/5.29 | Equations (973) can reduce 1324 to: % 20.08/5.29 | (423) $false % 20.08/5.29 | % 20.08/5.29 |-The branch is then unsatisfiable % 20.08/5.29 |-Branch two: % 20.08/5.29 | (987) ~ (all_0_142_142 = e12) % 20.08/5.29 | (1599) all_0_146_146 = e12 % 20.08/5.29 | % 20.08/5.29 | Equations (1599) can reduce 966 to: % 20.08/5.29 | (423) $false % 20.08/5.29 | % 20.08/5.29 |-The branch is then unsatisfiable % 20.08/5.29 |-Branch two: % 20.08/5.29 | (1715) ~ (all_0_143_143 = e12) % 20.08/5.29 | (1716) all_0_144_144 = e12 | all_0_146_146 = e12 % 20.08/5.29 | % 20.08/5.29 +-Applying beta-rule and splitting (307), into two cases. % 20.08/5.29 |-Branch one: % 20.08/5.29 | (1003) all_0_143_143 = e10 % 20.08/5.29 | % 20.08/5.29 | Equations (1003) can reduce 187 to: % 20.08/5.29 | (1224) ~ (all_0_135_135 = e10) % 20.08/5.29 | % 20.08/5.29 | Equations (1003) can reduce 88 to: % 20.08/5.29 | (997) ~ (all_0_139_139 = e10) % 20.08/5.29 | % 20.08/5.29 | Equations (1003) can reduce 363 to: % 20.08/5.29 | (998) ~ (all_0_146_146 = e10) % 20.08/5.29 | % 20.08/5.29 | Simplifying 998 yields: % 20.08/5.29 | (999) ~ (all_0_146_146 = e10) % 20.08/5.29 | % 20.08/5.29 | From (1003) and (41) follows: % 20.08/5.29 | (1722) op1(e10, e10) = all_0_113_113 % 20.08/5.29 | % 20.08/5.29 | Instantiating formula (312) with e10, e10, all_0_113_113, all_0_146_146 and discharging atoms op1(e10, e10) = all_0_113_113, op1(e10, e10) = all_0_146_146, yields: % 20.08/5.29 | (1723) all_0_113_113 = all_0_146_146 % 20.08/5.30 | % 20.08/5.30 +-Applying beta-rule and splitting (376), into two cases. % 20.08/5.30 |-Branch one: % 20.08/5.30 | (1266) all_0_135_135 = e12 % 20.08/5.30 | % 20.08/5.30 | Equations (1266) can reduce 279 to: % 20.08/5.30 | (1725) ~ (all_0_136_136 = e12) % 20.08/5.30 | % 20.08/5.30 | Simplifying 1725 yields: % 20.08/5.30 | (975) ~ (all_0_136_136 = e12) % 20.08/5.30 | % 20.08/5.30 | Equations (1266) can reduce 2 to: % 20.08/5.30 | (1727) ~ (all_0_139_139 = e12) % 20.08/5.30 | % 20.08/5.30 | Simplifying 1727 yields: % 20.08/5.30 | (985) ~ (all_0_139_139 = e12) % 20.08/5.30 | % 20.08/5.30 | From (1266) and (143) follows: % 20.08/5.30 | (1729) op1(e12, e12) = all_0_111_111 % 20.08/5.30 | % 20.08/5.30 +-Applying beta-rule and splitting (73), into two cases. % 20.08/5.30 |-Branch one: % 20.08/5.30 | (1170) all_0_135_135 = e13 % 20.08/5.30 | % 20.08/5.30 | Combining equations (1266,1170) yields a new equation: % 20.08/5.30 | (1382) e13 = e12 % 20.08/5.30 | % 20.08/5.30 | Equations (1382) can reduce 292 to: % 20.08/5.30 | (423) $false % 20.08/5.30 | % 20.08/5.30 |-The branch is then unsatisfiable % 20.08/5.30 |-Branch two: % 20.08/5.30 | (1173) ~ (all_0_135_135 = e13) % 20.08/5.30 | (1734) all_0_139_139 = e13 | all_0_143_143 = e13 % 20.08/5.30 | % 20.08/5.30 +-Applying beta-rule and splitting (1734), into two cases. % 20.08/5.30 |-Branch one: % 20.08/5.30 | (1039) all_0_139_139 = e13 % 20.08/5.30 | % 20.08/5.30 | Equations (1039) can reduce 985 to: % 20.08/5.30 | (292) ~ (e13 = e12) % 20.08/5.30 | % 20.08/5.30 | From (1039) and (30) follows: % 20.08/5.30 | (1737) op1(e13, e11) = all_0_112_112 % 20.08/5.30 | % 20.08/5.30 | Instantiating formula (312) with e13, e11, all_0_112_112, e12 and discharging atoms op1(e13, e11) = all_0_112_112, op1(e13, e11) = e12, yields: % 20.08/5.30 | (1738) all_0_112_112 = e12 % 20.08/5.30 | % 20.08/5.30 | Instantiating formula (312) with e12, e12, all_0_111_111, all_0_136_136 and discharging atoms op1(e12, e12) = all_0_111_111, op1(e12, e12) = all_0_136_136, yields: % 20.08/5.30 | (1739) all_0_111_111 = all_0_136_136 % 20.08/5.30 | % 20.08/5.30 +-Applying beta-rule and splitting (168), into two cases. % 20.08/5.30 |-Branch one: % 20.08/5.30 | (1552) all_0_111_111 = all_0_135_135 % 20.08/5.30 | % 20.08/5.30 | Combining equations (1552,1739) yields a new equation: % 20.08/5.30 | (1741) all_0_135_135 = all_0_136_136 % 20.08/5.30 | % 20.08/5.30 | Simplifying 1741 yields: % 20.08/5.30 | (1742) all_0_135_135 = all_0_136_136 % 20.08/5.30 | % 20.08/5.30 | Combining equations (1742,1266) yields a new equation: % 20.08/5.30 | (1743) all_0_136_136 = e12 % 20.08/5.30 | % 20.08/5.30 | Simplifying 1743 yields: % 20.08/5.30 | (980) all_0_136_136 = e12 % 20.08/5.30 | % 20.08/5.30 | Equations (980) can reduce 975 to: % 20.08/5.30 | (423) $false % 20.08/5.30 | % 20.08/5.30 |-The branch is then unsatisfiable % 20.08/5.30 |-Branch two: % 20.08/5.30 | (1558) ~ (all_0_111_111 = all_0_135_135) % 20.08/5.30 | (1559) all_0_112_112 = all_0_139_139 | all_0_113_113 = all_0_143_143 % 20.08/5.30 | % 20.08/5.30 +-Applying beta-rule and splitting (1559), into two cases. % 20.08/5.30 |-Branch one: % 20.08/5.30 | (1562) all_0_112_112 = all_0_139_139 % 20.08/5.30 | % 20.08/5.30 | Combining equations (1562,1738) yields a new equation: % 20.08/5.30 | (1749) all_0_139_139 = e12 % 20.08/5.30 | % 20.08/5.30 | Simplifying 1749 yields: % 20.08/5.30 | (1036) all_0_139_139 = e12 % 20.08/5.30 | % 20.08/5.30 | Combining equations (1036,1039) yields a new equation: % 20.08/5.30 | (1382) e13 = e12 % 20.08/5.30 | % 20.08/5.30 | Equations (1382) can reduce 292 to: % 20.08/5.30 | (423) $false % 20.08/5.30 | % 20.08/5.30 |-The branch is then unsatisfiable % 20.08/5.30 |-Branch two: % 20.08/5.30 | (1664) ~ (all_0_112_112 = all_0_139_139) % 20.08/5.30 | (1665) all_0_113_113 = all_0_143_143 % 20.08/5.30 | % 20.08/5.30 | Combining equations (1723,1665) yields a new equation: % 20.08/5.30 | (1755) all_0_143_143 = all_0_146_146 % 20.08/5.30 | % 20.08/5.30 | Combining equations (1003,1755) yields a new equation: % 20.08/5.30 | (1009) all_0_146_146 = e10 % 20.08/5.30 | % 20.08/5.30 | Equations (1009) can reduce 999 to: % 20.08/5.30 | (423) $false % 20.08/5.30 | % 20.08/5.30 |-The branch is then unsatisfiable % 20.08/5.30 |-Branch two: % 20.08/5.30 | (1296) ~ (all_0_139_139 = e13) % 20.08/5.30 | (1759) all_0_143_143 = e13 % 20.08/5.30 | % 20.08/5.30 | Combining equations (1759,1003) yields a new equation: % 20.08/5.30 | (1390) e13 = e10 % 20.08/5.30 | % 20.08/5.30 | Simplifying 1390 yields: % 20.08/5.30 | (1171) e13 = e10 % 20.08/5.30 | % 20.08/5.30 | Equations (1171) can reduce 197 to: % 20.08/5.30 | (423) $false % 20.08/5.30 | % 20.08/5.30 |-The branch is then unsatisfiable % 20.08/5.30 |-Branch two: % 20.08/5.30 | (960) ~ (all_0_135_135 = e12) % 20.08/5.30 | (1764) all_0_139_139 = e12 | all_0_143_143 = e12 % 20.08/5.30 | % 20.08/5.30 +-Applying beta-rule and splitting (309), into two cases. % 20.08/5.30 |-Branch one: % 20.08/5.30 | (1030) all_0_135_135 = e10 % 20.08/5.30 | % 20.08/5.30 | Equations (1030) can reduce 1224 to: % 20.08/5.30 | (423) $false % 20.08/5.30 | % 20.08/5.30 |-The branch is then unsatisfiable % 20.08/5.30 |-Branch two: % 20.08/5.30 | (1224) ~ (all_0_135_135 = e10) % 20.08/5.30 | (1535) all_0_135_135 = e13 | all_0_135_135 = e12 % 20.08/5.30 | % 20.08/5.30 +-Applying beta-rule and splitting (1535), into two cases. % 20.08/5.30 |-Branch one: % 20.08/5.30 | (1266) all_0_135_135 = e12 % 20.08/5.30 | % 20.08/5.30 | Equations (1266) can reduce 960 to: % 20.08/5.30 | (423) $false % 20.08/5.30 | % 20.08/5.30 |-The branch is then unsatisfiable % 20.08/5.30 |-Branch two: % 20.08/5.30 | (960) ~ (all_0_135_135 = e12) % 20.08/5.30 | (1170) all_0_135_135 = e13 % 20.08/5.30 | % 20.08/5.30 | Equations (1170) can reduce 2 to: % 20.08/5.30 | (1542) ~ (all_0_139_139 = e13) % 20.08/5.30 | % 20.08/5.30 | Simplifying 1542 yields: % 20.08/5.30 | (1296) ~ (all_0_139_139 = e13) % 20.08/5.30 | % 20.08/5.30 | Equations (1170) can reduce 1224 to: % 20.08/5.30 | (197) ~ (e13 = e10) % 20.08/5.30 | % 20.08/5.30 | From (1170) and (143) follows: % 20.08/5.30 | (1545) op1(e13, e12) = all_0_111_111 % 20.08/5.30 | % 20.08/5.30 +-Applying beta-rule and splitting (127), into two cases. % 20.08/5.30 |-Branch one: % 20.08/5.30 | (1013) all_0_139_139 = e10 % 20.08/5.30 | % 20.08/5.30 | Equations (1013) can reduce 997 to: % 20.08/5.30 | (423) $false % 20.08/5.30 | % 20.08/5.30 |-The branch is then unsatisfiable % 20.08/5.30 |-Branch two: % 20.08/5.30 | (997) ~ (all_0_139_139 = e10) % 20.08/5.30 | (1016) all_0_139_139 = e13 | all_0_139_139 = e12 % 20.08/5.30 | % 20.08/5.30 +-Applying beta-rule and splitting (1016), into two cases. % 20.08/5.30 |-Branch one: % 20.08/5.30 | (1036) all_0_139_139 = e12 % 20.08/5.30 | % 20.08/5.30 | From (1036) and (30) follows: % 20.08/5.30 | (1782) op1(e12, e11) = all_0_112_112 % 20.08/5.30 | % 20.08/5.30 | Instantiating formula (312) with e13, e12, all_0_111_111, e10 and discharging atoms op1(e13, e12) = all_0_111_111, op1(e13, e12) = e10, yields: % 20.08/5.30 | (1550) all_0_111_111 = e10 % 20.08/5.30 | % 20.08/5.30 | Instantiating formula (312) with e12, e11, all_0_112_112, all_0_137_137 and discharging atoms op1(e12, e11) = all_0_112_112, op1(e12, e11) = all_0_137_137, yields: % 20.08/5.30 | (1784) all_0_112_112 = all_0_137_137 % 20.08/5.30 | % 20.08/5.30 +-Applying beta-rule and splitting (168), into two cases. % 20.08/5.30 |-Branch one: % 20.08/5.30 | (1552) all_0_111_111 = all_0_135_135 % 20.08/5.30 | % 20.08/5.30 | Combining equations (1552,1550) yields a new equation: % 20.08/5.30 | (1553) all_0_135_135 = e10 % 20.08/5.30 | % 20.08/5.30 | Simplifying 1553 yields: % 20.08/5.30 | (1030) all_0_135_135 = e10 % 20.08/5.30 | % 20.08/5.30 | Combining equations (1030,1170) yields a new equation: % 20.08/5.30 | (1171) e13 = e10 % 20.08/5.30 | % 20.08/5.30 | Equations (1171) can reduce 197 to: % 20.08/5.30 | (423) $false % 20.08/5.30 | % 20.08/5.30 |-The branch is then unsatisfiable % 20.08/5.30 |-Branch two: % 20.08/5.30 | (1558) ~ (all_0_111_111 = all_0_135_135) % 20.08/5.30 | (1559) all_0_112_112 = all_0_139_139 | all_0_113_113 = all_0_143_143 % 20.08/5.30 | % 20.08/5.30 +-Applying beta-rule and splitting (1559), into two cases. % 20.08/5.30 |-Branch one: % 20.08/5.30 | (1562) all_0_112_112 = all_0_139_139 % 20.08/5.30 | % 20.08/5.30 | Combining equations (1562,1784) yields a new equation: % 20.08/5.30 | (1793) all_0_137_137 = all_0_139_139 % 20.08/5.30 | % 20.08/5.30 | Combining equations (1036,1793) yields a new equation: % 20.08/5.30 | (1794) all_0_137_137 = e12 % 20.08/5.30 | % 20.08/5.30 | Equations (1794) can reduce 255 to: % 20.08/5.30 | (423) $false % 20.08/5.30 | % 20.08/5.30 |-The branch is then unsatisfiable % 20.08/5.30 |-Branch two: % 20.08/5.30 | (1664) ~ (all_0_112_112 = all_0_139_139) % 20.08/5.30 | (1665) all_0_113_113 = all_0_143_143 % 20.08/5.30 | % 20.08/5.30 | Combining equations (1723,1665) yields a new equation: % 20.08/5.30 | (1755) all_0_143_143 = all_0_146_146 % 20.08/5.30 | % 20.08/5.30 | Combining equations (1003,1755) yields a new equation: % 20.08/5.30 | (1009) all_0_146_146 = e10 % 20.08/5.30 | % 20.08/5.30 | Equations (1009) can reduce 999 to: % 20.08/5.30 | (423) $false % 20.08/5.30 | % 20.08/5.30 |-The branch is then unsatisfiable % 20.08/5.30 |-Branch two: % 20.08/5.30 | (985) ~ (all_0_139_139 = e12) % 20.08/5.30 | (1039) all_0_139_139 = e13 % 20.08/5.30 | % 20.08/5.30 | Equations (1039) can reduce 1296 to: % 20.08/5.30 | (423) $false % 20.08/5.30 | % 20.08/5.30 |-The branch is then unsatisfiable % 20.08/5.30 |-Branch two: % 20.08/5.30 | (1006) ~ (all_0_143_143 = e10) % 20.08/5.30 | (1805) all_0_143_143 = e13 | all_0_143_143 = e12 % 20.08/5.30 | % 20.08/5.30 +-Applying beta-rule and splitting (1805), into two cases. % 20.08/5.30 |-Branch one: % 20.08/5.30 | (959) all_0_143_143 = e12 % 20.08/5.30 | % 20.08/5.30 | Equations (959) can reduce 1715 to: % 20.08/5.30 | (423) $false % 20.08/5.30 | % 20.08/5.30 |-The branch is then unsatisfiable % 20.08/5.30 |-Branch two: % 20.08/5.30 | (1715) ~ (all_0_143_143 = e12) % 20.08/5.30 | (1759) all_0_143_143 = e13 % 20.08/5.30 | % 20.08/5.31 | Equations (1759) can reduce 187 to: % 20.08/5.31 | (1173) ~ (all_0_135_135 = e13) % 20.08/5.31 | % 20.08/5.31 | Equations (1759) can reduce 88 to: % 20.08/5.31 | (1296) ~ (all_0_139_139 = e13) % 20.08/5.31 | % 20.08/5.31 | Equations (1759) can reduce 360 to: % 20.08/5.31 | (1812) ~ (all_0_144_144 = e13) % 20.08/5.31 | % 20.08/5.31 | Simplifying 1812 yields: % 20.08/5.31 | (1813) ~ (all_0_144_144 = e13) % 20.08/5.31 | % 20.08/5.31 | Equations (1759) can reduce 243 to: % 20.08/5.31 | (1073) ~ (all_0_145_145 = e13) % 20.08/5.31 | % 20.08/5.31 | Simplifying 1073 yields: % 20.08/5.31 | (1074) ~ (all_0_145_145 = e13) % 20.08/5.31 | % 20.08/5.31 | Equations (1759) can reduce 215 to: % 20.08/5.31 | (349) ~ (e13 = e11) % 20.08/5.31 | % 20.08/5.31 | Equations (1759) can reduce 1006 to: % 20.08/5.31 | (197) ~ (e13 = e10) % 20.08/5.31 | % 20.08/5.31 +-Applying beta-rule and splitting (301), into two cases. % 20.08/5.31 |-Branch one: % 20.08/5.31 | (1030) all_0_135_135 = e10 % 20.08/5.31 | % 20.08/5.31 | Equations (1030) can reduce 279 to: % 20.08/5.31 | (1031) ~ (all_0_136_136 = e10) % 20.08/5.31 | % 20.08/5.31 | Simplifying 1031 yields: % 20.08/5.31 | (32) ~ (all_0_136_136 = e10) % 20.08/5.31 | % 20.08/5.31 | Equations (1030) can reduce 29 to: % 20.08/5.31 | (1355) ~ (all_0_137_137 = e10) % 20.08/5.31 | % 20.08/5.31 | Simplifying 1355 yields: % 20.08/5.31 | (1238) ~ (all_0_137_137 = e10) % 20.08/5.31 | % 20.08/5.31 | Equations (1030) can reduce 262 to: % 20.08/5.31 | (1823) ~ (all_0_138_138 = e10) % 20.08/5.31 | % 20.08/5.31 | Simplifying 1823 yields: % 20.08/5.31 | (1277) ~ (all_0_138_138 = e10) % 20.08/5.31 | % 20.08/5.31 | Equations (1030) can reduce 2 to: % 20.08/5.31 | (1357) ~ (all_0_139_139 = e10) % 20.08/5.31 | % 20.08/5.31 | Simplifying 1357 yields: % 20.08/5.31 | (997) ~ (all_0_139_139 = e10) % 20.08/5.31 | % 20.08/5.31 | Equations (1030) can reduce 1173 to: % 20.08/5.31 | (1166) ~ (e13 = e10) % 20.08/5.31 | % 20.08/5.31 | Simplifying 1166 yields: % 20.08/5.31 | (197) ~ (e13 = e10) % 20.08/5.31 | % 20.08/5.31 +-Applying beta-rule and splitting (127), into two cases. % 20.08/5.31 |-Branch one: % 20.08/5.31 | (1013) all_0_139_139 = e10 % 20.08/5.31 | % 20.08/5.31 | Equations (1013) can reduce 997 to: % 20.08/5.31 | (423) $false % 20.08/5.31 | % 20.08/5.31 |-The branch is then unsatisfiable % 20.08/5.31 |-Branch two: % 20.08/5.31 | (997) ~ (all_0_139_139 = e10) % 20.08/5.31 | (1016) all_0_139_139 = e13 | all_0_139_139 = e12 % 20.08/5.31 | % 20.08/5.31 +-Applying beta-rule and splitting (1016), into two cases. % 20.08/5.31 |-Branch one: % 20.08/5.31 | (1036) all_0_139_139 = e12 % 20.08/5.31 | % 20.08/5.31 | Equations (1036) can reduce 166 to: % 20.08/5.31 | (1344) ~ (all_0_140_140 = e12) % 20.08/5.31 | % 20.08/5.31 | Simplifying 1344 yields: % 20.08/5.31 | (1295) ~ (all_0_140_140 = e12) % 20.08/5.31 | % 20.08/5.31 | Equations (1036) can reduce 320 to: % 20.08/5.31 | (986) ~ (all_0_142_142 = e12) % 20.08/5.31 | % 20.08/5.31 | Simplifying 986 yields: % 20.08/5.31 | (987) ~ (all_0_142_142 = e12) % 20.08/5.31 | % 20.08/5.31 | Equations (1036) can reduce 152 to: % 20.08/5.31 | (313) ~ (e12 = e11) % 20.08/5.31 | % 20.08/5.31 +-Applying beta-rule and splitting (118), into two cases. % 20.08/5.31 |-Branch one: % 20.08/5.31 | (973) all_0_138_138 = e12 % 20.08/5.31 | % 20.08/5.31 | Equations (973) can reduce 316 to: % 20.08/5.31 | (986) ~ (all_0_142_142 = e12) % 20.08/5.31 | % 20.08/5.31 | Simplifying 986 yields: % 20.08/5.31 | (987) ~ (all_0_142_142 = e12) % 20.08/5.31 | % 20.08/5.31 | Equations (973) can reduce 50 to: % 20.08/5.31 | (965) ~ (all_0_146_146 = e12) % 20.08/5.31 | % 20.08/5.31 | Simplifying 965 yields: % 20.08/5.31 | (966) ~ (all_0_146_146 = e12) % 20.08/5.31 | % 20.08/5.31 +-Applying beta-rule and splitting (1716), into two cases. % 20.08/5.31 |-Branch one: % 20.08/5.31 | (1054) all_0_144_144 = e12 % 20.08/5.31 | % 20.08/5.31 | Equations (1054) can reduce 370 to: % 20.08/5.31 | (963) ~ (all_0_145_145 = e12) % 20.08/5.31 | % 20.08/5.31 | Simplifying 963 yields: % 20.08/5.31 | (298) ~ (all_0_145_145 = e12) % 20.08/5.31 | % 20.08/5.31 | Equations (1054) can reduce 94 to: % 20.08/5.31 | (965) ~ (all_0_146_146 = e12) % 20.08/5.31 | % 20.08/5.31 | Simplifying 965 yields: % 20.08/5.31 | (966) ~ (all_0_146_146 = e12) % 20.08/5.31 | % 20.08/5.31 | Equations (1054) can reduce 1813 to: % 20.08/5.31 | (1849) ~ (e13 = e12) % 20.08/5.31 | % 20.08/5.31 | Simplifying 1849 yields: % 20.08/5.31 | (292) ~ (e13 = e12) % 20.08/5.31 | % 20.08/5.31 | Equations (1054) can reduce 139 to: % 20.08/5.31 | (165) ~ (e12 = e10) % 20.08/5.31 | % 20.08/5.31 +-Applying beta-rule and splitting (268), into two cases. % 20.08/5.31 |-Branch one: % 20.08/5.31 | (1058) all_0_136_136 = e11 % 20.08/5.31 | % 20.08/5.31 | Equations (1058) can reduce 220 to: % 20.08/5.31 | (1059) ~ (all_0_137_137 = e11) % 20.08/5.31 | % 20.08/5.31 | Simplifying 1059 yields: % 20.08/5.31 | (1060) ~ (all_0_137_137 = e11) % 20.08/5.31 | % 20.08/5.31 | Equations (1058) can reduce 32 to: % 20.08/5.31 | (297) ~ (e11 = e10) % 20.08/5.31 | % 20.08/5.31 +-Applying beta-rule and splitting (135), into two cases. % 20.08/5.31 |-Branch one: % 20.08/5.31 | (1381) all_0_136_136 = e13 % 20.08/5.31 | % 20.08/5.31 | Combining equations (1058,1381) yields a new equation: % 20.08/5.31 | (1181) e13 = e11 % 20.08/5.31 | % 20.08/5.31 | Equations (1181) can reduce 349 to: % 20.08/5.31 | (423) $false % 20.08/5.31 | % 20.08/5.31 |-The branch is then unsatisfiable % 20.08/5.31 |-Branch two: % 20.08/5.31 | (1267) ~ (all_0_136_136 = e13) % 20.08/5.31 | (1860) all_0_140_140 = e13 | all_0_144_144 = e13 % 20.08/5.31 | % 20.08/5.31 +-Applying beta-rule and splitting (25), into two cases. % 20.08/5.31 |-Branch one: % 20.08/5.31 | (1230) all_0_137_137 = e10 % 20.08/5.31 | % 20.08/5.31 | Equations (1230) can reduce 1238 to: % 20.08/5.31 | (423) $false % 20.08/5.31 | % 20.08/5.31 |-The branch is then unsatisfiable % 20.08/5.31 |-Branch two: % 20.08/5.31 | (1238) ~ (all_0_137_137 = e10) % 20.08/5.31 | (1864) all_0_137_137 = e13 | all_0_137_137 = e11 % 20.08/5.31 | % 20.08/5.31 +-Applying beta-rule and splitting (335), into two cases. % 20.08/5.31 |-Branch one: % 20.08/5.31 | (1003) all_0_143_143 = e10 % 20.08/5.31 | % 20.08/5.31 | Combining equations (1759,1003) yields a new equation: % 20.08/5.31 | (1390) e13 = e10 % 20.08/5.31 | % 20.08/5.31 | Simplifying 1390 yields: % 20.45/5.31 | (1171) e13 = e10 % 20.45/5.31 | % 20.45/5.31 | Equations (1171) can reduce 197 to: % 20.45/5.31 | (423) $false % 20.45/5.31 | % 20.45/5.31 |-The branch is then unsatisfiable % 20.45/5.31 |-Branch two: % 20.45/5.31 | (1006) ~ (all_0_143_143 = e10) % 20.45/5.31 | (1260) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11)) | ( ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 20.45/5.31 | % 20.45/5.31 +-Applying beta-rule and splitting (1860), into two cases. % 20.45/5.31 |-Branch one: % 20.45/5.31 | (1871) all_0_140_140 = e13 % 20.45/5.31 | % 20.45/5.31 +-Applying beta-rule and splitting (1864), into two cases. % 20.45/5.31 |-Branch one: % 20.45/5.31 | (1065) all_0_137_137 = e11 % 20.45/5.31 | % 20.45/5.31 | Equations (1065) can reduce 1060 to: % 20.45/5.31 | (423) $false % 20.45/5.31 | % 20.45/5.31 |-The branch is then unsatisfiable % 20.45/5.31 |-Branch two: % 20.45/5.31 | (1060) ~ (all_0_137_137 = e11) % 20.45/5.31 | (1076) all_0_137_137 = e13 % 20.45/5.31 | % 20.45/5.31 | Equations (1076) can reduce 1060 to: % 20.45/5.31 | (349) ~ (e13 = e11) % 20.45/5.31 | % 20.45/5.31 +-Applying beta-rule and splitting (1260), into two cases. % 20.45/5.31 |-Branch one: % 20.45/5.31 | (1261) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11)) % 20.45/5.31 | % 20.45/5.31 +-Applying beta-rule and splitting (1261), into two cases. % 20.45/5.31 |-Branch one: % 20.45/5.31 | (1262) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 20.45/5.31 | % 20.45/5.31 +-Applying beta-rule and splitting (1262), into two cases. % 20.45/5.31 |-Branch one: % 20.45/5.31 | (1263) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) % 20.45/5.31 | % 20.45/5.31 +-Applying beta-rule and splitting (1263), into two cases. % 20.45/5.31 |-Branch one: % 20.45/5.31 | (1264) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 20.45/5.31 | % 20.45/5.31 +-Applying beta-rule and splitting (1264), into two cases. % 20.45/5.31 |-Branch one: % 20.45/5.31 | (1265) all_0_135_135 = e12 & ~ (all_0_136_136 = e13) % 20.45/5.31 | % 20.45/5.31 | Applying alpha-rule on (1265) yields: % 20.45/5.31 | (1266) all_0_135_135 = e12 % 20.45/5.31 | (1267) ~ (all_0_136_136 = e13) % 20.45/5.31 | % 20.45/5.31 | Combining equations (1266,1030) yields a new equation: % 20.45/5.31 | (1256) e12 = e10 % 20.45/5.31 | % 20.45/5.31 | Simplifying 1256 yields: % 20.45/5.31 | (1004) e12 = e10 % 20.45/5.31 | % 20.45/5.31 | Equations (1004) can reduce 165 to: % 20.45/5.31 | (423) $false % 20.45/5.31 | % 20.45/5.31 |-The branch is then unsatisfiable % 20.45/5.31 |-Branch two: % 20.45/5.31 | (1269) all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 20.45/5.31 | % 20.45/5.31 | Applying alpha-rule on (1269) yields: % 20.45/5.31 | (1050) ~ (all_0_145_145 = e11) % 20.45/5.31 | (999) ~ (all_0_146_146 = e10) % 20.45/5.31 | (973) all_0_138_138 = e12 % 20.45/5.31 | (962) ~ (all_0_144_144 = e12) % 20.45/5.31 | (1274) ~ (all_0_143_143 = e13) % 20.45/5.31 | % 20.45/5.31 | Equations (1054) can reduce 962 to: % 20.45/5.31 | (423) $false % 20.45/5.31 | % 20.45/5.31 |-The branch is then unsatisfiable % 20.45/5.31 |-Branch two: % 20.45/5.31 | (1276) all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10) % 20.45/5.31 | % 20.45/5.31 | Applying alpha-rule on (1276) yields: % 20.45/5.31 | (1277) ~ (all_0_138_138 = e10) % 20.45/5.31 | (1060) ~ (all_0_137_137 = e11) % 20.45/5.31 | (1024) all_0_140_140 = e11 % 20.45/5.31 | (1173) ~ (all_0_135_135 = e13) % 20.45/5.31 | (975) ~ (all_0_136_136 = e12) % 20.45/5.31 | % 20.45/5.31 | Combining equations (1024,1871) yields a new equation: % 20.45/5.31 | (1181) e13 = e11 % 20.45/5.31 | % 20.45/5.31 | Equations (1181) can reduce 349 to: % 20.45/5.31 | (423) $false % 20.45/5.31 | % 20.45/5.31 |-The branch is then unsatisfiable % 20.45/5.31 |-Branch two: % 20.45/5.31 | (1284) all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 20.45/5.31 | % 20.45/5.31 | Applying alpha-rule on (1284) yields: % 20.45/5.31 | (1050) ~ (all_0_145_145 = e11) % 20.45/5.31 | (999) ~ (all_0_146_146 = e10) % 20.45/5.31 | (1287) ~ (all_0_141_141 = e10) % 20.45/5.32 | (962) ~ (all_0_144_144 = e12) % 20.45/5.32 | (1274) ~ (all_0_143_143 = e13) % 20.45/5.32 | (1043) all_0_142_142 = e11 % 20.45/5.32 | % 20.45/5.32 | Equations (1054) can reduce 962 to: % 20.45/5.32 | (423) $false % 20.45/5.32 | % 20.45/5.32 |-The branch is then unsatisfiable % 20.45/5.32 |-Branch two: % 20.45/5.32 | (1292) all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11) % 20.45/5.32 | % 20.45/5.32 | Applying alpha-rule on (1292) yields: % 20.45/5.32 | (1242) ~ (all_0_142_142 = e10) % 20.45/5.32 | (1294) ~ (all_0_146_146 = e11) % 20.45/5.32 | (1295) ~ (all_0_140_140 = e12) % 20.45/5.32 | (1296) ~ (all_0_139_139 = e13) % 20.45/5.32 | (1078) all_0_145_145 = e10 % 20.45/5.32 | (1151) ~ (all_0_141_141 = e11) % 20.45/5.32 | % 20.45/5.32 +-Applying beta-rule and splitting (113), into two cases. % 20.45/5.32 |-Branch one: % 20.45/5.32 | (1065) all_0_137_137 = e11 % 20.45/5.32 | % 20.45/5.32 | Combining equations (1065,1076) yields a new equation: % 20.45/5.32 | (1181) e13 = e11 % 20.45/5.32 | % 20.45/5.32 | Equations (1181) can reduce 349 to: % 20.45/5.32 | (423) $false % 20.45/5.32 | % 20.45/5.32 |-The branch is then unsatisfiable % 20.45/5.32 |-Branch two: % 20.45/5.32 | (1060) ~ (all_0_137_137 = e11) % 20.45/5.32 | (1068) all_0_141_141 = e11 | all_0_145_145 = e11 % 20.45/5.32 | % 20.45/5.32 +-Applying beta-rule and splitting (1068), into two cases. % 20.45/5.32 |-Branch one: % 20.45/5.32 | (1082) all_0_141_141 = e11 % 20.45/5.32 | % 20.45/5.32 | Equations (1082) can reduce 1151 to: % 20.45/5.32 | (423) $false % 20.45/5.32 | % 20.45/5.32 |-The branch is then unsatisfiable % 20.45/5.32 |-Branch two: % 20.45/5.32 | (1151) ~ (all_0_141_141 = e11) % 20.45/5.32 | (1188) all_0_145_145 = e11 % 20.45/5.32 | % 20.45/5.32 | Combining equations (1188,1078) yields a new equation: % 20.45/5.32 | (1044) e11 = e10 % 20.45/5.32 | % 20.45/5.32 | Simplifying 1044 yields: % 20.45/5.32 | (1045) e11 = e10 % 20.45/5.32 | % 20.45/5.32 | Equations (1045) can reduce 297 to: % 20.45/5.32 | (423) $false % 20.45/5.32 | % 20.45/5.32 |-The branch is then unsatisfiable % 20.45/5.32 |-Branch two: % 20.45/5.32 | (1300) ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 20.45/5.32 | % 20.45/5.32 | Applying alpha-rule on (1300) yields: % 20.45/5.32 | (1274) ~ (all_0_143_143 = e13) % 20.45/5.32 | (962) ~ (all_0_144_144 = e12) % 20.45/5.32 | (1050) ~ (all_0_145_145 = e11) % 20.45/5.32 | (999) ~ (all_0_146_146 = e10) % 20.45/5.32 | % 20.45/5.32 | Equations (1054) can reduce 962 to: % 20.45/5.32 | (423) $false % 20.45/5.32 | % 20.45/5.32 |-The branch is then unsatisfiable % 20.45/5.32 |-Branch two: % 20.45/5.32 | (1935) ~ (all_0_140_140 = e13) % 20.45/5.32 | (1072) all_0_144_144 = e13 % 20.45/5.32 | % 20.45/5.32 | Combining equations (1054,1072) yields a new equation: % 20.45/5.32 | (1382) e13 = e12 % 20.45/5.32 | % 20.45/5.32 | Equations (1382) can reduce 292 to: % 20.45/5.32 | (423) $false % 20.45/5.32 | % 20.45/5.32 |-The branch is then unsatisfiable % 20.45/5.32 |-Branch two: % 20.45/5.32 | (1197) ~ (all_0_136_136 = e11) % 20.45/5.32 | (1202) all_0_137_137 = e11 | all_0_138_138 = e11 % 20.45/5.32 | % 20.45/5.32 +-Applying beta-rule and splitting (1202), into two cases. % 20.45/5.32 |-Branch one: % 20.45/5.32 | (1065) all_0_137_137 = e11 % 20.45/5.32 | % 20.45/5.32 | Equations (1065) can reduce 82 to: % 20.45/5.32 | (1942) ~ (all_0_145_145 = e11) % 20.45/5.32 | % 20.45/5.32 | Simplifying 1942 yields: % 20.45/5.32 | (1050) ~ (all_0_145_145 = e11) % 20.45/5.32 | % 20.45/5.32 +-Applying beta-rule and splitting (214), into two cases. % 20.45/5.32 |-Branch one: % 20.45/5.32 | (1078) all_0_145_145 = e10 % 20.45/5.32 | % 20.45/5.32 | Equations (1078) can reduce 328 to: % 20.45/5.32 | (998) ~ (all_0_146_146 = e10) % 20.45/5.32 | % 20.45/5.32 | Simplifying 998 yields: % 20.45/5.32 | (999) ~ (all_0_146_146 = e10) % 20.45/5.32 | % 20.45/5.32 | Equations (1078) can reduce 1074 to: % 20.45/5.32 | (1166) ~ (e13 = e10) % 20.45/5.32 | % 20.45/5.32 | Simplifying 1166 yields: % 20.45/5.32 | (197) ~ (e13 = e10) % 20.45/5.32 | % 20.45/5.32 | Equations (1078) can reduce 298 to: % 20.45/5.32 | (1000) ~ (e12 = e10) % 20.45/5.32 | % 20.45/5.32 | Simplifying 1000 yields: % 20.45/5.32 | (165) ~ (e12 = e10) % 20.45/5.32 | % 20.45/5.32 +-Applying beta-rule and splitting (109), into two cases. % 20.45/5.32 |-Branch one: % 20.45/5.32 | (1013) all_0_139_139 = e10 % 20.45/5.32 | % 20.45/5.32 | Combining equations (1036,1013) yields a new equation: % 20.45/5.32 | (1256) e12 = e10 % 20.45/5.32 | % 20.45/5.32 | Simplifying 1256 yields: % 20.45/5.32 | (1004) e12 = e10 % 20.45/5.32 | % 20.45/5.32 | Equations (1004) can reduce 165 to: % 20.45/5.32 | (423) $false % 20.45/5.32 | % 20.45/5.32 |-The branch is then unsatisfiable % 20.45/5.32 |-Branch two: % 20.45/5.32 | (997) ~ (all_0_139_139 = e10) % 20.45/5.32 | (1394) all_0_141_141 = e10 | all_0_142_142 = e10 % 20.45/5.32 | % 20.45/5.32 | Equations (1036) can reduce 997 to: % 20.45/5.32 | (165) ~ (e12 = e10) % 20.45/5.32 | % 20.45/5.32 +-Applying beta-rule and splitting (224), into two cases. % 20.45/5.32 |-Branch one: % 20.45/5.32 | (1009) all_0_146_146 = e10 % 20.45/5.32 | % 20.45/5.32 | Equations (1009) can reduce 999 to: % 20.45/5.32 | (423) $false % 20.45/5.32 | % 20.45/5.32 |-The branch is then unsatisfiable % 20.45/5.32 |-Branch two: % 20.45/5.32 | (999) ~ (all_0_146_146 = e10) % 20.45/5.32 | (1012) all_0_146_146 = e12 | all_0_146_146 = e11 % 20.45/5.32 | % 20.45/5.32 +-Applying beta-rule and splitting (210), into two cases. % 20.45/5.32 |-Branch one: % 20.45/5.32 | (1239) all_0_138_138 = e10 % 20.45/5.32 | % 20.45/5.32 | Combining equations (973,1239) yields a new equation: % 20.45/5.32 | (1256) e12 = e10 % 20.45/5.32 | % 20.45/5.32 | Simplifying 1256 yields: % 20.45/5.32 | (1004) e12 = e10 % 20.45/5.32 | % 20.45/5.32 | Equations (1004) can reduce 165 to: % 20.45/5.32 | (423) $false % 20.45/5.32 | % 20.45/5.32 |-The branch is then unsatisfiable % 20.45/5.32 |-Branch two: % 20.45/5.32 | (1277) ~ (all_0_138_138 = e10) % 20.45/5.32 | (1313) all_0_142_142 = e10 | all_0_146_146 = e10 % 20.45/5.32 | % 20.45/5.32 +-Applying beta-rule and splitting (335), into two cases. % 20.45/5.32 |-Branch one: % 20.45/5.32 | (1003) all_0_143_143 = e10 % 20.45/5.32 | % 20.45/5.32 | Combining equations (1759,1003) yields a new equation: % 20.45/5.32 | (1390) e13 = e10 % 20.45/5.32 | % 20.45/5.32 | Simplifying 1390 yields: % 20.45/5.32 | (1171) e13 = e10 % 20.45/5.32 | % 20.45/5.32 | Equations (1171) can reduce 197 to: % 20.45/5.32 | (423) $false % 20.45/5.32 | % 20.45/5.32 |-The branch is then unsatisfiable % 20.45/5.32 |-Branch two: % 20.45/5.32 | (1006) ~ (all_0_143_143 = e10) % 20.45/5.32 | (1260) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11)) | ( ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 20.45/5.32 | % 20.45/5.32 +-Applying beta-rule and splitting (1313), into two cases. % 20.45/5.32 |-Branch one: % 20.45/5.32 | (996) all_0_142_142 = e10 % 20.45/5.32 | % 20.45/5.32 | Equations (996) can reduce 115 to: % 20.45/5.32 | (998) ~ (all_0_146_146 = e10) % 20.45/5.32 | % 20.45/5.32 | Simplifying 998 yields: % 20.45/5.32 | (999) ~ (all_0_146_146 = e10) % 20.45/5.32 | % 20.45/5.32 | Equations (996) can reduce 987 to: % 20.45/5.32 | (1000) ~ (e12 = e10) % 20.45/5.32 | % 20.45/5.32 | Simplifying 1000 yields: % 20.45/5.32 | (165) ~ (e12 = e10) % 20.45/5.32 | % 20.45/5.32 +-Applying beta-rule and splitting (1012), into two cases. % 20.45/5.32 |-Branch one: % 20.45/5.32 | (1599) all_0_146_146 = e12 % 20.45/5.32 | % 20.45/5.32 | Equations (1599) can reduce 966 to: % 20.45/5.32 | (423) $false % 20.45/5.32 | % 20.45/5.32 |-The branch is then unsatisfiable % 20.45/5.32 |-Branch two: % 20.45/5.32 | (966) ~ (all_0_146_146 = e12) % 20.45/5.32 | (1048) all_0_146_146 = e11 % 20.45/5.32 | % 20.45/5.32 | Equations (1048) can reduce 999 to: % 20.45/5.32 | (297) ~ (e11 = e10) % 20.45/5.32 | % 20.45/5.32 +-Applying beta-rule and splitting (1260), into two cases. % 20.45/5.32 |-Branch one: % 20.45/5.32 | (1261) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11)) % 20.45/5.32 | % 20.45/5.32 +-Applying beta-rule and splitting (1261), into two cases. % 20.45/5.32 |-Branch one: % 20.45/5.32 | (1262) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 20.45/5.32 | % 20.45/5.32 +-Applying beta-rule and splitting (1262), into two cases. % 20.45/5.32 |-Branch one: % 20.45/5.32 | (1263) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) % 20.45/5.32 | % 20.45/5.32 +-Applying beta-rule and splitting (1263), into two cases. % 20.45/5.32 |-Branch one: % 20.45/5.32 | (1264) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 20.45/5.32 | % 20.45/5.32 +-Applying beta-rule and splitting (1264), into two cases. % 20.45/5.32 |-Branch one: % 20.45/5.32 | (1265) all_0_135_135 = e12 & ~ (all_0_136_136 = e13) % 20.45/5.32 | % 20.45/5.32 | Applying alpha-rule on (1265) yields: % 20.45/5.32 | (1266) all_0_135_135 = e12 % 20.45/5.32 | (1267) ~ (all_0_136_136 = e13) % 20.45/5.32 | % 20.45/5.32 | Combining equations (1266,1030) yields a new equation: % 20.45/5.32 | (1256) e12 = e10 % 20.45/5.32 | % 20.45/5.32 | Simplifying 1256 yields: % 20.45/5.32 | (1004) e12 = e10 % 20.45/5.32 | % 20.45/5.32 | Equations (1004) can reduce 165 to: % 20.45/5.32 | (423) $false % 20.45/5.32 | % 20.45/5.32 |-The branch is then unsatisfiable % 20.45/5.32 |-Branch two: % 20.45/5.32 | (1269) all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 20.45/5.32 | % 20.45/5.32 | Applying alpha-rule on (1269) yields: % 20.45/5.32 | (1050) ~ (all_0_145_145 = e11) % 20.45/5.32 | (999) ~ (all_0_146_146 = e10) % 20.45/5.32 | (973) all_0_138_138 = e12 % 20.45/5.32 | (962) ~ (all_0_144_144 = e12) % 20.45/5.32 | (1274) ~ (all_0_143_143 = e13) % 20.45/5.32 | % 20.45/5.32 | Equations (1054) can reduce 962 to: % 20.45/5.32 | (423) $false % 20.45/5.32 | % 20.45/5.32 |-The branch is then unsatisfiable % 20.45/5.32 |-Branch two: % 20.45/5.32 | (1276) all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10) % 20.45/5.32 | % 20.45/5.32 | Applying alpha-rule on (1276) yields: % 20.45/5.32 | (1277) ~ (all_0_138_138 = e10) % 20.45/5.32 | (1060) ~ (all_0_137_137 = e11) % 20.45/5.33 | (1024) all_0_140_140 = e11 % 20.45/5.33 | (1173) ~ (all_0_135_135 = e13) % 20.45/5.33 | (975) ~ (all_0_136_136 = e12) % 20.45/5.33 | % 20.45/5.33 | Equations (1065) can reduce 1060 to: % 20.45/5.33 | (423) $false % 20.45/5.33 | % 20.45/5.33 |-The branch is then unsatisfiable % 20.45/5.33 |-Branch two: % 20.45/5.33 | (1284) all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 20.45/5.33 | % 20.45/5.33 | Applying alpha-rule on (1284) yields: % 20.45/5.33 | (1050) ~ (all_0_145_145 = e11) % 20.45/5.33 | (999) ~ (all_0_146_146 = e10) % 20.45/5.33 | (1287) ~ (all_0_141_141 = e10) % 20.45/5.33 | (962) ~ (all_0_144_144 = e12) % 20.45/5.33 | (1274) ~ (all_0_143_143 = e13) % 20.45/5.33 | (1043) all_0_142_142 = e11 % 20.45/5.33 | % 20.45/5.33 | Combining equations (996,1043) yields a new equation: % 20.45/5.33 | (1045) e11 = e10 % 20.45/5.33 | % 20.45/5.33 | Equations (1045) can reduce 297 to: % 20.45/5.33 | (423) $false % 20.45/5.33 | % 20.45/5.33 |-The branch is then unsatisfiable % 20.45/5.33 |-Branch two: % 20.45/5.33 | (1292) all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11) % 20.45/5.33 | % 20.45/5.33 | Applying alpha-rule on (1292) yields: % 20.45/5.33 | (1242) ~ (all_0_142_142 = e10) % 20.45/5.33 | (1294) ~ (all_0_146_146 = e11) % 20.45/5.33 | (1295) ~ (all_0_140_140 = e12) % 20.45/5.33 | (1296) ~ (all_0_139_139 = e13) % 20.45/5.33 | (1078) all_0_145_145 = e10 % 20.45/5.33 | (1151) ~ (all_0_141_141 = e11) % 20.45/5.33 | % 20.45/5.33 | Equations (1048) can reduce 1294 to: % 20.45/5.33 | (423) $false % 20.45/5.33 | % 20.45/5.33 |-The branch is then unsatisfiable % 20.45/5.33 |-Branch two: % 20.45/5.33 | (1300) ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 20.45/5.33 | % 20.45/5.33 | Applying alpha-rule on (1300) yields: % 20.45/5.33 | (1274) ~ (all_0_143_143 = e13) % 20.45/5.33 | (962) ~ (all_0_144_144 = e12) % 20.45/5.33 | (1050) ~ (all_0_145_145 = e11) % 20.45/5.33 | (999) ~ (all_0_146_146 = e10) % 20.45/5.33 | % 20.45/5.33 | Equations (1054) can reduce 962 to: % 20.45/5.33 | (423) $false % 20.45/5.33 | % 20.45/5.33 |-The branch is then unsatisfiable % 20.45/5.33 |-Branch two: % 20.45/5.33 | (1242) ~ (all_0_142_142 = e10) % 20.45/5.33 | (1009) all_0_146_146 = e10 % 20.45/5.33 | % 20.45/5.33 | Equations (1009) can reduce 999 to: % 20.45/5.33 | (423) $false % 20.45/5.33 | % 20.45/5.33 |-The branch is then unsatisfiable % 20.45/5.33 |-Branch two: % 20.45/5.33 | (1155) ~ (all_0_145_145 = e10) % 20.45/5.33 | (1156) all_0_145_145 = e13 | all_0_145_145 = e11 % 20.45/5.33 | % 20.45/5.33 +-Applying beta-rule and splitting (1156), into two cases. % 20.45/5.33 |-Branch one: % 20.45/5.33 | (1188) all_0_145_145 = e11 % 20.45/5.33 | % 20.45/5.33 | Equations (1188) can reduce 1050 to: % 20.45/5.33 | (423) $false % 20.45/5.33 | % 20.45/5.33 |-The branch is then unsatisfiable % 20.45/5.33 |-Branch two: % 20.45/5.33 | (1050) ~ (all_0_145_145 = e11) % 20.45/5.33 | (1184) all_0_145_145 = e13 % 20.45/5.33 | % 20.45/5.33 | Equations (1184) can reduce 1074 to: % 20.45/5.33 | (423) $false % 20.45/5.33 | % 20.45/5.33 |-The branch is then unsatisfiable % 20.45/5.33 |-Branch two: % 20.45/5.33 | (1060) ~ (all_0_137_137 = e11) % 20.45/5.33 | (1017) all_0_138_138 = e11 % 20.45/5.33 | % 20.45/5.33 | Combining equations (973,1017) yields a new equation: % 20.45/5.33 | (1018) e12 = e11 % 20.45/5.33 | % 20.45/5.33 | Simplifying 1018 yields: % 20.45/5.33 | (1019) e12 = e11 % 20.45/5.33 | % 20.45/5.33 | Equations (1019) can reduce 313 to: % 20.45/5.33 | (423) $false % 20.45/5.33 | % 20.45/5.33 |-The branch is then unsatisfiable % 20.45/5.33 |-Branch two: % 20.45/5.33 | (962) ~ (all_0_144_144 = e12) % 20.45/5.33 | (1599) all_0_146_146 = e12 % 20.45/5.33 | % 20.45/5.33 | Equations (1599) can reduce 966 to: % 20.45/5.33 | (423) $false % 20.45/5.33 | % 20.45/5.33 |-The branch is then unsatisfiable % 20.45/5.33 |-Branch two: % 20.45/5.33 | (1324) ~ (all_0_138_138 = e12) % 20.45/5.33 | (1325) all_0_142_142 = e12 | all_0_146_146 = e12 % 20.45/5.33 | % 20.45/5.33 +-Applying beta-rule and splitting (1325), into two cases. % 20.45/5.33 |-Branch one: % 20.45/5.33 | (1244) all_0_142_142 = e12 % 20.45/5.33 | % 20.45/5.33 | Equations (1244) can reduce 987 to: % 20.45/5.33 | (423) $false % 20.45/5.33 | % 20.45/5.33 |-The branch is then unsatisfiable % 20.45/5.33 |-Branch two: % 20.45/5.33 | (987) ~ (all_0_142_142 = e12) % 20.45/5.33 | (1599) all_0_146_146 = e12 % 20.45/5.33 | % 20.45/5.33 | Equations (1599) can reduce 115 to: % 20.45/5.33 | (987) ~ (all_0_142_142 = e12) % 20.45/5.33 | % 20.45/5.33 | Equations (1599) can reduce 94 to: % 20.45/5.33 | (962) ~ (all_0_144_144 = e12) % 20.45/5.33 | % 20.45/5.33 +-Applying beta-rule and splitting (263), into two cases. % 20.45/5.33 |-Branch one: % 20.45/5.33 | (980) all_0_136_136 = e12 % 20.45/5.33 | % 20.45/5.33 | Equations (980) can reduce 319 to: % 20.45/5.33 | (1342) ~ (all_0_138_138 = e12) % 20.45/5.33 | % 20.45/5.33 | Simplifying 1342 yields: % 20.45/5.33 | (1324) ~ (all_0_138_138 = e12) % 20.45/5.33 | % 20.45/5.33 | Equations (980) can reduce 32 to: % 20.45/5.33 | (165) ~ (e12 = e10) % 20.45/5.33 | % 20.45/5.33 +-Applying beta-rule and splitting (8), into two cases. % 20.45/5.33 |-Branch one: % 20.45/5.33 | (1170) all_0_135_135 = e13 % 20.45/5.33 | % 20.45/5.33 | Combining equations (1170,1030) yields a new equation: % 20.45/5.33 | (1390) e13 = e10 % 20.45/5.33 | % 20.45/5.33 | Simplifying 1390 yields: % 20.45/5.33 | (1171) e13 = e10 % 20.45/5.33 | % 20.45/5.33 | Equations (1171) can reduce 197 to: % 20.45/5.33 | (423) $false % 20.45/5.33 | % 20.45/5.33 |-The branch is then unsatisfiable % 20.45/5.33 |-Branch two: % 20.45/5.33 | (1173) ~ (all_0_135_135 = e13) % 20.45/5.33 | (1174) all_0_136_136 = e13 | all_0_137_137 = e13 % 20.45/5.33 | % 20.45/5.33 | Equations (1030) can reduce 1173 to: % 20.45/5.33 | (1166) ~ (e13 = e10) % 20.45/5.33 | % 20.45/5.33 | Simplifying 1166 yields: % 20.45/5.33 | (197) ~ (e13 = e10) % 20.45/5.33 | % 20.45/5.33 +-Applying beta-rule and splitting (335), into two cases. % 20.45/5.33 |-Branch one: % 20.45/5.33 | (1003) all_0_143_143 = e10 % 20.45/5.33 | % 20.45/5.33 | Combining equations (1003,1759) yields a new equation: % 20.45/5.33 | (1171) e13 = e10 % 20.45/5.33 | % 20.45/5.33 | Equations (1171) can reduce 197 to: % 20.45/5.33 | (423) $false % 20.45/5.33 | % 20.45/5.33 |-The branch is then unsatisfiable % 20.45/5.33 |-Branch two: % 20.45/5.33 | (1006) ~ (all_0_143_143 = e10) % 20.45/5.33 | (1260) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11)) | ( ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 20.45/5.33 | % 20.45/5.33 +-Applying beta-rule and splitting (46), into two cases. % 20.45/5.33 |-Branch one: % 20.45/5.33 | (1239) all_0_138_138 = e10 % 20.45/5.33 | % 20.45/5.33 | Equations (1239) can reduce 1277 to: % 20.45/5.33 | (423) $false % 20.45/5.33 | % 20.45/5.33 |-The branch is then unsatisfiable % 20.45/5.33 |-Branch two: % 20.45/5.33 | (1277) ~ (all_0_138_138 = e10) % 20.45/5.33 | (2077) all_0_138_138 = e12 | all_0_138_138 = e11 % 20.45/5.33 | % 20.45/5.33 +-Applying beta-rule and splitting (2077), into two cases. % 20.45/5.33 |-Branch one: % 20.45/5.33 | (973) all_0_138_138 = e12 % 20.45/5.33 | % 20.45/5.33 | Equations (973) can reduce 1324 to: % 20.45/5.33 | (423) $false % 20.45/5.33 | % 20.45/5.33 |-The branch is then unsatisfiable % 20.45/5.33 |-Branch two: % 20.45/5.33 | (1324) ~ (all_0_138_138 = e12) % 20.45/5.33 | (1017) all_0_138_138 = e11 % 20.45/5.33 | % 20.45/5.33 | Equations (1017) can reduce 316 to: % 20.45/5.33 | (2082) ~ (all_0_142_142 = e11) % 20.45/5.33 | % 20.45/5.33 | Simplifying 2082 yields: % 20.45/5.33 | (1047) ~ (all_0_142_142 = e11) % 20.45/5.33 | % 20.45/5.33 | Equations (1017) can reduce 1324 to: % 20.45/5.33 | (1051) ~ (e12 = e11) % 20.45/5.33 | % 20.45/5.33 | Simplifying 1051 yields: % 20.45/5.33 | (313) ~ (e12 = e11) % 20.45/5.33 | % 20.45/5.33 +-Applying beta-rule and splitting (1260), into two cases. % 20.45/5.33 |-Branch one: % 20.45/5.33 | (1261) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11)) % 20.45/5.33 | % 20.45/5.33 +-Applying beta-rule and splitting (1261), into two cases. % 20.45/5.33 |-Branch one: % 20.45/5.33 | (1262) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 20.45/5.33 | % 20.45/5.33 +-Applying beta-rule and splitting (1262), into two cases. % 20.45/5.33 |-Branch one: % 20.45/5.33 | (1263) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) % 20.45/5.33 | % 20.45/5.33 +-Applying beta-rule and splitting (1263), into two cases. % 20.45/5.33 |-Branch one: % 20.45/5.33 | (1264) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 20.45/5.33 | % 20.45/5.33 +-Applying beta-rule and splitting (1264), into two cases. % 20.45/5.33 |-Branch one: % 20.45/5.33 | (1265) all_0_135_135 = e12 & ~ (all_0_136_136 = e13) % 20.45/5.33 | % 20.45/5.33 | Applying alpha-rule on (1265) yields: % 20.45/5.33 | (1266) all_0_135_135 = e12 % 20.45/5.33 | (1267) ~ (all_0_136_136 = e13) % 20.45/5.33 | % 20.45/5.33 | Combining equations (1266,1030) yields a new equation: % 20.45/5.33 | (1256) e12 = e10 % 20.45/5.33 | % 20.45/5.33 | Simplifying 1256 yields: % 20.45/5.33 | (1004) e12 = e10 % 20.45/5.33 | % 20.45/5.33 | Equations (1004) can reduce 165 to: % 20.45/5.33 | (423) $false % 20.45/5.33 | % 20.45/5.33 |-The branch is then unsatisfiable % 20.45/5.33 |-Branch two: % 20.45/5.34 | (1269) all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 20.45/5.34 | % 20.45/5.34 | Applying alpha-rule on (1269) yields: % 20.45/5.34 | (1050) ~ (all_0_145_145 = e11) % 20.45/5.34 | (999) ~ (all_0_146_146 = e10) % 20.45/5.34 | (973) all_0_138_138 = e12 % 20.45/5.34 | (962) ~ (all_0_144_144 = e12) % 20.45/5.34 | (1274) ~ (all_0_143_143 = e13) % 20.45/5.34 | % 20.45/5.34 | Combining equations (1017,973) yields a new equation: % 20.45/5.34 | (1019) e12 = e11 % 20.45/5.34 | % 20.45/5.34 | Equations (1019) can reduce 313 to: % 20.45/5.34 | (423) $false % 20.45/5.34 | % 20.45/5.34 |-The branch is then unsatisfiable % 20.45/5.34 |-Branch two: % 20.45/5.34 | (1276) all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10) % 20.45/5.34 | % 20.45/5.34 | Applying alpha-rule on (1276) yields: % 20.45/5.34 | (1277) ~ (all_0_138_138 = e10) % 20.45/5.34 | (1060) ~ (all_0_137_137 = e11) % 20.45/5.34 | (1024) all_0_140_140 = e11 % 20.45/5.34 | (1173) ~ (all_0_135_135 = e13) % 20.45/5.34 | (975) ~ (all_0_136_136 = e12) % 20.45/5.34 | % 20.45/5.34 | Equations (980) can reduce 975 to: % 20.45/5.34 | (423) $false % 20.45/5.34 | % 20.45/5.34 |-The branch is then unsatisfiable % 20.45/5.34 |-Branch two: % 20.45/5.34 | (1284) all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 20.45/5.34 | % 20.45/5.34 | Applying alpha-rule on (1284) yields: % 20.45/5.34 | (1050) ~ (all_0_145_145 = e11) % 20.45/5.34 | (999) ~ (all_0_146_146 = e10) % 20.45/5.34 | (1287) ~ (all_0_141_141 = e10) % 20.45/5.34 | (962) ~ (all_0_144_144 = e12) % 20.45/5.34 | (1274) ~ (all_0_143_143 = e13) % 20.45/5.34 | (1043) all_0_142_142 = e11 % 20.45/5.34 | % 20.45/5.34 | Equations (1759) can reduce 1274 to: % 20.45/5.34 | (423) $false % 20.45/5.34 | % 20.45/5.34 |-The branch is then unsatisfiable % 20.45/5.34 |-Branch two: % 20.45/5.34 | (1292) all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11) % 20.45/5.34 | % 20.45/5.34 | Applying alpha-rule on (1292) yields: % 20.45/5.34 | (1242) ~ (all_0_142_142 = e10) % 20.45/5.34 | (1294) ~ (all_0_146_146 = e11) % 20.45/5.34 | (1295) ~ (all_0_140_140 = e12) % 20.45/5.34 | (1296) ~ (all_0_139_139 = e13) % 20.45/5.34 | (1078) all_0_145_145 = e10 % 20.45/5.34 | (1151) ~ (all_0_141_141 = e11) % 20.45/5.34 | % 20.45/5.34 +-Applying beta-rule and splitting (159), into two cases. % 20.45/5.34 |-Branch one: % 20.45/5.34 | (996) all_0_142_142 = e10 % 20.45/5.34 | % 20.45/5.34 | Equations (996) can reduce 1242 to: % 20.45/5.34 | (423) $false % 20.45/5.34 | % 20.45/5.34 |-The branch is then unsatisfiable % 20.45/5.34 |-Branch two: % 20.45/5.34 | (1242) ~ (all_0_142_142 = e10) % 20.45/5.34 | (1243) all_0_142_142 = e12 | all_0_142_142 = e11 % 20.45/5.34 | % 20.45/5.34 +-Applying beta-rule and splitting (1243), into two cases. % 20.45/5.34 |-Branch one: % 20.45/5.34 | (1244) all_0_142_142 = e12 % 20.45/5.34 | % 20.45/5.34 | Equations (1244) can reduce 987 to: % 20.45/5.34 | (423) $false % 20.45/5.34 | % 20.45/5.34 |-The branch is then unsatisfiable % 20.45/5.34 |-Branch two: % 20.45/5.34 | (987) ~ (all_0_142_142 = e12) % 20.45/5.34 | (1043) all_0_142_142 = e11 % 20.45/5.34 | % 20.45/5.34 | Equations (1043) can reduce 1047 to: % 20.45/5.34 | (423) $false % 20.45/5.34 | % 20.45/5.34 |-The branch is then unsatisfiable % 20.45/5.34 |-Branch two: % 20.45/5.34 | (1300) ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 20.45/5.34 | % 20.45/5.34 | Applying alpha-rule on (1300) yields: % 20.45/5.34 | (1274) ~ (all_0_143_143 = e13) % 20.45/5.34 | (962) ~ (all_0_144_144 = e12) % 20.45/5.34 | (1050) ~ (all_0_145_145 = e11) % 20.45/5.34 | (999) ~ (all_0_146_146 = e10) % 20.45/5.34 | % 20.45/5.34 | Equations (1759) can reduce 1274 to: % 20.45/5.34 | (423) $false % 20.45/5.34 | % 20.45/5.34 |-The branch is then unsatisfiable % 20.45/5.34 |-Branch two: % 20.45/5.34 | (975) ~ (all_0_136_136 = e12) % 20.45/5.34 | (983) all_0_140_140 = e12 | all_0_144_144 = e12 % 20.45/5.34 | % 20.45/5.34 +-Applying beta-rule and splitting (983), into two cases. % 20.45/5.34 |-Branch one: % 20.45/5.34 | (984) all_0_140_140 = e12 % 20.45/5.34 | % 20.45/5.34 | Equations (984) can reduce 1295 to: % 20.45/5.34 | (423) $false % 20.45/5.34 | % 20.45/5.34 |-The branch is then unsatisfiable % 20.45/5.34 |-Branch two: % 20.45/5.34 | (1295) ~ (all_0_140_140 = e12) % 20.45/5.34 | (1054) all_0_144_144 = e12 % 20.45/5.34 | % 20.45/5.34 | Equations (1054) can reduce 962 to: % 20.45/5.34 | (423) $false % 20.45/5.34 | % 20.45/5.34 |-The branch is then unsatisfiable % 20.45/5.34 |-Branch two: % 20.45/5.34 | (985) ~ (all_0_139_139 = e12) % 20.45/5.34 | (1039) all_0_139_139 = e13 % 20.45/5.34 | % 20.45/5.34 | Equations (1039) can reduce 1296 to: % 20.45/5.34 | (423) $false % 20.45/5.34 | % 20.45/5.34 |-The branch is then unsatisfiable % 20.45/5.34 |-Branch two: % 20.45/5.34 | (1224) ~ (all_0_135_135 = e10) % 20.45/5.34 | (1225) all_0_139_139 = e10 | all_0_143_143 = e10 % 20.45/5.34 | % 20.45/5.34 +-Applying beta-rule and splitting (309), into two cases. % 20.45/5.34 |-Branch one: % 20.45/5.34 | (1030) all_0_135_135 = e10 % 20.45/5.34 | % 20.45/5.34 | Equations (1030) can reduce 1224 to: % 20.45/5.34 | (423) $false % 20.45/5.34 | % 20.45/5.34 |-The branch is then unsatisfiable % 20.45/5.34 |-Branch two: % 20.45/5.34 | (1224) ~ (all_0_135_135 = e10) % 20.45/5.34 | (1535) all_0_135_135 = e13 | all_0_135_135 = e12 % 20.45/5.34 | % 20.45/5.34 +-Applying beta-rule and splitting (1535), into two cases. % 20.45/5.34 |-Branch one: % 20.45/5.34 | (1266) all_0_135_135 = e12 % 20.45/5.34 | % 20.45/5.34 | Equations (1266) can reduce 279 to: % 20.45/5.34 | (1725) ~ (all_0_136_136 = e12) % 20.45/5.34 | % 20.45/5.34 | Simplifying 1725 yields: % 20.45/5.34 | (975) ~ (all_0_136_136 = e12) % 20.45/5.34 | % 20.45/5.34 | Equations (1266) can reduce 29 to: % 20.45/5.34 | (1340) ~ (all_0_137_137 = e12) % 20.45/5.34 | % 20.45/5.34 | Simplifying 1340 yields: % 20.45/5.34 | (255) ~ (all_0_137_137 = e12) % 20.45/5.34 | % 20.45/5.34 | Equations (1266) can reduce 262 to: % 20.45/5.34 | (1342) ~ (all_0_138_138 = e12) % 20.45/5.34 | % 20.45/5.34 | Simplifying 1342 yields: % 20.45/5.34 | (1324) ~ (all_0_138_138 = e12) % 20.45/5.34 | % 20.45/5.34 +-Applying beta-rule and splitting (1225), into two cases. % 20.45/5.34 |-Branch one: % 20.45/5.34 | (1013) all_0_139_139 = e10 % 20.45/5.34 | % 20.45/5.34 | Equations (1013) can reduce 166 to: % 20.45/5.34 | (2165) ~ (all_0_140_140 = e10) % 20.45/5.34 | % 20.45/5.34 | Simplifying 2165 yields: % 20.45/5.34 | (222) ~ (all_0_140_140 = e10) % 20.45/5.34 | % 20.45/5.34 | Equations (1013) can reduce 296 to: % 20.45/5.34 | (2167) ~ (all_0_141_141 = e10) % 20.45/5.34 | % 20.45/5.34 | Simplifying 2167 yields: % 20.45/5.34 | (1287) ~ (all_0_141_141 = e10) % 20.45/5.34 | % 20.45/5.34 | Equations (1013) can reduce 320 to: % 20.45/5.34 | (2169) ~ (all_0_142_142 = e10) % 20.45/5.34 | % 20.45/5.34 | Simplifying 2169 yields: % 20.45/5.34 | (1242) ~ (all_0_142_142 = e10) % 20.45/5.34 | % 20.45/5.34 | Equations (1013) can reduce 1296 to: % 20.45/5.34 | (1166) ~ (e13 = e10) % 20.45/5.34 | % 20.45/5.34 | Simplifying 1166 yields: % 20.45/5.34 | (197) ~ (e13 = e10) % 20.45/5.34 | % 20.45/5.34 | Equations (1013) can reduce 152 to: % 20.45/5.34 | (1033) ~ (e11 = e10) % 20.45/5.34 | % 20.45/5.34 | Simplifying 1033 yields: % 20.45/5.34 | (297) ~ (e11 = e10) % 20.45/5.34 | % 20.45/5.34 +-Applying beta-rule and splitting (159), into two cases. % 20.45/5.34 |-Branch one: % 20.45/5.34 | (996) all_0_142_142 = e10 % 20.45/5.34 | % 20.45/5.34 | Equations (996) can reduce 1242 to: % 20.45/5.34 | (423) $false % 20.45/5.34 | % 20.45/5.34 |-The branch is then unsatisfiable % 20.45/5.34 |-Branch two: % 20.45/5.34 | (1242) ~ (all_0_142_142 = e10) % 20.45/5.34 | (1243) all_0_142_142 = e12 | all_0_142_142 = e11 % 20.45/5.34 | % 20.45/5.34 +-Applying beta-rule and splitting (15), into two cases. % 20.45/5.34 |-Branch one: % 20.45/5.34 | (980) all_0_136_136 = e12 % 20.45/5.34 | % 20.45/5.34 | Equations (980) can reduce 975 to: % 20.45/5.34 | (423) $false % 20.45/5.34 | % 20.45/5.34 |-The branch is then unsatisfiable % 20.45/5.34 |-Branch two: % 20.45/5.34 | (975) ~ (all_0_136_136 = e12) % 20.45/5.34 | (2182) all_0_136_136 = e13 | all_0_136_136 = e11 % 20.45/5.34 | % 20.45/5.34 +-Applying beta-rule and splitting (214), into two cases. % 20.45/5.34 |-Branch one: % 20.45/5.34 | (1078) all_0_145_145 = e10 % 20.45/5.34 | % 20.45/5.34 | Equations (1078) can reduce 305 to: % 20.45/5.34 | (1287) ~ (all_0_141_141 = e10) % 20.45/5.34 | % 20.45/5.34 | Equations (1078) can reduce 328 to: % 20.45/5.34 | (998) ~ (all_0_146_146 = e10) % 20.45/5.34 | % 20.45/5.34 | Simplifying 998 yields: % 20.45/5.34 | (999) ~ (all_0_146_146 = e10) % 20.45/5.34 | % 20.45/5.34 +-Applying beta-rule and splitting (210), into two cases. % 20.45/5.34 |-Branch one: % 20.45/5.34 | (1239) all_0_138_138 = e10 % 20.45/5.34 | % 20.45/5.34 | Equations (1239) can reduce 319 to: % 20.45/5.34 | (32) ~ (all_0_136_136 = e10) % 20.45/5.34 | % 20.45/5.34 | Equations (1239) can reduce 132 to: % 20.45/5.34 | (1238) ~ (all_0_137_137 = e10) % 20.45/5.34 | % 20.45/5.34 | Equations (1239) can reduce 316 to: % 20.45/5.34 | (2169) ~ (all_0_142_142 = e10) % 20.45/5.34 | % 20.45/5.34 | Simplifying 2169 yields: % 20.45/5.34 | (1242) ~ (all_0_142_142 = e10) % 20.45/5.34 | % 20.45/5.34 | Equations (1239) can reduce 50 to: % 20.45/5.34 | (998) ~ (all_0_146_146 = e10) % 20.45/5.34 | % 20.45/5.34 | Simplifying 998 yields: % 20.45/5.34 | (999) ~ (all_0_146_146 = e10) % 20.45/5.34 | % 20.45/5.34 | Equations (1239) can reduce 102 to: % 20.45/5.34 | (1166) ~ (e13 = e10) % 20.45/5.34 | % 20.45/5.34 | Simplifying 1166 yields: % 20.45/5.34 | (197) ~ (e13 = e10) % 20.45/5.34 | % 20.45/5.34 | From (1239) and (38) follows: % 20.45/5.35 | (1592) op1(e10, e12) = all_0_120_120 % 20.45/5.35 | % 20.45/5.35 | Instantiating formula (312) with e10, e12, all_0_120_120, all_0_144_144 and discharging atoms op1(e10, e12) = all_0_120_120, op1(e10, e12) = all_0_144_144, yields: % 20.45/5.35 | (2197) all_0_120_120 = all_0_144_144 % 20.45/5.35 | % 20.45/5.35 +-Applying beta-rule and splitting (111), into two cases. % 20.45/5.35 |-Branch one: % 20.45/5.35 | (1395) all_0_141_141 = e10 % 20.45/5.35 | % 20.45/5.35 | Equations (1395) can reduce 1287 to: % 20.45/5.35 | (423) $false % 20.45/5.35 | % 20.45/5.35 |-The branch is then unsatisfiable % 20.45/5.35 |-Branch two: % 20.45/5.35 | (1287) ~ (all_0_141_141 = e10) % 20.45/5.35 | (2201) all_0_141_141 = e13 | all_0_141_141 = e11 % 20.45/5.35 | % 20.45/5.35 +-Applying beta-rule and splitting (224), into two cases. % 20.45/5.35 |-Branch one: % 20.45/5.35 | (1009) all_0_146_146 = e10 % 20.45/5.35 | % 20.45/5.35 | Equations (1009) can reduce 999 to: % 20.45/5.35 | (423) $false % 20.45/5.35 | % 20.45/5.35 |-The branch is then unsatisfiable % 20.45/5.35 |-Branch two: % 20.45/5.35 | (999) ~ (all_0_146_146 = e10) % 20.45/5.35 | (1012) all_0_146_146 = e12 | all_0_146_146 = e11 % 20.45/5.35 | % 20.45/5.35 +-Applying beta-rule and splitting (235), into two cases. % 20.45/5.35 |-Branch one: % 20.45/5.35 | (1017) all_0_138_138 = e11 % 20.45/5.35 | % 20.45/5.35 | Combining equations (1239,1017) yields a new equation: % 20.45/5.35 | (1045) e11 = e10 % 20.45/5.35 | % 20.45/5.35 | Equations (1045) can reduce 297 to: % 20.45/5.35 | (423) $false % 20.45/5.35 | % 20.45/5.35 |-The branch is then unsatisfiable % 20.45/5.35 |-Branch two: % 20.45/5.35 | (1021) ~ (all_0_138_138 = e11) % 20.45/5.35 | (1022) all_0_142_142 = e11 | all_0_146_146 = e11 % 20.45/5.35 | % 20.45/5.35 +-Applying beta-rule and splitting (263), into two cases. % 20.45/5.35 |-Branch one: % 20.45/5.35 | (980) all_0_136_136 = e12 % 20.45/5.35 | % 20.45/5.35 | Equations (980) can reduce 975 to: % 20.45/5.35 | (423) $false % 20.45/5.35 | % 20.45/5.35 |-The branch is then unsatisfiable % 20.45/5.35 |-Branch two: % 20.45/5.35 | (975) ~ (all_0_136_136 = e12) % 20.45/5.35 | (983) all_0_140_140 = e12 | all_0_144_144 = e12 % 20.45/5.35 | % 20.45/5.35 +-Applying beta-rule and splitting (25), into two cases. % 20.45/5.35 |-Branch one: % 20.45/5.35 | (1230) all_0_137_137 = e10 % 20.45/5.35 | % 20.45/5.35 | Equations (1230) can reduce 1238 to: % 20.45/5.35 | (423) $false % 20.45/5.35 | % 20.45/5.35 |-The branch is then unsatisfiable % 20.45/5.35 |-Branch two: % 20.45/5.35 | (1238) ~ (all_0_137_137 = e10) % 20.45/5.35 | (1864) all_0_137_137 = e13 | all_0_137_137 = e11 % 20.45/5.35 | % 20.45/5.35 +-Applying beta-rule and splitting (334), into two cases. % 20.45/5.35 |-Branch one: % 20.45/5.35 | (1054) all_0_144_144 = e12 % 20.45/5.35 | % 20.45/5.35 | Combining equations (1054,2197) yields a new equation: % 20.45/5.35 | (2220) all_0_120_120 = e12 % 20.45/5.35 | % 20.45/5.35 | Equations (1054) can reduce 94 to: % 20.45/5.35 | (965) ~ (all_0_146_146 = e12) % 20.45/5.35 | % 20.45/5.35 | Simplifying 965 yields: % 20.45/5.35 | (966) ~ (all_0_146_146 = e12) % 20.45/5.35 | % 20.45/5.35 +-Applying beta-rule and splitting (1012), into two cases. % 20.45/5.35 |-Branch one: % 20.45/5.35 | (1599) all_0_146_146 = e12 % 20.45/5.35 | % 20.45/5.35 | Equations (1599) can reduce 966 to: % 20.45/5.35 | (423) $false % 20.45/5.35 | % 20.45/5.35 |-The branch is then unsatisfiable % 20.45/5.35 |-Branch two: % 20.45/5.35 | (966) ~ (all_0_146_146 = e12) % 20.45/5.35 | (1048) all_0_146_146 = e11 % 20.45/5.35 | % 20.45/5.35 | Equations (1048) can reduce 115 to: % 20.45/5.35 | (1047) ~ (all_0_142_142 = e11) % 20.45/5.35 | % 20.45/5.35 | From (1048) and (24) follows: % 20.45/5.35 | (1605) op1(e11, e10) = all_0_122_122 % 20.45/5.35 | % 20.45/5.35 +-Applying beta-rule and splitting (1243), into two cases. % 20.45/5.35 |-Branch one: % 20.45/5.35 | (1244) all_0_142_142 = e12 % 20.45/5.35 | % 20.45/5.35 | Equations (1244) can reduce 11 to: % 20.45/5.35 | (1295) ~ (all_0_140_140 = e12) % 20.45/5.35 | % 20.45/5.35 | Equations (1244) can reduce 117 to: % 20.45/5.35 | (99) ~ (all_0_141_141 = e12) % 20.45/5.35 | % 20.45/5.35 | Equations (1244) can reduce 247 to: % 20.45/5.35 | (1849) ~ (e13 = e12) % 20.45/5.35 | % 20.45/5.35 | Simplifying 1849 yields: % 20.45/5.35 | (292) ~ (e13 = e12) % 20.45/5.35 | % 20.45/5.35 | Equations (1244) can reduce 1047 to: % 20.45/5.35 | (313) ~ (e12 = e11) % 20.45/5.35 | % 20.45/5.35 | Equations (1244) can reduce 1242 to: % 20.45/5.35 | (165) ~ (e12 = e10) % 20.45/5.35 | % 20.45/5.35 | From (1244) and (269) follows: % 20.45/5.35 | (1336) op1(e12, e11) = all_0_121_121 % 20.45/5.35 | % 20.45/5.35 | From (1244) and (245) follows: % 20.45/5.35 | (1337) op1(e11, e10) = e12 % 20.45/5.35 | % 20.45/5.35 +-Applying beta-rule and splitting (335), into two cases. % 20.45/5.35 |-Branch one: % 20.45/5.35 | (1003) all_0_143_143 = e10 % 20.45/5.35 | % 20.45/5.35 | Combining equations (1759,1003) yields a new equation: % 20.45/5.35 | (1390) e13 = e10 % 20.45/5.35 | % 20.45/5.35 | Simplifying 1390 yields: % 20.45/5.35 | (1171) e13 = e10 % 20.45/5.35 | % 20.45/5.35 | Equations (1171) can reduce 197 to: % 20.45/5.35 | (423) $false % 20.45/5.35 | % 20.45/5.35 |-The branch is then unsatisfiable % 20.45/5.35 |-Branch two: % 20.45/5.35 | (1006) ~ (all_0_143_143 = e10) % 20.45/5.35 | (1260) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11)) | ( ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 20.45/5.35 | % 20.45/5.35 +-Applying beta-rule and splitting (1260), into two cases. % 20.45/5.35 |-Branch one: % 20.45/5.35 | (1261) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11)) % 20.45/5.35 | % 20.45/5.35 +-Applying beta-rule and splitting (1261), into two cases. % 20.45/5.35 |-Branch one: % 20.45/5.35 | (1262) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 20.45/5.35 | % 20.45/5.35 +-Applying beta-rule and splitting (1262), into two cases. % 20.45/5.35 |-Branch one: % 20.45/5.35 | (1263) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) % 20.45/5.35 | % 20.45/5.35 +-Applying beta-rule and splitting (1263), into two cases. % 20.45/5.35 |-Branch one: % 20.45/5.35 | (1264) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 20.45/5.35 | % 20.45/5.35 +-Applying beta-rule and splitting (1264), into two cases. % 20.45/5.35 |-Branch one: % 20.45/5.35 | (1265) all_0_135_135 = e12 & ~ (all_0_136_136 = e13) % 20.45/5.35 | % 20.45/5.35 | Applying alpha-rule on (1265) yields: % 20.45/5.35 | (1266) all_0_135_135 = e12 % 20.45/5.35 | (1267) ~ (all_0_136_136 = e13) % 20.45/5.35 | % 20.45/5.35 +-Applying beta-rule and splitting (8), into two cases. % 20.45/5.35 |-Branch one: % 20.45/5.35 | (1170) all_0_135_135 = e13 % 20.45/5.35 | % 20.45/5.35 | Combining equations (1170,1266) yields a new equation: % 20.45/5.35 | (2252) e13 = e12 % 20.45/5.35 | % 20.45/5.35 | Simplifying 2252 yields: % 20.45/5.35 | (1382) e13 = e12 % 20.45/5.35 | % 20.45/5.35 | Equations (1382) can reduce 292 to: % 20.45/5.35 | (423) $false % 20.45/5.35 | % 20.45/5.35 |-The branch is then unsatisfiable % 20.45/5.35 |-Branch two: % 20.45/5.35 | (1173) ~ (all_0_135_135 = e13) % 20.45/5.35 | (1174) all_0_136_136 = e13 | all_0_137_137 = e13 % 20.45/5.35 | % 20.45/5.35 +-Applying beta-rule and splitting (2182), into two cases. % 20.45/5.35 |-Branch one: % 20.45/5.35 | (1058) all_0_136_136 = e11 % 20.45/5.35 | % 20.45/5.35 | Equations (1058) can reduce 1267 to: % 20.45/5.35 | (1178) ~ (e13 = e11) % 20.45/5.35 | % 20.45/5.35 | Simplifying 1178 yields: % 20.45/5.35 | (349) ~ (e13 = e11) % 20.45/5.35 | % 20.45/5.35 +-Applying beta-rule and splitting (135), into two cases. % 20.45/5.35 |-Branch one: % 20.45/5.35 | (1381) all_0_136_136 = e13 % 20.45/5.35 | % 20.45/5.35 | Combining equations (1058,1381) yields a new equation: % 20.45/5.35 | (1181) e13 = e11 % 20.45/5.35 | % 20.45/5.35 | Equations (1181) can reduce 349 to: % 20.45/5.35 | (423) $false % 20.45/5.35 | % 20.45/5.35 |-The branch is then unsatisfiable % 20.45/5.35 |-Branch two: % 20.45/5.35 | (1267) ~ (all_0_136_136 = e13) % 20.45/5.35 | (1860) all_0_140_140 = e13 | all_0_144_144 = e13 % 20.45/5.35 | % 20.45/5.35 | Equations (1058) can reduce 1267 to: % 20.45/5.35 | (1178) ~ (e13 = e11) % 20.45/5.35 | % 20.45/5.35 | Simplifying 1178 yields: % 20.45/5.35 | (349) ~ (e13 = e11) % 20.45/5.35 | % 20.45/5.35 +-Applying beta-rule and splitting (203), into two cases. % 20.45/5.35 |-Branch one: % 20.45/5.35 | (984) all_0_140_140 = e12 % 20.45/5.35 | % 20.45/5.35 | Equations (984) can reduce 1295 to: % 20.45/5.35 | (423) $false % 20.45/5.35 | % 20.45/5.35 |-The branch is then unsatisfiable % 20.45/5.35 |-Branch two: % 20.45/5.35 | (1295) ~ (all_0_140_140 = e12) % 20.45/5.35 | (1380) all_0_140_140 = e13 | all_0_140_140 = e11 % 20.45/5.35 | % 20.45/5.35 +-Applying beta-rule and splitting (1174), into two cases. % 20.45/5.35 |-Branch one: % 20.45/5.35 | (1381) all_0_136_136 = e13 % 20.45/5.35 | % 20.45/5.35 | Combining equations (1058,1381) yields a new equation: % 20.45/5.35 | (1181) e13 = e11 % 20.45/5.35 | % 20.45/5.35 | Equations (1181) can reduce 349 to: % 20.45/5.35 | (423) $false % 20.45/5.35 | % 20.45/5.35 |-The branch is then unsatisfiable % 20.45/5.35 |-Branch two: % 20.45/5.35 | (1267) ~ (all_0_136_136 = e13) % 20.45/5.35 | (1076) all_0_137_137 = e13 % 20.45/5.35 | % 20.45/5.35 | Equations (1076) can reduce 161 to: % 20.45/5.35 | (1040) ~ (all_0_141_141 = e13) % 20.45/5.35 | % 20.45/5.35 | Simplifying 1040 yields: % 20.45/5.35 | (1041) ~ (all_0_141_141 = e13) % 20.45/5.35 | % 20.45/5.35 | Equations (1076) can reduce 255 to: % 20.45/5.35 | (292) ~ (e13 = e12) % 20.45/5.35 | % 20.45/5.35 | From (1076) and (283) follows: % 20.45/5.35 | (2279) op1(e12, e11) = e13 % 20.45/5.35 | % 20.45/5.35 +-Applying beta-rule and splitting (2201), into two cases. % 20.45/5.35 |-Branch one: % 20.45/5.35 | (1082) all_0_141_141 = e11 % 20.45/5.35 | % 20.45/5.35 | Equations (1082) can reduce 99 to: % 20.45/5.35 | (1051) ~ (e12 = e11) % 20.45/5.35 | % 20.45/5.35 | Simplifying 1051 yields: % 20.45/5.35 | (313) ~ (e12 = e11) % 20.45/5.35 | % 20.45/5.35 +-Applying beta-rule and splitting (1860), into two cases. % 20.45/5.35 |-Branch one: % 20.45/5.35 | (1871) all_0_140_140 = e13 % 20.45/5.35 | % 20.45/5.35 | Equations (1871) can reduce 1295 to: % 20.45/5.35 | (292) ~ (e13 = e12) % 20.45/5.35 | % 20.45/5.35 | Instantiating formula (312) with e12, e11, e13, all_0_121_121 and discharging atoms op1(e12, e11) = all_0_121_121, op1(e12, e11) = e13, yields: % 20.45/5.35 | (2285) all_0_121_121 = e13 % 20.45/5.35 | % 20.45/5.35 | Instantiating formula (312) with e11, e10, e12, all_0_122_122 and discharging atoms op1(e11, e10) = all_0_122_122, op1(e11, e10) = e12, yields: % 20.45/5.35 | (1624) all_0_122_122 = e12 % 20.45/5.35 | % 20.45/5.35 +-Applying beta-rule and splitting (110), into two cases. % 20.45/5.35 |-Branch one: % 20.45/5.35 | (1626) all_0_120_120 = all_0_138_138 % 20.45/5.35 | % 20.45/5.35 | Combining equations (1626,2220) yields a new equation: % 20.45/5.35 | (2288) all_0_138_138 = e12 % 20.45/5.35 | % 20.45/5.35 | Simplifying 2288 yields: % 20.45/5.35 | (973) all_0_138_138 = e12 % 20.45/5.35 | % 20.45/5.35 | Combining equations (973,1239) yields a new equation: % 20.45/5.35 | (1256) e12 = e10 % 20.45/5.35 | % 20.45/5.35 | Simplifying 1256 yields: % 20.45/5.35 | (1004) e12 = e10 % 20.45/5.35 | % 20.45/5.35 | Equations (1004) can reduce 165 to: % 20.45/5.35 | (423) $false % 20.45/5.35 | % 20.45/5.35 |-The branch is then unsatisfiable % 20.45/5.35 |-Branch two: % 20.45/5.35 | (1631) ~ (all_0_120_120 = all_0_138_138) % 20.45/5.35 | (1632) all_0_121_121 = all_0_142_142 | all_0_122_122 = all_0_146_146 % 20.45/5.35 | % 20.45/5.35 +-Applying beta-rule and splitting (1632), into two cases. % 20.45/5.35 |-Branch one: % 20.45/5.35 | (1633) all_0_121_121 = all_0_142_142 % 20.45/5.35 | % 20.45/5.35 | Combining equations (2285,1633) yields a new equation: % 20.45/5.35 | (2296) all_0_142_142 = e13 % 20.45/5.35 | % 20.45/5.36 | Combining equations (1244,2296) yields a new equation: % 20.45/5.36 | (1382) e13 = e12 % 20.45/5.36 | % 20.45/5.36 | Equations (1382) can reduce 292 to: % 20.45/5.36 | (423) $false % 20.45/5.36 | % 20.45/5.36 |-The branch is then unsatisfiable % 20.45/5.36 |-Branch two: % 20.45/5.36 | (1639) ~ (all_0_121_121 = all_0_142_142) % 20.45/5.36 | (1640) all_0_122_122 = all_0_146_146 % 20.45/5.36 | % 20.45/5.36 | Combining equations (1624,1640) yields a new equation: % 20.45/5.36 | (1599) all_0_146_146 = e12 % 20.45/5.36 | % 20.45/5.36 | Combining equations (1599,1048) yields a new equation: % 20.45/5.36 | (1018) e12 = e11 % 20.45/5.36 | % 20.45/5.36 | Simplifying 1018 yields: % 20.45/5.36 | (1019) e12 = e11 % 20.45/5.36 | % 20.45/5.36 | Equations (1019) can reduce 313 to: % 20.45/5.36 | (423) $false % 20.45/5.36 | % 20.45/5.36 |-The branch is then unsatisfiable % 20.45/5.36 |-Branch two: % 20.45/5.36 | (1935) ~ (all_0_140_140 = e13) % 20.45/5.36 | (1072) all_0_144_144 = e13 % 20.45/5.36 | % 20.45/5.36 | Combining equations (1072,1054) yields a new equation: % 20.45/5.36 | (2252) e13 = e12 % 20.45/5.36 | % 20.45/5.36 | Simplifying 2252 yields: % 20.45/5.36 | (1382) e13 = e12 % 20.45/5.36 | % 20.45/5.36 | Equations (1382) can reduce 292 to: % 20.45/5.36 | (423) $false % 20.45/5.36 | % 20.45/5.36 |-The branch is then unsatisfiable % 20.45/5.36 |-Branch two: % 20.45/5.36 | (1151) ~ (all_0_141_141 = e11) % 20.45/5.36 | (1180) all_0_141_141 = e13 % 20.45/5.36 | % 20.45/5.36 | Equations (1180) can reduce 1041 to: % 20.45/5.36 | (423) $false % 20.45/5.36 | % 20.45/5.36 |-The branch is then unsatisfiable % 20.45/5.36 |-Branch two: % 20.45/5.36 | (1197) ~ (all_0_136_136 = e11) % 20.45/5.36 | (1381) all_0_136_136 = e13 % 20.45/5.36 | % 20.45/5.36 | Equations (1381) can reduce 1267 to: % 20.45/5.36 | (423) $false % 20.45/5.36 | % 20.45/5.36 |-The branch is then unsatisfiable % 20.45/5.36 |-Branch two: % 20.45/5.36 | (1269) all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 20.45/5.36 | % 20.45/5.36 | Applying alpha-rule on (1269) yields: % 20.45/5.36 | (1050) ~ (all_0_145_145 = e11) % 20.45/5.36 | (999) ~ (all_0_146_146 = e10) % 20.45/5.36 | (973) all_0_138_138 = e12 % 20.45/5.36 | (962) ~ (all_0_144_144 = e12) % 20.45/5.36 | (1274) ~ (all_0_143_143 = e13) % 20.45/5.36 | % 20.45/5.36 | Combining equations (1239,973) yields a new equation: % 20.45/5.36 | (1004) e12 = e10 % 20.45/5.36 | % 20.45/5.36 | Equations (1004) can reduce 165 to: % 20.45/5.36 | (423) $false % 20.45/5.36 | % 20.45/5.36 |-The branch is then unsatisfiable % 20.45/5.36 |-Branch two: % 20.45/5.36 | (1276) all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10) % 20.45/5.36 | % 20.45/5.36 | Applying alpha-rule on (1276) yields: % 20.45/5.36 | (1277) ~ (all_0_138_138 = e10) % 20.45/5.36 | (1060) ~ (all_0_137_137 = e11) % 20.45/5.36 | (1024) all_0_140_140 = e11 % 20.45/5.36 | (1173) ~ (all_0_135_135 = e13) % 20.45/5.36 | (975) ~ (all_0_136_136 = e12) % 20.45/5.36 | % 20.45/5.36 | Equations (1239) can reduce 1277 to: % 20.45/5.36 | (423) $false % 20.45/5.36 | % 20.45/5.36 |-The branch is then unsatisfiable % 20.45/5.36 |-Branch two: % 20.45/5.36 | (1284) all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 20.45/5.36 | % 20.45/5.36 | Applying alpha-rule on (1284) yields: % 20.45/5.36 | (1050) ~ (all_0_145_145 = e11) % 20.45/5.36 | (999) ~ (all_0_146_146 = e10) % 20.45/5.36 | (1287) ~ (all_0_141_141 = e10) % 20.45/5.36 | (962) ~ (all_0_144_144 = e12) % 20.45/5.36 | (1274) ~ (all_0_143_143 = e13) % 20.45/5.36 | (1043) all_0_142_142 = e11 % 20.45/5.36 | % 20.45/5.36 | Combining equations (1244,1043) yields a new equation: % 20.45/5.36 | (1018) e12 = e11 % 20.45/5.36 | % 20.45/5.36 | Simplifying 1018 yields: % 20.45/5.36 | (1019) e12 = e11 % 20.45/5.36 | % 20.45/5.36 | Equations (1019) can reduce 313 to: % 20.45/5.36 | (423) $false % 20.45/5.36 | % 20.45/5.36 |-The branch is then unsatisfiable % 20.45/5.36 |-Branch two: % 20.45/5.36 | (1292) all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11) % 20.45/5.36 | % 20.45/5.36 | Applying alpha-rule on (1292) yields: % 20.45/5.36 | (1242) ~ (all_0_142_142 = e10) % 20.45/5.36 | (1294) ~ (all_0_146_146 = e11) % 20.45/5.36 | (1295) ~ (all_0_140_140 = e12) % 20.45/5.36 | (1296) ~ (all_0_139_139 = e13) % 20.45/5.36 | (1078) all_0_145_145 = e10 % 20.45/5.36 | (1151) ~ (all_0_141_141 = e11) % 20.45/5.36 | % 20.45/5.36 | Equations (1048) can reduce 1294 to: % 20.45/5.36 | (423) $false % 20.45/5.36 | % 20.45/5.36 |-The branch is then unsatisfiable % 20.45/5.36 |-Branch two: % 20.45/5.36 | (1300) ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 20.45/5.36 | % 20.45/5.36 | Applying alpha-rule on (1300) yields: % 20.45/5.36 | (1274) ~ (all_0_143_143 = e13) % 20.45/5.36 | (962) ~ (all_0_144_144 = e12) % 20.45/5.36 | (1050) ~ (all_0_145_145 = e11) % 20.45/5.36 | (999) ~ (all_0_146_146 = e10) % 20.45/5.36 | % 20.45/5.36 | Equations (1054) can reduce 962 to: % 20.45/5.36 | (423) $false % 20.45/5.36 | % 20.45/5.36 |-The branch is then unsatisfiable % 20.45/5.36 |-Branch two: % 20.45/5.36 | (987) ~ (all_0_142_142 = e12) % 20.45/5.36 | (1043) all_0_142_142 = e11 % 20.45/5.36 | % 20.45/5.36 | Equations (1043) can reduce 1047 to: % 20.45/5.36 | (423) $false % 20.45/5.36 | % 20.45/5.36 |-The branch is then unsatisfiable % 20.45/5.36 |-Branch two: % 20.45/5.36 | (962) ~ (all_0_144_144 = e12) % 20.45/5.36 | (1057) all_0_144_144 = e13 | all_0_144_144 = e11 % 20.45/5.36 | % 20.45/5.36 +-Applying beta-rule and splitting (1716), into two cases. % 20.45/5.36 |-Branch one: % 20.45/5.36 | (1054) all_0_144_144 = e12 % 20.45/5.36 | % 20.45/5.36 | Equations (1054) can reduce 962 to: % 20.45/5.36 | (423) $false % 20.45/5.36 | % 20.45/5.36 |-The branch is then unsatisfiable % 20.45/5.36 |-Branch two: % 20.45/5.36 | (962) ~ (all_0_144_144 = e12) % 20.45/5.36 | (1599) all_0_146_146 = e12 % 20.45/5.36 | % 20.45/5.36 | Equations (1599) can reduce 94 to: % 20.45/5.36 | (962) ~ (all_0_144_144 = e12) % 20.45/5.36 | % 20.45/5.36 +-Applying beta-rule and splitting (983), into two cases. % 20.45/5.36 |-Branch one: % 20.45/5.36 | (984) all_0_140_140 = e12 % 20.45/5.36 | % 20.45/5.36 | Equations (984) can reduce 266 to: % 20.45/5.36 | (975) ~ (all_0_136_136 = e12) % 20.45/5.36 | % 20.45/5.36 | Equations (984) can reduce 11 to: % 20.45/5.36 | (986) ~ (all_0_142_142 = e12) % 20.45/5.36 | % 20.45/5.36 | Simplifying 986 yields: % 20.45/5.36 | (987) ~ (all_0_142_142 = e12) % 20.45/5.36 | % 20.45/5.36 | Equations (984) can reduce 48 to: % 20.45/5.36 | (961) ~ (all_0_144_144 = e12) % 20.45/5.36 | % 20.45/5.36 | Simplifying 961 yields: % 20.45/5.36 | (962) ~ (all_0_144_144 = e12) % 20.45/5.36 | % 20.45/5.36 | Equations (984) can reduce 222 to: % 20.45/5.36 | (165) ~ (e12 = e10) % 20.45/5.36 | % 20.45/5.36 +-Applying beta-rule and splitting (163), into two cases. % 20.45/5.36 |-Branch one: % 20.45/5.36 | (1069) all_0_144_144 = e11 % 20.45/5.36 | % 20.45/5.36 | Equations (1069) can reduce 962 to: % 20.45/5.36 | (1051) ~ (e12 = e11) % 20.45/5.36 | % 20.45/5.36 | Simplifying 1051 yields: % 20.45/5.36 | (313) ~ (e12 = e11) % 20.45/5.36 | % 20.45/5.36 +-Applying beta-rule and splitting (135), into two cases. % 20.45/5.36 |-Branch one: % 20.45/5.36 | (1381) all_0_136_136 = e13 % 20.45/5.36 | % 20.45/5.36 | Equations (1381) can reduce 220 to: % 20.45/5.36 | (1540) ~ (all_0_137_137 = e13) % 20.45/5.36 | % 20.45/5.36 | Simplifying 1540 yields: % 20.45/5.36 | (1163) ~ (all_0_137_137 = e13) % 20.45/5.36 | % 20.45/5.36 | Equations (1381) can reduce 32 to: % 20.45/5.36 | (197) ~ (e13 = e10) % 20.45/5.36 | % 20.45/5.36 +-Applying beta-rule and splitting (56), into two cases. % 20.45/5.36 |-Branch one: % 20.45/5.36 | (1076) all_0_137_137 = e13 % 20.45/5.36 | % 20.45/5.36 | Equations (1076) can reduce 1163 to: % 20.45/5.36 | (423) $false % 20.45/5.36 | % 20.45/5.36 |-The branch is then unsatisfiable % 20.45/5.36 |-Branch two: % 20.45/5.36 | (1163) ~ (all_0_137_137 = e13) % 20.45/5.36 | (1164) all_0_141_141 = e13 | all_0_145_145 = e13 % 20.45/5.36 | % 20.45/5.36 +-Applying beta-rule and splitting (244), into two cases. % 20.45/5.36 |-Branch one: % 20.45/5.36 | (1039) all_0_139_139 = e13 % 20.45/5.36 | % 20.45/5.36 | Combining equations (1013,1039) yields a new equation: % 20.45/5.36 | (1171) e13 = e10 % 20.45/5.36 | % 20.45/5.36 | Equations (1171) can reduce 197 to: % 20.45/5.36 | (423) $false % 20.45/5.36 | % 20.45/5.36 |-The branch is then unsatisfiable % 20.45/5.36 |-Branch two: % 20.45/5.36 | (1296) ~ (all_0_139_139 = e13) % 20.45/5.36 | (2387) all_0_140_140 = e13 | all_0_141_141 = e13 % 20.45/5.36 | % 20.45/5.36 | Equations (1013) can reduce 1296 to: % 20.45/5.36 | (1166) ~ (e13 = e10) % 20.45/5.36 | % 20.45/5.36 | Simplifying 1166 yields: % 20.45/5.36 | (197) ~ (e13 = e10) % 20.45/5.36 | % 20.45/5.36 +-Applying beta-rule and splitting (1164), into two cases. % 20.45/5.36 |-Branch one: % 20.45/5.36 | (1180) all_0_141_141 = e13 % 20.45/5.36 | % 20.45/5.36 | Equations (1180) can reduce 1287 to: % 20.45/5.36 | (197) ~ (e13 = e10) % 20.45/5.36 | % 20.45/5.36 +-Applying beta-rule and splitting (1243), into two cases. % 20.45/5.36 |-Branch one: % 20.45/5.36 | (1244) all_0_142_142 = e12 % 20.45/5.36 | % 20.45/5.36 | Equations (1244) can reduce 987 to: % 20.45/5.36 | (423) $false % 20.45/5.36 | % 20.45/5.36 |-The branch is then unsatisfiable % 20.45/5.36 |-Branch two: % 20.45/5.36 | (987) ~ (all_0_142_142 = e12) % 20.45/5.36 | (1043) all_0_142_142 = e11 % 20.45/5.36 | % 20.45/5.36 | Equations (1043) can reduce 987 to: % 20.45/5.36 | (1051) ~ (e12 = e11) % 20.45/5.36 | % 20.45/5.36 | Simplifying 1051 yields: % 20.45/5.36 | (313) ~ (e12 = e11) % 20.45/5.36 | % 20.45/5.36 +-Applying beta-rule and splitting (335), into two cases. % 20.45/5.36 |-Branch one: % 20.45/5.36 | (1003) all_0_143_143 = e10 % 20.45/5.36 | % 20.45/5.36 | Combining equations (1759,1003) yields a new equation: % 20.45/5.36 | (1390) e13 = e10 % 20.45/5.36 | % 20.45/5.36 | Simplifying 1390 yields: % 20.45/5.36 | (1171) e13 = e10 % 20.45/5.36 | % 20.45/5.36 | Equations (1171) can reduce 197 to: % 20.45/5.36 | (423) $false % 20.45/5.36 | % 20.45/5.36 |-The branch is then unsatisfiable % 20.45/5.36 |-Branch two: % 20.45/5.36 | (1006) ~ (all_0_143_143 = e10) % 20.45/5.36 | (1260) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11)) | ( ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 20.45/5.36 | % 20.45/5.36 +-Applying beta-rule and splitting (1260), into two cases. % 20.45/5.36 |-Branch one: % 20.45/5.36 | (1261) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11)) % 20.45/5.36 | % 20.45/5.36 +-Applying beta-rule and splitting (1261), into two cases. % 20.45/5.36 |-Branch one: % 20.45/5.36 | (1262) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) | (all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 20.45/5.36 | % 20.45/5.37 +-Applying beta-rule and splitting (1262), into two cases. % 20.45/5.37 |-Branch one: % 20.45/5.37 | (1263) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) | (all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10)) % 20.45/5.37 | % 20.45/5.37 +-Applying beta-rule and splitting (1263), into two cases. % 20.45/5.37 |-Branch one: % 20.45/5.37 | (1264) (all_0_135_135 = e12 & ~ (all_0_136_136 = e13)) | (all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10)) % 20.45/5.37 | % 20.45/5.37 +-Applying beta-rule and splitting (1264), into two cases. % 20.45/5.37 |-Branch one: % 20.45/5.37 | (1265) all_0_135_135 = e12 & ~ (all_0_136_136 = e13) % 20.45/5.37 | % 20.45/5.37 | Applying alpha-rule on (1265) yields: % 20.45/5.37 | (1266) all_0_135_135 = e12 % 20.45/5.37 | (1267) ~ (all_0_136_136 = e13) % 20.45/5.37 | % 20.45/5.37 | Equations (1381) can reduce 1267 to: % 20.45/5.37 | (423) $false % 20.45/5.37 | % 20.45/5.37 |-The branch is then unsatisfiable % 20.45/5.37 |-Branch two: % 20.45/5.37 | (1269) all_0_138_138 = e12 & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 20.45/5.37 | % 20.45/5.37 | Applying alpha-rule on (1269) yields: % 20.45/5.37 | (1050) ~ (all_0_145_145 = e11) % 20.45/5.37 | (999) ~ (all_0_146_146 = e10) % 20.45/5.37 | (973) all_0_138_138 = e12 % 20.45/5.37 | (962) ~ (all_0_144_144 = e12) % 20.45/5.37 | (1274) ~ (all_0_143_143 = e13) % 20.45/5.37 | % 20.45/5.37 | Combining equations (973,1239) yields a new equation: % 20.45/5.37 | (1256) e12 = e10 % 20.45/5.37 | % 20.45/5.37 | Simplifying 1256 yields: % 20.45/5.37 | (1004) e12 = e10 % 20.45/5.37 | % 20.45/5.37 | Equations (1004) can reduce 165 to: % 20.45/5.37 | (423) $false % 20.45/5.37 | % 20.45/5.37 |-The branch is then unsatisfiable % 20.45/5.37 |-Branch two: % 20.45/5.37 | (1276) all_0_140_140 = e11 & ~ (all_0_135_135 = e13) & ~ (all_0_136_136 = e12) & ~ (all_0_137_137 = e11) & ~ (all_0_138_138 = e10) % 20.45/5.37 | % 20.45/5.37 | Applying alpha-rule on (1276) yields: % 20.45/5.37 | (1277) ~ (all_0_138_138 = e10) % 20.45/5.37 | (1060) ~ (all_0_137_137 = e11) % 20.45/5.37 | (1024) all_0_140_140 = e11 % 20.45/5.37 | (1173) ~ (all_0_135_135 = e13) % 20.45/5.37 | (975) ~ (all_0_136_136 = e12) % 20.45/5.37 | % 20.45/5.37 | Combining equations (984,1024) yields a new equation: % 20.45/5.37 | (1018) e12 = e11 % 20.45/5.37 | % 20.45/5.37 | Simplifying 1018 yields: % 20.45/5.37 | (1019) e12 = e11 % 20.45/5.37 | % 20.45/5.37 | Equations (1019) can reduce 313 to: % 20.45/5.37 | (423) $false % 20.45/5.37 | % 20.45/5.37 |-The branch is then unsatisfiable % 20.45/5.37 |-Branch two: % 20.45/5.37 | (1284) all_0_142_142 = e11 & ~ (all_0_141_141 = e10) & ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 20.45/5.37 | % 20.45/5.37 | Applying alpha-rule on (1284) yields: % 20.45/5.37 | (1050) ~ (all_0_145_145 = e11) % 20.45/5.37 | (999) ~ (all_0_146_146 = e10) % 20.45/5.37 | (1287) ~ (all_0_141_141 = e10) % 20.45/5.37 | (962) ~ (all_0_144_144 = e12) % 20.45/5.37 | (1274) ~ (all_0_143_143 = e13) % 20.45/5.37 | (1043) all_0_142_142 = e11 % 20.45/5.37 | % 20.45/5.37 | Equations (1759) can reduce 1274 to: % 20.45/5.37 | (423) $false % 20.45/5.37 | % 20.45/5.37 |-The branch is then unsatisfiable % 20.45/5.37 |-Branch two: % 20.45/5.37 | (1292) all_0_145_145 = e10 & ~ (all_0_139_139 = e13) & ~ (all_0_140_140 = e12) & ~ (all_0_141_141 = e11) & ~ (all_0_142_142 = e10) & ~ (all_0_146_146 = e11) % 20.45/5.37 | % 20.45/5.37 | Applying alpha-rule on (1292) yields: % 20.45/5.37 | (1242) ~ (all_0_142_142 = e10) % 20.45/5.37 | (1294) ~ (all_0_146_146 = e11) % 20.45/5.37 | (1295) ~ (all_0_140_140 = e12) % 20.45/5.37 | (1296) ~ (all_0_139_139 = e13) % 20.45/5.37 | (1078) all_0_145_145 = e10 % 20.45/5.37 | (1151) ~ (all_0_141_141 = e11) % 20.45/5.37 | % 20.45/5.37 | Equations (984) can reduce 1295 to: % 20.45/5.37 | (423) $false % 20.45/5.37 | % 20.45/5.37 |-The branch is then unsatisfiable % 20.45/5.37 |-Branch two: % 20.45/5.37 | (1300) ~ (all_0_143_143 = e13) & ~ (all_0_144_144 = e12) & ~ (all_0_145_145 = e11) & ~ (all_0_146_146 = e10) % 20.45/5.37 | % 20.45/5.37 | Applying alpha-rule on (1300) yields: % 20.45/5.37 | (1274) ~ (all_0_143_143 = e13) % 20.45/5.37 | (962) ~ (all_0_144_144 = e12) % 20.45/5.37 | (1050) ~ (all_0_145_145 = e11) % 20.45/5.37 | (999) ~ (all_0_146_146 = e10) % 20.45/5.37 | % 20.45/5.37 | Equations (1759) can reduce 1274 to: % 20.45/5.37 | (423) $false % 20.45/5.37 | % 20.45/5.37 |-The branch is then unsatisfiable % 20.45/5.37 |-Branch two: % 20.45/5.37 | (1041) ~ (all_0_141_141 = e13) % 20.45/5.37 | (1184) all_0_145_145 = e13 % 20.45/5.37 | % 20.45/5.37 | Combining equations (1078,1184) yields a new equation: % 20.45/5.37 | (1171) e13 = e10 % 20.45/5.37 | % 20.45/5.37 | Equations (1171) can reduce 197 to: % 20.45/5.37 | (423) $false % 20.45/5.37 | % 20.45/5.37 |-The branch is then unsatisfiable % 20.45/5.37 |-Branch two: % 20.45/5.37 | (1267) ~ (all_0_136_136 = e13) % 20.45/5.37 | (1860) all_0_140_140 = e13 | all_0_144_144 = e13 % 20.45/5.37 | % 20.45/5.37 +-Applying beta-rule and splitting (1022), into two cases. % 20.45/5.37 |-Branch one: % 20.45/5.37 | (1043) all_0_142_142 = e11 % 20.45/5.37 | % 20.45/5.37 | Equations (1043) can reduce 117 to: % 20.45/5.37 | (1151) ~ (all_0_141_141 = e11) % 20.45/5.37 | % 20.45/5.37 +-Applying beta-rule and splitting (113), into two cases. % 20.45/5.37 |-Branch one: % 20.45/5.37 | (1065) all_0_137_137 = e11 % 20.45/5.37 | % 20.45/5.37 | Equations (1065) can reduce 220 to: % 20.45/5.37 | (1197) ~ (all_0_136_136 = e11) % 20.45/5.37 | % 20.45/5.37 +-Applying beta-rule and splitting (2182), into two cases. % 20.45/5.37 |-Branch one: % 20.45/5.37 | (1058) all_0_136_136 = e11 % 20.45/5.37 | % 20.45/5.37 | Equations (1058) can reduce 1197 to: % 20.45/5.37 | (423) $false % 20.45/5.37 | % 20.45/5.37 |-The branch is then unsatisfiable % 20.45/5.37 |-Branch two: % 20.45/5.37 | (1197) ~ (all_0_136_136 = e11) % 20.45/5.37 | (1381) all_0_136_136 = e13 % 20.45/5.37 | % 20.45/5.37 | Equations (1381) can reduce 1267 to: % 20.45/5.37 | (423) $false % 20.45/5.37 | % 20.45/5.37 |-The branch is then unsatisfiable % 20.45/5.37 |-Branch two: % 20.45/5.37 | (1060) ~ (all_0_137_137 = e11) % 20.45/5.37 | (1068) all_0_141_141 = e11 | all_0_145_145 = e11 % 20.45/5.37 | % 20.45/5.37 +-Applying beta-rule and splitting (1864), into two cases. % 20.45/5.37 |-Branch one: % 20.45/5.37 | (1065) all_0_137_137 = e11 % 20.45/5.37 | % 20.45/5.37 | Equations (1065) can reduce 1060 to: % 20.45/5.37 | (423) $false % 20.45/5.37 | % 20.45/5.37 |-The branch is then unsatisfiable % 20.45/5.37 |-Branch two: % 20.45/5.37 | (1060) ~ (all_0_137_137 = e11) % 20.45/5.37 | (1076) all_0_137_137 = e13 % 20.45/5.37 | % 20.45/5.37 | Equations (1076) can reduce 161 to: % 20.45/5.37 | (1040) ~ (all_0_141_141 = e13) % 20.45/5.37 | % 20.45/5.37 | Simplifying 1040 yields: % 20.45/5.37 | (1041) ~ (all_0_141_141 = e13) % 20.45/5.37 | % 20.45/5.37 +-Applying beta-rule and splitting (2201), into two cases. % 20.45/5.37 |-Branch one: % 20.45/5.37 | (1082) all_0_141_141 = e11 % 20.45/5.37 | % 20.45/5.37 | Equations (1082) can reduce 1151 to: % 20.45/5.37 | (423) $false % 20.45/5.37 | % 20.45/5.37 |-The branch is then unsatisfiable % 20.45/5.37 |-Branch two: % 20.45/5.37 | (1151) ~ (all_0_141_141 = e11) % 20.45/5.37 | (1180) all_0_141_141 = e13 % 20.45/5.37 | % 20.45/5.37 | Equations (1180) can reduce 1041 to: % 20.45/5.37 | (423) $false % 20.45/5.37 | % 20.45/5.37 |-The branch is then unsatisfiable % 20.45/5.37 |-Branch two: % 20.45/5.37 | (1047) ~ (all_0_142_142 = e11) % 20.45/5.37 | (1048) all_0_146_146 = e11 % 20.45/5.37 | % 20.45/5.37 | Combining equations (1048,1599) yields a new equation: % 20.45/5.37 | (1019) e12 = e11 % 20.45/5.37 | % 20.45/5.37 | Equations (1019) can reduce 313 to: % 20.45/5.37 | (423) $false % 20.45/5.37 | % 20.45/5.37 |-The branch is then unsatisfiable % 20.45/5.37 |-Branch two: % 20.45/5.37 | (1049) ~ (all_0_144_144 = e11) % 20.45/5.37 | (1439) all_0_145_145 = e11 | all_0_146_146 = e11 % 20.45/5.37 | % 20.45/5.37 +-Applying beta-rule and splitting (1243), into two cases. % 20.45/5.37 |-Branch one: % 20.45/5.37 | (1244) all_0_142_142 = e12 % 20.45/5.37 | % 20.45/5.37 | Equations (1244) can reduce 987 to: % 20.45/5.37 | (423) $false % 20.45/5.37 | % 20.45/5.37 |-The branch is then unsatisfiable % 20.45/5.37 |-Branch two: % 20.45/5.37 | (987) ~ (all_0_142_142 = e12) % 20.45/5.37 | (1043) all_0_142_142 = e11 % 20.45/5.37 | % 20.45/5.37 | Equations (1043) can reduce 1242 to: % 20.45/5.37 | (297) ~ (e11 = e10) % 20.45/5.37 | % 20.45/5.37 +-Applying beta-rule and splitting (113), into two cases. % 20.45/5.37 |-Branch one: % 20.45/5.37 | (1065) all_0_137_137 = e11 % 20.45/5.37 | % 20.45/5.37 | Equations (1065) can reduce 255 to: % 20.45/5.37 | (1051) ~ (e12 = e11) % 20.45/5.37 | % 20.45/5.37 | Simplifying 1051 yields: % 20.45/5.37 | (313) ~ (e12 = e11) % 20.45/5.37 | % 20.45/5.37 | Equations (1065) can reduce 1238 to: % 20.45/5.37 | (297) ~ (e11 = e10) % 20.45/5.37 | % 20.45/5.37 +-Applying beta-rule and splitting (1439), into two cases. % 20.45/5.37 |-Branch one: % 20.45/5.37 | (1188) all_0_145_145 = e11 % 20.45/5.37 | % 20.45/5.37 | Combining equations (1078,1188) yields a new equation: % 20.45/5.37 | (1045) e11 = e10 % 20.45/5.37 | % 20.45/5.37 | Equations (1045) can reduce 297 to: % 20.45/5.37 | (423) $false % 20.45/5.37 | % 20.45/5.37 |-The branch is then unsatisfiable % 20.45/5.37 |-Branch two: % 20.45/5.37 | (1050) ~ (all_0_145_145 = e11) % 20.45/5.37 | (1048) all_0_146_146 = e11 % 20.45/5.37 | % 20.45/5.37 | Combining equations (1048,1599) yields a new equation: % 20.45/5.37 | (1019) e12 = e11 % 20.45/5.37 | % 20.45/5.37 | Equations (1019) can reduce 313 to: % 20.45/5.37 | (423) $false % 20.45/5.37 | % 20.45/5.37 |-The branch is then unsatisfiable % 20.45/5.37 |-Branch two: % 20.45/5.37 | (1060) ~ (all_0_137_137 = e11) % 20.45/5.37 | (1068) all_0_141_141 = e11 | all_0_145_145 = e11 % 20.45/5.37 | % 20.45/5.37 +-Applying beta-rule and splitting (268), into two cases. % 20.45/5.37 |-Branch one: % 20.45/5.37 | (1058) all_0_136_136 = e11 % 20.45/5.37 | % 20.45/5.37 | Equations (1058) can reduce 975 to: % 20.45/5.37 | (1051) ~ (e12 = e11) % 20.45/5.37 | % 20.45/5.37 | Simplifying 1051 yields: % 20.45/5.37 | (313) ~ (e12 = e11) % 20.45/5.37 | % 20.45/5.37 | Equations (1058) can reduce 32 to: % 20.45/5.37 | (297) ~ (e11 = e10) % 20.45/5.37 | % 20.45/5.37 +-Applying beta-rule and splitting (1439), into two cases. % 20.45/5.37 |-Branch one: % 20.45/5.37 | (1188) all_0_145_145 = e11 % 20.45/5.37 | % 20.45/5.37 | Combining equations (1188,1078) yields a new equation: % 20.45/5.37 | (1044) e11 = e10 % 20.45/5.37 | % 20.45/5.37 | Simplifying 1044 yields: % 20.45/5.37 | (1045) e11 = e10 % 20.45/5.37 | % 20.45/5.37 | Equations (1045) can reduce 297 to: % 20.45/5.37 | (423) $false % 20.45/5.37 | % 20.45/5.37 |-The branch is then unsatisfiable % 20.45/5.37 |-Branch two: % 20.45/5.37 | (1050) ~ (all_0_145_145 = e11) % 20.45/5.37 | (1048) all_0_146_146 = e11 % 20.45/5.37 | % 20.45/5.37 | Combining equations (1599,1048) yields a new equation: % 20.45/5.37 | (1018) e12 = e11 % 20.45/5.37 | % 20.45/5.37 | Simplifying 1018 yields: % 20.45/5.37 | (1019) e12 = e11 % 20.45/5.37 | % 20.45/5.37 | Equations (1019) can reduce 313 to: % 20.45/5.37 | (423) $false % 20.45/5.37 | % 20.45/5.37 |-The branch is then unsatisfiable % 20.45/5.37 |-Branch two: % 20.45/5.37 | (1197) ~ (all_0_136_136 = e11) % 20.45/5.37 | (1202) all_0_137_137 = e11 | all_0_138_138 = e11 % 20.45/5.37 | % 20.45/5.37 +-Applying beta-rule and splitting (1202), into two cases. % 20.45/5.37 |-Branch one: % 20.45/5.37 | (1065) all_0_137_137 = e11 % 20.45/5.37 | % 20.45/5.37 | Equations (1065) can reduce 1060 to: % 20.45/5.37 | (423) $false % 20.45/5.37 | % 20.45/5.37 |-The branch is then unsatisfiable % 20.45/5.37 |-Branch two: % 20.45/5.37 | (1060) ~ (all_0_137_137 = e11) % 20.45/5.37 | (1017) all_0_138_138 = e11 % 20.45/5.37 | % 20.45/5.37 | Combining equations (1017,1239) yields a new equation: % 20.45/5.37 | (1044) e11 = e10 % 20.45/5.37 | % 20.45/5.37 | Simplifying 1044 yields: % 20.45/5.37 | (1045) e11 = e10 % 20.45/5.37 | % 20.45/5.37 | Equations (1045) can reduce 297 to: % 20.45/5.37 | (423) $false % 20.45/5.37 | % 20.45/5.37 |-The branch is then unsatisfiable % 20.45/5.37 |-Branch two: % 20.45/5.37 | (1295) ~ (all_0_140_140 = e12) % 20.45/5.38 | (1054) all_0_144_144 = e12 % 20.45/5.38 | % 20.45/5.38 | Equations (1054) can reduce 962 to: % 20.45/5.38 | (423) $false % 20.45/5.38 | % 20.45/5.38 |-The branch is then unsatisfiable % 20.45/5.38 |-Branch two: % 20.45/5.38 | (1277) ~ (all_0_138_138 = e10) % 20.45/5.38 | (1313) all_0_142_142 = e10 | all_0_146_146 = e10 % 20.45/5.38 | % 20.45/5.38 +-Applying beta-rule and splitting (46), into two cases. % 20.45/5.38 |-Branch one: % 20.45/5.38 | (1239) all_0_138_138 = e10 % 20.45/5.38 | % 20.45/5.38 | Equations (1239) can reduce 1277 to: % 20.45/5.38 | (423) $false % 20.45/5.38 | % 20.45/5.38 |-The branch is then unsatisfiable % 20.45/5.38 |-Branch two: % 20.45/5.38 | (1277) ~ (all_0_138_138 = e10) % 20.45/5.38 | (2077) all_0_138_138 = e12 | all_0_138_138 = e11 % 20.45/5.38 | % 20.45/5.38 +-Applying beta-rule and splitting (2077), into two cases. % 20.45/5.38 |-Branch one: % 20.45/5.38 | (973) all_0_138_138 = e12 % 20.45/5.38 | % 20.45/5.38 | Equations (973) can reduce 1324 to: % 20.45/5.38 | (423) $false % 20.45/5.38 | % 20.45/5.38 |-The branch is then unsatisfiable % 20.45/5.38 |-Branch two: % 20.45/5.38 | (1324) ~ (all_0_138_138 = e12) % 20.45/5.38 | (1017) all_0_138_138 = e11 % 20.45/5.38 | % 20.45/5.38 | Equations (1017) can reduce 50 to: % 20.45/5.38 | (2539) ~ (all_0_146_146 = e11) % 20.45/5.38 | % 20.45/5.38 | Simplifying 2539 yields: % 20.45/5.38 | (1294) ~ (all_0_146_146 = e11) % 20.45/5.38 | % 20.45/5.38 +-Applying beta-rule and splitting (224), into two cases. % 20.45/5.38 |-Branch one: % 20.45/5.38 | (1009) all_0_146_146 = e10 % 20.45/5.38 | % 20.45/5.38 | Equations (1009) can reduce 999 to: % 20.45/5.38 | (423) $false % 20.45/5.38 | % 20.45/5.38 |-The branch is then unsatisfiable % 20.45/5.38 |-Branch two: % 20.45/5.38 | (999) ~ (all_0_146_146 = e10) % 20.45/5.38 | (1012) all_0_146_146 = e12 | all_0_146_146 = e11 % 20.45/5.38 | % 20.45/5.38 +-Applying beta-rule and splitting (1012), into two cases. % 20.45/5.38 |-Branch one: % 20.45/5.38 | (1599) all_0_146_146 = e12 % 20.45/5.38 | % 20.45/5.38 | Equations (1599) can reduce 94 to: % 20.45/5.38 | (962) ~ (all_0_144_144 = e12) % 20.45/5.38 | % 20.45/5.38 +-Applying beta-rule and splitting (263), into two cases. % 20.45/5.38 |-Branch one: % 20.45/5.38 | (980) all_0_136_136 = e12 % 20.45/5.38 | % 20.45/5.38 | Equations (980) can reduce 975 to: % 20.45/5.38 | (423) $false % 20.45/5.38 | % 20.45/5.38 |-The branch is then unsatisfiable % 20.45/5.38 |-Branch two: % 20.45/5.38 | (975) ~ (all_0_136_136 = e12) % 20.45/5.38 | (983) all_0_140_140 = e12 | all_0_144_144 = e12 % 20.45/5.38 | % 20.45/5.38 +-Applying beta-rule and splitting (334), into two cases. % 20.45/5.38 |-Branch one: % 20.45/5.38 | (1054) all_0_144_144 = e12 % 20.45/5.38 | % 20.45/5.38 | Equations (1054) can reduce 962 to: % 20.45/5.38 | (423) $false % 20.45/5.38 | % 20.45/5.38 |-The branch is then unsatisfiable % 20.45/5.38 |-Branch two: % 20.45/5.38 | (962) ~ (all_0_144_144 = e12) % 20.45/5.38 | (1057) all_0_144_144 = e13 | all_0_144_144 = e11 % 20.45/5.38 | % 20.45/5.38 +-Applying beta-rule and splitting (983), into two cases. % 20.45/5.38 |-Branch one: % 20.45/5.38 | (984) all_0_140_140 = e12 % 20.45/5.38 | % 20.45/5.38 | Equations (984) can reduce 222 to: % 20.45/5.38 | (165) ~ (e12 = e10) % 20.45/5.38 | % 20.45/5.38 +-Applying beta-rule and splitting (1313), into two cases. % 20.45/5.38 |-Branch one: % 20.45/5.38 | (996) all_0_142_142 = e10 % 20.45/5.38 | % 20.45/5.38 | Equations (996) can reduce 1242 to: % 20.45/5.38 | (423) $false % 20.45/5.38 | % 20.45/5.38 |-The branch is then unsatisfiable % 20.45/5.38 |-Branch two: % 20.45/5.38 | (1242) ~ (all_0_142_142 = e10) % 20.45/5.38 | (1009) all_0_146_146 = e10 % 20.45/5.38 | % 20.45/5.38 | Combining equations (1009,1599) yields a new equation: % 20.45/5.38 | (1004) e12 = e10 % 20.45/5.38 | % 20.45/5.38 | Equations (1004) can reduce 165 to: % 20.45/5.38 | (423) $false % 20.45/5.38 | % 20.45/5.38 |-The branch is then unsatisfiable % 20.45/5.38 |-Branch two: % 20.45/5.38 | (1295) ~ (all_0_140_140 = e12) % 20.45/5.38 | (1054) all_0_144_144 = e12 % 20.45/5.38 | % 20.45/5.38 | Equations (1054) can reduce 962 to: % 20.45/5.38 | (423) $false % 20.45/5.38 | % 20.45/5.38 |-The branch is then unsatisfiable % 20.45/5.38 |-Branch two: % 20.45/5.38 | (966) ~ (all_0_146_146 = e12) % 20.45/5.38 | (1048) all_0_146_146 = e11 % 20.45/5.38 | % 20.45/5.38 | Equations (1048) can reduce 1294 to: % 20.45/5.38 | (423) $false % 20.45/5.38 | % 20.45/5.38 |-The branch is then unsatisfiable % 20.45/5.38 |-Branch two: % 20.45/5.38 | (1155) ~ (all_0_145_145 = e10) % 20.45/5.38 | (1156) all_0_145_145 = e13 | all_0_145_145 = e11 % 20.45/5.38 | % 20.45/5.38 +-Applying beta-rule and splitting (232), into two cases. % 20.45/5.38 |-Branch one: % 20.45/5.38 | (1003) all_0_143_143 = e10 % 20.45/5.38 | % 20.45/5.38 | Combining equations (1003,1759) yields a new equation: % 20.45/5.38 | (1171) e13 = e10 % 20.45/5.38 | % 20.45/5.38 | Equations (1171) can reduce 197 to: % 20.45/5.38 | (423) $false % 20.45/5.38 | % 20.45/5.38 |-The branch is then unsatisfiable % 20.45/5.38 |-Branch two: % 20.45/5.38 | (1006) ~ (all_0_143_143 = e10) % 20.45/5.38 | (1007) all_0_145_145 = e10 | all_0_146_146 = e10 % 20.45/5.38 | % 20.45/5.38 +-Applying beta-rule and splitting (1156), into two cases. % 20.45/5.38 |-Branch one: % 20.45/5.38 | (1188) all_0_145_145 = e11 % 20.45/5.38 | % 20.45/5.38 | Equations (1188) can reduce 82 to: % 20.45/5.38 | (1060) ~ (all_0_137_137 = e11) % 20.45/5.38 | % 20.45/5.38 | Equations (1188) can reduce 305 to: % 20.45/5.38 | (1151) ~ (all_0_141_141 = e11) % 20.45/5.38 | % 20.45/5.38 | Equations (1188) can reduce 1155 to: % 20.45/5.38 | (297) ~ (e11 = e10) % 20.45/5.38 | % 20.45/5.38 +-Applying beta-rule and splitting (21), into two cases. % 20.45/5.38 |-Branch one: % 20.45/5.38 | (1230) all_0_137_137 = e10 % 20.45/5.38 | % 20.45/5.38 | Equations (1230) can reduce 220 to: % 20.45/5.38 | (32) ~ (all_0_136_136 = e10) % 20.45/5.38 | % 20.45/5.38 | Equations (1230) can reduce 161 to: % 20.45/5.38 | (2167) ~ (all_0_141_141 = e10) % 20.45/5.38 | % 20.45/5.38 | Simplifying 2167 yields: % 20.45/5.38 | (1287) ~ (all_0_141_141 = e10) % 20.45/5.38 | % 20.45/5.38 | Equations (1230) can reduce 1060 to: % 20.45/5.38 | (1033) ~ (e11 = e10) % 20.45/5.38 | % 20.45/5.38 | Simplifying 1033 yields: % 20.45/5.38 | (297) ~ (e11 = e10) % 20.45/5.38 | % 20.45/5.38 +-Applying beta-rule and splitting (111), into two cases. % 20.45/5.38 |-Branch one: % 20.45/5.38 | (1395) all_0_141_141 = e10 % 20.45/5.38 | % 20.45/5.38 | Equations (1395) can reduce 1287 to: % 20.45/5.38 | (423) $false % 20.45/5.38 | % 20.45/5.38 |-The branch is then unsatisfiable % 20.45/5.38 |-Branch two: % 20.45/5.38 | (1287) ~ (all_0_141_141 = e10) % 20.45/5.38 | (2201) all_0_141_141 = e13 | all_0_141_141 = e11 % 20.45/5.38 | % 20.45/5.38 +-Applying beta-rule and splitting (1007), into two cases. % 20.45/5.38 |-Branch one: % 20.45/5.38 | (1078) all_0_145_145 = e10 % 20.45/5.38 | % 20.45/5.38 | Combining equations (1078,1188) yields a new equation: % 20.45/5.38 | (1045) e11 = e10 % 20.45/5.38 | % 20.45/5.38 | Equations (1045) can reduce 297 to: % 20.45/5.38 | (423) $false % 20.45/5.38 | % 20.45/5.38 |-The branch is then unsatisfiable % 20.45/5.38 |-Branch two: % 20.45/5.38 | (1155) ~ (all_0_145_145 = e10) % 20.45/5.38 | (1009) all_0_146_146 = e10 % 20.45/5.38 | % 20.45/5.38 | Equations (1009) can reduce 94 to: % 20.45/5.38 | (139) ~ (all_0_144_144 = e10) % 20.45/5.38 | % 20.45/5.38 +-Applying beta-rule and splitting (334), into two cases. % 20.45/5.38 |-Branch one: % 20.45/5.38 | (1054) all_0_144_144 = e12 % 20.45/5.38 | % 20.45/5.38 | Equations (1054) can reduce 48 to: % 20.45/5.38 | (1295) ~ (all_0_140_140 = e12) % 20.45/5.38 | % 20.45/5.38 | Equations (1054) can reduce 1813 to: % 20.45/5.38 | (1849) ~ (e13 = e12) % 20.45/5.38 | % 20.45/5.38 | Simplifying 1849 yields: % 20.45/5.38 | (292) ~ (e13 = e12) % 20.45/5.38 | % 20.45/5.38 | Equations (1054) can reduce 139 to: % 20.45/5.38 | (165) ~ (e12 = e10) % 20.45/5.38 | % 20.45/5.38 | From (1054) and (49) follows: % 20.45/5.38 | (2601) op1(e12, e10) = all_0_116_116 % 20.45/5.38 | % 20.45/5.38 +-Applying beta-rule and splitting (118), into two cases. % 20.45/5.38 |-Branch one: % 20.45/5.38 | (973) all_0_138_138 = e12 % 20.45/5.38 | % 20.45/5.38 | Equations (973) can reduce 1324 to: % 20.45/5.38 | (423) $false % 20.45/5.38 | % 20.45/5.38 |-The branch is then unsatisfiable % 20.45/5.38 |-Branch two: % 20.45/5.38 | (1324) ~ (all_0_138_138 = e12) % 20.45/5.38 | (1325) all_0_142_142 = e12 | all_0_146_146 = e12 % 20.45/5.38 | % 20.45/5.38 +-Applying beta-rule and splitting (8), into two cases. % 20.45/5.38 |-Branch one: % 20.45/5.38 | (1170) all_0_135_135 = e13 % 20.45/5.38 | % 20.45/5.38 | Combining equations (1170,1266) yields a new equation: % 20.45/5.38 | (2252) e13 = e12 % 20.45/5.38 | % 20.45/5.38 | Simplifying 2252 yields: % 20.45/5.38 | (1382) e13 = e12 % 20.45/5.38 | % 20.45/5.38 | Equations (1382) can reduce 292 to: % 20.45/5.38 | (423) $false % 20.45/5.38 | % 20.45/5.38 |-The branch is then unsatisfiable % 20.45/5.38 |-Branch two: % 20.45/5.38 | (1173) ~ (all_0_135_135 = e13) % 20.45/5.38 | (1174) all_0_136_136 = e13 | all_0_137_137 = e13 % 20.45/5.38 | % 20.45/5.38 +-Applying beta-rule and splitting (2201), into two cases. % 20.45/5.38 |-Branch one: % 20.45/5.38 | (1082) all_0_141_141 = e11 % 20.45/5.38 | % 20.45/5.38 | Equations (1082) can reduce 1151 to: % 20.45/5.38 | (423) $false % 20.45/5.38 | % 20.45/5.38 |-The branch is then unsatisfiable % 20.45/5.38 |-Branch two: % 20.45/5.38 | (1151) ~ (all_0_141_141 = e11) % 20.45/5.38 | (1180) all_0_141_141 = e13 % 20.45/5.38 | % 20.45/5.38 | Equations (1180) can reduce 1287 to: % 20.45/5.38 | (197) ~ (e13 = e10) % 20.45/5.38 | % 20.45/5.38 | From (1180) and (133) follows: % 20.45/5.38 | (2617) op1(e11, e11) = e13 % 20.45/5.38 | % 20.45/5.38 +-Applying beta-rule and splitting (135), into two cases. % 20.45/5.38 |-Branch one: % 20.45/5.38 | (1381) all_0_136_136 = e13 % 20.45/5.38 | % 20.45/5.38 | Equations (1381) can reduce 319 to: % 20.45/5.38 | (1386) ~ (all_0_138_138 = e13) % 20.45/5.38 | % 20.45/5.38 | Simplifying 1386 yields: % 20.45/5.38 | (102) ~ (all_0_138_138 = e13) % 20.45/5.38 | % 20.45/5.38 | Equations (1381) can reduce 266 to: % 20.45/5.38 | (2621) ~ (all_0_140_140 = e13) % 20.45/5.38 | % 20.45/5.38 | Simplifying 2621 yields: % 20.45/5.38 | (1935) ~ (all_0_140_140 = e13) % 20.45/5.38 | % 20.45/5.38 | Equations (1381) can reduce 32 to: % 20.45/5.38 | (197) ~ (e13 = e10) % 20.45/5.38 | % 20.45/5.38 | From (1381) and (35) follows: % 20.45/5.38 | (2624) op1(e13, e12) = all_0_114_114 % 20.45/5.38 | % 20.45/5.38 +-Applying beta-rule and splitting (203), into two cases. % 20.45/5.38 |-Branch one: % 20.45/5.38 | (984) all_0_140_140 = e12 % 20.45/5.38 | % 20.45/5.38 | Equations (984) can reduce 1295 to: % 20.45/5.38 | (423) $false % 20.45/5.38 | % 20.45/5.38 |-The branch is then unsatisfiable % 20.45/5.38 |-Branch two: % 20.45/5.38 | (1295) ~ (all_0_140_140 = e12) % 20.45/5.38 | (1380) all_0_140_140 = e13 | all_0_140_140 = e11 % 20.45/5.38 | % 20.45/5.38 +-Applying beta-rule and splitting (1325), into two cases. % 20.45/5.38 |-Branch one: % 20.45/5.38 | (1244) all_0_142_142 = e12 % 20.45/5.38 | % 20.45/5.38 | Equations (1244) can reduce 316 to: % 20.45/5.38 | (1324) ~ (all_0_138_138 = e12) % 20.45/5.38 | % 20.45/5.38 | Equations (1244) can reduce 11 to: % 20.45/5.39 | (1295) ~ (all_0_140_140 = e12) % 20.45/5.39 | % 20.45/5.39 +-Applying beta-rule and splitting (235), into two cases. % 20.45/5.39 |-Branch one: % 20.45/5.39 | (1017) all_0_138_138 = e11 % 20.45/5.39 | % 20.45/5.39 | Equations (1017) can reduce 102 to: % 20.45/5.39 | (1178) ~ (e13 = e11) % 20.45/5.39 | % 20.45/5.39 | Simplifying 1178 yields: % 20.45/5.39 | (349) ~ (e13 = e11) % 20.45/5.39 | % 20.45/5.39 | Equations (1017) can reduce 1324 to: % 20.45/5.39 | (1051) ~ (e12 = e11) % 20.45/5.39 | % 20.45/5.39 | Simplifying 1051 yields: % 20.45/5.39 | (313) ~ (e12 = e11) % 20.45/5.39 | % 20.45/5.39 | From (1017) and (18) follows: % 20.45/5.39 | (2637) op1(e12, e10) = e11 % 20.45/5.39 | % 20.45/5.39 +-Applying beta-rule and splitting (72), into two cases. % 20.45/5.39 |-Branch one: % 20.45/5.39 | (1024) all_0_140_140 = e11 % 20.45/5.39 | % 20.45/5.39 | Equations (1024) can reduce 1935 to: % 20.45/5.39 | (1178) ~ (e13 = e11) % 20.45/5.39 | % 20.45/5.39 | Simplifying 1178 yields: % 20.45/5.39 | (349) ~ (e13 = e11) % 20.45/5.39 | % 20.45/5.39 | Equations (1024) can reduce 1295 to: % 20.45/5.39 | (1051) ~ (e12 = e11) % 20.45/5.39 | % 20.45/5.39 | Simplifying 1051 yields: % 20.45/5.39 | (313) ~ (e12 = e11) % 20.45/5.39 | % 20.45/5.39 | From (1024) and (77) follows: % 20.45/5.39 | (2643) op1(e11, e11) = all_0_115_115 % 20.45/5.39 | % 20.45/5.39 | Instantiating formula (312) with e13, e12, all_0_114_114, e10 and discharging atoms op1(e13, e12) = all_0_114_114, op1(e13, e12) = e10, yields: % 20.45/5.39 | (2644) all_0_114_114 = e10 % 20.45/5.39 | % 20.45/5.39 | Instantiating formula (312) with e12, e10, e11, all_0_116_116 and discharging atoms op1(e12, e10) = all_0_116_116, op1(e12, e10) = e11, yields: % 20.45/5.39 | (2645) all_0_116_116 = e11 % 20.45/5.39 | % 20.45/5.39 | Instantiating formula (312) with e11, e11, e13, all_0_115_115 and discharging atoms op1(e11, e11) = all_0_115_115, op1(e11, e11) = e13, yields: % 20.45/5.39 | (2646) all_0_115_115 = e13 % 20.45/5.39 | % 20.45/5.39 +-Applying beta-rule and splitting (191), into two cases. % 20.45/5.39 |-Branch one: % 20.45/5.39 | (1003) all_0_143_143 = e10 % 20.45/5.39 | % 20.45/5.39 | Combining equations (1003,1759) yields a new equation: % 20.45/5.39 | (1171) e13 = e10 % 20.45/5.39 | % 20.45/5.39 | Equations (1171) can reduce 197 to: % 20.45/5.39 | (423) $false % 20.45/5.39 | % 20.45/5.39 |-The branch is then unsatisfiable % 20.45/5.39 |-Branch two: % 20.45/5.39 | (1006) ~ (all_0_143_143 = e10) % 20.45/5.39 | (2651) all_0_114_114 = all_0_136_136 | all_0_115_115 = all_0_140_140 | all_0_116_116 = all_0_144_144 % 20.45/5.39 | % 20.45/5.39 | Equations (1759) can reduce 1006 to: % 20.45/5.39 | (197) ~ (e13 = e10) % 20.45/5.39 | % 20.45/5.39 +-Applying beta-rule and splitting (2651), into two cases. % 20.45/5.39 |-Branch one: % 20.45/5.39 | (2653) all_0_114_114 = all_0_136_136 % 20.45/5.39 | % 20.45/5.39 | Combining equations (2653,2644) yields a new equation: % 20.45/5.39 | (2654) all_0_136_136 = e10 % 20.45/5.39 | % 20.45/5.39 | Simplifying 2654 yields: % 20.77/5.39 | (2655) all_0_136_136 = e10 % 20.77/5.39 | % 20.77/5.39 | Combining equations (2655,1381) yields a new equation: % 20.77/5.39 | (1171) e13 = e10 % 20.77/5.39 | % 20.77/5.39 | Equations (1171) can reduce 197 to: % 20.77/5.39 | (423) $false % 20.77/5.39 | % 20.77/5.39 |-The branch is then unsatisfiable % 20.77/5.39 |-Branch two: % 20.77/5.39 | (2658) ~ (all_0_114_114 = all_0_136_136) % 20.77/5.39 | (2659) all_0_115_115 = all_0_140_140 | all_0_116_116 = all_0_144_144 % 20.77/5.39 | % 20.77/5.39 +-Applying beta-rule and splitting (2659), into two cases. % 20.77/5.39 |-Branch one: % 20.77/5.39 | (2660) all_0_115_115 = all_0_140_140 % 20.77/5.39 | % 20.77/5.39 | Combining equations (2660,2646) yields a new equation: % 20.77/5.39 | (2661) all_0_140_140 = e13 % 20.77/5.39 | % 20.77/5.39 | Simplifying 2661 yields: % 20.77/5.39 | (1871) all_0_140_140 = e13 % 20.77/5.39 | % 20.77/5.39 | Combining equations (1024,1871) yields a new equation: % 20.77/5.39 | (1181) e13 = e11 % 20.77/5.39 | % 20.77/5.39 | Equations (1181) can reduce 349 to: % 20.77/5.39 | (423) $false % 20.77/5.39 | % 20.77/5.39 |-The branch is then unsatisfiable % 20.77/5.39 |-Branch two: % 20.77/5.39 | (2665) ~ (all_0_115_115 = all_0_140_140) % 20.77/5.39 | (2666) all_0_116_116 = all_0_144_144 % 20.77/5.39 | % 20.77/5.39 | Combining equations (2645,2666) yields a new equation: % 20.77/5.39 | (1069) all_0_144_144 = e11 % 20.77/5.39 | % 20.77/5.39 | Combining equations (1069,1054) yields a new equation: % 20.77/5.39 | (1019) e12 = e11 % 20.77/5.39 | % 20.77/5.39 | Equations (1019) can reduce 313 to: % 20.77/5.39 | (423) $false % 20.77/5.39 | % 20.77/5.39 |-The branch is then unsatisfiable % 20.77/5.39 |-Branch two: % 20.77/5.39 | (1028) ~ (all_0_140_140 = e11) % 20.77/5.39 | (1029) all_0_141_141 = e11 | all_0_142_142 = e11 % 20.77/5.39 | % 20.77/5.39 +-Applying beta-rule and splitting (14), into two cases. % 20.77/5.39 |-Branch one: % 20.77/5.39 | (1058) all_0_136_136 = e11 % 20.77/5.39 | % 20.77/5.39 | Combining equations (1058,1381) yields a new equation: % 20.77/5.39 | (1181) e13 = e11 % 20.77/5.39 | % 20.77/5.39 | Equations (1181) can reduce 349 to: % 20.77/5.39 | (423) $false % 20.77/5.39 | % 20.77/5.39 |-The branch is then unsatisfiable % 20.77/5.39 |-Branch two: % 20.77/5.39 | (1197) ~ (all_0_136_136 = e11) % 20.77/5.39 | (1198) all_0_140_140 = e11 | all_0_144_144 = e11 % 20.77/5.39 | % 20.77/5.39 +-Applying beta-rule and splitting (1198), into two cases. % 20.77/5.39 |-Branch one: % 20.77/5.39 | (1024) all_0_140_140 = e11 % 20.77/5.39 | % 20.77/5.39 | Equations (1024) can reduce 1028 to: % 20.77/5.39 | (423) $false % 20.77/5.39 | % 20.77/5.39 |-The branch is then unsatisfiable % 20.77/5.39 |-Branch two: % 20.77/5.39 | (1028) ~ (all_0_140_140 = e11) % 20.77/5.39 | (1069) all_0_144_144 = e11 % 20.77/5.39 | % 20.77/5.39 | Combining equations (1069,1054) yields a new equation: % 20.77/5.39 | (1019) e12 = e11 % 20.77/5.39 | % 20.77/5.39 | Equations (1019) can reduce 313 to: % 20.77/5.39 | (423) $false % 20.77/5.39 | % 20.77/5.39 |-The branch is then unsatisfiable % 20.77/5.39 |-Branch two: % 20.77/5.39 | (1021) ~ (all_0_138_138 = e11) % 20.77/5.39 | (1022) all_0_142_142 = e11 | all_0_146_146 = e11 % 20.77/5.39 | % 20.77/5.39 +-Applying beta-rule and splitting (72), into two cases. % 20.77/5.39 |-Branch one: % 20.77/5.39 | (1024) all_0_140_140 = e11 % 20.77/5.39 | % 20.77/5.39 | Equations (1024) can reduce 1935 to: % 20.77/5.39 | (1178) ~ (e13 = e11) % 20.77/5.39 | % 20.77/5.39 | Simplifying 1178 yields: % 20.77/5.39 | (349) ~ (e13 = e11) % 20.77/5.39 | % 20.77/5.39 | Equations (1024) can reduce 222 to: % 20.77/5.39 | (297) ~ (e11 = e10) % 20.77/5.39 | % 20.77/5.39 +-Applying beta-rule and splitting (268), into two cases. % 20.77/5.39 |-Branch one: % 20.77/5.39 | (1058) all_0_136_136 = e11 % 20.77/5.39 | % 20.77/5.39 | Combining equations (1058,1381) yields a new equation: % 20.77/5.39 | (1181) e13 = e11 % 20.77/5.39 | % 20.77/5.39 | Equations (1181) can reduce 349 to: % 20.77/5.39 | (423) $false % 20.77/5.39 | % 20.77/5.39 |-The branch is then unsatisfiable % 20.77/5.39 |-Branch two: % 20.77/5.39 | (1197) ~ (all_0_136_136 = e11) % 20.77/5.39 | (1202) all_0_137_137 = e11 | all_0_138_138 = e11 % 20.77/5.39 | % 20.77/5.39 +-Applying beta-rule and splitting (1202), into two cases. % 20.77/5.39 |-Branch one: % 20.77/5.39 | (1065) all_0_137_137 = e11 % 20.77/5.39 | % 20.77/5.39 | Combining equations (1065,1230) yields a new equation: % 20.77/5.39 | (1044) e11 = e10 % 20.77/5.39 | % 20.77/5.39 | Simplifying 1044 yields: % 20.77/5.39 | (1045) e11 = e10 % 20.77/5.39 | % 20.77/5.39 | Equations (1045) can reduce 297 to: % 20.77/5.39 | (423) $false % 20.77/5.39 | % 20.77/5.39 |-The branch is then unsatisfiable % 20.77/5.39 |-Branch two: % 20.77/5.39 | (1060) ~ (all_0_137_137 = e11) % 20.77/5.39 | (1017) all_0_138_138 = e11 % 20.77/5.39 | % 20.77/5.39 | Equations (1017) can reduce 1021 to: % 20.77/5.39 | (423) $false % 20.77/5.39 | % 20.77/5.39 |-The branch is then unsatisfiable % 20.77/5.39 |-Branch two: % 20.77/5.39 | (1028) ~ (all_0_140_140 = e11) % 20.77/5.39 | (1029) all_0_141_141 = e11 | all_0_142_142 = e11 % 20.77/5.39 | % 20.77/5.39 +-Applying beta-rule and splitting (1380), into two cases. % 20.77/5.39 |-Branch one: % 20.77/5.39 | (1024) all_0_140_140 = e11 % 20.77/5.39 | % 20.77/5.39 | Equations (1024) can reduce 1028 to: % 20.77/5.39 | (423) $false % 20.77/5.39 | % 20.77/5.39 |-The branch is then unsatisfiable % 20.77/5.39 |-Branch two: % 20.77/5.39 | (1028) ~ (all_0_140_140 = e11) % 20.77/5.39 | (1871) all_0_140_140 = e13 % 20.77/5.39 | % 20.77/5.39 | Equations (1871) can reduce 1935 to: % 20.77/5.39 | (423) $false % 20.77/5.39 | % 20.77/5.39 |-The branch is then unsatisfiable % 20.77/5.39 |-Branch two: % 20.77/5.39 | (987) ~ (all_0_142_142 = e12) % 20.77/5.39 | (1599) all_0_146_146 = e12 % 20.77/5.39 | % 20.77/5.39 | Combining equations (1599,1009) yields a new equation: % 20.77/5.39 | (1256) e12 = e10 % 20.77/5.39 | % 20.77/5.39 | Simplifying 1256 yields: % 20.77/5.39 | (1004) e12 = e10 % 20.77/5.39 | % 20.77/5.39 | Equations (1004) can reduce 165 to: % 20.77/5.39 | (423) $false % 20.77/5.39 | % 20.77/5.39 |-The branch is then unsatisfiable % 20.77/5.39 |-Branch two: % 20.77/5.39 | (1267) ~ (all_0_136_136 = e13) % 20.77/5.39 | (1860) all_0_140_140 = e13 | all_0_144_144 = e13 % 20.77/5.39 | % 20.77/5.39 +-Applying beta-rule and splitting (1174), into two cases. % 20.77/5.39 |-Branch one: % 20.77/5.39 | (1381) all_0_136_136 = e13 % 20.77/5.39 | % 20.77/5.39 | Equations (1381) can reduce 1267 to: % 20.77/5.39 | (423) $false % 20.77/5.39 | % 20.77/5.39 |-The branch is then unsatisfiable % 20.77/5.39 |-Branch two: % 20.77/5.39 | (1267) ~ (all_0_136_136 = e13) % 20.77/5.39 | (1076) all_0_137_137 = e13 % 20.77/5.39 | % 20.77/5.39 | Combining equations (1076,1230) yields a new equation: % 20.77/5.39 | (1390) e13 = e10 % 20.77/5.39 | % 20.77/5.39 | Simplifying 1390 yields: % 20.77/5.39 | (1171) e13 = e10 % 20.77/5.39 | % 20.77/5.39 | Equations (1171) can reduce 197 to: % 20.77/5.39 | (423) $false % 20.77/5.39 | % 20.77/5.39 |-The branch is then unsatisfiable % 20.77/5.39 |-Branch two: % 20.77/5.40 | (962) ~ (all_0_144_144 = e12) % 20.77/5.40 | (1057) all_0_144_144 = e13 | all_0_144_144 = e11 % 20.77/5.40 | % 20.77/5.40 +-Applying beta-rule and splitting (263), into two cases. % 20.77/5.40 |-Branch one: % 20.77/5.40 | (980) all_0_136_136 = e12 % 20.77/5.40 | % 20.77/5.40 | Equations (980) can reduce 975 to: % 20.77/5.40 | (423) $false % 20.77/5.40 | % 20.77/5.40 |-The branch is then unsatisfiable % 20.77/5.40 |-Branch two: % 20.77/5.40 | (975) ~ (all_0_136_136 = e12) % 20.77/5.40 | (983) all_0_140_140 = e12 | all_0_144_144 = e12 % 20.77/5.40 | % 20.77/5.40 +-Applying beta-rule and splitting (983), into two cases. % 20.77/5.40 |-Branch one: % 20.77/5.40 | (984) all_0_140_140 = e12 % 20.77/5.40 | % 20.77/5.40 | Equations (984) can reduce 48 to: % 20.77/5.40 | (961) ~ (all_0_144_144 = e12) % 20.77/5.40 | % 20.77/5.40 | Simplifying 961 yields: % 20.77/5.40 | (962) ~ (all_0_144_144 = e12) % 20.77/5.40 | % 20.77/5.40 | Equations (984) can reduce 222 to: % 20.77/5.40 | (165) ~ (e12 = e10) % 20.77/5.40 | % 20.77/5.40 +-Applying beta-rule and splitting (1716), into two cases. % 20.77/5.40 |-Branch one: % 20.77/5.40 | (1054) all_0_144_144 = e12 % 20.77/5.40 | % 20.77/5.40 | Equations (1054) can reduce 962 to: % 20.77/5.40 | (423) $false % 20.77/5.40 | % 20.77/5.40 |-The branch is then unsatisfiable % 20.77/5.40 |-Branch two: % 20.77/5.40 | (962) ~ (all_0_144_144 = e12) % 20.77/5.40 | (1599) all_0_146_146 = e12 % 20.77/5.40 | % 20.77/5.40 | Combining equations (1599,1009) yields a new equation: % 20.77/5.40 | (1256) e12 = e10 % 20.77/5.40 | % 20.77/5.40 | Simplifying 1256 yields: % 20.77/5.40 | (1004) e12 = e10 % 20.77/5.40 | % 20.77/5.40 | Equations (1004) can reduce 165 to: % 20.77/5.40 | (423) $false % 20.77/5.40 | % 20.77/5.40 |-The branch is then unsatisfiable % 20.77/5.40 |-Branch two: % 20.77/5.40 | (1295) ~ (all_0_140_140 = e12) % 20.77/5.40 | (1054) all_0_144_144 = e12 % 20.77/5.40 | % 20.77/5.40 | Equations (1054) can reduce 962 to: % 20.77/5.40 | (423) $false % 20.77/5.40 | % 20.77/5.40 |-The branch is then unsatisfiable % 20.77/5.40 |-Branch two: % 20.77/5.40 | (1238) ~ (all_0_137_137 = e10) % 20.77/5.40 | (2743) all_0_141_141 = e10 | all_0_145_145 = e10 % 20.77/5.40 | % 20.77/5.40 +-Applying beta-rule and splitting (2743), into two cases. % 20.77/5.40 |-Branch one: % 20.77/5.40 | (1395) all_0_141_141 = e10 % 20.77/5.40 | % 20.77/5.40 | Equations (1395) can reduce 1287 to: % 20.77/5.40 | (423) $false % 20.77/5.40 | % 20.77/5.40 |-The branch is then unsatisfiable % 20.77/5.40 |-Branch two: % 20.77/5.40 | (1287) ~ (all_0_141_141 = e10) % 20.77/5.40 | (1078) all_0_145_145 = e10 % 20.77/5.40 | % 20.77/5.40 | Combining equations (1078,1188) yields a new equation: % 20.77/5.40 | (1045) e11 = e10 % 20.77/5.40 | % 20.77/5.40 | Equations (1045) can reduce 297 to: % 20.77/5.40 | (423) $false % 20.77/5.40 | % 20.77/5.40 |-The branch is then unsatisfiable % 20.77/5.40 |-Branch two: % 20.77/5.40 | (1050) ~ (all_0_145_145 = e11) % 20.77/5.40 | (1184) all_0_145_145 = e13 % 20.77/5.40 | % 20.77/5.40 | Equations (1184) can reduce 1074 to: % 20.77/5.40 | (423) $false % 20.77/5.40 | % 20.77/5.40 |-The branch is then unsatisfiable % 20.77/5.40 |-Branch two: % 20.77/5.40 | (997) ~ (all_0_139_139 = e10) % 20.77/5.40 | (1003) all_0_143_143 = e10 % 20.77/5.40 | % 20.77/5.40 | Combining equations (1759,1003) yields a new equation: % 20.77/5.40 | (1390) e13 = e10 % 20.77/5.40 | % 20.77/5.40 | Simplifying 1390 yields: % 20.77/5.40 | (1171) e13 = e10 % 20.77/5.40 | % 20.77/5.40 | Equations (1171) can reduce 197 to: % 20.77/5.40 | (423) $false % 20.77/5.40 | % 20.77/5.40 |-The branch is then unsatisfiable % 20.77/5.40 |-Branch two: % 20.77/5.40 | (960) ~ (all_0_135_135 = e12) % 20.77/5.40 | (1170) all_0_135_135 = e13 % 20.77/5.40 | % 20.77/5.40 | Equations (1170) can reduce 1173 to: % 20.77/5.40 | (423) $false % 20.77/5.40 | % 20.77/5.40 |-The branch is then unsatisfiable % 20.77/5.40 |-Branch two: % 20.77/5.40 | (507) ~ (all_0_128_128 = e22) % 20.77/5.40 | (820) all_0_128_128 = e23 % 20.77/5.40 | % 20.77/5.40 | Equations (820) can reduce 935 to: % 20.77/5.40 | (423) $false % 20.77/5.40 | % 20.77/5.40 |-The branch is then unsatisfiable % 20.77/5.40 |-Branch two: % 20.77/5.40 | (483) ~ (all_0_127_127 = e23) % 20.77/5.40 | (519) all_0_131_131 = e23 % 20.77/5.40 | % 20.77/5.40 | Equations (519) can reduce 548 to: % 20.77/5.40 | (423) $false % 20.77/5.40 | % 20.77/5.40 |-The branch is then unsatisfiable % 20.77/5.40 |-Branch two: % 20.77/5.40 | (655) ~ (all_0_123_123 = e20) % 20.77/5.40 | (683) all_0_123_123 = e23 | all_0_123_123 = e22 % 20.77/5.40 | % 20.77/5.40 +-Applying beta-rule and splitting (683), into two cases. % 20.77/5.40 |-Branch one: % 20.77/5.40 | (539) all_0_123_123 = e22 % 20.77/5.40 | % 20.77/5.40 | Equations (539) can reduce 623 to: % 20.77/5.40 | (423) $false % 20.77/5.40 | % 20.77/5.40 |-The branch is then unsatisfiable % 20.77/5.40 |-Branch two: % 20.77/5.40 | (623) ~ (all_0_123_123 = e22) % 20.77/5.40 | (521) all_0_123_123 = e23 % 20.77/5.40 | % 20.77/5.40 | Equations (521) can reduce 524 to: % 20.77/5.40 | (423) $false % 20.77/5.40 | % 20.77/5.40 |-The branch is then unsatisfiable % 20.77/5.40 |-Branch two: % 20.77/5.40 | (4647) ~ (all_0_125_125 = e23) % 20.77/5.40 | (4648) all_0_129_129 = e23 | all_0_133_133 = e23 % 20.77/5.40 | % 20.77/5.40 +-Applying beta-rule and splitting (4648), into two cases. % 20.77/5.40 |-Branch one: % 20.77/5.40 | (482) all_0_129_129 = e23 % 20.77/5.40 | % 20.77/5.40 | Combining equations (482,475) yields a new equation: % 20.77/5.40 | (4650) e23 = e21 % 20.77/5.40 | % 20.77/5.40 | Simplifying 4650 yields: % 20.77/5.40 | (4651) e23 = e21 % 20.77/5.40 | % 20.77/5.40 | Equations (4651) can reduce 288 to: % 20.77/5.40 | (423) $false % 20.77/5.40 | % 20.77/5.40 |-The branch is then unsatisfiable % 20.77/5.40 |-Branch two: % 20.77/5.40 | (4653) ~ (all_0_129_129 = e23) % 20.77/5.40 | (587) all_0_133_133 = e23 % 20.77/5.40 | % 20.77/5.40 | Combining equations (587,511) yields a new equation: % 20.77/5.40 | (529) e23 = e20 % 20.77/5.40 | % 20.77/5.40 | Simplifying 529 yields: % 20.77/5.40 | (522) e23 = e20 % 20.77/5.40 | % 20.77/5.40 | Equations (522) can reduce 276 to: % 20.77/5.40 | (423) $false % 20.77/5.40 | % 20.77/5.40 |-The branch is then unsatisfiable % 20.77/5.40 |-Branch two: % 20.77/5.40 | (449) ~ (all_0_109_109 = all_0_130_130) % 20.77/5.40 | (450) all_0_110_110 = all_0_134_134 % 20.77/5.40 | % 20.77/5.40 | Combining equations (450,869) yields a new equation: % 20.77/5.40 | (4660) all_0_134_134 = e20 % 20.77/5.40 | % 20.77/5.40 | Simplifying 4660 yields: % 20.77/5.40 | (652) all_0_134_134 = e20 % 20.77/5.40 | % 20.77/5.40 | Combining equations (393,652) yields a new equation: % 20.77/5.40 | (2781) e21 = e20 % 20.77/5.40 | % 20.77/5.40 | Simplifying 2781 yields: % 20.77/5.40 | (564) e21 = e20 % 20.77/5.40 | % 20.77/5.40 | Equations (564) can reduce 326 to: % 20.77/5.40 | (423) $false % 20.77/5.40 | % 20.77/5.40 |-The branch is then unsatisfiable % 20.77/5.40 |-Branch two: % 20.77/5.40 | (431) ~ (all_0_126_126 = e22) % 20.77/5.40 | (432) all_0_130_130 = e22 | all_0_134_134 = e22 % 20.77/5.40 | % 20.77/5.40 +-Applying beta-rule and splitting (432), into two cases. % 20.77/5.40 |-Branch one: % 20.77/5.40 | (433) all_0_130_130 = e22 % 20.77/5.40 | % 20.77/5.40 | Combining equations (433,473) yields a new equation: % 20.77/5.40 | (780) e22 = e20 % 20.77/5.40 | % 20.77/5.40 | Simplifying 780 yields: % 20.77/5.40 | (429) e22 = e20 % 20.77/5.40 | % 20.77/5.40 | Equations (429) can reduce 121 to: % 20.77/5.40 | (423) $false % 20.77/5.40 | % 20.77/5.40 |-The branch is then unsatisfiable % 20.77/5.40 |-Branch two: % 20.77/5.40 | (455) ~ (all_0_130_130 = e22) % 20.77/5.40 | (452) all_0_134_134 = e22 % 20.77/5.40 | % 20.77/5.40 | Combining equations (452,393) yields a new equation: % 20.77/5.40 | (457) e22 = e21 % 20.77/5.40 | % 20.77/5.40 | Simplifying 457 yields: % 20.77/5.40 | (447) e22 = e21 % 20.77/5.40 | % 20.77/5.40 | Equations (447) can reduce 248 to: % 20.77/5.40 | (423) $false % 20.77/5.40 | % 20.77/5.40 |-The branch is then unsatisfiable % 20.77/5.40 |-Branch two: % 20.77/5.40 | (572) ~ (all_0_130_130 = e20) % 20.77/5.40 | (652) all_0_134_134 = e20 % 20.77/5.40 | % 20.77/5.40 | Combining equations (652,393) yields a new equation: % 20.77/5.40 | (564) e21 = e20 % 20.77/5.40 | % 20.77/5.40 | Equations (564) can reduce 326 to: % 20.77/5.40 | (423) $false % 20.77/5.40 | % 20.77/5.40 |-The branch is then unsatisfiable % 20.77/5.40 |-Branch two: % 20.77/5.40 | (416) ~ (all_0_129_129 = e21) % 20.77/5.40 | (446) all_0_130_130 = e21 % 20.77/5.40 | % 20.77/5.40 | Equations (446) can reduce 395 to: % 20.77/5.40 | (423) $false % 20.77/5.40 | % 20.77/5.40 |-The branch is then unsatisfiable % 20.77/5.40 |-Branch two: % 20.77/5.40 | (405) ~ (all_0_124_124 = e21) % 20.77/5.40 | (4684) all_0_128_128 = e21 | all_0_132_132 = e21 % 20.77/5.40 | % 20.77/5.40 +-Applying beta-rule and splitting (4684), into two cases. % 20.77/5.40 |-Branch one: % 20.77/5.40 | (404) all_0_128_128 = e21 % 20.77/5.40 | % 20.77/5.40 | Equations (404) can reduce 733 to: % 20.77/5.40 | (423) $false % 20.77/5.40 | % 20.77/5.40 |-The branch is then unsatisfiable % 20.77/5.40 |-Branch two: % 20.77/5.40 | (733) ~ (all_0_128_128 = e21) % 20.77/5.40 | (924) all_0_132_132 = e21 % 20.77/5.40 | % 20.77/5.40 | Equations (924) can reduce 396 to: % 20.77/5.40 | (423) $false % 20.77/5.40 | % 20.77/5.40 |-The branch is then unsatisfiable % 20.77/5.40 |-Branch two: % 20.77/5.40 | (567) ~ (all_0_134_134 = e21) % 20.77/5.40 | (4691) all_0_134_134 = e22 | all_0_134_134 = e20 % 20.77/5.40 | % 20.77/5.40 +-Applying beta-rule and splitting (79), into two cases. % 20.77/5.40 |-Branch one: % 20.77/5.40 | (924) all_0_132_132 = e21 % 20.77/5.40 | % 20.77/5.40 | Equations (924) can reduce 350 to: % 20.77/5.40 | (405) ~ (all_0_124_124 = e21) % 20.77/5.40 | % 20.77/5.40 | Equations (924) can reduce 61 to: % 20.77/5.40 | (733) ~ (all_0_128_128 = e21) % 20.77/5.40 | % 20.77/5.40 | Equations (924) can reduce 242 to: % 20.77/5.40 | (4695) ~ (all_0_134_134 = e21) % 20.77/5.40 | % 20.77/5.40 | Simplifying 4695 yields: % 20.77/5.40 | (567) ~ (all_0_134_134 = e21) % 20.77/5.40 | % 20.77/5.40 | Equations (924) can reduce 17 to: % 20.77/5.40 | (326) ~ (e21 = e20) % 20.77/5.40 | % 20.77/5.40 | From (924) and (348) follows: % 20.77/5.40 | (4698) op2(e20, e22) = e21 % 20.77/5.41 | % 20.77/5.41 +-Applying beta-rule and splitting (344), into two cases. % 20.77/5.41 |-Branch one: % 20.77/5.41 | (422) all_0_126_126 = e21 % 20.77/5.41 | % 20.77/5.41 | Equations (422) can reduce 267 to: % 20.77/5.41 | (353) ~ (all_0_123_123 = e21) % 20.77/5.41 | % 20.77/5.41 | Equations (422) can reduce 240 to: % 20.77/5.41 | (405) ~ (all_0_124_124 = e21) % 20.77/5.41 | % 20.77/5.41 | Equations (422) can reduce 226 to: % 20.77/5.41 | (407) ~ (all_0_130_130 = e21) % 20.77/5.41 | % 20.77/5.41 | Simplifying 407 yields: % 20.77/5.41 | (395) ~ (all_0_130_130 = e21) % 20.77/5.41 | % 20.77/5.41 | Equations (422) can reduce 238 to: % 20.77/5.41 | (4695) ~ (all_0_134_134 = e21) % 20.77/5.41 | % 20.77/5.41 | Simplifying 4695 yields: % 20.77/5.41 | (567) ~ (all_0_134_134 = e21) % 20.77/5.41 | % 20.77/5.41 | Equations (422) can reduce 125 to: % 20.77/5.41 | (397) ~ (e23 = e21) % 20.77/5.41 | % 20.77/5.41 | Simplifying 397 yields: % 20.77/5.41 | (288) ~ (e23 = e21) % 20.77/5.41 | % 20.77/5.41 | From (422) and (83) follows: % 20.77/5.41 | (4708) op2(e21, e22) = all_0_108_108 % 20.77/5.41 | % 20.77/5.41 | From (422) and (129) follows: % 20.77/5.41 | (4709) op2(e22, e20) = e21 % 20.77/5.41 | % 20.77/5.41 +-Applying beta-rule and splitting (64), into two cases. % 20.77/5.41 |-Branch one: % 20.77/5.41 | (404) all_0_128_128 = e21 % 20.77/5.41 | % 20.77/5.41 | Equations (404) can reduce 733 to: % 20.77/5.41 | (423) $false % 20.77/5.41 | % 20.77/5.41 |-The branch is then unsatisfiable % 20.77/5.41 |-Branch two: % 20.77/5.41 | (733) ~ (all_0_128_128 = e21) % 20.77/5.41 | (734) all_0_129_129 = e21 | all_0_130_130 = e21 % 20.77/5.41 | % 20.77/5.41 +-Applying beta-rule and splitting (734), into two cases. % 20.77/5.41 |-Branch one: % 20.77/5.41 | (475) all_0_129_129 = e21 % 20.77/5.41 | % 20.77/5.41 | Equations (475) can reduce 374 to: % 20.77/5.41 | (553) ~ (all_0_125_125 = e21) % 20.77/5.41 | % 20.77/5.41 | Equations (475) can reduce 228 to: % 20.77/5.41 | (329) ~ (all_0_127_127 = e21) % 20.77/5.41 | % 20.77/5.41 | Equations (475) can reduce 368 to: % 20.77/5.41 | (733) ~ (all_0_128_128 = e21) % 20.77/5.41 | % 20.77/5.41 | Equations (475) can reduce 234 to: % 20.77/5.41 | (407) ~ (all_0_130_130 = e21) % 20.77/5.41 | % 20.77/5.41 | Simplifying 407 yields: % 20.77/5.41 | (395) ~ (all_0_130_130 = e21) % 20.77/5.41 | % 20.77/5.41 | Equations (475) can reduce 175 to: % 20.77/5.41 | (417) ~ (all_0_133_133 = e21) % 20.77/5.41 | % 20.77/5.41 | Simplifying 417 yields: % 20.77/5.41 | (418) ~ (all_0_133_133 = e21) % 20.77/5.41 | % 20.77/5.41 | Instantiating formula (3) with e21, e22, all_0_108_108, all_0_128_128 and discharging atoms op2(e21, e22) = all_0_108_108, op2(e21, e22) = all_0_128_128, yields: % 20.77/5.41 | (4722) all_0_108_108 = all_0_128_128 % 20.77/5.41 | % 20.77/5.41 +-Applying beta-rule and splitting (371), into two cases. % 20.77/5.41 |-Branch one: % 20.77/5.41 | (426) all_0_126_126 = e20 % 20.77/5.41 | % 20.77/5.41 | Combining equations (426,422) yields a new equation: % 20.77/5.41 | (564) e21 = e20 % 20.77/5.41 | % 20.77/5.41 | Equations (564) can reduce 326 to: % 20.77/5.41 | (423) $false % 20.77/5.41 | % 20.77/5.41 |-The branch is then unsatisfiable % 20.77/5.41 |-Branch two: % 20.77/5.41 | (460) ~ (all_0_126_126 = e20) % 20.77/5.41 | (461) all_0_130_130 = e20 | all_0_134_134 = e20 % 20.77/5.41 | % 20.77/5.41 | Equations (422) can reduce 460 to: % 20.77/5.41 | (326) ~ (e21 = e20) % 20.77/5.41 | % 20.77/5.41 +-Applying beta-rule and splitting (130), into two cases. % 20.77/5.41 |-Branch one: % 20.77/5.41 | (804) all_0_127_127 = e20 % 20.77/5.41 | % 20.77/5.41 | Equations (804) can reduce 126 to: % 20.77/5.41 | (4730) ~ (all_0_128_128 = e20) % 20.77/5.41 | % 20.77/5.41 | Simplifying 4730 yields: % 20.77/5.41 | (231) ~ (all_0_128_128 = e20) % 20.77/5.41 | % 20.77/5.41 | Equations (804) can reduce 246 to: % 20.77/5.41 | (765) ~ (all_0_130_130 = e20) % 20.77/5.41 | % 20.77/5.41 | Simplifying 765 yields: % 20.77/5.41 | (572) ~ (all_0_130_130 = e20) % 20.77/5.41 | % 20.77/5.41 +-Applying beta-rule and splitting (461), into two cases. % 20.77/5.41 |-Branch one: % 20.77/5.41 | (473) all_0_130_130 = e20 % 20.77/5.41 | % 20.77/5.41 | Equations (473) can reduce 572 to: % 20.77/5.41 | (423) $false % 20.77/5.41 | % 20.77/5.41 |-The branch is then unsatisfiable % 20.77/5.41 |-Branch two: % 20.77/5.41 | (572) ~ (all_0_130_130 = e20) % 20.77/5.41 | (652) all_0_134_134 = e20 % 20.77/5.41 | % 20.77/5.41 | Equations (652) can reduce 53 to: % 20.77/5.41 | (572) ~ (all_0_130_130 = e20) % 20.77/5.41 | % 20.77/5.41 | Equations (652) can reduce 26 to: % 20.77/5.41 | (512) ~ (all_0_131_131 = e20) % 20.77/5.41 | % 20.77/5.41 | Equations (652) can reduce 120 to: % 20.77/5.41 | (590) ~ (all_0_133_133 = e20) % 20.77/5.41 | % 20.77/5.41 | Equations (652) can reduce 567 to: % 20.77/5.41 | (465) ~ (e21 = e20) % 20.77/5.41 | % 20.77/5.41 | Simplifying 465 yields: % 20.77/5.41 | (326) ~ (e21 = e20) % 20.77/5.41 | % 20.77/5.41 +-Applying beta-rule and splitting (252), into two cases. % 20.77/5.41 |-Branch one: % 20.77/5.41 | (772) all_0_125_125 = e20 % 20.77/5.41 | % 20.77/5.41 | Equations (772) can reduce 84 to: % 20.77/5.41 | (4744) ~ (all_0_133_133 = e20) % 20.77/5.41 | % 20.77/5.41 | Simplifying 4744 yields: % 20.77/5.41 | (590) ~ (all_0_133_133 = e20) % 20.77/5.41 | % 20.77/5.41 +-Applying beta-rule and splitting (51), into two cases. % 20.77/5.41 |-Branch one: % 20.77/5.41 | (495) all_0_133_133 = e21 % 20.77/5.41 | % 20.77/5.41 | Equations (495) can reduce 418 to: % 20.77/5.41 | (423) $false % 20.77/5.41 | % 20.77/5.41 |-The branch is then unsatisfiable % 20.77/5.41 |-Branch two: % 20.77/5.41 | (418) ~ (all_0_133_133 = e21) % 20.77/5.41 | (498) all_0_133_133 = e23 | all_0_133_133 = e20 % 20.77/5.41 | % 20.77/5.41 +-Applying beta-rule and splitting (498), into two cases. % 20.77/5.41 |-Branch one: % 20.77/5.41 | (511) all_0_133_133 = e20 % 20.77/5.41 | % 20.77/5.41 | Equations (511) can reduce 590 to: % 20.77/5.41 | (423) $false % 20.77/5.41 | % 20.77/5.41 |-The branch is then unsatisfiable % 20.77/5.41 |-Branch two: % 20.77/5.41 | (590) ~ (all_0_133_133 = e20) % 20.77/5.41 | (587) all_0_133_133 = e23 % 20.77/5.41 | % 20.77/5.41 | Equations (587) can reduce 108 to: % 20.77/5.41 | (548) ~ (all_0_131_131 = e23) % 20.77/5.41 | % 20.77/5.41 | Equations (587) can reduce 590 to: % 20.77/5.41 | (276) ~ (e23 = e20) % 20.77/5.41 | % 20.77/5.41 +-Applying beta-rule and splitting (356), into two cases. % 20.77/5.41 |-Branch one: % 20.77/5.41 | (446) all_0_130_130 = e21 % 20.77/5.41 | % 20.77/5.41 | Equations (446) can reduce 395 to: % 20.77/5.41 | (423) $false % 20.77/5.41 | % 20.77/5.41 |-The branch is then unsatisfiable % 20.77/5.41 |-Branch two: % 20.77/5.41 | (395) ~ (all_0_130_130 = e21) % 20.77/5.41 | (4759) all_0_130_130 = e22 | all_0_130_130 = e20 % 20.77/5.41 | % 20.77/5.41 +-Applying beta-rule and splitting (188), into two cases. % 20.77/5.41 |-Branch one: % 20.77/5.41 | (528) all_0_131_131 = e20 % 20.77/5.41 | % 20.77/5.41 | Equations (528) can reduce 512 to: % 20.77/5.41 | (423) $false % 20.77/5.41 | % 20.77/5.41 |-The branch is then unsatisfiable % 20.77/5.41 |-Branch two: % 20.77/5.41 | (512) ~ (all_0_131_131 = e20) % 20.77/5.41 | (4763) all_0_131_131 = e23 | all_0_131_131 = e22 % 20.77/5.41 | % 20.77/5.41 +-Applying beta-rule and splitting (4763), into two cases. % 20.77/5.41 |-Branch one: % 20.77/5.41 | (628) all_0_131_131 = e22 % 20.77/5.41 | % 20.77/5.41 | Equations (628) can reduce 548 to: % 20.77/5.41 | (492) ~ (e23 = e22) % 20.77/5.41 | % 20.77/5.41 | Simplifying 492 yields: % 20.77/5.41 | (28) ~ (e23 = e22) % 20.77/5.41 | % 20.77/5.41 +-Applying beta-rule and splitting (75), into two cases. % 20.77/5.41 |-Branch one: % 20.77/5.41 | (521) all_0_123_123 = e23 % 20.77/5.41 | % 20.77/5.41 | Equations (521) can reduce 62 to: % 20.77/5.41 | (4768) ~ (all_0_124_124 = e23) % 20.77/5.41 | % 20.77/5.41 | Simplifying 4768 yields: % 20.77/5.41 | (540) ~ (all_0_124_124 = e23) % 20.77/5.41 | % 20.77/5.41 +-Applying beta-rule and splitting (185), into two cases. % 20.77/5.41 |-Branch one: % 20.77/5.41 | (487) all_0_124_124 = e21 % 20.77/5.41 | % 20.77/5.41 | Equations (487) can reduce 405 to: % 20.77/5.41 | (423) $false % 20.77/5.41 | % 20.77/5.41 |-The branch is then unsatisfiable % 20.77/5.41 |-Branch two: % 20.77/5.41 | (405) ~ (all_0_124_124 = e21) % 20.77/5.41 | (490) all_0_124_124 = e23 | all_0_124_124 = e22 % 20.77/5.41 | % 20.77/5.41 +-Applying beta-rule and splitting (490), into two cases. % 20.77/5.41 |-Branch one: % 20.77/5.41 | (499) all_0_124_124 = e22 % 20.77/5.41 | % 20.77/5.41 | Equations (499) can reduce 233 to: % 20.77/5.41 | (4775) ~ (all_0_128_128 = e22) % 20.77/5.41 | % 20.77/5.41 | Simplifying 4775 yields: % 20.77/5.41 | (507) ~ (all_0_128_128 = e22) % 20.77/5.41 | % 20.77/5.41 +-Applying beta-rule and splitting (164), into two cases. % 20.77/5.41 |-Branch one: % 20.77/5.41 | (404) all_0_128_128 = e21 % 20.77/5.41 | % 20.77/5.41 | Equations (404) can reduce 733 to: % 20.77/5.41 | (423) $false % 20.77/5.41 | % 20.77/5.41 |-The branch is then unsatisfiable % 20.77/5.41 |-Branch two: % 20.77/5.41 | (733) ~ (all_0_128_128 = e21) % 20.77/5.41 | (798) all_0_128_128 = e23 | all_0_128_128 = e22 % 20.77/5.41 | % 20.77/5.41 +-Applying beta-rule and splitting (798), into two cases. % 20.77/5.41 |-Branch one: % 20.77/5.41 | (503) all_0_128_128 = e22 % 20.77/5.41 | % 20.77/5.41 | Equations (503) can reduce 507 to: % 20.77/5.41 | (423) $false % 20.77/5.41 | % 20.77/5.41 |-The branch is then unsatisfiable % 20.77/5.41 |-Branch two: % 20.77/5.41 | (507) ~ (all_0_128_128 = e22) % 20.77/5.41 | (820) all_0_128_128 = e23 % 20.77/5.41 | % 20.77/5.41 | Equations (820) can reduce 80 to: % 20.77/5.41 | (4785) ~ (all_0_130_130 = e23) % 20.77/5.41 | % 20.77/5.41 | Simplifying 4785 yields: % 20.77/5.41 | (265) ~ (all_0_130_130 = e23) % 20.77/5.41 | % 20.77/5.41 | Equations (820) can reduce 733 to: % 20.77/5.41 | (288) ~ (e23 = e21) % 20.77/5.41 | % 20.77/5.41 | Equations (820) can reduce 231 to: % 20.77/5.41 | (276) ~ (e23 = e20) % 20.77/5.41 | % 20.77/5.41 +-Applying beta-rule and splitting (4759), into two cases. % 20.77/5.41 |-Branch one: % 20.77/5.41 | (473) all_0_130_130 = e20 % 20.77/5.41 | % 20.77/5.41 | Equations (473) can reduce 572 to: % 20.77/5.41 | (423) $false % 20.77/5.41 | % 20.77/5.41 |-The branch is then unsatisfiable % 20.77/5.41 |-Branch two: % 20.77/5.41 | (572) ~ (all_0_130_130 = e20) % 20.77/5.41 | (433) all_0_130_130 = e22 % 20.77/5.41 | % 20.77/5.41 | Equations (433) can reduce 265 to: % 20.77/5.41 | (492) ~ (e23 = e22) % 20.77/5.41 | % 20.77/5.41 | Simplifying 492 yields: % 20.77/5.41 | (28) ~ (e23 = e22) % 20.77/5.41 | % 20.77/5.41 | Equations (433) can reduce 395 to: % 20.77/5.41 | (248) ~ (e22 = e21) % 20.77/5.41 | % 20.77/5.41 | Equations (433) can reduce 572 to: % 20.77/5.41 | (121) ~ (e22 = e20) % 20.77/5.41 | % 20.77/5.41 +-Applying beta-rule and splitting (325), into two cases. % 20.77/5.41 |-Branch one: % 20.77/5.41 | (528) all_0_131_131 = e20 % 20.77/5.41 | % 20.77/5.41 | Combining equations (628,528) yields a new equation: % 20.77/5.41 | (780) e22 = e20 % 20.77/5.41 | % 20.77/5.41 | Simplifying 780 yields: % 20.77/5.41 | (429) e22 = e20 % 20.77/5.41 | % 20.77/5.41 | Equations (429) can reduce 121 to: % 20.77/5.41 | (423) $false % 20.77/5.41 | % 20.77/5.41 |-The branch is then unsatisfiable % 20.77/5.41 |-Branch two: % 20.77/5.41 | (512) ~ (all_0_131_131 = e20) % 20.77/5.41 | (533) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) | (all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_133_133 = e20 & ~ (all_0_127_127 = e23) & ~ (all_0_128_128 = e22) & ~ (all_0_129_129 = e21) & ~ (all_0_130_130 = e20) & ~ (all_0_134_134 = e21)) | ( ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) % 20.77/5.41 | % 20.77/5.41 +-Applying beta-rule and splitting (533), into two cases. % 20.77/5.41 |-Branch one: % 20.77/5.41 | (534) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) | (all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_133_133 = e20 & ~ (all_0_127_127 = e23) & ~ (all_0_128_128 = e22) & ~ (all_0_129_129 = e21) & ~ (all_0_130_130 = e20) & ~ (all_0_134_134 = e21)) % 20.77/5.41 | % 20.77/5.41 +-Applying beta-rule and splitting (534), into two cases. % 20.77/5.41 |-Branch one: % 20.77/5.41 | (535) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) | (all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) % 20.77/5.41 | % 20.77/5.41 +-Applying beta-rule and splitting (535), into two cases. % 20.77/5.41 |-Branch one: % 20.77/5.41 | (536) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) % 20.77/5.41 | % 20.77/5.41 +-Applying beta-rule and splitting (536), into two cases. % 20.77/5.41 |-Branch one: % 20.77/5.41 | (537) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) % 20.77/5.41 | % 20.77/5.41 +-Applying beta-rule and splitting (537), into two cases. % 20.77/5.41 |-Branch one: % 20.77/5.41 | (538) all_0_123_123 = e22 & ~ (all_0_124_124 = e23) % 20.77/5.41 | % 20.77/5.41 | Applying alpha-rule on (538) yields: % 20.77/5.41 | (539) all_0_123_123 = e22 % 20.77/5.41 | (540) ~ (all_0_124_124 = e23) % 20.77/5.41 | % 20.77/5.41 | Combining equations (539,521) yields a new equation: % 20.77/5.41 | (584) e23 = e22 % 20.77/5.41 | % 20.77/5.41 | Equations (584) can reduce 28 to: % 20.77/5.41 | (423) $false % 20.77/5.41 | % 20.77/5.41 |-The branch is then unsatisfiable % 20.77/5.41 |-Branch two: % 20.77/5.41 | (543) all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20) % 20.77/5.41 | % 20.77/5.42 | Applying alpha-rule on (543) yields: % 20.77/5.42 | (428) all_0_126_126 = e22 % 20.77/5.42 | (545) ~ (all_0_132_132 = e22) % 20.77/5.42 | (418) ~ (all_0_133_133 = e21) % 20.77/5.42 | (547) ~ (all_0_134_134 = e20) % 20.77/5.42 | (548) ~ (all_0_131_131 = e23) % 20.77/5.42 | % 20.77/5.42 | Combining equations (422,428) yields a new equation: % 20.77/5.42 | (447) e22 = e21 % 20.77/5.42 | % 20.77/5.42 | Equations (447) can reduce 248 to: % 20.77/5.42 | (423) $false % 20.77/5.42 | % 20.77/5.42 |-The branch is then unsatisfiable % 20.77/5.42 |-Branch two: % 20.77/5.42 | (550) all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20) % 20.77/5.42 | % 20.77/5.42 | Applying alpha-rule on (550) yields: % 20.77/5.42 | (471) ~ (all_0_124_124 = e22) % 20.77/5.42 | (404) all_0_128_128 = e21 % 20.77/5.42 | (553) ~ (all_0_125_125 = e21) % 20.77/5.42 | (460) ~ (all_0_126_126 = e20) % 20.77/5.42 | (524) ~ (all_0_123_123 = e23) % 20.77/5.42 | % 20.77/5.42 | Combining equations (820,404) yields a new equation: % 20.77/5.42 | (4650) e23 = e21 % 20.77/5.42 | % 20.77/5.42 | Simplifying 4650 yields: % 20.77/5.42 | (4651) e23 = e21 % 20.77/5.42 | % 20.77/5.42 | Equations (4651) can reduce 288 to: % 20.77/5.42 | (423) $false % 20.77/5.42 | % 20.77/5.42 |-The branch is then unsatisfiable % 20.77/5.42 |-Branch two: % 20.77/5.42 | (557) all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20) % 20.77/5.42 | % 20.77/5.42 | Applying alpha-rule on (557) yields: % 20.77/5.42 | (545) ~ (all_0_132_132 = e22) % 20.77/5.42 | (418) ~ (all_0_133_133 = e21) % 20.77/5.42 | (547) ~ (all_0_134_134 = e20) % 20.77/5.42 | (474) ~ (all_0_129_129 = e20) % 20.77/5.42 | (446) all_0_130_130 = e21 % 20.77/5.42 | (548) ~ (all_0_131_131 = e23) % 20.77/5.42 | % 20.77/5.42 | Combining equations (433,446) yields a new equation: % 20.77/5.42 | (457) e22 = e21 % 20.77/5.42 | % 20.77/5.42 | Simplifying 457 yields: % 20.77/5.42 | (447) e22 = e21 % 20.77/5.42 | % 20.77/5.42 | Equations (447) can reduce 248 to: % 20.77/5.42 | (423) $false % 20.77/5.42 | % 20.77/5.42 |-The branch is then unsatisfiable % 20.77/5.42 |-Branch two: % 20.77/5.42 | (566) all_0_133_133 = e20 & ~ (all_0_127_127 = e23) & ~ (all_0_128_128 = e22) & ~ (all_0_129_129 = e21) & ~ (all_0_130_130 = e20) & ~ (all_0_134_134 = e21) % 20.77/5.42 | % 20.77/5.42 | Applying alpha-rule on (566) yields: % 20.77/5.42 | (567) ~ (all_0_134_134 = e21) % 20.77/5.42 | (511) all_0_133_133 = e20 % 20.77/5.42 | (416) ~ (all_0_129_129 = e21) % 20.77/5.42 | (483) ~ (all_0_127_127 = e23) % 20.77/5.42 | (507) ~ (all_0_128_128 = e22) % 20.77/5.42 | (572) ~ (all_0_130_130 = e20) % 20.77/5.42 | % 20.77/5.42 | Combining equations (587,511) yields a new equation: % 20.77/5.42 | (529) e23 = e20 % 20.77/5.42 | % 20.77/5.42 | Simplifying 529 yields: % 20.77/5.42 | (522) e23 = e20 % 20.77/5.42 | % 20.77/5.42 | Equations (522) can reduce 276 to: % 20.77/5.42 | (423) $false % 20.77/5.42 | % 20.77/5.42 |-The branch is then unsatisfiable % 20.77/5.42 |-Branch two: % 20.77/5.42 | (574) ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20) % 20.77/5.42 | % 20.77/5.42 | Applying alpha-rule on (574) yields: % 20.77/5.42 | (548) ~ (all_0_131_131 = e23) % 20.77/5.42 | (545) ~ (all_0_132_132 = e22) % 20.77/5.42 | (418) ~ (all_0_133_133 = e21) % 20.77/5.42 | (547) ~ (all_0_134_134 = e20) % 20.77/5.42 | % 20.77/5.42 | Equations (652) can reduce 547 to: % 20.77/5.42 | (423) $false % 20.77/5.42 | % 20.77/5.42 |-The branch is then unsatisfiable % 20.77/5.42 |-Branch two: % 20.77/5.42 | (471) ~ (all_0_124_124 = e22) % 20.77/5.42 | (618) all_0_124_124 = e23 % 20.77/5.42 | % 20.77/5.42 | Equations (618) can reduce 540 to: % 20.77/5.42 | (423) $false % 20.77/5.42 | % 20.77/5.42 |-The branch is then unsatisfiable % 20.77/5.42 |-Branch two: % 20.77/5.42 | (524) ~ (all_0_123_123 = e23) % 20.77/5.42 | (932) all_0_127_127 = e23 | all_0_131_131 = e23 % 20.77/5.42 | % 20.77/5.42 +-Applying beta-rule and splitting (932), into two cases. % 20.77/5.42 |-Branch one: % 20.77/5.42 | (933) all_0_127_127 = e23 % 20.77/5.42 | % 20.77/5.42 | Combining equations (933,804) yields a new equation: % 20.77/5.42 | (529) e23 = e20 % 20.77/5.42 | % 20.77/5.42 | Simplifying 529 yields: % 20.77/5.42 | (522) e23 = e20 % 20.77/5.42 | % 20.77/5.42 | Equations (522) can reduce 276 to: % 20.77/5.42 | (423) $false % 20.77/5.42 | % 20.77/5.42 |-The branch is then unsatisfiable % 20.77/5.42 |-Branch two: % 20.77/5.42 | (483) ~ (all_0_127_127 = e23) % 20.77/5.42 | (519) all_0_131_131 = e23 % 20.77/5.42 | % 20.77/5.42 | Combining equations (628,519) yields a new equation: % 20.77/5.42 | (584) e23 = e22 % 20.77/5.42 | % 20.77/5.42 | Equations (584) can reduce 28 to: % 20.77/5.42 | (423) $false % 20.77/5.42 | % 20.77/5.42 |-The branch is then unsatisfiable % 20.77/5.42 |-Branch two: % 20.77/5.42 | (4868) ~ (all_0_131_131 = e22) % 20.77/5.42 | (519) all_0_131_131 = e23 % 20.77/5.42 | % 20.77/5.42 | Equations (519) can reduce 548 to: % 20.77/5.42 | (423) $false % 20.77/5.42 | % 20.77/5.42 |-The branch is then unsatisfiable % 20.77/5.42 |-Branch two: % 20.77/5.42 | (764) ~ (all_0_125_125 = e20) % 20.77/5.42 | (4872) all_0_129_129 = e20 | all_0_133_133 = e20 % 20.77/5.42 | % 20.77/5.42 +-Applying beta-rule and splitting (51), into two cases. % 20.77/5.42 |-Branch one: % 20.77/5.42 | (495) all_0_133_133 = e21 % 20.77/5.42 | % 20.77/5.42 | Equations (495) can reduce 418 to: % 20.77/5.42 | (423) $false % 20.77/5.42 | % 20.77/5.42 |-The branch is then unsatisfiable % 20.77/5.42 |-Branch two: % 20.77/5.42 | (418) ~ (all_0_133_133 = e21) % 20.77/5.42 | (498) all_0_133_133 = e23 | all_0_133_133 = e20 % 20.77/5.42 | % 20.77/5.42 +-Applying beta-rule and splitting (498), into two cases. % 20.77/5.42 |-Branch one: % 20.77/5.42 | (511) all_0_133_133 = e20 % 20.77/5.42 | % 20.77/5.42 | Equations (511) can reduce 590 to: % 20.77/5.42 | (423) $false % 20.77/5.42 | % 20.77/5.42 |-The branch is then unsatisfiable % 20.77/5.42 |-Branch two: % 20.77/5.42 | (590) ~ (all_0_133_133 = e20) % 20.77/5.42 | (587) all_0_133_133 = e23 % 20.77/5.42 | % 20.77/5.42 | Equations (587) can reduce 590 to: % 20.77/5.42 | (276) ~ (e23 = e20) % 20.77/5.42 | % 20.77/5.42 +-Applying beta-rule and splitting (4872), into two cases. % 20.77/5.42 |-Branch one: % 20.77/5.42 | (479) all_0_129_129 = e20 % 20.77/5.42 | % 20.77/5.42 | Combining equations (475,479) yields a new equation: % 20.77/5.42 | (2781) e21 = e20 % 20.77/5.42 | % 20.77/5.42 | Simplifying 2781 yields: % 20.77/5.42 | (564) e21 = e20 % 20.77/5.42 | % 20.77/5.42 | Equations (564) can reduce 326 to: % 20.77/5.42 | (423) $false % 20.77/5.42 | % 20.77/5.42 |-The branch is then unsatisfiable % 20.77/5.42 |-Branch two: % 20.77/5.42 | (474) ~ (all_0_129_129 = e20) % 20.77/5.42 | (511) all_0_133_133 = e20 % 20.77/5.42 | % 20.77/5.42 | Combining equations (587,511) yields a new equation: % 20.77/5.42 | (529) e23 = e20 % 20.77/5.42 | % 20.77/5.42 | Simplifying 529 yields: % 20.77/5.42 | (522) e23 = e20 % 20.77/5.42 | % 20.77/5.42 | Equations (522) can reduce 276 to: % 20.77/5.42 | (423) $false % 20.77/5.42 | % 20.77/5.42 |-The branch is then unsatisfiable % 20.77/5.42 |-Branch two: % 20.77/5.42 | (849) ~ (all_0_127_127 = e20) % 20.77/5.42 | (850) all_0_129_129 = e20 | all_0_130_130 = e20 % 20.77/5.42 | % 20.77/5.42 +-Applying beta-rule and splitting (850), into two cases. % 20.77/5.42 |-Branch one: % 20.77/5.42 | (479) all_0_129_129 = e20 % 20.77/5.42 | % 20.77/5.42 | Combining equations (479,475) yields a new equation: % 20.77/5.42 | (564) e21 = e20 % 20.77/5.42 | % 20.77/5.42 | Equations (564) can reduce 326 to: % 20.77/5.42 | (423) $false % 20.77/5.42 | % 20.77/5.42 |-The branch is then unsatisfiable % 20.77/5.42 |-Branch two: % 20.77/5.42 | (474) ~ (all_0_129_129 = e20) % 20.77/5.42 | (473) all_0_130_130 = e20 % 20.77/5.42 | % 20.77/5.42 | Equations (473) can reduce 53 to: % 20.77/5.42 | (4898) ~ (all_0_134_134 = e20) % 20.77/5.42 | % 20.77/5.42 | Simplifying 4898 yields: % 20.77/5.42 | (547) ~ (all_0_134_134 = e20) % 20.77/5.42 | % 20.77/5.42 | Equations (473) can reduce 265 to: % 20.77/5.42 | (513) ~ (e23 = e20) % 20.77/5.42 | % 20.77/5.42 | Simplifying 513 yields: % 20.77/5.42 | (276) ~ (e23 = e20) % 20.77/5.42 | % 20.77/5.42 | From (473) and (57) follows: % 20.77/5.42 | (874) op2(e20, e21) = all_0_109_109 % 20.77/5.42 | % 20.77/5.42 +-Applying beta-rule and splitting (4691), into two cases. % 20.77/5.42 |-Branch one: % 20.77/5.42 | (652) all_0_134_134 = e20 % 20.77/5.42 | % 20.77/5.42 | Equations (652) can reduce 547 to: % 20.77/5.42 | (423) $false % 20.77/5.42 | % 20.77/5.42 |-The branch is then unsatisfiable % 20.77/5.42 |-Branch two: % 20.77/5.42 | (547) ~ (all_0_134_134 = e20) % 20.77/5.42 | (452) all_0_134_134 = e22 % 20.77/5.42 | % 20.77/5.42 | Equations (452) can reduce 26 to: % 20.77/5.42 | (4868) ~ (all_0_131_131 = e22) % 20.77/5.42 | % 20.77/5.42 | Equations (452) can reduce 567 to: % 20.77/5.42 | (248) ~ (e22 = e21) % 20.77/5.42 | % 20.77/5.42 | From (452) and (16) follows: % 20.77/5.42 | (4909) op2(e22, e20) = all_0_110_110 % 20.77/5.42 | % 20.77/5.42 | Instantiating formula (3) with e22, e20, all_0_110_110, e21 and discharging atoms op2(e22, e20) = all_0_110_110, op2(e22, e20) = e21, yields: % 20.77/5.42 | (4910) all_0_110_110 = e21 % 20.77/5.42 | % 20.77/5.42 | Instantiating formula (3) with e20, e21, all_0_109_109, all_0_133_133 and discharging atoms op2(e20, e21) = all_0_109_109, op2(e20, e21) = all_0_133_133, yields: % 20.77/5.42 | (881) all_0_109_109 = all_0_133_133 % 20.77/5.42 | % 20.77/5.42 +-Applying beta-rule and splitting (251), into two cases. % 20.77/5.42 |-Branch one: % 20.77/5.42 | (439) all_0_108_108 = all_0_126_126 % 20.77/5.42 | % 20.77/5.42 | Combining equations (4722,439) yields a new equation: % 20.77/5.42 | (4913) all_0_126_126 = all_0_128_128 % 20.77/5.42 | % 20.77/5.42 | Combining equations (422,4913) yields a new equation: % 20.77/5.42 | (404) all_0_128_128 = e21 % 20.77/5.42 | % 20.77/5.42 | Equations (404) can reduce 733 to: % 20.77/5.42 | (423) $false % 20.77/5.42 | % 20.77/5.42 |-The branch is then unsatisfiable % 20.77/5.42 |-Branch two: % 20.77/5.42 | (443) ~ (all_0_108_108 = all_0_126_126) % 20.77/5.42 | (444) all_0_109_109 = all_0_130_130 | all_0_110_110 = all_0_134_134 % 20.77/5.42 | % 20.77/5.42 | Equations (4722,422) can reduce 443 to: % 20.77/5.42 | (733) ~ (all_0_128_128 = e21) % 20.77/5.42 | % 20.77/5.42 +-Applying beta-rule and splitting (444), into two cases. % 20.77/5.42 |-Branch one: % 20.77/5.42 | (445) all_0_109_109 = all_0_130_130 % 20.77/5.42 | % 20.77/5.42 | Combining equations (881,445) yields a new equation: % 20.77/5.42 | (890) all_0_130_130 = all_0_133_133 % 20.77/5.42 | % 20.77/5.42 | Combining equations (890,473) yields a new equation: % 20.77/5.42 | (891) all_0_133_133 = e20 % 20.77/5.42 | % 20.77/5.42 | Simplifying 891 yields: % 20.77/5.42 | (511) all_0_133_133 = e20 % 20.77/5.42 | % 20.77/5.42 | Equations (511) can reduce 84 to: % 20.77/5.42 | (764) ~ (all_0_125_125 = e20) % 20.77/5.42 | % 20.77/5.42 | Equations (511) can reduce 418 to: % 20.77/5.42 | (465) ~ (e21 = e20) % 20.77/5.42 | % 20.77/5.42 | Simplifying 465 yields: % 20.77/5.42 | (326) ~ (e21 = e20) % 20.77/5.42 | % 20.77/5.42 +-Applying beta-rule and splitting (362), into two cases. % 20.77/5.42 |-Branch one: % 20.77/5.42 | (462) all_0_123_123 = e20 % 20.77/5.42 | % 20.77/5.42 | Equations (462) can reduce 62 to: % 20.77/5.42 | (4927) ~ (all_0_124_124 = e20) % 20.77/5.42 | % 20.77/5.42 | Simplifying 4927 yields: % 20.77/5.42 | (217) ~ (all_0_124_124 = e20) % 20.77/5.42 | % 20.77/5.42 | Equations (462) can reduce 211 to: % 20.77/5.42 | (4929) ~ (all_0_125_125 = e20) % 20.77/5.42 | % 20.77/5.42 | Simplifying 4929 yields: % 20.77/5.42 | (764) ~ (all_0_125_125 = e20) % 20.77/5.42 | % 20.77/5.42 | Equations (462) can reduce 304 to: % 20.77/5.42 | (4931) ~ (all_0_127_127 = e20) % 20.77/5.42 | % 20.77/5.42 | Simplifying 4931 yields: % 20.77/5.42 | (849) ~ (all_0_127_127 = e20) % 20.77/5.42 | % 20.77/5.42 | Equations (462) can reduce 208 to: % 20.77/5.42 | (897) ~ (all_0_131_131 = e20) % 20.77/5.42 | % 20.77/5.42 | Simplifying 897 yields: % 20.77/5.42 | (512) ~ (all_0_131_131 = e20) % 20.77/5.42 | % 20.77/5.42 | Equations (462) can reduce 353 to: % 20.77/5.42 | (465) ~ (e21 = e20) % 20.77/5.42 | % 20.77/5.42 | Simplifying 465 yields: % 20.77/5.42 | (326) ~ (e21 = e20) % 20.77/5.42 | % 20.77/5.42 +-Applying beta-rule and splitting (158), into two cases. % 20.77/5.42 |-Branch one: % 20.77/5.42 | (775) all_0_125_125 = e23 % 20.77/5.42 | % 20.77/5.42 | Equations (775) can reduce 323 to: % 20.77/5.42 | (540) ~ (all_0_124_124 = e23) % 20.77/5.42 | % 20.77/5.42 | Equations (775) can reduce 553 to: % 20.77/5.42 | (288) ~ (e23 = e21) % 20.77/5.42 | % 20.77/5.42 | Equations (775) can reduce 764 to: % 20.77/5.42 | (276) ~ (e23 = e20) % 20.77/5.42 | % 20.77/5.42 +-Applying beta-rule and splitting (185), into two cases. % 20.77/5.42 |-Branch one: % 20.77/5.42 | (487) all_0_124_124 = e21 % 20.77/5.42 | % 20.77/5.42 | Equations (487) can reduce 405 to: % 20.77/5.42 | (423) $false % 20.77/5.42 | % 20.77/5.42 |-The branch is then unsatisfiable % 20.77/5.42 |-Branch two: % 20.77/5.42 | (405) ~ (all_0_124_124 = e21) % 20.77/5.42 | (490) all_0_124_124 = e23 | all_0_124_124 = e22 % 20.77/5.42 | % 20.77/5.42 +-Applying beta-rule and splitting (490), into two cases. % 20.77/5.42 |-Branch one: % 20.77/5.42 | (499) all_0_124_124 = e22 % 20.77/5.42 | % 20.77/5.42 | Equations (499) can reduce 217 to: % 20.77/5.42 | (121) ~ (e22 = e20) % 20.77/5.42 | % 20.77/5.42 +-Applying beta-rule and splitting (42), into two cases. % 20.77/5.42 |-Branch one: % 20.77/5.42 | (519) all_0_131_131 = e23 % 20.77/5.42 | % 20.77/5.43 | Equations (519) can reduce 4868 to: % 20.77/5.43 | (28) ~ (e23 = e22) % 20.77/5.43 | % 20.77/5.43 | Equations (519) can reduce 512 to: % 20.77/5.43 | (276) ~ (e23 = e20) % 20.77/5.43 | % 20.77/5.43 +-Applying beta-rule and splitting (174), into two cases. % 20.77/5.43 |-Branch one: % 20.77/5.43 | (804) all_0_127_127 = e20 % 20.77/5.43 | % 20.77/5.43 | Equations (804) can reduce 849 to: % 20.77/5.43 | (423) $false % 20.77/5.43 | % 20.77/5.43 |-The branch is then unsatisfiable % 20.77/5.43 |-Branch two: % 20.77/5.43 | (849) ~ (all_0_127_127 = e20) % 20.77/5.43 | (4953) all_0_127_127 = e23 | all_0_127_127 = e22 % 20.77/5.43 | % 20.77/5.43 +-Applying beta-rule and splitting (308), into two cases. % 20.77/5.43 |-Branch one: % 20.77/5.43 | (539) all_0_123_123 = e22 % 20.77/5.43 | % 20.77/5.43 | Combining equations (462,539) yields a new equation: % 20.77/5.43 | (429) e22 = e20 % 20.77/5.43 | % 20.77/5.43 | Equations (429) can reduce 121 to: % 20.77/5.43 | (423) $false % 20.77/5.43 | % 20.77/5.43 |-The branch is then unsatisfiable % 20.77/5.43 |-Branch two: % 20.77/5.43 | (623) ~ (all_0_123_123 = e22) % 20.77/5.43 | (624) all_0_127_127 = e22 | all_0_131_131 = e22 % 20.77/5.43 | % 20.77/5.43 +-Applying beta-rule and splitting (278), into two cases. % 20.77/5.43 |-Branch one: % 20.77/5.43 | (618) all_0_124_124 = e23 % 20.77/5.43 | % 20.77/5.43 | Combining equations (499,618) yields a new equation: % 20.77/5.43 | (584) e23 = e22 % 20.77/5.43 | % 20.77/5.43 | Equations (584) can reduce 28 to: % 20.77/5.43 | (423) $false % 20.77/5.43 | % 20.77/5.43 |-The branch is then unsatisfiable % 20.77/5.43 |-Branch two: % 20.77/5.43 | (540) ~ (all_0_124_124 = e23) % 20.77/5.43 | (633) all_0_128_128 = e23 | all_0_132_132 = e23 % 20.77/5.43 | % 20.77/5.43 | Equations (499) can reduce 540 to: % 20.77/5.43 | (492) ~ (e23 = e22) % 20.77/5.43 | % 20.77/5.43 | Simplifying 492 yields: % 20.77/5.43 | (28) ~ (e23 = e22) % 20.77/5.43 | % 20.77/5.43 +-Applying beta-rule and splitting (624), into two cases. % 20.77/5.43 |-Branch one: % 20.77/5.43 | (491) all_0_127_127 = e22 % 20.77/5.43 | % 20.77/5.43 | Equations (491) can reduce 329 to: % 20.77/5.43 | (248) ~ (e22 = e21) % 20.77/5.43 | % 20.77/5.43 | Equations (491) can reduce 849 to: % 20.77/5.43 | (121) ~ (e22 = e20) % 20.77/5.43 | % 20.77/5.43 +-Applying beta-rule and splitting (164), into two cases. % 20.77/5.43 |-Branch one: % 20.77/5.43 | (404) all_0_128_128 = e21 % 20.77/5.43 | % 20.77/5.43 | Equations (404) can reduce 733 to: % 20.77/5.43 | (423) $false % 20.77/5.43 | % 20.77/5.43 |-The branch is then unsatisfiable % 20.77/5.43 |-Branch two: % 20.77/5.43 | (733) ~ (all_0_128_128 = e21) % 20.77/5.43 | (798) all_0_128_128 = e23 | all_0_128_128 = e22 % 20.77/5.43 | % 20.77/5.43 +-Applying beta-rule and splitting (325), into two cases. % 20.77/5.43 |-Branch one: % 20.77/5.43 | (528) all_0_131_131 = e20 % 20.77/5.43 | % 20.77/5.43 | Combining equations (528,519) yields a new equation: % 20.77/5.43 | (522) e23 = e20 % 20.77/5.43 | % 20.77/5.43 | Equations (522) can reduce 276 to: % 20.77/5.43 | (423) $false % 20.77/5.43 | % 20.77/5.43 |-The branch is then unsatisfiable % 20.77/5.43 |-Branch two: % 20.77/5.43 | (512) ~ (all_0_131_131 = e20) % 20.77/5.43 | (533) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) | (all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_133_133 = e20 & ~ (all_0_127_127 = e23) & ~ (all_0_128_128 = e22) & ~ (all_0_129_129 = e21) & ~ (all_0_130_130 = e20) & ~ (all_0_134_134 = e21)) | ( ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) % 20.77/5.43 | % 20.77/5.43 +-Applying beta-rule and splitting (533), into two cases. % 20.77/5.43 |-Branch one: % 20.77/5.43 | (534) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) | (all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_133_133 = e20 & ~ (all_0_127_127 = e23) & ~ (all_0_128_128 = e22) & ~ (all_0_129_129 = e21) & ~ (all_0_130_130 = e20) & ~ (all_0_134_134 = e21)) % 20.77/5.43 | % 20.77/5.43 +-Applying beta-rule and splitting (534), into two cases. % 20.77/5.43 |-Branch one: % 20.77/5.43 | (535) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) | (all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) % 20.77/5.43 | % 20.77/5.43 +-Applying beta-rule and splitting (535), into two cases. % 20.77/5.43 |-Branch one: % 20.77/5.43 | (536) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) % 20.77/5.43 | % 20.77/5.43 +-Applying beta-rule and splitting (536), into two cases. % 20.77/5.43 |-Branch one: % 20.77/5.43 | (537) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) % 20.77/5.43 | % 20.77/5.43 +-Applying beta-rule and splitting (537), into two cases. % 20.77/5.43 |-Branch one: % 20.77/5.43 | (538) all_0_123_123 = e22 & ~ (all_0_124_124 = e23) % 20.77/5.43 | % 20.77/5.43 | Applying alpha-rule on (538) yields: % 20.77/5.43 | (539) all_0_123_123 = e22 % 20.77/5.43 | (540) ~ (all_0_124_124 = e23) % 20.77/5.43 | % 20.77/5.43 | Combining equations (462,539) yields a new equation: % 20.77/5.43 | (429) e22 = e20 % 20.77/5.43 | % 20.77/5.43 | Equations (429) can reduce 121 to: % 20.77/5.43 | (423) $false % 20.77/5.43 | % 20.77/5.43 |-The branch is then unsatisfiable % 20.77/5.43 |-Branch two: % 20.77/5.43 | (543) all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20) % 20.77/5.43 | % 20.77/5.43 | Applying alpha-rule on (543) yields: % 20.77/5.43 | (428) all_0_126_126 = e22 % 20.77/5.43 | (545) ~ (all_0_132_132 = e22) % 20.77/5.43 | (418) ~ (all_0_133_133 = e21) % 20.77/5.43 | (547) ~ (all_0_134_134 = e20) % 20.77/5.43 | (548) ~ (all_0_131_131 = e23) % 20.77/5.43 | % 20.77/5.43 | Combining equations (422,428) yields a new equation: % 20.77/5.43 | (447) e22 = e21 % 20.77/5.43 | % 20.77/5.43 | Equations (447) can reduce 248 to: % 20.77/5.43 | (423) $false % 20.77/5.43 | % 20.77/5.43 |-The branch is then unsatisfiable % 20.77/5.43 |-Branch two: % 20.77/5.43 | (550) all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20) % 20.77/5.43 | % 20.77/5.43 | Applying alpha-rule on (550) yields: % 20.77/5.43 | (471) ~ (all_0_124_124 = e22) % 20.77/5.43 | (404) all_0_128_128 = e21 % 20.77/5.43 | (553) ~ (all_0_125_125 = e21) % 20.77/5.43 | (460) ~ (all_0_126_126 = e20) % 20.77/5.43 | (524) ~ (all_0_123_123 = e23) % 20.77/5.43 | % 20.77/5.43 | Equations (404) can reduce 733 to: % 20.77/5.43 | (423) $false % 20.77/5.43 | % 20.77/5.43 |-The branch is then unsatisfiable % 20.77/5.43 |-Branch two: % 20.77/5.43 | (557) all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20) % 20.77/5.43 | % 20.77/5.43 | Applying alpha-rule on (557) yields: % 20.77/5.43 | (545) ~ (all_0_132_132 = e22) % 20.77/5.43 | (418) ~ (all_0_133_133 = e21) % 20.77/5.43 | (547) ~ (all_0_134_134 = e20) % 20.77/5.43 | (474) ~ (all_0_129_129 = e20) % 20.77/5.43 | (446) all_0_130_130 = e21 % 20.77/5.43 | (548) ~ (all_0_131_131 = e23) % 20.77/5.43 | % 20.77/5.43 | Combining equations (473,446) yields a new equation: % 20.77/5.43 | (564) e21 = e20 % 20.77/5.43 | % 20.77/5.43 | Equations (564) can reduce 326 to: % 20.77/5.43 | (423) $false % 20.77/5.43 | % 20.77/5.43 |-The branch is then unsatisfiable % 20.77/5.43 |-Branch two: % 20.77/5.43 | (566) all_0_133_133 = e20 & ~ (all_0_127_127 = e23) & ~ (all_0_128_128 = e22) & ~ (all_0_129_129 = e21) & ~ (all_0_130_130 = e20) & ~ (all_0_134_134 = e21) % 20.77/5.43 | % 20.77/5.43 | Applying alpha-rule on (566) yields: % 20.77/5.43 | (567) ~ (all_0_134_134 = e21) % 20.77/5.43 | (511) all_0_133_133 = e20 % 20.77/5.43 | (416) ~ (all_0_129_129 = e21) % 20.77/5.43 | (483) ~ (all_0_127_127 = e23) % 20.77/5.43 | (507) ~ (all_0_128_128 = e22) % 20.77/5.43 | (572) ~ (all_0_130_130 = e20) % 20.77/5.43 | % 20.77/5.43 | Equations (473) can reduce 572 to: % 20.77/5.43 | (423) $false % 20.77/5.43 | % 20.77/5.43 |-The branch is then unsatisfiable % 20.77/5.43 |-Branch two: % 20.77/5.43 | (574) ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20) % 20.77/5.43 | % 20.77/5.43 | Applying alpha-rule on (574) yields: % 20.77/5.43 | (548) ~ (all_0_131_131 = e23) % 20.77/5.43 | (545) ~ (all_0_132_132 = e22) % 20.77/5.43 | (418) ~ (all_0_133_133 = e21) % 20.77/5.43 | (547) ~ (all_0_134_134 = e20) % 20.77/5.43 | % 20.77/5.43 | Equations (519) can reduce 548 to: % 20.77/5.43 | (423) $false % 20.77/5.43 | % 20.77/5.43 |-The branch is then unsatisfiable % 20.77/5.43 |-Branch two: % 20.77/5.43 | (593) ~ (all_0_127_127 = e22) % 20.77/5.43 | (628) all_0_131_131 = e22 % 20.77/5.43 | % 20.77/5.43 | Combining equations (628,519) yields a new equation: % 20.77/5.43 | (584) e23 = e22 % 20.77/5.43 | % 20.77/5.43 | Equations (584) can reduce 28 to: % 20.77/5.43 | (423) $false % 20.77/5.43 | % 20.77/5.43 |-The branch is then unsatisfiable % 20.77/5.43 |-Branch two: % 20.77/5.43 | (548) ~ (all_0_131_131 = e23) % 20.77/5.43 | (581) all_0_132_132 = e23 | all_0_133_133 = e23 % 20.77/5.43 | % 20.77/5.43 +-Applying beta-rule and splitting (581), into two cases. % 20.77/5.43 |-Branch one: % 20.77/5.43 | (582) all_0_132_132 = e23 % 20.77/5.43 | % 20.77/5.43 | Combining equations (924,582) yields a new equation: % 20.77/5.43 | (4651) e23 = e21 % 20.77/5.43 | % 20.77/5.43 | Equations (4651) can reduce 288 to: % 20.77/5.43 | (423) $false % 20.77/5.43 | % 20.77/5.43 |-The branch is then unsatisfiable % 20.77/5.43 |-Branch two: % 20.77/5.43 | (586) ~ (all_0_132_132 = e23) % 20.77/5.43 | (587) all_0_133_133 = e23 % 20.77/5.43 | % 20.77/5.43 | Combining equations (587,511) yields a new equation: % 20.77/5.43 | (529) e23 = e20 % 20.77/5.43 | % 20.77/5.43 | Simplifying 529 yields: % 20.77/5.43 | (522) e23 = e20 % 20.77/5.43 | % 20.77/5.43 | Equations (522) can reduce 276 to: % 20.77/5.43 | (423) $false % 20.77/5.43 | % 20.77/5.43 |-The branch is then unsatisfiable % 20.77/5.43 |-Branch two: % 20.77/5.43 | (471) ~ (all_0_124_124 = e22) % 20.77/5.43 | (618) all_0_124_124 = e23 % 20.77/5.43 | % 20.77/5.43 | Equations (618) can reduce 540 to: % 20.77/5.43 | (423) $false % 20.77/5.43 | % 20.77/5.43 |-The branch is then unsatisfiable % 20.77/5.43 |-Branch two: % 20.77/5.43 | (4647) ~ (all_0_125_125 = e23) % 20.77/5.43 | (4648) all_0_129_129 = e23 | all_0_133_133 = e23 % 20.77/5.43 | % 20.77/5.43 +-Applying beta-rule and splitting (4648), into two cases. % 20.77/5.43 |-Branch one: % 20.77/5.43 | (482) all_0_129_129 = e23 % 20.77/5.43 | % 20.77/5.43 | Combining equations (475,482) yields a new equation: % 20.77/5.43 | (4651) e23 = e21 % 20.77/5.43 | % 20.77/5.43 | Equations (4651) can reduce 288 to: % 20.77/5.43 | (423) $false % 20.77/5.43 | % 20.77/5.43 |-The branch is then unsatisfiable % 20.77/5.43 |-Branch two: % 20.77/5.43 | (4653) ~ (all_0_129_129 = e23) % 20.77/5.43 | (587) all_0_133_133 = e23 % 20.77/5.43 | % 20.77/5.43 | Combining equations (511,587) yields a new equation: % 20.77/5.43 | (522) e23 = e20 % 20.77/5.43 | % 20.77/5.43 | Equations (522) can reduce 276 to: % 20.77/5.43 | (423) $false % 20.77/5.43 | % 20.77/5.43 |-The branch is then unsatisfiable % 20.77/5.43 |-Branch two: % 20.77/5.43 | (655) ~ (all_0_123_123 = e20) % 20.77/5.43 | (656) all_0_125_125 = e20 | all_0_126_126 = e20 % 20.77/5.43 | % 20.77/5.43 +-Applying beta-rule and splitting (656), into two cases. % 20.77/5.43 |-Branch one: % 20.77/5.43 | (772) all_0_125_125 = e20 % 20.77/5.43 | % 20.77/5.43 | Equations (772) can reduce 764 to: % 20.77/5.43 | (423) $false % 20.77/5.43 | % 20.77/5.43 |-The branch is then unsatisfiable % 20.77/5.43 |-Branch two: % 20.77/5.43 | (764) ~ (all_0_125_125 = e20) % 20.77/5.43 | (426) all_0_126_126 = e20 % 20.77/5.43 | % 20.77/5.43 | Combining equations (422,426) yields a new equation: % 20.77/5.43 | (2781) e21 = e20 % 20.77/5.43 | % 20.77/5.43 | Simplifying 2781 yields: % 20.77/5.43 | (564) e21 = e20 % 20.77/5.43 | % 20.77/5.43 | Equations (564) can reduce 326 to: % 20.77/5.43 | (423) $false % 20.77/5.43 | % 20.77/5.43 |-The branch is then unsatisfiable % 20.77/5.43 |-Branch two: % 20.77/5.43 | (449) ~ (all_0_109_109 = all_0_130_130) % 20.77/5.43 | (450) all_0_110_110 = all_0_134_134 % 20.77/5.43 | % 20.77/5.43 | Combining equations (4910,450) yields a new equation: % 20.77/5.43 | (393) all_0_134_134 = e21 % 20.77/5.43 | % 20.77/5.43 | Combining equations (452,393) yields a new equation: % 20.77/5.43 | (457) e22 = e21 % 20.77/5.43 | % 20.77/5.43 | Simplifying 457 yields: % 20.77/5.43 | (447) e22 = e21 % 20.77/5.43 | % 20.77/5.43 | Equations (447) can reduce 248 to: % 20.77/5.43 | (423) $false % 20.77/5.43 | % 20.77/5.43 |-The branch is then unsatisfiable % 20.77/5.43 |-Branch two: % 20.77/5.43 | (416) ~ (all_0_129_129 = e21) % 20.77/5.43 | (446) all_0_130_130 = e21 % 20.77/5.43 | % 20.77/5.43 | Equations (446) can reduce 395 to: % 20.77/5.43 | (423) $false % 20.77/5.43 | % 20.77/5.43 |-The branch is then unsatisfiable % 20.77/5.43 |-Branch two: % 20.77/5.43 | (394) ~ (all_0_126_126 = e21) % 20.77/5.43 | (5070) all_0_130_130 = e21 | all_0_134_134 = e21 % 20.77/5.43 | % 20.77/5.43 +-Applying beta-rule and splitting (5070), into two cases. % 20.77/5.43 |-Branch one: % 20.77/5.43 | (446) all_0_130_130 = e21 % 20.77/5.43 | % 20.77/5.43 | Equations (446) can reduce 226 to: % 20.77/5.43 | (394) ~ (all_0_126_126 = e21) % 20.77/5.43 | % 20.77/5.43 | Equations (446) can reduce 80 to: % 20.77/5.43 | (733) ~ (all_0_128_128 = e21) % 20.77/5.43 | % 20.77/5.43 | Equations (446) can reduce 53 to: % 20.77/5.43 | (4695) ~ (all_0_134_134 = e21) % 20.77/5.43 | % 20.77/5.43 | Simplifying 4695 yields: % 20.77/5.43 | (567) ~ (all_0_134_134 = e21) % 20.77/5.43 | % 20.77/5.43 | From (446) and (57) follows: % 20.77/5.43 | (5076) op2(e21, e21) = all_0_109_109 % 20.77/5.43 | % 20.77/5.43 +-Applying beta-rule and splitting (190), into two cases. % 20.77/5.43 |-Branch one: % 20.77/5.43 | (487) all_0_124_124 = e21 % 20.77/5.43 | % 20.77/5.43 | Equations (487) can reduce 405 to: % 20.77/5.43 | (423) $false % 20.77/5.43 | % 20.77/5.43 |-The branch is then unsatisfiable % 20.77/5.43 |-Branch two: % 20.77/5.43 | (405) ~ (all_0_124_124 = e21) % 20.77/5.43 | (727) all_0_125_125 = e21 | all_0_126_126 = e21 % 20.77/5.43 | % 20.77/5.43 +-Applying beta-rule and splitting (727), into two cases. % 20.77/5.43 |-Branch one: % 20.77/5.43 | (410) all_0_125_125 = e21 % 20.77/5.43 | % 20.77/5.43 | Equations (410) can reduce 211 to: % 20.77/5.43 | (353) ~ (all_0_123_123 = e21) % 20.77/5.43 | % 20.77/5.43 | Equations (410) can reduce 327 to: % 20.77/5.43 | (413) ~ (all_0_126_126 = e21) % 20.77/5.43 | % 20.77/5.43 | Simplifying 413 yields: % 20.77/5.43 | (394) ~ (all_0_126_126 = e21) % 20.77/5.43 | % 20.77/5.43 | Equations (410) can reduce 374 to: % 20.77/5.43 | (415) ~ (all_0_129_129 = e21) % 20.77/5.43 | % 20.77/5.43 | Simplifying 415 yields: % 20.77/5.43 | (416) ~ (all_0_129_129 = e21) % 20.77/5.43 | % 20.77/5.43 | Equations (410) can reduce 84 to: % 20.77/5.43 | (417) ~ (all_0_133_133 = e21) % 20.77/5.43 | % 20.77/5.43 | Simplifying 417 yields: % 20.77/5.43 | (418) ~ (all_0_133_133 = e21) % 20.77/5.43 | % 20.77/5.43 | Instantiating formula (3) with e21, e21, all_0_109_109, all_0_129_129 and discharging atoms op2(e21, e21) = all_0_109_109, op2(e21, e21) = all_0_129_129, yields: % 20.77/5.43 | (5089) all_0_109_109 = all_0_129_129 % 20.77/5.43 | % 20.77/5.43 +-Applying beta-rule and splitting (192), into two cases. % 20.77/5.43 |-Branch one: % 20.77/5.43 | (422) all_0_126_126 = e21 % 20.77/5.43 | % 20.77/5.43 | Equations (422) can reduce 394 to: % 20.77/5.43 | (423) $false % 20.77/5.43 | % 20.77/5.43 |-The branch is then unsatisfiable % 20.77/5.43 |-Branch two: % 20.77/5.43 | (394) ~ (all_0_126_126 = e21) % 20.77/5.43 | (425) all_0_126_126 = e22 | all_0_126_126 = e20 % 20.77/5.43 | % 20.77/5.43 +-Applying beta-rule and splitting (371), into two cases. % 20.77/5.43 |-Branch one: % 20.77/5.43 | (426) all_0_126_126 = e20 % 20.77/5.43 | % 20.77/5.43 | Equations (426) can reduce 238 to: % 20.77/5.43 | (4898) ~ (all_0_134_134 = e20) % 20.77/5.43 | % 20.77/5.43 | Simplifying 4898 yields: % 20.77/5.43 | (547) ~ (all_0_134_134 = e20) % 20.77/5.43 | % 20.77/5.43 | Equations (426) can reduce 394 to: % 20.77/5.43 | (465) ~ (e21 = e20) % 20.77/5.43 | % 20.77/5.43 | Simplifying 465 yields: % 20.77/5.43 | (326) ~ (e21 = e20) % 20.77/5.43 | % 20.77/5.43 | From (426) and (83) follows: % 20.77/5.43 | (427) op2(e20, e22) = all_0_108_108 % 20.77/5.44 | % 20.77/5.44 | From (426) and (129) follows: % 20.77/5.44 | (5100) op2(e22, e20) = e20 % 20.77/5.44 | % 20.77/5.44 +-Applying beta-rule and splitting (4691), into two cases. % 20.77/5.44 |-Branch one: % 20.77/5.44 | (652) all_0_134_134 = e20 % 20.77/5.44 | % 20.77/5.44 | Equations (652) can reduce 547 to: % 20.77/5.44 | (423) $false % 20.77/5.44 | % 20.77/5.44 |-The branch is then unsatisfiable % 20.77/5.44 |-Branch two: % 20.77/5.44 | (547) ~ (all_0_134_134 = e20) % 20.77/5.44 | (452) all_0_134_134 = e22 % 20.77/5.44 | % 20.77/5.44 | Equations (452) can reduce 547 to: % 20.77/5.44 | (121) ~ (e22 = e20) % 20.77/5.44 | % 20.77/5.44 | From (452) and (16) follows: % 20.77/5.44 | (4909) op2(e22, e20) = all_0_110_110 % 20.77/5.44 | % 20.77/5.44 | From (452) and (260) follows: % 20.77/5.44 | (5107) op2(e20, e22) = all_0_97_97 % 20.77/5.44 | % 20.77/5.44 | Instantiating formula (3) with e22, e20, e20, all_0_110_110 and discharging atoms op2(e22, e20) = all_0_110_110, op2(e22, e20) = e20, yields: % 20.77/5.44 | (869) all_0_110_110 = e20 % 20.77/5.44 | % 20.77/5.44 | Instantiating formula (3) with e20, e22, all_0_97_97, e21 and discharging atoms op2(e20, e22) = all_0_97_97, op2(e20, e22) = e21, yields: % 20.77/5.44 | (5109) all_0_97_97 = e21 % 20.77/5.44 | % 20.77/5.44 | Instantiating formula (3) with e20, e22, all_0_108_108, all_0_97_97 and discharging atoms op2(e20, e22) = all_0_97_97, op2(e20, e22) = all_0_108_108, yields: % 20.77/5.44 | (5110) all_0_97_97 = all_0_108_108 % 20.77/5.44 | % 20.77/5.44 | Combining equations (5109,5110) yields a new equation: % 20.77/5.44 | (880) all_0_108_108 = e21 % 20.77/5.44 | % 20.77/5.44 +-Applying beta-rule and splitting (251), into two cases. % 20.77/5.44 |-Branch one: % 20.77/5.44 | (439) all_0_108_108 = all_0_126_126 % 20.77/5.44 | % 20.77/5.44 | Combining equations (880,439) yields a new equation: % 20.77/5.44 | (422) all_0_126_126 = e21 % 20.77/5.44 | % 20.77/5.44 | Combining equations (426,422) yields a new equation: % 20.77/5.44 | (564) e21 = e20 % 20.77/5.44 | % 20.77/5.44 | Equations (564) can reduce 326 to: % 20.77/5.44 | (423) $false % 20.77/5.44 | % 20.77/5.44 |-The branch is then unsatisfiable % 20.77/5.44 |-Branch two: % 20.77/5.44 | (443) ~ (all_0_108_108 = all_0_126_126) % 20.77/5.44 | (444) all_0_109_109 = all_0_130_130 | all_0_110_110 = all_0_134_134 % 20.77/5.44 | % 20.77/5.44 +-Applying beta-rule and splitting (444), into two cases. % 20.77/5.44 |-Branch one: % 20.77/5.44 | (445) all_0_109_109 = all_0_130_130 % 20.77/5.44 | % 20.77/5.44 | Combining equations (5089,445) yields a new equation: % 20.77/5.44 | (5119) all_0_129_129 = all_0_130_130 % 20.77/5.44 | % 20.77/5.44 | Simplifying 5119 yields: % 20.77/5.44 | (5120) all_0_129_129 = all_0_130_130 % 20.77/5.44 | % 20.77/5.44 | Combining equations (446,5120) yields a new equation: % 20.77/5.44 | (475) all_0_129_129 = e21 % 20.77/5.44 | % 20.77/5.44 | Equations (475) can reduce 416 to: % 20.77/5.44 | (423) $false % 20.77/5.44 | % 20.77/5.44 |-The branch is then unsatisfiable % 20.77/5.44 |-Branch two: % 20.77/5.44 | (449) ~ (all_0_109_109 = all_0_130_130) % 20.77/5.44 | (450) all_0_110_110 = all_0_134_134 % 20.77/5.44 | % 20.77/5.44 | Combining equations (450,869) yields a new equation: % 20.77/5.44 | (4660) all_0_134_134 = e20 % 20.77/5.44 | % 20.77/5.44 | Simplifying 4660 yields: % 20.77/5.44 | (652) all_0_134_134 = e20 % 20.77/5.44 | % 20.77/5.44 | Combining equations (452,652) yields a new equation: % 20.77/5.44 | (780) e22 = e20 % 20.77/5.44 | % 20.77/5.44 | Simplifying 780 yields: % 20.77/5.44 | (429) e22 = e20 % 20.77/5.44 | % 20.77/5.44 | Equations (429) can reduce 121 to: % 20.77/5.44 | (423) $false % 20.77/5.44 | % 20.77/5.44 |-The branch is then unsatisfiable % 20.77/5.44 |-Branch two: % 20.77/5.44 | (460) ~ (all_0_126_126 = e20) % 20.77/5.44 | (461) all_0_130_130 = e20 | all_0_134_134 = e20 % 20.77/5.44 | % 20.77/5.44 +-Applying beta-rule and splitting (461), into two cases. % 20.77/5.44 |-Branch one: % 20.77/5.44 | (473) all_0_130_130 = e20 % 20.77/5.44 | % 20.77/5.44 | Combining equations (446,473) yields a new equation: % 20.77/5.44 | (2781) e21 = e20 % 20.77/5.44 | % 20.77/5.44 | Simplifying 2781 yields: % 20.77/5.44 | (564) e21 = e20 % 20.77/5.44 | % 20.77/5.44 | Equations (564) can reduce 326 to: % 20.77/5.44 | (423) $false % 20.77/5.44 | % 20.77/5.44 |-The branch is then unsatisfiable % 20.77/5.44 |-Branch two: % 20.77/5.44 | (572) ~ (all_0_130_130 = e20) % 20.77/5.44 | (652) all_0_134_134 = e20 % 20.77/5.44 | % 20.77/5.44 | Equations (652) can reduce 26 to: % 20.77/5.44 | (512) ~ (all_0_131_131 = e20) % 20.77/5.44 | % 20.77/5.44 | Equations (652) can reduce 120 to: % 20.77/5.44 | (590) ~ (all_0_133_133 = e20) % 20.77/5.44 | % 20.77/5.44 | Equations (652) can reduce 567 to: % 20.77/5.44 | (465) ~ (e21 = e20) % 20.77/5.44 | % 20.77/5.44 | Simplifying 465 yields: % 20.77/5.44 | (326) ~ (e21 = e20) % 20.77/5.44 | % 20.77/5.44 +-Applying beta-rule and splitting (325), into two cases. % 20.77/5.44 |-Branch one: % 20.77/5.44 | (528) all_0_131_131 = e20 % 20.77/5.44 | % 20.77/5.44 | Equations (528) can reduce 512 to: % 20.77/5.44 | (423) $false % 20.77/5.44 | % 20.77/5.44 |-The branch is then unsatisfiable % 20.77/5.44 |-Branch two: % 20.77/5.44 | (512) ~ (all_0_131_131 = e20) % 20.77/5.44 | (533) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) | (all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_133_133 = e20 & ~ (all_0_127_127 = e23) & ~ (all_0_128_128 = e22) & ~ (all_0_129_129 = e21) & ~ (all_0_130_130 = e20) & ~ (all_0_134_134 = e21)) | ( ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) % 20.77/5.44 | % 20.77/5.44 +-Applying beta-rule and splitting (533), into two cases. % 20.77/5.44 |-Branch one: % 20.77/5.44 | (534) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) | (all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_133_133 = e20 & ~ (all_0_127_127 = e23) & ~ (all_0_128_128 = e22) & ~ (all_0_129_129 = e21) & ~ (all_0_130_130 = e20) & ~ (all_0_134_134 = e21)) % 20.77/5.44 | % 20.77/5.44 +-Applying beta-rule and splitting (534), into two cases. % 20.77/5.44 |-Branch one: % 20.77/5.44 | (535) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) | (all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) % 20.77/5.44 | % 20.77/5.44 +-Applying beta-rule and splitting (535), into two cases. % 20.77/5.44 |-Branch one: % 20.77/5.44 | (536) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) % 20.77/5.44 | % 20.77/5.44 +-Applying beta-rule and splitting (536), into two cases. % 20.77/5.44 |-Branch one: % 20.77/5.44 | (537) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) % 20.77/5.44 | % 20.77/5.44 +-Applying beta-rule and splitting (537), into two cases. % 20.77/5.44 |-Branch one: % 20.77/5.44 | (538) all_0_123_123 = e22 & ~ (all_0_124_124 = e23) % 20.77/5.44 | % 20.77/5.44 | Applying alpha-rule on (538) yields: % 20.77/5.44 | (539) all_0_123_123 = e22 % 20.77/5.44 | (540) ~ (all_0_124_124 = e23) % 20.77/5.44 | % 20.77/5.44 | Equations (539) can reduce 304 to: % 20.77/5.44 | (5153) ~ (all_0_127_127 = e22) % 20.77/5.44 | % 20.77/5.44 | Simplifying 5153 yields: % 20.77/5.44 | (593) ~ (all_0_127_127 = e22) % 20.77/5.44 | % 20.77/5.44 | Equations (539) can reduce 208 to: % 20.77/5.44 | (5155) ~ (all_0_131_131 = e22) % 20.77/5.44 | % 20.77/5.44 | Simplifying 5155 yields: % 20.77/5.44 | (4868) ~ (all_0_131_131 = e22) % 20.77/5.44 | % 20.77/5.44 | Equations (539) can reduce 353 to: % 20.77/5.44 | (248) ~ (e22 = e21) % 20.77/5.44 | % 20.77/5.44 +-Applying beta-rule and splitting (51), into two cases. % 20.77/5.44 |-Branch one: % 20.77/5.44 | (495) all_0_133_133 = e21 % 20.77/5.44 | % 20.77/5.44 | Equations (495) can reduce 418 to: % 20.77/5.44 | (423) $false % 20.77/5.44 | % 20.77/5.44 |-The branch is then unsatisfiable % 20.77/5.44 |-Branch two: % 20.77/5.44 | (418) ~ (all_0_133_133 = e21) % 20.77/5.44 | (498) all_0_133_133 = e23 | all_0_133_133 = e20 % 20.77/5.44 | % 20.77/5.44 +-Applying beta-rule and splitting (202), into two cases. % 20.77/5.44 |-Branch one: % 20.77/5.44 | (491) all_0_127_127 = e22 % 20.77/5.44 | % 20.77/5.44 | Equations (491) can reduce 593 to: % 20.77/5.44 | (423) $false % 20.77/5.44 | % 20.77/5.44 |-The branch is then unsatisfiable % 20.77/5.44 |-Branch two: % 20.77/5.44 | (593) ~ (all_0_127_127 = e22) % 20.77/5.44 | (594) all_0_128_128 = e22 | all_0_130_130 = e22 % 20.77/5.44 | % 20.77/5.44 +-Applying beta-rule and splitting (498), into two cases. % 20.77/5.44 |-Branch one: % 20.77/5.44 | (511) all_0_133_133 = e20 % 20.77/5.44 | % 20.77/5.44 | Equations (511) can reduce 590 to: % 20.77/5.44 | (423) $false % 20.77/5.44 | % 20.77/5.44 |-The branch is then unsatisfiable % 20.77/5.44 |-Branch two: % 20.77/5.44 | (590) ~ (all_0_133_133 = e20) % 20.77/5.44 | (587) all_0_133_133 = e23 % 20.77/5.44 | % 20.77/5.44 | Equations (587) can reduce 590 to: % 20.77/5.44 | (276) ~ (e23 = e20) % 20.77/5.44 | % 20.77/5.44 +-Applying beta-rule and splitting (594), into two cases. % 20.77/5.44 |-Branch one: % 20.77/5.44 | (503) all_0_128_128 = e22 % 20.77/5.44 | % 20.77/5.44 | Equations (503) can reduce 368 to: % 20.77/5.44 | (5172) ~ (all_0_129_129 = e22) % 20.77/5.44 | % 20.77/5.44 | Simplifying 5172 yields: % 20.77/5.44 | (281) ~ (all_0_129_129 = e22) % 20.77/5.44 | % 20.77/5.44 | Equations (503) can reduce 733 to: % 20.77/5.44 | (248) ~ (e22 = e21) % 20.77/5.44 | % 20.77/5.44 +-Applying beta-rule and splitting (252), into two cases. % 20.77/5.44 |-Branch one: % 20.77/5.44 | (772) all_0_125_125 = e20 % 20.77/5.44 | % 20.77/5.44 | Combining equations (410,772) yields a new equation: % 20.77/5.44 | (2781) e21 = e20 % 20.77/5.44 | % 20.77/5.44 | Simplifying 2781 yields: % 20.77/5.44 | (564) e21 = e20 % 20.77/5.44 | % 20.77/5.44 | Equations (564) can reduce 326 to: % 20.77/5.44 | (423) $false % 20.77/5.44 | % 20.77/5.44 |-The branch is then unsatisfiable % 20.77/5.44 |-Branch two: % 20.77/5.44 | (764) ~ (all_0_125_125 = e20) % 20.77/5.44 | (4872) all_0_129_129 = e20 | all_0_133_133 = e20 % 20.77/5.44 | % 20.77/5.44 +-Applying beta-rule and splitting (4872), into two cases. % 20.77/5.44 |-Branch one: % 20.77/5.44 | (479) all_0_129_129 = e20 % 20.77/5.44 | % 20.77/5.44 | Equations (479) can reduce 281 to: % 20.77/5.44 | (515) ~ (e22 = e20) % 20.77/5.44 | % 20.77/5.44 | Simplifying 515 yields: % 20.77/5.44 | (121) ~ (e22 = e20) % 20.77/5.44 | % 20.77/5.44 +-Applying beta-rule and splitting (322), into two cases. % 20.77/5.44 |-Branch one: % 20.77/5.44 | (628) all_0_131_131 = e22 % 20.77/5.44 | % 20.77/5.44 | Equations (628) can reduce 4868 to: % 20.77/5.44 | (423) $false % 20.77/5.44 | % 20.77/5.44 |-The branch is then unsatisfiable % 20.77/5.44 |-Branch two: % 20.77/5.44 | (4868) ~ (all_0_131_131 = e22) % 20.77/5.44 | (5187) all_0_132_132 = e22 | all_0_134_134 = e22 % 20.77/5.44 | % 20.77/5.44 +-Applying beta-rule and splitting (5187), into two cases. % 20.77/5.44 |-Branch one: % 20.77/5.44 | (508) all_0_132_132 = e22 % 20.77/5.44 | % 20.77/5.44 | Combining equations (508,924) yields a new equation: % 20.77/5.44 | (457) e22 = e21 % 20.77/5.44 | % 20.77/5.44 | Simplifying 457 yields: % 20.77/5.44 | (447) e22 = e21 % 20.77/5.44 | % 20.77/5.44 | Equations (447) can reduce 248 to: % 20.77/5.44 | (423) $false % 20.77/5.44 | % 20.77/5.44 |-The branch is then unsatisfiable % 20.77/5.44 |-Branch two: % 20.77/5.44 | (545) ~ (all_0_132_132 = e22) % 20.77/5.44 | (452) all_0_134_134 = e22 % 20.77/5.44 | % 20.77/5.44 | Combining equations (452,652) yields a new equation: % 20.77/5.44 | (780) e22 = e20 % 20.77/5.44 | % 20.77/5.44 | Simplifying 780 yields: % 20.77/5.44 | (429) e22 = e20 % 20.77/5.44 | % 20.77/5.44 | Equations (429) can reduce 121 to: % 20.77/5.44 | (423) $false % 20.77/5.44 | % 20.77/5.44 |-The branch is then unsatisfiable % 20.77/5.44 |-Branch two: % 20.77/5.44 | (474) ~ (all_0_129_129 = e20) % 20.77/5.44 | (511) all_0_133_133 = e20 % 20.77/5.44 | % 20.77/5.44 | Combining equations (511,587) yields a new equation: % 20.77/5.44 | (522) e23 = e20 % 20.77/5.44 | % 20.77/5.44 | Equations (522) can reduce 276 to: % 20.77/5.44 | (423) $false % 20.77/5.44 | % 20.77/5.44 |-The branch is then unsatisfiable % 20.77/5.44 |-Branch two: % 20.77/5.44 | (507) ~ (all_0_128_128 = e22) % 20.77/5.44 | (433) all_0_130_130 = e22 % 20.77/5.44 | % 20.77/5.44 | Combining equations (446,433) yields a new equation: % 20.77/5.44 | (447) e22 = e21 % 20.77/5.44 | % 20.77/5.44 | Equations (447) can reduce 248 to: % 20.77/5.44 | (423) $false % 20.77/5.44 | % 20.77/5.44 |-The branch is then unsatisfiable % 20.77/5.44 |-Branch two: % 20.77/5.44 | (543) all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20) % 20.77/5.44 | % 20.77/5.44 | Applying alpha-rule on (543) yields: % 20.77/5.44 | (428) all_0_126_126 = e22 % 20.77/5.44 | (545) ~ (all_0_132_132 = e22) % 20.77/5.44 | (418) ~ (all_0_133_133 = e21) % 20.77/5.44 | (547) ~ (all_0_134_134 = e20) % 20.77/5.44 | (548) ~ (all_0_131_131 = e23) % 20.77/5.45 | % 20.77/5.45 | Equations (652) can reduce 547 to: % 20.77/5.45 | (423) $false % 20.77/5.45 | % 20.77/5.45 |-The branch is then unsatisfiable % 20.77/5.45 |-Branch two: % 20.77/5.45 | (550) all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20) % 20.77/5.45 | % 20.77/5.45 | Applying alpha-rule on (550) yields: % 20.77/5.45 | (471) ~ (all_0_124_124 = e22) % 20.77/5.45 | (404) all_0_128_128 = e21 % 20.77/5.45 | (553) ~ (all_0_125_125 = e21) % 20.77/5.45 | (460) ~ (all_0_126_126 = e20) % 20.77/5.45 | (524) ~ (all_0_123_123 = e23) % 20.77/5.45 | % 20.77/5.45 | Equations (404) can reduce 733 to: % 20.77/5.45 | (423) $false % 20.77/5.45 | % 20.77/5.45 |-The branch is then unsatisfiable % 20.77/5.45 |-Branch two: % 20.77/5.45 | (557) all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20) % 20.77/5.45 | % 20.77/5.45 | Applying alpha-rule on (557) yields: % 20.77/5.45 | (545) ~ (all_0_132_132 = e22) % 20.77/5.45 | (418) ~ (all_0_133_133 = e21) % 20.77/5.45 | (547) ~ (all_0_134_134 = e20) % 20.77/5.45 | (474) ~ (all_0_129_129 = e20) % 20.77/5.45 | (446) all_0_130_130 = e21 % 20.77/5.45 | (548) ~ (all_0_131_131 = e23) % 20.77/5.45 | % 20.77/5.45 | Equations (652) can reduce 547 to: % 20.77/5.45 | (423) $false % 20.77/5.45 | % 20.77/5.45 |-The branch is then unsatisfiable % 20.77/5.45 |-Branch two: % 20.77/5.45 | (566) all_0_133_133 = e20 & ~ (all_0_127_127 = e23) & ~ (all_0_128_128 = e22) & ~ (all_0_129_129 = e21) & ~ (all_0_130_130 = e20) & ~ (all_0_134_134 = e21) % 20.77/5.45 | % 20.77/5.45 | Applying alpha-rule on (566) yields: % 20.77/5.45 | (567) ~ (all_0_134_134 = e21) % 20.77/5.45 | (511) all_0_133_133 = e20 % 20.77/5.45 | (416) ~ (all_0_129_129 = e21) % 20.77/5.45 | (483) ~ (all_0_127_127 = e23) % 20.77/5.45 | (507) ~ (all_0_128_128 = e22) % 20.77/5.45 | (572) ~ (all_0_130_130 = e20) % 20.77/5.45 | % 20.77/5.45 | Equations (511) can reduce 590 to: % 20.77/5.45 | (423) $false % 20.77/5.45 | % 20.77/5.45 |-The branch is then unsatisfiable % 20.77/5.45 |-Branch two: % 20.77/5.45 | (574) ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20) % 20.77/5.45 | % 20.77/5.45 | Applying alpha-rule on (574) yields: % 20.77/5.45 | (548) ~ (all_0_131_131 = e23) % 20.77/5.45 | (545) ~ (all_0_132_132 = e22) % 20.77/5.45 | (418) ~ (all_0_133_133 = e21) % 20.77/5.45 | (547) ~ (all_0_134_134 = e20) % 20.77/5.45 | % 20.77/5.45 | Equations (652) can reduce 547 to: % 20.77/5.45 | (423) $false % 20.77/5.45 | % 20.77/5.45 |-The branch is then unsatisfiable % 20.77/5.45 |-Branch two: % 20.77/5.45 | (553) ~ (all_0_125_125 = e21) % 20.77/5.45 | (422) all_0_126_126 = e21 % 20.77/5.45 | % 20.77/5.45 | Equations (422) can reduce 394 to: % 20.77/5.45 | (423) $false % 20.77/5.45 | % 20.77/5.45 |-The branch is then unsatisfiable % 20.77/5.45 |-Branch two: % 20.77/5.45 | (395) ~ (all_0_130_130 = e21) % 20.77/5.45 | (393) all_0_134_134 = e21 % 20.77/5.45 | % 20.77/5.45 | Equations (393) can reduce 567 to: % 20.77/5.45 | (423) $false % 20.77/5.45 | % 20.77/5.45 |-The branch is then unsatisfiable % 20.77/5.45 |-Branch two: % 20.77/5.45 | (396) ~ (all_0_132_132 = e21) % 20.77/5.45 | (5248) all_0_133_133 = e21 | all_0_134_134 = e21 % 20.77/5.45 | % 20.77/5.45 +-Applying beta-rule and splitting (5248), into two cases. % 20.77/5.45 |-Branch one: % 20.77/5.45 | (495) all_0_133_133 = e21 % 20.77/5.45 | % 20.77/5.45 | Equations (495) can reduce 84 to: % 20.77/5.45 | (553) ~ (all_0_125_125 = e21) % 20.77/5.45 | % 20.77/5.45 | Equations (495) can reduce 175 to: % 20.77/5.45 | (416) ~ (all_0_129_129 = e21) % 20.77/5.45 | % 20.77/5.45 | Equations (495) can reduce 108 to: % 20.77/5.45 | (20) ~ (all_0_131_131 = e21) % 20.77/5.45 | % 20.77/5.45 | Equations (495) can reduce 120 to: % 20.77/5.45 | (4695) ~ (all_0_134_134 = e21) % 20.77/5.45 | % 20.77/5.45 | Simplifying 4695 yields: % 20.77/5.45 | (567) ~ (all_0_134_134 = e21) % 20.77/5.45 | % 20.77/5.45 | Equations (495) can reduce 44 to: % 20.77/5.45 | (419) ~ (e22 = e21) % 20.77/5.45 | % 20.77/5.45 | Simplifying 419 yields: % 20.77/5.45 | (248) ~ (e22 = e21) % 20.77/5.45 | % 20.77/5.45 | From (495) and (339) follows: % 20.77/5.45 | (5257) op2(e21, e20) = all_0_107_107 % 20.77/5.45 | % 20.77/5.45 | Instantiating formula (3) with e21, e20, all_0_107_107, all_0_130_130 and discharging atoms op2(e21, e20) = all_0_107_107, op2(e21, e20) = all_0_130_130, yields: % 20.77/5.45 | (5258) all_0_107_107 = all_0_130_130 % 20.77/5.45 | % 20.77/5.45 | From (5258) and (5257) follows: % 20.77/5.45 | (293) op2(e21, e20) = all_0_130_130 % 20.77/5.45 | % 20.77/5.45 +-Applying beta-rule and splitting (103), into two cases. % 20.77/5.45 |-Branch one: % 20.77/5.45 | (410) all_0_125_125 = e21 % 20.77/5.45 | % 20.77/5.45 | Equations (410) can reduce 553 to: % 20.77/5.45 | (423) $false % 20.77/5.45 | % 20.77/5.45 |-The branch is then unsatisfiable % 20.77/5.45 |-Branch two: % 20.77/5.45 | (553) ~ (all_0_125_125 = e21) % 20.77/5.45 | (771) all_0_125_125 = e23 | all_0_125_125 = e20 % 20.77/5.45 | % 20.77/5.45 +-Applying beta-rule and splitting (64), into two cases. % 20.77/5.45 |-Branch one: % 20.77/5.45 | (404) all_0_128_128 = e21 % 20.77/5.45 | % 20.77/5.45 | Equations (404) can reduce 126 to: % 20.77/5.45 | (329) ~ (all_0_127_127 = e21) % 20.77/5.45 | % 20.77/5.45 | Equations (404) can reduce 368 to: % 20.77/5.45 | (415) ~ (all_0_129_129 = e21) % 20.77/5.45 | % 20.77/5.45 | Simplifying 415 yields: % 20.77/5.45 | (416) ~ (all_0_129_129 = e21) % 20.77/5.45 | % 20.77/5.45 | Equations (404) can reduce 80 to: % 20.77/5.45 | (407) ~ (all_0_130_130 = e21) % 20.77/5.45 | % 20.77/5.45 | Simplifying 407 yields: % 20.77/5.45 | (395) ~ (all_0_130_130 = e21) % 20.77/5.45 | % 20.77/5.45 | Equations (404) can reduce 61 to: % 20.77/5.45 | (739) ~ (all_0_132_132 = e21) % 20.77/5.45 | % 20.77/5.45 | Simplifying 739 yields: % 20.77/5.45 | (396) ~ (all_0_132_132 = e21) % 20.77/5.45 | % 20.77/5.45 | Equations (404) can reduce 231 to: % 20.77/5.45 | (326) ~ (e21 = e20) % 20.77/5.45 | % 20.77/5.45 | From (404) and (66) follows: % 20.77/5.45 | (5273) op2(e21, e21) = all_0_103_103 % 20.77/5.45 | % 20.77/5.45 +-Applying beta-rule and splitting (344), into two cases. % 20.77/5.45 |-Branch one: % 20.77/5.45 | (422) all_0_126_126 = e21 % 20.77/5.45 | % 20.77/5.45 | Equations (422) can reduce 267 to: % 20.77/5.45 | (353) ~ (all_0_123_123 = e21) % 20.77/5.45 | % 20.77/5.45 | Equations (422) can reduce 240 to: % 20.77/5.45 | (405) ~ (all_0_124_124 = e21) % 20.77/5.45 | % 20.77/5.45 | Equations (422) can reduce 327 to: % 20.77/5.45 | (553) ~ (all_0_125_125 = e21) % 20.77/5.45 | % 20.77/5.45 | Equations (422) can reduce 226 to: % 20.77/5.45 | (407) ~ (all_0_130_130 = e21) % 20.77/5.45 | % 20.77/5.45 | Simplifying 407 yields: % 20.77/5.45 | (395) ~ (all_0_130_130 = e21) % 20.77/5.45 | % 20.77/5.45 | Equations (422) can reduce 238 to: % 20.77/5.45 | (4695) ~ (all_0_134_134 = e21) % 20.77/5.45 | % 20.77/5.45 | Simplifying 4695 yields: % 20.77/5.45 | (567) ~ (all_0_134_134 = e21) % 20.77/5.45 | % 20.77/5.45 | Equations (422) can reduce 125 to: % 20.77/5.45 | (397) ~ (e23 = e21) % 20.77/5.45 | % 20.77/5.45 | Simplifying 397 yields: % 20.77/5.45 | (288) ~ (e23 = e21) % 20.77/5.45 | % 20.77/5.45 | From (422) and (129) follows: % 20.77/5.45 | (4709) op2(e22, e20) = e21 % 20.77/5.45 | % 20.77/5.45 | Instantiating formula (3) with e21, e21, all_0_103_103, all_0_129_129 and discharging atoms op2(e21, e21) = all_0_103_103, op2(e21, e21) = all_0_129_129, yields: % 20.77/5.45 | (5285) all_0_103_103 = all_0_129_129 % 20.77/5.45 | % 20.77/5.45 +-Applying beta-rule and splitting (55), into two cases. % 20.77/5.45 |-Branch one: % 20.77/5.45 | (924) all_0_132_132 = e21 % 20.77/5.45 | % 20.77/5.45 | Equations (924) can reduce 396 to: % 20.77/5.45 | (423) $false % 20.77/5.45 | % 20.77/5.45 |-The branch is then unsatisfiable % 20.77/5.45 |-Branch two: % 20.77/5.45 | (396) ~ (all_0_132_132 = e21) % 20.77/5.45 | (927) all_0_132_132 = e23 | all_0_132_132 = e22 % 20.77/5.45 | % 20.77/5.45 +-Applying beta-rule and splitting (252), into two cases. % 20.77/5.45 |-Branch one: % 20.77/5.45 | (772) all_0_125_125 = e20 % 20.77/5.45 | % 20.77/5.45 | Equations (772) can reduce 211 to: % 20.77/5.45 | (655) ~ (all_0_123_123 = e20) % 20.77/5.45 | % 20.77/5.45 | Equations (772) can reduce 323 to: % 20.77/5.45 | (217) ~ (all_0_124_124 = e20) % 20.77/5.45 | % 20.77/5.45 | Equations (772) can reduce 374 to: % 20.77/5.45 | (5293) ~ (all_0_129_129 = e20) % 20.77/5.45 | % 20.77/5.45 | Simplifying 5293 yields: % 20.77/5.45 | (474) ~ (all_0_129_129 = e20) % 20.77/5.45 | % 20.77/5.45 | Equations (772) can reduce 553 to: % 20.77/5.45 | (465) ~ (e21 = e20) % 20.77/5.45 | % 20.77/5.45 | Simplifying 465 yields: % 20.77/5.45 | (326) ~ (e21 = e20) % 20.77/5.45 | % 20.77/5.45 | From (772) and (160) follows: % 20.77/5.45 | (5297) op2(e20, e22) = all_0_105_105 % 20.77/5.45 | % 20.77/5.45 +-Applying beta-rule and splitting (158), into two cases. % 20.77/5.45 |-Branch one: % 20.77/5.45 | (775) all_0_125_125 = e23 % 20.77/5.45 | % 20.77/5.45 | Combining equations (772,775) yields a new equation: % 20.77/5.45 | (522) e23 = e20 % 20.77/5.45 | % 20.77/5.45 | Equations (522) can reduce 276 to: % 20.77/5.45 | (423) $false % 20.77/5.45 | % 20.77/5.45 |-The branch is then unsatisfiable % 20.77/5.45 |-Branch two: % 20.77/5.45 | (4647) ~ (all_0_125_125 = e23) % 20.77/5.45 | (4648) all_0_129_129 = e23 | all_0_133_133 = e23 % 20.77/5.45 | % 20.77/5.45 +-Applying beta-rule and splitting (4648), into two cases. % 20.77/5.45 |-Branch one: % 20.77/5.45 | (482) all_0_129_129 = e23 % 20.77/5.45 | % 20.77/5.45 | Combining equations (482,5285) yields a new equation: % 20.77/5.45 | (5304) all_0_103_103 = e23 % 20.77/5.45 | % 20.77/5.45 | Equations (482) can reduce 234 to: % 20.77/5.45 | (4785) ~ (all_0_130_130 = e23) % 20.77/5.45 | % 20.77/5.45 | Simplifying 4785 yields: % 20.77/5.45 | (265) ~ (all_0_130_130 = e23) % 20.77/5.45 | % 20.77/5.45 | Equations (482) can reduce 281 to: % 20.77/5.45 | (28) ~ (e23 = e22) % 20.77/5.45 | % 20.77/5.45 | Equations (482) can reduce 474 to: % 20.77/5.45 | (276) ~ (e23 = e20) % 20.77/5.45 | % 20.77/5.45 | From (482) and (241) follows: % 20.77/5.45 | (5309) op2(e23, e21) = all_0_106_106 % 20.77/5.45 | % 20.77/5.45 | Instantiating formula (3) with e23, e21, all_0_106_106, e22 and discharging atoms op2(e23, e21) = all_0_106_106, op2(e23, e21) = e22, yields: % 20.77/5.45 | (5310) all_0_106_106 = e22 % 20.77/5.45 | % 20.77/5.45 | Instantiating formula (3) with e20, e22, all_0_105_105, all_0_132_132 and discharging atoms op2(e20, e22) = all_0_105_105, op2(e20, e22) = all_0_132_132, yields: % 20.77/5.45 | (5311) all_0_105_105 = all_0_132_132 % 20.77/5.45 | % 20.77/5.45 +-Applying beta-rule and splitting (375), into two cases. % 20.77/5.45 |-Branch one: % 20.77/5.45 | (539) all_0_123_123 = e22 % 20.77/5.45 | % 20.77/5.45 | Equations (539) can reduce 62 to: % 20.77/5.45 | (5313) ~ (all_0_124_124 = e22) % 20.77/5.45 | % 20.77/5.45 | Simplifying 5313 yields: % 20.77/5.45 | (471) ~ (all_0_124_124 = e22) % 20.77/5.45 | % 20.77/5.45 | Equations (539) can reduce 304 to: % 20.77/5.45 | (5153) ~ (all_0_127_127 = e22) % 20.77/5.45 | % 20.77/5.45 | Simplifying 5153 yields: % 20.77/5.45 | (593) ~ (all_0_127_127 = e22) % 20.77/5.45 | % 20.77/5.45 | Equations (539) can reduce 208 to: % 20.77/5.45 | (5155) ~ (all_0_131_131 = e22) % 20.77/5.45 | % 20.77/5.45 | Simplifying 5155 yields: % 20.77/5.45 | (4868) ~ (all_0_131_131 = e22) % 20.77/5.45 | % 20.77/5.45 | Equations (539) can reduce 353 to: % 20.77/5.46 | (248) ~ (e22 = e21) % 20.77/5.46 | % 20.77/5.46 | Equations (539) can reduce 655 to: % 20.77/5.46 | (121) ~ (e22 = e20) % 20.77/5.46 | % 20.77/5.46 +-Applying beta-rule and splitting (174), into two cases. % 20.77/5.46 |-Branch one: % 20.77/5.46 | (804) all_0_127_127 = e20 % 20.77/5.46 | % 20.77/5.46 | Equations (804) can reduce 131 to: % 20.77/5.46 | (897) ~ (all_0_131_131 = e20) % 20.77/5.46 | % 20.77/5.46 | Simplifying 897 yields: % 20.77/5.46 | (512) ~ (all_0_131_131 = e20) % 20.77/5.46 | % 20.77/5.46 | Equations (804) can reduce 593 to: % 20.77/5.46 | (515) ~ (e22 = e20) % 20.77/5.46 | % 20.77/5.46 | Simplifying 515 yields: % 20.77/5.46 | (121) ~ (e22 = e20) % 20.77/5.46 | % 20.77/5.46 | Equations (804) can reduce 329 to: % 20.77/5.46 | (465) ~ (e21 = e20) % 20.77/5.46 | % 20.77/5.46 | Simplifying 465 yields: % 20.77/5.46 | (326) ~ (e21 = e20) % 20.77/5.46 | % 20.77/5.46 +-Applying beta-rule and splitting (185), into two cases. % 20.77/5.46 |-Branch one: % 20.77/5.46 | (487) all_0_124_124 = e21 % 20.77/5.46 | % 20.77/5.46 | Equations (487) can reduce 405 to: % 20.77/5.46 | (423) $false % 20.77/5.46 | % 20.77/5.46 |-The branch is then unsatisfiable % 20.77/5.46 |-Branch two: % 20.77/5.46 | (405) ~ (all_0_124_124 = e21) % 20.77/5.46 | (490) all_0_124_124 = e23 | all_0_124_124 = e22 % 20.77/5.46 | % 20.77/5.46 +-Applying beta-rule and splitting (128), into two cases. % 20.77/5.46 |-Branch one: % 20.77/5.46 | (499) all_0_124_124 = e22 % 20.77/5.46 | % 20.77/5.46 | Equations (499) can reduce 471 to: % 20.77/5.46 | (423) $false % 20.77/5.46 | % 20.77/5.46 |-The branch is then unsatisfiable % 20.77/5.46 |-Branch two: % 20.77/5.46 | (471) ~ (all_0_124_124 = e22) % 20.77/5.46 | (502) all_0_128_128 = e22 | all_0_132_132 = e22 % 20.77/5.46 | % 20.77/5.46 +-Applying beta-rule and splitting (371), into two cases. % 20.77/5.46 |-Branch one: % 20.77/5.46 | (426) all_0_126_126 = e20 % 20.77/5.46 | % 20.77/5.46 | Combining equations (426,422) yields a new equation: % 20.77/5.46 | (564) e21 = e20 % 20.77/5.46 | % 20.77/5.46 | Equations (564) can reduce 326 to: % 20.77/5.46 | (423) $false % 20.77/5.46 | % 20.77/5.46 |-The branch is then unsatisfiable % 20.77/5.46 |-Branch two: % 20.77/5.46 | (460) ~ (all_0_126_126 = e20) % 20.77/5.46 | (461) all_0_130_130 = e20 | all_0_134_134 = e20 % 20.77/5.46 | % 20.77/5.46 | Equations (422) can reduce 460 to: % 20.77/5.46 | (326) ~ (e21 = e20) % 20.77/5.46 | % 20.77/5.46 +-Applying beta-rule and splitting (150), into two cases. % 20.77/5.46 |-Branch one: % 20.77/5.46 | (528) all_0_131_131 = e20 % 20.77/5.46 | % 20.77/5.46 | Equations (528) can reduce 512 to: % 20.77/5.46 | (423) $false % 20.77/5.46 | % 20.77/5.46 |-The branch is then unsatisfiable % 20.77/5.46 |-Branch two: % 20.77/5.46 | (512) ~ (all_0_131_131 = e20) % 20.77/5.46 | (5345) all_0_133_133 = e20 | all_0_134_134 = e20 % 20.77/5.46 | % 20.77/5.46 +-Applying beta-rule and splitting (188), into two cases. % 20.77/5.46 |-Branch one: % 20.77/5.46 | (528) all_0_131_131 = e20 % 20.77/5.46 | % 20.77/5.46 | Equations (528) can reduce 512 to: % 20.77/5.46 | (423) $false % 20.77/5.46 | % 20.77/5.46 |-The branch is then unsatisfiable % 20.77/5.46 |-Branch two: % 20.77/5.46 | (512) ~ (all_0_131_131 = e20) % 20.77/5.46 | (4763) all_0_131_131 = e23 | all_0_131_131 = e22 % 20.77/5.46 | % 20.77/5.46 +-Applying beta-rule and splitting (202), into two cases. % 20.77/5.46 |-Branch one: % 20.77/5.46 | (491) all_0_127_127 = e22 % 20.77/5.46 | % 20.77/5.46 | Combining equations (491,804) yields a new equation: % 20.77/5.46 | (780) e22 = e20 % 20.77/5.46 | % 20.77/5.46 | Simplifying 780 yields: % 20.77/5.46 | (429) e22 = e20 % 20.77/5.46 | % 20.77/5.46 | Equations (429) can reduce 121 to: % 20.77/5.46 | (423) $false % 20.77/5.46 | % 20.77/5.46 |-The branch is then unsatisfiable % 20.77/5.46 |-Branch two: % 20.77/5.46 | (593) ~ (all_0_127_127 = e22) % 20.77/5.46 | (594) all_0_128_128 = e22 | all_0_130_130 = e22 % 20.77/5.46 | % 20.77/5.46 +-Applying beta-rule and splitting (4763), into two cases. % 20.77/5.46 |-Branch one: % 20.77/5.46 | (628) all_0_131_131 = e22 % 20.77/5.46 | % 20.77/5.46 | Equations (628) can reduce 4868 to: % 20.77/5.46 | (423) $false % 20.77/5.46 | % 20.77/5.46 |-The branch is then unsatisfiable % 20.77/5.46 |-Branch two: % 20.77/5.46 | (4868) ~ (all_0_131_131 = e22) % 20.77/5.46 | (519) all_0_131_131 = e23 % 20.77/5.46 | % 20.77/5.46 +-Applying beta-rule and splitting (5345), into two cases. % 20.77/5.46 |-Branch one: % 20.77/5.46 | (511) all_0_133_133 = e20 % 20.77/5.46 | % 20.77/5.46 | Combining equations (511,495) yields a new equation: % 20.77/5.46 | (564) e21 = e20 % 20.77/5.46 | % 20.77/5.46 | Equations (564) can reduce 326 to: % 20.77/5.46 | (423) $false % 20.77/5.46 | % 20.77/5.46 |-The branch is then unsatisfiable % 20.77/5.46 |-Branch two: % 20.77/5.46 | (590) ~ (all_0_133_133 = e20) % 20.77/5.46 | (652) all_0_134_134 = e20 % 20.77/5.46 | % 20.77/5.46 | Equations (652) can reduce 53 to: % 20.77/5.46 | (572) ~ (all_0_130_130 = e20) % 20.77/5.46 | % 20.77/5.46 +-Applying beta-rule and splitting (594), into two cases. % 20.77/5.46 |-Branch one: % 20.77/5.46 | (503) all_0_128_128 = e22 % 20.77/5.46 | % 20.77/5.46 | Combining equations (404,503) yields a new equation: % 20.77/5.46 | (447) e22 = e21 % 20.77/5.46 | % 20.77/5.46 | Equations (447) can reduce 248 to: % 20.77/5.46 | (423) $false % 20.77/5.46 | % 20.77/5.46 |-The branch is then unsatisfiable % 20.77/5.46 |-Branch two: % 20.77/5.46 | (507) ~ (all_0_128_128 = e22) % 20.77/5.46 | (433) all_0_130_130 = e22 % 20.77/5.46 | % 20.77/5.46 | Equations (433) can reduce 572 to: % 20.77/5.46 | (121) ~ (e22 = e20) % 20.77/5.46 | % 20.77/5.46 +-Applying beta-rule and splitting (490), into two cases. % 20.77/5.46 |-Branch one: % 20.77/5.46 | (499) all_0_124_124 = e22 % 20.77/5.46 | % 20.77/5.46 | Equations (499) can reduce 471 to: % 20.77/5.46 | (423) $false % 20.77/5.46 | % 20.77/5.46 |-The branch is then unsatisfiable % 20.77/5.46 |-Branch two: % 20.77/5.46 | (471) ~ (all_0_124_124 = e22) % 20.77/5.46 | (618) all_0_124_124 = e23 % 20.77/5.46 | % 20.77/5.46 | Equations (618) can reduce 471 to: % 20.77/5.46 | (28) ~ (e23 = e22) % 20.77/5.46 | % 20.77/5.46 | Equations (618) can reduce 405 to: % 20.77/5.46 | (288) ~ (e23 = e21) % 20.77/5.46 | % 20.77/5.46 | Equations (618) can reduce 217 to: % 20.77/5.46 | (276) ~ (e23 = e20) % 20.77/5.46 | % 20.77/5.46 | From (618) and (254) follows: % 20.77/5.46 | (5379) op2(e23, e22) = all_0_102_102 % 20.77/5.46 | % 20.77/5.46 +-Applying beta-rule and splitting (322), into two cases. % 20.77/5.46 |-Branch one: % 20.77/5.46 | (628) all_0_131_131 = e22 % 20.77/5.46 | % 20.77/5.46 | Combining equations (628,519) yields a new equation: % 20.77/5.46 | (584) e23 = e22 % 20.77/5.46 | % 20.77/5.46 | Equations (584) can reduce 28 to: % 20.77/5.46 | (423) $false % 20.77/5.46 | % 20.77/5.46 |-The branch is then unsatisfiable % 20.77/5.46 |-Branch two: % 20.77/5.46 | (4868) ~ (all_0_131_131 = e22) % 20.77/5.46 | (5187) all_0_132_132 = e22 | all_0_134_134 = e22 % 20.77/5.46 | % 20.77/5.46 +-Applying beta-rule and splitting (5187), into two cases. % 20.77/5.46 |-Branch one: % 20.77/5.46 | (508) all_0_132_132 = e22 % 20.77/5.46 | % 20.77/5.46 | Equations (508) can reduce 396 to: % 20.77/5.46 | (248) ~ (e22 = e21) % 20.77/5.46 | % 20.77/5.46 | From (508) and (172) follows: % 20.77/5.46 | (5387) op2(e22, e20) = all_0_104_104 % 20.77/5.46 | % 20.77/5.46 | Instantiating formula (3) with e23, e22, all_0_102_102, e20 and discharging atoms op2(e23, e22) = all_0_102_102, op2(e23, e22) = e20, yields: % 20.77/5.46 | (5388) all_0_102_102 = e20 % 20.77/5.46 | % 20.77/5.46 | Instantiating formula (3) with e22, e20, all_0_104_104, e21 and discharging atoms op2(e22, e20) = all_0_104_104, op2(e22, e20) = e21, yields: % 20.77/5.46 | (5389) all_0_104_104 = e21 % 20.77/5.46 | % 20.77/5.46 +-Applying beta-rule and splitting (5), into two cases. % 20.77/5.46 |-Branch one: % 20.77/5.46 | (528) all_0_131_131 = e20 % 20.77/5.46 | % 20.77/5.46 | Combining equations (519,528) yields a new equation: % 20.77/5.46 | (529) e23 = e20 % 20.77/5.46 | % 20.77/5.46 | Simplifying 529 yields: % 20.77/5.46 | (522) e23 = e20 % 20.77/5.46 | % 20.77/5.46 | Equations (522) can reduce 276 to: % 20.77/5.46 | (423) $false % 20.77/5.46 | % 20.77/5.46 |-The branch is then unsatisfiable % 20.77/5.46 |-Branch two: % 20.77/5.46 | (512) ~ (all_0_131_131 = e20) % 20.77/5.46 | (5395) all_0_102_102 = all_0_124_124 | all_0_103_103 = all_0_128_128 | all_0_104_104 = all_0_132_132 % 20.77/5.46 | % 20.77/5.46 | Equations (519) can reduce 512 to: % 20.77/5.46 | (276) ~ (e23 = e20) % 20.77/5.46 | % 20.77/5.46 +-Applying beta-rule and splitting (5395), into two cases. % 20.77/5.46 |-Branch one: % 20.77/5.46 | (5397) all_0_102_102 = all_0_124_124 % 20.77/5.46 | % 20.77/5.46 | Combining equations (5388,5397) yields a new equation: % 20.77/5.46 | (5398) all_0_124_124 = e20 % 20.77/5.46 | % 20.77/5.46 | Combining equations (5398,618) yields a new equation: % 20.77/5.46 | (522) e23 = e20 % 20.77/5.46 | % 20.77/5.46 | Equations (522) can reduce 276 to: % 20.77/5.46 | (423) $false % 20.77/5.46 | % 20.77/5.46 |-The branch is then unsatisfiable % 20.77/5.46 |-Branch two: % 20.77/5.46 | (5401) ~ (all_0_102_102 = all_0_124_124) % 20.77/5.46 | (5402) all_0_103_103 = all_0_128_128 | all_0_104_104 = all_0_132_132 % 20.77/5.46 | % 20.77/5.46 +-Applying beta-rule and splitting (5402), into two cases. % 20.77/5.46 |-Branch one: % 20.77/5.46 | (5403) all_0_103_103 = all_0_128_128 % 20.77/5.46 | % 20.77/5.46 | Combining equations (5304,5403) yields a new equation: % 20.77/5.46 | (820) all_0_128_128 = e23 % 20.77/5.46 | % 20.77/5.46 | Combining equations (820,404) yields a new equation: % 20.77/5.46 | (4650) e23 = e21 % 20.77/5.46 | % 20.77/5.46 | Simplifying 4650 yields: % 20.77/5.46 | (4651) e23 = e21 % 20.77/5.46 | % 20.77/5.46 | Equations (4651) can reduce 288 to: % 20.77/5.46 | (423) $false % 20.77/5.46 | % 20.77/5.46 |-The branch is then unsatisfiable % 20.77/5.46 |-Branch two: % 20.77/5.46 | (5408) ~ (all_0_103_103 = all_0_128_128) % 20.77/5.46 | (5409) all_0_104_104 = all_0_132_132 % 20.77/5.46 | % 20.77/5.46 | Combining equations (5389,5409) yields a new equation: % 20.77/5.46 | (924) all_0_132_132 = e21 % 20.77/5.46 | % 20.77/5.46 | Combining equations (924,508) yields a new equation: % 20.77/5.46 | (447) e22 = e21 % 20.77/5.46 | % 20.77/5.46 | Equations (447) can reduce 248 to: % 20.77/5.46 | (423) $false % 20.77/5.46 | % 20.77/5.46 |-The branch is then unsatisfiable % 20.77/5.47 |-Branch two: % 20.77/5.47 | (545) ~ (all_0_132_132 = e22) % 20.77/5.47 | (452) all_0_134_134 = e22 % 20.77/5.47 | % 20.77/5.47 | Combining equations (652,452) yields a new equation: % 20.77/5.47 | (429) e22 = e20 % 20.77/5.47 | % 20.77/5.47 | Equations (429) can reduce 121 to: % 20.77/5.47 | (423) $false % 20.77/5.47 | % 20.77/5.47 |-The branch is then unsatisfiable % 20.77/5.47 |-Branch two: % 20.77/5.47 | (849) ~ (all_0_127_127 = e20) % 20.77/5.47 | (4953) all_0_127_127 = e23 | all_0_127_127 = e22 % 20.77/5.47 | % 20.77/5.47 +-Applying beta-rule and splitting (22), into two cases. % 20.77/5.47 |-Branch one: % 20.77/5.47 | (462) all_0_123_123 = e20 % 20.77/5.47 | % 20.77/5.47 | Combining equations (462,539) yields a new equation: % 20.77/5.47 | (429) e22 = e20 % 20.77/5.47 | % 20.77/5.47 | Equations (429) can reduce 121 to: % 20.77/5.47 | (423) $false % 20.77/5.47 | % 20.77/5.47 |-The branch is then unsatisfiable % 20.77/5.47 |-Branch two: % 20.77/5.47 | (655) ~ (all_0_123_123 = e20) % 20.77/5.47 | (679) all_0_127_127 = e20 | all_0_131_131 = e20 % 20.77/5.47 | % 20.77/5.47 | Equations (539) can reduce 655 to: % 20.77/5.47 | (121) ~ (e22 = e20) % 20.77/5.47 | % 20.77/5.47 +-Applying beta-rule and splitting (202), into two cases. % 20.77/5.47 |-Branch one: % 20.77/5.47 | (491) all_0_127_127 = e22 % 20.77/5.47 | % 20.77/5.47 | Equations (491) can reduce 593 to: % 20.77/5.47 | (423) $false % 20.77/5.47 | % 20.77/5.47 |-The branch is then unsatisfiable % 20.77/5.47 |-Branch two: % 20.77/5.47 | (593) ~ (all_0_127_127 = e22) % 20.77/5.47 | (594) all_0_128_128 = e22 | all_0_130_130 = e22 % 20.77/5.47 | % 20.77/5.47 +-Applying beta-rule and splitting (185), into two cases. % 20.77/5.47 |-Branch one: % 20.77/5.47 | (487) all_0_124_124 = e21 % 20.77/5.47 | % 20.77/5.47 | Equations (487) can reduce 405 to: % 20.77/5.47 | (423) $false % 20.77/5.47 | % 20.77/5.47 |-The branch is then unsatisfiable % 20.77/5.47 |-Branch two: % 20.77/5.47 | (405) ~ (all_0_124_124 = e21) % 20.77/5.47 | (490) all_0_124_124 = e23 | all_0_124_124 = e22 % 20.77/5.47 | % 20.77/5.47 +-Applying beta-rule and splitting (199), into two cases. % 20.77/5.47 |-Branch one: % 20.77/5.47 | (521) all_0_123_123 = e23 % 20.77/5.47 | % 20.77/5.47 | Combining equations (521,539) yields a new equation: % 20.77/5.47 | (583) e23 = e22 % 20.77/5.47 | % 20.77/5.47 | Simplifying 583 yields: % 20.77/5.47 | (584) e23 = e22 % 20.77/5.47 | % 20.77/5.47 | Equations (584) can reduce 28 to: % 20.77/5.47 | (423) $false % 20.77/5.47 | % 20.77/5.47 |-The branch is then unsatisfiable % 20.77/5.47 |-Branch two: % 20.77/5.47 | (524) ~ (all_0_123_123 = e23) % 20.77/5.47 | (525) all_0_124_124 = e23 | all_0_125_125 = e23 % 20.77/5.47 | % 20.77/5.47 +-Applying beta-rule and splitting (525), into two cases. % 20.77/5.47 |-Branch one: % 20.77/5.47 | (618) all_0_124_124 = e23 % 20.77/5.47 | % 20.77/5.47 | Equations (618) can reduce 350 to: % 20.77/5.47 | (5440) ~ (all_0_132_132 = e23) % 20.77/5.47 | % 20.77/5.47 | Simplifying 5440 yields: % 20.77/5.47 | (586) ~ (all_0_132_132 = e23) % 20.77/5.47 | % 20.77/5.47 | Equations (618) can reduce 405 to: % 20.77/5.47 | (288) ~ (e23 = e21) % 20.77/5.47 | % 20.77/5.47 +-Applying beta-rule and splitting (42), into two cases. % 20.77/5.47 |-Branch one: % 20.77/5.47 | (519) all_0_131_131 = e23 % 20.77/5.47 | % 20.77/5.47 | Equations (519) can reduce 26 to: % 20.77/5.47 | (5444) ~ (all_0_134_134 = e23) % 20.77/5.47 | % 20.77/5.47 | Simplifying 5444 yields: % 20.77/5.47 | (40) ~ (all_0_134_134 = e23) % 20.77/5.47 | % 20.77/5.47 +-Applying beta-rule and splitting (594), into two cases. % 20.77/5.47 |-Branch one: % 20.77/5.47 | (503) all_0_128_128 = e22 % 20.77/5.47 | % 20.77/5.47 | Combining equations (503,404) yields a new equation: % 20.77/5.47 | (457) e22 = e21 % 20.77/5.47 | % 20.77/5.47 | Simplifying 457 yields: % 20.77/5.47 | (447) e22 = e21 % 20.77/5.47 | % 20.77/5.47 | Equations (447) can reduce 248 to: % 20.77/5.47 | (423) $false % 20.77/5.47 | % 20.77/5.47 |-The branch is then unsatisfiable % 20.77/5.47 |-Branch two: % 20.77/5.47 | (507) ~ (all_0_128_128 = e22) % 20.77/5.47 | (433) all_0_130_130 = e22 % 20.77/5.47 | % 20.77/5.47 +-Applying beta-rule and splitting (371), into two cases. % 20.77/5.47 |-Branch one: % 20.77/5.47 | (426) all_0_126_126 = e20 % 20.77/5.47 | % 20.77/5.47 | Combining equations (422,426) yields a new equation: % 20.77/5.47 | (2781) e21 = e20 % 20.77/5.47 | % 20.77/5.47 | Simplifying 2781 yields: % 20.77/5.47 | (564) e21 = e20 % 20.77/5.47 | % 20.77/5.47 | Equations (564) can reduce 326 to: % 20.77/5.47 | (423) $false % 20.77/5.47 | % 20.77/5.47 |-The branch is then unsatisfiable % 20.77/5.47 |-Branch two: % 20.77/5.47 | (460) ~ (all_0_126_126 = e20) % 20.77/5.47 | (461) all_0_130_130 = e20 | all_0_134_134 = e20 % 20.77/5.47 | % 20.77/5.47 +-Applying beta-rule and splitting (461), into two cases. % 20.77/5.47 |-Branch one: % 20.77/5.47 | (473) all_0_130_130 = e20 % 20.77/5.47 | % 20.77/5.47 | Combining equations (473,433) yields a new equation: % 20.77/5.47 | (429) e22 = e20 % 20.77/5.47 | % 20.77/5.47 | Equations (429) can reduce 121 to: % 20.77/5.47 | (423) $false % 20.77/5.47 | % 20.77/5.47 |-The branch is then unsatisfiable % 20.77/5.47 |-Branch two: % 20.77/5.47 | (572) ~ (all_0_130_130 = e20) % 20.77/5.47 | (652) all_0_134_134 = e20 % 20.77/5.47 | % 20.77/5.47 | Equations (652) can reduce 40 to: % 20.77/5.47 | (513) ~ (e23 = e20) % 20.77/5.47 | % 20.77/5.47 | Simplifying 513 yields: % 20.77/5.47 | (276) ~ (e23 = e20) % 20.77/5.47 | % 20.77/5.47 +-Applying beta-rule and splitting (130), into two cases. % 20.77/5.47 |-Branch one: % 20.77/5.47 | (804) all_0_127_127 = e20 % 20.77/5.47 | % 20.77/5.47 | Equations (804) can reduce 849 to: % 20.77/5.47 | (423) $false % 20.77/5.47 | % 20.77/5.47 |-The branch is then unsatisfiable % 20.77/5.47 |-Branch two: % 20.77/5.47 | (849) ~ (all_0_127_127 = e20) % 20.77/5.47 | (850) all_0_129_129 = e20 | all_0_130_130 = e20 % 20.77/5.47 | % 20.77/5.47 +-Applying beta-rule and splitting (679), into two cases. % 20.77/5.47 |-Branch one: % 20.77/5.47 | (804) all_0_127_127 = e20 % 20.77/5.47 | % 20.77/5.47 | Equations (804) can reduce 849 to: % 20.77/5.47 | (423) $false % 20.77/5.47 | % 20.77/5.47 |-The branch is then unsatisfiable % 20.77/5.47 |-Branch two: % 20.77/5.47 | (849) ~ (all_0_127_127 = e20) % 20.77/5.47 | (528) all_0_131_131 = e20 % 20.77/5.47 | % 20.77/5.47 | Combining equations (528,519) yields a new equation: % 20.77/5.47 | (522) e23 = e20 % 20.77/5.47 | % 20.77/5.47 | Equations (522) can reduce 276 to: % 20.77/5.47 | (423) $false % 20.77/5.47 | % 20.77/5.47 |-The branch is then unsatisfiable % 20.77/5.47 |-Branch two: % 20.77/5.47 | (548) ~ (all_0_131_131 = e23) % 20.77/5.47 | (581) all_0_132_132 = e23 | all_0_133_133 = e23 % 20.77/5.47 | % 20.77/5.47 +-Applying beta-rule and splitting (581), into two cases. % 20.77/5.47 |-Branch one: % 20.77/5.47 | (582) all_0_132_132 = e23 % 20.77/5.47 | % 20.77/5.47 | Equations (582) can reduce 586 to: % 20.77/5.47 | (423) $false % 20.77/5.47 | % 20.77/5.47 |-The branch is then unsatisfiable % 20.77/5.47 |-Branch two: % 20.77/5.47 | (586) ~ (all_0_132_132 = e23) % 20.77/5.47 | (587) all_0_133_133 = e23 % 20.77/5.47 | % 20.77/5.47 | Combining equations (495,587) yields a new equation: % 20.77/5.47 | (4651) e23 = e21 % 20.77/5.47 | % 20.77/5.47 | Equations (4651) can reduce 288 to: % 20.77/5.47 | (423) $false % 20.77/5.47 | % 20.77/5.47 |-The branch is then unsatisfiable % 20.77/5.47 |-Branch two: % 20.77/5.47 | (540) ~ (all_0_124_124 = e23) % 20.77/5.47 | (775) all_0_125_125 = e23 % 20.77/5.47 | % 20.77/5.47 | Combining equations (772,775) yields a new equation: % 20.77/5.47 | (522) e23 = e20 % 20.77/5.47 | % 20.77/5.47 | Equations (522) can reduce 276 to: % 20.77/5.47 | (423) $false % 20.77/5.47 | % 20.77/5.47 |-The branch is then unsatisfiable % 20.77/5.47 |-Branch two: % 20.77/5.47 | (623) ~ (all_0_123_123 = e22) % 20.77/5.47 | (5488) all_0_105_105 = all_0_125_125 | all_0_106_106 = all_0_129_129 | all_0_107_107 = all_0_133_133 % 20.77/5.47 | % 20.77/5.47 +-Applying beta-rule and splitting (259), into two cases. % 20.77/5.47 |-Branch one: % 20.77/5.47 | (539) all_0_123_123 = e22 % 20.77/5.47 | % 20.77/5.47 | Equations (539) can reduce 623 to: % 20.77/5.47 | (423) $false % 20.77/5.47 | % 20.77/5.47 |-The branch is then unsatisfiable % 20.77/5.47 |-Branch two: % 20.77/5.47 | (623) ~ (all_0_123_123 = e22) % 20.77/5.47 | (840) all_0_124_124 = e22 | all_0_126_126 = e22 % 20.77/5.47 | % 20.77/5.47 +-Applying beta-rule and splitting (840), into two cases. % 20.77/5.47 |-Branch one: % 20.77/5.47 | (499) all_0_124_124 = e22 % 20.77/5.47 | % 20.77/5.47 | Equations (499) can reduce 350 to: % 20.77/5.47 | (953) ~ (all_0_132_132 = e22) % 20.77/5.47 | % 20.77/5.47 | Simplifying 953 yields: % 20.77/5.47 | (545) ~ (all_0_132_132 = e22) % 20.77/5.47 | % 20.77/5.47 | Equations (499) can reduce 405 to: % 20.77/5.47 | (248) ~ (e22 = e21) % 20.77/5.47 | % 20.77/5.47 | Equations (499) can reduce 217 to: % 20.77/5.47 | (121) ~ (e22 = e20) % 20.77/5.47 | % 20.77/5.47 +-Applying beta-rule and splitting (199), into two cases. % 20.77/5.47 |-Branch one: % 20.77/5.47 | (521) all_0_123_123 = e23 % 20.77/5.47 | % 20.77/5.47 | Equations (521) can reduce 304 to: % 20.77/5.47 | (5499) ~ (all_0_127_127 = e23) % 20.77/5.47 | % 20.77/5.47 | Simplifying 5499 yields: % 20.77/5.47 | (483) ~ (all_0_127_127 = e23) % 20.77/5.47 | % 20.77/5.47 | Equations (521) can reduce 208 to: % 20.77/5.47 | (5501) ~ (all_0_131_131 = e23) % 20.77/5.47 | % 20.77/5.47 | Simplifying 5501 yields: % 20.77/5.47 | (548) ~ (all_0_131_131 = e23) % 20.77/5.47 | % 20.77/5.47 | Equations (521) can reduce 353 to: % 20.77/5.47 | (288) ~ (e23 = e21) % 20.77/5.47 | % 20.77/5.47 +-Applying beta-rule and splitting (42), into two cases. % 20.77/5.47 |-Branch one: % 20.77/5.47 | (519) all_0_131_131 = e23 % 20.77/5.47 | % 20.77/5.47 | Equations (519) can reduce 548 to: % 20.77/5.47 | (423) $false % 20.77/5.47 | % 20.77/5.47 |-The branch is then unsatisfiable % 20.77/5.47 |-Branch two: % 20.77/5.47 | (548) ~ (all_0_131_131 = e23) % 20.77/5.47 | (581) all_0_132_132 = e23 | all_0_133_133 = e23 % 20.77/5.47 | % 20.77/5.47 +-Applying beta-rule and splitting (581), into two cases. % 20.77/5.47 |-Branch one: % 20.77/5.47 | (582) all_0_132_132 = e23 % 20.77/5.47 | % 20.77/5.47 | Combining equations (582,5311) yields a new equation: % 20.77/5.47 | (5509) all_0_105_105 = e23 % 20.77/5.47 | % 20.77/5.47 | Equations (582) can reduce 81 to: % 20.77/5.47 | (548) ~ (all_0_131_131 = e23) % 20.77/5.47 | % 20.77/5.47 | Equations (582) can reduce 242 to: % 21.14/5.47 | (5444) ~ (all_0_134_134 = e23) % 21.14/5.47 | % 21.14/5.47 | Simplifying 5444 yields: % 21.14/5.47 | (40) ~ (all_0_134_134 = e23) % 21.14/5.47 | % 21.14/5.47 | Equations (582) can reduce 545 to: % 21.14/5.47 | (28) ~ (e23 = e22) % 21.14/5.47 | % 21.14/5.47 +-Applying beta-rule and splitting (325), into two cases. % 21.14/5.47 |-Branch one: % 21.14/5.47 | (528) all_0_131_131 = e20 % 21.14/5.47 | % 21.14/5.47 | Equations (528) can reduce 131 to: % 21.14/5.47 | (849) ~ (all_0_127_127 = e20) % 21.14/5.47 | % 21.14/5.47 | Equations (528) can reduce 548 to: % 21.14/5.47 | (513) ~ (e23 = e20) % 21.14/5.47 | % 21.14/5.47 | Simplifying 513 yields: % 21.14/5.47 | (276) ~ (e23 = e20) % 21.14/5.47 | % 21.14/5.47 +-Applying beta-rule and splitting (174), into two cases. % 21.14/5.47 |-Branch one: % 21.14/5.47 | (804) all_0_127_127 = e20 % 21.14/5.47 | % 21.14/5.47 | Equations (804) can reduce 849 to: % 21.14/5.47 | (423) $false % 21.14/5.47 | % 21.14/5.47 |-The branch is then unsatisfiable % 21.14/5.47 |-Branch two: % 21.14/5.47 | (849) ~ (all_0_127_127 = e20) % 21.14/5.48 | (4953) all_0_127_127 = e23 | all_0_127_127 = e22 % 21.14/5.48 | % 21.14/5.48 +-Applying beta-rule and splitting (322), into two cases. % 21.14/5.48 |-Branch one: % 21.14/5.48 | (628) all_0_131_131 = e22 % 21.14/5.48 | % 21.14/5.48 | Combining equations (628,528) yields a new equation: % 21.14/5.48 | (780) e22 = e20 % 21.14/5.48 | % 21.14/5.48 | Simplifying 780 yields: % 21.14/5.48 | (429) e22 = e20 % 21.14/5.48 | % 21.14/5.48 | Equations (429) can reduce 121 to: % 21.14/5.48 | (423) $false % 21.14/5.48 | % 21.14/5.48 |-The branch is then unsatisfiable % 21.14/5.48 |-Branch two: % 21.14/5.48 | (4868) ~ (all_0_131_131 = e22) % 21.14/5.48 | (5187) all_0_132_132 = e22 | all_0_134_134 = e22 % 21.14/5.48 | % 21.14/5.48 +-Applying beta-rule and splitting (5187), into two cases. % 21.14/5.48 |-Branch one: % 21.14/5.48 | (508) all_0_132_132 = e22 % 21.14/5.48 | % 21.14/5.48 | Combining equations (582,508) yields a new equation: % 21.14/5.48 | (583) e23 = e22 % 21.14/5.48 | % 21.14/5.48 | Simplifying 583 yields: % 21.14/5.48 | (584) e23 = e22 % 21.14/5.48 | % 21.14/5.48 | Equations (584) can reduce 28 to: % 21.14/5.48 | (423) $false % 21.14/5.48 | % 21.14/5.48 |-The branch is then unsatisfiable % 21.14/5.48 |-Branch two: % 21.14/5.48 | (545) ~ (all_0_132_132 = e22) % 21.14/5.48 | (452) all_0_134_134 = e22 % 21.14/5.48 | % 21.14/5.48 | Equations (452) can reduce 53 to: % 21.14/5.48 | (455) ~ (all_0_130_130 = e22) % 21.14/5.48 | % 21.14/5.48 | Equations (452) can reduce 40 to: % 21.14/5.48 | (492) ~ (e23 = e22) % 21.14/5.48 | % 21.14/5.48 | Simplifying 492 yields: % 21.14/5.48 | (28) ~ (e23 = e22) % 21.14/5.48 | % 21.14/5.48 +-Applying beta-rule and splitting (130), into two cases. % 21.14/5.48 |-Branch one: % 21.14/5.48 | (804) all_0_127_127 = e20 % 21.14/5.48 | % 21.14/5.48 | Equations (804) can reduce 849 to: % 21.14/5.48 | (423) $false % 21.14/5.48 | % 21.14/5.48 |-The branch is then unsatisfiable % 21.14/5.48 |-Branch two: % 21.14/5.48 | (849) ~ (all_0_127_127 = e20) % 21.14/5.48 | (850) all_0_129_129 = e20 | all_0_130_130 = e20 % 21.14/5.48 | % 21.14/5.48 +-Applying beta-rule and splitting (356), into two cases. % 21.14/5.48 |-Branch one: % 21.14/5.48 | (446) all_0_130_130 = e21 % 21.14/5.48 | % 21.14/5.48 | Equations (446) can reduce 395 to: % 21.14/5.48 | (423) $false % 21.14/5.48 | % 21.14/5.48 |-The branch is then unsatisfiable % 21.14/5.48 |-Branch two: % 21.14/5.48 | (395) ~ (all_0_130_130 = e21) % 21.14/5.48 | (4759) all_0_130_130 = e22 | all_0_130_130 = e20 % 21.14/5.48 | % 21.14/5.48 +-Applying beta-rule and splitting (850), into two cases. % 21.14/5.48 |-Branch one: % 21.14/5.48 | (479) all_0_129_129 = e20 % 21.14/5.48 | % 21.14/5.48 | Combining equations (482,479) yields a new equation: % 21.14/5.48 | (529) e23 = e20 % 21.14/5.48 | % 21.14/5.48 | Simplifying 529 yields: % 21.14/5.48 | (522) e23 = e20 % 21.14/5.48 | % 21.14/5.48 | Equations (522) can reduce 276 to: % 21.14/5.48 | (423) $false % 21.14/5.48 | % 21.14/5.48 |-The branch is then unsatisfiable % 21.14/5.48 |-Branch two: % 21.14/5.48 | (474) ~ (all_0_129_129 = e20) % 21.14/5.48 | (473) all_0_130_130 = e20 % 21.14/5.48 | % 21.14/5.48 | Combining equations (473,5258) yields a new equation: % 21.14/5.48 | (5551) all_0_107_107 = e20 % 21.14/5.48 | % 21.14/5.48 | Equations (473) can reduce 265 to: % 21.14/5.48 | (513) ~ (e23 = e20) % 21.14/5.48 | % 21.14/5.48 | Simplifying 513 yields: % 21.14/5.48 | (276) ~ (e23 = e20) % 21.14/5.48 | % 21.14/5.48 | Equations (473) can reduce 455 to: % 21.14/5.48 | (515) ~ (e22 = e20) % 21.14/5.48 | % 21.14/5.48 | Simplifying 515 yields: % 21.14/5.48 | (121) ~ (e22 = e20) % 21.14/5.48 | % 21.14/5.48 | Equations (473) can reduce 395 to: % 21.14/5.48 | (465) ~ (e21 = e20) % 21.14/5.48 | % 21.14/5.48 | Simplifying 465 yields: % 21.14/5.48 | (326) ~ (e21 = e20) % 21.14/5.48 | % 21.14/5.48 +-Applying beta-rule and splitting (308), into two cases. % 21.14/5.48 |-Branch one: % 21.14/5.48 | (539) all_0_123_123 = e22 % 21.14/5.48 | % 21.14/5.48 | Combining equations (521,539) yields a new equation: % 21.14/5.48 | (583) e23 = e22 % 21.14/5.48 | % 21.14/5.48 | Simplifying 583 yields: % 21.14/5.48 | (584) e23 = e22 % 21.14/5.48 | % 21.14/5.48 | Equations (584) can reduce 28 to: % 21.14/5.48 | (423) $false % 21.14/5.48 | % 21.14/5.48 |-The branch is then unsatisfiable % 21.14/5.48 |-Branch two: % 21.14/5.48 | (623) ~ (all_0_123_123 = e22) % 21.14/5.48 | (624) all_0_127_127 = e22 | all_0_131_131 = e22 % 21.14/5.48 | % 21.14/5.48 +-Applying beta-rule and splitting (624), into two cases. % 21.14/5.48 |-Branch one: % 21.14/5.48 | (491) all_0_127_127 = e22 % 21.14/5.48 | % 21.14/5.48 | Equations (491) can reduce 483 to: % 21.14/5.48 | (492) ~ (e23 = e22) % 21.14/5.48 | % 21.14/5.48 | Simplifying 492 yields: % 21.14/5.48 | (28) ~ (e23 = e22) % 21.14/5.48 | % 21.14/5.48 +-Applying beta-rule and splitting (5488), into two cases. % 21.14/5.48 |-Branch one: % 21.14/5.48 | (5567) all_0_105_105 = all_0_125_125 % 21.14/5.48 | % 21.14/5.48 | Combining equations (5567,5509) yields a new equation: % 21.14/5.48 | (5568) all_0_125_125 = e23 % 21.14/5.48 | % 21.14/5.48 | Simplifying 5568 yields: % 21.14/5.48 | (775) all_0_125_125 = e23 % 21.14/5.48 | % 21.14/5.48 | Combining equations (775,772) yields a new equation: % 21.14/5.48 | (529) e23 = e20 % 21.14/5.48 | % 21.14/5.48 | Simplifying 529 yields: % 21.14/5.48 | (522) e23 = e20 % 21.14/5.48 | % 21.14/5.48 | Equations (522) can reduce 276 to: % 21.14/5.48 | (423) $false % 21.14/5.48 | % 21.14/5.48 |-The branch is then unsatisfiable % 21.14/5.48 |-Branch two: % 21.14/5.48 | (5573) ~ (all_0_105_105 = all_0_125_125) % 21.14/5.48 | (5574) all_0_106_106 = all_0_129_129 | all_0_107_107 = all_0_133_133 % 21.14/5.48 | % 21.14/5.48 +-Applying beta-rule and splitting (5574), into two cases. % 21.14/5.48 |-Branch one: % 21.14/5.48 | (5575) all_0_106_106 = all_0_129_129 % 21.14/5.48 | % 21.14/5.48 | Combining equations (5310,5575) yields a new equation: % 21.14/5.48 | (5576) all_0_129_129 = e22 % 21.14/5.48 | % 21.14/5.48 | Combining equations (5576,482) yields a new equation: % 21.14/5.48 | (584) e23 = e22 % 21.14/5.48 | % 21.14/5.48 | Equations (584) can reduce 28 to: % 21.14/5.48 | (423) $false % 21.14/5.48 | % 21.14/5.48 |-The branch is then unsatisfiable % 21.14/5.48 |-Branch two: % 21.14/5.48 | (5579) ~ (all_0_106_106 = all_0_129_129) % 21.14/5.48 | (5580) all_0_107_107 = all_0_133_133 % 21.14/5.48 | % 21.14/5.48 | Combining equations (5551,5580) yields a new equation: % 21.14/5.48 | (511) all_0_133_133 = e20 % 21.14/5.48 | % 21.14/5.48 | Combining equations (495,511) yields a new equation: % 21.14/5.48 | (2781) e21 = e20 % 21.14/5.48 | % 21.14/5.48 | Simplifying 2781 yields: % 21.14/5.48 | (564) e21 = e20 % 21.14/5.48 | % 21.14/5.48 | Equations (564) can reduce 326 to: % 21.14/5.48 | (423) $false % 21.14/5.48 | % 21.14/5.48 |-The branch is then unsatisfiable % 21.14/5.48 |-Branch two: % 21.14/5.48 | (593) ~ (all_0_127_127 = e22) % 21.14/5.48 | (628) all_0_131_131 = e22 % 21.14/5.48 | % 21.14/5.48 | Combining equations (628,528) yields a new equation: % 21.14/5.48 | (780) e22 = e20 % 21.14/5.48 | % 21.14/5.48 | Simplifying 780 yields: % 21.14/5.48 | (429) e22 = e20 % 21.14/5.48 | % 21.14/5.48 | Equations (429) can reduce 121 to: % 21.14/5.48 | (423) $false % 21.14/5.48 | % 21.14/5.48 |-The branch is then unsatisfiable % 21.18/5.48 |-Branch two: % 21.18/5.48 | (512) ~ (all_0_131_131 = e20) % 21.18/5.48 | (533) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) | (all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_133_133 = e20 & ~ (all_0_127_127 = e23) & ~ (all_0_128_128 = e22) & ~ (all_0_129_129 = e21) & ~ (all_0_130_130 = e20) & ~ (all_0_134_134 = e21)) | ( ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) % 21.18/5.48 | % 21.18/5.48 +-Applying beta-rule and splitting (150), into two cases. % 21.18/5.48 |-Branch one: % 21.18/5.48 | (528) all_0_131_131 = e20 % 21.18/5.48 | % 21.18/5.48 | Equations (528) can reduce 512 to: % 21.18/5.48 | (423) $false % 21.18/5.48 | % 21.18/5.48 |-The branch is then unsatisfiable % 21.18/5.48 |-Branch two: % 21.18/5.48 | (512) ~ (all_0_131_131 = e20) % 21.18/5.48 | (5345) all_0_133_133 = e20 | all_0_134_134 = e20 % 21.18/5.48 | % 21.18/5.48 +-Applying beta-rule and splitting (5345), into two cases. % 21.18/5.48 |-Branch one: % 21.18/5.48 | (511) all_0_133_133 = e20 % 21.18/5.48 | % 21.18/5.48 | Combining equations (511,495) yields a new equation: % 21.18/5.48 | (564) e21 = e20 % 21.18/5.48 | % 21.18/5.48 | Equations (564) can reduce 326 to: % 21.18/5.48 | (423) $false % 21.18/5.48 | % 21.18/5.48 |-The branch is then unsatisfiable % 21.18/5.48 |-Branch two: % 21.18/5.48 | (590) ~ (all_0_133_133 = e20) % 21.18/5.48 | (652) all_0_134_134 = e20 % 21.18/5.48 | % 21.18/5.48 | Equations (652) can reduce 567 to: % 21.18/5.48 | (465) ~ (e21 = e20) % 21.18/5.48 | % 21.18/5.48 | Simplifying 465 yields: % 21.18/5.48 | (326) ~ (e21 = e20) % 21.18/5.48 | % 21.18/5.48 +-Applying beta-rule and splitting (533), into two cases. % 21.18/5.48 |-Branch one: % 21.18/5.48 | (534) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) | (all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_133_133 = e20 & ~ (all_0_127_127 = e23) & ~ (all_0_128_128 = e22) & ~ (all_0_129_129 = e21) & ~ (all_0_130_130 = e20) & ~ (all_0_134_134 = e21)) % 21.18/5.48 | % 21.18/5.48 +-Applying beta-rule and splitting (534), into two cases. % 21.18/5.48 |-Branch one: % 21.18/5.48 | (535) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) | (all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) % 21.18/5.48 | % 21.18/5.49 +-Applying beta-rule and splitting (535), into two cases. % 21.18/5.49 |-Branch one: % 21.18/5.49 | (536) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) % 21.18/5.49 | % 21.18/5.49 +-Applying beta-rule and splitting (536), into two cases. % 21.18/5.49 |-Branch one: % 21.18/5.49 | (537) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) % 21.18/5.49 | % 21.18/5.49 +-Applying beta-rule and splitting (537), into two cases. % 21.18/5.49 |-Branch one: % 21.18/5.49 | (538) all_0_123_123 = e22 & ~ (all_0_124_124 = e23) % 21.18/5.49 | % 21.18/5.49 | Applying alpha-rule on (538) yields: % 21.18/5.49 | (539) all_0_123_123 = e22 % 21.18/5.49 | (540) ~ (all_0_124_124 = e23) % 21.18/5.49 | % 21.18/5.49 | Combining equations (521,539) yields a new equation: % 21.18/5.49 | (583) e23 = e22 % 21.18/5.49 | % 21.18/5.49 | Simplifying 583 yields: % 21.18/5.49 | (584) e23 = e22 % 21.18/5.49 | % 21.18/5.49 | Equations (584) can reduce 28 to: % 21.18/5.49 | (423) $false % 21.18/5.49 | % 21.18/5.49 |-The branch is then unsatisfiable % 21.18/5.49 |-Branch two: % 21.18/5.49 | (543) all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20) % 21.18/5.49 | % 21.18/5.49 | Applying alpha-rule on (543) yields: % 21.18/5.49 | (428) all_0_126_126 = e22 % 21.18/5.49 | (545) ~ (all_0_132_132 = e22) % 21.18/5.49 | (418) ~ (all_0_133_133 = e21) % 21.18/5.49 | (547) ~ (all_0_134_134 = e20) % 21.18/5.49 | (548) ~ (all_0_131_131 = e23) % 21.18/5.49 | % 21.18/5.49 | Combining equations (422,428) yields a new equation: % 21.18/5.49 | (447) e22 = e21 % 21.18/5.49 | % 21.18/5.49 | Equations (447) can reduce 248 to: % 21.18/5.49 | (423) $false % 21.18/5.49 | % 21.18/5.49 |-The branch is then unsatisfiable % 21.18/5.49 |-Branch two: % 21.18/5.49 | (550) all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20) % 21.18/5.49 | % 21.18/5.49 | Applying alpha-rule on (550) yields: % 21.18/5.49 | (471) ~ (all_0_124_124 = e22) % 21.18/5.49 | (404) all_0_128_128 = e21 % 21.18/5.49 | (553) ~ (all_0_125_125 = e21) % 21.18/5.49 | (460) ~ (all_0_126_126 = e20) % 21.18/5.49 | (524) ~ (all_0_123_123 = e23) % 21.18/5.49 | % 21.18/5.49 | Equations (499) can reduce 471 to: % 21.18/5.49 | (423) $false % 21.18/5.49 | % 21.18/5.49 |-The branch is then unsatisfiable % 21.18/5.49 |-Branch two: % 21.18/5.49 | (557) all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20) % 21.18/5.49 | % 21.18/5.49 | Applying alpha-rule on (557) yields: % 21.18/5.49 | (545) ~ (all_0_132_132 = e22) % 21.18/5.49 | (418) ~ (all_0_133_133 = e21) % 21.18/5.49 | (547) ~ (all_0_134_134 = e20) % 21.18/5.49 | (474) ~ (all_0_129_129 = e20) % 21.18/5.49 | (446) all_0_130_130 = e21 % 21.18/5.49 | (548) ~ (all_0_131_131 = e23) % 21.18/5.49 | % 21.18/5.49 | Equations (652) can reduce 547 to: % 21.18/5.49 | (423) $false % 21.18/5.49 | % 21.18/5.49 |-The branch is then unsatisfiable % 21.18/5.49 |-Branch two: % 21.18/5.49 | (566) all_0_133_133 = e20 & ~ (all_0_127_127 = e23) & ~ (all_0_128_128 = e22) & ~ (all_0_129_129 = e21) & ~ (all_0_130_130 = e20) & ~ (all_0_134_134 = e21) % 21.18/5.49 | % 21.18/5.49 | Applying alpha-rule on (566) yields: % 21.18/5.49 | (567) ~ (all_0_134_134 = e21) % 21.18/5.49 | (511) all_0_133_133 = e20 % 21.18/5.49 | (416) ~ (all_0_129_129 = e21) % 21.18/5.49 | (483) ~ (all_0_127_127 = e23) % 21.18/5.49 | (507) ~ (all_0_128_128 = e22) % 21.18/5.49 | (572) ~ (all_0_130_130 = e20) % 21.18/5.49 | % 21.18/5.49 | Combining equations (495,511) yields a new equation: % 21.18/5.49 | (2781) e21 = e20 % 21.18/5.49 | % 21.18/5.49 | Simplifying 2781 yields: % 21.18/5.49 | (564) e21 = e20 % 21.18/5.49 | % 21.18/5.49 | Equations (564) can reduce 326 to: % 21.18/5.49 | (423) $false % 21.18/5.49 | % 21.18/5.49 |-The branch is then unsatisfiable % 21.18/5.49 |-Branch two: % 21.18/5.49 | (574) ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20) % 21.18/5.49 | % 21.18/5.49 | Applying alpha-rule on (574) yields: % 21.18/5.49 | (548) ~ (all_0_131_131 = e23) % 21.18/5.49 | (545) ~ (all_0_132_132 = e22) % 21.18/5.49 | (418) ~ (all_0_133_133 = e21) % 21.18/5.49 | (547) ~ (all_0_134_134 = e20) % 21.18/5.49 | % 21.18/5.49 | Equations (652) can reduce 547 to: % 21.18/5.49 | (423) $false % 21.18/5.49 | % 21.18/5.49 |-The branch is then unsatisfiable % 21.18/5.49 |-Branch two: % 21.18/5.49 | (586) ~ (all_0_132_132 = e23) % 21.18/5.49 | (587) all_0_133_133 = e23 % 21.18/5.49 | % 21.18/5.49 | Combining equations (495,587) yields a new equation: % 21.18/5.49 | (4651) e23 = e21 % 21.18/5.49 | % 21.18/5.49 | Equations (4651) can reduce 288 to: % 21.18/5.49 | (423) $false % 21.18/5.49 | % 21.18/5.49 |-The branch is then unsatisfiable % 21.18/5.49 |-Branch two: % 21.18/5.49 | (524) ~ (all_0_123_123 = e23) % 21.18/5.49 | (525) all_0_124_124 = e23 | all_0_125_125 = e23 % 21.18/5.49 | % 21.18/5.49 +-Applying beta-rule and splitting (525), into two cases. % 21.18/5.49 |-Branch one: % 21.18/5.49 | (618) all_0_124_124 = e23 % 21.18/5.49 | % 21.18/5.49 | Combining equations (618,499) yields a new equation: % 21.18/5.49 | (583) e23 = e22 % 21.18/5.49 | % 21.18/5.49 | Simplifying 583 yields: % 21.18/5.49 | (584) e23 = e22 % 21.18/5.49 | % 21.18/5.49 | Equations (584) can reduce 28 to: % 21.18/5.49 | (423) $false % 21.18/5.49 | % 21.18/5.49 |-The branch is then unsatisfiable % 21.18/5.49 |-Branch two: % 21.18/5.49 | (540) ~ (all_0_124_124 = e23) % 21.18/5.49 | (775) all_0_125_125 = e23 % 21.18/5.49 | % 21.18/5.49 | Combining equations (772,775) yields a new equation: % 21.18/5.49 | (522) e23 = e20 % 21.18/5.49 | % 21.18/5.49 | Equations (522) can reduce 276 to: % 21.18/5.49 | (423) $false % 21.18/5.49 | % 21.18/5.49 |-The branch is then unsatisfiable % 21.18/5.49 |-Branch two: % 21.18/5.49 | (471) ~ (all_0_124_124 = e22) % 21.18/5.49 | (428) all_0_126_126 = e22 % 21.18/5.49 | % 21.18/5.49 | Combining equations (422,428) yields a new equation: % 21.18/5.49 | (447) e22 = e21 % 21.18/5.49 | % 21.18/5.49 | Equations (447) can reduce 248 to: % 21.18/5.49 | (423) $false % 21.18/5.49 | % 21.18/5.49 |-The branch is then unsatisfiable % 21.18/5.49 |-Branch two: % 21.18/5.49 | (4653) ~ (all_0_129_129 = e23) % 21.18/5.49 | (587) all_0_133_133 = e23 % 21.18/5.49 | % 21.18/5.49 | Combining equations (587,495) yields a new equation: % 21.18/5.49 | (4650) e23 = e21 % 21.18/5.49 | % 21.18/5.49 | Simplifying 4650 yields: % 21.18/5.49 | (4651) e23 = e21 % 21.18/5.49 | % 21.18/5.49 | Equations (4651) can reduce 288 to: % 21.18/5.49 | (423) $false % 21.18/5.49 | % 21.18/5.49 |-The branch is then unsatisfiable % 21.18/5.49 |-Branch two: % 21.18/5.49 | (764) ~ (all_0_125_125 = e20) % 21.18/5.49 | (4872) all_0_129_129 = e20 | all_0_133_133 = e20 % 21.18/5.49 | % 21.18/5.49 +-Applying beta-rule and splitting (4872), into two cases. % 21.18/5.49 |-Branch one: % 21.18/5.49 | (479) all_0_129_129 = e20 % 21.18/5.49 | % 21.18/5.49 | Equations (479) can reduce 234 to: % 21.18/5.49 | (765) ~ (all_0_130_130 = e20) % 21.18/5.49 | % 21.18/5.49 | Simplifying 765 yields: % 21.18/5.49 | (572) ~ (all_0_130_130 = e20) % 21.18/5.49 | % 21.18/5.49 | Equations (479) can reduce 281 to: % 21.18/5.49 | (515) ~ (e22 = e20) % 21.18/5.49 | % 21.18/5.49 | Simplifying 515 yields: % 21.18/5.49 | (121) ~ (e22 = e20) % 21.18/5.49 | % 21.18/5.49 | Equations (479) can reduce 416 to: % 21.18/5.49 | (465) ~ (e21 = e20) % 21.18/5.49 | % 21.18/5.49 | Simplifying 465 yields: % 21.18/5.49 | (326) ~ (e21 = e20) % 21.18/5.49 | % 21.18/5.49 +-Applying beta-rule and splitting (158), into two cases. % 21.18/5.49 |-Branch one: % 21.18/5.49 | (775) all_0_125_125 = e23 % 21.18/5.49 | % 21.18/5.49 | Equations (775) can reduce 323 to: % 21.18/5.49 | (540) ~ (all_0_124_124 = e23) % 21.18/5.49 | % 21.18/5.49 | Equations (775) can reduce 553 to: % 21.18/5.49 | (288) ~ (e23 = e21) % 21.18/5.49 | % 21.18/5.49 +-Applying beta-rule and splitting (362), into two cases. % 21.18/5.49 |-Branch one: % 21.18/5.49 | (462) all_0_123_123 = e20 % 21.18/5.49 | % 21.18/5.49 | Equations (462) can reduce 208 to: % 21.18/5.49 | (897) ~ (all_0_131_131 = e20) % 21.18/5.49 | % 21.18/5.49 | Simplifying 897 yields: % 21.18/5.49 | (512) ~ (all_0_131_131 = e20) % 21.18/5.49 | % 21.18/5.49 | Equations (462) can reduce 353 to: % 21.18/5.49 | (465) ~ (e21 = e20) % 21.18/5.49 | % 21.18/5.49 | Simplifying 465 yields: % 21.18/5.49 | (326) ~ (e21 = e20) % 21.18/5.49 | % 21.18/5.49 +-Applying beta-rule and splitting (278), into two cases. % 21.18/5.49 |-Branch one: % 21.18/5.49 | (618) all_0_124_124 = e23 % 21.18/5.49 | % 21.18/5.49 | Equations (618) can reduce 540 to: % 21.18/5.49 | (423) $false % 21.18/5.49 | % 21.18/5.49 |-The branch is then unsatisfiable % 21.18/5.49 |-Branch two: % 21.18/5.49 | (540) ~ (all_0_124_124 = e23) % 21.18/5.49 | (633) all_0_128_128 = e23 | all_0_132_132 = e23 % 21.18/5.49 | % 21.18/5.49 +-Applying beta-rule and splitting (633), into two cases. % 21.18/5.49 |-Branch one: % 21.18/5.49 | (820) all_0_128_128 = e23 % 21.18/5.49 | % 21.18/5.49 | Combining equations (820,404) yields a new equation: % 21.18/5.49 | (4650) e23 = e21 % 21.18/5.49 | % 21.18/5.49 | Simplifying 4650 yields: % 21.18/5.49 | (4651) e23 = e21 % 21.18/5.49 | % 21.18/5.49 | Equations (4651) can reduce 288 to: % 21.18/5.49 | (423) $false % 21.18/5.49 | % 21.18/5.49 |-The branch is then unsatisfiable % 21.18/5.49 |-Branch two: % 21.18/5.49 | (935) ~ (all_0_128_128 = e23) % 21.18/5.49 | (582) all_0_132_132 = e23 % 21.18/5.49 | % 21.18/5.49 | Equations (582) can reduce 242 to: % 21.18/5.49 | (5444) ~ (all_0_134_134 = e23) % 21.18/5.49 | % 21.18/5.49 | Simplifying 5444 yields: % 21.18/5.49 | (40) ~ (all_0_134_134 = e23) % 21.18/5.49 | % 21.18/5.49 | Equations (582) can reduce 396 to: % 21.18/5.49 | (288) ~ (e23 = e21) % 21.18/5.49 | % 21.18/5.49 +-Applying beta-rule and splitting (371), into two cases. % 21.18/5.49 |-Branch one: % 21.18/5.49 | (426) all_0_126_126 = e20 % 21.18/5.49 | % 21.18/5.49 | Combining equations (422,426) yields a new equation: % 21.18/5.49 | (2781) e21 = e20 % 21.18/5.49 | % 21.18/5.49 | Simplifying 2781 yields: % 21.18/5.49 | (564) e21 = e20 % 21.18/5.49 | % 21.18/5.49 | Equations (564) can reduce 326 to: % 21.18/5.49 | (423) $false % 21.18/5.49 | % 21.18/5.49 |-The branch is then unsatisfiable % 21.18/5.49 |-Branch two: % 21.18/5.49 | (460) ~ (all_0_126_126 = e20) % 21.18/5.49 | (461) all_0_130_130 = e20 | all_0_134_134 = e20 % 21.18/5.49 | % 21.18/5.49 | Equations (422) can reduce 460 to: % 21.18/5.49 | (326) ~ (e21 = e20) % 21.18/5.49 | % 21.18/5.49 +-Applying beta-rule and splitting (188), into two cases. % 21.18/5.49 |-Branch one: % 21.18/5.49 | (528) all_0_131_131 = e20 % 21.18/5.49 | % 21.18/5.49 | Equations (528) can reduce 512 to: % 21.18/5.49 | (423) $false % 21.18/5.49 | % 21.18/5.49 |-The branch is then unsatisfiable % 21.18/5.49 |-Branch two: % 21.18/5.49 | (512) ~ (all_0_131_131 = e20) % 21.18/5.49 | (4763) all_0_131_131 = e23 | all_0_131_131 = e22 % 21.18/5.49 | % 21.18/5.49 +-Applying beta-rule and splitting (9), into two cases. % 21.18/5.49 |-Branch one: % 21.18/5.49 | (933) all_0_127_127 = e23 % 21.18/5.49 | % 21.18/5.49 | Equations (933) can reduce 246 to: % 21.18/5.49 | (4785) ~ (all_0_130_130 = e23) % 21.18/5.49 | % 21.18/5.49 | Simplifying 4785 yields: % 21.18/5.49 | (265) ~ (all_0_130_130 = e23) % 21.18/5.49 | % 21.18/5.49 | Equations (933) can reduce 131 to: % 21.18/5.49 | (5501) ~ (all_0_131_131 = e23) % 21.18/5.49 | % 21.18/5.49 | Simplifying 5501 yields: % 21.18/5.49 | (548) ~ (all_0_131_131 = e23) % 21.18/5.49 | % 21.18/5.49 +-Applying beta-rule and splitting (150), into two cases. % 21.18/5.49 |-Branch one: % 21.18/5.49 | (528) all_0_131_131 = e20 % 21.18/5.49 | % 21.18/5.49 | Equations (528) can reduce 512 to: % 21.18/5.49 | (423) $false % 21.18/5.49 | % 21.18/5.49 |-The branch is then unsatisfiable % 21.18/5.49 |-Branch two: % 21.18/5.49 | (512) ~ (all_0_131_131 = e20) % 21.18/5.49 | (5345) all_0_133_133 = e20 | all_0_134_134 = e20 % 21.18/5.49 | % 21.18/5.49 +-Applying beta-rule and splitting (325), into two cases. % 21.18/5.49 |-Branch one: % 21.18/5.49 | (528) all_0_131_131 = e20 % 21.18/5.49 | % 21.18/5.49 | Equations (528) can reduce 512 to: % 21.18/5.49 | (423) $false % 21.18/5.49 | % 21.18/5.49 |-The branch is then unsatisfiable % 21.18/5.49 |-Branch two: % 21.18/5.49 | (512) ~ (all_0_131_131 = e20) % 21.18/5.49 | (533) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) | (all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_133_133 = e20 & ~ (all_0_127_127 = e23) & ~ (all_0_128_128 = e22) & ~ (all_0_129_129 = e21) & ~ (all_0_130_130 = e20) & ~ (all_0_134_134 = e21)) | ( ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) % 21.18/5.50 | % 21.18/5.50 +-Applying beta-rule and splitting (533), into two cases. % 21.18/5.50 |-Branch one: % 21.18/5.50 | (534) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) | (all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_133_133 = e20 & ~ (all_0_127_127 = e23) & ~ (all_0_128_128 = e22) & ~ (all_0_129_129 = e21) & ~ (all_0_130_130 = e20) & ~ (all_0_134_134 = e21)) % 21.18/5.50 | % 21.18/5.50 +-Applying beta-rule and splitting (534), into two cases. % 21.18/5.50 |-Branch one: % 21.18/5.50 | (535) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) | (all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) % 21.18/5.50 | % 21.18/5.50 +-Applying beta-rule and splitting (535), into two cases. % 21.18/5.50 |-Branch one: % 21.18/5.50 | (536) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) % 21.18/5.50 | % 21.18/5.50 +-Applying beta-rule and splitting (536), into two cases. % 21.18/5.50 |-Branch one: % 21.18/5.50 | (537) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) % 21.18/5.50 | % 21.18/5.50 +-Applying beta-rule and splitting (537), into two cases. % 21.18/5.50 |-Branch one: % 21.18/5.50 | (538) all_0_123_123 = e22 & ~ (all_0_124_124 = e23) % 21.18/5.50 | % 21.18/5.50 | Applying alpha-rule on (538) yields: % 21.18/5.50 | (539) all_0_123_123 = e22 % 21.18/5.50 | (540) ~ (all_0_124_124 = e23) % 21.18/5.50 | % 21.18/5.50 | Combining equations (462,539) yields a new equation: % 21.18/5.50 | (429) e22 = e20 % 21.18/5.50 | % 21.18/5.50 | Equations (429) can reduce 121 to: % 21.18/5.50 | (423) $false % 21.18/5.50 | % 21.18/5.50 |-The branch is then unsatisfiable % 21.18/5.50 |-Branch two: % 21.18/5.50 | (543) all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20) % 21.18/5.50 | % 21.18/5.50 | Applying alpha-rule on (543) yields: % 21.18/5.50 | (428) all_0_126_126 = e22 % 21.18/5.50 | (545) ~ (all_0_132_132 = e22) % 21.18/5.50 | (418) ~ (all_0_133_133 = e21) % 21.18/5.50 | (547) ~ (all_0_134_134 = e20) % 21.18/5.50 | (548) ~ (all_0_131_131 = e23) % 21.18/5.50 | % 21.18/5.50 | Combining equations (422,428) yields a new equation: % 21.18/5.50 | (447) e22 = e21 % 21.18/5.50 | % 21.18/5.50 | Equations (447) can reduce 248 to: % 21.18/5.50 | (423) $false % 21.18/5.50 | % 21.18/5.50 |-The branch is then unsatisfiable % 21.18/5.50 |-Branch two: % 21.18/5.50 | (550) all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20) % 21.18/5.50 | % 21.18/5.50 | Applying alpha-rule on (550) yields: % 21.18/5.50 | (471) ~ (all_0_124_124 = e22) % 21.18/5.50 | (404) all_0_128_128 = e21 % 21.18/5.50 | (553) ~ (all_0_125_125 = e21) % 21.18/5.50 | (460) ~ (all_0_126_126 = e20) % 21.18/5.50 | (524) ~ (all_0_123_123 = e23) % 21.18/5.50 | % 21.18/5.50 +-Applying beta-rule and splitting (356), into two cases. % 21.18/5.50 |-Branch one: % 21.18/5.50 | (446) all_0_130_130 = e21 % 21.18/5.50 | % 21.18/5.50 | Equations (446) can reduce 395 to: % 21.18/5.50 | (423) $false % 21.18/5.50 | % 21.18/5.50 |-The branch is then unsatisfiable % 21.18/5.50 |-Branch two: % 21.18/5.50 | (395) ~ (all_0_130_130 = e21) % 21.18/5.50 | (4759) all_0_130_130 = e22 | all_0_130_130 = e20 % 21.18/5.50 | % 21.18/5.50 +-Applying beta-rule and splitting (4759), into two cases. % 21.18/5.50 |-Branch one: % 21.18/5.50 | (473) all_0_130_130 = e20 % 21.18/5.50 | % 21.18/5.50 | Equations (473) can reduce 572 to: % 21.18/5.50 | (423) $false % 21.18/5.50 | % 21.18/5.50 |-The branch is then unsatisfiable % 21.18/5.50 |-Branch two: % 21.18/5.50 | (572) ~ (all_0_130_130 = e20) % 21.18/5.50 | (433) all_0_130_130 = e22 % 21.18/5.50 | % 21.18/5.50 | Equations (433) can reduce 53 to: % 21.18/5.50 | (5760) ~ (all_0_134_134 = e22) % 21.18/5.50 | % 21.18/5.50 | Simplifying 5760 yields: % 21.18/5.50 | (5761) ~ (all_0_134_134 = e22) % 21.18/5.50 | % 21.18/5.50 | Equations (433) can reduce 265 to: % 21.18/5.50 | (492) ~ (e23 = e22) % 21.18/5.50 | % 21.18/5.50 | Simplifying 492 yields: % 21.18/5.50 | (28) ~ (e23 = e22) % 21.18/5.50 | % 21.18/5.50 +-Applying beta-rule and splitting (322), into two cases. % 21.18/5.50 |-Branch one: % 21.18/5.50 | (628) all_0_131_131 = e22 % 21.18/5.50 | % 21.18/5.50 | Equations (628) can reduce 548 to: % 21.18/5.50 | (492) ~ (e23 = e22) % 21.18/5.50 | % 21.18/5.50 | Simplifying 492 yields: % 21.18/5.50 | (28) ~ (e23 = e22) % 21.18/5.50 | % 21.18/5.50 | Equations (628) can reduce 20 to: % 21.18/5.50 | (248) ~ (e22 = e21) % 21.18/5.50 | % 21.18/5.50 +-Applying beta-rule and splitting (128), into two cases. % 21.18/5.50 |-Branch one: % 21.18/5.50 | (499) all_0_124_124 = e22 % 21.18/5.50 | % 21.18/5.50 | Equations (499) can reduce 471 to: % 21.18/5.50 | (423) $false % 21.18/5.50 | % 21.18/5.50 |-The branch is then unsatisfiable % 21.18/5.50 |-Branch two: % 21.18/5.50 | (471) ~ (all_0_124_124 = e22) % 21.18/5.50 | (502) all_0_128_128 = e22 | all_0_132_132 = e22 % 21.18/5.50 | % 21.18/5.50 +-Applying beta-rule and splitting (502), into two cases. % 21.18/5.50 |-Branch one: % 21.18/5.50 | (503) all_0_128_128 = e22 % 21.18/5.50 | % 21.18/5.50 | Combining equations (503,404) yields a new equation: % 21.18/5.50 | (457) e22 = e21 % 21.18/5.50 | % 21.18/5.50 | Simplifying 457 yields: % 21.18/5.50 | (447) e22 = e21 % 21.18/5.50 | % 21.18/5.50 | Equations (447) can reduce 248 to: % 21.18/5.50 | (423) $false % 21.18/5.50 | % 21.18/5.50 |-The branch is then unsatisfiable % 21.18/5.50 |-Branch two: % 21.18/5.50 | (507) ~ (all_0_128_128 = e22) % 21.18/5.50 | (508) all_0_132_132 = e22 % 21.18/5.50 | % 21.18/5.50 | Combining equations (508,582) yields a new equation: % 21.18/5.50 | (584) e23 = e22 % 21.18/5.50 | % 21.18/5.50 | Equations (584) can reduce 28 to: % 21.18/5.50 | (423) $false % 21.18/5.50 | % 21.18/5.50 |-The branch is then unsatisfiable % 21.18/5.50 |-Branch two: % 21.18/5.50 | (4868) ~ (all_0_131_131 = e22) % 21.18/5.50 | (5187) all_0_132_132 = e22 | all_0_134_134 = e22 % 21.18/5.50 | % 21.18/5.50 +-Applying beta-rule and splitting (5187), into two cases. % 21.18/5.50 |-Branch one: % 21.18/5.50 | (508) all_0_132_132 = e22 % 21.18/5.50 | % 21.18/5.50 | Combining equations (582,508) yields a new equation: % 21.18/5.50 | (583) e23 = e22 % 21.18/5.50 | % 21.18/5.50 | Simplifying 583 yields: % 21.18/5.50 | (584) e23 = e22 % 21.18/5.50 | % 21.18/5.50 | Equations (584) can reduce 28 to: % 21.18/5.50 | (423) $false % 21.18/5.50 | % 21.18/5.50 |-The branch is then unsatisfiable % 21.18/5.50 |-Branch two: % 21.18/5.50 | (545) ~ (all_0_132_132 = e22) % 21.18/5.50 | (452) all_0_134_134 = e22 % 21.18/5.50 | % 21.18/5.50 | Equations (452) can reduce 5761 to: % 21.18/5.50 | (423) $false % 21.18/5.50 | % 21.18/5.50 |-The branch is then unsatisfiable % 21.18/5.50 |-Branch two: % 21.18/5.50 | (557) all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20) % 21.18/5.50 | % 21.18/5.50 | Applying alpha-rule on (557) yields: % 21.18/5.50 | (545) ~ (all_0_132_132 = e22) % 21.18/5.50 | (418) ~ (all_0_133_133 = e21) % 21.18/5.50 | (547) ~ (all_0_134_134 = e20) % 21.18/5.50 | (474) ~ (all_0_129_129 = e20) % 21.18/5.50 | (446) all_0_130_130 = e21 % 21.18/5.50 | (548) ~ (all_0_131_131 = e23) % 21.18/5.50 | % 21.18/5.50 | Equations (495) can reduce 418 to: % 21.18/5.50 | (423) $false % 21.18/5.50 | % 21.18/5.50 |-The branch is then unsatisfiable % 21.18/5.50 |-Branch two: % 21.18/5.50 | (566) all_0_133_133 = e20 & ~ (all_0_127_127 = e23) & ~ (all_0_128_128 = e22) & ~ (all_0_129_129 = e21) & ~ (all_0_130_130 = e20) & ~ (all_0_134_134 = e21) % 21.18/5.50 | % 21.18/5.50 | Applying alpha-rule on (566) yields: % 21.18/5.50 | (567) ~ (all_0_134_134 = e21) % 21.18/5.50 | (511) all_0_133_133 = e20 % 21.18/5.50 | (416) ~ (all_0_129_129 = e21) % 21.18/5.50 | (483) ~ (all_0_127_127 = e23) % 21.18/5.50 | (507) ~ (all_0_128_128 = e22) % 21.18/5.50 | (572) ~ (all_0_130_130 = e20) % 21.18/5.50 | % 21.18/5.50 | Combining equations (511,495) yields a new equation: % 21.18/5.50 | (564) e21 = e20 % 21.18/5.50 | % 21.18/5.50 | Equations (564) can reduce 326 to: % 21.18/5.50 | (423) $false % 21.18/5.50 | % 21.18/5.50 |-The branch is then unsatisfiable % 21.18/5.50 |-Branch two: % 21.18/5.50 | (574) ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20) % 21.18/5.50 | % 21.18/5.50 | Applying alpha-rule on (574) yields: % 21.18/5.50 | (548) ~ (all_0_131_131 = e23) % 21.18/5.50 | (545) ~ (all_0_132_132 = e22) % 21.18/5.50 | (418) ~ (all_0_133_133 = e21) % 21.18/5.50 | (547) ~ (all_0_134_134 = e20) % 21.18/5.50 | % 21.18/5.50 | Equations (495) can reduce 418 to: % 21.18/5.50 | (423) $false % 21.18/5.50 | % 21.18/5.50 |-The branch is then unsatisfiable % 21.18/5.50 |-Branch two: % 21.18/5.50 | (483) ~ (all_0_127_127 = e23) % 21.18/5.50 | (5813) all_0_128_128 = e23 | all_0_129_129 = e23 % 21.18/5.50 | % 21.18/5.50 +-Applying beta-rule and splitting (461), into two cases. % 21.18/5.50 |-Branch one: % 21.18/5.50 | (473) all_0_130_130 = e20 % 21.18/5.50 | % 21.18/5.50 | Equations (473) can reduce 572 to: % 21.18/5.50 | (423) $false % 21.18/5.50 | % 21.18/5.50 |-The branch is then unsatisfiable % 21.18/5.50 |-Branch two: % 21.18/5.50 | (572) ~ (all_0_130_130 = e20) % 21.18/5.50 | (652) all_0_134_134 = e20 % 21.18/5.50 | % 21.18/5.50 | Equations (652) can reduce 40 to: % 21.18/5.50 | (513) ~ (e23 = e20) % 21.18/5.50 | % 21.18/5.50 | Simplifying 513 yields: % 21.18/5.50 | (276) ~ (e23 = e20) % 21.18/5.50 | % 21.18/5.50 +-Applying beta-rule and splitting (75), into two cases. % 21.18/5.50 |-Branch one: % 21.18/5.50 | (521) all_0_123_123 = e23 % 21.18/5.50 | % 21.18/5.50 | Combining equations (462,521) yields a new equation: % 21.18/5.50 | (522) e23 = e20 % 21.18/5.50 | % 21.18/5.50 | Equations (522) can reduce 276 to: % 21.18/5.50 | (423) $false % 21.18/5.50 | % 21.18/5.50 |-The branch is then unsatisfiable % 21.18/5.50 |-Branch two: % 21.18/5.50 | (524) ~ (all_0_123_123 = e23) % 21.18/5.50 | (932) all_0_127_127 = e23 | all_0_131_131 = e23 % 21.18/5.50 | % 21.18/5.50 | Equations (462) can reduce 524 to: % 21.18/5.50 | (513) ~ (e23 = e20) % 21.18/5.50 | % 21.18/5.50 | Simplifying 513 yields: % 21.18/5.50 | (276) ~ (e23 = e20) % 21.18/5.50 | % 21.18/5.50 +-Applying beta-rule and splitting (5813), into two cases. % 21.18/5.50 |-Branch one: % 21.18/5.50 | (820) all_0_128_128 = e23 % 21.18/5.50 | % 21.18/5.50 | Combining equations (404,820) yields a new equation: % 21.18/5.50 | (4651) e23 = e21 % 21.18/5.50 | % 21.18/5.50 | Equations (4651) can reduce 288 to: % 21.18/5.50 | (423) $false % 21.18/5.50 | % 21.18/5.50 |-The branch is then unsatisfiable % 21.18/5.50 |-Branch two: % 21.18/5.50 | (935) ~ (all_0_128_128 = e23) % 21.18/5.50 | (482) all_0_129_129 = e23 % 21.18/5.50 | % 21.18/5.50 | Combining equations (482,479) yields a new equation: % 21.18/5.50 | (529) e23 = e20 % 21.18/5.50 | % 21.18/5.50 | Simplifying 529 yields: % 21.18/5.50 | (522) e23 = e20 % 21.18/5.50 | % 21.18/5.50 | Equations (522) can reduce 276 to: % 21.18/5.50 | (423) $false % 21.18/5.50 | % 21.18/5.50 |-The branch is then unsatisfiable % 21.18/5.50 |-Branch two: % 21.18/5.50 | (655) ~ (all_0_123_123 = e20) % 21.18/5.50 | (656) all_0_125_125 = e20 | all_0_126_126 = e20 % 21.18/5.50 | % 21.18/5.50 +-Applying beta-rule and splitting (371), into two cases. % 21.18/5.50 |-Branch one: % 21.18/5.50 | (426) all_0_126_126 = e20 % 21.18/5.50 | % 21.18/5.50 | Combining equations (422,426) yields a new equation: % 21.18/5.50 | (2781) e21 = e20 % 21.18/5.50 | % 21.18/5.50 | Simplifying 2781 yields: % 21.18/5.50 | (564) e21 = e20 % 21.18/5.50 | % 21.18/5.50 | Equations (564) can reduce 326 to: % 21.18/5.50 | (423) $false % 21.18/5.50 | % 21.18/5.50 |-The branch is then unsatisfiable % 21.18/5.50 |-Branch two: % 21.18/5.50 | (460) ~ (all_0_126_126 = e20) % 21.18/5.50 | (461) all_0_130_130 = e20 | all_0_134_134 = e20 % 21.18/5.50 | % 21.18/5.50 +-Applying beta-rule and splitting (461), into two cases. % 21.18/5.50 |-Branch one: % 21.18/5.50 | (473) all_0_130_130 = e20 % 21.18/5.50 | % 21.18/5.50 | Equations (473) can reduce 572 to: % 21.18/5.50 | (423) $false % 21.18/5.50 | % 21.18/5.50 |-The branch is then unsatisfiable % 21.18/5.50 |-Branch two: % 21.18/5.50 | (572) ~ (all_0_130_130 = e20) % 21.18/5.50 | (652) all_0_134_134 = e20 % 21.18/5.50 | % 21.18/5.50 | Equations (652) can reduce 40 to: % 21.18/5.50 | (513) ~ (e23 = e20) % 21.18/5.50 | % 21.18/5.50 | Simplifying 513 yields: % 21.18/5.50 | (276) ~ (e23 = e20) % 21.18/5.50 | % 21.18/5.50 | Equations (652) can reduce 567 to: % 21.18/5.50 | (465) ~ (e21 = e20) % 21.18/5.50 | % 21.18/5.50 | Simplifying 465 yields: % 21.18/5.50 | (326) ~ (e21 = e20) % 21.18/5.50 | % 21.18/5.50 +-Applying beta-rule and splitting (656), into two cases. % 21.18/5.50 |-Branch one: % 21.18/5.50 | (772) all_0_125_125 = e20 % 21.18/5.50 | % 21.18/5.50 | Combining equations (775,772) yields a new equation: % 21.18/5.50 | (529) e23 = e20 % 21.18/5.50 | % 21.18/5.50 | Simplifying 529 yields: % 21.18/5.50 | (522) e23 = e20 % 21.18/5.50 | % 21.18/5.50 | Equations (522) can reduce 276 to: % 21.18/5.50 | (423) $false % 21.18/5.50 | % 21.18/5.50 |-The branch is then unsatisfiable % 21.18/5.50 |-Branch two: % 21.18/5.50 | (764) ~ (all_0_125_125 = e20) % 21.18/5.50 | (426) all_0_126_126 = e20 % 21.18/5.50 | % 21.18/5.50 | Combining equations (422,426) yields a new equation: % 21.18/5.50 | (2781) e21 = e20 % 21.18/5.50 | % 21.18/5.50 | Simplifying 2781 yields: % 21.18/5.51 | (564) e21 = e20 % 21.18/5.51 | % 21.18/5.51 | Equations (564) can reduce 326 to: % 21.18/5.51 | (423) $false % 21.18/5.51 | % 21.18/5.51 |-The branch is then unsatisfiable % 21.18/5.51 |-Branch two: % 21.18/5.51 | (4647) ~ (all_0_125_125 = e23) % 21.18/5.51 | (4648) all_0_129_129 = e23 | all_0_133_133 = e23 % 21.18/5.51 | % 21.27/5.51 +-Applying beta-rule and splitting (4648), into two cases. % 21.27/5.51 |-Branch one: % 21.27/5.51 | (482) all_0_129_129 = e23 % 21.27/5.51 | % 21.27/5.51 | Combining equations (479,482) yields a new equation: % 21.27/5.51 | (522) e23 = e20 % 21.27/5.51 | % 21.27/5.51 | Equations (522) can reduce 276 to: % 21.27/5.51 | (423) $false % 21.27/5.51 | % 21.27/5.51 |-The branch is then unsatisfiable % 21.27/5.51 |-Branch two: % 21.27/5.51 | (4653) ~ (all_0_129_129 = e23) % 21.27/5.51 | (587) all_0_133_133 = e23 % 21.27/5.51 | % 21.27/5.51 | Combining equations (587,495) yields a new equation: % 21.27/5.51 | (4650) e23 = e21 % 21.27/5.51 | % 21.27/5.51 | Simplifying 4650 yields: % 21.27/5.51 | (4651) e23 = e21 % 21.27/5.51 | % 21.27/5.51 | Equations (4651) can reduce 288 to: % 21.27/5.51 | (423) $false % 21.27/5.51 | % 21.27/5.51 |-The branch is then unsatisfiable % 21.27/5.51 |-Branch two: % 21.27/5.51 | (474) ~ (all_0_129_129 = e20) % 21.27/5.51 | (511) all_0_133_133 = e20 % 21.27/5.51 | % 21.27/5.51 | Combining equations (495,511) yields a new equation: % 21.27/5.51 | (2781) e21 = e20 % 21.27/5.51 | % 21.27/5.51 | Simplifying 2781 yields: % 21.27/5.51 | (564) e21 = e20 % 21.27/5.51 | % 21.27/5.51 | Equations (564) can reduce 326 to: % 21.27/5.51 | (423) $false % 21.27/5.51 | % 21.27/5.51 |-The branch is then unsatisfiable % 21.27/5.51 |-Branch two: % 21.27/5.51 | (394) ~ (all_0_126_126 = e21) % 21.27/5.51 | (5070) all_0_130_130 = e21 | all_0_134_134 = e21 % 21.27/5.51 | % 21.27/5.51 +-Applying beta-rule and splitting (5070), into two cases. % 21.27/5.51 |-Branch one: % 21.27/5.51 | (446) all_0_130_130 = e21 % 21.27/5.51 | % 21.27/5.51 | Equations (446) can reduce 395 to: % 21.27/5.51 | (423) $false % 21.27/5.51 | % 21.27/5.51 |-The branch is then unsatisfiable % 21.27/5.51 |-Branch two: % 21.27/5.51 | (395) ~ (all_0_130_130 = e21) % 21.27/5.51 | (393) all_0_134_134 = e21 % 21.27/5.51 | % 21.27/5.51 | Equations (393) can reduce 567 to: % 21.27/5.51 | (423) $false % 21.27/5.51 | % 21.27/5.51 |-The branch is then unsatisfiable % 21.27/5.51 |-Branch two: % 21.27/5.51 | (733) ~ (all_0_128_128 = e21) % 21.27/5.51 | (734) all_0_129_129 = e21 | all_0_130_130 = e21 % 21.27/5.51 | % 21.27/5.51 +-Applying beta-rule and splitting (734), into two cases. % 21.27/5.51 |-Branch one: % 21.27/5.51 | (475) all_0_129_129 = e21 % 21.27/5.51 | % 21.27/5.51 | Equations (475) can reduce 416 to: % 21.27/5.51 | (423) $false % 21.27/5.51 | % 21.27/5.51 |-The branch is then unsatisfiable % 21.27/5.51 |-Branch two: % 21.27/5.51 | (416) ~ (all_0_129_129 = e21) % 21.27/5.51 | (446) all_0_130_130 = e21 % 21.27/5.51 | % 21.27/5.51 | Equations (446) can reduce 226 to: % 21.27/5.51 | (394) ~ (all_0_126_126 = e21) % 21.27/5.51 | % 21.27/5.51 | Equations (446) can reduce 246 to: % 21.27/5.51 | (329) ~ (all_0_127_127 = e21) % 21.27/5.51 | % 21.27/5.51 | Equations (446) can reduce 234 to: % 21.27/5.51 | (416) ~ (all_0_129_129 = e21) % 21.27/5.51 | % 21.27/5.51 | Equations (446) can reduce 53 to: % 21.27/5.51 | (4695) ~ (all_0_134_134 = e21) % 21.27/5.51 | % 21.27/5.51 | Simplifying 4695 yields: % 21.27/5.51 | (567) ~ (all_0_134_134 = e21) % 21.27/5.51 | % 21.27/5.51 | Equations (446) can reduce 265 to: % 21.27/5.51 | (397) ~ (e23 = e21) % 21.27/5.51 | % 21.27/5.51 | Simplifying 397 yields: % 21.27/5.51 | (288) ~ (e23 = e21) % 21.27/5.51 | % 21.27/5.51 | From (446) and (57) follows: % 21.27/5.51 | (5076) op2(e21, e21) = all_0_109_109 % 21.27/5.51 | % 21.27/5.51 | From (446) and (293) follows: % 21.27/5.51 | (5896) op2(e21, e20) = e21 % 21.27/5.51 | % 21.27/5.51 +-Applying beta-rule and splitting (190), into two cases. % 21.27/5.51 |-Branch one: % 21.27/5.51 | (487) all_0_124_124 = e21 % 21.27/5.51 | % 21.27/5.51 | Equations (487) can reduce 62 to: % 21.27/5.51 | (353) ~ (all_0_123_123 = e21) % 21.27/5.51 | % 21.27/5.51 | Equations (487) can reduce 323 to: % 21.27/5.51 | (5899) ~ (all_0_125_125 = e21) % 21.27/5.51 | % 21.27/5.51 | Simplifying 5899 yields: % 21.27/5.51 | (553) ~ (all_0_125_125 = e21) % 21.27/5.51 | % 21.27/5.51 | Equations (487) can reduce 240 to: % 21.27/5.51 | (413) ~ (all_0_126_126 = e21) % 21.27/5.51 | % 21.27/5.51 | Simplifying 413 yields: % 21.27/5.51 | (394) ~ (all_0_126_126 = e21) % 21.27/5.51 | % 21.27/5.51 | Equations (487) can reduce 233 to: % 21.27/5.51 | (5903) ~ (all_0_128_128 = e21) % 21.27/5.51 | % 21.27/5.51 | Simplifying 5903 yields: % 21.27/5.51 | (733) ~ (all_0_128_128 = e21) % 21.27/5.51 | % 21.27/5.51 | Equations (487) can reduce 217 to: % 21.27/5.51 | (326) ~ (e21 = e20) % 21.27/5.51 | % 21.27/5.51 | From (487) and (92) follows: % 21.27/5.51 | (5906) op2(all_0_93_93, e21) = all_0_19_19 % 21.27/5.51 | % 21.27/5.51 | From (487)(487) and (272) follows: % 21.27/5.51 | (5907) op2(e21, e21) = all_0_27_27 % 21.27/5.51 | % 21.27/5.51 | From (487) and (343) follows: % 21.27/5.51 | (742) op2(e22, e21) = all_0_93_93 % 21.27/5.51 | % 21.27/5.51 | From (487) and (341) follows: % 21.27/5.51 | (743) op2(e22, e22) = e21 % 21.27/5.51 | % 21.27/5.51 | Instantiating formula (3) with e22, e21, all_0_93_93, all_0_125_125 and discharging atoms op2(e22, e21) = all_0_93_93, op2(e22, e21) = all_0_125_125, yields: % 21.27/5.51 | (753) all_0_93_93 = all_0_125_125 % 21.27/5.51 | % 21.27/5.51 | Instantiating formula (3) with e21, e21, all_0_27_27, all_0_129_129 and discharging atoms op2(e21, e21) = all_0_27_27, op2(e21, e21) = all_0_129_129, yields: % 21.27/5.51 | (5911) all_0_27_27 = all_0_129_129 % 21.27/5.51 | % 21.27/5.51 | Instantiating formula (3) with e21, e21, all_0_109_109, all_0_27_27 and discharging atoms op2(e21, e21) = all_0_27_27, op2(e21, e21) = all_0_109_109, yields: % 21.27/5.51 | (5912) all_0_27_27 = all_0_109_109 % 21.27/5.51 | % 21.27/5.51 | Combining equations (5912,5911) yields a new equation: % 21.27/5.51 | (5913) all_0_109_109 = all_0_129_129 % 21.27/5.51 | % 21.27/5.51 | Simplifying 5913 yields: % 21.27/5.51 | (5089) all_0_109_109 = all_0_129_129 % 21.27/5.51 | % 21.27/5.51 | From (753) and (5906) follows: % 21.27/5.51 | (5915) op2(all_0_125_125, e21) = all_0_19_19 % 21.27/5.51 | % 21.27/5.51 | From (753) and (95) follows: % 21.27/5.51 | (5916) op2(e22, all_0_125_125) = all_0_94_94 % 21.27/5.51 | % 21.27/5.51 | From (5089) and (5076) follows: % 21.27/5.51 | (338) op2(e21, e21) = all_0_129_129 % 21.27/5.51 | % 21.27/5.51 +-Applying beta-rule and splitting (252), into two cases. % 21.27/5.51 |-Branch one: % 21.27/5.51 | (772) all_0_125_125 = e20 % 21.27/5.51 | % 21.27/5.51 | Equations (772) can reduce 211 to: % 21.27/5.51 | (655) ~ (all_0_123_123 = e20) % 21.27/5.51 | % 21.27/5.51 | Equations (772) can reduce 327 to: % 21.27/5.51 | (463) ~ (all_0_126_126 = e20) % 21.27/5.51 | % 21.27/5.51 | Simplifying 463 yields: % 21.27/5.51 | (460) ~ (all_0_126_126 = e20) % 21.27/5.51 | % 21.27/5.51 | Equations (772) can reduce 553 to: % 21.27/5.51 | (465) ~ (e21 = e20) % 21.27/5.51 | % 21.27/5.51 | Simplifying 465 yields: % 21.27/5.51 | (326) ~ (e21 = e20) % 21.27/5.51 | % 21.27/5.51 +-Applying beta-rule and splitting (138), into two cases. % 21.27/5.51 |-Branch one: % 21.27/5.51 | (475) all_0_129_129 = e21 % 21.27/5.51 | % 21.27/5.51 | Equations (475) can reduce 416 to: % 21.27/5.51 | (423) $false % 21.27/5.51 | % 21.27/5.51 |-The branch is then unsatisfiable % 21.27/5.51 |-Branch two: % 21.27/5.51 | (416) ~ (all_0_129_129 = e21) % 21.27/5.51 | (478) all_0_129_129 = e23 | all_0_129_129 = e20 % 21.27/5.51 | % 21.27/5.51 +-Applying beta-rule and splitting (192), into two cases. % 21.27/5.51 |-Branch one: % 21.27/5.51 | (422) all_0_126_126 = e21 % 21.27/5.51 | % 21.27/5.51 | Equations (422) can reduce 394 to: % 21.27/5.51 | (423) $false % 21.27/5.51 | % 21.27/5.51 |-The branch is then unsatisfiable % 21.27/5.51 |-Branch two: % 21.27/5.51 | (394) ~ (all_0_126_126 = e21) % 21.27/5.51 | (425) all_0_126_126 = e22 | all_0_126_126 = e20 % 21.27/5.51 | % 21.27/5.51 +-Applying beta-rule and splitting (199), into two cases. % 21.27/5.51 |-Branch one: % 21.27/5.51 | (521) all_0_123_123 = e23 % 21.27/5.51 | % 21.27/5.51 | Equations (521) can reduce 208 to: % 21.27/5.51 | (5501) ~ (all_0_131_131 = e23) % 21.27/5.51 | % 21.27/5.51 | Simplifying 5501 yields: % 21.27/5.51 | (548) ~ (all_0_131_131 = e23) % 21.27/5.51 | % 21.27/5.51 | Equations (521) can reduce 353 to: % 21.27/5.51 | (288) ~ (e23 = e21) % 21.27/5.51 | % 21.27/5.51 | Equations (521) can reduce 655 to: % 21.27/5.51 | (276) ~ (e23 = e20) % 21.27/5.51 | % 21.27/5.51 +-Applying beta-rule and splitting (158), into two cases. % 21.27/5.51 |-Branch one: % 21.27/5.51 | (775) all_0_125_125 = e23 % 21.27/5.51 | % 21.27/5.51 | Combining equations (775,772) yields a new equation: % 21.27/5.51 | (529) e23 = e20 % 21.27/5.51 | % 21.27/5.51 | Simplifying 529 yields: % 21.27/5.52 | (522) e23 = e20 % 21.27/5.52 | % 21.27/5.52 | Equations (522) can reduce 276 to: % 21.27/5.52 | (423) $false % 21.27/5.52 | % 21.27/5.52 |-The branch is then unsatisfiable % 21.27/5.52 |-Branch two: % 21.27/5.52 | (4647) ~ (all_0_125_125 = e23) % 21.27/5.52 | (4648) all_0_129_129 = e23 | all_0_133_133 = e23 % 21.27/5.52 | % 21.27/5.52 +-Applying beta-rule and splitting (4648), into two cases. % 21.27/5.52 |-Branch one: % 21.27/5.52 | (482) all_0_129_129 = e23 % 21.27/5.52 | % 21.27/5.52 | Equations (482) can reduce 416 to: % 21.27/5.52 | (288) ~ (e23 = e21) % 21.27/5.52 | % 21.27/5.52 +-Applying beta-rule and splitting (42), into two cases. % 21.27/5.52 |-Branch one: % 21.27/5.52 | (519) all_0_131_131 = e23 % 21.27/5.52 | % 21.27/5.52 | Equations (519) can reduce 548 to: % 21.27/5.52 | (423) $false % 21.27/5.52 | % 21.27/5.52 |-The branch is then unsatisfiable % 21.27/5.52 |-Branch two: % 21.27/5.52 | (548) ~ (all_0_131_131 = e23) % 21.27/5.52 | (581) all_0_132_132 = e23 | all_0_133_133 = e23 % 21.27/5.52 | % 21.27/5.52 +-Applying beta-rule and splitting (581), into two cases. % 21.27/5.52 |-Branch one: % 21.27/5.52 | (582) all_0_132_132 = e23 % 21.27/5.52 | % 21.27/5.52 | Equations (582) can reduce 61 to: % 21.27/5.52 | (935) ~ (all_0_128_128 = e23) % 21.27/5.52 | % 21.27/5.52 | Equations (582) can reduce 242 to: % 21.27/5.52 | (5444) ~ (all_0_134_134 = e23) % 21.27/5.52 | % 21.27/5.52 | Simplifying 5444 yields: % 21.27/5.52 | (40) ~ (all_0_134_134 = e23) % 21.27/5.52 | % 21.27/5.52 +-Applying beta-rule and splitting (425), into two cases. % 21.27/5.52 |-Branch one: % 21.27/5.52 | (426) all_0_126_126 = e20 % 21.27/5.52 | % 21.27/5.52 | Equations (426) can reduce 460 to: % 21.27/5.52 | (423) $false % 21.27/5.52 | % 21.27/5.52 |-The branch is then unsatisfiable % 21.27/5.52 |-Branch two: % 21.27/5.52 | (460) ~ (all_0_126_126 = e20) % 21.27/5.52 | (428) all_0_126_126 = e22 % 21.27/5.52 | % 21.27/5.52 | Equations (428) can reduce 460 to: % 21.27/5.52 | (121) ~ (e22 = e20) % 21.27/5.52 | % 21.27/5.52 +-Applying beta-rule and splitting (130), into two cases. % 21.27/5.52 |-Branch one: % 21.27/5.52 | (804) all_0_127_127 = e20 % 21.27/5.52 | % 21.27/5.52 | Equations (804) can reduce 131 to: % 21.27/5.52 | (897) ~ (all_0_131_131 = e20) % 21.27/5.52 | % 21.27/5.52 | Simplifying 897 yields: % 21.27/5.52 | (512) ~ (all_0_131_131 = e20) % 21.27/5.52 | % 21.27/5.52 | Equations (804) can reduce 329 to: % 21.27/5.52 | (465) ~ (e21 = e20) % 21.27/5.52 | % 21.27/5.52 | Simplifying 465 yields: % 21.27/5.52 | (326) ~ (e21 = e20) % 21.27/5.52 | % 21.27/5.52 +-Applying beta-rule and splitting (150), into two cases. % 21.27/5.52 |-Branch one: % 21.27/5.52 | (528) all_0_131_131 = e20 % 21.27/5.52 | % 21.27/5.52 | Equations (528) can reduce 512 to: % 21.27/5.52 | (423) $false % 21.27/5.52 | % 21.27/5.52 |-The branch is then unsatisfiable % 21.27/5.52 |-Branch two: % 21.27/5.52 | (512) ~ (all_0_131_131 = e20) % 21.27/5.52 | (5345) all_0_133_133 = e20 | all_0_134_134 = e20 % 21.27/5.52 | % 21.27/5.52 +-Applying beta-rule and splitting (164), into two cases. % 21.27/5.52 |-Branch one: % 21.27/5.52 | (404) all_0_128_128 = e21 % 21.27/5.52 | % 21.27/5.52 | Equations (404) can reduce 733 to: % 21.27/5.52 | (423) $false % 21.27/5.52 | % 21.27/5.52 |-The branch is then unsatisfiable % 21.27/5.52 |-Branch two: % 21.27/5.52 | (733) ~ (all_0_128_128 = e21) % 21.27/5.52 | (798) all_0_128_128 = e23 | all_0_128_128 = e22 % 21.27/5.52 | % 21.27/5.52 +-Applying beta-rule and splitting (798), into two cases. % 21.27/5.52 |-Branch one: % 21.27/5.52 | (503) all_0_128_128 = e22 % 21.27/5.52 | % 21.27/5.52 | Equations (503) can reduce 935 to: % 21.27/5.52 | (492) ~ (e23 = e22) % 21.27/5.52 | % 21.27/5.52 | Simplifying 492 yields: % 21.27/5.52 | (28) ~ (e23 = e22) % 21.27/5.52 | % 21.27/5.52 | Equations (503) can reduce 733 to: % 21.27/5.52 | (248) ~ (e22 = e21) % 21.27/5.52 | % 21.27/5.52 +-Applying beta-rule and splitting (325), into two cases. % 21.27/5.52 |-Branch one: % 21.27/5.52 | (528) all_0_131_131 = e20 % 21.27/5.52 | % 21.27/5.52 | Equations (528) can reduce 512 to: % 21.27/5.52 | (423) $false % 21.27/5.52 | % 21.27/5.52 |-The branch is then unsatisfiable % 21.27/5.52 |-Branch two: % 21.27/5.52 | (512) ~ (all_0_131_131 = e20) % 21.27/5.52 | (533) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) | (all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_133_133 = e20 & ~ (all_0_127_127 = e23) & ~ (all_0_128_128 = e22) & ~ (all_0_129_129 = e21) & ~ (all_0_130_130 = e20) & ~ (all_0_134_134 = e21)) | ( ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) % 21.27/5.52 | % 21.27/5.52 +-Applying beta-rule and splitting (533), into two cases. % 21.27/5.52 |-Branch one: % 21.27/5.52 | (534) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) | (all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_133_133 = e20 & ~ (all_0_127_127 = e23) & ~ (all_0_128_128 = e22) & ~ (all_0_129_129 = e21) & ~ (all_0_130_130 = e20) & ~ (all_0_134_134 = e21)) % 21.27/5.52 | % 21.27/5.52 +-Applying beta-rule and splitting (534), into two cases. % 21.27/5.52 |-Branch one: % 21.27/5.52 | (535) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) | (all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) % 21.27/5.52 | % 21.27/5.52 +-Applying beta-rule and splitting (535), into two cases. % 21.27/5.52 |-Branch one: % 21.27/5.52 | (536) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) % 21.27/5.52 | % 21.27/5.52 +-Applying beta-rule and splitting (536), into two cases. % 21.27/5.52 |-Branch one: % 21.27/5.52 | (537) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) % 21.27/5.52 | % 21.27/5.52 +-Applying beta-rule and splitting (537), into two cases. % 21.27/5.52 |-Branch one: % 21.27/5.52 | (538) all_0_123_123 = e22 & ~ (all_0_124_124 = e23) % 21.27/5.52 | % 21.27/5.52 | Applying alpha-rule on (538) yields: % 21.27/5.52 | (539) all_0_123_123 = e22 % 21.27/5.52 | (540) ~ (all_0_124_124 = e23) % 21.27/5.52 | % 21.27/5.52 | Combining equations (521,539) yields a new equation: % 21.27/5.52 | (583) e23 = e22 % 21.27/5.52 | % 21.27/5.52 | Simplifying 583 yields: % 21.27/5.52 | (584) e23 = e22 % 21.27/5.52 | % 21.27/5.52 | Equations (584) can reduce 28 to: % 21.27/5.52 | (423) $false % 21.27/5.52 | % 21.27/5.52 |-The branch is then unsatisfiable % 21.27/5.52 |-Branch two: % 21.27/5.52 | (543) all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20) % 21.27/5.52 | % 21.27/5.52 | Applying alpha-rule on (543) yields: % 21.27/5.52 | (428) all_0_126_126 = e22 % 21.27/5.52 | (545) ~ (all_0_132_132 = e22) % 21.27/5.52 | (418) ~ (all_0_133_133 = e21) % 21.27/5.52 | (547) ~ (all_0_134_134 = e20) % 21.27/5.52 | (548) ~ (all_0_131_131 = e23) % 21.27/5.52 | % 21.27/5.52 | Equations (495) can reduce 418 to: % 21.27/5.52 | (423) $false % 21.27/5.52 | % 21.27/5.52 |-The branch is then unsatisfiable % 21.27/5.52 |-Branch two: % 21.27/5.52 | (550) all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20) % 21.27/5.52 | % 21.27/5.52 | Applying alpha-rule on (550) yields: % 21.27/5.52 | (471) ~ (all_0_124_124 = e22) % 21.27/5.52 | (404) all_0_128_128 = e21 % 21.27/5.52 | (553) ~ (all_0_125_125 = e21) % 21.27/5.52 | (460) ~ (all_0_126_126 = e20) % 21.27/5.52 | (524) ~ (all_0_123_123 = e23) % 21.27/5.52 | % 21.27/5.52 | Combining equations (503,404) yields a new equation: % 21.27/5.52 | (457) e22 = e21 % 21.27/5.52 | % 21.27/5.52 | Simplifying 457 yields: % 21.27/5.52 | (447) e22 = e21 % 21.27/5.52 | % 21.27/5.52 | Equations (447) can reduce 248 to: % 21.27/5.52 | (423) $false % 21.27/5.52 | % 21.27/5.52 |-The branch is then unsatisfiable % 21.27/5.52 |-Branch two: % 21.27/5.52 | (557) all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20) % 21.27/5.52 | % 21.27/5.52 | Applying alpha-rule on (557) yields: % 21.27/5.52 | (545) ~ (all_0_132_132 = e22) % 21.27/5.52 | (418) ~ (all_0_133_133 = e21) % 21.27/5.52 | (547) ~ (all_0_134_134 = e20) % 21.27/5.52 | (474) ~ (all_0_129_129 = e20) % 21.27/5.52 | (446) all_0_130_130 = e21 % 21.27/5.52 | (548) ~ (all_0_131_131 = e23) % 21.27/5.52 | % 21.27/5.52 | Equations (495) can reduce 418 to: % 21.27/5.52 | (423) $false % 21.27/5.52 | % 21.27/5.52 |-The branch is then unsatisfiable % 21.27/5.52 |-Branch two: % 21.27/5.52 | (566) all_0_133_133 = e20 & ~ (all_0_127_127 = e23) & ~ (all_0_128_128 = e22) & ~ (all_0_129_129 = e21) & ~ (all_0_130_130 = e20) & ~ (all_0_134_134 = e21) % 21.27/5.52 | % 21.27/5.52 | Applying alpha-rule on (566) yields: % 21.27/5.52 | (567) ~ (all_0_134_134 = e21) % 21.27/5.52 | (511) all_0_133_133 = e20 % 21.27/5.52 | (416) ~ (all_0_129_129 = e21) % 21.27/5.52 | (483) ~ (all_0_127_127 = e23) % 21.27/5.52 | (507) ~ (all_0_128_128 = e22) % 21.27/5.52 | (572) ~ (all_0_130_130 = e20) % 21.27/5.52 | % 21.27/5.52 | Combining equations (495,511) yields a new equation: % 21.27/5.52 | (2781) e21 = e20 % 21.27/5.52 | % 21.27/5.52 | Simplifying 2781 yields: % 21.27/5.52 | (564) e21 = e20 % 21.27/5.52 | % 21.27/5.52 | Equations (564) can reduce 326 to: % 21.27/5.52 | (423) $false % 21.27/5.52 | % 21.27/5.52 |-The branch is then unsatisfiable % 21.27/5.52 |-Branch two: % 21.27/5.52 | (574) ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20) % 21.27/5.52 | % 21.27/5.52 | Applying alpha-rule on (574) yields: % 21.27/5.52 | (548) ~ (all_0_131_131 = e23) % 21.27/5.52 | (545) ~ (all_0_132_132 = e22) % 21.27/5.52 | (418) ~ (all_0_133_133 = e21) % 21.27/5.52 | (547) ~ (all_0_134_134 = e20) % 21.27/5.52 | % 21.27/5.52 | Equations (495) can reduce 418 to: % 21.27/5.52 | (423) $false % 21.27/5.52 | % 21.27/5.52 |-The branch is then unsatisfiable % 21.27/5.52 |-Branch two: % 21.27/5.52 | (507) ~ (all_0_128_128 = e22) % 21.27/5.52 | (820) all_0_128_128 = e23 % 21.27/5.52 | % 21.27/5.52 | Equations (820) can reduce 935 to: % 21.27/5.52 | (423) $false % 21.27/5.52 | % 21.27/5.52 |-The branch is then unsatisfiable % 21.27/5.52 |-Branch two: % 21.27/5.52 | (849) ~ (all_0_127_127 = e20) % 21.27/5.52 | (850) all_0_129_129 = e20 | all_0_130_130 = e20 % 21.27/5.52 | % 21.27/5.52 +-Applying beta-rule and splitting (371), into two cases. % 21.27/5.52 |-Branch one: % 21.27/5.52 | (426) all_0_126_126 = e20 % 21.27/5.52 | % 21.27/5.52 | Combining equations (426,428) yields a new equation: % 21.27/5.52 | (429) e22 = e20 % 21.27/5.52 | % 21.27/5.52 | Equations (429) can reduce 121 to: % 21.27/5.52 | (423) $false % 21.27/5.52 | % 21.27/5.52 |-The branch is then unsatisfiable % 21.27/5.52 |-Branch two: % 21.27/5.52 | (460) ~ (all_0_126_126 = e20) % 21.27/5.52 | (461) all_0_130_130 = e20 | all_0_134_134 = e20 % 21.27/5.52 | % 21.27/5.52 +-Applying beta-rule and splitting (461), into two cases. % 21.27/5.52 |-Branch one: % 21.27/5.52 | (473) all_0_130_130 = e20 % 21.27/5.52 | % 21.27/5.52 | Combining equations (473,446) yields a new equation: % 21.27/5.52 | (564) e21 = e20 % 21.27/5.52 | % 21.27/5.52 | Equations (564) can reduce 326 to: % 21.27/5.52 | (423) $false % 21.27/5.52 | % 21.27/5.52 |-The branch is then unsatisfiable % 21.27/5.52 |-Branch two: % 21.27/5.52 | (572) ~ (all_0_130_130 = e20) % 21.27/5.52 | (652) all_0_134_134 = e20 % 21.27/5.52 | % 21.27/5.52 | Equations (652) can reduce 40 to: % 21.27/5.52 | (513) ~ (e23 = e20) % 21.27/5.52 | % 21.27/5.52 | Simplifying 513 yields: % 21.27/5.52 | (276) ~ (e23 = e20) % 21.27/5.52 | % 21.27/5.52 | Equations (652) can reduce 567 to: % 21.27/5.52 | (465) ~ (e21 = e20) % 21.27/5.52 | % 21.27/5.52 | Simplifying 465 yields: % 21.27/5.52 | (326) ~ (e21 = e20) % 21.27/5.52 | % 21.27/5.52 +-Applying beta-rule and splitting (850), into two cases. % 21.27/5.52 |-Branch one: % 21.27/5.52 | (479) all_0_129_129 = e20 % 21.27/5.52 | % 21.27/5.52 | Combining equations (482,479) yields a new equation: % 21.27/5.52 | (529) e23 = e20 % 21.27/5.52 | % 21.27/5.52 | Simplifying 529 yields: % 21.27/5.52 | (522) e23 = e20 % 21.27/5.52 | % 21.27/5.52 | Equations (522) can reduce 276 to: % 21.27/5.52 | (423) $false % 21.27/5.52 | % 21.27/5.52 |-The branch is then unsatisfiable % 21.27/5.52 |-Branch two: % 21.27/5.52 | (474) ~ (all_0_129_129 = e20) % 21.27/5.52 | (473) all_0_130_130 = e20 % 21.27/5.52 | % 21.27/5.52 | Combining equations (446,473) yields a new equation: % 21.27/5.52 | (2781) e21 = e20 % 21.27/5.52 | % 21.27/5.52 | Simplifying 2781 yields: % 21.27/5.52 | (564) e21 = e20 % 21.27/5.52 | % 21.27/5.52 | Equations (564) can reduce 326 to: % 21.27/5.52 | (423) $false % 21.27/5.52 | % 21.27/5.52 |-The branch is then unsatisfiable % 21.27/5.52 |-Branch two: % 21.27/5.52 | (586) ~ (all_0_132_132 = e23) % 21.27/5.52 | (587) all_0_133_133 = e23 % 21.27/5.52 | % 21.27/5.52 | Combining equations (495,587) yields a new equation: % 21.27/5.52 | (4651) e23 = e21 % 21.27/5.52 | % 21.27/5.52 | Equations (4651) can reduce 288 to: % 21.27/5.52 | (423) $false % 21.27/5.52 | % 21.27/5.52 |-The branch is then unsatisfiable % 21.27/5.52 |-Branch two: % 21.27/5.52 | (4653) ~ (all_0_129_129 = e23) % 21.27/5.52 | (587) all_0_133_133 = e23 % 21.27/5.52 | % 21.27/5.52 | Combining equations (587,495) yields a new equation: % 21.27/5.52 | (4650) e23 = e21 % 21.27/5.52 | % 21.27/5.52 | Simplifying 4650 yields: % 21.27/5.52 | (4651) e23 = e21 % 21.27/5.52 | % 21.27/5.52 | Equations (4651) can reduce 288 to: % 21.27/5.52 | (423) $false % 21.27/5.52 | % 21.27/5.52 |-The branch is then unsatisfiable % 21.27/5.52 |-Branch two: % 21.27/5.52 | (524) ~ (all_0_123_123 = e23) % 21.27/5.52 | (525) all_0_124_124 = e23 | all_0_125_125 = e23 % 21.27/5.52 | % 21.27/5.52 +-Applying beta-rule and splitting (525), into two cases. % 21.27/5.52 |-Branch one: % 21.27/5.52 | (618) all_0_124_124 = e23 % 21.27/5.52 | % 21.27/5.52 | Combining equations (618,487) yields a new equation: % 21.27/5.52 | (4650) e23 = e21 % 21.27/5.52 | % 21.27/5.52 | Simplifying 4650 yields: % 21.27/5.52 | (4651) e23 = e21 % 21.27/5.52 | % 21.27/5.52 | Equations (4651) can reduce 288 to: % 21.27/5.52 | (423) $false % 21.27/5.52 | % 21.27/5.52 |-The branch is then unsatisfiable % 21.27/5.52 |-Branch two: % 21.27/5.52 | (540) ~ (all_0_124_124 = e23) % 21.27/5.53 | (775) all_0_125_125 = e23 % 21.27/5.53 | % 21.27/5.53 | Combining equations (772,775) yields a new equation: % 21.27/5.53 | (522) e23 = e20 % 21.27/5.53 | % 21.27/5.53 | Equations (522) can reduce 276 to: % 21.27/5.53 | (423) $false % 21.27/5.53 | % 21.27/5.53 |-The branch is then unsatisfiable % 21.27/5.53 |-Branch two: % 21.27/5.53 | (764) ~ (all_0_125_125 = e20) % 21.27/5.53 | (4872) all_0_129_129 = e20 | all_0_133_133 = e20 % 21.27/5.53 | % 21.27/5.53 +-Applying beta-rule and splitting (4872), into two cases. % 21.27/5.53 |-Branch one: % 21.27/5.53 | (479) all_0_129_129 = e20 % 21.27/5.53 | % 21.27/5.53 | Equations (479) can reduce 374 to: % 21.27/5.53 | (764) ~ (all_0_125_125 = e20) % 21.27/5.53 | % 21.27/5.53 | Equations (479) can reduce 368 to: % 21.27/5.53 | (231) ~ (all_0_128_128 = e20) % 21.27/5.53 | % 21.27/5.53 | Equations (479) can reduce 281 to: % 21.27/5.53 | (515) ~ (e22 = e20) % 21.27/5.53 | % 21.27/5.53 | Simplifying 515 yields: % 21.27/5.53 | (121) ~ (e22 = e20) % 21.27/5.53 | % 21.27/5.53 | From (479) and (101) follows: % 21.27/5.53 | (6083) op2(all_0_96_96, e20) = all_0_62_62 % 21.27/5.53 | % 21.27/5.53 | From (479) and (314) follows: % 21.27/5.53 | (6084) op2(e20, all_0_96_96) = all_0_56_56 % 21.27/5.53 | % 21.27/5.53 | From (479)(479) and (97) follows: % 21.27/5.53 | (6085) op2(e20, e20) = all_0_54_54 % 21.27/5.53 | % 21.27/5.53 | From (479) and (140) follows: % 21.27/5.53 | (6086) op2(e21, e20) = all_0_95_95 % 21.27/5.53 | % 21.27/5.53 | From (479) and (338) follows: % 21.27/5.53 | (6087) op2(e21, e21) = e20 % 21.27/5.53 | % 21.27/5.53 +-Applying beta-rule and splitting (158), into two cases. % 21.27/5.53 |-Branch one: % 21.27/5.53 | (775) all_0_125_125 = e23 % 21.27/5.53 | % 21.27/5.53 | Equations (775) can reduce 211 to: % 21.27/5.53 | (524) ~ (all_0_123_123 = e23) % 21.27/5.53 | % 21.27/5.53 | Equations (775) can reduce 327 to: % 21.27/5.53 | (6090) ~ (all_0_126_126 = e23) % 21.27/5.53 | % 21.27/5.53 | Simplifying 6090 yields: % 21.27/5.53 | (125) ~ (all_0_126_126 = e23) % 21.27/5.53 | % 21.27/5.53 | Equations (775) can reduce 764 to: % 21.27/5.53 | (276) ~ (e23 = e20) % 21.27/5.53 | % 21.27/5.53 | From (775) and (5915) follows: % 21.27/5.53 | (6093) op2(e23, e21) = all_0_19_19 % 21.27/5.53 | % 21.27/5.53 | From (775) and (5916) follows: % 21.27/5.53 | (6094) op2(e22, e23) = all_0_94_94 % 21.27/5.53 | % 21.27/5.53 | Instantiating formula (3) with e23, e21, all_0_19_19, e22 and discharging atoms op2(e23, e21) = all_0_19_19, op2(e23, e21) = e22, yields: % 21.27/5.53 | (6095) all_0_19_19 = e22 % 21.27/5.53 | % 21.27/5.53 | Instantiating formula (3) with e22, e23, all_0_94_94, all_0_123_123 and discharging atoms op2(e22, e23) = all_0_94_94, op2(e22, e23) = all_0_123_123, yields: % 21.27/5.53 | (6096) all_0_94_94 = all_0_123_123 % 21.27/5.53 | % 21.27/5.53 | Instantiating formula (3) with e21, e20, all_0_95_95, e21 and discharging atoms op2(e21, e20) = all_0_95_95, op2(e21, e20) = e21, yields: % 21.27/5.53 | (6097) all_0_95_95 = e21 % 21.27/5.53 | % 21.27/5.53 | Instantiating formula (3) with e20, e20, all_0_54_54, all_0_134_134 and discharging atoms op2(e20, e20) = all_0_54_54, op2(e20, e20) = all_0_134_134, yields: % 21.27/5.53 | (6098) all_0_54_54 = all_0_134_134 % 21.27/5.53 | % 21.27/5.53 | From (6096)(6096) and (142) follows: % 21.27/5.53 | (6099) op2(all_0_123_123, all_0_123_123) = all_0_37_37 % 21.27/5.53 | % 21.27/5.53 | From (6096) and (145) follows: % 21.27/5.53 | (6100) op2(all_0_123_123, e22) = all_0_31_31 % 21.27/5.53 | % 21.27/5.53 | From (6097)(6097) and (287) follows: % 21.27/5.53 | (6101) op2(e21, e21) = all_0_44_44 % 21.27/5.53 | % 21.27/5.53 | From (6097) and (295) follows: % 21.27/5.53 | (6102) op2(e21, e21) = all_0_42_42 % 21.27/5.53 | % 21.27/5.53 | From (6095) and (6093) follows: % 21.27/5.53 | (236) op2(e23, e21) = e22 % 21.27/5.53 | % 21.27/5.53 | From (6096) and (89) follows: % 21.27/5.53 | (6104) op2(e22, all_0_123_123) = all_0_14_14 % 21.27/5.53 | % 21.27/5.53 | From (6097) and (31) follows: % 21.27/5.53 | (6105) op2(e21, e21) = all_0_96_96 % 21.27/5.53 | % 21.27/5.53 | From (6098) and (6085) follows: % 21.27/5.53 | (206) op2(e20, e20) = all_0_134_134 % 21.27/5.53 | % 21.27/5.53 | Instantiating formula (3) with all_0_123_123, e22, all_0_31_31, all_0_99_99 and discharging atoms op2(all_0_123_123, e22) = all_0_31_31, op2(all_0_123_123, e22) = all_0_99_99, yields: % 21.27/5.53 | (6107) all_0_31_31 = all_0_99_99 % 21.27/5.53 | % 21.27/5.53 | Instantiating formula (3) with e21, e21, all_0_42_42, e20 and discharging atoms op2(e21, e21) = all_0_42_42, op2(e21, e21) = e20, yields: % 21.27/5.53 | (6108) all_0_42_42 = e20 % 21.27/5.53 | % 21.27/5.53 | Instantiating formula (3) with e21, e21, all_0_44_44, all_0_42_42 and discharging atoms op2(e21, e21) = all_0_42_42, op2(e21, e21) = all_0_44_44, yields: % 21.27/5.53 | (6109) all_0_42_42 = all_0_44_44 % 21.27/5.53 | % 21.27/5.53 | Instantiating formula (3) with e21, e21, all_0_96_96, all_0_42_42 and discharging atoms op2(e21, e21) = all_0_42_42, op2(e21, e21) = all_0_96_96, yields: % 21.27/5.53 | (6110) all_0_42_42 = all_0_96_96 % 21.27/5.53 | % 21.27/5.53 | Combining equations (6108,6109) yields a new equation: % 21.27/5.53 | (6111) all_0_44_44 = e20 % 21.27/5.53 | % 21.27/5.53 | Combining equations (6110,6109) yields a new equation: % 21.27/5.53 | (6112) all_0_44_44 = all_0_96_96 % 21.27/5.53 | % 21.27/5.54 | Combining equations (6112,6111) yields a new equation: % 21.27/5.54 | (6113) all_0_96_96 = e20 % 21.27/5.54 | % 21.27/5.54 | Simplifying 6113 yields: % 21.27/5.54 | (6114) all_0_96_96 = e20 % 21.27/5.54 | % 21.27/5.54 | From (6114)(6114) and (270) follows: % 21.38/5.54 | (6115) op2(e20, e20) = all_0_64_64 % 21.38/5.54 | % 21.38/5.54 | From (6114) and (6083) follows: % 21.38/5.54 | (6116) op2(e20, e20) = all_0_62_62 % 21.38/5.54 | % 21.38/5.54 | From (6107) and (6100) follows: % 21.38/5.54 | (321) op2(all_0_123_123, e22) = all_0_99_99 % 21.38/5.54 | % 21.38/5.54 | From (6114) and (6084) follows: % 21.38/5.54 | (6118) op2(e20, e20) = all_0_56_56 % 21.38/5.54 | % 21.38/5.54 | Instantiating formula (3) with e20, e20, all_0_56_56, all_0_134_134 and discharging atoms op2(e20, e20) = all_0_56_56, op2(e20, e20) = all_0_134_134, yields: % 21.38/5.54 | (6119) all_0_56_56 = all_0_134_134 % 21.38/5.54 | % 21.38/5.54 | Instantiating formula (3) with e20, e20, all_0_62_62, all_0_56_56 and discharging atoms op2(e20, e20) = all_0_56_56, op2(e20, e20) = all_0_62_62, yields: % 21.38/5.54 | (6120) all_0_56_56 = all_0_62_62 % 21.38/5.54 | % 21.38/5.54 | Instantiating formula (3) with e20, e20, all_0_64_64, all_0_56_56 and discharging atoms op2(e20, e20) = all_0_56_56, op2(e20, e20) = all_0_64_64, yields: % 21.38/5.54 | (6121) all_0_56_56 = all_0_64_64 % 21.38/5.54 | % 21.38/5.54 | Combining equations (6119,6120) yields a new equation: % 21.38/5.54 | (6122) all_0_62_62 = all_0_134_134 % 21.38/5.54 | % 21.38/5.54 | Combining equations (6121,6120) yields a new equation: % 21.38/5.54 | (6123) all_0_62_62 = all_0_64_64 % 21.38/5.54 | % 21.38/5.54 | Combining equations (6122,6123) yields a new equation: % 21.38/5.54 | (6124) all_0_64_64 = all_0_134_134 % 21.38/5.54 | % 21.38/5.54 | From (6124) and (6115) follows: % 21.38/5.54 | (206) op2(e20, e20) = all_0_134_134 % 21.38/5.54 | % 21.38/5.54 +-Applying beta-rule and splitting (362), into two cases. % 21.38/5.54 |-Branch one: % 21.38/5.54 | (462) all_0_123_123 = e20 % 21.38/5.54 | % 21.38/5.54 +-Applying beta-rule and splitting (259), into two cases. % 21.38/5.54 |-Branch one: % 21.38/5.54 | (539) all_0_123_123 = e22 % 21.38/5.54 | % 21.38/5.54 | Combining equations (539,462) yields a new equation: % 21.38/5.54 | (780) e22 = e20 % 21.38/5.54 | % 21.38/5.54 | Simplifying 780 yields: % 21.38/5.54 | (429) e22 = e20 % 21.38/5.54 | % 21.38/5.54 | Equations (429) can reduce 121 to: % 21.38/5.54 | (423) $false % 21.38/5.54 | % 21.38/5.54 |-The branch is then unsatisfiable % 21.38/5.54 |-Branch two: % 21.38/5.54 | (623) ~ (all_0_123_123 = e22) % 21.38/5.54 | (840) all_0_124_124 = e22 | all_0_126_126 = e22 % 21.38/5.54 | % 21.38/5.54 +-Applying beta-rule and splitting (840), into two cases. % 21.38/5.54 |-Branch one: % 21.38/5.54 | (499) all_0_124_124 = e22 % 21.38/5.54 | % 21.38/5.54 | Combining equations (499,487) yields a new equation: % 21.38/5.54 | (457) e22 = e21 % 21.38/5.54 | % 21.38/5.54 | Simplifying 457 yields: % 21.38/5.54 | (447) e22 = e21 % 21.38/5.54 | % 21.38/5.54 | Equations (447) can reduce 248 to: % 21.38/5.54 | (423) $false % 21.38/5.54 | % 21.38/5.54 |-The branch is then unsatisfiable % 21.38/5.54 |-Branch two: % 21.38/5.54 | (471) ~ (all_0_124_124 = e22) % 21.38/5.54 | (428) all_0_126_126 = e22 % 21.38/5.54 | % 21.38/5.54 | Equations (428) can reduce 238 to: % 21.38/5.54 | (5760) ~ (all_0_134_134 = e22) % 21.38/5.54 | % 21.38/5.54 | Simplifying 5760 yields: % 21.38/5.54 | (5761) ~ (all_0_134_134 = e22) % 21.38/5.54 | % 21.38/5.54 +-Applying beta-rule and splitting (4691), into two cases. % 21.38/5.54 |-Branch one: % 21.38/5.54 | (652) all_0_134_134 = e20 % 21.38/5.54 | % 21.38/5.54 | Equations (652) can reduce 26 to: % 21.38/5.54 | (512) ~ (all_0_131_131 = e20) % 21.38/5.54 | % 21.38/5.54 | Equations (652) can reduce 5761 to: % 21.38/5.54 | (515) ~ (e22 = e20) % 21.38/5.54 | % 21.38/5.54 | Simplifying 515 yields: % 21.38/5.54 | (121) ~ (e22 = e20) % 21.38/5.54 | % 21.38/5.54 | Equations (652) can reduce 567 to: % 21.38/5.54 | (465) ~ (e21 = e20) % 21.38/5.54 | % 21.38/5.54 | Simplifying 465 yields: % 21.38/5.54 | (326) ~ (e21 = e20) % 21.38/5.54 | % 21.38/5.54 +-Applying beta-rule and splitting (325), into two cases. % 21.38/5.54 |-Branch one: % 21.38/5.54 | (528) all_0_131_131 = e20 % 21.38/5.54 | % 21.38/5.54 | Equations (528) can reduce 512 to: % 21.38/5.54 | (423) $false % 21.38/5.54 | % 21.38/5.54 |-The branch is then unsatisfiable % 21.38/5.54 |-Branch two: % 21.38/5.54 | (512) ~ (all_0_131_131 = e20) % 21.38/5.54 | (533) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) | (all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_133_133 = e20 & ~ (all_0_127_127 = e23) & ~ (all_0_128_128 = e22) & ~ (all_0_129_129 = e21) & ~ (all_0_130_130 = e20) & ~ (all_0_134_134 = e21)) | ( ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) % 21.38/5.54 | % 21.38/5.54 +-Applying beta-rule and splitting (533), into two cases. % 21.38/5.54 |-Branch one: % 21.38/5.54 | (534) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) | (all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_133_133 = e20 & ~ (all_0_127_127 = e23) & ~ (all_0_128_128 = e22) & ~ (all_0_129_129 = e21) & ~ (all_0_130_130 = e20) & ~ (all_0_134_134 = e21)) % 21.38/5.54 | % 21.38/5.54 +-Applying beta-rule and splitting (534), into two cases. % 21.38/5.54 |-Branch one: % 21.38/5.54 | (535) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) | (all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) % 21.38/5.54 | % 21.38/5.54 +-Applying beta-rule and splitting (535), into two cases. % 21.38/5.54 |-Branch one: % 21.38/5.54 | (536) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) | (all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20)) % 21.38/5.54 | % 21.38/5.54 +-Applying beta-rule and splitting (536), into two cases. % 21.38/5.54 |-Branch one: % 21.38/5.54 | (537) (all_0_123_123 = e22 & ~ (all_0_124_124 = e23)) | (all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20)) % 21.38/5.54 | % 21.38/5.54 +-Applying beta-rule and splitting (537), into two cases. % 21.38/5.54 |-Branch one: % 21.38/5.54 | (538) all_0_123_123 = e22 & ~ (all_0_124_124 = e23) % 21.38/5.54 | % 21.38/5.54 | Applying alpha-rule on (538) yields: % 21.38/5.54 | (539) all_0_123_123 = e22 % 21.38/5.54 | (540) ~ (all_0_124_124 = e23) % 21.38/5.54 | % 21.38/5.54 | Combining equations (462,539) yields a new equation: % 21.38/5.54 | (429) e22 = e20 % 21.38/5.54 | % 21.38/5.54 | Equations (429) can reduce 121 to: % 21.38/5.54 | (423) $false % 21.38/5.54 | % 21.38/5.54 |-The branch is then unsatisfiable % 21.38/5.54 |-Branch two: % 21.38/5.54 | (543) all_0_126_126 = e22 & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20) % 21.38/5.54 | % 21.38/5.54 | Applying alpha-rule on (543) yields: % 21.38/5.54 | (428) all_0_126_126 = e22 % 21.38/5.54 | (545) ~ (all_0_132_132 = e22) % 21.38/5.54 | (418) ~ (all_0_133_133 = e21) % 21.38/5.54 | (547) ~ (all_0_134_134 = e20) % 21.38/5.54 | (548) ~ (all_0_131_131 = e23) % 21.38/5.54 | % 21.38/5.54 | Equations (652) can reduce 547 to: % 21.38/5.54 | (423) $false % 21.38/5.54 | % 21.38/5.54 |-The branch is then unsatisfiable % 21.38/5.54 |-Branch two: % 21.38/5.54 | (550) all_0_128_128 = e21 & ~ (all_0_123_123 = e23) & ~ (all_0_124_124 = e22) & ~ (all_0_125_125 = e21) & ~ (all_0_126_126 = e20) % 21.38/5.54 | % 21.38/5.54 | Applying alpha-rule on (550) yields: % 21.38/5.54 | (471) ~ (all_0_124_124 = e22) % 21.38/5.54 | (404) all_0_128_128 = e21 % 21.38/5.54 | (553) ~ (all_0_125_125 = e21) % 21.38/5.54 | (460) ~ (all_0_126_126 = e20) % 21.38/5.54 | (524) ~ (all_0_123_123 = e23) % 21.38/5.54 | % 21.38/5.54 | Equations (404) can reduce 733 to: % 21.38/5.54 | (423) $false % 21.38/5.54 | % 21.38/5.54 |-The branch is then unsatisfiable % 21.38/5.54 |-Branch two: % 21.38/5.54 | (557) all_0_130_130 = e21 & ~ (all_0_129_129 = e20) & ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20) % 21.38/5.54 | % 21.38/5.54 | Applying alpha-rule on (557) yields: % 21.38/5.54 | (545) ~ (all_0_132_132 = e22) % 21.38/5.54 | (418) ~ (all_0_133_133 = e21) % 21.38/5.54 | (547) ~ (all_0_134_134 = e20) % 21.38/5.54 | (474) ~ (all_0_129_129 = e20) % 21.38/5.54 | (446) all_0_130_130 = e21 % 21.38/5.54 | (548) ~ (all_0_131_131 = e23) % 21.38/5.54 | % 21.38/5.54 | Equations (652) can reduce 547 to: % 21.38/5.54 | (423) $false % 21.38/5.54 | % 21.38/5.54 |-The branch is then unsatisfiable % 21.38/5.54 |-Branch two: % 21.38/5.54 | (566) all_0_133_133 = e20 & ~ (all_0_127_127 = e23) & ~ (all_0_128_128 = e22) & ~ (all_0_129_129 = e21) & ~ (all_0_130_130 = e20) & ~ (all_0_134_134 = e21) % 21.38/5.54 | % 21.38/5.54 | Applying alpha-rule on (566) yields: % 21.38/5.54 | (567) ~ (all_0_134_134 = e21) % 21.38/5.54 | (511) all_0_133_133 = e20 % 21.38/5.54 | (416) ~ (all_0_129_129 = e21) % 21.38/5.54 | (483) ~ (all_0_127_127 = e23) % 21.38/5.55 | (507) ~ (all_0_128_128 = e22) % 21.38/5.55 | (572) ~ (all_0_130_130 = e20) % 21.38/5.55 | % 21.38/5.55 | Combining equations (495,511) yields a new equation: % 21.38/5.55 | (2781) e21 = e20 % 21.38/5.55 | % 21.38/5.55 | Simplifying 2781 yields: % 21.38/5.55 | (564) e21 = e20 % 21.38/5.55 | % 21.38/5.55 | Equations (564) can reduce 326 to: % 21.38/5.55 | (423) $false % 21.38/5.55 | % 21.38/5.55 |-The branch is then unsatisfiable % 21.38/5.55 |-Branch two: % 21.38/5.55 | (574) ~ (all_0_131_131 = e23) & ~ (all_0_132_132 = e22) & ~ (all_0_133_133 = e21) & ~ (all_0_134_134 = e20) % 21.38/5.55 | % 21.38/5.55 | Applying alpha-rule on (574) yields: % 21.38/5.55 | (548) ~ (all_0_131_131 = e23) % 21.38/5.55 | (545) ~ (all_0_132_132 = e22) % 21.38/5.55 | (418) ~ (all_0_133_133 = e21) % 21.38/5.55 | (547) ~ (all_0_134_134 = e20) % 21.38/5.55 | % 21.38/5.55 | Equations (652) can reduce 547 to: % 21.38/5.55 | (423) $false % 21.38/5.55 | % 21.38/5.55 |-The branch is then unsatisfiable % 21.38/5.55 |-Branch two: % 21.38/5.55 | (547) ~ (all_0_134_134 = e20) % 21.38/5.55 | (452) all_0_134_134 = e22 % 21.38/5.55 | % 21.38/5.55 | Equations (452) can reduce 5761 to: % 21.38/5.55 | (423) $false % 21.38/5.55 | % 21.38/5.55 |-The branch is then unsatisfiable % 21.38/5.55 |-Branch two: % 21.38/5.55 | (655) ~ (all_0_123_123 = e20) % 21.38/5.55 | (656) all_0_125_125 = e20 | all_0_126_126 = e20 % 21.38/5.55 | % 21.38/5.55 +-Applying beta-rule and splitting (311), into two cases. % 21.38/5.55 |-Branch one: % 21.38/5.55 | (462) all_0_123_123 = e20 % 21.38/5.55 | % 21.38/5.55 | Equations (462) can reduce 655 to: % 21.38/5.55 | (423) $false % 21.38/5.55 | % 21.38/5.55 |-The branch is then unsatisfiable % 21.38/5.55 |-Branch two: % 21.38/5.55 | (655) ~ (all_0_123_123 = e20) % 21.38/5.55 | (683) all_0_123_123 = e23 | all_0_123_123 = e22 % 21.38/5.55 | % 21.38/5.55 +-Applying beta-rule and splitting (656), into two cases. % 21.38/5.55 |-Branch one: % 21.38/5.55 | (772) all_0_125_125 = e20 % 21.38/5.55 | % 21.38/5.55 | Combining equations (772,775) yields a new equation: % 21.38/5.55 | (522) e23 = e20 % 21.38/5.55 | % 21.38/5.55 | Equations (522) can reduce 276 to: % 21.38/5.55 | (423) $false % 21.38/5.55 | % 21.38/5.55 |-The branch is then unsatisfiable % 21.38/5.55 |-Branch two: % 21.38/5.55 | (764) ~ (all_0_125_125 = e20) % 21.38/5.55 | (426) all_0_126_126 = e20 % 21.38/5.55 | % 21.38/5.55 | Equations (426) can reduce 238 to: % 21.38/5.55 | (4898) ~ (all_0_134_134 = e20) % 21.38/5.55 | % 21.38/5.55 | Simplifying 4898 yields: % 21.38/5.55 | (547) ~ (all_0_134_134 = e20) % 21.38/5.55 | % 21.38/5.55 | Equations (426) can reduce 125 to: % 21.38/5.55 | (513) ~ (e23 = e20) % 21.38/5.55 | % 21.38/5.55 | Simplifying 513 yields: % 21.38/5.55 | (276) ~ (e23 = e20) % 21.38/5.55 | % 21.38/5.55 | Equations (426) can reduce 394 to: % 21.38/5.55 | (465) ~ (e21 = e20) % 21.38/5.55 | % 21.38/5.55 | Simplifying 465 yields: % 21.38/5.55 | (326) ~ (e21 = e20) % 21.38/5.55 | % 21.38/5.55 +-Applying beta-rule and splitting (150), into two cases. % 21.38/5.55 |-Branch one: % 21.38/5.55 | (528) all_0_131_131 = e20 % 21.38/5.55 | % 21.38/5.55 | Equations (528) can reduce 208 to: % 21.38/5.55 | (655) ~ (all_0_123_123 = e20) % 21.38/5.55 | % 21.38/5.55 | From (528) and (137) follows: % 21.38/5.55 | (6220) op2(e20, e20) = all_0_101_101 % 21.38/5.55 | % 21.38/5.55 +-Applying beta-rule and splitting (75), into two cases. % 21.38/5.55 |-Branch one: % 21.38/5.55 | (521) all_0_123_123 = e23 % 21.38/5.55 | % 21.38/5.55 | Equations (521) can reduce 524 to: % 21.38/5.55 | (423) $false % 21.38/5.55 | % 21.38/5.55 |-The branch is then unsatisfiable % 21.38/5.55 |-Branch two: % 21.38/5.55 | (524) ~ (all_0_123_123 = e23) % 21.38/5.55 | (932) all_0_127_127 = e23 | all_0_131_131 = e23 % 21.38/5.55 | % 21.38/5.55 +-Applying beta-rule and splitting (932), into two cases. % 21.38/5.55 |-Branch one: % 21.38/5.55 | (933) all_0_127_127 = e23 % 21.38/5.55 | % 21.38/5.55 | Equations (933) can reduce 304 to: % 21.38/5.55 | (524) ~ (all_0_123_123 = e23) % 21.38/5.55 | % 21.38/5.55 | Equations (933) can reduce 126 to: % 21.38/5.55 | (934) ~ (all_0_128_128 = e23) % 21.38/5.55 | % 21.38/5.55 | Simplifying 934 yields: % 21.38/5.55 | (935) ~ (all_0_128_128 = e23) % 21.38/5.55 | % 21.38/5.55 | Equations (933) can reduce 329 to: % 21.38/5.55 | (288) ~ (e23 = e21) % 21.38/5.55 | % 21.38/5.55 | From (933) and (100) follows: % 21.38/5.55 | (6230) op2(e23, e21) = all_0_100_100 % 21.38/5.55 | % 21.38/5.55 +-Applying beta-rule and splitting (164), into two cases. % 21.38/5.55 |-Branch one: % 21.38/5.55 | (404) all_0_128_128 = e21 % 21.38/5.55 | % 21.38/5.55 | Equations (404) can reduce 733 to: % 21.38/5.55 | (423) $false % 21.38/5.55 | % 21.38/5.55 |-The branch is then unsatisfiable % 21.38/5.55 |-Branch two: % 21.38/5.55 | (733) ~ (all_0_128_128 = e21) % 21.38/5.55 | (798) all_0_128_128 = e23 | all_0_128_128 = e22 % 21.38/5.55 | % 21.38/5.55 +-Applying beta-rule and splitting (278), into two cases. % 21.38/5.55 |-Branch one: % 21.38/5.55 | (618) all_0_124_124 = e23 % 21.38/5.55 | % 21.38/5.55 | Combining equations (487,618) yields a new equation: % 21.38/5.55 | (4651) e23 = e21 % 21.38/5.55 | % 21.38/5.55 | Equations (4651) can reduce 288 to: % 21.38/5.55 | (423) $false % 21.38/5.55 | % 21.38/5.55 |-The branch is then unsatisfiable % 21.38/5.55 |-Branch two: % 21.38/5.55 | (540) ~ (all_0_124_124 = e23) % 21.38/5.55 | (633) all_0_128_128 = e23 | all_0_132_132 = e23 % 21.38/5.55 | % 21.38/5.55 +-Applying beta-rule and splitting (683), into two cases. % 21.38/5.55 |-Branch one: % 21.38/5.55 | (539) all_0_123_123 = e22 % 21.38/5.55 | % 21.38/5.55 | Equations (539) can reduce 524 to: % 21.38/5.55 | (492) ~ (e23 = e22) % 21.38/5.55 | % 21.38/5.55 | Simplifying 492 yields: % 21.38/5.55 | (28) ~ (e23 = e22) % 21.38/5.55 | % 21.38/5.55 | Equations (539) can reduce 655 to: % 21.38/5.55 | (121) ~ (e22 = e20) % 21.38/5.55 | % 21.38/5.55 | From (539)(539) and (6099) follows: % 21.38/5.55 | (6244) op2(e22, e22) = all_0_37_37 % 21.38/5.55 | % 21.38/5.55 | From (539) and (321) follows: % 21.38/5.55 | (6245) op2(e22, e22) = all_0_99_99 % 21.38/5.55 | % 21.38/5.55 | From (539) and (6104) follows: % 21.38/5.55 | (6246) op2(e22, e22) = all_0_14_14 % 21.38/5.55 | % 21.38/5.55 +-Applying beta-rule and splitting (633), into two cases. % 21.38/5.55 |-Branch one: % 21.38/5.55 | (820) all_0_128_128 = e23 % 21.38/5.55 | % 21.38/5.55 | Equations (820) can reduce 935 to: % 21.38/5.55 | (423) $false % 21.38/5.55 | % 21.38/5.55 |-The branch is then unsatisfiable % 21.38/5.55 |-Branch two: % 21.38/5.55 | (935) ~ (all_0_128_128 = e23) % 21.38/5.55 | (582) all_0_132_132 = e23 % 21.38/5.55 | % 21.38/5.55 | Equations (582) can reduce 61 to: % 21.38/5.55 | (935) ~ (all_0_128_128 = e23) % 21.38/5.55 | % 21.38/5.55 +-Applying beta-rule and splitting (322), into two cases. % 21.38/5.55 |-Branch one: % 21.38/5.55 | (628) all_0_131_131 = e22 % 21.38/5.55 | % 21.38/5.55 | Combining equations (628,528) yields a new equation: % 21.38/5.55 | (780) e22 = e20 % 21.38/5.55 | % 21.38/5.55 | Simplifying 780 yields: % 21.38/5.55 | (429) e22 = e20 % 21.38/5.55 | % 21.38/5.55 | Equations (429) can reduce 121 to: % 21.38/5.55 | (423) $false % 21.38/5.55 | % 21.38/5.55 |-The branch is then unsatisfiable % 21.38/5.55 |-Branch two: % 21.38/5.55 | (4868) ~ (all_0_131_131 = e22) % 21.38/5.55 | (5187) all_0_132_132 = e22 | all_0_134_134 = e22 % 21.38/5.55 | % 21.38/5.55 +-Applying beta-rule and splitting (202), into two cases. % 21.38/5.55 |-Branch one: % 21.38/5.55 | (491) all_0_127_127 = e22 % 21.38/5.55 | % 21.38/5.55 | Combining equations (933,491) yields a new equation: % 21.38/5.55 | (583) e23 = e22 % 21.38/5.55 | % 21.38/5.55 | Simplifying 583 yields: % 21.38/5.55 | (584) e23 = e22 % 21.38/5.55 | % 21.38/5.55 | Equations (584) can reduce 28 to: % 21.38/5.55 | (423) $false % 21.38/5.55 | % 21.38/5.55 |-The branch is then unsatisfiable % 21.38/5.55 |-Branch two: % 21.38/5.55 | (593) ~ (all_0_127_127 = e22) % 21.38/5.55 | (594) all_0_128_128 = e22 | all_0_130_130 = e22 % 21.38/5.55 | % 21.38/5.55 | Equations (933) can reduce 593 to: % 21.38/5.55 | (28) ~ (e23 = e22) % 21.38/5.55 | % 21.38/5.55 +-Applying beta-rule and splitting (5187), into two cases. % 21.38/5.55 |-Branch one: % 21.38/5.55 | (508) all_0_132_132 = e22 % 21.38/5.55 | % 21.38/5.55 | Combining equations (582,508) yields a new equation: % 21.38/5.55 | (583) e23 = e22 % 21.38/5.55 | % 21.38/5.55 | Simplifying 583 yields: % 21.38/5.55 | (584) e23 = e22 % 21.38/5.55 | % 21.38/5.55 | Equations (584) can reduce 28 to: % 21.38/5.55 | (423) $false % 21.38/5.55 | % 21.38/5.55 |-The branch is then unsatisfiable % 21.38/5.55 |-Branch two: % 21.38/5.55 | (545) ~ (all_0_132_132 = e22) % 21.38/5.55 | (452) all_0_134_134 = e22 % 21.38/5.55 | % 21.38/5.55 | From (452)(452) and (230) follows: % 21.38/5.55 | (6271) op2(e22, e22) = all_0_81_81 % 21.38/5.55 | % 21.38/5.55 | From (452) and (206) follows: % 21.38/5.55 | (6272) op2(e20, e20) = e22 % 21.38/5.55 | % 21.38/5.55 +-Applying beta-rule and splitting (798), into two cases. % 21.38/5.55 |-Branch one: % 21.38/5.55 | (503) all_0_128_128 = e22 % 21.38/5.55 | % 21.38/5.55 | Equations (503) can reduce 935 to: % 21.38/5.55 | (492) ~ (e23 = e22) % 21.38/5.55 | % 21.38/5.55 | Simplifying 492 yields: % 21.38/5.55 | (28) ~ (e23 = e22) % 21.38/5.55 | % 21.38/5.55 | Equations (503) can reduce 733 to: % 21.38/5.55 | (248) ~ (e22 = e21) % 21.38/5.55 | % 21.38/5.55 | Equations (503) can reduce 231 to: % 21.38/5.55 | (121) ~ (e22 = e20) % 21.38/5.55 | % 21.38/5.55 | Instantiating formula (3) with e23, e21, all_0_100_100, e22 and discharging atoms op2(e23, e21) = all_0_100_100, op2(e23, e21) = e22, yields: % 21.38/5.55 | (6278) all_0_100_100 = e22 % 21.38/5.55 | % 21.38/5.55 | Instantiating formula (3) with e22, e22, all_0_37_37, all_0_14_14 and discharging atoms op2(e22, e22) = all_0_14_14, op2(e22, e22) = all_0_37_37, yields: % 21.38/5.55 | (6279) all_0_14_14 = all_0_37_37 % 21.38/5.55 | % 21.38/5.55 | Instantiating formula (3) with e22, e22, all_0_81_81, e21 and discharging atoms op2(e22, e22) = all_0_81_81, op2(e22, e22) = e21, yields: % 21.38/5.55 | (6280) all_0_81_81 = e21 % 21.38/5.55 | % 21.38/5.55 | Instantiating formula (3) with e22, e22, all_0_81_81, all_0_37_37 and discharging atoms op2(e22, e22) = all_0_37_37, op2(e22, e22) = all_0_81_81, yields: % 21.38/5.55 | (6281) all_0_37_37 = all_0_81_81 % 21.38/5.55 | % 21.38/5.55 | Instantiating formula (3) with e22, e22, all_0_99_99, all_0_14_14 and discharging atoms op2(e22, e22) = all_0_14_14, op2(e22, e22) = all_0_99_99, yields: % 21.38/5.55 | (6282) all_0_14_14 = all_0_99_99 % 21.38/5.55 | % 21.38/5.55 | Instantiating formula (3) with e20, e20, e22, all_0_101_101 and discharging atoms op2(e20, e20) = all_0_101_101, op2(e20, e20) = e22, yields: % 21.38/5.55 | (6283) all_0_101_101 = e22 % 21.38/5.55 | % 21.38/5.55 | Combining equations (6279,6282) yields a new equation: % 21.38/5.55 | (6284) all_0_37_37 = all_0_99_99 % 21.38/5.55 | % 21.38/5.55 | Simplifying 6284 yields: % 21.38/5.55 | (6285) all_0_37_37 = all_0_99_99 % 21.38/5.55 | % 21.38/5.56 | Combining equations (6281,6285) yields a new equation: % 21.38/5.56 | (6286) all_0_81_81 = all_0_99_99 % 21.38/5.56 | % 21.38/5.56 | Simplifying 6286 yields: % 21.38/5.56 | (6287) all_0_81_81 = all_0_99_99 % 21.38/5.56 | % 21.38/5.56 | Combining equations (6280,6287) yields a new equation: % 21.38/5.56 | (6288) all_0_99_99 = e21 % 21.38/5.56 | % 21.38/5.56 +-Applying beta-rule and splitting (156), into two cases. % 21.38/5.56 |-Branch one: % 21.38/5.56 | (6289) all_0_99_99 = all_0_123_123 % 21.38/5.56 | % 21.38/5.56 | Combining equations (6288,6289) yields a new equation: % 21.38/5.56 | (6290) all_0_123_123 = e21 % 21.38/5.56 | % 21.38/5.56 | Combining equations (6290,539) yields a new equation: % 21.38/5.56 | (447) e22 = e21 % 21.38/5.56 | % 21.38/5.56 | Equations (447) can reduce 248 to: % 21.38/5.56 | (423) $false % 21.38/5.56 | % 21.38/5.56 |-The branch is then unsatisfiable % 21.38/5.56 |-Branch two: % 21.38/5.56 | (6293) ~ (all_0_99_99 = all_0_123_123) % 21.38/5.56 | (6294) all_0_100_100 = all_0_127_127 | all_0_101_101 = all_0_131_131 % 21.38/5.56 | % 21.38/5.56 +-Applying beta-rule and splitting (6294), into two cases. % 21.38/5.56 |-Branch one: % 21.38/5.56 | (6295) all_0_100_100 = all_0_127_127 % 21.38/5.56 | % 21.38/5.56 | Combining equations (6278,6295) yields a new equation: % 21.38/5.56 | (491) all_0_127_127 = e22 % 21.38/5.56 | % 21.38/5.56 | Combining equations (933,491) yields a new equation: % 21.38/5.56 | (583) e23 = e22 % 21.38/5.56 | % 21.38/5.56 | Simplifying 583 yields: % 21.38/5.56 | (584) e23 = e22 % 21.38/5.56 | % 21.38/5.56 | Equations (584) can reduce 28 to: % 21.38/5.56 | (423) $false % 21.38/5.56 | % 21.38/5.56 |-The branch is then unsatisfiable % 21.38/5.56 |-Branch two: % 21.38/5.56 | (6300) ~ (all_0_100_100 = all_0_127_127) % 21.38/5.56 | (6301) all_0_101_101 = all_0_131_131 % 21.38/5.56 | % 21.38/5.56 | Combining equations (6283,6301) yields a new equation: % 21.38/5.56 | (628) all_0_131_131 = e22 % 21.38/5.56 | % 21.38/5.56 | Combining equations (528,628) yields a new equation: % 21.38/5.56 | (429) e22 = e20 % 21.38/5.56 | % 21.38/5.56 | Equations (429) can reduce 121 to: % 21.38/5.56 | (423) $false % 21.38/5.56 | % 21.38/5.56 |-The branch is then unsatisfiable % 21.38/5.56 |-Branch two: % 21.38/5.56 | (507) ~ (all_0_128_128 = e22) % 21.38/5.56 | (820) all_0_128_128 = e23 % 21.38/5.56 | % 21.38/5.56 | Equations (820) can reduce 935 to: % 21.38/5.56 | (423) $false % 21.38/5.56 | % 21.38/5.56 |-The branch is then unsatisfiable % 21.38/5.56 |-Branch two: % 21.38/5.56 | (623) ~ (all_0_123_123 = e22) % 21.38/5.56 | (521) all_0_123_123 = e23 % 21.38/5.56 | % 21.38/5.56 | Equations (521) can reduce 524 to: % 21.38/5.56 | (423) $false % 21.38/5.56 | % 21.38/5.56 |-The branch is then unsatisfiable % 21.38/5.56 |-Branch two: % 21.38/5.56 | (483) ~ (all_0_127_127 = e23) % 21.38/5.56 | (519) all_0_131_131 = e23 % 21.38/5.56 | % 21.38/5.56 | Combining equations (528,519) yields a new equation: % 21.38/5.56 | (522) e23 = e20 % 21.38/5.56 | % 21.38/5.56 | Equations (522) can reduce 276 to: % 21.38/5.56 | (423) $false % 21.38/5.56 | % 21.38/5.56 |-The branch is then unsatisfiable % 21.38/5.56 |-Branch two: % 21.38/5.56 | (512) ~ (all_0_131_131 = e20) % 21.38/5.56 | (5345) all_0_133_133 = e20 | all_0_134_134 = e20 % 21.38/5.56 | % 21.38/5.56 +-Applying beta-rule and splitting (259), into two cases. % 21.38/5.56 |-Branch one: % 21.38/5.56 | (539) all_0_123_123 = e22 % 21.38/5.56 | % 21.38/5.56 +-Applying beta-rule and splitting (4691), into two cases. % 21.38/5.56 |-Branch one: % 21.38/5.56 | (652) all_0_134_134 = e20 % 21.38/5.56 | % 21.38/5.56 | Equations (652) can reduce 547 to: % 21.38/5.56 | (423) $false % 21.38/5.56 | % 21.38/5.56 |-The branch is then unsatisfiable % 21.38/5.56 |-Branch two: % 21.38/5.56 | (547) ~ (all_0_134_134 = e20) % 21.38/5.56 | (452) all_0_134_134 = e22 % 21.38/5.56 | % 21.38/5.56 | Equations (452) can reduce 547 to: % 21.38/5.56 | (121) ~ (e22 = e20) % 21.38/5.56 | % 21.38/5.56 +-Applying beta-rule and splitting (22), into two cases. % 21.38/5.56 |-Branch one: % 21.38/5.56 | (462) all_0_123_123 = e20 % 21.38/5.56 | % 21.38/5.56 | Combining equations (539,462) yields a new equation: % 21.38/5.56 | (780) e22 = e20 % 21.38/5.56 | % 21.38/5.56 | Simplifying 780 yields: % 21.38/5.56 | (429) e22 = e20 % 21.38/5.56 | % 21.38/5.56 | Equations (429) can reduce 121 to: % 21.38/5.56 | (423) $false % 21.38/5.56 | % 21.38/5.56 |-The branch is then unsatisfiable % 21.38/5.56 |-Branch two: % 21.38/5.56 | (655) ~ (all_0_123_123 = e20) % 21.38/5.56 | (679) all_0_127_127 = e20 | all_0_131_131 = e20 % 21.38/5.56 | % 21.38/5.56 | Equations (539) can reduce 655 to: % 21.38/5.56 | (121) ~ (e22 = e20) % 21.38/5.56 | % 21.38/5.56 +-Applying beta-rule and splitting (5345), into two cases. % 21.38/5.56 |-Branch one: % 21.38/5.56 | (511) all_0_133_133 = e20 % 21.38/5.56 | % 21.38/5.56 | Combining equations (511,495) yields a new equation: % 21.38/5.56 | (564) e21 = e20 % 21.38/5.56 | % 21.38/5.56 | Equations (564) can reduce 326 to: % 21.38/5.56 | (423) $false % 21.38/5.56 | % 21.38/5.56 |-The branch is then unsatisfiable % 21.38/5.56 |-Branch two: % 21.38/5.56 | (590) ~ (all_0_133_133 = e20) % 21.38/5.56 | (652) all_0_134_134 = e20 % 21.38/5.56 | % 21.38/5.56 | Combining equations (452,652) yields a new equation: % 21.38/5.56 | (780) e22 = e20 % 21.38/5.56 | % 21.38/5.56 | Simplifying 780 yields: % 21.38/5.56 | (429) e22 = e20 % 21.38/5.56 | % 21.38/5.56 | Equations (429) can reduce 121 to: % 21.38/5.56 | (423) $false % 21.38/5.56 | % 21.38/5.56 |-The branch is then unsatisfiable % 21.38/5.56 |-Branch two: % 21.38/5.56 | (623) ~ (all_0_123_123 = e22) % 21.38/5.56 | (840) all_0_124_124 = e22 | all_0_126_126 = e22 % 21.38/5.56 | % 21.38/5.56 +-Applying beta-rule and splitting (840), into two cases. % 21.38/5.56 |-Branch one: % 21.38/5.56 | (499) all_0_124_124 = e22 % 21.38/5.56 | % 21.38/5.56 | Combining equations (499,487) yields a new equation: % 21.38/5.56 | (457) e22 = e21 % 21.38/5.56 | % 21.38/5.56 | Simplifying 457 yields: % 21.38/5.56 | (447) e22 = e21 % 21.38/5.56 | % 21.38/5.56 | Equations (447) can reduce 248 to: % 21.38/5.56 | (423) $false % 21.38/5.56 | % 21.38/5.56 |-The branch is then unsatisfiable % 21.38/5.56 |-Branch two: % 21.38/5.56 | (471) ~ (all_0_124_124 = e22) % 21.38/5.56 | (428) all_0_126_126 = e22 % 21.38/5.56 | % 21.38/5.56 | Combining equations (428,426) yields a new equation: % 21.38/5.56 | (780) e22 = e20 % 21.38/5.56 | % 21.38/5.56 | Simplifying 780 yields: % 21.38/5.56 | (429) e22 = e20 % 21.38/5.56 | % 21.38/5.56 | Equations (429) can reduce 121 to: % 21.38/5.56 | (423) $false % 21.38/5.56 | % 21.38/5.56 |-The branch is then unsatisfiable % 21.38/5.56 |-Branch two: % 21.38/5.56 | (4647) ~ (all_0_125_125 = e23) % 21.38/5.56 | (4648) all_0_129_129 = e23 | all_0_133_133 = e23 % 21.38/5.56 | % 21.38/5.56 +-Applying beta-rule and splitting (771), into two cases. % 21.38/5.56 |-Branch one: % 21.38/5.56 | (772) all_0_125_125 = e20 % 21.38/5.56 | % 21.38/5.56 | Equations (772) can reduce 764 to: % 21.38/5.56 | (423) $false % 21.38/5.56 | % 21.38/5.56 |-The branch is then unsatisfiable % 21.38/5.56 |-Branch two: % 21.38/5.56 | (764) ~ (all_0_125_125 = e20) % 21.38/5.56 | (775) all_0_125_125 = e23 % 21.38/5.56 | % 21.38/5.56 | Equations (775) can reduce 4647 to: % 21.38/5.56 | (423) $false % 21.38/5.56 | % 21.38/5.56 |-The branch is then unsatisfiable % 21.38/5.56 |-Branch two: % 21.38/5.56 | (474) ~ (all_0_129_129 = e20) % 21.38/5.56 | (511) all_0_133_133 = e20 % 21.38/5.56 | % 21.38/5.56 | Combining equations (511,495) yields a new equation: % 21.38/5.56 | (564) e21 = e20 % 21.38/5.56 | % 21.38/5.56 | Equations (564) can reduce 326 to: % 21.38/5.56 | (423) $false % 21.38/5.56 | % 21.38/5.56 |-The branch is then unsatisfiable % 21.38/5.56 |-Branch two: % 21.38/5.56 | (405) ~ (all_0_124_124 = e21) % 21.38/5.56 | (727) all_0_125_125 = e21 | all_0_126_126 = e21 % 21.38/5.56 | % 21.38/5.56 +-Applying beta-rule and splitting (727), into two cases. % 21.38/5.56 |-Branch one: % 21.38/5.56 | (410) all_0_125_125 = e21 % 21.38/5.56 | % 21.38/5.56 | Equations (410) can reduce 553 to: % 21.38/5.56 | (423) $false % 21.38/5.56 | % 21.38/5.56 |-The branch is then unsatisfiable % 21.38/5.56 |-Branch two: % 21.38/5.56 | (553) ~ (all_0_125_125 = e21) % 21.38/5.56 | (422) all_0_126_126 = e21 % 21.38/5.56 | % 21.38/5.56 | Equations (422) can reduce 394 to: % 21.38/5.56 | (423) $false % 21.38/5.56 | % 21.38/5.56 |-The branch is then unsatisfiable % 21.38/5.56 |-Branch two: % 21.38/5.56 | (418) ~ (all_0_133_133 = e21) % 21.38/5.56 | (393) all_0_134_134 = e21 % 21.38/5.56 | % 21.38/5.56 | Equations (393) can reduce 567 to: % 21.38/5.56 | (423) $false % 21.38/5.56 | % 21.38/5.56 |-The branch is then unsatisfiable % 21.38/5.56 % SZS output end Proof for theBenchmark % 21.38/5.56 % 21.38/5.56 4928ms %------------------------------------------------------------------------------