%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : ALG107+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n023.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 14 15:35:10 EDT 2022 % Result : Theorem 5.95s 1.90s % Output : Proof 12.66s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.04/0.11 % Problem : ALG107+1 : TPTP v8.1.0. Released v2.7.0. % 0.04/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.12/0.33 % Computer : n023.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Thu Jun 9 03:20:38 EDT 2022 % 0.12/0.33 % CPUTime : % 0.54/0.57 ____ _ % 0.54/0.57 ___ / __ \_____(_)___ ________ __________ % 0.54/0.57 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.54/0.57 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.54/0.57 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.54/0.57 % 0.54/0.57 A Theorem Prover for First-Order Logic % 0.54/0.57 (ePrincess v.1.0) % 0.54/0.57 % 0.54/0.57 (c) Philipp Rümmer, 2009-2015 % 0.54/0.57 (c) Peter Backeman, 2014-2015 % 0.54/0.57 (contributions by Angelo Brillout, Peter Baumgartner) % 0.54/0.57 Free software under GNU Lesser General Public License (LGPL). % 0.54/0.57 Bug reports to peter@backeman.se % 0.54/0.57 % 0.54/0.57 For more information, visit http://user.uu.se/~petba168/breu/ % 0.54/0.57 % 0.54/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.54/0.62 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 2.46/1.14 Prover 0: Preprocessing ... % 4.69/1.55 Prover 0: Constructing countermodel ... % 5.95/1.90 Prover 0: proved (1276ms) % 5.95/1.90 % 5.95/1.90 No countermodel exists, formula is valid % 5.95/1.90 % SZS status Theorem for theBenchmark % 5.95/1.90 % 5.95/1.90 Generating proof ... found it (size 1082) % 11.48/3.10 % 11.48/3.10 % SZS output start Proof for theBenchmark % 11.48/3.11 Assumed formulas after preprocessing and simplification: % 11.48/3.11 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : ? [v48] : ? [v49] : ? [v50] : ? [v51] : ? [v52] : ? [v53] : ? [v54] : ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : ? [v64] : ? [v65] : ? [v66] : ? [v67] : ? [v68] : ? [v69] : ? [v70] : ? [v71] : ? [v72] : ? [v73] : ? [v74] : ? [v75] : ? [v76] : ? [v77] : ? [v78] : ? [v79] : ? [v80] : ? [v81] : ? [v82] : ? [v83] : ? [v84] : ? [v85] : ? [v86] : ? [v87] : ? [v88] : ? [v89] : ? [v90] : ? [v91] : ? [v92] : ? [v93] : ? [v94] : ? [v95] : ? [v96] : ? [v97] : ? [v98] : ? [v99] : ? [v100] : ? [v101] : ? [v102] : ? [v103] : ? [v104] : ? [v105] : ? [v106] : ? [v107] : ? [v108] : ? [v109] : ? [v110] : ? [v111] : ? [v112] : ? [v113] : ? [v114] : ? [v115] : ? [v116] : ? [v117] : ? [v118] : ? [v119] : ? [v120] : ? [v121] : ? [v122] : ? [v123] : ? [v124] : ? [v125] : ? [v126] : ? [v127] : ? [v128] : ? [v129] : ? [v130] : ? [v131] : ? [v132] : ? [v133] : ? [v134] : ? [v135] : ? [v136] : ? [v137] : ? [v138] : ? [v139] : ? [v140] : ? [v141] : ? [v142] : ? [v143] : ? [v144] : ? [v145] : ? [v146] : ? [v147] : ? [v148] : ? [v149] : ? [v150] : ? [v151] : ( ~ (v25 = v24) & ~ (v25 = v23) & ~ (v25 = v22) & ~ (v25 = v21) & ~ (v25 = v19) & ~ (v25 = v16) & ~ (v24 = v23) & ~ (v24 = v22) & ~ (v24 = v18) & ~ (v24 = v15) & ~ (v24 = e20) & ~ (v23 = v22) & ~ (v23 = v20) & ~ (v23 = v17) & ~ (v23 = v14) & ~ (v22 = v13) & ~ (v22 = e23) & ~ (v22 = e21) & ~ (v21 = v20) & ~ (v21 = v19) & ~ (v21 = v16) & ~ (v21 = e21) & ~ (v21 = e20) & ~ (v20 = v17) & ~ (v20 = v14) & ~ (v20 = e21) & ~ (v20 = e20) & ~ (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v16) & ~ (v19 = e23) & ~ (v18 = v17) & ~ (v18 = v15) & ~ (v18 = e23) & ~ (v18 = e20) & ~ (v17 = v14) & ~ (v17 = e23) & ~ (v16 = v15) & ~ (v16 = v14) & ~ (v16 = v13) & ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = e20) & ~ (v14 = v13) & ~ (v13 = e23) & ~ (v13 = e21) & ~ (v12 = v11) & ~ (v12 = v10) & ~ (v12 = v9) & ~ (v12 = v8) & ~ (v12 = v6) & ~ (v12 = v3) & ~ (v11 = v10) & ~ (v11 = v9) & ~ (v11 = v5) & ~ (v11 = v2) & ~ (v11 = e10) & ~ (v10 = v9) & ~ (v10 = v7) & ~ (v10 = v4) & ~ (v10 = v1) & ~ (v9 = v0) & ~ (v9 = e13) & ~ (v9 = e11) & ~ (v8 = v7) & ~ (v8 = v6) & ~ (v8 = v3) & ~ (v8 = e11) & ~ (v8 = e10) & ~ (v7 = v4) & ~ (v7 = v1) & ~ (v7 = e11) & ~ (v7 = e10) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v3) & ~ (v6 = e13) & ~ (v5 = v4) & ~ (v5 = v2) & ~ (v5 = e13) & ~ (v5 = e10) & ~ (v4 = v1) & ~ (v4 = e13) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v2 = e10) & ~ (v1 = v0) & ~ (v0 = e13) & ~ (v0 = e11) & ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e23 = e13) & ~ (e23 = e12) & ~ (e23 = e11) & ~ (e23 = e10) & ~ (e22 = e21) & ~ (e22 = e20) & ~ (e22 = e13) & ~ (e22 = e12) & ~ (e22 = e11) & ~ (e22 = e10) & ~ (e21 = e20) & ~ (e21 = e13) & ~ (e21 = e12) & ~ (e21 = e11) & ~ (e21 = e10) & ~ (e20 = e13) & ~ (e20 = e12) & ~ (e20 = e11) & ~ (e20 = e10) & ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = e10) & ~ (e11 = e10) & op1(e13, v12) = v38 & op1(e13, v8) = v34 & op1(e13, v6) = v32 & op1(e13, v3) = v29 & op1(e13, e13) = v12 & op1(e13, e12) = v11 & op1(e13, e11) = v10 & op1(e13, e10) = v9 & op1(e12, v11) = v37 & op1(e12, v5) = v31 & op1(e12, v2) = v28 & op1(e12, e13) = v8 & op1(e12, e12) = e10 & op1(e12, e11) = v7 & op1(e12, e10) = e11 & op1(e11, v10) = v36 & op1(e11, v7) = v33 & op1(e11, v4) = v30 & op1(e11, v1) = v27 & op1(e11, e13) = v6 & op1(e11, e12) = v5 & op1(e11, e11) = v4 & op1(e11, e10) = e13 & op1(e10, v9) = v35 & op1(e10, v0) = v26 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10) = v0 & h1(v12) = v81 & h1(v11) = v79 & h1(v10) = v77 & h1(v9) = v75 & h1(v8) = v73 & h1(v7) = v71 & h1(v6) = v68 & h1(v5) = v66 & h1(v4) = v64 & h1(v3) = v61 & h1(v2) = v59 & h1(v1) = v57 & h1(v0) = v55 & h1(e13) = v52 & h1(e12) = e20 & h1(e11) = v39 & h1(e10) = v13 & h2(v12) = v109 & h2(v11) = v107 & h2(v10) = v105 & h2(v9) = v103 & h2(v8) = v101 & h2(v7) = v99 & h2(v6) = v96 & h2(v5) = v94 & h2(v4) = v92 & h2(v3) = v89 & h2(v2) = v87 & h2(v1) = v85 & h2(v0) = v83 & h2(e13) = v53 & h2(e12) = e21 & h2(e11) = v43 & h2(e10) = v17 & h3(v12) = v123 & h3(v11) = v122 & h3(v10) = v121 & h3(v9) = v120 & h3(v8) = v119 & h3(v7) = v118 & h3(v6) = v117 & h3(v5) = v116 & h3(v4) = v115 & h3(v3) = v114 & h3(v2) = v113 & h3(v1) = v112 & h3(v0) = v111 & h3(e13) = e23 & h3(e12) = e22 & h3(e11) = e21 & h3(e10) = e20 & h4(v12) = v150 & h4(v11) = v148 & h4(v10) = v146 & h4(v9) = v144 & h4(v8) = v142 & h4(v7) = v140 & h4(v6) = v137 & h4(v5) = v135 & h4(v4) = v133 & h4(v3) = v130 & h4(v2) = v128 & h4(v1) = v126 & h4(v0) = v124 & h4(e13) = v54 & h4(e12) = e23 & h4(e11) = v51 & h4(e10) = v25 & op2(v54, v54) = v151 & op2(v54, v51) = v147 & op2(v54, v25) = v145 & op2(v54, e23) = v149 & op2(v53, v53) = v110 & op2(v53, v43) = v106 & op2(v53, v17) = v104 & op2(v53, e21) = v108 & op2(v52, v52) = v82 & op2(v52, v39) = v78 & op2(v52, v13) = v76 & op2(v52, e20) = v80 & op2(v51, v54) = v138 & op2(v51, v51) = v134 & op2(v51, v25) = v132 & op2(v51, v25) = v54 & op2(v51, e23) = v136 & op2(v43, v53) = v97 & op2(v43, v43) = v93 & op2(v43, v17) = v91 & op2(v43, v17) = v53 & op2(v43, e21) = v95 & op2(v39, v52) = v69 & op2(v39, v39) = v65 & op2(v39, v13) = v63 & op2(v39, v13) = v52 & op2(v39, e20) = v67 & op2(v25, v54) = v131 & op2(v25, v51) = v127 & op2(v25, v25) = v125 & op2(v25, e23) = v129 & op2(v17, v53) = v90 & op2(v17, v43) = v86 & op2(v17, v17) = v84 & op2(v17, e21) = v88 & op2(v13, v52) = v62 & op2(v13, v39) = v58 & op2(v13, v13) = v56 & op2(v13, e20) = v60 & op2(e23, v54) = v143 & op2(e23, v51) = v141 & op2(e23, v25) = v139 & op2(e23, v25) = v51 & op2(e23, v21) = v47 & op2(e23, v19) = v45 & op2(e23, v16) = v42 & op2(e23, e23) = v25 & op2(e23, e22) = v24 & op2(e23, e21) = v23 & op2(e23, e20) = v22 & op2(e22, v24) = v50 & op2(e22, v18) = v44 & op2(e22, v15) = v41 & op2(e22, e23) = v21 & op2(e22, e22) = e20 & op2(e22, e21) = v20 & op2(e22, e20) = e21 & op2(e21, v53) = v102 & op2(e21, v43) = v100 & op2(e21, v23) = v49 & op2(e21, v20) = v46 & op2(e21, v17) = v98 & op2(e21, v17) = v43 & op2(e21, v14) = v40 & op2(e21, e23) = v19 & op2(e21, e22) = v18 & op2(e21, e21) = v17 & op2(e21, e20) = e23 & op2(e20, v52) = v74 & op2(e20, v39) = v72 & op2(e20, v22) = v48 & op2(e20, v13) = v70 & op2(e20, v13) = v39 & op2(e20, e23) = v16 & op2(e20, e22) = v15 & op2(e20, e21) = v14 & op2(e20, e20) = v13 & ! [v152] : ! [v153] : ! [v154] : ! [v155] : (v153 = v152 | ~ (op1(v155, v154) = v153) | ~ (op1(v155, v154) = v152)) & ! [v152] : ! [v153] : ! [v154] : ! [v155] : (v153 = v152 | ~ (op2(v155, v154) = v153) | ~ (op2(v155, v154) = v152)) & ! [v152] : ! [v153] : ! [v154] : (v153 = v152 | ~ (h1(v154) = v153) | ~ (h1(v154) = v152)) & ! [v152] : ! [v153] : ! [v154] : (v153 = v152 | ~ (h2(v154) = v153) | ~ (h2(v154) = v152)) & ! [v152] : ! [v153] : ! [v154] : (v153 = v152 | ~ (h3(v154) = v153) | ~ (h3(v154) = v152)) & ! [v152] : ! [v153] : ! [v154] : (v153 = v152 | ~ (h4(v154) = v153) | ~ (h4(v154) = v152)) & ( ~ (v151 = v150) | ~ (v149 = v148) | ~ (v147 = v146) | ~ (v145 = v144) | ~ (v143 = v142) | ~ (v141 = v140) | ~ (v139 = v51) | ~ (v138 = v137) | ~ (v136 = v135) | ~ (v134 = v133) | ~ (v132 = v54) | ~ (v131 = v130) | ~ (v129 = v128) | ~ (v127 = v126) | ~ (v125 = v124) | ( ~ (v54 = e22) & ~ (v51 = e22) & ~ (v25 = e22)) | ( ~ (v54 = e21) & ~ (v51 = e21) & ~ (v25 = e21)) | ( ~ (v54 = e20) & ~ (v51 = e20) & ~ (v25 = e20))) & ( ~ (v123 = v25) | ~ (v122 = v24) | ~ (v121 = v23) | ~ (v120 = v22) | ~ (v119 = v21) | ~ (v118 = v20) | ~ (v117 = v19) | ~ (v116 = v18) | ~ (v115 = v17) | ~ (v114 = v16) | ~ (v113 = v15) | ~ (v112 = v14) | ~ (v111 = v13)) & ( ~ (v110 = v109) | ~ (v108 = v107) | ~ (v106 = v105) | ~ (v104 = v103) | ~ (v102 = v101) | ~ (v100 = v99) | ~ (v98 = v43) | ~ (v97 = v96) | ~ (v95 = v94) | ~ (v93 = v92) | ~ (v91 = v53) | ~ (v90 = v89) | ~ (v88 = v87) | ~ (v86 = v85) | ~ (v84 = v83) | ( ~ (v53 = e23) & ~ (v43 = e23)) | ( ~ (v53 = e22) & ~ (v43 = e22) & ~ (v17 = e22)) | ( ~ (v53 = e20) & ~ (v43 = e20) & ~ (v17 = e20))) & ( ~ (v82 = v81) | ~ (v80 = v79) | ~ (v78 = v77) | ~ (v76 = v75) | ~ (v74 = v73) | ~ (v72 = v71) | ~ (v70 = v39) | ~ (v69 = v68) | ~ (v67 = v66) | ~ (v65 = v64) | ~ (v63 = v52) | ~ (v62 = v61) | ~ (v60 = v59) | ~ (v58 = v57) | ~ (v56 = v55) | ( ~ (v52 = e23) & ~ (v39 = e23)) | ( ~ (v52 = e22) & ~ (v39 = e22) & ~ (v13 = e22)) | ( ~ (v52 = e21) & ~ (v39 = e21))) & (v25 = e23 | v25 = e22 | v25 = e21 | v25 = e20) & (v25 = e23 | v24 = e23 | v23 = e23) & (v25 = e23 | v21 = e23 | v16 = e23) & (v25 = e22 | v24 = e22 | v23 = e22 | v22 = e22) & (v25 = e22 | v21 = e22 | v19 = e22 | v16 = e22) & (v25 = e21 | v24 = e21 | v23 = e21) & (v25 = e21 | v19 = e21 | v16 = e21) & (v25 = e20 | v23 = e20 | v22 = e20) & (v25 = e20 | v19 = e20 | v16 = e20) & (v24 = e23 | v24 = e22 | v24 = e21) & (v24 = e23 | v15 = e23) & (v24 = e22 | v18 = e22 | v15 = e22) & (v24 = e21 | v18 = e21 | v15 = e21) & (v23 = e23 | v23 = e22 | v23 = e21 | v23 = e20) & (v23 = e23 | v20 = e23 | v14 = e23) & (v23 = e22 | v20 = e22 | v17 = e22 | v14 = e22) & (v23 = e21 | v17 = e21 | v14 = e21) & (v23 = e20 | v17 = e20 | v14 = e20) & (v22 = e22 | v22 = e20) & (v22 = e22 | v13 = e22) & (v22 = e20 | v13 = e20) & (v21 = e23 | v21 = e22) & (v21 = e23 | v20 = e23) & (v21 = e22 | v20 = e22) & (v20 = e23 | v20 = e22) & (v19 = e22 | v19 = e21 | v19 = e20) & (v19 = e22 | v18 = e22 | v17 = e22) & (v19 = e21 | v18 = e21 | v17 = e21) & (v19 = e20 | v17 = e20) & (v18 = e22 | v18 = e21) & (v17 = e22 | v17 = e21 | v17 = e20) & (v16 = e23 | v16 = e22 | v16 = e21 | v16 = e20) & (v16 = e23 | v15 = e23 | v14 = e23) & (v16 = e22 | v15 = e22 | v14 = e22 | v13 = e22) & (v16 = e21 | v15 = e21 | v14 = e21) & (v16 = e20 | v14 = e20 | v13 = e20) & (v15 = e23 | v15 = e22 | v15 = e21) & (v14 = e23 | v14 = e22 | v14 = e21 | v14 = e20) & (v13 = e22 | v13 = e20) & (v12 = e13 | v12 = e12 | v12 = e11 | v12 = e10) & (v12 = e13 | v11 = e13 | v10 = e13) & (v12 = e13 | v8 = e13 | v3 = e13) & (v12 = e12 | v11 = e12 | v10 = e12 | v9 = e12) & (v12 = e12 | v8 = e12 | v6 = e12 | v3 = e12) & (v12 = e11 | v11 = e11 | v10 = e11) & (v12 = e11 | v6 = e11 | v3 = e11) & (v12 = e10 | v10 = e10 | v9 = e10) & (v12 = e10 | v6 = e10 | v3 = e10) & (v11 = e13 | v11 = e12 | v11 = e11) & (v11 = e13 | v2 = e13) & (v11 = e12 | v5 = e12 | v2 = e12) & (v11 = e11 | v5 = e11 | v2 = e11) & (v10 = e13 | v10 = e12 | v10 = e11 | v10 = e10) & (v10 = e13 | v7 = e13 | v1 = e13) & (v10 = e12 | v7 = e12 | v4 = e12 | v1 = e12) & (v10 = e11 | v4 = e11 | v1 = e11) & (v10 = e10 | v4 = e10 | v1 = e10) & (v9 = e12 | v9 = e10) & (v9 = e12 | v0 = e12) & (v9 = e10 | v0 = e10) & (v8 = e13 | v8 = e12) & (v8 = e13 | v7 = e13) & (v8 = e12 | v7 = e12) & (v7 = e13 | v7 = e12) & (v6 = e12 | v6 = e11 | v6 = e10) & (v6 = e12 | v5 = e12 | v4 = e12) & (v6 = e11 | v5 = e11 | v4 = e11) & (v6 = e10 | v4 = e10) & (v5 = e12 | v5 = e11) & (v4 = e12 | v4 = e11 | v4 = e10) & (v3 = e13 | v3 = e12 | v3 = e11 | v3 = e10) & (v3 = e13 | v2 = e13 | v1 = e13) & (v3 = e12 | v2 = e12 | v1 = e12 | v0 = e12) & (v3 = e11 | v2 = e11 | v1 = e11) & (v3 = e10 | v1 = e10 | v0 = e10) & (v2 = e13 | v2 = e12 | v2 = e11) & (v1 = e13 | v1 = e12 | v1 = e11 | v1 = e10) & (v0 = e12 | v0 = e10) & ((v51 = e23 & v50 = e22 & v49 = e21 & v48 = e20) | (v45 = e23 & v44 = e22 & v43 = e21 & v16 = e20) | (v42 = e23 & v41 = e22 & v40 = e21 & v39 = e20)) & ((v38 = e13 & v37 = e12 & v36 = e11 & v35 = e10) | (v32 = e13 & v31 = e12 & v30 = e11 & v3 = e10) | (v29 = e13 & v28 = e12 & v27 = e11 & v26 = e10))) % 11.71/3.17 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18, all_0_19_19, all_0_20_20, all_0_21_21, all_0_22_22, all_0_23_23, all_0_24_24, all_0_25_25, all_0_26_26, all_0_27_27, all_0_28_28, all_0_29_29, all_0_30_30, all_0_31_31, all_0_32_32, all_0_33_33, all_0_34_34, all_0_35_35, all_0_36_36, all_0_37_37, all_0_38_38, all_0_39_39, all_0_40_40, all_0_41_41, all_0_42_42, all_0_43_43, all_0_44_44, all_0_45_45, all_0_46_46, all_0_47_47, all_0_48_48, all_0_49_49, all_0_50_50, all_0_51_51, all_0_52_52, all_0_53_53, all_0_54_54, all_0_55_55, all_0_56_56, all_0_57_57, all_0_58_58, all_0_59_59, all_0_60_60, all_0_61_61, all_0_62_62, all_0_63_63, all_0_64_64, all_0_65_65, all_0_66_66, all_0_67_67, all_0_68_68, all_0_69_69, all_0_70_70, all_0_71_71, all_0_72_72, all_0_73_73, all_0_74_74, all_0_75_75, all_0_76_76, all_0_77_77, all_0_78_78, all_0_79_79, all_0_80_80, all_0_81_81, all_0_82_82, all_0_83_83, all_0_84_84, all_0_85_85, all_0_86_86, all_0_87_87, all_0_88_88, all_0_89_89, all_0_90_90, all_0_91_91, all_0_92_92, all_0_93_93, all_0_94_94, all_0_95_95, all_0_96_96, all_0_97_97, all_0_98_98, all_0_99_99, all_0_100_100, all_0_101_101, all_0_102_102, all_0_103_103, all_0_104_104, all_0_105_105, all_0_106_106, all_0_107_107, all_0_108_108, all_0_109_109, all_0_110_110, all_0_111_111, all_0_112_112, all_0_113_113, all_0_114_114, all_0_115_115, all_0_116_116, all_0_117_117, all_0_118_118, all_0_119_119, all_0_120_120, all_0_121_121, all_0_122_122, all_0_123_123, all_0_124_124, all_0_125_125, all_0_126_126, all_0_127_127, all_0_128_128, all_0_129_129, all_0_130_130, all_0_131_131, all_0_132_132, all_0_133_133, all_0_134_134, all_0_135_135, all_0_136_136, all_0_137_137, all_0_138_138, all_0_139_139, all_0_140_140, all_0_141_141, all_0_142_142, all_0_143_143, all_0_144_144, all_0_145_145, all_0_146_146, all_0_147_147, all_0_148_148, all_0_149_149, all_0_150_150, all_0_151_151 yields: % 11.71/3.17 | (1) ~ (all_0_126_126 = all_0_127_127) & ~ (all_0_126_126 = all_0_128_128) & ~ (all_0_126_126 = all_0_129_129) & ~ (all_0_126_126 = all_0_130_130) & ~ (all_0_126_126 = all_0_132_132) & ~ (all_0_126_126 = all_0_135_135) & ~ (all_0_127_127 = all_0_128_128) & ~ (all_0_127_127 = all_0_129_129) & ~ (all_0_127_127 = all_0_133_133) & ~ (all_0_127_127 = all_0_136_136) & ~ (all_0_127_127 = e20) & ~ (all_0_128_128 = all_0_129_129) & ~ (all_0_128_128 = all_0_131_131) & ~ (all_0_128_128 = all_0_134_134) & ~ (all_0_128_128 = all_0_137_137) & ~ (all_0_129_129 = all_0_138_138) & ~ (all_0_129_129 = e23) & ~ (all_0_129_129 = e21) & ~ (all_0_130_130 = all_0_131_131) & ~ (all_0_130_130 = all_0_132_132) & ~ (all_0_130_130 = all_0_135_135) & ~ (all_0_130_130 = e21) & ~ (all_0_130_130 = e20) & ~ (all_0_131_131 = all_0_134_134) & ~ (all_0_131_131 = all_0_137_137) & ~ (all_0_131_131 = e21) & ~ (all_0_131_131 = e20) & ~ (all_0_132_132 = all_0_133_133) & ~ (all_0_132_132 = all_0_134_134) & ~ (all_0_132_132 = all_0_135_135) & ~ (all_0_132_132 = e23) & ~ (all_0_133_133 = all_0_134_134) & ~ (all_0_133_133 = all_0_136_136) & ~ (all_0_133_133 = e23) & ~ (all_0_133_133 = e20) & ~ (all_0_134_134 = all_0_137_137) & ~ (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_136_136 = all_0_137_137) & ~ (all_0_136_136 = all_0_138_138) & ~ (all_0_136_136 = e20) & ~ (all_0_137_137 = all_0_138_138) & ~ (all_0_138_138 = e23) & ~ (all_0_138_138 = e21) & ~ (all_0_139_139 = all_0_140_140) & ~ (all_0_139_139 = all_0_141_141) & ~ (all_0_139_139 = all_0_142_142) & ~ (all_0_139_139 = all_0_143_143) & ~ (all_0_139_139 = all_0_145_145) & ~ (all_0_139_139 = all_0_148_148) & ~ (all_0_140_140 = all_0_141_141) & ~ (all_0_140_140 = all_0_142_142) & ~ (all_0_140_140 = all_0_146_146) & ~ (all_0_140_140 = all_0_149_149) & ~ (all_0_140_140 = e10) & ~ (all_0_141_141 = all_0_142_142) & ~ (all_0_141_141 = all_0_144_144) & ~ (all_0_141_141 = all_0_147_147) & ~ (all_0_141_141 = all_0_150_150) & ~ (all_0_142_142 = all_0_151_151) & ~ (all_0_142_142 = e13) & ~ (all_0_142_142 = e11) & ~ (all_0_143_143 = all_0_144_144) & ~ (all_0_143_143 = all_0_145_145) & ~ (all_0_143_143 = all_0_148_148) & ~ (all_0_143_143 = e11) & ~ (all_0_143_143 = e10) & ~ (all_0_144_144 = all_0_147_147) & ~ (all_0_144_144 = all_0_150_150) & ~ (all_0_144_144 = e11) & ~ (all_0_144_144 = e10) & ~ (all_0_145_145 = all_0_146_146) & ~ (all_0_145_145 = all_0_147_147) & ~ (all_0_145_145 = all_0_148_148) & ~ (all_0_145_145 = e13) & ~ (all_0_146_146 = all_0_147_147) & ~ (all_0_146_146 = all_0_149_149) & ~ (all_0_146_146 = e13) & ~ (all_0_146_146 = e10) & ~ (all_0_147_147 = all_0_150_150) & ~ (all_0_147_147 = e13) & ~ (all_0_148_148 = all_0_149_149) & ~ (all_0_148_148 = all_0_150_150) & ~ (all_0_148_148 = all_0_151_151) & ~ (all_0_149_149 = all_0_150_150) & ~ (all_0_149_149 = all_0_151_151) & ~ (all_0_149_149 = e10) & ~ (all_0_150_150 = all_0_151_151) & ~ (all_0_151_151 = e13) & ~ (all_0_151_151 = e11) & ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e23 = e13) & ~ (e23 = e12) & ~ (e23 = e11) & ~ (e23 = e10) & ~ (e22 = e21) & ~ (e22 = e20) & ~ (e22 = e13) & ~ (e22 = e12) & ~ (e22 = e11) & ~ (e22 = e10) & ~ (e21 = e20) & ~ (e21 = e13) & ~ (e21 = e12) & ~ (e21 = e11) & ~ (e21 = e10) & ~ (e20 = e13) & ~ (e20 = e12) & ~ (e20 = e11) & ~ (e20 = e10) & ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = e10) & ~ (e11 = e10) & op1(e13, all_0_139_139) = all_0_113_113 & op1(e13, all_0_143_143) = all_0_117_117 & op1(e13, all_0_145_145) = all_0_119_119 & op1(e13, all_0_148_148) = all_0_122_122 & op1(e13, e13) = all_0_139_139 & op1(e13, e12) = all_0_140_140 & op1(e13, e11) = all_0_141_141 & op1(e13, e10) = all_0_142_142 & op1(e12, all_0_140_140) = all_0_114_114 & op1(e12, all_0_146_146) = all_0_120_120 & op1(e12, all_0_149_149) = all_0_123_123 & op1(e12, e13) = all_0_143_143 & op1(e12, e12) = e10 & op1(e12, e11) = all_0_144_144 & op1(e12, e10) = e11 & op1(e11, all_0_141_141) = all_0_115_115 & op1(e11, all_0_144_144) = all_0_118_118 & op1(e11, all_0_147_147) = all_0_121_121 & op1(e11, all_0_150_150) = all_0_124_124 & op1(e11, e13) = all_0_145_145 & op1(e11, e12) = all_0_146_146 & op1(e11, e11) = all_0_147_147 & op1(e11, e10) = e13 & op1(e10, all_0_142_142) = all_0_116_116 & op1(e10, all_0_151_151) = all_0_125_125 & op1(e10, e13) = all_0_148_148 & op1(e10, e12) = all_0_149_149 & op1(e10, e11) = all_0_150_150 & op1(e10, e10) = all_0_151_151 & h1(all_0_139_139) = all_0_70_70 & h1(all_0_140_140) = all_0_72_72 & h1(all_0_141_141) = all_0_74_74 & h1(all_0_142_142) = all_0_76_76 & h1(all_0_143_143) = all_0_78_78 & h1(all_0_144_144) = all_0_80_80 & h1(all_0_145_145) = all_0_83_83 & h1(all_0_146_146) = all_0_85_85 & h1(all_0_147_147) = all_0_87_87 & h1(all_0_148_148) = all_0_90_90 & h1(all_0_149_149) = all_0_92_92 & h1(all_0_150_150) = all_0_94_94 & h1(all_0_151_151) = all_0_96_96 & h1(e13) = all_0_99_99 & h1(e12) = e20 & h1(e11) = all_0_112_112 & h1(e10) = all_0_138_138 & h2(all_0_139_139) = all_0_42_42 & h2(all_0_140_140) = all_0_44_44 & h2(all_0_141_141) = all_0_46_46 & h2(all_0_142_142) = all_0_48_48 & h2(all_0_143_143) = all_0_50_50 & h2(all_0_144_144) = all_0_52_52 & h2(all_0_145_145) = all_0_55_55 & h2(all_0_146_146) = all_0_57_57 & h2(all_0_147_147) = all_0_59_59 & h2(all_0_148_148) = all_0_62_62 & h2(all_0_149_149) = all_0_64_64 & h2(all_0_150_150) = all_0_66_66 & h2(all_0_151_151) = all_0_68_68 & h2(e13) = all_0_98_98 & h2(e12) = e21 & h2(e11) = all_0_108_108 & h2(e10) = all_0_134_134 & h3(all_0_139_139) = all_0_28_28 & h3(all_0_140_140) = all_0_29_29 & h3(all_0_141_141) = all_0_30_30 & h3(all_0_142_142) = all_0_31_31 & h3(all_0_143_143) = all_0_32_32 & h3(all_0_144_144) = all_0_33_33 & h3(all_0_145_145) = all_0_34_34 & h3(all_0_146_146) = all_0_35_35 & h3(all_0_147_147) = all_0_36_36 & h3(all_0_148_148) = all_0_37_37 & h3(all_0_149_149) = all_0_38_38 & h3(all_0_150_150) = all_0_39_39 & h3(all_0_151_151) = all_0_40_40 & h3(e13) = e23 & h3(e12) = e22 & h3(e11) = e21 & h3(e10) = e20 & h4(all_0_139_139) = all_0_1_1 & h4(all_0_140_140) = all_0_3_3 & h4(all_0_141_141) = all_0_5_5 & h4(all_0_142_142) = all_0_7_7 & h4(all_0_143_143) = all_0_9_9 & h4(all_0_144_144) = all_0_11_11 & h4(all_0_145_145) = all_0_14_14 & h4(all_0_146_146) = all_0_16_16 & h4(all_0_147_147) = all_0_18_18 & h4(all_0_148_148) = all_0_21_21 & h4(all_0_149_149) = all_0_23_23 & h4(all_0_150_150) = all_0_25_25 & h4(all_0_151_151) = all_0_27_27 & h4(e13) = all_0_97_97 & h4(e12) = e23 & h4(e11) = all_0_100_100 & h4(e10) = all_0_126_126 & op2(all_0_97_97, all_0_97_97) = all_0_0_0 & op2(all_0_97_97, all_0_100_100) = all_0_4_4 & op2(all_0_97_97, all_0_126_126) = all_0_6_6 & op2(all_0_97_97, e23) = all_0_2_2 & op2(all_0_98_98, all_0_98_98) = all_0_41_41 & op2(all_0_98_98, all_0_108_108) = all_0_45_45 & op2(all_0_98_98, all_0_134_134) = all_0_47_47 & op2(all_0_98_98, e21) = all_0_43_43 & op2(all_0_99_99, all_0_99_99) = all_0_69_69 & op2(all_0_99_99, all_0_112_112) = all_0_73_73 & op2(all_0_99_99, all_0_138_138) = all_0_75_75 & op2(all_0_99_99, e20) = all_0_71_71 & op2(all_0_100_100, all_0_97_97) = all_0_13_13 & op2(all_0_100_100, all_0_100_100) = all_0_17_17 & op2(all_0_100_100, all_0_126_126) = all_0_19_19 & op2(all_0_100_100, all_0_126_126) = all_0_97_97 & op2(all_0_100_100, e23) = all_0_15_15 & op2(all_0_108_108, all_0_98_98) = all_0_54_54 & op2(all_0_108_108, all_0_108_108) = all_0_58_58 & op2(all_0_108_108, all_0_134_134) = all_0_60_60 & op2(all_0_108_108, all_0_134_134) = all_0_98_98 & op2(all_0_108_108, e21) = all_0_56_56 & op2(all_0_112_112, all_0_99_99) = all_0_82_82 & op2(all_0_112_112, all_0_112_112) = all_0_86_86 & op2(all_0_112_112, all_0_138_138) = all_0_88_88 & op2(all_0_112_112, all_0_138_138) = all_0_99_99 & op2(all_0_112_112, e20) = all_0_84_84 & op2(all_0_126_126, all_0_97_97) = all_0_20_20 & op2(all_0_126_126, all_0_100_100) = all_0_24_24 & op2(all_0_126_126, all_0_126_126) = all_0_26_26 & op2(all_0_126_126, e23) = all_0_22_22 & op2(all_0_134_134, all_0_98_98) = all_0_61_61 & op2(all_0_134_134, all_0_108_108) = all_0_65_65 & op2(all_0_134_134, all_0_134_134) = all_0_67_67 & op2(all_0_134_134, e21) = all_0_63_63 & op2(all_0_138_138, all_0_99_99) = all_0_89_89 & op2(all_0_138_138, all_0_112_112) = all_0_93_93 & op2(all_0_138_138, all_0_138_138) = all_0_95_95 & op2(all_0_138_138, e20) = all_0_91_91 & op2(e23, all_0_97_97) = all_0_8_8 & op2(e23, all_0_100_100) = all_0_10_10 & op2(e23, all_0_126_126) = all_0_12_12 & op2(e23, all_0_126_126) = all_0_100_100 & op2(e23, all_0_130_130) = all_0_104_104 & op2(e23, all_0_132_132) = all_0_106_106 & op2(e23, all_0_135_135) = all_0_109_109 & op2(e23, e23) = all_0_126_126 & op2(e23, e22) = all_0_127_127 & op2(e23, e21) = all_0_128_128 & op2(e23, e20) = all_0_129_129 & op2(e22, all_0_127_127) = all_0_101_101 & op2(e22, all_0_133_133) = all_0_107_107 & op2(e22, all_0_136_136) = all_0_110_110 & op2(e22, e23) = all_0_130_130 & op2(e22, e22) = e20 & op2(e22, e21) = all_0_131_131 & op2(e22, e20) = e21 & op2(e21, all_0_98_98) = all_0_49_49 & op2(e21, all_0_108_108) = all_0_51_51 & op2(e21, all_0_128_128) = all_0_102_102 & op2(e21, all_0_131_131) = all_0_105_105 & op2(e21, all_0_134_134) = all_0_53_53 & op2(e21, all_0_134_134) = all_0_108_108 & op2(e21, all_0_137_137) = all_0_111_111 & op2(e21, e23) = all_0_132_132 & op2(e21, e22) = all_0_133_133 & op2(e21, e21) = all_0_134_134 & op2(e21, e20) = e23 & op2(e20, all_0_99_99) = all_0_77_77 & op2(e20, all_0_112_112) = all_0_79_79 & op2(e20, all_0_129_129) = all_0_103_103 & op2(e20, all_0_138_138) = all_0_81_81 & op2(e20, all_0_138_138) = all_0_112_112 & op2(e20, e23) = all_0_135_135 & op2(e20, e22) = all_0_136_136 & op2(e20, e21) = all_0_137_137 & op2(e20, e20) = all_0_138_138 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0)) & ( ~ (all_0_0_0 = all_0_1_1) | ~ (all_0_2_2 = all_0_3_3) | ~ (all_0_4_4 = all_0_5_5) | ~ (all_0_6_6 = all_0_7_7) | ~ (all_0_8_8 = all_0_9_9) | ~ (all_0_10_10 = all_0_11_11) | ~ (all_0_12_12 = all_0_100_100) | ~ (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_97_97) | ~ (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_97_97 = e22) & ~ (all_0_100_100 = e22) & ~ (all_0_126_126 = e22)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_100_100 = e21) & ~ (all_0_126_126 = e21)) | ( ~ (all_0_97_97 = e20) & ~ (all_0_100_100 = e20) & ~ (all_0_126_126 = e20))) & ( ~ (all_0_28_28 = all_0_126_126) | ~ (all_0_29_29 = all_0_127_127) | ~ (all_0_30_30 = all_0_128_128) | ~ (all_0_31_31 = all_0_129_129) | ~ (all_0_32_32 = all_0_130_130) | ~ (all_0_33_33 = all_0_131_131) | ~ (all_0_34_34 = all_0_132_132) | ~ (all_0_35_35 = all_0_133_133) | ~ (all_0_36_36 = all_0_134_134) | ~ (all_0_37_37 = all_0_135_135) | ~ (all_0_38_38 = all_0_136_136) | ~ (all_0_39_39 = all_0_137_137) | ~ (all_0_40_40 = all_0_138_138)) & ( ~ (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_108_108) | ~ (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_98_98) | ~ (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_98_98 = e23) & ~ (all_0_108_108 = e23)) | ( ~ (all_0_98_98 = e22) & ~ (all_0_108_108 = e22) & ~ (all_0_134_134 = e22)) | ( ~ (all_0_98_98 = e20) & ~ (all_0_108_108 = e20) & ~ (all_0_134_134 = 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_112_112) | ~ (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_99_99) | ~ (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_99_99 = e23) & ~ (all_0_112_112 = e23)) | ( ~ (all_0_99_99 = e22) & ~ (all_0_112_112 = e22) & ~ (all_0_138_138 = e22)) | ( ~ (all_0_99_99 = e21) & ~ (all_0_112_112 = e21))) & (all_0_126_126 = e23 | all_0_126_126 = e22 | all_0_126_126 = e21 | all_0_126_126 = e20) & (all_0_126_126 = e23 | all_0_127_127 = e23 | all_0_128_128 = e23) & (all_0_126_126 = e23 | all_0_130_130 = e23 | all_0_135_135 = e23) & (all_0_126_126 = e22 | all_0_127_127 = e22 | all_0_128_128 = e22 | all_0_129_129 = e22) & (all_0_126_126 = e22 | all_0_130_130 = e22 | all_0_132_132 = e22 | all_0_135_135 = e22) & (all_0_126_126 = e21 | all_0_127_127 = e21 | all_0_128_128 = e21) & (all_0_126_126 = e21 | all_0_132_132 = e21 | all_0_135_135 = e21) & (all_0_126_126 = e20 | all_0_128_128 = e20 | all_0_129_129 = e20) & (all_0_126_126 = e20 | all_0_132_132 = e20 | all_0_135_135 = e20) & (all_0_127_127 = e23 | all_0_127_127 = e22 | all_0_127_127 = e21) & (all_0_127_127 = e23 | all_0_136_136 = e23) & (all_0_127_127 = e22 | all_0_133_133 = e22 | all_0_136_136 = e22) & (all_0_127_127 = e21 | all_0_133_133 = e21 | all_0_136_136 = e21) & (all_0_128_128 = e23 | all_0_128_128 = e22 | all_0_128_128 = e21 | all_0_128_128 = e20) & (all_0_128_128 = e23 | all_0_131_131 = e23 | all_0_137_137 = e23) & (all_0_128_128 = e22 | all_0_131_131 = e22 | all_0_134_134 = e22 | all_0_137_137 = e22) & (all_0_128_128 = e21 | all_0_134_134 = e21 | all_0_137_137 = e21) & (all_0_128_128 = e20 | all_0_134_134 = e20 | all_0_137_137 = e20) & (all_0_129_129 = e22 | all_0_129_129 = e20) & (all_0_129_129 = e22 | all_0_138_138 = e22) & (all_0_129_129 = e20 | all_0_138_138 = e20) & (all_0_130_130 = e23 | all_0_130_130 = e22) & (all_0_130_130 = e23 | all_0_131_131 = e23) & (all_0_130_130 = e22 | all_0_131_131 = e22) & (all_0_131_131 = e23 | all_0_131_131 = e22) & (all_0_132_132 = e22 | all_0_132_132 = e21 | all_0_132_132 = e20) & (all_0_132_132 = e22 | all_0_133_133 = e22 | all_0_134_134 = e22) & (all_0_132_132 = e21 | all_0_133_133 = e21 | all_0_134_134 = e21) & (all_0_132_132 = e20 | all_0_134_134 = e20) & (all_0_133_133 = e22 | all_0_133_133 = e21) & (all_0_134_134 = e22 | all_0_134_134 = e21 | all_0_134_134 = e20) & (all_0_135_135 = e23 | all_0_135_135 = e22 | all_0_135_135 = e21 | all_0_135_135 = e20) & (all_0_135_135 = e23 | all_0_136_136 = e23 | all_0_137_137 = e23) & (all_0_135_135 = e22 | all_0_136_136 = e22 | all_0_137_137 = e22 | all_0_138_138 = e22) & (all_0_135_135 = e21 | all_0_136_136 = e21 | all_0_137_137 = e21) & (all_0_135_135 = e20 | all_0_137_137 = e20 | all_0_138_138 = e20) & (all_0_136_136 = e23 | all_0_136_136 = e22 | all_0_136_136 = e21) & (all_0_137_137 = e23 | all_0_137_137 = e22 | all_0_137_137 = e21 | all_0_137_137 = e20) & (all_0_138_138 = e22 | all_0_138_138 = e20) & (all_0_139_139 = e13 | all_0_139_139 = e12 | all_0_139_139 = e11 | all_0_139_139 = e10) & (all_0_139_139 = e13 | all_0_140_140 = e13 | all_0_141_141 = e13) & (all_0_139_139 = e13 | all_0_143_143 = e13 | all_0_148_148 = e13) & (all_0_139_139 = e12 | all_0_140_140 = e12 | all_0_141_141 = e12 | all_0_142_142 = e12) & (all_0_139_139 = e12 | all_0_143_143 = e12 | all_0_145_145 = e12 | all_0_148_148 = e12) & (all_0_139_139 = e11 | all_0_140_140 = e11 | all_0_141_141 = e11) & (all_0_139_139 = e11 | all_0_145_145 = e11 | all_0_148_148 = e11) & (all_0_139_139 = e10 | all_0_141_141 = e10 | all_0_142_142 = e10) & (all_0_139_139 = e10 | all_0_145_145 = e10 | all_0_148_148 = e10) & (all_0_140_140 = e13 | all_0_140_140 = e12 | all_0_140_140 = e11) & (all_0_140_140 = e13 | all_0_149_149 = e13) & (all_0_140_140 = e12 | all_0_146_146 = e12 | all_0_149_149 = e12) & (all_0_140_140 = e11 | all_0_146_146 = e11 | all_0_149_149 = e11) & (all_0_141_141 = e13 | all_0_141_141 = e12 | all_0_141_141 = e11 | all_0_141_141 = e10) & (all_0_141_141 = e13 | all_0_144_144 = e13 | all_0_150_150 = e13) & (all_0_141_141 = e12 | all_0_144_144 = e12 | all_0_147_147 = e12 | all_0_150_150 = e12) & (all_0_141_141 = e11 | all_0_147_147 = e11 | all_0_150_150 = e11) & (all_0_141_141 = e10 | all_0_147_147 = e10 | all_0_150_150 = e10) & (all_0_142_142 = e12 | all_0_142_142 = e10) & (all_0_142_142 = e12 | all_0_151_151 = e12) & (all_0_142_142 = e10 | all_0_151_151 = e10) & (all_0_143_143 = e13 | all_0_143_143 = e12) & (all_0_143_143 = e13 | all_0_144_144 = e13) & (all_0_143_143 = e12 | all_0_144_144 = e12) & (all_0_144_144 = e13 | all_0_144_144 = e12) & (all_0_145_145 = e12 | all_0_145_145 = e11 | all_0_145_145 = e10) & (all_0_145_145 = e12 | all_0_146_146 = e12 | all_0_147_147 = e12) & (all_0_145_145 = e11 | all_0_146_146 = e11 | all_0_147_147 = e11) & (all_0_145_145 = e10 | all_0_147_147 = e10) & (all_0_146_146 = e12 | all_0_146_146 = e11) & (all_0_147_147 = e12 | all_0_147_147 = e11 | all_0_147_147 = e10) & (all_0_148_148 = e13 | all_0_148_148 = e12 | all_0_148_148 = e11 | all_0_148_148 = e10) & (all_0_148_148 = e13 | all_0_149_149 = e13 | all_0_150_150 = e13) & (all_0_148_148 = e12 | all_0_149_149 = e12 | all_0_150_150 = e12 | all_0_151_151 = e12) & (all_0_148_148 = e11 | all_0_149_149 = e11 | all_0_150_150 = e11) & (all_0_148_148 = e10 | all_0_150_150 = e10 | all_0_151_151 = e10) & (all_0_149_149 = e13 | all_0_149_149 = e12 | all_0_149_149 = e11) & (all_0_150_150 = e13 | all_0_150_150 = e12 | all_0_150_150 = e11 | all_0_150_150 = e10) & (all_0_151_151 = e12 | all_0_151_151 = e10) & ((all_0_100_100 = e23 & all_0_101_101 = e22 & all_0_102_102 = e21 & all_0_103_103 = e20) | (all_0_106_106 = e23 & all_0_107_107 = e22 & all_0_108_108 = e21 & all_0_135_135 = e20) | (all_0_109_109 = e23 & all_0_110_110 = e22 & all_0_111_111 = e21 & all_0_112_112 = e20)) & ((all_0_113_113 = e13 & all_0_114_114 = e12 & all_0_115_115 = e11 & all_0_116_116 = e10) | (all_0_119_119 = e13 & all_0_120_120 = e12 & all_0_121_121 = e11 & all_0_148_148 = e10) | (all_0_122_122 = e13 & all_0_123_123 = e12 & all_0_124_124 = e11 & all_0_125_125 = e10)) % 11.71/3.18 | % 11.71/3.18 | Applying alpha-rule on (1) yields: % 11.71/3.18 | (2) op2(e23, e22) = all_0_127_127 % 11.71/3.18 | (3) ~ (all_0_144_144 = all_0_147_147) % 11.71/3.18 | (4) h1(e13) = all_0_99_99 % 11.71/3.18 | (5) op2(all_0_112_112, all_0_138_138) = all_0_88_88 % 11.71/3.19 | (6) ~ (all_0_130_130 = e20) % 11.71/3.19 | (7) ~ (all_0_149_149 = all_0_150_150) % 11.71/3.19 | (8) h3(e10) = e20 % 11.71/3.19 | (9) h3(all_0_148_148) = all_0_37_37 % 11.71/3.19 | (10) ~ (all_0_126_126 = all_0_127_127) % 11.71/3.19 | (11) op2(all_0_126_126, e23) = all_0_22_22 % 11.71/3.19 | (12) op2(e20, e23) = all_0_135_135 % 11.71/3.19 | (13) h2(all_0_148_148) = all_0_62_62 % 11.71/3.19 | (14) all_0_127_127 = e21 | all_0_133_133 = e21 | all_0_136_136 = e21 % 11.71/3.19 | (15) all_0_132_132 = e20 | all_0_134_134 = e20 % 11.71/3.19 | (16) all_0_134_134 = e22 | all_0_134_134 = e21 | all_0_134_134 = e20 % 11.71/3.19 | (17) all_0_141_141 = e11 | all_0_147_147 = e11 | all_0_150_150 = e11 % 11.71/3.19 | (18) h3(all_0_146_146) = all_0_35_35 % 11.71/3.19 | (19) op2(e21, all_0_134_134) = all_0_53_53 % 11.71/3.19 | (20) ~ (all_0_133_133 = all_0_134_134) % 11.71/3.19 | (21) op2(all_0_100_100, all_0_100_100) = all_0_17_17 % 11.71/3.19 | (22) ~ (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_108_108) | ~ (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_98_98) | ~ (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_98_98 = e23) & ~ (all_0_108_108 = e23)) | ( ~ (all_0_98_98 = e22) & ~ (all_0_108_108 = e22) & ~ (all_0_134_134 = e22)) | ( ~ (all_0_98_98 = e20) & ~ (all_0_108_108 = e20) & ~ (all_0_134_134 = e20)) % 11.71/3.19 | (23) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0)) % 11.71/3.19 | (24) all_0_128_128 = e20 | all_0_134_134 = e20 | all_0_137_137 = e20 % 11.71/3.19 | (25) op2(all_0_108_108, all_0_98_98) = all_0_54_54 % 11.71/3.19 | (26) ~ (all_0_143_143 = e10) % 11.71/3.19 | (27) op1(e12, e10) = e11 % 11.71/3.19 | (28) h2(all_0_139_139) = all_0_42_42 % 11.71/3.19 | (29) ~ (all_0_128_128 = all_0_129_129) % 11.71/3.19 | (30) h4(all_0_140_140) = all_0_3_3 % 11.71/3.19 | (31) op1(e13, all_0_139_139) = all_0_113_113 % 11.71/3.19 | (32) all_0_129_129 = e20 | all_0_138_138 = e20 % 11.71/3.19 | (33) ~ (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_100_100) | ~ (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_97_97) | ~ (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_97_97 = e22) & ~ (all_0_100_100 = e22) & ~ (all_0_126_126 = e22)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_100_100 = e21) & ~ (all_0_126_126 = e21)) | ( ~ (all_0_97_97 = e20) & ~ (all_0_100_100 = e20) & ~ (all_0_126_126 = e20)) % 11.71/3.19 | (34) h3(all_0_139_139) = all_0_28_28 % 11.71/3.19 | (35) ~ (e23 = e22) % 11.71/3.19 | (36) ~ (all_0_142_142 = e11) % 11.71/3.19 | (37) op2(all_0_112_112, e20) = all_0_84_84 % 11.71/3.19 | (38) all_0_143_143 = e12 | all_0_144_144 = e12 % 11.71/3.19 | (39) all_0_132_132 = e22 | all_0_133_133 = e22 | all_0_134_134 = e22 % 11.71/3.19 | (40) h1(e12) = e20 % 11.71/3.19 | (41) ~ (e21 = e10) % 11.71/3.19 | (42) all_0_148_148 = e12 | all_0_149_149 = e12 | all_0_150_150 = e12 | all_0_151_151 = e12 % 11.71/3.19 | (43) h4(all_0_147_147) = all_0_18_18 % 11.71/3.19 | (44) ~ (all_0_141_141 = all_0_147_147) % 11.71/3.19 | (45) all_0_141_141 = e13 | all_0_141_141 = e12 | all_0_141_141 = e11 | all_0_141_141 = e10 % 11.71/3.19 | (46) all_0_135_135 = e22 | all_0_136_136 = e22 | all_0_137_137 = e22 | all_0_138_138 = e22 % 11.71/3.19 | (47) op2(e23, all_0_100_100) = all_0_10_10 % 11.71/3.19 | (48) all_0_146_146 = e12 | all_0_146_146 = e11 % 11.71/3.19 | (49) ~ (all_0_151_151 = e13) % 11.71/3.19 | (50) ~ (e22 = e11) % 11.71/3.19 | (51) op2(all_0_100_100, e23) = all_0_15_15 % 11.71/3.19 | (52) op2(all_0_99_99, e20) = all_0_71_71 % 11.71/3.19 | (53) op1(e11, e11) = all_0_147_147 % 11.71/3.19 | (54) all_0_133_133 = e22 | all_0_133_133 = e21 % 11.71/3.19 | (55) all_0_126_126 = e23 | all_0_126_126 = e22 | all_0_126_126 = e21 | all_0_126_126 = e20 % 11.71/3.19 | (56) op2(e23, all_0_126_126) = all_0_100_100 % 11.71/3.19 | (57) all_0_142_142 = e10 | all_0_151_151 = e10 % 11.71/3.19 | (58) op1(e11, all_0_150_150) = all_0_124_124 % 11.71/3.19 | (59) ~ (all_0_131_131 = all_0_137_137) % 11.71/3.19 | (60) ~ (all_0_131_131 = e21) % 11.71/3.19 | (61) op2(e21, e21) = all_0_134_134 % 11.71/3.19 | (62) ~ (all_0_128_128 = all_0_134_134) % 11.71/3.19 | (63) ~ (all_0_139_139 = all_0_143_143) % 11.71/3.19 | (64) all_0_148_148 = e11 | all_0_149_149 = e11 | all_0_150_150 = e11 % 11.71/3.19 | (65) all_0_130_130 = e23 | all_0_130_130 = e22 % 11.71/3.19 | (66) h2(all_0_142_142) = all_0_48_48 % 11.71/3.19 | (67) h3(all_0_143_143) = all_0_32_32 % 11.71/3.19 | (68) h3(e12) = e22 % 11.71/3.19 | (69) h2(all_0_147_147) = all_0_59_59 % 11.71/3.19 | (70) ~ (all_0_148_148 = all_0_151_151) % 11.71/3.19 | (71) op1(e13, e13) = all_0_139_139 % 11.71/3.19 | (72) ~ (all_0_143_143 = all_0_144_144) % 11.71/3.19 | (73) h2(all_0_150_150) = all_0_66_66 % 11.71/3.19 | (74) all_0_126_126 = e21 | all_0_132_132 = e21 | all_0_135_135 = e21 % 11.71/3.19 | (75) h4(all_0_142_142) = all_0_7_7 % 11.71/3.19 | (76) op2(all_0_100_100, all_0_126_126) = all_0_97_97 % 11.71/3.19 | (77) ~ (all_0_138_138 = e21) % 11.71/3.19 | (78) ~ (all_0_133_133 = e20) % 11.71/3.20 | (79) ~ (all_0_146_146 = e10) % 11.71/3.20 | (80) h4(all_0_148_148) = all_0_21_21 % 11.71/3.20 | (81) all_0_148_148 = e10 | all_0_150_150 = e10 | all_0_151_151 = e10 % 11.71/3.20 | (82) all_0_128_128 = e22 | all_0_131_131 = e22 | all_0_134_134 = e22 | all_0_137_137 = e22 % 11.71/3.20 | (83) op2(e23, all_0_135_135) = all_0_109_109 % 11.71/3.20 | (84) op2(all_0_98_98, e21) = all_0_43_43 % 11.71/3.20 | (85) op2(all_0_112_112, all_0_99_99) = all_0_82_82 % 11.71/3.20 | (86) op2(all_0_138_138, all_0_138_138) = all_0_95_95 % 11.71/3.20 | (87) ~ (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_112_112) | ~ (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_99_99) | ~ (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_99_99 = e23) & ~ (all_0_112_112 = e23)) | ( ~ (all_0_99_99 = e22) & ~ (all_0_112_112 = e22) & ~ (all_0_138_138 = e22)) | ( ~ (all_0_99_99 = e21) & ~ (all_0_112_112 = e21)) % 11.71/3.20 | (88) op2(e22, e22) = e20 % 11.71/3.20 | (89) ~ (all_0_145_145 = e13) % 11.71/3.20 | (90) op2(e22, all_0_136_136) = all_0_110_110 % 11.71/3.20 | (91) all_0_147_147 = e12 | all_0_147_147 = e11 | all_0_147_147 = e10 % 11.71/3.20 | (92) op2(e20, all_0_129_129) = all_0_103_103 % 11.71/3.20 | (93) op1(e12, all_0_146_146) = all_0_120_120 % 11.71/3.20 | (94) all_0_139_139 = e10 | all_0_141_141 = e10 | all_0_142_142 = e10 % 11.71/3.20 | (95) all_0_139_139 = e12 | all_0_140_140 = e12 | all_0_141_141 = e12 | all_0_142_142 = e12 % 11.71/3.20 | (96) ~ (all_0_133_133 = e23) % 11.71/3.20 | (97) ~ (all_0_142_142 = all_0_151_151) % 11.71/3.20 | (98) ~ (all_0_131_131 = e20) % 11.71/3.20 | (99) op1(e12, all_0_140_140) = all_0_114_114 % 11.71/3.20 | (100) ~ (all_0_147_147 = e13) % 11.71/3.20 | (101) op1(e10, all_0_151_151) = all_0_125_125 % 11.71/3.20 | (102) ~ (e23 = e13) % 11.71/3.20 | (103) all_0_148_148 = e13 | all_0_148_148 = e12 | all_0_148_148 = e11 | all_0_148_148 = e10 % 11.71/3.20 | (104) ~ (all_0_135_135 = all_0_138_138) % 11.71/3.20 | (105) h4(all_0_143_143) = all_0_9_9 % 11.71/3.20 | (106) op2(all_0_108_108, all_0_134_134) = all_0_98_98 % 11.71/3.20 | (107) ~ (all_0_130_130 = all_0_132_132) % 11.71/3.20 | (108) h4(all_0_141_141) = all_0_5_5 % 11.71/3.20 | (109) all_0_139_139 = e11 | all_0_140_140 = e11 | all_0_141_141 = e11 % 11.71/3.20 | (110) all_0_144_144 = e13 | all_0_144_144 = e12 % 11.71/3.20 | (111) op1(e11, all_0_144_144) = all_0_118_118 % 11.71/3.20 | (112) op1(e11, e10) = e13 % 11.71/3.20 | (113) ~ (e22 = e20) % 11.71/3.20 | (114) ~ (all_0_140_140 = all_0_142_142) % 11.71/3.20 | (115) op2(e20, all_0_112_112) = all_0_79_79 % 11.71/3.20 | (116) op2(e21, e22) = all_0_133_133 % 11.71/3.20 | (117) h4(all_0_150_150) = all_0_25_25 % 11.71/3.20 | (118) op2(e21, e23) = all_0_132_132 % 11.71/3.20 | (119) op2(e21, all_0_134_134) = all_0_108_108 % 11.71/3.20 | (120) all_0_141_141 = e13 | all_0_144_144 = e13 | all_0_150_150 = e13 % 11.71/3.20 | (121) op1(e10, e12) = all_0_149_149 % 11.71/3.20 | (122) all_0_140_140 = e12 | all_0_146_146 = e12 | all_0_149_149 = e12 % 11.71/3.20 | (123) ~ (all_0_127_127 = all_0_133_133) % 11.71/3.20 | (124) all_0_135_135 = e23 | all_0_136_136 = e23 | all_0_137_137 = e23 % 11.71/3.20 | (125) op2(all_0_97_97, all_0_126_126) = all_0_6_6 % 11.71/3.20 | (126) ~ (all_0_148_148 = all_0_149_149) % 11.71/3.20 | (127) op2(all_0_112_112, all_0_138_138) = all_0_99_99 % 11.71/3.20 | (128) ~ (all_0_141_141 = all_0_150_150) % 11.71/3.20 | (129) ~ (all_0_126_126 = all_0_130_130) % 11.71/3.20 | (130) ~ (all_0_140_140 = e10) % 11.71/3.20 | (131) h3(all_0_142_142) = all_0_31_31 % 11.71/3.20 | (132) op1(e13, all_0_143_143) = all_0_117_117 % 11.71/3.20 | (133) all_0_132_132 = e21 | all_0_133_133 = e21 | all_0_134_134 = e21 % 11.71/3.20 | (134) all_0_139_139 = e13 | all_0_140_140 = e13 | all_0_141_141 = e13 % 11.71/3.20 | (135) all_0_129_129 = e22 | all_0_138_138 = e22 % 11.71/3.20 | (136) ~ (all_0_149_149 = all_0_151_151) % 11.71/3.20 | (137) op2(all_0_97_97, all_0_97_97) = all_0_0_0 % 11.71/3.20 | (138) op2(all_0_100_100, all_0_126_126) = all_0_19_19 % 11.71/3.20 | (139) ~ (all_0_140_140 = all_0_146_146) % 11.71/3.20 | (140) ~ (all_0_143_143 = all_0_145_145) % 11.71/3.20 | (141) ~ (all_0_149_149 = e10) % 11.71/3.21 | (142) ~ (all_0_139_139 = all_0_140_140) % 11.71/3.21 | (143) op2(e21, all_0_131_131) = all_0_105_105 % 11.71/3.21 | (144) op1(e12, e11) = all_0_144_144 % 11.71/3.21 | (145) all_0_140_140 = e13 | all_0_140_140 = e12 | all_0_140_140 = e11 % 11.71/3.21 | (146) op1(e13, e12) = all_0_140_140 % 11.71/3.21 | (147) all_0_126_126 = e21 | all_0_127_127 = e21 | all_0_128_128 = e21 % 11.71/3.21 | (148) all_0_126_126 = e23 | all_0_127_127 = e23 | all_0_128_128 = e23 % 11.71/3.21 | (149) ~ (e21 = e11) % 11.71/3.21 | (150) op2(e21, all_0_137_137) = all_0_111_111 % 11.71/3.21 | (151) all_0_145_145 = e11 | all_0_146_146 = e11 | all_0_147_147 = e11 % 11.71/3.21 | (152) h4(all_0_144_144) = all_0_11_11 % 11.71/3.21 | (153) ~ (e12 = e10) % 11.71/3.21 | (154) op2(all_0_134_134, all_0_108_108) = all_0_65_65 % 11.71/3.21 | (155) op2(e23, e20) = all_0_129_129 % 11.71/3.21 | (156) h2(all_0_146_146) = all_0_57_57 % 11.71/3.21 | (157) ~ (all_0_134_134 = e23) % 11.71/3.21 | (158) ~ (all_0_129_129 = e23) % 11.71/3.21 | (159) ~ (e20 = e10) % 11.71/3.21 | (160) op1(e12, all_0_149_149) = all_0_123_123 % 11.71/3.21 | (161) all_0_135_135 = e23 | all_0_135_135 = e22 | all_0_135_135 = e21 | all_0_135_135 = e20 % 11.71/3.21 | (162) op1(e11, e12) = all_0_146_146 % 11.71/3.21 | (163) h2(all_0_145_145) = all_0_55_55 % 11.71/3.21 | (164) h3(all_0_145_145) = all_0_34_34 % 11.71/3.21 | (165) op1(e13, all_0_148_148) = all_0_122_122 % 11.71/3.21 | (166) ~ (all_0_127_127 = all_0_136_136) % 11.71/3.21 | (167) all_0_137_137 = e23 | all_0_137_137 = e22 | all_0_137_137 = e21 | all_0_137_137 = e20 % 11.71/3.21 | (168) op2(all_0_108_108, e21) = all_0_56_56 % 11.71/3.21 | (169) ~ (all_0_144_144 = e11) % 11.71/3.21 | (170) ~ (all_0_136_136 = e20) % 11.71/3.21 | (171) op2(all_0_134_134, all_0_134_134) = all_0_67_67 % 11.71/3.21 | (172) op2(e20, all_0_138_138) = all_0_112_112 % 11.71/3.21 | (173) op2(all_0_100_100, all_0_97_97) = all_0_13_13 % 11.71/3.21 | (174) ~ (all_0_136_136 = all_0_138_138) % 11.71/3.21 | (175) op2(e22, all_0_127_127) = all_0_101_101 % 11.71/3.21 | (176) all_0_145_145 = e12 | all_0_146_146 = e12 | all_0_147_147 = e12 % 11.71/3.21 | (177) op2(e21, all_0_98_98) = all_0_49_49 % 11.71/3.21 | (178) ~ (all_0_132_132 = all_0_133_133) % 11.71/3.21 | (179) ~ (all_0_146_146 = e13) % 11.71/3.21 | (180) ~ (all_0_126_126 = all_0_135_135) % 11.71/3.21 | (181) op1(e10, e11) = all_0_150_150 % 11.71/3.21 | (182) ~ (all_0_151_151 = e11) % 11.71/3.21 | (183) all_0_148_148 = e13 | all_0_149_149 = e13 | all_0_150_150 = e13 % 11.71/3.21 | (184) ~ (all_0_126_126 = all_0_132_132) % 11.71/3.21 | (185) ~ (all_0_147_147 = all_0_150_150) % 11.71/3.21 | (186) ~ (all_0_132_132 = all_0_135_135) % 11.71/3.21 | (187) ~ (all_0_140_140 = all_0_141_141) % 11.71/3.21 | (188) ~ (all_0_126_126 = all_0_128_128) % 11.71/3.21 | (189) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0)) % 11.71/3.21 | (190) ~ (all_0_127_127 = e20) % 11.71/3.21 | (191) ~ (all_0_128_128 = all_0_131_131) % 11.71/3.21 | (192) all_0_131_131 = e23 | all_0_131_131 = e22 % 11.71/3.21 | (193) h4(all_0_139_139) = all_0_1_1 % 11.71/3.21 | (194) h3(e11) = e21 % 11.71/3.21 | (195) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0)) % 11.71/3.21 | (196) ~ (e13 = e10) % 11.71/3.21 | (197) op2(e23, e23) = all_0_126_126 % 11.71/3.21 | (198) op2(e20, e22) = all_0_136_136 % 11.71/3.21 | (199) ~ (all_0_139_139 = all_0_148_148) % 11.71/3.22 | (200) ~ (all_0_150_150 = all_0_151_151) % 11.71/3.22 | (201) op2(all_0_97_97, all_0_100_100) = all_0_4_4 % 11.71/3.22 | (202) op2(e21, e20) = e23 % 11.71/3.22 | (203) ~ (all_0_130_130 = all_0_135_135) % 11.71/3.22 | (204) all_0_151_151 = e12 | all_0_151_151 = e10 % 11.71/3.22 | (205) all_0_139_139 = e13 | all_0_143_143 = e13 | all_0_148_148 = e13 % 11.71/3.22 | (206) all_0_132_132 = e22 | all_0_132_132 = e21 | all_0_132_132 = e20 % 11.71/3.22 | (207) op2(e22, e23) = all_0_130_130 % 11.71/3.22 | (208) all_0_130_130 = e22 | all_0_131_131 = e22 % 11.71/3.22 | (209) ~ (e20 = e13) % 11.71/3.22 | (210) ~ (all_0_139_139 = all_0_145_145) % 11.71/3.22 | (211) ~ (all_0_137_137 = all_0_138_138) % 11.71/3.22 | (212) all_0_145_145 = e12 | all_0_145_145 = e11 | all_0_145_145 = e10 % 11.71/3.22 | (213) ~ (e20 = e11) % 11.71/3.22 | (214) all_0_126_126 = e22 | all_0_130_130 = e22 | all_0_132_132 = e22 | all_0_135_135 = e22 % 11.71/3.22 | (215) op2(e20, all_0_138_138) = all_0_81_81 % 11.71/3.22 | (216) h4(all_0_146_146) = all_0_16_16 % 11.71/3.22 | (217) op2(all_0_112_112, all_0_112_112) = all_0_86_86 % 11.71/3.22 | (218) ~ (all_0_145_145 = all_0_148_148) % 11.71/3.22 | (219) h3(all_0_150_150) = all_0_39_39 % 11.71/3.22 | (220) ~ (e23 = e10) % 11.71/3.22 | (221) all_0_150_150 = e13 | all_0_150_150 = e12 | all_0_150_150 = e11 | all_0_150_150 = e10 % 11.71/3.22 | (222) op2(all_0_108_108, all_0_108_108) = all_0_58_58 % 11.71/3.22 | (223) op2(all_0_99_99, all_0_138_138) = all_0_75_75 % 11.71/3.22 | (224) h1(all_0_140_140) = all_0_72_72 % 11.71/3.22 | (225) h3(all_0_147_147) = all_0_36_36 % 11.71/3.22 | (226) all_0_135_135 = e21 | all_0_136_136 = e21 | all_0_137_137 = e21 % 11.71/3.22 | (227) ~ (all_0_145_145 = all_0_146_146) % 11.71/3.22 | (228) h4(e12) = e23 % 11.71/3.22 | (229) all_0_126_126 = e20 | all_0_128_128 = e20 | all_0_129_129 = e20 % 11.71/3.22 | (230) h2(all_0_149_149) = all_0_64_64 % 11.71/3.22 | (231) op2(all_0_138_138, e20) = all_0_91_91 % 11.71/3.22 | (232) h3(all_0_140_140) = all_0_29_29 % 11.71/3.22 | (233) h1(all_0_143_143) = all_0_78_78 % 11.71/3.22 | (234) op2(all_0_99_99, all_0_99_99) = all_0_69_69 % 11.71/3.22 | (235) op2(all_0_138_138, all_0_99_99) = all_0_89_89 % 11.71/3.22 | (236) ~ (all_0_140_140 = all_0_149_149) % 11.71/3.22 | (237) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0)) % 11.71/3.22 | (238) op2(e22, e21) = all_0_131_131 % 11.71/3.22 | (239) op1(e13, all_0_145_145) = all_0_119_119 % 11.71/3.22 | (240) h2(all_0_141_141) = all_0_46_46 % 11.71/3.22 | (241) h1(all_0_141_141) = all_0_74_74 % 11.71/3.22 | (242) op1(e13, e10) = all_0_142_142 % 11.71/3.22 | (243) ~ (all_0_141_141 = all_0_142_142) % 11.71/3.22 | (244) all_0_126_126 = e20 | all_0_132_132 = e20 | all_0_135_135 = e20 % 11.71/3.22 | (245) op2(all_0_126_126, all_0_126_126) = all_0_26_26 % 11.71/3.22 | (246) h4(e10) = all_0_126_126 % 11.71/3.22 | (247) ~ (e22 = e21) % 11.71/3.22 | (248) ~ (all_0_146_146 = all_0_149_149) % 11.71/3.22 | (249) all_0_129_129 = e22 | all_0_129_129 = e20 % 11.71/3.22 | (250) ~ (all_0_127_127 = all_0_128_128) % 11.71/3.22 | (251) ~ (all_0_145_145 = all_0_147_147) % 11.71/3.22 | (252) op2(all_0_134_134, all_0_98_98) = all_0_61_61 % 11.71/3.22 | (253) all_0_139_139 = e11 | all_0_145_145 = e11 | all_0_148_148 = e11 % 11.71/3.22 | (254) ~ (all_0_129_129 = all_0_138_138) % 11.71/3.22 | (255) ~ (all_0_132_132 = all_0_134_134) % 11.71/3.22 | (256) ~ (e23 = e12) % 11.71/3.22 | (257) ~ (all_0_144_144 = all_0_150_150) % 11.71/3.22 | (258) (all_0_113_113 = e13 & all_0_114_114 = e12 & all_0_115_115 = e11 & all_0_116_116 = e10) | (all_0_119_119 = e13 & all_0_120_120 = e12 & all_0_121_121 = e11 & all_0_148_148 = e10) | (all_0_122_122 = e13 & all_0_123_123 = e12 & all_0_124_124 = e11 & all_0_125_125 = e10) % 11.71/3.22 | (259) ~ (all_0_135_135 = all_0_137_137) % 11.71/3.22 | (260) h4(e13) = all_0_97_97 % 11.71/3.22 | (261) h4(all_0_145_145) = all_0_14_14 % 11.71/3.22 | (262) h1(all_0_145_145) = all_0_83_83 % 11.71/3.22 | (263) op1(e10, e10) = all_0_151_151 % 11.71/3.22 | (264) ~ (all_0_139_139 = all_0_142_142) % 11.71/3.22 | (265) ~ (e20 = e12) % 11.71/3.23 | (266) ~ (e23 = e20) % 11.71/3.23 | (267) h1(all_0_151_151) = all_0_96_96 % 11.71/3.23 | (268) h3(all_0_144_144) = all_0_33_33 % 11.71/3.23 | (269) ~ (all_0_130_130 = all_0_131_131) % 11.71/3.23 | (270) op2(all_0_138_138, all_0_112_112) = all_0_93_93 % 11.71/3.23 | (271) all_0_143_143 = e13 | all_0_143_143 = e12 % 11.71/3.23 | (272) ~ (all_0_134_134 = all_0_137_137) % 11.71/3.23 | (273) all_0_127_127 = e23 | all_0_136_136 = e23 % 11.71/3.23 | (274) op2(e20, e20) = all_0_138_138 % 11.71/3.23 | (275) op2(e23, e21) = all_0_128_128 % 11.71/3.23 | (276) ~ (all_0_126_126 = all_0_129_129) % 11.71/3.23 | (277) ~ (e23 = e21) % 11.71/3.23 | (278) all_0_126_126 = e22 | all_0_127_127 = e22 | all_0_128_128 = e22 | all_0_129_129 = e22 % 11.71/3.23 | (279) op2(e20, e21) = all_0_137_137 % 11.71/3.23 | (280) ~ (e22 = e13) % 11.71/3.23 | (281) ~ (all_0_138_138 = e23) % 11.71/3.23 | (282) ~ (e22 = e12) % 11.71/3.23 | (283) ~ (all_0_133_133 = all_0_136_136) % 11.71/3.23 | (284) all_0_127_127 = e23 | all_0_127_127 = e22 | all_0_127_127 = e21 % 11.71/3.23 | (285) all_0_128_128 = e21 | all_0_134_134 = e21 | all_0_137_137 = e21 % 11.71/3.23 | (286) ~ (e13 = e12) % 11.71/3.23 | (287) ~ (all_0_141_141 = all_0_144_144) % 11.71/3.23 | (288) op1(e10, e13) = all_0_148_148 % 11.71/3.23 | (289) ~ (all_0_143_143 = all_0_148_148) % 11.71/3.23 | (290) all_0_136_136 = e23 | all_0_136_136 = e22 | all_0_136_136 = e21 % 11.71/3.23 | (291) ~ (all_0_148_148 = all_0_150_150) % 11.71/3.23 | (292) ~ (e11 = e10) % 11.71/3.23 | (293) h2(all_0_144_144) = all_0_52_52 % 11.71/3.23 | (294) op1(e10, all_0_142_142) = all_0_116_116 % 11.71/3.23 | (295) op1(e12, e12) = e10 % 11.71/3.23 | (296) op1(e11, all_0_141_141) = all_0_115_115 % 11.71/3.23 | (297) h1(all_0_148_148) = all_0_90_90 % 11.71/3.23 | (298) ~ (all_0_136_136 = all_0_137_137) % 11.71/3.23 | (299) op2(e23, all_0_130_130) = all_0_104_104 % 11.71/3.23 | (300) all_0_145_145 = e10 | all_0_147_147 = e10 % 11.71/3.23 | (301) ~ (all_0_146_146 = all_0_147_147) % 11.71/3.23 | (302) op2(all_0_98_98, all_0_134_134) = all_0_47_47 % 11.71/3.23 | (303) ~ (e23 = e11) % 11.71/3.23 | (304) op1(e11, all_0_147_147) = all_0_121_121 % 11.71/3.23 | (305) op2(all_0_97_97, e23) = all_0_2_2 % 11.71/3.23 | (306) ~ (all_0_128_128 = all_0_137_137) % 11.71/3.23 | (307) ~ (all_0_129_129 = e21) % 11.71/3.23 | (308) op2(e21, all_0_108_108) = all_0_51_51 % 11.71/3.23 | (309) ~ (e12 = e11) % 11.71/3.23 | (310) op2(e21, all_0_128_128) = all_0_102_102 % 11.71/3.23 | (311) h4(all_0_149_149) = all_0_23_23 % 11.71/3.23 | (312) h1(all_0_146_146) = all_0_85_85 % 11.71/3.23 | (313) h3(all_0_141_141) = all_0_30_30 % 11.71/3.23 | (314) op2(all_0_108_108, all_0_134_134) = all_0_60_60 % 11.71/3.23 | (315) ~ (e21 = e12) % 11.71/3.23 | (316) h3(e13) = e23 % 11.71/3.23 | (317) h2(e10) = all_0_134_134 % 11.71/3.23 | (318) h1(e10) = all_0_138_138 % 11.71/3.23 | (319) all_0_142_142 = e12 | all_0_142_142 = e10 % 11.71/3.23 | (320) h2(e11) = all_0_108_108 % 11.71/3.23 | (321) op2(e20, all_0_99_99) = all_0_77_77 % 11.71/3.23 | (322) ~ (e21 = e20) % 11.71/3.23 | (323) op2(all_0_134_134, e21) = all_0_63_63 % 11.71/3.23 | (324) h1(all_0_139_139) = all_0_70_70 % 11.71/3.23 | (325) all_0_142_142 = e12 | all_0_151_151 = e12 % 11.71/3.23 | (326) all_0_138_138 = e22 | all_0_138_138 = e20 % 11.71/3.23 | (327) all_0_149_149 = e13 | all_0_149_149 = e12 | all_0_149_149 = e11 % 11.71/3.23 | (328) all_0_126_126 = e23 | all_0_130_130 = e23 | all_0_135_135 = e23 % 11.71/3.23 | (329) all_0_128_128 = e23 | all_0_131_131 = e23 | all_0_137_137 = e23 % 11.71/3.23 | (330) ~ (all_0_144_144 = e10) % 11.71/3.23 | (331) ~ (all_0_131_131 = all_0_134_134) % 11.71/3.23 | (332) h1(e11) = all_0_112_112 % 11.71/3.23 | (333) h1(all_0_149_149) = all_0_92_92 % 11.71/3.23 | (334) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0)) % 11.71/3.23 | (335) all_0_139_139 = e10 | all_0_145_145 = e10 | all_0_148_148 = e10 % 11.71/3.23 | (336) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0)) % 11.71/3.23 | (337) h4(all_0_151_151) = all_0_27_27 % 11.71/3.23 | (338) op2(e23, all_0_97_97) = all_0_8_8 % 11.71/3.23 | (339) op2(e23, all_0_126_126) = all_0_12_12 % 11.71/3.23 | (340) all_0_135_135 = e20 | all_0_137_137 = e20 | all_0_138_138 = e20 % 11.71/3.23 | (341) op2(e22, e20) = e21 % 11.71/3.23 | (342) ~ (e21 = e13) % 11.71/3.23 | (343) ~ (all_0_142_142 = e13) % 11.71/3.23 | (344) all_0_130_130 = e23 | all_0_131_131 = e23 % 11.71/3.23 | (345) h1(all_0_144_144) = all_0_80_80 % 11.71/3.23 | (346) h2(all_0_140_140) = all_0_44_44 % 11.71/3.23 | (347) all_0_127_127 = e22 | all_0_133_133 = e22 | all_0_136_136 = e22 % 11.71/3.23 | (348) all_0_140_140 = e13 | all_0_149_149 = e13 % 11.71/3.23 | (349) all_0_141_141 = e10 | all_0_147_147 = e10 | all_0_150_150 = e10 % 11.71/3.23 | (350) op2(all_0_98_98, all_0_98_98) = all_0_41_41 % 11.71/3.23 | (351) op1(e13, e11) = all_0_141_141 % 11.71/3.23 | (352) h1(all_0_150_150) = all_0_94_94 % 11.71/3.23 | (353) all_0_141_141 = e12 | all_0_144_144 = e12 | all_0_147_147 = e12 | all_0_150_150 = e12 % 11.71/3.23 | (354) ~ (all_0_132_132 = e23) % 11.71/3.23 | (355) ~ (all_0_135_135 = all_0_136_136) % 11.71/3.23 | (356) (all_0_100_100 = e23 & all_0_101_101 = e22 & all_0_102_102 = e21 & all_0_103_103 = e20) | (all_0_106_106 = e23 & all_0_107_107 = e22 & all_0_108_108 = e21 & all_0_135_135 = e20) | (all_0_109_109 = e23 & all_0_110_110 = e22 & all_0_111_111 = e21 & all_0_112_112 = e20) % 11.71/3.23 | (357) h3(all_0_151_151) = all_0_40_40 % 11.71/3.23 | (358) h2(e13) = all_0_98_98 % 11.71/3.23 | (359) ~ (all_0_139_139 = all_0_141_141) % 11.71/3.23 | (360) all_0_139_139 = e12 | all_0_143_143 = e12 | all_0_145_145 = e12 | all_0_148_148 = e12 % 11.71/3.23 | (361) ~ (e13 = e11) % 11.71/3.23 | (362) ~ (all_0_28_28 = all_0_126_126) | ~ (all_0_29_29 = all_0_127_127) | ~ (all_0_30_30 = all_0_128_128) | ~ (all_0_31_31 = all_0_129_129) | ~ (all_0_32_32 = all_0_130_130) | ~ (all_0_33_33 = all_0_131_131) | ~ (all_0_34_34 = all_0_132_132) | ~ (all_0_35_35 = all_0_133_133) | ~ (all_0_36_36 = all_0_134_134) | ~ (all_0_37_37 = all_0_135_135) | ~ (all_0_38_38 = all_0_136_136) | ~ (all_0_39_39 = all_0_137_137) | ~ (all_0_40_40 = all_0_138_138) % 11.71/3.23 | (363) all_0_143_143 = e13 | all_0_144_144 = e13 % 11.71/3.24 | (364) all_0_139_139 = e13 | all_0_139_139 = e12 | all_0_139_139 = e11 | all_0_139_139 = e10 % 11.71/3.24 | (365) h4(e11) = all_0_100_100 % 11.71/3.24 | (366) ~ (all_0_143_143 = e11) % 11.71/3.24 | (367) op2(all_0_99_99, all_0_112_112) = all_0_73_73 % 11.71/3.24 | (368) all_0_128_128 = e23 | all_0_128_128 = e22 | all_0_128_128 = e21 | all_0_128_128 = e20 % 11.71/3.24 | (369) h1(all_0_147_147) = all_0_87_87 % 11.71/3.24 | (370) op2(all_0_98_98, all_0_108_108) = all_0_45_45 % 11.71/3.24 | (371) op2(all_0_126_126, all_0_97_97) = all_0_20_20 % 11.71/3.24 | (372) op1(e11, e13) = all_0_145_145 % 11.71/3.24 | (373) op2(all_0_126_126, all_0_100_100) = all_0_24_24 % 11.71/3.24 | (374) h2(all_0_151_151) = all_0_68_68 % 11.71/3.24 | (375) op1(e12, e13) = all_0_143_143 % 11.71/3.24 | (376) ~ (all_0_130_130 = e21) % 11.71/3.24 | (377) all_0_140_140 = e11 | all_0_146_146 = e11 | all_0_149_149 = e11 % 11.71/3.24 | (378) ~ (all_0_127_127 = all_0_129_129) % 11.71/3.24 | (379) ~ (e22 = e10) % 11.71/3.24 | (380) h3(all_0_149_149) = all_0_38_38 % 11.71/3.24 | (381) h1(all_0_142_142) = all_0_76_76 % 11.71/3.24 | (382) op2(e22, all_0_133_133) = all_0_107_107 % 11.71/3.24 | (383) h2(all_0_143_143) = all_0_50_50 % 11.71/3.24 | (384) h2(e12) = e21 % 11.71/3.24 | (385) op2(e23, all_0_132_132) = all_0_106_106 % 11.71/3.24 | % 11.71/3.24 | Instantiating formula (195) with all_0_108_108, all_0_134_134, all_0_98_98, all_0_60_60 and discharging atoms op2(all_0_108_108, all_0_134_134) = all_0_60_60, op2(all_0_108_108, all_0_134_134) = all_0_98_98, yields: % 11.71/3.24 | (386) all_0_60_60 = all_0_98_98 % 11.71/3.24 | % 11.71/3.24 | Instantiating formula (195) with e21, all_0_134_134, all_0_108_108, all_0_53_53 and discharging atoms op2(e21, all_0_134_134) = all_0_53_53, op2(e21, all_0_134_134) = all_0_108_108, yields: % 11.71/3.24 | (387) all_0_53_53 = all_0_108_108 % 11.71/3.24 | % 11.71/3.24 | Instantiating formula (195) with e20, all_0_138_138, all_0_112_112, all_0_81_81 and discharging atoms op2(e20, all_0_138_138) = all_0_81_81, op2(e20, all_0_138_138) = all_0_112_112, yields: % 11.71/3.24 | (388) all_0_81_81 = all_0_112_112 % 11.71/3.24 | % 11.71/3.24 | From (386) and (314) follows: % 11.71/3.24 | (106) op2(all_0_108_108, all_0_134_134) = all_0_98_98 % 11.71/3.24 | % 11.71/3.24 | From (387) and (19) follows: % 11.71/3.24 | (119) op2(e21, all_0_134_134) = all_0_108_108 % 11.71/3.24 | % 11.71/3.24 | From (388) and (215) follows: % 11.71/3.24 | (172) op2(e20, all_0_138_138) = all_0_112_112 % 11.71/3.24 | % 11.71/3.24 +-Applying beta-rule and splitting (326), into two cases. % 11.71/3.24 |-Branch one: % 11.71/3.24 | (392) all_0_138_138 = e22 % 11.71/3.24 | % 11.71/3.24 | Equations (392) can reduce 254 to: % 11.71/3.24 | (393) ~ (all_0_129_129 = e22) % 11.71/3.24 | % 11.71/3.24 | From (392) and (172) follows: % 11.71/3.24 | (394) op2(e20, e22) = all_0_112_112 % 11.71/3.24 | % 11.71/3.24 | From (392) and (274) follows: % 11.71/3.24 | (395) op2(e20, e20) = e22 % 11.71/3.24 | % 11.71/3.24 +-Applying beta-rule and splitting (249), into two cases. % 11.71/3.24 |-Branch one: % 11.71/3.24 | (396) all_0_129_129 = e22 % 11.71/3.24 | % 11.71/3.24 | Equations (396) can reduce 393 to: % 11.71/3.24 | (397) $false % 11.71/3.24 | % 11.71/3.24 |-The branch is then unsatisfiable % 11.71/3.24 |-Branch two: % 11.71/3.24 | (393) ~ (all_0_129_129 = e22) % 11.71/3.24 | (399) all_0_129_129 = e20 % 11.71/3.24 | % 11.71/3.24 | Equations (399) can reduce 393 to: % 11.71/3.24 | (400) ~ (e22 = e20) % 11.71/3.24 | % 11.71/3.24 | Simplifying 400 yields: % 11.71/3.24 | (113) ~ (e22 = e20) % 11.71/3.24 | % 11.71/3.24 | From (399) and (92) follows: % 11.71/3.24 | (402) op2(e20, e20) = all_0_103_103 % 11.71/3.24 | % 11.71/3.24 | Instantiating formula (195) with e20, e22, all_0_112_112, all_0_136_136 and discharging atoms op2(e20, e22) = all_0_112_112, op2(e20, e22) = all_0_136_136, yields: % 11.71/3.24 | (403) all_0_112_112 = all_0_136_136 % 11.71/3.24 | % 11.71/3.24 | Instantiating formula (195) with e20, e20, e22, all_0_103_103 and discharging atoms op2(e20, e20) = all_0_103_103, op2(e20, e20) = e22, yields: % 11.71/3.24 | (404) all_0_103_103 = e22 % 11.71/3.24 | % 11.71/3.24 +-Applying beta-rule and splitting (356), into two cases. % 11.71/3.24 |-Branch one: % 11.71/3.24 | (405) (all_0_100_100 = e23 & all_0_101_101 = e22 & all_0_102_102 = e21 & all_0_103_103 = e20) | (all_0_106_106 = e23 & all_0_107_107 = e22 & all_0_108_108 = e21 & all_0_135_135 = e20) % 11.71/3.24 | % 11.71/3.24 +-Applying beta-rule and splitting (405), into two cases. % 11.71/3.24 |-Branch one: % 11.71/3.24 | (406) all_0_100_100 = e23 & all_0_101_101 = e22 & all_0_102_102 = e21 & all_0_103_103 = e20 % 11.71/3.24 | % 11.71/3.24 | Applying alpha-rule on (406) yields: % 11.71/3.24 | (407) all_0_100_100 = e23 % 11.71/3.24 | (408) all_0_101_101 = e22 % 11.71/3.24 | (409) all_0_102_102 = e21 % 11.71/3.24 | (410) all_0_103_103 = e20 % 11.71/3.24 | % 11.71/3.24 | Combining equations (404,410) yields a new equation: % 12.21/3.24 | (411) e22 = e20 % 12.21/3.24 | % 12.21/3.24 | Simplifying 411 yields: % 12.21/3.24 | (412) e22 = e20 % 12.21/3.24 | % 12.21/3.24 | Equations (412) can reduce 113 to: % 12.21/3.24 | (397) $false % 12.21/3.24 | % 12.21/3.24 |-The branch is then unsatisfiable % 12.21/3.24 |-Branch two: % 12.21/3.24 | (414) all_0_106_106 = e23 & all_0_107_107 = e22 & all_0_108_108 = e21 & all_0_135_135 = e20 % 12.21/3.24 | % 12.21/3.24 | Applying alpha-rule on (414) yields: % 12.21/3.24 | (415) all_0_106_106 = e23 % 12.21/3.24 | (416) all_0_107_107 = e22 % 12.21/3.24 | (417) all_0_108_108 = e21 % 12.21/3.24 | (418) all_0_135_135 = e20 % 12.21/3.25 | % 12.21/3.25 | Equations (418) can reduce 186 to: % 12.21/3.25 | (419) ~ (all_0_132_132 = e20) % 12.21/3.25 | % 12.21/3.25 | From (417) and (106) follows: % 12.21/3.25 | (420) op2(e21, all_0_134_134) = all_0_98_98 % 12.21/3.25 | % 12.21/3.25 | From (417) and (119) follows: % 12.21/3.25 | (421) op2(e21, all_0_134_134) = e21 % 12.21/3.25 | % 12.21/3.25 +-Applying beta-rule and splitting (15), into two cases. % 12.21/3.25 |-Branch one: % 12.21/3.25 | (422) all_0_132_132 = e20 % 12.21/3.25 | % 12.21/3.25 | Equations (422) can reduce 419 to: % 12.21/3.25 | (397) $false % 12.21/3.25 | % 12.21/3.25 |-The branch is then unsatisfiable % 12.21/3.25 |-Branch two: % 12.21/3.25 | (419) ~ (all_0_132_132 = e20) % 12.21/3.25 | (425) all_0_134_134 = e20 % 12.21/3.25 | % 12.21/3.25 | From (425) and (420) follows: % 12.21/3.25 | (426) op2(e21, e20) = all_0_98_98 % 12.21/3.25 | % 12.21/3.25 | From (425) and (421) follows: % 12.21/3.25 | (427) op2(e21, e20) = e21 % 12.21/3.25 | % 12.21/3.25 | Instantiating formula (195) with e21, e20, all_0_98_98, e23 and discharging atoms op2(e21, e20) = all_0_98_98, op2(e21, e20) = e23, yields: % 12.21/3.25 | (428) all_0_98_98 = e23 % 12.21/3.25 | % 12.21/3.25 | Instantiating formula (195) with e21, e20, e21, all_0_98_98 and discharging atoms op2(e21, e20) = all_0_98_98, op2(e21, e20) = e21, yields: % 12.21/3.25 | (429) all_0_98_98 = e21 % 12.21/3.25 | % 12.21/3.25 | Combining equations (429,428) yields a new equation: % 12.21/3.25 | (430) e23 = e21 % 12.21/3.25 | % 12.21/3.25 | Equations (430) can reduce 277 to: % 12.21/3.25 | (397) $false % 12.21/3.25 | % 12.21/3.25 |-The branch is then unsatisfiable % 12.21/3.25 |-Branch two: % 12.21/3.25 | (432) all_0_109_109 = e23 & all_0_110_110 = e22 & all_0_111_111 = e21 & all_0_112_112 = e20 % 12.21/3.25 | % 12.21/3.25 | Applying alpha-rule on (432) yields: % 12.21/3.25 | (433) all_0_109_109 = e23 % 12.21/3.25 | (434) all_0_110_110 = e22 % 12.21/3.25 | (435) all_0_111_111 = e21 % 12.21/3.25 | (436) all_0_112_112 = e20 % 12.21/3.25 | % 12.21/3.25 | Combining equations (436,403) yields a new equation: % 12.21/3.25 | (437) all_0_136_136 = e20 % 12.21/3.25 | % 12.21/3.25 | Equations (437) can reduce 170 to: % 12.21/3.25 | (397) $false % 12.21/3.25 | % 12.21/3.25 |-The branch is then unsatisfiable % 12.21/3.25 |-Branch two: % 12.21/3.25 | (439) ~ (all_0_138_138 = e22) % 12.21/3.25 | (440) all_0_138_138 = e20 % 12.21/3.25 | % 12.21/3.25 | Equations (440) can reduce 104 to: % 12.21/3.25 | (441) ~ (all_0_135_135 = e20) % 12.21/3.25 | % 12.21/3.25 | Equations (440) can reduce 174 to: % 12.21/3.25 | (170) ~ (all_0_136_136 = e20) % 12.21/3.25 | % 12.21/3.25 | Equations (440) can reduce 211 to: % 12.21/3.25 | (443) ~ (all_0_137_137 = e20) % 12.21/3.25 | % 12.21/3.25 | Equations (440) can reduce 439 to: % 12.21/3.25 | (400) ~ (e22 = e20) % 12.21/3.25 | % 12.21/3.25 | Simplifying 400 yields: % 12.21/3.25 | (113) ~ (e22 = e20) % 12.21/3.25 | % 12.21/3.25 +-Applying beta-rule and splitting (135), into two cases. % 12.21/3.25 |-Branch one: % 12.21/3.25 | (396) all_0_129_129 = e22 % 12.21/3.25 | % 12.21/3.25 | Equations (396) can reduce 378 to: % 12.21/3.25 | (447) ~ (all_0_127_127 = e22) % 12.21/3.25 | % 12.21/3.25 | Equations (396) can reduce 29 to: % 12.21/3.25 | (448) ~ (all_0_128_128 = e22) % 12.21/3.25 | % 12.21/3.25 | Equations (396) can reduce 158 to: % 12.21/3.25 | (449) ~ (e23 = e22) % 12.21/3.25 | % 12.21/3.25 | Simplifying 449 yields: % 12.21/3.25 | (35) ~ (e23 = e22) % 12.21/3.25 | % 12.21/3.25 | From (396) and (92) follows: % 12.21/3.25 | (451) op2(e20, e22) = all_0_103_103 % 12.21/3.25 | % 12.21/3.25 | Instantiating formula (195) with e20, e22, all_0_103_103, all_0_136_136 and discharging atoms op2(e20, e22) = all_0_103_103, op2(e20, e22) = all_0_136_136, yields: % 12.21/3.25 | (452) all_0_103_103 = all_0_136_136 % 12.21/3.25 | % 12.21/3.25 +-Applying beta-rule and splitting (356), into two cases. % 12.21/3.25 |-Branch one: % 12.21/3.25 | (405) (all_0_100_100 = e23 & all_0_101_101 = e22 & all_0_102_102 = e21 & all_0_103_103 = e20) | (all_0_106_106 = e23 & all_0_107_107 = e22 & all_0_108_108 = e21 & all_0_135_135 = e20) % 12.21/3.25 | % 12.21/3.25 +-Applying beta-rule and splitting (405), into two cases. % 12.21/3.25 |-Branch one: % 12.21/3.25 | (406) all_0_100_100 = e23 & all_0_101_101 = e22 & all_0_102_102 = e21 & all_0_103_103 = e20 % 12.21/3.25 | % 12.21/3.25 | Applying alpha-rule on (406) yields: % 12.21/3.25 | (407) all_0_100_100 = e23 % 12.21/3.25 | (408) all_0_101_101 = e22 % 12.21/3.25 | (409) all_0_102_102 = e21 % 12.21/3.25 | (410) all_0_103_103 = e20 % 12.21/3.25 | % 12.21/3.25 | Combining equations (410,452) yields a new equation: % 12.21/3.25 | (437) all_0_136_136 = e20 % 12.21/3.25 | % 12.21/3.25 | Equations (437) can reduce 170 to: % 12.21/3.25 | (397) $false % 12.21/3.25 | % 12.21/3.25 |-The branch is then unsatisfiable % 12.21/3.25 |-Branch two: % 12.21/3.25 | (414) all_0_106_106 = e23 & all_0_107_107 = e22 & all_0_108_108 = e21 & all_0_135_135 = e20 % 12.21/3.25 | % 12.21/3.25 | Applying alpha-rule on (414) yields: % 12.21/3.25 | (415) all_0_106_106 = e23 % 12.21/3.25 | (416) all_0_107_107 = e22 % 12.21/3.25 | (417) all_0_108_108 = e21 % 12.21/3.25 | (418) all_0_135_135 = e20 % 12.21/3.25 | % 12.21/3.25 | Equations (418) can reduce 441 to: % 12.21/3.25 | (397) $false % 12.21/3.25 | % 12.21/3.25 |-The branch is then unsatisfiable % 12.21/3.25 |-Branch two: % 12.21/3.25 | (432) all_0_109_109 = e23 & all_0_110_110 = e22 & all_0_111_111 = e21 & all_0_112_112 = e20 % 12.21/3.25 | % 12.21/3.25 | Applying alpha-rule on (432) yields: % 12.21/3.25 | (433) all_0_109_109 = e23 % 12.21/3.25 | (434) all_0_110_110 = e22 % 12.21/3.25 | (435) all_0_111_111 = e21 % 12.21/3.25 | (436) all_0_112_112 = e20 % 12.21/3.25 | % 12.21/3.25 | From (433) and (83) follows: % 12.21/3.25 | (472) op2(e23, all_0_135_135) = e23 % 12.21/3.25 | % 12.21/3.25 | From (434) and (90) follows: % 12.21/3.25 | (473) op2(e22, all_0_136_136) = e22 % 12.21/3.25 | % 12.21/3.25 | From (435) and (150) follows: % 12.21/3.25 | (474) op2(e21, all_0_137_137) = e21 % 12.21/3.25 | % 12.21/3.25 +-Applying beta-rule and splitting (192), into two cases. % 12.21/3.25 |-Branch one: % 12.21/3.25 | (475) all_0_131_131 = e22 % 12.21/3.25 | % 12.21/3.25 | Equations (475) can reduce 331 to: % 12.21/3.25 | (476) ~ (all_0_134_134 = e22) % 12.21/3.25 | % 12.21/3.25 | Simplifying 476 yields: % 12.21/3.25 | (477) ~ (all_0_134_134 = e22) % 12.21/3.25 | % 12.21/3.25 | Equations (475) can reduce 59 to: % 12.21/3.25 | (478) ~ (all_0_137_137 = e22) % 12.21/3.25 | % 12.21/3.25 | Simplifying 478 yields: % 12.21/3.25 | (479) ~ (all_0_137_137 = e22) % 12.21/3.25 | % 12.21/3.25 | Equations (475) can reduce 60 to: % 12.21/3.25 | (247) ~ (e22 = e21) % 12.21/3.25 | % 12.21/3.25 | Equations (475) can reduce 98 to: % 12.21/3.25 | (113) ~ (e22 = e20) % 12.21/3.25 | % 12.21/3.25 +-Applying beta-rule and splitting (344), into two cases. % 12.21/3.25 |-Branch one: % 12.21/3.25 | (482) all_0_130_130 = e23 % 12.21/3.25 | % 12.21/3.25 | Equations (482) can reduce 107 to: % 12.21/3.25 | (483) ~ (all_0_132_132 = e23) % 12.21/3.25 | % 12.21/3.25 | Simplifying 483 yields: % 12.21/3.25 | (354) ~ (all_0_132_132 = e23) % 12.21/3.25 | % 12.21/3.25 | Equations (482) can reduce 203 to: % 12.21/3.25 | (485) ~ (all_0_135_135 = e23) % 12.21/3.25 | % 12.21/3.25 | Simplifying 485 yields: % 12.21/3.25 | (486) ~ (all_0_135_135 = e23) % 12.21/3.25 | % 12.21/3.25 | Equations (482) can reduce 376 to: % 12.21/3.25 | (277) ~ (e23 = e21) % 12.21/3.25 | % 12.21/3.25 +-Applying beta-rule and splitting (54), into two cases. % 12.21/3.25 |-Branch one: % 12.21/3.25 | (488) all_0_133_133 = e22 % 12.21/3.25 | % 12.21/3.25 | Equations (488) can reduce 178 to: % 12.21/3.25 | (489) ~ (all_0_132_132 = e22) % 12.21/3.25 | % 12.21/3.25 | Equations (488) can reduce 283 to: % 12.21/3.25 | (490) ~ (all_0_136_136 = e22) % 12.21/3.25 | % 12.21/3.26 | Simplifying 490 yields: % 12.21/3.26 | (491) ~ (all_0_136_136 = e22) % 12.21/3.26 | % 12.21/3.26 +-Applying beta-rule and splitting (46), into two cases. % 12.21/3.26 |-Branch one: % 12.21/3.26 | (492) all_0_135_135 = e22 % 12.21/3.26 | % 12.21/3.26 | Equations (492) can reduce 180 to: % 12.21/3.26 | (493) ~ (all_0_126_126 = e22) % 12.21/3.26 | % 12.21/3.26 | Equations (492) can reduce 259 to: % 12.21/3.26 | (478) ~ (all_0_137_137 = e22) % 12.21/3.26 | % 12.21/3.26 | Simplifying 478 yields: % 12.21/3.26 | (479) ~ (all_0_137_137 = e22) % 12.21/3.26 | % 12.21/3.26 | From (492) and (472) follows: % 12.21/3.26 | (496) op2(e23, e22) = e23 % 12.21/3.26 | % 12.21/3.26 | Instantiating formula (195) with e23, e22, e23, all_0_127_127 and discharging atoms op2(e23, e22) = all_0_127_127, op2(e23, e22) = e23, yields: % 12.21/3.26 | (497) all_0_127_127 = e23 % 12.21/3.26 | % 12.21/3.26 | Equations (497) can reduce 10 to: % 12.21/3.26 | (498) ~ (all_0_126_126 = e23) % 12.21/3.26 | % 12.21/3.26 +-Applying beta-rule and splitting (14), into two cases. % 12.21/3.26 |-Branch one: % 12.21/3.26 | (499) all_0_127_127 = e21 % 12.21/3.26 | % 12.21/3.26 | Combining equations (499,497) yields a new equation: % 12.21/3.26 | (430) e23 = e21 % 12.21/3.26 | % 12.21/3.26 | Equations (430) can reduce 277 to: % 12.21/3.26 | (397) $false % 12.21/3.26 | % 12.21/3.26 |-The branch is then unsatisfiable % 12.21/3.26 |-Branch two: % 12.21/3.26 | (502) ~ (all_0_127_127 = e21) % 12.21/3.26 | (503) all_0_133_133 = e21 | all_0_136_136 = e21 % 12.21/3.26 | % 12.21/3.26 +-Applying beta-rule and splitting (503), into two cases. % 12.21/3.26 |-Branch one: % 12.21/3.26 | (504) all_0_133_133 = e21 % 12.21/3.26 | % 12.21/3.26 | Combining equations (504,488) yields a new equation: % 12.21/3.26 | (505) e22 = e21 % 12.21/3.26 | % 12.21/3.26 | Equations (505) can reduce 247 to: % 12.21/3.26 | (397) $false % 12.21/3.26 | % 12.21/3.26 |-The branch is then unsatisfiable % 12.21/3.26 |-Branch two: % 12.21/3.26 | (507) ~ (all_0_133_133 = e21) % 12.21/3.26 | (508) all_0_136_136 = e21 % 12.21/3.26 | % 12.21/3.26 | Equations (508) can reduce 298 to: % 12.21/3.26 | (509) ~ (all_0_137_137 = e21) % 12.21/3.26 | % 12.21/3.26 | Simplifying 509 yields: % 12.21/3.26 | (510) ~ (all_0_137_137 = e21) % 12.21/3.26 | % 12.21/3.26 | Equations (508) can reduce 170 to: % 12.21/3.26 | (322) ~ (e21 = e20) % 12.21/3.26 | % 12.21/3.26 +-Applying beta-rule and splitting (167), into two cases. % 12.21/3.26 |-Branch one: % 12.21/3.26 | (512) all_0_137_137 = e22 % 12.21/3.26 | % 12.21/3.26 | Equations (512) can reduce 479 to: % 12.21/3.26 | (397) $false % 12.21/3.26 | % 12.21/3.26 |-The branch is then unsatisfiable % 12.21/3.26 |-Branch two: % 12.21/3.26 | (479) ~ (all_0_137_137 = e22) % 12.21/3.26 | (515) all_0_137_137 = e23 | all_0_137_137 = e21 | all_0_137_137 = e20 % 12.21/3.26 | % 12.21/3.26 +-Applying beta-rule and splitting (515), into two cases. % 12.21/3.26 |-Branch one: % 12.21/3.26 | (516) all_0_137_137 = e21 % 12.21/3.26 | % 12.21/3.26 | Equations (516) can reduce 510 to: % 12.21/3.26 | (397) $false % 12.21/3.26 | % 12.21/3.26 |-The branch is then unsatisfiable % 12.21/3.26 |-Branch two: % 12.21/3.26 | (510) ~ (all_0_137_137 = e21) % 12.21/3.26 | (519) all_0_137_137 = e23 | all_0_137_137 = e20 % 12.21/3.26 | % 12.21/3.26 +-Applying beta-rule and splitting (519), into two cases. % 12.21/3.26 |-Branch one: % 12.21/3.26 | (520) all_0_137_137 = e23 % 12.21/3.26 | % 12.21/3.26 | From (520) and (474) follows: % 12.21/3.26 | (521) op2(e21, e23) = e21 % 12.21/3.26 | % 12.21/3.26 | Instantiating formula (195) with e21, e23, e21, all_0_132_132 and discharging atoms op2(e21, e23) = all_0_132_132, op2(e21, e23) = e21, yields: % 12.21/3.26 | (522) all_0_132_132 = e21 % 12.21/3.26 | % 12.21/3.26 | Equations (522) can reduce 184 to: % 12.21/3.26 | (523) ~ (all_0_126_126 = e21) % 12.21/3.26 | % 12.21/3.26 | Equations (522) can reduce 354 to: % 12.21/3.26 | (524) ~ (e23 = e21) % 12.21/3.26 | % 12.21/3.26 | Simplifying 524 yields: % 12.21/3.26 | (277) ~ (e23 = e21) % 12.21/3.26 | % 12.21/3.26 +-Applying beta-rule and splitting (15), into two cases. % 12.21/3.26 |-Branch one: % 12.21/3.26 | (422) all_0_132_132 = e20 % 12.21/3.26 | % 12.21/3.26 | Combining equations (422,522) yields a new equation: % 12.21/3.26 | (527) e21 = e20 % 12.21/3.26 | % 12.21/3.26 | Equations (527) can reduce 322 to: % 12.21/3.26 | (397) $false % 12.21/3.26 | % 12.21/3.26 |-The branch is then unsatisfiable % 12.21/3.26 |-Branch two: % 12.21/3.26 | (419) ~ (all_0_132_132 = e20) % 12.21/3.26 | (425) all_0_134_134 = e20 % 12.21/3.26 | % 12.21/3.26 +-Applying beta-rule and splitting (229), into two cases. % 12.21/3.26 |-Branch one: % 12.21/3.26 | (531) all_0_126_126 = e20 % 12.21/3.26 | % 12.21/3.26 | Equations (531) can reduce 523 to: % 12.21/3.26 | (532) ~ (e21 = e20) % 12.21/3.26 | % 12.21/3.26 | Simplifying 532 yields: % 12.21/3.26 | (322) ~ (e21 = e20) % 12.21/3.26 | % 12.21/3.26 +-Applying beta-rule and splitting (147), into two cases. % 12.21/3.26 |-Branch one: % 12.21/3.26 | (534) all_0_126_126 = e21 % 12.21/3.26 | % 12.21/3.26 | Combining equations (531,534) yields a new equation: % 12.21/3.26 | (527) e21 = e20 % 12.21/3.26 | % 12.21/3.26 | Equations (527) can reduce 322 to: % 12.21/3.26 | (397) $false % 12.21/3.26 | % 12.21/3.26 |-The branch is then unsatisfiable % 12.21/3.26 |-Branch two: % 12.21/3.26 | (523) ~ (all_0_126_126 = e21) % 12.21/3.26 | (538) all_0_127_127 = e21 | all_0_128_128 = e21 % 12.21/3.26 | % 12.21/3.26 +-Applying beta-rule and splitting (285), into two cases. % 12.21/3.26 |-Branch one: % 12.21/3.26 | (539) all_0_128_128 = e21 % 12.21/3.26 | % 12.21/3.26 +-Applying beta-rule and splitting (38), into two cases. % 12.21/3.26 |-Branch one: % 12.21/3.26 | (540) all_0_143_143 = e12 % 12.21/3.26 | % 12.21/3.26 | Equations (540) can reduce 63 to: % 12.21/3.26 | (541) ~ (all_0_139_139 = e12) % 12.21/3.26 | % 12.21/3.26 | Equations (540) can reduce 140 to: % 12.21/3.26 | (542) ~ (all_0_145_145 = e12) % 12.21/3.26 | % 12.21/3.26 | Simplifying 542 yields: % 12.21/3.26 | (543) ~ (all_0_145_145 = e12) % 12.21/3.26 | % 12.21/3.26 | Equations (540) can reduce 289 to: % 12.21/3.26 | (544) ~ (all_0_148_148 = e12) % 12.21/3.26 | % 12.21/3.26 | Simplifying 544 yields: % 12.21/3.26 | (545) ~ (all_0_148_148 = e12) % 12.21/3.26 | % 12.21/3.26 +-Applying beta-rule and splitting (325), into two cases. % 12.21/3.26 |-Branch one: % 12.21/3.26 | (546) all_0_142_142 = e12 % 12.21/3.26 | % 12.21/3.26 | Equations (546) can reduce 264 to: % 12.21/3.26 | (541) ~ (all_0_139_139 = e12) % 12.21/3.26 | % 12.21/3.26 | Equations (546) can reduce 114 to: % 12.21/3.26 | (548) ~ (all_0_140_140 = e12) % 12.21/3.26 | % 12.21/3.26 | Equations (546) can reduce 243 to: % 12.21/3.26 | (549) ~ (all_0_141_141 = e12) % 12.21/3.26 | % 12.21/3.26 | Equations (546) can reduce 97 to: % 12.21/3.26 | (550) ~ (all_0_151_151 = e12) % 12.21/3.26 | % 12.21/3.26 | Simplifying 550 yields: % 12.21/3.26 | (551) ~ (all_0_151_151 = e12) % 12.21/3.26 | % 12.21/3.26 | Equations (546) can reduce 36 to: % 12.21/3.26 | (309) ~ (e12 = e11) % 12.21/3.26 | % 12.21/3.26 | From (546) and (294) follows: % 12.21/3.26 | (553) op1(e10, e12) = all_0_116_116 % 12.21/3.26 | % 12.21/3.26 +-Applying beta-rule and splitting (204), into two cases. % 12.21/3.26 |-Branch one: % 12.21/3.26 | (554) all_0_151_151 = e12 % 12.21/3.26 | % 12.21/3.26 | Equations (554) can reduce 551 to: % 12.21/3.26 | (397) $false % 12.21/3.26 | % 12.21/3.26 |-The branch is then unsatisfiable % 12.21/3.26 |-Branch two: % 12.21/3.26 | (551) ~ (all_0_151_151 = e12) % 12.21/3.26 | (557) all_0_151_151 = e10 % 12.21/3.26 | % 12.21/3.26 | Equations (557) can reduce 70 to: % 12.21/3.26 | (558) ~ (all_0_148_148 = e10) % 12.21/3.26 | % 12.21/3.26 | Equations (557) can reduce 136 to: % 12.21/3.26 | (141) ~ (all_0_149_149 = e10) % 12.21/3.26 | % 12.21/3.26 | Equations (557) can reduce 200 to: % 12.21/3.26 | (560) ~ (all_0_150_150 = e10) % 12.21/3.26 | % 12.21/3.26 | Instantiating formula (336) with e10, e12, all_0_116_116, all_0_149_149 and discharging atoms op1(e10, e12) = all_0_116_116, op1(e10, e12) = all_0_149_149, yields: % 12.21/3.26 | (561) all_0_116_116 = all_0_149_149 % 12.21/3.26 | % 12.21/3.26 +-Applying beta-rule and splitting (258), into two cases. % 12.21/3.26 |-Branch one: % 12.21/3.26 | (562) (all_0_113_113 = e13 & all_0_114_114 = e12 & all_0_115_115 = e11 & all_0_116_116 = e10) | (all_0_119_119 = e13 & all_0_120_120 = e12 & all_0_121_121 = e11 & all_0_148_148 = e10) % 12.21/3.26 | % 12.21/3.26 +-Applying beta-rule and splitting (562), into two cases. % 12.21/3.26 |-Branch one: % 12.21/3.26 | (563) all_0_113_113 = e13 & all_0_114_114 = e12 & all_0_115_115 = e11 & all_0_116_116 = e10 % 12.21/3.26 | % 12.21/3.26 | Applying alpha-rule on (563) yields: % 12.21/3.26 | (564) all_0_113_113 = e13 % 12.21/3.27 | (565) all_0_114_114 = e12 % 12.21/3.27 | (566) all_0_115_115 = e11 % 12.21/3.27 | (567) all_0_116_116 = e10 % 12.21/3.27 | % 12.21/3.27 | Combining equations (561,567) yields a new equation: % 12.21/3.27 | (568) all_0_149_149 = e10 % 12.21/3.27 | % 12.21/3.27 | Simplifying 568 yields: % 12.21/3.27 | (569) all_0_149_149 = e10 % 12.21/3.27 | % 12.21/3.27 | Equations (569) can reduce 141 to: % 12.21/3.27 | (397) $false % 12.21/3.27 | % 12.21/3.27 |-The branch is then unsatisfiable % 12.21/3.27 |-Branch two: % 12.21/3.27 | (571) all_0_119_119 = e13 & all_0_120_120 = e12 & all_0_121_121 = e11 & all_0_148_148 = e10 % 12.21/3.27 | % 12.21/3.27 | Applying alpha-rule on (571) yields: % 12.21/3.27 | (572) all_0_119_119 = e13 % 12.21/3.27 | (573) all_0_120_120 = e12 % 12.21/3.27 | (574) all_0_121_121 = e11 % 12.21/3.27 | (575) all_0_148_148 = e10 % 12.21/3.27 | % 12.21/3.27 | Equations (575) can reduce 558 to: % 12.21/3.27 | (397) $false % 12.21/3.27 | % 12.21/3.27 |-The branch is then unsatisfiable % 12.21/3.27 |-Branch two: % 12.21/3.27 | (577) all_0_122_122 = e13 & all_0_123_123 = e12 & all_0_124_124 = e11 & all_0_125_125 = e10 % 12.21/3.27 | % 12.21/3.27 | Applying alpha-rule on (577) yields: % 12.21/3.27 | (578) all_0_122_122 = e13 % 12.21/3.27 | (579) all_0_123_123 = e12 % 12.21/3.27 | (580) all_0_124_124 = e11 % 12.21/3.27 | (581) all_0_125_125 = e10 % 12.21/3.27 | % 12.21/3.27 | From (579) and (160) follows: % 12.21/3.27 | (582) op1(e12, all_0_149_149) = e12 % 12.21/3.27 | % 12.21/3.27 | From (580) and (58) follows: % 12.21/3.27 | (583) op1(e11, all_0_150_150) = e11 % 12.21/3.27 | % 12.21/3.27 +-Applying beta-rule and splitting (48), into two cases. % 12.21/3.27 |-Branch one: % 12.21/3.27 | (584) all_0_146_146 = e12 % 12.21/3.27 | % 12.21/3.27 | Equations (584) can reduce 248 to: % 12.21/3.27 | (585) ~ (all_0_149_149 = e12) % 12.21/3.27 | % 12.21/3.27 | Simplifying 585 yields: % 12.21/3.27 | (586) ~ (all_0_149_149 = e12) % 12.21/3.27 | % 12.21/3.27 | Equations (584) can reduce 79 to: % 12.21/3.27 | (153) ~ (e12 = e10) % 12.21/3.27 | % 12.21/3.27 | From (584) and (162) follows: % 12.21/3.27 | (588) op1(e11, e12) = e12 % 12.21/3.27 | % 12.21/3.27 +-Applying beta-rule and splitting (42), into two cases. % 12.21/3.27 |-Branch one: % 12.21/3.27 | (589) all_0_148_148 = e12 % 12.21/3.27 | % 12.21/3.27 | Equations (589) can reduce 545 to: % 12.21/3.27 | (397) $false % 12.21/3.27 | % 12.21/3.27 |-The branch is then unsatisfiable % 12.21/3.27 |-Branch two: % 12.21/3.27 | (545) ~ (all_0_148_148 = e12) % 12.21/3.27 | (592) all_0_149_149 = e12 | all_0_150_150 = e12 | all_0_151_151 = e12 % 12.21/3.27 | % 12.21/3.27 +-Applying beta-rule and splitting (592), into two cases. % 12.21/3.27 |-Branch one: % 12.21/3.27 | (593) all_0_149_149 = e12 % 12.21/3.27 | % 12.21/3.27 | Equations (593) can reduce 586 to: % 12.21/3.27 | (397) $false % 12.21/3.27 | % 12.21/3.27 |-The branch is then unsatisfiable % 12.21/3.27 |-Branch two: % 12.21/3.27 | (586) ~ (all_0_149_149 = e12) % 12.21/3.27 | (596) all_0_150_150 = e12 | all_0_151_151 = e12 % 12.21/3.27 | % 12.21/3.27 +-Applying beta-rule and splitting (596), into two cases. % 12.21/3.27 |-Branch one: % 12.21/3.27 | (597) all_0_150_150 = e12 % 12.21/3.27 | % 12.21/3.27 | From (597) and (583) follows: % 12.21/3.27 | (598) op1(e11, e12) = e11 % 12.21/3.27 | % 12.21/3.27 | Instantiating formula (336) with e11, e12, e11, e12 and discharging atoms op1(e11, e12) = e12, op1(e11, e12) = e11, yields: % 12.21/3.27 | (599) e12 = e11 % 12.21/3.27 | % 12.21/3.27 | Equations (599) can reduce 309 to: % 12.21/3.27 | (397) $false % 12.21/3.27 | % 12.21/3.27 |-The branch is then unsatisfiable % 12.21/3.27 |-Branch two: % 12.21/3.27 | (601) ~ (all_0_150_150 = e12) % 12.21/3.27 | (554) all_0_151_151 = e12 % 12.21/3.27 | % 12.21/3.27 | Combining equations (554,557) yields a new equation: % 12.21/3.27 | (603) e12 = e10 % 12.21/3.27 | % 12.21/3.27 | Simplifying 603 yields: % 12.21/3.27 | (604) e12 = e10 % 12.21/3.27 | % 12.21/3.27 | Equations (604) can reduce 153 to: % 12.21/3.27 | (397) $false % 12.21/3.27 | % 12.21/3.27 |-The branch is then unsatisfiable % 12.21/3.27 |-Branch two: % 12.21/3.27 | (606) ~ (all_0_146_146 = e12) % 12.21/3.27 | (607) all_0_146_146 = e11 % 12.21/3.27 | % 12.21/3.27 | Equations (607) can reduce 139 to: % 12.21/3.27 | (608) ~ (all_0_140_140 = e11) % 12.21/3.27 | % 12.21/3.27 | Equations (607) can reduce 227 to: % 12.21/3.27 | (609) ~ (all_0_145_145 = e11) % 12.21/3.27 | % 12.21/3.27 | Equations (607) can reduce 301 to: % 12.21/3.27 | (610) ~ (all_0_147_147 = e11) % 12.21/3.27 | % 12.21/3.27 | Simplifying 610 yields: % 12.21/3.27 | (611) ~ (all_0_147_147 = e11) % 12.21/3.27 | % 12.21/3.27 | Equations (607) can reduce 248 to: % 12.21/3.27 | (612) ~ (all_0_149_149 = e11) % 12.21/3.27 | % 12.21/3.27 | Simplifying 612 yields: % 12.21/3.27 | (613) ~ (all_0_149_149 = e11) % 12.21/3.27 | % 12.21/3.27 +-Applying beta-rule and splitting (212), into two cases. % 12.21/3.27 |-Branch one: % 12.21/3.27 | (614) all_0_145_145 = e12 % 12.21/3.27 | % 12.21/3.27 | Equations (614) can reduce 543 to: % 12.21/3.27 | (397) $false % 12.21/3.27 | % 12.21/3.27 |-The branch is then unsatisfiable % 12.21/3.27 |-Branch two: % 12.21/3.27 | (543) ~ (all_0_145_145 = e12) % 12.21/3.27 | (617) all_0_145_145 = e11 | all_0_145_145 = e10 % 12.21/3.27 | % 12.21/3.27 +-Applying beta-rule and splitting (617), into two cases. % 12.21/3.27 |-Branch one: % 12.21/3.27 | (618) all_0_145_145 = e11 % 12.21/3.27 | % 12.21/3.27 | Equations (618) can reduce 609 to: % 12.21/3.27 | (397) $false % 12.21/3.27 | % 12.21/3.27 |-The branch is then unsatisfiable % 12.21/3.27 |-Branch two: % 12.21/3.27 | (609) ~ (all_0_145_145 = e11) % 12.21/3.27 | (621) all_0_145_145 = e10 % 12.21/3.27 | % 12.21/3.27 | Equations (621) can reduce 251 to: % 12.21/3.27 | (622) ~ (all_0_147_147 = e10) % 12.21/3.27 | % 12.21/3.27 | Simplifying 622 yields: % 12.21/3.27 | (623) ~ (all_0_147_147 = e10) % 12.21/3.27 | % 12.21/3.27 | Equations (621) can reduce 609 to: % 12.21/3.27 | (624) ~ (e11 = e10) % 12.21/3.27 | % 12.21/3.27 | Simplifying 624 yields: % 12.21/3.27 | (292) ~ (e11 = e10) % 12.21/3.27 | % 12.21/3.27 +-Applying beta-rule and splitting (349), into two cases. % 12.21/3.27 |-Branch one: % 12.21/3.27 | (626) all_0_141_141 = e10 % 12.21/3.27 | % 12.21/3.27 | Equations (626) can reduce 359 to: % 12.21/3.27 | (627) ~ (all_0_139_139 = e10) % 12.21/3.27 | % 12.21/3.27 | Equations (626) can reduce 128 to: % 12.21/3.27 | (628) ~ (all_0_150_150 = e10) % 12.21/3.27 | % 12.21/3.27 | Simplifying 628 yields: % 12.21/3.27 | (560) ~ (all_0_150_150 = e10) % 12.21/3.27 | % 12.21/3.27 | Equations (626) can reduce 549 to: % 12.21/3.27 | (630) ~ (e12 = e10) % 12.21/3.27 | % 12.21/3.27 | Simplifying 630 yields: % 12.21/3.27 | (153) ~ (e12 = e10) % 12.21/3.27 | % 12.21/3.27 +-Applying beta-rule and splitting (109), into two cases. % 12.21/3.27 |-Branch one: % 12.21/3.27 | (632) all_0_139_139 = e11 % 12.21/3.27 | % 12.21/3.27 | Equations (632) can reduce 142 to: % 12.21/3.27 | (633) ~ (all_0_140_140 = e11) % 12.21/3.27 | % 12.21/3.27 | Simplifying 633 yields: % 12.21/3.27 | (608) ~ (all_0_140_140 = e11) % 12.21/3.27 | % 12.21/3.27 | Equations (632) can reduce 199 to: % 12.21/3.27 | (635) ~ (all_0_148_148 = e11) % 12.21/3.27 | % 12.21/3.27 | Simplifying 635 yields: % 12.21/3.27 | (636) ~ (all_0_148_148 = e11) % 12.21/3.27 | % 12.21/3.27 | Equations (632) can reduce 541 to: % 12.21/3.27 | (637) ~ (e12 = e11) % 12.21/3.27 | % 12.21/3.28 | Simplifying 637 yields: % 12.21/3.28 | (309) ~ (e12 = e11) % 12.21/3.28 | % 12.21/3.28 | Equations (632) can reduce 627 to: % 12.21/3.28 | (292) ~ (e11 = e10) % 12.21/3.28 | % 12.21/3.28 +-Applying beta-rule and splitting (122), into two cases. % 12.21/3.28 |-Branch one: % 12.21/3.28 | (640) all_0_140_140 = e12 % 12.21/3.28 | % 12.21/3.28 | Equations (640) can reduce 548 to: % 12.21/3.28 | (397) $false % 12.21/3.28 | % 12.21/3.28 |-The branch is then unsatisfiable % 12.21/3.28 |-Branch two: % 12.21/3.28 | (548) ~ (all_0_140_140 = e12) % 12.21/3.28 | (643) all_0_146_146 = e12 | all_0_149_149 = e12 % 12.21/3.28 | % 12.21/3.28 +-Applying beta-rule and splitting (176), into two cases. % 12.21/3.28 |-Branch one: % 12.21/3.28 | (614) all_0_145_145 = e12 % 12.21/3.28 | % 12.21/3.28 | Combining equations (621,614) yields a new equation: % 12.21/3.28 | (604) e12 = e10 % 12.21/3.28 | % 12.21/3.28 | Equations (604) can reduce 153 to: % 12.21/3.28 | (397) $false % 12.21/3.28 | % 12.21/3.28 |-The branch is then unsatisfiable % 12.21/3.28 |-Branch two: % 12.21/3.28 | (543) ~ (all_0_145_145 = e12) % 12.21/3.28 | (648) all_0_146_146 = e12 | all_0_147_147 = e12 % 12.21/3.28 | % 12.21/3.28 +-Applying beta-rule and splitting (648), into two cases. % 12.21/3.28 |-Branch one: % 12.21/3.28 | (584) all_0_146_146 = e12 % 12.21/3.28 | % 12.21/3.28 | Combining equations (607,584) yields a new equation: % 12.21/3.28 | (599) e12 = e11 % 12.21/3.28 | % 12.21/3.28 | Equations (599) can reduce 309 to: % 12.21/3.28 | (397) $false % 12.21/3.28 | % 12.21/3.28 |-The branch is then unsatisfiable % 12.21/3.28 |-Branch two: % 12.21/3.28 | (606) ~ (all_0_146_146 = e12) % 12.21/3.28 | (653) all_0_147_147 = e12 % 12.21/3.28 | % 12.21/3.28 | Equations (653) can reduce 185 to: % 12.21/3.28 | (654) ~ (all_0_150_150 = e12) % 12.21/3.28 | % 12.21/3.28 | Simplifying 654 yields: % 12.21/3.28 | (601) ~ (all_0_150_150 = e12) % 12.21/3.28 | % 12.21/3.28 | Equations (653) can reduce 611 to: % 12.21/3.28 | (309) ~ (e12 = e11) % 12.21/3.28 | % 12.21/3.28 | From (653) and (53) follows: % 12.21/3.28 | (657) op1(e11, e11) = e12 % 12.21/3.28 | % 12.21/3.28 +-Applying beta-rule and splitting (145), into two cases. % 12.21/3.28 |-Branch one: % 12.21/3.28 | (640) all_0_140_140 = e12 % 12.21/3.28 | % 12.21/3.28 | Equations (640) can reduce 548 to: % 12.21/3.28 | (397) $false % 12.21/3.28 | % 12.21/3.28 |-The branch is then unsatisfiable % 12.21/3.28 |-Branch two: % 12.21/3.28 | (548) ~ (all_0_140_140 = e12) % 12.21/3.28 | (661) all_0_140_140 = e13 | all_0_140_140 = e11 % 12.21/3.28 | % 12.21/3.28 +-Applying beta-rule and splitting (661), into two cases. % 12.21/3.28 |-Branch one: % 12.21/3.28 | (662) all_0_140_140 = e11 % 12.21/3.28 | % 12.21/3.28 | Equations (662) can reduce 608 to: % 12.21/3.28 | (397) $false % 12.21/3.28 | % 12.21/3.28 |-The branch is then unsatisfiable % 12.21/3.28 |-Branch two: % 12.21/3.28 | (608) ~ (all_0_140_140 = e11) % 12.21/3.28 | (665) all_0_140_140 = e13 % 12.21/3.28 | % 12.21/3.28 | Equations (665) can reduce 236 to: % 12.21/3.28 | (666) ~ (all_0_149_149 = e13) % 12.21/3.28 | % 12.21/3.28 | Simplifying 666 yields: % 12.21/3.28 | (667) ~ (all_0_149_149 = e13) % 12.21/3.28 | % 12.21/3.28 +-Applying beta-rule and splitting (327), into two cases. % 12.21/3.28 |-Branch one: % 12.21/3.28 | (593) all_0_149_149 = e12 % 12.21/3.28 | % 12.21/3.28 | Equations (593) can reduce 7 to: % 12.21/3.28 | (654) ~ (all_0_150_150 = e12) % 12.21/3.28 | % 12.21/3.28 | Simplifying 654 yields: % 12.21/3.28 | (601) ~ (all_0_150_150 = e12) % 12.21/3.28 | % 12.21/3.28 | Equations (593) can reduce 613 to: % 12.21/3.28 | (309) ~ (e12 = e11) % 12.21/3.28 | % 12.21/3.28 | From (593) and (582) follows: % 12.21/3.28 | (672) op1(e12, e12) = e12 % 12.21/3.28 | % 12.21/3.28 +-Applying beta-rule and splitting (64), into two cases. % 12.21/3.28 |-Branch one: % 12.21/3.28 | (673) all_0_148_148 = e11 % 12.21/3.28 | % 12.21/3.28 | Equations (673) can reduce 636 to: % 12.21/3.28 | (397) $false % 12.21/3.28 | % 12.21/3.28 |-The branch is then unsatisfiable % 12.21/3.28 |-Branch two: % 12.21/3.28 | (636) ~ (all_0_148_148 = e11) % 12.21/3.28 | (676) all_0_149_149 = e11 | all_0_150_150 = e11 % 12.21/3.28 | % 12.21/3.28 +-Applying beta-rule and splitting (221), into two cases. % 12.21/3.28 |-Branch one: % 12.21/3.28 | (597) all_0_150_150 = e12 % 12.21/3.28 | % 12.21/3.28 | Equations (597) can reduce 601 to: % 12.21/3.28 | (397) $false % 12.21/3.28 | % 12.21/3.28 |-The branch is then unsatisfiable % 12.21/3.28 |-Branch two: % 12.21/3.28 | (601) ~ (all_0_150_150 = e12) % 12.21/3.28 | (680) all_0_150_150 = e13 | all_0_150_150 = e11 | all_0_150_150 = e10 % 12.21/3.28 | % 12.21/3.28 +-Applying beta-rule and splitting (680), into two cases. % 12.21/3.28 |-Branch one: % 12.21/3.28 | (681) all_0_150_150 = e11 % 12.21/3.28 | % 12.21/3.28 | Equations (681) can reduce 560 to: % 12.21/3.28 | (292) ~ (e11 = e10) % 12.21/3.28 | % 12.21/3.28 | From (681) and (583) follows: % 12.21/3.28 | (683) op1(e11, e11) = e11 % 12.21/3.28 | % 12.21/3.28 | Instantiating formula (336) with e12, e12, e12, e10 and discharging atoms op1(e12, e12) = e12, op1(e12, e12) = e10, yields: % 12.21/3.28 | (604) e12 = e10 % 12.21/3.28 | % 12.21/3.28 | Instantiating formula (336) with e11, e11, e11, e12 and discharging atoms op1(e11, e11) = e12, op1(e11, e11) = e11, yields: % 12.21/3.28 | (599) e12 = e11 % 12.21/3.28 | % 12.21/3.28 | Combining equations (599,604) yields a new equation: % 12.21/3.28 | (686) e11 = e10 % 12.21/3.28 | % 12.21/3.28 | Simplifying 686 yields: % 12.21/3.28 | (687) e11 = e10 % 12.21/3.28 | % 12.21/3.28 | Equations (687) can reduce 292 to: % 12.21/3.28 | (397) $false % 12.21/3.28 | % 12.21/3.28 |-The branch is then unsatisfiable % 12.21/3.28 |-Branch two: % 12.21/3.28 | (689) ~ (all_0_150_150 = e11) % 12.21/3.28 | (690) all_0_150_150 = e13 | all_0_150_150 = e10 % 12.21/3.28 | % 12.21/3.28 +-Applying beta-rule and splitting (676), into two cases. % 12.21/3.28 |-Branch one: % 12.21/3.28 | (691) all_0_149_149 = e11 % 12.21/3.28 | % 12.21/3.28 | Combining equations (691,593) yields a new equation: % 12.21/3.28 | (599) e12 = e11 % 12.21/3.28 | % 12.21/3.28 | Equations (599) can reduce 309 to: % 12.21/3.28 | (397) $false % 12.21/3.28 | % 12.21/3.28 |-The branch is then unsatisfiable % 12.21/3.28 |-Branch two: % 12.21/3.28 | (613) ~ (all_0_149_149 = e11) % 12.21/3.28 | (681) all_0_150_150 = e11 % 12.21/3.28 | % 12.21/3.28 | Equations (681) can reduce 689 to: % 12.21/3.28 | (397) $false % 12.21/3.28 | % 12.21/3.28 |-The branch is then unsatisfiable % 12.21/3.28 |-Branch two: % 12.21/3.28 | (586) ~ (all_0_149_149 = e12) % 12.21/3.28 | (698) all_0_149_149 = e13 | all_0_149_149 = e11 % 12.21/3.28 | % 12.21/3.28 +-Applying beta-rule and splitting (221), into two cases. % 12.21/3.28 |-Branch one: % 12.21/3.28 | (597) all_0_150_150 = e12 % 12.21/3.28 | % 12.21/3.28 | Equations (597) can reduce 601 to: % 12.21/3.28 | (397) $false % 12.21/3.28 | % 12.21/3.28 |-The branch is then unsatisfiable % 12.21/3.28 |-Branch two: % 12.21/3.28 | (601) ~ (all_0_150_150 = e12) % 12.21/3.28 | (680) all_0_150_150 = e13 | all_0_150_150 = e11 | all_0_150_150 = e10 % 12.21/3.28 | % 12.21/3.28 +-Applying beta-rule and splitting (680), into two cases. % 12.21/3.28 |-Branch one: % 12.21/3.28 | (681) all_0_150_150 = e11 % 12.21/3.28 | % 12.21/3.28 | Equations (681) can reduce 7 to: % 12.21/3.28 | (613) ~ (all_0_149_149 = e11) % 12.21/3.28 | % 12.21/3.28 +-Applying beta-rule and splitting (698), into two cases. % 12.21/3.28 |-Branch one: % 12.21/3.28 | (691) all_0_149_149 = e11 % 12.21/3.28 | % 12.21/3.28 | Equations (691) can reduce 613 to: % 12.21/3.28 | (397) $false % 12.21/3.28 | % 12.21/3.28 |-The branch is then unsatisfiable % 12.21/3.28 |-Branch two: % 12.21/3.28 | (613) ~ (all_0_149_149 = e11) % 12.21/3.29 | (708) all_0_149_149 = e13 % 12.21/3.29 | % 12.21/3.29 | Equations (708) can reduce 667 to: % 12.21/3.29 | (397) $false % 12.21/3.29 | % 12.21/3.29 |-The branch is then unsatisfiable % 12.21/3.29 |-Branch two: % 12.21/3.29 | (689) ~ (all_0_150_150 = e11) % 12.21/3.29 | (690) all_0_150_150 = e13 | all_0_150_150 = e10 % 12.21/3.29 | % 12.21/3.29 +-Applying beta-rule and splitting (17), into two cases. % 12.21/3.29 |-Branch one: % 12.21/3.29 | (712) all_0_141_141 = e11 % 12.21/3.29 | % 12.21/3.29 | Combining equations (626,712) yields a new equation: % 12.21/3.29 | (687) e11 = e10 % 12.21/3.29 | % 12.21/3.29 | Equations (687) can reduce 292 to: % 12.21/3.29 | (397) $false % 12.21/3.29 | % 12.21/3.29 |-The branch is then unsatisfiable % 12.21/3.29 |-Branch two: % 12.21/3.29 | (715) ~ (all_0_141_141 = e11) % 12.21/3.29 | (716) all_0_147_147 = e11 | all_0_150_150 = e11 % 12.21/3.29 | % 12.21/3.29 +-Applying beta-rule and splitting (716), into two cases. % 12.21/3.29 |-Branch one: % 12.21/3.29 | (717) all_0_147_147 = e11 % 12.21/3.29 | % 12.21/3.29 | Combining equations (653,717) yields a new equation: % 12.21/3.29 | (718) e12 = e11 % 12.21/3.29 | % 12.21/3.29 | Simplifying 718 yields: % 12.21/3.29 | (599) e12 = e11 % 12.21/3.29 | % 12.21/3.29 | Equations (599) can reduce 309 to: % 12.21/3.29 | (397) $false % 12.21/3.29 | % 12.21/3.29 |-The branch is then unsatisfiable % 12.21/3.29 |-Branch two: % 12.21/3.29 | (611) ~ (all_0_147_147 = e11) % 12.21/3.29 | (681) all_0_150_150 = e11 % 12.21/3.29 | % 12.21/3.29 | Equations (681) can reduce 689 to: % 12.21/3.29 | (397) $false % 12.21/3.29 | % 12.21/3.29 |-The branch is then unsatisfiable % 12.21/3.29 |-Branch two: % 12.21/3.29 | (724) ~ (all_0_139_139 = e11) % 12.21/3.29 | (725) all_0_140_140 = e11 | all_0_141_141 = e11 % 12.21/3.29 | % 12.21/3.29 +-Applying beta-rule and splitting (725), into two cases. % 12.21/3.29 |-Branch one: % 12.21/3.29 | (662) all_0_140_140 = e11 % 12.21/3.29 | % 12.21/3.29 | Equations (662) can reduce 608 to: % 12.21/3.29 | (397) $false % 12.21/3.29 | % 12.21/3.29 |-The branch is then unsatisfiable % 12.21/3.29 |-Branch two: % 12.21/3.29 | (608) ~ (all_0_140_140 = e11) % 12.21/3.29 | (712) all_0_141_141 = e11 % 12.21/3.29 | % 12.21/3.29 | Combining equations (712,626) yields a new equation: % 12.21/3.29 | (686) e11 = e10 % 12.21/3.29 | % 12.21/3.29 | Simplifying 686 yields: % 12.21/3.29 | (687) e11 = e10 % 12.21/3.29 | % 12.21/3.29 | Equations (687) can reduce 292 to: % 12.21/3.29 | (397) $false % 12.21/3.29 | % 12.21/3.29 |-The branch is then unsatisfiable % 12.21/3.29 |-Branch two: % 12.21/3.29 | (733) ~ (all_0_141_141 = e10) % 12.21/3.29 | (734) all_0_147_147 = e10 | all_0_150_150 = e10 % 12.21/3.29 | % 12.21/3.29 +-Applying beta-rule and splitting (734), into two cases. % 12.21/3.29 |-Branch one: % 12.21/3.29 | (735) all_0_147_147 = e10 % 12.21/3.29 | % 12.21/3.29 | Equations (735) can reduce 623 to: % 12.21/3.29 | (397) $false % 12.21/3.29 | % 12.21/3.29 |-The branch is then unsatisfiable % 12.21/3.29 |-Branch two: % 12.21/3.29 | (623) ~ (all_0_147_147 = e10) % 12.21/3.29 | (738) all_0_150_150 = e10 % 12.21/3.29 | % 12.21/3.29 | Equations (738) can reduce 560 to: % 12.21/3.29 | (397) $false % 12.21/3.29 | % 12.21/3.29 |-The branch is then unsatisfiable % 12.21/3.29 |-Branch two: % 12.21/3.29 | (740) ~ (all_0_142_142 = e12) % 12.21/3.29 | (554) all_0_151_151 = e12 % 12.21/3.29 | % 12.21/3.29 | Equations (554) can reduce 97 to: % 12.21/3.29 | (740) ~ (all_0_142_142 = e12) % 12.21/3.29 | % 12.21/3.29 | Equations (554) can reduce 70 to: % 12.21/3.29 | (545) ~ (all_0_148_148 = e12) % 12.21/3.29 | % 12.21/3.29 | From (554) and (101) follows: % 12.21/3.29 | (744) op1(e10, e12) = all_0_125_125 % 12.21/3.29 | % 12.21/3.29 | From (554) and (263) follows: % 12.21/3.29 | (745) op1(e10, e10) = e12 % 12.21/3.29 | % 12.21/3.29 +-Applying beta-rule and splitting (319), into two cases. % 12.21/3.29 |-Branch one: % 12.21/3.29 | (546) all_0_142_142 = e12 % 12.21/3.29 | % 12.21/3.29 | Equations (546) can reduce 740 to: % 12.21/3.29 | (397) $false % 12.21/3.29 | % 12.21/3.29 |-The branch is then unsatisfiable % 12.21/3.29 |-Branch two: % 12.21/3.29 | (740) ~ (all_0_142_142 = e12) % 12.21/3.29 | (749) all_0_142_142 = e10 % 12.21/3.29 | % 12.21/3.29 | Equations (749) can reduce 114 to: % 12.21/3.29 | (130) ~ (all_0_140_140 = e10) % 12.21/3.29 | % 12.21/3.29 | Equations (749) can reduce 740 to: % 12.21/3.29 | (630) ~ (e12 = e10) % 12.21/3.29 | % 12.21/3.29 | Simplifying 630 yields: % 12.21/3.29 | (153) ~ (e12 = e10) % 12.21/3.29 | % 12.21/3.29 | From (749) and (294) follows: % 12.21/3.29 | (753) op1(e10, e10) = all_0_116_116 % 12.21/3.29 | % 12.21/3.29 | Instantiating formula (336) with e10, e12, all_0_125_125, all_0_149_149 and discharging atoms op1(e10, e12) = all_0_125_125, op1(e10, e12) = all_0_149_149, yields: % 12.21/3.29 | (754) all_0_125_125 = all_0_149_149 % 12.21/3.29 | % 12.21/3.29 | Instantiating formula (336) with e10, e10, e12, all_0_116_116 and discharging atoms op1(e10, e10) = all_0_116_116, op1(e10, e10) = e12, yields: % 12.21/3.29 | (755) all_0_116_116 = e12 % 12.21/3.29 | % 12.21/3.29 +-Applying beta-rule and splitting (258), into two cases. % 12.21/3.29 |-Branch one: % 12.21/3.29 | (562) (all_0_113_113 = e13 & all_0_114_114 = e12 & all_0_115_115 = e11 & all_0_116_116 = e10) | (all_0_119_119 = e13 & all_0_120_120 = e12 & all_0_121_121 = e11 & all_0_148_148 = e10) % 12.21/3.29 | % 12.21/3.29 +-Applying beta-rule and splitting (562), into two cases. % 12.21/3.29 |-Branch one: % 12.21/3.29 | (563) all_0_113_113 = e13 & all_0_114_114 = e12 & all_0_115_115 = e11 & all_0_116_116 = e10 % 12.21/3.29 | % 12.21/3.29 | Applying alpha-rule on (563) yields: % 12.21/3.29 | (564) all_0_113_113 = e13 % 12.21/3.29 | (565) all_0_114_114 = e12 % 12.21/3.29 | (566) all_0_115_115 = e11 % 12.21/3.29 | (567) all_0_116_116 = e10 % 12.21/3.29 | % 12.21/3.29 | Combining equations (755,567) yields a new equation: % 12.21/3.29 | (603) e12 = e10 % 12.21/3.29 | % 12.21/3.29 | Simplifying 603 yields: % 12.21/3.29 | (604) e12 = e10 % 12.21/3.29 | % 12.21/3.29 | Equations (604) can reduce 153 to: % 12.21/3.29 | (397) $false % 12.21/3.29 | % 12.21/3.29 |-The branch is then unsatisfiable % 12.21/3.29 |-Branch two: % 12.21/3.29 | (571) all_0_119_119 = e13 & all_0_120_120 = e12 & all_0_121_121 = e11 & all_0_148_148 = e10 % 12.21/3.29 | % 12.21/3.29 | Applying alpha-rule on (571) yields: % 12.21/3.29 | (572) all_0_119_119 = e13 % 12.21/3.29 | (573) all_0_120_120 = e12 % 12.21/3.29 | (574) all_0_121_121 = e11 % 12.21/3.29 | (575) all_0_148_148 = e10 % 12.21/3.29 | % 12.21/3.29 | Equations (575) can reduce 199 to: % 12.21/3.30 | (627) ~ (all_0_139_139 = e10) % 12.21/3.30 | % 12.21/3.30 | Equations (575) can reduce 218 to: % 12.21/3.30 | (771) ~ (all_0_145_145 = e10) % 12.21/3.30 | % 12.21/3.30 | Equations (575) can reduce 545 to: % 12.21/3.30 | (630) ~ (e12 = e10) % 12.21/3.30 | % 12.21/3.30 | Simplifying 630 yields: % 12.21/3.30 | (153) ~ (e12 = e10) % 12.21/3.30 | % 12.21/3.30 | From (572) and (239) follows: % 12.21/3.30 | (774) op1(e13, all_0_145_145) = e13 % 12.21/3.30 | % 12.21/3.30 | From (573) and (93) follows: % 12.21/3.30 | (775) op1(e12, all_0_146_146) = e12 % 12.21/3.30 | % 12.21/3.30 | From (574) and (304) follows: % 12.21/3.30 | (776) op1(e11, all_0_147_147) = e11 % 12.21/3.30 | % 12.21/3.30 +-Applying beta-rule and splitting (300), into two cases. % 12.21/3.30 |-Branch one: % 12.21/3.30 | (621) all_0_145_145 = e10 % 12.21/3.30 | % 12.21/3.30 | Equations (621) can reduce 771 to: % 12.21/3.30 | (397) $false % 12.21/3.30 | % 12.21/3.30 |-The branch is then unsatisfiable % 12.21/3.30 |-Branch two: % 12.21/3.30 | (771) ~ (all_0_145_145 = e10) % 12.21/3.30 | (735) all_0_147_147 = e10 % 12.21/3.30 | % 12.21/3.30 | Equations (735) can reduce 44 to: % 12.21/3.30 | (733) ~ (all_0_141_141 = e10) % 12.21/3.30 | % 12.21/3.30 | Equations (735) can reduce 251 to: % 12.21/3.30 | (771) ~ (all_0_145_145 = e10) % 12.21/3.30 | % 12.21/3.30 | Equations (735) can reduce 185 to: % 12.21/3.30 | (628) ~ (all_0_150_150 = e10) % 12.21/3.30 | % 12.21/3.30 | Simplifying 628 yields: % 12.43/3.30 | (560) ~ (all_0_150_150 = e10) % 12.43/3.30 | % 12.43/3.30 | From (735) and (776) follows: % 12.43/3.30 | (785) op1(e11, e10) = e11 % 12.43/3.30 | % 12.43/3.30 +-Applying beta-rule and splitting (176), into two cases. % 12.43/3.30 |-Branch one: % 12.43/3.30 | (614) all_0_145_145 = e12 % 12.43/3.30 | % 12.43/3.30 | Equations (614) can reduce 543 to: % 12.43/3.30 | (397) $false % 12.43/3.30 | % 12.43/3.30 |-The branch is then unsatisfiable % 12.43/3.30 |-Branch two: % 12.43/3.30 | (543) ~ (all_0_145_145 = e12) % 12.43/3.30 | (648) all_0_146_146 = e12 | all_0_147_147 = e12 % 12.43/3.30 | % 12.43/3.30 +-Applying beta-rule and splitting (212), into two cases. % 12.43/3.30 |-Branch one: % 12.43/3.30 | (614) all_0_145_145 = e12 % 12.43/3.30 | % 12.43/3.30 | Equations (614) can reduce 543 to: % 12.43/3.30 | (397) $false % 12.43/3.30 | % 12.43/3.30 |-The branch is then unsatisfiable % 12.43/3.30 |-Branch two: % 12.43/3.30 | (543) ~ (all_0_145_145 = e12) % 12.43/3.30 | (617) all_0_145_145 = e11 | all_0_145_145 = e10 % 12.43/3.30 | % 12.43/3.30 +-Applying beta-rule and splitting (648), into two cases. % 12.43/3.30 |-Branch one: % 12.43/3.30 | (584) all_0_146_146 = e12 % 12.43/3.30 | % 12.43/3.30 | Equations (584) can reduce 227 to: % 12.43/3.30 | (543) ~ (all_0_145_145 = e12) % 12.43/3.30 | % 12.43/3.30 | From (584) and (775) follows: % 12.43/3.30 | (672) op1(e12, e12) = e12 % 12.43/3.30 | % 12.43/3.30 +-Applying beta-rule and splitting (617), into two cases. % 12.43/3.30 |-Branch one: % 12.43/3.30 | (618) all_0_145_145 = e11 % 12.43/3.30 | % 12.43/3.30 | Equations (618) can reduce 210 to: % 12.43/3.30 | (724) ~ (all_0_139_139 = e11) % 12.43/3.30 | % 12.43/3.30 | Equations (618) can reduce 543 to: % 12.43/3.30 | (637) ~ (e12 = e11) % 12.43/3.30 | % 12.43/3.30 | Simplifying 637 yields: % 12.43/3.30 | (309) ~ (e12 = e11) % 12.43/3.30 | % 12.43/3.30 | From (618) and (774) follows: % 12.43/3.30 | (801) op1(e13, e11) = e13 % 12.43/3.30 | % 12.43/3.30 +-Applying beta-rule and splitting (95), into two cases. % 12.43/3.30 |-Branch one: % 12.43/3.30 | (802) all_0_139_139 = e12 % 12.43/3.30 | % 12.43/3.30 | Equations (802) can reduce 541 to: % 12.43/3.30 | (397) $false % 12.43/3.30 | % 12.43/3.30 |-The branch is then unsatisfiable % 12.43/3.30 |-Branch two: % 12.43/3.30 | (541) ~ (all_0_139_139 = e12) % 12.43/3.30 | (805) all_0_140_140 = e12 | all_0_141_141 = e12 | all_0_142_142 = e12 % 12.43/3.30 | % 12.43/3.30 +-Applying beta-rule and splitting (205), into two cases. % 12.43/3.30 |-Branch one: % 12.43/3.30 | (806) all_0_139_139 = e13 % 12.43/3.30 | % 12.43/3.30 | Equations (806) can reduce 142 to: % 12.43/3.30 | (807) ~ (all_0_140_140 = e13) % 12.43/3.30 | % 12.43/3.30 | Simplifying 807 yields: % 12.43/3.30 | (808) ~ (all_0_140_140 = e13) % 12.43/3.30 | % 12.43/3.30 | Equations (806) can reduce 359 to: % 12.43/3.30 | (809) ~ (all_0_141_141 = e13) % 12.43/3.30 | % 12.43/3.30 | Simplifying 809 yields: % 12.43/3.30 | (810) ~ (all_0_141_141 = e13) % 12.43/3.30 | % 12.43/3.30 | Equations (806) can reduce 724 to: % 12.43/3.30 | (361) ~ (e13 = e11) % 12.43/3.30 | % 12.43/3.30 +-Applying beta-rule and splitting (348), into two cases. % 12.43/3.30 |-Branch one: % 12.43/3.30 | (665) all_0_140_140 = e13 % 12.43/3.30 | % 12.43/3.30 | Equations (665) can reduce 808 to: % 12.43/3.30 | (397) $false % 12.43/3.30 | % 12.43/3.30 |-The branch is then unsatisfiable % 12.43/3.30 |-Branch two: % 12.43/3.30 | (808) ~ (all_0_140_140 = e13) % 12.43/3.30 | (708) all_0_149_149 = e13 % 12.43/3.30 | % 12.43/3.30 +-Applying beta-rule and splitting (377), into two cases. % 12.43/3.30 |-Branch one: % 12.43/3.30 | (662) all_0_140_140 = e11 % 12.43/3.30 | % 12.43/3.30 | Equations (662) can reduce 187 to: % 12.43/3.30 | (817) ~ (all_0_141_141 = e11) % 12.43/3.30 | % 12.43/3.30 | Simplifying 817 yields: % 12.43/3.30 | (715) ~ (all_0_141_141 = e11) % 12.43/3.30 | % 12.43/3.30 | Equations (662) can reduce 130 to: % 12.43/3.30 | (292) ~ (e11 = e10) % 12.43/3.30 | % 12.43/3.30 +-Applying beta-rule and splitting (17), into two cases. % 12.43/3.30 |-Branch one: % 12.43/3.30 | (712) all_0_141_141 = e11 % 12.43/3.30 | % 12.43/3.30 | Equations (712) can reduce 715 to: % 12.43/3.30 | (397) $false % 12.43/3.30 | % 12.43/3.30 |-The branch is then unsatisfiable % 12.43/3.30 |-Branch two: % 12.43/3.30 | (715) ~ (all_0_141_141 = e11) % 12.43/3.30 | (716) all_0_147_147 = e11 | all_0_150_150 = e11 % 12.43/3.30 | % 12.43/3.30 +-Applying beta-rule and splitting (353), into two cases. % 12.43/3.30 |-Branch one: % 12.43/3.30 | (824) all_0_141_141 = e12 % 12.43/3.30 | % 12.43/3.30 | From (824) and (351) follows: % 12.43/3.30 | (825) op1(e13, e11) = e12 % 12.43/3.30 | % 12.43/3.30 +-Applying beta-rule and splitting (64), into two cases. % 12.43/3.30 |-Branch one: % 12.43/3.30 | (673) all_0_148_148 = e11 % 12.43/3.30 | % 12.43/3.30 | Combining equations (673,575) yields a new equation: % 12.43/3.30 | (686) e11 = e10 % 12.43/3.30 | % 12.43/3.30 | Simplifying 686 yields: % 12.43/3.30 | (687) e11 = e10 % 12.43/3.30 | % 12.43/3.30 | Equations (687) can reduce 292 to: % 12.43/3.30 | (397) $false % 12.43/3.30 | % 12.43/3.30 |-The branch is then unsatisfiable % 12.43/3.30 |-Branch two: % 12.43/3.30 | (636) ~ (all_0_148_148 = e11) % 12.43/3.30 | (676) all_0_149_149 = e11 | all_0_150_150 = e11 % 12.43/3.30 | % 12.43/3.30 | Equations (575) can reduce 636 to: % 12.43/3.30 | (624) ~ (e11 = e10) % 12.43/3.30 | % 12.43/3.30 | Simplifying 624 yields: % 12.43/3.30 | (292) ~ (e11 = e10) % 12.43/3.30 | % 12.43/3.31 +-Applying beta-rule and splitting (716), into two cases. % 12.43/3.31 |-Branch one: % 12.43/3.31 | (717) all_0_147_147 = e11 % 12.43/3.31 | % 12.43/3.31 | Combining equations (735,717) yields a new equation: % 12.43/3.31 | (687) e11 = e10 % 12.43/3.31 | % 12.43/3.31 | Equations (687) can reduce 292 to: % 12.43/3.31 | (397) $false % 12.43/3.31 | % 12.43/3.31 |-The branch is then unsatisfiable % 12.43/3.31 |-Branch two: % 12.43/3.31 | (611) ~ (all_0_147_147 = e11) % 12.43/3.31 | (681) all_0_150_150 = e11 % 12.43/3.31 | % 12.43/3.31 | Equations (681) can reduce 560 to: % 12.43/3.31 | (292) ~ (e11 = e10) % 12.43/3.31 | % 12.43/3.31 | Instantiating formula (336) with e13, e11, e12, e13 and discharging atoms op1(e13, e11) = e13, op1(e13, e11) = e12, yields: % 12.43/3.31 | (840) e13 = e12 % 12.43/3.31 | % 12.43/3.31 | Instantiating formula (336) with e12, e12, e12, e10 and discharging atoms op1(e12, e12) = e12, op1(e12, e12) = e10, yields: % 12.43/3.31 | (604) e12 = e10 % 12.43/3.31 | % 12.43/3.31 | Instantiating formula (336) with e11, e10, e11, e13 and discharging atoms op1(e11, e10) = e13, op1(e11, e10) = e11, yields: % 12.43/3.31 | (842) e13 = e11 % 12.43/3.31 | % 12.43/3.31 | Combining equations (842,840) yields a new equation: % 12.43/3.31 | (599) e12 = e11 % 12.43/3.31 | % 12.43/3.31 | Combining equations (599,604) yields a new equation: % 12.43/3.31 | (686) e11 = e10 % 12.43/3.31 | % 12.43/3.31 | Simplifying 686 yields: % 12.43/3.31 | (687) e11 = e10 % 12.43/3.31 | % 12.43/3.31 | Equations (687) can reduce 292 to: % 12.43/3.31 | (397) $false % 12.43/3.31 | % 12.43/3.31 |-The branch is then unsatisfiable % 12.43/3.31 |-Branch two: % 12.43/3.31 | (549) ~ (all_0_141_141 = e12) % 12.43/3.31 | (848) all_0_144_144 = e12 | all_0_147_147 = e12 | all_0_150_150 = e12 % 12.43/3.31 | % 12.43/3.31 +-Applying beta-rule and splitting (45), into two cases. % 12.43/3.31 |-Branch one: % 12.43/3.31 | (824) all_0_141_141 = e12 % 12.43/3.31 | % 12.43/3.31 | Equations (824) can reduce 549 to: % 12.43/3.31 | (397) $false % 12.43/3.31 | % 12.43/3.31 |-The branch is then unsatisfiable % 12.43/3.31 |-Branch two: % 12.43/3.31 | (549) ~ (all_0_141_141 = e12) % 12.43/3.31 | (852) all_0_141_141 = e13 | all_0_141_141 = e11 | all_0_141_141 = e10 % 12.43/3.31 | % 12.43/3.31 +-Applying beta-rule and splitting (852), into two cases. % 12.43/3.31 |-Branch one: % 12.43/3.31 | (712) all_0_141_141 = e11 % 12.43/3.31 | % 12.43/3.31 | Equations (712) can reduce 715 to: % 12.43/3.31 | (397) $false % 12.43/3.31 | % 12.43/3.31 |-The branch is then unsatisfiable % 12.43/3.31 |-Branch two: % 12.43/3.31 | (715) ~ (all_0_141_141 = e11) % 12.43/3.31 | (856) all_0_141_141 = e13 | all_0_141_141 = e10 % 12.43/3.31 | % 12.43/3.31 +-Applying beta-rule and splitting (856), into two cases. % 12.43/3.31 |-Branch one: % 12.43/3.31 | (857) all_0_141_141 = e13 % 12.43/3.31 | % 12.43/3.31 | Equations (857) can reduce 810 to: % 12.43/3.31 | (397) $false % 12.43/3.31 | % 12.43/3.31 |-The branch is then unsatisfiable % 12.43/3.31 |-Branch two: % 12.43/3.31 | (810) ~ (all_0_141_141 = e13) % 12.43/3.31 | (626) all_0_141_141 = e10 % 12.43/3.31 | % 12.43/3.31 | Equations (626) can reduce 733 to: % 12.43/3.31 | (397) $false % 12.43/3.31 | % 12.43/3.31 |-The branch is then unsatisfiable % 12.43/3.31 |-Branch two: % 12.43/3.31 | (608) ~ (all_0_140_140 = e11) % 12.43/3.31 | (863) all_0_146_146 = e11 | all_0_149_149 = e11 % 12.43/3.31 | % 12.43/3.31 +-Applying beta-rule and splitting (109), into two cases. % 12.43/3.31 |-Branch one: % 12.43/3.31 | (632) all_0_139_139 = e11 % 12.43/3.31 | % 12.43/3.31 | Combining equations (806,632) yields a new equation: % 12.43/3.31 | (865) e13 = e11 % 12.43/3.31 | % 12.43/3.31 | Simplifying 865 yields: % 12.43/3.31 | (842) e13 = e11 % 12.43/3.31 | % 12.43/3.31 | Equations (842) can reduce 361 to: % 12.43/3.31 | (397) $false % 12.43/3.31 | % 12.43/3.31 |-The branch is then unsatisfiable % 12.43/3.31 |-Branch two: % 12.43/3.31 | (724) ~ (all_0_139_139 = e11) % 12.43/3.31 | (725) all_0_140_140 = e11 | all_0_141_141 = e11 % 12.43/3.31 | % 12.43/3.31 | Equations (806) can reduce 724 to: % 12.43/3.31 | (361) ~ (e13 = e11) % 12.43/3.31 | % 12.43/3.31 +-Applying beta-rule and splitting (863), into two cases. % 12.43/3.31 |-Branch one: % 12.43/3.31 | (607) all_0_146_146 = e11 % 12.43/3.31 | % 12.43/3.31 | Combining equations (584,607) yields a new equation: % 12.43/3.31 | (718) e12 = e11 % 12.43/3.31 | % 12.43/3.31 | Simplifying 718 yields: % 12.43/3.31 | (599) e12 = e11 % 12.43/3.31 | % 12.43/3.31 | Equations (599) can reduce 309 to: % 12.43/3.31 | (397) $false % 12.43/3.31 | % 12.43/3.31 |-The branch is then unsatisfiable % 12.43/3.31 |-Branch two: % 12.43/3.31 | (875) ~ (all_0_146_146 = e11) % 12.43/3.31 | (691) all_0_149_149 = e11 % 12.43/3.31 | % 12.43/3.31 | Combining equations (708,691) yields a new equation: % 12.43/3.31 | (865) e13 = e11 % 12.43/3.31 | % 12.43/3.31 | Simplifying 865 yields: % 12.43/3.31 | (842) e13 = e11 % 12.43/3.31 | % 12.43/3.31 | Equations (842) can reduce 361 to: % 12.43/3.31 | (397) $false % 12.43/3.31 | % 12.43/3.31 |-The branch is then unsatisfiable % 12.43/3.31 |-Branch two: % 12.43/3.31 | (880) ~ (all_0_139_139 = e13) % 12.43/3.31 | (881) all_0_143_143 = e13 | all_0_148_148 = e13 % 12.43/3.31 | % 12.43/3.31 +-Applying beta-rule and splitting (364), into two cases. % 12.43/3.31 |-Branch one: % 12.43/3.31 | (802) all_0_139_139 = e12 % 12.43/3.31 | % 12.43/3.31 | Equations (802) can reduce 541 to: % 12.43/3.31 | (397) $false % 12.43/3.31 | % 12.43/3.31 |-The branch is then unsatisfiable % 12.43/3.31 |-Branch two: % 12.43/3.31 | (541) ~ (all_0_139_139 = e12) % 12.43/3.31 | (885) all_0_139_139 = e13 | all_0_139_139 = e11 | all_0_139_139 = e10 % 12.43/3.31 | % 12.43/3.31 +-Applying beta-rule and splitting (885), into two cases. % 12.43/3.31 |-Branch one: % 12.43/3.31 | (632) all_0_139_139 = e11 % 12.43/3.31 | % 12.43/3.31 | Equations (632) can reduce 724 to: % 12.43/3.31 | (397) $false % 12.43/3.31 | % 12.43/3.31 |-The branch is then unsatisfiable % 12.43/3.31 |-Branch two: % 12.43/3.31 | (724) ~ (all_0_139_139 = e11) % 12.43/3.31 | (889) all_0_139_139 = e13 | all_0_139_139 = e10 % 12.43/3.31 | % 12.43/3.31 +-Applying beta-rule and splitting (889), into two cases. % 12.43/3.31 |-Branch one: % 12.43/3.31 | (806) all_0_139_139 = e13 % 12.43/3.32 | % 12.43/3.32 | Equations (806) can reduce 880 to: % 12.43/3.32 | (397) $false % 12.43/3.32 | % 12.43/3.32 |-The branch is then unsatisfiable % 12.43/3.32 |-Branch two: % 12.43/3.32 | (880) ~ (all_0_139_139 = e13) % 12.43/3.32 | (893) all_0_139_139 = e10 % 12.43/3.32 | % 12.43/3.32 | Equations (893) can reduce 627 to: % 12.43/3.32 | (397) $false % 12.43/3.32 | % 12.43/3.32 |-The branch is then unsatisfiable % 12.43/3.32 |-Branch two: % 12.43/3.32 | (609) ~ (all_0_145_145 = e11) % 12.43/3.32 | (621) all_0_145_145 = e10 % 12.43/3.32 | % 12.43/3.32 | Equations (621) can reduce 771 to: % 12.43/3.32 | (397) $false % 12.43/3.32 | % 12.43/3.32 |-The branch is then unsatisfiable % 12.43/3.32 |-Branch two: % 12.43/3.32 | (606) ~ (all_0_146_146 = e12) % 12.43/3.32 | (653) all_0_147_147 = e12 % 12.43/3.32 | % 12.43/3.32 | Combining equations (653,735) yields a new equation: % 12.43/3.32 | (603) e12 = e10 % 12.43/3.32 | % 12.43/3.32 | Simplifying 603 yields: % 12.43/3.32 | (604) e12 = e10 % 12.43/3.32 | % 12.43/3.32 | Equations (604) can reduce 153 to: % 12.43/3.32 | (397) $false % 12.43/3.32 | % 12.43/3.32 |-The branch is then unsatisfiable % 12.43/3.32 |-Branch two: % 12.43/3.32 | (577) all_0_122_122 = e13 & all_0_123_123 = e12 & all_0_124_124 = e11 & all_0_125_125 = e10 % 12.43/3.32 | % 12.43/3.32 | Applying alpha-rule on (577) yields: % 12.43/3.32 | (578) all_0_122_122 = e13 % 12.43/3.32 | (579) all_0_123_123 = e12 % 12.43/3.32 | (580) all_0_124_124 = e11 % 12.43/3.32 | (581) all_0_125_125 = e10 % 12.43/3.32 | % 12.43/3.32 | Combining equations (581,754) yields a new equation: % 12.43/3.32 | (569) all_0_149_149 = e10 % 12.43/3.32 | % 12.43/3.32 | Equations (569) can reduce 141 to: % 12.43/3.32 | (397) $false % 12.43/3.32 | % 12.43/3.32 |-The branch is then unsatisfiable % 12.43/3.32 |-Branch two: % 12.43/3.32 | (910) ~ (all_0_143_143 = e12) % 12.43/3.32 | (911) all_0_144_144 = e12 % 12.43/3.32 | % 12.43/3.32 | Equations (911) can reduce 3 to: % 12.43/3.32 | (912) ~ (all_0_147_147 = e12) % 12.43/3.32 | % 12.43/3.32 | Simplifying 912 yields: % 12.43/3.32 | (913) ~ (all_0_147_147 = e12) % 12.43/3.32 | % 12.43/3.32 | Equations (911) can reduce 257 to: % 12.43/3.32 | (654) ~ (all_0_150_150 = e12) % 12.43/3.32 | % 12.43/3.32 | Simplifying 654 yields: % 12.43/3.32 | (601) ~ (all_0_150_150 = e12) % 12.43/3.32 | % 12.43/3.32 | From (911) and (268) follows: % 12.43/3.32 | (916) h3(e12) = all_0_33_33 % 12.43/3.32 | % 12.43/3.32 +-Applying beta-rule and splitting (363), into two cases. % 12.43/3.32 |-Branch one: % 12.43/3.32 | (917) all_0_143_143 = e13 % 12.43/3.32 | % 12.43/3.32 | Equations (917) can reduce 140 to: % 12.43/3.32 | (918) ~ (all_0_145_145 = e13) % 12.43/3.32 | % 12.43/3.32 | Simplifying 918 yields: % 12.43/3.32 | (89) ~ (all_0_145_145 = e13) % 12.43/3.32 | % 12.43/3.32 | Equations (917) can reduce 289 to: % 12.43/3.32 | (920) ~ (all_0_148_148 = e13) % 12.43/3.32 | % 12.43/3.32 | Simplifying 920 yields: % 12.43/3.32 | (921) ~ (all_0_148_148 = e13) % 12.43/3.32 | % 12.43/3.32 | Equations (917) can reduce 366 to: % 12.43/3.32 | (361) ~ (e13 = e11) % 12.43/3.32 | % 12.43/3.32 | From (917) and (67) follows: % 12.43/3.32 | (923) h3(e13) = all_0_32_32 % 12.43/3.32 | % 12.43/3.32 | Instantiating formula (23) with e13, all_0_32_32, e23 and discharging atoms h3(e13) = all_0_32_32, h3(e13) = e23, yields: % 12.43/3.32 | (924) all_0_32_32 = e23 % 12.43/3.32 | % 12.43/3.32 | Instantiating formula (23) with e12, all_0_33_33, e22 and discharging atoms h3(e12) = all_0_33_33, h3(e12) = e22, yields: % 12.43/3.32 | (925) all_0_33_33 = e22 % 12.43/3.32 | % 12.43/3.32 | From (924) and (923) follows: % 12.43/3.32 | (316) h3(e13) = e23 % 12.43/3.32 | % 12.43/3.32 | From (925) and (916) follows: % 12.43/3.32 | (68) h3(e12) = e22 % 12.43/3.32 | % 12.43/3.32 +-Applying beta-rule and splitting (325), into two cases. % 12.43/3.32 |-Branch one: % 12.43/3.32 | (546) all_0_142_142 = e12 % 12.43/3.32 | % 12.43/3.32 | Equations (546) can reduce 97 to: % 12.43/3.32 | (550) ~ (all_0_151_151 = e12) % 12.43/3.32 | % 12.43/3.32 | Simplifying 550 yields: % 12.43/3.32 | (551) ~ (all_0_151_151 = e12) % 12.43/3.32 | % 12.43/3.32 | From (546) and (294) follows: % 12.43/3.32 | (553) op1(e10, e12) = all_0_116_116 % 12.43/3.32 | % 12.43/3.32 | From (546) and (131) follows: % 12.43/3.32 | (932) h3(e12) = all_0_31_31 % 12.43/3.32 | % 12.43/3.32 +-Applying beta-rule and splitting (204), into two cases. % 12.43/3.32 |-Branch one: % 12.43/3.32 | (554) all_0_151_151 = e12 % 12.43/3.32 | % 12.43/3.32 | Equations (554) can reduce 551 to: % 12.43/3.32 | (397) $false % 12.43/3.32 | % 12.43/3.32 |-The branch is then unsatisfiable % 12.43/3.32 |-Branch two: % 12.43/3.32 | (551) ~ (all_0_151_151 = e12) % 12.43/3.32 | (557) all_0_151_151 = e10 % 12.43/3.32 | % 12.43/3.32 | Equations (557) can reduce 70 to: % 12.43/3.32 | (558) ~ (all_0_148_148 = e10) % 12.43/3.32 | % 12.43/3.32 | Equations (557) can reduce 136 to: % 12.43/3.32 | (141) ~ (all_0_149_149 = e10) % 12.43/3.32 | % 12.43/3.32 | Equations (557) can reduce 200 to: % 12.43/3.32 | (560) ~ (all_0_150_150 = e10) % 12.43/3.32 | % 12.43/3.32 | Equations (557) can reduce 551 to: % 12.43/3.32 | (630) ~ (e12 = e10) % 12.43/3.32 | % 12.43/3.32 | Simplifying 630 yields: % 12.43/3.32 | (153) ~ (e12 = e10) % 12.43/3.32 | % 12.43/3.32 | From (557) and (357) follows: % 12.43/3.32 | (942) h3(e10) = all_0_40_40 % 12.43/3.32 | % 12.43/3.32 | Instantiating formula (336) with e10, e12, all_0_116_116, all_0_149_149 and discharging atoms op1(e10, e12) = all_0_116_116, op1(e10, e12) = all_0_149_149, yields: % 12.43/3.32 | (561) all_0_116_116 = all_0_149_149 % 12.43/3.32 | % 12.43/3.32 | Instantiating formula (23) with e12, all_0_31_31, e22 and discharging atoms h3(e12) = all_0_31_31, h3(e12) = e22, yields: % 12.43/3.32 | (944) all_0_31_31 = e22 % 12.43/3.32 | % 12.43/3.32 | Instantiating formula (23) with e10, all_0_40_40, e20 and discharging atoms h3(e10) = all_0_40_40, h3(e10) = e20, yields: % 12.43/3.33 | (945) all_0_40_40 = e20 % 12.43/3.33 | % 12.43/3.33 | From (944) and (932) follows: % 12.43/3.33 | (68) h3(e12) = e22 % 12.43/3.33 | % 12.43/3.33 | From (945) and (942) follows: % 12.43/3.33 | (8) h3(e10) = e20 % 12.43/3.33 | % 12.43/3.33 +-Applying beta-rule and splitting (258), into two cases. % 12.43/3.33 |-Branch one: % 12.43/3.33 | (562) (all_0_113_113 = e13 & all_0_114_114 = e12 & all_0_115_115 = e11 & all_0_116_116 = e10) | (all_0_119_119 = e13 & all_0_120_120 = e12 & all_0_121_121 = e11 & all_0_148_148 = e10) % 12.43/3.33 | % 12.43/3.33 +-Applying beta-rule and splitting (562), into two cases. % 12.43/3.33 |-Branch one: % 12.43/3.33 | (563) all_0_113_113 = e13 & all_0_114_114 = e12 & all_0_115_115 = e11 & all_0_116_116 = e10 % 12.43/3.33 | % 12.43/3.33 | Applying alpha-rule on (563) yields: % 12.43/3.33 | (564) all_0_113_113 = e13 % 12.43/3.33 | (565) all_0_114_114 = e12 % 12.43/3.33 | (566) all_0_115_115 = e11 % 12.43/3.33 | (567) all_0_116_116 = e10 % 12.43/3.33 | % 12.43/3.33 | Combining equations (561,567) yields a new equation: % 12.43/3.33 | (568) all_0_149_149 = e10 % 12.43/3.33 | % 12.43/3.33 | Simplifying 568 yields: % 12.43/3.33 | (569) all_0_149_149 = e10 % 12.43/3.33 | % 12.43/3.33 | Equations (569) can reduce 141 to: % 12.43/3.33 | (397) $false % 12.43/3.33 | % 12.43/3.33 |-The branch is then unsatisfiable % 12.43/3.33 |-Branch two: % 12.43/3.33 | (571) all_0_119_119 = e13 & all_0_120_120 = e12 & all_0_121_121 = e11 & all_0_148_148 = e10 % 12.43/3.33 | % 12.43/3.33 | Applying alpha-rule on (571) yields: % 12.43/3.33 | (572) all_0_119_119 = e13 % 12.43/3.33 | (573) all_0_120_120 = e12 % 12.43/3.33 | (574) all_0_121_121 = e11 % 12.43/3.33 | (575) all_0_148_148 = e10 % 12.43/3.33 | % 12.43/3.33 | Equations (575) can reduce 558 to: % 12.43/3.33 | (397) $false % 12.43/3.33 | % 12.43/3.33 |-The branch is then unsatisfiable % 12.43/3.33 |-Branch two: % 12.43/3.33 | (577) all_0_122_122 = e13 & all_0_123_123 = e12 & all_0_124_124 = e11 & all_0_125_125 = e10 % 12.43/3.33 | % 12.43/3.33 | Applying alpha-rule on (577) yields: % 12.43/3.33 | (578) all_0_122_122 = e13 % 12.43/3.33 | (579) all_0_123_123 = e12 % 12.43/3.33 | (580) all_0_124_124 = e11 % 12.43/3.33 | (581) all_0_125_125 = e10 % 12.43/3.33 | % 12.43/3.33 | From (578) and (165) follows: % 12.43/3.33 | (968) op1(e13, all_0_148_148) = e13 % 12.43/3.33 | % 12.43/3.33 | From (579) and (160) follows: % 12.43/3.33 | (582) op1(e12, all_0_149_149) = e12 % 12.43/3.33 | % 12.43/3.33 | From (580) and (58) follows: % 12.43/3.33 | (583) op1(e11, all_0_150_150) = e11 % 12.43/3.33 | % 12.43/3.33 +-Applying beta-rule and splitting (48), into two cases. % 12.43/3.33 |-Branch one: % 12.43/3.33 | (584) all_0_146_146 = e12 % 12.43/3.33 | % 12.43/3.33 | Equations (584) can reduce 301 to: % 12.43/3.33 | (912) ~ (all_0_147_147 = e12) % 12.43/3.33 | % 12.43/3.33 | Simplifying 912 yields: % 12.43/3.33 | (913) ~ (all_0_147_147 = e12) % 12.43/3.33 | % 12.43/3.33 | Equations (584) can reduce 248 to: % 12.43/3.33 | (585) ~ (all_0_149_149 = e12) % 12.43/3.33 | % 12.43/3.33 | Simplifying 585 yields: % 12.43/3.33 | (586) ~ (all_0_149_149 = e12) % 12.43/3.33 | % 12.43/3.33 | Equations (584) can reduce 79 to: % 12.43/3.33 | (153) ~ (e12 = e10) % 12.43/3.33 | % 12.43/3.33 | From (584) and (18) follows: % 12.43/3.33 | (977) h3(e12) = all_0_35_35 % 12.43/3.33 | % 12.43/3.33 +-Applying beta-rule and splitting (42), into two cases. % 12.43/3.33 |-Branch one: % 12.43/3.33 | (589) all_0_148_148 = e12 % 12.43/3.33 | % 12.43/3.33 | Equations (589) can reduce 126 to: % 12.43/3.33 | (585) ~ (all_0_149_149 = e12) % 12.43/3.33 | % 12.43/3.33 | Simplifying 585 yields: % 12.43/3.33 | (586) ~ (all_0_149_149 = e12) % 12.43/3.33 | % 12.43/3.33 | Equations (589) can reduce 291 to: % 12.43/3.33 | (654) ~ (all_0_150_150 = e12) % 12.43/3.33 | % 12.43/3.33 | Simplifying 654 yields: % 12.43/3.33 | (601) ~ (all_0_150_150 = e12) % 12.43/3.33 | % 12.43/3.33 | From (589) and (968) follows: % 12.43/3.33 | (983) op1(e13, e12) = e13 % 12.43/3.33 | % 12.43/3.33 | From (589) and (9) follows: % 12.43/3.33 | (984) h3(e12) = all_0_37_37 % 12.43/3.33 | % 12.43/3.33 | Instantiating formula (336) with e13, e12, e13, all_0_140_140 and discharging atoms op1(e13, e12) = all_0_140_140, op1(e13, e12) = e13, yields: % 12.43/3.33 | (665) all_0_140_140 = e13 % 12.43/3.33 | % 12.43/3.33 | Instantiating formula (23) with e12, all_0_35_35, e22 and discharging atoms h3(e12) = all_0_35_35, h3(e12) = e22, yields: % 12.43/3.33 | (986) all_0_35_35 = e22 % 12.43/3.33 | % 12.43/3.33 | Instantiating formula (23) with e12, all_0_37_37, all_0_35_35 and discharging atoms h3(e12) = all_0_35_35, h3(e12) = all_0_37_37, yields: % 12.43/3.33 | (987) all_0_35_35 = all_0_37_37 % 12.43/3.33 | % 12.43/3.33 | Combining equations (987,986) yields a new equation: % 12.43/3.33 | (988) all_0_37_37 = e22 % 12.43/3.33 | % 12.43/3.33 | Simplifying 988 yields: % 12.43/3.33 | (989) all_0_37_37 = e22 % 12.43/3.33 | % 12.43/3.33 | Equations (665) can reduce 236 to: % 12.43/3.33 | (666) ~ (all_0_149_149 = e13) % 12.43/3.33 | % 12.43/3.33 | Simplifying 666 yields: % 12.43/3.33 | (667) ~ (all_0_149_149 = e13) % 12.43/3.33 | % 12.43/3.33 | From (665) and (232) follows: % 12.43/3.33 | (992) h3(e13) = all_0_29_29 % 12.43/3.33 | % 12.43/3.33 +-Applying beta-rule and splitting (327), into two cases. % 12.43/3.33 |-Branch one: % 12.43/3.33 | (593) all_0_149_149 = e12 % 12.43/3.33 | % 12.43/3.33 | Equations (593) can reduce 586 to: % 12.43/3.33 | (397) $false % 12.43/3.33 | % 12.43/3.33 |-The branch is then unsatisfiable % 12.43/3.33 |-Branch two: % 12.43/3.33 | (586) ~ (all_0_149_149 = e12) % 12.43/3.33 | (698) all_0_149_149 = e13 | all_0_149_149 = e11 % 12.43/3.33 | % 12.43/3.33 +-Applying beta-rule and splitting (698), into two cases. % 12.43/3.33 |-Branch one: % 12.43/3.33 | (691) all_0_149_149 = e11 % 12.43/3.33 | % 12.43/3.33 | Equations (691) can reduce 7 to: % 12.43/3.33 | (998) ~ (all_0_150_150 = e11) % 12.43/3.33 | % 12.43/3.33 | Simplifying 998 yields: % 12.43/3.33 | (689) ~ (all_0_150_150 = e11) % 12.43/3.33 | % 12.43/3.33 | Equations (691) can reduce 141 to: % 12.43/3.33 | (292) ~ (e11 = e10) % 12.43/3.33 | % 12.43/3.33 | From (691) and (380) follows: % 12.43/3.33 | (1001) h3(e11) = all_0_38_38 % 12.43/3.33 | % 12.43/3.33 +-Applying beta-rule and splitting (221), into two cases. % 12.43/3.33 |-Branch one: % 12.43/3.33 | (597) all_0_150_150 = e12 % 12.43/3.33 | % 12.43/3.33 | Equations (597) can reduce 601 to: % 12.43/3.33 | (397) $false % 12.43/3.33 | % 12.43/3.33 |-The branch is then unsatisfiable % 12.43/3.33 |-Branch two: % 12.43/3.33 | (601) ~ (all_0_150_150 = e12) % 12.43/3.33 | (680) all_0_150_150 = e13 | all_0_150_150 = e11 | all_0_150_150 = e10 % 12.43/3.33 | % 12.43/3.33 +-Applying beta-rule and splitting (680), into two cases. % 12.43/3.33 |-Branch one: % 12.43/3.33 | (681) all_0_150_150 = e11 % 12.43/3.33 | % 12.43/3.33 | Equations (681) can reduce 689 to: % 12.43/3.33 | (397) $false % 12.43/3.33 | % 12.43/3.33 |-The branch is then unsatisfiable % 12.43/3.33 |-Branch two: % 12.43/3.33 | (689) ~ (all_0_150_150 = e11) % 12.43/3.33 | (690) all_0_150_150 = e13 | all_0_150_150 = e10 % 12.43/3.33 | % 12.43/3.33 +-Applying beta-rule and splitting (690), into two cases. % 12.43/3.33 |-Branch one: % 12.43/3.33 | (1010) all_0_150_150 = e13 % 12.43/3.33 | % 12.43/3.33 | From (1010) and (583) follows: % 12.43/3.34 | (1011) op1(e11, e13) = e11 % 12.43/3.34 | % 12.43/3.34 | From (1010) and (219) follows: % 12.43/3.34 | (1012) h3(e13) = all_0_39_39 % 12.43/3.34 | % 12.43/3.34 | Instantiating formula (336) with e11, e13, e11, all_0_145_145 and discharging atoms op1(e11, e13) = all_0_145_145, op1(e11, e13) = e11, yields: % 12.43/3.34 | (618) all_0_145_145 = e11 % 12.43/3.34 | % 12.43/3.34 | Instantiating formula (23) with e13, all_0_29_29, e23 and discharging atoms h3(e13) = all_0_29_29, h3(e13) = e23, yields: % 12.43/3.34 | (1014) all_0_29_29 = e23 % 12.43/3.34 | % 12.43/3.34 | Instantiating formula (23) with e13, all_0_39_39, all_0_29_29 and discharging atoms h3(e13) = all_0_29_29, h3(e13) = all_0_39_39, yields: % 12.43/3.34 | (1015) all_0_29_29 = all_0_39_39 % 12.43/3.34 | % 12.43/3.34 | Instantiating formula (23) with e11, all_0_38_38, e21 and discharging atoms h3(e11) = all_0_38_38, h3(e11) = e21, yields: % 12.43/3.34 | (1016) all_0_38_38 = e21 % 12.43/3.34 | % 12.43/3.34 | Combining equations (1014,1015) yields a new equation: % 12.43/3.34 | (1017) all_0_39_39 = e23 % 12.43/3.34 | % 12.43/3.34 | Combining equations (1017,1015) yields a new equation: % 12.43/3.34 | (1014) all_0_29_29 = e23 % 12.43/3.34 | % 12.43/3.34 | Equations (618) can reduce 210 to: % 12.43/3.34 | (724) ~ (all_0_139_139 = e11) % 12.43/3.34 | % 12.43/3.34 | Equations (618) can reduce 89 to: % 12.43/3.34 | (1020) ~ (e13 = e11) % 12.43/3.34 | % 12.43/3.34 | Simplifying 1020 yields: % 12.43/3.34 | (361) ~ (e13 = e11) % 12.43/3.34 | % 12.43/3.34 | From (618) and (164) follows: % 12.43/3.34 | (1022) h3(e11) = all_0_34_34 % 12.43/3.34 | % 12.43/3.34 | From (1016) and (1001) follows: % 12.43/3.34 | (194) h3(e11) = e21 % 12.43/3.34 | % 12.43/3.34 +-Applying beta-rule and splitting (300), into two cases. % 12.43/3.34 |-Branch one: % 12.43/3.34 | (621) all_0_145_145 = e10 % 12.43/3.34 | % 12.43/3.34 | Combining equations (621,618) yields a new equation: % 12.43/3.34 | (687) e11 = e10 % 12.43/3.34 | % 12.43/3.34 | Equations (687) can reduce 292 to: % 12.43/3.34 | (397) $false % 12.43/3.34 | % 12.43/3.34 |-The branch is then unsatisfiable % 12.43/3.34 |-Branch two: % 12.43/3.34 | (771) ~ (all_0_145_145 = e10) % 12.43/3.34 | (735) all_0_147_147 = e10 % 12.43/3.34 | % 12.43/3.34 | Equations (735) can reduce 44 to: % 12.43/3.34 | (733) ~ (all_0_141_141 = e10) % 12.43/3.34 | % 12.43/3.34 | Equations (735) can reduce 913 to: % 12.43/3.34 | (630) ~ (e12 = e10) % 12.43/3.34 | % 12.43/3.34 | Simplifying 630 yields: % 12.43/3.34 | (153) ~ (e12 = e10) % 12.43/3.34 | % 12.43/3.34 | From (735) and (225) follows: % 12.43/3.34 | (1032) h3(e10) = all_0_36_36 % 12.43/3.34 | % 12.43/3.34 +-Applying beta-rule and splitting (335), into two cases. % 12.43/3.34 |-Branch one: % 12.43/3.34 | (893) all_0_139_139 = e10 % 12.43/3.34 | % 12.43/3.34 | Equations (893) can reduce 724 to: % 12.43/3.34 | (624) ~ (e11 = e10) % 12.43/3.34 | % 12.43/3.34 | Simplifying 624 yields: % 12.43/3.34 | (292) ~ (e11 = e10) % 12.43/3.34 | % 12.43/3.34 | From (893) and (34) follows: % 12.43/3.34 | (1036) h3(e10) = all_0_28_28 % 12.43/3.34 | % 12.43/3.34 +-Applying beta-rule and splitting (17), into two cases. % 12.43/3.34 |-Branch one: % 12.43/3.34 | (712) all_0_141_141 = e11 % 12.43/3.34 | % 12.43/3.34 | From (712) and (313) follows: % 12.43/3.34 | (1038) h3(e11) = all_0_30_30 % 12.43/3.34 | % 12.43/3.34 | Instantiating formula (23) with e11, all_0_30_30, e21 and discharging atoms h3(e11) = all_0_30_30, h3(e11) = e21, yields: % 12.43/3.34 | (1039) all_0_30_30 = e21 % 12.43/3.34 | % 12.43/3.34 | Instantiating formula (23) with e11, all_0_34_34, all_0_30_30 and discharging atoms h3(e11) = all_0_30_30, h3(e11) = all_0_34_34, yields: % 12.43/3.34 | (1040) all_0_30_30 = all_0_34_34 % 12.43/3.34 | % 12.43/3.34 | Instantiating formula (23) with e10, all_0_28_28, e20 and discharging atoms h3(e10) = all_0_28_28, h3(e10) = e20, yields: % 12.43/3.34 | (1041) all_0_28_28 = e20 % 12.43/3.34 | % 12.43/3.34 | Instantiating formula (23) with e10, all_0_36_36, all_0_28_28 and discharging atoms h3(e10) = all_0_28_28, h3(e10) = all_0_36_36, yields: % 12.43/3.34 | (1042) all_0_28_28 = all_0_36_36 % 12.43/3.34 | % 12.43/3.34 | Combining equations (1041,1042) yields a new equation: % 12.43/3.34 | (1043) all_0_36_36 = e20 % 12.43/3.34 | % 12.43/3.34 | Combining equations (1039,1040) yields a new equation: % 12.43/3.34 | (1044) all_0_34_34 = e21 % 12.43/3.34 | % 12.43/3.34 | Combining equations (1044,1040) yields a new equation: % 12.43/3.34 | (1039) all_0_30_30 = e21 % 12.43/3.34 | % 12.43/3.34 | Combining equations (1043,1042) yields a new equation: % 12.43/3.34 | (1041) all_0_28_28 = e20 % 12.43/3.34 | % 12.43/3.34 +-Applying beta-rule and splitting (362), into two cases. % 12.43/3.34 |-Branch one: % 12.43/3.34 | (1047) ~ (all_0_28_28 = all_0_126_126) % 12.43/3.34 | % 12.43/3.34 | Equations (1041,531) can reduce 1047 to: % 12.43/3.34 | (397) $false % 12.43/3.34 | % 12.43/3.34 |-The branch is then unsatisfiable % 12.43/3.34 |-Branch two: % 12.43/3.34 | (1049) all_0_28_28 = all_0_126_126 % 12.43/3.34 | (1050) ~ (all_0_29_29 = all_0_127_127) | ~ (all_0_30_30 = all_0_128_128) | ~ (all_0_31_31 = all_0_129_129) | ~ (all_0_32_32 = all_0_130_130) | ~ (all_0_33_33 = all_0_131_131) | ~ (all_0_34_34 = all_0_132_132) | ~ (all_0_35_35 = all_0_133_133) | ~ (all_0_36_36 = all_0_134_134) | ~ (all_0_37_37 = all_0_135_135) | ~ (all_0_38_38 = all_0_136_136) | ~ (all_0_39_39 = all_0_137_137) | ~ (all_0_40_40 = all_0_138_138) % 12.43/3.34 | % 12.43/3.34 +-Applying beta-rule and splitting (1050), into two cases. % 12.43/3.34 |-Branch one: % 12.43/3.34 | (1051) ~ (all_0_29_29 = all_0_127_127) % 12.43/3.34 | % 12.43/3.34 | Equations (1014,497) can reduce 1051 to: % 12.43/3.34 | (397) $false % 12.43/3.34 | % 12.43/3.34 |-The branch is then unsatisfiable % 12.43/3.34 |-Branch two: % 12.43/3.34 | (1053) all_0_29_29 = all_0_127_127 % 12.43/3.34 | (1054) ~ (all_0_30_30 = all_0_128_128) | ~ (all_0_31_31 = all_0_129_129) | ~ (all_0_32_32 = all_0_130_130) | ~ (all_0_33_33 = all_0_131_131) | ~ (all_0_34_34 = all_0_132_132) | ~ (all_0_35_35 = all_0_133_133) | ~ (all_0_36_36 = all_0_134_134) | ~ (all_0_37_37 = all_0_135_135) | ~ (all_0_38_38 = all_0_136_136) | ~ (all_0_39_39 = all_0_137_137) | ~ (all_0_40_40 = all_0_138_138) % 12.43/3.34 | % 12.43/3.34 +-Applying beta-rule and splitting (1054), into two cases. % 12.43/3.34 |-Branch one: % 12.43/3.34 | (1055) ~ (all_0_30_30 = all_0_128_128) % 12.43/3.34 | % 12.43/3.34 | Equations (1039,539) can reduce 1055 to: % 12.43/3.34 | (397) $false % 12.43/3.34 | % 12.43/3.34 |-The branch is then unsatisfiable % 12.43/3.34 |-Branch two: % 12.43/3.34 | (1057) all_0_30_30 = all_0_128_128 % 12.43/3.34 | (1058) ~ (all_0_31_31 = all_0_129_129) | ~ (all_0_32_32 = all_0_130_130) | ~ (all_0_33_33 = all_0_131_131) | ~ (all_0_34_34 = all_0_132_132) | ~ (all_0_35_35 = all_0_133_133) | ~ (all_0_36_36 = all_0_134_134) | ~ (all_0_37_37 = all_0_135_135) | ~ (all_0_38_38 = all_0_136_136) | ~ (all_0_39_39 = all_0_137_137) | ~ (all_0_40_40 = all_0_138_138) % 12.43/3.34 | % 12.43/3.35 +-Applying beta-rule and splitting (1058), into two cases. % 12.43/3.35 |-Branch one: % 12.43/3.35 | (1059) ~ (all_0_31_31 = all_0_129_129) % 12.43/3.35 | % 12.43/3.35 | Equations (944,396) can reduce 1059 to: % 12.43/3.35 | (397) $false % 12.43/3.35 | % 12.43/3.35 |-The branch is then unsatisfiable % 12.43/3.35 |-Branch two: % 12.43/3.35 | (1061) all_0_31_31 = all_0_129_129 % 12.43/3.35 | (1062) ~ (all_0_32_32 = all_0_130_130) | ~ (all_0_33_33 = all_0_131_131) | ~ (all_0_34_34 = all_0_132_132) | ~ (all_0_35_35 = all_0_133_133) | ~ (all_0_36_36 = all_0_134_134) | ~ (all_0_37_37 = all_0_135_135) | ~ (all_0_38_38 = all_0_136_136) | ~ (all_0_39_39 = all_0_137_137) | ~ (all_0_40_40 = all_0_138_138) % 12.43/3.35 | % 12.43/3.35 +-Applying beta-rule and splitting (1062), into two cases. % 12.43/3.35 |-Branch one: % 12.43/3.35 | (1063) ~ (all_0_32_32 = all_0_130_130) % 12.43/3.35 | % 12.43/3.35 | Equations (924,482) can reduce 1063 to: % 12.43/3.35 | (397) $false % 12.43/3.35 | % 12.43/3.35 |-The branch is then unsatisfiable % 12.43/3.35 |-Branch two: % 12.43/3.35 | (1065) all_0_32_32 = all_0_130_130 % 12.43/3.35 | (1066) ~ (all_0_33_33 = all_0_131_131) | ~ (all_0_34_34 = all_0_132_132) | ~ (all_0_35_35 = all_0_133_133) | ~ (all_0_36_36 = all_0_134_134) | ~ (all_0_37_37 = all_0_135_135) | ~ (all_0_38_38 = all_0_136_136) | ~ (all_0_39_39 = all_0_137_137) | ~ (all_0_40_40 = all_0_138_138) % 12.43/3.35 | % 12.43/3.35 +-Applying beta-rule and splitting (1066), into two cases. % 12.43/3.35 |-Branch one: % 12.43/3.35 | (1067) ~ (all_0_33_33 = all_0_131_131) % 12.43/3.35 | % 12.43/3.35 | Equations (925,475) can reduce 1067 to: % 12.43/3.35 | (397) $false % 12.43/3.35 | % 12.43/3.35 |-The branch is then unsatisfiable % 12.43/3.35 |-Branch two: % 12.43/3.35 | (1069) all_0_33_33 = all_0_131_131 % 12.43/3.35 | (1070) ~ (all_0_34_34 = all_0_132_132) | ~ (all_0_35_35 = all_0_133_133) | ~ (all_0_36_36 = all_0_134_134) | ~ (all_0_37_37 = all_0_135_135) | ~ (all_0_38_38 = all_0_136_136) | ~ (all_0_39_39 = all_0_137_137) | ~ (all_0_40_40 = all_0_138_138) % 12.43/3.35 | % 12.43/3.35 +-Applying beta-rule and splitting (1070), into two cases. % 12.43/3.35 |-Branch one: % 12.43/3.35 | (1071) ~ (all_0_34_34 = all_0_132_132) % 12.43/3.35 | % 12.43/3.35 | Equations (1044,522) can reduce 1071 to: % 12.43/3.35 | (397) $false % 12.43/3.35 | % 12.43/3.35 |-The branch is then unsatisfiable % 12.43/3.35 |-Branch two: % 12.43/3.35 | (1073) all_0_34_34 = all_0_132_132 % 12.43/3.35 | (1074) ~ (all_0_35_35 = all_0_133_133) | ~ (all_0_36_36 = all_0_134_134) | ~ (all_0_37_37 = all_0_135_135) | ~ (all_0_38_38 = all_0_136_136) | ~ (all_0_39_39 = all_0_137_137) | ~ (all_0_40_40 = all_0_138_138) % 12.43/3.35 | % 12.43/3.35 +-Applying beta-rule and splitting (1074), into two cases. % 12.43/3.35 |-Branch one: % 12.43/3.35 | (1075) ~ (all_0_35_35 = all_0_133_133) % 12.43/3.35 | % 12.43/3.35 | Equations (986,488) can reduce 1075 to: % 12.43/3.35 | (397) $false % 12.43/3.35 | % 12.43/3.35 |-The branch is then unsatisfiable % 12.43/3.35 |-Branch two: % 12.43/3.35 | (1077) all_0_35_35 = all_0_133_133 % 12.43/3.35 | (1078) ~ (all_0_36_36 = all_0_134_134) | ~ (all_0_37_37 = all_0_135_135) | ~ (all_0_38_38 = all_0_136_136) | ~ (all_0_39_39 = all_0_137_137) | ~ (all_0_40_40 = all_0_138_138) % 12.43/3.35 | % 12.43/3.35 +-Applying beta-rule and splitting (1078), into two cases. % 12.43/3.35 |-Branch one: % 12.43/3.35 | (1079) ~ (all_0_36_36 = all_0_134_134) % 12.43/3.35 | % 12.43/3.35 | Equations (1043,425) can reduce 1079 to: % 12.43/3.35 | (397) $false % 12.43/3.35 | % 12.43/3.35 |-The branch is then unsatisfiable % 12.43/3.35 |-Branch two: % 12.43/3.35 | (1081) all_0_36_36 = all_0_134_134 % 12.43/3.35 | (1082) ~ (all_0_37_37 = all_0_135_135) | ~ (all_0_38_38 = all_0_136_136) | ~ (all_0_39_39 = all_0_137_137) | ~ (all_0_40_40 = all_0_138_138) % 12.43/3.35 | % 12.66/3.35 +-Applying beta-rule and splitting (1082), into two cases. % 12.66/3.35 |-Branch one: % 12.66/3.35 | (1083) ~ (all_0_37_37 = all_0_135_135) % 12.66/3.35 | % 12.66/3.35 | Equations (989,492) can reduce 1083 to: % 12.66/3.35 | (397) $false % 12.66/3.35 | % 12.66/3.35 |-The branch is then unsatisfiable % 12.66/3.35 |-Branch two: % 12.66/3.35 | (1085) all_0_37_37 = all_0_135_135 % 12.66/3.35 | (1086) ~ (all_0_38_38 = all_0_136_136) | ~ (all_0_39_39 = all_0_137_137) | ~ (all_0_40_40 = all_0_138_138) % 12.66/3.35 | % 12.66/3.35 +-Applying beta-rule and splitting (1086), into two cases. % 12.66/3.35 |-Branch one: % 12.66/3.35 | (1087) ~ (all_0_38_38 = all_0_136_136) % 12.66/3.35 | % 12.66/3.35 | Equations (1016,508) can reduce 1087 to: % 12.66/3.35 | (397) $false % 12.66/3.35 | % 12.66/3.35 |-The branch is then unsatisfiable % 12.66/3.35 |-Branch two: % 12.66/3.35 | (1089) all_0_38_38 = all_0_136_136 % 12.66/3.35 | (1090) ~ (all_0_39_39 = all_0_137_137) | ~ (all_0_40_40 = all_0_138_138) % 12.66/3.35 | % 12.66/3.35 +-Applying beta-rule and splitting (1090), into two cases. % 12.66/3.35 |-Branch one: % 12.66/3.35 | (1091) ~ (all_0_39_39 = all_0_137_137) % 12.66/3.35 | % 12.66/3.35 | Equations (1017,520) can reduce 1091 to: % 12.66/3.35 | (397) $false % 12.66/3.35 | % 12.66/3.35 |-The branch is then unsatisfiable % 12.66/3.35 |-Branch two: % 12.66/3.35 | (1093) all_0_39_39 = all_0_137_137 % 12.66/3.35 | (1094) ~ (all_0_40_40 = all_0_138_138) % 12.66/3.35 | % 12.66/3.35 | Equations (945,440) can reduce 1094 to: % 12.66/3.35 | (397) $false % 12.66/3.35 | % 12.66/3.35 |-The branch is then unsatisfiable % 12.66/3.35 |-Branch two: % 12.66/3.35 | (715) ~ (all_0_141_141 = e11) % 12.66/3.35 | (716) all_0_147_147 = e11 | all_0_150_150 = e11 % 12.66/3.35 | % 12.66/3.35 +-Applying beta-rule and splitting (109), into two cases. % 12.66/3.35 |-Branch one: % 12.66/3.35 | (632) all_0_139_139 = e11 % 12.66/3.35 | % 12.66/3.35 | Combining equations (893,632) yields a new equation: % 12.66/3.35 | (687) e11 = e10 % 12.66/3.36 | % 12.66/3.36 | Equations (687) can reduce 292 to: % 12.66/3.36 | (397) $false % 12.66/3.36 | % 12.66/3.36 |-The branch is then unsatisfiable % 12.66/3.36 |-Branch two: % 12.66/3.36 | (724) ~ (all_0_139_139 = e11) % 12.66/3.36 | (725) all_0_140_140 = e11 | all_0_141_141 = e11 % 12.66/3.36 | % 12.66/3.36 | Equations (893) can reduce 724 to: % 12.66/3.36 | (624) ~ (e11 = e10) % 12.66/3.36 | % 12.66/3.36 | Simplifying 624 yields: % 12.66/3.36 | (292) ~ (e11 = e10) % 12.66/3.36 | % 12.66/3.36 +-Applying beta-rule and splitting (716), into two cases. % 12.66/3.36 |-Branch one: % 12.66/3.36 | (717) all_0_147_147 = e11 % 12.66/3.36 | % 12.66/3.36 | Combining equations (735,717) yields a new equation: % 12.66/3.36 | (687) e11 = e10 % 12.66/3.36 | % 12.66/3.36 | Equations (687) can reduce 292 to: % 12.66/3.36 | (397) $false % 12.66/3.36 | % 12.66/3.36 |-The branch is then unsatisfiable % 12.66/3.36 |-Branch two: % 12.66/3.36 | (611) ~ (all_0_147_147 = e11) % 12.66/3.36 | (681) all_0_150_150 = e11 % 12.66/3.36 | % 12.66/3.36 | Combining equations (1010,681) yields a new equation: % 12.66/3.36 | (865) e13 = e11 % 12.66/3.36 | % 12.66/3.36 | Simplifying 865 yields: % 12.66/3.36 | (842) e13 = e11 % 12.66/3.36 | % 12.66/3.36 | Equations (842) can reduce 361 to: % 12.66/3.36 | (397) $false % 12.66/3.36 | % 12.66/3.36 |-The branch is then unsatisfiable % 12.66/3.36 |-Branch two: % 12.66/3.36 | (627) ~ (all_0_139_139 = e10) % 12.66/3.36 | (1114) all_0_145_145 = e10 | all_0_148_148 = e10 % 12.66/3.36 | % 12.66/3.36 +-Applying beta-rule and splitting (94), into two cases. % 12.66/3.36 |-Branch one: % 12.66/3.36 | (893) all_0_139_139 = e10 % 12.66/3.36 | % 12.66/3.36 | Equations (893) can reduce 627 to: % 12.66/3.36 | (397) $false % 12.66/3.36 | % 12.66/3.36 |-The branch is then unsatisfiable % 12.66/3.36 |-Branch two: % 12.66/3.36 | (627) ~ (all_0_139_139 = e10) % 12.66/3.36 | (1118) all_0_141_141 = e10 | all_0_142_142 = e10 % 12.66/3.36 | % 12.66/3.36 +-Applying beta-rule and splitting (1118), into two cases. % 12.66/3.36 |-Branch one: % 12.66/3.36 | (626) all_0_141_141 = e10 % 12.66/3.36 | % 12.66/3.36 | Equations (626) can reduce 733 to: % 12.66/3.36 | (397) $false % 12.66/3.36 | % 12.66/3.36 |-The branch is then unsatisfiable % 12.66/3.36 |-Branch two: % 12.66/3.36 | (733) ~ (all_0_141_141 = e10) % 12.66/3.36 | (749) all_0_142_142 = e10 % 12.66/3.36 | % 12.66/3.36 | Combining equations (546,749) yields a new equation: % 12.66/3.36 | (603) e12 = e10 % 12.66/3.36 | % 12.66/3.36 | Simplifying 603 yields: % 12.66/3.36 | (604) e12 = e10 % 12.66/3.36 | % 12.66/3.36 | Equations (604) can reduce 153 to: % 12.66/3.36 | (397) $false % 12.66/3.36 | % 12.66/3.36 |-The branch is then unsatisfiable % 12.66/3.36 |-Branch two: % 12.66/3.36 | (1126) ~ (all_0_150_150 = e13) % 12.66/3.36 | (738) all_0_150_150 = e10 % 12.66/3.36 | % 12.66/3.36 | Equations (738) can reduce 560 to: % 12.66/3.36 | (397) $false % 12.66/3.36 | % 12.66/3.36 |-The branch is then unsatisfiable % 12.66/3.36 |-Branch two: % 12.66/3.36 | (613) ~ (all_0_149_149 = e11) % 12.66/3.36 | (708) all_0_149_149 = e13 % 12.66/3.36 | % 12.66/3.36 | Equations (708) can reduce 667 to: % 12.66/3.36 | (397) $false % 12.66/3.36 | % 12.66/3.36 |-The branch is then unsatisfiable % 12.66/3.36 |-Branch two: % 12.66/3.36 | (545) ~ (all_0_148_148 = e12) % 12.66/3.36 | (592) all_0_149_149 = e12 | all_0_150_150 = e12 | all_0_151_151 = e12 % 12.66/3.36 | % 12.66/3.36 +-Applying beta-rule and splitting (592), into two cases. % 12.66/3.36 |-Branch one: % 12.66/3.36 | (593) all_0_149_149 = e12 % 12.66/3.36 | % 12.66/3.36 | Equations (593) can reduce 586 to: % 12.66/3.36 | (397) $false % 12.66/3.36 | % 12.66/3.36 |-The branch is then unsatisfiable % 12.66/3.36 |-Branch two: % 12.66/3.36 | (586) ~ (all_0_149_149 = e12) % 12.66/3.36 | (596) all_0_150_150 = e12 | all_0_151_151 = e12 % 12.66/3.36 | % 12.66/3.36 +-Applying beta-rule and splitting (596), into two cases. % 12.66/3.36 |-Branch one: % 12.66/3.36 | (597) all_0_150_150 = e12 % 12.66/3.36 | % 12.66/3.36 | Equations (597) can reduce 601 to: % 12.66/3.36 | (397) $false % 12.66/3.36 | % 12.66/3.36 |-The branch is then unsatisfiable % 12.66/3.36 |-Branch two: % 12.66/3.36 | (601) ~ (all_0_150_150 = e12) % 12.66/3.36 | (554) all_0_151_151 = e12 % 12.66/3.36 | % 12.66/3.36 | Combining equations (557,554) yields a new equation: % 12.66/3.36 | (604) e12 = e10 % 12.66/3.36 | % 12.66/3.36 | Equations (604) can reduce 153 to: % 12.66/3.36 | (397) $false % 12.66/3.36 | % 12.66/3.36 |-The branch is then unsatisfiable % 12.66/3.36 |-Branch two: % 12.66/3.36 | (606) ~ (all_0_146_146 = e12) % 12.66/3.36 | (607) all_0_146_146 = e11 % 12.66/3.36 | % 12.66/3.36 | Equations (607) can reduce 301 to: % 12.66/3.36 | (610) ~ (all_0_147_147 = e11) % 12.66/3.36 | % 12.66/3.36 | Simplifying 610 yields: % 12.66/3.36 | (611) ~ (all_0_147_147 = e11) % 12.66/3.36 | % 12.66/3.36 | Equations (607) can reduce 248 to: % 12.66/3.36 | (612) ~ (all_0_149_149 = e11) % 12.66/3.36 | % 12.66/3.36 | Simplifying 612 yields: % 12.66/3.36 | (613) ~ (all_0_149_149 = e11) % 12.66/3.36 | % 12.66/3.36 | Equations (607) can reduce 606 to: % 12.66/3.36 | (637) ~ (e12 = e11) % 12.66/3.36 | % 12.66/3.36 | Simplifying 637 yields: % 12.66/3.36 | (309) ~ (e12 = e11) % 12.66/3.36 | % 12.66/3.36 +-Applying beta-rule and splitting (176), into two cases. % 12.66/3.36 |-Branch one: % 12.66/3.36 | (614) all_0_145_145 = e12 % 12.66/3.36 | % 12.66/3.36 | Equations (614) can reduce 251 to: % 12.66/3.36 | (912) ~ (all_0_147_147 = e12) % 12.66/3.36 | % 12.66/3.36 | Simplifying 912 yields: % 12.66/3.36 | (913) ~ (all_0_147_147 = e12) % 12.66/3.36 | % 12.66/3.36 | Equations (614) can reduce 218 to: % 12.66/3.36 | (544) ~ (all_0_148_148 = e12) % 12.66/3.36 | % 12.66/3.36 | Simplifying 544 yields: % 12.66/3.36 | (545) ~ (all_0_148_148 = e12) % 12.66/3.36 | % 12.66/3.36 | Equations (614) can reduce 89 to: % 12.66/3.36 | (1157) ~ (e13 = e12) % 12.66/3.36 | % 12.66/3.36 | Simplifying 1157 yields: % 12.66/3.36 | (286) ~ (e13 = e12) % 12.66/3.36 | % 12.66/3.36 | From (614) and (372) follows: % 12.66/3.36 | (1159) op1(e11, e13) = e12 % 12.66/3.36 | % 12.66/3.36 +-Applying beta-rule and splitting (42), into two cases. % 12.66/3.36 |-Branch one: % 12.66/3.37 | (589) all_0_148_148 = e12 % 12.66/3.37 | % 12.66/3.37 | Equations (589) can reduce 545 to: % 12.66/3.37 | (397) $false % 12.66/3.37 | % 12.66/3.37 |-The branch is then unsatisfiable % 12.66/3.37 |-Branch two: % 12.66/3.37 | (545) ~ (all_0_148_148 = e12) % 12.66/3.37 | (592) all_0_149_149 = e12 | all_0_150_150 = e12 | all_0_151_151 = e12 % 12.66/3.37 | % 12.66/3.37 +-Applying beta-rule and splitting (592), into two cases. % 12.66/3.37 |-Branch one: % 12.66/3.37 | (593) all_0_149_149 = e12 % 12.66/3.37 | % 12.66/3.37 | Equations (593) can reduce 236 to: % 12.66/3.37 | (548) ~ (all_0_140_140 = e12) % 12.66/3.37 | % 12.66/3.37 | Equations (593) can reduce 613 to: % 12.66/3.37 | (309) ~ (e12 = e11) % 12.66/3.37 | % 12.66/3.37 | Equations (593) can reduce 141 to: % 12.66/3.37 | (153) ~ (e12 = e10) % 12.66/3.37 | % 12.66/3.37 | From (593) and (582) follows: % 12.66/3.37 | (672) op1(e12, e12) = e12 % 12.66/3.37 | % 12.66/3.37 +-Applying beta-rule and splitting (348), into two cases. % 12.66/3.37 |-Branch one: % 12.66/3.37 | (665) all_0_140_140 = e13 % 12.66/3.37 | % 12.66/3.37 | Equations (665) can reduce 548 to: % 12.66/3.37 | (286) ~ (e13 = e12) % 12.66/3.37 | % 12.66/3.37 +-Applying beta-rule and splitting (300), into two cases. % 12.66/3.37 |-Branch one: % 12.66/3.37 | (621) all_0_145_145 = e10 % 12.66/3.37 | % 12.66/3.37 | Combining equations (621,614) yields a new equation: % 12.66/3.37 | (604) e12 = e10 % 12.66/3.37 | % 12.66/3.37 | Equations (604) can reduce 153 to: % 12.66/3.37 | (397) $false % 12.66/3.37 | % 12.66/3.37 |-The branch is then unsatisfiable % 12.66/3.37 |-Branch two: % 12.66/3.37 | (771) ~ (all_0_145_145 = e10) % 12.66/3.37 | (735) all_0_147_147 = e10 % 12.66/3.37 | % 12.66/3.37 | Equations (735) can reduce 44 to: % 12.66/3.37 | (733) ~ (all_0_141_141 = e10) % 12.66/3.37 | % 12.66/3.37 | Equations (735) can reduce 913 to: % 12.66/3.37 | (630) ~ (e12 = e10) % 12.66/3.37 | % 12.66/3.37 | Simplifying 630 yields: % 12.66/3.37 | (153) ~ (e12 = e10) % 12.66/3.37 | % 12.66/3.37 | Equations (735) can reduce 611 to: % 12.66/3.37 | (624) ~ (e11 = e10) % 12.66/3.37 | % 12.66/3.37 | Simplifying 624 yields: % 12.66/3.37 | (292) ~ (e11 = e10) % 12.66/3.37 | % 12.66/3.37 +-Applying beta-rule and splitting (183), into two cases. % 12.66/3.37 |-Branch one: % 12.66/3.37 | (1181) all_0_148_148 = e13 % 12.66/3.37 | % 12.66/3.37 | Equations (1181) can reduce 921 to: % 12.66/3.37 | (397) $false % 12.66/3.37 | % 12.66/3.37 |-The branch is then unsatisfiable % 12.66/3.37 |-Branch two: % 12.66/3.37 | (921) ~ (all_0_148_148 = e13) % 12.66/3.37 | (1184) all_0_149_149 = e13 | all_0_150_150 = e13 % 12.66/3.37 | % 12.66/3.37 +-Applying beta-rule and splitting (1184), into two cases. % 12.66/3.37 |-Branch one: % 12.66/3.37 | (708) all_0_149_149 = e13 % 12.66/3.37 | % 12.66/3.37 | Combining equations (593,708) yields a new equation: % 12.66/3.37 | (840) e13 = e12 % 12.66/3.37 | % 12.66/3.37 | Equations (840) can reduce 286 to: % 12.66/3.37 | (397) $false % 12.66/3.37 | % 12.66/3.37 |-The branch is then unsatisfiable % 12.66/3.37 |-Branch two: % 12.66/3.37 | (667) ~ (all_0_149_149 = e13) % 12.66/3.37 | (1010) all_0_150_150 = e13 % 12.66/3.37 | % 12.66/3.37 | Equations (1010) can reduce 291 to: % 12.66/3.37 | (921) ~ (all_0_148_148 = e13) % 12.66/3.37 | % 12.66/3.37 | From (1010) and (583) follows: % 12.66/3.37 | (1011) op1(e11, e13) = e11 % 12.66/3.37 | % 12.66/3.37 +-Applying beta-rule and splitting (64), into two cases. % 12.66/3.37 |-Branch one: % 12.66/3.37 | (673) all_0_148_148 = e11 % 12.66/3.37 | % 12.66/3.37 | Equations (673) can reduce 199 to: % 12.66/3.37 | (724) ~ (all_0_139_139 = e11) % 12.66/3.37 | % 12.66/3.37 | Equations (673) can reduce 921 to: % 12.66/3.37 | (1020) ~ (e13 = e11) % 12.66/3.37 | % 12.66/3.37 | Simplifying 1020 yields: % 12.66/3.37 | (361) ~ (e13 = e11) % 12.66/3.37 | % 12.66/3.37 +-Applying beta-rule and splitting (17), into two cases. % 12.66/3.37 |-Branch one: % 12.66/3.37 | (712) all_0_141_141 = e11 % 12.66/3.37 | % 12.66/3.37 | Equations (712) can reduce 359 to: % 12.66/3.37 | (724) ~ (all_0_139_139 = e11) % 12.66/3.37 | % 12.66/3.37 | Equations (712) can reduce 733 to: % 12.66/3.37 | (292) ~ (e11 = e10) % 12.66/3.37 | % 12.66/3.37 +-Applying beta-rule and splitting (94), into two cases. % 12.66/3.37 |-Branch one: % 12.66/3.37 | (893) all_0_139_139 = e10 % 12.66/3.37 | % 12.66/3.37 | Equations (893) can reduce 724 to: % 12.66/3.37 | (624) ~ (e11 = e10) % 12.66/3.37 | % 12.66/3.37 | Simplifying 624 yields: % 12.66/3.37 | (292) ~ (e11 = e10) % 12.66/3.37 | % 12.66/3.37 | Instantiating formula (336) with e12, e12, e12, e10 and discharging atoms op1(e12, e12) = e12, op1(e12, e12) = e10, yields: % 12.66/3.37 | (604) e12 = e10 % 12.66/3.37 | % 12.66/3.37 | Instantiating formula (336) with e11, e13, e11, e12 and discharging atoms op1(e11, e13) = e12, op1(e11, e13) = e11, yields: % 12.66/3.37 | (599) e12 = e11 % 12.66/3.37 | % 12.66/3.37 | Combining equations (604,599) yields a new equation: % 12.66/3.37 | (687) e11 = e10 % 12.66/3.37 | % 12.66/3.37 | Equations (687) can reduce 292 to: % 12.66/3.37 | (397) $false % 12.66/3.37 | % 12.66/3.37 |-The branch is then unsatisfiable % 12.66/3.37 |-Branch two: % 12.66/3.37 | (627) ~ (all_0_139_139 = e10) % 12.66/3.37 | (1118) all_0_141_141 = e10 | all_0_142_142 = e10 % 12.66/3.37 | % 12.66/3.37 +-Applying beta-rule and splitting (335), into two cases. % 12.66/3.37 |-Branch one: % 12.66/3.37 | (893) all_0_139_139 = e10 % 12.66/3.37 | % 12.66/3.37 | Equations (893) can reduce 627 to: % 12.66/3.37 | (397) $false % 12.66/3.37 | % 12.66/3.37 |-The branch is then unsatisfiable % 12.66/3.37 |-Branch two: % 12.66/3.37 | (627) ~ (all_0_139_139 = e10) % 12.66/3.37 | (1114) all_0_145_145 = e10 | all_0_148_148 = e10 % 12.66/3.37 | % 12.66/3.37 +-Applying beta-rule and splitting (1114), into two cases. % 12.66/3.37 |-Branch one: % 12.66/3.37 | (621) all_0_145_145 = e10 % 12.66/3.37 | % 12.66/3.37 | Combining equations (621,614) yields a new equation: % 12.66/3.37 | (604) e12 = e10 % 12.66/3.37 | % 12.66/3.37 | Equations (604) can reduce 153 to: % 12.66/3.37 | (397) $false % 12.66/3.37 | % 12.66/3.37 |-The branch is then unsatisfiable % 12.66/3.37 |-Branch two: % 12.66/3.37 | (771) ~ (all_0_145_145 = e10) % 12.66/3.37 | (575) all_0_148_148 = e10 % 12.66/3.37 | % 12.66/3.37 | Combining equations (673,575) yields a new equation: % 12.66/3.37 | (686) e11 = e10 % 12.66/3.37 | % 12.66/3.37 | Simplifying 686 yields: % 12.66/3.37 | (687) e11 = e10 % 12.66/3.37 | % 12.66/3.37 | Equations (687) can reduce 292 to: % 12.66/3.37 | (397) $false % 12.66/3.37 | % 12.66/3.37 |-The branch is then unsatisfiable % 12.66/3.37 |-Branch two: % 12.66/3.37 | (715) ~ (all_0_141_141 = e11) % 12.66/3.37 | (716) all_0_147_147 = e11 | all_0_150_150 = e11 % 12.66/3.37 | % 12.66/3.37 +-Applying beta-rule and splitting (109), into two cases. % 12.66/3.37 |-Branch one: % 12.66/3.37 | (632) all_0_139_139 = e11 % 12.66/3.37 | % 12.66/3.37 | Equations (632) can reduce 724 to: % 12.66/3.37 | (397) $false % 12.66/3.37 | % 12.66/3.37 |-The branch is then unsatisfiable % 12.66/3.37 |-Branch two: % 12.66/3.37 | (724) ~ (all_0_139_139 = e11) % 12.66/3.38 | (725) all_0_140_140 = e11 | all_0_141_141 = e11 % 12.66/3.38 | % 12.66/3.38 +-Applying beta-rule and splitting (725), into two cases. % 12.66/3.38 |-Branch one: % 12.66/3.38 | (662) all_0_140_140 = e11 % 12.66/3.38 | % 12.66/3.38 | Combining equations (665,662) yields a new equation: % 12.66/3.38 | (865) e13 = e11 % 12.66/3.38 | % 12.66/3.38 | Simplifying 865 yields: % 12.66/3.38 | (842) e13 = e11 % 12.66/3.38 | % 12.66/3.38 | Equations (842) can reduce 361 to: % 12.66/3.38 | (397) $false % 12.66/3.38 | % 12.66/3.38 |-The branch is then unsatisfiable % 12.66/3.38 |-Branch two: % 12.66/3.38 | (608) ~ (all_0_140_140 = e11) % 12.66/3.38 | (712) all_0_141_141 = e11 % 12.66/3.38 | % 12.66/3.38 | Equations (712) can reduce 715 to: % 12.66/3.38 | (397) $false % 12.66/3.38 | % 12.66/3.38 |-The branch is then unsatisfiable % 12.66/3.38 |-Branch two: % 12.66/3.38 | (636) ~ (all_0_148_148 = e11) % 12.66/3.38 | (676) all_0_149_149 = e11 | all_0_150_150 = e11 % 12.66/3.38 | % 12.66/3.38 +-Applying beta-rule and splitting (253), into two cases. % 12.66/3.38 |-Branch one: % 12.66/3.38 | (632) all_0_139_139 = e11 % 12.66/3.38 | % 12.66/3.38 +-Applying beta-rule and splitting (94), into two cases. % 12.66/3.38 |-Branch one: % 12.66/3.38 | (893) all_0_139_139 = e10 % 12.66/3.38 | % 12.66/3.38 | Combining equations (632,893) yields a new equation: % 12.66/3.38 | (686) e11 = e10 % 12.66/3.38 | % 12.66/3.38 | Simplifying 686 yields: % 12.66/3.38 | (687) e11 = e10 % 12.66/3.38 | % 12.66/3.38 | Equations (687) can reduce 292 to: % 12.66/3.38 | (397) $false % 12.66/3.38 | % 12.66/3.38 |-The branch is then unsatisfiable % 12.66/3.38 |-Branch two: % 12.66/3.38 | (627) ~ (all_0_139_139 = e10) % 12.66/3.38 | (1118) all_0_141_141 = e10 | all_0_142_142 = e10 % 12.66/3.38 | % 12.66/3.38 +-Applying beta-rule and splitting (1118), into two cases. % 12.66/3.38 |-Branch one: % 12.66/3.38 | (626) all_0_141_141 = e10 % 12.66/3.38 | % 12.66/3.38 | Equations (626) can reduce 733 to: % 12.66/3.38 | (397) $false % 12.66/3.38 | % 12.66/3.38 |-The branch is then unsatisfiable % 12.66/3.38 |-Branch two: % 12.66/3.38 | (733) ~ (all_0_141_141 = e10) % 12.66/3.38 | (749) all_0_142_142 = e10 % 12.66/3.38 | % 12.66/3.38 | Combining equations (546,749) yields a new equation: % 12.66/3.38 | (603) e12 = e10 % 12.66/3.38 | % 12.66/3.38 | Simplifying 603 yields: % 12.66/3.38 | (604) e12 = e10 % 12.66/3.38 | % 12.66/3.38 | Equations (604) can reduce 153 to: % 12.66/3.38 | (397) $false % 12.66/3.38 | % 12.66/3.38 |-The branch is then unsatisfiable % 12.66/3.38 |-Branch two: % 12.66/3.38 | (724) ~ (all_0_139_139 = e11) % 12.66/3.38 | (1250) all_0_145_145 = e11 | all_0_148_148 = e11 % 12.66/3.38 | % 12.66/3.38 +-Applying beta-rule and splitting (1250), into two cases. % 12.66/3.38 |-Branch one: % 12.66/3.38 | (618) all_0_145_145 = e11 % 12.66/3.38 | % 12.66/3.38 | Combining equations (618,614) yields a new equation: % 12.66/3.38 | (599) e12 = e11 % 12.66/3.38 | % 12.66/3.38 | Equations (599) can reduce 309 to: % 12.66/3.38 | (397) $false % 12.66/3.38 | % 12.66/3.38 |-The branch is then unsatisfiable % 12.66/3.38 |-Branch two: % 12.66/3.38 | (609) ~ (all_0_145_145 = e11) % 12.66/3.38 | (673) all_0_148_148 = e11 % 12.66/3.38 | % 12.66/3.38 | Equations (673) can reduce 636 to: % 12.66/3.38 | (397) $false % 12.66/3.38 | % 12.66/3.38 |-The branch is then unsatisfiable % 12.66/3.38 |-Branch two: % 12.66/3.38 | (808) ~ (all_0_140_140 = e13) % 12.66/3.38 | (708) all_0_149_149 = e13 % 12.66/3.38 | % 12.66/3.38 | Combining equations (593,708) yields a new equation: % 12.66/3.38 | (840) e13 = e12 % 12.66/3.38 | % 12.66/3.38 | Equations (840) can reduce 286 to: % 12.66/3.38 | (397) $false % 12.66/3.38 | % 12.66/3.38 |-The branch is then unsatisfiable % 12.66/3.38 |-Branch two: % 12.66/3.38 | (586) ~ (all_0_149_149 = e12) % 12.66/3.38 | (596) all_0_150_150 = e12 | all_0_151_151 = e12 % 12.66/3.38 | % 12.66/3.38 +-Applying beta-rule and splitting (596), into two cases. % 12.66/3.38 |-Branch one: % 12.66/3.38 | (597) all_0_150_150 = e12 % 12.66/3.38 | % 12.66/3.38 | Equations (597) can reduce 601 to: % 12.66/3.38 | (397) $false % 12.66/3.38 | % 12.66/3.38 |-The branch is then unsatisfiable % 12.66/3.38 |-Branch two: % 12.66/3.38 | (601) ~ (all_0_150_150 = e12) % 12.66/3.38 | (554) all_0_151_151 = e12 % 12.66/3.38 | % 12.66/3.38 | Combining equations (557,554) yields a new equation: % 12.66/3.38 | (604) e12 = e10 % 12.66/3.38 | % 12.66/3.38 | Equations (604) can reduce 153 to: % 12.66/3.38 | (397) $false % 12.66/3.38 | % 12.66/3.38 |-The branch is then unsatisfiable % 12.66/3.38 |-Branch two: % 12.66/3.38 | (543) ~ (all_0_145_145 = e12) % 12.66/3.38 | (648) all_0_146_146 = e12 | all_0_147_147 = e12 % 12.66/3.38 | % 12.66/3.38 +-Applying beta-rule and splitting (648), into two cases. % 12.66/3.38 |-Branch one: % 12.66/3.38 | (584) all_0_146_146 = e12 % 12.66/3.38 | % 12.66/3.38 | Combining equations (607,584) yields a new equation: % 12.66/3.38 | (599) e12 = e11 % 12.66/3.38 | % 12.66/3.38 | Equations (599) can reduce 309 to: % 12.66/3.38 | (397) $false % 12.66/3.38 | % 12.66/3.38 |-The branch is then unsatisfiable % 12.66/3.38 |-Branch two: % 12.66/3.38 | (606) ~ (all_0_146_146 = e12) % 12.66/3.38 | (653) all_0_147_147 = e12 % 12.66/3.38 | % 12.66/3.38 | Equations (653) can reduce 913 to: % 12.66/3.38 | (397) $false % 12.66/3.38 | % 12.66/3.38 |-The branch is then unsatisfiable % 12.66/3.38 |-Branch two: % 12.66/3.38 | (740) ~ (all_0_142_142 = e12) % 12.66/3.38 | (554) all_0_151_151 = e12 % 12.66/3.38 | % 12.66/3.38 | Equations (554) can reduce 97 to: % 12.66/3.38 | (740) ~ (all_0_142_142 = e12) % 12.66/3.38 | % 12.66/3.38 | From (554) and (101) follows: % 12.66/3.38 | (744) op1(e10, e12) = all_0_125_125 % 12.66/3.38 | % 12.66/3.38 | From (554) and (263) follows: % 12.66/3.38 | (745) op1(e10, e10) = e12 % 12.66/3.38 | % 12.66/3.38 +-Applying beta-rule and splitting (319), into two cases. % 12.66/3.38 |-Branch one: % 12.66/3.38 | (546) all_0_142_142 = e12 % 12.66/3.38 | % 12.66/3.38 | Equations (546) can reduce 740 to: % 12.66/3.38 | (397) $false % 12.66/3.38 | % 12.66/3.38 |-The branch is then unsatisfiable % 12.66/3.38 |-Branch two: % 12.66/3.38 | (740) ~ (all_0_142_142 = e12) % 12.66/3.38 | (749) all_0_142_142 = e10 % 12.66/3.38 | % 12.66/3.38 | Equations (749) can reduce 740 to: % 12.66/3.38 | (630) ~ (e12 = e10) % 12.66/3.38 | % 12.66/3.38 | Simplifying 630 yields: % 12.66/3.38 | (153) ~ (e12 = e10) % 12.66/3.38 | % 12.66/3.38 | From (749) and (294) follows: % 12.66/3.38 | (753) op1(e10, e10) = all_0_116_116 % 12.66/3.39 | % 12.66/3.39 | Instantiating formula (336) with e10, e12, all_0_125_125, all_0_149_149 and discharging atoms op1(e10, e12) = all_0_125_125, op1(e10, e12) = all_0_149_149, yields: % 12.66/3.39 | (754) all_0_125_125 = all_0_149_149 % 12.66/3.39 | % 12.66/3.39 | Instantiating formula (336) with e10, e10, e12, all_0_116_116 and discharging atoms op1(e10, e10) = all_0_116_116, op1(e10, e10) = e12, yields: % 12.66/3.39 | (755) all_0_116_116 = e12 % 12.66/3.39 | % 12.66/3.39 +-Applying beta-rule and splitting (258), into two cases. % 12.66/3.39 |-Branch one: % 12.66/3.39 | (562) (all_0_113_113 = e13 & all_0_114_114 = e12 & all_0_115_115 = e11 & all_0_116_116 = e10) | (all_0_119_119 = e13 & all_0_120_120 = e12 & all_0_121_121 = e11 & all_0_148_148 = e10) % 12.66/3.39 | % 12.66/3.39 +-Applying beta-rule and splitting (562), into two cases. % 12.66/3.39 |-Branch one: % 12.66/3.39 | (563) all_0_113_113 = e13 & all_0_114_114 = e12 & all_0_115_115 = e11 & all_0_116_116 = e10 % 12.66/3.39 | % 12.66/3.39 | Applying alpha-rule on (563) yields: % 12.66/3.39 | (564) all_0_113_113 = e13 % 12.66/3.39 | (565) all_0_114_114 = e12 % 12.66/3.39 | (566) all_0_115_115 = e11 % 12.66/3.39 | (567) all_0_116_116 = e10 % 12.66/3.39 | % 12.66/3.39 | Combining equations (755,567) yields a new equation: % 12.66/3.39 | (603) e12 = e10 % 12.66/3.39 | % 12.66/3.39 | Simplifying 603 yields: % 12.66/3.39 | (604) e12 = e10 % 12.66/3.39 | % 12.66/3.39 | Equations (604) can reduce 153 to: % 12.66/3.39 | (397) $false % 12.66/3.39 | % 12.66/3.39 |-The branch is then unsatisfiable % 12.66/3.39 |-Branch two: % 12.66/3.39 | (571) all_0_119_119 = e13 & all_0_120_120 = e12 & all_0_121_121 = e11 & all_0_148_148 = e10 % 12.66/3.39 | % 12.66/3.39 | Applying alpha-rule on (571) yields: % 12.66/3.39 | (572) all_0_119_119 = e13 % 12.66/3.39 | (573) all_0_120_120 = e12 % 12.66/3.39 | (574) all_0_121_121 = e11 % 12.66/3.39 | (575) all_0_148_148 = e10 % 12.66/3.39 | % 12.66/3.39 | Equations (575) can reduce 218 to: % 12.66/3.39 | (771) ~ (all_0_145_145 = e10) % 12.66/3.39 | % 12.66/3.39 | From (574) and (304) follows: % 12.66/3.39 | (776) op1(e11, all_0_147_147) = e11 % 12.66/3.39 | % 12.66/3.39 +-Applying beta-rule and splitting (300), into two cases. % 12.66/3.39 |-Branch one: % 12.66/3.39 | (621) all_0_145_145 = e10 % 12.66/3.39 | % 12.66/3.39 | Equations (621) can reduce 771 to: % 12.66/3.39 | (397) $false % 12.66/3.39 | % 12.66/3.39 |-The branch is then unsatisfiable % 12.66/3.39 |-Branch two: % 12.66/3.39 | (771) ~ (all_0_145_145 = e10) % 12.66/3.39 | (735) all_0_147_147 = e10 % 12.66/3.39 | % 12.66/3.39 | From (735) and (776) follows: % 12.66/3.39 | (785) op1(e11, e10) = e11 % 12.66/3.39 | % 12.66/3.39 | Instantiating formula (336) with e11, e10, e11, e13 and discharging atoms op1(e11, e10) = e13, op1(e11, e10) = e11, yields: % 12.66/3.39 | (842) e13 = e11 % 12.66/3.39 | % 12.66/3.39 | Equations (842) can reduce 361 to: % 12.66/3.39 | (397) $false % 12.66/3.39 | % 12.66/3.39 |-The branch is then unsatisfiable % 12.66/3.39 |-Branch two: % 12.66/3.39 | (577) all_0_122_122 = e13 & all_0_123_123 = e12 & all_0_124_124 = e11 & all_0_125_125 = e10 % 12.66/3.39 | % 12.66/3.39 | Applying alpha-rule on (577) yields: % 12.66/3.39 | (578) all_0_122_122 = e13 % 12.66/3.39 | (579) all_0_123_123 = e12 % 12.66/3.39 | (580) all_0_124_124 = e11 % 12.66/3.39 | (581) all_0_125_125 = e10 % 12.66/3.39 | % 12.66/3.39 | Combining equations (754,581) yields a new equation: % 12.66/3.39 | (568) all_0_149_149 = e10 % 12.66/3.39 | % 12.66/3.39 | Simplifying 568 yields: % 12.66/3.39 | (569) all_0_149_149 = e10 % 12.66/3.39 | % 12.66/3.39 | Equations (569) can reduce 141 to: % 12.66/3.39 | (397) $false % 12.66/3.39 | % 12.66/3.39 |-The branch is then unsatisfiable % 12.66/3.39 |-Branch two: % 12.66/3.39 | (1322) ~ (all_0_143_143 = e13) % 12.66/3.39 | (1323) all_0_144_144 = e13 % 12.66/3.39 | % 12.66/3.39 | Combining equations (911,1323) yields a new equation: % 12.66/3.39 | (840) e13 = e12 % 12.66/3.39 | % 12.66/3.39 | Equations (840) can reduce 286 to: % 12.66/3.39 | (397) $false % 12.66/3.39 | % 12.66/3.39 |-The branch is then unsatisfiable % 12.66/3.39 |-Branch two: % 12.66/3.39 | (1326) ~ (all_0_128_128 = e21) % 12.66/3.39 | (1327) all_0_134_134 = e21 | all_0_137_137 = e21 % 12.66/3.39 | % 12.66/3.39 +-Applying beta-rule and splitting (538), into two cases. % 12.66/3.39 |-Branch one: % 12.66/3.39 | (499) all_0_127_127 = e21 % 12.66/3.39 | % 12.66/3.39 | Combining equations (497,499) yields a new equation: % 12.66/3.39 | (1329) e23 = e21 % 12.66/3.39 | % 12.66/3.39 | Simplifying 1329 yields: % 12.66/3.39 | (430) e23 = e21 % 12.66/3.39 | % 12.66/3.39 | Equations (430) can reduce 277 to: % 12.66/3.39 | (397) $false % 12.66/3.39 | % 12.66/3.39 |-The branch is then unsatisfiable % 12.66/3.39 |-Branch two: % 12.66/3.39 | (502) ~ (all_0_127_127 = e21) % 12.66/3.39 | (539) all_0_128_128 = e21 % 12.66/3.39 | % 12.66/3.39 | Equations (539) can reduce 1326 to: % 12.66/3.39 | (397) $false % 12.66/3.39 | % 12.66/3.39 |-The branch is then unsatisfiable % 12.66/3.39 |-Branch two: % 12.66/3.39 | (1335) ~ (all_0_126_126 = e20) % 12.66/3.39 | (1336) all_0_128_128 = e20 | all_0_129_129 = e20 % 12.66/3.39 | % 12.66/3.39 +-Applying beta-rule and splitting (55), into two cases. % 12.66/3.39 |-Branch one: % 12.66/3.39 | (1337) all_0_126_126 = e22 % 12.66/3.39 | % 12.66/3.39 | Equations (1337) can reduce 493 to: % 12.66/3.39 | (397) $false % 12.66/3.39 | % 12.66/3.39 |-The branch is then unsatisfiable % 12.66/3.39 |-Branch two: % 12.66/3.39 | (493) ~ (all_0_126_126 = e22) % 12.66/3.39 | (1340) all_0_126_126 = e23 | all_0_126_126 = e21 | all_0_126_126 = e20 % 12.66/3.39 | % 12.66/3.39 +-Applying beta-rule and splitting (1340), into two cases. % 12.66/3.39 |-Branch one: % 12.66/3.39 | (534) all_0_126_126 = e21 % 12.66/3.39 | % 12.66/3.39 | Equations (534) can reduce 523 to: % 12.66/3.39 | (397) $false % 12.66/3.39 | % 12.66/3.39 |-The branch is then unsatisfiable % 12.66/3.39 |-Branch two: % 12.66/3.39 | (523) ~ (all_0_126_126 = e21) % 12.66/3.39 | (1344) all_0_126_126 = e23 | all_0_126_126 = e20 % 12.66/3.39 | % 12.66/3.39 +-Applying beta-rule and splitting (1344), into two cases. % 12.66/3.39 |-Branch one: % 12.66/3.39 | (1345) all_0_126_126 = e23 % 12.66/3.39 | % 12.66/3.39 | Equations (1345) can reduce 498 to: % 12.66/3.39 | (397) $false % 12.66/3.39 | % 12.66/3.39 |-The branch is then unsatisfiable % 12.66/3.39 |-Branch two: % 12.66/3.39 | (498) ~ (all_0_126_126 = e23) % 12.66/3.39 | (531) all_0_126_126 = e20 % 12.66/3.39 | % 12.66/3.39 | Equations (531) can reduce 1335 to: % 12.66/3.39 | (397) $false % 12.66/3.39 | % 12.66/3.39 |-The branch is then unsatisfiable % 12.66/3.40 |-Branch two: % 12.66/3.40 | (1350) ~ (all_0_137_137 = e23) % 12.66/3.40 | (1351) all_0_137_137 = e20 % 12.66/3.40 | % 12.66/3.40 | Equations (1351) can reduce 443 to: % 12.66/3.40 | (397) $false % 12.66/3.40 | % 12.66/3.40 |-The branch is then unsatisfiable % 12.66/3.40 |-Branch two: % 12.66/3.40 | (1353) ~ (all_0_135_135 = e22) % 12.66/3.40 | (1354) all_0_136_136 = e22 | all_0_137_137 = e22 | all_0_138_138 = e22 % 12.66/3.40 | % 12.66/3.40 +-Applying beta-rule and splitting (161), into two cases. % 12.66/3.40 |-Branch one: % 12.66/3.40 | (492) all_0_135_135 = e22 % 12.66/3.40 | % 12.66/3.40 | Equations (492) can reduce 1353 to: % 12.66/3.40 | (397) $false % 12.66/3.40 | % 12.66/3.40 |-The branch is then unsatisfiable % 12.66/3.40 |-Branch two: % 12.66/3.40 | (1353) ~ (all_0_135_135 = e22) % 12.66/3.40 | (1358) all_0_135_135 = e23 | all_0_135_135 = e21 | all_0_135_135 = e20 % 12.66/3.40 | % 12.66/3.40 +-Applying beta-rule and splitting (1358), into two cases. % 12.66/3.40 |-Branch one: % 12.66/3.40 | (1359) all_0_135_135 = e21 % 12.66/3.40 | % 12.66/3.40 | Equations (1359) can reduce 186 to: % 12.66/3.40 | (1360) ~ (all_0_132_132 = e21) % 12.66/3.40 | % 12.66/3.40 | Equations (1359) can reduce 355 to: % 12.66/3.40 | (1361) ~ (all_0_136_136 = e21) % 12.66/3.40 | % 12.66/3.40 | Simplifying 1361 yields: % 12.66/3.40 | (1362) ~ (all_0_136_136 = e21) % 12.66/3.40 | % 12.66/3.40 | Equations (1359) can reduce 486 to: % 12.66/3.40 | (524) ~ (e23 = e21) % 12.66/3.40 | % 12.66/3.40 | Simplifying 524 yields: % 12.66/3.40 | (277) ~ (e23 = e21) % 12.66/3.40 | % 12.66/3.40 | Equations (1359) can reduce 1353 to: % 12.66/3.40 | (1365) ~ (e22 = e21) % 12.66/3.40 | % 12.66/3.40 | Simplifying 1365 yields: % 12.66/3.40 | (247) ~ (e22 = e21) % 12.66/3.40 | % 12.66/3.40 +-Applying beta-rule and splitting (206), into two cases. % 12.66/3.40 |-Branch one: % 12.66/3.40 | (1367) all_0_132_132 = e22 % 12.66/3.40 | % 12.66/3.40 | Equations (1367) can reduce 489 to: % 12.66/3.40 | (397) $false % 12.66/3.40 | % 12.66/3.40 |-The branch is then unsatisfiable % 12.66/3.40 |-Branch two: % 12.66/3.40 | (489) ~ (all_0_132_132 = e22) % 12.66/3.40 | (1370) all_0_132_132 = e21 | all_0_132_132 = e20 % 12.66/3.40 | % 12.66/3.40 +-Applying beta-rule and splitting (1370), into two cases. % 12.66/3.40 |-Branch one: % 12.66/3.40 | (522) all_0_132_132 = e21 % 12.66/3.40 | % 12.66/3.40 | Equations (522) can reduce 1360 to: % 12.66/3.40 | (397) $false % 12.66/3.40 | % 12.66/3.40 |-The branch is then unsatisfiable % 12.66/3.40 |-Branch two: % 12.66/3.40 | (1360) ~ (all_0_132_132 = e21) % 12.66/3.40 | (422) all_0_132_132 = e20 % 12.66/3.40 | % 12.66/3.40 | Equations (422) can reduce 489 to: % 12.66/3.40 | (400) ~ (e22 = e20) % 12.66/3.40 | % 12.66/3.40 | Simplifying 400 yields: % 12.66/3.40 | (113) ~ (e22 = e20) % 12.66/3.40 | % 12.66/3.40 +-Applying beta-rule and splitting (14), into two cases. % 12.66/3.40 |-Branch one: % 12.66/3.40 | (499) all_0_127_127 = e21 % 12.66/3.40 | % 12.66/3.40 +-Applying beta-rule and splitting (273), into two cases. % 12.66/3.40 |-Branch one: % 12.66/3.40 | (497) all_0_127_127 = e23 % 12.66/3.40 | % 12.66/3.40 | Combining equations (497,499) yields a new equation: % 12.66/3.40 | (1329) e23 = e21 % 12.66/3.40 | % 12.66/3.40 | Simplifying 1329 yields: % 12.66/3.40 | (430) e23 = e21 % 12.66/3.40 | % 12.66/3.40 | Equations (430) can reduce 277 to: % 12.66/3.40 | (397) $false % 12.66/3.40 | % 12.66/3.40 |-The branch is then unsatisfiable % 12.66/3.40 |-Branch two: % 12.66/3.40 | (1382) ~ (all_0_127_127 = e23) % 12.66/3.40 | (1383) all_0_136_136 = e23 % 12.66/3.40 | % 12.66/3.40 | Equations (1383) can reduce 491 to: % 12.66/3.40 | (35) ~ (e23 = e22) % 12.66/3.40 | % 12.66/3.40 +-Applying beta-rule and splitting (1354), into two cases. % 12.66/3.40 |-Branch one: % 12.66/3.40 | (1385) all_0_136_136 = e22 % 12.66/3.40 | % 12.66/3.40 | Combining equations (1383,1385) yields a new equation: % 12.66/3.40 | (1386) e23 = e22 % 12.66/3.40 | % 12.66/3.40 | Simplifying 1386 yields: % 12.66/3.40 | (1387) e23 = e22 % 12.66/3.40 | % 12.66/3.40 | Equations (1387) can reduce 35 to: % 12.66/3.40 | (397) $false % 12.66/3.40 | % 12.66/3.40 |-The branch is then unsatisfiable % 12.66/3.40 |-Branch two: % 12.66/3.40 | (491) ~ (all_0_136_136 = e22) % 12.66/3.40 | (1390) all_0_137_137 = e22 | all_0_138_138 = e22 % 12.66/3.40 | % 12.66/3.40 +-Applying beta-rule and splitting (1390), into two cases. % 12.66/3.40 |-Branch one: % 12.66/3.40 | (512) all_0_137_137 = e22 % 12.66/3.40 | % 12.66/3.40 | Equations (512) can reduce 479 to: % 12.66/3.40 | (397) $false % 12.66/3.40 | % 12.66/3.40 |-The branch is then unsatisfiable % 12.66/3.40 |-Branch two: % 12.66/3.40 | (479) ~ (all_0_137_137 = e22) % 12.66/3.40 | (392) all_0_138_138 = e22 % 12.66/3.40 | % 12.66/3.40 | Combining equations (392,440) yields a new equation: % 12.66/3.40 | (411) e22 = e20 % 12.66/3.40 | % 12.66/3.40 | Simplifying 411 yields: % 12.66/3.40 | (412) e22 = e20 % 12.66/3.40 | % 12.66/3.40 | Equations (412) can reduce 113 to: % 12.66/3.40 | (397) $false % 12.66/3.40 | % 12.66/3.40 |-The branch is then unsatisfiable % 12.66/3.40 |-Branch two: % 12.66/3.40 | (502) ~ (all_0_127_127 = e21) % 12.66/3.40 | (503) all_0_133_133 = e21 | all_0_136_136 = e21 % 12.66/3.40 | % 12.66/3.40 +-Applying beta-rule and splitting (503), into two cases. % 12.66/3.40 |-Branch one: % 12.66/3.40 | (504) all_0_133_133 = e21 % 12.66/3.40 | % 12.66/3.40 | Combining equations (504,488) yields a new equation: % 12.66/3.40 | (505) e22 = e21 % 12.66/3.40 | % 12.66/3.40 | Equations (505) can reduce 247 to: % 12.66/3.40 | (397) $false % 12.66/3.40 | % 12.66/3.40 |-The branch is then unsatisfiable % 12.66/3.40 |-Branch two: % 12.66/3.40 | (507) ~ (all_0_133_133 = e21) % 12.66/3.40 | (508) all_0_136_136 = e21 % 12.66/3.40 | % 12.66/3.40 | Equations (508) can reduce 1362 to: % 12.66/3.40 | (397) $false % 12.66/3.40 | % 12.66/3.40 |-The branch is then unsatisfiable % 12.66/3.41 |-Branch two: % 12.66/3.41 | (1406) ~ (all_0_135_135 = e21) % 12.66/3.41 | (1407) all_0_135_135 = e23 | all_0_135_135 = e20 % 12.66/3.41 | % 12.66/3.41 +-Applying beta-rule and splitting (1407), into two cases. % 12.66/3.41 |-Branch one: % 12.66/3.41 | (1408) all_0_135_135 = e23 % 12.66/3.41 | % 12.66/3.41 | Equations (1408) can reduce 486 to: % 12.66/3.41 | (397) $false % 12.66/3.41 | % 12.66/3.41 |-The branch is then unsatisfiable % 12.66/3.41 |-Branch two: % 12.66/3.41 | (486) ~ (all_0_135_135 = e23) % 12.66/3.41 | (418) all_0_135_135 = e20 % 12.66/3.41 | % 12.66/3.41 | Equations (418) can reduce 441 to: % 12.66/3.41 | (397) $false % 12.66/3.41 | % 12.66/3.41 |-The branch is then unsatisfiable % 12.66/3.41 |-Branch two: % 12.66/3.41 | (1413) ~ (all_0_133_133 = e22) % 12.66/3.41 | (504) all_0_133_133 = e21 % 12.66/3.41 | % 12.66/3.41 | Equations (504) can reduce 123 to: % 12.66/3.41 | (502) ~ (all_0_127_127 = e21) % 12.66/3.41 | % 12.66/3.41 | Equations (504) can reduce 283 to: % 12.66/3.41 | (1361) ~ (all_0_136_136 = e21) % 12.66/3.41 | % 12.66/3.41 | Simplifying 1361 yields: % 12.66/3.41 | (1362) ~ (all_0_136_136 = e21) % 12.66/3.41 | % 12.66/3.41 | Equations (504) can reduce 1413 to: % 12.66/3.41 | (1365) ~ (e22 = e21) % 12.66/3.41 | % 12.66/3.41 | Simplifying 1365 yields: % 12.66/3.41 | (247) ~ (e22 = e21) % 12.66/3.41 | % 12.66/3.41 +-Applying beta-rule and splitting (284), into two cases. % 12.66/3.41 |-Branch one: % 12.66/3.41 | (1420) all_0_127_127 = e22 % 12.66/3.41 | % 12.66/3.41 | Equations (1420) can reduce 447 to: % 12.66/3.41 | (397) $false % 12.66/3.41 | % 12.66/3.41 |-The branch is then unsatisfiable % 12.66/3.41 |-Branch two: % 12.66/3.41 | (447) ~ (all_0_127_127 = e22) % 12.66/3.41 | (1423) all_0_127_127 = e23 | all_0_127_127 = e21 % 12.66/3.41 | % 12.66/3.41 +-Applying beta-rule and splitting (39), into two cases. % 12.66/3.41 |-Branch one: % 12.66/3.41 | (1367) all_0_132_132 = e22 % 12.66/3.41 | % 12.66/3.41 | Equations (1367) can reduce 186 to: % 12.66/3.41 | (1425) ~ (all_0_135_135 = e22) % 12.66/3.41 | % 12.66/3.41 | Simplifying 1425 yields: % 12.66/3.41 | (1353) ~ (all_0_135_135 = e22) % 12.66/3.41 | % 12.66/3.41 | From (1367) and (118) follows: % 12.66/3.41 | (1427) op2(e21, e23) = e22 % 12.66/3.41 | % 12.66/3.41 +-Applying beta-rule and splitting (1423), into two cases. % 12.66/3.41 |-Branch one: % 12.66/3.41 | (499) all_0_127_127 = e21 % 12.66/3.41 | % 12.66/3.41 | Equations (499) can reduce 502 to: % 12.66/3.41 | (397) $false % 12.66/3.41 | % 12.66/3.41 |-The branch is then unsatisfiable % 12.66/3.41 |-Branch two: % 12.66/3.41 | (502) ~ (all_0_127_127 = e21) % 12.66/3.41 | (497) all_0_127_127 = e23 % 12.66/3.41 | % 12.66/3.41 | Equations (497) can reduce 250 to: % 12.66/3.41 | (1432) ~ (all_0_128_128 = e23) % 12.66/3.41 | % 12.66/3.41 | Simplifying 1432 yields: % 12.66/3.41 | (1433) ~ (all_0_128_128 = e23) % 12.66/3.41 | % 12.66/3.41 | Equations (497) can reduce 447 to: % 12.66/3.41 | (35) ~ (e23 = e22) % 12.66/3.41 | % 12.66/3.41 +-Applying beta-rule and splitting (15), into two cases. % 12.66/3.41 |-Branch one: % 12.66/3.41 | (422) all_0_132_132 = e20 % 12.66/3.41 | % 12.66/3.41 | Combining equations (422,1367) yields a new equation: % 12.66/3.41 | (412) e22 = e20 % 12.66/3.41 | % 12.66/3.41 | Equations (412) can reduce 113 to: % 12.66/3.41 | (397) $false % 12.66/3.41 | % 12.66/3.41 |-The branch is then unsatisfiable % 12.66/3.41 |-Branch two: % 12.66/3.41 | (419) ~ (all_0_132_132 = e20) % 12.66/3.41 | (425) all_0_134_134 = e20 % 12.66/3.41 | % 12.66/3.41 +-Applying beta-rule and splitting (329), into two cases. % 12.66/3.41 |-Branch one: % 12.66/3.41 | (1440) all_0_128_128 = e23 % 12.66/3.41 | % 12.66/3.41 | Equations (1440) can reduce 1433 to: % 12.66/3.41 | (397) $false % 12.66/3.41 | % 12.66/3.41 |-The branch is then unsatisfiable % 12.66/3.41 |-Branch two: % 12.66/3.41 | (1433) ~ (all_0_128_128 = e23) % 12.66/3.41 | (1443) all_0_131_131 = e23 | all_0_137_137 = e23 % 12.66/3.41 | % 12.66/3.41 +-Applying beta-rule and splitting (1443), into two cases. % 12.66/3.41 |-Branch one: % 12.66/3.41 | (1444) all_0_131_131 = e23 % 12.66/3.41 | % 12.66/3.41 | Combining equations (475,1444) yields a new equation: % 12.66/3.41 | (1387) e23 = e22 % 12.66/3.41 | % 12.66/3.41 | Equations (1387) can reduce 35 to: % 12.66/3.41 | (397) $false % 12.66/3.41 | % 12.66/3.41 |-The branch is then unsatisfiable % 12.66/3.41 |-Branch two: % 12.66/3.41 | (1447) ~ (all_0_131_131 = e23) % 12.66/3.41 | (520) all_0_137_137 = e23 % 12.66/3.41 | % 12.66/3.41 | Equations (520) can reduce 259 to: % 12.66/3.41 | (486) ~ (all_0_135_135 = e23) % 12.66/3.41 | % 12.66/3.41 | Equations (520) can reduce 298 to: % 12.66/3.41 | (1450) ~ (all_0_136_136 = e23) % 12.66/3.41 | % 12.66/3.41 | From (520) and (474) follows: % 12.66/3.41 | (521) op2(e21, e23) = e21 % 12.66/3.41 | % 12.66/3.41 +-Applying beta-rule and splitting (161), into two cases. % 12.66/3.41 |-Branch one: % 12.66/3.41 | (492) all_0_135_135 = e22 % 12.66/3.41 | % 12.66/3.41 | Equations (492) can reduce 1353 to: % 12.66/3.41 | (397) $false % 12.66/3.41 | % 12.66/3.41 |-The branch is then unsatisfiable % 12.66/3.41 |-Branch two: % 12.66/3.41 | (1353) ~ (all_0_135_135 = e22) % 12.66/3.41 | (1358) all_0_135_135 = e23 | all_0_135_135 = e21 | all_0_135_135 = e20 % 12.66/3.41 | % 12.66/3.41 +-Applying beta-rule and splitting (46), into two cases. % 12.66/3.41 |-Branch one: % 12.66/3.41 | (492) all_0_135_135 = e22 % 12.66/3.41 | % 12.66/3.41 | Equations (492) can reduce 1353 to: % 12.66/3.41 | (397) $false % 12.66/3.41 | % 12.66/3.41 |-The branch is then unsatisfiable % 12.66/3.41 |-Branch two: % 12.66/3.41 | (1353) ~ (all_0_135_135 = e22) % 12.66/3.41 | (1354) all_0_136_136 = e22 | all_0_137_137 = e22 | all_0_138_138 = e22 % 12.66/3.41 | % 12.66/3.42 +-Applying beta-rule and splitting (1354), into two cases. % 12.66/3.42 |-Branch one: % 12.66/3.42 | (1385) all_0_136_136 = e22 % 12.66/3.42 | % 12.66/3.42 | Equations (1385) can reduce 170 to: % 12.66/3.42 | (113) ~ (e22 = e20) % 12.66/3.42 | % 12.66/3.42 | From (1385) and (473) follows: % 12.66/3.42 | (1462) op2(e22, e22) = e22 % 12.66/3.42 | % 12.66/3.42 +-Applying beta-rule and splitting (1358), into two cases. % 12.66/3.42 |-Branch one: % 12.66/3.42 | (1359) all_0_135_135 = e21 % 12.66/3.42 | % 12.66/3.42 | Equations (1359) can reduce 180 to: % 12.66/3.42 | (523) ~ (all_0_126_126 = e21) % 12.66/3.42 | % 12.66/3.42 | Equations (1359) can reduce 486 to: % 12.66/3.42 | (524) ~ (e23 = e21) % 12.66/3.42 | % 12.66/3.42 | Simplifying 524 yields: % 12.66/3.42 | (277) ~ (e23 = e21) % 12.66/3.42 | % 12.66/3.42 | Equations (1359) can reduce 441 to: % 12.66/3.42 | (322) ~ (e21 = e20) % 12.66/3.42 | % 12.66/3.42 +-Applying beta-rule and splitting (229), into two cases. % 12.66/3.42 |-Branch one: % 12.66/3.42 | (531) all_0_126_126 = e20 % 12.66/3.42 | % 12.66/3.42 | Equations (531) can reduce 188 to: % 12.66/3.42 | (1469) ~ (all_0_128_128 = e20) % 12.66/3.42 | % 12.66/3.42 | Simplifying 1469 yields: % 12.66/3.42 | (1470) ~ (all_0_128_128 = e20) % 12.66/3.42 | % 12.66/3.42 | Equations (531) can reduce 523 to: % 12.66/3.42 | (532) ~ (e21 = e20) % 12.66/3.42 | % 12.66/3.42 | Simplifying 532 yields: % 12.66/3.42 | (322) ~ (e21 = e20) % 12.66/3.42 | % 12.66/3.42 +-Applying beta-rule and splitting (285), into two cases. % 12.66/3.42 |-Branch one: % 12.66/3.42 | (539) all_0_128_128 = e21 % 12.66/3.42 | % 12.66/3.42 | Equations (539) can reduce 1470 to: % 12.66/3.42 | (322) ~ (e21 = e20) % 12.66/3.42 | % 12.66/3.42 | Instantiating formula (195) with e22, e22, e22, e20 and discharging atoms op2(e22, e22) = e22, op2(e22, e22) = e20, yields: % 12.66/3.42 | (412) e22 = e20 % 12.66/3.42 | % 12.66/3.42 | Instantiating formula (195) with e21, e23, e21, e22 and discharging atoms op2(e21, e23) = e22, op2(e21, e23) = e21, yields: % 12.66/3.42 | (505) e22 = e21 % 12.66/3.42 | % 12.66/3.42 | Combining equations (505,412) yields a new equation: % 12.66/3.42 | (1477) e21 = e20 % 12.66/3.42 | % 12.66/3.42 | Simplifying 1477 yields: % 12.66/3.42 | (527) e21 = e20 % 12.66/3.42 | % 12.66/3.42 | Equations (527) can reduce 322 to: % 12.66/3.42 | (397) $false % 12.66/3.42 | % 12.66/3.42 |-The branch is then unsatisfiable % 12.66/3.42 |-Branch two: % 12.66/3.42 | (1326) ~ (all_0_128_128 = e21) % 12.66/3.42 | (1327) all_0_134_134 = e21 | all_0_137_137 = e21 % 12.66/3.42 | % 12.66/3.42 +-Applying beta-rule and splitting (1327), into two cases. % 12.66/3.42 |-Branch one: % 12.66/3.42 | (1482) all_0_134_134 = e21 % 12.66/3.42 | % 12.66/3.42 | Combining equations (425,1482) yields a new equation: % 12.66/3.42 | (527) e21 = e20 % 12.66/3.42 | % 12.66/3.42 | Equations (527) can reduce 322 to: % 12.66/3.42 | (397) $false % 12.66/3.42 | % 12.66/3.42 |-The branch is then unsatisfiable % 12.66/3.42 |-Branch two: % 12.66/3.42 | (1485) ~ (all_0_134_134 = e21) % 12.66/3.42 | (516) all_0_137_137 = e21 % 12.66/3.42 | % 12.66/3.42 | Combining equations (520,516) yields a new equation: % 12.66/3.42 | (1329) e23 = e21 % 12.66/3.42 | % 12.66/3.42 | Simplifying 1329 yields: % 12.66/3.42 | (430) e23 = e21 % 12.66/3.42 | % 12.66/3.42 | Equations (430) can reduce 277 to: % 12.66/3.42 | (397) $false % 12.66/3.42 | % 12.66/3.42 |-The branch is then unsatisfiable % 12.66/3.42 |-Branch two: % 12.66/3.42 | (1335) ~ (all_0_126_126 = e20) % 12.66/3.42 | (1336) all_0_128_128 = e20 | all_0_129_129 = e20 % 12.66/3.42 | % 12.66/3.42 +-Applying beta-rule and splitting (244), into two cases. % 12.66/3.42 |-Branch one: % 12.66/3.42 | (531) all_0_126_126 = e20 % 12.66/3.42 | % 12.66/3.42 | Equations (531) can reduce 1335 to: % 12.66/3.42 | (397) $false % 12.66/3.42 | % 12.66/3.42 |-The branch is then unsatisfiable % 12.66/3.42 |-Branch two: % 12.66/3.42 | (1335) ~ (all_0_126_126 = e20) % 12.66/3.42 | (1495) all_0_132_132 = e20 | all_0_135_135 = e20 % 12.66/3.42 | % 12.66/3.42 +-Applying beta-rule and splitting (1495), into two cases. % 12.66/3.42 |-Branch one: % 12.66/3.42 | (422) all_0_132_132 = e20 % 12.66/3.42 | % 12.66/3.42 | Combining equations (1367,422) yields a new equation: % 12.66/3.42 | (411) e22 = e20 % 12.66/3.42 | % 12.66/3.42 | Simplifying 411 yields: % 12.66/3.42 | (412) e22 = e20 % 12.66/3.42 | % 12.66/3.42 | Equations (412) can reduce 113 to: % 12.66/3.42 | (397) $false % 12.66/3.42 | % 12.66/3.42 |-The branch is then unsatisfiable % 12.66/3.42 |-Branch two: % 12.66/3.42 | (419) ~ (all_0_132_132 = e20) % 12.66/3.42 | (418) all_0_135_135 = e20 % 12.66/3.42 | % 12.66/3.42 | Combining equations (1359,418) yields a new equation: % 12.66/3.42 | (1477) e21 = e20 % 12.66/3.42 | % 12.66/3.42 | Simplifying 1477 yields: % 12.66/3.42 | (527) e21 = e20 % 12.66/3.42 | % 12.66/3.42 | Equations (527) can reduce 322 to: % 12.66/3.42 | (397) $false % 12.66/3.42 | % 12.66/3.42 |-The branch is then unsatisfiable % 12.66/3.42 |-Branch two: % 12.66/3.42 | (1406) ~ (all_0_135_135 = e21) % 12.66/3.42 | (1407) all_0_135_135 = e23 | all_0_135_135 = e20 % 12.66/3.42 | % 12.66/3.42 +-Applying beta-rule and splitting (1407), into two cases. % 12.66/3.42 |-Branch one: % 12.66/3.42 | (1408) all_0_135_135 = e23 % 12.66/3.42 | % 12.66/3.42 | Equations (1408) can reduce 486 to: % 12.66/3.42 | (397) $false % 12.66/3.42 | % 12.66/3.42 |-The branch is then unsatisfiable % 12.66/3.42 |-Branch two: % 12.66/3.42 | (486) ~ (all_0_135_135 = e23) % 12.66/3.42 | (418) all_0_135_135 = e20 % 12.66/3.42 | % 12.66/3.42 | Equations (418) can reduce 441 to: % 12.66/3.42 | (397) $false % 12.66/3.42 | % 12.66/3.42 |-The branch is then unsatisfiable % 12.66/3.42 |-Branch two: % 12.66/3.42 | (491) ~ (all_0_136_136 = e22) % 12.66/3.42 | (1390) all_0_137_137 = e22 | all_0_138_138 = e22 % 12.66/3.42 | % 12.66/3.42 +-Applying beta-rule and splitting (290), into two cases. % 12.66/3.42 |-Branch one: % 12.66/3.42 | (1385) all_0_136_136 = e22 % 12.66/3.42 | % 12.66/3.42 | Equations (1385) can reduce 491 to: % 12.66/3.42 | (397) $false % 12.66/3.42 | % 12.66/3.42 |-The branch is then unsatisfiable % 12.66/3.42 |-Branch two: % 12.66/3.42 | (491) ~ (all_0_136_136 = e22) % 12.66/3.42 | (1517) all_0_136_136 = e23 | all_0_136_136 = e21 % 12.66/3.42 | % 12.66/3.42 +-Applying beta-rule and splitting (1517), into two cases. % 12.66/3.42 |-Branch one: % 12.66/3.42 | (508) all_0_136_136 = e21 % 12.66/3.42 | % 12.66/3.42 | Equations (508) can reduce 1362 to: % 12.66/3.42 | (397) $false % 12.66/3.42 | % 12.66/3.42 |-The branch is then unsatisfiable % 12.66/3.42 |-Branch two: % 12.66/3.42 | (1362) ~ (all_0_136_136 = e21) % 12.66/3.43 | (1383) all_0_136_136 = e23 % 12.66/3.43 | % 12.66/3.43 | Equations (1383) can reduce 1450 to: % 12.66/3.43 | (397) $false % 12.66/3.43 | % 12.66/3.43 |-The branch is then unsatisfiable % 12.66/3.43 |-Branch two: % 12.66/3.43 | (489) ~ (all_0_132_132 = e22) % 12.66/3.43 | (1524) all_0_133_133 = e22 | all_0_134_134 = e22 % 12.66/3.43 | % 12.66/3.43 +-Applying beta-rule and splitting (1524), into two cases. % 12.66/3.43 |-Branch one: % 12.66/3.43 | (488) all_0_133_133 = e22 % 12.66/3.43 | % 12.66/3.43 | Combining equations (504,488) yields a new equation: % 12.66/3.43 | (505) e22 = e21 % 12.66/3.43 | % 12.66/3.43 | Equations (505) can reduce 247 to: % 12.66/3.43 | (397) $false % 12.66/3.43 | % 12.66/3.43 |-The branch is then unsatisfiable % 12.66/3.43 |-Branch two: % 12.66/3.43 | (1413) ~ (all_0_133_133 = e22) % 12.66/3.43 | (1529) all_0_134_134 = e22 % 12.66/3.43 | % 12.66/3.43 | Equations (1529) can reduce 477 to: % 12.66/3.43 | (397) $false % 12.66/3.43 | % 12.66/3.43 |-The branch is then unsatisfiable % 12.66/3.43 |-Branch two: % 12.66/3.43 | (1531) ~ (all_0_130_130 = e23) % 12.66/3.43 | (1444) all_0_131_131 = e23 % 12.66/3.43 | % 12.66/3.43 | Combining equations (475,1444) yields a new equation: % 12.66/3.43 | (1387) e23 = e22 % 12.66/3.43 | % 12.66/3.43 | Equations (1387) can reduce 35 to: % 12.66/3.43 | (397) $false % 12.66/3.43 | % 12.66/3.43 |-The branch is then unsatisfiable % 12.66/3.43 |-Branch two: % 12.66/3.43 | (1535) ~ (all_0_131_131 = e22) % 12.66/3.43 | (1444) all_0_131_131 = e23 % 12.66/3.43 | % 12.66/3.43 | Equations (1444) can reduce 269 to: % 12.66/3.43 | (1531) ~ (all_0_130_130 = e23) % 12.66/3.43 | % 12.66/3.43 | Equations (1444) can reduce 1535 to: % 12.66/3.43 | (35) ~ (e23 = e22) % 12.66/3.43 | % 12.66/3.43 +-Applying beta-rule and splitting (208), into two cases. % 12.66/3.43 |-Branch one: % 12.66/3.43 | (1539) all_0_130_130 = e22 % 12.66/3.43 | % 12.66/3.43 | Equations (1539) can reduce 129 to: % 12.66/3.43 | (493) ~ (all_0_126_126 = e22) % 12.66/3.43 | % 12.66/3.43 | Equations (1539) can reduce 1531 to: % 12.66/3.43 | (449) ~ (e23 = e22) % 12.66/3.43 | % 12.66/3.43 | Simplifying 449 yields: % 12.66/3.43 | (35) ~ (e23 = e22) % 12.66/3.43 | % 12.66/3.43 | Equations (1539) can reduce 376 to: % 12.66/3.43 | (247) ~ (e22 = e21) % 12.66/3.43 | % 12.66/3.43 +-Applying beta-rule and splitting (54), into two cases. % 12.66/3.43 |-Branch one: % 12.66/3.43 | (488) all_0_133_133 = e22 % 12.66/3.43 | % 12.66/3.43 | Equations (488) can reduce 20 to: % 12.66/3.43 | (476) ~ (all_0_134_134 = e22) % 12.66/3.43 | % 12.66/3.43 | Simplifying 476 yields: % 12.66/3.43 | (477) ~ (all_0_134_134 = e22) % 12.66/3.43 | % 12.66/3.43 | Equations (488) can reduce 96 to: % 12.66/3.43 | (449) ~ (e23 = e22) % 12.66/3.43 | % 12.66/3.43 | Simplifying 449 yields: % 12.66/3.43 | (35) ~ (e23 = e22) % 12.66/3.43 | % 12.66/3.43 | From (488) and (116) follows: % 12.66/3.43 | (1549) op2(e21, e22) = e22 % 12.66/3.43 | % 12.66/3.43 +-Applying beta-rule and splitting (82), into two cases. % 12.66/3.43 |-Branch one: % 12.66/3.43 | (1550) all_0_128_128 = e22 % 12.66/3.43 | % 12.66/3.43 | Equations (1550) can reduce 448 to: % 12.66/3.43 | (397) $false % 12.66/3.43 | % 12.66/3.43 |-The branch is then unsatisfiable % 12.66/3.43 |-Branch two: % 12.66/3.43 | (448) ~ (all_0_128_128 = e22) % 12.66/3.43 | (1553) all_0_131_131 = e22 | all_0_134_134 = e22 | all_0_137_137 = e22 % 12.66/3.43 | % 12.66/3.43 +-Applying beta-rule and splitting (1553), into two cases. % 12.66/3.43 |-Branch one: % 12.66/3.43 | (475) all_0_131_131 = e22 % 12.66/3.43 | % 12.66/3.43 | Combining equations (475,1444) yields a new equation: % 12.66/3.43 | (1387) e23 = e22 % 12.66/3.43 | % 12.66/3.43 | Equations (1387) can reduce 35 to: % 12.66/3.43 | (397) $false % 12.66/3.43 | % 12.66/3.43 |-The branch is then unsatisfiable % 12.66/3.43 |-Branch two: % 12.66/3.43 | (1535) ~ (all_0_131_131 = e22) % 12.66/3.43 | (1558) all_0_134_134 = e22 | all_0_137_137 = e22 % 12.66/3.43 | % 12.66/3.43 +-Applying beta-rule and splitting (1558), into two cases. % 12.66/3.43 |-Branch one: % 12.66/3.43 | (1529) all_0_134_134 = e22 % 12.66/3.43 | % 12.66/3.43 | Equations (1529) can reduce 477 to: % 12.66/3.43 | (397) $false % 12.66/3.43 | % 12.66/3.43 |-The branch is then unsatisfiable % 12.66/3.43 |-Branch two: % 12.66/3.43 | (477) ~ (all_0_134_134 = e22) % 12.66/3.43 | (512) all_0_137_137 = e22 % 12.66/3.43 | % 12.66/3.43 | From (512) and (474) follows: % 12.66/3.43 | (1563) op2(e21, e22) = e21 % 12.66/3.43 | % 12.66/3.43 | Instantiating formula (195) with e21, e22, e21, e22 and discharging atoms op2(e21, e22) = e22, op2(e21, e22) = e21, yields: % 12.66/3.43 | (505) e22 = e21 % 12.66/3.43 | % 12.66/3.43 | Equations (505) can reduce 247 to: % 12.66/3.43 | (397) $false % 12.66/3.43 | % 12.66/3.43 |-The branch is then unsatisfiable % 12.66/3.43 |-Branch two: % 12.66/3.43 | (1413) ~ (all_0_133_133 = e22) % 12.66/3.43 | (504) all_0_133_133 = e21 % 12.66/3.43 | % 12.66/3.43 | Equations (504) can reduce 1413 to: % 12.66/3.43 | (1365) ~ (e22 = e21) % 12.66/3.43 | % 12.66/3.43 | Simplifying 1365 yields: % 12.66/3.43 | (247) ~ (e22 = e21) % 12.66/3.43 | % 12.66/3.43 +-Applying beta-rule and splitting (347), into two cases. % 12.66/3.43 |-Branch one: % 12.66/3.43 | (1420) all_0_127_127 = e22 % 12.66/3.43 | % 12.66/3.43 | Equations (1420) can reduce 447 to: % 12.66/3.43 | (397) $false % 12.66/3.43 | % 12.66/3.43 |-The branch is then unsatisfiable % 12.66/3.43 |-Branch two: % 12.66/3.43 | (447) ~ (all_0_127_127 = e22) % 12.66/3.43 | (1573) all_0_133_133 = e22 | all_0_136_136 = e22 % 12.66/3.43 | % 12.66/3.43 +-Applying beta-rule and splitting (1573), into two cases. % 12.66/3.43 |-Branch one: % 12.66/3.43 | (488) all_0_133_133 = e22 % 12.66/3.43 | % 12.66/3.43 | Combining equations (504,488) yields a new equation: % 12.66/3.43 | (505) e22 = e21 % 12.66/3.43 | % 12.66/3.43 | Equations (505) can reduce 247 to: % 12.66/3.43 | (397) $false % 12.66/3.43 | % 12.66/3.43 |-The branch is then unsatisfiable % 12.66/3.43 |-Branch two: % 12.66/3.43 | (1413) ~ (all_0_133_133 = e22) % 12.66/3.43 | (1385) all_0_136_136 = e22 % 12.66/3.43 | % 12.66/3.43 | Equations (1385) can reduce 166 to: % 12.66/3.43 | (447) ~ (all_0_127_127 = e22) % 12.66/3.43 | % 12.66/3.43 | Equations (1385) can reduce 298 to: % 12.66/3.43 | (478) ~ (all_0_137_137 = e22) % 12.66/3.43 | % 12.66/3.43 | Simplifying 478 yields: % 12.66/3.43 | (479) ~ (all_0_137_137 = e22) % 12.66/3.43 | % 12.66/3.43 | From (1385) and (473) follows: % 12.66/3.43 | (1462) op2(e22, e22) = e22 % 12.66/3.43 | % 12.66/3.43 +-Applying beta-rule and splitting (82), into two cases. % 12.66/3.43 |-Branch one: % 12.66/3.43 | (1550) all_0_128_128 = e22 % 12.66/3.43 | % 12.66/3.43 | Equations (1550) can reduce 448 to: % 12.66/3.43 | (397) $false % 12.66/3.43 | % 12.66/3.43 |-The branch is then unsatisfiable % 12.66/3.43 |-Branch two: % 12.66/3.43 | (448) ~ (all_0_128_128 = e22) % 12.66/3.43 | (1553) all_0_131_131 = e22 | all_0_134_134 = e22 | all_0_137_137 = e22 % 12.66/3.43 | % 12.66/3.43 +-Applying beta-rule and splitting (1553), into two cases. % 12.66/3.43 |-Branch one: % 12.66/3.43 | (475) all_0_131_131 = e22 % 12.66/3.43 | % 12.66/3.43 | Combining equations (1444,475) yields a new equation: % 12.66/3.43 | (1386) e23 = e22 % 12.66/3.43 | % 12.66/3.43 | Simplifying 1386 yields: % 12.66/3.43 | (1387) e23 = e22 % 12.66/3.43 | % 12.66/3.43 | Equations (1387) can reduce 35 to: % 12.66/3.43 | (397) $false % 12.66/3.43 | % 12.66/3.43 |-The branch is then unsatisfiable % 12.66/3.43 |-Branch two: % 12.66/3.43 | (1535) ~ (all_0_131_131 = e22) % 12.66/3.43 | (1558) all_0_134_134 = e22 | all_0_137_137 = e22 % 12.66/3.43 | % 12.66/3.43 | Equations (1444) can reduce 1535 to: % 12.66/3.43 | (35) ~ (e23 = e22) % 12.66/3.43 | % 12.66/3.43 +-Applying beta-rule and splitting (273), into two cases. % 12.66/3.43 |-Branch one: % 12.66/3.43 | (497) all_0_127_127 = e23 % 12.66/3.43 | % 12.66/3.43 | Equations (497) can reduce 10 to: % 12.66/3.43 | (498) ~ (all_0_126_126 = e23) % 12.66/3.43 | % 12.66/3.43 | Equations (497) can reduce 250 to: % 12.66/3.43 | (1432) ~ (all_0_128_128 = e23) % 12.66/3.43 | % 12.66/3.43 | Simplifying 1432 yields: % 12.66/3.43 | (1433) ~ (all_0_128_128 = e23) % 12.66/3.43 | % 12.66/3.43 | Equations (497) can reduce 447 to: % 12.66/3.43 | (35) ~ (e23 = e22) % 12.66/3.43 | % 12.66/3.43 +-Applying beta-rule and splitting (328), into two cases. % 12.66/3.43 |-Branch one: % 12.66/3.43 | (1345) all_0_126_126 = e23 % 12.66/3.43 | % 12.66/3.43 | Equations (1345) can reduce 498 to: % 12.66/3.43 | (397) $false % 12.66/3.43 | % 12.66/3.43 |-The branch is then unsatisfiable % 12.66/3.43 |-Branch two: % 12.66/3.43 | (498) ~ (all_0_126_126 = e23) % 12.66/3.43 | (1602) all_0_130_130 = e23 | all_0_135_135 = e23 % 12.66/3.43 | % 12.66/3.43 +-Applying beta-rule and splitting (1602), into two cases. % 12.66/3.43 |-Branch one: % 12.66/3.43 | (482) all_0_130_130 = e23 % 12.66/3.43 | % 12.66/3.43 | Combining equations (1539,482) yields a new equation: % 12.66/3.43 | (1387) e23 = e22 % 12.66/3.43 | % 12.66/3.43 | Equations (1387) can reduce 35 to: % 12.66/3.43 | (397) $false % 12.66/3.43 | % 12.66/3.43 |-The branch is then unsatisfiable % 12.66/3.43 |-Branch two: % 12.66/3.43 | (1531) ~ (all_0_130_130 = e23) % 12.66/3.43 | (1408) all_0_135_135 = e23 % 12.66/3.43 | % 12.66/3.43 | Equations (1408) can reduce 259 to: % 12.66/3.43 | (1608) ~ (all_0_137_137 = e23) % 12.66/3.43 | % 12.66/3.43 | Simplifying 1608 yields: % 12.66/3.43 | (1350) ~ (all_0_137_137 = e23) % 12.66/3.43 | % 12.66/3.43 +-Applying beta-rule and splitting (167), into two cases. % 12.66/3.43 |-Branch one: % 12.66/3.43 | (512) all_0_137_137 = e22 % 12.66/3.43 | % 12.66/3.43 | Equations (512) can reduce 479 to: % 12.66/3.43 | (397) $false % 12.66/3.43 | % 12.66/3.43 |-The branch is then unsatisfiable % 12.66/3.43 |-Branch two: % 12.66/3.43 | (479) ~ (all_0_137_137 = e22) % 12.66/3.43 | (515) all_0_137_137 = e23 | all_0_137_137 = e21 | all_0_137_137 = e20 % 12.66/3.43 | % 12.66/3.43 +-Applying beta-rule and splitting (515), into two cases. % 12.66/3.43 |-Branch one: % 12.66/3.43 | (516) all_0_137_137 = e21 % 12.66/3.43 | % 12.66/3.43 | Equations (516) can reduce 306 to: % 12.66/3.43 | (1326) ~ (all_0_128_128 = e21) % 12.66/3.43 | % 12.66/3.43 | Equations (516) can reduce 1350 to: % 12.66/3.43 | (524) ~ (e23 = e21) % 12.66/3.43 | % 12.66/3.43 | Simplifying 524 yields: % 12.66/3.44 | (277) ~ (e23 = e21) % 12.66/3.44 | % 12.66/3.44 | From (516) and (474) follows: % 12.66/3.44 | (1618) op2(e21, e21) = e21 % 12.66/3.44 | % 12.66/3.44 +-Applying beta-rule and splitting (147), into two cases. % 12.66/3.44 |-Branch one: % 12.66/3.44 | (534) all_0_126_126 = e21 % 12.66/3.44 | % 12.66/3.44 | Equations (534) can reduce 188 to: % 12.66/3.44 | (1620) ~ (all_0_128_128 = e21) % 12.66/3.44 | % 12.66/3.44 | Simplifying 1620 yields: % 12.66/3.44 | (1326) ~ (all_0_128_128 = e21) % 12.66/3.44 | % 12.66/3.44 | Equations (534) can reduce 184 to: % 12.66/3.44 | (1622) ~ (all_0_132_132 = e21) % 12.66/3.44 | % 12.66/3.44 | Simplifying 1622 yields: % 12.66/3.44 | (1360) ~ (all_0_132_132 = e21) % 12.66/3.44 | % 12.66/3.44 | Equations (534) can reduce 493 to: % 12.66/3.44 | (1365) ~ (e22 = e21) % 12.66/3.44 | % 12.66/3.44 | Simplifying 1365 yields: % 12.66/3.44 | (247) ~ (e22 = e21) % 12.66/3.44 | % 12.66/3.44 | From (534)(534) and (245) follows: % 12.66/3.44 | (1626) op2(e21, e21) = all_0_26_26 % 12.66/3.44 | % 12.66/3.44 +-Applying beta-rule and splitting (1558), into two cases. % 12.66/3.44 |-Branch one: % 12.66/3.44 | (1529) all_0_134_134 = e22 % 12.66/3.44 | % 12.66/3.44 | Equations (1529) can reduce 62 to: % 12.66/3.44 | (448) ~ (all_0_128_128 = e22) % 12.66/3.44 | % 12.66/3.44 | From (1529)(1529) and (171) follows: % 12.66/3.44 | (1629) op2(e22, e22) = all_0_67_67 % 12.66/3.44 | % 12.66/3.44 | From (1529) and (61) follows: % 12.66/3.44 | (1630) op2(e21, e21) = e22 % 12.66/3.44 | % 12.66/3.44 +-Applying beta-rule and splitting (368), into two cases. % 12.66/3.44 |-Branch one: % 12.66/3.44 | (1550) all_0_128_128 = e22 % 12.66/3.44 | % 12.66/3.44 | Equations (1550) can reduce 448 to: % 12.66/3.44 | (397) $false % 12.66/3.44 | % 12.66/3.44 |-The branch is then unsatisfiable % 12.66/3.44 |-Branch two: % 12.66/3.44 | (448) ~ (all_0_128_128 = e22) % 12.66/3.44 | (1634) all_0_128_128 = e23 | all_0_128_128 = e21 | all_0_128_128 = e20 % 12.66/3.44 | % 12.66/3.44 +-Applying beta-rule and splitting (1634), into two cases. % 12.66/3.44 |-Branch one: % 12.66/3.44 | (539) all_0_128_128 = e21 % 12.66/3.44 | % 12.66/3.44 | Equations (539) can reduce 1326 to: % 12.66/3.44 | (397) $false % 12.66/3.44 | % 12.66/3.44 |-The branch is then unsatisfiable % 12.66/3.44 |-Branch two: % 12.66/3.44 | (1326) ~ (all_0_128_128 = e21) % 12.66/3.44 | (1638) all_0_128_128 = e23 | all_0_128_128 = e20 % 12.66/3.44 | % 12.66/3.44 +-Applying beta-rule and splitting (1638), into two cases. % 12.66/3.44 |-Branch one: % 12.66/3.44 | (1440) all_0_128_128 = e23 % 12.66/3.44 | % 12.66/3.44 | Equations (1440) can reduce 1433 to: % 12.66/3.44 | (397) $false % 12.66/3.44 | % 12.66/3.44 |-The branch is then unsatisfiable % 12.66/3.44 |-Branch two: % 12.66/3.44 | (1433) ~ (all_0_128_128 = e23) % 12.66/3.44 | (1642) all_0_128_128 = e20 % 12.66/3.44 | % 12.66/3.44 | Equations (1642) can reduce 448 to: % 12.66/3.44 | (400) ~ (e22 = e20) % 12.66/3.44 | % 12.66/3.44 | Simplifying 400 yields: % 12.66/3.44 | (113) ~ (e22 = e20) % 12.66/3.44 | % 12.66/3.44 +-Applying beta-rule and splitting (15), into two cases. % 12.66/3.44 |-Branch one: % 12.66/3.44 | (422) all_0_132_132 = e20 % 12.66/3.44 | % 12.66/3.44 | Equations (422) can reduce 1360 to: % 12.66/3.44 | (532) ~ (e21 = e20) % 12.66/3.44 | % 12.66/3.44 | Simplifying 532 yields: % 12.66/3.44 | (322) ~ (e21 = e20) % 12.66/3.44 | % 12.66/3.44 | Instantiating formula (195) with e22, e22, all_0_67_67, e20 and discharging atoms op2(e22, e22) = all_0_67_67, op2(e22, e22) = e20, yields: % 12.66/3.44 | (1648) all_0_67_67 = e20 % 12.66/3.44 | % 12.66/3.44 | Instantiating formula (195) with e22, e22, e22, all_0_67_67 and discharging atoms op2(e22, e22) = all_0_67_67, op2(e22, e22) = e22, yields: % 12.66/3.44 | (1649) all_0_67_67 = e22 % 12.66/3.44 | % 12.66/3.44 | Instantiating formula (195) with e21, e21, e22, all_0_26_26 and discharging atoms op2(e21, e21) = all_0_26_26, op2(e21, e21) = e22, yields: % 12.66/3.44 | (1650) all_0_26_26 = e22 % 12.66/3.44 | % 12.66/3.44 | Instantiating formula (195) with e21, e21, e21, all_0_26_26 and discharging atoms op2(e21, e21) = all_0_26_26, op2(e21, e21) = e21, yields: % 12.66/3.44 | (1651) all_0_26_26 = e21 % 12.66/3.44 | % 12.66/3.44 | Combining equations (1650,1651) yields a new equation: % 12.66/3.44 | (1652) e22 = e21 % 12.66/3.44 | % 12.66/3.44 | Simplifying 1652 yields: % 12.66/3.44 | (505) e22 = e21 % 12.66/3.44 | % 12.66/3.44 | Combining equations (1648,1649) yields a new equation: % 12.66/3.44 | (412) e22 = e20 % 12.66/3.44 | % 12.66/3.44 | Combining equations (412,505) yields a new equation: % 12.66/3.44 | (527) e21 = e20 % 12.66/3.44 | % 12.66/3.44 | Equations (527) can reduce 322 to: % 12.66/3.44 | (397) $false % 12.66/3.44 | % 12.66/3.44 |-The branch is then unsatisfiable % 12.66/3.44 |-Branch two: % 12.66/3.44 | (419) ~ (all_0_132_132 = e20) % 12.66/3.44 | (425) all_0_134_134 = e20 % 12.66/3.44 | % 12.66/3.44 | Combining equations (1529,425) yields a new equation: % 12.66/3.44 | (411) e22 = e20 % 12.66/3.44 | % 12.66/3.44 | Simplifying 411 yields: % 12.66/3.44 | (412) e22 = e20 % 12.66/3.44 | % 12.66/3.44 | Equations (412) can reduce 113 to: % 12.66/3.44 | (397) $false % 12.66/3.44 | % 12.66/3.44 |-The branch is then unsatisfiable % 12.66/3.44 |-Branch two: % 12.66/3.44 | (477) ~ (all_0_134_134 = e22) % 12.66/3.44 | (512) all_0_137_137 = e22 % 12.66/3.44 | % 12.66/3.44 | Combining equations (516,512) yields a new equation: % 12.66/3.44 | (505) e22 = e21 % 12.66/3.44 | % 12.66/3.44 | Equations (505) can reduce 247 to: % 12.66/3.44 | (397) $false % 12.66/3.44 | % 12.66/3.44 |-The branch is then unsatisfiable % 12.66/3.44 |-Branch two: % 12.66/3.44 | (523) ~ (all_0_126_126 = e21) % 12.66/3.44 | (538) all_0_127_127 = e21 | all_0_128_128 = e21 % 12.66/3.44 | % 12.66/3.44 +-Applying beta-rule and splitting (538), into two cases. % 12.66/3.44 |-Branch one: % 12.66/3.44 | (499) all_0_127_127 = e21 % 12.66/3.44 | % 12.66/3.44 | Combining equations (499,497) yields a new equation: % 12.66/3.44 | (430) e23 = e21 % 12.66/3.44 | % 12.66/3.44 | Equations (430) can reduce 277 to: % 12.66/3.44 | (397) $false % 12.66/3.44 | % 12.66/3.44 |-The branch is then unsatisfiable % 12.66/3.44 |-Branch two: % 12.66/3.44 | (502) ~ (all_0_127_127 = e21) % 12.66/3.44 | (539) all_0_128_128 = e21 % 12.66/3.44 | % 12.66/3.44 | Equations (539) can reduce 1326 to: % 12.66/3.44 | (397) $false % 12.66/3.44 | % 12.66/3.44 |-The branch is then unsatisfiable % 12.66/3.44 |-Branch two: % 12.66/3.44 | (510) ~ (all_0_137_137 = e21) % 12.66/3.44 | (519) all_0_137_137 = e23 | all_0_137_137 = e20 % 12.66/3.44 | % 12.66/3.44 +-Applying beta-rule and splitting (519), into two cases. % 12.66/3.44 |-Branch one: % 12.66/3.44 | (520) all_0_137_137 = e23 % 12.66/3.44 | % 12.66/3.44 | Equations (520) can reduce 1350 to: % 12.66/3.44 | (397) $false % 12.66/3.44 | % 12.66/3.44 |-The branch is then unsatisfiable % 12.66/3.44 |-Branch two: % 12.66/3.44 | (1350) ~ (all_0_137_137 = e23) % 12.66/3.44 | (1351) all_0_137_137 = e20 % 12.66/3.44 | % 12.66/3.44 | Equations (1351) can reduce 443 to: % 12.66/3.44 | (397) $false % 12.66/3.44 | % 12.66/3.44 |-The branch is then unsatisfiable % 12.66/3.44 |-Branch two: % 12.66/3.44 | (1382) ~ (all_0_127_127 = e23) % 12.66/3.44 | (1383) all_0_136_136 = e23 % 12.66/3.44 | % 12.66/3.44 | Combining equations (1385,1383) yields a new equation: % 12.66/3.44 | (1387) e23 = e22 % 12.66/3.44 | % 12.66/3.44 | Equations (1387) can reduce 35 to: % 12.66/3.44 | (397) $false % 12.66/3.44 | % 12.66/3.44 |-The branch is then unsatisfiable % 12.66/3.44 |-Branch two: % 12.66/3.44 | (1685) ~ (all_0_130_130 = e22) % 12.66/3.44 | (475) all_0_131_131 = e22 % 12.66/3.44 | % 12.66/3.44 | Combining equations (1444,475) yields a new equation: % 12.66/3.44 | (1386) e23 = e22 % 12.66/3.44 | % 12.66/3.44 | Simplifying 1386 yields: % 12.66/3.44 | (1387) e23 = e22 % 12.66/3.44 | % 12.66/3.44 | Equations (1387) can reduce 35 to: % 12.66/3.44 | (397) $false % 12.66/3.44 | % 12.66/3.44 |-The branch is then unsatisfiable % 12.66/3.44 |-Branch two: % 12.66/3.44 | (393) ~ (all_0_129_129 = e22) % 12.66/3.44 | (392) all_0_138_138 = e22 % 12.66/3.44 | % 12.66/3.44 | Combining equations (440,392) yields a new equation: % 12.66/3.44 | (412) e22 = e20 % 12.66/3.44 | % 12.66/3.44 | Equations (412) can reduce 113 to: % 12.66/3.44 | (397) $false % 12.66/3.44 | % 12.66/3.44 |-The branch is then unsatisfiable % 12.66/3.44 % SZS output end Proof for theBenchmark % 12.66/3.44 % 12.66/3.44 2863ms %------------------------------------------------------------------------------