%------------------------------------------------------------------------------ % File : ePrincess---1.0 % Problem : ALG103+1 : TPTP v8.1.0. Released v2.7.0. % Transfm : none % Format : tptp:raw % Command : ePrincess-casc -timeout=%d %s % Computer : n029.cluster.edu % Model : x86_64 x86_64 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz % Memory : 8042.1875MB % OS : Linux 3.10.0-693.el7.x86_64 % CPULimit : 300s % WCLimit : 600s % DateTime : Thu Jul 14 15:35:08 EDT 2022 % Result : Theorem 6.93s 2.14s % Output : Proof 15.85s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : ALG103+1 : TPTP v8.1.0. Released v2.7.0. % 0.11/0.12 % Command : ePrincess-casc -timeout=%d %s % 0.11/0.31 % Computer : n029.cluster.edu % 0.11/0.31 % Model : x86_64 x86_64 % 0.11/0.31 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.31 % Memory : 8042.1875MB % 0.11/0.31 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.31 % CPULimit : 300 % 0.11/0.31 % WCLimit : 600 % 0.11/0.31 % DateTime : Wed Jun 8 13:48:21 EDT 2022 % 0.11/0.31 % CPUTime : % 0.17/0.55 ____ _ % 0.17/0.55 ___ / __ \_____(_)___ ________ __________ % 0.17/0.55 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/ % 0.17/0.55 / __/ ____/ / / / / / / /__/ __(__ |__ ) % 0.17/0.55 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/ % 0.17/0.55 % 0.17/0.55 A Theorem Prover for First-Order Logic % 0.17/0.55 (ePrincess v.1.0) % 0.17/0.55 % 0.17/0.55 (c) Philipp Rümmer, 2009-2015 % 0.17/0.55 (c) Peter Backeman, 2014-2015 % 0.17/0.55 (contributions by Angelo Brillout, Peter Baumgartner) % 0.17/0.55 Free software under GNU Lesser General Public License (LGPL). % 0.17/0.55 Bug reports to peter@backeman.se % 0.17/0.55 % 0.17/0.55 For more information, visit http://user.uu.se/~petba168/breu/ % 0.17/0.55 % 0.17/0.55 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ... % 0.73/0.61 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all % 3.05/1.23 Prover 0: Preprocessing ... % 5.04/1.72 Prover 0: Constructing countermodel ... % 6.93/2.14 Prover 0: proved (1524ms) % 6.93/2.14 % 6.93/2.14 No countermodel exists, formula is valid % 6.93/2.14 % SZS status Theorem for theBenchmark % 6.93/2.14 % 6.93/2.14 Generating proof ... found it (size 2608) % 13.33/3.67 % 13.33/3.67 % SZS output start Proof for theBenchmark % 13.33/3.67 Assumed formulas after preprocessing and simplification: % 13.33/3.67 | (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] : ( ~ (v25 = v24) & ~ (v25 = v23) & ~ (v25 = v22) & ~ (v25 = v21) & ~ (v25 = v18) & ~ (v25 = v14) & ~ (v24 = v23) & ~ (v24 = v22) & ~ (v24 = v20) & ~ (v24 = v17) & ~ (v24 = v13) & ~ (v23 = v22) & ~ (v23 = v19) & ~ (v23 = v16) & ~ (v23 = e22) & ~ (v22 = v15) & ~ (v22 = e23) & ~ (v22 = e21) & ~ (v21 = v20) & ~ (v21 = v19) & ~ (v21 = v18) & ~ (v21 = v14) & ~ (v21 = e23) & ~ (v20 = v19) & ~ (v20 = v17) & ~ (v20 = v13) & ~ (v20 = e23) & ~ (v19 = v16) & ~ (v19 = e23) & ~ (v19 = e22) & ~ (v18 = v17) & ~ (v18 = v16) & ~ (v18 = v15) & ~ (v18 = v14) & ~ (v17 = v16) & ~ (v17 = v15) & ~ (v17 = v13) & ~ (v16 = v15) & ~ (v16 = e22) & ~ (v15 = e23) & ~ (v15 = e21) & ~ (v14 = v13) & ~ (v14 = e22) & ~ (v14 = e21) & ~ (v13 = e22) & ~ (v13 = e21) & ~ (v12 = v11) & ~ (v12 = v10) & ~ (v12 = v9) & ~ (v12 = v8) & ~ (v12 = v5) & ~ (v12 = v1) & ~ (v11 = v10) & ~ (v11 = v9) & ~ (v11 = v7) & ~ (v11 = v4) & ~ (v11 = v0) & ~ (v10 = v9) & ~ (v10 = v6) & ~ (v10 = v3) & ~ (v10 = e12) & ~ (v9 = v2) & ~ (v9 = e13) & ~ (v9 = e11) & ~ (v8 = v7) & ~ (v8 = v6) & ~ (v8 = v5) & ~ (v8 = v1) & ~ (v8 = e13) & ~ (v7 = v6) & ~ (v7 = v4) & ~ (v7 = v0) & ~ (v7 = e13) & ~ (v6 = v3) & ~ (v6 = e13) & ~ (v6 = e12) & ~ (v5 = v4) & ~ (v5 = v3) & ~ (v5 = v2) & ~ (v5 = v1) & ~ (v4 = v3) & ~ (v4 = v2) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = e12) & ~ (v2 = e13) & ~ (v2 = e11) & ~ (v1 = v0) & ~ (v1 = e12) & ~ (v1 = e11) & ~ (v0 = e12) & ~ (v0 = e11) & ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e23 = e13) & ~ (e23 = e12) & ~ (e23 = e11) & ~ (e23 = e10) & ~ (e22 = e21) & ~ (e22 = e20) & ~ (e22 = e13) & ~ (e22 = e12) & ~ (e22 = e11) & ~ (e22 = e10) & ~ (e21 = e20) & ~ (e21 = e13) & ~ (e21 = e12) & ~ (e21 = e11) & ~ (e21 = e10) & ~ (e20 = e13) & ~ (e20 = e12) & ~ (e20 = e11) & ~ (e20 = e10) & ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = e10) & ~ (e11 = e10) & op1(e13, e13) = v12 & op1(e13, e12) = v11 & op1(e13, e11) = v10 & op1(e13, e10) = v9 & op1(e12, e13) = v8 & op1(e12, e12) = v7 & op1(e12, e11) = v6 & op1(e12, e10) = e13 & op1(e11, e13) = v5 & op1(e11, e12) = v4 & op1(e11, e11) = v3 & op1(e11, e10) = v2 & op1(e10, e13) = v1 & op1(e10, e12) = v0 & op1(e10, e11) = e12 & op1(e10, e10) = e11 & h1(v12) = v44 & h1(v11) = v43 & h1(v10) = v42 & h1(v9) = v41 & h1(v8) = v40 & h1(v7) = v39 & h1(v6) = v38 & h1(v5) = v37 & h1(v4) = v36 & h1(v3) = v35 & h1(v2) = v34 & h1(v1) = v33 & h1(v0) = v32 & h1(e13) = e23 & h1(e12) = e22 & h1(e11) = e21 & h1(e10) = e20 & h2(v12) = v71 & h2(v11) = v69 & h2(v10) = v67 & h2(v9) = v65 & h2(v8) = v63 & h2(v7) = v61 & h2(v6) = v59 & h2(v5) = v56 & h2(v4) = v54 & h2(v3) = v52 & h2(v2) = v50 & h2(v1) = v48 & h2(v0) = v46 & h2(e13) = v27 & h2(e12) = v26 & h2(e11) = v16 & h2(e10) = e21 & h3(v12) = v99 & h3(v11) = v97 & h3(v10) = v95 & h3(v9) = v93 & h3(v8) = v91 & h3(v7) = v89 & h3(v6) = v87 & h3(v5) = v84 & h3(v4) = v82 & h3(v3) = v80 & h3(v2) = v78 & h3(v1) = v76 & h3(v0) = v74 & h3(e13) = v29 & h3(e12) = v28 & h3(e11) = v20 & h3(e10) = e22 & h4(v12) = v127 & h4(v11) = v125 & h4(v10) = v123 & h4(v9) = v121 & h4(v8) = v119 & h4(v7) = v117 & h4(v6) = v115 & h4(v5) = v112 & h4(v4) = v110 & h4(v3) = v108 & h4(v2) = v106 & h4(v1) = v104 & h4(v0) = v102 & h4(e13) = v31 & h4(e12) = v30 & h4(e11) = v25 & h4(e10) = e23 & op2(v31, v31) = v128 & op2(v31, v30) = v126 & op2(v31, v25) = v124 & op2(v31, e23) = v122 & op2(v30, v31) = v120 & op2(v30, v30) = v118 & op2(v30, v25) = v116 & op2(v30, e23) = v114 & op2(v30, e23) = v31 & op2(v29, v29) = v100 & op2(v29, v28) = v98 & op2(v29, v20) = v96 & op2(v29, e22) = v94 & op2(v28, v29) = v92 & op2(v28, v28) = v90 & op2(v28, v20) = v88 & op2(v28, e22) = v86 & op2(v28, e22) = v29 & op2(v27, v27) = v72 & op2(v27, v26) = v70 & op2(v27, v16) = v68 & op2(v27, e21) = v66 & op2(v26, v27) = v64 & op2(v26, v26) = v62 & op2(v26, v16) = v60 & op2(v26, e21) = v58 & op2(v26, e21) = v27 & op2(v25, v31) = v113 & op2(v25, v30) = v111 & op2(v25, v25) = v109 & op2(v25, e23) = v107 & op2(v20, v29) = v85 & op2(v20, v28) = v83 & op2(v20, v20) = v81 & op2(v20, e22) = v79 & op2(v16, v27) = v57 & op2(v16, v26) = v55 & op2(v16, v16) = v53 & op2(v16, e21) = v51 & op2(e23, v31) = v105 & op2(e23, v30) = v103 & op2(e23, v25) = v101 & op2(e23, v25) = v30 & op2(e23, e23) = v25 & op2(e23, e22) = v24 & op2(e23, e21) = v23 & op2(e23, e20) = v22 & op2(e22, v29) = v77 & op2(e22, v28) = v75 & op2(e22, v20) = v73 & op2(e22, v20) = v28 & op2(e22, e23) = v21 & op2(e22, e22) = v20 & op2(e22, e21) = v19 & op2(e22, e20) = e23 & op2(e21, v27) = v49 & op2(e21, v26) = v47 & op2(e21, v16) = v45 & op2(e21, v16) = v26 & op2(e21, e23) = v18 & op2(e21, e22) = v17 & op2(e21, e21) = v16 & op2(e21, e20) = v15 & op2(e20, e23) = v14 & op2(e20, e22) = v13 & op2(e20, e21) = e22 & op2(e20, e20) = e21 & ! [v129] : ! [v130] : ! [v131] : ! [v132] : (v130 = v129 | ~ (op1(v132, v131) = v130) | ~ (op1(v132, v131) = v129)) & ! [v129] : ! [v130] : ! [v131] : ! [v132] : (v130 = v129 | ~ (op2(v132, v131) = v130) | ~ (op2(v132, v131) = v129)) & ! [v129] : ! [v130] : ! [v131] : (v130 = v129 | ~ (h1(v131) = v130) | ~ (h1(v131) = v129)) & ! [v129] : ! [v130] : ! [v131] : (v130 = v129 | ~ (h2(v131) = v130) | ~ (h2(v131) = v129)) & ! [v129] : ! [v130] : ! [v131] : (v130 = v129 | ~ (h3(v131) = v130) | ~ (h3(v131) = v129)) & ! [v129] : ! [v130] : ! [v131] : (v130 = v129 | ~ (h4(v131) = v130) | ~ (h4(v131) = v129)) & ( ~ (v128 = v127) | ~ (v126 = v125) | ~ (v124 = v123) | ~ (v122 = v121) | ~ (v120 = v119) | ~ (v118 = v117) | ~ (v116 = v115) | ~ (v114 = v31) | ~ (v113 = v112) | ~ (v111 = v110) | ~ (v109 = v108) | ~ (v107 = v106) | ~ (v105 = v104) | ~ (v103 = v102) | ~ (v101 = v30) | ( ~ (v31 = e22) & ~ (v30 = e22) & ~ (v25 = e22)) | ( ~ (v31 = e21) & ~ (v30 = e21) & ~ (v25 = e21)) | ( ~ (v31 = e20) & ~ (v30 = e20) & ~ (v25 = e20))) & ( ~ (v100 = v99) | ~ (v98 = v97) | ~ (v96 = v95) | ~ (v94 = v93) | ~ (v92 = v91) | ~ (v90 = v89) | ~ (v88 = v87) | ~ (v86 = v29) | ~ (v85 = v84) | ~ (v83 = v82) | ~ (v81 = v80) | ~ (v79 = v78) | ~ (v77 = v76) | ~ (v75 = v74) | ~ (v73 = v28) | ( ~ (v29 = e23) & ~ (v28 = e23)) | ( ~ (v29 = e21) & ~ (v28 = e21) & ~ (v20 = e21)) | ( ~ (v29 = e20) & ~ (v28 = e20) & ~ (v20 = e20))) & ( ~ (v72 = v71) | ~ (v70 = v69) | ~ (v68 = v67) | ~ (v66 = v65) | ~ (v64 = v63) | ~ (v62 = v61) | ~ (v60 = v59) | ~ (v58 = v27) | ~ (v57 = v56) | ~ (v55 = v54) | ~ (v53 = v52) | ~ (v51 = v50) | ~ (v49 = v48) | ~ (v47 = v46) | ~ (v45 = v26) | ( ~ (v27 = e23) & ~ (v26 = e23) & ~ (v16 = e23)) | ( ~ (v27 = e22) & ~ (v26 = e22)) | ( ~ (v27 = e20) & ~ (v26 = e20) & ~ (v16 = e20))) & ( ~ (v44 = v25) | ~ (v43 = v24) | ~ (v42 = v23) | ~ (v41 = v22) | ~ (v40 = v21) | ~ (v39 = v20) | ~ (v38 = v19) | ~ (v37 = v18) | ~ (v36 = v17) | ~ (v35 = v16) | ~ (v34 = v15) | ~ (v33 = v14) | ~ (v32 = v13)) & (v25 = e23 | v25 = e22 | v25 = e21 | v25 = e20) & (v25 = e23 | v24 = e23 | v23 = e23) & (v25 = e23 | v18 = e23 | v14 = e23) & (v25 = e22 | v24 = e22 | v22 = e22) & (v25 = e22 | v21 = e22 | v18 = e22) & (v25 = e21 | v24 = e21 | v23 = e21) & (v25 = e21 | v21 = e21 | v18 = e21) & (v25 = e20 | v24 = e20 | v23 = e20 | v22 = e20) & (v25 = e20 | v21 = e20 | v18 = e20 | v14 = e20) & (v24 = e23 | v24 = e22 | v24 = e21 | v24 = e20) & (v24 = e23 | v17 = e23 | v13 = e23) & (v24 = e22 | v20 = e22 | v17 = e22) & (v24 = e21 | v20 = e21 | v17 = e21) & (v24 = e20 | v20 = e20 | v17 = e20 | v13 = e20) & (v23 = e23 | v23 = e21 | v23 = e20) & (v23 = e23 | v16 = e23) & (v23 = e21 | v19 = e21 | v16 = e21) & (v23 = e20 | v19 = e20 | v16 = e20) & (v22 = e22 | v22 = e20) & (v22 = e22 | v15 = e22) & (v22 = e20 | v15 = e20) & (v21 = e22 | v21 = e21 | v21 = e20) & (v21 = e22 | v20 = e22) & (v21 = e21 | v20 = e21 | v19 = e21) & (v21 = e20 | v20 = e20 | v19 = e20) & (v20 = e22 | v20 = e21 | v20 = e20) & (v19 = e21 | v19 = e20) & (v18 = e23 | v18 = e22 | v18 = e21 | v18 = e20) & (v18 = e23 | v17 = e23 | v16 = e23) & (v18 = e22 | v17 = e22 | v15 = e22) & (v18 = e21 | v17 = e21 | v16 = e21) & (v18 = e20 | v17 = e20 | v16 = e20 | v15 = e20) & (v17 = e23 | v17 = e22 | v17 = e21 | v17 = e20) & (v16 = e23 | v16 = e21 | v16 = e20) & (v15 = e22 | v15 = e20) & (v14 = e23 | v14 = e20) & (v14 = e23 | v13 = e23) & (v14 = e20 | v13 = e20) & (v13 = e23 | v13 = e20) & (v12 = e13 | v12 = e12 | v12 = e11 | v12 = e10) & (v12 = e13 | v11 = e13 | v10 = e13) & (v12 = e13 | v5 = e13 | v1 = e13) & (v12 = e12 | v11 = e12 | v9 = e12) & (v12 = e12 | v8 = e12 | v5 = e12) & (v12 = e11 | v11 = e11 | v10 = e11) & (v12 = e11 | v8 = e11 | v5 = e11) & (v12 = e10 | v11 = e10 | v10 = e10 | v9 = e10) & (v12 = e10 | v8 = e10 | v5 = e10 | v1 = e10) & (v11 = e13 | v11 = e12 | v11 = e11 | v11 = e10) & (v11 = e13 | v4 = e13 | v0 = e13) & (v11 = e12 | v7 = e12 | v4 = e12) & (v11 = e11 | v7 = e11 | v4 = e11) & (v11 = e10 | v7 = e10 | v4 = e10 | v0 = e10) & (v10 = e13 | v10 = e11 | v10 = e10) & (v10 = e13 | v3 = e13) & (v10 = e11 | v6 = e11 | v3 = e11) & (v10 = e10 | v6 = e10 | v3 = e10) & (v9 = e12 | v9 = e10) & (v9 = e12 | v2 = e12) & (v9 = e10 | v2 = e10) & (v8 = e12 | v8 = e11 | v8 = e10) & (v8 = e12 | v7 = e12) & (v8 = e11 | v7 = e11 | v6 = e11) & (v8 = e10 | v7 = e10 | v6 = e10) & (v7 = e12 | v7 = e11 | v7 = e10) & (v6 = e11 | v6 = e10) & (v5 = e13 | v5 = e12 | v5 = e11 | v5 = e10) & (v5 = e13 | v4 = e13 | v3 = e13) & (v5 = e12 | v4 = e12 | v2 = e12) & (v5 = e11 | v4 = e11 | v3 = e11) & (v5 = e10 | v4 = e10 | v3 = e10 | v2 = e10) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 = e10) & (v3 = e13 | v3 = e11 | v3 = e10) & (v2 = e12 | v2 = e10) & (v1 = e13 | v1 = e10) & (v1 = e13 | v0 = e13) & (v1 = e10 | v0 = e10) & (v0 = e13 | v0 = e10) & ((v25 = e23 & ( ~ (v16 = e23) | v18 = e21)) | (v20 = e22 & ( ~ (v25 = e22) | v24 = e23))) & ((v25 = e22 & v17 = e21 & ~ (v24 = e23)) | (v25 = e22 & v13 = e20 & ~ (v24 = e23)) | (v23 = e23 & v20 = e21 & ~ (v25 = e21)) | (v23 = e23 & ~ (v25 = e21)) | (v21 = e22 & v16 = e23 & ~ (v18 = e21)) | (v16 = e23 & v14 = e20 & ~ (v18 = e21))) & ((v12 = e13 & ( ~ (v3 = e13) | v5 = e11)) | (v7 = e12 & ( ~ (v12 = e12) | v11 = e13))) & ((v12 = e12 & v4 = e11 & ~ (v11 = e13)) | (v12 = e12 & v0 = e10 & ~ (v11 = e13)) | (v10 = e13 & v7 = e11 & ~ (v12 = e11)) | (v10 = e13 & ~ (v12 = e11)) | (v8 = e12 & v3 = e13 & ~ (v5 = e11)) | (v3 = e13 & v1 = e10 & ~ (v5 = e11)))) % 13.87/3.75 | 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 yields: % 13.87/3.75 | (1) ~ (all_0_103_103 = all_0_104_104) & ~ (all_0_103_103 = all_0_105_105) & ~ (all_0_103_103 = all_0_106_106) & ~ (all_0_103_103 = all_0_107_107) & ~ (all_0_103_103 = all_0_110_110) & ~ (all_0_103_103 = all_0_114_114) & ~ (all_0_104_104 = all_0_105_105) & ~ (all_0_104_104 = all_0_106_106) & ~ (all_0_104_104 = all_0_108_108) & ~ (all_0_104_104 = all_0_111_111) & ~ (all_0_104_104 = all_0_115_115) & ~ (all_0_105_105 = all_0_106_106) & ~ (all_0_105_105 = all_0_109_109) & ~ (all_0_105_105 = all_0_112_112) & ~ (all_0_105_105 = e22) & ~ (all_0_106_106 = all_0_113_113) & ~ (all_0_106_106 = e23) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = all_0_108_108) & ~ (all_0_107_107 = all_0_109_109) & ~ (all_0_107_107 = all_0_110_110) & ~ (all_0_107_107 = all_0_114_114) & ~ (all_0_107_107 = e23) & ~ (all_0_108_108 = all_0_109_109) & ~ (all_0_108_108 = all_0_111_111) & ~ (all_0_108_108 = all_0_115_115) & ~ (all_0_108_108 = e23) & ~ (all_0_109_109 = all_0_112_112) & ~ (all_0_109_109 = e23) & ~ (all_0_109_109 = e22) & ~ (all_0_110_110 = all_0_111_111) & ~ (all_0_110_110 = all_0_112_112) & ~ (all_0_110_110 = all_0_113_113) & ~ (all_0_110_110 = all_0_114_114) & ~ (all_0_111_111 = all_0_112_112) & ~ (all_0_111_111 = all_0_113_113) & ~ (all_0_111_111 = all_0_115_115) & ~ (all_0_112_112 = all_0_113_113) & ~ (all_0_112_112 = e22) & ~ (all_0_113_113 = e23) & ~ (all_0_113_113 = e21) & ~ (all_0_114_114 = all_0_115_115) & ~ (all_0_114_114 = e22) & ~ (all_0_114_114 = e21) & ~ (all_0_115_115 = e22) & ~ (all_0_115_115 = e21) & ~ (all_0_116_116 = all_0_117_117) & ~ (all_0_116_116 = all_0_118_118) & ~ (all_0_116_116 = all_0_119_119) & ~ (all_0_116_116 = all_0_120_120) & ~ (all_0_116_116 = all_0_123_123) & ~ (all_0_116_116 = all_0_127_127) & ~ (all_0_117_117 = all_0_118_118) & ~ (all_0_117_117 = all_0_119_119) & ~ (all_0_117_117 = all_0_121_121) & ~ (all_0_117_117 = all_0_124_124) & ~ (all_0_117_117 = all_0_128_128) & ~ (all_0_118_118 = all_0_119_119) & ~ (all_0_118_118 = all_0_122_122) & ~ (all_0_118_118 = all_0_125_125) & ~ (all_0_118_118 = e12) & ~ (all_0_119_119 = all_0_126_126) & ~ (all_0_119_119 = e13) & ~ (all_0_119_119 = e11) & ~ (all_0_120_120 = all_0_121_121) & ~ (all_0_120_120 = all_0_122_122) & ~ (all_0_120_120 = all_0_123_123) & ~ (all_0_120_120 = all_0_127_127) & ~ (all_0_120_120 = e13) & ~ (all_0_121_121 = all_0_122_122) & ~ (all_0_121_121 = all_0_124_124) & ~ (all_0_121_121 = all_0_128_128) & ~ (all_0_121_121 = e13) & ~ (all_0_122_122 = all_0_125_125) & ~ (all_0_122_122 = e13) & ~ (all_0_122_122 = e12) & ~ (all_0_123_123 = all_0_124_124) & ~ (all_0_123_123 = all_0_125_125) & ~ (all_0_123_123 = all_0_126_126) & ~ (all_0_123_123 = all_0_127_127) & ~ (all_0_124_124 = all_0_125_125) & ~ (all_0_124_124 = all_0_126_126) & ~ (all_0_124_124 = all_0_128_128) & ~ (all_0_125_125 = all_0_126_126) & ~ (all_0_125_125 = e12) & ~ (all_0_126_126 = e13) & ~ (all_0_126_126 = e11) & ~ (all_0_127_127 = all_0_128_128) & ~ (all_0_127_127 = e12) & ~ (all_0_127_127 = e11) & ~ (all_0_128_128 = e12) & ~ (all_0_128_128 = 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, e13) = all_0_116_116 & op1(e13, e12) = all_0_117_117 & op1(e13, e11) = all_0_118_118 & op1(e13, e10) = all_0_119_119 & op1(e12, e13) = all_0_120_120 & op1(e12, e12) = all_0_121_121 & op1(e12, e11) = all_0_122_122 & op1(e12, e10) = e13 & op1(e11, e13) = all_0_123_123 & op1(e11, e12) = all_0_124_124 & op1(e11, e11) = all_0_125_125 & op1(e11, e10) = all_0_126_126 & op1(e10, e13) = all_0_127_127 & op1(e10, e12) = all_0_128_128 & op1(e10, e11) = e12 & op1(e10, e10) = e11 & h1(all_0_116_116) = all_0_84_84 & h1(all_0_117_117) = all_0_85_85 & h1(all_0_118_118) = all_0_86_86 & h1(all_0_119_119) = all_0_87_87 & h1(all_0_120_120) = all_0_88_88 & h1(all_0_121_121) = all_0_89_89 & h1(all_0_122_122) = all_0_90_90 & h1(all_0_123_123) = all_0_91_91 & h1(all_0_124_124) = all_0_92_92 & h1(all_0_125_125) = all_0_93_93 & h1(all_0_126_126) = all_0_94_94 & h1(all_0_127_127) = all_0_95_95 & h1(all_0_128_128) = all_0_96_96 & h1(e13) = e23 & h1(e12) = e22 & h1(e11) = e21 & h1(e10) = e20 & h2(all_0_116_116) = all_0_57_57 & h2(all_0_117_117) = all_0_59_59 & h2(all_0_118_118) = all_0_61_61 & h2(all_0_119_119) = all_0_63_63 & h2(all_0_120_120) = all_0_65_65 & h2(all_0_121_121) = all_0_67_67 & h2(all_0_122_122) = all_0_69_69 & h2(all_0_123_123) = all_0_72_72 & h2(all_0_124_124) = all_0_74_74 & h2(all_0_125_125) = all_0_76_76 & h2(all_0_126_126) = all_0_78_78 & h2(all_0_127_127) = all_0_80_80 & h2(all_0_128_128) = all_0_82_82 & h2(e13) = all_0_101_101 & h2(e12) = all_0_102_102 & h2(e11) = all_0_112_112 & h2(e10) = e21 & h3(all_0_116_116) = all_0_29_29 & h3(all_0_117_117) = all_0_31_31 & h3(all_0_118_118) = all_0_33_33 & h3(all_0_119_119) = all_0_35_35 & h3(all_0_120_120) = all_0_37_37 & h3(all_0_121_121) = all_0_39_39 & h3(all_0_122_122) = all_0_41_41 & h3(all_0_123_123) = all_0_44_44 & h3(all_0_124_124) = all_0_46_46 & h3(all_0_125_125) = all_0_48_48 & h3(all_0_126_126) = all_0_50_50 & h3(all_0_127_127) = all_0_52_52 & h3(all_0_128_128) = all_0_54_54 & h3(e13) = all_0_99_99 & h3(e12) = all_0_100_100 & h3(e11) = all_0_108_108 & h3(e10) = e22 & h4(all_0_116_116) = all_0_1_1 & h4(all_0_117_117) = all_0_3_3 & h4(all_0_118_118) = all_0_5_5 & h4(all_0_119_119) = all_0_7_7 & h4(all_0_120_120) = all_0_9_9 & h4(all_0_121_121) = all_0_11_11 & h4(all_0_122_122) = all_0_13_13 & h4(all_0_123_123) = all_0_16_16 & h4(all_0_124_124) = all_0_18_18 & h4(all_0_125_125) = all_0_20_20 & h4(all_0_126_126) = all_0_22_22 & h4(all_0_127_127) = all_0_24_24 & h4(all_0_128_128) = all_0_26_26 & h4(e13) = all_0_97_97 & h4(e12) = all_0_98_98 & h4(e11) = all_0_103_103 & h4(e10) = e23 & op2(all_0_97_97, all_0_97_97) = all_0_0_0 & op2(all_0_97_97, all_0_98_98) = all_0_2_2 & op2(all_0_97_97, all_0_103_103) = all_0_4_4 & op2(all_0_97_97, e23) = all_0_6_6 & op2(all_0_98_98, all_0_97_97) = all_0_8_8 & op2(all_0_98_98, all_0_98_98) = all_0_10_10 & op2(all_0_98_98, all_0_103_103) = all_0_12_12 & op2(all_0_98_98, e23) = all_0_14_14 & op2(all_0_98_98, e23) = all_0_97_97 & op2(all_0_99_99, all_0_99_99) = all_0_28_28 & op2(all_0_99_99, all_0_100_100) = all_0_30_30 & op2(all_0_99_99, all_0_108_108) = all_0_32_32 & op2(all_0_99_99, e22) = all_0_34_34 & op2(all_0_100_100, all_0_99_99) = all_0_36_36 & op2(all_0_100_100, all_0_100_100) = all_0_38_38 & op2(all_0_100_100, all_0_108_108) = all_0_40_40 & op2(all_0_100_100, e22) = all_0_42_42 & op2(all_0_100_100, e22) = all_0_99_99 & op2(all_0_101_101, all_0_101_101) = all_0_56_56 & op2(all_0_101_101, all_0_102_102) = all_0_58_58 & op2(all_0_101_101, all_0_112_112) = all_0_60_60 & op2(all_0_101_101, e21) = all_0_62_62 & op2(all_0_102_102, all_0_101_101) = all_0_64_64 & op2(all_0_102_102, all_0_102_102) = all_0_66_66 & op2(all_0_102_102, all_0_112_112) = all_0_68_68 & op2(all_0_102_102, e21) = all_0_70_70 & op2(all_0_102_102, e21) = all_0_101_101 & op2(all_0_103_103, all_0_97_97) = all_0_15_15 & op2(all_0_103_103, all_0_98_98) = all_0_17_17 & op2(all_0_103_103, all_0_103_103) = all_0_19_19 & op2(all_0_103_103, e23) = all_0_21_21 & op2(all_0_108_108, all_0_99_99) = all_0_43_43 & op2(all_0_108_108, all_0_100_100) = all_0_45_45 & op2(all_0_108_108, all_0_108_108) = all_0_47_47 & op2(all_0_108_108, e22) = all_0_49_49 & op2(all_0_112_112, all_0_101_101) = all_0_71_71 & op2(all_0_112_112, all_0_102_102) = all_0_73_73 & op2(all_0_112_112, all_0_112_112) = all_0_75_75 & op2(all_0_112_112, e21) = all_0_77_77 & op2(e23, all_0_97_97) = all_0_23_23 & op2(e23, all_0_98_98) = all_0_25_25 & op2(e23, all_0_103_103) = all_0_27_27 & op2(e23, all_0_103_103) = all_0_98_98 & op2(e23, e23) = all_0_103_103 & op2(e23, e22) = all_0_104_104 & op2(e23, e21) = all_0_105_105 & op2(e23, e20) = all_0_106_106 & op2(e22, all_0_99_99) = all_0_51_51 & op2(e22, all_0_100_100) = all_0_53_53 & op2(e22, all_0_108_108) = all_0_55_55 & op2(e22, all_0_108_108) = all_0_100_100 & op2(e22, e23) = all_0_107_107 & op2(e22, e22) = all_0_108_108 & op2(e22, e21) = all_0_109_109 & op2(e22, e20) = e23 & op2(e21, all_0_101_101) = all_0_79_79 & op2(e21, all_0_102_102) = all_0_81_81 & op2(e21, all_0_112_112) = all_0_83_83 & op2(e21, all_0_112_112) = all_0_102_102 & op2(e21, e23) = all_0_110_110 & op2(e21, e22) = all_0_111_111 & op2(e21, e21) = all_0_112_112 & op2(e21, e20) = all_0_113_113 & op2(e20, e23) = all_0_114_114 & op2(e20, e22) = all_0_115_115 & op2(e20, e21) = e22 & op2(e20, e20) = e21 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0)) & ( ~ (all_0_0_0 = all_0_1_1) | ~ (all_0_2_2 = all_0_3_3) | ~ (all_0_4_4 = all_0_5_5) | ~ (all_0_6_6 = all_0_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_97_97) | ~ (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_98_98) | ( ~ (all_0_97_97 = e22) & ~ (all_0_98_98 = e22) & ~ (all_0_103_103 = e22)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e21) & ~ (all_0_103_103 = e21)) | ( ~ (all_0_97_97 = e20) & ~ (all_0_98_98 = e20) & ~ (all_0_103_103 = e20))) & ( ~ (all_0_28_28 = all_0_29_29) | ~ (all_0_30_30 = all_0_31_31) | ~ (all_0_32_32 = all_0_33_33) | ~ (all_0_34_34 = all_0_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_99_99) | ~ (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_100_100) | ( ~ (all_0_99_99 = e23) & ~ (all_0_100_100 = e23)) | ( ~ (all_0_99_99 = e21) & ~ (all_0_100_100 = e21) & ~ (all_0_108_108 = e21)) | ( ~ (all_0_99_99 = e20) & ~ (all_0_100_100 = e20) & ~ (all_0_108_108 = e20))) & ( ~ (all_0_56_56 = all_0_57_57) | ~ (all_0_58_58 = all_0_59_59) | ~ (all_0_60_60 = all_0_61_61) | ~ (all_0_62_62 = all_0_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_101_101) | ~ (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_102_102) | ( ~ (all_0_101_101 = e23) & ~ (all_0_102_102 = e23) & ~ (all_0_112_112 = e23)) | ( ~ (all_0_101_101 = e22) & ~ (all_0_102_102 = e22)) | ( ~ (all_0_101_101 = e20) & ~ (all_0_102_102 = e20) & ~ (all_0_112_112 = e20))) & ( ~ (all_0_84_84 = all_0_103_103) | ~ (all_0_85_85 = all_0_104_104) | ~ (all_0_86_86 = all_0_105_105) | ~ (all_0_87_87 = all_0_106_106) | ~ (all_0_88_88 = all_0_107_107) | ~ (all_0_89_89 = all_0_108_108) | ~ (all_0_90_90 = all_0_109_109) | ~ (all_0_91_91 = all_0_110_110) | ~ (all_0_92_92 = all_0_111_111) | ~ (all_0_93_93 = all_0_112_112) | ~ (all_0_94_94 = all_0_113_113) | ~ (all_0_95_95 = all_0_114_114) | ~ (all_0_96_96 = all_0_115_115)) & (all_0_103_103 = e23 | all_0_103_103 = e22 | all_0_103_103 = e21 | all_0_103_103 = e20) & (all_0_103_103 = e23 | all_0_104_104 = e23 | all_0_105_105 = e23) & (all_0_103_103 = e23 | all_0_110_110 = e23 | all_0_114_114 = e23) & (all_0_103_103 = e22 | all_0_104_104 = e22 | all_0_106_106 = e22) & (all_0_103_103 = e22 | all_0_107_107 = e22 | all_0_110_110 = e22) & (all_0_103_103 = e21 | all_0_104_104 = e21 | all_0_105_105 = e21) & (all_0_103_103 = e21 | all_0_107_107 = e21 | all_0_110_110 = e21) & (all_0_103_103 = e20 | all_0_104_104 = e20 | all_0_105_105 = e20 | all_0_106_106 = e20) & (all_0_103_103 = e20 | all_0_107_107 = e20 | all_0_110_110 = e20 | all_0_114_114 = e20) & (all_0_104_104 = e23 | all_0_104_104 = e22 | all_0_104_104 = e21 | all_0_104_104 = e20) & (all_0_104_104 = e23 | all_0_111_111 = e23 | all_0_115_115 = e23) & (all_0_104_104 = e22 | all_0_108_108 = e22 | all_0_111_111 = e22) & (all_0_104_104 = e21 | all_0_108_108 = e21 | all_0_111_111 = e21) & (all_0_104_104 = e20 | all_0_108_108 = e20 | all_0_111_111 = e20 | all_0_115_115 = e20) & (all_0_105_105 = e23 | all_0_105_105 = e21 | all_0_105_105 = e20) & (all_0_105_105 = e23 | all_0_112_112 = e23) & (all_0_105_105 = e21 | all_0_109_109 = e21 | all_0_112_112 = e21) & (all_0_105_105 = e20 | all_0_109_109 = e20 | all_0_112_112 = e20) & (all_0_106_106 = e22 | all_0_106_106 = e20) & (all_0_106_106 = e22 | all_0_113_113 = e22) & (all_0_106_106 = e20 | all_0_113_113 = e20) & (all_0_107_107 = e22 | all_0_107_107 = e21 | all_0_107_107 = e20) & (all_0_107_107 = e22 | all_0_108_108 = e22) & (all_0_107_107 = e21 | all_0_108_108 = e21 | all_0_109_109 = e21) & (all_0_107_107 = e20 | all_0_108_108 = e20 | all_0_109_109 = e20) & (all_0_108_108 = e22 | all_0_108_108 = e21 | all_0_108_108 = e20) & (all_0_109_109 = e21 | all_0_109_109 = e20) & (all_0_110_110 = e23 | all_0_110_110 = e22 | all_0_110_110 = e21 | all_0_110_110 = e20) & (all_0_110_110 = e23 | all_0_111_111 = e23 | all_0_112_112 = e23) & (all_0_110_110 = e22 | all_0_111_111 = e22 | all_0_113_113 = e22) & (all_0_110_110 = e21 | all_0_111_111 = e21 | all_0_112_112 = e21) & (all_0_110_110 = e20 | all_0_111_111 = e20 | all_0_112_112 = e20 | all_0_113_113 = e20) & (all_0_111_111 = e23 | all_0_111_111 = e22 | all_0_111_111 = e21 | all_0_111_111 = e20) & (all_0_112_112 = e23 | all_0_112_112 = e21 | all_0_112_112 = e20) & (all_0_113_113 = e22 | all_0_113_113 = e20) & (all_0_114_114 = e23 | all_0_114_114 = e20) & (all_0_114_114 = e23 | all_0_115_115 = e23) & (all_0_114_114 = e20 | all_0_115_115 = e20) & (all_0_115_115 = e23 | all_0_115_115 = e20) & (all_0_116_116 = e13 | all_0_116_116 = e12 | all_0_116_116 = e11 | all_0_116_116 = e10) & (all_0_116_116 = e13 | all_0_117_117 = e13 | all_0_118_118 = e13) & (all_0_116_116 = e13 | all_0_123_123 = e13 | all_0_127_127 = e13) & (all_0_116_116 = e12 | all_0_117_117 = e12 | all_0_119_119 = e12) & (all_0_116_116 = e12 | all_0_120_120 = e12 | all_0_123_123 = e12) & (all_0_116_116 = e11 | all_0_117_117 = e11 | all_0_118_118 = e11) & (all_0_116_116 = e11 | all_0_120_120 = e11 | all_0_123_123 = e11) & (all_0_116_116 = e10 | all_0_117_117 = e10 | all_0_118_118 = e10 | all_0_119_119 = e10) & (all_0_116_116 = e10 | all_0_120_120 = e10 | all_0_123_123 = e10 | all_0_127_127 = e10) & (all_0_117_117 = e13 | all_0_117_117 = e12 | all_0_117_117 = e11 | all_0_117_117 = e10) & (all_0_117_117 = e13 | all_0_124_124 = e13 | all_0_128_128 = e13) & (all_0_117_117 = e12 | all_0_121_121 = e12 | all_0_124_124 = e12) & (all_0_117_117 = e11 | all_0_121_121 = e11 | all_0_124_124 = e11) & (all_0_117_117 = e10 | all_0_121_121 = e10 | all_0_124_124 = e10 | all_0_128_128 = e10) & (all_0_118_118 = e13 | all_0_118_118 = e11 | all_0_118_118 = e10) & (all_0_118_118 = e13 | all_0_125_125 = e13) & (all_0_118_118 = e11 | all_0_122_122 = e11 | all_0_125_125 = e11) & (all_0_118_118 = e10 | all_0_122_122 = e10 | all_0_125_125 = e10) & (all_0_119_119 = e12 | all_0_119_119 = e10) & (all_0_119_119 = e12 | all_0_126_126 = e12) & (all_0_119_119 = e10 | all_0_126_126 = e10) & (all_0_120_120 = e12 | all_0_120_120 = e11 | all_0_120_120 = e10) & (all_0_120_120 = e12 | all_0_121_121 = e12) & (all_0_120_120 = e11 | all_0_121_121 = e11 | all_0_122_122 = e11) & (all_0_120_120 = e10 | all_0_121_121 = e10 | all_0_122_122 = e10) & (all_0_121_121 = e12 | all_0_121_121 = e11 | all_0_121_121 = e10) & (all_0_122_122 = e11 | all_0_122_122 = e10) & (all_0_123_123 = e13 | all_0_123_123 = e12 | all_0_123_123 = e11 | all_0_123_123 = e10) & (all_0_123_123 = e13 | all_0_124_124 = e13 | all_0_125_125 = e13) & (all_0_123_123 = e12 | all_0_124_124 = e12 | all_0_126_126 = e12) & (all_0_123_123 = e11 | all_0_124_124 = e11 | all_0_125_125 = e11) & (all_0_123_123 = e10 | all_0_124_124 = e10 | all_0_125_125 = e10 | all_0_126_126 = e10) & (all_0_124_124 = e13 | all_0_124_124 = e12 | all_0_124_124 = e11 | all_0_124_124 = e10) & (all_0_125_125 = e13 | all_0_125_125 = e11 | all_0_125_125 = e10) & (all_0_126_126 = e12 | all_0_126_126 = e10) & (all_0_127_127 = e13 | all_0_127_127 = e10) & (all_0_127_127 = e13 | all_0_128_128 = e13) & (all_0_127_127 = e10 | all_0_128_128 = e10) & (all_0_128_128 = e13 | all_0_128_128 = e10) & ((all_0_103_103 = e23 & ( ~ (all_0_112_112 = e23) | all_0_110_110 = e21)) | (all_0_108_108 = e22 & ( ~ (all_0_103_103 = e22) | all_0_104_104 = e23))) & ((all_0_103_103 = e22 & all_0_111_111 = e21 & ~ (all_0_104_104 = e23)) | (all_0_103_103 = e22 & all_0_115_115 = e20 & ~ (all_0_104_104 = e23)) | (all_0_105_105 = e23 & all_0_108_108 = e21 & ~ (all_0_103_103 = e21)) | (all_0_105_105 = e23 & ~ (all_0_103_103 = e21)) | (all_0_107_107 = e22 & all_0_112_112 = e23 & ~ (all_0_110_110 = e21)) | (all_0_112_112 = e23 & all_0_114_114 = e20 & ~ (all_0_110_110 = e21))) & ((all_0_116_116 = e13 & ( ~ (all_0_125_125 = e13) | all_0_123_123 = e11)) | (all_0_121_121 = e12 & ( ~ (all_0_116_116 = e12) | all_0_117_117 = e13))) & ((all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) | (all_0_118_118 = e13 & ~ (all_0_116_116 = e11)) | (all_0_120_120 = e12 & all_0_125_125 = e13 & ~ (all_0_123_123 = e11)) | (all_0_125_125 = e13 & all_0_127_127 = e10 & ~ (all_0_123_123 = e11))) % 13.87/3.79 | % 13.87/3.79 | Applying alpha-rule on (1) yields: % 13.87/3.79 | (2) all_0_111_111 = e23 | all_0_111_111 = e22 | all_0_111_111 = e21 | all_0_111_111 = e20 % 13.87/3.79 | (3) op2(e22, e22) = all_0_108_108 % 13.87/3.79 | (4) ~ (all_0_115_115 = e21) % 13.87/3.79 | (5) op1(e10, e12) = all_0_128_128 % 13.87/3.79 | (6) op2(all_0_112_112, all_0_101_101) = all_0_71_71 % 13.87/3.79 | (7) h4(e11) = all_0_103_103 % 13.87/3.79 | (8) all_0_110_110 = e21 | all_0_111_111 = e21 | all_0_112_112 = e21 % 13.87/3.79 | (9) all_0_106_106 = e22 | all_0_113_113 = e22 % 13.87/3.79 | (10) op2(e21, all_0_112_112) = all_0_102_102 % 13.87/3.79 | (11) op1(e10, e11) = e12 % 13.87/3.79 | (12) ~ (e22 = e13) % 13.87/3.79 | (13) h2(all_0_117_117) = all_0_59_59 % 13.87/3.79 | (14) op1(e13, e13) = all_0_116_116 % 13.87/3.79 | (15) ~ (all_0_107_107 = all_0_110_110) % 13.87/3.79 | (16) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0)) % 13.87/3.79 | (17) all_0_104_104 = e22 | all_0_108_108 = e22 | all_0_111_111 = e22 % 13.87/3.79 | (18) all_0_109_109 = e21 | all_0_109_109 = e20 % 13.87/3.79 | (19) ~ (all_0_123_123 = all_0_125_125) % 13.87/3.79 | (20) h1(all_0_122_122) = all_0_90_90 % 13.87/3.79 | (21) all_0_123_123 = e11 | all_0_124_124 = e11 | all_0_125_125 = e11 % 13.87/3.79 | (22) ~ (all_0_122_122 = e13) % 13.87/3.79 | (23) op2(all_0_98_98, all_0_98_98) = all_0_10_10 % 13.87/3.79 | (24) op2(all_0_102_102, all_0_102_102) = all_0_66_66 % 13.87/3.79 | (25) ~ (all_0_127_127 = e12) % 13.87/3.79 | (26) all_0_105_105 = e23 | all_0_112_112 = e23 % 13.87/3.79 | (27) h3(all_0_128_128) = all_0_54_54 % 13.87/3.79 | (28) all_0_105_105 = e20 | all_0_109_109 = e20 | all_0_112_112 = e20 % 13.87/3.79 | (29) (all_0_103_103 = e22 & all_0_111_111 = e21 & ~ (all_0_104_104 = e23)) | (all_0_103_103 = e22 & all_0_115_115 = e20 & ~ (all_0_104_104 = e23)) | (all_0_105_105 = e23 & all_0_108_108 = e21 & ~ (all_0_103_103 = e21)) | (all_0_105_105 = e23 & ~ (all_0_103_103 = e21)) | (all_0_107_107 = e22 & all_0_112_112 = e23 & ~ (all_0_110_110 = e21)) | (all_0_112_112 = e23 & all_0_114_114 = e20 & ~ (all_0_110_110 = e21)) % 13.87/3.79 | (30) h3(all_0_126_126) = all_0_50_50 % 13.87/3.79 | (31) all_0_107_107 = e21 | all_0_108_108 = e21 | all_0_109_109 = e21 % 13.87/3.79 | (32) all_0_108_108 = e22 | all_0_108_108 = e21 | all_0_108_108 = e20 % 13.87/3.79 | (33) ~ (e21 = e11) % 13.87/3.79 | (34) op2(all_0_112_112, all_0_112_112) = all_0_75_75 % 13.87/3.79 | (35) all_0_121_121 = e12 | all_0_121_121 = e11 | all_0_121_121 = e10 % 13.87/3.79 | (36) all_0_114_114 = e23 | all_0_115_115 = e23 % 13.87/3.79 | (37) op2(all_0_103_103, all_0_98_98) = all_0_17_17 % 13.87/3.79 | (38) ~ (all_0_104_104 = all_0_111_111) % 13.87/3.79 | (39) all_0_116_116 = e11 | all_0_117_117 = e11 | all_0_118_118 = e11 % 13.87/3.79 | (40) ~ (all_0_120_120 = all_0_121_121) % 13.87/3.79 | (41) ~ (all_0_114_114 = e22) % 13.87/3.79 | (42) ~ (all_0_115_115 = e22) % 13.87/3.79 | (43) op2(all_0_98_98, all_0_103_103) = all_0_12_12 % 13.87/3.79 | (44) op1(e10, e13) = all_0_127_127 % 13.87/3.79 | (45) h3(e13) = all_0_99_99 % 13.87/3.79 | (46) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0)) % 13.87/3.79 | (47) op1(e11, e10) = all_0_126_126 % 13.87/3.79 | (48) ~ (all_0_120_120 = e13) % 13.87/3.79 | (49) op2(all_0_100_100, all_0_100_100) = all_0_38_38 % 13.87/3.79 | (50) h4(all_0_123_123) = all_0_16_16 % 13.87/3.79 | (51) h3(all_0_123_123) = all_0_44_44 % 13.87/3.79 | (52) ~ (all_0_105_105 = all_0_109_109) % 13.87/3.79 | (53) op1(e13, e10) = all_0_119_119 % 13.87/3.79 | (54) ~ (all_0_103_103 = all_0_104_104) % 13.87/3.80 | (55) op2(all_0_101_101, all_0_112_112) = all_0_60_60 % 13.87/3.80 | (56) h2(all_0_118_118) = all_0_61_61 % 13.87/3.80 | (57) op1(e13, e12) = all_0_117_117 % 13.87/3.80 | (58) all_0_117_117 = e12 | all_0_121_121 = e12 | all_0_124_124 = e12 % 13.87/3.80 | (59) op1(e13, e11) = all_0_118_118 % 13.87/3.80 | (60) op2(e21, e21) = all_0_112_112 % 13.87/3.80 | (61) op2(all_0_98_98, e23) = all_0_97_97 % 13.87/3.80 | (62) op1(e12, e13) = all_0_120_120 % 13.87/3.80 | (63) all_0_120_120 = e12 | all_0_121_121 = e12 % 13.87/3.80 | (64) all_0_119_119 = e12 | all_0_126_126 = e12 % 13.87/3.80 | (65) op2(all_0_99_99, all_0_100_100) = all_0_30_30 % 13.87/3.80 | (66) h1(e11) = e21 % 13.87/3.80 | (67) h1(all_0_126_126) = all_0_94_94 % 13.87/3.80 | (68) ~ (all_0_127_127 = all_0_128_128) % 13.87/3.80 | (69) h4(all_0_128_128) = all_0_26_26 % 13.87/3.80 | (70) ~ (e12 = e11) % 13.87/3.80 | (71) all_0_117_117 = e10 | all_0_121_121 = e10 | all_0_124_124 = e10 | all_0_128_128 = e10 % 13.87/3.80 | (72) ~ (all_0_103_103 = all_0_114_114) % 13.87/3.80 | (73) h2(all_0_119_119) = all_0_63_63 % 13.87/3.80 | (74) ~ (all_0_128_128 = e12) % 13.87/3.80 | (75) h1(e10) = e20 % 13.87/3.80 | (76) op2(all_0_97_97, all_0_103_103) = all_0_4_4 % 13.87/3.80 | (77) h2(all_0_122_122) = all_0_69_69 % 13.87/3.80 | (78) op2(all_0_99_99, all_0_99_99) = all_0_28_28 % 13.87/3.80 | (79) ~ (e23 = e10) % 13.87/3.80 | (80) h4(e13) = all_0_97_97 % 13.87/3.80 | (81) ~ (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_97_97) | ~ (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_98_98) | ( ~ (all_0_97_97 = e22) & ~ (all_0_98_98 = e22) & ~ (all_0_103_103 = e22)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e21) & ~ (all_0_103_103 = e21)) | ( ~ (all_0_97_97 = e20) & ~ (all_0_98_98 = e20) & ~ (all_0_103_103 = e20)) % 13.87/3.80 | (82) h4(all_0_116_116) = all_0_1_1 % 13.87/3.80 | (83) all_0_117_117 = e13 | all_0_117_117 = e12 | all_0_117_117 = e11 | all_0_117_117 = e10 % 13.87/3.80 | (84) (all_0_103_103 = e23 & ( ~ (all_0_112_112 = e23) | all_0_110_110 = e21)) | (all_0_108_108 = e22 & ( ~ (all_0_103_103 = e22) | all_0_104_104 = e23)) % 13.87/3.80 | (85) h3(all_0_125_125) = all_0_48_48 % 13.87/3.80 | (86) ~ (all_0_122_122 = all_0_125_125) % 13.87/3.80 | (87) ~ (all_0_110_110 = all_0_113_113) % 13.87/3.80 | (88) op1(e11, e13) = all_0_123_123 % 13.87/3.80 | (89) all_0_124_124 = e13 | all_0_124_124 = e12 | all_0_124_124 = e11 | all_0_124_124 = e10 % 13.87/3.80 | (90) ~ (all_0_110_110 = all_0_114_114) % 13.87/3.80 | (91) ~ (e23 = e13) % 13.87/3.80 | (92) op2(e22, all_0_108_108) = all_0_100_100 % 13.87/3.80 | (93) all_0_104_104 = e23 | all_0_104_104 = e22 | all_0_104_104 = e21 | all_0_104_104 = e20 % 13.87/3.80 | (94) h2(all_0_123_123) = all_0_72_72 % 13.87/3.80 | (95) op2(e22, e20) = e23 % 13.87/3.80 | (96) h4(all_0_122_122) = all_0_13_13 % 13.87/3.80 | (97) ~ (e13 = e10) % 13.87/3.80 | (98) all_0_103_103 = e20 | all_0_104_104 = e20 | all_0_105_105 = e20 | all_0_106_106 = e20 % 13.87/3.80 | (99) all_0_104_104 = e23 | all_0_111_111 = e23 | all_0_115_115 = e23 % 13.87/3.80 | (100) h2(all_0_127_127) = all_0_80_80 % 13.87/3.80 | (101) all_0_120_120 = e12 | all_0_120_120 = e11 | all_0_120_120 = e10 % 13.87/3.80 | (102) all_0_118_118 = e13 | all_0_125_125 = e13 % 13.87/3.80 | (103) op2(e21, e20) = all_0_113_113 % 13.87/3.80 | (104) all_0_114_114 = e23 | all_0_114_114 = e20 % 13.87/3.80 | (105) ~ (all_0_104_104 = all_0_108_108) % 13.87/3.80 | (106) h1(all_0_128_128) = all_0_96_96 % 13.87/3.81 | (107) op2(all_0_97_97, all_0_98_98) = all_0_2_2 % 13.87/3.81 | (108) h2(e10) = e21 % 13.87/3.81 | (109) ~ (all_0_128_128 = e11) % 13.87/3.81 | (110) op1(e12, e12) = all_0_121_121 % 13.87/3.81 | (111) ~ (all_0_117_117 = all_0_118_118) % 13.87/3.81 | (112) ~ (all_0_119_119 = all_0_126_126) % 13.87/3.81 | (113) ~ (all_0_112_112 = e22) % 13.87/3.81 | (114) op2(e21, all_0_112_112) = all_0_83_83 % 13.87/3.81 | (115) ~ (e20 = e11) % 13.87/3.81 | (116) ~ (all_0_123_123 = all_0_124_124) % 13.87/3.81 | (117) op2(all_0_103_103, e23) = all_0_21_21 % 13.87/3.81 | (118) op2(e23, e23) = all_0_103_103 % 13.87/3.81 | (119) ~ (e21 = e13) % 13.87/3.81 | (120) ~ (all_0_116_116 = all_0_127_127) % 13.87/3.81 | (121) ~ (all_0_111_111 = all_0_112_112) % 13.87/3.81 | (122) h1(all_0_120_120) = all_0_88_88 % 13.87/3.81 | (123) ~ (e23 = e21) % 13.87/3.81 | (124) all_0_116_116 = e13 | all_0_116_116 = e12 | all_0_116_116 = e11 | all_0_116_116 = e10 % 13.87/3.81 | (125) all_0_106_106 = e22 | all_0_106_106 = e20 % 13.87/3.81 | (126) ~ (all_0_121_121 = all_0_128_128) % 13.87/3.81 | (127) op1(e12, e10) = e13 % 13.87/3.81 | (128) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0)) % 13.87/3.81 | (129) ~ (all_0_103_103 = all_0_110_110) % 13.87/3.81 | (130) ~ (e12 = e10) % 13.87/3.81 | (131) all_0_118_118 = e10 | all_0_122_122 = e10 | all_0_125_125 = e10 % 13.87/3.81 | (132) all_0_103_103 = e23 | all_0_104_104 = e23 | all_0_105_105 = e23 % 13.87/3.81 | (133) all_0_110_110 = e23 | all_0_110_110 = e22 | all_0_110_110 = e21 | all_0_110_110 = e20 % 13.87/3.81 | (134) all_0_103_103 = e22 | all_0_107_107 = e22 | all_0_110_110 = e22 % 13.87/3.81 | (135) h4(all_0_124_124) = all_0_18_18 % 13.87/3.81 | (136) op2(e20, e22) = all_0_115_115 % 13.87/3.81 | (137) h4(all_0_126_126) = all_0_22_22 % 13.87/3.81 | (138) ~ (all_0_84_84 = all_0_103_103) | ~ (all_0_85_85 = all_0_104_104) | ~ (all_0_86_86 = all_0_105_105) | ~ (all_0_87_87 = all_0_106_106) | ~ (all_0_88_88 = all_0_107_107) | ~ (all_0_89_89 = all_0_108_108) | ~ (all_0_90_90 = all_0_109_109) | ~ (all_0_91_91 = all_0_110_110) | ~ (all_0_92_92 = all_0_111_111) | ~ (all_0_93_93 = all_0_112_112) | ~ (all_0_94_94 = all_0_113_113) | ~ (all_0_95_95 = all_0_114_114) | ~ (all_0_96_96 = all_0_115_115) % 13.87/3.81 | (139) ~ (all_0_108_108 = all_0_109_109) % 13.87/3.81 | (140) ~ (all_0_112_112 = all_0_113_113) % 13.87/3.81 | (141) all_0_106_106 = e20 | all_0_113_113 = e20 % 13.87/3.81 | (142) h3(e10) = e22 % 13.87/3.81 | (143) ~ (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_101_101) | ~ (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_102_102) | ( ~ (all_0_101_101 = e23) & ~ (all_0_102_102 = e23) & ~ (all_0_112_112 = e23)) | ( ~ (all_0_101_101 = e22) & ~ (all_0_102_102 = e22)) | ( ~ (all_0_101_101 = e20) & ~ (all_0_102_102 = e20) & ~ (all_0_112_112 = e20)) % 13.87/3.81 | (144) ~ (all_0_118_118 = all_0_119_119) % 13.87/3.81 | (145) ~ (e21 = e10) % 13.87/3.81 | (146) h1(e12) = e22 % 13.87/3.81 | (147) ~ (all_0_121_121 = e13) % 13.87/3.81 | (148) ~ (all_0_114_114 = all_0_115_115) % 13.87/3.81 | (149) ~ (e21 = e20) % 13.87/3.81 | (150) ~ (all_0_103_103 = all_0_107_107) % 13.87/3.81 | (151) ~ (all_0_106_106 = e23) % 13.87/3.81 | (152) op2(e20, e20) = e21 % 13.87/3.81 | (153) h4(all_0_120_120) = all_0_9_9 % 13.87/3.81 | (154) h1(e13) = e23 % 13.87/3.81 | (155) op2(all_0_99_99, all_0_108_108) = all_0_32_32 % 13.87/3.81 | (156) all_0_127_127 = e13 | all_0_127_127 = e10 % 13.87/3.81 | (157) h4(all_0_127_127) = all_0_24_24 % 13.87/3.81 | (158) ~ (all_0_116_116 = all_0_119_119) % 13.87/3.81 | (159) ~ (all_0_120_120 = all_0_122_122) % 13.87/3.81 | (160) ~ (all_0_104_104 = all_0_105_105) % 13.87/3.81 | (161) ~ (e20 = e12) % 13.87/3.81 | (162) ~ (all_0_105_105 = all_0_106_106) % 13.87/3.81 | (163) ~ (all_0_118_118 = all_0_125_125) % 13.87/3.81 | (164) ~ (all_0_118_118 = e12) % 13.87/3.81 | (165) ~ (all_0_120_120 = all_0_127_127) % 13.87/3.81 | (166) op2(e21, e22) = all_0_111_111 % 13.87/3.81 | (167) op2(all_0_112_112, e21) = all_0_77_77 % 13.87/3.81 | (168) op2(e20, e21) = e22 % 13.87/3.81 | (169) ~ (all_0_105_105 = e22) % 13.87/3.81 | (170) all_0_114_114 = e20 | all_0_115_115 = e20 % 13.87/3.81 | (171) ~ (all_0_127_127 = e11) % 13.87/3.81 | (172) h4(all_0_117_117) = all_0_3_3 % 13.87/3.81 | (173) ~ (all_0_121_121 = all_0_124_124) % 13.87/3.81 | (174) all_0_119_119 = e10 | all_0_126_126 = e10 % 13.87/3.81 | (175) all_0_105_105 = e21 | all_0_109_109 = e21 | all_0_112_112 = e21 % 13.87/3.81 | (176) ~ (all_0_109_109 = e22) % 13.87/3.81 | (177) op2(all_0_100_100, all_0_108_108) = all_0_40_40 % 13.87/3.81 | (178) ~ (all_0_116_116 = all_0_118_118) % 13.87/3.81 | (179) op2(e21, e23) = all_0_110_110 % 13.87/3.81 | (180) all_0_107_107 = e22 | all_0_107_107 = e21 | all_0_107_107 = e20 % 14.34/3.81 | (181) h3(all_0_118_118) = all_0_33_33 % 14.34/3.81 | (182) ~ (e23 = e22) % 14.34/3.81 | (183) h1(all_0_119_119) = all_0_87_87 % 14.34/3.81 | (184) ~ (all_0_117_117 = all_0_124_124) % 14.34/3.81 | (185) all_0_107_107 = e22 | all_0_108_108 = e22 % 14.34/3.81 | (186) all_0_117_117 = e13 | all_0_124_124 = e13 | all_0_128_128 = e13 % 14.34/3.81 | (187) all_0_104_104 = e20 | all_0_108_108 = e20 | all_0_111_111 = e20 | all_0_115_115 = e20 % 14.34/3.81 | (188) op2(e22, all_0_99_99) = all_0_51_51 % 14.34/3.81 | (189) ~ (all_0_103_103 = all_0_105_105) % 14.34/3.81 | (190) h3(all_0_116_116) = all_0_29_29 % 14.34/3.81 | (191) ~ (e22 = e10) % 14.34/3.81 | (192) op2(e23, e21) = all_0_105_105 % 14.34/3.81 | (193) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0)) % 14.34/3.81 | (194) h3(e11) = all_0_108_108 % 14.34/3.81 | (195) all_0_116_116 = e10 | all_0_117_117 = e10 | all_0_118_118 = e10 | all_0_119_119 = e10 % 14.34/3.81 | (196) h2(all_0_121_121) = all_0_67_67 % 14.34/3.81 | (197) op1(e12, e11) = all_0_122_122 % 14.34/3.81 | (198) all_0_103_103 = e21 | all_0_107_107 = e21 | all_0_110_110 = e21 % 14.34/3.81 | (199) ~ (all_0_107_107 = all_0_108_108) % 14.34/3.81 | (200) h4(e12) = all_0_98_98 % 14.34/3.81 | (201) ~ (all_0_123_123 = all_0_126_126) % 14.34/3.81 | (202) all_0_116_116 = e10 | all_0_120_120 = e10 | all_0_123_123 = e10 | all_0_127_127 = e10 % 14.34/3.81 | (203) all_0_128_128 = e13 | all_0_128_128 = e10 % 14.34/3.81 | (204) all_0_116_116 = e11 | all_0_120_120 = e11 | all_0_123_123 = e11 % 14.34/3.82 | (205) all_0_107_107 = e20 | all_0_108_108 = e20 | all_0_109_109 = e20 % 14.34/3.82 | (206) op2(all_0_99_99, e22) = all_0_34_34 % 14.34/3.82 | (207) all_0_103_103 = e22 | all_0_104_104 = e22 | all_0_106_106 = e22 % 14.34/3.82 | (208) ~ (all_0_117_117 = all_0_121_121) % 14.34/3.82 | (209) ~ (all_0_107_107 = all_0_109_109) % 14.34/3.82 | (210) all_0_116_116 = e13 | all_0_123_123 = e13 | all_0_127_127 = e13 % 14.34/3.82 | (211) h2(all_0_125_125) = all_0_76_76 % 14.34/3.82 | (212) ~ (all_0_126_126 = e11) % 14.34/3.82 | (213) op2(all_0_112_112, all_0_102_102) = all_0_73_73 % 14.34/3.82 | (214) ~ (all_0_113_113 = e21) % 14.34/3.82 | (215) h2(all_0_128_128) = all_0_82_82 % 14.34/3.82 | (216) ~ (all_0_122_122 = e12) % 14.34/3.82 | (217) op2(all_0_97_97, all_0_97_97) = all_0_0_0 % 14.34/3.82 | (218) ~ (all_0_106_106 = all_0_113_113) % 14.34/3.82 | (219) ~ (all_0_121_121 = all_0_122_122) % 14.34/3.82 | (220) ~ (e23 = e12) % 14.34/3.82 | (221) all_0_110_110 = e23 | all_0_111_111 = e23 | all_0_112_112 = e23 % 14.34/3.82 | (222) ~ (all_0_123_123 = all_0_127_127) % 14.34/3.82 | (223) h3(all_0_122_122) = all_0_41_41 % 14.34/3.82 | (224) ~ (all_0_111_111 = all_0_115_115) % 14.34/3.82 | (225) op2(e22, all_0_100_100) = all_0_53_53 % 14.34/3.82 | (226) op2(e23, all_0_103_103) = all_0_98_98 % 14.34/3.82 | (227) all_0_112_112 = e23 | all_0_112_112 = e21 | all_0_112_112 = e20 % 14.34/3.82 | (228) ~ (all_0_108_108 = all_0_115_115) % 14.34/3.82 | (229) ~ (all_0_125_125 = all_0_126_126) % 14.34/3.82 | (230) ~ (all_0_116_116 = all_0_123_123) % 14.34/3.82 | (231) ~ (all_0_111_111 = all_0_113_113) % 14.34/3.82 | (232) op2(all_0_98_98, all_0_97_97) = all_0_8_8 % 14.34/3.82 | (233) op2(all_0_100_100, e22) = all_0_42_42 % 14.34/3.82 | (234) all_0_118_118 = e11 | all_0_122_122 = e11 | all_0_125_125 = e11 % 14.34/3.82 | (235) ~ (e23 = e20) % 14.34/3.82 | (236) all_0_120_120 = e11 | all_0_121_121 = e11 | all_0_122_122 = e11 % 14.34/3.82 | (237) h2(all_0_116_116) = all_0_57_57 % 14.34/3.82 | (238) h4(all_0_125_125) = all_0_20_20 % 14.34/3.82 | (239) ~ (all_0_119_119 = e11) % 14.34/3.82 | (240) all_0_126_126 = e12 | all_0_126_126 = e10 % 14.34/3.82 | (241) ~ (e22 = e20) % 14.34/3.82 | (242) ~ (all_0_124_124 = all_0_126_126) % 14.34/3.82 | (243) op2(e21, all_0_101_101) = all_0_79_79 % 14.34/3.82 | (244) all_0_105_105 = e23 | all_0_105_105 = e21 | all_0_105_105 = e20 % 14.34/3.82 | (245) op2(all_0_103_103, all_0_97_97) = all_0_15_15 % 14.34/3.82 | (246) h4(all_0_119_119) = all_0_7_7 % 14.34/3.82 | (247) ~ (all_0_124_124 = all_0_125_125) % 14.34/3.82 | (248) ~ (all_0_118_118 = all_0_122_122) % 14.34/3.82 | (249) all_0_103_103 = e23 | all_0_110_110 = e23 | all_0_114_114 = e23 % 14.34/3.82 | (250) ~ (all_0_125_125 = e12) % 14.34/3.82 | (251) h1(all_0_124_124) = all_0_92_92 % 14.34/3.82 | (252) ~ (all_0_107_107 = all_0_114_114) % 14.34/3.82 | (253) ~ (e11 = e10) % 14.34/3.82 | (254) all_0_116_116 = e12 | all_0_117_117 = e12 | all_0_119_119 = e12 % 14.34/3.82 | (255) op2(all_0_108_108, all_0_100_100) = all_0_45_45 % 14.34/3.82 | (256) all_0_127_127 = e10 | all_0_128_128 = e10 % 14.34/3.82 | (257) ~ (e21 = e12) % 14.34/3.82 | (258) op2(all_0_98_98, e23) = all_0_14_14 % 14.34/3.82 | (259) ~ (all_0_108_108 = all_0_111_111) % 14.34/3.82 | (260) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0)) % 14.34/3.82 | (261) h3(all_0_121_121) = all_0_39_39 % 14.34/3.82 | (262) h3(all_0_119_119) = all_0_35_35 % 14.34/3.82 | (263) ~ (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_99_99) | ~ (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_100_100) | ( ~ (all_0_99_99 = e23) & ~ (all_0_100_100 = e23)) | ( ~ (all_0_99_99 = e21) & ~ (all_0_100_100 = e21) & ~ (all_0_108_108 = e21)) | ( ~ (all_0_99_99 = e20) & ~ (all_0_100_100 = e20) & ~ (all_0_108_108 = e20)) % 14.34/3.82 | (264) ~ (e22 = e11) % 14.34/3.82 | (265) ~ (e20 = e10) % 14.34/3.82 | (266) op2(e22, e21) = all_0_109_109 % 14.34/3.82 | (267) ~ (all_0_116_116 = all_0_120_120) % 14.34/3.82 | (268) op2(all_0_101_101, all_0_102_102) = all_0_58_58 % 14.34/3.82 | (269) all_0_125_125 = e13 | all_0_125_125 = e11 | all_0_125_125 = e10 % 14.34/3.82 | (270) h1(all_0_127_127) = all_0_95_95 % 14.34/3.82 | (271) op2(all_0_108_108, all_0_108_108) = all_0_47_47 % 14.34/3.82 | (272) op2(e23, all_0_97_97) = all_0_23_23 % 14.34/3.82 | (273) op2(e22, all_0_108_108) = all_0_55_55 % 14.34/3.82 | (274) all_0_123_123 = e13 | all_0_123_123 = e12 | all_0_123_123 = e11 | all_0_123_123 = e10 % 14.34/3.82 | (275) all_0_123_123 = e12 | all_0_124_124 = e12 | all_0_126_126 = e12 % 14.34/3.82 | (276) all_0_113_113 = e22 | all_0_113_113 = e20 % 14.34/3.82 | (277) op2(all_0_100_100, e22) = all_0_99_99 % 14.34/3.82 | (278) h2(all_0_120_120) = all_0_65_65 % 14.34/3.82 | (279) op2(e20, e23) = all_0_114_114 % 14.34/3.82 | (280) all_0_123_123 = e13 | all_0_124_124 = e13 | all_0_125_125 = e13 % 14.34/3.82 | (281) ~ (all_0_109_109 = e23) % 14.34/3.82 | (282) op2(all_0_100_100, all_0_99_99) = all_0_36_36 % 14.34/3.82 | (283) all_0_127_127 = e13 | all_0_128_128 = e13 % 14.34/3.82 | (284) ~ (all_0_124_124 = all_0_128_128) % 14.34/3.82 | (285) ~ (all_0_103_103 = all_0_106_106) % 14.34/3.82 | (286) h1(all_0_118_118) = all_0_86_86 % 14.34/3.82 | (287) ~ (all_0_104_104 = all_0_115_115) % 14.34/3.82 | (288) h2(all_0_124_124) = all_0_74_74 % 14.34/3.82 | (289) ~ (all_0_114_114 = e21) % 14.34/3.82 | (290) all_0_122_122 = e11 | all_0_122_122 = e10 % 14.34/3.82 | (291) op2(e22, e23) = all_0_107_107 % 14.34/3.82 | (292) op1(e11, e11) = all_0_125_125 % 14.34/3.82 | (293) (all_0_116_116 = e13 & ( ~ (all_0_125_125 = e13) | all_0_123_123 = e11)) | (all_0_121_121 = e12 & ( ~ (all_0_116_116 = e12) | all_0_117_117 = e13)) % 14.34/3.82 | (294) op2(all_0_102_102, all_0_101_101) = all_0_64_64 % 14.34/3.82 | (295) op1(e11, e12) = all_0_124_124 % 14.34/3.82 | (296) all_0_119_119 = e12 | all_0_119_119 = e10 % 14.34/3.82 | (297) ~ (e13 = e12) % 14.34/3.82 | (298) all_0_104_104 = e21 | all_0_108_108 = e21 | all_0_111_111 = e21 % 14.34/3.82 | (299) h1(all_0_121_121) = all_0_89_89 % 14.34/3.82 | (300) ~ (e22 = e21) % 14.34/3.82 | (301) all_0_103_103 = e23 | all_0_103_103 = e22 | all_0_103_103 = e21 | all_0_103_103 = e20 % 14.34/3.82 | (302) all_0_118_118 = e13 | all_0_118_118 = e11 | all_0_118_118 = e10 % 14.34/3.82 | (303) ~ (all_0_120_120 = all_0_123_123) % 14.34/3.82 | (304) op2(e23, e22) = all_0_104_104 % 14.34/3.82 | (305) ~ (all_0_117_117 = all_0_119_119) % 14.34/3.82 | (306) op1(e10, e10) = e11 % 14.34/3.82 | (307) h3(all_0_120_120) = all_0_37_37 % 14.34/3.82 | (308) ~ (all_0_110_110 = all_0_111_111) % 14.34/3.82 | (309) ~ (all_0_113_113 = e23) % 14.34/3.82 | (310) ~ (e22 = e12) % 14.34/3.82 | (311) ~ (e20 = e13) % 14.34/3.82 | (312) op2(e23, e20) = all_0_106_106 % 14.34/3.82 | (313) h2(e11) = all_0_112_112 % 14.34/3.83 | (314) h3(all_0_127_127) = all_0_52_52 % 14.34/3.83 | (315) ~ (all_0_109_109 = all_0_112_112) % 14.34/3.83 | (316) op2(all_0_108_108, all_0_99_99) = all_0_43_43 % 14.34/3.83 | (317) all_0_117_117 = e11 | all_0_121_121 = e11 | all_0_124_124 = e11 % 14.34/3.83 | (318) ~ (all_0_106_106 = e21) % 14.34/3.83 | (319) all_0_103_103 = e20 | all_0_107_107 = e20 | all_0_110_110 = e20 | all_0_114_114 = e20 % 14.34/3.83 | (320) ~ (e23 = e11) % 14.34/3.83 | (321) op2(all_0_103_103, all_0_103_103) = all_0_19_19 % 14.34/3.83 | (322) h1(all_0_123_123) = all_0_91_91 % 14.34/3.83 | (323) h1(all_0_125_125) = all_0_93_93 % 14.34/3.83 | (324) ~ (all_0_117_117 = all_0_128_128) % 14.34/3.83 | (325) op2(all_0_101_101, e21) = all_0_62_62 % 14.34/3.83 | (326) h1(all_0_117_117) = all_0_85_85 % 14.34/3.83 | (327) h2(e12) = all_0_102_102 % 14.34/3.83 | (328) h3(all_0_124_124) = all_0_46_46 % 14.34/3.83 | (329) op2(all_0_108_108, e22) = all_0_49_49 % 14.34/3.83 | (330) h3(all_0_117_117) = all_0_31_31 % 14.34/3.83 | (331) op2(all_0_102_102, all_0_112_112) = all_0_68_68 % 14.34/3.83 | (332) op2(all_0_101_101, all_0_101_101) = all_0_56_56 % 14.34/3.83 | (333) h1(all_0_116_116) = all_0_84_84 % 14.34/3.83 | (334) all_0_116_116 = e12 | all_0_120_120 = e12 | all_0_123_123 = e12 % 14.34/3.83 | (335) all_0_110_110 = e20 | all_0_111_111 = e20 | all_0_112_112 = e20 | all_0_113_113 = e20 % 14.34/3.83 | (336) ~ (all_0_104_104 = all_0_106_106) % 14.34/3.83 | (337) all_0_103_103 = e21 | all_0_104_104 = e21 | all_0_105_105 = e21 % 14.34/3.83 | (338) all_0_116_116 = e13 | all_0_117_117 = e13 | all_0_118_118 = e13 % 14.34/3.83 | (339) op2(e23, all_0_98_98) = all_0_25_25 % 14.34/3.83 | (340) h2(all_0_126_126) = all_0_78_78 % 14.34/3.83 | (341) ~ (all_0_126_126 = e13) % 14.34/3.83 | (342) ~ (all_0_108_108 = e23) % 14.34/3.83 | (343) h4(all_0_118_118) = all_0_5_5 % 14.34/3.83 | (344) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0)) % 14.34/3.83 | (345) h2(e13) = all_0_101_101 % 14.34/3.83 | (346) all_0_115_115 = e23 | all_0_115_115 = e20 % 14.34/3.83 | (347) ~ (all_0_110_110 = all_0_112_112) % 14.34/3.83 | (348) ~ (all_0_105_105 = all_0_112_112) % 14.34/3.83 | (349) ~ (all_0_119_119 = e13) % 14.34/3.83 | (350) h4(e10) = e23 % 14.34/3.83 | (351) h4(all_0_121_121) = all_0_11_11 % 14.34/3.83 | (352) all_0_120_120 = e10 | all_0_121_121 = e10 | all_0_122_122 = e10 % 14.34/3.83 | (353) op2(all_0_102_102, e21) = all_0_70_70 % 14.34/3.83 | (354) all_0_110_110 = e22 | all_0_111_111 = e22 | all_0_113_113 = e22 % 14.34/3.83 | (355) ~ (all_0_116_116 = all_0_117_117) % 14.34/3.83 | (356) op2(all_0_102_102, e21) = all_0_101_101 % 14.34/3.83 | (357) op2(all_0_97_97, e23) = all_0_6_6 % 14.34/3.83 | (358) ~ (all_0_107_107 = e23) % 14.34/3.83 | (359) op2(e21, all_0_102_102) = all_0_81_81 % 14.34/3.83 | (360) op2(e23, all_0_103_103) = all_0_27_27 % 14.34/3.83 | (361) ~ (e13 = e11) % 14.34/3.83 | (362) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) | (all_0_118_118 = e13 & ~ (all_0_116_116 = e11)) | (all_0_120_120 = e12 & all_0_125_125 = e13 & ~ (all_0_123_123 = e11)) | (all_0_125_125 = e13 & all_0_127_127 = e10 & ~ (all_0_123_123 = e11)) % 14.34/3.83 | (363) all_0_123_123 = e10 | all_0_124_124 = e10 | all_0_125_125 = e10 | all_0_126_126 = e10 % 14.34/3.83 | (364) h3(e12) = all_0_100_100 % 14.34/3.83 | % 14.34/3.83 | Instantiating formula (344) with all_0_98_98, e23, all_0_97_97, all_0_14_14 and discharging atoms op2(all_0_98_98, e23) = all_0_14_14, op2(all_0_98_98, e23) = all_0_97_97, yields: % 14.34/3.83 | (365) all_0_14_14 = all_0_97_97 % 14.34/3.83 | % 14.34/3.83 | Instantiating formula (344) with all_0_100_100, e22, all_0_99_99, all_0_42_42 and discharging atoms op2(all_0_100_100, e22) = all_0_42_42, op2(all_0_100_100, e22) = all_0_99_99, yields: % 14.34/3.83 | (366) all_0_42_42 = all_0_99_99 % 14.34/3.83 | % 14.34/3.83 | Instantiating formula (344) with all_0_102_102, e21, all_0_101_101, all_0_70_70 and discharging atoms op2(all_0_102_102, e21) = all_0_70_70, op2(all_0_102_102, e21) = all_0_101_101, yields: % 14.34/3.83 | (367) all_0_70_70 = all_0_101_101 % 14.34/3.83 | % 14.34/3.83 | Instantiating formula (344) with e23, all_0_103_103, all_0_98_98, all_0_27_27 and discharging atoms op2(e23, all_0_103_103) = all_0_27_27, op2(e23, all_0_103_103) = all_0_98_98, yields: % 14.34/3.83 | (368) all_0_27_27 = all_0_98_98 % 14.34/3.83 | % 14.34/3.83 | Instantiating formula (344) with e22, all_0_108_108, all_0_100_100, all_0_55_55 and discharging atoms op2(e22, all_0_108_108) = all_0_55_55, op2(e22, all_0_108_108) = all_0_100_100, yields: % 14.34/3.83 | (369) all_0_55_55 = all_0_100_100 % 14.34/3.83 | % 14.34/3.83 | Instantiating formula (344) with e21, all_0_112_112, all_0_102_102, all_0_83_83 and discharging atoms op2(e21, all_0_112_112) = all_0_83_83, op2(e21, all_0_112_112) = all_0_102_102, yields: % 14.34/3.83 | (370) all_0_83_83 = all_0_102_102 % 14.34/3.83 | % 14.34/3.83 | From (365) and (258) follows: % 14.34/3.83 | (61) op2(all_0_98_98, e23) = all_0_97_97 % 14.34/3.83 | % 14.34/3.83 | From (366) and (233) follows: % 14.34/3.83 | (277) op2(all_0_100_100, e22) = all_0_99_99 % 14.34/3.83 | % 14.34/3.83 | From (367) and (353) follows: % 14.34/3.83 | (356) op2(all_0_102_102, e21) = all_0_101_101 % 14.34/3.83 | % 14.34/3.83 | From (368) and (360) follows: % 14.34/3.83 | (226) op2(e23, all_0_103_103) = all_0_98_98 % 14.34/3.83 | % 14.34/3.83 | From (369) and (273) follows: % 14.34/3.83 | (92) op2(e22, all_0_108_108) = all_0_100_100 % 14.34/3.83 | % 14.34/3.83 | From (370) and (114) follows: % 14.34/3.83 | (10) op2(e21, all_0_112_112) = all_0_102_102 % 14.34/3.83 | % 14.34/3.83 +-Applying beta-rule and splitting (84), into two cases. % 14.34/3.83 |-Branch one: % 14.34/3.83 | (377) all_0_103_103 = e23 & ( ~ (all_0_112_112 = e23) | all_0_110_110 = e21) % 14.34/3.83 | % 14.34/3.83 | Applying alpha-rule on (377) yields: % 14.34/3.83 | (378) all_0_103_103 = e23 % 14.34/3.83 | (379) ~ (all_0_112_112 = e23) | all_0_110_110 = e21 % 14.34/3.83 | % 14.34/3.83 | Equations (378) can reduce 150 to: % 14.34/3.84 | (380) ~ (all_0_107_107 = e23) % 14.34/3.84 | % 14.34/3.84 | Simplifying 380 yields: % 14.34/3.84 | (358) ~ (all_0_107_107 = e23) % 14.34/3.84 | % 14.34/3.84 | Equations (378) can reduce 129 to: % 14.34/3.84 | (382) ~ (all_0_110_110 = e23) % 14.34/3.84 | % 14.34/3.84 | Simplifying 382 yields: % 14.34/3.84 | (383) ~ (all_0_110_110 = e23) % 14.34/3.84 | % 14.34/3.84 | Equations (378) can reduce 72 to: % 14.34/3.84 | (384) ~ (all_0_114_114 = e23) % 14.34/3.84 | % 14.34/3.84 | Simplifying 384 yields: % 14.34/3.84 | (385) ~ (all_0_114_114 = e23) % 14.34/3.84 | % 14.34/3.84 +-Applying beta-rule and splitting (104), into two cases. % 14.34/3.84 |-Branch one: % 14.34/3.84 | (386) all_0_114_114 = e23 % 14.34/3.84 | % 14.34/3.84 | Equations (386) can reduce 385 to: % 14.34/3.84 | (387) $false % 14.34/3.84 | % 14.34/3.84 |-The branch is then unsatisfiable % 14.34/3.84 |-Branch two: % 14.34/3.84 | (385) ~ (all_0_114_114 = e23) % 14.34/3.84 | (389) all_0_114_114 = e20 % 14.34/3.84 | % 14.34/3.84 | Equations (389) can reduce 252 to: % 14.34/3.84 | (390) ~ (all_0_107_107 = e20) % 14.34/3.84 | % 14.34/3.84 | Equations (389) can reduce 148 to: % 14.34/3.84 | (391) ~ (all_0_115_115 = e20) % 14.34/3.84 | % 14.34/3.84 | Simplifying 391 yields: % 14.34/3.84 | (392) ~ (all_0_115_115 = e20) % 14.34/3.84 | % 14.34/3.84 +-Applying beta-rule and splitting (346), into two cases. % 14.34/3.84 |-Branch one: % 14.34/3.84 | (393) all_0_115_115 = e23 % 14.34/3.84 | % 14.34/3.84 | Equations (393) can reduce 224 to: % 14.34/3.84 | (394) ~ (all_0_111_111 = e23) % 14.34/3.84 | % 14.34/3.84 +-Applying beta-rule and splitting (221), into two cases. % 14.34/3.84 |-Branch one: % 14.34/3.84 | (395) all_0_110_110 = e23 % 14.34/3.84 | % 14.34/3.84 | Equations (395) can reduce 383 to: % 14.34/3.84 | (387) $false % 14.34/3.84 | % 14.34/3.84 |-The branch is then unsatisfiable % 14.34/3.84 |-Branch two: % 14.34/3.84 | (383) ~ (all_0_110_110 = e23) % 14.34/3.84 | (398) all_0_111_111 = e23 | all_0_112_112 = e23 % 14.34/3.84 | % 14.34/3.84 +-Applying beta-rule and splitting (398), into two cases. % 14.34/3.84 |-Branch one: % 14.34/3.84 | (399) all_0_111_111 = e23 % 14.34/3.84 | % 14.34/3.84 | Equations (399) can reduce 394 to: % 14.34/3.84 | (387) $false % 14.34/3.84 | % 14.34/3.84 |-The branch is then unsatisfiable % 14.34/3.84 |-Branch two: % 14.34/3.84 | (394) ~ (all_0_111_111 = e23) % 14.34/3.84 | (402) all_0_112_112 = e23 % 14.34/3.84 | % 14.34/3.84 | Equations (402) can reduce 348 to: % 14.34/3.84 | (403) ~ (all_0_105_105 = e23) % 14.34/3.84 | % 14.34/3.84 | Equations (402) can reduce 113 to: % 14.34/3.84 | (182) ~ (e23 = e22) % 14.34/3.84 | % 14.34/3.84 +-Applying beta-rule and splitting (379), into two cases. % 14.34/3.84 |-Branch one: % 14.34/3.84 | (405) ~ (all_0_112_112 = e23) % 14.34/3.84 | % 14.34/3.84 | Equations (402) can reduce 405 to: % 14.34/3.84 | (387) $false % 14.34/3.84 | % 14.34/3.84 |-The branch is then unsatisfiable % 14.34/3.84 |-Branch two: % 14.34/3.84 | (402) all_0_112_112 = e23 % 14.34/3.84 | (408) all_0_110_110 = e21 % 14.34/3.84 | % 14.34/3.84 +-Applying beta-rule and splitting (134), into two cases. % 14.34/3.84 |-Branch one: % 14.34/3.84 | (409) all_0_103_103 = e22 % 14.34/3.84 | % 14.34/3.84 | Combining equations (378,409) yields a new equation: % 14.34/3.84 | (410) e23 = e22 % 14.34/3.84 | % 14.34/3.84 | Simplifying 410 yields: % 14.34/3.84 | (411) e23 = e22 % 14.34/3.84 | % 14.34/3.84 | Equations (411) can reduce 182 to: % 14.34/3.84 | (387) $false % 14.34/3.84 | % 14.34/3.84 |-The branch is then unsatisfiable % 14.34/3.84 |-Branch two: % 14.34/3.84 | (413) ~ (all_0_103_103 = e22) % 14.34/3.84 | (414) all_0_107_107 = e22 | all_0_110_110 = e22 % 14.34/3.84 | % 14.34/3.84 +-Applying beta-rule and splitting (414), into two cases. % 14.34/3.84 |-Branch one: % 14.34/3.84 | (415) all_0_107_107 = e22 % 14.34/3.84 | % 14.34/3.84 | Equations (415) can reduce 358 to: % 14.34/3.84 | (416) ~ (e23 = e22) % 14.34/3.84 | % 14.34/3.84 | Simplifying 416 yields: % 14.34/3.84 | (182) ~ (e23 = e22) % 14.34/3.84 | % 14.34/3.84 | Equations (415) can reduce 390 to: % 14.34/3.84 | (241) ~ (e22 = e20) % 14.34/3.84 | % 14.34/3.84 +-Applying beta-rule and splitting (29), into two cases. % 14.34/3.84 |-Branch one: % 14.34/3.84 | (419) (all_0_103_103 = e22 & all_0_111_111 = e21 & ~ (all_0_104_104 = e23)) | (all_0_103_103 = e22 & all_0_115_115 = e20 & ~ (all_0_104_104 = e23)) | (all_0_105_105 = e23 & all_0_108_108 = e21 & ~ (all_0_103_103 = e21)) | (all_0_105_105 = e23 & ~ (all_0_103_103 = e21)) | (all_0_107_107 = e22 & all_0_112_112 = e23 & ~ (all_0_110_110 = e21)) % 14.34/3.84 | % 14.34/3.84 +-Applying beta-rule and splitting (419), into two cases. % 14.34/3.84 |-Branch one: % 14.34/3.84 | (420) (all_0_103_103 = e22 & all_0_111_111 = e21 & ~ (all_0_104_104 = e23)) | (all_0_103_103 = e22 & all_0_115_115 = e20 & ~ (all_0_104_104 = e23)) | (all_0_105_105 = e23 & all_0_108_108 = e21 & ~ (all_0_103_103 = e21)) | (all_0_105_105 = e23 & ~ (all_0_103_103 = e21)) % 14.34/3.84 | % 14.34/3.84 +-Applying beta-rule and splitting (420), into two cases. % 14.34/3.84 |-Branch one: % 14.34/3.84 | (421) (all_0_103_103 = e22 & all_0_111_111 = e21 & ~ (all_0_104_104 = e23)) | (all_0_103_103 = e22 & all_0_115_115 = e20 & ~ (all_0_104_104 = e23)) | (all_0_105_105 = e23 & all_0_108_108 = e21 & ~ (all_0_103_103 = e21)) % 14.34/3.84 | % 14.34/3.84 +-Applying beta-rule and splitting (421), into two cases. % 14.34/3.84 |-Branch one: % 14.34/3.84 | (422) (all_0_103_103 = e22 & all_0_111_111 = e21 & ~ (all_0_104_104 = e23)) | (all_0_103_103 = e22 & all_0_115_115 = e20 & ~ (all_0_104_104 = e23)) % 14.34/3.84 | % 14.34/3.84 +-Applying beta-rule and splitting (422), into two cases. % 14.34/3.84 |-Branch one: % 14.34/3.84 | (423) all_0_103_103 = e22 & all_0_111_111 = e21 & ~ (all_0_104_104 = e23) % 14.34/3.84 | % 14.34/3.84 | Applying alpha-rule on (423) yields: % 14.34/3.84 | (409) all_0_103_103 = e22 % 14.34/3.84 | (425) all_0_111_111 = e21 % 14.34/3.84 | (426) ~ (all_0_104_104 = e23) % 14.34/3.84 | % 14.34/3.84 | Combining equations (378,409) yields a new equation: % 14.34/3.84 | (410) e23 = e22 % 14.34/3.84 | % 14.34/3.84 | Simplifying 410 yields: % 14.34/3.84 | (411) e23 = e22 % 14.34/3.84 | % 14.34/3.84 | Equations (411) can reduce 182 to: % 14.34/3.84 | (387) $false % 14.34/3.84 | % 14.34/3.84 |-The branch is then unsatisfiable % 14.34/3.84 |-Branch two: % 14.34/3.84 | (430) all_0_103_103 = e22 & all_0_115_115 = e20 & ~ (all_0_104_104 = e23) % 14.34/3.84 | % 14.34/3.84 | Applying alpha-rule on (430) yields: % 14.34/3.84 | (409) all_0_103_103 = e22 % 14.34/3.84 | (432) all_0_115_115 = e20 % 14.34/3.84 | (426) ~ (all_0_104_104 = e23) % 14.34/3.84 | % 14.34/3.84 | Combining equations (378,409) yields a new equation: % 14.34/3.84 | (410) e23 = e22 % 14.34/3.84 | % 14.34/3.84 | Simplifying 410 yields: % 14.34/3.84 | (411) e23 = e22 % 14.34/3.84 | % 14.34/3.84 | Combining equations (393,432) yields a new equation: % 14.34/3.84 | (436) e23 = e20 % 14.34/3.84 | % 14.34/3.84 | Simplifying 436 yields: % 14.34/3.84 | (437) e23 = e20 % 14.34/3.84 | % 14.34/3.84 | Combining equations (437,411) yields a new equation: % 14.34/3.84 | (438) e22 = e20 % 14.34/3.84 | % 14.34/3.84 | Equations (438) can reduce 241 to: % 14.34/3.84 | (387) $false % 14.34/3.84 | % 14.34/3.84 |-The branch is then unsatisfiable % 14.34/3.84 |-Branch two: % 14.34/3.84 | (440) all_0_105_105 = e23 & all_0_108_108 = e21 & ~ (all_0_103_103 = e21) % 14.34/3.84 | % 14.34/3.84 | Applying alpha-rule on (440) yields: % 14.34/3.84 | (441) all_0_105_105 = e23 % 14.34/3.84 | (442) all_0_108_108 = e21 % 14.34/3.84 | (443) ~ (all_0_103_103 = e21) % 14.34/3.84 | % 14.34/3.84 | Equations (441) can reduce 403 to: % 14.34/3.84 | (387) $false % 14.34/3.84 | % 14.34/3.84 |-The branch is then unsatisfiable % 14.34/3.84 |-Branch two: % 14.34/3.84 | (445) all_0_105_105 = e23 & ~ (all_0_103_103 = e21) % 14.34/3.84 | % 14.34/3.84 | Applying alpha-rule on (445) yields: % 14.34/3.84 | (441) all_0_105_105 = e23 % 14.34/3.84 | (443) ~ (all_0_103_103 = e21) % 14.34/3.84 | % 14.34/3.84 | Equations (441) can reduce 403 to: % 14.34/3.84 | (387) $false % 14.34/3.84 | % 14.34/3.84 |-The branch is then unsatisfiable % 14.34/3.84 |-Branch two: % 14.34/3.84 | (449) all_0_107_107 = e22 & all_0_112_112 = e23 & ~ (all_0_110_110 = e21) % 14.34/3.84 | % 14.34/3.84 | Applying alpha-rule on (449) yields: % 14.34/3.84 | (415) all_0_107_107 = e22 % 14.34/3.84 | (402) all_0_112_112 = e23 % 14.34/3.84 | (452) ~ (all_0_110_110 = e21) % 14.34/3.84 | % 14.34/3.84 | Equations (408) can reduce 452 to: % 14.34/3.84 | (387) $false % 14.34/3.84 | % 14.34/3.84 |-The branch is then unsatisfiable % 14.34/3.84 |-Branch two: % 14.34/3.84 | (454) all_0_112_112 = e23 & all_0_114_114 = e20 & ~ (all_0_110_110 = e21) % 14.34/3.84 | % 14.34/3.84 | Applying alpha-rule on (454) yields: % 14.34/3.84 | (402) all_0_112_112 = e23 % 14.34/3.84 | (389) all_0_114_114 = e20 % 14.34/3.84 | (452) ~ (all_0_110_110 = e21) % 14.34/3.84 | % 14.34/3.84 | Equations (408) can reduce 452 to: % 14.34/3.84 | (387) $false % 14.34/3.84 | % 14.34/3.84 |-The branch is then unsatisfiable % 14.34/3.84 |-Branch two: % 14.34/3.84 | (459) ~ (all_0_107_107 = e22) % 14.34/3.84 | (460) all_0_110_110 = e22 % 14.34/3.84 | % 14.34/3.84 | Combining equations (408,460) yields a new equation: % 14.34/3.84 | (461) e22 = e21 % 14.34/3.84 | % 14.34/3.84 | Equations (461) can reduce 300 to: % 14.34/3.84 | (387) $false % 14.34/3.84 | % 14.34/3.84 |-The branch is then unsatisfiable % 14.34/3.84 |-Branch two: % 14.34/3.84 | (463) ~ (all_0_115_115 = e23) % 14.34/3.84 | (432) all_0_115_115 = e20 % 14.34/3.84 | % 14.34/3.84 | Equations (432) can reduce 392 to: % 14.34/3.84 | (387) $false % 14.34/3.84 | % 14.34/3.84 |-The branch is then unsatisfiable % 14.34/3.84 |-Branch two: % 14.34/3.84 | (466) all_0_108_108 = e22 & ( ~ (all_0_103_103 = e22) | all_0_104_104 = e23) % 14.34/3.84 | % 14.34/3.84 | Applying alpha-rule on (466) yields: % 14.34/3.84 | (467) all_0_108_108 = e22 % 14.34/3.84 | (468) ~ (all_0_103_103 = e22) | all_0_104_104 = e23 % 14.34/3.84 | % 14.34/3.84 | Equations (467) can reduce 105 to: % 14.34/3.84 | (469) ~ (all_0_104_104 = e22) % 14.34/3.85 | % 14.34/3.85 | Equations (467) can reduce 139 to: % 14.34/3.85 | (470) ~ (all_0_109_109 = e22) % 14.34/3.85 | % 14.34/3.85 | Simplifying 470 yields: % 14.34/3.85 | (176) ~ (all_0_109_109 = e22) % 14.34/3.85 | % 14.34/3.85 | Equations (467) can reduce 259 to: % 14.34/3.85 | (472) ~ (all_0_111_111 = e22) % 14.34/3.85 | % 14.34/3.85 | Simplifying 472 yields: % 14.34/3.85 | (473) ~ (all_0_111_111 = e22) % 14.34/3.85 | % 14.34/3.85 | Equations (467) can reduce 228 to: % 14.34/3.85 | (474) ~ (all_0_115_115 = e22) % 14.34/3.85 | % 14.34/3.85 | Simplifying 474 yields: % 14.34/3.85 | (42) ~ (all_0_115_115 = e22) % 14.34/3.85 | % 14.34/3.85 | From (467) and (155) follows: % 14.34/3.85 | (476) op2(all_0_99_99, e22) = all_0_32_32 % 14.34/3.85 | % 14.34/3.85 | From (467) and (316) follows: % 14.34/3.85 | (477) op2(e22, all_0_99_99) = all_0_43_43 % 14.34/3.85 | % 14.34/3.85 | From (467)(467) and (271) follows: % 14.34/3.85 | (478) op2(e22, e22) = all_0_47_47 % 14.34/3.85 | % 14.34/3.85 | From (467) and (329) follows: % 14.34/3.85 | (479) op2(e22, e22) = all_0_49_49 % 14.34/3.85 | % 14.34/3.85 | From (467) and (92) follows: % 14.34/3.85 | (480) op2(e22, e22) = all_0_100_100 % 14.34/3.85 | % 14.34/3.85 | From (467) and (3) follows: % 14.34/3.85 | (481) op2(e22, e22) = e22 % 14.34/3.85 | % 14.34/3.85 | Instantiating formula (344) with all_0_99_99, e22, all_0_32_32, all_0_34_34 and discharging atoms op2(all_0_99_99, e22) = all_0_32_32, op2(all_0_99_99, e22) = all_0_34_34, yields: % 14.34/3.85 | (482) all_0_32_32 = all_0_34_34 % 14.34/3.85 | % 14.34/3.85 | Instantiating formula (344) with e22, all_0_99_99, all_0_43_43, all_0_51_51 and discharging atoms op2(e22, all_0_99_99) = all_0_43_43, op2(e22, all_0_99_99) = all_0_51_51, yields: % 14.34/3.85 | (483) all_0_43_43 = all_0_51_51 % 14.34/3.85 | % 14.34/3.85 | Instantiating formula (344) with e22, e22, all_0_49_49, all_0_47_47 and discharging atoms op2(e22, e22) = all_0_47_47, op2(e22, e22) = all_0_49_49, yields: % 14.34/3.85 | (484) all_0_47_47 = all_0_49_49 % 14.34/3.85 | % 14.34/3.85 | Instantiating formula (344) with e22, e22, all_0_100_100, all_0_47_47 and discharging atoms op2(e22, e22) = all_0_47_47, op2(e22, e22) = all_0_100_100, yields: % 14.34/3.85 | (485) all_0_47_47 = all_0_100_100 % 14.34/3.85 | % 14.34/3.85 | Instantiating formula (344) with e22, e22, e22, all_0_47_47 and discharging atoms op2(e22, e22) = all_0_47_47, op2(e22, e22) = e22, yields: % 14.34/3.85 | (486) all_0_47_47 = e22 % 14.34/3.85 | % 14.34/3.85 | Combining equations (486,484) yields a new equation: % 14.34/3.85 | (487) all_0_49_49 = e22 % 14.34/3.85 | % 14.34/3.85 | Combining equations (485,484) yields a new equation: % 14.34/3.85 | (488) all_0_49_49 = all_0_100_100 % 14.34/3.85 | % 14.34/3.85 | Combining equations (487,488) yields a new equation: % 14.34/3.85 | (489) all_0_100_100 = e22 % 14.34/3.85 | % 14.34/3.85 | From (482) and (476) follows: % 14.34/3.85 | (206) op2(all_0_99_99, e22) = all_0_34_34 % 14.34/3.85 | % 14.34/3.85 | From (489)(489) and (49) follows: % 14.34/3.85 | (491) op2(e22, e22) = all_0_38_38 % 14.34/3.85 | % 14.34/3.85 | From (489) and (277) follows: % 14.34/3.85 | (492) op2(e22, e22) = all_0_99_99 % 14.34/3.85 | % 14.34/3.85 | From (483) and (477) follows: % 14.34/3.85 | (188) op2(e22, all_0_99_99) = all_0_51_51 % 14.34/3.85 | % 14.34/3.85 | From (489) and (225) follows: % 14.34/3.85 | (494) op2(e22, e22) = all_0_53_53 % 14.34/3.85 | % 14.34/3.85 | From (489) and (480) follows: % 14.34/3.85 | (481) op2(e22, e22) = e22 % 14.34/3.85 | % 14.34/3.85 | Instantiating formula (344) with e22, e22, all_0_38_38, e22 and discharging atoms op2(e22, e22) = all_0_38_38, op2(e22, e22) = e22, yields: % 14.34/3.85 | (496) all_0_38_38 = e22 % 14.34/3.85 | % 14.34/3.85 | Instantiating formula (344) with e22, e22, all_0_53_53, all_0_38_38 and discharging atoms op2(e22, e22) = all_0_38_38, op2(e22, e22) = all_0_53_53, yields: % 14.34/3.85 | (497) all_0_38_38 = all_0_53_53 % 14.34/3.85 | % 14.34/3.85 | Instantiating formula (344) with e22, e22, all_0_99_99, all_0_38_38 and discharging atoms op2(e22, e22) = all_0_38_38, op2(e22, e22) = all_0_99_99, yields: % 14.34/3.85 | (498) all_0_38_38 = all_0_99_99 % 14.34/3.85 | % 14.34/3.85 | Combining equations (498,497) yields a new equation: % 14.34/3.85 | (499) all_0_53_53 = all_0_99_99 % 14.34/3.85 | % 14.34/3.85 | Combining equations (496,497) yields a new equation: % 14.34/3.85 | (500) all_0_53_53 = e22 % 14.34/3.85 | % 14.34/3.85 | Combining equations (499,500) yields a new equation: % 14.34/3.85 | (501) all_0_99_99 = e22 % 14.34/3.85 | % 14.34/3.85 | Simplifying 501 yields: % 14.34/3.85 | (502) all_0_99_99 = e22 % 14.34/3.85 | % 14.34/3.85 | From (502)(502) and (78) follows: % 14.34/3.85 | (503) op2(e22, e22) = all_0_28_28 % 14.34/3.85 | % 14.34/3.85 | From (502) and (206) follows: % 14.34/3.85 | (504) op2(e22, e22) = all_0_34_34 % 14.34/3.85 | % 14.34/3.85 | From (502) and (188) follows: % 14.34/3.85 | (505) op2(e22, e22) = all_0_51_51 % 14.34/3.85 | % 14.34/3.85 | From (502) and (492) follows: % 14.34/3.85 | (481) op2(e22, e22) = e22 % 14.34/3.85 | % 14.34/3.85 | Instantiating formula (344) with e22, e22, all_0_28_28, e22 and discharging atoms op2(e22, e22) = all_0_28_28, op2(e22, e22) = e22, yields: % 14.34/3.85 | (507) all_0_28_28 = e22 % 14.34/3.85 | % 14.34/3.85 | Instantiating formula (344) with e22, e22, all_0_34_34, all_0_28_28 and discharging atoms op2(e22, e22) = all_0_28_28, op2(e22, e22) = all_0_34_34, yields: % 14.34/3.85 | (508) all_0_28_28 = all_0_34_34 % 14.34/3.85 | % 14.34/3.85 | Instantiating formula (344) with e22, e22, all_0_51_51, all_0_28_28 and discharging atoms op2(e22, e22) = all_0_28_28, op2(e22, e22) = all_0_51_51, yields: % 14.34/3.85 | (509) all_0_28_28 = all_0_51_51 % 14.34/3.85 | % 14.34/3.85 | Combining equations (509,508) yields a new equation: % 14.34/3.85 | (510) all_0_34_34 = all_0_51_51 % 14.34/3.85 | % 14.34/3.85 | Combining equations (507,508) yields a new equation: % 14.34/3.85 | (511) all_0_34_34 = e22 % 14.34/3.85 | % 14.34/3.85 | Combining equations (510,511) yields a new equation: % 14.34/3.85 | (512) all_0_51_51 = e22 % 14.34/3.85 | % 14.34/3.85 | Simplifying 512 yields: % 14.34/3.85 | (513) all_0_51_51 = e22 % 14.34/3.85 | % 14.34/3.85 | From (513) and (505) follows: % 14.34/3.85 | (481) op2(e22, e22) = e22 % 14.34/3.85 | % 14.34/3.85 +-Applying beta-rule and splitting (18), into two cases. % 14.34/3.85 |-Branch one: % 14.34/3.85 | (515) all_0_109_109 = e21 % 14.34/3.85 | % 14.34/3.85 | Equations (515) can reduce 52 to: % 14.34/3.85 | (516) ~ (all_0_105_105 = e21) % 14.34/3.85 | % 14.34/3.85 +-Applying beta-rule and splitting (205), into two cases. % 14.34/3.85 |-Branch one: % 14.34/3.85 | (517) all_0_107_107 = e20 % 14.34/3.85 | % 14.34/3.85 | Equations (517) can reduce 252 to: % 14.34/3.85 | (518) ~ (all_0_114_114 = e20) % 14.34/3.85 | % 14.34/3.85 | Simplifying 518 yields: % 14.34/3.85 | (519) ~ (all_0_114_114 = e20) % 14.34/3.85 | % 14.34/3.85 +-Applying beta-rule and splitting (170), into two cases. % 14.34/3.85 |-Branch one: % 14.34/3.85 | (389) all_0_114_114 = e20 % 14.34/3.85 | % 14.34/3.85 | Equations (389) can reduce 519 to: % 14.34/3.85 | (387) $false % 14.34/3.85 | % 14.34/3.85 |-The branch is then unsatisfiable % 14.34/3.85 |-Branch two: % 14.34/3.85 | (519) ~ (all_0_114_114 = e20) % 14.34/3.85 | (432) all_0_115_115 = e20 % 14.34/3.85 | % 14.34/3.85 | Equations (432) can reduce 148 to: % 14.34/3.85 | (519) ~ (all_0_114_114 = e20) % 14.34/3.85 | % 14.34/3.85 | Equations (432) can reduce 42 to: % 14.34/3.85 | (525) ~ (e22 = e20) % 14.34/3.85 | % 14.34/3.85 | Simplifying 525 yields: % 14.34/3.85 | (241) ~ (e22 = e20) % 14.34/3.85 | % 14.34/3.85 +-Applying beta-rule and splitting (104), into two cases. % 14.34/3.85 |-Branch one: % 14.34/3.85 | (386) all_0_114_114 = e23 % 14.34/3.85 | % 14.34/3.85 | Equations (386) can reduce 72 to: % 14.34/3.85 | (528) ~ (all_0_103_103 = e23) % 14.34/3.85 | % 14.34/3.85 +-Applying beta-rule and splitting (141), into two cases. % 14.34/3.85 |-Branch one: % 14.34/3.85 | (529) all_0_106_106 = e20 % 14.34/3.85 | % 14.34/3.85 | Equations (529) can reduce 162 to: % 14.34/3.85 | (530) ~ (all_0_105_105 = e20) % 14.34/3.85 | % 14.34/3.85 | Equations (529) can reduce 218 to: % 14.34/3.85 | (531) ~ (all_0_113_113 = e20) % 14.34/3.85 | % 14.34/3.85 | Simplifying 531 yields: % 14.34/3.85 | (532) ~ (all_0_113_113 = e20) % 14.34/3.85 | % 14.34/3.85 | Equations (529) can reduce 151 to: % 14.34/3.85 | (533) ~ (e23 = e20) % 14.34/3.85 | % 14.34/3.85 | Simplifying 533 yields: % 14.34/3.85 | (235) ~ (e23 = e20) % 14.34/3.85 | % 14.34/3.85 | Equations (529) can reduce 318 to: % 14.34/3.85 | (535) ~ (e21 = e20) % 14.34/3.85 | % 14.34/3.85 | Simplifying 535 yields: % 14.34/3.85 | (149) ~ (e21 = e20) % 14.34/3.85 | % 14.34/3.85 +-Applying beta-rule and splitting (9), into two cases. % 14.34/3.85 |-Branch one: % 14.34/3.85 | (537) all_0_106_106 = e22 % 14.34/3.85 | % 14.34/3.85 | Combining equations (529,537) yields a new equation: % 14.34/3.85 | (438) e22 = e20 % 14.34/3.85 | % 14.34/3.85 | Equations (438) can reduce 241 to: % 14.34/3.85 | (387) $false % 14.34/3.85 | % 14.34/3.85 |-The branch is then unsatisfiable % 14.34/3.85 |-Branch two: % 14.34/3.85 | (540) ~ (all_0_106_106 = e22) % 14.34/3.85 | (541) all_0_113_113 = e22 % 14.34/3.85 | % 14.34/3.85 | Equations (541) can reduce 87 to: % 14.34/3.85 | (542) ~ (all_0_110_110 = e22) % 14.34/3.85 | % 14.34/3.85 | Equations (541) can reduce 214 to: % 14.34/3.85 | (300) ~ (e22 = e21) % 14.34/3.85 | % 14.34/3.86 | Equations (541) can reduce 532 to: % 14.34/3.86 | (241) ~ (e22 = e20) % 14.34/3.86 | % 14.34/3.86 +-Applying beta-rule and splitting (134), into two cases. % 14.34/3.86 |-Branch one: % 14.34/3.86 | (409) all_0_103_103 = e22 % 14.34/3.86 | % 14.34/3.86 | Equations (409) can reduce 129 to: % 14.34/3.86 | (546) ~ (all_0_110_110 = e22) % 14.34/3.86 | % 14.34/3.86 | Simplifying 546 yields: % 14.34/3.86 | (542) ~ (all_0_110_110 = e22) % 14.34/3.86 | % 14.34/3.86 +-Applying beta-rule and splitting (28), into two cases. % 14.34/3.86 |-Branch one: % 14.34/3.86 | (548) all_0_105_105 = e20 % 14.34/3.86 | % 14.34/3.86 | Equations (548) can reduce 530 to: % 14.34/3.86 | (387) $false % 14.34/3.86 | % 14.34/3.86 |-The branch is then unsatisfiable % 14.34/3.86 |-Branch two: % 14.34/3.86 | (530) ~ (all_0_105_105 = e20) % 14.34/3.86 | (551) all_0_109_109 = e20 | all_0_112_112 = e20 % 14.34/3.86 | % 14.34/3.86 +-Applying beta-rule and splitting (551), into two cases. % 14.34/3.86 |-Branch one: % 14.34/3.86 | (552) all_0_109_109 = e20 % 14.34/3.86 | % 14.34/3.86 | Combining equations (515,552) yields a new equation: % 14.34/3.86 | (553) e21 = e20 % 14.34/3.86 | % 14.34/3.86 | Simplifying 553 yields: % 14.34/3.86 | (554) e21 = e20 % 14.34/3.86 | % 14.34/3.86 | Equations (554) can reduce 149 to: % 14.34/3.86 | (387) $false % 14.34/3.86 | % 14.34/3.86 |-The branch is then unsatisfiable % 14.34/3.86 |-Branch two: % 14.34/3.86 | (556) ~ (all_0_109_109 = e20) % 14.34/3.86 | (557) all_0_112_112 = e20 % 14.34/3.86 | % 14.34/3.86 | Equations (557) can reduce 348 to: % 14.34/3.86 | (530) ~ (all_0_105_105 = e20) % 14.34/3.86 | % 14.34/3.86 | Equations (557) can reduce 347 to: % 14.34/3.86 | (559) ~ (all_0_110_110 = e20) % 14.34/3.86 | % 14.34/3.86 +-Applying beta-rule and splitting (26), into two cases. % 14.34/3.86 |-Branch one: % 14.34/3.86 | (441) all_0_105_105 = e23 % 14.34/3.86 | % 14.34/3.86 | Equations (441) can reduce 160 to: % 14.34/3.86 | (426) ~ (all_0_104_104 = e23) % 14.34/3.86 | % 14.34/3.86 | Equations (441) can reduce 516 to: % 14.34/3.86 | (123) ~ (e23 = e21) % 14.34/3.86 | % 14.34/3.86 | Equations (441) can reduce 530 to: % 14.34/3.86 | (235) ~ (e23 = e20) % 14.34/3.86 | % 14.34/3.86 +-Applying beta-rule and splitting (99), into two cases. % 14.34/3.86 |-Branch one: % 14.34/3.86 | (564) all_0_104_104 = e23 % 14.34/3.86 | % 14.34/3.86 | Equations (564) can reduce 426 to: % 14.34/3.86 | (387) $false % 14.34/3.86 | % 14.34/3.86 |-The branch is then unsatisfiable % 14.34/3.86 |-Branch two: % 14.34/3.86 | (426) ~ (all_0_104_104 = e23) % 14.34/3.86 | (567) all_0_111_111 = e23 | all_0_115_115 = e23 % 14.34/3.86 | % 14.34/3.86 +-Applying beta-rule and splitting (567), into two cases. % 14.34/3.86 |-Branch one: % 14.34/3.86 | (399) all_0_111_111 = e23 % 14.34/3.86 | % 14.34/3.86 | Equations (399) can reduce 308 to: % 14.34/3.86 | (383) ~ (all_0_110_110 = e23) % 14.34/3.86 | % 14.34/3.86 +-Applying beta-rule and splitting (298), into two cases. % 14.34/3.86 |-Branch one: % 14.34/3.86 | (570) all_0_104_104 = e21 % 14.34/3.86 | % 14.34/3.86 +-Applying beta-rule and splitting (133), into two cases. % 14.34/3.86 |-Branch one: % 14.34/3.86 | (408) all_0_110_110 = e21 % 14.34/3.86 | % 14.34/3.86 | Equations (408) can reduce 383 to: % 14.34/3.86 | (572) ~ (e23 = e21) % 14.34/3.86 | % 14.34/3.86 | Simplifying 572 yields: % 14.34/3.86 | (123) ~ (e23 = e21) % 14.34/3.86 | % 14.34/3.86 +-Applying beta-rule and splitting (468), into two cases. % 14.34/3.86 |-Branch one: % 14.34/3.86 | (413) ~ (all_0_103_103 = e22) % 14.34/3.86 | % 14.34/3.86 | Equations (409) can reduce 413 to: % 14.34/3.86 | (387) $false % 14.34/3.86 | % 14.34/3.86 |-The branch is then unsatisfiable % 14.34/3.86 |-Branch two: % 14.34/3.86 | (409) all_0_103_103 = e22 % 14.34/3.86 | (564) all_0_104_104 = e23 % 14.34/3.86 | % 14.34/3.86 | Combining equations (570,564) yields a new equation: % 14.34/3.86 | (578) e23 = e21 % 14.34/3.86 | % 14.34/3.86 | Equations (578) can reduce 123 to: % 14.34/3.86 | (387) $false % 14.34/3.86 | % 14.34/3.86 |-The branch is then unsatisfiable % 14.34/3.86 |-Branch two: % 14.34/3.86 | (452) ~ (all_0_110_110 = e21) % 14.34/3.86 | (581) all_0_110_110 = e23 | all_0_110_110 = e22 | all_0_110_110 = e20 % 14.34/3.86 | % 14.34/3.86 +-Applying beta-rule and splitting (581), into two cases. % 14.34/3.86 |-Branch one: % 14.34/3.86 | (395) all_0_110_110 = e23 % 14.34/3.86 | % 14.34/3.86 | Equations (395) can reduce 383 to: % 14.34/3.86 | (387) $false % 14.34/3.86 | % 14.34/3.86 |-The branch is then unsatisfiable % 14.34/3.86 |-Branch two: % 14.34/3.86 | (383) ~ (all_0_110_110 = e23) % 14.34/3.86 | (585) all_0_110_110 = e22 | all_0_110_110 = e20 % 14.34/3.86 | % 14.34/3.86 +-Applying beta-rule and splitting (585), into two cases. % 14.34/3.86 |-Branch one: % 14.34/3.86 | (586) all_0_110_110 = e20 % 14.34/3.86 | % 14.34/3.86 | Equations (586) can reduce 559 to: % 14.34/3.86 | (387) $false % 14.34/3.86 | % 14.34/3.86 |-The branch is then unsatisfiable % 14.34/3.86 |-Branch two: % 14.34/3.86 | (559) ~ (all_0_110_110 = e20) % 14.34/3.86 | (460) all_0_110_110 = e22 % 14.34/3.86 | % 14.34/3.86 | Equations (460) can reduce 542 to: % 14.34/3.86 | (387) $false % 14.34/3.86 | % 14.34/3.86 |-The branch is then unsatisfiable % 14.34/3.86 |-Branch two: % 14.34/3.86 | (591) ~ (all_0_104_104 = e21) % 14.34/3.86 | (592) all_0_108_108 = e21 | all_0_111_111 = e21 % 14.34/3.86 | % 14.34/3.86 +-Applying beta-rule and splitting (592), into two cases. % 14.34/3.86 |-Branch one: % 14.34/3.86 | (442) all_0_108_108 = e21 % 14.34/3.86 | % 14.34/3.86 | Combining equations (467,442) yields a new equation: % 14.34/3.86 | (594) e22 = e21 % 14.34/3.86 | % 14.34/3.86 | Simplifying 594 yields: % 14.34/3.86 | (461) e22 = e21 % 14.34/3.86 | % 14.34/3.86 | Equations (461) can reduce 300 to: % 14.34/3.86 | (387) $false % 14.34/3.86 | % 14.34/3.86 |-The branch is then unsatisfiable % 14.34/3.86 |-Branch two: % 14.34/3.86 | (597) ~ (all_0_108_108 = e21) % 14.34/3.86 | (425) all_0_111_111 = e21 % 14.34/3.86 | % 14.34/3.86 | Combining equations (399,425) yields a new equation: % 14.34/3.86 | (599) e23 = e21 % 14.34/3.86 | % 14.34/3.86 | Simplifying 599 yields: % 14.34/3.86 | (578) e23 = e21 % 14.34/3.86 | % 14.34/3.86 | Equations (578) can reduce 123 to: % 14.34/3.86 | (387) $false % 14.34/3.86 | % 14.34/3.86 |-The branch is then unsatisfiable % 14.34/3.86 |-Branch two: % 14.34/3.86 | (394) ~ (all_0_111_111 = e23) % 14.34/3.86 | (393) all_0_115_115 = e23 % 14.34/3.86 | % 14.34/3.86 | Combining equations (432,393) yields a new equation: % 14.34/3.86 | (437) e23 = e20 % 14.34/3.86 | % 14.34/3.86 | Equations (437) can reduce 235 to: % 14.34/3.86 | (387) $false % 14.34/3.86 | % 14.34/3.86 |-The branch is then unsatisfiable % 14.34/3.86 |-Branch two: % 14.34/3.86 | (403) ~ (all_0_105_105 = e23) % 14.34/3.86 | (402) all_0_112_112 = e23 % 14.34/3.86 | % 14.34/3.86 | Combining equations (557,402) yields a new equation: % 14.34/3.86 | (437) e23 = e20 % 14.34/3.86 | % 14.34/3.86 | Equations (437) can reduce 235 to: % 14.34/3.86 | (387) $false % 14.34/3.86 | % 14.34/3.86 |-The branch is then unsatisfiable % 14.34/3.86 |-Branch two: % 14.34/3.86 | (413) ~ (all_0_103_103 = e22) % 14.34/3.86 | (414) all_0_107_107 = e22 | all_0_110_110 = e22 % 14.34/3.86 | % 14.34/3.86 +-Applying beta-rule and splitting (414), into two cases. % 14.34/3.86 |-Branch one: % 14.34/3.86 | (415) all_0_107_107 = e22 % 14.34/3.86 | % 14.34/3.86 | Combining equations (517,415) yields a new equation: % 14.34/3.86 | (438) e22 = e20 % 14.34/3.86 | % 14.34/3.86 | Equations (438) can reduce 241 to: % 14.34/3.86 | (387) $false % 14.34/3.86 | % 14.34/3.86 |-The branch is then unsatisfiable % 14.34/3.86 |-Branch two: % 14.34/3.86 | (459) ~ (all_0_107_107 = e22) % 14.34/3.86 | (460) all_0_110_110 = e22 % 14.34/3.86 | % 14.34/3.86 | Equations (460) can reduce 542 to: % 14.34/3.86 | (387) $false % 14.34/3.86 | % 14.34/3.86 |-The branch is then unsatisfiable % 14.34/3.86 |-Branch two: % 14.34/3.86 | (618) ~ (all_0_106_106 = e20) % 14.34/3.86 | (619) all_0_113_113 = e20 % 14.34/3.86 | % 14.34/3.86 | Equations (619) can reduce 218 to: % 14.34/3.86 | (618) ~ (all_0_106_106 = e20) % 14.34/3.86 | % 14.34/3.86 | Equations (619) can reduce 140 to: % 14.34/3.86 | (621) ~ (all_0_112_112 = e20) % 14.34/3.86 | % 14.34/3.86 | Equations (619) can reduce 309 to: % 14.34/3.86 | (533) ~ (e23 = e20) % 14.34/3.86 | % 14.34/3.86 | Simplifying 533 yields: % 14.34/3.86 | (235) ~ (e23 = e20) % 14.34/3.86 | % 14.34/3.86 | Equations (619) can reduce 214 to: % 14.34/3.86 | (535) ~ (e21 = e20) % 14.34/3.86 | % 14.34/3.86 | Simplifying 535 yields: % 14.34/3.86 | (149) ~ (e21 = e20) % 14.34/3.86 | % 14.34/3.86 +-Applying beta-rule and splitting (9), into two cases. % 14.34/3.86 |-Branch one: % 14.34/3.86 | (537) all_0_106_106 = e22 % 14.34/3.86 | % 14.34/3.86 | Equations (537) can reduce 285 to: % 14.34/3.86 | (413) ~ (all_0_103_103 = e22) % 14.34/3.86 | % 14.34/3.86 | Equations (537) can reduce 162 to: % 14.34/3.86 | (169) ~ (all_0_105_105 = e22) % 14.34/3.86 | % 14.34/3.86 | Equations (537) can reduce 618 to: % 14.34/3.86 | (241) ~ (e22 = e20) % 14.34/3.86 | % 14.34/3.86 +-Applying beta-rule and splitting (134), into two cases. % 14.34/3.86 |-Branch one: % 14.34/3.86 | (409) all_0_103_103 = e22 % 14.34/3.86 | % 14.34/3.86 | Equations (409) can reduce 413 to: % 14.34/3.86 | (387) $false % 14.34/3.86 | % 14.34/3.86 |-The branch is then unsatisfiable % 14.34/3.86 |-Branch two: % 14.34/3.86 | (413) ~ (all_0_103_103 = e22) % 14.34/3.86 | (414) all_0_107_107 = e22 | all_0_110_110 = e22 % 14.34/3.86 | % 14.34/3.86 +-Applying beta-rule and splitting (414), into two cases. % 14.34/3.86 |-Branch one: % 14.34/3.86 | (415) all_0_107_107 = e22 % 14.34/3.86 | % 14.34/3.86 | Combining equations (517,415) yields a new equation: % 14.34/3.86 | (438) e22 = e20 % 14.34/3.86 | % 14.34/3.86 | Equations (438) can reduce 241 to: % 14.34/3.86 | (387) $false % 14.34/3.86 | % 14.34/3.86 |-The branch is then unsatisfiable % 14.34/3.86 |-Branch two: % 14.34/3.86 | (459) ~ (all_0_107_107 = e22) % 14.34/3.86 | (460) all_0_110_110 = e22 % 14.34/3.86 | % 14.34/3.86 | Equations (460) can reduce 129 to: % 14.34/3.86 | (413) ~ (all_0_103_103 = e22) % 14.34/3.86 | % 14.34/3.86 | Equations (460) can reduce 308 to: % 14.34/3.86 | (472) ~ (all_0_111_111 = e22) % 14.34/3.86 | % 14.34/3.86 | Simplifying 472 yields: % 14.34/3.86 | (473) ~ (all_0_111_111 = e22) % 14.34/3.86 | % 14.34/3.86 +-Applying beta-rule and splitting (28), into two cases. % 14.34/3.86 |-Branch one: % 14.34/3.86 | (548) all_0_105_105 = e20 % 14.34/3.87 | % 14.34/3.87 | Equations (548) can reduce 189 to: % 14.34/3.87 | (643) ~ (all_0_103_103 = e20) % 14.34/3.87 | % 14.34/3.87 | Equations (548) can reduce 348 to: % 14.34/3.87 | (644) ~ (all_0_112_112 = e20) % 14.34/3.87 | % 14.34/3.87 | Simplifying 644 yields: % 14.34/3.87 | (621) ~ (all_0_112_112 = e20) % 14.34/3.87 | % 14.34/3.87 | Equations (548) can reduce 169 to: % 14.34/3.87 | (525) ~ (e22 = e20) % 14.34/3.87 | % 14.34/3.87 | Simplifying 525 yields: % 14.34/3.87 | (241) ~ (e22 = e20) % 14.34/3.87 | % 14.34/3.87 +-Applying beta-rule and splitting (26), into two cases. % 14.34/3.87 |-Branch one: % 14.34/3.87 | (441) all_0_105_105 = e23 % 14.34/3.87 | % 14.34/3.87 | Combining equations (441,548) yields a new equation: % 14.34/3.87 | (436) e23 = e20 % 14.34/3.87 | % 14.34/3.87 | Simplifying 436 yields: % 14.34/3.87 | (437) e23 = e20 % 14.34/3.87 | % 14.34/3.87 | Equations (437) can reduce 235 to: % 14.34/3.87 | (387) $false % 14.34/3.87 | % 14.34/3.87 |-The branch is then unsatisfiable % 14.34/3.87 |-Branch two: % 14.34/3.87 | (403) ~ (all_0_105_105 = e23) % 14.34/3.87 | (402) all_0_112_112 = e23 % 14.34/3.87 | % 14.34/3.87 | Equations (402) can reduce 621 to: % 14.34/3.87 | (235) ~ (e23 = e20) % 14.34/3.87 | % 14.34/3.87 +-Applying beta-rule and splitting (301), into two cases. % 14.34/3.87 |-Branch one: % 14.34/3.87 | (655) all_0_103_103 = e21 % 14.34/3.87 | % 14.34/3.87 | Equations (655) can reduce 54 to: % 14.34/3.87 | (656) ~ (all_0_104_104 = e21) % 14.34/3.87 | % 14.34/3.87 | Simplifying 656 yields: % 14.34/3.87 | (591) ~ (all_0_104_104 = e21) % 14.34/3.87 | % 14.34/3.87 | Equations (655) can reduce 413 to: % 14.34/3.87 | (658) ~ (e22 = e21) % 14.34/3.87 | % 14.34/3.87 | Simplifying 658 yields: % 14.34/3.87 | (300) ~ (e22 = e21) % 14.34/3.87 | % 14.34/3.87 +-Applying beta-rule and splitting (298), into two cases. % 14.34/3.87 |-Branch one: % 14.34/3.87 | (570) all_0_104_104 = e21 % 14.34/3.87 | % 14.34/3.87 | Equations (570) can reduce 591 to: % 14.34/3.87 | (387) $false % 14.34/3.87 | % 14.34/3.87 |-The branch is then unsatisfiable % 14.34/3.87 |-Branch two: % 14.34/3.87 | (591) ~ (all_0_104_104 = e21) % 14.34/3.87 | (592) all_0_108_108 = e21 | all_0_111_111 = e21 % 14.34/3.87 | % 14.34/3.87 +-Applying beta-rule and splitting (592), into two cases. % 14.34/3.87 |-Branch one: % 14.34/3.87 | (442) all_0_108_108 = e21 % 14.34/3.87 | % 14.34/3.87 | Combining equations (467,442) yields a new equation: % 14.34/3.87 | (594) e22 = e21 % 14.34/3.87 | % 14.34/3.87 | Simplifying 594 yields: % 14.34/3.87 | (461) e22 = e21 % 14.34/3.87 | % 14.34/3.87 | Equations (461) can reduce 300 to: % 14.34/3.87 | (387) $false % 14.34/3.87 | % 14.34/3.87 |-The branch is then unsatisfiable % 14.34/3.87 |-Branch two: % 14.34/3.87 | (597) ~ (all_0_108_108 = e21) % 14.34/3.87 | (425) all_0_111_111 = e21 % 14.34/3.87 | % 14.34/3.87 | Equations (425) can reduce 473 to: % 14.34/3.87 | (658) ~ (e22 = e21) % 14.34/3.87 | % 14.34/3.87 | Simplifying 658 yields: % 14.34/3.87 | (300) ~ (e22 = e21) % 14.34/3.87 | % 14.34/3.87 +-Applying beta-rule and splitting (29), into two cases. % 14.34/3.87 |-Branch one: % 14.34/3.87 | (419) (all_0_103_103 = e22 & all_0_111_111 = e21 & ~ (all_0_104_104 = e23)) | (all_0_103_103 = e22 & all_0_115_115 = e20 & ~ (all_0_104_104 = e23)) | (all_0_105_105 = e23 & all_0_108_108 = e21 & ~ (all_0_103_103 = e21)) | (all_0_105_105 = e23 & ~ (all_0_103_103 = e21)) | (all_0_107_107 = e22 & all_0_112_112 = e23 & ~ (all_0_110_110 = e21)) % 14.34/3.87 | % 14.34/3.87 +-Applying beta-rule and splitting (419), into two cases. % 14.34/3.87 |-Branch one: % 14.34/3.87 | (420) (all_0_103_103 = e22 & all_0_111_111 = e21 & ~ (all_0_104_104 = e23)) | (all_0_103_103 = e22 & all_0_115_115 = e20 & ~ (all_0_104_104 = e23)) | (all_0_105_105 = e23 & all_0_108_108 = e21 & ~ (all_0_103_103 = e21)) | (all_0_105_105 = e23 & ~ (all_0_103_103 = e21)) % 14.34/3.87 | % 14.34/3.87 +-Applying beta-rule and splitting (420), into two cases. % 14.34/3.87 |-Branch one: % 14.34/3.87 | (421) (all_0_103_103 = e22 & all_0_111_111 = e21 & ~ (all_0_104_104 = e23)) | (all_0_103_103 = e22 & all_0_115_115 = e20 & ~ (all_0_104_104 = e23)) | (all_0_105_105 = e23 & all_0_108_108 = e21 & ~ (all_0_103_103 = e21)) % 14.34/3.87 | % 14.34/3.87 +-Applying beta-rule and splitting (421), into two cases. % 14.34/3.87 |-Branch one: % 14.34/3.87 | (422) (all_0_103_103 = e22 & all_0_111_111 = e21 & ~ (all_0_104_104 = e23)) | (all_0_103_103 = e22 & all_0_115_115 = e20 & ~ (all_0_104_104 = e23)) % 14.34/3.87 | % 14.34/3.87 +-Applying beta-rule and splitting (422), into two cases. % 14.34/3.87 |-Branch one: % 14.34/3.87 | (423) all_0_103_103 = e22 & all_0_111_111 = e21 & ~ (all_0_104_104 = e23) % 14.34/3.87 | % 14.34/3.87 | Applying alpha-rule on (423) yields: % 14.34/3.87 | (409) all_0_103_103 = e22 % 14.34/3.87 | (425) all_0_111_111 = e21 % 14.34/3.87 | (426) ~ (all_0_104_104 = e23) % 14.34/3.87 | % 14.34/3.87 | Combining equations (655,409) yields a new equation: % 14.34/3.87 | (461) e22 = e21 % 14.34/3.87 | % 14.34/3.87 | Equations (461) can reduce 300 to: % 14.34/3.87 | (387) $false % 14.34/3.87 | % 14.34/3.87 |-The branch is then unsatisfiable % 14.34/3.87 |-Branch two: % 14.34/3.87 | (430) all_0_103_103 = e22 & all_0_115_115 = e20 & ~ (all_0_104_104 = e23) % 14.34/3.87 | % 14.34/3.87 | Applying alpha-rule on (430) yields: % 14.34/3.87 | (409) all_0_103_103 = e22 % 14.34/3.87 | (432) all_0_115_115 = e20 % 14.34/3.87 | (426) ~ (all_0_104_104 = e23) % 14.34/3.87 | % 14.34/3.87 | Combining equations (655,409) yields a new equation: % 14.34/3.87 | (461) e22 = e21 % 14.34/3.87 | % 14.34/3.87 | Equations (461) can reduce 300 to: % 14.34/3.87 | (387) $false % 14.34/3.87 | % 14.34/3.87 |-The branch is then unsatisfiable % 14.34/3.87 |-Branch two: % 14.34/3.87 | (440) all_0_105_105 = e23 & all_0_108_108 = e21 & ~ (all_0_103_103 = e21) % 14.34/3.87 | % 14.34/3.87 | Applying alpha-rule on (440) yields: % 14.34/3.87 | (441) all_0_105_105 = e23 % 14.34/3.87 | (442) all_0_108_108 = e21 % 14.34/3.87 | (443) ~ (all_0_103_103 = e21) % 14.34/3.87 | % 14.34/3.87 | Combining equations (442,467) yields a new equation: % 14.34/3.87 | (461) e22 = e21 % 14.34/3.87 | % 14.34/3.87 | Equations (461) can reduce 300 to: % 14.34/3.87 | (387) $false % 14.34/3.87 | % 14.34/3.87 |-The branch is then unsatisfiable % 14.34/3.87 |-Branch two: % 14.34/3.87 | (445) all_0_105_105 = e23 & ~ (all_0_103_103 = e21) % 14.34/3.87 | % 14.34/3.87 | Applying alpha-rule on (445) yields: % 14.34/3.87 | (441) all_0_105_105 = e23 % 14.34/3.87 | (443) ~ (all_0_103_103 = e21) % 14.34/3.87 | % 14.34/3.87 | Combining equations (548,441) yields a new equation: % 14.34/3.87 | (437) e23 = e20 % 14.34/3.87 | % 14.34/3.87 | Equations (437) can reduce 235 to: % 14.34/3.87 | (387) $false % 14.34/3.87 | % 14.34/3.87 |-The branch is then unsatisfiable % 14.34/3.87 |-Branch two: % 14.34/3.87 | (449) all_0_107_107 = e22 & all_0_112_112 = e23 & ~ (all_0_110_110 = e21) % 14.34/3.87 | % 14.34/3.87 | Applying alpha-rule on (449) yields: % 14.34/3.87 | (415) all_0_107_107 = e22 % 14.34/3.87 | (402) all_0_112_112 = e23 % 14.34/3.87 | (452) ~ (all_0_110_110 = e21) % 14.34/3.87 | % 14.34/3.87 | Combining equations (415,517) yields a new equation: % 14.34/3.87 | (703) e22 = e20 % 14.34/3.87 | % 14.34/3.87 | Simplifying 703 yields: % 14.34/3.87 | (438) e22 = e20 % 14.34/3.87 | % 14.34/3.87 | Equations (438) can reduce 241 to: % 14.34/3.87 | (387) $false % 14.34/3.87 | % 14.34/3.87 |-The branch is then unsatisfiable % 14.34/3.87 |-Branch two: % 14.34/3.87 | (454) all_0_112_112 = e23 & all_0_114_114 = e20 & ~ (all_0_110_110 = e21) % 14.34/3.87 | % 14.34/3.87 | Applying alpha-rule on (454) yields: % 14.34/3.87 | (402) all_0_112_112 = e23 % 14.34/3.87 | (389) all_0_114_114 = e20 % 14.34/3.87 | (452) ~ (all_0_110_110 = e21) % 14.34/3.87 | % 14.34/3.87 | Combining equations (389,386) yields a new equation: % 14.34/3.87 | (437) e23 = e20 % 14.34/3.87 | % 14.34/3.87 | Equations (437) can reduce 235 to: % 14.34/3.87 | (387) $false % 14.34/3.87 | % 14.34/3.87 |-The branch is then unsatisfiable % 14.34/3.87 |-Branch two: % 14.34/3.87 | (443) ~ (all_0_103_103 = e21) % 14.34/3.87 | (713) all_0_103_103 = e23 | all_0_103_103 = e22 | all_0_103_103 = e20 % 14.34/3.87 | % 14.34/3.87 +-Applying beta-rule and splitting (713), into two cases. % 14.34/3.87 |-Branch one: % 14.34/3.87 | (378) all_0_103_103 = e23 % 14.34/3.87 | % 14.34/3.87 | Equations (378) can reduce 528 to: % 14.34/3.87 | (387) $false % 14.34/3.87 | % 14.34/3.87 |-The branch is then unsatisfiable % 14.34/3.87 |-Branch two: % 14.34/3.87 | (528) ~ (all_0_103_103 = e23) % 14.34/3.87 | (717) all_0_103_103 = e22 | all_0_103_103 = e20 % 14.34/3.87 | % 14.34/3.87 +-Applying beta-rule and splitting (717), into two cases. % 14.34/3.87 |-Branch one: % 14.34/3.87 | (718) all_0_103_103 = e20 % 14.34/3.87 | % 14.34/3.87 | Equations (718) can reduce 643 to: % 14.34/3.87 | (387) $false % 14.34/3.87 | % 14.34/3.87 |-The branch is then unsatisfiable % 14.34/3.87 |-Branch two: % 14.34/3.87 | (643) ~ (all_0_103_103 = e20) % 14.34/3.87 | (409) all_0_103_103 = e22 % 14.34/3.87 | % 14.34/3.87 | Equations (409) can reduce 413 to: % 14.34/3.87 | (387) $false % 14.34/3.87 | % 14.34/3.87 |-The branch is then unsatisfiable % 14.34/3.87 |-Branch two: % 14.34/3.87 | (530) ~ (all_0_105_105 = e20) % 14.34/3.87 | (551) all_0_109_109 = e20 | all_0_112_112 = e20 % 14.34/3.87 | % 14.34/3.87 +-Applying beta-rule and splitting (551), into two cases. % 14.34/3.87 |-Branch one: % 14.34/3.87 | (552) all_0_109_109 = e20 % 14.34/3.87 | % 14.34/3.87 | Combining equations (515,552) yields a new equation: % 14.34/3.87 | (553) e21 = e20 % 14.34/3.87 | % 14.34/3.87 | Simplifying 553 yields: % 14.34/3.87 | (554) e21 = e20 % 14.34/3.87 | % 14.34/3.87 | Equations (554) can reduce 149 to: % 14.34/3.87 | (387) $false % 14.34/3.87 | % 14.34/3.87 |-The branch is then unsatisfiable % 14.34/3.87 |-Branch two: % 14.34/3.87 | (556) ~ (all_0_109_109 = e20) % 14.34/3.87 | (557) all_0_112_112 = e20 % 14.34/3.87 | % 14.34/3.87 | Equations (557) can reduce 621 to: % 14.34/3.87 | (387) $false % 14.34/3.87 | % 14.34/3.87 |-The branch is then unsatisfiable % 14.34/3.87 |-Branch two: % 14.34/3.87 | (540) ~ (all_0_106_106 = e22) % 14.34/3.87 | (541) all_0_113_113 = e22 % 14.34/3.87 | % 14.34/3.87 | Combining equations (541,619) yields a new equation: % 14.34/3.87 | (703) e22 = e20 % 14.34/3.87 | % 14.34/3.87 | Simplifying 703 yields: % 14.34/3.87 | (438) e22 = e20 % 14.34/3.87 | % 14.34/3.87 | Equations (438) can reduce 241 to: % 14.34/3.87 | (387) $false % 14.34/3.87 | % 14.34/3.87 |-The branch is then unsatisfiable % 14.34/3.87 |-Branch two: % 14.34/3.87 | (385) ~ (all_0_114_114 = e23) % 14.34/3.87 | (389) all_0_114_114 = e20 % 14.34/3.87 | % 14.34/3.87 | Equations (389) can reduce 519 to: % 14.34/3.87 | (387) $false % 14.34/3.87 | % 14.34/3.87 |-The branch is then unsatisfiable % 14.34/3.87 |-Branch two: % 14.34/3.87 | (390) ~ (all_0_107_107 = e20) % 14.34/3.87 | (741) all_0_108_108 = e20 | all_0_109_109 = e20 % 14.34/3.87 | % 14.34/3.87 +-Applying beta-rule and splitting (741), into two cases. % 14.34/3.87 |-Branch one: % 14.34/3.87 | (742) all_0_108_108 = e20 % 14.34/3.87 | % 14.34/3.87 | Combining equations (467,742) yields a new equation: % 14.34/3.87 | (703) e22 = e20 % 14.34/3.87 | % 14.34/3.87 | Simplifying 703 yields: % 14.34/3.87 | (438) e22 = e20 % 14.34/3.87 | % 14.34/3.87 | Equations (438) can reduce 241 to: % 14.34/3.87 | (387) $false % 14.34/3.87 | % 14.34/3.87 |-The branch is then unsatisfiable % 14.34/3.87 |-Branch two: % 14.34/3.87 | (746) ~ (all_0_108_108 = e20) % 14.34/3.87 | (552) all_0_109_109 = e20 % 14.34/3.87 | % 14.34/3.87 | Combining equations (552,515) yields a new equation: % 14.34/3.87 | (554) e21 = e20 % 14.34/3.87 | % 14.34/3.87 | Equations (554) can reduce 149 to: % 14.34/3.87 | (387) $false % 14.34/3.87 | % 14.34/3.87 |-The branch is then unsatisfiable % 14.34/3.87 |-Branch two: % 14.34/3.87 | (750) ~ (all_0_109_109 = e21) % 14.34/3.87 | (552) all_0_109_109 = e20 % 14.34/3.87 | % 14.34/3.87 | Equations (552) can reduce 52 to: % 14.34/3.87 | (530) ~ (all_0_105_105 = e20) % 14.34/3.87 | % 14.34/3.87 | Equations (552) can reduce 176 to: % 14.34/3.87 | (525) ~ (e22 = e20) % 14.34/3.87 | % 14.34/3.87 | Simplifying 525 yields: % 14.34/3.87 | (241) ~ (e22 = e20) % 14.34/3.87 | % 14.34/3.87 | Equations (552) can reduce 750 to: % 14.34/3.87 | (535) ~ (e21 = e20) % 14.34/3.87 | % 14.34/3.87 | Simplifying 535 yields: % 14.34/3.87 | (149) ~ (e21 = e20) % 14.34/3.87 | % 14.34/3.87 | From (552) and (266) follows: % 14.34/3.87 | (757) op2(e22, e21) = e20 % 14.34/3.87 | % 14.34/3.87 +-Applying beta-rule and splitting (180), into two cases. % 14.34/3.87 |-Branch one: % 14.34/3.87 | (758) all_0_107_107 = e21 % 14.34/3.87 | % 14.34/3.87 | Equations (758) can reduce 150 to: % 14.34/3.87 | (443) ~ (all_0_103_103 = e21) % 14.34/3.87 | % 14.34/3.87 | Equations (758) can reduce 15 to: % 14.34/3.87 | (760) ~ (all_0_110_110 = e21) % 14.34/3.87 | % 14.34/3.87 | Simplifying 760 yields: % 14.34/3.87 | (452) ~ (all_0_110_110 = e21) % 14.34/3.87 | % 14.34/3.87 | Equations (758) can reduce 358 to: % 14.34/3.87 | (572) ~ (e23 = e21) % 14.34/3.87 | % 14.34/3.87 | Simplifying 572 yields: % 14.34/3.87 | (123) ~ (e23 = e21) % 14.34/3.87 | % 14.34/3.87 | From (758) and (291) follows: % 14.34/3.87 | (764) op2(e22, e23) = e21 % 14.34/3.87 | % 14.34/3.87 +-Applying beta-rule and splitting (125), into two cases. % 14.34/3.87 |-Branch one: % 14.34/3.87 | (529) all_0_106_106 = e20 % 14.34/3.87 | % 14.34/3.87 | Equations (529) can reduce 162 to: % 14.34/3.87 | (530) ~ (all_0_105_105 = e20) % 14.34/3.87 | % 14.34/3.87 +-Applying beta-rule and splitting (207), into two cases. % 14.34/3.87 |-Branch one: % 14.34/3.87 | (409) all_0_103_103 = e22 % 14.34/3.87 | % 14.34/3.87 | Equations (409) can reduce 189 to: % 14.34/3.87 | (768) ~ (all_0_105_105 = e22) % 14.34/3.87 | % 14.34/3.87 | Simplifying 768 yields: % 14.34/3.87 | (169) ~ (all_0_105_105 = e22) % 14.34/3.88 | % 14.34/3.88 | Equations (409) can reduce 129 to: % 14.34/3.88 | (546) ~ (all_0_110_110 = e22) % 14.34/3.88 | % 14.34/3.88 | Simplifying 546 yields: % 14.34/3.88 | (542) ~ (all_0_110_110 = e22) % 14.34/3.88 | % 14.34/3.88 +-Applying beta-rule and splitting (354), into two cases. % 14.34/3.88 |-Branch one: % 14.34/3.88 | (460) all_0_110_110 = e22 % 14.34/3.88 | % 14.34/3.88 | Equations (460) can reduce 542 to: % 14.34/3.88 | (387) $false % 14.34/3.88 | % 14.34/3.88 |-The branch is then unsatisfiable % 14.34/3.88 |-Branch two: % 14.34/3.88 | (542) ~ (all_0_110_110 = e22) % 14.34/3.88 | (775) all_0_111_111 = e22 | all_0_113_113 = e22 % 14.34/3.88 | % 14.34/3.88 +-Applying beta-rule and splitting (775), into two cases. % 14.34/3.88 |-Branch one: % 14.34/3.88 | (776) all_0_111_111 = e22 % 14.34/3.88 | % 14.34/3.88 | Equations (776) can reduce 473 to: % 14.34/3.88 | (387) $false % 14.34/3.88 | % 14.34/3.88 |-The branch is then unsatisfiable % 14.34/3.88 |-Branch two: % 14.34/3.88 | (473) ~ (all_0_111_111 = e22) % 14.34/3.88 | (541) all_0_113_113 = e22 % 14.34/3.88 | % 14.34/3.88 | Equations (541) can reduce 87 to: % 14.34/3.88 | (542) ~ (all_0_110_110 = e22) % 14.34/3.88 | % 14.34/3.88 | Equations (541) can reduce 214 to: % 14.34/3.88 | (300) ~ (e22 = e21) % 14.34/3.88 | % 14.34/3.88 +-Applying beta-rule and splitting (468), into two cases. % 14.34/3.88 |-Branch one: % 14.34/3.88 | (413) ~ (all_0_103_103 = e22) % 14.34/3.88 | % 14.34/3.88 | Equations (409) can reduce 413 to: % 14.34/3.88 | (387) $false % 14.34/3.88 | % 14.34/3.88 |-The branch is then unsatisfiable % 14.34/3.88 |-Branch two: % 14.34/3.88 | (409) all_0_103_103 = e22 % 14.34/3.88 | (564) all_0_104_104 = e23 % 14.34/3.88 | % 14.34/3.88 | Equations (564) can reduce 160 to: % 14.34/3.88 | (786) ~ (all_0_105_105 = e23) % 14.34/3.88 | % 14.34/3.88 | Simplifying 786 yields: % 14.34/3.88 | (403) ~ (all_0_105_105 = e23) % 14.34/3.88 | % 14.34/3.88 | Equations (564) can reduce 287 to: % 14.34/3.88 | (788) ~ (all_0_115_115 = e23) % 14.34/3.88 | % 14.34/3.88 | Simplifying 788 yields: % 14.34/3.88 | (463) ~ (all_0_115_115 = e23) % 14.34/3.88 | % 14.34/3.88 +-Applying beta-rule and splitting (298), into two cases. % 14.34/3.88 |-Branch one: % 14.34/3.88 | (570) all_0_104_104 = e21 % 14.34/3.88 | % 14.34/3.88 | Combining equations (564,570) yields a new equation: % 14.34/3.88 | (599) e23 = e21 % 14.34/3.88 | % 14.34/3.88 | Simplifying 599 yields: % 14.34/3.88 | (578) e23 = e21 % 14.34/3.88 | % 14.34/3.88 | Equations (578) can reduce 123 to: % 14.34/3.88 | (387) $false % 14.34/3.88 | % 14.34/3.88 |-The branch is then unsatisfiable % 14.34/3.88 |-Branch two: % 14.34/3.88 | (591) ~ (all_0_104_104 = e21) % 14.34/3.88 | (592) all_0_108_108 = e21 | all_0_111_111 = e21 % 14.34/3.88 | % 14.34/3.88 +-Applying beta-rule and splitting (26), into two cases. % 14.34/3.88 |-Branch one: % 14.34/3.88 | (441) all_0_105_105 = e23 % 14.34/3.88 | % 14.34/3.88 | Equations (441) can reduce 403 to: % 14.34/3.88 | (387) $false % 14.34/3.88 | % 14.34/3.88 |-The branch is then unsatisfiable % 14.34/3.88 |-Branch two: % 14.34/3.88 | (403) ~ (all_0_105_105 = e23) % 14.34/3.88 | (402) all_0_112_112 = e23 % 14.34/3.88 | % 14.34/3.88 | Equations (402) can reduce 348 to: % 14.34/3.88 | (403) ~ (all_0_105_105 = e23) % 14.34/3.88 | % 14.34/3.88 +-Applying beta-rule and splitting (592), into two cases. % 14.34/3.88 |-Branch one: % 14.34/3.88 | (442) all_0_108_108 = e21 % 14.34/3.88 | % 14.34/3.88 | Combining equations (467,442) yields a new equation: % 14.34/3.88 | (594) e22 = e21 % 14.34/3.88 | % 14.34/3.88 | Simplifying 594 yields: % 14.34/3.88 | (461) e22 = e21 % 14.34/3.88 | % 14.34/3.88 | Equations (461) can reduce 300 to: % 14.34/3.88 | (387) $false % 14.34/3.88 | % 14.34/3.88 |-The branch is then unsatisfiable % 14.34/3.88 |-Branch two: % 14.34/3.88 | (597) ~ (all_0_108_108 = e21) % 14.34/3.88 | (425) all_0_111_111 = e21 % 14.34/3.88 | % 14.34/3.88 | Equations (425) can reduce 308 to: % 14.34/3.88 | (452) ~ (all_0_110_110 = e21) % 14.34/3.88 | % 14.34/3.88 +-Applying beta-rule and splitting (346), into two cases. % 14.34/3.88 |-Branch one: % 14.34/3.88 | (393) all_0_115_115 = e23 % 14.34/3.88 | % 14.34/3.88 | Equations (393) can reduce 463 to: % 14.34/3.88 | (387) $false % 14.34/3.88 | % 14.34/3.88 |-The branch is then unsatisfiable % 14.34/3.88 |-Branch two: % 14.34/3.88 | (463) ~ (all_0_115_115 = e23) % 14.34/3.88 | (432) all_0_115_115 = e20 % 14.34/3.88 | % 14.34/3.88 | Equations (432) can reduce 463 to: % 14.34/3.88 | (533) ~ (e23 = e20) % 14.34/3.88 | % 14.34/3.88 | Simplifying 533 yields: % 14.34/3.88 | (235) ~ (e23 = e20) % 14.34/3.88 | % 14.34/3.88 +-Applying beta-rule and splitting (36), into two cases. % 14.34/3.88 |-Branch one: % 14.34/3.88 | (386) all_0_114_114 = e23 % 14.34/3.88 | % 14.34/3.88 | Equations (386) can reduce 90 to: % 14.34/3.88 | (383) ~ (all_0_110_110 = e23) % 14.34/3.88 | % 14.34/3.88 +-Applying beta-rule and splitting (244), into two cases. % 14.34/3.88 |-Branch one: % 14.34/3.88 | (816) all_0_105_105 = e21 % 14.34/3.88 | % 14.34/3.88 | Equations (816) can reduce 403 to: % 14.34/3.88 | (572) ~ (e23 = e21) % 14.34/3.88 | % 14.34/3.88 | Simplifying 572 yields: % 14.34/3.88 | (123) ~ (e23 = e21) % 14.34/3.88 | % 14.34/3.88 | Equations (816) can reduce 169 to: % 14.34/3.88 | (658) ~ (e22 = e21) % 14.34/3.88 | % 14.34/3.88 | Simplifying 658 yields: % 14.34/3.88 | (300) ~ (e22 = e21) % 14.34/3.88 | % 14.34/3.88 +-Applying beta-rule and splitting (335), into two cases. % 14.34/3.88 |-Branch one: % 14.34/3.88 | (586) all_0_110_110 = e20 % 14.34/3.88 | % 14.34/3.88 | Equations (586) can reduce 383 to: % 14.34/3.88 | (533) ~ (e23 = e20) % 14.34/3.88 | % 14.34/3.88 | Simplifying 533 yields: % 14.34/3.88 | (235) ~ (e23 = e20) % 14.34/3.88 | % 14.34/3.88 +-Applying beta-rule and splitting (29), into two cases. % 14.34/3.88 |-Branch one: % 14.34/3.88 | (419) (all_0_103_103 = e22 & all_0_111_111 = e21 & ~ (all_0_104_104 = e23)) | (all_0_103_103 = e22 & all_0_115_115 = e20 & ~ (all_0_104_104 = e23)) | (all_0_105_105 = e23 & all_0_108_108 = e21 & ~ (all_0_103_103 = e21)) | (all_0_105_105 = e23 & ~ (all_0_103_103 = e21)) | (all_0_107_107 = e22 & all_0_112_112 = e23 & ~ (all_0_110_110 = e21)) % 14.34/3.88 | % 14.34/3.88 +-Applying beta-rule and splitting (419), into two cases. % 14.34/3.88 |-Branch one: % 14.34/3.88 | (420) (all_0_103_103 = e22 & all_0_111_111 = e21 & ~ (all_0_104_104 = e23)) | (all_0_103_103 = e22 & all_0_115_115 = e20 & ~ (all_0_104_104 = e23)) | (all_0_105_105 = e23 & all_0_108_108 = e21 & ~ (all_0_103_103 = e21)) | (all_0_105_105 = e23 & ~ (all_0_103_103 = e21)) % 14.34/3.88 | % 14.34/3.88 +-Applying beta-rule and splitting (420), into two cases. % 14.34/3.88 |-Branch one: % 14.34/3.88 | (421) (all_0_103_103 = e22 & all_0_111_111 = e21 & ~ (all_0_104_104 = e23)) | (all_0_103_103 = e22 & all_0_115_115 = e20 & ~ (all_0_104_104 = e23)) | (all_0_105_105 = e23 & all_0_108_108 = e21 & ~ (all_0_103_103 = e21)) % 14.34/3.88 | % 14.34/3.88 +-Applying beta-rule and splitting (421), into two cases. % 14.34/3.88 |-Branch one: % 14.34/3.88 | (422) (all_0_103_103 = e22 & all_0_111_111 = e21 & ~ (all_0_104_104 = e23)) | (all_0_103_103 = e22 & all_0_115_115 = e20 & ~ (all_0_104_104 = e23)) % 14.34/3.88 | % 14.34/3.88 +-Applying beta-rule and splitting (422), into two cases. % 14.34/3.88 |-Branch one: % 14.34/3.88 | (423) all_0_103_103 = e22 & all_0_111_111 = e21 & ~ (all_0_104_104 = e23) % 14.34/3.88 | % 14.34/3.88 | Applying alpha-rule on (423) yields: % 14.34/3.88 | (409) all_0_103_103 = e22 % 14.34/3.88 | (425) all_0_111_111 = e21 % 14.34/3.88 | (426) ~ (all_0_104_104 = e23) % 14.34/3.88 | % 14.34/3.88 | Equations (564) can reduce 426 to: % 14.34/3.88 | (387) $false % 14.34/3.88 | % 14.34/3.88 |-The branch is then unsatisfiable % 14.34/3.88 |-Branch two: % 14.34/3.88 | (430) all_0_103_103 = e22 & all_0_115_115 = e20 & ~ (all_0_104_104 = e23) % 14.34/3.88 | % 14.34/3.88 | Applying alpha-rule on (430) yields: % 14.34/3.88 | (409) all_0_103_103 = e22 % 14.34/3.88 | (432) all_0_115_115 = e20 % 14.34/3.88 | (426) ~ (all_0_104_104 = e23) % 14.34/3.88 | % 14.34/3.88 | Equations (564) can reduce 426 to: % 14.34/3.88 | (387) $false % 14.34/3.88 | % 14.34/3.88 |-The branch is then unsatisfiable % 14.34/3.88 |-Branch two: % 14.34/3.88 | (440) all_0_105_105 = e23 & all_0_108_108 = e21 & ~ (all_0_103_103 = e21) % 14.34/3.88 | % 14.34/3.88 | Applying alpha-rule on (440) yields: % 14.34/3.88 | (441) all_0_105_105 = e23 % 14.34/3.88 | (442) all_0_108_108 = e21 % 14.34/3.88 | (443) ~ (all_0_103_103 = e21) % 14.34/3.88 | % 14.34/3.88 | Combining equations (442,467) yields a new equation: % 14.34/3.88 | (461) e22 = e21 % 14.34/3.88 | % 14.34/3.88 | Equations (461) can reduce 300 to: % 14.34/3.88 | (387) $false % 14.34/3.88 | % 14.34/3.88 |-The branch is then unsatisfiable % 14.34/3.88 |-Branch two: % 14.34/3.88 | (445) all_0_105_105 = e23 & ~ (all_0_103_103 = e21) % 14.34/3.88 | % 14.34/3.88 | Applying alpha-rule on (445) yields: % 14.34/3.88 | (441) all_0_105_105 = e23 % 14.34/3.88 | (443) ~ (all_0_103_103 = e21) % 14.34/3.88 | % 14.34/3.88 | Combining equations (816,441) yields a new equation: % 14.34/3.88 | (578) e23 = e21 % 14.34/3.88 | % 14.34/3.88 | Equations (578) can reduce 123 to: % 14.34/3.88 | (387) $false % 14.34/3.88 | % 14.34/3.88 |-The branch is then unsatisfiable % 14.34/3.88 |-Branch two: % 14.34/3.88 | (449) all_0_107_107 = e22 & all_0_112_112 = e23 & ~ (all_0_110_110 = e21) % 14.34/3.88 | % 14.34/3.88 | Applying alpha-rule on (449) yields: % 14.34/3.88 | (415) all_0_107_107 = e22 % 14.34/3.88 | (402) all_0_112_112 = e23 % 14.34/3.88 | (452) ~ (all_0_110_110 = e21) % 14.34/3.88 | % 14.34/3.88 | Combining equations (415,758) yields a new equation: % 14.34/3.88 | (594) e22 = e21 % 14.34/3.88 | % 14.34/3.88 | Simplifying 594 yields: % 14.34/3.88 | (461) e22 = e21 % 14.34/3.88 | % 14.34/3.88 | Equations (461) can reduce 300 to: % 14.34/3.88 | (387) $false % 14.34/3.88 | % 14.34/3.88 |-The branch is then unsatisfiable % 14.34/3.88 |-Branch two: % 14.34/3.88 | (454) all_0_112_112 = e23 & all_0_114_114 = e20 & ~ (all_0_110_110 = e21) % 14.34/3.88 | % 14.34/3.88 | Applying alpha-rule on (454) yields: % 14.34/3.88 | (402) all_0_112_112 = e23 % 14.34/3.88 | (389) all_0_114_114 = e20 % 14.34/3.88 | (452) ~ (all_0_110_110 = e21) % 14.34/3.88 | % 14.34/3.88 | Combining equations (386,389) yields a new equation: % 14.34/3.88 | (436) e23 = e20 % 14.34/3.88 | % 14.34/3.88 | Simplifying 436 yields: % 14.34/3.88 | (437) e23 = e20 % 14.34/3.88 | % 14.34/3.88 | Equations (437) can reduce 235 to: % 14.34/3.88 | (387) $false % 14.34/3.88 | % 14.34/3.88 |-The branch is then unsatisfiable % 14.34/3.88 |-Branch two: % 14.34/3.88 | (559) ~ (all_0_110_110 = e20) % 14.34/3.88 | (864) all_0_111_111 = e20 | all_0_112_112 = e20 | all_0_113_113 = e20 % 14.34/3.88 | % 14.34/3.88 +-Applying beta-rule and splitting (133), into two cases. % 14.34/3.88 |-Branch one: % 14.34/3.88 | (408) all_0_110_110 = e21 % 14.34/3.88 | % 14.34/3.88 | Equations (408) can reduce 452 to: % 14.34/3.88 | (387) $false % 14.34/3.88 | % 14.34/3.88 |-The branch is then unsatisfiable % 14.34/3.88 |-Branch two: % 14.34/3.88 | (452) ~ (all_0_110_110 = e21) % 14.34/3.88 | (581) all_0_110_110 = e23 | all_0_110_110 = e22 | all_0_110_110 = e20 % 14.34/3.88 | % 14.34/3.88 +-Applying beta-rule and splitting (581), into two cases. % 14.34/3.88 |-Branch one: % 14.34/3.88 | (395) all_0_110_110 = e23 % 14.34/3.88 | % 14.34/3.88 | Equations (395) can reduce 383 to: % 14.34/3.88 | (387) $false % 14.34/3.88 | % 14.34/3.88 |-The branch is then unsatisfiable % 14.34/3.88 |-Branch two: % 14.34/3.88 | (383) ~ (all_0_110_110 = e23) % 14.34/3.88 | (585) all_0_110_110 = e22 | all_0_110_110 = e20 % 14.34/3.88 | % 14.34/3.88 +-Applying beta-rule and splitting (585), into two cases. % 14.34/3.88 |-Branch one: % 14.34/3.88 | (586) all_0_110_110 = e20 % 14.34/3.88 | % 14.34/3.88 | Equations (586) can reduce 559 to: % 14.34/3.88 | (387) $false % 14.34/3.88 | % 14.34/3.88 |-The branch is then unsatisfiable % 14.34/3.88 |-Branch two: % 14.34/3.88 | (559) ~ (all_0_110_110 = e20) % 14.34/3.88 | (460) all_0_110_110 = e22 % 14.34/3.88 | % 14.34/3.88 | Equations (460) can reduce 542 to: % 14.34/3.88 | (387) $false % 14.34/3.88 | % 14.34/3.88 |-The branch is then unsatisfiable % 14.34/3.88 |-Branch two: % 14.34/3.88 | (516) ~ (all_0_105_105 = e21) % 14.34/3.88 | (879) all_0_105_105 = e23 | all_0_105_105 = e20 % 14.34/3.88 | % 14.34/3.88 +-Applying beta-rule and splitting (879), into two cases. % 14.34/3.88 |-Branch one: % 14.34/3.88 | (441) all_0_105_105 = e23 % 14.34/3.88 | % 14.34/3.88 | Equations (441) can reduce 403 to: % 14.34/3.88 | (387) $false % 14.34/3.88 | % 14.34/3.88 |-The branch is then unsatisfiable % 14.34/3.88 |-Branch two: % 14.34/3.88 | (403) ~ (all_0_105_105 = e23) % 14.34/3.88 | (548) all_0_105_105 = e20 % 14.34/3.88 | % 14.34/3.88 | Equations (548) can reduce 530 to: % 14.34/3.88 | (387) $false % 14.34/3.88 | % 14.34/3.88 |-The branch is then unsatisfiable % 14.34/3.88 |-Branch two: % 14.34/3.88 | (385) ~ (all_0_114_114 = e23) % 14.34/3.88 | (393) all_0_115_115 = e23 % 14.34/3.88 | % 14.34/3.88 | Combining equations (432,393) yields a new equation: % 14.34/3.88 | (437) e23 = e20 % 14.34/3.88 | % 14.34/3.88 | Equations (437) can reduce 235 to: % 14.34/3.88 | (387) $false % 14.34/3.88 | % 14.34/3.88 |-The branch is then unsatisfiable % 14.34/3.88 |-Branch two: % 14.34/3.88 | (413) ~ (all_0_103_103 = e22) % 14.34/3.88 | (890) all_0_104_104 = e22 | all_0_106_106 = e22 % 14.34/3.88 | % 14.34/3.88 +-Applying beta-rule and splitting (890), into two cases. % 14.34/3.88 |-Branch one: % 14.34/3.88 | (891) all_0_104_104 = e22 % 14.34/3.88 | % 14.34/3.88 | Equations (891) can reduce 469 to: % 14.34/3.88 | (387) $false % 14.34/3.88 | % 14.34/3.88 |-The branch is then unsatisfiable % 14.34/3.88 |-Branch two: % 14.34/3.88 | (469) ~ (all_0_104_104 = e22) % 14.34/3.88 | (537) all_0_106_106 = e22 % 14.34/3.88 | % 14.34/3.88 | Combining equations (529,537) yields a new equation: % 14.34/3.88 | (438) e22 = e20 % 14.34/3.88 | % 14.34/3.88 | Equations (438) can reduce 241 to: % 14.34/3.88 | (387) $false % 14.34/3.88 | % 14.34/3.88 |-The branch is then unsatisfiable % 14.34/3.88 |-Branch two: % 14.34/3.88 | (618) ~ (all_0_106_106 = e20) % 14.34/3.88 | (537) all_0_106_106 = e22 % 14.34/3.88 | % 14.34/3.88 | Equations (537) can reduce 285 to: % 14.34/3.88 | (413) ~ (all_0_103_103 = e22) % 14.34/3.88 | % 14.34/3.88 | Equations (537) can reduce 162 to: % 14.34/3.88 | (169) ~ (all_0_105_105 = e22) % 14.34/3.88 | % 14.34/3.88 | Equations (537) can reduce 318 to: % 14.34/3.88 | (300) ~ (e22 = e21) % 14.34/3.89 | % 14.34/3.89 | Equations (537) can reduce 618 to: % 14.34/3.89 | (241) ~ (e22 = e20) % 14.34/3.89 | % 14.34/3.89 | From (537) and (312) follows: % 14.34/3.89 | (903) op2(e23, e20) = e22 % 14.34/3.89 | % 14.34/3.89 +-Applying beta-rule and splitting (354), into two cases. % 14.34/3.89 |-Branch one: % 14.34/3.89 | (460) all_0_110_110 = e22 % 14.34/3.89 | % 14.34/3.89 | Equations (460) can reduce 129 to: % 14.34/3.89 | (413) ~ (all_0_103_103 = e22) % 14.34/3.89 | % 14.34/3.89 | Equations (460) can reduce 90 to: % 14.34/3.89 | (906) ~ (all_0_114_114 = e22) % 14.34/3.89 | % 14.34/3.89 | Simplifying 906 yields: % 14.34/3.89 | (41) ~ (all_0_114_114 = e22) % 14.34/3.89 | % 14.34/3.89 | Equations (460) can reduce 452 to: % 14.34/3.89 | (300) ~ (e22 = e21) % 14.34/3.89 | % 14.34/3.89 | From (460) and (179) follows: % 14.34/3.89 | (909) op2(e21, e23) = e22 % 14.34/3.89 | % 14.34/3.89 +-Applying beta-rule and splitting (141), into two cases. % 14.34/3.89 |-Branch one: % 14.34/3.89 | (529) all_0_106_106 = e20 % 14.34/3.89 | % 14.34/3.89 | Combining equations (537,529) yields a new equation: % 14.34/3.89 | (703) e22 = e20 % 14.34/3.89 | % 14.34/3.89 | Simplifying 703 yields: % 14.34/3.89 | (438) e22 = e20 % 14.34/3.89 | % 14.34/3.89 | Equations (438) can reduce 241 to: % 14.34/3.89 | (387) $false % 14.34/3.89 | % 14.34/3.89 |-The branch is then unsatisfiable % 14.34/3.89 |-Branch two: % 14.34/3.89 | (618) ~ (all_0_106_106 = e20) % 14.34/3.89 | (619) all_0_113_113 = e20 % 14.34/3.89 | % 14.34/3.89 | Equations (619) can reduce 231 to: % 14.34/3.89 | (916) ~ (all_0_111_111 = e20) % 14.34/3.89 | % 14.34/3.89 | Equations (619) can reduce 140 to: % 14.34/3.89 | (621) ~ (all_0_112_112 = e20) % 14.34/3.89 | % 14.34/3.89 | Equations (619) can reduce 309 to: % 14.34/3.89 | (533) ~ (e23 = e20) % 14.34/3.89 | % 14.34/3.89 | Simplifying 533 yields: % 14.34/3.89 | (235) ~ (e23 = e20) % 14.34/3.89 | % 14.34/3.89 | From (619) and (103) follows: % 14.34/3.89 | (920) op2(e21, e20) = e20 % 14.34/3.89 | % 14.34/3.89 +-Applying beta-rule and splitting (36), into two cases. % 14.34/3.89 |-Branch one: % 14.34/3.89 | (386) all_0_114_114 = e23 % 14.34/3.89 | % 14.34/3.89 | Equations (386) can reduce 148 to: % 14.34/3.89 | (788) ~ (all_0_115_115 = e23) % 14.34/3.89 | % 14.34/3.89 | Simplifying 788 yields: % 14.34/3.89 | (463) ~ (all_0_115_115 = e23) % 14.34/3.89 | % 14.34/3.89 | From (386) and (279) follows: % 14.34/3.89 | (924) op2(e20, e23) = e23 % 14.34/3.89 | % 14.34/3.89 +-Applying beta-rule and splitting (346), into two cases. % 14.34/3.89 |-Branch one: % 14.34/3.89 | (393) all_0_115_115 = e23 % 14.34/3.89 | % 14.34/3.89 | Equations (393) can reduce 463 to: % 14.34/3.89 | (387) $false % 14.34/3.89 | % 14.34/3.89 |-The branch is then unsatisfiable % 14.34/3.89 |-Branch two: % 14.34/3.89 | (463) ~ (all_0_115_115 = e23) % 14.34/3.89 | (432) all_0_115_115 = e20 % 14.34/3.89 | % 14.34/3.89 | Equations (432) can reduce 463 to: % 14.34/3.89 | (533) ~ (e23 = e20) % 14.34/3.89 | % 14.34/3.89 | Simplifying 533 yields: % 14.34/3.89 | (235) ~ (e23 = e20) % 14.34/3.89 | % 14.34/3.89 | From (432) and (136) follows: % 14.34/3.89 | (931) op2(e20, e22) = e20 % 14.34/3.89 | % 14.34/3.89 +-Applying beta-rule and splitting (301), into two cases. % 14.34/3.89 |-Branch one: % 14.34/3.89 | (655) all_0_103_103 = e21 % 14.34/3.89 | % 14.34/3.89 | Equations (655) can reduce 443 to: % 14.34/3.89 | (387) $false % 14.34/3.89 | % 14.34/3.89 |-The branch is then unsatisfiable % 14.34/3.89 |-Branch two: % 14.34/3.89 | (443) ~ (all_0_103_103 = e21) % 14.34/3.89 | (713) all_0_103_103 = e23 | all_0_103_103 = e22 | all_0_103_103 = e20 % 14.34/3.89 | % 14.34/3.89 +-Applying beta-rule and splitting (29), into two cases. % 14.34/3.89 |-Branch one: % 14.34/3.89 | (419) (all_0_103_103 = e22 & all_0_111_111 = e21 & ~ (all_0_104_104 = e23)) | (all_0_103_103 = e22 & all_0_115_115 = e20 & ~ (all_0_104_104 = e23)) | (all_0_105_105 = e23 & all_0_108_108 = e21 & ~ (all_0_103_103 = e21)) | (all_0_105_105 = e23 & ~ (all_0_103_103 = e21)) | (all_0_107_107 = e22 & all_0_112_112 = e23 & ~ (all_0_110_110 = e21)) % 14.34/3.89 | % 14.34/3.89 +-Applying beta-rule and splitting (419), into two cases. % 14.34/3.89 |-Branch one: % 14.34/3.89 | (420) (all_0_103_103 = e22 & all_0_111_111 = e21 & ~ (all_0_104_104 = e23)) | (all_0_103_103 = e22 & all_0_115_115 = e20 & ~ (all_0_104_104 = e23)) | (all_0_105_105 = e23 & all_0_108_108 = e21 & ~ (all_0_103_103 = e21)) | (all_0_105_105 = e23 & ~ (all_0_103_103 = e21)) % 14.34/3.89 | % 14.34/3.89 +-Applying beta-rule and splitting (420), into two cases. % 14.34/3.89 |-Branch one: % 14.34/3.89 | (421) (all_0_103_103 = e22 & all_0_111_111 = e21 & ~ (all_0_104_104 = e23)) | (all_0_103_103 = e22 & all_0_115_115 = e20 & ~ (all_0_104_104 = e23)) | (all_0_105_105 = e23 & all_0_108_108 = e21 & ~ (all_0_103_103 = e21)) % 14.34/3.89 | % 14.34/3.89 +-Applying beta-rule and splitting (421), into two cases. % 14.34/3.89 |-Branch one: % 14.34/3.89 | (422) (all_0_103_103 = e22 & all_0_111_111 = e21 & ~ (all_0_104_104 = e23)) | (all_0_103_103 = e22 & all_0_115_115 = e20 & ~ (all_0_104_104 = e23)) % 14.34/3.89 | % 14.34/3.89 +-Applying beta-rule and splitting (422), into two cases. % 14.34/3.89 |-Branch one: % 14.34/3.89 | (423) all_0_103_103 = e22 & all_0_111_111 = e21 & ~ (all_0_104_104 = e23) % 14.34/3.89 | % 14.34/3.89 | Applying alpha-rule on (423) yields: % 14.34/3.89 | (409) all_0_103_103 = e22 % 14.34/3.89 | (425) all_0_111_111 = e21 % 14.34/3.89 | (426) ~ (all_0_104_104 = e23) % 14.34/3.89 | % 14.34/3.89 | Equations (409) can reduce 413 to: % 14.34/3.89 | (387) $false % 14.34/3.89 | % 14.34/3.89 |-The branch is then unsatisfiable % 14.34/3.89 |-Branch two: % 14.34/3.89 | (430) all_0_103_103 = e22 & all_0_115_115 = e20 & ~ (all_0_104_104 = e23) % 14.34/3.89 | % 14.34/3.89 | Applying alpha-rule on (430) yields: % 14.34/3.89 | (409) all_0_103_103 = e22 % 14.34/3.89 | (432) all_0_115_115 = e20 % 14.34/3.89 | (426) ~ (all_0_104_104 = e23) % 14.34/3.89 | % 14.34/3.89 | Equations (409) can reduce 413 to: % 14.34/3.89 | (387) $false % 14.34/3.89 | % 14.34/3.89 |-The branch is then unsatisfiable % 14.34/3.89 |-Branch two: % 14.34/3.89 | (440) all_0_105_105 = e23 & all_0_108_108 = e21 & ~ (all_0_103_103 = e21) % 14.34/3.89 | % 14.34/3.89 | Applying alpha-rule on (440) yields: % 14.34/3.89 | (441) all_0_105_105 = e23 % 14.34/3.89 | (442) all_0_108_108 = e21 % 14.34/3.89 | (443) ~ (all_0_103_103 = e21) % 14.34/3.89 | % 14.34/3.89 | Combining equations (467,442) yields a new equation: % 14.34/3.89 | (594) e22 = e21 % 14.34/3.89 | % 14.34/3.89 | Simplifying 594 yields: % 14.34/3.89 | (461) e22 = e21 % 14.34/3.89 | % 14.34/3.89 | Equations (461) can reduce 300 to: % 14.34/3.89 | (387) $false % 14.34/3.89 | % 14.34/3.89 |-The branch is then unsatisfiable % 14.34/3.89 |-Branch two: % 14.34/3.89 | (445) all_0_105_105 = e23 & ~ (all_0_103_103 = e21) % 14.34/3.89 | % 14.34/3.89 | Applying alpha-rule on (445) yields: % 14.34/3.89 | (441) all_0_105_105 = e23 % 14.34/3.89 | (443) ~ (all_0_103_103 = e21) % 14.34/3.89 | % 14.34/3.89 | Equations (441) can reduce 189 to: % 14.34/3.89 | (528) ~ (all_0_103_103 = e23) % 14.34/3.89 | % 14.34/3.89 | Equations (441) can reduce 160 to: % 14.34/3.89 | (426) ~ (all_0_104_104 = e23) % 14.34/3.89 | % 14.34/3.89 | Equations (441) can reduce 348 to: % 14.34/3.89 | (962) ~ (all_0_112_112 = e23) % 14.34/3.89 | % 14.34/3.89 | Simplifying 962 yields: % 14.34/3.89 | (405) ~ (all_0_112_112 = e23) % 14.34/3.89 | % 14.34/3.89 | From (441) and (192) follows: % 14.34/3.89 | (964) op2(e23, e21) = e23 % 14.34/3.89 | % 14.34/3.89 +-Applying beta-rule and splitting (99), into two cases. % 14.34/3.89 |-Branch one: % 14.34/3.89 | (564) all_0_104_104 = e23 % 14.34/3.89 | % 14.34/3.89 | Equations (564) can reduce 426 to: % 14.34/3.89 | (387) $false % 14.34/3.89 | % 14.34/3.89 |-The branch is then unsatisfiable % 14.34/3.89 |-Branch two: % 14.34/3.89 | (426) ~ (all_0_104_104 = e23) % 14.34/3.89 | (567) all_0_111_111 = e23 | all_0_115_115 = e23 % 14.34/3.89 | % 14.34/3.89 +-Applying beta-rule and splitting (713), into two cases. % 14.34/3.89 |-Branch one: % 14.34/3.89 | (378) all_0_103_103 = e23 % 14.34/3.89 | % 14.34/3.89 | Equations (378) can reduce 528 to: % 14.34/3.89 | (387) $false % 14.34/3.89 | % 14.34/3.89 |-The branch is then unsatisfiable % 14.34/3.89 |-Branch two: % 14.34/3.89 | (528) ~ (all_0_103_103 = e23) % 14.34/3.89 | (717) all_0_103_103 = e22 | all_0_103_103 = e20 % 14.34/3.89 | % 14.34/3.89 +-Applying beta-rule and splitting (717), into two cases. % 14.34/3.89 |-Branch one: % 14.34/3.89 | (718) all_0_103_103 = e20 % 14.34/3.89 | % 14.34/3.89 | Equations (718) can reduce 528 to: % 14.34/3.89 | (533) ~ (e23 = e20) % 14.34/3.89 | % 14.34/3.89 | Simplifying 533 yields: % 14.34/3.89 | (235) ~ (e23 = e20) % 14.34/3.89 | % 14.34/3.89 | From (718) and (7) follows: % 14.34/3.89 | (976) h4(e11) = e20 % 14.34/3.89 | % 14.34/3.89 | From (718) and (76) follows: % 14.34/3.89 | (977) op2(all_0_97_97, e20) = all_0_4_4 % 14.34/3.89 | % 14.34/3.89 | From (718) and (43) follows: % 14.34/3.89 | (978) op2(all_0_98_98, e20) = all_0_12_12 % 14.34/3.89 | % 14.34/3.89 | From (718) and (245) follows: % 14.34/3.89 | (979) op2(e20, all_0_97_97) = all_0_15_15 % 14.34/3.89 | % 14.34/3.89 | From (718) and (37) follows: % 14.34/3.89 | (980) op2(e20, all_0_98_98) = all_0_17_17 % 14.34/3.89 | % 14.34/3.89 | From (718)(718) and (321) follows: % 14.34/3.89 | (981) op2(e20, e20) = all_0_19_19 % 14.34/3.89 | % 14.34/3.89 | From (718) and (117) follows: % 14.34/3.89 | (982) op2(e20, e23) = all_0_21_21 % 14.34/3.89 | % 14.34/3.89 | From (718) and (226) follows: % 14.34/3.89 | (983) op2(e23, e20) = all_0_98_98 % 14.34/3.89 | % 14.34/3.89 +-Applying beta-rule and splitting (227), into two cases. % 14.34/3.89 |-Branch one: % 14.34/3.89 | (984) all_0_112_112 = e21 % 14.34/3.89 | % 14.34/3.89 | Equations (984) can reduce 405 to: % 14.34/3.89 | (572) ~ (e23 = e21) % 14.34/3.89 | % 14.34/3.89 | Simplifying 572 yields: % 14.34/3.89 | (123) ~ (e23 = e21) % 14.34/3.89 | % 14.34/3.89 | Equations (984) can reduce 621 to: % 14.34/3.89 | (149) ~ (e21 = e20) % 14.34/3.89 | % 14.34/3.89 | From (984) and (55) follows: % 14.34/3.89 | (988) op2(all_0_101_101, e21) = all_0_60_60 % 14.34/3.89 | % 14.34/3.89 | From (984) and (6) follows: % 14.34/3.89 | (989) op2(e21, all_0_101_101) = all_0_71_71 % 14.34/3.89 | % 14.34/3.89 | From (984)(984) and (34) follows: % 14.34/3.89 | (990) op2(e21, e21) = all_0_75_75 % 14.69/3.89 | % 14.69/3.89 | From (984) and (167) follows: % 14.69/3.89 | (991) op2(e21, e21) = all_0_77_77 % 14.69/3.89 | % 14.69/3.89 | From (984) and (10) follows: % 14.69/3.89 | (992) op2(e21, e21) = all_0_102_102 % 14.69/3.89 | % 14.69/3.89 | From (984) and (60) follows: % 14.69/3.89 | (993) op2(e21, e21) = e21 % 14.69/3.89 | % 14.69/3.89 +-Applying beta-rule and splitting (337), into two cases. % 14.69/3.89 |-Branch one: % 14.69/3.89 | (655) all_0_103_103 = e21 % 14.69/3.89 | % 14.69/3.89 | Combining equations (718,655) yields a new equation: % 14.69/3.89 | (554) e21 = e20 % 14.69/3.89 | % 14.69/3.89 | Equations (554) can reduce 149 to: % 14.69/3.89 | (387) $false % 14.69/3.89 | % 14.69/3.89 |-The branch is then unsatisfiable % 14.69/3.89 |-Branch two: % 14.69/3.89 | (443) ~ (all_0_103_103 = e21) % 14.69/3.89 | (998) all_0_104_104 = e21 | all_0_105_105 = e21 % 14.69/3.89 | % 14.69/3.89 +-Applying beta-rule and splitting (998), into two cases. % 14.69/3.89 |-Branch one: % 14.69/3.89 | (570) all_0_104_104 = e21 % 14.69/3.89 | % 14.69/3.89 | From (570) and (304) follows: % 14.69/3.89 | (1000) op2(e23, e22) = e21 % 14.69/3.89 | % 14.69/3.89 +-Applying beta-rule and splitting (567), into two cases. % 14.69/3.89 |-Branch one: % 14.69/3.89 | (399) all_0_111_111 = e23 % 14.69/3.89 | % 14.69/3.89 | From (399) and (166) follows: % 14.69/3.89 | (1002) op2(e21, e22) = e23 % 14.69/3.89 | % 14.69/3.89 | Instantiating formula (344) with all_0_101_101, e21, all_0_60_60, all_0_62_62 and discharging atoms op2(all_0_101_101, e21) = all_0_60_60, op2(all_0_101_101, e21) = all_0_62_62, yields: % 14.69/3.89 | (1003) all_0_60_60 = all_0_62_62 % 14.69/3.89 | % 14.69/3.89 | Instantiating formula (344) with e23, e20, all_0_98_98, e22 and discharging atoms op2(e23, e20) = all_0_98_98, op2(e23, e20) = e22, yields: % 14.69/3.90 | (1004) all_0_98_98 = e22 % 14.69/3.90 | % 14.69/3.90 | Instantiating formula (344) with e21, all_0_101_101, all_0_71_71, all_0_79_79 and discharging atoms op2(e21, all_0_101_101) = all_0_71_71, op2(e21, all_0_101_101) = all_0_79_79, yields: % 14.69/3.90 | (1005) all_0_71_71 = all_0_79_79 % 14.69/3.90 | % 14.69/3.90 | Instantiating formula (344) with e21, e21, all_0_77_77, all_0_75_75 and discharging atoms op2(e21, e21) = all_0_75_75, op2(e21, e21) = all_0_77_77, yields: % 14.69/3.90 | (1006) all_0_75_75 = all_0_77_77 % 14.69/3.90 | % 14.69/3.90 | Instantiating formula (344) with e21, e21, all_0_102_102, all_0_75_75 and discharging atoms op2(e21, e21) = all_0_75_75, op2(e21, e21) = all_0_102_102, yields: % 14.69/3.90 | (1007) all_0_75_75 = all_0_102_102 % 14.69/3.90 | % 14.69/3.90 | Instantiating formula (344) with e21, e21, e21, all_0_75_75 and discharging atoms op2(e21, e21) = all_0_75_75, op2(e21, e21) = e21, yields: % 14.69/3.90 | (1008) all_0_75_75 = e21 % 14.69/3.90 | % 14.69/3.90 | Instantiating formula (344) with e20, e23, e23, all_0_21_21 and discharging atoms op2(e20, e23) = all_0_21_21, op2(e20, e23) = e23, yields: % 14.69/3.90 | (1009) all_0_21_21 = e23 % 14.69/3.90 | % 14.69/3.90 | Instantiating formula (344) with e20, e20, all_0_19_19, e21 and discharging atoms op2(e20, e20) = all_0_19_19, op2(e20, e20) = e21, yields: % 14.69/3.90 | (1010) all_0_19_19 = e21 % 14.69/3.90 | % 14.69/3.90 | Combining equations (1007,1006) yields a new equation: % 14.69/3.90 | (1011) all_0_77_77 = all_0_102_102 % 14.69/3.90 | % 14.69/3.90 | Combining equations (1008,1006) yields a new equation: % 14.69/3.90 | (1012) all_0_77_77 = e21 % 14.69/3.90 | % 14.69/3.90 | Combining equations (1012,1011) yields a new equation: % 14.69/3.90 | (1013) all_0_102_102 = e21 % 14.69/3.90 | % 14.69/3.90 | Combining equations (1004,368) yields a new equation: % 14.69/3.90 | (1014) all_0_27_27 = e22 % 14.69/3.90 | % 14.69/3.90 | From (1004) and (200) follows: % 14.69/3.90 | (1015) h4(e12) = e22 % 14.69/3.90 | % 14.69/3.90 | From (1004) and (107) follows: % 14.69/3.90 | (1016) op2(all_0_97_97, e22) = all_0_2_2 % 14.69/3.90 | % 14.69/3.90 | From (1004) and (232) follows: % 14.69/3.90 | (1017) op2(e22, all_0_97_97) = all_0_8_8 % 14.69/3.90 | % 14.69/3.90 | From (1004)(1004) and (23) follows: % 14.69/3.90 | (1018) op2(e22, e22) = all_0_10_10 % 14.69/3.90 | % 14.69/3.90 | From (1004) and (61) follows: % 14.69/3.90 | (1019) op2(e22, e23) = all_0_97_97 % 14.69/3.90 | % 14.69/3.90 | From (1004) and (978) follows: % 14.69/3.90 | (1020) op2(e22, e20) = all_0_12_12 % 14.69/3.90 | % 14.69/3.90 | From (1003) and (988) follows: % 14.69/3.90 | (325) op2(all_0_101_101, e21) = all_0_62_62 % 14.69/3.90 | % 14.69/3.90 | From (1013)(1013) and (24) follows: % 14.69/3.90 | (1022) op2(e21, e21) = all_0_66_66 % 14.69/3.90 | % 14.69/3.90 | From (1013) and (356) follows: % 14.69/3.90 | (1023) op2(e21, e21) = all_0_101_101 % 14.69/3.90 | % 14.69/3.90 | From (1004) and (339) follows: % 14.69/3.90 | (1024) op2(e23, e22) = all_0_25_25 % 14.69/3.90 | % 14.69/3.90 | From (1005) and (989) follows: % 14.69/3.90 | (243) op2(e21, all_0_101_101) = all_0_79_79 % 14.69/3.90 | % 14.69/3.90 | From (1013) and (359) follows: % 14.69/3.90 | (1026) op2(e21, e21) = all_0_81_81 % 14.69/3.90 | % 14.69/3.90 | From (1013) and (992) follows: % 14.69/3.90 | (993) op2(e21, e21) = e21 % 14.69/3.90 | % 14.69/3.90 | From (1004) and (980) follows: % 14.69/3.90 | (1028) op2(e20, e22) = all_0_17_17 % 14.69/3.90 | % 14.69/3.90 | Instantiating formula (344) with e23, e22, all_0_25_25, e21 and discharging atoms op2(e23, e22) = all_0_25_25, op2(e23, e22) = e21, yields: % 14.69/3.90 | (1029) all_0_25_25 = e21 % 14.69/3.90 | % 14.69/3.90 | Instantiating formula (344) with e22, e23, all_0_97_97, e21 and discharging atoms op2(e22, e23) = all_0_97_97, op2(e22, e23) = e21, yields: % 14.69/3.90 | (1030) all_0_97_97 = e21 % 14.69/3.90 | % 14.69/3.90 | Instantiating formula (344) with e22, e22, all_0_10_10, e22 and discharging atoms op2(e22, e22) = all_0_10_10, op2(e22, e22) = e22, yields: % 14.69/3.90 | (1031) all_0_10_10 = e22 % 14.69/3.90 | % 14.69/3.90 | Instantiating formula (344) with e22, e20, all_0_12_12, e23 and discharging atoms op2(e22, e20) = all_0_12_12, op2(e22, e20) = e23, yields: % 14.69/3.90 | (1032) all_0_12_12 = e23 % 14.69/3.90 | % 14.69/3.90 | Instantiating formula (344) with e21, e21, all_0_66_66, e21 and discharging atoms op2(e21, e21) = all_0_66_66, op2(e21, e21) = e21, yields: % 14.69/3.90 | (1033) all_0_66_66 = e21 % 14.69/3.90 | % 14.69/3.90 | Instantiating formula (344) with e21, e21, all_0_81_81, all_0_66_66 and discharging atoms op2(e21, e21) = all_0_66_66, op2(e21, e21) = all_0_81_81, yields: % 14.69/3.90 | (1034) all_0_66_66 = all_0_81_81 % 14.69/3.90 | % 14.69/3.90 | Instantiating formula (344) with e21, e21, all_0_101_101, all_0_81_81 and discharging atoms op2(e21, e21) = all_0_81_81, op2(e21, e21) = all_0_101_101, yields: % 14.69/3.90 | (1035) all_0_81_81 = all_0_101_101 % 14.69/3.90 | % 14.69/3.90 | Instantiating formula (344) with e20, e22, all_0_17_17, e20 and discharging atoms op2(e20, e22) = all_0_17_17, op2(e20, e22) = e20, yields: % 14.69/3.90 | (1036) all_0_17_17 = e20 % 14.69/3.90 | % 14.69/3.90 | Combining equations (1034,1033) yields a new equation: % 14.69/3.90 | (1037) all_0_81_81 = e21 % 14.69/3.90 | % 14.69/3.90 | Simplifying 1037 yields: % 14.69/3.90 | (1038) all_0_81_81 = e21 % 14.69/3.90 | % 14.69/3.90 | Combining equations (1035,1038) yields a new equation: % 14.69/3.90 | (1039) all_0_101_101 = e21 % 14.69/3.90 | % 14.69/3.90 | Simplifying 1039 yields: % 14.69/3.90 | (1040) all_0_101_101 = e21 % 14.69/3.90 | % 14.69/3.90 | Combining equations (1030,365) yields a new equation: % 14.69/3.90 | (1041) all_0_14_14 = e21 % 14.69/3.90 | % 14.69/3.90 | From (1030) and (80) follows: % 14.69/3.90 | (1042) h4(e13) = e21 % 14.69/3.90 | % 14.69/3.90 | From (1030)(1030) and (217) follows: % 14.69/3.90 | (1043) op2(e21, e21) = all_0_0_0 % 14.69/3.90 | % 14.69/3.90 | From (1030) and (357) follows: % 14.69/3.90 | (1044) op2(e21, e23) = all_0_6_6 % 14.69/3.90 | % 14.69/3.90 | From (1030) and (1016) follows: % 14.69/3.90 | (1045) op2(e21, e22) = all_0_2_2 % 14.69/3.90 | % 14.69/3.90 | From (1030) and (977) follows: % 14.69/3.90 | (1046) op2(e21, e20) = all_0_4_4 % 14.69/3.90 | % 14.69/3.90 | From (1040)(1040) and (332) follows: % 14.69/3.90 | (1047) op2(e21, e21) = all_0_56_56 % 14.69/3.90 | % 14.69/3.90 | From (1040) and (325) follows: % 14.69/3.90 | (1048) op2(e21, e21) = all_0_62_62 % 14.69/3.90 | % 14.69/3.90 | From (1030) and (272) follows: % 14.69/3.90 | (1049) op2(e23, e21) = all_0_23_23 % 14.69/3.90 | % 14.69/3.90 | From (1030) and (1017) follows: % 14.69/3.90 | (1050) op2(e22, e21) = all_0_8_8 % 14.69/3.90 | % 14.69/3.90 | From (1040) and (243) follows: % 14.69/3.90 | (1051) op2(e21, e21) = all_0_79_79 % 14.69/3.90 | % 14.69/3.90 | From (1040) and (1023) follows: % 14.69/3.90 | (993) op2(e21, e21) = e21 % 14.69/3.90 | % 14.69/3.90 | From (1030) and (979) follows: % 14.69/3.90 | (1053) op2(e20, e21) = all_0_15_15 % 14.69/3.90 | % 14.69/3.90 | Instantiating formula (344) with e23, e21, all_0_23_23, e23 and discharging atoms op2(e23, e21) = all_0_23_23, op2(e23, e21) = e23, yields: % 14.69/3.90 | (1054) all_0_23_23 = e23 % 14.69/3.90 | % 14.69/3.90 | Instantiating formula (344) with e22, e21, all_0_8_8, e20 and discharging atoms op2(e22, e21) = all_0_8_8, op2(e22, e21) = e20, yields: % 14.69/3.90 | (1055) all_0_8_8 = e20 % 14.69/3.90 | % 14.69/3.90 | Instantiating formula (344) with e21, e23, all_0_6_6, e22 and discharging atoms op2(e21, e23) = all_0_6_6, op2(e21, e23) = e22, yields: % 14.69/3.90 | (1056) all_0_6_6 = e22 % 14.69/3.90 | % 14.69/3.90 | Instantiating formula (344) with e21, e22, all_0_2_2, e23 and discharging atoms op2(e21, e22) = all_0_2_2, op2(e21, e22) = e23, yields: % 14.69/3.90 | (1057) all_0_2_2 = e23 % 14.69/3.90 | % 14.69/3.90 | Instantiating formula (344) with e21, e21, all_0_56_56, e21 and discharging atoms op2(e21, e21) = all_0_56_56, op2(e21, e21) = e21, yields: % 14.69/3.91 | (1058) all_0_56_56 = e21 % 14.69/3.91 | % 14.69/3.91 | Instantiating formula (344) with e21, e21, all_0_56_56, all_0_0_0 and discharging atoms op2(e21, e21) = all_0_0_0, op2(e21, e21) = all_0_56_56, yields: % 14.69/3.91 | (1059) all_0_0_0 = all_0_56_56 % 14.69/3.91 | % 14.69/3.91 | Instantiating formula (344) with e21, e21, all_0_62_62, all_0_56_56 and discharging atoms op2(e21, e21) = all_0_56_56, op2(e21, e21) = all_0_62_62, yields: % 14.69/3.91 | (1060) all_0_56_56 = all_0_62_62 % 14.69/3.91 | % 14.69/3.91 | Instantiating formula (344) with e21, e21, all_0_79_79, all_0_0_0 and discharging atoms op2(e21, e21) = all_0_0_0, op2(e21, e21) = all_0_79_79, yields: % 14.69/3.91 | (1061) all_0_0_0 = all_0_79_79 % 14.69/3.91 | % 14.69/3.91 | Instantiating formula (344) with e21, e20, all_0_4_4, e20 and discharging atoms op2(e21, e20) = all_0_4_4, op2(e21, e20) = e20, yields: % 14.69/3.91 | (1062) all_0_4_4 = e20 % 14.69/3.91 | % 14.69/3.91 | Instantiating formula (344) with e20, e21, all_0_15_15, e22 and discharging atoms op2(e20, e21) = all_0_15_15, op2(e20, e21) = e22, yields: % 14.69/3.91 | (1063) all_0_15_15 = e22 % 14.69/3.91 | % 14.69/3.91 | Combining equations (1059,1061) yields a new equation: % 14.69/3.91 | (1064) all_0_56_56 = all_0_79_79 % 14.69/3.91 | % 14.69/3.91 | Simplifying 1064 yields: % 14.69/3.91 | (1065) all_0_56_56 = all_0_79_79 % 14.69/3.91 | % 14.69/3.91 | Combining equations (1058,1060) yields a new equation: % 14.69/3.91 | (1066) all_0_62_62 = e21 % 14.69/3.91 | % 14.69/3.91 | Combining equations (1065,1060) yields a new equation: % 14.69/3.91 | (1067) all_0_62_62 = all_0_79_79 % 14.69/3.91 | % 14.69/3.91 | Combining equations (1067,1066) yields a new equation: % 14.69/3.91 | (1068) all_0_79_79 = e21 % 14.69/3.91 | % 14.69/3.91 | Simplifying 1068 yields: % 14.69/3.91 | (1069) all_0_79_79 = e21 % 14.69/3.91 | % 14.69/3.91 | Combining equations (1069,1061) yields a new equation: % 14.69/3.91 | (1070) all_0_0_0 = e21 % 14.69/3.91 | % 14.69/3.91 +-Applying beta-rule and splitting (203), into two cases. % 14.69/3.91 |-Branch one: % 14.69/3.91 | (1071) all_0_128_128 = e10 % 14.69/3.91 | % 14.69/3.91 | Equations (1071) can reduce 324 to: % 14.69/3.91 | (1072) ~ (all_0_117_117 = e10) % 14.69/3.91 | % 14.69/3.91 | Equations (1071) can reduce 126 to: % 14.69/3.91 | (1073) ~ (all_0_121_121 = e10) % 14.69/3.91 | % 14.69/3.91 | Equations (1071) can reduce 284 to: % 14.69/3.91 | (1074) ~ (all_0_124_124 = e10) % 14.69/3.91 | % 14.69/3.91 | Equations (1071) can reduce 68 to: % 14.69/3.91 | (1075) ~ (all_0_127_127 = e10) % 14.69/3.91 | % 14.69/3.91 | From (1071) and (106) follows: % 14.69/3.91 | (1076) h1(e10) = all_0_96_96 % 14.69/3.91 | % 14.69/3.91 +-Applying beta-rule and splitting (156), into two cases. % 14.69/3.91 |-Branch one: % 14.69/3.91 | (1077) all_0_127_127 = e10 % 14.69/3.91 | % 14.69/3.91 | Equations (1077) can reduce 1075 to: % 14.69/3.91 | (387) $false % 14.69/3.91 | % 14.69/3.91 |-The branch is then unsatisfiable % 14.69/3.91 |-Branch two: % 14.69/3.91 | (1075) ~ (all_0_127_127 = e10) % 14.69/3.91 | (1080) all_0_127_127 = e13 % 14.69/3.91 | % 14.69/3.91 | Equations (1080) can reduce 120 to: % 14.69/3.91 | (1081) ~ (all_0_116_116 = e13) % 14.69/3.91 | % 14.69/3.91 | Equations (1080) can reduce 165 to: % 14.69/3.91 | (48) ~ (all_0_120_120 = e13) % 14.69/3.91 | % 14.69/3.91 | Equations (1080) can reduce 222 to: % 14.69/3.91 | (1083) ~ (all_0_123_123 = e13) % 14.69/3.91 | % 14.69/3.91 | Equations (1080) can reduce 171 to: % 14.69/3.91 | (361) ~ (e13 = e11) % 14.69/3.91 | % 14.69/3.91 | Equations (1080) can reduce 1075 to: % 14.69/3.91 | (97) ~ (e13 = e10) % 14.69/3.91 | % 14.69/3.91 | From (1080) and (270) follows: % 14.69/3.91 | (1086) h1(e13) = all_0_95_95 % 14.69/3.91 | % 14.69/3.91 +-Applying beta-rule and splitting (293), into two cases. % 14.69/3.91 |-Branch one: % 14.69/3.91 | (1087) all_0_116_116 = e13 & ( ~ (all_0_125_125 = e13) | all_0_123_123 = e11) % 14.69/3.91 | % 14.69/3.91 | Applying alpha-rule on (1087) yields: % 14.69/3.91 | (1088) all_0_116_116 = e13 % 14.69/3.91 | (1089) ~ (all_0_125_125 = e13) | all_0_123_123 = e11 % 14.69/3.91 | % 14.69/3.91 | Equations (1088) can reduce 1081 to: % 14.69/3.91 | (387) $false % 14.69/3.91 | % 14.69/3.91 |-The branch is then unsatisfiable % 14.69/3.91 |-Branch two: % 14.69/3.91 | (1091) all_0_121_121 = e12 & ( ~ (all_0_116_116 = e12) | all_0_117_117 = e13) % 14.69/3.91 | % 14.69/3.91 | Applying alpha-rule on (1091) yields: % 14.69/3.91 | (1092) all_0_121_121 = e12 % 14.69/3.91 | (1093) ~ (all_0_116_116 = e12) | all_0_117_117 = e13 % 14.69/3.91 | % 14.69/3.91 | Equations (1092) can reduce 208 to: % 14.69/3.91 | (1094) ~ (all_0_117_117 = e12) % 14.69/3.91 | % 14.69/3.91 | Equations (1092) can reduce 40 to: % 14.69/3.91 | (1095) ~ (all_0_120_120 = e12) % 14.69/3.91 | % 14.69/3.91 | Equations (1092) can reduce 219 to: % 14.69/3.91 | (1096) ~ (all_0_122_122 = e12) % 14.69/3.91 | % 14.69/3.91 | Simplifying 1096 yields: % 14.69/3.91 | (216) ~ (all_0_122_122 = e12) % 14.69/3.91 | % 14.69/3.91 | Equations (1092) can reduce 1073 to: % 14.69/3.91 | (130) ~ (e12 = e10) % 14.69/3.91 | % 14.69/3.91 | From (1092) and (299) follows: % 14.69/3.91 | (1099) h1(e12) = all_0_89_89 % 14.69/3.91 | % 14.69/3.91 | Instantiating formula (193) with e13, all_0_95_95, e23 and discharging atoms h1(e13) = all_0_95_95, h1(e13) = e23, yields: % 14.69/3.91 | (1100) all_0_95_95 = e23 % 14.69/3.91 | % 14.69/3.91 | Instantiating formula (193) with e12, all_0_89_89, e22 and discharging atoms h1(e12) = all_0_89_89, h1(e12) = e22, yields: % 14.69/3.91 | (1101) all_0_89_89 = e22 % 14.69/3.91 | % 14.69/3.91 | Instantiating formula (193) with e10, all_0_96_96, e20 and discharging atoms h1(e10) = all_0_96_96, h1(e10) = e20, yields: % 14.69/3.91 | (1102) all_0_96_96 = e20 % 14.69/3.91 | % 14.69/3.91 | From (1100) and (1086) follows: % 14.69/3.91 | (154) h1(e13) = e23 % 14.69/3.91 | % 14.69/3.91 | From (1101) and (1099) follows: % 14.69/3.91 | (146) h1(e12) = e22 % 14.69/3.91 | % 14.69/3.91 | From (1102) and (1076) follows: % 14.69/3.91 | (75) h1(e10) = e20 % 14.69/3.91 | % 14.69/3.91 +-Applying beta-rule and splitting (102), into two cases. % 14.69/3.91 |-Branch one: % 14.69/3.91 | (1106) all_0_118_118 = e13 % 14.69/3.91 | % 14.69/3.91 | Equations (1106) can reduce 163 to: % 14.69/3.91 | (1107) ~ (all_0_125_125 = e13) % 14.69/3.91 | % 14.69/3.91 | Simplifying 1107 yields: % 14.69/3.91 | (1108) ~ (all_0_125_125 = e13) % 14.69/3.91 | % 14.69/3.91 | From (1106) and (286) follows: % 14.69/3.91 | (1109) h1(e13) = all_0_86_86 % 14.69/3.91 | % 14.69/3.91 +-Applying beta-rule and splitting (280), into two cases. % 14.69/3.91 |-Branch one: % 14.69/3.91 | (1110) all_0_123_123 = e13 % 14.69/3.91 | % 14.69/3.91 | Equations (1110) can reduce 1083 to: % 14.69/3.91 | (387) $false % 14.69/3.91 | % 14.69/3.91 |-The branch is then unsatisfiable % 14.69/3.91 |-Branch two: % 14.69/3.91 | (1083) ~ (all_0_123_123 = e13) % 14.69/3.91 | (1113) all_0_124_124 = e13 | all_0_125_125 = e13 % 14.69/3.91 | % 14.69/3.91 +-Applying beta-rule and splitting (1113), into two cases. % 14.69/3.91 |-Branch one: % 14.69/3.91 | (1114) all_0_124_124 = e13 % 14.69/3.91 | % 14.69/3.91 | Equations (1114) can reduce 184 to: % 14.69/3.91 | (1115) ~ (all_0_117_117 = e13) % 14.69/3.91 | % 14.69/3.91 | Equations (1114) can reduce 247 to: % 14.69/3.91 | (1107) ~ (all_0_125_125 = e13) % 14.69/3.91 | % 14.69/3.91 | Simplifying 1107 yields: % 14.69/3.91 | (1108) ~ (all_0_125_125 = e13) % 14.69/3.91 | % 14.69/3.91 | Equations (1114) can reduce 242 to: % 14.69/3.91 | (1118) ~ (all_0_126_126 = e13) % 14.69/3.91 | % 14.69/3.91 | Simplifying 1118 yields: % 14.69/3.91 | (341) ~ (all_0_126_126 = e13) % 14.69/3.91 | % 14.69/3.91 | Equations (1114) can reduce 1074 to: % 14.69/3.91 | (97) ~ (e13 = e10) % 14.69/3.91 | % 14.69/3.91 | From (1114) and (251) follows: % 14.69/3.91 | (1121) h1(e13) = all_0_92_92 % 14.69/3.91 | % 14.69/3.91 +-Applying beta-rule and splitting (1093), into two cases. % 14.69/3.91 |-Branch one: % 14.69/3.91 | (1122) ~ (all_0_116_116 = e12) % 14.69/3.91 | % 14.69/3.91 +-Applying beta-rule and splitting (334), into two cases. % 14.69/3.91 |-Branch one: % 14.69/3.91 | (1123) all_0_116_116 = e12 % 14.69/3.91 | % 14.69/3.91 | Equations (1123) can reduce 1122 to: % 14.69/3.91 | (387) $false % 14.69/3.91 | % 14.69/3.91 |-The branch is then unsatisfiable % 14.69/3.91 |-Branch two: % 14.69/3.91 | (1122) ~ (all_0_116_116 = e12) % 14.69/3.91 | (1126) all_0_120_120 = e12 | all_0_123_123 = e12 % 14.69/3.91 | % 14.69/3.91 +-Applying beta-rule and splitting (254), into two cases. % 14.69/3.91 |-Branch one: % 14.69/3.91 | (1123) all_0_116_116 = e12 % 14.69/3.91 | % 14.69/3.91 | Equations (1123) can reduce 1122 to: % 14.69/3.91 | (387) $false % 14.69/3.91 | % 14.69/3.91 |-The branch is then unsatisfiable % 14.69/3.91 |-Branch two: % 14.69/3.91 | (1122) ~ (all_0_116_116 = e12) % 14.69/3.91 | (1130) all_0_117_117 = e12 | all_0_119_119 = e12 % 14.69/3.91 | % 14.69/3.91 +-Applying beta-rule and splitting (362), into two cases. % 14.69/3.91 |-Branch one: % 14.69/3.91 | (1131) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) | (all_0_118_118 = e13 & ~ (all_0_116_116 = e11)) | (all_0_120_120 = e12 & all_0_125_125 = e13 & ~ (all_0_123_123 = e11)) % 14.69/3.91 | % 14.69/3.92 +-Applying beta-rule and splitting (1131), into two cases. % 14.69/3.92 |-Branch one: % 14.69/3.92 | (1132) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) | (all_0_118_118 = e13 & ~ (all_0_116_116 = e11)) % 14.69/3.92 | % 14.69/3.92 +-Applying beta-rule and splitting (1132), into two cases. % 14.69/3.92 |-Branch one: % 14.69/3.92 | (1133) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) % 14.69/3.92 | % 14.69/3.92 +-Applying beta-rule and splitting (1133), into two cases. % 14.69/3.92 |-Branch one: % 14.69/3.92 | (1134) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) % 14.69/3.92 | % 14.69/3.92 +-Applying beta-rule and splitting (1134), into two cases. % 14.69/3.92 |-Branch one: % 14.69/3.92 | (1135) all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13) % 14.69/3.92 | % 14.69/3.92 | Applying alpha-rule on (1135) yields: % 14.69/3.92 | (1123) all_0_116_116 = e12 % 14.69/3.92 | (1137) all_0_124_124 = e11 % 14.69/3.92 | (1115) ~ (all_0_117_117 = e13) % 14.69/3.92 | % 14.69/3.92 | Combining equations (1137,1114) yields a new equation: % 14.69/3.92 | (1139) e13 = e11 % 14.69/3.92 | % 14.69/3.92 | Equations (1139) can reduce 361 to: % 14.69/3.92 | (387) $false % 14.69/3.92 | % 14.69/3.92 |-The branch is then unsatisfiable % 14.69/3.92 |-Branch two: % 14.69/3.92 | (1141) all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13) % 14.69/3.92 | % 14.69/3.92 | Applying alpha-rule on (1141) yields: % 14.69/3.92 | (1123) all_0_116_116 = e12 % 14.69/3.92 | (1071) all_0_128_128 = e10 % 14.69/3.92 | (1115) ~ (all_0_117_117 = e13) % 14.69/3.92 | % 14.69/3.92 | Equations (1123) can reduce 1122 to: % 14.69/3.92 | (387) $false % 14.69/3.92 | % 14.69/3.92 |-The branch is then unsatisfiable % 14.69/3.92 |-Branch two: % 14.69/3.92 | (1146) all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11) % 14.69/3.92 | % 14.69/3.92 | Applying alpha-rule on (1146) yields: % 14.69/3.92 | (1106) all_0_118_118 = e13 % 14.69/3.92 | (1148) all_0_121_121 = e11 % 14.69/3.92 | (1149) ~ (all_0_116_116 = e11) % 14.69/3.92 | % 14.69/3.92 | Combining equations (1148,1092) yields a new equation: % 14.69/3.92 | (1150) e12 = e11 % 14.69/3.92 | % 14.69/3.92 | Equations (1150) can reduce 70 to: % 14.69/3.92 | (387) $false % 14.69/3.92 | % 14.69/3.92 |-The branch is then unsatisfiable % 14.69/3.92 |-Branch two: % 14.69/3.92 | (1152) all_0_118_118 = e13 & ~ (all_0_116_116 = e11) % 14.69/3.92 | % 14.69/3.92 | Applying alpha-rule on (1152) yields: % 14.69/3.92 | (1106) all_0_118_118 = e13 % 14.69/3.92 | (1149) ~ (all_0_116_116 = e11) % 14.69/3.92 | % 14.69/3.92 +-Applying beta-rule and splitting (1130), into two cases. % 14.69/3.92 |-Branch one: % 14.69/3.92 | (1155) all_0_117_117 = e12 % 14.69/3.92 | % 14.69/3.92 | Equations (1155) can reduce 1094 to: % 14.69/3.92 | (387) $false % 14.69/3.92 | % 14.69/3.92 |-The branch is then unsatisfiable % 14.69/3.92 |-Branch two: % 14.69/3.92 | (1094) ~ (all_0_117_117 = e12) % 14.69/3.92 | (1158) all_0_119_119 = e12 % 14.69/3.92 | % 14.69/3.92 | From (1158) and (183) follows: % 14.69/3.92 | (1159) h1(e12) = all_0_87_87 % 14.69/3.92 | % 14.69/3.92 +-Applying beta-rule and splitting (1126), into two cases. % 14.69/3.92 |-Branch one: % 14.69/3.92 | (1160) all_0_120_120 = e12 % 14.69/3.92 | % 14.69/3.92 | Equations (1160) can reduce 1095 to: % 14.69/3.92 | (387) $false % 14.69/3.92 | % 14.69/3.92 |-The branch is then unsatisfiable % 14.69/3.92 |-Branch two: % 14.69/3.92 | (1095) ~ (all_0_120_120 = e12) % 14.69/3.92 | (1163) all_0_123_123 = e12 % 14.69/3.92 | % 14.69/3.92 | Equations (1163) can reduce 303 to: % 14.69/3.92 | (1095) ~ (all_0_120_120 = e12) % 14.69/3.92 | % 14.69/3.92 | Equations (1163) can reduce 201 to: % 14.69/3.92 | (1165) ~ (all_0_126_126 = e12) % 14.69/3.92 | % 14.69/3.92 | Simplifying 1165 yields: % 14.69/3.92 | (1166) ~ (all_0_126_126 = e12) % 14.69/3.92 | % 14.69/3.92 | From (1163) and (322) follows: % 14.69/3.92 | (1167) h1(e12) = all_0_91_91 % 14.69/3.92 | % 14.69/3.92 +-Applying beta-rule and splitting (174), into two cases. % 14.69/3.92 |-Branch one: % 14.69/3.92 | (1168) all_0_119_119 = e10 % 14.69/3.92 | % 14.69/3.92 | Combining equations (1168,1158) yields a new equation: % 14.69/3.92 | (1169) e12 = e10 % 14.69/3.92 | % 14.69/3.92 | Equations (1169) can reduce 130 to: % 14.69/3.92 | (387) $false % 14.69/3.92 | % 14.69/3.92 |-The branch is then unsatisfiable % 14.69/3.92 |-Branch two: % 14.69/3.92 | (1171) ~ (all_0_119_119 = e10) % 14.69/3.92 | (1172) all_0_126_126 = e10 % 14.69/3.92 | % 14.69/3.92 | Equations (1172) can reduce 341 to: % 14.69/3.92 | (1173) ~ (e13 = e10) % 14.69/3.92 | % 14.69/3.92 | Simplifying 1173 yields: % 14.69/3.92 | (97) ~ (e13 = e10) % 14.69/3.92 | % 14.69/3.92 | Equations (1172) can reduce 1166 to: % 14.69/3.92 | (1175) ~ (e12 = e10) % 14.69/3.92 | % 14.69/3.92 | Simplifying 1175 yields: % 14.69/3.92 | (130) ~ (e12 = e10) % 14.69/3.92 | % 14.69/3.92 | From (1172) and (67) follows: % 14.69/3.92 | (1177) h1(e10) = all_0_94_94 % 14.69/3.92 | % 14.69/3.92 +-Applying beta-rule and splitting (39), into two cases. % 14.69/3.92 |-Branch one: % 14.69/3.92 | (1178) all_0_116_116 = e11 % 14.69/3.92 | % 14.69/3.92 | Equations (1178) can reduce 1149 to: % 14.69/3.92 | (387) $false % 14.69/3.92 | % 14.69/3.92 |-The branch is then unsatisfiable % 14.69/3.92 |-Branch two: % 14.69/3.92 | (1149) ~ (all_0_116_116 = e11) % 14.69/3.92 | (1181) all_0_117_117 = e11 | all_0_118_118 = e11 % 14.69/3.92 | % 14.69/3.92 +-Applying beta-rule and splitting (124), into two cases. % 14.69/3.92 |-Branch one: % 14.69/3.92 | (1182) all_0_116_116 = e10 % 14.69/3.92 | % 14.69/3.92 | Equations (1182) can reduce 355 to: % 14.69/3.92 | (1183) ~ (all_0_117_117 = e10) % 14.69/3.92 | % 14.69/3.92 | Simplifying 1183 yields: % 14.69/3.92 | (1072) ~ (all_0_117_117 = e10) % 14.69/3.92 | % 14.69/3.92 | Equations (1182) can reduce 267 to: % 14.69/3.92 | (1185) ~ (all_0_120_120 = e10) % 14.69/3.92 | % 14.69/3.92 | Simplifying 1185 yields: % 14.69/3.92 | (1186) ~ (all_0_120_120 = e10) % 14.69/3.92 | % 14.69/3.92 | From (1182) and (333) follows: % 14.69/3.92 | (1187) h1(e10) = all_0_84_84 % 14.69/3.92 | % 14.69/3.92 +-Applying beta-rule and splitting (101), into two cases. % 14.69/3.92 |-Branch one: % 14.69/3.92 | (1188) all_0_120_120 = e10 % 14.69/3.92 | % 14.69/3.92 | Equations (1188) can reduce 1186 to: % 14.69/3.92 | (387) $false % 14.69/3.92 | % 14.69/3.92 |-The branch is then unsatisfiable % 14.69/3.92 |-Branch two: % 14.69/3.92 | (1186) ~ (all_0_120_120 = e10) % 14.69/3.92 | (1191) all_0_120_120 = e12 | all_0_120_120 = e11 % 14.69/3.92 | % 14.69/3.92 +-Applying beta-rule and splitting (1191), into two cases. % 14.69/3.92 |-Branch one: % 14.69/3.92 | (1192) all_0_120_120 = e11 % 14.69/3.92 | % 14.69/3.92 | Equations (1192) can reduce 159 to: % 14.69/3.92 | (1193) ~ (all_0_122_122 = e11) % 14.69/3.92 | % 14.69/3.92 | Simplifying 1193 yields: % 14.69/3.92 | (1194) ~ (all_0_122_122 = e11) % 14.69/3.92 | % 14.69/3.92 | Equations (1192) can reduce 48 to: % 14.69/3.92 | (1195) ~ (e13 = e11) % 14.69/3.92 | % 14.69/3.92 | Simplifying 1195 yields: % 14.69/3.92 | (361) ~ (e13 = e11) % 14.69/3.92 | % 14.69/3.92 | From (1192) and (122) follows: % 14.69/3.92 | (1197) h1(e11) = all_0_88_88 % 14.69/3.92 | % 14.69/3.92 +-Applying beta-rule and splitting (290), into two cases. % 14.69/3.92 |-Branch one: % 14.69/3.92 | (1198) all_0_122_122 = e10 % 14.69/3.92 | % 14.69/3.92 | Equations (1198) can reduce 1194 to: % 14.69/3.92 | (1199) ~ (e11 = e10) % 14.69/3.92 | % 14.69/3.92 | Simplifying 1199 yields: % 14.69/3.92 | (253) ~ (e11 = e10) % 14.69/3.92 | % 14.69/3.92 | From (1198) and (20) follows: % 14.69/3.92 | (1201) h1(e10) = all_0_90_90 % 14.69/3.92 | % 14.69/3.92 +-Applying beta-rule and splitting (317), into two cases. % 14.69/3.92 |-Branch one: % 14.69/3.92 | (1202) all_0_117_117 = e11 % 14.69/3.92 | % 14.69/3.92 | Equations (1202) can reduce 1115 to: % 14.69/3.92 | (1195) ~ (e13 = e11) % 14.69/3.92 | % 14.69/3.92 | Simplifying 1195 yields: % 14.69/3.92 | (361) ~ (e13 = e11) % 14.69/3.92 | % 14.69/3.92 | Equations (1202) can reduce 1072 to: % 14.69/3.92 | (253) ~ (e11 = e10) % 14.69/3.92 | % 14.69/3.92 | From (1202) and (326) follows: % 14.69/3.92 | (1206) h1(e11) = all_0_85_85 % 14.69/3.92 | % 14.69/3.92 +-Applying beta-rule and splitting (234), into two cases. % 14.69/3.92 |-Branch one: % 14.69/3.92 | (1207) all_0_118_118 = e11 % 14.69/3.92 | % 14.69/3.92 | Combining equations (1106,1207) yields a new equation: % 14.69/3.92 | (1208) e13 = e11 % 14.69/3.92 | % 14.69/3.92 | Simplifying 1208 yields: % 14.69/3.92 | (1139) e13 = e11 % 14.69/3.92 | % 14.69/3.92 | Equations (1139) can reduce 361 to: % 14.69/3.92 | (387) $false % 14.69/3.92 | % 14.69/3.92 |-The branch is then unsatisfiable % 14.69/3.92 |-Branch two: % 14.69/3.92 | (1211) ~ (all_0_118_118 = e11) % 14.69/3.92 | (1212) all_0_122_122 = e11 | all_0_125_125 = e11 % 14.69/3.92 | % 14.69/3.92 +-Applying beta-rule and splitting (1212), into two cases. % 14.69/3.92 |-Branch one: % 14.69/3.92 | (1213) all_0_122_122 = e11 % 14.69/3.92 | % 14.69/3.92 | Combining equations (1198,1213) yields a new equation: % 14.69/3.92 | (1214) e11 = e10 % 14.69/3.92 | % 14.69/3.92 | Equations (1214) can reduce 253 to: % 14.69/3.92 | (387) $false % 14.69/3.92 | % 14.69/3.92 |-The branch is then unsatisfiable % 14.69/3.92 |-Branch two: % 14.69/3.92 | (1194) ~ (all_0_122_122 = e11) % 14.69/3.92 | (1217) all_0_125_125 = e11 % 14.69/3.92 | % 14.69/3.92 | From (1217) and (323) follows: % 14.69/3.92 | (1218) h1(e11) = all_0_93_93 % 14.69/3.93 | % 14.69/3.93 | Instantiating formula (193) with e13, all_0_86_86, e23 and discharging atoms h1(e13) = all_0_86_86, h1(e13) = e23, yields: % 14.69/3.93 | (1219) all_0_86_86 = e23 % 14.69/3.93 | % 14.69/3.93 | Instantiating formula (193) with e13, all_0_92_92, all_0_86_86 and discharging atoms h1(e13) = all_0_86_86, h1(e13) = all_0_92_92, yields: % 14.69/3.93 | (1220) all_0_86_86 = all_0_92_92 % 14.69/3.93 | % 14.69/3.93 | Instantiating formula (193) with e12, all_0_87_87, e22 and discharging atoms h1(e12) = all_0_87_87, h1(e12) = e22, yields: % 14.69/3.93 | (1221) all_0_87_87 = e22 % 14.69/3.93 | % 14.69/3.93 | Instantiating formula (193) with e12, all_0_91_91, all_0_87_87 and discharging atoms h1(e12) = all_0_87_87, h1(e12) = all_0_91_91, yields: % 14.69/3.93 | (1222) all_0_87_87 = all_0_91_91 % 14.69/3.93 | % 14.69/3.93 | Instantiating formula (193) with e11, all_0_88_88, e21 and discharging atoms h1(e11) = all_0_88_88, h1(e11) = e21, yields: % 14.69/3.93 | (1223) all_0_88_88 = e21 % 14.69/3.93 | % 14.69/3.93 | Instantiating formula (193) with e11, all_0_88_88, all_0_85_85 and discharging atoms h1(e11) = all_0_85_85, h1(e11) = all_0_88_88, yields: % 14.69/3.93 | (1224) all_0_85_85 = all_0_88_88 % 14.69/3.93 | % 14.69/3.93 | Instantiating formula (193) with e11, all_0_93_93, all_0_85_85 and discharging atoms h1(e11) = all_0_85_85, h1(e11) = all_0_93_93, yields: % 14.69/3.93 | (1225) all_0_85_85 = all_0_93_93 % 14.69/3.93 | % 14.69/3.93 | Instantiating formula (193) with e10, all_0_90_90, e20 and discharging atoms h1(e10) = all_0_90_90, h1(e10) = e20, yields: % 14.69/3.93 | (1226) all_0_90_90 = e20 % 14.69/3.93 | % 14.69/3.93 | Instantiating formula (193) with e10, all_0_90_90, all_0_84_84 and discharging atoms h1(e10) = all_0_84_84, h1(e10) = all_0_90_90, yields: % 14.69/3.93 | (1227) all_0_84_84 = all_0_90_90 % 14.69/3.93 | % 14.69/3.93 | Instantiating formula (193) with e10, all_0_94_94, all_0_84_84 and discharging atoms h1(e10) = all_0_84_84, h1(e10) = all_0_94_94, yields: % 14.69/3.93 | (1228) all_0_84_84 = all_0_94_94 % 14.69/3.93 | % 14.69/3.93 | Combining equations (1227,1228) yields a new equation: % 14.69/3.93 | (1229) all_0_90_90 = all_0_94_94 % 14.69/3.93 | % 14.69/3.93 | Simplifying 1229 yields: % 14.69/3.93 | (1230) all_0_90_90 = all_0_94_94 % 14.69/3.93 | % 14.69/3.93 | Combining equations (1224,1225) yields a new equation: % 14.69/3.93 | (1231) all_0_88_88 = all_0_93_93 % 14.69/3.93 | % 14.69/3.93 | Simplifying 1231 yields: % 14.69/3.93 | (1232) all_0_88_88 = all_0_93_93 % 14.69/3.93 | % 14.69/3.93 | Combining equations (1219,1220) yields a new equation: % 14.69/3.93 | (1233) all_0_92_92 = e23 % 14.69/3.93 | % 14.69/3.93 | Combining equations (1221,1222) yields a new equation: % 14.69/3.93 | (1234) all_0_91_91 = e22 % 14.69/3.93 | % 14.69/3.93 | Combining equations (1223,1232) yields a new equation: % 14.69/3.93 | (1235) all_0_93_93 = e21 % 14.69/3.93 | % 14.69/3.93 | Combining equations (1230,1226) yields a new equation: % 14.69/3.93 | (1236) all_0_94_94 = e20 % 14.69/3.93 | % 14.69/3.93 | Simplifying 1236 yields: % 14.69/3.93 | (1237) all_0_94_94 = e20 % 14.69/3.93 | % 14.69/3.93 | Combining equations (1235,1232) yields a new equation: % 14.69/3.93 | (1223) all_0_88_88 = e21 % 14.69/3.93 | % 14.69/3.93 | Combining equations (1234,1222) yields a new equation: % 14.69/3.93 | (1221) all_0_87_87 = e22 % 14.69/3.93 | % 14.69/3.93 | Combining equations (1233,1220) yields a new equation: % 14.69/3.93 | (1219) all_0_86_86 = e23 % 14.69/3.93 | % 14.69/3.93 | Combining equations (1235,1225) yields a new equation: % 14.69/3.93 | (1241) all_0_85_85 = e21 % 14.69/3.93 | % 14.69/3.93 | Combining equations (1237,1228) yields a new equation: % 14.69/3.93 | (1242) all_0_84_84 = e20 % 14.69/3.93 | % 14.69/3.93 +-Applying beta-rule and splitting (138), into two cases. % 14.69/3.93 |-Branch one: % 14.69/3.93 | (1243) ~ (all_0_84_84 = all_0_103_103) % 14.69/3.93 | % 14.69/3.93 | Equations (1242,718) can reduce 1243 to: % 14.69/3.93 | (387) $false % 14.69/3.93 | % 14.69/3.93 |-The branch is then unsatisfiable % 14.69/3.93 |-Branch two: % 14.69/3.93 | (1245) all_0_84_84 = all_0_103_103 % 14.69/3.93 | (1246) ~ (all_0_85_85 = all_0_104_104) | ~ (all_0_86_86 = all_0_105_105) | ~ (all_0_87_87 = all_0_106_106) | ~ (all_0_88_88 = all_0_107_107) | ~ (all_0_89_89 = all_0_108_108) | ~ (all_0_90_90 = all_0_109_109) | ~ (all_0_91_91 = all_0_110_110) | ~ (all_0_92_92 = all_0_111_111) | ~ (all_0_93_93 = all_0_112_112) | ~ (all_0_94_94 = all_0_113_113) | ~ (all_0_95_95 = all_0_114_114) | ~ (all_0_96_96 = all_0_115_115) % 14.69/3.93 | % 14.69/3.93 +-Applying beta-rule and splitting (1246), into two cases. % 14.69/3.93 |-Branch one: % 14.69/3.93 | (1247) ~ (all_0_85_85 = all_0_104_104) % 14.69/3.93 | % 14.69/3.93 | Equations (1241,570) can reduce 1247 to: % 14.69/3.93 | (387) $false % 14.69/3.93 | % 14.69/3.93 |-The branch is then unsatisfiable % 14.69/3.93 |-Branch two: % 14.69/3.93 | (1249) all_0_85_85 = all_0_104_104 % 14.69/3.93 | (1250) ~ (all_0_86_86 = all_0_105_105) | ~ (all_0_87_87 = all_0_106_106) | ~ (all_0_88_88 = all_0_107_107) | ~ (all_0_89_89 = all_0_108_108) | ~ (all_0_90_90 = all_0_109_109) | ~ (all_0_91_91 = all_0_110_110) | ~ (all_0_92_92 = all_0_111_111) | ~ (all_0_93_93 = all_0_112_112) | ~ (all_0_94_94 = all_0_113_113) | ~ (all_0_95_95 = all_0_114_114) | ~ (all_0_96_96 = all_0_115_115) % 14.69/3.93 | % 14.69/3.93 +-Applying beta-rule and splitting (1250), into two cases. % 14.69/3.93 |-Branch one: % 14.69/3.93 | (1251) ~ (all_0_86_86 = all_0_105_105) % 14.69/3.93 | % 14.69/3.93 | Equations (1219,441) can reduce 1251 to: % 14.69/3.93 | (387) $false % 14.69/3.93 | % 14.69/3.93 |-The branch is then unsatisfiable % 14.69/3.93 |-Branch two: % 14.69/3.93 | (1253) all_0_86_86 = all_0_105_105 % 14.69/3.93 | (1254) ~ (all_0_87_87 = all_0_106_106) | ~ (all_0_88_88 = all_0_107_107) | ~ (all_0_89_89 = all_0_108_108) | ~ (all_0_90_90 = all_0_109_109) | ~ (all_0_91_91 = all_0_110_110) | ~ (all_0_92_92 = all_0_111_111) | ~ (all_0_93_93 = all_0_112_112) | ~ (all_0_94_94 = all_0_113_113) | ~ (all_0_95_95 = all_0_114_114) | ~ (all_0_96_96 = all_0_115_115) % 14.69/3.93 | % 14.69/3.93 +-Applying beta-rule and splitting (1254), into two cases. % 14.69/3.93 |-Branch one: % 14.69/3.93 | (1255) ~ (all_0_87_87 = all_0_106_106) % 14.69/3.93 | % 14.69/3.93 | Equations (1221,537) can reduce 1255 to: % 14.69/3.93 | (387) $false % 14.69/3.93 | % 14.69/3.93 |-The branch is then unsatisfiable % 14.69/3.93 |-Branch two: % 14.69/3.93 | (1257) all_0_87_87 = all_0_106_106 % 14.69/3.93 | (1258) ~ (all_0_88_88 = all_0_107_107) | ~ (all_0_89_89 = all_0_108_108) | ~ (all_0_90_90 = all_0_109_109) | ~ (all_0_91_91 = all_0_110_110) | ~ (all_0_92_92 = all_0_111_111) | ~ (all_0_93_93 = all_0_112_112) | ~ (all_0_94_94 = all_0_113_113) | ~ (all_0_95_95 = all_0_114_114) | ~ (all_0_96_96 = all_0_115_115) % 14.69/3.93 | % 14.69/3.93 +-Applying beta-rule and splitting (1258), into two cases. % 14.69/3.93 |-Branch one: % 14.69/3.93 | (1259) ~ (all_0_88_88 = all_0_107_107) % 14.69/3.93 | % 14.69/3.93 | Equations (1223,758) can reduce 1259 to: % 14.69/3.93 | (387) $false % 14.69/3.93 | % 14.69/3.93 |-The branch is then unsatisfiable % 14.69/3.93 |-Branch two: % 14.69/3.93 | (1261) all_0_88_88 = all_0_107_107 % 14.69/3.93 | (1262) ~ (all_0_89_89 = all_0_108_108) | ~ (all_0_90_90 = all_0_109_109) | ~ (all_0_91_91 = all_0_110_110) | ~ (all_0_92_92 = all_0_111_111) | ~ (all_0_93_93 = all_0_112_112) | ~ (all_0_94_94 = all_0_113_113) | ~ (all_0_95_95 = all_0_114_114) | ~ (all_0_96_96 = all_0_115_115) % 14.69/3.93 | % 14.69/3.93 +-Applying beta-rule and splitting (1262), into two cases. % 14.69/3.93 |-Branch one: % 14.69/3.93 | (1263) ~ (all_0_89_89 = all_0_108_108) % 14.69/3.93 | % 14.69/3.93 | Equations (1101,467) can reduce 1263 to: % 14.69/3.93 | (387) $false % 14.69/3.93 | % 14.69/3.93 |-The branch is then unsatisfiable % 14.69/3.93 |-Branch two: % 14.69/3.93 | (1265) all_0_89_89 = all_0_108_108 % 14.69/3.93 | (1266) ~ (all_0_90_90 = all_0_109_109) | ~ (all_0_91_91 = all_0_110_110) | ~ (all_0_92_92 = all_0_111_111) | ~ (all_0_93_93 = all_0_112_112) | ~ (all_0_94_94 = all_0_113_113) | ~ (all_0_95_95 = all_0_114_114) | ~ (all_0_96_96 = all_0_115_115) % 14.69/3.93 | % 14.69/3.93 +-Applying beta-rule and splitting (1266), into two cases. % 14.69/3.93 |-Branch one: % 14.69/3.93 | (1267) ~ (all_0_90_90 = all_0_109_109) % 14.69/3.93 | % 14.69/3.93 | Equations (1226,552) can reduce 1267 to: % 14.69/3.93 | (387) $false % 14.69/3.93 | % 14.69/3.93 |-The branch is then unsatisfiable % 14.69/3.93 |-Branch two: % 14.69/3.93 | (1269) all_0_90_90 = all_0_109_109 % 14.69/3.93 | (1270) ~ (all_0_91_91 = all_0_110_110) | ~ (all_0_92_92 = all_0_111_111) | ~ (all_0_93_93 = all_0_112_112) | ~ (all_0_94_94 = all_0_113_113) | ~ (all_0_95_95 = all_0_114_114) | ~ (all_0_96_96 = all_0_115_115) % 14.69/3.93 | % 14.69/3.93 +-Applying beta-rule and splitting (1270), into two cases. % 14.69/3.93 |-Branch one: % 14.69/3.93 | (1271) ~ (all_0_91_91 = all_0_110_110) % 14.69/3.93 | % 14.69/3.93 | Equations (1234,460) can reduce 1271 to: % 14.69/3.93 | (387) $false % 14.69/3.93 | % 14.69/3.93 |-The branch is then unsatisfiable % 14.69/3.93 |-Branch two: % 14.69/3.93 | (1273) all_0_91_91 = all_0_110_110 % 14.69/3.93 | (1274) ~ (all_0_92_92 = all_0_111_111) | ~ (all_0_93_93 = all_0_112_112) | ~ (all_0_94_94 = all_0_113_113) | ~ (all_0_95_95 = all_0_114_114) | ~ (all_0_96_96 = all_0_115_115) % 14.69/3.93 | % 14.69/3.93 +-Applying beta-rule and splitting (1274), into two cases. % 14.69/3.93 |-Branch one: % 14.69/3.93 | (1275) ~ (all_0_92_92 = all_0_111_111) % 14.69/3.93 | % 14.69/3.93 | Equations (1233,399) can reduce 1275 to: % 14.69/3.93 | (387) $false % 14.69/3.93 | % 14.69/3.93 |-The branch is then unsatisfiable % 14.69/3.93 |-Branch two: % 14.69/3.93 | (1277) all_0_92_92 = all_0_111_111 % 14.69/3.93 | (1278) ~ (all_0_93_93 = all_0_112_112) | ~ (all_0_94_94 = all_0_113_113) | ~ (all_0_95_95 = all_0_114_114) | ~ (all_0_96_96 = all_0_115_115) % 14.69/3.93 | % 14.69/3.93 +-Applying beta-rule and splitting (1278), into two cases. % 14.69/3.93 |-Branch one: % 14.69/3.93 | (1279) ~ (all_0_93_93 = all_0_112_112) % 14.69/3.93 | % 14.69/3.93 | Equations (1235,984) can reduce 1279 to: % 14.69/3.93 | (387) $false % 14.69/3.93 | % 14.69/3.93 |-The branch is then unsatisfiable % 14.69/3.93 |-Branch two: % 14.69/3.93 | (1281) all_0_93_93 = all_0_112_112 % 14.69/3.93 | (1282) ~ (all_0_94_94 = all_0_113_113) | ~ (all_0_95_95 = all_0_114_114) | ~ (all_0_96_96 = all_0_115_115) % 14.69/3.93 | % 14.69/3.93 +-Applying beta-rule and splitting (1282), into two cases. % 14.69/3.93 |-Branch one: % 14.69/3.93 | (1283) ~ (all_0_94_94 = all_0_113_113) % 14.69/3.93 | % 14.69/3.93 | Equations (1237,619) can reduce 1283 to: % 14.69/3.93 | (387) $false % 14.69/3.93 | % 14.69/3.93 |-The branch is then unsatisfiable % 14.69/3.93 |-Branch two: % 14.69/3.93 | (1285) all_0_94_94 = all_0_113_113 % 14.69/3.93 | (1286) ~ (all_0_95_95 = all_0_114_114) | ~ (all_0_96_96 = all_0_115_115) % 14.69/3.93 | % 14.69/3.93 +-Applying beta-rule and splitting (1286), into two cases. % 14.69/3.93 |-Branch one: % 14.69/3.93 | (1287) ~ (all_0_95_95 = all_0_114_114) % 14.69/3.93 | % 14.69/3.93 | Equations (1100,386) can reduce 1287 to: % 14.69/3.93 | (387) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (1289) all_0_95_95 = all_0_114_114 % 14.69/3.94 | (1290) ~ (all_0_96_96 = all_0_115_115) % 14.69/3.94 | % 14.69/3.94 | Equations (1102,432) can reduce 1290 to: % 14.69/3.94 | (387) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (1292) ~ (all_0_117_117 = e11) % 14.69/3.94 | (1293) all_0_121_121 = e11 | all_0_124_124 = e11 % 14.69/3.94 | % 14.69/3.94 +-Applying beta-rule and splitting (234), into two cases. % 14.69/3.94 |-Branch one: % 14.69/3.94 | (1207) all_0_118_118 = e11 % 14.69/3.94 | % 14.69/3.94 | Combining equations (1106,1207) yields a new equation: % 14.69/3.94 | (1208) e13 = e11 % 14.69/3.94 | % 14.69/3.94 | Simplifying 1208 yields: % 14.69/3.94 | (1139) e13 = e11 % 14.69/3.94 | % 14.69/3.94 | Equations (1139) can reduce 361 to: % 14.69/3.94 | (387) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (1211) ~ (all_0_118_118 = e11) % 14.69/3.94 | (1212) all_0_122_122 = e11 | all_0_125_125 = e11 % 14.69/3.94 | % 14.69/3.94 +-Applying beta-rule and splitting (1212), into two cases. % 14.69/3.94 |-Branch one: % 14.69/3.94 | (1213) all_0_122_122 = e11 % 14.69/3.94 | % 14.69/3.94 | Combining equations (1213,1198) yields a new equation: % 14.69/3.94 | (1301) e11 = e10 % 14.69/3.94 | % 14.69/3.94 | Simplifying 1301 yields: % 14.69/3.94 | (1214) e11 = e10 % 14.69/3.94 | % 14.69/3.94 | Equations (1214) can reduce 253 to: % 14.69/3.94 | (387) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (1194) ~ (all_0_122_122 = e11) % 14.69/3.94 | (1217) all_0_125_125 = e11 % 14.69/3.94 | % 14.69/3.94 | Equations (1217) can reduce 1108 to: % 14.69/3.94 | (1195) ~ (e13 = e11) % 14.69/3.94 | % 14.69/3.94 | Simplifying 1195 yields: % 14.69/3.94 | (361) ~ (e13 = e11) % 14.69/3.94 | % 14.69/3.94 +-Applying beta-rule and splitting (1181), into two cases. % 14.69/3.94 |-Branch one: % 14.69/3.94 | (1202) all_0_117_117 = e11 % 14.69/3.94 | % 14.69/3.94 | Equations (1202) can reduce 1292 to: % 14.69/3.94 | (387) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (1292) ~ (all_0_117_117 = e11) % 14.69/3.94 | (1207) all_0_118_118 = e11 % 14.69/3.94 | % 14.69/3.94 | Combining equations (1106,1207) yields a new equation: % 14.69/3.94 | (1208) e13 = e11 % 14.69/3.94 | % 14.69/3.94 | Simplifying 1208 yields: % 14.69/3.94 | (1139) e13 = e11 % 14.69/3.94 | % 14.69/3.94 | Equations (1139) can reduce 361 to: % 14.69/3.94 | (387) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (1315) ~ (all_0_122_122 = e10) % 14.69/3.94 | (1213) all_0_122_122 = e11 % 14.69/3.94 | % 14.69/3.94 | Equations (1213) can reduce 1194 to: % 14.69/3.94 | (387) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (1318) ~ (all_0_120_120 = e11) % 14.69/3.94 | (1160) all_0_120_120 = e12 % 14.69/3.94 | % 14.69/3.94 | Equations (1160) can reduce 1095 to: % 14.69/3.94 | (387) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (1321) ~ (all_0_116_116 = e10) % 14.69/3.94 | (1322) all_0_116_116 = e13 | all_0_116_116 = e12 | all_0_116_116 = e11 % 14.69/3.94 | % 14.69/3.94 +-Applying beta-rule and splitting (202), into two cases. % 14.69/3.94 |-Branch one: % 14.69/3.94 | (1182) all_0_116_116 = e10 % 14.69/3.94 | % 14.69/3.94 | Equations (1182) can reduce 1321 to: % 14.69/3.94 | (387) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (1321) ~ (all_0_116_116 = e10) % 14.69/3.94 | (1326) all_0_120_120 = e10 | all_0_123_123 = e10 | all_0_127_127 = e10 % 14.69/3.94 | % 14.69/3.94 +-Applying beta-rule and splitting (1181), into two cases. % 14.69/3.94 |-Branch one: % 14.69/3.94 | (1202) all_0_117_117 = e11 % 14.69/3.94 | % 14.69/3.94 | Equations (1202) can reduce 355 to: % 14.69/3.94 | (1149) ~ (all_0_116_116 = e11) % 14.69/3.94 | % 14.69/3.94 +-Applying beta-rule and splitting (1326), into two cases. % 14.69/3.94 |-Branch one: % 14.69/3.94 | (1188) all_0_120_120 = e10 % 14.69/3.94 | % 14.69/3.94 | Equations (1188) can reduce 159 to: % 14.69/3.94 | (1330) ~ (all_0_122_122 = e10) % 14.69/3.94 | % 14.69/3.94 | Simplifying 1330 yields: % 14.69/3.94 | (1315) ~ (all_0_122_122 = e10) % 14.69/3.94 | % 14.69/3.94 +-Applying beta-rule and splitting (290), into two cases. % 14.69/3.94 |-Branch one: % 14.69/3.94 | (1198) all_0_122_122 = e10 % 14.69/3.94 | % 14.69/3.94 | Equations (1198) can reduce 1315 to: % 14.69/3.94 | (387) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (1315) ~ (all_0_122_122 = e10) % 14.69/3.94 | (1213) all_0_122_122 = e11 % 14.69/3.94 | % 14.69/3.94 | Equations (1213) can reduce 216 to: % 14.69/3.94 | (1336) ~ (e12 = e11) % 14.69/3.94 | % 14.69/3.94 | Simplifying 1336 yields: % 14.69/3.94 | (70) ~ (e12 = e11) % 14.69/3.94 | % 14.69/3.94 | Equations (1213) can reduce 1315 to: % 14.69/3.94 | (253) ~ (e11 = e10) % 14.69/3.94 | % 14.69/3.94 +-Applying beta-rule and splitting (204), into two cases. % 14.69/3.94 |-Branch one: % 14.69/3.94 | (1178) all_0_116_116 = e11 % 14.69/3.94 | % 14.69/3.94 | Equations (1178) can reduce 1149 to: % 14.69/3.94 | (387) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (1149) ~ (all_0_116_116 = e11) % 14.69/3.94 | (1342) all_0_120_120 = e11 | all_0_123_123 = e11 % 14.69/3.94 | % 14.69/3.94 +-Applying beta-rule and splitting (1342), into two cases. % 14.69/3.94 |-Branch one: % 14.69/3.94 | (1192) all_0_120_120 = e11 % 14.69/3.94 | % 14.69/3.94 | Combining equations (1192,1188) yields a new equation: % 14.69/3.94 | (1301) e11 = e10 % 14.69/3.94 | % 14.69/3.94 | Simplifying 1301 yields: % 14.69/3.94 | (1214) e11 = e10 % 14.69/3.94 | % 14.69/3.94 | Equations (1214) can reduce 253 to: % 14.69/3.94 | (387) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (1318) ~ (all_0_120_120 = e11) % 14.69/3.94 | (1348) all_0_123_123 = e11 % 14.69/3.94 | % 14.69/3.94 | Combining equations (1163,1348) yields a new equation: % 14.69/3.94 | (1349) e12 = e11 % 14.69/3.94 | % 14.69/3.94 | Simplifying 1349 yields: % 14.69/3.94 | (1150) e12 = e11 % 14.69/3.94 | % 14.69/3.94 | Equations (1150) can reduce 70 to: % 14.69/3.94 | (387) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (1186) ~ (all_0_120_120 = e10) % 14.69/3.94 | (1353) all_0_123_123 = e10 | all_0_127_127 = e10 % 14.69/3.94 | % 14.69/3.94 +-Applying beta-rule and splitting (1353), into two cases. % 14.69/3.94 |-Branch one: % 14.69/3.94 | (1354) all_0_123_123 = e10 % 14.69/3.94 | % 14.69/3.94 | Combining equations (1163,1354) yields a new equation: % 14.69/3.94 | (1355) e12 = e10 % 14.69/3.94 | % 14.69/3.94 | Simplifying 1355 yields: % 14.69/3.94 | (1169) e12 = e10 % 14.69/3.94 | % 14.69/3.94 | Equations (1169) can reduce 130 to: % 14.69/3.94 | (387) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (1358) ~ (all_0_123_123 = e10) % 14.69/3.94 | (1077) all_0_127_127 = e10 % 14.69/3.94 | % 14.69/3.94 | Combining equations (1080,1077) yields a new equation: % 14.69/3.94 | (1360) e13 = e10 % 14.69/3.94 | % 14.69/3.94 | Simplifying 1360 yields: % 14.69/3.94 | (1361) e13 = e10 % 14.69/3.94 | % 14.69/3.94 | Equations (1361) can reduce 97 to: % 14.69/3.94 | (387) $false % 14.69/3.94 | % 14.69/3.94 |-The branch is then unsatisfiable % 14.69/3.94 |-Branch two: % 14.69/3.94 | (1292) ~ (all_0_117_117 = e11) % 14.69/3.94 | (1207) all_0_118_118 = e11 % 14.69/3.94 | % 14.69/3.94 | Combining equations (1106,1207) yields a new equation: % 14.69/3.95 | (1208) e13 = e11 % 14.69/3.95 | % 14.69/3.95 | Simplifying 1208 yields: % 14.69/3.95 | (1139) e13 = e11 % 14.69/3.95 | % 14.69/3.95 | Equations (1139) can reduce 361 to: % 14.69/3.95 | (387) $false % 14.69/3.95 | % 14.69/3.95 |-The branch is then unsatisfiable % 14.69/3.95 |-Branch two: % 14.69/3.95 | (1368) all_0_120_120 = e12 & all_0_125_125 = e13 & ~ (all_0_123_123 = e11) % 14.69/3.95 | % 14.69/3.95 | Applying alpha-rule on (1368) yields: % 14.69/3.95 | (1160) all_0_120_120 = e12 % 14.69/3.95 | (1370) all_0_125_125 = e13 % 14.69/3.95 | (1371) ~ (all_0_123_123 = e11) % 14.69/3.95 | % 14.69/3.95 | Equations (1370) can reduce 1108 to: % 14.69/3.95 | (387) $false % 14.69/3.95 | % 14.69/3.95 |-The branch is then unsatisfiable % 14.69/3.95 |-Branch two: % 14.69/3.95 | (1373) all_0_125_125 = e13 & all_0_127_127 = e10 & ~ (all_0_123_123 = e11) % 14.69/3.95 | % 14.69/3.95 | Applying alpha-rule on (1373) yields: % 14.69/3.95 | (1370) all_0_125_125 = e13 % 14.69/3.95 | (1077) all_0_127_127 = e10 % 14.69/3.95 | (1371) ~ (all_0_123_123 = e11) % 14.69/3.95 | % 14.69/3.95 | Combining equations (1077,1080) yields a new equation: % 14.69/3.95 | (1361) e13 = e10 % 14.69/3.95 | % 14.69/3.95 | Equations (1361) can reduce 97 to: % 14.69/3.95 | (387) $false % 14.69/3.95 | % 14.69/3.95 |-The branch is then unsatisfiable % 14.69/3.95 |-Branch two: % 14.69/3.95 | (1123) all_0_116_116 = e12 % 14.69/3.95 | (1380) all_0_117_117 = e13 % 14.69/3.95 | % 14.69/3.95 | Equations (1380) can reduce 1115 to: % 14.69/3.95 | (387) $false % 14.69/3.95 | % 14.69/3.95 |-The branch is then unsatisfiable % 14.69/3.95 |-Branch two: % 14.69/3.95 | (1382) ~ (all_0_124_124 = e13) % 14.69/3.95 | (1370) all_0_125_125 = e13 % 14.69/3.95 | % 14.69/3.95 | Equations (1370) can reduce 1108 to: % 14.69/3.95 | (387) $false % 14.69/3.95 | % 14.69/3.95 |-The branch is then unsatisfiable % 14.69/3.95 |-Branch two: % 14.69/3.95 | (1385) ~ (all_0_118_118 = e13) % 14.69/3.95 | (1370) all_0_125_125 = e13 % 14.69/3.95 | % 14.69/3.95 | Equations (1370) can reduce 247 to: % 14.69/3.95 | (1382) ~ (all_0_124_124 = e13) % 14.69/3.95 | % 14.69/3.95 +-Applying beta-rule and splitting (186), into two cases. % 14.69/3.95 |-Branch one: % 14.69/3.95 | (1380) all_0_117_117 = e13 % 14.69/3.95 | % 14.69/3.95 | Equations (1380) can reduce 111 to: % 14.69/3.95 | (1389) ~ (all_0_118_118 = e13) % 14.69/3.95 | % 14.69/3.95 | Simplifying 1389 yields: % 14.69/3.95 | (1385) ~ (all_0_118_118 = e13) % 14.69/3.95 | % 14.69/3.95 | Equations (1380) can reduce 1072 to: % 14.69/3.95 | (97) ~ (e13 = e10) % 14.69/3.95 | % 14.69/3.95 +-Applying beta-rule and splitting (362), into two cases. % 14.69/3.95 |-Branch one: % 14.69/3.95 | (1131) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) | (all_0_118_118 = e13 & ~ (all_0_116_116 = e11)) | (all_0_120_120 = e12 & all_0_125_125 = e13 & ~ (all_0_123_123 = e11)) % 14.69/3.95 | % 14.69/3.95 +-Applying beta-rule and splitting (1131), into two cases. % 14.69/3.95 |-Branch one: % 14.69/3.95 | (1132) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) | (all_0_118_118 = e13 & ~ (all_0_116_116 = e11)) % 14.69/3.95 | % 14.69/3.95 +-Applying beta-rule and splitting (1132), into two cases. % 14.69/3.95 |-Branch one: % 14.69/3.95 | (1133) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) % 14.69/3.95 | % 14.69/3.95 +-Applying beta-rule and splitting (1133), into two cases. % 14.69/3.95 |-Branch one: % 14.69/3.95 | (1134) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) % 14.69/3.95 | % 14.69/3.95 +-Applying beta-rule and splitting (1134), into two cases. % 14.69/3.95 |-Branch one: % 14.69/3.95 | (1135) all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13) % 14.69/3.95 | % 14.69/3.95 | Applying alpha-rule on (1135) yields: % 14.69/3.95 | (1123) all_0_116_116 = e12 % 14.69/3.95 | (1137) all_0_124_124 = e11 % 14.69/3.95 | (1115) ~ (all_0_117_117 = e13) % 14.69/3.95 | % 14.69/3.95 | Equations (1380) can reduce 1115 to: % 14.69/3.95 | (387) $false % 14.69/3.95 | % 14.69/3.95 |-The branch is then unsatisfiable % 14.69/3.95 |-Branch two: % 14.69/3.95 | (1141) all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13) % 14.69/3.95 | % 14.69/3.95 | Applying alpha-rule on (1141) yields: % 14.69/3.95 | (1123) all_0_116_116 = e12 % 14.69/3.95 | (1071) all_0_128_128 = e10 % 14.69/3.95 | (1115) ~ (all_0_117_117 = e13) % 14.69/3.95 | % 14.69/3.95 | Equations (1380) can reduce 1115 to: % 14.69/3.95 | (387) $false % 14.69/3.95 | % 14.69/3.95 |-The branch is then unsatisfiable % 14.69/3.95 |-Branch two: % 14.69/3.95 | (1146) all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11) % 14.69/3.95 | % 14.69/3.95 | Applying alpha-rule on (1146) yields: % 14.69/3.95 | (1106) all_0_118_118 = e13 % 14.69/3.95 | (1148) all_0_121_121 = e11 % 14.69/3.95 | (1149) ~ (all_0_116_116 = e11) % 14.69/3.95 | % 14.69/3.95 | Combining equations (1148,1092) yields a new equation: % 14.69/3.95 | (1150) e12 = e11 % 14.69/3.95 | % 14.69/3.95 | Equations (1150) can reduce 70 to: % 14.69/3.95 | (387) $false % 14.69/3.95 | % 14.69/3.95 |-The branch is then unsatisfiable % 14.69/3.95 |-Branch two: % 14.69/3.95 | (1152) all_0_118_118 = e13 & ~ (all_0_116_116 = e11) % 14.69/3.95 | % 14.69/3.95 | Applying alpha-rule on (1152) yields: % 14.69/3.95 | (1106) all_0_118_118 = e13 % 14.69/3.95 | (1149) ~ (all_0_116_116 = e11) % 14.69/3.95 | % 14.69/3.95 | Equations (1106) can reduce 1385 to: % 14.69/3.95 | (387) $false % 14.69/3.95 | % 14.69/3.95 |-The branch is then unsatisfiable % 14.69/3.95 |-Branch two: % 14.69/3.95 | (1368) all_0_120_120 = e12 & all_0_125_125 = e13 & ~ (all_0_123_123 = e11) % 14.69/3.95 | % 14.69/3.95 | Applying alpha-rule on (1368) yields: % 14.69/3.95 | (1160) all_0_120_120 = e12 % 14.69/3.95 | (1370) all_0_125_125 = e13 % 14.69/3.95 | (1371) ~ (all_0_123_123 = e11) % 14.69/3.95 | % 14.69/3.95 | Equations (1160) can reduce 1095 to: % 14.69/3.95 | (387) $false % 14.69/3.95 | % 14.69/3.95 |-The branch is then unsatisfiable % 14.69/3.95 |-Branch two: % 14.69/3.95 | (1373) all_0_125_125 = e13 & all_0_127_127 = e10 & ~ (all_0_123_123 = e11) % 14.69/3.95 | % 14.69/3.95 | Applying alpha-rule on (1373) yields: % 14.69/3.95 | (1370) all_0_125_125 = e13 % 14.69/3.95 | (1077) all_0_127_127 = e10 % 14.69/3.95 | (1371) ~ (all_0_123_123 = e11) % 14.69/3.95 | % 14.69/3.95 | Combining equations (1077,1080) yields a new equation: % 14.69/3.95 | (1361) e13 = e10 % 14.69/3.95 | % 14.69/3.95 | Equations (1361) can reduce 97 to: % 14.69/3.95 | (387) $false % 14.69/3.95 | % 14.69/3.95 |-The branch is then unsatisfiable % 14.69/3.95 |-Branch two: % 14.69/3.95 | (1115) ~ (all_0_117_117 = e13) % 14.69/3.95 | (1428) all_0_124_124 = e13 | all_0_128_128 = e13 % 14.69/3.95 | % 14.69/3.95 +-Applying beta-rule and splitting (1428), into two cases. % 14.69/3.95 |-Branch one: % 14.69/3.95 | (1114) all_0_124_124 = e13 % 14.69/3.95 | % 14.69/3.95 | Equations (1114) can reduce 1382 to: % 14.69/3.95 | (387) $false % 14.69/3.95 | % 14.69/3.95 |-The branch is then unsatisfiable % 14.69/3.95 |-Branch two: % 14.69/3.95 | (1382) ~ (all_0_124_124 = e13) % 14.69/3.95 | (1432) all_0_128_128 = e13 % 14.69/3.95 | % 14.69/3.95 | Combining equations (1071,1432) yields a new equation: % 14.69/3.95 | (1361) e13 = e10 % 14.69/3.95 | % 14.69/3.95 | Equations (1361) can reduce 97 to: % 14.69/3.95 | (387) $false % 14.69/3.95 | % 14.69/3.95 |-The branch is then unsatisfiable % 14.69/3.95 |-Branch two: % 14.69/3.95 | (1435) ~ (all_0_128_128 = e10) % 14.69/3.95 | (1432) all_0_128_128 = e13 % 14.69/3.96 | % 14.69/3.96 | Equations (1432) can reduce 324 to: % 14.69/3.96 | (1115) ~ (all_0_117_117 = e13) % 14.69/3.96 | % 14.69/3.96 | Equations (1432) can reduce 126 to: % 14.69/3.96 | (147) ~ (all_0_121_121 = e13) % 14.69/3.96 | % 14.69/3.96 | Equations (1432) can reduce 284 to: % 14.69/3.96 | (1382) ~ (all_0_124_124 = e13) % 14.69/3.96 | % 14.69/3.96 | Equations (1432) can reduce 68 to: % 14.69/3.96 | (1440) ~ (all_0_127_127 = e13) % 14.69/3.96 | % 14.69/3.96 | Equations (1432) can reduce 109 to: % 14.69/3.96 | (361) ~ (e13 = e11) % 14.69/3.96 | % 14.69/3.96 | From (1432) and (69) follows: % 14.69/3.96 | (1442) h4(e13) = all_0_26_26 % 14.69/3.96 | % 14.69/3.96 +-Applying beta-rule and splitting (156), into two cases. % 14.69/3.96 |-Branch one: % 14.69/3.96 | (1077) all_0_127_127 = e10 % 14.69/3.96 | % 14.69/3.96 | Equations (1077) can reduce 120 to: % 14.69/3.96 | (1321) ~ (all_0_116_116 = e10) % 14.69/3.96 | % 14.69/3.96 | Equations (1077) can reduce 165 to: % 14.69/3.96 | (1186) ~ (all_0_120_120 = e10) % 14.69/3.96 | % 14.69/3.96 | Equations (1077) can reduce 222 to: % 14.69/3.96 | (1358) ~ (all_0_123_123 = e10) % 14.69/3.96 | % 14.69/3.96 | Equations (1077) can reduce 25 to: % 14.69/3.96 | (1175) ~ (e12 = e10) % 14.69/3.96 | % 14.69/3.96 | Simplifying 1175 yields: % 14.69/3.96 | (130) ~ (e12 = e10) % 14.69/3.96 | % 14.69/3.96 | From (1077) and (157) follows: % 14.69/3.96 | (1449) h4(e10) = all_0_24_24 % 14.69/3.96 | % 14.69/3.96 | Instantiating formula (46) with e13, all_0_26_26, e21 and discharging atoms h4(e13) = all_0_26_26, h4(e13) = e21, yields: % 14.69/3.96 | (1450) all_0_26_26 = e21 % 14.69/3.96 | % 14.69/3.96 | Instantiating formula (46) with e10, all_0_24_24, e23 and discharging atoms h4(e10) = all_0_24_24, h4(e10) = e23, yields: % 14.69/3.96 | (1451) all_0_24_24 = e23 % 14.69/3.96 | % 14.69/3.96 | From (1450) and (1442) follows: % 14.69/3.96 | (1042) h4(e13) = e21 % 14.69/3.96 | % 14.69/3.96 | From (1451) and (1449) follows: % 14.69/3.96 | (350) h4(e10) = e23 % 14.69/3.96 | % 14.69/3.96 +-Applying beta-rule and splitting (174), into two cases. % 14.69/3.96 |-Branch one: % 14.69/3.96 | (1168) all_0_119_119 = e10 % 14.69/3.96 | % 14.69/3.96 | Equations (1168) can reduce 158 to: % 14.69/3.96 | (1321) ~ (all_0_116_116 = e10) % 14.69/3.96 | % 14.69/3.96 | Equations (1168) can reduce 305 to: % 14.69/3.96 | (1072) ~ (all_0_117_117 = e10) % 14.69/3.96 | % 14.69/3.96 | Equations (1168) can reduce 144 to: % 14.69/3.96 | (1457) ~ (all_0_118_118 = e10) % 14.69/3.96 | % 14.69/3.96 | Equations (1168) can reduce 112 to: % 14.69/3.96 | (1458) ~ (all_0_126_126 = e10) % 14.69/3.96 | % 14.69/3.96 | Simplifying 1458 yields: % 14.69/3.96 | (1459) ~ (all_0_126_126 = e10) % 14.69/3.96 | % 14.69/3.96 | Equations (1168) can reduce 239 to: % 14.69/3.96 | (1199) ~ (e11 = e10) % 14.69/3.96 | % 14.69/3.96 | Simplifying 1199 yields: % 14.69/3.96 | (253) ~ (e11 = e10) % 14.69/3.96 | % 14.69/3.96 +-Applying beta-rule and splitting (64), into two cases. % 14.69/3.96 |-Branch one: % 14.69/3.96 | (1158) all_0_119_119 = e12 % 14.69/3.96 | % 14.69/3.96 | Combining equations (1158,1168) yields a new equation: % 14.69/3.96 | (1355) e12 = e10 % 14.69/3.96 | % 14.69/3.96 | Simplifying 1355 yields: % 14.69/3.96 | (1169) e12 = e10 % 14.69/3.96 | % 14.69/3.96 | Equations (1169) can reduce 130 to: % 14.69/3.96 | (387) $false % 14.69/3.96 | % 14.69/3.96 |-The branch is then unsatisfiable % 14.69/3.96 |-Branch two: % 14.69/3.96 | (1466) ~ (all_0_119_119 = e12) % 14.69/3.96 | (1467) all_0_126_126 = e12 % 14.69/3.96 | % 14.69/3.96 | Equations (1467) can reduce 201 to: % 14.69/3.96 | (1468) ~ (all_0_123_123 = e12) % 14.69/3.96 | % 14.69/3.96 | Equations (1467) can reduce 229 to: % 14.69/3.96 | (250) ~ (all_0_125_125 = e12) % 14.69/3.96 | % 14.69/3.96 | Equations (1467) can reduce 212 to: % 14.69/3.96 | (70) ~ (e12 = e11) % 14.69/3.96 | % 14.69/3.96 | Equations (1467) can reduce 1459 to: % 14.69/3.96 | (130) ~ (e12 = e10) % 14.69/3.96 | % 14.69/3.96 +-Applying beta-rule and splitting (290), into two cases. % 14.69/3.96 |-Branch one: % 14.69/3.96 | (1198) all_0_122_122 = e10 % 14.69/3.96 | % 14.69/3.96 | Equations (1198) can reduce 248 to: % 14.69/3.96 | (1457) ~ (all_0_118_118 = e10) % 14.69/3.96 | % 14.69/3.96 | Equations (1198) can reduce 159 to: % 14.69/3.96 | (1186) ~ (all_0_120_120 = e10) % 14.69/3.96 | % 14.69/3.96 | Equations (1198) can reduce 219 to: % 14.69/3.96 | (1073) ~ (all_0_121_121 = e10) % 14.69/3.96 | % 14.69/3.96 | Equations (1198) can reduce 22 to: % 14.69/3.96 | (1173) ~ (e13 = e10) % 14.69/3.96 | % 14.69/3.96 | Simplifying 1173 yields: % 14.69/3.96 | (97) ~ (e13 = e10) % 14.69/3.96 | % 14.69/3.96 +-Applying beta-rule and splitting (363), into two cases. % 14.69/3.96 |-Branch one: % 14.69/3.96 | (1354) all_0_123_123 = e10 % 14.69/3.96 | % 14.69/3.96 | Equations (1354) can reduce 1358 to: % 14.69/3.96 | (387) $false % 14.69/3.96 | % 14.69/3.96 |-The branch is then unsatisfiable % 14.69/3.96 |-Branch two: % 14.69/3.96 | (1358) ~ (all_0_123_123 = e10) % 14.69/3.96 | (1481) all_0_124_124 = e10 | all_0_125_125 = e10 | all_0_126_126 = e10 % 14.69/3.96 | % 14.69/3.96 +-Applying beta-rule and splitting (71), into two cases. % 14.69/3.96 |-Branch one: % 14.69/3.96 | (1482) all_0_117_117 = e10 % 14.69/3.96 | % 14.69/3.96 | Equations (1482) can reduce 1072 to: % 14.69/3.96 | (387) $false % 14.69/3.96 | % 14.69/3.96 |-The branch is then unsatisfiable % 14.69/3.96 |-Branch two: % 14.69/3.96 | (1072) ~ (all_0_117_117 = e10) % 14.69/3.96 | (1485) all_0_121_121 = e10 | all_0_124_124 = e10 | all_0_128_128 = e10 % 14.69/3.96 | % 14.69/3.96 +-Applying beta-rule and splitting (1481), into two cases. % 14.69/3.96 |-Branch one: % 14.69/3.96 | (1486) all_0_124_124 = e10 % 14.69/3.96 | % 14.69/3.96 | Equations (1486) can reduce 116 to: % 14.69/3.96 | (1358) ~ (all_0_123_123 = e10) % 14.69/3.96 | % 14.69/3.96 +-Applying beta-rule and splitting (293), into two cases. % 14.69/3.96 |-Branch one: % 14.69/3.96 | (1087) all_0_116_116 = e13 & ( ~ (all_0_125_125 = e13) | all_0_123_123 = e11) % 14.69/3.96 | % 14.69/3.96 | Applying alpha-rule on (1087) yields: % 14.69/3.96 | (1088) all_0_116_116 = e13 % 14.69/3.96 | (1089) ~ (all_0_125_125 = e13) | all_0_123_123 = e11 % 14.69/3.96 | % 14.69/3.96 | Equations (1088) can reduce 178 to: % 14.69/3.96 | (1389) ~ (all_0_118_118 = e13) % 14.69/3.96 | % 14.69/3.96 | Simplifying 1389 yields: % 14.69/3.96 | (1385) ~ (all_0_118_118 = e13) % 14.69/3.96 | % 14.69/3.96 +-Applying beta-rule and splitting (102), into two cases. % 14.69/3.96 |-Branch one: % 14.69/3.96 | (1106) all_0_118_118 = e13 % 14.69/3.96 | % 14.69/3.96 | Equations (1106) can reduce 1385 to: % 14.69/3.96 | (387) $false % 14.69/3.96 | % 14.69/3.96 |-The branch is then unsatisfiable % 14.69/3.96 |-Branch two: % 14.69/3.96 | (1385) ~ (all_0_118_118 = e13) % 14.69/3.96 | (1370) all_0_125_125 = e13 % 14.69/3.96 | % 14.69/3.96 | Equations (1370) can reduce 19 to: % 14.69/3.96 | (1083) ~ (all_0_123_123 = e13) % 14.69/3.96 | % 14.69/3.96 | Equations (1370) can reduce 250 to: % 14.69/3.96 | (297) ~ (e13 = e12) % 14.69/3.96 | % 14.69/3.96 +-Applying beta-rule and splitting (234), into two cases. % 14.69/3.96 |-Branch one: % 14.69/3.96 | (1207) all_0_118_118 = e11 % 14.69/3.96 | % 14.69/3.96 +-Applying beta-rule and splitting (334), into two cases. % 14.69/3.96 |-Branch one: % 14.69/3.96 | (1123) all_0_116_116 = e12 % 14.69/3.96 | % 14.69/3.96 | Combining equations (1123,1088) yields a new equation: % 14.69/3.96 | (1501) e13 = e12 % 14.69/3.96 | % 14.69/3.96 | Equations (1501) can reduce 297 to: % 14.69/3.96 | (387) $false % 14.69/3.96 | % 14.69/3.96 |-The branch is then unsatisfiable % 14.69/3.96 |-Branch two: % 14.69/3.96 | (1122) ~ (all_0_116_116 = e12) % 14.69/3.96 | (1126) all_0_120_120 = e12 | all_0_123_123 = e12 % 14.69/3.96 | % 14.69/3.96 +-Applying beta-rule and splitting (1089), into two cases. % 14.69/3.96 |-Branch one: % 14.69/3.96 | (1108) ~ (all_0_125_125 = e13) % 14.69/3.96 | % 14.69/3.96 | Equations (1370) can reduce 1108 to: % 14.69/3.96 | (387) $false % 14.69/3.96 | % 14.69/3.96 |-The branch is then unsatisfiable % 14.69/3.96 |-Branch two: % 14.69/3.96 | (1370) all_0_125_125 = e13 % 14.69/3.96 | (1348) all_0_123_123 = e11 % 14.69/3.96 | % 14.69/3.96 | Equations (1348) can reduce 1083 to: % 14.69/3.96 | (1195) ~ (e13 = e11) % 14.69/3.96 | % 14.69/3.96 | Simplifying 1195 yields: % 14.69/3.96 | (361) ~ (e13 = e11) % 14.69/3.96 | % 14.69/3.96 | Equations (1348) can reduce 1468 to: % 14.69/3.96 | (1336) ~ (e12 = e11) % 14.69/3.96 | % 14.69/3.96 | Simplifying 1336 yields: % 14.69/3.96 | (70) ~ (e12 = e11) % 14.69/3.96 | % 14.69/3.96 | Equations (1348) can reduce 1358 to: % 14.69/3.96 | (253) ~ (e11 = e10) % 14.69/3.96 | % 14.69/3.96 +-Applying beta-rule and splitting (101), into two cases. % 14.69/3.96 |-Branch one: % 14.69/3.96 | (1188) all_0_120_120 = e10 % 14.69/3.96 | % 14.69/3.96 | Equations (1188) can reduce 1186 to: % 14.69/3.96 | (387) $false % 14.69/3.96 | % 14.69/3.96 |-The branch is then unsatisfiable % 14.69/3.96 |-Branch two: % 14.69/3.96 | (1186) ~ (all_0_120_120 = e10) % 14.69/3.96 | (1191) all_0_120_120 = e12 | all_0_120_120 = e11 % 14.69/3.96 | % 14.69/3.96 +-Applying beta-rule and splitting (1126), into two cases. % 14.69/3.96 |-Branch one: % 14.69/3.96 | (1160) all_0_120_120 = e12 % 14.69/3.96 | % 14.69/3.96 | Equations (1160) can reduce 1186 to: % 14.69/3.96 | (130) ~ (e12 = e10) % 14.69/3.96 | % 14.69/3.96 +-Applying beta-rule and splitting (362), into two cases. % 14.69/3.96 |-Branch one: % 14.69/3.96 | (1131) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) | (all_0_118_118 = e13 & ~ (all_0_116_116 = e11)) | (all_0_120_120 = e12 & all_0_125_125 = e13 & ~ (all_0_123_123 = e11)) % 14.69/3.96 | % 14.69/3.96 +-Applying beta-rule and splitting (1131), into two cases. % 14.69/3.96 |-Branch one: % 14.69/3.96 | (1132) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) | (all_0_118_118 = e13 & ~ (all_0_116_116 = e11)) % 14.69/3.97 | % 14.69/3.97 +-Applying beta-rule and splitting (1132), into two cases. % 14.69/3.97 |-Branch one: % 14.69/3.97 | (1133) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) % 14.69/3.97 | % 14.69/3.97 +-Applying beta-rule and splitting (1133), into two cases. % 14.69/3.97 |-Branch one: % 14.69/3.97 | (1134) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) % 14.69/3.97 | % 14.69/3.97 +-Applying beta-rule and splitting (1134), into two cases. % 14.69/3.97 |-Branch one: % 14.69/3.97 | (1135) all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13) % 14.69/3.97 | % 14.69/3.97 | Applying alpha-rule on (1135) yields: % 14.69/3.97 | (1123) all_0_116_116 = e12 % 14.69/3.97 | (1137) all_0_124_124 = e11 % 14.69/3.97 | (1115) ~ (all_0_117_117 = e13) % 14.69/3.97 | % 14.69/3.97 | Combining equations (1486,1137) yields a new equation: % 14.69/3.97 | (1214) e11 = e10 % 14.69/3.97 | % 14.69/3.97 | Equations (1214) can reduce 253 to: % 14.69/3.97 | (387) $false % 14.69/3.97 | % 14.69/3.97 |-The branch is then unsatisfiable % 14.69/3.97 |-Branch two: % 14.69/3.97 | (1141) all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13) % 14.69/3.97 | % 14.69/3.97 | Applying alpha-rule on (1141) yields: % 14.69/3.97 | (1123) all_0_116_116 = e12 % 14.69/3.97 | (1071) all_0_128_128 = e10 % 14.69/3.97 | (1115) ~ (all_0_117_117 = e13) % 14.69/3.97 | % 14.69/3.97 | Combining equations (1123,1088) yields a new equation: % 14.69/3.97 | (1501) e13 = e12 % 14.69/3.97 | % 14.69/3.97 | Combining equations (1071,1432) yields a new equation: % 14.69/3.97 | (1361) e13 = e10 % 14.69/3.97 | % 14.69/3.97 | Combining equations (1361,1501) yields a new equation: % 14.69/3.97 | (1169) e12 = e10 % 14.69/3.97 | % 14.69/3.97 | Equations (1169) can reduce 130 to: % 14.69/3.97 | (387) $false % 14.69/3.97 | % 14.69/3.97 |-The branch is then unsatisfiable % 14.69/3.97 |-Branch two: % 14.69/3.97 | (1146) all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11) % 14.69/3.97 | % 14.69/3.97 | Applying alpha-rule on (1146) yields: % 14.69/3.97 | (1106) all_0_118_118 = e13 % 14.69/3.97 | (1148) all_0_121_121 = e11 % 14.69/3.97 | (1149) ~ (all_0_116_116 = e11) % 14.69/3.97 | % 14.69/3.97 | Combining equations (1106,1207) yields a new equation: % 14.69/3.97 | (1208) e13 = e11 % 14.69/3.97 | % 14.69/3.97 | Simplifying 1208 yields: % 14.69/3.97 | (1139) e13 = e11 % 14.69/3.97 | % 14.69/3.97 | Equations (1139) can reduce 361 to: % 14.69/3.97 | (387) $false % 14.69/3.97 | % 14.69/3.97 |-The branch is then unsatisfiable % 14.69/3.97 |-Branch two: % 14.69/3.97 | (1152) all_0_118_118 = e13 & ~ (all_0_116_116 = e11) % 14.69/3.97 | % 14.69/3.97 | Applying alpha-rule on (1152) yields: % 14.69/3.97 | (1106) all_0_118_118 = e13 % 14.69/3.97 | (1149) ~ (all_0_116_116 = e11) % 14.69/3.97 | % 14.69/3.97 | Combining equations (1106,1207) yields a new equation: % 14.69/3.97 | (1208) e13 = e11 % 14.69/3.97 | % 14.69/3.97 | Simplifying 1208 yields: % 14.69/3.97 | (1139) e13 = e11 % 14.69/3.97 | % 14.69/3.97 | Equations (1139) can reduce 361 to: % 14.69/3.97 | (387) $false % 14.69/3.97 | % 14.69/3.97 |-The branch is then unsatisfiable % 14.69/3.97 |-Branch two: % 14.69/3.97 | (1368) all_0_120_120 = e12 & all_0_125_125 = e13 & ~ (all_0_123_123 = e11) % 14.69/3.97 | % 14.69/3.97 | Applying alpha-rule on (1368) yields: % 14.69/3.97 | (1160) all_0_120_120 = e12 % 14.69/3.97 | (1370) all_0_125_125 = e13 % 14.69/3.97 | (1371) ~ (all_0_123_123 = e11) % 14.69/3.97 | % 14.69/3.97 | Equations (1348) can reduce 1371 to: % 14.69/3.97 | (387) $false % 14.69/3.97 | % 14.69/3.97 |-The branch is then unsatisfiable % 14.69/3.97 |-Branch two: % 14.69/3.97 | (1373) all_0_125_125 = e13 & all_0_127_127 = e10 & ~ (all_0_123_123 = e11) % 14.69/3.97 | % 14.69/3.97 | Applying alpha-rule on (1373) yields: % 14.69/3.97 | (1370) all_0_125_125 = e13 % 14.69/3.97 | (1077) all_0_127_127 = e10 % 14.69/3.97 | (1371) ~ (all_0_123_123 = e11) % 14.69/3.97 | % 14.69/3.97 | Equations (1348) can reduce 1371 to: % 14.69/3.97 | (387) $false % 14.69/3.97 | % 14.69/3.97 |-The branch is then unsatisfiable % 14.69/3.97 |-Branch two: % 14.69/3.97 | (1095) ~ (all_0_120_120 = e12) % 14.69/3.97 | (1163) all_0_123_123 = e12 % 14.69/3.97 | % 14.69/3.97 | Combining equations (1348,1163) yields a new equation: % 14.69/3.97 | (1150) e12 = e11 % 14.69/3.97 | % 14.69/3.97 | Equations (1150) can reduce 70 to: % 14.69/3.97 | (387) $false % 14.69/3.97 | % 14.69/3.97 |-The branch is then unsatisfiable % 14.69/3.97 |-Branch two: % 14.69/3.97 | (1211) ~ (all_0_118_118 = e11) % 14.69/3.97 | (1212) all_0_122_122 = e11 | all_0_125_125 = e11 % 14.69/3.97 | % 14.69/3.97 +-Applying beta-rule and splitting (1212), into two cases. % 14.69/3.97 |-Branch one: % 14.69/3.97 | (1213) all_0_122_122 = e11 % 14.69/3.97 | % 14.69/3.97 | Combining equations (1198,1213) yields a new equation: % 14.69/3.97 | (1214) e11 = e10 % 14.69/3.97 | % 14.69/3.97 | Equations (1214) can reduce 253 to: % 14.69/3.97 | (387) $false % 14.69/3.97 | % 14.69/3.97 |-The branch is then unsatisfiable % 14.69/3.97 |-Branch two: % 14.69/3.97 | (1194) ~ (all_0_122_122 = e11) % 14.69/3.97 | (1217) all_0_125_125 = e11 % 14.69/3.97 | % 14.69/3.97 | Combining equations (1217,1370) yields a new equation: % 14.69/3.97 | (1139) e13 = e11 % 14.69/3.97 | % 14.69/3.97 | Equations (1139) can reduce 361 to: % 14.69/3.97 | (387) $false % 14.69/3.97 | % 14.69/3.97 |-The branch is then unsatisfiable % 14.69/3.97 |-Branch two: % 14.69/3.97 | (1091) all_0_121_121 = e12 & ( ~ (all_0_116_116 = e12) | all_0_117_117 = e13) % 14.69/3.97 | % 14.69/3.97 | Applying alpha-rule on (1091) yields: % 14.69/3.97 | (1092) all_0_121_121 = e12 % 14.69/3.97 | (1093) ~ (all_0_116_116 = e12) | all_0_117_117 = e13 % 14.69/3.97 | % 14.69/3.97 | Equations (1092) can reduce 40 to: % 14.69/3.97 | (1095) ~ (all_0_120_120 = e12) % 14.69/3.97 | % 14.69/3.97 | Equations (1092) can reduce 147 to: % 14.69/3.97 | (1578) ~ (e13 = e12) % 14.69/3.97 | % 14.69/3.97 | Simplifying 1578 yields: % 14.69/3.97 | (297) ~ (e13 = e12) % 14.69/3.97 | % 14.69/3.97 +-Applying beta-rule and splitting (317), into two cases. % 14.69/3.97 |-Branch one: % 14.69/3.97 | (1202) all_0_117_117 = e11 % 14.69/3.97 | % 14.69/3.97 | Equations (1202) can reduce 111 to: % 14.69/3.97 | (1581) ~ (all_0_118_118 = e11) % 14.69/3.97 | % 14.69/3.97 | Simplifying 1581 yields: % 14.69/3.97 | (1211) ~ (all_0_118_118 = e11) % 14.69/3.97 | % 14.69/3.97 | Equations (1202) can reduce 1115 to: % 14.69/3.97 | (1195) ~ (e13 = e11) % 14.69/3.97 | % 14.69/3.97 | Simplifying 1195 yields: % 14.69/3.97 | (361) ~ (e13 = e11) % 14.69/3.97 | % 14.69/3.97 +-Applying beta-rule and splitting (334), into two cases. % 14.69/3.97 |-Branch one: % 14.69/3.97 | (1123) all_0_116_116 = e12 % 14.69/3.97 | % 14.69/3.97 | Equations (1123) can reduce 267 to: % 14.69/3.97 | (1586) ~ (all_0_120_120 = e12) % 14.69/3.97 | % 14.69/3.97 | Simplifying 1586 yields: % 14.69/3.97 | (1095) ~ (all_0_120_120 = e12) % 14.69/3.97 | % 14.69/3.97 +-Applying beta-rule and splitting (338), into two cases. % 14.69/3.97 |-Branch one: % 14.69/3.97 | (1088) all_0_116_116 = e13 % 14.69/3.97 | % 14.69/3.97 | Combining equations (1088,1123) yields a new equation: % 14.69/3.97 | (1589) e13 = e12 % 14.69/3.97 | % 14.69/3.97 | Simplifying 1589 yields: % 14.69/3.97 | (1501) e13 = e12 % 14.69/3.97 | % 14.69/3.97 | Equations (1501) can reduce 297 to: % 14.69/3.97 | (387) $false % 14.69/3.97 | % 14.69/3.97 |-The branch is then unsatisfiable % 14.69/3.97 |-Branch two: % 14.69/3.97 | (1081) ~ (all_0_116_116 = e13) % 14.69/3.97 | (1593) all_0_117_117 = e13 | all_0_118_118 = e13 % 14.69/3.97 | % 14.69/3.97 +-Applying beta-rule and splitting (1593), into two cases. % 14.69/3.97 |-Branch one: % 14.69/3.97 | (1380) all_0_117_117 = e13 % 14.69/3.97 | % 14.69/3.97 | Combining equations (1380,1202) yields a new equation: % 14.69/3.97 | (1208) e13 = e11 % 14.69/3.97 | % 14.69/3.97 | Simplifying 1208 yields: % 14.69/3.97 | (1139) e13 = e11 % 14.69/3.97 | % 14.69/3.97 | Equations (1139) can reduce 361 to: % 14.69/3.97 | (387) $false % 14.69/3.97 | % 14.69/3.97 |-The branch is then unsatisfiable % 14.69/3.97 |-Branch two: % 14.69/3.97 | (1115) ~ (all_0_117_117 = e13) % 14.69/3.97 | (1106) all_0_118_118 = e13 % 14.69/3.97 | % 14.69/3.97 | Equations (1106) can reduce 163 to: % 14.69/3.97 | (1107) ~ (all_0_125_125 = e13) % 14.69/3.97 | % 14.69/3.97 | Simplifying 1107 yields: % 14.69/3.97 | (1108) ~ (all_0_125_125 = e13) % 14.69/3.97 | % 14.69/3.97 | Equations (1106) can reduce 1211 to: % 14.69/3.97 | (361) ~ (e13 = e11) % 14.69/3.97 | % 14.69/3.97 | Equations (1106) can reduce 1457 to: % 14.69/3.97 | (97) ~ (e13 = e10) % 14.69/3.97 | % 14.69/3.97 +-Applying beta-rule and splitting (101), into two cases. % 14.69/3.97 |-Branch one: % 14.69/3.97 | (1188) all_0_120_120 = e10 % 14.69/3.97 | % 14.69/3.97 | Equations (1188) can reduce 1186 to: % 14.69/3.97 | (387) $false % 14.69/3.97 | % 14.69/3.97 |-The branch is then unsatisfiable % 14.69/3.97 |-Branch two: % 14.69/3.97 | (1186) ~ (all_0_120_120 = e10) % 14.69/3.97 | (1191) all_0_120_120 = e12 | all_0_120_120 = e11 % 14.69/3.97 | % 14.69/3.97 +-Applying beta-rule and splitting (280), into two cases. % 14.69/3.97 |-Branch one: % 14.69/3.97 | (1110) all_0_123_123 = e13 % 14.69/3.97 | % 14.69/3.97 | Equations (1110) can reduce 19 to: % 14.69/3.97 | (1107) ~ (all_0_125_125 = e13) % 14.69/3.97 | % 14.69/3.97 | Simplifying 1107 yields: % 14.69/3.97 | (1108) ~ (all_0_125_125 = e13) % 14.69/3.97 | % 14.69/3.97 +-Applying beta-rule and splitting (234), into two cases. % 14.69/3.97 |-Branch one: % 14.69/3.97 | (1207) all_0_118_118 = e11 % 14.69/3.97 | % 14.69/3.97 | Combining equations (1106,1207) yields a new equation: % 14.69/3.97 | (1208) e13 = e11 % 14.69/3.97 | % 14.69/3.97 | Simplifying 1208 yields: % 14.69/3.97 | (1139) e13 = e11 % 14.69/3.97 | % 14.69/3.97 | Equations (1139) can reduce 361 to: % 14.69/3.97 | (387) $false % 14.69/3.97 | % 14.69/3.97 |-The branch is then unsatisfiable % 14.69/3.97 |-Branch two: % 14.69/3.97 | (1211) ~ (all_0_118_118 = e11) % 14.69/3.97 | (1212) all_0_122_122 = e11 | all_0_125_125 = e11 % 14.69/3.97 | % 14.69/3.97 +-Applying beta-rule and splitting (1191), into two cases. % 14.69/3.97 |-Branch one: % 14.69/3.98 | (1192) all_0_120_120 = e11 % 14.69/3.98 | % 14.69/3.98 | Equations (1192) can reduce 1186 to: % 14.69/3.98 | (253) ~ (e11 = e10) % 14.69/3.98 | % 14.69/3.98 +-Applying beta-rule and splitting (1212), into two cases. % 14.69/3.98 |-Branch one: % 14.69/3.98 | (1213) all_0_122_122 = e11 % 14.69/3.98 | % 14.69/3.98 | Combining equations (1198,1213) yields a new equation: % 14.69/3.98 | (1214) e11 = e10 % 14.69/3.98 | % 14.69/3.98 | Equations (1214) can reduce 253 to: % 14.69/3.98 | (387) $false % 14.69/3.98 | % 14.69/3.98 |-The branch is then unsatisfiable % 14.69/3.98 |-Branch two: % 14.69/3.98 | (1194) ~ (all_0_122_122 = e11) % 14.69/3.98 | (1217) all_0_125_125 = e11 % 14.69/3.98 | % 14.69/3.98 | Equations (1217) can reduce 1108 to: % 14.69/3.98 | (1195) ~ (e13 = e11) % 14.69/3.98 | % 14.69/3.98 | Simplifying 1195 yields: % 14.69/3.98 | (361) ~ (e13 = e11) % 14.69/3.98 | % 14.69/3.98 +-Applying beta-rule and splitting (1093), into two cases. % 14.69/3.98 |-Branch one: % 14.69/3.98 | (1122) ~ (all_0_116_116 = e12) % 14.69/3.98 | % 14.69/3.98 | Equations (1123) can reduce 1122 to: % 14.69/3.98 | (387) $false % 14.69/3.98 | % 14.69/3.98 |-The branch is then unsatisfiable % 14.69/3.98 |-Branch two: % 14.69/3.98 | (1123) all_0_116_116 = e12 % 14.69/3.98 | (1380) all_0_117_117 = e13 % 14.69/3.98 | % 14.69/3.98 | Combining equations (1380,1202) yields a new equation: % 14.69/3.98 | (1208) e13 = e11 % 14.69/3.98 | % 14.69/3.98 | Simplifying 1208 yields: % 14.69/3.98 | (1139) e13 = e11 % 14.69/3.98 | % 14.69/3.98 | Equations (1139) can reduce 361 to: % 14.69/3.98 | (387) $false % 14.69/3.98 | % 14.69/3.98 |-The branch is then unsatisfiable % 14.69/3.98 |-Branch two: % 14.69/3.98 | (1318) ~ (all_0_120_120 = e11) % 14.69/3.98 | (1160) all_0_120_120 = e12 % 14.69/3.98 | % 14.69/3.98 | Equations (1160) can reduce 1095 to: % 14.69/3.98 | (387) $false % 14.69/3.98 | % 14.69/3.98 |-The branch is then unsatisfiable % 14.69/3.98 |-Branch two: % 14.69/3.98 | (1083) ~ (all_0_123_123 = e13) % 14.69/3.98 | (1113) all_0_124_124 = e13 | all_0_125_125 = e13 % 14.69/3.98 | % 14.69/3.98 +-Applying beta-rule and splitting (1113), into two cases. % 14.69/3.98 |-Branch one: % 14.69/3.98 | (1114) all_0_124_124 = e13 % 14.69/3.98 | % 14.69/3.98 | Combining equations (1114,1486) yields a new equation: % 14.69/3.98 | (1360) e13 = e10 % 14.69/3.98 | % 14.69/3.98 | Simplifying 1360 yields: % 14.69/3.98 | (1361) e13 = e10 % 14.69/3.98 | % 14.69/3.98 | Equations (1361) can reduce 97 to: % 15.04/3.98 | (387) $false % 15.04/3.98 | % 15.04/3.98 |-The branch is then unsatisfiable % 15.04/3.98 |-Branch two: % 15.04/3.98 | (1382) ~ (all_0_124_124 = e13) % 15.04/3.98 | (1370) all_0_125_125 = e13 % 15.04/3.98 | % 15.04/3.98 | Equations (1370) can reduce 1108 to: % 15.04/3.98 | (387) $false % 15.04/3.98 | % 15.04/3.98 |-The branch is then unsatisfiable % 15.04/3.98 |-Branch two: % 15.04/3.98 | (1122) ~ (all_0_116_116 = e12) % 15.04/3.98 | (1126) all_0_120_120 = e12 | all_0_123_123 = e12 % 15.04/3.98 | % 15.04/3.98 +-Applying beta-rule and splitting (1126), into two cases. % 15.04/3.98 |-Branch one: % 15.04/3.98 | (1160) all_0_120_120 = e12 % 15.04/3.98 | % 15.04/3.98 | Equations (1160) can reduce 1095 to: % 15.04/3.98 | (387) $false % 15.04/3.98 | % 15.04/3.98 |-The branch is then unsatisfiable % 15.04/3.98 |-Branch two: % 15.04/3.98 | (1095) ~ (all_0_120_120 = e12) % 15.04/3.98 | (1163) all_0_123_123 = e12 % 15.04/3.98 | % 15.04/3.98 | Equations (1163) can reduce 1468 to: % 15.04/3.98 | (387) $false % 15.04/3.98 | % 15.04/3.98 |-The branch is then unsatisfiable % 15.04/3.98 |-Branch two: % 15.04/3.98 | (1292) ~ (all_0_117_117 = e11) % 15.04/3.98 | (1293) all_0_121_121 = e11 | all_0_124_124 = e11 % 15.04/3.98 | % 15.04/3.98 +-Applying beta-rule and splitting (1293), into two cases. % 15.04/3.98 |-Branch one: % 15.04/3.98 | (1148) all_0_121_121 = e11 % 15.04/3.98 | % 15.04/3.98 | Combining equations (1148,1092) yields a new equation: % 15.04/3.98 | (1150) e12 = e11 % 15.04/3.98 | % 15.04/3.98 | Equations (1150) can reduce 70 to: % 15.04/3.98 | (387) $false % 15.04/3.98 | % 15.04/3.98 |-The branch is then unsatisfiable % 15.04/3.98 |-Branch two: % 15.04/3.98 | (1657) ~ (all_0_121_121 = e11) % 15.04/3.98 | (1137) all_0_124_124 = e11 % 15.04/3.98 | % 15.04/3.98 | Combining equations (1486,1137) yields a new equation: % 15.04/3.98 | (1214) e11 = e10 % 15.04/3.98 | % 15.04/3.98 | Equations (1214) can reduce 253 to: % 15.04/3.98 | (387) $false % 15.04/3.98 | % 15.04/3.98 |-The branch is then unsatisfiable % 15.04/3.98 |-Branch two: % 15.04/3.98 | (1074) ~ (all_0_124_124 = e10) % 15.04/3.98 | (1662) all_0_125_125 = e10 | all_0_126_126 = e10 % 15.04/3.98 | % 15.04/3.98 +-Applying beta-rule and splitting (1485), into two cases. % 15.04/3.98 |-Branch one: % 15.04/3.98 | (1663) all_0_121_121 = e10 % 15.04/3.98 | % 15.04/3.98 | Equations (1663) can reduce 1073 to: % 15.04/3.98 | (387) $false % 15.04/3.98 | % 15.04/3.98 |-The branch is then unsatisfiable % 15.04/3.98 |-Branch two: % 15.04/3.98 | (1073) ~ (all_0_121_121 = e10) % 15.04/3.98 | (1666) all_0_124_124 = e10 | all_0_128_128 = e10 % 15.04/3.98 | % 15.04/3.98 +-Applying beta-rule and splitting (1666), into two cases. % 15.04/3.98 |-Branch one: % 15.04/3.98 | (1486) all_0_124_124 = e10 % 15.04/3.98 | % 15.04/3.98 | Equations (1486) can reduce 1074 to: % 15.04/3.98 | (387) $false % 15.04/3.98 | % 15.04/3.98 |-The branch is then unsatisfiable % 15.04/3.98 |-Branch two: % 15.04/3.98 | (1074) ~ (all_0_124_124 = e10) % 15.04/3.98 | (1071) all_0_128_128 = e10 % 15.04/3.98 | % 15.04/3.98 | Combining equations (1071,1432) yields a new equation: % 15.04/3.98 | (1361) e13 = e10 % 15.04/3.98 | % 15.04/3.98 | Equations (1361) can reduce 97 to: % 15.04/3.98 | (387) $false % 15.04/3.98 | % 15.04/3.98 |-The branch is then unsatisfiable % 15.04/3.98 |-Branch two: % 15.04/3.98 | (1315) ~ (all_0_122_122 = e10) % 15.04/3.98 | (1213) all_0_122_122 = e11 % 15.04/3.98 | % 15.04/3.98 | Equations (1213) can reduce 219 to: % 15.04/3.98 | (1657) ~ (all_0_121_121 = e11) % 15.04/3.98 | % 15.04/3.98 | Equations (1213) can reduce 1315 to: % 15.04/3.98 | (253) ~ (e11 = e10) % 15.04/3.98 | % 15.04/3.98 +-Applying beta-rule and splitting (352), into two cases. % 15.04/3.98 |-Branch one: % 15.04/3.98 | (1188) all_0_120_120 = e10 % 15.04/3.98 | % 15.04/3.98 | Equations (1188) can reduce 1186 to: % 15.04/3.98 | (387) $false % 15.04/3.98 | % 15.04/3.98 |-The branch is then unsatisfiable % 15.04/3.98 |-Branch two: % 15.04/3.98 | (1186) ~ (all_0_120_120 = e10) % 15.04/3.98 | (1680) all_0_121_121 = e10 | all_0_122_122 = e10 % 15.04/3.98 | % 15.04/3.98 +-Applying beta-rule and splitting (1680), into two cases. % 15.04/3.98 |-Branch one: % 15.04/3.98 | (1663) all_0_121_121 = e10 % 15.04/3.98 | % 15.04/3.98 | Equations (1663) can reduce 1657 to: % 15.04/3.98 | (1199) ~ (e11 = e10) % 15.04/3.98 | % 15.04/3.98 | Simplifying 1199 yields: % 15.04/3.98 | (253) ~ (e11 = e10) % 15.04/3.98 | % 15.04/3.98 +-Applying beta-rule and splitting (293), into two cases. % 15.04/3.98 |-Branch one: % 15.04/3.98 | (1087) all_0_116_116 = e13 & ( ~ (all_0_125_125 = e13) | all_0_123_123 = e11) % 15.04/3.98 | % 15.04/3.98 | Applying alpha-rule on (1087) yields: % 15.04/3.98 | (1088) all_0_116_116 = e13 % 15.04/3.98 | (1089) ~ (all_0_125_125 = e13) | all_0_123_123 = e11 % 15.04/3.98 | % 15.04/3.98 | Equations (1088) can reduce 178 to: % 15.04/3.98 | (1389) ~ (all_0_118_118 = e13) % 15.04/3.98 | % 15.04/3.98 | Simplifying 1389 yields: % 15.04/3.98 | (1385) ~ (all_0_118_118 = e13) % 15.04/3.98 | % 15.04/3.98 | Equations (1088) can reduce 1321 to: % 15.04/3.98 | (97) ~ (e13 = e10) % 15.04/3.98 | % 15.04/3.98 +-Applying beta-rule and splitting (102), into two cases. % 15.04/3.98 |-Branch one: % 15.04/3.98 | (1106) all_0_118_118 = e13 % 15.04/3.98 | % 15.04/3.98 | Equations (1106) can reduce 1385 to: % 15.04/3.98 | (387) $false % 15.04/3.98 | % 15.04/3.98 |-The branch is then unsatisfiable % 15.04/3.98 |-Branch two: % 15.04/3.98 | (1385) ~ (all_0_118_118 = e13) % 15.04/3.98 | (1370) all_0_125_125 = e13 % 15.04/3.98 | % 15.04/3.98 +-Applying beta-rule and splitting (131), into two cases. % 15.04/3.98 |-Branch one: % 15.04/3.98 | (1694) all_0_118_118 = e10 % 15.04/3.98 | % 15.04/3.98 | Equations (1694) can reduce 1457 to: % 15.04/3.98 | (387) $false % 15.04/3.98 | % 15.04/3.98 |-The branch is then unsatisfiable % 15.04/3.98 |-Branch two: % 15.04/3.98 | (1457) ~ (all_0_118_118 = e10) % 15.04/3.98 | (1697) all_0_122_122 = e10 | all_0_125_125 = e10 % 15.04/3.98 | % 15.04/3.98 +-Applying beta-rule and splitting (1697), into two cases. % 15.04/3.98 |-Branch one: % 15.04/3.98 | (1198) all_0_122_122 = e10 % 15.04/3.98 | % 15.04/3.98 | Combining equations (1213,1198) yields a new equation: % 15.04/3.98 | (1301) e11 = e10 % 15.04/3.98 | % 15.04/3.98 | Simplifying 1301 yields: % 15.04/3.98 | (1214) e11 = e10 % 15.04/3.98 | % 15.04/3.98 | Equations (1214) can reduce 253 to: % 15.04/3.98 | (387) $false % 15.04/3.98 | % 15.04/3.98 |-The branch is then unsatisfiable % 15.04/3.98 |-Branch two: % 15.04/3.98 | (1315) ~ (all_0_122_122 = e10) % 15.04/3.98 | (1703) all_0_125_125 = e10 % 15.04/3.98 | % 15.04/3.98 | Combining equations (1370,1703) yields a new equation: % 15.04/3.98 | (1360) e13 = e10 % 15.04/3.98 | % 15.04/3.98 | Simplifying 1360 yields: % 15.04/3.98 | (1361) e13 = e10 % 15.04/3.98 | % 15.04/3.98 | Equations (1361) can reduce 97 to: % 15.04/3.98 | (387) $false % 15.04/3.98 | % 15.04/3.98 |-The branch is then unsatisfiable % 15.04/3.98 |-Branch two: % 15.04/3.98 | (1091) all_0_121_121 = e12 & ( ~ (all_0_116_116 = e12) | all_0_117_117 = e13) % 15.04/3.98 | % 15.04/3.98 | Applying alpha-rule on (1091) yields: % 15.04/3.99 | (1092) all_0_121_121 = e12 % 15.04/3.99 | (1093) ~ (all_0_116_116 = e12) | all_0_117_117 = e13 % 15.04/3.99 | % 15.04/3.99 | Combining equations (1092,1663) yields a new equation: % 15.04/3.99 | (1355) e12 = e10 % 15.04/3.99 | % 15.04/3.99 | Simplifying 1355 yields: % 15.04/3.99 | (1169) e12 = e10 % 15.04/3.99 | % 15.04/3.99 | Equations (1169) can reduce 130 to: % 15.04/3.99 | (387) $false % 15.04/3.99 | % 15.04/3.99 |-The branch is then unsatisfiable % 15.04/3.99 |-Branch two: % 15.04/3.99 | (1073) ~ (all_0_121_121 = e10) % 15.04/3.99 | (1198) all_0_122_122 = e10 % 15.04/3.99 | % 15.04/3.99 | Combining equations (1198,1213) yields a new equation: % 15.04/3.99 | (1214) e11 = e10 % 15.04/3.99 | % 15.04/3.99 | Equations (1214) can reduce 253 to: % 15.04/3.99 | (387) $false % 15.04/3.99 | % 15.04/3.99 |-The branch is then unsatisfiable % 15.04/3.99 |-Branch two: % 15.04/3.99 | (1171) ~ (all_0_119_119 = e10) % 15.04/3.99 | (1172) all_0_126_126 = e10 % 15.04/3.99 | % 15.04/3.99 | Equations (1172) can reduce 112 to: % 15.04/3.99 | (1171) ~ (all_0_119_119 = e10) % 15.04/3.99 | % 15.04/3.99 | Equations (1172) can reduce 201 to: % 15.04/3.99 | (1358) ~ (all_0_123_123 = e10) % 15.04/3.99 | % 15.04/3.99 | Equations (1172) can reduce 212 to: % 15.04/3.99 | (1199) ~ (e11 = e10) % 15.04/3.99 | % 15.04/3.99 | Simplifying 1199 yields: % 15.04/3.99 | (253) ~ (e11 = e10) % 15.04/3.99 | % 15.04/3.99 | From (1172) and (137) follows: % 15.04/3.99 | (1723) h4(e10) = all_0_22_22 % 15.04/3.99 | % 15.04/3.99 +-Applying beta-rule and splitting (296), into two cases. % 15.04/3.99 |-Branch one: % 15.04/3.99 | (1168) all_0_119_119 = e10 % 15.04/3.99 | % 15.04/3.99 | Equations (1168) can reduce 1171 to: % 15.04/3.99 | (387) $false % 15.04/3.99 | % 15.04/3.99 |-The branch is then unsatisfiable % 15.04/3.99 |-Branch two: % 15.04/3.99 | (1171) ~ (all_0_119_119 = e10) % 15.04/3.99 | (1158) all_0_119_119 = e12 % 15.04/3.99 | % 15.04/3.99 | Equations (1158) can reduce 305 to: % 15.04/3.99 | (1094) ~ (all_0_117_117 = e12) % 15.04/3.99 | % 15.04/3.99 | Equations (1158) can reduce 144 to: % 15.04/3.99 | (164) ~ (all_0_118_118 = e12) % 15.04/3.99 | % 15.04/3.99 | Equations (1158) can reduce 239 to: % 15.04/3.99 | (70) ~ (e12 = e11) % 15.04/3.99 | % 15.04/3.99 | Equations (1158) can reduce 1171 to: % 15.04/3.99 | (130) ~ (e12 = e10) % 15.04/3.99 | % 15.04/3.99 | From (1158) and (246) follows: % 15.04/3.99 | (1732) h4(e12) = all_0_7_7 % 15.04/3.99 | % 15.04/3.99 | Instantiating formula (46) with e12, all_0_7_7, e22 and discharging atoms h4(e12) = all_0_7_7, h4(e12) = e22, yields: % 15.04/3.99 | (1733) all_0_7_7 = e22 % 15.04/3.99 | % 15.04/3.99 | Instantiating formula (46) with e10, all_0_22_22, e23 and discharging atoms h4(e10) = all_0_22_22, h4(e10) = e23, yields: % 15.04/3.99 | (1734) all_0_22_22 = e23 % 15.04/3.99 | % 15.04/3.99 | From (1733) and (1732) follows: % 15.04/3.99 | (1015) h4(e12) = e22 % 15.04/3.99 | % 15.04/3.99 | From (1734) and (1723) follows: % 15.04/3.99 | (350) h4(e10) = e23 % 15.04/3.99 | % 15.04/3.99 +-Applying beta-rule and splitting (290), into two cases. % 15.04/3.99 |-Branch one: % 15.04/3.99 | (1198) all_0_122_122 = e10 % 15.04/3.99 | % 15.04/3.99 | Equations (1198) can reduce 248 to: % 15.04/3.99 | (1457) ~ (all_0_118_118 = e10) % 15.04/3.99 | % 15.04/3.99 | Equations (1198) can reduce 159 to: % 15.04/3.99 | (1186) ~ (all_0_120_120 = e10) % 15.04/3.99 | % 15.04/3.99 | Equations (1198) can reduce 86 to: % 15.04/3.99 | (1740) ~ (all_0_125_125 = e10) % 15.04/3.99 | % 15.04/3.99 | Simplifying 1740 yields: % 15.04/3.99 | (1741) ~ (all_0_125_125 = e10) % 15.04/3.99 | % 15.04/3.99 | Equations (1198) can reduce 216 to: % 15.04/3.99 | (1175) ~ (e12 = e10) % 15.04/3.99 | % 15.04/3.99 | Simplifying 1175 yields: % 15.04/3.99 | (130) ~ (e12 = e10) % 15.04/3.99 | % 15.04/3.99 | From (1198) and (96) follows: % 15.04/3.99 | (1744) h4(e10) = all_0_13_13 % 15.04/3.99 | % 15.04/3.99 +-Applying beta-rule and splitting (71), into two cases. % 15.04/3.99 |-Branch one: % 15.04/3.99 | (1482) all_0_117_117 = e10 % 15.04/3.99 | % 15.04/3.99 | Equations (1482) can reduce 111 to: % 15.04/3.99 | (1746) ~ (all_0_118_118 = e10) % 15.04/3.99 | % 15.04/3.99 | Simplifying 1746 yields: % 15.04/3.99 | (1457) ~ (all_0_118_118 = e10) % 15.04/3.99 | % 15.04/3.99 | Equations (1482) can reduce 208 to: % 15.04/3.99 | (1748) ~ (all_0_121_121 = e10) % 15.04/3.99 | % 15.04/3.99 | Simplifying 1748 yields: % 15.04/3.99 | (1073) ~ (all_0_121_121 = e10) % 15.04/3.99 | % 15.04/3.99 | Equations (1482) can reduce 184 to: % 15.04/3.99 | (1750) ~ (all_0_124_124 = e10) % 15.04/3.99 | % 15.04/3.99 | Simplifying 1750 yields: % 15.04/3.99 | (1074) ~ (all_0_124_124 = e10) % 15.04/3.99 | % 15.04/3.99 | From (1482) and (172) follows: % 15.04/3.99 | (1752) h4(e10) = all_0_3_3 % 15.04/3.99 | % 15.04/3.99 | Instantiating formula (46) with e10, all_0_3_3, e23 and discharging atoms h4(e10) = all_0_3_3, h4(e10) = e23, yields: % 15.04/3.99 | (1753) all_0_3_3 = e23 % 15.04/3.99 | % 15.04/3.99 | Instantiating formula (46) with e10, all_0_13_13, all_0_3_3 and discharging atoms h4(e10) = all_0_3_3, h4(e10) = all_0_13_13, yields: % 15.04/3.99 | (1754) all_0_3_3 = all_0_13_13 % 15.04/3.99 | % 15.04/3.99 | Combining equations (1753,1754) yields a new equation: % 15.04/3.99 | (1755) all_0_13_13 = e23 % 15.04/3.99 | % 15.04/3.99 | Combining equations (1755,1754) yields a new equation: % 15.04/3.99 | (1753) all_0_3_3 = e23 % 15.04/3.99 | % 15.04/3.99 +-Applying beta-rule and splitting (293), into two cases. % 15.04/3.99 |-Branch one: % 15.04/3.99 | (1087) all_0_116_116 = e13 & ( ~ (all_0_125_125 = e13) | all_0_123_123 = e11) % 15.04/3.99 | % 15.04/3.99 | Applying alpha-rule on (1087) yields: % 15.04/3.99 | (1088) all_0_116_116 = e13 % 15.04/3.99 | (1089) ~ (all_0_125_125 = e13) | all_0_123_123 = e11 % 15.04/3.99 | % 15.04/3.99 | Equations (1088) can reduce 178 to: % 15.04/3.99 | (1389) ~ (all_0_118_118 = e13) % 15.04/3.99 | % 15.04/3.99 | Simplifying 1389 yields: % 15.04/3.99 | (1385) ~ (all_0_118_118 = e13) % 15.04/3.99 | % 15.04/3.99 | Equations (1088) can reduce 267 to: % 15.04/3.99 | (1762) ~ (all_0_120_120 = e13) % 15.04/3.99 | % 15.04/3.99 | Simplifying 1762 yields: % 15.04/3.99 | (48) ~ (all_0_120_120 = e13) % 15.04/3.99 | % 15.04/3.99 +-Applying beta-rule and splitting (102), into two cases. % 15.04/3.99 |-Branch one: % 15.04/3.99 | (1106) all_0_118_118 = e13 % 15.04/3.99 | % 15.04/3.99 | Equations (1106) can reduce 1385 to: % 15.04/3.99 | (387) $false % 15.04/3.99 | % 15.04/3.99 |-The branch is then unsatisfiable % 15.04/3.99 |-Branch two: % 15.04/3.99 | (1385) ~ (all_0_118_118 = e13) % 15.04/3.99 | (1370) all_0_125_125 = e13 % 15.04/3.99 | % 15.04/3.99 | Equations (1370) can reduce 163 to: % 15.04/3.99 | (1385) ~ (all_0_118_118 = e13) % 15.04/3.99 | % 15.04/3.99 +-Applying beta-rule and splitting (302), into two cases. % 15.04/3.99 |-Branch one: % 15.04/3.99 | (1694) all_0_118_118 = e10 % 15.04/3.99 | % 15.04/3.99 | Equations (1694) can reduce 1457 to: % 15.04/3.99 | (387) $false % 15.04/3.99 | % 15.04/3.99 |-The branch is then unsatisfiable % 15.04/3.99 |-Branch two: % 15.04/3.99 | (1457) ~ (all_0_118_118 = e10) % 15.04/3.99 | (1772) all_0_118_118 = e13 | all_0_118_118 = e11 % 15.04/3.99 | % 15.04/3.99 +-Applying beta-rule and splitting (234), into two cases. % 15.04/3.99 |-Branch one: % 15.04/3.99 | (1207) all_0_118_118 = e11 % 15.04/3.99 | % 15.04/3.99 | Equations (1207) can reduce 164 to: % 15.04/3.99 | (1336) ~ (e12 = e11) % 15.04/3.99 | % 15.04/3.99 | Simplifying 1336 yields: % 15.04/3.99 | (70) ~ (e12 = e11) % 15.04/3.99 | % 15.04/3.99 +-Applying beta-rule and splitting (1089), into two cases. % 15.04/3.99 |-Branch one: % 15.04/3.99 | (1108) ~ (all_0_125_125 = e13) % 15.04/3.99 | % 15.04/3.99 | Equations (1370) can reduce 1108 to: % 15.04/3.99 | (387) $false % 15.04/3.99 | % 15.04/3.99 |-The branch is then unsatisfiable % 15.04/3.99 |-Branch two: % 15.04/3.99 | (1370) all_0_125_125 = e13 % 15.04/3.99 | (1348) all_0_123_123 = e11 % 15.04/3.99 | % 15.04/3.99 | Equations (1348) can reduce 303 to: % 15.04/3.99 | (1318) ~ (all_0_120_120 = e11) % 15.04/3.99 | % 15.04/3.99 | Equations (1348) can reduce 1358 to: % 15.04/3.99 | (253) ~ (e11 = e10) % 15.04/3.99 | % 15.04/3.99 +-Applying beta-rule and splitting (236), into two cases. % 15.04/3.99 |-Branch one: % 15.04/3.99 | (1192) all_0_120_120 = e11 % 15.04/3.99 | % 15.04/3.99 | Equations (1192) can reduce 1318 to: % 15.04/3.99 | (387) $false % 15.04/3.99 | % 15.04/3.99 |-The branch is then unsatisfiable % 15.04/3.99 |-Branch two: % 15.04/3.99 | (1318) ~ (all_0_120_120 = e11) % 15.04/3.99 | (1785) all_0_121_121 = e11 | all_0_122_122 = e11 % 15.04/3.99 | % 15.04/3.99 +-Applying beta-rule and splitting (101), into two cases. % 15.04/3.99 |-Branch one: % 15.04/3.99 | (1188) all_0_120_120 = e10 % 15.04/3.99 | % 15.04/3.99 | Equations (1188) can reduce 1186 to: % 15.04/3.99 | (387) $false % 15.04/3.99 | % 15.04/3.99 |-The branch is then unsatisfiable % 15.04/3.99 |-Branch two: % 15.04/3.99 | (1186) ~ (all_0_120_120 = e10) % 15.04/3.99 | (1191) all_0_120_120 = e12 | all_0_120_120 = e11 % 15.04/3.99 | % 15.04/3.99 +-Applying beta-rule and splitting (1785), into two cases. % 15.04/3.99 |-Branch one: % 15.04/3.99 | (1148) all_0_121_121 = e11 % 15.04/3.99 | % 15.04/3.99 | Equations (1148) can reduce 147 to: % 15.04/3.99 | (1195) ~ (e13 = e11) % 15.04/3.99 | % 15.04/3.99 | Simplifying 1195 yields: % 15.04/3.99 | (361) ~ (e13 = e11) % 15.04/3.99 | % 15.04/3.99 +-Applying beta-rule and splitting (63), into two cases. % 15.04/3.99 |-Branch one: % 15.04/3.99 | (1160) all_0_120_120 = e12 % 15.04/3.99 | % 15.04/3.99 | Equations (1160) can reduce 48 to: % 15.04/3.99 | (1578) ~ (e13 = e12) % 15.04/3.99 | % 15.04/3.99 | Simplifying 1578 yields: % 15.04/3.99 | (297) ~ (e13 = e12) % 15.04/3.99 | % 15.04/4.00 | Equations (1160) can reduce 1186 to: % 15.04/4.00 | (130) ~ (e12 = e10) % 15.04/4.00 | % 15.04/4.00 +-Applying beta-rule and splitting (58), into two cases. % 15.04/4.00 |-Branch one: % 15.04/4.00 | (1155) all_0_117_117 = e12 % 15.04/4.00 | % 15.04/4.00 | Combining equations (1482,1155) yields a new equation: % 15.04/4.00 | (1169) e12 = e10 % 15.04/4.00 | % 15.04/4.00 | Equations (1169) can reduce 130 to: % 15.04/4.00 | (387) $false % 15.04/4.00 | % 15.04/4.00 |-The branch is then unsatisfiable % 15.04/4.00 |-Branch two: % 15.04/4.00 | (1094) ~ (all_0_117_117 = e12) % 15.04/4.00 | (1801) all_0_121_121 = e12 | all_0_124_124 = e12 % 15.04/4.00 | % 15.04/4.00 | Equations (1482) can reduce 1094 to: % 15.04/4.00 | (1175) ~ (e12 = e10) % 15.04/4.00 | % 15.04/4.00 | Simplifying 1175 yields: % 15.04/4.00 | (130) ~ (e12 = e10) % 15.04/4.00 | % 15.04/4.00 +-Applying beta-rule and splitting (362), into two cases. % 15.04/4.00 |-Branch one: % 15.04/4.00 | (1131) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) | (all_0_118_118 = e13 & ~ (all_0_116_116 = e11)) | (all_0_120_120 = e12 & all_0_125_125 = e13 & ~ (all_0_123_123 = e11)) % 15.04/4.00 | % 15.04/4.00 +-Applying beta-rule and splitting (1131), into two cases. % 15.04/4.00 |-Branch one: % 15.04/4.00 | (1132) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) | (all_0_118_118 = e13 & ~ (all_0_116_116 = e11)) % 15.04/4.00 | % 15.04/4.00 +-Applying beta-rule and splitting (1132), into two cases. % 15.04/4.00 |-Branch one: % 15.04/4.00 | (1133) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) % 15.04/4.00 | % 15.04/4.00 +-Applying beta-rule and splitting (1133), into two cases. % 15.04/4.00 |-Branch one: % 15.04/4.00 | (1134) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) % 15.04/4.00 | % 15.04/4.00 +-Applying beta-rule and splitting (1134), into two cases. % 15.04/4.00 |-Branch one: % 15.04/4.00 | (1135) all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13) % 15.11/4.00 | % 15.11/4.00 | Applying alpha-rule on (1135) yields: % 15.11/4.00 | (1123) all_0_116_116 = e12 % 15.11/4.00 | (1137) all_0_124_124 = e11 % 15.11/4.00 | (1115) ~ (all_0_117_117 = e13) % 15.11/4.00 | % 15.11/4.00 | Combining equations (1088,1123) yields a new equation: % 15.11/4.00 | (1589) e13 = e12 % 15.11/4.00 | % 15.11/4.00 | Simplifying 1589 yields: % 15.11/4.00 | (1501) e13 = e12 % 15.11/4.00 | % 15.11/4.00 | Equations (1501) can reduce 297 to: % 15.11/4.00 | (387) $false % 15.11/4.00 | % 15.11/4.00 |-The branch is then unsatisfiable % 15.11/4.00 |-Branch two: % 15.11/4.00 | (1141) all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13) % 15.11/4.00 | % 15.11/4.00 | Applying alpha-rule on (1141) yields: % 15.11/4.00 | (1123) all_0_116_116 = e12 % 15.11/4.00 | (1071) all_0_128_128 = e10 % 15.11/4.00 | (1115) ~ (all_0_117_117 = e13) % 15.11/4.00 | % 15.11/4.00 | Combining equations (1088,1123) yields a new equation: % 15.11/4.00 | (1589) e13 = e12 % 15.11/4.00 | % 15.11/4.00 | Simplifying 1589 yields: % 15.11/4.00 | (1501) e13 = e12 % 15.11/4.00 | % 15.11/4.00 | Combining equations (1432,1071) yields a new equation: % 15.11/4.00 | (1360) e13 = e10 % 15.11/4.00 | % 15.11/4.00 | Simplifying 1360 yields: % 15.11/4.00 | (1361) e13 = e10 % 15.11/4.00 | % 15.11/4.00 | Combining equations (1361,1501) yields a new equation: % 15.11/4.00 | (1169) e12 = e10 % 15.11/4.00 | % 15.11/4.00 | Equations (1169) can reduce 130 to: % 15.11/4.00 | (387) $false % 15.11/4.00 | % 15.11/4.00 |-The branch is then unsatisfiable % 15.11/4.00 |-Branch two: % 15.11/4.00 | (1146) all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11) % 15.11/4.00 | % 15.11/4.00 | Applying alpha-rule on (1146) yields: % 15.11/4.00 | (1106) all_0_118_118 = e13 % 15.11/4.00 | (1148) all_0_121_121 = e11 % 15.11/4.00 | (1149) ~ (all_0_116_116 = e11) % 15.11/4.00 | % 15.11/4.00 | Combining equations (1207,1106) yields a new equation: % 15.11/4.00 | (1139) e13 = e11 % 15.11/4.00 | % 15.11/4.00 | Equations (1139) can reduce 361 to: % 15.11/4.00 | (387) $false % 15.11/4.00 | % 15.11/4.00 |-The branch is then unsatisfiable % 15.11/4.00 |-Branch two: % 15.11/4.00 | (1152) all_0_118_118 = e13 & ~ (all_0_116_116 = e11) % 15.11/4.00 | % 15.11/4.00 | Applying alpha-rule on (1152) yields: % 15.11/4.00 | (1106) all_0_118_118 = e13 % 15.11/4.00 | (1149) ~ (all_0_116_116 = e11) % 15.11/4.00 | % 15.11/4.00 | Combining equations (1106,1207) yields a new equation: % 15.11/4.00 | (1208) e13 = e11 % 15.11/4.00 | % 15.11/4.00 | Simplifying 1208 yields: % 15.11/4.00 | (1139) e13 = e11 % 15.11/4.00 | % 15.11/4.00 | Equations (1139) can reduce 361 to: % 15.11/4.00 | (387) $false % 15.11/4.00 | % 15.11/4.00 |-The branch is then unsatisfiable % 15.11/4.00 |-Branch two: % 15.11/4.00 | (1368) all_0_120_120 = e12 & all_0_125_125 = e13 & ~ (all_0_123_123 = e11) % 15.11/4.00 | % 15.11/4.00 | Applying alpha-rule on (1368) yields: % 15.11/4.00 | (1160) all_0_120_120 = e12 % 15.11/4.00 | (1370) all_0_125_125 = e13 % 15.11/4.00 | (1371) ~ (all_0_123_123 = e11) % 15.11/4.00 | % 15.11/4.00 | Equations (1348) can reduce 1371 to: % 15.11/4.00 | (387) $false % 15.11/4.00 | % 15.11/4.00 |-The branch is then unsatisfiable % 15.11/4.00 |-Branch two: % 15.11/4.00 | (1373) all_0_125_125 = e13 & all_0_127_127 = e10 & ~ (all_0_123_123 = e11) % 15.11/4.00 | % 15.11/4.00 | Applying alpha-rule on (1373) yields: % 15.11/4.00 | (1370) all_0_125_125 = e13 % 15.11/4.00 | (1077) all_0_127_127 = e10 % 15.11/4.00 | (1371) ~ (all_0_123_123 = e11) % 15.11/4.00 | % 15.11/4.00 | Equations (1348) can reduce 1371 to: % 15.11/4.00 | (387) $false % 15.11/4.00 | % 15.11/4.00 |-The branch is then unsatisfiable % 15.11/4.00 |-Branch two: % 15.11/4.00 | (1095) ~ (all_0_120_120 = e12) % 15.11/4.00 | (1092) all_0_121_121 = e12 % 15.11/4.00 | % 15.11/4.00 | Combining equations (1148,1092) yields a new equation: % 15.11/4.00 | (1150) e12 = e11 % 15.11/4.00 | % 15.11/4.00 | Equations (1150) can reduce 70 to: % 15.11/4.00 | (387) $false % 15.11/4.00 | % 15.11/4.00 |-The branch is then unsatisfiable % 15.11/4.00 |-Branch two: % 15.11/4.00 | (1657) ~ (all_0_121_121 = e11) % 15.11/4.00 | (1213) all_0_122_122 = e11 % 15.11/4.00 | % 15.11/4.00 | Combining equations (1213,1198) yields a new equation: % 15.11/4.00 | (1301) e11 = e10 % 15.11/4.00 | % 15.11/4.00 | Simplifying 1301 yields: % 15.11/4.00 | (1214) e11 = e10 % 15.11/4.00 | % 15.11/4.00 | Equations (1214) can reduce 253 to: % 15.11/4.00 | (387) $false % 15.11/4.00 | % 15.11/4.00 |-The branch is then unsatisfiable % 15.11/4.00 |-Branch two: % 15.11/4.00 | (1211) ~ (all_0_118_118 = e11) % 15.11/4.00 | (1212) all_0_122_122 = e11 | all_0_125_125 = e11 % 15.11/4.00 | % 15.11/4.00 +-Applying beta-rule and splitting (1772), into two cases. % 15.11/4.00 |-Branch one: % 15.11/4.00 | (1106) all_0_118_118 = e13 % 15.11/4.00 | % 15.11/4.00 | Equations (1106) can reduce 1385 to: % 15.11/4.00 | (387) $false % 15.11/4.00 | % 15.11/4.00 |-The branch is then unsatisfiable % 15.11/4.00 |-Branch two: % 15.11/4.00 | (1385) ~ (all_0_118_118 = e13) % 15.11/4.00 | (1207) all_0_118_118 = e11 % 15.11/4.00 | % 15.11/4.00 | Equations (1207) can reduce 1211 to: % 15.11/4.00 | (387) $false % 15.11/4.00 | % 15.11/4.00 |-The branch is then unsatisfiable % 15.11/4.00 |-Branch two: % 15.11/4.00 | (1091) all_0_121_121 = e12 & ( ~ (all_0_116_116 = e12) | all_0_117_117 = e13) % 15.11/4.00 | % 15.11/4.00 | Applying alpha-rule on (1091) yields: % 15.11/4.00 | (1092) all_0_121_121 = e12 % 15.11/4.00 | (1093) ~ (all_0_116_116 = e12) | all_0_117_117 = e13 % 15.11/4.00 | % 15.11/4.00 | Equations (1092) can reduce 173 to: % 15.11/4.00 | (1866) ~ (all_0_124_124 = e12) % 15.11/4.00 | % 15.11/4.00 | Simplifying 1866 yields: % 15.11/4.00 | (1867) ~ (all_0_124_124 = e12) % 15.11/4.00 | % 15.11/4.00 | Equations (1092) can reduce 1073 to: % 15.11/4.00 | (130) ~ (e12 = e10) % 15.11/4.00 | % 15.11/4.00 | From (1092) and (351) follows: % 15.11/4.00 | (1869) h4(e12) = all_0_11_11 % 15.11/4.00 | % 15.11/4.00 +-Applying beta-rule and splitting (317), into two cases. % 15.11/4.00 |-Branch one: % 15.11/4.00 | (1202) all_0_117_117 = e11 % 15.11/4.00 | % 15.11/4.00 | Combining equations (1482,1202) yields a new equation: % 15.11/4.00 | (1214) e11 = e10 % 15.11/4.00 | % 15.11/4.00 | Equations (1214) can reduce 253 to: % 15.11/4.00 | (387) $false % 15.11/4.00 | % 15.11/4.00 |-The branch is then unsatisfiable % 15.11/4.00 |-Branch two: % 15.11/4.00 | (1292) ~ (all_0_117_117 = e11) % 15.11/4.00 | (1293) all_0_121_121 = e11 | all_0_124_124 = e11 % 15.11/4.00 | % 15.11/4.00 +-Applying beta-rule and splitting (1293), into two cases. % 15.11/4.00 |-Branch one: % 15.11/4.00 | (1148) all_0_121_121 = e11 % 15.11/4.00 | % 15.11/4.00 | Combining equations (1092,1148) yields a new equation: % 15.11/4.00 | (1349) e12 = e11 % 15.11/4.00 | % 15.11/4.00 | Simplifying 1349 yields: % 15.11/4.00 | (1150) e12 = e11 % 15.11/4.00 | % 15.11/4.00 | Equations (1150) can reduce 70 to: % 15.11/4.00 | (387) $false % 15.11/4.00 | % 15.11/4.00 |-The branch is then unsatisfiable % 15.11/4.00 |-Branch two: % 15.11/4.00 | (1657) ~ (all_0_121_121 = e11) % 15.11/4.00 | (1137) all_0_124_124 = e11 % 15.11/4.00 | % 15.11/4.00 | Equations (1137) can reduce 247 to: % 15.11/4.00 | (1881) ~ (all_0_125_125 = e11) % 15.11/4.00 | % 15.11/4.00 | Simplifying 1881 yields: % 15.11/4.00 | (1882) ~ (all_0_125_125 = e11) % 15.11/4.00 | % 15.11/4.01 | Equations (1137) can reduce 1382 to: % 15.11/4.01 | (1195) ~ (e13 = e11) % 15.11/4.01 | % 15.11/4.01 | Simplifying 1195 yields: % 15.11/4.01 | (361) ~ (e13 = e11) % 15.11/4.01 | % 15.11/4.01 | Equations (1137) can reduce 1867 to: % 15.11/4.01 | (1336) ~ (e12 = e11) % 15.11/4.01 | % 15.11/4.01 | Simplifying 1336 yields: % 15.11/4.01 | (70) ~ (e12 = e11) % 15.11/4.01 | % 15.11/4.01 | Equations (1137) can reduce 1074 to: % 15.11/4.01 | (253) ~ (e11 = e10) % 15.11/4.01 | % 15.11/4.01 | From (1137) and (135) follows: % 15.11/4.01 | (1888) h4(e11) = all_0_18_18 % 15.11/4.01 | % 15.11/4.01 +-Applying beta-rule and splitting (275), into two cases. % 15.11/4.01 |-Branch one: % 15.11/4.01 | (1163) all_0_123_123 = e12 % 15.11/4.01 | % 15.11/4.01 | Equations (1163) can reduce 19 to: % 15.11/4.01 | (1890) ~ (all_0_125_125 = e12) % 15.11/4.01 | % 15.11/4.01 | Simplifying 1890 yields: % 15.11/4.01 | (250) ~ (all_0_125_125 = e12) % 15.11/4.01 | % 15.11/4.01 | From (1163) and (50) follows: % 15.11/4.01 | (1892) h4(e12) = all_0_16_16 % 15.11/4.01 | % 15.11/4.01 +-Applying beta-rule and splitting (269), into two cases. % 15.11/4.01 |-Branch one: % 15.11/4.01 | (1703) all_0_125_125 = e10 % 15.11/4.01 | % 15.11/4.01 | Equations (1703) can reduce 1741 to: % 15.11/4.01 | (387) $false % 15.11/4.01 | % 15.11/4.01 |-The branch is then unsatisfiable % 15.11/4.01 |-Branch two: % 15.11/4.01 | (1741) ~ (all_0_125_125 = e10) % 15.11/4.01 | (1896) all_0_125_125 = e13 | all_0_125_125 = e11 % 15.11/4.01 | % 15.11/4.01 +-Applying beta-rule and splitting (234), into two cases. % 15.11/4.01 |-Branch one: % 15.11/4.01 | (1207) all_0_118_118 = e11 % 15.11/4.01 | % 15.11/4.01 | Equations (1207) can reduce 164 to: % 15.11/4.01 | (1336) ~ (e12 = e11) % 15.11/4.01 | % 15.11/4.01 | Simplifying 1336 yields: % 15.11/4.01 | (70) ~ (e12 = e11) % 15.11/4.01 | % 15.11/4.01 | Equations (1207) can reduce 1457 to: % 15.11/4.01 | (253) ~ (e11 = e10) % 15.11/4.01 | % 15.11/4.01 | From (1207) and (343) follows: % 15.11/4.01 | (1901) h4(e11) = all_0_5_5 % 15.11/4.01 | % 15.11/4.01 +-Applying beta-rule and splitting (102), into two cases. % 15.11/4.01 |-Branch one: % 15.11/4.01 | (1106) all_0_118_118 = e13 % 15.11/4.01 | % 15.11/4.01 | Combining equations (1207,1106) yields a new equation: % 15.11/4.01 | (1139) e13 = e11 % 15.11/4.01 | % 15.11/4.01 | Equations (1139) can reduce 361 to: % 15.11/4.01 | (387) $false % 15.11/4.01 | % 15.11/4.01 |-The branch is then unsatisfiable % 15.11/4.01 |-Branch two: % 15.11/4.01 | (1385) ~ (all_0_118_118 = e13) % 15.11/4.01 | (1370) all_0_125_125 = e13 % 15.11/4.01 | % 15.11/4.01 | Equations (1370) can reduce 250 to: % 15.11/4.01 | (297) ~ (e13 = e12) % 15.11/4.01 | % 15.11/4.01 | Equations (1370) can reduce 1741 to: % 15.11/4.01 | (97) ~ (e13 = e10) % 15.11/4.01 | % 15.11/4.01 | From (1370) and (238) follows: % 15.11/4.01 | (1909) h4(e13) = all_0_20_20 % 15.11/4.01 | % 15.11/4.01 +-Applying beta-rule and splitting (210), into two cases. % 15.11/4.01 |-Branch one: % 15.11/4.01 | (1088) all_0_116_116 = e13 % 15.11/4.01 | % 15.11/4.01 | From (1088) and (82) follows: % 15.11/4.01 | (1911) h4(e13) = all_0_1_1 % 15.11/4.01 | % 15.11/4.01 +-Applying beta-rule and splitting (236), into two cases. % 15.11/4.01 |-Branch one: % 15.11/4.01 | (1192) all_0_120_120 = e11 % 15.11/4.01 | % 15.11/4.01 | From (1192) and (153) follows: % 15.11/4.01 | (1913) h4(e11) = all_0_9_9 % 15.11/4.01 | % 15.11/4.01 | Instantiating formula (46) with e13, all_0_1_1, e21 and discharging atoms h4(e13) = all_0_1_1, h4(e13) = e21, yields: % 15.11/4.01 | (1914) all_0_1_1 = e21 % 15.11/4.01 | % 15.11/4.01 | Instantiating formula (46) with e13, all_0_20_20, all_0_1_1 and discharging atoms h4(e13) = all_0_1_1, h4(e13) = all_0_20_20, yields: % 15.11/4.01 | (1915) all_0_1_1 = all_0_20_20 % 15.11/4.01 | % 15.11/4.01 | Instantiating formula (46) with e12, all_0_11_11, e22 and discharging atoms h4(e12) = all_0_11_11, h4(e12) = e22, yields: % 15.11/4.01 | (1916) all_0_11_11 = e22 % 15.11/4.01 | % 15.11/4.01 | Instantiating formula (46) with e12, all_0_16_16, all_0_11_11 and discharging atoms h4(e12) = all_0_11_11, h4(e12) = all_0_16_16, yields: % 15.11/4.01 | (1917) all_0_11_11 = all_0_16_16 % 15.11/4.01 | % 15.11/4.01 | Instantiating formula (46) with e11, all_0_5_5, e20 and discharging atoms h4(e11) = all_0_5_5, h4(e11) = e20, yields: % 15.11/4.01 | (1918) all_0_5_5 = e20 % 15.11/4.01 | % 15.11/4.01 | Instantiating formula (46) with e11, all_0_9_9, all_0_5_5 and discharging atoms h4(e11) = all_0_5_5, h4(e11) = all_0_9_9, yields: % 15.11/4.01 | (1919) all_0_5_5 = all_0_9_9 % 15.11/4.01 | % 15.11/4.01 | Instantiating formula (46) with e11, all_0_18_18, all_0_5_5 and discharging atoms h4(e11) = all_0_5_5, h4(e11) = all_0_18_18, yields: % 15.11/4.01 | (1920) all_0_5_5 = all_0_18_18 % 15.11/4.01 | % 15.11/4.01 | Combining equations (1914,1915) yields a new equation: % 15.11/4.01 | (1921) all_0_20_20 = e21 % 15.11/4.01 | % 15.11/4.01 | Combining equations (1920,1919) yields a new equation: % 15.11/4.01 | (1922) all_0_9_9 = all_0_18_18 % 15.11/4.01 | % 15.11/4.01 | Combining equations (1918,1919) yields a new equation: % 15.11/4.01 | (1923) all_0_9_9 = e20 % 15.11/4.01 | % 15.11/4.01 | Combining equations (1923,1922) yields a new equation: % 15.11/4.01 | (1924) all_0_18_18 = e20 % 15.11/4.01 | % 15.11/4.01 | Combining equations (1917,1916) yields a new equation: % 15.11/4.01 | (1925) all_0_16_16 = e22 % 15.11/4.01 | % 15.11/4.01 | Simplifying 1925 yields: % 15.11/4.01 | (1926) all_0_16_16 = e22 % 15.11/4.01 | % 15.11/4.01 | Combining equations (1924,1922) yields a new equation: % 15.11/4.01 | (1923) all_0_9_9 = e20 % 15.11/4.01 | % 15.11/4.01 | Combining equations (1923,1919) yields a new equation: % 15.11/4.01 | (1918) all_0_5_5 = e20 % 15.11/4.01 | % 15.11/4.01 | Combining equations (1921,1915) yields a new equation: % 15.11/4.01 | (1914) all_0_1_1 = e21 % 15.11/4.01 | % 15.11/4.01 +-Applying beta-rule and splitting (81), into two cases. % 15.11/4.01 |-Branch one: % 15.11/4.01 | (1930) ~ (all_0_0_0 = all_0_1_1) % 15.11/4.01 | % 15.11/4.01 | Equations (1070,1914) can reduce 1930 to: % 15.11/4.01 | (387) $false % 15.11/4.01 | % 15.11/4.01 |-The branch is then unsatisfiable % 15.11/4.01 |-Branch two: % 15.11/4.01 | (1932) all_0_0_0 = all_0_1_1 % 15.11/4.01 | (1933) ~ (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_97_97) | ~ (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_98_98) | ( ~ (all_0_97_97 = e22) & ~ (all_0_98_98 = e22) & ~ (all_0_103_103 = e22)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e21) & ~ (all_0_103_103 = e21)) | ( ~ (all_0_97_97 = e20) & ~ (all_0_98_98 = e20) & ~ (all_0_103_103 = e20)) % 15.11/4.01 | % 15.11/4.01 +-Applying beta-rule and splitting (1933), into two cases. % 15.11/4.01 |-Branch one: % 15.11/4.01 | (1934) ~ (all_0_2_2 = all_0_3_3) % 15.11/4.01 | % 15.11/4.01 | Equations (1057,1753) can reduce 1934 to: % 15.11/4.01 | (387) $false % 15.11/4.01 | % 15.11/4.01 |-The branch is then unsatisfiable % 15.11/4.01 |-Branch two: % 15.11/4.01 | (1936) all_0_2_2 = all_0_3_3 % 15.11/4.01 | (1937) ~ (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_97_97) | ~ (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_98_98) | ( ~ (all_0_97_97 = e22) & ~ (all_0_98_98 = e22) & ~ (all_0_103_103 = e22)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e21) & ~ (all_0_103_103 = e21)) | ( ~ (all_0_97_97 = e20) & ~ (all_0_98_98 = e20) & ~ (all_0_103_103 = e20)) % 15.11/4.01 | % 15.11/4.01 +-Applying beta-rule and splitting (1937), into two cases. % 15.11/4.01 |-Branch one: % 15.11/4.01 | (1938) ~ (all_0_4_4 = all_0_5_5) % 15.11/4.01 | % 15.11/4.01 | Equations (1062,1918) can reduce 1938 to: % 15.11/4.01 | (387) $false % 15.11/4.01 | % 15.11/4.01 |-The branch is then unsatisfiable % 15.11/4.01 |-Branch two: % 15.11/4.01 | (1940) all_0_4_4 = all_0_5_5 % 15.11/4.01 | (1941) ~ (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_97_97) | ~ (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_98_98) | ( ~ (all_0_97_97 = e22) & ~ (all_0_98_98 = e22) & ~ (all_0_103_103 = e22)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e21) & ~ (all_0_103_103 = e21)) | ( ~ (all_0_97_97 = e20) & ~ (all_0_98_98 = e20) & ~ (all_0_103_103 = e20)) % 15.11/4.01 | % 15.11/4.01 +-Applying beta-rule and splitting (1941), into two cases. % 15.11/4.01 |-Branch one: % 15.11/4.01 | (1942) ~ (all_0_6_6 = all_0_7_7) % 15.11/4.01 | % 15.11/4.01 | Equations (1056,1733) can reduce 1942 to: % 15.11/4.01 | (387) $false % 15.11/4.01 | % 15.11/4.01 |-The branch is then unsatisfiable % 15.11/4.01 |-Branch two: % 15.11/4.01 | (1944) all_0_6_6 = all_0_7_7 % 15.11/4.01 | (1945) ~ (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_97_97) | ~ (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_98_98) | ( ~ (all_0_97_97 = e22) & ~ (all_0_98_98 = e22) & ~ (all_0_103_103 = e22)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e21) & ~ (all_0_103_103 = e21)) | ( ~ (all_0_97_97 = e20) & ~ (all_0_98_98 = e20) & ~ (all_0_103_103 = e20)) % 15.11/4.02 | % 15.11/4.02 +-Applying beta-rule and splitting (1945), into two cases. % 15.11/4.02 |-Branch one: % 15.11/4.02 | (1946) ~ (all_0_8_8 = all_0_9_9) % 15.11/4.02 | % 15.11/4.02 | Equations (1055,1923) can reduce 1946 to: % 15.11/4.02 | (387) $false % 15.11/4.02 | % 15.11/4.02 |-The branch is then unsatisfiable % 15.11/4.02 |-Branch two: % 15.11/4.02 | (1948) all_0_8_8 = all_0_9_9 % 15.11/4.02 | (1949) ~ (all_0_10_10 = all_0_11_11) | ~ (all_0_12_12 = all_0_13_13) | ~ (all_0_14_14 = all_0_97_97) | ~ (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_98_98) | ( ~ (all_0_97_97 = e22) & ~ (all_0_98_98 = e22) & ~ (all_0_103_103 = e22)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e21) & ~ (all_0_103_103 = e21)) | ( ~ (all_0_97_97 = e20) & ~ (all_0_98_98 = e20) & ~ (all_0_103_103 = e20)) % 15.11/4.02 | % 15.11/4.02 +-Applying beta-rule and splitting (1949), into two cases. % 15.11/4.02 |-Branch one: % 15.11/4.02 | (1950) ~ (all_0_10_10 = all_0_11_11) % 15.11/4.02 | % 15.11/4.02 | Equations (1031,1916) can reduce 1950 to: % 15.11/4.02 | (387) $false % 15.11/4.02 | % 15.11/4.02 |-The branch is then unsatisfiable % 15.11/4.02 |-Branch two: % 15.11/4.02 | (1952) all_0_10_10 = all_0_11_11 % 15.11/4.02 | (1953) ~ (all_0_12_12 = all_0_13_13) | ~ (all_0_14_14 = all_0_97_97) | ~ (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_98_98) | ( ~ (all_0_97_97 = e22) & ~ (all_0_98_98 = e22) & ~ (all_0_103_103 = e22)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e21) & ~ (all_0_103_103 = e21)) | ( ~ (all_0_97_97 = e20) & ~ (all_0_98_98 = e20) & ~ (all_0_103_103 = e20)) % 15.21/4.02 | % 15.21/4.02 +-Applying beta-rule and splitting (1953), into two cases. % 15.21/4.02 |-Branch one: % 15.21/4.02 | (1954) ~ (all_0_12_12 = all_0_13_13) % 15.21/4.02 | % 15.21/4.02 | Equations (1032,1755) can reduce 1954 to: % 15.21/4.02 | (387) $false % 15.21/4.02 | % 15.21/4.02 |-The branch is then unsatisfiable % 15.21/4.02 |-Branch two: % 15.21/4.02 | (1956) all_0_12_12 = all_0_13_13 % 15.21/4.02 | (1957) ~ (all_0_14_14 = all_0_97_97) | ~ (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_98_98) | ( ~ (all_0_97_97 = e22) & ~ (all_0_98_98 = e22) & ~ (all_0_103_103 = e22)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e21) & ~ (all_0_103_103 = e21)) | ( ~ (all_0_97_97 = e20) & ~ (all_0_98_98 = e20) & ~ (all_0_103_103 = e20)) % 15.21/4.02 | % 15.21/4.02 +-Applying beta-rule and splitting (1957), into two cases. % 15.21/4.02 |-Branch one: % 15.21/4.02 | (1958) ~ (all_0_14_14 = all_0_97_97) % 15.21/4.02 | % 15.21/4.02 | Equations (1041,1030) can reduce 1958 to: % 15.21/4.02 | (387) $false % 15.21/4.02 | % 15.21/4.02 |-The branch is then unsatisfiable % 15.21/4.02 |-Branch two: % 15.21/4.02 | (365) all_0_14_14 = all_0_97_97 % 15.21/4.02 | (1961) ~ (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_98_98) | ( ~ (all_0_97_97 = e22) & ~ (all_0_98_98 = e22) & ~ (all_0_103_103 = e22)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e21) & ~ (all_0_103_103 = e21)) | ( ~ (all_0_97_97 = e20) & ~ (all_0_98_98 = e20) & ~ (all_0_103_103 = e20)) % 15.21/4.02 | % 15.21/4.02 | Combining equations (1041,365) yields a new equation: % 15.21/4.02 | (1030) all_0_97_97 = e21 % 15.21/4.02 | % 15.21/4.02 +-Applying beta-rule and splitting (1961), into two cases. % 15.21/4.02 |-Branch one: % 15.21/4.02 | (1963) ~ (all_0_15_15 = all_0_16_16) % 15.21/4.02 | % 15.21/4.02 | Equations (1063,1926) can reduce 1963 to: % 15.21/4.02 | (387) $false % 15.21/4.02 | % 15.21/4.02 |-The branch is then unsatisfiable % 15.21/4.02 |-Branch two: % 15.21/4.02 | (1965) all_0_15_15 = all_0_16_16 % 15.21/4.02 | (1966) ~ (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_98_98) | ( ~ (all_0_97_97 = e22) & ~ (all_0_98_98 = e22) & ~ (all_0_103_103 = e22)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e21) & ~ (all_0_103_103 = e21)) | ( ~ (all_0_97_97 = e20) & ~ (all_0_98_98 = e20) & ~ (all_0_103_103 = e20)) % 15.21/4.02 | % 15.21/4.02 +-Applying beta-rule and splitting (1966), into two cases. % 15.21/4.02 |-Branch one: % 15.21/4.02 | (1967) ~ (all_0_17_17 = all_0_18_18) % 15.21/4.02 | % 15.21/4.02 | Equations (1036,1924) can reduce 1967 to: % 15.21/4.02 | (387) $false % 15.21/4.02 | % 15.21/4.02 |-The branch is then unsatisfiable % 15.21/4.02 |-Branch two: % 15.21/4.02 | (1969) all_0_17_17 = all_0_18_18 % 15.21/4.02 | (1970) ~ (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_98_98) | ( ~ (all_0_97_97 = e22) & ~ (all_0_98_98 = e22) & ~ (all_0_103_103 = e22)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e21) & ~ (all_0_103_103 = e21)) | ( ~ (all_0_97_97 = e20) & ~ (all_0_98_98 = e20) & ~ (all_0_103_103 = e20)) % 15.21/4.02 | % 15.21/4.02 +-Applying beta-rule and splitting (1970), into two cases. % 15.21/4.02 |-Branch one: % 15.21/4.02 | (1971) ~ (all_0_19_19 = all_0_20_20) % 15.21/4.02 | % 15.21/4.02 | Equations (1010,1921) can reduce 1971 to: % 15.21/4.02 | (387) $false % 15.21/4.02 | % 15.21/4.02 |-The branch is then unsatisfiable % 15.21/4.02 |-Branch two: % 15.21/4.02 | (1973) all_0_19_19 = all_0_20_20 % 15.21/4.02 | (1974) ~ (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_98_98) | ( ~ (all_0_97_97 = e22) & ~ (all_0_98_98 = e22) & ~ (all_0_103_103 = e22)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e21) & ~ (all_0_103_103 = e21)) | ( ~ (all_0_97_97 = e20) & ~ (all_0_98_98 = e20) & ~ (all_0_103_103 = e20)) % 15.21/4.02 | % 15.21/4.02 +-Applying beta-rule and splitting (1974), into two cases. % 15.21/4.02 |-Branch one: % 15.21/4.02 | (1975) ~ (all_0_21_21 = all_0_22_22) % 15.21/4.02 | % 15.21/4.02 | Equations (1009,1734) can reduce 1975 to: % 15.21/4.02 | (387) $false % 15.21/4.02 | % 15.21/4.02 |-The branch is then unsatisfiable % 15.21/4.02 |-Branch two: % 15.21/4.02 | (1977) all_0_21_21 = all_0_22_22 % 15.21/4.02 | (1978) ~ (all_0_23_23 = all_0_24_24) | ~ (all_0_25_25 = all_0_26_26) | ~ (all_0_27_27 = all_0_98_98) | ( ~ (all_0_97_97 = e22) & ~ (all_0_98_98 = e22) & ~ (all_0_103_103 = e22)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e21) & ~ (all_0_103_103 = e21)) | ( ~ (all_0_97_97 = e20) & ~ (all_0_98_98 = e20) & ~ (all_0_103_103 = e20)) % 15.21/4.02 | % 15.21/4.02 +-Applying beta-rule and splitting (1978), into two cases. % 15.21/4.02 |-Branch one: % 15.21/4.02 | (1979) ~ (all_0_23_23 = all_0_24_24) % 15.21/4.02 | % 15.21/4.02 | Equations (1054,1451) can reduce 1979 to: % 15.21/4.02 | (387) $false % 15.21/4.02 | % 15.21/4.02 |-The branch is then unsatisfiable % 15.21/4.02 |-Branch two: % 15.21/4.02 | (1981) all_0_23_23 = all_0_24_24 % 15.21/4.02 | (1982) ~ (all_0_25_25 = all_0_26_26) | ~ (all_0_27_27 = all_0_98_98) | ( ~ (all_0_97_97 = e22) & ~ (all_0_98_98 = e22) & ~ (all_0_103_103 = e22)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e21) & ~ (all_0_103_103 = e21)) | ( ~ (all_0_97_97 = e20) & ~ (all_0_98_98 = e20) & ~ (all_0_103_103 = e20)) % 15.21/4.02 | % 15.21/4.02 +-Applying beta-rule and splitting (1982), into two cases. % 15.21/4.02 |-Branch one: % 15.21/4.02 | (1983) ~ (all_0_25_25 = all_0_26_26) % 15.21/4.02 | % 15.21/4.02 | Equations (1029,1450) can reduce 1983 to: % 15.21/4.02 | (387) $false % 15.21/4.02 | % 15.21/4.02 |-The branch is then unsatisfiable % 15.21/4.02 |-Branch two: % 15.21/4.02 | (1985) all_0_25_25 = all_0_26_26 % 15.21/4.02 | (1986) ~ (all_0_27_27 = all_0_98_98) | ( ~ (all_0_97_97 = e22) & ~ (all_0_98_98 = e22) & ~ (all_0_103_103 = e22)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e21) & ~ (all_0_103_103 = e21)) | ( ~ (all_0_97_97 = e20) & ~ (all_0_98_98 = e20) & ~ (all_0_103_103 = e20)) % 15.21/4.02 | % 15.21/4.02 +-Applying beta-rule and splitting (1986), into two cases. % 15.21/4.02 |-Branch one: % 15.21/4.02 | (1987) ~ (all_0_27_27 = all_0_98_98) % 15.21/4.02 | % 15.21/4.02 | Equations (1014,1004) can reduce 1987 to: % 15.21/4.02 | (387) $false % 15.21/4.02 | % 15.21/4.02 |-The branch is then unsatisfiable % 15.21/4.02 |-Branch two: % 15.21/4.02 | (368) all_0_27_27 = all_0_98_98 % 15.21/4.02 | (1990) ( ~ (all_0_97_97 = e22) & ~ (all_0_98_98 = e22) & ~ (all_0_103_103 = e22)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e21) & ~ (all_0_103_103 = e21)) | ( ~ (all_0_97_97 = e20) & ~ (all_0_98_98 = e20) & ~ (all_0_103_103 = e20)) % 15.21/4.02 | % 15.21/4.02 | Combining equations (1014,368) yields a new equation: % 15.21/4.02 | (1004) all_0_98_98 = e22 % 15.21/4.02 | % 15.21/4.02 +-Applying beta-rule and splitting (1990), into two cases. % 15.21/4.02 |-Branch one: % 15.21/4.02 | (1992) ( ~ (all_0_97_97 = e22) & ~ (all_0_98_98 = e22) & ~ (all_0_103_103 = e22)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e21) & ~ (all_0_103_103 = e21)) % 15.21/4.02 | % 15.21/4.02 +-Applying beta-rule and splitting (1992), into two cases. % 15.21/4.02 |-Branch one: % 15.21/4.02 | (1993) ~ (all_0_97_97 = e22) & ~ (all_0_98_98 = e22) & ~ (all_0_103_103 = e22) % 15.21/4.02 | % 15.21/4.02 | Applying alpha-rule on (1993) yields: % 15.21/4.02 | (1994) ~ (all_0_97_97 = e22) % 15.21/4.02 | (1995) ~ (all_0_98_98 = e22) % 15.21/4.02 | (413) ~ (all_0_103_103 = e22) % 15.21/4.02 | % 15.21/4.02 | Equations (1004) can reduce 1995 to: % 15.21/4.02 | (387) $false % 15.21/4.02 | % 15.21/4.02 |-The branch is then unsatisfiable % 15.21/4.02 |-Branch two: % 15.21/4.02 | (1998) ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e21) & ~ (all_0_103_103 = e21) % 15.21/4.02 | % 15.21/4.02 | Applying alpha-rule on (1998) yields: % 15.21/4.02 | (1999) ~ (all_0_97_97 = e21) % 15.21/4.02 | (2000) ~ (all_0_98_98 = e21) % 15.21/4.02 | (443) ~ (all_0_103_103 = e21) % 15.21/4.02 | % 15.21/4.02 | Equations (1030) can reduce 1999 to: % 15.21/4.02 | (387) $false % 15.21/4.02 | % 15.21/4.02 |-The branch is then unsatisfiable % 15.21/4.02 |-Branch two: % 15.21/4.02 | (2003) ~ (all_0_97_97 = e20) & ~ (all_0_98_98 = e20) & ~ (all_0_103_103 = e20) % 15.21/4.02 | % 15.21/4.02 | Applying alpha-rule on (2003) yields: % 15.21/4.02 | (2004) ~ (all_0_97_97 = e20) % 15.21/4.02 | (2005) ~ (all_0_98_98 = e20) % 15.21/4.03 | (643) ~ (all_0_103_103 = e20) % 15.21/4.03 | % 15.21/4.03 | Equations (718) can reduce 643 to: % 15.21/4.03 | (387) $false % 15.21/4.03 | % 15.21/4.03 |-The branch is then unsatisfiable % 15.21/4.03 |-Branch two: % 15.21/4.03 | (1318) ~ (all_0_120_120 = e11) % 15.21/4.03 | (1785) all_0_121_121 = e11 | all_0_122_122 = e11 % 15.21/4.03 | % 15.21/4.03 +-Applying beta-rule and splitting (1785), into two cases. % 15.21/4.03 |-Branch one: % 15.21/4.03 | (1148) all_0_121_121 = e11 % 15.21/4.03 | % 15.21/4.03 | Combining equations (1092,1148) yields a new equation: % 15.21/4.03 | (1349) e12 = e11 % 15.21/4.03 | % 15.21/4.03 | Simplifying 1349 yields: % 15.21/4.03 | (1150) e12 = e11 % 15.21/4.03 | % 15.21/4.03 | Equations (1150) can reduce 70 to: % 15.21/4.03 | (387) $false % 15.21/4.03 | % 15.21/4.03 |-The branch is then unsatisfiable % 15.21/4.03 |-Branch two: % 15.21/4.03 | (1657) ~ (all_0_121_121 = e11) % 15.21/4.03 | (1213) all_0_122_122 = e11 % 15.21/4.03 | % 15.21/4.03 | Combining equations (1198,1213) yields a new equation: % 15.21/4.03 | (1214) e11 = e10 % 15.21/4.03 | % 15.21/4.03 | Equations (1214) can reduce 253 to: % 15.21/4.03 | (387) $false % 15.21/4.03 | % 15.21/4.03 |-The branch is then unsatisfiable % 15.21/4.03 |-Branch two: % 15.21/4.03 | (1081) ~ (all_0_116_116 = e13) % 15.21/4.03 | (2019) all_0_123_123 = e13 | all_0_127_127 = e13 % 15.21/4.03 | % 15.21/4.03 +-Applying beta-rule and splitting (2019), into two cases. % 15.21/4.03 |-Branch one: % 15.21/4.03 | (1110) all_0_123_123 = e13 % 15.21/4.03 | % 15.21/4.03 | Combining equations (1163,1110) yields a new equation: % 15.21/4.03 | (1501) e13 = e12 % 15.21/4.03 | % 15.21/4.03 | Equations (1501) can reduce 297 to: % 15.21/4.03 | (387) $false % 15.21/4.03 | % 15.21/4.03 |-The branch is then unsatisfiable % 15.21/4.03 |-Branch two: % 15.21/4.03 | (1083) ~ (all_0_123_123 = e13) % 15.21/4.03 | (1080) all_0_127_127 = e13 % 15.21/4.03 | % 15.21/4.03 | Combining equations (1080,1077) yields a new equation: % 15.21/4.03 | (1360) e13 = e10 % 15.21/4.03 | % 15.21/4.03 | Simplifying 1360 yields: % 15.21/4.03 | (1361) e13 = e10 % 15.21/4.03 | % 15.21/4.03 | Equations (1361) can reduce 97 to: % 15.21/4.03 | (387) $false % 15.21/4.03 | % 15.21/4.03 |-The branch is then unsatisfiable % 15.21/4.03 |-Branch two: % 15.21/4.03 | (1211) ~ (all_0_118_118 = e11) % 15.21/4.03 | (1212) all_0_122_122 = e11 | all_0_125_125 = e11 % 15.21/4.03 | % 15.21/4.03 +-Applying beta-rule and splitting (1896), into two cases. % 15.21/4.03 |-Branch one: % 15.21/4.03 | (1370) all_0_125_125 = e13 % 15.21/4.03 | % 15.21/4.03 | Equations (1370) can reduce 1882 to: % 15.21/4.03 | (361) ~ (e13 = e11) % 15.21/4.03 | % 15.21/4.03 +-Applying beta-rule and splitting (1212), into two cases. % 15.21/4.03 |-Branch one: % 15.21/4.03 | (1213) all_0_122_122 = e11 % 15.21/4.03 | % 15.21/4.03 | Combining equations (1198,1213) yields a new equation: % 15.21/4.03 | (1214) e11 = e10 % 15.21/4.03 | % 15.21/4.03 | Equations (1214) can reduce 253 to: % 15.21/4.03 | (387) $false % 15.21/4.03 | % 15.21/4.03 |-The branch is then unsatisfiable % 15.21/4.03 |-Branch two: % 15.21/4.03 | (1194) ~ (all_0_122_122 = e11) % 15.21/4.03 | (1217) all_0_125_125 = e11 % 15.21/4.03 | % 15.21/4.03 | Combining equations (1370,1217) yields a new equation: % 15.21/4.03 | (1208) e13 = e11 % 15.21/4.03 | % 15.21/4.03 | Simplifying 1208 yields: % 15.21/4.03 | (1139) e13 = e11 % 15.21/4.03 | % 15.21/4.03 | Equations (1139) can reduce 361 to: % 15.21/4.03 | (387) $false % 15.21/4.03 | % 15.21/4.03 |-The branch is then unsatisfiable % 15.21/4.03 |-Branch two: % 15.21/4.03 | (1108) ~ (all_0_125_125 = e13) % 15.21/4.03 | (1217) all_0_125_125 = e11 % 15.21/4.03 | % 15.21/4.03 | Equations (1217) can reduce 1882 to: % 15.21/4.03 | (387) $false % 15.21/4.03 | % 15.21/4.03 |-The branch is then unsatisfiable % 15.21/4.03 |-Branch two: % 15.21/4.03 | (1468) ~ (all_0_123_123 = e12) % 15.21/4.03 | (2044) all_0_124_124 = e12 | all_0_126_126 = e12 % 15.21/4.03 | % 15.21/4.03 +-Applying beta-rule and splitting (2044), into two cases. % 15.21/4.03 |-Branch one: % 15.21/4.03 | (2045) all_0_124_124 = e12 % 15.21/4.03 | % 15.21/4.03 | Combining equations (1137,2045) yields a new equation: % 15.21/4.03 | (1150) e12 = e11 % 15.21/4.03 | % 15.21/4.03 | Equations (1150) can reduce 70 to: % 15.21/4.03 | (387) $false % 15.21/4.03 | % 15.21/4.03 |-The branch is then unsatisfiable % 15.21/4.03 |-Branch two: % 15.21/4.03 | (1867) ~ (all_0_124_124 = e12) % 15.21/4.03 | (1467) all_0_126_126 = e12 % 15.21/4.03 | % 15.21/4.03 | Combining equations (1172,1467) yields a new equation: % 15.21/4.03 | (1169) e12 = e10 % 15.21/4.03 | % 15.21/4.03 | Equations (1169) can reduce 130 to: % 15.21/4.03 | (387) $false % 15.21/4.03 | % 15.21/4.03 |-The branch is then unsatisfiable % 15.21/4.03 |-Branch two: % 15.21/4.03 | (1072) ~ (all_0_117_117 = e10) % 15.21/4.03 | (1485) all_0_121_121 = e10 | all_0_124_124 = e10 | all_0_128_128 = e10 % 15.21/4.03 | % 15.21/4.03 +-Applying beta-rule and splitting (195), into two cases. % 15.21/4.03 |-Branch one: % 15.21/4.03 | (1182) all_0_116_116 = e10 % 15.21/4.03 | % 15.21/4.03 | Equations (1182) can reduce 1321 to: % 15.21/4.03 | (387) $false % 15.21/4.03 | % 15.21/4.03 |-The branch is then unsatisfiable % 15.21/4.03 |-Branch two: % 15.21/4.03 | (1321) ~ (all_0_116_116 = e10) % 15.27/4.03 | (2057) all_0_117_117 = e10 | all_0_118_118 = e10 | all_0_119_119 = e10 % 15.27/4.03 | % 15.27/4.03 +-Applying beta-rule and splitting (83), into two cases. % 15.27/4.03 |-Branch one: % 15.27/4.03 | (1482) all_0_117_117 = e10 % 15.27/4.03 | % 15.27/4.03 | Equations (1482) can reduce 1072 to: % 15.27/4.03 | (387) $false % 15.27/4.03 | % 15.27/4.03 |-The branch is then unsatisfiable % 15.27/4.03 |-Branch two: % 15.27/4.03 | (1072) ~ (all_0_117_117 = e10) % 15.27/4.03 | (2061) all_0_117_117 = e13 | all_0_117_117 = e12 | all_0_117_117 = e11 % 15.27/4.03 | % 15.27/4.03 +-Applying beta-rule and splitting (2057), into two cases. % 15.27/4.03 |-Branch one: % 15.27/4.03 | (1482) all_0_117_117 = e10 % 15.27/4.03 | % 15.27/4.03 | Equations (1482) can reduce 1072 to: % 15.27/4.03 | (387) $false % 15.27/4.03 | % 15.27/4.03 |-The branch is then unsatisfiable % 15.27/4.03 |-Branch two: % 15.27/4.03 | (1072) ~ (all_0_117_117 = e10) % 15.27/4.03 | (2065) all_0_118_118 = e10 | all_0_119_119 = e10 % 15.27/4.03 | % 15.27/4.03 +-Applying beta-rule and splitting (2065), into two cases. % 15.27/4.03 |-Branch one: % 15.27/4.03 | (1694) all_0_118_118 = e10 % 15.27/4.03 | % 15.27/4.03 | Equations (1694) can reduce 1457 to: % 15.27/4.03 | (387) $false % 15.27/4.03 | % 15.27/4.03 |-The branch is then unsatisfiable % 15.27/4.03 |-Branch two: % 15.27/4.03 | (1457) ~ (all_0_118_118 = e10) % 15.27/4.03 | (1168) all_0_119_119 = e10 % 15.27/4.03 | % 15.27/4.03 | Combining equations (1158,1168) yields a new equation: % 15.27/4.03 | (1355) e12 = e10 % 15.27/4.03 | % 15.27/4.03 | Simplifying 1355 yields: % 15.27/4.03 | (1169) e12 = e10 % 15.27/4.03 | % 15.27/4.03 | Equations (1169) can reduce 130 to: % 15.27/4.03 | (387) $false % 15.27/4.03 | % 15.27/4.03 |-The branch is then unsatisfiable % 15.27/4.03 |-Branch two: % 15.27/4.03 | (1315) ~ (all_0_122_122 = e10) % 15.27/4.03 | (1213) all_0_122_122 = e11 % 15.27/4.03 | % 15.27/4.03 | Equations (1213) can reduce 248 to: % 15.27/4.03 | (1211) ~ (all_0_118_118 = e11) % 15.27/4.03 | % 15.27/4.03 | Equations (1213) can reduce 86 to: % 15.27/4.03 | (1881) ~ (all_0_125_125 = e11) % 15.27/4.03 | % 15.27/4.03 | Simplifying 1881 yields: % 15.27/4.03 | (1882) ~ (all_0_125_125 = e11) % 15.27/4.03 | % 15.27/4.03 | Equations (1213) can reduce 1315 to: % 15.27/4.03 | (253) ~ (e11 = e10) % 15.27/4.03 | % 15.27/4.03 +-Applying beta-rule and splitting (352), into two cases. % 15.27/4.03 |-Branch one: % 15.27/4.03 | (1188) all_0_120_120 = e10 % 15.27/4.03 | % 15.27/4.04 | Equations (1188) can reduce 1186 to: % 15.27/4.04 | (387) $false % 15.27/4.04 | % 15.27/4.04 |-The branch is then unsatisfiable % 15.27/4.04 |-Branch two: % 15.27/4.04 | (1186) ~ (all_0_120_120 = e10) % 15.27/4.04 | (1680) all_0_121_121 = e10 | all_0_122_122 = e10 % 15.27/4.04 | % 15.27/4.04 +-Applying beta-rule and splitting (1680), into two cases. % 15.27/4.04 |-Branch one: % 15.27/4.04 | (1663) all_0_121_121 = e10 % 15.27/4.04 | % 15.27/4.04 | Equations (1663) can reduce 40 to: % 15.27/4.04 | (1186) ~ (all_0_120_120 = e10) % 15.27/4.04 | % 15.27/4.04 | Equations (1663) can reduce 173 to: % 15.27/4.04 | (1750) ~ (all_0_124_124 = e10) % 15.27/4.04 | % 15.27/4.04 | Simplifying 1750 yields: % 15.27/4.04 | (1074) ~ (all_0_124_124 = e10) % 15.27/4.04 | % 15.27/4.04 +-Applying beta-rule and splitting (293), into two cases. % 15.27/4.04 |-Branch one: % 15.27/4.04 | (1087) all_0_116_116 = e13 & ( ~ (all_0_125_125 = e13) | all_0_123_123 = e11) % 15.27/4.04 | % 15.27/4.04 | Applying alpha-rule on (1087) yields: % 15.27/4.04 | (1088) all_0_116_116 = e13 % 15.27/4.04 | (1089) ~ (all_0_125_125 = e13) | all_0_123_123 = e11 % 15.27/4.04 | % 15.27/4.04 | Equations (1088) can reduce 178 to: % 15.27/4.04 | (1389) ~ (all_0_118_118 = e13) % 15.27/4.04 | % 15.27/4.04 | Simplifying 1389 yields: % 15.27/4.04 | (1385) ~ (all_0_118_118 = e13) % 15.27/4.04 | % 15.27/4.04 +-Applying beta-rule and splitting (102), into two cases. % 15.27/4.04 |-Branch one: % 15.27/4.04 | (1106) all_0_118_118 = e13 % 15.27/4.04 | % 15.27/4.04 | Equations (1106) can reduce 1385 to: % 15.27/4.04 | (387) $false % 15.27/4.04 | % 15.27/4.04 |-The branch is then unsatisfiable % 15.27/4.04 |-Branch two: % 15.27/4.04 | (1385) ~ (all_0_118_118 = e13) % 15.27/4.04 | (1370) all_0_125_125 = e13 % 15.27/4.04 | % 15.27/4.04 | Equations (1370) can reduce 163 to: % 15.27/4.04 | (1385) ~ (all_0_118_118 = e13) % 15.27/4.04 | % 15.27/4.04 | Equations (1370) can reduce 1882 to: % 15.27/4.04 | (361) ~ (e13 = e11) % 15.27/4.04 | % 15.27/4.04 +-Applying beta-rule and splitting (63), into two cases. % 15.27/4.04 |-Branch one: % 15.27/4.04 | (1160) all_0_120_120 = e12 % 15.27/4.04 | % 15.27/4.04 | Equations (1160) can reduce 1186 to: % 15.27/4.04 | (130) ~ (e12 = e10) % 15.27/4.04 | % 15.27/4.04 +-Applying beta-rule and splitting (58), into two cases. % 15.27/4.04 |-Branch one: % 15.27/4.04 | (1155) all_0_117_117 = e12 % 15.27/4.04 | % 15.27/4.04 | Equations (1155) can reduce 1094 to: % 15.27/4.04 | (387) $false % 15.27/4.04 | % 15.27/4.04 |-The branch is then unsatisfiable % 15.27/4.04 |-Branch two: % 15.27/4.04 | (1094) ~ (all_0_117_117 = e12) % 15.27/4.04 | (1801) all_0_121_121 = e12 | all_0_124_124 = e12 % 15.27/4.04 | % 15.27/4.04 +-Applying beta-rule and splitting (274), into two cases. % 15.27/4.04 |-Branch one: % 15.27/4.04 | (1354) all_0_123_123 = e10 % 15.27/4.04 | % 15.27/4.04 | Equations (1354) can reduce 1358 to: % 15.27/4.04 | (387) $false % 15.27/4.04 | % 15.27/4.04 |-The branch is then unsatisfiable % 15.27/4.04 |-Branch two: % 15.27/4.04 | (1358) ~ (all_0_123_123 = e10) % 15.27/4.04 | (2107) all_0_123_123 = e13 | all_0_123_123 = e12 | all_0_123_123 = e11 % 15.27/4.04 | % 15.27/4.04 +-Applying beta-rule and splitting (39), into two cases. % 15.27/4.04 |-Branch one: % 15.27/4.04 | (1178) all_0_116_116 = e11 % 15.27/4.04 | % 15.27/4.04 | Combining equations (1178,1088) yields a new equation: % 15.27/4.04 | (1139) e13 = e11 % 15.27/4.04 | % 15.27/4.04 | Equations (1139) can reduce 361 to: % 15.27/4.04 | (387) $false % 15.27/4.04 | % 15.27/4.04 |-The branch is then unsatisfiable % 15.27/4.04 |-Branch two: % 15.27/4.04 | (1149) ~ (all_0_116_116 = e11) % 15.27/4.04 | (1181) all_0_117_117 = e11 | all_0_118_118 = e11 % 15.27/4.04 | % 15.27/4.04 | Equations (1088) can reduce 1149 to: % 15.27/4.04 | (361) ~ (e13 = e11) % 15.27/4.04 | % 15.27/4.04 +-Applying beta-rule and splitting (204), into two cases. % 15.27/4.04 |-Branch one: % 15.27/4.04 | (1178) all_0_116_116 = e11 % 15.27/4.04 | % 15.27/4.04 | Combining equations (1178,1088) yields a new equation: % 15.27/4.04 | (1139) e13 = e11 % 15.27/4.04 | % 15.27/4.04 | Equations (1139) can reduce 361 to: % 15.27/4.04 | (387) $false % 15.27/4.04 | % 15.27/4.04 |-The branch is then unsatisfiable % 15.27/4.04 |-Branch two: % 15.27/4.04 | (1149) ~ (all_0_116_116 = e11) % 15.27/4.04 | (1342) all_0_120_120 = e11 | all_0_123_123 = e11 % 15.27/4.04 | % 15.27/4.04 +-Applying beta-rule and splitting (1181), into two cases. % 15.27/4.04 |-Branch one: % 15.27/4.04 | (1202) all_0_117_117 = e11 % 15.27/4.04 | % 15.27/4.04 | Equations (1202) can reduce 1094 to: % 15.27/4.04 | (1336) ~ (e12 = e11) % 15.27/4.04 | % 15.27/4.04 | Simplifying 1336 yields: % 15.27/4.04 | (70) ~ (e12 = e11) % 15.27/4.04 | % 15.27/4.04 +-Applying beta-rule and splitting (21), into two cases. % 15.27/4.04 |-Branch one: % 15.27/4.04 | (1348) all_0_123_123 = e11 % 15.27/4.04 | % 15.27/4.04 | Equations (1348) can reduce 116 to: % 15.27/4.04 | (2123) ~ (all_0_124_124 = e11) % 15.27/4.04 | % 15.27/4.04 | Simplifying 2123 yields: % 15.27/4.04 | (2124) ~ (all_0_124_124 = e11) % 15.27/4.04 | % 15.27/4.04 | Equations (1348) can reduce 1358 to: % 15.27/4.04 | (253) ~ (e11 = e10) % 15.27/4.04 | % 15.27/4.04 +-Applying beta-rule and splitting (1801), into two cases. % 15.27/4.04 |-Branch one: % 15.27/4.04 | (1092) all_0_121_121 = e12 % 15.27/4.04 | % 15.27/4.04 | Combining equations (1663,1092) yields a new equation: % 15.27/4.04 | (1169) e12 = e10 % 15.27/4.04 | % 15.27/4.04 | Equations (1169) can reduce 130 to: % 15.27/4.04 | (387) $false % 15.27/4.04 | % 15.27/4.04 |-The branch is then unsatisfiable % 15.27/4.04 |-Branch two: % 15.27/4.04 | (2129) ~ (all_0_121_121 = e12) % 15.27/4.04 | (2045) all_0_124_124 = e12 % 15.27/4.04 | % 15.27/4.04 | Equations (2045) can reduce 2124 to: % 15.27/4.04 | (70) ~ (e12 = e11) % 15.27/4.04 | % 15.27/4.04 | Equations (2045) can reduce 1074 to: % 15.27/4.04 | (130) ~ (e12 = e10) % 15.27/4.04 | % 15.27/4.04 +-Applying beta-rule and splitting (362), into two cases. % 15.27/4.04 |-Branch one: % 15.27/4.04 | (1131) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) | (all_0_118_118 = e13 & ~ (all_0_116_116 = e11)) | (all_0_120_120 = e12 & all_0_125_125 = e13 & ~ (all_0_123_123 = e11)) % 15.27/4.04 | % 15.27/4.04 +-Applying beta-rule and splitting (1131), into two cases. % 15.27/4.04 |-Branch one: % 15.27/4.04 | (1132) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) | (all_0_118_118 = e13 & ~ (all_0_116_116 = e11)) % 15.27/4.04 | % 15.27/4.04 +-Applying beta-rule and splitting (1132), into two cases. % 15.27/4.04 |-Branch one: % 15.27/4.04 | (1133) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) % 15.27/4.04 | % 15.27/4.04 +-Applying beta-rule and splitting (1133), into two cases. % 15.27/4.04 |-Branch one: % 15.27/4.04 | (1134) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) % 15.27/4.04 | % 15.27/4.04 +-Applying beta-rule and splitting (1134), into two cases. % 15.27/4.04 |-Branch one: % 15.27/4.04 | (1135) all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13) % 15.27/4.04 | % 15.27/4.04 | Applying alpha-rule on (1135) yields: % 15.27/4.04 | (1123) all_0_116_116 = e12 % 15.27/4.04 | (1137) all_0_124_124 = e11 % 15.27/4.04 | (1115) ~ (all_0_117_117 = e13) % 15.27/4.04 | % 15.27/4.04 | Combining equations (2045,1137) yields a new equation: % 15.27/4.04 | (1349) e12 = e11 % 15.27/4.04 | % 15.27/4.04 | Simplifying 1349 yields: % 15.27/4.04 | (1150) e12 = e11 % 15.27/4.04 | % 15.27/4.04 | Equations (1150) can reduce 70 to: % 15.27/4.04 | (387) $false % 15.27/4.04 | % 15.27/4.04 |-The branch is then unsatisfiable % 15.27/4.04 |-Branch two: % 15.27/4.04 | (1141) all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13) % 15.27/4.04 | % 15.27/4.04 | Applying alpha-rule on (1141) yields: % 15.27/4.04 | (1123) all_0_116_116 = e12 % 15.27/4.04 | (1071) all_0_128_128 = e10 % 15.27/4.04 | (1115) ~ (all_0_117_117 = e13) % 15.27/4.04 | % 15.27/4.04 | Combining equations (1123,1088) yields a new equation: % 15.27/4.04 | (1501) e13 = e12 % 15.27/4.04 | % 15.27/4.04 | Combining equations (1071,1432) yields a new equation: % 15.27/4.04 | (1361) e13 = e10 % 15.27/4.04 | % 15.27/4.04 | Combining equations (1361,1501) yields a new equation: % 15.27/4.04 | (1169) e12 = e10 % 15.27/4.04 | % 15.27/4.04 | Equations (1169) can reduce 130 to: % 15.27/4.04 | (387) $false % 15.27/4.04 | % 15.27/4.04 |-The branch is then unsatisfiable % 15.27/4.04 |-Branch two: % 15.27/4.04 | (1146) all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11) % 15.27/4.04 | % 15.27/4.04 | Applying alpha-rule on (1146) yields: % 15.27/4.04 | (1106) all_0_118_118 = e13 % 15.27/4.04 | (1148) all_0_121_121 = e11 % 15.27/4.04 | (1149) ~ (all_0_116_116 = e11) % 15.27/4.04 | % 15.27/4.04 | Combining equations (1148,1663) yields a new equation: % 15.27/4.04 | (1301) e11 = e10 % 15.27/4.04 | % 15.27/4.04 | Simplifying 1301 yields: % 15.27/4.04 | (1214) e11 = e10 % 15.27/4.04 | % 15.27/4.04 | Equations (1214) can reduce 253 to: % 15.27/4.04 | (387) $false % 15.27/4.04 | % 15.27/4.04 |-The branch is then unsatisfiable % 15.27/4.04 |-Branch two: % 15.27/4.04 | (1152) all_0_118_118 = e13 & ~ (all_0_116_116 = e11) % 15.27/4.04 | % 15.27/4.04 | Applying alpha-rule on (1152) yields: % 15.27/4.04 | (1106) all_0_118_118 = e13 % 15.27/4.04 | (1149) ~ (all_0_116_116 = e11) % 15.27/4.04 | % 15.27/4.04 | Equations (1106) can reduce 1385 to: % 15.27/4.04 | (387) $false % 15.27/4.04 | % 15.27/4.04 |-The branch is then unsatisfiable % 15.27/4.04 |-Branch two: % 15.27/4.04 | (1368) all_0_120_120 = e12 & all_0_125_125 = e13 & ~ (all_0_123_123 = e11) % 15.27/4.04 | % 15.27/4.04 | Applying alpha-rule on (1368) yields: % 15.27/4.04 | (1160) all_0_120_120 = e12 % 15.27/4.04 | (1370) all_0_125_125 = e13 % 15.27/4.04 | (1371) ~ (all_0_123_123 = e11) % 15.27/4.04 | % 15.27/4.04 | Equations (1348) can reduce 1371 to: % 15.27/4.04 | (387) $false % 15.27/4.04 | % 15.27/4.04 |-The branch is then unsatisfiable % 15.27/4.04 |-Branch two: % 15.27/4.04 | (1373) all_0_125_125 = e13 & all_0_127_127 = e10 & ~ (all_0_123_123 = e11) % 15.27/4.04 | % 15.27/4.04 | Applying alpha-rule on (1373) yields: % 15.27/4.04 | (1370) all_0_125_125 = e13 % 15.27/4.04 | (1077) all_0_127_127 = e10 % 15.27/4.04 | (1371) ~ (all_0_123_123 = e11) % 15.27/4.04 | % 15.27/4.05 | Equations (1348) can reduce 1371 to: % 15.27/4.05 | (387) $false % 15.27/4.05 | % 15.27/4.05 |-The branch is then unsatisfiable % 15.27/4.05 |-Branch two: % 15.27/4.05 | (1371) ~ (all_0_123_123 = e11) % 15.27/4.05 | (2174) all_0_124_124 = e11 | all_0_125_125 = e11 % 15.27/4.05 | % 15.27/4.05 +-Applying beta-rule and splitting (1342), into two cases. % 15.27/4.05 |-Branch one: % 15.27/4.05 | (1192) all_0_120_120 = e11 % 15.27/4.05 | % 15.27/4.05 | Combining equations (1192,1160) yields a new equation: % 15.27/4.05 | (1150) e12 = e11 % 15.27/4.05 | % 15.27/4.05 | Equations (1150) can reduce 70 to: % 15.27/4.05 | (387) $false % 15.27/4.05 | % 15.27/4.05 |-The branch is then unsatisfiable % 15.27/4.05 |-Branch two: % 15.27/4.05 | (1318) ~ (all_0_120_120 = e11) % 15.27/4.05 | (1348) all_0_123_123 = e11 % 15.27/4.05 | % 15.27/4.05 | Equations (1348) can reduce 1371 to: % 15.27/4.05 | (387) $false % 15.27/4.05 | % 15.27/4.05 |-The branch is then unsatisfiable % 15.27/4.05 |-Branch two: % 15.27/4.05 | (1292) ~ (all_0_117_117 = e11) % 15.27/4.05 | (1207) all_0_118_118 = e11 % 15.27/4.05 | % 15.27/4.05 | Equations (1207) can reduce 1211 to: % 15.27/4.05 | (387) $false % 15.27/4.05 | % 15.27/4.05 |-The branch is then unsatisfiable % 15.27/4.05 |-Branch two: % 15.27/4.05 | (1095) ~ (all_0_120_120 = e12) % 15.27/4.05 | (1092) all_0_121_121 = e12 % 15.27/4.05 | % 15.27/4.05 | Combining equations (1663,1092) yields a new equation: % 15.27/4.05 | (1169) e12 = e10 % 15.27/4.05 | % 15.27/4.05 | Equations (1169) can reduce 130 to: % 15.27/4.05 | (387) $false % 15.27/4.05 | % 15.27/4.05 |-The branch is then unsatisfiable % 15.27/4.05 |-Branch two: % 15.27/4.05 | (1091) all_0_121_121 = e12 & ( ~ (all_0_116_116 = e12) | all_0_117_117 = e13) % 15.27/4.05 | % 15.27/4.05 | Applying alpha-rule on (1091) yields: % 15.27/4.05 | (1092) all_0_121_121 = e12 % 15.27/4.05 | (1093) ~ (all_0_116_116 = e12) | all_0_117_117 = e13 % 15.27/4.05 | % 15.27/4.05 | Combining equations (1092,1663) yields a new equation: % 15.27/4.05 | (1355) e12 = e10 % 15.27/4.05 | % 15.27/4.05 | Simplifying 1355 yields: % 15.27/4.05 | (1169) e12 = e10 % 15.27/4.05 | % 15.27/4.05 | Equations (1169) can reduce 130 to: % 15.27/4.05 | (387) $false % 15.27/4.05 | % 15.27/4.05 |-The branch is then unsatisfiable % 15.27/4.05 |-Branch two: % 15.27/4.05 | (1073) ~ (all_0_121_121 = e10) % 15.27/4.05 | (1198) all_0_122_122 = e10 % 15.27/4.05 | % 15.27/4.05 | Combining equations (1198,1213) yields a new equation: % 15.27/4.05 | (1214) e11 = e10 % 15.27/4.05 | % 15.27/4.05 | Equations (1214) can reduce 253 to: % 15.27/4.05 | (387) $false % 15.27/4.05 | % 15.27/4.05 |-The branch is then unsatisfiable % 15.27/4.05 |-Branch two: % 15.27/4.05 | (1075) ~ (all_0_127_127 = e10) % 15.27/4.05 | (1080) all_0_127_127 = e13 % 15.27/4.05 | % 15.27/4.05 | Equations (1080) can reduce 1440 to: % 15.27/4.05 | (387) $false % 15.27/4.05 | % 15.27/4.05 |-The branch is then unsatisfiable % 15.27/4.05 |-Branch two: % 15.27/4.05 | (394) ~ (all_0_111_111 = e23) % 15.27/4.05 | (393) all_0_115_115 = e23 % 15.27/4.05 | % 15.27/4.05 | Combining equations (393,432) yields a new equation: % 15.27/4.05 | (436) e23 = e20 % 15.27/4.05 | % 15.27/4.05 | Simplifying 436 yields: % 15.27/4.05 | (437) e23 = e20 % 15.27/4.05 | % 15.27/4.05 | Equations (437) can reduce 235 to: % 15.27/4.05 | (387) $false % 15.27/4.05 | % 15.27/4.05 |-The branch is then unsatisfiable % 15.27/4.05 |-Branch two: % 15.27/4.05 | (591) ~ (all_0_104_104 = e21) % 15.27/4.05 | (816) all_0_105_105 = e21 % 15.27/4.05 | % 15.27/4.05 | Combining equations (441,816) yields a new equation: % 15.27/4.05 | (599) e23 = e21 % 15.27/4.05 | % 15.27/4.05 | Simplifying 599 yields: % 15.27/4.05 | (578) e23 = e21 % 15.27/4.05 | % 15.27/4.05 | Equations (578) can reduce 123 to: % 15.27/4.05 | (387) $false % 15.27/4.05 | % 15.27/4.05 |-The branch is then unsatisfiable % 15.27/4.05 |-Branch two: % 15.27/4.05 | (2211) ~ (all_0_112_112 = e21) % 15.27/4.05 | (2212) all_0_112_112 = e23 | all_0_112_112 = e20 % 15.27/4.05 | % 15.27/4.05 +-Applying beta-rule and splitting (2212), into two cases. % 15.27/4.05 |-Branch one: % 15.27/4.05 | (402) all_0_112_112 = e23 % 15.27/4.05 | % 15.27/4.05 | Equations (402) can reduce 405 to: % 15.27/4.05 | (387) $false % 15.27/4.05 | % 15.27/4.05 |-The branch is then unsatisfiable % 15.27/4.05 |-Branch two: % 15.27/4.05 | (405) ~ (all_0_112_112 = e23) % 15.27/4.05 | (557) all_0_112_112 = e20 % 15.27/4.05 | % 15.27/4.05 | Equations (557) can reduce 621 to: % 15.27/4.05 | (387) $false % 15.27/4.05 | % 15.27/4.05 |-The branch is then unsatisfiable % 15.27/4.05 |-Branch two: % 15.27/4.05 | (643) ~ (all_0_103_103 = e20) % 15.27/4.05 | (409) all_0_103_103 = e22 % 15.27/4.05 | % 15.27/4.05 | Equations (409) can reduce 413 to: % 15.27/4.05 | (387) $false % 15.27/4.05 | % 15.27/4.05 |-The branch is then unsatisfiable % 15.27/4.05 |-Branch two: % 15.27/4.05 | (449) all_0_107_107 = e22 & all_0_112_112 = e23 & ~ (all_0_110_110 = e21) % 15.27/4.05 | % 15.27/4.05 | Applying alpha-rule on (449) yields: % 15.27/4.05 | (415) all_0_107_107 = e22 % 15.27/4.05 | (402) all_0_112_112 = e23 % 15.27/4.05 | (452) ~ (all_0_110_110 = e21) % 15.27/4.05 | % 15.27/4.05 | Combining equations (758,415) yields a new equation: % 15.27/4.05 | (461) e22 = e21 % 15.27/4.05 | % 15.27/4.05 | Equations (461) can reduce 300 to: % 15.27/4.05 | (387) $false % 15.27/4.05 | % 15.27/4.05 |-The branch is then unsatisfiable % 15.27/4.05 |-Branch two: % 15.27/4.05 | (454) all_0_112_112 = e23 & all_0_114_114 = e20 & ~ (all_0_110_110 = e21) % 15.27/4.05 | % 15.27/4.05 | Applying alpha-rule on (454) yields: % 15.27/4.05 | (402) all_0_112_112 = e23 % 15.27/4.05 | (389) all_0_114_114 = e20 % 15.27/4.05 | (452) ~ (all_0_110_110 = e21) % 15.27/4.05 | % 15.27/4.05 | Combining equations (386,389) yields a new equation: % 15.27/4.05 | (436) e23 = e20 % 15.27/4.05 | % 15.27/4.05 | Simplifying 436 yields: % 15.27/4.05 | (437) e23 = e20 % 15.27/4.05 | % 15.27/4.05 | Equations (437) can reduce 235 to: % 15.27/4.05 | (387) $false % 15.27/4.05 | % 15.27/4.05 |-The branch is then unsatisfiable % 15.27/4.05 |-Branch two: % 15.27/4.05 | (385) ~ (all_0_114_114 = e23) % 15.27/4.05 | (393) all_0_115_115 = e23 % 15.27/4.05 | % 15.27/4.05 | Equations (393) can reduce 148 to: % 15.27/4.05 | (385) ~ (all_0_114_114 = e23) % 15.27/4.05 | % 15.27/4.05 | Equations (393) can reduce 42 to: % 15.27/4.05 | (182) ~ (e23 = e22) % 15.27/4.05 | % 15.27/4.05 | From (393) and (136) follows: % 15.27/4.05 | (2238) op2(e20, e22) = e23 % 15.27/4.05 | % 15.27/4.05 +-Applying beta-rule and splitting (221), into two cases. % 15.27/4.05 |-Branch one: % 15.27/4.05 | (395) all_0_110_110 = e23 % 15.27/4.05 | % 15.27/4.05 | Combining equations (395,460) yields a new equation: % 15.27/4.05 | (410) e23 = e22 % 15.27/4.05 | % 15.27/4.05 | Simplifying 410 yields: % 15.27/4.05 | (411) e23 = e22 % 15.27/4.05 | % 15.27/4.05 | Equations (411) can reduce 182 to: % 15.27/4.05 | (387) $false % 15.27/4.05 | % 15.27/4.05 |-The branch is then unsatisfiable % 15.27/4.05 |-Branch two: % 15.27/4.05 | (383) ~ (all_0_110_110 = e23) % 15.27/4.05 | (398) all_0_111_111 = e23 | all_0_112_112 = e23 % 15.27/4.05 | % 15.27/4.05 | Equations (460) can reduce 383 to: % 15.27/4.05 | (416) ~ (e23 = e22) % 15.27/4.05 | % 15.27/4.05 | Simplifying 416 yields: % 15.27/4.05 | (182) ~ (e23 = e22) % 15.27/4.05 | % 15.27/4.05 +-Applying beta-rule and splitting (170), into two cases. % 15.27/4.05 |-Branch one: % 15.27/4.05 | (389) all_0_114_114 = e20 % 15.27/4.05 | % 15.27/4.05 | Equations (389) can reduce 385 to: % 15.27/4.05 | (533) ~ (e23 = e20) % 15.27/4.05 | % 15.27/4.05 | Simplifying 533 yields: % 15.27/4.05 | (235) ~ (e23 = e20) % 15.27/4.05 | % 15.27/4.05 | Equations (389) can reduce 41 to: % 15.27/4.05 | (525) ~ (e22 = e20) % 15.27/4.05 | % 15.27/4.05 | Simplifying 525 yields: % 15.27/4.05 | (241) ~ (e22 = e20) % 15.27/4.05 | % 15.27/4.05 | From (389) and (279) follows: % 15.27/4.05 | (2252) op2(e20, e23) = e20 % 15.27/4.05 | % 15.27/4.05 +-Applying beta-rule and splitting (249), into two cases. % 15.27/4.05 |-Branch one: % 15.27/4.05 | (378) all_0_103_103 = e23 % 15.27/4.05 | % 15.27/4.05 | Equations (378) can reduce 189 to: % 15.27/4.05 | (786) ~ (all_0_105_105 = e23) % 15.27/4.05 | % 15.27/4.05 | Simplifying 786 yields: % 15.27/4.05 | (403) ~ (all_0_105_105 = e23) % 15.27/4.05 | % 15.27/4.05 | From (378)(378) and (321) follows: % 15.27/4.05 | (2256) op2(e23, e23) = all_0_19_19 % 15.27/4.05 | % 15.27/4.05 | From (378) and (117) follows: % 15.27/4.05 | (2257) op2(e23, e23) = all_0_21_21 % 15.27/4.05 | % 15.27/4.05 | From (378) and (226) follows: % 15.27/4.05 | (2258) op2(e23, e23) = all_0_98_98 % 15.27/4.05 | % 15.27/4.05 | From (378) and (118) follows: % 15.27/4.05 | (2259) op2(e23, e23) = e23 % 15.27/4.05 | % 15.27/4.05 +-Applying beta-rule and splitting (26), into two cases. % 15.27/4.05 |-Branch one: % 15.27/4.05 | (441) all_0_105_105 = e23 % 15.27/4.05 | % 15.27/4.05 | Equations (441) can reduce 403 to: % 15.27/4.05 | (387) $false % 15.27/4.05 | % 15.27/4.05 |-The branch is then unsatisfiable % 15.27/4.05 |-Branch two: % 15.27/4.05 | (403) ~ (all_0_105_105 = e23) % 15.27/4.05 | (402) all_0_112_112 = e23 % 15.27/4.05 | % 15.27/4.05 | Equations (402) can reduce 348 to: % 15.27/4.05 | (403) ~ (all_0_105_105 = e23) % 15.27/4.05 | % 15.27/4.05 | Equations (402) can reduce 621 to: % 15.27/4.05 | (235) ~ (e23 = e20) % 15.27/4.05 | % 15.27/4.05 | From (402) and (313) follows: % 15.27/4.05 | (2266) h2(e11) = e23 % 15.27/4.05 | % 15.27/4.05 | From (402) and (55) follows: % 15.27/4.05 | (2267) op2(all_0_101_101, e23) = all_0_60_60 % 15.27/4.05 | % 15.27/4.05 | From (402) and (331) follows: % 15.27/4.05 | (2268) op2(all_0_102_102, e23) = all_0_68_68 % 15.27/4.05 | % 15.27/4.05 | From (402) and (6) follows: % 15.27/4.05 | (2269) op2(e23, all_0_101_101) = all_0_71_71 % 15.27/4.05 | % 15.27/4.05 | From (402) and (213) follows: % 15.27/4.05 | (2270) op2(e23, all_0_102_102) = all_0_73_73 % 15.27/4.05 | % 15.27/4.05 | From (402)(402) and (34) follows: % 15.27/4.05 | (2271) op2(e23, e23) = all_0_75_75 % 15.27/4.05 | % 15.27/4.05 | From (402) and (167) follows: % 15.27/4.05 | (2272) op2(e23, e21) = all_0_77_77 % 15.27/4.05 | % 15.27/4.05 | From (402) and (10) follows: % 15.27/4.05 | (2273) op2(e21, e23) = all_0_102_102 % 15.27/4.05 | % 15.27/4.05 +-Applying beta-rule and splitting (244), into two cases. % 15.27/4.05 |-Branch one: % 15.27/4.05 | (816) all_0_105_105 = e21 % 15.27/4.05 | % 15.27/4.05 | Equations (816) can reduce 403 to: % 15.27/4.05 | (572) ~ (e23 = e21) % 15.27/4.05 | % 15.27/4.05 | Simplifying 572 yields: % 15.27/4.05 | (123) ~ (e23 = e21) % 15.27/4.05 | % 15.27/4.05 | Equations (816) can reduce 169 to: % 15.27/4.05 | (658) ~ (e22 = e21) % 15.27/4.05 | % 15.27/4.05 | Simplifying 658 yields: % 15.27/4.05 | (300) ~ (e22 = e21) % 15.27/4.05 | % 15.27/4.05 | From (816) and (192) follows: % 15.27/4.06 | (2279) op2(e23, e21) = e21 % 15.27/4.06 | % 15.27/4.06 +-Applying beta-rule and splitting (98), into two cases. % 15.27/4.06 |-Branch one: % 15.27/4.06 | (718) all_0_103_103 = e20 % 15.27/4.06 | % 15.27/4.06 | Combining equations (378,718) yields a new equation: % 15.27/4.06 | (436) e23 = e20 % 15.27/4.06 | % 15.27/4.06 | Simplifying 436 yields: % 15.27/4.06 | (437) e23 = e20 % 15.27/4.06 | % 15.27/4.06 | Equations (437) can reduce 235 to: % 15.27/4.06 | (387) $false % 15.27/4.06 | % 15.27/4.06 |-The branch is then unsatisfiable % 15.27/4.06 |-Branch two: % 15.27/4.06 | (643) ~ (all_0_103_103 = e20) % 15.27/4.06 | (2285) all_0_104_104 = e20 | all_0_105_105 = e20 | all_0_106_106 = e20 % 15.27/4.06 | % 15.27/4.06 | Equations (378) can reduce 643 to: % 15.27/4.06 | (235) ~ (e23 = e20) % 15.27/4.06 | % 15.27/4.06 +-Applying beta-rule and splitting (8), into two cases. % 15.27/4.06 |-Branch one: % 15.27/4.06 | (408) all_0_110_110 = e21 % 15.27/4.06 | % 15.27/4.06 | Combining equations (460,408) yields a new equation: % 15.27/4.06 | (594) e22 = e21 % 15.27/4.06 | % 15.27/4.06 | Simplifying 594 yields: % 15.27/4.06 | (461) e22 = e21 % 15.27/4.06 | % 15.27/4.06 | Equations (461) can reduce 300 to: % 15.27/4.06 | (387) $false % 15.27/4.06 | % 15.27/4.06 |-The branch is then unsatisfiable % 15.27/4.06 |-Branch two: % 15.27/4.06 | (452) ~ (all_0_110_110 = e21) % 15.27/4.06 | (2292) all_0_111_111 = e21 | all_0_112_112 = e21 % 15.27/4.06 | % 15.27/4.06 +-Applying beta-rule and splitting (187), into two cases. % 15.27/4.06 |-Branch one: % 15.27/4.06 | (2293) all_0_104_104 = e20 % 15.27/4.06 | % 15.27/4.06 | From (2293) and (304) follows: % 15.27/4.06 | (2294) op2(e23, e22) = e20 % 15.27/4.06 | % 15.27/4.06 +-Applying beta-rule and splitting (2292), into two cases. % 15.27/4.06 |-Branch one: % 15.27/4.06 | (425) all_0_111_111 = e21 % 15.27/4.06 | % 15.27/4.06 | From (425) and (166) follows: % 15.27/4.06 | (2296) op2(e21, e22) = e21 % 15.27/4.06 | % 15.27/4.06 | Instantiating formula (344) with e23, e23, all_0_21_21, all_0_19_19 and discharging atoms op2(e23, e23) = all_0_19_19, op2(e23, e23) = all_0_21_21, yields: % 15.27/4.06 | (2297) all_0_19_19 = all_0_21_21 % 15.27/4.06 | % 15.27/4.06 | Instantiating formula (344) with e23, e23, all_0_75_75, all_0_21_21 and discharging atoms op2(e23, e23) = all_0_21_21, op2(e23, e23) = all_0_75_75, yields: % 15.27/4.06 | (2298) all_0_21_21 = all_0_75_75 % 15.27/4.06 | % 15.27/4.06 | Instantiating formula (344) with e23, e23, all_0_98_98, all_0_75_75 and discharging atoms op2(e23, e23) = all_0_75_75, op2(e23, e23) = all_0_98_98, yields: % 15.27/4.06 | (2299) all_0_75_75 = all_0_98_98 % 15.27/4.06 | % 15.27/4.06 | Instantiating formula (344) with e23, e23, e23, all_0_19_19 and discharging atoms op2(e23, e23) = all_0_19_19, op2(e23, e23) = e23, yields: % 15.27/4.06 | (2300) all_0_19_19 = e23 % 15.27/4.06 | % 15.27/4.06 | Instantiating formula (344) with e23, e21, e21, all_0_77_77 and discharging atoms op2(e23, e21) = all_0_77_77, op2(e23, e21) = e21, yields: % 15.27/4.06 | (1012) all_0_77_77 = e21 % 15.27/4.06 | % 15.27/4.06 | Instantiating formula (344) with e21, e23, all_0_102_102, e22 and discharging atoms op2(e21, e23) = all_0_102_102, op2(e21, e23) = e22, yields: % 15.27/4.06 | (2302) all_0_102_102 = e22 % 15.27/4.06 | % 15.27/4.06 | Combining equations (2297,2300) yields a new equation: % 15.27/4.06 | (2303) all_0_21_21 = e23 % 15.27/4.06 | % 15.27/4.06 | Simplifying 2303 yields: % 15.27/4.06 | (1009) all_0_21_21 = e23 % 15.27/4.06 | % 15.27/4.06 | Combining equations (2298,1009) yields a new equation: % 15.27/4.06 | (2305) all_0_75_75 = e23 % 15.27/4.06 | % 15.27/4.06 | Simplifying 2305 yields: % 15.27/4.06 | (2306) all_0_75_75 = e23 % 15.27/4.06 | % 15.27/4.06 | Combining equations (2306,2299) yields a new equation: % 15.27/4.06 | (2307) all_0_98_98 = e23 % 15.27/4.06 | % 15.27/4.06 | Combining equations (2302,370) yields a new equation: % 15.27/4.06 | (2308) all_0_83_83 = e22 % 15.27/4.06 | % 15.27/4.06 | Combining equations (2307,2299) yields a new equation: % 15.27/4.06 | (2306) all_0_75_75 = e23 % 15.27/4.06 | % 15.27/4.06 | From (2302) and (327) follows: % 15.27/4.06 | (2310) h2(e12) = e22 % 15.27/4.06 | % 15.27/4.06 | From (2302) and (268) follows: % 15.27/4.06 | (2311) op2(all_0_101_101, e22) = all_0_58_58 % 15.27/4.06 | % 15.27/4.06 | From (2302) and (294) follows: % 15.27/4.06 | (2312) op2(e22, all_0_101_101) = all_0_64_64 % 15.27/4.06 | % 15.27/4.06 | From (2302)(2302) and (24) follows: % 15.27/4.06 | (2313) op2(e22, e22) = all_0_66_66 % 15.27/4.06 | % 15.27/4.06 | From (2302) and (2268) follows: % 15.27/4.06 | (2314) op2(e22, e23) = all_0_68_68 % 15.27/4.06 | % 15.27/4.06 | From (2302) and (356) follows: % 15.27/4.06 | (2315) op2(e22, e21) = all_0_101_101 % 15.27/4.06 | % 15.27/4.06 | From (2302) and (2270) follows: % 15.27/4.06 | (2316) op2(e23, e22) = all_0_73_73 % 15.27/4.06 | % 15.27/4.06 | From (2302) and (359) follows: % 15.27/4.06 | (2317) op2(e21, e22) = all_0_81_81 % 15.27/4.06 | % 15.27/4.06 | Instantiating formula (344) with e23, e22, all_0_73_73, e20 and discharging atoms op2(e23, e22) = all_0_73_73, op2(e23, e22) = e20, yields: % 15.27/4.06 | (2318) all_0_73_73 = e20 % 15.27/4.06 | % 15.27/4.06 | Instantiating formula (344) with e22, e23, all_0_68_68, e21 and discharging atoms op2(e22, e23) = all_0_68_68, op2(e22, e23) = e21, yields: % 15.27/4.06 | (2319) all_0_68_68 = e21 % 15.27/4.06 | % 15.27/4.06 | Instantiating formula (344) with e22, e22, all_0_66_66, e22 and discharging atoms op2(e22, e22) = all_0_66_66, op2(e22, e22) = e22, yields: % 15.27/4.06 | (2320) all_0_66_66 = e22 % 15.27/4.06 | % 15.27/4.06 | Instantiating formula (344) with e22, e21, all_0_101_101, e20 and discharging atoms op2(e22, e21) = all_0_101_101, op2(e22, e21) = e20, yields: % 15.27/4.06 | (2321) all_0_101_101 = e20 % 15.27/4.06 | % 15.27/4.06 | Instantiating formula (344) with e21, e22, all_0_81_81, e21 and discharging atoms op2(e21, e22) = all_0_81_81, op2(e21, e22) = e21, yields: % 15.27/4.06 | (1038) all_0_81_81 = e21 % 15.27/4.06 | % 15.27/4.06 | Combining equations (2321,367) yields a new equation: % 15.27/4.06 | (2323) all_0_70_70 = e20 % 15.27/4.06 | % 15.27/4.06 | From (2321) and (345) follows: % 15.27/4.06 | (2324) h2(e13) = e20 % 15.27/4.06 | % 15.27/4.06 | From (2321)(2321) and (332) follows: % 15.27/4.06 | (2325) op2(e20, e20) = all_0_56_56 % 15.27/4.06 | % 15.27/4.06 | From (2321) and (2267) follows: % 15.27/4.06 | (2326) op2(e20, e23) = all_0_60_60 % 15.27/4.06 | % 15.27/4.06 | From (2321) and (2311) follows: % 15.27/4.06 | (2327) op2(e20, e22) = all_0_58_58 % 15.27/4.06 | % 15.27/4.06 | From (2321) and (325) follows: % 15.27/4.06 | (2328) op2(e20, e21) = all_0_62_62 % 15.27/4.06 | % 15.27/4.06 | From (2321) and (2269) follows: % 15.27/4.06 | (2329) op2(e23, e20) = all_0_71_71 % 15.27/4.06 | % 15.27/4.06 | From (2321) and (2312) follows: % 15.27/4.06 | (2330) op2(e22, e20) = all_0_64_64 % 15.27/4.06 | % 15.27/4.06 | From (2321) and (243) follows: % 15.27/4.06 | (2331) op2(e21, e20) = all_0_79_79 % 15.27/4.06 | % 15.27/4.06 | Instantiating formula (344) with e23, e20, all_0_71_71, e22 and discharging atoms op2(e23, e20) = all_0_71_71, op2(e23, e20) = e22, yields: % 15.27/4.06 | (2332) all_0_71_71 = e22 % 15.27/4.06 | % 15.27/4.06 | Instantiating formula (344) with e22, e20, all_0_64_64, e23 and discharging atoms op2(e22, e20) = all_0_64_64, op2(e22, e20) = e23, yields: % 15.27/4.06 | (2333) all_0_64_64 = e23 % 15.27/4.06 | % 15.27/4.06 | Instantiating formula (344) with e21, e20, all_0_79_79, e20 and discharging atoms op2(e21, e20) = all_0_79_79, op2(e21, e20) = e20, yields: % 15.27/4.06 | (2334) all_0_79_79 = e20 % 15.27/4.06 | % 15.27/4.06 | Instantiating formula (344) with e20, e23, all_0_60_60, e20 and discharging atoms op2(e20, e23) = all_0_60_60, op2(e20, e23) = e20, yields: % 15.27/4.07 | (2335) all_0_60_60 = e20 % 15.27/4.07 | % 15.27/4.07 | Instantiating formula (344) with e20, e22, all_0_58_58, e23 and discharging atoms op2(e20, e22) = all_0_58_58, op2(e20, e22) = e23, yields: % 15.27/4.07 | (2336) all_0_58_58 = e23 % 15.27/4.07 | % 15.27/4.07 | Instantiating formula (344) with e20, e21, all_0_62_62, e22 and discharging atoms op2(e20, e21) = all_0_62_62, op2(e20, e21) = e22, yields: % 15.27/4.07 | (2337) all_0_62_62 = e22 % 15.27/4.07 | % 15.27/4.07 | Instantiating formula (344) with e20, e20, all_0_56_56, e21 and discharging atoms op2(e20, e20) = all_0_56_56, op2(e20, e20) = e21, yields: % 15.27/4.07 | (1058) all_0_56_56 = e21 % 15.27/4.07 | % 15.27/4.07 +-Applying beta-rule and splitting (102), into two cases. % 15.27/4.07 |-Branch one: % 15.27/4.07 | (1106) all_0_118_118 = e13 % 15.27/4.07 | % 15.27/4.07 | Equations (1106) can reduce 178 to: % 15.27/4.07 | (1081) ~ (all_0_116_116 = e13) % 15.27/4.07 | % 15.27/4.07 | Equations (1106) can reduce 111 to: % 15.27/4.07 | (1115) ~ (all_0_117_117 = e13) % 15.27/4.07 | % 15.27/4.07 | Equations (1106) can reduce 163 to: % 15.27/4.07 | (1107) ~ (all_0_125_125 = e13) % 15.27/4.07 | % 15.27/4.07 | Simplifying 1107 yields: % 15.27/4.07 | (1108) ~ (all_0_125_125 = e13) % 15.27/4.07 | % 15.27/4.07 | From (1106) and (56) follows: % 15.27/4.07 | (2344) h2(e13) = all_0_61_61 % 15.27/4.07 | % 15.27/4.07 +-Applying beta-rule and splitting (293), into two cases. % 15.27/4.07 |-Branch one: % 15.27/4.07 | (1087) all_0_116_116 = e13 & ( ~ (all_0_125_125 = e13) | all_0_123_123 = e11) % 15.27/4.07 | % 15.27/4.07 | Applying alpha-rule on (1087) yields: % 15.27/4.07 | (1088) all_0_116_116 = e13 % 15.27/4.07 | (1089) ~ (all_0_125_125 = e13) | all_0_123_123 = e11 % 15.27/4.07 | % 15.27/4.07 | Equations (1088) can reduce 1081 to: % 15.27/4.07 | (387) $false % 15.27/4.07 | % 15.27/4.07 |-The branch is then unsatisfiable % 15.27/4.07 |-Branch two: % 15.27/4.07 | (1091) all_0_121_121 = e12 & ( ~ (all_0_116_116 = e12) | all_0_117_117 = e13) % 15.27/4.07 | % 15.27/4.07 | Applying alpha-rule on (1091) yields: % 15.27/4.07 | (1092) all_0_121_121 = e12 % 15.27/4.07 | (1093) ~ (all_0_116_116 = e12) | all_0_117_117 = e13 % 15.27/4.07 | % 15.27/4.07 | Equations (1092) can reduce 173 to: % 15.27/4.07 | (1866) ~ (all_0_124_124 = e12) % 15.27/4.07 | % 15.27/4.07 | Simplifying 1866 yields: % 15.27/4.07 | (1867) ~ (all_0_124_124 = e12) % 15.27/4.07 | % 15.27/4.07 | Equations (1092) can reduce 126 to: % 15.27/4.07 | (2354) ~ (all_0_128_128 = e12) % 15.27/4.07 | % 15.27/4.07 | Simplifying 2354 yields: % 15.27/4.07 | (74) ~ (all_0_128_128 = e12) % 15.27/4.07 | % 15.27/4.07 | From (1092) and (196) follows: % 15.27/4.07 | (2356) h2(e12) = all_0_67_67 % 15.27/4.07 | % 15.27/4.07 +-Applying beta-rule and splitting (1093), into two cases. % 15.27/4.07 |-Branch one: % 15.27/4.07 | (1122) ~ (all_0_116_116 = e12) % 15.27/4.07 | % 15.27/4.07 +-Applying beta-rule and splitting (362), into two cases. % 15.27/4.07 |-Branch one: % 15.27/4.07 | (1131) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) | (all_0_118_118 = e13 & ~ (all_0_116_116 = e11)) | (all_0_120_120 = e12 & all_0_125_125 = e13 & ~ (all_0_123_123 = e11)) % 15.27/4.07 | % 15.27/4.07 +-Applying beta-rule and splitting (1131), into two cases. % 15.27/4.07 |-Branch one: % 15.27/4.07 | (1132) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) | (all_0_118_118 = e13 & ~ (all_0_116_116 = e11)) % 15.27/4.07 | % 15.27/4.07 +-Applying beta-rule and splitting (1132), into two cases. % 15.27/4.07 |-Branch one: % 15.27/4.07 | (1133) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) % 15.27/4.07 | % 15.27/4.07 +-Applying beta-rule and splitting (1133), into two cases. % 15.27/4.07 |-Branch one: % 15.27/4.07 | (1134) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) % 15.27/4.07 | % 15.27/4.07 +-Applying beta-rule and splitting (1134), into two cases. % 15.27/4.07 |-Branch one: % 15.27/4.07 | (1135) all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13) % 15.27/4.07 | % 15.27/4.07 | Applying alpha-rule on (1135) yields: % 15.27/4.07 | (1123) all_0_116_116 = e12 % 15.27/4.07 | (1137) all_0_124_124 = e11 % 15.27/4.07 | (1115) ~ (all_0_117_117 = e13) % 15.27/4.07 | % 15.27/4.07 | Equations (1123) can reduce 1122 to: % 15.27/4.07 | (387) $false % 15.27/4.07 | % 15.27/4.07 |-The branch is then unsatisfiable % 15.27/4.07 |-Branch two: % 15.27/4.07 | (1141) all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13) % 15.27/4.07 | % 15.27/4.07 | Applying alpha-rule on (1141) yields: % 15.27/4.07 | (1123) all_0_116_116 = e12 % 15.27/4.07 | (1071) all_0_128_128 = e10 % 15.27/4.07 | (1115) ~ (all_0_117_117 = e13) % 15.27/4.07 | % 15.27/4.07 | Equations (1123) can reduce 1122 to: % 15.27/4.07 | (387) $false % 15.27/4.07 | % 15.27/4.07 |-The branch is then unsatisfiable % 15.27/4.07 |-Branch two: % 15.27/4.07 | (1146) all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11) % 15.27/4.07 | % 15.27/4.07 | Applying alpha-rule on (1146) yields: % 15.27/4.07 | (1106) all_0_118_118 = e13 % 15.27/4.07 | (1148) all_0_121_121 = e11 % 15.27/4.07 | (1149) ~ (all_0_116_116 = e11) % 15.27/4.07 | % 15.27/4.07 | Combining equations (1148,1092) yields a new equation: % 15.27/4.07 | (1150) e12 = e11 % 15.27/4.07 | % 15.27/4.07 | Equations (1150) can reduce 70 to: % 15.27/4.07 | (387) $false % 15.27/4.07 | % 15.27/4.07 |-The branch is then unsatisfiable % 15.27/4.07 |-Branch two: % 15.27/4.07 | (1152) all_0_118_118 = e13 & ~ (all_0_116_116 = e11) % 15.27/4.07 | % 15.27/4.07 | Applying alpha-rule on (1152) yields: % 15.27/4.07 | (1106) all_0_118_118 = e13 % 15.27/4.07 | (1149) ~ (all_0_116_116 = e11) % 15.27/4.07 | % 15.27/4.07 +-Applying beta-rule and splitting (334), into two cases. % 15.27/4.07 |-Branch one: % 15.27/4.07 | (1123) all_0_116_116 = e12 % 15.27/4.07 | % 15.27/4.07 | Equations (1123) can reduce 1122 to: % 15.27/4.07 | (387) $false % 15.27/4.07 | % 15.27/4.07 |-The branch is then unsatisfiable % 15.27/4.07 |-Branch two: % 15.27/4.07 | (1122) ~ (all_0_116_116 = e12) % 15.27/4.07 | (1126) all_0_120_120 = e12 | all_0_123_123 = e12 % 15.27/4.07 | % 15.27/4.07 +-Applying beta-rule and splitting (124), into two cases. % 15.27/4.07 |-Branch one: % 15.27/4.07 | (1182) all_0_116_116 = e10 % 15.27/4.07 | % 15.27/4.07 | Equations (1182) can reduce 158 to: % 15.27/4.07 | (2386) ~ (all_0_119_119 = e10) % 15.27/4.07 | % 15.27/4.07 | Simplifying 2386 yields: % 15.27/4.07 | (1171) ~ (all_0_119_119 = e10) % 15.27/4.07 | % 15.27/4.07 | Equations (1182) can reduce 267 to: % 15.27/4.07 | (1185) ~ (all_0_120_120 = e10) % 15.27/4.07 | % 15.27/4.07 | Simplifying 1185 yields: % 15.27/4.07 | (1186) ~ (all_0_120_120 = e10) % 15.27/4.07 | % 15.27/4.07 | Equations (1182) can reduce 120 to: % 15.27/4.07 | (2390) ~ (all_0_127_127 = e10) % 15.27/4.07 | % 15.27/4.07 | Simplifying 2390 yields: % 15.27/4.07 | (1075) ~ (all_0_127_127 = e10) % 15.27/4.07 | % 15.27/4.07 | From (1182) and (237) follows: % 15.27/4.07 | (2392) h2(e10) = all_0_57_57 % 15.27/4.07 | % 15.27/4.07 +-Applying beta-rule and splitting (156), into two cases. % 15.27/4.07 |-Branch one: % 15.27/4.07 | (1077) all_0_127_127 = e10 % 15.27/4.07 | % 15.27/4.07 | Equations (1077) can reduce 1075 to: % 15.27/4.07 | (387) $false % 15.27/4.07 | % 15.27/4.07 |-The branch is then unsatisfiable % 15.27/4.07 |-Branch two: % 15.27/4.07 | (1075) ~ (all_0_127_127 = e10) % 15.27/4.07 | (1080) all_0_127_127 = e13 % 15.27/4.07 | % 15.27/4.07 | Equations (1080) can reduce 165 to: % 15.27/4.07 | (48) ~ (all_0_120_120 = e13) % 15.27/4.07 | % 15.27/4.07 | Equations (1080) can reduce 171 to: % 15.27/4.07 | (361) ~ (e13 = e11) % 15.27/4.07 | % 15.27/4.07 | Equations (1080) can reduce 1075 to: % 15.27/4.07 | (97) ~ (e13 = e10) % 15.27/4.07 | % 15.27/4.07 | From (1080) and (100) follows: % 15.27/4.07 | (2400) h2(e13) = all_0_80_80 % 15.27/4.07 | % 15.27/4.07 +-Applying beta-rule and splitting (256), into two cases. % 15.27/4.07 |-Branch one: % 15.27/4.07 | (1077) all_0_127_127 = e10 % 15.27/4.07 | % 15.27/4.07 | Combining equations (1080,1077) yields a new equation: % 15.27/4.07 | (1360) e13 = e10 % 15.27/4.07 | % 15.27/4.07 | Simplifying 1360 yields: % 15.27/4.07 | (1361) e13 = e10 % 15.27/4.07 | % 15.27/4.07 | Equations (1361) can reduce 97 to: % 15.27/4.07 | (387) $false % 15.27/4.07 | % 15.27/4.07 |-The branch is then unsatisfiable % 15.27/4.07 |-Branch two: % 15.27/4.07 | (1075) ~ (all_0_127_127 = e10) % 15.27/4.07 | (1071) all_0_128_128 = e10 % 15.27/4.07 | % 15.27/4.07 | Equations (1071) can reduce 324 to: % 15.27/4.07 | (1072) ~ (all_0_117_117 = e10) % 15.27/4.07 | % 15.27/4.07 | Equations (1071) can reduce 74 to: % 15.27/4.07 | (1175) ~ (e12 = e10) % 15.27/4.07 | % 15.27/4.07 | Simplifying 1175 yields: % 15.27/4.07 | (130) ~ (e12 = e10) % 15.27/4.07 | % 15.27/4.07 | From (1071) and (215) follows: % 15.27/4.07 | (2410) h2(e10) = all_0_82_82 % 15.27/4.07 | % 15.27/4.07 +-Applying beta-rule and splitting (352), into two cases. % 15.27/4.07 |-Branch one: % 15.27/4.07 | (1188) all_0_120_120 = e10 % 15.27/4.07 | % 15.27/4.07 | Equations (1188) can reduce 1186 to: % 15.27/4.07 | (387) $false % 15.27/4.07 | % 15.27/4.07 |-The branch is then unsatisfiable % 15.27/4.07 |-Branch two: % 15.27/4.07 | (1186) ~ (all_0_120_120 = e10) % 15.27/4.07 | (1680) all_0_121_121 = e10 | all_0_122_122 = e10 % 15.27/4.07 | % 15.27/4.07 +-Applying beta-rule and splitting (1680), into two cases. % 15.27/4.07 |-Branch one: % 15.27/4.07 | (1663) all_0_121_121 = e10 % 15.27/4.07 | % 15.27/4.07 | Combining equations (1092,1663) yields a new equation: % 15.27/4.07 | (1355) e12 = e10 % 15.27/4.07 | % 15.27/4.07 | Simplifying 1355 yields: % 15.27/4.07 | (1169) e12 = e10 % 15.27/4.07 | % 15.27/4.07 | Equations (1169) can reduce 130 to: % 15.27/4.07 | (387) $false % 15.27/4.07 | % 15.27/4.07 |-The branch is then unsatisfiable % 15.27/4.07 |-Branch two: % 15.27/4.07 | (1073) ~ (all_0_121_121 = e10) % 15.27/4.07 | (1198) all_0_122_122 = e10 % 15.27/4.07 | % 15.27/4.07 | Equations (1198) can reduce 159 to: % 15.27/4.07 | (1186) ~ (all_0_120_120 = e10) % 15.27/4.07 | % 15.27/4.07 | From (1198) and (77) follows: % 15.27/4.07 | (2422) h2(e10) = all_0_69_69 % 15.27/4.07 | % 15.27/4.07 +-Applying beta-rule and splitting (296), into two cases. % 15.27/4.07 |-Branch one: % 15.27/4.08 | (1168) all_0_119_119 = e10 % 15.27/4.08 | % 15.27/4.08 | Equations (1168) can reduce 1171 to: % 15.27/4.08 | (387) $false % 15.27/4.08 | % 15.27/4.08 |-The branch is then unsatisfiable % 15.27/4.08 |-Branch two: % 15.27/4.08 | (1171) ~ (all_0_119_119 = e10) % 15.27/4.08 | (1158) all_0_119_119 = e12 % 15.27/4.08 | % 15.27/4.08 | Equations (1158) can reduce 305 to: % 15.27/4.08 | (1094) ~ (all_0_117_117 = e12) % 15.27/4.08 | % 15.27/4.08 | Equations (1158) can reduce 112 to: % 15.27/4.08 | (1165) ~ (all_0_126_126 = e12) % 15.27/4.08 | % 15.27/4.08 | Simplifying 1165 yields: % 15.27/4.08 | (1166) ~ (all_0_126_126 = e12) % 15.27/4.08 | % 15.27/4.08 | Equations (1158) can reduce 1171 to: % 15.27/4.08 | (130) ~ (e12 = e10) % 15.27/4.08 | % 15.27/4.08 | From (1158) and (73) follows: % 15.27/4.08 | (2431) h2(e12) = all_0_63_63 % 15.27/4.08 | % 15.27/4.08 +-Applying beta-rule and splitting (174), into two cases. % 15.27/4.08 |-Branch one: % 15.27/4.08 | (1168) all_0_119_119 = e10 % 15.27/4.08 | % 15.27/4.08 | Combining equations (1158,1168) yields a new equation: % 15.27/4.08 | (1355) e12 = e10 % 15.27/4.08 | % 15.27/4.08 | Simplifying 1355 yields: % 15.27/4.08 | (1169) e12 = e10 % 15.27/4.08 | % 15.27/4.08 | Equations (1169) can reduce 130 to: % 15.27/4.08 | (387) $false % 15.27/4.08 | % 15.27/4.08 |-The branch is then unsatisfiable % 15.27/4.08 |-Branch two: % 15.27/4.08 | (1171) ~ (all_0_119_119 = e10) % 15.27/4.08 | (1172) all_0_126_126 = e10 % 15.27/4.08 | % 15.27/4.08 | Equations (1172) can reduce 229 to: % 15.27/4.08 | (1741) ~ (all_0_125_125 = e10) % 15.27/4.08 | % 15.27/4.08 | Equations (1172) can reduce 341 to: % 15.27/4.08 | (1173) ~ (e13 = e10) % 15.27/4.08 | % 15.27/4.08 | Simplifying 1173 yields: % 15.27/4.08 | (97) ~ (e13 = e10) % 15.27/4.08 | % 15.27/4.08 | Equations (1172) can reduce 1166 to: % 15.27/4.08 | (1175) ~ (e12 = e10) % 15.27/4.08 | % 15.27/4.08 | Simplifying 1175 yields: % 15.27/4.08 | (130) ~ (e12 = e10) % 15.27/4.08 | % 15.27/4.08 | Equations (1172) can reduce 212 to: % 15.27/4.08 | (1199) ~ (e11 = e10) % 15.27/4.08 | % 15.27/4.08 | Simplifying 1199 yields: % 15.27/4.08 | (253) ~ (e11 = e10) % 15.27/4.08 | % 15.27/4.08 | From (1172) and (340) follows: % 15.27/4.08 | (2445) h2(e10) = all_0_78_78 % 15.27/4.08 | % 15.27/4.08 +-Applying beta-rule and splitting (236), into two cases. % 15.27/4.08 |-Branch one: % 15.27/4.08 | (1192) all_0_120_120 = e11 % 15.27/4.08 | % 15.27/4.08 | Equations (1192) can reduce 48 to: % 15.27/4.08 | (1195) ~ (e13 = e11) % 15.27/4.08 | % 15.27/4.08 | Simplifying 1195 yields: % 15.27/4.08 | (361) ~ (e13 = e11) % 15.27/4.08 | % 15.27/4.08 | Equations (1192) can reduce 1186 to: % 15.27/4.08 | (253) ~ (e11 = e10) % 15.27/4.08 | % 15.27/4.08 | From (1192) and (278) follows: % 15.27/4.08 | (2450) h2(e11) = all_0_65_65 % 15.27/4.08 | % 15.27/4.08 +-Applying beta-rule and splitting (234), into two cases. % 15.27/4.08 |-Branch one: % 15.27/4.08 | (1207) all_0_118_118 = e11 % 15.27/4.08 | % 15.27/4.08 | Combining equations (1106,1207) yields a new equation: % 15.27/4.08 | (1208) e13 = e11 % 15.27/4.08 | % 15.27/4.08 | Simplifying 1208 yields: % 15.27/4.08 | (1139) e13 = e11 % 15.27/4.08 | % 15.27/4.08 | Equations (1139) can reduce 361 to: % 15.27/4.08 | (387) $false % 15.27/4.08 | % 15.27/4.08 |-The branch is then unsatisfiable % 15.27/4.08 |-Branch two: % 15.27/4.08 | (1211) ~ (all_0_118_118 = e11) % 15.27/4.08 | (1212) all_0_122_122 = e11 | all_0_125_125 = e11 % 15.27/4.08 | % 15.27/4.08 +-Applying beta-rule and splitting (186), into two cases. % 15.27/4.08 |-Branch one: % 15.27/4.08 | (1380) all_0_117_117 = e13 % 15.27/4.08 | % 15.27/4.08 | Equations (1380) can reduce 1115 to: % 15.27/4.08 | (387) $false % 15.27/4.08 | % 15.27/4.08 |-The branch is then unsatisfiable % 15.27/4.08 |-Branch two: % 15.27/4.08 | (1115) ~ (all_0_117_117 = e13) % 15.27/4.08 | (1428) all_0_124_124 = e13 | all_0_128_128 = e13 % 15.27/4.08 | % 15.27/4.08 +-Applying beta-rule and splitting (1212), into two cases. % 15.27/4.08 |-Branch one: % 15.27/4.08 | (1213) all_0_122_122 = e11 % 15.27/4.08 | % 15.27/4.08 | Combining equations (1198,1213) yields a new equation: % 15.27/4.08 | (1214) e11 = e10 % 15.27/4.08 | % 15.27/4.08 | Equations (1214) can reduce 253 to: % 15.27/4.08 | (387) $false % 15.27/4.08 | % 15.27/4.08 |-The branch is then unsatisfiable % 15.27/4.08 |-Branch two: % 15.27/4.08 | (1194) ~ (all_0_122_122 = e11) % 15.27/4.08 | (1217) all_0_125_125 = e11 % 15.27/4.08 | % 15.27/4.08 | Equations (1217) can reduce 247 to: % 15.27/4.08 | (2124) ~ (all_0_124_124 = e11) % 15.27/4.08 | % 15.27/4.08 | Equations (1217) can reduce 1741 to: % 15.27/4.08 | (253) ~ (e11 = e10) % 15.27/4.08 | % 15.27/4.08 | From (1217) and (211) follows: % 15.27/4.08 | (2468) h2(e11) = all_0_76_76 % 15.27/4.08 | % 15.27/4.08 +-Applying beta-rule and splitting (317), into two cases. % 15.27/4.08 |-Branch one: % 15.27/4.08 | (1202) all_0_117_117 = e11 % 15.27/4.08 | % 15.27/4.08 | From (1202) and (13) follows: % 15.27/4.08 | (2470) h2(e11) = all_0_59_59 % 15.27/4.08 | % 15.27/4.08 +-Applying beta-rule and splitting (1428), into two cases. % 15.27/4.08 |-Branch one: % 15.27/4.08 | (1114) all_0_124_124 = e13 % 15.27/4.08 | % 15.27/4.08 | Equations (1114) can reduce 1867 to: % 15.27/4.08 | (297) ~ (e13 = e12) % 15.27/4.08 | % 15.27/4.08 | From (1114) and (288) follows: % 15.27/4.08 | (2473) h2(e13) = all_0_74_74 % 15.27/4.08 | % 15.27/4.08 +-Applying beta-rule and splitting (275), into two cases. % 15.27/4.08 |-Branch one: % 15.27/4.08 | (1163) all_0_123_123 = e12 % 15.27/4.08 | % 15.27/4.08 | From (1163) and (94) follows: % 15.27/4.08 | (2475) h2(e12) = all_0_72_72 % 15.27/4.08 | % 15.27/4.08 | Instantiating formula (260) with e13, all_0_74_74, e20 and discharging atoms h2(e13) = all_0_74_74, h2(e13) = e20, yields: % 15.27/4.08 | (2476) all_0_74_74 = e20 % 15.27/4.08 | % 15.27/4.08 | Instantiating formula (260) with e13, all_0_74_74, all_0_61_61 and discharging atoms h2(e13) = all_0_61_61, h2(e13) = all_0_74_74, yields: % 15.27/4.08 | (2477) all_0_61_61 = all_0_74_74 % 15.27/4.08 | % 15.27/4.08 | Instantiating formula (260) with e13, all_0_80_80, all_0_61_61 and discharging atoms h2(e13) = all_0_61_61, h2(e13) = all_0_80_80, yields: % 15.27/4.08 | (2478) all_0_61_61 = all_0_80_80 % 15.27/4.08 | % 15.27/4.08 | Instantiating formula (260) with e12, all_0_63_63, e22 and discharging atoms h2(e12) = all_0_63_63, h2(e12) = e22, yields: % 15.27/4.08 | (2479) all_0_63_63 = e22 % 15.27/4.08 | % 15.27/4.08 | Instantiating formula (260) with e12, all_0_67_67, all_0_63_63 and discharging atoms h2(e12) = all_0_63_63, h2(e12) = all_0_67_67, yields: % 15.27/4.08 | (2480) all_0_63_63 = all_0_67_67 % 15.27/4.08 | % 15.27/4.08 | Instantiating formula (260) with e12, all_0_72_72, all_0_63_63 and discharging atoms h2(e12) = all_0_63_63, h2(e12) = all_0_72_72, yields: % 15.27/4.08 | (2481) all_0_63_63 = all_0_72_72 % 15.27/4.08 | % 15.27/4.08 | Instantiating formula (260) with e11, all_0_59_59, e23 and discharging atoms h2(e11) = all_0_59_59, h2(e11) = e23, yields: % 15.27/4.08 | (2482) all_0_59_59 = e23 % 15.27/4.08 | % 15.27/4.08 | Instantiating formula (260) with e11, all_0_65_65, all_0_59_59 and discharging atoms h2(e11) = all_0_59_59, h2(e11) = all_0_65_65, yields: % 15.27/4.08 | (2483) all_0_59_59 = all_0_65_65 % 15.27/4.08 | % 15.27/4.08 | Instantiating formula (260) with e11, all_0_76_76, all_0_59_59 and discharging atoms h2(e11) = all_0_59_59, h2(e11) = all_0_76_76, yields: % 15.27/4.08 | (2484) all_0_59_59 = all_0_76_76 % 15.27/4.08 | % 15.27/4.08 | Instantiating formula (260) with e10, all_0_69_69, all_0_57_57 and discharging atoms h2(e10) = all_0_57_57, h2(e10) = all_0_69_69, yields: % 15.27/4.08 | (2485) all_0_57_57 = all_0_69_69 % 15.27/4.08 | % 15.27/4.08 | Instantiating formula (260) with e10, all_0_78_78, e21 and discharging atoms h2(e10) = all_0_78_78, h2(e10) = e21, yields: % 15.27/4.08 | (2486) all_0_78_78 = e21 % 15.27/4.08 | % 15.27/4.08 | Instantiating formula (260) with e10, all_0_78_78, all_0_57_57 and discharging atoms h2(e10) = all_0_57_57, h2(e10) = all_0_78_78, yields: % 15.27/4.08 | (2487) all_0_57_57 = all_0_78_78 % 15.27/4.08 | % 15.27/4.08 | Instantiating formula (260) with e10, all_0_82_82, all_0_57_57 and discharging atoms h2(e10) = all_0_57_57, h2(e10) = all_0_82_82, yields: % 15.27/4.08 | (2488) all_0_57_57 = all_0_82_82 % 15.27/4.08 | % 15.27/4.08 | Combining equations (2488,2485) yields a new equation: % 15.27/4.08 | (2489) all_0_69_69 = all_0_82_82 % 15.27/4.08 | % 15.27/4.08 | Combining equations (2487,2485) yields a new equation: % 15.27/4.08 | (2490) all_0_69_69 = all_0_78_78 % 15.27/4.08 | % 15.27/4.08 | Combining equations (2482,2483) yields a new equation: % 15.27/4.08 | (2491) all_0_65_65 = e23 % 15.27/4.08 | % 15.27/4.08 | Combining equations (2484,2483) yields a new equation: % 15.27/4.08 | (2492) all_0_65_65 = all_0_76_76 % 15.27/4.08 | % 15.27/4.08 | Combining equations (2477,2478) yields a new equation: % 15.27/4.08 | (2493) all_0_74_74 = all_0_80_80 % 15.27/4.08 | % 15.27/4.08 | Simplifying 2493 yields: % 15.27/4.08 | (2494) all_0_74_74 = all_0_80_80 % 15.27/4.08 | % 15.27/4.08 | Combining equations (2481,2480) yields a new equation: % 15.27/4.08 | (2495) all_0_67_67 = all_0_72_72 % 15.27/4.08 | % 15.27/4.08 | Combining equations (2479,2480) yields a new equation: % 15.27/4.08 | (2496) all_0_67_67 = e22 % 15.27/4.08 | % 15.27/4.08 | Combining equations (2492,2491) yields a new equation: % 15.27/4.08 | (2497) all_0_76_76 = e23 % 15.27/4.08 | % 15.27/4.09 | Simplifying 2497 yields: % 15.27/4.09 | (2498) all_0_76_76 = e23 % 15.27/4.09 | % 15.27/4.09 | Combining equations (2496,2495) yields a new equation: % 15.27/4.09 | (2499) all_0_72_72 = e22 % 15.27/4.09 | % 15.27/4.09 | Combining equations (2490,2489) yields a new equation: % 15.27/4.09 | (2500) all_0_78_78 = all_0_82_82 % 15.27/4.09 | % 15.27/4.09 | Simplifying 2500 yields: % 15.27/4.09 | (2501) all_0_78_78 = all_0_82_82 % 15.27/4.09 | % 15.27/4.09 | Combining equations (2476,2494) yields a new equation: % 15.27/4.09 | (2502) all_0_80_80 = e20 % 15.27/4.09 | % 15.27/4.09 | Combining equations (2501,2486) yields a new equation: % 15.27/4.09 | (2503) all_0_82_82 = e21 % 15.27/4.09 | % 15.27/4.09 | Simplifying 2503 yields: % 15.27/4.09 | (2504) all_0_82_82 = e21 % 15.27/4.09 | % 15.27/4.09 | Combining equations (2502,2494) yields a new equation: % 15.27/4.09 | (2476) all_0_74_74 = e20 % 15.27/4.09 | % 15.27/4.09 | Combining equations (2504,2489) yields a new equation: % 15.27/4.09 | (2506) all_0_69_69 = e21 % 15.27/4.09 | % 15.27/4.09 | Combining equations (2499,2495) yields a new equation: % 15.27/4.09 | (2496) all_0_67_67 = e22 % 15.27/4.09 | % 15.27/4.09 | Combining equations (2496,2480) yields a new equation: % 15.27/4.09 | (2479) all_0_63_63 = e22 % 15.27/4.09 | % 15.27/4.09 | Combining equations (2502,2478) yields a new equation: % 15.27/4.09 | (2509) all_0_61_61 = e20 % 15.27/4.09 | % 15.27/4.09 | Combining equations (2491,2483) yields a new equation: % 15.27/4.09 | (2482) all_0_59_59 = e23 % 15.27/4.09 | % 15.27/4.09 | Combining equations (2506,2485) yields a new equation: % 15.27/4.09 | (2511) all_0_57_57 = e21 % 15.27/4.09 | % 15.27/4.09 +-Applying beta-rule and splitting (143), into two cases. % 15.27/4.09 |-Branch one: % 15.27/4.09 | (2512) ~ (all_0_56_56 = all_0_57_57) % 15.27/4.09 | % 15.27/4.09 | Equations (1058,2511) can reduce 2512 to: % 15.27/4.09 | (387) $false % 15.27/4.09 | % 15.27/4.09 |-The branch is then unsatisfiable % 15.27/4.09 |-Branch two: % 15.27/4.09 | (2514) all_0_56_56 = all_0_57_57 % 15.27/4.09 | (2515) ~ (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_101_101) | ~ (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_102_102) | ( ~ (all_0_101_101 = e23) & ~ (all_0_102_102 = e23) & ~ (all_0_112_112 = e23)) | ( ~ (all_0_101_101 = e22) & ~ (all_0_102_102 = e22)) | ( ~ (all_0_101_101 = e20) & ~ (all_0_102_102 = e20) & ~ (all_0_112_112 = e20)) % 15.27/4.09 | % 15.27/4.09 +-Applying beta-rule and splitting (2515), into two cases. % 15.27/4.09 |-Branch one: % 15.27/4.09 | (2516) ~ (all_0_58_58 = all_0_59_59) % 15.27/4.09 | % 15.27/4.09 | Equations (2336,2482) can reduce 2516 to: % 15.27/4.09 | (387) $false % 15.27/4.09 | % 15.27/4.09 |-The branch is then unsatisfiable % 15.27/4.09 |-Branch two: % 15.27/4.09 | (2518) all_0_58_58 = all_0_59_59 % 15.27/4.09 | (2519) ~ (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_101_101) | ~ (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_102_102) | ( ~ (all_0_101_101 = e23) & ~ (all_0_102_102 = e23) & ~ (all_0_112_112 = e23)) | ( ~ (all_0_101_101 = e22) & ~ (all_0_102_102 = e22)) | ( ~ (all_0_101_101 = e20) & ~ (all_0_102_102 = e20) & ~ (all_0_112_112 = e20)) % 15.27/4.09 | % 15.27/4.09 +-Applying beta-rule and splitting (2519), into two cases. % 15.27/4.09 |-Branch one: % 15.27/4.09 | (2520) ~ (all_0_60_60 = all_0_61_61) % 15.27/4.09 | % 15.27/4.09 | Equations (2335,2509) can reduce 2520 to: % 15.27/4.09 | (387) $false % 15.27/4.09 | % 15.27/4.09 |-The branch is then unsatisfiable % 15.27/4.09 |-Branch two: % 15.27/4.09 | (2522) all_0_60_60 = all_0_61_61 % 15.27/4.09 | (2523) ~ (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_101_101) | ~ (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_102_102) | ( ~ (all_0_101_101 = e23) & ~ (all_0_102_102 = e23) & ~ (all_0_112_112 = e23)) | ( ~ (all_0_101_101 = e22) & ~ (all_0_102_102 = e22)) | ( ~ (all_0_101_101 = e20) & ~ (all_0_102_102 = e20) & ~ (all_0_112_112 = e20)) % 15.27/4.09 | % 15.27/4.09 +-Applying beta-rule and splitting (2523), into two cases. % 15.27/4.09 |-Branch one: % 15.27/4.09 | (2524) ~ (all_0_62_62 = all_0_63_63) % 15.27/4.09 | % 15.27/4.09 | Equations (2337,2479) can reduce 2524 to: % 15.27/4.09 | (387) $false % 15.27/4.09 | % 15.27/4.09 |-The branch is then unsatisfiable % 15.27/4.09 |-Branch two: % 15.27/4.09 | (2526) all_0_62_62 = all_0_63_63 % 15.27/4.09 | (2527) ~ (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_101_101) | ~ (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_102_102) | ( ~ (all_0_101_101 = e23) & ~ (all_0_102_102 = e23) & ~ (all_0_112_112 = e23)) | ( ~ (all_0_101_101 = e22) & ~ (all_0_102_102 = e22)) | ( ~ (all_0_101_101 = e20) & ~ (all_0_102_102 = e20) & ~ (all_0_112_112 = e20)) % 15.27/4.09 | % 15.27/4.09 +-Applying beta-rule and splitting (2527), into two cases. % 15.27/4.09 |-Branch one: % 15.27/4.09 | (2528) ~ (all_0_64_64 = all_0_65_65) % 15.27/4.09 | % 15.27/4.09 | Equations (2333,2491) can reduce 2528 to: % 15.27/4.09 | (387) $false % 15.27/4.09 | % 15.27/4.09 |-The branch is then unsatisfiable % 15.27/4.09 |-Branch two: % 15.27/4.09 | (2530) all_0_64_64 = all_0_65_65 % 15.27/4.09 | (2531) ~ (all_0_66_66 = all_0_67_67) | ~ (all_0_68_68 = all_0_69_69) | ~ (all_0_70_70 = all_0_101_101) | ~ (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_102_102) | ( ~ (all_0_101_101 = e23) & ~ (all_0_102_102 = e23) & ~ (all_0_112_112 = e23)) | ( ~ (all_0_101_101 = e22) & ~ (all_0_102_102 = e22)) | ( ~ (all_0_101_101 = e20) & ~ (all_0_102_102 = e20) & ~ (all_0_112_112 = e20)) % 15.27/4.09 | % 15.27/4.09 +-Applying beta-rule and splitting (2531), into two cases. % 15.27/4.09 |-Branch one: % 15.27/4.09 | (2532) ~ (all_0_66_66 = all_0_67_67) % 15.27/4.09 | % 15.27/4.09 | Equations (2320,2496) can reduce 2532 to: % 15.27/4.09 | (387) $false % 15.27/4.09 | % 15.27/4.09 |-The branch is then unsatisfiable % 15.27/4.09 |-Branch two: % 15.27/4.09 | (2534) all_0_66_66 = all_0_67_67 % 15.27/4.09 | (2535) ~ (all_0_68_68 = all_0_69_69) | ~ (all_0_70_70 = all_0_101_101) | ~ (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_102_102) | ( ~ (all_0_101_101 = e23) & ~ (all_0_102_102 = e23) & ~ (all_0_112_112 = e23)) | ( ~ (all_0_101_101 = e22) & ~ (all_0_102_102 = e22)) | ( ~ (all_0_101_101 = e20) & ~ (all_0_102_102 = e20) & ~ (all_0_112_112 = e20)) % 15.27/4.09 | % 15.27/4.09 +-Applying beta-rule and splitting (2535), into two cases. % 15.27/4.09 |-Branch one: % 15.27/4.09 | (2536) ~ (all_0_68_68 = all_0_69_69) % 15.27/4.09 | % 15.27/4.09 | Equations (2319,2506) can reduce 2536 to: % 15.27/4.09 | (387) $false % 15.27/4.09 | % 15.27/4.09 |-The branch is then unsatisfiable % 15.27/4.09 |-Branch two: % 15.27/4.09 | (2538) all_0_68_68 = all_0_69_69 % 15.27/4.09 | (2539) ~ (all_0_70_70 = all_0_101_101) | ~ (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_102_102) | ( ~ (all_0_101_101 = e23) & ~ (all_0_102_102 = e23) & ~ (all_0_112_112 = e23)) | ( ~ (all_0_101_101 = e22) & ~ (all_0_102_102 = e22)) | ( ~ (all_0_101_101 = e20) & ~ (all_0_102_102 = e20) & ~ (all_0_112_112 = e20)) % 15.27/4.09 | % 15.27/4.09 +-Applying beta-rule and splitting (2539), into two cases. % 15.27/4.09 |-Branch one: % 15.27/4.09 | (2540) ~ (all_0_70_70 = all_0_101_101) % 15.27/4.09 | % 15.27/4.09 | Equations (2323,2321) can reduce 2540 to: % 15.27/4.09 | (387) $false % 15.27/4.09 | % 15.27/4.09 |-The branch is then unsatisfiable % 15.27/4.09 |-Branch two: % 15.27/4.09 | (367) all_0_70_70 = all_0_101_101 % 15.27/4.09 | (2543) ~ (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_102_102) | ( ~ (all_0_101_101 = e23) & ~ (all_0_102_102 = e23) & ~ (all_0_112_112 = e23)) | ( ~ (all_0_101_101 = e22) & ~ (all_0_102_102 = e22)) | ( ~ (all_0_101_101 = e20) & ~ (all_0_102_102 = e20) & ~ (all_0_112_112 = e20)) % 15.27/4.10 | % 15.27/4.10 | Combining equations (2323,367) yields a new equation: % 15.27/4.10 | (2321) all_0_101_101 = e20 % 15.27/4.10 | % 15.27/4.10 +-Applying beta-rule and splitting (2543), into two cases. % 15.27/4.10 |-Branch one: % 15.27/4.10 | (2545) ~ (all_0_71_71 = all_0_72_72) % 15.27/4.10 | % 15.27/4.10 | Equations (2332,2499) can reduce 2545 to: % 15.27/4.10 | (387) $false % 15.27/4.10 | % 15.27/4.10 |-The branch is then unsatisfiable % 15.27/4.10 |-Branch two: % 15.27/4.10 | (2547) all_0_71_71 = all_0_72_72 % 15.27/4.10 | (2548) ~ (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_102_102) | ( ~ (all_0_101_101 = e23) & ~ (all_0_102_102 = e23) & ~ (all_0_112_112 = e23)) | ( ~ (all_0_101_101 = e22) & ~ (all_0_102_102 = e22)) | ( ~ (all_0_101_101 = e20) & ~ (all_0_102_102 = e20) & ~ (all_0_112_112 = e20)) % 15.27/4.10 | % 15.27/4.10 +-Applying beta-rule and splitting (2548), into two cases. % 15.27/4.10 |-Branch one: % 15.27/4.10 | (2549) ~ (all_0_73_73 = all_0_74_74) % 15.27/4.10 | % 15.27/4.10 | Equations (2318,2476) can reduce 2549 to: % 15.27/4.10 | (387) $false % 15.27/4.10 | % 15.27/4.10 |-The branch is then unsatisfiable % 15.27/4.10 |-Branch two: % 15.27/4.10 | (2551) all_0_73_73 = all_0_74_74 % 15.27/4.10 | (2552) ~ (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_102_102) | ( ~ (all_0_101_101 = e23) & ~ (all_0_102_102 = e23) & ~ (all_0_112_112 = e23)) | ( ~ (all_0_101_101 = e22) & ~ (all_0_102_102 = e22)) | ( ~ (all_0_101_101 = e20) & ~ (all_0_102_102 = e20) & ~ (all_0_112_112 = e20)) % 15.27/4.10 | % 15.27/4.10 +-Applying beta-rule and splitting (2552), into two cases. % 15.27/4.10 |-Branch one: % 15.27/4.10 | (2553) ~ (all_0_75_75 = all_0_76_76) % 15.27/4.10 | % 15.27/4.10 | Equations (2306,2498) can reduce 2553 to: % 15.27/4.10 | (387) $false % 15.27/4.10 | % 15.27/4.10 |-The branch is then unsatisfiable % 15.27/4.10 |-Branch two: % 15.27/4.10 | (2555) all_0_75_75 = all_0_76_76 % 15.27/4.10 | (2556) ~ (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_102_102) | ( ~ (all_0_101_101 = e23) & ~ (all_0_102_102 = e23) & ~ (all_0_112_112 = e23)) | ( ~ (all_0_101_101 = e22) & ~ (all_0_102_102 = e22)) | ( ~ (all_0_101_101 = e20) & ~ (all_0_102_102 = e20) & ~ (all_0_112_112 = e20)) % 15.27/4.10 | % 15.27/4.10 +-Applying beta-rule and splitting (2556), into two cases. % 15.27/4.10 |-Branch one: % 15.27/4.10 | (2557) ~ (all_0_77_77 = all_0_78_78) % 15.27/4.10 | % 15.27/4.10 | Equations (1012,2486) can reduce 2557 to: % 15.27/4.10 | (387) $false % 15.27/4.10 | % 15.27/4.10 |-The branch is then unsatisfiable % 15.27/4.10 |-Branch two: % 15.27/4.10 | (2559) all_0_77_77 = all_0_78_78 % 15.27/4.10 | (2560) ~ (all_0_79_79 = all_0_80_80) | ~ (all_0_81_81 = all_0_82_82) | ~ (all_0_83_83 = all_0_102_102) | ( ~ (all_0_101_101 = e23) & ~ (all_0_102_102 = e23) & ~ (all_0_112_112 = e23)) | ( ~ (all_0_101_101 = e22) & ~ (all_0_102_102 = e22)) | ( ~ (all_0_101_101 = e20) & ~ (all_0_102_102 = e20) & ~ (all_0_112_112 = e20)) % 15.27/4.10 | % 15.27/4.10 +-Applying beta-rule and splitting (2560), into two cases. % 15.27/4.10 |-Branch one: % 15.27/4.10 | (2561) ~ (all_0_79_79 = all_0_80_80) % 15.27/4.10 | % 15.27/4.10 | Equations (2334,2502) can reduce 2561 to: % 15.27/4.10 | (387) $false % 15.27/4.10 | % 15.27/4.10 |-The branch is then unsatisfiable % 15.27/4.10 |-Branch two: % 15.27/4.10 | (2563) all_0_79_79 = all_0_80_80 % 15.27/4.10 | (2564) ~ (all_0_81_81 = all_0_82_82) | ~ (all_0_83_83 = all_0_102_102) | ( ~ (all_0_101_101 = e23) & ~ (all_0_102_102 = e23) & ~ (all_0_112_112 = e23)) | ( ~ (all_0_101_101 = e22) & ~ (all_0_102_102 = e22)) | ( ~ (all_0_101_101 = e20) & ~ (all_0_102_102 = e20) & ~ (all_0_112_112 = e20)) % 15.27/4.10 | % 15.27/4.10 +-Applying beta-rule and splitting (2564), into two cases. % 15.27/4.10 |-Branch one: % 15.27/4.10 | (2565) ~ (all_0_81_81 = all_0_82_82) % 15.27/4.10 | % 15.27/4.10 | Equations (1038,2504) can reduce 2565 to: % 15.27/4.10 | (387) $false % 15.27/4.10 | % 15.27/4.10 |-The branch is then unsatisfiable % 15.27/4.10 |-Branch two: % 15.27/4.10 | (2567) all_0_81_81 = all_0_82_82 % 15.27/4.10 | (2568) ~ (all_0_83_83 = all_0_102_102) | ( ~ (all_0_101_101 = e23) & ~ (all_0_102_102 = e23) & ~ (all_0_112_112 = e23)) | ( ~ (all_0_101_101 = e22) & ~ (all_0_102_102 = e22)) | ( ~ (all_0_101_101 = e20) & ~ (all_0_102_102 = e20) & ~ (all_0_112_112 = e20)) % 15.27/4.10 | % 15.27/4.10 +-Applying beta-rule and splitting (2568), into two cases. % 15.27/4.10 |-Branch one: % 15.27/4.10 | (2569) ~ (all_0_83_83 = all_0_102_102) % 15.27/4.10 | % 15.27/4.10 | Equations (2308,2302) can reduce 2569 to: % 15.27/4.10 | (387) $false % 15.27/4.10 | % 15.27/4.10 |-The branch is then unsatisfiable % 15.27/4.10 |-Branch two: % 15.27/4.10 | (370) all_0_83_83 = all_0_102_102 % 15.27/4.10 | (2572) ( ~ (all_0_101_101 = e23) & ~ (all_0_102_102 = e23) & ~ (all_0_112_112 = e23)) | ( ~ (all_0_101_101 = e22) & ~ (all_0_102_102 = e22)) | ( ~ (all_0_101_101 = e20) & ~ (all_0_102_102 = e20) & ~ (all_0_112_112 = e20)) % 15.27/4.10 | % 15.27/4.10 | Combining equations (2308,370) yields a new equation: % 15.27/4.10 | (2302) all_0_102_102 = e22 % 15.27/4.10 | % 15.27/4.10 +-Applying beta-rule and splitting (2572), into two cases. % 15.27/4.10 |-Branch one: % 15.27/4.10 | (2574) ( ~ (all_0_101_101 = e23) & ~ (all_0_102_102 = e23) & ~ (all_0_112_112 = e23)) | ( ~ (all_0_101_101 = e22) & ~ (all_0_102_102 = e22)) % 15.27/4.10 | % 15.27/4.10 +-Applying beta-rule and splitting (2574), into two cases. % 15.27/4.10 |-Branch one: % 15.27/4.10 | (2575) ~ (all_0_101_101 = e23) & ~ (all_0_102_102 = e23) & ~ (all_0_112_112 = e23) % 15.27/4.10 | % 15.27/4.10 | Applying alpha-rule on (2575) yields: % 15.27/4.10 | (2576) ~ (all_0_101_101 = e23) % 15.27/4.10 | (2577) ~ (all_0_102_102 = e23) % 15.27/4.10 | (405) ~ (all_0_112_112 = e23) % 15.27/4.10 | % 15.27/4.10 | Equations (402) can reduce 405 to: % 15.27/4.10 | (387) $false % 15.27/4.10 | % 15.27/4.10 |-The branch is then unsatisfiable % 15.27/4.10 |-Branch two: % 15.27/4.10 | (2580) ~ (all_0_101_101 = e22) & ~ (all_0_102_102 = e22) % 15.27/4.10 | % 15.27/4.10 | Applying alpha-rule on (2580) yields: % 15.27/4.10 | (2581) ~ (all_0_101_101 = e22) % 15.27/4.10 | (2582) ~ (all_0_102_102 = e22) % 15.27/4.10 | % 15.27/4.10 | Equations (2302) can reduce 2582 to: % 15.27/4.10 | (387) $false % 15.27/4.10 | % 15.27/4.10 |-The branch is then unsatisfiable % 15.27/4.10 |-Branch two: % 15.27/4.10 | (2584) ~ (all_0_101_101 = e20) & ~ (all_0_102_102 = e20) & ~ (all_0_112_112 = e20) % 15.27/4.10 | % 15.27/4.10 | Applying alpha-rule on (2584) yields: % 15.27/4.10 | (2585) ~ (all_0_101_101 = e20) % 15.27/4.10 | (2586) ~ (all_0_102_102 = e20) % 15.27/4.10 | (621) ~ (all_0_112_112 = e20) % 15.27/4.10 | % 15.27/4.10 | Equations (2321) can reduce 2585 to: % 15.27/4.10 | (387) $false % 15.27/4.10 | % 15.27/4.10 |-The branch is then unsatisfiable % 15.27/4.11 |-Branch two: % 15.27/4.11 | (1468) ~ (all_0_123_123 = e12) % 15.27/4.11 | (2044) all_0_124_124 = e12 | all_0_126_126 = e12 % 15.27/4.11 | % 15.27/4.11 +-Applying beta-rule and splitting (2044), into two cases. % 15.27/4.11 |-Branch one: % 15.27/4.11 | (2045) all_0_124_124 = e12 % 15.27/4.11 | % 15.27/4.11 | Combining equations (2045,1114) yields a new equation: % 15.27/4.11 | (1501) e13 = e12 % 15.27/4.11 | % 15.27/4.11 | Equations (1501) can reduce 297 to: % 15.27/4.11 | (387) $false % 15.27/4.11 | % 15.27/4.11 |-The branch is then unsatisfiable % 15.27/4.11 |-Branch two: % 15.27/4.11 | (1867) ~ (all_0_124_124 = e12) % 15.27/4.11 | (1467) all_0_126_126 = e12 % 15.27/4.11 | % 15.27/4.11 | Combining equations (1467,1172) yields a new equation: % 15.27/4.11 | (1355) e12 = e10 % 15.27/4.11 | % 15.27/4.11 | Simplifying 1355 yields: % 15.27/4.11 | (1169) e12 = e10 % 15.27/4.11 | % 15.27/4.11 | Equations (1169) can reduce 130 to: % 15.27/4.11 | (387) $false % 15.27/4.11 | % 15.27/4.11 |-The branch is then unsatisfiable % 15.27/4.11 |-Branch two: % 15.27/4.11 | (1382) ~ (all_0_124_124 = e13) % 15.27/4.11 | (1432) all_0_128_128 = e13 % 15.27/4.11 | % 15.27/4.11 | Combining equations (1432,1071) yields a new equation: % 15.27/4.11 | (1360) e13 = e10 % 15.27/4.11 | % 15.27/4.11 | Simplifying 1360 yields: % 15.27/4.11 | (1361) e13 = e10 % 15.27/4.11 | % 15.27/4.11 | Equations (1361) can reduce 97 to: % 15.27/4.11 | (387) $false % 15.27/4.11 | % 15.27/4.11 |-The branch is then unsatisfiable % 15.27/4.11 |-Branch two: % 15.27/4.11 | (1292) ~ (all_0_117_117 = e11) % 15.27/4.11 | (1293) all_0_121_121 = e11 | all_0_124_124 = e11 % 15.27/4.11 | % 15.27/4.11 +-Applying beta-rule and splitting (1428), into two cases. % 15.27/4.11 |-Branch one: % 15.27/4.11 | (1114) all_0_124_124 = e13 % 15.27/4.11 | % 15.27/4.11 | Equations (1114) can reduce 2124 to: % 15.27/4.11 | (361) ~ (e13 = e11) % 15.27/4.11 | % 15.27/4.11 +-Applying beta-rule and splitting (39), into two cases. % 15.27/4.11 |-Branch one: % 15.27/4.11 | (1178) all_0_116_116 = e11 % 15.27/4.11 | % 15.27/4.11 | Combining equations (1182,1178) yields a new equation: % 15.27/4.11 | (1214) e11 = e10 % 15.27/4.11 | % 15.27/4.11 | Equations (1214) can reduce 253 to: % 15.27/4.11 | (387) $false % 15.27/4.11 | % 15.27/4.11 |-The branch is then unsatisfiable % 15.27/4.11 |-Branch two: % 15.27/4.11 | (1149) ~ (all_0_116_116 = e11) % 15.27/4.11 | (1181) all_0_117_117 = e11 | all_0_118_118 = e11 % 15.27/4.11 | % 15.27/4.11 +-Applying beta-rule and splitting (1181), into two cases. % 15.27/4.11 |-Branch one: % 15.27/4.11 | (1202) all_0_117_117 = e11 % 15.27/4.11 | % 15.27/4.11 | Equations (1202) can reduce 1292 to: % 15.27/4.11 | (387) $false % 15.27/4.11 | % 15.27/4.11 |-The branch is then unsatisfiable % 15.27/4.11 |-Branch two: % 15.27/4.11 | (1292) ~ (all_0_117_117 = e11) % 15.27/4.11 | (1207) all_0_118_118 = e11 % 15.27/4.11 | % 15.27/4.11 | Combining equations (1106,1207) yields a new equation: % 15.27/4.11 | (1208) e13 = e11 % 15.27/4.11 | % 15.27/4.11 | Simplifying 1208 yields: % 15.27/4.11 | (1139) e13 = e11 % 15.27/4.11 | % 15.27/4.11 | Equations (1139) can reduce 361 to: % 15.27/4.11 | (387) $false % 15.27/4.11 | % 15.27/4.11 |-The branch is then unsatisfiable % 15.27/4.11 |-Branch two: % 15.27/4.11 | (1382) ~ (all_0_124_124 = e13) % 15.27/4.11 | (1432) all_0_128_128 = e13 % 15.27/4.11 | % 15.27/4.11 | Combining equations (1432,1071) yields a new equation: % 15.27/4.11 | (1360) e13 = e10 % 15.27/4.11 | % 15.27/4.11 | Simplifying 1360 yields: % 15.27/4.11 | (1361) e13 = e10 % 15.27/4.11 | % 15.27/4.11 | Equations (1361) can reduce 97 to: % 15.27/4.11 | (387) $false % 15.27/4.11 | % 15.27/4.11 |-The branch is then unsatisfiable % 15.27/4.11 |-Branch two: % 15.27/4.11 | (1318) ~ (all_0_120_120 = e11) % 15.27/4.11 | (1785) all_0_121_121 = e11 | all_0_122_122 = e11 % 15.27/4.11 | % 15.27/4.11 +-Applying beta-rule and splitting (234), into two cases. % 15.27/4.11 |-Branch one: % 15.27/4.11 | (1207) all_0_118_118 = e11 % 15.27/4.11 | % 15.27/4.11 | Combining equations (1106,1207) yields a new equation: % 15.27/4.11 | (1208) e13 = e11 % 15.27/4.11 | % 15.27/4.11 | Simplifying 1208 yields: % 15.27/4.11 | (1139) e13 = e11 % 15.27/4.11 | % 15.27/4.11 | Equations (1139) can reduce 361 to: % 15.27/4.11 | (387) $false % 15.27/4.11 | % 15.27/4.11 |-The branch is then unsatisfiable % 15.27/4.11 |-Branch two: % 15.27/4.11 | (1211) ~ (all_0_118_118 = e11) % 15.27/4.11 | (1212) all_0_122_122 = e11 | all_0_125_125 = e11 % 15.27/4.11 | % 15.27/4.11 +-Applying beta-rule and splitting (204), into two cases. % 15.27/4.11 |-Branch one: % 15.27/4.11 | (1178) all_0_116_116 = e11 % 15.27/4.11 | % 15.27/4.11 | Combining equations (1182,1178) yields a new equation: % 15.27/4.11 | (1214) e11 = e10 % 15.27/4.11 | % 15.27/4.11 | Equations (1214) can reduce 253 to: % 15.27/4.11 | (387) $false % 15.27/4.11 | % 15.27/4.11 |-The branch is then unsatisfiable % 15.27/4.11 |-Branch two: % 15.27/4.11 | (1149) ~ (all_0_116_116 = e11) % 15.27/4.11 | (1342) all_0_120_120 = e11 | all_0_123_123 = e11 % 15.27/4.11 | % 15.27/4.11 | Equations (1182) can reduce 1149 to: % 15.27/4.11 | (1199) ~ (e11 = e10) % 15.27/4.11 | % 15.27/4.11 | Simplifying 1199 yields: % 15.27/4.11 | (253) ~ (e11 = e10) % 15.27/4.11 | % 15.27/4.11 +-Applying beta-rule and splitting (186), into two cases. % 15.27/4.11 |-Branch one: % 15.27/4.11 | (1380) all_0_117_117 = e13 % 15.27/4.11 | % 15.27/4.11 | Equations (1380) can reduce 1115 to: % 15.27/4.11 | (387) $false % 15.27/4.11 | % 15.27/4.11 |-The branch is then unsatisfiable % 15.27/4.11 |-Branch two: % 15.27/4.11 | (1115) ~ (all_0_117_117 = e13) % 15.27/4.11 | (1428) all_0_124_124 = e13 | all_0_128_128 = e13 % 15.27/4.11 | % 15.27/4.11 +-Applying beta-rule and splitting (1428), into two cases. % 15.27/4.11 |-Branch one: % 15.27/4.11 | (1114) all_0_124_124 = e13 % 15.27/4.11 | % 15.27/4.11 | Equations (1114) can reduce 247 to: % 15.27/4.11 | (1107) ~ (all_0_125_125 = e13) % 15.27/4.11 | % 15.27/4.11 | Simplifying 1107 yields: % 15.27/4.11 | (1108) ~ (all_0_125_125 = e13) % 15.27/4.11 | % 15.27/4.11 +-Applying beta-rule and splitting (317), into two cases. % 15.27/4.11 |-Branch one: % 15.27/4.11 | (1202) all_0_117_117 = e11 % 15.27/4.11 | % 15.27/4.11 | Equations (1202) can reduce 1094 to: % 15.27/4.11 | (1336) ~ (e12 = e11) % 15.27/4.11 | % 15.27/4.11 | Simplifying 1336 yields: % 15.27/4.11 | (70) ~ (e12 = e11) % 15.27/4.11 | % 15.27/4.11 | Equations (1202) can reduce 1072 to: % 15.27/4.11 | (253) ~ (e11 = e10) % 15.27/4.11 | % 15.27/4.11 +-Applying beta-rule and splitting (1785), into two cases. % 15.27/4.11 |-Branch one: % 15.27/4.11 | (1148) all_0_121_121 = e11 % 15.27/4.11 | % 15.27/4.11 | Combining equations (1092,1148) yields a new equation: % 15.27/4.11 | (1349) e12 = e11 % 15.27/4.11 | % 15.27/4.11 | Simplifying 1349 yields: % 15.27/4.11 | (1150) e12 = e11 % 15.27/4.11 | % 15.27/4.11 | Equations (1150) can reduce 70 to: % 15.27/4.11 | (387) $false % 15.27/4.11 | % 15.27/4.11 |-The branch is then unsatisfiable % 15.27/4.11 |-Branch two: % 15.27/4.11 | (1657) ~ (all_0_121_121 = e11) % 15.27/4.11 | (1213) all_0_122_122 = e11 % 15.27/4.11 | % 15.27/4.11 | Combining equations (1198,1213) yields a new equation: % 15.27/4.11 | (1214) e11 = e10 % 15.27/4.11 | % 15.27/4.11 | Equations (1214) can reduce 253 to: % 15.27/4.11 | (387) $false % 15.27/4.11 | % 15.27/4.11 |-The branch is then unsatisfiable % 15.27/4.11 |-Branch two: % 15.27/4.11 | (1292) ~ (all_0_117_117 = e11) % 15.27/4.11 | (1293) all_0_121_121 = e11 | all_0_124_124 = e11 % 15.27/4.11 | % 15.27/4.11 +-Applying beta-rule and splitting (39), into two cases. % 15.27/4.11 |-Branch one: % 15.27/4.11 | (1178) all_0_116_116 = e11 % 15.27/4.11 | % 15.27/4.11 | Combining equations (1182,1178) yields a new equation: % 15.27/4.11 | (1214) e11 = e10 % 15.27/4.11 | % 15.27/4.11 | Equations (1214) can reduce 253 to: % 15.27/4.11 | (387) $false % 15.27/4.11 | % 15.27/4.11 |-The branch is then unsatisfiable % 15.27/4.11 |-Branch two: % 15.27/4.11 | (1149) ~ (all_0_116_116 = e11) % 15.27/4.11 | (1181) all_0_117_117 = e11 | all_0_118_118 = e11 % 15.59/4.11 | % 15.59/4.11 | Equations (1182) can reduce 1149 to: % 15.59/4.11 | (1199) ~ (e11 = e10) % 15.59/4.11 | % 15.59/4.11 | Simplifying 1199 yields: % 15.59/4.11 | (253) ~ (e11 = e10) % 15.59/4.11 | % 15.59/4.11 +-Applying beta-rule and splitting (1212), into two cases. % 15.59/4.11 |-Branch one: % 15.59/4.11 | (1213) all_0_122_122 = e11 % 15.59/4.11 | % 15.59/4.11 | Combining equations (1198,1213) yields a new equation: % 15.59/4.11 | (1214) e11 = e10 % 15.59/4.11 | % 15.59/4.11 | Equations (1214) can reduce 253 to: % 15.59/4.11 | (387) $false % 15.59/4.11 | % 15.59/4.11 |-The branch is then unsatisfiable % 15.59/4.11 |-Branch two: % 15.59/4.11 | (1194) ~ (all_0_122_122 = e11) % 15.59/4.11 | (1217) all_0_125_125 = e11 % 15.59/4.11 | % 15.59/4.11 | Equations (1217) can reduce 1108 to: % 15.59/4.11 | (1195) ~ (e13 = e11) % 15.59/4.11 | % 15.59/4.11 | Simplifying 1195 yields: % 15.59/4.11 | (361) ~ (e13 = e11) % 15.59/4.11 | % 15.59/4.11 +-Applying beta-rule and splitting (1181), into two cases. % 15.59/4.11 |-Branch one: % 15.59/4.11 | (1202) all_0_117_117 = e11 % 15.59/4.11 | % 15.59/4.11 | Equations (1202) can reduce 1292 to: % 15.59/4.11 | (387) $false % 15.59/4.11 | % 15.59/4.11 |-The branch is then unsatisfiable % 15.59/4.11 |-Branch two: % 15.59/4.11 | (1292) ~ (all_0_117_117 = e11) % 15.59/4.11 | (1207) all_0_118_118 = e11 % 15.59/4.11 | % 15.59/4.11 | Combining equations (1106,1207) yields a new equation: % 15.59/4.11 | (1208) e13 = e11 % 15.59/4.11 | % 15.59/4.11 | Simplifying 1208 yields: % 15.59/4.11 | (1139) e13 = e11 % 15.59/4.11 | % 15.59/4.11 | Equations (1139) can reduce 361 to: % 15.59/4.11 | (387) $false % 15.59/4.11 | % 15.59/4.11 |-The branch is then unsatisfiable % 15.59/4.11 |-Branch two: % 15.59/4.11 | (1382) ~ (all_0_124_124 = e13) % 15.59/4.11 | (1432) all_0_128_128 = e13 % 15.59/4.11 | % 15.59/4.11 | Combining equations (1432,1071) yields a new equation: % 15.59/4.11 | (1360) e13 = e10 % 15.59/4.11 | % 15.59/4.11 | Simplifying 1360 yields: % 15.59/4.11 | (1361) e13 = e10 % 15.59/4.12 | % 15.59/4.12 | Equations (1361) can reduce 97 to: % 15.59/4.12 | (387) $false % 15.59/4.12 | % 15.59/4.12 |-The branch is then unsatisfiable % 15.59/4.12 |-Branch two: % 15.59/4.12 | (1321) ~ (all_0_116_116 = e10) % 15.59/4.12 | (1322) all_0_116_116 = e13 | all_0_116_116 = e12 | all_0_116_116 = e11 % 15.59/4.12 | % 15.59/4.12 +-Applying beta-rule and splitting (1322), into two cases. % 15.59/4.12 |-Branch one: % 15.59/4.12 | (1088) all_0_116_116 = e13 % 15.59/4.12 | % 15.59/4.12 | Equations (1088) can reduce 1081 to: % 15.59/4.12 | (387) $false % 15.59/4.12 | % 15.59/4.12 |-The branch is then unsatisfiable % 15.59/4.12 |-Branch two: % 15.59/4.12 | (1081) ~ (all_0_116_116 = e13) % 15.59/4.12 | (2692) all_0_116_116 = e12 | all_0_116_116 = e11 % 15.59/4.12 | % 15.59/4.12 +-Applying beta-rule and splitting (2692), into two cases. % 15.59/4.12 |-Branch one: % 15.59/4.12 | (1178) all_0_116_116 = e11 % 15.59/4.12 | % 15.59/4.12 | Equations (1178) can reduce 1149 to: % 15.59/4.12 | (387) $false % 15.59/4.12 | % 15.59/4.12 |-The branch is then unsatisfiable % 15.59/4.12 |-Branch two: % 15.59/4.12 | (1149) ~ (all_0_116_116 = e11) % 15.59/4.12 | (1123) all_0_116_116 = e12 % 15.59/4.12 | % 15.59/4.12 | Equations (1123) can reduce 1122 to: % 15.59/4.12 | (387) $false % 15.59/4.12 | % 15.59/4.12 |-The branch is then unsatisfiable % 15.59/4.12 |-Branch two: % 15.59/4.12 | (1368) all_0_120_120 = e12 & all_0_125_125 = e13 & ~ (all_0_123_123 = e11) % 15.59/4.12 | % 15.59/4.12 | Applying alpha-rule on (1368) yields: % 15.59/4.12 | (1160) all_0_120_120 = e12 % 15.59/4.12 | (1370) all_0_125_125 = e13 % 15.59/4.12 | (1371) ~ (all_0_123_123 = e11) % 15.59/4.12 | % 15.59/4.12 | Equations (1370) can reduce 1108 to: % 15.59/4.12 | (387) $false % 15.59/4.12 | % 15.59/4.12 |-The branch is then unsatisfiable % 15.59/4.12 |-Branch two: % 15.59/4.12 | (1373) all_0_125_125 = e13 & all_0_127_127 = e10 & ~ (all_0_123_123 = e11) % 15.59/4.12 | % 15.59/4.12 | Applying alpha-rule on (1373) yields: % 15.59/4.12 | (1370) all_0_125_125 = e13 % 15.59/4.12 | (1077) all_0_127_127 = e10 % 15.59/4.12 | (1371) ~ (all_0_123_123 = e11) % 15.59/4.12 | % 15.59/4.12 | Equations (1370) can reduce 1108 to: % 15.59/4.12 | (387) $false % 15.59/4.12 | % 15.59/4.12 |-The branch is then unsatisfiable % 15.59/4.12 |-Branch two: % 15.59/4.12 | (1123) all_0_116_116 = e12 % 15.59/4.12 | (1380) all_0_117_117 = e13 % 15.59/4.12 | % 15.59/4.12 | Equations (1380) can reduce 1115 to: % 15.59/4.12 | (387) $false % 15.59/4.12 | % 15.59/4.12 |-The branch is then unsatisfiable % 15.59/4.12 |-Branch two: % 15.59/4.12 | (1385) ~ (all_0_118_118 = e13) % 15.59/4.12 | (1370) all_0_125_125 = e13 % 15.59/4.12 | % 15.59/4.12 | Equations (1370) can reduce 163 to: % 15.59/4.12 | (1385) ~ (all_0_118_118 = e13) % 15.59/4.12 | % 15.59/4.12 | Equations (1370) can reduce 86 to: % 15.59/4.12 | (22) ~ (all_0_122_122 = e13) % 15.59/4.12 | % 15.59/4.12 | Equations (1370) can reduce 19 to: % 15.59/4.12 | (1083) ~ (all_0_123_123 = e13) % 15.59/4.12 | % 15.59/4.12 | Equations (1370) can reduce 247 to: % 15.59/4.12 | (1382) ~ (all_0_124_124 = e13) % 15.59/4.12 | % 15.59/4.12 | From (1370) and (323) follows: % 15.59/4.12 | (2717) h1(e13) = all_0_93_93 % 15.59/4.12 | % 15.59/4.12 | Instantiating formula (193) with e13, all_0_93_93, e23 and discharging atoms h1(e13) = all_0_93_93, h1(e13) = e23, yields: % 15.59/4.12 | (2718) all_0_93_93 = e23 % 15.59/4.12 | % 15.59/4.12 | From (2718) and (2717) follows: % 15.59/4.12 | (154) h1(e13) = e23 % 15.59/4.12 | % 15.59/4.12 +-Applying beta-rule and splitting (174), into two cases. % 15.59/4.12 |-Branch one: % 15.59/4.12 | (1168) all_0_119_119 = e10 % 15.59/4.12 | % 15.59/4.12 | Equations (1168) can reduce 158 to: % 15.59/4.12 | (1321) ~ (all_0_116_116 = e10) % 15.59/4.12 | % 15.59/4.12 | Equations (1168) can reduce 305 to: % 15.59/4.12 | (1072) ~ (all_0_117_117 = e10) % 15.59/4.12 | % 15.59/4.12 | Equations (1168) can reduce 144 to: % 15.59/4.12 | (1457) ~ (all_0_118_118 = e10) % 15.59/4.12 | % 15.59/4.12 | Equations (1168) can reduce 112 to: % 15.59/4.12 | (1458) ~ (all_0_126_126 = e10) % 15.59/4.12 | % 15.59/4.12 | Simplifying 1458 yields: % 15.59/4.12 | (1459) ~ (all_0_126_126 = e10) % 15.59/4.12 | % 15.59/4.12 | Equations (1168) can reduce 349 to: % 15.59/4.12 | (1173) ~ (e13 = e10) % 15.59/4.12 | % 15.59/4.12 | Simplifying 1173 yields: % 15.59/4.12 | (97) ~ (e13 = e10) % 15.59/4.12 | % 15.59/4.12 +-Applying beta-rule and splitting (240), into two cases. % 15.59/4.12 |-Branch one: % 15.59/4.12 | (1172) all_0_126_126 = e10 % 15.59/4.12 | % 15.59/4.12 | Equations (1172) can reduce 1459 to: % 15.59/4.12 | (387) $false % 15.59/4.12 | % 15.59/4.12 |-The branch is then unsatisfiable % 15.59/4.12 |-Branch two: % 15.59/4.12 | (1459) ~ (all_0_126_126 = e10) % 15.59/4.12 | (1467) all_0_126_126 = e12 % 15.59/4.12 | % 15.59/4.12 | Equations (1467) can reduce 201 to: % 15.59/4.12 | (1468) ~ (all_0_123_123 = e12) % 15.59/4.12 | % 15.59/4.12 | Equations (1467) can reduce 242 to: % 15.59/4.12 | (1867) ~ (all_0_124_124 = e12) % 15.59/4.12 | % 15.59/4.12 +-Applying beta-rule and splitting (131), into two cases. % 15.59/4.12 |-Branch one: % 15.59/4.12 | (1694) all_0_118_118 = e10 % 15.59/4.12 | % 15.59/4.12 | Equations (1694) can reduce 1457 to: % 15.59/4.12 | (387) $false % 15.59/4.12 | % 15.59/4.12 |-The branch is then unsatisfiable % 15.59/4.12 |-Branch two: % 15.59/4.12 | (1457) ~ (all_0_118_118 = e10) % 15.59/4.12 | (1697) all_0_122_122 = e10 | all_0_125_125 = e10 % 15.59/4.12 | % 15.59/4.12 +-Applying beta-rule and splitting (302), into two cases. % 15.59/4.12 |-Branch one: % 15.59/4.12 | (1694) all_0_118_118 = e10 % 15.59/4.12 | % 15.59/4.12 | Equations (1694) can reduce 1457 to: % 15.59/4.12 | (387) $false % 15.59/4.12 | % 15.59/4.12 |-The branch is then unsatisfiable % 15.59/4.12 |-Branch two: % 15.59/4.12 | (1457) ~ (all_0_118_118 = e10) % 15.59/4.12 | (1772) all_0_118_118 = e13 | all_0_118_118 = e11 % 15.59/4.12 | % 15.59/4.12 +-Applying beta-rule and splitting (1697), into two cases. % 15.59/4.12 |-Branch one: % 15.59/4.12 | (1198) all_0_122_122 = e10 % 15.59/4.12 | % 15.59/4.12 | Equations (1198) can reduce 159 to: % 15.59/4.12 | (1186) ~ (all_0_120_120 = e10) % 15.59/4.12 | % 15.59/4.12 | Equations (1198) can reduce 22 to: % 15.59/4.12 | (1173) ~ (e13 = e10) % 15.59/4.12 | % 15.59/4.12 | Simplifying 1173 yields: % 15.59/4.12 | (97) ~ (e13 = e10) % 15.59/4.12 | % 15.59/4.12 +-Applying beta-rule and splitting (234), into two cases. % 15.59/4.12 |-Branch one: % 15.59/4.12 | (1207) all_0_118_118 = e11 % 15.59/4.12 | % 15.59/4.12 | Equations (1207) can reduce 164 to: % 15.59/4.12 | (1336) ~ (e12 = e11) % 15.59/4.12 | % 15.59/4.12 | Simplifying 1336 yields: % 15.59/4.12 | (70) ~ (e12 = e11) % 15.59/4.12 | % 15.59/4.12 +-Applying beta-rule and splitting (283), into two cases. % 15.59/4.12 |-Branch one: % 15.59/4.12 | (1080) all_0_127_127 = e13 % 15.59/4.12 | % 15.59/4.12 | Equations (1080) can reduce 120 to: % 15.59/4.12 | (1081) ~ (all_0_116_116 = e13) % 15.59/4.12 | % 15.59/4.12 | Equations (1080) can reduce 165 to: % 15.59/4.12 | (48) ~ (all_0_120_120 = e13) % 15.59/4.12 | % 15.59/4.12 | Equations (1080) can reduce 68 to: % 15.59/4.12 | (2752) ~ (all_0_128_128 = e13) % 15.59/4.12 | % 15.59/4.12 | Simplifying 2752 yields: % 15.59/4.12 | (2753) ~ (all_0_128_128 = e13) % 15.59/4.12 | % 15.59/4.12 +-Applying beta-rule and splitting (293), into two cases. % 15.59/4.12 |-Branch one: % 15.59/4.12 | (1087) all_0_116_116 = e13 & ( ~ (all_0_125_125 = e13) | all_0_123_123 = e11) % 15.59/4.12 | % 15.59/4.12 | Applying alpha-rule on (1087) yields: % 15.59/4.12 | (1088) all_0_116_116 = e13 % 15.59/4.12 | (1089) ~ (all_0_125_125 = e13) | all_0_123_123 = e11 % 15.59/4.12 | % 15.59/4.12 | Equations (1088) can reduce 1081 to: % 15.59/4.12 | (387) $false % 15.59/4.12 | % 15.59/4.12 |-The branch is then unsatisfiable % 15.59/4.12 |-Branch two: % 15.59/4.12 | (1091) all_0_121_121 = e12 & ( ~ (all_0_116_116 = e12) | all_0_117_117 = e13) % 15.59/4.12 | % 15.59/4.12 | Applying alpha-rule on (1091) yields: % 15.59/4.12 | (1092) all_0_121_121 = e12 % 15.59/4.12 | (1093) ~ (all_0_116_116 = e12) | all_0_117_117 = e13 % 15.59/4.12 | % 15.59/4.12 | Equations (1092) can reduce 173 to: % 15.59/4.12 | (1866) ~ (all_0_124_124 = e12) % 15.59/4.12 | % 15.59/4.12 | Simplifying 1866 yields: % 15.59/4.12 | (1867) ~ (all_0_124_124 = e12) % 15.59/4.12 | % 15.59/4.12 +-Applying beta-rule and splitting (186), into two cases. % 15.59/4.12 |-Branch one: % 15.59/4.12 | (1380) all_0_117_117 = e13 % 15.59/4.12 | % 15.59/4.12 | Equations (1380) can reduce 184 to: % 15.59/4.12 | (2764) ~ (all_0_124_124 = e13) % 15.59/4.12 | % 15.59/4.12 | Simplifying 2764 yields: % 15.59/4.12 | (1382) ~ (all_0_124_124 = e13) % 15.59/4.12 | % 15.59/4.12 | Equations (1380) can reduce 324 to: % 15.59/4.12 | (2752) ~ (all_0_128_128 = e13) % 15.59/4.12 | % 15.59/4.13 | Simplifying 2752 yields: % 15.59/4.13 | (2753) ~ (all_0_128_128 = e13) % 15.59/4.13 | % 15.59/4.13 | Equations (1380) can reduce 1072 to: % 15.59/4.13 | (97) ~ (e13 = e10) % 15.59/4.13 | % 15.59/4.13 +-Applying beta-rule and splitting (256), into two cases. % 15.59/4.13 |-Branch one: % 15.59/4.13 | (1077) all_0_127_127 = e10 % 15.59/4.13 | % 15.59/4.13 | Combining equations (1077,1080) yields a new equation: % 15.59/4.13 | (1361) e13 = e10 % 15.59/4.13 | % 15.59/4.13 | Equations (1361) can reduce 97 to: % 15.59/4.13 | (387) $false % 15.59/4.13 | % 15.59/4.13 |-The branch is then unsatisfiable % 15.59/4.13 |-Branch two: % 15.59/4.13 | (1075) ~ (all_0_127_127 = e10) % 15.59/4.13 | (1071) all_0_128_128 = e10 % 15.59/4.13 | % 15.59/4.13 | Equations (1071) can reduce 2753 to: % 15.59/4.13 | (1173) ~ (e13 = e10) % 15.59/4.13 | % 15.59/4.13 | Simplifying 1173 yields: % 15.59/4.13 | (97) ~ (e13 = e10) % 15.59/4.13 | % 15.59/4.13 | Equations (1071) can reduce 109 to: % 15.59/4.13 | (1199) ~ (e11 = e10) % 15.59/4.13 | % 15.59/4.13 | Simplifying 1199 yields: % 15.59/4.13 | (253) ~ (e11 = e10) % 15.59/4.13 | % 15.59/4.13 +-Applying beta-rule and splitting (202), into two cases. % 15.59/4.13 |-Branch one: % 15.59/4.13 | (1182) all_0_116_116 = e10 % 15.59/4.13 | % 15.59/4.13 | Equations (1182) can reduce 1321 to: % 15.59/4.13 | (387) $false % 15.59/4.13 | % 15.59/4.13 |-The branch is then unsatisfiable % 15.59/4.13 |-Branch two: % 15.59/4.13 | (1321) ~ (all_0_116_116 = e10) % 15.59/4.13 | (1326) all_0_120_120 = e10 | all_0_123_123 = e10 | all_0_127_127 = e10 % 15.59/4.13 | % 15.59/4.13 +-Applying beta-rule and splitting (236), into two cases. % 15.59/4.13 |-Branch one: % 15.59/4.13 | (1192) all_0_120_120 = e11 % 15.59/4.13 | % 15.59/4.13 | Equations (1192) can reduce 303 to: % 15.59/4.13 | (2783) ~ (all_0_123_123 = e11) % 15.59/4.13 | % 15.59/4.13 | Simplifying 2783 yields: % 15.59/4.13 | (1371) ~ (all_0_123_123 = e11) % 15.59/4.13 | % 15.59/4.13 | Equations (1192) can reduce 48 to: % 15.59/4.13 | (1195) ~ (e13 = e11) % 15.59/4.13 | % 15.59/4.13 | Simplifying 1195 yields: % 15.59/4.13 | (361) ~ (e13 = e11) % 15.59/4.13 | % 15.59/4.13 +-Applying beta-rule and splitting (317), into two cases. % 15.59/4.13 |-Branch one: % 15.59/4.13 | (1202) all_0_117_117 = e11 % 15.59/4.13 | % 15.59/4.13 | Combining equations (1202,1380) yields a new equation: % 15.59/4.13 | (1139) e13 = e11 % 15.59/4.13 | % 15.59/4.13 | Equations (1139) can reduce 361 to: % 15.59/4.13 | (387) $false % 15.59/4.13 | % 15.59/4.13 |-The branch is then unsatisfiable % 15.59/4.13 |-Branch two: % 15.59/4.13 | (1292) ~ (all_0_117_117 = e11) % 15.59/4.13 | (1293) all_0_121_121 = e11 | all_0_124_124 = e11 % 15.59/4.13 | % 15.59/4.13 | Equations (1380) can reduce 1292 to: % 15.59/4.13 | (361) ~ (e13 = e11) % 15.59/4.13 | % 15.59/4.13 +-Applying beta-rule and splitting (21), into two cases. % 15.59/4.13 |-Branch one: % 15.59/4.13 | (1348) all_0_123_123 = e11 % 15.59/4.13 | % 15.59/4.13 | Equations (1348) can reduce 1371 to: % 15.59/4.13 | (387) $false % 15.59/4.13 | % 15.59/4.13 |-The branch is then unsatisfiable % 15.59/4.13 |-Branch two: % 15.59/4.13 | (1371) ~ (all_0_123_123 = e11) % 15.59/4.13 | (2174) all_0_124_124 = e11 | all_0_125_125 = e11 % 15.59/4.13 | % 15.59/4.13 +-Applying beta-rule and splitting (2174), into two cases. % 15.59/4.13 |-Branch one: % 15.59/4.13 | (1137) all_0_124_124 = e11 % 15.59/4.13 | % 15.59/4.13 | Equations (1137) can reduce 1382 to: % 15.59/4.13 | (1195) ~ (e13 = e11) % 15.59/4.13 | % 15.59/4.13 | Simplifying 1195 yields: % 15.59/4.13 | (361) ~ (e13 = e11) % 15.59/4.13 | % 15.59/4.13 | Equations (1137) can reduce 1867 to: % 15.59/4.13 | (1336) ~ (e12 = e11) % 15.59/4.13 | % 15.59/4.13 | Simplifying 1336 yields: % 15.59/4.13 | (70) ~ (e12 = e11) % 15.59/4.13 | % 15.59/4.13 +-Applying beta-rule and splitting (362), into two cases. % 15.59/4.13 |-Branch one: % 15.59/4.13 | (1131) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) | (all_0_118_118 = e13 & ~ (all_0_116_116 = e11)) | (all_0_120_120 = e12 & all_0_125_125 = e13 & ~ (all_0_123_123 = e11)) % 15.59/4.13 | % 15.59/4.13 +-Applying beta-rule and splitting (1131), into two cases. % 15.59/4.13 |-Branch one: % 15.59/4.13 | (1132) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) | (all_0_118_118 = e13 & ~ (all_0_116_116 = e11)) % 15.59/4.13 | % 15.59/4.13 +-Applying beta-rule and splitting (1132), into two cases. % 15.59/4.13 |-Branch one: % 15.59/4.13 | (1133) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) % 15.59/4.13 | % 15.59/4.13 +-Applying beta-rule and splitting (1133), into two cases. % 15.59/4.13 |-Branch one: % 15.59/4.13 | (1134) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) % 15.59/4.13 | % 15.59/4.13 +-Applying beta-rule and splitting (1134), into two cases. % 15.59/4.13 |-Branch one: % 15.59/4.13 | (1135) all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13) % 15.59/4.13 | % 15.59/4.13 | Applying alpha-rule on (1135) yields: % 15.59/4.13 | (1123) all_0_116_116 = e12 % 15.59/4.13 | (1137) all_0_124_124 = e11 % 15.59/4.13 | (1115) ~ (all_0_117_117 = e13) % 15.59/4.13 | % 15.59/4.13 | Equations (1380) can reduce 1115 to: % 15.59/4.13 | (387) $false % 15.59/4.13 | % 15.59/4.13 |-The branch is then unsatisfiable % 15.59/4.13 |-Branch two: % 15.59/4.13 | (1141) all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13) % 15.59/4.13 | % 15.59/4.13 | Applying alpha-rule on (1141) yields: % 15.59/4.13 | (1123) all_0_116_116 = e12 % 15.59/4.13 | (1071) all_0_128_128 = e10 % 15.59/4.13 | (1115) ~ (all_0_117_117 = e13) % 15.59/4.13 | % 15.59/4.13 | Equations (1380) can reduce 1115 to: % 15.59/4.13 | (387) $false % 15.59/4.13 | % 15.59/4.13 |-The branch is then unsatisfiable % 15.59/4.13 |-Branch two: % 15.59/4.13 | (1146) all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11) % 15.59/4.13 | % 15.59/4.13 | Applying alpha-rule on (1146) yields: % 15.59/4.13 | (1106) all_0_118_118 = e13 % 15.59/4.13 | (1148) all_0_121_121 = e11 % 15.59/4.13 | (1149) ~ (all_0_116_116 = e11) % 15.59/4.13 | % 15.59/4.13 | Combining equations (1092,1148) yields a new equation: % 15.59/4.13 | (1349) e12 = e11 % 15.59/4.13 | % 15.59/4.13 | Simplifying 1349 yields: % 15.59/4.13 | (1150) e12 = e11 % 15.59/4.13 | % 15.59/4.13 | Equations (1150) can reduce 70 to: % 15.59/4.13 | (387) $false % 15.59/4.13 | % 15.59/4.13 |-The branch is then unsatisfiable % 15.59/4.13 |-Branch two: % 15.59/4.13 | (1152) all_0_118_118 = e13 & ~ (all_0_116_116 = e11) % 15.59/4.13 | % 15.59/4.13 | Applying alpha-rule on (1152) yields: % 15.59/4.13 | (1106) all_0_118_118 = e13 % 15.59/4.13 | (1149) ~ (all_0_116_116 = e11) % 15.59/4.13 | % 15.59/4.13 | Combining equations (1106,1207) yields a new equation: % 15.59/4.13 | (1208) e13 = e11 % 15.59/4.13 | % 15.59/4.13 | Simplifying 1208 yields: % 15.59/4.13 | (1139) e13 = e11 % 15.59/4.13 | % 15.59/4.13 | Equations (1139) can reduce 361 to: % 15.59/4.13 | (387) $false % 15.59/4.13 | % 15.59/4.13 |-The branch is then unsatisfiable % 15.59/4.13 |-Branch two: % 15.59/4.13 | (1368) all_0_120_120 = e12 & all_0_125_125 = e13 & ~ (all_0_123_123 = e11) % 15.59/4.13 | % 15.59/4.13 | Applying alpha-rule on (1368) yields: % 15.59/4.13 | (1160) all_0_120_120 = e12 % 15.59/4.13 | (1370) all_0_125_125 = e13 % 15.59/4.13 | (1371) ~ (all_0_123_123 = e11) % 15.59/4.13 | % 15.59/4.13 | Combining equations (1160,1192) yields a new equation: % 15.59/4.13 | (1349) e12 = e11 % 15.59/4.13 | % 15.59/4.13 | Simplifying 1349 yields: % 15.59/4.13 | (1150) e12 = e11 % 15.59/4.13 | % 15.59/4.13 | Equations (1150) can reduce 70 to: % 15.59/4.13 | (387) $false % 15.59/4.13 | % 15.59/4.13 |-The branch is then unsatisfiable % 15.59/4.13 |-Branch two: % 15.59/4.13 | (1373) all_0_125_125 = e13 & all_0_127_127 = e10 & ~ (all_0_123_123 = e11) % 15.59/4.13 | % 15.59/4.13 | Applying alpha-rule on (1373) yields: % 15.59/4.13 | (1370) all_0_125_125 = e13 % 15.59/4.13 | (1077) all_0_127_127 = e10 % 15.59/4.13 | (1371) ~ (all_0_123_123 = e11) % 15.59/4.13 | % 15.59/4.13 | Combining equations (1077,1080) yields a new equation: % 15.59/4.13 | (1361) e13 = e10 % 15.59/4.13 | % 15.59/4.13 | Equations (1361) can reduce 97 to: % 15.59/4.13 | (387) $false % 15.59/4.13 | % 15.59/4.13 |-The branch is then unsatisfiable % 15.59/4.13 |-Branch two: % 15.59/4.13 | (2124) ~ (all_0_124_124 = e11) % 15.59/4.13 | (1217) all_0_125_125 = e11 % 15.59/4.13 | % 15.59/4.13 | Combining equations (1370,1217) yields a new equation: % 15.59/4.13 | (1208) e13 = e11 % 15.59/4.13 | % 15.59/4.13 | Simplifying 1208 yields: % 15.59/4.13 | (1139) e13 = e11 % 15.59/4.13 | % 15.59/4.13 | Equations (1139) can reduce 361 to: % 15.59/4.13 | (387) $false % 15.59/4.13 | % 15.59/4.13 |-The branch is then unsatisfiable % 15.59/4.13 |-Branch two: % 15.59/4.13 | (1318) ~ (all_0_120_120 = e11) % 15.59/4.13 | (1785) all_0_121_121 = e11 | all_0_122_122 = e11 % 15.59/4.13 | % 15.59/4.13 +-Applying beta-rule and splitting (101), into two cases. % 15.59/4.13 |-Branch one: % 15.59/4.13 | (1188) all_0_120_120 = e10 % 15.59/4.13 | % 15.59/4.13 | Equations (1188) can reduce 1186 to: % 15.59/4.13 | (387) $false % 15.59/4.13 | % 15.59/4.13 |-The branch is then unsatisfiable % 15.59/4.13 |-Branch two: % 15.59/4.13 | (1186) ~ (all_0_120_120 = e10) % 15.59/4.13 | (1191) all_0_120_120 = e12 | all_0_120_120 = e11 % 15.59/4.13 | % 15.59/4.13 +-Applying beta-rule and splitting (1326), into two cases. % 15.59/4.13 |-Branch one: % 15.59/4.13 | (1188) all_0_120_120 = e10 % 15.59/4.13 | % 15.59/4.13 | Equations (1188) can reduce 1186 to: % 15.59/4.13 | (387) $false % 15.59/4.13 | % 15.59/4.13 |-The branch is then unsatisfiable % 15.59/4.13 |-Branch two: % 15.59/4.13 | (1186) ~ (all_0_120_120 = e10) % 15.59/4.13 | (1353) all_0_123_123 = e10 | all_0_127_127 = e10 % 15.59/4.13 | % 15.59/4.13 +-Applying beta-rule and splitting (1353), into two cases. % 15.59/4.13 |-Branch one: % 15.59/4.13 | (1354) all_0_123_123 = e10 % 15.59/4.13 | % 15.59/4.13 +-Applying beta-rule and splitting (21), into two cases. % 15.59/4.13 |-Branch one: % 15.59/4.13 | (1348) all_0_123_123 = e11 % 15.59/4.13 | % 15.59/4.13 | Combining equations (1354,1348) yields a new equation: % 15.59/4.13 | (1214) e11 = e10 % 15.59/4.13 | % 15.59/4.13 | Equations (1214) can reduce 253 to: % 15.59/4.13 | (387) $false % 15.59/4.13 | % 15.59/4.13 |-The branch is then unsatisfiable % 15.59/4.13 |-Branch two: % 15.59/4.13 | (1371) ~ (all_0_123_123 = e11) % 15.59/4.13 | (2174) all_0_124_124 = e11 | all_0_125_125 = e11 % 15.59/4.13 | % 15.59/4.14 | Equations (1354) can reduce 1371 to: % 15.59/4.14 | (1199) ~ (e11 = e10) % 15.59/4.14 | % 15.59/4.14 | Simplifying 1199 yields: % 15.59/4.14 | (253) ~ (e11 = e10) % 15.59/4.14 | % 15.59/4.14 +-Applying beta-rule and splitting (1785), into two cases. % 15.59/4.14 |-Branch one: % 15.59/4.14 | (1148) all_0_121_121 = e11 % 15.59/4.14 | % 15.59/4.14 | Combining equations (1148,1092) yields a new equation: % 15.59/4.14 | (1150) e12 = e11 % 15.59/4.14 | % 15.59/4.14 | Equations (1150) can reduce 70 to: % 15.59/4.14 | (387) $false % 15.59/4.14 | % 15.59/4.14 |-The branch is then unsatisfiable % 15.59/4.14 |-Branch two: % 15.59/4.14 | (1657) ~ (all_0_121_121 = e11) % 15.59/4.14 | (1213) all_0_122_122 = e11 % 15.59/4.14 | % 15.59/4.14 | Combining equations (1198,1213) yields a new equation: % 15.59/4.14 | (1214) e11 = e10 % 15.59/4.14 | % 15.59/4.14 | Equations (1214) can reduce 253 to: % 15.59/4.14 | (387) $false % 15.59/4.14 | % 15.59/4.14 |-The branch is then unsatisfiable % 15.59/4.14 |-Branch two: % 15.59/4.14 | (1358) ~ (all_0_123_123 = e10) % 15.59/4.14 | (1077) all_0_127_127 = e10 % 15.59/4.14 | % 15.59/4.14 | Combining equations (1080,1077) yields a new equation: % 15.59/4.14 | (1360) e13 = e10 % 15.59/4.14 | % 15.59/4.14 | Simplifying 1360 yields: % 15.59/4.14 | (1361) e13 = e10 % 15.59/4.14 | % 15.59/4.14 | Equations (1361) can reduce 97 to: % 15.59/4.14 | (387) $false % 15.59/4.14 | % 15.59/4.14 |-The branch is then unsatisfiable % 15.59/4.14 |-Branch two: % 15.59/4.14 | (1115) ~ (all_0_117_117 = e13) % 15.59/4.14 | (1428) all_0_124_124 = e13 | all_0_128_128 = e13 % 15.59/4.14 | % 15.59/4.14 +-Applying beta-rule and splitting (256), into two cases. % 15.59/4.14 |-Branch one: % 15.59/4.14 | (1077) all_0_127_127 = e10 % 15.59/4.14 | % 15.59/4.14 | Combining equations (1080,1077) yields a new equation: % 15.59/4.14 | (1360) e13 = e10 % 15.59/4.14 | % 15.59/4.14 | Simplifying 1360 yields: % 15.59/4.14 | (1361) e13 = e10 % 15.59/4.14 | % 15.59/4.14 | Equations (1361) can reduce 97 to: % 15.59/4.14 | (387) $false % 15.59/4.14 | % 15.59/4.14 |-The branch is then unsatisfiable % 15.59/4.14 |-Branch two: % 15.59/4.14 | (1075) ~ (all_0_127_127 = e10) % 15.59/4.14 | (1071) all_0_128_128 = e10 % 15.59/4.14 | % 15.59/4.14 | Equations (1071) can reduce 2753 to: % 15.59/4.14 | (1173) ~ (e13 = e10) % 15.59/4.14 | % 15.59/4.14 | Simplifying 1173 yields: % 15.59/4.14 | (97) ~ (e13 = e10) % 15.59/4.14 | % 15.59/4.14 +-Applying beta-rule and splitting (1428), into two cases. % 15.59/4.14 |-Branch one: % 15.59/4.14 | (1114) all_0_124_124 = e13 % 15.59/4.14 | % 15.59/4.14 | Equations (1114) can reduce 1382 to: % 15.59/4.14 | (387) $false % 15.59/4.14 | % 15.59/4.14 |-The branch is then unsatisfiable % 15.59/4.14 |-Branch two: % 15.59/4.14 | (1382) ~ (all_0_124_124 = e13) % 15.59/4.14 | (1432) all_0_128_128 = e13 % 15.59/4.14 | % 15.59/4.14 | Combining equations (1432,1071) yields a new equation: % 15.59/4.14 | (1360) e13 = e10 % 15.59/4.14 | % 15.59/4.14 | Simplifying 1360 yields: % 15.59/4.14 | (1361) e13 = e10 % 15.59/4.14 | % 15.59/4.14 | Equations (1361) can reduce 97 to: % 15.59/4.14 | (387) $false % 15.59/4.14 | % 15.59/4.14 |-The branch is then unsatisfiable % 15.59/4.14 |-Branch two: % 15.59/4.14 | (1440) ~ (all_0_127_127 = e13) % 15.59/4.14 | (1432) all_0_128_128 = e13 % 15.59/4.14 | % 15.59/4.14 | Equations (1432) can reduce 68 to: % 15.59/4.14 | (1440) ~ (all_0_127_127 = e13) % 15.59/4.14 | % 15.59/4.14 | Equations (1432) can reduce 74 to: % 15.59/4.14 | (297) ~ (e13 = e12) % 15.59/4.14 | % 15.59/4.14 +-Applying beta-rule and splitting (156), into two cases. % 15.59/4.14 |-Branch one: % 15.59/4.14 | (1077) all_0_127_127 = e10 % 15.59/4.14 | % 15.59/4.14 | Equations (1077) can reduce 1440 to: % 15.59/4.14 | (1173) ~ (e13 = e10) % 15.59/4.14 | % 15.59/4.14 | Simplifying 1173 yields: % 15.59/4.14 | (97) ~ (e13 = e10) % 15.59/4.14 | % 15.59/4.14 +-Applying beta-rule and splitting (338), into two cases. % 15.59/4.14 |-Branch one: % 15.59/4.14 | (1088) all_0_116_116 = e13 % 15.59/4.14 | % 15.59/4.14 | Equations (1088) can reduce 355 to: % 15.59/4.14 | (2902) ~ (all_0_117_117 = e13) % 15.59/4.14 | % 15.59/4.14 | Simplifying 2902 yields: % 15.59/4.14 | (1115) ~ (all_0_117_117 = e13) % 15.59/4.14 | % 15.59/4.14 | Equations (1088) can reduce 230 to: % 15.59/4.14 | (2904) ~ (all_0_123_123 = e13) % 15.59/4.14 | % 15.59/4.14 | Simplifying 2904 yields: % 15.59/4.14 | (1083) ~ (all_0_123_123 = e13) % 15.59/4.14 | % 15.59/4.14 +-Applying beta-rule and splitting (334), into two cases. % 15.59/4.14 |-Branch one: % 15.59/4.14 | (1123) all_0_116_116 = e12 % 15.59/4.14 | % 15.59/4.14 | Combining equations (1123,1088) yields a new equation: % 15.59/4.14 | (1501) e13 = e12 % 15.59/4.14 | % 15.59/4.14 | Equations (1501) can reduce 297 to: % 15.59/4.14 | (387) $false % 15.59/4.14 | % 15.59/4.14 |-The branch is then unsatisfiable % 15.59/4.14 |-Branch two: % 15.59/4.14 | (1122) ~ (all_0_116_116 = e12) % 15.59/4.14 | (1126) all_0_120_120 = e12 | all_0_123_123 = e12 % 15.59/4.14 | % 15.59/4.14 +-Applying beta-rule and splitting (1126), into two cases. % 15.59/4.14 |-Branch one: % 15.59/4.14 | (1160) all_0_120_120 = e12 % 15.59/4.14 | % 15.59/4.14 | Equations (1160) can reduce 40 to: % 15.59/4.14 | (2912) ~ (all_0_121_121 = e12) % 15.59/4.14 | % 15.59/4.14 | Simplifying 2912 yields: % 15.59/4.14 | (2129) ~ (all_0_121_121 = e12) % 15.59/4.14 | % 15.59/4.14 +-Applying beta-rule and splitting (293), into two cases. % 15.59/4.14 |-Branch one: % 15.59/4.14 | (1087) all_0_116_116 = e13 & ( ~ (all_0_125_125 = e13) | all_0_123_123 = e11) % 15.59/4.14 | % 15.59/4.14 | Applying alpha-rule on (1087) yields: % 15.59/4.14 | (1088) all_0_116_116 = e13 % 15.59/4.14 | (1089) ~ (all_0_125_125 = e13) | all_0_123_123 = e11 % 15.59/4.14 | % 15.59/4.14 +-Applying beta-rule and splitting (58), into two cases. % 15.59/4.14 |-Branch one: % 15.59/4.14 | (1155) all_0_117_117 = e12 % 15.59/4.14 | % 15.59/4.14 | Equations (1155) can reduce 1115 to: % 15.59/4.14 | (1578) ~ (e13 = e12) % 15.59/4.14 | % 15.59/4.14 | Simplifying 1578 yields: % 15.59/4.14 | (297) ~ (e13 = e12) % 15.59/4.14 | % 15.59/4.14 | Equations (1155) can reduce 1072 to: % 15.59/4.14 | (130) ~ (e12 = e10) % 15.59/4.14 | % 15.59/4.14 +-Applying beta-rule and splitting (1089), into two cases. % 15.59/4.14 |-Branch one: % 15.59/4.14 | (1108) ~ (all_0_125_125 = e13) % 15.59/4.14 | % 15.59/4.14 | Equations (1370) can reduce 1108 to: % 15.59/4.14 | (387) $false % 15.59/4.14 | % 15.59/4.14 |-The branch is then unsatisfiable % 15.59/4.14 |-Branch two: % 15.59/4.14 | (1370) all_0_125_125 = e13 % 15.59/4.14 | (1348) all_0_123_123 = e11 % 15.59/4.14 | % 15.59/4.14 | Equations (1348) can reduce 1083 to: % 15.59/4.14 | (1195) ~ (e13 = e11) % 15.59/4.14 | % 15.59/4.14 | Simplifying 1195 yields: % 15.59/4.14 | (361) ~ (e13 = e11) % 15.59/4.14 | % 15.59/4.14 +-Applying beta-rule and splitting (71), into two cases. % 15.59/4.14 |-Branch one: % 15.59/4.14 | (1482) all_0_117_117 = e10 % 15.59/4.14 | % 15.59/4.14 | Combining equations (1482,1155) yields a new equation: % 15.59/4.14 | (1169) e12 = e10 % 15.59/4.14 | % 15.59/4.14 | Equations (1169) can reduce 130 to: % 15.59/4.14 | (387) $false % 15.59/4.14 | % 15.59/4.14 |-The branch is then unsatisfiable % 15.59/4.14 |-Branch two: % 15.59/4.14 | (1072) ~ (all_0_117_117 = e10) % 15.59/4.14 | (1485) all_0_121_121 = e10 | all_0_124_124 = e10 | all_0_128_128 = e10 % 15.59/4.14 | % 15.59/4.14 | Equations (1155) can reduce 1072 to: % 15.59/4.14 | (130) ~ (e12 = e10) % 15.59/4.14 | % 15.59/4.14 +-Applying beta-rule and splitting (362), into two cases. % 15.59/4.14 |-Branch one: % 15.59/4.14 | (1131) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) | (all_0_118_118 = e13 & ~ (all_0_116_116 = e11)) | (all_0_120_120 = e12 & all_0_125_125 = e13 & ~ (all_0_123_123 = e11)) % 15.59/4.14 | % 15.59/4.14 +-Applying beta-rule and splitting (1131), into two cases. % 15.59/4.14 |-Branch one: % 15.59/4.14 | (1132) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) | (all_0_118_118 = e13 & ~ (all_0_116_116 = e11)) % 15.59/4.14 | % 15.59/4.14 +-Applying beta-rule and splitting (1132), into two cases. % 15.59/4.14 |-Branch one: % 15.59/4.14 | (1133) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) % 15.59/4.14 | % 15.59/4.14 +-Applying beta-rule and splitting (1133), into two cases. % 15.59/4.14 |-Branch one: % 15.59/4.14 | (1134) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) % 15.59/4.14 | % 15.59/4.14 +-Applying beta-rule and splitting (1134), into two cases. % 15.59/4.14 |-Branch one: % 15.59/4.14 | (1135) all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13) % 15.59/4.14 | % 15.59/4.14 | Applying alpha-rule on (1135) yields: % 15.59/4.14 | (1123) all_0_116_116 = e12 % 15.59/4.14 | (1137) all_0_124_124 = e11 % 15.59/4.14 | (1115) ~ (all_0_117_117 = e13) % 15.59/4.14 | % 15.59/4.14 | Combining equations (1123,1088) yields a new equation: % 15.59/4.14 | (1501) e13 = e12 % 15.59/4.14 | % 15.59/4.14 | Equations (1501) can reduce 297 to: % 15.59/4.14 | (387) $false % 15.59/4.14 | % 15.59/4.14 |-The branch is then unsatisfiable % 15.59/4.14 |-Branch two: % 15.59/4.14 | (1141) all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13) % 15.59/4.14 | % 15.59/4.14 | Applying alpha-rule on (1141) yields: % 15.59/4.14 | (1123) all_0_116_116 = e12 % 15.59/4.14 | (1071) all_0_128_128 = e10 % 15.59/4.14 | (1115) ~ (all_0_117_117 = e13) % 15.59/4.14 | % 15.59/4.14 | Combining equations (1123,1088) yields a new equation: % 15.59/4.14 | (1501) e13 = e12 % 15.59/4.14 | % 15.59/4.14 | Combining equations (1071,1432) yields a new equation: % 15.59/4.14 | (1361) e13 = e10 % 15.59/4.14 | % 15.59/4.14 | Combining equations (1361,1501) yields a new equation: % 15.59/4.15 | (1169) e12 = e10 % 15.59/4.15 | % 15.59/4.15 | Equations (1169) can reduce 130 to: % 15.59/4.15 | (387) $false % 15.59/4.15 | % 15.59/4.15 |-The branch is then unsatisfiable % 15.59/4.15 |-Branch two: % 15.59/4.15 | (1146) all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11) % 15.59/4.15 | % 15.59/4.15 | Applying alpha-rule on (1146) yields: % 15.59/4.15 | (1106) all_0_118_118 = e13 % 15.59/4.15 | (1148) all_0_121_121 = e11 % 15.59/4.15 | (1149) ~ (all_0_116_116 = e11) % 15.59/4.15 | % 15.59/4.15 | Combining equations (1106,1207) yields a new equation: % 15.59/4.15 | (1208) e13 = e11 % 15.59/4.15 | % 15.59/4.15 | Simplifying 1208 yields: % 15.59/4.15 | (1139) e13 = e11 % 15.59/4.15 | % 15.59/4.15 | Equations (1139) can reduce 361 to: % 15.59/4.15 | (387) $false % 15.59/4.15 | % 15.59/4.15 |-The branch is then unsatisfiable % 15.59/4.15 |-Branch two: % 15.59/4.15 | (1152) all_0_118_118 = e13 & ~ (all_0_116_116 = e11) % 15.59/4.15 | % 15.59/4.15 | Applying alpha-rule on (1152) yields: % 15.59/4.15 | (1106) all_0_118_118 = e13 % 15.59/4.15 | (1149) ~ (all_0_116_116 = e11) % 15.59/4.15 | % 15.59/4.15 | Combining equations (1106,1207) yields a new equation: % 15.59/4.15 | (1208) e13 = e11 % 15.59/4.15 | % 15.59/4.15 | Simplifying 1208 yields: % 15.59/4.15 | (1139) e13 = e11 % 15.59/4.15 | % 15.59/4.15 | Equations (1139) can reduce 361 to: % 15.59/4.15 | (387) $false % 15.59/4.15 | % 15.59/4.15 |-The branch is then unsatisfiable % 15.59/4.15 |-Branch two: % 15.59/4.15 | (1368) all_0_120_120 = e12 & all_0_125_125 = e13 & ~ (all_0_123_123 = e11) % 15.59/4.15 | % 15.59/4.15 | Applying alpha-rule on (1368) yields: % 15.59/4.15 | (1160) all_0_120_120 = e12 % 15.59/4.15 | (1370) all_0_125_125 = e13 % 15.59/4.15 | (1371) ~ (all_0_123_123 = e11) % 15.59/4.15 | % 15.59/4.15 | Equations (1348) can reduce 1371 to: % 15.59/4.15 | (387) $false % 15.59/4.15 | % 15.59/4.15 |-The branch is then unsatisfiable % 15.59/4.15 |-Branch two: % 15.59/4.15 | (1373) all_0_125_125 = e13 & all_0_127_127 = e10 & ~ (all_0_123_123 = e11) % 15.59/4.15 | % 15.59/4.15 | Applying alpha-rule on (1373) yields: % 15.59/4.15 | (1370) all_0_125_125 = e13 % 15.59/4.15 | (1077) all_0_127_127 = e10 % 15.59/4.15 | (1371) ~ (all_0_123_123 = e11) % 15.59/4.15 | % 15.59/4.15 | Equations (1348) can reduce 1371 to: % 15.59/4.15 | (387) $false % 15.59/4.15 | % 15.59/4.15 |-The branch is then unsatisfiable % 15.59/4.15 |-Branch two: % 15.59/4.15 | (1094) ~ (all_0_117_117 = e12) % 15.59/4.15 | (1801) all_0_121_121 = e12 | all_0_124_124 = e12 % 15.59/4.15 | % 15.59/4.15 +-Applying beta-rule and splitting (1801), into two cases. % 15.59/4.15 |-Branch one: % 15.59/4.15 | (1092) all_0_121_121 = e12 % 15.59/4.15 | % 15.59/4.15 | Equations (1092) can reduce 2129 to: % 15.59/4.15 | (387) $false % 15.59/4.15 | % 15.59/4.15 |-The branch is then unsatisfiable % 15.59/4.15 |-Branch two: % 15.59/4.15 | (2129) ~ (all_0_121_121 = e12) % 15.59/4.15 | (2045) all_0_124_124 = e12 % 15.59/4.15 | % 15.59/4.15 | Equations (2045) can reduce 1867 to: % 15.59/4.15 | (387) $false % 15.59/4.15 | % 15.59/4.15 |-The branch is then unsatisfiable % 15.59/4.15 |-Branch two: % 15.59/4.15 | (1091) all_0_121_121 = e12 & ( ~ (all_0_116_116 = e12) | all_0_117_117 = e13) % 15.59/4.15 | % 15.59/4.15 | Applying alpha-rule on (1091) yields: % 15.59/4.15 | (1092) all_0_121_121 = e12 % 15.59/4.15 | (1093) ~ (all_0_116_116 = e12) | all_0_117_117 = e13 % 15.59/4.15 | % 15.59/4.15 | Equations (1092) can reduce 2129 to: % 15.59/4.15 | (387) $false % 15.59/4.15 | % 15.59/4.15 |-The branch is then unsatisfiable % 15.59/4.15 |-Branch two: % 15.59/4.15 | (1095) ~ (all_0_120_120 = e12) % 15.59/4.15 | (1163) all_0_123_123 = e12 % 15.59/4.15 | % 15.59/4.15 | Equations (1163) can reduce 1468 to: % 15.59/4.15 | (387) $false % 15.59/4.15 | % 15.59/4.15 |-The branch is then unsatisfiable % 15.59/4.15 |-Branch two: % 15.59/4.15 | (1081) ~ (all_0_116_116 = e13) % 15.59/4.15 | (1593) all_0_117_117 = e13 | all_0_118_118 = e13 % 15.59/4.15 | % 15.59/4.15 +-Applying beta-rule and splitting (210), into two cases. % 15.59/4.15 |-Branch one: % 15.59/4.15 | (1088) all_0_116_116 = e13 % 15.59/4.15 | % 15.59/4.15 | Equations (1088) can reduce 1081 to: % 15.59/4.15 | (387) $false % 15.59/4.15 | % 15.59/4.15 |-The branch is then unsatisfiable % 15.59/4.15 |-Branch two: % 15.59/4.15 | (1081) ~ (all_0_116_116 = e13) % 15.59/4.15 | (2019) all_0_123_123 = e13 | all_0_127_127 = e13 % 15.59/4.15 | % 15.59/4.15 +-Applying beta-rule and splitting (2019), into two cases. % 15.59/4.15 |-Branch one: % 15.59/4.15 | (1110) all_0_123_123 = e13 % 15.59/4.15 | % 15.59/4.15 | Equations (1110) can reduce 1083 to: % 15.59/4.15 | (387) $false % 15.59/4.15 | % 15.59/4.15 |-The branch is then unsatisfiable % 15.59/4.15 |-Branch two: % 15.59/4.15 | (1083) ~ (all_0_123_123 = e13) % 15.59/4.15 | (1080) all_0_127_127 = e13 % 15.59/4.15 | % 15.59/4.15 | Combining equations (1077,1080) yields a new equation: % 15.59/4.15 | (1361) e13 = e10 % 15.59/4.15 | % 15.59/4.15 | Equations (1361) can reduce 97 to: % 15.59/4.15 | (387) $false % 15.59/4.15 | % 15.59/4.15 |-The branch is then unsatisfiable % 15.59/4.15 |-Branch two: % 15.59/4.15 | (1075) ~ (all_0_127_127 = e10) % 15.59/4.15 | (1080) all_0_127_127 = e13 % 15.59/4.15 | % 15.59/4.15 | Equations (1080) can reduce 1440 to: % 15.59/4.15 | (387) $false % 15.59/4.15 | % 15.59/4.15 |-The branch is then unsatisfiable % 15.59/4.15 |-Branch two: % 15.59/4.15 | (1211) ~ (all_0_118_118 = e11) % 15.59/4.15 | (1212) all_0_122_122 = e11 | all_0_125_125 = e11 % 15.59/4.15 | % 15.59/4.15 +-Applying beta-rule and splitting (1772), into two cases. % 15.59/4.15 |-Branch one: % 15.59/4.15 | (1106) all_0_118_118 = e13 % 15.59/4.15 | % 15.59/4.15 | Equations (1106) can reduce 1385 to: % 15.59/4.15 | (387) $false % 15.59/4.15 | % 15.59/4.15 |-The branch is then unsatisfiable % 15.59/4.15 |-Branch two: % 15.59/4.15 | (1385) ~ (all_0_118_118 = e13) % 15.59/4.15 | (1207) all_0_118_118 = e11 % 15.59/4.15 | % 15.59/4.15 | Equations (1207) can reduce 1211 to: % 15.59/4.15 | (387) $false % 15.59/4.15 | % 15.59/4.15 |-The branch is then unsatisfiable % 15.59/4.15 |-Branch two: % 15.59/4.15 | (1315) ~ (all_0_122_122 = e10) % 15.59/4.15 | (1703) all_0_125_125 = e10 % 15.59/4.15 | % 15.59/4.15 | Combining equations (1370,1703) yields a new equation: % 15.59/4.15 | (1360) e13 = e10 % 15.59/4.15 | % 15.59/4.15 | Simplifying 1360 yields: % 15.59/4.15 | (1361) e13 = e10 % 15.59/4.15 | % 15.59/4.15 | Equations (1361) can reduce 97 to: % 15.59/4.15 | (387) $false % 15.59/4.15 | % 15.59/4.15 |-The branch is then unsatisfiable % 15.59/4.15 |-Branch two: % 15.59/4.15 | (1171) ~ (all_0_119_119 = e10) % 15.59/4.15 | (1172) all_0_126_126 = e10 % 15.59/4.15 | % 15.59/4.15 | Equations (1172) can reduce 112 to: % 15.59/4.15 | (1171) ~ (all_0_119_119 = e10) % 15.59/4.15 | % 15.59/4.15 | Equations (1172) can reduce 201 to: % 15.59/4.15 | (1358) ~ (all_0_123_123 = e10) % 15.59/4.15 | % 15.59/4.15 | From (1172) and (67) follows: % 15.59/4.15 | (1177) h1(e10) = all_0_94_94 % 15.59/4.15 | % 15.59/4.15 +-Applying beta-rule and splitting (296), into two cases. % 15.59/4.15 |-Branch one: % 15.59/4.15 | (1168) all_0_119_119 = e10 % 15.59/4.15 | % 15.59/4.15 | Equations (1168) can reduce 1171 to: % 15.59/4.15 | (387) $false % 15.59/4.15 | % 15.59/4.15 |-The branch is then unsatisfiable % 15.59/4.15 |-Branch two: % 15.59/4.15 | (1171) ~ (all_0_119_119 = e10) % 15.59/4.15 | (1158) all_0_119_119 = e12 % 15.59/4.15 | % 15.59/4.15 | Equations (1158) can reduce 158 to: % 15.59/4.15 | (1122) ~ (all_0_116_116 = e12) % 15.59/4.15 | % 15.59/4.15 | Equations (1158) can reduce 144 to: % 15.59/4.15 | (164) ~ (all_0_118_118 = e12) % 15.59/4.15 | % 15.59/4.15 | Equations (1158) can reduce 239 to: % 15.59/4.15 | (70) ~ (e12 = e11) % 15.59/4.15 | % 15.59/4.15 | From (1158) and (183) follows: % 15.59/4.15 | (1159) h1(e12) = all_0_87_87 % 15.59/4.15 | % 15.59/4.15 | Instantiating formula (193) with e12, all_0_87_87, e22 and discharging atoms h1(e12) = all_0_87_87, h1(e12) = e22, yields: % 15.59/4.15 | (1221) all_0_87_87 = e22 % 15.59/4.15 | % 15.59/4.15 | Instantiating formula (193) with e10, all_0_94_94, e20 and discharging atoms h1(e10) = all_0_94_94, h1(e10) = e20, yields: % 15.59/4.15 | (1237) all_0_94_94 = e20 % 15.59/4.15 | % 15.59/4.15 | From (1221) and (1159) follows: % 15.59/4.15 | (146) h1(e12) = e22 % 15.59/4.15 | % 15.59/4.15 | From (1237) and (1177) follows: % 15.59/4.15 | (75) h1(e10) = e20 % 15.59/4.15 | % 15.59/4.15 +-Applying beta-rule and splitting (203), into two cases. % 15.59/4.15 |-Branch one: % 15.59/4.15 | (1071) all_0_128_128 = e10 % 15.59/4.15 | % 15.59/4.15 | Equations (1071) can reduce 324 to: % 15.59/4.15 | (1072) ~ (all_0_117_117 = e10) % 15.59/4.15 | % 15.59/4.15 | Equations (1071) can reduce 68 to: % 15.59/4.15 | (1075) ~ (all_0_127_127 = e10) % 15.59/4.15 | % 15.59/4.15 +-Applying beta-rule and splitting (156), into two cases. % 15.59/4.15 |-Branch one: % 15.59/4.15 | (1077) all_0_127_127 = e10 % 15.59/4.15 | % 15.59/4.15 | Equations (1077) can reduce 1075 to: % 15.59/4.15 | (387) $false % 15.59/4.15 | % 15.59/4.15 |-The branch is then unsatisfiable % 15.59/4.15 |-Branch two: % 15.59/4.15 | (1075) ~ (all_0_127_127 = e10) % 15.59/4.15 | (1080) all_0_127_127 = e13 % 15.59/4.15 | % 15.59/4.15 | Equations (1080) can reduce 120 to: % 15.59/4.15 | (1081) ~ (all_0_116_116 = e13) % 15.59/4.15 | % 15.59/4.15 | Equations (1080) can reduce 222 to: % 15.59/4.15 | (1083) ~ (all_0_123_123 = e13) % 15.59/4.15 | % 15.59/4.15 | Equations (1080) can reduce 171 to: % 15.59/4.15 | (361) ~ (e13 = e11) % 15.59/4.15 | % 15.59/4.15 | Equations (1080) can reduce 1075 to: % 15.59/4.15 | (97) ~ (e13 = e10) % 15.59/4.15 | % 15.59/4.15 +-Applying beta-rule and splitting (293), into two cases. % 15.59/4.15 |-Branch one: % 15.59/4.15 | (1087) all_0_116_116 = e13 & ( ~ (all_0_125_125 = e13) | all_0_123_123 = e11) % 15.59/4.15 | % 15.59/4.15 | Applying alpha-rule on (1087) yields: % 15.59/4.15 | (1088) all_0_116_116 = e13 % 15.59/4.16 | (1089) ~ (all_0_125_125 = e13) | all_0_123_123 = e11 % 15.59/4.16 | % 15.59/4.16 | Equations (1088) can reduce 1081 to: % 15.59/4.16 | (387) $false % 15.59/4.16 | % 15.59/4.16 |-The branch is then unsatisfiable % 15.59/4.16 |-Branch two: % 15.59/4.16 | (1091) all_0_121_121 = e12 & ( ~ (all_0_116_116 = e12) | all_0_117_117 = e13) % 15.59/4.16 | % 15.59/4.16 | Applying alpha-rule on (1091) yields: % 15.59/4.16 | (1092) all_0_121_121 = e12 % 15.59/4.16 | (1093) ~ (all_0_116_116 = e12) | all_0_117_117 = e13 % 15.59/4.16 | % 15.59/4.16 +-Applying beta-rule and splitting (186), into two cases. % 15.59/4.16 |-Branch one: % 15.59/4.16 | (1380) all_0_117_117 = e13 % 15.59/4.16 | % 15.59/4.16 | Equations (1380) can reduce 111 to: % 15.59/4.16 | (1389) ~ (all_0_118_118 = e13) % 15.59/4.16 | % 15.59/4.16 | Simplifying 1389 yields: % 15.59/4.16 | (1385) ~ (all_0_118_118 = e13) % 15.59/4.16 | % 15.59/4.16 | Equations (1380) can reduce 1072 to: % 15.59/4.16 | (97) ~ (e13 = e10) % 15.59/4.16 | % 15.59/4.16 +-Applying beta-rule and splitting (275), into two cases. % 15.59/4.16 |-Branch one: % 15.59/4.16 | (1163) all_0_123_123 = e12 % 15.59/4.16 | % 15.59/4.16 | Equations (1163) can reduce 303 to: % 15.59/4.16 | (1095) ~ (all_0_120_120 = e12) % 15.59/4.16 | % 15.59/4.16 +-Applying beta-rule and splitting (362), into two cases. % 15.59/4.16 |-Branch one: % 15.59/4.16 | (1131) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) | (all_0_118_118 = e13 & ~ (all_0_116_116 = e11)) | (all_0_120_120 = e12 & all_0_125_125 = e13 & ~ (all_0_123_123 = e11)) % 15.59/4.16 | % 15.59/4.16 +-Applying beta-rule and splitting (1131), into two cases. % 15.59/4.16 |-Branch one: % 15.59/4.16 | (1132) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) | (all_0_118_118 = e13 & ~ (all_0_116_116 = e11)) % 15.59/4.16 | % 15.59/4.16 +-Applying beta-rule and splitting (1132), into two cases. % 15.59/4.16 |-Branch one: % 15.59/4.16 | (1133) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) % 15.59/4.16 | % 15.59/4.16 +-Applying beta-rule and splitting (1133), into two cases. % 15.59/4.16 |-Branch one: % 15.59/4.16 | (1134) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) % 15.59/4.16 | % 15.59/4.16 +-Applying beta-rule and splitting (1134), into two cases. % 15.59/4.16 |-Branch one: % 15.59/4.16 | (1135) all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13) % 15.59/4.16 | % 15.59/4.16 | Applying alpha-rule on (1135) yields: % 15.59/4.16 | (1123) all_0_116_116 = e12 % 15.59/4.16 | (1137) all_0_124_124 = e11 % 15.59/4.16 | (1115) ~ (all_0_117_117 = e13) % 15.59/4.16 | % 15.59/4.16 | Equations (1380) can reduce 1115 to: % 15.59/4.16 | (387) $false % 15.59/4.16 | % 15.59/4.16 |-The branch is then unsatisfiable % 15.59/4.16 |-Branch two: % 15.59/4.16 | (1141) all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13) % 15.59/4.16 | % 15.59/4.16 | Applying alpha-rule on (1141) yields: % 15.59/4.16 | (1123) all_0_116_116 = e12 % 15.59/4.16 | (1071) all_0_128_128 = e10 % 15.59/4.16 | (1115) ~ (all_0_117_117 = e13) % 15.59/4.16 | % 15.59/4.16 | Equations (1380) can reduce 1115 to: % 15.59/4.16 | (387) $false % 15.59/4.16 | % 15.59/4.16 |-The branch is then unsatisfiable % 15.59/4.16 |-Branch two: % 15.59/4.16 | (1146) all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11) % 15.59/4.16 | % 15.59/4.16 | Applying alpha-rule on (1146) yields: % 15.59/4.16 | (1106) all_0_118_118 = e13 % 15.59/4.16 | (1148) all_0_121_121 = e11 % 15.59/4.16 | (1149) ~ (all_0_116_116 = e11) % 15.59/4.16 | % 15.59/4.16 | Combining equations (1092,1148) yields a new equation: % 15.59/4.16 | (1349) e12 = e11 % 15.59/4.16 | % 15.59/4.16 | Simplifying 1349 yields: % 15.59/4.16 | (1150) e12 = e11 % 15.59/4.16 | % 15.59/4.16 | Equations (1150) can reduce 70 to: % 15.59/4.16 | (387) $false % 15.59/4.16 | % 15.59/4.16 |-The branch is then unsatisfiable % 15.59/4.16 |-Branch two: % 15.59/4.16 | (1152) all_0_118_118 = e13 & ~ (all_0_116_116 = e11) % 15.59/4.16 | % 15.59/4.16 | Applying alpha-rule on (1152) yields: % 15.59/4.16 | (1106) all_0_118_118 = e13 % 15.59/4.16 | (1149) ~ (all_0_116_116 = e11) % 15.59/4.16 | % 15.59/4.16 | Equations (1106) can reduce 1385 to: % 15.59/4.16 | (387) $false % 15.59/4.16 | % 15.59/4.16 |-The branch is then unsatisfiable % 15.59/4.16 |-Branch two: % 15.59/4.16 | (1368) all_0_120_120 = e12 & all_0_125_125 = e13 & ~ (all_0_123_123 = e11) % 15.59/4.16 | % 15.59/4.16 | Applying alpha-rule on (1368) yields: % 15.59/4.16 | (1160) all_0_120_120 = e12 % 15.59/4.16 | (1370) all_0_125_125 = e13 % 15.59/4.16 | (1371) ~ (all_0_123_123 = e11) % 15.59/4.16 | % 15.59/4.16 | Equations (1160) can reduce 1095 to: % 15.59/4.16 | (387) $false % 15.59/4.16 | % 15.59/4.16 |-The branch is then unsatisfiable % 15.59/4.16 |-Branch two: % 15.59/4.16 | (1373) all_0_125_125 = e13 & all_0_127_127 = e10 & ~ (all_0_123_123 = e11) % 15.59/4.16 | % 15.59/4.16 | Applying alpha-rule on (1373) yields: % 15.59/4.16 | (1370) all_0_125_125 = e13 % 15.59/4.16 | (1077) all_0_127_127 = e10 % 15.59/4.16 | (1371) ~ (all_0_123_123 = e11) % 15.59/4.16 | % 15.59/4.16 | Combining equations (1077,1080) yields a new equation: % 15.59/4.16 | (1361) e13 = e10 % 15.59/4.16 | % 15.59/4.16 | Equations (1361) can reduce 97 to: % 15.59/4.16 | (387) $false % 15.59/4.16 | % 15.59/4.16 |-The branch is then unsatisfiable % 15.59/4.16 |-Branch two: % 15.59/4.16 | (1468) ~ (all_0_123_123 = e12) % 15.59/4.16 | (2044) all_0_124_124 = e12 | all_0_126_126 = e12 % 15.59/4.16 | % 15.59/4.16 +-Applying beta-rule and splitting (274), into two cases. % 15.59/4.16 |-Branch one: % 15.59/4.16 | (1354) all_0_123_123 = e10 % 15.59/4.16 | % 15.59/4.16 | Equations (1354) can reduce 1358 to: % 15.59/4.16 | (387) $false % 15.59/4.16 | % 15.59/4.16 |-The branch is then unsatisfiable % 15.59/4.16 |-Branch two: % 15.59/4.16 | (1358) ~ (all_0_123_123 = e10) % 15.59/4.16 | (2107) all_0_123_123 = e13 | all_0_123_123 = e12 | all_0_123_123 = e11 % 15.59/4.16 | % 15.59/4.16 +-Applying beta-rule and splitting (2107), into two cases. % 15.59/4.16 |-Branch one: % 15.59/4.16 | (1110) all_0_123_123 = e13 % 15.59/4.16 | % 15.59/4.16 | Equations (1110) can reduce 1083 to: % 15.59/4.16 | (387) $false % 15.59/4.16 | % 15.59/4.16 |-The branch is then unsatisfiable % 15.59/4.16 |-Branch two: % 15.59/4.16 | (1083) ~ (all_0_123_123 = e13) % 15.59/4.16 | (3101) all_0_123_123 = e12 | all_0_123_123 = e11 % 15.59/4.16 | % 15.59/4.16 +-Applying beta-rule and splitting (317), into two cases. % 15.59/4.16 |-Branch one: % 15.59/4.16 | (1202) all_0_117_117 = e11 % 15.59/4.16 | % 15.59/4.16 | Combining equations (1380,1202) yields a new equation: % 15.59/4.16 | (1208) e13 = e11 % 15.59/4.16 | % 15.59/4.16 | Simplifying 1208 yields: % 15.59/4.16 | (1139) e13 = e11 % 15.59/4.16 | % 15.59/4.16 | Equations (1139) can reduce 361 to: % 15.59/4.16 | (387) $false % 15.59/4.16 | % 15.59/4.16 |-The branch is then unsatisfiable % 15.59/4.16 |-Branch two: % 15.59/4.16 | (1292) ~ (all_0_117_117 = e11) % 15.59/4.16 | (1293) all_0_121_121 = e11 | all_0_124_124 = e11 % 15.59/4.16 | % 15.59/4.16 +-Applying beta-rule and splitting (1293), into two cases. % 15.59/4.16 |-Branch one: % 15.59/4.16 | (1148) all_0_121_121 = e11 % 15.59/4.16 | % 15.59/4.16 | Combining equations (1092,1148) yields a new equation: % 15.59/4.16 | (1349) e12 = e11 % 15.59/4.16 | % 15.59/4.16 | Simplifying 1349 yields: % 15.59/4.16 | (1150) e12 = e11 % 15.59/4.16 | % 15.59/4.16 | Equations (1150) can reduce 70 to: % 15.59/4.16 | (387) $false % 15.59/4.16 | % 15.59/4.16 |-The branch is then unsatisfiable % 15.59/4.16 |-Branch two: % 15.59/4.16 | (1657) ~ (all_0_121_121 = e11) % 15.59/4.16 | (1137) all_0_124_124 = e11 % 15.59/4.16 | % 15.59/4.16 | Equations (1137) can reduce 116 to: % 15.59/4.16 | (1371) ~ (all_0_123_123 = e11) % 15.59/4.16 | % 15.59/4.16 +-Applying beta-rule and splitting (3101), into two cases. % 15.59/4.16 |-Branch one: % 15.59/4.16 | (1348) all_0_123_123 = e11 % 15.59/4.16 | % 15.59/4.16 | Equations (1348) can reduce 1371 to: % 15.59/4.16 | (387) $false % 15.59/4.16 | % 15.59/4.16 |-The branch is then unsatisfiable % 15.59/4.16 |-Branch two: % 15.59/4.16 | (1371) ~ (all_0_123_123 = e11) % 15.59/4.16 | (1163) all_0_123_123 = e12 % 15.59/4.16 | % 15.59/4.16 | Equations (1163) can reduce 1468 to: % 15.59/4.16 | (387) $false % 15.59/4.16 | % 15.59/4.16 |-The branch is then unsatisfiable % 15.59/4.16 |-Branch two: % 15.59/4.16 | (1115) ~ (all_0_117_117 = e13) % 15.59/4.16 | (1428) all_0_124_124 = e13 | all_0_128_128 = e13 % 15.59/4.16 | % 15.59/4.16 +-Applying beta-rule and splitting (1428), into two cases. % 15.59/4.16 |-Branch one: % 15.59/4.16 | (1114) all_0_124_124 = e13 % 15.59/4.16 | % 15.59/4.16 | Equations (1114) can reduce 1382 to: % 15.59/4.16 | (387) $false % 15.59/4.16 | % 15.59/4.16 |-The branch is then unsatisfiable % 15.59/4.16 |-Branch two: % 15.59/4.16 | (1382) ~ (all_0_124_124 = e13) % 15.59/4.16 | (1432) all_0_128_128 = e13 % 15.59/4.16 | % 15.59/4.16 | Combining equations (1071,1432) yields a new equation: % 15.59/4.16 | (1361) e13 = e10 % 15.59/4.16 | % 15.59/4.16 | Equations (1361) can reduce 97 to: % 15.59/4.16 | (387) $false % 15.59/4.16 | % 15.59/4.16 |-The branch is then unsatisfiable % 15.59/4.16 |-Branch two: % 15.59/4.16 | (1435) ~ (all_0_128_128 = e10) % 15.59/4.16 | (1432) all_0_128_128 = e13 % 15.59/4.16 | % 15.59/4.16 | Equations (1432) can reduce 324 to: % 15.59/4.16 | (1115) ~ (all_0_117_117 = e13) % 15.59/4.16 | % 15.59/4.16 | Equations (1432) can reduce 109 to: % 15.59/4.16 | (361) ~ (e13 = e11) % 15.59/4.16 | % 15.59/4.16 | Equations (1432) can reduce 1435 to: % 15.59/4.16 | (97) ~ (e13 = e10) % 15.59/4.16 | % 15.59/4.16 | From (1432) and (106) follows: % 15.59/4.16 | (3133) h1(e13) = all_0_96_96 % 15.59/4.16 | % 15.59/4.16 +-Applying beta-rule and splitting (256), into two cases. % 15.59/4.16 |-Branch one: % 15.59/4.16 | (1077) all_0_127_127 = e10 % 15.59/4.16 | % 15.59/4.16 | Equations (1077) can reduce 165 to: % 15.59/4.16 | (1186) ~ (all_0_120_120 = e10) % 15.59/4.16 | % 15.59/4.16 | Equations (1077) can reduce 222 to: % 15.59/4.16 | (1358) ~ (all_0_123_123 = e10) % 15.59/4.16 | % 15.59/4.16 | Equations (1077) can reduce 25 to: % 15.59/4.17 | (1175) ~ (e12 = e10) % 15.59/4.17 | % 15.59/4.17 | Simplifying 1175 yields: % 15.59/4.17 | (130) ~ (e12 = e10) % 15.59/4.17 | % 15.59/4.17 | From (1077) and (270) follows: % 15.59/4.17 | (3139) h1(e10) = all_0_95_95 % 15.59/4.17 | % 15.59/4.17 +-Applying beta-rule and splitting (338), into two cases. % 15.59/4.17 |-Branch one: % 15.59/4.17 | (1088) all_0_116_116 = e13 % 15.59/4.17 | % 15.59/4.17 | Equations (1088) can reduce 178 to: % 15.59/4.17 | (1389) ~ (all_0_118_118 = e13) % 15.59/4.17 | % 15.59/4.17 | Simplifying 1389 yields: % 15.59/4.17 | (1385) ~ (all_0_118_118 = e13) % 15.59/4.17 | % 15.59/4.17 | Equations (1088) can reduce 267 to: % 15.59/4.17 | (1762) ~ (all_0_120_120 = e13) % 15.59/4.17 | % 15.59/4.17 | Simplifying 1762 yields: % 15.59/4.17 | (48) ~ (all_0_120_120 = e13) % 15.59/4.17 | % 15.59/4.17 | Equations (1088) can reduce 1122 to: % 15.59/4.17 | (297) ~ (e13 = e12) % 15.59/4.17 | % 15.59/4.17 | From (1088) and (333) follows: % 15.59/4.17 | (3146) h1(e13) = all_0_84_84 % 15.59/4.17 | % 15.59/4.17 +-Applying beta-rule and splitting (362), into two cases. % 15.59/4.17 |-Branch one: % 15.59/4.17 | (1131) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) | (all_0_118_118 = e13 & ~ (all_0_116_116 = e11)) | (all_0_120_120 = e12 & all_0_125_125 = e13 & ~ (all_0_123_123 = e11)) % 15.59/4.17 | % 15.59/4.17 +-Applying beta-rule and splitting (1131), into two cases. % 15.59/4.17 |-Branch one: % 15.59/4.17 | (1132) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) | (all_0_118_118 = e13 & ~ (all_0_116_116 = e11)) % 15.59/4.17 | % 15.59/4.17 +-Applying beta-rule and splitting (1132), into two cases. % 15.59/4.17 |-Branch one: % 15.59/4.17 | (1133) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) | (all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11)) % 15.59/4.17 | % 15.59/4.17 +-Applying beta-rule and splitting (1133), into two cases. % 15.59/4.17 |-Branch one: % 15.59/4.17 | (1134) (all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13)) | (all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13)) % 15.59/4.17 | % 15.59/4.17 +-Applying beta-rule and splitting (1134), into two cases. % 15.59/4.17 |-Branch one: % 15.59/4.17 | (1135) all_0_116_116 = e12 & all_0_124_124 = e11 & ~ (all_0_117_117 = e13) % 15.59/4.17 | % 15.59/4.17 | Applying alpha-rule on (1135) yields: % 15.59/4.17 | (1123) all_0_116_116 = e12 % 15.59/4.17 | (1137) all_0_124_124 = e11 % 15.59/4.17 | (1115) ~ (all_0_117_117 = e13) % 15.59/4.17 | % 15.59/4.17 | Combining equations (1123,1088) yields a new equation: % 15.59/4.17 | (1501) e13 = e12 % 15.59/4.17 | % 15.59/4.17 | Equations (1501) can reduce 297 to: % 15.59/4.17 | (387) $false % 15.59/4.17 | % 15.59/4.17 |-The branch is then unsatisfiable % 15.59/4.17 |-Branch two: % 15.59/4.17 | (1141) all_0_116_116 = e12 & all_0_128_128 = e10 & ~ (all_0_117_117 = e13) % 15.59/4.17 | % 15.59/4.17 | Applying alpha-rule on (1141) yields: % 15.59/4.17 | (1123) all_0_116_116 = e12 % 15.59/4.17 | (1071) all_0_128_128 = e10 % 15.59/4.17 | (1115) ~ (all_0_117_117 = e13) % 15.59/4.17 | % 15.59/4.17 | Combining equations (1123,1088) yields a new equation: % 15.59/4.17 | (1501) e13 = e12 % 15.59/4.17 | % 15.59/4.17 | Combining equations (1432,1071) yields a new equation: % 15.59/4.17 | (1360) e13 = e10 % 15.59/4.17 | % 15.59/4.17 | Simplifying 1360 yields: % 15.59/4.17 | (1361) e13 = e10 % 15.59/4.17 | % 15.59/4.17 | Combining equations (1361,1501) yields a new equation: % 15.59/4.17 | (1169) e12 = e10 % 15.59/4.17 | % 15.59/4.17 | Equations (1169) can reduce 130 to: % 15.59/4.17 | (387) $false % 15.59/4.17 | % 15.59/4.17 |-The branch is then unsatisfiable % 15.59/4.17 |-Branch two: % 15.59/4.17 | (1146) all_0_118_118 = e13 & all_0_121_121 = e11 & ~ (all_0_116_116 = e11) % 15.59/4.17 | % 15.59/4.17 | Applying alpha-rule on (1146) yields: % 15.59/4.17 | (1106) all_0_118_118 = e13 % 15.59/4.17 | (1148) all_0_121_121 = e11 % 15.59/4.17 | (1149) ~ (all_0_116_116 = e11) % 15.59/4.17 | % 15.59/4.17 | Equations (1106) can reduce 1385 to: % 15.59/4.17 | (387) $false % 15.59/4.17 | % 15.59/4.17 |-The branch is then unsatisfiable % 15.59/4.17 |-Branch two: % 15.59/4.17 | (1152) all_0_118_118 = e13 & ~ (all_0_116_116 = e11) % 15.59/4.17 | % 15.59/4.17 | Applying alpha-rule on (1152) yields: % 15.59/4.17 | (1106) all_0_118_118 = e13 % 15.59/4.17 | (1149) ~ (all_0_116_116 = e11) % 15.59/4.17 | % 15.59/4.17 | Equations (1106) can reduce 1385 to: % 15.59/4.17 | (387) $false % 15.59/4.17 | % 15.59/4.17 |-The branch is then unsatisfiable % 15.59/4.17 |-Branch two: % 15.59/4.17 | (1368) all_0_120_120 = e12 & all_0_125_125 = e13 & ~ (all_0_123_123 = e11) % 15.59/4.17 | % 15.59/4.17 | Applying alpha-rule on (1368) yields: % 15.59/4.17 | (1160) all_0_120_120 = e12 % 15.59/4.17 | (1370) all_0_125_125 = e13 % 15.59/4.17 | (1371) ~ (all_0_123_123 = e11) % 15.59/4.17 | % 15.59/4.17 | Equations (1160) can reduce 40 to: % 15.59/4.17 | (2912) ~ (all_0_121_121 = e12) % 15.59/4.17 | % 15.59/4.17 | Simplifying 2912 yields: % 15.59/4.17 | (2129) ~ (all_0_121_121 = e12) % 15.59/4.17 | % 15.59/4.17 +-Applying beta-rule and splitting (293), into two cases. % 15.59/4.17 |-Branch one: % 15.59/4.17 | (1087) all_0_116_116 = e13 & ( ~ (all_0_125_125 = e13) | all_0_123_123 = e11) % 15.59/4.17 | % 15.59/4.17 | Applying alpha-rule on (1087) yields: % 15.59/4.17 | (1088) all_0_116_116 = e13 % 15.59/4.17 | (1089) ~ (all_0_125_125 = e13) | all_0_123_123 = e11 % 15.59/4.17 | % 15.59/4.17 +-Applying beta-rule and splitting (1089), into two cases. % 15.59/4.17 |-Branch one: % 15.59/4.17 | (1108) ~ (all_0_125_125 = e13) % 15.59/4.17 | % 15.59/4.17 | Equations (1370) can reduce 1108 to: % 15.59/4.17 | (387) $false % 15.59/4.17 | % 15.59/4.17 |-The branch is then unsatisfiable % 15.59/4.17 |-Branch two: % 15.59/4.17 | (1370) all_0_125_125 = e13 % 15.59/4.17 | (1348) all_0_123_123 = e11 % 15.59/4.17 | % 15.59/4.17 | Equations (1348) can reduce 1371 to: % 15.59/4.17 | (387) $false % 15.59/4.17 | % 15.59/4.17 |-The branch is then unsatisfiable % 15.59/4.17 |-Branch two: % 15.59/4.17 | (1091) all_0_121_121 = e12 & ( ~ (all_0_116_116 = e12) | all_0_117_117 = e13) % 15.59/4.17 | % 15.59/4.17 | Applying alpha-rule on (1091) yields: % 15.59/4.17 | (1092) all_0_121_121 = e12 % 15.59/4.17 | (1093) ~ (all_0_116_116 = e12) | all_0_117_117 = e13 % 15.59/4.17 | % 15.59/4.17 | Equations (1092) can reduce 2129 to: % 15.59/4.17 | (387) $false % 15.59/4.17 | % 15.59/4.17 |-The branch is then unsatisfiable % 15.59/4.17 |-Branch two: % 15.59/4.17 | (1373) all_0_125_125 = e13 & all_0_127_127 = e10 & ~ (all_0_123_123 = e11) % 15.59/4.17 | % 15.59/4.17 | Applying alpha-rule on (1373) yields: % 15.59/4.17 | (1370) all_0_125_125 = e13 % 15.59/4.17 | (1077) all_0_127_127 = e10 % 15.59/4.17 | (1371) ~ (all_0_123_123 = e11) % 15.59/4.17 | % 15.59/4.17 +-Applying beta-rule and splitting (293), into two cases. % 15.59/4.17 |-Branch one: % 15.59/4.17 | (1087) all_0_116_116 = e13 & ( ~ (all_0_125_125 = e13) | all_0_123_123 = e11) % 15.59/4.17 | % 15.59/4.17 | Applying alpha-rule on (1087) yields: % 15.59/4.17 | (1088) all_0_116_116 = e13 % 15.59/4.17 | (1089) ~ (all_0_125_125 = e13) | all_0_123_123 = e11 % 15.59/4.17 | % 15.59/4.17 +-Applying beta-rule and splitting (204), into two cases. % 15.59/4.17 |-Branch one: % 15.59/4.17 | (1178) all_0_116_116 = e11 % 15.59/4.17 | % 15.59/4.17 | Combining equations (1178,1088) yields a new equation: % 15.59/4.17 | (1139) e13 = e11 % 15.59/4.17 | % 15.59/4.17 | Equations (1139) can reduce 361 to: % 15.59/4.17 | (387) $false % 15.59/4.17 | % 15.59/4.17 |-The branch is then unsatisfiable % 15.59/4.17 |-Branch two: % 15.59/4.17 | (1149) ~ (all_0_116_116 = e11) % 15.59/4.17 | (1342) all_0_120_120 = e11 | all_0_123_123 = e11 % 15.59/4.17 | % 15.59/4.17 +-Applying beta-rule and splitting (1342), into two cases. % 15.59/4.17 |-Branch one: % 15.59/4.17 | (1192) all_0_120_120 = e11 % 15.59/4.17 | % 15.59/4.17 | Equations (1192) can reduce 303 to: % 15.59/4.17 | (2783) ~ (all_0_123_123 = e11) % 15.59/4.17 | % 15.59/4.17 | Simplifying 2783 yields: % 15.59/4.17 | (1371) ~ (all_0_123_123 = e11) % 15.59/4.17 | % 15.59/4.17 | Equations (1192) can reduce 48 to: % 15.59/4.17 | (1195) ~ (e13 = e11) % 15.59/4.17 | % 15.59/4.17 | Simplifying 1195 yields: % 15.59/4.17 | (361) ~ (e13 = e11) % 15.59/4.17 | % 15.59/4.17 +-Applying beta-rule and splitting (21), into two cases. % 15.59/4.17 |-Branch one: % 15.59/4.17 | (1348) all_0_123_123 = e11 % 15.59/4.17 | % 15.59/4.17 | Equations (1348) can reduce 1371 to: % 15.59/4.17 | (387) $false % 15.59/4.17 | % 15.59/4.17 |-The branch is then unsatisfiable % 15.59/4.17 |-Branch two: % 15.59/4.17 | (1371) ~ (all_0_123_123 = e11) % 15.59/4.17 | (2174) all_0_124_124 = e11 | all_0_125_125 = e11 % 15.59/4.17 | % 15.59/4.17 +-Applying beta-rule and splitting (2174), into two cases. % 15.59/4.17 |-Branch one: % 15.59/4.17 | (1137) all_0_124_124 = e11 % 15.59/4.17 | % 15.59/4.17 | Equations (1137) can reduce 116 to: % 15.59/4.17 | (1371) ~ (all_0_123_123 = e11) % 15.59/4.17 | % 15.59/4.17 +-Applying beta-rule and splitting (1089), into two cases. % 15.59/4.17 |-Branch one: % 15.59/4.17 | (1108) ~ (all_0_125_125 = e13) % 15.59/4.17 | % 15.59/4.17 | Equations (1370) can reduce 1108 to: % 15.59/4.17 | (387) $false % 15.59/4.17 | % 15.59/4.17 |-The branch is then unsatisfiable % 15.59/4.17 |-Branch two: % 15.59/4.17 | (1370) all_0_125_125 = e13 % 15.59/4.17 | (1348) all_0_123_123 = e11 % 15.59/4.17 | % 15.59/4.17 | Equations (1348) can reduce 1371 to: % 15.59/4.17 | (387) $false % 15.59/4.17 | % 15.59/4.17 |-The branch is then unsatisfiable % 15.59/4.17 |-Branch two: % 15.59/4.17 | (2124) ~ (all_0_124_124 = e11) % 15.59/4.17 | (1217) all_0_125_125 = e11 % 15.59/4.17 | % 15.59/4.17 | Combining equations (1370,1217) yields a new equation: % 15.59/4.17 | (1208) e13 = e11 % 15.59/4.17 | % 15.59/4.17 | Simplifying 1208 yields: % 15.59/4.17 | (1139) e13 = e11 % 15.59/4.17 | % 15.59/4.17 | Equations (1139) can reduce 361 to: % 15.59/4.17 | (387) $false % 15.59/4.17 | % 15.59/4.17 |-The branch is then unsatisfiable % 15.59/4.18 |-Branch two: % 15.59/4.18 | (1318) ~ (all_0_120_120 = e11) % 15.59/4.18 | (1348) all_0_123_123 = e11 % 15.59/4.18 | % 15.59/4.18 | Equations (1348) can reduce 1371 to: % 15.59/4.18 | (387) $false % 15.59/4.18 | % 15.59/4.18 |-The branch is then unsatisfiable % 15.59/4.18 |-Branch two: % 15.59/4.18 | (1091) all_0_121_121 = e12 & ( ~ (all_0_116_116 = e12) | all_0_117_117 = e13) % 15.59/4.18 | % 15.59/4.18 | Applying alpha-rule on (1091) yields: % 15.59/4.18 | (1092) all_0_121_121 = e12 % 15.59/4.18 | (1093) ~ (all_0_116_116 = e12) | all_0_117_117 = e13 % 15.59/4.18 | % 15.59/4.18 | Equations (1092) can reduce 219 to: % 15.59/4.18 | (1096) ~ (all_0_122_122 = e12) % 15.59/4.18 | % 15.59/4.18 | Simplifying 1096 yields: % 15.59/4.18 | (216) ~ (all_0_122_122 = e12) % 15.59/4.18 | % 15.59/4.18 | From (1092) and (299) follows: % 15.59/4.18 | (1099) h1(e12) = all_0_89_89 % 15.59/4.18 | % 15.59/4.18 +-Applying beta-rule and splitting (204), into two cases. % 15.59/4.18 |-Branch one: % 15.59/4.18 | (1178) all_0_116_116 = e11 % 15.59/4.18 | % 15.59/4.18 | Combining equations (1088,1178) yields a new equation: % 15.59/4.18 | (1208) e13 = e11 % 15.59/4.18 | % 15.59/4.18 | Simplifying 1208 yields: % 15.59/4.18 | (1139) e13 = e11 % 15.59/4.18 | % 15.59/4.18 | Equations (1139) can reduce 361 to: % 15.59/4.18 | (387) $false % 15.59/4.18 | % 15.59/4.18 |-The branch is then unsatisfiable % 15.59/4.18 |-Branch two: % 15.59/4.18 | (1149) ~ (all_0_116_116 = e11) % 15.59/4.18 | (1342) all_0_120_120 = e11 | all_0_123_123 = e11 % 15.59/4.18 | % 15.59/4.18 | Equations (1088) can reduce 1149 to: % 15.59/4.18 | (361) ~ (e13 = e11) % 15.59/4.18 | % 15.59/4.18 +-Applying beta-rule and splitting (352), into two cases. % 15.59/4.18 |-Branch one: % 15.59/4.18 | (1188) all_0_120_120 = e10 % 15.59/4.18 | % 15.59/4.18 | Equations (1188) can reduce 1186 to: % 15.59/4.18 | (387) $false % 15.59/4.18 | % 15.59/4.18 |-The branch is then unsatisfiable % 15.59/4.18 |-Branch two: % 15.59/4.18 | (1186) ~ (all_0_120_120 = e10) % 15.59/4.18 | (1680) all_0_121_121 = e10 | all_0_122_122 = e10 % 15.59/4.18 | % 15.59/4.18 +-Applying beta-rule and splitting (21), into two cases. % 15.59/4.18 |-Branch one: % 15.59/4.18 | (1348) all_0_123_123 = e11 % 15.59/4.18 | % 15.59/4.18 | Equations (1348) can reduce 1371 to: % 15.59/4.18 | (387) $false % 15.59/4.18 | % 15.59/4.18 |-The branch is then unsatisfiable % 15.59/4.18 |-Branch two: % 15.59/4.18 | (1371) ~ (all_0_123_123 = e11) % 15.85/4.18 | (2174) all_0_124_124 = e11 | all_0_125_125 = e11 % 15.85/4.18 | % 15.85/4.18 +-Applying beta-rule and splitting (1680), into two cases. % 15.85/4.18 |-Branch one: % 15.85/4.18 | (1663) all_0_121_121 = e10 % 15.85/4.18 | % 15.85/4.18 | Combining equations (1092,1663) yields a new equation: % 15.85/4.18 | (1355) e12 = e10 % 15.85/4.18 | % 15.85/4.18 | Simplifying 1355 yields: % 15.85/4.18 | (1169) e12 = e10 % 15.85/4.18 | % 15.85/4.18 | Equations (1169) can reduce 130 to: % 15.85/4.18 | (387) $false % 15.85/4.18 | % 15.85/4.18 |-The branch is then unsatisfiable % 15.85/4.18 |-Branch two: % 15.85/4.18 | (1073) ~ (all_0_121_121 = e10) % 15.85/4.18 | (1198) all_0_122_122 = e10 % 15.85/4.18 | % 15.85/4.18 | Equations (1198) can reduce 248 to: % 15.85/4.18 | (1457) ~ (all_0_118_118 = e10) % 15.85/4.18 | % 15.85/4.18 | Equations (1198) can reduce 159 to: % 15.85/4.18 | (1186) ~ (all_0_120_120 = e10) % 15.85/4.18 | % 15.85/4.18 | Equations (1198) can reduce 22 to: % 15.85/4.18 | (1173) ~ (e13 = e10) % 15.85/4.18 | % 15.85/4.18 | Simplifying 1173 yields: % 15.85/4.18 | (97) ~ (e13 = e10) % 15.85/4.18 | % 15.85/4.18 | Equations (1198) can reduce 216 to: % 15.85/4.18 | (1175) ~ (e12 = e10) % 15.85/4.18 | % 15.85/4.18 | Simplifying 1175 yields: % 15.85/4.18 | (130) ~ (e12 = e10) % 15.85/4.18 | % 15.85/4.18 | From (1198) and (20) follows: % 15.85/4.18 | (1201) h1(e10) = all_0_90_90 % 15.85/4.18 | % 15.85/4.18 +-Applying beta-rule and splitting (2174), into two cases. % 15.85/4.18 |-Branch one: % 15.85/4.18 | (1137) all_0_124_124 = e11 % 15.85/4.18 | % 15.85/4.18 | Equations (1137) can reduce 116 to: % 15.85/4.18 | (1371) ~ (all_0_123_123 = e11) % 15.85/4.18 | % 15.85/4.18 | From (1137) and (251) follows: % 15.85/4.18 | (3265) h1(e11) = all_0_92_92 % 15.85/4.18 | % 15.85/4.18 +-Applying beta-rule and splitting (101), into two cases. % 15.85/4.18 |-Branch one: % 15.85/4.18 | (1188) all_0_120_120 = e10 % 15.85/4.18 | % 15.85/4.18 | Equations (1188) can reduce 1186 to: % 15.85/4.18 | (387) $false % 15.85/4.18 | % 15.85/4.18 |-The branch is then unsatisfiable % 15.85/4.18 |-Branch two: % 15.85/4.18 | (1186) ~ (all_0_120_120 = e10) % 15.85/4.18 | (1191) all_0_120_120 = e12 | all_0_120_120 = e11 % 15.85/4.18 | % 15.85/4.18 +-Applying beta-rule and splitting (234), into two cases. % 15.85/4.18 |-Branch one: % 15.85/4.18 | (1207) all_0_118_118 = e11 % 15.85/4.18 | % 15.85/4.18 | Equations (1207) can reduce 164 to: % 15.85/4.18 | (1336) ~ (e12 = e11) % 15.85/4.18 | % 15.85/4.18 | Simplifying 1336 yields: % 15.85/4.18 | (70) ~ (e12 = e11) % 15.85/4.18 | % 15.85/4.18 | From (1207) and (286) follows: % 15.85/4.18 | (3273) h1(e11) = all_0_86_86 % 15.85/4.18 | % 15.85/4.18 +-Applying beta-rule and splitting (274), into two cases. % 15.85/4.18 |-Branch one: % 15.85/4.18 | (1354) all_0_123_123 = e10 % 15.85/4.18 | % 15.85/4.18 | Equations (1354) can reduce 1358 to: % 15.85/4.18 | (387) $false % 15.85/4.18 | % 15.85/4.18 |-The branch is then unsatisfiable % 15.85/4.18 |-Branch two: % 15.85/4.18 | (1358) ~ (all_0_123_123 = e10) % 15.85/4.18 | (2107) all_0_123_123 = e13 | all_0_123_123 = e12 | all_0_123_123 = e11 % 15.85/4.18 | % 15.85/4.18 +-Applying beta-rule and splitting (275), into two cases. % 15.85/4.18 |-Branch one: % 15.85/4.18 | (1163) all_0_123_123 = e12 % 15.85/4.18 | % 15.85/4.18 | Equations (1163) can reduce 1371 to: % 15.85/4.18 | (70) ~ (e12 = e11) % 15.85/4.18 | % 15.85/4.18 | Equations (1163) can reduce 1358 to: % 15.85/4.18 | (130) ~ (e12 = e10) % 15.85/4.18 | % 15.85/4.18 | From (1163) and (322) follows: % 15.85/4.18 | (1167) h1(e12) = all_0_91_91 % 15.85/4.18 | % 15.85/4.18 +-Applying beta-rule and splitting (195), into two cases. % 15.85/4.18 |-Branch one: % 15.85/4.18 | (1182) all_0_116_116 = e10 % 15.85/4.18 | % 15.85/4.18 | Combining equations (1088,1182) yields a new equation: % 15.85/4.18 | (1360) e13 = e10 % 15.85/4.18 | % 15.85/4.18 | Simplifying 1360 yields: % 15.85/4.18 | (1361) e13 = e10 % 15.85/4.18 | % 15.85/4.18 | Equations (1361) can reduce 97 to: % 15.85/4.18 | (387) $false % 15.85/4.18 | % 15.85/4.18 |-The branch is then unsatisfiable % 15.85/4.18 |-Branch two: % 15.85/4.18 | (1321) ~ (all_0_116_116 = e10) % 15.85/4.18 | (2057) all_0_117_117 = e10 | all_0_118_118 = e10 | all_0_119_119 = e10 % 15.85/4.18 | % 15.85/4.18 | Equations (1088) can reduce 1321 to: % 15.85/4.18 | (97) ~ (e13 = e10) % 15.85/4.18 | % 15.85/4.18 +-Applying beta-rule and splitting (236), into two cases. % 15.85/4.18 |-Branch one: % 15.85/4.18 | (1192) all_0_120_120 = e11 % 15.85/4.18 | % 15.85/4.18 | Equations (1192) can reduce 1186 to: % 15.85/4.18 | (253) ~ (e11 = e10) % 15.85/4.18 | % 15.85/4.18 | From (1192) and (122) follows: % 15.85/4.18 | (1197) h1(e11) = all_0_88_88 % 15.85/4.18 | % 15.85/4.18 +-Applying beta-rule and splitting (83), into two cases. % 15.85/4.18 |-Branch one: % 15.85/4.18 | (1482) all_0_117_117 = e10 % 15.85/4.18 | % 15.85/4.18 | From (1482) and (326) follows: % 15.85/4.18 | (3293) h1(e10) = all_0_85_85 % 15.85/4.18 | % 15.85/4.18 | Instantiating formula (193) with e13, all_0_84_84, e23 and discharging atoms h1(e13) = all_0_84_84, h1(e13) = e23, yields: % 15.85/4.18 | (3294) all_0_84_84 = e23 % 15.85/4.18 | % 15.85/4.18 | Instantiating formula (193) with e13, all_0_96_96, all_0_84_84 and discharging atoms h1(e13) = all_0_84_84, h1(e13) = all_0_96_96, yields: % 15.85/4.18 | (3295) all_0_84_84 = all_0_96_96 % 15.85/4.18 | % 15.85/4.18 | Instantiating formula (193) with e12, all_0_89_89, e22 and discharging atoms h1(e12) = all_0_89_89, h1(e12) = e22, yields: % 15.85/4.18 | (1101) all_0_89_89 = e22 % 15.85/4.18 | % 15.85/4.18 | Instantiating formula (193) with e12, all_0_91_91, all_0_89_89 and discharging atoms h1(e12) = all_0_89_89, h1(e12) = all_0_91_91, yields: % 15.85/4.18 | (3297) all_0_89_89 = all_0_91_91 % 15.85/4.18 | % 15.85/4.18 | Instantiating formula (193) with e11, all_0_88_88, e21 and discharging atoms h1(e11) = all_0_88_88, h1(e11) = e21, yields: % 15.85/4.18 | (1223) all_0_88_88 = e21 % 15.85/4.18 | % 15.85/4.18 | Instantiating formula (193) with e11, all_0_88_88, all_0_86_86 and discharging atoms h1(e11) = all_0_86_86, h1(e11) = all_0_88_88, yields: % 15.85/4.18 | (3299) all_0_86_86 = all_0_88_88 % 15.85/4.18 | % 15.85/4.18 | Instantiating formula (193) with e11, all_0_92_92, all_0_86_86 and discharging atoms h1(e11) = all_0_86_86, h1(e11) = all_0_92_92, yields: % 15.85/4.18 | (1220) all_0_86_86 = all_0_92_92 % 15.85/4.18 | % 15.85/4.18 | Instantiating formula (193) with e10, all_0_85_85, e20 and discharging atoms h1(e10) = all_0_85_85, h1(e10) = e20, yields: % 15.85/4.18 | (3301) all_0_85_85 = e20 % 15.85/4.18 | % 15.85/4.18 | Instantiating formula (193) with e10, all_0_90_90, all_0_85_85 and discharging atoms h1(e10) = all_0_85_85, h1(e10) = all_0_90_90, yields: % 15.85/4.18 | (3302) all_0_85_85 = all_0_90_90 % 15.85/4.18 | % 15.85/4.18 | Instantiating formula (193) with e10, all_0_95_95, all_0_90_90 and discharging atoms h1(e10) = all_0_90_90, h1(e10) = all_0_95_95, yields: % 15.85/4.18 | (3303) all_0_90_90 = all_0_95_95 % 15.85/4.18 | % 15.85/4.18 | Combining equations (3294,3295) yields a new equation: % 15.85/4.18 | (3304) all_0_96_96 = e23 % 15.85/4.18 | % 15.85/4.18 | Combining equations (3302,3301) yields a new equation: % 15.85/4.18 | (3305) all_0_90_90 = e20 % 15.85/4.18 | % 15.85/4.19 | Simplifying 3305 yields: % 15.85/4.19 | (1226) all_0_90_90 = e20 % 15.85/4.19 | % 15.85/4.19 | Combining equations (3299,1220) yields a new equation: % 15.85/4.19 | (3307) all_0_88_88 = all_0_92_92 % 15.85/4.19 | % 15.85/4.19 | Simplifying 3307 yields: % 15.85/4.19 | (3308) all_0_88_88 = all_0_92_92 % 15.85/4.19 | % 15.85/4.19 | Combining equations (3308,1223) yields a new equation: % 15.85/4.19 | (3309) all_0_92_92 = e21 % 15.85/4.19 | % 15.85/4.19 | Simplifying 3309 yields: % 15.85/4.19 | (3310) all_0_92_92 = e21 % 15.85/4.19 | % 15.85/4.19 | Combining equations (3297,1101) yields a new equation: % 15.85/4.19 | (3311) all_0_91_91 = e22 % 15.85/4.19 | % 15.85/4.19 | Simplifying 3311 yields: % 15.85/4.19 | (1234) all_0_91_91 = e22 % 15.85/4.19 | % 15.85/4.19 | Combining equations (3303,1226) yields a new equation: % 15.85/4.19 | (3313) all_0_95_95 = e20 % 15.85/4.19 | % 15.85/4.19 | Simplifying 3313 yields: % 15.85/4.19 | (3314) all_0_95_95 = e20 % 15.85/4.19 | % 15.85/4.19 | Combining equations (3310,1220) yields a new equation: % 15.85/4.19 | (3315) all_0_86_86 = e21 % 15.85/4.19 | % 15.85/4.19 | Combining equations (3304,3295) yields a new equation: % 15.85/4.19 | (3294) all_0_84_84 = e23 % 15.85/4.19 | % 15.85/4.19 +-Applying beta-rule and splitting (138), into two cases. % 15.85/4.19 |-Branch one: % 15.85/4.19 | (1243) ~ (all_0_84_84 = all_0_103_103) % 15.85/4.19 | % 15.85/4.19 | Equations (3294,378) can reduce 1243 to: % 15.85/4.19 | (387) $false % 15.85/4.19 | % 15.85/4.19 |-The branch is then unsatisfiable % 15.85/4.19 |-Branch two: % 15.85/4.19 | (1245) all_0_84_84 = all_0_103_103 % 15.85/4.19 | (1246) ~ (all_0_85_85 = all_0_104_104) | ~ (all_0_86_86 = all_0_105_105) | ~ (all_0_87_87 = all_0_106_106) | ~ (all_0_88_88 = all_0_107_107) | ~ (all_0_89_89 = all_0_108_108) | ~ (all_0_90_90 = all_0_109_109) | ~ (all_0_91_91 = all_0_110_110) | ~ (all_0_92_92 = all_0_111_111) | ~ (all_0_93_93 = all_0_112_112) | ~ (all_0_94_94 = all_0_113_113) | ~ (all_0_95_95 = all_0_114_114) | ~ (all_0_96_96 = all_0_115_115) % 15.85/4.19 | % 15.85/4.19 +-Applying beta-rule and splitting (1246), into two cases. % 15.85/4.19 |-Branch one: % 15.85/4.19 | (1247) ~ (all_0_85_85 = all_0_104_104) % 15.85/4.19 | % 15.85/4.19 | Equations (3301,2293) can reduce 1247 to: % 15.85/4.19 | (387) $false % 15.85/4.19 | % 15.85/4.19 |-The branch is then unsatisfiable % 15.85/4.19 |-Branch two: % 15.85/4.19 | (1249) all_0_85_85 = all_0_104_104 % 15.85/4.19 | (1250) ~ (all_0_86_86 = all_0_105_105) | ~ (all_0_87_87 = all_0_106_106) | ~ (all_0_88_88 = all_0_107_107) | ~ (all_0_89_89 = all_0_108_108) | ~ (all_0_90_90 = all_0_109_109) | ~ (all_0_91_91 = all_0_110_110) | ~ (all_0_92_92 = all_0_111_111) | ~ (all_0_93_93 = all_0_112_112) | ~ (all_0_94_94 = all_0_113_113) | ~ (all_0_95_95 = all_0_114_114) | ~ (all_0_96_96 = all_0_115_115) % 15.85/4.19 | % 15.85/4.19 +-Applying beta-rule and splitting (1250), into two cases. % 15.85/4.19 |-Branch one: % 15.85/4.19 | (1251) ~ (all_0_86_86 = all_0_105_105) % 15.85/4.19 | % 15.85/4.19 | Equations (3315,816) can reduce 1251 to: % 15.85/4.19 | (387) $false % 15.85/4.19 | % 15.85/4.19 |-The branch is then unsatisfiable % 15.85/4.19 |-Branch two: % 15.85/4.19 | (1253) all_0_86_86 = all_0_105_105 % 15.85/4.19 | (1254) ~ (all_0_87_87 = all_0_106_106) | ~ (all_0_88_88 = all_0_107_107) | ~ (all_0_89_89 = all_0_108_108) | ~ (all_0_90_90 = all_0_109_109) | ~ (all_0_91_91 = all_0_110_110) | ~ (all_0_92_92 = all_0_111_111) | ~ (all_0_93_93 = all_0_112_112) | ~ (all_0_94_94 = all_0_113_113) | ~ (all_0_95_95 = all_0_114_114) | ~ (all_0_96_96 = all_0_115_115) % 15.85/4.19 | % 15.85/4.19 +-Applying beta-rule and splitting (1254), into two cases. % 15.85/4.19 |-Branch one: % 15.85/4.19 | (1255) ~ (all_0_87_87 = all_0_106_106) % 15.85/4.19 | % 15.85/4.19 | Equations (1221,537) can reduce 1255 to: % 15.85/4.19 | (387) $false % 15.85/4.19 | % 15.85/4.19 |-The branch is then unsatisfiable % 15.85/4.19 |-Branch two: % 15.85/4.19 | (1257) all_0_87_87 = all_0_106_106 % 15.85/4.19 | (1258) ~ (all_0_88_88 = all_0_107_107) | ~ (all_0_89_89 = all_0_108_108) | ~ (all_0_90_90 = all_0_109_109) | ~ (all_0_91_91 = all_0_110_110) | ~ (all_0_92_92 = all_0_111_111) | ~ (all_0_93_93 = all_0_112_112) | ~ (all_0_94_94 = all_0_113_113) | ~ (all_0_95_95 = all_0_114_114) | ~ (all_0_96_96 = all_0_115_115) % 15.85/4.19 | % 15.85/4.19 +-Applying beta-rule and splitting (1258), into two cases. % 15.85/4.19 |-Branch one: % 15.85/4.19 | (1259) ~ (all_0_88_88 = all_0_107_107) % 15.85/4.19 | % 15.85/4.19 | Equations (1223,758) can reduce 1259 to: % 15.85/4.19 | (387) $false % 15.85/4.19 | % 15.85/4.19 |-The branch is then unsatisfiable % 15.85/4.19 |-Branch two: % 15.85/4.19 | (1261) all_0_88_88 = all_0_107_107 % 15.85/4.19 | (1262) ~ (all_0_89_89 = all_0_108_108) | ~ (all_0_90_90 = all_0_109_109) | ~ (all_0_91_91 = all_0_110_110) | ~ (all_0_92_92 = all_0_111_111) | ~ (all_0_93_93 = all_0_112_112) | ~ (all_0_94_94 = all_0_113_113) | ~ (all_0_95_95 = all_0_114_114) | ~ (all_0_96_96 = all_0_115_115) % 15.85/4.19 | % 15.85/4.19 +-Applying beta-rule and splitting (1262), into two cases. % 15.85/4.19 |-Branch one: % 15.85/4.19 | (1263) ~ (all_0_89_89 = all_0_108_108) % 15.85/4.19 | % 15.85/4.19 | Equations (1101,467) can reduce 1263 to: % 15.85/4.19 | (387) $false % 15.85/4.19 | % 15.85/4.19 |-The branch is then unsatisfiable % 15.85/4.19 |-Branch two: % 15.85/4.19 | (1265) all_0_89_89 = all_0_108_108 % 15.85/4.19 | (1266) ~ (all_0_90_90 = all_0_109_109) | ~ (all_0_91_91 = all_0_110_110) | ~ (all_0_92_92 = all_0_111_111) | ~ (all_0_93_93 = all_0_112_112) | ~ (all_0_94_94 = all_0_113_113) | ~ (all_0_95_95 = all_0_114_114) | ~ (all_0_96_96 = all_0_115_115) % 15.85/4.19 | % 15.85/4.19 +-Applying beta-rule and splitting (1266), into two cases. % 15.85/4.19 |-Branch one: % 15.85/4.19 | (1267) ~ (all_0_90_90 = all_0_109_109) % 15.85/4.19 | % 15.85/4.19 | Equations (1226,552) can reduce 1267 to: % 15.85/4.19 | (387) $false % 15.85/4.19 | % 15.85/4.19 |-The branch is then unsatisfiable % 15.85/4.19 |-Branch two: % 15.85/4.19 | (1269) all_0_90_90 = all_0_109_109 % 15.85/4.19 | (1270) ~ (all_0_91_91 = all_0_110_110) | ~ (all_0_92_92 = all_0_111_111) | ~ (all_0_93_93 = all_0_112_112) | ~ (all_0_94_94 = all_0_113_113) | ~ (all_0_95_95 = all_0_114_114) | ~ (all_0_96_96 = all_0_115_115) % 15.85/4.19 | % 15.85/4.19 +-Applying beta-rule and splitting (1270), into two cases. % 15.85/4.19 |-Branch one: % 15.85/4.19 | (1271) ~ (all_0_91_91 = all_0_110_110) % 15.85/4.19 | % 15.85/4.19 | Equations (1234,460) can reduce 1271 to: % 15.85/4.19 | (387) $false % 15.85/4.19 | % 15.85/4.19 |-The branch is then unsatisfiable % 15.85/4.19 |-Branch two: % 15.85/4.19 | (1273) all_0_91_91 = all_0_110_110 % 15.85/4.19 | (1274) ~ (all_0_92_92 = all_0_111_111) | ~ (all_0_93_93 = all_0_112_112) | ~ (all_0_94_94 = all_0_113_113) | ~ (all_0_95_95 = all_0_114_114) | ~ (all_0_96_96 = all_0_115_115) % 15.85/4.19 | % 15.85/4.19 +-Applying beta-rule and splitting (1274), into two cases. % 15.85/4.19 |-Branch one: % 15.85/4.19 | (1275) ~ (all_0_92_92 = all_0_111_111) % 15.85/4.19 | % 15.85/4.19 | Equations (3310,425) can reduce 1275 to: % 15.85/4.19 | (387) $false % 15.85/4.19 | % 15.85/4.19 |-The branch is then unsatisfiable % 15.85/4.19 |-Branch two: % 15.85/4.19 | (1277) all_0_92_92 = all_0_111_111 % 15.85/4.19 | (1278) ~ (all_0_93_93 = all_0_112_112) | ~ (all_0_94_94 = all_0_113_113) | ~ (all_0_95_95 = all_0_114_114) | ~ (all_0_96_96 = all_0_115_115) % 15.85/4.19 | % 15.85/4.19 +-Applying beta-rule and splitting (1278), into two cases. % 15.85/4.19 |-Branch one: % 15.85/4.19 | (1279) ~ (all_0_93_93 = all_0_112_112) % 15.85/4.19 | % 15.85/4.19 | Equations (2718,402) can reduce 1279 to: % 15.85/4.19 | (387) $false % 15.85/4.19 | % 15.85/4.19 |-The branch is then unsatisfiable % 15.85/4.19 |-Branch two: % 15.85/4.19 | (1281) all_0_93_93 = all_0_112_112 % 15.85/4.19 | (1282) ~ (all_0_94_94 = all_0_113_113) | ~ (all_0_95_95 = all_0_114_114) | ~ (all_0_96_96 = all_0_115_115) % 15.85/4.19 | % 15.85/4.19 +-Applying beta-rule and splitting (1282), into two cases. % 15.85/4.19 |-Branch one: % 15.85/4.19 | (1283) ~ (all_0_94_94 = all_0_113_113) % 15.85/4.19 | % 15.85/4.19 | Equations (1237,619) can reduce 1283 to: % 15.85/4.19 | (387) $false % 15.85/4.19 | % 15.85/4.19 |-The branch is then unsatisfiable % 15.85/4.19 |-Branch two: % 15.85/4.19 | (1285) all_0_94_94 = all_0_113_113 % 15.85/4.19 | (1286) ~ (all_0_95_95 = all_0_114_114) | ~ (all_0_96_96 = all_0_115_115) % 15.85/4.19 | % 15.85/4.19 +-Applying beta-rule and splitting (1286), into two cases. % 15.85/4.19 |-Branch one: % 15.85/4.19 | (1287) ~ (all_0_95_95 = all_0_114_114) % 15.85/4.19 | % 15.85/4.19 | Equations (3314,389) can reduce 1287 to: % 15.85/4.19 | (387) $false % 15.85/4.19 | % 15.85/4.19 |-The branch is then unsatisfiable % 15.85/4.19 |-Branch two: % 15.85/4.19 | (1289) all_0_95_95 = all_0_114_114 % 15.85/4.19 | (1290) ~ (all_0_96_96 = all_0_115_115) % 15.85/4.19 | % 15.85/4.19 | Equations (3304,393) can reduce 1290 to: % 15.85/4.19 | (387) $false % 15.85/4.19 | % 15.85/4.19 |-The branch is then unsatisfiable % 15.85/4.19 |-Branch two: % 15.85/4.19 | (1072) ~ (all_0_117_117 = e10) % 15.85/4.19 | (2061) all_0_117_117 = e13 | all_0_117_117 = e12 | all_0_117_117 = e11 % 15.85/4.19 | % 15.85/4.19 +-Applying beta-rule and splitting (71), into two cases. % 15.85/4.19 |-Branch one: % 15.85/4.19 | (1482) all_0_117_117 = e10 % 15.85/4.19 | % 15.85/4.19 | Equations (1482) can reduce 1072 to: % 15.85/4.19 | (387) $false % 15.85/4.19 | % 15.85/4.19 |-The branch is then unsatisfiable % 15.85/4.19 |-Branch two: % 15.85/4.19 | (1072) ~ (all_0_117_117 = e10) % 15.85/4.19 | (1485) all_0_121_121 = e10 | all_0_124_124 = e10 | all_0_128_128 = e10 % 15.85/4.19 | % 15.85/4.19 +-Applying beta-rule and splitting (1485), into two cases. % 15.85/4.19 |-Branch one: % 15.85/4.19 | (1663) all_0_121_121 = e10 % 15.85/4.19 | % 15.85/4.20 | Combining equations (1092,1663) yields a new equation: % 15.85/4.20 | (1355) e12 = e10 % 15.85/4.20 | % 15.85/4.20 | Simplifying 1355 yields: % 15.85/4.20 | (1169) e12 = e10 % 15.85/4.20 | % 15.85/4.20 | Equations (1169) can reduce 130 to: % 15.85/4.20 | (387) $false % 15.85/4.20 | % 15.85/4.20 |-The branch is then unsatisfiable % 15.85/4.20 |-Branch two: % 15.85/4.20 | (1073) ~ (all_0_121_121 = e10) % 15.85/4.20 | (1666) all_0_124_124 = e10 | all_0_128_128 = e10 % 15.85/4.20 | % 15.85/4.20 +-Applying beta-rule and splitting (1666), into two cases. % 15.85/4.20 |-Branch one: % 15.85/4.20 | (1486) all_0_124_124 = e10 % 15.85/4.20 | % 15.85/4.20 | Combining equations (1486,1137) yields a new equation: % 15.85/4.20 | (1214) e11 = e10 % 15.85/4.20 | % 15.85/4.20 | Equations (1214) can reduce 253 to: % 15.85/4.20 | (387) $false % 15.85/4.20 | % 15.85/4.20 |-The branch is then unsatisfiable % 15.85/4.20 |-Branch two: % 15.85/4.20 | (1074) ~ (all_0_124_124 = e10) % 15.85/4.20 | (1071) all_0_128_128 = e10 % 15.85/4.20 | % 15.85/4.20 | Combining equations (1432,1071) yields a new equation: % 15.85/4.20 | (1360) e13 = e10 % 15.85/4.20 | % 15.85/4.20 | Simplifying 1360 yields: % 15.85/4.20 | (1361) e13 = e10 % 15.85/4.20 | % 15.85/4.20 | Equations (1361) can reduce 97 to: % 15.85/4.20 | (387) $false % 15.85/4.20 | % 15.85/4.20 |-The branch is then unsatisfiable % 15.85/4.20 |-Branch two: % 15.85/4.20 | (1318) ~ (all_0_120_120 = e11) % 15.85/4.20 | (1785) all_0_121_121 = e11 | all_0_122_122 = e11 % 15.85/4.20 | % 15.85/4.20 +-Applying beta-rule and splitting (1342), into two cases. % 15.85/4.20 |-Branch one: % 15.85/4.20 | (1192) all_0_120_120 = e11 % 15.85/4.20 | % 15.85/4.20 | Equations (1192) can reduce 1318 to: % 15.85/4.20 | (387) $false % 15.85/4.20 | % 15.85/4.20 |-The branch is then unsatisfiable % 15.85/4.20 |-Branch two: % 15.85/4.20 | (1318) ~ (all_0_120_120 = e11) % 15.85/4.20 | (1348) all_0_123_123 = e11 % 15.85/4.20 | % 15.85/4.20 | Combining equations (1163,1348) yields a new equation: % 15.85/4.20 | (1349) e12 = e11 % 15.85/4.20 | % 15.85/4.20 | Simplifying 1349 yields: % 15.85/4.20 | (1150) e12 = e11 % 15.85/4.20 | % 15.85/4.20 | Equations (1150) can reduce 70 to: % 15.85/4.20 | (387) $false % 15.85/4.20 | % 15.85/4.20 |-The branch is then unsatisfiable % 15.85/4.20 |-Branch two: % 15.85/4.20 | (1468) ~ (all_0_123_123 = e12) % 15.85/4.20 | (2044) all_0_124_124 = e12 | all_0_126_126 = e12 % 15.85/4.20 | % 15.85/4.20 +-Applying beta-rule and splitting (2044), into two cases. % 15.85/4.20 |-Branch one: % 15.85/4.20 | (2045) all_0_124_124 = e12 % 15.85/4.20 | % 15.85/4.20 | Combining equations (1137,2045) yields a new equation: % 15.85/4.20 | (1150) e12 = e11 % 15.85/4.20 | % 15.85/4.20 | Equations (1150) can reduce 70 to: % 15.85/4.20 | (387) $false % 15.85/4.20 | % 15.85/4.20 |-The branch is then unsatisfiable % 15.85/4.20 |-Branch two: % 15.85/4.20 | (1867) ~ (all_0_124_124 = e12) % 15.85/4.20 | (1467) all_0_126_126 = e12 % 15.85/4.20 | % 15.85/4.20 | Combining equations (1467,1172) yields a new equation: % 15.85/4.20 | (1355) e12 = e10 % 15.85/4.20 | % 15.85/4.20 | Simplifying 1355 yields: % 15.85/4.20 | (1169) e12 = e10 % 15.85/4.20 | % 15.85/4.20 | Equations (1169) can reduce 130 to: % 15.85/4.20 | (387) $false % 15.85/4.20 | % 15.85/4.20 |-The branch is then unsatisfiable % 15.85/4.20 |-Branch two: % 15.85/4.20 | (1211) ~ (all_0_118_118 = e11) % 15.85/4.20 | (1212) all_0_122_122 = e11 | all_0_125_125 = e11 % 15.85/4.20 | % 15.85/4.20 +-Applying beta-rule and splitting (302), into two cases. % 15.85/4.20 |-Branch one: % 15.85/4.20 | (1694) all_0_118_118 = e10 % 15.85/4.20 | % 15.85/4.20 | Equations (1694) can reduce 1457 to: % 15.85/4.20 | (387) $false % 15.85/4.20 | % 15.85/4.20 |-The branch is then unsatisfiable % 15.85/4.20 |-Branch two: % 15.85/4.20 | (1457) ~ (all_0_118_118 = e10) % 15.85/4.20 | (1772) all_0_118_118 = e13 | all_0_118_118 = e11 % 15.85/4.20 | % 15.85/4.20 +-Applying beta-rule and splitting (1772), into two cases. % 15.85/4.20 |-Branch one: % 15.85/4.20 | (1106) all_0_118_118 = e13 % 15.85/4.20 | % 15.85/4.20 | Equations (1106) can reduce 1385 to: % 15.85/4.20 | (387) $false % 15.85/4.20 | % 15.85/4.20 |-The branch is then unsatisfiable % 15.85/4.20 |-Branch two: % 15.85/4.20 | (1385) ~ (all_0_118_118 = e13) % 15.85/4.20 | (1207) all_0_118_118 = e11 % 15.85/4.20 | % 15.85/4.20 | Equations (1207) can reduce 1211 to: % 15.85/4.20 | (387) $false % 15.85/4.20 | % 15.85/4.20 |-The branch is then unsatisfiable % 15.85/4.20 |-Branch two: % 15.85/4.20 | (2124) ~ (all_0_124_124 = e11) % 15.85/4.20 | (1217) all_0_125_125 = e11 % 15.85/4.20 | % 15.85/4.20 | Combining equations (1370,1217) yields a new equation: % 15.85/4.20 | (1208) e13 = e11 % 15.85/4.20 | % 15.85/4.20 | Simplifying 1208 yields: % 15.85/4.20 | (1139) e13 = e11 % 15.85/4.20 | % 15.85/4.20 | Equations (1139) can reduce 361 to: % 15.85/4.20 | (387) $false % 15.85/4.20 | % 15.85/4.20 |-The branch is then unsatisfiable % 15.85/4.20 |-Branch two: % 15.85/4.20 | (1081) ~ (all_0_116_116 = e13) % 15.85/4.20 | (1593) all_0_117_117 = e13 | all_0_118_118 = e13 % 15.85/4.20 | % 15.85/4.20 +-Applying beta-rule and splitting (1593), into two cases. % 15.85/4.20 |-Branch one: % 15.85/4.20 | (1380) all_0_117_117 = e13 % 15.85/4.20 | % 15.85/4.20 | Equations (1380) can reduce 1115 to: % 15.85/4.20 | (387) $false % 15.85/4.20 | % 15.85/4.20 |-The branch is then unsatisfiable % 15.85/4.20 |-Branch two: % 15.85/4.20 | (1115) ~ (all_0_117_117 = e13) % 15.85/4.20 | (1106) all_0_118_118 = e13 % 15.85/4.20 | % 15.85/4.20 | Equations (1106) can reduce 1385 to: % 15.85/4.20 | (387) $false % 15.85/4.20 | % 15.85/4.20 |-The branch is then unsatisfiable % 15.85/4.20 |-Branch two: % 15.85/4.20 | (1075) ~ (all_0_127_127 = e10) % 15.85/4.20 | (1071) all_0_128_128 = e10 % 15.85/4.20 | % 15.85/4.20 | Combining equations (1432,1071) yields a new equation: % 15.85/4.20 | (1360) e13 = e10 % 15.85/4.20 | % 15.85/4.20 | Simplifying 1360 yields: % 15.85/4.20 | (1361) e13 = e10 % 15.85/4.20 | % 15.85/4.20 | Equations (1361) can reduce 97 to: % 15.85/4.20 | (387) $false % 15.85/4.20 | % 15.85/4.20 |-The branch is then unsatisfiable % 15.85/4.20 |-Branch two: % 15.85/4.20 | (3433) ~ (all_0_111_111 = e21) % 15.85/4.20 | (984) all_0_112_112 = e21 % 15.85/4.20 | % 15.85/4.20 | Combining equations (402,984) yields a new equation: % 15.85/4.20 | (599) e23 = e21 % 15.85/4.20 | % 15.85/4.20 | Simplifying 599 yields: % 15.85/4.20 | (578) e23 = e21 % 15.85/4.20 | % 15.85/4.20 | Equations (578) can reduce 123 to: % 15.85/4.20 | (387) $false % 15.85/4.20 | % 15.85/4.20 |-The branch is then unsatisfiable % 15.85/4.20 |-Branch two: % 15.85/4.20 | (3438) ~ (all_0_104_104 = e20) % 15.85/4.20 | (3439) all_0_108_108 = e20 | all_0_111_111 = e20 | all_0_115_115 = e20 % 15.85/4.20 | % 15.85/4.20 +-Applying beta-rule and splitting (3439), into two cases. % 15.85/4.20 |-Branch one: % 15.85/4.20 | (742) all_0_108_108 = e20 % 15.85/4.20 | % 15.85/4.20 | Combining equations (467,742) yields a new equation: % 15.85/4.20 | (703) e22 = e20 % 15.85/4.20 | % 15.85/4.20 | Simplifying 703 yields: % 15.85/4.20 | (438) e22 = e20 % 15.85/4.20 | % 15.85/4.20 | Equations (438) can reduce 241 to: % 15.85/4.20 | (387) $false % 15.85/4.20 | % 15.85/4.20 |-The branch is then unsatisfiable % 15.85/4.20 |-Branch two: % 15.85/4.20 | (746) ~ (all_0_108_108 = e20) % 15.85/4.20 | (3445) all_0_111_111 = e20 | all_0_115_115 = e20 % 15.85/4.20 | % 15.85/4.20 +-Applying beta-rule and splitting (2292), into two cases. % 15.85/4.20 |-Branch one: % 15.85/4.20 | (425) all_0_111_111 = e21 % 15.85/4.20 | % 15.85/4.20 | Equations (425) can reduce 916 to: % 15.85/4.20 | (149) ~ (e21 = e20) % 15.85/4.20 | % 15.85/4.20 +-Applying beta-rule and splitting (3445), into two cases. % 15.85/4.20 |-Branch one: % 15.85/4.20 | (3448) all_0_111_111 = e20 % 15.85/4.20 | % 15.85/4.20 | Combining equations (425,3448) yields a new equation: % 15.85/4.20 | (553) e21 = e20 % 15.85/4.20 | % 15.85/4.20 | Simplifying 553 yields: % 15.85/4.20 | (554) e21 = e20 % 15.85/4.20 | % 15.85/4.20 | Equations (554) can reduce 149 to: % 15.85/4.20 | (387) $false % 15.85/4.20 | % 15.85/4.20 |-The branch is then unsatisfiable % 15.85/4.20 |-Branch two: % 15.85/4.20 | (916) ~ (all_0_111_111 = e20) % 15.85/4.20 | (432) all_0_115_115 = e20 % 15.85/4.20 | % 15.85/4.20 | Combining equations (432,393) yields a new equation: % 15.85/4.20 | (437) e23 = e20 % 15.85/4.20 | % 15.85/4.20 | Equations (437) can reduce 235 to: % 15.85/4.20 | (387) $false % 15.85/4.20 | % 15.85/4.20 |-The branch is then unsatisfiable % 15.85/4.20 |-Branch two: % 15.85/4.20 | (3433) ~ (all_0_111_111 = e21) % 15.85/4.20 | (984) all_0_112_112 = e21 % 15.85/4.20 | % 15.85/4.20 | Combining equations (402,984) yields a new equation: % 15.85/4.20 | (599) e23 = e21 % 15.85/4.20 | % 15.85/4.20 | Simplifying 599 yields: % 15.85/4.20 | (578) e23 = e21 % 15.85/4.20 | % 15.85/4.20 | Equations (578) can reduce 123 to: % 15.85/4.20 | (387) $false % 15.85/4.20 | % 15.85/4.20 |-The branch is then unsatisfiable % 15.85/4.21 |-Branch two: % 15.85/4.21 | (516) ~ (all_0_105_105 = e21) % 15.85/4.21 | (879) all_0_105_105 = e23 | all_0_105_105 = e20 % 15.85/4.21 | % 15.85/4.21 +-Applying beta-rule and splitting (879), into two cases. % 15.85/4.21 |-Branch one: % 15.85/4.21 | (441) all_0_105_105 = e23 % 15.85/4.21 | % 15.85/4.21 | Equations (441) can reduce 403 to: % 15.85/4.21 | (387) $false % 15.85/4.21 | % 15.85/4.21 |-The branch is then unsatisfiable % 15.85/4.21 |-Branch two: % 15.85/4.21 | (403) ~ (all_0_105_105 = e23) % 15.85/4.21 | (548) all_0_105_105 = e20 % 15.85/4.21 | % 15.85/4.21 | Equations (548) can reduce 530 to: % 15.85/4.21 | (387) $false % 15.85/4.21 | % 15.85/4.21 |-The branch is then unsatisfiable % 15.85/4.21 |-Branch two: % 15.85/4.21 | (528) ~ (all_0_103_103 = e23) % 15.85/4.21 | (3469) all_0_110_110 = e23 | all_0_114_114 = e23 % 15.85/4.21 | % 15.85/4.21 +-Applying beta-rule and splitting (3469), into two cases. % 15.85/4.21 |-Branch one: % 15.85/4.21 | (395) all_0_110_110 = e23 % 15.85/4.21 | % 15.85/4.21 | Combining equations (460,395) yields a new equation: % 15.85/4.21 | (411) e23 = e22 % 15.85/4.21 | % 15.85/4.21 | Equations (411) can reduce 182 to: % 15.85/4.21 | (387) $false % 15.85/4.21 | % 15.85/4.21 |-The branch is then unsatisfiable % 15.85/4.21 |-Branch two: % 15.85/4.21 | (383) ~ (all_0_110_110 = e23) % 15.85/4.21 | (386) all_0_114_114 = e23 % 15.85/4.21 | % 15.85/4.21 | Combining equations (386,389) yields a new equation: % 15.85/4.21 | (436) e23 = e20 % 15.85/4.21 | % 15.85/4.21 | Simplifying 436 yields: % 15.85/4.21 | (437) e23 = e20 % 15.85/4.21 | % 15.85/4.21 | Equations (437) can reduce 235 to: % 15.85/4.21 | (387) $false % 15.85/4.21 | % 15.85/4.21 |-The branch is then unsatisfiable % 15.85/4.21 |-Branch two: % 15.85/4.21 | (519) ~ (all_0_114_114 = e20) % 15.85/4.21 | (432) all_0_115_115 = e20 % 15.85/4.21 | % 15.85/4.21 | Combining equations (393,432) yields a new equation: % 15.85/4.21 | (436) e23 = e20 % 15.85/4.21 | % 15.85/4.21 | Simplifying 436 yields: % 15.85/4.21 | (437) e23 = e20 % 15.85/4.21 | % 15.85/4.21 | Equations (437) can reduce 235 to: % 15.85/4.21 | (387) $false % 15.85/4.21 | % 15.85/4.21 |-The branch is then unsatisfiable % 15.85/4.21 |-Branch two: % 15.85/4.21 | (542) ~ (all_0_110_110 = e22) % 15.85/4.21 | (775) all_0_111_111 = e22 | all_0_113_113 = e22 % 15.85/4.21 | % 15.85/4.21 +-Applying beta-rule and splitting (134), into two cases. % 15.85/4.21 |-Branch one: % 15.85/4.21 | (409) all_0_103_103 = e22 % 15.85/4.21 | % 15.85/4.21 | Equations (409) can reduce 413 to: % 15.85/4.21 | (387) $false % 15.85/4.21 | % 15.85/4.21 |-The branch is then unsatisfiable % 15.85/4.21 |-Branch two: % 15.85/4.21 | (413) ~ (all_0_103_103 = e22) % 15.85/4.21 | (414) all_0_107_107 = e22 | all_0_110_110 = e22 % 15.85/4.21 | % 15.85/4.21 +-Applying beta-rule and splitting (414), into two cases. % 15.85/4.21 |-Branch one: % 15.85/4.21 | (415) all_0_107_107 = e22 % 15.85/4.21 | % 15.85/4.21 | Combining equations (758,415) yields a new equation: % 15.85/4.21 | (461) e22 = e21 % 15.85/4.21 | % 15.85/4.21 | Equations (461) can reduce 300 to: % 15.85/4.21 | (387) $false % 15.85/4.21 | % 15.85/4.21 |-The branch is then unsatisfiable % 15.85/4.21 |-Branch two: % 15.85/4.21 | (459) ~ (all_0_107_107 = e22) % 15.85/4.21 | (460) all_0_110_110 = e22 % 15.85/4.21 | % 15.85/4.21 | Equations (460) can reduce 542 to: % 15.85/4.21 | (387) $false % 15.85/4.21 | % 15.85/4.21 |-The branch is then unsatisfiable % 15.85/4.21 |-Branch two: % 15.85/4.21 | (3495) ~ (all_0_107_107 = e21) % 15.85/4.21 | (3496) all_0_107_107 = e22 | all_0_107_107 = e20 % 15.85/4.21 | % 15.85/4.21 +-Applying beta-rule and splitting (31), into two cases. % 15.85/4.21 |-Branch one: % 15.85/4.21 | (758) all_0_107_107 = e21 % 15.85/4.21 | % 15.85/4.21 | Equations (758) can reduce 3495 to: % 15.85/4.21 | (387) $false % 15.85/4.21 | % 15.85/4.21 |-The branch is then unsatisfiable % 15.85/4.21 |-Branch two: % 15.85/4.21 | (3495) ~ (all_0_107_107 = e21) % 15.85/4.21 | (3500) all_0_108_108 = e21 | all_0_109_109 = e21 % 15.85/4.21 | % 15.85/4.21 +-Applying beta-rule and splitting (3500), into two cases. % 15.85/4.21 |-Branch one: % 15.85/4.21 | (442) all_0_108_108 = e21 % 15.85/4.21 | % 15.85/4.21 | Combining equations (467,442) yields a new equation: % 15.85/4.21 | (594) e22 = e21 % 15.85/4.21 | % 15.85/4.21 | Simplifying 594 yields: % 15.85/4.21 | (461) e22 = e21 % 15.85/4.21 | % 15.85/4.21 | Equations (461) can reduce 300 to: % 15.85/4.21 | (387) $false % 15.85/4.21 | % 15.85/4.21 |-The branch is then unsatisfiable % 15.85/4.21 |-Branch two: % 15.85/4.21 | (597) ~ (all_0_108_108 = e21) % 15.85/4.21 | (515) all_0_109_109 = e21 % 15.85/4.21 | % 15.85/4.21 | Combining equations (515,552) yields a new equation: % 15.85/4.21 | (553) e21 = e20 % 15.85/4.21 | % 15.85/4.21 | Simplifying 553 yields: % 15.85/4.21 | (554) e21 = e20 % 15.85/4.21 | % 15.85/4.21 | Equations (554) can reduce 149 to: % 15.85/4.21 | (387) $false % 15.85/4.21 | % 15.85/4.21 |-The branch is then unsatisfiable % 15.85/4.21 % SZS output end Proof for theBenchmark % 15.85/4.21 % 15.85/4.21 3646ms %------------------------------------------------------------------------------