TSTP Solution File: ALG106+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG106+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n032.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 15:35:09 EDT 2022
% Result : Theorem 5.95s 1.82s
% Output : Proof 12.84s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : ALG106+1 : TPTP v8.1.0. Released v2.7.0.
% 0.00/0.08 % Command : ePrincess-casc -timeout=%d %s
% 0.07/0.27 % Computer : n032.cluster.edu
% 0.07/0.27 % Model : x86_64 x86_64
% 0.07/0.27 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.27 % Memory : 8042.1875MB
% 0.07/0.27 % OS : Linux 3.10.0-693.el7.x86_64
% 0.07/0.27 % CPULimit : 300
% 0.07/0.27 % WCLimit : 600
% 0.07/0.27 % DateTime : Wed Jun 8 22:42:22 EDT 2022
% 0.07/0.27 % CPUTime :
% 0.11/0.47 ____ _
% 0.11/0.47 ___ / __ \_____(_)___ ________ __________
% 0.11/0.47 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.11/0.47 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.11/0.47 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.11/0.47
% 0.11/0.47 A Theorem Prover for First-Order Logic
% 0.11/0.47 (ePrincess v.1.0)
% 0.11/0.47
% 0.11/0.47 (c) Philipp Rümmer, 2009-2015
% 0.11/0.47 (c) Peter Backeman, 2014-2015
% 0.11/0.47 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.11/0.47 Free software under GNU Lesser General Public License (LGPL).
% 0.11/0.47 Bug reports to peter@backeman.se
% 0.11/0.47
% 0.11/0.47 For more information, visit http://user.uu.se/~petba168/breu/
% 0.11/0.47
% 0.11/0.47 Loading /export/starexec/sandbox2/benchmark/theBenchmark.p ...
% 0.55/0.52 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.30/1.00 Prover 0: Preprocessing ...
% 4.37/1.45 Prover 0: Constructing countermodel ...
% 5.95/1.82 Prover 0: proved (1304ms)
% 5.95/1.82
% 5.95/1.82 No countermodel exists, formula is valid
% 5.95/1.82 % SZS status Theorem for theBenchmark
% 5.95/1.82
% 5.95/1.82 Generating proof ... found it (size 1437)
% 11.43/3.09
% 11.43/3.09 % SZS output start Proof for theBenchmark
% 11.43/3.09 Assumed formulas after preprocessing and simplification:
% 11.43/3.09 | (0) ? [v0] : ? [v1] : ? [v2] : ? [v3] : ? [v4] : ? [v5] : ? [v6] : ? [v7] : ? [v8] : ? [v9] : ? [v10] : ? [v11] : ? [v12] : ? [v13] : ? [v14] : ? [v15] : ? [v16] : ? [v17] : ? [v18] : ? [v19] : ? [v20] : ? [v21] : ? [v22] : ? [v23] : ? [v24] : ? [v25] : ? [v26] : ? [v27] : ? [v28] : ? [v29] : ? [v30] : ? [v31] : ? [v32] : ? [v33] : ? [v34] : ? [v35] : ? [v36] : ? [v37] : ? [v38] : ? [v39] : ? [v40] : ? [v41] : ? [v42] : ? [v43] : ? [v44] : ? [v45] : ? [v46] : ? [v47] : ? [v48] : ? [v49] : ? [v50] : ? [v51] : ? [v52] : ? [v53] : ? [v54] : ? [v55] : ? [v56] : ? [v57] : ? [v58] : ? [v59] : ? [v60] : ? [v61] : ? [v62] : ? [v63] : ? [v64] : ? [v65] : ? [v66] : ? [v67] : ? [v68] : ? [v69] : ? [v70] : ? [v71] : ? [v72] : ? [v73] : ? [v74] : ? [v75] : ? [v76] : ? [v77] : ? [v78] : ? [v79] : ? [v80] : ? [v81] : ? [v82] : ? [v83] : ? [v84] : ? [v85] : ? [v86] : ? [v87] : ? [v88] : ? [v89] : ? [v90] : ? [v91] : ? [v92] : ? [v93] : ? [v94] : ? [v95] : ? [v96] : ? [v97] : ? [v98] : ? [v99] : ? [v100] : ? [v101] : ? [v102] : ? [v103] : ? [v104] : ? [v105] : ? [v106] : ? [v107] : ? [v108] : ? [v109] : ? [v110] : ? [v111] : ? [v112] : ? [v113] : ? [v114] : ? [v115] : ? [v116] : ? [v117] : ? [v118] : ? [v119] : ? [v120] : ? [v121] : ? [v122] : ? [v123] : ? [v124] : ? [v125] : ? [v126] : ? [v127] : ? [v128] : ? [v129] : ? [v130] : ? [v131] : ? [v132] : ? [v133] : ? [v134] : ? [v135] : ? [v136] : ? [v137] : ? [v138] : ? [v139] : ? [v140] : ? [v141] : ? [v142] : ? [v143] : ? [v144] : ? [v145] : ? [v146] : ? [v147] : ? [v148] : ? [v149] : ? [v150] : ? [v151] : ( ~ (v25 = v24) & ~ (v25 = v23) & ~ (v25 = v19) & ~ (v25 = v15) & ~ (v25 = e22) & ~ (v25 = e21) & ~ (v24 = v21) & ~ (v24 = v17) & ~ (v24 = v13) & ~ (v24 = e22) & ~ (v24 = e21) & ~ (v23 = v22) & ~ (v23 = v21) & ~ (v23 = v19) & ~ (v23 = v15) & ~ (v23 = e20) & ~ (v22 = v21) & ~ (v22 = v18) & ~ (v22 = v14) & ~ (v22 = e22) & ~ (v22 = e20) & ~ (v21 = v17) & ~ (v21 = v13) & ~ (v21 = e20) & ~ (v20 = v19) & ~ (v20 = v18) & ~ (v20 = v17) & ~ (v20 = v16) & ~ (v20 = e21) & ~ (v20 = e20) & ~ (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v15) & ~ (v18 = v17) & ~ (v18 = v14) & ~ (v18 = e22) & ~ (v17 = v13) & ~ (v16 = v15) & ~ (v16 = v14) & ~ (v16 = v13) & ~ (v16 = e21) & ~ (v16 = e20) & ~ (v15 = v14) & ~ (v15 = v13) & ~ (v14 = v13) & ~ (v14 = e22) & ~ (v12 = v11) & ~ (v12 = v10) & ~ (v12 = v6) & ~ (v12 = v2) & ~ (v12 = e12) & ~ (v12 = e11) & ~ (v11 = v8) & ~ (v11 = v4) & ~ (v11 = v0) & ~ (v11 = e12) & ~ (v11 = e11) & ~ (v10 = v9) & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v10 = e10) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) & ~ (v9 = e12) & ~ (v9 = e10) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v8 = e10) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v7 = e11) & ~ (v7 = e10) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v5 = e12) & ~ (v4 = v0) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v3 = e11) & ~ (v3 = e10) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v1 = v0) & ~ (v1 = e12) & ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e23 = e13) & ~ (e23 = e12) & ~ (e23 = e11) & ~ (e23 = e10) & ~ (e22 = e21) & ~ (e22 = e20) & ~ (e22 = e13) & ~ (e22 = e12) & ~ (e22 = e11) & ~ (e22 = e10) & ~ (e21 = e20) & ~ (e21 = e13) & ~ (e21 = e12) & ~ (e21 = e11) & ~ (e21 = e10) & ~ (e20 = e13) & ~ (e20 = e12) & ~ (e20 = e11) & ~ (e20 = e10) & ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = e10) & ~ (e11 = e10) & op1(e13, v12) = v36 & op1(e13, v11) = v29 & op1(e13, e13) = e11 & op1(e13, e12) = v12 & op1(e13, e11) = e12 & op1(e13, e10) = v11 & op1(e12, v10) = v35 & op1(e12, v9) = v32 & op1(e12, v8) = v28 & op1(e12, e13) = e10 & op1(e12, e12) = v10 & op1(e12, e11) = v9 & op1(e12, e10) = v8 & op1(e11, v7) = v38 & op1(e11, v6) = v34 & op1(e11, v5) = v31 & op1(e11, v4) = v27 & op1(e11, e13) = v7 & op1(e11, e12) = v6 & op1(e11, e11) = v5 & op1(e11, e10) = v4 & op1(e10, v3) = v37 & op1(e10, v2) = v33 & op1(e10, v1) = v30 & op1(e10, v0) = v26 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10) = v0 & h1(v12) = v81 & h1(v11) = v78 & h1(v10) = v75 & h1(v9) = v73 & h1(v8) = v71 & h1(v7) = v69 & h1(v6) = v67 & h1(v5) = v65 & h1(v4) = v63 & h1(v3) = v61 & h1(v2) = v59 & h1(v1) = v57 & h1(v0) = v55 & h1(e13) = e20 & h1(e12) = v39 & h1(e11) = v13 & h1(e10) = v52 & h2(v12) = v109 & h2(v11) = v106 & h2(v10) = v103 & h2(v9) = v101 & h2(v8) = v99 & h2(v7) = v97 & h2(v6) = v95 & h2(v5) = v93 & h2(v4) = v91 & h2(v3) = v89 & h2(v2) = v87 & h2(v1) = v85 & h2(v0) = v83 & h2(e13) = e21 & h2(e12) = v44 & h2(e11) = v18 & h2(e10) = v53 & h3(v12) = v137 & h3(v11) = v134 & h3(v10) = v131 & h3(v9) = v129 & h3(v8) = v127 & h3(v7) = v125 & h3(v6) = v123 & h3(v5) = v121 & h3(v4) = v119 & h3(v3) = v117 & h3(v2) = v115 & h3(v1) = v113 & h3(v0) = v111 & h3(e13) = e22 & h3(e12) = v48 & h3(e11) = v23 & h3(e10) = v54 & h4(v12) = v151 & h4(v11) = v150 & h4(v10) = v149 & h4(v9) = v148 & h4(v8) = v147 & h4(v7) = v146 & h4(v6) = v145 & h4(v5) = v144 & h4(v4) = v143 & h4(v3) = v142 & h4(v2) = v141 & h4(v1) = v140 & h4(v0) = v139 & h4(e13) = e23 & h4(e12) = e22 & h4(e11) = e21 & h4(e10) = e20 & op2(v54, v54) = v112 & op2(v54, v48) = v116 & op2(v54, v23) = v114 & op2(v54, e22) = v118 & op2(v53, v53) = v84 & op2(v53, v44) = v88 & op2(v53, v18) = v86 & op2(v53, e21) = v90 & op2(v52, v52) = v56 & op2(v52, v39) = v60 & op2(v52, v13) = v58 & op2(v52, e20) = v62 & op2(v48, v54) = v128 & op2(v48, v48) = v132 & op2(v48, v23) = v130 & op2(v48, e22) = v133 & op2(v48, e22) = v54 & op2(v44, v53) = v100 & op2(v44, v44) = v104 & op2(v44, v18) = v102 & op2(v44, e21) = v105 & op2(v44, e21) = v53 & op2(v39, v52) = v72 & op2(v39, v39) = v76 & op2(v39, v13) = v74 & op2(v39, e20) = v77 & op2(v39, e20) = v52 & op2(v23, v54) = v120 & op2(v23, v48) = v124 & op2(v23, v23) = v122 & op2(v23, e22) = v126 & op2(v18, v53) = v92 & op2(v18, v44) = v96 & op2(v18, v18) = v94 & op2(v18, e21) = v98 & op2(v13, v52) = v64 & op2(v13, v39) = v68 & op2(v13, v13) = v66 & op2(v13, e20) = v70 & op2(e23, v25) = v49 & op2(e23, v24) = v42 & op2(e23, e23) = e21 & op2(e23, e22) = v25 & op2(e23, e21) = e22 & op2(e23, e20) = v24 & op2(e22, v54) = v135 & op2(e22, v48) = v138 & op2(e22, v23) = v136 & op2(e22, v23) = v48 & op2(e22, v22) = v45 & op2(e22, v21) = v41 & op2(e22, e23) = e20 & op2(e22, e22) = v23 & op2(e22, e21) = v22 & op2(e22, e20) = v21 & op2(e21, v53) = v107 & op2(e21, v44) = v110 & op2(e21, v20) = v51 & op2(e21, v19) = v47 & op2(e21, v18) = v108 & op2(e21, v18) = v44 & op2(e21, v17) = v40 & op2(e21, e23) = v20 & op2(e21, e22) = v19 & op2(e21, e21) = v18 & op2(e21, e20) = v17 & op2(e20, v52) = v79 & op2(e20, v39) = v82 & op2(e20, v16) = v50 & op2(e20, v15) = v46 & op2(e20, v14) = v43 & op2(e20, v13) = v80 & op2(e20, v13) = v39 & op2(e20, e23) = v16 & op2(e20, e22) = v15 & op2(e20, e21) = v14 & op2(e20, e20) = v13 & ! [v152] : ! [v153] : ! [v154] : ! [v155] : (v153 = v152 | ~ (op1(v155, v154) = v153) | ~ (op1(v155, v154) = v152)) & ! [v152] : ! [v153] : ! [v154] : ! [v155] : (v153 = v152 | ~ (op2(v155, v154) = v153) | ~ (op2(v155, v154) = v152)) & ! [v152] : ! [v153] : ! [v154] : (v153 = v152 | ~ (h1(v154) = v153) | ~ (h1(v154) = v152)) & ! [v152] : ! [v153] : ! [v154] : (v153 = v152 | ~ (h2(v154) = v153) | ~ (h2(v154) = v152)) & ! [v152] : ! [v153] : ! [v154] : (v153 = v152 | ~ (h3(v154) = v153) | ~ (h3(v154) = v152)) & ! [v152] : ! [v153] : ! [v154] : (v153 = v152 | ~ (h4(v154) = v153) | ~ (h4(v154) = v152)) & ( ~ (v151 = v25) | ~ (v150 = v24) | ~ (v149 = v23) | ~ (v148 = v22) | ~ (v147 = v21) | ~ (v146 = v20) | ~ (v145 = v19) | ~ (v144 = v18) | ~ (v143 = v17) | ~ (v142 = v16) | ~ (v141 = v15) | ~ (v140 = v14) | ~ (v139 = v13)) & ( ~ (v138 = v137) | ~ (v136 = v48) | ~ (v135 = v134) | ~ (v133 = v54) | ~ (v132 = v131) | ~ (v130 = v129) | ~ (v128 = v127) | ~ (v126 = v125) | ~ (v124 = v123) | ~ (v122 = v121) | ~ (v120 = v119) | ~ (v118 = v117) | ~ (v116 = v115) | ~ (v114 = v113) | ~ (v112 = v111) | ( ~ (v54 = e23) & ~ (v48 = e23) & ~ (v23 = e23)) | ( ~ (v54 = e21) & ~ (v48 = e21) & ~ (v23 = e21)) | ( ~ (v54 = e20) & ~ (v48 = e20))) & ( ~ (v110 = v109) | ~ (v108 = v44) | ~ (v107 = v106) | ~ (v105 = v53) | ~ (v104 = v103) | ~ (v102 = v101) | ~ (v100 = v99) | ~ (v98 = v97) | ~ (v96 = v95) | ~ (v94 = v93) | ~ (v92 = v91) | ~ (v90 = v89) | ~ (v88 = v87) | ~ (v86 = v85) | ~ (v84 = v83) | ( ~ (v53 = e23) & ~ (v44 = e23) & ~ (v18 = e23)) | ( ~ (v53 = e22) & ~ (v44 = e22)) | ( ~ (v53 = e20) & ~ (v44 = e20) & ~ (v18 = e20))) & ( ~ (v82 = v81) | ~ (v80 = v39) | ~ (v79 = v78) | ~ (v77 = v52) | ~ (v76 = v75) | ~ (v74 = v73) | ~ (v72 = v71) | ~ (v70 = v69) | ~ (v68 = v67) | ~ (v66 = v65) | ~ (v64 = v63) | ~ (v62 = v61) | ~ (v60 = v59) | ~ (v58 = v57) | ~ (v56 = v55) | ( ~ (v52 = e23) & ~ (v39 = e23) & ~ (v13 = e23)) | ( ~ (v52 = e22) & ~ (v39 = e22) & ~ (v13 = e22)) | ( ~ (v52 = e21) & ~ (v39 = e21) & ~ (v13 = e21))) & (v51 = e21 | v50 = e20 | v21 = e22) & (v49 = e23 | v48 = e22 | v47 = e21 | v46 = e20) & (v45 = e22 | v44 = e21 | v43 = e20 | v25 = e23) & (v42 = e23 | v41 = e22 | v40 = e21 | v39 = e20) & (v38 = e11 | v37 = e10 | v8 = e12) & (v36 = e13 | v35 = e12 | v34 = e11 | v33 = e10) & (v32 = e12 | v31 = e11 | v30 = e10 | v12 = e13) & (v29 = e13 | v28 = e12 | v27 = e11 | v26 = e10) & (v25 = e23 | v25 = e20) & (v25 = e23 | v24 = e23) & (v25 = e23 | v23 = e23 | v19 = e23 | v15 = e23) & (v25 = e20 | v24 = e20) & (v25 = e20 | v19 = e20 | v15 = e20) & (v24 = e23 | v24 = e20) & (v24 = e23 | v21 = e23 | v17 = e23 | v13 = e23) & (v24 = e20 | v17 = e20 | v13 = e20) & (v23 = e23 | v23 = e22 | v23 = e21) & (v23 = e23 | v22 = e23 | v21 = e23) & (v23 = e22 | v21 = e22) & (v23 = e22 | v19 = e22 | v15 = e22) & (v23 = e21 | v22 = e21 | v21 = e21) & (v23 = e21 | v19 = e21 | v15 = e21) & (v22 = e23 | v22 = e21) & (v22 = e23 | v18 = e23 | v14 = e23) & (v22 = e21 | v18 = e21 | v14 = e21) & (v21 = e23 | v21 = e22 | v21 = e21) & (v21 = e22 | v17 = e22 | v13 = e22) & (v21 = e21 | v17 = e21 | v13 = e21) & (v20 = e23 | v20 = e22) & (v20 = e23 | v19 = e23 | v18 = e23 | v17 = e23) & (v20 = e23 | v16 = e23) & (v20 = e22 | v19 = e22 | v17 = e22) & (v20 = e22 | v16 = e22) & (v19 = e23 | v19 = e22 | v19 = e21 | v19 = e20) & (v19 = e21 | v18 = e21 | v17 = e21) & (v19 = e20 | v18 = e20 | v17 = e20) & (v18 = e23 | v18 = e21 | v18 = e20) & (v18 = e20 | v14 = e20) & (v17 = e23 | v17 = e22 | v17 = e21 | v17 = e20) & (v16 = e23 | v16 = e22) & (v16 = e23 | v15 = e23 | v14 = e23 | v13 = e23) & (v16 = e22 | v15 = e22 | v13 = e22) & (v15 = e23 | v15 = e22 | v15 = e21 | v15 = e20) & (v15 = e21 | v14 = e21 | v13 = e21) & (v15 = e20 | v14 = e20 | v13 = e20) & (v14 = e23 | v14 = e21 | v14 = e20) & (v13 = e23 | v13 = e22 | v13 = e21 | v13 = e20) & (v12 = e13 | v12 = e10) & (v12 = e13 | v11 = e13) & (v12 = e13 | v10 = e13 | v6 = e13 | v2 = e13) & (v12 = e10 | v11 = e10) & (v12 = e10 | v6 = e10 | v2 = e10) & (v11 = e13 | v11 = e10) & (v11 = e13 | v8 = e13 | v4 = e13 | v0 = e13) & (v11 = e10 | v4 = e10 | v0 = e10) & (v10 = e13 | v10 = e12 | v10 = e11) & (v10 = e13 | v9 = e13 | v8 = e13) & (v10 = e12 | v8 = e12) & (v10 = e12 | v6 = e12 | v2 = e12) & (v10 = e11 | v9 = e11 | v8 = e11) & (v10 = e11 | v6 = e11 | v2 = e11) & (v9 = e13 | v9 = e11) & (v9 = e13 | v5 = e13 | v1 = e13) & (v9 = e11 | v5 = e11 | v1 = e11) & (v8 = e13 | v8 = e12 | v8 = e11) & (v8 = e12 | v4 = e12 | v0 = e12) & (v8 = e11 | v4 = e11 | v0 = e11) & (v7 = e13 | v7 = e12) & (v7 = e13 | v6 = e13 | v5 = e13 | v4 = e13) & (v7 = e13 | v3 = e13) & (v7 = e12 | v6 = e12 | v4 = e12) & (v7 = e12 | v3 = e12) & (v6 = e13 | v6 = e12 | v6 = e11 | v6 = e10) & (v6 = e11 | v5 = e11 | v4 = e11) & (v6 = e10 | v5 = e10 | v4 = e10) & (v5 = e13 | v5 = e11 | v5 = e10) & (v5 = e10 | v1 = e10) & (v4 = e13 | v4 = e12 | v4 = e11 | v4 = e10) & (v3 = e13 | v3 = e12) & (v3 = e13 | v2 = e13 | v1 = e13 | v0 = e13) & (v3 = e12 | v2 = e12 | v0 = e12) & (v2 = e13 | v2 = e12 | v2 = e11 | v2 = e10) & (v2 = e11 | v1 = e11 | v0 = e11) & (v2 = e10 | v1 = e10 | v0 = e10) & (v1 = e13 | v1 = e11 | v1 = e10) & (v0 = e13 | v0 = e12 | v0 = e11 | v0 = e10) & ((v24 = e23 & v16 = e23 & ~ (v18 = e20) & ~ (v13 = e20)) | (v22 = e21 & v19 = e21 & ~ (v23 = e22) & ~ (v13 = e22)) | (v21 = e22 & v15 = e22 & ~ (v18 = e20) & ~ (v13 = e20)) | (v17 = e21 & v14 = e21 & ~ (v18 = e20) & ~ (v13 = e20))) & ((v11 = e13 & v3 = e13 & ~ (v5 = e10) & ~ (v0 = e10)) | (v9 = e11 & v6 = e11 & ~ (v10 = e12) & ~ (v0 = e12)) | (v8 = e12 & v2 = e12 & ~ (v5 = e10) & ~ (v0 = e10)) | (v4 = e11 & v1 = e11 & ~ (v5 = e10) & ~ (v0 = e10))))
% 11.43/3.16 | Instantiating (0) with all_0_0_0, all_0_1_1, all_0_2_2, all_0_3_3, all_0_4_4, all_0_5_5, all_0_6_6, all_0_7_7, all_0_8_8, all_0_9_9, all_0_10_10, all_0_11_11, all_0_12_12, all_0_13_13, all_0_14_14, all_0_15_15, all_0_16_16, all_0_17_17, all_0_18_18, all_0_19_19, all_0_20_20, all_0_21_21, all_0_22_22, all_0_23_23, all_0_24_24, all_0_25_25, all_0_26_26, all_0_27_27, all_0_28_28, all_0_29_29, all_0_30_30, all_0_31_31, all_0_32_32, all_0_33_33, all_0_34_34, all_0_35_35, all_0_36_36, all_0_37_37, all_0_38_38, all_0_39_39, all_0_40_40, all_0_41_41, all_0_42_42, all_0_43_43, all_0_44_44, all_0_45_45, all_0_46_46, all_0_47_47, all_0_48_48, all_0_49_49, all_0_50_50, all_0_51_51, all_0_52_52, all_0_53_53, all_0_54_54, all_0_55_55, all_0_56_56, all_0_57_57, all_0_58_58, all_0_59_59, all_0_60_60, all_0_61_61, all_0_62_62, all_0_63_63, all_0_64_64, all_0_65_65, all_0_66_66, all_0_67_67, all_0_68_68, all_0_69_69, all_0_70_70, all_0_71_71, all_0_72_72, all_0_73_73, all_0_74_74, all_0_75_75, all_0_76_76, all_0_77_77, all_0_78_78, all_0_79_79, all_0_80_80, all_0_81_81, all_0_82_82, all_0_83_83, all_0_84_84, all_0_85_85, all_0_86_86, all_0_87_87, all_0_88_88, all_0_89_89, all_0_90_90, all_0_91_91, all_0_92_92, all_0_93_93, all_0_94_94, all_0_95_95, all_0_96_96, all_0_97_97, all_0_98_98, all_0_99_99, all_0_100_100, all_0_101_101, all_0_102_102, all_0_103_103, all_0_104_104, all_0_105_105, all_0_106_106, all_0_107_107, all_0_108_108, all_0_109_109, all_0_110_110, all_0_111_111, all_0_112_112, all_0_113_113, all_0_114_114, all_0_115_115, all_0_116_116, all_0_117_117, all_0_118_118, all_0_119_119, all_0_120_120, all_0_121_121, all_0_122_122, all_0_123_123, all_0_124_124, all_0_125_125, all_0_126_126, all_0_127_127, all_0_128_128, all_0_129_129, all_0_130_130, all_0_131_131, all_0_132_132, all_0_133_133, all_0_134_134, all_0_135_135, all_0_136_136, all_0_137_137, all_0_138_138, all_0_139_139, all_0_140_140, all_0_141_141, all_0_142_142, all_0_143_143, all_0_144_144, all_0_145_145, all_0_146_146, all_0_147_147, all_0_148_148, all_0_149_149, all_0_150_150, all_0_151_151 yields:
% 11.43/3.16 | (1) ~ (all_0_126_126 = all_0_127_127) & ~ (all_0_126_126 = all_0_128_128) & ~ (all_0_126_126 = all_0_132_132) & ~ (all_0_126_126 = all_0_136_136) & ~ (all_0_126_126 = e22) & ~ (all_0_126_126 = e21) & ~ (all_0_127_127 = all_0_130_130) & ~ (all_0_127_127 = all_0_134_134) & ~ (all_0_127_127 = all_0_138_138) & ~ (all_0_127_127 = e22) & ~ (all_0_127_127 = e21) & ~ (all_0_128_128 = all_0_129_129) & ~ (all_0_128_128 = all_0_130_130) & ~ (all_0_128_128 = all_0_132_132) & ~ (all_0_128_128 = all_0_136_136) & ~ (all_0_128_128 = e20) & ~ (all_0_129_129 = all_0_130_130) & ~ (all_0_129_129 = all_0_133_133) & ~ (all_0_129_129 = all_0_137_137) & ~ (all_0_129_129 = e22) & ~ (all_0_129_129 = e20) & ~ (all_0_130_130 = all_0_134_134) & ~ (all_0_130_130 = all_0_138_138) & ~ (all_0_130_130 = e20) & ~ (all_0_131_131 = all_0_132_132) & ~ (all_0_131_131 = all_0_133_133) & ~ (all_0_131_131 = all_0_134_134) & ~ (all_0_131_131 = all_0_135_135) & ~ (all_0_131_131 = e21) & ~ (all_0_131_131 = e20) & ~ (all_0_132_132 = all_0_133_133) & ~ (all_0_132_132 = all_0_134_134) & ~ (all_0_132_132 = all_0_136_136) & ~ (all_0_133_133 = all_0_134_134) & ~ (all_0_133_133 = all_0_137_137) & ~ (all_0_133_133 = e22) & ~ (all_0_134_134 = all_0_138_138) & ~ (all_0_135_135 = all_0_136_136) & ~ (all_0_135_135 = all_0_137_137) & ~ (all_0_135_135 = all_0_138_138) & ~ (all_0_135_135 = e21) & ~ (all_0_135_135 = e20) & ~ (all_0_136_136 = all_0_137_137) & ~ (all_0_136_136 = all_0_138_138) & ~ (all_0_137_137 = all_0_138_138) & ~ (all_0_137_137 = e22) & ~ (all_0_139_139 = all_0_140_140) & ~ (all_0_139_139 = all_0_141_141) & ~ (all_0_139_139 = all_0_145_145) & ~ (all_0_139_139 = all_0_149_149) & ~ (all_0_139_139 = e12) & ~ (all_0_139_139 = e11) & ~ (all_0_140_140 = all_0_143_143) & ~ (all_0_140_140 = all_0_147_147) & ~ (all_0_140_140 = all_0_151_151) & ~ (all_0_140_140 = e12) & ~ (all_0_140_140 = e11) & ~ (all_0_141_141 = all_0_142_142) & ~ (all_0_141_141 = all_0_143_143) & ~ (all_0_141_141 = all_0_145_145) & ~ (all_0_141_141 = all_0_149_149) & ~ (all_0_141_141 = e10) & ~ (all_0_142_142 = all_0_143_143) & ~ (all_0_142_142 = all_0_146_146) & ~ (all_0_142_142 = all_0_150_150) & ~ (all_0_142_142 = e12) & ~ (all_0_142_142 = e10) & ~ (all_0_143_143 = all_0_147_147) & ~ (all_0_143_143 = all_0_151_151) & ~ (all_0_143_143 = e10) & ~ (all_0_144_144 = all_0_145_145) & ~ (all_0_144_144 = all_0_146_146) & ~ (all_0_144_144 = all_0_147_147) & ~ (all_0_144_144 = all_0_148_148) & ~ (all_0_144_144 = e11) & ~ (all_0_144_144 = e10) & ~ (all_0_145_145 = all_0_146_146) & ~ (all_0_145_145 = all_0_147_147) & ~ (all_0_145_145 = all_0_149_149) & ~ (all_0_146_146 = all_0_147_147) & ~ (all_0_146_146 = all_0_150_150) & ~ (all_0_146_146 = e12) & ~ (all_0_147_147 = all_0_151_151) & ~ (all_0_148_148 = all_0_149_149) & ~ (all_0_148_148 = all_0_150_150) & ~ (all_0_148_148 = all_0_151_151) & ~ (all_0_148_148 = e11) & ~ (all_0_148_148 = e10) & ~ (all_0_149_149 = all_0_150_150) & ~ (all_0_149_149 = all_0_151_151) & ~ (all_0_150_150 = all_0_151_151) & ~ (all_0_150_150 = e12) & ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e23 = e13) & ~ (e23 = e12) & ~ (e23 = e11) & ~ (e23 = e10) & ~ (e22 = e21) & ~ (e22 = e20) & ~ (e22 = e13) & ~ (e22 = e12) & ~ (e22 = e11) & ~ (e22 = e10) & ~ (e21 = e20) & ~ (e21 = e13) & ~ (e21 = e12) & ~ (e21 = e11) & ~ (e21 = e10) & ~ (e20 = e13) & ~ (e20 = e12) & ~ (e20 = e11) & ~ (e20 = e10) & ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = e10) & ~ (e11 = e10) & op1(e13, all_0_139_139) = all_0_115_115 & op1(e13, all_0_140_140) = all_0_122_122 & op1(e13, e13) = e11 & op1(e13, e12) = all_0_139_139 & op1(e13, e11) = e12 & op1(e13, e10) = all_0_140_140 & op1(e12, all_0_141_141) = all_0_116_116 & op1(e12, all_0_142_142) = all_0_119_119 & op1(e12, all_0_143_143) = all_0_123_123 & op1(e12, e13) = e10 & op1(e12, e12) = all_0_141_141 & op1(e12, e11) = all_0_142_142 & op1(e12, e10) = all_0_143_143 & op1(e11, all_0_144_144) = all_0_113_113 & op1(e11, all_0_145_145) = all_0_117_117 & op1(e11, all_0_146_146) = all_0_120_120 & op1(e11, all_0_147_147) = all_0_124_124 & op1(e11, e13) = all_0_144_144 & op1(e11, e12) = all_0_145_145 & op1(e11, e11) = all_0_146_146 & op1(e11, e10) = all_0_147_147 & op1(e10, all_0_148_148) = all_0_114_114 & op1(e10, all_0_149_149) = all_0_118_118 & op1(e10, all_0_150_150) = all_0_121_121 & op1(e10, all_0_151_151) = all_0_125_125 & op1(e10, e13) = all_0_148_148 & op1(e10, e12) = all_0_149_149 & op1(e10, e11) = all_0_150_150 & op1(e10, e10) = all_0_151_151 & h1(all_0_139_139) = all_0_70_70 & h1(all_0_140_140) = all_0_73_73 & h1(all_0_141_141) = all_0_76_76 & h1(all_0_142_142) = all_0_78_78 & h1(all_0_143_143) = all_0_80_80 & h1(all_0_144_144) = all_0_82_82 & h1(all_0_145_145) = all_0_84_84 & h1(all_0_146_146) = all_0_86_86 & h1(all_0_147_147) = all_0_88_88 & h1(all_0_148_148) = all_0_90_90 & h1(all_0_149_149) = all_0_92_92 & h1(all_0_150_150) = all_0_94_94 & h1(all_0_151_151) = all_0_96_96 & h1(e13) = e20 & h1(e12) = all_0_112_112 & h1(e11) = all_0_138_138 & h1(e10) = all_0_99_99 & h2(all_0_139_139) = all_0_42_42 & h2(all_0_140_140) = all_0_45_45 & h2(all_0_141_141) = all_0_48_48 & h2(all_0_142_142) = all_0_50_50 & h2(all_0_143_143) = all_0_52_52 & h2(all_0_144_144) = all_0_54_54 & h2(all_0_145_145) = all_0_56_56 & h2(all_0_146_146) = all_0_58_58 & h2(all_0_147_147) = all_0_60_60 & h2(all_0_148_148) = all_0_62_62 & h2(all_0_149_149) = all_0_64_64 & h2(all_0_150_150) = all_0_66_66 & h2(all_0_151_151) = all_0_68_68 & h2(e13) = e21 & h2(e12) = all_0_107_107 & h2(e11) = all_0_133_133 & h2(e10) = all_0_98_98 & h3(all_0_139_139) = all_0_14_14 & h3(all_0_140_140) = all_0_17_17 & h3(all_0_141_141) = all_0_20_20 & h3(all_0_142_142) = all_0_22_22 & h3(all_0_143_143) = all_0_24_24 & h3(all_0_144_144) = all_0_26_26 & h3(all_0_145_145) = all_0_28_28 & h3(all_0_146_146) = all_0_30_30 & h3(all_0_147_147) = all_0_32_32 & h3(all_0_148_148) = all_0_34_34 & h3(all_0_149_149) = all_0_36_36 & h3(all_0_150_150) = all_0_38_38 & h3(all_0_151_151) = all_0_40_40 & h3(e13) = e22 & h3(e12) = all_0_103_103 & h3(e11) = all_0_128_128 & h3(e10) = all_0_97_97 & h4(all_0_139_139) = all_0_0_0 & h4(all_0_140_140) = all_0_1_1 & h4(all_0_141_141) = all_0_2_2 & h4(all_0_142_142) = all_0_3_3 & h4(all_0_143_143) = all_0_4_4 & h4(all_0_144_144) = all_0_5_5 & h4(all_0_145_145) = all_0_6_6 & h4(all_0_146_146) = all_0_7_7 & h4(all_0_147_147) = all_0_8_8 & h4(all_0_148_148) = all_0_9_9 & h4(all_0_149_149) = all_0_10_10 & h4(all_0_150_150) = all_0_11_11 & h4(all_0_151_151) = all_0_12_12 & h4(e13) = e23 & h4(e12) = e22 & h4(e11) = e21 & h4(e10) = e20 & op2(all_0_97_97, all_0_97_97) = all_0_39_39 & op2(all_0_97_97, all_0_103_103) = all_0_35_35 & op2(all_0_97_97, all_0_128_128) = all_0_37_37 & op2(all_0_97_97, e22) = all_0_33_33 & op2(all_0_98_98, all_0_98_98) = all_0_67_67 & op2(all_0_98_98, all_0_107_107) = all_0_63_63 & op2(all_0_98_98, all_0_133_133) = all_0_65_65 & op2(all_0_98_98, e21) = all_0_61_61 & op2(all_0_99_99, all_0_99_99) = all_0_95_95 & op2(all_0_99_99, all_0_112_112) = all_0_91_91 & op2(all_0_99_99, all_0_138_138) = all_0_93_93 & op2(all_0_99_99, e20) = all_0_89_89 & op2(all_0_103_103, all_0_97_97) = all_0_23_23 & op2(all_0_103_103, all_0_103_103) = all_0_19_19 & op2(all_0_103_103, all_0_128_128) = all_0_21_21 & op2(all_0_103_103, e22) = all_0_18_18 & op2(all_0_103_103, e22) = all_0_97_97 & op2(all_0_107_107, all_0_98_98) = all_0_51_51 & op2(all_0_107_107, all_0_107_107) = all_0_47_47 & op2(all_0_107_107, all_0_133_133) = all_0_49_49 & op2(all_0_107_107, e21) = all_0_46_46 & op2(all_0_107_107, e21) = all_0_98_98 & op2(all_0_112_112, all_0_99_99) = all_0_79_79 & op2(all_0_112_112, all_0_112_112) = all_0_75_75 & op2(all_0_112_112, all_0_138_138) = all_0_77_77 & op2(all_0_112_112, e20) = all_0_74_74 & op2(all_0_112_112, e20) = all_0_99_99 & op2(all_0_128_128, all_0_97_97) = all_0_31_31 & op2(all_0_128_128, all_0_103_103) = all_0_27_27 & op2(all_0_128_128, all_0_128_128) = all_0_29_29 & op2(all_0_128_128, e22) = all_0_25_25 & op2(all_0_133_133, all_0_98_98) = all_0_59_59 & op2(all_0_133_133, all_0_107_107) = all_0_55_55 & op2(all_0_133_133, all_0_133_133) = all_0_57_57 & op2(all_0_133_133, e21) = all_0_53_53 & op2(all_0_138_138, all_0_99_99) = all_0_87_87 & op2(all_0_138_138, all_0_112_112) = all_0_83_83 & op2(all_0_138_138, all_0_138_138) = all_0_85_85 & op2(all_0_138_138, e20) = all_0_81_81 & op2(e23, all_0_126_126) = all_0_102_102 & op2(e23, all_0_127_127) = all_0_109_109 & op2(e23, e23) = e21 & op2(e23, e22) = all_0_126_126 & op2(e23, e21) = e22 & op2(e23, e20) = all_0_127_127 & op2(e22, all_0_97_97) = all_0_16_16 & op2(e22, all_0_103_103) = all_0_13_13 & op2(e22, all_0_128_128) = all_0_15_15 & op2(e22, all_0_128_128) = all_0_103_103 & op2(e22, all_0_129_129) = all_0_106_106 & op2(e22, all_0_130_130) = all_0_110_110 & op2(e22, e23) = e20 & op2(e22, e22) = all_0_128_128 & op2(e22, e21) = all_0_129_129 & op2(e22, e20) = all_0_130_130 & op2(e21, all_0_98_98) = all_0_44_44 & op2(e21, all_0_107_107) = all_0_41_41 & op2(e21, all_0_131_131) = all_0_100_100 & op2(e21, all_0_132_132) = all_0_104_104 & op2(e21, all_0_133_133) = all_0_43_43 & op2(e21, all_0_133_133) = all_0_107_107 & op2(e21, all_0_134_134) = all_0_111_111 & op2(e21, e23) = all_0_131_131 & op2(e21, e22) = all_0_132_132 & op2(e21, e21) = all_0_133_133 & op2(e21, e20) = all_0_134_134 & op2(e20, all_0_99_99) = all_0_72_72 & op2(e20, all_0_112_112) = all_0_69_69 & op2(e20, all_0_135_135) = all_0_101_101 & op2(e20, all_0_136_136) = all_0_105_105 & op2(e20, all_0_137_137) = all_0_108_108 & op2(e20, all_0_138_138) = all_0_71_71 & op2(e20, all_0_138_138) = all_0_112_112 & op2(e20, e23) = all_0_135_135 & op2(e20, e22) = all_0_136_136 & op2(e20, e21) = all_0_137_137 & op2(e20, e20) = all_0_138_138 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0)) & ( ~ (all_0_0_0 = all_0_126_126) | ~ (all_0_1_1 = all_0_127_127) | ~ (all_0_2_2 = all_0_128_128) | ~ (all_0_3_3 = all_0_129_129) | ~ (all_0_4_4 = all_0_130_130) | ~ (all_0_5_5 = all_0_131_131) | ~ (all_0_6_6 = all_0_132_132) | ~ (all_0_7_7 = all_0_133_133) | ~ (all_0_8_8 = all_0_134_134) | ~ (all_0_9_9 = all_0_135_135) | ~ (all_0_10_10 = all_0_136_136) | ~ (all_0_11_11 = all_0_137_137) | ~ (all_0_12_12 = all_0_138_138)) & ( ~ (all_0_13_13 = all_0_14_14) | ~ (all_0_15_15 = all_0_103_103) | ~ (all_0_16_16 = all_0_17_17) | ~ (all_0_18_18 = all_0_97_97) | ~ (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_97_97 = e23) & ~ (all_0_103_103 = e23) & ~ (all_0_128_128 = e23)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_103_103 = e21) & ~ (all_0_128_128 = e21)) | ( ~ (all_0_97_97 = e20) & ~ (all_0_103_103 = e20))) & ( ~ (all_0_41_41 = all_0_42_42) | ~ (all_0_43_43 = all_0_107_107) | ~ (all_0_44_44 = all_0_45_45) | ~ (all_0_46_46 = all_0_98_98) | ~ (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_98_98 = e23) & ~ (all_0_107_107 = e23) & ~ (all_0_133_133 = e23)) | ( ~ (all_0_98_98 = e22) & ~ (all_0_107_107 = e22)) | ( ~ (all_0_98_98 = e20) & ~ (all_0_107_107 = e20) & ~ (all_0_133_133 = e20))) & ( ~ (all_0_69_69 = all_0_70_70) | ~ (all_0_71_71 = all_0_112_112) | ~ (all_0_72_72 = all_0_73_73) | ~ (all_0_74_74 = all_0_99_99) | ~ (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_99_99 = e23) & ~ (all_0_112_112 = e23) & ~ (all_0_138_138 = e23)) | ( ~ (all_0_99_99 = e22) & ~ (all_0_112_112 = e22) & ~ (all_0_138_138 = e22)) | ( ~ (all_0_99_99 = e21) & ~ (all_0_112_112 = e21) & ~ (all_0_138_138 = e21))) & (all_0_100_100 = e21 | all_0_101_101 = e20 | all_0_130_130 = e22) & (all_0_102_102 = e23 | all_0_103_103 = e22 | all_0_104_104 = e21 | all_0_105_105 = e20) & (all_0_106_106 = e22 | all_0_107_107 = e21 | all_0_108_108 = e20 | all_0_126_126 = e23) & (all_0_109_109 = e23 | all_0_110_110 = e22 | all_0_111_111 = e21 | all_0_112_112 = e20) & (all_0_113_113 = e11 | all_0_114_114 = e10 | all_0_143_143 = e12) & (all_0_115_115 = e13 | all_0_116_116 = e12 | all_0_117_117 = e11 | all_0_118_118 = e10) & (all_0_119_119 = e12 | all_0_120_120 = e11 | all_0_121_121 = e10 | all_0_139_139 = e13) & (all_0_122_122 = e13 | all_0_123_123 = e12 | all_0_124_124 = e11 | all_0_125_125 = e10) & (all_0_126_126 = e23 | all_0_126_126 = e20) & (all_0_126_126 = e23 | all_0_127_127 = e23) & (all_0_126_126 = e23 | all_0_128_128 = e23 | all_0_132_132 = e23 | all_0_136_136 = e23) & (all_0_126_126 = e20 | all_0_127_127 = e20) & (all_0_126_126 = e20 | all_0_132_132 = e20 | all_0_136_136 = e20) & (all_0_127_127 = e23 | all_0_127_127 = e20) & (all_0_127_127 = e23 | all_0_130_130 = e23 | all_0_134_134 = e23 | all_0_138_138 = e23) & (all_0_127_127 = e20 | all_0_134_134 = e20 | all_0_138_138 = e20) & (all_0_128_128 = e23 | all_0_128_128 = e22 | all_0_128_128 = e21) & (all_0_128_128 = e23 | all_0_129_129 = e23 | all_0_130_130 = e23) & (all_0_128_128 = e22 | all_0_130_130 = e22) & (all_0_128_128 = e22 | all_0_132_132 = e22 | all_0_136_136 = e22) & (all_0_128_128 = e21 | all_0_129_129 = e21 | all_0_130_130 = e21) & (all_0_128_128 = e21 | all_0_132_132 = e21 | all_0_136_136 = e21) & (all_0_129_129 = e23 | all_0_129_129 = e21) & (all_0_129_129 = e23 | all_0_133_133 = e23 | all_0_137_137 = e23) & (all_0_129_129 = e21 | all_0_133_133 = e21 | all_0_137_137 = e21) & (all_0_130_130 = e23 | all_0_130_130 = e22 | all_0_130_130 = e21) & (all_0_130_130 = e22 | all_0_134_134 = e22 | all_0_138_138 = e22) & (all_0_130_130 = e21 | all_0_134_134 = e21 | all_0_138_138 = e21) & (all_0_131_131 = e23 | all_0_131_131 = e22) & (all_0_131_131 = e23 | all_0_132_132 = e23 | all_0_133_133 = e23 | all_0_134_134 = e23) & (all_0_131_131 = e23 | all_0_135_135 = e23) & (all_0_131_131 = e22 | all_0_132_132 = e22 | all_0_134_134 = e22) & (all_0_131_131 = e22 | all_0_135_135 = e22) & (all_0_132_132 = e23 | all_0_132_132 = e22 | all_0_132_132 = e21 | all_0_132_132 = e20) & (all_0_132_132 = e21 | all_0_133_133 = e21 | all_0_134_134 = e21) & (all_0_132_132 = e20 | all_0_133_133 = e20 | all_0_134_134 = e20) & (all_0_133_133 = e23 | all_0_133_133 = e21 | all_0_133_133 = e20) & (all_0_133_133 = e20 | all_0_137_137 = e20) & (all_0_134_134 = e23 | all_0_134_134 = e22 | all_0_134_134 = e21 | all_0_134_134 = e20) & (all_0_135_135 = e23 | all_0_135_135 = e22) & (all_0_135_135 = e23 | all_0_136_136 = e23 | all_0_137_137 = e23 | all_0_138_138 = e23) & (all_0_135_135 = e22 | all_0_136_136 = e22 | all_0_138_138 = e22) & (all_0_136_136 = e23 | all_0_136_136 = e22 | all_0_136_136 = e21 | all_0_136_136 = e20) & (all_0_136_136 = e21 | all_0_137_137 = e21 | all_0_138_138 = e21) & (all_0_136_136 = e20 | all_0_137_137 = e20 | all_0_138_138 = e20) & (all_0_137_137 = e23 | all_0_137_137 = e21 | all_0_137_137 = e20) & (all_0_138_138 = e23 | all_0_138_138 = e22 | all_0_138_138 = e21 | all_0_138_138 = e20) & (all_0_139_139 = e13 | all_0_139_139 = e10) & (all_0_139_139 = e13 | all_0_140_140 = e13) & (all_0_139_139 = e13 | all_0_141_141 = e13 | all_0_145_145 = e13 | all_0_149_149 = e13) & (all_0_139_139 = e10 | all_0_140_140 = e10) & (all_0_139_139 = e10 | all_0_145_145 = e10 | all_0_149_149 = e10) & (all_0_140_140 = e13 | all_0_140_140 = e10) & (all_0_140_140 = e13 | all_0_143_143 = e13 | all_0_147_147 = e13 | all_0_151_151 = e13) & (all_0_140_140 = e10 | all_0_147_147 = e10 | all_0_151_151 = e10) & (all_0_141_141 = e13 | all_0_141_141 = e12 | all_0_141_141 = e11) & (all_0_141_141 = e13 | all_0_142_142 = e13 | all_0_143_143 = e13) & (all_0_141_141 = e12 | all_0_143_143 = e12) & (all_0_141_141 = e12 | all_0_145_145 = e12 | all_0_149_149 = e12) & (all_0_141_141 = e11 | all_0_142_142 = e11 | all_0_143_143 = e11) & (all_0_141_141 = e11 | all_0_145_145 = e11 | all_0_149_149 = e11) & (all_0_142_142 = e13 | all_0_142_142 = e11) & (all_0_142_142 = e13 | all_0_146_146 = e13 | all_0_150_150 = e13) & (all_0_142_142 = e11 | all_0_146_146 = e11 | all_0_150_150 = e11) & (all_0_143_143 = e13 | all_0_143_143 = e12 | all_0_143_143 = e11) & (all_0_143_143 = e12 | all_0_147_147 = e12 | all_0_151_151 = e12) & (all_0_143_143 = e11 | all_0_147_147 = e11 | all_0_151_151 = e11) & (all_0_144_144 = e13 | all_0_144_144 = e12) & (all_0_144_144 = e13 | all_0_145_145 = e13 | all_0_146_146 = e13 | all_0_147_147 = e13) & (all_0_144_144 = e13 | all_0_148_148 = e13) & (all_0_144_144 = e12 | all_0_145_145 = e12 | all_0_147_147 = e12) & (all_0_144_144 = e12 | all_0_148_148 = e12) & (all_0_145_145 = e13 | all_0_145_145 = e12 | all_0_145_145 = e11 | all_0_145_145 = e10) & (all_0_145_145 = e11 | all_0_146_146 = e11 | all_0_147_147 = e11) & (all_0_145_145 = e10 | all_0_146_146 = e10 | all_0_147_147 = e10) & (all_0_146_146 = e13 | all_0_146_146 = e11 | all_0_146_146 = e10) & (all_0_146_146 = e10 | all_0_150_150 = e10) & (all_0_147_147 = e13 | all_0_147_147 = e12 | all_0_147_147 = e11 | all_0_147_147 = e10) & (all_0_148_148 = e13 | all_0_148_148 = e12) & (all_0_148_148 = e13 | all_0_149_149 = e13 | all_0_150_150 = e13 | all_0_151_151 = e13) & (all_0_148_148 = e12 | all_0_149_149 = e12 | all_0_151_151 = e12) & (all_0_149_149 = e13 | all_0_149_149 = e12 | all_0_149_149 = e11 | all_0_149_149 = e10) & (all_0_149_149 = e11 | all_0_150_150 = e11 | all_0_151_151 = e11) & (all_0_149_149 = e10 | all_0_150_150 = e10 | all_0_151_151 = e10) & (all_0_150_150 = e13 | all_0_150_150 = e11 | all_0_150_150 = e10) & (all_0_151_151 = e13 | all_0_151_151 = e12 | all_0_151_151 = e11 | all_0_151_151 = e10) & ((all_0_127_127 = e23 & all_0_135_135 = e23 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)) | (all_0_129_129 = e21 & all_0_132_132 = e21 & ~ (all_0_128_128 = e22) & ~ (all_0_138_138 = e22)) | (all_0_130_130 = e22 & all_0_136_136 = e22 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)) | (all_0_134_134 = e21 & all_0_137_137 = e21 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20))) & ((all_0_140_140 = e13 & all_0_148_148 = e13 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10)) | (all_0_142_142 = e11 & all_0_145_145 = e11 & ~ (all_0_141_141 = e12) & ~ (all_0_151_151 = e12)) | (all_0_143_143 = e12 & all_0_149_149 = e12 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10)) | (all_0_147_147 = e11 & all_0_150_150 = e11 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10)))
% 11.86/3.18 |
% 11.86/3.18 | Applying alpha-rule on (1) yields:
% 11.86/3.18 | (2) ~ (all_0_129_129 = e20)
% 11.86/3.18 | (3) h2(all_0_151_151) = all_0_68_68
% 11.86/3.18 | (4) h1(e10) = all_0_99_99
% 11.86/3.18 | (5) h4(all_0_140_140) = all_0_1_1
% 11.86/3.18 | (6) ~ (all_0_142_142 = e12)
% 11.86/3.18 | (7) ~ (all_0_142_142 = all_0_150_150)
% 11.86/3.18 | (8) op2(all_0_133_133, e21) = all_0_53_53
% 11.86/3.18 | (9) op2(all_0_97_97, all_0_97_97) = all_0_39_39
% 11.86/3.18 | (10) op2(e20, all_0_135_135) = all_0_101_101
% 11.86/3.18 | (11) ~ (all_0_136_136 = all_0_137_137)
% 11.86/3.18 | (12) h1(e12) = all_0_112_112
% 11.86/3.18 | (13) ~ (all_0_130_130 = all_0_138_138)
% 11.86/3.18 | (14) h2(all_0_146_146) = all_0_58_58
% 11.86/3.18 | (15) ~ (all_0_144_144 = all_0_147_147)
% 11.86/3.18 | (16) ~ (all_0_129_129 = all_0_137_137)
% 11.86/3.18 | (17) op1(e11, all_0_145_145) = all_0_117_117
% 11.86/3.18 | (18) all_0_129_129 = e23 | all_0_133_133 = e23 | all_0_137_137 = e23
% 11.86/3.18 | (19) ~ (all_0_132_132 = all_0_134_134)
% 11.86/3.18 | (20) all_0_128_128 = e21 | all_0_132_132 = e21 | all_0_136_136 = e21
% 11.86/3.18 | (21) all_0_126_126 = e20 | all_0_132_132 = e20 | all_0_136_136 = e20
% 11.86/3.18 | (22) op2(all_0_138_138, all_0_138_138) = all_0_85_85
% 11.86/3.18 | (23) h3(all_0_151_151) = all_0_40_40
% 11.86/3.18 | (24) ~ (e23 = e22)
% 11.86/3.18 | (25) h3(e13) = e22
% 11.86/3.18 | (26) ~ (e21 = e10)
% 11.86/3.18 | (27) ~ (all_0_13_13 = all_0_14_14) | ~ (all_0_15_15 = all_0_103_103) | ~ (all_0_16_16 = all_0_17_17) | ~ (all_0_18_18 = all_0_97_97) | ~ (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_97_97 = e23) & ~ (all_0_103_103 = e23) & ~ (all_0_128_128 = e23)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_103_103 = e21) & ~ (all_0_128_128 = e21)) | ( ~ (all_0_97_97 = e20) & ~ (all_0_103_103 = e20))
% 11.86/3.18 | (28) h4(e12) = e22
% 11.86/3.18 | (29) op2(e21, all_0_134_134) = all_0_111_111
% 11.86/3.18 | (30) ~ (all_0_132_132 = all_0_133_133)
% 11.89/3.18 | (31) op2(all_0_97_97, all_0_103_103) = all_0_35_35
% 11.89/3.18 | (32) h1(all_0_139_139) = all_0_70_70
% 11.89/3.18 | (33) h3(all_0_143_143) = all_0_24_24
% 11.89/3.18 | (34) all_0_131_131 = e23 | all_0_131_131 = e22
% 11.89/3.18 | (35) op2(all_0_138_138, all_0_112_112) = all_0_83_83
% 11.89/3.18 | (36) op2(all_0_112_112, all_0_112_112) = all_0_75_75
% 11.89/3.18 | (37) op2(all_0_97_97, all_0_128_128) = all_0_37_37
% 11.89/3.18 | (38) op1(e10, e10) = all_0_151_151
% 11.89/3.18 | (39) op2(e21, all_0_133_133) = all_0_43_43
% 11.89/3.18 | (40) op2(all_0_133_133, all_0_98_98) = all_0_59_59
% 11.89/3.18 | (41) ~ (all_0_131_131 = all_0_134_134)
% 11.89/3.18 | (42) h1(e13) = e20
% 11.89/3.18 | (43) h1(all_0_146_146) = all_0_86_86
% 11.89/3.18 | (44) all_0_139_139 = e13 | all_0_141_141 = e13 | all_0_145_145 = e13 | all_0_149_149 = e13
% 11.89/3.18 | (45) ~ (all_0_127_127 = e21)
% 11.89/3.18 | (46) op1(e13, e13) = e11
% 11.89/3.18 | (47) ~ (e22 = e11)
% 11.89/3.18 | (48) (all_0_127_127 = e23 & all_0_135_135 = e23 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)) | (all_0_129_129 = e21 & all_0_132_132 = e21 & ~ (all_0_128_128 = e22) & ~ (all_0_138_138 = e22)) | (all_0_130_130 = e22 & all_0_136_136 = e22 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)) | (all_0_134_134 = e21 & all_0_137_137 = e21 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20))
% 11.89/3.19 | (49) all_0_100_100 = e21 | all_0_101_101 = e20 | all_0_130_130 = e22
% 11.89/3.19 | (50) op2(e22, e23) = e20
% 11.89/3.19 | (51) h3(all_0_146_146) = all_0_30_30
% 11.89/3.19 | (52) ~ (all_0_134_134 = all_0_138_138)
% 11.89/3.19 | (53) ~ (all_0_129_129 = all_0_133_133)
% 11.89/3.19 | (54) ~ (all_0_144_144 = all_0_148_148)
% 11.89/3.19 | (55) op1(e10, all_0_150_150) = all_0_121_121
% 11.89/3.19 | (56) ~ (all_0_126_126 = all_0_127_127)
% 11.89/3.19 | (57) ~ (all_0_146_146 = all_0_147_147)
% 11.89/3.19 | (58) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0))
% 11.89/3.19 | (59) op1(e10, all_0_151_151) = all_0_125_125
% 11.89/3.19 | (60) op2(all_0_128_128, all_0_103_103) = all_0_27_27
% 11.89/3.19 | (61) all_0_128_128 = e23 | all_0_128_128 = e22 | all_0_128_128 = e21
% 11.89/3.19 | (62) all_0_139_139 = e13 | all_0_139_139 = e10
% 11.89/3.19 | (63) op1(e12, e10) = all_0_143_143
% 11.89/3.19 | (64) op2(all_0_98_98, e21) = all_0_61_61
% 11.89/3.19 | (65) h2(all_0_147_147) = all_0_60_60
% 11.89/3.19 | (66) op2(e21, e20) = all_0_134_134
% 11.89/3.19 | (67) ~ (all_0_132_132 = all_0_136_136)
% 11.89/3.19 | (68) op1(e11, all_0_147_147) = all_0_124_124
% 11.89/3.19 | (69) ~ (all_0_139_139 = all_0_141_141)
% 11.89/3.19 | (70) h2(e11) = all_0_133_133
% 11.89/3.19 | (71) all_0_122_122 = e13 | all_0_123_123 = e12 | all_0_124_124 = e11 | all_0_125_125 = e10
% 11.89/3.19 | (72) all_0_135_135 = e23 | all_0_135_135 = e22
% 11.89/3.19 | (73) h3(all_0_149_149) = all_0_36_36
% 11.89/3.19 | (74) all_0_130_130 = e21 | all_0_134_134 = e21 | all_0_138_138 = e21
% 11.89/3.19 | (75) all_0_135_135 = e22 | all_0_136_136 = e22 | all_0_138_138 = e22
% 11.89/3.19 | (76) op2(all_0_128_128, all_0_97_97) = all_0_31_31
% 11.89/3.19 | (77) ~ (all_0_146_146 = all_0_150_150)
% 11.89/3.19 | (78) op2(e22, all_0_128_128) = all_0_15_15
% 11.89/3.19 | (79) all_0_151_151 = e13 | all_0_151_151 = e12 | all_0_151_151 = e11 | all_0_151_151 = e10
% 11.89/3.19 | (80) ~ (all_0_143_143 = all_0_147_147)
% 11.89/3.19 | (81) op1(e11, all_0_146_146) = all_0_120_120
% 11.89/3.19 | (82) op2(e21, all_0_107_107) = all_0_41_41
% 11.89/3.19 | (83) ~ (all_0_145_145 = all_0_147_147)
% 11.89/3.19 | (84) all_0_142_142 = e13 | all_0_146_146 = e13 | all_0_150_150 = e13
% 11.89/3.19 | (85) op2(e21, e22) = all_0_132_132
% 11.89/3.19 | (86) all_0_146_146 = e13 | all_0_146_146 = e11 | all_0_146_146 = e10
% 11.89/3.19 | (87) h3(all_0_148_148) = all_0_34_34
% 11.89/3.19 | (88) op2(all_0_128_128, all_0_128_128) = all_0_29_29
% 11.89/3.19 | (89) ~ (all_0_141_141 = all_0_143_143)
% 11.89/3.19 | (90) ~ (all_0_133_133 = all_0_137_137)
% 11.89/3.19 | (91) ~ (all_0_127_127 = e22)
% 11.89/3.19 | (92) op2(all_0_133_133, all_0_133_133) = all_0_57_57
% 11.89/3.19 | (93) h4(all_0_150_150) = all_0_11_11
% 11.89/3.19 | (94) h2(all_0_148_148) = all_0_62_62
% 11.89/3.19 | (95) ~ (all_0_142_142 = all_0_146_146)
% 11.89/3.19 | (96) h4(all_0_142_142) = all_0_3_3
% 11.89/3.19 | (97) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0))
% 11.89/3.19 | (98) h2(e13) = e21
% 11.89/3.19 | (99) ~ (all_0_145_145 = all_0_149_149)
% 11.89/3.19 | (100) all_0_143_143 = e11 | all_0_147_147 = e11 | all_0_151_151 = e11
% 11.89/3.19 | (101) op2(all_0_112_112, e20) = all_0_99_99
% 11.89/3.19 | (102) all_0_132_132 = e21 | all_0_133_133 = e21 | all_0_134_134 = e21
% 11.89/3.19 | (103) op1(e10, e12) = all_0_149_149
% 11.89/3.19 | (104) ~ (all_0_133_133 = e22)
% 11.89/3.19 | (105) all_0_135_135 = e23 | all_0_136_136 = e23 | all_0_137_137 = e23 | all_0_138_138 = e23
% 11.89/3.19 | (106) ~ (e23 = e13)
% 11.89/3.19 | (107) ~ (all_0_135_135 = e21)
% 11.89/3.19 | (108) (all_0_140_140 = e13 & all_0_148_148 = e13 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10)) | (all_0_142_142 = e11 & all_0_145_145 = e11 & ~ (all_0_141_141 = e12) & ~ (all_0_151_151 = e12)) | (all_0_143_143 = e12 & all_0_149_149 = e12 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10)) | (all_0_147_147 = e11 & all_0_150_150 = e11 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10))
% 11.89/3.19 | (109) all_0_141_141 = e13 | all_0_142_142 = e13 | all_0_143_143 = e13
% 11.89/3.19 | (110) op2(e22, e22) = all_0_128_128
% 11.89/3.19 | (111) h1(all_0_140_140) = all_0_73_73
% 11.89/3.19 | (112) ~ (all_0_127_127 = all_0_138_138)
% 11.89/3.19 | (113) ~ (all_0_131_131 = e20)
% 11.89/3.19 | (114) op2(all_0_103_103, all_0_128_128) = all_0_21_21
% 11.89/3.20 | (115) h3(e11) = all_0_128_128
% 11.89/3.20 | (116) ~ (e22 = e20)
% 11.89/3.20 | (117) ~ (all_0_141_141 = all_0_142_142)
% 11.89/3.20 | (118) op2(e22, e20) = all_0_130_130
% 11.89/3.20 | (119) ~ (all_0_128_128 = all_0_136_136)
% 11.89/3.20 | (120) ~ (all_0_137_137 = all_0_138_138)
% 11.89/3.20 | (121) ~ (all_0_128_128 = all_0_129_129)
% 11.89/3.20 | (122) all_0_131_131 = e22 | all_0_132_132 = e22 | all_0_134_134 = e22
% 11.89/3.20 | (123) all_0_147_147 = e13 | all_0_147_147 = e12 | all_0_147_147 = e11 | all_0_147_147 = e10
% 11.89/3.20 | (124) op2(e21, all_0_132_132) = all_0_104_104
% 11.89/3.20 | (125) h2(all_0_144_144) = all_0_54_54
% 11.89/3.20 | (126) ~ (all_0_147_147 = all_0_151_151)
% 11.89/3.20 | (127) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0))
% 11.89/3.20 | (128) h4(e11) = e21
% 11.89/3.20 | (129) ~ (all_0_143_143 = e10)
% 11.89/3.20 | (130) all_0_128_128 = e22 | all_0_130_130 = e22
% 11.89/3.20 | (131) op2(all_0_112_112, all_0_138_138) = all_0_77_77
% 11.89/3.20 | (132) ~ (all_0_126_126 = all_0_128_128)
% 11.89/3.20 | (133) h4(all_0_147_147) = all_0_8_8
% 11.89/3.20 | (134) all_0_144_144 = e12 | all_0_145_145 = e12 | all_0_147_147 = e12
% 11.89/3.20 | (135) all_0_132_132 = e20 | all_0_133_133 = e20 | all_0_134_134 = e20
% 11.89/3.20 | (136) ~ (all_0_145_145 = all_0_146_146)
% 11.89/3.20 | (137) all_0_149_149 = e13 | all_0_149_149 = e12 | all_0_149_149 = e11 | all_0_149_149 = e10
% 11.89/3.20 | (138) all_0_141_141 = e12 | all_0_145_145 = e12 | all_0_149_149 = e12
% 11.89/3.20 | (139) all_0_141_141 = e11 | all_0_142_142 = e11 | all_0_143_143 = e11
% 11.89/3.20 | (140) all_0_127_127 = e23 | all_0_130_130 = e23 | all_0_134_134 = e23 | all_0_138_138 = e23
% 11.89/3.20 | (141) ~ (all_0_135_135 = all_0_138_138)
% 11.89/3.20 | (142) ~ (all_0_128_128 = e20)
% 11.89/3.20 | (143) all_0_126_126 = e20 | all_0_127_127 = e20
% 11.89/3.20 | (144) ~ (all_0_143_143 = all_0_151_151)
% 11.89/3.20 | (145) h4(all_0_145_145) = all_0_6_6
% 11.89/3.20 | (146) ~ (all_0_131_131 = all_0_133_133)
% 11.89/3.20 | (147) h2(all_0_149_149) = all_0_64_64
% 11.89/3.20 | (148) all_0_139_139 = e10 | all_0_140_140 = e10
% 11.89/3.20 | (149) op1(e11, all_0_144_144) = all_0_113_113
% 11.89/3.20 | (150) h2(all_0_142_142) = all_0_50_50
% 11.89/3.20 | (151) ~ (e21 = e11)
% 11.89/3.20 | (152) all_0_128_128 = e23 | all_0_129_129 = e23 | all_0_130_130 = e23
% 11.89/3.20 | (153) ~ (e12 = e10)
% 11.89/3.20 | (154) ~ (all_0_0_0 = all_0_126_126) | ~ (all_0_1_1 = all_0_127_127) | ~ (all_0_2_2 = all_0_128_128) | ~ (all_0_3_3 = all_0_129_129) | ~ (all_0_4_4 = all_0_130_130) | ~ (all_0_5_5 = all_0_131_131) | ~ (all_0_6_6 = all_0_132_132) | ~ (all_0_7_7 = all_0_133_133) | ~ (all_0_8_8 = all_0_134_134) | ~ (all_0_9_9 = all_0_135_135) | ~ (all_0_10_10 = all_0_136_136) | ~ (all_0_11_11 = all_0_137_137) | ~ (all_0_12_12 = all_0_138_138)
% 11.89/3.20 | (155) ~ (all_0_131_131 = e21)
% 11.89/3.20 | (156) ~ (e20 = e10)
% 11.89/3.20 | (157) h3(all_0_139_139) = all_0_14_14
% 11.89/3.20 | (158) all_0_142_142 = e13 | all_0_142_142 = e11
% 11.89/3.20 | (159) all_0_134_134 = e23 | all_0_134_134 = e22 | all_0_134_134 = e21 | all_0_134_134 = e20
% 11.89/3.20 | (160) h2(all_0_145_145) = all_0_56_56
% 11.89/3.20 | (161) all_0_148_148 = e12 | all_0_149_149 = e12 | all_0_151_151 = e12
% 11.89/3.20 | (162) h1(e11) = all_0_138_138
% 11.89/3.20 | (163) op2(e20, all_0_136_136) = all_0_105_105
% 11.89/3.20 | (164) h4(all_0_139_139) = all_0_0_0
% 11.89/3.20 | (165) op2(all_0_112_112, e20) = all_0_74_74
% 11.89/3.20 | (166) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0))
% 11.89/3.20 | (167) op1(e10, all_0_149_149) = all_0_118_118
% 11.89/3.20 | (168) ~ (all_0_127_127 = all_0_130_130)
% 11.89/3.20 | (169) op1(e10, e13) = all_0_148_148
% 11.89/3.20 | (170) all_0_149_149 = e10 | all_0_150_150 = e10 | all_0_151_151 = e10
% 11.89/3.20 | (171) all_0_141_141 = e11 | all_0_145_145 = e11 | all_0_149_149 = e11
% 11.89/3.20 | (172) ~ (all_0_136_136 = all_0_138_138)
% 11.89/3.20 | (173) all_0_144_144 = e13 | all_0_144_144 = e12
% 11.89/3.20 | (174) op2(all_0_103_103, e22) = all_0_97_97
% 11.89/3.20 | (175) all_0_150_150 = e13 | all_0_150_150 = e11 | all_0_150_150 = e10
% 11.89/3.20 | (176) op2(all_0_99_99, all_0_112_112) = all_0_91_91
% 11.89/3.20 | (177) all_0_129_129 = e21 | all_0_133_133 = e21 | all_0_137_137 = e21
% 11.89/3.20 | (178) op1(e12, e11) = all_0_142_142
% 11.89/3.20 | (179) all_0_140_140 = e13 | all_0_140_140 = e10
% 11.89/3.20 | (180) ~ (all_0_144_144 = all_0_145_145)
% 11.89/3.20 | (181) op2(e20, e23) = all_0_135_135
% 11.89/3.20 | (182) op1(e11, e11) = all_0_146_146
% 11.89/3.20 | (183) op2(e22, all_0_128_128) = all_0_103_103
% 11.89/3.20 | (184) op1(e13, all_0_139_139) = all_0_115_115
% 11.89/3.20 | (185) op1(e10, all_0_148_148) = all_0_114_114
% 11.89/3.20 | (186) ~ (all_0_146_146 = e12)
% 11.89/3.20 | (187) ~ (all_0_126_126 = all_0_136_136)
% 11.89/3.20 | (188) op1(e12, all_0_141_141) = all_0_116_116
% 11.89/3.20 | (189) op1(e11, e10) = all_0_147_147
% 11.89/3.20 | (190) ~ (e13 = e10)
% 12.00/3.20 | (191) op2(e23, e20) = all_0_127_127
% 12.00/3.20 | (192) op2(e21, all_0_98_98) = all_0_44_44
% 12.00/3.20 | (193) h4(all_0_141_141) = all_0_2_2
% 12.00/3.20 | (194) op2(e22, all_0_130_130) = all_0_110_110
% 12.00/3.20 | (195) op1(e13, all_0_140_140) = all_0_122_122
% 12.00/3.20 | (196) ~ (all_0_149_149 = all_0_150_150)
% 12.00/3.20 | (197) op1(e13, e11) = e12
% 12.00/3.20 | (198) ~ (all_0_140_140 = e11)
% 12.00/3.20 | (199) ~ (all_0_140_140 = e12)
% 12.00/3.20 | (200) all_0_130_130 = e22 | all_0_134_134 = e22 | all_0_138_138 = e22
% 12.00/3.20 | (201) op2(e23, all_0_127_127) = all_0_109_109
% 12.00/3.20 | (202) h3(all_0_147_147) = all_0_32_32
% 12.00/3.20 | (203) op1(e13, e12) = all_0_139_139
% 12.00/3.20 | (204) ~ (e20 = e13)
% 12.00/3.20 | (205) ~ (all_0_127_127 = all_0_134_134)
% 12.00/3.20 | (206) all_0_128_128 = e22 | all_0_132_132 = e22 | all_0_136_136 = e22
% 12.00/3.20 | (207) ~ (all_0_139_139 = all_0_145_145)
% 12.00/3.20 | (208) ~ (e20 = e11)
% 12.00/3.20 | (209) op2(all_0_133_133, all_0_107_107) = all_0_55_55
% 12.00/3.20 | (210) h1(all_0_151_151) = all_0_96_96
% 12.00/3.20 | (211) all_0_144_144 = e13 | all_0_148_148 = e13
% 12.00/3.20 | (212) op2(all_0_107_107, all_0_133_133) = all_0_49_49
% 12.00/3.21 | (213) h1(all_0_143_143) = all_0_80_80
% 12.00/3.21 | (214) ~ (all_0_144_144 = all_0_146_146)
% 12.00/3.21 | (215) op2(e21, all_0_131_131) = all_0_100_100
% 12.00/3.21 | (216) h2(all_0_141_141) = all_0_48_48
% 12.00/3.21 | (217) all_0_136_136 = e23 | all_0_136_136 = e22 | all_0_136_136 = e21 | all_0_136_136 = e20
% 12.00/3.21 | (218) all_0_139_139 = e13 | all_0_140_140 = e13
% 12.00/3.21 | (219) op2(e20, e22) = all_0_136_136
% 12.00/3.21 | (220) op2(e21, all_0_133_133) = all_0_107_107
% 12.00/3.21 | (221) ~ (all_0_126_126 = all_0_132_132)
% 12.00/3.21 | (222) all_0_146_146 = e10 | all_0_150_150 = e10
% 12.00/3.21 | (223) ~ (e23 = e10)
% 12.00/3.21 | (224) ~ (all_0_141_141 = all_0_145_145)
% 12.00/3.21 | (225) all_0_133_133 = e23 | all_0_133_133 = e21 | all_0_133_133 = e20
% 12.00/3.21 | (226) ~ (all_0_131_131 = all_0_135_135)
% 12.00/3.21 | (227) ~ (all_0_141_141 = all_0_149_149)
% 12.00/3.21 | (228) all_0_142_142 = e11 | all_0_146_146 = e11 | all_0_150_150 = e11
% 12.00/3.21 | (229) ~ (all_0_128_128 = all_0_130_130)
% 12.00/3.21 | (230) ~ (all_0_148_148 = all_0_149_149)
% 12.00/3.21 | (231) all_0_136_136 = e21 | all_0_137_137 = e21 | all_0_138_138 = e21
% 12.00/3.21 | (232) op2(all_0_98_98, all_0_133_133) = all_0_65_65
% 12.00/3.21 | (233) ~ (all_0_130_130 = all_0_134_134)
% 12.00/3.21 | (234) h3(all_0_141_141) = all_0_20_20
% 12.00/3.21 | (235) op2(all_0_98_98, all_0_107_107) = all_0_63_63
% 12.00/3.21 | (236) ~ (all_0_148_148 = e11)
% 12.00/3.21 | (237) ~ (all_0_139_139 = e11)
% 12.00/3.21 | (238) ~ (all_0_139_139 = all_0_149_149)
% 12.00/3.21 | (239) all_0_128_128 = e21 | all_0_129_129 = e21 | all_0_130_130 = e21
% 12.00/3.21 | (240) op1(e12, all_0_143_143) = all_0_123_123
% 12.00/3.21 | (241) h2(all_0_143_143) = all_0_52_52
% 12.00/3.21 | (242) ~ (all_0_131_131 = all_0_132_132)
% 12.00/3.21 | (243) op2(all_0_103_103, all_0_97_97) = all_0_23_23
% 12.00/3.21 | (244) ~ (all_0_150_150 = all_0_151_151)
% 12.00/3.21 | (245) op2(e20, all_0_99_99) = all_0_72_72
% 12.00/3.21 | (246) all_0_130_130 = e23 | all_0_130_130 = e22 | all_0_130_130 = e21
% 12.00/3.21 | (247) h4(e13) = e23
% 12.00/3.21 | (248) ~ (all_0_149_149 = all_0_151_151)
% 12.00/3.21 | (249) op2(all_0_99_99, all_0_99_99) = all_0_95_95
% 12.00/3.21 | (250) ~ (all_0_128_128 = all_0_132_132)
% 12.00/3.21 | (251) op2(e22, all_0_103_103) = all_0_13_13
% 12.00/3.21 | (252) op1(e12, all_0_142_142) = all_0_119_119
% 12.00/3.21 | (253) all_0_126_126 = e23 | all_0_128_128 = e23 | all_0_132_132 = e23 | all_0_136_136 = e23
% 12.00/3.21 | (254) h4(all_0_144_144) = all_0_5_5
% 12.00/3.21 | (255) ~ (e22 = e21)
% 12.00/3.21 | (256) ~ (all_0_148_148 = e10)
% 12.00/3.21 | (257) all_0_131_131 = e22 | all_0_135_135 = e22
% 12.00/3.21 | (258) op2(e23, e21) = e22
% 12.00/3.21 | (259) ~ (all_0_126_126 = e22)
% 12.00/3.21 | (260) op2(all_0_128_128, e22) = all_0_25_25
% 12.00/3.21 | (261) h4(e10) = e20
% 12.00/3.21 | (262) op1(e12, e13) = e10
% 12.00/3.21 | (263) all_0_132_132 = e23 | all_0_132_132 = e22 | all_0_132_132 = e21 | all_0_132_132 = e20
% 12.00/3.21 | (264) op2(e23, e23) = e21
% 12.00/3.21 | (265) all_0_137_137 = e23 | all_0_137_137 = e21 | all_0_137_137 = e20
% 12.00/3.21 | (266) op2(e22, e21) = all_0_129_129
% 12.00/3.21 | (267) h2(e10) = all_0_98_98
% 12.00/3.21 | (268) ~ (e23 = e12)
% 12.00/3.21 | (269) all_0_143_143 = e13 | all_0_143_143 = e12 | all_0_143_143 = e11
% 12.00/3.21 | (270) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 12.00/3.21 | (271) all_0_138_138 = e23 | all_0_138_138 = e22 | all_0_138_138 = e21 | all_0_138_138 = e20
% 12.00/3.21 | (272) op2(e20, all_0_137_137) = all_0_108_108
% 12.00/3.21 | (273) op2(e21, e23) = all_0_131_131
% 12.00/3.21 | (274) all_0_113_113 = e11 | all_0_114_114 = e10 | all_0_143_143 = e12
% 12.00/3.21 | (275) op2(all_0_107_107, e21) = all_0_46_46
% 12.00/3.21 | (276) op2(all_0_97_97, e22) = all_0_33_33
% 12.00/3.21 | (277) all_0_145_145 = e11 | all_0_146_146 = e11 | all_0_147_147 = e11
% 12.00/3.21 | (278) op2(e20, e20) = all_0_138_138
% 12.00/3.21 | (279) ~ (all_0_140_140 = all_0_143_143)
% 12.00/3.21 | (280) h1(all_0_149_149) = all_0_92_92
% 12.00/3.21 | (281) op1(e11, e13) = all_0_144_144
% 12.00/3.21 | (282) all_0_119_119 = e12 | all_0_120_120 = e11 | all_0_121_121 = e10 | all_0_139_139 = e13
% 12.00/3.21 | (283) all_0_148_148 = e13 | all_0_149_149 = e13 | all_0_150_150 = e13 | all_0_151_151 = e13
% 12.00/3.21 | (284) ~ (e20 = e12)
% 12.00/3.21 | (285) ~ (e23 = e20)
% 12.00/3.21 | (286) all_0_139_139 = e10 | all_0_145_145 = e10 | all_0_149_149 = e10
% 12.00/3.21 | (287) all_0_149_149 = e11 | all_0_150_150 = e11 | all_0_151_151 = e11
% 12.00/3.21 | (288) op2(e20, all_0_112_112) = all_0_69_69
% 12.00/3.21 | (289) ~ (all_0_144_144 = e11)
% 12.00/3.21 | (290) h1(all_0_145_145) = all_0_84_84
% 12.00/3.21 | (291) all_0_127_127 = e20 | all_0_134_134 = e20 | all_0_138_138 = e20
% 12.00/3.21 | (292) h1(all_0_144_144) = all_0_82_82
% 12.00/3.21 | (293) h4(all_0_151_151) = all_0_12_12
% 12.00/3.21 | (294) op2(all_0_99_99, all_0_138_138) = all_0_93_93
% 12.00/3.21 | (295) op2(e20, all_0_138_138) = all_0_112_112
% 12.00/3.21 | (296) all_0_126_126 = e23 | all_0_126_126 = e20
% 12.00/3.21 | (297) all_0_133_133 = e20 | all_0_137_137 = e20
% 12.00/3.21 | (298) all_0_141_141 = e12 | all_0_143_143 = e12
% 12.00/3.21 | (299) ~ (e23 = e21)
% 12.00/3.21 | (300) h2(all_0_139_139) = all_0_42_42
% 12.00/3.21 | (301) h3(all_0_145_145) = all_0_28_28
% 12.00/3.21 | (302) h2(e12) = all_0_107_107
% 12.00/3.21 | (303) ~ (all_0_135_135 = e20)
% 12.00/3.21 | (304) ~ (all_0_129_129 = all_0_130_130)
% 12.00/3.21 | (305) ~ (e22 = e13)
% 12.00/3.21 | (306) ~ (e22 = e12)
% 12.00/3.21 | (307) all_0_136_136 = e20 | all_0_137_137 = e20 | all_0_138_138 = e20
% 12.00/3.21 | (308) op2(all_0_107_107, all_0_107_107) = all_0_47_47
% 12.00/3.21 | (309) op1(e13, e10) = all_0_140_140
% 12.00/3.21 | (310) ~ (e13 = e12)
% 12.00/3.21 | (311) op2(all_0_103_103, e22) = all_0_18_18
% 12.00/3.21 | (312) op2(e20, e21) = all_0_137_137
% 12.00/3.21 | (313) h4(all_0_143_143) = all_0_4_4
% 12.00/3.21 | (314) all_0_148_148 = e13 | all_0_148_148 = e12
% 12.00/3.21 | (315) ~ (all_0_137_137 = e22)
% 12.00/3.21 | (316) ~ (e11 = e10)
% 12.00/3.21 | (317) all_0_131_131 = e23 | all_0_132_132 = e23 | all_0_133_133 = e23 | all_0_134_134 = e23
% 12.00/3.21 | (318) op2(all_0_138_138, all_0_99_99) = all_0_87_87
% 12.00/3.21 | (319) op2(all_0_98_98, all_0_98_98) = all_0_67_67
% 12.00/3.21 | (320) op2(all_0_107_107, e21) = all_0_98_98
% 12.00/3.21 | (321) h1(all_0_141_141) = all_0_76_76
% 12.00/3.21 | (322) ~ (all_0_139_139 = e12)
% 12.00/3.21 | (323) all_0_106_106 = e22 | all_0_107_107 = e21 | all_0_108_108 = e20 | all_0_126_126 = e23
% 12.00/3.21 | (324) all_0_127_127 = e23 | all_0_127_127 = e20
% 12.00/3.21 | (325) h1(all_0_150_150) = all_0_94_94
% 12.00/3.21 | (326) ~ (all_0_133_133 = all_0_134_134)
% 12.00/3.22 | (327) ~ (e23 = e11)
% 12.00/3.22 | (328) all_0_126_126 = e23 | all_0_127_127 = e23
% 12.00/3.22 | (329) h3(all_0_142_142) = all_0_22_22
% 12.00/3.22 | (330) all_0_129_129 = e23 | all_0_129_129 = e21
% 12.00/3.22 | (331) all_0_144_144 = e12 | all_0_148_148 = e12
% 12.00/3.22 | (332) h3(e12) = all_0_103_103
% 12.00/3.22 | (333) ~ (e12 = e11)
% 12.00/3.22 | (334) h3(all_0_150_150) = all_0_38_38
% 12.00/3.22 | (335) op2(e23, all_0_126_126) = all_0_102_102
% 12.00/3.22 | (336) all_0_141_141 = e13 | all_0_141_141 = e12 | all_0_141_141 = e11
% 12.00/3.22 | (337) ~ (e21 = e12)
% 12.00/3.22 | (338) ~ (all_0_144_144 = e10)
% 12.00/3.22 | (339) h3(e10) = all_0_97_97
% 12.00/3.22 | (340) ~ (all_0_140_140 = all_0_151_151)
% 12.00/3.22 | (341) op1(e12, e12) = all_0_141_141
% 12.00/3.22 | (342) h1(all_0_148_148) = all_0_90_90
% 12.00/3.22 | (343) op2(all_0_99_99, e20) = all_0_89_89
% 12.06/3.22 | (344) ~ (all_0_129_129 = e22)
% 12.06/3.22 | (345) op1(e10, e11) = all_0_150_150
% 12.06/3.22 | (346) ~ (e21 = e20)
% 12.06/3.22 | (347) h3(all_0_140_140) = all_0_17_17
% 12.06/3.22 | (348) ~ (all_0_126_126 = e21)
% 12.06/3.22 | (349) h2(all_0_140_140) = all_0_45_45
% 12.06/3.22 | (350) h1(all_0_147_147) = all_0_88_88
% 12.06/3.22 | (351) ~ (all_0_41_41 = all_0_42_42) | ~ (all_0_43_43 = all_0_107_107) | ~ (all_0_44_44 = all_0_45_45) | ~ (all_0_46_46 = all_0_98_98) | ~ (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_98_98 = e23) & ~ (all_0_107_107 = e23) & ~ (all_0_133_133 = e23)) | ( ~ (all_0_98_98 = e22) & ~ (all_0_107_107 = e22)) | ( ~ (all_0_98_98 = e20) & ~ (all_0_107_107 = e20) & ~ (all_0_133_133 = e20))
% 12.06/3.22 | (352) all_0_140_140 = e13 | all_0_143_143 = e13 | all_0_147_147 = e13 | all_0_151_151 = e13
% 12.06/3.22 | (353) op2(all_0_112_112, all_0_99_99) = all_0_79_79
% 12.06/3.22 | (354) all_0_109_109 = e23 | all_0_110_110 = e22 | all_0_111_111 = e21 | all_0_112_112 = e20
% 12.06/3.22 | (355) ~ (all_0_142_142 = all_0_143_143)
% 12.06/3.22 | (356) op2(e20, all_0_138_138) = all_0_71_71
% 12.06/3.22 | (357) ~ (e21 = e13)
% 12.06/3.22 | (358) h4(all_0_148_148) = all_0_9_9
% 12.06/3.22 | (359) op2(all_0_107_107, all_0_98_98) = all_0_51_51
% 12.06/3.22 | (360) ~ (all_0_130_130 = e20)
% 12.06/3.22 | (361) ~ (all_0_135_135 = all_0_137_137)
% 12.06/3.22 | (362) all_0_144_144 = e13 | all_0_145_145 = e13 | all_0_146_146 = e13 | all_0_147_147 = e13
% 12.06/3.22 | (363) op1(e11, e12) = all_0_145_145
% 12.06/3.22 | (364) h4(all_0_146_146) = all_0_7_7
% 12.06/3.22 | (365) ~ (all_0_148_148 = all_0_150_150)
% 12.06/3.22 | (366) op2(e22, all_0_97_97) = all_0_16_16
% 12.06/3.22 | (367) op2(e22, all_0_129_129) = all_0_106_106
% 12.06/3.22 | (368) ~ (all_0_135_135 = all_0_136_136)
% 12.06/3.22 | (369) all_0_145_145 = e13 | all_0_145_145 = e12 | all_0_145_145 = e11 | all_0_145_145 = e10
% 12.06/3.22 | (370) all_0_145_145 = e10 | all_0_146_146 = e10 | all_0_147_147 = e10
% 12.06/3.22 | (371) all_0_131_131 = e23 | all_0_135_135 = e23
% 12.06/3.22 | (372) all_0_140_140 = e10 | all_0_147_147 = e10 | all_0_151_151 = e10
% 12.06/3.22 | (373) h3(all_0_144_144) = all_0_26_26
% 12.06/3.22 | (374) op2(e23, e22) = all_0_126_126
% 12.06/3.22 | (375) ~ (e13 = e11)
% 12.06/3.22 | (376) all_0_143_143 = e12 | all_0_147_147 = e12 | all_0_151_151 = e12
% 12.06/3.22 | (377) ~ (all_0_150_150 = e12)
% 12.06/3.22 | (378) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 12.06/3.22 | (379) op2(all_0_103_103, all_0_103_103) = all_0_19_19
% 12.06/3.22 | (380) ~ (all_0_142_142 = e10)
% 12.06/3.22 | (381) ~ (all_0_69_69 = all_0_70_70) | ~ (all_0_71_71 = all_0_112_112) | ~ (all_0_72_72 = all_0_73_73) | ~ (all_0_74_74 = all_0_99_99) | ~ (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_99_99 = e23) & ~ (all_0_112_112 = e23) & ~ (all_0_138_138 = e23)) | ( ~ (all_0_99_99 = e22) & ~ (all_0_112_112 = e22) & ~ (all_0_138_138 = e22)) | ( ~ (all_0_99_99 = e21) & ~ (all_0_112_112 = e21) & ~ (all_0_138_138 = e21))
% 12.06/3.22 | (382) ~ (all_0_141_141 = e10)
% 12.06/3.22 | (383) ~ (all_0_140_140 = all_0_147_147)
% 12.06/3.22 | (384) h1(all_0_142_142) = all_0_78_78
% 12.06/3.22 | (385) ~ (all_0_139_139 = all_0_140_140)
% 12.06/3.22 | (386) op2(all_0_138_138, e20) = all_0_81_81
% 12.06/3.22 | (387) ~ (all_0_148_148 = all_0_151_151)
% 12.06/3.22 | (388) all_0_102_102 = e23 | all_0_103_103 = e22 | all_0_104_104 = e21 | all_0_105_105 = e20
% 12.06/3.22 | (389) ~ (e22 = e10)
% 12.06/3.22 | (390) op2(e21, e21) = all_0_133_133
% 12.06/3.22 | (391) h2(all_0_150_150) = all_0_66_66
% 12.06/3.22 | (392) h4(all_0_149_149) = all_0_10_10
% 12.06/3.22 | (393) all_0_115_115 = e13 | all_0_116_116 = e12 | all_0_117_117 = e11 | all_0_118_118 = e10
% 12.06/3.22 |
% 12.06/3.22 | Instantiating formula (378) with e22, all_0_128_128, all_0_103_103, all_0_15_15 and discharging atoms op2(e22, all_0_128_128) = all_0_15_15, op2(e22, all_0_128_128) = all_0_103_103, yields:
% 12.06/3.22 | (394) all_0_15_15 = all_0_103_103
% 12.06/3.22 |
% 12.06/3.22 | Instantiating formula (378) with e21, all_0_133_133, all_0_107_107, all_0_43_43 and discharging atoms op2(e21, all_0_133_133) = all_0_43_43, op2(e21, all_0_133_133) = all_0_107_107, yields:
% 12.06/3.22 | (395) all_0_43_43 = all_0_107_107
% 12.06/3.22 |
% 12.06/3.22 | From (394) and (78) follows:
% 12.06/3.22 | (183) op2(e22, all_0_128_128) = all_0_103_103
% 12.06/3.22 |
% 12.06/3.22 | From (395) and (39) follows:
% 12.06/3.22 | (220) op2(e21, all_0_133_133) = all_0_107_107
% 12.06/3.22 |
% 12.06/3.22 +-Applying beta-rule and splitting (330), into two cases.
% 12.06/3.22 |-Branch one:
% 12.06/3.22 | (398) all_0_129_129 = e21
% 12.06/3.22 |
% 12.06/3.22 | Equations (398) can reduce 304 to:
% 12.06/3.22 | (399) ~ (all_0_130_130 = e21)
% 12.06/3.22 |
% 12.06/3.22 | Simplifying 399 yields:
% 12.06/3.22 | (400) ~ (all_0_130_130 = e21)
% 12.06/3.22 |
% 12.06/3.22 | Equations (398) can reduce 16 to:
% 12.06/3.22 | (401) ~ (all_0_137_137 = e21)
% 12.06/3.22 |
% 12.06/3.22 | Simplifying 401 yields:
% 12.06/3.22 | (402) ~ (all_0_137_137 = e21)
% 12.06/3.22 |
% 12.06/3.22 | Equations (398) can reduce 344 to:
% 12.06/3.22 | (403) ~ (e22 = e21)
% 12.06/3.22 |
% 12.06/3.22 | Simplifying 403 yields:
% 12.06/3.22 | (255) ~ (e22 = e21)
% 12.06/3.22 |
% 12.06/3.22 | From (398) and (367) follows:
% 12.06/3.23 | (405) op2(e22, e21) = all_0_106_106
% 12.06/3.23 |
% 12.06/3.23 | From (398) and (266) follows:
% 12.06/3.23 | (406) op2(e22, e21) = e21
% 12.06/3.23 |
% 12.06/3.23 | Instantiating formula (378) with e22, e21, e21, all_0_106_106 and discharging atoms op2(e22, e21) = all_0_106_106, op2(e22, e21) = e21, yields:
% 12.06/3.23 | (407) all_0_106_106 = e21
% 12.06/3.23 |
% 12.06/3.23 +-Applying beta-rule and splitting (328), into two cases.
% 12.06/3.23 |-Branch one:
% 12.06/3.23 | (408) all_0_126_126 = e23
% 12.06/3.23 |
% 12.06/3.23 | Equations (408) can reduce 132 to:
% 12.06/3.23 | (409) ~ (all_0_128_128 = e23)
% 12.06/3.23 |
% 12.06/3.23 | Simplifying 409 yields:
% 12.06/3.23 | (410) ~ (all_0_128_128 = e23)
% 12.06/3.23 |
% 12.06/3.23 | Equations (408) can reduce 259 to:
% 12.06/3.23 | (24) ~ (e23 = e22)
% 12.06/3.23 |
% 12.06/3.23 | Equations (408) can reduce 348 to:
% 12.06/3.23 | (299) ~ (e23 = e21)
% 12.06/3.23 |
% 12.06/3.23 +-Applying beta-rule and splitting (152), into two cases.
% 12.06/3.23 |-Branch one:
% 12.06/3.23 | (413) all_0_128_128 = e23
% 12.06/3.23 |
% 12.06/3.23 | Equations (413) can reduce 410 to:
% 12.06/3.23 | (414) $false
% 12.06/3.23 |
% 12.06/3.23 |-The branch is then unsatisfiable
% 12.06/3.23 |-Branch two:
% 12.06/3.23 | (410) ~ (all_0_128_128 = e23)
% 12.06/3.23 | (416) all_0_129_129 = e23 | all_0_130_130 = e23
% 12.06/3.23 |
% 12.06/3.23 +-Applying beta-rule and splitting (416), into two cases.
% 12.06/3.23 |-Branch one:
% 12.06/3.23 | (417) all_0_129_129 = e23
% 12.06/3.23 |
% 12.06/3.23 | Combining equations (417,398) yields a new equation:
% 12.06/3.23 | (418) e23 = e21
% 12.06/3.23 |
% 12.06/3.23 | Simplifying 418 yields:
% 12.06/3.23 | (419) e23 = e21
% 12.06/3.23 |
% 12.06/3.23 | Equations (419) can reduce 299 to:
% 12.06/3.23 | (414) $false
% 12.06/3.23 |
% 12.06/3.23 |-The branch is then unsatisfiable
% 12.06/3.23 |-Branch two:
% 12.06/3.23 | (421) ~ (all_0_129_129 = e23)
% 12.06/3.23 | (422) all_0_130_130 = e23
% 12.06/3.23 |
% 12.06/3.23 | Equations (422) can reduce 168 to:
% 12.06/3.23 | (423) ~ (all_0_127_127 = e23)
% 12.06/3.23 |
% 12.06/3.23 | Equations (422) can reduce 229 to:
% 12.06/3.23 | (410) ~ (all_0_128_128 = e23)
% 12.06/3.23 |
% 12.06/3.23 +-Applying beta-rule and splitting (48), into two cases.
% 12.06/3.23 |-Branch one:
% 12.06/3.23 | (425) (all_0_127_127 = e23 & all_0_135_135 = e23 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)) | (all_0_129_129 = e21 & all_0_132_132 = e21 & ~ (all_0_128_128 = e22) & ~ (all_0_138_138 = e22)) | (all_0_130_130 = e22 & all_0_136_136 = e22 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20))
% 12.06/3.23 |
% 12.06/3.23 +-Applying beta-rule and splitting (425), into two cases.
% 12.06/3.23 |-Branch one:
% 12.06/3.23 | (426) (all_0_127_127 = e23 & all_0_135_135 = e23 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)) | (all_0_129_129 = e21 & all_0_132_132 = e21 & ~ (all_0_128_128 = e22) & ~ (all_0_138_138 = e22))
% 12.06/3.23 |
% 12.06/3.23 +-Applying beta-rule and splitting (426), into two cases.
% 12.06/3.23 |-Branch one:
% 12.06/3.23 | (427) all_0_127_127 = e23 & all_0_135_135 = e23 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)
% 12.06/3.23 |
% 12.06/3.23 | Applying alpha-rule on (427) yields:
% 12.06/3.23 | (428) all_0_127_127 = e23
% 12.06/3.23 | (429) all_0_135_135 = e23
% 12.06/3.23 | (430) ~ (all_0_133_133 = e20)
% 12.06/3.23 | (431) ~ (all_0_138_138 = e20)
% 12.06/3.23 |
% 12.06/3.23 | Equations (428) can reduce 423 to:
% 12.06/3.23 | (414) $false
% 12.06/3.23 |
% 12.06/3.23 |-The branch is then unsatisfiable
% 12.06/3.23 |-Branch two:
% 12.06/3.23 | (433) all_0_129_129 = e21 & all_0_132_132 = e21 & ~ (all_0_128_128 = e22) & ~ (all_0_138_138 = e22)
% 12.06/3.23 |
% 12.06/3.23 | Applying alpha-rule on (433) yields:
% 12.06/3.23 | (398) all_0_129_129 = e21
% 12.06/3.23 | (435) all_0_132_132 = e21
% 12.06/3.23 | (436) ~ (all_0_128_128 = e22)
% 12.06/3.23 | (437) ~ (all_0_138_138 = e22)
% 12.06/3.23 |
% 12.06/3.23 | Equations (435) can reduce 250 to:
% 12.06/3.23 | (438) ~ (all_0_128_128 = e21)
% 12.06/3.23 |
% 12.06/3.23 +-Applying beta-rule and splitting (206), into two cases.
% 12.06/3.23 |-Branch one:
% 12.06/3.23 | (439) all_0_128_128 = e22
% 12.06/3.23 |
% 12.06/3.23 | Equations (439) can reduce 436 to:
% 12.06/3.23 | (414) $false
% 12.06/3.23 |
% 12.06/3.23 |-The branch is then unsatisfiable
% 12.06/3.23 |-Branch two:
% 12.06/3.23 | (436) ~ (all_0_128_128 = e22)
% 12.06/3.23 | (442) all_0_132_132 = e22 | all_0_136_136 = e22
% 12.06/3.23 |
% 12.06/3.23 +-Applying beta-rule and splitting (442), into two cases.
% 12.06/3.23 |-Branch one:
% 12.06/3.23 | (443) all_0_132_132 = e22
% 12.06/3.23 |
% 12.06/3.23 | Combining equations (435,443) yields a new equation:
% 12.06/3.23 | (444) e22 = e21
% 12.06/3.23 |
% 12.06/3.23 | Equations (444) can reduce 255 to:
% 12.06/3.23 | (414) $false
% 12.06/3.23 |
% 12.06/3.23 |-The branch is then unsatisfiable
% 12.06/3.23 |-Branch two:
% 12.06/3.23 | (446) ~ (all_0_132_132 = e22)
% 12.06/3.23 | (447) all_0_136_136 = e22
% 12.06/3.23 |
% 12.06/3.23 | Equations (447) can reduce 119 to:
% 12.06/3.23 | (436) ~ (all_0_128_128 = e22)
% 12.06/3.23 |
% 12.06/3.23 +-Applying beta-rule and splitting (61), into two cases.
% 12.06/3.23 |-Branch one:
% 12.06/3.23 | (449) all_0_128_128 = e21
% 12.06/3.23 |
% 12.06/3.23 | Equations (449) can reduce 438 to:
% 12.06/3.23 | (414) $false
% 12.06/3.23 |
% 12.06/3.23 |-The branch is then unsatisfiable
% 12.06/3.23 |-Branch two:
% 12.06/3.23 | (438) ~ (all_0_128_128 = e21)
% 12.06/3.23 | (452) all_0_128_128 = e23 | all_0_128_128 = e22
% 12.06/3.23 |
% 12.06/3.23 +-Applying beta-rule and splitting (452), into two cases.
% 12.06/3.23 |-Branch one:
% 12.06/3.23 | (413) all_0_128_128 = e23
% 12.06/3.23 |
% 12.06/3.23 | Equations (413) can reduce 410 to:
% 12.06/3.23 | (414) $false
% 12.06/3.23 |
% 12.06/3.23 |-The branch is then unsatisfiable
% 12.06/3.23 |-Branch two:
% 12.06/3.23 | (410) ~ (all_0_128_128 = e23)
% 12.06/3.23 | (439) all_0_128_128 = e22
% 12.06/3.23 |
% 12.06/3.23 | Equations (439) can reduce 436 to:
% 12.06/3.23 | (414) $false
% 12.06/3.23 |
% 12.06/3.23 |-The branch is then unsatisfiable
% 12.06/3.23 |-Branch two:
% 12.06/3.23 | (458) all_0_130_130 = e22 & all_0_136_136 = e22 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)
% 12.06/3.23 |
% 12.06/3.23 | Applying alpha-rule on (458) yields:
% 12.06/3.23 | (459) all_0_130_130 = e22
% 12.06/3.23 | (447) all_0_136_136 = e22
% 12.06/3.23 | (430) ~ (all_0_133_133 = e20)
% 12.06/3.23 | (431) ~ (all_0_138_138 = e20)
% 12.06/3.23 |
% 12.06/3.23 | Combining equations (459,422) yields a new equation:
% 12.06/3.23 | (463) e23 = e22
% 12.06/3.23 |
% 12.06/3.23 | Equations (463) can reduce 24 to:
% 12.06/3.23 | (414) $false
% 12.06/3.23 |
% 12.06/3.23 |-The branch is then unsatisfiable
% 12.06/3.23 |-Branch two:
% 12.06/3.23 | (465) all_0_134_134 = e21 & all_0_137_137 = e21 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)
% 12.06/3.23 |
% 12.06/3.23 | Applying alpha-rule on (465) yields:
% 12.06/3.23 | (466) all_0_134_134 = e21
% 12.06/3.23 | (467) all_0_137_137 = e21
% 12.06/3.23 | (430) ~ (all_0_133_133 = e20)
% 12.06/3.23 | (431) ~ (all_0_138_138 = e20)
% 12.06/3.23 |
% 12.06/3.23 | Equations (467) can reduce 402 to:
% 12.06/3.23 | (414) $false
% 12.06/3.23 |
% 12.06/3.23 |-The branch is then unsatisfiable
% 12.06/3.23 |-Branch two:
% 12.06/3.23 | (471) ~ (all_0_126_126 = e23)
% 12.06/3.23 | (428) all_0_127_127 = e23
% 12.06/3.23 |
% 12.06/3.23 | Equations (428) can reduce 56 to:
% 12.06/3.23 | (471) ~ (all_0_126_126 = e23)
% 12.06/3.23 |
% 12.06/3.23 | Equations (428) can reduce 168 to:
% 12.06/3.23 | (474) ~ (all_0_130_130 = e23)
% 12.06/3.23 |
% 12.06/3.23 | Simplifying 474 yields:
% 12.06/3.23 | (475) ~ (all_0_130_130 = e23)
% 12.06/3.23 |
% 12.06/3.23 | Equations (428) can reduce 205 to:
% 12.06/3.23 | (476) ~ (all_0_134_134 = e23)
% 12.06/3.23 |
% 12.06/3.23 | Simplifying 476 yields:
% 12.06/3.23 | (477) ~ (all_0_134_134 = e23)
% 12.06/3.23 |
% 12.06/3.23 | Equations (428) can reduce 91 to:
% 12.06/3.23 | (24) ~ (e23 = e22)
% 12.06/3.23 |
% 12.06/3.23 | Equations (428) can reduce 45 to:
% 12.06/3.23 | (299) ~ (e23 = e21)
% 12.06/3.23 |
% 12.06/3.23 +-Applying beta-rule and splitting (296), into two cases.
% 12.06/3.23 |-Branch one:
% 12.06/3.23 | (480) all_0_126_126 = e20
% 12.06/3.23 |
% 12.06/3.23 | Equations (480) can reduce 221 to:
% 12.06/3.23 | (481) ~ (all_0_132_132 = e20)
% 12.06/3.23 |
% 12.06/3.23 | Simplifying 481 yields:
% 12.06/3.23 | (482) ~ (all_0_132_132 = e20)
% 12.06/3.23 |
% 12.06/3.23 | Equations (480) can reduce 187 to:
% 12.06/3.23 | (483) ~ (all_0_136_136 = e20)
% 12.06/3.23 |
% 12.06/3.23 | Simplifying 483 yields:
% 12.06/3.23 | (484) ~ (all_0_136_136 = e20)
% 12.06/3.23 |
% 12.06/3.23 +-Applying beta-rule and splitting (246), into two cases.
% 12.06/3.23 |-Branch one:
% 12.06/3.23 | (485) all_0_130_130 = e21
% 12.06/3.23 |
% 12.06/3.23 | Equations (485) can reduce 400 to:
% 12.06/3.23 | (414) $false
% 12.06/3.23 |
% 12.06/3.23 |-The branch is then unsatisfiable
% 12.06/3.23 |-Branch two:
% 12.06/3.23 | (400) ~ (all_0_130_130 = e21)
% 12.06/3.23 | (488) all_0_130_130 = e23 | all_0_130_130 = e22
% 12.06/3.23 |
% 12.06/3.24 +-Applying beta-rule and splitting (152), into two cases.
% 12.06/3.24 |-Branch one:
% 12.06/3.24 | (413) all_0_128_128 = e23
% 12.06/3.24 |
% 12.06/3.24 | Equations (413) can reduce 229 to:
% 12.06/3.24 | (474) ~ (all_0_130_130 = e23)
% 12.06/3.24 |
% 12.06/3.24 | Simplifying 474 yields:
% 12.06/3.24 | (475) ~ (all_0_130_130 = e23)
% 12.06/3.24 |
% 12.06/3.24 | Equations (413) can reduce 250 to:
% 12.06/3.24 | (492) ~ (all_0_132_132 = e23)
% 12.06/3.24 |
% 12.06/3.24 | Simplifying 492 yields:
% 12.06/3.24 | (493) ~ (all_0_132_132 = e23)
% 12.06/3.24 |
% 12.06/3.24 | Equations (413) can reduce 119 to:
% 12.06/3.24 | (494) ~ (all_0_136_136 = e23)
% 12.06/3.24 |
% 12.06/3.24 | Simplifying 494 yields:
% 12.06/3.24 | (495) ~ (all_0_136_136 = e23)
% 12.06/3.24 |
% 12.06/3.24 | From (413) and (183) follows:
% 12.06/3.24 | (496) op2(e22, e23) = all_0_103_103
% 12.06/3.24 |
% 12.06/3.24 +-Applying beta-rule and splitting (130), into two cases.
% 12.06/3.24 |-Branch one:
% 12.06/3.24 | (439) all_0_128_128 = e22
% 12.06/3.24 |
% 12.06/3.24 | Combining equations (439,413) yields a new equation:
% 12.06/3.24 | (463) e23 = e22
% 12.06/3.24 |
% 12.06/3.24 | Equations (463) can reduce 24 to:
% 12.06/3.24 | (414) $false
% 12.06/3.24 |
% 12.06/3.24 |-The branch is then unsatisfiable
% 12.06/3.24 |-Branch two:
% 12.06/3.24 | (436) ~ (all_0_128_128 = e22)
% 12.06/3.24 | (459) all_0_130_130 = e22
% 12.06/3.24 |
% 12.06/3.24 | Equations (459) can reduce 475 to:
% 12.06/3.24 | (502) ~ (e23 = e22)
% 12.06/3.24 |
% 12.06/3.24 | Simplifying 502 yields:
% 12.06/3.24 | (24) ~ (e23 = e22)
% 12.06/3.24 |
% 12.06/3.24 | Instantiating formula (378) with e22, e23, all_0_103_103, e20 and discharging atoms op2(e22, e23) = all_0_103_103, op2(e22, e23) = e20, yields:
% 12.06/3.24 | (504) all_0_103_103 = e20
% 12.06/3.24 |
% 12.06/3.24 | From (504)(504) and (379) follows:
% 12.06/3.24 | (505) op2(e20, e20) = all_0_19_19
% 12.06/3.24 |
% 12.06/3.24 | Instantiating formula (378) with e20, e20, all_0_19_19, all_0_138_138 and discharging atoms op2(e20, e20) = all_0_19_19, op2(e20, e20) = all_0_138_138, yields:
% 12.06/3.24 | (506) all_0_19_19 = all_0_138_138
% 12.06/3.24 |
% 12.06/3.24 | From (506) and (505) follows:
% 12.06/3.24 | (278) op2(e20, e20) = all_0_138_138
% 12.06/3.24 |
% 12.06/3.24 +-Applying beta-rule and splitting (371), into two cases.
% 12.06/3.24 |-Branch one:
% 12.06/3.24 | (508) all_0_131_131 = e23
% 12.06/3.24 |
% 12.06/3.24 | Equations (508) can reduce 226 to:
% 12.06/3.24 | (509) ~ (all_0_135_135 = e23)
% 12.06/3.24 |
% 12.06/3.24 | Simplifying 509 yields:
% 12.06/3.24 | (510) ~ (all_0_135_135 = e23)
% 12.06/3.24 |
% 12.06/3.24 +-Applying beta-rule and splitting (257), into two cases.
% 12.06/3.24 |-Branch one:
% 12.06/3.24 | (511) all_0_131_131 = e22
% 12.06/3.24 |
% 12.06/3.24 | Combining equations (508,511) yields a new equation:
% 12.06/3.24 | (512) e23 = e22
% 12.06/3.24 |
% 12.06/3.24 | Simplifying 512 yields:
% 12.06/3.24 | (463) e23 = e22
% 12.06/3.24 |
% 12.06/3.24 | Equations (463) can reduce 24 to:
% 12.06/3.24 | (414) $false
% 12.06/3.24 |
% 12.06/3.24 |-The branch is then unsatisfiable
% 12.06/3.24 |-Branch two:
% 12.06/3.24 | (515) ~ (all_0_131_131 = e22)
% 12.06/3.24 | (516) all_0_135_135 = e22
% 12.06/3.24 |
% 12.06/3.24 | Equations (516) can reduce 368 to:
% 12.06/3.24 | (517) ~ (all_0_136_136 = e22)
% 12.06/3.24 |
% 12.06/3.24 | Simplifying 517 yields:
% 12.06/3.24 | (518) ~ (all_0_136_136 = e22)
% 12.06/3.24 |
% 12.06/3.24 | Equations (516) can reduce 510 to:
% 12.06/3.24 | (502) ~ (e23 = e22)
% 12.06/3.24 |
% 12.06/3.24 | Simplifying 502 yields:
% 12.06/3.24 | (24) ~ (e23 = e22)
% 12.06/3.24 |
% 12.06/3.24 +-Applying beta-rule and splitting (48), into two cases.
% 12.06/3.24 |-Branch one:
% 12.06/3.24 | (425) (all_0_127_127 = e23 & all_0_135_135 = e23 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)) | (all_0_129_129 = e21 & all_0_132_132 = e21 & ~ (all_0_128_128 = e22) & ~ (all_0_138_138 = e22)) | (all_0_130_130 = e22 & all_0_136_136 = e22 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20))
% 12.06/3.24 |
% 12.06/3.24 +-Applying beta-rule and splitting (425), into two cases.
% 12.06/3.24 |-Branch one:
% 12.06/3.24 | (426) (all_0_127_127 = e23 & all_0_135_135 = e23 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)) | (all_0_129_129 = e21 & all_0_132_132 = e21 & ~ (all_0_128_128 = e22) & ~ (all_0_138_138 = e22))
% 12.06/3.24 |
% 12.06/3.24 +-Applying beta-rule and splitting (426), into two cases.
% 12.06/3.24 |-Branch one:
% 12.06/3.24 | (427) all_0_127_127 = e23 & all_0_135_135 = e23 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)
% 12.06/3.24 |
% 12.06/3.24 | Applying alpha-rule on (427) yields:
% 12.06/3.24 | (428) all_0_127_127 = e23
% 12.06/3.24 | (429) all_0_135_135 = e23
% 12.06/3.24 | (430) ~ (all_0_133_133 = e20)
% 12.06/3.24 | (431) ~ (all_0_138_138 = e20)
% 12.06/3.24 |
% 12.06/3.24 | Combining equations (516,429) yields a new equation:
% 12.06/3.24 | (463) e23 = e22
% 12.06/3.24 |
% 12.06/3.24 | Equations (463) can reduce 24 to:
% 12.06/3.24 | (414) $false
% 12.06/3.24 |
% 12.06/3.24 |-The branch is then unsatisfiable
% 12.06/3.24 |-Branch two:
% 12.06/3.24 | (433) all_0_129_129 = e21 & all_0_132_132 = e21 & ~ (all_0_128_128 = e22) & ~ (all_0_138_138 = e22)
% 12.06/3.24 |
% 12.06/3.24 | Applying alpha-rule on (433) yields:
% 12.06/3.24 | (398) all_0_129_129 = e21
% 12.06/3.24 | (435) all_0_132_132 = e21
% 12.06/3.24 | (436) ~ (all_0_128_128 = e22)
% 12.06/3.24 | (437) ~ (all_0_138_138 = e22)
% 12.06/3.24 |
% 12.06/3.24 | Equations (435) can reduce 67 to:
% 12.06/3.24 | (535) ~ (all_0_136_136 = e21)
% 12.06/3.24 |
% 12.06/3.24 | Simplifying 535 yields:
% 12.06/3.24 | (536) ~ (all_0_136_136 = e21)
% 12.06/3.24 |
% 12.06/3.24 +-Applying beta-rule and splitting (217), into two cases.
% 12.06/3.24 |-Branch one:
% 12.06/3.24 | (537) all_0_136_136 = e21
% 12.06/3.24 |
% 12.06/3.24 | Equations (537) can reduce 536 to:
% 12.06/3.24 | (414) $false
% 12.06/3.24 |
% 12.06/3.24 |-The branch is then unsatisfiable
% 12.06/3.24 |-Branch two:
% 12.06/3.24 | (536) ~ (all_0_136_136 = e21)
% 12.06/3.24 | (540) all_0_136_136 = e23 | all_0_136_136 = e22 | all_0_136_136 = e20
% 12.06/3.24 |
% 12.06/3.24 +-Applying beta-rule and splitting (540), into two cases.
% 12.06/3.24 |-Branch one:
% 12.06/3.24 | (541) all_0_136_136 = e20
% 12.06/3.24 |
% 12.06/3.24 | Equations (541) can reduce 484 to:
% 12.06/3.24 | (414) $false
% 12.06/3.24 |
% 12.06/3.24 |-The branch is then unsatisfiable
% 12.06/3.24 |-Branch two:
% 12.06/3.24 | (484) ~ (all_0_136_136 = e20)
% 12.06/3.24 | (544) all_0_136_136 = e23 | all_0_136_136 = e22
% 12.06/3.24 |
% 12.06/3.24 +-Applying beta-rule and splitting (544), into two cases.
% 12.06/3.24 |-Branch one:
% 12.06/3.24 | (545) all_0_136_136 = e23
% 12.06/3.24 |
% 12.06/3.24 | Equations (545) can reduce 495 to:
% 12.06/3.24 | (414) $false
% 12.06/3.24 |
% 12.06/3.24 |-The branch is then unsatisfiable
% 12.06/3.24 |-Branch two:
% 12.06/3.24 | (495) ~ (all_0_136_136 = e23)
% 12.06/3.24 | (447) all_0_136_136 = e22
% 12.06/3.24 |
% 12.06/3.24 | Equations (447) can reduce 518 to:
% 12.06/3.24 | (414) $false
% 12.06/3.24 |
% 12.06/3.24 |-The branch is then unsatisfiable
% 12.06/3.24 |-Branch two:
% 12.06/3.24 | (458) all_0_130_130 = e22 & all_0_136_136 = e22 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)
% 12.06/3.24 |
% 12.06/3.24 | Applying alpha-rule on (458) yields:
% 12.06/3.24 | (459) all_0_130_130 = e22
% 12.06/3.24 | (447) all_0_136_136 = e22
% 12.06/3.24 | (430) ~ (all_0_133_133 = e20)
% 12.06/3.24 | (431) ~ (all_0_138_138 = e20)
% 12.06/3.24 |
% 12.06/3.24 | Equations (447) can reduce 518 to:
% 12.06/3.24 | (414) $false
% 12.06/3.24 |
% 12.06/3.24 |-The branch is then unsatisfiable
% 12.06/3.24 |-Branch two:
% 12.06/3.24 | (465) all_0_134_134 = e21 & all_0_137_137 = e21 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)
% 12.06/3.24 |
% 12.06/3.24 | Applying alpha-rule on (465) yields:
% 12.06/3.24 | (466) all_0_134_134 = e21
% 12.06/3.24 | (467) all_0_137_137 = e21
% 12.06/3.24 | (430) ~ (all_0_133_133 = e20)
% 12.06/3.24 | (431) ~ (all_0_138_138 = e20)
% 12.06/3.24 |
% 12.06/3.24 | Equations (467) can reduce 402 to:
% 12.06/3.24 | (414) $false
% 12.06/3.24 |
% 12.06/3.24 |-The branch is then unsatisfiable
% 12.06/3.24 |-Branch two:
% 12.06/3.24 | (562) ~ (all_0_131_131 = e23)
% 12.06/3.24 | (429) all_0_135_135 = e23
% 12.06/3.24 |
% 12.06/3.24 | Equations (429) can reduce 226 to:
% 12.06/3.24 | (562) ~ (all_0_131_131 = e23)
% 12.06/3.24 |
% 12.06/3.24 | Equations (429) can reduce 368 to:
% 12.06/3.24 | (494) ~ (all_0_136_136 = e23)
% 12.06/3.24 |
% 12.06/3.24 | Simplifying 494 yields:
% 12.06/3.24 | (495) ~ (all_0_136_136 = e23)
% 12.06/3.24 |
% 12.06/3.24 | Equations (429) can reduce 303 to:
% 12.06/3.24 | (285) ~ (e23 = e20)
% 12.06/3.24 |
% 12.06/3.24 +-Applying beta-rule and splitting (257), into two cases.
% 12.06/3.24 |-Branch one:
% 12.06/3.24 | (511) all_0_131_131 = e22
% 12.06/3.24 |
% 12.06/3.24 | Equations (511) can reduce 242 to:
% 12.06/3.24 | (569) ~ (all_0_132_132 = e22)
% 12.06/3.24 |
% 12.06/3.24 | Simplifying 569 yields:
% 12.06/3.24 | (446) ~ (all_0_132_132 = e22)
% 12.06/3.24 |
% 12.06/3.24 | Equations (511) can reduce 562 to:
% 12.06/3.24 | (502) ~ (e23 = e22)
% 12.06/3.24 |
% 12.06/3.24 | Simplifying 502 yields:
% 12.06/3.24 | (24) ~ (e23 = e22)
% 12.06/3.24 |
% 12.06/3.24 | From (511) and (273) follows:
% 12.06/3.24 | (573) op2(e21, e23) = e22
% 12.06/3.24 |
% 12.06/3.24 +-Applying beta-rule and splitting (263), into two cases.
% 12.06/3.24 |-Branch one:
% 12.06/3.24 | (435) all_0_132_132 = e21
% 12.06/3.24 |
% 12.06/3.24 | Equations (435) can reduce 19 to:
% 12.06/3.24 | (575) ~ (all_0_134_134 = e21)
% 12.06/3.24 |
% 12.06/3.24 | Simplifying 575 yields:
% 12.06/3.24 | (576) ~ (all_0_134_134 = e21)
% 12.06/3.24 |
% 12.06/3.24 | Equations (435) can reduce 67 to:
% 12.06/3.24 | (535) ~ (all_0_136_136 = e21)
% 12.06/3.24 |
% 12.06/3.24 | Simplifying 535 yields:
% 12.06/3.24 | (536) ~ (all_0_136_136 = e21)
% 12.06/3.24 |
% 12.06/3.24 | Equations (435) can reduce 493 to:
% 12.06/3.25 | (579) ~ (e23 = e21)
% 12.06/3.25 |
% 12.06/3.25 | Simplifying 579 yields:
% 12.06/3.25 | (299) ~ (e23 = e21)
% 12.06/3.25 |
% 12.06/3.25 +-Applying beta-rule and splitting (217), into two cases.
% 12.06/3.25 |-Branch one:
% 12.06/3.25 | (537) all_0_136_136 = e21
% 12.06/3.25 |
% 12.06/3.25 | Equations (537) can reduce 536 to:
% 12.06/3.25 | (414) $false
% 12.06/3.25 |
% 12.06/3.25 |-The branch is then unsatisfiable
% 12.06/3.25 |-Branch two:
% 12.06/3.25 | (536) ~ (all_0_136_136 = e21)
% 12.06/3.25 | (540) all_0_136_136 = e23 | all_0_136_136 = e22 | all_0_136_136 = e20
% 12.06/3.25 |
% 12.06/3.25 +-Applying beta-rule and splitting (540), into two cases.
% 12.06/3.25 |-Branch one:
% 12.06/3.25 | (541) all_0_136_136 = e20
% 12.06/3.25 |
% 12.06/3.25 | Equations (541) can reduce 484 to:
% 12.06/3.25 | (414) $false
% 12.06/3.25 |
% 12.06/3.25 |-The branch is then unsatisfiable
% 12.06/3.25 |-Branch two:
% 12.06/3.25 | (484) ~ (all_0_136_136 = e20)
% 12.06/3.25 | (544) all_0_136_136 = e23 | all_0_136_136 = e22
% 12.06/3.25 |
% 12.06/3.25 +-Applying beta-rule and splitting (544), into two cases.
% 12.06/3.25 |-Branch one:
% 12.06/3.25 | (545) all_0_136_136 = e23
% 12.06/3.25 |
% 12.06/3.25 | Equations (545) can reduce 495 to:
% 12.06/3.25 | (414) $false
% 12.06/3.25 |
% 12.06/3.25 |-The branch is then unsatisfiable
% 12.06/3.25 |-Branch two:
% 12.06/3.25 | (495) ~ (all_0_136_136 = e23)
% 12.06/3.25 | (447) all_0_136_136 = e22
% 12.06/3.25 |
% 12.06/3.25 | Equations (447) can reduce 172 to:
% 12.06/3.25 | (593) ~ (all_0_138_138 = e22)
% 12.06/3.25 |
% 12.06/3.25 | Simplifying 593 yields:
% 12.06/3.25 | (437) ~ (all_0_138_138 = e22)
% 12.06/3.25 |
% 12.06/3.25 | Equations (447) can reduce 495 to:
% 12.06/3.25 | (502) ~ (e23 = e22)
% 12.06/3.25 |
% 12.06/3.25 | Simplifying 502 yields:
% 12.06/3.25 | (24) ~ (e23 = e22)
% 12.06/3.25 |
% 12.06/3.25 | Equations (447) can reduce 536 to:
% 12.06/3.25 | (255) ~ (e22 = e21)
% 12.06/3.25 |
% 12.06/3.25 +-Applying beta-rule and splitting (317), into two cases.
% 12.06/3.25 |-Branch one:
% 12.06/3.25 | (508) all_0_131_131 = e23
% 12.06/3.25 |
% 12.06/3.25 | Combining equations (508,511) yields a new equation:
% 12.06/3.25 | (512) e23 = e22
% 12.06/3.25 |
% 12.06/3.25 | Simplifying 512 yields:
% 12.06/3.25 | (463) e23 = e22
% 12.06/3.25 |
% 12.06/3.25 | Equations (463) can reduce 24 to:
% 12.06/3.25 | (414) $false
% 12.06/3.25 |
% 12.06/3.25 |-The branch is then unsatisfiable
% 12.06/3.25 |-Branch two:
% 12.06/3.25 | (562) ~ (all_0_131_131 = e23)
% 12.06/3.25 | (603) all_0_132_132 = e23 | all_0_133_133 = e23 | all_0_134_134 = e23
% 12.06/3.25 |
% 12.06/3.25 +-Applying beta-rule and splitting (603), into two cases.
% 12.06/3.25 |-Branch one:
% 12.06/3.25 | (604) all_0_132_132 = e23
% 12.06/3.25 |
% 12.06/3.25 | Combining equations (604,435) yields a new equation:
% 12.06/3.25 | (418) e23 = e21
% 12.06/3.25 |
% 12.06/3.25 | Simplifying 418 yields:
% 12.06/3.25 | (419) e23 = e21
% 12.06/3.25 |
% 12.06/3.25 | Equations (419) can reduce 299 to:
% 12.06/3.25 | (414) $false
% 12.06/3.25 |
% 12.06/3.25 |-The branch is then unsatisfiable
% 12.06/3.25 |-Branch two:
% 12.06/3.25 | (493) ~ (all_0_132_132 = e23)
% 12.06/3.25 | (609) all_0_133_133 = e23 | all_0_134_134 = e23
% 12.06/3.25 |
% 12.06/3.25 +-Applying beta-rule and splitting (231), into two cases.
% 12.06/3.25 |-Branch one:
% 12.06/3.25 | (537) all_0_136_136 = e21
% 12.06/3.25 |
% 12.06/3.25 | Combining equations (447,537) yields a new equation:
% 12.06/3.25 | (611) e22 = e21
% 12.06/3.25 |
% 12.06/3.25 | Simplifying 611 yields:
% 12.06/3.25 | (444) e22 = e21
% 12.06/3.25 |
% 12.06/3.25 | Equations (444) can reduce 255 to:
% 12.06/3.25 | (414) $false
% 12.06/3.25 |
% 12.06/3.25 |-The branch is then unsatisfiable
% 12.06/3.25 |-Branch two:
% 12.06/3.25 | (536) ~ (all_0_136_136 = e21)
% 12.06/3.25 | (615) all_0_137_137 = e21 | all_0_138_138 = e21
% 12.06/3.25 |
% 12.06/3.25 | Equations (447) can reduce 536 to:
% 12.06/3.25 | (255) ~ (e22 = e21)
% 12.06/3.25 |
% 12.06/3.25 +-Applying beta-rule and splitting (609), into two cases.
% 12.06/3.25 |-Branch one:
% 12.06/3.25 | (617) all_0_133_133 = e23
% 12.06/3.25 |
% 12.06/3.25 | Equations (617) can reduce 326 to:
% 12.06/3.25 | (476) ~ (all_0_134_134 = e23)
% 12.06/3.25 |
% 12.06/3.25 | Simplifying 476 yields:
% 12.06/3.25 | (477) ~ (all_0_134_134 = e23)
% 12.06/3.25 |
% 12.06/3.25 | Equations (617) can reduce 90 to:
% 12.06/3.25 | (620) ~ (all_0_137_137 = e23)
% 12.06/3.25 |
% 12.06/3.25 | Simplifying 620 yields:
% 12.06/3.25 | (621) ~ (all_0_137_137 = e23)
% 12.06/3.25 |
% 12.06/3.25 | From (617) and (220) follows:
% 12.06/3.25 | (622) op2(e21, e23) = all_0_107_107
% 12.06/3.25 |
% 12.06/3.25 +-Applying beta-rule and splitting (297), into two cases.
% 12.06/3.25 |-Branch one:
% 12.06/3.25 | (623) all_0_133_133 = e20
% 12.06/3.25 |
% 12.06/3.25 | Combining equations (623,617) yields a new equation:
% 12.06/3.25 | (624) e23 = e20
% 12.06/3.25 |
% 12.06/3.25 | Equations (624) can reduce 285 to:
% 12.06/3.25 | (414) $false
% 12.06/3.25 |
% 12.06/3.25 |-The branch is then unsatisfiable
% 12.06/3.25 |-Branch two:
% 12.06/3.25 | (430) ~ (all_0_133_133 = e20)
% 12.06/3.25 | (627) all_0_137_137 = e20
% 12.06/3.25 |
% 12.06/3.25 | Equations (627) can reduce 120 to:
% 12.06/3.25 | (628) ~ (all_0_138_138 = e20)
% 12.06/3.25 |
% 12.06/3.25 | Simplifying 628 yields:
% 12.06/3.25 | (431) ~ (all_0_138_138 = e20)
% 12.06/3.25 |
% 12.06/3.25 | Equations (627) can reduce 621 to:
% 12.06/3.25 | (630) ~ (e23 = e20)
% 12.06/3.25 |
% 12.06/3.25 | Simplifying 630 yields:
% 12.06/3.25 | (285) ~ (e23 = e20)
% 12.06/3.25 |
% 12.06/3.25 | From (627) and (272) follows:
% 12.06/3.25 | (632) op2(e20, e20) = all_0_108_108
% 12.06/3.25 |
% 12.06/3.25 +-Applying beta-rule and splitting (291), into two cases.
% 12.06/3.25 |-Branch one:
% 12.06/3.25 | (633) all_0_127_127 = e20
% 12.06/3.25 |
% 12.06/3.25 | Combining equations (428,633) yields a new equation:
% 12.06/3.25 | (634) e23 = e20
% 12.06/3.25 |
% 12.06/3.25 | Simplifying 634 yields:
% 12.06/3.25 | (624) e23 = e20
% 12.06/3.25 |
% 12.06/3.25 | Equations (624) can reduce 285 to:
% 12.06/3.25 | (414) $false
% 12.06/3.25 |
% 12.06/3.25 |-The branch is then unsatisfiable
% 12.06/3.25 |-Branch two:
% 12.06/3.25 | (637) ~ (all_0_127_127 = e20)
% 12.06/3.25 | (638) all_0_134_134 = e20 | all_0_138_138 = e20
% 12.06/3.25 |
% 12.06/3.25 | Equations (428) can reduce 637 to:
% 12.06/3.25 | (285) ~ (e23 = e20)
% 12.06/3.25 |
% 12.06/3.25 +-Applying beta-rule and splitting (74), into two cases.
% 12.06/3.25 |-Branch one:
% 12.06/3.25 | (485) all_0_130_130 = e21
% 12.06/3.25 |
% 12.06/3.25 | Combining equations (485,459) yields a new equation:
% 12.06/3.25 | (444) e22 = e21
% 12.06/3.25 |
% 12.06/3.25 | Equations (444) can reduce 255 to:
% 12.06/3.25 | (414) $false
% 12.06/3.25 |
% 12.06/3.25 |-The branch is then unsatisfiable
% 12.06/3.25 |-Branch two:
% 12.06/3.25 | (400) ~ (all_0_130_130 = e21)
% 12.06/3.25 | (644) all_0_134_134 = e21 | all_0_138_138 = e21
% 12.06/3.25 |
% 12.06/3.25 +-Applying beta-rule and splitting (644), into two cases.
% 12.06/3.25 |-Branch one:
% 12.06/3.25 | (466) all_0_134_134 = e21
% 12.06/3.25 |
% 12.06/3.25 | Equations (466) can reduce 576 to:
% 12.06/3.25 | (414) $false
% 12.06/3.25 |
% 12.06/3.25 |-The branch is then unsatisfiable
% 12.06/3.25 |-Branch two:
% 12.06/3.25 | (576) ~ (all_0_134_134 = e21)
% 12.06/3.25 | (648) all_0_138_138 = e21
% 12.06/3.25 |
% 12.06/3.25 | Equations (648) can reduce 52 to:
% 12.06/3.25 | (576) ~ (all_0_134_134 = e21)
% 12.06/3.25 |
% 12.06/3.25 | Equations (648) can reduce 437 to:
% 12.06/3.25 | (403) ~ (e22 = e21)
% 12.06/3.25 |
% 12.06/3.25 | Simplifying 403 yields:
% 12.06/3.25 | (255) ~ (e22 = e21)
% 12.06/3.25 |
% 12.06/3.25 | Equations (648) can reduce 431 to:
% 12.06/3.25 | (346) ~ (e21 = e20)
% 12.06/3.25 |
% 12.06/3.25 | From (648) and (278) follows:
% 12.06/3.25 | (653) op2(e20, e20) = e21
% 12.06/3.25 |
% 12.06/3.25 +-Applying beta-rule and splitting (135), into two cases.
% 12.06/3.25 |-Branch one:
% 12.06/3.25 | (654) all_0_132_132 = e20
% 12.06/3.25 |
% 12.06/3.25 | Combining equations (435,654) yields a new equation:
% 12.06/3.25 | (655) e21 = e20
% 12.06/3.25 |
% 12.06/3.25 | Simplifying 655 yields:
% 12.06/3.25 | (656) e21 = e20
% 12.06/3.25 |
% 12.06/3.25 | Equations (656) can reduce 346 to:
% 12.06/3.25 | (414) $false
% 12.06/3.25 |
% 12.06/3.25 |-The branch is then unsatisfiable
% 12.06/3.25 |-Branch two:
% 12.06/3.25 | (482) ~ (all_0_132_132 = e20)
% 12.06/3.25 | (659) all_0_133_133 = e20 | all_0_134_134 = e20
% 12.06/3.25 |
% 12.06/3.25 +-Applying beta-rule and splitting (659), into two cases.
% 12.06/3.25 |-Branch one:
% 12.06/3.25 | (623) all_0_133_133 = e20
% 12.06/3.25 |
% 12.06/3.25 | Combining equations (617,623) yields a new equation:
% 12.06/3.25 | (634) e23 = e20
% 12.06/3.25 |
% 12.06/3.25 | Simplifying 634 yields:
% 12.06/3.25 | (624) e23 = e20
% 12.06/3.25 |
% 12.06/3.25 | Equations (624) can reduce 285 to:
% 12.06/3.25 | (414) $false
% 12.06/3.25 |
% 12.06/3.25 |-The branch is then unsatisfiable
% 12.06/3.25 |-Branch two:
% 12.06/3.25 | (430) ~ (all_0_133_133 = e20)
% 12.06/3.25 | (665) all_0_134_134 = e20
% 12.06/3.25 |
% 12.06/3.25 | Equations (665) can reduce 477 to:
% 12.06/3.25 | (630) ~ (e23 = e20)
% 12.06/3.25 |
% 12.06/3.25 | Simplifying 630 yields:
% 12.06/3.25 | (285) ~ (e23 = e20)
% 12.06/3.25 |
% 12.06/3.25 | Equations (665) can reduce 576 to:
% 12.06/3.25 | (668) ~ (e21 = e20)
% 12.06/3.25 |
% 12.06/3.25 | Simplifying 668 yields:
% 12.06/3.25 | (346) ~ (e21 = e20)
% 12.06/3.25 |
% 12.06/3.25 | Instantiating formula (378) with e21, e23, e22, all_0_107_107 and discharging atoms op2(e21, e23) = all_0_107_107, op2(e21, e23) = e22, yields:
% 12.06/3.26 | (670) all_0_107_107 = e22
% 12.06/3.26 |
% 12.06/3.26 | Instantiating formula (378) with e20, e20, e21, all_0_108_108 and discharging atoms op2(e20, e20) = all_0_108_108, op2(e20, e20) = e21, yields:
% 12.06/3.26 | (671) all_0_108_108 = e21
% 12.06/3.26 |
% 12.06/3.26 +-Applying beta-rule and splitting (323), into two cases.
% 12.06/3.26 |-Branch one:
% 12.06/3.26 | (672) all_0_107_107 = e21
% 12.06/3.26 |
% 12.06/3.26 | Combining equations (670,672) yields a new equation:
% 12.06/3.26 | (611) e22 = e21
% 12.06/3.26 |
% 12.06/3.26 | Simplifying 611 yields:
% 12.06/3.26 | (444) e22 = e21
% 12.06/3.26 |
% 12.06/3.26 | Equations (444) can reduce 255 to:
% 12.06/3.26 | (414) $false
% 12.06/3.26 |
% 12.06/3.26 |-The branch is then unsatisfiable
% 12.06/3.26 |-Branch two:
% 12.06/3.26 | (676) ~ (all_0_107_107 = e21)
% 12.06/3.26 | (677) all_0_106_106 = e22 | all_0_108_108 = e20 | all_0_126_126 = e23
% 12.06/3.26 |
% 12.06/3.26 | Equations (670) can reduce 676 to:
% 12.06/3.26 | (255) ~ (e22 = e21)
% 12.06/3.26 |
% 12.06/3.26 +-Applying beta-rule and splitting (677), into two cases.
% 12.06/3.26 |-Branch one:
% 12.06/3.26 | (679) all_0_108_108 = e20
% 12.06/3.26 |
% 12.06/3.26 | Combining equations (671,679) yields a new equation:
% 12.06/3.26 | (655) e21 = e20
% 12.06/3.26 |
% 12.06/3.26 | Simplifying 655 yields:
% 12.06/3.26 | (656) e21 = e20
% 12.06/3.26 |
% 12.06/3.26 | Equations (656) can reduce 346 to:
% 12.06/3.26 | (414) $false
% 12.06/3.26 |
% 12.06/3.26 |-The branch is then unsatisfiable
% 12.06/3.26 |-Branch two:
% 12.06/3.26 | (683) ~ (all_0_108_108 = e20)
% 12.06/3.26 | (684) all_0_106_106 = e22 | all_0_126_126 = e23
% 12.06/3.26 |
% 12.06/3.26 +-Applying beta-rule and splitting (684), into two cases.
% 12.06/3.26 |-Branch one:
% 12.06/3.26 | (408) all_0_126_126 = e23
% 12.06/3.26 |
% 12.06/3.26 | Combining equations (408,480) yields a new equation:
% 12.06/3.26 | (634) e23 = e20
% 12.06/3.26 |
% 12.06/3.26 | Simplifying 634 yields:
% 12.06/3.26 | (624) e23 = e20
% 12.06/3.26 |
% 12.06/3.26 | Equations (624) can reduce 285 to:
% 12.06/3.26 | (414) $false
% 12.06/3.26 |
% 12.06/3.26 |-The branch is then unsatisfiable
% 12.06/3.26 |-Branch two:
% 12.06/3.26 | (471) ~ (all_0_126_126 = e23)
% 12.06/3.26 | (690) all_0_106_106 = e22
% 12.06/3.26 |
% 12.06/3.26 | Combining equations (407,690) yields a new equation:
% 12.06/3.26 | (444) e22 = e21
% 12.06/3.26 |
% 12.06/3.26 | Equations (444) can reduce 255 to:
% 12.06/3.26 | (414) $false
% 12.06/3.26 |
% 12.06/3.26 |-The branch is then unsatisfiable
% 12.06/3.26 |-Branch two:
% 12.06/3.26 | (693) ~ (all_0_133_133 = e23)
% 12.06/3.26 | (694) all_0_134_134 = e23
% 12.06/3.26 |
% 12.06/3.26 | Equations (694) can reduce 477 to:
% 12.06/3.26 | (414) $false
% 12.06/3.26 |
% 12.06/3.26 |-The branch is then unsatisfiable
% 12.06/3.26 |-Branch two:
% 12.06/3.26 | (696) ~ (all_0_132_132 = e21)
% 12.06/3.26 | (697) all_0_132_132 = e23 | all_0_132_132 = e22 | all_0_132_132 = e20
% 12.06/3.26 |
% 12.06/3.26 +-Applying beta-rule and splitting (697), into two cases.
% 12.06/3.26 |-Branch one:
% 12.06/3.26 | (654) all_0_132_132 = e20
% 12.06/3.26 |
% 12.06/3.26 | Equations (654) can reduce 482 to:
% 12.06/3.26 | (414) $false
% 12.06/3.26 |
% 12.06/3.26 |-The branch is then unsatisfiable
% 12.06/3.26 |-Branch two:
% 12.06/3.26 | (482) ~ (all_0_132_132 = e20)
% 12.06/3.26 | (701) all_0_132_132 = e23 | all_0_132_132 = e22
% 12.06/3.26 |
% 12.06/3.26 +-Applying beta-rule and splitting (317), into two cases.
% 12.06/3.26 |-Branch one:
% 12.06/3.26 | (508) all_0_131_131 = e23
% 12.06/3.26 |
% 12.06/3.26 | Combining equations (511,508) yields a new equation:
% 12.06/3.26 | (463) e23 = e22
% 12.06/3.26 |
% 12.06/3.26 | Equations (463) can reduce 24 to:
% 12.06/3.26 | (414) $false
% 12.06/3.26 |
% 12.06/3.26 |-The branch is then unsatisfiable
% 12.06/3.26 |-Branch two:
% 12.06/3.26 | (562) ~ (all_0_131_131 = e23)
% 12.06/3.26 | (603) all_0_132_132 = e23 | all_0_133_133 = e23 | all_0_134_134 = e23
% 12.06/3.26 |
% 12.06/3.26 +-Applying beta-rule and splitting (603), into two cases.
% 12.06/3.26 |-Branch one:
% 12.06/3.26 | (604) all_0_132_132 = e23
% 12.06/3.26 |
% 12.06/3.26 | Equations (604) can reduce 493 to:
% 12.06/3.26 | (414) $false
% 12.06/3.26 |
% 12.06/3.26 |-The branch is then unsatisfiable
% 12.06/3.26 |-Branch two:
% 12.06/3.26 | (493) ~ (all_0_132_132 = e23)
% 12.06/3.26 | (609) all_0_133_133 = e23 | all_0_134_134 = e23
% 12.06/3.26 |
% 12.06/3.26 +-Applying beta-rule and splitting (609), into two cases.
% 12.06/3.26 |-Branch one:
% 12.06/3.26 | (617) all_0_133_133 = e23
% 12.06/3.26 |
% 12.06/3.26 | Equations (617) can reduce 30 to:
% 12.06/3.26 | (493) ~ (all_0_132_132 = e23)
% 12.06/3.26 |
% 12.06/3.26 +-Applying beta-rule and splitting (701), into two cases.
% 12.06/3.26 |-Branch one:
% 12.06/3.26 | (604) all_0_132_132 = e23
% 12.06/3.26 |
% 12.06/3.26 | Equations (604) can reduce 493 to:
% 12.06/3.26 | (414) $false
% 12.06/3.26 |
% 12.06/3.26 |-The branch is then unsatisfiable
% 12.06/3.26 |-Branch two:
% 12.06/3.26 | (493) ~ (all_0_132_132 = e23)
% 12.06/3.26 | (443) all_0_132_132 = e22
% 12.06/3.26 |
% 12.06/3.26 | Equations (443) can reduce 446 to:
% 12.06/3.26 | (414) $false
% 12.06/3.26 |
% 12.06/3.26 |-The branch is then unsatisfiable
% 12.06/3.26 |-Branch two:
% 12.06/3.26 | (693) ~ (all_0_133_133 = e23)
% 12.06/3.26 | (694) all_0_134_134 = e23
% 12.06/3.26 |
% 12.06/3.26 | Equations (694) can reduce 477 to:
% 12.06/3.26 | (414) $false
% 12.06/3.26 |
% 12.06/3.26 |-The branch is then unsatisfiable
% 12.06/3.26 |-Branch two:
% 12.06/3.26 | (515) ~ (all_0_131_131 = e22)
% 12.06/3.26 | (516) all_0_135_135 = e22
% 12.06/3.26 |
% 12.06/3.26 | Combining equations (429,516) yields a new equation:
% 12.06/3.26 | (512) e23 = e22
% 12.06/3.26 |
% 12.06/3.26 | Simplifying 512 yields:
% 12.06/3.26 | (463) e23 = e22
% 12.06/3.26 |
% 12.06/3.26 | Equations (463) can reduce 24 to:
% 12.06/3.26 | (414) $false
% 12.06/3.26 |
% 12.06/3.26 |-The branch is then unsatisfiable
% 12.06/3.26 |-Branch two:
% 12.06/3.26 | (410) ~ (all_0_128_128 = e23)
% 12.06/3.26 | (416) all_0_129_129 = e23 | all_0_130_130 = e23
% 12.06/3.26 |
% 12.06/3.26 +-Applying beta-rule and splitting (488), into two cases.
% 12.06/3.26 |-Branch one:
% 12.06/3.26 | (422) all_0_130_130 = e23
% 12.06/3.26 |
% 12.06/3.26 | Equations (422) can reduce 475 to:
% 12.06/3.26 | (414) $false
% 12.06/3.26 |
% 12.06/3.26 |-The branch is then unsatisfiable
% 12.06/3.26 |-Branch two:
% 12.06/3.26 | (475) ~ (all_0_130_130 = e23)
% 12.06/3.26 | (459) all_0_130_130 = e22
% 12.06/3.26 |
% 12.06/3.26 | Equations (459) can reduce 475 to:
% 12.06/3.26 | (502) ~ (e23 = e22)
% 12.06/3.26 |
% 12.06/3.26 | Simplifying 502 yields:
% 12.06/3.26 | (24) ~ (e23 = e22)
% 12.06/3.26 |
% 12.06/3.26 +-Applying beta-rule and splitting (416), into two cases.
% 12.06/3.26 |-Branch one:
% 12.06/3.26 | (417) all_0_129_129 = e23
% 12.06/3.26 |
% 12.06/3.26 | Combining equations (417,398) yields a new equation:
% 12.06/3.26 | (418) e23 = e21
% 12.06/3.26 |
% 12.06/3.26 | Simplifying 418 yields:
% 12.06/3.26 | (419) e23 = e21
% 12.06/3.26 |
% 12.06/3.26 | Equations (419) can reduce 299 to:
% 12.06/3.26 | (414) $false
% 12.06/3.26 |
% 12.06/3.26 |-The branch is then unsatisfiable
% 12.06/3.26 |-Branch two:
% 12.06/3.26 | (421) ~ (all_0_129_129 = e23)
% 12.06/3.26 | (422) all_0_130_130 = e23
% 12.06/3.26 |
% 12.06/3.26 | Combining equations (459,422) yields a new equation:
% 12.06/3.26 | (463) e23 = e22
% 12.06/3.26 |
% 12.06/3.26 | Equations (463) can reduce 24 to:
% 12.06/3.26 | (414) $false
% 12.06/3.26 |
% 12.06/3.26 |-The branch is then unsatisfiable
% 12.06/3.26 |-Branch two:
% 12.06/3.26 | (742) ~ (all_0_126_126 = e20)
% 12.06/3.26 | (408) all_0_126_126 = e23
% 12.06/3.26 |
% 12.06/3.26 | Equations (408) can reduce 471 to:
% 12.06/3.26 | (414) $false
% 12.06/3.26 |
% 12.06/3.26 |-The branch is then unsatisfiable
% 12.06/3.26 |-Branch two:
% 12.06/3.26 | (745) ~ (all_0_129_129 = e21)
% 12.06/3.26 | (417) all_0_129_129 = e23
% 12.06/3.26 |
% 12.06/3.26 | Equations (417) can reduce 121 to:
% 12.06/3.26 | (410) ~ (all_0_128_128 = e23)
% 12.06/3.26 |
% 12.06/3.26 | Equations (417) can reduce 53 to:
% 12.06/3.26 | (748) ~ (all_0_133_133 = e23)
% 12.06/3.26 |
% 12.06/3.26 | Simplifying 748 yields:
% 12.06/3.26 | (693) ~ (all_0_133_133 = e23)
% 12.06/3.26 |
% 12.06/3.26 | Equations (417) can reduce 16 to:
% 12.06/3.26 | (620) ~ (all_0_137_137 = e23)
% 12.06/3.26 |
% 12.06/3.26 | Simplifying 620 yields:
% 12.06/3.26 | (621) ~ (all_0_137_137 = e23)
% 12.06/3.26 |
% 12.06/3.26 | Equations (417) can reduce 2 to:
% 12.06/3.26 | (285) ~ (e23 = e20)
% 12.06/3.26 |
% 12.06/3.26 | From (417) and (266) follows:
% 12.06/3.26 | (753) op2(e22, e21) = e23
% 12.06/3.26 |
% 12.06/3.26 +-Applying beta-rule and splitting (328), into two cases.
% 12.06/3.26 |-Branch one:
% 12.06/3.26 | (408) all_0_126_126 = e23
% 12.06/3.26 |
% 12.06/3.26 | Equations (408) can reduce 132 to:
% 12.06/3.26 | (409) ~ (all_0_128_128 = e23)
% 12.06/3.26 |
% 12.06/3.26 | Simplifying 409 yields:
% 12.06/3.26 | (410) ~ (all_0_128_128 = e23)
% 12.06/3.26 |
% 12.06/3.26 | Equations (408) can reduce 221 to:
% 12.06/3.26 | (492) ~ (all_0_132_132 = e23)
% 12.06/3.26 |
% 12.06/3.26 | Simplifying 492 yields:
% 12.06/3.26 | (493) ~ (all_0_132_132 = e23)
% 12.06/3.26 |
% 12.06/3.26 | Equations (408) can reduce 259 to:
% 12.06/3.26 | (24) ~ (e23 = e22)
% 12.06/3.26 |
% 12.06/3.26 | From (408) and (335) follows:
% 12.06/3.26 | (760) op2(e23, e23) = all_0_102_102
% 12.06/3.26 |
% 12.06/3.26 +-Applying beta-rule and splitting (143), into two cases.
% 12.06/3.26 |-Branch one:
% 12.06/3.26 | (480) all_0_126_126 = e20
% 12.06/3.26 |
% 12.06/3.26 | Combining equations (408,480) yields a new equation:
% 12.06/3.26 | (634) e23 = e20
% 12.06/3.26 |
% 12.06/3.26 | Simplifying 634 yields:
% 12.06/3.26 | (624) e23 = e20
% 12.06/3.26 |
% 12.06/3.26 | Equations (624) can reduce 285 to:
% 12.06/3.26 | (414) $false
% 12.06/3.26 |
% 12.06/3.26 |-The branch is then unsatisfiable
% 12.06/3.26 |-Branch two:
% 12.06/3.26 | (742) ~ (all_0_126_126 = e20)
% 12.06/3.26 | (633) all_0_127_127 = e20
% 12.06/3.26 |
% 12.06/3.26 | Equations (633) can reduce 205 to:
% 12.06/3.26 | (767) ~ (all_0_134_134 = e20)
% 12.06/3.26 |
% 12.06/3.26 | Simplifying 767 yields:
% 12.06/3.26 | (768) ~ (all_0_134_134 = e20)
% 12.06/3.26 |
% 12.06/3.26 | Instantiating formula (378) with e23, e23, all_0_102_102, e21 and discharging atoms op2(e23, e23) = all_0_102_102, op2(e23, e23) = e21, yields:
% 12.06/3.26 | (769) all_0_102_102 = e21
% 12.06/3.26 |
% 12.06/3.26 +-Applying beta-rule and splitting (72), into two cases.
% 12.06/3.26 |-Branch one:
% 12.06/3.26 | (429) all_0_135_135 = e23
% 12.06/3.26 |
% 12.06/3.26 | Equations (429) can reduce 226 to:
% 12.06/3.26 | (562) ~ (all_0_131_131 = e23)
% 12.06/3.26 |
% 12.06/3.26 | Equations (429) can reduce 368 to:
% 12.06/3.26 | (494) ~ (all_0_136_136 = e23)
% 12.06/3.26 |
% 12.06/3.26 | Simplifying 494 yields:
% 12.06/3.26 | (495) ~ (all_0_136_136 = e23)
% 12.06/3.26 |
% 12.06/3.26 | Equations (429) can reduce 107 to:
% 12.06/3.26 | (299) ~ (e23 = e21)
% 12.06/3.26 |
% 12.06/3.26 +-Applying beta-rule and splitting (257), into two cases.
% 12.06/3.26 |-Branch one:
% 12.06/3.26 | (511) all_0_131_131 = e22
% 12.06/3.26 |
% 12.06/3.26 | Equations (511) can reduce 562 to:
% 12.06/3.26 | (502) ~ (e23 = e22)
% 12.06/3.26 |
% 12.06/3.26 | Simplifying 502 yields:
% 12.06/3.26 | (24) ~ (e23 = e22)
% 12.06/3.26 |
% 12.06/3.26 +-Applying beta-rule and splitting (317), into two cases.
% 12.06/3.26 |-Branch one:
% 12.06/3.26 | (508) all_0_131_131 = e23
% 12.06/3.26 |
% 12.06/3.27 | Combining equations (511,508) yields a new equation:
% 12.06/3.27 | (463) e23 = e22
% 12.06/3.27 |
% 12.06/3.27 | Equations (463) can reduce 24 to:
% 12.06/3.27 | (414) $false
% 12.06/3.27 |
% 12.06/3.27 |-The branch is then unsatisfiable
% 12.06/3.27 |-Branch two:
% 12.06/3.27 | (562) ~ (all_0_131_131 = e23)
% 12.06/3.27 | (603) all_0_132_132 = e23 | all_0_133_133 = e23 | all_0_134_134 = e23
% 12.06/3.27 |
% 12.06/3.27 +-Applying beta-rule and splitting (603), into two cases.
% 12.06/3.27 |-Branch one:
% 12.06/3.27 | (604) all_0_132_132 = e23
% 12.06/3.27 |
% 12.06/3.27 | Equations (604) can reduce 493 to:
% 12.06/3.27 | (414) $false
% 12.06/3.27 |
% 12.06/3.27 |-The branch is then unsatisfiable
% 12.06/3.27 |-Branch two:
% 12.06/3.27 | (493) ~ (all_0_132_132 = e23)
% 12.06/3.27 | (609) all_0_133_133 = e23 | all_0_134_134 = e23
% 12.06/3.27 |
% 12.06/3.27 +-Applying beta-rule and splitting (609), into two cases.
% 12.06/3.27 |-Branch one:
% 12.06/3.27 | (617) all_0_133_133 = e23
% 12.06/3.27 |
% 12.06/3.27 | Equations (617) can reduce 693 to:
% 12.06/3.27 | (414) $false
% 12.06/3.27 |
% 12.06/3.27 |-The branch is then unsatisfiable
% 12.06/3.27 |-Branch two:
% 12.06/3.27 | (693) ~ (all_0_133_133 = e23)
% 12.06/3.27 | (694) all_0_134_134 = e23
% 12.06/3.27 |
% 12.06/3.27 | Equations (694) can reduce 19 to:
% 12.06/3.27 | (493) ~ (all_0_132_132 = e23)
% 12.06/3.27 |
% 12.06/3.27 | Equations (694) can reduce 326 to:
% 12.06/3.27 | (693) ~ (all_0_133_133 = e23)
% 12.06/3.27 |
% 12.06/3.27 | Equations (694) can reduce 52 to:
% 12.06/3.27 | (793) ~ (all_0_138_138 = e23)
% 12.06/3.27 |
% 12.06/3.27 | Simplifying 793 yields:
% 12.06/3.27 | (794) ~ (all_0_138_138 = e23)
% 12.06/3.27 |
% 12.06/3.27 | Equations (694) can reduce 768 to:
% 12.06/3.27 | (285) ~ (e23 = e20)
% 12.06/3.27 |
% 12.06/3.27 | From (694) and (66) follows:
% 12.06/3.27 | (796) op2(e21, e20) = e23
% 12.06/3.27 |
% 12.06/3.27 +-Applying beta-rule and splitting (48), into two cases.
% 12.06/3.27 |-Branch one:
% 12.06/3.27 | (425) (all_0_127_127 = e23 & all_0_135_135 = e23 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)) | (all_0_129_129 = e21 & all_0_132_132 = e21 & ~ (all_0_128_128 = e22) & ~ (all_0_138_138 = e22)) | (all_0_130_130 = e22 & all_0_136_136 = e22 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20))
% 12.06/3.27 |
% 12.06/3.27 +-Applying beta-rule and splitting (425), into two cases.
% 12.06/3.27 |-Branch one:
% 12.06/3.27 | (426) (all_0_127_127 = e23 & all_0_135_135 = e23 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)) | (all_0_129_129 = e21 & all_0_132_132 = e21 & ~ (all_0_128_128 = e22) & ~ (all_0_138_138 = e22))
% 12.06/3.27 |
% 12.06/3.27 +-Applying beta-rule and splitting (426), into two cases.
% 12.06/3.27 |-Branch one:
% 12.06/3.27 | (427) all_0_127_127 = e23 & all_0_135_135 = e23 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)
% 12.06/3.27 |
% 12.06/3.27 | Applying alpha-rule on (427) yields:
% 12.06/3.27 | (428) all_0_127_127 = e23
% 12.06/3.27 | (429) all_0_135_135 = e23
% 12.06/3.27 | (430) ~ (all_0_133_133 = e20)
% 12.06/3.27 | (431) ~ (all_0_138_138 = e20)
% 12.06/3.27 |
% 12.06/3.27 | Combining equations (428,633) yields a new equation:
% 12.06/3.27 | (634) e23 = e20
% 12.06/3.27 |
% 12.06/3.27 | Simplifying 634 yields:
% 12.06/3.27 | (624) e23 = e20
% 12.06/3.27 |
% 12.06/3.27 | Equations (624) can reduce 285 to:
% 12.06/3.27 | (414) $false
% 12.06/3.27 |
% 12.06/3.27 |-The branch is then unsatisfiable
% 12.06/3.27 |-Branch two:
% 12.06/3.27 | (433) all_0_129_129 = e21 & all_0_132_132 = e21 & ~ (all_0_128_128 = e22) & ~ (all_0_138_138 = e22)
% 12.06/3.27 |
% 12.06/3.27 | Applying alpha-rule on (433) yields:
% 12.06/3.27 | (398) all_0_129_129 = e21
% 12.06/3.27 | (435) all_0_132_132 = e21
% 12.06/3.27 | (436) ~ (all_0_128_128 = e22)
% 12.06/3.27 | (437) ~ (all_0_138_138 = e22)
% 12.06/3.27 |
% 12.06/3.27 | Combining equations (398,417) yields a new equation:
% 12.06/3.27 | (419) e23 = e21
% 12.06/3.27 |
% 12.06/3.27 | Equations (419) can reduce 299 to:
% 12.06/3.27 | (414) $false
% 12.06/3.27 |
% 12.06/3.27 |-The branch is then unsatisfiable
% 12.06/3.27 |-Branch two:
% 12.06/3.27 | (458) all_0_130_130 = e22 & all_0_136_136 = e22 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)
% 12.06/3.27 |
% 12.06/3.27 | Applying alpha-rule on (458) yields:
% 12.06/3.27 | (459) all_0_130_130 = e22
% 12.06/3.27 | (447) all_0_136_136 = e22
% 12.06/3.27 | (430) ~ (all_0_133_133 = e20)
% 12.06/3.27 | (431) ~ (all_0_138_138 = e20)
% 12.06/3.27 |
% 12.06/3.27 | Equations (447) can reduce 119 to:
% 12.06/3.27 | (436) ~ (all_0_128_128 = e22)
% 12.06/3.27 |
% 12.06/3.27 | Equations (447) can reduce 67 to:
% 12.06/3.27 | (446) ~ (all_0_132_132 = e22)
% 12.06/3.27 |
% 12.06/3.27 | Equations (447) can reduce 172 to:
% 12.06/3.27 | (593) ~ (all_0_138_138 = e22)
% 12.06/3.27 |
% 12.06/3.27 | Simplifying 593 yields:
% 12.06/3.27 | (437) ~ (all_0_138_138 = e22)
% 12.06/3.27 |
% 12.06/3.27 | Equations (447) can reduce 495 to:
% 12.06/3.27 | (502) ~ (e23 = e22)
% 12.06/3.27 |
% 12.06/3.27 | Simplifying 502 yields:
% 12.06/3.27 | (24) ~ (e23 = e22)
% 12.06/3.27 |
% 12.06/3.27 | From (447) and (163) follows:
% 12.06/3.27 | (825) op2(e20, e22) = all_0_105_105
% 12.06/3.27 |
% 12.06/3.27 | From (447) and (219) follows:
% 12.06/3.27 | (826) op2(e20, e22) = e22
% 12.06/3.27 |
% 12.06/3.27 +-Applying beta-rule and splitting (297), into two cases.
% 12.06/3.27 |-Branch one:
% 12.06/3.27 | (623) all_0_133_133 = e20
% 12.06/3.27 |
% 12.06/3.27 | Equations (623) can reduce 430 to:
% 12.06/3.27 | (414) $false
% 12.06/3.27 |
% 12.06/3.27 |-The branch is then unsatisfiable
% 12.06/3.27 |-Branch two:
% 12.06/3.27 | (430) ~ (all_0_133_133 = e20)
% 12.06/3.27 | (627) all_0_137_137 = e20
% 12.06/3.27 |
% 12.06/3.27 | Equations (627) can reduce 90 to:
% 12.06/3.27 | (430) ~ (all_0_133_133 = e20)
% 12.06/3.27 |
% 12.06/3.27 | Equations (627) can reduce 120 to:
% 12.06/3.27 | (628) ~ (all_0_138_138 = e20)
% 12.06/3.27 |
% 12.06/3.27 | Simplifying 628 yields:
% 12.06/3.27 | (431) ~ (all_0_138_138 = e20)
% 12.06/3.27 |
% 12.06/3.27 +-Applying beta-rule and splitting (61), into two cases.
% 12.06/3.27 |-Branch one:
% 12.06/3.27 | (449) all_0_128_128 = e21
% 12.06/3.27 |
% 12.06/3.27 | From (449) and (183) follows:
% 12.06/3.27 | (835) op2(e22, e21) = all_0_103_103
% 12.06/3.27 |
% 12.06/3.27 +-Applying beta-rule and splitting (271), into two cases.
% 12.06/3.27 |-Branch one:
% 12.06/3.27 | (648) all_0_138_138 = e21
% 12.06/3.27 |
% 12.06/3.27 | From (648) and (386) follows:
% 12.06/3.27 | (837) op2(e21, e20) = all_0_81_81
% 12.06/3.27 |
% 12.06/3.27 +-Applying beta-rule and splitting (225), into two cases.
% 12.06/3.27 |-Branch one:
% 12.06/3.27 | (838) all_0_133_133 = e21
% 12.06/3.27 |
% 12.06/3.27 | Equations (838) can reduce 30 to:
% 12.06/3.27 | (696) ~ (all_0_132_132 = e21)
% 12.06/3.27 |
% 12.06/3.27 | Equations (838) can reduce 693 to:
% 12.06/3.27 | (579) ~ (e23 = e21)
% 12.06/3.27 |
% 12.06/3.27 | Simplifying 579 yields:
% 12.06/3.27 | (299) ~ (e23 = e21)
% 12.06/3.27 |
% 12.06/3.27 +-Applying beta-rule and splitting (263), into two cases.
% 12.06/3.27 |-Branch one:
% 12.06/3.27 | (435) all_0_132_132 = e21
% 12.06/3.27 |
% 12.06/3.27 | Equations (435) can reduce 696 to:
% 12.06/3.27 | (414) $false
% 12.06/3.27 |
% 12.06/3.27 |-The branch is then unsatisfiable
% 12.06/3.27 |-Branch two:
% 12.06/3.27 | (696) ~ (all_0_132_132 = e21)
% 12.06/3.27 | (697) all_0_132_132 = e23 | all_0_132_132 = e22 | all_0_132_132 = e20
% 12.06/3.27 |
% 12.06/3.27 +-Applying beta-rule and splitting (697), into two cases.
% 12.06/3.27 |-Branch one:
% 12.06/3.27 | (654) all_0_132_132 = e20
% 12.06/3.27 |
% 12.06/3.27 | Equations (654) can reduce 446 to:
% 12.06/3.27 | (847) ~ (e22 = e20)
% 12.06/3.27 |
% 12.06/3.27 | Simplifying 847 yields:
% 12.06/3.27 | (116) ~ (e22 = e20)
% 12.06/3.27 |
% 12.06/3.27 | From (654) and (124) follows:
% 12.06/3.27 | (849) op2(e21, e20) = all_0_104_104
% 12.06/3.27 |
% 12.06/3.27 | Instantiating formula (378) with e22, e21, all_0_103_103, e23 and discharging atoms op2(e22, e21) = all_0_103_103, op2(e22, e21) = e23, yields:
% 12.06/3.27 | (850) all_0_103_103 = e23
% 12.06/3.27 |
% 12.06/3.27 | Instantiating formula (378) with e21, e20, all_0_104_104, all_0_81_81 and discharging atoms op2(e21, e20) = all_0_81_81, op2(e21, e20) = all_0_104_104, yields:
% 12.06/3.27 | (851) all_0_81_81 = all_0_104_104
% 12.06/3.27 |
% 12.06/3.27 | Instantiating formula (378) with e21, e20, e23, all_0_81_81 and discharging atoms op2(e21, e20) = all_0_81_81, op2(e21, e20) = e23, yields:
% 12.06/3.27 | (852) all_0_81_81 = e23
% 12.06/3.27 |
% 12.06/3.27 | Instantiating formula (378) with e20, e22, e22, all_0_105_105 and discharging atoms op2(e20, e22) = all_0_105_105, op2(e20, e22) = e22, yields:
% 12.06/3.27 | (853) all_0_105_105 = e22
% 12.06/3.27 |
% 12.06/3.27 | Combining equations (851,852) yields a new equation:
% 12.06/3.27 | (854) all_0_104_104 = e23
% 12.06/3.27 |
% 12.06/3.27 | Simplifying 854 yields:
% 12.06/3.27 | (855) all_0_104_104 = e23
% 12.06/3.27 |
% 12.06/3.27 +-Applying beta-rule and splitting (388), into two cases.
% 12.06/3.27 |-Branch one:
% 12.06/3.27 | (856) all_0_104_104 = e21
% 12.06/3.27 |
% 12.06/3.27 | Combining equations (855,856) yields a new equation:
% 12.06/3.27 | (418) e23 = e21
% 12.06/3.27 |
% 12.06/3.27 | Simplifying 418 yields:
% 12.06/3.27 | (419) e23 = e21
% 12.06/3.27 |
% 12.06/3.27 | Equations (419) can reduce 299 to:
% 12.06/3.27 | (414) $false
% 12.06/3.27 |
% 12.06/3.27 |-The branch is then unsatisfiable
% 12.06/3.27 |-Branch two:
% 12.06/3.27 | (860) ~ (all_0_104_104 = e21)
% 12.06/3.27 | (861) all_0_102_102 = e23 | all_0_103_103 = e22 | all_0_105_105 = e20
% 12.06/3.27 |
% 12.06/3.27 | Equations (855) can reduce 860 to:
% 12.06/3.27 | (299) ~ (e23 = e21)
% 12.06/3.27 |
% 12.06/3.27 +-Applying beta-rule and splitting (861), into two cases.
% 12.06/3.27 |-Branch one:
% 12.06/3.27 | (863) all_0_105_105 = e20
% 12.06/3.27 |
% 12.06/3.27 | Combining equations (853,863) yields a new equation:
% 12.06/3.27 | (864) e22 = e20
% 12.06/3.27 |
% 12.06/3.27 | Simplifying 864 yields:
% 12.06/3.27 | (865) e22 = e20
% 12.06/3.27 |
% 12.06/3.27 | Equations (865) can reduce 116 to:
% 12.06/3.27 | (414) $false
% 12.06/3.27 |
% 12.06/3.27 |-The branch is then unsatisfiable
% 12.06/3.27 |-Branch two:
% 12.06/3.27 | (867) ~ (all_0_105_105 = e20)
% 12.06/3.27 | (868) all_0_102_102 = e23 | all_0_103_103 = e22
% 12.06/3.27 |
% 12.06/3.27 +-Applying beta-rule and splitting (868), into two cases.
% 12.06/3.27 |-Branch one:
% 12.06/3.27 | (869) all_0_102_102 = e23
% 12.06/3.27 |
% 12.06/3.27 | Combining equations (869,769) yields a new equation:
% 12.06/3.27 | (418) e23 = e21
% 12.06/3.27 |
% 12.06/3.27 | Simplifying 418 yields:
% 12.06/3.27 | (419) e23 = e21
% 12.06/3.27 |
% 12.06/3.27 | Equations (419) can reduce 299 to:
% 12.06/3.27 | (414) $false
% 12.06/3.27 |
% 12.06/3.27 |-The branch is then unsatisfiable
% 12.06/3.27 |-Branch two:
% 12.06/3.27 | (873) ~ (all_0_102_102 = e23)
% 12.06/3.27 | (874) all_0_103_103 = e22
% 12.06/3.27 |
% 12.06/3.27 | Combining equations (850,874) yields a new equation:
% 12.06/3.27 | (512) e23 = e22
% 12.06/3.27 |
% 12.06/3.27 | Simplifying 512 yields:
% 12.06/3.27 | (463) e23 = e22
% 12.06/3.27 |
% 12.06/3.27 | Equations (463) can reduce 24 to:
% 12.06/3.27 | (414) $false
% 12.06/3.27 |
% 12.06/3.27 |-The branch is then unsatisfiable
% 12.06/3.27 |-Branch two:
% 12.06/3.27 | (482) ~ (all_0_132_132 = e20)
% 12.06/3.27 | (701) all_0_132_132 = e23 | all_0_132_132 = e22
% 12.06/3.27 |
% 12.06/3.27 +-Applying beta-rule and splitting (701), into two cases.
% 12.06/3.27 |-Branch one:
% 12.06/3.27 | (604) all_0_132_132 = e23
% 12.06/3.27 |
% 12.06/3.27 | Equations (604) can reduce 493 to:
% 12.06/3.27 | (414) $false
% 12.06/3.27 |
% 12.06/3.27 |-The branch is then unsatisfiable
% 12.06/3.27 |-Branch two:
% 12.06/3.27 | (493) ~ (all_0_132_132 = e23)
% 12.06/3.27 | (443) all_0_132_132 = e22
% 12.06/3.27 |
% 12.06/3.27 | Equations (443) can reduce 446 to:
% 12.06/3.27 | (414) $false
% 12.06/3.27 |
% 12.06/3.27 |-The branch is then unsatisfiable
% 12.06/3.27 |-Branch two:
% 12.06/3.27 | (885) ~ (all_0_133_133 = e21)
% 12.06/3.27 | (886) all_0_133_133 = e23 | all_0_133_133 = e20
% 12.06/3.27 |
% 12.06/3.27 +-Applying beta-rule and splitting (886), into two cases.
% 12.06/3.27 |-Branch one:
% 12.06/3.27 | (623) all_0_133_133 = e20
% 12.06/3.27 |
% 12.06/3.27 | Equations (623) can reduce 430 to:
% 12.06/3.27 | (414) $false
% 12.06/3.27 |
% 12.06/3.27 |-The branch is then unsatisfiable
% 12.06/3.27 |-Branch two:
% 12.06/3.27 | (430) ~ (all_0_133_133 = e20)
% 12.06/3.27 | (617) all_0_133_133 = e23
% 12.06/3.27 |
% 12.06/3.27 | Equations (617) can reduce 693 to:
% 12.06/3.27 | (414) $false
% 12.06/3.27 |
% 12.06/3.27 |-The branch is then unsatisfiable
% 12.06/3.27 |-Branch two:
% 12.06/3.27 | (892) ~ (all_0_138_138 = e21)
% 12.06/3.27 | (893) all_0_138_138 = e23 | all_0_138_138 = e22 | all_0_138_138 = e20
% 12.06/3.27 |
% 12.06/3.27 +-Applying beta-rule and splitting (893), into two cases.
% 12.06/3.27 |-Branch one:
% 12.06/3.27 | (894) all_0_138_138 = e20
% 12.06/3.27 |
% 12.06/3.27 | Equations (894) can reduce 431 to:
% 12.06/3.27 | (414) $false
% 12.06/3.27 |
% 12.06/3.27 |-The branch is then unsatisfiable
% 12.06/3.27 |-Branch two:
% 12.06/3.27 | (431) ~ (all_0_138_138 = e20)
% 12.06/3.27 | (897) all_0_138_138 = e23 | all_0_138_138 = e22
% 12.06/3.27 |
% 12.06/3.27 +-Applying beta-rule and splitting (897), into two cases.
% 12.06/3.27 |-Branch one:
% 12.06/3.27 | (898) all_0_138_138 = e23
% 12.06/3.27 |
% 12.06/3.28 | Equations (898) can reduce 794 to:
% 12.06/3.28 | (414) $false
% 12.06/3.28 |
% 12.06/3.28 |-The branch is then unsatisfiable
% 12.06/3.28 |-Branch two:
% 12.06/3.28 | (794) ~ (all_0_138_138 = e23)
% 12.06/3.28 | (901) all_0_138_138 = e22
% 12.06/3.28 |
% 12.06/3.28 | Equations (901) can reduce 437 to:
% 12.06/3.28 | (414) $false
% 12.06/3.28 |
% 12.06/3.28 |-The branch is then unsatisfiable
% 12.06/3.28 |-Branch two:
% 12.06/3.28 | (438) ~ (all_0_128_128 = e21)
% 12.06/3.28 | (452) all_0_128_128 = e23 | all_0_128_128 = e22
% 12.06/3.28 |
% 12.06/3.28 +-Applying beta-rule and splitting (452), into two cases.
% 12.06/3.28 |-Branch one:
% 12.06/3.28 | (413) all_0_128_128 = e23
% 12.06/3.28 |
% 12.06/3.28 | Equations (413) can reduce 410 to:
% 12.06/3.28 | (414) $false
% 12.06/3.28 |
% 12.06/3.28 |-The branch is then unsatisfiable
% 12.06/3.28 |-Branch two:
% 12.06/3.28 | (410) ~ (all_0_128_128 = e23)
% 12.06/3.28 | (439) all_0_128_128 = e22
% 12.06/3.28 |
% 12.06/3.28 | Equations (439) can reduce 436 to:
% 12.06/3.28 | (414) $false
% 12.06/3.28 |
% 12.06/3.28 |-The branch is then unsatisfiable
% 12.06/3.28 |-Branch two:
% 12.06/3.28 | (465) all_0_134_134 = e21 & all_0_137_137 = e21 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)
% 12.06/3.28 |
% 12.06/3.28 | Applying alpha-rule on (465) yields:
% 12.06/3.28 | (466) all_0_134_134 = e21
% 12.06/3.28 | (467) all_0_137_137 = e21
% 12.06/3.28 | (430) ~ (all_0_133_133 = e20)
% 12.06/3.28 | (431) ~ (all_0_138_138 = e20)
% 12.06/3.28 |
% 12.06/3.28 | Combining equations (466,694) yields a new equation:
% 12.06/3.28 | (419) e23 = e21
% 12.06/3.28 |
% 12.06/3.28 | Equations (419) can reduce 299 to:
% 12.06/3.28 | (414) $false
% 12.06/3.28 |
% 12.06/3.28 |-The branch is then unsatisfiable
% 12.06/3.28 |-Branch two:
% 12.06/3.28 | (515) ~ (all_0_131_131 = e22)
% 12.06/3.28 | (516) all_0_135_135 = e22
% 12.06/3.28 |
% 12.06/3.28 | Combining equations (429,516) yields a new equation:
% 12.06/3.28 | (512) e23 = e22
% 12.06/3.28 |
% 12.06/3.28 | Simplifying 512 yields:
% 12.06/3.28 | (463) e23 = e22
% 12.06/3.28 |
% 12.06/3.28 | Equations (463) can reduce 24 to:
% 12.06/3.28 | (414) $false
% 12.06/3.28 |
% 12.06/3.28 |-The branch is then unsatisfiable
% 12.06/3.28 |-Branch two:
% 12.06/3.28 | (510) ~ (all_0_135_135 = e23)
% 12.06/3.28 | (516) all_0_135_135 = e22
% 12.06/3.28 |
% 12.06/3.28 | Equations (516) can reduce 368 to:
% 12.06/3.28 | (517) ~ (all_0_136_136 = e22)
% 12.06/3.28 |
% 12.06/3.28 | Simplifying 517 yields:
% 12.06/3.28 | (518) ~ (all_0_136_136 = e22)
% 12.06/3.28 |
% 12.06/3.28 | Equations (516) can reduce 510 to:
% 12.06/3.28 | (502) ~ (e23 = e22)
% 12.06/3.28 |
% 12.06/3.28 | Simplifying 502 yields:
% 12.06/3.28 | (24) ~ (e23 = e22)
% 12.06/3.28 |
% 12.06/3.28 | Equations (516) can reduce 303 to:
% 12.06/3.28 | (116) ~ (e22 = e20)
% 12.06/3.28 |
% 12.06/3.28 +-Applying beta-rule and splitting (371), into two cases.
% 12.06/3.28 |-Branch one:
% 12.06/3.28 | (508) all_0_131_131 = e23
% 12.06/3.28 |
% 12.06/3.28 | Equations (508) can reduce 155 to:
% 12.06/3.28 | (299) ~ (e23 = e21)
% 12.06/3.28 |
% 12.06/3.28 +-Applying beta-rule and splitting (48), into two cases.
% 12.06/3.28 |-Branch one:
% 12.06/3.28 | (425) (all_0_127_127 = e23 & all_0_135_135 = e23 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)) | (all_0_129_129 = e21 & all_0_132_132 = e21 & ~ (all_0_128_128 = e22) & ~ (all_0_138_138 = e22)) | (all_0_130_130 = e22 & all_0_136_136 = e22 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20))
% 12.06/3.28 |
% 12.06/3.28 +-Applying beta-rule and splitting (425), into two cases.
% 12.06/3.28 |-Branch one:
% 12.06/3.28 | (426) (all_0_127_127 = e23 & all_0_135_135 = e23 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)) | (all_0_129_129 = e21 & all_0_132_132 = e21 & ~ (all_0_128_128 = e22) & ~ (all_0_138_138 = e22))
% 12.06/3.28 |
% 12.06/3.28 +-Applying beta-rule and splitting (426), into two cases.
% 12.06/3.28 |-Branch one:
% 12.06/3.28 | (427) all_0_127_127 = e23 & all_0_135_135 = e23 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)
% 12.06/3.28 |
% 12.06/3.28 | Applying alpha-rule on (427) yields:
% 12.06/3.28 | (428) all_0_127_127 = e23
% 12.06/3.28 | (429) all_0_135_135 = e23
% 12.06/3.28 | (430) ~ (all_0_133_133 = e20)
% 12.06/3.28 | (431) ~ (all_0_138_138 = e20)
% 12.06/3.28 |
% 12.06/3.28 | Combining equations (428,633) yields a new equation:
% 12.06/3.28 | (634) e23 = e20
% 12.06/3.28 |
% 12.06/3.28 | Simplifying 634 yields:
% 12.06/3.28 | (624) e23 = e20
% 12.06/3.28 |
% 12.06/3.28 | Combining equations (429,516) yields a new equation:
% 12.06/3.28 | (512) e23 = e22
% 12.06/3.28 |
% 12.06/3.28 | Simplifying 512 yields:
% 12.06/3.28 | (463) e23 = e22
% 12.06/3.28 |
% 12.06/3.28 | Combining equations (624,463) yields a new equation:
% 12.06/3.28 | (865) e22 = e20
% 12.06/3.28 |
% 12.06/3.28 | Equations (865) can reduce 116 to:
% 12.06/3.28 | (414) $false
% 12.06/3.28 |
% 12.06/3.28 |-The branch is then unsatisfiable
% 12.06/3.28 |-Branch two:
% 12.06/3.28 | (433) all_0_129_129 = e21 & all_0_132_132 = e21 & ~ (all_0_128_128 = e22) & ~ (all_0_138_138 = e22)
% 12.06/3.28 |
% 12.06/3.28 | Applying alpha-rule on (433) yields:
% 12.06/3.28 | (398) all_0_129_129 = e21
% 12.06/3.28 | (435) all_0_132_132 = e21
% 12.06/3.28 | (436) ~ (all_0_128_128 = e22)
% 12.06/3.28 | (437) ~ (all_0_138_138 = e22)
% 12.06/3.28 |
% 12.06/3.28 | Combining equations (398,417) yields a new equation:
% 12.06/3.28 | (419) e23 = e21
% 12.06/3.28 |
% 12.06/3.28 | Equations (419) can reduce 299 to:
% 12.06/3.28 | (414) $false
% 12.06/3.28 |
% 12.06/3.28 |-The branch is then unsatisfiable
% 12.06/3.28 |-Branch two:
% 12.06/3.28 | (458) all_0_130_130 = e22 & all_0_136_136 = e22 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)
% 12.06/3.28 |
% 12.06/3.28 | Applying alpha-rule on (458) yields:
% 12.06/3.28 | (459) all_0_130_130 = e22
% 12.06/3.28 | (447) all_0_136_136 = e22
% 12.06/3.28 | (430) ~ (all_0_133_133 = e20)
% 12.06/3.28 | (431) ~ (all_0_138_138 = e20)
% 12.06/3.28 |
% 12.06/3.28 | Equations (447) can reduce 518 to:
% 12.06/3.28 | (414) $false
% 12.06/3.28 |
% 12.06/3.28 |-The branch is then unsatisfiable
% 12.06/3.28 |-Branch two:
% 12.06/3.28 | (465) all_0_134_134 = e21 & all_0_137_137 = e21 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)
% 12.06/3.28 |
% 12.06/3.28 | Applying alpha-rule on (465) yields:
% 12.06/3.28 | (466) all_0_134_134 = e21
% 12.06/3.28 | (467) all_0_137_137 = e21
% 12.06/3.28 | (430) ~ (all_0_133_133 = e20)
% 12.06/3.28 | (431) ~ (all_0_138_138 = e20)
% 12.06/3.28 |
% 12.06/3.28 | Equations (466) can reduce 768 to:
% 12.06/3.28 | (346) ~ (e21 = e20)
% 12.06/3.28 |
% 12.06/3.28 +-Applying beta-rule and splitting (297), into two cases.
% 12.06/3.28 |-Branch one:
% 12.06/3.28 | (623) all_0_133_133 = e20
% 12.06/3.28 |
% 12.06/3.28 | Equations (623) can reduce 430 to:
% 12.06/3.28 | (414) $false
% 12.06/3.28 |
% 12.06/3.28 |-The branch is then unsatisfiable
% 12.06/3.28 |-Branch two:
% 12.06/3.28 | (430) ~ (all_0_133_133 = e20)
% 12.06/3.28 | (627) all_0_137_137 = e20
% 12.06/3.28 |
% 12.06/3.28 | Combining equations (627,467) yields a new equation:
% 12.06/3.28 | (656) e21 = e20
% 12.06/3.28 |
% 12.06/3.28 | Equations (656) can reduce 346 to:
% 12.06/3.28 | (414) $false
% 12.06/3.28 |
% 12.06/3.28 |-The branch is then unsatisfiable
% 12.06/3.28 |-Branch two:
% 12.06/3.28 | (562) ~ (all_0_131_131 = e23)
% 12.06/3.28 | (429) all_0_135_135 = e23
% 12.06/3.28 |
% 12.06/3.28 | Combining equations (516,429) yields a new equation:
% 12.06/3.28 | (463) e23 = e22
% 12.06/3.28 |
% 12.06/3.28 | Equations (463) can reduce 24 to:
% 12.06/3.28 | (414) $false
% 12.06/3.28 |
% 12.06/3.28 |-The branch is then unsatisfiable
% 12.06/3.28 |-Branch two:
% 12.06/3.28 | (471) ~ (all_0_126_126 = e23)
% 12.06/3.28 | (428) all_0_127_127 = e23
% 12.06/3.28 |
% 12.06/3.28 | Equations (428) can reduce 56 to:
% 12.06/3.28 | (471) ~ (all_0_126_126 = e23)
% 12.06/3.28 |
% 12.06/3.28 | Equations (428) can reduce 168 to:
% 12.06/3.28 | (474) ~ (all_0_130_130 = e23)
% 12.06/3.28 |
% 12.06/3.28 | Simplifying 474 yields:
% 12.06/3.28 | (475) ~ (all_0_130_130 = e23)
% 12.06/3.28 |
% 12.06/3.28 | Equations (428) can reduce 112 to:
% 12.06/3.28 | (793) ~ (all_0_138_138 = e23)
% 12.06/3.28 |
% 12.06/3.28 | Simplifying 793 yields:
% 12.06/3.28 | (794) ~ (all_0_138_138 = e23)
% 12.06/3.28 |
% 12.06/3.28 | Equations (428) can reduce 91 to:
% 12.06/3.28 | (24) ~ (e23 = e22)
% 12.06/3.28 |
% 12.06/3.28 +-Applying beta-rule and splitting (296), into two cases.
% 12.06/3.28 |-Branch one:
% 12.06/3.28 | (480) all_0_126_126 = e20
% 12.06/3.28 |
% 12.06/3.28 | Equations (480) can reduce 132 to:
% 12.06/3.28 | (982) ~ (all_0_128_128 = e20)
% 12.06/3.28 |
% 12.06/3.28 | Simplifying 982 yields:
% 12.06/3.28 | (142) ~ (all_0_128_128 = e20)
% 12.06/3.28 |
% 12.06/3.28 | Equations (480) can reduce 221 to:
% 12.06/3.28 | (481) ~ (all_0_132_132 = e20)
% 12.06/3.28 |
% 12.06/3.28 | Simplifying 481 yields:
% 12.06/3.28 | (482) ~ (all_0_132_132 = e20)
% 12.06/3.28 |
% 12.06/3.28 | Equations (480) can reduce 348 to:
% 12.06/3.28 | (668) ~ (e21 = e20)
% 12.06/3.28 |
% 12.06/3.28 | Simplifying 668 yields:
% 12.06/3.28 | (346) ~ (e21 = e20)
% 12.06/3.28 |
% 12.06/3.28 +-Applying beta-rule and splitting (72), into two cases.
% 12.06/3.28 |-Branch one:
% 12.06/3.28 | (429) all_0_135_135 = e23
% 12.06/3.28 |
% 12.06/3.28 | Equations (429) can reduce 368 to:
% 12.06/3.28 | (494) ~ (all_0_136_136 = e23)
% 12.06/3.28 |
% 12.06/3.28 | Simplifying 494 yields:
% 12.06/3.28 | (495) ~ (all_0_136_136 = e23)
% 12.06/3.28 |
% 12.06/3.28 | Equations (429) can reduce 361 to:
% 12.06/3.28 | (620) ~ (all_0_137_137 = e23)
% 12.06/3.28 |
% 12.06/3.28 | Simplifying 620 yields:
% 12.06/3.28 | (621) ~ (all_0_137_137 = e23)
% 12.06/3.28 |
% 12.06/3.28 | Equations (429) can reduce 107 to:
% 12.06/3.28 | (299) ~ (e23 = e21)
% 12.06/3.28 |
% 12.06/3.28 | Equations (429) can reduce 303 to:
% 12.06/3.28 | (285) ~ (e23 = e20)
% 12.06/3.28 |
% 12.06/3.28 | From (429) and (10) follows:
% 12.06/3.28 | (995) op2(e20, e23) = all_0_101_101
% 12.06/3.28 |
% 12.06/3.28 | From (429) and (181) follows:
% 12.06/3.28 | (996) op2(e20, e23) = e23
% 12.06/3.28 |
% 12.06/3.28 +-Applying beta-rule and splitting (257), into two cases.
% 12.06/3.28 |-Branch one:
% 12.06/3.28 | (511) all_0_131_131 = e22
% 12.06/3.28 |
% 12.06/3.28 | Equations (511) can reduce 146 to:
% 12.06/3.28 | (998) ~ (all_0_133_133 = e22)
% 12.06/3.28 |
% 12.06/3.28 | Simplifying 998 yields:
% 12.06/3.28 | (104) ~ (all_0_133_133 = e22)
% 12.06/3.28 |
% 12.06/3.28 | Equations (511) can reduce 155 to:
% 12.06/3.28 | (255) ~ (e22 = e21)
% 12.06/3.28 |
% 12.06/3.28 | From (511) and (215) follows:
% 12.06/3.28 | (1001) op2(e21, e22) = all_0_100_100
% 12.06/3.28 |
% 12.06/3.28 +-Applying beta-rule and splitting (253), into two cases.
% 12.06/3.28 |-Branch one:
% 12.06/3.28 | (408) all_0_126_126 = e23
% 12.06/3.28 |
% 12.06/3.28 | Combining equations (480,408) yields a new equation:
% 12.06/3.28 | (624) e23 = e20
% 12.06/3.28 |
% 12.06/3.28 | Equations (624) can reduce 285 to:
% 12.06/3.28 | (414) $false
% 12.06/3.28 |
% 12.06/3.28 |-The branch is then unsatisfiable
% 12.06/3.28 |-Branch two:
% 12.06/3.28 | (471) ~ (all_0_126_126 = e23)
% 12.06/3.28 | (1006) all_0_128_128 = e23 | all_0_132_132 = e23 | all_0_136_136 = e23
% 12.06/3.28 |
% 12.06/3.28 +-Applying beta-rule and splitting (1006), into two cases.
% 12.06/3.28 |-Branch one:
% 12.06/3.28 | (413) all_0_128_128 = e23
% 12.06/3.28 |
% 12.06/3.28 | Equations (413) can reduce 410 to:
% 12.06/3.28 | (414) $false
% 12.06/3.28 |
% 12.06/3.28 |-The branch is then unsatisfiable
% 12.06/3.28 |-Branch two:
% 12.06/3.28 | (410) ~ (all_0_128_128 = e23)
% 12.06/3.28 | (1010) all_0_132_132 = e23 | all_0_136_136 = e23
% 12.06/3.28 |
% 12.06/3.28 +-Applying beta-rule and splitting (1010), into two cases.
% 12.06/3.28 |-Branch one:
% 12.06/3.28 | (604) all_0_132_132 = e23
% 12.06/3.28 |
% 12.06/3.28 | Equations (604) can reduce 250 to:
% 12.06/3.28 | (410) ~ (all_0_128_128 = e23)
% 12.06/3.28 |
% 12.06/3.28 | Equations (604) can reduce 482 to:
% 12.06/3.28 | (285) ~ (e23 = e20)
% 12.06/3.28 |
% 12.06/3.28 | From (604) and (85) follows:
% 12.06/3.28 | (1014) op2(e21, e22) = e23
% 12.06/3.28 |
% 12.06/3.28 | Instantiating formula (378) with e21, e22, e23, all_0_100_100 and discharging atoms op2(e21, e22) = all_0_100_100, op2(e21, e22) = e23, yields:
% 12.06/3.28 | (1015) all_0_100_100 = e23
% 12.06/3.28 |
% 12.06/3.28 | Instantiating formula (378) with e20, e23, e23, all_0_101_101 and discharging atoms op2(e20, e23) = all_0_101_101, op2(e20, e23) = e23, yields:
% 12.06/3.28 | (1016) all_0_101_101 = e23
% 12.06/3.28 |
% 12.06/3.28 +-Applying beta-rule and splitting (49), into two cases.
% 12.06/3.28 |-Branch one:
% 12.06/3.28 | (1017) all_0_100_100 = e21
% 12.06/3.28 |
% 12.06/3.28 | Combining equations (1015,1017) yields a new equation:
% 12.06/3.28 | (418) e23 = e21
% 12.06/3.28 |
% 12.06/3.28 | Simplifying 418 yields:
% 12.06/3.28 | (419) e23 = e21
% 12.06/3.28 |
% 12.06/3.28 | Equations (419) can reduce 299 to:
% 12.06/3.28 | (414) $false
% 12.06/3.28 |
% 12.06/3.28 |-The branch is then unsatisfiable
% 12.06/3.28 |-Branch two:
% 12.06/3.28 | (1021) ~ (all_0_100_100 = e21)
% 12.06/3.28 | (1022) all_0_101_101 = e20 | all_0_130_130 = e22
% 12.06/3.28 |
% 12.06/3.28 | Equations (1015) can reduce 1021 to:
% 12.06/3.28 | (299) ~ (e23 = e21)
% 12.06/3.28 |
% 12.06/3.28 +-Applying beta-rule and splitting (1022), into two cases.
% 12.06/3.28 |-Branch one:
% 12.06/3.28 | (1024) all_0_101_101 = e20
% 12.06/3.28 |
% 12.06/3.28 | Combining equations (1016,1024) yields a new equation:
% 12.06/3.28 | (634) e23 = e20
% 12.06/3.28 |
% 12.06/3.28 | Simplifying 634 yields:
% 12.06/3.28 | (624) e23 = e20
% 12.06/3.28 |
% 12.06/3.28 | Equations (624) can reduce 285 to:
% 12.06/3.28 | (414) $false
% 12.06/3.28 |
% 12.06/3.28 |-The branch is then unsatisfiable
% 12.06/3.28 |-Branch two:
% 12.06/3.28 | (1028) ~ (all_0_101_101 = e20)
% 12.06/3.28 | (459) all_0_130_130 = e22
% 12.06/3.28 |
% 12.06/3.28 | Equations (459) can reduce 229 to:
% 12.06/3.28 | (436) ~ (all_0_128_128 = e22)
% 12.06/3.28 |
% 12.06/3.28 | Equations (459) can reduce 475 to:
% 12.06/3.28 | (502) ~ (e23 = e22)
% 12.06/3.28 |
% 12.06/3.28 | Simplifying 502 yields:
% 12.06/3.28 | (24) ~ (e23 = e22)
% 12.06/3.28 |
% 12.06/3.28 +-Applying beta-rule and splitting (206), into two cases.
% 12.06/3.28 |-Branch one:
% 12.06/3.28 | (439) all_0_128_128 = e22
% 12.06/3.28 |
% 12.06/3.28 | Equations (439) can reduce 436 to:
% 12.06/3.28 | (414) $false
% 12.06/3.28 |
% 12.06/3.28 |-The branch is then unsatisfiable
% 12.06/3.28 |-Branch two:
% 12.06/3.28 | (436) ~ (all_0_128_128 = e22)
% 12.06/3.28 | (442) all_0_132_132 = e22 | all_0_136_136 = e22
% 12.06/3.28 |
% 12.06/3.28 +-Applying beta-rule and splitting (75), into two cases.
% 12.06/3.28 |-Branch one:
% 12.06/3.28 | (516) all_0_135_135 = e22
% 12.06/3.28 |
% 12.06/3.28 | Combining equations (516,429) yields a new equation:
% 12.06/3.28 | (463) e23 = e22
% 12.06/3.28 |
% 12.06/3.28 | Equations (463) can reduce 24 to:
% 12.06/3.28 | (414) $false
% 12.06/3.28 |
% 12.06/3.28 |-The branch is then unsatisfiable
% 12.06/3.28 |-Branch two:
% 12.06/3.28 | (1040) ~ (all_0_135_135 = e22)
% 12.06/3.28 | (1041) all_0_136_136 = e22 | all_0_138_138 = e22
% 12.06/3.28 |
% 12.06/3.28 | Equations (429) can reduce 1040 to:
% 12.06/3.28 | (24) ~ (e23 = e22)
% 12.06/3.28 |
% 12.06/3.28 +-Applying beta-rule and splitting (442), into two cases.
% 12.06/3.28 |-Branch one:
% 12.06/3.29 | (443) all_0_132_132 = e22
% 12.06/3.29 |
% 12.06/3.29 | Combining equations (604,443) yields a new equation:
% 12.06/3.29 | (512) e23 = e22
% 12.06/3.29 |
% 12.06/3.29 | Simplifying 512 yields:
% 12.06/3.29 | (463) e23 = e22
% 12.06/3.29 |
% 12.06/3.29 | Equations (463) can reduce 24 to:
% 12.06/3.29 | (414) $false
% 12.06/3.29 |
% 12.06/3.29 |-The branch is then unsatisfiable
% 12.06/3.29 |-Branch two:
% 12.06/3.29 | (446) ~ (all_0_132_132 = e22)
% 12.06/3.29 | (447) all_0_136_136 = e22
% 12.06/3.29 |
% 12.06/3.29 | Equations (447) can reduce 119 to:
% 12.06/3.29 | (436) ~ (all_0_128_128 = e22)
% 12.06/3.29 |
% 12.06/3.29 +-Applying beta-rule and splitting (20), into two cases.
% 12.06/3.29 |-Branch one:
% 12.06/3.29 | (449) all_0_128_128 = e21
% 12.06/3.29 |
% 12.06/3.29 | Equations (449) can reduce 410 to:
% 12.06/3.29 | (579) ~ (e23 = e21)
% 12.06/3.29 |
% 12.06/3.29 | Simplifying 579 yields:
% 12.06/3.29 | (299) ~ (e23 = e21)
% 12.06/3.29 |
% 12.06/3.29 | Equations (449) can reduce 436 to:
% 12.06/3.29 | (403) ~ (e22 = e21)
% 12.06/3.29 |
% 12.06/3.29 | Simplifying 403 yields:
% 12.06/3.29 | (255) ~ (e22 = e21)
% 12.06/3.29 |
% 12.06/3.29 | Equations (449) can reduce 142 to:
% 12.06/3.29 | (346) ~ (e21 = e20)
% 12.06/3.29 |
% 12.06/3.29 +-Applying beta-rule and splitting (297), into two cases.
% 12.06/3.29 |-Branch one:
% 12.06/3.29 | (623) all_0_133_133 = e20
% 12.06/3.29 |
% 12.06/3.29 | Equations (623) can reduce 90 to:
% 12.06/3.29 | (1057) ~ (all_0_137_137 = e20)
% 12.06/3.29 |
% 12.06/3.29 | Simplifying 1057 yields:
% 12.06/3.29 | (1058) ~ (all_0_137_137 = e20)
% 12.06/3.29 |
% 12.06/3.29 | Equations (623) can reduce 104 to:
% 12.06/3.29 | (847) ~ (e22 = e20)
% 12.06/3.29 |
% 12.06/3.29 | Simplifying 847 yields:
% 12.06/3.29 | (116) ~ (e22 = e20)
% 12.06/3.29 |
% 12.06/3.29 +-Applying beta-rule and splitting (307), into two cases.
% 12.06/3.29 |-Branch one:
% 12.06/3.29 | (541) all_0_136_136 = e20
% 12.06/3.29 |
% 12.06/3.29 | Combining equations (447,541) yields a new equation:
% 12.06/3.29 | (864) e22 = e20
% 12.06/3.29 |
% 12.06/3.29 | Simplifying 864 yields:
% 12.06/3.29 | (865) e22 = e20
% 12.06/3.29 |
% 12.06/3.29 | Equations (865) can reduce 116 to:
% 12.06/3.29 | (414) $false
% 12.06/3.29 |
% 12.06/3.29 |-The branch is then unsatisfiable
% 12.06/3.29 |-Branch two:
% 12.06/3.29 | (484) ~ (all_0_136_136 = e20)
% 12.06/3.29 | (1066) all_0_137_137 = e20 | all_0_138_138 = e20
% 12.06/3.29 |
% 12.06/3.29 +-Applying beta-rule and splitting (1066), into two cases.
% 12.06/3.29 |-Branch one:
% 12.06/3.29 | (627) all_0_137_137 = e20
% 12.06/3.29 |
% 12.06/3.29 | Equations (627) can reduce 1058 to:
% 12.06/3.29 | (414) $false
% 12.06/3.29 |
% 12.06/3.29 |-The branch is then unsatisfiable
% 12.06/3.29 |-Branch two:
% 12.06/3.29 | (1058) ~ (all_0_137_137 = e20)
% 12.06/3.29 | (894) all_0_138_138 = e20
% 12.06/3.29 |
% 12.06/3.29 | Equations (894) can reduce 52 to:
% 12.06/3.29 | (768) ~ (all_0_134_134 = e20)
% 12.06/3.29 |
% 12.06/3.29 +-Applying beta-rule and splitting (177), into two cases.
% 12.06/3.29 |-Branch one:
% 12.06/3.29 | (398) all_0_129_129 = e21
% 12.06/3.29 |
% 12.06/3.29 | Combining equations (417,398) yields a new equation:
% 12.06/3.29 | (418) e23 = e21
% 12.06/3.29 |
% 12.06/3.29 | Simplifying 418 yields:
% 12.06/3.29 | (419) e23 = e21
% 12.06/3.29 |
% 12.06/3.29 | Equations (419) can reduce 299 to:
% 12.06/3.29 | (414) $false
% 12.06/3.29 |
% 12.06/3.29 |-The branch is then unsatisfiable
% 12.06/3.29 |-Branch two:
% 12.06/3.29 | (745) ~ (all_0_129_129 = e21)
% 12.06/3.29 | (1077) all_0_133_133 = e21 | all_0_137_137 = e21
% 12.06/3.29 |
% 12.06/3.29 | Equations (417) can reduce 745 to:
% 12.06/3.29 | (299) ~ (e23 = e21)
% 12.06/3.29 |
% 12.06/3.29 +-Applying beta-rule and splitting (102), into two cases.
% 12.06/3.29 |-Branch one:
% 12.06/3.29 | (435) all_0_132_132 = e21
% 12.06/3.29 |
% 12.06/3.29 | Combining equations (604,435) yields a new equation:
% 12.06/3.29 | (418) e23 = e21
% 12.06/3.29 |
% 12.06/3.29 | Simplifying 418 yields:
% 12.06/3.29 | (419) e23 = e21
% 12.06/3.29 |
% 12.06/3.29 | Equations (419) can reduce 299 to:
% 12.06/3.29 | (414) $false
% 12.06/3.29 |
% 12.06/3.29 |-The branch is then unsatisfiable
% 12.06/3.29 |-Branch two:
% 12.06/3.29 | (696) ~ (all_0_132_132 = e21)
% 12.06/3.29 | (1084) all_0_133_133 = e21 | all_0_134_134 = e21
% 12.06/3.29 |
% 12.06/3.29 +-Applying beta-rule and splitting (159), into two cases.
% 12.06/3.29 |-Branch one:
% 12.06/3.29 | (466) all_0_134_134 = e21
% 12.06/3.29 |
% 12.06/3.29 | Equations (466) can reduce 768 to:
% 12.06/3.29 | (346) ~ (e21 = e20)
% 12.06/3.29 |
% 12.06/3.29 +-Applying beta-rule and splitting (1077), into two cases.
% 12.06/3.29 |-Branch one:
% 12.06/3.29 | (838) all_0_133_133 = e21
% 12.06/3.29 |
% 12.06/3.29 | Combining equations (623,838) yields a new equation:
% 12.06/3.29 | (656) e21 = e20
% 12.06/3.29 |
% 12.06/3.29 | Equations (656) can reduce 346 to:
% 12.06/3.29 | (414) $false
% 12.06/3.29 |
% 12.06/3.29 |-The branch is then unsatisfiable
% 12.06/3.29 |-Branch two:
% 12.06/3.29 | (885) ~ (all_0_133_133 = e21)
% 12.06/3.29 | (467) all_0_137_137 = e21
% 12.06/3.29 |
% 12.06/3.29 | Equations (467) can reduce 621 to:
% 12.06/3.29 | (579) ~ (e23 = e21)
% 12.06/3.29 |
% 12.06/3.29 | Simplifying 579 yields:
% 12.06/3.29 | (299) ~ (e23 = e21)
% 12.06/3.29 |
% 12.06/3.29 +-Applying beta-rule and splitting (48), into two cases.
% 12.06/3.29 |-Branch one:
% 12.06/3.29 | (425) (all_0_127_127 = e23 & all_0_135_135 = e23 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)) | (all_0_129_129 = e21 & all_0_132_132 = e21 & ~ (all_0_128_128 = e22) & ~ (all_0_138_138 = e22)) | (all_0_130_130 = e22 & all_0_136_136 = e22 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20))
% 12.06/3.29 |
% 12.06/3.29 +-Applying beta-rule and splitting (425), into two cases.
% 12.06/3.29 |-Branch one:
% 12.06/3.29 | (426) (all_0_127_127 = e23 & all_0_135_135 = e23 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)) | (all_0_129_129 = e21 & all_0_132_132 = e21 & ~ (all_0_128_128 = e22) & ~ (all_0_138_138 = e22))
% 12.06/3.29 |
% 12.06/3.29 +-Applying beta-rule and splitting (426), into two cases.
% 12.06/3.29 |-Branch one:
% 12.06/3.29 | (427) all_0_127_127 = e23 & all_0_135_135 = e23 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)
% 12.06/3.29 |
% 12.06/3.29 | Applying alpha-rule on (427) yields:
% 12.06/3.29 | (428) all_0_127_127 = e23
% 12.06/3.29 | (429) all_0_135_135 = e23
% 12.06/3.29 | (430) ~ (all_0_133_133 = e20)
% 12.06/3.29 | (431) ~ (all_0_138_138 = e20)
% 12.06/3.29 |
% 12.06/3.29 | Equations (894) can reduce 431 to:
% 12.06/3.29 | (414) $false
% 12.06/3.29 |
% 12.06/3.29 |-The branch is then unsatisfiable
% 12.06/3.29 |-Branch two:
% 12.06/3.29 | (433) all_0_129_129 = e21 & all_0_132_132 = e21 & ~ (all_0_128_128 = e22) & ~ (all_0_138_138 = e22)
% 12.06/3.29 |
% 12.06/3.29 | Applying alpha-rule on (433) yields:
% 12.06/3.29 | (398) all_0_129_129 = e21
% 12.06/3.29 | (435) all_0_132_132 = e21
% 12.06/3.29 | (436) ~ (all_0_128_128 = e22)
% 12.06/3.29 | (437) ~ (all_0_138_138 = e22)
% 12.06/3.29 |
% 12.06/3.29 | Combining equations (604,435) yields a new equation:
% 12.06/3.29 | (418) e23 = e21
% 12.06/3.29 |
% 12.06/3.29 | Simplifying 418 yields:
% 12.06/3.29 | (419) e23 = e21
% 12.06/3.29 |
% 12.06/3.29 | Equations (419) can reduce 299 to:
% 12.06/3.29 | (414) $false
% 12.06/3.29 |
% 12.06/3.29 |-The branch is then unsatisfiable
% 12.06/3.29 |-Branch two:
% 12.06/3.29 | (458) all_0_130_130 = e22 & all_0_136_136 = e22 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)
% 12.06/3.29 |
% 12.06/3.29 | Applying alpha-rule on (458) yields:
% 12.06/3.29 | (459) all_0_130_130 = e22
% 12.06/3.29 | (447) all_0_136_136 = e22
% 12.06/3.29 | (430) ~ (all_0_133_133 = e20)
% 12.06/3.29 | (431) ~ (all_0_138_138 = e20)
% 12.06/3.29 |
% 12.06/3.29 | Equations (894) can reduce 431 to:
% 12.06/3.29 | (414) $false
% 12.06/3.29 |
% 12.06/3.29 |-The branch is then unsatisfiable
% 12.06/3.29 |-Branch two:
% 12.06/3.29 | (465) all_0_134_134 = e21 & all_0_137_137 = e21 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)
% 12.06/3.29 |
% 12.06/3.29 | Applying alpha-rule on (465) yields:
% 12.06/3.29 | (466) all_0_134_134 = e21
% 12.06/3.29 | (467) all_0_137_137 = e21
% 12.06/3.29 | (430) ~ (all_0_133_133 = e20)
% 12.06/3.29 | (431) ~ (all_0_138_138 = e20)
% 12.06/3.29 |
% 12.06/3.29 | Equations (894) can reduce 431 to:
% 12.06/3.29 | (414) $false
% 12.06/3.29 |
% 12.06/3.29 |-The branch is then unsatisfiable
% 12.06/3.29 |-Branch two:
% 12.06/3.29 | (576) ~ (all_0_134_134 = e21)
% 12.06/3.29 | (1123) all_0_134_134 = e23 | all_0_134_134 = e22 | all_0_134_134 = e20
% 12.06/3.29 |
% 12.06/3.29 +-Applying beta-rule and splitting (1084), into two cases.
% 12.06/3.29 |-Branch one:
% 12.06/3.29 | (838) all_0_133_133 = e21
% 12.06/3.29 |
% 12.06/3.29 | Combining equations (623,838) yields a new equation:
% 12.06/3.29 | (656) e21 = e20
% 12.06/3.29 |
% 12.06/3.29 | Equations (656) can reduce 346 to:
% 12.06/3.29 | (414) $false
% 12.06/3.29 |
% 12.06/3.29 |-The branch is then unsatisfiable
% 12.06/3.29 |-Branch two:
% 12.06/3.29 | (885) ~ (all_0_133_133 = e21)
% 12.06/3.29 | (466) all_0_134_134 = e21
% 12.06/3.29 |
% 12.06/3.29 | Equations (466) can reduce 576 to:
% 12.06/3.29 | (414) $false
% 12.06/3.29 |
% 12.06/3.29 |-The branch is then unsatisfiable
% 12.06/3.29 |-Branch two:
% 12.06/3.29 | (430) ~ (all_0_133_133 = e20)
% 12.06/3.29 | (627) all_0_137_137 = e20
% 12.06/3.29 |
% 12.06/3.29 | Equations (627) can reduce 120 to:
% 12.06/3.29 | (628) ~ (all_0_138_138 = e20)
% 12.06/3.29 |
% 12.06/3.29 | Simplifying 628 yields:
% 12.06/3.29 | (431) ~ (all_0_138_138 = e20)
% 12.06/3.29 |
% 12.06/3.29 | Equations (627) can reduce 621 to:
% 12.06/3.29 | (630) ~ (e23 = e20)
% 12.06/3.29 |
% 12.06/3.29 | Simplifying 630 yields:
% 12.06/3.29 | (285) ~ (e23 = e20)
% 12.06/3.29 |
% 12.06/3.29 +-Applying beta-rule and splitting (177), into two cases.
% 12.06/3.29 |-Branch one:
% 12.06/3.29 | (398) all_0_129_129 = e21
% 12.06/3.29 |
% 12.06/3.29 | Combining equations (417,398) yields a new equation:
% 12.06/3.29 | (418) e23 = e21
% 12.06/3.29 |
% 12.06/3.29 | Simplifying 418 yields:
% 12.06/3.29 | (419) e23 = e21
% 12.06/3.29 |
% 12.06/3.29 | Equations (419) can reduce 299 to:
% 12.06/3.29 | (414) $false
% 12.06/3.29 |
% 12.06/3.29 |-The branch is then unsatisfiable
% 12.06/3.29 |-Branch two:
% 12.06/3.29 | (745) ~ (all_0_129_129 = e21)
% 12.06/3.29 | (1077) all_0_133_133 = e21 | all_0_137_137 = e21
% 12.06/3.29 |
% 12.06/3.29 | Equations (417) can reduce 745 to:
% 12.06/3.29 | (299) ~ (e23 = e21)
% 12.06/3.29 |
% 12.06/3.29 +-Applying beta-rule and splitting (291), into two cases.
% 12.06/3.29 |-Branch one:
% 12.06/3.29 | (633) all_0_127_127 = e20
% 12.06/3.29 |
% 12.06/3.29 | Combining equations (428,633) yields a new equation:
% 12.06/3.29 | (634) e23 = e20
% 12.06/3.29 |
% 12.06/3.29 | Simplifying 634 yields:
% 12.06/3.29 | (624) e23 = e20
% 12.06/3.29 |
% 12.06/3.29 | Equations (624) can reduce 285 to:
% 12.06/3.29 | (414) $false
% 12.06/3.29 |
% 12.06/3.29 |-The branch is then unsatisfiable
% 12.06/3.29 |-Branch two:
% 12.06/3.29 | (637) ~ (all_0_127_127 = e20)
% 12.06/3.29 | (638) all_0_134_134 = e20 | all_0_138_138 = e20
% 12.06/3.29 |
% 12.06/3.29 +-Applying beta-rule and splitting (225), into two cases.
% 12.06/3.29 |-Branch one:
% 12.06/3.29 | (838) all_0_133_133 = e21
% 12.06/3.29 |
% 12.06/3.29 | Equations (838) can reduce 326 to:
% 12.06/3.29 | (575) ~ (all_0_134_134 = e21)
% 12.06/3.29 |
% 12.06/3.29 | Simplifying 575 yields:
% 12.06/3.29 | (576) ~ (all_0_134_134 = e21)
% 12.06/3.29 |
% 12.06/3.29 | Equations (838) can reduce 104 to:
% 12.06/3.29 | (403) ~ (e22 = e21)
% 12.06/3.29 |
% 12.06/3.29 | Simplifying 403 yields:
% 12.06/3.29 | (255) ~ (e22 = e21)
% 12.06/3.29 |
% 12.06/3.29 +-Applying beta-rule and splitting (638), into two cases.
% 12.06/3.29 |-Branch one:
% 12.06/3.29 | (665) all_0_134_134 = e20
% 12.06/3.29 |
% 12.06/3.29 | Equations (665) can reduce 576 to:
% 12.06/3.29 | (668) ~ (e21 = e20)
% 12.06/3.29 |
% 12.06/3.29 | Simplifying 668 yields:
% 12.06/3.29 | (346) ~ (e21 = e20)
% 12.06/3.29 |
% 12.06/3.29 +-Applying beta-rule and splitting (74), into two cases.
% 12.06/3.29 |-Branch one:
% 12.06/3.29 | (485) all_0_130_130 = e21
% 12.06/3.29 |
% 12.06/3.29 | Combining equations (459,485) yields a new equation:
% 12.06/3.29 | (611) e22 = e21
% 12.06/3.29 |
% 12.06/3.29 | Simplifying 611 yields:
% 12.06/3.29 | (444) e22 = e21
% 12.06/3.29 |
% 12.06/3.29 | Equations (444) can reduce 255 to:
% 12.06/3.29 | (414) $false
% 12.06/3.29 |
% 12.06/3.29 |-The branch is then unsatisfiable
% 12.06/3.29 |-Branch two:
% 12.06/3.29 | (400) ~ (all_0_130_130 = e21)
% 12.06/3.29 | (644) all_0_134_134 = e21 | all_0_138_138 = e21
% 12.06/3.29 |
% 12.06/3.29 +-Applying beta-rule and splitting (271), into two cases.
% 12.06/3.29 |-Branch one:
% 12.06/3.29 | (648) all_0_138_138 = e21
% 12.06/3.29 |
% 12.06/3.29 +-Applying beta-rule and splitting (148), into two cases.
% 12.06/3.29 |-Branch one:
% 12.06/3.29 | (1164) all_0_139_139 = e10
% 12.06/3.29 |
% 12.06/3.29 | Equations (1164) can reduce 385 to:
% 12.06/3.29 | (1165) ~ (all_0_140_140 = e10)
% 12.06/3.29 |
% 12.06/3.29 | Simplifying 1165 yields:
% 12.06/3.29 | (1166) ~ (all_0_140_140 = e10)
% 12.06/3.29 |
% 12.06/3.29 | Equations (1164) can reduce 69 to:
% 12.06/3.29 | (1167) ~ (all_0_141_141 = e10)
% 12.06/3.29 |
% 12.06/3.29 | Simplifying 1167 yields:
% 12.06/3.29 | (382) ~ (all_0_141_141 = e10)
% 12.06/3.29 |
% 12.06/3.29 | Equations (1164) can reduce 207 to:
% 12.06/3.29 | (1169) ~ (all_0_145_145 = e10)
% 12.06/3.29 |
% 12.06/3.29 | Simplifying 1169 yields:
% 12.06/3.29 | (1170) ~ (all_0_145_145 = e10)
% 12.06/3.29 |
% 12.06/3.29 | Equations (1164) can reduce 238 to:
% 12.06/3.29 | (1171) ~ (all_0_149_149 = e10)
% 12.06/3.29 |
% 12.06/3.29 | Simplifying 1171 yields:
% 12.06/3.29 | (1172) ~ (all_0_149_149 = e10)
% 12.06/3.29 |
% 12.06/3.29 | Equations (1164) can reduce 237 to:
% 12.06/3.29 | (1173) ~ (e11 = e10)
% 12.06/3.29 |
% 12.06/3.29 | Simplifying 1173 yields:
% 12.06/3.29 | (316) ~ (e11 = e10)
% 12.06/3.29 |
% 12.06/3.29 | From (1164) and (164) follows:
% 12.06/3.29 | (1175) h4(e10) = all_0_0_0
% 12.06/3.29 |
% 12.06/3.29 +-Applying beta-rule and splitting (179), into two cases.
% 12.06/3.29 |-Branch one:
% 12.06/3.29 | (1176) all_0_140_140 = e13
% 12.06/3.29 |
% 12.06/3.29 | Equations (1176) can reduce 279 to:
% 12.06/3.29 | (1177) ~ (all_0_143_143 = e13)
% 12.06/3.29 |
% 12.06/3.29 | Simplifying 1177 yields:
% 12.06/3.29 | (1178) ~ (all_0_143_143 = e13)
% 12.06/3.29 |
% 12.06/3.29 | Equations (1176) can reduce 383 to:
% 12.06/3.29 | (1179) ~ (all_0_147_147 = e13)
% 12.06/3.29 |
% 12.06/3.29 | Simplifying 1179 yields:
% 12.06/3.29 | (1180) ~ (all_0_147_147 = e13)
% 12.06/3.29 |
% 12.06/3.29 | From (1176) and (5) follows:
% 12.06/3.29 | (1181) h4(e13) = all_0_1_1
% 12.06/3.30 |
% 12.06/3.30 | Instantiating formula (166) with e13, all_0_1_1, e23 and discharging atoms h4(e13) = all_0_1_1, h4(e13) = e23, yields:
% 12.06/3.30 | (1182) all_0_1_1 = e23
% 12.06/3.30 |
% 12.06/3.30 | Instantiating formula (166) with e10, all_0_0_0, e20 and discharging atoms h4(e10) = all_0_0_0, h4(e10) = e20, yields:
% 12.06/3.30 | (1183) all_0_0_0 = e20
% 12.06/3.30 |
% 12.06/3.30 | From (1182) and (1181) follows:
% 12.06/3.30 | (247) h4(e13) = e23
% 12.06/3.30 |
% 12.06/3.30 | From (1183) and (1175) follows:
% 12.06/3.30 | (261) h4(e10) = e20
% 12.06/3.30 |
% 12.06/3.30 +-Applying beta-rule and splitting (331), into two cases.
% 12.06/3.30 |-Branch one:
% 12.06/3.30 | (1186) all_0_144_144 = e12
% 12.06/3.30 |
% 12.06/3.30 | Equations (1186) can reduce 180 to:
% 12.06/3.30 | (1187) ~ (all_0_145_145 = e12)
% 12.06/3.30 |
% 12.06/3.30 | Simplifying 1187 yields:
% 12.06/3.30 | (1188) ~ (all_0_145_145 = e12)
% 12.06/3.30 |
% 12.06/3.30 | Equations (1186) can reduce 54 to:
% 12.06/3.30 | (1189) ~ (all_0_148_148 = e12)
% 12.06/3.30 |
% 12.06/3.30 | Simplifying 1189 yields:
% 12.06/3.30 | (1190) ~ (all_0_148_148 = e12)
% 12.06/3.30 |
% 12.06/3.30 | Equations (1186) can reduce 289 to:
% 12.06/3.30 | (333) ~ (e12 = e11)
% 12.06/3.30 |
% 12.06/3.30 | From (1186) and (149) follows:
% 12.06/3.30 | (1192) op1(e11, e12) = all_0_113_113
% 12.06/3.30 |
% 12.06/3.30 | From (1186) and (281) follows:
% 12.06/3.30 | (1193) op1(e11, e13) = e12
% 12.06/3.30 |
% 12.06/3.30 | From (1186) and (254) follows:
% 12.06/3.30 | (1194) h4(e12) = all_0_5_5
% 12.06/3.30 |
% 12.06/3.30 +-Applying beta-rule and splitting (314), into two cases.
% 12.06/3.30 |-Branch one:
% 12.06/3.30 | (1195) all_0_148_148 = e13
% 12.06/3.30 |
% 12.06/3.30 | Equations (1195) can reduce 365 to:
% 12.06/3.30 | (1196) ~ (all_0_150_150 = e13)
% 12.06/3.30 |
% 12.06/3.30 | Simplifying 1196 yields:
% 12.06/3.30 | (1197) ~ (all_0_150_150 = e13)
% 12.06/3.30 |
% 12.06/3.30 | Equations (1195) can reduce 387 to:
% 12.06/3.30 | (1198) ~ (all_0_151_151 = e13)
% 12.06/3.30 |
% 12.06/3.30 | Simplifying 1198 yields:
% 12.06/3.30 | (1199) ~ (all_0_151_151 = e13)
% 12.06/3.30 |
% 12.06/3.30 | Equations (1195) can reduce 236 to:
% 12.06/3.30 | (375) ~ (e13 = e11)
% 12.06/3.30 |
% 12.06/3.30 | From (1195) and (185) follows:
% 12.06/3.30 | (1201) op1(e10, e13) = all_0_114_114
% 12.06/3.30 |
% 12.06/3.30 | From (1195) and (169) follows:
% 12.06/3.30 | (1202) op1(e10, e13) = e13
% 12.06/3.30 |
% 12.06/3.30 | From (1195) and (358) follows:
% 12.06/3.30 | (1203) h4(e13) = all_0_9_9
% 12.06/3.30 |
% 12.06/3.30 | Instantiating formula (270) with e11, e12, all_0_113_113, all_0_145_145 and discharging atoms op1(e11, e12) = all_0_113_113, op1(e11, e12) = all_0_145_145, yields:
% 12.06/3.30 | (1204) all_0_113_113 = all_0_145_145
% 12.06/3.30 |
% 12.06/3.30 | Instantiating formula (270) with e10, e13, e13, all_0_114_114 and discharging atoms op1(e10, e13) = all_0_114_114, op1(e10, e13) = e13, yields:
% 12.06/3.30 | (1205) all_0_114_114 = e13
% 12.06/3.30 |
% 12.06/3.30 | Instantiating formula (166) with e13, all_0_9_9, e23 and discharging atoms h4(e13) = all_0_9_9, h4(e13) = e23, yields:
% 12.06/3.30 | (1206) all_0_9_9 = e23
% 12.06/3.30 |
% 12.06/3.30 | Instantiating formula (166) with e12, all_0_5_5, e22 and discharging atoms h4(e12) = all_0_5_5, h4(e12) = e22, yields:
% 12.06/3.30 | (1207) all_0_5_5 = e22
% 12.06/3.30 |
% 12.06/3.30 | From (1206) and (1203) follows:
% 12.06/3.30 | (247) h4(e13) = e23
% 12.06/3.30 |
% 12.06/3.30 | From (1207) and (1194) follows:
% 12.06/3.30 | (28) h4(e12) = e22
% 12.06/3.30 |
% 12.06/3.30 +-Applying beta-rule and splitting (158), into two cases.
% 12.06/3.30 |-Branch one:
% 12.06/3.30 | (1210) all_0_142_142 = e13
% 12.06/3.30 |
% 12.06/3.30 | Equations (1210) can reduce 355 to:
% 12.06/3.30 | (1177) ~ (all_0_143_143 = e13)
% 12.06/3.30 |
% 12.06/3.30 | Simplifying 1177 yields:
% 12.06/3.30 | (1178) ~ (all_0_143_143 = e13)
% 12.06/3.30 |
% 12.06/3.30 | Equations (1210) can reduce 95 to:
% 12.06/3.30 | (1213) ~ (all_0_146_146 = e13)
% 12.06/3.30 |
% 12.06/3.30 | Simplifying 1213 yields:
% 12.06/3.30 | (1214) ~ (all_0_146_146 = e13)
% 12.06/3.30 |
% 12.06/3.30 | Equations (1210) can reduce 7 to:
% 12.06/3.30 | (1196) ~ (all_0_150_150 = e13)
% 12.06/3.30 |
% 12.06/3.30 | Simplifying 1196 yields:
% 12.06/3.30 | (1197) ~ (all_0_150_150 = e13)
% 12.06/3.30 |
% 12.06/3.30 | Equations (1210) can reduce 6 to:
% 12.06/3.30 | (310) ~ (e13 = e12)
% 12.06/3.30 |
% 12.06/3.30 | From (1210) and (96) follows:
% 12.06/3.30 | (1218) h4(e13) = all_0_3_3
% 12.06/3.30 |
% 12.06/3.30 +-Applying beta-rule and splitting (362), into two cases.
% 12.06/3.30 |-Branch one:
% 12.06/3.30 | (1219) all_0_144_144 = e13
% 12.06/3.30 |
% 12.06/3.30 | Combining equations (1186,1219) yields a new equation:
% 12.06/3.30 | (1220) e13 = e12
% 12.06/3.30 |
% 12.06/3.30 | Equations (1220) can reduce 310 to:
% 12.06/3.30 | (414) $false
% 12.06/3.30 |
% 12.06/3.30 |-The branch is then unsatisfiable
% 12.06/3.30 |-Branch two:
% 12.06/3.30 | (1222) ~ (all_0_144_144 = e13)
% 12.06/3.30 | (1223) all_0_145_145 = e13 | all_0_146_146 = e13 | all_0_147_147 = e13
% 12.06/3.30 |
% 12.06/3.30 +-Applying beta-rule and splitting (1223), into two cases.
% 12.06/3.30 |-Branch one:
% 12.06/3.30 | (1224) all_0_145_145 = e13
% 12.06/3.30 |
% 12.06/3.30 | Combining equations (1224,1204) yields a new equation:
% 12.06/3.30 | (1225) all_0_113_113 = e13
% 12.06/3.30 |
% 12.06/3.30 | Equations (1224) can reduce 224 to:
% 12.06/3.30 | (1226) ~ (all_0_141_141 = e13)
% 12.06/3.30 |
% 12.06/3.30 | Equations (1224) can reduce 136 to:
% 12.06/3.30 | (1213) ~ (all_0_146_146 = e13)
% 12.06/3.30 |
% 12.06/3.30 | Simplifying 1213 yields:
% 12.06/3.30 | (1214) ~ (all_0_146_146 = e13)
% 12.06/3.30 |
% 12.06/3.30 | Equations (1224) can reduce 1170 to:
% 12.06/3.30 | (190) ~ (e13 = e10)
% 12.06/3.30 |
% 12.06/3.30 | From (1224) and (145) follows:
% 12.06/3.30 | (1230) h4(e13) = all_0_6_6
% 12.06/3.30 |
% 12.06/3.30 +-Applying beta-rule and splitting (274), into two cases.
% 12.06/3.30 |-Branch one:
% 12.06/3.30 | (1231) all_0_113_113 = e11
% 12.06/3.30 |
% 12.06/3.30 | Combining equations (1225,1231) yields a new equation:
% 12.06/3.30 | (1232) e13 = e11
% 12.06/3.30 |
% 12.06/3.30 | Simplifying 1232 yields:
% 12.06/3.30 | (1233) e13 = e11
% 12.06/3.30 |
% 12.06/3.30 | Equations (1233) can reduce 375 to:
% 12.06/3.30 | (414) $false
% 12.06/3.30 |
% 12.06/3.30 |-The branch is then unsatisfiable
% 12.06/3.30 |-Branch two:
% 12.06/3.30 | (1235) ~ (all_0_113_113 = e11)
% 12.06/3.30 | (1236) all_0_114_114 = e10 | all_0_143_143 = e12
% 12.06/3.30 |
% 12.06/3.30 | Equations (1225) can reduce 1235 to:
% 12.06/3.30 | (375) ~ (e13 = e11)
% 12.06/3.30 |
% 12.06/3.30 +-Applying beta-rule and splitting (1236), into two cases.
% 12.06/3.30 |-Branch one:
% 12.06/3.30 | (1238) all_0_114_114 = e10
% 12.06/3.30 |
% 12.06/3.30 | Combining equations (1238,1205) yields a new equation:
% 12.06/3.30 | (1239) e13 = e10
% 12.06/3.30 |
% 12.06/3.30 | Equations (1239) can reduce 190 to:
% 12.06/3.30 | (414) $false
% 12.06/3.30 |
% 12.06/3.30 |-The branch is then unsatisfiable
% 12.06/3.30 |-Branch two:
% 12.06/3.30 | (1241) ~ (all_0_114_114 = e10)
% 12.06/3.30 | (1242) all_0_143_143 = e12
% 12.06/3.30 |
% 12.06/3.30 | Equations (1242) can reduce 89 to:
% 12.06/3.30 | (1243) ~ (all_0_141_141 = e12)
% 12.06/3.30 |
% 12.06/3.30 | Equations (1242) can reduce 1178 to:
% 12.06/3.30 | (1244) ~ (e13 = e12)
% 12.06/3.30 |
% 12.06/3.30 | Simplifying 1244 yields:
% 12.06/3.30 | (310) ~ (e13 = e12)
% 12.06/3.30 |
% 12.06/3.30 | From (1242) and (313) follows:
% 12.06/3.30 | (1246) h4(e12) = all_0_4_4
% 12.06/3.30 |
% 12.06/3.30 +-Applying beta-rule and splitting (139), into two cases.
% 12.06/3.30 |-Branch one:
% 12.06/3.30 | (1247) all_0_141_141 = e11
% 12.06/3.30 |
% 12.06/3.30 | Equations (1247) can reduce 227 to:
% 12.06/3.30 | (1248) ~ (all_0_149_149 = e11)
% 12.06/3.30 |
% 12.06/3.30 | Simplifying 1248 yields:
% 12.06/3.30 | (1249) ~ (all_0_149_149 = e11)
% 12.06/3.30 |
% 12.06/3.30 | Equations (1247) can reduce 1226 to:
% 12.06/3.30 | (1250) ~ (e13 = e11)
% 12.06/3.30 |
% 12.06/3.30 | Simplifying 1250 yields:
% 12.06/3.30 | (375) ~ (e13 = e11)
% 12.06/3.30 |
% 12.06/3.30 | Equations (1247) can reduce 1243 to:
% 12.06/3.30 | (1252) ~ (e12 = e11)
% 12.06/3.30 |
% 12.06/3.30 | Simplifying 1252 yields:
% 12.06/3.30 | (333) ~ (e12 = e11)
% 12.06/3.30 |
% 12.06/3.30 | Equations (1247) can reduce 382 to:
% 12.06/3.30 | (316) ~ (e11 = e10)
% 12.06/3.30 |
% 12.06/3.30 | From (1247) and (193) follows:
% 12.06/3.30 | (1255) h4(e11) = all_0_2_2
% 12.06/3.30 |
% 12.06/3.30 +-Applying beta-rule and splitting (161), into two cases.
% 12.06/3.30 |-Branch one:
% 12.06/3.30 | (1256) all_0_148_148 = e12
% 12.06/3.30 |
% 12.06/3.30 | Combining equations (1256,1195) yields a new equation:
% 12.06/3.30 | (1220) e13 = e12
% 12.06/3.30 |
% 12.06/3.30 | Equations (1220) can reduce 310 to:
% 12.06/3.30 | (414) $false
% 12.06/3.30 |
% 12.06/3.30 |-The branch is then unsatisfiable
% 12.06/3.30 |-Branch two:
% 12.06/3.30 | (1190) ~ (all_0_148_148 = e12)
% 12.06/3.31 | (1260) all_0_149_149 = e12 | all_0_151_151 = e12
% 12.06/3.31 |
% 12.06/3.31 | Equations (1195) can reduce 1190 to:
% 12.06/3.31 | (310) ~ (e13 = e12)
% 12.06/3.31 |
% 12.06/3.31 +-Applying beta-rule and splitting (138), into two cases.
% 12.06/3.31 |-Branch one:
% 12.06/3.31 | (1262) all_0_141_141 = e12
% 12.06/3.31 |
% 12.06/3.31 | Combining equations (1262,1247) yields a new equation:
% 12.06/3.31 | (1263) e12 = e11
% 12.06/3.31 |
% 12.06/3.31 | Simplifying 1263 yields:
% 12.06/3.31 | (1264) e12 = e11
% 12.06/3.31 |
% 12.06/3.31 | Equations (1264) can reduce 333 to:
% 12.06/3.31 | (414) $false
% 12.06/3.31 |
% 12.06/3.31 |-The branch is then unsatisfiable
% 12.06/3.31 |-Branch two:
% 12.06/3.31 | (1243) ~ (all_0_141_141 = e12)
% 12.06/3.31 | (1267) all_0_145_145 = e12 | all_0_149_149 = e12
% 12.06/3.31 |
% 12.06/3.31 +-Applying beta-rule and splitting (1267), into two cases.
% 12.06/3.31 |-Branch one:
% 12.06/3.31 | (1268) all_0_145_145 = e12
% 12.06/3.31 |
% 12.06/3.31 | Combining equations (1268,1224) yields a new equation:
% 12.06/3.31 | (1220) e13 = e12
% 12.06/3.31 |
% 12.06/3.31 | Equations (1220) can reduce 310 to:
% 12.06/3.31 | (414) $false
% 12.06/3.31 |
% 12.06/3.31 |-The branch is then unsatisfiable
% 12.06/3.31 |-Branch two:
% 12.06/3.31 | (1188) ~ (all_0_145_145 = e12)
% 12.06/3.31 | (1272) all_0_149_149 = e12
% 12.06/3.31 |
% 12.06/3.31 | Equations (1272) can reduce 1249 to:
% 12.06/3.31 | (333) ~ (e12 = e11)
% 12.06/3.31 |
% 12.06/3.31 | From (1272) and (392) follows:
% 12.06/3.31 | (1274) h4(e12) = all_0_10_10
% 12.06/3.31 |
% 12.06/3.31 | Instantiating formula (166) with e13, all_0_3_3, e23 and discharging atoms h4(e13) = all_0_3_3, h4(e13) = e23, yields:
% 12.06/3.31 | (1275) all_0_3_3 = e23
% 12.06/3.31 |
% 12.06/3.31 | Instantiating formula (166) with e13, all_0_6_6, all_0_3_3 and discharging atoms h4(e13) = all_0_3_3, h4(e13) = all_0_6_6, yields:
% 12.06/3.31 | (1276) all_0_3_3 = all_0_6_6
% 12.06/3.31 |
% 12.06/3.31 | Instantiating formula (166) with e12, all_0_4_4, e22 and discharging atoms h4(e12) = all_0_4_4, h4(e12) = e22, yields:
% 12.06/3.31 | (1277) all_0_4_4 = e22
% 12.06/3.31 |
% 12.06/3.31 | Instantiating formula (166) with e12, all_0_10_10, all_0_4_4 and discharging atoms h4(e12) = all_0_4_4, h4(e12) = all_0_10_10, yields:
% 12.06/3.31 | (1278) all_0_4_4 = all_0_10_10
% 12.06/3.31 |
% 12.06/3.31 | Instantiating formula (166) with e11, all_0_2_2, e21 and discharging atoms h4(e11) = all_0_2_2, h4(e11) = e21, yields:
% 12.06/3.31 | (1279) all_0_2_2 = e21
% 12.06/3.31 |
% 12.06/3.31 | Combining equations (1275,1276) yields a new equation:
% 12.06/3.31 | (1280) all_0_6_6 = e23
% 12.06/3.31 |
% 12.06/3.31 | Combining equations (1277,1278) yields a new equation:
% 12.06/3.31 | (1281) all_0_10_10 = e22
% 12.06/3.31 |
% 12.06/3.31 | Combining equations (1281,1278) yields a new equation:
% 12.06/3.31 | (1277) all_0_4_4 = e22
% 12.06/3.31 |
% 12.06/3.31 | Combining equations (1280,1276) yields a new equation:
% 12.06/3.31 | (1275) all_0_3_3 = e23
% 12.06/3.31 |
% 12.06/3.31 | From (1279) and (1255) follows:
% 12.06/3.31 | (128) h4(e11) = e21
% 12.06/3.31 |
% 12.06/3.31 +-Applying beta-rule and splitting (222), into two cases.
% 12.06/3.31 |-Branch one:
% 12.06/3.31 | (1285) all_0_146_146 = e10
% 12.06/3.31 |
% 12.06/3.31 | Equations (1285) can reduce 57 to:
% 12.06/3.31 | (1286) ~ (all_0_147_147 = e10)
% 12.06/3.31 |
% 12.06/3.31 | Simplifying 1286 yields:
% 12.06/3.31 | (1287) ~ (all_0_147_147 = e10)
% 12.06/3.31 |
% 12.06/3.31 | Equations (1285) can reduce 1214 to:
% 12.06/3.31 | (1288) ~ (e13 = e10)
% 12.06/3.31 |
% 12.06/3.31 | Simplifying 1288 yields:
% 12.06/3.31 | (190) ~ (e13 = e10)
% 12.06/3.31 |
% 12.06/3.31 +-Applying beta-rule and splitting (372), into two cases.
% 12.06/3.31 |-Branch one:
% 12.06/3.31 | (1290) all_0_140_140 = e10
% 12.06/3.31 |
% 12.06/3.31 | Combining equations (1176,1290) yields a new equation:
% 12.06/3.31 | (1291) e13 = e10
% 12.06/3.31 |
% 12.06/3.31 | Simplifying 1291 yields:
% 12.06/3.31 | (1239) e13 = e10
% 12.06/3.31 |
% 12.06/3.31 | Equations (1239) can reduce 190 to:
% 12.06/3.31 | (414) $false
% 12.06/3.31 |
% 12.06/3.31 |-The branch is then unsatisfiable
% 12.06/3.31 |-Branch two:
% 12.06/3.31 | (1166) ~ (all_0_140_140 = e10)
% 12.06/3.31 | (1295) all_0_147_147 = e10 | all_0_151_151 = e10
% 12.06/3.31 |
% 12.06/3.31 +-Applying beta-rule and splitting (1295), into two cases.
% 12.06/3.31 |-Branch one:
% 12.06/3.31 | (1296) all_0_147_147 = e10
% 12.06/3.31 |
% 12.06/3.31 | Equations (1296) can reduce 1287 to:
% 12.06/3.31 | (414) $false
% 12.06/3.31 |
% 12.06/3.31 |-The branch is then unsatisfiable
% 12.06/3.31 |-Branch two:
% 12.06/3.31 | (1287) ~ (all_0_147_147 = e10)
% 12.06/3.31 | (1299) all_0_151_151 = e10
% 12.06/3.31 |
% 12.06/3.31 | Equations (1299) can reduce 126 to:
% 12.06/3.31 | (1287) ~ (all_0_147_147 = e10)
% 12.06/3.31 |
% 12.06/3.31 +-Applying beta-rule and splitting (287), into two cases.
% 12.06/3.31 |-Branch one:
% 12.06/3.31 | (1301) all_0_149_149 = e11
% 12.06/3.31 |
% 12.06/3.31 | Combining equations (1272,1301) yields a new equation:
% 12.06/3.31 | (1263) e12 = e11
% 12.06/3.31 |
% 12.06/3.31 | Simplifying 1263 yields:
% 12.06/3.31 | (1264) e12 = e11
% 12.06/3.31 |
% 12.06/3.31 | Equations (1264) can reduce 333 to:
% 12.06/3.31 | (414) $false
% 12.06/3.31 |
% 12.06/3.31 |-The branch is then unsatisfiable
% 12.06/3.31 |-Branch two:
% 12.06/3.31 | (1249) ~ (all_0_149_149 = e11)
% 12.06/3.31 | (1306) all_0_150_150 = e11 | all_0_151_151 = e11
% 12.06/3.31 |
% 12.06/3.31 | Equations (1272) can reduce 1249 to:
% 12.06/3.31 | (333) ~ (e12 = e11)
% 12.06/3.31 |
% 12.06/3.31 +-Applying beta-rule and splitting (100), into two cases.
% 12.06/3.31 |-Branch one:
% 12.06/3.31 | (1308) all_0_143_143 = e11
% 12.06/3.31 |
% 12.06/3.31 | Combining equations (1242,1308) yields a new equation:
% 12.06/3.31 | (1263) e12 = e11
% 12.06/3.31 |
% 12.06/3.31 | Simplifying 1263 yields:
% 12.06/3.31 | (1264) e12 = e11
% 12.06/3.31 |
% 12.06/3.31 | Equations (1264) can reduce 333 to:
% 12.06/3.31 | (414) $false
% 12.06/3.31 |
% 12.06/3.31 |-The branch is then unsatisfiable
% 12.06/3.31 |-Branch two:
% 12.06/3.31 | (1312) ~ (all_0_143_143 = e11)
% 12.06/3.31 | (1313) all_0_147_147 = e11 | all_0_151_151 = e11
% 12.06/3.31 |
% 12.06/3.31 +-Applying beta-rule and splitting (228), into two cases.
% 12.06/3.31 |-Branch one:
% 12.06/3.31 | (1314) all_0_142_142 = e11
% 12.06/3.31 |
% 12.06/3.31 | Combining equations (1210,1314) yields a new equation:
% 12.06/3.31 | (1232) e13 = e11
% 12.06/3.31 |
% 12.06/3.31 | Simplifying 1232 yields:
% 12.06/3.31 | (1233) e13 = e11
% 12.06/3.31 |
% 12.06/3.31 | Equations (1233) can reduce 375 to:
% 12.06/3.31 | (414) $false
% 12.06/3.31 |
% 12.06/3.31 |-The branch is then unsatisfiable
% 12.06/3.31 |-Branch two:
% 12.06/3.31 | (1318) ~ (all_0_142_142 = e11)
% 12.06/3.31 | (1319) all_0_146_146 = e11 | all_0_150_150 = e11
% 12.06/3.31 |
% 12.06/3.31 +-Applying beta-rule and splitting (1313), into two cases.
% 12.06/3.31 |-Branch one:
% 12.06/3.31 | (1320) all_0_147_147 = e11
% 12.06/3.31 |
% 12.06/3.31 | Equations (1320) can reduce 1287 to:
% 12.06/3.31 | (316) ~ (e11 = e10)
% 12.06/3.31 |
% 12.06/3.31 +-Applying beta-rule and splitting (1319), into two cases.
% 12.06/3.31 |-Branch one:
% 12.06/3.31 | (1322) all_0_146_146 = e11
% 12.06/3.31 |
% 12.06/3.31 | Combining equations (1322,1285) yields a new equation:
% 12.06/3.31 | (1323) e11 = e10
% 12.06/3.31 |
% 12.06/3.31 | Simplifying 1323 yields:
% 12.06/3.31 | (1324) e11 = e10
% 12.06/3.31 |
% 12.06/3.31 | Equations (1324) can reduce 316 to:
% 12.06/3.31 | (414) $false
% 12.06/3.31 |
% 12.06/3.31 |-The branch is then unsatisfiable
% 12.06/3.31 |-Branch two:
% 12.06/3.31 | (1326) ~ (all_0_146_146 = e11)
% 12.06/3.31 | (1327) all_0_150_150 = e11
% 12.06/3.31 |
% 12.06/3.31 | Equations (1327) can reduce 1197 to:
% 12.06/3.31 | (1250) ~ (e13 = e11)
% 12.06/3.31 |
% 12.06/3.31 | Simplifying 1250 yields:
% 12.06/3.31 | (375) ~ (e13 = e11)
% 12.06/3.31 |
% 12.06/3.31 +-Applying beta-rule and splitting (108), into two cases.
% 12.06/3.31 |-Branch one:
% 12.06/3.31 | (1330) (all_0_140_140 = e13 & all_0_148_148 = e13 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10)) | (all_0_142_142 = e11 & all_0_145_145 = e11 & ~ (all_0_141_141 = e12) & ~ (all_0_151_151 = e12)) | (all_0_143_143 = e12 & all_0_149_149 = e12 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10))
% 12.06/3.31 |
% 12.06/3.31 +-Applying beta-rule and splitting (1330), into two cases.
% 12.06/3.31 |-Branch one:
% 12.06/3.31 | (1331) (all_0_140_140 = e13 & all_0_148_148 = e13 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10)) | (all_0_142_142 = e11 & all_0_145_145 = e11 & ~ (all_0_141_141 = e12) & ~ (all_0_151_151 = e12))
% 12.06/3.31 |
% 12.06/3.31 +-Applying beta-rule and splitting (1331), into two cases.
% 12.06/3.31 |-Branch one:
% 12.06/3.31 | (1332) all_0_140_140 = e13 & all_0_148_148 = e13 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10)
% 12.06/3.31 |
% 12.06/3.31 | Applying alpha-rule on (1332) yields:
% 12.06/3.31 | (1176) all_0_140_140 = e13
% 12.06/3.31 | (1195) all_0_148_148 = e13
% 12.06/3.31 | (1335) ~ (all_0_146_146 = e10)
% 12.06/3.31 | (1336) ~ (all_0_151_151 = e10)
% 12.06/3.31 |
% 12.06/3.31 | Equations (1299) can reduce 1336 to:
% 12.06/3.31 | (414) $false
% 12.06/3.31 |
% 12.06/3.31 |-The branch is then unsatisfiable
% 12.06/3.31 |-Branch two:
% 12.06/3.31 | (1338) all_0_142_142 = e11 & all_0_145_145 = e11 & ~ (all_0_141_141 = e12) & ~ (all_0_151_151 = e12)
% 12.06/3.31 |
% 12.06/3.31 | Applying alpha-rule on (1338) yields:
% 12.06/3.31 | (1314) all_0_142_142 = e11
% 12.06/3.31 | (1340) all_0_145_145 = e11
% 12.06/3.31 | (1243) ~ (all_0_141_141 = e12)
% 12.06/3.31 | (1342) ~ (all_0_151_151 = e12)
% 12.06/3.31 |
% 12.06/3.31 | Combining equations (1340,1224) yields a new equation:
% 12.06/3.31 | (1233) e13 = e11
% 12.06/3.31 |
% 12.06/3.31 | Equations (1233) can reduce 375 to:
% 12.06/3.31 | (414) $false
% 12.06/3.31 |
% 12.06/3.31 |-The branch is then unsatisfiable
% 12.06/3.31 |-Branch two:
% 12.06/3.31 | (1345) all_0_143_143 = e12 & all_0_149_149 = e12 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10)
% 12.06/3.31 |
% 12.06/3.31 | Applying alpha-rule on (1345) yields:
% 12.06/3.32 | (1242) all_0_143_143 = e12
% 12.06/3.32 | (1272) all_0_149_149 = e12
% 12.06/3.32 | (1335) ~ (all_0_146_146 = e10)
% 12.06/3.32 | (1336) ~ (all_0_151_151 = e10)
% 12.06/3.32 |
% 12.06/3.32 | Equations (1299) can reduce 1336 to:
% 12.06/3.32 | (414) $false
% 12.06/3.32 |
% 12.06/3.32 |-The branch is then unsatisfiable
% 12.06/3.32 |-Branch two:
% 12.06/3.32 | (1351) all_0_147_147 = e11 & all_0_150_150 = e11 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10)
% 12.06/3.32 |
% 12.06/3.32 | Applying alpha-rule on (1351) yields:
% 12.06/3.32 | (1320) all_0_147_147 = e11
% 12.06/3.32 | (1327) all_0_150_150 = e11
% 12.06/3.32 | (1335) ~ (all_0_146_146 = e10)
% 12.06/3.32 | (1336) ~ (all_0_151_151 = e10)
% 12.06/3.32 |
% 12.06/3.32 | Equations (1299) can reduce 1336 to:
% 12.06/3.32 | (414) $false
% 12.06/3.32 |
% 12.06/3.32 |-The branch is then unsatisfiable
% 12.06/3.32 |-Branch two:
% 12.06/3.32 | (1357) ~ (all_0_147_147 = e11)
% 12.06/3.32 | (1358) all_0_151_151 = e11
% 12.06/3.32 |
% 12.06/3.32 | Combining equations (1358,1299) yields a new equation:
% 12.06/3.32 | (1323) e11 = e10
% 12.06/3.32 |
% 12.06/3.32 | Simplifying 1323 yields:
% 12.06/3.32 | (1324) e11 = e10
% 12.06/3.32 |
% 12.06/3.32 | Equations (1324) can reduce 316 to:
% 12.06/3.32 | (414) $false
% 12.06/3.32 |
% 12.06/3.32 |-The branch is then unsatisfiable
% 12.06/3.32 |-Branch two:
% 12.06/3.32 | (1335) ~ (all_0_146_146 = e10)
% 12.06/3.32 | (1363) all_0_150_150 = e10
% 12.06/3.32 |
% 12.06/3.32 | Equations (1363) can reduce 244 to:
% 12.06/3.32 | (1364) ~ (all_0_151_151 = e10)
% 12.06/3.32 |
% 12.06/3.32 | Simplifying 1364 yields:
% 12.06/3.32 | (1336) ~ (all_0_151_151 = e10)
% 12.06/3.32 |
% 12.06/3.32 | Equations (1363) can reduce 1197 to:
% 12.06/3.32 | (1288) ~ (e13 = e10)
% 12.06/3.32 |
% 12.06/3.32 | Simplifying 1288 yields:
% 12.06/3.32 | (190) ~ (e13 = e10)
% 12.06/3.32 |
% 12.06/3.32 | From (1363) and (93) follows:
% 12.06/3.32 | (1368) h4(e10) = all_0_11_11
% 12.06/3.32 |
% 12.06/3.32 +-Applying beta-rule and splitting (372), into two cases.
% 12.06/3.32 |-Branch one:
% 12.06/3.32 | (1290) all_0_140_140 = e10
% 12.06/3.32 |
% 12.06/3.32 | Combining equations (1176,1290) yields a new equation:
% 12.06/3.32 | (1291) e13 = e10
% 12.06/3.32 |
% 12.06/3.32 | Simplifying 1291 yields:
% 12.06/3.32 | (1239) e13 = e10
% 12.06/3.32 |
% 12.06/3.32 | Equations (1239) can reduce 190 to:
% 12.06/3.32 | (414) $false
% 12.06/3.32 |
% 12.06/3.32 |-The branch is then unsatisfiable
% 12.06/3.32 |-Branch two:
% 12.06/3.32 | (1166) ~ (all_0_140_140 = e10)
% 12.06/3.32 | (1295) all_0_147_147 = e10 | all_0_151_151 = e10
% 12.06/3.32 |
% 12.06/3.32 +-Applying beta-rule and splitting (1295), into two cases.
% 12.06/3.32 |-Branch one:
% 12.06/3.32 | (1296) all_0_147_147 = e10
% 12.06/3.32 |
% 12.06/3.32 | Equations (1296) can reduce 126 to:
% 12.06/3.32 | (1364) ~ (all_0_151_151 = e10)
% 12.06/3.32 |
% 12.06/3.32 | Simplifying 1364 yields:
% 12.06/3.32 | (1336) ~ (all_0_151_151 = e10)
% 12.06/3.32 |
% 12.06/3.32 | From (1296) and (133) follows:
% 12.06/3.32 | (1378) h4(e10) = all_0_8_8
% 12.06/3.32 |
% 12.06/3.32 +-Applying beta-rule and splitting (287), into two cases.
% 12.06/3.32 |-Branch one:
% 12.06/3.32 | (1301) all_0_149_149 = e11
% 12.06/3.32 |
% 12.06/3.32 | Combining equations (1272,1301) yields a new equation:
% 12.06/3.32 | (1263) e12 = e11
% 12.06/3.32 |
% 12.51/3.32 | Simplifying 1263 yields:
% 12.51/3.32 | (1264) e12 = e11
% 12.51/3.32 |
% 12.51/3.32 | Equations (1264) can reduce 333 to:
% 12.51/3.32 | (414) $false
% 12.51/3.32 |
% 12.51/3.32 |-The branch is then unsatisfiable
% 12.51/3.32 |-Branch two:
% 12.51/3.32 | (1249) ~ (all_0_149_149 = e11)
% 12.51/3.32 | (1306) all_0_150_150 = e11 | all_0_151_151 = e11
% 12.51/3.32 |
% 12.51/3.32 | Equations (1272) can reduce 1249 to:
% 12.51/3.32 | (333) ~ (e12 = e11)
% 12.51/3.32 |
% 12.51/3.32 +-Applying beta-rule and splitting (100), into two cases.
% 12.51/3.32 |-Branch one:
% 12.51/3.32 | (1308) all_0_143_143 = e11
% 12.51/3.32 |
% 12.51/3.32 | Combining equations (1242,1308) yields a new equation:
% 12.51/3.32 | (1263) e12 = e11
% 12.51/3.32 |
% 12.51/3.32 | Simplifying 1263 yields:
% 12.51/3.32 | (1264) e12 = e11
% 12.51/3.32 |
% 12.51/3.32 | Equations (1264) can reduce 333 to:
% 12.51/3.32 | (414) $false
% 12.51/3.32 |
% 12.51/3.32 |-The branch is then unsatisfiable
% 12.51/3.32 |-Branch two:
% 12.51/3.32 | (1312) ~ (all_0_143_143 = e11)
% 12.51/3.32 | (1313) all_0_147_147 = e11 | all_0_151_151 = e11
% 12.51/3.32 |
% 12.51/3.32 +-Applying beta-rule and splitting (228), into two cases.
% 12.51/3.32 |-Branch one:
% 12.51/3.32 | (1314) all_0_142_142 = e11
% 12.51/3.32 |
% 12.51/3.32 | Combining equations (1210,1314) yields a new equation:
% 12.51/3.32 | (1232) e13 = e11
% 12.51/3.32 |
% 12.51/3.32 | Simplifying 1232 yields:
% 12.51/3.32 | (1233) e13 = e11
% 12.51/3.32 |
% 12.51/3.32 | Equations (1233) can reduce 375 to:
% 12.51/3.32 | (414) $false
% 12.51/3.32 |
% 12.51/3.32 |-The branch is then unsatisfiable
% 12.51/3.32 |-Branch two:
% 12.51/3.32 | (1318) ~ (all_0_142_142 = e11)
% 12.51/3.32 | (1319) all_0_146_146 = e11 | all_0_150_150 = e11
% 12.51/3.32 |
% 12.51/3.32 +-Applying beta-rule and splitting (1313), into two cases.
% 12.51/3.32 |-Branch one:
% 12.51/3.32 | (1320) all_0_147_147 = e11
% 12.51/3.32 |
% 12.51/3.32 | Combining equations (1320,1296) yields a new equation:
% 12.51/3.32 | (1323) e11 = e10
% 12.51/3.32 |
% 12.51/3.32 | Simplifying 1323 yields:
% 12.51/3.32 | (1324) e11 = e10
% 12.51/3.32 |
% 12.51/3.32 | Equations (1324) can reduce 316 to:
% 12.51/3.32 | (414) $false
% 12.51/3.32 |
% 12.51/3.32 |-The branch is then unsatisfiable
% 12.51/3.32 |-Branch two:
% 12.51/3.32 | (1357) ~ (all_0_147_147 = e11)
% 12.51/3.32 | (1358) all_0_151_151 = e11
% 12.51/3.32 |
% 12.51/3.32 | Equations (1358) can reduce 1336 to:
% 12.51/3.32 | (316) ~ (e11 = e10)
% 12.51/3.32 |
% 12.51/3.32 | From (1358) and (293) follows:
% 12.51/3.32 | (1405) h4(e11) = all_0_12_12
% 12.51/3.32 |
% 12.51/3.32 +-Applying beta-rule and splitting (1319), into two cases.
% 12.51/3.32 |-Branch one:
% 12.51/3.32 | (1322) all_0_146_146 = e11
% 12.51/3.32 |
% 12.51/3.32 | From (1322) and (364) follows:
% 12.51/3.32 | (1407) h4(e11) = all_0_7_7
% 12.51/3.32 |
% 12.51/3.32 | Instantiating formula (166) with e11, all_0_7_7, e21 and discharging atoms h4(e11) = all_0_7_7, h4(e11) = e21, yields:
% 12.51/3.32 | (1408) all_0_7_7 = e21
% 12.51/3.32 |
% 12.51/3.32 | Instantiating formula (166) with e11, all_0_12_12, all_0_7_7 and discharging atoms h4(e11) = all_0_7_7, h4(e11) = all_0_12_12, yields:
% 12.51/3.32 | (1409) all_0_7_7 = all_0_12_12
% 12.51/3.32 |
% 12.51/3.32 | Instantiating formula (166) with e10, all_0_8_8, e20 and discharging atoms h4(e10) = all_0_8_8, h4(e10) = e20, yields:
% 12.51/3.32 | (1410) all_0_8_8 = e20
% 12.51/3.32 |
% 12.51/3.32 | Instantiating formula (166) with e10, all_0_11_11, all_0_8_8 and discharging atoms h4(e10) = all_0_8_8, h4(e10) = all_0_11_11, yields:
% 12.51/3.32 | (1411) all_0_8_8 = all_0_11_11
% 12.51/3.32 |
% 12.51/3.32 | Combining equations (1408,1409) yields a new equation:
% 12.51/3.32 | (1412) all_0_12_12 = e21
% 12.51/3.32 |
% 12.51/3.32 | Combining equations (1411,1410) yields a new equation:
% 12.51/3.32 | (1413) all_0_11_11 = e20
% 12.51/3.32 |
% 12.51/3.32 | Simplifying 1413 yields:
% 12.51/3.32 | (1414) all_0_11_11 = e20
% 12.51/3.32 |
% 12.51/3.32 | Combining equations (1412,1409) yields a new equation:
% 12.51/3.32 | (1408) all_0_7_7 = e21
% 12.51/3.32 |
% 12.51/3.32 +-Applying beta-rule and splitting (154), into two cases.
% 12.51/3.32 |-Branch one:
% 12.51/3.32 | (1416) ~ (all_0_0_0 = all_0_126_126)
% 12.51/3.32 |
% 12.51/3.32 | Equations (1183,480) can reduce 1416 to:
% 12.51/3.32 | (414) $false
% 12.51/3.32 |
% 12.51/3.32 |-The branch is then unsatisfiable
% 12.51/3.32 |-Branch two:
% 12.51/3.32 | (1418) all_0_0_0 = all_0_126_126
% 12.51/3.32 | (1419) ~ (all_0_1_1 = all_0_127_127) | ~ (all_0_2_2 = all_0_128_128) | ~ (all_0_3_3 = all_0_129_129) | ~ (all_0_4_4 = all_0_130_130) | ~ (all_0_5_5 = all_0_131_131) | ~ (all_0_6_6 = all_0_132_132) | ~ (all_0_7_7 = all_0_133_133) | ~ (all_0_8_8 = all_0_134_134) | ~ (all_0_9_9 = all_0_135_135) | ~ (all_0_10_10 = all_0_136_136) | ~ (all_0_11_11 = all_0_137_137) | ~ (all_0_12_12 = all_0_138_138)
% 12.51/3.32 |
% 12.51/3.32 +-Applying beta-rule and splitting (1419), into two cases.
% 12.51/3.32 |-Branch one:
% 12.51/3.32 | (1420) ~ (all_0_1_1 = all_0_127_127)
% 12.51/3.32 |
% 12.51/3.32 | Equations (1182,428) can reduce 1420 to:
% 12.51/3.32 | (414) $false
% 12.51/3.32 |
% 12.51/3.32 |-The branch is then unsatisfiable
% 12.51/3.32 |-Branch two:
% 12.51/3.32 | (1422) all_0_1_1 = all_0_127_127
% 12.51/3.32 | (1423) ~ (all_0_2_2 = all_0_128_128) | ~ (all_0_3_3 = all_0_129_129) | ~ (all_0_4_4 = all_0_130_130) | ~ (all_0_5_5 = all_0_131_131) | ~ (all_0_6_6 = all_0_132_132) | ~ (all_0_7_7 = all_0_133_133) | ~ (all_0_8_8 = all_0_134_134) | ~ (all_0_9_9 = all_0_135_135) | ~ (all_0_10_10 = all_0_136_136) | ~ (all_0_11_11 = all_0_137_137) | ~ (all_0_12_12 = all_0_138_138)
% 12.51/3.32 |
% 12.51/3.32 +-Applying beta-rule and splitting (1423), into two cases.
% 12.51/3.32 |-Branch one:
% 12.51/3.32 | (1424) ~ (all_0_2_2 = all_0_128_128)
% 12.51/3.32 |
% 12.51/3.32 | Equations (1279,449) can reduce 1424 to:
% 12.51/3.32 | (414) $false
% 12.51/3.32 |
% 12.51/3.32 |-The branch is then unsatisfiable
% 12.51/3.32 |-Branch two:
% 12.51/3.32 | (1426) all_0_2_2 = all_0_128_128
% 12.51/3.32 | (1427) ~ (all_0_3_3 = all_0_129_129) | ~ (all_0_4_4 = all_0_130_130) | ~ (all_0_5_5 = all_0_131_131) | ~ (all_0_6_6 = all_0_132_132) | ~ (all_0_7_7 = all_0_133_133) | ~ (all_0_8_8 = all_0_134_134) | ~ (all_0_9_9 = all_0_135_135) | ~ (all_0_10_10 = all_0_136_136) | ~ (all_0_11_11 = all_0_137_137) | ~ (all_0_12_12 = all_0_138_138)
% 12.51/3.32 |
% 12.51/3.32 +-Applying beta-rule and splitting (1427), into two cases.
% 12.51/3.32 |-Branch one:
% 12.51/3.33 | (1428) ~ (all_0_3_3 = all_0_129_129)
% 12.51/3.33 |
% 12.51/3.33 | Equations (1275,417) can reduce 1428 to:
% 12.51/3.33 | (414) $false
% 12.51/3.33 |
% 12.51/3.33 |-The branch is then unsatisfiable
% 12.51/3.33 |-Branch two:
% 12.51/3.33 | (1430) all_0_3_3 = all_0_129_129
% 12.51/3.33 | (1431) ~ (all_0_4_4 = all_0_130_130) | ~ (all_0_5_5 = all_0_131_131) | ~ (all_0_6_6 = all_0_132_132) | ~ (all_0_7_7 = all_0_133_133) | ~ (all_0_8_8 = all_0_134_134) | ~ (all_0_9_9 = all_0_135_135) | ~ (all_0_10_10 = all_0_136_136) | ~ (all_0_11_11 = all_0_137_137) | ~ (all_0_12_12 = all_0_138_138)
% 12.51/3.33 |
% 12.51/3.33 +-Applying beta-rule and splitting (1431), into two cases.
% 12.51/3.33 |-Branch one:
% 12.51/3.33 | (1432) ~ (all_0_4_4 = all_0_130_130)
% 12.51/3.33 |
% 12.51/3.33 | Equations (1277,459) can reduce 1432 to:
% 12.51/3.33 | (414) $false
% 12.51/3.33 |
% 12.51/3.33 |-The branch is then unsatisfiable
% 12.51/3.33 |-Branch two:
% 12.51/3.33 | (1434) all_0_4_4 = all_0_130_130
% 12.51/3.33 | (1435) ~ (all_0_5_5 = all_0_131_131) | ~ (all_0_6_6 = all_0_132_132) | ~ (all_0_7_7 = all_0_133_133) | ~ (all_0_8_8 = all_0_134_134) | ~ (all_0_9_9 = all_0_135_135) | ~ (all_0_10_10 = all_0_136_136) | ~ (all_0_11_11 = all_0_137_137) | ~ (all_0_12_12 = all_0_138_138)
% 12.51/3.33 |
% 12.51/3.33 +-Applying beta-rule and splitting (1435), into two cases.
% 12.51/3.33 |-Branch one:
% 12.51/3.33 | (1436) ~ (all_0_5_5 = all_0_131_131)
% 12.51/3.33 |
% 12.51/3.33 | Equations (1207,511) can reduce 1436 to:
% 12.51/3.33 | (414) $false
% 12.51/3.33 |
% 12.51/3.33 |-The branch is then unsatisfiable
% 12.51/3.33 |-Branch two:
% 12.51/3.33 | (1438) all_0_5_5 = all_0_131_131
% 12.51/3.33 | (1439) ~ (all_0_6_6 = all_0_132_132) | ~ (all_0_7_7 = all_0_133_133) | ~ (all_0_8_8 = all_0_134_134) | ~ (all_0_9_9 = all_0_135_135) | ~ (all_0_10_10 = all_0_136_136) | ~ (all_0_11_11 = all_0_137_137) | ~ (all_0_12_12 = all_0_138_138)
% 12.51/3.33 |
% 12.51/3.33 +-Applying beta-rule and splitting (1439), into two cases.
% 12.51/3.33 |-Branch one:
% 12.51/3.33 | (1440) ~ (all_0_6_6 = all_0_132_132)
% 12.51/3.33 |
% 12.51/3.33 | Equations (1280,604) can reduce 1440 to:
% 12.51/3.33 | (414) $false
% 12.51/3.33 |
% 12.51/3.33 |-The branch is then unsatisfiable
% 12.51/3.33 |-Branch two:
% 12.51/3.33 | (1442) all_0_6_6 = all_0_132_132
% 12.51/3.33 | (1443) ~ (all_0_7_7 = all_0_133_133) | ~ (all_0_8_8 = all_0_134_134) | ~ (all_0_9_9 = all_0_135_135) | ~ (all_0_10_10 = all_0_136_136) | ~ (all_0_11_11 = all_0_137_137) | ~ (all_0_12_12 = all_0_138_138)
% 12.51/3.33 |
% 12.51/3.33 +-Applying beta-rule and splitting (1443), into two cases.
% 12.51/3.33 |-Branch one:
% 12.51/3.33 | (1444) ~ (all_0_7_7 = all_0_133_133)
% 12.51/3.33 |
% 12.51/3.33 | Equations (1408,838) can reduce 1444 to:
% 12.51/3.33 | (414) $false
% 12.51/3.33 |
% 12.51/3.33 |-The branch is then unsatisfiable
% 12.51/3.33 |-Branch two:
% 12.51/3.33 | (1446) all_0_7_7 = all_0_133_133
% 12.51/3.33 | (1447) ~ (all_0_8_8 = all_0_134_134) | ~ (all_0_9_9 = all_0_135_135) | ~ (all_0_10_10 = all_0_136_136) | ~ (all_0_11_11 = all_0_137_137) | ~ (all_0_12_12 = all_0_138_138)
% 12.51/3.33 |
% 12.51/3.33 +-Applying beta-rule and splitting (1447), into two cases.
% 12.51/3.33 |-Branch one:
% 12.51/3.33 | (1448) ~ (all_0_8_8 = all_0_134_134)
% 12.51/3.33 |
% 12.51/3.33 | Equations (1410,665) can reduce 1448 to:
% 12.51/3.33 | (414) $false
% 12.51/3.33 |
% 12.51/3.33 |-The branch is then unsatisfiable
% 12.51/3.33 |-Branch two:
% 12.51/3.33 | (1450) all_0_8_8 = all_0_134_134
% 12.51/3.33 | (1451) ~ (all_0_9_9 = all_0_135_135) | ~ (all_0_10_10 = all_0_136_136) | ~ (all_0_11_11 = all_0_137_137) | ~ (all_0_12_12 = all_0_138_138)
% 12.51/3.33 |
% 12.51/3.33 +-Applying beta-rule and splitting (1451), into two cases.
% 12.51/3.33 |-Branch one:
% 12.51/3.33 | (1452) ~ (all_0_9_9 = all_0_135_135)
% 12.51/3.33 |
% 12.51/3.33 | Equations (1206,429) can reduce 1452 to:
% 12.51/3.33 | (414) $false
% 12.51/3.33 |
% 12.51/3.33 |-The branch is then unsatisfiable
% 12.51/3.33 |-Branch two:
% 12.51/3.33 | (1454) all_0_9_9 = all_0_135_135
% 12.51/3.33 | (1455) ~ (all_0_10_10 = all_0_136_136) | ~ (all_0_11_11 = all_0_137_137) | ~ (all_0_12_12 = all_0_138_138)
% 12.51/3.33 |
% 12.51/3.33 +-Applying beta-rule and splitting (1455), into two cases.
% 12.51/3.33 |-Branch one:
% 12.51/3.33 | (1456) ~ (all_0_10_10 = all_0_136_136)
% 12.51/3.33 |
% 12.51/3.33 | Equations (1281,447) can reduce 1456 to:
% 12.51/3.33 | (414) $false
% 12.51/3.33 |
% 12.51/3.33 |-The branch is then unsatisfiable
% 12.51/3.33 |-Branch two:
% 12.51/3.33 | (1458) all_0_10_10 = all_0_136_136
% 12.51/3.33 | (1459) ~ (all_0_11_11 = all_0_137_137) | ~ (all_0_12_12 = all_0_138_138)
% 12.51/3.33 |
% 12.51/3.33 +-Applying beta-rule and splitting (1459), into two cases.
% 12.51/3.33 |-Branch one:
% 12.51/3.33 | (1460) ~ (all_0_11_11 = all_0_137_137)
% 12.51/3.33 |
% 12.51/3.33 | Equations (1414,627) can reduce 1460 to:
% 12.51/3.33 | (414) $false
% 12.51/3.33 |
% 12.51/3.33 |-The branch is then unsatisfiable
% 12.51/3.33 |-Branch two:
% 12.51/3.33 | (1462) all_0_11_11 = all_0_137_137
% 12.51/3.33 | (1463) ~ (all_0_12_12 = all_0_138_138)
% 12.51/3.33 |
% 12.51/3.33 | Equations (1412,648) can reduce 1463 to:
% 12.51/3.33 | (414) $false
% 12.51/3.33 |
% 12.51/3.33 |-The branch is then unsatisfiable
% 12.51/3.33 |-Branch two:
% 12.51/3.33 | (1326) ~ (all_0_146_146 = e11)
% 12.51/3.33 | (1327) all_0_150_150 = e11
% 12.51/3.33 |
% 12.51/3.33 | Combining equations (1327,1363) yields a new equation:
% 12.51/3.33 | (1323) e11 = e10
% 12.51/3.33 |
% 12.51/3.33 | Simplifying 1323 yields:
% 12.51/3.33 | (1324) e11 = e10
% 12.51/3.33 |
% 12.51/3.33 | Equations (1324) can reduce 316 to:
% 12.51/3.33 | (414) $false
% 12.51/3.33 |
% 12.51/3.33 |-The branch is then unsatisfiable
% 12.51/3.33 |-Branch two:
% 12.51/3.33 | (1287) ~ (all_0_147_147 = e10)
% 12.51/3.33 | (1299) all_0_151_151 = e10
% 12.51/3.33 |
% 12.51/3.33 | Equations (1299) can reduce 1336 to:
% 12.51/3.33 | (414) $false
% 12.51/3.33 |
% 12.51/3.33 |-The branch is then unsatisfiable
% 12.51/3.33 |-Branch two:
% 12.51/3.33 | (1473) ~ (all_0_141_141 = e11)
% 12.51/3.33 | (1474) all_0_142_142 = e11 | all_0_143_143 = e11
% 12.51/3.33 |
% 12.51/3.33 +-Applying beta-rule and splitting (1474), into two cases.
% 12.51/3.33 |-Branch one:
% 12.51/3.33 | (1314) all_0_142_142 = e11
% 12.51/3.33 |
% 12.51/3.33 | Combining equations (1210,1314) yields a new equation:
% 12.51/3.33 | (1232) e13 = e11
% 12.51/3.33 |
% 12.51/3.33 | Simplifying 1232 yields:
% 12.51/3.33 | (1233) e13 = e11
% 12.51/3.33 |
% 12.51/3.33 | Equations (1233) can reduce 375 to:
% 12.51/3.33 | (414) $false
% 12.51/3.33 |
% 12.51/3.33 |-The branch is then unsatisfiable
% 12.51/3.33 |-Branch two:
% 12.51/3.33 | (1318) ~ (all_0_142_142 = e11)
% 12.51/3.33 | (1308) all_0_143_143 = e11
% 12.51/3.33 |
% 12.51/3.33 | Combining equations (1308,1242) yields a new equation:
% 12.51/3.33 | (1264) e12 = e11
% 12.51/3.33 |
% 12.51/3.33 | Equations (1264) can reduce 333 to:
% 12.51/3.33 | (414) $false
% 12.51/3.33 |
% 12.51/3.33 |-The branch is then unsatisfiable
% 12.51/3.33 |-Branch two:
% 12.51/3.33 | (1483) ~ (all_0_145_145 = e13)
% 12.51/3.33 | (1484) all_0_146_146 = e13 | all_0_147_147 = e13
% 12.51/3.33 |
% 12.51/3.33 +-Applying beta-rule and splitting (1484), into two cases.
% 12.51/3.33 |-Branch one:
% 12.51/3.33 | (1485) all_0_146_146 = e13
% 12.51/3.33 |
% 12.51/3.33 | Equations (1485) can reduce 1214 to:
% 12.51/3.33 | (414) $false
% 12.51/3.33 |
% 12.51/3.33 |-The branch is then unsatisfiable
% 12.51/3.33 |-Branch two:
% 12.51/3.33 | (1214) ~ (all_0_146_146 = e13)
% 12.51/3.33 | (1488) all_0_147_147 = e13
% 12.51/3.33 |
% 12.51/3.33 | Equations (1488) can reduce 1180 to:
% 12.51/3.33 | (414) $false
% 12.51/3.33 |
% 12.51/3.33 |-The branch is then unsatisfiable
% 12.51/3.33 |-Branch two:
% 12.51/3.33 | (1490) ~ (all_0_142_142 = e13)
% 12.51/3.33 | (1314) all_0_142_142 = e11
% 12.51/3.33 |
% 12.51/3.33 | Equations (1314) can reduce 117 to:
% 12.51/3.33 | (1473) ~ (all_0_141_141 = e11)
% 12.51/3.33 |
% 12.51/3.33 | Equations (1314) can reduce 355 to:
% 12.51/3.33 | (1493) ~ (all_0_143_143 = e11)
% 12.51/3.33 |
% 12.51/3.33 | Simplifying 1493 yields:
% 12.51/3.33 | (1312) ~ (all_0_143_143 = e11)
% 12.51/3.33 |
% 12.51/3.33 | Equations (1314) can reduce 95 to:
% 12.51/3.33 | (1495) ~ (all_0_146_146 = e11)
% 12.51/3.33 |
% 12.51/3.33 | Simplifying 1495 yields:
% 12.51/3.33 | (1326) ~ (all_0_146_146 = e11)
% 12.51/3.33 |
% 12.51/3.34 | Equations (1314) can reduce 7 to:
% 12.51/3.34 | (1497) ~ (all_0_150_150 = e11)
% 12.51/3.34 |
% 12.51/3.34 | Simplifying 1497 yields:
% 12.51/3.34 | (1498) ~ (all_0_150_150 = e11)
% 12.51/3.34 |
% 12.51/3.34 | From (1314) and (252) follows:
% 12.51/3.34 | (1499) op1(e12, e11) = all_0_119_119
% 12.51/3.34 |
% 12.51/3.34 | From (1314) and (178) follows:
% 12.51/3.34 | (1500) op1(e12, e11) = e11
% 12.51/3.34 |
% 12.51/3.34 +-Applying beta-rule and splitting (269), into two cases.
% 12.51/3.34 |-Branch one:
% 12.51/3.34 | (1501) all_0_143_143 = e13
% 12.51/3.34 |
% 12.51/3.34 | Equations (1501) can reduce 1178 to:
% 12.51/3.34 | (414) $false
% 12.51/3.34 |
% 12.51/3.34 |-The branch is then unsatisfiable
% 12.51/3.34 |-Branch two:
% 12.51/3.34 | (1178) ~ (all_0_143_143 = e13)
% 12.51/3.34 | (1504) all_0_143_143 = e12 | all_0_143_143 = e11
% 12.51/3.34 |
% 12.51/3.34 +-Applying beta-rule and splitting (1504), into two cases.
% 12.51/3.34 |-Branch one:
% 12.51/3.34 | (1308) all_0_143_143 = e11
% 12.51/3.34 |
% 12.51/3.34 | Equations (1308) can reduce 1312 to:
% 12.51/3.34 | (414) $false
% 12.51/3.34 |
% 12.51/3.34 |-The branch is then unsatisfiable
% 12.51/3.34 |-Branch two:
% 12.51/3.34 | (1312) ~ (all_0_143_143 = e11)
% 12.51/3.34 | (1242) all_0_143_143 = e12
% 12.51/3.34 |
% 12.51/3.34 | Equations (1242) can reduce 89 to:
% 12.51/3.34 | (1243) ~ (all_0_141_141 = e12)
% 12.51/3.34 |
% 12.51/3.34 +-Applying beta-rule and splitting (336), into two cases.
% 12.51/3.34 |-Branch one:
% 12.51/3.34 | (1510) all_0_141_141 = e13
% 12.51/3.34 |
% 12.51/3.34 | Equations (1510) can reduce 224 to:
% 12.51/3.34 | (1511) ~ (all_0_145_145 = e13)
% 12.51/3.34 |
% 12.51/3.34 | Simplifying 1511 yields:
% 12.51/3.34 | (1483) ~ (all_0_145_145 = e13)
% 12.51/3.34 |
% 12.51/3.34 | Equations (1510) can reduce 227 to:
% 12.51/3.34 | (1513) ~ (all_0_149_149 = e13)
% 12.51/3.34 |
% 12.51/3.34 | Simplifying 1513 yields:
% 12.51/3.34 | (1514) ~ (all_0_149_149 = e13)
% 12.51/3.34 |
% 12.51/3.34 | Equations (1510) can reduce 1243 to:
% 12.51/3.34 | (310) ~ (e13 = e12)
% 12.51/3.34 |
% 12.51/3.34 | Equations (1510) can reduce 382 to:
% 12.51/3.34 | (190) ~ (e13 = e10)
% 12.51/3.34 |
% 12.51/3.34 +-Applying beta-rule and splitting (369), into two cases.
% 12.51/3.34 |-Branch one:
% 12.51/3.34 | (1224) all_0_145_145 = e13
% 12.51/3.34 |
% 12.51/3.34 | Equations (1224) can reduce 1483 to:
% 12.51/3.34 | (414) $false
% 12.51/3.34 |
% 12.51/3.34 |-The branch is then unsatisfiable
% 12.51/3.34 |-Branch two:
% 12.51/3.34 | (1483) ~ (all_0_145_145 = e13)
% 12.51/3.34 | (1520) all_0_145_145 = e12 | all_0_145_145 = e11 | all_0_145_145 = e10
% 12.51/3.34 |
% 12.51/3.34 +-Applying beta-rule and splitting (1520), into two cases.
% 12.51/3.34 |-Branch one:
% 12.51/3.34 | (1340) all_0_145_145 = e11
% 12.51/3.34 |
% 12.51/3.34 | Equations (1340) can reduce 99 to:
% 12.51/3.34 | (1248) ~ (all_0_149_149 = e11)
% 12.51/3.34 |
% 12.51/3.34 | Simplifying 1248 yields:
% 12.51/3.34 | (1249) ~ (all_0_149_149 = e11)
% 12.51/3.34 |
% 12.51/3.34 +-Applying beta-rule and splitting (287), into two cases.
% 12.51/3.34 |-Branch one:
% 12.51/3.34 | (1301) all_0_149_149 = e11
% 12.51/3.34 |
% 12.51/3.34 | Equations (1301) can reduce 1249 to:
% 12.51/3.34 | (414) $false
% 12.51/3.34 |
% 12.51/3.34 |-The branch is then unsatisfiable
% 12.51/3.34 |-Branch two:
% 12.51/3.34 | (1249) ~ (all_0_149_149 = e11)
% 12.51/3.34 | (1306) all_0_150_150 = e11 | all_0_151_151 = e11
% 12.51/3.34 |
% 12.51/3.34 +-Applying beta-rule and splitting (1306), into two cases.
% 12.51/3.34 |-Branch one:
% 12.51/3.34 | (1327) all_0_150_150 = e11
% 12.51/3.34 |
% 12.51/3.34 | Equations (1327) can reduce 1498 to:
% 12.51/3.34 | (414) $false
% 12.51/3.34 |
% 12.51/3.34 |-The branch is then unsatisfiable
% 12.51/3.34 |-Branch two:
% 12.51/3.34 | (1498) ~ (all_0_150_150 = e11)
% 12.51/3.34 | (1358) all_0_151_151 = e11
% 12.51/3.34 |
% 12.51/3.34 | Equations (1358) can reduce 126 to:
% 12.51/3.34 | (1357) ~ (all_0_147_147 = e11)
% 12.51/3.34 |
% 12.51/3.34 | Equations (1358) can reduce 248 to:
% 12.51/3.34 | (1249) ~ (all_0_149_149 = e11)
% 12.51/3.34 |
% 12.51/3.34 | Equations (1358) can reduce 244 to:
% 12.51/3.34 | (1498) ~ (all_0_150_150 = e11)
% 12.51/3.34 |
% 12.51/3.34 | Equations (1358) can reduce 1199 to:
% 12.51/3.34 | (1250) ~ (e13 = e11)
% 12.51/3.34 |
% 12.51/3.34 | Simplifying 1250 yields:
% 12.51/3.34 | (375) ~ (e13 = e11)
% 12.51/3.34 |
% 12.51/3.34 | From (1358) and (38) follows:
% 12.51/3.34 | (1537) op1(e10, e10) = e11
% 12.51/3.34 |
% 12.51/3.34 +-Applying beta-rule and splitting (372), into two cases.
% 12.51/3.34 |-Branch one:
% 12.51/3.34 | (1290) all_0_140_140 = e10
% 12.51/3.34 |
% 12.51/3.34 | Combining equations (1176,1290) yields a new equation:
% 12.51/3.34 | (1291) e13 = e10
% 12.51/3.34 |
% 12.51/3.34 | Simplifying 1291 yields:
% 12.51/3.34 | (1239) e13 = e10
% 12.51/3.34 |
% 12.51/3.34 | Equations (1239) can reduce 190 to:
% 12.51/3.34 | (414) $false
% 12.51/3.34 |
% 12.51/3.34 |-The branch is then unsatisfiable
% 12.51/3.34 |-Branch two:
% 12.51/3.34 | (1166) ~ (all_0_140_140 = e10)
% 12.51/3.34 | (1295) all_0_147_147 = e10 | all_0_151_151 = e10
% 12.51/3.34 |
% 12.51/3.34 | Equations (1176) can reduce 1166 to:
% 12.51/3.34 | (190) ~ (e13 = e10)
% 12.51/3.34 |
% 12.51/3.34 +-Applying beta-rule and splitting (84), into two cases.
% 12.51/3.34 |-Branch one:
% 12.51/3.34 | (1210) all_0_142_142 = e13
% 12.51/3.34 |
% 12.51/3.34 | Combining equations (1210,1314) yields a new equation:
% 12.51/3.34 | (1232) e13 = e11
% 12.51/3.34 |
% 12.51/3.34 | Simplifying 1232 yields:
% 12.51/3.34 | (1233) e13 = e11
% 12.51/3.34 |
% 12.51/3.34 | Equations (1233) can reduce 375 to:
% 12.51/3.34 | (414) $false
% 12.51/3.34 |
% 12.51/3.34 |-The branch is then unsatisfiable
% 12.51/3.34 |-Branch two:
% 12.51/3.34 | (1490) ~ (all_0_142_142 = e13)
% 12.51/3.34 | (1550) all_0_146_146 = e13 | all_0_150_150 = e13
% 12.51/3.34 |
% 12.51/3.34 | Equations (1314) can reduce 1490 to:
% 12.51/3.34 | (1250) ~ (e13 = e11)
% 12.51/3.34 |
% 12.51/3.34 | Simplifying 1250 yields:
% 12.51/3.34 | (375) ~ (e13 = e11)
% 12.51/3.34 |
% 12.51/3.34 +-Applying beta-rule and splitting (137), into two cases.
% 12.51/3.34 |-Branch one:
% 12.51/3.34 | (1553) all_0_149_149 = e13
% 12.51/3.34 |
% 12.51/3.34 | Equations (1553) can reduce 1514 to:
% 12.51/3.34 | (414) $false
% 12.51/3.34 |
% 12.51/3.34 |-The branch is then unsatisfiable
% 12.51/3.34 |-Branch two:
% 12.51/3.34 | (1514) ~ (all_0_149_149 = e13)
% 12.51/3.34 | (1556) all_0_149_149 = e12 | all_0_149_149 = e11 | all_0_149_149 = e10
% 12.51/3.34 |
% 12.51/3.34 +-Applying beta-rule and splitting (362), into two cases.
% 12.51/3.34 |-Branch one:
% 12.51/3.34 | (1219) all_0_144_144 = e13
% 12.51/3.34 |
% 12.51/3.34 | Combining equations (1186,1219) yields a new equation:
% 12.51/3.34 | (1220) e13 = e12
% 12.51/3.34 |
% 12.51/3.34 | Equations (1220) can reduce 310 to:
% 12.51/3.34 | (414) $false
% 12.51/3.34 |
% 12.51/3.34 |-The branch is then unsatisfiable
% 12.51/3.34 |-Branch two:
% 12.51/3.34 | (1222) ~ (all_0_144_144 = e13)
% 12.51/3.34 | (1223) all_0_145_145 = e13 | all_0_146_146 = e13 | all_0_147_147 = e13
% 12.51/3.34 |
% 12.51/3.34 +-Applying beta-rule and splitting (1556), into two cases.
% 12.51/3.34 |-Branch one:
% 12.51/3.34 | (1301) all_0_149_149 = e11
% 12.51/3.34 |
% 12.51/3.34 | Equations (1301) can reduce 1249 to:
% 12.51/3.34 | (414) $false
% 12.51/3.34 |
% 12.51/3.34 |-The branch is then unsatisfiable
% 12.51/3.34 |-Branch two:
% 12.51/3.34 | (1249) ~ (all_0_149_149 = e11)
% 12.51/3.34 | (1565) all_0_149_149 = e12 | all_0_149_149 = e10
% 12.51/3.34 |
% 12.51/3.34 +-Applying beta-rule and splitting (1223), into two cases.
% 12.51/3.34 |-Branch one:
% 12.51/3.34 | (1224) all_0_145_145 = e13
% 12.51/3.34 |
% 12.51/3.34 | Combining equations (1340,1224) yields a new equation:
% 12.51/3.34 | (1233) e13 = e11
% 12.51/3.34 |
% 12.51/3.34 | Equations (1233) can reduce 375 to:
% 12.51/3.34 | (414) $false
% 12.51/3.34 |
% 12.51/3.34 |-The branch is then unsatisfiable
% 12.51/3.34 |-Branch two:
% 12.51/3.34 | (1483) ~ (all_0_145_145 = e13)
% 12.51/3.34 | (1484) all_0_146_146 = e13 | all_0_147_147 = e13
% 12.51/3.34 |
% 12.51/3.34 +-Applying beta-rule and splitting (1565), into two cases.
% 12.51/3.34 |-Branch one:
% 12.51/3.34 | (1571) all_0_149_149 = e10
% 12.51/3.34 |
% 12.51/3.34 | Equations (1571) can reduce 1172 to:
% 12.51/3.34 | (414) $false
% 12.51/3.34 |
% 12.51/3.34 |-The branch is then unsatisfiable
% 12.51/3.34 |-Branch two:
% 12.51/3.34 | (1172) ~ (all_0_149_149 = e10)
% 12.51/3.34 | (1272) all_0_149_149 = e12
% 12.51/3.34 |
% 12.51/3.34 | Equations (1272) can reduce 1249 to:
% 12.51/3.34 | (333) ~ (e12 = e11)
% 12.51/3.34 |
% 12.51/3.34 +-Applying beta-rule and splitting (1484), into two cases.
% 12.51/3.34 |-Branch one:
% 12.51/3.34 | (1485) all_0_146_146 = e13
% 12.51/3.34 |
% 12.51/3.34 | Equations (1485) can reduce 57 to:
% 12.51/3.34 | (1179) ~ (all_0_147_147 = e13)
% 12.51/3.34 |
% 12.51/3.34 | Simplifying 1179 yields:
% 12.51/3.34 | (1180) ~ (all_0_147_147 = e13)
% 12.51/3.34 |
% 12.51/3.34 | From (1485) and (81) follows:
% 12.51/3.34 | (1579) op1(e11, e13) = all_0_120_120
% 12.51/3.34 |
% 12.51/3.34 +-Applying beta-rule and splitting (222), into two cases.
% 12.51/3.34 |-Branch one:
% 12.51/3.34 | (1285) all_0_146_146 = e10
% 12.51/3.34 |
% 12.51/3.34 | Combining equations (1485,1285) yields a new equation:
% 12.51/3.34 | (1291) e13 = e10
% 12.51/3.34 |
% 12.51/3.34 | Simplifying 1291 yields:
% 12.51/3.34 | (1239) e13 = e10
% 12.51/3.34 |
% 12.51/3.34 | Equations (1239) can reduce 190 to:
% 12.51/3.34 | (414) $false
% 12.51/3.34 |
% 12.51/3.34 |-The branch is then unsatisfiable
% 12.51/3.34 |-Branch two:
% 12.51/3.34 | (1335) ~ (all_0_146_146 = e10)
% 12.51/3.34 | (1363) all_0_150_150 = e10
% 12.51/3.34 |
% 12.51/3.34 | Equations (1363) can reduce 1498 to:
% 12.51/3.34 | (1173) ~ (e11 = e10)
% 12.51/3.34 |
% 12.51/3.34 | Simplifying 1173 yields:
% 12.51/3.34 | (316) ~ (e11 = e10)
% 12.51/3.34 |
% 12.51/3.34 | From (1363) and (55) follows:
% 12.51/3.34 | (1588) op1(e10, e10) = all_0_121_121
% 12.51/3.34 |
% 12.51/3.34 +-Applying beta-rule and splitting (370), into two cases.
% 12.51/3.34 |-Branch one:
% 12.51/3.34 | (1589) all_0_145_145 = e10
% 12.51/3.34 |
% 12.51/3.34 | Combining equations (1589,1340) yields a new equation:
% 12.51/3.34 | (1324) e11 = e10
% 12.51/3.34 |
% 12.51/3.34 | Equations (1324) can reduce 316 to:
% 12.51/3.34 | (414) $false
% 12.51/3.34 |
% 12.51/3.34 |-The branch is then unsatisfiable
% 12.51/3.34 |-Branch two:
% 12.51/3.34 | (1170) ~ (all_0_145_145 = e10)
% 12.51/3.34 | (1593) all_0_146_146 = e10 | all_0_147_147 = e10
% 12.51/3.34 |
% 12.51/3.34 | Equations (1340) can reduce 1170 to:
% 12.51/3.34 | (316) ~ (e11 = e10)
% 12.51/3.35 |
% 12.51/3.35 +-Applying beta-rule and splitting (1295), into two cases.
% 12.51/3.35 |-Branch one:
% 12.51/3.35 | (1296) all_0_147_147 = e10
% 12.51/3.35 |
% 12.51/3.35 | Equations (1296) can reduce 1180 to:
% 12.51/3.35 | (1288) ~ (e13 = e10)
% 12.51/3.35 |
% 12.51/3.35 | Simplifying 1288 yields:
% 12.51/3.35 | (190) ~ (e13 = e10)
% 12.51/3.35 |
% 12.51/3.35 | Equations (1296) can reduce 1357 to:
% 12.51/3.35 | (1173) ~ (e11 = e10)
% 12.51/3.35 |
% 12.51/3.35 | Simplifying 1173 yields:
% 12.51/3.35 | (316) ~ (e11 = e10)
% 12.51/3.35 |
% 12.51/3.35 | Instantiating formula (270) with e12, e11, e11, all_0_119_119 and discharging atoms op1(e12, e11) = all_0_119_119, op1(e12, e11) = e11, yields:
% 12.51/3.35 | (1600) all_0_119_119 = e11
% 12.51/3.35 |
% 12.51/3.35 | Instantiating formula (270) with e11, e13, all_0_120_120, e12 and discharging atoms op1(e11, e13) = all_0_120_120, op1(e11, e13) = e12, yields:
% 12.51/3.35 | (1601) all_0_120_120 = e12
% 12.51/3.35 |
% 12.51/3.35 | Instantiating formula (270) with e10, e10, e11, all_0_121_121 and discharging atoms op1(e10, e10) = all_0_121_121, op1(e10, e10) = e11, yields:
% 12.51/3.35 | (1602) all_0_121_121 = e11
% 12.51/3.35 |
% 12.51/3.35 +-Applying beta-rule and splitting (282), into two cases.
% 12.51/3.35 |-Branch one:
% 12.51/3.35 | (1603) all_0_139_139 = e13
% 12.51/3.35 |
% 12.51/3.35 | Combining equations (1164,1603) yields a new equation:
% 12.51/3.35 | (1239) e13 = e10
% 12.51/3.35 |
% 12.51/3.35 | Equations (1239) can reduce 190 to:
% 12.51/3.35 | (414) $false
% 12.51/3.35 |
% 12.51/3.35 |-The branch is then unsatisfiable
% 12.51/3.35 |-Branch two:
% 12.51/3.35 | (1606) ~ (all_0_139_139 = e13)
% 12.51/3.35 | (1607) all_0_119_119 = e12 | all_0_120_120 = e11 | all_0_121_121 = e10
% 12.51/3.35 |
% 12.51/3.35 +-Applying beta-rule and splitting (1607), into two cases.
% 12.51/3.35 |-Branch one:
% 12.51/3.35 | (1608) all_0_120_120 = e11
% 12.51/3.35 |
% 12.51/3.35 | Combining equations (1601,1608) yields a new equation:
% 12.51/3.35 | (1263) e12 = e11
% 12.51/3.35 |
% 12.51/3.35 | Simplifying 1263 yields:
% 12.51/3.35 | (1264) e12 = e11
% 12.51/3.35 |
% 12.51/3.35 | Equations (1264) can reduce 333 to:
% 12.51/3.35 | (414) $false
% 12.51/3.35 |
% 12.51/3.35 |-The branch is then unsatisfiable
% 12.51/3.35 |-Branch two:
% 12.51/3.35 | (1612) ~ (all_0_120_120 = e11)
% 12.51/3.35 | (1613) all_0_119_119 = e12 | all_0_121_121 = e10
% 12.51/3.35 |
% 12.51/3.35 | Equations (1601) can reduce 1612 to:
% 12.51/3.35 | (333) ~ (e12 = e11)
% 12.51/3.35 |
% 12.51/3.35 +-Applying beta-rule and splitting (1613), into two cases.
% 12.51/3.35 |-Branch one:
% 12.51/3.35 | (1615) all_0_121_121 = e10
% 12.51/3.35 |
% 12.51/3.35 | Combining equations (1602,1615) yields a new equation:
% 12.51/3.35 | (1323) e11 = e10
% 12.51/3.35 |
% 12.51/3.35 | Simplifying 1323 yields:
% 12.51/3.35 | (1324) e11 = e10
% 12.51/3.35 |
% 12.51/3.35 | Equations (1324) can reduce 316 to:
% 12.51/3.35 | (414) $false
% 12.51/3.35 |
% 12.51/3.35 |-The branch is then unsatisfiable
% 12.51/3.35 |-Branch two:
% 12.51/3.35 | (1619) ~ (all_0_121_121 = e10)
% 12.51/3.35 | (1620) all_0_119_119 = e12
% 12.51/3.35 |
% 12.51/3.35 | Combining equations (1600,1620) yields a new equation:
% 12.51/3.35 | (1264) e12 = e11
% 12.51/3.35 |
% 12.51/3.35 | Equations (1264) can reduce 333 to:
% 12.51/3.35 | (414) $false
% 12.51/3.35 |
% 12.51/3.35 |-The branch is then unsatisfiable
% 12.51/3.35 |-Branch two:
% 12.51/3.35 | (1287) ~ (all_0_147_147 = e10)
% 12.51/3.35 | (1299) all_0_151_151 = e10
% 12.51/3.35 |
% 12.51/3.35 | Combining equations (1299,1358) yields a new equation:
% 12.51/3.35 | (1324) e11 = e10
% 12.51/3.35 |
% 12.51/3.35 | Equations (1324) can reduce 316 to:
% 12.51/3.35 | (414) $false
% 12.51/3.35 |
% 12.51/3.35 |-The branch is then unsatisfiable
% 12.51/3.35 |-Branch two:
% 12.51/3.35 | (1214) ~ (all_0_146_146 = e13)
% 12.51/3.35 | (1488) all_0_147_147 = e13
% 12.51/3.35 |
% 12.51/3.35 | Equations (1488) can reduce 1180 to:
% 12.51/3.35 | (414) $false
% 12.51/3.35 |
% 12.51/3.35 |-The branch is then unsatisfiable
% 12.51/3.35 |-Branch two:
% 12.51/3.35 | (1630) ~ (all_0_145_145 = e11)
% 12.51/3.35 | (1631) all_0_145_145 = e12 | all_0_145_145 = e10
% 12.51/3.35 |
% 12.51/3.35 +-Applying beta-rule and splitting (175), into two cases.
% 12.51/3.35 |-Branch one:
% 12.51/3.35 | (1632) all_0_150_150 = e13
% 12.51/3.35 |
% 12.51/3.35 | Equations (1632) can reduce 1197 to:
% 12.51/3.35 | (414) $false
% 12.51/3.35 |
% 12.51/3.35 |-The branch is then unsatisfiable
% 12.51/3.35 |-Branch two:
% 12.51/3.35 | (1197) ~ (all_0_150_150 = e13)
% 12.51/3.35 | (1635) all_0_150_150 = e11 | all_0_150_150 = e10
% 12.51/3.35 |
% 12.51/3.35 +-Applying beta-rule and splitting (1635), into two cases.
% 12.51/3.35 |-Branch one:
% 12.51/3.35 | (1327) all_0_150_150 = e11
% 12.51/3.35 |
% 12.51/3.35 | Equations (1327) can reduce 1498 to:
% 12.51/3.35 | (414) $false
% 12.51/3.35 |
% 12.51/3.35 |-The branch is then unsatisfiable
% 12.51/3.35 |-Branch two:
% 12.51/3.35 | (1498) ~ (all_0_150_150 = e11)
% 12.51/3.35 | (1363) all_0_150_150 = e10
% 12.51/3.35 |
% 12.51/3.35 | Equations (1363) can reduce 77 to:
% 12.51/3.35 | (1335) ~ (all_0_146_146 = e10)
% 12.51/3.35 |
% 12.51/3.35 | Equations (1363) can reduce 244 to:
% 12.51/3.35 | (1364) ~ (all_0_151_151 = e10)
% 12.51/3.35 |
% 12.51/3.35 | Simplifying 1364 yields:
% 12.51/3.35 | (1336) ~ (all_0_151_151 = e10)
% 12.51/3.35 |
% 12.51/3.35 +-Applying beta-rule and splitting (86), into two cases.
% 12.51/3.35 |-Branch one:
% 12.51/3.35 | (1485) all_0_146_146 = e13
% 12.51/3.35 |
% 12.51/3.35 | Equations (1485) can reduce 1335 to:
% 12.51/3.35 | (190) ~ (e13 = e10)
% 12.51/3.35 |
% 12.51/3.35 +-Applying beta-rule and splitting (372), into two cases.
% 12.51/3.35 |-Branch one:
% 12.51/3.35 | (1290) all_0_140_140 = e10
% 12.51/3.35 |
% 12.51/3.35 | Combining equations (1176,1290) yields a new equation:
% 12.51/3.35 | (1291) e13 = e10
% 12.51/3.35 |
% 12.51/3.35 | Simplifying 1291 yields:
% 12.51/3.35 | (1239) e13 = e10
% 12.51/3.35 |
% 12.51/3.35 | Equations (1239) can reduce 190 to:
% 12.51/3.35 | (414) $false
% 12.51/3.35 |
% 12.51/3.35 |-The branch is then unsatisfiable
% 12.51/3.35 |-Branch two:
% 12.51/3.35 | (1166) ~ (all_0_140_140 = e10)
% 12.51/3.35 | (1295) all_0_147_147 = e10 | all_0_151_151 = e10
% 12.51/3.35 |
% 12.51/3.35 +-Applying beta-rule and splitting (1295), into two cases.
% 12.51/3.35 |-Branch one:
% 12.51/3.35 | (1296) all_0_147_147 = e10
% 12.51/3.35 |
% 12.51/3.35 | Equations (1296) can reduce 83 to:
% 12.51/3.35 | (1170) ~ (all_0_145_145 = e10)
% 12.51/3.35 |
% 12.51/3.35 +-Applying beta-rule and splitting (1631), into two cases.
% 12.51/3.35 |-Branch one:
% 12.51/3.35 | (1589) all_0_145_145 = e10
% 12.51/3.35 |
% 12.51/3.35 | Equations (1589) can reduce 1170 to:
% 12.51/3.35 | (414) $false
% 12.51/3.35 |
% 12.51/3.35 |-The branch is then unsatisfiable
% 12.51/3.35 |-Branch two:
% 12.51/3.35 | (1170) ~ (all_0_145_145 = e10)
% 12.51/3.35 | (1268) all_0_145_145 = e12
% 12.51/3.35 |
% 12.51/3.35 | Equations (1268) can reduce 1188 to:
% 12.51/3.35 | (414) $false
% 12.51/3.35 |
% 12.51/3.35 |-The branch is then unsatisfiable
% 12.51/3.35 |-Branch two:
% 12.51/3.35 | (1287) ~ (all_0_147_147 = e10)
% 12.51/3.35 | (1299) all_0_151_151 = e10
% 12.51/3.35 |
% 12.51/3.35 | Equations (1299) can reduce 1336 to:
% 12.51/3.35 | (414) $false
% 12.51/3.35 |
% 12.51/3.35 |-The branch is then unsatisfiable
% 12.51/3.35 |-Branch two:
% 12.51/3.35 | (1214) ~ (all_0_146_146 = e13)
% 12.51/3.35 | (1662) all_0_146_146 = e11 | all_0_146_146 = e10
% 12.51/3.35 |
% 12.51/3.35 +-Applying beta-rule and splitting (1662), into two cases.
% 12.51/3.35 |-Branch one:
% 12.51/3.35 | (1322) all_0_146_146 = e11
% 12.51/3.35 |
% 12.51/3.35 | Equations (1322) can reduce 1326 to:
% 12.51/3.35 | (414) $false
% 12.51/3.35 |
% 12.51/3.35 |-The branch is then unsatisfiable
% 12.51/3.35 |-Branch two:
% 12.51/3.35 | (1326) ~ (all_0_146_146 = e11)
% 12.51/3.35 | (1285) all_0_146_146 = e10
% 12.51/3.35 |
% 12.51/3.35 | Equations (1285) can reduce 1335 to:
% 12.51/3.35 | (414) $false
% 12.51/3.35 |
% 12.51/3.35 |-The branch is then unsatisfiable
% 12.51/3.35 |-Branch two:
% 12.51/3.35 | (1226) ~ (all_0_141_141 = e13)
% 12.51/3.35 | (1669) all_0_141_141 = e12 | all_0_141_141 = e11
% 12.51/3.35 |
% 12.51/3.35 +-Applying beta-rule and splitting (1669), into two cases.
% 12.51/3.35 |-Branch one:
% 12.51/3.35 | (1247) all_0_141_141 = e11
% 12.51/3.35 |
% 12.51/3.35 | Equations (1247) can reduce 1473 to:
% 12.51/3.35 | (414) $false
% 12.51/3.35 |
% 12.51/3.35 |-The branch is then unsatisfiable
% 12.51/3.35 |-Branch two:
% 12.51/3.35 | (1473) ~ (all_0_141_141 = e11)
% 12.51/3.35 | (1262) all_0_141_141 = e12
% 12.51/3.35 |
% 12.51/3.35 | Equations (1262) can reduce 1243 to:
% 12.51/3.35 | (414) $false
% 12.51/3.35 |
% 12.51/3.35 |-The branch is then unsatisfiable
% 12.51/3.36 |-Branch two:
% 12.51/3.36 | (1675) ~ (all_0_148_148 = e13)
% 12.51/3.36 | (1256) all_0_148_148 = e12
% 12.51/3.36 |
% 12.51/3.36 | Equations (1256) can reduce 1190 to:
% 12.51/3.36 | (414) $false
% 12.51/3.36 |
% 12.51/3.36 |-The branch is then unsatisfiable
% 12.51/3.36 |-Branch two:
% 12.51/3.36 | (1678) ~ (all_0_144_144 = e12)
% 12.51/3.36 | (1256) all_0_148_148 = e12
% 12.51/3.36 |
% 12.51/3.36 | Equations (1256) can reduce 54 to:
% 12.51/3.36 | (1678) ~ (all_0_144_144 = e12)
% 12.51/3.36 |
% 12.51/3.36 | Equations (1256) can reduce 236 to:
% 12.51/3.36 | (333) ~ (e12 = e11)
% 12.51/3.36 |
% 12.51/3.36 | From (1256) and (185) follows:
% 12.51/3.36 | (1682) op1(e10, e12) = all_0_114_114
% 12.51/3.36 |
% 12.51/3.36 +-Applying beta-rule and splitting (173), into two cases.
% 12.51/3.36 |-Branch one:
% 12.51/3.36 | (1219) all_0_144_144 = e13
% 12.51/3.36 |
% 12.51/3.36 | Equations (1219) can reduce 180 to:
% 12.51/3.36 | (1511) ~ (all_0_145_145 = e13)
% 12.51/3.36 |
% 12.51/3.36 | Simplifying 1511 yields:
% 12.51/3.36 | (1483) ~ (all_0_145_145 = e13)
% 12.51/3.36 |
% 12.51/3.36 | Equations (1219) can reduce 289 to:
% 12.51/3.36 | (375) ~ (e13 = e11)
% 12.51/3.36 |
% 12.51/3.36 | From (1219) and (149) follows:
% 12.51/3.36 | (1687) op1(e11, e13) = all_0_113_113
% 12.51/3.36 |
% 12.51/3.36 | From (1219) and (281) follows:
% 12.51/3.36 | (1688) op1(e11, e13) = e13
% 12.51/3.36 |
% 12.51/3.36 | Instantiating formula (270) with e11, e13, e13, all_0_113_113 and discharging atoms op1(e11, e13) = all_0_113_113, op1(e11, e13) = e13, yields:
% 12.51/3.36 | (1225) all_0_113_113 = e13
% 12.51/3.36 |
% 12.51/3.36 | Instantiating formula (270) with e10, e12, all_0_114_114, all_0_149_149 and discharging atoms op1(e10, e12) = all_0_114_114, op1(e10, e12) = all_0_149_149, yields:
% 12.51/3.36 | (1690) all_0_114_114 = all_0_149_149
% 12.51/3.36 |
% 12.51/3.36 +-Applying beta-rule and splitting (274), into two cases.
% 12.51/3.36 |-Branch one:
% 12.51/3.36 | (1231) all_0_113_113 = e11
% 12.51/3.36 |
% 12.51/3.36 | Combining equations (1225,1231) yields a new equation:
% 12.51/3.36 | (1232) e13 = e11
% 12.51/3.36 |
% 12.51/3.36 | Simplifying 1232 yields:
% 12.51/3.36 | (1233) e13 = e11
% 12.51/3.36 |
% 12.51/3.36 | Equations (1233) can reduce 375 to:
% 12.51/3.36 | (414) $false
% 12.51/3.36 |
% 12.51/3.36 |-The branch is then unsatisfiable
% 12.51/3.36 |-Branch two:
% 12.51/3.36 | (1235) ~ (all_0_113_113 = e11)
% 12.51/3.36 | (1236) all_0_114_114 = e10 | all_0_143_143 = e12
% 12.51/3.36 |
% 12.51/3.36 +-Applying beta-rule and splitting (1236), into two cases.
% 12.51/3.36 |-Branch one:
% 12.51/3.36 | (1238) all_0_114_114 = e10
% 12.51/3.36 |
% 12.51/3.36 | Combining equations (1690,1238) yields a new equation:
% 12.51/3.36 | (1698) all_0_149_149 = e10
% 12.51/3.36 |
% 12.51/3.36 | Simplifying 1698 yields:
% 12.51/3.36 | (1571) all_0_149_149 = e10
% 12.51/3.36 |
% 12.51/3.36 | Equations (1571) can reduce 1172 to:
% 12.51/3.36 | (414) $false
% 12.51/3.36 |
% 12.51/3.36 |-The branch is then unsatisfiable
% 12.51/3.36 |-Branch two:
% 12.51/3.36 | (1241) ~ (all_0_114_114 = e10)
% 12.51/3.36 | (1242) all_0_143_143 = e12
% 12.51/3.36 |
% 12.51/3.36 | Equations (1242) can reduce 80 to:
% 12.51/3.36 | (1703) ~ (all_0_147_147 = e12)
% 12.51/3.36 |
% 12.51/3.36 | Simplifying 1703 yields:
% 12.51/3.36 | (1704) ~ (all_0_147_147 = e12)
% 12.51/3.36 |
% 12.51/3.36 | Equations (1242) can reduce 1178 to:
% 12.51/3.36 | (1244) ~ (e13 = e12)
% 12.51/3.36 |
% 12.51/3.36 | Simplifying 1244 yields:
% 12.51/3.36 | (310) ~ (e13 = e12)
% 12.51/3.36 |
% 12.51/3.36 +-Applying beta-rule and splitting (134), into two cases.
% 12.51/3.36 |-Branch one:
% 12.51/3.36 | (1186) all_0_144_144 = e12
% 12.51/3.36 |
% 12.51/3.36 | Combining equations (1219,1186) yields a new equation:
% 12.51/3.36 | (1708) e13 = e12
% 12.51/3.36 |
% 12.51/3.36 | Simplifying 1708 yields:
% 12.51/3.36 | (1220) e13 = e12
% 12.51/3.36 |
% 12.51/3.36 | Equations (1220) can reduce 310 to:
% 12.51/3.36 | (414) $false
% 12.51/3.36 |
% 12.51/3.36 |-The branch is then unsatisfiable
% 12.51/3.36 |-Branch two:
% 12.51/3.36 | (1678) ~ (all_0_144_144 = e12)
% 12.51/3.36 | (1712) all_0_145_145 = e12 | all_0_147_147 = e12
% 12.51/3.36 |
% 12.51/3.36 +-Applying beta-rule and splitting (1712), into two cases.
% 12.51/3.36 |-Branch one:
% 12.51/3.36 | (1268) all_0_145_145 = e12
% 12.51/3.36 |
% 12.51/3.36 | Equations (1268) can reduce 99 to:
% 12.51/3.36 | (1714) ~ (all_0_149_149 = e12)
% 12.51/3.36 |
% 12.51/3.36 | Simplifying 1714 yields:
% 12.51/3.36 | (1715) ~ (all_0_149_149 = e12)
% 12.51/3.36 |
% 12.51/3.36 | Equations (1268) can reduce 1483 to:
% 12.51/3.36 | (1244) ~ (e13 = e12)
% 12.51/3.36 |
% 12.51/3.36 | Simplifying 1244 yields:
% 12.51/3.36 | (310) ~ (e13 = e12)
% 12.51/3.36 |
% 12.51/3.36 +-Applying beta-rule and splitting (108), into two cases.
% 12.51/3.36 |-Branch one:
% 12.51/3.36 | (1330) (all_0_140_140 = e13 & all_0_148_148 = e13 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10)) | (all_0_142_142 = e11 & all_0_145_145 = e11 & ~ (all_0_141_141 = e12) & ~ (all_0_151_151 = e12)) | (all_0_143_143 = e12 & all_0_149_149 = e12 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10))
% 12.51/3.36 |
% 12.51/3.36 +-Applying beta-rule and splitting (1330), into two cases.
% 12.51/3.36 |-Branch one:
% 12.51/3.36 | (1331) (all_0_140_140 = e13 & all_0_148_148 = e13 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10)) | (all_0_142_142 = e11 & all_0_145_145 = e11 & ~ (all_0_141_141 = e12) & ~ (all_0_151_151 = e12))
% 12.51/3.36 |
% 12.51/3.36 +-Applying beta-rule and splitting (1331), into two cases.
% 12.51/3.36 |-Branch one:
% 12.51/3.36 | (1332) all_0_140_140 = e13 & all_0_148_148 = e13 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10)
% 12.51/3.36 |
% 12.51/3.36 | Applying alpha-rule on (1332) yields:
% 12.51/3.36 | (1176) all_0_140_140 = e13
% 12.51/3.36 | (1195) all_0_148_148 = e13
% 12.51/3.36 | (1335) ~ (all_0_146_146 = e10)
% 12.51/3.36 | (1336) ~ (all_0_151_151 = e10)
% 12.51/3.36 |
% 12.51/3.36 | Combining equations (1256,1195) yields a new equation:
% 12.51/3.36 | (1220) e13 = e12
% 12.51/3.36 |
% 12.51/3.36 | Equations (1220) can reduce 310 to:
% 12.51/3.36 | (414) $false
% 12.51/3.36 |
% 12.51/3.36 |-The branch is then unsatisfiable
% 12.51/3.36 |-Branch two:
% 12.51/3.36 | (1338) all_0_142_142 = e11 & all_0_145_145 = e11 & ~ (all_0_141_141 = e12) & ~ (all_0_151_151 = e12)
% 12.51/3.36 |
% 12.51/3.36 | Applying alpha-rule on (1338) yields:
% 12.51/3.36 | (1314) all_0_142_142 = e11
% 12.51/3.36 | (1340) all_0_145_145 = e11
% 12.51/3.36 | (1243) ~ (all_0_141_141 = e12)
% 12.51/3.36 | (1342) ~ (all_0_151_151 = e12)
% 12.51/3.36 |
% 12.51/3.36 | Combining equations (1268,1340) yields a new equation:
% 12.51/3.36 | (1263) e12 = e11
% 12.51/3.36 |
% 12.51/3.36 | Simplifying 1263 yields:
% 12.51/3.36 | (1264) e12 = e11
% 12.51/3.36 |
% 12.51/3.36 | Equations (1264) can reduce 333 to:
% 12.51/3.36 | (414) $false
% 12.51/3.36 |
% 12.51/3.36 |-The branch is then unsatisfiable
% 12.51/3.36 |-Branch two:
% 12.51/3.36 | (1345) all_0_143_143 = e12 & all_0_149_149 = e12 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10)
% 12.51/3.36 |
% 12.51/3.36 | Applying alpha-rule on (1345) yields:
% 12.51/3.36 | (1242) all_0_143_143 = e12
% 12.51/3.36 | (1272) all_0_149_149 = e12
% 12.51/3.36 | (1335) ~ (all_0_146_146 = e10)
% 12.51/3.36 | (1336) ~ (all_0_151_151 = e10)
% 12.51/3.36 |
% 12.51/3.36 | Equations (1272) can reduce 1715 to:
% 12.51/3.36 | (414) $false
% 12.51/3.36 |
% 12.51/3.36 |-The branch is then unsatisfiable
% 12.51/3.36 |-Branch two:
% 12.51/3.36 | (1351) all_0_147_147 = e11 & all_0_150_150 = e11 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10)
% 12.51/3.36 |
% 12.51/3.36 | Applying alpha-rule on (1351) yields:
% 12.51/3.36 | (1320) all_0_147_147 = e11
% 12.51/3.36 | (1327) all_0_150_150 = e11
% 12.51/3.36 | (1335) ~ (all_0_146_146 = e10)
% 12.51/3.36 | (1336) ~ (all_0_151_151 = e10)
% 12.51/3.36 |
% 12.51/3.36 +-Applying beta-rule and splitting (222), into two cases.
% 12.51/3.36 |-Branch one:
% 12.51/3.36 | (1285) all_0_146_146 = e10
% 12.51/3.36 |
% 12.51/3.36 | Equations (1285) can reduce 1335 to:
% 12.51/3.36 | (414) $false
% 12.51/3.36 |
% 12.51/3.36 |-The branch is then unsatisfiable
% 12.51/3.36 |-Branch two:
% 12.51/3.36 | (1335) ~ (all_0_146_146 = e10)
% 12.51/3.36 | (1363) all_0_150_150 = e10
% 12.51/3.36 |
% 12.51/3.36 | Combining equations (1363,1327) yields a new equation:
% 12.51/3.36 | (1324) e11 = e10
% 12.51/3.36 |
% 12.51/3.36 | Equations (1324) can reduce 316 to:
% 12.51/3.36 | (414) $false
% 12.51/3.36 |
% 12.51/3.36 |-The branch is then unsatisfiable
% 12.51/3.36 |-Branch two:
% 12.51/3.36 | (1188) ~ (all_0_145_145 = e12)
% 12.51/3.36 | (1753) all_0_147_147 = e12
% 12.51/3.36 |
% 12.51/3.36 | Equations (1753) can reduce 1704 to:
% 12.51/3.36 | (414) $false
% 12.51/3.36 |
% 12.51/3.36 |-The branch is then unsatisfiable
% 12.51/3.36 |-Branch two:
% 12.51/3.36 | (1222) ~ (all_0_144_144 = e13)
% 12.51/3.36 | (1186) all_0_144_144 = e12
% 12.51/3.36 |
% 12.51/3.36 | Equations (1186) can reduce 1678 to:
% 12.51/3.36 | (414) $false
% 12.51/3.36 |
% 12.51/3.36 |-The branch is then unsatisfiable
% 12.51/3.36 |-Branch two:
% 12.51/3.36 | (1758) ~ (all_0_140_140 = e13)
% 12.51/3.36 | (1290) all_0_140_140 = e10
% 12.51/3.36 |
% 12.51/3.36 | Equations (1290) can reduce 1166 to:
% 12.51/3.36 | (414) $false
% 12.51/3.36 |
% 12.51/3.36 |-The branch is then unsatisfiable
% 12.51/3.36 |-Branch two:
% 12.51/3.36 | (1761) ~ (all_0_139_139 = e10)
% 12.51/3.36 | (1290) all_0_140_140 = e10
% 12.51/3.36 |
% 12.51/3.36 | Equations (1290) can reduce 385 to:
% 12.51/3.36 | (1761) ~ (all_0_139_139 = e10)
% 12.51/3.36 |
% 12.51/3.36 | Equations (1290) can reduce 279 to:
% 12.51/3.37 | (1764) ~ (all_0_143_143 = e10)
% 12.51/3.37 |
% 12.51/3.37 | Simplifying 1764 yields:
% 12.51/3.37 | (129) ~ (all_0_143_143 = e10)
% 12.51/3.37 |
% 12.51/3.37 | Equations (1290) can reduce 383 to:
% 12.51/3.37 | (1286) ~ (all_0_147_147 = e10)
% 12.51/3.37 |
% 12.51/3.37 | Simplifying 1286 yields:
% 12.51/3.37 | (1287) ~ (all_0_147_147 = e10)
% 12.51/3.37 |
% 12.51/3.37 +-Applying beta-rule and splitting (62), into two cases.
% 12.51/3.37 |-Branch one:
% 12.51/3.37 | (1603) all_0_139_139 = e13
% 12.51/3.37 |
% 12.51/3.37 | Equations (1603) can reduce 69 to:
% 12.51/3.37 | (1769) ~ (all_0_141_141 = e13)
% 12.51/3.37 |
% 12.51/3.37 | Simplifying 1769 yields:
% 12.51/3.37 | (1226) ~ (all_0_141_141 = e13)
% 12.51/3.37 |
% 12.51/3.37 | Equations (1603) can reduce 207 to:
% 12.51/3.37 | (1511) ~ (all_0_145_145 = e13)
% 12.51/3.37 |
% 12.51/3.37 | Simplifying 1511 yields:
% 12.51/3.37 | (1483) ~ (all_0_145_145 = e13)
% 12.51/3.37 |
% 12.51/3.37 | From (1603) and (184) follows:
% 12.51/3.37 | (1773) op1(e13, e13) = all_0_115_115
% 12.51/3.37 |
% 12.51/3.37 | Instantiating formula (270) with e13, e13, all_0_115_115, e11 and discharging atoms op1(e13, e13) = all_0_115_115, op1(e13, e13) = e11, yields:
% 12.51/3.37 | (1774) all_0_115_115 = e11
% 12.51/3.37 |
% 12.51/3.37 +-Applying beta-rule and splitting (158), into two cases.
% 12.51/3.37 |-Branch one:
% 12.51/3.37 | (1210) all_0_142_142 = e13
% 12.51/3.37 |
% 12.51/3.37 | Equations (1210) can reduce 117 to:
% 12.51/3.37 | (1226) ~ (all_0_141_141 = e13)
% 12.51/3.37 |
% 12.51/3.37 | Equations (1210) can reduce 95 to:
% 12.51/3.37 | (1213) ~ (all_0_146_146 = e13)
% 12.51/3.37 |
% 12.51/3.37 | Simplifying 1213 yields:
% 12.51/3.37 | (1214) ~ (all_0_146_146 = e13)
% 12.51/3.37 |
% 12.51/3.37 | From (1210) and (178) follows:
% 12.51/3.37 | (1779) op1(e12, e11) = e13
% 12.51/3.37 |
% 12.51/3.37 +-Applying beta-rule and splitting (211), into two cases.
% 12.51/3.37 |-Branch one:
% 12.51/3.37 | (1219) all_0_144_144 = e13
% 12.51/3.37 |
% 12.51/3.37 | Equations (1219) can reduce 54 to:
% 12.51/3.37 | (1781) ~ (all_0_148_148 = e13)
% 12.51/3.37 |
% 12.51/3.37 | Simplifying 1781 yields:
% 12.51/3.37 | (1675) ~ (all_0_148_148 = e13)
% 12.51/3.37 |
% 12.51/3.37 | Equations (1219) can reduce 289 to:
% 12.51/3.37 | (375) ~ (e13 = e11)
% 12.51/3.37 |
% 12.51/3.37 +-Applying beta-rule and splitting (314), into two cases.
% 12.51/3.37 |-Branch one:
% 12.51/3.37 | (1195) all_0_148_148 = e13
% 12.51/3.37 |
% 12.51/3.37 | Equations (1195) can reduce 1675 to:
% 12.51/3.37 | (414) $false
% 12.51/3.37 |
% 12.51/3.37 |-The branch is then unsatisfiable
% 12.51/3.37 |-Branch two:
% 12.51/3.37 | (1675) ~ (all_0_148_148 = e13)
% 12.51/3.37 | (1256) all_0_148_148 = e12
% 12.51/3.37 |
% 12.51/3.37 | Equations (1256) can reduce 230 to:
% 12.51/3.37 | (1714) ~ (all_0_149_149 = e12)
% 12.51/3.37 |
% 12.51/3.37 | Simplifying 1714 yields:
% 12.51/3.37 | (1715) ~ (all_0_149_149 = e12)
% 12.51/3.37 |
% 12.51/3.37 | Equations (1256) can reduce 256 to:
% 12.51/3.37 | (153) ~ (e12 = e10)
% 12.51/3.37 |
% 12.51/3.37 +-Applying beta-rule and splitting (108), into two cases.
% 12.51/3.37 |-Branch one:
% 12.51/3.37 | (1330) (all_0_140_140 = e13 & all_0_148_148 = e13 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10)) | (all_0_142_142 = e11 & all_0_145_145 = e11 & ~ (all_0_141_141 = e12) & ~ (all_0_151_151 = e12)) | (all_0_143_143 = e12 & all_0_149_149 = e12 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10))
% 12.51/3.37 |
% 12.51/3.37 +-Applying beta-rule and splitting (1330), into two cases.
% 12.51/3.37 |-Branch one:
% 12.51/3.37 | (1331) (all_0_140_140 = e13 & all_0_148_148 = e13 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10)) | (all_0_142_142 = e11 & all_0_145_145 = e11 & ~ (all_0_141_141 = e12) & ~ (all_0_151_151 = e12))
% 12.51/3.37 |
% 12.51/3.37 +-Applying beta-rule and splitting (1331), into two cases.
% 12.51/3.37 |-Branch one:
% 12.51/3.37 | (1332) all_0_140_140 = e13 & all_0_148_148 = e13 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10)
% 12.51/3.37 |
% 12.51/3.37 | Applying alpha-rule on (1332) yields:
% 12.51/3.37 | (1176) all_0_140_140 = e13
% 12.51/3.37 | (1195) all_0_148_148 = e13
% 12.51/3.37 | (1335) ~ (all_0_146_146 = e10)
% 12.51/3.37 | (1336) ~ (all_0_151_151 = e10)
% 12.51/3.37 |
% 12.51/3.37 | Combining equations (1176,1290) yields a new equation:
% 12.51/3.37 | (1291) e13 = e10
% 12.51/3.37 |
% 12.51/3.37 | Simplifying 1291 yields:
% 12.51/3.37 | (1239) e13 = e10
% 12.51/3.37 |
% 12.51/3.37 | Combining equations (1195,1256) yields a new equation:
% 12.51/3.37 | (1708) e13 = e12
% 12.51/3.37 |
% 12.51/3.37 | Simplifying 1708 yields:
% 12.51/3.37 | (1220) e13 = e12
% 12.51/3.37 |
% 12.51/3.37 | Combining equations (1220,1239) yields a new equation:
% 12.51/3.37 | (1802) e12 = e10
% 12.51/3.37 |
% 12.51/3.37 | Simplifying 1802 yields:
% 12.51/3.37 | (1803) e12 = e10
% 12.51/3.37 |
% 12.51/3.37 | Equations (1803) can reduce 153 to:
% 12.51/3.37 | (414) $false
% 12.51/3.37 |
% 12.51/3.37 |-The branch is then unsatisfiable
% 12.51/3.37 |-Branch two:
% 12.51/3.37 | (1338) all_0_142_142 = e11 & all_0_145_145 = e11 & ~ (all_0_141_141 = e12) & ~ (all_0_151_151 = e12)
% 12.51/3.37 |
% 12.51/3.37 | Applying alpha-rule on (1338) yields:
% 12.51/3.37 | (1314) all_0_142_142 = e11
% 12.51/3.37 | (1340) all_0_145_145 = e11
% 12.51/3.37 | (1243) ~ (all_0_141_141 = e12)
% 12.51/3.37 | (1342) ~ (all_0_151_151 = e12)
% 12.51/3.37 |
% 12.51/3.37 | Combining equations (1210,1314) yields a new equation:
% 12.51/3.37 | (1232) e13 = e11
% 12.51/3.37 |
% 12.51/3.37 | Simplifying 1232 yields:
% 12.51/3.37 | (1233) e13 = e11
% 12.51/3.37 |
% 12.51/3.37 | Equations (1233) can reduce 375 to:
% 12.51/3.37 | (414) $false
% 12.51/3.37 |
% 12.51/3.37 |-The branch is then unsatisfiable
% 12.51/3.37 |-Branch two:
% 12.51/3.37 | (1345) all_0_143_143 = e12 & all_0_149_149 = e12 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10)
% 12.51/3.37 |
% 12.51/3.37 | Applying alpha-rule on (1345) yields:
% 12.51/3.37 | (1242) all_0_143_143 = e12
% 12.51/3.37 | (1272) all_0_149_149 = e12
% 12.51/3.37 | (1335) ~ (all_0_146_146 = e10)
% 12.51/3.37 | (1336) ~ (all_0_151_151 = e10)
% 12.51/3.37 |
% 12.51/3.37 | Equations (1272) can reduce 1715 to:
% 12.51/3.37 | (414) $false
% 12.51/3.37 |
% 12.51/3.37 |-The branch is then unsatisfiable
% 12.51/3.37 |-Branch two:
% 12.51/3.37 | (1351) all_0_147_147 = e11 & all_0_150_150 = e11 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10)
% 12.51/3.37 |
% 12.51/3.37 | Applying alpha-rule on (1351) yields:
% 12.51/3.37 | (1320) all_0_147_147 = e11
% 12.51/3.37 | (1327) all_0_150_150 = e11
% 12.51/3.37 | (1335) ~ (all_0_146_146 = e10)
% 12.51/3.37 | (1336) ~ (all_0_151_151 = e10)
% 12.51/3.37 |
% 12.51/3.37 | Equations (1320) can reduce 1287 to:
% 12.51/3.37 | (316) ~ (e11 = e10)
% 12.51/3.37 |
% 12.51/3.37 +-Applying beta-rule and splitting (222), into two cases.
% 12.51/3.37 |-Branch one:
% 12.51/3.37 | (1285) all_0_146_146 = e10
% 12.51/3.37 |
% 12.51/3.37 | Equations (1285) can reduce 1335 to:
% 12.51/3.37 | (414) $false
% 12.51/3.37 |
% 12.51/3.37 |-The branch is then unsatisfiable
% 12.51/3.37 |-Branch two:
% 12.51/3.37 | (1335) ~ (all_0_146_146 = e10)
% 12.51/3.37 | (1363) all_0_150_150 = e10
% 12.51/3.37 |
% 12.51/3.37 | Combining equations (1363,1327) yields a new equation:
% 12.51/3.37 | (1324) e11 = e10
% 12.51/3.37 |
% 12.51/3.37 | Equations (1324) can reduce 316 to:
% 12.51/3.37 | (414) $false
% 12.51/3.37 |
% 12.51/3.37 |-The branch is then unsatisfiable
% 12.51/3.37 |-Branch two:
% 12.51/3.37 | (1222) ~ (all_0_144_144 = e13)
% 12.51/3.37 | (1195) all_0_148_148 = e13
% 12.51/3.37 |
% 12.51/3.37 | Equations (1195) can reduce 54 to:
% 12.51/3.37 | (1222) ~ (all_0_144_144 = e13)
% 12.51/3.37 |
% 12.51/3.37 | Equations (1195) can reduce 230 to:
% 12.51/3.37 | (1513) ~ (all_0_149_149 = e13)
% 12.51/3.37 |
% 12.51/3.37 | Simplifying 1513 yields:
% 12.51/3.37 | (1514) ~ (all_0_149_149 = e13)
% 12.51/3.37 |
% 12.51/3.37 | Equations (1195) can reduce 236 to:
% 12.51/3.37 | (375) ~ (e13 = e11)
% 12.51/3.37 |
% 12.51/3.37 +-Applying beta-rule and splitting (173), into two cases.
% 12.51/3.37 |-Branch one:
% 12.51/3.37 | (1219) all_0_144_144 = e13
% 12.51/3.37 |
% 12.51/3.37 | Equations (1219) can reduce 1222 to:
% 12.51/3.37 | (414) $false
% 12.51/3.37 |
% 12.51/3.37 |-The branch is then unsatisfiable
% 12.51/3.37 |-Branch two:
% 12.51/3.37 | (1222) ~ (all_0_144_144 = e13)
% 12.51/3.37 | (1186) all_0_144_144 = e12
% 12.51/3.37 |
% 12.51/3.37 | Equations (1186) can reduce 1222 to:
% 12.51/3.37 | (1244) ~ (e13 = e12)
% 12.51/3.37 |
% 12.51/3.37 | Simplifying 1244 yields:
% 12.51/3.37 | (310) ~ (e13 = e12)
% 12.51/3.37 |
% 12.51/3.37 | Equations (1186) can reduce 289 to:
% 12.51/3.37 | (333) ~ (e12 = e11)
% 12.51/3.37 |
% 12.51/3.37 +-Applying beta-rule and splitting (362), into two cases.
% 12.51/3.37 |-Branch one:
% 12.51/3.37 | (1219) all_0_144_144 = e13
% 12.51/3.37 |
% 12.51/3.37 | Combining equations (1186,1219) yields a new equation:
% 12.51/3.37 | (1220) e13 = e12
% 12.51/3.37 |
% 12.51/3.37 | Equations (1220) can reduce 310 to:
% 12.51/3.37 | (414) $false
% 12.51/3.37 |
% 12.51/3.37 |-The branch is then unsatisfiable
% 12.51/3.37 |-Branch two:
% 12.51/3.37 | (1222) ~ (all_0_144_144 = e13)
% 12.51/3.37 | (1223) all_0_145_145 = e13 | all_0_146_146 = e13 | all_0_147_147 = e13
% 12.51/3.37 |
% 12.51/3.37 +-Applying beta-rule and splitting (1223), into two cases.
% 12.51/3.37 |-Branch one:
% 12.51/3.37 | (1224) all_0_145_145 = e13
% 12.51/3.37 |
% 12.51/3.37 | Equations (1224) can reduce 1483 to:
% 12.51/3.37 | (414) $false
% 12.51/3.37 |
% 12.51/3.37 |-The branch is then unsatisfiable
% 12.51/3.37 |-Branch two:
% 12.51/3.37 | (1483) ~ (all_0_145_145 = e13)
% 12.51/3.37 | (1484) all_0_146_146 = e13 | all_0_147_147 = e13
% 12.51/3.37 |
% 12.51/3.37 +-Applying beta-rule and splitting (1484), into two cases.
% 12.51/3.37 |-Branch one:
% 12.51/3.37 | (1485) all_0_146_146 = e13
% 12.51/3.37 |
% 12.51/3.37 | Equations (1485) can reduce 1214 to:
% 12.51/3.37 | (414) $false
% 12.51/3.37 |
% 12.51/3.37 |-The branch is then unsatisfiable
% 12.51/3.37 |-Branch two:
% 12.51/3.37 | (1214) ~ (all_0_146_146 = e13)
% 12.51/3.37 | (1488) all_0_147_147 = e13
% 12.51/3.37 |
% 12.51/3.37 | Equations (1488) can reduce 83 to:
% 12.51/3.37 | (1483) ~ (all_0_145_145 = e13)
% 12.51/3.37 |
% 12.51/3.37 | Equations (1488) can reduce 57 to:
% 12.51/3.37 | (1214) ~ (all_0_146_146 = e13)
% 12.51/3.37 |
% 12.51/3.38 | Equations (1488) can reduce 126 to:
% 12.51/3.38 | (1198) ~ (all_0_151_151 = e13)
% 12.51/3.38 |
% 12.51/3.38 | Simplifying 1198 yields:
% 12.51/3.38 | (1199) ~ (all_0_151_151 = e13)
% 12.51/3.38 |
% 12.51/3.38 | Equations (1488) can reduce 1287 to:
% 12.51/3.38 | (190) ~ (e13 = e10)
% 12.51/3.38 |
% 12.51/3.38 | From (1488) and (189) follows:
% 12.51/3.38 | (1862) op1(e11, e10) = e13
% 12.51/3.38 |
% 12.51/3.38 +-Applying beta-rule and splitting (108), into two cases.
% 12.51/3.38 |-Branch one:
% 12.51/3.38 | (1330) (all_0_140_140 = e13 & all_0_148_148 = e13 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10)) | (all_0_142_142 = e11 & all_0_145_145 = e11 & ~ (all_0_141_141 = e12) & ~ (all_0_151_151 = e12)) | (all_0_143_143 = e12 & all_0_149_149 = e12 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10))
% 12.51/3.38 |
% 12.51/3.38 +-Applying beta-rule and splitting (1330), into two cases.
% 12.51/3.38 |-Branch one:
% 12.51/3.38 | (1331) (all_0_140_140 = e13 & all_0_148_148 = e13 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10)) | (all_0_142_142 = e11 & all_0_145_145 = e11 & ~ (all_0_141_141 = e12) & ~ (all_0_151_151 = e12))
% 12.51/3.38 |
% 12.51/3.38 +-Applying beta-rule and splitting (1331), into two cases.
% 12.51/3.38 |-Branch one:
% 12.51/3.38 | (1332) all_0_140_140 = e13 & all_0_148_148 = e13 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10)
% 12.51/3.38 |
% 12.51/3.38 | Applying alpha-rule on (1332) yields:
% 12.51/3.38 | (1176) all_0_140_140 = e13
% 12.51/3.38 | (1195) all_0_148_148 = e13
% 12.51/3.38 | (1335) ~ (all_0_146_146 = e10)
% 12.51/3.38 | (1336) ~ (all_0_151_151 = e10)
% 12.51/3.38 |
% 12.51/3.38 | Combining equations (1176,1290) yields a new equation:
% 12.51/3.38 | (1291) e13 = e10
% 12.51/3.38 |
% 12.51/3.38 | Simplifying 1291 yields:
% 12.51/3.38 | (1239) e13 = e10
% 12.51/3.38 |
% 12.51/3.38 | Equations (1239) can reduce 190 to:
% 12.51/3.38 | (414) $false
% 12.51/3.38 |
% 12.51/3.38 |-The branch is then unsatisfiable
% 12.51/3.38 |-Branch two:
% 12.51/3.38 | (1338) all_0_142_142 = e11 & all_0_145_145 = e11 & ~ (all_0_141_141 = e12) & ~ (all_0_151_151 = e12)
% 12.51/3.38 |
% 12.51/3.38 | Applying alpha-rule on (1338) yields:
% 12.51/3.38 | (1314) all_0_142_142 = e11
% 12.51/3.38 | (1340) all_0_145_145 = e11
% 12.51/3.38 | (1243) ~ (all_0_141_141 = e12)
% 12.51/3.38 | (1342) ~ (all_0_151_151 = e12)
% 12.51/3.38 |
% 12.51/3.38 | Combining equations (1210,1314) yields a new equation:
% 12.51/3.38 | (1232) e13 = e11
% 12.51/3.38 |
% 12.51/3.38 | Simplifying 1232 yields:
% 12.51/3.38 | (1233) e13 = e11
% 12.51/3.38 |
% 12.51/3.38 | Equations (1233) can reduce 375 to:
% 12.51/3.38 | (414) $false
% 12.51/3.38 |
% 12.51/3.38 |-The branch is then unsatisfiable
% 12.51/3.38 |-Branch two:
% 12.51/3.38 | (1345) all_0_143_143 = e12 & all_0_149_149 = e12 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10)
% 12.51/3.38 |
% 12.51/3.38 | Applying alpha-rule on (1345) yields:
% 12.51/3.38 | (1242) all_0_143_143 = e12
% 12.51/3.38 | (1272) all_0_149_149 = e12
% 12.51/3.38 | (1335) ~ (all_0_146_146 = e10)
% 12.51/3.38 | (1336) ~ (all_0_151_151 = e10)
% 12.51/3.38 |
% 12.51/3.38 | Equations (1272) can reduce 227 to:
% 12.51/3.38 | (1243) ~ (all_0_141_141 = e12)
% 12.51/3.38 |
% 12.51/3.38 | Equations (1272) can reduce 99 to:
% 12.51/3.38 | (1188) ~ (all_0_145_145 = e12)
% 12.51/3.38 |
% 12.51/3.38 | Equations (1272) can reduce 1514 to:
% 12.51/3.38 | (1244) ~ (e13 = e12)
% 12.51/3.38 |
% 12.51/3.38 | Simplifying 1244 yields:
% 12.51/3.38 | (310) ~ (e13 = e12)
% 12.51/3.38 |
% 12.51/3.38 | From (1272) and (167) follows:
% 12.51/3.38 | (1890) op1(e10, e12) = all_0_118_118
% 12.51/3.38 |
% 12.51/3.38 | From (1272) and (103) follows:
% 12.51/3.38 | (1891) op1(e10, e12) = e12
% 12.51/3.38 |
% 12.51/3.38 +-Applying beta-rule and splitting (336), into two cases.
% 12.51/3.38 |-Branch one:
% 12.51/3.38 | (1510) all_0_141_141 = e13
% 12.51/3.38 |
% 12.51/3.38 | Equations (1510) can reduce 1226 to:
% 12.51/3.38 | (414) $false
% 12.51/3.38 |
% 12.51/3.38 |-The branch is then unsatisfiable
% 12.51/3.38 |-Branch two:
% 12.51/3.38 | (1226) ~ (all_0_141_141 = e13)
% 12.51/3.38 | (1669) all_0_141_141 = e12 | all_0_141_141 = e11
% 12.51/3.38 |
% 12.51/3.38 +-Applying beta-rule and splitting (100), into two cases.
% 12.51/3.38 |-Branch one:
% 12.51/3.38 | (1308) all_0_143_143 = e11
% 12.51/3.38 |
% 12.51/3.38 | Combining equations (1242,1308) yields a new equation:
% 12.51/3.38 | (1263) e12 = e11
% 12.51/3.38 |
% 12.51/3.38 | Simplifying 1263 yields:
% 12.51/3.38 | (1264) e12 = e11
% 12.51/3.38 |
% 12.51/3.38 | Equations (1264) can reduce 333 to:
% 12.51/3.38 | (414) $false
% 12.51/3.38 |
% 12.51/3.38 |-The branch is then unsatisfiable
% 12.51/3.38 |-Branch two:
% 12.51/3.38 | (1312) ~ (all_0_143_143 = e11)
% 12.51/3.38 | (1313) all_0_147_147 = e11 | all_0_151_151 = e11
% 12.51/3.38 |
% 12.51/3.38 +-Applying beta-rule and splitting (139), into two cases.
% 12.51/3.38 |-Branch one:
% 12.51/3.38 | (1247) all_0_141_141 = e11
% 12.51/3.38 |
% 12.51/3.38 | Equations (1247) can reduce 224 to:
% 12.51/3.38 | (1903) ~ (all_0_145_145 = e11)
% 12.51/3.38 |
% 12.51/3.38 | Simplifying 1903 yields:
% 12.51/3.38 | (1630) ~ (all_0_145_145 = e11)
% 12.51/3.38 |
% 12.51/3.38 | Equations (1247) can reduce 1226 to:
% 12.51/3.38 | (1250) ~ (e13 = e11)
% 12.51/3.38 |
% 12.51/3.38 | Simplifying 1250 yields:
% 12.51/3.38 | (375) ~ (e13 = e11)
% 12.51/3.38 |
% 12.51/3.38 | From (1247) and (188) follows:
% 12.51/3.38 | (1907) op1(e12, e11) = all_0_116_116
% 12.51/3.38 |
% 12.51/3.38 +-Applying beta-rule and splitting (86), into two cases.
% 12.51/3.38 |-Branch one:
% 12.51/3.38 | (1485) all_0_146_146 = e13
% 12.51/3.38 |
% 12.51/3.38 | Equations (1485) can reduce 1214 to:
% 12.51/3.38 | (414) $false
% 12.51/3.38 |
% 12.51/3.38 |-The branch is then unsatisfiable
% 12.51/3.38 |-Branch two:
% 12.51/3.38 | (1214) ~ (all_0_146_146 = e13)
% 12.51/3.38 | (1662) all_0_146_146 = e11 | all_0_146_146 = e10
% 12.51/3.38 |
% 12.51/3.38 +-Applying beta-rule and splitting (369), into two cases.
% 12.51/3.38 |-Branch one:
% 12.51/3.38 | (1224) all_0_145_145 = e13
% 12.51/3.38 |
% 12.51/3.38 | Equations (1224) can reduce 1483 to:
% 12.51/3.38 | (414) $false
% 12.51/3.38 |
% 12.51/3.38 |-The branch is then unsatisfiable
% 12.51/3.38 |-Branch two:
% 12.51/3.38 | (1483) ~ (all_0_145_145 = e13)
% 12.51/3.38 | (1520) all_0_145_145 = e12 | all_0_145_145 = e11 | all_0_145_145 = e10
% 12.51/3.38 |
% 12.51/3.38 +-Applying beta-rule and splitting (277), into two cases.
% 12.51/3.38 |-Branch one:
% 12.51/3.38 | (1340) all_0_145_145 = e11
% 12.51/3.38 |
% 12.51/3.38 | Equations (1340) can reduce 1630 to:
% 12.51/3.38 | (414) $false
% 12.51/3.38 |
% 12.51/3.38 |-The branch is then unsatisfiable
% 12.51/3.38 |-Branch two:
% 12.51/3.38 | (1630) ~ (all_0_145_145 = e11)
% 12.51/3.38 | (1919) all_0_146_146 = e11 | all_0_147_147 = e11
% 12.51/3.38 |
% 12.51/3.38 +-Applying beta-rule and splitting (1520), into two cases.
% 12.51/3.38 |-Branch one:
% 12.51/3.38 | (1340) all_0_145_145 = e11
% 12.51/3.38 |
% 12.51/3.38 | Equations (1340) can reduce 1630 to:
% 12.51/3.38 | (414) $false
% 12.51/3.38 |
% 12.51/3.38 |-The branch is then unsatisfiable
% 12.51/3.38 |-Branch two:
% 12.51/3.38 | (1630) ~ (all_0_145_145 = e11)
% 12.51/3.38 | (1631) all_0_145_145 = e12 | all_0_145_145 = e10
% 12.51/3.38 |
% 12.51/3.38 +-Applying beta-rule and splitting (1919), into two cases.
% 12.51/3.38 |-Branch one:
% 12.51/3.38 | (1322) all_0_146_146 = e11
% 12.51/3.38 |
% 12.51/3.38 | Equations (1322) can reduce 1214 to:
% 12.51/3.38 | (1250) ~ (e13 = e11)
% 12.51/3.38 |
% 12.51/3.38 | Simplifying 1250 yields:
% 12.51/3.38 | (375) ~ (e13 = e11)
% 12.51/3.38 |
% 12.51/3.38 +-Applying beta-rule and splitting (1631), into two cases.
% 12.51/3.38 |-Branch one:
% 12.51/3.38 | (1589) all_0_145_145 = e10
% 12.51/3.38 |
% 12.51/3.38 | Equations (1589) can reduce 1188 to:
% 12.51/3.38 | (1928) ~ (e12 = e10)
% 12.51/3.38 |
% 12.51/3.38 | Simplifying 1928 yields:
% 12.51/3.38 | (153) ~ (e12 = e10)
% 12.51/3.38 |
% 12.51/3.38 | From (1589) and (17) follows:
% 12.51/3.38 | (1930) op1(e11, e10) = all_0_117_117
% 12.51/3.38 |
% 12.51/3.38 +-Applying beta-rule and splitting (1313), into two cases.
% 12.51/3.38 |-Branch one:
% 12.51/3.38 | (1320) all_0_147_147 = e11
% 12.51/3.38 |
% 12.51/3.38 | Combining equations (1488,1320) yields a new equation:
% 12.51/3.38 | (1232) e13 = e11
% 12.51/3.38 |
% 12.51/3.38 | Simplifying 1232 yields:
% 12.51/3.38 | (1233) e13 = e11
% 12.51/3.38 |
% 12.51/3.38 | Equations (1233) can reduce 375 to:
% 12.51/3.38 | (414) $false
% 12.51/3.38 |
% 12.51/3.38 |-The branch is then unsatisfiable
% 12.51/3.38 |-Branch two:
% 12.51/3.38 | (1357) ~ (all_0_147_147 = e11)
% 12.51/3.38 | (1358) all_0_151_151 = e11
% 12.51/3.38 |
% 12.51/3.38 | Equations (1358) can reduce 1199 to:
% 12.51/3.38 | (1250) ~ (e13 = e11)
% 12.51/3.38 |
% 12.51/3.38 | Simplifying 1250 yields:
% 12.51/3.38 | (375) ~ (e13 = e11)
% 12.51/3.38 |
% 12.51/3.38 | Instantiating formula (270) with e12, e11, all_0_116_116, e13 and discharging atoms op1(e12, e11) = all_0_116_116, op1(e12, e11) = e13, yields:
% 12.51/3.38 | (1939) all_0_116_116 = e13
% 12.51/3.38 |
% 12.51/3.38 | Instantiating formula (270) with e11, e10, e13, all_0_117_117 and discharging atoms op1(e11, e10) = all_0_117_117, op1(e11, e10) = e13, yields:
% 12.51/3.38 | (1940) all_0_117_117 = e13
% 12.51/3.38 |
% 12.51/3.38 | Instantiating formula (270) with e10, e12, e12, all_0_118_118 and discharging atoms op1(e10, e12) = all_0_118_118, op1(e10, e12) = e12, yields:
% 12.51/3.38 | (1941) all_0_118_118 = e12
% 12.51/3.38 |
% 12.51/3.38 +-Applying beta-rule and splitting (393), into two cases.
% 12.51/3.38 |-Branch one:
% 12.51/3.38 | (1942) all_0_115_115 = e13
% 12.51/3.38 |
% 12.51/3.38 | Combining equations (1942,1774) yields a new equation:
% 12.51/3.38 | (1232) e13 = e11
% 12.51/3.38 |
% 12.51/3.38 | Simplifying 1232 yields:
% 12.51/3.38 | (1233) e13 = e11
% 12.51/3.38 |
% 12.51/3.38 | Equations (1233) can reduce 375 to:
% 12.51/3.38 | (414) $false
% 12.51/3.38 |
% 12.51/3.38 |-The branch is then unsatisfiable
% 12.51/3.38 |-Branch two:
% 12.51/3.38 | (1946) ~ (all_0_115_115 = e13)
% 12.51/3.38 | (1947) all_0_116_116 = e12 | all_0_117_117 = e11 | all_0_118_118 = e10
% 12.51/3.38 |
% 12.51/3.38 | Equations (1774) can reduce 1946 to:
% 12.51/3.38 | (1250) ~ (e13 = e11)
% 12.51/3.38 |
% 12.51/3.38 | Simplifying 1250 yields:
% 12.51/3.38 | (375) ~ (e13 = e11)
% 12.51/3.38 |
% 12.51/3.38 +-Applying beta-rule and splitting (1947), into two cases.
% 12.51/3.38 |-Branch one:
% 12.51/3.38 | (1950) all_0_117_117 = e11
% 12.51/3.38 |
% 12.51/3.38 | Combining equations (1950,1940) yields a new equation:
% 12.51/3.39 | (1233) e13 = e11
% 12.51/3.39 |
% 12.51/3.39 | Equations (1233) can reduce 375 to:
% 12.51/3.39 | (414) $false
% 12.51/3.39 |
% 12.51/3.39 |-The branch is then unsatisfiable
% 12.51/3.39 |-Branch two:
% 12.51/3.39 | (1953) ~ (all_0_117_117 = e11)
% 12.51/3.39 | (1954) all_0_116_116 = e12 | all_0_118_118 = e10
% 12.51/3.39 |
% 12.51/3.39 +-Applying beta-rule and splitting (1954), into two cases.
% 12.51/3.39 |-Branch one:
% 12.51/3.39 | (1955) all_0_118_118 = e10
% 12.51/3.39 |
% 12.51/3.39 | Combining equations (1955,1941) yields a new equation:
% 12.51/3.39 | (1803) e12 = e10
% 12.51/3.39 |
% 12.51/3.39 | Equations (1803) can reduce 153 to:
% 12.51/3.39 | (414) $false
% 12.51/3.39 |
% 12.51/3.39 |-The branch is then unsatisfiable
% 12.51/3.39 |-Branch two:
% 12.51/3.39 | (1958) ~ (all_0_118_118 = e10)
% 12.51/3.39 | (1959) all_0_116_116 = e12
% 12.51/3.39 |
% 12.51/3.39 | Combining equations (1959,1939) yields a new equation:
% 12.51/3.39 | (1220) e13 = e12
% 12.51/3.39 |
% 12.51/3.39 | Equations (1220) can reduce 310 to:
% 12.51/3.39 | (414) $false
% 12.51/3.39 |
% 12.51/3.39 |-The branch is then unsatisfiable
% 12.51/3.39 |-Branch two:
% 12.51/3.39 | (1170) ~ (all_0_145_145 = e10)
% 12.51/3.39 | (1268) all_0_145_145 = e12
% 12.51/3.39 |
% 12.51/3.39 | Equations (1268) can reduce 1188 to:
% 12.51/3.39 | (414) $false
% 12.51/3.39 |
% 12.51/3.39 |-The branch is then unsatisfiable
% 12.51/3.39 |-Branch two:
% 12.51/3.39 | (1326) ~ (all_0_146_146 = e11)
% 12.51/3.39 | (1320) all_0_147_147 = e11
% 12.51/3.39 |
% 12.51/3.39 | Combining equations (1488,1320) yields a new equation:
% 12.51/3.39 | (1232) e13 = e11
% 12.51/3.39 |
% 12.51/3.39 | Simplifying 1232 yields:
% 12.51/3.39 | (1233) e13 = e11
% 12.51/3.39 |
% 12.51/3.39 | Equations (1233) can reduce 375 to:
% 12.51/3.39 | (414) $false
% 12.51/3.39 |
% 12.51/3.39 |-The branch is then unsatisfiable
% 12.51/3.39 |-Branch two:
% 12.51/3.39 | (1473) ~ (all_0_141_141 = e11)
% 12.51/3.39 | (1474) all_0_142_142 = e11 | all_0_143_143 = e11
% 12.51/3.39 |
% 12.51/3.39 +-Applying beta-rule and splitting (1669), into two cases.
% 12.51/3.39 |-Branch one:
% 12.51/3.39 | (1247) all_0_141_141 = e11
% 12.51/3.39 |
% 12.51/3.39 | Equations (1247) can reduce 1473 to:
% 12.51/3.39 | (414) $false
% 12.51/3.39 |
% 12.51/3.39 |-The branch is then unsatisfiable
% 12.51/3.39 |-Branch two:
% 12.51/3.39 | (1473) ~ (all_0_141_141 = e11)
% 12.51/3.39 | (1262) all_0_141_141 = e12
% 12.51/3.39 |
% 12.51/3.39 | Equations (1262) can reduce 1243 to:
% 12.51/3.39 | (414) $false
% 12.51/3.39 |
% 12.51/3.39 |-The branch is then unsatisfiable
% 12.51/3.39 |-Branch two:
% 12.51/3.39 | (1351) all_0_147_147 = e11 & all_0_150_150 = e11 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10)
% 12.51/3.39 |
% 12.51/3.39 | Applying alpha-rule on (1351) yields:
% 12.51/3.39 | (1320) all_0_147_147 = e11
% 12.51/3.39 | (1327) all_0_150_150 = e11
% 12.51/3.39 | (1335) ~ (all_0_146_146 = e10)
% 12.51/3.39 | (1336) ~ (all_0_151_151 = e10)
% 12.51/3.39 |
% 12.51/3.39 | Combining equations (1320,1488) yields a new equation:
% 12.51/3.39 | (1233) e13 = e11
% 12.51/3.39 |
% 12.51/3.39 | Equations (1233) can reduce 375 to:
% 12.51/3.39 | (414) $false
% 12.51/3.39 |
% 12.51/3.39 |-The branch is then unsatisfiable
% 12.51/3.39 |-Branch two:
% 12.51/3.39 | (1490) ~ (all_0_142_142 = e13)
% 12.51/3.39 | (1314) all_0_142_142 = e11
% 12.51/3.39 |
% 12.51/3.39 | Equations (1314) can reduce 117 to:
% 12.51/3.39 | (1473) ~ (all_0_141_141 = e11)
% 12.51/3.39 |
% 12.51/3.39 | Equations (1314) can reduce 7 to:
% 12.51/3.39 | (1497) ~ (all_0_150_150 = e11)
% 12.51/3.39 |
% 12.51/3.39 | Simplifying 1497 yields:
% 12.51/3.39 | (1498) ~ (all_0_150_150 = e11)
% 12.51/3.39 |
% 12.51/3.39 | Equations (1314) can reduce 1490 to:
% 12.51/3.39 | (1250) ~ (e13 = e11)
% 12.51/3.39 |
% 12.51/3.39 | Simplifying 1250 yields:
% 12.51/3.39 | (375) ~ (e13 = e11)
% 12.51/3.39 |
% 12.51/3.39 +-Applying beta-rule and splitting (336), into two cases.
% 12.51/3.39 |-Branch one:
% 12.51/3.39 | (1510) all_0_141_141 = e13
% 12.51/3.39 |
% 12.51/3.39 | Equations (1510) can reduce 1226 to:
% 12.51/3.39 | (414) $false
% 12.51/3.39 |
% 12.51/3.39 |-The branch is then unsatisfiable
% 12.51/3.39 |-Branch two:
% 12.51/3.39 | (1226) ~ (all_0_141_141 = e13)
% 12.51/3.39 | (1669) all_0_141_141 = e12 | all_0_141_141 = e11
% 12.51/3.39 |
% 12.51/3.39 +-Applying beta-rule and splitting (109), into two cases.
% 12.51/3.39 |-Branch one:
% 12.51/3.39 | (1510) all_0_141_141 = e13
% 12.51/3.39 |
% 12.51/3.39 | Equations (1510) can reduce 1226 to:
% 12.51/3.39 | (414) $false
% 12.51/3.39 |
% 12.51/3.39 |-The branch is then unsatisfiable
% 12.51/3.39 |-Branch two:
% 12.51/3.39 | (1226) ~ (all_0_141_141 = e13)
% 12.51/3.39 | (1998) all_0_142_142 = e13 | all_0_143_143 = e13
% 12.51/3.39 |
% 12.51/3.39 +-Applying beta-rule and splitting (1669), into two cases.
% 12.51/3.39 |-Branch one:
% 12.51/3.39 | (1247) all_0_141_141 = e11
% 12.51/3.39 |
% 12.51/3.39 | Equations (1247) can reduce 1473 to:
% 12.51/3.39 | (414) $false
% 12.51/3.39 |
% 12.51/3.39 |-The branch is then unsatisfiable
% 12.51/3.39 |-Branch two:
% 12.51/3.39 | (1473) ~ (all_0_141_141 = e11)
% 12.51/3.39 | (1262) all_0_141_141 = e12
% 12.51/3.39 |
% 12.51/3.39 | Equations (1262) can reduce 89 to:
% 12.51/3.39 | (2003) ~ (all_0_143_143 = e12)
% 12.51/3.39 |
% 12.51/3.39 | Simplifying 2003 yields:
% 12.51/3.39 | (2004) ~ (all_0_143_143 = e12)
% 12.51/3.39 |
% 12.51/3.39 +-Applying beta-rule and splitting (1998), into two cases.
% 12.51/3.39 |-Branch one:
% 12.51/3.39 | (1210) all_0_142_142 = e13
% 12.51/3.39 |
% 12.51/3.39 | Combining equations (1210,1314) yields a new equation:
% 12.51/3.39 | (1232) e13 = e11
% 12.51/3.39 |
% 12.51/3.39 | Simplifying 1232 yields:
% 12.51/3.39 | (1233) e13 = e11
% 12.51/3.39 |
% 12.51/3.39 | Equations (1233) can reduce 375 to:
% 12.51/3.39 | (414) $false
% 12.51/3.39 |
% 12.51/3.39 |-The branch is then unsatisfiable
% 12.51/3.39 |-Branch two:
% 12.51/3.39 | (1490) ~ (all_0_142_142 = e13)
% 12.51/3.39 | (1501) all_0_143_143 = e13
% 12.51/3.39 |
% 12.51/3.39 | Equations (1501) can reduce 2004 to:
% 12.51/3.39 | (310) ~ (e13 = e12)
% 12.51/3.39 |
% 12.51/3.39 | Equations (1501) can reduce 129 to:
% 12.51/3.39 | (190) ~ (e13 = e10)
% 12.51/3.39 |
% 12.51/3.39 +-Applying beta-rule and splitting (108), into two cases.
% 12.51/3.39 |-Branch one:
% 12.51/3.39 | (1330) (all_0_140_140 = e13 & all_0_148_148 = e13 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10)) | (all_0_142_142 = e11 & all_0_145_145 = e11 & ~ (all_0_141_141 = e12) & ~ (all_0_151_151 = e12)) | (all_0_143_143 = e12 & all_0_149_149 = e12 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10))
% 12.51/3.39 |
% 12.51/3.39 +-Applying beta-rule and splitting (1330), into two cases.
% 12.51/3.39 |-Branch one:
% 12.51/3.39 | (1331) (all_0_140_140 = e13 & all_0_148_148 = e13 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10)) | (all_0_142_142 = e11 & all_0_145_145 = e11 & ~ (all_0_141_141 = e12) & ~ (all_0_151_151 = e12))
% 12.51/3.39 |
% 12.51/3.39 +-Applying beta-rule and splitting (1331), into two cases.
% 12.51/3.39 |-Branch one:
% 12.51/3.39 | (1332) all_0_140_140 = e13 & all_0_148_148 = e13 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10)
% 12.51/3.39 |
% 12.51/3.39 | Applying alpha-rule on (1332) yields:
% 12.51/3.39 | (1176) all_0_140_140 = e13
% 12.51/3.39 | (1195) all_0_148_148 = e13
% 12.51/3.39 | (1335) ~ (all_0_146_146 = e10)
% 12.51/3.39 | (1336) ~ (all_0_151_151 = e10)
% 12.51/3.39 |
% 12.51/3.39 | Combining equations (1176,1290) yields a new equation:
% 12.51/3.39 | (1291) e13 = e10
% 12.51/3.39 |
% 12.51/3.39 | Simplifying 1291 yields:
% 12.51/3.39 | (1239) e13 = e10
% 12.51/3.39 |
% 12.51/3.39 | Equations (1239) can reduce 190 to:
% 12.51/3.39 | (414) $false
% 12.51/3.39 |
% 12.51/3.39 |-The branch is then unsatisfiable
% 12.51/3.39 |-Branch two:
% 12.51/3.39 | (1338) all_0_142_142 = e11 & all_0_145_145 = e11 & ~ (all_0_141_141 = e12) & ~ (all_0_151_151 = e12)
% 12.51/3.39 |
% 12.51/3.39 | Applying alpha-rule on (1338) yields:
% 12.51/3.39 | (1314) all_0_142_142 = e11
% 12.51/3.39 | (1340) all_0_145_145 = e11
% 12.51/3.39 | (1243) ~ (all_0_141_141 = e12)
% 12.51/3.39 | (1342) ~ (all_0_151_151 = e12)
% 12.51/3.39 |
% 12.51/3.39 | Equations (1262) can reduce 1243 to:
% 12.51/3.39 | (414) $false
% 12.51/3.39 |
% 12.51/3.39 |-The branch is then unsatisfiable
% 12.51/3.39 |-Branch two:
% 12.51/3.39 | (1345) all_0_143_143 = e12 & all_0_149_149 = e12 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10)
% 12.51/3.39 |
% 12.51/3.39 | Applying alpha-rule on (1345) yields:
% 12.51/3.39 | (1242) all_0_143_143 = e12
% 12.51/3.39 | (1272) all_0_149_149 = e12
% 12.51/3.39 | (1335) ~ (all_0_146_146 = e10)
% 12.51/3.39 | (1336) ~ (all_0_151_151 = e10)
% 12.51/3.39 |
% 12.51/3.39 | Combining equations (1501,1242) yields a new equation:
% 12.51/3.39 | (1708) e13 = e12
% 12.51/3.39 |
% 12.51/3.39 | Simplifying 1708 yields:
% 12.51/3.39 | (1220) e13 = e12
% 12.51/3.39 |
% 12.51/3.39 | Equations (1220) can reduce 310 to:
% 12.51/3.39 | (414) $false
% 12.51/3.39 |
% 12.51/3.39 |-The branch is then unsatisfiable
% 12.51/3.39 |-Branch two:
% 12.51/3.40 | (1351) all_0_147_147 = e11 & all_0_150_150 = e11 & ~ (all_0_146_146 = e10) & ~ (all_0_151_151 = e10)
% 12.51/3.40 |
% 12.51/3.40 | Applying alpha-rule on (1351) yields:
% 12.51/3.40 | (1320) all_0_147_147 = e11
% 12.51/3.40 | (1327) all_0_150_150 = e11
% 12.51/3.40 | (1335) ~ (all_0_146_146 = e10)
% 12.51/3.40 | (1336) ~ (all_0_151_151 = e10)
% 12.51/3.40 |
% 12.51/3.40 | Equations (1327) can reduce 1498 to:
% 12.51/3.40 | (414) $false
% 12.51/3.40 |
% 12.51/3.40 |-The branch is then unsatisfiable
% 12.51/3.40 |-Branch two:
% 12.51/3.40 | (1606) ~ (all_0_139_139 = e13)
% 12.51/3.40 | (1164) all_0_139_139 = e10
% 12.51/3.40 |
% 12.51/3.40 | Equations (1164) can reduce 1761 to:
% 12.51/3.40 | (414) $false
% 12.51/3.40 |
% 12.51/3.40 |-The branch is then unsatisfiable
% 12.51/3.40 |-Branch two:
% 12.51/3.40 | (892) ~ (all_0_138_138 = e21)
% 12.51/3.40 | (893) all_0_138_138 = e23 | all_0_138_138 = e22 | all_0_138_138 = e20
% 12.51/3.40 |
% 12.51/3.40 +-Applying beta-rule and splitting (644), into two cases.
% 12.51/3.40 |-Branch one:
% 12.51/3.40 | (466) all_0_134_134 = e21
% 12.51/3.40 |
% 12.51/3.40 | Combining equations (466,665) yields a new equation:
% 12.51/3.40 | (655) e21 = e20
% 12.51/3.40 |
% 12.51/3.40 | Simplifying 655 yields:
% 12.51/3.40 | (656) e21 = e20
% 12.51/3.40 |
% 12.51/3.40 | Equations (656) can reduce 346 to:
% 12.51/3.40 | (414) $false
% 12.51/3.40 |
% 12.51/3.40 |-The branch is then unsatisfiable
% 12.51/3.40 |-Branch two:
% 12.51/3.40 | (576) ~ (all_0_134_134 = e21)
% 12.51/3.40 | (648) all_0_138_138 = e21
% 12.51/3.40 |
% 12.51/3.40 | Equations (648) can reduce 892 to:
% 12.51/3.40 | (414) $false
% 12.51/3.40 |
% 12.51/3.40 |-The branch is then unsatisfiable
% 12.51/3.40 |-Branch two:
% 12.51/3.40 | (768) ~ (all_0_134_134 = e20)
% 12.51/3.40 | (894) all_0_138_138 = e20
% 12.51/3.40 |
% 12.51/3.40 | Equations (894) can reduce 431 to:
% 12.51/3.40 | (414) $false
% 12.51/3.40 |
% 12.51/3.40 |-The branch is then unsatisfiable
% 12.51/3.40 |-Branch two:
% 12.51/3.40 | (885) ~ (all_0_133_133 = e21)
% 12.51/3.40 | (886) all_0_133_133 = e23 | all_0_133_133 = e20
% 12.51/3.40 |
% 12.51/3.40 +-Applying beta-rule and splitting (102), into two cases.
% 12.51/3.40 |-Branch one:
% 12.51/3.40 | (435) all_0_132_132 = e21
% 12.51/3.40 |
% 12.51/3.40 | Combining equations (604,435) yields a new equation:
% 12.51/3.40 | (418) e23 = e21
% 12.51/3.40 |
% 12.51/3.40 | Simplifying 418 yields:
% 12.51/3.40 | (419) e23 = e21
% 12.51/3.40 |
% 12.51/3.40 | Equations (419) can reduce 299 to:
% 12.51/3.40 | (414) $false
% 12.51/3.40 |
% 12.51/3.40 |-The branch is then unsatisfiable
% 12.51/3.40 |-Branch two:
% 12.51/3.40 | (696) ~ (all_0_132_132 = e21)
% 12.51/3.40 | (1084) all_0_133_133 = e21 | all_0_134_134 = e21
% 12.51/3.40 |
% 12.51/3.40 +-Applying beta-rule and splitting (231), into two cases.
% 12.51/3.40 |-Branch one:
% 12.51/3.40 | (537) all_0_136_136 = e21
% 12.51/3.40 |
% 12.51/3.40 | Combining equations (447,537) yields a new equation:
% 12.51/3.40 | (611) e22 = e21
% 12.51/3.40 |
% 12.51/3.40 | Simplifying 611 yields:
% 12.51/3.40 | (444) e22 = e21
% 12.51/3.40 |
% 12.51/3.40 | Equations (444) can reduce 255 to:
% 12.51/3.40 | (414) $false
% 12.51/3.40 |
% 12.51/3.40 |-The branch is then unsatisfiable
% 12.51/3.40 |-Branch two:
% 12.51/3.40 | (536) ~ (all_0_136_136 = e21)
% 12.51/3.40 | (615) all_0_137_137 = e21 | all_0_138_138 = e21
% 12.51/3.40 |
% 12.51/3.40 +-Applying beta-rule and splitting (615), into two cases.
% 12.51/3.40 |-Branch one:
% 12.51/3.40 | (467) all_0_137_137 = e21
% 12.51/3.40 |
% 12.51/3.40 | Combining equations (627,467) yields a new equation:
% 12.51/3.40 | (656) e21 = e20
% 12.51/3.40 |
% 12.51/3.40 | Equations (656) can reduce 346 to:
% 12.51/3.40 | (414) $false
% 12.51/3.40 |
% 12.51/3.40 |-The branch is then unsatisfiable
% 12.51/3.40 |-Branch two:
% 12.51/3.40 | (402) ~ (all_0_137_137 = e21)
% 12.51/3.40 | (648) all_0_138_138 = e21
% 12.51/3.40 |
% 12.51/3.40 | Equations (648) can reduce 52 to:
% 12.51/3.40 | (576) ~ (all_0_134_134 = e21)
% 12.51/3.40 |
% 12.51/3.40 +-Applying beta-rule and splitting (1084), into two cases.
% 12.51/3.40 |-Branch one:
% 12.51/3.40 | (838) all_0_133_133 = e21
% 12.51/3.40 |
% 12.51/3.40 | Equations (838) can reduce 885 to:
% 12.51/3.40 | (414) $false
% 12.51/3.40 |
% 12.51/3.40 |-The branch is then unsatisfiable
% 12.51/3.40 |-Branch two:
% 12.51/3.40 | (885) ~ (all_0_133_133 = e21)
% 12.51/3.40 | (466) all_0_134_134 = e21
% 12.51/3.40 |
% 12.51/3.40 | Equations (466) can reduce 576 to:
% 12.51/3.40 | (414) $false
% 12.51/3.40 |
% 12.51/3.40 |-The branch is then unsatisfiable
% 12.51/3.40 |-Branch two:
% 12.51/3.40 | (438) ~ (all_0_128_128 = e21)
% 12.51/3.40 | (2084) all_0_132_132 = e21 | all_0_136_136 = e21
% 12.51/3.40 |
% 12.51/3.40 +-Applying beta-rule and splitting (2084), into two cases.
% 12.51/3.40 |-Branch one:
% 12.51/3.40 | (435) all_0_132_132 = e21
% 12.51/3.40 |
% 12.84/3.40 | Combining equations (604,435) yields a new equation:
% 12.84/3.40 | (418) e23 = e21
% 12.84/3.40 |
% 12.84/3.40 | Simplifying 418 yields:
% 12.84/3.40 | (419) e23 = e21
% 12.84/3.40 |
% 12.84/3.40 | Equations (419) can reduce 299 to:
% 12.84/3.40 | (414) $false
% 12.84/3.40 |
% 12.84/3.40 |-The branch is then unsatisfiable
% 12.84/3.40 |-Branch two:
% 12.84/3.40 | (696) ~ (all_0_132_132 = e21)
% 12.84/3.40 | (537) all_0_136_136 = e21
% 12.84/3.40 |
% 12.84/3.40 | Combining equations (537,447) yields a new equation:
% 12.84/3.40 | (444) e22 = e21
% 12.84/3.40 |
% 12.84/3.40 | Equations (444) can reduce 255 to:
% 12.84/3.40 | (414) $false
% 12.84/3.40 |
% 12.84/3.40 |-The branch is then unsatisfiable
% 12.84/3.40 |-Branch two:
% 12.84/3.40 | (493) ~ (all_0_132_132 = e23)
% 12.84/3.40 | (545) all_0_136_136 = e23
% 12.84/3.40 |
% 12.84/3.40 | Equations (545) can reduce 495 to:
% 12.84/3.40 | (414) $false
% 12.84/3.40 |
% 12.84/3.40 |-The branch is then unsatisfiable
% 12.84/3.40 |-Branch two:
% 12.84/3.40 | (515) ~ (all_0_131_131 = e22)
% 12.84/3.40 | (516) all_0_135_135 = e22
% 12.84/3.40 |
% 12.84/3.40 | Combining equations (429,516) yields a new equation:
% 12.84/3.40 | (512) e23 = e22
% 12.84/3.40 |
% 12.84/3.40 | Simplifying 512 yields:
% 12.84/3.40 | (463) e23 = e22
% 12.84/3.40 |
% 12.84/3.40 | Equations (463) can reduce 24 to:
% 12.84/3.40 | (414) $false
% 12.84/3.40 |
% 12.84/3.40 |-The branch is then unsatisfiable
% 12.84/3.40 |-Branch two:
% 12.84/3.40 | (510) ~ (all_0_135_135 = e23)
% 12.84/3.40 | (516) all_0_135_135 = e22
% 12.84/3.40 |
% 12.84/3.40 | Equations (516) can reduce 226 to:
% 12.84/3.40 | (515) ~ (all_0_131_131 = e22)
% 12.84/3.40 |
% 12.84/3.40 | Equations (516) can reduce 368 to:
% 12.84/3.40 | (517) ~ (all_0_136_136 = e22)
% 12.84/3.40 |
% 12.84/3.40 | Simplifying 517 yields:
% 12.84/3.40 | (518) ~ (all_0_136_136 = e22)
% 12.84/3.40 |
% 12.84/3.40 | Equations (516) can reduce 510 to:
% 12.84/3.40 | (502) ~ (e23 = e22)
% 12.84/3.40 |
% 12.84/3.40 | Simplifying 502 yields:
% 12.84/3.40 | (24) ~ (e23 = e22)
% 12.84/3.40 |
% 12.84/3.40 +-Applying beta-rule and splitting (105), into two cases.
% 12.84/3.40 |-Branch one:
% 12.84/3.40 | (429) all_0_135_135 = e23
% 12.84/3.40 |
% 12.84/3.40 | Combining equations (516,429) yields a new equation:
% 12.84/3.40 | (463) e23 = e22
% 12.84/3.40 |
% 12.84/3.40 | Equations (463) can reduce 24 to:
% 12.84/3.40 | (414) $false
% 12.84/3.40 |
% 12.84/3.40 |-The branch is then unsatisfiable
% 12.84/3.40 |-Branch two:
% 12.84/3.40 | (510) ~ (all_0_135_135 = e23)
% 12.84/3.40 | (2112) all_0_136_136 = e23 | all_0_137_137 = e23 | all_0_138_138 = e23
% 12.84/3.40 |
% 12.84/3.40 +-Applying beta-rule and splitting (2112), into two cases.
% 12.84/3.40 |-Branch one:
% 12.84/3.40 | (545) all_0_136_136 = e23
% 12.84/3.40 |
% 12.84/3.40 | Equations (545) can reduce 518 to:
% 12.84/3.40 | (24) ~ (e23 = e22)
% 12.84/3.40 |
% 12.84/3.40 +-Applying beta-rule and splitting (371), into two cases.
% 12.84/3.40 |-Branch one:
% 12.84/3.40 | (508) all_0_131_131 = e23
% 12.84/3.40 |
% 12.84/3.40 | Equations (508) can reduce 515 to:
% 12.84/3.40 | (24) ~ (e23 = e22)
% 12.84/3.40 |
% 12.84/3.40 | Equations (508) can reduce 155 to:
% 12.84/3.40 | (299) ~ (e23 = e21)
% 12.84/3.40 |
% 12.84/3.40 +-Applying beta-rule and splitting (48), into two cases.
% 12.84/3.40 |-Branch one:
% 12.84/3.40 | (425) (all_0_127_127 = e23 & all_0_135_135 = e23 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)) | (all_0_129_129 = e21 & all_0_132_132 = e21 & ~ (all_0_128_128 = e22) & ~ (all_0_138_138 = e22)) | (all_0_130_130 = e22 & all_0_136_136 = e22 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20))
% 12.84/3.40 |
% 12.84/3.40 +-Applying beta-rule and splitting (425), into two cases.
% 12.84/3.40 |-Branch one:
% 12.84/3.40 | (426) (all_0_127_127 = e23 & all_0_135_135 = e23 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)) | (all_0_129_129 = e21 & all_0_132_132 = e21 & ~ (all_0_128_128 = e22) & ~ (all_0_138_138 = e22))
% 12.84/3.40 |
% 12.84/3.40 +-Applying beta-rule and splitting (426), into two cases.
% 12.84/3.40 |-Branch one:
% 12.84/3.40 | (427) all_0_127_127 = e23 & all_0_135_135 = e23 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)
% 12.84/3.40 |
% 12.84/3.40 | Applying alpha-rule on (427) yields:
% 12.84/3.40 | (428) all_0_127_127 = e23
% 12.84/3.40 | (429) all_0_135_135 = e23
% 12.84/3.40 | (430) ~ (all_0_133_133 = e20)
% 12.84/3.40 | (431) ~ (all_0_138_138 = e20)
% 12.84/3.40 |
% 12.84/3.40 | Combining equations (516,429) yields a new equation:
% 12.84/3.40 | (463) e23 = e22
% 12.84/3.40 |
% 12.84/3.40 | Equations (463) can reduce 24 to:
% 12.84/3.40 | (414) $false
% 12.84/3.40 |
% 12.84/3.40 |-The branch is then unsatisfiable
% 12.84/3.40 |-Branch two:
% 12.84/3.40 | (433) all_0_129_129 = e21 & all_0_132_132 = e21 & ~ (all_0_128_128 = e22) & ~ (all_0_138_138 = e22)
% 12.84/3.40 |
% 12.84/3.40 | Applying alpha-rule on (433) yields:
% 12.84/3.40 | (398) all_0_129_129 = e21
% 12.84/3.40 | (435) all_0_132_132 = e21
% 12.84/3.40 | (436) ~ (all_0_128_128 = e22)
% 12.84/3.40 | (437) ~ (all_0_138_138 = e22)
% 12.84/3.40 |
% 12.84/3.40 | Combining equations (398,417) yields a new equation:
% 12.84/3.40 | (419) e23 = e21
% 12.84/3.40 |
% 12.84/3.40 | Equations (419) can reduce 299 to:
% 12.84/3.40 | (414) $false
% 12.84/3.40 |
% 12.84/3.40 |-The branch is then unsatisfiable
% 12.84/3.40 |-Branch two:
% 12.84/3.40 | (458) all_0_130_130 = e22 & all_0_136_136 = e22 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)
% 12.84/3.40 |
% 12.84/3.40 | Applying alpha-rule on (458) yields:
% 12.84/3.40 | (459) all_0_130_130 = e22
% 12.84/3.40 | (447) all_0_136_136 = e22
% 12.84/3.40 | (430) ~ (all_0_133_133 = e20)
% 12.84/3.40 | (431) ~ (all_0_138_138 = e20)
% 12.84/3.40 |
% 12.84/3.40 | Combining equations (447,545) yields a new equation:
% 12.84/3.40 | (463) e23 = e22
% 12.84/3.40 |
% 12.84/3.40 | Equations (463) can reduce 24 to:
% 12.84/3.40 | (414) $false
% 12.84/3.40 |
% 12.84/3.40 |-The branch is then unsatisfiable
% 12.84/3.40 |-Branch two:
% 12.84/3.40 | (465) all_0_134_134 = e21 & all_0_137_137 = e21 & ~ (all_0_133_133 = e20) & ~ (all_0_138_138 = e20)
% 12.84/3.40 |
% 12.84/3.40 | Applying alpha-rule on (465) yields:
% 12.84/3.40 | (466) all_0_134_134 = e21
% 12.84/3.40 | (467) all_0_137_137 = e21
% 12.84/3.40 | (430) ~ (all_0_133_133 = e20)
% 12.84/3.40 | (431) ~ (all_0_138_138 = e20)
% 12.84/3.40 |
% 12.84/3.40 +-Applying beta-rule and splitting (297), into two cases.
% 12.84/3.40 |-Branch one:
% 12.84/3.40 | (623) all_0_133_133 = e20
% 12.84/3.40 |
% 12.84/3.40 | Equations (623) can reduce 430 to:
% 12.84/3.40 | (414) $false
% 12.84/3.40 |
% 12.84/3.40 |-The branch is then unsatisfiable
% 12.84/3.40 |-Branch two:
% 12.84/3.40 | (430) ~ (all_0_133_133 = e20)
% 12.84/3.40 | (627) all_0_137_137 = e20
% 12.84/3.40 |
% 12.84/3.40 | Combining equations (627,467) yields a new equation:
% 12.84/3.40 | (656) e21 = e20
% 12.84/3.40 |
% 12.84/3.40 | Equations (656) can reduce 346 to:
% 12.84/3.40 | (414) $false
% 12.84/3.40 |
% 12.84/3.40 |-The branch is then unsatisfiable
% 12.84/3.40 |-Branch two:
% 12.84/3.40 | (562) ~ (all_0_131_131 = e23)
% 12.84/3.40 | (429) all_0_135_135 = e23
% 12.84/3.40 |
% 12.84/3.40 | Combining equations (516,429) yields a new equation:
% 12.84/3.40 | (463) e23 = e22
% 12.84/3.40 |
% 12.84/3.40 | Equations (463) can reduce 24 to:
% 12.84/3.40 | (414) $false
% 12.84/3.40 |
% 12.84/3.40 |-The branch is then unsatisfiable
% 12.84/3.40 |-Branch two:
% 12.84/3.40 | (495) ~ (all_0_136_136 = e23)
% 12.84/3.40 | (2157) all_0_137_137 = e23 | all_0_138_138 = e23
% 12.84/3.40 |
% 12.84/3.40 +-Applying beta-rule and splitting (2157), into two cases.
% 12.84/3.40 |-Branch one:
% 12.84/3.40 | (2158) all_0_137_137 = e23
% 12.84/3.40 |
% 12.84/3.40 | Equations (2158) can reduce 621 to:
% 12.84/3.40 | (414) $false
% 12.84/3.40 |
% 12.84/3.40 |-The branch is then unsatisfiable
% 12.84/3.40 |-Branch two:
% 12.84/3.40 | (621) ~ (all_0_137_137 = e23)
% 12.84/3.40 | (898) all_0_138_138 = e23
% 12.84/3.40 |
% 12.84/3.40 | Equations (898) can reduce 794 to:
% 12.84/3.40 | (414) $false
% 12.84/3.40 |
% 12.84/3.40 |-The branch is then unsatisfiable
% 12.84/3.40 |-Branch two:
% 12.84/3.40 | (742) ~ (all_0_126_126 = e20)
% 12.84/3.40 | (408) all_0_126_126 = e23
% 12.84/3.40 |
% 12.84/3.40 | Equations (408) can reduce 471 to:
% 12.84/3.40 | (414) $false
% 12.84/3.40 |
% 12.84/3.40 |-The branch is then unsatisfiable
% 12.84/3.40 % SZS output end Proof for theBenchmark
% 12.84/3.40
% 12.84/3.40 2927ms
%------------------------------------------------------------------------------