TSTP Solution File: ALG119+1 by ePrincess---1.0
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- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG119+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n018.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 15:35:13 EDT 2022
% Result : Theorem 7.06s 2.12s
% Output : Proof 14.66s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.11 % Problem : ALG119+1 : TPTP v8.1.0. Released v2.7.0.
% 0.00/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Wed Jun 8 05:11:36 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.56/0.58 ____ _
% 0.56/0.58 ___ / __ \_____(_)___ ________ __________
% 0.56/0.58 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.56/0.58 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.56/0.58 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.56/0.58
% 0.56/0.58 A Theorem Prover for First-Order Logic
% 0.56/0.58 (ePrincess v.1.0)
% 0.56/0.58
% 0.56/0.58 (c) Philipp Rümmer, 2009-2015
% 0.56/0.58 (c) Peter Backeman, 2014-2015
% 0.56/0.58 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.56/0.58 Free software under GNU Lesser General Public License (LGPL).
% 0.56/0.58 Bug reports to peter@backeman.se
% 0.56/0.58
% 0.56/0.58 For more information, visit http://user.uu.se/~petba168/breu/
% 0.56/0.58
% 0.56/0.58 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.62/0.63 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.96/1.23 Prover 0: Preprocessing ...
% 5.19/1.73 Prover 0: Constructing countermodel ...
% 7.06/2.12 Prover 0: proved (1491ms)
% 7.06/2.12
% 7.06/2.12 No countermodel exists, formula is valid
% 7.06/2.12 % SZS status Theorem for theBenchmark
% 7.06/2.12
% 7.06/2.12 Generating proof ... found it (size 1515)
% 12.49/3.48
% 12.49/3.48 % SZS output start Proof for theBenchmark
% 12.49/3.48 Assumed formulas after preprocessing and simplification:
% 12.49/3.48 | (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] : ( ~ (v21 = v20) & ~ (v21 = v19) & ~ (v21 = v18) & ~ (v21 = v14) & ~ (v21 = e22) & ~ (v21 = e20) & ~ (v20 = v19) & ~ (v20 = v17) & ~ (v20 = v13) & ~ (v20 = e21) & ~ (v20 = e20) & ~ (v19 = v15) & ~ (v19 = v11) & ~ (v19 = e20) & ~ (v18 = v17) & ~ (v18 = v16) & ~ (v18 = v15) & ~ (v18 = v14) & ~ (v18 = e22) & ~ (v17 = v16) & ~ (v17 = v15) & ~ (v17 = v13) & ~ (v17 = e21) & ~ (v16 = v15) & ~ (v16 = v12) & ~ (v16 = e23) & ~ (v16 = e20) & ~ (v15 = v11) & ~ (v15 = e20) & ~ (v14 = v13) & ~ (v14 = v12) & ~ (v14 = v11) & ~ (v14 = e22) & ~ (v13 = v12) & ~ (v13 = v11) & ~ (v13 = e21) & ~ (v12 = v11) & ~ (v12 = e23) & ~ (v12 = e20) & ~ (v11 = e20) & ~ (v10 = v9) & ~ (v10 = v8) & ~ (v10 = v7) & ~ (v10 = v3) & ~ (v10 = e12) & ~ (v10 = e10) & ~ (v9 = v8) & ~ (v9 = v6) & ~ (v9 = v2) & ~ (v9 = e11) & ~ (v9 = e10) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v8 = e10) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v7 = e12) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v6 = e11) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v5 = e13) & ~ (v5 = e10) & ~ (v4 = v0) & ~ (v4 = e10) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v3 = e12) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v2 = e11) & ~ (v1 = v0) & ~ (v1 = e13) & ~ (v1 = e10) & ~ (v0 = e10) & ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e23 = e13) & ~ (e23 = e12) & ~ (e23 = e11) & ~ (e23 = e10) & ~ (e22 = e21) & ~ (e22 = e20) & ~ (e22 = e13) & ~ (e22 = e12) & ~ (e22 = e11) & ~ (e22 = e10) & ~ (e21 = e20) & ~ (e21 = e13) & ~ (e21 = e12) & ~ (e21 = e11) & ~ (e21 = e10) & ~ (e20 = e13) & ~ (e20 = e12) & ~ (e20 = e11) & ~ (e20 = e10) & ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = e10) & ~ (e11 = e10) & op1(e13, e13) = e12 & op1(e13, e12) = e11 & op1(e13, e11) = e13 & op1(e13, e10) = e10 & op1(e12, v10) = v32 & op1(e12, v9) = v31 & op1(e12, v8) = v30 & op1(e12, e13) = v10 & op1(e12, e12) = v9 & op1(e12, e11) = e10 & op1(e12, e10) = v8 & op1(e11, v7) = v29 & op1(e11, v6) = v28 & op1(e11, v5) = v27 & op1(e11, v4) = v26 & op1(e11, e13) = v7 & op1(e11, e12) = v6 & op1(e11, e11) = v5 & op1(e11, e10) = v4 & op1(e10, v3) = v25 & op1(e10, v2) = v24 & op1(e10, v1) = v23 & op1(e10, v0) = v22 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10) = v0 & h1(v10) = v68 & h1(v9) = v66 & h1(v8) = v63 & h1(v7) = v61 & h1(v6) = v59 & h1(v5) = v57 & h1(v4) = v55 & h1(v3) = v53 & h1(v2) = v51 & h1(v1) = v49 & h1(v0) = v47 & h1(e13) = e20 & h1(e12) = v11 & h1(e11) = v33 & h1(e10) = v44 & h2(v10) = v94 & h2(v9) = v92 & h2(v8) = v89 & h2(v7) = v87 & h2(v6) = v85 & h2(v5) = v83 & h2(v4) = v81 & h2(v3) = v79 & h2(v2) = v77 & h2(v1) = v75 & h2(v0) = v73 & h2(e13) = e21 & h2(e12) = v16 & h2(e11) = v38 & h2(e10) = v45 & h3(v10) = v120 & h3(v9) = v118 & h3(v8) = v115 & h3(v7) = v113 & h3(v6) = v111 & h3(v5) = v109 & h3(v4) = v107 & h3(v3) = v105 & h3(v2) = v103 & h3(v1) = v101 & h3(v0) = v99 & h3(e13) = e22 & h3(e12) = v20 & h3(e11) = v42 & h3(e10) = v46 & h4(v10) = v135 & h4(v9) = v134 & h4(v8) = v133 & h4(v7) = v132 & h4(v6) = v131 & h4(v5) = v130 & h4(v4) = v129 & h4(v3) = v128 & h4(v2) = v127 & h4(v1) = v126 & h4(v0) = v125 & h4(e13) = e23 & h4(e12) = e22 & h4(e11) = e21 & h4(e10) = e20 & op2(v46, v46) = v100 & op2(v46, v42) = v102 & op2(v46, v20) = v104 & op2(v46, e22) = v106 & op2(v45, v45) = v74 & op2(v45, v38) = v76 & op2(v45, v16) = v78 & op2(v45, e21) = v80 & op2(v44, v44) = v48 & op2(v44, v33) = v50 & op2(v44, v11) = v52 & op2(v44, e20) = v54 & op2(v42, v46) = v108 & op2(v42, v42) = v110 & op2(v42, v20) = v112 & op2(v42, e22) = v114 & op2(v38, v45) = v82 & op2(v38, v38) = v84 & op2(v38, v16) = v86 & op2(v38, e21) = v88 & op2(v33, v44) = v56 & op2(v33, v33) = v58 & op2(v33, v11) = v60 & op2(v33, e20) = v62 & op2(v20, v46) = v116 & op2(v20, v42) = v117 & op2(v20, v42) = v46 & op2(v20, v20) = v119 & op2(v20, e22) = v121 & op2(v16, v45) = v90 & op2(v16, v38) = v91 & op2(v16, v38) = v45 & op2(v16, v16) = v93 & op2(v16, e21) = v95 & op2(v11, v44) = v64 & op2(v11, v33) = v65 & op2(v11, v33) = v44 & op2(v11, v11) = v67 & op2(v11, e20) = v69 & op2(e23, e23) = e22 & op2(e23, e22) = e21 & op2(e23, e21) = e23 & op2(e23, e20) = e20 & op2(e22, v46) = v122 & op2(e22, v42) = v123 & op2(e22, v21) = v43 & op2(e22, v20) = v124 & op2(e22, v20) = v42 & op2(e22, v19) = v41 & op2(e22, e23) = v21 & op2(e22, e22) = v20 & op2(e22, e21) = e20 & op2(e22, e20) = v19 & op2(e21, v45) = v96 & op2(e21, v38) = v97 & op2(e21, v18) = v40 & op2(e21, v17) = v39 & op2(e21, v16) = v98 & op2(e21, v16) = v38 & op2(e21, v15) = v37 & op2(e21, e23) = v18 & op2(e21, e22) = v17 & op2(e21, e21) = v16 & op2(e21, e20) = v15 & op2(e20, v44) = v70 & op2(e20, v33) = v71 & op2(e20, v14) = v36 & op2(e20, v13) = v35 & op2(e20, v12) = v34 & op2(e20, v11) = v72 & op2(e20, v11) = v33 & op2(e20, e23) = v14 & op2(e20, e22) = v13 & op2(e20, e21) = v12 & op2(e20, e20) = v11 & ! [v136] : ! [v137] : ! [v138] : ! [v139] : (v137 = v136 | ~ (op1(v139, v138) = v137) | ~ (op1(v139, v138) = v136)) & ! [v136] : ! [v137] : ! [v138] : ! [v139] : (v137 = v136 | ~ (op2(v139, v138) = v137) | ~ (op2(v139, v138) = v136)) & ! [v136] : ! [v137] : ! [v138] : (v137 = v136 | ~ (h1(v138) = v137) | ~ (h1(v138) = v136)) & ! [v136] : ! [v137] : ! [v138] : (v137 = v136 | ~ (h2(v138) = v137) | ~ (h2(v138) = v136)) & ! [v136] : ! [v137] : ! [v138] : (v137 = v136 | ~ (h3(v138) = v137) | ~ (h3(v138) = v136)) & ! [v136] : ! [v137] : ! [v138] : (v137 = v136 | ~ (h4(v138) = v137) | ~ (h4(v138) = v136)) & ( ~ (v135 = v21) | ~ (v134 = v20) | ~ (v133 = v19) | ~ (v132 = v18) | ~ (v131 = v17) | ~ (v130 = v16) | ~ (v129 = v15) | ~ (v128 = v14) | ~ (v127 = v13) | ~ (v126 = v12) | ~ (v125 = v11)) & ( ~ (v124 = v42) | ~ (v123 = e22) | ~ (v122 = v46) | ~ (v121 = v120) | ~ (v119 = v118) | ~ (v117 = v46) | ~ (v116 = v115) | ~ (v114 = v113) | ~ (v112 = v111) | ~ (v110 = v109) | ~ (v108 = v107) | ~ (v106 = v105) | ~ (v104 = v103) | ~ (v102 = v101) | ~ (v100 = v99) | ( ~ (v46 = e23) & ~ (v42 = e23) & ~ (v20 = e23)) | ( ~ (v46 = e21) & ~ (v42 = e21)) | ( ~ (v46 = e20) & ~ (v42 = e20))) & ( ~ (v98 = v38) | ~ (v97 = e21) | ~ (v96 = v45) | ~ (v95 = v94) | ~ (v93 = v92) | ~ (v91 = v45) | ~ (v90 = v89) | ~ (v88 = v87) | ~ (v86 = v85) | ~ (v84 = v83) | ~ (v82 = v81) | ~ (v80 = v79) | ~ (v78 = v77) | ~ (v76 = v75) | ~ (v74 = v73) | ( ~ (v45 = e23) & ~ (v38 = e23)) | ( ~ (v45 = e22) & ~ (v38 = e22) & ~ (v16 = e22)) | ( ~ (v45 = e20) & ~ (v38 = e20))) & ( ~ (v72 = v33) | ~ (v71 = e20) | ~ (v70 = v44) | ~ (v69 = v68) | ~ (v67 = v66) | ~ (v65 = v44) | ~ (v64 = v63) | ~ (v62 = v61) | ~ (v60 = v59) | ~ (v58 = v57) | ~ (v56 = v55) | ~ (v54 = v53) | ~ (v52 = v51) | ~ (v50 = v49) | ~ (v48 = v47) | ( ~ (v44 = e23) & ~ (v33 = e23) & ~ (v11 = e23)) | ( ~ (v44 = e22) & ~ (v33 = e22) & ~ (v11 = e22)) | ( ~ (v44 = e21) & ~ (v33 = e21) & ~ (v11 = e21))) & (v43 = e23 | v42 = e22 | v41 = e20 | v19 = e21) & (v40 = e23 | v39 = e22 | v38 = e21 | v37 = e20) & (v36 = e23 | v35 = e22 | v34 = e21 | v33 = e20) & (v32 = e13 | v31 = e12 | v30 = e10 | v8 = e11) & (v29 = e13 | v28 = e12 | v27 = e11 | v26 = e10) & (v25 = e13 | v24 = e12 | v23 = e11 | v22 = e10) & (v21 = e23 | v21 = e21) & (v21 = e23 | v20 = e23 | v19 = e23) & (v21 = e23 | v18 = e23 | v14 = e23) & (v21 = e21 | v19 = e21) & (v21 = e21 | v18 = e21 | v14 = e21) & (v20 = e23 | v20 = e22) & (v20 = e23 | v17 = e23 | v13 = e23) & (v20 = e22 | v19 = e22) & (v20 = e22 | v17 = e22 | v13 = e22) & (v20 = e22 | (v20 = e23 & v14 = e20) | (v18 = e23 & v11 = e21) | (v16 = e21 & v11 = e21)) & (v19 = e23 | v19 = e22 | v19 = e21) & (v19 = e23 | v15 = e23 | v11 = e23) & (v19 = e22 | v15 = e22 | v11 = e22) & (v19 = e21 | v15 = e21 | v11 = e21) & (v18 = e23 | v18 = e21 | v18 = e20) & (v18 = e23 | v17 = e23 | v15 = e23) & (v18 = e21 | v16 = e21 | v15 = e21) & (v18 = e20 | v17 = e20) & (v18 = e20 | v14 = e20) & (v17 = e23 | v17 = e22 | v17 = e20) & (v17 = e22 | v16 = e22 | v15 = e22) & (v17 = e20 | v13 = e20) & (v16 = e22 | v16 = e21) & (v16 = e22 | v12 = e22) & (v16 = e21 | v12 = e21) & (v15 = e23 | v15 = e22 | v15 = e21) & (v14 = e23 | v14 = e21 | v14 = e20) & (v14 = e23 | v13 = e23 | v11 = e23) & (v14 = e21 | v12 = e21 | v11 = e21) & (v14 = e20 | v13 = e20) & (v13 = e23 | v13 = e22 | v13 = e20) & (v13 = e22 | v12 = e22 | v11 = e22) & (v12 = e22 | v12 = e21) & (v11 = e23 | v11 = e22 | v11 = e21) & (v10 = e13 | v10 = e11) & (v10 = e13 | v9 = e13 | v8 = e13) & (v10 = e13 | v7 = e13 | v3 = e13) & (v10 = e11 | v8 = e11) & (v10 = e11 | v7 = e11 | v3 = e11) & (v9 = e13 | v9 = e12) & (v9 = e13 | v6 = e13 | v2 = e13) & (v9 = e12 | v8 = e12) & (v9 = e12 | v6 = e12 | v2 = e12) & (v9 = e12 | (v9 = e13 & v3 = e10) | (v7 = e13 & v0 = e11) | (v5 = e11 & v0 = e11)) & (v8 = e13 | v8 = e12 | v8 = e11) & (v8 = e13 | v4 = e13 | v0 = e13) & (v8 = e12 | v4 = e12 | v0 = e12) & (v8 = e11 | v4 = e11 | v0 = e11) & (v7 = e13 | v7 = e11 | v7 = e10) & (v7 = e13 | v6 = e13 | v4 = e13) & (v7 = e11 | v5 = e11 | v4 = e11) & (v7 = e10 | v6 = e10) & (v7 = e10 | v3 = e10) & (v6 = e13 | v6 = e12 | v6 = e10) & (v6 = e12 | v5 = e12 | v4 = e12) & (v6 = e10 | v2 = e10) & (v5 = e12 | v5 = e11) & (v5 = e12 | v1 = e12) & (v5 = e11 | v1 = e11) & (v4 = e13 | v4 = e12 | v4 = e11) & (v3 = e13 | v3 = e11 | v3 = e10) & (v3 = e13 | v2 = e13 | v0 = e13) & (v3 = e11 | v1 = e11 | v0 = e11) & (v3 = e10 | v2 = e10) & (v2 = e13 | v2 = e12 | v2 = e10) & (v2 = e12 | v1 = e12 | v0 = e12) & (v1 = e12 | v1 = e11) & (v0 = e13 | v0 = e12 | v0 = e11) & (( ~ (v20 = e22) & ~ (v13 = e20)) | ( ~ (v19 = e22) & ~ (v15 = e21)) | ( ~ (v18 = e21) & ~ (v14 = e20))) & (( ~ (v9 = e12) & ~ (v2 = e10)) | ( ~ (v8 = e12) & ~ (v4 = e11)) | ( ~ (v7 = e11) & ~ (v3 = e10))))
% 12.95/3.53 | 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 yields:
% 12.95/3.53 | (1) ~ (all_0_114_114 = all_0_115_115) & ~ (all_0_114_114 = all_0_116_116) & ~ (all_0_114_114 = all_0_117_117) & ~ (all_0_114_114 = all_0_121_121) & ~ (all_0_114_114 = e22) & ~ (all_0_114_114 = e20) & ~ (all_0_115_115 = all_0_116_116) & ~ (all_0_115_115 = all_0_118_118) & ~ (all_0_115_115 = all_0_122_122) & ~ (all_0_115_115 = e21) & ~ (all_0_115_115 = e20) & ~ (all_0_116_116 = all_0_120_120) & ~ (all_0_116_116 = all_0_124_124) & ~ (all_0_116_116 = e20) & ~ (all_0_117_117 = all_0_118_118) & ~ (all_0_117_117 = all_0_119_119) & ~ (all_0_117_117 = all_0_120_120) & ~ (all_0_117_117 = all_0_121_121) & ~ (all_0_117_117 = e22) & ~ (all_0_118_118 = all_0_119_119) & ~ (all_0_118_118 = all_0_120_120) & ~ (all_0_118_118 = all_0_122_122) & ~ (all_0_118_118 = e21) & ~ (all_0_119_119 = all_0_120_120) & ~ (all_0_119_119 = all_0_123_123) & ~ (all_0_119_119 = e23) & ~ (all_0_119_119 = e20) & ~ (all_0_120_120 = all_0_124_124) & ~ (all_0_120_120 = e20) & ~ (all_0_121_121 = all_0_122_122) & ~ (all_0_121_121 = all_0_123_123) & ~ (all_0_121_121 = all_0_124_124) & ~ (all_0_121_121 = e22) & ~ (all_0_122_122 = all_0_123_123) & ~ (all_0_122_122 = all_0_124_124) & ~ (all_0_122_122 = e21) & ~ (all_0_123_123 = all_0_124_124) & ~ (all_0_123_123 = e23) & ~ (all_0_123_123 = e20) & ~ (all_0_124_124 = e20) & ~ (all_0_125_125 = all_0_126_126) & ~ (all_0_125_125 = all_0_127_127) & ~ (all_0_125_125 = all_0_128_128) & ~ (all_0_125_125 = all_0_132_132) & ~ (all_0_125_125 = e12) & ~ (all_0_125_125 = e10) & ~ (all_0_126_126 = all_0_127_127) & ~ (all_0_126_126 = all_0_129_129) & ~ (all_0_126_126 = all_0_133_133) & ~ (all_0_126_126 = e11) & ~ (all_0_126_126 = e10) & ~ (all_0_127_127 = all_0_131_131) & ~ (all_0_127_127 = all_0_135_135) & ~ (all_0_127_127 = e10) & ~ (all_0_128_128 = all_0_129_129) & ~ (all_0_128_128 = all_0_130_130) & ~ (all_0_128_128 = all_0_131_131) & ~ (all_0_128_128 = all_0_132_132) & ~ (all_0_128_128 = e12) & ~ (all_0_129_129 = all_0_130_130) & ~ (all_0_129_129 = all_0_131_131) & ~ (all_0_129_129 = all_0_133_133) & ~ (all_0_129_129 = e11) & ~ (all_0_130_130 = all_0_131_131) & ~ (all_0_130_130 = all_0_134_134) & ~ (all_0_130_130 = e13) & ~ (all_0_130_130 = e10) & ~ (all_0_131_131 = all_0_135_135) & ~ (all_0_131_131 = e10) & ~ (all_0_132_132 = all_0_133_133) & ~ (all_0_132_132 = all_0_134_134) & ~ (all_0_132_132 = all_0_135_135) & ~ (all_0_132_132 = e12) & ~ (all_0_133_133 = all_0_134_134) & ~ (all_0_133_133 = all_0_135_135) & ~ (all_0_133_133 = e11) & ~ (all_0_134_134 = all_0_135_135) & ~ (all_0_134_134 = e13) & ~ (all_0_134_134 = e10) & ~ (all_0_135_135 = e10) & ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e23 = e13) & ~ (e23 = e12) & ~ (e23 = e11) & ~ (e23 = e10) & ~ (e22 = e21) & ~ (e22 = e20) & ~ (e22 = e13) & ~ (e22 = e12) & ~ (e22 = e11) & ~ (e22 = e10) & ~ (e21 = e20) & ~ (e21 = e13) & ~ (e21 = e12) & ~ (e21 = e11) & ~ (e21 = e10) & ~ (e20 = e13) & ~ (e20 = e12) & ~ (e20 = e11) & ~ (e20 = e10) & ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = e10) & ~ (e11 = e10) & op1(e13, e13) = e12 & op1(e13, e12) = e11 & op1(e13, e11) = e13 & op1(e13, e10) = e10 & op1(e12, all_0_125_125) = all_0_103_103 & op1(e12, all_0_126_126) = all_0_104_104 & op1(e12, all_0_127_127) = all_0_105_105 & op1(e12, e13) = all_0_125_125 & op1(e12, e12) = all_0_126_126 & op1(e12, e11) = e10 & op1(e12, e10) = all_0_127_127 & op1(e11, all_0_128_128) = all_0_106_106 & op1(e11, all_0_129_129) = all_0_107_107 & op1(e11, all_0_130_130) = all_0_108_108 & op1(e11, all_0_131_131) = all_0_109_109 & op1(e11, e13) = all_0_128_128 & op1(e11, e12) = all_0_129_129 & op1(e11, e11) = all_0_130_130 & op1(e11, e10) = all_0_131_131 & op1(e10, all_0_132_132) = all_0_110_110 & op1(e10, all_0_133_133) = all_0_111_111 & op1(e10, all_0_134_134) = all_0_112_112 & op1(e10, all_0_135_135) = all_0_113_113 & op1(e10, e13) = all_0_132_132 & op1(e10, e12) = all_0_133_133 & op1(e10, e11) = all_0_134_134 & op1(e10, e10) = all_0_135_135 & h1(all_0_125_125) = all_0_67_67 & h1(all_0_126_126) = all_0_69_69 & h1(all_0_127_127) = all_0_72_72 & h1(all_0_128_128) = all_0_74_74 & h1(all_0_129_129) = all_0_76_76 & h1(all_0_130_130) = all_0_78_78 & h1(all_0_131_131) = all_0_80_80 & h1(all_0_132_132) = all_0_82_82 & h1(all_0_133_133) = all_0_84_84 & h1(all_0_134_134) = all_0_86_86 & h1(all_0_135_135) = all_0_88_88 & h1(e13) = e20 & h1(e12) = all_0_124_124 & h1(e11) = all_0_102_102 & h1(e10) = all_0_91_91 & h2(all_0_125_125) = all_0_41_41 & h2(all_0_126_126) = all_0_43_43 & h2(all_0_127_127) = all_0_46_46 & h2(all_0_128_128) = all_0_48_48 & h2(all_0_129_129) = all_0_50_50 & h2(all_0_130_130) = all_0_52_52 & h2(all_0_131_131) = all_0_54_54 & h2(all_0_132_132) = all_0_56_56 & h2(all_0_133_133) = all_0_58_58 & h2(all_0_134_134) = all_0_60_60 & h2(all_0_135_135) = all_0_62_62 & h2(e13) = e21 & h2(e12) = all_0_119_119 & h2(e11) = all_0_97_97 & h2(e10) = all_0_90_90 & h3(all_0_125_125) = all_0_15_15 & h3(all_0_126_126) = all_0_17_17 & h3(all_0_127_127) = all_0_20_20 & h3(all_0_128_128) = all_0_22_22 & h3(all_0_129_129) = all_0_24_24 & h3(all_0_130_130) = all_0_26_26 & h3(all_0_131_131) = all_0_28_28 & h3(all_0_132_132) = all_0_30_30 & h3(all_0_133_133) = all_0_32_32 & h3(all_0_134_134) = all_0_34_34 & h3(all_0_135_135) = all_0_36_36 & h3(e13) = e22 & h3(e12) = all_0_115_115 & h3(e11) = all_0_93_93 & h3(e10) = all_0_89_89 & h4(all_0_125_125) = all_0_0_0 & h4(all_0_126_126) = all_0_1_1 & h4(all_0_127_127) = all_0_2_2 & h4(all_0_128_128) = all_0_3_3 & h4(all_0_129_129) = all_0_4_4 & h4(all_0_130_130) = all_0_5_5 & h4(all_0_131_131) = all_0_6_6 & h4(all_0_132_132) = all_0_7_7 & h4(all_0_133_133) = all_0_8_8 & h4(all_0_134_134) = all_0_9_9 & h4(all_0_135_135) = all_0_10_10 & h4(e13) = e23 & h4(e12) = e22 & h4(e11) = e21 & h4(e10) = e20 & op2(all_0_89_89, all_0_89_89) = all_0_35_35 & op2(all_0_89_89, all_0_93_93) = all_0_33_33 & op2(all_0_89_89, all_0_115_115) = all_0_31_31 & op2(all_0_89_89, e22) = all_0_29_29 & op2(all_0_90_90, all_0_90_90) = all_0_61_61 & op2(all_0_90_90, all_0_97_97) = all_0_59_59 & op2(all_0_90_90, all_0_119_119) = all_0_57_57 & op2(all_0_90_90, e21) = all_0_55_55 & op2(all_0_91_91, all_0_91_91) = all_0_87_87 & op2(all_0_91_91, all_0_102_102) = all_0_85_85 & op2(all_0_91_91, all_0_124_124) = all_0_83_83 & op2(all_0_91_91, e20) = all_0_81_81 & op2(all_0_93_93, all_0_89_89) = all_0_27_27 & op2(all_0_93_93, all_0_93_93) = all_0_25_25 & op2(all_0_93_93, all_0_115_115) = all_0_23_23 & op2(all_0_93_93, e22) = all_0_21_21 & op2(all_0_97_97, all_0_90_90) = all_0_53_53 & op2(all_0_97_97, all_0_97_97) = all_0_51_51 & op2(all_0_97_97, all_0_119_119) = all_0_49_49 & op2(all_0_97_97, e21) = all_0_47_47 & op2(all_0_102_102, all_0_91_91) = all_0_79_79 & op2(all_0_102_102, all_0_102_102) = all_0_77_77 & op2(all_0_102_102, all_0_124_124) = all_0_75_75 & op2(all_0_102_102, e20) = all_0_73_73 & op2(all_0_115_115, all_0_89_89) = all_0_19_19 & op2(all_0_115_115, all_0_93_93) = all_0_18_18 & op2(all_0_115_115, all_0_93_93) = all_0_89_89 & op2(all_0_115_115, all_0_115_115) = all_0_16_16 & op2(all_0_115_115, e22) = all_0_14_14 & op2(all_0_119_119, all_0_90_90) = all_0_45_45 & op2(all_0_119_119, all_0_97_97) = all_0_44_44 & op2(all_0_119_119, all_0_97_97) = all_0_90_90 & op2(all_0_119_119, all_0_119_119) = all_0_42_42 & op2(all_0_119_119, e21) = all_0_40_40 & op2(all_0_124_124, all_0_91_91) = all_0_71_71 & op2(all_0_124_124, all_0_102_102) = all_0_70_70 & op2(all_0_124_124, all_0_102_102) = all_0_91_91 & op2(all_0_124_124, all_0_124_124) = all_0_68_68 & op2(all_0_124_124, e20) = all_0_66_66 & op2(e23, e23) = e22 & op2(e23, e22) = e21 & op2(e23, e21) = e23 & op2(e23, e20) = e20 & op2(e22, all_0_89_89) = all_0_13_13 & op2(e22, all_0_93_93) = all_0_12_12 & op2(e22, all_0_114_114) = all_0_92_92 & op2(e22, all_0_115_115) = all_0_11_11 & op2(e22, all_0_115_115) = all_0_93_93 & op2(e22, all_0_116_116) = all_0_94_94 & op2(e22, e23) = all_0_114_114 & op2(e22, e22) = all_0_115_115 & op2(e22, e21) = e20 & op2(e22, e20) = all_0_116_116 & op2(e21, all_0_90_90) = all_0_39_39 & op2(e21, all_0_97_97) = all_0_38_38 & op2(e21, all_0_117_117) = all_0_95_95 & op2(e21, all_0_118_118) = all_0_96_96 & op2(e21, all_0_119_119) = all_0_37_37 & op2(e21, all_0_119_119) = all_0_97_97 & op2(e21, all_0_120_120) = all_0_98_98 & op2(e21, e23) = all_0_117_117 & op2(e21, e22) = all_0_118_118 & op2(e21, e21) = all_0_119_119 & op2(e21, e20) = all_0_120_120 & op2(e20, all_0_91_91) = all_0_65_65 & op2(e20, all_0_102_102) = all_0_64_64 & op2(e20, all_0_121_121) = all_0_99_99 & op2(e20, all_0_122_122) = all_0_100_100 & op2(e20, all_0_123_123) = all_0_101_101 & op2(e20, all_0_124_124) = all_0_63_63 & op2(e20, all_0_124_124) = all_0_102_102 & op2(e20, e23) = all_0_121_121 & op2(e20, e22) = all_0_122_122 & op2(e20, e21) = all_0_123_123 & op2(e20, e20) = all_0_124_124 & ! [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_114_114) | ~ (all_0_1_1 = all_0_115_115) | ~ (all_0_2_2 = all_0_116_116) | ~ (all_0_3_3 = all_0_117_117) | ~ (all_0_4_4 = all_0_118_118) | ~ (all_0_5_5 = all_0_119_119) | ~ (all_0_6_6 = all_0_120_120) | ~ (all_0_7_7 = all_0_121_121) | ~ (all_0_8_8 = all_0_122_122) | ~ (all_0_9_9 = all_0_123_123) | ~ (all_0_10_10 = all_0_124_124)) & ( ~ (all_0_11_11 = all_0_93_93) | ~ (all_0_12_12 = e22) | ~ (all_0_13_13 = all_0_89_89) | ~ (all_0_14_14 = all_0_15_15) | ~ (all_0_16_16 = all_0_17_17) | ~ (all_0_18_18 = all_0_89_89) | ~ (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_89_89 = e23) & ~ (all_0_93_93 = e23) & ~ (all_0_115_115 = e23)) | ( ~ (all_0_89_89 = e21) & ~ (all_0_93_93 = e21)) | ( ~ (all_0_89_89 = e20) & ~ (all_0_93_93 = e20))) & ( ~ (all_0_37_37 = all_0_97_97) | ~ (all_0_38_38 = e21) | ~ (all_0_39_39 = all_0_90_90) | ~ (all_0_40_40 = all_0_41_41) | ~ (all_0_42_42 = all_0_43_43) | ~ (all_0_44_44 = all_0_90_90) | ~ (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_90_90 = e23) & ~ (all_0_97_97 = e23)) | ( ~ (all_0_90_90 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_119_119 = e22)) | ( ~ (all_0_90_90 = e20) & ~ (all_0_97_97 = e20))) & ( ~ (all_0_63_63 = all_0_102_102) | ~ (all_0_64_64 = e20) | ~ (all_0_65_65 = all_0_91_91) | ~ (all_0_66_66 = all_0_67_67) | ~ (all_0_68_68 = all_0_69_69) | ~ (all_0_70_70 = all_0_91_91) | ~ (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_91_91 = e23) & ~ (all_0_102_102 = e23) & ~ (all_0_124_124 = e23)) | ( ~ (all_0_91_91 = e22) & ~ (all_0_102_102 = e22) & ~ (all_0_124_124 = e22)) | ( ~ (all_0_91_91 = e21) & ~ (all_0_102_102 = e21) & ~ (all_0_124_124 = e21))) & (all_0_92_92 = e23 | all_0_93_93 = e22 | all_0_94_94 = e20 | all_0_116_116 = e21) & (all_0_95_95 = e23 | all_0_96_96 = e22 | all_0_97_97 = e21 | all_0_98_98 = e20) & (all_0_99_99 = e23 | all_0_100_100 = e22 | all_0_101_101 = e21 | all_0_102_102 = e20) & (all_0_103_103 = e13 | all_0_104_104 = e12 | all_0_105_105 = e10 | all_0_127_127 = e11) & (all_0_106_106 = e13 | all_0_107_107 = e12 | all_0_108_108 = e11 | all_0_109_109 = e10) & (all_0_110_110 = e13 | all_0_111_111 = e12 | all_0_112_112 = e11 | all_0_113_113 = e10) & (all_0_114_114 = e23 | all_0_114_114 = e21) & (all_0_114_114 = e23 | all_0_115_115 = e23 | all_0_116_116 = e23) & (all_0_114_114 = e23 | all_0_117_117 = e23 | all_0_121_121 = e23) & (all_0_114_114 = e21 | all_0_116_116 = e21) & (all_0_114_114 = e21 | all_0_117_117 = e21 | all_0_121_121 = e21) & (all_0_115_115 = e23 | all_0_115_115 = e22) & (all_0_115_115 = e23 | all_0_118_118 = e23 | all_0_122_122 = e23) & (all_0_115_115 = e22 | all_0_116_116 = e22) & (all_0_115_115 = e22 | all_0_118_118 = e22 | all_0_122_122 = e22) & (all_0_115_115 = e22 | (all_0_115_115 = e23 & all_0_121_121 = e20) | (all_0_117_117 = e23 & all_0_124_124 = e21) | (all_0_119_119 = e21 & all_0_124_124 = e21)) & (all_0_116_116 = e23 | all_0_116_116 = e22 | all_0_116_116 = e21) & (all_0_116_116 = e23 | all_0_120_120 = e23 | all_0_124_124 = e23) & (all_0_116_116 = e22 | all_0_120_120 = e22 | all_0_124_124 = e22) & (all_0_116_116 = e21 | all_0_120_120 = e21 | all_0_124_124 = e21) & (all_0_117_117 = e23 | all_0_117_117 = e21 | all_0_117_117 = e20) & (all_0_117_117 = e23 | all_0_118_118 = e23 | all_0_120_120 = e23) & (all_0_117_117 = e21 | all_0_119_119 = e21 | all_0_120_120 = e21) & (all_0_117_117 = e20 | all_0_118_118 = e20) & (all_0_117_117 = e20 | all_0_121_121 = e20) & (all_0_118_118 = e23 | all_0_118_118 = e22 | all_0_118_118 = e20) & (all_0_118_118 = e22 | all_0_119_119 = e22 | all_0_120_120 = e22) & (all_0_118_118 = e20 | all_0_122_122 = e20) & (all_0_119_119 = e22 | all_0_119_119 = e21) & (all_0_119_119 = e22 | all_0_123_123 = e22) & (all_0_119_119 = e21 | all_0_123_123 = e21) & (all_0_120_120 = e23 | all_0_120_120 = e22 | all_0_120_120 = e21) & (all_0_121_121 = e23 | all_0_121_121 = e21 | all_0_121_121 = e20) & (all_0_121_121 = e23 | all_0_122_122 = e23 | all_0_124_124 = e23) & (all_0_121_121 = e21 | all_0_123_123 = e21 | all_0_124_124 = e21) & (all_0_121_121 = e20 | all_0_122_122 = e20) & (all_0_122_122 = e23 | all_0_122_122 = e22 | all_0_122_122 = e20) & (all_0_122_122 = e22 | all_0_123_123 = e22 | all_0_124_124 = e22) & (all_0_123_123 = e22 | all_0_123_123 = e21) & (all_0_124_124 = e23 | all_0_124_124 = e22 | all_0_124_124 = e21) & (all_0_125_125 = e13 | all_0_125_125 = e11) & (all_0_125_125 = e13 | all_0_126_126 = e13 | all_0_127_127 = e13) & (all_0_125_125 = e13 | all_0_128_128 = e13 | all_0_132_132 = e13) & (all_0_125_125 = e11 | all_0_127_127 = e11) & (all_0_125_125 = e11 | all_0_128_128 = e11 | all_0_132_132 = e11) & (all_0_126_126 = e13 | all_0_126_126 = e12) & (all_0_126_126 = e13 | all_0_129_129 = e13 | all_0_133_133 = e13) & (all_0_126_126 = e12 | all_0_127_127 = e12) & (all_0_126_126 = e12 | all_0_129_129 = e12 | all_0_133_133 = e12) & (all_0_126_126 = e12 | (all_0_126_126 = e13 & all_0_132_132 = e10) | (all_0_128_128 = e13 & all_0_135_135 = e11) | (all_0_130_130 = e11 & all_0_135_135 = e11)) & (all_0_127_127 = e13 | all_0_127_127 = e12 | all_0_127_127 = e11) & (all_0_127_127 = e13 | all_0_131_131 = e13 | all_0_135_135 = e13) & (all_0_127_127 = e12 | all_0_131_131 = e12 | all_0_135_135 = e12) & (all_0_127_127 = e11 | all_0_131_131 = e11 | all_0_135_135 = e11) & (all_0_128_128 = e13 | all_0_128_128 = e11 | all_0_128_128 = e10) & (all_0_128_128 = e13 | all_0_129_129 = e13 | all_0_131_131 = e13) & (all_0_128_128 = e11 | all_0_130_130 = e11 | all_0_131_131 = e11) & (all_0_128_128 = e10 | all_0_129_129 = e10) & (all_0_128_128 = e10 | all_0_132_132 = e10) & (all_0_129_129 = e13 | all_0_129_129 = e12 | all_0_129_129 = e10) & (all_0_129_129 = e12 | all_0_130_130 = e12 | all_0_131_131 = e12) & (all_0_129_129 = e10 | all_0_133_133 = e10) & (all_0_130_130 = e12 | all_0_130_130 = e11) & (all_0_130_130 = e12 | all_0_134_134 = e12) & (all_0_130_130 = e11 | all_0_134_134 = e11) & (all_0_131_131 = e13 | all_0_131_131 = e12 | all_0_131_131 = e11) & (all_0_132_132 = e13 | all_0_132_132 = e11 | all_0_132_132 = e10) & (all_0_132_132 = e13 | all_0_133_133 = e13 | all_0_135_135 = e13) & (all_0_132_132 = e11 | all_0_134_134 = e11 | all_0_135_135 = e11) & (all_0_132_132 = e10 | all_0_133_133 = e10) & (all_0_133_133 = e13 | all_0_133_133 = e12 | all_0_133_133 = e10) & (all_0_133_133 = e12 | all_0_134_134 = e12 | all_0_135_135 = e12) & (all_0_134_134 = e12 | all_0_134_134 = e11) & (all_0_135_135 = e13 | all_0_135_135 = e12 | all_0_135_135 = e11) & (( ~ (all_0_115_115 = e22) & ~ (all_0_122_122 = e20)) | ( ~ (all_0_116_116 = e22) & ~ (all_0_120_120 = e21)) | ( ~ (all_0_117_117 = e21) & ~ (all_0_121_121 = e20))) & (( ~ (all_0_126_126 = e12) & ~ (all_0_133_133 = e10)) | ( ~ (all_0_127_127 = e12) & ~ (all_0_131_131 = e11)) | ( ~ (all_0_128_128 = e11) & ~ (all_0_132_132 = e10)))
% 12.95/3.55 |
% 12.95/3.55 | Applying alpha-rule on (1) yields:
% 12.95/3.55 | (2) ~ (all_0_127_127 = e10)
% 12.95/3.55 | (3) ~ (all_0_122_122 = all_0_124_124)
% 12.95/3.55 | (4) h2(all_0_131_131) = all_0_54_54
% 12.95/3.55 | (5) op2(all_0_115_115, all_0_89_89) = all_0_19_19
% 12.95/3.55 | (6) all_0_117_117 = e21 | all_0_119_119 = e21 | all_0_120_120 = e21
% 12.95/3.55 | (7) all_0_118_118 = e23 | all_0_118_118 = e22 | all_0_118_118 = e20
% 12.95/3.55 | (8) h1(all_0_133_133) = all_0_84_84
% 12.95/3.55 | (9) op2(e21, e20) = all_0_120_120
% 12.95/3.55 | (10) h2(e11) = all_0_97_97
% 12.95/3.55 | (11) ~ (all_0_122_122 = all_0_123_123)
% 12.95/3.55 | (12) all_0_95_95 = e23 | all_0_96_96 = e22 | all_0_97_97 = e21 | all_0_98_98 = e20
% 12.95/3.55 | (13) all_0_116_116 = e21 | all_0_120_120 = e21 | all_0_124_124 = e21
% 12.95/3.55 | (14) ~ (all_0_130_130 = all_0_134_134)
% 12.95/3.55 | (15) ~ (all_0_121_121 = e22)
% 12.95/3.55 | (16) all_0_127_127 = e11 | all_0_131_131 = e11 | all_0_135_135 = e11
% 12.95/3.55 | (17) h3(all_0_129_129) = all_0_24_24
% 12.95/3.55 | (18) ~ (all_0_114_114 = all_0_116_116)
% 12.95/3.55 | (19) all_0_126_126 = e12 | all_0_129_129 = e12 | all_0_133_133 = e12
% 12.95/3.55 | (20) h3(all_0_130_130) = all_0_26_26
% 12.95/3.55 | (21) op2(all_0_115_115, e22) = all_0_14_14
% 12.95/3.55 | (22) ~ (e23 = e22)
% 12.95/3.55 | (23) ~ (all_0_114_114 = all_0_117_117)
% 12.95/3.55 | (24) ~ (all_0_127_127 = all_0_135_135)
% 12.95/3.55 | (25) op2(all_0_91_91, all_0_124_124) = all_0_83_83
% 12.95/3.55 | (26) ~ (e21 = e10)
% 12.95/3.55 | (27) h1(all_0_135_135) = all_0_88_88
% 12.95/3.55 | (28) op2(e22, all_0_114_114) = all_0_92_92
% 12.95/3.56 | (29) h1(all_0_134_134) = all_0_86_86
% 12.95/3.56 | (30) all_0_128_128 = e13 | all_0_128_128 = e11 | all_0_128_128 = e10
% 12.95/3.56 | (31) all_0_133_133 = e12 | all_0_134_134 = e12 | all_0_135_135 = e12
% 12.95/3.56 | (32) ~ (all_0_114_114 = all_0_115_115)
% 12.95/3.56 | (33) all_0_121_121 = e23 | all_0_121_121 = e21 | all_0_121_121 = e20
% 12.95/3.56 | (34) ~ (all_0_120_120 = all_0_124_124)
% 12.95/3.56 | (35) ~ (e22 = e11)
% 12.95/3.56 | (36) op2(all_0_115_115, all_0_93_93) = all_0_18_18
% 12.95/3.56 | (37) op2(e20, e22) = all_0_122_122
% 12.95/3.56 | (38) op1(e13, e11) = e13
% 12.95/3.56 | (39) h4(e11) = e21
% 12.95/3.56 | (40) op2(all_0_91_91, all_0_102_102) = all_0_85_85
% 12.95/3.56 | (41) h2(all_0_128_128) = all_0_48_48
% 12.95/3.56 | (42) h1(all_0_132_132) = all_0_82_82
% 12.95/3.56 | (43) h2(all_0_134_134) = all_0_60_60
% 12.95/3.56 | (44) all_0_119_119 = e22 | all_0_123_123 = e22
% 12.95/3.56 | (45) h1(all_0_128_128) = all_0_74_74
% 12.95/3.56 | (46) op2(all_0_89_89, all_0_115_115) = all_0_31_31
% 12.95/3.56 | (47) all_0_125_125 = e11 | all_0_128_128 = e11 | all_0_132_132 = e11
% 12.95/3.56 | (48) op2(all_0_119_119, all_0_90_90) = all_0_45_45
% 12.95/3.56 | (49) op1(e12, e13) = all_0_125_125
% 12.95/3.56 | (50) ~ (all_0_132_132 = all_0_133_133)
% 12.95/3.56 | (51) ~ (all_0_126_126 = e11)
% 12.95/3.56 | (52) all_0_117_117 = e23 | all_0_117_117 = e21 | all_0_117_117 = e20
% 12.95/3.56 | (53) all_0_132_132 = e11 | all_0_134_134 = e11 | all_0_135_135 = e11
% 12.95/3.56 | (54) h3(all_0_128_128) = all_0_22_22
% 12.95/3.56 | (55) op2(all_0_93_93, all_0_89_89) = all_0_27_27
% 12.95/3.56 | (56) all_0_121_121 = e20 | all_0_122_122 = e20
% 12.95/3.56 | (57) op2(e22, all_0_93_93) = all_0_12_12
% 12.95/3.56 | (58) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0))
% 12.95/3.56 | (59) ~ (all_0_117_117 = all_0_120_120)
% 12.95/3.56 | (60) ~ (all_0_125_125 = e12)
% 12.95/3.56 | (61) op2(all_0_97_97, all_0_97_97) = all_0_51_51
% 12.95/3.56 | (62) h1(all_0_127_127) = all_0_72_72
% 12.95/3.56 | (63) h4(all_0_127_127) = all_0_2_2
% 12.95/3.56 | (64) all_0_129_129 = e12 | all_0_130_130 = e12 | all_0_131_131 = e12
% 12.95/3.56 | (65) op1(e10, e11) = all_0_134_134
% 12.95/3.56 | (66) op1(e10, e13) = all_0_132_132
% 12.95/3.56 | (67) h3(e11) = all_0_93_93
% 12.95/3.56 | (68) all_0_115_115 = e23 | all_0_118_118 = e23 | all_0_122_122 = e23
% 12.95/3.56 | (69) op2(all_0_115_115, all_0_93_93) = all_0_89_89
% 12.95/3.56 | (70) op1(e11, all_0_130_130) = all_0_108_108
% 12.95/3.56 | (71) op2(all_0_119_119, all_0_97_97) = all_0_90_90
% 12.95/3.56 | (72) h3(all_0_134_134) = all_0_34_34
% 12.95/3.56 | (73) h4(all_0_133_133) = all_0_8_8
% 12.95/3.56 | (74) ~ (all_0_120_120 = e20)
% 12.95/3.56 | (75) h3(e12) = all_0_115_115
% 12.95/3.56 | (76) op2(all_0_119_119, e21) = all_0_40_40
% 12.95/3.56 | (77) all_0_130_130 = e12 | all_0_134_134 = e12
% 12.95/3.56 | (78) ~ (all_0_127_127 = all_0_131_131)
% 12.95/3.56 | (79) op2(e22, all_0_115_115) = all_0_93_93
% 12.95/3.56 | (80) ~ (all_0_135_135 = e10)
% 12.95/3.56 | (81) all_0_115_115 = e22 | all_0_118_118 = e22 | all_0_122_122 = e22
% 12.95/3.56 | (82) op2(e22, e20) = all_0_116_116
% 12.95/3.56 | (83) all_0_132_132 = e13 | all_0_132_132 = e11 | all_0_132_132 = e10
% 12.95/3.56 | (84) ~ (all_0_132_132 = e12)
% 12.95/3.56 | (85) all_0_121_121 = e23 | all_0_122_122 = e23 | all_0_124_124 = e23
% 12.95/3.56 | (86) ~ (all_0_121_121 = all_0_122_122)
% 12.95/3.56 | (87) h3(e10) = all_0_89_89
% 12.95/3.56 | (88) all_0_114_114 = e21 | all_0_117_117 = e21 | all_0_121_121 = e21
% 12.95/3.56 | (89) ( ~ (all_0_115_115 = e22) & ~ (all_0_122_122 = e20)) | ( ~ (all_0_116_116 = e22) & ~ (all_0_120_120 = e21)) | ( ~ (all_0_117_117 = e21) & ~ (all_0_121_121 = e20))
% 12.95/3.56 | (90) all_0_126_126 = e13 | all_0_126_126 = e12
% 12.95/3.56 | (91) h4(all_0_126_126) = all_0_1_1
% 12.95/3.56 | (92) op2(all_0_124_124, all_0_102_102) = all_0_91_91
% 12.95/3.56 | (93) h1(e11) = all_0_102_102
% 12.95/3.56 | (94) h1(all_0_125_125) = all_0_67_67
% 12.95/3.56 | (95) ~ (all_0_115_115 = all_0_122_122)
% 12.95/3.56 | (96) all_0_103_103 = e13 | all_0_104_104 = e12 | all_0_105_105 = e10 | all_0_127_127 = e11
% 12.95/3.56 | (97) op1(e12, all_0_126_126) = all_0_104_104
% 12.95/3.56 | (98) ~ (all_0_126_126 = all_0_127_127)
% 12.95/3.56 | (99) h3(all_0_133_133) = all_0_32_32
% 12.95/3.56 | (100) ~ (e23 = e13)
% 12.95/3.56 | (101) op2(all_0_91_91, e20) = all_0_81_81
% 12.95/3.57 | (102) ~ (all_0_119_119 = e23)
% 12.95/3.57 | (103) h1(e12) = all_0_124_124
% 12.95/3.57 | (104) h1(all_0_131_131) = all_0_80_80
% 12.95/3.57 | (105) h3(all_0_127_127) = all_0_20_20
% 12.95/3.57 | (106) all_0_133_133 = e13 | all_0_133_133 = e12 | all_0_133_133 = e10
% 12.95/3.57 | (107) all_0_125_125 = e13 | all_0_125_125 = e11
% 12.95/3.57 | (108) op1(e11, e11) = all_0_130_130
% 12.95/3.57 | (109) all_0_116_116 = e22 | all_0_120_120 = e22 | all_0_124_124 = e22
% 12.95/3.57 | (110) ~ (all_0_114_114 = e22)
% 12.95/3.57 | (111) op2(all_0_124_124, all_0_124_124) = all_0_68_68
% 12.95/3.57 | (112) ~ (e22 = e20)
% 12.95/3.57 | (113) h3(all_0_125_125) = all_0_15_15
% 12.95/3.57 | (114) op2(all_0_115_115, all_0_115_115) = all_0_16_16
% 12.95/3.57 | (115) all_0_115_115 = e22 | all_0_116_116 = e22
% 12.95/3.57 | (116) op2(e22, e22) = all_0_115_115
% 12.95/3.57 | (117) all_0_118_118 = e20 | all_0_122_122 = e20
% 12.95/3.57 | (118) h1(all_0_130_130) = all_0_78_78
% 12.95/3.57 | (119) ~ (all_0_118_118 = all_0_122_122)
% 12.95/3.57 | (120) ~ (all_0_0_0 = all_0_114_114) | ~ (all_0_1_1 = all_0_115_115) | ~ (all_0_2_2 = all_0_116_116) | ~ (all_0_3_3 = all_0_117_117) | ~ (all_0_4_4 = all_0_118_118) | ~ (all_0_5_5 = all_0_119_119) | ~ (all_0_6_6 = all_0_120_120) | ~ (all_0_7_7 = all_0_121_121) | ~ (all_0_8_8 = all_0_122_122) | ~ (all_0_9_9 = all_0_123_123) | ~ (all_0_10_10 = all_0_124_124)
% 12.95/3.57 | (121) all_0_117_117 = e23 | all_0_118_118 = e23 | all_0_120_120 = e23
% 12.95/3.57 | (122) ~ (all_0_11_11 = all_0_93_93) | ~ (all_0_12_12 = e22) | ~ (all_0_13_13 = all_0_89_89) | ~ (all_0_14_14 = all_0_15_15) | ~ (all_0_16_16 = all_0_17_17) | ~ (all_0_18_18 = all_0_89_89) | ~ (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_89_89 = e23) & ~ (all_0_93_93 = e23) & ~ (all_0_115_115 = e23)) | ( ~ (all_0_89_89 = e21) & ~ (all_0_93_93 = e21)) | ( ~ (all_0_89_89 = e20) & ~ (all_0_93_93 = e20))
% 12.95/3.57 | (123) all_0_128_128 = e11 | all_0_130_130 = e11 | all_0_131_131 = e11
% 12.95/3.57 | (124) all_0_92_92 = e23 | all_0_93_93 = e22 | all_0_94_94 = e20 | all_0_116_116 = e21
% 12.95/3.57 | (125) op1(e10, all_0_133_133) = all_0_111_111
% 12.95/3.57 | (126) h4(all_0_128_128) = all_0_3_3
% 12.95/3.57 | (127) op2(all_0_91_91, all_0_91_91) = all_0_87_87
% 12.95/3.57 | (128) op1(e13, e12) = e11
% 12.95/3.57 | (129) all_0_116_116 = e23 | all_0_116_116 = e22 | all_0_116_116 = e21
% 12.95/3.57 | (130) op1(e13, e13) = e12
% 12.95/3.57 | (131) op2(e20, all_0_124_124) = all_0_102_102
% 12.95/3.57 | (132) ~ (all_0_125_125 = all_0_128_128)
% 12.95/3.57 | (133) op1(e10, e10) = all_0_135_135
% 12.95/3.57 | (134) ~ (all_0_123_123 = all_0_124_124)
% 12.95/3.57 | (135) all_0_126_126 = e12 | (all_0_126_126 = e13 & all_0_132_132 = e10) | (all_0_128_128 = e13 & all_0_135_135 = e11) | (all_0_130_130 = e11 & all_0_135_135 = e11)
% 12.95/3.57 | (136) all_0_110_110 = e13 | all_0_111_111 = e12 | all_0_112_112 = e11 | all_0_113_113 = e10
% 12.95/3.57 | (137) ~ (all_0_118_118 = e21)
% 12.95/3.57 | (138) all_0_127_127 = e12 | all_0_131_131 = e12 | all_0_135_135 = e12
% 12.95/3.57 | (139) ~ (all_0_128_128 = all_0_129_129)
% 12.95/3.57 | (140) all_0_129_129 = e10 | all_0_133_133 = e10
% 12.95/3.57 | (141) ~ (all_0_114_114 = e20)
% 12.95/3.57 | (142) op2(e20, all_0_124_124) = all_0_63_63
% 12.95/3.57 | (143) ~ (all_0_115_115 = e20)
% 12.95/3.57 | (144) ~ (all_0_128_128 = all_0_131_131)
% 12.95/3.57 | (145) all_0_106_106 = e13 | all_0_107_107 = e12 | all_0_108_108 = e11 | all_0_109_109 = e10
% 12.95/3.57 | (146) all_0_115_115 = e22 | (all_0_115_115 = e23 & all_0_121_121 = e20) | (all_0_117_117 = e23 & all_0_124_124 = e21) | (all_0_119_119 = e21 & all_0_124_124 = e21)
% 12.95/3.57 | (147) op2(e23, e22) = e21
% 12.95/3.57 | (148) all_0_128_128 = e13 | all_0_129_129 = e13 | all_0_131_131 = e13
% 12.95/3.57 | (149) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0))
% 12.95/3.57 | (150) ~ (all_0_129_129 = all_0_133_133)
% 12.95/3.57 | (151) all_0_126_126 = e12 | all_0_127_127 = e12
% 12.95/3.57 | (152) ~ (all_0_130_130 = e10)
% 12.95/3.57 | (153) h1(all_0_129_129) = all_0_76_76
% 12.95/3.58 | (154) ~ (e21 = e11)
% 12.95/3.58 | (155) op2(all_0_89_89, all_0_93_93) = all_0_33_33
% 12.95/3.58 | (156) ~ (all_0_130_130 = all_0_131_131)
% 12.95/3.58 | (157) ~ (all_0_133_133 = all_0_134_134)
% 12.95/3.58 | (158) ~ (e12 = e10)
% 12.95/3.58 | (159) ~ (all_0_134_134 = all_0_135_135)
% 12.95/3.58 | (160) ~ (all_0_117_117 = all_0_119_119)
% 12.95/3.58 | (161) op2(e23, e21) = e23
% 12.95/3.58 | (162) all_0_117_117 = e20 | all_0_118_118 = e20
% 12.95/3.58 | (163) ~ (e20 = e10)
% 12.95/3.58 | (164) ~ (all_0_130_130 = e13)
% 12.95/3.58 | (165) ~ (all_0_131_131 = all_0_135_135)
% 12.95/3.58 | (166) op2(e22, e23) = all_0_114_114
% 12.95/3.58 | (167) op2(e21, all_0_119_119) = all_0_97_97
% 12.95/3.58 | (168) ~ (all_0_115_115 = all_0_118_118)
% 12.95/3.58 | (169) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 12.95/3.58 | (170) all_0_132_132 = e13 | all_0_133_133 = e13 | all_0_135_135 = e13
% 12.95/3.58 | (171) all_0_132_132 = e10 | all_0_133_133 = e10
% 12.95/3.58 | (172) op2(e21, all_0_120_120) = all_0_98_98
% 12.95/3.58 | (173) all_0_126_126 = e13 | all_0_129_129 = e13 | all_0_133_133 = e13
% 12.95/3.58 | (174) ~ (all_0_132_132 = all_0_134_134)
% 12.95/3.58 | (175) ~ (all_0_116_116 = all_0_124_124)
% 12.95/3.58 | (176) h3(e13) = e22
% 12.95/3.58 | (177) all_0_125_125 = e13 | all_0_126_126 = e13 | all_0_127_127 = e13
% 12.95/3.58 | (178) op2(e20, e21) = all_0_123_123
% 12.95/3.58 | (179) ~ (all_0_128_128 = e12)
% 12.95/3.58 | (180) all_0_118_118 = e22 | all_0_119_119 = e22 | all_0_120_120 = e22
% 12.95/3.58 | (181) h2(all_0_132_132) = all_0_56_56
% 12.95/3.58 | (182) op2(all_0_97_97, all_0_90_90) = all_0_53_53
% 12.95/3.58 | (183) op2(e20, all_0_91_91) = all_0_65_65
% 12.95/3.58 | (184) ~ (all_0_119_119 = all_0_123_123)
% 12.95/3.58 | (185) ~ (all_0_123_123 = e23)
% 12.95/3.58 | (186) op2(all_0_102_102, all_0_102_102) = all_0_77_77
% 12.95/3.58 | (187) ~ (e13 = e10)
% 12.95/3.58 | (188) all_0_131_131 = e13 | all_0_131_131 = e12 | all_0_131_131 = e11
% 12.95/3.58 | (189) all_0_114_114 = e23 | all_0_114_114 = e21
% 12.95/3.58 | (190) ~ (all_0_131_131 = e10)
% 12.95/3.58 | (191) ~ (all_0_125_125 = all_0_126_126)
% 12.95/3.58 | (192) all_0_121_121 = e21 | all_0_123_123 = e21 | all_0_124_124 = e21
% 12.95/3.58 | (193) all_0_116_116 = e23 | all_0_120_120 = e23 | all_0_124_124 = e23
% 12.95/3.58 | (194) ~ (e20 = e13)
% 12.95/3.58 | (195) h2(all_0_127_127) = all_0_46_46
% 12.95/3.58 | (196) op1(e10, all_0_135_135) = all_0_113_113
% 12.95/3.58 | (197) h4(e10) = e20
% 12.95/3.58 | (198) ~ (e20 = e11)
% 12.95/3.58 | (199) all_0_124_124 = e23 | all_0_124_124 = e22 | all_0_124_124 = e21
% 12.95/3.58 | (200) ~ (all_0_115_115 = all_0_116_116)
% 12.95/3.58 | (201) all_0_120_120 = e23 | all_0_120_120 = e22 | all_0_120_120 = e21
% 12.95/3.58 | (202) op1(e11, e12) = all_0_129_129
% 12.95/3.58 | (203) all_0_127_127 = e13 | all_0_127_127 = e12 | all_0_127_127 = e11
% 12.95/3.58 | (204) ~ (e23 = e10)
% 12.95/3.58 | (205) op2(e23, e20) = e20
% 12.95/3.58 | (206) op2(all_0_102_102, all_0_124_124) = all_0_75_75
% 12.95/3.58 | (207) h3(all_0_135_135) = all_0_36_36
% 12.95/3.58 | (208) all_0_119_119 = e21 | all_0_123_123 = e21
% 12.95/3.58 | (209) h4(all_0_130_130) = all_0_5_5
% 12.95/3.58 | (210) h2(all_0_126_126) = all_0_43_43
% 12.95/3.58 | (211) ~ (all_0_119_119 = e20)
% 12.95/3.58 | (212) op2(all_0_89_89, all_0_89_89) = all_0_35_35
% 12.95/3.58 | (213) op2(e21, e21) = all_0_119_119
% 12.95/3.58 | (214) h3(all_0_126_126) = all_0_17_17
% 12.95/3.58 | (215) ~ (all_0_118_118 = all_0_120_120)
% 12.95/3.58 | (216) op1(e10, all_0_134_134) = all_0_112_112
% 12.95/3.58 | (217) op2(e20, all_0_102_102) = all_0_64_64
% 12.95/3.58 | (218) op2(e21, e22) = all_0_118_118
% 12.95/3.58 | (219) op2(e20, all_0_123_123) = all_0_101_101
% 12.95/3.58 | (220) all_0_122_122 = e23 | all_0_122_122 = e22 | all_0_122_122 = e20
% 12.95/3.58 | (221) op2(all_0_90_90, all_0_119_119) = all_0_57_57
% 12.95/3.58 | (222) op2(e22, e21) = e20
% 12.95/3.58 | (223) op2(e21, all_0_90_90) = all_0_39_39
% 12.95/3.58 | (224) op2(e20, e23) = all_0_121_121
% 12.95/3.58 | (225) all_0_123_123 = e22 | all_0_123_123 = e21
% 12.95/3.58 | (226) ~ (all_0_123_123 = e20)
% 12.95/3.58 | (227) h4(all_0_131_131) = all_0_6_6
% 12.95/3.58 | (228) h2(all_0_129_129) = all_0_50_50
% 12.95/3.58 | (229) ~ (e22 = e21)
% 12.95/3.58 | (230) all_0_128_128 = e10 | all_0_132_132 = e10
% 12.95/3.58 | (231) all_0_99_99 = e23 | all_0_100_100 = e22 | all_0_101_101 = e21 | all_0_102_102 = e20
% 12.95/3.58 | (232) h2(e12) = all_0_119_119
% 12.95/3.58 | (233) ~ (all_0_37_37 = all_0_97_97) | ~ (all_0_38_38 = e21) | ~ (all_0_39_39 = all_0_90_90) | ~ (all_0_40_40 = all_0_41_41) | ~ (all_0_42_42 = all_0_43_43) | ~ (all_0_44_44 = all_0_90_90) | ~ (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_90_90 = e23) & ~ (all_0_97_97 = e23)) | ( ~ (all_0_90_90 = e22) & ~ (all_0_97_97 = e22) & ~ (all_0_119_119 = e22)) | ( ~ (all_0_90_90 = e20) & ~ (all_0_97_97 = e20))
% 12.95/3.58 | (234) all_0_134_134 = e12 | all_0_134_134 = e11
% 12.95/3.58 | (235) h3(all_0_132_132) = all_0_30_30
% 12.95/3.58 | (236) ~ (all_0_126_126 = e10)
% 12.95/3.58 | (237) op2(e21, all_0_118_118) = all_0_96_96
% 12.95/3.59 | (238) ~ (all_0_122_122 = e21)
% 12.95/3.59 | (239) ~ (all_0_114_114 = all_0_121_121)
% 12.95/3.59 | (240) op2(all_0_97_97, all_0_119_119) = all_0_49_49
% 12.95/3.59 | (241) ~ (e23 = e12)
% 12.95/3.59 | (242) op2(all_0_102_102, e20) = all_0_73_73
% 12.95/3.59 | (243) op2(all_0_90_90, all_0_90_90) = all_0_61_61
% 12.95/3.59 | (244) all_0_114_114 = e23 | all_0_117_117 = e23 | all_0_121_121 = e23
% 12.95/3.59 | (245) op2(all_0_93_93, e22) = all_0_21_21
% 12.95/3.59 | (246) op2(e20, all_0_121_121) = all_0_99_99
% 12.95/3.59 | (247) ~ (all_0_126_126 = all_0_129_129)
% 12.95/3.59 | (248) h1(e10) = all_0_91_91
% 12.95/3.59 | (249) ~ (all_0_133_133 = e11)
% 12.95/3.59 | (250) h2(e10) = all_0_90_90
% 12.95/3.59 | (251) all_0_127_127 = e13 | all_0_131_131 = e13 | all_0_135_135 = e13
% 12.95/3.59 | (252) ~ (e20 = e12)
% 12.95/3.59 | (253) ~ (all_0_116_116 = all_0_120_120)
% 12.95/3.59 | (254) ~ (e23 = e20)
% 12.95/3.59 | (255) op2(e23, e23) = e22
% 12.95/3.59 | (256) ~ (all_0_124_124 = e20)
% 12.95/3.59 | (257) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0))
% 12.95/3.59 | (258) h2(all_0_125_125) = all_0_41_41
% 12.95/3.59 | (259) ~ (all_0_115_115 = e21)
% 12.95/3.59 | (260) op2(e21, e23) = all_0_117_117
% 12.95/3.59 | (261) h1(all_0_126_126) = all_0_69_69
% 12.95/3.59 | (262) h4(all_0_132_132) = all_0_7_7
% 12.95/3.59 | (263) op2(all_0_93_93, all_0_115_115) = all_0_23_23
% 12.95/3.59 | (264) ~ (all_0_129_129 = all_0_130_130)
% 12.95/3.59 | (265) ~ (all_0_126_126 = all_0_133_133)
% 12.95/3.59 | (266) op1(e11, all_0_131_131) = all_0_109_109
% 12.95/3.59 | (267) ~ (all_0_117_117 = all_0_121_121)
% 12.95/3.59 | (268) ~ (all_0_132_132 = all_0_135_135)
% 12.95/3.59 | (269) ~ (all_0_118_118 = all_0_119_119)
% 12.95/3.59 | (270) ~ (e23 = e21)
% 12.95/3.59 | (271) op2(all_0_119_119, all_0_97_97) = all_0_44_44
% 12.95/3.59 | (272) op2(e22, all_0_116_116) = all_0_94_94
% 12.95/3.59 | (273) ~ (e22 = e13)
% 12.95/3.59 | (274) op1(e12, e10) = all_0_127_127
% 12.95/3.59 | (275) ~ (e22 = e12)
% 12.95/3.59 | (276) ~ (e13 = e12)
% 12.95/3.59 | (277) op2(e22, all_0_89_89) = all_0_13_13
% 12.95/3.59 | (278) ~ (all_0_116_116 = e20)
% 12.95/3.59 | (279) op1(e11, all_0_128_128) = all_0_106_106
% 12.95/3.59 | (280) op2(e21, all_0_117_117) = all_0_95_95
% 12.95/3.59 | (281) all_0_129_129 = e13 | all_0_129_129 = e12 | all_0_129_129 = e10
% 12.95/3.59 | (282) op2(all_0_90_90, all_0_97_97) = all_0_59_59
% 12.95/3.59 | (283) op2(e20, e20) = all_0_124_124
% 12.95/3.59 | (284) ~ (all_0_129_129 = e11)
% 12.95/3.59 | (285) all_0_125_125 = e13 | all_0_128_128 = e13 | all_0_132_132 = e13
% 12.95/3.59 | (286) all_0_130_130 = e12 | all_0_130_130 = e11
% 12.95/3.59 | (287) op2(all_0_124_124, e20) = all_0_66_66
% 12.95/3.59 | (288) ~ (e11 = e10)
% 12.95/3.59 | (289) h4(all_0_125_125) = all_0_0_0
% 12.95/3.59 | (290) h2(all_0_133_133) = all_0_58_58
% 12.95/3.59 | (291) op2(all_0_90_90, e21) = all_0_55_55
% 12.95/3.59 | (292) op1(e11, e13) = all_0_128_128
% 12.95/3.59 | (293) all_0_122_122 = e22 | all_0_123_123 = e22 | all_0_124_124 = e22
% 12.95/3.59 | (294) op2(e21, all_0_97_97) = all_0_38_38
% 12.95/3.59 | (295) ~ (all_0_125_125 = e10)
% 12.95/3.59 | (296) ~ (e23 = e11)
% 12.95/3.59 | (297) op2(all_0_119_119, all_0_119_119) = all_0_42_42
% 12.95/3.59 | (298) op2(all_0_89_89, e22) = all_0_29_29
% 12.95/3.59 | (299) h2(all_0_130_130) = all_0_52_52
% 12.95/3.59 | (300) h1(e13) = e20
% 12.95/3.59 | (301) ~ (all_0_128_128 = all_0_130_130)
% 12.95/3.59 | (302) ~ (all_0_121_121 = all_0_123_123)
% 12.95/3.59 | (303) ~ (e12 = e11)
% 12.95/3.59 | (304) all_0_125_125 = e11 | all_0_127_127 = e11
% 12.95/3.59 | (305) op1(e12, e12) = all_0_126_126
% 12.95/3.59 | (306) ~ (all_0_117_117 = all_0_118_118)
% 12.95/3.59 | (307) op1(e10, all_0_132_132) = all_0_110_110
% 12.95/3.59 | (308) ~ (e21 = e12)
% 12.95/3.59 | (309) op2(e21, all_0_119_119) = all_0_37_37
% 12.95/3.59 | (310) all_0_128_128 = e10 | all_0_129_129 = e10
% 12.95/3.59 | (311) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 12.95/3.59 | (312) op1(e12, e11) = e10
% 12.95/3.59 | (313) op2(e20, all_0_122_122) = all_0_100_100
% 12.95/3.59 | (314) ~ (all_0_129_129 = all_0_131_131)
% 12.95/3.59 | (315) op1(e11, e10) = all_0_131_131
% 12.95/3.59 | (316) ~ (e21 = e20)
% 12.95/3.59 | (317) ~ (all_0_121_121 = all_0_124_124)
% 12.95/3.59 | (318) all_0_114_114 = e21 | all_0_116_116 = e21
% 12.95/3.59 | (319) op1(e12, all_0_127_127) = all_0_105_105
% 12.95/3.59 | (320) ~ (all_0_119_119 = all_0_120_120)
% 12.95/3.59 | (321) op2(e22, all_0_115_115) = all_0_11_11
% 12.95/3.59 | (322) ~ (all_0_134_134 = e13)
% 12.95/3.59 | (323) ~ (e21 = e13)
% 12.95/3.59 | (324) ~ (all_0_125_125 = all_0_127_127)
% 12.95/3.59 | (325) h4(e13) = e23
% 12.95/3.59 | (326) ~ (all_0_125_125 = all_0_132_132)
% 12.95/3.59 | (327) op2(all_0_102_102, all_0_91_91) = all_0_79_79
% 12.95/3.59 | (328) all_0_130_130 = e11 | all_0_134_134 = e11
% 12.95/3.59 | (329) op1(e10, e12) = all_0_133_133
% 12.95/3.59 | (330) all_0_115_115 = e23 | all_0_115_115 = e22
% 12.95/3.59 | (331) ~ (all_0_117_117 = e22)
% 12.95/3.59 | (332) op1(e12, all_0_125_125) = all_0_103_103
% 12.95/3.59 | (333) op2(all_0_124_124, all_0_102_102) = all_0_70_70
% 12.95/3.59 | (334) ~ (all_0_133_133 = all_0_135_135)
% 12.95/3.59 | (335) ~ (all_0_63_63 = all_0_102_102) | ~ (all_0_64_64 = e20) | ~ (all_0_65_65 = all_0_91_91) | ~ (all_0_66_66 = all_0_67_67) | ~ (all_0_68_68 = all_0_69_69) | ~ (all_0_70_70 = all_0_91_91) | ~ (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_91_91 = e23) & ~ (all_0_102_102 = e23) & ~ (all_0_124_124 = e23)) | ( ~ (all_0_91_91 = e22) & ~ (all_0_102_102 = e22) & ~ (all_0_124_124 = e22)) | ( ~ (all_0_91_91 = e21) & ~ (all_0_102_102 = e21) & ~ (all_0_124_124 = e21))
% 12.95/3.59 | (336) ~ (all_0_128_128 = all_0_132_132)
% 12.95/3.59 | (337) ~ (e13 = e11)
% 12.95/3.59 | (338) h4(e12) = e22
% 12.95/3.59 | (339) op1(e11, all_0_129_129) = all_0_107_107
% 12.95/3.59 | (340) all_0_117_117 = e20 | all_0_121_121 = e20
% 12.95/3.59 | (341) ~ (all_0_134_134 = e10)
% 12.95/3.59 | (342) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0))
% 12.95/3.60 | (343) op2(all_0_97_97, e21) = all_0_47_47
% 12.95/3.60 | (344) h3(all_0_131_131) = all_0_28_28
% 12.95/3.60 | (345) all_0_135_135 = e13 | all_0_135_135 = e12 | all_0_135_135 = e11
% 12.95/3.60 | (346) h4(all_0_129_129) = all_0_4_4
% 12.95/3.60 | (347) h2(e13) = e21
% 12.95/3.60 | (348) ( ~ (all_0_126_126 = e12) & ~ (all_0_133_133 = e10)) | ( ~ (all_0_127_127 = e12) & ~ (all_0_131_131 = e11)) | ( ~ (all_0_128_128 = e11) & ~ (all_0_132_132 = e10))
% 12.95/3.60 | (349) h2(all_0_135_135) = all_0_62_62
% 12.95/3.60 | (350) op1(e13, e10) = e10
% 12.95/3.60 | (351) ~ (e22 = e10)
% 12.95/3.60 | (352) h4(all_0_134_134) = all_0_9_9
% 12.95/3.60 | (353) op2(all_0_124_124, all_0_91_91) = all_0_71_71
% 12.95/3.60 | (354) all_0_119_119 = e22 | all_0_119_119 = e21
% 12.95/3.60 | (355) op2(all_0_93_93, all_0_93_93) = all_0_25_25
% 12.95/3.60 | (356) all_0_114_114 = e23 | all_0_115_115 = e23 | all_0_116_116 = e23
% 12.95/3.60 | (357) h4(all_0_135_135) = all_0_10_10
% 12.95/3.60 |
% 13.32/3.60 | Instantiating formula (169) with all_0_124_124, all_0_102_102, all_0_91_91, all_0_70_70 and discharging atoms op2(all_0_124_124, all_0_102_102) = all_0_70_70, op2(all_0_124_124, all_0_102_102) = all_0_91_91, yields:
% 13.32/3.60 | (358) all_0_70_70 = all_0_91_91
% 13.32/3.60 |
% 13.32/3.60 | Instantiating formula (169) with e22, all_0_115_115, all_0_93_93, all_0_11_11 and discharging atoms op2(e22, all_0_115_115) = all_0_11_11, op2(e22, all_0_115_115) = all_0_93_93, yields:
% 13.32/3.60 | (359) all_0_11_11 = all_0_93_93
% 13.32/3.60 |
% 13.32/3.60 | Instantiating formula (169) with e21, all_0_119_119, all_0_97_97, all_0_37_37 and discharging atoms op2(e21, all_0_119_119) = all_0_37_37, op2(e21, all_0_119_119) = all_0_97_97, yields:
% 13.32/3.60 | (360) all_0_37_37 = all_0_97_97
% 13.32/3.60 |
% 13.32/3.60 | Instantiating formula (169) with e20, all_0_124_124, all_0_102_102, all_0_63_63 and discharging atoms op2(e20, all_0_124_124) = all_0_63_63, op2(e20, all_0_124_124) = all_0_102_102, yields:
% 13.32/3.60 | (361) all_0_63_63 = all_0_102_102
% 13.32/3.60 |
% 13.32/3.60 | From (358) and (333) follows:
% 13.32/3.60 | (92) op2(all_0_124_124, all_0_102_102) = all_0_91_91
% 13.32/3.60 |
% 13.32/3.60 | From (359) and (321) follows:
% 13.32/3.60 | (79) op2(e22, all_0_115_115) = all_0_93_93
% 13.32/3.60 |
% 13.32/3.60 | From (360) and (309) follows:
% 13.32/3.60 | (167) op2(e21, all_0_119_119) = all_0_97_97
% 13.32/3.60 |
% 13.32/3.60 | From (361) and (142) follows:
% 13.32/3.60 | (131) op2(e20, all_0_124_124) = all_0_102_102
% 13.32/3.60 |
% 13.32/3.60 +-Applying beta-rule and splitting (318), into two cases.
% 13.32/3.60 |-Branch one:
% 13.32/3.60 | (366) all_0_114_114 = e21
% 13.32/3.60 |
% 13.32/3.60 | Equations (366) can reduce 32 to:
% 13.32/3.60 | (367) ~ (all_0_115_115 = e21)
% 13.32/3.60 |
% 13.32/3.60 | Simplifying 367 yields:
% 13.32/3.60 | (259) ~ (all_0_115_115 = e21)
% 13.32/3.60 |
% 13.32/3.60 | Equations (366) can reduce 23 to:
% 13.32/3.60 | (369) ~ (all_0_117_117 = e21)
% 13.32/3.60 |
% 13.32/3.60 | Simplifying 369 yields:
% 13.32/3.60 | (370) ~ (all_0_117_117 = e21)
% 13.32/3.60 |
% 13.32/3.60 | Equations (366) can reduce 239 to:
% 13.32/3.60 | (371) ~ (all_0_121_121 = e21)
% 13.32/3.60 |
% 13.32/3.60 | Simplifying 371 yields:
% 13.32/3.60 | (372) ~ (all_0_121_121 = e21)
% 13.32/3.60 |
% 13.32/3.60 | From (366) and (28) follows:
% 13.32/3.60 | (373) op2(e22, e21) = all_0_92_92
% 13.32/3.60 |
% 13.32/3.60 | From (366) and (166) follows:
% 13.32/3.60 | (374) op2(e22, e23) = e21
% 13.32/3.60 |
% 13.32/3.60 | Instantiating formula (169) with e22, e21, all_0_92_92, e20 and discharging atoms op2(e22, e21) = all_0_92_92, op2(e22, e21) = e20, yields:
% 13.32/3.60 | (375) all_0_92_92 = e20
% 13.32/3.60 |
% 13.32/3.60 +-Applying beta-rule and splitting (354), into two cases.
% 13.32/3.60 |-Branch one:
% 13.32/3.60 | (376) all_0_119_119 = e21
% 13.32/3.60 |
% 13.32/3.60 | Equations (376) can reduce 160 to:
% 13.32/3.60 | (370) ~ (all_0_117_117 = e21)
% 13.32/3.60 |
% 13.32/3.60 | Equations (376) can reduce 269 to:
% 13.32/3.60 | (137) ~ (all_0_118_118 = e21)
% 13.32/3.60 |
% 13.32/3.60 | Equations (376) can reduce 184 to:
% 13.32/3.60 | (379) ~ (all_0_123_123 = e21)
% 13.32/3.60 |
% 13.32/3.60 | Simplifying 379 yields:
% 13.32/3.60 | (380) ~ (all_0_123_123 = e21)
% 13.32/3.60 |
% 13.32/3.60 | Equations (376) can reduce 102 to:
% 13.32/3.60 | (381) ~ (e23 = e21)
% 13.32/3.60 |
% 13.32/3.60 | Simplifying 381 yields:
% 13.32/3.60 | (270) ~ (e23 = e21)
% 13.32/3.60 |
% 13.32/3.60 +-Applying beta-rule and splitting (225), into two cases.
% 13.32/3.60 |-Branch one:
% 13.32/3.60 | (383) all_0_123_123 = e21
% 13.32/3.60 |
% 13.32/3.60 | Equations (383) can reduce 380 to:
% 13.32/3.60 | (384) $false
% 13.32/3.60 |
% 13.32/3.60 |-The branch is then unsatisfiable
% 13.32/3.60 |-Branch two:
% 13.32/3.60 | (380) ~ (all_0_123_123 = e21)
% 13.32/3.60 | (386) all_0_123_123 = e22
% 13.32/3.60 |
% 13.32/3.60 | Equations (386) can reduce 11 to:
% 13.32/3.60 | (387) ~ (all_0_122_122 = e22)
% 13.32/3.60 |
% 13.32/3.60 | Equations (386) can reduce 185 to:
% 13.32/3.60 | (388) ~ (e23 = e22)
% 13.32/3.60 |
% 13.32/3.60 | Simplifying 388 yields:
% 13.32/3.60 | (22) ~ (e23 = e22)
% 13.32/3.60 |
% 13.32/3.60 | Equations (386) can reduce 380 to:
% 13.32/3.60 | (229) ~ (e22 = e21)
% 13.32/3.60 |
% 13.32/3.60 | From (386) and (219) follows:
% 13.32/3.60 | (391) op2(e20, e22) = all_0_101_101
% 13.32/3.60 |
% 13.32/3.60 | From (386) and (178) follows:
% 13.32/3.60 | (392) op2(e20, e21) = e22
% 13.32/3.60 |
% 13.32/3.60 +-Applying beta-rule and splitting (192), into two cases.
% 13.32/3.60 |-Branch one:
% 13.32/3.60 | (393) all_0_121_121 = e21
% 13.32/3.60 |
% 13.32/3.60 | Equations (393) can reduce 372 to:
% 13.32/3.60 | (384) $false
% 13.32/3.60 |
% 13.32/3.60 |-The branch is then unsatisfiable
% 13.32/3.60 |-Branch two:
% 13.32/3.60 | (372) ~ (all_0_121_121 = e21)
% 13.32/3.60 | (396) all_0_123_123 = e21 | all_0_124_124 = e21
% 13.32/3.61 |
% 13.32/3.61 +-Applying beta-rule and splitting (396), into two cases.
% 13.32/3.61 |-Branch one:
% 13.32/3.61 | (383) all_0_123_123 = e21
% 13.32/3.61 |
% 13.32/3.61 | Combining equations (383,386) yields a new equation:
% 13.32/3.61 | (398) e22 = e21
% 13.32/3.61 |
% 13.32/3.61 | Equations (398) can reduce 229 to:
% 13.32/3.61 | (384) $false
% 13.32/3.61 |
% 13.32/3.61 |-The branch is then unsatisfiable
% 13.32/3.61 |-Branch two:
% 13.32/3.61 | (380) ~ (all_0_123_123 = e21)
% 13.32/3.61 | (401) all_0_124_124 = e21
% 13.32/3.61 |
% 13.32/3.61 | Equations (401) can reduce 34 to:
% 13.32/3.61 | (402) ~ (all_0_120_120 = e21)
% 13.32/3.61 |
% 13.32/3.61 | Equations (401) can reduce 317 to:
% 13.32/3.61 | (372) ~ (all_0_121_121 = e21)
% 13.32/3.61 |
% 13.32/3.61 | From (401) and (92) follows:
% 13.32/3.61 | (404) op2(e21, all_0_102_102) = all_0_91_91
% 13.32/3.61 |
% 13.32/3.61 | From (401) and (131) follows:
% 13.32/3.61 | (405) op2(e20, e21) = all_0_102_102
% 13.32/3.61 |
% 13.32/3.61 | From (401) and (283) follows:
% 13.32/3.61 | (406) op2(e20, e20) = e21
% 13.32/3.61 |
% 13.32/3.61 | Instantiating formula (169) with e20, e22, all_0_101_101, all_0_122_122 and discharging atoms op2(e20, e22) = all_0_101_101, op2(e20, e22) = all_0_122_122, yields:
% 13.32/3.61 | (407) all_0_101_101 = all_0_122_122
% 13.32/3.61 |
% 13.32/3.61 | Instantiating formula (169) with e20, e21, e22, all_0_102_102 and discharging atoms op2(e20, e21) = all_0_102_102, op2(e20, e21) = e22, yields:
% 13.32/3.61 | (408) all_0_102_102 = e22
% 13.32/3.61 |
% 13.32/3.61 | From (408) and (40) follows:
% 13.32/3.61 | (409) op2(all_0_91_91, e22) = all_0_85_85
% 13.32/3.61 |
% 13.32/3.61 | From (408) and (327) follows:
% 13.32/3.61 | (410) op2(e22, all_0_91_91) = all_0_79_79
% 13.32/3.61 |
% 13.32/3.61 | From (408)(408) and (186) follows:
% 13.32/3.61 | (411) op2(e22, e22) = all_0_77_77
% 13.32/3.61 |
% 13.32/3.61 | From (408) and (404) follows:
% 13.32/3.61 | (412) op2(e21, e22) = all_0_91_91
% 13.32/3.61 |
% 13.32/3.61 | Instantiating formula (169) with e22, e22, all_0_77_77, all_0_115_115 and discharging atoms op2(e22, e22) = all_0_77_77, op2(e22, e22) = all_0_115_115, yields:
% 13.32/3.61 | (413) all_0_77_77 = all_0_115_115
% 13.32/3.61 |
% 13.32/3.61 | Instantiating formula (169) with e21, e22, all_0_91_91, all_0_118_118 and discharging atoms op2(e21, e22) = all_0_91_91, op2(e21, e22) = all_0_118_118, yields:
% 13.32/3.61 | (414) all_0_91_91 = all_0_118_118
% 13.32/3.61 |
% 13.32/3.61 | From (414)(414) and (127) follows:
% 13.32/3.61 | (415) op2(all_0_118_118, all_0_118_118) = all_0_87_87
% 13.32/3.61 |
% 13.32/3.61 | From (414) and (409) follows:
% 13.32/3.61 | (416) op2(all_0_118_118, e22) = all_0_85_85
% 13.32/3.61 |
% 13.32/3.61 | From (414) and (101) follows:
% 13.32/3.61 | (417) op2(all_0_118_118, e20) = all_0_81_81
% 13.32/3.61 |
% 13.32/3.61 | From (414) and (410) follows:
% 13.32/3.61 | (418) op2(e22, all_0_118_118) = all_0_79_79
% 13.32/3.61 |
% 13.32/3.61 | From (413) and (411) follows:
% 13.32/3.61 | (116) op2(e22, e22) = all_0_115_115
% 13.32/3.61 |
% 13.32/3.61 | From (414) and (183) follows:
% 13.32/3.61 | (420) op2(e20, all_0_118_118) = all_0_65_65
% 13.32/3.61 |
% 13.32/3.61 +-Applying beta-rule and splitting (330), into two cases.
% 13.32/3.61 |-Branch one:
% 13.32/3.61 | (421) all_0_115_115 = e22
% 13.32/3.61 |
% 13.32/3.61 | Equations (421) can reduce 95 to:
% 13.32/3.61 | (422) ~ (all_0_122_122 = e22)
% 13.32/3.61 |
% 13.32/3.61 | Simplifying 422 yields:
% 13.32/3.61 | (387) ~ (all_0_122_122 = e22)
% 13.32/3.61 |
% 13.32/3.61 +-Applying beta-rule and splitting (356), into two cases.
% 13.32/3.61 |-Branch one:
% 13.32/3.61 | (424) all_0_114_114 = e23
% 13.32/3.61 |
% 13.32/3.61 | Combining equations (366,424) yields a new equation:
% 13.32/3.61 | (425) e23 = e21
% 13.32/3.61 |
% 13.32/3.61 | Equations (425) can reduce 270 to:
% 13.32/3.61 | (384) $false
% 13.32/3.61 |
% 13.32/3.61 |-The branch is then unsatisfiable
% 13.32/3.61 |-Branch two:
% 13.32/3.61 | (427) ~ (all_0_114_114 = e23)
% 13.32/3.61 | (428) all_0_115_115 = e23 | all_0_116_116 = e23
% 13.32/3.61 |
% 13.32/3.61 +-Applying beta-rule and splitting (428), into two cases.
% 13.32/3.61 |-Branch one:
% 13.32/3.61 | (429) all_0_115_115 = e23
% 13.32/3.61 |
% 13.32/3.61 | Combining equations (421,429) yields a new equation:
% 13.32/3.61 | (430) e23 = e22
% 13.32/3.61 |
% 13.32/3.61 | Equations (430) can reduce 22 to:
% 13.32/3.61 | (384) $false
% 13.32/3.61 |
% 13.32/3.61 |-The branch is then unsatisfiable
% 13.32/3.61 |-Branch two:
% 13.32/3.61 | (432) ~ (all_0_115_115 = e23)
% 13.32/3.61 | (433) all_0_116_116 = e23
% 13.32/3.61 |
% 13.32/3.61 | Equations (433) can reduce 253 to:
% 13.32/3.61 | (434) ~ (all_0_120_120 = e23)
% 13.32/3.61 |
% 13.32/3.61 | Simplifying 434 yields:
% 13.32/3.61 | (435) ~ (all_0_120_120 = e23)
% 13.32/3.61 |
% 13.32/3.61 | Equations (433) can reduce 278 to:
% 13.32/3.61 | (254) ~ (e23 = e20)
% 13.32/3.61 |
% 13.32/3.61 +-Applying beta-rule and splitting (201), into two cases.
% 13.32/3.61 |-Branch one:
% 13.32/3.61 | (437) all_0_120_120 = e21
% 13.32/3.61 |
% 13.32/3.61 | Equations (437) can reduce 402 to:
% 13.32/3.61 | (384) $false
% 13.32/3.61 |
% 13.32/3.61 |-The branch is then unsatisfiable
% 13.32/3.61 |-Branch two:
% 13.32/3.61 | (402) ~ (all_0_120_120 = e21)
% 13.32/3.61 | (440) all_0_120_120 = e23 | all_0_120_120 = e22
% 13.32/3.61 |
% 13.32/3.61 +-Applying beta-rule and splitting (440), into two cases.
% 13.32/3.61 |-Branch one:
% 13.32/3.61 | (441) all_0_120_120 = e22
% 13.32/3.61 |
% 13.32/3.61 | Equations (441) can reduce 215 to:
% 13.32/3.61 | (442) ~ (all_0_118_118 = e22)
% 13.32/3.61 |
% 13.32/3.61 | Equations (441) can reduce 435 to:
% 13.32/3.61 | (388) ~ (e23 = e22)
% 13.32/3.61 |
% 13.32/3.61 | Simplifying 388 yields:
% 13.32/3.61 | (22) ~ (e23 = e22)
% 13.32/3.61 |
% 13.32/3.61 +-Applying beta-rule and splitting (77), into two cases.
% 13.32/3.61 |-Branch one:
% 13.32/3.61 | (445) all_0_130_130 = e12
% 13.32/3.61 |
% 13.32/3.61 | Equations (445) can reduce 264 to:
% 13.32/3.61 | (446) ~ (all_0_129_129 = e12)
% 13.32/3.61 |
% 13.32/3.61 | Equations (445) can reduce 156 to:
% 13.32/3.61 | (447) ~ (all_0_131_131 = e12)
% 13.32/3.61 |
% 13.32/3.61 | Simplifying 447 yields:
% 13.32/3.61 | (448) ~ (all_0_131_131 = e12)
% 13.32/3.61 |
% 13.32/3.61 | Equations (445) can reduce 14 to:
% 13.32/3.61 | (449) ~ (all_0_134_134 = e12)
% 13.32/3.61 |
% 13.32/3.61 | Simplifying 449 yields:
% 13.32/3.61 | (450) ~ (all_0_134_134 = e12)
% 13.32/3.61 |
% 13.32/3.61 | From (445) and (70) follows:
% 13.32/3.61 | (451) op1(e11, e12) = all_0_108_108
% 13.32/3.61 |
% 13.32/3.61 | From (445) and (108) follows:
% 13.32/3.61 | (452) op1(e11, e11) = e12
% 13.32/3.61 |
% 13.32/3.61 +-Applying beta-rule and splitting (234), into two cases.
% 13.32/3.61 |-Branch one:
% 13.32/3.61 | (453) all_0_134_134 = e11
% 13.32/3.61 |
% 13.32/3.61 | Equations (453) can reduce 157 to:
% 13.32/3.61 | (249) ~ (all_0_133_133 = e11)
% 13.32/3.61 |
% 13.32/3.61 | Equations (453) can reduce 450 to:
% 13.32/3.61 | (455) ~ (e12 = e11)
% 13.32/3.61 |
% 13.32/3.61 | Simplifying 455 yields:
% 13.32/3.61 | (303) ~ (e12 = e11)
% 13.32/3.61 |
% 13.32/3.61 | Instantiating formula (311) with e11, e12, all_0_108_108, all_0_129_129 and discharging atoms op1(e11, e12) = all_0_108_108, op1(e11, e12) = all_0_129_129, yields:
% 13.32/3.61 | (457) all_0_108_108 = all_0_129_129
% 13.32/3.61 |
% 13.32/3.61 +-Applying beta-rule and splitting (304), into two cases.
% 13.32/3.61 |-Branch one:
% 13.32/3.62 | (458) all_0_125_125 = e11
% 13.32/3.62 |
% 13.32/3.62 | Equations (458) can reduce 191 to:
% 13.32/3.62 | (459) ~ (all_0_126_126 = e11)
% 13.32/3.62 |
% 13.32/3.62 | Simplifying 459 yields:
% 13.32/3.62 | (51) ~ (all_0_126_126 = e11)
% 13.32/3.62 |
% 13.32/3.62 | Equations (458) can reduce 132 to:
% 13.32/3.62 | (461) ~ (all_0_128_128 = e11)
% 13.32/3.62 |
% 13.32/3.62 | Simplifying 461 yields:
% 13.32/3.62 | (462) ~ (all_0_128_128 = e11)
% 13.32/3.62 |
% 13.32/3.62 | Equations (458) can reduce 326 to:
% 13.32/3.62 | (463) ~ (all_0_132_132 = e11)
% 13.32/3.62 |
% 13.32/3.62 | Simplifying 463 yields:
% 13.32/3.62 | (464) ~ (all_0_132_132 = e11)
% 13.32/3.62 |
% 13.32/3.62 | Equations (458) can reduce 60 to:
% 13.32/3.62 | (455) ~ (e12 = e11)
% 13.32/3.62 |
% 13.32/3.62 | Simplifying 455 yields:
% 13.32/3.62 | (303) ~ (e12 = e11)
% 13.32/3.62 |
% 13.32/3.62 | From (458) and (332) follows:
% 13.32/3.62 | (467) op1(e12, e11) = all_0_103_103
% 13.32/3.62 |
% 13.32/3.62 | From (458) and (49) follows:
% 13.32/3.62 | (468) op1(e12, e13) = e11
% 13.32/3.62 |
% 13.32/3.62 +-Applying beta-rule and splitting (123), into two cases.
% 13.32/3.62 |-Branch one:
% 13.32/3.62 | (469) all_0_128_128 = e11
% 13.32/3.62 |
% 13.32/3.62 | Equations (469) can reduce 462 to:
% 13.32/3.62 | (384) $false
% 13.32/3.62 |
% 13.32/3.62 |-The branch is then unsatisfiable
% 13.32/3.62 |-Branch two:
% 13.32/3.62 | (462) ~ (all_0_128_128 = e11)
% 13.32/3.62 | (472) all_0_130_130 = e11 | all_0_131_131 = e11
% 13.32/3.62 |
% 13.32/3.62 +-Applying beta-rule and splitting (472), into two cases.
% 13.32/3.62 |-Branch one:
% 13.32/3.62 | (473) all_0_130_130 = e11
% 13.32/3.62 |
% 13.32/3.62 | Combining equations (445,473) yields a new equation:
% 13.32/3.62 | (474) e12 = e11
% 13.32/3.62 |
% 13.32/3.62 | Simplifying 474 yields:
% 13.32/3.62 | (475) e12 = e11
% 13.32/3.62 |
% 13.32/3.62 | Equations (475) can reduce 303 to:
% 13.32/3.62 | (384) $false
% 13.32/3.62 |
% 13.32/3.62 |-The branch is then unsatisfiable
% 13.32/3.62 |-Branch two:
% 13.32/3.62 | (477) ~ (all_0_130_130 = e11)
% 13.32/3.62 | (478) all_0_131_131 = e11
% 13.32/3.62 |
% 13.32/3.62 | Equations (478) can reduce 78 to:
% 13.32/3.62 | (479) ~ (all_0_127_127 = e11)
% 13.32/3.62 |
% 13.32/3.62 | Equations (478) can reduce 144 to:
% 13.32/3.62 | (462) ~ (all_0_128_128 = e11)
% 13.32/3.62 |
% 13.32/3.62 | Equations (478) can reduce 314 to:
% 13.32/3.62 | (284) ~ (all_0_129_129 = e11)
% 13.32/3.62 |
% 13.32/3.62 | From (478) and (266) follows:
% 13.32/3.62 | (482) op1(e11, e11) = all_0_109_109
% 13.32/3.62 |
% 13.32/3.62 | From (478) and (315) follows:
% 13.32/3.62 | (483) op1(e11, e10) = e11
% 13.32/3.62 |
% 13.32/3.62 | Instantiating formula (311) with e12, e11, all_0_103_103, e10 and discharging atoms op1(e12, e11) = all_0_103_103, op1(e12, e11) = e10, yields:
% 13.32/3.62 | (484) all_0_103_103 = e10
% 13.32/3.62 |
% 13.32/3.62 | Instantiating formula (311) with e11, e11, all_0_109_109, e12 and discharging atoms op1(e11, e11) = all_0_109_109, op1(e11, e11) = e12, yields:
% 13.32/3.62 | (485) all_0_109_109 = e12
% 13.32/3.62 |
% 13.32/3.62 +-Applying beta-rule and splitting (90), into two cases.
% 13.32/3.62 |-Branch one:
% 13.32/3.62 | (486) all_0_126_126 = e12
% 13.32/3.62 |
% 13.32/3.62 | Equations (486) can reduce 98 to:
% 13.32/3.62 | (487) ~ (all_0_127_127 = e12)
% 13.32/3.62 |
% 13.32/3.62 | Simplifying 487 yields:
% 13.32/3.62 | (488) ~ (all_0_127_127 = e12)
% 13.32/3.62 |
% 13.32/3.62 | Equations (486) can reduce 265 to:
% 13.32/3.62 | (489) ~ (all_0_133_133 = e12)
% 13.32/3.62 |
% 13.32/3.62 | Simplifying 489 yields:
% 13.32/3.62 | (490) ~ (all_0_133_133 = e12)
% 13.32/3.62 |
% 13.32/3.62 | Equations (486) can reduce 51 to:
% 13.32/3.62 | (303) ~ (e12 = e11)
% 13.32/3.62 |
% 13.32/3.62 +-Applying beta-rule and splitting (138), into two cases.
% 13.32/3.62 |-Branch one:
% 13.32/3.62 | (492) all_0_127_127 = e12
% 13.32/3.62 |
% 13.32/3.62 | Equations (492) can reduce 488 to:
% 13.32/3.62 | (384) $false
% 13.32/3.62 |
% 13.32/3.62 |-The branch is then unsatisfiable
% 13.32/3.62 |-Branch two:
% 13.32/3.62 | (488) ~ (all_0_127_127 = e12)
% 13.32/3.62 | (495) all_0_131_131 = e12 | all_0_135_135 = e12
% 13.32/3.62 |
% 13.32/3.62 +-Applying beta-rule and splitting (31), into two cases.
% 13.32/3.62 |-Branch one:
% 13.32/3.62 | (496) all_0_133_133 = e12
% 13.32/3.62 |
% 13.32/3.62 | Equations (496) can reduce 490 to:
% 13.32/3.62 | (384) $false
% 13.32/3.62 |
% 13.32/3.62 |-The branch is then unsatisfiable
% 13.32/3.62 |-Branch two:
% 13.32/3.62 | (490) ~ (all_0_133_133 = e12)
% 13.32/3.62 | (499) all_0_134_134 = e12 | all_0_135_135 = e12
% 13.32/3.62 |
% 13.32/3.62 +-Applying beta-rule and splitting (203), into two cases.
% 13.32/3.62 |-Branch one:
% 13.32/3.62 | (500) all_0_127_127 = e11
% 13.32/3.62 |
% 13.32/3.62 | Equations (500) can reduce 479 to:
% 13.32/3.62 | (384) $false
% 13.32/3.62 |
% 13.32/3.62 |-The branch is then unsatisfiable
% 13.32/3.62 |-Branch two:
% 13.32/3.62 | (479) ~ (all_0_127_127 = e11)
% 13.32/3.62 | (503) all_0_127_127 = e13 | all_0_127_127 = e12
% 13.32/3.62 |
% 13.32/3.62 +-Applying beta-rule and splitting (503), into two cases.
% 13.32/3.62 |-Branch one:
% 13.32/3.62 | (492) all_0_127_127 = e12
% 13.32/3.62 |
% 13.32/3.62 | Equations (492) can reduce 488 to:
% 13.32/3.62 | (384) $false
% 13.32/3.62 |
% 13.32/3.62 |-The branch is then unsatisfiable
% 13.32/3.62 |-Branch two:
% 13.32/3.62 | (488) ~ (all_0_127_127 = e12)
% 13.32/3.62 | (507) all_0_127_127 = e13
% 13.32/3.62 |
% 13.32/3.62 | Equations (507) can reduce 24 to:
% 13.32/3.62 | (508) ~ (all_0_135_135 = e13)
% 13.32/3.62 |
% 13.32/3.62 | Simplifying 508 yields:
% 13.32/3.62 | (509) ~ (all_0_135_135 = e13)
% 13.32/3.62 |
% 13.32/3.62 | Equations (507) can reduce 479 to:
% 13.32/3.62 | (337) ~ (e13 = e11)
% 13.32/3.62 |
% 13.32/3.62 | Equations (507) can reduce 2 to:
% 13.32/3.62 | (187) ~ (e13 = e10)
% 13.32/3.62 |
% 13.32/3.62 +-Applying beta-rule and splitting (348), into two cases.
% 13.32/3.62 |-Branch one:
% 13.32/3.62 | (512) ( ~ (all_0_126_126 = e12) & ~ (all_0_133_133 = e10)) | ( ~ (all_0_127_127 = e12) & ~ (all_0_131_131 = e11))
% 13.32/3.62 |
% 13.32/3.62 +-Applying beta-rule and splitting (512), into two cases.
% 13.32/3.62 |-Branch one:
% 13.32/3.62 | (513) ~ (all_0_126_126 = e12) & ~ (all_0_133_133 = e10)
% 13.32/3.62 |
% 13.32/3.62 | Applying alpha-rule on (513) yields:
% 13.32/3.62 | (514) ~ (all_0_126_126 = e12)
% 13.32/3.62 | (515) ~ (all_0_133_133 = e10)
% 13.32/3.62 |
% 13.32/3.62 | Equations (486) can reduce 514 to:
% 13.32/3.62 | (384) $false
% 13.32/3.62 |
% 13.32/3.62 |-The branch is then unsatisfiable
% 13.32/3.62 |-Branch two:
% 13.32/3.62 | (517) ~ (all_0_127_127 = e12) & ~ (all_0_131_131 = e11)
% 13.32/3.62 |
% 13.32/3.62 | Applying alpha-rule on (517) yields:
% 13.32/3.62 | (488) ~ (all_0_127_127 = e12)
% 13.32/3.62 | (519) ~ (all_0_131_131 = e11)
% 13.32/3.62 |
% 13.32/3.62 | Equations (478) can reduce 519 to:
% 13.32/3.62 | (384) $false
% 13.32/3.62 |
% 13.32/3.62 |-The branch is then unsatisfiable
% 13.32/3.62 |-Branch two:
% 13.32/3.62 | (521) ~ (all_0_128_128 = e11) & ~ (all_0_132_132 = e10)
% 13.32/3.62 |
% 13.32/3.62 | Applying alpha-rule on (521) yields:
% 13.32/3.62 | (462) ~ (all_0_128_128 = e11)
% 13.32/3.62 | (523) ~ (all_0_132_132 = e10)
% 13.32/3.62 |
% 13.32/3.62 +-Applying beta-rule and splitting (230), into two cases.
% 13.32/3.62 |-Branch one:
% 13.32/3.62 | (524) all_0_128_128 = e10
% 13.32/3.62 |
% 13.32/3.62 | Equations (524) can reduce 139 to:
% 13.32/3.62 | (525) ~ (all_0_129_129 = e10)
% 13.32/3.62 |
% 13.32/3.62 | Simplifying 525 yields:
% 13.32/3.62 | (526) ~ (all_0_129_129 = e10)
% 13.32/3.62 |
% 13.32/3.62 | From (524) and (279) follows:
% 13.32/3.62 | (527) op1(e11, e10) = all_0_106_106
% 13.32/3.62 |
% 13.32/3.62 | From (524) and (292) follows:
% 13.32/3.63 | (528) op1(e11, e13) = e10
% 13.32/3.63 |
% 13.32/3.63 +-Applying beta-rule and splitting (140), into two cases.
% 13.32/3.63 |-Branch one:
% 13.32/3.63 | (529) all_0_129_129 = e10
% 13.32/3.63 |
% 13.32/3.63 | Equations (529) can reduce 526 to:
% 13.32/3.63 | (384) $false
% 13.32/3.63 |
% 13.32/3.63 |-The branch is then unsatisfiable
% 13.32/3.63 |-Branch two:
% 13.32/3.63 | (526) ~ (all_0_129_129 = e10)
% 13.32/3.63 | (532) all_0_133_133 = e10
% 13.32/3.63 |
% 13.32/3.63 | Equations (532) can reduce 150 to:
% 13.32/3.63 | (526) ~ (all_0_129_129 = e10)
% 13.32/3.63 |
% 13.32/3.63 | Equations (532) can reduce 334 to:
% 13.32/3.63 | (534) ~ (all_0_135_135 = e10)
% 13.32/3.63 |
% 13.32/3.63 | Simplifying 534 yields:
% 13.32/3.63 | (80) ~ (all_0_135_135 = e10)
% 13.32/3.63 |
% 13.32/3.63 +-Applying beta-rule and splitting (148), into two cases.
% 13.32/3.63 |-Branch one:
% 13.32/3.63 | (536) all_0_128_128 = e13
% 13.32/3.63 |
% 13.32/3.63 | Combining equations (524,536) yields a new equation:
% 13.32/3.63 | (537) e13 = e10
% 13.32/3.63 |
% 13.32/3.63 | Equations (537) can reduce 187 to:
% 13.32/3.63 | (384) $false
% 13.32/3.63 |
% 13.32/3.63 |-The branch is then unsatisfiable
% 13.32/3.63 |-Branch two:
% 13.32/3.63 | (539) ~ (all_0_128_128 = e13)
% 13.32/3.63 | (540) all_0_129_129 = e13 | all_0_131_131 = e13
% 13.32/3.63 |
% 13.32/3.63 +-Applying beta-rule and splitting (170), into two cases.
% 13.32/3.63 |-Branch one:
% 13.32/3.63 | (541) all_0_132_132 = e13
% 13.32/3.63 |
% 13.32/3.63 | Equations (541) can reduce 464 to:
% 13.32/3.63 | (337) ~ (e13 = e11)
% 13.32/3.63 |
% 13.32/3.63 +-Applying beta-rule and splitting (540), into two cases.
% 13.32/3.63 |-Branch one:
% 13.32/3.63 | (543) all_0_129_129 = e13
% 13.32/3.63 |
% 13.32/3.63 | Combining equations (543,457) yields a new equation:
% 13.32/3.63 | (544) all_0_108_108 = e13
% 13.32/3.63 |
% 13.32/3.63 | Equations (543) can reduce 284 to:
% 13.32/3.63 | (337) ~ (e13 = e11)
% 13.32/3.63 |
% 13.32/3.63 | From (543) and (339) follows:
% 13.32/3.63 | (546) op1(e11, e13) = all_0_107_107
% 13.32/3.63 |
% 13.32/3.63 +-Applying beta-rule and splitting (495), into two cases.
% 13.32/3.63 |-Branch one:
% 13.32/3.63 | (547) all_0_131_131 = e12
% 13.32/3.63 |
% 13.32/3.63 | Combining equations (547,478) yields a new equation:
% 13.32/3.63 | (474) e12 = e11
% 13.32/3.63 |
% 13.32/3.63 | Simplifying 474 yields:
% 13.32/3.63 | (475) e12 = e11
% 13.32/3.63 |
% 13.32/3.63 | Equations (475) can reduce 303 to:
% 13.32/3.63 | (384) $false
% 13.32/3.63 |
% 13.32/3.63 |-The branch is then unsatisfiable
% 13.32/3.63 |-Branch two:
% 13.32/3.63 | (448) ~ (all_0_131_131 = e12)
% 13.32/3.63 | (552) all_0_135_135 = e12
% 13.32/3.63 |
% 13.32/3.63 | Equations (552) can reduce 80 to:
% 13.32/3.63 | (158) ~ (e12 = e10)
% 13.32/3.63 |
% 13.32/3.63 | Instantiating formula (311) with e11, e13, e10, all_0_107_107 and discharging atoms op1(e11, e13) = all_0_107_107, op1(e11, e13) = e10, yields:
% 13.32/3.63 | (554) all_0_107_107 = e10
% 13.32/3.63 |
% 13.32/3.63 | Instantiating formula (311) with e11, e10, all_0_106_106, e11 and discharging atoms op1(e11, e10) = all_0_106_106, op1(e11, e10) = e11, yields:
% 13.32/3.63 | (555) all_0_106_106 = e11
% 13.32/3.63 |
% 13.32/3.63 +-Applying beta-rule and splitting (145), into two cases.
% 13.32/3.63 |-Branch one:
% 13.32/3.63 | (556) all_0_108_108 = e11
% 13.32/3.63 |
% 13.32/3.63 | Combining equations (556,544) yields a new equation:
% 13.32/3.63 | (557) e13 = e11
% 13.32/3.63 |
% 13.32/3.63 | Equations (557) can reduce 337 to:
% 13.32/3.63 | (384) $false
% 13.32/3.63 |
% 13.32/3.63 |-The branch is then unsatisfiable
% 13.32/3.63 |-Branch two:
% 13.32/3.63 | (559) ~ (all_0_108_108 = e11)
% 13.32/3.63 | (560) all_0_106_106 = e13 | all_0_107_107 = e12 | all_0_109_109 = e10
% 13.32/3.63 |
% 13.32/3.63 | Equations (544) can reduce 559 to:
% 13.32/3.63 | (337) ~ (e13 = e11)
% 13.32/3.63 |
% 13.32/3.63 +-Applying beta-rule and splitting (560), into two cases.
% 13.32/3.63 |-Branch one:
% 13.32/3.63 | (562) all_0_107_107 = e12
% 13.32/3.63 |
% 13.32/3.63 | Combining equations (554,562) yields a new equation:
% 13.32/3.63 | (563) e12 = e10
% 13.32/3.63 |
% 13.32/3.63 | Equations (563) can reduce 158 to:
% 13.32/3.63 | (384) $false
% 13.32/3.63 |
% 13.32/3.63 |-The branch is then unsatisfiable
% 13.32/3.63 |-Branch two:
% 13.32/3.63 | (565) ~ (all_0_107_107 = e12)
% 13.32/3.63 | (566) all_0_106_106 = e13 | all_0_109_109 = e10
% 13.32/3.63 |
% 13.32/3.63 | Equations (554) can reduce 565 to:
% 13.32/3.63 | (567) ~ (e12 = e10)
% 13.32/3.63 |
% 13.32/3.63 | Simplifying 567 yields:
% 13.32/3.63 | (158) ~ (e12 = e10)
% 13.32/3.63 |
% 13.32/3.63 +-Applying beta-rule and splitting (566), into two cases.
% 13.32/3.63 |-Branch one:
% 13.32/3.63 | (569) all_0_106_106 = e13
% 13.32/3.63 |
% 13.32/3.63 | Combining equations (569,555) yields a new equation:
% 13.32/3.63 | (570) e13 = e11
% 13.32/3.63 |
% 13.32/3.63 | Simplifying 570 yields:
% 13.32/3.63 | (557) e13 = e11
% 13.32/3.63 |
% 13.32/3.63 | Equations (557) can reduce 337 to:
% 13.32/3.63 | (384) $false
% 13.32/3.63 |
% 13.32/3.63 |-The branch is then unsatisfiable
% 13.32/3.63 |-Branch two:
% 13.32/3.63 | (573) ~ (all_0_106_106 = e13)
% 13.32/3.63 | (574) all_0_109_109 = e10
% 13.32/3.63 |
% 13.32/3.63 | Combining equations (574,485) yields a new equation:
% 13.32/3.63 | (563) e12 = e10
% 13.32/3.63 |
% 13.32/3.63 | Equations (563) can reduce 158 to:
% 13.32/3.63 | (384) $false
% 13.32/3.63 |
% 13.32/3.63 |-The branch is then unsatisfiable
% 13.32/3.63 |-Branch two:
% 13.32/3.63 | (577) ~ (all_0_129_129 = e13)
% 13.32/3.63 | (578) all_0_131_131 = e13
% 13.32/3.63 |
% 13.32/3.63 | Combining equations (578,478) yields a new equation:
% 13.32/3.63 | (570) e13 = e11
% 13.32/3.63 |
% 13.32/3.63 | Simplifying 570 yields:
% 13.32/3.63 | (557) e13 = e11
% 13.32/3.63 |
% 13.32/3.63 | Equations (557) can reduce 337 to:
% 13.32/3.63 | (384) $false
% 13.32/3.63 |
% 13.32/3.63 |-The branch is then unsatisfiable
% 13.32/3.63 |-Branch two:
% 13.32/3.63 | (582) ~ (all_0_132_132 = e13)
% 13.32/3.63 | (583) all_0_133_133 = e13 | all_0_135_135 = e13
% 13.32/3.63 |
% 13.32/3.63 +-Applying beta-rule and splitting (540), into two cases.
% 13.32/3.63 |-Branch one:
% 13.32/3.63 | (543) all_0_129_129 = e13
% 13.32/3.63 |
% 13.32/3.63 | Equations (543) can reduce 526 to:
% 13.32/3.63 | (187) ~ (e13 = e10)
% 13.32/3.63 |
% 13.32/3.63 +-Applying beta-rule and splitting (499), into two cases.
% 13.32/3.63 |-Branch one:
% 13.32/3.63 | (586) all_0_134_134 = e12
% 13.32/3.63 |
% 13.32/3.63 | Combining equations (586,453) yields a new equation:
% 13.32/3.63 | (474) e12 = e11
% 13.32/3.63 |
% 13.32/3.63 | Simplifying 474 yields:
% 13.32/3.63 | (475) e12 = e11
% 13.32/3.63 |
% 13.32/3.63 | Equations (475) can reduce 303 to:
% 13.32/3.63 | (384) $false
% 13.32/3.63 |
% 13.32/3.63 |-The branch is then unsatisfiable
% 13.32/3.63 |-Branch two:
% 13.32/3.63 | (450) ~ (all_0_134_134 = e12)
% 13.32/3.63 | (552) all_0_135_135 = e12
% 13.32/3.63 |
% 13.32/3.63 | Equations (552) can reduce 509 to:
% 13.32/3.63 | (592) ~ (e13 = e12)
% 13.32/3.63 |
% 13.32/3.63 | Simplifying 592 yields:
% 13.32/3.63 | (276) ~ (e13 = e12)
% 13.32/3.63 |
% 13.32/3.63 +-Applying beta-rule and splitting (583), into two cases.
% 13.32/3.63 |-Branch one:
% 13.32/3.63 | (594) all_0_133_133 = e13
% 13.32/3.63 |
% 13.32/3.63 | Combining equations (594,532) yields a new equation:
% 13.32/3.63 | (595) e13 = e10
% 13.32/3.64 |
% 13.32/3.64 | Simplifying 595 yields:
% 13.32/3.64 | (537) e13 = e10
% 13.32/3.64 |
% 13.32/3.64 | Equations (537) can reduce 187 to:
% 13.32/3.64 | (384) $false
% 13.32/3.64 |
% 13.32/3.64 |-The branch is then unsatisfiable
% 13.32/3.64 |-Branch two:
% 13.32/3.64 | (598) ~ (all_0_133_133 = e13)
% 13.32/3.64 | (599) all_0_135_135 = e13
% 13.32/3.64 |
% 13.32/3.64 | Combining equations (599,552) yields a new equation:
% 13.32/3.64 | (600) e13 = e12
% 13.32/3.64 |
% 13.32/3.64 | Simplifying 600 yields:
% 13.32/3.64 | (601) e13 = e12
% 13.32/3.64 |
% 13.32/3.64 | Equations (601) can reduce 276 to:
% 13.32/3.64 | (384) $false
% 13.32/3.64 |
% 13.32/3.64 |-The branch is then unsatisfiable
% 13.32/3.64 |-Branch two:
% 13.32/3.64 | (577) ~ (all_0_129_129 = e13)
% 13.32/3.64 | (578) all_0_131_131 = e13
% 13.32/3.64 |
% 13.32/3.64 | Combining equations (578,478) yields a new equation:
% 13.32/3.64 | (570) e13 = e11
% 13.32/3.64 |
% 13.32/3.64 | Simplifying 570 yields:
% 13.32/3.64 | (557) e13 = e11
% 13.32/3.64 |
% 13.32/3.64 | Equations (557) can reduce 337 to:
% 13.32/3.64 | (384) $false
% 13.32/3.64 |
% 13.32/3.64 |-The branch is then unsatisfiable
% 13.32/3.64 |-Branch two:
% 13.32/3.64 | (608) ~ (all_0_128_128 = e10)
% 13.32/3.64 | (609) all_0_132_132 = e10
% 13.32/3.64 |
% 13.32/3.64 | Equations (609) can reduce 523 to:
% 13.32/3.64 | (384) $false
% 13.32/3.64 |
% 13.32/3.64 |-The branch is then unsatisfiable
% 13.32/3.64 |-Branch two:
% 13.32/3.64 | (514) ~ (all_0_126_126 = e12)
% 13.32/3.64 | (612) all_0_126_126 = e13
% 13.32/3.64 |
% 13.32/3.64 | Equations (612) can reduce 98 to:
% 13.32/3.64 | (613) ~ (all_0_127_127 = e13)
% 13.32/3.64 |
% 13.32/3.64 | Simplifying 613 yields:
% 13.32/3.64 | (614) ~ (all_0_127_127 = e13)
% 13.32/3.64 |
% 13.32/3.64 | Equations (612) can reduce 247 to:
% 13.32/3.64 | (615) ~ (all_0_129_129 = e13)
% 13.32/3.64 |
% 13.32/3.64 | Simplifying 615 yields:
% 13.32/3.64 | (577) ~ (all_0_129_129 = e13)
% 13.32/3.64 |
% 13.32/3.64 | Equations (612) can reduce 514 to:
% 13.32/3.64 | (276) ~ (e13 = e12)
% 13.32/3.64 |
% 13.32/3.64 | Equations (612) can reduce 51 to:
% 13.32/3.64 | (337) ~ (e13 = e11)
% 13.32/3.64 |
% 13.32/3.64 | From (612) and (97) follows:
% 13.32/3.64 | (619) op1(e12, e13) = all_0_104_104
% 13.32/3.64 |
% 13.32/3.64 | From (612) and (305) follows:
% 13.32/3.64 | (620) op1(e12, e12) = e13
% 13.32/3.64 |
% 13.32/3.64 +-Applying beta-rule and splitting (151), into two cases.
% 13.32/3.64 |-Branch one:
% 13.32/3.64 | (486) all_0_126_126 = e12
% 13.32/3.64 |
% 13.32/3.64 | Combining equations (612,486) yields a new equation:
% 13.32/3.64 | (600) e13 = e12
% 13.32/3.64 |
% 13.32/3.64 | Simplifying 600 yields:
% 13.32/3.64 | (601) e13 = e12
% 13.32/3.64 |
% 13.32/3.64 | Equations (601) can reduce 276 to:
% 13.32/3.64 | (384) $false
% 13.32/3.64 |
% 13.32/3.64 |-The branch is then unsatisfiable
% 13.32/3.64 |-Branch two:
% 13.32/3.64 | (514) ~ (all_0_126_126 = e12)
% 13.32/3.64 | (492) all_0_127_127 = e12
% 13.32/3.64 |
% 13.32/3.64 | Equations (492) can reduce 24 to:
% 13.32/3.64 | (627) ~ (all_0_135_135 = e12)
% 13.32/3.64 |
% 13.32/3.64 | Simplifying 627 yields:
% 13.32/3.64 | (628) ~ (all_0_135_135 = e12)
% 13.32/3.64 |
% 13.32/3.64 | Equations (492) can reduce 614 to:
% 13.32/3.64 | (592) ~ (e13 = e12)
% 13.32/3.64 |
% 13.32/3.64 | Simplifying 592 yields:
% 13.32/3.64 | (276) ~ (e13 = e12)
% 13.32/3.64 |
% 13.32/3.64 | From (492) and (319) follows:
% 13.32/3.64 | (631) op1(e12, e12) = all_0_105_105
% 13.32/3.64 |
% 13.32/3.64 +-Applying beta-rule and splitting (281), into two cases.
% 13.32/3.64 |-Branch one:
% 13.32/3.64 | (632) all_0_129_129 = e12
% 13.32/3.64 |
% 13.32/3.64 | Equations (632) can reduce 446 to:
% 13.32/3.64 | (384) $false
% 13.32/3.64 |
% 13.32/3.64 |-The branch is then unsatisfiable
% 13.32/3.64 |-Branch two:
% 13.32/3.64 | (446) ~ (all_0_129_129 = e12)
% 13.32/3.64 | (635) all_0_129_129 = e13 | all_0_129_129 = e10
% 13.32/3.64 |
% 13.32/3.64 +-Applying beta-rule and splitting (251), into two cases.
% 13.32/3.64 |-Branch one:
% 13.32/3.64 | (507) all_0_127_127 = e13
% 13.32/3.64 |
% 13.32/3.64 | Combining equations (492,507) yields a new equation:
% 13.32/3.64 | (601) e13 = e12
% 13.32/3.64 |
% 13.32/3.64 | Equations (601) can reduce 276 to:
% 13.32/3.64 | (384) $false
% 13.32/3.64 |
% 13.32/3.64 |-The branch is then unsatisfiable
% 13.32/3.64 |-Branch two:
% 13.32/3.64 | (614) ~ (all_0_127_127 = e13)
% 13.32/3.64 | (640) all_0_131_131 = e13 | all_0_135_135 = e13
% 13.32/3.64 |
% 13.32/3.64 +-Applying beta-rule and splitting (635), into two cases.
% 13.32/3.64 |-Branch one:
% 13.32/3.64 | (543) all_0_129_129 = e13
% 13.32/3.64 |
% 13.32/3.64 | Equations (543) can reduce 577 to:
% 13.32/3.64 | (384) $false
% 13.32/3.64 |
% 13.32/3.64 |-The branch is then unsatisfiable
% 13.32/3.64 |-Branch two:
% 13.32/3.64 | (577) ~ (all_0_129_129 = e13)
% 13.32/3.64 | (529) all_0_129_129 = e10
% 13.32/3.64 |
% 13.32/3.64 | Equations (529) can reduce 139 to:
% 13.32/3.64 | (608) ~ (all_0_128_128 = e10)
% 13.32/3.64 |
% 13.32/3.64 +-Applying beta-rule and splitting (230), into two cases.
% 13.32/3.64 |-Branch one:
% 13.32/3.64 | (524) all_0_128_128 = e10
% 13.32/3.64 |
% 13.32/3.64 | Equations (524) can reduce 608 to:
% 13.32/3.64 | (384) $false
% 13.32/3.64 |
% 13.32/3.64 |-The branch is then unsatisfiable
% 13.32/3.64 |-Branch two:
% 13.32/3.64 | (608) ~ (all_0_128_128 = e10)
% 13.32/3.64 | (609) all_0_132_132 = e10
% 13.32/3.64 |
% 13.32/3.64 | Equations (609) can reduce 336 to:
% 13.32/3.64 | (608) ~ (all_0_128_128 = e10)
% 13.32/3.64 |
% 13.32/3.64 | Equations (609) can reduce 84 to:
% 13.32/3.64 | (567) ~ (e12 = e10)
% 13.32/3.64 |
% 13.32/3.64 | Simplifying 567 yields:
% 13.32/3.64 | (158) ~ (e12 = e10)
% 13.32/3.64 |
% 13.32/3.64 +-Applying beta-rule and splitting (640), into two cases.
% 13.32/3.64 |-Branch one:
% 13.32/3.64 | (578) all_0_131_131 = e13
% 13.32/3.64 |
% 13.32/3.64 | Combining equations (578,478) yields a new equation:
% 13.32/3.64 | (570) e13 = e11
% 13.32/3.64 |
% 13.32/3.64 | Simplifying 570 yields:
% 13.32/3.64 | (557) e13 = e11
% 13.32/3.65 |
% 13.32/3.65 | Equations (557) can reduce 337 to:
% 13.32/3.65 | (384) $false
% 13.32/3.65 |
% 13.32/3.65 |-The branch is then unsatisfiable
% 13.32/3.65 |-Branch two:
% 13.32/3.65 | (657) ~ (all_0_131_131 = e13)
% 13.32/3.65 | (599) all_0_135_135 = e13
% 13.32/3.65 |
% 13.32/3.65 | Equations (599) can reduce 628 to:
% 13.32/3.65 | (276) ~ (e13 = e12)
% 13.32/3.65 |
% 13.32/3.65 +-Applying beta-rule and splitting (19), into two cases.
% 13.32/3.65 |-Branch one:
% 13.32/3.65 | (486) all_0_126_126 = e12
% 13.32/3.65 |
% 13.32/3.65 | Combining equations (612,486) yields a new equation:
% 13.32/3.65 | (600) e13 = e12
% 13.32/3.65 |
% 13.32/3.65 | Simplifying 600 yields:
% 13.32/3.65 | (601) e13 = e12
% 13.32/3.65 |
% 13.32/3.65 | Equations (601) can reduce 276 to:
% 13.32/3.65 | (384) $false
% 13.32/3.65 |
% 13.32/3.65 |-The branch is then unsatisfiable
% 13.32/3.65 |-Branch two:
% 13.32/3.65 | (514) ~ (all_0_126_126 = e12)
% 13.32/3.65 | (665) all_0_129_129 = e12 | all_0_133_133 = e12
% 13.32/3.65 |
% 13.32/3.65 +-Applying beta-rule and splitting (665), into two cases.
% 13.32/3.65 |-Branch one:
% 13.32/3.65 | (632) all_0_129_129 = e12
% 13.32/3.65 |
% 13.32/3.65 | Combining equations (529,632) yields a new equation:
% 13.32/3.65 | (563) e12 = e10
% 13.32/3.65 |
% 13.32/3.65 | Equations (563) can reduce 158 to:
% 13.32/3.65 | (384) $false
% 13.32/3.65 |
% 13.32/3.65 |-The branch is then unsatisfiable
% 13.32/3.65 |-Branch two:
% 13.32/3.65 | (446) ~ (all_0_129_129 = e12)
% 13.32/3.65 | (496) all_0_133_133 = e12
% 13.32/3.65 |
% 13.32/3.65 | Equations (496) can reduce 249 to:
% 13.32/3.65 | (303) ~ (e12 = e11)
% 13.32/3.65 |
% 13.32/3.65 +-Applying beta-rule and splitting (30), into two cases.
% 13.32/3.65 |-Branch one:
% 13.32/3.65 | (469) all_0_128_128 = e11
% 13.32/3.65 |
% 13.32/3.65 | Equations (469) can reduce 462 to:
% 13.32/3.65 | (384) $false
% 13.32/3.65 |
% 13.32/3.65 |-The branch is then unsatisfiable
% 13.32/3.65 |-Branch two:
% 13.32/3.65 | (462) ~ (all_0_128_128 = e11)
% 13.32/3.65 | (675) all_0_128_128 = e13 | all_0_128_128 = e10
% 13.32/3.65 |
% 13.32/3.65 +-Applying beta-rule and splitting (675), into two cases.
% 13.32/3.65 |-Branch one:
% 13.32/3.65 | (536) all_0_128_128 = e13
% 13.32/3.65 |
% 13.32/3.65 | Equations (536) can reduce 608 to:
% 13.32/3.65 | (187) ~ (e13 = e10)
% 13.32/3.65 |
% 13.32/3.65 | Instantiating formula (311) with e12, e13, all_0_104_104, e11 and discharging atoms op1(e12, e13) = all_0_104_104, op1(e12, e13) = e11, yields:
% 13.32/3.65 | (678) all_0_104_104 = e11
% 13.32/3.65 |
% 13.32/3.65 | Instantiating formula (311) with e12, e12, e13, all_0_105_105 and discharging atoms op1(e12, e12) = all_0_105_105, op1(e12, e12) = e13, yields:
% 13.32/3.65 | (679) all_0_105_105 = e13
% 13.32/3.65 |
% 13.32/3.65 +-Applying beta-rule and splitting (96), into two cases.
% 13.32/3.65 |-Branch one:
% 13.32/3.65 | (500) all_0_127_127 = e11
% 13.32/3.65 |
% 13.32/3.65 | Combining equations (492,500) yields a new equation:
% 13.32/3.65 | (474) e12 = e11
% 13.32/3.65 |
% 13.32/3.65 | Simplifying 474 yields:
% 13.32/3.65 | (475) e12 = e11
% 13.32/3.65 |
% 13.32/3.65 | Equations (475) can reduce 303 to:
% 13.32/3.65 | (384) $false
% 13.32/3.65 |
% 13.32/3.65 |-The branch is then unsatisfiable
% 13.32/3.65 |-Branch two:
% 13.32/3.65 | (479) ~ (all_0_127_127 = e11)
% 13.32/3.65 | (685) all_0_103_103 = e13 | all_0_104_104 = e12 | all_0_105_105 = e10
% 13.32/3.65 |
% 13.32/3.65 | Equations (492) can reduce 479 to:
% 13.32/3.65 | (303) ~ (e12 = e11)
% 13.32/3.65 |
% 13.32/3.65 +-Applying beta-rule and splitting (685), into two cases.
% 13.32/3.65 |-Branch one:
% 13.32/3.65 | (687) all_0_104_104 = e12
% 13.32/3.65 |
% 13.32/3.65 | Combining equations (687,678) yields a new equation:
% 13.32/3.65 | (474) e12 = e11
% 13.32/3.65 |
% 13.32/3.65 | Simplifying 474 yields:
% 13.32/3.65 | (475) e12 = e11
% 13.32/3.65 |
% 13.32/3.65 | Equations (475) can reduce 303 to:
% 13.32/3.65 | (384) $false
% 13.32/3.65 |
% 13.32/3.65 |-The branch is then unsatisfiable
% 13.32/3.65 |-Branch two:
% 13.32/3.65 | (691) ~ (all_0_104_104 = e12)
% 13.32/3.65 | (692) all_0_103_103 = e13 | all_0_105_105 = e10
% 13.32/3.65 |
% 13.32/3.65 +-Applying beta-rule and splitting (692), into two cases.
% 13.32/3.65 |-Branch one:
% 13.32/3.65 | (693) all_0_103_103 = e13
% 13.32/3.65 |
% 13.32/3.65 | Combining equations (693,484) yields a new equation:
% 13.32/3.65 | (595) e13 = e10
% 13.32/3.65 |
% 13.32/3.65 | Simplifying 595 yields:
% 13.32/3.65 | (537) e13 = e10
% 13.32/3.65 |
% 13.32/3.65 | Equations (537) can reduce 187 to:
% 13.32/3.65 | (384) $false
% 13.32/3.65 |
% 13.32/3.65 |-The branch is then unsatisfiable
% 13.32/3.65 |-Branch two:
% 13.32/3.65 | (697) ~ (all_0_103_103 = e13)
% 13.32/3.65 | (698) all_0_105_105 = e10
% 13.32/3.65 |
% 13.32/3.65 | Combining equations (698,679) yields a new equation:
% 13.32/3.65 | (537) e13 = e10
% 13.32/3.65 |
% 13.32/3.65 | Equations (537) can reduce 187 to:
% 13.32/3.65 | (384) $false
% 13.32/3.65 |
% 13.32/3.65 |-The branch is then unsatisfiable
% 13.32/3.65 |-Branch two:
% 13.32/3.65 | (539) ~ (all_0_128_128 = e13)
% 13.32/3.65 | (524) all_0_128_128 = e10
% 13.32/3.65 |
% 13.32/3.65 | Equations (524) can reduce 608 to:
% 13.32/3.65 | (384) $false
% 13.32/3.65 |
% 13.32/3.65 |-The branch is then unsatisfiable
% 13.32/3.65 |-Branch two:
% 13.32/3.65 | (704) ~ (all_0_125_125 = e11)
% 13.32/3.65 | (500) all_0_127_127 = e11
% 13.32/3.65 |
% 13.32/3.65 | Equations (500) can reduce 324 to:
% 13.32/3.65 | (704) ~ (all_0_125_125 = e11)
% 13.32/3.65 |
% 13.32/3.65 | Equations (500) can reduce 98 to:
% 13.32/3.65 | (51) ~ (all_0_126_126 = e11)
% 13.32/3.65 |
% 13.32/3.65 | Equations (500) can reduce 2 to:
% 13.32/3.65 | (288) ~ (e11 = e10)
% 13.32/3.65 |
% 13.32/3.65 +-Applying beta-rule and splitting (123), into two cases.
% 13.32/3.65 |-Branch one:
% 13.32/3.65 | (469) all_0_128_128 = e11
% 13.32/3.65 |
% 13.32/3.65 | Equations (469) can reduce 132 to:
% 13.32/3.65 | (704) ~ (all_0_125_125 = e11)
% 13.32/3.65 |
% 13.32/3.65 | Equations (469) can reduce 139 to:
% 13.32/3.65 | (711) ~ (all_0_129_129 = e11)
% 13.32/3.65 |
% 13.32/3.65 | Simplifying 711 yields:
% 13.32/3.65 | (284) ~ (all_0_129_129 = e11)
% 13.32/3.65 |
% 13.32/3.65 | From (469) and (279) follows:
% 13.32/3.65 | (713) op1(e11, e11) = all_0_106_106
% 13.32/3.65 |
% 13.32/3.65 | From (469) and (292) follows:
% 13.32/3.65 | (714) op1(e11, e13) = e11
% 13.32/3.65 |
% 13.32/3.65 +-Applying beta-rule and splitting (107), into two cases.
% 13.32/3.65 |-Branch one:
% 13.32/3.65 | (458) all_0_125_125 = e11
% 13.32/3.65 |
% 13.32/3.66 | Equations (458) can reduce 704 to:
% 13.32/3.66 | (384) $false
% 13.32/3.66 |
% 13.32/3.66 |-The branch is then unsatisfiable
% 13.32/3.66 |-Branch two:
% 13.32/3.66 | (704) ~ (all_0_125_125 = e11)
% 13.32/3.66 | (718) all_0_125_125 = e13
% 13.32/3.66 |
% 13.32/3.66 | Equations (718) can reduce 191 to:
% 13.32/3.66 | (719) ~ (all_0_126_126 = e13)
% 13.32/3.66 |
% 13.32/3.66 | Simplifying 719 yields:
% 13.32/3.66 | (720) ~ (all_0_126_126 = e13)
% 13.32/3.66 |
% 13.32/3.66 | Equations (718) can reduce 326 to:
% 13.32/3.66 | (721) ~ (all_0_132_132 = e13)
% 13.32/3.66 |
% 13.32/3.66 | Simplifying 721 yields:
% 13.32/3.66 | (582) ~ (all_0_132_132 = e13)
% 13.32/3.66 |
% 13.32/3.66 | Equations (718) can reduce 704 to:
% 13.32/3.66 | (337) ~ (e13 = e11)
% 13.32/3.66 |
% 13.32/3.66 +-Applying beta-rule and splitting (90), into two cases.
% 13.32/3.66 |-Branch one:
% 13.32/3.66 | (486) all_0_126_126 = e12
% 13.32/3.66 |
% 13.32/3.66 | Equations (486) can reduce 51 to:
% 13.32/3.66 | (303) ~ (e12 = e11)
% 13.32/3.66 |
% 13.32/3.66 +-Applying beta-rule and splitting (230), into two cases.
% 13.32/3.66 |-Branch one:
% 13.32/3.66 | (524) all_0_128_128 = e10
% 13.32/3.66 |
% 13.32/3.66 | Combining equations (469,524) yields a new equation:
% 13.32/3.66 | (727) e11 = e10
% 13.32/3.66 |
% 13.32/3.66 | Simplifying 727 yields:
% 13.32/3.66 | (728) e11 = e10
% 13.32/3.66 |
% 13.32/3.66 | Equations (728) can reduce 288 to:
% 13.32/3.66 | (384) $false
% 13.32/3.66 |
% 13.32/3.66 |-The branch is then unsatisfiable
% 13.32/3.66 |-Branch two:
% 13.32/3.66 | (608) ~ (all_0_128_128 = e10)
% 13.32/3.66 | (609) all_0_132_132 = e10
% 13.32/3.66 |
% 13.32/3.66 | Equations (609) can reduce 50 to:
% 13.32/3.66 | (732) ~ (all_0_133_133 = e10)
% 13.32/3.66 |
% 13.32/3.66 | Simplifying 732 yields:
% 13.32/3.66 | (515) ~ (all_0_133_133 = e10)
% 13.32/3.66 |
% 13.32/3.66 | Equations (609) can reduce 582 to:
% 13.32/3.66 | (734) ~ (e13 = e10)
% 13.32/3.66 |
% 13.32/3.66 | Simplifying 734 yields:
% 13.32/3.66 | (187) ~ (e13 = e10)
% 13.32/3.66 |
% 13.32/3.66 +-Applying beta-rule and splitting (138), into two cases.
% 13.32/3.66 |-Branch one:
% 13.32/3.66 | (492) all_0_127_127 = e12
% 13.32/3.66 |
% 13.32/3.66 | Combining equations (500,492) yields a new equation:
% 13.32/3.66 | (475) e12 = e11
% 13.32/3.66 |
% 13.32/3.66 | Equations (475) can reduce 303 to:
% 13.32/3.66 | (384) $false
% 13.32/3.66 |
% 13.32/3.66 |-The branch is then unsatisfiable
% 13.32/3.66 |-Branch two:
% 13.32/3.66 | (488) ~ (all_0_127_127 = e12)
% 13.32/3.66 | (495) all_0_131_131 = e12 | all_0_135_135 = e12
% 13.32/3.66 |
% 13.32/3.66 +-Applying beta-rule and splitting (495), into two cases.
% 13.32/3.66 |-Branch one:
% 13.32/3.66 | (547) all_0_131_131 = e12
% 13.32/3.66 |
% 13.32/3.66 | Equations (547) can reduce 448 to:
% 13.32/3.66 | (384) $false
% 13.32/3.66 |
% 13.32/3.66 |-The branch is then unsatisfiable
% 13.32/3.66 |-Branch two:
% 13.32/3.66 | (448) ~ (all_0_131_131 = e12)
% 13.32/3.66 | (552) all_0_135_135 = e12
% 13.32/3.66 |
% 13.32/3.66 | Equations (552) can reduce 165 to:
% 13.32/3.66 | (448) ~ (all_0_131_131 = e12)
% 13.32/3.66 |
% 13.32/3.66 | Equations (552) can reduce 334 to:
% 13.32/3.66 | (490) ~ (all_0_133_133 = e12)
% 13.32/3.66 |
% 13.32/3.66 +-Applying beta-rule and splitting (140), into two cases.
% 13.32/3.66 |-Branch one:
% 13.32/3.66 | (529) all_0_129_129 = e10
% 13.32/3.66 |
% 13.32/3.66 | Combining equations (529,457) yields a new equation:
% 13.32/3.66 | (748) all_0_108_108 = e10
% 13.32/3.66 |
% 13.32/3.66 | Equations (529) can reduce 284 to:
% 13.32/3.66 | (749) ~ (e11 = e10)
% 13.32/3.66 |
% 13.32/3.66 | Simplifying 749 yields:
% 13.32/3.66 | (288) ~ (e11 = e10)
% 13.32/3.66 |
% 13.32/3.66 | From (529) and (339) follows:
% 13.32/3.66 | (751) op1(e11, e10) = all_0_107_107
% 13.32/3.66 |
% 13.32/3.66 +-Applying beta-rule and splitting (148), into two cases.
% 13.32/3.66 |-Branch one:
% 13.32/3.66 | (536) all_0_128_128 = e13
% 13.32/3.66 |
% 13.32/3.66 | Combining equations (536,469) yields a new equation:
% 13.32/3.66 | (570) e13 = e11
% 13.32/3.66 |
% 13.32/3.66 | Simplifying 570 yields:
% 13.32/3.66 | (557) e13 = e11
% 13.32/3.66 |
% 13.32/3.66 | Equations (557) can reduce 337 to:
% 13.32/3.66 | (384) $false
% 13.32/3.66 |
% 13.32/3.66 |-The branch is then unsatisfiable
% 13.32/3.66 |-Branch two:
% 13.32/3.66 | (539) ~ (all_0_128_128 = e13)
% 13.32/3.66 | (540) all_0_129_129 = e13 | all_0_131_131 = e13
% 13.32/3.66 |
% 13.32/3.66 +-Applying beta-rule and splitting (170), into two cases.
% 13.32/3.66 |-Branch one:
% 13.32/3.66 | (541) all_0_132_132 = e13
% 13.32/3.66 |
% 13.32/3.66 | Combining equations (609,541) yields a new equation:
% 13.32/3.66 | (537) e13 = e10
% 13.32/3.66 |
% 13.32/3.66 | Equations (537) can reduce 187 to:
% 13.32/3.66 | (384) $false
% 13.32/3.66 |
% 13.32/3.66 |-The branch is then unsatisfiable
% 13.32/3.66 |-Branch two:
% 13.32/3.66 | (582) ~ (all_0_132_132 = e13)
% 13.32/3.66 | (583) all_0_133_133 = e13 | all_0_135_135 = e13
% 13.32/3.66 |
% 13.32/3.66 | Equations (609) can reduce 582 to:
% 13.32/3.66 | (734) ~ (e13 = e10)
% 13.32/3.66 |
% 13.32/3.66 | Simplifying 734 yields:
% 13.32/3.66 | (187) ~ (e13 = e10)
% 13.32/3.66 |
% 13.32/3.66 +-Applying beta-rule and splitting (540), into two cases.
% 13.32/3.66 |-Branch one:
% 13.32/3.66 | (543) all_0_129_129 = e13
% 13.32/3.66 |
% 13.32/3.66 | Combining equations (529,543) yields a new equation:
% 13.32/3.66 | (537) e13 = e10
% 13.32/3.66 |
% 13.32/3.66 | Equations (537) can reduce 187 to:
% 13.32/3.66 | (384) $false
% 13.32/3.66 |
% 13.32/3.66 |-The branch is then unsatisfiable
% 13.32/3.66 |-Branch two:
% 13.32/3.66 | (577) ~ (all_0_129_129 = e13)
% 13.32/3.66 | (578) all_0_131_131 = e13
% 13.32/3.66 |
% 13.32/3.66 | Equations (578) can reduce 448 to:
% 13.32/3.66 | (276) ~ (e13 = e12)
% 13.32/3.66 |
% 13.32/3.66 | From (578) and (266) follows:
% 13.32/3.66 | (771) op1(e11, e13) = all_0_109_109
% 13.32/3.66 |
% 13.32/3.66 | From (578) and (315) follows:
% 13.32/3.66 | (772) op1(e11, e10) = e13
% 13.32/3.66 |
% 13.32/3.66 +-Applying beta-rule and splitting (583), into two cases.
% 13.32/3.66 |-Branch one:
% 13.32/3.66 | (594) all_0_133_133 = e13
% 13.32/3.66 |
% 13.32/3.66 | Equations (594) can reduce 490 to:
% 13.32/3.66 | (276) ~ (e13 = e12)
% 13.32/3.66 |
% 13.32/3.66 | Instantiating formula (311) with e11, e13, e11, all_0_109_109 and discharging atoms op1(e11, e13) = all_0_109_109, op1(e11, e13) = e11, yields:
% 13.32/3.66 | (775) all_0_109_109 = e11
% 13.32/3.66 |
% 13.32/3.66 | Instantiating formula (311) with e11, e11, all_0_106_106, e12 and discharging atoms op1(e11, e11) = all_0_106_106, op1(e11, e11) = e12, yields:
% 13.32/3.66 | (776) all_0_106_106 = e12
% 13.32/3.66 |
% 13.32/3.66 | Instantiating formula (311) with e11, e10, e13, all_0_107_107 and discharging atoms op1(e11, e10) = all_0_107_107, op1(e11, e10) = e13, yields:
% 13.32/3.66 | (777) all_0_107_107 = e13
% 13.32/3.67 |
% 13.32/3.67 +-Applying beta-rule and splitting (145), into two cases.
% 13.32/3.67 |-Branch one:
% 13.32/3.67 | (556) all_0_108_108 = e11
% 13.32/3.67 |
% 13.32/3.67 | Combining equations (556,748) yields a new equation:
% 13.32/3.67 | (727) e11 = e10
% 13.32/3.67 |
% 13.32/3.67 | Simplifying 727 yields:
% 13.32/3.67 | (728) e11 = e10
% 13.32/3.67 |
% 13.32/3.67 | Equations (728) can reduce 288 to:
% 13.32/3.67 | (384) $false
% 13.32/3.67 |
% 13.32/3.67 |-The branch is then unsatisfiable
% 13.32/3.67 |-Branch two:
% 13.32/3.67 | (559) ~ (all_0_108_108 = e11)
% 13.32/3.67 | (560) all_0_106_106 = e13 | all_0_107_107 = e12 | all_0_109_109 = e10
% 13.32/3.67 |
% 13.32/3.67 | Equations (748) can reduce 559 to:
% 13.32/3.67 | (749) ~ (e11 = e10)
% 13.32/3.67 |
% 13.32/3.67 | Simplifying 749 yields:
% 13.32/3.67 | (288) ~ (e11 = e10)
% 13.32/3.67 |
% 13.32/3.67 +-Applying beta-rule and splitting (560), into two cases.
% 13.32/3.67 |-Branch one:
% 13.32/3.67 | (562) all_0_107_107 = e12
% 13.32/3.67 |
% 13.32/3.67 | Combining equations (777,562) yields a new equation:
% 13.32/3.67 | (600) e13 = e12
% 13.32/3.67 |
% 13.32/3.67 | Simplifying 600 yields:
% 13.32/3.67 | (601) e13 = e12
% 13.32/3.67 |
% 13.32/3.67 | Equations (601) can reduce 276 to:
% 13.32/3.67 | (384) $false
% 13.32/3.67 |
% 13.32/3.67 |-The branch is then unsatisfiable
% 13.32/3.67 |-Branch two:
% 13.32/3.67 | (565) ~ (all_0_107_107 = e12)
% 13.32/3.67 | (566) all_0_106_106 = e13 | all_0_109_109 = e10
% 13.32/3.67 |
% 13.32/3.67 | Equations (777) can reduce 565 to:
% 13.32/3.67 | (276) ~ (e13 = e12)
% 13.32/3.67 |
% 13.32/3.67 +-Applying beta-rule and splitting (566), into two cases.
% 13.32/3.67 |-Branch one:
% 13.32/3.67 | (569) all_0_106_106 = e13
% 13.32/3.67 |
% 13.32/3.67 | Combining equations (569,776) yields a new equation:
% 13.32/3.67 | (600) e13 = e12
% 13.32/3.67 |
% 13.32/3.67 | Simplifying 600 yields:
% 13.32/3.67 | (601) e13 = e12
% 13.32/3.67 |
% 13.32/3.67 | Equations (601) can reduce 276 to:
% 13.32/3.67 | (384) $false
% 13.32/3.67 |
% 13.32/3.67 |-The branch is then unsatisfiable
% 13.32/3.67 |-Branch two:
% 13.32/3.67 | (573) ~ (all_0_106_106 = e13)
% 13.32/3.67 | (574) all_0_109_109 = e10
% 13.32/3.67 |
% 13.32/3.67 | Combining equations (574,775) yields a new equation:
% 13.32/3.67 | (728) e11 = e10
% 13.32/3.67 |
% 13.32/3.67 | Equations (728) can reduce 288 to:
% 13.32/3.67 | (384) $false
% 13.32/3.67 |
% 13.32/3.67 |-The branch is then unsatisfiable
% 13.32/3.67 |-Branch two:
% 13.32/3.67 | (598) ~ (all_0_133_133 = e13)
% 13.32/3.67 | (599) all_0_135_135 = e13
% 13.32/3.67 |
% 13.32/3.67 | Combining equations (599,552) yields a new equation:
% 13.32/3.67 | (600) e13 = e12
% 13.32/3.67 |
% 13.32/3.67 | Simplifying 600 yields:
% 13.32/3.67 | (601) e13 = e12
% 13.32/3.67 |
% 13.32/3.67 | Equations (601) can reduce 276 to:
% 13.32/3.67 | (384) $false
% 13.32/3.67 |
% 13.32/3.67 |-The branch is then unsatisfiable
% 13.32/3.67 |-Branch two:
% 13.32/3.67 | (526) ~ (all_0_129_129 = e10)
% 13.32/3.67 | (532) all_0_133_133 = e10
% 13.32/3.67 |
% 13.32/3.67 | Equations (532) can reduce 515 to:
% 13.32/3.67 | (384) $false
% 13.32/3.67 |
% 13.32/3.67 |-The branch is then unsatisfiable
% 13.32/3.67 |-Branch two:
% 13.32/3.67 | (514) ~ (all_0_126_126 = e12)
% 13.63/3.67 | (612) all_0_126_126 = e13
% 13.63/3.67 |
% 13.63/3.67 | Equations (612) can reduce 720 to:
% 13.63/3.67 | (384) $false
% 13.63/3.67 |
% 13.63/3.67 |-The branch is then unsatisfiable
% 13.63/3.67 |-Branch two:
% 13.63/3.67 | (462) ~ (all_0_128_128 = e11)
% 13.63/3.67 | (472) all_0_130_130 = e11 | all_0_131_131 = e11
% 13.63/3.67 |
% 13.63/3.67 +-Applying beta-rule and splitting (138), into two cases.
% 13.63/3.67 |-Branch one:
% 13.63/3.67 | (492) all_0_127_127 = e12
% 13.63/3.67 |
% 13.63/3.67 | Combining equations (492,500) yields a new equation:
% 13.63/3.67 | (474) e12 = e11
% 13.63/3.67 |
% 13.63/3.67 | Simplifying 474 yields:
% 13.63/3.67 | (475) e12 = e11
% 13.63/3.67 |
% 13.63/3.67 | Equations (475) can reduce 303 to:
% 13.63/3.67 | (384) $false
% 13.63/3.67 |
% 13.63/3.67 |-The branch is then unsatisfiable
% 13.63/3.67 |-Branch two:
% 13.63/3.67 | (488) ~ (all_0_127_127 = e12)
% 13.63/3.67 | (495) all_0_131_131 = e12 | all_0_135_135 = e12
% 13.63/3.67 |
% 13.63/3.67 | Equations (500) can reduce 488 to:
% 13.63/3.67 | (455) ~ (e12 = e11)
% 13.63/3.67 |
% 13.63/3.67 | Simplifying 455 yields:
% 13.63/3.67 | (303) ~ (e12 = e11)
% 13.63/3.67 |
% 13.63/3.67 +-Applying beta-rule and splitting (107), into two cases.
% 13.63/3.67 |-Branch one:
% 13.63/3.67 | (458) all_0_125_125 = e11
% 13.63/3.67 |
% 13.63/3.67 | Equations (458) can reduce 704 to:
% 13.63/3.67 | (384) $false
% 13.63/3.67 |
% 13.63/3.67 |-The branch is then unsatisfiable
% 13.63/3.67 |-Branch two:
% 13.63/3.67 | (704) ~ (all_0_125_125 = e11)
% 13.63/3.67 | (718) all_0_125_125 = e13
% 13.63/3.67 |
% 13.63/3.67 | Equations (718) can reduce 132 to:
% 13.63/3.67 | (826) ~ (all_0_128_128 = e13)
% 13.63/3.67 |
% 13.63/3.67 | Simplifying 826 yields:
% 13.63/3.67 | (539) ~ (all_0_128_128 = e13)
% 13.63/3.67 |
% 13.63/3.67 | Equations (718) can reduce 326 to:
% 13.63/3.67 | (721) ~ (all_0_132_132 = e13)
% 13.63/3.67 |
% 13.63/3.67 | Simplifying 721 yields:
% 13.63/3.67 | (582) ~ (all_0_132_132 = e13)
% 13.63/3.67 |
% 13.63/3.67 +-Applying beta-rule and splitting (151), into two cases.
% 13.63/3.67 |-Branch one:
% 13.63/3.67 | (486) all_0_126_126 = e12
% 13.63/3.67 |
% 13.63/3.67 | Equations (486) can reduce 247 to:
% 13.63/3.67 | (831) ~ (all_0_129_129 = e12)
% 13.63/3.67 |
% 13.63/3.67 | Simplifying 831 yields:
% 13.63/3.67 | (446) ~ (all_0_129_129 = e12)
% 13.63/3.67 |
% 13.63/3.68 | Equations (486) can reduce 265 to:
% 13.63/3.68 | (489) ~ (all_0_133_133 = e12)
% 13.63/3.68 |
% 13.63/3.68 | Simplifying 489 yields:
% 13.63/3.68 | (490) ~ (all_0_133_133 = e12)
% 13.63/3.68 |
% 13.63/3.68 | Equations (486) can reduce 51 to:
% 13.63/3.68 | (303) ~ (e12 = e11)
% 13.63/3.68 |
% 13.63/3.68 +-Applying beta-rule and splitting (31), into two cases.
% 13.63/3.68 |-Branch one:
% 13.63/3.68 | (496) all_0_133_133 = e12
% 13.63/3.68 |
% 13.63/3.68 | Equations (496) can reduce 490 to:
% 13.63/3.68 | (384) $false
% 13.63/3.68 |
% 13.63/3.68 |-The branch is then unsatisfiable
% 13.63/3.68 |-Branch two:
% 13.63/3.68 | (490) ~ (all_0_133_133 = e12)
% 13.63/3.68 | (499) all_0_134_134 = e12 | all_0_135_135 = e12
% 13.63/3.68 |
% 13.63/3.68 +-Applying beta-rule and splitting (499), into two cases.
% 13.63/3.68 |-Branch one:
% 13.63/3.68 | (586) all_0_134_134 = e12
% 13.63/3.68 |
% 13.63/3.68 | Combining equations (453,586) yields a new equation:
% 13.63/3.68 | (475) e12 = e11
% 13.63/3.68 |
% 13.63/3.68 | Equations (475) can reduce 303 to:
% 13.63/3.68 | (384) $false
% 13.63/3.68 |
% 13.63/3.68 |-The branch is then unsatisfiable
% 13.63/3.68 |-Branch two:
% 13.63/3.68 | (450) ~ (all_0_134_134 = e12)
% 13.63/3.68 | (552) all_0_135_135 = e12
% 13.63/3.68 |
% 13.63/3.68 +-Applying beta-rule and splitting (30), into two cases.
% 13.63/3.68 |-Branch one:
% 13.63/3.68 | (469) all_0_128_128 = e11
% 13.63/3.68 |
% 13.63/3.68 | Equations (469) can reduce 462 to:
% 13.63/3.68 | (384) $false
% 13.63/3.68 |
% 13.63/3.68 |-The branch is then unsatisfiable
% 13.63/3.68 |-Branch two:
% 13.63/3.68 | (462) ~ (all_0_128_128 = e11)
% 13.63/3.68 | (675) all_0_128_128 = e13 | all_0_128_128 = e10
% 13.63/3.68 |
% 13.63/3.68 +-Applying beta-rule and splitting (675), into two cases.
% 13.63/3.68 |-Branch one:
% 13.63/3.68 | (536) all_0_128_128 = e13
% 13.63/3.68 |
% 13.63/3.68 | Equations (536) can reduce 539 to:
% 13.63/3.68 | (384) $false
% 13.63/3.68 |
% 13.63/3.68 |-The branch is then unsatisfiable
% 13.63/3.68 |-Branch two:
% 13.63/3.68 | (539) ~ (all_0_128_128 = e13)
% 13.63/3.68 | (524) all_0_128_128 = e10
% 13.63/3.68 |
% 13.63/3.68 | Equations (524) can reduce 139 to:
% 13.63/3.68 | (525) ~ (all_0_129_129 = e10)
% 13.63/3.68 |
% 13.63/3.68 | Simplifying 525 yields:
% 13.63/3.68 | (526) ~ (all_0_129_129 = e10)
% 13.63/3.68 |
% 13.63/3.68 +-Applying beta-rule and splitting (140), into two cases.
% 13.63/3.68 |-Branch one:
% 13.63/3.68 | (529) all_0_129_129 = e10
% 13.63/3.68 |
% 13.63/3.68 | Equations (529) can reduce 526 to:
% 13.63/3.68 | (384) $false
% 13.63/3.68 |
% 13.63/3.68 |-The branch is then unsatisfiable
% 13.63/3.68 |-Branch two:
% 13.63/3.68 | (526) ~ (all_0_129_129 = e10)
% 13.63/3.68 | (532) all_0_133_133 = e10
% 13.63/3.68 |
% 13.63/3.68 | Equations (532) can reduce 150 to:
% 13.63/3.68 | (526) ~ (all_0_129_129 = e10)
% 13.63/3.68 |
% 13.63/3.68 +-Applying beta-rule and splitting (170), into two cases.
% 13.63/3.68 |-Branch one:
% 13.63/3.68 | (541) all_0_132_132 = e13
% 13.63/3.68 |
% 13.63/3.68 | Equations (541) can reduce 582 to:
% 13.63/3.68 | (384) $false
% 13.63/3.68 |
% 13.63/3.68 |-The branch is then unsatisfiable
% 13.63/3.68 |-Branch two:
% 13.63/3.68 | (582) ~ (all_0_132_132 = e13)
% 13.63/3.68 | (583) all_0_133_133 = e13 | all_0_135_135 = e13
% 13.63/3.68 |
% 13.63/3.68 +-Applying beta-rule and splitting (281), into two cases.
% 13.63/3.68 |-Branch one:
% 13.63/3.68 | (632) all_0_129_129 = e12
% 13.63/3.68 |
% 13.63/3.68 | Equations (632) can reduce 446 to:
% 13.63/3.68 | (384) $false
% 13.63/3.68 |
% 13.63/3.68 |-The branch is then unsatisfiable
% 13.63/3.68 |-Branch two:
% 13.63/3.68 | (446) ~ (all_0_129_129 = e12)
% 13.63/3.68 | (635) all_0_129_129 = e13 | all_0_129_129 = e10
% 13.63/3.68 |
% 13.63/3.68 +-Applying beta-rule and splitting (635), into two cases.
% 13.63/3.68 |-Branch one:
% 13.63/3.68 | (543) all_0_129_129 = e13
% 13.63/3.68 |
% 13.63/3.68 | Equations (543) can reduce 446 to:
% 13.63/3.68 | (276) ~ (e13 = e12)
% 13.63/3.68 |
% 13.63/3.68 | Equations (543) can reduce 526 to:
% 13.63/3.68 | (187) ~ (e13 = e10)
% 13.63/3.68 |
% 13.63/3.68 +-Applying beta-rule and splitting (583), into two cases.
% 13.63/3.68 |-Branch one:
% 13.63/3.68 | (594) all_0_133_133 = e13
% 13.63/3.68 |
% 13.63/3.68 | Combining equations (532,594) yields a new equation:
% 13.63/3.68 | (537) e13 = e10
% 13.63/3.68 |
% 13.63/3.68 | Equations (537) can reduce 187 to:
% 13.63/3.68 | (384) $false
% 13.63/3.68 |
% 13.63/3.68 |-The branch is then unsatisfiable
% 13.63/3.68 |-Branch two:
% 13.63/3.68 | (598) ~ (all_0_133_133 = e13)
% 13.63/3.68 | (599) all_0_135_135 = e13
% 13.63/3.68 |
% 13.63/3.68 | Combining equations (599,552) yields a new equation:
% 13.63/3.68 | (600) e13 = e12
% 13.63/3.68 |
% 13.63/3.68 | Simplifying 600 yields:
% 13.63/3.68 | (601) e13 = e12
% 13.63/3.68 |
% 13.63/3.68 | Equations (601) can reduce 276 to:
% 13.63/3.68 | (384) $false
% 13.63/3.68 |
% 13.63/3.68 |-The branch is then unsatisfiable
% 13.63/3.68 |-Branch two:
% 13.63/3.68 | (577) ~ (all_0_129_129 = e13)
% 13.63/3.68 | (529) all_0_129_129 = e10
% 13.63/3.68 |
% 13.63/3.68 | Equations (529) can reduce 526 to:
% 13.63/3.68 | (384) $false
% 13.63/3.68 |
% 13.63/3.68 |-The branch is then unsatisfiable
% 13.63/3.68 |-Branch two:
% 13.63/3.68 | (514) ~ (all_0_126_126 = e12)
% 13.63/3.68 | (492) all_0_127_127 = e12
% 13.63/3.68 |
% 13.63/3.68 | Combining equations (492,500) yields a new equation:
% 13.63/3.68 | (474) e12 = e11
% 13.63/3.68 |
% 13.63/3.68 | Simplifying 474 yields:
% 13.63/3.68 | (475) e12 = e11
% 13.63/3.68 |
% 13.63/3.68 | Equations (475) can reduce 303 to:
% 13.63/3.68 | (384) $false
% 13.63/3.68 |
% 13.63/3.68 |-The branch is then unsatisfiable
% 13.63/3.68 |-Branch two:
% 13.63/3.68 | (887) ~ (all_0_134_134 = e11)
% 13.63/3.68 | (586) all_0_134_134 = e12
% 13.63/3.68 |
% 13.63/3.68 | Equations (586) can reduce 450 to:
% 13.63/3.68 | (384) $false
% 13.63/3.68 |
% 13.63/3.68 |-The branch is then unsatisfiable
% 13.63/3.68 |-Branch two:
% 13.63/3.68 | (890) ~ (all_0_130_130 = e12)
% 13.63/3.68 | (586) all_0_134_134 = e12
% 13.63/3.68 |
% 13.63/3.68 | Equations (586) can reduce 14 to:
% 13.63/3.68 | (890) ~ (all_0_130_130 = e12)
% 13.63/3.68 |
% 13.63/3.68 | Equations (586) can reduce 174 to:
% 13.63/3.68 | (84) ~ (all_0_132_132 = e12)
% 13.63/3.68 |
% 13.63/3.68 | Equations (586) can reduce 157 to:
% 13.63/3.68 | (490) ~ (all_0_133_133 = e12)
% 13.63/3.68 |
% 13.63/3.68 | Equations (586) can reduce 159 to:
% 13.63/3.68 | (627) ~ (all_0_135_135 = e12)
% 13.63/3.68 |
% 13.63/3.68 | Simplifying 627 yields:
% 13.63/3.69 | (628) ~ (all_0_135_135 = e12)
% 13.63/3.69 |
% 13.63/3.69 | Equations (586) can reduce 322 to:
% 13.63/3.69 | (592) ~ (e13 = e12)
% 13.63/3.69 |
% 13.63/3.69 | Simplifying 592 yields:
% 13.63/3.69 | (276) ~ (e13 = e12)
% 13.63/3.69 |
% 13.63/3.69 | From (586) and (216) follows:
% 13.63/3.69 | (899) op1(e10, e12) = all_0_112_112
% 13.63/3.69 |
% 13.63/3.69 | From (586) and (65) follows:
% 13.63/3.69 | (900) op1(e10, e11) = e12
% 13.63/3.69 |
% 13.63/3.69 | From (586) and (352) follows:
% 13.63/3.69 | (901) h4(e12) = all_0_9_9
% 13.63/3.69 |
% 13.63/3.69 +-Applying beta-rule and splitting (328), into two cases.
% 13.63/3.69 |-Branch one:
% 13.63/3.69 | (473) all_0_130_130 = e11
% 13.63/3.69 |
% 13.63/3.69 | Equations (473) can reduce 164 to:
% 13.63/3.69 | (903) ~ (e13 = e11)
% 13.63/3.69 |
% 13.63/3.69 | Simplifying 903 yields:
% 13.63/3.69 | (337) ~ (e13 = e11)
% 13.63/3.69 |
% 13.63/3.69 | Equations (473) can reduce 890 to:
% 13.63/3.69 | (455) ~ (e12 = e11)
% 13.63/3.69 |
% 13.63/3.69 | Simplifying 455 yields:
% 13.63/3.69 | (303) ~ (e12 = e11)
% 13.63/3.69 |
% 13.63/3.69 | From (473) and (209) follows:
% 13.63/3.69 | (907) h4(e11) = all_0_5_5
% 13.63/3.69 |
% 13.63/3.69 | Instantiating formula (311) with e10, e12, all_0_112_112, all_0_133_133 and discharging atoms op1(e10, e12) = all_0_112_112, op1(e10, e12) = all_0_133_133, yields:
% 13.63/3.69 | (908) all_0_112_112 = all_0_133_133
% 13.63/3.69 |
% 13.63/3.69 | Instantiating formula (342) with e12, all_0_9_9, e22 and discharging atoms h4(e12) = all_0_9_9, h4(e12) = e22, yields:
% 13.63/3.69 | (909) all_0_9_9 = e22
% 13.63/3.69 |
% 13.63/3.69 | Instantiating formula (342) with e11, all_0_5_5, e21 and discharging atoms h4(e11) = all_0_5_5, h4(e11) = e21, yields:
% 13.63/3.69 | (910) all_0_5_5 = e21
% 13.63/3.69 |
% 13.63/3.69 | From (909) and (901) follows:
% 13.63/3.69 | (338) h4(e12) = e22
% 13.63/3.69 |
% 13.63/3.69 | From (910) and (907) follows:
% 13.63/3.69 | (39) h4(e11) = e21
% 13.63/3.69 |
% 13.63/3.69 +-Applying beta-rule and splitting (151), into two cases.
% 13.63/3.69 |-Branch one:
% 13.63/3.69 | (486) all_0_126_126 = e12
% 13.63/3.69 |
% 13.63/3.69 | Equations (486) can reduce 191 to:
% 13.63/3.69 | (60) ~ (all_0_125_125 = e12)
% 13.63/3.69 |
% 13.63/3.69 | Equations (486) can reduce 98 to:
% 13.63/3.69 | (487) ~ (all_0_127_127 = e12)
% 13.63/3.69 |
% 13.63/3.69 | Simplifying 487 yields:
% 13.63/3.69 | (488) ~ (all_0_127_127 = e12)
% 13.63/3.69 |
% 13.63/3.69 | Equations (486) can reduce 265 to:
% 13.63/3.69 | (489) ~ (all_0_133_133 = e12)
% 13.63/3.69 |
% 13.63/3.69 | Simplifying 489 yields:
% 13.63/3.69 | (490) ~ (all_0_133_133 = e12)
% 13.63/3.69 |
% 13.63/3.69 | From (486) and (91) follows:
% 13.63/3.69 | (919) h4(e12) = all_0_1_1
% 13.63/3.69 |
% 13.63/3.69 +-Applying beta-rule and splitting (138), into two cases.
% 13.63/3.69 |-Branch one:
% 13.63/3.69 | (492) all_0_127_127 = e12
% 13.63/3.69 |
% 13.63/3.69 | Equations (492) can reduce 488 to:
% 13.63/3.69 | (384) $false
% 13.63/3.69 |
% 13.63/3.69 |-The branch is then unsatisfiable
% 13.63/3.69 |-Branch two:
% 13.63/3.69 | (488) ~ (all_0_127_127 = e12)
% 13.63/3.69 | (495) all_0_131_131 = e12 | all_0_135_135 = e12
% 13.63/3.69 |
% 13.63/3.69 +-Applying beta-rule and splitting (495), into two cases.
% 13.63/3.69 |-Branch one:
% 13.63/3.69 | (547) all_0_131_131 = e12
% 13.63/3.69 |
% 13.63/3.69 | Equations (547) can reduce 78 to:
% 13.63/3.69 | (488) ~ (all_0_127_127 = e12)
% 13.63/3.69 |
% 13.63/3.69 | Equations (547) can reduce 314 to:
% 13.63/3.69 | (446) ~ (all_0_129_129 = e12)
% 13.63/3.69 |
% 13.63/3.69 | Equations (547) can reduce 165 to:
% 13.63/3.69 | (627) ~ (all_0_135_135 = e12)
% 13.63/3.69 |
% 13.63/3.69 | Simplifying 627 yields:
% 13.63/3.69 | (628) ~ (all_0_135_135 = e12)
% 13.63/3.69 |
% 13.63/3.69 | From (547) and (227) follows:
% 13.63/3.69 | (929) h4(e12) = all_0_6_6
% 13.63/3.69 |
% 13.63/3.69 | Instantiating formula (342) with e12, all_0_1_1, e22 and discharging atoms h4(e12) = all_0_1_1, h4(e12) = e22, yields:
% 13.63/3.69 | (930) all_0_1_1 = e22
% 13.63/3.69 |
% 13.63/3.69 | Instantiating formula (342) with e12, all_0_6_6, all_0_1_1 and discharging atoms h4(e12) = all_0_1_1, h4(e12) = all_0_6_6, yields:
% 13.63/3.69 | (931) all_0_1_1 = all_0_6_6
% 13.63/3.69 |
% 13.63/3.69 | Combining equations (930,931) yields a new equation:
% 13.63/3.69 | (932) all_0_6_6 = e22
% 13.63/3.69 |
% 13.63/3.69 | Combining equations (932,931) yields a new equation:
% 13.63/3.69 | (930) all_0_1_1 = e22
% 13.63/3.69 |
% 13.63/3.69 +-Applying beta-rule and splitting (56), into two cases.
% 13.63/3.69 |-Branch one:
% 13.63/3.69 | (934) all_0_121_121 = e20
% 13.63/3.69 |
% 13.63/3.69 | Equations (934) can reduce 86 to:
% 13.63/3.69 | (935) ~ (all_0_122_122 = e20)
% 13.63/3.69 |
% 13.63/3.69 | Simplifying 935 yields:
% 13.63/3.69 | (936) ~ (all_0_122_122 = e20)
% 13.63/3.69 |
% 13.63/3.69 | From (934) and (246) follows:
% 13.63/3.69 | (937) op2(e20, e20) = all_0_99_99
% 13.63/3.69 |
% 13.63/3.69 | From (934) and (224) follows:
% 13.63/3.69 | (938) op2(e20, e23) = e20
% 13.63/3.69 |
% 13.63/3.69 +-Applying beta-rule and splitting (117), into two cases.
% 13.63/3.69 |-Branch one:
% 13.63/3.69 | (939) all_0_118_118 = e20
% 13.63/3.69 |
% 13.63/3.69 | Equations (939) can reduce 119 to:
% 13.63/3.69 | (935) ~ (all_0_122_122 = e20)
% 13.63/3.69 |
% 13.63/3.69 | Simplifying 935 yields:
% 13.63/3.69 | (936) ~ (all_0_122_122 = e20)
% 13.63/3.69 |
% 13.63/3.69 | Equations (939) can reduce 442 to:
% 13.63/3.69 | (942) ~ (e22 = e20)
% 13.63/3.69 |
% 13.63/3.70 | Simplifying 942 yields:
% 13.63/3.70 | (112) ~ (e22 = e20)
% 13.63/3.70 |
% 13.63/3.70 | From (939)(939) and (415) follows:
% 13.63/3.70 | (944) op2(e20, e20) = all_0_87_87
% 13.63/3.70 |
% 13.63/3.70 | From (939) and (417) follows:
% 13.63/3.70 | (945) op2(e20, e20) = all_0_81_81
% 13.63/3.70 |
% 13.63/3.70 | From (939) and (420) follows:
% 13.63/3.70 | (946) op2(e20, e20) = all_0_65_65
% 13.63/3.70 |
% 13.63/3.70 +-Applying beta-rule and splitting (68), into two cases.
% 13.63/3.70 |-Branch one:
% 13.63/3.70 | (429) all_0_115_115 = e23
% 13.63/3.70 |
% 13.63/3.70 | Combining equations (421,429) yields a new equation:
% 13.63/3.70 | (430) e23 = e22
% 13.63/3.70 |
% 13.63/3.70 | Equations (430) can reduce 22 to:
% 13.63/3.70 | (384) $false
% 13.63/3.70 |
% 13.63/3.70 |-The branch is then unsatisfiable
% 13.63/3.70 |-Branch two:
% 13.63/3.70 | (432) ~ (all_0_115_115 = e23)
% 13.63/3.70 | (951) all_0_118_118 = e23 | all_0_122_122 = e23
% 13.63/3.70 |
% 13.63/3.70 +-Applying beta-rule and splitting (951), into two cases.
% 13.63/3.70 |-Branch one:
% 13.63/3.70 | (952) all_0_118_118 = e23
% 13.63/3.70 |
% 13.63/3.70 | Combining equations (952,939) yields a new equation:
% 13.63/3.70 | (953) e23 = e20
% 13.63/3.70 |
% 13.63/3.70 | Simplifying 953 yields:
% 13.63/3.70 | (954) e23 = e20
% 13.63/3.70 |
% 13.63/3.70 | Equations (954) can reduce 254 to:
% 13.63/3.70 | (384) $false
% 13.63/3.70 |
% 13.63/3.70 |-The branch is then unsatisfiable
% 13.63/3.70 |-Branch two:
% 13.63/3.70 | (956) ~ (all_0_118_118 = e23)
% 13.63/3.70 | (957) all_0_122_122 = e23
% 13.63/3.70 |
% 13.63/3.70 | Combining equations (957,407) yields a new equation:
% 13.63/3.70 | (958) all_0_101_101 = e23
% 13.63/3.70 |
% 13.63/3.70 | Equations (957) can reduce 387 to:
% 13.63/3.70 | (22) ~ (e23 = e22)
% 13.63/3.70 |
% 13.63/3.70 | Equations (957) can reduce 936 to:
% 13.63/3.70 | (254) ~ (e23 = e20)
% 13.63/3.70 |
% 13.63/3.70 | From (957) and (313) follows:
% 13.63/3.70 | (961) op2(e20, e23) = all_0_100_100
% 13.63/3.70 |
% 13.63/3.70 +-Applying beta-rule and splitting (121), into two cases.
% 13.63/3.70 |-Branch one:
% 13.63/3.70 | (962) all_0_117_117 = e23
% 13.63/3.70 |
% 13.63/3.70 | Equations (962) can reduce 370 to:
% 13.63/3.70 | (270) ~ (e23 = e21)
% 13.63/3.70 |
% 13.63/3.70 | Instantiating formula (169) with e20, e23, e20, all_0_100_100 and discharging atoms op2(e20, e23) = all_0_100_100, op2(e20, e23) = e20, yields:
% 13.63/3.70 | (964) all_0_100_100 = e20
% 13.63/3.70 |
% 13.63/3.70 | Instantiating formula (169) with e20, e20, all_0_65_65, e21 and discharging atoms op2(e20, e20) = all_0_65_65, op2(e20, e20) = e21, yields:
% 13.63/3.70 | (965) all_0_65_65 = e21
% 13.63/3.70 |
% 13.63/3.70 | Instantiating formula (169) with e20, e20, all_0_81_81, all_0_65_65 and discharging atoms op2(e20, e20) = all_0_65_65, op2(e20, e20) = all_0_81_81, yields:
% 13.63/3.70 | (966) all_0_65_65 = all_0_81_81
% 13.63/3.70 |
% 13.63/3.70 | Instantiating formula (169) with e20, e20, all_0_87_87, all_0_65_65 and discharging atoms op2(e20, e20) = all_0_65_65, op2(e20, e20) = all_0_87_87, yields:
% 13.63/3.70 | (967) all_0_65_65 = all_0_87_87
% 13.63/3.70 |
% 13.63/3.70 | Instantiating formula (169) with e20, e20, all_0_99_99, all_0_81_81 and discharging atoms op2(e20, e20) = all_0_81_81, op2(e20, e20) = all_0_99_99, yields:
% 13.63/3.70 | (968) all_0_81_81 = all_0_99_99
% 13.63/3.70 |
% 13.63/3.70 | Combining equations (966,967) yields a new equation:
% 13.63/3.70 | (969) all_0_81_81 = all_0_87_87
% 13.63/3.70 |
% 13.63/3.70 | Simplifying 969 yields:
% 13.63/3.70 | (970) all_0_81_81 = all_0_87_87
% 13.63/3.70 |
% 13.63/3.70 | Combining equations (965,967) yields a new equation:
% 13.63/3.70 | (971) all_0_87_87 = e21
% 13.63/3.70 |
% 13.63/3.70 | Combining equations (970,968) yields a new equation:
% 13.63/3.70 | (972) all_0_87_87 = all_0_99_99
% 13.63/3.70 |
% 13.63/3.70 | Simplifying 972 yields:
% 13.63/3.70 | (973) all_0_87_87 = all_0_99_99
% 13.63/3.70 |
% 13.63/3.70 | Combining equations (971,973) yields a new equation:
% 13.63/3.70 | (974) all_0_99_99 = e21
% 13.63/3.70 |
% 13.63/3.70 +-Applying beta-rule and splitting (231), into two cases.
% 13.63/3.70 |-Branch one:
% 13.63/3.70 | (975) all_0_101_101 = e21
% 13.63/3.70 |
% 13.63/3.70 | Combining equations (958,975) yields a new equation:
% 13.63/3.70 | (976) e23 = e21
% 13.63/3.70 |
% 13.63/3.70 | Simplifying 976 yields:
% 13.63/3.70 | (425) e23 = e21
% 13.63/3.70 |
% 13.63/3.70 | Equations (425) can reduce 270 to:
% 13.63/3.70 | (384) $false
% 13.63/3.70 |
% 13.63/3.70 |-The branch is then unsatisfiable
% 13.63/3.70 |-Branch two:
% 13.63/3.70 | (979) ~ (all_0_101_101 = e21)
% 13.63/3.70 | (980) all_0_99_99 = e23 | all_0_100_100 = e22 | all_0_102_102 = e20
% 13.63/3.70 |
% 13.63/3.70 | Equations (958) can reduce 979 to:
% 13.63/3.70 | (270) ~ (e23 = e21)
% 13.63/3.70 |
% 13.63/3.70 +-Applying beta-rule and splitting (980), into two cases.
% 13.63/3.70 |-Branch one:
% 13.63/3.70 | (982) all_0_100_100 = e22
% 13.63/3.70 |
% 13.63/3.70 | Combining equations (964,982) yields a new equation:
% 13.63/3.71 | (983) e22 = e20
% 13.63/3.71 |
% 13.63/3.71 | Equations (983) can reduce 112 to:
% 13.63/3.71 | (384) $false
% 13.63/3.71 |
% 13.63/3.71 |-The branch is then unsatisfiable
% 13.63/3.71 |-Branch two:
% 13.63/3.71 | (985) ~ (all_0_100_100 = e22)
% 13.63/3.71 | (986) all_0_99_99 = e23 | all_0_102_102 = e20
% 13.63/3.71 |
% 13.63/3.71 | Equations (964) can reduce 985 to:
% 13.63/3.71 | (942) ~ (e22 = e20)
% 13.63/3.71 |
% 13.63/3.71 | Simplifying 942 yields:
% 13.63/3.71 | (112) ~ (e22 = e20)
% 13.63/3.71 |
% 13.63/3.71 +-Applying beta-rule and splitting (986), into two cases.
% 13.63/3.71 |-Branch one:
% 13.63/3.71 | (989) all_0_99_99 = e23
% 13.63/3.71 |
% 13.63/3.71 | Combining equations (974,989) yields a new equation:
% 13.63/3.71 | (425) e23 = e21
% 13.63/3.71 |
% 13.63/3.71 | Equations (425) can reduce 270 to:
% 13.63/3.71 | (384) $false
% 13.63/3.71 |
% 13.63/3.71 |-The branch is then unsatisfiable
% 13.63/3.71 |-Branch two:
% 13.63/3.71 | (992) ~ (all_0_99_99 = e23)
% 13.63/3.71 | (993) all_0_102_102 = e20
% 13.63/3.71 |
% 13.63/3.71 | Combining equations (408,993) yields a new equation:
% 13.63/3.71 | (994) e22 = e20
% 13.63/3.71 |
% 13.63/3.71 | Simplifying 994 yields:
% 13.63/3.71 | (983) e22 = e20
% 13.63/3.71 |
% 13.63/3.71 | Equations (983) can reduce 112 to:
% 13.63/3.71 | (384) $false
% 13.63/3.71 |
% 13.63/3.71 |-The branch is then unsatisfiable
% 13.63/3.71 |-Branch two:
% 13.63/3.71 | (997) ~ (all_0_117_117 = e23)
% 13.63/3.71 | (998) all_0_118_118 = e23 | all_0_120_120 = e23
% 13.63/3.71 |
% 13.63/3.71 +-Applying beta-rule and splitting (998), into two cases.
% 13.63/3.71 |-Branch one:
% 13.63/3.71 | (952) all_0_118_118 = e23
% 13.63/3.71 |
% 13.63/3.71 | Combining equations (939,952) yields a new equation:
% 13.63/3.71 | (954) e23 = e20
% 13.63/3.71 |
% 13.63/3.71 | Equations (954) can reduce 254 to:
% 13.63/3.71 | (384) $false
% 13.63/3.71 |
% 13.63/3.71 |-The branch is then unsatisfiable
% 13.63/3.71 |-Branch two:
% 13.63/3.71 | (956) ~ (all_0_118_118 = e23)
% 13.63/3.71 | (1003) all_0_120_120 = e23
% 13.63/3.71 |
% 13.63/3.71 | Combining equations (441,1003) yields a new equation:
% 13.63/3.71 | (430) e23 = e22
% 13.63/3.71 |
% 13.63/3.71 | Equations (430) can reduce 22 to:
% 13.63/3.71 | (384) $false
% 13.63/3.71 |
% 13.63/3.71 |-The branch is then unsatisfiable
% 13.63/3.71 |-Branch two:
% 13.63/3.71 | (1006) ~ (all_0_118_118 = e20)
% 13.63/3.71 | (1007) all_0_122_122 = e20
% 13.63/3.71 |
% 13.63/3.71 | Equations (1007) can reduce 936 to:
% 13.63/3.71 | (384) $false
% 13.63/3.71 |
% 13.63/3.71 |-The branch is then unsatisfiable
% 13.63/3.71 |-Branch two:
% 13.63/3.71 | (1009) ~ (all_0_121_121 = e20)
% 13.63/3.71 | (1007) all_0_122_122 = e20
% 13.63/3.71 |
% 13.63/3.71 | Equations (1007) can reduce 86 to:
% 13.63/3.71 | (1009) ~ (all_0_121_121 = e20)
% 13.63/3.71 |
% 13.63/3.71 +-Applying beta-rule and splitting (340), into two cases.
% 13.63/3.71 |-Branch one:
% 13.63/3.71 | (1012) all_0_117_117 = e20
% 13.63/3.71 |
% 13.63/3.71 | Equations (1012) can reduce 267 to:
% 13.63/3.71 | (1013) ~ (all_0_121_121 = e20)
% 13.63/3.71 |
% 13.63/3.71 | Simplifying 1013 yields:
% 13.63/3.71 | (1009) ~ (all_0_121_121 = e20)
% 13.63/3.71 |
% 13.63/3.71 +-Applying beta-rule and splitting (68), into two cases.
% 13.63/3.71 |-Branch one:
% 13.63/3.71 | (429) all_0_115_115 = e23
% 13.63/3.71 |
% 13.63/3.71 | Combining equations (421,429) yields a new equation:
% 13.63/3.71 | (430) e23 = e22
% 13.63/3.71 |
% 13.63/3.71 | Equations (430) can reduce 22 to:
% 13.63/3.71 | (384) $false
% 13.63/3.71 |
% 13.63/3.71 |-The branch is then unsatisfiable
% 13.63/3.71 |-Branch two:
% 13.63/3.71 | (432) ~ (all_0_115_115 = e23)
% 13.63/3.71 | (951) all_0_118_118 = e23 | all_0_122_122 = e23
% 13.63/3.71 |
% 13.63/3.71 +-Applying beta-rule and splitting (951), into two cases.
% 13.63/3.71 |-Branch one:
% 13.63/3.71 | (952) all_0_118_118 = e23
% 13.63/3.71 |
% 13.63/3.71 +-Applying beta-rule and splitting (33), into two cases.
% 13.63/3.71 |-Branch one:
% 13.63/3.71 | (393) all_0_121_121 = e21
% 13.63/3.71 |
% 13.63/3.71 | Equations (393) can reduce 372 to:
% 13.63/3.71 | (384) $false
% 13.63/3.71 |
% 13.63/3.71 |-The branch is then unsatisfiable
% 13.63/3.71 |-Branch two:
% 13.63/3.71 | (372) ~ (all_0_121_121 = e21)
% 13.63/3.71 | (1024) all_0_121_121 = e23 | all_0_121_121 = e20
% 13.63/3.71 |
% 13.63/3.71 +-Applying beta-rule and splitting (1024), into two cases.
% 13.63/3.71 |-Branch one:
% 13.63/3.71 | (1025) all_0_121_121 = e23
% 13.63/3.71 |
% 13.63/3.71 +-Applying beta-rule and splitting (107), into two cases.
% 13.63/3.71 |-Branch one:
% 13.63/3.71 | (458) all_0_125_125 = e11
% 13.63/3.71 |
% 13.63/3.71 | Equations (458) can reduce 132 to:
% 13.63/3.71 | (461) ~ (all_0_128_128 = e11)
% 13.63/3.71 |
% 13.63/3.72 | Simplifying 461 yields:
% 13.63/3.72 | (462) ~ (all_0_128_128 = e11)
% 13.63/3.72 |
% 13.63/3.72 | Equations (458) can reduce 326 to:
% 13.63/3.72 | (463) ~ (all_0_132_132 = e11)
% 13.63/3.72 |
% 13.63/3.72 | Simplifying 463 yields:
% 13.63/3.72 | (464) ~ (all_0_132_132 = e11)
% 13.63/3.72 |
% 13.63/3.72 | Equations (458) can reduce 60 to:
% 13.63/3.72 | (455) ~ (e12 = e11)
% 13.63/3.72 |
% 13.63/3.72 | Simplifying 455 yields:
% 13.63/3.72 | (303) ~ (e12 = e11)
% 13.63/3.72 |
% 13.63/3.72 | From (458) and (289) follows:
% 13.63/3.72 | (1033) h4(e11) = all_0_0_0
% 13.63/3.72 |
% 13.63/3.72 +-Applying beta-rule and splitting (53), into two cases.
% 13.63/3.72 |-Branch one:
% 13.63/3.72 | (1034) all_0_132_132 = e11
% 13.63/3.72 |
% 13.63/3.72 | Equations (1034) can reduce 464 to:
% 13.63/3.72 | (384) $false
% 13.63/3.72 |
% 13.63/3.72 |-The branch is then unsatisfiable
% 13.63/3.72 |-Branch two:
% 13.63/3.72 | (464) ~ (all_0_132_132 = e11)
% 13.63/3.72 | (1037) all_0_134_134 = e11 | all_0_135_135 = e11
% 13.63/3.72 |
% 13.63/3.72 +-Applying beta-rule and splitting (1037), into two cases.
% 13.63/3.72 |-Branch one:
% 13.63/3.72 | (453) all_0_134_134 = e11
% 13.63/3.72 |
% 13.63/3.72 | Combining equations (453,586) yields a new equation:
% 13.63/3.72 | (475) e12 = e11
% 13.63/3.72 |
% 13.63/3.72 | Equations (475) can reduce 303 to:
% 13.63/3.72 | (384) $false
% 13.63/3.72 |
% 13.63/3.72 |-The branch is then unsatisfiable
% 13.63/3.72 |-Branch two:
% 13.63/3.72 | (887) ~ (all_0_134_134 = e11)
% 13.63/3.72 | (1042) all_0_135_135 = e11
% 13.63/3.72 |
% 13.63/3.72 | Equations (1042) can reduce 24 to:
% 13.63/3.72 | (479) ~ (all_0_127_127 = e11)
% 13.63/3.72 |
% 13.63/3.72 | Equations (1042) can reduce 334 to:
% 13.63/3.72 | (249) ~ (all_0_133_133 = e11)
% 13.63/3.72 |
% 13.63/3.72 | From (1042) and (196) follows:
% 13.63/3.72 | (1045) op1(e10, e11) = all_0_113_113
% 13.63/3.72 |
% 13.63/3.72 | From (1042) and (133) follows:
% 13.63/3.72 | (1046) op1(e10, e10) = e11
% 13.63/3.72 |
% 13.63/3.72 | From (1042) and (357) follows:
% 13.63/3.72 | (1047) h4(e11) = all_0_10_10
% 13.63/3.72 |
% 13.63/3.72 +-Applying beta-rule and splitting (177), into two cases.
% 13.63/3.72 |-Branch one:
% 13.63/3.72 | (718) all_0_125_125 = e13
% 13.63/3.72 |
% 13.63/3.72 | Combining equations (718,458) yields a new equation:
% 13.63/3.72 | (570) e13 = e11
% 13.63/3.72 |
% 13.63/3.72 | Simplifying 570 yields:
% 13.63/3.72 | (557) e13 = e11
% 13.63/3.72 |
% 13.63/3.72 | Equations (557) can reduce 337 to:
% 13.63/3.72 | (384) $false
% 13.63/3.72 |
% 13.63/3.72 |-The branch is then unsatisfiable
% 13.63/3.72 |-Branch two:
% 13.63/3.72 | (1052) ~ (all_0_125_125 = e13)
% 13.63/3.72 | (1053) all_0_126_126 = e13 | all_0_127_127 = e13
% 13.63/3.72 |
% 13.63/3.72 +-Applying beta-rule and splitting (203), into two cases.
% 13.63/3.72 |-Branch one:
% 13.63/3.72 | (500) all_0_127_127 = e11
% 13.63/3.72 |
% 13.63/3.72 | Equations (500) can reduce 479 to:
% 13.63/3.72 | (384) $false
% 13.63/3.72 |
% 13.63/3.72 |-The branch is then unsatisfiable
% 13.63/3.72 |-Branch two:
% 13.63/3.72 | (479) ~ (all_0_127_127 = e11)
% 13.63/3.72 | (503) all_0_127_127 = e13 | all_0_127_127 = e12
% 13.63/3.72 |
% 13.63/3.72 +-Applying beta-rule and splitting (251), into two cases.
% 13.63/3.72 |-Branch one:
% 13.63/3.72 | (507) all_0_127_127 = e13
% 13.63/3.72 |
% 13.63/3.72 | Equations (507) can reduce 479 to:
% 13.63/3.72 | (337) ~ (e13 = e11)
% 13.63/3.72 |
% 13.63/3.72 | Equations (507) can reduce 2 to:
% 13.63/3.72 | (187) ~ (e13 = e10)
% 13.63/3.72 |
% 13.63/3.72 | From (507) and (63) follows:
% 13.63/3.72 | (1061) h4(e13) = all_0_2_2
% 13.63/3.72 |
% 13.63/3.72 | Instantiating formula (311) with e10, e11, all_0_113_113, e12 and discharging atoms op1(e10, e11) = all_0_113_113, op1(e10, e11) = e12, yields:
% 13.63/3.72 | (1062) all_0_113_113 = e12
% 13.63/3.72 |
% 13.63/3.72 | Instantiating formula (342) with e13, all_0_2_2, e23 and discharging atoms h4(e13) = all_0_2_2, h4(e13) = e23, yields:
% 13.63/3.72 | (1063) all_0_2_2 = e23
% 13.63/3.72 |
% 13.63/3.72 | Instantiating formula (342) with e11, all_0_0_0, e21 and discharging atoms h4(e11) = all_0_0_0, h4(e11) = e21, yields:
% 13.63/3.72 | (1064) all_0_0_0 = e21
% 13.63/3.72 |
% 13.63/3.72 | Instantiating formula (342) with e11, all_0_10_10, all_0_0_0 and discharging atoms h4(e11) = all_0_0_0, h4(e11) = all_0_10_10, yields:
% 13.63/3.72 | (1065) all_0_0_0 = all_0_10_10
% 13.63/3.72 |
% 13.63/3.72 | Combining equations (1064,1065) yields a new equation:
% 13.63/3.72 | (1066) all_0_10_10 = e21
% 13.63/3.72 |
% 13.63/3.72 | Combining equations (1066,1065) yields a new equation:
% 13.63/3.72 | (1064) all_0_0_0 = e21
% 13.63/3.72 |
% 13.63/3.72 | From (1063) and (1061) follows:
% 13.63/3.72 | (325) h4(e13) = e23
% 13.63/3.72 |
% 13.63/3.72 +-Applying beta-rule and splitting (230), into two cases.
% 13.63/3.72 |-Branch one:
% 13.63/3.72 | (524) all_0_128_128 = e10
% 13.63/3.72 |
% 13.63/3.72 | Equations (524) can reduce 336 to:
% 13.63/3.72 | (1070) ~ (all_0_132_132 = e10)
% 13.63/3.72 |
% 13.63/3.72 | Simplifying 1070 yields:
% 13.63/3.72 | (523) ~ (all_0_132_132 = e10)
% 13.63/3.72 |
% 13.63/3.72 | From (524) and (126) follows:
% 13.63/3.72 | (1072) h4(e10) = all_0_3_3
% 13.63/3.72 |
% 13.63/3.72 +-Applying beta-rule and splitting (171), into two cases.
% 13.63/3.72 |-Branch one:
% 13.63/3.72 | (609) all_0_132_132 = e10
% 13.63/3.72 |
% 13.63/3.72 | Equations (609) can reduce 523 to:
% 13.63/3.72 | (384) $false
% 13.63/3.72 |
% 13.63/3.72 |-The branch is then unsatisfiable
% 13.63/3.72 |-Branch two:
% 13.63/3.72 | (523) ~ (all_0_132_132 = e10)
% 13.63/3.72 | (532) all_0_133_133 = e10
% 13.63/3.72 |
% 13.63/3.72 | Equations (532) can reduce 150 to:
% 13.63/3.72 | (526) ~ (all_0_129_129 = e10)
% 13.63/3.72 |
% 13.63/3.72 | From (532) and (73) follows:
% 13.63/3.72 | (1078) h4(e10) = all_0_8_8
% 13.63/3.72 |
% 13.63/3.72 +-Applying beta-rule and splitting (170), into two cases.
% 13.63/3.72 |-Branch one:
% 13.63/3.72 | (541) all_0_132_132 = e13
% 13.63/3.72 |
% 13.63/3.72 | From (541) and (262) follows:
% 13.63/3.73 | (1080) h4(e13) = all_0_7_7
% 13.63/3.73 |
% 13.63/3.73 +-Applying beta-rule and splitting (281), into two cases.
% 13.63/3.73 |-Branch one:
% 13.63/3.73 | (632) all_0_129_129 = e12
% 13.63/3.73 |
% 13.63/3.73 | Equations (632) can reduce 446 to:
% 13.63/3.73 | (384) $false
% 13.63/3.73 |
% 13.63/3.73 |-The branch is then unsatisfiable
% 13.63/3.73 |-Branch two:
% 13.63/3.73 | (446) ~ (all_0_129_129 = e12)
% 13.63/3.73 | (635) all_0_129_129 = e13 | all_0_129_129 = e10
% 13.63/3.73 |
% 13.63/3.73 +-Applying beta-rule and splitting (635), into two cases.
% 13.63/3.73 |-Branch one:
% 13.63/3.73 | (543) all_0_129_129 = e13
% 13.63/3.73 |
% 13.63/3.73 | From (543) and (346) follows:
% 13.63/3.73 | (1086) h4(e13) = all_0_4_4
% 13.63/3.73 |
% 13.63/3.73 | Instantiating formula (342) with e13, all_0_4_4, e23 and discharging atoms h4(e13) = all_0_4_4, h4(e13) = e23, yields:
% 13.63/3.73 | (1087) all_0_4_4 = e23
% 13.63/3.73 |
% 13.63/3.73 | Instantiating formula (342) with e13, all_0_7_7, all_0_4_4 and discharging atoms h4(e13) = all_0_4_4, h4(e13) = all_0_7_7, yields:
% 13.63/3.73 | (1088) all_0_4_4 = all_0_7_7
% 13.63/3.73 |
% 13.63/3.73 | Instantiating formula (342) with e10, all_0_3_3, e20 and discharging atoms h4(e10) = all_0_3_3, h4(e10) = e20, yields:
% 13.63/3.73 | (1089) all_0_3_3 = e20
% 13.63/3.73 |
% 13.63/3.73 | Instantiating formula (342) with e10, all_0_8_8, all_0_3_3 and discharging atoms h4(e10) = all_0_3_3, h4(e10) = all_0_8_8, yields:
% 13.63/3.73 | (1090) all_0_3_3 = all_0_8_8
% 13.63/3.73 |
% 13.63/3.73 | Combining equations (1089,1090) yields a new equation:
% 13.63/3.73 | (1091) all_0_8_8 = e20
% 13.63/3.73 |
% 13.63/3.73 | Combining equations (1088,1087) yields a new equation:
% 13.63/3.73 | (1092) all_0_7_7 = e23
% 13.63/3.73 |
% 13.63/3.73 | Simplifying 1092 yields:
% 13.63/3.73 | (1093) all_0_7_7 = e23
% 13.63/3.73 |
% 13.63/3.73 | Combining equations (1091,1090) yields a new equation:
% 13.63/3.73 | (1089) all_0_3_3 = e20
% 13.63/3.73 |
% 13.63/3.73 +-Applying beta-rule and splitting (120), into two cases.
% 13.63/3.73 |-Branch one:
% 13.63/3.73 | (1095) ~ (all_0_0_0 = all_0_114_114)
% 13.63/3.73 |
% 13.63/3.73 | Equations (1064,366) can reduce 1095 to:
% 13.63/3.73 | (384) $false
% 13.63/3.73 |
% 13.63/3.73 |-The branch is then unsatisfiable
% 13.63/3.73 |-Branch two:
% 13.63/3.73 | (1097) all_0_0_0 = all_0_114_114
% 13.63/3.73 | (1098) ~ (all_0_1_1 = all_0_115_115) | ~ (all_0_2_2 = all_0_116_116) | ~ (all_0_3_3 = all_0_117_117) | ~ (all_0_4_4 = all_0_118_118) | ~ (all_0_5_5 = all_0_119_119) | ~ (all_0_6_6 = all_0_120_120) | ~ (all_0_7_7 = all_0_121_121) | ~ (all_0_8_8 = all_0_122_122) | ~ (all_0_9_9 = all_0_123_123) | ~ (all_0_10_10 = all_0_124_124)
% 13.63/3.73 |
% 13.63/3.73 +-Applying beta-rule and splitting (1098), into two cases.
% 13.63/3.73 |-Branch one:
% 13.63/3.73 | (1099) ~ (all_0_1_1 = all_0_115_115)
% 13.63/3.73 |
% 13.63/3.73 | Equations (930,421) can reduce 1099 to:
% 13.63/3.73 | (384) $false
% 13.63/3.73 |
% 13.63/3.73 |-The branch is then unsatisfiable
% 13.63/3.73 |-Branch two:
% 13.63/3.73 | (1101) all_0_1_1 = all_0_115_115
% 13.63/3.73 | (1102) ~ (all_0_2_2 = all_0_116_116) | ~ (all_0_3_3 = all_0_117_117) | ~ (all_0_4_4 = all_0_118_118) | ~ (all_0_5_5 = all_0_119_119) | ~ (all_0_6_6 = all_0_120_120) | ~ (all_0_7_7 = all_0_121_121) | ~ (all_0_8_8 = all_0_122_122) | ~ (all_0_9_9 = all_0_123_123) | ~ (all_0_10_10 = all_0_124_124)
% 13.63/3.73 |
% 13.63/3.73 +-Applying beta-rule and splitting (1102), into two cases.
% 13.63/3.73 |-Branch one:
% 13.63/3.73 | (1103) ~ (all_0_2_2 = all_0_116_116)
% 13.63/3.73 |
% 13.63/3.73 | Equations (1063,433) can reduce 1103 to:
% 13.63/3.73 | (384) $false
% 13.63/3.73 |
% 13.63/3.73 |-The branch is then unsatisfiable
% 13.63/3.73 |-Branch two:
% 13.63/3.73 | (1105) all_0_2_2 = all_0_116_116
% 13.63/3.73 | (1106) ~ (all_0_3_3 = all_0_117_117) | ~ (all_0_4_4 = all_0_118_118) | ~ (all_0_5_5 = all_0_119_119) | ~ (all_0_6_6 = all_0_120_120) | ~ (all_0_7_7 = all_0_121_121) | ~ (all_0_8_8 = all_0_122_122) | ~ (all_0_9_9 = all_0_123_123) | ~ (all_0_10_10 = all_0_124_124)
% 13.63/3.73 |
% 13.63/3.73 +-Applying beta-rule and splitting (1106), into two cases.
% 13.63/3.73 |-Branch one:
% 13.63/3.73 | (1107) ~ (all_0_3_3 = all_0_117_117)
% 13.63/3.73 |
% 13.63/3.73 | Equations (1089,1012) can reduce 1107 to:
% 13.63/3.73 | (384) $false
% 13.63/3.73 |
% 13.63/3.73 |-The branch is then unsatisfiable
% 13.63/3.73 |-Branch two:
% 13.63/3.73 | (1109) all_0_3_3 = all_0_117_117
% 13.63/3.73 | (1110) ~ (all_0_4_4 = all_0_118_118) | ~ (all_0_5_5 = all_0_119_119) | ~ (all_0_6_6 = all_0_120_120) | ~ (all_0_7_7 = all_0_121_121) | ~ (all_0_8_8 = all_0_122_122) | ~ (all_0_9_9 = all_0_123_123) | ~ (all_0_10_10 = all_0_124_124)
% 13.63/3.73 |
% 13.63/3.73 +-Applying beta-rule and splitting (1110), into two cases.
% 13.63/3.73 |-Branch one:
% 13.63/3.73 | (1111) ~ (all_0_4_4 = all_0_118_118)
% 13.63/3.73 |
% 13.63/3.73 | Equations (1087,952) can reduce 1111 to:
% 13.63/3.73 | (384) $false
% 13.63/3.73 |
% 13.63/3.73 |-The branch is then unsatisfiable
% 13.63/3.73 |-Branch two:
% 13.63/3.73 | (1113) all_0_4_4 = all_0_118_118
% 13.63/3.73 | (1114) ~ (all_0_5_5 = all_0_119_119) | ~ (all_0_6_6 = all_0_120_120) | ~ (all_0_7_7 = all_0_121_121) | ~ (all_0_8_8 = all_0_122_122) | ~ (all_0_9_9 = all_0_123_123) | ~ (all_0_10_10 = all_0_124_124)
% 13.63/3.73 |
% 13.63/3.73 +-Applying beta-rule and splitting (1114), into two cases.
% 13.63/3.73 |-Branch one:
% 13.63/3.73 | (1115) ~ (all_0_5_5 = all_0_119_119)
% 13.63/3.73 |
% 13.63/3.73 | Equations (910,376) can reduce 1115 to:
% 13.63/3.73 | (384) $false
% 13.63/3.73 |
% 13.63/3.73 |-The branch is then unsatisfiable
% 13.63/3.73 |-Branch two:
% 13.63/3.73 | (1117) all_0_5_5 = all_0_119_119
% 13.63/3.73 | (1118) ~ (all_0_6_6 = all_0_120_120) | ~ (all_0_7_7 = all_0_121_121) | ~ (all_0_8_8 = all_0_122_122) | ~ (all_0_9_9 = all_0_123_123) | ~ (all_0_10_10 = all_0_124_124)
% 13.63/3.73 |
% 13.63/3.73 +-Applying beta-rule and splitting (1118), into two cases.
% 13.63/3.73 |-Branch one:
% 13.63/3.74 | (1119) ~ (all_0_6_6 = all_0_120_120)
% 13.63/3.74 |
% 13.63/3.74 | Equations (932,441) can reduce 1119 to:
% 13.63/3.74 | (384) $false
% 13.63/3.74 |
% 13.63/3.74 |-The branch is then unsatisfiable
% 13.63/3.74 |-Branch two:
% 13.63/3.74 | (1121) all_0_6_6 = all_0_120_120
% 13.63/3.74 | (1122) ~ (all_0_7_7 = all_0_121_121) | ~ (all_0_8_8 = all_0_122_122) | ~ (all_0_9_9 = all_0_123_123) | ~ (all_0_10_10 = all_0_124_124)
% 13.63/3.74 |
% 13.63/3.74 +-Applying beta-rule and splitting (1122), into two cases.
% 13.63/3.74 |-Branch one:
% 13.63/3.74 | (1123) ~ (all_0_7_7 = all_0_121_121)
% 13.63/3.74 |
% 13.63/3.74 | Equations (1093,1025) can reduce 1123 to:
% 13.63/3.74 | (384) $false
% 13.63/3.74 |
% 13.63/3.74 |-The branch is then unsatisfiable
% 13.63/3.74 |-Branch two:
% 13.63/3.74 | (1125) all_0_7_7 = all_0_121_121
% 13.63/3.74 | (1126) ~ (all_0_8_8 = all_0_122_122) | ~ (all_0_9_9 = all_0_123_123) | ~ (all_0_10_10 = all_0_124_124)
% 13.63/3.74 |
% 13.63/3.74 +-Applying beta-rule and splitting (1126), into two cases.
% 13.63/3.74 |-Branch one:
% 13.63/3.74 | (1127) ~ (all_0_8_8 = all_0_122_122)
% 13.63/3.74 |
% 13.63/3.74 | Equations (1091,1007) can reduce 1127 to:
% 13.63/3.74 | (384) $false
% 13.63/3.74 |
% 13.63/3.74 |-The branch is then unsatisfiable
% 13.63/3.74 |-Branch two:
% 13.63/3.74 | (1129) all_0_8_8 = all_0_122_122
% 13.63/3.74 | (1130) ~ (all_0_9_9 = all_0_123_123) | ~ (all_0_10_10 = all_0_124_124)
% 13.63/3.74 |
% 13.63/3.74 +-Applying beta-rule and splitting (1130), into two cases.
% 13.63/3.74 |-Branch one:
% 13.63/3.74 | (1131) ~ (all_0_9_9 = all_0_123_123)
% 13.63/3.74 |
% 13.63/3.74 | Equations (909,386) can reduce 1131 to:
% 13.63/3.74 | (384) $false
% 13.63/3.74 |
% 13.63/3.74 |-The branch is then unsatisfiable
% 13.63/3.74 |-Branch two:
% 13.63/3.74 | (1133) all_0_9_9 = all_0_123_123
% 13.63/3.74 | (1134) ~ (all_0_10_10 = all_0_124_124)
% 13.63/3.74 |
% 13.63/3.74 | Equations (1066,401) can reduce 1134 to:
% 13.63/3.74 | (384) $false
% 13.63/3.74 |
% 13.63/3.74 |-The branch is then unsatisfiable
% 13.63/3.74 |-Branch two:
% 13.63/3.74 | (577) ~ (all_0_129_129 = e13)
% 13.63/3.74 | (529) all_0_129_129 = e10
% 13.63/3.74 |
% 13.63/3.74 | Equations (529) can reduce 526 to:
% 13.63/3.74 | (384) $false
% 13.63/3.74 |
% 13.63/3.74 |-The branch is then unsatisfiable
% 13.63/3.74 |-Branch two:
% 13.63/3.74 | (582) ~ (all_0_132_132 = e13)
% 13.63/3.74 | (583) all_0_133_133 = e13 | all_0_135_135 = e13
% 13.63/3.74 |
% 13.63/3.74 +-Applying beta-rule and splitting (285), into two cases.
% 13.63/3.74 |-Branch one:
% 13.63/3.74 | (718) all_0_125_125 = e13
% 13.63/3.74 |
% 13.63/3.74 | Combining equations (718,458) yields a new equation:
% 13.63/3.74 | (570) e13 = e11
% 13.63/3.74 |
% 13.63/3.74 | Simplifying 570 yields:
% 13.63/3.74 | (557) e13 = e11
% 13.63/3.74 |
% 13.63/3.74 | Equations (557) can reduce 337 to:
% 13.63/3.74 | (384) $false
% 13.63/3.74 |
% 13.63/3.74 |-The branch is then unsatisfiable
% 13.63/3.74 |-Branch two:
% 13.63/3.74 | (1052) ~ (all_0_125_125 = e13)
% 13.63/3.74 | (1146) all_0_128_128 = e13 | all_0_132_132 = e13
% 13.63/3.74 |
% 13.63/3.74 | Equations (458) can reduce 1052 to:
% 13.63/3.74 | (903) ~ (e13 = e11)
% 13.63/3.74 |
% 13.63/3.74 | Simplifying 903 yields:
% 13.63/3.74 | (337) ~ (e13 = e11)
% 13.63/3.74 |
% 13.63/3.74 +-Applying beta-rule and splitting (148), into two cases.
% 13.63/3.74 |-Branch one:
% 13.63/3.74 | (536) all_0_128_128 = e13
% 13.63/3.74 |
% 13.63/3.74 | Combining equations (524,536) yields a new equation:
% 13.63/3.74 | (537) e13 = e10
% 13.63/3.74 |
% 13.63/3.74 | Equations (537) can reduce 187 to:
% 13.63/3.74 | (384) $false
% 13.63/3.74 |
% 13.63/3.74 |-The branch is then unsatisfiable
% 13.63/3.74 |-Branch two:
% 13.63/3.74 | (539) ~ (all_0_128_128 = e13)
% 13.63/3.74 | (540) all_0_129_129 = e13 | all_0_131_131 = e13
% 13.63/3.74 |
% 13.63/3.74 | Equations (524) can reduce 539 to:
% 13.63/3.74 | (734) ~ (e13 = e10)
% 13.63/3.74 |
% 13.63/3.74 | Simplifying 734 yields:
% 13.63/3.74 | (187) ~ (e13 = e10)
% 13.63/3.74 |
% 13.63/3.74 +-Applying beta-rule and splitting (583), into two cases.
% 13.63/3.74 |-Branch one:
% 13.63/3.75 | (594) all_0_133_133 = e13
% 13.63/3.75 |
% 13.63/3.75 | Combining equations (594,532) yields a new equation:
% 13.63/3.75 | (595) e13 = e10
% 13.63/3.75 |
% 13.63/3.75 | Simplifying 595 yields:
% 13.63/3.75 | (537) e13 = e10
% 13.63/3.75 |
% 13.63/3.75 | Equations (537) can reduce 187 to:
% 13.63/3.75 | (384) $false
% 13.63/3.75 |
% 13.63/3.75 |-The branch is then unsatisfiable
% 13.63/3.75 |-Branch two:
% 13.63/3.75 | (598) ~ (all_0_133_133 = e13)
% 13.63/3.75 | (599) all_0_135_135 = e13
% 13.63/3.75 |
% 13.63/3.75 | Combining equations (1042,599) yields a new equation:
% 13.63/3.75 | (557) e13 = e11
% 13.63/3.75 |
% 13.63/3.75 | Equations (557) can reduce 337 to:
% 13.63/3.75 | (384) $false
% 13.63/3.75 |
% 13.63/3.75 |-The branch is then unsatisfiable
% 13.63/3.75 |-Branch two:
% 13.63/3.75 | (608) ~ (all_0_128_128 = e10)
% 13.63/3.75 | (609) all_0_132_132 = e10
% 13.63/3.75 |
% 13.63/3.75 | Equations (609) can reduce 50 to:
% 13.63/3.75 | (732) ~ (all_0_133_133 = e10)
% 13.63/3.75 |
% 13.63/3.75 | Simplifying 732 yields:
% 13.63/3.75 | (515) ~ (all_0_133_133 = e10)
% 13.63/3.75 |
% 13.63/3.75 | From (609) and (307) follows:
% 13.63/3.75 | (1168) op1(e10, e10) = all_0_110_110
% 13.63/3.75 |
% 13.63/3.75 | From (609) and (66) follows:
% 13.63/3.75 | (1169) op1(e10, e13) = e10
% 13.63/3.75 |
% 13.63/3.75 +-Applying beta-rule and splitting (285), into two cases.
% 13.63/3.75 |-Branch one:
% 13.63/3.75 | (718) all_0_125_125 = e13
% 13.63/3.75 |
% 13.63/3.75 | Combining equations (458,718) yields a new equation:
% 13.63/3.75 | (557) e13 = e11
% 13.63/3.75 |
% 13.63/3.75 | Equations (557) can reduce 337 to:
% 13.63/3.75 | (384) $false
% 13.63/3.75 |
% 13.63/3.75 |-The branch is then unsatisfiable
% 13.63/3.75 |-Branch two:
% 13.63/3.75 | (1052) ~ (all_0_125_125 = e13)
% 13.63/3.75 | (1146) all_0_128_128 = e13 | all_0_132_132 = e13
% 13.63/3.75 |
% 13.63/3.75 +-Applying beta-rule and splitting (140), into two cases.
% 13.63/3.75 |-Branch one:
% 13.63/3.75 | (529) all_0_129_129 = e10
% 13.63/3.75 |
% 13.63/3.75 | Equations (529) can reduce 150 to:
% 13.63/3.75 | (732) ~ (all_0_133_133 = e10)
% 13.63/3.75 |
% 13.63/3.75 | Simplifying 732 yields:
% 13.63/3.75 | (515) ~ (all_0_133_133 = e10)
% 13.63/3.75 |
% 13.63/3.75 | Equations (529) can reduce 446 to:
% 13.63/3.75 | (567) ~ (e12 = e10)
% 13.63/3.75 |
% 13.63/3.75 | Simplifying 567 yields:
% 13.63/3.75 | (158) ~ (e12 = e10)
% 13.63/3.75 |
% 13.63/3.75 +-Applying beta-rule and splitting (106), into two cases.
% 13.63/3.75 |-Branch one:
% 13.63/3.75 | (496) all_0_133_133 = e12
% 13.63/3.75 |
% 13.63/3.75 | Equations (496) can reduce 490 to:
% 13.63/3.75 | (384) $false
% 13.63/3.75 |
% 13.63/3.75 |-The branch is then unsatisfiable
% 13.63/3.75 |-Branch two:
% 13.63/3.75 | (490) ~ (all_0_133_133 = e12)
% 13.63/3.75 | (1183) all_0_133_133 = e13 | all_0_133_133 = e10
% 13.63/3.75 |
% 13.63/3.75 +-Applying beta-rule and splitting (170), into two cases.
% 13.63/3.75 |-Branch one:
% 13.63/3.75 | (541) all_0_132_132 = e13
% 13.63/3.75 |
% 13.63/3.75 | Combining equations (541,609) yields a new equation:
% 13.63/3.75 | (595) e13 = e10
% 13.63/3.75 |
% 13.63/3.75 | Simplifying 595 yields:
% 13.63/3.75 | (537) e13 = e10
% 13.63/3.75 |
% 13.63/3.75 | Equations (537) can reduce 187 to:
% 13.63/3.75 | (384) $false
% 13.63/3.75 |
% 13.63/3.75 |-The branch is then unsatisfiable
% 13.63/3.75 |-Branch two:
% 13.63/3.75 | (582) ~ (all_0_132_132 = e13)
% 13.63/3.75 | (583) all_0_133_133 = e13 | all_0_135_135 = e13
% 13.63/3.75 |
% 13.63/3.75 +-Applying beta-rule and splitting (148), into two cases.
% 13.63/3.75 |-Branch one:
% 13.63/3.75 | (536) all_0_128_128 = e13
% 13.63/3.75 |
% 13.63/3.75 | Equations (536) can reduce 462 to:
% 13.63/3.75 | (337) ~ (e13 = e11)
% 13.63/3.75 |
% 13.63/3.75 +-Applying beta-rule and splitting (583), into two cases.
% 13.63/3.75 |-Branch one:
% 13.63/3.75 | (594) all_0_133_133 = e13
% 13.63/3.75 |
% 13.63/3.75 | Combining equations (594,908) yields a new equation:
% 13.63/3.75 | (1193) all_0_112_112 = e13
% 13.63/3.75 |
% 13.63/3.75 | Equations (594) can reduce 249 to:
% 13.63/3.75 | (337) ~ (e13 = e11)
% 13.63/3.75 |
% 13.63/3.75 | From (594) and (125) follows:
% 13.63/3.75 | (1195) op1(e10, e13) = all_0_111_111
% 13.63/3.75 |
% 13.63/3.75 | Instantiating formula (311) with e10, e13, e10, all_0_111_111 and discharging atoms op1(e10, e13) = all_0_111_111, op1(e10, e13) = e10, yields:
% 13.63/3.75 | (1196) all_0_111_111 = e10
% 13.63/3.75 |
% 13.63/3.75 | Instantiating formula (311) with e10, e10, all_0_110_110, e11 and discharging atoms op1(e10, e10) = all_0_110_110, op1(e10, e10) = e11, yields:
% 13.63/3.75 | (1197) all_0_110_110 = e11
% 13.63/3.75 |
% 13.63/3.75 +-Applying beta-rule and splitting (136), into two cases.
% 13.63/3.75 |-Branch one:
% 13.63/3.75 | (1198) all_0_112_112 = e11
% 13.63/3.75 |
% 13.63/3.75 | Combining equations (1193,1198) yields a new equation:
% 13.63/3.75 | (570) e13 = e11
% 13.63/3.75 |
% 13.63/3.75 | Simplifying 570 yields:
% 13.63/3.75 | (557) e13 = e11
% 13.63/3.75 |
% 13.63/3.75 | Equations (557) can reduce 337 to:
% 13.63/3.75 | (384) $false
% 13.63/3.75 |
% 13.63/3.75 |-The branch is then unsatisfiable
% 13.63/3.75 |-Branch two:
% 13.63/3.75 | (1202) ~ (all_0_112_112 = e11)
% 13.63/3.75 | (1203) all_0_110_110 = e13 | all_0_111_111 = e12 | all_0_113_113 = e10
% 13.63/3.75 |
% 13.63/3.75 | Equations (1193) can reduce 1202 to:
% 13.63/3.75 | (337) ~ (e13 = e11)
% 13.63/3.75 |
% 13.63/3.75 +-Applying beta-rule and splitting (1203), into two cases.
% 13.63/3.75 |-Branch one:
% 13.63/3.75 | (1205) all_0_111_111 = e12
% 13.63/3.75 |
% 13.63/3.75 | Combining equations (1196,1205) yields a new equation:
% 13.63/3.75 | (563) e12 = e10
% 13.63/3.75 |
% 13.63/3.75 | Equations (563) can reduce 158 to:
% 13.63/3.75 | (384) $false
% 13.63/3.75 |
% 13.63/3.75 |-The branch is then unsatisfiable
% 13.63/3.75 |-Branch two:
% 13.63/3.76 | (1208) ~ (all_0_111_111 = e12)
% 13.63/3.76 | (1209) all_0_110_110 = e13 | all_0_113_113 = e10
% 13.63/3.76 |
% 13.63/3.76 | Equations (1196) can reduce 1208 to:
% 13.63/3.76 | (567) ~ (e12 = e10)
% 13.63/3.76 |
% 13.63/3.76 | Simplifying 567 yields:
% 13.63/3.76 | (158) ~ (e12 = e10)
% 13.63/3.76 |
% 13.63/3.76 +-Applying beta-rule and splitting (1209), into two cases.
% 13.63/3.76 |-Branch one:
% 13.63/3.76 | (1212) all_0_110_110 = e13
% 13.63/3.76 |
% 13.63/3.76 | Combining equations (1197,1212) yields a new equation:
% 13.63/3.76 | (557) e13 = e11
% 13.63/3.76 |
% 13.63/3.76 | Equations (557) can reduce 337 to:
% 13.63/3.76 | (384) $false
% 13.63/3.76 |
% 13.63/3.76 |-The branch is then unsatisfiable
% 13.63/3.76 |-Branch two:
% 13.63/3.76 | (1215) ~ (all_0_110_110 = e13)
% 13.63/3.76 | (1216) all_0_113_113 = e10
% 13.63/3.76 |
% 13.63/3.76 | Combining equations (1062,1216) yields a new equation:
% 13.63/3.76 | (1217) e12 = e10
% 13.63/3.76 |
% 13.63/3.76 | Simplifying 1217 yields:
% 13.63/3.76 | (563) e12 = e10
% 13.63/3.76 |
% 13.63/3.76 | Equations (563) can reduce 158 to:
% 13.63/3.76 | (384) $false
% 13.63/3.76 |
% 13.63/3.76 |-The branch is then unsatisfiable
% 13.63/3.76 |-Branch two:
% 13.63/3.76 | (598) ~ (all_0_133_133 = e13)
% 13.63/3.76 | (599) all_0_135_135 = e13
% 13.63/3.76 |
% 13.63/3.76 | Combining equations (599,1042) yields a new equation:
% 13.63/3.76 | (570) e13 = e11
% 13.63/3.76 |
% 13.63/3.76 | Simplifying 570 yields:
% 13.63/3.76 | (557) e13 = e11
% 13.63/3.76 |
% 13.63/3.76 | Equations (557) can reduce 337 to:
% 13.63/3.76 | (384) $false
% 13.63/3.76 |
% 13.63/3.76 |-The branch is then unsatisfiable
% 13.63/3.76 |-Branch two:
% 13.63/3.76 | (539) ~ (all_0_128_128 = e13)
% 13.63/3.76 | (540) all_0_129_129 = e13 | all_0_131_131 = e13
% 13.63/3.76 |
% 13.63/3.76 +-Applying beta-rule and splitting (1183), into two cases.
% 13.63/3.76 |-Branch one:
% 13.63/3.76 | (594) all_0_133_133 = e13
% 13.63/3.76 |
% 13.63/3.76 | Equations (594) can reduce 515 to:
% 13.63/3.76 | (187) ~ (e13 = e10)
% 13.63/3.76 |
% 13.63/3.76 +-Applying beta-rule and splitting (1146), into two cases.
% 13.63/3.76 |-Branch one:
% 13.63/3.76 | (536) all_0_128_128 = e13
% 13.63/3.76 |
% 13.63/3.76 | Equations (536) can reduce 539 to:
% 13.63/3.76 | (384) $false
% 13.63/3.76 |
% 13.63/3.76 |-The branch is then unsatisfiable
% 13.63/3.76 |-Branch two:
% 13.63/3.76 | (539) ~ (all_0_128_128 = e13)
% 13.63/3.76 | (541) all_0_132_132 = e13
% 13.63/3.76 |
% 13.63/3.76 | Combining equations (541,609) yields a new equation:
% 13.63/3.76 | (595) e13 = e10
% 13.63/3.76 |
% 13.63/3.76 | Simplifying 595 yields:
% 13.63/3.76 | (537) e13 = e10
% 13.63/3.76 |
% 13.63/3.76 | Equations (537) can reduce 187 to:
% 13.63/3.76 | (384) $false
% 13.63/3.76 |
% 13.63/3.76 |-The branch is then unsatisfiable
% 13.63/3.76 |-Branch two:
% 13.63/3.76 | (598) ~ (all_0_133_133 = e13)
% 13.63/3.76 | (532) all_0_133_133 = e10
% 13.63/3.76 |
% 13.63/3.76 | Equations (532) can reduce 515 to:
% 13.63/3.76 | (384) $false
% 13.63/3.76 |
% 13.63/3.76 |-The branch is then unsatisfiable
% 13.63/3.76 |-Branch two:
% 13.63/3.76 | (526) ~ (all_0_129_129 = e10)
% 13.63/3.76 | (532) all_0_133_133 = e10
% 13.63/3.76 |
% 13.63/3.76 | Equations (532) can reduce 515 to:
% 13.63/3.76 | (384) $false
% 13.63/3.76 |
% 13.63/3.76 |-The branch is then unsatisfiable
% 13.63/3.76 |-Branch two:
% 13.63/3.76 | (614) ~ (all_0_127_127 = e13)
% 13.63/3.76 | (640) all_0_131_131 = e13 | all_0_135_135 = e13
% 13.63/3.76 |
% 13.63/3.76 +-Applying beta-rule and splitting (1053), into two cases.
% 13.63/3.76 |-Branch one:
% 13.63/3.76 | (612) all_0_126_126 = e13
% 13.63/3.76 |
% 13.63/3.76 | Combining equations (612,486) yields a new equation:
% 13.63/3.76 | (600) e13 = e12
% 13.63/3.76 |
% 13.63/3.76 | Simplifying 600 yields:
% 13.63/3.76 | (601) e13 = e12
% 13.63/3.76 |
% 13.63/3.76 | Equations (601) can reduce 276 to:
% 13.63/3.76 | (384) $false
% 13.63/3.76 |
% 13.63/3.76 |-The branch is then unsatisfiable
% 13.63/3.76 |-Branch two:
% 13.63/3.76 | (720) ~ (all_0_126_126 = e13)
% 13.63/3.76 | (507) all_0_127_127 = e13
% 13.63/3.76 |
% 13.63/3.76 | Equations (507) can reduce 614 to:
% 13.63/3.76 | (384) $false
% 13.63/3.76 |
% 13.63/3.76 |-The branch is then unsatisfiable
% 13.63/3.76 |-Branch two:
% 13.63/3.76 | (704) ~ (all_0_125_125 = e11)
% 13.63/3.76 | (718) all_0_125_125 = e13
% 13.63/3.76 |
% 13.63/3.76 | Equations (718) can reduce 704 to:
% 13.63/3.76 | (337) ~ (e13 = e11)
% 13.63/3.76 |
% 13.63/3.76 +-Applying beta-rule and splitting (304), into two cases.
% 13.63/3.76 |-Branch one:
% 13.63/3.76 | (458) all_0_125_125 = e11
% 13.63/3.76 |
% 13.63/3.76 | Combining equations (718,458) yields a new equation:
% 13.63/3.77 | (570) e13 = e11
% 13.63/3.77 |
% 13.63/3.77 | Simplifying 570 yields:
% 13.63/3.77 | (557) e13 = e11
% 13.63/3.77 |
% 13.63/3.77 | Equations (557) can reduce 337 to:
% 13.63/3.77 | (384) $false
% 13.63/3.77 |
% 13.63/3.77 |-The branch is then unsatisfiable
% 13.63/3.77 |-Branch two:
% 13.63/3.77 | (704) ~ (all_0_125_125 = e11)
% 13.63/3.77 | (500) all_0_127_127 = e11
% 13.63/3.77 |
% 13.63/3.77 | Equations (500) can reduce 24 to:
% 13.63/3.77 | (1260) ~ (all_0_135_135 = e11)
% 13.63/3.77 |
% 13.63/3.77 | Simplifying 1260 yields:
% 13.63/3.77 | (1261) ~ (all_0_135_135 = e11)
% 13.63/3.77 |
% 13.63/3.77 | Equations (500) can reduce 488 to:
% 13.63/3.77 | (455) ~ (e12 = e11)
% 13.63/3.77 |
% 13.63/3.77 | Simplifying 455 yields:
% 13.63/3.77 | (303) ~ (e12 = e11)
% 13.63/3.77 |
% 13.63/3.77 | Equations (500) can reduce 2 to:
% 13.63/3.77 | (288) ~ (e11 = e10)
% 13.63/3.77 |
% 13.63/3.77 +-Applying beta-rule and splitting (53), into two cases.
% 13.63/3.77 |-Branch one:
% 13.63/3.77 | (1034) all_0_132_132 = e11
% 13.63/3.77 |
% 13.63/3.77 | Equations (1034) can reduce 50 to:
% 13.63/3.77 | (1266) ~ (all_0_133_133 = e11)
% 13.63/3.77 |
% 13.63/3.77 | Simplifying 1266 yields:
% 13.63/3.77 | (249) ~ (all_0_133_133 = e11)
% 13.63/3.77 |
% 13.63/3.77 | Equations (1034) can reduce 268 to:
% 13.63/3.77 | (1260) ~ (all_0_135_135 = e11)
% 13.63/3.77 |
% 13.63/3.77 | Simplifying 1260 yields:
% 13.63/3.77 | (1261) ~ (all_0_135_135 = e11)
% 13.63/3.77 |
% 13.63/3.77 | From (1034) and (307) follows:
% 13.63/3.77 | (1270) op1(e10, e11) = all_0_110_110
% 13.63/3.77 |
% 13.63/3.77 | From (1034) and (66) follows:
% 13.63/3.77 | (1271) op1(e10, e13) = e11
% 13.63/3.77 |
% 13.63/3.77 +-Applying beta-rule and splitting (230), into two cases.
% 13.63/3.77 |-Branch one:
% 13.63/3.77 | (524) all_0_128_128 = e10
% 13.63/3.77 |
% 13.63/3.77 | Equations (524) can reduce 139 to:
% 13.63/3.77 | (525) ~ (all_0_129_129 = e10)
% 13.63/3.77 |
% 13.63/3.77 | Simplifying 525 yields:
% 13.63/3.77 | (526) ~ (all_0_129_129 = e10)
% 13.63/3.77 |
% 13.63/3.77 +-Applying beta-rule and splitting (140), into two cases.
% 13.63/3.77 |-Branch one:
% 13.63/3.77 | (529) all_0_129_129 = e10
% 13.63/3.77 |
% 13.63/3.77 | Equations (529) can reduce 526 to:
% 13.63/3.77 | (384) $false
% 13.63/3.77 |
% 13.63/3.77 |-The branch is then unsatisfiable
% 13.63/3.77 |-Branch two:
% 13.63/3.77 | (526) ~ (all_0_129_129 = e10)
% 13.63/3.77 | (532) all_0_133_133 = e10
% 13.63/3.77 |
% 13.63/3.77 | Combining equations (532,908) yields a new equation:
% 13.63/3.77 | (1279) all_0_112_112 = e10
% 13.63/3.77 |
% 13.63/3.77 | Equations (532) can reduce 249 to:
% 13.63/3.77 | (749) ~ (e11 = e10)
% 13.63/3.77 |
% 13.63/3.77 | Simplifying 749 yields:
% 13.63/3.77 | (288) ~ (e11 = e10)
% 13.63/3.77 |
% 13.63/3.77 | From (532) and (125) follows:
% 13.63/3.77 | (1282) op1(e10, e10) = all_0_111_111
% 13.63/3.77 |
% 13.63/3.77 +-Applying beta-rule and splitting (345), into two cases.
% 13.63/3.77 |-Branch one:
% 13.63/3.77 | (1042) all_0_135_135 = e11
% 13.63/3.77 |
% 13.63/3.77 | Equations (1042) can reduce 1261 to:
% 13.63/3.77 | (384) $false
% 13.63/3.77 |
% 13.63/3.77 |-The branch is then unsatisfiable
% 13.63/3.77 |-Branch two:
% 13.63/3.77 | (1261) ~ (all_0_135_135 = e11)
% 13.63/3.77 | (1286) all_0_135_135 = e13 | all_0_135_135 = e12
% 13.63/3.77 |
% 13.63/3.77 +-Applying beta-rule and splitting (1286), into two cases.
% 13.63/3.77 |-Branch one:
% 13.63/3.77 | (552) all_0_135_135 = e12
% 13.63/3.77 |
% 13.63/3.77 | Equations (552) can reduce 628 to:
% 13.63/3.77 | (384) $false
% 13.63/3.77 |
% 13.63/3.77 |-The branch is then unsatisfiable
% 13.63/3.77 |-Branch two:
% 13.63/3.77 | (628) ~ (all_0_135_135 = e12)
% 13.63/3.77 | (599) all_0_135_135 = e13
% 13.63/3.77 |
% 13.63/3.77 | Equations (599) can reduce 628 to:
% 13.63/3.77 | (276) ~ (e13 = e12)
% 13.63/3.77 |
% 13.63/3.77 | From (599) and (196) follows:
% 13.63/3.77 | (1292) op1(e10, e13) = all_0_113_113
% 13.63/3.77 |
% 13.63/3.77 | From (599) and (133) follows:
% 13.63/3.77 | (1293) op1(e10, e10) = e13
% 13.63/3.77 |
% 13.63/3.77 | Instantiating formula (311) with e10, e13, e11, all_0_113_113 and discharging atoms op1(e10, e13) = all_0_113_113, op1(e10, e13) = e11, yields:
% 13.63/3.77 | (1294) all_0_113_113 = e11
% 13.63/3.77 |
% 13.63/3.77 | Instantiating formula (311) with e10, e11, all_0_110_110, e12 and discharging atoms op1(e10, e11) = all_0_110_110, op1(e10, e11) = e12, yields:
% 13.63/3.77 | (1295) all_0_110_110 = e12
% 13.63/3.77 |
% 13.63/3.77 | Instantiating formula (311) with e10, e10, e13, all_0_111_111 and discharging atoms op1(e10, e10) = all_0_111_111, op1(e10, e10) = e13, yields:
% 13.63/3.77 | (1296) all_0_111_111 = e13
% 13.63/3.77 |
% 13.63/3.77 +-Applying beta-rule and splitting (136), into two cases.
% 13.63/3.77 |-Branch one:
% 13.63/3.77 | (1198) all_0_112_112 = e11
% 13.63/3.77 |
% 13.63/3.77 | Combining equations (1279,1198) yields a new equation:
% 13.63/3.77 | (728) e11 = e10
% 13.63/3.77 |
% 13.63/3.77 | Equations (728) can reduce 288 to:
% 13.63/3.77 | (384) $false
% 13.63/3.77 |
% 13.63/3.77 |-The branch is then unsatisfiable
% 13.63/3.77 |-Branch two:
% 13.63/3.78 | (1202) ~ (all_0_112_112 = e11)
% 13.63/3.78 | (1203) all_0_110_110 = e13 | all_0_111_111 = e12 | all_0_113_113 = e10
% 13.63/3.78 |
% 13.63/3.78 | Equations (1279) can reduce 1202 to:
% 13.63/3.78 | (749) ~ (e11 = e10)
% 13.63/3.78 |
% 13.63/3.78 | Simplifying 749 yields:
% 13.63/3.78 | (288) ~ (e11 = e10)
% 13.63/3.78 |
% 13.63/3.78 +-Applying beta-rule and splitting (1203), into two cases.
% 13.63/3.78 |-Branch one:
% 13.63/3.78 | (1205) all_0_111_111 = e12
% 13.63/3.78 |
% 13.63/3.78 | Combining equations (1296,1205) yields a new equation:
% 13.63/3.78 | (600) e13 = e12
% 13.63/3.78 |
% 13.63/3.78 | Simplifying 600 yields:
% 13.63/3.78 | (601) e13 = e12
% 13.63/3.78 |
% 13.63/3.78 | Equations (601) can reduce 276 to:
% 13.63/3.78 | (384) $false
% 13.63/3.78 |
% 13.63/3.78 |-The branch is then unsatisfiable
% 13.63/3.78 |-Branch two:
% 13.63/3.78 | (1208) ~ (all_0_111_111 = e12)
% 13.63/3.78 | (1209) all_0_110_110 = e13 | all_0_113_113 = e10
% 13.63/3.78 |
% 13.63/3.78 | Equations (1296) can reduce 1208 to:
% 13.63/3.78 | (276) ~ (e13 = e12)
% 13.63/3.78 |
% 13.63/3.78 +-Applying beta-rule and splitting (1209), into two cases.
% 13.63/3.78 |-Branch one:
% 13.63/3.78 | (1212) all_0_110_110 = e13
% 13.63/3.78 |
% 13.63/3.78 | Combining equations (1295,1212) yields a new equation:
% 13.63/3.78 | (601) e13 = e12
% 13.63/3.78 |
% 13.63/3.78 | Equations (601) can reduce 276 to:
% 13.63/3.78 | (384) $false
% 13.63/3.78 |
% 13.63/3.78 |-The branch is then unsatisfiable
% 13.63/3.78 |-Branch two:
% 13.63/3.78 | (1215) ~ (all_0_110_110 = e13)
% 13.63/3.78 | (1216) all_0_113_113 = e10
% 13.63/3.78 |
% 13.63/3.78 | Combining equations (1294,1216) yields a new equation:
% 13.63/3.78 | (727) e11 = e10
% 13.63/3.78 |
% 13.63/3.78 | Simplifying 727 yields:
% 13.63/3.78 | (728) e11 = e10
% 13.63/3.78 |
% 13.63/3.78 | Equations (728) can reduce 288 to:
% 13.63/3.78 | (384) $false
% 13.63/3.78 |
% 13.63/3.78 |-The branch is then unsatisfiable
% 13.63/3.78 |-Branch two:
% 13.63/3.78 | (608) ~ (all_0_128_128 = e10)
% 13.63/3.78 | (609) all_0_132_132 = e10
% 13.63/3.78 |
% 13.63/3.78 | Combining equations (609,1034) yields a new equation:
% 13.63/3.78 | (728) e11 = e10
% 13.63/3.78 |
% 13.63/3.78 | Equations (728) can reduce 288 to:
% 13.63/3.78 | (384) $false
% 13.63/3.78 |
% 13.63/3.78 |-The branch is then unsatisfiable
% 13.63/3.78 |-Branch two:
% 13.63/3.78 | (464) ~ (all_0_132_132 = e11)
% 13.63/3.78 | (1037) all_0_134_134 = e11 | all_0_135_135 = e11
% 13.63/3.78 |
% 13.63/3.78 +-Applying beta-rule and splitting (1037), into two cases.
% 13.63/3.78 |-Branch one:
% 13.63/3.78 | (453) all_0_134_134 = e11
% 13.63/3.78 |
% 13.63/3.78 | Combining equations (453,586) yields a new equation:
% 13.63/3.78 | (475) e12 = e11
% 13.63/3.78 |
% 13.63/3.78 | Equations (475) can reduce 303 to:
% 13.63/3.78 | (384) $false
% 13.63/3.78 |
% 13.63/3.78 |-The branch is then unsatisfiable
% 13.63/3.78 |-Branch two:
% 13.63/3.78 | (887) ~ (all_0_134_134 = e11)
% 13.63/3.78 | (1042) all_0_135_135 = e11
% 13.63/3.78 |
% 13.63/3.78 | Equations (1042) can reduce 1261 to:
% 13.63/3.78 | (384) $false
% 13.63/3.78 |
% 13.63/3.78 |-The branch is then unsatisfiable
% 13.63/3.78 |-Branch two:
% 13.63/3.78 | (1331) ~ (all_0_121_121 = e23)
% 13.63/3.78 | (934) all_0_121_121 = e20
% 13.63/3.78 |
% 13.63/3.78 | Equations (934) can reduce 1009 to:
% 13.63/3.78 | (384) $false
% 13.63/3.78 |
% 13.63/3.78 |-The branch is then unsatisfiable
% 13.63/3.78 |-Branch two:
% 13.63/3.79 | (956) ~ (all_0_118_118 = e23)
% 13.63/3.79 | (957) all_0_122_122 = e23
% 13.63/3.79 |
% 13.63/3.79 | Combining equations (957,1007) yields a new equation:
% 13.63/3.79 | (953) e23 = e20
% 13.63/3.79 |
% 13.63/3.79 | Simplifying 953 yields:
% 13.63/3.79 | (954) e23 = e20
% 13.63/3.79 |
% 13.63/3.79 | Equations (954) can reduce 254 to:
% 13.63/3.79 | (384) $false
% 13.63/3.79 |
% 13.63/3.79 |-The branch is then unsatisfiable
% 13.63/3.79 |-Branch two:
% 13.63/3.79 | (1339) ~ (all_0_117_117 = e20)
% 13.63/3.79 | (934) all_0_121_121 = e20
% 13.63/3.79 |
% 13.63/3.79 | Equations (934) can reduce 1009 to:
% 13.63/3.79 | (384) $false
% 13.63/3.79 |
% 13.63/3.79 |-The branch is then unsatisfiable
% 13.63/3.79 |-Branch two:
% 13.63/3.79 | (448) ~ (all_0_131_131 = e12)
% 13.63/3.79 | (552) all_0_135_135 = e12
% 13.63/3.79 |
% 13.63/3.79 | Equations (552) can reduce 628 to:
% 13.63/3.79 | (384) $false
% 13.63/3.79 |
% 13.63/3.79 |-The branch is then unsatisfiable
% 13.63/3.79 |-Branch two:
% 13.63/3.79 | (514) ~ (all_0_126_126 = e12)
% 13.63/3.79 | (492) all_0_127_127 = e12
% 13.63/3.79 |
% 13.63/3.79 | Equations (492) can reduce 98 to:
% 13.63/3.79 | (514) ~ (all_0_126_126 = e12)
% 13.63/3.79 |
% 13.63/3.79 | Equations (492) can reduce 24 to:
% 13.63/3.79 | (627) ~ (all_0_135_135 = e12)
% 13.63/3.79 |
% 13.63/3.79 | Simplifying 627 yields:
% 13.63/3.79 | (628) ~ (all_0_135_135 = e12)
% 13.63/3.79 |
% 13.63/3.79 | Equations (492) can reduce 2 to:
% 13.63/3.79 | (158) ~ (e12 = e10)
% 13.63/3.79 |
% 13.63/3.79 | From (492) and (319) follows:
% 13.63/3.79 | (631) op1(e12, e12) = all_0_105_105
% 13.63/3.79 |
% 13.63/3.79 +-Applying beta-rule and splitting (90), into two cases.
% 13.63/3.79 |-Branch one:
% 13.63/3.79 | (486) all_0_126_126 = e12
% 13.63/3.79 |
% 13.63/3.79 | Equations (486) can reduce 514 to:
% 13.63/3.79 | (384) $false
% 13.63/3.79 |
% 13.63/3.79 |-The branch is then unsatisfiable
% 13.63/3.79 |-Branch two:
% 13.63/3.79 | (514) ~ (all_0_126_126 = e12)
% 13.63/3.79 | (612) all_0_126_126 = e13
% 13.63/3.79 |
% 13.63/3.79 | Equations (612) can reduce 191 to:
% 13.63/3.79 | (1052) ~ (all_0_125_125 = e13)
% 13.63/3.79 |
% 13.63/3.79 | Equations (612) can reduce 247 to:
% 13.63/3.79 | (615) ~ (all_0_129_129 = e13)
% 13.63/3.79 |
% 13.63/3.79 | Simplifying 615 yields:
% 13.63/3.79 | (577) ~ (all_0_129_129 = e13)
% 13.63/3.79 |
% 13.63/3.79 | Equations (612) can reduce 265 to:
% 13.63/3.79 | (1359) ~ (all_0_133_133 = e13)
% 13.63/3.79 |
% 13.63/3.79 | Simplifying 1359 yields:
% 13.63/3.79 | (598) ~ (all_0_133_133 = e13)
% 13.63/3.79 |
% 13.63/3.79 | From (612) and (97) follows:
% 13.63/3.79 | (619) op1(e12, e13) = all_0_104_104
% 13.63/3.79 |
% 13.63/3.79 | From (612) and (305) follows:
% 13.63/3.79 | (620) op1(e12, e12) = e13
% 13.63/3.79 |
% 13.63/3.79 +-Applying beta-rule and splitting (304), into two cases.
% 13.63/3.79 |-Branch one:
% 13.63/3.79 | (458) all_0_125_125 = e11
% 13.63/3.79 |
% 13.63/3.79 | Equations (458) can reduce 132 to:
% 13.63/3.79 | (461) ~ (all_0_128_128 = e11)
% 13.63/3.79 |
% 13.63/3.79 | Simplifying 461 yields:
% 13.63/3.79 | (462) ~ (all_0_128_128 = e11)
% 13.63/3.79 |
% 13.63/3.79 | Equations (458) can reduce 1052 to:
% 13.63/3.79 | (903) ~ (e13 = e11)
% 13.63/3.79 |
% 13.63/3.79 | Simplifying 903 yields:
% 13.63/3.79 | (337) ~ (e13 = e11)
% 13.63/3.79 |
% 13.63/3.79 | From (458) and (332) follows:
% 13.63/3.79 | (467) op1(e12, e11) = all_0_103_103
% 14.12/3.79 |
% 14.12/3.79 | From (458) and (49) follows:
% 14.12/3.79 | (468) op1(e12, e13) = e11
% 14.12/3.79 |
% 14.12/3.79 +-Applying beta-rule and splitting (64), into two cases.
% 14.12/3.79 |-Branch one:
% 14.12/3.79 | (632) all_0_129_129 = e12
% 14.12/3.79 |
% 14.12/3.79 | Equations (632) can reduce 314 to:
% 14.12/3.79 | (447) ~ (all_0_131_131 = e12)
% 14.12/3.79 |
% 14.12/3.79 | Simplifying 447 yields:
% 14.12/3.79 | (448) ~ (all_0_131_131 = e12)
% 14.12/3.79 |
% 14.12/3.79 | Equations (632) can reduce 150 to:
% 14.12/3.79 | (489) ~ (all_0_133_133 = e12)
% 14.12/3.79 |
% 14.12/3.79 | Simplifying 489 yields:
% 14.12/3.79 | (490) ~ (all_0_133_133 = e12)
% 14.12/3.79 |
% 14.12/3.79 +-Applying beta-rule and splitting (140), into two cases.
% 14.12/3.79 |-Branch one:
% 14.12/3.79 | (529) all_0_129_129 = e10
% 14.12/3.79 |
% 14.12/3.79 | Combining equations (632,529) yields a new equation:
% 14.12/3.79 | (1217) e12 = e10
% 14.12/3.79 |
% 14.12/3.79 | Simplifying 1217 yields:
% 14.12/3.79 | (563) e12 = e10
% 14.12/3.79 |
% 14.12/3.79 | Equations (563) can reduce 158 to:
% 14.12/3.79 | (384) $false
% 14.12/3.79 |
% 14.12/3.79 |-The branch is then unsatisfiable
% 14.12/3.79 |-Branch two:
% 14.12/3.79 | (526) ~ (all_0_129_129 = e10)
% 14.12/3.79 | (532) all_0_133_133 = e10
% 14.12/3.79 |
% 14.12/3.79 | Equations (532) can reduce 598 to:
% 14.12/3.79 | (734) ~ (e13 = e10)
% 14.12/3.79 |
% 14.12/3.79 | Simplifying 734 yields:
% 14.12/3.79 | (187) ~ (e13 = e10)
% 14.12/3.80 |
% 14.12/3.80 | Equations (532) can reduce 490 to:
% 14.12/3.80 | (567) ~ (e12 = e10)
% 14.12/3.80 |
% 14.12/3.80 | Simplifying 567 yields:
% 14.12/3.80 | (158) ~ (e12 = e10)
% 14.12/3.80 |
% 14.12/3.80 +-Applying beta-rule and splitting (310), into two cases.
% 14.12/3.80 |-Branch one:
% 14.12/3.80 | (524) all_0_128_128 = e10
% 14.12/3.80 |
% 14.12/3.80 | Equations (524) can reduce 144 to:
% 14.12/3.80 | (1386) ~ (all_0_131_131 = e10)
% 14.12/3.80 |
% 14.12/3.80 | Simplifying 1386 yields:
% 14.12/3.80 | (190) ~ (all_0_131_131 = e10)
% 14.12/3.80 |
% 14.12/3.80 +-Applying beta-rule and splitting (285), into two cases.
% 14.12/3.80 |-Branch one:
% 14.12/3.80 | (718) all_0_125_125 = e13
% 14.12/3.80 |
% 14.12/3.80 | Combining equations (458,718) yields a new equation:
% 14.12/3.80 | (557) e13 = e11
% 14.12/3.80 |
% 14.12/3.80 | Equations (557) can reduce 337 to:
% 14.12/3.80 | (384) $false
% 14.12/3.80 |
% 14.12/3.80 |-The branch is then unsatisfiable
% 14.12/3.80 |-Branch two:
% 14.12/3.80 | (1052) ~ (all_0_125_125 = e13)
% 14.12/3.80 | (1146) all_0_128_128 = e13 | all_0_132_132 = e13
% 14.12/3.80 |
% 14.12/3.80 +-Applying beta-rule and splitting (148), into two cases.
% 14.12/3.80 |-Branch one:
% 14.12/3.80 | (536) all_0_128_128 = e13
% 14.12/3.80 |
% 14.12/3.80 | Combining equations (524,536) yields a new equation:
% 14.12/3.80 | (537) e13 = e10
% 14.12/3.80 |
% 14.12/3.80 | Equations (537) can reduce 187 to:
% 14.12/3.80 | (384) $false
% 14.12/3.80 |
% 14.12/3.80 |-The branch is then unsatisfiable
% 14.12/3.80 |-Branch two:
% 14.12/3.80 | (539) ~ (all_0_128_128 = e13)
% 14.12/3.80 | (540) all_0_129_129 = e13 | all_0_131_131 = e13
% 14.12/3.80 |
% 14.12/3.80 | Equations (524) can reduce 539 to:
% 14.12/3.80 | (734) ~ (e13 = e10)
% 14.12/3.80 |
% 14.12/3.80 | Simplifying 734 yields:
% 14.12/3.80 | (187) ~ (e13 = e10)
% 14.12/3.80 |
% 14.12/3.80 +-Applying beta-rule and splitting (1146), into two cases.
% 14.12/3.80 |-Branch one:
% 14.12/3.80 | (536) all_0_128_128 = e13
% 14.12/3.80 |
% 14.12/3.80 | Combining equations (524,536) yields a new equation:
% 14.12/3.80 | (537) e13 = e10
% 14.12/3.80 |
% 14.12/3.80 | Equations (537) can reduce 187 to:
% 14.12/3.80 | (384) $false
% 14.12/3.80 |
% 14.12/3.80 |-The branch is then unsatisfiable
% 14.12/3.80 |-Branch two:
% 14.12/3.80 | (539) ~ (all_0_128_128 = e13)
% 14.12/3.80 | (541) all_0_132_132 = e13
% 14.12/3.80 |
% 14.12/3.80 | Equations (541) can reduce 268 to:
% 14.12/3.80 | (508) ~ (all_0_135_135 = e13)
% 14.12/3.80 |
% 14.12/3.80 | Simplifying 508 yields:
% 14.12/3.80 | (509) ~ (all_0_135_135 = e13)
% 14.12/3.80 |
% 14.12/3.80 | Equations (541) can reduce 84 to:
% 14.12/3.80 | (276) ~ (e13 = e12)
% 14.12/3.80 |
% 14.12/3.80 +-Applying beta-rule and splitting (251), into two cases.
% 14.12/3.80 |-Branch one:
% 14.12/3.80 | (507) all_0_127_127 = e13
% 14.12/3.80 |
% 14.12/3.80 | Combining equations (492,507) yields a new equation:
% 14.12/3.80 | (601) e13 = e12
% 14.12/3.80 |
% 14.12/3.80 | Equations (601) can reduce 276 to:
% 14.12/3.80 | (384) $false
% 14.12/3.80 |
% 14.12/3.80 |-The branch is then unsatisfiable
% 14.12/3.80 |-Branch two:
% 14.12/3.80 | (614) ~ (all_0_127_127 = e13)
% 14.12/3.80 | (640) all_0_131_131 = e13 | all_0_135_135 = e13
% 14.12/3.80 |
% 14.12/3.80 +-Applying beta-rule and splitting (640), into two cases.
% 14.12/3.80 |-Branch one:
% 14.12/3.80 | (578) all_0_131_131 = e13
% 14.12/3.80 |
% 14.12/3.80 | Equations (578) can reduce 448 to:
% 14.12/3.80 | (276) ~ (e13 = e12)
% 14.12/3.80 |
% 14.12/3.80 | Equations (578) can reduce 190 to:
% 14.12/3.80 | (187) ~ (e13 = e10)
% 14.12/3.80 |
% 14.12/3.80 +-Applying beta-rule and splitting (345), into two cases.
% 14.12/3.80 |-Branch one:
% 14.12/3.80 | (1042) all_0_135_135 = e11
% 14.12/3.80 |
% 14.12/3.80 | Equations (1042) can reduce 628 to:
% 14.12/3.80 | (455) ~ (e12 = e11)
% 14.12/3.80 |
% 14.12/3.80 | Simplifying 455 yields:
% 14.12/3.80 | (303) ~ (e12 = e11)
% 14.12/3.80 |
% 14.12/3.80 | Instantiating formula (311) with e12, e13, e11, all_0_104_104 and discharging atoms op1(e12, e13) = all_0_104_104, op1(e12, e13) = e11, yields:
% 14.12/3.80 | (678) all_0_104_104 = e11
% 14.12/3.80 |
% 14.12/3.80 | Instantiating formula (311) with e12, e12, e13, all_0_105_105 and discharging atoms op1(e12, e12) = all_0_105_105, op1(e12, e12) = e13, yields:
% 14.12/3.80 | (679) all_0_105_105 = e13
% 14.12/3.80 |
% 14.12/3.80 | Instantiating formula (311) with e12, e11, all_0_103_103, e10 and discharging atoms op1(e12, e11) = all_0_103_103, op1(e12, e11) = e10, yields:
% 14.12/3.80 | (484) all_0_103_103 = e10
% 14.12/3.80 |
% 14.12/3.80 +-Applying beta-rule and splitting (96), into two cases.
% 14.12/3.80 |-Branch one:
% 14.12/3.80 | (500) all_0_127_127 = e11
% 14.12/3.80 |
% 14.12/3.80 | Combining equations (492,500) yields a new equation:
% 14.12/3.80 | (474) e12 = e11
% 14.12/3.80 |
% 14.12/3.80 | Simplifying 474 yields:
% 14.12/3.80 | (475) e12 = e11
% 14.12/3.80 |
% 14.12/3.80 | Equations (475) can reduce 303 to:
% 14.12/3.80 | (384) $false
% 14.12/3.80 |
% 14.12/3.80 |-The branch is then unsatisfiable
% 14.12/3.80 |-Branch two:
% 14.12/3.80 | (479) ~ (all_0_127_127 = e11)
% 14.12/3.80 | (685) all_0_103_103 = e13 | all_0_104_104 = e12 | all_0_105_105 = e10
% 14.12/3.80 |
% 14.12/3.80 | Equations (492) can reduce 479 to:
% 14.12/3.80 | (303) ~ (e12 = e11)
% 14.12/3.80 |
% 14.12/3.80 +-Applying beta-rule and splitting (685), into two cases.
% 14.12/3.80 |-Branch one:
% 14.12/3.80 | (687) all_0_104_104 = e12
% 14.12/3.80 |
% 14.12/3.80 | Combining equations (678,687) yields a new equation:
% 14.12/3.80 | (475) e12 = e11
% 14.12/3.80 |
% 14.12/3.80 | Equations (475) can reduce 303 to:
% 14.12/3.80 | (384) $false
% 14.12/3.80 |
% 14.12/3.80 |-The branch is then unsatisfiable
% 14.12/3.80 |-Branch two:
% 14.12/3.80 | (691) ~ (all_0_104_104 = e12)
% 14.12/3.80 | (692) all_0_103_103 = e13 | all_0_105_105 = e10
% 14.12/3.80 |
% 14.12/3.80 +-Applying beta-rule and splitting (692), into two cases.
% 14.12/3.80 |-Branch one:
% 14.12/3.80 | (693) all_0_103_103 = e13
% 14.12/3.80 |
% 14.12/3.80 | Combining equations (484,693) yields a new equation:
% 14.12/3.80 | (537) e13 = e10
% 14.12/3.80 |
% 14.12/3.80 | Equations (537) can reduce 187 to:
% 14.12/3.80 | (384) $false
% 14.12/3.80 |
% 14.12/3.80 |-The branch is then unsatisfiable
% 14.12/3.80 |-Branch two:
% 14.12/3.80 | (697) ~ (all_0_103_103 = e13)
% 14.12/3.80 | (698) all_0_105_105 = e10
% 14.12/3.80 |
% 14.12/3.80 | Combining equations (679,698) yields a new equation:
% 14.12/3.80 | (595) e13 = e10
% 14.12/3.80 |
% 14.12/3.80 | Simplifying 595 yields:
% 14.12/3.80 | (537) e13 = e10
% 14.12/3.80 |
% 14.12/3.80 | Equations (537) can reduce 187 to:
% 14.12/3.80 | (384) $false
% 14.12/3.80 |
% 14.12/3.80 |-The branch is then unsatisfiable
% 14.12/3.80 |-Branch two:
% 14.12/3.80 | (1261) ~ (all_0_135_135 = e11)
% 14.12/3.80 | (1286) all_0_135_135 = e13 | all_0_135_135 = e12
% 14.12/3.81 |
% 14.12/3.81 +-Applying beta-rule and splitting (135), into two cases.
% 14.12/3.81 |-Branch one:
% 14.12/3.81 | (486) all_0_126_126 = e12
% 14.12/3.81 |
% 14.12/3.81 | Combining equations (612,486) yields a new equation:
% 14.12/3.81 | (600) e13 = e12
% 14.12/3.81 |
% 14.12/3.81 | Simplifying 600 yields:
% 14.12/3.81 | (601) e13 = e12
% 14.12/3.81 |
% 14.12/3.81 | Equations (601) can reduce 276 to:
% 14.12/3.81 | (384) $false
% 14.12/3.81 |
% 14.12/3.81 |-The branch is then unsatisfiable
% 14.12/3.81 |-Branch two:
% 14.12/3.81 | (514) ~ (all_0_126_126 = e12)
% 14.12/3.81 | (1449) (all_0_126_126 = e13 & all_0_132_132 = e10) | (all_0_128_128 = e13 & all_0_135_135 = e11) | (all_0_130_130 = e11 & all_0_135_135 = e11)
% 14.12/3.81 |
% 14.12/3.81 +-Applying beta-rule and splitting (1449), into two cases.
% 14.12/3.81 |-Branch one:
% 14.12/3.81 | (1450) (all_0_126_126 = e13 & all_0_132_132 = e10) | (all_0_128_128 = e13 & all_0_135_135 = e11)
% 14.12/3.81 |
% 14.12/3.81 +-Applying beta-rule and splitting (1450), into two cases.
% 14.12/3.81 |-Branch one:
% 14.12/3.81 | (1451) all_0_126_126 = e13 & all_0_132_132 = e10
% 14.12/3.81 |
% 14.12/3.81 | Applying alpha-rule on (1451) yields:
% 14.12/3.81 | (612) all_0_126_126 = e13
% 14.12/3.81 | (609) all_0_132_132 = e10
% 14.12/3.81 |
% 14.12/3.81 | Combining equations (609,541) yields a new equation:
% 14.12/3.81 | (537) e13 = e10
% 14.12/3.81 |
% 14.12/3.81 | Equations (537) can reduce 187 to:
% 14.12/3.81 | (384) $false
% 14.12/3.81 |
% 14.12/3.81 |-The branch is then unsatisfiable
% 14.12/3.81 |-Branch two:
% 14.12/3.81 | (1456) all_0_128_128 = e13 & all_0_135_135 = e11
% 14.12/3.81 |
% 14.12/3.81 | Applying alpha-rule on (1456) yields:
% 14.12/3.81 | (536) all_0_128_128 = e13
% 14.12/3.81 | (1042) all_0_135_135 = e11
% 14.12/3.81 |
% 14.12/3.81 | Combining equations (536,524) yields a new equation:
% 14.12/3.81 | (595) e13 = e10
% 14.12/3.81 |
% 14.12/3.81 | Simplifying 595 yields:
% 14.12/3.81 | (537) e13 = e10
% 14.12/3.81 |
% 14.12/3.81 | Equations (537) can reduce 187 to:
% 14.12/3.81 | (384) $false
% 14.12/3.81 |
% 14.12/3.81 |-The branch is then unsatisfiable
% 14.12/3.81 |-Branch two:
% 14.12/3.81 | (1462) all_0_130_130 = e11 & all_0_135_135 = e11
% 14.12/3.81 |
% 14.12/3.81 | Applying alpha-rule on (1462) yields:
% 14.12/3.81 | (473) all_0_130_130 = e11
% 14.12/3.81 | (1042) all_0_135_135 = e11
% 14.12/3.81 |
% 14.12/3.81 | Equations (1042) can reduce 1261 to:
% 14.12/3.81 | (384) $false
% 14.12/3.81 |
% 14.12/3.81 |-The branch is then unsatisfiable
% 14.12/3.81 |-Branch two:
% 14.12/3.81 | (657) ~ (all_0_131_131 = e13)
% 14.12/3.81 | (599) all_0_135_135 = e13
% 14.12/3.81 |
% 14.12/3.81 | Equations (599) can reduce 509 to:
% 14.12/3.81 | (384) $false
% 14.12/3.81 |
% 14.12/3.81 |-The branch is then unsatisfiable
% 14.12/3.81 |-Branch two:
% 14.12/3.81 | (608) ~ (all_0_128_128 = e10)
% 14.12/3.81 | (529) all_0_129_129 = e10
% 14.12/3.81 |
% 14.12/3.81 | Combining equations (632,529) yields a new equation:
% 14.12/3.81 | (1217) e12 = e10
% 14.12/3.81 |
% 14.12/3.81 | Simplifying 1217 yields:
% 14.12/3.81 | (563) e12 = e10
% 14.12/3.81 |
% 14.12/3.81 | Equations (563) can reduce 158 to:
% 14.12/3.81 | (384) $false
% 14.12/3.81 |
% 14.12/3.81 |-The branch is then unsatisfiable
% 14.12/3.81 |-Branch two:
% 14.12/3.81 | (446) ~ (all_0_129_129 = e12)
% 14.12/3.81 | (1475) all_0_130_130 = e12 | all_0_131_131 = e12
% 14.12/3.81 |
% 14.12/3.81 +-Applying beta-rule and splitting (281), into two cases.
% 14.12/3.81 |-Branch one:
% 14.12/3.81 | (632) all_0_129_129 = e12
% 14.12/3.81 |
% 14.12/3.81 | Equations (632) can reduce 446 to:
% 14.12/3.81 | (384) $false
% 14.12/3.81 |
% 14.12/3.81 |-The branch is then unsatisfiable
% 14.12/3.81 |-Branch two:
% 14.12/3.81 | (446) ~ (all_0_129_129 = e12)
% 14.12/3.81 | (635) all_0_129_129 = e13 | all_0_129_129 = e10
% 14.12/3.81 |
% 14.12/3.81 +-Applying beta-rule and splitting (635), into two cases.
% 14.12/3.81 |-Branch one:
% 14.12/3.81 | (543) all_0_129_129 = e13
% 14.12/3.81 |
% 14.12/3.81 | Equations (543) can reduce 577 to:
% 14.12/3.81 | (384) $false
% 14.12/3.81 |
% 14.12/3.81 |-The branch is then unsatisfiable
% 14.12/3.81 |-Branch two:
% 14.12/3.81 | (577) ~ (all_0_129_129 = e13)
% 14.12/3.81 | (529) all_0_129_129 = e10
% 14.12/3.81 |
% 14.12/3.81 | Equations (529) can reduce 139 to:
% 14.12/3.81 | (608) ~ (all_0_128_128 = e10)
% 14.12/3.81 |
% 14.12/3.81 | Equations (529) can reduce 150 to:
% 14.12/3.81 | (732) ~ (all_0_133_133 = e10)
% 14.12/3.81 |
% 14.12/3.81 | Simplifying 732 yields:
% 14.12/3.81 | (515) ~ (all_0_133_133 = e10)
% 14.12/3.81 |
% 14.12/3.81 +-Applying beta-rule and splitting (30), into two cases.
% 14.12/3.81 |-Branch one:
% 14.12/3.81 | (469) all_0_128_128 = e11
% 14.12/3.81 |
% 14.12/3.81 | Equations (469) can reduce 462 to:
% 14.12/3.81 | (384) $false
% 14.12/3.81 |
% 14.12/3.81 |-The branch is then unsatisfiable
% 14.12/3.81 |-Branch two:
% 14.12/3.81 | (462) ~ (all_0_128_128 = e11)
% 14.12/3.81 | (675) all_0_128_128 = e13 | all_0_128_128 = e10
% 14.12/3.81 |
% 14.12/3.81 +-Applying beta-rule and splitting (675), into two cases.
% 14.12/3.81 |-Branch one:
% 14.12/3.81 | (536) all_0_128_128 = e13
% 14.12/3.81 |
% 14.12/3.81 | Equations (536) can reduce 179 to:
% 14.12/3.81 | (276) ~ (e13 = e12)
% 14.12/3.81 |
% 14.12/3.81 +-Applying beta-rule and splitting (171), into two cases.
% 14.12/3.81 |-Branch one:
% 14.12/3.81 | (609) all_0_132_132 = e10
% 14.12/3.81 |
% 14.12/3.81 | Equations (609) can reduce 84 to:
% 14.12/3.81 | (567) ~ (e12 = e10)
% 14.12/3.81 |
% 14.12/3.81 | Simplifying 567 yields:
% 14.12/3.81 | (158) ~ (e12 = e10)
% 14.12/3.81 |
% 14.12/3.81 +-Applying beta-rule and splitting (106), into two cases.
% 14.12/3.81 |-Branch one:
% 14.12/3.81 | (496) all_0_133_133 = e12
% 14.12/3.81 |
% 14.12/3.81 | Equations (496) can reduce 490 to:
% 14.12/3.81 | (384) $false
% 14.12/3.81 |
% 14.12/3.81 |-The branch is then unsatisfiable
% 14.12/3.81 |-Branch two:
% 14.12/3.81 | (490) ~ (all_0_133_133 = e12)
% 14.12/3.81 | (1183) all_0_133_133 = e13 | all_0_133_133 = e10
% 14.12/3.81 |
% 14.12/3.81 +-Applying beta-rule and splitting (19), into two cases.
% 14.12/3.81 |-Branch one:
% 14.12/3.81 | (486) all_0_126_126 = e12
% 14.12/3.81 |
% 14.12/3.81 | Combining equations (612,486) yields a new equation:
% 14.12/3.81 | (600) e13 = e12
% 14.12/3.81 |
% 14.12/3.81 | Simplifying 600 yields:
% 14.12/3.82 | (601) e13 = e12
% 14.12/3.82 |
% 14.12/3.82 | Equations (601) can reduce 276 to:
% 14.12/3.82 | (384) $false
% 14.12/3.82 |
% 14.12/3.82 |-The branch is then unsatisfiable
% 14.12/3.82 |-Branch two:
% 14.12/3.82 | (514) ~ (all_0_126_126 = e12)
% 14.12/3.82 | (665) all_0_129_129 = e12 | all_0_133_133 = e12
% 14.12/3.82 |
% 14.12/3.82 +-Applying beta-rule and splitting (665), into two cases.
% 14.12/3.82 |-Branch one:
% 14.12/3.82 | (632) all_0_129_129 = e12
% 14.12/3.82 |
% 14.12/3.82 | Combining equations (529,632) yields a new equation:
% 14.12/3.82 | (563) e12 = e10
% 14.12/3.82 |
% 14.12/3.82 | Equations (563) can reduce 158 to:
% 14.12/3.82 | (384) $false
% 14.12/3.82 |
% 14.12/3.82 |-The branch is then unsatisfiable
% 14.12/3.82 |-Branch two:
% 14.12/3.82 | (446) ~ (all_0_129_129 = e12)
% 14.12/3.82 | (496) all_0_133_133 = e12
% 14.12/3.82 |
% 14.12/3.82 | Equations (496) can reduce 490 to:
% 14.12/3.82 | (384) $false
% 14.12/3.82 |
% 14.12/3.82 |-The branch is then unsatisfiable
% 14.12/3.82 |-Branch two:
% 14.12/3.82 | (523) ~ (all_0_132_132 = e10)
% 14.12/3.82 | (532) all_0_133_133 = e10
% 14.12/3.82 |
% 14.12/3.82 | Equations (532) can reduce 515 to:
% 14.12/3.82 | (384) $false
% 14.12/3.82 |
% 14.12/3.82 |-The branch is then unsatisfiable
% 14.12/3.82 |-Branch two:
% 14.12/3.82 | (539) ~ (all_0_128_128 = e13)
% 14.12/3.82 | (524) all_0_128_128 = e10
% 14.12/3.82 |
% 14.12/3.82 | Equations (524) can reduce 608 to:
% 14.12/3.82 | (384) $false
% 14.12/3.82 |
% 14.12/3.82 |-The branch is then unsatisfiable
% 14.12/3.82 |-Branch two:
% 14.12/3.82 | (704) ~ (all_0_125_125 = e11)
% 14.12/3.82 | (500) all_0_127_127 = e11
% 14.12/3.82 |
% 14.12/3.82 | Combining equations (500,492) yields a new equation:
% 14.12/3.82 | (475) e12 = e11
% 14.12/3.82 |
% 14.24/3.82 | Equations (475) can reduce 303 to:
% 14.24/3.82 | (384) $false
% 14.24/3.82 |
% 14.24/3.82 |-The branch is then unsatisfiable
% 14.24/3.82 |-Branch two:
% 14.24/3.82 | (477) ~ (all_0_130_130 = e11)
% 14.24/3.82 | (453) all_0_134_134 = e11
% 14.24/3.82 |
% 14.24/3.82 | Combining equations (586,453) yields a new equation:
% 14.24/3.82 | (474) e12 = e11
% 14.24/3.82 |
% 14.24/3.82 | Simplifying 474 yields:
% 14.24/3.82 | (475) e12 = e11
% 14.24/3.82 |
% 14.24/3.82 | Equations (475) can reduce 303 to:
% 14.24/3.82 | (384) $false
% 14.24/3.82 |
% 14.24/3.82 |-The branch is then unsatisfiable
% 14.24/3.82 |-Branch two:
% 14.24/3.82 | (1527) ~ (all_0_120_120 = e22)
% 14.24/3.82 | (1003) all_0_120_120 = e23
% 14.24/3.82 |
% 14.24/3.82 | Equations (1003) can reduce 435 to:
% 14.24/3.82 | (384) $false
% 14.24/3.82 |
% 14.24/3.82 |-The branch is then unsatisfiable
% 14.24/3.82 |-Branch two:
% 14.24/3.82 | (1530) ~ (all_0_115_115 = e22)
% 14.24/3.82 | (429) all_0_115_115 = e23
% 14.24/3.82 |
% 14.24/3.82 | Equations (429) can reduce 200 to:
% 14.24/3.82 | (1532) ~ (all_0_116_116 = e23)
% 14.24/3.82 |
% 14.24/3.82 | Simplifying 1532 yields:
% 14.24/3.82 | (1533) ~ (all_0_116_116 = e23)
% 14.24/3.82 |
% 14.24/3.82 | Equations (429) can reduce 168 to:
% 14.24/3.82 | (1534) ~ (all_0_118_118 = e23)
% 14.24/3.82 |
% 14.24/3.82 | Simplifying 1534 yields:
% 14.24/3.82 | (956) ~ (all_0_118_118 = e23)
% 14.24/3.82 |
% 14.24/3.82 | Equations (429) can reduce 95 to:
% 14.24/3.82 | (1536) ~ (all_0_122_122 = e23)
% 14.24/3.82 |
% 14.24/3.82 | Simplifying 1536 yields:
% 14.24/3.82 | (1537) ~ (all_0_122_122 = e23)
% 14.24/3.82 |
% 14.24/3.82 | Equations (429) can reduce 1530 to:
% 14.24/3.82 | (22) ~ (e23 = e22)
% 14.24/3.82 |
% 14.24/3.82 | Equations (429) can reduce 143 to:
% 14.24/3.82 | (254) ~ (e23 = e20)
% 14.24/3.82 |
% 14.24/3.82 | From (429) and (79) follows:
% 14.24/3.82 | (1540) op2(e22, e23) = all_0_93_93
% 14.24/3.82 |
% 14.24/3.82 | From (429) and (116) follows:
% 14.24/3.82 | (1541) op2(e22, e22) = e23
% 14.24/3.82 |
% 14.24/3.82 +-Applying beta-rule and splitting (115), into two cases.
% 14.24/3.82 |-Branch one:
% 14.24/3.82 | (421) all_0_115_115 = e22
% 14.24/3.82 |
% 14.24/3.82 | Combining equations (429,421) yields a new equation:
% 14.24/3.82 | (1543) e23 = e22
% 14.24/3.82 |
% 14.24/3.82 | Simplifying 1543 yields:
% 14.24/3.82 | (430) e23 = e22
% 14.24/3.82 |
% 14.24/3.82 | Equations (430) can reduce 22 to:
% 14.24/3.82 | (384) $false
% 14.24/3.82 |
% 14.24/3.82 |-The branch is then unsatisfiable
% 14.24/3.82 |-Branch two:
% 14.24/3.82 | (1530) ~ (all_0_115_115 = e22)
% 14.24/3.83 | (1547) all_0_116_116 = e22
% 14.24/3.83 |
% 14.24/3.83 | Equations (1547) can reduce 1533 to:
% 14.24/3.83 | (388) ~ (e23 = e22)
% 14.24/3.83 |
% 14.24/3.83 | Simplifying 388 yields:
% 14.24/3.83 | (22) ~ (e23 = e22)
% 14.24/3.83 |
% 14.24/3.83 | Equations (1547) can reduce 278 to:
% 14.24/3.83 | (112) ~ (e22 = e20)
% 14.24/3.83 |
% 14.24/3.83 | From (1547) and (272) follows:
% 14.24/3.83 | (1551) op2(e22, e22) = all_0_94_94
% 14.24/3.83 |
% 14.24/3.83 +-Applying beta-rule and splitting (201), into two cases.
% 14.24/3.83 |-Branch one:
% 14.24/3.83 | (437) all_0_120_120 = e21
% 14.24/3.83 |
% 14.24/3.83 | Equations (437) can reduce 402 to:
% 14.24/3.83 | (384) $false
% 14.24/3.83 |
% 14.24/3.83 |-The branch is then unsatisfiable
% 14.24/3.83 |-Branch two:
% 14.24/3.83 | (402) ~ (all_0_120_120 = e21)
% 14.24/3.83 | (440) all_0_120_120 = e23 | all_0_120_120 = e22
% 14.24/3.83 |
% 14.24/3.83 +-Applying beta-rule and splitting (81), into two cases.
% 14.24/3.83 |-Branch one:
% 14.24/3.83 | (421) all_0_115_115 = e22
% 14.24/3.83 |
% 14.24/3.83 | Combining equations (429,421) yields a new equation:
% 14.24/3.83 | (1543) e23 = e22
% 14.24/3.83 |
% 14.24/3.83 | Simplifying 1543 yields:
% 14.24/3.83 | (430) e23 = e22
% 14.24/3.83 |
% 14.24/3.83 | Equations (430) can reduce 22 to:
% 14.24/3.83 | (384) $false
% 14.24/3.83 |
% 14.24/3.83 |-The branch is then unsatisfiable
% 14.24/3.83 |-Branch two:
% 14.24/3.83 | (1530) ~ (all_0_115_115 = e22)
% 14.24/3.83 | (1561) all_0_118_118 = e22 | all_0_122_122 = e22
% 14.24/3.83 |
% 14.24/3.83 +-Applying beta-rule and splitting (1561), into two cases.
% 14.24/3.83 |-Branch one:
% 14.24/3.83 | (1562) all_0_118_118 = e22
% 14.24/3.83 |
% 14.24/3.83 | Equations (1562) can reduce 956 to:
% 14.24/3.83 | (388) ~ (e23 = e22)
% 14.24/3.83 |
% 14.24/3.83 | Simplifying 388 yields:
% 14.24/3.83 | (22) ~ (e23 = e22)
% 14.24/3.83 |
% 14.24/3.83 | Equations (1562) can reduce 137 to:
% 14.24/3.83 | (229) ~ (e22 = e21)
% 14.24/3.83 |
% 14.24/3.83 | From (1562)(1562) and (415) follows:
% 14.24/3.83 | (1566) op2(e22, e22) = all_0_87_87
% 14.24/3.83 |
% 14.24/3.83 | From (1562) and (416) follows:
% 14.24/3.83 | (1567) op2(e22, e22) = all_0_85_85
% 14.24/3.83 |
% 14.24/3.83 | From (1562) and (418) follows:
% 14.24/3.83 | (1568) op2(e22, e22) = all_0_79_79
% 14.24/3.83 |
% 14.24/3.83 +-Applying beta-rule and splitting (162), into two cases.
% 14.24/3.83 |-Branch one:
% 14.24/3.83 | (1012) all_0_117_117 = e20
% 14.24/3.83 |
% 14.24/3.83 | Equations (1012) can reduce 267 to:
% 14.24/3.83 | (1013) ~ (all_0_121_121 = e20)
% 14.24/3.83 |
% 14.24/3.83 | Simplifying 1013 yields:
% 14.24/3.83 | (1009) ~ (all_0_121_121 = e20)
% 14.24/3.83 |
% 14.24/3.83 +-Applying beta-rule and splitting (121), into two cases.
% 14.24/3.83 |-Branch one:
% 14.24/3.83 | (962) all_0_117_117 = e23
% 14.24/3.83 |
% 14.24/3.83 | Combining equations (1012,962) yields a new equation:
% 14.24/3.83 | (954) e23 = e20
% 14.24/3.83 |
% 14.24/3.83 | Equations (954) can reduce 254 to:
% 14.24/3.83 | (384) $false
% 14.24/3.83 |
% 14.24/3.83 |-The branch is then unsatisfiable
% 14.24/3.83 |-Branch two:
% 14.24/3.83 | (997) ~ (all_0_117_117 = e23)
% 14.24/3.83 | (998) all_0_118_118 = e23 | all_0_120_120 = e23
% 14.24/3.83 |
% 14.24/3.83 +-Applying beta-rule and splitting (998), into two cases.
% 14.24/3.83 |-Branch one:
% 14.24/3.83 | (952) all_0_118_118 = e23
% 14.24/3.83 |
% 14.24/3.83 | Combining equations (952,1562) yields a new equation:
% 14.24/3.83 | (1543) e23 = e22
% 14.24/3.83 |
% 14.24/3.83 | Simplifying 1543 yields:
% 14.24/3.83 | (430) e23 = e22
% 14.24/3.83 |
% 14.24/3.83 | Equations (430) can reduce 22 to:
% 14.24/3.83 | (384) $false
% 14.24/3.83 |
% 14.24/3.83 |-The branch is then unsatisfiable
% 14.24/3.83 |-Branch two:
% 14.24/3.83 | (956) ~ (all_0_118_118 = e23)
% 14.24/3.83 | (1003) all_0_120_120 = e23
% 14.24/3.83 |
% 14.24/3.83 | Equations (1003) can reduce 402 to:
% 14.24/3.83 | (270) ~ (e23 = e21)
% 14.24/3.83 |
% 14.24/3.83 +-Applying beta-rule and splitting (56), into two cases.
% 14.24/3.83 |-Branch one:
% 14.24/3.83 | (934) all_0_121_121 = e20
% 14.24/3.83 |
% 14.24/3.83 | Equations (934) can reduce 1009 to:
% 14.24/3.83 | (384) $false
% 14.24/3.83 |
% 14.24/3.83 |-The branch is then unsatisfiable
% 14.24/3.83 |-Branch two:
% 14.24/3.83 | (1009) ~ (all_0_121_121 = e20)
% 14.24/3.83 | (1007) all_0_122_122 = e20
% 14.24/3.83 |
% 14.24/3.83 | Equations (1007) can reduce 86 to:
% 14.24/3.83 | (1009) ~ (all_0_121_121 = e20)
% 14.24/3.83 |
% 14.24/3.84 | Equations (1007) can reduce 1537 to:
% 14.24/3.84 | (1589) ~ (e23 = e20)
% 14.24/3.84 |
% 14.24/3.84 | Simplifying 1589 yields:
% 14.24/3.84 | (254) ~ (e23 = e20)
% 14.24/3.84 |
% 14.24/3.84 +-Applying beta-rule and splitting (85), into two cases.
% 14.24/3.84 |-Branch one:
% 14.24/3.84 | (1025) all_0_121_121 = e23
% 14.24/3.84 |
% 14.24/3.84 | Equations (1025) can reduce 1009 to:
% 14.24/3.84 | (254) ~ (e23 = e20)
% 14.24/3.84 |
% 14.24/3.84 | Instantiating formula (169) with e22, e23, all_0_93_93, e21 and discharging atoms op2(e22, e23) = all_0_93_93, op2(e22, e23) = e21, yields:
% 14.24/3.84 | (1593) all_0_93_93 = e21
% 14.24/3.84 |
% 14.24/3.84 | Instantiating formula (169) with e22, e22, all_0_85_85, all_0_79_79 and discharging atoms op2(e22, e22) = all_0_79_79, op2(e22, e22) = all_0_85_85, yields:
% 14.24/3.84 | (1594) all_0_79_79 = all_0_85_85
% 14.24/3.84 |
% 14.24/3.84 | Instantiating formula (169) with e22, e22, all_0_87_87, all_0_85_85 and discharging atoms op2(e22, e22) = all_0_85_85, op2(e22, e22) = all_0_87_87, yields:
% 14.24/3.84 | (1595) all_0_85_85 = all_0_87_87
% 14.24/3.84 |
% 14.24/3.84 | Instantiating formula (169) with e22, e22, all_0_94_94, all_0_87_87 and discharging atoms op2(e22, e22) = all_0_87_87, op2(e22, e22) = all_0_94_94, yields:
% 14.24/3.84 | (1596) all_0_87_87 = all_0_94_94
% 14.24/3.84 |
% 14.24/3.84 | Instantiating formula (169) with e22, e22, e23, all_0_79_79 and discharging atoms op2(e22, e22) = all_0_79_79, op2(e22, e22) = e23, yields:
% 14.24/3.84 | (1597) all_0_79_79 = e23
% 14.24/3.84 |
% 14.24/3.84 | Combining equations (1594,1597) yields a new equation:
% 14.24/3.84 | (1598) all_0_85_85 = e23
% 14.24/3.84 |
% 14.24/3.84 | Simplifying 1598 yields:
% 14.24/3.84 | (1599) all_0_85_85 = e23
% 14.24/3.84 |
% 14.24/3.84 | Combining equations (1595,1599) yields a new equation:
% 14.24/3.84 | (1600) all_0_87_87 = e23
% 14.24/3.84 |
% 14.24/3.84 | Simplifying 1600 yields:
% 14.24/3.84 | (1601) all_0_87_87 = e23
% 14.24/3.84 |
% 14.24/3.84 | Combining equations (1596,1601) yields a new equation:
% 14.24/3.84 | (1602) all_0_94_94 = e23
% 14.24/3.84 |
% 14.24/3.84 | Simplifying 1602 yields:
% 14.24/3.84 | (1603) all_0_94_94 = e23
% 14.24/3.84 |
% 14.24/3.84 +-Applying beta-rule and splitting (124), into two cases.
% 14.24/3.84 |-Branch one:
% 14.24/3.84 | (1604) all_0_116_116 = e21
% 14.24/3.84 |
% 14.24/3.84 | Combining equations (1604,1547) yields a new equation:
% 14.24/3.84 | (398) e22 = e21
% 14.24/3.84 |
% 14.24/3.84 | Equations (398) can reduce 229 to:
% 14.24/3.84 | (384) $false
% 14.24/3.84 |
% 14.24/3.84 |-The branch is then unsatisfiable
% 14.24/3.84 |-Branch two:
% 14.24/3.84 | (1607) ~ (all_0_116_116 = e21)
% 14.24/3.84 | (1608) all_0_92_92 = e23 | all_0_93_93 = e22 | all_0_94_94 = e20
% 14.24/3.84 |
% 14.24/3.84 | Equations (1547) can reduce 1607 to:
% 14.24/3.84 | (229) ~ (e22 = e21)
% 14.24/3.84 |
% 14.24/3.84 +-Applying beta-rule and splitting (1608), into two cases.
% 14.24/3.84 |-Branch one:
% 14.24/3.84 | (1610) all_0_93_93 = e22
% 14.24/3.84 |
% 14.24/3.84 | Combining equations (1593,1610) yields a new equation:
% 14.24/3.84 | (398) e22 = e21
% 14.24/3.84 |
% 14.24/3.84 | Equations (398) can reduce 229 to:
% 14.24/3.84 | (384) $false
% 14.24/3.84 |
% 14.24/3.84 |-The branch is then unsatisfiable
% 14.24/3.84 |-Branch two:
% 14.24/3.84 | (1613) ~ (all_0_93_93 = e22)
% 14.24/3.84 | (1614) all_0_92_92 = e23 | all_0_94_94 = e20
% 14.24/3.84 |
% 14.35/3.84 +-Applying beta-rule and splitting (1614), into two cases.
% 14.35/3.84 |-Branch one:
% 14.35/3.84 | (1615) all_0_92_92 = e23
% 14.35/3.84 |
% 14.35/3.84 | Combining equations (375,1615) yields a new equation:
% 14.35/3.84 | (954) e23 = e20
% 14.35/3.84 |
% 14.35/3.84 | Equations (954) can reduce 254 to:
% 14.35/3.84 | (384) $false
% 14.35/3.84 |
% 14.35/3.84 |-The branch is then unsatisfiable
% 14.35/3.84 |-Branch two:
% 14.35/3.85 | (1618) ~ (all_0_92_92 = e23)
% 14.35/3.85 | (1619) all_0_94_94 = e20
% 14.35/3.85 |
% 14.35/3.85 | Combining equations (1603,1619) yields a new equation:
% 14.35/3.85 | (953) e23 = e20
% 14.35/3.85 |
% 14.35/3.85 | Simplifying 953 yields:
% 14.35/3.85 | (954) e23 = e20
% 14.35/3.85 |
% 14.35/3.85 | Equations (954) can reduce 254 to:
% 14.35/3.85 | (384) $false
% 14.35/3.85 |
% 14.35/3.85 |-The branch is then unsatisfiable
% 14.35/3.85 |-Branch two:
% 14.35/3.85 | (1331) ~ (all_0_121_121 = e23)
% 14.35/3.85 | (1624) all_0_122_122 = e23 | all_0_124_124 = e23
% 14.35/3.85 |
% 14.35/3.85 +-Applying beta-rule and splitting (1624), into two cases.
% 14.35/3.85 |-Branch one:
% 14.35/3.85 | (957) all_0_122_122 = e23
% 14.35/3.85 |
% 14.35/3.85 | Combining equations (1007,957) yields a new equation:
% 14.35/3.85 | (954) e23 = e20
% 14.35/3.85 |
% 14.35/3.85 | Equations (954) can reduce 254 to:
% 14.35/3.85 | (384) $false
% 14.35/3.85 |
% 14.35/3.85 |-The branch is then unsatisfiable
% 14.35/3.85 |-Branch two:
% 14.35/3.85 | (1537) ~ (all_0_122_122 = e23)
% 14.35/3.85 | (1629) all_0_124_124 = e23
% 14.35/3.85 |
% 14.35/3.85 | Combining equations (1629,401) yields a new equation:
% 14.35/3.85 | (976) e23 = e21
% 14.35/3.85 |
% 14.35/3.85 | Simplifying 976 yields:
% 14.35/3.85 | (425) e23 = e21
% 14.35/3.85 |
% 14.35/3.85 | Equations (425) can reduce 270 to:
% 14.35/3.85 | (384) $false
% 14.35/3.85 |
% 14.35/3.85 |-The branch is then unsatisfiable
% 14.35/3.85 |-Branch two:
% 14.35/3.85 | (1339) ~ (all_0_117_117 = e20)
% 14.35/3.85 | (939) all_0_118_118 = e20
% 14.35/3.85 |
% 14.35/3.85 | Combining equations (939,1562) yields a new equation:
% 14.35/3.85 | (983) e22 = e20
% 14.35/3.85 |
% 14.35/3.85 | Equations (983) can reduce 112 to:
% 14.35/3.85 | (384) $false
% 14.35/3.85 |
% 14.35/3.85 |-The branch is then unsatisfiable
% 14.35/3.85 |-Branch two:
% 14.35/3.85 | (442) ~ (all_0_118_118 = e22)
% 14.35/3.85 | (1638) all_0_122_122 = e22
% 14.35/3.85 |
% 14.35/3.85 | Equations (1638) can reduce 387 to:
% 14.35/3.85 | (384) $false
% 14.35/3.85 |
% 14.35/3.85 |-The branch is then unsatisfiable
% 14.35/3.85 |-Branch two:
% 14.35/3.85 | (1640) ~ (all_0_119_119 = e21)
% 14.35/3.85 | (1641) all_0_119_119 = e22
% 14.35/3.85 |
% 14.35/3.85 | Equations (1641) can reduce 160 to:
% 14.35/3.85 | (331) ~ (all_0_117_117 = e22)
% 14.35/3.85 |
% 14.35/3.85 | Equations (1641) can reduce 184 to:
% 14.35/3.86 | (1643) ~ (all_0_123_123 = e22)
% 14.35/3.86 |
% 14.35/3.86 | Simplifying 1643 yields:
% 14.35/3.86 | (1644) ~ (all_0_123_123 = e22)
% 14.35/3.86 |
% 14.35/3.86 | Equations (1641) can reduce 102 to:
% 14.35/3.86 | (388) ~ (e23 = e22)
% 14.35/3.86 |
% 14.35/3.86 | Simplifying 388 yields:
% 14.35/3.86 | (22) ~ (e23 = e22)
% 14.35/3.86 |
% 14.35/3.86 | From (1641)(1641) and (297) follows:
% 14.35/3.86 | (1647) op2(e22, e22) = all_0_42_42
% 14.35/3.86 |
% 14.35/3.86 | From (1641) and (167) follows:
% 14.35/3.86 | (1648) op2(e21, e22) = all_0_97_97
% 14.35/3.86 |
% 14.35/3.86 | From (1641) and (213) follows:
% 14.35/3.86 | (1649) op2(e21, e21) = e22
% 14.35/3.86 |
% 14.35/3.86 +-Applying beta-rule and splitting (225), into two cases.
% 14.35/3.86 |-Branch one:
% 14.35/3.86 | (383) all_0_123_123 = e21
% 14.35/3.86 |
% 14.35/3.86 | Equations (383) can reduce 11 to:
% 14.35/3.86 | (238) ~ (all_0_122_122 = e21)
% 14.35/3.86 |
% 14.35/3.86 | Equations (383) can reduce 1644 to:
% 14.35/3.86 | (1652) ~ (e22 = e21)
% 14.35/3.86 |
% 14.35/3.86 | Simplifying 1652 yields:
% 14.35/3.86 | (229) ~ (e22 = e21)
% 14.35/3.86 |
% 14.35/3.86 +-Applying beta-rule and splitting (6), into two cases.
% 14.35/3.86 |-Branch one:
% 14.35/3.86 | (1654) all_0_117_117 = e21
% 14.35/3.86 |
% 14.35/3.86 | Equations (1654) can reduce 370 to:
% 14.35/3.86 | (384) $false
% 14.35/3.86 |
% 14.35/3.86 |-The branch is then unsatisfiable
% 14.35/3.86 |-Branch two:
% 14.35/3.86 | (370) ~ (all_0_117_117 = e21)
% 14.35/3.86 | (1657) all_0_119_119 = e21 | all_0_120_120 = e21
% 14.35/3.86 |
% 14.35/3.86 +-Applying beta-rule and splitting (1657), into two cases.
% 14.35/3.86 |-Branch one:
% 14.35/3.86 | (376) all_0_119_119 = e21
% 14.35/3.86 |
% 14.35/3.86 | Combining equations (1641,376) yields a new equation:
% 14.35/3.86 | (1659) e22 = e21
% 14.35/3.86 |
% 14.35/3.86 | Simplifying 1659 yields:
% 14.35/3.86 | (398) e22 = e21
% 14.35/3.86 |
% 14.35/3.86 | Equations (398) can reduce 229 to:
% 14.35/3.86 | (384) $false
% 14.35/3.86 |
% 14.35/3.86 |-The branch is then unsatisfiable
% 14.35/3.86 |-Branch two:
% 14.35/3.86 | (1640) ~ (all_0_119_119 = e21)
% 14.35/3.86 | (437) all_0_120_120 = e21
% 14.35/3.86 |
% 14.35/3.86 | Equations (437) can reduce 253 to:
% 14.35/3.86 | (1607) ~ (all_0_116_116 = e21)
% 14.35/3.86 |
% 14.35/3.86 | Equations (437) can reduce 34 to:
% 14.35/3.86 | (1665) ~ (all_0_124_124 = e21)
% 14.35/3.86 |
% 14.35/3.86 | Simplifying 1665 yields:
% 14.35/3.86 | (1666) ~ (all_0_124_124 = e21)
% 14.35/3.86 |
% 14.35/3.86 | From (437) and (172) follows:
% 14.35/3.86 | (1667) op2(e21, e21) = all_0_98_98
% 14.35/3.86 |
% 14.35/3.86 | From (437) and (9) follows:
% 14.35/3.86 | (1668) op2(e21, e20) = e21
% 14.35/3.86 |
% 14.35/3.86 | Instantiating formula (169) with e22, e22, all_0_42_42, all_0_115_115 and discharging atoms op2(e22, e22) = all_0_42_42, op2(e22, e22) = all_0_115_115, yields:
% 14.35/3.86 | (1669) all_0_42_42 = all_0_115_115
% 14.35/3.86 |
% 14.35/3.86 | Instantiating formula (169) with e21, e22, all_0_97_97, all_0_118_118 and discharging atoms op2(e21, e22) = all_0_97_97, op2(e21, e22) = all_0_118_118, yields:
% 14.35/3.86 | (1670) all_0_97_97 = all_0_118_118
% 14.35/3.86 |
% 14.35/3.86 | Instantiating formula (169) with e21, e21, e22, all_0_98_98 and discharging atoms op2(e21, e21) = all_0_98_98, op2(e21, e21) = e22, yields:
% 14.35/3.86 | (1671) all_0_98_98 = e22
% 14.35/3.86 |
% 14.35/3.86 | From (1669) and (1647) follows:
% 14.35/3.86 | (116) op2(e22, e22) = all_0_115_115
% 14.35/3.86 |
% 14.35/3.86 | From (1670) and (294) follows:
% 14.35/3.86 | (1673) op2(e21, all_0_118_118) = all_0_38_38
% 14.35/3.86 |
% 14.35/3.86 | Instantiating formula (169) with e21, all_0_118_118, all_0_38_38, all_0_96_96 and discharging atoms op2(e21, all_0_118_118) = all_0_38_38, op2(e21, all_0_118_118) = all_0_96_96, yields:
% 14.35/3.86 | (1674) all_0_38_38 = all_0_96_96
% 14.35/3.86 |
% 14.35/3.86 | From (1674) and (1673) follows:
% 14.35/3.86 | (237) op2(e21, all_0_118_118) = all_0_96_96
% 14.35/3.86 |
% 14.35/3.86 +-Applying beta-rule and splitting (330), into two cases.
% 14.35/3.86 |-Branch one:
% 14.35/3.86 | (421) all_0_115_115 = e22
% 14.35/3.86 |
% 14.35/3.86 | Equations (421) can reduce 200 to:
% 14.35/3.86 | (1677) ~ (all_0_116_116 = e22)
% 14.35/3.86 |
% 14.35/3.86 | Simplifying 1677 yields:
% 14.35/3.86 | (1678) ~ (all_0_116_116 = e22)
% 14.35/3.86 |
% 14.35/3.86 | Equations (421) can reduce 95 to:
% 14.35/3.86 | (422) ~ (all_0_122_122 = e22)
% 14.35/3.86 |
% 14.35/3.86 | Simplifying 422 yields:
% 14.35/3.86 | (387) ~ (all_0_122_122 = e22)
% 14.35/3.86 |
% 14.35/3.86 | Equations (421) can reduce 259 to:
% 14.35/3.86 | (229) ~ (e22 = e21)
% 14.35/3.86 |
% 14.35/3.86 +-Applying beta-rule and splitting (89), into two cases.
% 14.35/3.86 |-Branch one:
% 14.35/3.86 | (1682) ( ~ (all_0_115_115 = e22) & ~ (all_0_122_122 = e20)) | ( ~ (all_0_116_116 = e22) & ~ (all_0_120_120 = e21))
% 14.35/3.86 |
% 14.35/3.86 +-Applying beta-rule and splitting (1682), into two cases.
% 14.35/3.86 |-Branch one:
% 14.35/3.86 | (1683) ~ (all_0_115_115 = e22) & ~ (all_0_122_122 = e20)
% 14.35/3.86 |
% 14.35/3.86 | Applying alpha-rule on (1683) yields:
% 14.35/3.86 | (1530) ~ (all_0_115_115 = e22)
% 14.35/3.86 | (936) ~ (all_0_122_122 = e20)
% 14.35/3.86 |
% 14.35/3.86 | Equations (421) can reduce 1530 to:
% 14.35/3.86 | (384) $false
% 14.35/3.86 |
% 14.35/3.86 |-The branch is then unsatisfiable
% 14.35/3.86 |-Branch two:
% 14.35/3.86 | (1687) ~ (all_0_116_116 = e22) & ~ (all_0_120_120 = e21)
% 14.35/3.86 |
% 14.35/3.87 | Applying alpha-rule on (1687) yields:
% 14.35/3.87 | (1678) ~ (all_0_116_116 = e22)
% 14.35/3.87 | (402) ~ (all_0_120_120 = e21)
% 14.35/3.87 |
% 14.35/3.87 | Equations (437) can reduce 402 to:
% 14.35/3.87 | (384) $false
% 14.35/3.87 |
% 14.35/3.87 |-The branch is then unsatisfiable
% 14.35/3.87 |-Branch two:
% 14.35/3.87 | (1691) ~ (all_0_117_117 = e21) & ~ (all_0_121_121 = e20)
% 14.35/3.87 |
% 14.35/3.87 | Applying alpha-rule on (1691) yields:
% 14.35/3.87 | (370) ~ (all_0_117_117 = e21)
% 14.35/3.87 | (1009) ~ (all_0_121_121 = e20)
% 14.35/3.87 |
% 14.35/3.87 +-Applying beta-rule and splitting (340), into two cases.
% 14.35/3.87 |-Branch one:
% 14.35/3.87 | (1012) all_0_117_117 = e20
% 14.35/3.87 |
% 14.35/3.87 | Equations (1012) can reduce 306 to:
% 14.35/3.87 | (1695) ~ (all_0_118_118 = e20)
% 14.35/3.87 |
% 14.35/3.87 | Simplifying 1695 yields:
% 14.35/3.87 | (1006) ~ (all_0_118_118 = e20)
% 14.35/3.87 |
% 14.35/3.87 | From (1012) and (280) follows:
% 14.35/3.87 | (1697) op2(e21, e20) = all_0_95_95
% 14.35/3.87 |
% 14.35/3.87 | From (1012) and (260) follows:
% 14.35/3.87 | (1698) op2(e21, e23) = e20
% 14.35/3.87 |
% 14.35/3.87 +-Applying beta-rule and splitting (117), into two cases.
% 14.35/3.87 |-Branch one:
% 14.35/3.87 | (939) all_0_118_118 = e20
% 14.35/3.87 |
% 14.35/3.87 | Equations (939) can reduce 1006 to:
% 14.35/3.87 | (384) $false
% 14.35/3.87 |
% 14.35/3.87 |-The branch is then unsatisfiable
% 14.35/3.87 |-Branch two:
% 14.35/3.87 | (1006) ~ (all_0_118_118 = e20)
% 14.35/3.87 | (1007) all_0_122_122 = e20
% 14.35/3.87 |
% 14.35/3.87 | Equations (1007) can reduce 3 to:
% 14.35/3.87 | (1703) ~ (all_0_124_124 = e20)
% 14.35/3.87 |
% 14.35/3.87 | Simplifying 1703 yields:
% 14.35/3.87 | (256) ~ (all_0_124_124 = e20)
% 14.35/3.87 |
% 14.35/3.87 | Equations (1007) can reduce 387 to:
% 14.35/3.87 | (942) ~ (e22 = e20)
% 14.35/3.87 |
% 14.35/3.87 | Simplifying 942 yields:
% 14.35/3.87 | (112) ~ (e22 = e20)
% 14.35/3.87 |
% 14.35/3.87 +-Applying beta-rule and splitting (68), into two cases.
% 14.35/3.87 |-Branch one:
% 14.35/3.87 | (429) all_0_115_115 = e23
% 14.35/3.87 |
% 14.35/3.87 | Combining equations (421,429) yields a new equation:
% 14.35/3.87 | (430) e23 = e22
% 14.35/3.87 |
% 14.35/3.87 | Equations (430) can reduce 22 to:
% 14.35/3.87 | (384) $false
% 14.35/3.87 |
% 14.35/3.87 |-The branch is then unsatisfiable
% 14.35/3.87 |-Branch two:
% 14.35/3.87 | (432) ~ (all_0_115_115 = e23)
% 14.35/3.87 | (951) all_0_118_118 = e23 | all_0_122_122 = e23
% 14.35/3.87 |
% 14.35/3.87 +-Applying beta-rule and splitting (951), into two cases.
% 14.35/3.87 |-Branch one:
% 14.35/3.87 | (952) all_0_118_118 = e23
% 14.35/3.87 |
% 14.35/3.87 | Combining equations (952,1670) yields a new equation:
% 14.35/3.87 | (1713) all_0_97_97 = e23
% 14.35/3.87 |
% 14.35/3.87 | From (952) and (237) follows:
% 14.35/3.87 | (1714) op2(e21, e23) = all_0_96_96
% 14.35/3.87 |
% 14.35/3.87 +-Applying beta-rule and splitting (129), into two cases.
% 14.35/3.87 |-Branch one:
% 14.35/3.87 | (1604) all_0_116_116 = e21
% 14.35/3.87 |
% 14.35/3.87 | Equations (1604) can reduce 1607 to:
% 14.35/3.87 | (384) $false
% 14.35/3.87 |
% 14.35/3.87 |-The branch is then unsatisfiable
% 14.35/3.87 |-Branch two:
% 14.35/3.87 | (1607) ~ (all_0_116_116 = e21)
% 14.35/3.87 | (1718) all_0_116_116 = e23 | all_0_116_116 = e22
% 14.35/3.87 |
% 14.35/3.87 +-Applying beta-rule and splitting (1718), into two cases.
% 14.35/3.87 |-Branch one:
% 14.35/3.87 | (1547) all_0_116_116 = e22
% 14.35/3.87 |
% 14.35/3.87 | Equations (1547) can reduce 1678 to:
% 14.35/3.87 | (384) $false
% 14.35/3.87 |
% 14.35/3.87 |-The branch is then unsatisfiable
% 14.35/3.87 |-Branch two:
% 14.35/3.87 | (1678) ~ (all_0_116_116 = e22)
% 14.35/3.87 | (433) all_0_116_116 = e23
% 14.35/3.87 |
% 14.35/3.87 | Equations (433) can reduce 1607 to:
% 14.35/3.87 | (270) ~ (e23 = e21)
% 14.35/3.87 |
% 14.35/3.87 +-Applying beta-rule and splitting (293), into two cases.
% 14.35/3.87 |-Branch one:
% 14.35/3.87 | (1638) all_0_122_122 = e22
% 14.35/3.87 |
% 14.35/3.87 | Combining equations (1638,1007) yields a new equation:
% 14.35/3.87 | (994) e22 = e20
% 14.35/3.87 |
% 14.35/3.87 | Simplifying 994 yields:
% 14.35/3.87 | (983) e22 = e20
% 14.35/3.87 |
% 14.35/3.87 | Equations (983) can reduce 112 to:
% 14.35/3.87 | (384) $false
% 14.35/3.87 |
% 14.35/3.87 |-The branch is then unsatisfiable
% 14.35/3.87 |-Branch two:
% 14.35/3.87 | (387) ~ (all_0_122_122 = e22)
% 14.35/3.87 | (1729) all_0_123_123 = e22 | all_0_124_124 = e22
% 14.35/3.87 |
% 14.35/3.87 +-Applying beta-rule and splitting (1729), into two cases.
% 14.35/3.87 |-Branch one:
% 14.35/3.87 | (386) all_0_123_123 = e22
% 14.35/3.87 |
% 14.35/3.87 | Combining equations (383,386) yields a new equation:
% 14.35/3.87 | (398) e22 = e21
% 14.35/3.87 |
% 14.35/3.87 | Equations (398) can reduce 229 to:
% 14.35/3.87 | (384) $false
% 14.35/3.87 |
% 14.35/3.87 |-The branch is then unsatisfiable
% 14.35/3.87 |-Branch two:
% 14.35/3.87 | (1644) ~ (all_0_123_123 = e22)
% 14.35/3.87 | (1734) all_0_124_124 = e22
% 14.35/3.87 |
% 14.35/3.87 | Equations (1734) can reduce 256 to:
% 14.35/3.87 | (112) ~ (e22 = e20)
% 14.35/3.87 |
% 14.35/3.87 | Instantiating formula (169) with e21, e23, e20, all_0_96_96 and discharging atoms op2(e21, e23) = all_0_96_96, op2(e21, e23) = e20, yields:
% 14.35/3.87 | (1736) all_0_96_96 = e20
% 14.35/3.87 |
% 14.35/3.87 | Instantiating formula (169) with e21, e20, all_0_95_95, e21 and discharging atoms op2(e21, e20) = all_0_95_95, op2(e21, e20) = e21, yields:
% 14.35/3.87 | (1737) all_0_95_95 = e21
% 14.35/3.87 |
% 14.35/3.87 +-Applying beta-rule and splitting (12), into two cases.
% 14.35/3.87 |-Branch one:
% 14.35/3.87 | (1738) all_0_97_97 = e21
% 14.35/3.87 |
% 14.35/3.88 | Combining equations (1713,1738) yields a new equation:
% 14.35/3.88 | (976) e23 = e21
% 14.35/3.88 |
% 14.35/3.88 | Simplifying 976 yields:
% 14.35/3.88 | (425) e23 = e21
% 14.35/3.88 |
% 14.35/3.88 | Equations (425) can reduce 270 to:
% 14.35/3.88 | (384) $false
% 14.35/3.88 |
% 14.35/3.88 |-The branch is then unsatisfiable
% 14.35/3.88 |-Branch two:
% 14.35/3.88 | (1742) ~ (all_0_97_97 = e21)
% 14.35/3.88 | (1743) all_0_95_95 = e23 | all_0_96_96 = e22 | all_0_98_98 = e20
% 14.35/3.88 |
% 14.35/3.88 | Equations (1713) can reduce 1742 to:
% 14.35/3.88 | (270) ~ (e23 = e21)
% 14.35/3.88 |
% 14.35/3.88 +-Applying beta-rule and splitting (1743), into two cases.
% 14.35/3.88 |-Branch one:
% 14.35/3.88 | (1745) all_0_96_96 = e22
% 14.35/3.88 |
% 14.35/3.88 | Combining equations (1736,1745) yields a new equation:
% 14.35/3.88 | (983) e22 = e20
% 14.35/3.88 |
% 14.35/3.88 | Equations (983) can reduce 112 to:
% 14.35/3.88 | (384) $false
% 14.35/3.88 |
% 14.35/3.88 |-The branch is then unsatisfiable
% 14.35/3.88 |-Branch two:
% 14.35/3.88 | (1748) ~ (all_0_96_96 = e22)
% 14.35/3.88 | (1749) all_0_95_95 = e23 | all_0_98_98 = e20
% 14.35/3.88 |
% 14.35/3.88 | Equations (1736) can reduce 1748 to:
% 14.35/3.88 | (942) ~ (e22 = e20)
% 14.35/3.88 |
% 14.35/3.88 | Simplifying 942 yields:
% 14.35/3.88 | (112) ~ (e22 = e20)
% 14.35/3.88 |
% 14.35/3.88 +-Applying beta-rule and splitting (1749), into two cases.
% 14.35/3.88 |-Branch one:
% 14.35/3.88 | (1752) all_0_95_95 = e23
% 14.35/3.88 |
% 14.35/3.88 | Combining equations (1737,1752) yields a new equation:
% 14.35/3.88 | (425) e23 = e21
% 14.35/3.88 |
% 14.35/3.88 | Equations (425) can reduce 270 to:
% 14.35/3.88 | (384) $false
% 14.35/3.88 |
% 14.35/3.88 |-The branch is then unsatisfiable
% 14.35/3.88 |-Branch two:
% 14.35/3.88 | (1755) ~ (all_0_95_95 = e23)
% 14.35/3.88 | (1756) all_0_98_98 = e20
% 14.35/3.88 |
% 14.35/3.88 | Combining equations (1671,1756) yields a new equation:
% 14.35/3.88 | (994) e22 = e20
% 14.35/3.88 |
% 14.35/3.88 | Simplifying 994 yields:
% 14.35/3.88 | (983) e22 = e20
% 14.35/3.88 |
% 14.35/3.88 | Equations (983) can reduce 112 to:
% 14.35/3.88 | (384) $false
% 14.35/3.88 |
% 14.35/3.88 |-The branch is then unsatisfiable
% 14.35/3.88 |-Branch two:
% 14.35/3.88 | (956) ~ (all_0_118_118 = e23)
% 14.35/3.88 | (957) all_0_122_122 = e23
% 14.35/3.88 |
% 14.35/3.88 | Combining equations (1007,957) yields a new equation:
% 14.35/3.88 | (954) e23 = e20
% 14.35/3.88 |
% 14.35/3.88 | Equations (954) can reduce 254 to:
% 14.35/3.88 | (384) $false
% 14.35/3.88 |
% 14.35/3.88 |-The branch is then unsatisfiable
% 14.35/3.88 |-Branch two:
% 14.35/3.88 | (1339) ~ (all_0_117_117 = e20)
% 14.35/3.88 | (934) all_0_121_121 = e20
% 14.35/3.88 |
% 14.35/3.88 | Equations (934) can reduce 1009 to:
% 14.35/3.88 | (384) $false
% 14.35/3.88 |
% 14.35/3.88 |-The branch is then unsatisfiable
% 14.35/3.88 |-Branch two:
% 14.35/3.88 | (1530) ~ (all_0_115_115 = e22)
% 14.35/3.88 | (429) all_0_115_115 = e23
% 14.35/3.88 |
% 14.35/3.88 | Equations (429) can reduce 200 to:
% 14.35/3.88 | (1532) ~ (all_0_116_116 = e23)
% 14.35/3.88 |
% 14.35/3.88 | Simplifying 1532 yields:
% 14.35/3.88 | (1533) ~ (all_0_116_116 = e23)
% 14.35/3.88 |
% 14.35/3.88 | Equations (429) can reduce 168 to:
% 14.35/3.88 | (1534) ~ (all_0_118_118 = e23)
% 14.35/3.88 |
% 14.35/3.88 | Simplifying 1534 yields:
% 14.35/3.88 | (956) ~ (all_0_118_118 = e23)
% 14.35/3.88 |
% 14.35/3.88 | Equations (429) can reduce 1530 to:
% 14.35/3.88 | (22) ~ (e23 = e22)
% 14.35/3.88 |
% 14.35/3.88 | Equations (429) can reduce 259 to:
% 14.35/3.88 | (270) ~ (e23 = e21)
% 14.35/3.88 |
% 14.35/3.88 | From (429) and (79) follows:
% 14.35/3.88 | (1540) op2(e22, e23) = all_0_93_93
% 14.35/3.88 |
% 14.35/3.88 | From (429) and (116) follows:
% 14.35/3.88 | (1541) op2(e22, e22) = e23
% 14.35/3.89 |
% 14.35/3.89 +-Applying beta-rule and splitting (115), into two cases.
% 14.35/3.89 |-Branch one:
% 14.35/3.89 | (421) all_0_115_115 = e22
% 14.35/3.89 |
% 14.35/3.89 | Combining equations (429,421) yields a new equation:
% 14.35/3.89 | (1543) e23 = e22
% 14.35/3.89 |
% 14.35/3.89 | Simplifying 1543 yields:
% 14.35/3.89 | (430) e23 = e22
% 14.35/3.89 |
% 14.35/3.89 | Equations (430) can reduce 22 to:
% 14.35/3.89 | (384) $false
% 14.35/3.89 |
% 14.35/3.89 |-The branch is then unsatisfiable
% 14.35/3.89 |-Branch two:
% 14.35/3.89 | (1530) ~ (all_0_115_115 = e22)
% 14.35/3.89 | (1547) all_0_116_116 = e22
% 14.35/3.89 |
% 14.35/3.89 | Equations (1547) can reduce 1533 to:
% 14.35/3.89 | (388) ~ (e23 = e22)
% 14.35/3.89 |
% 14.35/3.89 | Simplifying 388 yields:
% 14.35/3.89 | (22) ~ (e23 = e22)
% 14.35/3.89 |
% 14.35/3.89 | Equations (1547) can reduce 1607 to:
% 14.35/3.89 | (229) ~ (e22 = e21)
% 14.35/3.89 |
% 14.35/3.89 | From (1547) and (272) follows:
% 14.35/3.89 | (1551) op2(e22, e22) = all_0_94_94
% 14.35/3.89 |
% 14.35/3.89 +-Applying beta-rule and splitting (193), into two cases.
% 14.35/3.89 |-Branch one:
% 14.35/3.89 | (433) all_0_116_116 = e23
% 14.35/3.89 |
% 14.35/3.89 | Combining equations (433,1547) yields a new equation:
% 14.35/3.89 | (1543) e23 = e22
% 14.35/3.89 |
% 14.35/3.89 | Simplifying 1543 yields:
% 14.35/3.89 | (430) e23 = e22
% 14.35/3.89 |
% 14.35/3.89 | Equations (430) can reduce 22 to:
% 14.35/3.89 | (384) $false
% 14.35/3.89 |
% 14.35/3.89 |-The branch is then unsatisfiable
% 14.35/3.89 |-Branch two:
% 14.35/3.89 | (1533) ~ (all_0_116_116 = e23)
% 14.35/3.89 | (1792) all_0_120_120 = e23 | all_0_124_124 = e23
% 14.35/3.89 |
% 14.35/3.89 +-Applying beta-rule and splitting (1792), into two cases.
% 14.35/3.89 |-Branch one:
% 14.35/3.89 | (1003) all_0_120_120 = e23
% 14.35/3.89 |
% 14.35/3.89 | Combining equations (1003,437) yields a new equation:
% 14.35/3.89 | (976) e23 = e21
% 14.35/3.89 |
% 14.35/3.89 | Simplifying 976 yields:
% 14.35/3.89 | (425) e23 = e21
% 14.35/3.89 |
% 14.35/3.89 | Equations (425) can reduce 270 to:
% 14.35/3.89 | (384) $false
% 14.35/3.89 |
% 14.35/3.89 |-The branch is then unsatisfiable
% 14.35/3.89 |-Branch two:
% 14.35/3.89 | (435) ~ (all_0_120_120 = e23)
% 14.35/3.89 | (1629) all_0_124_124 = e23
% 14.35/3.89 |
% 14.35/3.89 | Equations (1629) can reduce 1666 to:
% 14.35/3.89 | (270) ~ (e23 = e21)
% 14.35/3.89 |
% 14.35/3.89 | Equations (1629) can reduce 256 to:
% 14.35/3.89 | (254) ~ (e23 = e20)
% 14.35/3.89 |
% 14.35/3.89 +-Applying beta-rule and splitting (121), into two cases.
% 14.35/3.89 |-Branch one:
% 14.35/3.89 | (962) all_0_117_117 = e23
% 14.35/3.89 |
% 14.35/3.89 | Equations (962) can reduce 306 to:
% 14.35/3.89 | (1534) ~ (all_0_118_118 = e23)
% 14.35/3.89 |
% 14.35/3.89 | Simplifying 1534 yields:
% 14.35/3.89 | (956) ~ (all_0_118_118 = e23)
% 14.35/3.89 |
% 14.35/3.89 | Equations (962) can reduce 331 to:
% 14.35/3.89 | (22) ~ (e23 = e22)
% 14.35/3.89 |
% 14.35/3.89 +-Applying beta-rule and splitting (340), into two cases.
% 14.35/3.89 |-Branch one:
% 14.35/3.89 | (1012) all_0_117_117 = e20
% 14.35/3.89 |
% 14.35/3.89 | Combining equations (962,1012) yields a new equation:
% 14.35/3.89 | (953) e23 = e20
% 14.35/3.89 |
% 14.35/3.89 | Simplifying 953 yields:
% 14.35/3.89 | (954) e23 = e20
% 14.35/3.89 |
% 14.35/3.89 | Equations (954) can reduce 254 to:
% 14.35/3.89 | (384) $false
% 14.35/3.89 |
% 14.35/3.89 |-The branch is then unsatisfiable
% 14.35/3.89 |-Branch two:
% 14.35/3.89 | (1339) ~ (all_0_117_117 = e20)
% 14.35/3.89 | (934) all_0_121_121 = e20
% 14.35/3.89 |
% 14.35/3.89 | Equations (934) can reduce 86 to:
% 14.35/3.89 | (935) ~ (all_0_122_122 = e20)
% 14.35/3.89 |
% 14.35/3.89 | Simplifying 935 yields:
% 14.35/3.89 | (936) ~ (all_0_122_122 = e20)
% 14.35/3.89 |
% 14.35/3.89 +-Applying beta-rule and splitting (293), into two cases.
% 14.35/3.89 |-Branch one:
% 14.35/3.89 | (1638) all_0_122_122 = e22
% 14.35/3.89 |
% 14.35/3.89 | Equations (1638) can reduce 238 to:
% 14.35/3.89 | (229) ~ (e22 = e21)
% 14.35/3.89 |
% 14.35/3.89 | Equations (1638) can reduce 936 to:
% 14.35/3.89 | (112) ~ (e22 = e20)
% 14.35/3.89 |
% 14.35/3.89 +-Applying beta-rule and splitting (117), into two cases.
% 14.35/3.89 |-Branch one:
% 14.35/3.89 | (939) all_0_118_118 = e20
% 14.35/3.89 |
% 14.35/3.89 | Equations (939) can reduce 956 to:
% 14.35/3.89 | (1589) ~ (e23 = e20)
% 14.35/3.89 |
% 14.35/3.89 | Simplifying 1589 yields:
% 14.35/3.89 | (254) ~ (e23 = e20)
% 14.35/3.89 |
% 14.35/3.89 | Instantiating formula (169) with e22, e23, all_0_93_93, e21 and discharging atoms op2(e22, e23) = all_0_93_93, op2(e22, e23) = e21, yields:
% 14.35/3.89 | (1593) all_0_93_93 = e21
% 14.35/3.89 |
% 14.35/3.89 | Instantiating formula (169) with e22, e22, e23, all_0_94_94 and discharging atoms op2(e22, e22) = all_0_94_94, op2(e22, e22) = e23, yields:
% 14.35/3.89 | (1603) all_0_94_94 = e23
% 14.35/3.89 |
% 14.35/3.89 +-Applying beta-rule and splitting (124), into two cases.
% 14.35/3.89 |-Branch one:
% 14.35/3.89 | (1604) all_0_116_116 = e21
% 14.35/3.89 |
% 14.35/3.89 | Combining equations (1547,1604) yields a new equation:
% 14.35/3.89 | (1659) e22 = e21
% 14.35/3.89 |
% 14.35/3.89 | Simplifying 1659 yields:
% 14.35/3.89 | (398) e22 = e21
% 14.35/3.89 |
% 14.35/3.89 | Equations (398) can reduce 229 to:
% 14.35/3.89 | (384) $false
% 14.35/3.89 |
% 14.35/3.89 |-The branch is then unsatisfiable
% 14.35/3.89 |-Branch two:
% 14.35/3.89 | (1607) ~ (all_0_116_116 = e21)
% 14.35/3.89 | (1608) all_0_92_92 = e23 | all_0_93_93 = e22 | all_0_94_94 = e20
% 14.35/3.89 |
% 14.35/3.90 | Equations (1547) can reduce 1607 to:
% 14.35/3.90 | (229) ~ (e22 = e21)
% 14.35/3.90 |
% 14.35/3.90 +-Applying beta-rule and splitting (1608), into two cases.
% 14.35/3.90 |-Branch one:
% 14.35/3.90 | (1610) all_0_93_93 = e22
% 14.35/3.90 |
% 14.35/3.90 | Combining equations (1593,1610) yields a new equation:
% 14.35/3.90 | (398) e22 = e21
% 14.35/3.90 |
% 14.35/3.90 | Equations (398) can reduce 229 to:
% 14.35/3.90 | (384) $false
% 14.35/3.90 |
% 14.35/3.90 |-The branch is then unsatisfiable
% 14.35/3.90 |-Branch two:
% 14.35/3.90 | (1613) ~ (all_0_93_93 = e22)
% 14.35/3.90 | (1614) all_0_92_92 = e23 | all_0_94_94 = e20
% 14.35/3.90 |
% 14.35/3.90 +-Applying beta-rule and splitting (1614), into two cases.
% 14.35/3.90 |-Branch one:
% 14.35/3.90 | (1615) all_0_92_92 = e23
% 14.35/3.90 |
% 14.35/3.90 | Combining equations (375,1615) yields a new equation:
% 14.35/3.90 | (954) e23 = e20
% 14.35/3.90 |
% 14.35/3.90 | Equations (954) can reduce 254 to:
% 14.35/3.90 | (384) $false
% 14.35/3.90 |
% 14.35/3.90 |-The branch is then unsatisfiable
% 14.35/3.90 |-Branch two:
% 14.35/3.90 | (1618) ~ (all_0_92_92 = e23)
% 14.35/3.90 | (1619) all_0_94_94 = e20
% 14.35/3.90 |
% 14.35/3.90 | Combining equations (1603,1619) yields a new equation:
% 14.35/3.90 | (953) e23 = e20
% 14.35/3.90 |
% 14.35/3.90 | Simplifying 953 yields:
% 14.35/3.90 | (954) e23 = e20
% 14.35/3.90 |
% 14.35/3.90 | Equations (954) can reduce 254 to:
% 14.35/3.90 | (384) $false
% 14.35/3.90 |
% 14.35/3.90 |-The branch is then unsatisfiable
% 14.35/3.90 |-Branch two:
% 14.35/3.90 | (1006) ~ (all_0_118_118 = e20)
% 14.35/3.90 | (1007) all_0_122_122 = e20
% 14.35/3.90 |
% 14.35/3.90 | Combining equations (1007,1638) yields a new equation:
% 14.35/3.90 | (983) e22 = e20
% 14.35/3.90 |
% 14.35/3.90 | Equations (983) can reduce 112 to:
% 14.35/3.90 | (384) $false
% 14.35/3.90 |
% 14.35/3.90 |-The branch is then unsatisfiable
% 14.35/3.90 |-Branch two:
% 14.35/3.90 | (387) ~ (all_0_122_122 = e22)
% 14.35/3.90 | (1729) all_0_123_123 = e22 | all_0_124_124 = e22
% 14.35/3.90 |
% 14.35/3.90 +-Applying beta-rule and splitting (1729), into two cases.
% 14.35/3.90 |-Branch one:
% 14.35/3.90 | (386) all_0_123_123 = e22
% 14.35/3.90 |
% 14.35/3.90 | Combining equations (386,383) yields a new equation:
% 14.35/3.90 | (1659) e22 = e21
% 14.35/3.90 |
% 14.35/3.90 | Simplifying 1659 yields:
% 14.35/3.90 | (398) e22 = e21
% 14.35/3.90 |
% 14.35/3.90 | Equations (398) can reduce 229 to:
% 14.35/3.90 | (384) $false
% 14.35/3.90 |
% 14.35/3.90 |-The branch is then unsatisfiable
% 14.35/3.90 |-Branch two:
% 14.35/3.90 | (1644) ~ (all_0_123_123 = e22)
% 14.35/3.90 | (1734) all_0_124_124 = e22
% 14.35/3.90 |
% 14.35/3.90 | Combining equations (1629,1734) yields a new equation:
% 14.35/3.90 | (1543) e23 = e22
% 14.35/3.90 |
% 14.35/3.90 | Simplifying 1543 yields:
% 14.35/3.90 | (430) e23 = e22
% 14.35/3.90 |
% 14.35/3.90 | Equations (430) can reduce 22 to:
% 14.35/3.90 | (384) $false
% 14.35/3.90 |
% 14.35/3.90 |-The branch is then unsatisfiable
% 14.35/3.90 |-Branch two:
% 14.35/3.90 | (997) ~ (all_0_117_117 = e23)
% 14.35/3.90 | (998) all_0_118_118 = e23 | all_0_120_120 = e23
% 14.35/3.90 |
% 14.35/3.90 +-Applying beta-rule and splitting (998), into two cases.
% 14.35/3.90 |-Branch one:
% 14.35/3.90 | (952) all_0_118_118 = e23
% 14.35/3.90 |
% 14.35/3.90 | Equations (952) can reduce 956 to:
% 14.35/3.90 | (384) $false
% 14.35/3.90 |
% 14.35/3.90 |-The branch is then unsatisfiable
% 14.35/3.90 |-Branch two:
% 14.35/3.90 | (956) ~ (all_0_118_118 = e23)
% 14.35/3.90 | (1003) all_0_120_120 = e23
% 14.35/3.90 |
% 14.35/3.90 | Combining equations (1003,437) yields a new equation:
% 14.35/3.90 | (976) e23 = e21
% 14.35/3.90 |
% 14.35/3.90 | Simplifying 976 yields:
% 14.35/3.90 | (425) e23 = e21
% 14.35/3.90 |
% 14.35/3.90 | Equations (425) can reduce 270 to:
% 14.35/3.90 | (384) $false
% 14.35/3.90 |
% 14.35/3.90 |-The branch is then unsatisfiable
% 14.35/3.90 |-Branch two:
% 14.35/3.90 | (380) ~ (all_0_123_123 = e21)
% 14.35/3.90 | (386) all_0_123_123 = e22
% 14.35/3.90 |
% 14.35/3.90 | Equations (386) can reduce 1644 to:
% 14.35/3.90 | (384) $false
% 14.35/3.90 |
% 14.35/3.90 |-The branch is then unsatisfiable
% 14.35/3.90 |-Branch two:
% 14.35/3.91 | (1868) ~ (all_0_114_114 = e21)
% 14.35/3.91 | (1604) all_0_116_116 = e21
% 14.35/3.91 |
% 14.35/3.91 | Equations (1604) can reduce 18 to:
% 14.35/3.91 | (1868) ~ (all_0_114_114 = e21)
% 14.35/3.91 |
% 14.35/3.91 | Equations (1604) can reduce 200 to:
% 14.35/3.91 | (259) ~ (all_0_115_115 = e21)
% 14.35/3.91 |
% 14.35/3.91 | Equations (1604) can reduce 175 to:
% 14.35/3.91 | (1665) ~ (all_0_124_124 = e21)
% 14.35/3.91 |
% 14.35/3.91 | Simplifying 1665 yields:
% 14.35/3.91 | (1666) ~ (all_0_124_124 = e21)
% 14.35/3.91 |
% 14.35/3.91 +-Applying beta-rule and splitting (189), into two cases.
% 14.35/3.91 |-Branch one:
% 14.35/3.91 | (366) all_0_114_114 = e21
% 14.35/3.91 |
% 14.35/3.91 | Equations (366) can reduce 1868 to:
% 14.35/3.91 | (384) $false
% 14.35/3.91 |
% 14.35/3.91 |-The branch is then unsatisfiable
% 14.35/3.91 |-Branch two:
% 14.35/3.91 | (1868) ~ (all_0_114_114 = e21)
% 14.35/3.91 | (424) all_0_114_114 = e23
% 14.35/3.91 |
% 14.35/3.91 | Equations (424) can reduce 23 to:
% 14.35/3.91 | (1878) ~ (all_0_117_117 = e23)
% 14.35/3.91 |
% 14.35/3.91 | Simplifying 1878 yields:
% 14.35/3.91 | (997) ~ (all_0_117_117 = e23)
% 14.35/3.91 |
% 14.35/3.91 +-Applying beta-rule and splitting (115), into two cases.
% 14.35/3.91 |-Branch one:
% 14.35/3.91 | (421) all_0_115_115 = e22
% 14.35/3.91 |
% 14.35/3.91 | Equations (421) can reduce 168 to:
% 14.35/3.91 | (1881) ~ (all_0_118_118 = e22)
% 14.35/3.91 |
% 14.35/3.91 | Simplifying 1881 yields:
% 14.35/3.91 | (442) ~ (all_0_118_118 = e22)
% 14.35/3.91 |
% 14.35/3.91 | Equations (421) can reduce 95 to:
% 14.35/3.91 | (422) ~ (all_0_122_122 = e22)
% 14.35/3.91 |
% 14.35/3.91 | Simplifying 422 yields:
% 14.35/3.91 | (387) ~ (all_0_122_122 = e22)
% 14.35/3.91 |
% 14.35/3.91 | Equations (421) can reduce 259 to:
% 14.35/3.91 | (229) ~ (e22 = e21)
% 14.35/3.91 |
% 14.35/3.91 +-Applying beta-rule and splitting (225), into two cases.
% 14.35/3.91 |-Branch one:
% 14.35/3.91 | (383) all_0_123_123 = e21
% 14.35/3.91 |
% 14.35/3.91 | Equations (383) can reduce 302 to:
% 14.35/3.91 | (372) ~ (all_0_121_121 = e21)
% 14.35/3.91 |
% 14.35/3.91 | Equations (383) can reduce 185 to:
% 14.35/3.91 | (381) ~ (e23 = e21)
% 14.35/3.91 |
% 14.35/3.91 | Simplifying 381 yields:
% 14.35/3.91 | (270) ~ (e23 = e21)
% 14.35/3.91 |
% 14.35/3.91 | Equations (383) can reduce 226 to:
% 14.35/3.91 | (316) ~ (e21 = e20)
% 14.35/3.91 |
% 14.35/3.91 +-Applying beta-rule and splitting (44), into two cases.
% 14.35/3.91 |-Branch one:
% 14.35/3.91 | (1641) all_0_119_119 = e22
% 14.35/3.91 |
% 14.35/3.91 | Equations (1641) can reduce 160 to:
% 14.35/3.91 | (331) ~ (all_0_117_117 = e22)
% 14.35/3.91 |
% 14.35/3.91 | From (1641) and (167) follows:
% 14.35/3.91 | (1648) op2(e21, e22) = all_0_97_97
% 14.35/3.91 |
% 14.35/3.91 | From (1641) and (213) follows:
% 14.35/3.91 | (1649) op2(e21, e21) = e22
% 14.35/3.91 |
% 14.35/3.91 +-Applying beta-rule and splitting (293), into two cases.
% 14.35/3.91 |-Branch one:
% 14.35/3.91 | (1638) all_0_122_122 = e22
% 14.35/3.91 |
% 14.35/3.91 | Equations (1638) can reduce 387 to:
% 14.35/3.91 | (384) $false
% 14.35/3.91 |
% 14.35/3.91 |-The branch is then unsatisfiable
% 14.35/3.91 |-Branch two:
% 14.35/3.91 | (387) ~ (all_0_122_122 = e22)
% 14.35/3.91 | (1729) all_0_123_123 = e22 | all_0_124_124 = e22
% 14.35/3.91 |
% 14.35/3.91 +-Applying beta-rule and splitting (88), into two cases.
% 14.35/3.91 |-Branch one:
% 14.35/3.91 | (366) all_0_114_114 = e21
% 14.35/3.91 |
% 14.35/3.91 | Combining equations (424,366) yields a new equation:
% 14.35/3.91 | (976) e23 = e21
% 14.35/3.91 |
% 14.35/3.91 | Simplifying 976 yields:
% 14.35/3.91 | (425) e23 = e21
% 14.35/3.91 |
% 14.35/3.91 | Equations (425) can reduce 270 to:
% 14.35/3.91 | (384) $false
% 14.35/3.91 |
% 14.35/3.91 |-The branch is then unsatisfiable
% 14.35/3.91 |-Branch two:
% 14.35/3.91 | (1868) ~ (all_0_114_114 = e21)
% 14.35/3.91 | (1904) all_0_117_117 = e21 | all_0_121_121 = e21
% 14.35/3.91 |
% 14.35/3.91 +-Applying beta-rule and splitting (1904), into two cases.
% 14.35/3.91 |-Branch one:
% 14.35/3.91 | (1654) all_0_117_117 = e21
% 14.35/3.91 |
% 14.35/3.91 | Equations (1654) can reduce 306 to:
% 14.35/3.91 | (1906) ~ (all_0_118_118 = e21)
% 14.35/3.91 |
% 14.35/3.91 | Simplifying 1906 yields:
% 14.35/3.91 | (137) ~ (all_0_118_118 = e21)
% 14.35/3.91 |
% 14.35/3.91 | Equations (1654) can reduce 59 to:
% 14.35/3.91 | (1908) ~ (all_0_120_120 = e21)
% 14.35/3.91 |
% 14.35/3.91 | Simplifying 1908 yields:
% 14.35/3.91 | (402) ~ (all_0_120_120 = e21)
% 14.35/3.91 |
% 14.35/3.91 | Equations (1654) can reduce 267 to:
% 14.35/3.91 | (371) ~ (all_0_121_121 = e21)
% 14.35/3.91 |
% 14.35/3.91 | Simplifying 371 yields:
% 14.35/3.91 | (372) ~ (all_0_121_121 = e21)
% 14.35/3.91 |
% 14.35/3.91 | Equations (1654) can reduce 331 to:
% 14.35/3.91 | (1652) ~ (e22 = e21)
% 14.35/3.91 |
% 14.35/3.91 | Simplifying 1652 yields:
% 14.35/3.91 | (229) ~ (e22 = e21)
% 14.35/3.91 |
% 14.35/3.91 | From (1654) and (280) follows:
% 14.35/3.91 | (1914) op2(e21, e21) = all_0_95_95
% 14.35/3.91 |
% 14.35/3.91 | From (1654) and (260) follows:
% 14.35/3.91 | (1915) op2(e21, e23) = e21
% 14.35/3.91 |
% 14.35/3.91 +-Applying beta-rule and splitting (33), into two cases.
% 14.35/3.91 |-Branch one:
% 14.35/3.91 | (393) all_0_121_121 = e21
% 14.35/3.91 |
% 14.35/3.91 | Equations (393) can reduce 372 to:
% 14.35/3.91 | (384) $false
% 14.35/3.91 |
% 14.35/3.91 |-The branch is then unsatisfiable
% 14.35/3.91 |-Branch two:
% 14.35/3.91 | (372) ~ (all_0_121_121 = e21)
% 14.35/3.91 | (1024) all_0_121_121 = e23 | all_0_121_121 = e20
% 14.35/3.91 |
% 14.35/3.91 +-Applying beta-rule and splitting (1729), into two cases.
% 14.35/3.91 |-Branch one:
% 14.35/3.91 | (386) all_0_123_123 = e22
% 14.35/3.91 |
% 14.35/3.91 | Combining equations (386,383) yields a new equation:
% 14.35/3.91 | (1659) e22 = e21
% 14.35/3.92 |
% 14.35/3.92 | Simplifying 1659 yields:
% 14.35/3.92 | (398) e22 = e21
% 14.35/3.92 |
% 14.35/3.92 | Equations (398) can reduce 229 to:
% 14.35/3.92 | (384) $false
% 14.35/3.92 |
% 14.35/3.92 |-The branch is then unsatisfiable
% 14.35/3.92 |-Branch two:
% 14.35/3.92 | (1644) ~ (all_0_123_123 = e22)
% 14.35/3.92 | (1734) all_0_124_124 = e22
% 14.35/3.92 |
% 14.35/3.92 | Equations (1734) can reduce 34 to:
% 14.35/3.92 | (1527) ~ (all_0_120_120 = e22)
% 14.35/3.92 |
% 14.35/3.92 +-Applying beta-rule and splitting (162), into two cases.
% 14.35/3.92 |-Branch one:
% 14.35/3.92 | (1012) all_0_117_117 = e20
% 14.35/3.92 |
% 14.35/3.92 | Combining equations (1654,1012) yields a new equation:
% 14.35/3.92 | (1928) e21 = e20
% 14.35/3.92 |
% 14.35/3.92 | Simplifying 1928 yields:
% 14.35/3.92 | (1929) e21 = e20
% 14.35/3.92 |
% 14.35/3.92 | Equations (1929) can reduce 316 to:
% 14.35/3.92 | (384) $false
% 14.35/3.92 |
% 14.35/3.92 |-The branch is then unsatisfiable
% 14.35/3.92 |-Branch two:
% 14.35/3.92 | (1339) ~ (all_0_117_117 = e20)
% 14.35/3.92 | (939) all_0_118_118 = e20
% 14.35/3.92 |
% 14.35/3.92 | Equations (939) can reduce 137 to:
% 14.35/3.92 | (1933) ~ (e21 = e20)
% 14.35/3.92 |
% 14.35/3.92 | Simplifying 1933 yields:
% 14.35/3.92 | (316) ~ (e21 = e20)
% 14.35/3.92 |
% 14.35/3.92 | From (939) and (237) follows:
% 14.35/3.92 | (1935) op2(e21, e20) = all_0_96_96
% 14.35/3.92 |
% 14.35/3.92 | From (939) and (218) follows:
% 14.35/3.92 | (1936) op2(e21, e22) = e20
% 14.35/3.92 |
% 14.35/3.92 +-Applying beta-rule and splitting (340), into two cases.
% 14.35/3.92 |-Branch one:
% 14.35/3.92 | (1012) all_0_117_117 = e20
% 14.35/3.92 |
% 14.35/3.92 | Combining equations (1654,1012) yields a new equation:
% 14.35/3.92 | (1928) e21 = e20
% 14.35/3.92 |
% 14.35/3.92 | Simplifying 1928 yields:
% 14.35/3.92 | (1929) e21 = e20
% 14.35/3.92 |
% 14.35/3.92 | Equations (1929) can reduce 316 to:
% 14.35/3.92 | (384) $false
% 14.35/3.92 |
% 14.35/3.92 |-The branch is then unsatisfiable
% 14.35/3.92 |-Branch two:
% 14.35/3.92 | (1339) ~ (all_0_117_117 = e20)
% 14.35/3.92 | (934) all_0_121_121 = e20
% 14.35/3.92 |
% 14.35/3.92 | Equations (934) can reduce 372 to:
% 14.35/3.92 | (1933) ~ (e21 = e20)
% 14.35/3.92 |
% 14.35/3.92 | Simplifying 1933 yields:
% 14.35/3.92 | (316) ~ (e21 = e20)
% 14.35/3.92 |
% 14.35/3.92 +-Applying beta-rule and splitting (201), into two cases.
% 14.35/3.92 |-Branch one:
% 14.35/3.92 | (437) all_0_120_120 = e21
% 14.35/3.92 |
% 14.35/3.92 | Equations (437) can reduce 402 to:
% 14.35/3.92 | (384) $false
% 14.35/3.92 |
% 14.35/3.92 |-The branch is then unsatisfiable
% 14.35/3.92 |-Branch two:
% 14.35/3.92 | (402) ~ (all_0_120_120 = e21)
% 14.35/3.92 | (440) all_0_120_120 = e23 | all_0_120_120 = e22
% 14.35/3.92 |
% 14.35/3.92 +-Applying beta-rule and splitting (440), into two cases.
% 14.35/3.92 |-Branch one:
% 14.35/3.92 | (441) all_0_120_120 = e22
% 14.35/3.92 |
% 14.35/3.92 | Equations (441) can reduce 1527 to:
% 14.35/3.92 | (384) $false
% 14.35/3.92 |
% 14.35/3.92 |-The branch is then unsatisfiable
% 14.35/3.92 |-Branch two:
% 14.35/3.92 | (1527) ~ (all_0_120_120 = e22)
% 14.35/3.92 | (1003) all_0_120_120 = e23
% 14.35/3.92 |
% 14.35/3.92 | Equations (1003) can reduce 1527 to:
% 14.35/3.92 | (22) ~ (e23 = e22)
% 14.35/3.92 |
% 14.35/3.92 | From (1003) and (172) follows:
% 14.35/3.92 | (1954) op2(e21, e23) = all_0_98_98
% 14.35/3.92 |
% 14.35/3.92 | From (1003) and (9) follows:
% 14.35/3.92 | (1955) op2(e21, e20) = e23
% 14.35/3.92 |
% 14.35/3.92 | Instantiating formula (169) with e21, e23, e21, all_0_98_98 and discharging atoms op2(e21, e23) = all_0_98_98, op2(e21, e23) = e21, yields:
% 14.35/3.92 | (1956) all_0_98_98 = e21
% 14.35/3.92 |
% 14.35/3.92 | Instantiating formula (169) with e21, e22, e20, all_0_97_97 and discharging atoms op2(e21, e22) = all_0_97_97, op2(e21, e22) = e20, yields:
% 14.35/3.92 | (1957) all_0_97_97 = e20
% 14.35/3.92 |
% 14.66/3.92 | Instantiating formula (169) with e21, e21, e22, all_0_95_95 and discharging atoms op2(e21, e21) = all_0_95_95, op2(e21, e21) = e22, yields:
% 14.66/3.92 | (1958) all_0_95_95 = e22
% 14.66/3.92 |
% 14.66/3.92 | Instantiating formula (169) with e21, e20, e23, all_0_96_96 and discharging atoms op2(e21, e20) = all_0_96_96, op2(e21, e20) = e23, yields:
% 14.66/3.92 | (1959) all_0_96_96 = e23
% 14.66/3.92 |
% 14.66/3.92 +-Applying beta-rule and splitting (12), into two cases.
% 14.66/3.92 |-Branch one:
% 14.66/3.92 | (1738) all_0_97_97 = e21
% 14.66/3.92 |
% 14.66/3.92 | Combining equations (1738,1957) yields a new equation:
% 14.66/3.92 | (1928) e21 = e20
% 14.66/3.92 |
% 14.66/3.92 | Simplifying 1928 yields:
% 14.66/3.92 | (1929) e21 = e20
% 14.66/3.92 |
% 14.66/3.92 | Equations (1929) can reduce 316 to:
% 14.66/3.92 | (384) $false
% 14.66/3.92 |
% 14.66/3.92 |-The branch is then unsatisfiable
% 14.66/3.92 |-Branch two:
% 14.66/3.92 | (1742) ~ (all_0_97_97 = e21)
% 14.66/3.92 | (1743) all_0_95_95 = e23 | all_0_96_96 = e22 | all_0_98_98 = e20
% 14.66/3.92 |
% 14.66/3.93 | Equations (1957) can reduce 1742 to:
% 14.66/3.93 | (1933) ~ (e21 = e20)
% 14.66/3.93 |
% 14.66/3.93 | Simplifying 1933 yields:
% 14.66/3.93 | (316) ~ (e21 = e20)
% 14.66/3.93 |
% 14.66/3.93 +-Applying beta-rule and splitting (1743), into two cases.
% 14.66/3.93 |-Branch one:
% 14.66/3.93 | (1745) all_0_96_96 = e22
% 14.66/3.93 |
% 14.66/3.93 | Combining equations (1745,1959) yields a new equation:
% 14.66/3.93 | (430) e23 = e22
% 14.66/3.93 |
% 14.66/3.93 | Equations (430) can reduce 22 to:
% 14.66/3.93 | (384) $false
% 14.66/3.93 |
% 14.66/3.93 |-The branch is then unsatisfiable
% 14.66/3.93 |-Branch two:
% 14.66/3.93 | (1748) ~ (all_0_96_96 = e22)
% 14.66/3.93 | (1749) all_0_95_95 = e23 | all_0_98_98 = e20
% 14.66/3.93 |
% 14.66/3.93 | Equations (1959) can reduce 1748 to:
% 14.66/3.93 | (22) ~ (e23 = e22)
% 14.66/3.93 |
% 14.66/3.93 +-Applying beta-rule and splitting (1749), into two cases.
% 14.66/3.93 |-Branch one:
% 14.66/3.93 | (1752) all_0_95_95 = e23
% 14.66/3.93 |
% 14.66/3.93 | Combining equations (1752,1958) yields a new equation:
% 14.66/3.93 | (1543) e23 = e22
% 14.66/3.93 |
% 14.66/3.93 | Simplifying 1543 yields:
% 14.66/3.93 | (430) e23 = e22
% 14.66/3.93 |
% 14.66/3.93 | Equations (430) can reduce 22 to:
% 14.66/3.93 | (384) $false
% 14.66/3.93 |
% 14.66/3.93 |-The branch is then unsatisfiable
% 14.66/3.93 |-Branch two:
% 14.66/3.93 | (1755) ~ (all_0_95_95 = e23)
% 14.66/3.93 | (1756) all_0_98_98 = e20
% 14.66/3.93 |
% 14.66/3.93 | Combining equations (1756,1956) yields a new equation:
% 14.66/3.93 | (1929) e21 = e20
% 14.66/3.93 |
% 14.66/3.93 | Equations (1929) can reduce 316 to:
% 14.66/3.93 | (384) $false
% 14.66/3.93 |
% 14.66/3.93 |-The branch is then unsatisfiable
% 14.66/3.93 |-Branch two:
% 14.66/3.93 | (370) ~ (all_0_117_117 = e21)
% 14.66/3.93 | (393) all_0_121_121 = e21
% 14.66/3.93 |
% 14.66/3.93 | Equations (393) can reduce 372 to:
% 14.66/3.93 | (384) $false
% 14.66/3.93 |
% 14.66/3.93 |-The branch is then unsatisfiable
% 14.66/3.93 |-Branch two:
% 14.66/3.93 | (1985) ~ (all_0_119_119 = e22)
% 14.66/3.93 | (386) all_0_123_123 = e22
% 14.66/3.93 |
% 14.66/3.93 | Combining equations (386,383) yields a new equation:
% 14.66/3.93 | (1659) e22 = e21
% 14.66/3.93 |
% 14.66/3.93 | Simplifying 1659 yields:
% 14.66/3.93 | (398) e22 = e21
% 14.66/3.93 |
% 14.66/3.93 | Equations (398) can reduce 229 to:
% 14.66/3.93 | (384) $false
% 14.66/3.93 |
% 14.66/3.93 |-The branch is then unsatisfiable
% 14.66/3.93 |-Branch two:
% 14.66/3.93 | (380) ~ (all_0_123_123 = e21)
% 14.66/3.93 | (386) all_0_123_123 = e22
% 14.66/3.93 |
% 14.66/3.93 | Equations (386) can reduce 302 to:
% 14.66/3.93 | (15) ~ (all_0_121_121 = e22)
% 14.66/3.93 |
% 14.66/3.93 | Equations (386) can reduce 11 to:
% 14.66/3.93 | (387) ~ (all_0_122_122 = e22)
% 14.66/3.93 |
% 14.66/3.93 | Equations (386) can reduce 134 to:
% 14.66/3.93 | (1994) ~ (all_0_124_124 = e22)
% 14.66/3.93 |
% 14.66/3.93 | Simplifying 1994 yields:
% 14.66/3.93 | (1995) ~ (all_0_124_124 = e22)
% 14.66/3.93 |
% 14.66/3.93 | Equations (386) can reduce 380 to:
% 14.66/3.93 | (229) ~ (e22 = e21)
% 14.66/3.93 |
% 14.66/3.93 | From (386) and (219) follows:
% 14.66/3.93 | (391) op2(e20, e22) = all_0_101_101
% 14.66/3.93 |
% 14.66/3.93 | From (386) and (178) follows:
% 14.66/3.93 | (392) op2(e20, e21) = e22
% 14.66/3.93 |
% 14.66/3.93 +-Applying beta-rule and splitting (208), into two cases.
% 14.66/3.93 |-Branch one:
% 14.66/3.93 | (376) all_0_119_119 = e21
% 14.66/3.93 |
% 14.66/3.93 | Equations (376) can reduce 160 to:
% 14.66/3.93 | (370) ~ (all_0_117_117 = e21)
% 14.66/3.93 |
% 14.66/3.93 +-Applying beta-rule and splitting (199), into two cases.
% 14.66/3.93 |-Branch one:
% 14.66/3.93 | (401) all_0_124_124 = e21
% 14.66/3.93 |
% 14.66/3.93 | Equations (401) can reduce 1666 to:
% 14.66/3.93 | (384) $false
% 14.66/3.93 |
% 14.66/3.93 |-The branch is then unsatisfiable
% 14.66/3.93 |-Branch two:
% 14.66/3.93 | (1666) ~ (all_0_124_124 = e21)
% 14.66/3.93 | (2004) all_0_124_124 = e23 | all_0_124_124 = e22
% 14.66/3.93 |
% 14.66/3.93 +-Applying beta-rule and splitting (2004), into two cases.
% 14.66/3.93 |-Branch one:
% 14.66/3.93 | (1734) all_0_124_124 = e22
% 14.66/3.93 |
% 14.66/3.93 | Equations (1734) can reduce 1995 to:
% 14.66/3.93 | (384) $false
% 14.66/3.93 |
% 14.66/3.93 |-The branch is then unsatisfiable
% 14.66/3.93 |-Branch two:
% 14.66/3.94 | (1995) ~ (all_0_124_124 = e22)
% 14.66/3.94 | (1629) all_0_124_124 = e23
% 14.66/3.94 |
% 14.66/3.94 | Equations (1629) can reduce 34 to:
% 14.66/3.94 | (435) ~ (all_0_120_120 = e23)
% 14.66/3.94 |
% 14.66/3.94 | Equations (1629) can reduce 3 to:
% 14.66/3.94 | (1537) ~ (all_0_122_122 = e23)
% 14.66/3.94 |
% 14.66/3.94 | Equations (1629) can reduce 1666 to:
% 14.66/3.94 | (270) ~ (e23 = e21)
% 14.66/3.94 |
% 14.66/3.94 | From (1629) and (131) follows:
% 14.66/3.94 | (2012) op2(e20, e23) = all_0_102_102
% 14.66/3.94 |
% 14.66/3.94 | From (1629) and (283) follows:
% 14.66/3.94 | (2013) op2(e20, e20) = e23
% 14.66/3.94 |
% 14.66/3.94 +-Applying beta-rule and splitting (88), into two cases.
% 14.66/3.94 |-Branch one:
% 14.66/3.94 | (366) all_0_114_114 = e21
% 14.66/3.94 |
% 14.66/3.94 | Combining equations (424,366) yields a new equation:
% 14.66/3.94 | (976) e23 = e21
% 14.66/3.94 |
% 14.66/3.94 | Simplifying 976 yields:
% 14.66/3.94 | (425) e23 = e21
% 14.66/3.94 |
% 14.66/3.94 | Equations (425) can reduce 270 to:
% 14.66/3.94 | (384) $false
% 14.66/3.94 |
% 14.66/3.94 |-The branch is then unsatisfiable
% 14.66/3.94 |-Branch two:
% 14.66/3.94 | (1868) ~ (all_0_114_114 = e21)
% 14.66/3.94 | (1904) all_0_117_117 = e21 | all_0_121_121 = e21
% 14.66/3.94 |
% 14.66/3.94 +-Applying beta-rule and splitting (1904), into two cases.
% 14.66/3.94 |-Branch one:
% 14.66/3.94 | (1654) all_0_117_117 = e21
% 14.66/3.94 |
% 14.66/3.94 | Equations (1654) can reduce 370 to:
% 14.66/3.94 | (384) $false
% 14.66/3.94 |
% 14.66/3.94 |-The branch is then unsatisfiable
% 14.66/3.94 |-Branch two:
% 14.66/3.94 | (370) ~ (all_0_117_117 = e21)
% 14.66/3.94 | (393) all_0_121_121 = e21
% 14.66/3.94 |
% 14.66/3.94 | Equations (393) can reduce 267 to:
% 14.66/3.94 | (370) ~ (all_0_117_117 = e21)
% 14.66/3.94 |
% 14.66/3.94 | Equations (393) can reduce 15 to:
% 14.66/3.94 | (1652) ~ (e22 = e21)
% 14.66/3.94 |
% 14.66/3.94 | Simplifying 1652 yields:
% 14.66/3.94 | (229) ~ (e22 = e21)
% 14.66/3.94 |
% 14.66/3.94 | From (393) and (246) follows:
% 14.66/3.94 | (2027) op2(e20, e21) = all_0_99_99
% 14.66/3.94 |
% 14.66/3.94 | From (393) and (224) follows:
% 14.66/3.94 | (2028) op2(e20, e23) = e21
% 14.66/3.94 |
% 14.66/3.94 +-Applying beta-rule and splitting (180), into two cases.
% 14.66/3.94 |-Branch one:
% 14.66/3.94 | (1562) all_0_118_118 = e22
% 14.66/3.94 |
% 14.66/3.94 | Equations (1562) can reduce 442 to:
% 14.66/3.94 | (384) $false
% 14.66/3.94 |
% 14.66/3.94 |-The branch is then unsatisfiable
% 14.66/3.94 |-Branch two:
% 14.66/3.94 | (442) ~ (all_0_118_118 = e22)
% 14.66/3.94 | (2032) all_0_119_119 = e22 | all_0_120_120 = e22
% 14.66/3.94 |
% 14.66/3.94 +-Applying beta-rule and splitting (2032), into two cases.
% 14.66/3.94 |-Branch one:
% 14.66/3.94 | (1641) all_0_119_119 = e22
% 14.66/3.94 |
% 14.66/3.94 | Combining equations (376,1641) yields a new equation:
% 14.66/3.94 | (398) e22 = e21
% 14.66/3.94 |
% 14.66/3.94 | Equations (398) can reduce 229 to:
% 14.66/3.94 | (384) $false
% 14.66/3.94 |
% 14.66/3.94 |-The branch is then unsatisfiable
% 14.66/3.94 |-Branch two:
% 14.66/3.94 | (1985) ~ (all_0_119_119 = e22)
% 14.66/3.94 | (441) all_0_120_120 = e22
% 14.66/3.94 |
% 14.66/3.94 | Equations (441) can reduce 215 to:
% 14.66/3.94 | (442) ~ (all_0_118_118 = e22)
% 14.66/3.94 |
% 14.66/3.94 | Equations (441) can reduce 435 to:
% 14.66/3.94 | (388) ~ (e23 = e22)
% 14.66/3.94 |
% 14.66/3.94 | Simplifying 388 yields:
% 14.66/3.94 | (22) ~ (e23 = e22)
% 14.66/3.94 |
% 14.66/3.94 +-Applying beta-rule and splitting (220), into two cases.
% 14.66/3.94 |-Branch one:
% 14.66/3.94 | (1638) all_0_122_122 = e22
% 14.66/3.94 |
% 14.66/3.94 | Equations (1638) can reduce 387 to:
% 14.66/3.94 | (384) $false
% 14.66/3.94 |
% 14.66/3.94 |-The branch is then unsatisfiable
% 14.66/3.94 |-Branch two:
% 14.66/3.94 | (387) ~ (all_0_122_122 = e22)
% 14.66/3.94 | (2044) all_0_122_122 = e23 | all_0_122_122 = e20
% 14.66/3.94 |
% 14.66/3.94 +-Applying beta-rule and splitting (2044), into two cases.
% 14.66/3.94 |-Branch one:
% 14.66/3.94 | (957) all_0_122_122 = e23
% 14.66/3.94 |
% 14.66/3.94 | Equations (957) can reduce 1537 to:
% 14.66/3.94 | (384) $false
% 14.66/3.94 |
% 14.66/3.94 |-The branch is then unsatisfiable
% 14.66/3.94 |-Branch two:
% 14.66/3.94 | (1537) ~ (all_0_122_122 = e23)
% 14.66/3.94 | (1007) all_0_122_122 = e20
% 14.66/3.94 |
% 14.66/3.94 | From (1007) and (313) follows:
% 14.66/3.94 | (2049) op2(e20, e20) = all_0_100_100
% 14.66/3.94 |
% 14.66/3.94 | From (1007) and (37) follows:
% 14.66/3.94 | (2050) op2(e20, e22) = e20
% 14.66/3.94 |
% 14.66/3.94 +-Applying beta-rule and splitting (52), into two cases.
% 14.66/3.94 |-Branch one:
% 14.66/3.94 | (1654) all_0_117_117 = e21
% 14.66/3.94 |
% 14.66/3.94 | Equations (1654) can reduce 370 to:
% 14.66/3.94 | (384) $false
% 14.66/3.94 |
% 14.66/3.94 |-The branch is then unsatisfiable
% 14.66/3.94 |-Branch two:
% 14.66/3.94 | (370) ~ (all_0_117_117 = e21)
% 14.66/3.94 | (2054) all_0_117_117 = e23 | all_0_117_117 = e20
% 14.66/3.94 |
% 14.66/3.94 +-Applying beta-rule and splitting (2054), into two cases.
% 14.66/3.94 |-Branch one:
% 14.66/3.94 | (962) all_0_117_117 = e23
% 14.66/3.94 |
% 14.66/3.94 | Equations (962) can reduce 997 to:
% 14.66/3.94 | (384) $false
% 14.66/3.94 |
% 14.66/3.94 |-The branch is then unsatisfiable
% 14.66/3.94 |-Branch two:
% 14.66/3.94 | (997) ~ (all_0_117_117 = e23)
% 14.66/3.94 | (1012) all_0_117_117 = e20
% 14.66/3.94 |
% 14.66/3.94 | Equations (1012) can reduce 997 to:
% 14.66/3.94 | (1589) ~ (e23 = e20)
% 14.66/3.94 |
% 14.66/3.94 | Simplifying 1589 yields:
% 14.66/3.94 | (254) ~ (e23 = e20)
% 14.66/3.94 |
% 14.66/3.94 | Equations (1012) can reduce 370 to:
% 14.66/3.95 | (1933) ~ (e21 = e20)
% 14.66/3.95 |
% 14.66/3.95 | Simplifying 1933 yields:
% 14.66/3.95 | (316) ~ (e21 = e20)
% 14.66/3.95 |
% 14.66/3.95 +-Applying beta-rule and splitting (121), into two cases.
% 14.66/3.95 |-Branch one:
% 14.66/3.95 | (962) all_0_117_117 = e23
% 14.66/3.95 |
% 14.66/3.95 | Combining equations (1012,962) yields a new equation:
% 14.66/3.95 | (954) e23 = e20
% 14.66/3.95 |
% 14.66/3.95 | Equations (954) can reduce 254 to:
% 14.66/3.95 | (384) $false
% 14.66/3.95 |
% 14.66/3.95 |-The branch is then unsatisfiable
% 14.66/3.95 |-Branch two:
% 14.66/3.95 | (997) ~ (all_0_117_117 = e23)
% 14.66/3.95 | (998) all_0_118_118 = e23 | all_0_120_120 = e23
% 14.66/3.95 |
% 14.66/3.95 +-Applying beta-rule and splitting (998), into two cases.
% 14.66/3.95 |-Branch one:
% 14.66/3.95 | (952) all_0_118_118 = e23
% 14.66/3.95 |
% 14.66/3.95 | Equations (952) can reduce 442 to:
% 14.66/3.95 | (22) ~ (e23 = e22)
% 14.66/3.95 |
% 14.66/3.95 | Instantiating formula (169) with e20, e23, e21, all_0_102_102 and discharging atoms op2(e20, e23) = all_0_102_102, op2(e20, e23) = e21, yields:
% 14.66/3.95 | (2070) all_0_102_102 = e21
% 14.66/3.95 |
% 14.66/3.95 | Instantiating formula (169) with e20, e22, e20, all_0_101_101 and discharging atoms op2(e20, e22) = all_0_101_101, op2(e20, e22) = e20, yields:
% 14.66/3.95 | (2071) all_0_101_101 = e20
% 14.66/3.95 |
% 14.66/3.95 | Instantiating formula (169) with e20, e21, e22, all_0_99_99 and discharging atoms op2(e20, e21) = all_0_99_99, op2(e20, e21) = e22, yields:
% 14.66/3.95 | (2072) all_0_99_99 = e22
% 14.66/3.95 |
% 14.66/3.95 | Instantiating formula (169) with e20, e20, e23, all_0_100_100 and discharging atoms op2(e20, e20) = all_0_100_100, op2(e20, e20) = e23, yields:
% 14.66/3.95 | (2073) all_0_100_100 = e23
% 14.66/3.95 |
% 14.66/3.95 +-Applying beta-rule and splitting (231), into two cases.
% 14.66/3.95 |-Branch one:
% 14.66/3.95 | (975) all_0_101_101 = e21
% 14.66/3.95 |
% 14.66/3.95 | Combining equations (2071,975) yields a new equation:
% 14.66/3.95 | (1929) e21 = e20
% 14.66/3.95 |
% 14.66/3.95 | Equations (1929) can reduce 316 to:
% 14.66/3.95 | (384) $false
% 14.66/3.95 |
% 14.66/3.95 |-The branch is then unsatisfiable
% 14.66/3.95 |-Branch two:
% 14.66/3.95 | (979) ~ (all_0_101_101 = e21)
% 14.66/3.95 | (980) all_0_99_99 = e23 | all_0_100_100 = e22 | all_0_102_102 = e20
% 14.66/3.95 |
% 14.66/3.95 | Equations (2071) can reduce 979 to:
% 14.66/3.95 | (1933) ~ (e21 = e20)
% 14.66/3.95 |
% 14.66/3.95 | Simplifying 1933 yields:
% 14.66/3.95 | (316) ~ (e21 = e20)
% 14.66/3.95 |
% 14.66/3.95 +-Applying beta-rule and splitting (980), into two cases.
% 14.66/3.95 |-Branch one:
% 14.66/3.95 | (982) all_0_100_100 = e22
% 14.66/3.95 |
% 14.66/3.95 | Combining equations (2073,982) yields a new equation:
% 14.66/3.95 | (1543) e23 = e22
% 14.66/3.95 |
% 14.66/3.95 | Simplifying 1543 yields:
% 14.66/3.95 | (430) e23 = e22
% 14.66/3.95 |
% 14.66/3.95 | Equations (430) can reduce 22 to:
% 14.66/3.95 | (384) $false
% 14.66/3.95 |
% 14.66/3.95 |-The branch is then unsatisfiable
% 14.66/3.95 |-Branch two:
% 14.66/3.95 | (985) ~ (all_0_100_100 = e22)
% 14.66/3.95 | (986) all_0_99_99 = e23 | all_0_102_102 = e20
% 14.66/3.95 |
% 14.66/3.95 | Equations (2073) can reduce 985 to:
% 14.66/3.95 | (22) ~ (e23 = e22)
% 14.66/3.95 |
% 14.66/3.95 +-Applying beta-rule and splitting (986), into two cases.
% 14.66/3.95 |-Branch one:
% 14.66/3.95 | (989) all_0_99_99 = e23
% 14.66/3.95 |
% 14.66/3.95 | Combining equations (2072,989) yields a new equation:
% 14.66/3.95 | (430) e23 = e22
% 14.66/3.95 |
% 14.66/3.95 | Equations (430) can reduce 22 to:
% 14.66/3.95 | (384) $false
% 14.66/3.95 |
% 14.66/3.95 |-The branch is then unsatisfiable
% 14.66/3.95 |-Branch two:
% 14.66/3.95 | (992) ~ (all_0_99_99 = e23)
% 14.66/3.95 | (993) all_0_102_102 = e20
% 14.66/3.95 |
% 14.66/3.95 | Combining equations (2070,993) yields a new equation:
% 14.66/3.95 | (1928) e21 = e20
% 14.66/3.95 |
% 14.66/3.95 | Simplifying 1928 yields:
% 14.66/3.95 | (1929) e21 = e20
% 14.66/3.95 |
% 14.66/3.95 | Equations (1929) can reduce 316 to:
% 14.66/3.95 | (384) $false
% 14.66/3.95 |
% 14.66/3.95 |-The branch is then unsatisfiable
% 14.66/3.95 |-Branch two:
% 14.66/3.95 | (956) ~ (all_0_118_118 = e23)
% 14.66/3.95 | (1003) all_0_120_120 = e23
% 14.66/3.95 |
% 14.66/3.95 | Combining equations (441,1003) yields a new equation:
% 14.66/3.95 | (430) e23 = e22
% 14.66/3.95 |
% 14.66/3.95 | Equations (430) can reduce 22 to:
% 14.66/3.95 | (384) $false
% 14.66/3.95 |
% 14.66/3.95 |-The branch is then unsatisfiable
% 14.66/3.96 |-Branch two:
% 14.66/3.96 | (1640) ~ (all_0_119_119 = e21)
% 14.66/3.96 | (383) all_0_123_123 = e21
% 14.66/3.96 |
% 14.66/3.96 | Combining equations (383,386) yields a new equation:
% 14.66/3.96 | (398) e22 = e21
% 14.66/3.96 |
% 14.66/3.96 | Equations (398) can reduce 229 to:
% 14.66/3.96 | (384) $false
% 14.66/3.96 |
% 14.66/3.96 |-The branch is then unsatisfiable
% 14.66/3.96 |-Branch two:
% 14.66/3.96 | (1530) ~ (all_0_115_115 = e22)
% 14.66/3.96 | (1547) all_0_116_116 = e22
% 14.66/3.96 |
% 14.66/3.96 | Combining equations (1547,1604) yields a new equation:
% 14.66/3.96 | (1659) e22 = e21
% 14.66/3.96 |
% 14.66/3.96 | Simplifying 1659 yields:
% 14.66/3.96 | (398) e22 = e21
% 14.66/3.96 |
% 14.66/3.96 | Equations (398) can reduce 229 to:
% 14.66/3.96 | (384) $false
% 14.66/3.96 |
% 14.66/3.96 |-The branch is then unsatisfiable
% 14.66/3.96 % SZS output end Proof for theBenchmark
% 14.66/3.96
% 14.66/3.96 3367ms
%------------------------------------------------------------------------------