TSTP Solution File: ALG126+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG126+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n029.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Thu Jul 14 15:35:15 EDT 2022
% Result : Theorem 6.80s 2.22s
% Output : Proof 12.42s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : ALG126+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n029.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 22:06:51 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.47/0.62 ____ _
% 0.47/0.62 ___ / __ \_____(_)___ ________ __________
% 0.47/0.62 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.47/0.62 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.47/0.62 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.47/0.62
% 0.47/0.62 A Theorem Prover for First-Order Logic
% 0.66/0.62 (ePrincess v.1.0)
% 0.66/0.62
% 0.66/0.62 (c) Philipp Rümmer, 2009-2015
% 0.66/0.62 (c) Peter Backeman, 2014-2015
% 0.66/0.62 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.66/0.62 Free software under GNU Lesser General Public License (LGPL).
% 0.66/0.62 Bug reports to peter@backeman.se
% 0.66/0.62
% 0.66/0.62 For more information, visit http://user.uu.se/~petba168/breu/
% 0.66/0.62
% 0.66/0.63 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.66/0.68 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.80/1.26 Prover 0: Preprocessing ...
% 5.27/1.84 Prover 0: Constructing countermodel ...
% 6.80/2.22 Prover 0: proved (1540ms)
% 6.80/2.22
% 6.80/2.22 No countermodel exists, formula is valid
% 6.80/2.22 % SZS status Theorem for theBenchmark
% 6.80/2.22
% 6.80/2.22 Generating proof ... found it (size 816)
% 11.30/3.23
% 11.30/3.23 % SZS output start Proof for theBenchmark
% 11.30/3.23 Assumed formulas after preprocessing and simplification:
% 11.30/3.23 | (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] : ( ~ (v21 = v20) & ~ (v21 = v19) & ~ (v21 = v18) & ~ (v21 = v15) & ~ (v21 = v13) & ~ (v21 = e22) & ~ (v20 = v19) & ~ (v20 = v17) & ~ (v20 = v14) & ~ (v20 = v12) & ~ (v20 = e22) & ~ (v19 = v16) & ~ (v19 = v11) & ~ (v19 = e22) & ~ (v19 = e20) & ~ (v18 = v17) & ~ (v18 = v16) & ~ (v18 = v15) & ~ (v18 = v13) & ~ (v18 = e20) & ~ (v17 = v16) & ~ (v17 = v14) & ~ (v17 = v12) & ~ (v17 = e20) & ~ (v16 = v11) & ~ (v16 = e20) & ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = e21) & ~ (v15 = e20) & ~ (v14 = v12) & ~ (v14 = e21) & ~ (v14 = e20) & ~ (v13 = v12) & ~ (v13 = v11) & ~ (v13 = e23) & ~ (v12 = v11) & ~ (v12 = e23) & ~ (v11 = e23) & ~ (v11 = e20) & ~ (v10 = v9) & ~ (v10 = v8) & ~ (v10 = v7) & ~ (v10 = v4) & ~ (v10 = v2) & ~ (v10 = e12) & ~ (v9 = v8) & ~ (v9 = v6) & ~ (v9 = v3) & ~ (v9 = v1) & ~ (v9 = e12) & ~ (v8 = v5) & ~ (v8 = v0) & ~ (v8 = e12) & ~ (v8 = e10) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v2) & ~ (v7 = e10) & ~ (v6 = v5) & ~ (v6 = v3) & ~ (v6 = v1) & ~ (v6 = e10) & ~ (v5 = v0) & ~ (v5 = e10) & ~ (v4 = v3) & ~ (v4 = v2) & ~ (v4 = e11) & ~ (v4 = e10) & ~ (v3 = v1) & ~ (v3 = e11) & ~ (v3 = e10) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v2 = e13) & ~ (v1 = v0) & ~ (v1 = e13) & ~ (v0 = e13) & ~ (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, v10) = v32 & op1(e13, v9) = v31 & op1(e13, v8) = v30 & op1(e13, e13) = v10 & op1(e13, e12) = v9 & op1(e13, e11) = v8 & op1(e13, e10) = e12 & op1(e12, v7) = v29 & op1(e12, v6) = v28 & op1(e12, v5) = v27 & op1(e12, e13) = v7 & op1(e12, e12) = v6 & op1(e12, e11) = v5 & op1(e12, e10) = e10 & op1(e11, v4) = v26 & op1(e11, v3) = v25 & op1(e11, e13) = v4 & op1(e11, e12) = v3 & op1(e11, e11) = e10 & op1(e11, e10) = e11 & op1(e10, v2) = v24 & op1(e10, v1) = v23 & op1(e10, v0) = v22 & op1(e10, e13) = v2 & op1(e10, e12) = v1 & op1(e10, e11) = v0 & op1(e10, e10) = e13 & h1(v10) = v70 & h1(v9) = v68 & h1(v8) = v66 & h1(v7) = v63 & h1(v6) = v61 & h1(v5) = v59 & h1(v4) = v56 & h1(v3) = v54 & h1(v2) = v52 & h1(v1) = v50 & h1(v0) = v49 & h1(e13) = v21 & h1(e12) = v44 & h1(e11) = e20 & h1(e10) = e23 & h2(v10) = v82 & h2(v9) = v81 & h2(v8) = v80 & h2(v7) = v79 & h2(v6) = v78 & h2(v5) = v77 & h2(v4) = v76 & h2(v3) = v75 & h2(v2) = v74 & h2(v1) = v73 & h2(v0) = v72 & h2(e13) = e23 & h2(e12) = e22 & h2(e11) = e21 & h2(e10) = e20 & h3(v10) = v107 & h3(v9) = v105 & h3(v8) = v103 & h3(v7) = v100 & h3(v6) = v98 & h3(v5) = v96 & h3(v4) = v93 & h3(v3) = v91 & h3(v2) = v88 & h3(v1) = v86 & h3(v0) = v84 & h3(e13) = v46 & h3(e12) = v45 & h3(e11) = e22 & h3(e10) = v17 & h4(v10) = v133 & h4(v9) = v131 & h4(v8) = v129 & h4(v7) = v126 & h4(v6) = v124 & h4(v5) = v122 & h4(v4) = v119 & h4(v3) = v117 & h4(v2) = v114 & h4(v1) = v112 & h4(v0) = v110 & h4(e13) = v48 & h4(e12) = v47 & h4(e11) = e23 & h4(e10) = v21 & op2(v48, v48) = v134 & op2(v48, v47) = v132 & op2(v48, v21) = v128 & op2(v48, v21) = v47 & op2(v48, e23) = v130 & op2(v47, v48) = v127 & op2(v47, v47) = v125 & op2(v47, v21) = v121 & op2(v47, e23) = v123 & op2(v46, v46) = v108 & op2(v46, v45) = v106 & op2(v46, v17) = v102 & op2(v46, v17) = v45 & op2(v46, e22) = v104 & op2(v45, v46) = v101 & op2(v45, v45) = v99 & op2(v45, v17) = v95 & op2(v45, e22) = v97 & op2(v44, v44) = v62 & op2(v44, v21) = v64 & op2(v44, e23) = v58 & op2(v44, e20) = v60 & op2(v21, v48) = v115 & op2(v21, v47) = v113 & op2(v21, v44) = v69 & op2(v21, v21) = v109 & op2(v21, v21) = v71 & op2(v21, v21) = v48 & op2(v21, e23) = v111 & op2(v21, e23) = v65 & op2(v21, e23) = v44 & op2(v21, e20) = v67 & op2(v17, v46) = v89 & op2(v17, v45) = v87 & op2(v17, v17) = v83 & op2(v17, v17) = v46 & op2(v17, e22) = v85 & op2(e23, v48) = v120 & op2(e23, v47) = v118 & op2(e23, v44) = v51 & op2(e23, v21) = v116 & op2(e23, v21) = v53 & op2(e23, v21) = v43 & op2(e23, v20) = v42 & op2(e23, v19) = v41 & op2(e23, e23) = v21 & op2(e23, e22) = v20 & op2(e23, e21) = v19 & op2(e23, e20) = e22 & op2(e22, v46) = v94 & op2(e22, v45) = v92 & op2(e22, v18) = v40 & op2(e22, v17) = v90 & op2(e22, v17) = v39 & op2(e22, v16) = v38 & op2(e22, e23) = v18 & op2(e22, e22) = v17 & op2(e22, e21) = v16 & op2(e22, e20) = e20 & op2(e21, v15) = v37 & op2(e21, v14) = v36 & op2(e21, e23) = v15 & op2(e21, e22) = v14 & op2(e21, e21) = e20 & op2(e21, e20) = e21 & op2(e20, v44) = v55 & op2(e20, v21) = v57 & op2(e20, v13) = v35 & op2(e20, v12) = v34 & op2(e20, v11) = v33 & op2(e20, e23) = v13 & op2(e20, e22) = v12 & op2(e20, e21) = v11 & op2(e20, e20) = e23 & ! [v135] : ! [v136] : ! [v137] : ! [v138] : (v136 = v135 | ~ (op1(v138, v137) = v136) | ~ (op1(v138, v137) = v135)) & ! [v135] : ! [v136] : ! [v137] : ! [v138] : (v136 = v135 | ~ (op2(v138, v137) = v136) | ~ (op2(v138, v137) = v135)) & ! [v135] : ! [v136] : ! [v137] : (v136 = v135 | ~ (h1(v137) = v136) | ~ (h1(v137) = v135)) & ! [v135] : ! [v136] : ! [v137] : (v136 = v135 | ~ (h2(v137) = v136) | ~ (h2(v137) = v135)) & ! [v135] : ! [v136] : ! [v137] : (v136 = v135 | ~ (h3(v137) = v136) | ~ (h3(v137) = v135)) & ! [v135] : ! [v136] : ! [v137] : (v136 = v135 | ~ (h4(v137) = v136) | ~ (h4(v137) = v135)) & ( ~ (v134 = v133) | ~ (v132 = v131) | ~ (v130 = v129) | ~ (v128 = v47) | ~ (v127 = v126) | ~ (v125 = v124) | ~ (v123 = v122) | ~ (v121 = v21) | ~ (v120 = v119) | ~ (v118 = v117) | ~ (v116 = e23) | ~ (v115 = v114) | ~ (v113 = v112) | ~ (v111 = v110) | ~ (v109 = v48) | ( ~ (v48 = e22) & ~ (v47 = e22)) | ( ~ (v48 = e21) & ~ (v47 = e21) & ~ (v21 = e21)) | ( ~ (v48 = e20) & ~ (v47 = e20) & ~ (v21 = e20))) & ( ~ (v108 = v107) | ~ (v106 = v105) | ~ (v104 = v103) | ~ (v102 = v45) | ~ (v101 = v100) | ~ (v99 = v98) | ~ (v97 = v96) | ~ (v95 = v17) | ~ (v94 = v93) | ~ (v92 = v91) | ~ (v90 = e22) | ~ (v89 = v88) | ~ (v87 = v86) | ~ (v85 = v84) | ~ (v83 = v46) | ( ~ (v46 = e23) & ~ (v45 = e23) & ~ (v17 = e23)) | ( ~ (v46 = e21) & ~ (v45 = e21) & ~ (v17 = e21)) | ( ~ (v46 = e20) & ~ (v45 = e20))) & ( ~ (v82 = v21) | ~ (v81 = v20) | ~ (v80 = v19) | ~ (v79 = v18) | ~ (v78 = v17) | ~ (v77 = v16) | ~ (v76 = v15) | ~ (v75 = v14) | ~ (v74 = v13) | ~ (v73 = v12) | ~ (v72 = v11)) & ( ~ (v71 = v70) | ~ (v69 = v68) | ~ (v67 = v66) | ~ (v65 = e22) | ~ (v64 = v63) | ~ (v62 = v61) | ~ (v60 = v59) | ~ (v58 = e23) | ~ (v57 = v56) | ~ (v55 = v54) | ~ (v53 = v52) | ~ (v51 = v50) | ~ (v49 = e22) | ~ (v44 = e22) | ~ (v21 = e21) | ~ (v13 = e20)) & (v21 = e23 | v21 = e21 | v21 = e20) & (v21 = e23 | v20 = e23 | v19 = e23) & (v21 = e23 | v18 = e23 | v15 = e23) & (v21 = e21 | v20 = e21 | v19 = e21) & (v21 = e21 | v18 = e21 | v13 = e21) & (v21 = e20 | v20 = e20) & (v21 = e20 | v13 = e20) & (v20 = e23 | v20 = e21 | v20 = e20) & (v20 = e23 | v17 = e23 | v14 = e23) & (v20 = e21 | v17 = e21 | v12 = e21) & (v20 = e20 | v12 = e20) & (v19 = e23 | v19 = e21) & (v19 = e23 | v16 = e23) & (v19 = e21 | v16 = e21 | v11 = e21) & (v18 = e23 | v18 = e22 | v18 = e21) & (v18 = e23 | v17 = e23 | v16 = e23) & (v18 = e22 | v17 = e22 | v16 = e22) & (v18 = e22 | v15 = e22 | v13 = e22) & (v18 = e21 | v17 = e21 | v16 = e21) & (v17 = e23 | v17 = e22 | v17 = e21) & (v17 = e22 | v14 = e22 | v12 = e22) & (v16 = e23 | v16 = e22 | v16 = e21) & (v16 = e22 | v11 = e22) & (v15 = e23 | v15 = e22) & (v15 = e23 | v14 = e23) & (v15 = e22 | v14 = e22) & (v14 = e23 | v14 = e22) & (v13 = e22 | v13 = e21 | v13 = e20) & (v13 = e22 | v12 = e22 | v11 = e22) & (v13 = e21 | v12 = e21 | v11 = e21) & (v13 = e20 | v12 = e20) & (v12 = e22 | v12 = e21 | v12 = e20) & (v11 = e22 | v11 = e21) & (v10 = e13 | v10 = e11 | v10 = e10) & (v10 = e13 | v9 = e13 | v8 = e13) & (v10 = e13 | v7 = e13 | v4 = e13) & (v10 = e11 | v9 = e11 | v8 = e11) & (v10 = e11 | v7 = e11 | v2 = e11) & (v10 = e10 | v9 = e10) & (v10 = e10 | v2 = e10) & (v9 = e13 | v9 = e11 | v9 = e10) & (v9 = e13 | v6 = e13 | v3 = e13) & (v9 = e11 | v6 = e11 | v1 = e11) & (v9 = e10 | v1 = e10) & (v8 = e13 | v8 = e11) & (v8 = e13 | v5 = e13) & (v8 = e11 | v5 = e11 | v0 = e11) & (v7 = e13 | v7 = e12 | v7 = e11) & (v7 = e13 | v6 = e13 | v5 = e13) & (v7 = e12 | v6 = e12 | v5 = e12) & (v7 = e12 | v4 = e12 | v2 = e12) & (v7 = e11 | v6 = e11 | v5 = e11) & (v6 = e13 | v6 = e12 | v6 = e11) & (v6 = e12 | v3 = e12 | v1 = e12) & (v5 = e13 | v5 = e12 | v5 = e11) & (v5 = e12 | v0 = e12) & (v4 = e13 | v4 = e12) & (v4 = e13 | v3 = e13) & (v4 = e12 | v3 = e12) & (v3 = e13 | v3 = e12) & (v2 = e12 | v2 = e11 | v2 = e10) & (v2 = e12 | v1 = e12 | v0 = e12) & (v2 = e11 | v1 = e11 | v0 = e11) & (v2 = e10 | v1 = e10) & (v1 = e12 | v1 = e11 | v1 = e10) & (v0 = e12 | v0 = e11) & ((v43 = e23 & v42 = e22 & v41 = e21 & v20 = e20 & v13 = e20 & ( ~ (v17 = e23) | v18 = e22)) | (v40 = e23 & v39 = e22 & v38 = e21) | (v37 = e23 & v36 = e22 & ( ~ (v21 = e21) | v19 = e23) & ( ~ (v17 = e21) | v16 = e22)) | (v35 = e23 & v34 = e22 & v33 = e21 & v13 = e20 & ~ (v21 = e20))) & ((v32 = e13 & v31 = e12 & v30 = e11 & v9 = e10 & v2 = e10 & ( ~ (v6 = e13) | v7 = e12)) | (v29 = e13 & v28 = e12 & v27 = e11) | (v26 = e13 & v25 = e12 & ( ~ (v10 = e11) | v8 = e13) & ( ~ (v6 = e11) | v5 = e12)) | (v24 = e13 & v23 = e12 & v22 = e11 & v2 = e10 & ~ (v10 = e10))) & ((v20 = e23 & v18 = e23 & ~ (v17 = e22) & ( ~ (v17 = e21) | ~ (v16 = e22))) | (v12 = e20 & ~ (v17 = e22) & ( ~ (v18 = e22) | ~ (v17 = e23)) & ( ~ (v17 = e21) | ~ (v16 = e22))) | (v11 = e21 & ~ (v13 = e20))) & ((v9 = e13 & v7 = e13 & ~ (v6 = e12) & ( ~ (v6 = e11) | ~ (v5 = e12))) | (v1 = e10 & ~ (v6 = e12) & ( ~ (v7 = e12) | ~ (v6 = e13)) & ( ~ (v6 = e11) | ~ (v5 = e12))) | (v0 = e11 & ~ (v2 = e10))))
% 11.30/3.30 | 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 yields:
% 11.30/3.30 | (1) ~ (all_0_113_113 = all_0_114_114) & ~ (all_0_113_113 = all_0_115_115) & ~ (all_0_113_113 = all_0_116_116) & ~ (all_0_113_113 = all_0_119_119) & ~ (all_0_113_113 = all_0_121_121) & ~ (all_0_113_113 = e22) & ~ (all_0_114_114 = all_0_115_115) & ~ (all_0_114_114 = all_0_117_117) & ~ (all_0_114_114 = all_0_120_120) & ~ (all_0_114_114 = all_0_122_122) & ~ (all_0_114_114 = e22) & ~ (all_0_115_115 = all_0_118_118) & ~ (all_0_115_115 = all_0_123_123) & ~ (all_0_115_115 = e22) & ~ (all_0_115_115 = e20) & ~ (all_0_116_116 = all_0_117_117) & ~ (all_0_116_116 = all_0_118_118) & ~ (all_0_116_116 = all_0_119_119) & ~ (all_0_116_116 = all_0_121_121) & ~ (all_0_116_116 = e20) & ~ (all_0_117_117 = all_0_118_118) & ~ (all_0_117_117 = all_0_120_120) & ~ (all_0_117_117 = all_0_122_122) & ~ (all_0_117_117 = e20) & ~ (all_0_118_118 = all_0_123_123) & ~ (all_0_118_118 = e20) & ~ (all_0_119_119 = all_0_120_120) & ~ (all_0_119_119 = all_0_121_121) & ~ (all_0_119_119 = e21) & ~ (all_0_119_119 = e20) & ~ (all_0_120_120 = all_0_122_122) & ~ (all_0_120_120 = e21) & ~ (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 = e23) & ~ (all_0_122_122 = all_0_123_123) & ~ (all_0_122_122 = e23) & ~ (all_0_123_123 = e23) & ~ (all_0_123_123 = e20) & ~ (all_0_124_124 = all_0_125_125) & ~ (all_0_124_124 = all_0_126_126) & ~ (all_0_124_124 = all_0_127_127) & ~ (all_0_124_124 = all_0_130_130) & ~ (all_0_124_124 = all_0_132_132) & ~ (all_0_124_124 = e12) & ~ (all_0_125_125 = all_0_126_126) & ~ (all_0_125_125 = all_0_128_128) & ~ (all_0_125_125 = all_0_131_131) & ~ (all_0_125_125 = all_0_133_133) & ~ (all_0_125_125 = e12) & ~ (all_0_126_126 = all_0_129_129) & ~ (all_0_126_126 = all_0_134_134) & ~ (all_0_126_126 = e12) & ~ (all_0_126_126 = e10) & ~ (all_0_127_127 = all_0_128_128) & ~ (all_0_127_127 = all_0_129_129) & ~ (all_0_127_127 = all_0_130_130) & ~ (all_0_127_127 = all_0_132_132) & ~ (all_0_127_127 = e10) & ~ (all_0_128_128 = all_0_129_129) & ~ (all_0_128_128 = all_0_131_131) & ~ (all_0_128_128 = all_0_133_133) & ~ (all_0_128_128 = e10) & ~ (all_0_129_129 = all_0_134_134) & ~ (all_0_129_129 = e10) & ~ (all_0_130_130 = all_0_131_131) & ~ (all_0_130_130 = all_0_132_132) & ~ (all_0_130_130 = e11) & ~ (all_0_130_130 = e10) & ~ (all_0_131_131 = all_0_133_133) & ~ (all_0_131_131 = e11) & ~ (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 = e13) & ~ (all_0_133_133 = all_0_134_134) & ~ (all_0_133_133 = e13) & ~ (all_0_134_134 = e13) & ~ (all_0_134_134 = 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, all_0_124_124) = all_0_102_102 & op1(e13, all_0_125_125) = all_0_103_103 & op1(e13, all_0_126_126) = all_0_104_104 & op1(e13, e13) = all_0_124_124 & op1(e13, e12) = all_0_125_125 & op1(e13, e11) = all_0_126_126 & op1(e13, e10) = e12 & op1(e12, all_0_127_127) = all_0_105_105 & op1(e12, all_0_128_128) = all_0_106_106 & op1(e12, all_0_129_129) = all_0_107_107 & op1(e12, e13) = all_0_127_127 & op1(e12, e12) = all_0_128_128 & op1(e12, e11) = all_0_129_129 & op1(e12, e10) = e10 & 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_130_130 & op1(e11, e12) = all_0_131_131 & op1(e11, e11) = e10 & op1(e11, e10) = e11 & 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, e13) = all_0_132_132 & op1(e10, e12) = all_0_133_133 & op1(e10, e11) = all_0_134_134 & op1(e10, e10) = e13 & h1(all_0_124_124) = all_0_64_64 & h1(all_0_125_125) = all_0_66_66 & h1(all_0_126_126) = all_0_68_68 & h1(all_0_127_127) = all_0_71_71 & h1(all_0_128_128) = all_0_73_73 & h1(all_0_129_129) = all_0_75_75 & 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_85_85 & h1(e13) = all_0_113_113 & h1(e12) = all_0_90_90 & h1(e11) = e20 & h1(e10) = e23 & h2(all_0_124_124) = all_0_52_52 & h2(all_0_125_125) = all_0_53_53 & h2(all_0_126_126) = all_0_54_54 & h2(all_0_127_127) = all_0_55_55 & h2(all_0_128_128) = all_0_56_56 & h2(all_0_129_129) = all_0_57_57 & h2(all_0_130_130) = all_0_58_58 & h2(all_0_131_131) = all_0_59_59 & h2(all_0_132_132) = all_0_60_60 & h2(all_0_133_133) = all_0_61_61 & h2(all_0_134_134) = all_0_62_62 & h2(e13) = e23 & h2(e12) = e22 & h2(e11) = e21 & h2(e10) = e20 & h3(all_0_124_124) = all_0_27_27 & h3(all_0_125_125) = all_0_29_29 & h3(all_0_126_126) = all_0_31_31 & h3(all_0_127_127) = all_0_34_34 & h3(all_0_128_128) = all_0_36_36 & h3(all_0_129_129) = all_0_38_38 & h3(all_0_130_130) = all_0_41_41 & h3(all_0_131_131) = all_0_43_43 & h3(all_0_132_132) = all_0_46_46 & h3(all_0_133_133) = all_0_48_48 & h3(all_0_134_134) = all_0_50_50 & h3(e13) = all_0_88_88 & h3(e12) = all_0_89_89 & h3(e11) = e22 & h3(e10) = all_0_117_117 & h4(all_0_124_124) = all_0_1_1 & h4(all_0_125_125) = all_0_3_3 & h4(all_0_126_126) = all_0_5_5 & h4(all_0_127_127) = all_0_8_8 & h4(all_0_128_128) = all_0_10_10 & h4(all_0_129_129) = all_0_12_12 & h4(all_0_130_130) = all_0_15_15 & h4(all_0_131_131) = all_0_17_17 & h4(all_0_132_132) = all_0_20_20 & h4(all_0_133_133) = all_0_22_22 & h4(all_0_134_134) = all_0_24_24 & h4(e13) = all_0_86_86 & h4(e12) = all_0_87_87 & h4(e11) = e23 & h4(e10) = all_0_113_113 & op2(all_0_86_86, all_0_86_86) = all_0_0_0 & op2(all_0_86_86, all_0_87_87) = all_0_2_2 & op2(all_0_86_86, all_0_113_113) = all_0_6_6 & op2(all_0_86_86, all_0_113_113) = all_0_87_87 & op2(all_0_86_86, e23) = all_0_4_4 & op2(all_0_87_87, all_0_86_86) = all_0_7_7 & op2(all_0_87_87, all_0_87_87) = all_0_9_9 & op2(all_0_87_87, all_0_113_113) = all_0_13_13 & op2(all_0_87_87, e23) = all_0_11_11 & op2(all_0_88_88, all_0_88_88) = all_0_26_26 & op2(all_0_88_88, all_0_89_89) = all_0_28_28 & op2(all_0_88_88, all_0_117_117) = all_0_32_32 & op2(all_0_88_88, all_0_117_117) = all_0_89_89 & op2(all_0_88_88, e22) = all_0_30_30 & op2(all_0_89_89, all_0_88_88) = all_0_33_33 & op2(all_0_89_89, all_0_89_89) = all_0_35_35 & op2(all_0_89_89, all_0_117_117) = all_0_39_39 & op2(all_0_89_89, e22) = all_0_37_37 & op2(all_0_90_90, all_0_90_90) = all_0_72_72 & op2(all_0_90_90, all_0_113_113) = all_0_70_70 & op2(all_0_90_90, e23) = all_0_76_76 & op2(all_0_90_90, e20) = all_0_74_74 & op2(all_0_113_113, all_0_86_86) = all_0_19_19 & op2(all_0_113_113, all_0_87_87) = all_0_21_21 & op2(all_0_113_113, all_0_90_90) = all_0_65_65 & op2(all_0_113_113, all_0_113_113) = all_0_25_25 & op2(all_0_113_113, all_0_113_113) = all_0_63_63 & op2(all_0_113_113, all_0_113_113) = all_0_86_86 & op2(all_0_113_113, e23) = all_0_23_23 & op2(all_0_113_113, e23) = all_0_69_69 & op2(all_0_113_113, e23) = all_0_90_90 & op2(all_0_113_113, e20) = all_0_67_67 & op2(all_0_117_117, all_0_88_88) = all_0_45_45 & op2(all_0_117_117, all_0_89_89) = all_0_47_47 & op2(all_0_117_117, all_0_117_117) = all_0_51_51 & op2(all_0_117_117, all_0_117_117) = all_0_88_88 & op2(all_0_117_117, e22) = all_0_49_49 & op2(e23, all_0_86_86) = all_0_14_14 & op2(e23, all_0_87_87) = all_0_16_16 & op2(e23, all_0_90_90) = all_0_83_83 & op2(e23, all_0_113_113) = all_0_18_18 & op2(e23, all_0_113_113) = all_0_81_81 & op2(e23, all_0_113_113) = all_0_91_91 & op2(e23, all_0_114_114) = all_0_92_92 & op2(e23, all_0_115_115) = all_0_93_93 & op2(e23, e23) = all_0_113_113 & op2(e23, e22) = all_0_114_114 & op2(e23, e21) = all_0_115_115 & op2(e23, e20) = e22 & op2(e22, all_0_88_88) = all_0_40_40 & op2(e22, all_0_89_89) = all_0_42_42 & op2(e22, all_0_116_116) = all_0_94_94 & op2(e22, all_0_117_117) = all_0_44_44 & op2(e22, all_0_117_117) = all_0_95_95 & op2(e22, all_0_118_118) = all_0_96_96 & op2(e22, e23) = all_0_116_116 & op2(e22, e22) = all_0_117_117 & op2(e22, e21) = all_0_118_118 & op2(e22, e20) = e20 & 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_119_119 & op2(e21, e22) = all_0_120_120 & op2(e21, e21) = e20 & op2(e21, e20) = e21 & op2(e20, all_0_90_90) = all_0_79_79 & op2(e20, all_0_113_113) = all_0_77_77 & 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, e23) = all_0_121_121 & op2(e20, e22) = all_0_122_122 & op2(e20, e21) = all_0_123_123 & op2(e20, e20) = e23 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0)) & ( ~ (all_0_0_0 = all_0_1_1) | ~ (all_0_2_2 = all_0_3_3) | ~ (all_0_4_4 = all_0_5_5) | ~ (all_0_6_6 = all_0_87_87) | ~ (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_113_113) | ~ (all_0_14_14 = all_0_15_15) | ~ (all_0_16_16 = all_0_17_17) | ~ (all_0_18_18 = e23) | ~ (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_86_86) | ( ~ (all_0_86_86 = e22) & ~ (all_0_87_87 = e22)) | ( ~ (all_0_86_86 = e21) & ~ (all_0_87_87 = e21) & ~ (all_0_113_113 = e21)) | ( ~ (all_0_86_86 = e20) & ~ (all_0_87_87 = e20) & ~ (all_0_113_113 = e20))) & ( ~ (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_89_89) | ~ (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_117_117) | ~ (all_0_40_40 = all_0_41_41) | ~ (all_0_42_42 = all_0_43_43) | ~ (all_0_44_44 = e22) | ~ (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_88_88) | ( ~ (all_0_88_88 = e23) & ~ (all_0_89_89 = e23) & ~ (all_0_117_117 = e23)) | ( ~ (all_0_88_88 = e21) & ~ (all_0_89_89 = e21) & ~ (all_0_117_117 = e21)) | ( ~ (all_0_88_88 = e20) & ~ (all_0_89_89 = e20))) & ( ~ (all_0_52_52 = all_0_113_113) | ~ (all_0_53_53 = all_0_114_114) | ~ (all_0_54_54 = all_0_115_115) | ~ (all_0_55_55 = all_0_116_116) | ~ (all_0_56_56 = all_0_117_117) | ~ (all_0_57_57 = all_0_118_118) | ~ (all_0_58_58 = all_0_119_119) | ~ (all_0_59_59 = all_0_120_120) | ~ (all_0_60_60 = all_0_121_121) | ~ (all_0_61_61 = all_0_122_122) | ~ (all_0_62_62 = all_0_123_123)) & ( ~ (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 = e22) | ~ (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 = e23) | ~ (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 = e22) | ~ (all_0_90_90 = e22) | ~ (all_0_113_113 = e21) | ~ (all_0_121_121 = e20)) & (all_0_113_113 = e23 | all_0_113_113 = e21 | all_0_113_113 = e20) & (all_0_113_113 = e23 | all_0_114_114 = e23 | all_0_115_115 = e23) & (all_0_113_113 = e23 | all_0_116_116 = e23 | all_0_119_119 = e23) & (all_0_113_113 = e21 | all_0_114_114 = e21 | all_0_115_115 = e21) & (all_0_113_113 = e21 | all_0_116_116 = e21 | all_0_121_121 = e21) & (all_0_113_113 = e20 | all_0_114_114 = e20) & (all_0_113_113 = e20 | all_0_121_121 = e20) & (all_0_114_114 = e23 | all_0_114_114 = e21 | all_0_114_114 = e20) & (all_0_114_114 = e23 | all_0_117_117 = e23 | all_0_120_120 = e23) & (all_0_114_114 = e21 | all_0_117_117 = e21 | all_0_122_122 = e21) & (all_0_114_114 = e20 | all_0_122_122 = e20) & (all_0_115_115 = e23 | all_0_115_115 = e21) & (all_0_115_115 = e23 | all_0_118_118 = e23) & (all_0_115_115 = e21 | all_0_118_118 = e21 | all_0_123_123 = e21) & (all_0_116_116 = e23 | all_0_116_116 = e22 | all_0_116_116 = e21) & (all_0_116_116 = e23 | all_0_117_117 = e23 | all_0_118_118 = e23) & (all_0_116_116 = e22 | all_0_117_117 = e22 | all_0_118_118 = e22) & (all_0_116_116 = e22 | all_0_119_119 = e22 | all_0_121_121 = e22) & (all_0_116_116 = e21 | all_0_117_117 = e21 | all_0_118_118 = e21) & (all_0_117_117 = e23 | all_0_117_117 = e22 | all_0_117_117 = e21) & (all_0_117_117 = e22 | all_0_120_120 = e22 | all_0_122_122 = e22) & (all_0_118_118 = e23 | all_0_118_118 = e22 | all_0_118_118 = e21) & (all_0_118_118 = e22 | all_0_123_123 = e22) & (all_0_119_119 = e23 | all_0_119_119 = e22) & (all_0_119_119 = e23 | all_0_120_120 = e23) & (all_0_119_119 = e22 | all_0_120_120 = e22) & (all_0_120_120 = e23 | all_0_120_120 = e22) & (all_0_121_121 = e22 | all_0_121_121 = e21 | all_0_121_121 = e20) & (all_0_121_121 = e22 | all_0_122_122 = e22 | all_0_123_123 = e22) & (all_0_121_121 = e21 | all_0_122_122 = e21 | all_0_123_123 = e21) & (all_0_121_121 = e20 | all_0_122_122 = e20) & (all_0_122_122 = e22 | all_0_122_122 = e21 | all_0_122_122 = e20) & (all_0_123_123 = e22 | all_0_123_123 = e21) & (all_0_124_124 = e13 | all_0_124_124 = e11 | all_0_124_124 = e10) & (all_0_124_124 = e13 | all_0_125_125 = e13 | all_0_126_126 = e13) & (all_0_124_124 = e13 | all_0_127_127 = e13 | all_0_130_130 = e13) & (all_0_124_124 = e11 | all_0_125_125 = e11 | all_0_126_126 = e11) & (all_0_124_124 = e11 | all_0_127_127 = e11 | all_0_132_132 = e11) & (all_0_124_124 = e10 | all_0_125_125 = e10) & (all_0_124_124 = e10 | all_0_132_132 = e10) & (all_0_125_125 = e13 | all_0_125_125 = e11 | all_0_125_125 = e10) & (all_0_125_125 = e13 | all_0_128_128 = e13 | all_0_131_131 = e13) & (all_0_125_125 = e11 | all_0_128_128 = e11 | all_0_133_133 = e11) & (all_0_125_125 = e10 | all_0_133_133 = e10) & (all_0_126_126 = e13 | all_0_126_126 = e11) & (all_0_126_126 = e13 | all_0_129_129 = e13) & (all_0_126_126 = e11 | all_0_129_129 = e11 | all_0_134_134 = e11) & (all_0_127_127 = e13 | all_0_127_127 = e12 | all_0_127_127 = e11) & (all_0_127_127 = e13 | all_0_128_128 = e13 | all_0_129_129 = e13) & (all_0_127_127 = e12 | all_0_128_128 = e12 | all_0_129_129 = e12) & (all_0_127_127 = e12 | all_0_130_130 = e12 | all_0_132_132 = e12) & (all_0_127_127 = e11 | all_0_128_128 = e11 | all_0_129_129 = e11) & (all_0_128_128 = e13 | all_0_128_128 = e12 | all_0_128_128 = e11) & (all_0_128_128 = e12 | all_0_131_131 = e12 | all_0_133_133 = e12) & (all_0_129_129 = e13 | all_0_129_129 = e12 | all_0_129_129 = e11) & (all_0_129_129 = e12 | all_0_134_134 = e12) & (all_0_130_130 = e13 | all_0_130_130 = e12) & (all_0_130_130 = e13 | all_0_131_131 = e13) & (all_0_130_130 = e12 | all_0_131_131 = e12) & (all_0_131_131 = e13 | all_0_131_131 = e12) & (all_0_132_132 = e12 | all_0_132_132 = e11 | all_0_132_132 = e10) & (all_0_132_132 = e12 | all_0_133_133 = e12 | all_0_134_134 = e12) & (all_0_132_132 = e11 | all_0_133_133 = e11 | all_0_134_134 = e11) & (all_0_132_132 = e10 | all_0_133_133 = e10) & (all_0_133_133 = e12 | all_0_133_133 = e11 | all_0_133_133 = e10) & (all_0_134_134 = e12 | all_0_134_134 = e11) & ((all_0_91_91 = e23 & all_0_92_92 = e22 & all_0_93_93 = e21 & all_0_114_114 = e20 & all_0_121_121 = e20 & ( ~ (all_0_117_117 = e23) | all_0_116_116 = e22)) | (all_0_94_94 = e23 & all_0_95_95 = e22 & all_0_96_96 = e21) | (all_0_97_97 = e23 & all_0_98_98 = e22 & ( ~ (all_0_113_113 = e21) | all_0_115_115 = e23) & ( ~ (all_0_117_117 = e21) | all_0_118_118 = e22)) | (all_0_99_99 = e23 & all_0_100_100 = e22 & all_0_101_101 = e21 & all_0_121_121 = e20 & ~ (all_0_113_113 = e20))) & ((all_0_102_102 = e13 & all_0_103_103 = e12 & all_0_104_104 = e11 & all_0_125_125 = e10 & all_0_132_132 = e10 & ( ~ (all_0_128_128 = e13) | all_0_127_127 = e12)) | (all_0_105_105 = e13 & all_0_106_106 = e12 & all_0_107_107 = e11) | (all_0_108_108 = e13 & all_0_109_109 = e12 & ( ~ (all_0_124_124 = e11) | all_0_126_126 = e13) & ( ~ (all_0_128_128 = e11) | all_0_129_129 = e12)) | (all_0_110_110 = e13 & all_0_111_111 = e12 & all_0_112_112 = e11 & all_0_132_132 = e10 & ~ (all_0_124_124 = e10))) & ((all_0_114_114 = e23 & all_0_116_116 = e23 & ~ (all_0_117_117 = e22) & ( ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22))) | (all_0_122_122 = e20 & ~ (all_0_117_117 = e22) & ( ~ (all_0_116_116 = e22) | ~ (all_0_117_117 = e23)) & ( ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22))) | (all_0_123_123 = e21 & ~ (all_0_121_121 = e20))) & ((all_0_125_125 = e13 & all_0_127_127 = e13 & ~ (all_0_128_128 = e12) & ( ~ (all_0_128_128 = e11) | ~ (all_0_129_129 = e12))) | (all_0_133_133 = e10 & ~ (all_0_128_128 = e12) & ( ~ (all_0_127_127 = e12) | ~ (all_0_128_128 = e13)) & ( ~ (all_0_128_128 = e11) | ~ (all_0_129_129 = e12))) | (all_0_134_134 = e11 & ~ (all_0_132_132 = e10)))
% 11.30/3.31 |
% 11.30/3.31 | Applying alpha-rule on (1) yields:
% 11.30/3.31 | (2) ~ (all_0_120_120 = e21)
% 11.30/3.31 | (3) ~ (all_0_126_126 = all_0_129_129)
% 11.30/3.31 | (4) op2(e21, e20) = e21
% 11.30/3.31 | (5) all_0_127_127 = e13 | all_0_128_128 = e13 | all_0_129_129 = e13
% 11.30/3.32 | (6) h1(e11) = e20
% 11.30/3.32 | (7) all_0_134_134 = e12 | all_0_134_134 = e11
% 11.30/3.32 | (8) h2(all_0_132_132) = all_0_60_60
% 11.30/3.32 | (9) all_0_125_125 = e13 | all_0_125_125 = e11 | all_0_125_125 = e10
% 11.30/3.32 | (10) op1(e12, all_0_129_129) = all_0_107_107
% 11.30/3.32 | (11) h2(all_0_124_124) = all_0_52_52
% 11.30/3.32 | (12) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 11.30/3.32 | (13) ~ (all_0_125_125 = all_0_126_126)
% 11.30/3.32 | (14) all_0_124_124 = e11 | all_0_125_125 = e11 | all_0_126_126 = e11
% 11.30/3.32 | (15) op2(e20, all_0_121_121) = all_0_99_99
% 11.30/3.32 | (16) ~ (all_0_123_123 = e20)
% 11.30/3.32 | (17) op2(all_0_113_113, all_0_86_86) = all_0_19_19
% 11.30/3.32 | (18) op2(e21, all_0_120_120) = all_0_98_98
% 11.30/3.32 | (19) op2(all_0_87_87, all_0_86_86) = all_0_7_7
% 11.30/3.32 | (20) op2(e23, all_0_113_113) = all_0_81_81
% 11.30/3.32 | (21) all_0_116_116 = e23 | all_0_117_117 = e23 | all_0_118_118 = e23
% 11.30/3.32 | (22) ~ (e23 = e22)
% 11.30/3.32 | (23) h1(all_0_128_128) = all_0_73_73
% 11.30/3.32 | (24) all_0_125_125 = e13 | all_0_128_128 = e13 | all_0_131_131 = e13
% 11.30/3.32 | (25) ~ (all_0_133_133 = e13)
% 11.30/3.32 | (26) h4(e13) = all_0_86_86
% 11.30/3.32 | (27) ~ (all_0_131_131 = all_0_133_133)
% 11.30/3.32 | (28) ~ (e21 = e10)
% 11.30/3.32 | (29) h1(all_0_125_125) = all_0_66_66
% 11.30/3.32 | (30) h1(all_0_131_131) = all_0_80_80
% 11.30/3.32 | (31) op1(e13, all_0_124_124) = all_0_102_102
% 11.30/3.32 | (32) ~ (all_0_116_116 = e20)
% 11.30/3.32 | (33) all_0_121_121 = e22 | all_0_121_121 = e21 | all_0_121_121 = e20
% 11.30/3.32 | (34) op2(all_0_86_86, all_0_113_113) = all_0_87_87
% 11.30/3.32 | (35) h2(all_0_125_125) = all_0_53_53
% 11.30/3.32 | (36) (all_0_114_114 = e23 & all_0_116_116 = e23 & ~ (all_0_117_117 = e22) & ( ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22))) | (all_0_122_122 = e20 & ~ (all_0_117_117 = e22) & ( ~ (all_0_116_116 = e22) | ~ (all_0_117_117 = e23)) & ( ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22))) | (all_0_123_123 = e21 & ~ (all_0_121_121 = e20))
% 11.30/3.32 | (37) all_0_130_130 = e13 | all_0_131_131 = e13
% 11.30/3.32 | (38) ~ (all_0_125_125 = e12)
% 11.30/3.32 | (39) ~ (e22 = e11)
% 11.30/3.32 | (40) op2(all_0_90_90, all_0_113_113) = all_0_70_70
% 11.30/3.32 | (41) op2(all_0_88_88, all_0_117_117) = all_0_32_32
% 11.30/3.32 | (42) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0))
% 11.30/3.32 | (43) op1(e12, e10) = e10
% 11.30/3.32 | (44) op2(all_0_113_113, e23) = all_0_23_23
% 11.30/3.32 | (45) op2(e23, all_0_114_114) = all_0_92_92
% 11.30/3.32 | (46) all_0_126_126 = e11 | all_0_129_129 = e11 | all_0_134_134 = e11
% 11.30/3.32 | (47) ~ (all_0_126_126 = e12)
% 11.30/3.32 | (48) all_0_122_122 = e22 | all_0_122_122 = e21 | all_0_122_122 = e20
% 11.30/3.32 | (49) h3(e10) = all_0_117_117
% 11.30/3.32 | (50) ~ (all_0_128_128 = all_0_129_129)
% 11.30/3.32 | (51) ~ (all_0_132_132 = all_0_133_133)
% 11.30/3.32 | (52) h2(e12) = e22
% 11.30/3.32 | (53) op2(e23, all_0_113_113) = all_0_91_91
% 11.30/3.32 | (54) ~ (all_0_124_124 = all_0_130_130)
% 11.30/3.32 | (55) op2(all_0_89_89, all_0_117_117) = all_0_39_39
% 11.30/3.32 | (56) ~ (all_0_113_113 = all_0_119_119)
% 11.30/3.32 | (57) h4(all_0_125_125) = all_0_3_3
% 11.30/3.32 | (58) h2(all_0_127_127) = all_0_55_55
% 11.30/3.32 | (59) ~ (all_0_118_118 = e20)
% 11.30/3.32 | (60) h3(e13) = all_0_88_88
% 11.30/3.32 | (61) all_0_127_127 = e12 | all_0_128_128 = e12 | all_0_129_129 = e12
% 11.30/3.32 | (62) all_0_118_118 = e23 | all_0_118_118 = e22 | all_0_118_118 = e21
% 11.30/3.32 | (63) all_0_114_114 = e20 | all_0_122_122 = e20
% 11.30/3.32 | (64) all_0_114_114 = e23 | all_0_117_117 = e23 | all_0_120_120 = e23
% 11.30/3.32 | (65) ~ (all_0_120_120 = e20)
% 11.30/3.32 | (66) op2(all_0_117_117, e22) = all_0_49_49
% 11.30/3.32 | (67) all_0_132_132 = e12 | all_0_133_133 = e12 | all_0_134_134 = e12
% 11.30/3.32 | (68) op2(e23, e22) = all_0_114_114
% 11.30/3.32 | (69) op1(e12, e12) = all_0_128_128
% 11.30/3.32 | (70) ~ (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 = e22) | ~ (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 = e23) | ~ (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 = e22) | ~ (all_0_90_90 = e22) | ~ (all_0_113_113 = e21) | ~ (all_0_121_121 = e20)
% 11.30/3.32 | (71) op2(e22, e20) = e20
% 11.30/3.32 | (72) all_0_131_131 = e13 | all_0_131_131 = e12
% 11.30/3.32 | (73) op2(all_0_88_88, all_0_88_88) = all_0_26_26
% 11.30/3.32 | (74) ~ (all_0_124_124 = all_0_132_132)
% 11.30/3.32 | (75) ~ (all_0_117_117 = all_0_118_118)
% 11.30/3.32 | (76) ~ (all_0_115_115 = all_0_118_118)
% 11.30/3.32 | (77) ~ (all_0_116_116 = all_0_118_118)
% 11.30/3.32 | (78) op2(e20, e23) = all_0_121_121
% 11.30/3.32 | (79) op1(e12, all_0_128_128) = all_0_106_106
% 11.30/3.32 | (80) h4(all_0_133_133) = all_0_22_22
% 11.30/3.32 | (81) op2(all_0_89_89, all_0_88_88) = all_0_33_33
% 11.30/3.32 | (82) op2(e22, e21) = all_0_118_118
% 11.30/3.32 | (83) op2(e23, all_0_113_113) = all_0_18_18
% 11.30/3.32 | (84) op2(all_0_86_86, e23) = all_0_4_4
% 11.30/3.32 | (85) ~ (e23 = e13)
% 11.30/3.32 | (86) ~ (all_0_123_123 = e23)
% 11.30/3.32 | (87) ~ (all_0_113_113 = all_0_121_121)
% 11.30/3.32 | (88) all_0_124_124 = e13 | all_0_125_125 = e13 | all_0_126_126 = e13
% 11.30/3.32 | (89) all_0_115_115 = e23 | all_0_118_118 = e23
% 11.30/3.32 | (90) op1(e13, all_0_126_126) = all_0_104_104
% 11.30/3.32 | (91) all_0_116_116 = e21 | all_0_117_117 = e21 | all_0_118_118 = e21
% 11.30/3.32 | (92) op2(all_0_86_86, all_0_87_87) = all_0_2_2
% 11.30/3.32 | (93) op2(all_0_113_113, e23) = all_0_69_69
% 11.30/3.32 | (94) all_0_130_130 = e13 | all_0_130_130 = e12
% 11.30/3.32 | (95) all_0_119_119 = e22 | all_0_120_120 = e22
% 11.30/3.32 | (96) all_0_124_124 = e13 | all_0_124_124 = e11 | all_0_124_124 = e10
% 11.30/3.32 | (97) op2(all_0_87_87, e23) = all_0_11_11
% 11.30/3.32 | (98) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0))
% 11.30/3.32 | (99) h3(all_0_127_127) = all_0_34_34
% 11.30/3.33 | (100) ~ (e22 = e20)
% 11.30/3.33 | (101) (all_0_91_91 = e23 & all_0_92_92 = e22 & all_0_93_93 = e21 & all_0_114_114 = e20 & all_0_121_121 = e20 & ( ~ (all_0_117_117 = e23) | all_0_116_116 = e22)) | (all_0_94_94 = e23 & all_0_95_95 = e22 & all_0_96_96 = e21) | (all_0_97_97 = e23 & all_0_98_98 = e22 & ( ~ (all_0_113_113 = e21) | all_0_115_115 = e23) & ( ~ (all_0_117_117 = e21) | all_0_118_118 = e22)) | (all_0_99_99 = e23 & all_0_100_100 = e22 & all_0_101_101 = e21 & all_0_121_121 = e20 & ~ (all_0_113_113 = e20))
% 11.30/3.33 | (102) op1(e10, all_0_134_134) = all_0_112_112
% 11.30/3.33 | (103) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0))
% 11.30/3.33 | (104) ~ (all_0_115_115 = e22)
% 11.30/3.33 | (105) op2(all_0_90_90, e20) = all_0_74_74
% 11.30/3.33 | (106) h3(all_0_128_128) = all_0_36_36
% 11.30/3.33 | (107) all_0_113_113 = e21 | all_0_114_114 = e21 | all_0_115_115 = e21
% 11.30/3.33 | (108) ~ (all_0_124_124 = all_0_126_126)
% 11.30/3.33 | (109) all_0_120_120 = e23 | all_0_120_120 = e22
% 11.30/3.33 | (110) ~ (all_0_114_114 = all_0_122_122)
% 11.30/3.33 | (111) op2(e21, e21) = e20
% 11.30/3.33 | (112) all_0_125_125 = e10 | all_0_133_133 = e10
% 11.30/3.33 | (113) ~ (all_0_52_52 = all_0_113_113) | ~ (all_0_53_53 = all_0_114_114) | ~ (all_0_54_54 = all_0_115_115) | ~ (all_0_55_55 = all_0_116_116) | ~ (all_0_56_56 = all_0_117_117) | ~ (all_0_57_57 = all_0_118_118) | ~ (all_0_58_58 = all_0_119_119) | ~ (all_0_59_59 = all_0_120_120) | ~ (all_0_60_60 = all_0_121_121) | ~ (all_0_61_61 = all_0_122_122) | ~ (all_0_62_62 = all_0_123_123)
% 11.30/3.33 | (114) all_0_127_127 = e12 | all_0_130_130 = e12 | all_0_132_132 = e12
% 11.30/3.33 | (115) h2(all_0_131_131) = all_0_59_59
% 11.30/3.33 | (116) all_0_128_128 = e12 | all_0_131_131 = e12 | all_0_133_133 = e12
% 11.30/3.33 | (117) op2(e21, e23) = all_0_119_119
% 11.30/3.33 | (118) all_0_124_124 = e10 | all_0_132_132 = e10
% 11.30/3.33 | (119) ~ (all_0_131_131 = e10)
% 11.30/3.33 | (120) h3(all_0_125_125) = all_0_29_29
% 11.30/3.33 | (121) all_0_121_121 = e22 | all_0_122_122 = e22 | all_0_123_123 = e22
% 11.30/3.33 | (122) h1(all_0_126_126) = all_0_68_68
% 11.30/3.33 | (123) all_0_113_113 = e23 | all_0_114_114 = e23 | all_0_115_115 = e23
% 11.30/3.33 | (124) all_0_113_113 = e23 | all_0_116_116 = e23 | all_0_119_119 = e23
% 11.30/3.33 | (125) all_0_114_114 = e21 | all_0_117_117 = e21 | all_0_122_122 = e21
% 11.30/3.33 | (126) op2(all_0_90_90, all_0_90_90) = all_0_72_72
% 11.30/3.33 | (127) ~ (all_0_130_130 = e10)
% 11.30/3.33 | (128) all_0_129_129 = e13 | all_0_129_129 = e12 | all_0_129_129 = e11
% 11.30/3.33 | (129) all_0_116_116 = e22 | all_0_119_119 = e22 | all_0_121_121 = e22
% 11.30/3.33 | (130) op1(e12, e11) = all_0_129_129
% 11.30/3.33 | (131) op2(e20, all_0_90_90) = all_0_79_79
% 11.30/3.33 | (132) op2(e20, all_0_122_122) = all_0_100_100
% 11.30/3.33 | (133) all_0_121_121 = e21 | all_0_122_122 = e21 | all_0_123_123 = e21
% 11.30/3.33 | (134) h3(all_0_126_126) = all_0_31_31
% 11.30/3.33 | (135) h1(all_0_129_129) = all_0_75_75
% 11.30/3.33 | (136) ~ (e21 = e11)
% 11.30/3.33 | (137) op2(e23, all_0_87_87) = all_0_16_16
% 11.30/3.33 | (138) h3(all_0_129_129) = all_0_38_38
% 11.30/3.33 | (139) ~ (e12 = e10)
% 11.30/3.33 | (140) ~ (all_0_119_119 = all_0_120_120)
% 11.30/3.33 | (141) h3(e12) = all_0_89_89
% 11.30/3.33 | (142) op2(all_0_113_113, all_0_113_113) = all_0_86_86
% 11.30/3.33 | (143) op1(e11, all_0_130_130) = all_0_108_108
% 11.30/3.33 | (144) ~ (all_0_120_120 = all_0_122_122)
% 11.30/3.33 | (145) ~ (e20 = e10)
% 11.30/3.33 | (146) op1(e12, e13) = all_0_127_127
% 11.30/3.33 | (147) all_0_116_116 = e22 | all_0_117_117 = e22 | all_0_118_118 = e22
% 11.30/3.33 | (148) op2(all_0_89_89, all_0_89_89) = all_0_35_35
% 11.30/3.33 | (149) op2(e23, e23) = all_0_113_113
% 11.30/3.33 | (150) h3(all_0_130_130) = all_0_41_41
% 11.30/3.33 | (151) op2(e22, e22) = all_0_117_117
% 11.30/3.33 | (152) ~ (all_0_114_114 = e22)
% 11.30/3.33 | (153) all_0_129_129 = e12 | all_0_134_134 = e12
% 11.30/3.33 | (154) op1(e10, all_0_133_133) = all_0_111_111
% 11.30/3.33 | (155) op2(e23, all_0_115_115) = all_0_93_93
% 11.30/3.33 | (156) h1(all_0_134_134) = all_0_85_85
% 11.30/3.33 | (157) all_0_132_132 = e12 | all_0_132_132 = e11 | all_0_132_132 = e10
% 11.30/3.33 | (158) op1(e13, e13) = all_0_124_124
% 11.30/3.33 | (159) op2(all_0_89_89, e22) = all_0_37_37
% 11.30/3.33 | (160) all_0_117_117 = e22 | all_0_120_120 = e22 | all_0_122_122 = e22
% 11.30/3.33 | (161) op2(e20, all_0_113_113) = all_0_77_77
% 11.30/3.33 | (162) h4(all_0_124_124) = all_0_1_1
% 11.30/3.33 | (163) h4(all_0_128_128) = all_0_10_10
% 11.30/3.33 | (164) h3(all_0_124_124) = all_0_27_27
% 11.30/3.33 | (165) all_0_124_124 = e11 | all_0_127_127 = e11 | all_0_132_132 = e11
% 11.30/3.33 | (166) all_0_116_116 = e23 | all_0_116_116 = e22 | all_0_116_116 = e21
% 11.30/3.33 | (167) ~ (all_0_126_126 = e10)
% 11.30/3.33 | (168) h3(all_0_134_134) = all_0_50_50
% 11.30/3.33 | (169) ~ (all_0_132_132 = all_0_134_134)
% 11.30/3.33 | (170) op1(e10, e10) = e13
% 11.30/3.33 | (171) op1(e10, e13) = all_0_132_132
% 11.30/3.33 | (172) ~ (e13 = e10)
% 11.30/3.33 | (173) ~ (all_0_130_130 = e11)
% 11.30/3.33 | (174) h2(e11) = e21
% 11.30/3.33 | (175) ~ (all_0_127_127 = all_0_128_128)
% 11.30/3.33 | (176) ~ (all_0_114_114 = all_0_117_117)
% 11.30/3.33 | (177) h2(all_0_126_126) = all_0_54_54
% 11.30/3.33 | (178) h4(all_0_134_134) = all_0_24_24
% 11.30/3.33 | (179) h4(e11) = e23
% 11.30/3.33 | (180) ~ (all_0_133_133 = all_0_134_134)
% 11.30/3.33 | (181) ~ (all_0_119_119 = e20)
% 11.30/3.33 | (182) ~ (all_0_124_124 = all_0_127_127)
% 11.30/3.33 | (183) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 11.30/3.33 | (184) op2(all_0_86_86, all_0_113_113) = all_0_6_6
% 11.30/3.33 | (185) ~ (all_0_132_132 = e13)
% 11.30/3.33 | (186) h4(all_0_131_131) = all_0_17_17
% 11.30/3.33 | (187) ~ (e20 = e13)
% 11.30/3.33 | (188) h1(all_0_133_133) = all_0_84_84
% 11.30/3.33 | (189) ~ (all_0_121_121 = all_0_123_123)
% 11.30/3.33 | (190) all_0_119_119 = e23 | all_0_119_119 = e22
% 11.30/3.33 | (191) op2(e21, e22) = all_0_120_120
% 11.30/3.33 | (192) ~ (all_0_115_115 = e20)
% 11.30/3.33 | (193) all_0_113_113 = e23 | all_0_113_113 = e21 | all_0_113_113 = e20
% 11.30/3.33 | (194) ~ (e20 = e11)
% 11.30/3.33 | (195) h4(all_0_129_129) = all_0_12_12
% 11.30/3.33 | (196) ~ (all_0_113_113 = all_0_116_116)
% 11.30/3.33 | (197) op1(e11, e13) = all_0_130_130
% 11.30/3.33 | (198) op2(all_0_87_87, all_0_87_87) = all_0_9_9
% 11.30/3.33 | (199) ~ (all_0_126_126 = all_0_134_134)
% 11.30/3.33 | (200) ~ (all_0_118_118 = all_0_123_123)
% 11.30/3.33 | (201) op2(all_0_113_113, all_0_113_113) = all_0_63_63
% 11.30/3.33 | (202) ~ (all_0_116_116 = all_0_121_121)
% 11.30/3.33 | (203) ~ (all_0_113_113 = all_0_114_114)
% 11.30/3.33 | (204) ~ (e23 = e10)
% 11.30/3.33 | (205) ~ (all_0_128_128 = e10)
% 11.30/3.33 | (206) op2(all_0_87_87, all_0_113_113) = all_0_13_13
% 11.30/3.33 | (207) op1(e13, all_0_125_125) = all_0_103_103
% 11.30/3.33 | (208) ~ (all_0_127_127 = all_0_129_129)
% 11.30/3.34 | (209) ~ (all_0_122_122 = e23)
% 11.30/3.34 | (210) op2(e23, all_0_86_86) = all_0_14_14
% 11.30/3.34 | (211) ~ (all_0_124_124 = all_0_125_125)
% 11.30/3.34 | (212) op2(all_0_113_113, e20) = all_0_67_67
% 11.30/3.34 | (213) op2(all_0_90_90, e23) = all_0_76_76
% 11.30/3.34 | (214) (all_0_102_102 = e13 & all_0_103_103 = e12 & all_0_104_104 = e11 & all_0_125_125 = e10 & all_0_132_132 = e10 & ( ~ (all_0_128_128 = e13) | all_0_127_127 = e12)) | (all_0_105_105 = e13 & all_0_106_106 = e12 & all_0_107_107 = e11) | (all_0_108_108 = e13 & all_0_109_109 = e12 & ( ~ (all_0_124_124 = e11) | all_0_126_126 = e13) & ( ~ (all_0_128_128 = e11) | all_0_129_129 = e12)) | (all_0_110_110 = e13 & all_0_111_111 = e12 & all_0_112_112 = e11 & all_0_132_132 = e10 & ~ (all_0_124_124 = e10))
% 11.30/3.34 | (215) op1(e10, e12) = all_0_133_133
% 11.30/3.34 | (216) op1(e11, e11) = e10
% 11.30/3.34 | (217) h3(all_0_132_132) = all_0_46_46
% 11.30/3.34 | (218) ~ (all_0_121_121 = e23)
% 11.30/3.34 | (219) ~ (all_0_125_125 = all_0_133_133)
% 11.30/3.34 | (220) ~ (all_0_116_116 = all_0_119_119)
% 11.30/3.34 | (221) ~ (e22 = e21)
% 11.30/3.34 | (222) op2(e21, all_0_119_119) = all_0_97_97
% 11.30/3.34 | (223) ~ (all_0_121_121 = all_0_122_122)
% 11.30/3.34 | (224) ~ (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_89_89) | ~ (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_117_117) | ~ (all_0_40_40 = all_0_41_41) | ~ (all_0_42_42 = all_0_43_43) | ~ (all_0_44_44 = e22) | ~ (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_88_88) | ( ~ (all_0_88_88 = e23) & ~ (all_0_89_89 = e23) & ~ (all_0_117_117 = e23)) | ( ~ (all_0_88_88 = e21) & ~ (all_0_89_89 = e21) & ~ (all_0_117_117 = e21)) | ( ~ (all_0_88_88 = e20) & ~ (all_0_89_89 = e20))
% 11.30/3.34 | (225) op2(all_0_117_117, all_0_117_117) = all_0_51_51
% 11.30/3.34 | (226) op2(all_0_113_113, all_0_87_87) = all_0_21_21
% 11.30/3.34 | (227) op2(e23, e20) = e22
% 11.30/3.34 | (228) op2(all_0_88_88, all_0_117_117) = all_0_89_89
% 11.30/3.34 | (229) ~ (all_0_129_129 = all_0_134_134)
% 11.30/3.34 | (230) ~ (all_0_127_127 = all_0_130_130)
% 11.30/3.34 | (231) ~ (e23 = e12)
% 11.30/3.34 | (232) h2(all_0_133_133) = all_0_61_61
% 11.30/3.34 | (233) all_0_125_125 = e11 | all_0_128_128 = e11 | all_0_133_133 = e11
% 11.30/3.34 | (234) ~ (all_0_134_134 = e10)
% 11.30/3.34 | (235) all_0_127_127 = e11 | all_0_128_128 = e11 | all_0_129_129 = e11
% 11.30/3.34 | (236) h1(all_0_132_132) = all_0_82_82
% 11.30/3.34 | (237) ~ (all_0_119_119 = e21)
% 11.30/3.34 | (238) all_0_126_126 = e13 | all_0_129_129 = e13
% 11.30/3.34 | (239) all_0_123_123 = e22 | all_0_123_123 = e21
% 11.30/3.34 | (240) all_0_114_114 = e23 | all_0_114_114 = e21 | all_0_114_114 = e20
% 11.30/3.34 | (241) ~ (all_0_128_128 = all_0_133_133)
% 11.30/3.34 | (242) all_0_113_113 = e21 | all_0_116_116 = e21 | all_0_121_121 = e21
% 11.30/3.34 | (243) op2(all_0_113_113, all_0_113_113) = all_0_25_25
% 11.30/3.34 | (244) h4(all_0_127_127) = all_0_8_8
% 11.30/3.34 | (245) ~ (all_0_117_117 = all_0_120_120)
% 11.30/3.34 | (246) op1(e13, e12) = all_0_125_125
% 11.30/3.34 | (247) op1(e10, all_0_132_132) = all_0_110_110
% 11.30/3.34 | (248) ~ (e20 = e12)
% 11.30/3.34 | (249) ~ (e23 = e20)
% 11.30/3.34 | (250) (all_0_125_125 = e13 & all_0_127_127 = e13 & ~ (all_0_128_128 = e12) & ( ~ (all_0_128_128 = e11) | ~ (all_0_129_129 = e12))) | (all_0_133_133 = e10 & ~ (all_0_128_128 = e12) & ( ~ (all_0_127_127 = e12) | ~ (all_0_128_128 = e13)) & ( ~ (all_0_128_128 = e11) | ~ (all_0_129_129 = e12))) | (all_0_134_134 = e11 & ~ (all_0_132_132 = e10))
% 11.30/3.34 | (251) h1(e13) = all_0_113_113
% 11.30/3.34 | (252) h2(all_0_134_134) = all_0_62_62
% 11.30/3.34 | (253) h2(all_0_128_128) = all_0_56_56
% 11.30/3.34 | (254) all_0_132_132 = e10 | all_0_133_133 = e10
% 11.30/3.34 | (255) op2(all_0_86_86, all_0_86_86) = all_0_0_0
% 11.30/3.34 | (256) op1(e10, e11) = all_0_134_134
% 11.30/3.34 | (257) h1(e10) = e23
% 11.30/3.34 | (258) op2(all_0_117_117, all_0_117_117) = all_0_88_88
% 11.30/3.34 | (259) h1(all_0_127_127) = all_0_71_71
% 11.30/3.34 | (260) ~ (all_0_122_122 = all_0_123_123)
% 11.30/3.34 | (261) h4(e12) = all_0_87_87
% 11.30/3.34 | (262) ~ (e23 = e21)
% 11.30/3.34 | (263) op2(e22, all_0_116_116) = all_0_94_94
% 11.30/3.34 | (264) all_0_118_118 = e22 | all_0_123_123 = e22
% 11.30/3.34 | (265) ~ (all_0_113_113 = all_0_115_115)
% 11.30/3.34 | (266) ~ (e22 = e13)
% 11.30/3.34 | (267) h3(all_0_131_131) = all_0_43_43
% 11.30/3.34 | (268) ~ (all_0_115_115 = all_0_123_123)
% 11.30/3.34 | (269) ~ (e22 = e12)
% 11.30/3.34 | (270) ~ (e13 = e12)
% 11.30/3.34 | (271) op2(all_0_117_117, all_0_88_88) = all_0_45_45
% 11.30/3.34 | (272) ~ (e11 = e10)
% 11.30/3.34 | (273) all_0_130_130 = e12 | all_0_131_131 = e12
% 11.30/3.34 | (274) h2(e13) = e23
% 11.30/3.34 | (275) ~ (all_0_114_114 = all_0_120_120)
% 11.30/3.34 | (276) op2(e20, e21) = all_0_123_123
% 11.30/3.34 | (277) ~ (all_0_116_116 = all_0_117_117)
% 11.30/3.34 | (278) op2(e22, all_0_117_117) = all_0_44_44
% 11.30/3.34 | (279) op2(e22, all_0_88_88) = all_0_40_40
% 11.30/3.34 | (280) op1(e12, all_0_127_127) = all_0_105_105
% 11.30/3.34 | (281) all_0_124_124 = e10 | all_0_125_125 = e10
% 11.30/3.34 | (282) op2(e20, e22) = all_0_122_122
% 11.30/3.34 | (283) op2(all_0_88_88, all_0_89_89) = all_0_28_28
% 11.30/3.34 | (284) all_0_132_132 = e11 | all_0_133_133 = e11 | all_0_134_134 = e11
% 11.30/3.34 | (285) ~ (e23 = e11)
% 11.30/3.34 | (286) ~ (all_0_114_114 = all_0_115_115)
% 11.30/3.34 | (287) ~ (all_0_117_117 = e20)
% 11.30/3.34 | (288) all_0_113_113 = e20 | all_0_114_114 = e20
% 11.30/3.34 | (289) op2(e22, all_0_117_117) = all_0_95_95
% 11.83/3.34 | (290) all_0_124_124 = e13 | all_0_127_127 = e13 | all_0_130_130 = e13
% 11.83/3.34 | (291) ~ (e12 = e11)
% 11.83/3.34 | (292) ~ (all_0_134_134 = e13)
% 11.83/3.34 | (293) op1(e13, e11) = all_0_126_126
% 11.83/3.34 | (294) h4(all_0_126_126) = all_0_5_5
% 11.83/3.34 | (295) op2(e23, e21) = all_0_115_115
% 11.83/3.34 | (296) h2(e10) = e20
% 11.83/3.34 | (297) ~ (e21 = e12)
% 11.83/3.34 | (298) op2(all_0_113_113, all_0_90_90) = all_0_65_65
% 11.83/3.34 | (299) h4(all_0_132_132) = all_0_20_20
% 11.83/3.34 | (300) all_0_113_113 = e20 | all_0_121_121 = e20
% 11.83/3.34 | (301) all_0_121_121 = e20 | all_0_122_122 = e20
% 11.83/3.34 | (302) ~ (all_0_127_127 = e10)
% 11.83/3.34 | (303) ~ (e21 = e20)
% 11.83/3.34 | (304) all_0_115_115 = e23 | all_0_115_115 = e21
% 11.83/3.34 | (305) ~ (all_0_119_119 = all_0_121_121)
% 11.83/3.34 | (306) ~ (all_0_131_131 = e11)
% 11.83/3.34 | (307) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0))
% 11.83/3.34 | (308) h2(all_0_129_129) = all_0_57_57
% 11.83/3.35 | (309) op2(e20, e20) = e23
% 11.83/3.35 | (310) ~ (e21 = e13)
% 11.83/3.35 | (311) ~ (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_87_87) | ~ (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_113_113) | ~ (all_0_14_14 = all_0_15_15) | ~ (all_0_16_16 = all_0_17_17) | ~ (all_0_18_18 = e23) | ~ (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_86_86) | ( ~ (all_0_86_86 = e22) & ~ (all_0_87_87 = e22)) | ( ~ (all_0_86_86 = e21) & ~ (all_0_87_87 = e21) & ~ (all_0_113_113 = e21)) | ( ~ (all_0_86_86 = e20) & ~ (all_0_87_87 = e20) & ~ (all_0_113_113 = e20))
% 11.83/3.35 | (312) ~ (all_0_117_117 = all_0_122_122)
% 11.83/3.35 | (313) h1(e12) = all_0_90_90
% 11.83/3.35 | (314) all_0_126_126 = e13 | all_0_126_126 = e11
% 11.83/3.35 | (315) h4(e10) = all_0_113_113
% 11.83/3.35 | (316) op1(e11, all_0_131_131) = all_0_109_109
% 11.83/3.35 | (317) ~ (all_0_130_130 = all_0_132_132)
% 11.83/3.35 | (318) op2(all_0_113_113, e23) = all_0_90_90
% 11.83/3.35 | (319) h2(all_0_130_130) = all_0_58_58
% 11.83/3.35 | (320) all_0_128_128 = e13 | all_0_128_128 = e12 | all_0_128_128 = e11
% 11.83/3.35 | (321) all_0_133_133 = e12 | all_0_133_133 = e11 | all_0_133_133 = e10
% 11.83/3.35 | (322) op2(e22, all_0_118_118) = all_0_96_96
% 11.83/3.35 | (323) ~ (all_0_124_124 = e12)
% 11.83/3.35 | (324) ~ (all_0_130_130 = all_0_131_131)
% 11.83/3.35 | (325) h3(all_0_133_133) = all_0_48_48
% 11.83/3.35 | (326) ~ (e13 = e11)
% 11.83/3.35 | (327) op2(all_0_117_117, all_0_89_89) = all_0_47_47
% 11.83/3.35 | (328) h4(all_0_130_130) = all_0_15_15
% 11.83/3.35 | (329) op1(e11, e12) = all_0_131_131
% 11.83/3.35 | (330) ~ (all_0_127_127 = all_0_132_132)
% 11.83/3.35 | (331) op2(e22, e23) = all_0_116_116
% 11.83/3.35 | (332) op2(e20, all_0_123_123) = all_0_101_101
% 11.83/3.35 | (333) h1(all_0_124_124) = all_0_64_64
% 11.83/3.35 | (334) ~ (all_0_128_128 = all_0_131_131)
% 11.83/3.35 | (335) ~ (all_0_129_129 = e10)
% 11.83/3.35 | (336) op2(e23, all_0_90_90) = all_0_83_83
% 11.83/3.35 | (337) op2(e22, all_0_89_89) = all_0_42_42
% 11.83/3.35 | (338) all_0_119_119 = e23 | all_0_120_120 = e23
% 11.83/3.35 | (339) all_0_127_127 = e13 | all_0_127_127 = e12 | all_0_127_127 = e11
% 11.83/3.35 | (340) all_0_117_117 = e23 | all_0_117_117 = e22 | all_0_117_117 = e21
% 11.83/3.35 | (341) op2(all_0_88_88, e22) = all_0_30_30
% 11.83/3.35 | (342) h1(all_0_130_130) = all_0_78_78
% 11.83/3.35 | (343) op1(e11, e10) = e11
% 11.83/3.35 | (344) ~ (all_0_113_113 = e22)
% 11.83/3.35 | (345) ~ (e22 = e10)
% 11.83/3.35 | (346) ~ (all_0_125_125 = all_0_128_128)
% 11.83/3.35 | (347) op1(e13, e10) = e12
% 11.83/3.35 | (348) all_0_115_115 = e21 | all_0_118_118 = e21 | all_0_123_123 = e21
% 11.83/3.35 | (349) h3(e11) = e22
% 11.83/3.35 | (350) ~ (all_0_125_125 = all_0_131_131)
% 11.83/3.35 |
% 11.83/3.35 | Instantiating formula (183) with e22, all_0_117_117, all_0_95_95, all_0_44_44 and discharging atoms op2(e22, all_0_117_117) = all_0_44_44, op2(e22, all_0_117_117) = all_0_95_95, yields:
% 11.83/3.35 | (351) all_0_44_44 = all_0_95_95
% 11.83/3.35 |
% 11.83/3.35 | From (351) and (278) follows:
% 11.83/3.35 | (289) op2(e22, all_0_117_117) = all_0_95_95
% 11.83/3.35 |
% 11.83/3.35 +-Applying beta-rule and splitting (109), into two cases.
% 11.83/3.35 |-Branch one:
% 11.83/3.35 | (353) all_0_120_120 = e23
% 11.83/3.35 |
% 11.83/3.35 | Equations (353) can reduce 275 to:
% 11.83/3.35 | (354) ~ (all_0_114_114 = e23)
% 11.83/3.35 |
% 11.83/3.35 | Equations (353) can reduce 140 to:
% 11.83/3.35 | (355) ~ (all_0_119_119 = e23)
% 11.83/3.35 |
% 11.83/3.35 | Equations (353) can reduce 144 to:
% 11.83/3.35 | (356) ~ (all_0_122_122 = e23)
% 11.83/3.35 |
% 11.83/3.35 | Simplifying 356 yields:
% 11.83/3.35 | (209) ~ (all_0_122_122 = e23)
% 11.83/3.35 |
% 11.83/3.35 +-Applying beta-rule and splitting (190), into two cases.
% 11.83/3.35 |-Branch one:
% 11.83/3.35 | (358) all_0_119_119 = e23
% 11.83/3.35 |
% 11.83/3.35 | Equations (358) can reduce 355 to:
% 11.83/3.35 | (359) $false
% 11.83/3.35 |
% 11.83/3.35 |-The branch is then unsatisfiable
% 11.83/3.35 |-Branch two:
% 11.83/3.35 | (355) ~ (all_0_119_119 = e23)
% 11.83/3.35 | (361) all_0_119_119 = e22
% 11.83/3.35 |
% 11.83/3.35 | Equations (361) can reduce 56 to:
% 11.83/3.35 | (344) ~ (all_0_113_113 = e22)
% 11.83/3.35 |
% 11.83/3.35 | Equations (361) can reduce 305 to:
% 11.83/3.35 | (363) ~ (all_0_121_121 = e22)
% 11.83/3.35 |
% 11.83/3.35 | Simplifying 363 yields:
% 11.83/3.35 | (364) ~ (all_0_121_121 = e22)
% 11.83/3.35 |
% 11.83/3.35 | Equations (361) can reduce 355 to:
% 11.83/3.35 | (365) ~ (e23 = e22)
% 11.83/3.35 |
% 11.83/3.35 | Simplifying 365 yields:
% 11.83/3.35 | (22) ~ (e23 = e22)
% 11.83/3.35 |
% 11.83/3.35 | Equations (361) can reduce 237 to:
% 11.83/3.35 | (221) ~ (e22 = e21)
% 11.83/3.35 |
% 11.83/3.35 +-Applying beta-rule and splitting (89), into two cases.
% 11.83/3.35 |-Branch one:
% 11.83/3.35 | (368) all_0_115_115 = e23
% 11.83/3.35 |
% 11.83/3.35 | Equations (368) can reduce 286 to:
% 11.83/3.35 | (354) ~ (all_0_114_114 = e23)
% 11.83/3.35 |
% 11.83/3.35 | Equations (368) can reduce 268 to:
% 11.83/3.35 | (370) ~ (all_0_123_123 = e23)
% 11.83/3.35 |
% 11.83/3.35 | Simplifying 370 yields:
% 11.83/3.35 | (86) ~ (all_0_123_123 = e23)
% 11.83/3.35 |
% 11.83/3.35 +-Applying beta-rule and splitting (239), into two cases.
% 11.83/3.35 |-Branch one:
% 11.83/3.35 | (372) all_0_123_123 = e22
% 11.83/3.35 |
% 11.83/3.35 | Equations (372) can reduce 86 to:
% 11.83/3.35 | (365) ~ (e23 = e22)
% 11.83/3.35 |
% 11.83/3.35 | Simplifying 365 yields:
% 11.83/3.35 | (22) ~ (e23 = e22)
% 11.83/3.35 |
% 11.83/3.35 +-Applying beta-rule and splitting (36), into two cases.
% 11.83/3.35 |-Branch one:
% 11.83/3.35 | (375) (all_0_114_114 = e23 & all_0_116_116 = e23 & ~ (all_0_117_117 = e22) & ( ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22))) | (all_0_122_122 = e20 & ~ (all_0_117_117 = e22) & ( ~ (all_0_116_116 = e22) | ~ (all_0_117_117 = e23)) & ( ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22)))
% 11.83/3.35 |
% 11.83/3.35 +-Applying beta-rule and splitting (375), into two cases.
% 11.83/3.35 |-Branch one:
% 11.83/3.35 | (376) all_0_114_114 = e23 & all_0_116_116 = e23 & ~ (all_0_117_117 = e22) & ( ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22))
% 11.83/3.35 |
% 11.83/3.35 | Applying alpha-rule on (376) yields:
% 11.83/3.36 | (377) all_0_114_114 = e23
% 11.83/3.36 | (378) all_0_116_116 = e23
% 11.83/3.36 | (379) ~ (all_0_117_117 = e22)
% 11.83/3.36 | (380) ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22)
% 11.83/3.36 |
% 11.83/3.36 | Equations (377) can reduce 354 to:
% 11.83/3.36 | (359) $false
% 11.83/3.36 |
% 11.83/3.36 |-The branch is then unsatisfiable
% 11.83/3.36 |-Branch two:
% 11.83/3.36 | (382) all_0_122_122 = e20 & ~ (all_0_117_117 = e22) & ( ~ (all_0_116_116 = e22) | ~ (all_0_117_117 = e23)) & ( ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22))
% 11.83/3.36 |
% 11.83/3.36 | Applying alpha-rule on (382) yields:
% 11.83/3.36 | (383) all_0_122_122 = e20
% 11.83/3.36 | (379) ~ (all_0_117_117 = e22)
% 11.83/3.36 | (385) ~ (all_0_116_116 = e22) | ~ (all_0_117_117 = e23)
% 11.83/3.36 | (380) ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22)
% 11.83/3.36 |
% 11.83/3.36 | Equations (383) can reduce 110 to:
% 11.83/3.36 | (387) ~ (all_0_114_114 = e20)
% 11.83/3.36 |
% 11.83/3.36 +-Applying beta-rule and splitting (288), into two cases.
% 11.83/3.36 |-Branch one:
% 11.83/3.36 | (388) all_0_113_113 = e20
% 11.83/3.36 |
% 11.83/3.36 | Equations (388) can reduce 344 to:
% 11.83/3.36 | (389) ~ (e22 = e20)
% 11.83/3.36 |
% 11.83/3.36 | Simplifying 389 yields:
% 11.83/3.36 | (100) ~ (e22 = e20)
% 11.83/3.36 |
% 11.83/3.36 +-Applying beta-rule and splitting (160), into two cases.
% 11.83/3.36 |-Branch one:
% 11.83/3.36 | (391) all_0_117_117 = e22
% 11.83/3.36 |
% 11.83/3.36 | Equations (391) can reduce 379 to:
% 11.83/3.36 | (359) $false
% 11.83/3.36 |
% 11.83/3.36 |-The branch is then unsatisfiable
% 11.83/3.36 |-Branch two:
% 11.83/3.36 | (379) ~ (all_0_117_117 = e22)
% 11.83/3.36 | (394) all_0_120_120 = e22 | all_0_122_122 = e22
% 11.83/3.36 |
% 11.83/3.36 +-Applying beta-rule and splitting (394), into two cases.
% 11.83/3.36 |-Branch one:
% 11.83/3.36 | (395) all_0_120_120 = e22
% 11.83/3.36 |
% 11.83/3.36 | Combining equations (395,353) yields a new equation:
% 11.83/3.36 | (396) e23 = e22
% 11.83/3.36 |
% 11.83/3.36 | Equations (396) can reduce 22 to:
% 11.83/3.36 | (359) $false
% 11.83/3.36 |
% 11.83/3.36 |-The branch is then unsatisfiable
% 11.83/3.36 |-Branch two:
% 11.83/3.36 | (398) ~ (all_0_120_120 = e22)
% 11.83/3.36 | (399) all_0_122_122 = e22
% 11.83/3.36 |
% 11.83/3.36 | Combining equations (383,399) yields a new equation:
% 11.83/3.36 | (400) e22 = e20
% 11.83/3.36 |
% 11.83/3.36 | Equations (400) can reduce 100 to:
% 11.83/3.36 | (359) $false
% 11.83/3.36 |
% 11.83/3.36 |-The branch is then unsatisfiable
% 11.83/3.36 |-Branch two:
% 11.83/3.36 | (402) ~ (all_0_113_113 = e20)
% 11.83/3.36 | (403) all_0_114_114 = e20
% 11.83/3.36 |
% 11.83/3.36 | Equations (403) can reduce 387 to:
% 11.83/3.36 | (359) $false
% 11.83/3.36 |
% 11.83/3.36 |-The branch is then unsatisfiable
% 11.83/3.36 |-Branch two:
% 11.83/3.36 | (405) all_0_123_123 = e21 & ~ (all_0_121_121 = e20)
% 11.83/3.36 |
% 11.83/3.36 | Applying alpha-rule on (405) yields:
% 11.83/3.36 | (406) all_0_123_123 = e21
% 11.83/3.36 | (407) ~ (all_0_121_121 = e20)
% 11.83/3.36 |
% 11.83/3.36 | Combining equations (406,372) yields a new equation:
% 11.83/3.36 | (408) e22 = e21
% 11.83/3.36 |
% 11.83/3.36 | Equations (408) can reduce 221 to:
% 11.83/3.36 | (359) $false
% 11.83/3.36 |
% 11.83/3.36 |-The branch is then unsatisfiable
% 11.83/3.36 |-Branch two:
% 11.83/3.36 | (410) ~ (all_0_123_123 = e22)
% 11.83/3.36 | (406) all_0_123_123 = e21
% 11.83/3.36 |
% 11.83/3.36 | Equations (406) can reduce 200 to:
% 11.83/3.36 | (412) ~ (all_0_118_118 = e21)
% 11.83/3.36 |
% 11.83/3.36 | Equations (406) can reduce 410 to:
% 11.83/3.36 | (413) ~ (e22 = e21)
% 11.83/3.36 |
% 11.83/3.36 | Simplifying 413 yields:
% 11.83/3.36 | (221) ~ (e22 = e21)
% 11.83/3.36 |
% 11.83/3.36 +-Applying beta-rule and splitting (264), into two cases.
% 11.83/3.36 |-Branch one:
% 11.83/3.36 | (415) all_0_118_118 = e22
% 11.83/3.36 |
% 11.83/3.36 | Equations (415) can reduce 412 to:
% 11.83/3.36 | (221) ~ (e22 = e21)
% 11.83/3.36 |
% 11.83/3.36 | Equations (415) can reduce 59 to:
% 11.83/3.36 | (100) ~ (e22 = e20)
% 11.83/3.36 |
% 11.83/3.36 +-Applying beta-rule and splitting (121), into two cases.
% 11.83/3.36 |-Branch one:
% 11.83/3.36 | (418) all_0_121_121 = e22
% 11.83/3.36 |
% 11.83/3.36 | Equations (418) can reduce 364 to:
% 11.83/3.36 | (359) $false
% 11.83/3.36 |
% 11.83/3.36 |-The branch is then unsatisfiable
% 11.83/3.36 |-Branch two:
% 11.83/3.36 | (364) ~ (all_0_121_121 = e22)
% 11.83/3.36 | (421) all_0_122_122 = e22 | all_0_123_123 = e22
% 11.83/3.36 |
% 11.83/3.36 +-Applying beta-rule and splitting (421), into two cases.
% 11.83/3.36 |-Branch one:
% 11.83/3.36 | (399) all_0_122_122 = e22
% 11.83/3.36 |
% 11.83/3.36 +-Applying beta-rule and splitting (36), into two cases.
% 11.83/3.36 |-Branch one:
% 11.83/3.36 | (375) (all_0_114_114 = e23 & all_0_116_116 = e23 & ~ (all_0_117_117 = e22) & ( ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22))) | (all_0_122_122 = e20 & ~ (all_0_117_117 = e22) & ( ~ (all_0_116_116 = e22) | ~ (all_0_117_117 = e23)) & ( ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22)))
% 11.83/3.36 |
% 11.83/3.36 +-Applying beta-rule and splitting (375), into two cases.
% 11.83/3.36 |-Branch one:
% 11.83/3.36 | (376) all_0_114_114 = e23 & all_0_116_116 = e23 & ~ (all_0_117_117 = e22) & ( ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22))
% 11.83/3.36 |
% 11.83/3.36 | Applying alpha-rule on (376) yields:
% 11.83/3.36 | (377) all_0_114_114 = e23
% 11.83/3.36 | (378) all_0_116_116 = e23
% 11.83/3.36 | (379) ~ (all_0_117_117 = e22)
% 11.83/3.36 | (380) ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22)
% 11.83/3.36 |
% 11.83/3.36 | Equations (377) can reduce 354 to:
% 11.83/3.36 | (359) $false
% 11.83/3.36 |
% 11.83/3.36 |-The branch is then unsatisfiable
% 11.83/3.36 |-Branch two:
% 11.83/3.36 | (382) all_0_122_122 = e20 & ~ (all_0_117_117 = e22) & ( ~ (all_0_116_116 = e22) | ~ (all_0_117_117 = e23)) & ( ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22))
% 11.83/3.36 |
% 11.83/3.36 | Applying alpha-rule on (382) yields:
% 11.83/3.36 | (383) all_0_122_122 = e20
% 11.83/3.36 | (379) ~ (all_0_117_117 = e22)
% 11.83/3.36 | (385) ~ (all_0_116_116 = e22) | ~ (all_0_117_117 = e23)
% 11.83/3.36 | (380) ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22)
% 11.83/3.36 |
% 11.83/3.36 | Combining equations (383,399) yields a new equation:
% 11.83/3.36 | (400) e22 = e20
% 11.83/3.36 |
% 11.83/3.36 | Equations (400) can reduce 100 to:
% 11.83/3.36 | (359) $false
% 11.83/3.36 |
% 11.83/3.36 |-The branch is then unsatisfiable
% 11.83/3.36 |-Branch two:
% 11.83/3.36 | (405) all_0_123_123 = e21 & ~ (all_0_121_121 = e20)
% 11.83/3.36 |
% 11.83/3.36 | Applying alpha-rule on (405) yields:
% 11.83/3.36 | (406) all_0_123_123 = e21
% 11.83/3.36 | (407) ~ (all_0_121_121 = e20)
% 11.83/3.36 |
% 11.83/3.36 +-Applying beta-rule and splitting (301), into two cases.
% 11.83/3.36 |-Branch one:
% 11.83/3.36 | (440) all_0_121_121 = e20
% 11.83/3.36 |
% 11.83/3.36 | Equations (440) can reduce 407 to:
% 11.83/3.36 | (359) $false
% 11.83/3.36 |
% 11.83/3.36 |-The branch is then unsatisfiable
% 11.83/3.36 |-Branch two:
% 11.83/3.36 | (407) ~ (all_0_121_121 = e20)
% 11.83/3.36 | (383) all_0_122_122 = e20
% 11.83/3.36 |
% 11.83/3.36 | Combining equations (383,399) yields a new equation:
% 11.83/3.36 | (400) e22 = e20
% 11.83/3.36 |
% 11.83/3.36 | Equations (400) can reduce 100 to:
% 11.83/3.36 | (359) $false
% 11.83/3.36 |
% 11.83/3.36 |-The branch is then unsatisfiable
% 11.83/3.36 |-Branch two:
% 11.83/3.36 | (446) ~ (all_0_122_122 = e22)
% 11.83/3.36 | (372) all_0_123_123 = e22
% 11.83/3.36 |
% 11.83/3.36 | Combining equations (406,372) yields a new equation:
% 11.83/3.36 | (408) e22 = e21
% 11.83/3.36 |
% 11.83/3.36 | Equations (408) can reduce 221 to:
% 11.83/3.36 | (359) $false
% 11.83/3.36 |
% 11.83/3.36 |-The branch is then unsatisfiable
% 11.83/3.36 |-Branch two:
% 11.83/3.36 | (450) ~ (all_0_118_118 = e22)
% 11.83/3.36 | (372) all_0_123_123 = e22
% 11.83/3.36 |
% 11.83/3.36 | Combining equations (372,406) yields a new equation:
% 11.83/3.36 | (452) e22 = e21
% 11.83/3.36 |
% 11.83/3.36 | Simplifying 452 yields:
% 11.83/3.36 | (408) e22 = e21
% 11.83/3.36 |
% 11.83/3.36 | Equations (408) can reduce 221 to:
% 11.83/3.36 | (359) $false
% 11.83/3.36 |
% 11.83/3.36 |-The branch is then unsatisfiable
% 11.83/3.36 |-Branch two:
% 11.83/3.36 | (455) ~ (all_0_115_115 = e23)
% 11.83/3.36 | (456) all_0_118_118 = e23
% 11.83/3.36 |
% 11.83/3.36 | Equations (456) can reduce 76 to:
% 11.83/3.36 | (455) ~ (all_0_115_115 = e23)
% 11.83/3.36 |
% 11.83/3.36 | Equations (456) can reduce 77 to:
% 11.83/3.36 | (458) ~ (all_0_116_116 = e23)
% 11.83/3.36 |
% 11.83/3.36 | Equations (456) can reduce 75 to:
% 11.83/3.36 | (459) ~ (all_0_117_117 = e23)
% 11.83/3.36 |
% 11.83/3.36 | Equations (456) can reduce 200 to:
% 11.83/3.36 | (370) ~ (all_0_123_123 = e23)
% 11.83/3.36 |
% 11.83/3.36 | Simplifying 370 yields:
% 11.83/3.36 | (86) ~ (all_0_123_123 = e23)
% 11.83/3.37 |
% 11.83/3.37 +-Applying beta-rule and splitting (304), into two cases.
% 11.83/3.37 |-Branch one:
% 11.83/3.37 | (368) all_0_115_115 = e23
% 11.83/3.37 |
% 11.83/3.37 | Equations (368) can reduce 455 to:
% 11.83/3.37 | (359) $false
% 11.83/3.37 |
% 11.83/3.37 |-The branch is then unsatisfiable
% 11.83/3.37 |-Branch two:
% 11.83/3.37 | (455) ~ (all_0_115_115 = e23)
% 11.83/3.37 | (465) all_0_115_115 = e21
% 11.83/3.37 |
% 11.83/3.37 | Equations (465) can reduce 265 to:
% 11.83/3.37 | (466) ~ (all_0_113_113 = e21)
% 11.83/3.37 |
% 11.83/3.37 | Equations (465) can reduce 286 to:
% 11.83/3.37 | (467) ~ (all_0_114_114 = e21)
% 11.83/3.37 |
% 11.83/3.37 | Equations (465) can reduce 268 to:
% 11.83/3.37 | (468) ~ (all_0_123_123 = e21)
% 11.83/3.37 |
% 11.83/3.37 | Simplifying 468 yields:
% 11.83/3.37 | (469) ~ (all_0_123_123 = e21)
% 11.83/3.37 |
% 11.83/3.37 +-Applying beta-rule and splitting (264), into two cases.
% 11.83/3.37 |-Branch one:
% 11.83/3.37 | (415) all_0_118_118 = e22
% 11.83/3.37 |
% 11.83/3.37 | Combining equations (456,415) yields a new equation:
% 11.83/3.37 | (471) e23 = e22
% 11.83/3.37 |
% 11.83/3.37 | Simplifying 471 yields:
% 11.83/3.37 | (396) e23 = e22
% 11.83/3.37 |
% 11.83/3.37 | Equations (396) can reduce 22 to:
% 11.83/3.37 | (359) $false
% 11.83/3.37 |
% 11.83/3.37 |-The branch is then unsatisfiable
% 11.83/3.37 |-Branch two:
% 11.83/3.37 | (450) ~ (all_0_118_118 = e22)
% 11.83/3.37 | (372) all_0_123_123 = e22
% 11.83/3.37 |
% 11.83/3.37 | Equations (372) can reduce 86 to:
% 11.83/3.37 | (365) ~ (e23 = e22)
% 11.83/3.37 |
% 11.83/3.37 | Simplifying 365 yields:
% 11.83/3.37 | (22) ~ (e23 = e22)
% 11.83/3.37 |
% 11.83/3.37 | Equations (372) can reduce 469 to:
% 11.83/3.37 | (221) ~ (e22 = e21)
% 11.83/3.37 |
% 11.83/3.37 +-Applying beta-rule and splitting (160), into two cases.
% 11.83/3.37 |-Branch one:
% 11.83/3.37 | (391) all_0_117_117 = e22
% 11.83/3.37 |
% 11.83/3.37 | Equations (391) can reduce 277 to:
% 11.83/3.37 | (480) ~ (all_0_116_116 = e22)
% 11.83/3.37 |
% 11.83/3.37 | Equations (391) can reduce 312 to:
% 11.83/3.37 | (481) ~ (all_0_122_122 = e22)
% 11.83/3.37 |
% 11.83/3.37 | Simplifying 481 yields:
% 11.83/3.37 | (446) ~ (all_0_122_122 = e22)
% 11.83/3.37 |
% 11.83/3.37 +-Applying beta-rule and splitting (125), into two cases.
% 11.83/3.37 |-Branch one:
% 11.83/3.37 | (483) all_0_114_114 = e21
% 11.83/3.37 |
% 11.83/3.37 | Equations (483) can reduce 467 to:
% 11.83/3.37 | (359) $false
% 11.83/3.37 |
% 11.83/3.37 |-The branch is then unsatisfiable
% 11.83/3.37 |-Branch two:
% 11.83/3.37 | (467) ~ (all_0_114_114 = e21)
% 11.83/3.37 | (486) all_0_117_117 = e21 | all_0_122_122 = e21
% 11.83/3.37 |
% 11.83/3.37 +-Applying beta-rule and splitting (240), into two cases.
% 11.83/3.37 |-Branch one:
% 11.83/3.37 | (377) all_0_114_114 = e23
% 11.83/3.37 |
% 11.83/3.37 | Equations (377) can reduce 354 to:
% 11.83/3.37 | (359) $false
% 11.83/3.37 |
% 11.83/3.37 |-The branch is then unsatisfiable
% 11.83/3.37 |-Branch two:
% 11.83/3.37 | (354) ~ (all_0_114_114 = e23)
% 11.83/3.37 | (490) all_0_114_114 = e21 | all_0_114_114 = e20
% 11.83/3.37 |
% 11.83/3.37 +-Applying beta-rule and splitting (124), into two cases.
% 11.83/3.37 |-Branch one:
% 11.83/3.37 | (491) all_0_113_113 = e23
% 11.83/3.37 |
% 11.83/3.37 | Equations (491) can reduce 466 to:
% 11.83/3.37 | (262) ~ (e23 = e21)
% 11.83/3.37 |
% 11.83/3.37 +-Applying beta-rule and splitting (490), into two cases.
% 11.83/3.37 |-Branch one:
% 11.83/3.37 | (483) all_0_114_114 = e21
% 11.83/3.37 |
% 11.83/3.37 | Equations (483) can reduce 467 to:
% 11.83/3.37 | (359) $false
% 11.83/3.37 |
% 11.83/3.37 |-The branch is then unsatisfiable
% 11.83/3.37 |-Branch two:
% 11.83/3.37 | (467) ~ (all_0_114_114 = e21)
% 11.83/3.37 | (403) all_0_114_114 = e20
% 11.83/3.37 |
% 11.83/3.37 | Equations (403) can reduce 110 to:
% 11.83/3.37 | (497) ~ (all_0_122_122 = e20)
% 11.83/3.37 |
% 11.83/3.37 | Simplifying 497 yields:
% 11.83/3.37 | (498) ~ (all_0_122_122 = e20)
% 11.83/3.37 |
% 11.83/3.37 +-Applying beta-rule and splitting (301), into two cases.
% 11.83/3.37 |-Branch one:
% 11.83/3.37 | (440) all_0_121_121 = e20
% 11.83/3.37 |
% 11.83/3.37 | Equations (440) can reduce 202 to:
% 11.83/3.37 | (32) ~ (all_0_116_116 = e20)
% 11.83/3.37 |
% 11.83/3.37 | Equations (440) can reduce 223 to:
% 11.83/3.37 | (497) ~ (all_0_122_122 = e20)
% 11.83/3.37 |
% 11.83/3.37 | Simplifying 497 yields:
% 11.83/3.37 | (498) ~ (all_0_122_122 = e20)
% 11.83/3.37 |
% 11.83/3.37 +-Applying beta-rule and splitting (91), into two cases.
% 11.83/3.37 |-Branch one:
% 11.83/3.37 | (503) all_0_116_116 = e21
% 11.83/3.37 |
% 11.83/3.37 | Equations (503) can reduce 480 to:
% 11.83/3.37 | (413) ~ (e22 = e21)
% 11.83/3.37 |
% 11.83/3.37 | Simplifying 413 yields:
% 11.83/3.37 | (221) ~ (e22 = e21)
% 11.83/3.37 |
% 11.83/3.37 | Equations (503) can reduce 32 to:
% 11.83/3.37 | (303) ~ (e21 = e20)
% 11.83/3.37 |
% 11.83/3.37 +-Applying beta-rule and splitting (48), into two cases.
% 11.83/3.37 |-Branch one:
% 11.83/3.37 | (399) all_0_122_122 = e22
% 11.83/3.37 |
% 11.83/3.37 | Equations (399) can reduce 446 to:
% 11.83/3.37 | (359) $false
% 11.83/3.37 |
% 11.83/3.37 |-The branch is then unsatisfiable
% 11.83/3.37 |-Branch two:
% 11.83/3.37 | (446) ~ (all_0_122_122 = e22)
% 11.83/3.37 | (510) all_0_122_122 = e21 | all_0_122_122 = e20
% 11.83/3.37 |
% 11.83/3.37 +-Applying beta-rule and splitting (133), into two cases.
% 11.83/3.37 |-Branch one:
% 11.83/3.37 | (511) all_0_121_121 = e21
% 11.83/3.37 |
% 11.83/3.37 | Combining equations (511,440) yields a new equation:
% 11.83/3.37 | (512) e21 = e20
% 11.83/3.37 |
% 11.83/3.37 | Simplifying 512 yields:
% 11.83/3.37 | (513) e21 = e20
% 11.83/3.37 |
% 11.83/3.37 | Equations (513) can reduce 303 to:
% 11.83/3.37 | (359) $false
% 11.83/3.37 |
% 11.83/3.37 |-The branch is then unsatisfiable
% 11.83/3.37 |-Branch two:
% 11.83/3.37 | (515) ~ (all_0_121_121 = e21)
% 11.83/3.37 | (516) all_0_122_122 = e21 | all_0_123_123 = e21
% 11.83/3.37 |
% 11.83/3.37 +-Applying beta-rule and splitting (516), into two cases.
% 11.83/3.37 |-Branch one:
% 11.83/3.37 | (517) all_0_122_122 = e21
% 11.83/3.37 |
% 11.83/3.37 | Equations (517) can reduce 446 to:
% 11.83/3.37 | (413) ~ (e22 = e21)
% 11.83/3.37 |
% 11.83/3.37 | Simplifying 413 yields:
% 11.83/3.37 | (221) ~ (e22 = e21)
% 11.83/3.37 |
% 11.83/3.37 | Equations (517) can reduce 498 to:
% 11.83/3.37 | (303) ~ (e21 = e20)
% 11.83/3.37 |
% 11.83/3.37 +-Applying beta-rule and splitting (36), into two cases.
% 11.83/3.37 |-Branch one:
% 11.83/3.37 | (375) (all_0_114_114 = e23 & all_0_116_116 = e23 & ~ (all_0_117_117 = e22) & ( ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22))) | (all_0_122_122 = e20 & ~ (all_0_117_117 = e22) & ( ~ (all_0_116_116 = e22) | ~ (all_0_117_117 = e23)) & ( ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22)))
% 11.83/3.37 |
% 11.83/3.37 +-Applying beta-rule and splitting (375), into two cases.
% 11.83/3.37 |-Branch one:
% 11.83/3.37 | (376) all_0_114_114 = e23 & all_0_116_116 = e23 & ~ (all_0_117_117 = e22) & ( ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22))
% 11.83/3.37 |
% 11.83/3.37 | Applying alpha-rule on (376) yields:
% 11.83/3.37 | (377) all_0_114_114 = e23
% 11.83/3.37 | (378) all_0_116_116 = e23
% 11.83/3.37 | (379) ~ (all_0_117_117 = e22)
% 11.83/3.37 | (380) ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22)
% 11.83/3.37 |
% 11.83/3.37 | Combining equations (403,377) yields a new equation:
% 11.83/3.37 | (527) e23 = e20
% 11.83/3.37 |
% 11.83/3.37 | Combining equations (503,378) yields a new equation:
% 11.83/3.37 | (528) e23 = e21
% 11.83/3.37 |
% 11.83/3.37 | Combining equations (528,527) yields a new equation:
% 11.83/3.37 | (512) e21 = e20
% 11.83/3.37 |
% 11.83/3.37 | Simplifying 512 yields:
% 11.83/3.37 | (513) e21 = e20
% 11.83/3.37 |
% 11.83/3.37 | Equations (513) can reduce 303 to:
% 11.83/3.37 | (359) $false
% 11.83/3.37 |
% 11.83/3.37 |-The branch is then unsatisfiable
% 11.83/3.37 |-Branch two:
% 11.83/3.37 | (382) all_0_122_122 = e20 & ~ (all_0_117_117 = e22) & ( ~ (all_0_116_116 = e22) | ~ (all_0_117_117 = e23)) & ( ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22))
% 11.83/3.37 |
% 11.83/3.37 | Applying alpha-rule on (382) yields:
% 11.83/3.37 | (383) all_0_122_122 = e20
% 11.83/3.37 | (379) ~ (all_0_117_117 = e22)
% 11.83/3.37 | (385) ~ (all_0_116_116 = e22) | ~ (all_0_117_117 = e23)
% 11.83/3.37 | (380) ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22)
% 11.83/3.37 |
% 11.83/3.37 | Combining equations (517,383) yields a new equation:
% 11.83/3.37 | (512) e21 = e20
% 11.83/3.37 |
% 11.83/3.37 | Simplifying 512 yields:
% 11.83/3.37 | (513) e21 = e20
% 11.83/3.37 |
% 11.83/3.37 | Equations (513) can reduce 303 to:
% 11.83/3.37 | (359) $false
% 11.83/3.37 |
% 11.83/3.37 |-The branch is then unsatisfiable
% 11.83/3.37 |-Branch two:
% 11.83/3.37 | (405) all_0_123_123 = e21 & ~ (all_0_121_121 = e20)
% 11.83/3.37 |
% 11.83/3.37 | Applying alpha-rule on (405) yields:
% 11.83/3.37 | (406) all_0_123_123 = e21
% 11.83/3.37 | (407) ~ (all_0_121_121 = e20)
% 11.83/3.37 |
% 11.83/3.37 | Combining equations (406,372) yields a new equation:
% 11.83/3.37 | (408) e22 = e21
% 11.83/3.37 |
% 11.83/3.37 | Equations (408) can reduce 221 to:
% 11.83/3.37 | (359) $false
% 11.83/3.37 |
% 11.83/3.37 |-The branch is then unsatisfiable
% 11.83/3.37 |-Branch two:
% 11.83/3.37 | (545) ~ (all_0_122_122 = e21)
% 11.83/3.37 | (406) all_0_123_123 = e21
% 11.83/3.37 |
% 11.83/3.37 | Combining equations (372,406) yields a new equation:
% 11.83/3.37 | (452) e22 = e21
% 11.83/3.37 |
% 11.83/3.37 | Simplifying 452 yields:
% 11.83/3.37 | (408) e22 = e21
% 11.83/3.37 |
% 11.83/3.37 | Equations (408) can reduce 221 to:
% 11.83/3.37 | (359) $false
% 11.83/3.38 |
% 11.83/3.38 |-The branch is then unsatisfiable
% 11.83/3.38 |-Branch two:
% 11.83/3.38 | (550) ~ (all_0_116_116 = e21)
% 11.83/3.38 | (551) all_0_117_117 = e21 | all_0_118_118 = e21
% 11.83/3.38 |
% 11.83/3.38 +-Applying beta-rule and splitting (551), into two cases.
% 11.83/3.38 |-Branch one:
% 11.83/3.38 | (552) all_0_117_117 = e21
% 11.83/3.38 |
% 11.83/3.38 | Combining equations (552,391) yields a new equation:
% 11.83/3.38 | (408) e22 = e21
% 11.83/3.38 |
% 11.83/3.38 | Equations (408) can reduce 221 to:
% 11.83/3.38 | (359) $false
% 11.83/3.38 |
% 11.83/3.38 |-The branch is then unsatisfiable
% 11.83/3.38 |-Branch two:
% 11.83/3.38 | (555) ~ (all_0_117_117 = e21)
% 11.83/3.38 | (556) all_0_118_118 = e21
% 11.83/3.38 |
% 11.83/3.38 | Combining equations (456,556) yields a new equation:
% 11.83/3.38 | (557) e23 = e21
% 11.83/3.38 |
% 11.83/3.38 | Simplifying 557 yields:
% 11.83/3.38 | (528) e23 = e21
% 11.83/3.38 |
% 11.83/3.38 | Equations (528) can reduce 262 to:
% 11.83/3.38 | (359) $false
% 11.83/3.38 |
% 11.83/3.38 |-The branch is then unsatisfiable
% 11.83/3.38 |-Branch two:
% 11.83/3.38 | (407) ~ (all_0_121_121 = e20)
% 11.83/3.38 | (383) all_0_122_122 = e20
% 11.83/3.38 |
% 11.83/3.38 | Equations (383) can reduce 498 to:
% 11.83/3.38 | (359) $false
% 11.83/3.38 |
% 11.83/3.38 |-The branch is then unsatisfiable
% 11.83/3.38 |-Branch two:
% 11.83/3.38 | (563) ~ (all_0_113_113 = e23)
% 11.83/3.38 | (564) all_0_116_116 = e23 | all_0_119_119 = e23
% 11.83/3.38 |
% 11.83/3.38 +-Applying beta-rule and splitting (166), into two cases.
% 11.83/3.38 |-Branch one:
% 11.83/3.38 | (378) all_0_116_116 = e23
% 11.83/3.38 |
% 11.83/3.38 | Equations (378) can reduce 458 to:
% 11.83/3.38 | (359) $false
% 11.83/3.38 |
% 11.83/3.38 |-The branch is then unsatisfiable
% 11.83/3.38 |-Branch two:
% 11.83/3.38 | (458) ~ (all_0_116_116 = e23)
% 11.83/3.38 | (568) all_0_116_116 = e22 | all_0_116_116 = e21
% 11.83/3.38 |
% 11.83/3.38 +-Applying beta-rule and splitting (568), into two cases.
% 11.83/3.38 |-Branch one:
% 11.83/3.38 | (569) all_0_116_116 = e22
% 11.83/3.38 |
% 11.83/3.38 | Equations (569) can reduce 480 to:
% 11.83/3.38 | (359) $false
% 11.83/3.38 |
% 11.83/3.38 |-The branch is then unsatisfiable
% 11.83/3.38 |-Branch two:
% 11.83/3.38 | (480) ~ (all_0_116_116 = e22)
% 11.83/3.38 | (503) all_0_116_116 = e21
% 11.83/3.38 |
% 11.83/3.38 | Equations (503) can reduce 202 to:
% 11.83/3.38 | (573) ~ (all_0_121_121 = e21)
% 11.83/3.38 |
% 11.83/3.38 | Simplifying 573 yields:
% 11.83/3.38 | (515) ~ (all_0_121_121 = e21)
% 11.83/3.38 |
% 11.83/3.38 | Equations (503) can reduce 480 to:
% 11.83/3.38 | (413) ~ (e22 = e21)
% 11.83/3.38 |
% 11.83/3.38 | Simplifying 413 yields:
% 11.83/3.38 | (221) ~ (e22 = e21)
% 11.83/3.38 |
% 11.83/3.38 | Equations (503) can reduce 32 to:
% 11.83/3.38 | (303) ~ (e21 = e20)
% 11.83/3.38 |
% 11.83/3.38 +-Applying beta-rule and splitting (133), into two cases.
% 11.83/3.38 |-Branch one:
% 11.83/3.38 | (511) all_0_121_121 = e21
% 11.83/3.38 |
% 11.83/3.38 | Equations (511) can reduce 515 to:
% 11.83/3.38 | (359) $false
% 11.83/3.38 |
% 11.83/3.38 |-The branch is then unsatisfiable
% 11.83/3.38 |-Branch two:
% 11.83/3.38 | (515) ~ (all_0_121_121 = e21)
% 11.83/3.38 | (516) all_0_122_122 = e21 | all_0_123_123 = e21
% 11.83/3.38 |
% 11.83/3.38 +-Applying beta-rule and splitting (516), into two cases.
% 11.83/3.38 |-Branch one:
% 11.83/3.38 | (517) all_0_122_122 = e21
% 11.83/3.38 |
% 11.83/3.38 | Equations (517) can reduce 209 to:
% 11.83/3.38 | (583) ~ (e23 = e21)
% 11.83/3.38 |
% 11.83/3.38 | Simplifying 583 yields:
% 11.83/3.38 | (262) ~ (e23 = e21)
% 11.83/3.38 |
% 11.83/3.38 +-Applying beta-rule and splitting (301), into two cases.
% 11.83/3.38 |-Branch one:
% 11.83/3.38 | (440) all_0_121_121 = e20
% 11.83/3.38 |
% 11.83/3.38 | Equations (440) can reduce 87 to:
% 11.83/3.38 | (402) ~ (all_0_113_113 = e20)
% 11.83/3.38 |
% 11.83/3.38 +-Applying beta-rule and splitting (288), into two cases.
% 11.83/3.38 |-Branch one:
% 11.83/3.38 | (388) all_0_113_113 = e20
% 11.83/3.38 |
% 11.83/3.38 | Equations (388) can reduce 402 to:
% 11.83/3.38 | (359) $false
% 11.83/3.38 |
% 11.83/3.38 |-The branch is then unsatisfiable
% 11.83/3.38 |-Branch two:
% 11.83/3.38 | (402) ~ (all_0_113_113 = e20)
% 11.83/3.38 | (403) all_0_114_114 = e20
% 11.83/3.38 |
% 11.83/3.38 | Equations (403) can reduce 354 to:
% 11.83/3.38 | (591) ~ (e23 = e20)
% 11.83/3.38 |
% 11.83/3.38 | Simplifying 591 yields:
% 11.83/3.38 | (249) ~ (e23 = e20)
% 11.83/3.38 |
% 11.83/3.38 +-Applying beta-rule and splitting (123), into two cases.
% 11.83/3.38 |-Branch one:
% 11.83/3.38 | (491) all_0_113_113 = e23
% 11.83/3.38 |
% 11.83/3.38 | Equations (491) can reduce 563 to:
% 11.83/3.38 | (359) $false
% 11.83/3.38 |
% 11.83/3.38 |-The branch is then unsatisfiable
% 11.83/3.38 |-Branch two:
% 11.83/3.38 | (563) ~ (all_0_113_113 = e23)
% 11.83/3.38 | (596) all_0_114_114 = e23 | all_0_115_115 = e23
% 11.83/3.38 |
% 11.83/3.38 +-Applying beta-rule and splitting (596), into two cases.
% 11.83/3.38 |-Branch one:
% 11.83/3.38 | (377) all_0_114_114 = e23
% 11.83/3.38 |
% 11.83/3.38 | Combining equations (403,377) yields a new equation:
% 11.83/3.38 | (527) e23 = e20
% 11.83/3.38 |
% 11.83/3.38 | Equations (527) can reduce 249 to:
% 11.83/3.38 | (359) $false
% 11.83/3.38 |
% 11.83/3.38 |-The branch is then unsatisfiable
% 11.83/3.38 |-Branch two:
% 11.83/3.38 | (354) ~ (all_0_114_114 = e23)
% 11.83/3.38 | (368) all_0_115_115 = e23
% 11.83/3.38 |
% 11.83/3.38 | Combining equations (465,368) yields a new equation:
% 11.83/3.38 | (528) e23 = e21
% 11.83/3.38 |
% 11.83/3.38 | Equations (528) can reduce 262 to:
% 11.83/3.38 | (359) $false
% 11.83/3.38 |
% 11.83/3.38 |-The branch is then unsatisfiable
% 11.83/3.38 |-Branch two:
% 11.83/3.38 | (407) ~ (all_0_121_121 = e20)
% 11.83/3.38 | (383) all_0_122_122 = e20
% 11.83/3.38 |
% 11.83/3.38 | Combining equations (517,383) yields a new equation:
% 11.83/3.38 | (512) e21 = e20
% 11.83/3.38 |
% 11.83/3.38 | Simplifying 512 yields:
% 11.83/3.38 | (513) e21 = e20
% 11.83/3.38 |
% 11.83/3.38 | Equations (513) can reduce 303 to:
% 11.83/3.38 | (359) $false
% 11.83/3.38 |
% 11.83/3.38 |-The branch is then unsatisfiable
% 11.83/3.38 |-Branch two:
% 11.83/3.38 | (545) ~ (all_0_122_122 = e21)
% 11.83/3.38 | (406) all_0_123_123 = e21
% 11.83/3.38 |
% 11.83/3.38 | Combining equations (406,372) yields a new equation:
% 11.83/3.38 | (408) e22 = e21
% 11.83/3.38 |
% 11.83/3.38 | Equations (408) can reduce 221 to:
% 11.83/3.38 | (359) $false
% 11.83/3.38 |
% 11.83/3.38 |-The branch is then unsatisfiable
% 11.83/3.38 |-Branch two:
% 11.83/3.38 | (379) ~ (all_0_117_117 = e22)
% 11.83/3.38 | (394) all_0_120_120 = e22 | all_0_122_122 = e22
% 11.83/3.38 |
% 11.83/3.38 +-Applying beta-rule and splitting (340), into two cases.
% 11.83/3.38 |-Branch one:
% 11.83/3.38 | (615) all_0_117_117 = e23
% 11.83/3.38 |
% 11.83/3.38 | Equations (615) can reduce 459 to:
% 11.83/3.38 | (359) $false
% 11.83/3.38 |
% 11.83/3.38 |-The branch is then unsatisfiable
% 11.83/3.38 |-Branch two:
% 11.83/3.38 | (459) ~ (all_0_117_117 = e23)
% 11.83/3.38 | (618) all_0_117_117 = e22 | all_0_117_117 = e21
% 11.83/3.38 |
% 11.83/3.38 +-Applying beta-rule and splitting (618), into two cases.
% 11.83/3.38 |-Branch one:
% 11.83/3.38 | (391) all_0_117_117 = e22
% 11.83/3.38 |
% 11.83/3.38 | Equations (391) can reduce 379 to:
% 11.83/3.38 | (359) $false
% 11.83/3.38 |
% 11.83/3.38 |-The branch is then unsatisfiable
% 11.83/3.38 |-Branch two:
% 11.83/3.38 | (379) ~ (all_0_117_117 = e22)
% 11.83/3.38 | (552) all_0_117_117 = e21
% 11.83/3.38 |
% 11.83/3.38 | Equations (552) can reduce 379 to:
% 11.83/3.38 | (413) ~ (e22 = e21)
% 11.83/3.38 |
% 11.83/3.38 | Simplifying 413 yields:
% 11.83/3.38 | (221) ~ (e22 = e21)
% 11.83/3.38 |
% 11.83/3.38 +-Applying beta-rule and splitting (36), into two cases.
% 11.83/3.38 |-Branch one:
% 11.83/3.38 | (375) (all_0_114_114 = e23 & all_0_116_116 = e23 & ~ (all_0_117_117 = e22) & ( ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22))) | (all_0_122_122 = e20 & ~ (all_0_117_117 = e22) & ( ~ (all_0_116_116 = e22) | ~ (all_0_117_117 = e23)) & ( ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22)))
% 11.83/3.38 |
% 11.83/3.38 +-Applying beta-rule and splitting (375), into two cases.
% 11.83/3.38 |-Branch one:
% 11.83/3.38 | (376) all_0_114_114 = e23 & all_0_116_116 = e23 & ~ (all_0_117_117 = e22) & ( ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22))
% 11.83/3.38 |
% 11.83/3.38 | Applying alpha-rule on (376) yields:
% 11.83/3.38 | (377) all_0_114_114 = e23
% 11.83/3.38 | (378) all_0_116_116 = e23
% 11.83/3.39 | (379) ~ (all_0_117_117 = e22)
% 11.83/3.39 | (380) ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22)
% 11.83/3.39 |
% 11.83/3.39 | Equations (378) can reduce 458 to:
% 11.83/3.39 | (359) $false
% 11.83/3.39 |
% 11.83/3.39 |-The branch is then unsatisfiable
% 11.83/3.39 |-Branch two:
% 11.83/3.39 | (382) all_0_122_122 = e20 & ~ (all_0_117_117 = e22) & ( ~ (all_0_116_116 = e22) | ~ (all_0_117_117 = e23)) & ( ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22))
% 11.83/3.39 |
% 11.83/3.39 | Applying alpha-rule on (382) yields:
% 11.83/3.39 | (383) all_0_122_122 = e20
% 11.83/3.39 | (379) ~ (all_0_117_117 = e22)
% 11.83/3.39 | (385) ~ (all_0_116_116 = e22) | ~ (all_0_117_117 = e23)
% 11.83/3.39 | (380) ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22)
% 11.83/3.39 |
% 11.83/3.39 | Equations (383) can reduce 223 to:
% 11.83/3.39 | (407) ~ (all_0_121_121 = e20)
% 11.83/3.39 |
% 11.83/3.39 +-Applying beta-rule and splitting (300), into two cases.
% 11.83/3.39 |-Branch one:
% 11.83/3.39 | (388) all_0_113_113 = e20
% 11.83/3.39 |
% 11.83/3.39 | Equations (388) can reduce 344 to:
% 11.83/3.39 | (389) ~ (e22 = e20)
% 11.83/3.39 |
% 11.83/3.39 | Simplifying 389 yields:
% 11.83/3.39 | (100) ~ (e22 = e20)
% 11.83/3.39 |
% 11.83/3.39 +-Applying beta-rule and splitting (394), into two cases.
% 11.83/3.39 |-Branch one:
% 11.83/3.39 | (395) all_0_120_120 = e22
% 11.83/3.39 |
% 11.83/3.39 | Combining equations (353,395) yields a new equation:
% 11.83/3.39 | (471) e23 = e22
% 11.83/3.39 |
% 11.83/3.39 | Simplifying 471 yields:
% 11.83/3.39 | (396) e23 = e22
% 11.83/3.39 |
% 11.83/3.39 | Equations (396) can reduce 22 to:
% 11.83/3.39 | (359) $false
% 11.83/3.39 |
% 11.83/3.39 |-The branch is then unsatisfiable
% 11.83/3.39 |-Branch two:
% 11.83/3.39 | (398) ~ (all_0_120_120 = e22)
% 11.83/3.39 | (399) all_0_122_122 = e22
% 11.83/3.39 |
% 11.83/3.39 | Combining equations (383,399) yields a new equation:
% 11.83/3.39 | (400) e22 = e20
% 11.83/3.39 |
% 11.83/3.39 | Equations (400) can reduce 100 to:
% 11.83/3.39 | (359) $false
% 11.83/3.39 |
% 11.83/3.39 |-The branch is then unsatisfiable
% 11.83/3.39 |-Branch two:
% 11.83/3.39 | (402) ~ (all_0_113_113 = e20)
% 11.83/3.39 | (440) all_0_121_121 = e20
% 11.83/3.39 |
% 11.83/3.39 | Equations (440) can reduce 407 to:
% 11.83/3.39 | (359) $false
% 11.83/3.39 |
% 11.83/3.39 |-The branch is then unsatisfiable
% 11.83/3.39 |-Branch two:
% 11.83/3.39 | (405) all_0_123_123 = e21 & ~ (all_0_121_121 = e20)
% 11.83/3.39 |
% 11.83/3.39 | Applying alpha-rule on (405) yields:
% 11.83/3.39 | (406) all_0_123_123 = e21
% 11.83/3.39 | (407) ~ (all_0_121_121 = e20)
% 11.83/3.39 |
% 11.83/3.39 | Combining equations (406,372) yields a new equation:
% 11.83/3.39 | (408) e22 = e21
% 11.83/3.39 |
% 11.83/3.39 | Equations (408) can reduce 221 to:
% 11.83/3.39 | (359) $false
% 11.83/3.39 |
% 11.83/3.39 |-The branch is then unsatisfiable
% 11.83/3.39 |-Branch two:
% 11.83/3.39 | (657) ~ (all_0_120_120 = e23)
% 11.83/3.39 | (395) all_0_120_120 = e22
% 11.83/3.39 |
% 11.83/3.39 | Equations (395) can reduce 275 to:
% 11.83/3.39 | (152) ~ (all_0_114_114 = e22)
% 11.83/3.39 |
% 11.83/3.39 | Equations (395) can reduce 245 to:
% 11.83/3.39 | (379) ~ (all_0_117_117 = e22)
% 11.83/3.39 |
% 11.83/3.39 | Equations (395) can reduce 144 to:
% 11.83/3.39 | (481) ~ (all_0_122_122 = e22)
% 11.83/3.39 |
% 11.83/3.39 | Simplifying 481 yields:
% 11.83/3.39 | (446) ~ (all_0_122_122 = e22)
% 11.83/3.39 |
% 11.83/3.39 | Equations (395) can reduce 657 to:
% 11.83/3.39 | (365) ~ (e23 = e22)
% 11.83/3.39 |
% 11.83/3.39 | Simplifying 365 yields:
% 11.83/3.39 | (22) ~ (e23 = e22)
% 11.83/3.39 |
% 11.83/3.39 | Equations (395) can reduce 2 to:
% 11.83/3.39 | (221) ~ (e22 = e21)
% 11.83/3.39 |
% 11.83/3.39 +-Applying beta-rule and splitting (338), into two cases.
% 11.83/3.39 |-Branch one:
% 11.83/3.39 | (358) all_0_119_119 = e23
% 11.83/3.39 |
% 11.83/3.39 | Equations (358) can reduce 56 to:
% 11.83/3.39 | (563) ~ (all_0_113_113 = e23)
% 11.83/3.39 |
% 11.83/3.39 | Equations (358) can reduce 220 to:
% 11.83/3.39 | (458) ~ (all_0_116_116 = e23)
% 11.83/3.39 |
% 11.83/3.39 +-Applying beta-rule and splitting (89), into two cases.
% 11.83/3.39 |-Branch one:
% 11.83/3.39 | (368) all_0_115_115 = e23
% 11.83/3.39 |
% 11.83/3.39 | Equations (368) can reduce 76 to:
% 11.83/3.39 | (670) ~ (all_0_118_118 = e23)
% 11.83/3.39 |
% 11.83/3.39 | Simplifying 670 yields:
% 11.83/3.39 | (671) ~ (all_0_118_118 = e23)
% 11.83/3.39 |
% 11.83/3.39 +-Applying beta-rule and splitting (21), into two cases.
% 11.83/3.39 |-Branch one:
% 11.83/3.39 | (378) all_0_116_116 = e23
% 11.83/3.39 |
% 11.83/3.39 | Equations (378) can reduce 458 to:
% 11.83/3.39 | (359) $false
% 11.83/3.39 |
% 11.83/3.39 |-The branch is then unsatisfiable
% 11.83/3.39 |-Branch two:
% 11.83/3.39 | (458) ~ (all_0_116_116 = e23)
% 11.83/3.39 | (675) all_0_117_117 = e23 | all_0_118_118 = e23
% 11.83/3.39 |
% 11.83/3.39 +-Applying beta-rule and splitting (675), into two cases.
% 11.83/3.39 |-Branch one:
% 11.83/3.39 | (615) all_0_117_117 = e23
% 11.83/3.39 |
% 11.83/3.39 | Equations (615) can reduce 176 to:
% 11.83/3.39 | (354) ~ (all_0_114_114 = e23)
% 11.83/3.39 |
% 11.83/3.39 | Equations (615) can reduce 277 to:
% 11.83/3.39 | (458) ~ (all_0_116_116 = e23)
% 11.83/3.39 |
% 11.83/3.39 | Equations (615) can reduce 75 to:
% 11.83/3.39 | (670) ~ (all_0_118_118 = e23)
% 11.83/3.39 |
% 11.83/3.39 | Simplifying 670 yields:
% 11.83/3.39 | (671) ~ (all_0_118_118 = e23)
% 11.83/3.39 |
% 11.83/3.39 +-Applying beta-rule and splitting (239), into two cases.
% 11.83/3.39 |-Branch one:
% 11.83/3.39 | (372) all_0_123_123 = e22
% 11.83/3.39 |
% 11.83/3.39 | Equations (372) can reduce 200 to:
% 11.83/3.39 | (450) ~ (all_0_118_118 = e22)
% 11.83/3.39 |
% 11.83/3.39 +-Applying beta-rule and splitting (36), into two cases.
% 11.83/3.39 |-Branch one:
% 11.83/3.39 | (375) (all_0_114_114 = e23 & all_0_116_116 = e23 & ~ (all_0_117_117 = e22) & ( ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22))) | (all_0_122_122 = e20 & ~ (all_0_117_117 = e22) & ( ~ (all_0_116_116 = e22) | ~ (all_0_117_117 = e23)) & ( ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22)))
% 11.83/3.39 |
% 11.83/3.39 +-Applying beta-rule and splitting (375), into two cases.
% 11.83/3.39 |-Branch one:
% 11.83/3.39 | (376) all_0_114_114 = e23 & all_0_116_116 = e23 & ~ (all_0_117_117 = e22) & ( ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22))
% 11.83/3.39 |
% 11.83/3.39 | Applying alpha-rule on (376) yields:
% 11.83/3.39 | (377) all_0_114_114 = e23
% 11.83/3.39 | (378) all_0_116_116 = e23
% 11.83/3.39 | (379) ~ (all_0_117_117 = e22)
% 11.83/3.39 | (380) ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22)
% 11.83/3.39 |
% 11.83/3.39 | Equations (378) can reduce 458 to:
% 11.83/3.39 | (359) $false
% 11.83/3.39 |
% 11.83/3.39 |-The branch is then unsatisfiable
% 11.83/3.39 |-Branch two:
% 11.83/3.39 | (382) all_0_122_122 = e20 & ~ (all_0_117_117 = e22) & ( ~ (all_0_116_116 = e22) | ~ (all_0_117_117 = e23)) & ( ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22))
% 11.83/3.39 |
% 11.83/3.39 | Applying alpha-rule on (382) yields:
% 11.83/3.39 | (383) all_0_122_122 = e20
% 11.83/3.39 | (379) ~ (all_0_117_117 = e22)
% 11.83/3.39 | (385) ~ (all_0_116_116 = e22) | ~ (all_0_117_117 = e23)
% 11.83/3.39 | (380) ~ (all_0_117_117 = e21) | ~ (all_0_118_118 = e22)
% 11.83/3.39 |
% 11.83/3.39 | Equations (615) can reduce 379 to:
% 11.83/3.39 | (22) ~ (e23 = e22)
% 11.83/3.39 |
% 11.83/3.39 +-Applying beta-rule and splitting (385), into two cases.
% 11.83/3.39 |-Branch one:
% 11.83/3.39 | (459) ~ (all_0_117_117 = e23)
% 11.83/3.39 |
% 11.83/3.39 | Equations (615) can reduce 459 to:
% 11.83/3.39 | (359) $false
% 11.83/3.39 |
% 11.83/3.39 |-The branch is then unsatisfiable
% 11.83/3.39 |-Branch two:
% 11.83/3.39 | (615) all_0_117_117 = e23
% 11.83/3.39 | (480) ~ (all_0_116_116 = e22)
% 11.83/3.39 |
% 11.83/3.39 +-Applying beta-rule and splitting (147), into two cases.
% 11.83/3.39 |-Branch one:
% 11.83/3.39 | (569) all_0_116_116 = e22
% 11.83/3.39 |
% 11.83/3.39 | Equations (569) can reduce 480 to:
% 11.83/3.39 | (359) $false
% 11.83/3.39 |
% 11.83/3.39 |-The branch is then unsatisfiable
% 11.83/3.39 |-Branch two:
% 11.83/3.39 | (480) ~ (all_0_116_116 = e22)
% 11.83/3.39 | (703) all_0_117_117 = e22 | all_0_118_118 = e22
% 11.83/3.39 |
% 11.83/3.39 +-Applying beta-rule and splitting (703), into two cases.
% 11.83/3.39 |-Branch one:
% 11.83/3.39 | (391) all_0_117_117 = e22
% 11.83/3.39 |
% 11.83/3.39 | Combining equations (615,391) yields a new equation:
% 11.83/3.39 | (471) e23 = e22
% 11.83/3.39 |
% 11.83/3.39 | Simplifying 471 yields:
% 11.83/3.39 | (396) e23 = e22
% 11.83/3.39 |
% 11.83/3.39 | Equations (396) can reduce 22 to:
% 11.83/3.39 | (359) $false
% 11.83/3.39 |
% 11.83/3.39 |-The branch is then unsatisfiable
% 11.83/3.39 |-Branch two:
% 11.83/3.39 | (379) ~ (all_0_117_117 = e22)
% 11.83/3.39 | (415) all_0_118_118 = e22
% 11.83/3.39 |
% 11.83/3.39 | Equations (415) can reduce 450 to:
% 11.83/3.39 | (359) $false
% 11.83/3.39 |
% 11.83/3.39 |-The branch is then unsatisfiable
% 11.83/3.39 |-Branch two:
% 11.83/3.40 | (405) all_0_123_123 = e21 & ~ (all_0_121_121 = e20)
% 11.83/3.40 |
% 11.83/3.40 | Applying alpha-rule on (405) yields:
% 11.83/3.40 | (406) all_0_123_123 = e21
% 11.83/3.40 | (407) ~ (all_0_121_121 = e20)
% 11.83/3.40 |
% 11.83/3.40 | Combining equations (406,372) yields a new equation:
% 11.83/3.40 | (408) e22 = e21
% 11.83/3.40 |
% 11.83/3.40 | Equations (408) can reduce 221 to:
% 11.83/3.40 | (359) $false
% 11.83/3.40 |
% 11.83/3.40 |-The branch is then unsatisfiable
% 11.83/3.40 |-Branch two:
% 11.83/3.40 | (410) ~ (all_0_123_123 = e22)
% 11.83/3.40 | (406) all_0_123_123 = e21
% 11.83/3.40 |
% 11.83/3.40 | Equations (406) can reduce 260 to:
% 11.83/3.40 | (545) ~ (all_0_122_122 = e21)
% 11.83/3.40 |
% 11.83/3.40 | Equations (406) can reduce 410 to:
% 11.83/3.40 | (413) ~ (e22 = e21)
% 11.83/3.40 |
% 11.83/3.40 | Simplifying 413 yields:
% 11.83/3.40 | (221) ~ (e22 = e21)
% 11.83/3.40 |
% 11.83/3.40 +-Applying beta-rule and splitting (264), into two cases.
% 11.83/3.40 |-Branch one:
% 11.83/3.40 | (415) all_0_118_118 = e22
% 11.83/3.40 |
% 11.83/3.40 | Equations (415) can reduce 77 to:
% 11.83/3.40 | (480) ~ (all_0_116_116 = e22)
% 11.83/3.40 |
% 11.83/3.40 | Equations (415) can reduce 671 to:
% 11.83/3.40 | (365) ~ (e23 = e22)
% 11.83/3.40 |
% 11.83/3.40 | Simplifying 365 yields:
% 11.83/3.40 | (22) ~ (e23 = e22)
% 11.83/3.40 |
% 11.83/3.40 +-Applying beta-rule and splitting (48), into two cases.
% 11.83/3.40 |-Branch one:
% 11.83/3.40 | (399) all_0_122_122 = e22
% 11.83/3.40 |
% 11.83/3.40 | Equations (399) can reduce 446 to:
% 11.83/3.40 | (359) $false
% 11.83/3.40 |
% 11.83/3.40 |-The branch is then unsatisfiable
% 11.83/3.40 |-Branch two:
% 11.83/3.40 | (446) ~ (all_0_122_122 = e22)
% 11.83/3.40 | (510) all_0_122_122 = e21 | all_0_122_122 = e20
% 11.83/3.40 |
% 11.83/3.40 +-Applying beta-rule and splitting (510), into two cases.
% 11.83/3.40 |-Branch one:
% 11.83/3.40 | (517) all_0_122_122 = e21
% 11.83/3.40 |
% 11.83/3.40 | Equations (517) can reduce 545 to:
% 11.83/3.40 | (359) $false
% 11.83/3.40 |
% 11.83/3.40 |-The branch is then unsatisfiable
% 11.83/3.40 |-Branch two:
% 11.83/3.40 | (545) ~ (all_0_122_122 = e21)
% 11.83/3.40 | (383) all_0_122_122 = e20
% 11.83/3.40 |
% 11.83/3.40 | Equations (383) can reduce 110 to:
% 11.83/3.40 | (387) ~ (all_0_114_114 = e20)
% 11.83/3.40 |
% 11.83/3.40 +-Applying beta-rule and splitting (166), into two cases.
% 11.83/3.40 |-Branch one:
% 11.83/3.40 | (378) all_0_116_116 = e23
% 11.83/3.40 |
% 11.83/3.40 | Equations (378) can reduce 458 to:
% 11.83/3.40 | (359) $false
% 11.83/3.40 |
% 11.83/3.40 |-The branch is then unsatisfiable
% 11.83/3.40 |-Branch two:
% 11.83/3.40 | (458) ~ (all_0_116_116 = e23)
% 11.83/3.40 | (568) all_0_116_116 = e22 | all_0_116_116 = e21
% 11.83/3.40 |
% 11.83/3.40 +-Applying beta-rule and splitting (240), into two cases.
% 11.83/3.40 |-Branch one:
% 11.83/3.40 | (377) all_0_114_114 = e23
% 11.83/3.40 |
% 11.83/3.40 | Equations (377) can reduce 354 to:
% 11.83/3.40 | (359) $false
% 11.83/3.40 |
% 11.83/3.40 |-The branch is then unsatisfiable
% 11.83/3.40 |-Branch two:
% 11.83/3.40 | (354) ~ (all_0_114_114 = e23)
% 11.83/3.40 | (490) all_0_114_114 = e21 | all_0_114_114 = e20
% 11.83/3.40 |
% 11.83/3.40 +-Applying beta-rule and splitting (129), into two cases.
% 11.83/3.40 |-Branch one:
% 11.83/3.40 | (569) all_0_116_116 = e22
% 11.83/3.40 |
% 11.83/3.40 | Equations (569) can reduce 480 to:
% 11.83/3.40 | (359) $false
% 11.83/3.40 |
% 11.83/3.40 |-The branch is then unsatisfiable
% 11.83/3.40 |-Branch two:
% 11.83/3.40 | (480) ~ (all_0_116_116 = e22)
% 11.83/3.40 | (745) all_0_119_119 = e22 | all_0_121_121 = e22
% 11.83/3.40 |
% 11.83/3.40 +-Applying beta-rule and splitting (490), into two cases.
% 11.83/3.40 |-Branch one:
% 11.83/3.40 | (483) all_0_114_114 = e21
% 11.83/3.40 |
% 11.83/3.40 | Equations (483) can reduce 387 to:
% 11.83/3.40 | (303) ~ (e21 = e20)
% 11.83/3.40 |
% 11.83/3.40 +-Applying beta-rule and splitting (745), into two cases.
% 11.83/3.40 |-Branch one:
% 11.83/3.40 | (361) all_0_119_119 = e22
% 11.83/3.40 |
% 11.83/3.40 | Combining equations (358,361) yields a new equation:
% 11.83/3.40 | (471) e23 = e22
% 11.83/3.40 |
% 11.83/3.40 | Simplifying 471 yields:
% 11.83/3.40 | (396) e23 = e22
% 11.83/3.40 |
% 11.83/3.40 | Equations (396) can reduce 22 to:
% 11.83/3.40 | (359) $false
% 11.83/3.40 |
% 11.83/3.40 |-The branch is then unsatisfiable
% 11.83/3.40 |-Branch two:
% 11.83/3.40 | (752) ~ (all_0_119_119 = e22)
% 11.83/3.40 | (418) all_0_121_121 = e22
% 11.83/3.40 |
% 11.83/3.40 | Equations (418) can reduce 202 to:
% 11.83/3.40 | (480) ~ (all_0_116_116 = e22)
% 11.83/3.40 |
% 11.83/3.40 +-Applying beta-rule and splitting (288), into two cases.
% 11.83/3.40 |-Branch one:
% 11.83/3.40 | (388) all_0_113_113 = e20
% 11.83/3.40 |
% 11.83/3.40 +-Applying beta-rule and splitting (568), into two cases.
% 11.83/3.40 |-Branch one:
% 11.83/3.40 | (569) all_0_116_116 = e22
% 11.83/3.40 |
% 11.83/3.40 | Equations (569) can reduce 480 to:
% 11.83/3.40 | (359) $false
% 11.83/3.40 |
% 11.83/3.40 |-The branch is then unsatisfiable
% 11.83/3.40 |-Branch two:
% 11.83/3.40 | (480) ~ (all_0_116_116 = e22)
% 11.83/3.40 | (503) all_0_116_116 = e21
% 11.83/3.40 |
% 11.83/3.40 +-Applying beta-rule and splitting (7), into two cases.
% 11.83/3.40 |-Branch one:
% 11.83/3.40 | (760) all_0_134_134 = e12
% 11.83/3.40 |
% 11.83/3.40 | Equations (760) can reduce 169 to:
% 11.83/3.40 | (761) ~ (all_0_132_132 = e12)
% 11.83/3.40 |
% 11.83/3.40 | Equations (760) can reduce 180 to:
% 11.83/3.40 | (762) ~ (all_0_133_133 = e12)
% 11.83/3.40 |
% 11.83/3.40 +-Applying beta-rule and splitting (72), into two cases.
% 11.83/3.40 |-Branch one:
% 11.83/3.40 | (763) all_0_131_131 = e12
% 11.83/3.40 |
% 11.83/3.40 | Equations (763) can reduce 350 to:
% 11.83/3.40 | (38) ~ (all_0_125_125 = e12)
% 11.83/3.40 |
% 11.83/3.40 | Equations (763) can reduce 324 to:
% 11.83/3.40 | (765) ~ (all_0_130_130 = e12)
% 11.83/3.40 |
% 11.83/3.40 | Equations (763) can reduce 306 to:
% 11.83/3.40 | (291) ~ (e12 = e11)
% 11.83/3.40 |
% 11.83/3.40 +-Applying beta-rule and splitting (94), into two cases.
% 11.83/3.40 |-Branch one:
% 11.83/3.40 | (767) all_0_130_130 = e12
% 11.83/3.40 |
% 11.83/3.40 | Equations (767) can reduce 765 to:
% 11.83/3.40 | (359) $false
% 11.83/3.40 |
% 11.83/3.40 |-The branch is then unsatisfiable
% 11.83/3.40 |-Branch two:
% 11.83/3.40 | (765) ~ (all_0_130_130 = e12)
% 11.83/3.40 | (770) all_0_130_130 = e13
% 11.83/3.40 |
% 11.83/3.40 | Equations (770) can reduce 230 to:
% 11.83/3.40 | (771) ~ (all_0_127_127 = e13)
% 11.83/3.40 |
% 11.83/3.40 +-Applying beta-rule and splitting (250), into two cases.
% 11.83/3.40 |-Branch one:
% 11.83/3.40 | (772) (all_0_125_125 = e13 & all_0_127_127 = e13 & ~ (all_0_128_128 = e12) & ( ~ (all_0_128_128 = e11) | ~ (all_0_129_129 = e12))) | (all_0_133_133 = e10 & ~ (all_0_128_128 = e12) & ( ~ (all_0_127_127 = e12) | ~ (all_0_128_128 = e13)) & ( ~ (all_0_128_128 = e11) | ~ (all_0_129_129 = e12)))
% 11.83/3.40 |
% 11.83/3.40 +-Applying beta-rule and splitting (772), into two cases.
% 11.83/3.40 |-Branch one:
% 11.83/3.40 | (773) all_0_125_125 = e13 & all_0_127_127 = e13 & ~ (all_0_128_128 = e12) & ( ~ (all_0_128_128 = e11) | ~ (all_0_129_129 = e12))
% 11.83/3.40 |
% 11.83/3.40 | Applying alpha-rule on (773) yields:
% 11.83/3.40 | (774) all_0_125_125 = e13
% 11.83/3.40 | (775) all_0_127_127 = e13
% 11.83/3.40 | (776) ~ (all_0_128_128 = e12)
% 11.83/3.40 | (777) ~ (all_0_128_128 = e11) | ~ (all_0_129_129 = e12)
% 11.83/3.40 |
% 11.83/3.40 | Equations (775) can reduce 771 to:
% 11.83/3.40 | (359) $false
% 11.83/3.40 |
% 11.83/3.40 |-The branch is then unsatisfiable
% 11.83/3.40 |-Branch two:
% 11.83/3.40 | (779) all_0_133_133 = e10 & ~ (all_0_128_128 = e12) & ( ~ (all_0_127_127 = e12) | ~ (all_0_128_128 = e13)) & ( ~ (all_0_128_128 = e11) | ~ (all_0_129_129 = e12))
% 11.83/3.40 |
% 11.83/3.40 | Applying alpha-rule on (779) yields:
% 11.83/3.40 | (780) all_0_133_133 = e10
% 11.83/3.40 | (776) ~ (all_0_128_128 = e12)
% 11.83/3.40 | (782) ~ (all_0_127_127 = e12) | ~ (all_0_128_128 = e13)
% 11.83/3.40 | (777) ~ (all_0_128_128 = e11) | ~ (all_0_129_129 = e12)
% 11.83/3.40 |
% 11.83/3.40 | Equations (780) can reduce 241 to:
% 11.83/3.40 | (205) ~ (all_0_128_128 = e10)
% 11.83/3.40 |
% 11.83/3.40 | Equations (780) can reduce 51 to:
% 11.83/3.40 | (785) ~ (all_0_132_132 = e10)
% 11.83/3.40 |
% 11.83/3.40 +-Applying beta-rule and splitting (118), into two cases.
% 11.83/3.40 |-Branch one:
% 11.83/3.40 | (786) all_0_124_124 = e10
% 11.83/3.40 |
% 11.83/3.40 | Equations (786) can reduce 74 to:
% 11.83/3.40 | (787) ~ (all_0_132_132 = e10)
% 11.83/3.40 |
% 11.83/3.40 | Simplifying 787 yields:
% 11.83/3.40 | (785) ~ (all_0_132_132 = e10)
% 11.83/3.40 |
% 11.83/3.40 +-Applying beta-rule and splitting (157), into two cases.
% 11.83/3.40 |-Branch one:
% 11.83/3.40 | (789) all_0_132_132 = e12
% 11.83/3.40 |
% 11.83/3.40 | Equations (789) can reduce 761 to:
% 11.83/3.40 | (359) $false
% 11.83/3.40 |
% 11.83/3.40 |-The branch is then unsatisfiable
% 11.83/3.40 |-Branch two:
% 11.83/3.40 | (761) ~ (all_0_132_132 = e12)
% 11.83/3.41 | (792) all_0_132_132 = e11 | all_0_132_132 = e10
% 11.83/3.41 |
% 11.83/3.41 +-Applying beta-rule and splitting (792), into two cases.
% 11.83/3.41 |-Branch one:
% 11.83/3.41 | (793) all_0_132_132 = e11
% 11.83/3.41 |
% 11.83/3.41 | Equations (793) can reduce 330 to:
% 11.83/3.41 | (794) ~ (all_0_127_127 = e11)
% 11.83/3.41 |
% 11.83/3.41 +-Applying beta-rule and splitting (339), into two cases.
% 11.83/3.41 |-Branch one:
% 11.83/3.41 | (795) all_0_127_127 = e12
% 11.83/3.41 |
% 11.83/3.41 | Equations (795) can reduce 175 to:
% 11.83/3.41 | (796) ~ (all_0_128_128 = e12)
% 11.83/3.41 |
% 11.83/3.41 | Simplifying 796 yields:
% 11.83/3.41 | (776) ~ (all_0_128_128 = e12)
% 11.83/3.41 |
% 11.83/3.41 | Equations (795) can reduce 771 to:
% 11.83/3.41 | (798) ~ (e13 = e12)
% 11.83/3.41 |
% 11.83/3.41 | Simplifying 798 yields:
% 11.83/3.41 | (270) ~ (e13 = e12)
% 11.83/3.41 |
% 11.83/3.41 | From (795) and (280) follows:
% 11.83/3.41 | (800) op1(e12, e12) = all_0_105_105
% 11.83/3.41 |
% 11.83/3.41 +-Applying beta-rule and splitting (782), into two cases.
% 11.83/3.41 |-Branch one:
% 11.83/3.41 | (801) ~ (all_0_127_127 = e12)
% 11.83/3.41 |
% 11.83/3.41 | Equations (795) can reduce 801 to:
% 11.83/3.41 | (359) $false
% 11.83/3.41 |
% 11.83/3.41 |-The branch is then unsatisfiable
% 11.83/3.41 |-Branch two:
% 11.83/3.41 | (795) all_0_127_127 = e12
% 11.83/3.41 | (804) ~ (all_0_128_128 = e13)
% 11.83/3.41 |
% 11.83/3.41 +-Applying beta-rule and splitting (5), into two cases.
% 11.83/3.41 |-Branch one:
% 11.83/3.41 | (775) all_0_127_127 = e13
% 11.83/3.41 |
% 11.83/3.41 | Combining equations (795,775) yields a new equation:
% 11.83/3.41 | (806) e13 = e12
% 11.83/3.41 |
% 11.83/3.41 | Equations (806) can reduce 270 to:
% 11.83/3.41 | (359) $false
% 11.83/3.41 |
% 11.83/3.41 |-The branch is then unsatisfiable
% 11.83/3.41 |-Branch two:
% 11.83/3.41 | (771) ~ (all_0_127_127 = e13)
% 11.83/3.41 | (809) all_0_128_128 = e13 | all_0_129_129 = e13
% 11.83/3.41 |
% 11.83/3.41 +-Applying beta-rule and splitting (320), into two cases.
% 11.83/3.41 |-Branch one:
% 11.83/3.41 | (810) all_0_128_128 = e12
% 11.83/3.41 |
% 11.83/3.41 | Equations (810) can reduce 776 to:
% 11.83/3.41 | (359) $false
% 11.83/3.41 |
% 11.83/3.41 |-The branch is then unsatisfiable
% 11.83/3.41 |-Branch two:
% 11.83/3.41 | (776) ~ (all_0_128_128 = e12)
% 12.12/3.41 | (813) all_0_128_128 = e13 | all_0_128_128 = e11
% 12.12/3.41 |
% 12.12/3.41 +-Applying beta-rule and splitting (809), into two cases.
% 12.12/3.41 |-Branch one:
% 12.12/3.41 | (814) all_0_128_128 = e13
% 12.12/3.41 |
% 12.12/3.41 | Equations (814) can reduce 804 to:
% 12.12/3.41 | (359) $false
% 12.12/3.41 |
% 12.12/3.41 |-The branch is then unsatisfiable
% 12.12/3.41 |-Branch two:
% 12.12/3.41 | (804) ~ (all_0_128_128 = e13)
% 12.12/3.41 | (817) all_0_129_129 = e13
% 12.12/3.41 |
% 12.12/3.41 | Equations (817) can reduce 3 to:
% 12.12/3.41 | (818) ~ (all_0_126_126 = e13)
% 12.12/3.41 |
% 12.12/3.41 | Equations (817) can reduce 50 to:
% 12.12/3.41 | (804) ~ (all_0_128_128 = e13)
% 12.12/3.41 |
% 12.12/3.41 | Equations (817) can reduce 335 to:
% 12.12/3.41 | (172) ~ (e13 = e10)
% 12.12/3.41 |
% 12.12/3.41 | From (817) and (130) follows:
% 12.12/3.41 | (821) op1(e12, e11) = e13
% 12.12/3.41 |
% 12.12/3.41 +-Applying beta-rule and splitting (314), into two cases.
% 12.12/3.41 |-Branch one:
% 12.12/3.41 | (822) all_0_126_126 = e13
% 12.12/3.41 |
% 12.12/3.41 | Equations (822) can reduce 818 to:
% 12.12/3.41 | (359) $false
% 12.12/3.41 |
% 12.12/3.41 |-The branch is then unsatisfiable
% 12.12/3.41 |-Branch two:
% 12.12/3.41 | (818) ~ (all_0_126_126 = e13)
% 12.12/3.41 | (825) all_0_126_126 = e11
% 12.12/3.41 |
% 12.12/3.41 +-Applying beta-rule and splitting (88), into two cases.
% 12.12/3.41 |-Branch one:
% 12.12/3.41 | (826) all_0_124_124 = e13
% 12.12/3.41 |
% 12.12/3.41 | Combining equations (826,786) yields a new equation:
% 12.12/3.41 | (827) e13 = e10
% 12.12/3.41 |
% 12.12/3.41 | Simplifying 827 yields:
% 12.12/3.41 | (828) e13 = e10
% 12.12/3.41 |
% 12.12/3.41 | Equations (828) can reduce 172 to:
% 12.12/3.41 | (359) $false
% 12.12/3.41 |
% 12.12/3.41 |-The branch is then unsatisfiable
% 12.12/3.41 |-Branch two:
% 12.12/3.41 | (830) ~ (all_0_124_124 = e13)
% 12.12/3.41 | (831) all_0_125_125 = e13 | all_0_126_126 = e13
% 12.12/3.41 |
% 12.12/3.41 +-Applying beta-rule and splitting (9), into two cases.
% 12.12/3.41 |-Branch one:
% 12.12/3.41 | (774) all_0_125_125 = e13
% 12.12/3.41 |
% 12.12/3.41 | Equations (774) can reduce 346 to:
% 12.12/3.41 | (833) ~ (all_0_128_128 = e13)
% 12.12/3.41 |
% 12.12/3.41 | Simplifying 833 yields:
% 12.12/3.41 | (804) ~ (all_0_128_128 = e13)
% 12.12/3.41 |
% 12.12/3.41 | Equations (774) can reduce 38 to:
% 12.12/3.41 | (270) ~ (e13 = e12)
% 12.12/3.41 |
% 12.12/3.41 +-Applying beta-rule and splitting (813), into two cases.
% 12.12/3.41 |-Branch one:
% 12.12/3.41 | (814) all_0_128_128 = e13
% 12.12/3.41 |
% 12.12/3.41 | Equations (814) can reduce 804 to:
% 12.12/3.41 | (359) $false
% 12.12/3.41 |
% 12.12/3.41 |-The branch is then unsatisfiable
% 12.12/3.41 |-Branch two:
% 12.12/3.41 | (804) ~ (all_0_128_128 = e13)
% 12.12/3.41 | (839) all_0_128_128 = e11
% 12.12/3.41 |
% 12.12/3.41 | Equations (839) can reduce 776 to:
% 12.12/3.41 | (840) ~ (e12 = e11)
% 12.12/3.41 |
% 12.12/3.41 | Simplifying 840 yields:
% 12.12/3.41 | (291) ~ (e12 = e11)
% 12.12/3.41 |
% 12.12/3.41 | Equations (839) can reduce 205 to:
% 12.12/3.41 | (272) ~ (e11 = e10)
% 12.12/3.41 |
% 12.12/3.41 | From (839) and (79) follows:
% 12.12/3.41 | (843) op1(e12, e11) = all_0_106_106
% 12.12/3.41 |
% 12.12/3.41 | From (839) and (69) follows:
% 12.12/3.41 | (844) op1(e12, e12) = e11
% 12.12/3.41 |
% 12.12/3.41 +-Applying beta-rule and splitting (214), into two cases.
% 12.12/3.41 |-Branch one:
% 12.12/3.41 | (845) (all_0_102_102 = e13 & all_0_103_103 = e12 & all_0_104_104 = e11 & all_0_125_125 = e10 & all_0_132_132 = e10 & ( ~ (all_0_128_128 = e13) | all_0_127_127 = e12)) | (all_0_105_105 = e13 & all_0_106_106 = e12 & all_0_107_107 = e11) | (all_0_108_108 = e13 & all_0_109_109 = e12 & ( ~ (all_0_124_124 = e11) | all_0_126_126 = e13) & ( ~ (all_0_128_128 = e11) | all_0_129_129 = e12))
% 12.12/3.41 |
% 12.12/3.41 +-Applying beta-rule and splitting (845), into two cases.
% 12.12/3.41 |-Branch one:
% 12.12/3.41 | (846) (all_0_102_102 = e13 & all_0_103_103 = e12 & all_0_104_104 = e11 & all_0_125_125 = e10 & all_0_132_132 = e10 & ( ~ (all_0_128_128 = e13) | all_0_127_127 = e12)) | (all_0_105_105 = e13 & all_0_106_106 = e12 & all_0_107_107 = e11)
% 12.12/3.41 |
% 12.12/3.41 +-Applying beta-rule and splitting (846), into two cases.
% 12.12/3.41 |-Branch one:
% 12.12/3.41 | (847) all_0_102_102 = e13 & all_0_103_103 = e12 & all_0_104_104 = e11 & all_0_125_125 = e10 & all_0_132_132 = e10 & ( ~ (all_0_128_128 = e13) | all_0_127_127 = e12)
% 12.12/3.41 |
% 12.12/3.41 | Applying alpha-rule on (847) yields:
% 12.12/3.41 | (848) all_0_102_102 = e13
% 12.12/3.41 | (849) all_0_104_104 = e11
% 12.12/3.41 | (850) all_0_125_125 = e10
% 12.12/3.41 | (851) all_0_103_103 = e12
% 12.12/3.42 | (852) ~ (all_0_128_128 = e13) | all_0_127_127 = e12
% 12.12/3.42 | (853) all_0_132_132 = e10
% 12.12/3.42 |
% 12.12/3.42 | Combining equations (793,853) yields a new equation:
% 12.12/3.42 | (854) e11 = e10
% 12.12/3.42 |
% 12.12/3.42 | Simplifying 854 yields:
% 12.12/3.42 | (855) e11 = e10
% 12.12/3.42 |
% 12.12/3.42 | Equations (855) can reduce 272 to:
% 12.12/3.42 | (359) $false
% 12.12/3.42 |
% 12.12/3.42 |-The branch is then unsatisfiable
% 12.12/3.42 |-Branch two:
% 12.12/3.42 | (857) all_0_105_105 = e13 & all_0_106_106 = e12 & all_0_107_107 = e11
% 12.12/3.42 |
% 12.12/3.42 | Applying alpha-rule on (857) yields:
% 12.12/3.42 | (858) all_0_105_105 = e13
% 12.12/3.42 | (859) all_0_106_106 = e12
% 12.12/3.42 | (860) all_0_107_107 = e11
% 12.12/3.42 |
% 12.12/3.42 | From (858) and (800) follows:
% 12.12/3.42 | (861) op1(e12, e12) = e13
% 12.12/3.42 |
% 12.12/3.42 | From (859) and (843) follows:
% 12.12/3.42 | (862) op1(e12, e11) = e12
% 12.12/3.42 |
% 12.12/3.42 | Instantiating formula (12) with e12, e12, e11, e13 and discharging atoms op1(e12, e12) = e13, op1(e12, e12) = e11, yields:
% 12.12/3.42 | (863) e13 = e11
% 12.12/3.42 |
% 12.12/3.42 | Instantiating formula (12) with e12, e11, e12, e13 and discharging atoms op1(e12, e11) = e13, op1(e12, e11) = e12, yields:
% 12.12/3.42 | (806) e13 = e12
% 12.12/3.42 |
% 12.12/3.42 | Combining equations (806,863) yields a new equation:
% 12.12/3.42 | (865) e12 = e11
% 12.12/3.42 |
% 12.12/3.42 | Simplifying 865 yields:
% 12.12/3.42 | (866) e12 = e11
% 12.12/3.42 |
% 12.12/3.42 | Equations (866) can reduce 291 to:
% 12.12/3.42 | (359) $false
% 12.12/3.42 |
% 12.12/3.42 |-The branch is then unsatisfiable
% 12.12/3.42 |-Branch two:
% 12.12/3.42 | (868) all_0_108_108 = e13 & all_0_109_109 = e12 & ( ~ (all_0_124_124 = e11) | all_0_126_126 = e13) & ( ~ (all_0_128_128 = e11) | all_0_129_129 = e12)
% 12.12/3.42 |
% 12.12/3.42 | Applying alpha-rule on (868) yields:
% 12.12/3.42 | (869) all_0_108_108 = e13
% 12.12/3.42 | (870) all_0_109_109 = e12
% 12.12/3.42 | (871) ~ (all_0_124_124 = e11) | all_0_126_126 = e13
% 12.12/3.42 | (872) ~ (all_0_128_128 = e11) | all_0_129_129 = e12
% 12.12/3.42 |
% 12.12/3.42 +-Applying beta-rule and splitting (872), into two cases.
% 12.12/3.42 |-Branch one:
% 12.12/3.42 | (873) ~ (all_0_128_128 = e11)
% 12.12/3.42 |
% 12.12/3.42 | Equations (839) can reduce 873 to:
% 12.12/3.42 | (359) $false
% 12.12/3.42 |
% 12.12/3.42 |-The branch is then unsatisfiable
% 12.12/3.42 |-Branch two:
% 12.12/3.42 | (839) all_0_128_128 = e11
% 12.12/3.42 | (876) all_0_129_129 = e12
% 12.12/3.42 |
% 12.12/3.42 | Combining equations (817,876) yields a new equation:
% 12.12/3.42 | (877) e13 = e12
% 12.12/3.42 |
% 12.12/3.42 | Simplifying 877 yields:
% 12.12/3.42 | (806) e13 = e12
% 12.12/3.42 |
% 12.12/3.42 | Equations (806) can reduce 270 to:
% 12.12/3.42 | (359) $false
% 12.12/3.42 |
% 12.12/3.42 |-The branch is then unsatisfiable
% 12.12/3.42 |-Branch two:
% 12.12/3.42 | (880) all_0_110_110 = e13 & all_0_111_111 = e12 & all_0_112_112 = e11 & all_0_132_132 = e10 & ~ (all_0_124_124 = e10)
% 12.12/3.42 |
% 12.12/3.42 | Applying alpha-rule on (880) yields:
% 12.12/3.42 | (881) all_0_111_111 = e12
% 12.12/3.42 | (882) all_0_112_112 = e11
% 12.12/3.42 | (883) all_0_110_110 = e13
% 12.12/3.42 | (884) ~ (all_0_124_124 = e10)
% 12.12/3.42 | (853) all_0_132_132 = e10
% 12.12/3.42 |
% 12.12/3.42 | Combining equations (793,853) yields a new equation:
% 12.12/3.42 | (854) e11 = e10
% 12.12/3.42 |
% 12.12/3.42 | Simplifying 854 yields:
% 12.12/3.42 | (855) e11 = e10
% 12.12/3.42 |
% 12.12/3.42 | Equations (855) can reduce 272 to:
% 12.12/3.42 | (359) $false
% 12.12/3.42 |
% 12.12/3.42 |-The branch is then unsatisfiable
% 12.12/3.42 |-Branch two:
% 12.12/3.42 | (889) ~ (all_0_125_125 = e13)
% 12.12/3.42 | (890) all_0_125_125 = e11 | all_0_125_125 = e10
% 12.12/3.42 |
% 12.12/3.42 +-Applying beta-rule and splitting (24), into two cases.
% 12.12/3.42 |-Branch one:
% 12.12/3.42 | (774) all_0_125_125 = e13
% 12.12/3.42 |
% 12.12/3.42 | Equations (774) can reduce 889 to:
% 12.12/3.42 | (359) $false
% 12.12/3.42 |
% 12.12/3.42 |-The branch is then unsatisfiable
% 12.12/3.42 |-Branch two:
% 12.12/3.42 | (889) ~ (all_0_125_125 = e13)
% 12.12/3.42 | (894) all_0_128_128 = e13 | all_0_131_131 = e13
% 12.12/3.42 |
% 12.12/3.42 +-Applying beta-rule and splitting (813), into two cases.
% 12.12/3.42 |-Branch one:
% 12.12/3.42 | (814) all_0_128_128 = e13
% 12.12/3.42 |
% 12.12/3.42 | Equations (814) can reduce 804 to:
% 12.12/3.42 | (359) $false
% 12.12/3.42 |
% 12.12/3.42 |-The branch is then unsatisfiable
% 12.12/3.42 |-Branch two:
% 12.12/3.42 | (804) ~ (all_0_128_128 = e13)
% 12.12/3.42 | (839) all_0_128_128 = e11
% 12.12/3.42 |
% 12.12/3.42 | Equations (839) can reduce 804 to:
% 12.12/3.42 | (899) ~ (e13 = e11)
% 12.12/3.42 |
% 12.12/3.42 | Simplifying 899 yields:
% 12.12/3.42 | (326) ~ (e13 = e11)
% 12.12/3.42 |
% 12.12/3.43 +-Applying beta-rule and splitting (831), into two cases.
% 12.12/3.43 |-Branch one:
% 12.12/3.43 | (774) all_0_125_125 = e13
% 12.12/3.43 |
% 12.12/3.43 | Equations (774) can reduce 889 to:
% 12.12/3.43 | (359) $false
% 12.12/3.43 |
% 12.12/3.43 |-The branch is then unsatisfiable
% 12.12/3.43 |-Branch two:
% 12.12/3.43 | (889) ~ (all_0_125_125 = e13)
% 12.12/3.43 | (822) all_0_126_126 = e13
% 12.12/3.43 |
% 12.12/3.43 | Combining equations (822,825) yields a new equation:
% 12.12/3.43 | (905) e13 = e11
% 12.12/3.43 |
% 12.12/3.43 | Simplifying 905 yields:
% 12.12/3.43 | (863) e13 = e11
% 12.12/3.43 |
% 12.12/3.43 | Equations (863) can reduce 326 to:
% 12.12/3.43 | (359) $false
% 12.12/3.43 |
% 12.12/3.43 |-The branch is then unsatisfiable
% 12.12/3.43 |-Branch two:
% 12.12/3.43 | (801) ~ (all_0_127_127 = e12)
% 12.12/3.43 | (909) all_0_127_127 = e13 | all_0_127_127 = e11
% 12.12/3.43 |
% 12.12/3.43 +-Applying beta-rule and splitting (909), into two cases.
% 12.12/3.43 |-Branch one:
% 12.12/3.43 | (775) all_0_127_127 = e13
% 12.12/3.43 |
% 12.12/3.43 | Equations (775) can reduce 771 to:
% 12.12/3.43 | (359) $false
% 12.12/3.43 |
% 12.12/3.43 |-The branch is then unsatisfiable
% 12.12/3.43 |-Branch two:
% 12.12/3.43 | (771) ~ (all_0_127_127 = e13)
% 12.12/3.43 | (913) all_0_127_127 = e11
% 12.12/3.43 |
% 12.12/3.43 | Equations (913) can reduce 794 to:
% 12.12/3.43 | (359) $false
% 12.12/3.43 |
% 12.12/3.43 |-The branch is then unsatisfiable
% 12.12/3.43 |-Branch two:
% 12.12/3.43 | (915) ~ (all_0_132_132 = e11)
% 12.12/3.43 | (853) all_0_132_132 = e10
% 12.12/3.43 |
% 12.12/3.43 | Equations (853) can reduce 785 to:
% 12.12/3.43 | (359) $false
% 12.12/3.43 |
% 12.12/3.43 |-The branch is then unsatisfiable
% 12.12/3.43 |-Branch two:
% 12.12/3.43 | (884) ~ (all_0_124_124 = e10)
% 12.12/3.43 | (853) all_0_132_132 = e10
% 12.12/3.43 |
% 12.12/3.43 | Equations (853) can reduce 785 to:
% 12.12/3.43 | (359) $false
% 12.12/3.43 |
% 12.12/3.43 |-The branch is then unsatisfiable
% 12.12/3.43 |-Branch two:
% 12.12/3.43 | (921) all_0_134_134 = e11 & ~ (all_0_132_132 = e10)
% 12.12/3.43 |
% 12.12/3.43 | Applying alpha-rule on (921) yields:
% 12.12/3.43 | (922) all_0_134_134 = e11
% 12.12/3.43 | (785) ~ (all_0_132_132 = e10)
% 12.12/3.43 |
% 12.12/3.43 | Combining equations (922,760) yields a new equation:
% 12.12/3.43 | (866) e12 = e11
% 12.12/3.43 |
% 12.12/3.43 | Equations (866) can reduce 291 to:
% 12.12/3.43 | (359) $false
% 12.12/3.43 |
% 12.12/3.43 |-The branch is then unsatisfiable
% 12.12/3.43 |-Branch two:
% 12.12/3.43 | (926) ~ (all_0_131_131 = e12)
% 12.12/3.43 | (927) all_0_131_131 = e13
% 12.12/3.43 |
% 12.12/3.43 | Equations (927) can reduce 324 to:
% 12.12/3.43 | (928) ~ (all_0_130_130 = e13)
% 12.12/3.43 |
% 12.12/3.43 +-Applying beta-rule and splitting (94), into two cases.
% 12.12/3.43 |-Branch one:
% 12.12/3.43 | (767) all_0_130_130 = e12
% 12.12/3.43 |
% 12.12/3.43 | Equations (767) can reduce 928 to:
% 12.12/3.43 | (798) ~ (e13 = e12)
% 12.12/3.43 |
% 12.12/3.43 | Simplifying 798 yields:
% 12.12/3.43 | (270) ~ (e13 = e12)
% 12.12/3.43 |
% 12.12/3.43 | Equations (767) can reduce 173 to:
% 12.12/3.43 | (291) ~ (e12 = e11)
% 12.12/3.43 |
% 12.12/3.43 +-Applying beta-rule and splitting (116), into two cases.
% 12.12/3.43 |-Branch one:
% 12.12/3.43 | (810) all_0_128_128 = e12
% 12.12/3.43 |
% 12.12/3.43 +-Applying beta-rule and splitting (250), into two cases.
% 12.12/3.43 |-Branch one:
% 12.12/3.43 | (772) (all_0_125_125 = e13 & all_0_127_127 = e13 & ~ (all_0_128_128 = e12) & ( ~ (all_0_128_128 = e11) | ~ (all_0_129_129 = e12))) | (all_0_133_133 = e10 & ~ (all_0_128_128 = e12) & ( ~ (all_0_127_127 = e12) | ~ (all_0_128_128 = e13)) & ( ~ (all_0_128_128 = e11) | ~ (all_0_129_129 = e12)))
% 12.12/3.43 |
% 12.12/3.43 +-Applying beta-rule and splitting (772), into two cases.
% 12.12/3.43 |-Branch one:
% 12.12/3.43 | (773) all_0_125_125 = e13 & all_0_127_127 = e13 & ~ (all_0_128_128 = e12) & ( ~ (all_0_128_128 = e11) | ~ (all_0_129_129 = e12))
% 12.12/3.43 |
% 12.12/3.43 | Applying alpha-rule on (773) yields:
% 12.12/3.43 | (774) all_0_125_125 = e13
% 12.12/3.43 | (775) all_0_127_127 = e13
% 12.12/3.43 | (776) ~ (all_0_128_128 = e12)
% 12.12/3.43 | (777) ~ (all_0_128_128 = e11) | ~ (all_0_129_129 = e12)
% 12.12/3.43 |
% 12.12/3.43 | Equations (810) can reduce 776 to:
% 12.12/3.43 | (359) $false
% 12.12/3.43 |
% 12.12/3.43 |-The branch is then unsatisfiable
% 12.12/3.43 |-Branch two:
% 12.12/3.43 | (779) all_0_133_133 = e10 & ~ (all_0_128_128 = e12) & ( ~ (all_0_127_127 = e12) | ~ (all_0_128_128 = e13)) & ( ~ (all_0_128_128 = e11) | ~ (all_0_129_129 = e12))
% 12.12/3.43 |
% 12.12/3.43 | Applying alpha-rule on (779) yields:
% 12.12/3.43 | (780) all_0_133_133 = e10
% 12.12/3.43 | (776) ~ (all_0_128_128 = e12)
% 12.12/3.43 | (782) ~ (all_0_127_127 = e12) | ~ (all_0_128_128 = e13)
% 12.12/3.43 | (777) ~ (all_0_128_128 = e11) | ~ (all_0_129_129 = e12)
% 12.12/3.43 |
% 12.12/3.43 | Equations (810) can reduce 776 to:
% 12.12/3.43 | (359) $false
% 12.12/3.43 |
% 12.12/3.43 |-The branch is then unsatisfiable
% 12.12/3.43 |-Branch two:
% 12.12/3.43 | (921) all_0_134_134 = e11 & ~ (all_0_132_132 = e10)
% 12.12/3.43 |
% 12.12/3.43 | Applying alpha-rule on (921) yields:
% 12.12/3.43 | (922) all_0_134_134 = e11
% 12.12/3.43 | (785) ~ (all_0_132_132 = e10)
% 12.12/3.43 |
% 12.12/3.44 | Combining equations (922,760) yields a new equation:
% 12.12/3.44 | (866) e12 = e11
% 12.12/3.44 |
% 12.12/3.44 | Equations (866) can reduce 291 to:
% 12.12/3.44 | (359) $false
% 12.12/3.44 |
% 12.12/3.44 |-The branch is then unsatisfiable
% 12.12/3.44 |-Branch two:
% 12.12/3.44 | (776) ~ (all_0_128_128 = e12)
% 12.12/3.44 | (953) all_0_131_131 = e12 | all_0_133_133 = e12
% 12.12/3.44 |
% 12.12/3.44 +-Applying beta-rule and splitting (953), into two cases.
% 12.12/3.44 |-Branch one:
% 12.12/3.44 | (763) all_0_131_131 = e12
% 12.12/3.44 |
% 12.12/3.44 | Combining equations (927,763) yields a new equation:
% 12.12/3.44 | (877) e13 = e12
% 12.12/3.44 |
% 12.12/3.44 | Simplifying 877 yields:
% 12.12/3.44 | (806) e13 = e12
% 12.12/3.44 |
% 12.12/3.44 | Equations (806) can reduce 270 to:
% 12.12/3.44 | (359) $false
% 12.12/3.44 |
% 12.12/3.44 |-The branch is then unsatisfiable
% 12.12/3.44 |-Branch two:
% 12.12/3.44 | (926) ~ (all_0_131_131 = e12)
% 12.12/3.44 | (959) all_0_133_133 = e12
% 12.12/3.44 |
% 12.12/3.44 | Equations (959) can reduce 762 to:
% 12.12/3.44 | (359) $false
% 12.12/3.44 |
% 12.12/3.44 |-The branch is then unsatisfiable
% 12.12/3.44 |-Branch two:
% 12.12/3.44 | (765) ~ (all_0_130_130 = e12)
% 12.12/3.44 | (770) all_0_130_130 = e13
% 12.12/3.44 |
% 12.12/3.44 | Equations (770) can reduce 928 to:
% 12.12/3.44 | (359) $false
% 12.12/3.44 |
% 12.12/3.44 |-The branch is then unsatisfiable
% 12.12/3.44 |-Branch two:
% 12.12/3.44 | (964) ~ (all_0_134_134 = e12)
% 12.12/3.44 | (922) all_0_134_134 = e11
% 12.12/3.44 |
% 12.12/3.44 | Equations (922) can reduce 199 to:
% 12.12/3.44 | (966) ~ (all_0_126_126 = e11)
% 12.12/3.44 |
% 12.12/3.44 | Equations (922) can reduce 964 to:
% 12.12/3.44 | (840) ~ (e12 = e11)
% 12.12/3.44 |
% 12.12/3.44 | Simplifying 840 yields:
% 12.12/3.44 | (291) ~ (e12 = e11)
% 12.12/3.44 |
% 12.12/3.44 | From (922) and (252) follows:
% 12.12/3.44 | (969) h2(e11) = all_0_62_62
% 12.12/3.44 |
% 12.12/3.44 +-Applying beta-rule and splitting (153), into two cases.
% 12.12/3.44 |-Branch one:
% 12.12/3.44 | (876) all_0_129_129 = e12
% 12.12/3.44 |
% 12.12/3.44 | Equations (876) can reduce 3 to:
% 12.12/3.44 | (47) ~ (all_0_126_126 = e12)
% 12.12/3.44 |
% 12.12/3.44 | Equations (876) can reduce 208 to:
% 12.12/3.44 | (801) ~ (all_0_127_127 = e12)
% 12.12/3.44 |
% 12.12/3.44 | From (876) and (308) follows:
% 12.12/3.44 | (973) h2(e12) = all_0_57_57
% 12.12/3.44 |
% 12.12/3.44 +-Applying beta-rule and splitting (314), into two cases.
% 12.12/3.44 |-Branch one:
% 12.12/3.44 | (822) all_0_126_126 = e13
% 12.12/3.44 |
% 12.12/3.44 | Equations (822) can reduce 13 to:
% 12.12/3.44 | (889) ~ (all_0_125_125 = e13)
% 12.12/3.44 |
% 12.12/3.44 | Equations (822) can reduce 47 to:
% 12.12/3.44 | (270) ~ (e13 = e12)
% 12.12/3.44 |
% 12.12/3.44 | From (822) and (177) follows:
% 12.12/3.44 | (977) h2(e13) = all_0_54_54
% 12.12/3.44 |
% 12.12/3.44 | Instantiating formula (98) with e13, all_0_54_54, e23 and discharging atoms h2(e13) = all_0_54_54, h2(e13) = e23, yields:
% 12.12/3.44 | (978) all_0_54_54 = e23
% 12.12/3.44 |
% 12.12/3.44 | Instantiating formula (98) with e12, all_0_57_57, e22 and discharging atoms h2(e12) = all_0_57_57, h2(e12) = e22, yields:
% 12.12/3.44 | (979) all_0_57_57 = e22
% 12.12/3.44 |
% 12.12/3.44 | Instantiating formula (98) with e11, all_0_62_62, e21 and discharging atoms h2(e11) = all_0_62_62, h2(e11) = e21, yields:
% 12.12/3.44 | (980) all_0_62_62 = e21
% 12.12/3.44 |
% 12.12/3.44 | From (978) and (977) follows:
% 12.12/3.44 | (274) h2(e13) = e23
% 12.12/3.44 |
% 12.12/3.44 | From (979) and (973) follows:
% 12.12/3.44 | (52) h2(e12) = e22
% 12.12/3.44 |
% 12.12/3.44 | From (980) and (969) follows:
% 12.12/3.44 | (174) h2(e11) = e21
% 12.12/3.44 |
% 12.12/3.44 +-Applying beta-rule and splitting (273), into two cases.
% 12.12/3.44 |-Branch one:
% 12.12/3.44 | (767) all_0_130_130 = e12
% 12.12/3.44 |
% 12.12/3.44 | Equations (767) can reduce 317 to:
% 12.12/3.44 | (985) ~ (all_0_132_132 = e12)
% 12.12/3.44 |
% 12.12/3.44 | Simplifying 985 yields:
% 12.12/3.44 | (761) ~ (all_0_132_132 = e12)
% 12.12/3.44 |
% 12.12/3.44 | Equations (767) can reduce 173 to:
% 12.12/3.44 | (291) ~ (e12 = e11)
% 12.12/3.44 |
% 12.12/3.44 | Equations (767) can reduce 127 to:
% 12.12/3.44 | (139) ~ (e12 = e10)
% 12.12/3.44 |
% 12.12/3.44 +-Applying beta-rule and splitting (37), into two cases.
% 12.12/3.44 |-Branch one:
% 12.12/3.44 | (770) all_0_130_130 = e13
% 12.12/3.44 |
% 12.12/3.44 | Combining equations (770,767) yields a new equation:
% 12.12/3.44 | (877) e13 = e12
% 12.12/3.44 |
% 12.12/3.44 | Simplifying 877 yields:
% 12.12/3.44 | (806) e13 = e12
% 12.12/3.44 |
% 12.12/3.44 | Equations (806) can reduce 270 to:
% 12.12/3.44 | (359) $false
% 12.12/3.44 |
% 12.12/3.44 |-The branch is then unsatisfiable
% 12.12/3.44 |-Branch two:
% 12.12/3.44 | (928) ~ (all_0_130_130 = e13)
% 12.12/3.44 | (927) all_0_131_131 = e13
% 12.12/3.44 |
% 12.12/3.44 | Equations (927) can reduce 350 to:
% 12.12/3.44 | (889) ~ (all_0_125_125 = e13)
% 12.12/3.44 |
% 12.12/3.44 +-Applying beta-rule and splitting (67), into two cases.
% 12.12/3.44 |-Branch one:
% 12.12/3.44 | (789) all_0_132_132 = e12
% 12.12/3.44 |
% 12.12/3.44 | Equations (789) can reduce 761 to:
% 12.12/3.44 | (359) $false
% 12.12/3.44 |
% 12.12/3.44 |-The branch is then unsatisfiable
% 12.12/3.44 |-Branch two:
% 12.12/3.44 | (761) ~ (all_0_132_132 = e12)
% 12.12/3.44 | (999) all_0_133_133 = e12 | all_0_134_134 = e12
% 12.12/3.44 |
% 12.12/3.44 +-Applying beta-rule and splitting (999), into two cases.
% 12.12/3.44 |-Branch one:
% 12.12/3.44 | (959) all_0_133_133 = e12
% 12.12/3.44 |
% 12.12/3.44 | Equations (959) can reduce 219 to:
% 12.12/3.44 | (38) ~ (all_0_125_125 = e12)
% 12.12/3.44 |
% 12.12/3.44 | Equations (959) can reduce 51 to:
% 12.12/3.44 | (761) ~ (all_0_132_132 = e12)
% 12.12/3.44 |
% 12.12/3.44 +-Applying beta-rule and splitting (254), into two cases.
% 12.12/3.44 |-Branch one:
% 12.12/3.44 | (853) all_0_132_132 = e10
% 12.12/3.44 |
% 12.12/3.44 | Equations (853) can reduce 761 to:
% 12.12/3.44 | (1004) ~ (e12 = e10)
% 12.12/3.45 |
% 12.12/3.45 | Simplifying 1004 yields:
% 12.12/3.45 | (139) ~ (e12 = e10)
% 12.12/3.45 |
% 12.12/3.45 +-Applying beta-rule and splitting (112), into two cases.
% 12.12/3.45 |-Branch one:
% 12.12/3.45 | (850) all_0_125_125 = e10
% 12.12/3.45 |
% 12.12/3.45 | Equations (850) can reduce 889 to:
% 12.12/3.45 | (1007) ~ (e13 = e10)
% 12.12/3.45 |
% 12.12/3.45 | Simplifying 1007 yields:
% 12.12/3.45 | (172) ~ (e13 = e10)
% 12.12/3.45 |
% 12.12/3.45 | Equations (850) can reduce 38 to:
% 12.12/3.45 | (1004) ~ (e12 = e10)
% 12.12/3.45 |
% 12.12/3.45 | Simplifying 1004 yields:
% 12.12/3.45 | (139) ~ (e12 = e10)
% 12.12/3.45 |
% 12.12/3.45 +-Applying beta-rule and splitting (250), into two cases.
% 12.12/3.45 |-Branch one:
% 12.12/3.45 | (772) (all_0_125_125 = e13 & all_0_127_127 = e13 & ~ (all_0_128_128 = e12) & ( ~ (all_0_128_128 = e11) | ~ (all_0_129_129 = e12))) | (all_0_133_133 = e10 & ~ (all_0_128_128 = e12) & ( ~ (all_0_127_127 = e12) | ~ (all_0_128_128 = e13)) & ( ~ (all_0_128_128 = e11) | ~ (all_0_129_129 = e12)))
% 12.12/3.45 |
% 12.12/3.45 +-Applying beta-rule and splitting (772), into two cases.
% 12.12/3.45 |-Branch one:
% 12.12/3.45 | (773) all_0_125_125 = e13 & all_0_127_127 = e13 & ~ (all_0_128_128 = e12) & ( ~ (all_0_128_128 = e11) | ~ (all_0_129_129 = e12))
% 12.12/3.45 |
% 12.12/3.45 | Applying alpha-rule on (773) yields:
% 12.12/3.45 | (774) all_0_125_125 = e13
% 12.12/3.45 | (775) all_0_127_127 = e13
% 12.12/3.45 | (776) ~ (all_0_128_128 = e12)
% 12.12/3.45 | (777) ~ (all_0_128_128 = e11) | ~ (all_0_129_129 = e12)
% 12.12/3.45 |
% 12.12/3.45 | Combining equations (774,850) yields a new equation:
% 12.12/3.45 | (827) e13 = e10
% 12.12/3.45 |
% 12.12/3.45 | Simplifying 827 yields:
% 12.12/3.45 | (828) e13 = e10
% 12.12/3.45 |
% 12.12/3.45 | Equations (828) can reduce 172 to:
% 12.12/3.45 | (359) $false
% 12.12/3.45 |
% 12.12/3.45 |-The branch is then unsatisfiable
% 12.12/3.45 |-Branch two:
% 12.12/3.45 | (779) all_0_133_133 = e10 & ~ (all_0_128_128 = e12) & ( ~ (all_0_127_127 = e12) | ~ (all_0_128_128 = e13)) & ( ~ (all_0_128_128 = e11) | ~ (all_0_129_129 = e12))
% 12.12/3.45 |
% 12.12/3.45 | Applying alpha-rule on (779) yields:
% 12.12/3.45 | (780) all_0_133_133 = e10
% 12.12/3.45 | (776) ~ (all_0_128_128 = e12)
% 12.12/3.45 | (782) ~ (all_0_127_127 = e12) | ~ (all_0_128_128 = e13)
% 12.12/3.45 | (777) ~ (all_0_128_128 = e11) | ~ (all_0_129_129 = e12)
% 12.12/3.45 |
% 12.12/3.45 | Combining equations (959,780) yields a new equation:
% 12.12/3.45 | (1025) e12 = e10
% 12.12/3.45 |
% 12.12/3.45 | Simplifying 1025 yields:
% 12.12/3.45 | (1026) e12 = e10
% 12.12/3.45 |
% 12.12/3.45 | Equations (1026) can reduce 139 to:
% 12.12/3.45 | (359) $false
% 12.12/3.45 |
% 12.12/3.45 |-The branch is then unsatisfiable
% 12.12/3.45 |-Branch two:
% 12.12/3.45 | (921) all_0_134_134 = e11 & ~ (all_0_132_132 = e10)
% 12.12/3.45 |
% 12.12/3.45 | Applying alpha-rule on (921) yields:
% 12.12/3.45 | (922) all_0_134_134 = e11
% 12.12/3.45 | (785) ~ (all_0_132_132 = e10)
% 12.12/3.45 |
% 12.12/3.45 | Equations (853) can reduce 785 to:
% 12.12/3.45 | (359) $false
% 12.12/3.45 |
% 12.12/3.45 |-The branch is then unsatisfiable
% 12.12/3.45 |-Branch two:
% 12.12/3.45 | (1032) ~ (all_0_125_125 = e10)
% 12.12/3.45 | (780) all_0_133_133 = e10
% 12.12/3.45 |
% 12.12/3.45 | Combining equations (959,780) yields a new equation:
% 12.12/3.45 | (1025) e12 = e10
% 12.12/3.45 |
% 12.12/3.45 | Simplifying 1025 yields:
% 12.12/3.45 | (1026) e12 = e10
% 12.12/3.45 |
% 12.12/3.45 | Equations (1026) can reduce 139 to:
% 12.12/3.45 | (359) $false
% 12.12/3.45 |
% 12.12/3.45 |-The branch is then unsatisfiable
% 12.12/3.45 |-Branch two:
% 12.12/3.45 | (785) ~ (all_0_132_132 = e10)
% 12.12/3.45 | (780) all_0_133_133 = e10
% 12.12/3.45 |
% 12.12/3.45 | Combining equations (959,780) yields a new equation:
% 12.12/3.45 | (1025) e12 = e10
% 12.12/3.45 |
% 12.12/3.45 | Simplifying 1025 yields:
% 12.12/3.45 | (1026) e12 = e10
% 12.12/3.45 |
% 12.12/3.45 | Equations (1026) can reduce 139 to:
% 12.12/3.45 | (359) $false
% 12.12/3.45 |
% 12.12/3.45 |-The branch is then unsatisfiable
% 12.12/3.45 |-Branch two:
% 12.12/3.45 | (762) ~ (all_0_133_133 = e12)
% 12.12/3.45 | (760) all_0_134_134 = e12
% 12.12/3.45 |
% 12.12/3.45 | Combining equations (760,922) yields a new equation:
% 12.12/3.45 | (865) e12 = e11
% 12.12/3.45 |
% 12.12/3.45 | Simplifying 865 yields:
% 12.12/3.45 | (866) e12 = e11
% 12.12/3.45 |
% 12.12/3.45 | Equations (866) can reduce 291 to:
% 12.12/3.45 | (359) $false
% 12.12/3.45 |
% 12.12/3.45 |-The branch is then unsatisfiable
% 12.12/3.45 |-Branch two:
% 12.12/3.45 | (765) ~ (all_0_130_130 = e12)
% 12.12/3.45 | (763) all_0_131_131 = e12
% 12.12/3.45 |
% 12.12/3.45 | Equations (763) can reduce 334 to:
% 12.12/3.45 | (776) ~ (all_0_128_128 = e12)
% 12.12/3.45 |
% 12.12/3.45 | Equations (763) can reduce 324 to:
% 12.12/3.45 | (765) ~ (all_0_130_130 = e12)
% 12.12/3.45 |
% 12.12/3.45 | Equations (763) can reduce 119 to:
% 12.12/3.45 | (139) ~ (e12 = e10)
% 12.12/3.45 |
% 12.12/3.45 | From (763) and (115) follows:
% 12.12/3.45 | (1052) h2(e12) = all_0_59_59
% 12.12/3.45 |
% 12.12/3.45 +-Applying beta-rule and splitting (94), into two cases.
% 12.12/3.45 |-Branch one:
% 12.12/3.45 | (767) all_0_130_130 = e12
% 12.12/3.45 |
% 12.12/3.45 | Equations (767) can reduce 765 to:
% 12.12/3.45 | (359) $false
% 12.12/3.45 |
% 12.12/3.45 |-The branch is then unsatisfiable
% 12.12/3.45 |-Branch two:
% 12.12/3.45 | (765) ~ (all_0_130_130 = e12)
% 12.12/3.45 | (770) all_0_130_130 = e13
% 12.12/3.45 |
% 12.12/3.45 | Equations (770) can reduce 230 to:
% 12.12/3.45 | (771) ~ (all_0_127_127 = e13)
% 12.12/3.45 |
% 12.12/3.45 | Equations (770) can reduce 317 to:
% 12.12/3.45 | (1058) ~ (all_0_132_132 = e13)
% 12.12/3.45 |
% 12.12/3.45 | Simplifying 1058 yields:
% 12.12/3.45 | (185) ~ (all_0_132_132 = e13)
% 12.12/3.45 |
% 12.12/3.45 | Equations (770) can reduce 765 to:
% 12.12/3.45 | (270) ~ (e13 = e12)
% 12.12/3.45 |
% 12.12/3.45 | From (770) and (319) follows:
% 12.12/3.46 | (1061) h2(e13) = all_0_58_58
% 12.12/3.46 |
% 12.12/3.46 +-Applying beta-rule and splitting (339), into two cases.
% 12.12/3.46 |-Branch one:
% 12.12/3.46 | (795) all_0_127_127 = e12
% 12.12/3.46 |
% 12.12/3.46 | Equations (795) can reduce 801 to:
% 12.12/3.46 | (359) $false
% 12.12/3.46 |
% 12.12/3.46 |-The branch is then unsatisfiable
% 12.12/3.46 |-Branch two:
% 12.12/3.46 | (801) ~ (all_0_127_127 = e12)
% 12.12/3.46 | (909) all_0_127_127 = e13 | all_0_127_127 = e11
% 12.12/3.46 |
% 12.12/3.46 +-Applying beta-rule and splitting (67), into two cases.
% 12.12/3.46 |-Branch one:
% 12.12/3.46 | (789) all_0_132_132 = e12
% 12.12/3.46 |
% 12.12/3.46 | Equations (789) can reduce 74 to:
% 12.12/3.46 | (323) ~ (all_0_124_124 = e12)
% 12.12/3.46 |
% 12.12/3.46 | Equations (789) can reduce 185 to:
% 12.12/3.46 | (798) ~ (e13 = e12)
% 12.12/3.46 |
% 12.12/3.46 | Simplifying 798 yields:
% 12.12/3.46 | (270) ~ (e13 = e12)
% 12.12/3.46 |
% 12.12/3.46 | From (789) and (8) follows:
% 12.12/3.46 | (1070) h2(e12) = all_0_60_60
% 12.12/3.46 |
% 12.12/3.46 +-Applying beta-rule and splitting (118), into two cases.
% 12.12/3.46 |-Branch one:
% 12.12/3.46 | (786) all_0_124_124 = e10
% 12.12/3.46 |
% 12.12/3.46 | Equations (786) can reduce 323 to:
% 12.12/3.46 | (1004) ~ (e12 = e10)
% 12.12/3.46 |
% 12.12/3.46 | Simplifying 1004 yields:
% 12.12/3.46 | (139) ~ (e12 = e10)
% 12.12/3.46 |
% 12.12/3.46 | From (786) and (11) follows:
% 12.12/3.46 | (1074) h2(e10) = all_0_52_52
% 12.12/3.46 |
% 12.12/3.46 +-Applying beta-rule and splitting (254), into two cases.
% 12.12/3.46 |-Branch one:
% 12.12/3.46 | (853) all_0_132_132 = e10
% 12.12/3.46 |
% 12.12/3.46 | Combining equations (789,853) yields a new equation:
% 12.12/3.46 | (1025) e12 = e10
% 12.12/3.46 |
% 12.12/3.46 | Simplifying 1025 yields:
% 12.12/3.46 | (1026) e12 = e10
% 12.12/3.46 |
% 12.12/3.46 | Equations (1026) can reduce 139 to:
% 12.12/3.46 | (359) $false
% 12.12/3.46 |
% 12.12/3.46 |-The branch is then unsatisfiable
% 12.12/3.46 |-Branch two:
% 12.12/3.46 | (785) ~ (all_0_132_132 = e10)
% 12.12/3.46 | (780) all_0_133_133 = e10
% 12.12/3.46 |
% 12.12/3.46 | Equations (780) can reduce 219 to:
% 12.12/3.46 | (1032) ~ (all_0_125_125 = e10)
% 12.12/3.46 |
% 12.12/3.46 | From (780) and (232) follows:
% 12.12/3.46 | (1082) h2(e10) = all_0_61_61
% 12.12/3.46 |
% 12.12/3.46 +-Applying beta-rule and splitting (5), into two cases.
% 12.12/3.46 |-Branch one:
% 12.12/3.46 | (775) all_0_127_127 = e13
% 12.12/3.46 |
% 12.12/3.46 | Equations (775) can reduce 771 to:
% 12.12/3.46 | (359) $false
% 12.12/3.46 |
% 12.12/3.46 |-The branch is then unsatisfiable
% 12.12/3.46 |-Branch two:
% 12.12/3.46 | (771) ~ (all_0_127_127 = e13)
% 12.12/3.46 | (809) all_0_128_128 = e13 | all_0_129_129 = e13
% 12.12/3.46 |
% 12.12/3.46 +-Applying beta-rule and splitting (809), into two cases.
% 12.12/3.46 |-Branch one:
% 12.12/3.46 | (814) all_0_128_128 = e13
% 12.12/3.46 |
% 12.12/3.46 | Equations (814) can reduce 346 to:
% 12.12/3.46 | (889) ~ (all_0_125_125 = e13)
% 12.12/3.46 |
% 12.12/3.46 | Equations (814) can reduce 175 to:
% 12.12/3.46 | (771) ~ (all_0_127_127 = e13)
% 12.12/3.46 |
% 12.12/3.46 | From (814) and (253) follows:
% 12.12/3.46 | (1090) h2(e13) = all_0_56_56
% 12.12/3.46 |
% 12.12/3.46 +-Applying beta-rule and splitting (233), into two cases.
% 12.12/3.46 |-Branch one:
% 12.12/3.46 | (1091) all_0_125_125 = e11
% 12.12/3.46 |
% 12.12/3.46 | From (1091) and (35) follows:
% 12.12/3.46 | (1092) h2(e11) = all_0_53_53
% 12.12/3.46 |
% 12.12/3.46 +-Applying beta-rule and splitting (909), into two cases.
% 12.12/3.46 |-Branch one:
% 12.12/3.46 | (775) all_0_127_127 = e13
% 12.12/3.46 |
% 12.12/3.46 | Equations (775) can reduce 771 to:
% 12.12/3.46 | (359) $false
% 12.12/3.46 |
% 12.12/3.46 |-The branch is then unsatisfiable
% 12.12/3.46 |-Branch two:
% 12.12/3.46 | (771) ~ (all_0_127_127 = e13)
% 12.12/3.46 | (913) all_0_127_127 = e11
% 12.12/3.46 |
% 12.12/3.46 | From (913) and (58) follows:
% 12.12/3.46 | (1097) h2(e11) = all_0_55_55
% 12.12/3.46 |
% 12.12/3.46 | Instantiating formula (98) with e13, all_0_56_56, e23 and discharging atoms h2(e13) = all_0_56_56, h2(e13) = e23, yields:
% 12.12/3.46 | (1098) all_0_56_56 = e23
% 12.12/3.46 |
% 12.12/3.46 | Instantiating formula (98) with e13, all_0_58_58, all_0_56_56 and discharging atoms h2(e13) = all_0_56_56, h2(e13) = all_0_58_58, yields:
% 12.12/3.46 | (1099) all_0_56_56 = all_0_58_58
% 12.12/3.46 |
% 12.12/3.46 | Instantiating formula (98) with e12, all_0_59_59, e22 and discharging atoms h2(e12) = all_0_59_59, h2(e12) = e22, yields:
% 12.12/3.46 | (1100) all_0_59_59 = e22
% 12.12/3.46 |
% 12.12/3.46 | Instantiating formula (98) with e12, all_0_60_60, all_0_59_59 and discharging atoms h2(e12) = all_0_59_59, h2(e12) = all_0_60_60, yields:
% 12.12/3.46 | (1101) all_0_59_59 = all_0_60_60
% 12.12/3.46 |
% 12.12/3.46 | Instantiating formula (98) with e11, all_0_53_53, e21 and discharging atoms h2(e11) = all_0_53_53, h2(e11) = e21, yields:
% 12.12/3.46 | (1102) all_0_53_53 = e21
% 12.12/3.46 |
% 12.12/3.46 | Instantiating formula (98) with e11, all_0_55_55, all_0_53_53 and discharging atoms h2(e11) = all_0_53_53, h2(e11) = all_0_55_55, yields:
% 12.12/3.46 | (1103) all_0_53_53 = all_0_55_55
% 12.12/3.46 |
% 12.12/3.46 | Instantiating formula (98) with e10, all_0_52_52, e20 and discharging atoms h2(e10) = all_0_52_52, h2(e10) = e20, yields:
% 12.12/3.46 | (1104) all_0_52_52 = e20
% 12.12/3.46 |
% 12.12/3.46 | Instantiating formula (98) with e10, all_0_61_61, all_0_52_52 and discharging atoms h2(e10) = all_0_52_52, h2(e10) = all_0_61_61, yields:
% 12.12/3.46 | (1105) all_0_52_52 = all_0_61_61
% 12.12/3.46 |
% 12.12/3.46 | Combining equations (1104,1105) yields a new equation:
% 12.12/3.46 | (1106) all_0_61_61 = e20
% 12.12/3.46 |
% 12.12/3.46 | Combining equations (1103,1102) yields a new equation:
% 12.12/3.46 | (1107) all_0_55_55 = e21
% 12.12/3.46 |
% 12.12/3.46 | Simplifying 1107 yields:
% 12.12/3.46 | (1108) all_0_55_55 = e21
% 12.12/3.46 |
% 12.12/3.46 | Combining equations (1098,1099) yields a new equation:
% 12.12/3.46 | (1109) all_0_58_58 = e23
% 12.12/3.46 |
% 12.12/3.46 | Combining equations (1100,1101) yields a new equation:
% 12.12/3.46 | (1110) all_0_60_60 = e22
% 12.12/3.46 |
% 12.12/3.46 | Combining equations (1110,1101) yields a new equation:
% 12.12/3.46 | (1100) all_0_59_59 = e22
% 12.12/3.46 |
% 12.12/3.46 | Combining equations (1109,1099) yields a new equation:
% 12.12/3.46 | (1098) all_0_56_56 = e23
% 12.12/3.46 |
% 12.12/3.47 | Combining equations (1106,1105) yields a new equation:
% 12.12/3.47 | (1104) all_0_52_52 = e20
% 12.12/3.47 |
% 12.12/3.47 +-Applying beta-rule and splitting (113), into two cases.
% 12.12/3.47 |-Branch one:
% 12.12/3.47 | (1114) ~ (all_0_52_52 = all_0_113_113)
% 12.12/3.47 |
% 12.12/3.47 | Equations (1104,388) can reduce 1114 to:
% 12.12/3.47 | (359) $false
% 12.12/3.47 |
% 12.12/3.47 |-The branch is then unsatisfiable
% 12.12/3.47 |-Branch two:
% 12.12/3.47 | (1116) all_0_52_52 = all_0_113_113
% 12.12/3.47 | (1117) ~ (all_0_53_53 = all_0_114_114) | ~ (all_0_54_54 = all_0_115_115) | ~ (all_0_55_55 = all_0_116_116) | ~ (all_0_56_56 = all_0_117_117) | ~ (all_0_57_57 = all_0_118_118) | ~ (all_0_58_58 = all_0_119_119) | ~ (all_0_59_59 = all_0_120_120) | ~ (all_0_60_60 = all_0_121_121) | ~ (all_0_61_61 = all_0_122_122) | ~ (all_0_62_62 = all_0_123_123)
% 12.12/3.47 |
% 12.12/3.47 +-Applying beta-rule and splitting (1117), into two cases.
% 12.12/3.47 |-Branch one:
% 12.12/3.47 | (1118) ~ (all_0_53_53 = all_0_114_114)
% 12.12/3.47 |
% 12.12/3.47 | Equations (1102,483) can reduce 1118 to:
% 12.12/3.47 | (359) $false
% 12.12/3.47 |
% 12.12/3.47 |-The branch is then unsatisfiable
% 12.12/3.47 |-Branch two:
% 12.12/3.47 | (1120) all_0_53_53 = all_0_114_114
% 12.12/3.47 | (1121) ~ (all_0_54_54 = all_0_115_115) | ~ (all_0_55_55 = all_0_116_116) | ~ (all_0_56_56 = all_0_117_117) | ~ (all_0_57_57 = all_0_118_118) | ~ (all_0_58_58 = all_0_119_119) | ~ (all_0_59_59 = all_0_120_120) | ~ (all_0_60_60 = all_0_121_121) | ~ (all_0_61_61 = all_0_122_122) | ~ (all_0_62_62 = all_0_123_123)
% 12.12/3.47 |
% 12.12/3.47 +-Applying beta-rule and splitting (1121), into two cases.
% 12.12/3.47 |-Branch one:
% 12.12/3.47 | (1122) ~ (all_0_54_54 = all_0_115_115)
% 12.12/3.47 |
% 12.12/3.47 | Equations (978,368) can reduce 1122 to:
% 12.12/3.47 | (359) $false
% 12.12/3.47 |
% 12.12/3.47 |-The branch is then unsatisfiable
% 12.12/3.47 |-Branch two:
% 12.12/3.47 | (1124) all_0_54_54 = all_0_115_115
% 12.12/3.47 | (1125) ~ (all_0_55_55 = all_0_116_116) | ~ (all_0_56_56 = all_0_117_117) | ~ (all_0_57_57 = all_0_118_118) | ~ (all_0_58_58 = all_0_119_119) | ~ (all_0_59_59 = all_0_120_120) | ~ (all_0_60_60 = all_0_121_121) | ~ (all_0_61_61 = all_0_122_122) | ~ (all_0_62_62 = all_0_123_123)
% 12.12/3.47 |
% 12.12/3.47 +-Applying beta-rule and splitting (1125), into two cases.
% 12.12/3.47 |-Branch one:
% 12.12/3.47 | (1126) ~ (all_0_55_55 = all_0_116_116)
% 12.12/3.47 |
% 12.12/3.47 | Equations (1108,503) can reduce 1126 to:
% 12.12/3.47 | (359) $false
% 12.12/3.47 |
% 12.12/3.47 |-The branch is then unsatisfiable
% 12.12/3.47 |-Branch two:
% 12.12/3.47 | (1128) all_0_55_55 = all_0_116_116
% 12.12/3.47 | (1129) ~ (all_0_56_56 = all_0_117_117) | ~ (all_0_57_57 = all_0_118_118) | ~ (all_0_58_58 = all_0_119_119) | ~ (all_0_59_59 = all_0_120_120) | ~ (all_0_60_60 = all_0_121_121) | ~ (all_0_61_61 = all_0_122_122) | ~ (all_0_62_62 = all_0_123_123)
% 12.12/3.47 |
% 12.12/3.47 +-Applying beta-rule and splitting (1129), into two cases.
% 12.12/3.47 |-Branch one:
% 12.12/3.47 | (1130) ~ (all_0_56_56 = all_0_117_117)
% 12.12/3.47 |
% 12.12/3.47 | Equations (1098,615) can reduce 1130 to:
% 12.12/3.47 | (359) $false
% 12.12/3.47 |
% 12.12/3.47 |-The branch is then unsatisfiable
% 12.12/3.47 |-Branch two:
% 12.12/3.47 | (1132) all_0_56_56 = all_0_117_117
% 12.12/3.47 | (1133) ~ (all_0_57_57 = all_0_118_118) | ~ (all_0_58_58 = all_0_119_119) | ~ (all_0_59_59 = all_0_120_120) | ~ (all_0_60_60 = all_0_121_121) | ~ (all_0_61_61 = all_0_122_122) | ~ (all_0_62_62 = all_0_123_123)
% 12.12/3.47 |
% 12.12/3.47 +-Applying beta-rule and splitting (1133), into two cases.
% 12.12/3.47 |-Branch one:
% 12.12/3.47 | (1134) ~ (all_0_57_57 = all_0_118_118)
% 12.12/3.47 |
% 12.12/3.47 | Equations (979,415) can reduce 1134 to:
% 12.12/3.47 | (359) $false
% 12.12/3.47 |
% 12.12/3.47 |-The branch is then unsatisfiable
% 12.12/3.47 |-Branch two:
% 12.12/3.47 | (1136) all_0_57_57 = all_0_118_118
% 12.12/3.47 | (1137) ~ (all_0_58_58 = all_0_119_119) | ~ (all_0_59_59 = all_0_120_120) | ~ (all_0_60_60 = all_0_121_121) | ~ (all_0_61_61 = all_0_122_122) | ~ (all_0_62_62 = all_0_123_123)
% 12.12/3.47 |
% 12.12/3.47 +-Applying beta-rule and splitting (1137), into two cases.
% 12.12/3.47 |-Branch one:
% 12.12/3.47 | (1138) ~ (all_0_58_58 = all_0_119_119)
% 12.12/3.47 |
% 12.12/3.47 | Equations (1109,358) can reduce 1138 to:
% 12.12/3.47 | (359) $false
% 12.12/3.47 |
% 12.12/3.47 |-The branch is then unsatisfiable
% 12.12/3.47 |-Branch two:
% 12.12/3.47 | (1140) all_0_58_58 = all_0_119_119
% 12.12/3.47 | (1141) ~ (all_0_59_59 = all_0_120_120) | ~ (all_0_60_60 = all_0_121_121) | ~ (all_0_61_61 = all_0_122_122) | ~ (all_0_62_62 = all_0_123_123)
% 12.12/3.47 |
% 12.12/3.47 +-Applying beta-rule and splitting (1141), into two cases.
% 12.12/3.47 |-Branch one:
% 12.12/3.47 | (1142) ~ (all_0_59_59 = all_0_120_120)
% 12.12/3.47 |
% 12.12/3.47 | Equations (1100,395) can reduce 1142 to:
% 12.12/3.47 | (359) $false
% 12.12/3.47 |
% 12.12/3.47 |-The branch is then unsatisfiable
% 12.12/3.47 |-Branch two:
% 12.12/3.47 | (1144) all_0_59_59 = all_0_120_120
% 12.12/3.47 | (1145) ~ (all_0_60_60 = all_0_121_121) | ~ (all_0_61_61 = all_0_122_122) | ~ (all_0_62_62 = all_0_123_123)
% 12.12/3.47 |
% 12.12/3.47 +-Applying beta-rule and splitting (1145), into two cases.
% 12.12/3.47 |-Branch one:
% 12.12/3.47 | (1146) ~ (all_0_60_60 = all_0_121_121)
% 12.12/3.47 |
% 12.12/3.47 | Equations (1110,418) can reduce 1146 to:
% 12.12/3.47 | (359) $false
% 12.12/3.47 |
% 12.12/3.47 |-The branch is then unsatisfiable
% 12.12/3.47 |-Branch two:
% 12.12/3.47 | (1148) all_0_60_60 = all_0_121_121
% 12.12/3.47 | (1149) ~ (all_0_61_61 = all_0_122_122) | ~ (all_0_62_62 = all_0_123_123)
% 12.12/3.47 |
% 12.12/3.47 +-Applying beta-rule and splitting (1149), into two cases.
% 12.12/3.47 |-Branch one:
% 12.12/3.47 | (1150) ~ (all_0_61_61 = all_0_122_122)
% 12.12/3.47 |
% 12.12/3.47 | Equations (1106,383) can reduce 1150 to:
% 12.12/3.47 | (359) $false
% 12.12/3.47 |
% 12.12/3.47 |-The branch is then unsatisfiable
% 12.12/3.47 |-Branch two:
% 12.12/3.47 | (1152) all_0_61_61 = all_0_122_122
% 12.12/3.47 | (1153) ~ (all_0_62_62 = all_0_123_123)
% 12.12/3.47 |
% 12.12/3.47 | Equations (980,406) can reduce 1153 to:
% 12.12/3.47 | (359) $false
% 12.12/3.47 |
% 12.12/3.47 |-The branch is then unsatisfiable
% 12.12/3.48 |-Branch two:
% 12.12/3.48 | (1155) ~ (all_0_125_125 = e11)
% 12.12/3.48 | (1156) all_0_128_128 = e11 | all_0_133_133 = e11
% 12.12/3.48 |
% 12.12/3.48 +-Applying beta-rule and splitting (9), into two cases.
% 12.12/3.48 |-Branch one:
% 12.12/3.48 | (774) all_0_125_125 = e13
% 12.12/3.48 |
% 12.12/3.48 | Equations (774) can reduce 889 to:
% 12.12/3.48 | (359) $false
% 12.12/3.48 |
% 12.12/3.48 |-The branch is then unsatisfiable
% 12.12/3.48 |-Branch two:
% 12.12/3.48 | (889) ~ (all_0_125_125 = e13)
% 12.12/3.48 | (890) all_0_125_125 = e11 | all_0_125_125 = e10
% 12.12/3.48 |
% 12.12/3.48 +-Applying beta-rule and splitting (890), into two cases.
% 12.12/3.48 |-Branch one:
% 12.12/3.48 | (1091) all_0_125_125 = e11
% 12.12/3.48 |
% 12.12/3.48 | Equations (1091) can reduce 1155 to:
% 12.12/3.48 | (359) $false
% 12.12/3.48 |
% 12.12/3.48 |-The branch is then unsatisfiable
% 12.12/3.48 |-Branch two:
% 12.12/3.48 | (1155) ~ (all_0_125_125 = e11)
% 12.12/3.48 | (850) all_0_125_125 = e10
% 12.12/3.48 |
% 12.12/3.48 | Equations (850) can reduce 1032 to:
% 12.12/3.48 | (359) $false
% 12.12/3.48 |
% 12.12/3.48 |-The branch is then unsatisfiable
% 12.12/3.48 |-Branch two:
% 12.12/3.48 | (804) ~ (all_0_128_128 = e13)
% 12.12/3.48 | (817) all_0_129_129 = e13
% 12.12/3.48 |
% 12.42/3.48 | Combining equations (876,817) yields a new equation:
% 12.42/3.48 | (806) e13 = e12
% 12.42/3.48 |
% 12.42/3.48 | Equations (806) can reduce 270 to:
% 12.42/3.48 | (359) $false
% 12.42/3.48 |
% 12.42/3.48 |-The branch is then unsatisfiable
% 12.42/3.48 |-Branch two:
% 12.42/3.48 | (884) ~ (all_0_124_124 = e10)
% 12.42/3.48 | (853) all_0_132_132 = e10
% 12.42/3.48 |
% 12.42/3.48 | Combining equations (789,853) yields a new equation:
% 12.42/3.48 | (1025) e12 = e10
% 12.42/3.48 |
% 12.42/3.48 | Simplifying 1025 yields:
% 12.42/3.48 | (1026) e12 = e10
% 12.42/3.48 |
% 12.42/3.48 | Equations (1026) can reduce 139 to:
% 12.42/3.48 | (359) $false
% 12.42/3.48 |
% 12.42/3.48 |-The branch is then unsatisfiable
% 12.42/3.48 |-Branch two:
% 12.42/3.48 | (761) ~ (all_0_132_132 = e12)
% 12.42/3.48 | (999) all_0_133_133 = e12 | all_0_134_134 = e12
% 12.42/3.48 |
% 12.42/3.48 +-Applying beta-rule and splitting (157), into two cases.
% 12.42/3.48 |-Branch one:
% 12.42/3.48 | (789) all_0_132_132 = e12
% 12.42/3.48 |
% 12.42/3.48 | Equations (789) can reduce 761 to:
% 12.42/3.48 | (359) $false
% 12.42/3.48 |
% 12.42/3.48 |-The branch is then unsatisfiable
% 12.42/3.48 |-Branch two:
% 12.42/3.48 | (761) ~ (all_0_132_132 = e12)
% 12.42/3.48 | (792) all_0_132_132 = e11 | all_0_132_132 = e10
% 12.42/3.48 |
% 12.42/3.48 +-Applying beta-rule and splitting (114), into two cases.
% 12.42/3.48 |-Branch one:
% 12.42/3.48 | (795) all_0_127_127 = e12
% 12.42/3.48 |
% 12.42/3.48 | Equations (795) can reduce 801 to:
% 12.42/3.48 | (359) $false
% 12.42/3.48 |
% 12.42/3.48 |-The branch is then unsatisfiable
% 12.42/3.48 |-Branch two:
% 12.42/3.48 | (801) ~ (all_0_127_127 = e12)
% 12.42/3.48 | (1184) all_0_130_130 = e12 | all_0_132_132 = e12
% 12.42/3.48 |
% 12.42/3.48 +-Applying beta-rule and splitting (24), into two cases.
% 12.42/3.48 |-Branch one:
% 12.42/3.48 | (774) all_0_125_125 = e13
% 12.42/3.48 |
% 12.42/3.48 | Equations (774) can reduce 889 to:
% 12.42/3.48 | (359) $false
% 12.42/3.48 |
% 12.42/3.48 |-The branch is then unsatisfiable
% 12.42/3.48 |-Branch two:
% 12.42/3.48 | (889) ~ (all_0_125_125 = e13)
% 12.42/3.48 | (894) all_0_128_128 = e13 | all_0_131_131 = e13
% 12.42/3.48 |
% 12.42/3.48 +-Applying beta-rule and splitting (894), into two cases.
% 12.42/3.48 |-Branch one:
% 12.42/3.48 | (814) all_0_128_128 = e13
% 12.42/3.48 |
% 12.42/3.48 | Equations (814) can reduce 776 to:
% 12.42/3.48 | (270) ~ (e13 = e12)
% 12.42/3.48 |
% 12.42/3.48 +-Applying beta-rule and splitting (1184), into two cases.
% 12.42/3.48 |-Branch one:
% 12.42/3.48 | (767) all_0_130_130 = e12
% 12.42/3.48 |
% 12.42/3.48 | Combining equations (767,770) yields a new equation:
% 12.42/3.48 | (806) e13 = e12
% 12.42/3.48 |
% 12.42/3.48 | Equations (806) can reduce 270 to:
% 12.42/3.48 | (359) $false
% 12.42/3.48 |
% 12.42/3.48 |-The branch is then unsatisfiable
% 12.42/3.48 |-Branch two:
% 12.42/3.48 | (765) ~ (all_0_130_130 = e12)
% 12.42/3.48 | (789) all_0_132_132 = e12
% 12.42/3.48 |
% 12.42/3.48 | Equations (789) can reduce 761 to:
% 12.42/3.48 | (359) $false
% 12.42/3.48 |
% 12.42/3.48 |-The branch is then unsatisfiable
% 12.42/3.48 |-Branch two:
% 12.42/3.48 | (804) ~ (all_0_128_128 = e13)
% 12.42/3.48 | (927) all_0_131_131 = e13
% 12.42/3.48 |
% 12.42/3.48 | Combining equations (927,763) yields a new equation:
% 12.42/3.48 | (877) e13 = e12
% 12.42/3.48 |
% 12.42/3.48 | Simplifying 877 yields:
% 12.42/3.48 | (806) e13 = e12
% 12.42/3.48 |
% 12.42/3.48 | Equations (806) can reduce 270 to:
% 12.42/3.48 | (359) $false
% 12.42/3.48 |
% 12.42/3.48 |-The branch is then unsatisfiable
% 12.42/3.48 |-Branch two:
% 12.42/3.48 | (818) ~ (all_0_126_126 = e13)
% 12.42/3.48 | (825) all_0_126_126 = e11
% 12.42/3.48 |
% 12.42/3.49 | Equations (825) can reduce 966 to:
% 12.42/3.49 | (359) $false
% 12.42/3.49 |
% 12.42/3.49 |-The branch is then unsatisfiable
% 12.42/3.49 |-Branch two:
% 12.42/3.49 | (1205) ~ (all_0_129_129 = e12)
% 12.42/3.49 | (760) all_0_134_134 = e12
% 12.42/3.49 |
% 12.42/3.49 | Combining equations (922,760) yields a new equation:
% 12.42/3.49 | (866) e12 = e11
% 12.42/3.49 |
% 12.42/3.49 | Equations (866) can reduce 291 to:
% 12.42/3.49 | (359) $false
% 12.42/3.49 |
% 12.42/3.49 |-The branch is then unsatisfiable
% 12.42/3.49 |-Branch two:
% 12.42/3.49 | (402) ~ (all_0_113_113 = e20)
% 12.42/3.49 | (403) all_0_114_114 = e20
% 12.42/3.49 |
% 12.42/3.49 | Combining equations (483,403) yields a new equation:
% 12.42/3.49 | (512) e21 = e20
% 12.42/3.49 |
% 12.42/3.49 | Simplifying 512 yields:
% 12.42/3.49 | (513) e21 = e20
% 12.42/3.49 |
% 12.42/3.49 | Equations (513) can reduce 303 to:
% 12.42/3.49 | (359) $false
% 12.42/3.49 |
% 12.42/3.49 |-The branch is then unsatisfiable
% 12.42/3.49 |-Branch two:
% 12.42/3.49 | (467) ~ (all_0_114_114 = e21)
% 12.42/3.49 | (403) all_0_114_114 = e20
% 12.42/3.49 |
% 12.42/3.49 | Equations (403) can reduce 387 to:
% 12.42/3.49 | (359) $false
% 12.42/3.49 |
% 12.42/3.49 |-The branch is then unsatisfiable
% 12.42/3.49 |-Branch two:
% 12.42/3.49 | (450) ~ (all_0_118_118 = e22)
% 12.42/3.49 | (372) all_0_123_123 = e22
% 12.42/3.49 |
% 12.42/3.49 | Combining equations (372,406) yields a new equation:
% 12.42/3.49 | (452) e22 = e21
% 12.42/3.49 |
% 12.42/3.49 | Simplifying 452 yields:
% 12.42/3.49 | (408) e22 = e21
% 12.42/3.49 |
% 12.42/3.49 | Equations (408) can reduce 221 to:
% 12.42/3.49 | (359) $false
% 12.42/3.49 |
% 12.42/3.49 |-The branch is then unsatisfiable
% 12.42/3.49 |-Branch two:
% 12.42/3.49 | (459) ~ (all_0_117_117 = e23)
% 12.42/3.49 | (456) all_0_118_118 = e23
% 12.42/3.49 |
% 12.42/3.49 | Equations (456) can reduce 671 to:
% 12.42/3.49 | (359) $false
% 12.42/3.49 |
% 12.42/3.49 |-The branch is then unsatisfiable
% 12.42/3.49 |-Branch two:
% 12.42/3.49 | (455) ~ (all_0_115_115 = e23)
% 12.42/3.49 | (456) all_0_118_118 = e23
% 12.42/3.49 |
% 12.42/3.49 | Equations (456) can reduce 76 to:
% 12.42/3.49 | (455) ~ (all_0_115_115 = e23)
% 12.42/3.49 |
% 12.42/3.49 | Equations (456) can reduce 200 to:
% 12.42/3.49 | (370) ~ (all_0_123_123 = e23)
% 12.42/3.49 |
% 12.42/3.49 | Simplifying 370 yields:
% 12.42/3.49 | (86) ~ (all_0_123_123 = e23)
% 12.42/3.49 |
% 12.42/3.49 | From (456) and (82) follows:
% 12.42/3.49 | (1230) op2(e22, e21) = e23
% 12.42/3.49 |
% 12.42/3.49 +-Applying beta-rule and splitting (304), into two cases.
% 12.42/3.49 |-Branch one:
% 12.42/3.49 | (368) all_0_115_115 = e23
% 12.42/3.49 |
% 12.42/3.49 | Equations (368) can reduce 455 to:
% 12.42/3.49 | (359) $false
% 12.42/3.49 |
% 12.42/3.49 |-The branch is then unsatisfiable
% 12.42/3.49 |-Branch two:
% 12.42/3.49 | (455) ~ (all_0_115_115 = e23)
% 12.42/3.49 | (465) all_0_115_115 = e21
% 12.42/3.49 |
% 12.42/3.49 | Equations (465) can reduce 265 to:
% 12.42/3.49 | (466) ~ (all_0_113_113 = e21)
% 12.42/3.49 |
% 12.42/3.49 | Equations (465) can reduce 286 to:
% 12.42/3.49 | (467) ~ (all_0_114_114 = e21)
% 12.42/3.49 |
% 12.42/3.49 | Equations (465) can reduce 268 to:
% 12.42/3.49 | (468) ~ (all_0_123_123 = e21)
% 12.42/3.49 |
% 12.42/3.49 | Simplifying 468 yields:
% 12.42/3.49 | (469) ~ (all_0_123_123 = e21)
% 12.42/3.49 |
% 12.42/3.49 | Equations (465) can reduce 455 to:
% 12.42/3.49 | (583) ~ (e23 = e21)
% 12.42/3.49 |
% 12.42/3.49 | Simplifying 583 yields:
% 12.42/3.49 | (262) ~ (e23 = e21)
% 12.42/3.49 |
% 12.42/3.49 +-Applying beta-rule and splitting (239), into two cases.
% 12.42/3.49 |-Branch one:
% 12.42/3.49 | (372) all_0_123_123 = e22
% 12.42/3.49 |
% 12.42/3.49 | Equations (372) can reduce 86 to:
% 12.42/3.49 | (365) ~ (e23 = e22)
% 12.42/3.49 |
% 12.42/3.49 | Simplifying 365 yields:
% 12.42/3.49 | (22) ~ (e23 = e22)
% 12.42/3.49 |
% 12.42/3.49 +-Applying beta-rule and splitting (193), into two cases.
% 12.42/3.49 |-Branch one:
% 12.42/3.49 | (491) all_0_113_113 = e23
% 12.42/3.49 |
% 12.42/3.49 | Equations (491) can reduce 563 to:
% 12.42/3.49 | (359) $false
% 12.42/3.49 |
% 12.42/3.49 |-The branch is then unsatisfiable
% 12.42/3.49 |-Branch two:
% 12.42/3.49 | (563) ~ (all_0_113_113 = e23)
% 12.42/3.49 | (1247) all_0_113_113 = e21 | all_0_113_113 = e20
% 12.42/3.49 |
% 12.42/3.49 +-Applying beta-rule and splitting (123), into two cases.
% 12.42/3.49 |-Branch one:
% 12.42/3.49 | (491) all_0_113_113 = e23
% 12.42/3.49 |
% 12.42/3.49 | Equations (491) can reduce 563 to:
% 12.42/3.49 | (359) $false
% 12.42/3.49 |
% 12.42/3.49 |-The branch is then unsatisfiable
% 12.42/3.49 |-Branch two:
% 12.42/3.49 | (563) ~ (all_0_113_113 = e23)
% 12.42/3.49 | (596) all_0_114_114 = e23 | all_0_115_115 = e23
% 12.42/3.49 |
% 12.42/3.49 +-Applying beta-rule and splitting (147), into two cases.
% 12.42/3.49 |-Branch one:
% 12.42/3.49 | (569) all_0_116_116 = e22
% 12.42/3.49 |
% 12.42/3.49 | Equations (569) can reduce 277 to:
% 12.42/3.49 | (1253) ~ (all_0_117_117 = e22)
% 12.42/3.49 |
% 12.42/3.49 | Simplifying 1253 yields:
% 12.42/3.49 | (379) ~ (all_0_117_117 = e22)
% 12.42/3.49 |
% 12.42/3.49 | Equations (569) can reduce 202 to:
% 12.42/3.49 | (363) ~ (all_0_121_121 = e22)
% 12.42/3.49 |
% 12.42/3.49 | Simplifying 363 yields:
% 12.42/3.49 | (364) ~ (all_0_121_121 = e22)
% 12.42/3.49 |
% 12.42/3.49 | From (569) and (263) follows:
% 12.42/3.49 | (1257) op2(e22, e22) = all_0_94_94
% 12.42/3.49 |
% 12.42/3.49 +-Applying beta-rule and splitting (1247), into two cases.
% 12.42/3.49 |-Branch one:
% 12.42/3.49 | (1258) all_0_113_113 = e21
% 12.42/3.49 |
% 12.42/3.49 | Equations (1258) can reduce 466 to:
% 12.42/3.49 | (359) $false
% 12.42/3.49 |
% 12.42/3.49 |-The branch is then unsatisfiable
% 12.42/3.49 |-Branch two:
% 12.42/3.49 | (466) ~ (all_0_113_113 = e21)
% 12.42/3.49 | (388) all_0_113_113 = e20
% 12.42/3.49 |
% 12.42/3.49 | Equations (388) can reduce 203 to:
% 12.42/3.49 | (1262) ~ (all_0_114_114 = e20)
% 12.42/3.49 |
% 12.42/3.49 | Simplifying 1262 yields:
% 12.42/3.49 | (387) ~ (all_0_114_114 = e20)
% 12.42/3.49 |
% 12.42/3.49 | Equations (388) can reduce 466 to:
% 12.42/3.49 | (1264) ~ (e21 = e20)
% 12.42/3.49 |
% 12.42/3.49 | Simplifying 1264 yields:
% 12.42/3.49 | (303) ~ (e21 = e20)
% 12.42/3.49 |
% 12.42/3.49 +-Applying beta-rule and splitting (596), into two cases.
% 12.42/3.49 |-Branch one:
% 12.42/3.49 | (377) all_0_114_114 = e23
% 12.42/3.49 |
% 12.42/3.49 | Equations (377) can reduce 152 to:
% 12.42/3.49 | (22) ~ (e23 = e22)
% 12.42/3.49 |
% 12.42/3.49 | Equations (377) can reduce 467 to:
% 12.42/3.49 | (262) ~ (e23 = e21)
% 12.42/3.49 |
% 12.42/3.49 | Equations (377) can reduce 387 to:
% 12.42/3.49 | (249) ~ (e23 = e20)
% 12.42/3.49 |
% 12.42/3.49 +-Applying beta-rule and splitting (63), into two cases.
% 12.42/3.49 |-Branch one:
% 12.42/3.49 | (403) all_0_114_114 = e20
% 12.42/3.49 |
% 12.42/3.49 | Combining equations (377,403) yields a new equation:
% 12.42/3.49 | (1271) e23 = e20
% 12.42/3.49 |
% 12.42/3.49 | Simplifying 1271 yields:
% 12.42/3.50 | (527) e23 = e20
% 12.42/3.50 |
% 12.42/3.50 | Equations (527) can reduce 249 to:
% 12.42/3.50 | (359) $false
% 12.42/3.50 |
% 12.42/3.50 |-The branch is then unsatisfiable
% 12.42/3.50 |-Branch two:
% 12.42/3.50 | (387) ~ (all_0_114_114 = e20)
% 12.42/3.50 | (383) all_0_122_122 = e20
% 12.42/3.50 |
% 12.42/3.50 | Equations (383) can reduce 223 to:
% 12.42/3.50 | (407) ~ (all_0_121_121 = e20)
% 12.42/3.50 |
% 12.42/3.50 +-Applying beta-rule and splitting (242), into two cases.
% 12.42/3.50 |-Branch one:
% 12.42/3.50 | (1258) all_0_113_113 = e21
% 12.42/3.50 |
% 12.42/3.50 | Combining equations (388,1258) yields a new equation:
% 12.42/3.50 | (513) e21 = e20
% 12.42/3.50 |
% 12.42/3.50 | Equations (513) can reduce 303 to:
% 12.42/3.50 | (359) $false
% 12.42/3.50 |
% 12.42/3.50 |-The branch is then unsatisfiable
% 12.42/3.50 |-Branch two:
% 12.42/3.50 | (466) ~ (all_0_113_113 = e21)
% 12.42/3.50 | (1281) all_0_116_116 = e21 | all_0_121_121 = e21
% 12.42/3.50 |
% 12.42/3.50 | Equations (388) can reduce 466 to:
% 12.42/3.50 | (1264) ~ (e21 = e20)
% 12.42/3.50 |
% 12.42/3.50 | Simplifying 1264 yields:
% 12.42/3.50 | (303) ~ (e21 = e20)
% 12.42/3.50 |
% 12.42/3.50 +-Applying beta-rule and splitting (125), into two cases.
% 12.42/3.50 |-Branch one:
% 12.42/3.50 | (483) all_0_114_114 = e21
% 12.42/3.50 |
% 12.42/3.50 | Combining equations (377,483) yields a new equation:
% 12.42/3.50 | (557) e23 = e21
% 12.42/3.50 |
% 12.42/3.50 | Simplifying 557 yields:
% 12.42/3.50 | (528) e23 = e21
% 12.42/3.50 |
% 12.42/3.50 | Equations (528) can reduce 262 to:
% 12.42/3.50 | (359) $false
% 12.42/3.50 |
% 12.42/3.50 |-The branch is then unsatisfiable
% 12.42/3.50 |-Branch two:
% 12.42/3.50 | (467) ~ (all_0_114_114 = e21)
% 12.42/3.50 | (486) all_0_117_117 = e21 | all_0_122_122 = e21
% 12.42/3.50 |
% 12.42/3.50 +-Applying beta-rule and splitting (486), into two cases.
% 12.42/3.50 |-Branch one:
% 12.42/3.50 | (552) all_0_117_117 = e21
% 12.42/3.50 |
% 12.42/3.50 | Equations (552) can reduce 379 to:
% 12.42/3.50 | (413) ~ (e22 = e21)
% 12.42/3.50 |
% 12.42/3.50 | Simplifying 413 yields:
% 12.42/3.50 | (221) ~ (e22 = e21)
% 12.42/3.50 |
% 12.42/3.50 | From (552) and (289) follows:
% 12.42/3.50 | (1293) op2(e22, e21) = all_0_95_95
% 12.42/3.50 |
% 12.42/3.50 | From (552) and (151) follows:
% 12.42/3.50 | (1294) op2(e22, e22) = e21
% 12.42/3.50 |
% 12.42/3.50 +-Applying beta-rule and splitting (1281), into two cases.
% 12.42/3.50 |-Branch one:
% 12.42/3.50 | (503) all_0_116_116 = e21
% 12.42/3.50 |
% 12.42/3.50 | Combining equations (569,503) yields a new equation:
% 12.42/3.50 | (452) e22 = e21
% 12.42/3.50 |
% 12.42/3.50 | Simplifying 452 yields:
% 12.42/3.50 | (408) e22 = e21
% 12.42/3.50 |
% 12.42/3.50 | Equations (408) can reduce 221 to:
% 12.42/3.50 | (359) $false
% 12.42/3.50 |
% 12.42/3.50 |-The branch is then unsatisfiable
% 12.42/3.50 |-Branch two:
% 12.42/3.50 | (550) ~ (all_0_116_116 = e21)
% 12.42/3.50 | (511) all_0_121_121 = e21
% 12.42/3.50 |
% 12.42/3.50 | Equations (511) can reduce 364 to:
% 12.42/3.50 | (413) ~ (e22 = e21)
% 12.42/3.50 |
% 12.42/3.50 | Simplifying 413 yields:
% 12.42/3.50 | (221) ~ (e22 = e21)
% 12.42/3.50 |
% 12.42/3.50 | Equations (511) can reduce 407 to:
% 12.42/3.50 | (303) ~ (e21 = e20)
% 12.42/3.50 |
% 12.42/3.50 +-Applying beta-rule and splitting (101), into two cases.
% 12.42/3.50 |-Branch one:
% 12.42/3.50 | (1304) (all_0_91_91 = e23 & all_0_92_92 = e22 & all_0_93_93 = e21 & all_0_114_114 = e20 & all_0_121_121 = e20 & ( ~ (all_0_117_117 = e23) | all_0_116_116 = e22)) | (all_0_94_94 = e23 & all_0_95_95 = e22 & all_0_96_96 = e21) | (all_0_97_97 = e23 & all_0_98_98 = e22 & ( ~ (all_0_113_113 = e21) | all_0_115_115 = e23) & ( ~ (all_0_117_117 = e21) | all_0_118_118 = e22))
% 12.42/3.50 |
% 12.42/3.50 +-Applying beta-rule and splitting (1304), into two cases.
% 12.42/3.50 |-Branch one:
% 12.42/3.50 | (1305) (all_0_91_91 = e23 & all_0_92_92 = e22 & all_0_93_93 = e21 & all_0_114_114 = e20 & all_0_121_121 = e20 & ( ~ (all_0_117_117 = e23) | all_0_116_116 = e22)) | (all_0_94_94 = e23 & all_0_95_95 = e22 & all_0_96_96 = e21)
% 12.42/3.50 |
% 12.42/3.50 +-Applying beta-rule and splitting (1305), into two cases.
% 12.42/3.50 |-Branch one:
% 12.42/3.50 | (1306) all_0_91_91 = e23 & all_0_92_92 = e22 & all_0_93_93 = e21 & all_0_114_114 = e20 & all_0_121_121 = e20 & ( ~ (all_0_117_117 = e23) | all_0_116_116 = e22)
% 12.42/3.50 |
% 12.42/3.50 | Applying alpha-rule on (1306) yields:
% 12.42/3.50 | (1307) all_0_91_91 = e23
% 12.42/3.50 | (1308) all_0_92_92 = e22
% 12.42/3.50 | (440) all_0_121_121 = e20
% 12.42/3.50 | (403) all_0_114_114 = e20
% 12.42/3.50 | (1311) ~ (all_0_117_117 = e23) | all_0_116_116 = e22
% 12.42/3.50 | (1312) all_0_93_93 = e21
% 12.42/3.50 |
% 12.42/3.50 | Combining equations (511,440) yields a new equation:
% 12.42/3.50 | (512) e21 = e20
% 12.42/3.50 |
% 12.42/3.50 | Simplifying 512 yields:
% 12.42/3.50 | (513) e21 = e20
% 12.42/3.50 |
% 12.42/3.50 | Equations (513) can reduce 303 to:
% 12.42/3.50 | (359) $false
% 12.42/3.50 |
% 12.42/3.50 |-The branch is then unsatisfiable
% 12.42/3.50 |-Branch two:
% 12.42/3.50 | (1316) all_0_94_94 = e23 & all_0_95_95 = e22 & all_0_96_96 = e21
% 12.42/3.50 |
% 12.42/3.50 | Applying alpha-rule on (1316) yields:
% 12.42/3.50 | (1317) all_0_94_94 = e23
% 12.42/3.50 | (1318) all_0_95_95 = e22
% 12.42/3.50 | (1319) all_0_96_96 = e21
% 12.42/3.50 |
% 12.42/3.50 | From (1317) and (1257) follows:
% 12.42/3.50 | (1320) op2(e22, e22) = e23
% 12.42/3.50 |
% 12.42/3.50 | From (1318) and (1293) follows:
% 12.42/3.50 | (1321) op2(e22, e21) = e22
% 12.42/3.50 |
% 12.42/3.50 | Instantiating formula (183) with e22, e22, e21, e23 and discharging atoms op2(e22, e22) = e23, op2(e22, e22) = e21, yields:
% 12.42/3.50 | (528) e23 = e21
% 12.42/3.50 |
% 12.42/3.50 | Instantiating formula (183) with e22, e21, e22, e23 and discharging atoms op2(e22, e21) = e23, op2(e22, e21) = e22, yields:
% 12.42/3.50 | (396) e23 = e22
% 12.42/3.50 |
% 12.42/3.50 | Combining equations (396,528) yields a new equation:
% 12.42/3.50 | (452) e22 = e21
% 12.42/3.50 |
% 12.42/3.50 | Simplifying 452 yields:
% 12.42/3.50 | (408) e22 = e21
% 12.42/3.50 |
% 12.42/3.50 | Equations (408) can reduce 221 to:
% 12.42/3.50 | (359) $false
% 12.42/3.50 |
% 12.42/3.50 |-The branch is then unsatisfiable
% 12.42/3.50 |-Branch two:
% 12.42/3.50 | (1327) all_0_97_97 = e23 & all_0_98_98 = e22 & ( ~ (all_0_113_113 = e21) | all_0_115_115 = e23) & ( ~ (all_0_117_117 = e21) | all_0_118_118 = e22)
% 12.42/3.50 |
% 12.42/3.50 | Applying alpha-rule on (1327) yields:
% 12.42/3.50 | (1328) all_0_97_97 = e23
% 12.42/3.50 | (1329) all_0_98_98 = e22
% 12.42/3.50 | (1330) ~ (all_0_113_113 = e21) | all_0_115_115 = e23
% 12.42/3.50 | (1331) ~ (all_0_117_117 = e21) | all_0_118_118 = e22
% 12.42/3.50 |
% 12.42/3.51 +-Applying beta-rule and splitting (1331), into two cases.
% 12.42/3.51 |-Branch one:
% 12.42/3.51 | (555) ~ (all_0_117_117 = e21)
% 12.42/3.51 |
% 12.42/3.51 | Equations (552) can reduce 555 to:
% 12.42/3.51 | (359) $false
% 12.42/3.51 |
% 12.42/3.51 |-The branch is then unsatisfiable
% 12.42/3.51 |-Branch two:
% 12.42/3.51 | (552) all_0_117_117 = e21
% 12.42/3.51 | (415) all_0_118_118 = e22
% 12.42/3.51 |
% 12.42/3.51 | Combining equations (456,415) yields a new equation:
% 12.42/3.51 | (471) e23 = e22
% 12.42/3.51 |
% 12.42/3.51 | Simplifying 471 yields:
% 12.42/3.51 | (396) e23 = e22
% 12.42/3.51 |
% 12.42/3.51 | Equations (396) can reduce 22 to:
% 12.42/3.51 | (359) $false
% 12.42/3.51 |
% 12.42/3.51 |-The branch is then unsatisfiable
% 12.42/3.51 |-Branch two:
% 12.42/3.51 | (1339) all_0_99_99 = e23 & all_0_100_100 = e22 & all_0_101_101 = e21 & all_0_121_121 = e20 & ~ (all_0_113_113 = e20)
% 12.42/3.51 |
% 12.42/3.51 | Applying alpha-rule on (1339) yields:
% 12.42/3.51 | (1340) all_0_99_99 = e23
% 12.42/3.51 | (440) all_0_121_121 = e20
% 12.42/3.51 | (1342) all_0_100_100 = e22
% 12.42/3.51 | (402) ~ (all_0_113_113 = e20)
% 12.42/3.51 | (1344) all_0_101_101 = e21
% 12.42/3.51 |
% 12.42/3.51 | Combining equations (511,440) yields a new equation:
% 12.42/3.51 | (512) e21 = e20
% 12.42/3.51 |
% 12.42/3.51 | Simplifying 512 yields:
% 12.42/3.51 | (513) e21 = e20
% 12.42/3.51 |
% 12.42/3.51 | Equations (513) can reduce 303 to:
% 12.42/3.51 | (359) $false
% 12.42/3.51 |
% 12.42/3.51 |-The branch is then unsatisfiable
% 12.42/3.51 |-Branch two:
% 12.42/3.51 | (555) ~ (all_0_117_117 = e21)
% 12.42/3.51 | (517) all_0_122_122 = e21
% 12.42/3.51 |
% 12.42/3.51 | Combining equations (517,383) yields a new equation:
% 12.42/3.51 | (512) e21 = e20
% 12.42/3.51 |
% 12.42/3.51 | Simplifying 512 yields:
% 12.42/3.51 | (513) e21 = e20
% 12.42/3.51 |
% 12.42/3.51 | Equations (513) can reduce 303 to:
% 12.42/3.51 | (359) $false
% 12.42/3.51 |
% 12.42/3.51 |-The branch is then unsatisfiable
% 12.42/3.51 |-Branch two:
% 12.42/3.51 | (354) ~ (all_0_114_114 = e23)
% 12.42/3.51 | (368) all_0_115_115 = e23
% 12.42/3.51 |
% 12.42/3.51 | Combining equations (465,368) yields a new equation:
% 12.42/3.51 | (528) e23 = e21
% 12.42/3.51 |
% 12.42/3.51 | Equations (528) can reduce 262 to:
% 12.42/3.51 | (359) $false
% 12.42/3.51 |
% 12.42/3.51 |-The branch is then unsatisfiable
% 12.42/3.51 |-Branch two:
% 12.42/3.51 | (480) ~ (all_0_116_116 = e22)
% 12.42/3.51 | (703) all_0_117_117 = e22 | all_0_118_118 = e22
% 12.42/3.51 |
% 12.42/3.51 +-Applying beta-rule and splitting (703), into two cases.
% 12.42/3.51 |-Branch one:
% 12.42/3.51 | (391) all_0_117_117 = e22
% 12.42/3.51 |
% 12.42/3.51 | Equations (391) can reduce 379 to:
% 12.42/3.51 | (359) $false
% 12.42/3.51 |
% 12.42/3.51 |-The branch is then unsatisfiable
% 12.42/3.51 |-Branch two:
% 12.42/3.51 | (379) ~ (all_0_117_117 = e22)
% 12.42/3.51 | (415) all_0_118_118 = e22
% 12.42/3.51 |
% 12.42/3.51 | Combining equations (456,415) yields a new equation:
% 12.42/3.51 | (471) e23 = e22
% 12.42/3.51 |
% 12.42/3.51 | Simplifying 471 yields:
% 12.42/3.51 | (396) e23 = e22
% 12.42/3.51 |
% 12.42/3.51 | Equations (396) can reduce 22 to:
% 12.42/3.51 | (359) $false
% 12.42/3.51 |
% 12.42/3.51 |-The branch is then unsatisfiable
% 12.42/3.51 |-Branch two:
% 12.42/3.51 | (410) ~ (all_0_123_123 = e22)
% 12.42/3.51 | (406) all_0_123_123 = e21
% 12.42/3.51 |
% 12.42/3.51 | Equations (406) can reduce 469 to:
% 12.42/3.51 | (359) $false
% 12.42/3.51 |
% 12.42/3.51 |-The branch is then unsatisfiable
% 12.42/3.51 |-Branch two:
% 12.42/3.51 | (355) ~ (all_0_119_119 = e23)
% 12.42/3.51 | (353) all_0_120_120 = e23
% 12.42/3.51 |
% 12.42/3.51 | Combining equations (395,353) yields a new equation:
% 12.42/3.51 | (396) e23 = e22
% 12.42/3.51 |
% 12.42/3.51 | Equations (396) can reduce 22 to:
% 12.42/3.51 | (359) $false
% 12.42/3.51 |
% 12.42/3.51 |-The branch is then unsatisfiable
% 12.42/3.51 % SZS output end Proof for theBenchmark
% 12.42/3.51
% 12.42/3.51 2871ms
%------------------------------------------------------------------------------