TSTP Solution File: ALG038+1 by ePrincess---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : ePrincess---1.0
% Problem : ALG038+1 : TPTP v8.1.0. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : ePrincess-casc -timeout=%d %s
% Computer : n022.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 15:33:51 EDT 2022
% Result : Theorem 19.99s 5.26s
% Output : Proof 36.11s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : ALG038+1 : TPTP v8.1.0. Released v2.7.0.
% 0.07/0.12 % Command : ePrincess-casc -timeout=%d %s
% 0.12/0.33 % Computer : n022.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 09:51:20 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.50/0.56 ____ _
% 0.50/0.56 ___ / __ \_____(_)___ ________ __________
% 0.50/0.56 / _ \/ /_/ / ___/ / __ \/ ___/ _ \/ ___/ ___/
% 0.50/0.56 / __/ ____/ / / / / / / /__/ __(__ |__ )
% 0.50/0.56 \___/_/ /_/ /_/_/ /_/\___/\___/____/____/
% 0.50/0.56
% 0.50/0.56 A Theorem Prover for First-Order Logic
% 0.50/0.57 (ePrincess v.1.0)
% 0.50/0.57
% 0.50/0.57 (c) Philipp Rümmer, 2009-2015
% 0.50/0.57 (c) Peter Backeman, 2014-2015
% 0.50/0.57 (contributions by Angelo Brillout, Peter Baumgartner)
% 0.50/0.57 Free software under GNU Lesser General Public License (LGPL).
% 0.50/0.57 Bug reports to peter@backeman.se
% 0.50/0.57
% 0.50/0.57 For more information, visit http://user.uu.se/~petba168/breu/
% 0.50/0.57
% 0.50/0.57 Loading /export/starexec/sandbox/benchmark/theBenchmark.p ...
% 0.50/0.61 Prover 0: Options: -triggersInConjecture -genTotalityAxioms -tightFunctionScopes -clausifier=simple -reverseFunctionalityPropagation +boolFunsAsPreds -triggerStrategy=allMaximal -resolutionMethod=nonUnifying +ignoreQuantifiers -generateTriggers=all
% 2.69/1.14 Prover 0: Preprocessing ...
% 4.58/1.56 Prover 0: Constructing countermodel ...
% 19.99/5.25 Prover 0: proved (4640ms)
% 19.99/5.26
% 19.99/5.26 No countermodel exists, formula is valid
% 19.99/5.26 % SZS status Theorem for theBenchmark
% 19.99/5.26
% 19.99/5.26 Generating proof ... found it (size 6434)
% 32.35/8.45
% 32.35/8.45 % SZS output start Proof for theBenchmark
% 32.35/8.45 Assumed formulas after preprocessing and simplification:
% 32.35/8.45 | (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] : ( ~ (v23 = v22) & ~ (v23 = v21) & ~ (v23 = v20) & ~ (v23 = v19) & ~ (v23 = v15) & ~ (v23 = e22) & ~ (v22 = v21) & ~ (v22 = v20) & ~ (v22 = v18) & ~ (v22 = v14) & ~ (v22 = e20) & ~ (v21 = v20) & ~ (v21 = v17) & ~ (v21 = v13) & ~ (v21 = e23) & ~ (v20 = v16) & ~ (v20 = v12) & ~ (v20 = e21) & ~ (v19 = v18) & ~ (v19 = v17) & ~ (v19 = v16) & ~ (v19 = v15) & ~ (v19 = e22) & ~ (v18 = v17) & ~ (v18 = v16) & ~ (v18 = v14) & ~ (v18 = e20) & ~ (v17 = v16) & ~ (v17 = v13) & ~ (v17 = e23) & ~ (v16 = v12) & ~ (v16 = e21) & ~ (v15 = v14) & ~ (v15 = v13) & ~ (v15 = v12) & ~ (v15 = e22) & ~ (v14 = v13) & ~ (v14 = v12) & ~ (v14 = e20) & ~ (v13 = v12) & ~ (v13 = e23) & ~ (v12 = e21) & ~ (v11 = v10) & ~ (v11 = v9) & ~ (v11 = v8) & ~ (v11 = v7) & ~ (v11 = v3) & ~ (v11 = e12) & ~ (v10 = v9) & ~ (v10 = v8) & ~ (v10 = v6) & ~ (v10 = v2) & ~ (v10 = e10) & ~ (v9 = v8) & ~ (v9 = v5) & ~ (v9 = v1) & ~ (v9 = e13) & ~ (v8 = v4) & ~ (v8 = v0) & ~ (v8 = e11) & ~ (v7 = v6) & ~ (v7 = v5) & ~ (v7 = v4) & ~ (v7 = v3) & ~ (v7 = e12) & ~ (v6 = v5) & ~ (v6 = v4) & ~ (v6 = v2) & ~ (v6 = e10) & ~ (v5 = v4) & ~ (v5 = v1) & ~ (v5 = e13) & ~ (v4 = v0) & ~ (v4 = e11) & ~ (v3 = v2) & ~ (v3 = v1) & ~ (v3 = v0) & ~ (v3 = e12) & ~ (v2 = v1) & ~ (v2 = v0) & ~ (v2 = e10) & ~ (v1 = v0) & ~ (v1 = e13) & ~ (v0 = e11) & ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e23 = e13) & ~ (e23 = e12) & ~ (e23 = e11) & ~ (e23 = e10) & ~ (e22 = e21) & ~ (e22 = e20) & ~ (e22 = e13) & ~ (e22 = e12) & ~ (e22 = e11) & ~ (e22 = e10) & ~ (e21 = e20) & ~ (e21 = e13) & ~ (e21 = e12) & ~ (e21 = e11) & ~ (e21 = e10) & ~ (e20 = e13) & ~ (e20 = e12) & ~ (e20 = e11) & ~ (e20 = e10) & ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = e10) & ~ (e11 = e10) & op1(unit1, e13) = e13 & op1(unit1, e12) = e12 & op1(unit1, e11) = e11 & op1(unit1, e10) = e10 & op1(e13, unit1) = e13 & op1(e13, e13) = v11 & op1(e13, e12) = v10 & op1(e13, e11) = v9 & op1(e13, e10) = v8 & op1(e12, unit1) = e12 & op1(e12, e13) = v7 & op1(e12, e12) = v6 & op1(e12, e11) = v5 & op1(e12, e10) = v4 & op1(e11, unit1) = e11 & op1(e11, e13) = e12 & op1(e11, e12) = e10 & op1(e11, e11) = e13 & op1(e11, e10) = e11 & op1(e10, unit1) = e10 & op1(e10, e13) = v3 & op1(e10, e12) = v2 & op1(e10, e11) = v1 & op1(e10, e10) = v0 & h1(v11) = v55 & h1(v10) = v53 & h1(v9) = v51 & h1(v8) = v49 & h1(v7) = v47 & h1(v6) = v45 & h1(v5) = v43 & h1(v4) = v41 & h1(v3) = v36 & h1(v2) = v34 & h1(v1) = v32 & h1(v0) = v30 & h1(e13) = v12 & h1(e12) = v25 & h1(e11) = e20 & h1(e10) = v24 & h2(v11) = v68 & h2(v10) = v67 & h2(v9) = v66 & h2(v8) = v65 & h2(v7) = v64 & h2(v6) = v63 & h2(v5) = v62 & h2(v4) = v61 & h2(v3) = v60 & h2(v2) = v59 & h2(v1) = v58 & h2(v0) = v57 & h2(e13) = e23 & h2(e12) = e22 & h2(e11) = e21 & h2(e10) = e20 & h3(v11) = v94 & h3(v10) = v92 & h3(v9) = v90 & h3(v8) = v88 & h3(v7) = v86 & h3(v6) = v84 & h3(v5) = v82 & h3(v4) = v80 & h3(v3) = v75 & h3(v2) = v73 & h3(v1) = v71 & h3(v0) = v69 & h3(e13) = v18 & h3(e12) = v27 & h3(e11) = e22 & h3(e10) = v26 & h4(v11) = v121 & h4(v10) = v119 & h4(v9) = v117 & h4(v8) = v115 & h4(v7) = v113 & h4(v6) = v111 & h4(v5) = v109 & h4(v4) = v107 & h4(v3) = v102 & h4(v2) = v100 & h4(v1) = v98 & h4(v0) = v96 & h4(e13) = v23 & h4(e12) = v29 & h4(e11) = e23 & h4(e10) = v28 & op2(v29, v29) = v112 & op2(v29, v28) = v108 & op2(v29, v23) = v114 & op2(v29, e23) = v110 & op2(v28, v29) = v101 & op2(v28, v28) = v97 & op2(v28, v23) = v103 & op2(v28, e23) = v99 & op2(v27, v27) = v85 & op2(v27, v26) = v81 & op2(v27, v18) = v87 & op2(v27, e22) = v83 & op2(v26, v27) = v74 & op2(v26, v26) = v70 & op2(v26, v18) = v76 & op2(v26, e22) = v72 & op2(v25, v25) = v46 & op2(v25, v24) = v42 & op2(v25, v12) = v48 & op2(v25, e20) = v44 & op2(v24, v25) = v35 & op2(v24, v24) = v31 & op2(v24, v12) = v37 & op2(v24, e20) = v33 & op2(v23, v29) = v120 & op2(v23, v28) = v116 & op2(v23, v23) = v122 & op2(v23, e23) = v118 & op2(v18, v27) = v93 & op2(v18, v26) = v89 & op2(v18, v18) = v95 & op2(v18, e22) = v91 & op2(v12, v25) = v54 & op2(v12, v24) = v50 & op2(v12, v12) = v56 & op2(v12, e20) = v52 & op2(unit2, e23) = e23 & op2(unit2, e22) = e22 & op2(unit2, e21) = e21 & op2(unit2, e20) = e20 & op2(e23, v29) = v105 & op2(e23, v29) = v28 & op2(e23, v28) = v104 & op2(e23, v23) = v106 & op2(e23, v23) = v29 & op2(e23, unit2) = e23 & op2(e23, e23) = v23 & op2(e23, e22) = v22 & op2(e23, e21) = v21 & op2(e23, e20) = v20 & op2(e22, v27) = v78 & op2(e22, v27) = v26 & op2(e22, v26) = v77 & op2(e22, v18) = v79 & op2(e22, v18) = v27 & op2(e22, unit2) = e22 & op2(e22, e23) = v19 & op2(e22, e22) = v18 & op2(e22, e21) = v17 & op2(e22, e20) = v16 & op2(e21, unit2) = e21 & op2(e21, e23) = e22 & op2(e21, e22) = e20 & op2(e21, e21) = e23 & op2(e21, e20) = e21 & op2(e20, v25) = v39 & op2(e20, v25) = v24 & op2(e20, v24) = v38 & op2(e20, v12) = v40 & op2(e20, v12) = v25 & op2(e20, unit2) = e20 & op2(e20, e23) = v15 & op2(e20, e22) = v14 & op2(e20, e21) = v13 & op2(e20, e20) = v12 & ! [v123] : ! [v124] : ! [v125] : ! [v126] : (v124 = v123 | ~ (op1(v126, v125) = v124) | ~ (op1(v126, v125) = v123)) & ! [v123] : ! [v124] : ! [v125] : ! [v126] : (v124 = v123 | ~ (op2(v126, v125) = v124) | ~ (op2(v126, v125) = v123)) & ! [v123] : ! [v124] : ! [v125] : (v124 = v123 | ~ (h1(v125) = v124) | ~ (h1(v125) = v123)) & ! [v123] : ! [v124] : ! [v125] : (v124 = v123 | ~ (h2(v125) = v124) | ~ (h2(v125) = v123)) & ! [v123] : ! [v124] : ! [v125] : (v124 = v123 | ~ (h3(v125) = v124) | ~ (h3(v125) = v123)) & ! [v123] : ! [v124] : ! [v125] : (v124 = v123 | ~ (h4(v125) = v124) | ~ (h4(v125) = v123)) & ( ~ (v122 = v121) | ~ (v120 = v119) | ~ (v118 = v117) | ~ (v116 = v115) | ~ (v114 = v113) | ~ (v112 = v111) | ~ (v110 = v109) | ~ (v108 = v107) | ~ (v106 = v29) | ~ (v105 = v28) | ~ (v104 = e23) | ~ (v103 = v102) | ~ (v101 = v100) | ~ (v99 = v98) | ~ (v97 = v96) | ( ~ (v29 = e22) & ~ (v28 = e22)) | ( ~ (v29 = e21) & ~ (v28 = e21) & ~ (v23 = e21)) | ( ~ (v29 = e20) & ~ (v28 = e20) & ~ (v23 = e20))) & ( ~ (v95 = v94) | ~ (v93 = v92) | ~ (v91 = v90) | ~ (v89 = v88) | ~ (v87 = v86) | ~ (v85 = v84) | ~ (v83 = v82) | ~ (v81 = v80) | ~ (v79 = v27) | ~ (v78 = v26) | ~ (v77 = e22) | ~ (v76 = v75) | ~ (v74 = v73) | ~ (v72 = v71) | ~ (v70 = v69) | ( ~ (v27 = e23) & ~ (v26 = e23) & ~ (v18 = e23)) | ( ~ (v27 = e21) & ~ (v26 = e21) & ~ (v18 = e21)) | ( ~ (v27 = e20) & ~ (v26 = e20))) & ( ~ (v68 = v23) | ~ (v67 = v22) | ~ (v66 = v21) | ~ (v65 = v20) | ~ (v64 = v19) | ~ (v63 = v18) | ~ (v62 = v17) | ~ (v61 = v16) | ~ (v60 = v15) | ~ (v59 = v14) | ~ (v58 = v13) | ~ (v57 = v12)) & ( ~ (v56 = v55) | ~ (v54 = v53) | ~ (v52 = v51) | ~ (v50 = v49) | ~ (v48 = v47) | ~ (v46 = v45) | ~ (v44 = v43) | ~ (v42 = v41) | ~ (v40 = v25) | ~ (v39 = v24) | ~ (v38 = e20) | ~ (v37 = v36) | ~ (v35 = v34) | ~ (v33 = v32) | ~ (v31 = v30) | ( ~ (v25 = e23) & ~ (v24 = e23) & ~ (v12 = e23)) | ( ~ (v25 = e22) & ~ (v24 = e22) & ~ (v12 = e22)) | ( ~ (v25 = e21) & ~ (v24 = e21))) & ( ~ (v23 = e23) | ~ (v18 = e23) | ~ (v12 = e23)) & ( ~ (v11 = e13) | ~ (v6 = e13) | ~ (v0 = e13)) & (v23 = e23 | v23 = e21 | v23 = e20) & (v23 = e23 | v22 = e23 | v20 = e23) & (v23 = e23 | v19 = e23 | v15 = e23) & (v23 = e21 | v22 = e21 | v21 = e21) & (v23 = e21 | v19 = e21 | v15 = e21) & (v23 = e20 | v21 = e20 | v20 = e20) & (v23 = e20 | v19 = e20 | v15 = e20) & (v22 = e23 | v22 = e22 | v22 = e21) & (v22 = e23 | v18 = e23 | v14 = e23) & (v22 = e22 | v21 = e22 | v20 = e22) & (v22 = e22 | v18 = e22 | v14 = e22) & (v22 = e21 | v18 = e21 | v14 = e21) & (v21 = e22 | v21 = e21 | v21 = e20) & (v21 = e22 | v17 = e22 | v13 = e22) & (v21 = e21 | v17 = e21 | v13 = e21) & (v21 = e20 | v17 = e20 | v13 = e20) & (v20 = e23 | v20 = e22 | v20 = e20) & (v20 = e23 | v16 = e23 | v12 = e23) & (v20 = e22 | v16 = e22 | v12 = e22) & (v20 = e20 | v16 = e20 | v12 = e20) & (v19 = e23 | v19 = e21 | v19 = e20) & (v19 = e23 | v18 = e23 | v16 = e23) & (v19 = e21 | v18 = e21 | v17 = e21) & (v19 = e20 | v17 = e20 | v16 = e20) & (v18 = e23 | v18 = e22 | v18 = e21) & (v18 = e22 | v17 = e22 | v16 = e22) & (v17 = e22 | v17 = e21 | v17 = e20) & (v16 = e23 | v16 = e22 | v16 = e20) & (v15 = e23 | v15 = e21 | v15 = e20) & (v15 = e23 | v14 = e23 | v12 = e23) & (v15 = e21 | v14 = e21 | v13 = e21) & (v15 = e20 | v13 = e20 | v12 = e20) & (v14 = e23 | v14 = e22 | v14 = e21) & (v14 = e22 | v13 = e22 | v12 = e22) & (v13 = e22 | v13 = e21 | v13 = e20) & (v12 = e23 | v12 = e22 | v12 = e20) & (v11 = e13 | v11 = e11 | v11 = e10) & (v11 = e13 | v10 = e13 | v8 = e13) & (v11 = e13 | v7 = e13 | v3 = e13) & (v11 = e11 | v10 = e11 | v9 = e11) & (v11 = e11 | v7 = e11 | v3 = e11) & (v11 = e10 | v9 = e10 | v8 = e10) & (v11 = e10 | v7 = e10 | v3 = e10) & (v10 = e13 | v10 = e12 | v10 = e11) & (v10 = e13 | v6 = e13 | v2 = e13) & (v10 = e12 | v9 = e12 | v8 = e12) & (v10 = e12 | v6 = e12 | v2 = e12) & (v10 = e11 | v6 = e11 | v2 = e11) & (v9 = e12 | v9 = e11 | v9 = e10) & (v9 = e12 | v5 = e12 | v1 = e12) & (v9 = e11 | v5 = e11 | v1 = e11) & (v9 = e10 | v5 = e10 | v1 = e10) & (v8 = e13 | v8 = e12 | v8 = e10) & (v8 = e13 | v4 = e13 | v0 = e13) & (v8 = e12 | v4 = e12 | v0 = e12) & (v8 = e10 | v4 = e10 | v0 = e10) & (v7 = e13 | v7 = e11 | v7 = e10) & (v7 = e13 | v6 = e13 | v4 = e13) & (v7 = e11 | v6 = e11 | v5 = e11) & (v7 = e10 | v5 = e10 | v4 = e10) & (v6 = e13 | v6 = e12 | v6 = e11) & (v6 = e12 | v5 = e12 | v4 = e12) & (v5 = e12 | v5 = e11 | v5 = e10) & (v4 = e13 | v4 = e12 | v4 = e10) & (v3 = e13 | v3 = e11 | v3 = e10) & (v3 = e13 | v2 = e13 | v0 = e13) & (v3 = e11 | v2 = e11 | v1 = e11) & (v3 = e10 | v1 = e10 | v0 = e10) & (v2 = e13 | v2 = e12 | v2 = e11) & (v2 = e12 | v1 = e12 | v0 = e12) & (v1 = e12 | v1 = e11 | v1 = e10) & (v0 = e13 | v0 = e12 | v0 = e10) & (unit2 = e23 | unit2 = e22 | unit2 = e21 | unit2 = e20) & (unit1 = e13 | unit1 = e12 | unit1 = e11 | unit1 = e10))
% 32.79/8.52 | 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 yields:
% 32.79/8.52 | (1) ~ (all_0_99_99 = all_0_100_100) & ~ (all_0_99_99 = all_0_101_101) & ~ (all_0_99_99 = all_0_102_102) & ~ (all_0_99_99 = all_0_103_103) & ~ (all_0_99_99 = all_0_107_107) & ~ (all_0_99_99 = e22) & ~ (all_0_100_100 = all_0_101_101) & ~ (all_0_100_100 = all_0_102_102) & ~ (all_0_100_100 = all_0_104_104) & ~ (all_0_100_100 = all_0_108_108) & ~ (all_0_100_100 = e20) & ~ (all_0_101_101 = all_0_102_102) & ~ (all_0_101_101 = all_0_105_105) & ~ (all_0_101_101 = all_0_109_109) & ~ (all_0_101_101 = e23) & ~ (all_0_102_102 = all_0_106_106) & ~ (all_0_102_102 = all_0_110_110) & ~ (all_0_102_102 = e21) & ~ (all_0_103_103 = all_0_104_104) & ~ (all_0_103_103 = all_0_105_105) & ~ (all_0_103_103 = all_0_106_106) & ~ (all_0_103_103 = all_0_107_107) & ~ (all_0_103_103 = e22) & ~ (all_0_104_104 = all_0_105_105) & ~ (all_0_104_104 = all_0_106_106) & ~ (all_0_104_104 = all_0_108_108) & ~ (all_0_104_104 = e20) & ~ (all_0_105_105 = all_0_106_106) & ~ (all_0_105_105 = all_0_109_109) & ~ (all_0_105_105 = e23) & ~ (all_0_106_106 = all_0_110_110) & ~ (all_0_106_106 = e21) & ~ (all_0_107_107 = all_0_108_108) & ~ (all_0_107_107 = all_0_109_109) & ~ (all_0_107_107 = all_0_110_110) & ~ (all_0_107_107 = e22) & ~ (all_0_108_108 = all_0_109_109) & ~ (all_0_108_108 = all_0_110_110) & ~ (all_0_108_108 = e20) & ~ (all_0_109_109 = all_0_110_110) & ~ (all_0_109_109 = e23) & ~ (all_0_110_110 = e21) & ~ (all_0_111_111 = all_0_112_112) & ~ (all_0_111_111 = all_0_113_113) & ~ (all_0_111_111 = all_0_114_114) & ~ (all_0_111_111 = all_0_115_115) & ~ (all_0_111_111 = all_0_119_119) & ~ (all_0_111_111 = e12) & ~ (all_0_112_112 = all_0_113_113) & ~ (all_0_112_112 = all_0_114_114) & ~ (all_0_112_112 = all_0_116_116) & ~ (all_0_112_112 = all_0_120_120) & ~ (all_0_112_112 = e10) & ~ (all_0_113_113 = all_0_114_114) & ~ (all_0_113_113 = all_0_117_117) & ~ (all_0_113_113 = all_0_121_121) & ~ (all_0_113_113 = e13) & ~ (all_0_114_114 = all_0_118_118) & ~ (all_0_114_114 = all_0_122_122) & ~ (all_0_114_114 = e11) & ~ (all_0_115_115 = all_0_116_116) & ~ (all_0_115_115 = all_0_117_117) & ~ (all_0_115_115 = all_0_118_118) & ~ (all_0_115_115 = all_0_119_119) & ~ (all_0_115_115 = e12) & ~ (all_0_116_116 = all_0_117_117) & ~ (all_0_116_116 = all_0_118_118) & ~ (all_0_116_116 = all_0_120_120) & ~ (all_0_116_116 = e10) & ~ (all_0_117_117 = all_0_118_118) & ~ (all_0_117_117 = all_0_121_121) & ~ (all_0_117_117 = e13) & ~ (all_0_118_118 = all_0_122_122) & ~ (all_0_118_118 = e11) & ~ (all_0_119_119 = all_0_120_120) & ~ (all_0_119_119 = all_0_121_121) & ~ (all_0_119_119 = all_0_122_122) & ~ (all_0_119_119 = e12) & ~ (all_0_120_120 = all_0_121_121) & ~ (all_0_120_120 = all_0_122_122) & ~ (all_0_120_120 = e10) & ~ (all_0_121_121 = all_0_122_122) & ~ (all_0_121_121 = e13) & ~ (all_0_122_122 = e11) & ~ (e23 = e22) & ~ (e23 = e21) & ~ (e23 = e20) & ~ (e23 = e13) & ~ (e23 = e12) & ~ (e23 = e11) & ~ (e23 = e10) & ~ (e22 = e21) & ~ (e22 = e20) & ~ (e22 = e13) & ~ (e22 = e12) & ~ (e22 = e11) & ~ (e22 = e10) & ~ (e21 = e20) & ~ (e21 = e13) & ~ (e21 = e12) & ~ (e21 = e11) & ~ (e21 = e10) & ~ (e20 = e13) & ~ (e20 = e12) & ~ (e20 = e11) & ~ (e20 = e10) & ~ (e13 = e12) & ~ (e13 = e11) & ~ (e13 = e10) & ~ (e12 = e11) & ~ (e12 = e10) & ~ (e11 = e10) & op1(unit1, e13) = e13 & op1(unit1, e12) = e12 & op1(unit1, e11) = e11 & op1(unit1, e10) = e10 & op1(e13, unit1) = e13 & op1(e13, e13) = all_0_111_111 & op1(e13, e12) = all_0_112_112 & op1(e13, e11) = all_0_113_113 & op1(e13, e10) = all_0_114_114 & op1(e12, unit1) = e12 & op1(e12, e13) = all_0_115_115 & op1(e12, e12) = all_0_116_116 & op1(e12, e11) = all_0_117_117 & op1(e12, e10) = all_0_118_118 & op1(e11, unit1) = e11 & op1(e11, e13) = e12 & op1(e11, e12) = e10 & op1(e11, e11) = e13 & op1(e11, e10) = e11 & op1(e10, unit1) = e10 & op1(e10, e13) = all_0_119_119 & op1(e10, e12) = all_0_120_120 & op1(e10, e11) = all_0_121_121 & op1(e10, e10) = all_0_122_122 & h1(all_0_111_111) = all_0_67_67 & h1(all_0_112_112) = all_0_69_69 & h1(all_0_113_113) = all_0_71_71 & h1(all_0_114_114) = all_0_73_73 & h1(all_0_115_115) = all_0_75_75 & h1(all_0_116_116) = all_0_77_77 & h1(all_0_117_117) = all_0_79_79 & h1(all_0_118_118) = all_0_81_81 & h1(all_0_119_119) = all_0_86_86 & h1(all_0_120_120) = all_0_88_88 & h1(all_0_121_121) = all_0_90_90 & h1(all_0_122_122) = all_0_92_92 & h1(e13) = all_0_110_110 & h1(e12) = all_0_97_97 & h1(e11) = e20 & h1(e10) = all_0_98_98 & h2(all_0_111_111) = all_0_54_54 & h2(all_0_112_112) = all_0_55_55 & h2(all_0_113_113) = all_0_56_56 & h2(all_0_114_114) = all_0_57_57 & h2(all_0_115_115) = all_0_58_58 & h2(all_0_116_116) = all_0_59_59 & h2(all_0_117_117) = all_0_60_60 & h2(all_0_118_118) = all_0_61_61 & h2(all_0_119_119) = all_0_62_62 & h2(all_0_120_120) = all_0_63_63 & h2(all_0_121_121) = all_0_64_64 & h2(all_0_122_122) = all_0_65_65 & h2(e13) = e23 & h2(e12) = e22 & h2(e11) = e21 & h2(e10) = e20 & h3(all_0_111_111) = all_0_28_28 & h3(all_0_112_112) = all_0_30_30 & h3(all_0_113_113) = all_0_32_32 & h3(all_0_114_114) = all_0_34_34 & h3(all_0_115_115) = all_0_36_36 & h3(all_0_116_116) = all_0_38_38 & h3(all_0_117_117) = all_0_40_40 & h3(all_0_118_118) = all_0_42_42 & h3(all_0_119_119) = all_0_47_47 & h3(all_0_120_120) = all_0_49_49 & h3(all_0_121_121) = all_0_51_51 & h3(all_0_122_122) = all_0_53_53 & h3(e13) = all_0_104_104 & h3(e12) = all_0_95_95 & h3(e11) = e22 & h3(e10) = all_0_96_96 & h4(all_0_111_111) = all_0_1_1 & h4(all_0_112_112) = all_0_3_3 & h4(all_0_113_113) = all_0_5_5 & h4(all_0_114_114) = all_0_7_7 & h4(all_0_115_115) = all_0_9_9 & h4(all_0_116_116) = all_0_11_11 & h4(all_0_117_117) = all_0_13_13 & h4(all_0_118_118) = all_0_15_15 & h4(all_0_119_119) = all_0_20_20 & h4(all_0_120_120) = all_0_22_22 & h4(all_0_121_121) = all_0_24_24 & h4(all_0_122_122) = all_0_26_26 & h4(e13) = all_0_99_99 & h4(e12) = all_0_93_93 & h4(e11) = e23 & h4(e10) = all_0_94_94 & op2(all_0_93_93, all_0_93_93) = all_0_10_10 & op2(all_0_93_93, all_0_94_94) = all_0_14_14 & op2(all_0_93_93, all_0_99_99) = all_0_8_8 & op2(all_0_93_93, e23) = all_0_12_12 & op2(all_0_94_94, all_0_93_93) = all_0_21_21 & op2(all_0_94_94, all_0_94_94) = all_0_25_25 & op2(all_0_94_94, all_0_99_99) = all_0_19_19 & op2(all_0_94_94, e23) = all_0_23_23 & op2(all_0_95_95, all_0_95_95) = all_0_37_37 & op2(all_0_95_95, all_0_96_96) = all_0_41_41 & op2(all_0_95_95, all_0_104_104) = all_0_35_35 & op2(all_0_95_95, e22) = all_0_39_39 & op2(all_0_96_96, all_0_95_95) = all_0_48_48 & op2(all_0_96_96, all_0_96_96) = all_0_52_52 & op2(all_0_96_96, all_0_104_104) = all_0_46_46 & op2(all_0_96_96, e22) = all_0_50_50 & op2(all_0_97_97, all_0_97_97) = all_0_76_76 & op2(all_0_97_97, all_0_98_98) = all_0_80_80 & op2(all_0_97_97, all_0_110_110) = all_0_74_74 & op2(all_0_97_97, e20) = all_0_78_78 & op2(all_0_98_98, all_0_97_97) = all_0_87_87 & op2(all_0_98_98, all_0_98_98) = all_0_91_91 & op2(all_0_98_98, all_0_110_110) = all_0_85_85 & op2(all_0_98_98, e20) = all_0_89_89 & op2(all_0_99_99, all_0_93_93) = all_0_2_2 & op2(all_0_99_99, all_0_94_94) = all_0_6_6 & op2(all_0_99_99, all_0_99_99) = all_0_0_0 & op2(all_0_99_99, e23) = all_0_4_4 & op2(all_0_104_104, all_0_95_95) = all_0_29_29 & op2(all_0_104_104, all_0_96_96) = all_0_33_33 & op2(all_0_104_104, all_0_104_104) = all_0_27_27 & op2(all_0_104_104, e22) = all_0_31_31 & op2(all_0_110_110, all_0_97_97) = all_0_68_68 & op2(all_0_110_110, all_0_98_98) = all_0_72_72 & op2(all_0_110_110, all_0_110_110) = all_0_66_66 & op2(all_0_110_110, e20) = all_0_70_70 & op2(unit2, e23) = e23 & op2(unit2, e22) = e22 & op2(unit2, e21) = e21 & op2(unit2, e20) = e20 & op2(e23, all_0_93_93) = all_0_17_17 & op2(e23, all_0_93_93) = all_0_94_94 & op2(e23, all_0_94_94) = all_0_18_18 & op2(e23, all_0_99_99) = all_0_16_16 & op2(e23, all_0_99_99) = all_0_93_93 & op2(e23, unit2) = e23 & op2(e23, e23) = all_0_99_99 & op2(e23, e22) = all_0_100_100 & op2(e23, e21) = all_0_101_101 & op2(e23, e20) = all_0_102_102 & op2(e22, all_0_95_95) = all_0_44_44 & op2(e22, all_0_95_95) = all_0_96_96 & op2(e22, all_0_96_96) = all_0_45_45 & op2(e22, all_0_104_104) = all_0_43_43 & op2(e22, all_0_104_104) = all_0_95_95 & op2(e22, unit2) = e22 & op2(e22, e23) = all_0_103_103 & op2(e22, e22) = all_0_104_104 & op2(e22, e21) = all_0_105_105 & op2(e22, e20) = all_0_106_106 & op2(e21, unit2) = e21 & op2(e21, e23) = e22 & op2(e21, e22) = e20 & op2(e21, e21) = e23 & op2(e21, e20) = e21 & op2(e20, all_0_97_97) = all_0_83_83 & op2(e20, all_0_97_97) = all_0_98_98 & op2(e20, all_0_98_98) = all_0_84_84 & op2(e20, all_0_110_110) = all_0_82_82 & op2(e20, all_0_110_110) = all_0_97_97 & op2(e20, unit2) = e20 & op2(e20, e23) = all_0_107_107 & op2(e20, e22) = all_0_108_108 & op2(e20, e21) = all_0_109_109 & op2(e20, e20) = all_0_110_110 & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0)) & ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0)) & ( ~ (all_0_0_0 = all_0_1_1) | ~ (all_0_2_2 = all_0_3_3) | ~ (all_0_4_4 = all_0_5_5) | ~ (all_0_6_6 = all_0_7_7) | ~ (all_0_8_8 = all_0_9_9) | ~ (all_0_10_10 = all_0_11_11) | ~ (all_0_12_12 = all_0_13_13) | ~ (all_0_14_14 = all_0_15_15) | ~ (all_0_16_16 = all_0_93_93) | ~ (all_0_17_17 = all_0_94_94) | ~ (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_26_26) | ( ~ (all_0_93_93 = e22) & ~ (all_0_94_94 = e22)) | ( ~ (all_0_93_93 = e21) & ~ (all_0_94_94 = e21) & ~ (all_0_99_99 = e21)) | ( ~ (all_0_93_93 = e20) & ~ (all_0_94_94 = e20) & ~ (all_0_99_99 = e20))) & ( ~ (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_95_95) | ~ (all_0_44_44 = all_0_96_96) | ~ (all_0_45_45 = e22) | ~ (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_95_95 = e23) & ~ (all_0_96_96 = e23) & ~ (all_0_104_104 = e23)) | ( ~ (all_0_95_95 = e21) & ~ (all_0_96_96 = e21) & ~ (all_0_104_104 = e21)) | ( ~ (all_0_95_95 = e20) & ~ (all_0_96_96 = e20))) & ( ~ (all_0_54_54 = all_0_99_99) | ~ (all_0_55_55 = all_0_100_100) | ~ (all_0_56_56 = all_0_101_101) | ~ (all_0_57_57 = all_0_102_102) | ~ (all_0_58_58 = all_0_103_103) | ~ (all_0_59_59 = all_0_104_104) | ~ (all_0_60_60 = all_0_105_105) | ~ (all_0_61_61 = all_0_106_106) | ~ (all_0_62_62 = all_0_107_107) | ~ (all_0_63_63 = all_0_108_108) | ~ (all_0_64_64 = all_0_109_109) | ~ (all_0_65_65 = all_0_110_110)) & ( ~ (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_97_97) | ~ (all_0_83_83 = all_0_98_98) | ~ (all_0_84_84 = e20) | ~ (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_97_97 = e23) & ~ (all_0_98_98 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_97_97 = e22) & ~ (all_0_98_98 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e21))) & ( ~ (all_0_99_99 = e23) | ~ (all_0_104_104 = e23) | ~ (all_0_110_110 = e23)) & ( ~ (all_0_111_111 = e13) | ~ (all_0_116_116 = e13) | ~ (all_0_122_122 = e13)) & (all_0_99_99 = e23 | all_0_99_99 = e21 | all_0_99_99 = e20) & (all_0_99_99 = e23 | all_0_100_100 = e23 | all_0_102_102 = e23) & (all_0_99_99 = e23 | all_0_103_103 = e23 | all_0_107_107 = e23) & (all_0_99_99 = e21 | all_0_100_100 = e21 | all_0_101_101 = e21) & (all_0_99_99 = e21 | all_0_103_103 = e21 | all_0_107_107 = e21) & (all_0_99_99 = e20 | all_0_101_101 = e20 | all_0_102_102 = e20) & (all_0_99_99 = e20 | all_0_103_103 = e20 | all_0_107_107 = e20) & (all_0_100_100 = e23 | all_0_100_100 = e22 | all_0_100_100 = e21) & (all_0_100_100 = e23 | all_0_104_104 = e23 | all_0_108_108 = e23) & (all_0_100_100 = e22 | all_0_101_101 = e22 | all_0_102_102 = e22) & (all_0_100_100 = e22 | all_0_104_104 = e22 | all_0_108_108 = e22) & (all_0_100_100 = e21 | all_0_104_104 = e21 | all_0_108_108 = e21) & (all_0_101_101 = e22 | all_0_101_101 = e21 | all_0_101_101 = e20) & (all_0_101_101 = e22 | all_0_105_105 = e22 | all_0_109_109 = e22) & (all_0_101_101 = e21 | all_0_105_105 = e21 | all_0_109_109 = e21) & (all_0_101_101 = e20 | all_0_105_105 = e20 | all_0_109_109 = e20) & (all_0_102_102 = e23 | all_0_102_102 = e22 | all_0_102_102 = e20) & (all_0_102_102 = e23 | all_0_106_106 = e23 | all_0_110_110 = e23) & (all_0_102_102 = e22 | all_0_106_106 = e22 | all_0_110_110 = e22) & (all_0_102_102 = e20 | all_0_106_106 = e20 | all_0_110_110 = e20) & (all_0_103_103 = e23 | all_0_103_103 = e21 | all_0_103_103 = e20) & (all_0_103_103 = e23 | all_0_104_104 = e23 | all_0_106_106 = e23) & (all_0_103_103 = e21 | all_0_104_104 = e21 | all_0_105_105 = e21) & (all_0_103_103 = e20 | all_0_105_105 = e20 | all_0_106_106 = e20) & (all_0_104_104 = e23 | all_0_104_104 = e22 | all_0_104_104 = e21) & (all_0_104_104 = e22 | all_0_105_105 = e22 | all_0_106_106 = e22) & (all_0_105_105 = e22 | all_0_105_105 = e21 | all_0_105_105 = e20) & (all_0_106_106 = e23 | all_0_106_106 = e22 | all_0_106_106 = e20) & (all_0_107_107 = e23 | all_0_107_107 = e21 | all_0_107_107 = e20) & (all_0_107_107 = e23 | all_0_108_108 = e23 | all_0_110_110 = e23) & (all_0_107_107 = e21 | all_0_108_108 = e21 | all_0_109_109 = e21) & (all_0_107_107 = e20 | all_0_109_109 = e20 | all_0_110_110 = e20) & (all_0_108_108 = e23 | all_0_108_108 = e22 | all_0_108_108 = e21) & (all_0_108_108 = e22 | all_0_109_109 = e22 | all_0_110_110 = e22) & (all_0_109_109 = e22 | all_0_109_109 = e21 | all_0_109_109 = e20) & (all_0_110_110 = e23 | all_0_110_110 = e22 | all_0_110_110 = e20) & (all_0_111_111 = e13 | all_0_111_111 = e11 | all_0_111_111 = e10) & (all_0_111_111 = e13 | all_0_112_112 = e13 | all_0_114_114 = e13) & (all_0_111_111 = e13 | all_0_115_115 = e13 | all_0_119_119 = e13) & (all_0_111_111 = e11 | all_0_112_112 = e11 | all_0_113_113 = e11) & (all_0_111_111 = e11 | all_0_115_115 = e11 | all_0_119_119 = e11) & (all_0_111_111 = e10 | all_0_113_113 = e10 | all_0_114_114 = e10) & (all_0_111_111 = e10 | all_0_115_115 = e10 | all_0_119_119 = e10) & (all_0_112_112 = e13 | all_0_112_112 = e12 | all_0_112_112 = e11) & (all_0_112_112 = e13 | all_0_116_116 = e13 | all_0_120_120 = e13) & (all_0_112_112 = e12 | all_0_113_113 = e12 | all_0_114_114 = e12) & (all_0_112_112 = e12 | all_0_116_116 = e12 | all_0_120_120 = e12) & (all_0_112_112 = e11 | all_0_116_116 = e11 | all_0_120_120 = e11) & (all_0_113_113 = e12 | all_0_113_113 = e11 | all_0_113_113 = e10) & (all_0_113_113 = e12 | all_0_117_117 = e12 | all_0_121_121 = e12) & (all_0_113_113 = e11 | all_0_117_117 = e11 | all_0_121_121 = e11) & (all_0_113_113 = e10 | all_0_117_117 = e10 | all_0_121_121 = e10) & (all_0_114_114 = e13 | all_0_114_114 = e12 | all_0_114_114 = e10) & (all_0_114_114 = e13 | all_0_118_118 = e13 | all_0_122_122 = e13) & (all_0_114_114 = e12 | all_0_118_118 = e12 | all_0_122_122 = e12) & (all_0_114_114 = e10 | all_0_118_118 = e10 | all_0_122_122 = e10) & (all_0_115_115 = e13 | all_0_115_115 = e11 | all_0_115_115 = e10) & (all_0_115_115 = e13 | all_0_116_116 = e13 | all_0_118_118 = e13) & (all_0_115_115 = e11 | all_0_116_116 = e11 | all_0_117_117 = e11) & (all_0_115_115 = e10 | all_0_117_117 = e10 | all_0_118_118 = e10) & (all_0_116_116 = e13 | all_0_116_116 = e12 | all_0_116_116 = e11) & (all_0_116_116 = e12 | all_0_117_117 = e12 | all_0_118_118 = e12) & (all_0_117_117 = e12 | all_0_117_117 = e11 | all_0_117_117 = e10) & (all_0_118_118 = e13 | all_0_118_118 = e12 | all_0_118_118 = e10) & (all_0_119_119 = e13 | all_0_119_119 = e11 | all_0_119_119 = e10) & (all_0_119_119 = e13 | all_0_120_120 = e13 | all_0_122_122 = e13) & (all_0_119_119 = e11 | all_0_120_120 = e11 | all_0_121_121 = e11) & (all_0_119_119 = e10 | all_0_121_121 = e10 | all_0_122_122 = e10) & (all_0_120_120 = e13 | all_0_120_120 = e12 | all_0_120_120 = e11) & (all_0_120_120 = e12 | all_0_121_121 = e12 | all_0_122_122 = e12) & (all_0_121_121 = e12 | all_0_121_121 = e11 | all_0_121_121 = e10) & (all_0_122_122 = e13 | all_0_122_122 = e12 | all_0_122_122 = e10) & (unit2 = e23 | unit2 = e22 | unit2 = e21 | unit2 = e20) & (unit1 = e13 | unit1 = e12 | unit1 = e11 | unit1 = e10)
% 32.79/8.54 |
% 32.79/8.54 | Applying alpha-rule on (1) yields:
% 32.79/8.54 | (2) ~ (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_95_95) | ~ (all_0_44_44 = all_0_96_96) | ~ (all_0_45_45 = e22) | ~ (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_95_95 = e23) & ~ (all_0_96_96 = e23) & ~ (all_0_104_104 = e23)) | ( ~ (all_0_95_95 = e21) & ~ (all_0_96_96 = e21) & ~ (all_0_104_104 = e21)) | ( ~ (all_0_95_95 = e20) & ~ (all_0_96_96 = e20))
% 32.79/8.54 | (3) ~ (all_0_101_101 = e23)
% 32.79/8.54 | (4) ~ (all_0_99_99 = all_0_107_107)
% 32.79/8.54 | (5) ~ (all_0_100_100 = all_0_102_102)
% 32.79/8.54 | (6) op1(e10, e10) = all_0_122_122
% 32.79/8.54 | (7) all_0_119_119 = e13 | all_0_120_120 = e13 | all_0_122_122 = e13
% 32.79/8.54 | (8) op2(all_0_97_97, all_0_98_98) = all_0_80_80
% 32.79/8.54 | (9) ~ (all_0_111_111 = all_0_112_112)
% 32.79/8.54 | (10) ~ (all_0_114_114 = all_0_122_122)
% 32.79/8.54 | (11) op2(all_0_94_94, all_0_99_99) = all_0_19_19
% 32.79/8.54 | (12) all_0_104_104 = e22 | all_0_105_105 = e22 | all_0_106_106 = e22
% 32.79/8.54 | (13) all_0_109_109 = e22 | all_0_109_109 = e21 | all_0_109_109 = e20
% 32.79/8.54 | (14) ~ (all_0_111_111 = all_0_119_119)
% 32.79/8.55 | (15) all_0_99_99 = e23 | all_0_103_103 = e23 | all_0_107_107 = e23
% 32.79/8.55 | (16) op2(e22, e22) = all_0_104_104
% 32.79/8.55 | (17) ~ (all_0_99_99 = e23) | ~ (all_0_104_104 = e23) | ~ (all_0_110_110 = e23)
% 32.79/8.55 | (18) op2(e23, all_0_93_93) = all_0_17_17
% 32.79/8.55 | (19) h1(all_0_113_113) = all_0_71_71
% 32.79/8.55 | (20) ~ (e22 = e11)
% 32.79/8.55 | (21) op1(e10, e11) = all_0_121_121
% 32.79/8.55 | (22) all_0_108_108 = e22 | all_0_109_109 = e22 | all_0_110_110 = e22
% 32.79/8.55 | (23) op2(unit2, e22) = e22
% 32.79/8.55 | (24) ~ (e23 = e10)
% 32.79/8.55 | (25) ~ (all_0_113_113 = all_0_114_114)
% 32.79/8.55 | (26) ~ (all_0_101_101 = all_0_102_102)
% 32.79/8.55 | (27) all_0_107_107 = e23 | all_0_107_107 = e21 | all_0_107_107 = e20
% 32.79/8.55 | (28) ~ (e22 = e21)
% 32.79/8.55 | (29) ~ (all_0_117_117 = e13)
% 32.79/8.55 | (30) h3(all_0_114_114) = all_0_34_34
% 32.79/8.55 | (31) ~ (all_0_99_99 = all_0_102_102)
% 32.79/8.55 | (32) op1(e13, e12) = all_0_112_112
% 32.79/8.55 | (33) h3(e13) = all_0_104_104
% 32.79/8.55 | (34) ~ (e13 = e11)
% 32.79/8.55 | (35) op2(all_0_104_104, all_0_104_104) = all_0_27_27
% 32.79/8.55 | (36) h3(all_0_121_121) = all_0_51_51
% 32.79/8.55 | (37) op2(e20, all_0_110_110) = all_0_82_82
% 32.79/8.55 | (38) op2(e23, unit2) = e23
% 32.79/8.55 | (39) op2(all_0_93_93, all_0_99_99) = all_0_8_8
% 32.79/8.55 | (40) op2(all_0_99_99, all_0_94_94) = all_0_6_6
% 32.79/8.55 | (41) all_0_116_116 = e12 | all_0_117_117 = e12 | all_0_118_118 = e12
% 32.79/8.55 | (42) op2(all_0_104_104, all_0_95_95) = all_0_29_29
% 32.79/8.55 | (43) op2(e22, all_0_95_95) = all_0_44_44
% 32.79/8.55 | (44) ~ (e23 = e20)
% 32.79/8.55 | (45) h1(all_0_120_120) = all_0_88_88
% 32.79/8.55 | (46) h2(all_0_111_111) = all_0_54_54
% 32.79/8.55 | (47) h1(e13) = all_0_110_110
% 32.79/8.55 | (48) ~ (all_0_100_100 = all_0_104_104)
% 32.79/8.55 | (49) h1(all_0_121_121) = all_0_90_90
% 32.79/8.55 | (50) all_0_103_103 = e21 | all_0_104_104 = e21 | all_0_105_105 = e21
% 32.79/8.55 | (51) all_0_121_121 = e12 | all_0_121_121 = e11 | all_0_121_121 = e10
% 32.79/8.55 | (52) op2(all_0_98_98, all_0_110_110) = all_0_85_85
% 32.79/8.55 | (53) op2(all_0_94_94, all_0_93_93) = all_0_21_21
% 32.79/8.55 | (54) ~ (all_0_104_104 = all_0_105_105)
% 32.79/8.55 | (55) ~ (all_0_114_114 = e11)
% 32.79/8.55 | (56) all_0_112_112 = e13 | all_0_112_112 = e12 | all_0_112_112 = e11
% 32.79/8.55 | (57) all_0_115_115 = e10 | all_0_117_117 = e10 | all_0_118_118 = e10
% 32.79/8.55 | (58) ~ (all_0_110_110 = e21)
% 32.79/8.55 | (59) h1(all_0_116_116) = all_0_77_77
% 32.79/8.55 | (60) ~ (all_0_119_119 = e12)
% 32.79/8.55 | (61) op2(e22, e21) = all_0_105_105
% 32.79/8.55 | (62) ~ (all_0_100_100 = e20)
% 32.79/8.55 | (63) ~ (e22 = e13)
% 32.79/8.55 | (64) h1(all_0_115_115) = all_0_75_75
% 32.79/8.55 | (65) h4(all_0_117_117) = all_0_13_13
% 32.93/8.55 | (66) all_0_119_119 = e13 | all_0_119_119 = e11 | all_0_119_119 = e10
% 32.93/8.55 | (67) all_0_107_107 = e20 | all_0_109_109 = e20 | all_0_110_110 = e20
% 32.93/8.55 | (68) op2(all_0_95_95, all_0_96_96) = all_0_41_41
% 32.93/8.55 | (69) op2(e20, all_0_110_110) = all_0_97_97
% 32.93/8.55 | (70) op1(e10, e12) = all_0_120_120
% 32.93/8.55 | (71) all_0_112_112 = e13 | all_0_116_116 = e13 | all_0_120_120 = e13
% 32.93/8.55 | (72) all_0_113_113 = e10 | all_0_117_117 = e10 | all_0_121_121 = e10
% 32.93/8.55 | (73) all_0_114_114 = e13 | all_0_114_114 = e12 | all_0_114_114 = e10
% 32.93/8.55 | (74) h2(all_0_117_117) = all_0_60_60
% 32.93/8.55 | (75) ~ (all_0_100_100 = all_0_101_101)
% 32.93/8.55 | (76) ~ (e13 = e12)
% 32.93/8.55 | (77) ~ (e23 = e13)
% 32.93/8.55 | (78) op1(e11, e11) = e13
% 32.93/8.55 | (79) op2(e23, all_0_99_99) = all_0_93_93
% 32.93/8.55 | (80) op2(e22, e23) = all_0_103_103
% 32.93/8.55 | (81) op2(all_0_93_93, e23) = all_0_12_12
% 32.93/8.55 | (82) all_0_108_108 = e23 | all_0_108_108 = e22 | all_0_108_108 = e21
% 32.93/8.55 | (83) ~ (all_0_99_99 = all_0_100_100)
% 32.93/8.55 | (84) h4(all_0_122_122) = all_0_26_26
% 32.93/8.55 | (85) all_0_114_114 = e10 | all_0_118_118 = e10 | all_0_122_122 = e10
% 32.93/8.55 | (86) op2(all_0_104_104, e22) = all_0_31_31
% 32.93/8.55 | (87) all_0_102_102 = e23 | all_0_106_106 = e23 | all_0_110_110 = e23
% 32.93/8.55 | (88) h4(all_0_120_120) = all_0_22_22
% 32.93/8.55 | (89) op2(e21, e23) = e22
% 32.93/8.55 | (90) all_0_104_104 = e23 | all_0_104_104 = e22 | all_0_104_104 = e21
% 32.93/8.56 | (91) all_0_110_110 = e23 | all_0_110_110 = e22 | all_0_110_110 = e20
% 32.93/8.56 | (92) op1(unit1, e11) = e11
% 32.93/8.56 | (93) op2(all_0_110_110, all_0_98_98) = all_0_72_72
% 32.93/8.56 | (94) ~ (all_0_112_112 = all_0_120_120)
% 32.93/8.56 | (95) ~ (all_0_116_116 = all_0_117_117)
% 32.93/8.56 | (96) all_0_107_107 = e21 | all_0_108_108 = e21 | all_0_109_109 = e21
% 32.93/8.56 | (97) h1(all_0_112_112) = all_0_69_69
% 32.93/8.56 | (98) all_0_99_99 = e21 | all_0_100_100 = e21 | all_0_101_101 = e21
% 32.93/8.56 | (99) all_0_115_115 = e13 | all_0_116_116 = e13 | all_0_118_118 = e13
% 32.93/8.56 | (100) h3(all_0_116_116) = all_0_38_38
% 32.93/8.56 | (101) ~ (all_0_115_115 = all_0_118_118)
% 32.93/8.56 | (102) h3(e12) = all_0_95_95
% 32.93/8.56 | (103) op2(all_0_93_93, all_0_93_93) = all_0_10_10
% 32.93/8.56 | (104) ~ (all_0_112_112 = e10)
% 32.93/8.56 | (105) op2(e21, unit2) = e21
% 32.93/8.56 | (106) ~ (all_0_103_103 = e22)
% 32.93/8.56 | (107) h1(all_0_111_111) = all_0_67_67
% 32.93/8.56 | (108) ~ (e23 = e22)
% 32.93/8.56 | (109) ~ (all_0_103_103 = all_0_106_106)
% 32.93/8.56 | (110) op2(all_0_98_98, all_0_97_97) = all_0_87_87
% 32.93/8.56 | (111) all_0_113_113 = e12 | all_0_117_117 = e12 | all_0_121_121 = e12
% 32.93/8.56 | (112) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h4(v2) = v1) | ~ (h4(v2) = v0))
% 32.93/8.56 | (113) op2(e22, all_0_96_96) = all_0_45_45
% 32.93/8.56 | (114) all_0_101_101 = e22 | all_0_101_101 = e21 | all_0_101_101 = e20
% 32.93/8.56 | (115) h4(all_0_119_119) = all_0_20_20
% 32.93/8.56 | (116) all_0_100_100 = e22 | all_0_104_104 = e22 | all_0_108_108 = e22
% 32.93/8.56 | (117) h2(e10) = e20
% 32.93/8.56 | (118) h4(all_0_118_118) = all_0_15_15
% 32.93/8.56 | (119) h1(e11) = e20
% 32.93/8.56 | (120) op2(e20, e23) = all_0_107_107
% 32.93/8.56 | (121) op2(e22, all_0_95_95) = all_0_96_96
% 32.93/8.56 | (122) h2(all_0_116_116) = all_0_59_59
% 32.93/8.56 | (123) ~ (all_0_54_54 = all_0_99_99) | ~ (all_0_55_55 = all_0_100_100) | ~ (all_0_56_56 = all_0_101_101) | ~ (all_0_57_57 = all_0_102_102) | ~ (all_0_58_58 = all_0_103_103) | ~ (all_0_59_59 = all_0_104_104) | ~ (all_0_60_60 = all_0_105_105) | ~ (all_0_61_61 = all_0_106_106) | ~ (all_0_62_62 = all_0_107_107) | ~ (all_0_63_63 = all_0_108_108) | ~ (all_0_64_64 = all_0_109_109) | ~ (all_0_65_65 = all_0_110_110)
% 32.93/8.56 | (124) all_0_100_100 = e22 | all_0_101_101 = e22 | all_0_102_102 = e22
% 32.93/8.56 | (125) h2(all_0_118_118) = all_0_61_61
% 32.93/8.56 | (126) ~ (all_0_117_117 = all_0_121_121)
% 32.93/8.56 | (127) ~ (all_0_115_115 = all_0_117_117)
% 32.93/8.56 | (128) op2(e20, all_0_98_98) = all_0_84_84
% 32.93/8.56 | (129) h3(all_0_119_119) = all_0_47_47
% 32.93/8.56 | (130) ~ (all_0_104_104 = all_0_106_106)
% 32.93/8.56 | (131) ~ (all_0_106_106 = all_0_110_110)
% 32.93/8.56 | (132) ~ (all_0_99_99 = e22)
% 32.93/8.56 | (133) all_0_113_113 = e11 | all_0_117_117 = e11 | all_0_121_121 = e11
% 32.93/8.56 | (134) ~ (e13 = e10)
% 32.93/8.56 | (135) h1(e12) = all_0_97_97
% 32.93/8.56 | (136) op1(e12, unit1) = e12
% 32.93/8.56 | (137) all_0_101_101 = e21 | all_0_105_105 = e21 | all_0_109_109 = e21
% 32.93/8.56 | (138) ~ (e11 = e10)
% 32.93/8.56 | (139) ~ (all_0_113_113 = all_0_121_121)
% 32.93/8.56 | (140) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h2(v2) = v1) | ~ (h2(v2) = v0))
% 32.93/8.56 | (141) op2(all_0_96_96, e22) = all_0_50_50
% 32.93/8.56 | (142) ~ (e21 = e12)
% 32.93/8.56 | (143) all_0_112_112 = e12 | all_0_116_116 = e12 | all_0_120_120 = e12
% 32.93/8.56 | (144) ~ (all_0_103_103 = all_0_105_105)
% 32.93/8.56 | (145) op1(e13, e10) = all_0_114_114
% 32.93/8.56 | (146) ~ (all_0_101_101 = all_0_109_109)
% 32.93/8.56 | (147) ~ (all_0_122_122 = e11)
% 32.93/8.56 | (148) op1(e13, e11) = all_0_113_113
% 32.93/8.56 | (149) ~ (all_0_111_111 = e13) | ~ (all_0_116_116 = e13) | ~ (all_0_122_122 = e13)
% 32.93/8.56 | (150) op2(all_0_99_99, all_0_93_93) = all_0_2_2
% 32.93/8.56 | (151) op2(e21, e22) = e20
% 32.93/8.57 | (152) op2(e20, e22) = all_0_108_108
% 32.93/8.57 | (153) all_0_111_111 = e13 | all_0_111_111 = e11 | all_0_111_111 = e10
% 32.93/8.57 | (154) all_0_100_100 = e23 | all_0_100_100 = e22 | all_0_100_100 = e21
% 32.93/8.57 | (155) all_0_111_111 = e13 | all_0_112_112 = e13 | all_0_114_114 = e13
% 32.93/8.57 | (156) ~ (all_0_99_99 = all_0_103_103)
% 32.93/8.57 | (157) ~ (all_0_111_111 = all_0_115_115)
% 32.93/8.57 | (158) h4(all_0_114_114) = all_0_7_7
% 32.93/8.57 | (159) ~ (e12 = e10)
% 32.93/8.57 | (160) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h3(v2) = v1) | ~ (h3(v2) = v0))
% 32.93/8.57 | (161) ~ (all_0_104_104 = e20)
% 32.93/8.57 | (162) op2(all_0_98_98, e20) = all_0_89_89
% 32.93/8.57 | (163) all_0_103_103 = e23 | all_0_103_103 = e21 | all_0_103_103 = e20
% 32.93/8.57 | (164) ~ (all_0_118_118 = e11)
% 32.93/8.57 | (165) h3(all_0_117_117) = all_0_40_40
% 32.93/8.57 | (166) ~ (all_0_103_103 = all_0_107_107)
% 32.93/8.57 | (167) h4(all_0_121_121) = all_0_24_24
% 32.93/8.57 | (168) all_0_99_99 = e23 | all_0_99_99 = e21 | all_0_99_99 = e20
% 32.93/8.57 | (169) h4(all_0_111_111) = all_0_1_1
% 32.93/8.57 | (170) op1(e12, e10) = all_0_118_118
% 32.93/8.57 | (171) op2(unit2, e21) = e21
% 32.93/8.57 | (172) op2(unit2, e20) = e20
% 32.93/8.57 | (173) ~ (all_0_119_119 = all_0_121_121)
% 32.93/8.57 | (174) all_0_111_111 = e11 | all_0_112_112 = e11 | all_0_113_113 = e11
% 32.93/8.57 | (175) op2(e20, e21) = all_0_109_109
% 32.93/8.57 | (176) ~ (all_0_100_100 = all_0_108_108)
% 32.93/8.57 | (177) ~ (all_0_113_113 = e13)
% 32.93/8.57 | (178) ~ (all_0_101_101 = all_0_105_105)
% 32.93/8.57 | (179) ~ (all_0_109_109 = all_0_110_110)
% 32.93/8.57 | (180) ~ (all_0_111_111 = e12)
% 32.93/8.57 | (181) op2(all_0_104_104, all_0_96_96) = all_0_33_33
% 32.93/8.57 | (182) h2(all_0_115_115) = all_0_58_58
% 32.93/8.57 | (183) ~ (e23 = e11)
% 32.93/8.57 | (184) ~ (all_0_99_99 = all_0_101_101)
% 32.93/8.57 | (185) all_0_111_111 = e11 | all_0_115_115 = e11 | all_0_119_119 = e11
% 32.93/8.57 | (186) h4(e12) = all_0_93_93
% 32.93/8.57 | (187) ~ (all_0_112_112 = all_0_116_116)
% 32.93/8.57 | (188) op2(e22, all_0_104_104) = all_0_95_95
% 32.93/8.57 | (189) op1(unit1, e10) = e10
% 32.93/8.57 | (190) op2(e23, all_0_93_93) = all_0_94_94
% 32.93/8.57 | (191) op2(e22, e20) = all_0_106_106
% 32.93/8.57 | (192) ~ (all_0_117_117 = all_0_118_118)
% 32.93/8.57 | (193) h2(all_0_122_122) = all_0_65_65
% 32.93/8.57 | (194) all_0_111_111 = e10 | all_0_113_113 = e10 | all_0_114_114 = e10
% 32.93/8.57 | (195) ~ (all_0_107_107 = e22)
% 32.93/8.57 | (196) op2(e20, all_0_97_97) = all_0_83_83
% 32.93/8.57 | (197) op2(all_0_96_96, all_0_96_96) = all_0_52_52
% 32.93/8.57 | (198) ~ (all_0_111_111 = all_0_113_113)
% 32.93/8.57 | (199) op2(e23, e20) = all_0_102_102
% 32.93/8.57 | (200) h1(all_0_122_122) = all_0_92_92
% 32.93/8.57 | (201) op2(all_0_93_93, all_0_94_94) = all_0_14_14
% 32.93/8.57 | (202) op2(e20, unit2) = e20
% 32.93/8.57 | (203) h3(all_0_113_113) = all_0_32_32
% 32.93/8.57 | (204) ~ (all_0_121_121 = e13)
% 32.93/8.57 | (205) op1(unit1, e13) = e13
% 32.93/8.57 | (206) op1(e13, unit1) = e13
% 32.93/8.57 | (207) op1(e10, unit1) = e10
% 32.93/8.57 | (208) ~ (e12 = e11)
% 32.93/8.58 | (209) op2(e23, e23) = all_0_99_99
% 32.93/8.58 | (210) ~ (all_0_116_116 = e10)
% 32.93/8.58 | (211) h3(all_0_115_115) = all_0_36_36
% 32.93/8.58 | (212) op2(all_0_95_95, all_0_104_104) = all_0_35_35
% 32.93/8.58 | (213) op2(all_0_95_95, all_0_95_95) = all_0_37_37
% 32.93/8.58 | (214) ~ (all_0_104_104 = all_0_108_108)
% 32.93/8.58 | (215) ~ (all_0_115_115 = all_0_119_119)
% 32.93/8.58 | (216) h1(all_0_118_118) = all_0_81_81
% 32.93/8.58 | (217) op2(e23, all_0_99_99) = all_0_16_16
% 32.93/8.58 | (218) all_0_102_102 = e22 | all_0_106_106 = e22 | all_0_110_110 = e22
% 32.93/8.58 | (219) h3(all_0_112_112) = all_0_30_30
% 32.93/8.58 | (220) ~ (all_0_103_103 = all_0_104_104)
% 32.93/8.58 | (221) ~ (all_0_107_107 = all_0_108_108)
% 32.93/8.58 | (222) all_0_115_115 = e11 | all_0_116_116 = e11 | all_0_117_117 = e11
% 32.93/8.58 | (223) all_0_107_107 = e23 | all_0_108_108 = e23 | all_0_110_110 = e23
% 32.93/8.58 | (224) op2(e21, e21) = e23
% 32.93/8.58 | (225) all_0_118_118 = e13 | all_0_118_118 = e12 | all_0_118_118 = e10
% 32.93/8.58 | (226) op1(e12, e12) = all_0_116_116
% 32.93/8.58 | (227) ~ (all_0_102_102 = all_0_106_106)
% 32.93/8.58 | (228) h1(all_0_117_117) = all_0_79_79
% 32.93/8.58 | (229) op1(e11, e13) = e12
% 32.93/8.58 | (230) op2(e23, e22) = all_0_100_100
% 32.93/8.58 | (231) ~ (e22 = e12)
% 32.93/8.58 | (232) all_0_114_114 = e13 | all_0_118_118 = e13 | all_0_122_122 = e13
% 32.93/8.58 | (233) all_0_111_111 = e10 | all_0_115_115 = e10 | all_0_119_119 = e10
% 32.93/8.58 | (234) op2(all_0_110_110, e20) = all_0_70_70
% 32.93/8.58 | (235) ~ (all_0_120_120 = e10)
% 32.93/8.58 | (236) op2(e22, all_0_104_104) = all_0_43_43
% 32.93/8.58 | (237) ~ (all_0_108_108 = e20)
% 32.93/8.58 | (238) ~ (e21 = e13)
% 32.93/8.58 | (239) h4(all_0_113_113) = all_0_5_5
% 32.93/8.58 | (240) op2(e20, all_0_97_97) = all_0_98_98
% 32.93/8.58 | (241) ~ (all_0_105_105 = all_0_106_106)
% 32.93/8.58 | (242) all_0_103_103 = e20 | all_0_105_105 = e20 | all_0_106_106 = e20
% 32.93/8.58 | (243) all_0_113_113 = e12 | all_0_113_113 = e11 | all_0_113_113 = e10
% 32.93/8.58 | (244) h3(e10) = all_0_96_96
% 32.93/8.58 | (245) ~ (all_0_105_105 = all_0_109_109)
% 32.93/8.58 | (246) op1(e11, unit1) = e11
% 32.93/8.58 | (247) all_0_99_99 = e21 | all_0_103_103 = e21 | all_0_107_107 = e21
% 32.93/8.58 | (248) ~ (all_0_112_112 = all_0_113_113)
% 32.93/8.58 | (249) ~ (all_0_114_114 = all_0_118_118)
% 32.93/8.58 | (250) op2(e23, e21) = all_0_101_101
% 32.93/8.58 | (251) h2(e11) = e21
% 32.93/8.58 | (252) ~ (all_0_113_113 = all_0_117_117)
% 32.93/8.58 | (253) all_0_115_115 = e13 | all_0_115_115 = e11 | all_0_115_115 = e10
% 32.93/8.58 | (254) h3(all_0_111_111) = all_0_28_28
% 32.93/8.58 | (255) op1(e13, e13) = all_0_111_111
% 32.93/8.58 | (256) h2(all_0_120_120) = all_0_63_63
% 32.93/8.58 | (257) h2(all_0_114_114) = all_0_57_57
% 32.93/8.59 | (258) ~ (all_0_119_119 = all_0_120_120)
% 32.93/8.59 | (259) op1(e11, e10) = e11
% 32.93/8.59 | (260) h3(all_0_118_118) = all_0_42_42
% 32.93/8.59 | (261) h2(all_0_112_112) = all_0_55_55
% 32.93/8.59 | (262) ~ (all_0_120_120 = all_0_122_122)
% 32.93/8.59 | (263) op2(all_0_98_98, all_0_98_98) = all_0_91_91
% 32.93/8.59 | (264) ~ (e23 = e12)
% 32.93/8.59 | (265) op2(all_0_110_110, all_0_110_110) = all_0_66_66
% 32.93/8.59 | (266) all_0_99_99 = e20 | all_0_103_103 = e20 | all_0_107_107 = e20
% 32.93/8.59 | (267) ~ (all_0_115_115 = all_0_116_116)
% 32.93/8.59 | (268) ~ (e20 = e11)
% 32.93/8.59 | (269) ~ (all_0_119_119 = all_0_122_122)
% 32.93/8.59 | (270) all_0_112_112 = e12 | all_0_113_113 = e12 | all_0_114_114 = e12
% 32.93/8.59 | (271) h4(e11) = e23
% 32.93/8.59 | (272) unit1 = e13 | unit1 = e12 | unit1 = e11 | unit1 = e10
% 32.93/8.59 | (273) ~ (all_0_111_111 = all_0_114_114)
% 32.93/8.59 | (274) h4(all_0_116_116) = all_0_11_11
% 32.93/8.59 | (275) ~ (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_93_93) | ~ (all_0_17_17 = all_0_94_94) | ~ (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_26_26) | ( ~ (all_0_93_93 = e22) & ~ (all_0_94_94 = e22)) | ( ~ (all_0_93_93 = e21) & ~ (all_0_94_94 = e21) & ~ (all_0_99_99 = e21)) | ( ~ (all_0_93_93 = e20) & ~ (all_0_94_94 = e20) & ~ (all_0_99_99 = e20))
% 32.93/8.59 | (276) h1(all_0_114_114) = all_0_73_73
% 32.93/8.59 | (277) unit2 = e23 | unit2 = e22 | unit2 = e21 | unit2 = e20
% 32.93/8.59 | (278) h2(all_0_119_119) = all_0_62_62
% 32.93/8.59 | (279) ~ (e23 = e21)
% 32.93/8.59 | (280) ~ (e21 = e20)
% 32.93/8.59 | (281) ~ (e20 = e10)
% 32.93/8.59 | (282) all_0_112_112 = e11 | all_0_116_116 = e11 | all_0_120_120 = e11
% 32.93/8.59 | (283) all_0_100_100 = e21 | all_0_104_104 = e21 | all_0_108_108 = e21
% 32.93/8.59 | (284) all_0_120_120 = e13 | all_0_120_120 = e12 | all_0_120_120 = e11
% 32.93/8.59 | (285) h2(all_0_121_121) = all_0_64_64
% 32.93/8.59 | (286) ~ (all_0_118_118 = all_0_122_122)
% 32.93/8.59 | (287) op2(e23, all_0_94_94) = all_0_18_18
% 32.93/8.59 | (288) all_0_122_122 = e13 | all_0_122_122 = e12 | all_0_122_122 = e10
% 32.93/8.59 | (289) h2(e13) = e23
% 32.93/8.59 | (290) all_0_101_101 = e22 | all_0_105_105 = e22 | all_0_109_109 = e22
% 32.93/8.59 | (291) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op1(v3, v2) = v1) | ~ (op1(v3, v2) = v0))
% 32.93/8.59 | (292) op2(all_0_99_99, all_0_99_99) = all_0_0_0
% 32.93/8.59 | (293) ~ (all_0_102_102 = all_0_110_110)
% 32.93/8.59 | (294) ~ (all_0_116_116 = all_0_120_120)
% 32.93/8.59 | (295) op2(all_0_97_97, e20) = all_0_78_78
% 32.93/8.59 | (296) h3(all_0_122_122) = all_0_53_53
% 32.93/8.59 | (297) ~ (all_0_121_121 = all_0_122_122)
% 32.93/8.60 | (298) op1(e11, e12) = e10
% 32.93/8.60 | (299) op2(unit2, e23) = e23
% 32.93/8.60 | (300) ~ (all_0_115_115 = e12)
% 32.93/8.60 | (301) op1(e12, e13) = all_0_115_115
% 32.93/8.60 | (302) all_0_102_102 = e23 | all_0_102_102 = e22 | all_0_102_102 = e20
% 32.93/8.60 | (303) h3(all_0_120_120) = all_0_49_49
% 32.93/8.60 | (304) ~ (e22 = e20)
% 32.93/8.60 | (305) ~ (e21 = e11)
% 32.93/8.60 | (306) op2(all_0_97_97, all_0_97_97) = all_0_76_76
% 32.93/8.60 | (307) ~ (e20 = e12)
% 32.93/8.60 | (308) ~ (all_0_102_102 = e21)
% 32.93/8.60 | (309) op2(all_0_97_97, all_0_110_110) = all_0_74_74
% 32.93/8.60 | (310) all_0_99_99 = e23 | all_0_100_100 = e23 | all_0_102_102 = e23
% 32.93/8.60 | (311) all_0_99_99 = e20 | all_0_101_101 = e20 | all_0_102_102 = e20
% 32.93/8.60 | (312) ! [v0] : ! [v1] : ! [v2] : ! [v3] : (v1 = v0 | ~ (op2(v3, v2) = v1) | ~ (op2(v3, v2) = v0))
% 32.93/8.60 | (313) ~ (e21 = e10)
% 32.93/8.60 | (314) ~ (all_0_109_109 = e23)
% 32.93/8.60 | (315) op1(e10, e13) = all_0_119_119
% 32.93/8.60 | (316) all_0_117_117 = e12 | all_0_117_117 = e11 | all_0_117_117 = e10
% 32.93/8.60 | (317) ~ (all_0_107_107 = all_0_109_109)
% 32.93/8.60 | (318) all_0_100_100 = e23 | all_0_104_104 = e23 | all_0_108_108 = e23
% 32.93/8.60 | (319) all_0_119_119 = e10 | all_0_121_121 = e10 | all_0_122_122 = e10
% 32.93/8.60 | (320) all_0_119_119 = e11 | all_0_120_120 = e11 | all_0_121_121 = e11
% 32.93/8.60 | (321) h1(e10) = all_0_98_98
% 32.93/8.60 | (322) op2(e21, e20) = e21
% 32.93/8.60 | (323) op2(all_0_94_94, all_0_94_94) = all_0_25_25
% 32.93/8.60 | (324) all_0_116_116 = e13 | all_0_116_116 = e12 | all_0_116_116 = e11
% 32.93/8.60 | (325) all_0_120_120 = e12 | all_0_121_121 = e12 | all_0_122_122 = e12
% 32.93/8.60 | (326) all_0_106_106 = e23 | all_0_106_106 = e22 | all_0_106_106 = e20
% 32.93/8.60 | (327) ~ (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_97_97) | ~ (all_0_83_83 = all_0_98_98) | ~ (all_0_84_84 = e20) | ~ (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_97_97 = e23) & ~ (all_0_98_98 = e23) & ~ (all_0_110_110 = e23)) | ( ~ (all_0_97_97 = e22) & ~ (all_0_98_98 = e22) & ~ (all_0_110_110 = e22)) | ( ~ (all_0_97_97 = e21) & ~ (all_0_98_98 = e21))
% 32.93/8.60 | (328) h2(all_0_113_113) = all_0_56_56
% 32.93/8.60 | (329) h2(e12) = e22
% 32.93/8.60 | (330) h3(e11) = e22
% 32.93/8.60 | (331) ~ (all_0_108_108 = all_0_109_109)
% 32.93/8.60 | (332) op2(all_0_95_95, e22) = all_0_39_39
% 32.93/8.60 | (333) ~ (all_0_120_120 = all_0_121_121)
% 32.93/8.60 | (334) op2(e22, unit2) = e22
% 32.93/8.60 | (335) h4(all_0_115_115) = all_0_9_9
% 32.93/8.60 | (336) ~ (all_0_116_116 = all_0_118_118)
% 32.93/8.61 | (337) h4(e13) = all_0_99_99
% 32.93/8.61 | (338) op2(all_0_94_94, e23) = all_0_23_23
% 32.93/8.61 | (339) all_0_111_111 = e13 | all_0_115_115 = e13 | all_0_119_119 = e13
% 32.93/8.61 | (340) op2(e20, e20) = all_0_110_110
% 32.93/8.61 | (341) all_0_105_105 = e22 | all_0_105_105 = e21 | all_0_105_105 = e20
% 32.93/8.61 | (342) ~ (e22 = e10)
% 32.93/8.61 | (343) all_0_103_103 = e23 | all_0_104_104 = e23 | all_0_106_106 = e23
% 32.93/8.61 | (344) op2(all_0_99_99, e23) = all_0_4_4
% 32.93/8.61 | (345) op1(e12, e11) = all_0_117_117
% 32.93/8.61 | (346) ~ (all_0_108_108 = all_0_110_110)
% 32.93/8.61 | (347) op2(all_0_96_96, all_0_95_95) = all_0_48_48
% 32.93/8.61 | (348) h1(all_0_119_119) = all_0_86_86
% 32.93/8.61 | (349) op2(all_0_96_96, all_0_104_104) = all_0_46_46
% 32.93/8.61 | (350) h4(e10) = all_0_94_94
% 32.93/8.61 | (351) h4(all_0_112_112) = all_0_3_3
% 32.93/8.61 | (352) ~ (e20 = e13)
% 32.93/8.61 | (353) ~ (all_0_107_107 = all_0_110_110)
% 32.93/8.61 | (354) all_0_102_102 = e20 | all_0_106_106 = e20 | all_0_110_110 = e20
% 32.93/8.61 | (355) ~ (all_0_105_105 = e23)
% 32.93/8.61 | (356) ~ (all_0_112_112 = all_0_114_114)
% 32.93/8.61 | (357) all_0_114_114 = e12 | all_0_118_118 = e12 | all_0_122_122 = e12
% 32.93/8.61 | (358) ~ (all_0_106_106 = e21)
% 32.93/8.61 | (359) op2(all_0_110_110, all_0_97_97) = all_0_68_68
% 32.93/8.61 | (360) ! [v0] : ! [v1] : ! [v2] : (v1 = v0 | ~ (h1(v2) = v1) | ~ (h1(v2) = v0))
% 32.93/8.61 | (361) all_0_101_101 = e20 | all_0_105_105 = e20 | all_0_109_109 = e20
% 32.93/8.61 | (362) op1(unit1, e12) = e12
% 32.93/8.61 |
% 32.93/8.61 | Instantiating formula (312) with e23, all_0_93_93, all_0_94_94, all_0_17_17 and discharging atoms op2(e23, all_0_93_93) = all_0_17_17, op2(e23, all_0_93_93) = all_0_94_94, yields:
% 32.93/8.61 | (363) all_0_17_17 = all_0_94_94
% 32.93/8.61 |
% 32.93/8.61 | Instantiating formula (312) with e23, all_0_99_99, all_0_93_93, all_0_16_16 and discharging atoms op2(e23, all_0_99_99) = all_0_16_16, op2(e23, all_0_99_99) = all_0_93_93, yields:
% 32.93/8.61 | (364) all_0_16_16 = all_0_93_93
% 32.93/8.61 |
% 32.93/8.61 | Instantiating formula (312) with e22, all_0_95_95, all_0_96_96, all_0_44_44 and discharging atoms op2(e22, all_0_95_95) = all_0_44_44, op2(e22, all_0_95_95) = all_0_96_96, yields:
% 32.93/8.61 | (365) all_0_44_44 = all_0_96_96
% 32.93/8.61 |
% 32.93/8.61 | Instantiating formula (312) with e22, all_0_104_104, all_0_95_95, all_0_43_43 and discharging atoms op2(e22, all_0_104_104) = all_0_43_43, op2(e22, all_0_104_104) = all_0_95_95, yields:
% 32.93/8.61 | (366) all_0_43_43 = all_0_95_95
% 32.93/8.61 |
% 32.93/8.61 | Instantiating formula (312) with e20, all_0_97_97, all_0_98_98, all_0_83_83 and discharging atoms op2(e20, all_0_97_97) = all_0_83_83, op2(e20, all_0_97_97) = all_0_98_98, yields:
% 32.93/8.61 | (367) all_0_83_83 = all_0_98_98
% 32.93/8.61 |
% 32.93/8.61 | Instantiating formula (312) with e20, all_0_110_110, all_0_97_97, all_0_82_82 and discharging atoms op2(e20, all_0_110_110) = all_0_82_82, op2(e20, all_0_110_110) = all_0_97_97, yields:
% 32.93/8.61 | (368) all_0_82_82 = all_0_97_97
% 32.93/8.61 |
% 32.93/8.61 | From (363) and (18) follows:
% 32.93/8.61 | (190) op2(e23, all_0_93_93) = all_0_94_94
% 32.93/8.61 |
% 32.93/8.61 | From (364) and (217) follows:
% 32.93/8.61 | (79) op2(e23, all_0_99_99) = all_0_93_93
% 32.93/8.61 |
% 32.93/8.61 | From (365) and (43) follows:
% 32.93/8.61 | (121) op2(e22, all_0_95_95) = all_0_96_96
% 32.93/8.61 |
% 32.93/8.61 | From (366) and (236) follows:
% 32.93/8.61 | (188) op2(e22, all_0_104_104) = all_0_95_95
% 32.93/8.61 |
% 32.93/8.61 | From (367) and (196) follows:
% 32.93/8.61 | (240) op2(e20, all_0_97_97) = all_0_98_98
% 32.93/8.61 |
% 32.93/8.61 | From (368) and (37) follows:
% 32.93/8.61 | (69) op2(e20, all_0_110_110) = all_0_97_97
% 32.93/8.61 |
% 32.93/8.61 +-Applying beta-rule and splitting (91), into two cases.
% 32.93/8.61 |-Branch one:
% 32.93/8.61 | (375) all_0_110_110 = e23
% 32.93/8.61 |
% 32.93/8.61 | Equations (375) can reduce 293 to:
% 32.93/8.61 | (376) ~ (all_0_102_102 = e23)
% 32.93/8.61 |
% 32.93/8.61 | Equations (375) can reduce 131 to:
% 32.93/8.61 | (377) ~ (all_0_106_106 = e23)
% 32.93/8.61 |
% 32.93/8.61 | Equations (375) can reduce 179 to:
% 32.93/8.61 | (314) ~ (all_0_109_109 = e23)
% 32.93/8.61 |
% 32.93/8.61 | Equations (375) can reduce 58 to:
% 32.93/8.61 | (279) ~ (e23 = e21)
% 32.93/8.61 |
% 32.93/8.61 | From (375) and (309) follows:
% 32.93/8.61 | (380) op2(all_0_97_97, e23) = all_0_74_74
% 32.93/8.61 |
% 32.93/8.61 | From (375) and (52) follows:
% 32.93/8.61 | (381) op2(all_0_98_98, e23) = all_0_85_85
% 32.93/8.61 |
% 32.93/8.61 | From (375) and (359) follows:
% 32.93/8.61 | (382) op2(e23, all_0_97_97) = all_0_68_68
% 32.93/8.61 |
% 32.93/8.61 | From (375) and (93) follows:
% 32.93/8.62 | (383) op2(e23, all_0_98_98) = all_0_72_72
% 32.93/8.62 |
% 32.93/8.62 | From (375)(375) and (265) follows:
% 32.93/8.62 | (384) op2(e23, e23) = all_0_66_66
% 32.93/8.62 |
% 32.93/8.62 | From (375) and (234) follows:
% 32.93/8.62 | (385) op2(e23, e20) = all_0_70_70
% 32.93/8.62 |
% 32.93/8.62 | From (375) and (69) follows:
% 32.93/8.62 | (386) op2(e20, e23) = all_0_97_97
% 32.93/8.62 |
% 32.93/8.62 | From (375) and (340) follows:
% 32.93/8.62 | (387) op2(e20, e20) = e23
% 32.93/8.62 |
% 32.93/8.62 | Instantiating formula (312) with e23, e23, all_0_66_66, all_0_99_99 and discharging atoms op2(e23, e23) = all_0_66_66, op2(e23, e23) = all_0_99_99, yields:
% 32.93/8.62 | (388) all_0_66_66 = all_0_99_99
% 32.93/8.62 |
% 32.93/8.62 | Instantiating formula (312) with e23, e20, all_0_70_70, all_0_102_102 and discharging atoms op2(e23, e20) = all_0_70_70, op2(e23, e20) = all_0_102_102, yields:
% 32.93/8.62 | (389) all_0_70_70 = all_0_102_102
% 32.93/8.62 |
% 32.93/8.62 | Instantiating formula (312) with e20, e23, all_0_97_97, all_0_107_107 and discharging atoms op2(e20, e23) = all_0_97_97, op2(e20, e23) = all_0_107_107, yields:
% 32.93/8.62 | (390) all_0_97_97 = all_0_107_107
% 32.93/8.62 |
% 32.93/8.62 | From (390)(390) and (306) follows:
% 32.93/8.62 | (391) op2(all_0_107_107, all_0_107_107) = all_0_76_76
% 32.93/8.62 |
% 32.93/8.62 | From (390) and (380) follows:
% 32.93/8.62 | (392) op2(all_0_107_107, e23) = all_0_74_74
% 32.93/8.62 |
% 32.93/8.62 | From (390) and (295) follows:
% 32.93/8.62 | (393) op2(all_0_107_107, e20) = all_0_78_78
% 32.93/8.62 |
% 32.93/8.62 | From (390) and (382) follows:
% 32.93/8.62 | (394) op2(e23, all_0_107_107) = all_0_68_68
% 32.93/8.62 |
% 32.93/8.62 | From (388) and (384) follows:
% 32.93/8.62 | (209) op2(e23, e23) = all_0_99_99
% 32.93/8.62 |
% 32.93/8.62 | From (389) and (385) follows:
% 32.93/8.62 | (199) op2(e23, e20) = all_0_102_102
% 32.93/8.62 |
% 32.93/8.62 | From (390) and (240) follows:
% 32.93/8.62 | (397) op2(e20, all_0_107_107) = all_0_98_98
% 32.93/8.62 |
% 32.93/8.62 | From (390) and (386) follows:
% 32.93/8.62 | (120) op2(e20, e23) = all_0_107_107
% 32.93/8.62 |
% 32.93/8.62 +-Applying beta-rule and splitting (17), into two cases.
% 32.93/8.62 |-Branch one:
% 32.93/8.62 | (399) ~ (all_0_99_99 = e23)
% 32.93/8.62 |
% 32.93/8.62 +-Applying beta-rule and splitting (310), into two cases.
% 32.93/8.62 |-Branch one:
% 32.93/8.62 | (400) all_0_99_99 = e23
% 32.93/8.62 |
% 32.93/8.62 | Equations (400) can reduce 399 to:
% 32.93/8.62 | (401) $false
% 32.93/8.62 |
% 32.93/8.62 |-The branch is then unsatisfiable
% 32.93/8.62 |-Branch two:
% 32.93/8.62 | (399) ~ (all_0_99_99 = e23)
% 32.93/8.62 | (403) all_0_100_100 = e23 | all_0_102_102 = e23
% 32.93/8.62 |
% 32.93/8.62 +-Applying beta-rule and splitting (403), into two cases.
% 32.93/8.62 |-Branch one:
% 32.93/8.62 | (404) all_0_100_100 = e23
% 32.93/8.62 |
% 32.93/8.62 | Equations (404) can reduce 5 to:
% 32.93/8.62 | (405) ~ (all_0_102_102 = e23)
% 32.93/8.62 |
% 32.93/8.62 | Simplifying 405 yields:
% 32.93/8.62 | (376) ~ (all_0_102_102 = e23)
% 32.93/8.62 |
% 32.93/8.62 | Equations (404) can reduce 48 to:
% 32.93/8.62 | (407) ~ (all_0_104_104 = e23)
% 32.93/8.62 |
% 32.93/8.62 | Simplifying 407 yields:
% 32.93/8.62 | (408) ~ (all_0_104_104 = e23)
% 32.93/8.62 |
% 32.93/8.62 | Equations (404) can reduce 176 to:
% 32.93/8.62 | (409) ~ (all_0_108_108 = e23)
% 32.93/8.62 |
% 32.93/8.62 | Simplifying 409 yields:
% 32.93/8.62 | (410) ~ (all_0_108_108 = e23)
% 32.93/8.62 |
% 32.93/8.62 | Equations (404) can reduce 62 to:
% 32.93/8.62 | (44) ~ (e23 = e20)
% 32.93/8.62 |
% 32.93/8.62 | From (404) and (230) follows:
% 32.93/8.62 | (412) op2(e23, e22) = e23
% 32.93/8.62 |
% 32.93/8.62 +-Applying beta-rule and splitting (343), into two cases.
% 32.93/8.62 |-Branch one:
% 32.93/8.62 | (413) all_0_103_103 = e23
% 32.93/8.62 |
% 32.93/8.62 | Equations (413) can reduce 156 to:
% 32.93/8.62 | (399) ~ (all_0_99_99 = e23)
% 32.93/8.62 |
% 32.93/8.62 | Equations (413) can reduce 109 to:
% 32.93/8.62 | (415) ~ (all_0_106_106 = e23)
% 32.93/8.62 |
% 32.93/8.62 | Simplifying 415 yields:
% 32.93/8.62 | (377) ~ (all_0_106_106 = e23)
% 32.93/8.62 |
% 32.93/8.62 | Equations (413) can reduce 166 to:
% 32.93/8.62 | (417) ~ (all_0_107_107 = e23)
% 32.93/8.62 |
% 32.93/8.62 | Simplifying 417 yields:
% 32.93/8.62 | (418) ~ (all_0_107_107 = e23)
% 32.93/8.62 |
% 32.93/8.62 | Equations (413) can reduce 106 to:
% 32.93/8.62 | (108) ~ (e23 = e22)
% 32.93/8.62 |
% 32.93/8.62 | From (413) and (80) follows:
% 32.93/8.62 | (420) op2(e22, e23) = e23
% 32.93/8.62 |
% 32.93/8.62 +-Applying beta-rule and splitting (82), into two cases.
% 32.93/8.62 |-Branch one:
% 32.93/8.62 | (421) all_0_108_108 = e23
% 32.93/8.62 |
% 32.93/8.62 | Equations (421) can reduce 410 to:
% 32.93/8.62 | (401) $false
% 32.93/8.62 |
% 32.93/8.62 |-The branch is then unsatisfiable
% 32.93/8.62 |-Branch two:
% 32.93/8.62 | (410) ~ (all_0_108_108 = e23)
% 32.93/8.62 | (424) all_0_108_108 = e22 | all_0_108_108 = e21
% 32.93/8.62 |
% 32.93/8.62 +-Applying beta-rule and splitting (27), into two cases.
% 32.93/8.62 |-Branch one:
% 32.93/8.62 | (425) all_0_107_107 = e23
% 32.93/8.62 |
% 32.93/8.62 | Equations (425) can reduce 418 to:
% 32.93/8.62 | (401) $false
% 32.93/8.62 |
% 32.93/8.62 |-The branch is then unsatisfiable
% 32.93/8.62 |-Branch two:
% 32.93/8.62 | (418) ~ (all_0_107_107 = e23)
% 32.93/8.62 | (428) all_0_107_107 = e21 | all_0_107_107 = e20
% 32.93/8.62 |
% 32.93/8.62 +-Applying beta-rule and splitting (302), into two cases.
% 32.93/8.62 |-Branch one:
% 32.93/8.62 | (429) all_0_102_102 = e23
% 32.93/8.62 |
% 32.93/8.62 | Equations (429) can reduce 376 to:
% 32.93/8.62 | (401) $false
% 32.93/8.62 |
% 32.93/8.62 |-The branch is then unsatisfiable
% 32.93/8.62 |-Branch two:
% 32.93/8.62 | (376) ~ (all_0_102_102 = e23)
% 32.93/8.62 | (432) all_0_102_102 = e22 | all_0_102_102 = e20
% 32.93/8.62 |
% 32.93/8.62 +-Applying beta-rule and splitting (168), into two cases.
% 32.93/8.62 |-Branch one:
% 32.93/8.62 | (400) all_0_99_99 = e23
% 32.93/8.62 |
% 32.93/8.62 | Equations (400) can reduce 399 to:
% 32.93/8.62 | (401) $false
% 32.93/8.62 |
% 32.93/8.62 |-The branch is then unsatisfiable
% 32.93/8.62 |-Branch two:
% 32.93/8.62 | (399) ~ (all_0_99_99 = e23)
% 32.93/8.62 | (436) all_0_99_99 = e21 | all_0_99_99 = e20
% 32.93/8.62 |
% 32.93/8.62 +-Applying beta-rule and splitting (326), into two cases.
% 32.93/8.62 |-Branch one:
% 32.93/8.62 | (437) all_0_106_106 = e23
% 32.93/8.62 |
% 32.93/8.62 | Equations (437) can reduce 377 to:
% 32.93/8.62 | (401) $false
% 32.93/8.62 |
% 32.93/8.62 |-The branch is then unsatisfiable
% 32.93/8.62 |-Branch two:
% 32.93/8.62 | (377) ~ (all_0_106_106 = e23)
% 32.93/8.62 | (440) all_0_106_106 = e22 | all_0_106_106 = e20
% 32.93/8.62 |
% 32.93/8.62 +-Applying beta-rule and splitting (124), into two cases.
% 32.93/8.62 |-Branch one:
% 32.93/8.62 | (441) all_0_100_100 = e22
% 32.93/8.62 |
% 32.93/8.62 | Combining equations (441,404) yields a new equation:
% 32.93/8.62 | (442) e23 = e22
% 32.93/8.62 |
% 32.93/8.62 | Equations (442) can reduce 108 to:
% 32.93/8.62 | (401) $false
% 32.93/8.62 |
% 32.93/8.62 |-The branch is then unsatisfiable
% 32.93/8.62 |-Branch two:
% 32.93/8.62 | (444) ~ (all_0_100_100 = e22)
% 32.93/8.62 | (445) all_0_101_101 = e22 | all_0_102_102 = e22
% 32.93/8.62 |
% 32.93/8.62 | Equations (404) can reduce 444 to:
% 32.93/8.62 | (108) ~ (e23 = e22)
% 32.93/8.62 |
% 32.93/8.62 +-Applying beta-rule and splitting (266), into two cases.
% 32.93/8.62 |-Branch one:
% 32.93/8.62 | (447) all_0_99_99 = e20
% 32.93/8.62 |
% 32.93/8.62 | Equations (447) can reduce 31 to:
% 32.93/8.62 | (448) ~ (all_0_102_102 = e20)
% 32.93/8.62 |
% 32.93/8.62 | Simplifying 448 yields:
% 32.93/8.62 | (449) ~ (all_0_102_102 = e20)
% 32.93/8.62 |
% 32.93/8.62 | Equations (447) can reduce 4 to:
% 32.93/8.63 | (450) ~ (all_0_107_107 = e20)
% 32.93/8.63 |
% 32.93/8.63 | Simplifying 450 yields:
% 32.93/8.63 | (451) ~ (all_0_107_107 = e20)
% 32.93/8.63 |
% 32.93/8.63 | Equations (447) can reduce 399 to:
% 32.93/8.63 | (452) ~ (e23 = e20)
% 32.93/8.63 |
% 32.93/8.63 | Simplifying 452 yields:
% 32.93/8.63 | (44) ~ (e23 = e20)
% 32.93/8.63 |
% 32.93/8.63 | From (447) and (150) follows:
% 32.93/8.63 | (454) op2(e20, all_0_93_93) = all_0_2_2
% 32.93/8.63 |
% 32.93/8.63 | From (447) and (40) follows:
% 32.93/8.63 | (455) op2(e20, all_0_94_94) = all_0_6_6
% 32.93/8.63 |
% 32.93/8.63 | From (447)(447) and (292) follows:
% 32.93/8.63 | (456) op2(e20, e20) = all_0_0_0
% 32.93/8.63 |
% 32.93/8.63 | From (447) and (344) follows:
% 32.93/8.63 | (457) op2(e20, e23) = all_0_4_4
% 32.93/8.63 |
% 32.93/8.63 | From (447) and (79) follows:
% 32.93/8.63 | (458) op2(e23, e20) = all_0_93_93
% 32.93/8.63 |
% 32.93/8.63 | From (447) and (209) follows:
% 32.93/8.63 | (459) op2(e23, e23) = e20
% 32.93/8.63 |
% 32.93/8.63 +-Applying beta-rule and splitting (67), into two cases.
% 32.93/8.63 |-Branch one:
% 32.93/8.63 | (460) all_0_107_107 = e20
% 32.93/8.63 |
% 32.93/8.63 | Equations (460) can reduce 451 to:
% 32.93/8.63 | (401) $false
% 32.93/8.63 |
% 32.93/8.63 |-The branch is then unsatisfiable
% 32.93/8.63 |-Branch two:
% 32.93/8.63 | (451) ~ (all_0_107_107 = e20)
% 32.93/8.63 | (463) all_0_109_109 = e20 | all_0_110_110 = e20
% 32.93/8.63 |
% 32.93/8.63 +-Applying beta-rule and splitting (463), into two cases.
% 32.93/8.63 |-Branch one:
% 32.93/8.63 | (464) all_0_109_109 = e20
% 32.93/8.63 |
% 32.93/8.63 | Equations (464) can reduce 317 to:
% 32.93/8.63 | (451) ~ (all_0_107_107 = e20)
% 32.93/8.63 |
% 32.93/8.63 | Equations (464) can reduce 331 to:
% 32.93/8.63 | (237) ~ (all_0_108_108 = e20)
% 32.93/8.63 |
% 32.93/8.63 | Equations (464) can reduce 314 to:
% 32.93/8.63 | (452) ~ (e23 = e20)
% 32.93/8.63 |
% 32.93/8.63 | Simplifying 452 yields:
% 32.93/8.63 | (44) ~ (e23 = e20)
% 32.93/8.63 |
% 32.93/8.63 | From (464) and (175) follows:
% 33.26/8.63 | (469) op2(e20, e21) = e20
% 33.26/8.63 |
% 33.26/8.63 +-Applying beta-rule and splitting (22), into two cases.
% 33.26/8.63 |-Branch one:
% 33.26/8.63 | (470) all_0_108_108 = e22
% 33.26/8.63 |
% 33.26/8.63 | Equations (470) can reduce 214 to:
% 33.26/8.63 | (471) ~ (all_0_104_104 = e22)
% 33.26/8.63 |
% 33.26/8.63 | Equations (470) can reduce 221 to:
% 33.26/8.63 | (195) ~ (all_0_107_107 = e22)
% 33.26/8.63 |
% 33.26/8.63 | Equations (470) can reduce 237 to:
% 33.26/8.63 | (304) ~ (e22 = e20)
% 33.26/8.63 |
% 33.26/8.63 | From (470) and (152) follows:
% 33.26/8.63 | (474) op2(e20, e22) = e22
% 33.26/8.63 |
% 33.26/8.63 +-Applying beta-rule and splitting (247), into two cases.
% 33.26/8.63 |-Branch one:
% 33.26/8.63 | (475) all_0_99_99 = e21
% 33.26/8.63 |
% 33.26/8.63 | Combining equations (447,475) yields a new equation:
% 33.26/8.63 | (476) e21 = e20
% 33.26/8.63 |
% 33.26/8.63 | Equations (476) can reduce 280 to:
% 33.26/8.63 | (401) $false
% 33.26/8.63 |
% 33.26/8.63 |-The branch is then unsatisfiable
% 33.26/8.63 |-Branch two:
% 33.26/8.63 | (478) ~ (all_0_99_99 = e21)
% 33.26/8.63 | (479) all_0_103_103 = e21 | all_0_107_107 = e21
% 33.26/8.63 |
% 33.26/8.63 +-Applying beta-rule and splitting (479), into two cases.
% 33.26/8.63 |-Branch one:
% 33.26/8.63 | (480) all_0_103_103 = e21
% 33.26/8.63 |
% 33.26/8.63 | Combining equations (413,480) yields a new equation:
% 33.26/8.63 | (481) e23 = e21
% 33.26/8.63 |
% 33.26/8.63 | Simplifying 481 yields:
% 33.26/8.63 | (482) e23 = e21
% 33.26/8.63 |
% 33.26/8.63 | Equations (482) can reduce 279 to:
% 33.26/8.63 | (401) $false
% 33.26/8.63 |
% 33.26/8.63 |-The branch is then unsatisfiable
% 33.26/8.63 |-Branch two:
% 33.26/8.63 | (484) ~ (all_0_103_103 = e21)
% 33.26/8.63 | (485) all_0_107_107 = e21
% 33.26/8.63 |
% 33.26/8.63 | Equations (485) can reduce 418 to:
% 33.26/8.63 | (486) ~ (e23 = e21)
% 33.26/8.63 |
% 33.26/8.63 | Simplifying 486 yields:
% 33.26/8.63 | (279) ~ (e23 = e21)
% 33.26/8.63 |
% 33.26/8.63 | Equations (485) can reduce 195 to:
% 33.26/8.63 | (488) ~ (e22 = e21)
% 33.26/8.63 |
% 33.26/8.63 | Simplifying 488 yields:
% 33.26/8.63 | (28) ~ (e22 = e21)
% 33.26/8.63 |
% 33.26/8.63 | From (485)(485) and (391) follows:
% 33.26/8.63 | (490) op2(e21, e21) = all_0_76_76
% 33.26/8.63 |
% 33.26/8.63 | From (485) and (392) follows:
% 33.26/8.63 | (491) op2(e21, e23) = all_0_74_74
% 33.26/8.63 |
% 33.26/8.63 | From (485) and (397) follows:
% 33.26/8.63 | (492) op2(e20, e21) = all_0_98_98
% 33.26/8.63 |
% 33.26/8.63 | From (485) and (120) follows:
% 33.26/8.63 | (493) op2(e20, e23) = e21
% 33.26/8.63 |
% 33.26/8.63 +-Applying beta-rule and splitting (283), into two cases.
% 33.26/8.63 |-Branch one:
% 33.26/8.63 | (494) all_0_100_100 = e21
% 33.26/8.63 |
% 33.26/8.63 | Combining equations (494,404) yields a new equation:
% 33.26/8.63 | (482) e23 = e21
% 33.26/8.63 |
% 33.26/8.63 | Equations (482) can reduce 279 to:
% 33.26/8.63 | (401) $false
% 33.26/8.63 |
% 33.26/8.63 |-The branch is then unsatisfiable
% 33.26/8.63 |-Branch two:
% 33.26/8.63 | (497) ~ (all_0_100_100 = e21)
% 33.26/8.63 | (498) all_0_104_104 = e21 | all_0_108_108 = e21
% 33.26/8.63 |
% 33.26/8.63 +-Applying beta-rule and splitting (498), into two cases.
% 33.26/8.63 |-Branch one:
% 33.26/8.63 | (499) all_0_104_104 = e21
% 33.26/8.63 |
% 33.26/8.63 | Equations (499) can reduce 54 to:
% 33.26/8.63 | (500) ~ (all_0_105_105 = e21)
% 33.26/8.63 |
% 33.26/8.63 | Simplifying 500 yields:
% 33.26/8.63 | (501) ~ (all_0_105_105 = e21)
% 33.26/8.63 |
% 33.26/8.63 | Equations (499) can reduce 130 to:
% 33.26/8.63 | (502) ~ (all_0_106_106 = e21)
% 33.26/8.63 |
% 33.26/8.63 | Simplifying 502 yields:
% 33.26/8.63 | (358) ~ (all_0_106_106 = e21)
% 33.26/8.63 |
% 33.26/8.63 | Equations (499) can reduce 471 to:
% 33.26/8.63 | (488) ~ (e22 = e21)
% 33.26/8.63 |
% 33.26/8.63 | Simplifying 488 yields:
% 33.26/8.63 | (28) ~ (e22 = e21)
% 33.26/8.63 |
% 33.26/8.63 | Equations (499) can reduce 161 to:
% 33.26/8.63 | (280) ~ (e21 = e20)
% 33.26/8.63 |
% 33.26/8.63 | From (499) and (212) follows:
% 33.26/8.63 | (507) op2(all_0_95_95, e21) = all_0_35_35
% 33.26/8.63 |
% 33.26/8.63 | From (499) and (349) follows:
% 33.26/8.63 | (508) op2(all_0_96_96, e21) = all_0_46_46
% 33.26/8.63 |
% 33.26/8.63 | From (499) and (42) follows:
% 33.26/8.63 | (509) op2(e21, all_0_95_95) = all_0_29_29
% 33.26/8.63 |
% 33.26/8.63 | From (499) and (181) follows:
% 33.26/8.63 | (510) op2(e21, all_0_96_96) = all_0_33_33
% 33.26/8.63 |
% 33.26/8.63 | From (499)(499) and (35) follows:
% 33.26/8.63 | (511) op2(e21, e21) = all_0_27_27
% 33.26/8.63 |
% 33.26/8.63 | From (499) and (86) follows:
% 33.26/8.63 | (512) op2(e21, e22) = all_0_31_31
% 33.26/8.63 |
% 33.26/8.63 | From (499) and (188) follows:
% 33.26/8.63 | (513) op2(e22, e21) = all_0_95_95
% 33.26/8.63 |
% 33.26/8.63 | From (499) and (16) follows:
% 33.26/8.63 | (514) op2(e22, e22) = e21
% 33.26/8.63 |
% 33.26/8.63 +-Applying beta-rule and splitting (354), into two cases.
% 33.26/8.63 |-Branch one:
% 33.26/8.63 | (515) all_0_102_102 = e20
% 33.26/8.63 |
% 33.26/8.63 | Equations (515) can reduce 449 to:
% 33.26/8.63 | (401) $false
% 33.26/8.63 |
% 33.26/8.63 |-The branch is then unsatisfiable
% 33.26/8.63 |-Branch two:
% 33.26/8.63 | (449) ~ (all_0_102_102 = e20)
% 33.26/8.63 | (518) all_0_106_106 = e20 | all_0_110_110 = e20
% 33.26/8.63 |
% 33.26/8.63 +-Applying beta-rule and splitting (242), into two cases.
% 33.26/8.63 |-Branch one:
% 33.26/8.63 | (519) all_0_103_103 = e20
% 33.26/8.63 |
% 33.26/8.63 | Combining equations (413,519) yields a new equation:
% 33.26/8.63 | (520) e23 = e20
% 33.26/8.63 |
% 33.26/8.63 | Simplifying 520 yields:
% 33.26/8.63 | (521) e23 = e20
% 33.26/8.63 |
% 33.26/8.63 | Equations (521) can reduce 44 to:
% 33.26/8.63 | (401) $false
% 33.26/8.63 |
% 33.26/8.63 |-The branch is then unsatisfiable
% 33.26/8.63 |-Branch two:
% 33.26/8.63 | (523) ~ (all_0_103_103 = e20)
% 33.26/8.63 | (524) all_0_105_105 = e20 | all_0_106_106 = e20
% 33.26/8.63 |
% 33.26/8.63 | Equations (413) can reduce 523 to:
% 33.26/8.63 | (44) ~ (e23 = e20)
% 33.26/8.63 |
% 33.26/8.63 +-Applying beta-rule and splitting (137), into two cases.
% 33.26/8.63 |-Branch one:
% 33.26/8.63 | (526) all_0_101_101 = e21
% 33.26/8.63 |
% 33.26/8.63 | Equations (526) can reduce 178 to:
% 33.26/8.63 | (500) ~ (all_0_105_105 = e21)
% 33.26/8.63 |
% 33.26/8.63 | Simplifying 500 yields:
% 33.26/8.63 | (501) ~ (all_0_105_105 = e21)
% 33.26/8.63 |
% 33.26/8.63 +-Applying beta-rule and splitting (518), into two cases.
% 33.26/8.63 |-Branch one:
% 33.26/8.63 | (529) all_0_106_106 = e20
% 33.26/8.63 |
% 33.26/8.63 | Equations (529) can reduce 358 to:
% 33.26/8.63 | (530) ~ (e21 = e20)
% 33.26/8.63 |
% 33.26/8.63 | Simplifying 530 yields:
% 33.26/8.63 | (280) ~ (e21 = e20)
% 33.26/8.63 |
% 33.26/8.63 +-Applying beta-rule and splitting (12), into two cases.
% 33.26/8.63 |-Branch one:
% 33.26/8.63 | (532) all_0_104_104 = e22
% 33.26/8.63 |
% 33.26/8.63 | Combining equations (499,532) yields a new equation:
% 33.26/8.63 | (533) e22 = e21
% 33.26/8.63 |
% 33.26/8.63 | Equations (533) can reduce 28 to:
% 33.26/8.63 | (401) $false
% 33.26/8.63 |
% 33.26/8.63 |-The branch is then unsatisfiable
% 33.26/8.63 |-Branch two:
% 33.26/8.63 | (471) ~ (all_0_104_104 = e22)
% 33.26/8.63 | (536) all_0_105_105 = e22 | all_0_106_106 = e22
% 33.26/8.63 |
% 33.26/8.63 +-Applying beta-rule and splitting (536), into two cases.
% 33.26/8.63 |-Branch one:
% 33.26/8.63 | (537) all_0_105_105 = e22
% 33.26/8.63 |
% 33.26/8.63 | Equations (537) can reduce 501 to:
% 33.26/8.63 | (28) ~ (e22 = e21)
% 33.26/8.63 |
% 33.26/8.63 | From (537) and (61) follows:
% 33.26/8.63 | (539) op2(e22, e21) = e22
% 33.26/8.63 |
% 33.26/8.63 +-Applying beta-rule and splitting (445), into two cases.
% 33.26/8.63 |-Branch one:
% 33.26/8.63 | (540) all_0_101_101 = e22
% 33.26/8.63 |
% 33.26/8.63 | Combining equations (526,540) yields a new equation:
% 33.26/8.63 | (533) e22 = e21
% 33.26/8.63 |
% 33.26/8.63 | Equations (533) can reduce 28 to:
% 33.26/8.63 | (401) $false
% 33.26/8.63 |
% 33.26/8.63 |-The branch is then unsatisfiable
% 33.26/8.63 |-Branch two:
% 33.26/8.63 | (543) ~ (all_0_101_101 = e22)
% 33.26/8.63 | (544) all_0_102_102 = e22
% 33.26/8.63 |
% 33.26/8.63 | From (544) and (199) follows:
% 33.26/8.63 | (545) op2(e23, e20) = e22
% 33.26/8.63 |
% 33.26/8.63 | Instantiating formula (312) with e23, e20, e22, all_0_93_93 and discharging atoms op2(e23, e20) = all_0_93_93, op2(e23, e20) = e22, yields:
% 33.26/8.63 | (546) all_0_93_93 = e22
% 33.26/8.63 |
% 33.26/8.63 | Instantiating formula (312) with e22, e21, e22, all_0_95_95 and discharging atoms op2(e22, e21) = all_0_95_95, op2(e22, e21) = e22, yields:
% 33.26/8.63 | (547) all_0_95_95 = e22
% 33.26/8.63 |
% 33.26/8.63 | Instantiating formula (312) with e21, e23, all_0_74_74, e22 and discharging atoms op2(e21, e23) = all_0_74_74, op2(e21, e23) = e22, yields:
% 33.26/8.63 | (548) all_0_74_74 = e22
% 33.26/8.63 |
% 33.26/8.63 | Instantiating formula (312) with e21, e22, all_0_31_31, e20 and discharging atoms op2(e21, e22) = all_0_31_31, op2(e21, e22) = e20, yields:
% 33.26/8.63 | (549) all_0_31_31 = e20
% 33.26/8.63 |
% 33.26/8.63 | Instantiating formula (312) with e21, e21, all_0_27_27, e23 and discharging atoms op2(e21, e21) = all_0_27_27, op2(e21, e21) = e23, yields:
% 33.26/8.63 | (550) all_0_27_27 = e23
% 33.26/8.63 |
% 33.26/8.63 | Instantiating formula (312) with e21, e21, all_0_76_76, all_0_27_27 and discharging atoms op2(e21, e21) = all_0_27_27, op2(e21, e21) = all_0_76_76, yields:
% 33.26/8.63 | (551) all_0_27_27 = all_0_76_76
% 33.26/8.63 |
% 33.26/8.63 | Instantiating formula (312) with e20, e23, e21, all_0_4_4 and discharging atoms op2(e20, e23) = all_0_4_4, op2(e20, e23) = e21, yields:
% 33.26/8.63 | (552) all_0_4_4 = e21
% 33.26/8.63 |
% 33.26/8.63 | Instantiating formula (312) with e20, e21, e20, all_0_98_98 and discharging atoms op2(e20, e21) = all_0_98_98, op2(e20, e21) = e20, yields:
% 33.26/8.63 | (553) all_0_98_98 = e20
% 33.26/8.64 |
% 33.26/8.64 | Instantiating formula (312) with e20, e20, all_0_0_0, e23 and discharging atoms op2(e20, e20) = all_0_0_0, op2(e20, e20) = e23, yields:
% 33.26/8.64 | (554) all_0_0_0 = e23
% 33.26/8.64 |
% 33.26/8.64 | Combining equations (550,551) yields a new equation:
% 33.26/8.64 | (555) all_0_76_76 = e23
% 33.26/8.64 |
% 33.26/8.64 | From (546)(546) and (103) follows:
% 33.26/8.64 | (556) op2(e22, e22) = all_0_10_10
% 33.26/8.64 |
% 33.26/8.64 | From (546) and (201) follows:
% 33.26/8.64 | (557) op2(e22, all_0_94_94) = all_0_14_14
% 33.26/8.64 |
% 33.26/8.64 | From (546) and (81) follows:
% 33.26/8.64 | (558) op2(e22, e23) = all_0_12_12
% 33.26/8.64 |
% 33.26/8.64 | From (547)(547) and (213) follows:
% 33.26/8.64 | (559) op2(e22, e22) = all_0_37_37
% 33.26/8.64 |
% 33.26/8.64 | From (547) and (332) follows:
% 33.26/8.64 | (560) op2(e22, e22) = all_0_39_39
% 33.26/8.64 |
% 33.26/8.64 | From (547) and (507) follows:
% 33.26/8.64 | (561) op2(e22, e21) = all_0_35_35
% 33.26/8.64 |
% 33.26/8.64 | From (553)(553) and (263) follows:
% 33.26/8.64 | (562) op2(e20, e20) = all_0_91_91
% 33.26/8.64 |
% 33.26/8.64 | From (553) and (381) follows:
% 33.26/8.64 | (563) op2(e20, e23) = all_0_85_85
% 33.26/8.64 |
% 33.26/8.64 | From (553) and (162) follows:
% 33.26/8.64 | (564) op2(e20, e20) = all_0_89_89
% 33.26/8.64 |
% 33.26/8.64 | From (546) and (190) follows:
% 33.26/8.64 | (565) op2(e23, e22) = all_0_94_94
% 33.26/8.64 |
% 33.26/8.64 | From (547) and (121) follows:
% 33.26/8.64 | (566) op2(e22, e22) = all_0_96_96
% 33.26/8.64 |
% 33.26/8.64 | From (547) and (513) follows:
% 33.26/8.64 | (539) op2(e22, e21) = e22
% 33.26/8.64 |
% 33.26/8.64 | From (547) and (509) follows:
% 33.26/8.64 | (568) op2(e21, e22) = all_0_29_29
% 33.26/8.64 |
% 33.26/8.64 | From (548) and (491) follows:
% 33.26/8.64 | (89) op2(e21, e23) = e22
% 33.26/8.64 |
% 33.26/8.64 | From (549) and (512) follows:
% 33.26/8.64 | (151) op2(e21, e22) = e20
% 33.26/8.64 |
% 33.26/8.64 | From (555) and (490) follows:
% 33.26/8.64 | (224) op2(e21, e21) = e23
% 33.26/8.64 |
% 33.26/8.64 | From (546) and (454) follows:
% 33.26/8.64 | (572) op2(e20, e22) = all_0_2_2
% 33.26/8.64 |
% 33.26/8.64 | From (553) and (128) follows:
% 33.26/8.64 | (573) op2(e20, e20) = all_0_84_84
% 33.26/8.64 |
% 33.26/8.64 | From (552) and (457) follows:
% 33.26/8.64 | (493) op2(e20, e23) = e21
% 33.26/8.64 |
% 33.26/8.64 | From (554) and (456) follows:
% 33.26/8.64 | (387) op2(e20, e20) = e23
% 33.26/8.64 |
% 33.26/8.64 | Instantiating formula (312) with e23, e22, all_0_94_94, e23 and discharging atoms op2(e23, e22) = all_0_94_94, op2(e23, e22) = e23, yields:
% 33.26/8.64 | (576) all_0_94_94 = e23
% 33.26/8.64 |
% 33.26/8.64 | Instantiating formula (312) with e22, e23, all_0_12_12, e23 and discharging atoms op2(e22, e23) = all_0_12_12, op2(e22, e23) = e23, yields:
% 33.26/8.64 | (577) all_0_12_12 = e23
% 33.26/8.64 |
% 33.26/8.64 | Instantiating formula (312) with e22, e22, all_0_37_37, e21 and discharging atoms op2(e22, e22) = all_0_37_37, op2(e22, e22) = e21, yields:
% 33.26/8.64 | (578) all_0_37_37 = e21
% 33.26/8.64 |
% 33.26/8.64 | Instantiating formula (312) with e22, e22, all_0_37_37, all_0_10_10 and discharging atoms op2(e22, e22) = all_0_10_10, op2(e22, e22) = all_0_37_37, yields:
% 33.26/8.64 | (579) all_0_10_10 = all_0_37_37
% 33.26/8.64 |
% 33.26/8.64 | Instantiating formula (312) with e22, e22, all_0_39_39, all_0_10_10 and discharging atoms op2(e22, e22) = all_0_10_10, op2(e22, e22) = all_0_39_39, yields:
% 33.26/8.64 | (580) all_0_10_10 = all_0_39_39
% 33.26/8.64 |
% 33.26/8.64 | Instantiating formula (312) with e22, e22, all_0_96_96, all_0_37_37 and discharging atoms op2(e22, e22) = all_0_37_37, op2(e22, e22) = all_0_96_96, yields:
% 33.26/8.64 | (581) all_0_37_37 = all_0_96_96
% 33.26/8.64 |
% 33.26/8.64 | Instantiating formula (312) with e22, e21, all_0_35_35, e22 and discharging atoms op2(e22, e21) = all_0_35_35, op2(e22, e21) = e22, yields:
% 33.26/8.64 | (582) all_0_35_35 = e22
% 33.26/8.64 |
% 33.26/8.64 | Instantiating formula (312) with e21, e22, all_0_29_29, e20 and discharging atoms op2(e21, e22) = all_0_29_29, op2(e21, e22) = e20, yields:
% 33.26/8.64 | (583) all_0_29_29 = e20
% 33.26/8.64 |
% 33.26/8.64 | Instantiating formula (312) with e20, e23, all_0_85_85, e21 and discharging atoms op2(e20, e23) = all_0_85_85, op2(e20, e23) = e21, yields:
% 33.26/8.64 | (584) all_0_85_85 = e21
% 33.26/8.64 |
% 33.26/8.64 | Instantiating formula (312) with e20, e22, all_0_2_2, e22 and discharging atoms op2(e20, e22) = all_0_2_2, op2(e20, e22) = e22, yields:
% 33.26/8.64 | (585) all_0_2_2 = e22
% 33.26/8.64 |
% 33.26/8.64 | Instantiating formula (312) with e20, e20, all_0_89_89, e23 and discharging atoms op2(e20, e20) = all_0_89_89, op2(e20, e20) = e23, yields:
% 33.26/8.64 | (586) all_0_89_89 = e23
% 33.26/8.64 |
% 33.26/8.64 | Instantiating formula (312) with e20, e20, all_0_89_89, all_0_84_84 and discharging atoms op2(e20, e20) = all_0_84_84, op2(e20, e20) = all_0_89_89, yields:
% 33.26/8.64 | (587) all_0_84_84 = all_0_89_89
% 33.26/8.64 |
% 33.26/8.64 | Instantiating formula (312) with e20, e20, all_0_91_91, all_0_84_84 and discharging atoms op2(e20, e20) = all_0_84_84, op2(e20, e20) = all_0_91_91, yields:
% 33.26/8.64 | (588) all_0_84_84 = all_0_91_91
% 33.26/8.64 |
% 33.26/8.64 | Combining equations (579,580) yields a new equation:
% 33.26/8.64 | (589) all_0_37_37 = all_0_39_39
% 33.26/8.64 |
% 33.26/8.64 | Simplifying 589 yields:
% 33.26/8.64 | (590) all_0_37_37 = all_0_39_39
% 33.26/8.64 |
% 33.26/8.64 | Combining equations (581,590) yields a new equation:
% 33.26/8.64 | (591) all_0_39_39 = all_0_96_96
% 33.26/8.64 |
% 33.26/8.64 | Combining equations (578,590) yields a new equation:
% 33.26/8.64 | (592) all_0_39_39 = e21
% 33.26/8.64 |
% 33.26/8.64 | Combining equations (592,591) yields a new equation:
% 33.26/8.64 | (593) all_0_96_96 = e21
% 33.26/8.64 |
% 33.26/8.64 | Combining equations (587,588) yields a new equation:
% 33.26/8.64 | (594) all_0_89_89 = all_0_91_91
% 33.26/8.64 |
% 33.26/8.64 | Simplifying 594 yields:
% 33.26/8.64 | (595) all_0_89_89 = all_0_91_91
% 33.26/8.64 |
% 33.26/8.64 | Combining equations (586,595) yields a new equation:
% 33.26/8.64 | (596) all_0_91_91 = e23
% 33.26/8.64 |
% 33.26/8.64 | From (576)(576) and (323) follows:
% 33.26/8.64 | (597) op2(e23, e23) = all_0_25_25
% 33.26/8.64 |
% 33.26/8.64 | From (576) and (338) follows:
% 33.26/8.64 | (598) op2(e23, e23) = all_0_23_23
% 33.26/8.64 |
% 33.26/8.64 | From (593)(593) and (197) follows:
% 33.26/8.64 | (599) op2(e21, e21) = all_0_52_52
% 33.26/8.64 |
% 33.26/8.64 | From (593) and (141) follows:
% 33.26/8.64 | (600) op2(e21, e22) = all_0_50_50
% 33.26/8.64 |
% 33.26/8.64 | From (593) and (508) follows:
% 33.26/8.64 | (601) op2(e21, e21) = all_0_46_46
% 33.26/8.64 |
% 33.26/8.64 | From (576) and (287) follows:
% 33.26/8.64 | (602) op2(e23, e23) = all_0_18_18
% 33.26/8.64 |
% 33.26/8.64 | From (576) and (557) follows:
% 33.26/8.64 | (603) op2(e22, e23) = all_0_14_14
% 33.26/8.64 |
% 33.26/8.64 | From (593) and (113) follows:
% 33.26/8.64 | (604) op2(e22, e21) = all_0_45_45
% 33.26/8.64 |
% 33.26/8.64 | From (577) and (558) follows:
% 33.26/8.64 | (420) op2(e22, e23) = e23
% 33.26/8.64 |
% 33.26/8.64 | From (582) and (561) follows:
% 33.26/8.64 | (539) op2(e22, e21) = e22
% 33.26/8.64 |
% 33.26/8.64 | From (593) and (510) follows:
% 33.26/8.64 | (607) op2(e21, e21) = all_0_33_33
% 33.26/8.64 |
% 33.26/8.64 | From (583) and (568) follows:
% 33.26/8.64 | (151) op2(e21, e22) = e20
% 33.26/8.64 |
% 33.26/8.64 | From (576) and (455) follows:
% 33.26/8.64 | (609) op2(e20, e23) = all_0_6_6
% 33.26/8.64 |
% 33.26/8.64 | From (584) and (563) follows:
% 33.26/8.64 | (493) op2(e20, e23) = e21
% 33.26/8.64 |
% 33.26/8.64 | From (585) and (572) follows:
% 33.26/8.64 | (474) op2(e20, e22) = e22
% 33.26/8.64 |
% 33.26/8.64 | From (596) and (562) follows:
% 33.26/8.64 | (387) op2(e20, e20) = e23
% 33.26/8.64 |
% 33.26/8.64 | Instantiating formula (312) with e23, e23, all_0_23_23, e20 and discharging atoms op2(e23, e23) = all_0_23_23, op2(e23, e23) = e20, yields:
% 33.26/8.64 | (613) all_0_23_23 = e20
% 33.26/8.64 |
% 33.26/8.64 | Instantiating formula (312) with e23, e23, all_0_23_23, all_0_18_18 and discharging atoms op2(e23, e23) = all_0_18_18, op2(e23, e23) = all_0_23_23, yields:
% 33.26/8.64 | (614) all_0_18_18 = all_0_23_23
% 33.26/8.64 |
% 33.26/8.64 | Instantiating formula (312) with e23, e23, all_0_25_25, all_0_18_18 and discharging atoms op2(e23, e23) = all_0_18_18, op2(e23, e23) = all_0_25_25, yields:
% 33.26/8.64 | (615) all_0_18_18 = all_0_25_25
% 33.26/8.64 |
% 33.26/8.64 | Instantiating formula (312) with e22, e23, all_0_14_14, e23 and discharging atoms op2(e22, e23) = all_0_14_14, op2(e22, e23) = e23, yields:
% 33.26/8.64 | (616) all_0_14_14 = e23
% 33.26/8.64 |
% 33.26/8.64 | Instantiating formula (312) with e22, e21, all_0_45_45, e22 and discharging atoms op2(e22, e21) = all_0_45_45, op2(e22, e21) = e22, yields:
% 33.26/8.64 | (617) all_0_45_45 = e22
% 33.26/8.64 |
% 33.26/8.64 | Instantiating formula (312) with e21, e22, all_0_50_50, e20 and discharging atoms op2(e21, e22) = all_0_50_50, op2(e21, e22) = e20, yields:
% 33.26/8.64 | (618) all_0_50_50 = e20
% 33.26/8.64 |
% 33.26/8.64 | Instantiating formula (312) with e21, e21, all_0_46_46, e23 and discharging atoms op2(e21, e21) = all_0_46_46, op2(e21, e21) = e23, yields:
% 33.26/8.64 | (619) all_0_46_46 = e23
% 33.26/8.64 |
% 33.26/8.64 | Instantiating formula (312) with e21, e21, all_0_46_46, all_0_33_33 and discharging atoms op2(e21, e21) = all_0_33_33, op2(e21, e21) = all_0_46_46, yields:
% 33.26/8.64 | (620) all_0_33_33 = all_0_46_46
% 33.26/8.64 |
% 33.26/8.64 | Instantiating formula (312) with e21, e21, all_0_52_52, all_0_33_33 and discharging atoms op2(e21, e21) = all_0_33_33, op2(e21, e21) = all_0_52_52, yields:
% 33.26/8.64 | (621) all_0_33_33 = all_0_52_52
% 33.26/8.64 |
% 33.26/8.64 | Instantiating formula (312) with e20, e23, all_0_6_6, e21 and discharging atoms op2(e20, e23) = all_0_6_6, op2(e20, e23) = e21, yields:
% 33.26/8.64 | (622) all_0_6_6 = e21
% 33.26/8.64 |
% 33.26/8.64 | Combining equations (614,615) yields a new equation:
% 33.26/8.64 | (623) all_0_23_23 = all_0_25_25
% 33.26/8.64 |
% 33.26/8.64 | Simplifying 623 yields:
% 33.26/8.64 | (624) all_0_23_23 = all_0_25_25
% 33.26/8.64 |
% 33.26/8.64 | Combining equations (624,613) yields a new equation:
% 33.26/8.64 | (625) all_0_25_25 = e20
% 33.26/8.64 |
% 33.26/8.64 | Simplifying 625 yields:
% 33.26/8.64 | (626) all_0_25_25 = e20
% 33.26/8.64 |
% 33.26/8.64 | Combining equations (620,621) yields a new equation:
% 33.26/8.64 | (627) all_0_46_46 = all_0_52_52
% 33.26/8.65 |
% 33.26/8.65 | Simplifying 627 yields:
% 33.26/8.65 | (628) all_0_46_46 = all_0_52_52
% 33.26/8.65 |
% 33.26/8.65 | Combining equations (628,619) yields a new equation:
% 33.26/8.65 | (629) all_0_52_52 = e23
% 33.26/8.65 |
% 33.26/8.65 | Simplifying 629 yields:
% 33.26/8.65 | (630) all_0_52_52 = e23
% 33.26/8.65 |
% 33.26/8.65 | From (626) and (597) follows:
% 33.26/8.65 | (459) op2(e23, e23) = e20
% 33.26/8.65 |
% 33.26/8.65 | From (616) and (603) follows:
% 33.26/8.65 | (420) op2(e22, e23) = e23
% 33.26/8.65 |
% 33.26/8.65 | From (617) and (604) follows:
% 33.26/8.65 | (539) op2(e22, e21) = e22
% 33.26/8.65 |
% 33.26/8.65 | From (618) and (600) follows:
% 33.26/8.65 | (151) op2(e21, e22) = e20
% 33.26/8.65 |
% 33.26/8.65 | From (630) and (599) follows:
% 33.26/8.65 | (224) op2(e21, e21) = e23
% 33.26/8.65 |
% 33.26/8.65 | From (622) and (609) follows:
% 33.26/8.65 | (493) op2(e20, e23) = e21
% 33.26/8.65 |
% 33.26/8.65 +-Applying beta-rule and splitting (277), into two cases.
% 33.26/8.65 |-Branch one:
% 33.26/8.65 | (637) unit2 = e23
% 33.26/8.65 |
% 33.26/8.65 | From (637) and (38) follows:
% 33.26/8.65 | (638) op2(e23, e23) = e23
% 33.26/8.65 |
% 33.26/8.65 | From (637) and (334) follows:
% 33.26/8.65 | (639) op2(e22, e23) = e22
% 33.26/8.65 |
% 33.26/8.65 | From (637) and (105) follows:
% 33.26/8.65 | (640) op2(e21, e23) = e21
% 33.26/8.65 |
% 33.26/8.65 | Instantiating formula (312) with e23, e23, e23, e20 and discharging atoms op2(e23, e23) = e23, op2(e23, e23) = e20, yields:
% 33.26/8.65 | (521) e23 = e20
% 33.26/8.65 |
% 33.26/8.65 | Instantiating formula (312) with e22, e23, e22, e23 and discharging atoms op2(e22, e23) = e23, op2(e22, e23) = e22, yields:
% 33.26/8.65 | (442) e23 = e22
% 33.26/8.65 |
% 33.26/8.65 | Instantiating formula (312) with e21, e23, e21, e22 and discharging atoms op2(e21, e23) = e22, op2(e21, e23) = e21, yields:
% 33.26/8.65 | (533) e22 = e21
% 33.26/8.65 |
% 33.26/8.65 | Combining equations (442,521) yields a new equation:
% 33.26/8.65 | (644) e22 = e20
% 33.26/8.65 |
% 33.26/8.65 | Simplifying 644 yields:
% 33.26/8.65 | (645) e22 = e20
% 33.26/8.65 |
% 33.26/8.65 | Combining equations (533,645) yields a new equation:
% 33.26/8.65 | (646) e21 = e20
% 33.26/8.65 |
% 33.26/8.65 | Simplifying 646 yields:
% 33.26/8.65 | (476) e21 = e20
% 33.26/8.65 |
% 33.26/8.65 | Equations (476) can reduce 280 to:
% 33.26/8.65 | (401) $false
% 33.26/8.65 |
% 33.26/8.65 |-The branch is then unsatisfiable
% 33.26/8.65 |-Branch two:
% 33.26/8.65 | (649) ~ (unit2 = e23)
% 33.26/8.65 | (650) unit2 = e22 | unit2 = e21 | unit2 = e20
% 33.26/8.65 |
% 33.26/8.65 +-Applying beta-rule and splitting (650), into two cases.
% 33.26/8.65 |-Branch one:
% 33.26/8.65 | (651) unit2 = e22
% 33.26/8.65 |
% 33.26/8.65 | From (651) and (171) follows:
% 33.26/8.65 | (652) op2(e22, e21) = e21
% 33.26/8.65 |
% 33.26/8.65 | From (651) and (202) follows:
% 33.26/8.65 | (653) op2(e20, e22) = e20
% 33.26/8.65 |
% 33.26/8.65 | Instantiating formula (312) with e22, e21, e21, e22 and discharging atoms op2(e22, e21) = e22, op2(e22, e21) = e21, yields:
% 33.26/8.65 | (533) e22 = e21
% 33.26/8.65 |
% 33.26/8.65 | Instantiating formula (312) with e20, e22, e20, e22 and discharging atoms op2(e20, e22) = e22, op2(e20, e22) = e20, yields:
% 33.26/8.65 | (645) e22 = e20
% 33.26/8.65 |
% 33.26/8.65 | Combining equations (645,533) yields a new equation:
% 33.26/8.65 | (476) e21 = e20
% 33.26/8.65 |
% 33.26/8.65 | Equations (476) can reduce 280 to:
% 33.26/8.65 | (401) $false
% 33.26/8.65 |
% 33.26/8.65 |-The branch is then unsatisfiable
% 33.26/8.65 |-Branch two:
% 33.26/8.65 | (658) ~ (unit2 = e22)
% 33.26/8.65 | (659) unit2 = e21 | unit2 = e20
% 33.26/8.65 |
% 33.26/8.65 +-Applying beta-rule and splitting (659), into two cases.
% 33.26/8.65 |-Branch one:
% 33.26/8.65 | (660) unit2 = e20
% 33.26/8.65 |
% 33.26/8.65 | From (660) and (299) follows:
% 33.26/8.65 | (661) op2(e20, e23) = e23
% 33.26/8.65 |
% 33.26/8.65 | From (660) and (202) follows:
% 33.26/8.65 | (662) op2(e20, e20) = e20
% 33.26/8.65 |
% 33.26/8.65 | Instantiating formula (312) with e20, e23, e23, e21 and discharging atoms op2(e20, e23) = e23, op2(e20, e23) = e21, yields:
% 33.26/8.65 | (482) e23 = e21
% 33.26/8.65 |
% 33.26/8.65 | Instantiating formula (312) with e20, e20, e20, e23 and discharging atoms op2(e20, e20) = e23, op2(e20, e20) = e20, yields:
% 33.26/8.65 | (521) e23 = e20
% 33.26/8.65 |
% 33.26/8.65 | Combining equations (482,521) yields a new equation:
% 33.26/8.65 | (646) e21 = e20
% 33.26/8.65 |
% 33.26/8.65 | Simplifying 646 yields:
% 33.26/8.65 | (476) e21 = e20
% 33.26/8.65 |
% 33.26/8.65 | Equations (476) can reduce 280 to:
% 33.26/8.65 | (401) $false
% 33.26/8.65 |
% 33.26/8.65 |-The branch is then unsatisfiable
% 33.26/8.65 |-Branch two:
% 33.26/8.65 | (668) ~ (unit2 = e20)
% 33.26/8.65 | (669) unit2 = e21
% 33.26/8.65 |
% 33.26/8.65 | Equations (669) can reduce 668 to:
% 33.26/8.65 | (280) ~ (e21 = e20)
% 33.26/8.65 |
% 33.26/8.65 | From (669) and (299) follows:
% 33.26/8.65 | (671) op2(e21, e23) = e23
% 33.26/8.65 |
% 33.26/8.65 | From (669) and (23) follows:
% 33.26/8.65 | (672) op2(e21, e22) = e22
% 33.26/8.65 |
% 33.26/8.65 | From (669) and (105) follows:
% 33.26/8.65 | (673) op2(e21, e21) = e21
% 33.26/8.65 |
% 33.26/8.65 | Instantiating formula (312) with e21, e23, e23, e22 and discharging atoms op2(e21, e23) = e23, op2(e21, e23) = e22, yields:
% 33.26/8.65 | (442) e23 = e22
% 33.26/8.65 |
% 33.26/8.65 | Instantiating formula (312) with e21, e22, e22, e20 and discharging atoms op2(e21, e22) = e22, op2(e21, e22) = e20, yields:
% 33.26/8.65 | (645) e22 = e20
% 33.26/8.65 |
% 33.26/8.65 | Instantiating formula (312) with e21, e21, e21, e23 and discharging atoms op2(e21, e21) = e23, op2(e21, e21) = e21, yields:
% 33.26/8.65 | (482) e23 = e21
% 33.26/8.65 |
% 33.26/8.65 | Combining equations (442,482) yields a new equation:
% 33.26/8.65 | (677) e22 = e21
% 33.26/8.65 |
% 33.26/8.65 | Simplifying 677 yields:
% 33.26/8.65 | (533) e22 = e21
% 33.26/8.65 |
% 33.26/8.65 | Combining equations (533,645) yields a new equation:
% 33.26/8.65 | (646) e21 = e20
% 33.26/8.65 |
% 33.26/8.65 | Simplifying 646 yields:
% 33.26/8.65 | (476) e21 = e20
% 33.26/8.65 |
% 33.26/8.65 | Equations (476) can reduce 280 to:
% 33.26/8.65 | (401) $false
% 33.26/8.65 |
% 33.26/8.65 |-The branch is then unsatisfiable
% 33.26/8.65 |-Branch two:
% 33.26/8.65 | (682) ~ (all_0_105_105 = e22)
% 33.26/8.65 | (683) all_0_106_106 = e22
% 33.26/8.65 |
% 33.26/8.65 | Combining equations (529,683) yields a new equation:
% 33.26/8.65 | (645) e22 = e20
% 33.26/8.65 |
% 33.26/8.65 | Equations (645) can reduce 304 to:
% 33.26/8.65 | (401) $false
% 33.26/8.65 |
% 33.26/8.65 |-The branch is then unsatisfiable
% 33.26/8.65 |-Branch two:
% 33.26/8.65 | (686) ~ (all_0_106_106 = e20)
% 33.26/8.65 | (687) all_0_110_110 = e20
% 33.26/8.65 |
% 33.26/8.65 | Combining equations (687,375) yields a new equation:
% 33.26/8.65 | (521) e23 = e20
% 33.26/8.65 |
% 33.26/8.65 | Equations (521) can reduce 44 to:
% 33.26/8.65 | (401) $false
% 33.26/8.65 |
% 33.26/8.65 |-The branch is then unsatisfiable
% 33.26/8.65 |-Branch two:
% 33.26/8.65 | (690) ~ (all_0_101_101 = e21)
% 33.26/8.65 | (691) all_0_105_105 = e21 | all_0_109_109 = e21
% 33.26/8.65 |
% 33.26/8.65 +-Applying beta-rule and splitting (691), into two cases.
% 33.26/8.65 |-Branch one:
% 33.26/8.65 | (692) all_0_105_105 = e21
% 33.26/8.65 |
% 33.26/8.65 | Equations (692) can reduce 501 to:
% 33.26/8.65 | (401) $false
% 33.26/8.65 |
% 33.26/8.65 |-The branch is then unsatisfiable
% 33.26/8.65 |-Branch two:
% 33.26/8.65 | (501) ~ (all_0_105_105 = e21)
% 33.26/8.65 | (695) all_0_109_109 = e21
% 33.26/8.65 |
% 33.26/8.65 | Combining equations (464,695) yields a new equation:
% 33.26/8.65 | (476) e21 = e20
% 33.26/8.65 |
% 33.26/8.65 | Equations (476) can reduce 280 to:
% 33.26/8.65 | (401) $false
% 33.26/8.65 |
% 33.26/8.65 |-The branch is then unsatisfiable
% 33.26/8.65 |-Branch two:
% 33.26/8.65 | (698) ~ (all_0_104_104 = e21)
% 33.26/8.65 | (699) all_0_108_108 = e21
% 33.26/8.65 |
% 33.26/8.65 | Combining equations (470,699) yields a new equation:
% 33.26/8.65 | (677) e22 = e21
% 33.26/8.65 |
% 33.26/8.65 | Simplifying 677 yields:
% 33.26/8.65 | (533) e22 = e21
% 33.26/8.65 |
% 33.26/8.65 | Equations (533) can reduce 28 to:
% 33.26/8.65 | (401) $false
% 33.26/8.65 |
% 33.26/8.65 |-The branch is then unsatisfiable
% 33.26/8.65 |-Branch two:
% 33.26/8.65 | (703) ~ (all_0_108_108 = e22)
% 33.26/8.65 | (704) all_0_109_109 = e22 | all_0_110_110 = e22
% 33.26/8.65 |
% 33.26/8.65 +-Applying beta-rule and splitting (424), into two cases.
% 33.26/8.65 |-Branch one:
% 33.26/8.65 | (470) all_0_108_108 = e22
% 33.26/8.65 |
% 33.26/8.65 | Equations (470) can reduce 703 to:
% 33.26/8.65 | (401) $false
% 33.26/8.65 |
% 33.26/8.65 |-The branch is then unsatisfiable
% 33.26/8.65 |-Branch two:
% 33.26/8.65 | (703) ~ (all_0_108_108 = e22)
% 33.26/8.65 | (699) all_0_108_108 = e21
% 33.26/8.65 |
% 33.26/8.65 | Equations (699) can reduce 221 to:
% 33.26/8.65 | (709) ~ (all_0_107_107 = e21)
% 33.26/8.65 |
% 33.26/8.65 +-Applying beta-rule and splitting (428), into two cases.
% 33.26/8.65 |-Branch one:
% 33.26/8.65 | (460) all_0_107_107 = e20
% 33.26/8.65 |
% 33.26/8.65 | Equations (460) can reduce 451 to:
% 33.26/8.65 | (401) $false
% 33.26/8.65 |
% 33.26/8.65 |-The branch is then unsatisfiable
% 33.26/8.65 |-Branch two:
% 33.26/8.65 | (451) ~ (all_0_107_107 = e20)
% 33.26/8.65 | (485) all_0_107_107 = e21
% 33.26/8.65 |
% 33.26/8.65 | Equations (485) can reduce 709 to:
% 33.26/8.65 | (401) $false
% 33.26/8.65 |
% 33.26/8.65 |-The branch is then unsatisfiable
% 33.26/8.65 |-Branch two:
% 33.26/8.65 | (715) ~ (all_0_109_109 = e20)
% 33.26/8.65 | (687) all_0_110_110 = e20
% 33.26/8.65 |
% 33.26/8.65 | Combining equations (687,375) yields a new equation:
% 33.26/8.65 | (521) e23 = e20
% 33.26/8.65 |
% 33.26/8.65 | Equations (521) can reduce 44 to:
% 33.26/8.65 | (401) $false
% 33.26/8.65 |
% 33.26/8.65 |-The branch is then unsatisfiable
% 33.26/8.65 |-Branch two:
% 33.26/8.65 | (719) ~ (all_0_99_99 = e20)
% 33.26/8.65 | (720) all_0_103_103 = e20 | all_0_107_107 = e20
% 33.26/8.65 |
% 33.26/8.65 +-Applying beta-rule and splitting (436), into two cases.
% 33.26/8.65 |-Branch one:
% 33.26/8.65 | (447) all_0_99_99 = e20
% 33.26/8.65 |
% 33.26/8.65 | Equations (447) can reduce 719 to:
% 33.26/8.65 | (401) $false
% 33.26/8.65 |
% 33.26/8.65 |-The branch is then unsatisfiable
% 33.26/8.65 |-Branch two:
% 33.26/8.65 | (719) ~ (all_0_99_99 = e20)
% 33.26/8.65 | (475) all_0_99_99 = e21
% 33.26/8.65 |
% 33.26/8.65 | Equations (475) can reduce 184 to:
% 33.26/8.65 | (725) ~ (all_0_101_101 = e21)
% 33.26/8.65 |
% 33.26/8.65 | Simplifying 725 yields:
% 33.26/8.65 | (690) ~ (all_0_101_101 = e21)
% 33.26/8.65 |
% 33.26/8.65 | Equations (475) can reduce 31 to:
% 33.26/8.65 | (727) ~ (all_0_102_102 = e21)
% 33.26/8.65 |
% 33.26/8.65 | Simplifying 727 yields:
% 33.26/8.65 | (308) ~ (all_0_102_102 = e21)
% 33.26/8.65 |
% 33.26/8.65 | Equations (475) can reduce 4 to:
% 33.26/8.65 | (729) ~ (all_0_107_107 = e21)
% 33.26/8.65 |
% 33.26/8.65 | Simplifying 729 yields:
% 33.26/8.65 | (709) ~ (all_0_107_107 = e21)
% 33.26/8.65 |
% 33.26/8.65 | Equations (475) can reduce 399 to:
% 33.26/8.65 | (486) ~ (e23 = e21)
% 33.26/8.65 |
% 33.26/8.65 | Simplifying 486 yields:
% 33.26/8.65 | (279) ~ (e23 = e21)
% 33.26/8.65 |
% 33.26/8.65 | From (475) and (39) follows:
% 33.26/8.65 | (733) op2(all_0_93_93, e21) = all_0_8_8
% 33.26/8.65 |
% 33.26/8.65 | From (475) and (11) follows:
% 33.26/8.65 | (734) op2(all_0_94_94, e21) = all_0_19_19
% 33.26/8.65 |
% 33.26/8.65 | From (475) and (150) follows:
% 33.26/8.65 | (735) op2(e21, all_0_93_93) = all_0_2_2
% 33.26/8.65 |
% 33.26/8.65 | From (475) and (40) follows:
% 33.26/8.65 | (736) op2(e21, all_0_94_94) = all_0_6_6
% 33.26/8.65 |
% 33.26/8.65 | From (475)(475) and (292) follows:
% 33.26/8.65 | (737) op2(e21, e21) = all_0_0_0
% 33.26/8.65 |
% 33.26/8.65 | From (475) and (344) follows:
% 33.26/8.65 | (738) op2(e21, e23) = all_0_4_4
% 33.26/8.65 |
% 33.26/8.65 | From (475) and (79) follows:
% 33.26/8.65 | (739) op2(e23, e21) = all_0_93_93
% 33.26/8.65 |
% 33.26/8.65 | From (475) and (209) follows:
% 33.26/8.65 | (740) op2(e23, e23) = e21
% 33.26/8.65 |
% 33.26/8.65 +-Applying beta-rule and splitting (720), into two cases.
% 33.26/8.65 |-Branch one:
% 33.26/8.65 | (519) all_0_103_103 = e20
% 33.26/8.65 |
% 33.26/8.65 | Combining equations (413,519) yields a new equation:
% 33.26/8.65 | (520) e23 = e20
% 33.26/8.65 |
% 33.26/8.65 | Simplifying 520 yields:
% 33.26/8.66 | (521) e23 = e20
% 33.26/8.66 |
% 33.26/8.66 | Equations (521) can reduce 44 to:
% 33.26/8.66 | (401) $false
% 33.26/8.66 |
% 33.26/8.66 |-The branch is then unsatisfiable
% 33.26/8.66 |-Branch two:
% 33.26/8.66 | (523) ~ (all_0_103_103 = e20)
% 33.26/8.66 | (460) all_0_107_107 = e20
% 33.26/8.66 |
% 33.26/8.66 | Equations (460) can reduce 221 to:
% 33.26/8.66 | (747) ~ (all_0_108_108 = e20)
% 33.26/8.66 |
% 33.26/8.66 | Simplifying 747 yields:
% 33.26/8.66 | (237) ~ (all_0_108_108 = e20)
% 33.26/8.66 |
% 33.26/8.66 | Equations (460) can reduce 418 to:
% 33.26/8.66 | (452) ~ (e23 = e20)
% 33.26/8.66 |
% 33.26/8.66 | Simplifying 452 yields:
% 33.26/8.66 | (44) ~ (e23 = e20)
% 33.26/8.66 |
% 33.26/8.66 | Equations (460) can reduce 195 to:
% 33.26/8.66 | (751) ~ (e22 = e20)
% 33.26/8.66 |
% 33.26/8.66 | Simplifying 751 yields:
% 33.26/8.66 | (304) ~ (e22 = e20)
% 33.26/8.66 |
% 33.26/8.66 | Equations (460) can reduce 709 to:
% 33.26/8.66 | (530) ~ (e21 = e20)
% 33.26/8.66 |
% 33.26/8.66 | Simplifying 530 yields:
% 33.26/8.66 | (280) ~ (e21 = e20)
% 33.26/8.66 |
% 33.26/8.66 | From (460)(460) and (391) follows:
% 33.26/8.66 | (755) op2(e20, e20) = all_0_76_76
% 33.26/8.66 |
% 33.26/8.66 | From (460) and (393) follows:
% 33.26/8.66 | (756) op2(e20, e20) = all_0_78_78
% 33.26/8.66 |
% 33.26/8.66 | From (460) and (394) follows:
% 33.26/8.66 | (757) op2(e23, e20) = all_0_68_68
% 33.26/8.66 |
% 33.26/8.66 | From (460) and (397) follows:
% 33.26/8.66 | (758) op2(e20, e20) = all_0_98_98
% 33.26/8.66 |
% 33.26/8.66 | Instantiating formula (312) with e23, e21, all_0_93_93, all_0_101_101 and discharging atoms op2(e23, e21) = all_0_93_93, op2(e23, e21) = all_0_101_101, yields:
% 33.26/8.66 | (759) all_0_93_93 = all_0_101_101
% 33.26/8.66 |
% 33.26/8.66 | Instantiating formula (312) with e23, e20, all_0_68_68, all_0_102_102 and discharging atoms op2(e23, e20) = all_0_68_68, op2(e23, e20) = all_0_102_102, yields:
% 33.26/8.66 | (760) all_0_68_68 = all_0_102_102
% 33.26/8.66 |
% 33.26/8.66 | Instantiating formula (312) with e21, e23, all_0_4_4, e22 and discharging atoms op2(e21, e23) = all_0_4_4, op2(e21, e23) = e22, yields:
% 33.26/8.66 | (761) all_0_4_4 = e22
% 33.26/8.66 |
% 33.26/8.66 | Instantiating formula (312) with e21, e21, all_0_0_0, e23 and discharging atoms op2(e21, e21) = all_0_0_0, op2(e21, e21) = e23, yields:
% 33.26/8.66 | (554) all_0_0_0 = e23
% 33.26/8.66 |
% 33.26/8.66 | Instantiating formula (312) with e20, e20, all_0_78_78, e23 and discharging atoms op2(e20, e20) = all_0_78_78, op2(e20, e20) = e23, yields:
% 33.26/8.66 | (763) all_0_78_78 = e23
% 33.26/8.66 |
% 33.26/8.66 | Instantiating formula (312) with e20, e20, all_0_78_78, all_0_76_76 and discharging atoms op2(e20, e20) = all_0_76_76, op2(e20, e20) = all_0_78_78, yields:
% 33.26/8.66 | (764) all_0_76_76 = all_0_78_78
% 33.26/8.66 |
% 33.26/8.66 | Instantiating formula (312) with e20, e20, all_0_98_98, all_0_76_76 and discharging atoms op2(e20, e20) = all_0_76_76, op2(e20, e20) = all_0_98_98, yields:
% 33.26/8.66 | (765) all_0_76_76 = all_0_98_98
% 33.26/8.66 |
% 33.26/8.66 | Combining equations (764,765) yields a new equation:
% 33.26/8.66 | (766) all_0_78_78 = all_0_98_98
% 33.26/8.66 |
% 33.26/8.66 | Simplifying 766 yields:
% 33.26/8.66 | (767) all_0_78_78 = all_0_98_98
% 33.26/8.66 |
% 33.26/8.66 | Combining equations (767,763) yields a new equation:
% 33.26/8.66 | (768) all_0_98_98 = e23
% 33.26/8.66 |
% 33.26/8.66 | Simplifying 768 yields:
% 33.26/8.66 | (769) all_0_98_98 = e23
% 33.26/8.66 |
% 33.26/8.66 | From (759)(759) and (103) follows:
% 33.26/8.66 | (770) op2(all_0_101_101, all_0_101_101) = all_0_10_10
% 33.26/8.66 |
% 33.26/8.66 | From (759) and (201) follows:
% 33.26/8.66 | (771) op2(all_0_101_101, all_0_94_94) = all_0_14_14
% 33.26/8.66 |
% 33.26/8.66 | From (759) and (81) follows:
% 33.26/8.66 | (772) op2(all_0_101_101, e23) = all_0_12_12
% 33.26/8.66 |
% 33.26/8.66 | From (759) and (733) follows:
% 33.26/8.66 | (773) op2(all_0_101_101, e21) = all_0_8_8
% 33.26/8.66 |
% 33.26/8.66 | From (769)(769) and (263) follows:
% 33.26/8.66 | (774) op2(e23, e23) = all_0_91_91
% 33.26/8.66 |
% 33.26/8.66 | From (769) and (381) follows:
% 33.26/8.66 | (775) op2(e23, e23) = all_0_85_85
% 33.26/8.66 |
% 33.26/8.66 | From (769) and (162) follows:
% 33.26/8.66 | (776) op2(e23, e20) = all_0_89_89
% 33.26/8.66 |
% 33.26/8.66 | From (759) and (190) follows:
% 33.26/8.66 | (777) op2(e23, all_0_101_101) = all_0_94_94
% 33.26/8.66 |
% 33.26/8.66 | From (769) and (383) follows:
% 33.26/8.66 | (778) op2(e23, e23) = all_0_72_72
% 33.26/8.66 |
% 33.26/8.66 | From (759) and (739) follows:
% 33.26/8.66 | (250) op2(e23, e21) = all_0_101_101
% 33.26/8.66 |
% 33.26/8.66 | From (760) and (757) follows:
% 33.26/8.66 | (199) op2(e23, e20) = all_0_102_102
% 33.26/8.66 |
% 33.26/8.66 | From (759) and (735) follows:
% 33.26/8.66 | (781) op2(e21, all_0_101_101) = all_0_2_2
% 33.26/8.66 |
% 33.26/8.66 | From (761) and (738) follows:
% 33.26/8.66 | (89) op2(e21, e23) = e22
% 33.26/8.66 |
% 33.26/8.66 | From (554) and (737) follows:
% 33.26/8.66 | (224) op2(e21, e21) = e23
% 33.26/8.66 |
% 33.26/8.66 | From (769) and (758) follows:
% 33.26/8.66 | (387) op2(e20, e20) = e23
% 33.26/8.66 |
% 33.26/8.66 | Instantiating formula (312) with e23, e23, all_0_72_72, e21 and discharging atoms op2(e23, e23) = all_0_72_72, op2(e23, e23) = e21, yields:
% 33.26/8.66 | (785) all_0_72_72 = e21
% 33.26/8.66 |
% 33.26/8.66 | Instantiating formula (312) with e23, e23, all_0_85_85, all_0_72_72 and discharging atoms op2(e23, e23) = all_0_72_72, op2(e23, e23) = all_0_85_85, yields:
% 33.26/8.66 | (786) all_0_72_72 = all_0_85_85
% 33.26/8.66 |
% 33.26/8.66 | Instantiating formula (312) with e23, e23, all_0_91_91, all_0_85_85 and discharging atoms op2(e23, e23) = all_0_85_85, op2(e23, e23) = all_0_91_91, yields:
% 33.26/8.66 | (787) all_0_85_85 = all_0_91_91
% 33.26/8.66 |
% 33.26/8.66 | Instantiating formula (312) with e23, e20, all_0_89_89, all_0_102_102 and discharging atoms op2(e23, e20) = all_0_89_89, op2(e23, e20) = all_0_102_102, yields:
% 33.26/8.66 | (788) all_0_89_89 = all_0_102_102
% 33.26/8.66 |
% 33.26/8.66 | Combining equations (786,785) yields a new equation:
% 33.26/8.66 | (789) all_0_85_85 = e21
% 33.26/8.66 |
% 33.26/8.66 | Simplifying 789 yields:
% 33.26/8.66 | (584) all_0_85_85 = e21
% 33.26/8.66 |
% 33.26/8.66 | Combining equations (787,584) yields a new equation:
% 33.26/8.66 | (791) all_0_91_91 = e21
% 33.26/8.66 |
% 33.26/8.66 | Simplifying 791 yields:
% 33.26/8.66 | (792) all_0_91_91 = e21
% 33.26/8.66 |
% 33.26/8.66 | From (792) and (774) follows:
% 33.26/8.66 | (740) op2(e23, e23) = e21
% 33.26/8.66 |
% 33.26/8.66 | From (788) and (776) follows:
% 33.26/8.66 | (199) op2(e23, e20) = all_0_102_102
% 33.26/8.66 |
% 33.26/8.66 +-Applying beta-rule and splitting (116), into two cases.
% 33.26/8.66 |-Branch one:
% 33.26/8.66 | (441) all_0_100_100 = e22
% 33.26/8.66 |
% 33.26/8.66 | Combining equations (404,441) yields a new equation:
% 33.26/8.66 | (796) e23 = e22
% 33.26/8.66 |
% 33.26/8.66 | Simplifying 796 yields:
% 33.26/8.66 | (442) e23 = e22
% 33.26/8.66 |
% 33.26/8.66 | Equations (442) can reduce 108 to:
% 33.26/8.66 | (401) $false
% 33.26/8.66 |
% 33.26/8.66 |-The branch is then unsatisfiable
% 33.26/8.66 |-Branch two:
% 33.26/8.66 | (444) ~ (all_0_100_100 = e22)
% 33.26/8.66 | (800) all_0_104_104 = e22 | all_0_108_108 = e22
% 33.26/8.66 |
% 33.26/8.66 | Equations (404) can reduce 444 to:
% 33.26/8.66 | (108) ~ (e23 = e22)
% 33.26/8.66 |
% 33.26/8.66 +-Applying beta-rule and splitting (218), into two cases.
% 33.26/8.66 |-Branch one:
% 33.26/8.66 | (544) all_0_102_102 = e22
% 33.26/8.66 |
% 33.26/8.66 | Equations (544) can reduce 227 to:
% 33.26/8.66 | (803) ~ (all_0_106_106 = e22)
% 33.26/8.66 |
% 33.26/8.66 | Simplifying 803 yields:
% 33.26/8.66 | (804) ~ (all_0_106_106 = e22)
% 33.26/8.66 |
% 33.26/8.66 | Equations (544) can reduce 376 to:
% 33.26/8.66 | (805) ~ (e23 = e22)
% 33.26/8.66 |
% 33.26/8.66 | Simplifying 805 yields:
% 33.26/8.66 | (108) ~ (e23 = e22)
% 33.26/8.66 |
% 33.26/8.66 | From (544) and (199) follows:
% 33.26/8.66 | (545) op2(e23, e20) = e22
% 33.26/8.66 |
% 33.26/8.66 +-Applying beta-rule and splitting (311), into two cases.
% 33.26/8.66 |-Branch one:
% 33.26/8.66 | (447) all_0_99_99 = e20
% 33.26/8.66 |
% 33.26/8.66 | Combining equations (475,447) yields a new equation:
% 33.26/8.66 | (646) e21 = e20
% 33.26/8.66 |
% 33.26/8.66 | Simplifying 646 yields:
% 33.26/8.66 | (476) e21 = e20
% 33.26/8.66 |
% 33.26/8.66 | Equations (476) can reduce 280 to:
% 33.26/8.66 | (401) $false
% 33.26/8.66 |
% 33.26/8.66 |-The branch is then unsatisfiable
% 33.26/8.66 |-Branch two:
% 33.26/8.66 | (719) ~ (all_0_99_99 = e20)
% 33.26/8.66 | (813) all_0_101_101 = e20 | all_0_102_102 = e20
% 33.26/8.66 |
% 33.26/8.66 +-Applying beta-rule and splitting (354), into two cases.
% 33.26/8.66 |-Branch one:
% 33.26/8.66 | (515) all_0_102_102 = e20
% 33.26/8.66 |
% 33.26/8.66 | Combining equations (544,515) yields a new equation:
% 33.26/8.66 | (644) e22 = e20
% 33.26/8.66 |
% 33.26/8.66 | Simplifying 644 yields:
% 33.26/8.66 | (645) e22 = e20
% 33.26/8.66 |
% 33.26/8.66 | Equations (645) can reduce 304 to:
% 33.26/8.66 | (401) $false
% 33.26/8.66 |
% 33.26/8.66 |-The branch is then unsatisfiable
% 33.26/8.66 |-Branch two:
% 33.26/8.66 | (449) ~ (all_0_102_102 = e20)
% 33.26/8.66 | (518) all_0_106_106 = e20 | all_0_110_110 = e20
% 33.26/8.66 |
% 33.26/8.66 | Equations (544) can reduce 449 to:
% 33.26/8.66 | (304) ~ (e22 = e20)
% 33.26/8.66 |
% 33.26/8.66 +-Applying beta-rule and splitting (813), into two cases.
% 33.26/8.66 |-Branch one:
% 33.26/8.66 | (821) all_0_101_101 = e20
% 33.26/8.66 |
% 33.26/8.66 | Equations (821) can reduce 146 to:
% 33.26/8.66 | (822) ~ (all_0_109_109 = e20)
% 33.26/8.66 |
% 33.26/8.66 | Simplifying 822 yields:
% 33.26/8.66 | (715) ~ (all_0_109_109 = e20)
% 33.26/8.66 |
% 33.26/8.66 | From (821) and (771) follows:
% 33.26/8.66 | (824) op2(e20, all_0_94_94) = all_0_14_14
% 33.26/8.66 |
% 33.26/8.66 | From (821)(821) and (770) follows:
% 33.26/8.66 | (825) op2(e20, e20) = all_0_10_10
% 33.26/8.66 |
% 33.26/8.66 | From (821) and (773) follows:
% 33.26/8.66 | (826) op2(e20, e21) = all_0_8_8
% 33.26/8.66 |
% 33.26/8.66 | From (821) and (777) follows:
% 33.26/8.66 | (827) op2(e23, e20) = all_0_94_94
% 33.26/8.66 |
% 33.26/8.66 | From (821) and (250) follows:
% 33.26/8.66 | (828) op2(e23, e21) = e20
% 33.26/8.66 |
% 33.26/8.66 +-Applying beta-rule and splitting (440), into two cases.
% 33.26/8.66 |-Branch one:
% 33.26/8.66 | (683) all_0_106_106 = e22
% 33.26/8.66 |
% 33.26/8.66 | Equations (683) can reduce 804 to:
% 33.26/8.66 | (401) $false
% 33.26/8.66 |
% 33.26/8.66 |-The branch is then unsatisfiable
% 33.26/8.66 |-Branch two:
% 33.26/8.66 | (804) ~ (all_0_106_106 = e22)
% 33.26/8.66 | (529) all_0_106_106 = e20
% 33.26/8.66 |
% 33.26/8.66 | Equations (529) can reduce 130 to:
% 33.26/8.66 | (161) ~ (all_0_104_104 = e20)
% 33.26/8.66 |
% 33.26/8.66 | Equations (529) can reduce 241 to:
% 33.26/8.66 | (834) ~ (all_0_105_105 = e20)
% 33.26/8.66 |
% 33.26/8.66 | Instantiating formula (312) with e23, e20, e22, all_0_94_94 and discharging atoms op2(e23, e20) = all_0_94_94, op2(e23, e20) = e22, yields:
% 33.26/8.66 | (835) all_0_94_94 = e22
% 33.26/8.66 |
% 33.26/8.66 | Instantiating formula (312) with e20, e21, all_0_8_8, all_0_109_109 and discharging atoms op2(e20, e21) = all_0_8_8, op2(e20, e21) = all_0_109_109, yields:
% 33.26/8.66 | (836) all_0_8_8 = all_0_109_109
% 33.26/8.66 |
% 33.26/8.66 | Instantiating formula (312) with e20, e20, all_0_10_10, e23 and discharging atoms op2(e20, e20) = all_0_10_10, op2(e20, e20) = e23, yields:
% 33.26/8.66 | (837) all_0_10_10 = e23
% 33.26/8.66 |
% 33.26/8.66 | From (835)(835) and (323) follows:
% 33.26/8.66 | (838) op2(e22, e22) = all_0_25_25
% 33.26/8.66 |
% 33.26/8.66 | From (835) and (338) follows:
% 33.26/8.66 | (839) op2(e22, e23) = all_0_23_23
% 33.26/8.66 |
% 33.26/8.66 | From (835) and (734) follows:
% 33.26/8.66 | (840) op2(e22, e21) = all_0_19_19
% 33.26/8.66 |
% 33.26/8.66 | From (835) and (827) follows:
% 33.26/8.67 | (545) op2(e23, e20) = e22
% 33.26/8.67 |
% 33.26/8.67 | From (835) and (824) follows:
% 33.26/8.67 | (842) op2(e20, e22) = all_0_14_14
% 33.26/8.67 |
% 33.26/8.67 | From (836) and (826) follows:
% 33.26/8.67 | (175) op2(e20, e21) = all_0_109_109
% 33.26/8.67 |
% 33.26/8.67 | From (837) and (825) follows:
% 33.26/8.67 | (387) op2(e20, e20) = e23
% 33.26/8.67 |
% 33.26/8.67 | Instantiating formula (312) with e22, e23, all_0_23_23, e23 and discharging atoms op2(e22, e23) = all_0_23_23, op2(e22, e23) = e23, yields:
% 33.26/8.67 | (845) all_0_23_23 = e23
% 33.26/8.67 |
% 33.26/8.67 | Instantiating formula (312) with e22, e22, all_0_25_25, all_0_104_104 and discharging atoms op2(e22, e22) = all_0_25_25, op2(e22, e22) = all_0_104_104, yields:
% 33.26/8.67 | (846) all_0_25_25 = all_0_104_104
% 33.26/8.67 |
% 33.26/8.67 | Instantiating formula (312) with e22, e21, all_0_19_19, all_0_105_105 and discharging atoms op2(e22, e21) = all_0_19_19, op2(e22, e21) = all_0_105_105, yields:
% 33.26/8.67 | (847) all_0_19_19 = all_0_105_105
% 33.26/8.67 |
% 33.26/8.67 | Instantiating formula (312) with e20, e22, all_0_14_14, all_0_108_108 and discharging atoms op2(e20, e22) = all_0_14_14, op2(e20, e22) = all_0_108_108, yields:
% 33.26/8.67 | (848) all_0_14_14 = all_0_108_108
% 33.26/8.67 |
% 33.26/8.67 | From (845) and (839) follows:
% 33.26/8.67 | (420) op2(e22, e23) = e23
% 33.26/8.67 |
% 33.26/8.67 | From (846) and (838) follows:
% 33.26/8.67 | (16) op2(e22, e22) = all_0_104_104
% 33.26/8.67 |
% 33.26/8.67 | From (847) and (840) follows:
% 33.26/8.67 | (61) op2(e22, e21) = all_0_105_105
% 33.26/8.67 |
% 33.26/8.67 | From (848) and (842) follows:
% 33.26/8.67 | (152) op2(e20, e22) = all_0_108_108
% 33.26/8.67 |
% 33.26/8.67 +-Applying beta-rule and splitting (22), into two cases.
% 33.26/8.67 |-Branch one:
% 33.26/8.67 | (470) all_0_108_108 = e22
% 33.26/8.67 |
% 33.26/8.67 | Equations (470) can reduce 331 to:
% 33.26/8.67 | (854) ~ (all_0_109_109 = e22)
% 33.26/8.67 |
% 33.26/8.67 | Simplifying 854 yields:
% 33.26/8.67 | (855) ~ (all_0_109_109 = e22)
% 33.26/8.67 |
% 33.26/8.67 | From (470) and (152) follows:
% 33.26/8.67 | (474) op2(e20, e22) = e22
% 33.26/8.67 |
% 33.26/8.67 +-Applying beta-rule and splitting (13), into two cases.
% 33.26/8.67 |-Branch one:
% 33.26/8.67 | (857) all_0_109_109 = e22
% 33.26/8.67 |
% 33.26/8.67 | Equations (857) can reduce 855 to:
% 33.26/8.67 | (401) $false
% 33.26/8.67 |
% 33.26/8.67 |-The branch is then unsatisfiable
% 33.26/8.67 |-Branch two:
% 33.26/8.67 | (855) ~ (all_0_109_109 = e22)
% 33.26/8.67 | (860) all_0_109_109 = e21 | all_0_109_109 = e20
% 33.26/8.67 |
% 33.26/8.67 +-Applying beta-rule and splitting (860), into two cases.
% 33.26/8.67 |-Branch one:
% 33.26/8.67 | (464) all_0_109_109 = e20
% 33.26/8.67 |
% 33.26/8.67 | Equations (464) can reduce 715 to:
% 33.26/8.67 | (401) $false
% 33.26/8.67 |
% 33.26/8.67 |-The branch is then unsatisfiable
% 33.26/8.67 |-Branch two:
% 33.26/8.67 | (715) ~ (all_0_109_109 = e20)
% 33.26/8.67 | (695) all_0_109_109 = e21
% 33.26/8.67 |
% 33.26/8.67 | Equations (695) can reduce 245 to:
% 33.26/8.67 | (501) ~ (all_0_105_105 = e21)
% 33.26/8.67 |
% 33.26/8.67 | Equations (695) can reduce 314 to:
% 33.26/8.67 | (486) ~ (e23 = e21)
% 33.26/8.67 |
% 33.26/8.67 | Simplifying 486 yields:
% 33.26/8.67 | (279) ~ (e23 = e21)
% 33.26/8.67 |
% 33.26/8.67 +-Applying beta-rule and splitting (341), into two cases.
% 33.26/8.67 |-Branch one:
% 33.26/8.67 | (537) all_0_105_105 = e22
% 33.26/8.67 |
% 33.26/8.67 | Equations (537) can reduce 501 to:
% 33.26/8.67 | (28) ~ (e22 = e21)
% 33.26/8.67 |
% 33.26/8.67 | From (537) and (61) follows:
% 33.26/8.67 | (539) op2(e22, e21) = e22
% 33.26/8.67 |
% 33.26/8.67 +-Applying beta-rule and splitting (283), into two cases.
% 33.26/8.67 |-Branch one:
% 33.26/8.67 | (494) all_0_100_100 = e21
% 33.26/8.67 |
% 33.26/8.67 | Combining equations (404,494) yields a new equation:
% 33.26/8.67 | (481) e23 = e21
% 33.26/8.67 |
% 33.26/8.67 | Simplifying 481 yields:
% 33.26/8.67 | (482) e23 = e21
% 33.26/8.67 |
% 33.26/8.67 | Equations (482) can reduce 279 to:
% 33.26/8.67 | (401) $false
% 33.26/8.67 |
% 33.26/8.67 |-The branch is then unsatisfiable
% 33.26/8.67 |-Branch two:
% 33.26/8.67 | (497) ~ (all_0_100_100 = e21)
% 33.26/8.67 | (498) all_0_104_104 = e21 | all_0_108_108 = e21
% 33.26/8.67 |
% 33.26/8.67 | Equations (404) can reduce 497 to:
% 33.26/8.67 | (279) ~ (e23 = e21)
% 33.26/8.67 |
% 33.26/8.67 +-Applying beta-rule and splitting (50), into two cases.
% 33.26/8.67 |-Branch one:
% 33.26/8.67 | (480) all_0_103_103 = e21
% 33.26/8.67 |
% 33.26/8.67 | Combining equations (413,480) yields a new equation:
% 33.26/8.67 | (481) e23 = e21
% 33.26/8.67 |
% 33.26/8.67 | Simplifying 481 yields:
% 33.26/8.67 | (482) e23 = e21
% 33.26/8.67 |
% 33.26/8.67 | Equations (482) can reduce 279 to:
% 33.26/8.67 | (401) $false
% 33.26/8.67 |
% 33.26/8.67 |-The branch is then unsatisfiable
% 33.26/8.67 |-Branch two:
% 33.26/8.67 | (484) ~ (all_0_103_103 = e21)
% 33.26/8.67 | (883) all_0_104_104 = e21 | all_0_105_105 = e21
% 33.26/8.67 |
% 33.26/8.67 +-Applying beta-rule and splitting (883), into two cases.
% 33.26/8.67 |-Branch one:
% 33.26/8.67 | (499) all_0_104_104 = e21
% 33.26/8.67 |
% 33.26/8.67 | Equations (499) can reduce 161 to:
% 33.26/8.67 | (280) ~ (e21 = e20)
% 33.26/8.67 |
% 33.26/8.67 | From (499) and (212) follows:
% 33.26/8.67 | (507) op2(all_0_95_95, e21) = all_0_35_35
% 33.26/8.67 |
% 33.26/8.67 | From (499) and (349) follows:
% 33.26/8.67 | (508) op2(all_0_96_96, e21) = all_0_46_46
% 33.26/8.67 |
% 33.26/8.67 | From (499) and (181) follows:
% 33.26/8.67 | (510) op2(e21, all_0_96_96) = all_0_33_33
% 33.26/8.67 |
% 33.26/8.67 | From (499)(499) and (35) follows:
% 33.26/8.67 | (511) op2(e21, e21) = all_0_27_27
% 33.26/8.67 |
% 33.26/8.67 | From (499) and (188) follows:
% 33.26/8.67 | (513) op2(e22, e21) = all_0_95_95
% 33.26/8.67 |
% 33.26/8.67 | From (499) and (16) follows:
% 33.26/8.67 | (514) op2(e22, e22) = e21
% 33.26/8.67 |
% 33.26/8.67 | Instantiating formula (312) with e22, e21, e22, all_0_95_95 and discharging atoms op2(e22, e21) = all_0_95_95, op2(e22, e21) = e22, yields:
% 33.26/8.67 | (547) all_0_95_95 = e22
% 33.26/8.67 |
% 33.26/8.67 | Instantiating formula (312) with e21, e21, all_0_27_27, e23 and discharging atoms op2(e21, e21) = all_0_27_27, op2(e21, e21) = e23, yields:
% 33.26/8.67 | (550) all_0_27_27 = e23
% 33.26/8.67 |
% 33.26/8.67 | From (547)(547) and (213) follows:
% 33.26/8.67 | (559) op2(e22, e22) = all_0_37_37
% 33.26/8.67 |
% 33.26/8.67 | From (547) and (332) follows:
% 33.26/8.67 | (560) op2(e22, e22) = all_0_39_39
% 33.26/8.67 |
% 33.26/8.67 | From (547) and (507) follows:
% 33.26/8.67 | (561) op2(e22, e21) = all_0_35_35
% 33.26/8.67 |
% 33.26/8.67 | From (547) and (121) follows:
% 33.26/8.67 | (566) op2(e22, e22) = all_0_96_96
% 33.26/8.67 |
% 33.26/8.67 | From (547) and (513) follows:
% 33.26/8.67 | (539) op2(e22, e21) = e22
% 33.26/8.67 |
% 33.26/8.67 | From (550) and (511) follows:
% 33.26/8.67 | (224) op2(e21, e21) = e23
% 33.26/8.67 |
% 33.26/8.67 | Instantiating formula (312) with e22, e22, all_0_37_37, e21 and discharging atoms op2(e22, e22) = all_0_37_37, op2(e22, e22) = e21, yields:
% 33.26/8.67 | (578) all_0_37_37 = e21
% 33.26/8.67 |
% 33.26/8.67 | Instantiating formula (312) with e22, e22, all_0_39_39, all_0_37_37 and discharging atoms op2(e22, e22) = all_0_37_37, op2(e22, e22) = all_0_39_39, yields:
% 33.26/8.67 | (590) all_0_37_37 = all_0_39_39
% 33.26/8.67 |
% 33.26/8.67 | Instantiating formula (312) with e22, e22, all_0_96_96, all_0_37_37 and discharging atoms op2(e22, e22) = all_0_37_37, op2(e22, e22) = all_0_96_96, yields:
% 33.26/8.67 | (581) all_0_37_37 = all_0_96_96
% 33.26/8.67 |
% 33.26/8.67 | Instantiating formula (312) with e22, e21, all_0_35_35, e22 and discharging atoms op2(e22, e21) = all_0_35_35, op2(e22, e21) = e22, yields:
% 33.26/8.67 | (582) all_0_35_35 = e22
% 33.26/8.67 |
% 33.26/8.67 | Combining equations (581,590) yields a new equation:
% 33.26/8.67 | (591) all_0_39_39 = all_0_96_96
% 33.26/8.67 |
% 33.26/8.67 | Combining equations (578,590) yields a new equation:
% 33.26/8.67 | (592) all_0_39_39 = e21
% 33.26/8.67 |
% 33.26/8.67 | Combining equations (592,591) yields a new equation:
% 33.26/8.67 | (593) all_0_96_96 = e21
% 33.26/8.67 |
% 33.26/8.67 | From (593)(593) and (197) follows:
% 33.26/8.67 | (599) op2(e21, e21) = all_0_52_52
% 33.26/8.67 |
% 33.26/8.67 | From (593) and (508) follows:
% 33.26/8.67 | (601) op2(e21, e21) = all_0_46_46
% 33.26/8.67 |
% 33.26/8.67 | From (593) and (113) follows:
% 33.26/8.67 | (604) op2(e22, e21) = all_0_45_45
% 33.26/8.67 |
% 33.26/8.67 | From (582) and (561) follows:
% 33.26/8.67 | (539) op2(e22, e21) = e22
% 33.26/8.67 |
% 33.26/8.67 | From (593) and (510) follows:
% 33.26/8.67 | (607) op2(e21, e21) = all_0_33_33
% 33.26/8.67 |
% 33.26/8.67 | Instantiating formula (312) with e22, e21, all_0_45_45, e22 and discharging atoms op2(e22, e21) = all_0_45_45, op2(e22, e21) = e22, yields:
% 33.26/8.67 | (617) all_0_45_45 = e22
% 33.26/8.67 |
% 33.26/8.67 | Instantiating formula (312) with e21, e21, all_0_33_33, e23 and discharging atoms op2(e21, e21) = all_0_33_33, op2(e21, e21) = e23, yields:
% 33.26/8.67 | (913) all_0_33_33 = e23
% 33.26/8.67 |
% 33.26/8.67 | Instantiating formula (312) with e21, e21, all_0_46_46, all_0_33_33 and discharging atoms op2(e21, e21) = all_0_33_33, op2(e21, e21) = all_0_46_46, yields:
% 33.26/8.67 | (620) all_0_33_33 = all_0_46_46
% 33.26/8.67 |
% 33.26/8.67 | Instantiating formula (312) with e21, e21, all_0_52_52, all_0_33_33 and discharging atoms op2(e21, e21) = all_0_33_33, op2(e21, e21) = all_0_52_52, yields:
% 33.26/8.67 | (621) all_0_33_33 = all_0_52_52
% 33.26/8.67 |
% 33.26/8.67 | Combining equations (913,620) yields a new equation:
% 33.26/8.67 | (619) all_0_46_46 = e23
% 33.26/8.67 |
% 33.26/8.67 | Combining equations (621,620) yields a new equation:
% 33.26/8.67 | (628) all_0_46_46 = all_0_52_52
% 33.26/8.67 |
% 33.26/8.67 | Combining equations (628,619) yields a new equation:
% 33.26/8.67 | (629) all_0_52_52 = e23
% 33.26/8.67 |
% 33.26/8.67 | Simplifying 629 yields:
% 33.26/8.67 | (630) all_0_52_52 = e23
% 33.26/8.67 |
% 33.26/8.67 | From (617) and (604) follows:
% 33.26/8.67 | (539) op2(e22, e21) = e22
% 33.26/8.67 |
% 33.26/8.67 | From (630) and (599) follows:
% 33.26/8.67 | (224) op2(e21, e21) = e23
% 33.26/8.67 |
% 33.26/8.67 +-Applying beta-rule and splitting (277), into two cases.
% 33.26/8.67 |-Branch one:
% 33.26/8.67 | (637) unit2 = e23
% 33.47/8.67 |
% 33.47/8.67 | From (637) and (172) follows:
% 33.47/8.67 | (923) op2(e23, e20) = e20
% 33.47/8.67 |
% 33.47/8.67 | From (637) and (38) follows:
% 33.47/8.67 | (638) op2(e23, e23) = e23
% 33.47/8.67 |
% 33.47/8.67 | From (637) and (334) follows:
% 33.47/8.67 | (639) op2(e22, e23) = e22
% 33.47/8.67 |
% 33.47/8.67 | Instantiating formula (312) with e23, e23, e23, e21 and discharging atoms op2(e23, e23) = e23, op2(e23, e23) = e21, yields:
% 33.47/8.67 | (482) e23 = e21
% 33.47/8.67 |
% 33.47/8.67 | Instantiating formula (312) with e23, e20, e20, e22 and discharging atoms op2(e23, e20) = e22, op2(e23, e20) = e20, yields:
% 33.47/8.67 | (645) e22 = e20
% 33.47/8.67 |
% 33.47/8.67 | Instantiating formula (312) with e22, e23, e22, e23 and discharging atoms op2(e22, e23) = e23, op2(e22, e23) = e22, yields:
% 33.47/8.67 | (442) e23 = e22
% 33.47/8.67 |
% 33.47/8.67 | Combining equations (442,482) yields a new equation:
% 33.47/8.67 | (677) e22 = e21
% 33.47/8.67 |
% 33.47/8.67 | Simplifying 677 yields:
% 33.47/8.67 | (533) e22 = e21
% 33.47/8.67 |
% 33.47/8.67 | Combining equations (645,533) yields a new equation:
% 33.47/8.67 | (476) e21 = e20
% 33.47/8.67 |
% 33.47/8.67 | Equations (476) can reduce 280 to:
% 33.47/8.67 | (401) $false
% 33.47/8.67 |
% 33.47/8.67 |-The branch is then unsatisfiable
% 33.47/8.67 |-Branch two:
% 33.47/8.67 | (649) ~ (unit2 = e23)
% 33.47/8.67 | (650) unit2 = e22 | unit2 = e21 | unit2 = e20
% 33.47/8.67 |
% 33.47/8.67 +-Applying beta-rule and splitting (650), into two cases.
% 33.47/8.67 |-Branch one:
% 33.47/8.67 | (651) unit2 = e22
% 33.47/8.67 |
% 33.47/8.67 | From (651) and (171) follows:
% 33.47/8.67 | (652) op2(e22, e21) = e21
% 33.47/8.67 |
% 33.47/8.67 | From (651) and (202) follows:
% 33.47/8.67 | (653) op2(e20, e22) = e20
% 33.47/8.67 |
% 33.47/8.67 | Instantiating formula (312) with e22, e21, e21, e22 and discharging atoms op2(e22, e21) = e22, op2(e22, e21) = e21, yields:
% 33.47/8.67 | (533) e22 = e21
% 33.47/8.67 |
% 33.47/8.67 | Instantiating formula (312) with e20, e22, e20, e22 and discharging atoms op2(e20, e22) = e22, op2(e20, e22) = e20, yields:
% 33.47/8.68 | (645) e22 = e20
% 33.47/8.68 |
% 33.47/8.68 | Combining equations (645,533) yields a new equation:
% 33.47/8.68 | (476) e21 = e20
% 33.47/8.68 |
% 33.47/8.68 | Equations (476) can reduce 280 to:
% 33.47/8.68 | (401) $false
% 33.47/8.68 |
% 33.47/8.68 |-The branch is then unsatisfiable
% 33.47/8.68 |-Branch two:
% 33.47/8.68 | (658) ~ (unit2 = e22)
% 33.47/8.68 | (659) unit2 = e21 | unit2 = e20
% 33.47/8.68 |
% 33.47/8.68 +-Applying beta-rule and splitting (659), into two cases.
% 33.47/8.68 |-Branch one:
% 33.47/8.68 | (660) unit2 = e20
% 33.47/8.68 |
% 33.47/8.68 | Equations (660) can reduce 658 to:
% 33.47/8.68 | (751) ~ (e22 = e20)
% 33.47/8.68 |
% 33.47/8.68 | Simplifying 751 yields:
% 33.47/8.68 | (304) ~ (e22 = e20)
% 33.47/8.68 |
% 33.47/8.68 | From (660) and (38) follows:
% 33.47/8.68 | (947) op2(e23, e20) = e23
% 33.47/8.68 |
% 33.47/8.68 | From (660) and (202) follows:
% 33.47/8.68 | (662) op2(e20, e20) = e20
% 33.47/8.68 |
% 33.47/8.68 | Instantiating formula (312) with e23, e20, e23, e22 and discharging atoms op2(e23, e20) = e23, op2(e23, e20) = e22, yields:
% 33.47/8.68 | (442) e23 = e22
% 33.47/8.68 |
% 33.47/8.68 | Instantiating formula (312) with e20, e20, e20, e23 and discharging atoms op2(e20, e20) = e23, op2(e20, e20) = e20, yields:
% 33.47/8.68 | (521) e23 = e20
% 33.47/8.68 |
% 33.47/8.68 | Combining equations (521,442) yields a new equation:
% 33.47/8.68 | (645) e22 = e20
% 33.47/8.68 |
% 33.47/8.68 | Equations (645) can reduce 304 to:
% 33.47/8.68 | (401) $false
% 33.47/8.68 |
% 33.47/8.68 |-The branch is then unsatisfiable
% 33.47/8.68 |-Branch two:
% 33.47/8.68 | (668) ~ (unit2 = e20)
% 33.47/8.68 | (669) unit2 = e21
% 33.47/8.68 |
% 33.47/8.68 | Equations (669) can reduce 668 to:
% 33.47/8.68 | (280) ~ (e21 = e20)
% 33.47/8.68 |
% 33.47/8.68 | From (669) and (38) follows:
% 33.47/8.68 | (956) op2(e23, e21) = e23
% 33.47/8.68 |
% 33.47/8.68 | From (669) and (105) follows:
% 33.47/8.68 | (673) op2(e21, e21) = e21
% 33.47/8.68 |
% 33.47/8.68 | Instantiating formula (312) with e23, e21, e23, e20 and discharging atoms op2(e23, e21) = e23, op2(e23, e21) = e20, yields:
% 33.47/8.68 | (521) e23 = e20
% 33.47/8.68 |
% 33.47/8.68 | Instantiating formula (312) with e21, e21, e21, e23 and discharging atoms op2(e21, e21) = e23, op2(e21, e21) = e21, yields:
% 33.47/8.68 | (482) e23 = e21
% 33.47/8.68 |
% 33.47/8.68 | Combining equations (482,521) yields a new equation:
% 33.47/8.68 | (646) e21 = e20
% 33.47/8.68 |
% 33.47/8.68 | Simplifying 646 yields:
% 33.47/8.68 | (476) e21 = e20
% 33.47/8.68 |
% 33.47/8.68 | Equations (476) can reduce 280 to:
% 33.47/8.68 | (401) $false
% 33.47/8.68 |
% 33.47/8.68 |-The branch is then unsatisfiable
% 33.47/8.68 |-Branch two:
% 33.47/8.68 | (698) ~ (all_0_104_104 = e21)
% 33.47/8.68 | (692) all_0_105_105 = e21
% 33.47/8.68 |
% 33.47/8.68 | Combining equations (537,692) yields a new equation:
% 33.47/8.68 | (677) e22 = e21
% 33.47/8.68 |
% 33.47/8.68 | Simplifying 677 yields:
% 33.47/8.68 | (533) e22 = e21
% 33.47/8.68 |
% 33.47/8.68 | Equations (533) can reduce 28 to:
% 33.47/8.68 | (401) $false
% 33.47/8.68 |
% 33.47/8.68 |-The branch is then unsatisfiable
% 33.47/8.68 |-Branch two:
% 33.47/8.68 | (682) ~ (all_0_105_105 = e22)
% 33.47/8.68 | (969) all_0_105_105 = e21 | all_0_105_105 = e20
% 33.47/8.68 |
% 33.47/8.68 +-Applying beta-rule and splitting (283), into two cases.
% 33.47/8.68 |-Branch one:
% 33.47/8.68 | (494) all_0_100_100 = e21
% 33.47/8.68 |
% 33.47/8.68 | Combining equations (404,494) yields a new equation:
% 33.47/8.68 | (481) e23 = e21
% 33.47/8.68 |
% 33.47/8.68 | Simplifying 481 yields:
% 33.47/8.68 | (482) e23 = e21
% 33.47/8.68 |
% 33.47/8.68 | Equations (482) can reduce 279 to:
% 33.47/8.68 | (401) $false
% 33.47/8.68 |
% 33.47/8.68 |-The branch is then unsatisfiable
% 33.47/8.68 |-Branch two:
% 33.47/8.68 | (497) ~ (all_0_100_100 = e21)
% 33.47/8.68 | (498) all_0_104_104 = e21 | all_0_108_108 = e21
% 33.47/8.68 |
% 33.47/8.68 | Equations (404) can reduce 497 to:
% 33.47/8.68 | (279) ~ (e23 = e21)
% 33.47/8.68 |
% 33.47/8.68 +-Applying beta-rule and splitting (50), into two cases.
% 33.47/8.68 |-Branch one:
% 33.47/8.68 | (480) all_0_103_103 = e21
% 33.47/8.68 |
% 33.47/8.68 | Combining equations (413,480) yields a new equation:
% 33.47/8.68 | (481) e23 = e21
% 33.47/8.68 |
% 33.47/8.68 | Simplifying 481 yields:
% 33.47/8.68 | (482) e23 = e21
% 33.47/8.68 |
% 33.47/8.68 | Equations (482) can reduce 279 to:
% 33.47/8.68 | (401) $false
% 33.47/8.68 |
% 33.47/8.68 |-The branch is then unsatisfiable
% 33.47/8.68 |-Branch two:
% 33.47/8.68 | (484) ~ (all_0_103_103 = e21)
% 33.47/8.68 | (883) all_0_104_104 = e21 | all_0_105_105 = e21
% 33.47/8.68 |
% 33.47/8.68 +-Applying beta-rule and splitting (883), into two cases.
% 33.47/8.68 |-Branch one:
% 33.47/8.68 | (499) all_0_104_104 = e21
% 33.47/8.68 |
% 33.47/8.68 | Equations (499) can reduce 54 to:
% 33.47/8.68 | (500) ~ (all_0_105_105 = e21)
% 33.47/8.68 |
% 33.47/8.68 | Simplifying 500 yields:
% 33.47/8.68 | (501) ~ (all_0_105_105 = e21)
% 33.47/8.68 |
% 33.47/8.68 +-Applying beta-rule and splitting (969), into two cases.
% 33.47/8.68 |-Branch one:
% 33.47/8.68 | (986) all_0_105_105 = e20
% 33.47/8.68 |
% 33.47/8.68 | Equations (986) can reduce 834 to:
% 33.47/8.68 | (401) $false
% 33.47/8.68 |
% 33.47/8.68 |-The branch is then unsatisfiable
% 33.47/8.68 |-Branch two:
% 33.47/8.68 | (834) ~ (all_0_105_105 = e20)
% 33.47/8.68 | (692) all_0_105_105 = e21
% 33.47/8.68 |
% 33.47/8.68 | Equations (692) can reduce 501 to:
% 33.47/8.68 | (401) $false
% 33.47/8.68 |
% 33.47/8.68 |-The branch is then unsatisfiable
% 33.47/8.68 |-Branch two:
% 33.47/8.68 | (698) ~ (all_0_104_104 = e21)
% 33.47/8.68 | (692) all_0_105_105 = e21
% 33.47/8.68 |
% 33.47/8.68 | Equations (692) can reduce 501 to:
% 33.47/8.68 | (401) $false
% 33.47/8.68 |
% 33.47/8.68 |-The branch is then unsatisfiable
% 33.47/8.68 |-Branch two:
% 33.47/8.68 | (703) ~ (all_0_108_108 = e22)
% 33.47/8.68 | (704) all_0_109_109 = e22 | all_0_110_110 = e22
% 33.47/8.68 |
% 33.47/8.68 +-Applying beta-rule and splitting (424), into two cases.
% 33.47/8.68 |-Branch one:
% 33.47/8.68 | (470) all_0_108_108 = e22
% 33.47/8.68 |
% 33.47/8.68 | Equations (470) can reduce 703 to:
% 33.47/8.68 | (401) $false
% 33.47/8.68 |
% 33.47/8.68 |-The branch is then unsatisfiable
% 33.47/8.68 |-Branch two:
% 33.47/8.68 | (703) ~ (all_0_108_108 = e22)
% 33.47/8.68 | (699) all_0_108_108 = e21
% 33.47/8.68 |
% 33.47/8.68 | From (699) and (152) follows:
% 33.47/8.68 | (1000) op2(e20, e22) = e21
% 33.47/8.68 |
% 33.47/8.68 +-Applying beta-rule and splitting (704), into two cases.
% 33.47/8.68 |-Branch one:
% 33.47/8.68 | (857) all_0_109_109 = e22
% 33.47/8.68 |
% 33.47/8.68 | Equations (857) can reduce 245 to:
% 33.47/8.68 | (682) ~ (all_0_105_105 = e22)
% 33.47/8.68 |
% 33.47/8.68 | Equations (857) can reduce 715 to:
% 33.47/8.68 | (304) ~ (e22 = e20)
% 33.47/8.68 |
% 33.47/8.68 | From (857) and (175) follows:
% 33.47/8.68 | (1004) op2(e20, e21) = e22
% 33.47/8.68 |
% 33.47/8.68 +-Applying beta-rule and splitting (12), into two cases.
% 33.47/8.68 |-Branch one:
% 33.47/8.68 | (532) all_0_104_104 = e22
% 33.47/8.68 |
% 33.47/8.68 | Equations (532) can reduce 54 to:
% 33.47/8.68 | (1006) ~ (all_0_105_105 = e22)
% 33.47/8.68 |
% 33.47/8.68 | Simplifying 1006 yields:
% 33.47/8.68 | (682) ~ (all_0_105_105 = e22)
% 33.47/8.68 |
% 33.47/8.68 +-Applying beta-rule and splitting (341), into two cases.
% 33.47/8.68 |-Branch one:
% 33.47/8.68 | (537) all_0_105_105 = e22
% 33.47/8.68 |
% 33.47/8.68 | Equations (537) can reduce 682 to:
% 33.47/8.68 | (401) $false
% 33.47/8.68 |
% 33.47/8.68 |-The branch is then unsatisfiable
% 33.47/8.68 |-Branch two:
% 33.47/8.68 | (682) ~ (all_0_105_105 = e22)
% 33.47/8.68 | (969) all_0_105_105 = e21 | all_0_105_105 = e20
% 33.47/8.68 |
% 33.47/8.68 +-Applying beta-rule and splitting (969), into two cases.
% 33.47/8.68 |-Branch one:
% 33.47/8.68 | (986) all_0_105_105 = e20
% 33.47/8.68 |
% 33.47/8.68 | Equations (986) can reduce 834 to:
% 33.47/8.68 | (401) $false
% 33.47/8.68 |
% 33.47/8.68 |-The branch is then unsatisfiable
% 33.47/8.68 |-Branch two:
% 33.47/8.68 | (834) ~ (all_0_105_105 = e20)
% 33.47/8.68 | (692) all_0_105_105 = e21
% 33.47/8.68 |
% 33.47/8.68 | Equations (692) can reduce 834 to:
% 33.47/8.68 | (280) ~ (e21 = e20)
% 33.47/8.68 |
% 33.47/8.68 +-Applying beta-rule and splitting (277), into two cases.
% 33.47/8.68 |-Branch one:
% 33.47/8.68 | (637) unit2 = e23
% 33.47/8.68 |
% 33.47/8.68 | From (637) and (172) follows:
% 33.47/8.68 | (923) op2(e23, e20) = e20
% 33.47/8.68 |
% 33.47/8.68 | From (637) and (38) follows:
% 33.47/8.68 | (638) op2(e23, e23) = e23
% 33.47/8.68 |
% 33.47/8.68 | From (637) and (334) follows:
% 33.47/8.68 | (639) op2(e22, e23) = e22
% 33.47/8.68 |
% 33.47/8.68 | Instantiating formula (312) with e23, e23, e23, e21 and discharging atoms op2(e23, e23) = e23, op2(e23, e23) = e21, yields:
% 33.47/8.68 | (482) e23 = e21
% 33.47/8.68 |
% 33.47/8.68 | Instantiating formula (312) with e23, e20, e20, e22 and discharging atoms op2(e23, e20) = e22, op2(e23, e20) = e20, yields:
% 33.47/8.68 | (645) e22 = e20
% 33.47/8.68 |
% 33.47/8.68 | Instantiating formula (312) with e22, e23, e22, e23 and discharging atoms op2(e22, e23) = e23, op2(e22, e23) = e22, yields:
% 33.47/8.68 | (442) e23 = e22
% 33.47/8.68 |
% 33.47/8.68 | Combining equations (442,482) yields a new equation:
% 33.47/8.68 | (677) e22 = e21
% 33.47/8.68 |
% 33.47/8.68 | Simplifying 677 yields:
% 33.47/8.68 | (533) e22 = e21
% 33.47/8.68 |
% 33.47/8.68 | Combining equations (645,533) yields a new equation:
% 33.47/8.68 | (476) e21 = e20
% 33.47/8.68 |
% 33.47/8.68 | Equations (476) can reduce 280 to:
% 33.47/8.68 | (401) $false
% 33.47/8.68 |
% 33.47/8.68 |-The branch is then unsatisfiable
% 33.47/8.68 |-Branch two:
% 33.47/8.68 | (649) ~ (unit2 = e23)
% 33.47/8.68 | (650) unit2 = e22 | unit2 = e21 | unit2 = e20
% 33.47/8.68 |
% 33.47/8.68 +-Applying beta-rule and splitting (650), into two cases.
% 33.47/8.68 |-Branch one:
% 33.47/8.68 | (651) unit2 = e22
% 33.47/8.68 |
% 33.47/8.68 | From (651) and (202) follows:
% 33.47/8.68 | (653) op2(e20, e22) = e20
% 33.47/8.68 |
% 33.47/8.68 | Instantiating formula (312) with e20, e22, e20, e21 and discharging atoms op2(e20, e22) = e21, op2(e20, e22) = e20, yields:
% 33.47/8.68 | (476) e21 = e20
% 33.47/8.68 |
% 33.47/8.68 | Equations (476) can reduce 280 to:
% 33.47/8.68 | (401) $false
% 33.47/8.68 |
% 33.47/8.68 |-The branch is then unsatisfiable
% 33.47/8.68 |-Branch two:
% 33.47/8.68 | (658) ~ (unit2 = e22)
% 33.47/8.68 | (659) unit2 = e21 | unit2 = e20
% 33.47/8.68 |
% 33.47/8.68 +-Applying beta-rule and splitting (659), into two cases.
% 33.47/8.68 |-Branch one:
% 33.47/8.68 | (660) unit2 = e20
% 33.47/8.68 |
% 33.47/8.68 | From (660) and (171) follows:
% 33.47/8.68 | (1037) op2(e20, e21) = e21
% 33.47/8.68 |
% 33.47/8.68 | From (660) and (38) follows:
% 33.47/8.68 | (947) op2(e23, e20) = e23
% 33.47/8.68 |
% 33.47/8.68 | From (660) and (202) follows:
% 33.47/8.68 | (662) op2(e20, e20) = e20
% 33.47/8.68 |
% 33.47/8.68 | Instantiating formula (312) with e23, e20, e23, e22 and discharging atoms op2(e23, e20) = e23, op2(e23, e20) = e22, yields:
% 33.47/8.68 | (442) e23 = e22
% 33.47/8.68 |
% 33.47/8.68 | Instantiating formula (312) with e20, e21, e21, e22 and discharging atoms op2(e20, e21) = e22, op2(e20, e21) = e21, yields:
% 33.47/8.68 | (533) e22 = e21
% 33.47/8.68 |
% 33.47/8.68 | Instantiating formula (312) with e20, e20, e20, e23 and discharging atoms op2(e20, e20) = e23, op2(e20, e20) = e20, yields:
% 33.47/8.68 | (521) e23 = e20
% 33.47/8.68 |
% 33.47/8.68 | Combining equations (442,521) yields a new equation:
% 33.47/8.68 | (644) e22 = e20
% 33.47/8.68 |
% 33.47/8.68 | Simplifying 644 yields:
% 33.47/8.68 | (645) e22 = e20
% 33.47/8.68 |
% 33.47/8.68 | Combining equations (533,645) yields a new equation:
% 33.47/8.68 | (646) e21 = e20
% 33.47/8.68 |
% 33.47/8.68 | Simplifying 646 yields:
% 33.47/8.68 | (476) e21 = e20
% 33.47/8.69 |
% 33.47/8.69 | Equations (476) can reduce 280 to:
% 33.47/8.69 | (401) $false
% 33.47/8.69 |
% 33.47/8.69 |-The branch is then unsatisfiable
% 33.47/8.69 |-Branch two:
% 33.47/8.69 | (668) ~ (unit2 = e20)
% 33.47/8.69 | (669) unit2 = e21
% 33.47/8.69 |
% 33.47/8.69 | Equations (669) can reduce 668 to:
% 33.47/8.69 | (280) ~ (e21 = e20)
% 33.47/8.69 |
% 33.47/8.69 | From (669) and (299) follows:
% 33.47/8.69 | (671) op2(e21, e23) = e23
% 33.47/8.69 |
% 33.47/8.69 | From (669) and (38) follows:
% 33.47/8.69 | (956) op2(e23, e21) = e23
% 33.47/8.69 |
% 33.47/8.69 | From (669) and (105) follows:
% 33.47/8.69 | (673) op2(e21, e21) = e21
% 33.47/8.69 |
% 33.47/8.69 | Instantiating formula (312) with e23, e21, e23, e20 and discharging atoms op2(e23, e21) = e23, op2(e23, e21) = e20, yields:
% 33.47/8.69 | (521) e23 = e20
% 33.47/8.69 |
% 33.47/8.69 | Instantiating formula (312) with e21, e23, e23, e22 and discharging atoms op2(e21, e23) = e23, op2(e21, e23) = e22, yields:
% 33.47/8.69 | (442) e23 = e22
% 33.47/8.69 |
% 33.47/8.69 | Instantiating formula (312) with e21, e21, e21, e23 and discharging atoms op2(e21, e21) = e23, op2(e21, e21) = e21, yields:
% 33.47/8.69 | (482) e23 = e21
% 33.47/8.69 |
% 33.47/8.69 | Combining equations (521,442) yields a new equation:
% 33.47/8.69 | (645) e22 = e20
% 33.47/8.69 |
% 33.47/8.69 | Combining equations (482,442) yields a new equation:
% 33.47/8.69 | (533) e22 = e21
% 33.47/8.69 |
% 33.47/8.69 | Combining equations (533,645) yields a new equation:
% 33.47/8.69 | (646) e21 = e20
% 33.47/8.69 |
% 33.47/8.69 | Simplifying 646 yields:
% 33.47/8.69 | (476) e21 = e20
% 33.47/8.69 |
% 33.47/8.69 | Equations (476) can reduce 280 to:
% 33.47/8.69 | (401) $false
% 33.47/8.69 |
% 33.47/8.69 |-The branch is then unsatisfiable
% 33.47/8.69 |-Branch two:
% 33.47/8.69 | (471) ~ (all_0_104_104 = e22)
% 33.47/8.69 | (536) all_0_105_105 = e22 | all_0_106_106 = e22
% 33.47/8.69 |
% 33.47/8.69 +-Applying beta-rule and splitting (341), into two cases.
% 33.47/8.69 |-Branch one:
% 33.47/8.69 | (537) all_0_105_105 = e22
% 33.47/8.69 |
% 33.47/8.69 | Equations (537) can reduce 682 to:
% 33.47/8.69 | (401) $false
% 33.47/8.69 |
% 33.47/8.69 |-The branch is then unsatisfiable
% 33.47/8.69 |-Branch two:
% 33.47/8.69 | (682) ~ (all_0_105_105 = e22)
% 33.47/8.69 | (969) all_0_105_105 = e21 | all_0_105_105 = e20
% 33.47/8.69 |
% 33.47/8.69 +-Applying beta-rule and splitting (969), into two cases.
% 33.47/8.69 |-Branch one:
% 33.47/8.69 | (986) all_0_105_105 = e20
% 33.47/8.69 |
% 33.47/8.69 | Equations (986) can reduce 834 to:
% 33.47/8.69 | (401) $false
% 33.47/8.69 |
% 33.47/8.69 |-The branch is then unsatisfiable
% 33.47/8.69 |-Branch two:
% 33.47/8.69 | (834) ~ (all_0_105_105 = e20)
% 33.47/8.69 | (692) all_0_105_105 = e21
% 33.47/8.69 |
% 33.47/8.69 | Equations (692) can reduce 682 to:
% 33.47/8.69 | (488) ~ (e22 = e21)
% 33.47/8.69 |
% 33.47/8.69 | Simplifying 488 yields:
% 33.47/8.69 | (28) ~ (e22 = e21)
% 33.47/8.69 |
% 33.47/8.69 +-Applying beta-rule and splitting (536), into two cases.
% 33.47/8.69 |-Branch one:
% 33.47/8.69 | (537) all_0_105_105 = e22
% 33.47/8.69 |
% 33.47/8.69 | Combining equations (692,537) yields a new equation:
% 33.47/8.69 | (533) e22 = e21
% 33.47/8.69 |
% 33.47/8.69 | Equations (533) can reduce 28 to:
% 33.47/8.69 | (401) $false
% 33.47/8.69 |
% 33.47/8.69 |-The branch is then unsatisfiable
% 33.47/8.69 |-Branch two:
% 33.47/8.69 | (682) ~ (all_0_105_105 = e22)
% 33.47/8.69 | (683) all_0_106_106 = e22
% 33.47/8.69 |
% 33.47/8.69 | Combining equations (529,683) yields a new equation:
% 33.47/8.69 | (645) e22 = e20
% 33.47/8.69 |
% 33.47/8.69 | Equations (645) can reduce 304 to:
% 33.47/8.69 | (401) $false
% 33.47/8.69 |
% 33.47/8.69 |-The branch is then unsatisfiable
% 33.47/8.69 |-Branch two:
% 33.47/8.69 | (855) ~ (all_0_109_109 = e22)
% 33.47/8.69 | (1082) all_0_110_110 = e22
% 33.47/8.69 |
% 33.47/8.69 | Combining equations (375,1082) yields a new equation:
% 33.47/8.69 | (796) e23 = e22
% 33.47/8.69 |
% 33.47/8.69 | Simplifying 796 yields:
% 33.47/8.69 | (442) e23 = e22
% 33.47/8.69 |
% 33.47/8.69 | Equations (442) can reduce 108 to:
% 33.47/8.69 | (401) $false
% 33.47/8.69 |
% 33.47/8.69 |-The branch is then unsatisfiable
% 33.47/8.69 |-Branch two:
% 33.47/8.69 | (1086) ~ (all_0_101_101 = e20)
% 33.47/8.69 | (515) all_0_102_102 = e20
% 33.47/8.69 |
% 33.47/8.69 | Combining equations (544,515) yields a new equation:
% 33.47/8.69 | (644) e22 = e20
% 33.47/8.69 |
% 33.47/8.69 | Simplifying 644 yields:
% 33.47/8.69 | (645) e22 = e20
% 33.47/8.69 |
% 33.47/8.69 | Equations (645) can reduce 304 to:
% 33.47/8.69 | (401) $false
% 33.47/8.69 |
% 33.47/8.69 |-The branch is then unsatisfiable
% 33.47/8.69 |-Branch two:
% 33.47/8.69 | (1091) ~ (all_0_102_102 = e22)
% 33.47/8.69 | (1092) all_0_106_106 = e22 | all_0_110_110 = e22
% 33.47/8.69 |
% 33.47/8.69 +-Applying beta-rule and splitting (1092), into two cases.
% 33.47/8.69 |-Branch one:
% 33.47/8.69 | (683) all_0_106_106 = e22
% 33.47/8.69 |
% 33.47/8.69 | Equations (683) can reduce 227 to:
% 33.47/8.69 | (1091) ~ (all_0_102_102 = e22)
% 33.47/8.69 |
% 33.47/8.69 | Equations (683) can reduce 130 to:
% 33.47/8.69 | (471) ~ (all_0_104_104 = e22)
% 33.47/8.69 |
% 33.47/8.69 | Equations (683) can reduce 377 to:
% 33.47/8.69 | (805) ~ (e23 = e22)
% 33.47/8.69 |
% 33.47/8.69 | Simplifying 805 yields:
% 33.47/8.69 | (108) ~ (e23 = e22)
% 33.47/8.69 |
% 33.47/8.69 | From (683) and (191) follows:
% 33.47/8.69 | (1098) op2(e22, e20) = e22
% 33.47/8.69 |
% 33.47/8.69 +-Applying beta-rule and splitting (354), into two cases.
% 33.47/8.69 |-Branch one:
% 33.47/8.69 | (515) all_0_102_102 = e20
% 33.47/8.69 |
% 33.47/8.69 | Equations (515) can reduce 376 to:
% 33.47/8.69 | (452) ~ (e23 = e20)
% 33.47/8.69 |
% 33.47/8.69 | Simplifying 452 yields:
% 33.47/8.69 | (44) ~ (e23 = e20)
% 33.47/8.69 |
% 33.47/8.69 | Equations (515) can reduce 1091 to:
% 33.47/8.69 | (751) ~ (e22 = e20)
% 33.47/8.69 |
% 33.47/8.69 | Simplifying 751 yields:
% 33.47/8.69 | (304) ~ (e22 = e20)
% 33.47/8.69 |
% 33.47/8.69 | Equations (515) can reduce 308 to:
% 33.47/8.69 | (530) ~ (e21 = e20)
% 33.47/8.69 |
% 33.47/8.69 | Simplifying 530 yields:
% 33.47/8.69 | (280) ~ (e21 = e20)
% 33.47/8.69 |
% 33.47/8.69 +-Applying beta-rule and splitting (114), into two cases.
% 33.47/8.69 |-Branch one:
% 33.47/8.69 | (540) all_0_101_101 = e22
% 33.47/8.69 |
% 33.47/8.69 | Equations (540) can reduce 690 to:
% 33.47/8.69 | (28) ~ (e22 = e21)
% 33.47/8.69 |
% 33.47/8.69 | From (540) and (771) follows:
% 33.47/8.69 | (557) op2(e22, all_0_94_94) = all_0_14_14
% 33.47/8.69 |
% 33.47/8.69 | From (540)(540) and (770) follows:
% 33.47/8.69 | (556) op2(e22, e22) = all_0_10_10
% 33.47/8.69 |
% 33.47/8.69 | From (540) and (772) follows:
% 33.47/8.69 | (558) op2(e22, e23) = all_0_12_12
% 33.47/8.69 |
% 33.47/8.69 | From (540) and (773) follows:
% 33.47/8.69 | (1111) op2(e22, e21) = all_0_8_8
% 33.47/8.69 |
% 33.47/8.69 | From (540) and (777) follows:
% 33.47/8.69 | (565) op2(e23, e22) = all_0_94_94
% 33.47/8.69 |
% 33.47/8.69 | From (540) and (781) follows:
% 33.47/8.69 | (1113) op2(e21, e22) = all_0_2_2
% 33.47/8.69 |
% 33.47/8.69 +-Applying beta-rule and splitting (22), into two cases.
% 33.47/8.69 |-Branch one:
% 33.47/8.69 | (470) all_0_108_108 = e22
% 33.47/8.69 |
% 33.47/8.69 | Equations (470) can reduce 214 to:
% 33.47/8.69 | (471) ~ (all_0_104_104 = e22)
% 33.47/8.69 |
% 33.47/8.69 | Equations (470) can reduce 237 to:
% 33.47/8.69 | (304) ~ (e22 = e20)
% 33.47/8.69 |
% 33.47/8.69 | From (470) and (152) follows:
% 33.47/8.69 | (474) op2(e20, e22) = e22
% 33.47/8.69 |
% 33.47/8.69 +-Applying beta-rule and splitting (242), into two cases.
% 33.47/8.69 |-Branch one:
% 33.47/8.69 | (519) all_0_103_103 = e20
% 33.47/8.69 |
% 33.47/8.69 | Combining equations (413,519) yields a new equation:
% 33.47/8.69 | (520) e23 = e20
% 33.47/8.69 |
% 33.47/8.69 | Simplifying 520 yields:
% 33.47/8.69 | (521) e23 = e20
% 33.47/8.69 |
% 33.47/8.69 | Equations (521) can reduce 44 to:
% 33.47/8.69 | (401) $false
% 33.47/8.69 |
% 33.47/8.69 |-The branch is then unsatisfiable
% 33.47/8.69 |-Branch two:
% 33.47/8.69 | (523) ~ (all_0_103_103 = e20)
% 33.47/8.69 | (524) all_0_105_105 = e20 | all_0_106_106 = e20
% 33.47/8.69 |
% 33.47/8.69 +-Applying beta-rule and splitting (361), into two cases.
% 33.47/8.69 |-Branch one:
% 33.47/8.69 | (821) all_0_101_101 = e20
% 33.47/8.69 |
% 33.47/8.69 | Combining equations (540,821) yields a new equation:
% 33.47/8.69 | (644) e22 = e20
% 33.47/8.69 |
% 33.47/8.69 | Simplifying 644 yields:
% 33.47/8.69 | (645) e22 = e20
% 33.47/8.69 |
% 33.47/8.69 | Equations (645) can reduce 304 to:
% 33.47/8.69 | (401) $false
% 33.47/8.69 |
% 33.47/8.69 |-The branch is then unsatisfiable
% 33.47/8.69 |-Branch two:
% 33.47/8.69 | (1086) ~ (all_0_101_101 = e20)
% 33.47/8.69 | (1129) all_0_105_105 = e20 | all_0_109_109 = e20
% 33.47/8.69 |
% 33.47/8.69 | Equations (540) can reduce 1086 to:
% 33.47/8.69 | (304) ~ (e22 = e20)
% 33.47/8.69 |
% 33.47/8.69 +-Applying beta-rule and splitting (524), into two cases.
% 33.47/8.69 |-Branch one:
% 33.47/8.69 | (986) all_0_105_105 = e20
% 33.47/8.69 |
% 33.47/8.69 | Equations (986) can reduce 54 to:
% 33.47/8.69 | (161) ~ (all_0_104_104 = e20)
% 33.47/8.69 |
% 33.47/8.69 | Equations (986) can reduce 245 to:
% 33.47/8.69 | (822) ~ (all_0_109_109 = e20)
% 33.47/8.69 |
% 33.47/8.69 | Simplifying 822 yields:
% 33.47/8.69 | (715) ~ (all_0_109_109 = e20)
% 33.47/8.69 |
% 33.47/8.69 | From (986) and (61) follows:
% 33.47/8.69 | (1135) op2(e22, e21) = e20
% 33.47/8.69 |
% 33.47/8.69 +-Applying beta-rule and splitting (50), into two cases.
% 33.47/8.69 |-Branch one:
% 33.47/8.69 | (480) all_0_103_103 = e21
% 33.47/8.69 |
% 33.47/8.69 | Combining equations (413,480) yields a new equation:
% 33.47/8.69 | (481) e23 = e21
% 33.47/8.69 |
% 33.47/8.69 | Simplifying 481 yields:
% 33.47/8.69 | (482) e23 = e21
% 33.47/8.69 |
% 33.47/8.69 | Equations (482) can reduce 279 to:
% 33.47/8.69 | (401) $false
% 33.47/8.69 |
% 33.47/8.69 |-The branch is then unsatisfiable
% 33.47/8.69 |-Branch two:
% 33.47/8.69 | (484) ~ (all_0_103_103 = e21)
% 33.47/8.69 | (883) all_0_104_104 = e21 | all_0_105_105 = e21
% 33.47/8.69 |
% 33.47/8.69 +-Applying beta-rule and splitting (96), into two cases.
% 33.47/8.69 |-Branch one:
% 33.47/8.69 | (485) all_0_107_107 = e21
% 33.47/8.69 |
% 33.47/8.69 | Combining equations (485,460) yields a new equation:
% 33.47/8.69 | (646) e21 = e20
% 33.47/8.69 |
% 33.47/8.69 | Simplifying 646 yields:
% 33.47/8.69 | (476) e21 = e20
% 33.47/8.69 |
% 33.47/8.69 | Equations (476) can reduce 280 to:
% 33.47/8.69 | (401) $false
% 33.47/8.69 |
% 33.47/8.69 |-The branch is then unsatisfiable
% 33.47/8.69 |-Branch two:
% 33.47/8.69 | (709) ~ (all_0_107_107 = e21)
% 33.47/8.69 | (1147) all_0_108_108 = e21 | all_0_109_109 = e21
% 33.47/8.69 |
% 33.47/8.69 | Equations (460) can reduce 709 to:
% 33.47/8.69 | (530) ~ (e21 = e20)
% 33.47/8.69 |
% 33.47/8.69 | Simplifying 530 yields:
% 33.47/8.69 | (280) ~ (e21 = e20)
% 33.47/8.69 |
% 33.47/8.69 +-Applying beta-rule and splitting (137), into two cases.
% 33.47/8.69 |-Branch one:
% 33.47/8.69 | (526) all_0_101_101 = e21
% 33.47/8.69 |
% 33.47/8.69 | Combining equations (540,526) yields a new equation:
% 33.47/8.69 | (677) e22 = e21
% 33.47/8.69 |
% 33.47/8.69 | Simplifying 677 yields:
% 33.47/8.69 | (533) e22 = e21
% 33.47/8.69 |
% 33.47/8.69 | Equations (533) can reduce 28 to:
% 33.47/8.69 | (401) $false
% 33.47/8.69 |
% 33.47/8.69 |-The branch is then unsatisfiable
% 33.47/8.69 |-Branch two:
% 33.47/8.69 | (690) ~ (all_0_101_101 = e21)
% 33.47/8.69 | (691) all_0_105_105 = e21 | all_0_109_109 = e21
% 33.47/8.69 |
% 33.47/8.69 +-Applying beta-rule and splitting (691), into two cases.
% 33.47/8.69 |-Branch one:
% 33.47/8.69 | (692) all_0_105_105 = e21
% 33.47/8.69 |
% 33.47/8.69 | Combining equations (986,692) yields a new equation:
% 33.47/8.69 | (476) e21 = e20
% 33.47/8.69 |
% 33.47/8.69 | Equations (476) can reduce 280 to:
% 33.47/8.69 | (401) $false
% 33.47/8.69 |
% 33.47/8.69 |-The branch is then unsatisfiable
% 33.47/8.69 |-Branch two:
% 33.47/8.69 | (501) ~ (all_0_105_105 = e21)
% 33.47/8.69 | (695) all_0_109_109 = e21
% 33.47/8.69 |
% 33.47/8.69 | Equations (695) can reduce 715 to:
% 33.47/8.69 | (280) ~ (e21 = e20)
% 33.47/8.69 |
% 33.47/8.69 +-Applying beta-rule and splitting (883), into two cases.
% 33.47/8.69 |-Branch one:
% 33.47/8.69 | (499) all_0_104_104 = e21
% 33.47/8.69 |
% 33.47/8.69 | Equations (499) can reduce 471 to:
% 33.47/8.69 | (488) ~ (e22 = e21)
% 33.47/8.69 |
% 33.47/8.69 | Simplifying 488 yields:
% 33.47/8.69 | (28) ~ (e22 = e21)
% 33.47/8.69 |
% 33.47/8.69 | Equations (499) can reduce 161 to:
% 33.47/8.69 | (280) ~ (e21 = e20)
% 33.47/8.69 |
% 33.47/8.69 | From (499) and (181) follows:
% 33.47/8.69 | (510) op2(e21, all_0_96_96) = all_0_33_33
% 33.47/8.69 |
% 33.47/8.69 | From (499)(499) and (35) follows:
% 33.47/8.69 | (511) op2(e21, e21) = all_0_27_27
% 33.47/8.69 |
% 33.47/8.69 | From (499) and (86) follows:
% 33.47/8.69 | (512) op2(e21, e22) = all_0_31_31
% 33.47/8.69 |
% 33.47/8.69 | From (499) and (188) follows:
% 33.47/8.69 | (513) op2(e22, e21) = all_0_95_95
% 33.47/8.69 |
% 33.47/8.69 | From (499) and (16) follows:
% 33.47/8.69 | (514) op2(e22, e22) = e21
% 33.47/8.69 |
% 33.47/8.69 | Instantiating formula (312) with e23, e22, all_0_94_94, e23 and discharging atoms op2(e23, e22) = all_0_94_94, op2(e23, e22) = e23, yields:
% 33.47/8.69 | (576) all_0_94_94 = e23
% 33.47/8.69 |
% 33.47/8.69 | Instantiating formula (312) with e22, e23, all_0_12_12, e23 and discharging atoms op2(e22, e23) = all_0_12_12, op2(e22, e23) = e23, yields:
% 33.47/8.69 | (577) all_0_12_12 = e23
% 33.47/8.69 |
% 33.47/8.69 | Instantiating formula (312) with e22, e22, e21, all_0_10_10 and discharging atoms op2(e22, e22) = all_0_10_10, op2(e22, e22) = e21, yields:
% 33.47/8.69 | (1173) all_0_10_10 = e21
% 33.47/8.69 |
% 33.47/8.69 | Instantiating formula (312) with e22, e21, all_0_95_95, all_0_8_8 and discharging atoms op2(e22, e21) = all_0_8_8, op2(e22, e21) = all_0_95_95, yields:
% 33.47/8.70 | (1174) all_0_8_8 = all_0_95_95
% 33.47/8.70 |
% 33.47/8.70 | Instantiating formula (312) with e22, e21, e20, all_0_8_8 and discharging atoms op2(e22, e21) = all_0_8_8, op2(e22, e21) = e20, yields:
% 33.47/8.70 | (1175) all_0_8_8 = e20
% 33.47/8.70 |
% 33.47/8.70 | Instantiating formula (312) with e21, e22, all_0_2_2, e20 and discharging atoms op2(e21, e22) = all_0_2_2, op2(e21, e22) = e20, yields:
% 33.47/8.70 | (1176) all_0_2_2 = e20
% 33.47/8.70 |
% 33.47/8.70 | Instantiating formula (312) with e21, e22, all_0_31_31, all_0_2_2 and discharging atoms op2(e21, e22) = all_0_2_2, op2(e21, e22) = all_0_31_31, yields:
% 33.47/8.70 | (1177) all_0_2_2 = all_0_31_31
% 33.47/8.70 |
% 33.47/8.70 | Instantiating formula (312) with e21, e21, all_0_27_27, e23 and discharging atoms op2(e21, e21) = all_0_27_27, op2(e21, e21) = e23, yields:
% 33.47/8.70 | (550) all_0_27_27 = e23
% 33.47/8.70 |
% 33.47/8.70 | Combining equations (1176,1177) yields a new equation:
% 33.47/8.70 | (549) all_0_31_31 = e20
% 33.47/8.70 |
% 33.47/8.70 | Combining equations (1174,1175) yields a new equation:
% 33.47/8.70 | (1180) all_0_95_95 = e20
% 33.47/8.70 |
% 33.47/8.70 | Simplifying 1180 yields:
% 33.47/8.70 | (1181) all_0_95_95 = e20
% 33.47/8.70 |
% 33.47/8.70 | From (576)(576) and (323) follows:
% 33.47/8.70 | (597) op2(e23, e23) = all_0_25_25
% 33.47/8.70 |
% 33.47/8.70 | From (576) and (338) follows:
% 33.47/8.70 | (598) op2(e23, e23) = all_0_23_23
% 33.47/8.70 |
% 33.47/8.70 | From (1181)(1181) and (213) follows:
% 33.47/8.70 | (1184) op2(e20, e20) = all_0_37_37
% 33.47/8.70 |
% 33.47/8.70 | From (1181) and (68) follows:
% 33.47/8.70 | (1185) op2(e20, all_0_96_96) = all_0_41_41
% 33.47/8.70 |
% 33.47/8.70 | From (1181) and (332) follows:
% 33.47/8.70 | (1186) op2(e20, e22) = all_0_39_39
% 33.47/8.70 |
% 33.47/8.70 | From (576) and (287) follows:
% 33.47/8.70 | (602) op2(e23, e23) = all_0_18_18
% 33.47/8.70 |
% 33.47/8.70 | From (576) and (557) follows:
% 33.47/8.70 | (603) op2(e22, e23) = all_0_14_14
% 33.47/8.70 |
% 33.47/8.70 | From (1181) and (121) follows:
% 33.47/8.70 | (1189) op2(e22, e20) = all_0_96_96
% 33.47/8.70 |
% 33.47/8.70 | From (577) and (558) follows:
% 33.47/8.70 | (420) op2(e22, e23) = e23
% 33.47/8.70 |
% 33.47/8.70 | From (1173) and (556) follows:
% 33.47/8.70 | (514) op2(e22, e22) = e21
% 33.47/8.70 |
% 33.47/8.70 | From (576) and (736) follows:
% 33.47/8.70 | (1192) op2(e21, e23) = all_0_6_6
% 33.47/8.70 |
% 33.47/8.70 | From (549) and (512) follows:
% 33.47/8.70 | (151) op2(e21, e22) = e20
% 33.47/8.70 |
% 33.47/8.70 | From (550) and (511) follows:
% 33.47/8.70 | (224) op2(e21, e21) = e23
% 33.47/8.70 |
% 33.47/8.70 | Instantiating formula (312) with e23, e23, all_0_23_23, e21 and discharging atoms op2(e23, e23) = all_0_23_23, op2(e23, e23) = e21, yields:
% 33.47/8.70 | (1195) all_0_23_23 = e21
% 33.47/8.70 |
% 33.47/8.70 | Instantiating formula (312) with e23, e23, all_0_23_23, all_0_18_18 and discharging atoms op2(e23, e23) = all_0_18_18, op2(e23, e23) = all_0_23_23, yields:
% 33.47/8.70 | (614) all_0_18_18 = all_0_23_23
% 33.47/8.70 |
% 33.47/8.70 | Instantiating formula (312) with e23, e23, all_0_25_25, all_0_18_18 and discharging atoms op2(e23, e23) = all_0_18_18, op2(e23, e23) = all_0_25_25, yields:
% 33.47/8.70 | (615) all_0_18_18 = all_0_25_25
% 33.47/8.70 |
% 33.47/8.70 | Instantiating formula (312) with e22, e23, all_0_14_14, e23 and discharging atoms op2(e22, e23) = all_0_14_14, op2(e22, e23) = e23, yields:
% 33.47/8.70 | (616) all_0_14_14 = e23
% 33.47/8.70 |
% 33.47/8.70 | Instantiating formula (312) with e22, e20, all_0_96_96, e22 and discharging atoms op2(e22, e20) = all_0_96_96, op2(e22, e20) = e22, yields:
% 33.47/8.70 | (1199) all_0_96_96 = e22
% 33.47/8.70 |
% 33.47/8.70 | Instantiating formula (312) with e21, e23, all_0_6_6, e22 and discharging atoms op2(e21, e23) = all_0_6_6, op2(e21, e23) = e22, yields:
% 33.47/8.70 | (1200) all_0_6_6 = e22
% 33.47/8.70 |
% 33.47/8.70 | Instantiating formula (312) with e20, e22, all_0_39_39, e22 and discharging atoms op2(e20, e22) = all_0_39_39, op2(e20, e22) = e22, yields:
% 33.47/8.70 | (1201) all_0_39_39 = e22
% 33.47/8.70 |
% 33.47/8.70 | Instantiating formula (312) with e20, e20, all_0_37_37, e23 and discharging atoms op2(e20, e20) = all_0_37_37, op2(e20, e20) = e23, yields:
% 33.47/8.70 | (1202) all_0_37_37 = e23
% 33.47/8.70 |
% 33.47/8.70 | Combining equations (614,615) yields a new equation:
% 33.47/8.70 | (623) all_0_23_23 = all_0_25_25
% 33.47/8.70 |
% 33.47/8.70 | Simplifying 623 yields:
% 33.47/8.70 | (624) all_0_23_23 = all_0_25_25
% 33.47/8.70 |
% 33.47/8.70 | Combining equations (1195,624) yields a new equation:
% 33.47/8.70 | (1205) all_0_25_25 = e21
% 33.47/8.70 |
% 33.47/8.70 | From (1199)(1199) and (197) follows:
% 33.47/8.70 | (1206) op2(e22, e22) = all_0_52_52
% 33.47/8.70 |
% 33.47/8.70 | From (1199) and (141) follows:
% 33.47/8.70 | (1207) op2(e22, e22) = all_0_50_50
% 33.47/8.70 |
% 33.47/8.70 | From (1205) and (597) follows:
% 33.47/8.70 | (740) op2(e23, e23) = e21
% 33.47/8.70 |
% 33.47/8.70 | From (1199) and (113) follows:
% 33.47/8.70 | (1209) op2(e22, e22) = all_0_45_45
% 33.47/8.70 |
% 33.47/8.70 | From (616) and (603) follows:
% 33.47/8.70 | (420) op2(e22, e23) = e23
% 33.47/8.70 |
% 33.47/8.70 | From (1199) and (510) follows:
% 33.47/8.70 | (1211) op2(e21, e22) = all_0_33_33
% 33.47/8.70 |
% 33.47/8.70 | From (1200) and (1192) follows:
% 33.47/8.70 | (89) op2(e21, e23) = e22
% 33.47/8.70 |
% 33.47/8.70 | From (1199) and (1185) follows:
% 33.47/8.70 | (1213) op2(e20, e22) = all_0_41_41
% 33.47/8.70 |
% 33.47/8.70 | From (1201) and (1186) follows:
% 33.47/8.70 | (474) op2(e20, e22) = e22
% 33.47/8.70 |
% 33.47/8.70 | From (1202) and (1184) follows:
% 33.47/8.70 | (387) op2(e20, e20) = e23
% 33.47/8.70 |
% 33.47/8.70 | Instantiating formula (312) with e22, e22, all_0_45_45, e21 and discharging atoms op2(e22, e22) = all_0_45_45, op2(e22, e22) = e21, yields:
% 33.47/8.70 | (1216) all_0_45_45 = e21
% 33.47/8.70 |
% 33.47/8.70 | Instantiating formula (312) with e22, e22, all_0_50_50, all_0_45_45 and discharging atoms op2(e22, e22) = all_0_45_45, op2(e22, e22) = all_0_50_50, yields:
% 33.47/8.70 | (1217) all_0_45_45 = all_0_50_50
% 33.47/8.70 |
% 33.47/8.70 | Instantiating formula (312) with e22, e22, all_0_52_52, all_0_45_45 and discharging atoms op2(e22, e22) = all_0_45_45, op2(e22, e22) = all_0_52_52, yields:
% 33.47/8.70 | (1218) all_0_45_45 = all_0_52_52
% 33.47/8.70 |
% 33.47/8.70 | Instantiating formula (312) with e21, e22, all_0_33_33, e20 and discharging atoms op2(e21, e22) = all_0_33_33, op2(e21, e22) = e20, yields:
% 33.47/8.70 | (1219) all_0_33_33 = e20
% 33.47/8.70 |
% 33.47/8.70 | Instantiating formula (312) with e20, e22, all_0_41_41, e22 and discharging atoms op2(e20, e22) = all_0_41_41, op2(e20, e22) = e22, yields:
% 33.47/8.70 | (1220) all_0_41_41 = e22
% 33.47/8.70 |
% 33.47/8.70 | Combining equations (1218,1217) yields a new equation:
% 33.47/8.70 | (1221) all_0_50_50 = all_0_52_52
% 33.47/8.70 |
% 33.47/8.70 | Combining equations (1216,1217) yields a new equation:
% 33.47/8.70 | (1222) all_0_50_50 = e21
% 33.47/8.70 |
% 33.47/8.70 | Combining equations (1221,1222) yields a new equation:
% 33.47/8.70 | (1223) all_0_52_52 = e21
% 33.47/8.70 |
% 33.47/8.70 | Simplifying 1223 yields:
% 33.47/8.70 | (1224) all_0_52_52 = e21
% 33.47/8.70 |
% 33.47/8.70 | From (1224) and (1206) follows:
% 33.47/8.70 | (514) op2(e22, e22) = e21
% 33.47/8.70 |
% 33.47/8.70 | From (1219) and (1211) follows:
% 33.47/8.70 | (151) op2(e21, e22) = e20
% 33.47/8.70 |
% 33.47/8.70 | From (1220) and (1213) follows:
% 33.47/8.70 | (474) op2(e20, e22) = e22
% 33.47/8.70 |
% 33.47/8.70 +-Applying beta-rule and splitting (277), into two cases.
% 33.47/8.70 |-Branch one:
% 33.47/8.70 | (637) unit2 = e23
% 33.47/8.70 |
% 33.47/8.70 | From (637) and (38) follows:
% 33.47/8.70 | (638) op2(e23, e23) = e23
% 33.47/8.70 |
% 33.47/8.70 | From (637) and (334) follows:
% 33.47/8.70 | (639) op2(e22, e23) = e22
% 33.47/8.70 |
% 33.47/8.70 | Instantiating formula (312) with e23, e23, e23, e21 and discharging atoms op2(e23, e23) = e23, op2(e23, e23) = e21, yields:
% 33.47/8.70 | (482) e23 = e21
% 33.47/8.70 |
% 33.47/8.70 | Instantiating formula (312) with e22, e23, e22, e23 and discharging atoms op2(e22, e23) = e23, op2(e22, e23) = e22, yields:
% 33.47/8.70 | (442) e23 = e22
% 33.47/8.70 |
% 33.47/8.70 | Combining equations (442,482) yields a new equation:
% 33.47/8.70 | (677) e22 = e21
% 33.47/8.70 |
% 33.47/8.70 | Simplifying 677 yields:
% 33.47/8.70 | (533) e22 = e21
% 33.47/8.70 |
% 33.47/8.70 | Equations (533) can reduce 28 to:
% 33.47/8.70 | (401) $false
% 33.47/8.70 |
% 33.47/8.70 |-The branch is then unsatisfiable
% 33.47/8.70 |-Branch two:
% 33.47/8.70 | (649) ~ (unit2 = e23)
% 33.47/8.70 | (650) unit2 = e22 | unit2 = e21 | unit2 = e20
% 33.47/8.70 |
% 33.47/8.70 +-Applying beta-rule and splitting (650), into two cases.
% 33.47/8.70 |-Branch one:
% 33.47/8.70 | (651) unit2 = e22
% 33.47/8.70 |
% 33.47/8.70 | From (651) and (334) follows:
% 33.47/8.70 | (1239) op2(e22, e22) = e22
% 33.47/8.70 |
% 33.47/8.70 | From (651) and (202) follows:
% 33.47/8.70 | (653) op2(e20, e22) = e20
% 33.47/8.70 |
% 33.47/8.70 | Instantiating formula (312) with e22, e22, e22, e21 and discharging atoms op2(e22, e22) = e22, op2(e22, e22) = e21, yields:
% 33.47/8.70 | (533) e22 = e21
% 33.47/8.70 |
% 33.47/8.70 | Instantiating formula (312) with e20, e22, e20, e22 and discharging atoms op2(e20, e22) = e22, op2(e20, e22) = e20, yields:
% 33.47/8.70 | (645) e22 = e20
% 33.47/8.70 |
% 33.47/8.70 | Combining equations (645,533) yields a new equation:
% 33.47/8.70 | (476) e21 = e20
% 33.47/8.70 |
% 33.47/8.70 | Equations (476) can reduce 280 to:
% 33.47/8.70 | (401) $false
% 33.47/8.70 |
% 33.47/8.70 |-The branch is then unsatisfiable
% 33.47/8.70 |-Branch two:
% 33.47/8.70 | (658) ~ (unit2 = e22)
% 33.47/8.70 | (659) unit2 = e21 | unit2 = e20
% 33.47/8.70 |
% 33.47/8.70 +-Applying beta-rule and splitting (659), into two cases.
% 33.47/8.70 |-Branch one:
% 33.47/8.70 | (660) unit2 = e20
% 33.47/8.70 |
% 33.47/8.70 | Equations (660) can reduce 649 to:
% 33.47/8.70 | (452) ~ (e23 = e20)
% 33.47/8.70 |
% 33.47/8.70 | Simplifying 452 yields:
% 33.47/8.70 | (44) ~ (e23 = e20)
% 33.47/8.70 |
% 33.47/8.70 | From (660) and (202) follows:
% 33.47/8.70 | (662) op2(e20, e20) = e20
% 33.47/8.70 |
% 33.47/8.70 | Instantiating formula (312) with e20, e20, e20, e23 and discharging atoms op2(e20, e20) = e23, op2(e20, e20) = e20, yields:
% 33.47/8.70 | (521) e23 = e20
% 33.47/8.70 |
% 33.47/8.70 | Equations (521) can reduce 44 to:
% 33.47/8.70 | (401) $false
% 33.47/8.70 |
% 33.47/8.70 |-The branch is then unsatisfiable
% 33.47/8.70 |-Branch two:
% 33.47/8.70 | (668) ~ (unit2 = e20)
% 33.47/8.70 | (669) unit2 = e21
% 33.47/8.70 |
% 33.47/8.70 | Equations (669) can reduce 668 to:
% 33.47/8.70 | (280) ~ (e21 = e20)
% 33.47/8.70 |
% 33.47/8.70 | From (669) and (299) follows:
% 33.47/8.70 | (671) op2(e21, e23) = e23
% 33.47/8.70 |
% 33.47/8.70 | From (669) and (23) follows:
% 33.47/8.70 | (672) op2(e21, e22) = e22
% 33.47/8.70 |
% 33.47/8.70 | From (669) and (105) follows:
% 33.47/8.70 | (673) op2(e21, e21) = e21
% 33.47/8.70 |
% 33.47/8.70 | Instantiating formula (312) with e21, e23, e23, e22 and discharging atoms op2(e21, e23) = e23, op2(e21, e23) = e22, yields:
% 33.47/8.70 | (442) e23 = e22
% 33.47/8.71 |
% 33.47/8.71 | Instantiating formula (312) with e21, e22, e22, e20 and discharging atoms op2(e21, e22) = e22, op2(e21, e22) = e20, yields:
% 33.47/8.71 | (645) e22 = e20
% 33.47/8.71 |
% 33.47/8.71 | Instantiating formula (312) with e21, e21, e21, e23 and discharging atoms op2(e21, e21) = e23, op2(e21, e21) = e21, yields:
% 33.47/8.71 | (482) e23 = e21
% 33.47/8.71 |
% 33.47/8.71 | Combining equations (442,482) yields a new equation:
% 33.47/8.71 | (677) e22 = e21
% 33.47/8.71 |
% 33.47/8.71 | Simplifying 677 yields:
% 33.47/8.71 | (533) e22 = e21
% 33.47/8.71 |
% 33.47/8.71 | Combining equations (533,645) yields a new equation:
% 33.47/8.71 | (646) e21 = e20
% 33.47/8.71 |
% 33.47/8.71 | Simplifying 646 yields:
% 33.47/8.71 | (476) e21 = e20
% 33.47/8.71 |
% 33.47/8.71 | Equations (476) can reduce 280 to:
% 33.47/8.71 | (401) $false
% 33.47/8.71 |
% 33.47/8.71 |-The branch is then unsatisfiable
% 33.47/8.71 |-Branch two:
% 33.47/8.71 | (698) ~ (all_0_104_104 = e21)
% 33.47/8.71 | (692) all_0_105_105 = e21
% 33.47/8.71 |
% 33.47/8.71 | Combining equations (986,692) yields a new equation:
% 33.47/8.71 | (476) e21 = e20
% 33.47/8.71 |
% 33.47/8.71 | Equations (476) can reduce 280 to:
% 33.47/8.71 | (401) $false
% 33.47/8.71 |
% 33.47/8.71 |-The branch is then unsatisfiable
% 33.47/8.71 |-Branch two:
% 33.47/8.71 | (834) ~ (all_0_105_105 = e20)
% 33.47/8.71 | (529) all_0_106_106 = e20
% 33.47/8.71 |
% 33.47/8.71 | Combining equations (683,529) yields a new equation:
% 33.47/8.71 | (644) e22 = e20
% 33.47/8.71 |
% 33.47/8.71 | Simplifying 644 yields:
% 33.47/8.71 | (645) e22 = e20
% 33.47/8.71 |
% 33.47/8.71 | Equations (645) can reduce 304 to:
% 33.47/8.71 | (401) $false
% 33.47/8.71 |
% 33.47/8.71 |-The branch is then unsatisfiable
% 33.47/8.71 |-Branch two:
% 33.47/8.71 | (703) ~ (all_0_108_108 = e22)
% 33.47/8.71 | (704) all_0_109_109 = e22 | all_0_110_110 = e22
% 33.47/8.71 |
% 33.47/8.71 +-Applying beta-rule and splitting (800), into two cases.
% 33.47/8.71 |-Branch one:
% 33.47/8.71 | (532) all_0_104_104 = e22
% 33.47/8.71 |
% 33.47/8.71 | Equations (532) can reduce 471 to:
% 33.47/8.71 | (401) $false
% 33.47/8.71 |
% 33.47/8.71 |-The branch is then unsatisfiable
% 33.47/8.71 |-Branch two:
% 33.47/8.71 | (471) ~ (all_0_104_104 = e22)
% 33.47/8.71 | (470) all_0_108_108 = e22
% 33.47/8.71 |
% 33.47/8.71 | Equations (470) can reduce 703 to:
% 33.47/8.71 | (401) $false
% 33.47/8.71 |
% 33.47/8.71 |-The branch is then unsatisfiable
% 33.47/8.71 |-Branch two:
% 33.47/8.71 | (543) ~ (all_0_101_101 = e22)
% 33.47/8.71 | (1284) all_0_101_101 = e21 | all_0_101_101 = e20
% 33.47/8.71 |
% 33.47/8.71 +-Applying beta-rule and splitting (242), into two cases.
% 33.47/8.71 |-Branch one:
% 33.47/8.71 | (519) all_0_103_103 = e20
% 33.47/8.71 |
% 33.47/8.71 | Combining equations (413,519) yields a new equation:
% 33.47/8.71 | (520) e23 = e20
% 33.47/8.71 |
% 33.47/8.71 | Simplifying 520 yields:
% 33.47/8.71 | (521) e23 = e20
% 33.47/8.71 |
% 33.47/8.71 | Equations (521) can reduce 44 to:
% 33.47/8.71 | (401) $false
% 33.47/8.71 |
% 33.47/8.71 |-The branch is then unsatisfiable
% 33.47/8.71 |-Branch two:
% 33.47/8.71 | (523) ~ (all_0_103_103 = e20)
% 33.47/8.71 | (524) all_0_105_105 = e20 | all_0_106_106 = e20
% 33.47/8.71 |
% 33.47/8.71 +-Applying beta-rule and splitting (524), into two cases.
% 33.47/8.71 |-Branch one:
% 33.47/8.71 | (986) all_0_105_105 = e20
% 33.47/8.71 |
% 33.47/8.71 | Equations (986) can reduce 245 to:
% 33.47/8.71 | (822) ~ (all_0_109_109 = e20)
% 33.47/8.71 |
% 33.47/8.71 | Simplifying 822 yields:
% 33.47/8.71 | (715) ~ (all_0_109_109 = e20)
% 33.47/8.71 |
% 33.47/8.71 +-Applying beta-rule and splitting (50), into two cases.
% 33.47/8.71 |-Branch one:
% 33.47/8.71 | (480) all_0_103_103 = e21
% 33.47/8.71 |
% 33.47/8.71 | Combining equations (413,480) yields a new equation:
% 33.47/8.71 | (481) e23 = e21
% 33.47/8.71 |
% 33.47/8.71 | Simplifying 481 yields:
% 33.47/8.71 | (482) e23 = e21
% 33.47/8.71 |
% 33.47/8.71 | Equations (482) can reduce 279 to:
% 33.47/8.71 | (401) $false
% 33.47/8.71 |
% 33.47/8.71 |-The branch is then unsatisfiable
% 33.47/8.71 |-Branch two:
% 33.47/8.71 | (484) ~ (all_0_103_103 = e21)
% 33.47/8.71 | (883) all_0_104_104 = e21 | all_0_105_105 = e21
% 33.47/8.71 |
% 33.47/8.71 +-Applying beta-rule and splitting (137), into two cases.
% 33.47/8.71 |-Branch one:
% 33.47/8.71 | (526) all_0_101_101 = e21
% 33.47/8.71 |
% 33.47/8.71 | Equations (526) can reduce 690 to:
% 33.47/8.71 | (401) $false
% 33.47/8.71 |
% 33.47/8.71 |-The branch is then unsatisfiable
% 33.47/8.71 |-Branch two:
% 33.47/8.71 | (690) ~ (all_0_101_101 = e21)
% 33.47/8.71 | (691) all_0_105_105 = e21 | all_0_109_109 = e21
% 33.47/8.71 |
% 33.47/8.71 +-Applying beta-rule and splitting (691), into two cases.
% 33.47/8.71 |-Branch one:
% 33.47/8.71 | (692) all_0_105_105 = e21
% 33.47/8.71 |
% 33.47/8.71 | Combining equations (986,692) yields a new equation:
% 33.47/8.71 | (476) e21 = e20
% 33.47/8.71 |
% 33.47/8.71 | Equations (476) can reduce 280 to:
% 33.47/8.71 | (401) $false
% 33.47/8.71 |
% 33.47/8.71 |-The branch is then unsatisfiable
% 33.47/8.71 |-Branch two:
% 33.47/8.71 | (501) ~ (all_0_105_105 = e21)
% 33.47/8.71 | (695) all_0_109_109 = e21
% 33.47/8.71 |
% 33.47/8.71 | Equations (695) can reduce 715 to:
% 33.47/8.71 | (280) ~ (e21 = e20)
% 33.47/8.71 |
% 33.47/8.71 +-Applying beta-rule and splitting (22), into two cases.
% 33.47/8.71 |-Branch one:
% 33.47/8.71 | (470) all_0_108_108 = e22
% 33.47/8.71 |
% 33.47/8.71 | Equations (470) can reduce 237 to:
% 33.47/8.71 | (304) ~ (e22 = e20)
% 33.47/8.71 |
% 33.47/8.71 +-Applying beta-rule and splitting (290), into two cases.
% 33.47/8.71 |-Branch one:
% 33.47/8.71 | (540) all_0_101_101 = e22
% 33.47/8.71 |
% 33.47/8.71 | Equations (540) can reduce 543 to:
% 33.47/8.71 | (401) $false
% 33.47/8.71 |
% 33.47/8.71 |-The branch is then unsatisfiable
% 33.47/8.71 |-Branch two:
% 33.47/8.71 | (543) ~ (all_0_101_101 = e22)
% 33.47/8.71 | (1315) all_0_105_105 = e22 | all_0_109_109 = e22
% 33.47/8.71 |
% 33.47/8.71 +-Applying beta-rule and splitting (445), into two cases.
% 33.47/8.71 |-Branch one:
% 33.47/8.71 | (540) all_0_101_101 = e22
% 33.47/8.71 |
% 33.47/8.71 | Equations (540) can reduce 543 to:
% 33.47/8.71 | (401) $false
% 33.47/8.71 |
% 33.47/8.71 |-The branch is then unsatisfiable
% 33.47/8.71 |-Branch two:
% 33.47/8.71 | (543) ~ (all_0_101_101 = e22)
% 33.47/8.71 | (544) all_0_102_102 = e22
% 33.47/8.71 |
% 33.47/8.71 | Combining equations (515,544) yields a new equation:
% 33.47/8.71 | (645) e22 = e20
% 33.47/8.71 |
% 33.47/8.71 | Equations (645) can reduce 304 to:
% 33.47/8.71 | (401) $false
% 33.47/8.71 |
% 33.47/8.71 |-The branch is then unsatisfiable
% 33.47/8.71 |-Branch two:
% 33.47/8.71 | (703) ~ (all_0_108_108 = e22)
% 33.47/8.71 | (704) all_0_109_109 = e22 | all_0_110_110 = e22
% 33.47/8.71 |
% 33.47/8.71 +-Applying beta-rule and splitting (883), into two cases.
% 33.47/8.71 |-Branch one:
% 33.47/8.71 | (499) all_0_104_104 = e21
% 33.47/8.71 |
% 33.47/8.71 | Equations (499) can reduce 471 to:
% 33.47/8.71 | (488) ~ (e22 = e21)
% 33.47/8.71 |
% 33.47/8.71 | Simplifying 488 yields:
% 33.47/8.71 | (28) ~ (e22 = e21)
% 33.47/8.71 |
% 33.47/8.71 +-Applying beta-rule and splitting (704), into two cases.
% 33.47/8.71 |-Branch one:
% 33.47/8.71 | (857) all_0_109_109 = e22
% 33.47/8.71 |
% 33.47/8.71 | Combining equations (695,857) yields a new equation:
% 33.47/8.71 | (533) e22 = e21
% 33.47/8.71 |
% 33.47/8.71 | Equations (533) can reduce 28 to:
% 33.47/8.71 | (401) $false
% 33.47/8.71 |
% 33.47/8.71 |-The branch is then unsatisfiable
% 33.47/8.71 |-Branch two:
% 33.47/8.71 | (855) ~ (all_0_109_109 = e22)
% 33.47/8.71 | (1082) all_0_110_110 = e22
% 33.47/8.71 |
% 33.47/8.71 | Combining equations (1082,375) yields a new equation:
% 33.47/8.71 | (442) e23 = e22
% 33.47/8.71 |
% 33.47/8.71 | Equations (442) can reduce 108 to:
% 33.47/8.71 | (401) $false
% 33.47/8.71 |
% 33.47/8.71 |-The branch is then unsatisfiable
% 33.47/8.71 |-Branch two:
% 33.47/8.71 | (698) ~ (all_0_104_104 = e21)
% 33.47/8.71 | (692) all_0_105_105 = e21
% 33.47/8.71 |
% 33.47/8.71 | Combining equations (986,692) yields a new equation:
% 33.47/8.71 | (476) e21 = e20
% 33.47/8.71 |
% 33.47/8.71 | Equations (476) can reduce 280 to:
% 33.47/8.71 | (401) $false
% 33.47/8.71 |
% 33.47/8.71 |-The branch is then unsatisfiable
% 33.47/8.71 |-Branch two:
% 33.47/8.71 | (834) ~ (all_0_105_105 = e20)
% 33.47/8.71 | (529) all_0_106_106 = e20
% 33.47/8.71 |
% 33.47/8.71 | Combining equations (683,529) yields a new equation:
% 33.47/8.71 | (644) e22 = e20
% 33.47/8.71 |
% 33.47/8.71 | Simplifying 644 yields:
% 33.47/8.71 | (645) e22 = e20
% 33.47/8.71 |
% 33.47/8.71 | Equations (645) can reduce 304 to:
% 33.47/8.71 | (401) $false
% 33.47/8.71 |
% 33.47/8.71 |-The branch is then unsatisfiable
% 33.47/8.71 |-Branch two:
% 33.47/8.71 | (449) ~ (all_0_102_102 = e20)
% 33.47/8.71 | (518) all_0_106_106 = e20 | all_0_110_110 = e20
% 33.47/8.71 |
% 33.47/8.71 +-Applying beta-rule and splitting (518), into two cases.
% 33.47/8.71 |-Branch one:
% 33.47/8.71 | (529) all_0_106_106 = e20
% 33.47/8.71 |
% 33.47/8.71 | Combining equations (683,529) yields a new equation:
% 33.47/8.71 | (644) e22 = e20
% 33.47/8.71 |
% 33.47/8.71 | Simplifying 644 yields:
% 33.47/8.71 | (645) e22 = e20
% 33.47/8.71 |
% 33.47/8.71 | Equations (645) can reduce 304 to:
% 33.47/8.71 | (401) $false
% 33.47/8.71 |
% 33.47/8.71 |-The branch is then unsatisfiable
% 33.47/8.71 |-Branch two:
% 33.47/8.71 | (686) ~ (all_0_106_106 = e20)
% 33.47/8.71 | (687) all_0_110_110 = e20
% 33.47/8.71 |
% 33.47/8.71 | Combining equations (687,375) yields a new equation:
% 33.47/8.71 | (521) e23 = e20
% 33.47/8.71 |
% 33.47/8.71 | Equations (521) can reduce 44 to:
% 33.47/8.71 | (401) $false
% 33.47/8.71 |
% 33.47/8.71 |-The branch is then unsatisfiable
% 33.47/8.71 |-Branch two:
% 33.47/8.71 | (804) ~ (all_0_106_106 = e22)
% 33.47/8.71 | (1082) all_0_110_110 = e22
% 33.47/8.71 |
% 33.47/8.71 | Combining equations (375,1082) yields a new equation:
% 33.47/8.71 | (796) e23 = e22
% 33.47/8.71 |
% 33.47/8.71 | Simplifying 796 yields:
% 33.47/8.71 | (442) e23 = e22
% 33.47/8.71 |
% 33.47/8.71 | Equations (442) can reduce 108 to:
% 33.47/8.71 | (401) $false
% 33.47/8.71 |
% 33.47/8.71 |-The branch is then unsatisfiable
% 33.47/8.71 |-Branch two:
% 33.47/8.71 | (1358) ~ (all_0_103_103 = e23)
% 33.47/8.71 | (1359) all_0_104_104 = e23 | all_0_106_106 = e23
% 33.47/8.71 |
% 33.47/8.71 +-Applying beta-rule and splitting (1359), into two cases.
% 33.47/8.71 |-Branch one:
% 33.47/8.71 | (1360) all_0_104_104 = e23
% 33.47/8.71 |
% 33.47/8.71 | Equations (1360) can reduce 408 to:
% 33.47/8.71 | (401) $false
% 33.47/8.71 |
% 33.47/8.71 |-The branch is then unsatisfiable
% 33.47/8.71 |-Branch two:
% 33.47/8.71 | (408) ~ (all_0_104_104 = e23)
% 33.47/8.71 | (437) all_0_106_106 = e23
% 33.47/8.71 |
% 33.47/8.71 | Equations (437) can reduce 377 to:
% 33.47/8.71 | (401) $false
% 33.47/8.71 |
% 33.47/8.71 |-The branch is then unsatisfiable
% 33.47/8.71 |-Branch two:
% 33.47/8.71 | (1365) ~ (all_0_100_100 = e23)
% 33.47/8.71 | (429) all_0_102_102 = e23
% 33.47/8.71 |
% 33.47/8.71 | Equations (429) can reduce 376 to:
% 33.47/8.71 | (401) $false
% 33.47/8.71 |
% 33.47/8.71 |-The branch is then unsatisfiable
% 33.47/8.71 |-Branch two:
% 33.47/8.71 | (400) all_0_99_99 = e23
% 33.47/8.71 | (1369) ~ (all_0_104_104 = e23) | ~ (all_0_110_110 = e23)
% 33.47/8.71 |
% 33.47/8.71 | Equations (400) can reduce 156 to:
% 33.47/8.71 | (1370) ~ (all_0_103_103 = e23)
% 33.47/8.71 |
% 33.47/8.71 | Simplifying 1370 yields:
% 33.47/8.71 | (1358) ~ (all_0_103_103 = e23)
% 33.47/8.71 |
% 33.47/8.71 +-Applying beta-rule and splitting (1369), into two cases.
% 33.47/8.71 |-Branch one:
% 33.47/8.71 | (408) ~ (all_0_104_104 = e23)
% 33.47/8.71 |
% 33.47/8.71 +-Applying beta-rule and splitting (343), into two cases.
% 33.47/8.71 |-Branch one:
% 33.47/8.71 | (413) all_0_103_103 = e23
% 33.47/8.71 |
% 33.47/8.71 | Equations (413) can reduce 1358 to:
% 33.47/8.71 | (401) $false
% 33.47/8.71 |
% 33.47/8.71 |-The branch is then unsatisfiable
% 33.47/8.71 |-Branch two:
% 33.47/8.71 | (1358) ~ (all_0_103_103 = e23)
% 33.47/8.71 | (1359) all_0_104_104 = e23 | all_0_106_106 = e23
% 33.47/8.71 |
% 33.47/8.71 +-Applying beta-rule and splitting (1359), into two cases.
% 33.47/8.71 |-Branch one:
% 33.47/8.71 | (1360) all_0_104_104 = e23
% 33.47/8.71 |
% 33.47/8.71 | Equations (1360) can reduce 408 to:
% 33.47/8.71 | (401) $false
% 33.47/8.71 |
% 33.47/8.71 |-The branch is then unsatisfiable
% 33.47/8.71 |-Branch two:
% 33.47/8.71 | (408) ~ (all_0_104_104 = e23)
% 33.47/8.71 | (437) all_0_106_106 = e23
% 33.47/8.71 |
% 33.47/8.71 | Equations (437) can reduce 377 to:
% 33.47/8.71 | (401) $false
% 33.47/8.71 |
% 33.47/8.71 |-The branch is then unsatisfiable
% 33.47/8.71 |-Branch two:
% 33.47/8.71 | (1360) all_0_104_104 = e23
% 33.47/8.71 | (1383) ~ (all_0_110_110 = e23)
% 33.47/8.71 |
% 33.47/8.71 | Equations (375) can reduce 1383 to:
% 33.47/8.71 | (401) $false
% 33.47/8.71 |
% 33.47/8.71 |-The branch is then unsatisfiable
% 33.47/8.71 |-Branch two:
% 33.47/8.71 | (1383) ~ (all_0_110_110 = e23)
% 33.47/8.71 | (1386) all_0_110_110 = e22 | all_0_110_110 = e20
% 33.47/8.71 |
% 33.47/8.71 +-Applying beta-rule and splitting (87), into two cases.
% 33.47/8.71 |-Branch one:
% 33.47/8.71 | (429) all_0_102_102 = e23
% 33.47/8.71 |
% 33.47/8.71 | Equations (429) can reduce 31 to:
% 33.47/8.71 | (399) ~ (all_0_99_99 = e23)
% 33.47/8.71 |
% 33.47/8.71 | Equations (429) can reduce 5 to:
% 33.47/8.71 | (1365) ~ (all_0_100_100 = e23)
% 33.47/8.71 |
% 33.47/8.71 | Equations (429) can reduce 26 to:
% 33.47/8.71 | (3) ~ (all_0_101_101 = e23)
% 33.47/8.71 |
% 33.47/8.71 | Equations (429) can reduce 308 to:
% 33.47/8.71 | (279) ~ (e23 = e21)
% 33.47/8.71 |
% 33.47/8.71 | From (429) and (199) follows:
% 33.47/8.71 | (947) op2(e23, e20) = e23
% 33.47/8.71 |
% 33.47/8.71 +-Applying beta-rule and splitting (343), into two cases.
% 33.47/8.71 |-Branch one:
% 33.47/8.71 | (413) all_0_103_103 = e23
% 33.47/8.71 |
% 33.47/8.71 | Equations (413) can reduce 220 to:
% 33.47/8.71 | (407) ~ (all_0_104_104 = e23)
% 33.47/8.71 |
% 33.47/8.71 | Simplifying 407 yields:
% 33.47/8.71 | (408) ~ (all_0_104_104 = e23)
% 33.47/8.71 |
% 33.47/8.71 | Equations (413) can reduce 144 to:
% 33.47/8.71 | (1396) ~ (all_0_105_105 = e23)
% 33.47/8.71 |
% 33.47/8.71 | Simplifying 1396 yields:
% 33.47/8.71 | (355) ~ (all_0_105_105 = e23)
% 33.47/8.71 |
% 33.47/8.71 | Equations (413) can reduce 109 to:
% 33.47/8.71 | (415) ~ (all_0_106_106 = e23)
% 33.47/8.71 |
% 33.47/8.71 | Simplifying 415 yields:
% 33.47/8.71 | (377) ~ (all_0_106_106 = e23)
% 33.47/8.71 |
% 33.47/8.72 | Equations (413) can reduce 106 to:
% 33.47/8.72 | (108) ~ (e23 = e22)
% 33.47/8.72 |
% 33.47/8.72 | From (413) and (80) follows:
% 33.47/8.72 | (420) op2(e22, e23) = e23
% 33.47/8.72 |
% 33.47/8.72 +-Applying beta-rule and splitting (318), into two cases.
% 33.47/8.72 |-Branch one:
% 33.47/8.72 | (404) all_0_100_100 = e23
% 33.47/8.72 |
% 33.47/8.72 | Equations (404) can reduce 1365 to:
% 33.47/8.72 | (401) $false
% 33.47/8.72 |
% 33.47/8.72 |-The branch is then unsatisfiable
% 33.47/8.72 |-Branch two:
% 33.47/8.72 | (1365) ~ (all_0_100_100 = e23)
% 33.47/8.72 | (1405) all_0_104_104 = e23 | all_0_108_108 = e23
% 33.47/8.72 |
% 33.47/8.72 +-Applying beta-rule and splitting (1405), into two cases.
% 33.47/8.72 |-Branch one:
% 33.47/8.72 | (1360) all_0_104_104 = e23
% 33.47/8.72 |
% 33.47/8.72 | Equations (1360) can reduce 408 to:
% 33.47/8.72 | (401) $false
% 33.47/8.72 |
% 33.47/8.72 |-The branch is then unsatisfiable
% 33.47/8.72 |-Branch two:
% 33.47/8.72 | (408) ~ (all_0_104_104 = e23)
% 33.47/8.72 | (421) all_0_108_108 = e23
% 33.47/8.72 |
% 33.47/8.72 | Equations (421) can reduce 176 to:
% 33.47/8.72 | (1365) ~ (all_0_100_100 = e23)
% 33.47/8.72 |
% 33.47/8.72 | Equations (421) can reduce 214 to:
% 33.47/8.72 | (408) ~ (all_0_104_104 = e23)
% 33.47/8.72 |
% 33.47/8.72 | Equations (421) can reduce 221 to:
% 33.47/8.72 | (418) ~ (all_0_107_107 = e23)
% 33.47/8.72 |
% 33.47/8.72 | Equations (421) can reduce 237 to:
% 33.47/8.72 | (44) ~ (e23 = e20)
% 33.47/8.72 |
% 33.47/8.72 | From (421) and (152) follows:
% 33.47/8.72 | (1414) op2(e20, e22) = e23
% 33.47/8.72 |
% 33.47/8.72 +-Applying beta-rule and splitting (326), into two cases.
% 33.47/8.72 |-Branch one:
% 33.47/8.72 | (437) all_0_106_106 = e23
% 33.47/8.72 |
% 33.47/8.72 | Equations (437) can reduce 377 to:
% 33.47/8.72 | (401) $false
% 33.47/8.72 |
% 33.47/8.72 |-The branch is then unsatisfiable
% 33.47/8.72 |-Branch two:
% 33.47/8.72 | (377) ~ (all_0_106_106 = e23)
% 33.47/8.72 | (440) all_0_106_106 = e22 | all_0_106_106 = e20
% 33.47/8.72 |
% 33.47/8.72 +-Applying beta-rule and splitting (27), into two cases.
% 33.47/8.72 |-Branch one:
% 33.47/8.72 | (425) all_0_107_107 = e23
% 33.47/8.72 |
% 33.47/8.72 | Equations (425) can reduce 418 to:
% 33.47/8.72 | (401) $false
% 33.47/8.72 |
% 33.47/8.72 |-The branch is then unsatisfiable
% 33.47/8.72 |-Branch two:
% 33.47/8.72 | (418) ~ (all_0_107_107 = e23)
% 33.47/8.72 | (428) all_0_107_107 = e21 | all_0_107_107 = e20
% 33.47/8.72 |
% 33.47/8.72 +-Applying beta-rule and splitting (154), into two cases.
% 33.47/8.72 |-Branch one:
% 33.47/8.72 | (404) all_0_100_100 = e23
% 33.47/8.72 |
% 33.47/8.72 | Equations (404) can reduce 1365 to:
% 33.47/8.72 | (401) $false
% 33.47/8.72 |
% 33.47/8.72 |-The branch is then unsatisfiable
% 33.47/8.72 |-Branch two:
% 33.47/8.72 | (1365) ~ (all_0_100_100 = e23)
% 33.47/8.72 | (1426) all_0_100_100 = e22 | all_0_100_100 = e21
% 33.47/8.72 |
% 33.47/8.72 +-Applying beta-rule and splitting (90), into two cases.
% 33.47/8.72 |-Branch one:
% 33.47/8.72 | (1360) all_0_104_104 = e23
% 33.47/8.72 |
% 33.47/8.72 | Equations (1360) can reduce 408 to:
% 33.47/8.72 | (401) $false
% 33.47/8.72 |
% 33.47/8.72 |-The branch is then unsatisfiable
% 33.47/8.72 |-Branch two:
% 33.47/8.72 | (408) ~ (all_0_104_104 = e23)
% 33.47/8.72 | (1430) all_0_104_104 = e22 | all_0_104_104 = e21
% 33.47/8.72 |
% 33.47/8.72 +-Applying beta-rule and splitting (354), into two cases.
% 33.47/8.72 |-Branch one:
% 33.47/8.72 | (515) all_0_102_102 = e20
% 33.47/8.72 |
% 33.47/8.72 | Combining equations (515,429) yields a new equation:
% 33.47/8.72 | (521) e23 = e20
% 33.47/8.72 |
% 33.47/8.72 | Equations (521) can reduce 44 to:
% 33.47/8.72 | (401) $false
% 33.47/8.72 |
% 33.47/8.72 |-The branch is then unsatisfiable
% 33.47/8.72 |-Branch two:
% 33.47/8.72 | (449) ~ (all_0_102_102 = e20)
% 33.47/8.72 | (518) all_0_106_106 = e20 | all_0_110_110 = e20
% 33.47/8.72 |
% 33.47/8.72 | Equations (429) can reduce 449 to:
% 33.47/8.72 | (44) ~ (e23 = e20)
% 33.47/8.72 |
% 33.47/8.72 +-Applying beta-rule and splitting (22), into two cases.
% 33.47/8.72 |-Branch one:
% 33.47/8.72 | (470) all_0_108_108 = e22
% 33.47/8.72 |
% 33.47/8.72 | Combining equations (470,421) yields a new equation:
% 33.47/8.72 | (442) e23 = e22
% 33.47/8.72 |
% 33.47/8.72 | Equations (442) can reduce 108 to:
% 33.47/8.72 | (401) $false
% 33.47/8.72 |
% 33.47/8.72 |-The branch is then unsatisfiable
% 33.47/8.72 |-Branch two:
% 33.47/8.72 | (703) ~ (all_0_108_108 = e22)
% 33.47/8.72 | (704) all_0_109_109 = e22 | all_0_110_110 = e22
% 33.47/8.72 |
% 33.47/8.72 | Equations (421) can reduce 703 to:
% 33.47/8.72 | (108) ~ (e23 = e22)
% 33.47/8.72 |
% 33.47/8.72 +-Applying beta-rule and splitting (218), into two cases.
% 33.47/8.72 |-Branch one:
% 33.47/8.72 | (544) all_0_102_102 = e22
% 33.47/8.72 |
% 33.47/8.72 | Combining equations (544,429) yields a new equation:
% 33.47/8.72 | (442) e23 = e22
% 33.47/8.72 |
% 33.47/8.72 | Equations (442) can reduce 108 to:
% 33.47/8.72 | (401) $false
% 33.47/8.72 |
% 33.47/8.72 |-The branch is then unsatisfiable
% 33.47/8.72 |-Branch two:
% 33.47/8.72 | (1091) ~ (all_0_102_102 = e22)
% 33.47/8.72 | (1092) all_0_106_106 = e22 | all_0_110_110 = e22
% 33.47/8.72 |
% 33.47/8.72 | Equations (429) can reduce 1091 to:
% 33.47/8.72 | (108) ~ (e23 = e22)
% 33.47/8.72 |
% 33.47/8.72 +-Applying beta-rule and splitting (242), into two cases.
% 33.47/8.72 |-Branch one:
% 33.47/8.72 | (519) all_0_103_103 = e20
% 33.47/8.72 |
% 33.47/8.72 | Combining equations (413,519) yields a new equation:
% 33.47/8.72 | (520) e23 = e20
% 33.47/8.72 |
% 33.47/8.72 | Simplifying 520 yields:
% 33.47/8.72 | (521) e23 = e20
% 33.47/8.72 |
% 33.47/8.72 | Equations (521) can reduce 44 to:
% 33.47/8.72 | (401) $false
% 33.47/8.72 |
% 33.47/8.72 |-The branch is then unsatisfiable
% 33.47/8.72 |-Branch two:
% 33.47/8.72 | (523) ~ (all_0_103_103 = e20)
% 33.47/8.72 | (524) all_0_105_105 = e20 | all_0_106_106 = e20
% 33.47/8.72 |
% 33.47/8.72 | Equations (413) can reduce 523 to:
% 33.47/8.72 | (44) ~ (e23 = e20)
% 33.47/8.72 |
% 33.47/8.72 +-Applying beta-rule and splitting (116), into two cases.
% 33.47/8.72 |-Branch one:
% 33.47/8.72 | (441) all_0_100_100 = e22
% 33.47/8.72 |
% 33.47/8.72 | Equations (441) can reduce 83 to:
% 33.47/8.72 | (132) ~ (all_0_99_99 = e22)
% 33.47/8.72 |
% 33.47/8.72 | Equations (441) can reduce 75 to:
% 33.47/8.72 | (1458) ~ (all_0_101_101 = e22)
% 33.47/8.72 |
% 33.47/8.72 | Simplifying 1458 yields:
% 33.47/8.72 | (543) ~ (all_0_101_101 = e22)
% 33.47/8.72 |
% 33.47/8.72 | Equations (441) can reduce 48 to:
% 33.47/8.72 | (1460) ~ (all_0_104_104 = e22)
% 33.47/8.72 |
% 33.47/8.72 | Simplifying 1460 yields:
% 33.47/8.72 | (471) ~ (all_0_104_104 = e22)
% 33.47/8.72 |
% 33.47/8.72 | From (441) and (230) follows:
% 33.47/8.72 | (1462) op2(e23, e22) = e22
% 33.47/8.72 |
% 33.47/8.72 +-Applying beta-rule and splitting (283), into two cases.
% 33.47/8.72 |-Branch one:
% 33.47/8.72 | (494) all_0_100_100 = e21
% 33.47/8.72 |
% 33.47/8.72 | Combining equations (441,494) yields a new equation:
% 33.47/8.72 | (677) e22 = e21
% 33.47/8.72 |
% 33.47/8.72 | Simplifying 677 yields:
% 33.47/8.72 | (533) e22 = e21
% 33.47/8.72 |
% 33.47/8.72 | Equations (533) can reduce 28 to:
% 33.47/8.72 | (401) $false
% 33.47/8.72 |
% 33.47/8.72 |-The branch is then unsatisfiable
% 33.47/8.72 |-Branch two:
% 33.47/8.72 | (497) ~ (all_0_100_100 = e21)
% 33.47/8.72 | (498) all_0_104_104 = e21 | all_0_108_108 = e21
% 33.47/8.72 |
% 33.47/8.72 +-Applying beta-rule and splitting (498), into two cases.
% 33.47/8.72 |-Branch one:
% 33.47/8.72 | (499) all_0_104_104 = e21
% 33.47/8.72 |
% 33.47/8.72 | Equations (499) can reduce 130 to:
% 33.47/8.72 | (502) ~ (all_0_106_106 = e21)
% 33.47/8.72 |
% 33.47/8.72 | Simplifying 502 yields:
% 33.47/8.72 | (358) ~ (all_0_106_106 = e21)
% 33.47/8.72 |
% 33.47/8.72 | Equations (499) can reduce 408 to:
% 33.47/8.72 | (486) ~ (e23 = e21)
% 33.47/8.72 |
% 33.47/8.72 | Simplifying 486 yields:
% 33.47/8.72 | (279) ~ (e23 = e21)
% 33.47/8.72 |
% 33.47/8.72 | Equations (499) can reduce 471 to:
% 33.47/8.72 | (488) ~ (e22 = e21)
% 33.47/8.72 |
% 33.47/8.72 | Simplifying 488 yields:
% 33.47/8.72 | (28) ~ (e22 = e21)
% 33.47/8.72 |
% 33.47/8.72 | Equations (499) can reduce 161 to:
% 33.47/8.72 | (280) ~ (e21 = e20)
% 33.47/8.72 |
% 33.47/8.72 | From (499) and (212) follows:
% 33.47/8.72 | (507) op2(all_0_95_95, e21) = all_0_35_35
% 33.47/8.72 |
% 33.47/8.72 | From (499) and (349) follows:
% 33.47/8.72 | (508) op2(all_0_96_96, e21) = all_0_46_46
% 33.47/8.72 |
% 33.47/8.72 | From (499) and (42) follows:
% 33.47/8.72 | (509) op2(e21, all_0_95_95) = all_0_29_29
% 33.47/8.72 |
% 33.47/8.72 | From (499) and (181) follows:
% 33.47/8.72 | (510) op2(e21, all_0_96_96) = all_0_33_33
% 33.47/8.72 |
% 33.47/8.72 | From (499)(499) and (35) follows:
% 33.47/8.72 | (511) op2(e21, e21) = all_0_27_27
% 33.47/8.72 |
% 33.47/8.72 | From (499) and (86) follows:
% 33.47/8.72 | (512) op2(e21, e22) = all_0_31_31
% 33.47/8.72 |
% 33.47/8.72 | From (499) and (188) follows:
% 33.47/8.72 | (513) op2(e22, e21) = all_0_95_95
% 33.47/8.72 |
% 33.47/8.72 | From (499) and (16) follows:
% 33.47/8.72 | (514) op2(e22, e22) = e21
% 33.47/8.72 |
% 33.47/8.72 | Instantiating formula (312) with e22, e21, all_0_95_95, all_0_105_105 and discharging atoms op2(e22, e21) = all_0_95_95, op2(e22, e21) = all_0_105_105, yields:
% 33.47/8.72 | (1485) all_0_95_95 = all_0_105_105
% 33.47/8.72 |
% 33.47/8.72 | Instantiating formula (312) with e21, e22, all_0_31_31, e20 and discharging atoms op2(e21, e22) = all_0_31_31, op2(e21, e22) = e20, yields:
% 33.47/8.72 | (549) all_0_31_31 = e20
% 33.47/8.72 |
% 33.47/8.72 | Instantiating formula (312) with e21, e21, all_0_27_27, e23 and discharging atoms op2(e21, e21) = all_0_27_27, op2(e21, e21) = e23, yields:
% 33.47/8.72 | (550) all_0_27_27 = e23
% 33.47/8.72 |
% 33.47/8.72 | From (1485)(1485) and (213) follows:
% 33.47/8.72 | (1488) op2(all_0_105_105, all_0_105_105) = all_0_37_37
% 33.47/8.72 |
% 33.47/8.72 | From (1485) and (68) follows:
% 33.47/8.72 | (1489) op2(all_0_105_105, all_0_96_96) = all_0_41_41
% 33.47/8.72 |
% 33.47/8.72 | From (1485) and (332) follows:
% 33.47/8.72 | (1490) op2(all_0_105_105, e22) = all_0_39_39
% 33.47/8.72 |
% 33.47/8.72 | From (1485) and (507) follows:
% 33.47/8.72 | (1491) op2(all_0_105_105, e21) = all_0_35_35
% 33.47/8.72 |
% 33.47/8.72 | From (1485) and (121) follows:
% 33.47/8.72 | (1492) op2(e22, all_0_105_105) = all_0_96_96
% 33.47/8.72 |
% 33.47/8.72 | From (1485) and (513) follows:
% 33.47/8.72 | (61) op2(e22, e21) = all_0_105_105
% 33.47/8.72 |
% 33.47/8.72 | From (1485) and (509) follows:
% 33.47/8.72 | (1494) op2(e21, all_0_105_105) = all_0_29_29
% 33.47/8.72 |
% 33.47/8.72 | From (549) and (512) follows:
% 33.47/8.72 | (151) op2(e21, e22) = e20
% 33.47/8.72 |
% 33.47/8.72 | From (550) and (511) follows:
% 33.47/8.72 | (224) op2(e21, e21) = e23
% 33.47/8.72 |
% 33.47/8.72 +-Applying beta-rule and splitting (266), into two cases.
% 33.47/8.72 |-Branch one:
% 33.47/8.72 | (447) all_0_99_99 = e20
% 33.47/8.72 |
% 33.47/8.72 | Equations (447) can reduce 184 to:
% 33.47/8.72 | (1498) ~ (all_0_101_101 = e20)
% 33.47/8.72 |
% 33.47/8.72 | Simplifying 1498 yields:
% 33.47/8.72 | (1086) ~ (all_0_101_101 = e20)
% 33.47/8.72 |
% 33.47/8.72 | Equations (447) can reduce 4 to:
% 33.47/8.72 | (450) ~ (all_0_107_107 = e20)
% 33.47/8.72 |
% 33.47/8.72 | Simplifying 450 yields:
% 33.47/8.72 | (451) ~ (all_0_107_107 = e20)
% 33.47/8.72 |
% 33.47/8.72 | Equations (447) can reduce 132 to:
% 33.47/8.72 | (751) ~ (e22 = e20)
% 33.47/8.72 |
% 33.47/8.72 | Simplifying 751 yields:
% 33.47/8.72 | (304) ~ (e22 = e20)
% 33.47/8.72 |
% 33.47/8.72 | From (447) and (39) follows:
% 33.47/8.72 | (1504) op2(all_0_93_93, e20) = all_0_8_8
% 33.47/8.72 |
% 33.47/8.72 | From (447) and (11) follows:
% 33.47/8.72 | (1505) op2(all_0_94_94, e20) = all_0_19_19
% 33.47/8.72 |
% 33.47/8.72 | From (447) and (150) follows:
% 33.47/8.72 | (454) op2(e20, all_0_93_93) = all_0_2_2
% 33.47/8.72 |
% 33.47/8.72 | From (447) and (40) follows:
% 33.47/8.72 | (455) op2(e20, all_0_94_94) = all_0_6_6
% 33.47/8.72 |
% 33.47/8.72 | From (447)(447) and (292) follows:
% 33.47/8.72 | (456) op2(e20, e20) = all_0_0_0
% 33.47/8.72 |
% 33.47/8.72 | From (447) and (344) follows:
% 33.47/8.72 | (457) op2(e20, e23) = all_0_4_4
% 33.47/8.72 |
% 33.47/8.72 | From (447) and (79) follows:
% 33.47/8.72 | (458) op2(e23, e20) = all_0_93_93
% 33.47/8.72 |
% 33.47/8.72 | From (447) and (209) follows:
% 33.47/8.72 | (459) op2(e23, e23) = e20
% 33.47/8.72 |
% 33.47/8.72 +-Applying beta-rule and splitting (114), into two cases.
% 33.47/8.72 |-Branch one:
% 33.47/8.72 | (540) all_0_101_101 = e22
% 33.47/8.72 |
% 33.47/8.72 | Equations (540) can reduce 543 to:
% 33.47/8.72 | (401) $false
% 33.47/8.72 |
% 33.47/8.72 |-The branch is then unsatisfiable
% 33.47/8.72 |-Branch two:
% 33.47/8.72 | (543) ~ (all_0_101_101 = e22)
% 33.47/8.72 | (1284) all_0_101_101 = e21 | all_0_101_101 = e20
% 33.47/8.72 |
% 33.47/8.72 +-Applying beta-rule and splitting (247), into two cases.
% 33.47/8.72 |-Branch one:
% 33.47/8.72 | (475) all_0_99_99 = e21
% 33.47/8.72 |
% 33.47/8.72 | Combining equations (447,475) yields a new equation:
% 33.47/8.72 | (476) e21 = e20
% 33.47/8.72 |
% 33.47/8.72 | Equations (476) can reduce 280 to:
% 33.47/8.72 | (401) $false
% 33.47/8.72 |
% 33.47/8.72 |-The branch is then unsatisfiable
% 33.47/8.72 |-Branch two:
% 33.47/8.72 | (478) ~ (all_0_99_99 = e21)
% 33.47/8.72 | (479) all_0_103_103 = e21 | all_0_107_107 = e21
% 33.47/8.72 |
% 33.47/8.72 +-Applying beta-rule and splitting (479), into two cases.
% 33.47/8.72 |-Branch one:
% 33.47/8.72 | (480) all_0_103_103 = e21
% 33.47/8.72 |
% 33.47/8.72 | Combining equations (480,413) yields a new equation:
% 33.47/8.72 | (482) e23 = e21
% 33.47/8.72 |
% 33.47/8.72 | Equations (482) can reduce 279 to:
% 33.47/8.72 | (401) $false
% 33.47/8.72 |
% 33.47/8.72 |-The branch is then unsatisfiable
% 33.47/8.72 |-Branch two:
% 33.47/8.72 | (484) ~ (all_0_103_103 = e21)
% 33.47/8.72 | (485) all_0_107_107 = e21
% 33.47/8.72 |
% 33.47/8.72 | Equations (485) can reduce 353 to:
% 33.47/8.72 | (1526) ~ (all_0_110_110 = e21)
% 33.47/8.72 |
% 33.47/8.72 | Simplifying 1526 yields:
% 33.47/8.72 | (58) ~ (all_0_110_110 = e21)
% 33.47/8.72 |
% 33.47/8.72 | Equations (485) can reduce 195 to:
% 33.47/8.72 | (488) ~ (e22 = e21)
% 33.47/8.72 |
% 33.47/8.72 | Simplifying 488 yields:
% 33.47/8.72 | (28) ~ (e22 = e21)
% 33.47/8.72 |
% 33.47/8.72 | Equations (485) can reduce 451 to:
% 33.47/8.72 | (280) ~ (e21 = e20)
% 33.47/8.72 |
% 33.47/8.72 | From (485) and (120) follows:
% 33.47/8.72 | (493) op2(e20, e23) = e21
% 33.47/8.72 |
% 33.47/8.72 +-Applying beta-rule and splitting (98), into two cases.
% 33.47/8.72 |-Branch one:
% 33.47/8.72 | (475) all_0_99_99 = e21
% 33.47/8.72 |
% 33.47/8.72 | Combining equations (447,475) yields a new equation:
% 33.47/8.72 | (476) e21 = e20
% 33.47/8.72 |
% 33.47/8.72 | Equations (476) can reduce 280 to:
% 33.47/8.72 | (401) $false
% 33.47/8.72 |
% 33.47/8.72 |-The branch is then unsatisfiable
% 33.47/8.72 |-Branch two:
% 33.47/8.72 | (478) ~ (all_0_99_99 = e21)
% 33.47/8.73 | (1536) all_0_100_100 = e21 | all_0_101_101 = e21
% 33.47/8.73 |
% 33.47/8.73 +-Applying beta-rule and splitting (137), into two cases.
% 33.47/8.73 |-Branch one:
% 33.47/8.73 | (526) all_0_101_101 = e21
% 33.47/8.73 |
% 33.47/8.73 | Equations (526) can reduce 178 to:
% 33.47/8.73 | (500) ~ (all_0_105_105 = e21)
% 33.47/8.73 |
% 33.47/8.73 | Simplifying 500 yields:
% 33.47/8.73 | (501) ~ (all_0_105_105 = e21)
% 33.47/8.73 |
% 33.47/8.73 | Equations (526) can reduce 146 to:
% 33.47/8.73 | (1540) ~ (all_0_109_109 = e21)
% 33.47/8.73 |
% 33.47/8.73 | Simplifying 1540 yields:
% 33.47/8.73 | (1541) ~ (all_0_109_109 = e21)
% 33.47/8.73 |
% 33.47/8.73 | Equations (526) can reduce 543 to:
% 33.47/8.73 | (488) ~ (e22 = e21)
% 33.47/8.73 |
% 33.47/8.73 | Simplifying 488 yields:
% 33.47/8.73 | (28) ~ (e22 = e21)
% 33.47/8.73 |
% 33.47/8.73 | Equations (526) can reduce 1086 to:
% 33.47/8.73 | (280) ~ (e21 = e20)
% 33.47/8.73 |
% 33.47/8.73 | Instantiating formula (312) with e23, e20, all_0_93_93, e23 and discharging atoms op2(e23, e20) = all_0_93_93, op2(e23, e20) = e23, yields:
% 33.47/8.73 | (1545) all_0_93_93 = e23
% 33.47/8.73 |
% 33.47/8.73 | Instantiating formula (312) with e20, e23, e21, all_0_4_4 and discharging atoms op2(e20, e23) = all_0_4_4, op2(e20, e23) = e21, yields:
% 33.47/8.73 | (552) all_0_4_4 = e21
% 33.47/8.73 |
% 33.47/8.73 | Instantiating formula (312) with e20, e20, all_0_0_0, all_0_110_110 and discharging atoms op2(e20, e20) = all_0_0_0, op2(e20, e20) = all_0_110_110, yields:
% 33.47/8.73 | (1547) all_0_0_0 = all_0_110_110
% 33.47/8.73 |
% 33.47/8.73 | From (1545)(1545) and (103) follows:
% 33.47/8.73 | (1548) op2(e23, e23) = all_0_10_10
% 33.47/8.73 |
% 33.47/8.73 | From (1545) and (81) follows:
% 33.47/8.73 | (1549) op2(e23, e23) = all_0_12_12
% 33.47/8.73 |
% 33.47/8.73 | From (1545) and (1504) follows:
% 33.47/8.73 | (1550) op2(e23, e20) = all_0_8_8
% 33.47/8.73 |
% 33.47/8.73 | From (1545) and (190) follows:
% 33.47/8.73 | (1551) op2(e23, e23) = all_0_94_94
% 33.47/8.73 |
% 33.47/8.73 | From (1545) and (458) follows:
% 33.47/8.73 | (947) op2(e23, e20) = e23
% 33.47/8.73 |
% 33.47/8.73 | From (1545) and (454) follows:
% 33.47/8.73 | (1553) op2(e20, e23) = all_0_2_2
% 33.47/8.73 |
% 33.47/8.73 | From (552) and (457) follows:
% 33.47/8.73 | (493) op2(e20, e23) = e21
% 33.47/8.73 |
% 33.47/8.73 | From (1547) and (456) follows:
% 33.47/8.73 | (340) op2(e20, e20) = all_0_110_110
% 33.47/8.73 |
% 33.47/8.73 | Instantiating formula (312) with e23, e23, all_0_10_10, e20 and discharging atoms op2(e23, e23) = all_0_10_10, op2(e23, e23) = e20, yields:
% 33.47/8.73 | (1556) all_0_10_10 = e20
% 33.47/8.73 |
% 33.47/8.73 | Instantiating formula (312) with e23, e23, all_0_12_12, all_0_10_10 and discharging atoms op2(e23, e23) = all_0_10_10, op2(e23, e23) = all_0_12_12, yields:
% 33.47/8.73 | (1557) all_0_10_10 = all_0_12_12
% 33.47/8.73 |
% 33.47/8.73 | Instantiating formula (312) with e23, e23, all_0_94_94, all_0_10_10 and discharging atoms op2(e23, e23) = all_0_10_10, op2(e23, e23) = all_0_94_94, yields:
% 33.47/8.73 | (1558) all_0_10_10 = all_0_94_94
% 33.47/8.73 |
% 33.47/8.73 | Instantiating formula (312) with e23, e20, all_0_8_8, e23 and discharging atoms op2(e23, e20) = all_0_8_8, op2(e23, e20) = e23, yields:
% 33.47/8.73 | (1559) all_0_8_8 = e23
% 33.47/8.73 |
% 33.47/8.73 | Instantiating formula (312) with e20, e23, all_0_2_2, e21 and discharging atoms op2(e20, e23) = all_0_2_2, op2(e20, e23) = e21, yields:
% 33.47/8.73 | (1560) all_0_2_2 = e21
% 33.47/8.73 |
% 33.47/8.73 | Combining equations (1558,1557) yields a new equation:
% 33.47/8.73 | (1561) all_0_12_12 = all_0_94_94
% 33.47/8.73 |
% 33.47/8.73 | Combining equations (1556,1557) yields a new equation:
% 33.47/8.73 | (1562) all_0_12_12 = e20
% 33.47/8.73 |
% 33.47/8.73 | Combining equations (1562,1561) yields a new equation:
% 33.47/8.73 | (1563) all_0_94_94 = e20
% 33.47/8.73 |
% 33.47/8.73 | From (1563)(1563) and (323) follows:
% 33.47/8.73 | (1564) op2(e20, e20) = all_0_25_25
% 33.47/8.73 |
% 33.47/8.73 | From (1563) and (338) follows:
% 33.47/8.73 | (1565) op2(e20, e23) = all_0_23_23
% 33.47/8.73 |
% 33.47/8.73 | From (1563) and (1505) follows:
% 33.47/8.73 | (1566) op2(e20, e20) = all_0_19_19
% 33.47/8.73 |
% 33.47/8.73 | From (1563) and (287) follows:
% 33.47/8.73 | (1567) op2(e23, e20) = all_0_18_18
% 33.47/8.73 |
% 33.47/8.73 | From (1559) and (1550) follows:
% 33.47/8.73 | (947) op2(e23, e20) = e23
% 33.47/8.73 |
% 33.47/8.73 | From (1563) and (455) follows:
% 33.47/8.73 | (1569) op2(e20, e20) = all_0_6_6
% 33.47/8.73 |
% 33.47/8.73 | From (1560) and (1553) follows:
% 33.47/8.73 | (493) op2(e20, e23) = e21
% 33.47/8.73 |
% 33.47/8.73 | Instantiating formula (312) with e23, e20, all_0_18_18, e23 and discharging atoms op2(e23, e20) = all_0_18_18, op2(e23, e20) = e23, yields:
% 33.47/8.73 | (1571) all_0_18_18 = e23
% 33.47/8.73 |
% 33.47/8.73 | Instantiating formula (312) with e20, e23, all_0_23_23, e21 and discharging atoms op2(e20, e23) = all_0_23_23, op2(e20, e23) = e21, yields:
% 33.47/8.73 | (1195) all_0_23_23 = e21
% 33.47/8.73 |
% 33.47/8.73 | Instantiating formula (312) with e20, e20, all_0_6_6, all_0_110_110 and discharging atoms op2(e20, e20) = all_0_6_6, op2(e20, e20) = all_0_110_110, yields:
% 33.47/8.73 | (1573) all_0_6_6 = all_0_110_110
% 33.47/8.73 |
% 33.47/8.73 | Instantiating formula (312) with e20, e20, all_0_19_19, all_0_6_6 and discharging atoms op2(e20, e20) = all_0_6_6, op2(e20, e20) = all_0_19_19, yields:
% 33.47/8.73 | (1574) all_0_6_6 = all_0_19_19
% 33.47/8.73 |
% 33.47/8.73 | Instantiating formula (312) with e20, e20, all_0_25_25, all_0_19_19 and discharging atoms op2(e20, e20) = all_0_19_19, op2(e20, e20) = all_0_25_25, yields:
% 33.47/8.73 | (1575) all_0_19_19 = all_0_25_25
% 33.47/8.73 |
% 33.47/8.73 | Combining equations (1574,1573) yields a new equation:
% 33.47/8.73 | (1576) all_0_19_19 = all_0_110_110
% 33.47/8.73 |
% 33.47/8.73 | Simplifying 1576 yields:
% 33.47/8.73 | (1577) all_0_19_19 = all_0_110_110
% 33.47/8.73 |
% 33.47/8.73 | Combining equations (1575,1577) yields a new equation:
% 33.47/8.73 | (1578) all_0_25_25 = all_0_110_110
% 33.47/8.73 |
% 33.47/8.73 | Simplifying 1578 yields:
% 33.47/8.73 | (1579) all_0_25_25 = all_0_110_110
% 33.47/8.73 |
% 33.47/8.73 | From (1571) and (1567) follows:
% 33.47/8.73 | (947) op2(e23, e20) = e23
% 33.47/8.73 |
% 33.47/8.73 | From (1195) and (1565) follows:
% 33.47/8.73 | (493) op2(e20, e23) = e21
% 33.47/8.73 |
% 33.47/8.73 | From (1579) and (1564) follows:
% 33.47/8.73 | (340) op2(e20, e20) = all_0_110_110
% 33.47/8.73 |
% 33.47/8.73 +-Applying beta-rule and splitting (12), into two cases.
% 33.47/8.73 |-Branch one:
% 33.47/8.73 | (532) all_0_104_104 = e22
% 33.47/8.73 |
% 33.47/8.73 | Combining equations (532,499) yields a new equation:
% 33.47/8.73 | (677) e22 = e21
% 33.47/8.73 |
% 33.47/8.73 | Simplifying 677 yields:
% 33.47/8.73 | (533) e22 = e21
% 33.47/8.73 |
% 33.47/8.73 | Equations (533) can reduce 28 to:
% 33.47/8.73 | (401) $false
% 33.47/8.73 |
% 33.47/8.73 |-The branch is then unsatisfiable
% 33.47/8.73 |-Branch two:
% 33.47/8.73 | (471) ~ (all_0_104_104 = e22)
% 33.47/8.73 | (536) all_0_105_105 = e22 | all_0_106_106 = e22
% 33.47/8.73 |
% 33.47/8.73 | Equations (499) can reduce 471 to:
% 33.47/8.73 | (488) ~ (e22 = e21)
% 33.47/8.73 |
% 33.47/8.73 | Simplifying 488 yields:
% 33.47/8.73 | (28) ~ (e22 = e21)
% 33.47/8.73 |
% 33.47/8.73 +-Applying beta-rule and splitting (67), into two cases.
% 33.47/8.73 |-Branch one:
% 33.47/8.73 | (460) all_0_107_107 = e20
% 33.47/8.73 |
% 33.47/8.73 | Combining equations (485,460) yields a new equation:
% 33.47/8.73 | (646) e21 = e20
% 33.47/8.73 |
% 33.47/8.73 | Simplifying 646 yields:
% 33.47/8.73 | (476) e21 = e20
% 33.47/8.73 |
% 33.47/8.73 | Equations (476) can reduce 280 to:
% 33.47/8.73 | (401) $false
% 33.47/8.73 |
% 33.47/8.73 |-The branch is then unsatisfiable
% 33.47/8.73 |-Branch two:
% 33.47/8.73 | (451) ~ (all_0_107_107 = e20)
% 33.47/8.73 | (463) all_0_109_109 = e20 | all_0_110_110 = e20
% 33.47/8.73 |
% 33.47/8.73 | Equations (485) can reduce 451 to:
% 33.47/8.73 | (280) ~ (e21 = e20)
% 33.47/8.73 |
% 33.47/8.73 +-Applying beta-rule and splitting (341), into two cases.
% 33.47/8.73 |-Branch one:
% 33.47/8.73 | (537) all_0_105_105 = e22
% 33.47/8.73 |
% 33.47/8.73 | Equations (537) can reduce 245 to:
% 33.47/8.73 | (854) ~ (all_0_109_109 = e22)
% 33.47/8.73 |
% 33.47/8.73 | Simplifying 854 yields:
% 33.47/8.73 | (855) ~ (all_0_109_109 = e22)
% 33.47/8.73 |
% 33.47/8.73 | From (537)(537) and (1488) follows:
% 33.47/8.73 | (559) op2(e22, e22) = all_0_37_37
% 33.47/8.73 |
% 33.47/8.73 | From (537) and (1490) follows:
% 33.47/8.73 | (560) op2(e22, e22) = all_0_39_39
% 33.47/8.73 |
% 33.47/8.73 | From (537) and (1491) follows:
% 33.47/8.73 | (561) op2(e22, e21) = all_0_35_35
% 33.47/8.73 |
% 33.47/8.73 | From (537) and (1492) follows:
% 33.47/8.73 | (566) op2(e22, e22) = all_0_96_96
% 33.47/8.73 |
% 33.47/8.73 | From (537) and (61) follows:
% 33.47/8.73 | (539) op2(e22, e21) = e22
% 33.47/8.73 |
% 33.47/8.73 | From (537) and (1494) follows:
% 33.47/8.73 | (568) op2(e21, e22) = all_0_29_29
% 33.47/8.73 |
% 33.47/8.73 +-Applying beta-rule and splitting (361), into two cases.
% 33.47/8.73 |-Branch one:
% 33.47/8.73 | (821) all_0_101_101 = e20
% 33.47/8.73 |
% 33.47/8.73 | Combining equations (526,821) yields a new equation:
% 33.47/8.73 | (646) e21 = e20
% 33.47/8.73 |
% 33.47/8.73 | Simplifying 646 yields:
% 33.47/8.73 | (476) e21 = e20
% 33.47/8.73 |
% 33.47/8.73 | Equations (476) can reduce 280 to:
% 33.47/8.73 | (401) $false
% 33.47/8.73 |
% 33.47/8.73 |-The branch is then unsatisfiable
% 33.47/8.73 |-Branch two:
% 33.47/8.73 | (1086) ~ (all_0_101_101 = e20)
% 33.47/8.73 | (1129) all_0_105_105 = e20 | all_0_109_109 = e20
% 33.47/8.73 |
% 33.47/8.73 +-Applying beta-rule and splitting (13), into two cases.
% 33.47/8.73 |-Branch one:
% 33.47/8.73 | (857) all_0_109_109 = e22
% 33.47/8.73 |
% 33.47/8.73 | Equations (857) can reduce 855 to:
% 33.47/8.73 | (401) $false
% 33.47/8.73 |
% 33.47/8.73 |-The branch is then unsatisfiable
% 33.47/8.73 |-Branch two:
% 33.47/8.73 | (855) ~ (all_0_109_109 = e22)
% 33.47/8.73 | (860) all_0_109_109 = e21 | all_0_109_109 = e20
% 33.47/8.73 |
% 33.47/8.73 +-Applying beta-rule and splitting (704), into two cases.
% 33.47/8.73 |-Branch one:
% 33.47/8.73 | (857) all_0_109_109 = e22
% 33.47/8.73 |
% 33.47/8.73 | Equations (857) can reduce 855 to:
% 33.47/8.73 | (401) $false
% 33.47/8.73 |
% 33.47/8.73 |-The branch is then unsatisfiable
% 33.47/8.73 |-Branch two:
% 33.47/8.73 | (855) ~ (all_0_109_109 = e22)
% 33.47/8.73 | (1082) all_0_110_110 = e22
% 33.47/8.73 |
% 33.47/8.73 | Equations (1082) can reduce 131 to:
% 33.47/8.73 | (804) ~ (all_0_106_106 = e22)
% 33.47/8.73 |
% 33.47/8.73 | From (1082) and (309) follows:
% 33.47/8.73 | (1622) op2(all_0_97_97, e22) = all_0_74_74
% 33.47/8.73 |
% 33.47/8.73 | From (1082) and (52) follows:
% 33.47/8.73 | (1623) op2(all_0_98_98, e22) = all_0_85_85
% 33.47/8.73 |
% 33.47/8.73 | From (1082) and (359) follows:
% 33.47/8.73 | (1624) op2(e22, all_0_97_97) = all_0_68_68
% 33.47/8.73 |
% 33.47/8.73 | From (1082) and (93) follows:
% 33.47/8.73 | (1625) op2(e22, all_0_98_98) = all_0_72_72
% 33.47/8.73 |
% 33.47/8.73 | From (1082)(1082) and (265) follows:
% 33.47/8.74 | (1626) op2(e22, e22) = all_0_66_66
% 33.47/8.74 |
% 33.47/8.74 | From (1082) and (69) follows:
% 33.47/8.74 | (1627) op2(e20, e22) = all_0_97_97
% 33.47/8.74 |
% 33.47/8.74 | From (1082) and (340) follows:
% 33.47/8.74 | (1628) op2(e20, e20) = e22
% 33.47/8.74 |
% 33.47/8.74 +-Applying beta-rule and splitting (518), into two cases.
% 33.47/8.74 |-Branch one:
% 33.47/8.74 | (529) all_0_106_106 = e20
% 33.47/8.74 |
% 33.47/8.74 | Equations (529) can reduce 804 to:
% 33.47/8.74 | (751) ~ (e22 = e20)
% 33.47/8.74 |
% 33.47/8.74 | Simplifying 751 yields:
% 33.47/8.74 | (304) ~ (e22 = e20)
% 33.47/8.74 |
% 33.47/8.74 +-Applying beta-rule and splitting (1129), into two cases.
% 33.47/8.74 |-Branch one:
% 33.47/8.74 | (986) all_0_105_105 = e20
% 33.47/8.74 |
% 33.47/8.74 | Combining equations (537,986) yields a new equation:
% 33.47/8.74 | (644) e22 = e20
% 33.47/8.74 |
% 33.47/8.74 | Simplifying 644 yields:
% 33.47/8.74 | (645) e22 = e20
% 33.47/8.74 |
% 33.47/8.74 | Equations (645) can reduce 304 to:
% 33.47/8.74 | (401) $false
% 33.47/8.74 |
% 33.47/8.74 |-The branch is then unsatisfiable
% 33.47/8.74 |-Branch two:
% 33.47/8.74 | (834) ~ (all_0_105_105 = e20)
% 33.47/8.74 | (464) all_0_109_109 = e20
% 33.47/8.74 |
% 33.47/8.74 | Equations (464) can reduce 1541 to:
% 33.47/8.74 | (530) ~ (e21 = e20)
% 33.47/8.74 |
% 33.47/8.74 | Simplifying 530 yields:
% 33.47/8.74 | (280) ~ (e21 = e20)
% 33.47/8.74 |
% 33.47/8.74 | Instantiating formula (312) with e22, e22, all_0_37_37, e21 and discharging atoms op2(e22, e22) = all_0_37_37, op2(e22, e22) = e21, yields:
% 33.47/8.74 | (578) all_0_37_37 = e21
% 33.47/8.74 |
% 33.47/8.74 | Instantiating formula (312) with e22, e22, all_0_39_39, all_0_37_37 and discharging atoms op2(e22, e22) = all_0_37_37, op2(e22, e22) = all_0_39_39, yields:
% 33.47/8.74 | (590) all_0_37_37 = all_0_39_39
% 33.47/8.74 |
% 33.47/8.74 | Instantiating formula (312) with e22, e22, all_0_66_66, all_0_39_39 and discharging atoms op2(e22, e22) = all_0_39_39, op2(e22, e22) = all_0_66_66, yields:
% 33.47/8.74 | (1642) all_0_39_39 = all_0_66_66
% 33.47/8.74 |
% 33.47/8.74 | Instantiating formula (312) with e22, e22, all_0_96_96, all_0_66_66 and discharging atoms op2(e22, e22) = all_0_66_66, op2(e22, e22) = all_0_96_96, yields:
% 33.47/8.74 | (1643) all_0_66_66 = all_0_96_96
% 33.47/8.74 |
% 33.47/8.74 | Instantiating formula (312) with e22, e21, e22, all_0_35_35 and discharging atoms op2(e22, e21) = all_0_35_35, op2(e22, e21) = e22, yields:
% 33.47/8.74 | (582) all_0_35_35 = e22
% 33.47/8.74 |
% 33.47/8.74 | Instantiating formula (312) with e21, e22, all_0_29_29, e20 and discharging atoms op2(e21, e22) = all_0_29_29, op2(e21, e22) = e20, yields:
% 33.47/8.74 | (583) all_0_29_29 = e20
% 33.47/8.74 |
% 33.47/8.74 | Instantiating formula (312) with e20, e22, all_0_97_97, e23 and discharging atoms op2(e20, e22) = all_0_97_97, op2(e20, e22) = e23, yields:
% 33.47/8.74 | (1646) all_0_97_97 = e23
% 33.47/8.74 |
% 33.47/8.74 | Combining equations (590,578) yields a new equation:
% 33.47/8.74 | (1647) all_0_39_39 = e21
% 33.47/8.74 |
% 33.47/8.74 | Simplifying 1647 yields:
% 33.47/8.74 | (592) all_0_39_39 = e21
% 33.47/8.74 |
% 33.47/8.74 | Combining equations (1642,592) yields a new equation:
% 33.47/8.74 | (1649) all_0_66_66 = e21
% 33.47/8.74 |
% 33.47/8.74 | Simplifying 1649 yields:
% 33.47/8.74 | (1650) all_0_66_66 = e21
% 33.47/8.74 |
% 33.47/8.74 | Combining equations (1650,1643) yields a new equation:
% 33.47/8.74 | (593) all_0_96_96 = e21
% 33.47/8.74 |
% 33.47/8.74 | From (593)(593) and (197) follows:
% 33.47/8.74 | (599) op2(e21, e21) = all_0_52_52
% 33.47/8.74 |
% 33.47/8.74 | From (593) and (141) follows:
% 33.47/8.74 | (600) op2(e21, e22) = all_0_50_50
% 33.47/8.74 |
% 33.47/8.74 | From (593) and (508) follows:
% 33.47/8.74 | (601) op2(e21, e21) = all_0_46_46
% 33.47/8.74 |
% 33.47/8.74 | From (1646) and (1622) follows:
% 33.47/8.74 | (1655) op2(e23, e22) = all_0_74_74
% 33.47/8.74 |
% 33.47/8.74 | From (1646) and (295) follows:
% 33.47/8.74 | (1656) op2(e23, e20) = all_0_78_78
% 33.47/8.74 |
% 33.47/8.74 | From (1646) and (110) follows:
% 33.47/8.74 | (1657) op2(all_0_98_98, e23) = all_0_87_87
% 33.47/8.74 |
% 33.47/8.74 | From (593) and (113) follows:
% 33.47/8.74 | (604) op2(e22, e21) = all_0_45_45
% 33.47/8.74 |
% 33.47/8.74 | From (1646) and (1624) follows:
% 33.47/8.74 | (1659) op2(e22, e23) = all_0_68_68
% 33.47/8.74 |
% 33.47/8.74 | From (582) and (561) follows:
% 33.47/8.74 | (539) op2(e22, e21) = e22
% 33.47/8.74 |
% 33.47/8.74 | From (593) and (510) follows:
% 33.47/8.74 | (607) op2(e21, e21) = all_0_33_33
% 33.47/8.74 |
% 33.47/8.74 | From (583) and (568) follows:
% 33.47/8.74 | (151) op2(e21, e22) = e20
% 33.47/8.74 |
% 33.47/8.74 | From (1646) and (240) follows:
% 33.47/8.74 | (1663) op2(e20, e23) = all_0_98_98
% 33.47/8.74 |
% 33.47/8.74 | From (1646) and (1627) follows:
% 33.47/8.74 | (1414) op2(e20, e22) = e23
% 33.47/8.74 |
% 33.47/8.74 | Instantiating formula (312) with e23, e22, all_0_74_74, e22 and discharging atoms op2(e23, e22) = all_0_74_74, op2(e23, e22) = e22, yields:
% 33.47/8.74 | (548) all_0_74_74 = e22
% 33.47/8.74 |
% 33.47/8.74 | Instantiating formula (312) with e23, e20, all_0_78_78, e23 and discharging atoms op2(e23, e20) = all_0_78_78, op2(e23, e20) = e23, yields:
% 33.47/8.74 | (763) all_0_78_78 = e23
% 33.47/8.74 |
% 33.47/8.74 | Instantiating formula (312) with e22, e23, all_0_68_68, e23 and discharging atoms op2(e22, e23) = all_0_68_68, op2(e22, e23) = e23, yields:
% 33.47/8.74 | (1667) all_0_68_68 = e23
% 33.47/8.74 |
% 33.47/8.74 | Instantiating formula (312) with e22, e21, all_0_45_45, e22 and discharging atoms op2(e22, e21) = all_0_45_45, op2(e22, e21) = e22, yields:
% 33.47/8.74 | (617) all_0_45_45 = e22
% 33.47/8.74 |
% 33.47/8.74 | Instantiating formula (312) with e21, e22, all_0_50_50, e20 and discharging atoms op2(e21, e22) = all_0_50_50, op2(e21, e22) = e20, yields:
% 33.47/8.74 | (618) all_0_50_50 = e20
% 33.47/8.74 |
% 33.47/8.74 | Instantiating formula (312) with e21, e21, all_0_33_33, e23 and discharging atoms op2(e21, e21) = all_0_33_33, op2(e21, e21) = e23, yields:
% 33.47/8.74 | (913) all_0_33_33 = e23
% 33.47/8.74 |
% 33.47/8.74 | Instantiating formula (312) with e21, e21, all_0_46_46, all_0_33_33 and discharging atoms op2(e21, e21) = all_0_33_33, op2(e21, e21) = all_0_46_46, yields:
% 33.47/8.74 | (620) all_0_33_33 = all_0_46_46
% 33.47/8.74 |
% 33.47/8.74 | Instantiating formula (312) with e21, e21, all_0_52_52, all_0_33_33 and discharging atoms op2(e21, e21) = all_0_33_33, op2(e21, e21) = all_0_52_52, yields:
% 33.47/8.74 | (621) all_0_33_33 = all_0_52_52
% 33.47/8.74 |
% 33.47/8.74 | Instantiating formula (312) with e20, e23, all_0_98_98, e21 and discharging atoms op2(e20, e23) = all_0_98_98, op2(e20, e23) = e21, yields:
% 33.47/8.74 | (1673) all_0_98_98 = e21
% 33.47/8.74 |
% 33.47/8.74 | Combining equations (913,620) yields a new equation:
% 33.47/8.74 | (619) all_0_46_46 = e23
% 33.47/8.74 |
% 33.47/8.74 | Combining equations (621,620) yields a new equation:
% 33.47/8.74 | (628) all_0_46_46 = all_0_52_52
% 33.47/8.74 |
% 33.47/8.74 | Combining equations (628,619) yields a new equation:
% 33.47/8.74 | (629) all_0_52_52 = e23
% 33.47/8.74 |
% 33.47/8.74 | Simplifying 629 yields:
% 33.47/8.74 | (630) all_0_52_52 = e23
% 33.47/8.74 |
% 33.47/8.74 | From (1673)(1673) and (263) follows:
% 33.47/8.74 | (1678) op2(e21, e21) = all_0_91_91
% 33.47/8.74 |
% 33.47/8.74 | From (1673) and (1657) follows:
% 33.47/8.74 | (1679) op2(e21, e23) = all_0_87_87
% 33.47/8.74 |
% 33.47/8.74 | From (1673) and (1623) follows:
% 33.47/8.74 | (1680) op2(e21, e22) = all_0_85_85
% 33.47/8.74 |
% 33.47/8.74 | From (548) and (1655) follows:
% 33.47/8.74 | (1462) op2(e23, e22) = e22
% 33.47/8.74 |
% 33.47/8.74 | From (763) and (1656) follows:
% 33.47/8.74 | (947) op2(e23, e20) = e23
% 33.47/8.74 |
% 33.47/8.74 | From (1673) and (1625) follows:
% 33.47/8.74 | (1683) op2(e22, e21) = all_0_72_72
% 33.47/8.74 |
% 33.47/8.74 | From (1667) and (1659) follows:
% 33.47/8.74 | (420) op2(e22, e23) = e23
% 33.47/8.74 |
% 33.47/8.74 | From (617) and (604) follows:
% 33.47/8.74 | (539) op2(e22, e21) = e22
% 33.47/8.74 |
% 33.47/8.74 | From (618) and (600) follows:
% 33.47/8.74 | (151) op2(e21, e22) = e20
% 33.47/8.74 |
% 33.47/8.74 | From (630) and (599) follows:
% 33.47/8.74 | (224) op2(e21, e21) = e23
% 33.47/8.74 |
% 33.47/8.74 | From (1673) and (1663) follows:
% 33.47/8.74 | (493) op2(e20, e23) = e21
% 33.77/8.74 |
% 33.77/8.74 | Instantiating formula (312) with e22, e21, all_0_72_72, e22 and discharging atoms op2(e22, e21) = all_0_72_72, op2(e22, e21) = e22, yields:
% 33.77/8.74 | (1689) all_0_72_72 = e22
% 33.77/8.74 |
% 33.77/8.74 | Instantiating formula (312) with e21, e23, all_0_87_87, e22 and discharging atoms op2(e21, e23) = all_0_87_87, op2(e21, e23) = e22, yields:
% 33.77/8.74 | (1690) all_0_87_87 = e22
% 33.77/8.74 |
% 33.77/8.74 | Instantiating formula (312) with e21, e22, all_0_85_85, e20 and discharging atoms op2(e21, e22) = all_0_85_85, op2(e21, e22) = e20, yields:
% 33.77/8.74 | (1691) all_0_85_85 = e20
% 33.77/8.74 |
% 33.77/8.74 | Instantiating formula (312) with e21, e21, all_0_91_91, e23 and discharging atoms op2(e21, e21) = all_0_91_91, op2(e21, e21) = e23, yields:
% 33.77/8.74 | (596) all_0_91_91 = e23
% 33.77/8.74 |
% 33.77/8.74 | From (1689) and (1683) follows:
% 33.77/8.74 | (539) op2(e22, e21) = e22
% 33.77/8.74 |
% 33.77/8.74 | From (1690) and (1679) follows:
% 33.77/8.74 | (89) op2(e21, e23) = e22
% 33.77/8.74 |
% 33.77/8.74 | From (1691) and (1680) follows:
% 33.77/8.74 | (151) op2(e21, e22) = e20
% 33.77/8.74 |
% 33.77/8.74 | From (596) and (1678) follows:
% 33.77/8.74 | (224) op2(e21, e21) = e23
% 33.77/8.74 |
% 33.77/8.74 +-Applying beta-rule and splitting (277), into two cases.
% 33.77/8.74 |-Branch one:
% 33.77/8.74 | (637) unit2 = e23
% 33.77/8.74 |
% 33.77/8.74 | From (637) and (172) follows:
% 33.77/8.74 | (923) op2(e23, e20) = e20
% 33.77/8.74 |
% 33.77/8.74 | From (637) and (334) follows:
% 33.77/8.74 | (639) op2(e22, e23) = e22
% 33.77/8.74 |
% 33.77/8.74 | From (637) and (105) follows:
% 33.77/8.74 | (640) op2(e21, e23) = e21
% 33.77/8.74 |
% 33.77/8.74 | Instantiating formula (312) with e23, e20, e20, e23 and discharging atoms op2(e23, e20) = e23, op2(e23, e20) = e20, yields:
% 33.77/8.74 | (521) e23 = e20
% 33.77/8.74 |
% 33.77/8.74 | Instantiating formula (312) with e22, e23, e22, e23 and discharging atoms op2(e22, e23) = e23, op2(e22, e23) = e22, yields:
% 33.77/8.74 | (442) e23 = e22
% 33.77/8.74 |
% 33.77/8.74 | Instantiating formula (312) with e21, e23, e21, e22 and discharging atoms op2(e21, e23) = e22, op2(e21, e23) = e21, yields:
% 33.77/8.74 | (533) e22 = e21
% 33.77/8.74 |
% 33.77/8.74 | Combining equations (442,521) yields a new equation:
% 33.77/8.74 | (644) e22 = e20
% 33.77/8.75 |
% 33.77/8.75 | Simplifying 644 yields:
% 33.77/8.75 | (645) e22 = e20
% 33.77/8.75 |
% 33.77/8.75 | Combining equations (645,533) yields a new equation:
% 33.77/8.75 | (476) e21 = e20
% 33.77/8.75 |
% 33.77/8.75 | Equations (476) can reduce 280 to:
% 33.77/8.75 | (401) $false
% 33.77/8.75 |
% 33.77/8.75 |-The branch is then unsatisfiable
% 33.77/8.75 |-Branch two:
% 33.77/8.75 | (649) ~ (unit2 = e23)
% 33.77/8.75 | (650) unit2 = e22 | unit2 = e21 | unit2 = e20
% 33.77/8.75 |
% 33.77/8.75 +-Applying beta-rule and splitting (650), into two cases.
% 33.77/8.75 |-Branch one:
% 33.77/8.75 | (651) unit2 = e22
% 33.77/8.75 |
% 33.77/8.75 | From (651) and (171) follows:
% 33.77/8.75 | (652) op2(e22, e21) = e21
% 33.77/8.75 |
% 33.77/8.75 | From (651) and (38) follows:
% 33.77/8.75 | (412) op2(e23, e22) = e23
% 33.77/8.75 |
% 33.77/8.75 | From (651) and (202) follows:
% 33.77/8.75 | (653) op2(e20, e22) = e20
% 33.77/8.75 |
% 33.77/8.75 | Instantiating formula (312) with e23, e22, e23, e22 and discharging atoms op2(e23, e22) = e23, op2(e23, e22) = e22, yields:
% 33.77/8.75 | (442) e23 = e22
% 33.77/8.75 |
% 33.77/8.75 | Instantiating formula (312) with e22, e21, e21, e22 and discharging atoms op2(e22, e21) = e22, op2(e22, e21) = e21, yields:
% 33.77/8.75 | (533) e22 = e21
% 33.77/8.75 |
% 33.77/8.75 | Instantiating formula (312) with e20, e22, e20, e23 and discharging atoms op2(e20, e22) = e23, op2(e20, e22) = e20, yields:
% 33.77/8.75 | (521) e23 = e20
% 33.77/8.75 |
% 33.77/8.75 | Combining equations (442,521) yields a new equation:
% 33.77/8.75 | (644) e22 = e20
% 33.77/8.75 |
% 33.77/8.75 | Simplifying 644 yields:
% 33.77/8.75 | (645) e22 = e20
% 33.77/8.75 |
% 33.77/8.75 | Combining equations (645,533) yields a new equation:
% 33.77/8.75 | (476) e21 = e20
% 33.77/8.75 |
% 33.77/8.75 | Equations (476) can reduce 280 to:
% 33.77/8.75 | (401) $false
% 33.77/8.75 |
% 33.77/8.75 |-The branch is then unsatisfiable
% 33.77/8.75 |-Branch two:
% 33.77/8.75 | (658) ~ (unit2 = e22)
% 33.77/8.75 | (659) unit2 = e21 | unit2 = e20
% 33.77/8.75 |
% 33.77/8.75 +-Applying beta-rule and splitting (659), into two cases.
% 33.77/8.75 |-Branch one:
% 33.77/8.75 | (660) unit2 = e20
% 33.77/8.75 |
% 33.77/8.75 | From (660) and (299) follows:
% 33.77/8.75 | (661) op2(e20, e23) = e23
% 33.77/8.75 |
% 33.77/8.75 | From (660) and (23) follows:
% 33.77/8.75 | (474) op2(e20, e22) = e22
% 33.77/8.75 |
% 33.77/8.75 | From (660) and (202) follows:
% 33.77/8.75 | (662) op2(e20, e20) = e20
% 33.77/8.75 |
% 33.77/8.75 | Instantiating formula (312) with e20, e23, e23, e21 and discharging atoms op2(e20, e23) = e23, op2(e20, e23) = e21, yields:
% 33.77/8.75 | (482) e23 = e21
% 33.77/8.75 |
% 33.77/8.75 | Instantiating formula (312) with e20, e22, e22, e23 and discharging atoms op2(e20, e22) = e23, op2(e20, e22) = e22, yields:
% 33.77/8.75 | (442) e23 = e22
% 33.77/8.75 |
% 33.77/8.75 | Instantiating formula (312) with e20, e20, e20, e22 and discharging atoms op2(e20, e20) = e22, op2(e20, e20) = e20, yields:
% 33.77/8.75 | (645) e22 = e20
% 33.77/8.75 |
% 33.77/8.75 | Combining equations (482,442) yields a new equation:
% 33.77/8.75 | (533) e22 = e21
% 33.77/8.75 |
% 33.77/8.75 | Combining equations (533,645) yields a new equation:
% 33.77/8.75 | (646) e21 = e20
% 33.77/8.75 |
% 33.77/8.75 | Simplifying 646 yields:
% 33.77/8.75 | (476) e21 = e20
% 33.77/8.75 |
% 33.77/8.75 | Equations (476) can reduce 280 to:
% 33.77/8.75 | (401) $false
% 33.77/8.75 |
% 33.77/8.75 |-The branch is then unsatisfiable
% 33.77/8.75 |-Branch two:
% 33.77/8.75 | (668) ~ (unit2 = e20)
% 33.77/8.75 | (669) unit2 = e21
% 33.77/8.75 |
% 33.77/8.75 | Equations (669) can reduce 668 to:
% 33.77/8.75 | (280) ~ (e21 = e20)
% 33.77/8.75 |
% 33.77/8.75 | From (669) and (299) follows:
% 33.77/8.75 | (671) op2(e21, e23) = e23
% 33.77/8.75 |
% 33.77/8.75 | From (669) and (23) follows:
% 33.77/8.75 | (672) op2(e21, e22) = e22
% 33.77/8.75 |
% 33.77/8.75 | From (669) and (105) follows:
% 33.77/8.75 | (673) op2(e21, e21) = e21
% 33.77/8.75 |
% 33.77/8.75 | Instantiating formula (312) with e21, e23, e23, e22 and discharging atoms op2(e21, e23) = e23, op2(e21, e23) = e22, yields:
% 33.77/8.75 | (442) e23 = e22
% 33.77/8.75 |
% 33.77/8.75 | Instantiating formula (312) with e21, e22, e22, e20 and discharging atoms op2(e21, e22) = e22, op2(e21, e22) = e20, yields:
% 33.77/8.75 | (645) e22 = e20
% 33.77/8.75 |
% 33.77/8.75 | Instantiating formula (312) with e21, e21, e21, e23 and discharging atoms op2(e21, e21) = e23, op2(e21, e21) = e21, yields:
% 33.77/8.75 | (482) e23 = e21
% 33.77/8.75 |
% 33.77/8.75 | Combining equations (442,482) yields a new equation:
% 33.77/8.75 | (677) e22 = e21
% 33.77/8.75 |
% 33.77/8.75 | Simplifying 677 yields:
% 33.77/8.75 | (533) e22 = e21
% 33.77/8.75 |
% 33.77/8.75 | Combining equations (533,645) yields a new equation:
% 33.77/8.75 | (646) e21 = e20
% 33.77/8.75 |
% 33.77/8.75 | Simplifying 646 yields:
% 33.77/8.75 | (476) e21 = e20
% 33.77/8.75 |
% 33.77/8.75 | Equations (476) can reduce 280 to:
% 33.77/8.75 | (401) $false
% 33.77/8.75 |
% 33.77/8.75 |-The branch is then unsatisfiable
% 33.77/8.75 |-Branch two:
% 33.77/8.75 | (686) ~ (all_0_106_106 = e20)
% 33.77/8.75 | (687) all_0_110_110 = e20
% 33.77/8.75 |
% 33.77/8.75 | Combining equations (687,1082) yields a new equation:
% 33.77/8.75 | (645) e22 = e20
% 33.77/8.75 |
% 33.77/8.75 | Equations (645) can reduce 304 to:
% 33.77/8.75 | (401) $false
% 33.77/8.75 |
% 33.77/8.75 |-The branch is then unsatisfiable
% 33.77/8.75 |-Branch two:
% 33.77/8.75 | (682) ~ (all_0_105_105 = e22)
% 33.77/8.75 | (969) all_0_105_105 = e21 | all_0_105_105 = e20
% 33.77/8.75 |
% 33.77/8.75 +-Applying beta-rule and splitting (290), into two cases.
% 33.77/8.75 |-Branch one:
% 33.77/8.75 | (540) all_0_101_101 = e22
% 33.77/8.75 |
% 33.77/8.75 | Combining equations (526,540) yields a new equation:
% 33.77/8.75 | (533) e22 = e21
% 33.77/8.75 |
% 33.77/8.75 | Equations (533) can reduce 28 to:
% 33.77/8.75 | (401) $false
% 33.77/8.75 |
% 33.77/8.75 |-The branch is then unsatisfiable
% 33.77/8.75 |-Branch two:
% 33.77/8.75 | (543) ~ (all_0_101_101 = e22)
% 33.77/8.75 | (1315) all_0_105_105 = e22 | all_0_109_109 = e22
% 33.77/8.75 |
% 33.77/8.75 +-Applying beta-rule and splitting (536), into two cases.
% 33.77/8.75 |-Branch one:
% 33.77/8.75 | (537) all_0_105_105 = e22
% 33.77/8.75 |
% 33.77/8.75 | Equations (537) can reduce 682 to:
% 33.77/8.75 | (401) $false
% 33.77/8.75 |
% 33.77/8.75 |-The branch is then unsatisfiable
% 33.77/8.75 |-Branch two:
% 33.77/8.75 | (682) ~ (all_0_105_105 = e22)
% 33.77/8.75 | (683) all_0_106_106 = e22
% 33.77/8.75 |
% 33.77/8.75 | Equations (683) can reduce 241 to:
% 33.77/8.75 | (682) ~ (all_0_105_105 = e22)
% 33.77/8.75 |
% 33.77/8.75 | Equations (683) can reduce 131 to:
% 33.77/8.75 | (1764) ~ (all_0_110_110 = e22)
% 33.77/8.75 |
% 33.77/8.75 | Simplifying 1764 yields:
% 33.77/8.75 | (1765) ~ (all_0_110_110 = e22)
% 33.77/8.75 |
% 33.77/8.75 | From (683) and (191) follows:
% 33.77/8.75 | (1098) op2(e22, e20) = e22
% 33.77/8.75 |
% 33.77/8.75 +-Applying beta-rule and splitting (1386), into two cases.
% 33.77/8.75 |-Branch one:
% 33.77/8.75 | (1082) all_0_110_110 = e22
% 33.77/8.75 |
% 33.77/8.75 | Equations (1082) can reduce 1765 to:
% 33.77/8.75 | (401) $false
% 33.77/8.75 |
% 33.77/8.75 |-The branch is then unsatisfiable
% 33.77/8.75 |-Branch two:
% 33.77/8.75 | (1765) ~ (all_0_110_110 = e22)
% 33.77/8.75 | (687) all_0_110_110 = e20
% 33.77/8.75 |
% 33.77/8.75 | Equations (687) can reduce 179 to:
% 33.77/8.75 | (715) ~ (all_0_109_109 = e20)
% 33.77/8.75 |
% 33.77/8.75 | Equations (687) can reduce 58 to:
% 33.77/8.75 | (530) ~ (e21 = e20)
% 33.77/8.75 |
% 33.77/8.75 | Simplifying 530 yields:
% 33.77/8.75 | (280) ~ (e21 = e20)
% 33.77/8.75 |
% 33.77/8.75 +-Applying beta-rule and splitting (361), into two cases.
% 33.77/8.75 |-Branch one:
% 33.77/8.75 | (821) all_0_101_101 = e20
% 33.77/8.75 |
% 33.77/8.75 | Combining equations (526,821) yields a new equation:
% 33.77/8.75 | (646) e21 = e20
% 33.77/8.75 |
% 33.77/8.75 | Simplifying 646 yields:
% 33.77/8.75 | (476) e21 = e20
% 33.77/8.75 |
% 33.77/8.75 | Equations (476) can reduce 280 to:
% 33.77/8.75 | (401) $false
% 33.77/8.75 |
% 33.77/8.75 |-The branch is then unsatisfiable
% 33.77/8.75 |-Branch two:
% 33.77/8.75 | (1086) ~ (all_0_101_101 = e20)
% 33.77/8.75 | (1129) all_0_105_105 = e20 | all_0_109_109 = e20
% 33.77/8.75 |
% 33.77/8.75 +-Applying beta-rule and splitting (13), into two cases.
% 33.77/8.75 |-Branch one:
% 33.77/8.75 | (857) all_0_109_109 = e22
% 33.77/8.75 |
% 33.77/8.75 | Equations (857) can reduce 1541 to:
% 33.77/8.75 | (28) ~ (e22 = e21)
% 33.77/8.75 |
% 33.77/8.75 | Equations (857) can reduce 715 to:
% 33.77/8.75 | (304) ~ (e22 = e20)
% 33.77/8.75 |
% 33.77/8.75 | From (857) and (175) follows:
% 33.77/8.75 | (1004) op2(e20, e21) = e22
% 33.77/8.75 |
% 33.77/8.75 +-Applying beta-rule and splitting (1129), into two cases.
% 33.77/8.75 |-Branch one:
% 33.77/8.75 | (986) all_0_105_105 = e20
% 33.77/8.75 |
% 33.77/8.75 | Equations (986) can reduce 501 to:
% 33.77/8.75 | (530) ~ (e21 = e20)
% 33.77/8.75 |
% 33.77/8.75 | Simplifying 530 yields:
% 33.77/8.75 | (280) ~ (e21 = e20)
% 33.77/8.75 |
% 33.77/8.75 | From (986) and (1489) follows:
% 33.77/8.75 | (1185) op2(e20, all_0_96_96) = all_0_41_41
% 33.77/8.75 |
% 33.77/8.75 | From (986) and (1490) follows:
% 33.77/8.75 | (1186) op2(e20, e22) = all_0_39_39
% 33.77/8.75 |
% 33.77/8.75 | From (986) and (1491) follows:
% 33.77/8.75 | (1789) op2(e20, e21) = all_0_35_35
% 33.77/8.75 |
% 33.77/8.75 | From (986) and (1492) follows:
% 33.77/8.75 | (1189) op2(e22, e20) = all_0_96_96
% 33.77/8.75 |
% 33.77/8.75 | Instantiating formula (312) with e22, e20, e22, all_0_96_96 and discharging atoms op2(e22, e20) = all_0_96_96, op2(e22, e20) = e22, yields:
% 33.77/8.75 | (1199) all_0_96_96 = e22
% 33.77/8.75 |
% 33.77/8.75 | Instantiating formula (312) with e20, e22, all_0_39_39, e23 and discharging atoms op2(e20, e22) = all_0_39_39, op2(e20, e22) = e23, yields:
% 33.77/8.75 | (1792) all_0_39_39 = e23
% 33.77/8.75 |
% 33.77/8.75 | Instantiating formula (312) with e20, e21, e22, all_0_35_35 and discharging atoms op2(e20, e21) = all_0_35_35, op2(e20, e21) = e22, yields:
% 33.77/8.75 | (582) all_0_35_35 = e22
% 33.77/8.75 |
% 33.77/8.75 | From (1199)(1199) and (197) follows:
% 33.77/8.75 | (1206) op2(e22, e22) = all_0_52_52
% 33.77/8.75 |
% 33.77/8.75 | From (1199) and (141) follows:
% 33.77/8.75 | (1207) op2(e22, e22) = all_0_50_50
% 33.77/8.75 |
% 33.77/8.75 | From (1199) and (113) follows:
% 33.77/8.75 | (1209) op2(e22, e22) = all_0_45_45
% 33.77/8.75 |
% 33.77/8.75 | From (1199) and (1185) follows:
% 33.77/8.75 | (1213) op2(e20, e22) = all_0_41_41
% 33.77/8.75 |
% 33.77/8.75 | From (1792) and (1186) follows:
% 33.77/8.75 | (1414) op2(e20, e22) = e23
% 33.77/8.75 |
% 33.77/8.75 | From (582) and (1789) follows:
% 33.77/8.75 | (1004) op2(e20, e21) = e22
% 33.77/8.75 |
% 33.77/8.75 | Instantiating formula (312) with e22, e22, all_0_50_50, e21 and discharging atoms op2(e22, e22) = all_0_50_50, op2(e22, e22) = e21, yields:
% 33.77/8.75 | (1222) all_0_50_50 = e21
% 33.77/8.75 |
% 33.77/8.75 | Instantiating formula (312) with e22, e22, all_0_50_50, all_0_45_45 and discharging atoms op2(e22, e22) = all_0_45_45, op2(e22, e22) = all_0_50_50, yields:
% 33.77/8.75 | (1217) all_0_45_45 = all_0_50_50
% 33.77/8.75 |
% 33.77/8.75 | Instantiating formula (312) with e22, e22, all_0_52_52, all_0_45_45 and discharging atoms op2(e22, e22) = all_0_45_45, op2(e22, e22) = all_0_52_52, yields:
% 33.77/8.75 | (1218) all_0_45_45 = all_0_52_52
% 33.77/8.75 |
% 33.77/8.75 | Instantiating formula (312) with e20, e22, all_0_41_41, e23 and discharging atoms op2(e20, e22) = all_0_41_41, op2(e20, e22) = e23, yields:
% 33.77/8.75 | (1803) all_0_41_41 = e23
% 33.77/8.75 |
% 33.77/8.75 | Combining equations (1217,1218) yields a new equation:
% 33.77/8.75 | (1804) all_0_50_50 = all_0_52_52
% 33.77/8.75 |
% 33.77/8.75 | Simplifying 1804 yields:
% 33.77/8.75 | (1221) all_0_50_50 = all_0_52_52
% 33.77/8.75 |
% 33.77/8.75 | Combining equations (1221,1222) yields a new equation:
% 33.77/8.75 | (1223) all_0_52_52 = e21
% 33.77/8.75 |
% 33.77/8.75 | Simplifying 1223 yields:
% 33.77/8.75 | (1224) all_0_52_52 = e21
% 33.77/8.75 |
% 33.77/8.75 | From (1224) and (1206) follows:
% 33.77/8.76 | (514) op2(e22, e22) = e21
% 33.77/8.76 |
% 33.77/8.76 | From (1803) and (1213) follows:
% 33.77/8.76 | (1414) op2(e20, e22) = e23
% 33.77/8.76 |
% 33.77/8.76 +-Applying beta-rule and splitting (277), into two cases.
% 33.77/8.76 |-Branch one:
% 33.77/8.76 | (637) unit2 = e23
% 33.77/8.76 |
% 33.77/8.76 | From (637) and (172) follows:
% 33.77/8.76 | (923) op2(e23, e20) = e20
% 33.77/8.76 |
% 33.77/8.76 | From (637) and (334) follows:
% 33.77/8.76 | (639) op2(e22, e23) = e22
% 33.77/8.76 |
% 33.77/8.76 | From (637) and (105) follows:
% 33.77/8.76 | (640) op2(e21, e23) = e21
% 33.77/8.76 |
% 33.77/8.76 | Instantiating formula (312) with e23, e20, e20, e23 and discharging atoms op2(e23, e20) = e23, op2(e23, e20) = e20, yields:
% 33.77/8.76 | (521) e23 = e20
% 33.77/8.76 |
% 33.77/8.76 | Instantiating formula (312) with e22, e23, e22, e23 and discharging atoms op2(e22, e23) = e23, op2(e22, e23) = e22, yields:
% 33.77/8.76 | (442) e23 = e22
% 33.77/8.76 |
% 33.77/8.76 | Instantiating formula (312) with e21, e23, e21, e22 and discharging atoms op2(e21, e23) = e22, op2(e21, e23) = e21, yields:
% 33.77/8.76 | (533) e22 = e21
% 33.77/8.76 |
% 33.77/8.76 | Combining equations (442,521) yields a new equation:
% 33.77/8.76 | (644) e22 = e20
% 33.77/8.76 |
% 33.77/8.76 | Simplifying 644 yields:
% 33.77/8.76 | (645) e22 = e20
% 33.77/8.76 |
% 33.77/8.76 | Combining equations (645,533) yields a new equation:
% 33.77/8.76 | (476) e21 = e20
% 33.77/8.76 |
% 33.77/8.76 | Equations (476) can reduce 280 to:
% 33.77/8.76 | (401) $false
% 33.77/8.76 |
% 33.77/8.76 |-The branch is then unsatisfiable
% 33.77/8.76 |-Branch two:
% 33.77/8.76 | (649) ~ (unit2 = e23)
% 33.77/8.76 | (650) unit2 = e22 | unit2 = e21 | unit2 = e20
% 33.77/8.76 |
% 33.77/8.76 +-Applying beta-rule and splitting (650), into two cases.
% 33.77/8.76 |-Branch one:
% 33.77/8.76 | (651) unit2 = e22
% 33.77/8.76 |
% 33.77/8.76 | From (651) and (38) follows:
% 33.77/8.76 | (412) op2(e23, e22) = e23
% 33.77/8.76 |
% 33.77/8.76 | From (651) and (334) follows:
% 33.77/8.76 | (1239) op2(e22, e22) = e22
% 33.77/8.76 |
% 33.77/8.76 | From (651) and (202) follows:
% 33.77/8.76 | (653) op2(e20, e22) = e20
% 33.77/8.76 |
% 33.77/8.76 | Instantiating formula (312) with e23, e22, e23, e22 and discharging atoms op2(e23, e22) = e23, op2(e23, e22) = e22, yields:
% 33.77/8.76 | (442) e23 = e22
% 33.77/8.76 |
% 33.77/8.76 | Instantiating formula (312) with e22, e22, e22, e21 and discharging atoms op2(e22, e22) = e22, op2(e22, e22) = e21, yields:
% 33.77/8.76 | (533) e22 = e21
% 33.77/8.76 |
% 33.77/8.76 | Instantiating formula (312) with e20, e22, e20, e23 and discharging atoms op2(e20, e22) = e23, op2(e20, e22) = e20, yields:
% 33.77/8.76 | (521) e23 = e20
% 33.77/8.76 |
% 33.77/8.76 | Combining equations (442,521) yields a new equation:
% 33.77/8.76 | (644) e22 = e20
% 33.77/8.76 |
% 33.77/8.76 | Simplifying 644 yields:
% 33.77/8.76 | (645) e22 = e20
% 33.77/8.76 |
% 33.77/8.76 | Combining equations (533,645) yields a new equation:
% 33.77/8.76 | (646) e21 = e20
% 33.77/8.76 |
% 33.77/8.76 | Simplifying 646 yields:
% 33.77/8.76 | (476) e21 = e20
% 33.77/8.76 |
% 33.77/8.76 | Equations (476) can reduce 280 to:
% 33.77/8.76 | (401) $false
% 33.77/8.76 |
% 33.77/8.76 |-The branch is then unsatisfiable
% 33.77/8.76 |-Branch two:
% 33.77/8.76 | (658) ~ (unit2 = e22)
% 33.77/8.76 | (659) unit2 = e21 | unit2 = e20
% 33.77/8.76 |
% 33.77/8.76 +-Applying beta-rule and splitting (659), into two cases.
% 33.77/8.76 |-Branch one:
% 33.77/8.76 | (660) unit2 = e20
% 33.77/8.76 |
% 33.77/8.76 | From (660) and (299) follows:
% 33.77/8.76 | (661) op2(e20, e23) = e23
% 33.77/8.76 |
% 33.77/8.76 | From (660) and (23) follows:
% 33.77/8.76 | (474) op2(e20, e22) = e22
% 33.77/8.76 |
% 33.77/8.76 | Instantiating formula (312) with e20, e23, e23, e21 and discharging atoms op2(e20, e23) = e23, op2(e20, e23) = e21, yields:
% 33.77/8.76 | (482) e23 = e21
% 33.77/8.76 |
% 33.77/8.76 | Instantiating formula (312) with e20, e22, e22, e23 and discharging atoms op2(e20, e22) = e23, op2(e20, e22) = e22, yields:
% 33.77/8.76 | (442) e23 = e22
% 33.77/8.76 |
% 33.77/8.76 | Combining equations (442,482) yields a new equation:
% 33.77/8.76 | (677) e22 = e21
% 33.77/8.76 |
% 33.77/8.76 | Simplifying 677 yields:
% 33.77/8.76 | (533) e22 = e21
% 33.77/8.76 |
% 33.77/8.76 | Equations (533) can reduce 28 to:
% 33.77/8.76 | (401) $false
% 33.77/8.76 |
% 33.77/8.76 |-The branch is then unsatisfiable
% 33.77/8.76 |-Branch two:
% 33.77/8.76 | (668) ~ (unit2 = e20)
% 33.77/8.76 | (669) unit2 = e21
% 33.77/8.76 |
% 33.77/8.76 | Equations (669) can reduce 668 to:
% 33.77/8.76 | (280) ~ (e21 = e20)
% 33.77/8.76 |
% 33.77/8.76 | From (669) and (299) follows:
% 33.77/8.76 | (671) op2(e21, e23) = e23
% 33.77/8.76 |
% 33.77/8.76 | From (669) and (105) follows:
% 33.77/8.76 | (673) op2(e21, e21) = e21
% 33.77/8.76 |
% 33.77/8.76 | From (669) and (202) follows:
% 33.77/8.76 | (469) op2(e20, e21) = e20
% 33.77/8.76 |
% 33.77/8.76 | Instantiating formula (312) with e21, e23, e23, e22 and discharging atoms op2(e21, e23) = e23, op2(e21, e23) = e22, yields:
% 33.77/8.76 | (442) e23 = e22
% 33.77/8.76 |
% 33.77/8.76 | Instantiating formula (312) with e21, e21, e21, e23 and discharging atoms op2(e21, e21) = e23, op2(e21, e21) = e21, yields:
% 33.77/8.76 | (482) e23 = e21
% 33.77/8.76 |
% 33.77/8.76 | Instantiating formula (312) with e20, e21, e20, e22 and discharging atoms op2(e20, e21) = e22, op2(e20, e21) = e20, yields:
% 33.77/8.76 | (645) e22 = e20
% 33.77/8.76 |
% 33.77/8.76 | Combining equations (482,442) yields a new equation:
% 33.77/8.76 | (533) e22 = e21
% 33.77/8.76 |
% 33.77/8.76 | Combining equations (533,645) yields a new equation:
% 33.77/8.76 | (646) e21 = e20
% 33.77/8.76 |
% 33.77/8.76 | Simplifying 646 yields:
% 33.77/8.76 | (476) e21 = e20
% 33.77/8.76 |
% 33.77/8.76 | Equations (476) can reduce 280 to:
% 33.77/8.76 | (401) $false
% 33.77/8.76 |
% 33.77/8.76 |-The branch is then unsatisfiable
% 33.77/8.76 |-Branch two:
% 33.77/8.76 | (834) ~ (all_0_105_105 = e20)
% 33.77/8.76 | (464) all_0_109_109 = e20
% 33.77/8.76 |
% 33.77/8.76 | Combining equations (464,857) yields a new equation:
% 33.77/8.76 | (645) e22 = e20
% 33.77/8.76 |
% 33.77/8.76 | Equations (645) can reduce 304 to:
% 33.77/8.76 | (401) $false
% 33.77/8.76 |
% 33.77/8.76 |-The branch is then unsatisfiable
% 33.77/8.76 |-Branch two:
% 33.77/8.76 | (855) ~ (all_0_109_109 = e22)
% 33.77/8.76 | (860) all_0_109_109 = e21 | all_0_109_109 = e20
% 33.77/8.76 |
% 33.77/8.76 +-Applying beta-rule and splitting (1129), into two cases.
% 33.77/8.76 |-Branch one:
% 33.77/8.76 | (986) all_0_105_105 = e20
% 33.77/8.76 |
% 33.77/8.76 | Equations (986) can reduce 682 to:
% 33.77/8.76 | (751) ~ (e22 = e20)
% 33.77/8.76 |
% 33.77/8.76 | Simplifying 751 yields:
% 33.77/8.76 | (304) ~ (e22 = e20)
% 33.77/8.76 |
% 33.77/8.76 +-Applying beta-rule and splitting (1315), into two cases.
% 33.77/8.76 |-Branch one:
% 33.77/8.76 | (537) all_0_105_105 = e22
% 33.77/8.76 |
% 33.77/8.76 | Combining equations (986,537) yields a new equation:
% 33.77/8.76 | (645) e22 = e20
% 33.77/8.76 |
% 33.77/8.76 | Equations (645) can reduce 304 to:
% 33.77/8.76 | (401) $false
% 33.77/8.76 |
% 33.77/8.76 |-The branch is then unsatisfiable
% 33.77/8.76 |-Branch two:
% 33.77/8.76 | (682) ~ (all_0_105_105 = e22)
% 33.77/8.76 | (857) all_0_109_109 = e22
% 33.77/8.76 |
% 33.77/8.76 | Equations (857) can reduce 855 to:
% 33.77/8.76 | (401) $false
% 33.77/8.76 |
% 33.77/8.76 |-The branch is then unsatisfiable
% 33.77/8.76 |-Branch two:
% 33.77/8.76 | (834) ~ (all_0_105_105 = e20)
% 33.77/8.76 | (464) all_0_109_109 = e20
% 33.77/8.76 |
% 33.77/8.76 | Equations (464) can reduce 715 to:
% 33.77/8.76 | (401) $false
% 33.77/8.76 |
% 33.77/8.76 |-The branch is then unsatisfiable
% 33.77/8.76 |-Branch two:
% 33.77/8.76 | (690) ~ (all_0_101_101 = e21)
% 33.77/8.76 | (691) all_0_105_105 = e21 | all_0_109_109 = e21
% 33.77/8.76 |
% 33.77/8.76 +-Applying beta-rule and splitting (1536), into two cases.
% 33.77/8.76 |-Branch one:
% 33.77/8.76 | (494) all_0_100_100 = e21
% 33.77/8.76 |
% 33.77/8.76 | Combining equations (494,441) yields a new equation:
% 33.77/8.76 | (533) e22 = e21
% 33.77/8.76 |
% 33.77/8.76 | Equations (533) can reduce 28 to:
% 33.77/8.76 | (401) $false
% 33.77/8.76 |
% 33.77/8.76 |-The branch is then unsatisfiable
% 33.77/8.76 |-Branch two:
% 33.77/8.76 | (497) ~ (all_0_100_100 = e21)
% 33.77/8.76 | (526) all_0_101_101 = e21
% 33.77/8.76 |
% 33.77/8.76 | Equations (526) can reduce 690 to:
% 33.77/8.76 | (401) $false
% 33.77/8.76 |
% 33.77/8.76 |-The branch is then unsatisfiable
% 33.77/8.76 |-Branch two:
% 33.77/8.76 | (719) ~ (all_0_99_99 = e20)
% 33.77/8.76 | (720) all_0_103_103 = e20 | all_0_107_107 = e20
% 33.77/8.76 |
% 33.77/8.76 +-Applying beta-rule and splitting (720), into two cases.
% 33.77/8.76 |-Branch one:
% 33.77/8.76 | (519) all_0_103_103 = e20
% 33.77/8.76 |
% 33.77/8.76 | Combining equations (413,519) yields a new equation:
% 33.77/8.76 | (520) e23 = e20
% 33.77/8.76 |
% 33.77/8.76 | Simplifying 520 yields:
% 33.77/8.76 | (521) e23 = e20
% 33.77/8.76 |
% 33.77/8.76 | Equations (521) can reduce 44 to:
% 33.77/8.76 | (401) $false
% 33.77/8.76 |
% 33.77/8.76 |-The branch is then unsatisfiable
% 33.77/8.76 |-Branch two:
% 33.77/8.76 | (523) ~ (all_0_103_103 = e20)
% 33.77/8.76 | (460) all_0_107_107 = e20
% 33.77/8.76 |
% 33.77/8.76 | Equations (460) can reduce 353 to:
% 33.77/8.76 | (1892) ~ (all_0_110_110 = e20)
% 33.77/8.76 |
% 33.77/8.76 | Simplifying 1892 yields:
% 33.77/8.76 | (1893) ~ (all_0_110_110 = e20)
% 33.77/8.76 |
% 33.77/8.76 | Equations (460) can reduce 195 to:
% 33.77/8.76 | (751) ~ (e22 = e20)
% 33.77/8.76 |
% 33.77/8.76 | Simplifying 751 yields:
% 33.77/8.76 | (304) ~ (e22 = e20)
% 33.77/8.76 |
% 33.77/8.76 | From (460) and (120) follows:
% 33.77/8.76 | (1896) op2(e20, e23) = e20
% 33.77/8.76 |
% 33.77/8.76 +-Applying beta-rule and splitting (247), into two cases.
% 33.77/8.76 |-Branch one:
% 33.77/8.76 | (475) all_0_99_99 = e21
% 33.77/8.76 |
% 33.77/8.76 | Equations (475) can reduce 184 to:
% 33.77/8.76 | (725) ~ (all_0_101_101 = e21)
% 33.77/8.76 |
% 33.77/8.76 | Simplifying 725 yields:
% 33.77/8.76 | (690) ~ (all_0_101_101 = e21)
% 33.77/8.76 |
% 33.77/8.76 | Equations (475) can reduce 132 to:
% 33.77/8.76 | (488) ~ (e22 = e21)
% 33.77/8.76 |
% 33.77/8.76 | Simplifying 488 yields:
% 33.77/8.76 | (28) ~ (e22 = e21)
% 33.77/8.76 |
% 33.77/8.76 | From (475) and (11) follows:
% 33.77/8.76 | (734) op2(all_0_94_94, e21) = all_0_19_19
% 33.77/8.76 |
% 33.77/8.76 | From (475)(475) and (292) follows:
% 33.77/8.76 | (737) op2(e21, e21) = all_0_0_0
% 33.77/8.76 |
% 33.77/8.76 | From (475) and (79) follows:
% 33.77/8.76 | (739) op2(e23, e21) = all_0_93_93
% 33.77/8.76 |
% 33.77/8.76 | From (475) and (209) follows:
% 33.77/8.76 | (740) op2(e23, e23) = e21
% 33.77/8.76 |
% 33.77/8.76 +-Applying beta-rule and splitting (114), into two cases.
% 33.77/8.76 |-Branch one:
% 33.77/8.76 | (540) all_0_101_101 = e22
% 33.77/8.76 |
% 33.77/8.76 | Equations (540) can reduce 543 to:
% 33.77/8.76 | (401) $false
% 33.77/8.76 |
% 33.77/8.76 |-The branch is then unsatisfiable
% 33.77/8.76 |-Branch two:
% 33.77/8.76 | (543) ~ (all_0_101_101 = e22)
% 33.77/8.76 | (1284) all_0_101_101 = e21 | all_0_101_101 = e20
% 33.77/8.76 |
% 33.77/8.76 +-Applying beta-rule and splitting (137), into two cases.
% 33.77/8.76 |-Branch one:
% 33.77/8.76 | (526) all_0_101_101 = e21
% 33.77/8.76 |
% 33.77/8.76 | Equations (526) can reduce 690 to:
% 33.77/8.76 | (401) $false
% 33.77/8.76 |
% 33.77/8.76 |-The branch is then unsatisfiable
% 33.77/8.76 |-Branch two:
% 33.77/8.76 | (690) ~ (all_0_101_101 = e21)
% 33.77/8.76 | (691) all_0_105_105 = e21 | all_0_109_109 = e21
% 33.77/8.76 |
% 33.77/8.76 +-Applying beta-rule and splitting (518), into two cases.
% 33.77/8.76 |-Branch one:
% 33.77/8.76 | (529) all_0_106_106 = e20
% 33.77/8.76 |
% 33.77/8.76 | Equations (529) can reduce 131 to:
% 33.77/8.76 | (1892) ~ (all_0_110_110 = e20)
% 33.77/8.76 |
% 33.77/8.76 | Simplifying 1892 yields:
% 33.77/8.76 | (1893) ~ (all_0_110_110 = e20)
% 33.77/8.76 |
% 33.77/8.76 +-Applying beta-rule and splitting (341), into two cases.
% 33.77/8.76 |-Branch one:
% 33.77/8.76 | (537) all_0_105_105 = e22
% 33.77/8.76 |
% 33.77/8.76 | From (537)(537) and (1488) follows:
% 33.77/8.76 | (559) op2(e22, e22) = all_0_37_37
% 33.77/8.76 |
% 33.77/8.76 | From (537) and (1490) follows:
% 33.77/8.76 | (560) op2(e22, e22) = all_0_39_39
% 33.77/8.76 |
% 33.77/8.76 | From (537) and (1491) follows:
% 33.77/8.76 | (561) op2(e22, e21) = all_0_35_35
% 33.77/8.76 |
% 33.77/8.76 | From (537) and (1492) follows:
% 33.77/8.76 | (566) op2(e22, e22) = all_0_96_96
% 33.77/8.76 |
% 33.77/8.76 | From (537) and (61) follows:
% 33.77/8.76 | (539) op2(e22, e21) = e22
% 33.77/8.76 |
% 33.77/8.76 +-Applying beta-rule and splitting (361), into two cases.
% 33.77/8.76 |-Branch one:
% 33.77/8.76 | (821) all_0_101_101 = e20
% 33.77/8.76 |
% 33.77/8.76 | Equations (821) can reduce 146 to:
% 33.77/8.76 | (822) ~ (all_0_109_109 = e20)
% 33.77/8.76 |
% 33.77/8.76 | Simplifying 822 yields:
% 33.77/8.76 | (715) ~ (all_0_109_109 = e20)
% 33.77/8.76 |
% 33.77/8.76 | From (821) and (250) follows:
% 33.77/8.77 | (828) op2(e23, e21) = e20
% 33.77/8.77 |
% 33.77/8.77 +-Applying beta-rule and splitting (1386), into two cases.
% 33.77/8.77 |-Branch one:
% 33.77/8.77 | (1082) all_0_110_110 = e22
% 33.77/8.77 |
% 33.77/8.77 | Equations (1082) can reduce 58 to:
% 33.77/8.77 | (28) ~ (e22 = e21)
% 33.77/8.77 |
% 33.77/8.77 | From (1082) and (309) follows:
% 33.77/8.77 | (1622) op2(all_0_97_97, e22) = all_0_74_74
% 33.77/8.77 |
% 33.77/8.77 | From (1082) and (52) follows:
% 33.77/8.77 | (1623) op2(all_0_98_98, e22) = all_0_85_85
% 33.77/8.77 |
% 33.77/8.77 | From (1082)(1082) and (265) follows:
% 33.77/8.77 | (1626) op2(e22, e22) = all_0_66_66
% 33.77/8.77 |
% 33.77/8.77 | From (1082) and (69) follows:
% 33.77/8.77 | (1627) op2(e20, e22) = all_0_97_97
% 33.77/8.77 |
% 33.77/8.77 +-Applying beta-rule and splitting (691), into two cases.
% 33.77/8.77 |-Branch one:
% 33.77/8.77 | (692) all_0_105_105 = e21
% 33.77/8.77 |
% 33.77/8.77 | Combining equations (537,692) yields a new equation:
% 33.77/8.77 | (677) e22 = e21
% 33.77/8.77 |
% 33.77/8.77 | Simplifying 677 yields:
% 33.77/8.77 | (533) e22 = e21
% 33.77/8.77 |
% 33.77/8.77 | Equations (533) can reduce 28 to:
% 33.77/8.77 | (401) $false
% 33.77/8.77 |
% 33.77/8.77 |-The branch is then unsatisfiable
% 33.77/8.77 |-Branch two:
% 33.77/8.77 | (501) ~ (all_0_105_105 = e21)
% 33.77/8.77 | (695) all_0_109_109 = e21
% 33.77/8.77 |
% 33.77/8.77 | Equations (695) can reduce 715 to:
% 33.77/8.77 | (280) ~ (e21 = e20)
% 33.77/8.77 |
% 33.77/8.77 | Instantiating formula (312) with e23, e21, e20, all_0_93_93 and discharging atoms op2(e23, e21) = all_0_93_93, op2(e23, e21) = e20, yields:
% 33.77/8.77 | (1940) all_0_93_93 = e20
% 33.77/8.77 |
% 33.77/8.77 | Instantiating formula (312) with e22, e22, all_0_39_39, e21 and discharging atoms op2(e22, e22) = all_0_39_39, op2(e22, e22) = e21, yields:
% 33.77/8.77 | (592) all_0_39_39 = e21
% 33.77/8.77 |
% 33.77/8.77 | Instantiating formula (312) with e22, e22, all_0_39_39, all_0_37_37 and discharging atoms op2(e22, e22) = all_0_37_37, op2(e22, e22) = all_0_39_39, yields:
% 33.77/8.77 | (590) all_0_37_37 = all_0_39_39
% 33.77/8.77 |
% 33.77/8.77 | Instantiating formula (312) with e22, e22, all_0_66_66, all_0_37_37 and discharging atoms op2(e22, e22) = all_0_37_37, op2(e22, e22) = all_0_66_66, yields:
% 33.77/8.77 | (1943) all_0_37_37 = all_0_66_66
% 33.77/8.77 |
% 33.77/8.77 | Instantiating formula (312) with e22, e22, all_0_96_96, all_0_37_37 and discharging atoms op2(e22, e22) = all_0_37_37, op2(e22, e22) = all_0_96_96, yields:
% 33.87/8.77 | (581) all_0_37_37 = all_0_96_96
% 33.87/8.77 |
% 33.87/8.77 | Instantiating formula (312) with e22, e21, e22, all_0_35_35 and discharging atoms op2(e22, e21) = all_0_35_35, op2(e22, e21) = e22, yields:
% 33.87/8.77 | (582) all_0_35_35 = e22
% 33.87/8.77 |
% 33.87/8.77 | Instantiating formula (312) with e21, e21, all_0_0_0, e23 and discharging atoms op2(e21, e21) = all_0_0_0, op2(e21, e21) = e23, yields:
% 33.87/8.77 | (554) all_0_0_0 = e23
% 33.87/8.77 |
% 33.87/8.77 | Instantiating formula (312) with e20, e22, all_0_97_97, e23 and discharging atoms op2(e20, e22) = all_0_97_97, op2(e20, e22) = e23, yields:
% 33.87/8.77 | (1646) all_0_97_97 = e23
% 33.87/8.77 |
% 33.87/8.77 | Combining equations (590,1943) yields a new equation:
% 33.87/8.77 | (1948) all_0_39_39 = all_0_66_66
% 33.87/8.77 |
% 33.87/8.77 | Simplifying 1948 yields:
% 33.87/8.77 | (1642) all_0_39_39 = all_0_66_66
% 33.87/8.77 |
% 33.87/8.77 | Combining equations (581,1943) yields a new equation:
% 33.87/8.77 | (1643) all_0_66_66 = all_0_96_96
% 33.87/8.77 |
% 33.87/8.77 | Combining equations (1642,592) yields a new equation:
% 33.87/8.77 | (1649) all_0_66_66 = e21
% 33.87/8.77 |
% 33.87/8.77 | Simplifying 1649 yields:
% 33.87/8.77 | (1650) all_0_66_66 = e21
% 33.87/8.77 |
% 33.87/8.77 | Combining equations (1650,1643) yields a new equation:
% 33.87/8.77 | (593) all_0_96_96 = e21
% 33.87/8.77 |
% 33.87/8.77 | From (1940) and (201) follows:
% 33.87/8.77 | (824) op2(e20, all_0_94_94) = all_0_14_14
% 33.87/8.77 |
% 33.87/8.77 | From (1940) and (81) follows:
% 33.87/8.77 | (1955) op2(e20, e23) = all_0_12_12
% 33.87/8.77 |
% 33.87/8.77 | From (1940) and (53) follows:
% 33.87/8.77 | (1956) op2(all_0_94_94, e20) = all_0_21_21
% 33.87/8.77 |
% 33.87/8.77 | From (593)(593) and (197) follows:
% 33.87/8.77 | (599) op2(e21, e21) = all_0_52_52
% 33.87/8.77 |
% 33.87/8.77 | From (593) and (508) follows:
% 33.87/8.77 | (601) op2(e21, e21) = all_0_46_46
% 33.87/8.77 |
% 33.87/8.77 | From (1646)(1646) and (306) follows:
% 33.87/8.77 | (1959) op2(e23, e23) = all_0_76_76
% 33.87/8.77 |
% 33.87/8.77 | From (1646) and (8) follows:
% 33.87/8.77 | (1960) op2(e23, all_0_98_98) = all_0_80_80
% 33.87/8.77 |
% 33.87/8.77 | From (1646) and (1622) follows:
% 33.87/8.77 | (1655) op2(e23, e22) = all_0_74_74
% 33.87/8.77 |
% 33.87/8.77 | From (1646) and (295) follows:
% 33.87/8.77 | (1656) op2(e23, e20) = all_0_78_78
% 33.87/8.77 |
% 33.87/8.77 | From (1646) and (110) follows:
% 33.87/8.77 | (1657) op2(all_0_98_98, e23) = all_0_87_87
% 33.87/8.77 |
% 33.87/8.77 | From (1940) and (190) follows:
% 33.87/8.77 | (827) op2(e23, e20) = all_0_94_94
% 33.87/8.77 |
% 33.87/8.77 | From (1940) and (739) follows:
% 33.87/8.77 | (828) op2(e23, e21) = e20
% 33.87/8.77 |
% 33.87/8.77 | From (593) and (113) follows:
% 33.87/8.77 | (604) op2(e22, e21) = all_0_45_45
% 33.87/8.77 |
% 33.87/8.77 | From (582) and (561) follows:
% 33.87/8.77 | (539) op2(e22, e21) = e22
% 33.87/8.77 |
% 33.87/8.77 | From (593) and (510) follows:
% 33.87/8.77 | (607) op2(e21, e21) = all_0_33_33
% 33.87/8.77 |
% 33.87/8.77 | From (554) and (737) follows:
% 33.87/8.77 | (224) op2(e21, e21) = e23
% 33.87/8.77 |
% 33.87/8.77 | From (1646) and (240) follows:
% 33.87/8.77 | (1663) op2(e20, e23) = all_0_98_98
% 33.87/8.77 |
% 33.87/8.77 | From (1646) and (1627) follows:
% 33.87/8.77 | (1414) op2(e20, e22) = e23
% 33.87/8.77 |
% 33.87/8.77 | Instantiating formula (312) with e23, e23, all_0_76_76, e21 and discharging atoms op2(e23, e23) = all_0_76_76, op2(e23, e23) = e21, yields:
% 33.87/8.77 | (1972) all_0_76_76 = e21
% 33.87/8.77 |
% 33.87/8.77 | Instantiating formula (312) with e23, e22, all_0_74_74, e22 and discharging atoms op2(e23, e22) = all_0_74_74, op2(e23, e22) = e22, yields:
% 33.87/8.77 | (548) all_0_74_74 = e22
% 33.87/8.77 |
% 33.87/8.77 | Instantiating formula (312) with e23, e20, all_0_78_78, e23 and discharging atoms op2(e23, e20) = all_0_78_78, op2(e23, e20) = e23, yields:
% 33.87/8.77 | (763) all_0_78_78 = e23
% 33.87/8.77 |
% 33.87/8.77 | Instantiating formula (312) with e23, e20, all_0_94_94, all_0_78_78 and discharging atoms op2(e23, e20) = all_0_78_78, op2(e23, e20) = all_0_94_94, yields:
% 33.87/8.77 | (1975) all_0_78_78 = all_0_94_94
% 33.87/8.77 |
% 33.87/8.77 | Instantiating formula (312) with e22, e21, all_0_45_45, e22 and discharging atoms op2(e22, e21) = all_0_45_45, op2(e22, e21) = e22, yields:
% 33.87/8.77 | (617) all_0_45_45 = e22
% 33.87/8.77 |
% 33.87/8.77 | Instantiating formula (312) with e21, e21, all_0_33_33, e23 and discharging atoms op2(e21, e21) = all_0_33_33, op2(e21, e21) = e23, yields:
% 33.87/8.77 | (913) all_0_33_33 = e23
% 33.87/8.77 |
% 33.87/8.77 | Instantiating formula (312) with e21, e21, all_0_46_46, all_0_33_33 and discharging atoms op2(e21, e21) = all_0_33_33, op2(e21, e21) = all_0_46_46, yields:
% 33.87/8.77 | (620) all_0_33_33 = all_0_46_46
% 33.87/8.77 |
% 33.87/8.77 | Instantiating formula (312) with e21, e21, all_0_52_52, all_0_46_46 and discharging atoms op2(e21, e21) = all_0_46_46, op2(e21, e21) = all_0_52_52, yields:
% 33.87/8.77 | (628) all_0_46_46 = all_0_52_52
% 33.87/8.77 |
% 33.87/8.77 | Instantiating formula (312) with e20, e23, all_0_12_12, e20 and discharging atoms op2(e20, e23) = all_0_12_12, op2(e20, e23) = e20, yields:
% 33.87/8.77 | (1562) all_0_12_12 = e20
% 33.87/8.77 |
% 33.87/8.77 | Instantiating formula (312) with e20, e23, all_0_98_98, all_0_12_12 and discharging atoms op2(e20, e23) = all_0_12_12, op2(e20, e23) = all_0_98_98, yields:
% 33.87/8.77 | (1981) all_0_12_12 = all_0_98_98
% 33.87/8.77 |
% 33.87/8.77 | Combining equations (1562,1981) yields a new equation:
% 33.87/8.77 | (553) all_0_98_98 = e20
% 33.87/8.77 |
% 33.87/8.77 | Combining equations (620,913) yields a new equation:
% 33.87/8.77 | (1983) all_0_46_46 = e23
% 33.87/8.77 |
% 33.87/8.77 | Simplifying 1983 yields:
% 33.87/8.77 | (619) all_0_46_46 = e23
% 33.87/8.77 |
% 33.87/8.77 | Combining equations (628,619) yields a new equation:
% 33.87/8.77 | (629) all_0_52_52 = e23
% 33.87/8.77 |
% 33.87/8.77 | Simplifying 629 yields:
% 33.87/8.77 | (630) all_0_52_52 = e23
% 33.87/8.77 |
% 33.87/8.77 | Combining equations (763,1975) yields a new equation:
% 33.87/8.77 | (576) all_0_94_94 = e23
% 33.87/8.77 |
% 33.87/8.77 | From (576)(576) and (323) follows:
% 33.87/8.77 | (597) op2(e23, e23) = all_0_25_25
% 33.87/8.77 |
% 33.87/8.77 | From (576) and (338) follows:
% 33.87/8.77 | (598) op2(e23, e23) = all_0_23_23
% 33.87/8.77 |
% 33.87/8.77 | From (576) and (734) follows:
% 33.87/8.77 | (1990) op2(e23, e21) = all_0_19_19
% 33.87/8.77 |
% 33.87/8.77 | From (576) and (1956) follows:
% 33.87/8.77 | (1991) op2(e23, e20) = all_0_21_21
% 33.87/8.77 |
% 33.87/8.77 | From (553) and (1657) follows:
% 33.87/8.77 | (1992) op2(e20, e23) = all_0_87_87
% 33.87/8.77 |
% 33.87/8.77 | From (553) and (1623) follows:
% 33.87/8.77 | (1993) op2(e20, e22) = all_0_85_85
% 33.87/8.77 |
% 33.87/8.77 | From (576) and (287) follows:
% 33.87/8.77 | (602) op2(e23, e23) = all_0_18_18
% 33.87/8.77 |
% 33.87/8.77 | From (553) and (1960) follows:
% 33.87/8.77 | (1995) op2(e23, e20) = all_0_80_80
% 33.87/8.77 |
% 33.87/8.77 | From (1972) and (1959) follows:
% 33.87/8.77 | (740) op2(e23, e23) = e21
% 33.87/8.77 |
% 33.87/8.77 | From (548) and (1655) follows:
% 33.87/8.77 | (1462) op2(e23, e22) = e22
% 33.87/8.77 |
% 33.87/8.77 | From (576) and (827) follows:
% 33.87/8.78 | (947) op2(e23, e20) = e23
% 33.87/8.78 |
% 33.87/8.78 | From (617) and (604) follows:
% 33.87/8.78 | (539) op2(e22, e21) = e22
% 33.87/8.78 |
% 33.87/8.78 | From (630) and (599) follows:
% 33.87/8.78 | (224) op2(e21, e21) = e23
% 33.87/8.78 |
% 33.87/8.78 | From (576) and (824) follows:
% 33.87/8.78 | (2001) op2(e20, e23) = all_0_14_14
% 33.87/8.78 |
% 33.87/8.78 | From (553) and (1663) follows:
% 33.87/8.78 | (1896) op2(e20, e23) = e20
% 33.87/8.78 |
% 33.87/8.78 | Instantiating formula (312) with e23, e23, all_0_23_23, e21 and discharging atoms op2(e23, e23) = all_0_23_23, op2(e23, e23) = e21, yields:
% 33.87/8.78 | (1195) all_0_23_23 = e21
% 33.87/8.78 |
% 33.87/8.78 | Instantiating formula (312) with e23, e23, all_0_23_23, all_0_18_18 and discharging atoms op2(e23, e23) = all_0_18_18, op2(e23, e23) = all_0_23_23, yields:
% 33.87/8.78 | (614) all_0_18_18 = all_0_23_23
% 33.87/8.78 |
% 33.87/8.78 | Instantiating formula (312) with e23, e23, all_0_25_25, all_0_18_18 and discharging atoms op2(e23, e23) = all_0_18_18, op2(e23, e23) = all_0_25_25, yields:
% 33.87/8.78 | (615) all_0_18_18 = all_0_25_25
% 33.87/8.78 |
% 33.87/8.78 | Instantiating formula (312) with e23, e21, all_0_19_19, e20 and discharging atoms op2(e23, e21) = all_0_19_19, op2(e23, e21) = e20, yields:
% 33.87/8.78 | (2006) all_0_19_19 = e20
% 33.87/8.78 |
% 33.87/8.78 | Instantiating formula (312) with e23, e20, all_0_21_21, e23 and discharging atoms op2(e23, e20) = all_0_21_21, op2(e23, e20) = e23, yields:
% 33.87/8.78 | (2007) all_0_21_21 = e23
% 33.87/8.78 |
% 33.87/8.78 | Instantiating formula (312) with e23, e20, all_0_80_80, all_0_21_21 and discharging atoms op2(e23, e20) = all_0_21_21, op2(e23, e20) = all_0_80_80, yields:
% 33.87/8.78 | (2008) all_0_21_21 = all_0_80_80
% 33.87/8.78 |
% 33.87/8.78 | Instantiating formula (312) with e20, e23, all_0_14_14, e20 and discharging atoms op2(e20, e23) = all_0_14_14, op2(e20, e23) = e20, yields:
% 33.87/8.78 | (2009) all_0_14_14 = e20
% 33.87/8.78 |
% 33.87/8.78 | Instantiating formula (312) with e20, e23, all_0_87_87, all_0_14_14 and discharging atoms op2(e20, e23) = all_0_14_14, op2(e20, e23) = all_0_87_87, yields:
% 33.87/8.78 | (2010) all_0_14_14 = all_0_87_87
% 33.87/8.78 |
% 33.87/8.78 | Instantiating formula (312) with e20, e22, all_0_85_85, e23 and discharging atoms op2(e20, e22) = all_0_85_85, op2(e20, e22) = e23, yields:
% 33.87/8.78 | (2011) all_0_85_85 = e23
% 33.87/8.78 |
% 33.87/8.78 | Combining equations (2010,2009) yields a new equation:
% 33.87/8.78 | (2012) all_0_87_87 = e20
% 33.87/8.78 |
% 33.87/8.78 | Simplifying 2012 yields:
% 33.87/8.78 | (2013) all_0_87_87 = e20
% 33.87/8.78 |
% 33.87/8.78 | Combining equations (614,615) yields a new equation:
% 33.87/8.78 | (623) all_0_23_23 = all_0_25_25
% 33.87/8.78 |
% 33.87/8.78 | Simplifying 623 yields:
% 33.87/8.78 | (624) all_0_23_23 = all_0_25_25
% 33.87/8.78 |
% 33.87/8.78 | Combining equations (2007,2008) yields a new equation:
% 33.87/8.78 | (2016) all_0_80_80 = e23
% 33.87/8.78 |
% 33.87/8.78 | Combining equations (1195,624) yields a new equation:
% 33.87/8.78 | (1205) all_0_25_25 = e21
% 33.87/8.78 |
% 33.87/8.78 | From (1205) and (597) follows:
% 33.87/8.78 | (740) op2(e23, e23) = e21
% 33.87/8.78 |
% 33.87/8.78 | From (2006) and (1990) follows:
% 33.87/8.78 | (828) op2(e23, e21) = e20
% 33.87/8.78 |
% 33.87/8.78 | From (2016) and (1995) follows:
% 33.87/8.78 | (947) op2(e23, e20) = e23
% 33.87/8.78 |
% 33.87/8.78 | From (2013) and (1992) follows:
% 33.87/8.78 | (1896) op2(e20, e23) = e20
% 33.87/8.78 |
% 33.87/8.78 | From (2011) and (1993) follows:
% 33.87/8.78 | (1414) op2(e20, e22) = e23
% 33.87/8.78 |
% 33.87/8.78 +-Applying beta-rule and splitting (277), into two cases.
% 33.87/8.78 |-Branch one:
% 33.87/8.78 | (637) unit2 = e23
% 33.87/8.78 |
% 33.87/8.78 | From (637) and (172) follows:
% 33.87/8.78 | (923) op2(e23, e20) = e20
% 33.87/8.78 |
% 33.87/8.78 | From (637) and (38) follows:
% 33.87/8.78 | (638) op2(e23, e23) = e23
% 33.87/8.78 |
% 33.87/8.78 | Instantiating formula (312) with e23, e23, e23, e21 and discharging atoms op2(e23, e23) = e23, op2(e23, e23) = e21, yields:
% 33.87/8.78 | (482) e23 = e21
% 33.87/8.78 |
% 33.87/8.78 | Instantiating formula (312) with e23, e20, e20, e23 and discharging atoms op2(e23, e20) = e23, op2(e23, e20) = e20, yields:
% 33.87/8.78 | (521) e23 = e20
% 33.87/8.78 |
% 33.87/8.78 | Combining equations (521,482) yields a new equation:
% 33.87/8.78 | (476) e21 = e20
% 33.87/8.78 |
% 33.87/8.78 | Equations (476) can reduce 280 to:
% 33.87/8.78 | (401) $false
% 33.87/8.78 |
% 33.87/8.78 |-The branch is then unsatisfiable
% 33.87/8.78 |-Branch two:
% 33.87/8.78 | (649) ~ (unit2 = e23)
% 33.87/8.78 | (650) unit2 = e22 | unit2 = e21 | unit2 = e20
% 33.87/8.78 |
% 33.87/8.78 +-Applying beta-rule and splitting (650), into two cases.
% 33.87/8.78 |-Branch one:
% 33.87/8.78 | (651) unit2 = e22
% 33.87/8.78 |
% 33.87/8.78 | From (651) and (171) follows:
% 33.87/8.78 | (652) op2(e22, e21) = e21
% 33.87/8.78 |
% 33.87/8.78 | From (651) and (38) follows:
% 33.87/8.78 | (412) op2(e23, e22) = e23
% 33.87/8.78 |
% 33.87/8.78 | From (651) and (202) follows:
% 33.87/8.78 | (653) op2(e20, e22) = e20
% 33.87/8.78 |
% 33.87/8.78 | Instantiating formula (312) with e23, e22, e23, e22 and discharging atoms op2(e23, e22) = e23, op2(e23, e22) = e22, yields:
% 33.87/8.78 | (442) e23 = e22
% 33.87/8.78 |
% 33.87/8.78 | Instantiating formula (312) with e22, e21, e21, e22 and discharging atoms op2(e22, e21) = e22, op2(e22, e21) = e21, yields:
% 33.87/8.78 | (533) e22 = e21
% 33.87/8.78 |
% 33.87/8.78 | Instantiating formula (312) with e20, e22, e20, e23 and discharging atoms op2(e20, e22) = e23, op2(e20, e22) = e20, yields:
% 33.87/8.78 | (521) e23 = e20
% 33.87/8.78 |
% 33.87/8.78 | Combining equations (442,521) yields a new equation:
% 33.87/8.78 | (644) e22 = e20
% 33.87/8.78 |
% 33.87/8.78 | Simplifying 644 yields:
% 33.87/8.78 | (645) e22 = e20
% 33.87/8.78 |
% 33.87/8.78 | Combining equations (645,533) yields a new equation:
% 33.87/8.78 | (476) e21 = e20
% 33.87/8.78 |
% 33.87/8.78 | Equations (476) can reduce 280 to:
% 33.87/8.78 | (401) $false
% 33.87/8.78 |
% 33.87/8.78 |-The branch is then unsatisfiable
% 33.87/8.78 |-Branch two:
% 33.87/8.78 | (658) ~ (unit2 = e22)
% 33.87/8.78 | (659) unit2 = e21 | unit2 = e20
% 33.87/8.78 |
% 33.87/8.78 +-Applying beta-rule and splitting (659), into two cases.
% 33.87/8.78 |-Branch one:
% 33.87/8.78 | (660) unit2 = e20
% 33.87/8.78 |
% 33.87/8.78 | Equations (660) can reduce 658 to:
% 33.87/8.78 | (751) ~ (e22 = e20)
% 33.87/8.78 |
% 33.87/8.78 | Simplifying 751 yields:
% 33.87/8.78 | (304) ~ (e22 = e20)
% 33.87/8.78 |
% 33.87/8.78 | From (660) and (299) follows:
% 33.87/8.78 | (661) op2(e20, e23) = e23
% 33.87/8.78 |
% 33.87/8.78 | From (660) and (23) follows:
% 33.87/8.78 | (474) op2(e20, e22) = e22
% 33.87/8.78 |
% 33.87/8.78 | Instantiating formula (312) with e20, e23, e23, e20 and discharging atoms op2(e20, e23) = e23, op2(e20, e23) = e20, yields:
% 33.87/8.78 | (521) e23 = e20
% 33.87/8.78 |
% 33.87/8.78 | Instantiating formula (312) with e20, e22, e22, e23 and discharging atoms op2(e20, e22) = e23, op2(e20, e22) = e22, yields:
% 33.87/8.78 | (442) e23 = e22
% 33.87/8.78 |
% 33.87/8.78 | Combining equations (521,442) yields a new equation:
% 33.87/8.78 | (645) e22 = e20
% 33.87/8.78 |
% 33.87/8.78 | Equations (645) can reduce 304 to:
% 33.87/8.78 | (401) $false
% 33.87/8.78 |
% 33.87/8.78 |-The branch is then unsatisfiable
% 33.87/8.78 |-Branch two:
% 33.87/8.78 | (668) ~ (unit2 = e20)
% 33.87/8.78 | (669) unit2 = e21
% 33.87/8.78 |
% 33.87/8.78 | Equations (669) can reduce 668 to:
% 33.87/8.78 | (280) ~ (e21 = e20)
% 33.87/8.78 |
% 33.87/8.78 | From (669) and (38) follows:
% 33.87/8.78 | (956) op2(e23, e21) = e23
% 33.87/8.78 |
% 33.87/8.78 | From (669) and (105) follows:
% 33.87/8.78 | (673) op2(e21, e21) = e21
% 33.87/8.78 |
% 33.87/8.78 | Instantiating formula (312) with e23, e21, e23, e20 and discharging atoms op2(e23, e21) = e23, op2(e23, e21) = e20, yields:
% 33.87/8.78 | (521) e23 = e20
% 33.87/8.78 |
% 33.87/8.78 | Instantiating formula (312) with e21, e21, e21, e23 and discharging atoms op2(e21, e21) = e23, op2(e21, e21) = e21, yields:
% 33.87/8.78 | (482) e23 = e21
% 33.87/8.78 |
% 33.87/8.78 | Combining equations (482,521) yields a new equation:
% 33.87/8.78 | (646) e21 = e20
% 33.87/8.78 |
% 33.87/8.78 | Simplifying 646 yields:
% 33.87/8.78 | (476) e21 = e20
% 33.87/8.78 |
% 33.87/8.78 | Equations (476) can reduce 280 to:
% 33.87/8.78 | (401) $false
% 33.87/8.78 |
% 33.87/8.78 |-The branch is then unsatisfiable
% 33.87/8.78 |-Branch two:
% 33.87/8.78 | (1765) ~ (all_0_110_110 = e22)
% 33.87/8.78 | (687) all_0_110_110 = e20
% 33.87/8.78 |
% 33.87/8.78 | Equations (687) can reduce 1893 to:
% 33.87/8.78 | (401) $false
% 33.87/8.78 |
% 33.87/8.78 |-The branch is then unsatisfiable
% 33.87/8.78 |-Branch two:
% 33.87/8.78 | (1086) ~ (all_0_101_101 = e20)
% 33.87/8.78 | (1129) all_0_105_105 = e20 | all_0_109_109 = e20
% 33.87/8.78 |
% 33.87/8.78 +-Applying beta-rule and splitting (1284), into two cases.
% 33.87/8.78 |-Branch one:
% 33.87/8.78 | (821) all_0_101_101 = e20
% 33.87/8.78 |
% 33.87/8.78 | Equations (821) can reduce 1086 to:
% 33.87/8.78 | (401) $false
% 33.87/8.78 |
% 33.87/8.78 |-The branch is then unsatisfiable
% 33.87/8.78 |-Branch two:
% 33.87/8.78 | (1086) ~ (all_0_101_101 = e20)
% 33.87/8.78 | (526) all_0_101_101 = e21
% 33.87/8.78 |
% 33.87/8.78 | Equations (526) can reduce 690 to:
% 33.87/8.78 | (401) $false
% 33.87/8.78 |
% 33.87/8.78 |-The branch is then unsatisfiable
% 33.87/8.78 |-Branch two:
% 33.87/8.78 | (682) ~ (all_0_105_105 = e22)
% 33.87/8.78 | (969) all_0_105_105 = e21 | all_0_105_105 = e20
% 33.87/8.78 |
% 33.87/8.78 +-Applying beta-rule and splitting (12), into two cases.
% 33.87/8.78 |-Branch one:
% 33.87/8.78 | (532) all_0_104_104 = e22
% 33.87/8.78 |
% 33.87/8.78 | Combining equations (532,499) yields a new equation:
% 33.87/8.78 | (677) e22 = e21
% 33.87/8.78 |
% 33.87/8.78 | Simplifying 677 yields:
% 33.87/8.78 | (533) e22 = e21
% 33.87/8.78 |
% 33.87/8.78 | Equations (533) can reduce 28 to:
% 33.87/8.78 | (401) $false
% 33.87/8.78 |
% 33.87/8.78 |-The branch is then unsatisfiable
% 33.87/8.78 |-Branch two:
% 33.87/8.78 | (471) ~ (all_0_104_104 = e22)
% 33.87/8.78 | (536) all_0_105_105 = e22 | all_0_106_106 = e22
% 33.87/8.78 |
% 33.87/8.78 +-Applying beta-rule and splitting (1386), into two cases.
% 33.87/8.78 |-Branch one:
% 33.87/8.78 | (1082) all_0_110_110 = e22
% 33.87/8.78 |
% 33.87/8.78 | Equations (1082) can reduce 1893 to:
% 33.87/8.78 | (304) ~ (e22 = e20)
% 33.87/8.78 |
% 33.87/8.78 +-Applying beta-rule and splitting (536), into two cases.
% 33.87/8.78 |-Branch one:
% 33.87/8.78 | (537) all_0_105_105 = e22
% 33.87/8.78 |
% 33.87/8.78 | Equations (537) can reduce 682 to:
% 33.87/8.78 | (401) $false
% 33.87/8.78 |
% 33.87/8.78 |-The branch is then unsatisfiable
% 33.87/8.78 |-Branch two:
% 33.87/8.78 | (682) ~ (all_0_105_105 = e22)
% 33.87/8.78 | (683) all_0_106_106 = e22
% 33.87/8.78 |
% 33.87/8.78 | Combining equations (529,683) yields a new equation:
% 33.87/8.78 | (645) e22 = e20
% 33.87/8.78 |
% 33.87/8.78 | Equations (645) can reduce 304 to:
% 33.87/8.78 | (401) $false
% 33.87/8.78 |
% 33.87/8.78 |-The branch is then unsatisfiable
% 33.87/8.78 |-Branch two:
% 33.87/8.78 | (1765) ~ (all_0_110_110 = e22)
% 33.87/8.78 | (687) all_0_110_110 = e20
% 33.87/8.78 |
% 33.87/8.78 | Equations (687) can reduce 1893 to:
% 33.87/8.78 | (401) $false
% 33.87/8.78 |
% 33.87/8.78 |-The branch is then unsatisfiable
% 33.87/8.78 |-Branch two:
% 33.87/8.78 | (686) ~ (all_0_106_106 = e20)
% 33.87/8.78 | (687) all_0_110_110 = e20
% 33.87/8.78 |
% 33.87/8.78 | Equations (687) can reduce 1893 to:
% 33.87/8.78 | (401) $false
% 33.87/8.78 |
% 33.87/8.78 |-The branch is then unsatisfiable
% 33.87/8.78 |-Branch two:
% 33.87/8.78 | (478) ~ (all_0_99_99 = e21)
% 33.87/8.78 | (479) all_0_103_103 = e21 | all_0_107_107 = e21
% 33.87/8.78 |
% 33.87/8.78 +-Applying beta-rule and splitting (518), into two cases.
% 33.87/8.78 |-Branch one:
% 33.87/8.78 | (529) all_0_106_106 = e20
% 33.87/8.78 |
% 33.87/8.78 | Equations (529) can reduce 131 to:
% 33.87/8.78 | (1892) ~ (all_0_110_110 = e20)
% 33.87/8.78 |
% 33.87/8.78 | Simplifying 1892 yields:
% 33.87/8.78 | (1893) ~ (all_0_110_110 = e20)
% 33.87/8.78 |
% 33.87/8.78 | Equations (529) can reduce 358 to:
% 33.87/8.78 | (530) ~ (e21 = e20)
% 33.87/8.78 |
% 33.87/8.78 | Simplifying 530 yields:
% 33.87/8.78 | (280) ~ (e21 = e20)
% 33.87/8.78 |
% 33.87/8.78 +-Applying beta-rule and splitting (341), into two cases.
% 33.87/8.78 |-Branch one:
% 33.87/8.78 | (537) all_0_105_105 = e22
% 33.87/8.79 |
% 33.87/8.79 | Equations (537) can reduce 178 to:
% 33.87/8.79 | (543) ~ (all_0_101_101 = e22)
% 33.87/8.79 |
% 33.87/8.79 +-Applying beta-rule and splitting (98), into two cases.
% 33.87/8.79 |-Branch one:
% 33.87/8.79 | (475) all_0_99_99 = e21
% 33.87/8.79 |
% 33.87/8.79 | Equations (475) can reduce 478 to:
% 33.87/8.79 | (401) $false
% 33.87/8.79 |
% 33.87/8.79 |-The branch is then unsatisfiable
% 33.87/8.79 |-Branch two:
% 33.87/8.79 | (478) ~ (all_0_99_99 = e21)
% 33.87/8.79 | (1536) all_0_100_100 = e21 | all_0_101_101 = e21
% 33.87/8.79 |
% 33.87/8.79 +-Applying beta-rule and splitting (96), into two cases.
% 33.87/8.79 |-Branch one:
% 33.87/8.79 | (485) all_0_107_107 = e21
% 33.87/8.79 |
% 33.87/8.79 | Combining equations (460,485) yields a new equation:
% 33.87/8.79 | (476) e21 = e20
% 33.87/8.79 |
% 33.87/8.79 | Equations (476) can reduce 280 to:
% 33.87/8.79 | (401) $false
% 33.87/8.79 |
% 33.87/8.79 |-The branch is then unsatisfiable
% 33.87/8.79 |-Branch two:
% 33.87/8.79 | (709) ~ (all_0_107_107 = e21)
% 33.87/8.79 | (1147) all_0_108_108 = e21 | all_0_109_109 = e21
% 33.87/8.79 |
% 33.87/8.79 +-Applying beta-rule and splitting (1147), into two cases.
% 33.87/8.79 |-Branch one:
% 33.87/8.79 | (699) all_0_108_108 = e21
% 33.87/8.79 |
% 33.87/8.79 | Combining equations (699,421) yields a new equation:
% 33.87/8.79 | (482) e23 = e21
% 33.87/8.79 |
% 33.87/8.79 | Equations (482) can reduce 279 to:
% 33.87/8.79 | (401) $false
% 33.87/8.79 |
% 33.87/8.79 |-The branch is then unsatisfiable
% 33.87/8.79 |-Branch two:
% 33.87/8.79 | (2117) ~ (all_0_108_108 = e21)
% 33.87/8.79 | (695) all_0_109_109 = e21
% 33.87/8.79 |
% 33.87/8.79 | Equations (695) can reduce 146 to:
% 33.87/8.79 | (690) ~ (all_0_101_101 = e21)
% 33.87/8.79 |
% 33.87/8.79 | Equations (695) can reduce 179 to:
% 33.87/8.79 | (1526) ~ (all_0_110_110 = e21)
% 33.87/8.79 |
% 33.87/8.79 | Simplifying 1526 yields:
% 33.87/8.79 | (58) ~ (all_0_110_110 = e21)
% 33.87/8.79 |
% 33.87/8.79 +-Applying beta-rule and splitting (114), into two cases.
% 33.87/8.79 |-Branch one:
% 33.87/8.79 | (540) all_0_101_101 = e22
% 33.87/8.79 |
% 33.87/8.79 | Equations (540) can reduce 543 to:
% 33.87/8.79 | (401) $false
% 33.87/8.79 |
% 33.87/8.79 |-The branch is then unsatisfiable
% 33.87/8.79 |-Branch two:
% 33.87/8.79 | (543) ~ (all_0_101_101 = e22)
% 33.87/8.79 | (1284) all_0_101_101 = e21 | all_0_101_101 = e20
% 33.87/8.79 |
% 33.87/8.79 +-Applying beta-rule and splitting (1284), into two cases.
% 33.87/8.79 |-Branch one:
% 33.87/8.79 | (821) all_0_101_101 = e20
% 33.87/8.79 |
% 33.87/8.79 | Equations (821) can reduce 690 to:
% 33.87/8.79 | (530) ~ (e21 = e20)
% 33.87/8.79 |
% 33.87/8.79 | Simplifying 530 yields:
% 33.87/8.79 | (280) ~ (e21 = e20)
% 33.87/8.79 |
% 33.87/8.79 +-Applying beta-rule and splitting (1386), into two cases.
% 33.87/8.79 |-Branch one:
% 33.87/8.79 | (1082) all_0_110_110 = e22
% 33.87/8.79 |
% 33.87/8.79 | Equations (1082) can reduce 58 to:
% 33.87/8.79 | (28) ~ (e22 = e21)
% 33.87/8.79 |
% 33.87/8.79 +-Applying beta-rule and splitting (1536), into two cases.
% 33.87/8.79 |-Branch one:
% 33.87/8.79 | (494) all_0_100_100 = e21
% 33.87/8.79 |
% 33.87/8.79 | Combining equations (441,494) yields a new equation:
% 33.87/8.79 | (677) e22 = e21
% 33.87/8.79 |
% 33.87/8.79 | Simplifying 677 yields:
% 33.87/8.79 | (533) e22 = e21
% 33.87/8.79 |
% 33.87/8.79 | Equations (533) can reduce 28 to:
% 33.87/8.79 | (401) $false
% 33.87/8.79 |
% 33.87/8.79 |-The branch is then unsatisfiable
% 33.87/8.79 |-Branch two:
% 33.87/8.79 | (497) ~ (all_0_100_100 = e21)
% 33.87/8.79 | (526) all_0_101_101 = e21
% 33.87/8.79 |
% 33.87/8.79 | Combining equations (821,526) yields a new equation:
% 33.87/8.79 | (476) e21 = e20
% 33.87/8.79 |
% 33.87/8.79 | Equations (476) can reduce 280 to:
% 33.87/8.79 | (401) $false
% 33.87/8.79 |
% 33.87/8.79 |-The branch is then unsatisfiable
% 33.87/8.79 |-Branch two:
% 33.87/8.79 | (1765) ~ (all_0_110_110 = e22)
% 33.87/8.79 | (687) all_0_110_110 = e20
% 33.87/8.79 |
% 33.87/8.79 | Equations (687) can reduce 1893 to:
% 33.87/8.79 | (401) $false
% 33.87/8.79 |
% 33.87/8.79 |-The branch is then unsatisfiable
% 33.87/8.79 |-Branch two:
% 33.87/8.79 | (1086) ~ (all_0_101_101 = e20)
% 33.87/8.79 | (526) all_0_101_101 = e21
% 33.87/8.79 |
% 33.87/8.79 | Equations (526) can reduce 690 to:
% 33.87/8.79 | (401) $false
% 33.87/8.79 |
% 33.87/8.79 |-The branch is then unsatisfiable
% 33.87/8.79 |-Branch two:
% 33.87/8.79 | (682) ~ (all_0_105_105 = e22)
% 33.87/8.79 | (969) all_0_105_105 = e21 | all_0_105_105 = e20
% 33.87/8.79 |
% 33.87/8.79 +-Applying beta-rule and splitting (12), into two cases.
% 33.87/8.79 |-Branch one:
% 33.87/8.79 | (532) all_0_104_104 = e22
% 33.87/8.79 |
% 33.87/8.79 | Combining equations (499,532) yields a new equation:
% 33.87/8.79 | (533) e22 = e21
% 33.87/8.79 |
% 33.87/8.79 | Equations (533) can reduce 28 to:
% 33.87/8.79 | (401) $false
% 33.87/8.79 |
% 33.87/8.79 |-The branch is then unsatisfiable
% 33.87/8.79 |-Branch two:
% 33.87/8.79 | (471) ~ (all_0_104_104 = e22)
% 33.87/8.79 | (536) all_0_105_105 = e22 | all_0_106_106 = e22
% 33.87/8.79 |
% 33.87/8.79 +-Applying beta-rule and splitting (536), into two cases.
% 33.87/8.79 |-Branch one:
% 33.87/8.79 | (537) all_0_105_105 = e22
% 33.87/8.79 |
% 33.87/8.79 | Equations (537) can reduce 682 to:
% 33.87/8.79 | (401) $false
% 33.87/8.79 |
% 33.87/8.79 |-The branch is then unsatisfiable
% 33.87/8.79 |-Branch two:
% 33.87/8.79 | (682) ~ (all_0_105_105 = e22)
% 33.87/8.79 | (683) all_0_106_106 = e22
% 33.87/8.79 |
% 33.87/8.79 | Combining equations (529,683) yields a new equation:
% 33.87/8.79 | (645) e22 = e20
% 33.87/8.79 |
% 33.87/8.79 | Equations (645) can reduce 304 to:
% 33.87/8.79 | (401) $false
% 33.87/8.79 |
% 33.87/8.79 |-The branch is then unsatisfiable
% 33.87/8.79 |-Branch two:
% 33.87/8.79 | (686) ~ (all_0_106_106 = e20)
% 33.87/8.79 | (687) all_0_110_110 = e20
% 33.87/8.79 |
% 33.87/8.79 | Equations (687) can reduce 1893 to:
% 33.87/8.79 | (401) $false
% 33.87/8.79 |
% 33.87/8.79 |-The branch is then unsatisfiable
% 33.87/8.79 |-Branch two:
% 33.87/8.79 | (698) ~ (all_0_104_104 = e21)
% 33.87/8.79 | (699) all_0_108_108 = e21
% 33.87/8.79 |
% 33.87/8.79 | Combining equations (699,421) yields a new equation:
% 33.87/8.79 | (482) e23 = e21
% 33.87/8.79 |
% 33.87/8.79 | Equations (482) can reduce 279 to:
% 33.87/8.79 | (401) $false
% 33.87/8.79 |
% 33.87/8.79 |-The branch is then unsatisfiable
% 33.87/8.79 |-Branch two:
% 33.87/8.79 | (444) ~ (all_0_100_100 = e22)
% 33.87/8.79 | (800) all_0_104_104 = e22 | all_0_108_108 = e22
% 33.87/8.79 |
% 33.87/8.79 +-Applying beta-rule and splitting (124), into two cases.
% 33.87/8.79 |-Branch one:
% 33.87/8.79 | (441) all_0_100_100 = e22
% 33.87/8.79 |
% 33.87/8.79 | Equations (441) can reduce 444 to:
% 33.87/8.79 | (401) $false
% 33.87/8.79 |
% 33.87/8.79 |-The branch is then unsatisfiable
% 33.87/8.79 |-Branch two:
% 33.87/8.79 | (444) ~ (all_0_100_100 = e22)
% 33.87/8.79 | (445) all_0_101_101 = e22 | all_0_102_102 = e22
% 33.87/8.79 |
% 33.87/8.79 +-Applying beta-rule and splitting (445), into two cases.
% 33.87/8.79 |-Branch one:
% 33.87/8.79 | (540) all_0_101_101 = e22
% 33.87/8.79 |
% 33.87/8.79 | Equations (540) can reduce 146 to:
% 33.87/8.79 | (854) ~ (all_0_109_109 = e22)
% 33.87/8.79 |
% 33.87/8.79 | Simplifying 854 yields:
% 33.87/8.79 | (855) ~ (all_0_109_109 = e22)
% 33.87/8.79 |
% 33.87/8.79 | Equations (540) can reduce 3 to:
% 33.87/8.79 | (805) ~ (e23 = e22)
% 33.87/8.79 |
% 33.87/8.79 | Simplifying 805 yields:
% 33.87/8.79 | (108) ~ (e23 = e22)
% 33.87/8.79 |
% 33.87/8.79 +-Applying beta-rule and splitting (311), into two cases.
% 33.87/8.79 |-Branch one:
% 33.87/8.79 | (447) all_0_99_99 = e20
% 33.87/8.79 |
% 33.87/8.79 | Equations (447) can reduce 4 to:
% 33.87/8.79 | (450) ~ (all_0_107_107 = e20)
% 33.87/8.79 |
% 33.87/8.79 | Simplifying 450 yields:
% 33.87/8.79 | (451) ~ (all_0_107_107 = e20)
% 33.87/8.79 |
% 33.87/8.79 | From (447) and (39) follows:
% 33.87/8.79 | (1504) op2(all_0_93_93, e20) = all_0_8_8
% 33.87/8.79 |
% 33.87/8.79 | From (447) and (11) follows:
% 33.87/8.79 | (1505) op2(all_0_94_94, e20) = all_0_19_19
% 33.87/8.79 |
% 33.87/8.79 | From (447) and (150) follows:
% 33.87/8.79 | (454) op2(e20, all_0_93_93) = all_0_2_2
% 33.87/8.79 |
% 33.87/8.79 | From (447) and (40) follows:
% 33.87/8.79 | (455) op2(e20, all_0_94_94) = all_0_6_6
% 33.87/8.79 |
% 33.87/8.79 | From (447)(447) and (292) follows:
% 33.87/8.79 | (456) op2(e20, e20) = all_0_0_0
% 33.87/8.79 |
% 33.87/8.79 | From (447) and (344) follows:
% 33.87/8.79 | (457) op2(e20, e23) = all_0_4_4
% 33.87/8.79 |
% 33.87/8.79 | From (447) and (79) follows:
% 33.87/8.79 | (458) op2(e23, e20) = all_0_93_93
% 33.87/8.79 |
% 33.87/8.79 | From (447) and (209) follows:
% 33.87/8.79 | (459) op2(e23, e23) = e20
% 33.87/8.79 |
% 33.87/8.79 +-Applying beta-rule and splitting (428), into two cases.
% 33.87/8.79 |-Branch one:
% 33.87/8.79 | (460) all_0_107_107 = e20
% 33.87/8.79 |
% 33.87/8.79 | Equations (460) can reduce 451 to:
% 33.87/8.79 | (401) $false
% 33.87/8.79 |
% 33.87/8.79 |-The branch is then unsatisfiable
% 33.87/8.79 |-Branch two:
% 33.87/8.79 | (451) ~ (all_0_107_107 = e20)
% 33.87/8.79 | (485) all_0_107_107 = e21
% 33.87/8.79 |
% 33.87/8.79 | From (485) and (120) follows:
% 33.87/8.79 | (493) op2(e20, e23) = e21
% 33.87/8.79 |
% 33.87/8.79 +-Applying beta-rule and splitting (800), into two cases.
% 33.87/8.79 |-Branch one:
% 33.87/8.79 | (532) all_0_104_104 = e22
% 33.87/8.79 |
% 33.87/8.79 | Equations (532) can reduce 48 to:
% 33.87/8.79 | (444) ~ (all_0_100_100 = e22)
% 33.87/8.79 |
% 33.87/8.79 | Equations (532) can reduce 54 to:
% 33.87/8.79 | (1006) ~ (all_0_105_105 = e22)
% 33.87/8.79 |
% 33.87/8.79 | Simplifying 1006 yields:
% 33.87/8.79 | (682) ~ (all_0_105_105 = e22)
% 33.87/8.79 |
% 33.87/8.79 +-Applying beta-rule and splitting (283), into two cases.
% 33.87/8.79 |-Branch one:
% 33.87/8.79 | (494) all_0_100_100 = e21
% 33.87/8.79 |
% 33.87/8.79 | Equations (494) can reduce 1365 to:
% 33.87/8.79 | (486) ~ (e23 = e21)
% 33.87/8.79 |
% 33.87/8.79 | Simplifying 486 yields:
% 33.87/8.79 | (279) ~ (e23 = e21)
% 33.87/8.79 |
% 33.87/8.79 | Equations (494) can reduce 444 to:
% 33.87/8.79 | (488) ~ (e22 = e21)
% 33.87/8.79 |
% 33.87/8.79 | Simplifying 488 yields:
% 33.87/8.79 | (28) ~ (e22 = e21)
% 33.87/8.79 |
% 33.87/8.79 | From (494) and (230) follows:
% 33.87/8.79 | (2201) op2(e23, e22) = e21
% 33.87/8.79 |
% 33.87/8.79 +-Applying beta-rule and splitting (50), into two cases.
% 33.87/8.79 |-Branch one:
% 33.87/8.79 | (480) all_0_103_103 = e21
% 33.87/8.79 |
% 33.87/8.79 | Combining equations (413,480) yields a new equation:
% 33.87/8.79 | (481) e23 = e21
% 33.87/8.79 |
% 33.87/8.79 | Simplifying 481 yields:
% 33.87/8.79 | (482) e23 = e21
% 33.87/8.79 |
% 33.87/8.79 | Equations (482) can reduce 279 to:
% 33.87/8.79 | (401) $false
% 33.87/8.79 |
% 33.87/8.79 |-The branch is then unsatisfiable
% 33.87/8.79 |-Branch two:
% 33.87/8.79 | (484) ~ (all_0_103_103 = e21)
% 33.87/8.79 | (883) all_0_104_104 = e21 | all_0_105_105 = e21
% 33.87/8.79 |
% 33.87/8.79 +-Applying beta-rule and splitting (883), into two cases.
% 33.87/8.79 |-Branch one:
% 33.87/8.79 | (499) all_0_104_104 = e21
% 33.87/8.79 |
% 33.87/8.79 | Combining equations (532,499) yields a new equation:
% 33.87/8.79 | (677) e22 = e21
% 33.87/8.79 |
% 33.87/8.79 | Simplifying 677 yields:
% 33.87/8.79 | (533) e22 = e21
% 33.87/8.79 |
% 33.87/8.79 | Equations (533) can reduce 28 to:
% 33.87/8.79 | (401) $false
% 33.87/8.79 |
% 33.87/8.79 |-The branch is then unsatisfiable
% 33.87/8.79 |-Branch two:
% 33.87/8.79 | (698) ~ (all_0_104_104 = e21)
% 33.87/8.79 | (692) all_0_105_105 = e21
% 33.87/8.79 |
% 33.87/8.79 | Equations (692) can reduce 241 to:
% 33.87/8.79 | (502) ~ (all_0_106_106 = e21)
% 33.87/8.79 |
% 33.87/8.79 | Simplifying 502 yields:
% 33.87/8.79 | (358) ~ (all_0_106_106 = e21)
% 33.87/8.79 |
% 33.87/8.79 | Equations (692) can reduce 245 to:
% 33.87/8.79 | (1540) ~ (all_0_109_109 = e21)
% 33.87/8.79 |
% 33.87/8.79 | Simplifying 1540 yields:
% 33.87/8.79 | (1541) ~ (all_0_109_109 = e21)
% 33.87/8.79 |
% 33.87/8.79 +-Applying beta-rule and splitting (13), into two cases.
% 33.87/8.79 |-Branch one:
% 33.87/8.79 | (857) all_0_109_109 = e22
% 33.87/8.79 |
% 33.87/8.79 | Equations (857) can reduce 855 to:
% 33.87/8.79 | (401) $false
% 33.87/8.79 |
% 33.87/8.79 |-The branch is then unsatisfiable
% 33.87/8.79 |-Branch two:
% 33.87/8.79 | (855) ~ (all_0_109_109 = e22)
% 33.87/8.79 | (860) all_0_109_109 = e21 | all_0_109_109 = e20
% 33.87/8.79 |
% 33.87/8.79 +-Applying beta-rule and splitting (860), into two cases.
% 33.87/8.79 |-Branch one:
% 33.87/8.79 | (464) all_0_109_109 = e20
% 33.87/8.79 |
% 33.87/8.79 | Equations (464) can reduce 179 to:
% 33.87/8.79 | (1892) ~ (all_0_110_110 = e20)
% 33.87/8.79 |
% 33.87/8.79 | Simplifying 1892 yields:
% 33.87/8.79 | (1893) ~ (all_0_110_110 = e20)
% 33.87/8.79 |
% 33.87/8.79 +-Applying beta-rule and splitting (1386), into two cases.
% 33.87/8.79 |-Branch one:
% 33.87/8.79 | (1082) all_0_110_110 = e22
% 33.87/8.79 |
% 33.87/8.79 | Equations (1082) can reduce 131 to:
% 33.87/8.79 | (804) ~ (all_0_106_106 = e22)
% 33.87/8.79 |
% 33.87/8.79 | From (1082) and (309) follows:
% 33.87/8.79 | (1622) op2(all_0_97_97, e22) = all_0_74_74
% 33.87/8.79 |
% 33.87/8.79 | From (1082) and (52) follows:
% 33.87/8.79 | (1623) op2(all_0_98_98, e22) = all_0_85_85
% 33.87/8.79 |
% 33.87/8.79 | From (1082) and (359) follows:
% 33.87/8.79 | (1624) op2(e22, all_0_97_97) = all_0_68_68
% 33.87/8.79 |
% 33.87/8.79 | From (1082) and (69) follows:
% 33.87/8.79 | (1627) op2(e20, e22) = all_0_97_97
% 33.87/8.79 |
% 33.87/8.79 | From (1082) and (340) follows:
% 33.87/8.79 | (1628) op2(e20, e20) = e22
% 33.87/8.79 |
% 33.87/8.79 +-Applying beta-rule and splitting (440), into two cases.
% 33.87/8.79 |-Branch one:
% 33.87/8.79 | (683) all_0_106_106 = e22
% 33.87/8.79 |
% 33.87/8.79 | Equations (683) can reduce 804 to:
% 33.87/8.79 | (401) $false
% 33.87/8.79 |
% 33.87/8.79 |-The branch is then unsatisfiable
% 33.87/8.79 |-Branch two:
% 33.87/8.79 | (804) ~ (all_0_106_106 = e22)
% 33.87/8.79 | (529) all_0_106_106 = e20
% 33.87/8.79 |
% 33.87/8.79 | Equations (529) can reduce 358 to:
% 33.87/8.79 | (530) ~ (e21 = e20)
% 33.87/8.79 |
% 33.87/8.79 | Simplifying 530 yields:
% 33.87/8.79 | (280) ~ (e21 = e20)
% 33.87/8.80 |
% 33.87/8.80 | Instantiating formula (312) with e23, e20, all_0_93_93, e23 and discharging atoms op2(e23, e20) = all_0_93_93, op2(e23, e20) = e23, yields:
% 33.87/8.80 | (1545) all_0_93_93 = e23
% 33.87/8.80 |
% 33.87/8.80 | Instantiating formula (312) with e20, e23, e21, all_0_4_4 and discharging atoms op2(e20, e23) = all_0_4_4, op2(e20, e23) = e21, yields:
% 33.87/8.80 | (552) all_0_4_4 = e21
% 33.87/8.80 |
% 33.87/8.80 | Instantiating formula (312) with e20, e22, all_0_97_97, e23 and discharging atoms op2(e20, e22) = all_0_97_97, op2(e20, e22) = e23, yields:
% 33.87/8.80 | (1646) all_0_97_97 = e23
% 33.87/8.80 |
% 33.87/8.80 | Instantiating formula (312) with e20, e20, e22, all_0_0_0 and discharging atoms op2(e20, e20) = all_0_0_0, op2(e20, e20) = e22, yields:
% 33.87/8.80 | (2241) all_0_0_0 = e22
% 33.87/8.80 |
% 33.87/8.80 | From (1545)(1545) and (103) follows:
% 33.87/8.80 | (1548) op2(e23, e23) = all_0_10_10
% 33.87/8.80 |
% 33.87/8.80 | From (1545) and (81) follows:
% 33.87/8.80 | (1549) op2(e23, e23) = all_0_12_12
% 33.87/8.80 |
% 33.87/8.80 | From (1545) and (1504) follows:
% 33.87/8.80 | (1550) op2(e23, e20) = all_0_8_8
% 33.87/8.80 |
% 33.87/8.80 | From (1646)(1646) and (306) follows:
% 33.87/8.80 | (1959) op2(e23, e23) = all_0_76_76
% 33.87/8.80 |
% 33.87/8.80 | From (1646) and (1622) follows:
% 33.87/8.80 | (1655) op2(e23, e22) = all_0_74_74
% 33.87/8.80 |
% 33.87/8.80 | From (1646) and (295) follows:
% 33.87/8.80 | (1656) op2(e23, e20) = all_0_78_78
% 33.87/8.80 |
% 33.87/8.80 | From (1646) and (110) follows:
% 33.87/8.80 | (1657) op2(all_0_98_98, e23) = all_0_87_87
% 33.87/8.80 |
% 33.87/8.80 | From (1545) and (190) follows:
% 33.87/8.80 | (1551) op2(e23, e23) = all_0_94_94
% 33.87/8.80 |
% 33.87/8.80 | From (1545) and (458) follows:
% 33.87/8.80 | (947) op2(e23, e20) = e23
% 33.87/8.80 |
% 33.87/8.80 | From (1646) and (1624) follows:
% 33.87/8.80 | (1659) op2(e22, e23) = all_0_68_68
% 33.87/8.80 |
% 33.87/8.80 | From (1545) and (454) follows:
% 33.87/8.80 | (1553) op2(e20, e23) = all_0_2_2
% 33.87/8.80 |
% 33.87/8.80 | From (1646) and (240) follows:
% 33.87/8.80 | (1663) op2(e20, e23) = all_0_98_98
% 33.87/8.80 |
% 33.87/8.80 | From (552) and (457) follows:
% 33.87/8.80 | (493) op2(e20, e23) = e21
% 33.87/8.80 |
% 33.87/8.80 | From (1646) and (1627) follows:
% 33.87/8.80 | (1414) op2(e20, e22) = e23
% 33.87/8.80 |
% 33.87/8.80 | From (2241) and (456) follows:
% 33.87/8.80 | (1628) op2(e20, e20) = e22
% 33.87/8.80 |
% 33.87/8.80 | Instantiating formula (312) with e23, e23, all_0_12_12, all_0_10_10 and discharging atoms op2(e23, e23) = all_0_10_10, op2(e23, e23) = all_0_12_12, yields:
% 33.87/8.80 | (1557) all_0_10_10 = all_0_12_12
% 33.87/8.80 |
% 33.87/8.80 | Instantiating formula (312) with e23, e23, all_0_76_76, e20 and discharging atoms op2(e23, e23) = all_0_76_76, op2(e23, e23) = e20, yields:
% 33.87/8.80 | (2258) all_0_76_76 = e20
% 33.87/8.80 |
% 33.87/8.80 | Instantiating formula (312) with e23, e23, all_0_76_76, all_0_12_12 and discharging atoms op2(e23, e23) = all_0_12_12, op2(e23, e23) = all_0_76_76, yields:
% 33.87/8.80 | (2259) all_0_12_12 = all_0_76_76
% 33.87/8.80 |
% 33.87/8.80 | Instantiating formula (312) with e23, e23, all_0_94_94, all_0_10_10 and discharging atoms op2(e23, e23) = all_0_10_10, op2(e23, e23) = all_0_94_94, yields:
% 33.87/8.80 | (1558) all_0_10_10 = all_0_94_94
% 33.87/8.80 |
% 33.87/8.80 | Instantiating formula (312) with e23, e22, all_0_74_74, e21 and discharging atoms op2(e23, e22) = all_0_74_74, op2(e23, e22) = e21, yields:
% 33.87/8.80 | (2261) all_0_74_74 = e21
% 33.87/8.80 |
% 33.87/8.80 | Instantiating formula (312) with e23, e20, all_0_8_8, e23 and discharging atoms op2(e23, e20) = all_0_8_8, op2(e23, e20) = e23, yields:
% 33.87/8.80 | (1559) all_0_8_8 = e23
% 33.87/8.80 |
% 33.87/8.80 | Instantiating formula (312) with e23, e20, all_0_78_78, all_0_8_8 and discharging atoms op2(e23, e20) = all_0_8_8, op2(e23, e20) = all_0_78_78, yields:
% 33.87/8.80 | (2263) all_0_8_8 = all_0_78_78
% 33.87/8.80 |
% 33.87/8.80 | Instantiating formula (312) with e22, e23, all_0_68_68, e23 and discharging atoms op2(e22, e23) = all_0_68_68, op2(e22, e23) = e23, yields:
% 33.87/8.80 | (1667) all_0_68_68 = e23
% 33.87/8.80 |
% 33.87/8.80 | Instantiating formula (312) with e20, e23, all_0_2_2, e21 and discharging atoms op2(e20, e23) = all_0_2_2, op2(e20, e23) = e21, yields:
% 33.87/8.80 | (1560) all_0_2_2 = e21
% 33.87/8.80 |
% 33.87/8.80 | Instantiating formula (312) with e20, e23, all_0_98_98, all_0_2_2 and discharging atoms op2(e20, e23) = all_0_2_2, op2(e20, e23) = all_0_98_98, yields:
% 33.87/8.80 | (2266) all_0_2_2 = all_0_98_98
% 33.87/8.80 |
% 33.87/8.80 | Combining equations (1560,2266) yields a new equation:
% 33.87/8.80 | (1673) all_0_98_98 = e21
% 33.87/8.80 |
% 33.87/8.80 | Combining equations (1559,2263) yields a new equation:
% 33.87/8.80 | (763) all_0_78_78 = e23
% 33.87/8.80 |
% 33.87/8.80 | Combining equations (1557,1558) yields a new equation:
% 33.87/8.80 | (2269) all_0_12_12 = all_0_94_94
% 33.87/8.80 |
% 33.87/8.80 | Simplifying 2269 yields:
% 33.87/8.80 | (1561) all_0_12_12 = all_0_94_94
% 33.87/8.80 |
% 33.87/8.80 | Combining equations (2259,1561) yields a new equation:
% 33.87/8.80 | (2271) all_0_76_76 = all_0_94_94
% 33.87/8.80 |
% 33.87/8.80 | Simplifying 2271 yields:
% 33.87/8.80 | (2272) all_0_76_76 = all_0_94_94
% 33.87/8.80 |
% 33.87/8.80 | Combining equations (2258,2272) yields a new equation:
% 33.87/8.80 | (1563) all_0_94_94 = e20
% 33.87/8.80 |
% 33.87/8.80 | From (1563)(1563) and (323) follows:
% 33.87/8.80 | (1564) op2(e20, e20) = all_0_25_25
% 33.87/8.80 |
% 33.87/8.80 | From (1563) and (338) follows:
% 33.87/8.80 | (1565) op2(e20, e23) = all_0_23_23
% 33.87/8.80 |
% 33.87/8.80 | From (1563) and (1505) follows:
% 33.87/8.80 | (1566) op2(e20, e20) = all_0_19_19
% 33.87/8.80 |
% 33.87/8.80 | From (1673)(1673) and (263) follows:
% 33.87/8.80 | (1678) op2(e21, e21) = all_0_91_91
% 33.87/8.80 |
% 33.87/8.80 | From (1673) and (1657) follows:
% 33.87/8.80 | (1679) op2(e21, e23) = all_0_87_87
% 33.87/8.80 |
% 33.87/8.80 | From (1673) and (1623) follows:
% 33.87/8.80 | (1680) op2(e21, e22) = all_0_85_85
% 33.87/8.80 |
% 33.87/8.80 | From (1563) and (287) follows:
% 33.87/8.80 | (1567) op2(e23, e20) = all_0_18_18
% 33.87/8.80 |
% 33.87/8.80 | From (2261) and (1655) follows:
% 33.87/8.80 | (2201) op2(e23, e22) = e21
% 33.87/8.80 |
% 33.87/8.80 | From (763) and (1656) follows:
% 33.87/8.80 | (947) op2(e23, e20) = e23
% 33.87/8.80 |
% 33.87/8.80 | From (1667) and (1659) follows:
% 33.87/8.80 | (420) op2(e22, e23) = e23
% 33.87/8.80 |
% 33.87/8.80 | From (1563) and (455) follows:
% 33.87/8.80 | (1569) op2(e20, e20) = all_0_6_6
% 33.87/8.80 |
% 33.87/8.80 | From (1673) and (1663) follows:
% 33.87/8.80 | (493) op2(e20, e23) = e21
% 33.87/8.80 |
% 33.87/8.80 | Instantiating formula (312) with e23, e20, all_0_18_18, e23 and discharging atoms op2(e23, e20) = all_0_18_18, op2(e23, e20) = e23, yields:
% 33.87/8.80 | (1571) all_0_18_18 = e23
% 33.87/8.80 |
% 33.87/8.80 | Instantiating formula (312) with e21, e23, all_0_87_87, e22 and discharging atoms op2(e21, e23) = all_0_87_87, op2(e21, e23) = e22, yields:
% 33.87/8.80 | (1690) all_0_87_87 = e22
% 33.87/8.80 |
% 33.87/8.80 | Instantiating formula (312) with e21, e22, all_0_85_85, e20 and discharging atoms op2(e21, e22) = all_0_85_85, op2(e21, e22) = e20, yields:
% 33.87/8.80 | (1691) all_0_85_85 = e20
% 33.87/8.80 |
% 33.87/8.80 | Instantiating formula (312) with e21, e21, all_0_91_91, e23 and discharging atoms op2(e21, e21) = all_0_91_91, op2(e21, e21) = e23, yields:
% 33.87/8.80 | (596) all_0_91_91 = e23
% 33.87/8.80 |
% 33.87/8.81 | Instantiating formula (312) with e20, e23, all_0_23_23, e21 and discharging atoms op2(e20, e23) = all_0_23_23, op2(e20, e23) = e21, yields:
% 33.87/8.81 | (1195) all_0_23_23 = e21
% 33.87/8.81 |
% 33.87/8.81 | Instantiating formula (312) with e20, e20, all_0_19_19, e22 and discharging atoms op2(e20, e20) = all_0_19_19, op2(e20, e20) = e22, yields:
% 33.87/8.81 | (2291) all_0_19_19 = e22
% 33.87/8.81 |
% 33.87/8.81 | Instantiating formula (312) with e20, e20, all_0_19_19, all_0_6_6 and discharging atoms op2(e20, e20) = all_0_6_6, op2(e20, e20) = all_0_19_19, yields:
% 33.87/8.81 | (1574) all_0_6_6 = all_0_19_19
% 33.87/8.81 |
% 33.87/8.81 | Instantiating formula (312) with e20, e20, all_0_25_25, all_0_6_6 and discharging atoms op2(e20, e20) = all_0_6_6, op2(e20, e20) = all_0_25_25, yields:
% 33.87/8.81 | (2293) all_0_6_6 = all_0_25_25
% 33.87/8.81 |
% 33.87/8.81 | Combining equations (1574,2293) yields a new equation:
% 33.87/8.81 | (2294) all_0_19_19 = all_0_25_25
% 33.87/8.81 |
% 33.87/8.81 | Simplifying 2294 yields:
% 33.87/8.81 | (1575) all_0_19_19 = all_0_25_25
% 33.87/8.81 |
% 33.87/8.81 | Combining equations (2291,1575) yields a new equation:
% 33.87/8.81 | (2296) all_0_25_25 = e22
% 33.87/8.81 |
% 33.87/8.81 | From (1571) and (1567) follows:
% 33.87/8.81 | (947) op2(e23, e20) = e23
% 33.87/8.81 |
% 33.87/8.81 | From (1690) and (1679) follows:
% 33.87/8.81 | (89) op2(e21, e23) = e22
% 33.87/8.81 |
% 33.87/8.81 | From (1691) and (1680) follows:
% 33.87/8.81 | (151) op2(e21, e22) = e20
% 33.87/8.81 |
% 33.87/8.81 | From (596) and (1678) follows:
% 33.87/8.81 | (224) op2(e21, e21) = e23
% 33.87/8.81 |
% 33.87/8.81 | From (1195) and (1565) follows:
% 33.87/8.81 | (493) op2(e20, e23) = e21
% 33.87/8.81 |
% 33.87/8.81 | From (2296) and (1564) follows:
% 33.87/8.81 | (1628) op2(e20, e20) = e22
% 33.87/8.81 |
% 33.87/8.81 +-Applying beta-rule and splitting (277), into two cases.
% 33.87/8.81 |-Branch one:
% 33.87/8.81 | (637) unit2 = e23
% 33.87/8.81 |
% 33.87/8.81 | From (637) and (172) follows:
% 33.87/8.81 | (923) op2(e23, e20) = e20
% 33.87/8.81 |
% 33.87/8.81 | From (637) and (334) follows:
% 33.87/8.81 | (639) op2(e22, e23) = e22
% 33.87/8.81 |
% 33.87/8.81 | From (637) and (105) follows:
% 33.87/8.81 | (640) op2(e21, e23) = e21
% 33.87/8.81 |
% 33.87/8.81 | Instantiating formula (312) with e23, e20, e20, e23 and discharging atoms op2(e23, e20) = e23, op2(e23, e20) = e20, yields:
% 33.87/8.81 | (521) e23 = e20
% 33.87/8.81 |
% 33.87/8.81 | Instantiating formula (312) with e22, e23, e22, e23 and discharging atoms op2(e22, e23) = e23, op2(e22, e23) = e22, yields:
% 33.87/8.81 | (442) e23 = e22
% 33.87/8.81 |
% 33.87/8.81 | Instantiating formula (312) with e21, e23, e21, e22 and discharging atoms op2(e21, e23) = e22, op2(e21, e23) = e21, yields:
% 33.87/8.81 | (533) e22 = e21
% 33.87/8.81 |
% 33.87/8.81 | Combining equations (521,442) yields a new equation:
% 33.87/8.81 | (645) e22 = e20
% 33.87/8.81 |
% 33.87/8.81 | Combining equations (645,533) yields a new equation:
% 33.87/8.81 | (476) e21 = e20
% 33.87/8.81 |
% 33.87/8.81 | Equations (476) can reduce 280 to:
% 33.87/8.81 | (401) $false
% 33.87/8.81 |
% 33.87/8.81 |-The branch is then unsatisfiable
% 33.87/8.81 |-Branch two:
% 33.87/8.81 | (649) ~ (unit2 = e23)
% 33.87/8.81 | (650) unit2 = e22 | unit2 = e21 | unit2 = e20
% 33.87/8.81 |
% 33.87/8.81 +-Applying beta-rule and splitting (650), into two cases.
% 33.87/8.81 |-Branch one:
% 33.87/8.81 | (651) unit2 = e22
% 33.87/8.81 |
% 33.87/8.81 | From (651) and (38) follows:
% 33.87/8.81 | (412) op2(e23, e22) = e23
% 33.87/8.81 |
% 33.87/8.81 | From (651) and (202) follows:
% 33.87/8.81 | (653) op2(e20, e22) = e20
% 33.87/8.81 |
% 33.87/8.81 | Instantiating formula (312) with e23, e22, e23, e21 and discharging atoms op2(e23, e22) = e23, op2(e23, e22) = e21, yields:
% 33.87/8.81 | (482) e23 = e21
% 33.87/8.81 |
% 33.87/8.81 | Instantiating formula (312) with e20, e22, e20, e23 and discharging atoms op2(e20, e22) = e23, op2(e20, e22) = e20, yields:
% 33.87/8.81 | (521) e23 = e20
% 33.87/8.81 |
% 33.87/8.81 | Combining equations (521,482) yields a new equation:
% 33.87/8.81 | (476) e21 = e20
% 33.87/8.81 |
% 33.87/8.81 | Equations (476) can reduce 280 to:
% 33.87/8.81 | (401) $false
% 33.87/8.81 |
% 33.87/8.81 |-The branch is then unsatisfiable
% 33.87/8.81 |-Branch two:
% 33.87/8.81 | (658) ~ (unit2 = e22)
% 33.87/8.81 | (659) unit2 = e21 | unit2 = e20
% 33.87/8.81 |
% 33.87/8.81 +-Applying beta-rule and splitting (659), into two cases.
% 33.87/8.81 |-Branch one:
% 33.87/8.81 | (660) unit2 = e20
% 33.87/8.81 |
% 33.87/8.81 | From (660) and (299) follows:
% 33.87/8.81 | (661) op2(e20, e23) = e23
% 33.87/8.81 |
% 33.87/8.81 | From (660) and (23) follows:
% 33.87/8.81 | (474) op2(e20, e22) = e22
% 33.87/8.81 |
% 33.87/8.81 | From (660) and (202) follows:
% 33.87/8.81 | (662) op2(e20, e20) = e20
% 33.87/8.81 |
% 33.87/8.81 | Instantiating formula (312) with e20, e23, e23, e21 and discharging atoms op2(e20, e23) = e23, op2(e20, e23) = e21, yields:
% 33.87/8.81 | (482) e23 = e21
% 33.87/8.81 |
% 33.87/8.81 | Instantiating formula (312) with e20, e22, e22, e23 and discharging atoms op2(e20, e22) = e23, op2(e20, e22) = e22, yields:
% 33.87/8.81 | (442) e23 = e22
% 33.87/8.81 |
% 33.87/8.81 | Instantiating formula (312) with e20, e20, e20, e22 and discharging atoms op2(e20, e20) = e22, op2(e20, e20) = e20, yields:
% 33.87/8.81 | (645) e22 = e20
% 33.87/8.81 |
% 33.87/8.81 | Combining equations (482,442) yields a new equation:
% 33.87/8.81 | (533) e22 = e21
% 33.87/8.81 |
% 33.87/8.81 | Combining equations (533,645) yields a new equation:
% 33.87/8.81 | (646) e21 = e20
% 33.87/8.81 |
% 33.87/8.81 | Simplifying 646 yields:
% 33.87/8.81 | (476) e21 = e20
% 33.87/8.81 |
% 33.87/8.81 | Equations (476) can reduce 280 to:
% 33.87/8.81 | (401) $false
% 33.87/8.81 |
% 33.87/8.81 |-The branch is then unsatisfiable
% 33.87/8.81 |-Branch two:
% 33.87/8.81 | (668) ~ (unit2 = e20)
% 33.87/8.81 | (669) unit2 = e21
% 33.87/8.81 |
% 33.87/8.81 | Equations (669) can reduce 668 to:
% 33.87/8.81 | (280) ~ (e21 = e20)
% 33.87/8.81 |
% 33.87/8.81 | From (669) and (299) follows:
% 33.87/8.81 | (671) op2(e21, e23) = e23
% 33.87/8.81 |
% 33.87/8.81 | From (669) and (23) follows:
% 33.87/8.81 | (672) op2(e21, e22) = e22
% 33.87/8.81 |
% 33.87/8.81 | From (669) and (105) follows:
% 33.87/8.81 | (673) op2(e21, e21) = e21
% 33.87/8.81 |
% 33.87/8.81 | Instantiating formula (312) with e21, e23, e23, e22 and discharging atoms op2(e21, e23) = e23, op2(e21, e23) = e22, yields:
% 33.87/8.81 | (442) e23 = e22
% 33.87/8.81 |
% 33.87/8.81 | Instantiating formula (312) with e21, e22, e22, e20 and discharging atoms op2(e21, e22) = e22, op2(e21, e22) = e20, yields:
% 33.87/8.81 | (645) e22 = e20
% 33.87/8.81 |
% 33.87/8.81 | Instantiating formula (312) with e21, e21, e21, e23 and discharging atoms op2(e21, e21) = e23, op2(e21, e21) = e21, yields:
% 33.87/8.81 | (482) e23 = e21
% 33.87/8.81 |
% 33.87/8.81 | Combining equations (482,442) yields a new equation:
% 33.87/8.81 | (533) e22 = e21
% 33.87/8.81 |
% 33.87/8.81 | Combining equations (533,645) yields a new equation:
% 33.87/8.81 | (646) e21 = e20
% 33.87/8.81 |
% 33.87/8.81 | Simplifying 646 yields:
% 33.87/8.81 | (476) e21 = e20
% 33.87/8.81 |
% 33.87/8.81 | Equations (476) can reduce 280 to:
% 33.87/8.81 | (401) $false
% 33.87/8.81 |
% 33.87/8.81 |-The branch is then unsatisfiable
% 33.87/8.81 |-Branch two:
% 33.87/8.81 | (1765) ~ (all_0_110_110 = e22)
% 33.87/8.81 | (687) all_0_110_110 = e20
% 33.87/8.81 |
% 33.87/8.81 | Equations (687) can reduce 1893 to:
% 33.87/8.81 | (401) $false
% 33.87/8.81 |
% 33.87/8.81 |-The branch is then unsatisfiable
% 33.87/8.81 |-Branch two:
% 33.87/8.81 | (715) ~ (all_0_109_109 = e20)
% 33.87/8.81 | (695) all_0_109_109 = e21
% 33.87/8.81 |
% 33.87/8.81 | Equations (695) can reduce 1541 to:
% 33.87/8.81 | (401) $false
% 33.87/8.81 |
% 33.87/8.81 |-The branch is then unsatisfiable
% 33.87/8.81 |-Branch two:
% 33.87/8.81 | (497) ~ (all_0_100_100 = e21)
% 33.87/8.81 | (498) all_0_104_104 = e21 | all_0_108_108 = e21
% 33.87/8.81 |
% 33.87/8.81 +-Applying beta-rule and splitting (704), into two cases.
% 33.87/8.81 |-Branch one:
% 33.87/8.81 | (857) all_0_109_109 = e22
% 33.87/8.81 |
% 33.87/8.81 | Equations (857) can reduce 855 to:
% 33.87/8.81 | (401) $false
% 33.87/8.81 |
% 33.87/8.81 |-The branch is then unsatisfiable
% 33.87/8.81 |-Branch two:
% 33.87/8.81 | (855) ~ (all_0_109_109 = e22)
% 33.87/8.81 | (1082) all_0_110_110 = e22
% 33.87/8.81 |
% 33.87/8.81 | Equations (1082) can reduce 131 to:
% 33.87/8.81 | (804) ~ (all_0_106_106 = e22)
% 33.87/8.81 |
% 33.87/8.81 +-Applying beta-rule and splitting (440), into two cases.
% 33.87/8.81 |-Branch one:
% 33.87/8.81 | (683) all_0_106_106 = e22
% 33.87/8.81 |
% 33.87/8.81 | Equations (683) can reduce 804 to:
% 33.87/8.81 | (401) $false
% 33.87/8.81 |
% 33.87/8.81 |-The branch is then unsatisfiable
% 33.87/8.81 |-Branch two:
% 33.87/8.81 | (804) ~ (all_0_106_106 = e22)
% 33.87/8.81 | (529) all_0_106_106 = e20
% 33.87/8.81 |
% 33.87/8.81 | Equations (529) can reduce 241 to:
% 33.87/8.81 | (834) ~ (all_0_105_105 = e20)
% 33.87/8.81 |
% 33.87/8.81 +-Applying beta-rule and splitting (341), into two cases.
% 33.87/8.81 |-Branch one:
% 33.87/8.81 | (537) all_0_105_105 = e22
% 33.87/8.81 |
% 33.87/8.81 | Equations (537) can reduce 682 to:
% 33.87/8.81 | (401) $false
% 33.87/8.81 |
% 33.87/8.81 |-The branch is then unsatisfiable
% 33.87/8.81 |-Branch two:
% 33.87/8.81 | (682) ~ (all_0_105_105 = e22)
% 33.87/8.81 | (969) all_0_105_105 = e21 | all_0_105_105 = e20
% 33.87/8.81 |
% 33.87/8.81 +-Applying beta-rule and splitting (969), into two cases.
% 33.87/8.81 |-Branch one:
% 33.87/8.81 | (986) all_0_105_105 = e20
% 33.87/8.81 |
% 33.87/8.81 | Equations (986) can reduce 834 to:
% 33.87/8.81 | (401) $false
% 33.87/8.81 |
% 33.87/8.81 |-The branch is then unsatisfiable
% 33.87/8.81 |-Branch two:
% 33.87/8.81 | (834) ~ (all_0_105_105 = e20)
% 33.87/8.81 | (692) all_0_105_105 = e21
% 33.87/8.81 |
% 33.87/8.81 | Equations (692) can reduce 355 to:
% 33.87/8.81 | (486) ~ (e23 = e21)
% 33.87/8.81 |
% 33.87/8.81 | Simplifying 486 yields:
% 33.87/8.81 | (279) ~ (e23 = e21)
% 33.87/8.81 |
% 33.87/8.81 | Equations (692) can reduce 682 to:
% 33.87/8.81 | (488) ~ (e22 = e21)
% 33.87/8.81 |
% 33.87/8.81 | Simplifying 488 yields:
% 33.87/8.81 | (28) ~ (e22 = e21)
% 33.87/8.81 |
% 33.87/8.81 +-Applying beta-rule and splitting (498), into two cases.
% 33.87/8.81 |-Branch one:
% 33.87/8.81 | (499) all_0_104_104 = e21
% 33.87/8.81 |
% 33.87/8.81 | Combining equations (532,499) yields a new equation:
% 33.87/8.81 | (677) e22 = e21
% 33.87/8.81 |
% 33.87/8.81 | Simplifying 677 yields:
% 33.87/8.81 | (533) e22 = e21
% 33.87/8.81 |
% 33.87/8.81 | Equations (533) can reduce 28 to:
% 33.87/8.81 | (401) $false
% 33.87/8.81 |
% 33.87/8.81 |-The branch is then unsatisfiable
% 33.87/8.81 |-Branch two:
% 33.87/8.81 | (698) ~ (all_0_104_104 = e21)
% 33.87/8.81 | (699) all_0_108_108 = e21
% 33.87/8.81 |
% 33.87/8.81 | Combining equations (699,421) yields a new equation:
% 33.87/8.81 | (482) e23 = e21
% 33.87/8.81 |
% 33.87/8.81 | Equations (482) can reduce 279 to:
% 33.87/8.81 | (401) $false
% 33.87/8.81 |
% 33.87/8.81 |-The branch is then unsatisfiable
% 33.87/8.81 |-Branch two:
% 33.87/8.81 | (471) ~ (all_0_104_104 = e22)
% 33.87/8.81 | (470) all_0_108_108 = e22
% 33.87/8.81 |
% 33.87/8.81 | Combining equations (421,470) yields a new equation:
% 33.87/8.81 | (796) e23 = e22
% 33.87/8.81 |
% 33.87/8.82 | Simplifying 796 yields:
% 33.87/8.82 | (442) e23 = e22
% 33.87/8.82 |
% 33.87/8.82 | Equations (442) can reduce 108 to:
% 33.87/8.82 | (401) $false
% 33.87/8.82 |
% 33.87/8.82 |-The branch is then unsatisfiable
% 33.87/8.82 |-Branch two:
% 33.87/8.82 | (719) ~ (all_0_99_99 = e20)
% 33.87/8.82 | (813) all_0_101_101 = e20 | all_0_102_102 = e20
% 33.87/8.82 |
% 33.87/8.82 +-Applying beta-rule and splitting (266), into two cases.
% 33.87/8.82 |-Branch one:
% 33.87/8.82 | (447) all_0_99_99 = e20
% 33.87/8.82 |
% 33.87/8.82 | Equations (447) can reduce 719 to:
% 33.87/8.82 | (401) $false
% 33.87/8.82 |
% 33.87/8.82 |-The branch is then unsatisfiable
% 33.87/8.82 |-Branch two:
% 33.87/8.82 | (719) ~ (all_0_99_99 = e20)
% 33.87/8.82 | (720) all_0_103_103 = e20 | all_0_107_107 = e20
% 33.87/8.82 |
% 33.87/8.82 +-Applying beta-rule and splitting (720), into two cases.
% 33.87/8.82 |-Branch one:
% 33.87/8.82 | (519) all_0_103_103 = e20
% 33.87/8.82 |
% 33.87/8.82 | Combining equations (519,413) yields a new equation:
% 33.87/8.82 | (521) e23 = e20
% 33.87/8.82 |
% 33.87/8.82 | Equations (521) can reduce 44 to:
% 33.87/8.82 | (401) $false
% 33.87/8.82 |
% 33.87/8.82 |-The branch is then unsatisfiable
% 33.87/8.82 |-Branch two:
% 33.87/8.82 | (523) ~ (all_0_103_103 = e20)
% 33.87/8.82 | (460) all_0_107_107 = e20
% 33.87/8.82 |
% 33.87/8.82 | Equations (460) can reduce 418 to:
% 33.87/8.82 | (452) ~ (e23 = e20)
% 33.87/8.82 |
% 33.87/8.82 | Simplifying 452 yields:
% 33.87/8.82 | (44) ~ (e23 = e20)
% 33.87/8.82 |
% 33.87/8.82 | Equations (460) can reduce 195 to:
% 33.87/8.82 | (751) ~ (e22 = e20)
% 33.87/8.82 |
% 33.87/8.82 | Simplifying 751 yields:
% 33.87/8.82 | (304) ~ (e22 = e20)
% 33.87/8.82 |
% 33.87/8.82 +-Applying beta-rule and splitting (361), into two cases.
% 33.87/8.82 |-Branch one:
% 33.87/8.82 | (821) all_0_101_101 = e20
% 33.87/8.82 |
% 33.87/8.82 | Combining equations (540,821) yields a new equation:
% 33.87/8.82 | (644) e22 = e20
% 33.87/8.82 |
% 33.87/8.82 | Simplifying 644 yields:
% 33.87/8.82 | (645) e22 = e20
% 33.87/8.82 |
% 33.87/8.82 | Equations (645) can reduce 304 to:
% 33.87/8.82 | (401) $false
% 33.87/8.82 |
% 33.87/8.82 |-The branch is then unsatisfiable
% 33.87/8.82 |-Branch two:
% 33.87/8.82 | (1086) ~ (all_0_101_101 = e20)
% 33.87/8.82 | (1129) all_0_105_105 = e20 | all_0_109_109 = e20
% 33.87/8.82 |
% 33.87/8.82 | Equations (540) can reduce 1086 to:
% 33.87/8.82 | (304) ~ (e22 = e20)
% 33.87/8.82 |
% 33.87/8.82 +-Applying beta-rule and splitting (813), into two cases.
% 33.87/8.82 |-Branch one:
% 33.87/8.82 | (821) all_0_101_101 = e20
% 33.87/8.82 |
% 33.87/8.82 | Combining equations (540,821) yields a new equation:
% 33.87/8.82 | (644) e22 = e20
% 33.87/8.82 |
% 33.87/8.82 | Simplifying 644 yields:
% 33.87/8.82 | (645) e22 = e20
% 33.87/8.82 |
% 33.87/8.82 | Equations (645) can reduce 304 to:
% 33.87/8.82 | (401) $false
% 33.87/8.82 |
% 33.87/8.82 |-The branch is then unsatisfiable
% 33.87/8.82 |-Branch two:
% 33.87/8.82 | (1086) ~ (all_0_101_101 = e20)
% 33.87/8.82 | (515) all_0_102_102 = e20
% 33.87/8.82 |
% 33.87/8.82 | Combining equations (429,515) yields a new equation:
% 33.87/8.82 | (520) e23 = e20
% 33.87/8.82 |
% 33.87/8.82 | Simplifying 520 yields:
% 33.87/8.82 | (521) e23 = e20
% 33.87/8.82 |
% 33.87/8.82 | Equations (521) can reduce 44 to:
% 33.87/8.82 | (401) $false
% 33.87/8.82 |
% 33.87/8.82 |-The branch is then unsatisfiable
% 33.87/8.82 |-Branch two:
% 33.87/8.82 | (543) ~ (all_0_101_101 = e22)
% 33.87/8.82 | (544) all_0_102_102 = e22
% 33.87/8.82 |
% 33.87/8.82 | Combining equations (544,429) yields a new equation:
% 33.87/8.82 | (442) e23 = e22
% 33.87/8.82 |
% 33.87/8.82 | Equations (442) can reduce 108 to:
% 33.87/8.82 | (401) $false
% 33.87/8.82 |
% 33.87/8.82 |-The branch is then unsatisfiable
% 33.87/8.82 |-Branch two:
% 33.87/8.82 | (1358) ~ (all_0_103_103 = e23)
% 33.87/8.82 | (1359) all_0_104_104 = e23 | all_0_106_106 = e23
% 33.87/8.82 |
% 33.87/8.82 +-Applying beta-rule and splitting (15), into two cases.
% 33.87/8.82 |-Branch one:
% 33.87/8.82 | (400) all_0_99_99 = e23
% 33.87/8.82 |
% 33.87/8.82 | Equations (400) can reduce 399 to:
% 33.87/8.82 | (401) $false
% 33.87/8.82 |
% 33.87/8.82 |-The branch is then unsatisfiable
% 33.87/8.82 |-Branch two:
% 33.87/8.82 | (399) ~ (all_0_99_99 = e23)
% 33.87/8.82 | (2431) all_0_103_103 = e23 | all_0_107_107 = e23
% 33.87/8.82 |
% 33.87/8.82 +-Applying beta-rule and splitting (2431), into two cases.
% 33.87/8.82 |-Branch one:
% 33.87/8.82 | (413) all_0_103_103 = e23
% 33.87/8.82 |
% 33.87/8.82 | Equations (413) can reduce 1358 to:
% 33.87/8.82 | (401) $false
% 33.87/8.82 |
% 33.87/8.82 |-The branch is then unsatisfiable
% 33.87/8.82 |-Branch two:
% 33.87/8.82 | (1358) ~ (all_0_103_103 = e23)
% 33.87/8.82 | (425) all_0_107_107 = e23
% 33.87/8.82 |
% 33.87/8.82 | Equations (425) can reduce 221 to:
% 33.87/8.82 | (409) ~ (all_0_108_108 = e23)
% 33.87/8.82 |
% 33.87/8.82 | Simplifying 409 yields:
% 33.87/8.82 | (410) ~ (all_0_108_108 = e23)
% 33.87/8.82 |
% 33.87/8.82 | Equations (425) can reduce 317 to:
% 33.87/8.82 | (2438) ~ (all_0_109_109 = e23)
% 33.87/8.82 |
% 33.87/8.82 | Simplifying 2438 yields:
% 33.87/8.82 | (314) ~ (all_0_109_109 = e23)
% 33.87/8.82 |
% 33.87/8.82 | Equations (425) can reduce 353 to:
% 33.87/8.82 | (2440) ~ (all_0_110_110 = e23)
% 33.87/8.82 |
% 33.87/8.82 | Simplifying 2440 yields:
% 33.87/8.82 | (1383) ~ (all_0_110_110 = e23)
% 33.87/8.82 |
% 33.87/8.82 | Equations (425) can reduce 195 to:
% 33.87/8.82 | (108) ~ (e23 = e22)
% 33.87/8.82 |
% 33.87/8.82 +-Applying beta-rule and splitting (318), into two cases.
% 33.87/8.82 |-Branch one:
% 33.87/8.82 | (404) all_0_100_100 = e23
% 33.87/8.82 |
% 33.87/8.82 | Equations (404) can reduce 1365 to:
% 33.87/8.82 | (401) $false
% 33.87/8.82 |
% 33.87/8.82 |-The branch is then unsatisfiable
% 33.87/8.82 |-Branch two:
% 33.87/8.82 | (1365) ~ (all_0_100_100 = e23)
% 33.87/8.82 | (1405) all_0_104_104 = e23 | all_0_108_108 = e23
% 33.87/8.82 |
% 33.87/8.82 +-Applying beta-rule and splitting (1405), into two cases.
% 33.87/8.82 |-Branch one:
% 33.87/8.82 | (1360) all_0_104_104 = e23
% 33.87/8.82 |
% 33.87/8.82 | Equations (1360) can reduce 130 to:
% 33.87/8.82 | (415) ~ (all_0_106_106 = e23)
% 33.87/8.82 |
% 33.87/8.82 | Simplifying 415 yields:
% 33.87/8.82 | (377) ~ (all_0_106_106 = e23)
% 33.87/8.82 |
% 33.87/8.82 | Equations (1360) can reduce 214 to:
% 33.87/8.82 | (409) ~ (all_0_108_108 = e23)
% 33.87/8.82 |
% 33.87/8.82 | Simplifying 409 yields:
% 33.87/8.82 | (410) ~ (all_0_108_108 = e23)
% 33.87/8.82 |
% 33.87/8.82 | Equations (1360) can reduce 161 to:
% 33.87/8.82 | (44) ~ (e23 = e20)
% 33.87/8.82 |
% 33.87/8.82 | From (1360) and (212) follows:
% 33.87/8.82 | (2453) op2(all_0_95_95, e23) = all_0_35_35
% 33.87/8.82 |
% 33.87/8.82 | From (1360) and (349) follows:
% 33.87/8.82 | (2454) op2(all_0_96_96, e23) = all_0_46_46
% 33.87/8.82 |
% 33.87/8.82 | From (1360) and (42) follows:
% 33.87/8.82 | (2455) op2(e23, all_0_95_95) = all_0_29_29
% 33.87/8.82 |
% 33.87/8.82 | From (1360)(1360) and (35) follows:
% 33.87/8.82 | (2456) op2(e23, e23) = all_0_27_27
% 33.87/8.82 |
% 33.87/8.82 | From (1360) and (188) follows:
% 34.11/8.82 | (2457) op2(e22, e23) = all_0_95_95
% 34.11/8.82 |
% 34.11/8.82 | From (1360) and (16) follows:
% 34.11/8.82 | (2458) op2(e22, e22) = e23
% 34.11/8.82 |
% 34.11/8.82 | Instantiating formula (312) with e23, e23, all_0_27_27, all_0_99_99 and discharging atoms op2(e23, e23) = all_0_27_27, op2(e23, e23) = all_0_99_99, yields:
% 34.11/8.82 | (2459) all_0_27_27 = all_0_99_99
% 34.11/8.82 |
% 34.11/8.82 | Instantiating formula (312) with e22, e23, all_0_95_95, all_0_103_103 and discharging atoms op2(e22, e23) = all_0_95_95, op2(e22, e23) = all_0_103_103, yields:
% 34.11/8.82 | (2460) all_0_95_95 = all_0_103_103
% 34.11/8.82 |
% 34.11/8.82 | From (2460)(2460) and (213) follows:
% 34.11/8.82 | (2461) op2(all_0_103_103, all_0_103_103) = all_0_37_37
% 34.11/8.82 |
% 34.11/8.82 | From (2460) and (68) follows:
% 34.11/8.82 | (2462) op2(all_0_103_103, all_0_96_96) = all_0_41_41
% 34.11/8.82 |
% 34.11/8.82 | From (2460) and (2453) follows:
% 34.11/8.82 | (2463) op2(all_0_103_103, e23) = all_0_35_35
% 34.11/8.82 |
% 34.11/8.82 | From (2460) and (332) follows:
% 34.11/8.82 | (2464) op2(all_0_103_103, e22) = all_0_39_39
% 34.11/8.82 |
% 34.11/8.82 | From (2460) and (347) follows:
% 34.11/8.82 | (2465) op2(all_0_96_96, all_0_103_103) = all_0_48_48
% 34.11/8.82 |
% 34.11/8.82 | From (2460) and (2455) follows:
% 34.11/8.82 | (2466) op2(e23, all_0_103_103) = all_0_29_29
% 34.11/8.82 |
% 34.11/8.82 | From (2459) and (2456) follows:
% 34.11/8.82 | (209) op2(e23, e23) = all_0_99_99
% 34.11/8.82 |
% 34.11/8.82 | From (2460) and (121) follows:
% 34.11/8.82 | (2468) op2(e22, all_0_103_103) = all_0_96_96
% 34.11/8.82 |
% 34.11/8.82 | From (2460) and (2457) follows:
% 34.11/8.82 | (80) op2(e22, e23) = all_0_103_103
% 34.11/8.82 |
% 34.11/8.82 +-Applying beta-rule and splitting (82), into two cases.
% 34.11/8.82 |-Branch one:
% 34.11/8.82 | (421) all_0_108_108 = e23
% 34.11/8.82 |
% 34.11/8.82 | Equations (421) can reduce 410 to:
% 34.11/8.82 | (401) $false
% 34.11/8.82 |
% 34.11/8.82 |-The branch is then unsatisfiable
% 34.11/8.82 |-Branch two:
% 34.11/8.82 | (410) ~ (all_0_108_108 = e23)
% 34.11/8.82 | (424) all_0_108_108 = e22 | all_0_108_108 = e21
% 34.11/8.82 |
% 34.11/8.82 +-Applying beta-rule and splitting (326), into two cases.
% 34.11/8.82 |-Branch one:
% 34.11/8.82 | (437) all_0_106_106 = e23
% 34.11/8.82 |
% 34.11/8.82 | Equations (437) can reduce 377 to:
% 34.11/8.82 | (401) $false
% 34.11/8.82 |
% 34.11/8.82 |-The branch is then unsatisfiable
% 34.11/8.82 |-Branch two:
% 34.11/8.82 | (377) ~ (all_0_106_106 = e23)
% 34.11/8.82 | (440) all_0_106_106 = e22 | all_0_106_106 = e20
% 34.11/8.82 |
% 34.11/8.82 +-Applying beta-rule and splitting (354), into two cases.
% 34.11/8.82 |-Branch one:
% 34.11/8.82 | (515) all_0_102_102 = e20
% 34.11/8.82 |
% 34.11/8.82 | Combining equations (515,429) yields a new equation:
% 34.11/8.82 | (521) e23 = e20
% 34.11/8.82 |
% 34.11/8.82 | Equations (521) can reduce 44 to:
% 34.11/8.82 | (401) $false
% 34.11/8.82 |
% 34.11/8.82 |-The branch is then unsatisfiable
% 34.11/8.82 |-Branch two:
% 34.11/8.82 | (449) ~ (all_0_102_102 = e20)
% 34.11/8.83 | (518) all_0_106_106 = e20 | all_0_110_110 = e20
% 34.11/8.83 |
% 34.11/8.83 | Equations (429) can reduce 449 to:
% 34.11/8.83 | (44) ~ (e23 = e20)
% 34.11/8.83 |
% 34.11/8.83 +-Applying beta-rule and splitting (67), into two cases.
% 34.11/8.83 |-Branch one:
% 34.11/8.83 | (460) all_0_107_107 = e20
% 34.11/8.83 |
% 34.11/8.83 | Combining equations (425,460) yields a new equation:
% 34.11/8.83 | (520) e23 = e20
% 34.11/8.83 |
% 34.11/8.83 | Simplifying 520 yields:
% 34.11/8.83 | (521) e23 = e20
% 34.11/8.83 |
% 34.11/8.83 | Equations (521) can reduce 44 to:
% 34.11/8.83 | (401) $false
% 34.11/8.83 |
% 34.11/8.83 |-The branch is then unsatisfiable
% 34.11/8.83 |-Branch two:
% 34.11/8.83 | (451) ~ (all_0_107_107 = e20)
% 34.11/8.83 | (463) all_0_109_109 = e20 | all_0_110_110 = e20
% 34.11/8.83 |
% 34.11/8.83 | Equations (425) can reduce 451 to:
% 34.11/8.83 | (44) ~ (e23 = e20)
% 34.11/8.83 |
% 34.11/8.83 +-Applying beta-rule and splitting (124), into two cases.
% 34.11/8.83 |-Branch one:
% 34.11/8.83 | (441) all_0_100_100 = e22
% 34.11/8.83 |
% 34.11/8.83 | Equations (441) can reduce 83 to:
% 34.11/8.83 | (132) ~ (all_0_99_99 = e22)
% 34.11/8.83 |
% 34.11/8.83 | Equations (441) can reduce 75 to:
% 34.11/8.83 | (1458) ~ (all_0_101_101 = e22)
% 34.11/8.83 |
% 34.11/8.83 | Simplifying 1458 yields:
% 34.11/8.83 | (543) ~ (all_0_101_101 = e22)
% 34.11/8.83 |
% 34.11/8.83 | Equations (441) can reduce 176 to:
% 34.11/8.83 | (2495) ~ (all_0_108_108 = e22)
% 34.11/8.83 |
% 34.11/8.83 | Simplifying 2495 yields:
% 34.11/8.83 | (703) ~ (all_0_108_108 = e22)
% 34.11/8.83 |
% 34.11/8.83 | Equations (441) can reduce 62 to:
% 34.11/8.83 | (304) ~ (e22 = e20)
% 34.11/8.83 |
% 34.11/8.83 +-Applying beta-rule and splitting (424), into two cases.
% 34.11/8.83 |-Branch one:
% 34.11/8.83 | (470) all_0_108_108 = e22
% 34.11/8.83 |
% 34.11/8.83 | Equations (470) can reduce 703 to:
% 34.11/8.83 | (401) $false
% 34.11/8.83 |
% 34.11/8.83 |-The branch is then unsatisfiable
% 34.11/8.83 |-Branch two:
% 34.11/8.83 | (703) ~ (all_0_108_108 = e22)
% 34.11/8.83 | (699) all_0_108_108 = e21
% 34.11/8.83 |
% 34.11/8.83 | Equations (699) can reduce 346 to:
% 34.11/8.83 | (1526) ~ (all_0_110_110 = e21)
% 34.11/8.83 |
% 34.11/8.83 | Simplifying 1526 yields:
% 34.11/8.83 | (58) ~ (all_0_110_110 = e21)
% 34.11/8.83 |
% 34.11/8.83 | Equations (699) can reduce 410 to:
% 34.11/8.83 | (486) ~ (e23 = e21)
% 34.11/8.83 |
% 34.11/8.83 | Simplifying 486 yields:
% 34.11/8.83 | (279) ~ (e23 = e21)
% 34.11/8.83 |
% 34.11/8.83 | Equations (699) can reduce 703 to:
% 34.11/8.83 | (488) ~ (e22 = e21)
% 34.11/8.83 |
% 34.11/8.83 | Simplifying 488 yields:
% 34.11/8.83 | (28) ~ (e22 = e21)
% 34.11/8.83 |
% 34.11/8.83 | From (699) and (152) follows:
% 34.11/8.83 | (1000) op2(e20, e22) = e21
% 34.11/8.83 |
% 34.11/8.83 +-Applying beta-rule and splitting (13), into two cases.
% 34.11/8.83 |-Branch one:
% 34.11/8.83 | (857) all_0_109_109 = e22
% 34.11/8.83 |
% 34.11/8.83 | Equations (857) can reduce 146 to:
% 34.11/8.83 | (543) ~ (all_0_101_101 = e22)
% 34.11/8.83 |
% 34.11/8.83 | Equations (857) can reduce 245 to:
% 34.11/8.83 | (682) ~ (all_0_105_105 = e22)
% 34.11/8.83 |
% 34.11/8.83 | Equations (857) can reduce 179 to:
% 34.11/8.83 | (1764) ~ (all_0_110_110 = e22)
% 34.11/8.83 |
% 34.11/8.83 | Simplifying 1764 yields:
% 34.11/8.83 | (1765) ~ (all_0_110_110 = e22)
% 34.11/8.83 |
% 34.11/8.83 | Equations (857) can reduce 314 to:
% 34.11/8.83 | (805) ~ (e23 = e22)
% 34.11/8.83 |
% 34.11/8.83 | Simplifying 805 yields:
% 34.11/8.83 | (108) ~ (e23 = e22)
% 34.11/8.83 |
% 34.11/8.83 | From (857) and (175) follows:
% 34.11/8.83 | (1004) op2(e20, e21) = e22
% 34.11/8.83 |
% 34.11/8.83 +-Applying beta-rule and splitting (12), into two cases.
% 34.11/8.83 |-Branch one:
% 34.11/8.83 | (532) all_0_104_104 = e22
% 34.11/8.83 |
% 34.11/8.83 | Combining equations (1360,532) yields a new equation:
% 34.11/8.83 | (796) e23 = e22
% 34.11/8.83 |
% 34.11/8.83 | Simplifying 796 yields:
% 34.11/8.83 | (442) e23 = e22
% 34.11/8.83 |
% 34.11/8.83 | Equations (442) can reduce 108 to:
% 34.11/8.83 | (401) $false
% 34.11/8.83 |
% 34.11/8.83 |-The branch is then unsatisfiable
% 34.11/8.83 |-Branch two:
% 34.11/8.83 | (471) ~ (all_0_104_104 = e22)
% 34.11/8.83 | (536) all_0_105_105 = e22 | all_0_106_106 = e22
% 34.11/8.83 |
% 34.11/8.83 +-Applying beta-rule and splitting (1386), into two cases.
% 34.11/8.83 |-Branch one:
% 34.11/8.83 | (1082) all_0_110_110 = e22
% 34.11/8.83 |
% 34.11/8.83 | Equations (1082) can reduce 1765 to:
% 34.11/8.83 | (401) $false
% 34.11/8.83 |
% 34.11/8.83 |-The branch is then unsatisfiable
% 34.11/8.83 |-Branch two:
% 34.11/8.83 | (1765) ~ (all_0_110_110 = e22)
% 34.11/8.83 | (687) all_0_110_110 = e20
% 34.11/8.83 |
% 34.11/8.83 | Equations (687) can reduce 1383 to:
% 34.11/8.83 | (452) ~ (e23 = e20)
% 34.11/8.83 |
% 34.11/8.83 | Simplifying 452 yields:
% 34.11/8.83 | (44) ~ (e23 = e20)
% 34.11/8.83 |
% 34.11/8.83 | Equations (687) can reduce 58 to:
% 34.11/8.83 | (530) ~ (e21 = e20)
% 34.11/8.83 |
% 34.11/8.83 | Simplifying 530 yields:
% 34.11/8.83 | (280) ~ (e21 = e20)
% 34.11/8.83 |
% 34.11/8.83 +-Applying beta-rule and splitting (536), into two cases.
% 34.11/8.83 |-Branch one:
% 34.11/8.83 | (537) all_0_105_105 = e22
% 34.11/8.83 |
% 34.11/8.83 | Equations (537) can reduce 682 to:
% 34.11/8.83 | (401) $false
% 34.11/8.83 |
% 34.11/8.83 |-The branch is then unsatisfiable
% 34.11/8.83 |-Branch two:
% 34.11/8.83 | (682) ~ (all_0_105_105 = e22)
% 34.11/8.83 | (683) all_0_106_106 = e22
% 34.11/8.83 |
% 34.11/8.83 | Equations (683) can reduce 109 to:
% 34.11/8.83 | (106) ~ (all_0_103_103 = e22)
% 34.11/8.83 |
% 34.11/8.83 | Equations (683) can reduce 241 to:
% 34.11/8.83 | (682) ~ (all_0_105_105 = e22)
% 34.11/8.83 |
% 34.11/8.83 | Equations (683) can reduce 358 to:
% 34.11/8.83 | (28) ~ (e22 = e21)
% 34.11/8.83 |
% 34.11/8.83 | From (683) and (191) follows:
% 34.11/8.83 | (1098) op2(e22, e20) = e22
% 34.11/8.83 |
% 34.11/8.83 +-Applying beta-rule and splitting (361), into two cases.
% 34.11/8.83 |-Branch one:
% 34.11/8.83 | (821) all_0_101_101 = e20
% 34.11/8.83 |
% 34.11/8.83 | Equations (821) can reduce 184 to:
% 34.11/8.83 | (719) ~ (all_0_99_99 = e20)
% 34.11/8.83 |
% 34.11/8.83 | Equations (821) can reduce 3 to:
% 34.11/8.83 | (452) ~ (e23 = e20)
% 34.11/8.83 |
% 34.11/8.83 | Simplifying 452 yields:
% 34.11/8.83 | (44) ~ (e23 = e20)
% 34.11/8.83 |
% 34.11/8.83 | From (821) and (250) follows:
% 34.11/8.83 | (828) op2(e23, e21) = e20
% 34.11/8.83 |
% 34.11/8.83 +-Applying beta-rule and splitting (266), into two cases.
% 34.11/8.83 |-Branch one:
% 34.11/8.83 | (447) all_0_99_99 = e20
% 34.11/8.83 |
% 34.11/8.83 | Equations (447) can reduce 719 to:
% 34.11/8.83 | (401) $false
% 34.11/8.83 |
% 34.11/8.83 |-The branch is then unsatisfiable
% 34.11/8.83 |-Branch two:
% 34.11/8.83 | (719) ~ (all_0_99_99 = e20)
% 34.11/8.83 | (720) all_0_103_103 = e20 | all_0_107_107 = e20
% 34.11/8.83 |
% 34.11/8.83 +-Applying beta-rule and splitting (242), into two cases.
% 34.11/8.83 |-Branch one:
% 34.11/8.83 | (519) all_0_103_103 = e20
% 34.11/8.83 |
% 34.11/8.83 | Equations (519) can reduce 144 to:
% 34.11/8.83 | (2549) ~ (all_0_105_105 = e20)
% 34.11/8.83 |
% 34.11/8.83 | Simplifying 2549 yields:
% 34.11/8.83 | (834) ~ (all_0_105_105 = e20)
% 34.11/8.83 |
% 34.11/8.83 | From (519) and (2462) follows:
% 34.11/8.83 | (1185) op2(e20, all_0_96_96) = all_0_41_41
% 34.11/8.83 |
% 34.11/8.83 | From (519) and (2464) follows:
% 34.11/8.83 | (1186) op2(e20, e22) = all_0_39_39
% 34.11/8.83 |
% 34.11/8.83 | From (519) and (2466) follows:
% 34.11/8.83 | (2553) op2(e23, e20) = all_0_29_29
% 34.11/8.83 |
% 34.11/8.83 | From (519) and (2468) follows:
% 34.11/8.83 | (1189) op2(e22, e20) = all_0_96_96
% 34.11/8.83 |
% 34.11/8.83 | From (519) and (80) follows:
% 34.11/8.83 | (2555) op2(e22, e23) = e20
% 34.11/8.83 |
% 34.11/8.83 +-Applying beta-rule and splitting (341), into two cases.
% 34.11/8.83 |-Branch one:
% 34.11/8.83 | (537) all_0_105_105 = e22
% 34.11/8.83 |
% 34.11/8.83 | Equations (537) can reduce 682 to:
% 34.11/8.83 | (401) $false
% 34.11/8.83 |
% 34.11/8.83 |-The branch is then unsatisfiable
% 34.11/8.83 |-Branch two:
% 34.11/8.83 | (682) ~ (all_0_105_105 = e22)
% 34.11/8.83 | (969) all_0_105_105 = e21 | all_0_105_105 = e20
% 34.11/8.83 |
% 34.11/8.83 +-Applying beta-rule and splitting (247), into two cases.
% 34.11/8.83 |-Branch one:
% 34.11/8.83 | (475) all_0_99_99 = e21
% 34.11/8.83 |
% 34.11/8.83 | From (475) and (39) follows:
% 34.11/8.83 | (733) op2(all_0_93_93, e21) = all_0_8_8
% 34.11/8.83 |
% 34.11/8.83 | From (475) and (11) follows:
% 34.11/8.83 | (734) op2(all_0_94_94, e21) = all_0_19_19
% 34.11/8.83 |
% 34.11/8.83 | From (475) and (40) follows:
% 34.11/8.83 | (736) op2(e21, all_0_94_94) = all_0_6_6
% 34.11/8.83 |
% 34.11/8.83 | From (475)(475) and (292) follows:
% 34.11/8.83 | (737) op2(e21, e21) = all_0_0_0
% 34.11/8.83 |
% 34.11/8.83 | From (475) and (344) follows:
% 34.11/8.83 | (738) op2(e21, e23) = all_0_4_4
% 34.11/8.83 |
% 34.11/8.83 | From (475) and (79) follows:
% 34.11/8.83 | (739) op2(e23, e21) = all_0_93_93
% 34.11/8.83 |
% 34.11/8.83 +-Applying beta-rule and splitting (969), into two cases.
% 34.11/8.83 |-Branch one:
% 34.11/8.83 | (986) all_0_105_105 = e20
% 34.11/8.83 |
% 34.11/8.83 | Equations (986) can reduce 834 to:
% 34.11/8.83 | (401) $false
% 34.11/8.83 |
% 34.11/8.83 |-The branch is then unsatisfiable
% 34.11/8.83 |-Branch two:
% 34.11/8.83 | (834) ~ (all_0_105_105 = e20)
% 34.11/8.83 | (692) all_0_105_105 = e21
% 34.11/8.83 |
% 34.11/8.83 | Equations (692) can reduce 682 to:
% 34.11/8.83 | (488) ~ (e22 = e21)
% 34.11/8.83 |
% 34.11/8.83 | Simplifying 488 yields:
% 34.11/8.83 | (28) ~ (e22 = e21)
% 34.11/8.83 |
% 34.11/8.83 | Equations (692) can reduce 834 to:
% 34.11/8.83 | (280) ~ (e21 = e20)
% 34.11/8.83 |
% 34.11/8.83 | Instantiating formula (312) with e23, e21, e20, all_0_93_93 and discharging atoms op2(e23, e21) = all_0_93_93, op2(e23, e21) = e20, yields:
% 34.11/8.83 | (1940) all_0_93_93 = e20
% 34.11/8.83 |
% 34.11/8.83 | Instantiating formula (312) with e23, e20, all_0_29_29, e23 and discharging atoms op2(e23, e20) = all_0_29_29, op2(e23, e20) = e23, yields:
% 34.11/8.83 | (2575) all_0_29_29 = e23
% 34.11/8.83 |
% 34.11/8.83 | Instantiating formula (312) with e22, e20, all_0_96_96, e22 and discharging atoms op2(e22, e20) = all_0_96_96, op2(e22, e20) = e22, yields:
% 34.11/8.83 | (1199) all_0_96_96 = e22
% 34.11/8.83 |
% 34.11/8.83 | Instantiating formula (312) with e21, e23, all_0_4_4, e22 and discharging atoms op2(e21, e23) = all_0_4_4, op2(e21, e23) = e22, yields:
% 34.11/8.83 | (761) all_0_4_4 = e22
% 34.11/8.83 |
% 34.11/8.83 | Instantiating formula (312) with e21, e21, all_0_0_0, e23 and discharging atoms op2(e21, e21) = all_0_0_0, op2(e21, e21) = e23, yields:
% 34.11/8.83 | (554) all_0_0_0 = e23
% 34.11/8.83 |
% 34.11/8.83 | Instantiating formula (312) with e20, e22, all_0_39_39, e21 and discharging atoms op2(e20, e22) = all_0_39_39, op2(e20, e22) = e21, yields:
% 34.11/8.83 | (592) all_0_39_39 = e21
% 34.11/8.83 |
% 34.11/8.83 | From (1940) and (733) follows:
% 34.11/8.83 | (826) op2(e20, e21) = all_0_8_8
% 34.11/8.83 |
% 34.11/8.83 | From (1199) and (2454) follows:
% 34.11/8.83 | (2581) op2(e22, e23) = all_0_46_46
% 34.11/8.83 |
% 34.11/8.83 | From (1940) and (190) follows:
% 34.11/8.83 | (827) op2(e23, e20) = all_0_94_94
% 34.11/8.83 |
% 34.11/8.83 | From (1940) and (739) follows:
% 34.11/8.83 | (828) op2(e23, e21) = e20
% 34.11/8.83 |
% 34.11/8.83 | From (2575) and (2553) follows:
% 34.11/8.83 | (947) op2(e23, e20) = e23
% 34.11/8.83 |
% 34.11/8.83 | From (761) and (738) follows:
% 34.11/8.83 | (89) op2(e21, e23) = e22
% 34.11/8.84 |
% 34.11/8.84 | From (554) and (737) follows:
% 34.11/8.84 | (224) op2(e21, e21) = e23
% 34.11/8.84 |
% 34.11/8.84 | From (1199) and (1185) follows:
% 34.11/8.84 | (1213) op2(e20, e22) = all_0_41_41
% 34.11/8.84 |
% 34.11/8.84 | From (592) and (1186) follows:
% 34.11/8.84 | (1000) op2(e20, e22) = e21
% 34.11/8.84 |
% 34.11/8.84 | Instantiating formula (312) with e23, e20, all_0_94_94, e23 and discharging atoms op2(e23, e20) = all_0_94_94, op2(e23, e20) = e23, yields:
% 34.11/8.84 | (576) all_0_94_94 = e23
% 34.11/8.84 |
% 34.11/8.84 | Instantiating formula (312) with e22, e23, all_0_46_46, e20 and discharging atoms op2(e22, e23) = all_0_46_46, op2(e22, e23) = e20, yields:
% 34.11/8.84 | (2590) all_0_46_46 = e20
% 34.11/8.84 |
% 34.11/8.84 | Instantiating formula (312) with e20, e22, all_0_41_41, e21 and discharging atoms op2(e20, e22) = all_0_41_41, op2(e20, e22) = e21, yields:
% 34.11/8.84 | (2591) all_0_41_41 = e21
% 34.11/8.84 |
% 34.11/8.84 | Instantiating formula (312) with e20, e21, all_0_8_8, e22 and discharging atoms op2(e20, e21) = all_0_8_8, op2(e20, e21) = e22, yields:
% 34.11/8.84 | (2592) all_0_8_8 = e22
% 34.11/8.84 |
% 34.11/8.84 | From (576) and (734) follows:
% 34.11/8.84 | (1990) op2(e23, e21) = all_0_19_19
% 34.11/8.84 |
% 34.11/8.84 | From (2590) and (2581) follows:
% 34.11/8.84 | (2555) op2(e22, e23) = e20
% 34.11/8.84 |
% 34.11/8.84 | From (576) and (736) follows:
% 34.11/8.84 | (1192) op2(e21, e23) = all_0_6_6
% 34.11/8.84 |
% 34.11/8.84 | From (2591) and (1213) follows:
% 34.11/8.84 | (1000) op2(e20, e22) = e21
% 34.11/8.84 |
% 34.11/8.84 | From (2592) and (826) follows:
% 34.11/8.84 | (1004) op2(e20, e21) = e22
% 34.11/8.84 |
% 34.11/8.84 | Instantiating formula (312) with e23, e21, all_0_19_19, e20 and discharging atoms op2(e23, e21) = all_0_19_19, op2(e23, e21) = e20, yields:
% 34.11/8.84 | (2006) all_0_19_19 = e20
% 34.11/8.84 |
% 34.11/8.84 | Instantiating formula (312) with e21, e23, all_0_6_6, e22 and discharging atoms op2(e21, e23) = all_0_6_6, op2(e21, e23) = e22, yields:
% 34.11/8.84 | (1200) all_0_6_6 = e22
% 34.11/8.84 |
% 34.11/8.84 | From (2006) and (1990) follows:
% 34.11/8.84 | (828) op2(e23, e21) = e20
% 34.11/8.84 |
% 34.11/8.84 | From (1200) and (1192) follows:
% 34.11/8.84 | (89) op2(e21, e23) = e22
% 34.11/8.84 |
% 34.11/8.84 +-Applying beta-rule and splitting (277), into two cases.
% 34.11/8.84 |-Branch one:
% 34.11/8.84 | (637) unit2 = e23
% 34.11/8.84 |
% 34.11/8.84 | From (637) and (334) follows:
% 34.11/8.84 | (639) op2(e22, e23) = e22
% 34.11/8.84 |
% 34.11/8.84 | From (637) and (105) follows:
% 34.11/8.84 | (640) op2(e21, e23) = e21
% 34.11/8.84 |
% 34.11/8.84 | Instantiating formula (312) with e22, e23, e22, e20 and discharging atoms op2(e22, e23) = e22, op2(e22, e23) = e20, yields:
% 34.11/8.84 | (645) e22 = e20
% 34.11/8.84 |
% 34.11/8.84 | Instantiating formula (312) with e21, e23, e21, e22 and discharging atoms op2(e21, e23) = e22, op2(e21, e23) = e21, yields:
% 34.11/8.84 | (533) e22 = e21
% 34.11/8.84 |
% 34.11/8.84 | Combining equations (645,533) yields a new equation:
% 34.11/8.84 | (476) e21 = e20
% 34.11/8.84 |
% 34.11/8.84 | Equations (476) can reduce 280 to:
% 34.11/8.84 | (401) $false
% 34.11/8.84 |
% 34.11/8.84 |-The branch is then unsatisfiable
% 34.11/8.84 |-Branch two:
% 34.11/8.84 | (649) ~ (unit2 = e23)
% 34.11/8.84 | (650) unit2 = e22 | unit2 = e21 | unit2 = e20
% 34.11/8.84 |
% 34.11/8.84 +-Applying beta-rule and splitting (650), into two cases.
% 34.11/8.84 |-Branch one:
% 34.11/8.84 | (651) unit2 = e22
% 34.11/8.84 |
% 34.11/8.84 | From (651) and (202) follows:
% 34.11/8.84 | (653) op2(e20, e22) = e20
% 34.11/8.84 |
% 34.11/8.84 | Instantiating formula (312) with e20, e22, e20, e21 and discharging atoms op2(e20, e22) = e21, op2(e20, e22) = e20, yields:
% 34.11/8.84 | (476) e21 = e20
% 34.11/8.84 |
% 34.11/8.84 | Equations (476) can reduce 280 to:
% 34.11/8.84 | (401) $false
% 34.11/8.84 |
% 34.11/8.84 |-The branch is then unsatisfiable
% 34.11/8.84 |-Branch two:
% 34.11/8.84 | (658) ~ (unit2 = e22)
% 34.11/8.84 | (659) unit2 = e21 | unit2 = e20
% 34.11/8.84 |
% 34.11/8.84 +-Applying beta-rule and splitting (659), into two cases.
% 34.11/8.84 |-Branch one:
% 34.11/8.84 | (660) unit2 = e20
% 34.11/8.84 |
% 34.11/8.84 | From (660) and (171) follows:
% 34.11/8.84 | (1037) op2(e20, e21) = e21
% 34.11/8.84 |
% 34.11/8.84 | Instantiating formula (312) with e20, e21, e21, e22 and discharging atoms op2(e20, e21) = e22, op2(e20, e21) = e21, yields:
% 34.11/8.84 | (533) e22 = e21
% 34.11/8.84 |
% 34.11/8.84 | Equations (533) can reduce 28 to:
% 34.11/8.84 | (401) $false
% 34.11/8.84 |
% 34.11/8.84 |-The branch is then unsatisfiable
% 34.11/8.84 |-Branch two:
% 34.11/8.84 | (668) ~ (unit2 = e20)
% 34.11/8.84 | (669) unit2 = e21
% 34.11/8.84 |
% 34.11/8.84 | Equations (669) can reduce 668 to:
% 34.11/8.84 | (280) ~ (e21 = e20)
% 34.11/8.84 |
% 34.11/8.84 | From (669) and (299) follows:
% 34.11/8.84 | (671) op2(e21, e23) = e23
% 34.11/8.84 |
% 34.11/8.84 | From (669) and (38) follows:
% 34.11/8.84 | (956) op2(e23, e21) = e23
% 34.11/8.84 |
% 34.11/8.84 | From (669) and (105) follows:
% 34.11/8.84 | (673) op2(e21, e21) = e21
% 34.11/8.84 |
% 34.11/8.84 | Instantiating formula (312) with e23, e21, e23, e20 and discharging atoms op2(e23, e21) = e23, op2(e23, e21) = e20, yields:
% 34.11/8.84 | (521) e23 = e20
% 34.11/8.84 |
% 34.11/8.84 | Instantiating formula (312) with e21, e23, e23, e22 and discharging atoms op2(e21, e23) = e23, op2(e21, e23) = e22, yields:
% 34.11/8.84 | (442) e23 = e22
% 34.11/8.84 |
% 34.11/8.84 | Instantiating formula (312) with e21, e21, e21, e23 and discharging atoms op2(e21, e21) = e23, op2(e21, e21) = e21, yields:
% 34.11/8.84 | (482) e23 = e21
% 34.11/8.84 |
% 34.11/8.84 | Combining equations (521,442) yields a new equation:
% 34.11/8.84 | (645) e22 = e20
% 34.11/8.84 |
% 34.11/8.84 | Combining equations (482,442) yields a new equation:
% 34.11/8.84 | (533) e22 = e21
% 34.11/8.84 |
% 34.11/8.84 | Combining equations (533,645) yields a new equation:
% 34.11/8.84 | (646) e21 = e20
% 34.11/8.84 |
% 34.11/8.84 | Simplifying 646 yields:
% 34.11/8.84 | (476) e21 = e20
% 34.11/8.84 |
% 34.11/8.84 | Equations (476) can reduce 280 to:
% 34.11/8.84 | (401) $false
% 34.11/8.84 |
% 34.11/8.84 |-The branch is then unsatisfiable
% 34.11/8.84 |-Branch two:
% 34.11/8.84 | (478) ~ (all_0_99_99 = e21)
% 34.11/8.84 | (479) all_0_103_103 = e21 | all_0_107_107 = e21
% 34.11/8.84 |
% 34.11/8.84 +-Applying beta-rule and splitting (137), into two cases.
% 34.11/8.84 |-Branch one:
% 34.11/8.84 | (526) all_0_101_101 = e21
% 34.11/8.84 |
% 34.11/8.84 | Combining equations (821,526) yields a new equation:
% 34.11/8.84 | (476) e21 = e20
% 34.11/8.84 |
% 34.11/8.84 | Equations (476) can reduce 280 to:
% 34.11/8.84 | (401) $false
% 34.11/8.84 |
% 34.11/8.84 |-The branch is then unsatisfiable
% 34.11/8.84 |-Branch two:
% 34.11/8.84 | (690) ~ (all_0_101_101 = e21)
% 34.11/8.84 | (691) all_0_105_105 = e21 | all_0_109_109 = e21
% 34.11/8.84 |
% 34.11/8.84 | Equations (821) can reduce 690 to:
% 34.11/8.84 | (530) ~ (e21 = e20)
% 34.11/8.84 |
% 34.11/8.84 | Simplifying 530 yields:
% 34.11/8.84 | (280) ~ (e21 = e20)
% 34.11/8.84 |
% 34.11/8.84 +-Applying beta-rule and splitting (50), into two cases.
% 34.11/8.84 |-Branch one:
% 34.11/8.84 | (480) all_0_103_103 = e21
% 34.11/8.84 |
% 34.11/8.84 | Combining equations (519,480) yields a new equation:
% 34.11/8.84 | (476) e21 = e20
% 34.11/8.84 |
% 34.11/8.84 | Equations (476) can reduce 280 to:
% 34.11/8.84 | (401) $false
% 34.11/8.84 |
% 34.11/8.84 |-The branch is then unsatisfiable
% 34.11/8.84 |-Branch two:
% 34.11/8.84 | (484) ~ (all_0_103_103 = e21)
% 34.11/8.84 | (883) all_0_104_104 = e21 | all_0_105_105 = e21
% 34.11/8.84 |
% 34.11/8.84 | Equations (519) can reduce 484 to:
% 34.11/8.84 | (530) ~ (e21 = e20)
% 34.11/8.84 |
% 34.11/8.84 | Simplifying 530 yields:
% 34.11/8.84 | (280) ~ (e21 = e20)
% 34.11/8.84 |
% 34.11/8.84 +-Applying beta-rule and splitting (479), into two cases.
% 34.11/8.84 |-Branch one:
% 34.11/8.84 | (480) all_0_103_103 = e21
% 34.11/8.84 |
% 34.11/8.84 | Combining equations (519,480) yields a new equation:
% 34.11/8.84 | (476) e21 = e20
% 34.11/8.84 |
% 34.11/8.84 | Equations (476) can reduce 280 to:
% 34.11/8.84 | (401) $false
% 34.11/8.84 |
% 34.11/8.84 |-The branch is then unsatisfiable
% 34.11/8.84 |-Branch two:
% 34.11/8.84 | (484) ~ (all_0_103_103 = e21)
% 34.11/8.84 | (485) all_0_107_107 = e21
% 34.11/8.84 |
% 34.11/8.84 | Combining equations (425,485) yields a new equation:
% 34.11/8.84 | (481) e23 = e21
% 34.11/8.84 |
% 34.11/8.84 | Simplifying 481 yields:
% 34.11/8.84 | (482) e23 = e21
% 34.11/8.84 |
% 34.11/8.84 | Equations (482) can reduce 279 to:
% 34.11/8.84 | (401) $false
% 34.11/8.84 |
% 34.11/8.84 |-The branch is then unsatisfiable
% 34.11/8.84 |-Branch two:
% 34.11/8.84 | (523) ~ (all_0_103_103 = e20)
% 34.11/8.84 | (524) all_0_105_105 = e20 | all_0_106_106 = e20
% 34.11/8.84 |
% 34.11/8.84 +-Applying beta-rule and splitting (720), into two cases.
% 34.11/8.84 |-Branch one:
% 34.11/8.84 | (519) all_0_103_103 = e20
% 34.11/8.84 |
% 34.11/8.84 | Equations (519) can reduce 523 to:
% 34.11/8.84 | (401) $false
% 34.11/8.84 |
% 34.11/8.84 |-The branch is then unsatisfiable
% 34.11/8.84 |-Branch two:
% 34.11/8.84 | (523) ~ (all_0_103_103 = e20)
% 34.11/8.84 | (460) all_0_107_107 = e20
% 34.11/8.84 |
% 34.11/8.84 | Combining equations (460,425) yields a new equation:
% 34.11/8.84 | (521) e23 = e20
% 34.11/8.84 |
% 34.11/8.84 | Equations (521) can reduce 44 to:
% 34.11/8.84 | (401) $false
% 34.11/8.84 |
% 34.11/8.84 |-The branch is then unsatisfiable
% 34.11/8.84 |-Branch two:
% 34.11/8.84 | (1086) ~ (all_0_101_101 = e20)
% 34.11/8.84 | (1129) all_0_105_105 = e20 | all_0_109_109 = e20
% 34.11/8.84 |
% 34.11/8.84 +-Applying beta-rule and splitting (114), into two cases.
% 34.11/8.84 |-Branch one:
% 34.11/8.84 | (540) all_0_101_101 = e22
% 34.11/8.84 |
% 34.11/8.84 | Equations (540) can reduce 543 to:
% 34.11/8.84 | (401) $false
% 34.11/8.84 |
% 34.11/8.84 |-The branch is then unsatisfiable
% 34.11/8.84 |-Branch two:
% 34.11/8.84 | (543) ~ (all_0_101_101 = e22)
% 34.11/8.84 | (1284) all_0_101_101 = e21 | all_0_101_101 = e20
% 34.11/8.84 |
% 34.11/8.84 +-Applying beta-rule and splitting (311), into two cases.
% 34.11/8.84 |-Branch one:
% 34.11/8.84 | (447) all_0_99_99 = e20
% 34.11/8.84 |
% 34.11/8.84 | Equations (447) can reduce 156 to:
% 34.11/8.84 | (2674) ~ (all_0_103_103 = e20)
% 34.11/8.84 |
% 34.11/8.84 | Simplifying 2674 yields:
% 34.11/8.84 | (523) ~ (all_0_103_103 = e20)
% 34.11/8.84 |
% 34.11/8.84 | Equations (447) can reduce 132 to:
% 34.11/8.84 | (751) ~ (e22 = e20)
% 34.11/8.84 |
% 34.11/8.84 | Simplifying 751 yields:
% 34.11/8.84 | (304) ~ (e22 = e20)
% 34.11/8.84 |
% 34.11/8.84 +-Applying beta-rule and splitting (242), into two cases.
% 34.11/8.84 |-Branch one:
% 34.11/8.84 | (519) all_0_103_103 = e20
% 34.11/8.84 |
% 34.11/8.84 | Equations (519) can reduce 523 to:
% 34.11/8.84 | (401) $false
% 34.11/8.84 |
% 34.11/8.84 |-The branch is then unsatisfiable
% 34.11/8.84 |-Branch two:
% 34.11/8.84 | (523) ~ (all_0_103_103 = e20)
% 34.11/8.84 | (524) all_0_105_105 = e20 | all_0_106_106 = e20
% 34.11/8.84 |
% 34.11/8.84 +-Applying beta-rule and splitting (524), into two cases.
% 34.11/8.84 |-Branch one:
% 34.11/8.84 | (986) all_0_105_105 = e20
% 34.11/8.84 |
% 34.11/8.84 | Equations (986) can reduce 178 to:
% 34.11/8.84 | (1086) ~ (all_0_101_101 = e20)
% 34.11/8.84 |
% 34.11/8.84 | Equations (986) can reduce 144 to:
% 34.11/8.84 | (523) ~ (all_0_103_103 = e20)
% 34.11/8.84 |
% 34.11/8.84 | From (986) and (61) follows:
% 34.11/8.84 | (1135) op2(e22, e21) = e20
% 34.11/8.84 |
% 34.11/8.84 +-Applying beta-rule and splitting (247), into two cases.
% 34.11/8.84 |-Branch one:
% 34.11/8.84 | (475) all_0_99_99 = e21
% 34.11/8.84 |
% 34.11/8.84 | Combining equations (475,447) yields a new equation:
% 34.11/8.84 | (646) e21 = e20
% 34.11/8.84 |
% 34.11/8.84 | Simplifying 646 yields:
% 34.11/8.84 | (476) e21 = e20
% 34.11/8.84 |
% 34.11/8.84 | Equations (476) can reduce 280 to:
% 34.11/8.84 | (401) $false
% 34.11/8.84 |
% 34.11/8.84 |-The branch is then unsatisfiable
% 34.11/8.84 |-Branch two:
% 34.11/8.84 | (478) ~ (all_0_99_99 = e21)
% 34.11/8.85 | (479) all_0_103_103 = e21 | all_0_107_107 = e21
% 34.11/8.85 |
% 34.11/8.85 +-Applying beta-rule and splitting (137), into two cases.
% 34.11/8.85 |-Branch one:
% 34.11/8.85 | (526) all_0_101_101 = e21
% 34.11/8.85 |
% 34.11/8.85 | Equations (526) can reduce 3 to:
% 34.11/8.85 | (486) ~ (e23 = e21)
% 34.11/8.85 |
% 34.11/8.85 | Simplifying 486 yields:
% 34.11/8.85 | (279) ~ (e23 = e21)
% 34.11/8.85 |
% 34.11/8.85 +-Applying beta-rule and splitting (50), into two cases.
% 34.11/8.85 |-Branch one:
% 34.11/8.85 | (480) all_0_103_103 = e21
% 34.11/8.85 |
% 34.11/8.85 | Equations (480) can reduce 106 to:
% 34.11/8.85 | (488) ~ (e22 = e21)
% 34.11/8.85 |
% 34.11/8.85 | Simplifying 488 yields:
% 34.11/8.85 | (28) ~ (e22 = e21)
% 34.11/8.85 |
% 34.11/8.85 | Equations (480) can reduce 523 to:
% 34.11/8.85 | (280) ~ (e21 = e20)
% 34.11/8.85 |
% 34.11/8.85 | From (480) and (2465) follows:
% 34.11/8.85 | (2699) op2(all_0_96_96, e21) = all_0_48_48
% 34.11/8.85 |
% 34.11/8.85 | From (480)(480) and (2461) follows:
% 34.11/8.85 | (2700) op2(e21, e21) = all_0_37_37
% 34.11/8.85 |
% 34.11/8.85 | From (480) and (2463) follows:
% 34.11/8.85 | (2701) op2(e21, e23) = all_0_35_35
% 34.11/8.85 |
% 34.11/8.85 | From (480) and (2468) follows:
% 34.11/8.85 | (2702) op2(e22, e21) = all_0_96_96
% 34.11/8.85 |
% 34.11/8.85 | From (480) and (80) follows:
% 34.11/8.85 | (2703) op2(e22, e23) = e21
% 34.11/8.85 |
% 34.11/8.85 | Instantiating formula (312) with e22, e21, e20, all_0_96_96 and discharging atoms op2(e22, e21) = all_0_96_96, op2(e22, e21) = e20, yields:
% 34.11/8.85 | (2704) all_0_96_96 = e20
% 34.11/8.85 |
% 34.11/8.85 | Instantiating formula (312) with e21, e23, all_0_35_35, e22 and discharging atoms op2(e21, e23) = all_0_35_35, op2(e21, e23) = e22, yields:
% 34.11/8.85 | (582) all_0_35_35 = e22
% 34.11/8.85 |
% 34.11/8.85 | Instantiating formula (312) with e21, e21, all_0_37_37, e23 and discharging atoms op2(e21, e21) = all_0_37_37, op2(e21, e21) = e23, yields:
% 34.11/8.85 | (1202) all_0_37_37 = e23
% 34.11/8.85 |
% 34.11/8.85 | From (2704) and (2699) follows:
% 34.11/8.85 | (2707) op2(e20, e21) = all_0_48_48
% 34.11/8.85 |
% 34.11/8.85 | From (2704) and (113) follows:
% 34.11/8.85 | (2708) op2(e22, e20) = all_0_45_45
% 34.11/8.85 |
% 34.11/8.85 | From (582) and (2701) follows:
% 34.11/8.85 | (89) op2(e21, e23) = e22
% 34.11/8.85 |
% 34.11/8.85 | From (1202) and (2700) follows:
% 34.11/8.85 | (224) op2(e21, e21) = e23
% 34.11/8.85 |
% 34.11/8.85 | Instantiating formula (312) with e22, e20, all_0_45_45, e22 and discharging atoms op2(e22, e20) = all_0_45_45, op2(e22, e20) = e22, yields:
% 34.11/8.85 | (617) all_0_45_45 = e22
% 34.11/8.85 |
% 34.11/8.85 | Instantiating formula (312) with e20, e21, all_0_48_48, e22 and discharging atoms op2(e20, e21) = all_0_48_48, op2(e20, e21) = e22, yields:
% 34.11/8.85 | (2712) all_0_48_48 = e22
% 34.11/8.85 |
% 34.11/8.85 | From (617) and (2708) follows:
% 34.11/8.85 | (1098) op2(e22, e20) = e22
% 34.11/8.85 |
% 34.11/8.85 | From (2712) and (2707) follows:
% 34.11/8.85 | (1004) op2(e20, e21) = e22
% 34.11/8.85 |
% 34.11/8.85 +-Applying beta-rule and splitting (277), into two cases.
% 34.11/8.85 |-Branch one:
% 34.11/8.85 | (637) unit2 = e23
% 34.11/8.85 |
% 34.11/8.85 | From (637) and (105) follows:
% 34.11/8.85 | (640) op2(e21, e23) = e21
% 34.11/8.85 |
% 34.11/8.85 | Instantiating formula (312) with e21, e23, e21, e22 and discharging atoms op2(e21, e23) = e22, op2(e21, e23) = e21, yields:
% 34.11/8.85 | (533) e22 = e21
% 34.11/8.85 |
% 34.11/8.85 | Equations (533) can reduce 28 to:
% 34.11/8.85 | (401) $false
% 34.11/8.85 |
% 34.11/8.85 |-The branch is then unsatisfiable
% 34.11/8.85 |-Branch two:
% 34.11/8.85 | (649) ~ (unit2 = e23)
% 34.11/8.85 | (650) unit2 = e22 | unit2 = e21 | unit2 = e20
% 34.11/8.85 |
% 34.11/8.85 +-Applying beta-rule and splitting (650), into two cases.
% 34.11/8.85 |-Branch one:
% 34.11/8.85 | (651) unit2 = e22
% 34.11/8.85 |
% 34.11/8.85 | From (651) and (299) follows:
% 34.11/8.85 | (420) op2(e22, e23) = e23
% 34.11/8.85 |
% 34.11/8.85 | From (651) and (172) follows:
% 34.11/8.85 | (2723) op2(e22, e20) = e20
% 34.11/8.85 |
% 34.11/8.85 | From (651) and (334) follows:
% 34.11/8.85 | (1239) op2(e22, e22) = e22
% 34.11/8.85 |
% 34.11/8.85 | Instantiating formula (312) with e22, e23, e23, e21 and discharging atoms op2(e22, e23) = e23, op2(e22, e23) = e21, yields:
% 34.11/8.85 | (482) e23 = e21
% 34.11/8.85 |
% 34.11/8.85 | Instantiating formula (312) with e22, e22, e22, e23 and discharging atoms op2(e22, e22) = e23, op2(e22, e22) = e22, yields:
% 34.11/8.85 | (442) e23 = e22
% 34.11/8.85 |
% 34.11/8.85 | Instantiating formula (312) with e22, e20, e20, e22 and discharging atoms op2(e22, e20) = e22, op2(e22, e20) = e20, yields:
% 34.11/8.85 | (645) e22 = e20
% 34.23/8.85 |
% 34.23/8.85 | Combining equations (482,442) yields a new equation:
% 34.23/8.85 | (533) e22 = e21
% 34.23/8.85 |
% 34.23/8.85 | Combining equations (533,645) yields a new equation:
% 34.23/8.85 | (646) e21 = e20
% 34.23/8.85 |
% 34.23/8.85 | Simplifying 646 yields:
% 34.23/8.85 | (476) e21 = e20
% 34.23/8.85 |
% 34.23/8.85 | Equations (476) can reduce 280 to:
% 34.23/8.85 | (401) $false
% 34.23/8.85 |
% 34.23/8.85 |-The branch is then unsatisfiable
% 34.23/8.85 |-Branch two:
% 34.23/8.85 | (658) ~ (unit2 = e22)
% 34.23/8.85 | (659) unit2 = e21 | unit2 = e20
% 34.23/8.85 |
% 34.23/8.85 +-Applying beta-rule and splitting (659), into two cases.
% 34.23/8.85 |-Branch one:
% 34.23/8.85 | (660) unit2 = e20
% 34.23/8.85 |
% 34.23/8.85 | From (660) and (171) follows:
% 34.23/8.85 | (1037) op2(e20, e21) = e21
% 34.23/8.85 |
% 34.23/8.85 | Instantiating formula (312) with e20, e21, e21, e22 and discharging atoms op2(e20, e21) = e22, op2(e20, e21) = e21, yields:
% 34.23/8.85 | (533) e22 = e21
% 34.23/8.85 |
% 34.23/8.85 | Equations (533) can reduce 28 to:
% 34.23/8.85 | (401) $false
% 34.23/8.85 |
% 34.23/8.85 |-The branch is then unsatisfiable
% 34.23/8.85 |-Branch two:
% 34.23/8.85 | (668) ~ (unit2 = e20)
% 34.23/8.85 | (669) unit2 = e21
% 34.23/8.85 |
% 34.23/8.85 | Equations (669) can reduce 668 to:
% 34.23/8.85 | (280) ~ (e21 = e20)
% 34.23/8.85 |
% 34.23/8.85 | From (669) and (299) follows:
% 34.23/8.85 | (671) op2(e21, e23) = e23
% 34.23/8.85 |
% 34.23/8.85 | From (669) and (105) follows:
% 34.23/8.85 | (673) op2(e21, e21) = e21
% 34.23/8.85 |
% 34.23/8.85 | From (669) and (202) follows:
% 34.23/8.85 | (469) op2(e20, e21) = e20
% 34.23/8.85 |
% 34.23/8.85 | Instantiating formula (312) with e21, e23, e23, e22 and discharging atoms op2(e21, e23) = e23, op2(e21, e23) = e22, yields:
% 34.23/8.85 | (442) e23 = e22
% 34.23/8.85 |
% 34.23/8.85 | Instantiating formula (312) with e21, e21, e21, e23 and discharging atoms op2(e21, e21) = e23, op2(e21, e21) = e21, yields:
% 34.23/8.85 | (482) e23 = e21
% 34.23/8.85 |
% 34.23/8.85 | Instantiating formula (312) with e20, e21, e20, e22 and discharging atoms op2(e20, e21) = e22, op2(e20, e21) = e20, yields:
% 34.23/8.85 | (645) e22 = e20
% 34.23/8.85 |
% 34.23/8.85 | Combining equations (482,442) yields a new equation:
% 34.23/8.85 | (533) e22 = e21
% 34.23/8.85 |
% 34.23/8.85 | Combining equations (533,645) yields a new equation:
% 34.23/8.85 | (646) e21 = e20
% 34.23/8.85 |
% 34.23/8.85 | Simplifying 646 yields:
% 34.23/8.85 | (476) e21 = e20
% 34.23/8.85 |
% 34.23/8.85 | Equations (476) can reduce 280 to:
% 34.23/8.85 | (401) $false
% 34.23/8.85 |
% 34.23/8.85 |-The branch is then unsatisfiable
% 34.23/8.85 |-Branch two:
% 34.23/8.85 | (484) ~ (all_0_103_103 = e21)
% 34.23/8.85 | (883) all_0_104_104 = e21 | all_0_105_105 = e21
% 34.23/8.85 |
% 34.23/8.85 +-Applying beta-rule and splitting (479), into two cases.
% 34.23/8.85 |-Branch one:
% 34.23/8.85 | (480) all_0_103_103 = e21
% 34.23/8.85 |
% 34.23/8.85 | Equations (480) can reduce 484 to:
% 34.23/8.85 | (401) $false
% 34.23/8.85 |
% 34.23/8.85 |-The branch is then unsatisfiable
% 34.23/8.85 |-Branch two:
% 34.23/8.85 | (484) ~ (all_0_103_103 = e21)
% 34.23/8.85 | (485) all_0_107_107 = e21
% 34.23/8.85 |
% 34.23/8.85 | Combining equations (485,425) yields a new equation:
% 34.23/8.85 | (482) e23 = e21
% 34.23/8.85 |
% 34.23/8.85 | Equations (482) can reduce 279 to:
% 34.23/8.85 | (401) $false
% 34.23/8.85 |
% 34.23/8.85 |-The branch is then unsatisfiable
% 34.23/8.85 |-Branch two:
% 34.23/8.85 | (690) ~ (all_0_101_101 = e21)
% 34.23/8.85 | (691) all_0_105_105 = e21 | all_0_109_109 = e21
% 34.23/8.85 |
% 34.23/8.85 +-Applying beta-rule and splitting (1284), into two cases.
% 34.23/8.85 |-Branch one:
% 34.23/8.85 | (821) all_0_101_101 = e20
% 34.23/8.85 |
% 34.23/8.85 | Equations (821) can reduce 1086 to:
% 34.23/8.85 | (401) $false
% 34.23/8.85 |
% 34.23/8.85 |-The branch is then unsatisfiable
% 34.23/8.85 |-Branch two:
% 34.23/8.85 | (1086) ~ (all_0_101_101 = e20)
% 34.23/8.85 | (526) all_0_101_101 = e21
% 34.23/8.85 |
% 34.23/8.85 | Equations (526) can reduce 690 to:
% 34.23/8.85 | (401) $false
% 34.23/8.85 |
% 34.23/8.85 |-The branch is then unsatisfiable
% 34.23/8.85 |-Branch two:
% 34.23/8.85 | (834) ~ (all_0_105_105 = e20)
% 34.23/8.85 | (529) all_0_106_106 = e20
% 34.23/8.85 |
% 34.23/8.85 | Combining equations (683,529) yields a new equation:
% 34.23/8.85 | (644) e22 = e20
% 34.23/8.85 |
% 34.23/8.85 | Simplifying 644 yields:
% 34.23/8.85 | (645) e22 = e20
% 34.23/8.85 |
% 34.23/8.85 | Equations (645) can reduce 304 to:
% 34.23/8.85 | (401) $false
% 34.23/8.85 |
% 34.23/8.85 |-The branch is then unsatisfiable
% 34.23/8.85 |-Branch two:
% 34.23/8.85 | (719) ~ (all_0_99_99 = e20)
% 34.23/8.85 | (813) all_0_101_101 = e20 | all_0_102_102 = e20
% 34.23/8.85 |
% 34.23/8.85 +-Applying beta-rule and splitting (266), into two cases.
% 34.23/8.85 |-Branch one:
% 34.23/8.85 | (447) all_0_99_99 = e20
% 34.23/8.85 |
% 34.23/8.85 | Equations (447) can reduce 719 to:
% 34.23/8.85 | (401) $false
% 34.23/8.85 |
% 34.23/8.85 |-The branch is then unsatisfiable
% 34.23/8.85 |-Branch two:
% 34.23/8.85 | (719) ~ (all_0_99_99 = e20)
% 34.23/8.85 | (720) all_0_103_103 = e20 | all_0_107_107 = e20
% 34.23/8.85 |
% 34.23/8.85 +-Applying beta-rule and splitting (720), into two cases.
% 34.23/8.85 |-Branch one:
% 34.23/8.85 | (519) all_0_103_103 = e20
% 34.23/8.85 |
% 34.23/8.85 +-Applying beta-rule and splitting (247), into two cases.
% 34.23/8.85 |-Branch one:
% 34.23/8.85 | (475) all_0_99_99 = e21
% 34.23/8.85 |
% 34.23/8.85 | Equations (475) can reduce 184 to:
% 34.23/8.85 | (725) ~ (all_0_101_101 = e21)
% 34.23/8.85 |
% 34.23/8.85 | Simplifying 725 yields:
% 34.23/8.86 | (690) ~ (all_0_101_101 = e21)
% 34.23/8.86 |
% 34.23/8.86 | Equations (475) can reduce 132 to:
% 34.23/8.86 | (488) ~ (e22 = e21)
% 34.23/8.86 |
% 34.23/8.86 | Simplifying 488 yields:
% 34.23/8.86 | (28) ~ (e22 = e21)
% 34.23/8.86 |
% 34.23/8.86 +-Applying beta-rule and splitting (137), into two cases.
% 34.23/8.86 |-Branch one:
% 34.23/8.86 | (526) all_0_101_101 = e21
% 34.23/8.86 |
% 34.23/8.86 | Equations (526) can reduce 690 to:
% 34.23/8.86 | (401) $false
% 34.23/8.86 |
% 34.23/8.86 |-The branch is then unsatisfiable
% 34.23/8.86 |-Branch two:
% 34.23/8.86 | (690) ~ (all_0_101_101 = e21)
% 34.23/8.86 | (691) all_0_105_105 = e21 | all_0_109_109 = e21
% 34.23/8.86 |
% 34.23/8.86 +-Applying beta-rule and splitting (691), into two cases.
% 34.23/8.86 |-Branch one:
% 34.23/8.86 | (692) all_0_105_105 = e21
% 34.23/8.86 |
% 34.23/8.86 | Equations (692) can reduce 178 to:
% 34.23/8.86 | (690) ~ (all_0_101_101 = e21)
% 34.23/8.86 |
% 34.23/8.86 +-Applying beta-rule and splitting (1284), into two cases.
% 34.23/8.86 |-Branch one:
% 34.23/8.86 | (821) all_0_101_101 = e20
% 34.23/8.86 |
% 34.23/8.86 | Equations (821) can reduce 1086 to:
% 34.23/8.86 | (401) $false
% 34.23/8.86 |
% 34.23/8.86 |-The branch is then unsatisfiable
% 34.23/8.86 |-Branch two:
% 34.23/8.86 | (1086) ~ (all_0_101_101 = e20)
% 34.23/8.86 | (526) all_0_101_101 = e21
% 34.23/8.86 |
% 34.23/8.86 | Equations (526) can reduce 690 to:
% 34.23/8.86 | (401) $false
% 34.23/8.86 |
% 34.23/8.86 |-The branch is then unsatisfiable
% 34.23/8.86 |-Branch two:
% 34.23/8.86 | (501) ~ (all_0_105_105 = e21)
% 34.23/8.86 | (695) all_0_109_109 = e21
% 34.23/8.86 |
% 34.23/8.86 | Combining equations (857,695) yields a new equation:
% 34.23/8.86 | (677) e22 = e21
% 34.23/8.86 |
% 34.23/8.86 | Simplifying 677 yields:
% 34.23/8.86 | (533) e22 = e21
% 34.23/8.86 |
% 34.23/8.86 | Equations (533) can reduce 28 to:
% 34.23/8.86 | (401) $false
% 34.23/8.86 |
% 34.23/8.86 |-The branch is then unsatisfiable
% 34.23/8.86 |-Branch two:
% 34.23/8.86 | (478) ~ (all_0_99_99 = e21)
% 34.23/8.86 | (479) all_0_103_103 = e21 | all_0_107_107 = e21
% 34.23/8.86 |
% 34.23/8.86 +-Applying beta-rule and splitting (98), into two cases.
% 34.23/8.86 |-Branch one:
% 34.23/8.86 | (475) all_0_99_99 = e21
% 34.23/8.86 |
% 34.23/8.86 | Equations (475) can reduce 478 to:
% 34.23/8.86 | (401) $false
% 34.23/8.86 |
% 34.23/8.86 |-The branch is then unsatisfiable
% 34.23/8.86 |-Branch two:
% 34.23/8.86 | (478) ~ (all_0_99_99 = e21)
% 34.23/8.86 | (1536) all_0_100_100 = e21 | all_0_101_101 = e21
% 34.23/8.86 |
% 34.23/8.86 +-Applying beta-rule and splitting (1536), into two cases.
% 34.23/8.86 |-Branch one:
% 34.23/8.86 | (494) all_0_100_100 = e21
% 34.23/8.86 |
% 34.23/8.86 | Combining equations (441,494) yields a new equation:
% 34.23/8.86 | (677) e22 = e21
% 34.23/8.86 |
% 34.23/8.86 | Simplifying 677 yields:
% 34.23/8.86 | (533) e22 = e21
% 34.23/8.86 |
% 34.23/8.86 | Equations (533) can reduce 28 to:
% 34.23/8.86 | (401) $false
% 34.23/8.86 |
% 34.23/8.86 |-The branch is then unsatisfiable
% 34.23/8.86 |-Branch two:
% 34.23/8.86 | (497) ~ (all_0_100_100 = e21)
% 34.23/8.86 | (526) all_0_101_101 = e21
% 34.23/8.86 |
% 34.23/8.86 | Equations (526) can reduce 3 to:
% 34.23/8.86 | (486) ~ (e23 = e21)
% 34.23/8.86 |
% 34.23/8.86 | Simplifying 486 yields:
% 34.23/8.86 | (279) ~ (e23 = e21)
% 34.23/8.86 |
% 34.23/8.86 | Equations (526) can reduce 1086 to:
% 34.23/8.86 | (280) ~ (e21 = e20)
% 34.23/8.86 |
% 34.23/8.86 +-Applying beta-rule and splitting (479), into two cases.
% 34.23/8.86 |-Branch one:
% 34.23/8.86 | (480) all_0_103_103 = e21
% 34.23/8.86 |
% 34.23/8.86 | Combining equations (519,480) yields a new equation:
% 34.23/8.86 | (476) e21 = e20
% 34.23/8.86 |
% 34.23/8.86 | Equations (476) can reduce 280 to:
% 34.23/8.86 | (401) $false
% 34.23/8.86 |
% 34.23/8.86 |-The branch is then unsatisfiable
% 34.23/8.86 |-Branch two:
% 34.23/8.86 | (484) ~ (all_0_103_103 = e21)
% 34.23/8.86 | (485) all_0_107_107 = e21
% 34.23/8.86 |
% 34.23/8.86 | Combining equations (425,485) yields a new equation:
% 34.23/8.86 | (481) e23 = e21
% 34.23/8.86 |
% 34.23/8.86 | Simplifying 481 yields:
% 34.23/8.86 | (482) e23 = e21
% 34.23/8.86 |
% 34.23/8.86 | Equations (482) can reduce 279 to:
% 34.23/8.86 | (401) $false
% 34.23/8.86 |
% 34.23/8.86 |-The branch is then unsatisfiable
% 34.23/8.86 |-Branch two:
% 34.23/8.86 | (523) ~ (all_0_103_103 = e20)
% 34.23/8.86 | (460) all_0_107_107 = e20
% 34.23/8.86 |
% 34.23/8.86 | Combining equations (425,460) yields a new equation:
% 34.23/8.86 | (520) e23 = e20
% 34.23/8.86 |
% 34.23/8.86 | Simplifying 520 yields:
% 34.23/8.86 | (521) e23 = e20
% 34.23/8.86 |
% 34.23/8.86 | Equations (521) can reduce 44 to:
% 34.23/8.86 | (401) $false
% 34.23/8.86 |
% 34.23/8.86 |-The branch is then unsatisfiable
% 34.23/8.86 |-Branch two:
% 34.23/8.86 | (855) ~ (all_0_109_109 = e22)
% 34.23/8.86 | (860) all_0_109_109 = e21 | all_0_109_109 = e20
% 34.23/8.86 |
% 34.23/8.86 +-Applying beta-rule and splitting (290), into two cases.
% 34.23/8.86 |-Branch one:
% 34.23/8.86 | (540) all_0_101_101 = e22
% 34.23/8.86 |
% 34.23/8.86 | Equations (540) can reduce 543 to:
% 34.23/8.86 | (401) $false
% 34.23/8.86 |
% 34.23/8.86 |-The branch is then unsatisfiable
% 34.23/8.86 |-Branch two:
% 34.23/8.86 | (543) ~ (all_0_101_101 = e22)
% 34.23/8.86 | (1315) all_0_105_105 = e22 | all_0_109_109 = e22
% 34.23/8.86 |
% 34.23/8.86 +-Applying beta-rule and splitting (22), into two cases.
% 34.23/8.86 |-Branch one:
% 34.23/8.86 | (470) all_0_108_108 = e22
% 34.23/8.86 |
% 34.23/8.86 | Combining equations (699,470) yields a new equation:
% 34.23/8.86 | (533) e22 = e21
% 34.23/8.86 |
% 34.23/8.86 | Equations (533) can reduce 28 to:
% 34.23/8.86 | (401) $false
% 34.23/8.86 |
% 34.23/8.86 |-The branch is then unsatisfiable
% 34.23/8.86 |-Branch two:
% 34.23/8.86 | (703) ~ (all_0_108_108 = e22)
% 34.23/8.86 | (704) all_0_109_109 = e22 | all_0_110_110 = e22
% 34.23/8.86 |
% 34.23/8.86 +-Applying beta-rule and splitting (704), into two cases.
% 34.23/8.86 |-Branch one:
% 34.23/8.86 | (857) all_0_109_109 = e22
% 34.23/8.86 |
% 34.23/8.86 | Equations (857) can reduce 855 to:
% 34.23/8.86 | (401) $false
% 34.23/8.86 |
% 34.23/8.86 |-The branch is then unsatisfiable
% 34.23/8.86 |-Branch two:
% 34.23/8.86 | (855) ~ (all_0_109_109 = e22)
% 34.23/8.86 | (1082) all_0_110_110 = e22
% 34.23/8.86 |
% 34.23/8.86 | Equations (1082) can reduce 131 to:
% 34.23/8.86 | (804) ~ (all_0_106_106 = e22)
% 34.23/8.86 |
% 34.23/8.86 | From (1082) and (309) follows:
% 34.23/8.86 | (1622) op2(all_0_97_97, e22) = all_0_74_74
% 34.23/8.86 |
% 34.23/8.86 | From (1082) and (52) follows:
% 34.23/8.86 | (1623) op2(all_0_98_98, e22) = all_0_85_85
% 34.23/8.86 |
% 34.23/8.86 | From (1082) and (69) follows:
% 34.23/8.86 | (1627) op2(e20, e22) = all_0_97_97
% 34.23/8.86 |
% 34.23/8.86 | From (1082) and (340) follows:
% 34.23/8.86 | (1628) op2(e20, e20) = e22
% 34.23/8.86 |
% 34.23/8.86 +-Applying beta-rule and splitting (463), into two cases.
% 34.23/8.86 |-Branch one:
% 34.23/8.86 | (464) all_0_109_109 = e20
% 34.23/8.86 |
% 34.23/8.86 | Equations (464) can reduce 146 to:
% 34.23/8.86 | (1086) ~ (all_0_101_101 = e20)
% 34.23/8.86 |
% 34.23/8.86 | Equations (464) can reduce 314 to:
% 34.23/8.86 | (452) ~ (e23 = e20)
% 34.23/8.86 |
% 34.23/8.86 | Simplifying 452 yields:
% 34.23/8.86 | (44) ~ (e23 = e20)
% 34.23/8.86 |
% 34.23/8.86 | From (464) and (175) follows:
% 34.23/8.86 | (469) op2(e20, e21) = e20
% 34.23/8.86 |
% 34.23/8.86 +-Applying beta-rule and splitting (311), into two cases.
% 34.23/8.86 |-Branch one:
% 34.23/8.86 | (447) all_0_99_99 = e20
% 34.23/8.86 |
% 34.23/8.86 | Equations (447) can reduce 184 to:
% 34.23/8.86 | (1498) ~ (all_0_101_101 = e20)
% 34.23/8.86 |
% 34.23/8.86 | Simplifying 1498 yields:
% 34.23/8.86 | (1086) ~ (all_0_101_101 = e20)
% 34.23/8.86 |
% 34.23/8.86 | From (447) and (11) follows:
% 34.23/8.86 | (1505) op2(all_0_94_94, e20) = all_0_19_19
% 34.23/8.86 |
% 34.23/8.86 | From (447) and (40) follows:
% 34.23/8.86 | (455) op2(e20, all_0_94_94) = all_0_6_6
% 34.23/8.86 |
% 34.23/8.86 | From (447)(447) and (292) follows:
% 34.23/8.86 | (456) op2(e20, e20) = all_0_0_0
% 34.23/8.86 |
% 34.23/8.86 | From (447) and (79) follows:
% 34.23/8.86 | (458) op2(e23, e20) = all_0_93_93
% 34.23/8.86 |
% 34.23/8.86 | From (447) and (209) follows:
% 34.23/8.86 | (459) op2(e23, e23) = e20
% 34.23/8.86 |
% 34.23/8.86 +-Applying beta-rule and splitting (114), into two cases.
% 34.23/8.86 |-Branch one:
% 34.23/8.86 | (540) all_0_101_101 = e22
% 34.23/8.86 |
% 34.23/8.86 | Equations (540) can reduce 543 to:
% 34.23/8.86 | (401) $false
% 34.23/8.86 |
% 34.23/8.86 |-The branch is then unsatisfiable
% 34.23/8.86 |-Branch two:
% 34.23/8.86 | (543) ~ (all_0_101_101 = e22)
% 34.23/8.86 | (1284) all_0_101_101 = e21 | all_0_101_101 = e20
% 34.23/8.86 |
% 34.23/8.86 +-Applying beta-rule and splitting (1284), into two cases.
% 34.23/8.86 |-Branch one:
% 34.23/8.86 | (821) all_0_101_101 = e20
% 34.23/8.86 |
% 34.23/8.86 | Equations (821) can reduce 1086 to:
% 34.23/8.86 | (401) $false
% 34.23/8.86 |
% 34.23/8.86 |-The branch is then unsatisfiable
% 34.23/8.86 |-Branch two:
% 34.23/8.86 | (1086) ~ (all_0_101_101 = e20)
% 34.23/8.86 | (526) all_0_101_101 = e21
% 34.23/8.86 |
% 34.23/8.86 | Equations (526) can reduce 3 to:
% 34.23/8.86 | (486) ~ (e23 = e21)
% 34.23/8.86 |
% 34.23/8.86 | Simplifying 486 yields:
% 34.23/8.86 | (279) ~ (e23 = e21)
% 34.23/8.86 |
% 34.23/8.86 | Equations (526) can reduce 1086 to:
% 34.23/8.86 | (280) ~ (e21 = e20)
% 34.23/8.86 |
% 34.23/8.86 +-Applying beta-rule and splitting (50), into two cases.
% 34.23/8.86 |-Branch one:
% 34.23/8.86 | (480) all_0_103_103 = e21
% 34.23/8.86 |
% 34.23/8.86 | Equations (480) can reduce 144 to:
% 34.23/8.86 | (500) ~ (all_0_105_105 = e21)
% 34.23/8.86 |
% 34.23/8.86 | Simplifying 500 yields:
% 34.23/8.86 | (501) ~ (all_0_105_105 = e21)
% 34.23/8.86 |
% 34.23/8.86 | Equations (480) can reduce 109 to:
% 34.23/8.86 | (502) ~ (all_0_106_106 = e21)
% 34.23/8.86 |
% 34.23/8.86 | Simplifying 502 yields:
% 34.23/8.86 | (358) ~ (all_0_106_106 = e21)
% 34.23/8.86 |
% 34.23/8.86 | From (480) and (2462) follows:
% 34.23/8.86 | (2876) op2(e21, all_0_96_96) = all_0_41_41
% 34.23/8.86 |
% 34.23/8.86 | From (480)(480) and (2461) follows:
% 34.23/8.86 | (2700) op2(e21, e21) = all_0_37_37
% 34.23/8.86 |
% 34.23/8.86 | From (480) and (2463) follows:
% 34.23/8.86 | (2701) op2(e21, e23) = all_0_35_35
% 34.23/8.86 |
% 34.23/8.86 | From (480) and (2464) follows:
% 34.23/8.86 | (2879) op2(e21, e22) = all_0_39_39
% 34.23/8.86 |
% 34.23/8.86 | From (480) and (2468) follows:
% 34.23/8.86 | (2702) op2(e22, e21) = all_0_96_96
% 34.23/8.86 |
% 34.23/8.86 +-Applying beta-rule and splitting (440), into two cases.
% 34.23/8.86 |-Branch one:
% 34.23/8.86 | (683) all_0_106_106 = e22
% 34.23/8.86 |
% 34.23/8.86 | Equations (683) can reduce 804 to:
% 34.23/8.86 | (401) $false
% 34.23/8.86 |
% 34.23/8.86 |-The branch is then unsatisfiable
% 34.23/8.86 |-Branch two:
% 34.23/8.86 | (804) ~ (all_0_106_106 = e22)
% 34.23/8.86 | (529) all_0_106_106 = e20
% 34.23/8.86 |
% 34.23/8.86 | Equations (529) can reduce 241 to:
% 34.23/8.86 | (834) ~ (all_0_105_105 = e20)
% 34.23/8.86 |
% 34.23/8.86 | Equations (529) can reduce 358 to:
% 34.23/8.86 | (530) ~ (e21 = e20)
% 34.23/8.86 |
% 34.23/8.86 | Simplifying 530 yields:
% 34.23/8.86 | (280) ~ (e21 = e20)
% 34.23/8.86 |
% 34.23/8.86 +-Applying beta-rule and splitting (341), into two cases.
% 34.23/8.86 |-Branch one:
% 34.23/8.86 | (537) all_0_105_105 = e22
% 34.23/8.86 |
% 34.23/8.86 | Equations (537) can reduce 501 to:
% 34.23/8.86 | (28) ~ (e22 = e21)
% 34.23/8.86 |
% 34.23/8.86 | From (537) and (61) follows:
% 34.23/8.86 | (539) op2(e22, e21) = e22
% 34.23/8.86 |
% 34.23/8.86 | Instantiating formula (312) with e23, e20, all_0_93_93, e23 and discharging atoms op2(e23, e20) = all_0_93_93, op2(e23, e20) = e23, yields:
% 34.23/8.86 | (1545) all_0_93_93 = e23
% 34.23/8.86 |
% 34.23/8.86 | Instantiating formula (312) with e22, e21, e22, all_0_96_96 and discharging atoms op2(e22, e21) = all_0_96_96, op2(e22, e21) = e22, yields:
% 34.23/8.86 | (1199) all_0_96_96 = e22
% 34.23/8.86 |
% 34.23/8.86 | Instantiating formula (312) with e21, e23, all_0_35_35, e22 and discharging atoms op2(e21, e23) = all_0_35_35, op2(e21, e23) = e22, yields:
% 34.23/8.86 | (582) all_0_35_35 = e22
% 34.23/8.86 |
% 34.23/8.86 | Instantiating formula (312) with e21, e22, all_0_39_39, e20 and discharging atoms op2(e21, e22) = all_0_39_39, op2(e21, e22) = e20, yields:
% 34.23/8.86 | (2894) all_0_39_39 = e20
% 34.23/8.86 |
% 34.23/8.86 | Instantiating formula (312) with e21, e21, all_0_37_37, e23 and discharging atoms op2(e21, e21) = all_0_37_37, op2(e21, e21) = e23, yields:
% 34.23/8.86 | (1202) all_0_37_37 = e23
% 34.23/8.86 |
% 34.23/8.86 | Instantiating formula (312) with e20, e22, all_0_97_97, e21 and discharging atoms op2(e20, e22) = all_0_97_97, op2(e20, e22) = e21, yields:
% 34.23/8.86 | (2896) all_0_97_97 = e21
% 34.23/8.86 |
% 34.23/8.86 | Instantiating formula (312) with e20, e20, e22, all_0_0_0 and discharging atoms op2(e20, e20) = all_0_0_0, op2(e20, e20) = e22, yields:
% 34.23/8.86 | (2241) all_0_0_0 = e22
% 34.23/8.86 |
% 34.23/8.86 | From (1545)(1545) and (103) follows:
% 34.23/8.86 | (1548) op2(e23, e23) = all_0_10_10
% 34.23/8.86 |
% 34.23/8.86 | From (1545) and (81) follows:
% 34.23/8.86 | (1549) op2(e23, e23) = all_0_12_12
% 34.23/8.86 |
% 34.23/8.86 | From (2896)(2896) and (306) follows:
% 34.23/8.86 | (490) op2(e21, e21) = all_0_76_76
% 34.23/8.86 |
% 34.23/8.86 | From (2896) and (1622) follows:
% 34.23/8.86 | (2901) op2(e21, e22) = all_0_74_74
% 34.23/8.86 |
% 34.23/8.86 | From (1545) and (190) follows:
% 34.23/8.87 | (1551) op2(e23, e23) = all_0_94_94
% 34.23/8.87 |
% 34.23/8.87 | From (1199) and (2876) follows:
% 34.23/8.87 | (2903) op2(e21, e22) = all_0_41_41
% 34.23/8.87 |
% 34.23/8.87 | From (582) and (2701) follows:
% 34.23/8.87 | (89) op2(e21, e23) = e22
% 34.23/8.87 |
% 34.23/8.87 | From (2894) and (2879) follows:
% 34.23/8.87 | (151) op2(e21, e22) = e20
% 34.23/8.87 |
% 34.23/8.87 | From (1202) and (2700) follows:
% 34.23/8.87 | (224) op2(e21, e21) = e23
% 34.23/8.87 |
% 34.23/8.87 | From (2896) and (240) follows:
% 34.23/8.87 | (492) op2(e20, e21) = all_0_98_98
% 34.23/8.87 |
% 34.23/8.87 | From (2896) and (1627) follows:
% 34.23/8.87 | (1000) op2(e20, e22) = e21
% 34.23/8.87 |
% 34.23/8.87 | From (2241) and (456) follows:
% 34.23/8.87 | (1628) op2(e20, e20) = e22
% 34.23/8.87 |
% 34.23/8.87 | Instantiating formula (312) with e23, e23, all_0_10_10, e20 and discharging atoms op2(e23, e23) = all_0_10_10, op2(e23, e23) = e20, yields:
% 34.23/8.87 | (1556) all_0_10_10 = e20
% 34.23/8.87 |
% 34.23/8.87 | Instantiating formula (312) with e23, e23, all_0_12_12, all_0_10_10 and discharging atoms op2(e23, e23) = all_0_10_10, op2(e23, e23) = all_0_12_12, yields:
% 34.23/8.87 | (1557) all_0_10_10 = all_0_12_12
% 34.23/8.87 |
% 34.23/8.87 | Instantiating formula (312) with e23, e23, all_0_94_94, all_0_10_10 and discharging atoms op2(e23, e23) = all_0_10_10, op2(e23, e23) = all_0_94_94, yields:
% 34.23/8.87 | (1558) all_0_10_10 = all_0_94_94
% 34.23/8.87 |
% 34.23/8.87 | Instantiating formula (312) with e21, e22, all_0_41_41, e20 and discharging atoms op2(e21, e22) = all_0_41_41, op2(e21, e22) = e20, yields:
% 34.23/8.87 | (2913) all_0_41_41 = e20
% 34.23/8.87 |
% 34.23/8.87 | Instantiating formula (312) with e21, e22, all_0_74_74, all_0_41_41 and discharging atoms op2(e21, e22) = all_0_41_41, op2(e21, e22) = all_0_74_74, yields:
% 34.23/8.87 | (2914) all_0_41_41 = all_0_74_74
% 34.23/8.87 |
% 34.23/8.87 | Instantiating formula (312) with e21, e21, all_0_76_76, e23 and discharging atoms op2(e21, e21) = all_0_76_76, op2(e21, e21) = e23, yields:
% 34.23/8.87 | (555) all_0_76_76 = e23
% 34.23/8.87 |
% 34.23/8.87 | Instantiating formula (312) with e20, e21, all_0_98_98, e20 and discharging atoms op2(e20, e21) = all_0_98_98, op2(e20, e21) = e20, yields:
% 34.23/8.87 | (553) all_0_98_98 = e20
% 34.23/8.87 |
% 34.23/8.87 | Combining equations (1558,1557) yields a new equation:
% 34.23/8.87 | (1561) all_0_12_12 = all_0_94_94
% 34.23/8.87 |
% 34.23/8.87 | Combining equations (1556,1557) yields a new equation:
% 34.23/8.87 | (1562) all_0_12_12 = e20
% 34.23/8.87 |
% 34.23/8.87 | Combining equations (1562,1561) yields a new equation:
% 34.23/8.87 | (1563) all_0_94_94 = e20
% 34.23/8.87 |
% 34.23/8.87 | Combining equations (2913,2914) yields a new equation:
% 34.23/8.87 | (2920) all_0_74_74 = e20
% 34.23/8.87 |
% 34.23/8.87 | From (1563)(1563) and (323) follows:
% 34.23/8.87 | (1564) op2(e20, e20) = all_0_25_25
% 34.23/8.87 |
% 34.23/8.87 | From (1563) and (1505) follows:
% 34.23/8.87 | (1566) op2(e20, e20) = all_0_19_19
% 34.23/8.87 |
% 34.23/8.87 | From (553)(553) and (263) follows:
% 34.23/8.87 | (562) op2(e20, e20) = all_0_91_91
% 34.23/8.87 |
% 34.23/8.87 | From (553) and (1623) follows:
% 34.23/8.87 | (1993) op2(e20, e22) = all_0_85_85
% 34.23/8.87 |
% 34.23/8.87 | From (553) and (162) follows:
% 34.23/8.87 | (564) op2(e20, e20) = all_0_89_89
% 34.23/8.87 |
% 34.23/8.87 | From (2920) and (2901) follows:
% 34.23/8.87 | (151) op2(e21, e22) = e20
% 34.23/8.87 |
% 34.23/8.87 | From (555) and (490) follows:
% 34.23/8.87 | (224) op2(e21, e21) = e23
% 34.23/8.87 |
% 34.23/8.87 | From (1563) and (455) follows:
% 34.23/8.87 | (1569) op2(e20, e20) = all_0_6_6
% 34.23/8.87 |
% 34.23/8.87 | From (553) and (128) follows:
% 34.23/8.87 | (573) op2(e20, e20) = all_0_84_84
% 34.23/8.87 |
% 34.23/8.87 | Instantiating formula (312) with e20, e22, all_0_85_85, e21 and discharging atoms op2(e20, e22) = all_0_85_85, op2(e20, e22) = e21, yields:
% 34.23/8.87 | (584) all_0_85_85 = e21
% 34.23/8.87 |
% 34.23/8.87 | Instantiating formula (312) with e20, e20, all_0_19_19, e22 and discharging atoms op2(e20, e20) = all_0_19_19, op2(e20, e20) = e22, yields:
% 34.23/8.87 | (2291) all_0_19_19 = e22
% 34.23/8.87 |
% 34.23/8.87 | Instantiating formula (312) with e20, e20, all_0_19_19, all_0_6_6 and discharging atoms op2(e20, e20) = all_0_6_6, op2(e20, e20) = all_0_19_19, yields:
% 34.23/8.87 | (1574) all_0_6_6 = all_0_19_19
% 34.23/8.87 |
% 34.23/8.87 | Instantiating formula (312) with e20, e20, all_0_25_25, all_0_19_19 and discharging atoms op2(e20, e20) = all_0_19_19, op2(e20, e20) = all_0_25_25, yields:
% 34.23/8.87 | (1575) all_0_19_19 = all_0_25_25
% 34.23/8.87 |
% 34.23/8.87 | Instantiating formula (312) with e20, e20, all_0_84_84, all_0_6_6 and discharging atoms op2(e20, e20) = all_0_6_6, op2(e20, e20) = all_0_84_84, yields:
% 34.23/8.87 | (2934) all_0_6_6 = all_0_84_84
% 34.23/8.87 |
% 34.23/8.87 | Instantiating formula (312) with e20, e20, all_0_89_89, all_0_6_6 and discharging atoms op2(e20, e20) = all_0_6_6, op2(e20, e20) = all_0_89_89, yields:
% 34.23/8.87 | (2935) all_0_6_6 = all_0_89_89
% 34.23/8.87 |
% 34.23/8.87 | Instantiating formula (312) with e20, e20, all_0_91_91, all_0_89_89 and discharging atoms op2(e20, e20) = all_0_89_89, op2(e20, e20) = all_0_91_91, yields:
% 34.23/8.87 | (595) all_0_89_89 = all_0_91_91
% 34.23/8.87 |
% 34.23/8.87 | Combining equations (1574,2934) yields a new equation:
% 34.23/8.87 | (2937) all_0_19_19 = all_0_84_84
% 34.23/8.87 |
% 34.23/8.87 | Simplifying 2937 yields:
% 34.23/8.87 | (2938) all_0_19_19 = all_0_84_84
% 34.23/8.87 |
% 34.23/8.87 | Combining equations (2935,2934) yields a new equation:
% 34.23/8.87 | (587) all_0_84_84 = all_0_89_89
% 34.23/8.87 |
% 34.23/8.87 | Combining equations (2291,1575) yields a new equation:
% 34.23/8.87 | (2296) all_0_25_25 = e22
% 34.23/8.87 |
% 34.23/8.87 | Combining equations (2938,1575) yields a new equation:
% 34.23/8.87 | (2941) all_0_25_25 = all_0_84_84
% 34.23/8.87 |
% 34.23/8.87 | Combining equations (2941,2296) yields a new equation:
% 34.23/8.87 | (2942) all_0_84_84 = e22
% 34.23/8.87 |
% 34.23/8.87 | Simplifying 2942 yields:
% 34.23/8.87 | (2943) all_0_84_84 = e22
% 34.23/8.87 |
% 34.23/8.87 | Combining equations (587,2943) yields a new equation:
% 34.23/8.87 | (2944) all_0_89_89 = e22
% 34.23/8.87 |
% 34.23/8.87 | Simplifying 2944 yields:
% 34.23/8.87 | (2945) all_0_89_89 = e22
% 34.23/8.87 |
% 34.23/8.87 | Combining equations (595,2945) yields a new equation:
% 34.23/8.87 | (2946) all_0_91_91 = e22
% 34.23/8.87 |
% 34.23/8.87 | Simplifying 2946 yields:
% 34.23/8.87 | (2947) all_0_91_91 = e22
% 34.23/8.87 |
% 34.23/8.87 | From (584) and (1993) follows:
% 34.23/8.87 | (1000) op2(e20, e22) = e21
% 34.23/8.87 |
% 34.23/8.87 | From (2947) and (562) follows:
% 34.23/8.87 | (1628) op2(e20, e20) = e22
% 34.23/8.87 |
% 34.23/8.87 +-Applying beta-rule and splitting (277), into two cases.
% 34.23/8.87 |-Branch one:
% 34.23/8.87 | (637) unit2 = e23
% 34.23/8.87 |
% 34.23/8.87 | From (637) and (105) follows:
% 34.23/8.87 | (640) op2(e21, e23) = e21
% 34.23/8.87 |
% 34.23/8.87 | Instantiating formula (312) with e21, e23, e21, e22 and discharging atoms op2(e21, e23) = e22, op2(e21, e23) = e21, yields:
% 34.23/8.87 | (533) e22 = e21
% 34.23/8.87 |
% 34.23/8.87 | Equations (533) can reduce 28 to:
% 34.23/8.87 | (401) $false
% 34.23/8.87 |
% 34.23/8.87 |-The branch is then unsatisfiable
% 34.23/8.87 |-Branch two:
% 34.23/8.87 | (649) ~ (unit2 = e23)
% 34.23/8.87 | (650) unit2 = e22 | unit2 = e21 | unit2 = e20
% 34.23/8.87 |
% 34.23/8.87 +-Applying beta-rule and splitting (650), into two cases.
% 34.23/8.87 |-Branch one:
% 34.23/8.87 | (651) unit2 = e22
% 34.23/8.87 |
% 34.23/8.87 | From (651) and (202) follows:
% 34.23/8.87 | (653) op2(e20, e22) = e20
% 34.23/8.87 |
% 34.23/8.87 | Instantiating formula (312) with e20, e22, e20, e21 and discharging atoms op2(e20, e22) = e21, op2(e20, e22) = e20, yields:
% 34.23/8.87 | (476) e21 = e20
% 34.23/8.87 |
% 34.23/8.87 | Equations (476) can reduce 280 to:
% 34.23/8.87 | (401) $false
% 34.23/8.87 |
% 34.23/8.87 |-The branch is then unsatisfiable
% 34.23/8.87 |-Branch two:
% 34.23/8.87 | (658) ~ (unit2 = e22)
% 34.23/8.87 | (659) unit2 = e21 | unit2 = e20
% 34.23/8.87 |
% 34.23/8.87 +-Applying beta-rule and splitting (659), into two cases.
% 34.23/8.87 |-Branch one:
% 34.23/8.87 | (660) unit2 = e20
% 34.23/8.87 |
% 34.23/8.87 | From (660) and (23) follows:
% 34.23/8.87 | (474) op2(e20, e22) = e22
% 34.23/8.87 |
% 34.23/8.87 | From (660) and (202) follows:
% 34.23/8.87 | (662) op2(e20, e20) = e20
% 34.23/8.87 |
% 34.23/8.87 | Instantiating formula (312) with e20, e22, e22, e21 and discharging atoms op2(e20, e22) = e22, op2(e20, e22) = e21, yields:
% 34.23/8.87 | (533) e22 = e21
% 34.23/8.87 |
% 34.23/8.87 | Instantiating formula (312) with e20, e20, e20, e22 and discharging atoms op2(e20, e20) = e22, op2(e20, e20) = e20, yields:
% 34.23/8.87 | (645) e22 = e20
% 34.23/8.87 |
% 34.23/8.87 | Combining equations (533,645) yields a new equation:
% 34.23/8.87 | (646) e21 = e20
% 34.23/8.87 |
% 34.23/8.87 | Simplifying 646 yields:
% 34.23/8.87 | (476) e21 = e20
% 34.23/8.87 |
% 34.23/8.87 | Equations (476) can reduce 280 to:
% 34.23/8.87 | (401) $false
% 34.23/8.87 |
% 34.23/8.87 |-The branch is then unsatisfiable
% 34.23/8.87 |-Branch two:
% 34.23/8.87 | (668) ~ (unit2 = e20)
% 34.23/8.87 | (669) unit2 = e21
% 34.23/8.88 |
% 34.23/8.88 | Equations (669) can reduce 668 to:
% 34.23/8.88 | (280) ~ (e21 = e20)
% 34.23/8.88 |
% 34.23/8.88 | From (669) and (299) follows:
% 34.23/8.88 | (671) op2(e21, e23) = e23
% 34.23/8.88 |
% 34.23/8.88 | From (669) and (23) follows:
% 34.23/8.88 | (672) op2(e21, e22) = e22
% 34.23/8.88 |
% 34.23/8.88 | From (669) and (105) follows:
% 34.23/8.88 | (673) op2(e21, e21) = e21
% 34.23/8.88 |
% 34.23/8.88 | Instantiating formula (312) with e21, e23, e23, e22 and discharging atoms op2(e21, e23) = e23, op2(e21, e23) = e22, yields:
% 34.23/8.88 | (442) e23 = e22
% 34.23/8.88 |
% 34.23/8.88 | Instantiating formula (312) with e21, e22, e22, e20 and discharging atoms op2(e21, e22) = e22, op2(e21, e22) = e20, yields:
% 34.23/8.88 | (645) e22 = e20
% 34.23/8.88 |
% 34.23/8.88 | Instantiating formula (312) with e21, e21, e21, e23 and discharging atoms op2(e21, e21) = e23, op2(e21, e21) = e21, yields:
% 34.23/8.88 | (482) e23 = e21
% 34.23/8.88 |
% 34.23/8.88 | Combining equations (442,482) yields a new equation:
% 34.23/8.88 | (677) e22 = e21
% 34.23/8.88 |
% 34.23/8.88 | Simplifying 677 yields:
% 34.23/8.88 | (533) e22 = e21
% 34.23/8.88 |
% 34.23/8.88 | Combining equations (533,645) yields a new equation:
% 34.23/8.88 | (646) e21 = e20
% 34.23/8.88 |
% 34.23/8.88 | Simplifying 646 yields:
% 34.23/8.88 | (476) e21 = e20
% 34.23/8.88 |
% 34.23/8.88 | Equations (476) can reduce 280 to:
% 34.23/8.88 | (401) $false
% 34.23/8.88 |
% 34.23/8.88 |-The branch is then unsatisfiable
% 34.23/8.88 |-Branch two:
% 34.23/8.88 | (682) ~ (all_0_105_105 = e22)
% 34.23/8.88 | (969) all_0_105_105 = e21 | all_0_105_105 = e20
% 34.23/8.88 |
% 34.23/8.88 +-Applying beta-rule and splitting (969), into two cases.
% 34.23/8.88 |-Branch one:
% 34.23/8.88 | (986) all_0_105_105 = e20
% 34.23/8.88 |
% 34.23/8.88 | Equations (986) can reduce 834 to:
% 34.23/8.88 | (401) $false
% 34.23/8.88 |
% 34.23/8.88 |-The branch is then unsatisfiable
% 34.23/8.88 |-Branch two:
% 34.23/8.88 | (834) ~ (all_0_105_105 = e20)
% 34.23/8.88 | (692) all_0_105_105 = e21
% 34.23/8.88 |
% 34.23/8.88 | Equations (692) can reduce 501 to:
% 34.23/8.88 | (401) $false
% 34.23/8.88 |
% 34.23/8.88 |-The branch is then unsatisfiable
% 34.23/8.88 |-Branch two:
% 34.23/8.88 | (484) ~ (all_0_103_103 = e21)
% 34.23/8.88 | (883) all_0_104_104 = e21 | all_0_105_105 = e21
% 34.23/8.88 |
% 34.23/8.88 +-Applying beta-rule and splitting (247), into two cases.
% 34.23/8.88 |-Branch one:
% 34.23/8.88 | (475) all_0_99_99 = e21
% 34.23/8.88 |
% 34.23/8.88 | Combining equations (447,475) yields a new equation:
% 34.23/8.88 | (476) e21 = e20
% 34.23/8.88 |
% 34.23/8.88 | Equations (476) can reduce 280 to:
% 34.23/8.88 | (401) $false
% 34.23/8.88 |
% 34.23/8.88 |-The branch is then unsatisfiable
% 34.23/8.88 |-Branch two:
% 34.23/8.88 | (478) ~ (all_0_99_99 = e21)
% 34.23/8.88 | (479) all_0_103_103 = e21 | all_0_107_107 = e21
% 34.23/8.88 |
% 34.23/8.88 +-Applying beta-rule and splitting (479), into two cases.
% 34.23/8.88 |-Branch one:
% 34.23/8.88 | (480) all_0_103_103 = e21
% 34.23/8.88 |
% 34.23/8.88 | Equations (480) can reduce 484 to:
% 34.23/8.88 | (401) $false
% 34.23/8.88 |
% 34.23/8.88 |-The branch is then unsatisfiable
% 34.23/8.88 |-Branch two:
% 34.23/8.88 | (484) ~ (all_0_103_103 = e21)
% 34.23/8.88 | (485) all_0_107_107 = e21
% 34.23/8.88 |
% 34.23/8.88 | Combining equations (485,425) yields a new equation:
% 34.23/8.88 | (482) e23 = e21
% 34.23/8.88 |
% 34.23/8.88 | Equations (482) can reduce 279 to:
% 34.23/8.88 | (401) $false
% 34.23/8.88 |
% 34.23/8.88 |-The branch is then unsatisfiable
% 34.23/8.88 |-Branch two:
% 34.23/8.88 | (719) ~ (all_0_99_99 = e20)
% 34.23/8.88 | (813) all_0_101_101 = e20 | all_0_102_102 = e20
% 34.23/8.88 |
% 34.23/8.88 +-Applying beta-rule and splitting (114), into two cases.
% 34.23/8.88 |-Branch one:
% 34.23/8.88 | (540) all_0_101_101 = e22
% 34.23/8.88 |
% 34.23/8.88 | Equations (540) can reduce 543 to:
% 34.23/8.88 | (401) $false
% 34.23/8.88 |
% 34.23/8.88 |-The branch is then unsatisfiable
% 34.23/8.88 |-Branch two:
% 34.23/8.88 | (543) ~ (all_0_101_101 = e22)
% 34.23/8.88 | (1284) all_0_101_101 = e21 | all_0_101_101 = e20
% 34.23/8.88 |
% 34.23/8.88 +-Applying beta-rule and splitting (266), into two cases.
% 34.23/8.88 |-Branch one:
% 34.23/8.88 | (447) all_0_99_99 = e20
% 34.23/8.88 |
% 34.23/8.88 | Equations (447) can reduce 719 to:
% 34.23/8.88 | (401) $false
% 34.23/8.88 |
% 34.23/8.88 |-The branch is then unsatisfiable
% 34.23/8.88 |-Branch two:
% 34.23/8.88 | (719) ~ (all_0_99_99 = e20)
% 34.23/8.88 | (720) all_0_103_103 = e20 | all_0_107_107 = e20
% 34.23/8.88 |
% 34.23/8.88 +-Applying beta-rule and splitting (1284), into two cases.
% 34.23/8.88 |-Branch one:
% 34.23/8.88 | (821) all_0_101_101 = e20
% 34.23/8.88 |
% 34.23/8.88 | Equations (821) can reduce 1086 to:
% 34.23/8.88 | (401) $false
% 34.23/8.88 |
% 34.23/8.88 |-The branch is then unsatisfiable
% 34.23/8.88 |-Branch two:
% 34.23/8.88 | (1086) ~ (all_0_101_101 = e20)
% 34.23/8.88 | (526) all_0_101_101 = e21
% 34.23/8.88 |
% 34.23/8.88 | Equations (526) can reduce 184 to:
% 34.23/8.88 | (478) ~ (all_0_99_99 = e21)
% 34.23/8.88 |
% 34.23/8.88 | Equations (526) can reduce 3 to:
% 34.23/8.88 | (486) ~ (e23 = e21)
% 34.23/8.88 |
% 34.23/8.88 | Simplifying 486 yields:
% 34.23/8.88 | (279) ~ (e23 = e21)
% 34.23/8.88 |
% 34.23/8.88 | Equations (526) can reduce 1086 to:
% 34.23/8.88 | (280) ~ (e21 = e20)
% 34.23/8.88 |
% 34.23/8.88 +-Applying beta-rule and splitting (50), into two cases.
% 34.23/8.88 |-Branch one:
% 34.23/8.88 | (480) all_0_103_103 = e21
% 34.23/8.88 |
% 34.23/8.88 +-Applying beta-rule and splitting (720), into two cases.
% 34.23/8.88 |-Branch one:
% 34.23/8.88 | (519) all_0_103_103 = e20
% 34.23/8.88 |
% 34.23/8.88 | Combining equations (480,519) yields a new equation:
% 34.23/8.88 | (646) e21 = e20
% 34.23/8.88 |
% 34.23/8.88 | Simplifying 646 yields:
% 34.23/8.88 | (476) e21 = e20
% 34.23/8.88 |
% 34.23/8.88 | Equations (476) can reduce 280 to:
% 34.23/8.88 | (401) $false
% 34.23/8.88 |
% 34.23/8.88 |-The branch is then unsatisfiable
% 34.23/8.88 |-Branch two:
% 34.23/8.88 | (523) ~ (all_0_103_103 = e20)
% 34.23/8.88 | (460) all_0_107_107 = e20
% 34.23/8.88 |
% 34.23/8.88 | Combining equations (460,425) yields a new equation:
% 34.23/8.88 | (521) e23 = e20
% 34.23/8.88 |
% 34.23/8.88 | Equations (521) can reduce 44 to:
% 34.23/8.88 | (401) $false
% 34.23/8.88 |
% 34.23/8.88 |-The branch is then unsatisfiable
% 34.23/8.88 |-Branch two:
% 34.23/8.88 | (484) ~ (all_0_103_103 = e21)
% 34.23/8.88 | (883) all_0_104_104 = e21 | all_0_105_105 = e21
% 34.23/8.88 |
% 34.23/8.88 +-Applying beta-rule and splitting (247), into two cases.
% 34.23/8.88 |-Branch one:
% 34.23/8.88 | (475) all_0_99_99 = e21
% 34.23/8.88 |
% 34.23/8.88 | Equations (475) can reduce 478 to:
% 34.23/8.88 | (401) $false
% 34.23/8.88 |
% 34.23/8.88 |-The branch is then unsatisfiable
% 34.23/8.88 |-Branch two:
% 34.23/8.88 | (478) ~ (all_0_99_99 = e21)
% 34.23/8.88 | (479) all_0_103_103 = e21 | all_0_107_107 = e21
% 34.23/8.88 |
% 34.23/8.88 +-Applying beta-rule and splitting (479), into two cases.
% 34.23/8.88 |-Branch one:
% 34.23/8.88 | (480) all_0_103_103 = e21
% 34.23/8.88 |
% 34.23/8.88 | Equations (480) can reduce 484 to:
% 34.23/8.88 | (401) $false
% 34.23/8.88 |
% 34.23/8.88 |-The branch is then unsatisfiable
% 34.23/8.88 |-Branch two:
% 34.23/8.88 | (484) ~ (all_0_103_103 = e21)
% 34.23/8.88 | (485) all_0_107_107 = e21
% 34.23/8.88 |
% 34.23/8.88 | Combining equations (425,485) yields a new equation:
% 34.23/8.88 | (481) e23 = e21
% 34.23/8.88 |
% 34.23/8.88 | Simplifying 481 yields:
% 34.23/8.88 | (482) e23 = e21
% 34.23/8.88 |
% 34.23/8.88 | Equations (482) can reduce 279 to:
% 34.23/8.88 | (401) $false
% 34.23/8.88 |
% 34.23/8.88 |-The branch is then unsatisfiable
% 34.23/8.88 |-Branch two:
% 34.23/8.88 | (715) ~ (all_0_109_109 = e20)
% 34.23/8.88 | (687) all_0_110_110 = e20
% 34.23/8.88 |
% 34.23/8.88 | Combining equations (687,1082) yields a new equation:
% 34.23/8.88 | (645) e22 = e20
% 34.23/8.88 |
% 34.23/8.88 | Equations (645) can reduce 304 to:
% 34.23/8.88 | (401) $false
% 34.23/8.88 |
% 34.23/8.88 |-The branch is then unsatisfiable
% 34.23/8.88 |-Branch two:
% 34.23/8.88 | (444) ~ (all_0_100_100 = e22)
% 34.23/8.88 | (445) all_0_101_101 = e22 | all_0_102_102 = e22
% 34.23/8.88 |
% 34.23/8.88 +-Applying beta-rule and splitting (445), into two cases.
% 34.23/8.88 |-Branch one:
% 34.23/8.88 | (540) all_0_101_101 = e22
% 34.23/8.88 |
% 34.23/8.88 | Equations (540) can reduce 184 to:
% 34.23/8.88 | (132) ~ (all_0_99_99 = e22)
% 34.23/8.88 |
% 34.23/8.88 | Equations (540) can reduce 75 to:
% 34.23/8.88 | (444) ~ (all_0_100_100 = e22)
% 34.23/8.88 |
% 34.23/8.88 | Equations (540) can reduce 3 to:
% 34.23/8.88 | (805) ~ (e23 = e22)
% 34.23/8.88 |
% 34.23/8.88 | Simplifying 805 yields:
% 34.23/8.88 | (108) ~ (e23 = e22)
% 34.23/8.88 |
% 34.23/8.88 +-Applying beta-rule and splitting (116), into two cases.
% 34.23/8.88 |-Branch one:
% 34.23/8.88 | (441) all_0_100_100 = e22
% 34.23/8.88 |
% 34.23/8.88 | Equations (441) can reduce 444 to:
% 34.23/8.88 | (401) $false
% 34.23/8.88 |
% 34.23/8.88 |-The branch is then unsatisfiable
% 34.23/8.88 |-Branch two:
% 34.23/8.88 | (444) ~ (all_0_100_100 = e22)
% 34.23/8.88 | (800) all_0_104_104 = e22 | all_0_108_108 = e22
% 34.23/8.88 |
% 34.23/8.88 +-Applying beta-rule and splitting (800), into two cases.
% 34.23/8.88 |-Branch one:
% 34.23/8.88 | (532) all_0_104_104 = e22
% 34.23/8.88 |
% 34.23/8.88 | Combining equations (1360,532) yields a new equation:
% 34.23/8.88 | (796) e23 = e22
% 34.23/8.88 |
% 34.23/8.88 | Simplifying 796 yields:
% 34.23/8.88 | (442) e23 = e22
% 34.23/8.88 |
% 34.23/8.88 | Equations (442) can reduce 108 to:
% 34.23/8.88 | (401) $false
% 34.23/8.88 |
% 34.23/8.88 |-The branch is then unsatisfiable
% 34.23/8.88 |-Branch two:
% 34.23/8.88 | (471) ~ (all_0_104_104 = e22)
% 34.23/8.88 | (470) all_0_108_108 = e22
% 34.23/8.88 |
% 34.23/8.88 | Equations (470) can reduce 176 to:
% 34.23/8.88 | (444) ~ (all_0_100_100 = e22)
% 34.23/8.88 |
% 34.23/8.88 | Equations (470) can reduce 346 to:
% 34.23/8.88 | (1764) ~ (all_0_110_110 = e22)
% 34.23/8.88 |
% 34.23/8.88 | Simplifying 1764 yields:
% 34.23/8.88 | (1765) ~ (all_0_110_110 = e22)
% 34.23/8.88 |
% 34.23/8.88 | Equations (470) can reduce 410 to:
% 34.23/8.88 | (805) ~ (e23 = e22)
% 34.23/8.88 |
% 34.23/8.88 | Simplifying 805 yields:
% 34.23/8.88 | (108) ~ (e23 = e22)
% 34.23/8.88 |
% 34.23/8.88 | Equations (470) can reduce 237 to:
% 34.23/8.88 | (304) ~ (e22 = e20)
% 34.23/8.88 |
% 34.23/8.88 +-Applying beta-rule and splitting (218), into two cases.
% 34.23/8.88 |-Branch one:
% 34.23/8.88 | (544) all_0_102_102 = e22
% 34.23/8.88 |
% 34.23/8.88 | Combining equations (429,544) yields a new equation:
% 34.23/8.88 | (796) e23 = e22
% 34.23/8.88 |
% 34.23/8.88 | Simplifying 796 yields:
% 34.23/8.88 | (442) e23 = e22
% 34.23/8.88 |
% 34.23/8.88 | Equations (442) can reduce 108 to:
% 34.23/8.88 | (401) $false
% 34.23/8.88 |
% 34.23/8.88 |-The branch is then unsatisfiable
% 34.23/8.88 |-Branch two:
% 34.23/8.88 | (1091) ~ (all_0_102_102 = e22)
% 34.23/8.88 | (1092) all_0_106_106 = e22 | all_0_110_110 = e22
% 34.23/8.88 |
% 34.23/8.88 +-Applying beta-rule and splitting (311), into two cases.
% 34.23/8.88 |-Branch one:
% 34.23/8.88 | (447) all_0_99_99 = e20
% 34.23/8.88 |
% 34.23/8.88 | Equations (447) can reduce 156 to:
% 34.23/8.88 | (2674) ~ (all_0_103_103 = e20)
% 34.23/8.88 |
% 34.23/8.88 | Simplifying 2674 yields:
% 34.23/8.88 | (523) ~ (all_0_103_103 = e20)
% 34.23/8.88 |
% 34.23/8.88 | Equations (447) can reduce 132 to:
% 34.23/8.88 | (751) ~ (e22 = e20)
% 34.23/8.88 |
% 34.23/8.88 | Simplifying 751 yields:
% 34.23/8.88 | (304) ~ (e22 = e20)
% 34.23/8.88 |
% 34.23/8.88 +-Applying beta-rule and splitting (247), into two cases.
% 34.23/8.88 |-Branch one:
% 34.23/8.88 | (475) all_0_99_99 = e21
% 34.23/8.88 |
% 34.23/8.88 | Combining equations (447,475) yields a new equation:
% 34.23/8.88 | (476) e21 = e20
% 34.23/8.88 |
% 34.23/8.88 | Equations (476) can reduce 280 to:
% 34.23/8.88 | (401) $false
% 34.23/8.88 |
% 34.23/8.88 |-The branch is then unsatisfiable
% 34.23/8.88 |-Branch two:
% 34.23/8.88 | (478) ~ (all_0_99_99 = e21)
% 34.23/8.88 | (479) all_0_103_103 = e21 | all_0_107_107 = e21
% 34.23/8.88 |
% 34.23/8.88 | Equations (447) can reduce 478 to:
% 34.23/8.88 | (530) ~ (e21 = e20)
% 34.23/8.88 |
% 34.23/8.88 | Simplifying 530 yields:
% 34.23/8.88 | (280) ~ (e21 = e20)
% 34.23/8.88 |
% 34.23/8.88 +-Applying beta-rule and splitting (1092), into two cases.
% 34.23/8.88 |-Branch one:
% 34.23/8.88 | (683) all_0_106_106 = e22
% 34.23/8.88 |
% 34.23/8.88 | Equations (683) can reduce 131 to:
% 34.23/8.88 | (1764) ~ (all_0_110_110 = e22)
% 34.23/8.88 |
% 34.23/8.88 | Simplifying 1764 yields:
% 34.23/8.88 | (1765) ~ (all_0_110_110 = e22)
% 34.23/8.88 |
% 34.23/8.88 | Equations (683) can reduce 358 to:
% 34.23/8.88 | (28) ~ (e22 = e21)
% 34.23/8.88 |
% 34.23/8.88 +-Applying beta-rule and splitting (98), into two cases.
% 34.23/8.88 |-Branch one:
% 34.23/8.88 | (475) all_0_99_99 = e21
% 34.23/8.88 |
% 34.23/8.88 | Combining equations (447,475) yields a new equation:
% 34.23/8.88 | (476) e21 = e20
% 34.23/8.88 |
% 34.23/8.88 | Equations (476) can reduce 280 to:
% 34.23/8.88 | (401) $false
% 34.23/8.88 |
% 34.23/8.88 |-The branch is then unsatisfiable
% 34.23/8.88 |-Branch two:
% 34.23/8.88 | (478) ~ (all_0_99_99 = e21)
% 34.23/8.88 | (1536) all_0_100_100 = e21 | all_0_101_101 = e21
% 34.23/8.88 |
% 34.23/8.88 +-Applying beta-rule and splitting (1536), into two cases.
% 34.23/8.88 |-Branch one:
% 34.23/8.88 | (494) all_0_100_100 = e21
% 34.23/8.88 |
% 34.23/8.88 | Equations (494) can reduce 444 to:
% 34.23/8.88 | (488) ~ (e22 = e21)
% 34.23/8.88 |
% 34.23/8.88 | Simplifying 488 yields:
% 34.23/8.88 | (28) ~ (e22 = e21)
% 34.23/8.88 |
% 34.23/8.88 +-Applying beta-rule and splitting (242), into two cases.
% 34.23/8.88 |-Branch one:
% 34.23/8.88 | (519) all_0_103_103 = e20
% 34.23/8.88 |
% 34.23/8.88 | Equations (519) can reduce 523 to:
% 34.23/8.88 | (401) $false
% 34.23/8.88 |
% 34.23/8.88 |-The branch is then unsatisfiable
% 34.23/8.88 |-Branch two:
% 34.23/8.88 | (523) ~ (all_0_103_103 = e20)
% 34.23/8.88 | (524) all_0_105_105 = e20 | all_0_106_106 = e20
% 34.23/8.88 |
% 34.23/8.88 +-Applying beta-rule and splitting (518), into two cases.
% 34.23/8.88 |-Branch one:
% 34.23/8.88 | (529) all_0_106_106 = e20
% 34.23/8.88 |
% 34.23/8.88 | Combining equations (529,683) yields a new equation:
% 34.23/8.88 | (645) e22 = e20
% 34.23/8.88 |
% 34.23/8.88 | Equations (645) can reduce 304 to:
% 34.23/8.88 | (401) $false
% 34.23/8.88 |
% 34.23/8.88 |-The branch is then unsatisfiable
% 34.23/8.88 |-Branch two:
% 34.23/8.88 | (686) ~ (all_0_106_106 = e20)
% 34.23/8.88 | (687) all_0_110_110 = e20
% 34.23/8.88 |
% 34.23/8.88 | Equations (687) can reduce 1765 to:
% 34.23/8.88 | (751) ~ (e22 = e20)
% 34.23/8.88 |
% 34.23/8.88 | Simplifying 751 yields:
% 34.23/8.88 | (304) ~ (e22 = e20)
% 34.23/8.88 |
% 34.23/8.88 | Equations (687) can reduce 58 to:
% 34.23/8.88 | (530) ~ (e21 = e20)
% 34.23/8.88 |
% 34.23/8.88 | Simplifying 530 yields:
% 34.23/8.88 | (280) ~ (e21 = e20)
% 34.23/8.88 |
% 34.23/8.88 +-Applying beta-rule and splitting (361), into two cases.
% 34.23/8.88 |-Branch one:
% 34.23/8.88 | (821) all_0_101_101 = e20
% 34.23/8.88 |
% 34.23/8.88 | Combining equations (540,821) yields a new equation:
% 34.23/8.88 | (644) e22 = e20
% 34.23/8.88 |
% 34.23/8.88 | Simplifying 644 yields:
% 34.23/8.88 | (645) e22 = e20
% 34.23/8.88 |
% 34.23/8.88 | Equations (645) can reduce 304 to:
% 34.23/8.88 | (401) $false
% 34.23/8.88 |
% 34.23/8.88 |-The branch is then unsatisfiable
% 34.23/8.88 |-Branch two:
% 34.23/8.88 | (1086) ~ (all_0_101_101 = e20)
% 34.23/8.88 | (1129) all_0_105_105 = e20 | all_0_109_109 = e20
% 34.23/8.88 |
% 34.23/8.88 | Equations (540) can reduce 1086 to:
% 34.23/8.88 | (304) ~ (e22 = e20)
% 34.23/8.88 |
% 34.23/8.88 +-Applying beta-rule and splitting (524), into two cases.
% 34.23/8.88 |-Branch one:
% 34.23/8.88 | (986) all_0_105_105 = e20
% 34.23/8.88 |
% 34.23/8.88 | Equations (986) can reduce 245 to:
% 34.23/8.88 | (822) ~ (all_0_109_109 = e20)
% 34.23/8.88 |
% 34.23/8.88 | Simplifying 822 yields:
% 34.23/8.88 | (715) ~ (all_0_109_109 = e20)
% 34.23/8.88 |
% 34.23/8.88 +-Applying beta-rule and splitting (137), into two cases.
% 34.23/8.88 |-Branch one:
% 34.23/8.88 | (526) all_0_101_101 = e21
% 34.23/8.88 |
% 34.23/8.88 | Combining equations (540,526) yields a new equation:
% 34.23/8.88 | (677) e22 = e21
% 34.23/8.88 |
% 34.23/8.88 | Simplifying 677 yields:
% 34.23/8.88 | (533) e22 = e21
% 34.23/8.88 |
% 34.23/8.88 | Equations (533) can reduce 28 to:
% 34.23/8.88 | (401) $false
% 34.23/8.88 |
% 34.23/8.88 |-The branch is then unsatisfiable
% 34.23/8.88 |-Branch two:
% 34.23/8.88 | (690) ~ (all_0_101_101 = e21)
% 34.23/8.88 | (691) all_0_105_105 = e21 | all_0_109_109 = e21
% 34.23/8.88 |
% 34.23/8.88 +-Applying beta-rule and splitting (691), into two cases.
% 34.23/8.88 |-Branch one:
% 34.23/8.88 | (692) all_0_105_105 = e21
% 34.23/8.88 |
% 34.23/8.88 | Combining equations (986,692) yields a new equation:
% 34.23/8.88 | (476) e21 = e20
% 34.23/8.88 |
% 34.23/8.88 | Equations (476) can reduce 280 to:
% 34.23/8.88 | (401) $false
% 34.23/8.88 |
% 34.23/8.88 |-The branch is then unsatisfiable
% 34.23/8.88 |-Branch two:
% 34.23/8.88 | (501) ~ (all_0_105_105 = e21)
% 34.23/8.88 | (695) all_0_109_109 = e21
% 34.23/8.88 |
% 34.23/8.88 | Equations (695) can reduce 314 to:
% 34.23/8.88 | (486) ~ (e23 = e21)
% 34.23/8.88 |
% 34.23/8.88 | Simplifying 486 yields:
% 34.23/8.88 | (279) ~ (e23 = e21)
% 34.23/8.88 |
% 34.23/8.88 | Equations (695) can reduce 715 to:
% 34.23/8.88 | (280) ~ (e21 = e20)
% 34.23/8.88 |
% 34.23/8.88 +-Applying beta-rule and splitting (50), into two cases.
% 34.23/8.88 |-Branch one:
% 34.23/8.88 | (480) all_0_103_103 = e21
% 34.23/8.88 |
% 34.23/8.88 +-Applying beta-rule and splitting (324), into two cases.
% 34.23/8.88 |-Branch one:
% 34.23/8.88 | (3139) all_0_116_116 = e13
% 34.23/8.88 |
% 34.23/8.88 | Equations (3139) can reduce 187 to:
% 34.23/8.89 | (3140) ~ (all_0_112_112 = e13)
% 34.23/8.89 |
% 34.23/8.89 | Equations (3139) can reduce 267 to:
% 34.23/8.89 | (3141) ~ (all_0_115_115 = e13)
% 34.23/8.89 |
% 34.23/8.89 | Equations (3139) can reduce 95 to:
% 34.23/8.89 | (3142) ~ (all_0_117_117 = e13)
% 34.23/8.89 |
% 34.23/8.89 | Simplifying 3142 yields:
% 34.23/8.89 | (29) ~ (all_0_117_117 = e13)
% 34.23/8.89 |
% 34.23/8.89 | Equations (3139) can reduce 294 to:
% 34.23/8.89 | (3144) ~ (all_0_120_120 = e13)
% 34.23/8.89 |
% 34.23/8.89 | Simplifying 3144 yields:
% 34.23/8.89 | (3145) ~ (all_0_120_120 = e13)
% 34.23/8.89 |
% 34.23/8.89 | Equations (3139) can reduce 210 to:
% 34.23/8.89 | (134) ~ (e13 = e10)
% 34.23/8.89 |
% 34.23/8.89 | From (3139) and (226) follows:
% 34.23/8.89 | (3147) op1(e12, e12) = e13
% 34.23/8.89 |
% 34.23/8.89 | From (3139) and (122) follows:
% 34.23/8.89 | (3148) h2(e13) = all_0_59_59
% 34.23/8.89 |
% 34.23/8.89 | Instantiating formula (140) with e13, all_0_59_59, e23 and discharging atoms h2(e13) = all_0_59_59, h2(e13) = e23, yields:
% 34.23/8.89 | (3149) all_0_59_59 = e23
% 34.23/8.89 |
% 34.23/8.89 | From (3149) and (3148) follows:
% 34.23/8.89 | (289) h2(e13) = e23
% 34.23/8.89 |
% 34.23/8.89 +-Applying beta-rule and splitting (253), into two cases.
% 34.23/8.89 |-Branch one:
% 34.23/8.89 | (3151) all_0_115_115 = e13
% 34.23/8.89 |
% 34.23/8.89 | Equations (3151) can reduce 3141 to:
% 34.23/8.89 | (401) $false
% 34.23/8.89 |
% 34.23/8.89 |-The branch is then unsatisfiable
% 34.23/8.89 |-Branch two:
% 34.23/8.89 | (3141) ~ (all_0_115_115 = e13)
% 34.23/8.89 | (3154) all_0_115_115 = e11 | all_0_115_115 = e10
% 34.23/8.89 |
% 34.23/8.89 +-Applying beta-rule and splitting (7), into two cases.
% 34.23/8.89 |-Branch one:
% 34.23/8.89 | (3155) all_0_119_119 = e13
% 34.23/8.89 |
% 34.23/8.89 | Equations (3155) can reduce 14 to:
% 34.23/8.89 | (3156) ~ (all_0_111_111 = e13)
% 34.23/8.89 |
% 34.23/8.89 | Equations (3155) can reduce 215 to:
% 34.23/8.89 | (3141) ~ (all_0_115_115 = e13)
% 34.23/8.89 |
% 34.23/8.89 | Equations (3155) can reduce 258 to:
% 34.23/8.89 | (3144) ~ (all_0_120_120 = e13)
% 34.23/8.89 |
% 34.23/8.89 | Simplifying 3144 yields:
% 34.23/8.89 | (3145) ~ (all_0_120_120 = e13)
% 34.23/8.89 |
% 34.23/8.89 | Equations (3155) can reduce 60 to:
% 34.23/8.89 | (76) ~ (e13 = e12)
% 34.23/8.89 |
% 34.23/8.89 | From (3155) and (278) follows:
% 34.23/8.89 | (3161) h2(e13) = all_0_62_62
% 34.23/8.89 |
% 34.23/8.89 +-Applying beta-rule and splitting (155), into two cases.
% 34.23/8.89 |-Branch one:
% 34.23/8.89 | (3162) all_0_111_111 = e13
% 34.23/8.89 |
% 34.23/8.89 | Equations (3162) can reduce 3156 to:
% 34.23/8.89 | (401) $false
% 34.23/8.89 |
% 34.23/8.89 |-The branch is then unsatisfiable
% 34.23/8.89 |-Branch two:
% 34.23/8.89 | (3156) ~ (all_0_111_111 = e13)
% 34.23/8.89 | (3165) all_0_112_112 = e13 | all_0_114_114 = e13
% 34.23/8.89 |
% 34.23/8.89 +-Applying beta-rule and splitting (3165), into two cases.
% 34.23/8.89 |-Branch one:
% 34.23/8.89 | (3166) all_0_112_112 = e13
% 34.23/8.89 |
% 34.23/8.89 | Equations (3166) can reduce 3140 to:
% 34.23/8.89 | (401) $false
% 34.23/8.89 |
% 34.23/8.89 |-The branch is then unsatisfiable
% 34.23/8.89 |-Branch two:
% 34.23/8.89 | (3140) ~ (all_0_112_112 = e13)
% 34.23/8.89 | (3169) all_0_114_114 = e13
% 34.23/8.89 |
% 34.23/8.89 | Equations (3169) can reduce 273 to:
% 34.23/8.89 | (3156) ~ (all_0_111_111 = e13)
% 34.23/8.89 |
% 34.23/8.89 | Equations (3169) can reduce 356 to:
% 34.23/8.89 | (3140) ~ (all_0_112_112 = e13)
% 34.23/8.89 |
% 34.23/8.89 | Equations (3169) can reduce 25 to:
% 34.23/8.89 | (177) ~ (all_0_113_113 = e13)
% 34.23/8.89 |
% 34.23/8.89 | Equations (3169) can reduce 249 to:
% 34.23/8.89 | (3173) ~ (all_0_118_118 = e13)
% 34.23/8.89 |
% 34.23/8.89 | Simplifying 3173 yields:
% 34.23/8.89 | (3174) ~ (all_0_118_118 = e13)
% 34.23/8.89 |
% 34.23/8.89 | Equations (3169) can reduce 10 to:
% 34.23/8.89 | (3175) ~ (all_0_122_122 = e13)
% 34.23/8.89 |
% 34.23/8.89 | Simplifying 3175 yields:
% 34.23/8.89 | (3176) ~ (all_0_122_122 = e13)
% 34.23/8.89 |
% 34.23/8.89 | Equations (3169) can reduce 55 to:
% 34.23/8.89 | (34) ~ (e13 = e11)
% 34.23/8.89 |
% 34.23/8.89 | From (3169) and (257) follows:
% 34.23/8.89 | (3178) h2(e13) = all_0_57_57
% 34.23/8.89 |
% 34.23/8.89 | Instantiating formula (140) with e13, all_0_57_57, e23 and discharging atoms h2(e13) = all_0_57_57, h2(e13) = e23, yields:
% 34.23/8.89 | (3179) all_0_57_57 = e23
% 34.23/8.89 |
% 34.23/8.89 | Instantiating formula (140) with e13, all_0_62_62, all_0_57_57 and discharging atoms h2(e13) = all_0_57_57, h2(e13) = all_0_62_62, yields:
% 34.23/8.89 | (3180) all_0_57_57 = all_0_62_62
% 34.23/8.89 |
% 34.23/8.89 | Combining equations (3179,3180) yields a new equation:
% 34.23/8.89 | (3181) all_0_62_62 = e23
% 34.23/8.89 |
% 34.23/8.89 | Combining equations (3181,3180) yields a new equation:
% 34.23/8.89 | (3179) all_0_57_57 = e23
% 34.23/8.89 |
% 34.23/8.89 +-Applying beta-rule and splitting (284), into two cases.
% 34.23/8.89 |-Branch one:
% 34.23/8.89 | (3183) all_0_120_120 = e13
% 34.23/8.89 |
% 34.23/8.89 | Equations (3183) can reduce 3145 to:
% 34.23/8.89 | (401) $false
% 34.23/8.89 |
% 34.23/8.89 |-The branch is then unsatisfiable
% 34.23/8.89 |-Branch two:
% 34.23/8.89 | (3145) ~ (all_0_120_120 = e13)
% 34.23/8.89 | (3186) all_0_120_120 = e12 | all_0_120_120 = e11
% 34.23/8.89 |
% 34.23/8.89 +-Applying beta-rule and splitting (153), into two cases.
% 34.23/8.89 |-Branch one:
% 34.23/8.89 | (3162) all_0_111_111 = e13
% 34.23/8.89 |
% 34.23/8.89 | Equations (3162) can reduce 3156 to:
% 34.23/8.89 | (401) $false
% 34.23/8.89 |
% 34.23/8.89 |-The branch is then unsatisfiable
% 34.23/8.89 |-Branch two:
% 34.23/8.89 | (3156) ~ (all_0_111_111 = e13)
% 34.23/8.89 | (3190) all_0_111_111 = e11 | all_0_111_111 = e10
% 34.23/8.89 |
% 34.23/8.89 +-Applying beta-rule and splitting (56), into two cases.
% 34.23/8.89 |-Branch one:
% 34.23/8.89 | (3166) all_0_112_112 = e13
% 34.23/8.89 |
% 34.23/8.89 | Equations (3166) can reduce 3140 to:
% 34.23/8.89 | (401) $false
% 34.23/8.89 |
% 34.23/8.89 |-The branch is then unsatisfiable
% 34.23/8.89 |-Branch two:
% 34.23/8.89 | (3140) ~ (all_0_112_112 = e13)
% 34.23/8.89 | (3194) all_0_112_112 = e12 | all_0_112_112 = e11
% 34.23/8.89 |
% 34.23/8.89 +-Applying beta-rule and splitting (288), into two cases.
% 34.23/8.89 |-Branch one:
% 34.23/8.89 | (3195) all_0_122_122 = e13
% 34.23/8.89 |
% 34.23/8.89 | Equations (3195) can reduce 3176 to:
% 34.23/8.89 | (401) $false
% 34.23/8.89 |
% 34.23/8.89 |-The branch is then unsatisfiable
% 34.23/8.89 |-Branch two:
% 34.23/8.89 | (3176) ~ (all_0_122_122 = e13)
% 34.23/8.89 | (3198) all_0_122_122 = e12 | all_0_122_122 = e10
% 34.23/8.89 |
% 34.23/8.89 +-Applying beta-rule and splitting (185), into two cases.
% 34.23/8.89 |-Branch one:
% 34.23/8.89 | (3199) all_0_111_111 = e11
% 34.23/8.89 |
% 34.23/8.89 | Equations (3199) can reduce 9 to:
% 34.23/8.89 | (3200) ~ (all_0_112_112 = e11)
% 34.23/8.89 |
% 34.23/8.89 | Simplifying 3200 yields:
% 34.23/8.89 | (3201) ~ (all_0_112_112 = e11)
% 34.23/8.89 |
% 34.23/8.89 | Equations (3199) can reduce 3156 to:
% 34.23/8.89 | (3202) ~ (e13 = e11)
% 34.23/8.89 |
% 34.23/8.89 | Simplifying 3202 yields:
% 34.23/8.89 | (34) ~ (e13 = e11)
% 34.23/8.89 |
% 34.23/8.89 +-Applying beta-rule and splitting (194), into two cases.
% 34.23/8.89 |-Branch one:
% 34.23/8.89 | (3204) all_0_111_111 = e10
% 34.23/8.89 |
% 34.23/8.89 | Combining equations (3199,3204) yields a new equation:
% 34.23/8.89 | (3205) e11 = e10
% 34.23/8.89 |
% 34.23/8.90 | Simplifying 3205 yields:
% 34.23/8.90 | (3206) e11 = e10
% 34.23/8.90 |
% 34.23/8.90 | Equations (3206) can reduce 138 to:
% 34.23/8.90 | (401) $false
% 34.23/8.90 |
% 34.23/8.90 |-The branch is then unsatisfiable
% 34.23/8.90 |-Branch two:
% 34.23/8.90 | (3208) ~ (all_0_111_111 = e10)
% 34.23/8.90 | (3209) all_0_113_113 = e10 | all_0_114_114 = e10
% 34.23/8.90 |
% 34.23/8.90 +-Applying beta-rule and splitting (3209), into two cases.
% 34.23/8.90 |-Branch one:
% 34.23/8.90 | (3210) all_0_113_113 = e10
% 34.23/8.90 |
% 34.23/8.90 | Equations (3210) can reduce 252 to:
% 34.23/8.90 | (3211) ~ (all_0_117_117 = e10)
% 34.23/8.90 |
% 34.23/8.90 | Simplifying 3211 yields:
% 34.23/8.90 | (3212) ~ (all_0_117_117 = e10)
% 34.23/8.90 |
% 34.23/8.90 | From (3210) and (148) follows:
% 34.23/8.90 | (3213) op1(e13, e11) = e10
% 34.23/8.90 |
% 34.23/8.90 +-Applying beta-rule and splitting (270), into two cases.
% 34.23/8.90 |-Branch one:
% 34.23/8.90 | (3214) all_0_112_112 = e12
% 34.23/8.90 |
% 34.23/8.90 | Equations (3214) can reduce 94 to:
% 34.23/8.90 | (3215) ~ (all_0_120_120 = e12)
% 34.23/8.90 |
% 34.23/8.90 | Simplifying 3215 yields:
% 34.23/8.90 | (3216) ~ (all_0_120_120 = e12)
% 34.23/8.90 |
% 34.23/8.90 | Equations (3214) can reduce 3140 to:
% 34.23/8.90 | (3217) ~ (e13 = e12)
% 34.23/8.90 |
% 34.23/8.90 | Simplifying 3217 yields:
% 34.23/8.90 | (76) ~ (e13 = e12)
% 34.23/8.90 |
% 34.23/8.90 | Equations (3214) can reduce 3201 to:
% 34.23/8.90 | (208) ~ (e12 = e11)
% 34.23/8.90 |
% 34.23/8.90 +-Applying beta-rule and splitting (282), into two cases.
% 34.23/8.90 |-Branch one:
% 34.23/8.90 | (3220) all_0_112_112 = e11
% 34.23/8.90 |
% 34.23/8.90 | Combining equations (3214,3220) yields a new equation:
% 34.23/8.90 | (3221) e12 = e11
% 34.23/8.90 |
% 34.23/8.90 | Simplifying 3221 yields:
% 34.23/8.90 | (3222) e12 = e11
% 34.23/8.90 |
% 34.23/8.90 | Equations (3222) can reduce 208 to:
% 34.23/8.90 | (401) $false
% 34.23/8.90 |
% 34.23/8.90 |-The branch is then unsatisfiable
% 34.23/8.90 |-Branch two:
% 34.23/8.90 | (3201) ~ (all_0_112_112 = e11)
% 34.23/8.90 | (3225) all_0_116_116 = e11 | all_0_120_120 = e11
% 34.23/8.90 |
% 34.23/8.90 +-Applying beta-rule and splitting (3225), into two cases.
% 34.23/8.90 |-Branch one:
% 34.23/8.90 | (3226) all_0_116_116 = e11
% 34.23/8.90 |
% 34.23/8.90 | Combining equations (3139,3226) yields a new equation:
% 34.23/8.90 | (3227) e13 = e11
% 34.23/8.90 |
% 34.23/8.90 | Simplifying 3227 yields:
% 34.23/8.90 | (3228) e13 = e11
% 34.23/8.90 |
% 34.23/8.90 | Equations (3228) can reduce 34 to:
% 34.23/8.90 | (401) $false
% 34.23/8.90 |
% 34.23/8.90 |-The branch is then unsatisfiable
% 34.23/8.90 |-Branch two:
% 34.23/8.90 | (3230) ~ (all_0_116_116 = e11)
% 34.23/8.90 | (3231) all_0_120_120 = e11
% 34.23/8.90 |
% 34.23/8.90 | Equations (3231) can reduce 333 to:
% 34.23/8.90 | (3232) ~ (all_0_121_121 = e11)
% 34.23/8.90 |
% 34.23/8.90 | Simplifying 3232 yields:
% 34.23/8.90 | (3233) ~ (all_0_121_121 = e11)
% 34.23/8.90 |
% 34.23/8.90 | Equations (3231) can reduce 262 to:
% 34.23/8.90 | (3234) ~ (all_0_122_122 = e11)
% 34.23/8.90 |
% 34.23/8.90 | Simplifying 3234 yields:
% 34.23/8.90 | (147) ~ (all_0_122_122 = e11)
% 34.23/8.90 |
% 34.23/8.90 | Equations (3231) can reduce 3216 to:
% 34.23/8.90 | (3236) ~ (e12 = e11)
% 34.23/8.90 |
% 34.23/8.90 | Simplifying 3236 yields:
% 34.23/8.90 | (208) ~ (e12 = e11)
% 34.23/8.90 |
% 34.23/8.90 | Equations (3231) can reduce 235 to:
% 34.23/8.90 | (138) ~ (e11 = e10)
% 34.23/8.90 |
% 34.23/8.90 | From (3231) and (70) follows:
% 34.23/8.90 | (3239) op1(e10, e12) = e11
% 34.23/8.90 |
% 34.23/8.90 +-Applying beta-rule and splitting (133), into two cases.
% 34.23/8.90 |-Branch one:
% 34.23/8.90 | (3240) all_0_113_113 = e11
% 34.23/8.90 |
% 34.23/8.90 | Combining equations (3240,3210) yields a new equation:
% 34.23/8.90 | (3205) e11 = e10
% 34.23/8.90 |
% 34.23/8.90 | Simplifying 3205 yields:
% 34.23/8.90 | (3206) e11 = e10
% 34.23/8.90 |
% 34.23/8.90 | Equations (3206) can reduce 138 to:
% 34.23/8.90 | (401) $false
% 34.23/8.90 |
% 34.23/8.90 |-The branch is then unsatisfiable
% 34.23/8.90 |-Branch two:
% 34.23/8.90 | (3244) ~ (all_0_113_113 = e11)
% 34.23/8.90 | (3245) all_0_117_117 = e11 | all_0_121_121 = e11
% 34.23/8.90 |
% 34.23/8.90 +-Applying beta-rule and splitting (3245), into two cases.
% 34.23/8.90 |-Branch one:
% 34.23/8.90 | (3246) all_0_117_117 = e11
% 34.23/8.90 |
% 34.23/8.90 | Equations (3246) can reduce 192 to:
% 34.23/8.90 | (3247) ~ (all_0_118_118 = e11)
% 34.23/8.90 |
% 34.23/8.90 | Simplifying 3247 yields:
% 34.23/8.90 | (164) ~ (all_0_118_118 = e11)
% 34.23/8.90 |
% 34.23/8.90 | Equations (3246) can reduce 126 to:
% 34.23/8.90 | (3232) ~ (all_0_121_121 = e11)
% 34.23/8.90 |
% 34.23/8.90 | Simplifying 3232 yields:
% 34.23/8.90 | (3233) ~ (all_0_121_121 = e11)
% 34.23/8.90 |
% 34.23/8.90 | Equations (3246) can reduce 3212 to:
% 34.23/8.90 | (138) ~ (e11 = e10)
% 34.23/8.90 |
% 34.23/8.90 | From (3246) and (345) follows:
% 34.23/8.90 | (3252) op1(e12, e11) = e11
% 34.23/8.90 |
% 34.23/8.90 +-Applying beta-rule and splitting (41), into two cases.
% 34.23/8.90 |-Branch one:
% 34.23/8.90 | (3253) all_0_116_116 = e12
% 34.23/8.90 |
% 34.23/8.90 | Combining equations (3253,3139) yields a new equation:
% 34.23/8.90 | (3254) e13 = e12
% 34.23/8.90 |
% 34.23/8.90 | Equations (3254) can reduce 76 to:
% 34.23/8.90 | (401) $false
% 34.23/8.90 |
% 34.23/8.90 |-The branch is then unsatisfiable
% 34.23/8.90 |-Branch two:
% 34.23/8.90 | (3256) ~ (all_0_116_116 = e12)
% 34.23/8.90 | (3257) all_0_117_117 = e12 | all_0_118_118 = e12
% 34.23/8.90 |
% 34.23/8.90 +-Applying beta-rule and splitting (3257), into two cases.
% 34.23/8.90 |-Branch one:
% 34.23/8.90 | (3258) all_0_117_117 = e12
% 34.23/8.90 |
% 34.23/8.90 | Combining equations (3258,3246) yields a new equation:
% 34.23/8.90 | (3221) e12 = e11
% 34.23/8.90 |
% 34.23/8.90 | Simplifying 3221 yields:
% 34.23/8.90 | (3222) e12 = e11
% 34.23/8.90 |
% 34.23/8.90 | Equations (3222) can reduce 208 to:
% 34.23/8.90 | (401) $false
% 34.23/8.90 |
% 34.23/8.90 |-The branch is then unsatisfiable
% 34.23/8.90 |-Branch two:
% 34.23/8.90 | (3262) ~ (all_0_117_117 = e12)
% 34.23/8.90 | (3263) all_0_118_118 = e12
% 34.23/8.90 |
% 34.23/8.90 | Equations (3263) can reduce 286 to:
% 34.23/8.90 | (3264) ~ (all_0_122_122 = e12)
% 34.23/8.90 |
% 34.23/8.90 | Simplifying 3264 yields:
% 34.23/8.90 | (3265) ~ (all_0_122_122 = e12)
% 34.23/8.90 |
% 34.23/8.90 | Equations (3263) can reduce 164 to:
% 34.23/8.90 | (208) ~ (e12 = e11)
% 34.23/8.90 |
% 34.23/8.90 +-Applying beta-rule and splitting (51), into two cases.
% 34.23/8.90 |-Branch one:
% 34.23/8.90 | (3267) all_0_121_121 = e12
% 34.23/8.90 |
% 34.23/8.90 | Equations (3267) can reduce 297 to:
% 34.23/8.90 | (3264) ~ (all_0_122_122 = e12)
% 34.23/8.90 |
% 34.23/8.90 | Simplifying 3264 yields:
% 34.23/8.90 | (3265) ~ (all_0_122_122 = e12)
% 34.23/8.90 |
% 34.23/8.90 | Equations (3267) can reduce 3233 to:
% 34.23/8.90 | (208) ~ (e12 = e11)
% 34.23/8.90 |
% 34.23/8.90 | From (3267) and (21) follows:
% 34.23/8.91 | (3271) op1(e10, e11) = e12
% 34.23/8.91 |
% 34.23/8.91 +-Applying beta-rule and splitting (233), into two cases.
% 34.23/8.91 |-Branch one:
% 34.23/8.91 | (3204) all_0_111_111 = e10
% 34.23/8.91 |
% 34.23/8.91 | Combining equations (3204,3199) yields a new equation:
% 34.23/8.91 | (3206) e11 = e10
% 34.23/8.91 |
% 34.23/8.91 | Equations (3206) can reduce 138 to:
% 34.23/8.91 | (401) $false
% 34.23/8.91 |
% 34.23/8.91 |-The branch is then unsatisfiable
% 34.23/8.91 |-Branch two:
% 34.23/8.91 | (3208) ~ (all_0_111_111 = e10)
% 34.23/8.91 | (3276) all_0_115_115 = e10 | all_0_119_119 = e10
% 34.23/8.91 |
% 34.23/8.91 +-Applying beta-rule and splitting (57), into two cases.
% 34.23/8.91 |-Branch one:
% 34.23/8.91 | (3277) all_0_115_115 = e10
% 34.23/8.91 |
% 34.23/8.91 | From (3277) and (301) follows:
% 34.23/8.91 | (3278) op1(e12, e13) = e10
% 34.23/8.91 |
% 34.23/8.91 +-Applying beta-rule and splitting (3198), into two cases.
% 34.23/8.91 |-Branch one:
% 34.23/8.91 | (3279) all_0_122_122 = e12
% 34.23/8.91 |
% 34.23/8.91 | Equations (3279) can reduce 3265 to:
% 34.23/8.91 | (401) $false
% 34.23/8.91 |
% 34.23/8.91 |-The branch is then unsatisfiable
% 34.23/8.91 |-Branch two:
% 34.23/8.91 | (3265) ~ (all_0_122_122 = e12)
% 34.23/8.91 | (3282) all_0_122_122 = e10
% 34.23/8.91 |
% 34.23/8.91 | Equations (3282) can reduce 147 to:
% 34.23/8.91 | (3283) ~ (e11 = e10)
% 34.23/8.91 |
% 34.23/8.91 | Simplifying 3283 yields:
% 34.23/8.91 | (138) ~ (e11 = e10)
% 34.23/8.91 |
% 34.23/8.91 +-Applying beta-rule and splitting (272), into two cases.
% 34.23/8.91 |-Branch one:
% 34.23/8.91 | (3285) unit1 = e13
% 34.23/8.91 |
% 34.23/8.91 | From (3285) and (136) follows:
% 34.23/8.91 | (3286) op1(e12, e13) = e12
% 34.23/8.91 |
% 34.23/8.91 | From (3285) and (246) follows:
% 34.23/8.91 | (3287) op1(e11, e13) = e11
% 34.23/8.91 |
% 34.23/8.91 | Instantiating formula (291) with e12, e13, e12, e10 and discharging atoms op1(e12, e13) = e12, op1(e12, e13) = e10, yields:
% 34.23/8.91 | (3288) e12 = e10
% 34.23/8.91 |
% 34.23/8.91 | Instantiating formula (291) with e11, e13, e11, e12 and discharging atoms op1(e11, e13) = e12, op1(e11, e13) = e11, yields:
% 34.23/8.91 | (3222) e12 = e11
% 34.23/8.91 |
% 34.23/8.91 | Combining equations (3288,3222) yields a new equation:
% 34.23/8.91 | (3206) e11 = e10
% 34.23/8.91 |
% 34.23/8.91 | Equations (3206) can reduce 138 to:
% 34.23/8.91 | (401) $false
% 34.23/8.91 |
% 34.23/8.91 |-The branch is then unsatisfiable
% 34.23/8.91 |-Branch two:
% 34.23/8.91 | (3292) ~ (unit1 = e13)
% 34.23/8.91 | (3293) unit1 = e12 | unit1 = e11 | unit1 = e10
% 34.23/8.91 |
% 34.23/8.91 +-Applying beta-rule and splitting (3293), into two cases.
% 34.23/8.91 |-Branch one:
% 34.23/8.91 | (3294) unit1 = e12
% 34.23/8.91 |
% 34.23/8.91 | From (3294) and (207) follows:
% 34.23/8.91 | (3295) op1(e10, e12) = e10
% 34.23/8.91 |
% 34.23/8.91 | Instantiating formula (291) with e10, e12, e10, e11 and discharging atoms op1(e10, e12) = e11, op1(e10, e12) = e10, yields:
% 34.23/8.91 | (3206) e11 = e10
% 34.23/8.91 |
% 34.23/8.91 | Equations (3206) can reduce 138 to:
% 34.23/8.91 | (401) $false
% 34.23/8.91 |
% 34.23/8.91 |-The branch is then unsatisfiable
% 34.23/8.91 |-Branch two:
% 34.23/8.91 | (3298) ~ (unit1 = e12)
% 34.23/8.91 | (3299) unit1 = e11 | unit1 = e10
% 34.23/8.91 |
% 34.23/8.91 +-Applying beta-rule and splitting (3299), into two cases.
% 34.23/8.91 |-Branch one:
% 34.23/8.91 | (3300) unit1 = e11
% 34.23/8.91 |
% 34.23/8.91 | From (3300) and (205) follows:
% 34.23/8.91 | (3301) op1(e11, e13) = e13
% 34.23/8.91 |
% 34.23/8.91 | From (3300) and (206) follows:
% 34.23/8.91 | (3302) op1(e13, e11) = e13
% 34.23/8.91 |
% 34.23/8.91 | From (3300) and (136) follows:
% 34.23/8.91 | (3303) op1(e12, e11) = e12
% 34.23/8.91 |
% 34.23/8.91 | Instantiating formula (291) with e13, e11, e13, e10 and discharging atoms op1(e13, e11) = e13, op1(e13, e11) = e10, yields:
% 34.23/8.91 | (3304) e13 = e10
% 34.23/8.91 |
% 34.23/8.91 | Instantiating formula (291) with e12, e11, e12, e11 and discharging atoms op1(e12, e11) = e12, op1(e12, e11) = e11, yields:
% 34.23/8.91 | (3222) e12 = e11
% 34.23/8.91 |
% 34.23/8.91 | Instantiating formula (291) with e11, e13, e13, e12 and discharging atoms op1(e11, e13) = e13, op1(e11, e13) = e12, yields:
% 34.23/8.91 | (3254) e13 = e12
% 34.23/8.91 |
% 34.23/8.91 | Combining equations (3254,3304) yields a new equation:
% 34.23/8.91 | (3307) e12 = e10
% 34.23/8.91 |
% 34.23/8.91 | Simplifying 3307 yields:
% 34.23/8.91 | (3288) e12 = e10
% 34.23/8.91 |
% 34.23/8.91 | Combining equations (3222,3288) yields a new equation:
% 34.23/8.91 | (3205) e11 = e10
% 34.23/8.91 |
% 34.23/8.91 | Simplifying 3205 yields:
% 34.23/8.91 | (3206) e11 = e10
% 34.23/8.91 |
% 34.23/8.91 | Equations (3206) can reduce 138 to:
% 34.23/8.91 | (401) $false
% 34.23/8.91 |
% 34.23/8.91 |-The branch is then unsatisfiable
% 34.23/8.91 |-Branch two:
% 34.23/8.91 | (3312) ~ (unit1 = e11)
% 34.23/8.91 | (3313) unit1 = e10
% 34.23/8.91 |
% 34.23/8.91 | From (3313) and (92) follows:
% 34.23/8.91 | (3314) op1(e10, e11) = e11
% 34.23/8.91 |
% 34.23/8.91 | Instantiating formula (291) with e10, e11, e11, e12 and discharging atoms op1(e10, e11) = e12, op1(e10, e11) = e11, yields:
% 34.23/8.91 | (3222) e12 = e11
% 34.23/8.91 |
% 34.23/8.91 | Equations (3222) can reduce 208 to:
% 34.23/8.91 | (401) $false
% 34.23/8.91 |
% 34.23/8.91 |-The branch is then unsatisfiable
% 34.23/8.91 |-Branch two:
% 34.23/8.91 | (3317) ~ (all_0_115_115 = e10)
% 34.23/8.91 | (3318) all_0_117_117 = e10 | all_0_118_118 = e10
% 34.23/8.91 |
% 34.23/8.91 +-Applying beta-rule and splitting (3198), into two cases.
% 34.23/8.91 |-Branch one:
% 34.23/8.91 | (3279) all_0_122_122 = e12
% 34.23/8.91 |
% 34.23/8.91 | Equations (3279) can reduce 3265 to:
% 34.23/8.91 | (401) $false
% 34.23/8.91 |
% 34.23/8.91 |-The branch is then unsatisfiable
% 34.23/8.91 |-Branch two:
% 34.23/8.91 | (3265) ~ (all_0_122_122 = e12)
% 34.23/8.91 | (3282) all_0_122_122 = e10
% 34.23/8.91 |
% 34.23/8.91 | Equations (3282) can reduce 3176 to:
% 34.23/8.91 | (3323) ~ (e13 = e10)
% 34.23/8.91 |
% 34.23/8.91 | Simplifying 3323 yields:
% 34.23/8.91 | (134) ~ (e13 = e10)
% 34.23/8.91 |
% 34.23/8.91 +-Applying beta-rule and splitting (3276), into two cases.
% 34.23/8.91 |-Branch one:
% 34.23/8.91 | (3277) all_0_115_115 = e10
% 34.23/8.91 |
% 34.23/8.91 | Equations (3277) can reduce 3317 to:
% 34.23/8.91 | (401) $false
% 34.23/8.91 |
% 34.23/8.91 |-The branch is then unsatisfiable
% 34.23/8.91 |-Branch two:
% 34.23/8.91 | (3317) ~ (all_0_115_115 = e10)
% 34.23/8.91 | (3328) all_0_119_119 = e10
% 34.23/8.91 |
% 34.23/8.91 | Combining equations (3155,3328) yields a new equation:
% 34.23/8.91 | (3329) e13 = e10
% 34.23/8.91 |
% 34.23/8.91 | Simplifying 3329 yields:
% 34.23/8.91 | (3304) e13 = e10
% 34.23/8.91 |
% 34.23/8.91 | Equations (3304) can reduce 134 to:
% 34.23/8.91 | (401) $false
% 34.23/8.91 |
% 34.23/8.91 |-The branch is then unsatisfiable
% 34.23/8.92 |-Branch two:
% 34.23/8.92 | (3332) ~ (all_0_121_121 = e12)
% 34.23/8.92 | (3333) all_0_121_121 = e11 | all_0_121_121 = e10
% 34.23/8.92 |
% 34.23/8.92 +-Applying beta-rule and splitting (325), into two cases.
% 34.23/8.92 |-Branch one:
% 34.23/8.92 | (3334) all_0_120_120 = e12
% 34.23/8.92 |
% 34.23/8.92 | Combining equations (3231,3334) yields a new equation:
% 34.23/8.92 | (3222) e12 = e11
% 34.23/8.92 |
% 34.23/8.92 | Equations (3222) can reduce 208 to:
% 34.23/8.92 | (401) $false
% 34.23/8.92 |
% 34.23/8.92 |-The branch is then unsatisfiable
% 34.23/8.92 |-Branch two:
% 34.23/8.92 | (3216) ~ (all_0_120_120 = e12)
% 34.23/8.92 | (3338) all_0_121_121 = e12 | all_0_122_122 = e12
% 34.23/8.92 |
% 34.23/8.92 +-Applying beta-rule and splitting (3338), into two cases.
% 34.23/8.92 |-Branch one:
% 34.23/8.92 | (3267) all_0_121_121 = e12
% 34.23/8.92 |
% 34.23/8.92 | Equations (3267) can reduce 3332 to:
% 34.23/8.92 | (401) $false
% 34.23/8.92 |
% 34.23/8.92 |-The branch is then unsatisfiable
% 34.23/8.92 |-Branch two:
% 34.23/8.92 | (3332) ~ (all_0_121_121 = e12)
% 34.23/8.92 | (3279) all_0_122_122 = e12
% 34.23/8.92 |
% 34.23/8.92 | Equations (3279) can reduce 3265 to:
% 34.23/8.92 | (401) $false
% 34.23/8.92 |
% 34.23/8.92 |-The branch is then unsatisfiable
% 34.23/8.92 |-Branch two:
% 34.23/8.92 | (3344) ~ (all_0_117_117 = e11)
% 34.23/8.92 | (3345) all_0_121_121 = e11
% 34.23/8.92 |
% 34.23/8.92 | Equations (3345) can reduce 3233 to:
% 34.23/8.92 | (401) $false
% 34.23/8.92 |
% 34.23/8.92 |-The branch is then unsatisfiable
% 34.23/8.92 |-Branch two:
% 34.23/8.92 | (3347) ~ (all_0_112_112 = e12)
% 34.23/8.92 | (3348) all_0_113_113 = e12 | all_0_114_114 = e12
% 34.23/8.92 |
% 34.23/8.92 +-Applying beta-rule and splitting (3348), into two cases.
% 34.23/8.92 |-Branch one:
% 34.23/8.92 | (3349) all_0_113_113 = e12
% 34.23/8.92 |
% 34.23/8.92 | Combining equations (3210,3349) yields a new equation:
% 34.23/8.92 | (3288) e12 = e10
% 34.23/8.92 |
% 34.23/8.92 | Equations (3288) can reduce 159 to:
% 34.23/8.92 | (401) $false
% 34.23/8.92 |
% 34.23/8.92 |-The branch is then unsatisfiable
% 34.23/8.92 |-Branch two:
% 34.23/8.92 | (3352) ~ (all_0_113_113 = e12)
% 34.23/8.92 | (3353) all_0_114_114 = e12
% 34.23/8.92 |
% 34.23/8.92 | Combining equations (3169,3353) yields a new equation:
% 34.23/8.92 | (3354) e13 = e12
% 34.23/8.92 |
% 34.23/8.92 | Simplifying 3354 yields:
% 34.23/8.92 | (3254) e13 = e12
% 34.23/8.92 |
% 34.23/8.92 | Equations (3254) can reduce 76 to:
% 34.23/8.92 | (401) $false
% 34.23/8.92 |
% 34.23/8.92 |-The branch is then unsatisfiable
% 34.23/8.92 |-Branch two:
% 34.23/8.92 | (3357) ~ (all_0_113_113 = e10)
% 34.23/8.92 | (3358) all_0_114_114 = e10
% 34.23/8.92 |
% 34.23/8.92 | Combining equations (3169,3358) yields a new equation:
% 34.23/8.92 | (3329) e13 = e10
% 34.23/8.92 |
% 34.23/8.92 | Simplifying 3329 yields:
% 34.23/8.92 | (3304) e13 = e10
% 34.23/8.92 |
% 34.23/8.92 | Equations (3304) can reduce 134 to:
% 34.23/8.92 | (401) $false
% 34.23/8.92 |
% 34.23/8.92 |-The branch is then unsatisfiable
% 34.23/8.92 |-Branch two:
% 34.23/8.92 | (3362) ~ (all_0_111_111 = e11)
% 34.23/8.92 | (3363) all_0_115_115 = e11 | all_0_119_119 = e11
% 34.23/8.92 |
% 34.23/8.92 +-Applying beta-rule and splitting (3363), into two cases.
% 34.23/8.92 |-Branch one:
% 34.23/8.92 | (3364) all_0_115_115 = e11
% 34.23/8.92 |
% 34.23/8.92 | Equations (3364) can reduce 157 to:
% 34.23/8.92 | (3362) ~ (all_0_111_111 = e11)
% 34.23/8.92 |
% 34.23/8.92 | Equations (3364) can reduce 127 to:
% 34.23/8.92 | (3366) ~ (all_0_117_117 = e11)
% 34.23/8.92 |
% 34.23/8.92 | Simplifying 3366 yields:
% 34.23/8.92 | (3344) ~ (all_0_117_117 = e11)
% 34.23/8.92 |
% 34.23/8.92 | Equations (3364) can reduce 101 to:
% 34.23/8.92 | (3247) ~ (all_0_118_118 = e11)
% 34.23/8.92 |
% 34.23/8.92 | Simplifying 3247 yields:
% 34.23/8.92 | (164) ~ (all_0_118_118 = e11)
% 34.23/8.92 |
% 34.23/8.92 | Equations (3364) can reduce 3141 to:
% 34.23/8.92 | (3202) ~ (e13 = e11)
% 34.23/8.92 |
% 34.23/8.92 | Simplifying 3202 yields:
% 34.23/8.92 | (34) ~ (e13 = e11)
% 34.23/8.92 |
% 34.23/8.92 | From (3364) and (301) follows:
% 34.23/8.92 | (3372) op1(e12, e13) = e11
% 34.23/8.92 |
% 34.23/8.92 | From (3364) and (182) follows:
% 34.23/8.92 | (3373) h2(e11) = all_0_58_58
% 34.23/8.92 |
% 34.23/8.92 +-Applying beta-rule and splitting (233), into two cases.
% 34.23/8.92 |-Branch one:
% 34.23/8.92 | (3204) all_0_111_111 = e10
% 34.23/8.92 |
% 34.23/8.92 | Equations (3204) can reduce 9 to:
% 34.23/8.92 | (3375) ~ (all_0_112_112 = e10)
% 34.23/8.92 |
% 34.23/8.92 | Simplifying 3375 yields:
% 34.23/8.92 | (104) ~ (all_0_112_112 = e10)
% 34.23/8.92 |
% 34.23/8.92 | Equations (3204) can reduce 198 to:
% 34.23/8.92 | (3377) ~ (all_0_113_113 = e10)
% 34.23/8.92 |
% 34.23/8.92 | Simplifying 3377 yields:
% 34.23/8.92 | (3357) ~ (all_0_113_113 = e10)
% 34.23/8.92 |
% 34.23/8.92 | Equations (3204) can reduce 3156 to:
% 34.23/8.92 | (3323) ~ (e13 = e10)
% 34.23/8.92 |
% 34.23/8.92 | Simplifying 3323 yields:
% 34.23/8.92 | (134) ~ (e13 = e10)
% 34.23/8.92 |
% 34.23/8.92 | Equations (3204) can reduce 3362 to:
% 34.23/8.92 | (3283) ~ (e11 = e10)
% 34.23/8.92 |
% 34.23/8.92 | Simplifying 3283 yields:
% 34.23/8.92 | (138) ~ (e11 = e10)
% 34.23/8.92 |
% 34.23/8.92 | From (3204) and (46) follows:
% 34.23/8.92 | (3383) h2(e10) = all_0_54_54
% 34.23/8.92 |
% 34.23/8.92 | Instantiating formula (140) with e11, all_0_58_58, e21 and discharging atoms h2(e11) = all_0_58_58, h2(e11) = e21, yields:
% 34.23/8.92 | (3384) all_0_58_58 = e21
% 34.23/8.92 |
% 34.23/8.92 | Instantiating formula (140) with e10, all_0_54_54, e20 and discharging atoms h2(e10) = all_0_54_54, h2(e10) = e20, yields:
% 34.23/8.92 | (3385) all_0_54_54 = e20
% 34.23/8.92 |
% 34.23/8.92 | From (3384) and (3373) follows:
% 34.23/8.93 | (251) h2(e11) = e21
% 34.23/8.93 |
% 34.23/8.93 | From (3385) and (3383) follows:
% 34.23/8.93 | (117) h2(e10) = e20
% 34.23/8.93 |
% 34.23/8.93 +-Applying beta-rule and splitting (85), into two cases.
% 34.23/8.93 |-Branch one:
% 34.23/8.93 | (3358) all_0_114_114 = e10
% 34.23/8.93 |
% 34.23/8.93 | Combining equations (3358,3169) yields a new equation:
% 34.23/8.93 | (3304) e13 = e10
% 34.23/8.93 |
% 34.23/8.93 | Equations (3304) can reduce 134 to:
% 34.23/8.93 | (401) $false
% 34.23/8.93 |
% 34.23/8.93 |-The branch is then unsatisfiable
% 34.23/8.93 |-Branch two:
% 34.23/8.93 | (3391) ~ (all_0_114_114 = e10)
% 34.23/8.93 | (3392) all_0_118_118 = e10 | all_0_122_122 = e10
% 34.23/8.93 |
% 34.23/8.93 | Equations (3169) can reduce 3391 to:
% 34.23/8.93 | (134) ~ (e13 = e10)
% 34.23/8.93 |
% 34.23/8.93 +-Applying beta-rule and splitting (174), into two cases.
% 34.23/8.93 |-Branch one:
% 34.23/8.93 | (3199) all_0_111_111 = e11
% 34.23/8.93 |
% 34.23/8.93 | Combining equations (3199,3204) yields a new equation:
% 34.23/8.93 | (3205) e11 = e10
% 34.23/8.93 |
% 34.23/8.93 | Simplifying 3205 yields:
% 34.23/8.93 | (3206) e11 = e10
% 34.23/8.93 |
% 34.23/8.93 | Equations (3206) can reduce 138 to:
% 34.23/8.93 | (401) $false
% 34.23/8.93 |
% 34.23/8.93 |-The branch is then unsatisfiable
% 34.23/8.93 |-Branch two:
% 34.23/8.93 | (3362) ~ (all_0_111_111 = e11)
% 34.23/8.93 | (3399) all_0_112_112 = e11 | all_0_113_113 = e11
% 34.23/8.93 |
% 34.23/8.93 +-Applying beta-rule and splitting (72), into two cases.
% 34.23/8.93 |-Branch one:
% 34.23/8.93 | (3210) all_0_113_113 = e10
% 34.23/8.93 |
% 34.37/8.93 | Equations (3210) can reduce 3357 to:
% 34.37/8.93 | (401) $false
% 34.37/8.93 |
% 34.37/8.93 |-The branch is then unsatisfiable
% 34.37/8.93 |-Branch two:
% 34.37/8.93 | (3357) ~ (all_0_113_113 = e10)
% 34.37/8.93 | (3403) all_0_117_117 = e10 | all_0_121_121 = e10
% 34.37/8.93 |
% 34.37/8.93 +-Applying beta-rule and splitting (320), into two cases.
% 34.37/8.93 |-Branch one:
% 34.37/8.93 | (3404) all_0_119_119 = e11
% 34.37/8.93 |
% 34.37/8.93 | Combining equations (3155,3404) yields a new equation:
% 34.37/8.93 | (3227) e13 = e11
% 34.37/8.93 |
% 34.37/8.93 | Simplifying 3227 yields:
% 34.37/8.93 | (3228) e13 = e11
% 34.37/8.93 |
% 34.37/8.93 | Equations (3228) can reduce 34 to:
% 34.37/8.93 | (401) $false
% 34.37/8.93 |
% 34.37/8.93 |-The branch is then unsatisfiable
% 34.37/8.93 |-Branch two:
% 34.37/8.93 | (3408) ~ (all_0_119_119 = e11)
% 34.37/8.93 | (3409) all_0_120_120 = e11 | all_0_121_121 = e11
% 34.37/8.93 |
% 34.37/8.93 +-Applying beta-rule and splitting (319), into two cases.
% 34.37/8.93 |-Branch one:
% 34.37/8.93 | (3328) all_0_119_119 = e10
% 34.37/8.93 |
% 34.37/8.93 | Combining equations (3155,3328) yields a new equation:
% 34.37/8.93 | (3329) e13 = e10
% 34.37/8.93 |
% 34.37/8.93 | Simplifying 3329 yields:
% 34.37/8.93 | (3304) e13 = e10
% 34.37/8.93 |
% 34.37/8.93 | Equations (3304) can reduce 134 to:
% 34.37/8.93 | (401) $false
% 34.37/8.93 |
% 34.37/8.93 |-The branch is then unsatisfiable
% 34.37/8.93 |-Branch two:
% 34.37/8.93 | (3414) ~ (all_0_119_119 = e10)
% 34.37/8.93 | (3415) all_0_121_121 = e10 | all_0_122_122 = e10
% 34.37/8.93 |
% 34.37/8.93 +-Applying beta-rule and splitting (316), into two cases.
% 34.37/8.93 |-Branch one:
% 34.37/8.93 | (3258) all_0_117_117 = e12
% 34.37/8.93 |
% 34.37/8.93 | Equations (3258) can reduce 252 to:
% 34.37/8.93 | (3352) ~ (all_0_113_113 = e12)
% 34.37/8.93 |
% 34.37/8.93 | Equations (3258) can reduce 192 to:
% 34.37/8.93 | (3418) ~ (all_0_118_118 = e12)
% 34.37/8.93 |
% 34.37/8.93 | Simplifying 3418 yields:
% 34.37/8.93 | (3419) ~ (all_0_118_118 = e12)
% 34.37/8.93 |
% 34.37/8.93 | Equations (3258) can reduce 29 to:
% 34.37/8.93 | (3217) ~ (e13 = e12)
% 34.37/8.93 |
% 34.37/8.93 | Simplifying 3217 yields:
% 34.37/8.93 | (76) ~ (e13 = e12)
% 34.37/8.93 |
% 34.37/8.93 | Equations (3258) can reduce 3344 to:
% 34.37/8.93 | (208) ~ (e12 = e11)
% 34.37/8.93 |
% 34.37/8.93 +-Applying beta-rule and splitting (270), into two cases.
% 34.37/8.93 |-Branch one:
% 34.37/8.93 | (3214) all_0_112_112 = e12
% 34.37/8.93 |
% 34.37/8.93 | Equations (3214) can reduce 3140 to:
% 34.37/8.93 | (3217) ~ (e13 = e12)
% 34.37/8.93 |
% 34.37/8.93 | Simplifying 3217 yields:
% 34.37/8.93 | (76) ~ (e13 = e12)
% 34.37/8.93 |
% 34.37/8.93 | Equations (3214) can reduce 104 to:
% 34.37/8.93 | (159) ~ (e12 = e10)
% 34.37/8.93 |
% 34.37/8.93 +-Applying beta-rule and splitting (282), into two cases.
% 34.37/8.93 |-Branch one:
% 34.37/8.93 | (3220) all_0_112_112 = e11
% 34.37/8.93 |
% 34.37/8.93 | Combining equations (3220,3214) yields a new equation:
% 34.37/8.93 | (3222) e12 = e11
% 34.37/8.93 |
% 34.37/8.93 | Equations (3222) can reduce 208 to:
% 34.37/8.93 | (401) $false
% 34.37/8.93 |
% 34.37/8.93 |-The branch is then unsatisfiable
% 34.37/8.93 |-Branch two:
% 34.37/8.93 | (3201) ~ (all_0_112_112 = e11)
% 34.37/8.93 | (3225) all_0_116_116 = e11 | all_0_120_120 = e11
% 34.37/8.93 |
% 34.37/8.93 | Equations (3214) can reduce 3201 to:
% 34.37/8.93 | (208) ~ (e12 = e11)
% 34.37/8.93 |
% 34.37/8.93 +-Applying beta-rule and splitting (3403), into two cases.
% 34.37/8.93 |-Branch one:
% 34.37/8.93 | (3433) all_0_117_117 = e10
% 34.37/8.93 |
% 34.37/8.93 | Combining equations (3258,3433) yields a new equation:
% 34.37/8.93 | (3307) e12 = e10
% 34.37/8.93 |
% 34.37/8.93 | Simplifying 3307 yields:
% 34.37/8.93 | (3288) e12 = e10
% 34.37/8.93 |
% 34.37/8.93 | Equations (3288) can reduce 159 to:
% 34.37/8.93 | (401) $false
% 34.37/8.93 |
% 34.37/8.93 |-The branch is then unsatisfiable
% 34.37/8.93 |-Branch two:
% 34.37/8.93 | (3212) ~ (all_0_117_117 = e10)
% 34.37/8.93 | (3438) all_0_121_121 = e10
% 34.37/8.93 |
% 34.37/8.93 | Equations (3438) can reduce 297 to:
% 34.37/8.93 | (3439) ~ (all_0_122_122 = e10)
% 34.37/8.93 |
% 34.37/8.93 | Simplifying 3439 yields:
% 34.37/8.93 | (3440) ~ (all_0_122_122 = e10)
% 34.37/8.93 |
% 34.37/8.93 +-Applying beta-rule and splitting (133), into two cases.
% 34.37/8.93 |-Branch one:
% 34.37/8.93 | (3240) all_0_113_113 = e11
% 34.37/8.93 |
% 34.37/8.93 | Equations (3240) can reduce 177 to:
% 34.37/8.93 | (3202) ~ (e13 = e11)
% 34.37/8.93 |
% 34.37/8.93 | Simplifying 3202 yields:
% 34.37/8.93 | (34) ~ (e13 = e11)
% 34.37/8.93 |
% 34.37/8.93 +-Applying beta-rule and splitting (357), into two cases.
% 34.37/8.93 |-Branch one:
% 34.37/8.93 | (3353) all_0_114_114 = e12
% 34.37/8.93 |
% 34.37/8.93 | Combining equations (3169,3353) yields a new equation:
% 34.37/8.93 | (3354) e13 = e12
% 34.37/8.93 |
% 34.37/8.93 | Simplifying 3354 yields:
% 34.37/8.93 | (3254) e13 = e12
% 34.37/8.93 |
% 34.37/8.93 | Equations (3254) can reduce 76 to:
% 34.37/8.93 | (401) $false
% 34.37/8.93 |
% 34.37/8.93 |-The branch is then unsatisfiable
% 34.37/8.93 |-Branch two:
% 34.37/8.93 | (3448) ~ (all_0_114_114 = e12)
% 34.37/8.93 | (3449) all_0_118_118 = e12 | all_0_122_122 = e12
% 34.37/8.93 |
% 34.37/8.93 +-Applying beta-rule and splitting (3225), into two cases.
% 34.37/8.93 |-Branch one:
% 34.37/8.93 | (3226) all_0_116_116 = e11
% 34.37/8.93 |
% 34.37/8.93 | Combining equations (3226,3139) yields a new equation:
% 34.37/8.93 | (3228) e13 = e11
% 34.37/8.93 |
% 34.37/8.93 | Equations (3228) can reduce 34 to:
% 34.37/8.93 | (401) $false
% 34.37/8.93 |
% 34.37/8.93 |-The branch is then unsatisfiable
% 34.37/8.93 |-Branch two:
% 34.37/8.93 | (3230) ~ (all_0_116_116 = e11)
% 34.37/8.93 | (3231) all_0_120_120 = e11
% 34.37/8.94 |
% 34.37/8.94 | Equations (3231) can reduce 262 to:
% 34.37/8.94 | (3234) ~ (all_0_122_122 = e11)
% 34.37/8.94 |
% 34.37/8.94 | Simplifying 3234 yields:
% 34.37/8.94 | (147) ~ (all_0_122_122 = e11)
% 34.37/8.94 |
% 34.37/8.94 | From (3231) and (70) follows:
% 34.37/8.94 | (3239) op1(e10, e12) = e11
% 34.37/8.94 |
% 34.37/8.94 +-Applying beta-rule and splitting (3392), into two cases.
% 34.37/8.94 |-Branch one:
% 34.37/8.94 | (3458) all_0_118_118 = e10
% 34.37/8.94 |
% 34.37/8.94 | Equations (3458) can reduce 3419 to:
% 34.37/8.94 | (3459) ~ (e12 = e10)
% 34.37/8.94 |
% 34.37/8.94 | Simplifying 3459 yields:
% 34.37/8.94 | (159) ~ (e12 = e10)
% 34.37/8.94 |
% 34.37/8.94 | Equations (3458) can reduce 164 to:
% 34.37/8.94 | (3283) ~ (e11 = e10)
% 34.37/8.94 |
% 34.37/8.94 | Simplifying 3283 yields:
% 34.37/8.94 | (138) ~ (e11 = e10)
% 34.37/8.94 |
% 34.37/8.94 +-Applying beta-rule and splitting (3449), into two cases.
% 34.37/8.94 |-Branch one:
% 34.37/8.94 | (3263) all_0_118_118 = e12
% 34.37/8.94 |
% 34.37/8.94 | Combining equations (3458,3263) yields a new equation:
% 34.37/8.94 | (3288) e12 = e10
% 34.37/8.94 |
% 34.37/8.94 | Equations (3288) can reduce 159 to:
% 34.37/8.94 | (401) $false
% 34.37/8.94 |
% 34.37/8.94 |-The branch is then unsatisfiable
% 34.37/8.94 |-Branch two:
% 34.37/8.94 | (3419) ~ (all_0_118_118 = e12)
% 34.37/8.94 | (3279) all_0_122_122 = e12
% 34.37/8.94 |
% 34.37/8.94 | Equations (3279) can reduce 147 to:
% 34.37/8.94 | (208) ~ (e12 = e11)
% 34.37/8.94 |
% 34.37/8.94 | From (3279) and (6) follows:
% 34.37/8.94 | (3469) op1(e10, e10) = e12
% 34.37/8.94 |
% 34.37/8.94 +-Applying beta-rule and splitting (272), into two cases.
% 34.37/8.94 |-Branch one:
% 34.37/8.94 | (3285) unit1 = e13
% 34.37/8.94 |
% 34.37/8.94 | From (3285) and (246) follows:
% 34.37/8.94 | (3287) op1(e11, e13) = e11
% 34.37/8.94 |
% 34.37/8.94 | Instantiating formula (291) with e11, e13, e11, e12 and discharging atoms op1(e11, e13) = e12, op1(e11, e13) = e11, yields:
% 34.37/8.94 | (3222) e12 = e11
% 34.37/8.94 |
% 34.37/8.94 | Equations (3222) can reduce 208 to:
% 34.37/8.94 | (401) $false
% 34.37/8.94 |
% 34.37/8.94 |-The branch is then unsatisfiable
% 34.37/8.94 |-Branch two:
% 34.37/8.94 | (3292) ~ (unit1 = e13)
% 34.37/8.94 | (3293) unit1 = e12 | unit1 = e11 | unit1 = e10
% 34.37/8.94 |
% 34.37/8.94 +-Applying beta-rule and splitting (3293), into two cases.
% 34.37/8.94 |-Branch one:
% 34.37/8.94 | (3294) unit1 = e12
% 34.37/8.94 |
% 34.37/8.94 | From (3294) and (207) follows:
% 34.37/8.94 | (3295) op1(e10, e12) = e10
% 34.37/8.94 |
% 34.37/8.94 | Instantiating formula (291) with e10, e12, e10, e11 and discharging atoms op1(e10, e12) = e11, op1(e10, e12) = e10, yields:
% 34.37/8.94 | (3206) e11 = e10
% 34.37/8.94 |
% 34.37/8.94 | Equations (3206) can reduce 138 to:
% 34.37/8.94 | (401) $false
% 34.37/8.94 |
% 34.37/8.94 |-The branch is then unsatisfiable
% 34.37/8.94 |-Branch two:
% 34.37/8.94 | (3298) ~ (unit1 = e12)
% 34.37/8.94 | (3299) unit1 = e11 | unit1 = e10
% 34.37/8.94 |
% 34.37/8.94 +-Applying beta-rule and splitting (3299), into two cases.
% 34.37/8.94 |-Branch one:
% 34.37/8.94 | (3300) unit1 = e11
% 34.37/8.94 |
% 34.37/8.94 | From (3300) and (205) follows:
% 34.37/8.94 | (3301) op1(e11, e13) = e13
% 34.37/8.94 |
% 34.37/8.94 | From (3300) and (362) follows:
% 34.37/8.94 | (3484) op1(e11, e12) = e12
% 34.37/8.94 |
% 34.37/8.94 | From (3300) and (246) follows:
% 34.37/8.94 | (3485) op1(e11, e11) = e11
% 34.37/8.94 |
% 34.37/8.94 | Instantiating formula (291) with e11, e13, e13, e12 and discharging atoms op1(e11, e13) = e13, op1(e11, e13) = e12, yields:
% 34.37/8.94 | (3254) e13 = e12
% 34.37/8.94 |
% 34.37/8.94 | Instantiating formula (291) with e11, e12, e12, e10 and discharging atoms op1(e11, e12) = e12, op1(e11, e12) = e10, yields:
% 34.37/8.94 | (3288) e12 = e10
% 34.37/8.94 |
% 34.37/8.94 | Instantiating formula (291) with e11, e11, e11, e13 and discharging atoms op1(e11, e11) = e13, op1(e11, e11) = e11, yields:
% 34.37/8.94 | (3228) e13 = e11
% 34.37/8.94 |
% 34.37/8.94 | Combining equations (3228,3254) yields a new equation:
% 34.37/8.94 | (3222) e12 = e11
% 34.37/8.94 |
% 34.37/8.94 | Combining equations (3222,3288) yields a new equation:
% 34.37/8.94 | (3205) e11 = e10
% 34.37/8.94 |
% 34.37/8.94 | Simplifying 3205 yields:
% 34.37/8.94 | (3206) e11 = e10
% 34.37/8.94 |
% 34.37/8.94 | Equations (3206) can reduce 138 to:
% 34.37/8.94 | (401) $false
% 34.37/8.94 |
% 34.37/8.94 |-The branch is then unsatisfiable
% 34.37/8.94 |-Branch two:
% 34.37/8.94 | (3312) ~ (unit1 = e11)
% 34.37/8.94 | (3313) unit1 = e10
% 34.37/8.94 |
% 34.37/8.94 | Equations (3313) can reduce 3312 to:
% 34.37/8.94 | (3283) ~ (e11 = e10)
% 34.37/8.94 |
% 34.37/8.94 | Simplifying 3283 yields:
% 34.37/8.94 | (138) ~ (e11 = e10)
% 34.37/8.94 |
% 34.37/8.94 | From (3313) and (362) follows:
% 34.37/8.94 | (3497) op1(e10, e12) = e12
% 34.37/8.94 |
% 34.37/8.94 | From (3313) and (207) follows:
% 34.37/8.94 | (3498) op1(e10, e10) = e10
% 34.37/8.94 |
% 34.37/8.94 | Instantiating formula (291) with e10, e12, e12, e11 and discharging atoms op1(e10, e12) = e12, op1(e10, e12) = e11, yields:
% 34.37/8.94 | (3222) e12 = e11
% 34.37/8.94 |
% 34.37/8.94 | Instantiating formula (291) with e10, e10, e10, e12 and discharging atoms op1(e10, e10) = e12, op1(e10, e10) = e10, yields:
% 34.37/8.94 | (3288) e12 = e10
% 34.37/8.94 |
% 34.37/8.94 | Combining equations (3288,3222) yields a new equation:
% 34.37/8.94 | (3206) e11 = e10
% 34.37/8.94 |
% 34.37/8.94 | Equations (3206) can reduce 138 to:
% 34.37/8.94 | (401) $false
% 34.37/8.94 |
% 34.37/8.94 |-The branch is then unsatisfiable
% 34.37/8.94 |-Branch two:
% 34.37/8.94 | (3503) ~ (all_0_118_118 = e10)
% 34.37/8.94 | (3282) all_0_122_122 = e10
% 34.37/8.94 |
% 34.37/8.94 | Equations (3282) can reduce 3440 to:
% 34.37/8.94 | (401) $false
% 34.37/8.94 |
% 34.37/8.94 |-The branch is then unsatisfiable
% 34.37/8.94 |-Branch two:
% 34.37/8.94 | (3244) ~ (all_0_113_113 = e11)
% 34.37/8.94 | (3245) all_0_117_117 = e11 | all_0_121_121 = e11
% 34.37/8.94 |
% 34.37/8.94 +-Applying beta-rule and splitting (3392), into two cases.
% 34.37/8.94 |-Branch one:
% 34.37/8.94 | (3458) all_0_118_118 = e10
% 34.37/8.94 |
% 34.37/8.94 | Equations (3458) can reduce 164 to:
% 34.37/8.94 | (3283) ~ (e11 = e10)
% 34.37/8.94 |
% 34.37/8.94 | Simplifying 3283 yields:
% 34.37/8.94 | (138) ~ (e11 = e10)
% 34.37/8.94 |
% 34.37/8.94 +-Applying beta-rule and splitting (3245), into two cases.
% 34.37/8.94 |-Branch one:
% 34.37/8.94 | (3246) all_0_117_117 = e11
% 34.37/8.94 |
% 34.37/8.95 | Combining equations (3246,3258) yields a new equation:
% 34.37/8.95 | (3222) e12 = e11
% 34.37/8.95 |
% 34.37/8.95 | Equations (3222) can reduce 208 to:
% 34.37/8.95 | (401) $false
% 34.37/8.95 |
% 34.37/8.95 |-The branch is then unsatisfiable
% 34.37/8.95 |-Branch two:
% 34.37/8.95 | (3344) ~ (all_0_117_117 = e11)
% 34.37/8.95 | (3345) all_0_121_121 = e11
% 34.37/8.95 |
% 34.37/8.95 | Combining equations (3438,3345) yields a new equation:
% 34.37/8.95 | (3206) e11 = e10
% 34.37/8.95 |
% 34.37/8.95 | Equations (3206) can reduce 138 to:
% 34.37/8.95 | (401) $false
% 34.37/8.95 |
% 34.37/8.95 |-The branch is then unsatisfiable
% 34.37/8.95 |-Branch two:
% 34.37/8.95 | (3503) ~ (all_0_118_118 = e10)
% 34.37/8.95 | (3282) all_0_122_122 = e10
% 34.37/8.95 |
% 34.37/8.95 | Equations (3282) can reduce 3440 to:
% 34.37/8.95 | (401) $false
% 34.37/8.95 |
% 34.37/8.95 |-The branch is then unsatisfiable
% 34.37/8.95 |-Branch two:
% 34.37/8.95 | (3347) ~ (all_0_112_112 = e12)
% 34.37/8.95 | (3348) all_0_113_113 = e12 | all_0_114_114 = e12
% 34.37/8.95 |
% 34.37/8.95 +-Applying beta-rule and splitting (3348), into two cases.
% 34.37/8.95 |-Branch one:
% 34.37/8.95 | (3349) all_0_113_113 = e12
% 34.37/8.95 |
% 34.37/8.95 | Equations (3349) can reduce 3352 to:
% 34.37/8.95 | (401) $false
% 34.37/8.95 |
% 34.37/8.95 |-The branch is then unsatisfiable
% 34.37/8.95 |-Branch two:
% 34.37/8.95 | (3352) ~ (all_0_113_113 = e12)
% 34.37/8.95 | (3353) all_0_114_114 = e12
% 34.37/8.95 |
% 34.37/8.95 | Combining equations (3353,3169) yields a new equation:
% 34.37/8.95 | (3254) e13 = e12
% 34.37/8.95 |
% 34.37/8.95 | Equations (3254) can reduce 76 to:
% 34.37/8.95 | (401) $false
% 34.37/8.95 |
% 34.37/8.95 |-The branch is then unsatisfiable
% 34.37/8.95 |-Branch two:
% 34.37/8.95 | (3262) ~ (all_0_117_117 = e12)
% 34.37/8.95 | (3530) all_0_117_117 = e11 | all_0_117_117 = e10
% 34.37/8.95 |
% 34.37/8.95 +-Applying beta-rule and splitting (3530), into two cases.
% 34.37/8.95 |-Branch one:
% 34.37/8.95 | (3246) all_0_117_117 = e11
% 34.37/8.95 |
% 34.37/8.95 | Equations (3246) can reduce 3344 to:
% 34.37/8.95 | (401) $false
% 34.37/8.95 |
% 34.37/8.95 |-The branch is then unsatisfiable
% 34.37/8.95 |-Branch two:
% 34.37/8.95 | (3344) ~ (all_0_117_117 = e11)
% 34.37/8.95 | (3433) all_0_117_117 = e10
% 34.37/8.95 |
% 34.37/8.95 | Equations (3433) can reduce 126 to:
% 34.37/8.95 | (3535) ~ (all_0_121_121 = e10)
% 34.37/8.95 |
% 34.37/8.95 | Simplifying 3535 yields:
% 34.37/8.95 | (3536) ~ (all_0_121_121 = e10)
% 34.37/8.95 |
% 34.37/8.95 | Equations (3433) can reduce 3262 to:
% 34.37/8.95 | (3459) ~ (e12 = e10)
% 34.37/8.95 |
% 34.37/8.95 | Simplifying 3459 yields:
% 34.37/8.95 | (159) ~ (e12 = e10)
% 34.37/8.95 |
% 34.37/8.95 | From (3433) and (74) follows:
% 34.37/8.95 | (3539) h2(e10) = all_0_60_60
% 34.37/8.95 |
% 34.37/8.95 +-Applying beta-rule and splitting (3415), into two cases.
% 34.37/8.95 |-Branch one:
% 34.37/8.95 | (3438) all_0_121_121 = e10
% 34.37/8.95 |
% 34.37/8.95 | Equations (3438) can reduce 3536 to:
% 34.37/8.95 | (401) $false
% 34.37/8.95 |
% 34.37/8.95 |-The branch is then unsatisfiable
% 34.37/8.95 |-Branch two:
% 34.37/8.95 | (3536) ~ (all_0_121_121 = e10)
% 34.37/8.95 | (3282) all_0_122_122 = e10
% 34.37/8.95 |
% 34.37/8.95 | Equations (3282) can reduce 262 to:
% 34.37/8.95 | (235) ~ (all_0_120_120 = e10)
% 34.37/8.95 |
% 34.37/8.95 | Equations (3282) can reduce 297 to:
% 34.37/8.95 | (3536) ~ (all_0_121_121 = e10)
% 34.37/8.95 |
% 34.37/8.95 | From (3282) and (193) follows:
% 34.37/8.95 | (3546) h2(e10) = all_0_65_65
% 34.37/8.95 |
% 34.37/8.95 +-Applying beta-rule and splitting (41), into two cases.
% 34.37/8.95 |-Branch one:
% 34.37/8.95 | (3253) all_0_116_116 = e12
% 34.37/8.95 |
% 34.37/8.95 | Combining equations (3253,3139) yields a new equation:
% 34.37/8.95 | (3254) e13 = e12
% 34.37/8.95 |
% 34.37/8.95 | Equations (3254) can reduce 76 to:
% 34.37/8.95 | (401) $false
% 34.37/8.95 |
% 34.37/8.95 |-The branch is then unsatisfiable
% 34.37/8.95 |-Branch two:
% 34.37/8.95 | (3256) ~ (all_0_116_116 = e12)
% 34.37/8.95 | (3257) all_0_117_117 = e12 | all_0_118_118 = e12
% 34.37/8.95 |
% 34.37/8.95 +-Applying beta-rule and splitting (3257), into two cases.
% 34.37/8.95 |-Branch one:
% 34.37/8.95 | (3258) all_0_117_117 = e12
% 34.37/8.95 |
% 34.37/8.95 | Combining equations (3433,3258) yields a new equation:
% 34.37/8.95 | (3288) e12 = e10
% 34.37/8.95 |
% 34.37/8.95 | Equations (3288) can reduce 159 to:
% 34.37/8.95 | (401) $false
% 34.37/8.95 |
% 34.37/8.95 |-The branch is then unsatisfiable
% 34.37/8.95 |-Branch two:
% 34.37/8.95 | (3262) ~ (all_0_117_117 = e12)
% 34.37/8.95 | (3263) all_0_118_118 = e12
% 34.37/8.95 |
% 34.37/8.95 | Equations (3263) can reduce 3174 to:
% 34.37/8.95 | (3217) ~ (e13 = e12)
% 34.37/8.95 |
% 34.37/8.95 | Simplifying 3217 yields:
% 34.37/8.95 | (76) ~ (e13 = e12)
% 34.37/8.95 |
% 34.37/8.95 | Equations (3263) can reduce 164 to:
% 34.37/8.95 | (208) ~ (e12 = e11)
% 34.37/8.95 |
% 34.37/8.95 | From (3263) and (170) follows:
% 34.37/8.95 | (3560) op1(e12, e10) = e12
% 34.37/8.95 |
% 34.37/8.95 | From (3263) and (125) follows:
% 34.37/8.95 | (3561) h2(e12) = all_0_61_61
% 34.37/8.95 |
% 34.37/8.95 | Instantiating formula (140) with e12, all_0_61_61, e22 and discharging atoms h2(e12) = all_0_61_61, h2(e12) = e22, yields:
% 34.37/8.95 | (3562) all_0_61_61 = e22
% 34.37/8.95 |
% 34.37/8.95 | Instantiating formula (140) with e10, all_0_60_60, e20 and discharging atoms h2(e10) = all_0_60_60, h2(e10) = e20, yields:
% 34.37/8.95 | (3563) all_0_60_60 = e20
% 34.37/8.95 |
% 34.37/8.95 | Instantiating formula (140) with e10, all_0_65_65, all_0_60_60 and discharging atoms h2(e10) = all_0_60_60, h2(e10) = all_0_65_65, yields:
% 34.37/8.95 | (3564) all_0_60_60 = all_0_65_65
% 34.37/8.95 |
% 34.37/8.95 | Combining equations (3563,3564) yields a new equation:
% 34.37/8.95 | (3565) all_0_65_65 = e20
% 34.37/8.95 |
% 34.37/8.95 | Combining equations (3565,3564) yields a new equation:
% 34.37/8.95 | (3563) all_0_60_60 = e20
% 34.37/8.95 |
% 34.37/8.95 | From (3562) and (3561) follows:
% 34.37/8.95 | (329) h2(e12) = e22
% 34.37/8.95 |
% 34.37/8.95 +-Applying beta-rule and splitting (270), into two cases.
% 34.37/8.95 |-Branch one:
% 34.37/8.95 | (3214) all_0_112_112 = e12
% 34.37/8.95 |
% 34.37/8.95 +-Applying beta-rule and splitting (282), into two cases.
% 34.37/8.95 |-Branch one:
% 34.37/8.95 | (3220) all_0_112_112 = e11
% 34.37/8.95 |
% 34.37/8.96 | Combining equations (3220,3214) yields a new equation:
% 34.37/8.96 | (3222) e12 = e11
% 34.37/8.96 |
% 34.37/8.96 | Equations (3222) can reduce 208 to:
% 34.37/8.96 | (401) $false
% 34.37/8.96 |
% 34.37/8.96 |-The branch is then unsatisfiable
% 34.37/8.96 |-Branch two:
% 34.37/8.96 | (3201) ~ (all_0_112_112 = e11)
% 34.37/8.96 | (3225) all_0_116_116 = e11 | all_0_120_120 = e11
% 34.37/8.96 |
% 34.37/8.96 | Equations (3214) can reduce 3201 to:
% 34.37/8.96 | (208) ~ (e12 = e11)
% 34.37/8.96 |
% 34.37/8.96 +-Applying beta-rule and splitting (3399), into two cases.
% 34.37/8.96 |-Branch one:
% 34.37/8.96 | (3220) all_0_112_112 = e11
% 34.37/8.96 |
% 34.37/8.96 | Combining equations (3220,3214) yields a new equation:
% 34.37/8.96 | (3222) e12 = e11
% 34.37/8.96 |
% 34.37/8.96 | Equations (3222) can reduce 208 to:
% 34.37/8.96 | (401) $false
% 34.37/8.96 |
% 34.37/8.96 |-The branch is then unsatisfiable
% 34.37/8.96 |-Branch two:
% 34.37/8.96 | (3201) ~ (all_0_112_112 = e11)
% 34.37/8.96 | (3240) all_0_113_113 = e11
% 34.37/8.96 |
% 34.37/8.96 | Equations (3240) can reduce 139 to:
% 34.37/8.96 | (3232) ~ (all_0_121_121 = e11)
% 34.37/8.96 |
% 34.37/8.96 | Simplifying 3232 yields:
% 34.37/8.96 | (3233) ~ (all_0_121_121 = e11)
% 34.37/8.96 |
% 34.37/8.96 +-Applying beta-rule and splitting (51), into two cases.
% 34.37/8.96 |-Branch one:
% 34.37/8.96 | (3267) all_0_121_121 = e12
% 34.37/8.96 |
% 34.37/8.96 | Equations (3267) can reduce 333 to:
% 34.37/8.96 | (3216) ~ (all_0_120_120 = e12)
% 34.37/8.96 |
% 34.37/8.96 | From (3267) and (21) follows:
% 34.37/8.96 | (3271) op1(e10, e11) = e12
% 34.37/8.96 |
% 34.37/8.96 +-Applying beta-rule and splitting (3186), into two cases.
% 34.37/8.96 |-Branch one:
% 34.37/8.96 | (3334) all_0_120_120 = e12
% 34.37/8.96 |
% 34.37/8.96 | Equations (3334) can reduce 3216 to:
% 34.37/8.96 | (401) $false
% 34.37/8.96 |
% 34.37/8.96 |-The branch is then unsatisfiable
% 34.37/8.96 |-Branch two:
% 34.37/8.96 | (3216) ~ (all_0_120_120 = e12)
% 34.37/8.96 | (3231) all_0_120_120 = e11
% 34.37/8.96 |
% 34.37/8.96 | Equations (3231) can reduce 3216 to:
% 34.37/8.96 | (3236) ~ (e12 = e11)
% 34.37/8.96 |
% 34.37/8.96 | Simplifying 3236 yields:
% 34.37/8.96 | (208) ~ (e12 = e11)
% 34.37/8.96 |
% 34.37/8.96 | Equations (3231) can reduce 235 to:
% 34.37/8.96 | (138) ~ (e11 = e10)
% 34.37/8.96 |
% 34.37/8.96 +-Applying beta-rule and splitting (272), into two cases.
% 34.37/8.96 |-Branch one:
% 34.37/8.96 | (3285) unit1 = e13
% 34.37/8.96 |
% 34.37/8.96 | From (3285) and (246) follows:
% 34.37/8.96 | (3287) op1(e11, e13) = e11
% 34.37/8.96 |
% 34.37/8.96 | Instantiating formula (291) with e11, e13, e11, e12 and discharging atoms op1(e11, e13) = e12, op1(e11, e13) = e11, yields:
% 34.37/8.96 | (3222) e12 = e11
% 34.37/8.96 |
% 34.37/8.96 | Equations (3222) can reduce 208 to:
% 34.37/8.96 | (401) $false
% 34.37/8.96 |
% 34.37/8.96 |-The branch is then unsatisfiable
% 34.37/8.96 |-Branch two:
% 34.37/8.96 | (3292) ~ (unit1 = e13)
% 34.37/8.96 | (3293) unit1 = e12 | unit1 = e11 | unit1 = e10
% 34.37/8.96 |
% 34.37/8.96 +-Applying beta-rule and splitting (3293), into two cases.
% 34.37/8.96 |-Branch one:
% 34.37/8.96 | (3294) unit1 = e12
% 34.37/8.96 |
% 34.37/8.96 | From (3294) and (205) follows:
% 34.37/8.96 | (3599) op1(e12, e13) = e13
% 34.37/8.96 |
% 34.37/8.96 | From (3294) and (189) follows:
% 34.37/8.96 | (3600) op1(e12, e10) = e10
% 34.37/8.96 |
% 34.37/8.96 | From (3294) and (136) follows:
% 34.37/8.96 | (3601) op1(e12, e12) = e12
% 34.37/8.96 |
% 34.37/8.96 | Instantiating formula (291) with e12, e13, e13, e11 and discharging atoms op1(e12, e13) = e13, op1(e12, e13) = e11, yields:
% 34.37/8.96 | (3228) e13 = e11
% 34.37/8.96 |
% 34.37/8.96 | Instantiating formula (291) with e12, e12, e12, e13 and discharging atoms op1(e12, e12) = e13, op1(e12, e12) = e12, yields:
% 34.37/8.96 | (3254) e13 = e12
% 34.37/8.96 |
% 34.37/8.96 | Instantiating formula (291) with e12, e10, e10, e12 and discharging atoms op1(e12, e10) = e12, op1(e12, e10) = e10, yields:
% 34.37/8.96 | (3288) e12 = e10
% 34.37/8.96 |
% 34.37/8.96 | Combining equations (3228,3254) yields a new equation:
% 34.37/8.96 | (3222) e12 = e11
% 34.37/8.96 |
% 34.37/8.96 | Combining equations (3222,3288) yields a new equation:
% 34.37/8.96 | (3205) e11 = e10
% 34.37/8.96 |
% 34.37/8.96 | Simplifying 3205 yields:
% 34.37/8.96 | (3206) e11 = e10
% 34.37/8.96 |
% 34.37/8.96 | Equations (3206) can reduce 138 to:
% 34.37/8.96 | (401) $false
% 34.37/8.96 |
% 34.37/8.96 |-The branch is then unsatisfiable
% 34.37/8.96 |-Branch two:
% 34.37/8.96 | (3298) ~ (unit1 = e12)
% 34.37/8.96 | (3299) unit1 = e11 | unit1 = e10
% 34.37/8.96 |
% 34.37/8.96 +-Applying beta-rule and splitting (3299), into two cases.
% 34.37/8.96 |-Branch one:
% 34.37/8.96 | (3300) unit1 = e11
% 34.37/8.96 |
% 34.37/8.96 | From (3300) and (205) follows:
% 34.37/8.96 | (3301) op1(e11, e13) = e13
% 34.37/8.96 |
% 34.37/8.96 | From (3300) and (246) follows:
% 34.37/8.96 | (3485) op1(e11, e11) = e11
% 34.37/8.96 |
% 34.37/8.96 | From (3300) and (207) follows:
% 34.37/8.96 | (3614) op1(e10, e11) = e10
% 34.37/8.96 |
% 34.37/8.96 | Instantiating formula (291) with e11, e13, e13, e12 and discharging atoms op1(e11, e13) = e13, op1(e11, e13) = e12, yields:
% 34.37/8.96 | (3254) e13 = e12
% 34.37/8.96 |
% 34.37/8.96 | Instantiating formula (291) with e11, e11, e11, e13 and discharging atoms op1(e11, e11) = e13, op1(e11, e11) = e11, yields:
% 34.37/8.96 | (3228) e13 = e11
% 34.37/8.96 |
% 34.37/8.96 | Instantiating formula (291) with e10, e11, e10, e12 and discharging atoms op1(e10, e11) = e12, op1(e10, e11) = e10, yields:
% 34.37/8.96 | (3288) e12 = e10
% 34.37/8.96 |
% 34.37/8.96 | Combining equations (3254,3228) yields a new equation:
% 34.37/8.96 | (3221) e12 = e11
% 34.37/8.96 |
% 34.37/8.96 | Simplifying 3221 yields:
% 34.37/8.96 | (3222) e12 = e11
% 34.37/8.96 |
% 34.37/8.96 | Combining equations (3222,3288) yields a new equation:
% 34.37/8.96 | (3205) e11 = e10
% 34.37/8.96 |
% 34.37/8.96 | Simplifying 3205 yields:
% 34.37/8.96 | (3206) e11 = e10
% 34.37/8.96 |
% 34.37/8.96 | Equations (3206) can reduce 138 to:
% 34.37/8.96 | (401) $false
% 34.37/8.96 |
% 34.37/8.96 |-The branch is then unsatisfiable
% 34.37/8.96 |-Branch two:
% 34.37/8.96 | (3312) ~ (unit1 = e11)
% 34.37/8.96 | (3313) unit1 = e10
% 34.37/8.96 |
% 34.37/8.96 | From (3313) and (92) follows:
% 34.37/8.96 | (3314) op1(e10, e11) = e11
% 34.37/8.96 |
% 34.37/8.96 | Instantiating formula (291) with e10, e11, e11, e12 and discharging atoms op1(e10, e11) = e12, op1(e10, e11) = e11, yields:
% 34.37/8.96 | (3222) e12 = e11
% 34.37/8.96 |
% 34.37/8.96 | Equations (3222) can reduce 208 to:
% 34.37/8.96 | (401) $false
% 34.37/8.96 |
% 34.37/8.96 |-The branch is then unsatisfiable
% 34.37/8.96 |-Branch two:
% 34.37/8.96 | (3332) ~ (all_0_121_121 = e12)
% 34.37/8.96 | (3333) all_0_121_121 = e11 | all_0_121_121 = e10
% 34.37/8.96 |
% 34.37/8.96 +-Applying beta-rule and splitting (3333), into two cases.
% 34.37/8.96 |-Branch one:
% 34.37/8.96 | (3345) all_0_121_121 = e11
% 34.37/8.96 |
% 34.37/8.97 | Equations (3345) can reduce 3233 to:
% 34.37/8.97 | (401) $false
% 34.37/8.97 |
% 34.37/8.97 |-The branch is then unsatisfiable
% 34.37/8.97 |-Branch two:
% 34.37/8.97 | (3233) ~ (all_0_121_121 = e11)
% 34.37/8.97 | (3438) all_0_121_121 = e10
% 34.37/8.97 |
% 34.37/8.97 | Equations (3438) can reduce 3536 to:
% 34.37/8.97 | (401) $false
% 34.37/8.97 |
% 34.37/8.97 |-The branch is then unsatisfiable
% 34.37/8.97 |-Branch two:
% 34.37/8.97 | (3347) ~ (all_0_112_112 = e12)
% 34.37/8.97 | (3348) all_0_113_113 = e12 | all_0_114_114 = e12
% 34.37/8.97 |
% 34.37/8.97 +-Applying beta-rule and splitting (143), into two cases.
% 34.37/8.97 |-Branch one:
% 34.37/8.97 | (3214) all_0_112_112 = e12
% 34.37/8.97 |
% 34.37/8.97 | Equations (3214) can reduce 3347 to:
% 34.37/8.97 | (401) $false
% 34.37/8.97 |
% 34.37/8.97 |-The branch is then unsatisfiable
% 34.37/8.97 |-Branch two:
% 34.37/8.97 | (3347) ~ (all_0_112_112 = e12)
% 34.37/8.97 | (3640) all_0_116_116 = e12 | all_0_120_120 = e12
% 34.37/8.97 |
% 34.37/8.97 +-Applying beta-rule and splitting (3348), into two cases.
% 34.37/8.97 |-Branch one:
% 34.37/8.97 | (3349) all_0_113_113 = e12
% 34.37/8.97 |
% 34.37/8.97 | Equations (3349) can reduce 177 to:
% 34.37/8.97 | (3217) ~ (e13 = e12)
% 34.37/8.97 |
% 34.37/8.97 | Simplifying 3217 yields:
% 34.37/8.97 | (76) ~ (e13 = e12)
% 34.37/8.97 |
% 34.37/8.97 | From (3349) and (328) follows:
% 34.37/8.97 | (3644) h2(e12) = all_0_56_56
% 34.37/8.97 |
% 34.37/8.97 +-Applying beta-rule and splitting (3640), into two cases.
% 34.37/8.97 |-Branch one:
% 34.37/8.97 | (3253) all_0_116_116 = e12
% 34.37/8.97 |
% 34.37/8.97 | Combining equations (3139,3253) yields a new equation:
% 34.37/8.97 | (3354) e13 = e12
% 34.37/8.97 |
% 34.37/8.97 | Simplifying 3354 yields:
% 34.37/8.97 | (3254) e13 = e12
% 34.37/8.97 |
% 34.37/8.97 | Equations (3254) can reduce 76 to:
% 34.37/8.97 | (401) $false
% 34.37/8.97 |
% 34.37/8.97 |-The branch is then unsatisfiable
% 34.37/8.97 |-Branch two:
% 34.37/8.97 | (3256) ~ (all_0_116_116 = e12)
% 34.37/8.97 | (3334) all_0_120_120 = e12
% 34.37/8.97 |
% 34.37/8.97 | Equations (3334) can reduce 94 to:
% 34.37/8.97 | (3347) ~ (all_0_112_112 = e12)
% 34.37/8.97 |
% 34.37/8.97 | Equations (3334) can reduce 333 to:
% 34.37/8.97 | (3652) ~ (all_0_121_121 = e12)
% 34.37/8.97 |
% 34.37/8.97 | Simplifying 3652 yields:
% 34.37/8.97 | (3332) ~ (all_0_121_121 = e12)
% 34.37/8.97 |
% 34.37/8.97 | From (3334) and (256) follows:
% 34.37/8.97 | (3654) h2(e12) = all_0_63_63
% 34.37/8.97 |
% 34.37/8.97 +-Applying beta-rule and splitting (282), into two cases.
% 34.37/8.97 |-Branch one:
% 34.37/8.97 | (3220) all_0_112_112 = e11
% 34.37/8.97 |
% 34.37/8.97 | Equations (3220) can reduce 3347 to:
% 34.37/8.97 | (3236) ~ (e12 = e11)
% 34.37/8.97 |
% 34.37/8.97 | Simplifying 3236 yields:
% 34.37/8.97 | (208) ~ (e12 = e11)
% 34.37/8.97 |
% 34.37/8.97 | From (3220) and (261) follows:
% 34.37/8.97 | (3658) h2(e11) = all_0_55_55
% 34.37/8.97 |
% 34.37/8.97 +-Applying beta-rule and splitting (3409), into two cases.
% 34.37/8.97 |-Branch one:
% 34.37/8.97 | (3231) all_0_120_120 = e11
% 34.37/8.97 |
% 34.37/8.97 | Combining equations (3334,3231) yields a new equation:
% 34.37/8.97 | (3221) e12 = e11
% 34.37/8.97 |
% 34.37/8.97 | Simplifying 3221 yields:
% 34.37/8.97 | (3222) e12 = e11
% 34.37/8.97 |
% 34.37/8.97 | Equations (3222) can reduce 208 to:
% 34.37/8.97 | (401) $false
% 34.37/8.97 |
% 34.37/8.97 |-The branch is then unsatisfiable
% 34.37/8.97 |-Branch two:
% 34.37/8.97 | (3663) ~ (all_0_120_120 = e11)
% 34.37/8.97 | (3345) all_0_121_121 = e11
% 34.37/8.97 |
% 34.37/8.97 | From (3345) and (285) follows:
% 34.37/8.97 | (3665) h2(e11) = all_0_64_64
% 34.37/8.97 |
% 34.37/8.97 | Instantiating formula (140) with e12, all_0_56_56, e22 and discharging atoms h2(e12) = all_0_56_56, h2(e12) = e22, yields:
% 34.37/8.97 | (3666) all_0_56_56 = e22
% 34.37/8.97 |
% 34.37/8.97 | Instantiating formula (140) with e12, all_0_63_63, all_0_56_56 and discharging atoms h2(e12) = all_0_56_56, h2(e12) = all_0_63_63, yields:
% 34.37/8.97 | (3667) all_0_56_56 = all_0_63_63
% 34.37/8.97 |
% 34.37/8.97 | Instantiating formula (140) with e11, all_0_55_55, e21 and discharging atoms h2(e11) = all_0_55_55, h2(e11) = e21, yields:
% 34.37/8.97 | (3668) all_0_55_55 = e21
% 34.37/8.97 |
% 34.37/8.97 | Instantiating formula (140) with e11, all_0_64_64, all_0_55_55 and discharging atoms h2(e11) = all_0_55_55, h2(e11) = all_0_64_64, yields:
% 34.37/8.97 | (3669) all_0_55_55 = all_0_64_64
% 34.37/8.97 |
% 34.37/8.97 | Combining equations (3668,3669) yields a new equation:
% 34.37/8.97 | (3670) all_0_64_64 = e21
% 34.37/8.97 |
% 34.37/8.97 | Combining equations (3667,3666) yields a new equation:
% 34.37/8.97 | (3671) all_0_63_63 = e22
% 34.37/8.97 |
% 34.37/8.97 | Simplifying 3671 yields:
% 34.37/8.97 | (3672) all_0_63_63 = e22
% 34.37/8.97 |
% 34.37/8.97 | Combining equations (3670,3669) yields a new equation:
% 34.37/8.97 | (3668) all_0_55_55 = e21
% 34.37/8.97 |
% 34.37/8.97 +-Applying beta-rule and splitting (123), into two cases.
% 34.37/8.97 |-Branch one:
% 34.37/8.97 | (3674) ~ (all_0_54_54 = all_0_99_99)
% 34.37/8.97 |
% 34.37/8.97 | Equations (3385,447) can reduce 3674 to:
% 34.37/8.97 | (401) $false
% 34.37/8.97 |
% 34.37/8.97 |-The branch is then unsatisfiable
% 34.37/8.97 |-Branch two:
% 34.37/8.97 | (3676) all_0_54_54 = all_0_99_99
% 34.37/8.97 | (3677) ~ (all_0_55_55 = all_0_100_100) | ~ (all_0_56_56 = all_0_101_101) | ~ (all_0_57_57 = all_0_102_102) | ~ (all_0_58_58 = all_0_103_103) | ~ (all_0_59_59 = all_0_104_104) | ~ (all_0_60_60 = all_0_105_105) | ~ (all_0_61_61 = all_0_106_106) | ~ (all_0_62_62 = all_0_107_107) | ~ (all_0_63_63 = all_0_108_108) | ~ (all_0_64_64 = all_0_109_109) | ~ (all_0_65_65 = all_0_110_110)
% 34.43/8.97 |
% 34.43/8.97 +-Applying beta-rule and splitting (3677), into two cases.
% 34.43/8.97 |-Branch one:
% 34.43/8.97 | (3678) ~ (all_0_55_55 = all_0_100_100)
% 34.43/8.97 |
% 34.43/8.97 | Equations (3668,494) can reduce 3678 to:
% 34.43/8.97 | (401) $false
% 34.43/8.97 |
% 34.43/8.97 |-The branch is then unsatisfiable
% 34.43/8.97 |-Branch two:
% 34.43/8.97 | (3680) all_0_55_55 = all_0_100_100
% 34.43/8.97 | (3681) ~ (all_0_56_56 = all_0_101_101) | ~ (all_0_57_57 = all_0_102_102) | ~ (all_0_58_58 = all_0_103_103) | ~ (all_0_59_59 = all_0_104_104) | ~ (all_0_60_60 = all_0_105_105) | ~ (all_0_61_61 = all_0_106_106) | ~ (all_0_62_62 = all_0_107_107) | ~ (all_0_63_63 = all_0_108_108) | ~ (all_0_64_64 = all_0_109_109) | ~ (all_0_65_65 = all_0_110_110)
% 34.43/8.97 |
% 34.43/8.97 +-Applying beta-rule and splitting (3681), into two cases.
% 34.43/8.97 |-Branch one:
% 34.43/8.97 | (3682) ~ (all_0_56_56 = all_0_101_101)
% 34.43/8.97 |
% 34.43/8.97 | Equations (3666,540) can reduce 3682 to:
% 34.43/8.97 | (401) $false
% 34.43/8.97 |
% 34.43/8.97 |-The branch is then unsatisfiable
% 34.43/8.97 |-Branch two:
% 34.43/8.97 | (3684) all_0_56_56 = all_0_101_101
% 34.43/8.97 | (3685) ~ (all_0_57_57 = all_0_102_102) | ~ (all_0_58_58 = all_0_103_103) | ~ (all_0_59_59 = all_0_104_104) | ~ (all_0_60_60 = all_0_105_105) | ~ (all_0_61_61 = all_0_106_106) | ~ (all_0_62_62 = all_0_107_107) | ~ (all_0_63_63 = all_0_108_108) | ~ (all_0_64_64 = all_0_109_109) | ~ (all_0_65_65 = all_0_110_110)
% 34.43/8.97 |
% 34.43/8.97 +-Applying beta-rule and splitting (3685), into two cases.
% 34.43/8.97 |-Branch one:
% 34.43/8.97 | (3686) ~ (all_0_57_57 = all_0_102_102)
% 34.43/8.97 |
% 34.43/8.98 | Equations (3179,429) can reduce 3686 to:
% 34.43/8.98 | (401) $false
% 34.43/8.98 |
% 34.43/8.98 |-The branch is then unsatisfiable
% 34.43/8.98 |-Branch two:
% 34.43/8.98 | (3688) all_0_57_57 = all_0_102_102
% 34.43/8.98 | (3689) ~ (all_0_58_58 = all_0_103_103) | ~ (all_0_59_59 = all_0_104_104) | ~ (all_0_60_60 = all_0_105_105) | ~ (all_0_61_61 = all_0_106_106) | ~ (all_0_62_62 = all_0_107_107) | ~ (all_0_63_63 = all_0_108_108) | ~ (all_0_64_64 = all_0_109_109) | ~ (all_0_65_65 = all_0_110_110)
% 34.43/8.98 |
% 34.43/8.98 +-Applying beta-rule and splitting (3689), into two cases.
% 34.43/8.98 |-Branch one:
% 34.43/8.98 | (3690) ~ (all_0_58_58 = all_0_103_103)
% 34.43/8.98 |
% 34.43/8.98 | Equations (3384,480) can reduce 3690 to:
% 34.43/8.98 | (401) $false
% 34.43/8.98 |
% 34.43/8.98 |-The branch is then unsatisfiable
% 34.43/8.98 |-Branch two:
% 34.43/8.98 | (3692) all_0_58_58 = all_0_103_103
% 34.43/8.98 | (3693) ~ (all_0_59_59 = all_0_104_104) | ~ (all_0_60_60 = all_0_105_105) | ~ (all_0_61_61 = all_0_106_106) | ~ (all_0_62_62 = all_0_107_107) | ~ (all_0_63_63 = all_0_108_108) | ~ (all_0_64_64 = all_0_109_109) | ~ (all_0_65_65 = all_0_110_110)
% 34.43/8.98 |
% 34.43/8.98 +-Applying beta-rule and splitting (3693), into two cases.
% 34.43/8.98 |-Branch one:
% 34.43/8.98 | (3694) ~ (all_0_59_59 = all_0_104_104)
% 34.43/8.98 |
% 34.43/8.98 | Equations (3149,1360) can reduce 3694 to:
% 34.43/8.98 | (401) $false
% 34.43/8.98 |
% 34.43/8.98 |-The branch is then unsatisfiable
% 34.43/8.98 |-Branch two:
% 34.43/8.98 | (3696) all_0_59_59 = all_0_104_104
% 34.43/8.98 | (3697) ~ (all_0_60_60 = all_0_105_105) | ~ (all_0_61_61 = all_0_106_106) | ~ (all_0_62_62 = all_0_107_107) | ~ (all_0_63_63 = all_0_108_108) | ~ (all_0_64_64 = all_0_109_109) | ~ (all_0_65_65 = all_0_110_110)
% 34.43/8.98 |
% 34.43/8.98 +-Applying beta-rule and splitting (3697), into two cases.
% 34.43/8.98 |-Branch one:
% 34.43/8.98 | (3698) ~ (all_0_60_60 = all_0_105_105)
% 34.43/8.98 |
% 34.43/8.98 | Equations (3563,986) can reduce 3698 to:
% 34.43/8.98 | (401) $false
% 34.43/8.98 |
% 34.43/8.98 |-The branch is then unsatisfiable
% 34.43/8.98 |-Branch two:
% 34.43/8.98 | (3700) all_0_60_60 = all_0_105_105
% 34.43/8.98 | (3701) ~ (all_0_61_61 = all_0_106_106) | ~ (all_0_62_62 = all_0_107_107) | ~ (all_0_63_63 = all_0_108_108) | ~ (all_0_64_64 = all_0_109_109) | ~ (all_0_65_65 = all_0_110_110)
% 34.43/8.98 |
% 34.43/8.98 +-Applying beta-rule and splitting (3701), into two cases.
% 34.43/8.98 |-Branch one:
% 34.43/8.98 | (3702) ~ (all_0_61_61 = all_0_106_106)
% 34.43/8.98 |
% 34.43/8.98 | Equations (3562,683) can reduce 3702 to:
% 34.43/8.98 | (401) $false
% 34.43/8.98 |
% 34.43/8.98 |-The branch is then unsatisfiable
% 34.43/8.98 |-Branch two:
% 34.43/8.98 | (3704) all_0_61_61 = all_0_106_106
% 34.43/8.98 | (3705) ~ (all_0_62_62 = all_0_107_107) | ~ (all_0_63_63 = all_0_108_108) | ~ (all_0_64_64 = all_0_109_109) | ~ (all_0_65_65 = all_0_110_110)
% 34.43/8.98 |
% 34.43/8.98 +-Applying beta-rule and splitting (3705), into two cases.
% 34.43/8.98 |-Branch one:
% 34.43/8.98 | (3706) ~ (all_0_62_62 = all_0_107_107)
% 34.43/8.98 |
% 34.43/8.98 | Equations (3181,425) can reduce 3706 to:
% 34.43/8.98 | (401) $false
% 34.43/8.98 |
% 34.43/8.98 |-The branch is then unsatisfiable
% 34.43/8.98 |-Branch two:
% 34.43/8.98 | (3708) all_0_62_62 = all_0_107_107
% 34.43/8.98 | (3709) ~ (all_0_63_63 = all_0_108_108) | ~ (all_0_64_64 = all_0_109_109) | ~ (all_0_65_65 = all_0_110_110)
% 34.43/8.98 |
% 34.43/8.98 +-Applying beta-rule and splitting (3709), into two cases.
% 34.43/8.98 |-Branch one:
% 34.43/8.98 | (3710) ~ (all_0_63_63 = all_0_108_108)
% 34.43/8.98 |
% 34.43/8.98 | Equations (3672,470) can reduce 3710 to:
% 34.43/8.98 | (401) $false
% 34.43/8.98 |
% 34.43/8.98 |-The branch is then unsatisfiable
% 34.43/8.98 |-Branch two:
% 34.43/8.98 | (3712) all_0_63_63 = all_0_108_108
% 34.43/8.98 | (3713) ~ (all_0_64_64 = all_0_109_109) | ~ (all_0_65_65 = all_0_110_110)
% 34.43/8.98 |
% 34.43/8.98 +-Applying beta-rule and splitting (3713), into two cases.
% 34.43/8.98 |-Branch one:
% 34.43/8.98 | (3714) ~ (all_0_64_64 = all_0_109_109)
% 34.43/8.98 |
% 34.43/8.98 | Equations (3670,695) can reduce 3714 to:
% 34.43/8.98 | (401) $false
% 34.43/8.98 |
% 34.43/8.98 |-The branch is then unsatisfiable
% 34.43/8.98 |-Branch two:
% 34.43/8.98 | (3716) all_0_64_64 = all_0_109_109
% 34.43/8.98 | (3717) ~ (all_0_65_65 = all_0_110_110)
% 34.43/8.98 |
% 34.43/8.98 | Equations (3565,687) can reduce 3717 to:
% 34.43/8.98 | (401) $false
% 34.43/8.98 |
% 34.43/8.98 |-The branch is then unsatisfiable
% 34.43/8.98 |-Branch two:
% 34.43/8.98 | (3201) ~ (all_0_112_112 = e11)
% 34.43/8.98 | (3225) all_0_116_116 = e11 | all_0_120_120 = e11
% 34.43/8.98 |
% 34.43/8.98 +-Applying beta-rule and splitting (3409), into two cases.
% 34.43/8.98 |-Branch one:
% 34.43/8.98 | (3231) all_0_120_120 = e11
% 34.43/8.98 |
% 34.43/8.98 | Combining equations (3334,3231) yields a new equation:
% 34.43/8.98 | (3221) e12 = e11
% 34.43/8.98 |
% 34.43/8.98 | Simplifying 3221 yields:
% 34.43/8.98 | (3222) e12 = e11
% 34.43/8.98 |
% 34.43/8.98 | Equations (3222) can reduce 208 to:
% 34.43/8.98 | (401) $false
% 34.43/8.98 |
% 34.43/8.98 |-The branch is then unsatisfiable
% 34.43/8.98 |-Branch two:
% 34.43/8.98 | (3663) ~ (all_0_120_120 = e11)
% 34.43/8.98 | (3345) all_0_121_121 = e11
% 34.43/8.98 |
% 34.43/8.98 | Equations (3345) can reduce 3332 to:
% 34.43/8.98 | (3236) ~ (e12 = e11)
% 34.43/8.98 |
% 34.43/8.98 | Simplifying 3236 yields:
% 34.43/8.98 | (208) ~ (e12 = e11)
% 34.43/8.98 |
% 34.43/8.98 +-Applying beta-rule and splitting (3399), into two cases.
% 34.43/8.98 |-Branch one:
% 34.43/8.98 | (3220) all_0_112_112 = e11
% 34.43/8.98 |
% 34.43/8.98 | Equations (3220) can reduce 3201 to:
% 34.43/8.98 | (401) $false
% 34.43/8.98 |
% 34.43/8.98 |-The branch is then unsatisfiable
% 34.43/8.98 |-Branch two:
% 34.43/8.98 | (3201) ~ (all_0_112_112 = e11)
% 34.43/8.98 | (3240) all_0_113_113 = e11
% 34.43/8.98 |
% 34.43/8.98 | Combining equations (3349,3240) yields a new equation:
% 34.43/8.98 | (3221) e12 = e11
% 34.43/8.98 |
% 34.43/8.98 | Simplifying 3221 yields:
% 34.43/8.98 | (3222) e12 = e11
% 34.43/8.98 |
% 34.43/8.98 | Equations (3222) can reduce 208 to:
% 34.43/8.98 | (401) $false
% 34.43/8.98 |
% 34.43/8.98 |-The branch is then unsatisfiable
% 34.43/8.99 |-Branch two:
% 34.43/8.99 | (3352) ~ (all_0_113_113 = e12)
% 34.43/8.99 | (3353) all_0_114_114 = e12
% 34.43/8.99 |
% 34.43/8.99 | Combining equations (3353,3169) yields a new equation:
% 34.43/8.99 | (3254) e13 = e12
% 34.43/8.99 |
% 34.43/8.99 | Equations (3254) can reduce 76 to:
% 34.43/8.99 | (401) $false
% 34.43/8.99 |
% 34.43/8.99 |-The branch is then unsatisfiable
% 34.43/8.99 |-Branch two:
% 34.43/8.99 | (3208) ~ (all_0_111_111 = e10)
% 34.43/8.99 | (3276) all_0_115_115 = e10 | all_0_119_119 = e10
% 34.43/8.99 |
% 34.43/8.99 +-Applying beta-rule and splitting (3276), into two cases.
% 34.43/8.99 |-Branch one:
% 34.43/8.99 | (3277) all_0_115_115 = e10
% 34.43/8.99 |
% 34.43/8.99 | Combining equations (3364,3277) yields a new equation:
% 34.43/8.99 | (3205) e11 = e10
% 34.43/8.99 |
% 34.43/8.99 | Simplifying 3205 yields:
% 34.43/8.99 | (3206) e11 = e10
% 34.43/8.99 |
% 34.43/8.99 | Equations (3206) can reduce 138 to:
% 34.43/8.99 | (401) $false
% 34.43/8.99 |
% 34.43/8.99 |-The branch is then unsatisfiable
% 34.43/8.99 |-Branch two:
% 34.43/8.99 | (3317) ~ (all_0_115_115 = e10)
% 34.43/8.99 | (3328) all_0_119_119 = e10
% 34.43/8.99 |
% 34.43/8.99 | Combining equations (3328,3155) yields a new equation:
% 34.43/8.99 | (3304) e13 = e10
% 34.43/8.99 |
% 34.43/8.99 | Equations (3304) can reduce 134 to:
% 34.43/8.99 | (401) $false
% 34.43/8.99 |
% 34.43/8.99 |-The branch is then unsatisfiable
% 34.43/8.99 |-Branch two:
% 34.43/8.99 | (3750) ~ (all_0_115_115 = e11)
% 34.43/8.99 | (3404) all_0_119_119 = e11
% 34.43/8.99 |
% 34.43/8.99 | Combining equations (3404,3155) yields a new equation:
% 34.43/8.99 | (3228) e13 = e11
% 34.43/8.99 |
% 34.43/8.99 | Equations (3228) can reduce 34 to:
% 34.43/8.99 | (401) $false
% 34.43/8.99 |
% 34.43/8.99 |-The branch is then unsatisfiable
% 34.43/8.99 |-Branch two:
% 34.43/8.99 | (3754) ~ (all_0_119_119 = e13)
% 34.43/8.99 | (3755) all_0_120_120 = e13 | all_0_122_122 = e13
% 34.43/8.99 |
% 34.43/8.99 +-Applying beta-rule and splitting (3755), into two cases.
% 34.43/8.99 |-Branch one:
% 34.43/8.99 | (3183) all_0_120_120 = e13
% 34.43/8.99 |
% 34.43/8.99 | Equations (3183) can reduce 3145 to:
% 34.43/8.99 | (401) $false
% 34.43/8.99 |
% 34.43/8.99 |-The branch is then unsatisfiable
% 34.43/8.99 |-Branch two:
% 34.43/8.99 | (3145) ~ (all_0_120_120 = e13)
% 34.43/8.99 | (3195) all_0_122_122 = e13
% 34.43/8.99 |
% 34.43/8.99 | Equations (3195) can reduce 269 to:
% 34.43/8.99 | (3754) ~ (all_0_119_119 = e13)
% 34.43/8.99 |
% 34.43/8.99 +-Applying beta-rule and splitting (339), into two cases.
% 34.43/8.99 |-Branch one:
% 34.43/8.99 | (3162) all_0_111_111 = e13
% 34.43/8.99 |
% 34.43/8.99 +-Applying beta-rule and splitting (149), into two cases.
% 34.43/8.99 |-Branch one:
% 34.43/8.99 | (3156) ~ (all_0_111_111 = e13)
% 34.43/8.99 |
% 34.43/8.99 | Equations (3162) can reduce 3156 to:
% 34.43/8.99 | (401) $false
% 34.43/8.99 |
% 34.43/8.99 |-The branch is then unsatisfiable
% 34.43/8.99 |-Branch two:
% 34.43/8.99 | (3162) all_0_111_111 = e13
% 34.43/8.99 | (3765) ~ (all_0_116_116 = e13) | ~ (all_0_122_122 = e13)
% 34.43/8.99 |
% 34.43/8.99 +-Applying beta-rule and splitting (3765), into two cases.
% 34.43/8.99 |-Branch one:
% 34.43/8.99 | (3766) ~ (all_0_116_116 = e13)
% 34.43/8.99 |
% 34.43/8.99 | Equations (3139) can reduce 3766 to:
% 34.43/8.99 | (401) $false
% 34.43/8.99 |
% 34.43/8.99 |-The branch is then unsatisfiable
% 34.43/8.99 |-Branch two:
% 34.43/8.99 | (3139) all_0_116_116 = e13
% 34.43/8.99 | (3176) ~ (all_0_122_122 = e13)
% 34.43/8.99 |
% 34.43/8.99 | Equations (3195) can reduce 3176 to:
% 34.43/8.99 | (401) $false
% 34.43/8.99 |
% 34.43/8.99 |-The branch is then unsatisfiable
% 34.43/8.99 |-Branch two:
% 34.43/8.99 | (3156) ~ (all_0_111_111 = e13)
% 34.43/8.99 | (3772) all_0_115_115 = e13 | all_0_119_119 = e13
% 34.43/8.99 |
% 34.43/8.99 +-Applying beta-rule and splitting (3772), into two cases.
% 34.43/8.99 |-Branch one:
% 34.43/8.99 | (3151) all_0_115_115 = e13
% 34.43/8.99 |
% 34.43/8.99 | Equations (3151) can reduce 3141 to:
% 34.43/8.99 | (401) $false
% 34.43/8.99 |
% 34.43/8.99 |-The branch is then unsatisfiable
% 34.43/8.99 |-Branch two:
% 34.43/8.99 | (3141) ~ (all_0_115_115 = e13)
% 34.43/8.99 | (3155) all_0_119_119 = e13
% 34.43/8.99 |
% 34.43/8.99 | Equations (3155) can reduce 3754 to:
% 34.43/8.99 | (401) $false
% 34.43/8.99 |
% 34.43/8.99 |-The branch is then unsatisfiable
% 34.43/9.00 |-Branch two:
% 34.43/9.00 | (3766) ~ (all_0_116_116 = e13)
% 34.43/9.00 | (3779) all_0_116_116 = e12 | all_0_116_116 = e11
% 34.43/9.00 |
% 34.43/9.00 +-Applying beta-rule and splitting (99), into two cases.
% 34.43/9.00 |-Branch one:
% 34.43/9.00 | (3151) all_0_115_115 = e13
% 34.43/9.00 |
% 34.43/9.00 | Equations (3151) can reduce 157 to:
% 34.43/9.00 | (3156) ~ (all_0_111_111 = e13)
% 34.43/9.00 |
% 34.43/9.00 | Equations (3151) can reduce 267 to:
% 34.43/9.00 | (3782) ~ (all_0_116_116 = e13)
% 34.43/9.00 |
% 34.43/9.00 | Simplifying 3782 yields:
% 34.43/9.00 | (3766) ~ (all_0_116_116 = e13)
% 34.43/9.00 |
% 34.43/9.00 | Equations (3151) can reduce 127 to:
% 34.43/9.00 | (3142) ~ (all_0_117_117 = e13)
% 34.43/9.00 |
% 34.43/9.00 | Simplifying 3142 yields:
% 34.43/9.00 | (29) ~ (all_0_117_117 = e13)
% 34.43/9.00 |
% 34.43/9.00 | Equations (3151) can reduce 101 to:
% 34.43/9.00 | (3173) ~ (all_0_118_118 = e13)
% 34.43/9.00 |
% 34.43/9.00 | Simplifying 3173 yields:
% 34.43/9.00 | (3174) ~ (all_0_118_118 = e13)
% 34.43/9.00 |
% 34.43/9.00 | Equations (3151) can reduce 300 to:
% 34.43/9.00 | (76) ~ (e13 = e12)
% 34.43/9.00 |
% 34.43/9.00 | From (3151) and (301) follows:
% 34.43/9.00 | (3599) op1(e12, e13) = e13
% 34.43/9.00 |
% 34.43/9.00 +-Applying beta-rule and splitting (71), into two cases.
% 34.43/9.00 |-Branch one:
% 34.43/9.00 | (3166) all_0_112_112 = e13
% 34.43/9.00 |
% 34.43/9.00 | Equations (3166) can reduce 9 to:
% 34.43/9.00 | (3156) ~ (all_0_111_111 = e13)
% 34.43/9.00 |
% 34.43/9.00 | Equations (3166) can reduce 248 to:
% 34.43/9.00 | (3792) ~ (all_0_113_113 = e13)
% 34.43/9.00 |
% 34.43/9.00 | Simplifying 3792 yields:
% 34.43/9.00 | (177) ~ (all_0_113_113 = e13)
% 34.43/9.00 |
% 34.43/9.00 | Equations (3166) can reduce 356 to:
% 34.43/9.00 | (3794) ~ (all_0_114_114 = e13)
% 34.43/9.00 |
% 34.43/9.00 | Simplifying 3794 yields:
% 34.43/9.00 | (3795) ~ (all_0_114_114 = e13)
% 34.43/9.00 |
% 34.43/9.00 | Equations (3166) can reduce 104 to:
% 34.43/9.00 | (134) ~ (e13 = e10)
% 34.43/9.00 |
% 34.43/9.00 +-Applying beta-rule and splitting (232), into two cases.
% 34.43/9.00 |-Branch one:
% 34.43/9.00 | (3169) all_0_114_114 = e13
% 34.43/9.00 |
% 34.43/9.00 | Equations (3169) can reduce 3795 to:
% 34.43/9.00 | (401) $false
% 34.43/9.00 |
% 34.43/9.00 |-The branch is then unsatisfiable
% 34.43/9.00 |-Branch two:
% 34.43/9.00 | (3795) ~ (all_0_114_114 = e13)
% 34.43/9.00 | (3800) all_0_118_118 = e13 | all_0_122_122 = e13
% 34.43/9.00 |
% 34.43/9.00 +-Applying beta-rule and splitting (3800), into two cases.
% 34.43/9.00 |-Branch one:
% 34.43/9.00 | (3801) all_0_118_118 = e13
% 34.43/9.00 |
% 34.43/9.00 | Equations (3801) can reduce 3174 to:
% 34.43/9.00 | (401) $false
% 34.43/9.00 |
% 34.43/9.00 |-The branch is then unsatisfiable
% 34.43/9.00 |-Branch two:
% 34.43/9.00 | (3174) ~ (all_0_118_118 = e13)
% 34.43/9.00 | (3195) all_0_122_122 = e13
% 34.43/9.00 |
% 34.43/9.00 | Equations (3195) can reduce 10 to:
% 34.43/9.00 | (3795) ~ (all_0_114_114 = e13)
% 34.43/9.00 |
% 34.43/9.00 | Equations (3195) can reduce 286 to:
% 34.43/9.00 | (3174) ~ (all_0_118_118 = e13)
% 34.43/9.00 |
% 34.43/9.00 | Equations (3195) can reduce 269 to:
% 34.43/9.00 | (3754) ~ (all_0_119_119 = e13)
% 34.43/9.00 |
% 34.43/9.00 | Equations (3195) can reduce 262 to:
% 34.43/9.00 | (3145) ~ (all_0_120_120 = e13)
% 34.43/9.00 |
% 34.43/9.00 | Equations (3195) can reduce 297 to:
% 34.43/9.00 | (204) ~ (all_0_121_121 = e13)
% 34.43/9.00 |
% 34.43/9.00 | Equations (3195) can reduce 147 to:
% 34.43/9.00 | (34) ~ (e13 = e11)
% 34.43/9.00 |
% 34.43/9.00 | From (3195) and (6) follows:
% 34.43/9.00 | (3811) op1(e10, e10) = e13
% 34.43/9.00 |
% 34.43/9.00 +-Applying beta-rule and splitting (66), into two cases.
% 34.43/9.00 |-Branch one:
% 34.43/9.00 | (3155) all_0_119_119 = e13
% 34.43/9.00 |
% 34.43/9.00 | Equations (3155) can reduce 3754 to:
% 34.43/9.00 | (401) $false
% 34.43/9.00 |
% 34.43/9.00 |-The branch is then unsatisfiable
% 34.43/9.00 |-Branch two:
% 34.43/9.00 | (3754) ~ (all_0_119_119 = e13)
% 34.43/9.00 | (3815) all_0_119_119 = e11 | all_0_119_119 = e10
% 34.43/9.00 |
% 34.43/9.00 +-Applying beta-rule and splitting (225), into two cases.
% 34.43/9.00 |-Branch one:
% 34.43/9.00 | (3801) all_0_118_118 = e13
% 34.43/9.00 |
% 34.43/9.00 | Equations (3801) can reduce 3174 to:
% 34.43/9.00 | (401) $false
% 34.43/9.00 |
% 34.43/9.00 |-The branch is then unsatisfiable
% 34.43/9.00 |-Branch two:
% 34.43/9.00 | (3174) ~ (all_0_118_118 = e13)
% 34.43/9.00 | (3819) all_0_118_118 = e12 | all_0_118_118 = e10
% 34.43/9.00 |
% 34.43/9.00 +-Applying beta-rule and splitting (153), into two cases.
% 34.43/9.00 |-Branch one:
% 34.43/9.00 | (3162) all_0_111_111 = e13
% 34.43/9.00 |
% 34.43/9.00 | Equations (3162) can reduce 3156 to:
% 34.43/9.00 | (401) $false
% 34.43/9.00 |
% 34.43/9.00 |-The branch is then unsatisfiable
% 34.43/9.00 |-Branch two:
% 34.43/9.00 | (3156) ~ (all_0_111_111 = e13)
% 34.43/9.00 | (3190) all_0_111_111 = e11 | all_0_111_111 = e10
% 34.43/9.00 |
% 34.43/9.00 +-Applying beta-rule and splitting (73), into two cases.
% 34.43/9.00 |-Branch one:
% 34.43/9.00 | (3169) all_0_114_114 = e13
% 34.43/9.00 |
% 34.43/9.00 | Equations (3169) can reduce 3795 to:
% 34.43/9.00 | (401) $false
% 34.43/9.00 |
% 34.43/9.00 |-The branch is then unsatisfiable
% 34.43/9.00 |-Branch two:
% 34.43/9.00 | (3795) ~ (all_0_114_114 = e13)
% 34.43/9.00 | (3827) all_0_114_114 = e12 | all_0_114_114 = e10
% 34.43/9.00 |
% 34.43/9.00 +-Applying beta-rule and splitting (284), into two cases.
% 34.43/9.00 |-Branch one:
% 34.43/9.00 | (3183) all_0_120_120 = e13
% 34.43/9.00 |
% 34.43/9.00 | Equations (3183) can reduce 3145 to:
% 34.43/9.00 | (401) $false
% 34.43/9.00 |
% 34.43/9.00 |-The branch is then unsatisfiable
% 34.43/9.00 |-Branch two:
% 34.43/9.00 | (3145) ~ (all_0_120_120 = e13)
% 34.43/9.00 | (3186) all_0_120_120 = e12 | all_0_120_120 = e11
% 34.43/9.00 |
% 34.43/9.00 +-Applying beta-rule and splitting (174), into two cases.
% 34.43/9.00 |-Branch one:
% 34.43/9.00 | (3199) all_0_111_111 = e11
% 34.43/9.00 |
% 34.43/9.00 | Equations (3199) can reduce 198 to:
% 34.43/9.00 | (3833) ~ (all_0_113_113 = e11)
% 34.43/9.00 |
% 34.43/9.00 | Simplifying 3833 yields:
% 34.43/9.00 | (3244) ~ (all_0_113_113 = e11)
% 34.43/9.00 |
% 34.43/9.00 | Equations (3199) can reduce 273 to:
% 34.43/9.00 | (3835) ~ (all_0_114_114 = e11)
% 34.43/9.00 |
% 34.43/9.00 | Simplifying 3835 yields:
% 34.43/9.00 | (55) ~ (all_0_114_114 = e11)
% 34.43/9.00 |
% 34.43/9.00 | Equations (3199) can reduce 14 to:
% 34.43/9.00 | (3837) ~ (all_0_119_119 = e11)
% 34.43/9.00 |
% 34.43/9.00 | Simplifying 3837 yields:
% 34.43/9.00 | (3408) ~ (all_0_119_119 = e11)
% 34.43/9.00 |
% 34.43/9.00 | Equations (3199) can reduce 3156 to:
% 34.43/9.00 | (3202) ~ (e13 = e11)
% 34.43/9.00 |
% 34.43/9.00 | Simplifying 3202 yields:
% 34.43/9.00 | (34) ~ (e13 = e11)
% 34.43/9.00 |
% 34.43/9.00 | From (3199) and (255) follows:
% 34.43/9.00 | (3841) op1(e13, e13) = e11
% 34.43/9.00 |
% 34.43/9.00 +-Applying beta-rule and splitting (3815), into two cases.
% 34.43/9.00 |-Branch one:
% 34.43/9.00 | (3404) all_0_119_119 = e11
% 34.43/9.00 |
% 34.43/9.00 | Equations (3404) can reduce 3408 to:
% 34.43/9.00 | (401) $false
% 34.43/9.00 |
% 34.43/9.00 |-The branch is then unsatisfiable
% 34.43/9.00 |-Branch two:
% 34.43/9.00 | (3408) ~ (all_0_119_119 = e11)
% 34.43/9.00 | (3328) all_0_119_119 = e10
% 34.43/9.01 |
% 34.43/9.01 | Equations (3328) can reduce 60 to:
% 34.43/9.01 | (3459) ~ (e12 = e10)
% 34.43/9.01 |
% 34.43/9.01 | Simplifying 3459 yields:
% 34.43/9.01 | (159) ~ (e12 = e10)
% 34.43/9.01 |
% 34.43/9.01 +-Applying beta-rule and splitting (243), into two cases.
% 34.43/9.01 |-Branch one:
% 34.43/9.01 | (3349) all_0_113_113 = e12
% 34.43/9.01 |
% 34.43/9.01 | Equations (3349) can reduce 25 to:
% 34.43/9.01 | (3849) ~ (all_0_114_114 = e12)
% 34.43/9.01 |
% 34.43/9.01 | Simplifying 3849 yields:
% 34.43/9.01 | (3448) ~ (all_0_114_114 = e12)
% 34.43/9.01 |
% 34.43/9.01 | Equations (3349) can reduce 139 to:
% 34.43/9.01 | (3652) ~ (all_0_121_121 = e12)
% 34.43/9.01 |
% 34.43/9.01 | Simplifying 3652 yields:
% 34.43/9.01 | (3332) ~ (all_0_121_121 = e12)
% 34.43/9.01 |
% 34.43/9.01 | Equations (3349) can reduce 177 to:
% 34.43/9.01 | (3217) ~ (e13 = e12)
% 34.43/9.01 |
% 34.43/9.01 | Simplifying 3217 yields:
% 34.43/9.01 | (76) ~ (e13 = e12)
% 34.43/9.01 |
% 34.43/9.01 +-Applying beta-rule and splitting (72), into two cases.
% 34.43/9.01 |-Branch one:
% 34.43/9.01 | (3210) all_0_113_113 = e10
% 34.43/9.01 |
% 34.43/9.01 | Combining equations (3349,3210) yields a new equation:
% 34.43/9.01 | (3307) e12 = e10
% 34.43/9.01 |
% 34.43/9.01 | Simplifying 3307 yields:
% 34.43/9.01 | (3288) e12 = e10
% 34.43/9.01 |
% 34.43/9.01 | Equations (3288) can reduce 159 to:
% 34.43/9.01 | (401) $false
% 34.43/9.01 |
% 34.43/9.01 |-The branch is then unsatisfiable
% 34.43/9.01 |-Branch two:
% 34.43/9.01 | (3357) ~ (all_0_113_113 = e10)
% 34.43/9.01 | (3403) all_0_117_117 = e10 | all_0_121_121 = e10
% 34.43/9.01 |
% 34.43/9.01 +-Applying beta-rule and splitting (325), into two cases.
% 34.43/9.01 |-Branch one:
% 34.43/9.01 | (3334) all_0_120_120 = e12
% 34.43/9.01 |
% 34.43/9.01 | Equations (3334) can reduce 294 to:
% 34.43/9.01 | (3256) ~ (all_0_116_116 = e12)
% 34.43/9.01 |
% 34.43/9.01 | From (3334) and (70) follows:
% 34.43/9.01 | (3497) op1(e10, e12) = e12
% 34.43/9.01 |
% 34.43/9.01 +-Applying beta-rule and splitting (3779), into two cases.
% 34.43/9.01 |-Branch one:
% 34.43/9.01 | (3253) all_0_116_116 = e12
% 34.43/9.01 |
% 34.43/9.01 | Equations (3253) can reduce 3256 to:
% 34.43/9.01 | (401) $false
% 34.43/9.01 |
% 34.43/9.01 |-The branch is then unsatisfiable
% 34.43/9.01 |-Branch two:
% 34.43/9.01 | (3256) ~ (all_0_116_116 = e12)
% 34.43/9.01 | (3226) all_0_116_116 = e11
% 34.43/9.01 |
% 34.43/9.01 | Equations (3226) can reduce 95 to:
% 34.43/9.01 | (3366) ~ (all_0_117_117 = e11)
% 34.43/9.01 |
% 34.43/9.01 | Simplifying 3366 yields:
% 34.43/9.01 | (3344) ~ (all_0_117_117 = e11)
% 34.43/9.01 |
% 34.43/9.01 | Equations (3226) can reduce 336 to:
% 34.43/9.01 | (3247) ~ (all_0_118_118 = e11)
% 34.43/9.01 |
% 34.43/9.01 | Simplifying 3247 yields:
% 34.43/9.01 | (164) ~ (all_0_118_118 = e11)
% 34.43/9.01 |
% 34.43/9.01 | Equations (3226) can reduce 3256 to:
% 34.43/9.01 | (3236) ~ (e12 = e11)
% 34.43/9.01 |
% 34.43/9.01 | Simplifying 3236 yields:
% 34.43/9.01 | (208) ~ (e12 = e11)
% 34.43/9.01 |
% 34.43/9.01 | From (3226) and (226) follows:
% 34.43/9.01 | (3874) op1(e12, e12) = e11
% 34.43/9.01 |
% 34.43/9.01 +-Applying beta-rule and splitting (133), into two cases.
% 34.43/9.01 |-Branch one:
% 34.43/9.01 | (3240) all_0_113_113 = e11
% 34.43/9.01 |
% 34.43/9.01 | Combining equations (3349,3240) yields a new equation:
% 34.43/9.01 | (3221) e12 = e11
% 34.43/9.01 |
% 34.43/9.01 | Simplifying 3221 yields:
% 34.43/9.01 | (3222) e12 = e11
% 34.43/9.01 |
% 34.43/9.01 | Equations (3222) can reduce 208 to:
% 34.43/9.01 | (401) $false
% 34.43/9.01 |
% 34.43/9.01 |-The branch is then unsatisfiable
% 34.43/9.01 |-Branch two:
% 34.43/9.01 | (3244) ~ (all_0_113_113 = e11)
% 34.43/9.01 | (3245) all_0_117_117 = e11 | all_0_121_121 = e11
% 34.43/9.01 |
% 34.43/9.01 +-Applying beta-rule and splitting (3245), into two cases.
% 34.43/9.01 |-Branch one:
% 34.43/9.01 | (3246) all_0_117_117 = e11
% 34.43/9.01 |
% 34.43/9.01 | Equations (3246) can reduce 3344 to:
% 34.43/9.01 | (401) $false
% 34.43/9.01 |
% 34.43/9.01 |-The branch is then unsatisfiable
% 34.43/9.01 |-Branch two:
% 34.43/9.01 | (3344) ~ (all_0_117_117 = e11)
% 34.43/9.01 | (3345) all_0_121_121 = e11
% 34.43/9.01 |
% 34.43/9.01 | Equations (3345) can reduce 126 to:
% 34.43/9.01 | (3344) ~ (all_0_117_117 = e11)
% 34.43/9.01 |
% 34.43/9.01 +-Applying beta-rule and splitting (3827), into two cases.
% 34.43/9.01 |-Branch one:
% 34.43/9.01 | (3353) all_0_114_114 = e12
% 34.43/9.01 |
% 34.43/9.01 | Equations (3353) can reduce 3448 to:
% 34.43/9.01 | (401) $false
% 34.43/9.01 |
% 34.43/9.01 |-The branch is then unsatisfiable
% 34.43/9.01 |-Branch two:
% 34.43/9.01 | (3448) ~ (all_0_114_114 = e12)
% 34.43/9.01 | (3358) all_0_114_114 = e10
% 34.43/9.01 |
% 34.43/9.01 | Equations (3358) can reduce 249 to:
% 34.43/9.01 | (3890) ~ (all_0_118_118 = e10)
% 34.43/9.01 |
% 34.43/9.01 | Simplifying 3890 yields:
% 34.43/9.01 | (3503) ~ (all_0_118_118 = e10)
% 34.43/9.01 |
% 34.43/9.01 | Equations (3358) can reduce 55 to:
% 34.43/9.01 | (3283) ~ (e11 = e10)
% 34.43/9.01 |
% 34.43/9.01 | Simplifying 3283 yields:
% 34.43/9.01 | (138) ~ (e11 = e10)
% 34.43/9.01 |
% 34.43/9.01 +-Applying beta-rule and splitting (3819), into two cases.
% 34.43/9.01 |-Branch one:
% 34.43/9.01 | (3263) all_0_118_118 = e12
% 34.43/9.01 |
% 34.43/9.01 | Equations (3263) can reduce 164 to:
% 34.43/9.01 | (208) ~ (e12 = e11)
% 34.43/9.01 |
% 34.43/9.01 +-Applying beta-rule and splitting (3403), into two cases.
% 34.43/9.01 |-Branch one:
% 34.43/9.01 | (3433) all_0_117_117 = e10
% 34.43/9.01 |
% 34.43/9.01 | Equations (3433) can reduce 3344 to:
% 34.43/9.01 | (3283) ~ (e11 = e10)
% 34.43/9.01 |
% 34.43/9.01 | Simplifying 3283 yields:
% 34.43/9.01 | (138) ~ (e11 = e10)
% 34.43/9.01 |
% 34.43/9.01 +-Applying beta-rule and splitting (272), into two cases.
% 34.43/9.01 |-Branch one:
% 34.43/9.01 | (3285) unit1 = e13
% 34.43/9.01 |
% 34.43/9.01 | From (3285) and (206) follows:
% 34.43/9.01 | (3900) op1(e13, e13) = e13
% 34.43/9.01 |
% 34.43/9.01 | From (3285) and (136) follows:
% 34.43/9.01 | (3286) op1(e12, e13) = e12
% 34.43/9.01 |
% 34.43/9.01 | Instantiating formula (291) with e13, e13, e13, e11 and discharging atoms op1(e13, e13) = e13, op1(e13, e13) = e11, yields:
% 34.43/9.01 | (3228) e13 = e11
% 34.43/9.01 |
% 34.43/9.01 | Instantiating formula (291) with e12, e13, e12, e13 and discharging atoms op1(e12, e13) = e13, op1(e12, e13) = e12, yields:
% 34.43/9.01 | (3254) e13 = e12
% 34.43/9.01 |
% 34.43/9.01 | Combining equations (3254,3228) yields a new equation:
% 34.43/9.01 | (3221) e12 = e11
% 34.43/9.01 |
% 34.43/9.01 | Simplifying 3221 yields:
% 34.43/9.01 | (3222) e12 = e11
% 34.43/9.01 |
% 34.43/9.01 | Equations (3222) can reduce 208 to:
% 34.43/9.01 | (401) $false
% 34.43/9.01 |
% 34.43/9.01 |-The branch is then unsatisfiable
% 34.43/9.01 |-Branch two:
% 34.43/9.01 | (3292) ~ (unit1 = e13)
% 34.43/9.01 | (3293) unit1 = e12 | unit1 = e11 | unit1 = e10
% 34.43/9.01 |
% 34.43/9.01 +-Applying beta-rule and splitting (3293), into two cases.
% 34.43/9.01 |-Branch one:
% 34.43/9.01 | (3294) unit1 = e12
% 34.43/9.01 |
% 34.43/9.01 | From (3294) and (136) follows:
% 34.43/9.01 | (3601) op1(e12, e12) = e12
% 34.43/9.01 |
% 34.43/9.01 | From (3294) and (207) follows:
% 34.43/9.02 | (3295) op1(e10, e12) = e10
% 34.43/9.02 |
% 34.43/9.02 | Instantiating formula (291) with e12, e12, e12, e11 and discharging atoms op1(e12, e12) = e12, op1(e12, e12) = e11, yields:
% 34.43/9.02 | (3222) e12 = e11
% 34.43/9.02 |
% 34.43/9.02 | Instantiating formula (291) with e10, e12, e10, e12 and discharging atoms op1(e10, e12) = e12, op1(e10, e12) = e10, yields:
% 34.43/9.02 | (3288) e12 = e10
% 34.43/9.02 |
% 34.43/9.02 | Combining equations (3288,3222) yields a new equation:
% 34.43/9.02 | (3206) e11 = e10
% 34.43/9.02 |
% 34.43/9.02 | Equations (3206) can reduce 138 to:
% 34.43/9.02 | (401) $false
% 34.43/9.02 |
% 34.43/9.02 |-The branch is then unsatisfiable
% 34.43/9.02 |-Branch two:
% 34.43/9.02 | (3298) ~ (unit1 = e12)
% 34.43/9.02 | (3299) unit1 = e11 | unit1 = e10
% 34.43/9.02 |
% 34.43/9.02 +-Applying beta-rule and splitting (3299), into two cases.
% 34.43/9.02 |-Branch one:
% 34.43/9.02 | (3300) unit1 = e11
% 34.43/9.02 |
% 34.43/9.02 | From (3300) and (205) follows:
% 34.43/9.02 | (3301) op1(e11, e13) = e13
% 34.43/9.02 |
% 34.43/9.02 | From (3300) and (362) follows:
% 34.43/9.02 | (3484) op1(e11, e12) = e12
% 34.43/9.02 |
% 34.43/9.02 | From (3300) and (246) follows:
% 34.43/9.02 | (3485) op1(e11, e11) = e11
% 34.43/9.02 |
% 34.43/9.02 | Instantiating formula (291) with e11, e13, e13, e12 and discharging atoms op1(e11, e13) = e13, op1(e11, e13) = e12, yields:
% 34.43/9.02 | (3254) e13 = e12
% 34.43/9.02 |
% 34.43/9.02 | Instantiating formula (291) with e11, e12, e12, e10 and discharging atoms op1(e11, e12) = e12, op1(e11, e12) = e10, yields:
% 34.43/9.02 | (3288) e12 = e10
% 34.43/9.02 |
% 34.43/9.02 | Instantiating formula (291) with e11, e11, e11, e13 and discharging atoms op1(e11, e11) = e13, op1(e11, e11) = e11, yields:
% 34.43/9.02 | (3228) e13 = e11
% 34.43/9.02 |
% 34.43/9.02 | Combining equations (3228,3254) yields a new equation:
% 34.43/9.02 | (3222) e12 = e11
% 34.43/9.02 |
% 34.43/9.02 | Combining equations (3222,3288) yields a new equation:
% 34.43/9.02 | (3205) e11 = e10
% 34.43/9.02 |
% 34.43/9.02 | Simplifying 3205 yields:
% 34.43/9.02 | (3206) e11 = e10
% 34.43/9.02 |
% 34.43/9.02 | Equations (3206) can reduce 138 to:
% 34.43/9.02 | (401) $false
% 34.43/9.02 |
% 34.43/9.02 |-The branch is then unsatisfiable
% 34.43/9.02 |-Branch two:
% 34.43/9.02 | (3312) ~ (unit1 = e11)
% 34.43/9.02 | (3313) unit1 = e10
% 34.43/9.02 |
% 34.43/9.02 | Equations (3313) can reduce 3292 to:
% 34.43/9.02 | (3323) ~ (e13 = e10)
% 34.43/9.02 |
% 34.43/9.02 | Simplifying 3323 yields:
% 34.43/9.02 | (134) ~ (e13 = e10)
% 34.43/9.02 |
% 34.43/9.02 | From (3313) and (207) follows:
% 34.43/9.02 | (3498) op1(e10, e10) = e10
% 34.43/9.02 |
% 34.43/9.02 | Instantiating formula (291) with e10, e10, e10, e13 and discharging atoms op1(e10, e10) = e13, op1(e10, e10) = e10, yields:
% 34.43/9.02 | (3304) e13 = e10
% 34.43/9.02 |
% 34.43/9.02 | Equations (3304) can reduce 134 to:
% 34.43/9.02 | (401) $false
% 34.43/9.02 |
% 34.43/9.02 |-The branch is then unsatisfiable
% 34.43/9.02 |-Branch two:
% 34.43/9.02 | (3212) ~ (all_0_117_117 = e10)
% 34.43/9.02 | (3438) all_0_121_121 = e10
% 34.43/9.02 |
% 34.43/9.02 | Combining equations (3438,3345) yields a new equation:
% 34.43/9.02 | (3206) e11 = e10
% 34.43/9.02 |
% 34.43/9.02 | Equations (3206) can reduce 138 to:
% 34.43/9.02 | (401) $false
% 34.43/9.02 |
% 34.43/9.02 |-The branch is then unsatisfiable
% 34.43/9.02 |-Branch two:
% 34.43/9.02 | (3419) ~ (all_0_118_118 = e12)
% 34.43/9.02 | (3458) all_0_118_118 = e10
% 34.43/9.02 |
% 34.43/9.02 | Equations (3458) can reduce 3503 to:
% 34.43/9.02 | (401) $false
% 34.43/9.02 |
% 34.43/9.02 |-The branch is then unsatisfiable
% 34.43/9.02 |-Branch two:
% 34.43/9.02 | (3216) ~ (all_0_120_120 = e12)
% 34.43/9.02 | (3338) all_0_121_121 = e12 | all_0_122_122 = e12
% 34.43/9.02 |
% 34.43/9.02 +-Applying beta-rule and splitting (51), into two cases.
% 34.43/9.02 |-Branch one:
% 34.43/9.02 | (3267) all_0_121_121 = e12
% 34.43/9.02 |
% 34.43/9.02 | Equations (3267) can reduce 3332 to:
% 34.43/9.02 | (401) $false
% 34.43/9.02 |
% 34.43/9.02 |-The branch is then unsatisfiable
% 34.43/9.02 |-Branch two:
% 34.43/9.02 | (3332) ~ (all_0_121_121 = e12)
% 34.43/9.02 | (3333) all_0_121_121 = e11 | all_0_121_121 = e10
% 34.43/9.02 |
% 34.43/9.02 +-Applying beta-rule and splitting (143), into two cases.
% 34.43/9.02 |-Branch one:
% 34.43/9.02 | (3214) all_0_112_112 = e12
% 34.43/9.02 |
% 34.43/9.02 | Combining equations (3214,3166) yields a new equation:
% 34.43/9.02 | (3254) e13 = e12
% 34.43/9.02 |
% 34.43/9.02 | Equations (3254) can reduce 76 to:
% 34.43/9.02 | (401) $false
% 34.43/9.02 |
% 34.43/9.02 |-The branch is then unsatisfiable
% 34.43/9.02 |-Branch two:
% 34.43/9.02 | (3347) ~ (all_0_112_112 = e12)
% 34.43/9.02 | (3640) all_0_116_116 = e12 | all_0_120_120 = e12
% 34.43/9.02 |
% 34.43/9.02 | Equations (3166) can reduce 3347 to:
% 34.43/9.02 | (76) ~ (e13 = e12)
% 34.43/9.02 |
% 34.43/9.02 +-Applying beta-rule and splitting (3338), into two cases.
% 34.43/9.02 |-Branch one:
% 34.43/9.02 | (3267) all_0_121_121 = e12
% 34.43/9.02 |
% 34.43/9.02 | Equations (3267) can reduce 3332 to:
% 34.43/9.02 | (401) $false
% 34.43/9.02 |
% 34.43/9.02 |-The branch is then unsatisfiable
% 34.43/9.02 |-Branch two:
% 34.43/9.02 | (3332) ~ (all_0_121_121 = e12)
% 34.43/9.02 | (3279) all_0_122_122 = e12
% 34.43/9.02 |
% 34.43/9.02 | Combining equations (3279,3195) yields a new equation:
% 34.43/9.02 | (3254) e13 = e12
% 34.43/9.02 |
% 34.43/9.02 | Equations (3254) can reduce 76 to:
% 34.43/9.02 | (401) $false
% 34.43/9.02 |
% 34.43/9.02 |-The branch is then unsatisfiable
% 34.43/9.02 |-Branch two:
% 34.43/9.02 | (3352) ~ (all_0_113_113 = e12)
% 34.43/9.02 | (3962) all_0_113_113 = e11 | all_0_113_113 = e10
% 34.43/9.02 |
% 34.43/9.02 +-Applying beta-rule and splitting (270), into two cases.
% 34.43/9.02 |-Branch one:
% 34.43/9.02 | (3214) all_0_112_112 = e12
% 34.43/9.02 |
% 34.43/9.03 | Combining equations (3214,3166) yields a new equation:
% 34.43/9.03 | (3254) e13 = e12
% 34.43/9.03 |
% 34.43/9.03 | Equations (3254) can reduce 76 to:
% 34.43/9.03 | (401) $false
% 34.43/9.03 |
% 34.43/9.03 |-The branch is then unsatisfiable
% 34.43/9.03 |-Branch two:
% 34.43/9.03 | (3347) ~ (all_0_112_112 = e12)
% 34.43/9.03 | (3348) all_0_113_113 = e12 | all_0_114_114 = e12
% 34.43/9.03 |
% 34.43/9.03 +-Applying beta-rule and splitting (3962), into two cases.
% 34.43/9.03 |-Branch one:
% 34.43/9.03 | (3240) all_0_113_113 = e11
% 34.43/9.03 |
% 34.43/9.03 | Equations (3240) can reduce 3244 to:
% 34.43/9.03 | (401) $false
% 34.43/9.03 |
% 34.43/9.03 |-The branch is then unsatisfiable
% 34.43/9.03 |-Branch two:
% 34.43/9.03 | (3244) ~ (all_0_113_113 = e11)
% 34.43/9.03 | (3210) all_0_113_113 = e10
% 34.43/9.03 |
% 34.43/9.03 | Equations (3210) can reduce 3352 to:
% 34.43/9.03 | (3459) ~ (e12 = e10)
% 34.43/9.03 |
% 34.43/9.03 | Simplifying 3459 yields:
% 34.43/9.03 | (159) ~ (e12 = e10)
% 34.43/9.03 |
% 34.43/9.03 | From (3210) and (148) follows:
% 34.43/9.03 | (3213) op1(e13, e11) = e10
% 34.43/9.03 |
% 34.43/9.03 +-Applying beta-rule and splitting (3348), into two cases.
% 34.43/9.03 |-Branch one:
% 34.43/9.03 | (3349) all_0_113_113 = e12
% 34.43/9.03 |
% 34.43/9.03 | Combining equations (3210,3349) yields a new equation:
% 34.43/9.03 | (3288) e12 = e10
% 34.43/9.03 |
% 34.43/9.03 | Equations (3288) can reduce 159 to:
% 34.43/9.03 | (401) $false
% 34.43/9.03 |
% 34.43/9.03 |-The branch is then unsatisfiable
% 34.43/9.03 |-Branch two:
% 34.43/9.03 | (3352) ~ (all_0_113_113 = e12)
% 34.43/9.03 | (3353) all_0_114_114 = e12
% 34.43/9.03 |
% 34.43/9.03 | Equations (3353) can reduce 249 to:
% 34.43/9.03 | (3418) ~ (all_0_118_118 = e12)
% 34.43/9.03 |
% 34.43/9.03 | Simplifying 3418 yields:
% 34.43/9.03 | (3419) ~ (all_0_118_118 = e12)
% 34.43/9.03 |
% 34.43/9.03 | Equations (3353) can reduce 55 to:
% 34.43/9.03 | (208) ~ (e12 = e11)
% 34.43/9.03 |
% 34.43/9.03 | From (3353) and (145) follows:
% 34.43/9.03 | (3983) op1(e13, e10) = e12
% 34.43/9.03 |
% 34.43/9.03 +-Applying beta-rule and splitting (3819), into two cases.
% 34.43/9.03 |-Branch one:
% 34.43/9.03 | (3263) all_0_118_118 = e12
% 34.43/9.03 |
% 34.43/9.03 | Equations (3263) can reduce 3419 to:
% 34.43/9.03 | (401) $false
% 34.43/9.03 |
% 34.43/9.03 |-The branch is then unsatisfiable
% 34.43/9.03 |-Branch two:
% 34.43/9.03 | (3419) ~ (all_0_118_118 = e12)
% 34.43/9.03 | (3458) all_0_118_118 = e10
% 34.43/9.03 |
% 34.43/9.03 | Equations (3458) can reduce 336 to:
% 34.43/9.03 | (210) ~ (all_0_116_116 = e10)
% 34.43/9.03 |
% 34.43/9.03 | Equations (3458) can reduce 192 to:
% 34.43/9.03 | (3212) ~ (all_0_117_117 = e10)
% 34.43/9.03 |
% 34.43/9.03 | Equations (3458) can reduce 3419 to:
% 34.43/9.03 | (3459) ~ (e12 = e10)
% 34.43/9.03 |
% 34.43/9.03 | Simplifying 3459 yields:
% 34.43/9.03 | (159) ~ (e12 = e10)
% 34.43/9.03 |
% 34.43/9.03 | Equations (3458) can reduce 164 to:
% 34.43/9.03 | (3283) ~ (e11 = e10)
% 34.43/9.03 |
% 34.43/9.03 | Simplifying 3283 yields:
% 34.43/9.03 | (138) ~ (e11 = e10)
% 34.43/9.03 |
% 34.43/9.03 +-Applying beta-rule and splitting (41), into two cases.
% 34.43/9.03 |-Branch one:
% 34.43/9.03 | (3253) all_0_116_116 = e12
% 34.43/9.03 |
% 34.43/9.03 | Equations (3253) can reduce 95 to:
% 34.43/9.03 | (3995) ~ (all_0_117_117 = e12)
% 34.43/9.03 |
% 34.43/9.03 | Simplifying 3995 yields:
% 34.43/9.03 | (3262) ~ (all_0_117_117 = e12)
% 34.43/9.03 |
% 34.43/9.03 | Equations (3253) can reduce 294 to:
% 34.43/9.03 | (3215) ~ (all_0_120_120 = e12)
% 34.43/9.03 |
% 34.43/9.03 | Simplifying 3215 yields:
% 34.43/9.03 | (3216) ~ (all_0_120_120 = e12)
% 34.43/9.03 |
% 34.43/9.03 | Equations (3253) can reduce 210 to:
% 34.43/9.03 | (159) ~ (e12 = e10)
% 34.43/9.03 |
% 34.43/9.03 +-Applying beta-rule and splitting (222), into two cases.
% 34.43/9.03 |-Branch one:
% 34.43/9.03 | (3364) all_0_115_115 = e11
% 34.43/9.03 |
% 34.43/9.03 | Combining equations (3151,3364) yields a new equation:
% 34.43/9.03 | (3227) e13 = e11
% 34.43/9.03 |
% 34.43/9.03 | Simplifying 3227 yields:
% 34.43/9.03 | (3228) e13 = e11
% 34.43/9.03 |
% 34.43/9.03 | Equations (3228) can reduce 34 to:
% 34.43/9.03 | (401) $false
% 34.43/9.03 |
% 34.43/9.03 |-The branch is then unsatisfiable
% 34.43/9.03 |-Branch two:
% 34.43/9.03 | (3750) ~ (all_0_115_115 = e11)
% 34.43/9.03 | (4005) all_0_116_116 = e11 | all_0_117_117 = e11
% 34.43/9.03 |
% 34.43/9.03 +-Applying beta-rule and splitting (316), into two cases.
% 34.43/9.03 |-Branch one:
% 34.43/9.03 | (3258) all_0_117_117 = e12
% 34.43/9.03 |
% 34.43/9.03 | Equations (3258) can reduce 3262 to:
% 34.43/9.03 | (401) $false
% 34.43/9.03 |
% 34.43/9.03 |-The branch is then unsatisfiable
% 34.43/9.03 |-Branch two:
% 34.43/9.03 | (3262) ~ (all_0_117_117 = e12)
% 34.43/9.03 | (3530) all_0_117_117 = e11 | all_0_117_117 = e10
% 34.43/9.03 |
% 34.43/9.03 +-Applying beta-rule and splitting (111), into two cases.
% 34.43/9.03 |-Branch one:
% 34.43/9.03 | (3349) all_0_113_113 = e12
% 34.43/9.03 |
% 34.43/9.03 | Combining equations (3349,3210) yields a new equation:
% 34.43/9.03 | (3307) e12 = e10
% 34.43/9.03 |
% 34.43/9.03 | Simplifying 3307 yields:
% 34.43/9.03 | (3288) e12 = e10
% 34.43/9.03 |
% 34.43/9.03 | Equations (3288) can reduce 159 to:
% 34.43/9.03 | (401) $false
% 34.43/9.03 |
% 34.43/9.03 |-The branch is then unsatisfiable
% 34.43/9.03 |-Branch two:
% 34.43/9.03 | (3352) ~ (all_0_113_113 = e12)
% 34.43/9.03 | (4015) all_0_117_117 = e12 | all_0_121_121 = e12
% 34.43/9.03 |
% 34.43/9.03 +-Applying beta-rule and splitting (3186), into two cases.
% 34.43/9.03 |-Branch one:
% 34.43/9.03 | (3334) all_0_120_120 = e12
% 34.43/9.03 |
% 34.43/9.03 | Equations (3334) can reduce 3216 to:
% 34.43/9.03 | (401) $false
% 34.43/9.03 |
% 34.43/9.03 |-The branch is then unsatisfiable
% 34.43/9.03 |-Branch two:
% 34.43/9.03 | (3216) ~ (all_0_120_120 = e12)
% 34.43/9.03 | (3231) all_0_120_120 = e11
% 34.43/9.03 |
% 34.43/9.03 | Equations (3231) can reduce 333 to:
% 34.43/9.03 | (3232) ~ (all_0_121_121 = e11)
% 34.43/9.03 |
% 34.43/9.03 | Simplifying 3232 yields:
% 34.43/9.03 | (3233) ~ (all_0_121_121 = e11)
% 34.43/9.03 |
% 34.43/9.03 | Equations (3231) can reduce 3216 to:
% 34.43/9.03 | (3236) ~ (e12 = e11)
% 34.43/9.03 |
% 34.43/9.03 | Simplifying 3236 yields:
% 34.43/9.03 | (208) ~ (e12 = e11)
% 34.43/9.03 |
% 34.43/9.03 | From (3231) and (70) follows:
% 34.43/9.03 | (3239) op1(e10, e12) = e11
% 34.43/9.03 |
% 34.43/9.03 +-Applying beta-rule and splitting (325), into two cases.
% 34.43/9.03 |-Branch one:
% 34.43/9.03 | (3334) all_0_120_120 = e12
% 34.43/9.03 |
% 34.43/9.03 | Combining equations (3231,3334) yields a new equation:
% 34.43/9.03 | (3222) e12 = e11
% 34.43/9.03 |
% 34.43/9.03 | Equations (3222) can reduce 208 to:
% 34.43/9.03 | (401) $false
% 34.43/9.03 |
% 34.43/9.03 |-The branch is then unsatisfiable
% 34.43/9.03 |-Branch two:
% 34.43/9.03 | (3216) ~ (all_0_120_120 = e12)
% 34.43/9.03 | (3338) all_0_121_121 = e12 | all_0_122_122 = e12
% 34.43/9.03 |
% 34.43/9.03 | Equations (3231) can reduce 3216 to:
% 34.43/9.04 | (3236) ~ (e12 = e11)
% 34.43/9.04 |
% 34.43/9.04 | Simplifying 3236 yields:
% 34.43/9.04 | (208) ~ (e12 = e11)
% 34.43/9.04 |
% 34.43/9.04 +-Applying beta-rule and splitting (51), into two cases.
% 34.43/9.04 |-Branch one:
% 34.43/9.04 | (3267) all_0_121_121 = e12
% 34.43/9.04 |
% 34.43/9.04 | Equations (3267) can reduce 3233 to:
% 34.43/9.04 | (208) ~ (e12 = e11)
% 34.43/9.04 |
% 34.43/9.04 | From (3267) and (21) follows:
% 34.43/9.04 | (3271) op1(e10, e11) = e12
% 34.43/9.04 |
% 34.43/9.04 +-Applying beta-rule and splitting (4005), into two cases.
% 34.43/9.04 |-Branch one:
% 34.43/9.04 | (3226) all_0_116_116 = e11
% 34.43/9.04 |
% 34.43/9.04 | Combining equations (3226,3253) yields a new equation:
% 34.43/9.04 | (3222) e12 = e11
% 34.43/9.04 |
% 34.43/9.04 | Equations (3222) can reduce 208 to:
% 34.43/9.04 | (401) $false
% 34.43/9.04 |
% 34.43/9.04 |-The branch is then unsatisfiable
% 34.43/9.04 |-Branch two:
% 34.43/9.04 | (3230) ~ (all_0_116_116 = e11)
% 34.43/9.04 | (3246) all_0_117_117 = e11
% 34.43/9.04 |
% 34.43/9.04 | Equations (3246) can reduce 3212 to:
% 34.43/9.04 | (138) ~ (e11 = e10)
% 34.43/9.04 |
% 34.43/9.04 | From (3246) and (345) follows:
% 34.43/9.04 | (3252) op1(e12, e11) = e11
% 34.43/9.04 |
% 34.43/9.04 +-Applying beta-rule and splitting (272), into two cases.
% 34.43/9.04 |-Branch one:
% 34.43/9.04 | (3285) unit1 = e13
% 34.43/9.04 |
% 34.43/9.04 | From (3285) and (189) follows:
% 34.43/9.04 | (4043) op1(e13, e10) = e10
% 34.43/9.04 |
% 34.43/9.04 | From (3285) and (206) follows:
% 34.43/9.04 | (3900) op1(e13, e13) = e13
% 34.43/9.04 |
% 34.43/9.04 | From (3285) and (136) follows:
% 34.43/9.04 | (3286) op1(e12, e13) = e12
% 34.43/9.04 |
% 34.43/9.04 | Instantiating formula (291) with e13, e13, e13, e11 and discharging atoms op1(e13, e13) = e13, op1(e13, e13) = e11, yields:
% 34.43/9.04 | (3228) e13 = e11
% 34.43/9.04 |
% 34.43/9.04 | Instantiating formula (291) with e13, e10, e10, e12 and discharging atoms op1(e13, e10) = e12, op1(e13, e10) = e10, yields:
% 34.43/9.04 | (3288) e12 = e10
% 34.43/9.04 |
% 34.43/9.04 | Instantiating formula (291) with e12, e13, e12, e13 and discharging atoms op1(e12, e13) = e13, op1(e12, e13) = e12, yields:
% 34.43/9.04 | (3254) e13 = e12
% 34.43/9.04 |
% 34.43/9.04 | Combining equations (3254,3228) yields a new equation:
% 34.43/9.04 | (3221) e12 = e11
% 34.43/9.04 |
% 34.43/9.04 | Simplifying 3221 yields:
% 34.43/9.04 | (3222) e12 = e11
% 34.43/9.04 |
% 34.43/9.04 | Combining equations (3288,3222) yields a new equation:
% 34.43/9.04 | (3206) e11 = e10
% 34.43/9.04 |
% 34.43/9.04 | Equations (3206) can reduce 138 to:
% 34.43/9.04 | (401) $false
% 34.43/9.04 |
% 34.43/9.04 |-The branch is then unsatisfiable
% 34.43/9.04 |-Branch two:
% 34.43/9.04 | (3292) ~ (unit1 = e13)
% 34.43/9.04 | (3293) unit1 = e12 | unit1 = e11 | unit1 = e10
% 34.43/9.04 |
% 34.43/9.04 +-Applying beta-rule and splitting (3293), into two cases.
% 34.43/9.04 |-Branch one:
% 34.43/9.04 | (3294) unit1 = e12
% 34.43/9.04 |
% 34.43/9.04 | From (3294) and (207) follows:
% 34.43/9.04 | (3295) op1(e10, e12) = e10
% 34.43/9.04 |
% 34.43/9.04 | Instantiating formula (291) with e10, e12, e10, e11 and discharging atoms op1(e10, e12) = e11, op1(e10, e12) = e10, yields:
% 34.43/9.04 | (3206) e11 = e10
% 34.43/9.04 |
% 34.43/9.04 | Equations (3206) can reduce 138 to:
% 34.43/9.04 | (401) $false
% 34.43/9.04 |
% 34.43/9.04 |-The branch is then unsatisfiable
% 34.43/9.04 |-Branch two:
% 34.43/9.04 | (3298) ~ (unit1 = e12)
% 34.43/9.04 | (3299) unit1 = e11 | unit1 = e10
% 34.43/9.04 |
% 34.43/9.04 +-Applying beta-rule and splitting (3299), into two cases.
% 34.43/9.04 |-Branch one:
% 34.43/9.04 | (3300) unit1 = e11
% 34.43/9.04 |
% 34.43/9.04 | From (3300) and (205) follows:
% 34.43/9.04 | (3301) op1(e11, e13) = e13
% 34.43/9.04 |
% 34.43/9.04 | From (3300) and (206) follows:
% 34.43/9.04 | (3302) op1(e13, e11) = e13
% 34.43/9.04 |
% 34.43/9.04 | From (3300) and (136) follows:
% 34.43/9.04 | (3303) op1(e12, e11) = e12
% 34.43/9.04 |
% 34.43/9.04 | Instantiating formula (291) with e13, e11, e13, e10 and discharging atoms op1(e13, e11) = e13, op1(e13, e11) = e10, yields:
% 34.43/9.04 | (3304) e13 = e10
% 34.43/9.04 |
% 34.43/9.04 | Instantiating formula (291) with e12, e11, e12, e11 and discharging atoms op1(e12, e11) = e12, op1(e12, e11) = e11, yields:
% 34.43/9.04 | (3222) e12 = e11
% 34.43/9.04 |
% 34.43/9.04 | Instantiating formula (291) with e11, e13, e13, e12 and discharging atoms op1(e11, e13) = e13, op1(e11, e13) = e12, yields:
% 34.43/9.04 | (3254) e13 = e12
% 34.43/9.04 |
% 34.43/9.04 | Combining equations (3254,3304) yields a new equation:
% 34.43/9.04 | (3307) e12 = e10
% 34.43/9.04 |
% 34.43/9.04 | Simplifying 3307 yields:
% 34.43/9.04 | (3288) e12 = e10
% 34.43/9.04 |
% 34.43/9.04 | Combining equations (3222,3288) yields a new equation:
% 34.43/9.04 | (3205) e11 = e10
% 34.43/9.04 |
% 34.43/9.04 | Simplifying 3205 yields:
% 34.43/9.04 | (3206) e11 = e10
% 34.43/9.04 |
% 34.43/9.04 | Equations (3206) can reduce 138 to:
% 34.43/9.04 | (401) $false
% 34.43/9.04 |
% 34.43/9.04 |-The branch is then unsatisfiable
% 34.43/9.04 |-Branch two:
% 34.43/9.04 | (3312) ~ (unit1 = e11)
% 34.43/9.04 | (3313) unit1 = e10
% 34.43/9.04 |
% 34.43/9.04 | Equations (3313) can reduce 3312 to:
% 34.43/9.04 | (3283) ~ (e11 = e10)
% 34.43/9.04 |
% 34.43/9.04 | Simplifying 3283 yields:
% 34.43/9.04 | (138) ~ (e11 = e10)
% 34.43/9.04 |
% 34.43/9.04 | From (3313) and (92) follows:
% 34.43/9.04 | (3314) op1(e10, e11) = e11
% 34.43/9.04 |
% 34.43/9.04 | From (3313) and (206) follows:
% 34.43/9.04 | (4078) op1(e13, e10) = e13
% 34.43/9.04 |
% 34.43/9.04 | From (3313) and (207) follows:
% 34.43/9.04 | (3498) op1(e10, e10) = e10
% 34.43/9.04 |
% 34.43/9.04 | Instantiating formula (291) with e13, e10, e13, e12 and discharging atoms op1(e13, e10) = e13, op1(e13, e10) = e12, yields:
% 34.43/9.04 | (3254) e13 = e12
% 34.43/9.04 |
% 34.43/9.04 | Instantiating formula (291) with e10, e11, e11, e12 and discharging atoms op1(e10, e11) = e12, op1(e10, e11) = e11, yields:
% 34.43/9.04 | (3222) e12 = e11
% 34.43/9.04 |
% 34.43/9.04 | Instantiating formula (291) with e10, e10, e10, e13 and discharging atoms op1(e10, e10) = e13, op1(e10, e10) = e10, yields:
% 34.43/9.04 | (3304) e13 = e10
% 34.43/9.04 |
% 34.43/9.04 | Combining equations (3304,3254) yields a new equation:
% 34.43/9.04 | (3288) e12 = e10
% 34.43/9.04 |
% 34.43/9.04 | Combining equations (3288,3222) yields a new equation:
% 34.43/9.04 | (3206) e11 = e10
% 34.43/9.04 |
% 34.43/9.04 | Equations (3206) can reduce 138 to:
% 34.43/9.04 | (401) $false
% 34.43/9.04 |
% 34.43/9.04 |-The branch is then unsatisfiable
% 34.43/9.05 |-Branch two:
% 34.43/9.05 | (3332) ~ (all_0_121_121 = e12)
% 34.43/9.05 | (3333) all_0_121_121 = e11 | all_0_121_121 = e10
% 34.43/9.05 |
% 34.43/9.05 +-Applying beta-rule and splitting (4005), into two cases.
% 34.43/9.05 |-Branch one:
% 34.43/9.05 | (3226) all_0_116_116 = e11
% 34.43/9.05 |
% 34.43/9.05 | Combining equations (3253,3226) yields a new equation:
% 34.43/9.05 | (3221) e12 = e11
% 34.43/9.05 |
% 34.43/9.05 | Simplifying 3221 yields:
% 34.43/9.05 | (3222) e12 = e11
% 34.43/9.05 |
% 34.43/9.05 | Equations (3222) can reduce 208 to:
% 34.43/9.05 | (401) $false
% 34.43/9.05 |
% 34.43/9.05 |-The branch is then unsatisfiable
% 34.43/9.05 |-Branch two:
% 34.43/9.05 | (3230) ~ (all_0_116_116 = e11)
% 34.43/9.05 | (3246) all_0_117_117 = e11
% 34.43/9.05 |
% 34.43/9.05 | Equations (3246) can reduce 3262 to:
% 34.43/9.05 | (3236) ~ (e12 = e11)
% 34.43/9.05 |
% 34.43/9.05 | Simplifying 3236 yields:
% 34.43/9.05 | (208) ~ (e12 = e11)
% 34.43/9.05 |
% 34.43/9.05 +-Applying beta-rule and splitting (4015), into two cases.
% 34.43/9.05 |-Branch one:
% 34.43/9.05 | (3258) all_0_117_117 = e12
% 34.43/9.05 |
% 34.43/9.05 | Combining equations (3246,3258) yields a new equation:
% 34.43/9.05 | (3222) e12 = e11
% 34.43/9.05 |
% 34.43/9.05 | Equations (3222) can reduce 208 to:
% 34.43/9.05 | (401) $false
% 34.43/9.05 |
% 34.43/9.05 |-The branch is then unsatisfiable
% 34.43/9.05 |-Branch two:
% 34.43/9.05 | (3262) ~ (all_0_117_117 = e12)
% 34.43/9.05 | (3267) all_0_121_121 = e12
% 34.43/9.05 |
% 34.43/9.05 | Equations (3267) can reduce 3332 to:
% 34.43/9.05 | (401) $false
% 34.43/9.05 |
% 34.43/9.05 |-The branch is then unsatisfiable
% 34.43/9.05 |-Branch two:
% 34.43/9.05 | (3256) ~ (all_0_116_116 = e12)
% 34.43/9.05 | (3257) all_0_117_117 = e12 | all_0_118_118 = e12
% 34.43/9.05 |
% 34.43/9.05 +-Applying beta-rule and splitting (3257), into two cases.
% 34.43/9.05 |-Branch one:
% 34.43/9.05 | (3258) all_0_117_117 = e12
% 34.43/9.05 |
% 34.43/9.05 | From (3258) and (345) follows:
% 34.43/9.05 | (3303) op1(e12, e11) = e12
% 34.43/9.05 |
% 34.43/9.05 +-Applying beta-rule and splitting (133), into two cases.
% 34.43/9.05 |-Branch one:
% 34.43/9.05 | (3240) all_0_113_113 = e11
% 34.43/9.05 |
% 34.43/9.05 | Combining equations (3240,3210) yields a new equation:
% 34.43/9.05 | (3205) e11 = e10
% 34.43/9.05 |
% 34.43/9.05 | Simplifying 3205 yields:
% 34.43/9.05 | (3206) e11 = e10
% 34.43/9.05 |
% 34.43/9.05 | Equations (3206) can reduce 138 to:
% 34.43/9.05 | (401) $false
% 34.43/9.05 |
% 34.43/9.05 |-The branch is then unsatisfiable
% 34.43/9.05 |-Branch two:
% 34.43/9.05 | (3244) ~ (all_0_113_113 = e11)
% 34.43/9.05 | (3245) all_0_117_117 = e11 | all_0_121_121 = e11
% 34.43/9.05 |
% 34.43/9.05 +-Applying beta-rule and splitting (325), into two cases.
% 34.43/9.05 |-Branch one:
% 34.43/9.05 | (3334) all_0_120_120 = e12
% 34.43/9.05 |
% 34.43/9.05 | Equations (3334) can reduce 294 to:
% 34.43/9.05 | (3256) ~ (all_0_116_116 = e12)
% 34.43/9.05 |
% 34.43/9.05 | From (3334) and (70) follows:
% 34.43/9.05 | (3497) op1(e10, e12) = e12
% 34.43/9.05 |
% 34.43/9.05 +-Applying beta-rule and splitting (3779), into two cases.
% 34.43/9.05 |-Branch one:
% 34.43/9.05 | (3253) all_0_116_116 = e12
% 34.43/9.05 |
% 34.43/9.05 | Equations (3253) can reduce 3256 to:
% 34.43/9.05 | (401) $false
% 34.43/9.05 |
% 34.43/9.05 |-The branch is then unsatisfiable
% 34.43/9.05 |-Branch two:
% 34.43/9.05 | (3256) ~ (all_0_116_116 = e12)
% 34.43/9.05 | (3226) all_0_116_116 = e11
% 34.43/9.05 |
% 34.43/9.05 | Equations (3226) can reduce 210 to:
% 34.43/9.05 | (138) ~ (e11 = e10)
% 34.43/9.05 |
% 34.43/9.05 +-Applying beta-rule and splitting (272), into two cases.
% 34.43/9.05 |-Branch one:
% 34.43/9.05 | (3285) unit1 = e13
% 34.43/9.05 |
% 34.43/9.05 | From (3285) and (189) follows:
% 34.43/9.05 | (4043) op1(e13, e10) = e10
% 34.43/9.05 |
% 34.43/9.05 | From (3285) and (206) follows:
% 34.43/9.05 | (3900) op1(e13, e13) = e13
% 34.43/9.05 |
% 34.43/9.05 | From (3285) and (136) follows:
% 34.43/9.05 | (3286) op1(e12, e13) = e12
% 34.43/9.05 |
% 34.43/9.05 | Instantiating formula (291) with e13, e13, e13, e11 and discharging atoms op1(e13, e13) = e13, op1(e13, e13) = e11, yields:
% 34.43/9.05 | (3228) e13 = e11
% 34.43/9.05 |
% 34.43/9.05 | Instantiating formula (291) with e13, e10, e10, e12 and discharging atoms op1(e13, e10) = e12, op1(e13, e10) = e10, yields:
% 34.43/9.05 | (3288) e12 = e10
% 34.43/9.05 |
% 34.43/9.05 | Instantiating formula (291) with e12, e13, e12, e13 and discharging atoms op1(e12, e13) = e13, op1(e12, e13) = e12, yields:
% 34.43/9.05 | (3254) e13 = e12
% 34.43/9.05 |
% 34.43/9.05 | Combining equations (3254,3228) yields a new equation:
% 34.43/9.05 | (3221) e12 = e11
% 34.43/9.05 |
% 34.43/9.05 | Simplifying 3221 yields:
% 34.43/9.05 | (3222) e12 = e11
% 34.43/9.05 |
% 34.43/9.05 | Combining equations (3288,3222) yields a new equation:
% 34.43/9.05 | (3206) e11 = e10
% 34.43/9.05 |
% 34.43/9.05 | Equations (3206) can reduce 138 to:
% 34.43/9.05 | (401) $false
% 34.43/9.05 |
% 34.43/9.05 |-The branch is then unsatisfiable
% 34.43/9.05 |-Branch two:
% 34.43/9.05 | (3292) ~ (unit1 = e13)
% 34.43/9.05 | (3293) unit1 = e12 | unit1 = e11 | unit1 = e10
% 34.43/9.05 |
% 34.43/9.05 +-Applying beta-rule and splitting (3293), into two cases.
% 34.43/9.05 |-Branch one:
% 34.43/9.05 | (3294) unit1 = e12
% 34.43/9.05 |
% 34.43/9.05 | From (3294) and (92) follows:
% 34.43/9.05 | (3252) op1(e12, e11) = e11
% 34.43/9.05 |
% 34.43/9.05 | From (3294) and (207) follows:
% 34.43/9.05 | (3295) op1(e10, e12) = e10
% 34.43/9.05 |
% 34.43/9.05 | Instantiating formula (291) with e12, e11, e11, e12 and discharging atoms op1(e12, e11) = e12, op1(e12, e11) = e11, yields:
% 34.43/9.05 | (3222) e12 = e11
% 34.43/9.05 |
% 34.43/9.05 | Instantiating formula (291) with e10, e12, e10, e12 and discharging atoms op1(e10, e12) = e12, op1(e10, e12) = e10, yields:
% 34.43/9.05 | (3288) e12 = e10
% 34.43/9.05 |
% 34.43/9.06 | Combining equations (3288,3222) yields a new equation:
% 34.43/9.06 | (3206) e11 = e10
% 34.43/9.06 |
% 34.43/9.06 | Equations (3206) can reduce 138 to:
% 34.43/9.06 | (401) $false
% 34.43/9.06 |
% 34.43/9.06 |-The branch is then unsatisfiable
% 34.43/9.06 |-Branch two:
% 34.43/9.06 | (3298) ~ (unit1 = e12)
% 34.43/9.06 | (3299) unit1 = e11 | unit1 = e10
% 34.43/9.06 |
% 34.43/9.06 +-Applying beta-rule and splitting (3299), into two cases.
% 34.43/9.06 |-Branch one:
% 34.43/9.06 | (3300) unit1 = e11
% 34.43/9.06 |
% 34.43/9.06 | From (3300) and (205) follows:
% 34.43/9.06 | (3301) op1(e11, e13) = e13
% 34.43/9.06 |
% 34.43/9.06 | From (3300) and (206) follows:
% 34.43/9.06 | (3302) op1(e13, e11) = e13
% 34.43/9.06 |
% 34.43/9.06 | From (3300) and (246) follows:
% 34.43/9.06 | (3485) op1(e11, e11) = e11
% 34.43/9.06 |
% 34.43/9.06 | Instantiating formula (291) with e13, e11, e13, e10 and discharging atoms op1(e13, e11) = e13, op1(e13, e11) = e10, yields:
% 34.43/9.06 | (3304) e13 = e10
% 34.43/9.06 |
% 34.43/9.06 | Instantiating formula (291) with e11, e13, e13, e12 and discharging atoms op1(e11, e13) = e13, op1(e11, e13) = e12, yields:
% 34.43/9.06 | (3254) e13 = e12
% 34.43/9.06 |
% 34.43/9.06 | Instantiating formula (291) with e11, e11, e11, e13 and discharging atoms op1(e11, e11) = e13, op1(e11, e11) = e11, yields:
% 34.43/9.06 | (3228) e13 = e11
% 34.43/9.06 |
% 34.43/9.06 | Combining equations (3304,3254) yields a new equation:
% 34.43/9.06 | (3288) e12 = e10
% 34.43/9.06 |
% 34.43/9.06 | Combining equations (3228,3254) yields a new equation:
% 34.43/9.06 | (3222) e12 = e11
% 34.43/9.06 |
% 34.43/9.06 | Combining equations (3222,3288) yields a new equation:
% 34.43/9.06 | (3205) e11 = e10
% 34.43/9.06 |
% 34.43/9.06 | Simplifying 3205 yields:
% 34.43/9.06 | (3206) e11 = e10
% 34.43/9.06 |
% 34.43/9.06 | Equations (3206) can reduce 138 to:
% 34.43/9.06 | (401) $false
% 34.43/9.06 |
% 34.43/9.06 |-The branch is then unsatisfiable
% 34.43/9.06 |-Branch two:
% 34.43/9.06 | (3312) ~ (unit1 = e11)
% 34.43/9.06 | (3313) unit1 = e10
% 34.43/9.06 |
% 34.43/9.06 | Equations (3313) can reduce 3298 to:
% 34.43/9.06 | (3459) ~ (e12 = e10)
% 34.43/9.06 |
% 34.43/9.06 | Simplifying 3459 yields:
% 34.43/9.06 | (159) ~ (e12 = e10)
% 34.43/9.06 |
% 34.43/9.06 | From (3313) and (206) follows:
% 34.43/9.06 | (4078) op1(e13, e10) = e13
% 34.43/9.06 |
% 34.43/9.06 | From (3313) and (207) follows:
% 34.43/9.06 | (3498) op1(e10, e10) = e10
% 34.43/9.06 |
% 34.43/9.06 | Instantiating formula (291) with e13, e10, e13, e12 and discharging atoms op1(e13, e10) = e13, op1(e13, e10) = e12, yields:
% 34.43/9.06 | (3254) e13 = e12
% 34.43/9.06 |
% 34.43/9.06 | Instantiating formula (291) with e10, e10, e10, e13 and discharging atoms op1(e10, e10) = e13, op1(e10, e10) = e10, yields:
% 34.43/9.06 | (3304) e13 = e10
% 34.43/9.06 |
% 34.63/9.06 | Combining equations (3254,3304) yields a new equation:
% 34.63/9.06 | (3307) e12 = e10
% 34.63/9.06 |
% 34.63/9.06 | Simplifying 3307 yields:
% 34.63/9.06 | (3288) e12 = e10
% 34.63/9.06 |
% 34.63/9.06 | Equations (3288) can reduce 159 to:
% 34.63/9.06 | (401) $false
% 34.63/9.06 |
% 34.63/9.06 |-The branch is then unsatisfiable
% 34.63/9.06 |-Branch two:
% 34.63/9.06 | (3216) ~ (all_0_120_120 = e12)
% 34.63/9.06 | (3338) all_0_121_121 = e12 | all_0_122_122 = e12
% 34.63/9.06 |
% 34.63/9.06 +-Applying beta-rule and splitting (3245), into two cases.
% 34.63/9.06 |-Branch one:
% 34.63/9.06 | (3246) all_0_117_117 = e11
% 34.63/9.06 |
% 34.63/9.06 | Combining equations (3258,3246) yields a new equation:
% 34.63/9.06 | (3221) e12 = e11
% 34.63/9.06 |
% 34.63/9.06 | Simplifying 3221 yields:
% 34.63/9.06 | (3222) e12 = e11
% 34.63/9.06 |
% 34.63/9.06 | Equations (3222) can reduce 208 to:
% 34.63/9.06 | (401) $false
% 34.63/9.06 |
% 34.63/9.06 |-The branch is then unsatisfiable
% 34.63/9.06 |-Branch two:
% 34.63/9.06 | (3344) ~ (all_0_117_117 = e11)
% 34.63/9.06 | (3345) all_0_121_121 = e11
% 34.63/9.06 |
% 34.63/9.06 | Equations (3345) can reduce 333 to:
% 34.63/9.06 | (3663) ~ (all_0_120_120 = e11)
% 34.63/9.06 |
% 34.63/9.06 +-Applying beta-rule and splitting (3186), into two cases.
% 34.63/9.06 |-Branch one:
% 34.63/9.06 | (3334) all_0_120_120 = e12
% 34.63/9.06 |
% 34.63/9.06 | Equations (3334) can reduce 3216 to:
% 34.63/9.06 | (401) $false
% 34.63/9.06 |
% 34.63/9.06 |-The branch is then unsatisfiable
% 34.63/9.06 |-Branch two:
% 34.63/9.06 | (3216) ~ (all_0_120_120 = e12)
% 34.63/9.06 | (3231) all_0_120_120 = e11
% 34.63/9.06 |
% 34.63/9.06 | Equations (3231) can reduce 3663 to:
% 34.63/9.06 | (401) $false
% 34.63/9.06 |
% 34.63/9.06 |-The branch is then unsatisfiable
% 34.63/9.06 |-Branch two:
% 34.63/9.06 | (3262) ~ (all_0_117_117 = e12)
% 34.63/9.06 | (3263) all_0_118_118 = e12
% 34.63/9.06 |
% 34.63/9.06 | Combining equations (3458,3263) yields a new equation:
% 34.63/9.06 | (3288) e12 = e10
% 34.63/9.06 |
% 34.63/9.06 | Equations (3288) can reduce 159 to:
% 34.63/9.06 | (401) $false
% 34.63/9.06 |
% 34.63/9.06 |-The branch is then unsatisfiable
% 34.63/9.06 |-Branch two:
% 34.63/9.06 | (3362) ~ (all_0_111_111 = e11)
% 34.63/9.06 | (3399) all_0_112_112 = e11 | all_0_113_113 = e11
% 34.63/9.06 |
% 34.63/9.06 +-Applying beta-rule and splitting (185), into two cases.
% 34.63/9.06 |-Branch one:
% 34.63/9.07 | (3199) all_0_111_111 = e11
% 34.63/9.07 |
% 34.63/9.07 | Equations (3199) can reduce 3362 to:
% 34.63/9.07 | (401) $false
% 34.63/9.07 |
% 34.63/9.07 |-The branch is then unsatisfiable
% 34.63/9.07 |-Branch two:
% 34.63/9.07 | (3362) ~ (all_0_111_111 = e11)
% 34.63/9.07 | (3363) all_0_115_115 = e11 | all_0_119_119 = e11
% 34.63/9.07 |
% 34.63/9.07 +-Applying beta-rule and splitting (3363), into two cases.
% 34.63/9.07 |-Branch one:
% 34.63/9.07 | (3364) all_0_115_115 = e11
% 34.63/9.07 |
% 34.63/9.07 | Combining equations (3151,3364) yields a new equation:
% 34.63/9.07 | (3227) e13 = e11
% 34.63/9.07 |
% 34.63/9.07 | Simplifying 3227 yields:
% 34.63/9.07 | (3228) e13 = e11
% 34.63/9.07 |
% 34.63/9.07 | Equations (3228) can reduce 34 to:
% 34.63/9.07 | (401) $false
% 34.63/9.07 |
% 34.63/9.07 |-The branch is then unsatisfiable
% 34.63/9.07 |-Branch two:
% 34.63/9.07 | (3750) ~ (all_0_115_115 = e11)
% 34.63/9.07 | (3404) all_0_119_119 = e11
% 34.63/9.07 |
% 34.63/9.07 | Equations (3404) can reduce 258 to:
% 34.63/9.07 | (4195) ~ (all_0_120_120 = e11)
% 34.63/9.07 |
% 34.63/9.07 | Simplifying 4195 yields:
% 34.63/9.07 | (3663) ~ (all_0_120_120 = e11)
% 34.63/9.07 |
% 34.63/9.07 | Equations (3404) can reduce 3754 to:
% 34.63/9.07 | (3202) ~ (e13 = e11)
% 34.63/9.07 |
% 34.63/9.07 | Simplifying 3202 yields:
% 34.63/9.07 | (34) ~ (e13 = e11)
% 34.63/9.07 |
% 34.63/9.07 | From (3404) and (315) follows:
% 34.63/9.07 | (4199) op1(e10, e13) = e11
% 34.63/9.07 |
% 34.63/9.07 +-Applying beta-rule and splitting (233), into two cases.
% 34.63/9.07 |-Branch one:
% 34.63/9.07 | (3204) all_0_111_111 = e10
% 34.63/9.07 |
% 34.63/9.07 | Equations (3204) can reduce 273 to:
% 34.63/9.07 | (4201) ~ (all_0_114_114 = e10)
% 34.63/9.07 |
% 34.63/9.07 | Simplifying 4201 yields:
% 34.63/9.07 | (3391) ~ (all_0_114_114 = e10)
% 34.63/9.07 |
% 34.63/9.07 | From (3204) and (255) follows:
% 34.63/9.07 | (4203) op1(e13, e13) = e10
% 34.63/9.07 |
% 34.63/9.07 +-Applying beta-rule and splitting (282), into two cases.
% 34.63/9.07 |-Branch one:
% 34.63/9.07 | (3220) all_0_112_112 = e11
% 34.63/9.07 |
% 34.63/9.07 | Combining equations (3220,3166) yields a new equation:
% 34.63/9.07 | (3228) e13 = e11
% 34.63/9.07 |
% 34.63/9.07 | Equations (3228) can reduce 34 to:
% 34.63/9.07 | (401) $false
% 34.63/9.07 |
% 34.63/9.07 |-The branch is then unsatisfiable
% 34.63/9.07 |-Branch two:
% 34.63/9.07 | (3201) ~ (all_0_112_112 = e11)
% 34.63/9.07 | (3225) all_0_116_116 = e11 | all_0_120_120 = e11
% 34.63/9.07 |
% 34.63/9.07 +-Applying beta-rule and splitting (3225), into two cases.
% 34.63/9.07 |-Branch one:
% 34.63/9.07 | (3226) all_0_116_116 = e11
% 34.63/9.07 |
% 34.63/9.07 | Equations (3226) can reduce 336 to:
% 34.63/9.07 | (3247) ~ (all_0_118_118 = e11)
% 34.63/9.07 |
% 34.63/9.07 | Simplifying 3247 yields:
% 34.63/9.07 | (164) ~ (all_0_118_118 = e11)
% 34.63/9.07 |
% 34.63/9.07 | Equations (3226) can reduce 294 to:
% 34.63/9.07 | (4195) ~ (all_0_120_120 = e11)
% 34.63/9.07 |
% 34.63/9.07 | Simplifying 4195 yields:
% 34.63/9.07 | (3663) ~ (all_0_120_120 = e11)
% 34.63/9.07 |
% 34.63/9.07 +-Applying beta-rule and splitting (3827), into two cases.
% 34.63/9.07 |-Branch one:
% 34.63/9.07 | (3353) all_0_114_114 = e12
% 34.63/9.07 |
% 34.63/9.07 | Equations (3353) can reduce 249 to:
% 34.63/9.07 | (3418) ~ (all_0_118_118 = e12)
% 34.63/9.07 |
% 34.63/9.07 | Simplifying 3418 yields:
% 34.63/9.07 | (3419) ~ (all_0_118_118 = e12)
% 34.63/9.07 |
% 34.63/9.07 +-Applying beta-rule and splitting (3186), into two cases.
% 34.63/9.07 |-Branch one:
% 34.63/9.07 | (3334) all_0_120_120 = e12
% 34.63/9.07 |
% 34.63/9.07 | Equations (3334) can reduce 3663 to:
% 34.63/9.07 | (208) ~ (e12 = e11)
% 34.63/9.07 |
% 34.63/9.07 | From (3334) and (70) follows:
% 34.63/9.07 | (3497) op1(e10, e12) = e12
% 34.63/9.07 |
% 34.63/9.07 +-Applying beta-rule and splitting (41), into two cases.
% 34.63/9.07 |-Branch one:
% 34.63/9.07 | (3253) all_0_116_116 = e12
% 34.63/9.07 |
% 34.63/9.07 | Combining equations (3226,3253) yields a new equation:
% 34.63/9.07 | (3222) e12 = e11
% 34.63/9.07 |
% 34.63/9.07 | Equations (3222) can reduce 208 to:
% 34.63/9.07 | (401) $false
% 34.63/9.07 |
% 34.63/9.07 |-The branch is then unsatisfiable
% 34.63/9.07 |-Branch two:
% 34.63/9.07 | (3256) ~ (all_0_116_116 = e12)
% 34.63/9.07 | (3257) all_0_117_117 = e12 | all_0_118_118 = e12
% 34.63/9.07 |
% 34.63/9.07 +-Applying beta-rule and splitting (3257), into two cases.
% 34.63/9.07 |-Branch one:
% 34.63/9.07 | (3258) all_0_117_117 = e12
% 34.63/9.07 |
% 34.63/9.07 | Equations (3258) can reduce 192 to:
% 34.63/9.07 | (3418) ~ (all_0_118_118 = e12)
% 34.63/9.07 |
% 34.63/9.07 | Simplifying 3418 yields:
% 34.63/9.07 | (3419) ~ (all_0_118_118 = e12)
% 34.63/9.07 |
% 34.63/9.07 | From (3258) and (345) follows:
% 34.63/9.07 | (3303) op1(e12, e11) = e12
% 34.63/9.07 |
% 34.63/9.07 +-Applying beta-rule and splitting (3819), into two cases.
% 34.63/9.07 |-Branch one:
% 34.63/9.07 | (3263) all_0_118_118 = e12
% 34.63/9.07 |
% 34.63/9.07 | Equations (3263) can reduce 3419 to:
% 34.63/9.07 | (401) $false
% 34.63/9.07 |
% 34.63/9.07 |-The branch is then unsatisfiable
% 34.63/9.07 |-Branch two:
% 34.63/9.07 | (3419) ~ (all_0_118_118 = e12)
% 34.63/9.07 | (3458) all_0_118_118 = e10
% 34.63/9.07 |
% 34.63/9.07 | Equations (3458) can reduce 164 to:
% 34.63/9.07 | (3283) ~ (e11 = e10)
% 34.63/9.07 |
% 34.63/9.07 | Simplifying 3283 yields:
% 34.63/9.07 | (138) ~ (e11 = e10)
% 34.63/9.07 |
% 34.63/9.07 +-Applying beta-rule and splitting (272), into two cases.
% 34.63/9.07 |-Branch one:
% 34.63/9.07 | (3285) unit1 = e13
% 34.63/9.07 |
% 34.63/9.07 | From (3285) and (206) follows:
% 34.63/9.07 | (3900) op1(e13, e13) = e13
% 34.63/9.07 |
% 34.63/9.07 | From (3285) and (136) follows:
% 34.63/9.07 | (3286) op1(e12, e13) = e12
% 34.63/9.07 |
% 34.63/9.07 | From (3285) and (246) follows:
% 34.63/9.07 | (3287) op1(e11, e13) = e11
% 34.63/9.07 |
% 34.63/9.07 | Instantiating formula (291) with e13, e13, e13, e10 and discharging atoms op1(e13, e13) = e13, op1(e13, e13) = e10, yields:
% 34.63/9.07 | (3304) e13 = e10
% 34.63/9.07 |
% 34.63/9.07 | Instantiating formula (291) with e12, e13, e12, e13 and discharging atoms op1(e12, e13) = e13, op1(e12, e13) = e12, yields:
% 34.63/9.07 | (3254) e13 = e12
% 34.63/9.07 |
% 34.63/9.07 | Instantiating formula (291) with e11, e13, e11, e12 and discharging atoms op1(e11, e13) = e12, op1(e11, e13) = e11, yields:
% 34.63/9.07 | (3222) e12 = e11
% 34.63/9.07 |
% 34.63/9.07 | Combining equations (3254,3304) yields a new equation:
% 34.63/9.07 | (3307) e12 = e10
% 34.63/9.07 |
% 34.63/9.07 | Simplifying 3307 yields:
% 34.63/9.07 | (3288) e12 = e10
% 34.63/9.07 |
% 34.63/9.07 | Combining equations (3222,3288) yields a new equation:
% 34.63/9.07 | (3205) e11 = e10
% 34.63/9.07 |
% 34.63/9.07 | Simplifying 3205 yields:
% 34.63/9.08 | (3206) e11 = e10
% 34.63/9.08 |
% 34.63/9.08 | Equations (3206) can reduce 138 to:
% 34.63/9.08 | (401) $false
% 34.63/9.08 |
% 34.63/9.08 |-The branch is then unsatisfiable
% 34.63/9.08 |-Branch two:
% 34.63/9.08 | (3292) ~ (unit1 = e13)
% 34.63/9.08 | (3293) unit1 = e12 | unit1 = e11 | unit1 = e10
% 34.63/9.08 |
% 34.63/9.08 +-Applying beta-rule and splitting (3293), into two cases.
% 34.63/9.08 |-Branch one:
% 34.63/9.08 | (3294) unit1 = e12
% 34.63/9.08 |
% 34.63/9.08 | From (3294) and (92) follows:
% 34.63/9.08 | (3252) op1(e12, e11) = e11
% 34.63/9.08 |
% 34.63/9.08 | From (3294) and (207) follows:
% 34.63/9.08 | (3295) op1(e10, e12) = e10
% 34.63/9.08 |
% 34.63/9.08 | Instantiating formula (291) with e12, e11, e11, e12 and discharging atoms op1(e12, e11) = e12, op1(e12, e11) = e11, yields:
% 34.63/9.08 | (3222) e12 = e11
% 34.63/9.08 |
% 34.63/9.08 | Instantiating formula (291) with e10, e12, e10, e12 and discharging atoms op1(e10, e12) = e12, op1(e10, e12) = e10, yields:
% 34.63/9.08 | (3288) e12 = e10
% 34.63/9.08 |
% 34.63/9.08 | Combining equations (3288,3222) yields a new equation:
% 34.63/9.08 | (3206) e11 = e10
% 34.63/9.08 |
% 34.63/9.08 | Equations (3206) can reduce 138 to:
% 34.63/9.08 | (401) $false
% 34.63/9.08 |
% 34.63/9.08 |-The branch is then unsatisfiable
% 34.63/9.08 |-Branch two:
% 34.63/9.08 | (3298) ~ (unit1 = e12)
% 34.63/9.08 | (3299) unit1 = e11 | unit1 = e10
% 34.63/9.08 |
% 34.63/9.08 +-Applying beta-rule and splitting (3299), into two cases.
% 34.63/9.08 |-Branch one:
% 34.63/9.08 | (3300) unit1 = e11
% 34.63/9.08 |
% 34.63/9.08 | From (3300) and (205) follows:
% 34.63/9.08 | (3301) op1(e11, e13) = e13
% 34.63/9.08 |
% 34.63/9.08 | From (3300) and (362) follows:
% 34.63/9.08 | (3484) op1(e11, e12) = e12
% 34.63/9.08 |
% 34.63/9.08 | From (3300) and (246) follows:
% 34.63/9.08 | (3485) op1(e11, e11) = e11
% 34.63/9.08 |
% 34.63/9.08 | Instantiating formula (291) with e11, e13, e13, e12 and discharging atoms op1(e11, e13) = e13, op1(e11, e13) = e12, yields:
% 34.63/9.08 | (3254) e13 = e12
% 34.63/9.08 |
% 34.63/9.08 | Instantiating formula (291) with e11, e12, e12, e10 and discharging atoms op1(e11, e12) = e12, op1(e11, e12) = e10, yields:
% 34.63/9.08 | (3288) e12 = e10
% 34.63/9.08 |
% 34.63/9.08 | Instantiating formula (291) with e11, e11, e11, e13 and discharging atoms op1(e11, e11) = e13, op1(e11, e11) = e11, yields:
% 34.63/9.08 | (3228) e13 = e11
% 34.63/9.08 |
% 34.63/9.08 | Combining equations (3228,3254) yields a new equation:
% 34.63/9.08 | (3222) e12 = e11
% 34.63/9.08 |
% 34.63/9.08 | Combining equations (3222,3288) yields a new equation:
% 34.63/9.08 | (3205) e11 = e10
% 34.63/9.08 |
% 34.63/9.08 | Simplifying 3205 yields:
% 34.63/9.08 | (3206) e11 = e10
% 34.63/9.08 |
% 34.63/9.08 | Equations (3206) can reduce 138 to:
% 34.63/9.08 | (401) $false
% 34.63/9.08 |
% 34.63/9.08 |-The branch is then unsatisfiable
% 34.63/9.08 |-Branch two:
% 34.63/9.08 | (3312) ~ (unit1 = e11)
% 34.63/9.08 | (3313) unit1 = e10
% 34.63/9.08 |
% 34.63/9.08 | Equations (3313) can reduce 3312 to:
% 34.63/9.08 | (3283) ~ (e11 = e10)
% 34.63/9.08 |
% 34.63/9.08 | Simplifying 3283 yields:
% 34.63/9.08 | (138) ~ (e11 = e10)
% 34.63/9.08 |
% 34.63/9.08 | From (3313) and (205) follows:
% 34.63/9.08 | (4273) op1(e10, e13) = e13
% 34.63/9.08 |
% 34.63/9.08 | From (3313) and (207) follows:
% 34.63/9.08 | (3498) op1(e10, e10) = e10
% 34.63/9.08 |
% 34.63/9.08 | Instantiating formula (291) with e10, e13, e13, e11 and discharging atoms op1(e10, e13) = e13, op1(e10, e13) = e11, yields:
% 34.63/9.08 | (3228) e13 = e11
% 34.63/9.08 |
% 34.63/9.08 | Instantiating formula (291) with e10, e10, e10, e13 and discharging atoms op1(e10, e10) = e13, op1(e10, e10) = e10, yields:
% 34.63/9.08 | (3304) e13 = e10
% 34.63/9.08 |
% 34.63/9.08 | Combining equations (3228,3304) yields a new equation:
% 34.63/9.08 | (3205) e11 = e10
% 34.63/9.08 |
% 34.63/9.08 | Simplifying 3205 yields:
% 34.63/9.08 | (3206) e11 = e10
% 34.63/9.08 |
% 34.63/9.08 | Equations (3206) can reduce 138 to:
% 34.63/9.08 | (401) $false
% 34.63/9.08 |
% 34.63/9.08 |-The branch is then unsatisfiable
% 34.63/9.08 |-Branch two:
% 34.63/9.08 | (3262) ~ (all_0_117_117 = e12)
% 34.63/9.08 | (3263) all_0_118_118 = e12
% 34.63/9.08 |
% 34.63/9.08 | Equations (3263) can reduce 3419 to:
% 34.63/9.08 | (401) $false
% 34.63/9.08 |
% 34.63/9.08 |-The branch is then unsatisfiable
% 34.63/9.08 |-Branch two:
% 34.63/9.08 | (3216) ~ (all_0_120_120 = e12)
% 34.63/9.08 | (3231) all_0_120_120 = e11
% 34.63/9.08 |
% 34.63/9.08 | Equations (3231) can reduce 3663 to:
% 34.63/9.08 | (401) $false
% 34.63/9.08 |
% 34.63/9.08 |-The branch is then unsatisfiable
% 34.63/9.08 |-Branch two:
% 34.63/9.08 | (3448) ~ (all_0_114_114 = e12)
% 34.63/9.08 | (3358) all_0_114_114 = e10
% 34.63/9.08 |
% 34.63/9.08 | Equations (3358) can reduce 3391 to:
% 34.63/9.08 | (401) $false
% 34.63/9.08 |
% 34.63/9.08 |-The branch is then unsatisfiable
% 34.68/9.08 |-Branch two:
% 34.68/9.08 | (3230) ~ (all_0_116_116 = e11)
% 34.68/9.08 | (3231) all_0_120_120 = e11
% 34.68/9.08 |
% 34.68/9.08 | Equations (3231) can reduce 3663 to:
% 34.68/9.08 | (401) $false
% 34.68/9.08 |
% 34.68/9.08 |-The branch is then unsatisfiable
% 34.68/9.08 |-Branch two:
% 34.68/9.08 | (3208) ~ (all_0_111_111 = e10)
% 34.68/9.08 | (3276) all_0_115_115 = e10 | all_0_119_119 = e10
% 34.68/9.08 |
% 34.68/9.08 +-Applying beta-rule and splitting (319), into two cases.
% 34.68/9.08 |-Branch one:
% 34.68/9.08 | (3328) all_0_119_119 = e10
% 34.68/9.08 |
% 34.68/9.08 | Combining equations (3404,3328) yields a new equation:
% 34.68/9.08 | (3205) e11 = e10
% 34.68/9.08 |
% 34.68/9.08 | Simplifying 3205 yields:
% 34.68/9.08 | (3206) e11 = e10
% 34.68/9.08 |
% 34.68/9.08 | Equations (3206) can reduce 138 to:
% 34.68/9.08 | (401) $false
% 34.68/9.08 |
% 34.68/9.08 |-The branch is then unsatisfiable
% 34.68/9.08 |-Branch two:
% 34.68/9.08 | (3414) ~ (all_0_119_119 = e10)
% 34.68/9.08 | (3415) all_0_121_121 = e10 | all_0_122_122 = e10
% 34.68/9.08 |
% 34.68/9.08 +-Applying beta-rule and splitting (3415), into two cases.
% 34.68/9.08 |-Branch one:
% 34.68/9.08 | (3438) all_0_121_121 = e10
% 34.68/9.08 |
% 34.68/9.08 | Equations (3438) can reduce 126 to:
% 34.68/9.08 | (3212) ~ (all_0_117_117 = e10)
% 34.68/9.08 |
% 34.68/9.09 | Equations (3438) can reduce 204 to:
% 34.68/9.09 | (3323) ~ (e13 = e10)
% 34.68/9.09 |
% 34.68/9.09 | Simplifying 3323 yields:
% 34.68/9.09 | (134) ~ (e13 = e10)
% 34.68/9.09 |
% 34.68/9.09 +-Applying beta-rule and splitting (57), into two cases.
% 34.68/9.09 |-Branch one:
% 34.68/9.09 | (3277) all_0_115_115 = e10
% 34.68/9.09 |
% 34.68/9.09 | Combining equations (3151,3277) yields a new equation:
% 34.68/9.09 | (3329) e13 = e10
% 34.68/9.09 |
% 34.68/9.09 | Simplifying 3329 yields:
% 34.68/9.09 | (3304) e13 = e10
% 34.68/9.09 |
% 34.68/9.09 | Equations (3304) can reduce 134 to:
% 34.68/9.09 | (401) $false
% 34.68/9.09 |
% 34.68/9.09 |-The branch is then unsatisfiable
% 34.68/9.09 |-Branch two:
% 34.68/9.09 | (3317) ~ (all_0_115_115 = e10)
% 34.68/9.09 | (3318) all_0_117_117 = e10 | all_0_118_118 = e10
% 34.68/9.09 |
% 34.68/9.09 +-Applying beta-rule and splitting (3318), into two cases.
% 34.68/9.09 |-Branch one:
% 34.68/9.09 | (3433) all_0_117_117 = e10
% 34.68/9.09 |
% 34.68/9.09 | Equations (3433) can reduce 3212 to:
% 34.68/9.09 | (401) $false
% 34.68/9.09 |
% 34.68/9.09 |-The branch is then unsatisfiable
% 34.68/9.09 |-Branch two:
% 34.68/9.09 | (3212) ~ (all_0_117_117 = e10)
% 34.68/9.09 | (3458) all_0_118_118 = e10
% 34.68/9.09 |
% 34.68/9.09 | Equations (3458) can reduce 3174 to:
% 34.68/9.09 | (3323) ~ (e13 = e10)
% 34.68/9.09 |
% 34.68/9.09 | Simplifying 3323 yields:
% 34.68/9.09 | (134) ~ (e13 = e10)
% 34.68/9.09 |
% 34.68/9.09 | Equations (3458) can reduce 164 to:
% 34.68/9.09 | (3283) ~ (e11 = e10)
% 34.68/9.09 |
% 34.68/9.09 | Simplifying 3283 yields:
% 34.68/9.09 | (138) ~ (e11 = e10)
% 34.68/9.09 |
% 34.68/9.09 +-Applying beta-rule and splitting (3276), into two cases.
% 34.68/9.09 |-Branch one:
% 34.68/9.09 | (3277) all_0_115_115 = e10
% 34.68/9.09 |
% 34.68/9.09 | Combining equations (3277,3151) yields a new equation:
% 34.68/9.09 | (3304) e13 = e10
% 34.68/9.09 |
% 34.68/9.09 | Equations (3304) can reduce 134 to:
% 34.68/9.09 | (401) $false
% 34.68/9.09 |
% 34.68/9.09 |-The branch is then unsatisfiable
% 34.68/9.09 |-Branch two:
% 34.68/9.09 | (3317) ~ (all_0_115_115 = e10)
% 34.68/9.09 | (3328) all_0_119_119 = e10
% 34.68/9.09 |
% 34.68/9.09 | Combining equations (3328,3404) yields a new equation:
% 34.68/9.09 | (3206) e11 = e10
% 34.68/9.09 |
% 34.68/9.09 | Equations (3206) can reduce 138 to:
% 34.68/9.09 | (401) $false
% 34.68/9.09 |
% 34.68/9.09 |-The branch is then unsatisfiable
% 34.68/9.09 |-Branch two:
% 34.68/9.09 | (3536) ~ (all_0_121_121 = e10)
% 34.68/9.09 | (3282) all_0_122_122 = e10
% 34.68/9.09 |
% 34.68/9.09 | Combining equations (3282,3195) yields a new equation:
% 34.68/9.09 | (3304) e13 = e10
% 34.68/9.09 |
% 34.68/9.09 | Equations (3304) can reduce 134 to:
% 34.68/9.09 | (401) $false
% 34.68/9.09 |
% 34.68/9.09 |-The branch is then unsatisfiable
% 34.68/9.09 |-Branch two:
% 34.68/9.09 | (3140) ~ (all_0_112_112 = e13)
% 34.68/9.09 | (4330) all_0_116_116 = e13 | all_0_120_120 = e13
% 34.68/9.09 |
% 34.68/9.09 +-Applying beta-rule and splitting (155), into two cases.
% 34.68/9.09 |-Branch one:
% 34.68/9.09 | (3162) all_0_111_111 = e13
% 34.68/9.09 |
% 34.68/9.09 | Equations (3162) can reduce 3156 to:
% 34.68/9.09 | (401) $false
% 34.68/9.09 |
% 34.68/9.09 |-The branch is then unsatisfiable
% 34.68/9.09 |-Branch two:
% 34.68/9.09 | (3156) ~ (all_0_111_111 = e13)
% 34.68/9.09 | (3165) all_0_112_112 = e13 | all_0_114_114 = e13
% 34.68/9.09 |
% 34.68/9.09 +-Applying beta-rule and splitting (3165), into two cases.
% 34.68/9.09 |-Branch one:
% 34.68/9.09 | (3166) all_0_112_112 = e13
% 34.68/9.09 |
% 34.68/9.09 | Equations (3166) can reduce 3140 to:
% 34.68/9.09 | (401) $false
% 34.68/9.09 |
% 34.68/9.09 |-The branch is then unsatisfiable
% 34.68/9.09 |-Branch two:
% 34.68/9.09 | (3140) ~ (all_0_112_112 = e13)
% 34.68/9.09 | (3169) all_0_114_114 = e13
% 34.68/9.09 |
% 34.68/9.09 | Equations (3169) can reduce 273 to:
% 34.68/9.09 | (3156) ~ (all_0_111_111 = e13)
% 34.68/9.09 |
% 34.68/9.09 | Equations (3169) can reduce 25 to:
% 34.68/9.09 | (177) ~ (all_0_113_113 = e13)
% 34.68/9.09 |
% 34.68/9.09 | Equations (3169) can reduce 249 to:
% 34.68/9.09 | (3173) ~ (all_0_118_118 = e13)
% 34.68/9.09 |
% 34.68/9.09 | Simplifying 3173 yields:
% 34.68/9.09 | (3174) ~ (all_0_118_118 = e13)
% 34.68/9.09 |
% 34.68/9.09 | Equations (3169) can reduce 55 to:
% 34.68/9.09 | (34) ~ (e13 = e11)
% 34.68/9.09 |
% 34.68/9.09 | From (3169) and (145) follows:
% 34.68/9.09 | (4078) op1(e13, e10) = e13
% 34.68/9.09 |
% 34.68/9.09 +-Applying beta-rule and splitting (4330), into two cases.
% 34.68/9.09 |-Branch one:
% 34.68/9.09 | (3139) all_0_116_116 = e13
% 34.68/9.09 |
% 34.68/9.09 | Equations (3139) can reduce 3766 to:
% 34.68/9.09 | (401) $false
% 34.68/9.09 |
% 34.68/9.09 |-The branch is then unsatisfiable
% 34.68/9.09 |-Branch two:
% 34.68/9.09 | (3766) ~ (all_0_116_116 = e13)
% 34.68/9.09 | (3183) all_0_120_120 = e13
% 34.68/9.09 |
% 34.68/9.09 | Equations (3183) can reduce 94 to:
% 34.68/9.09 | (3140) ~ (all_0_112_112 = e13)
% 34.68/9.09 |
% 34.68/9.09 | Equations (3183) can reduce 258 to:
% 34.68/9.10 | (3754) ~ (all_0_119_119 = e13)
% 34.68/9.10 |
% 34.68/9.10 | Equations (3183) can reduce 333 to:
% 34.68/9.10 | (4351) ~ (all_0_121_121 = e13)
% 34.68/9.10 |
% 34.68/9.10 | Simplifying 4351 yields:
% 34.68/9.10 | (204) ~ (all_0_121_121 = e13)
% 34.68/9.10 |
% 34.68/9.10 | Equations (3183) can reduce 262 to:
% 34.68/9.10 | (3175) ~ (all_0_122_122 = e13)
% 34.68/9.10 |
% 34.68/9.10 | Simplifying 3175 yields:
% 34.68/9.10 | (3176) ~ (all_0_122_122 = e13)
% 34.68/9.10 |
% 34.68/9.10 | Equations (3183) can reduce 235 to:
% 34.68/9.10 | (134) ~ (e13 = e10)
% 34.68/9.10 |
% 34.68/9.10 | From (3183) and (70) follows:
% 34.68/9.10 | (4356) op1(e10, e12) = e13
% 34.68/9.10 |
% 34.68/9.10 +-Applying beta-rule and splitting (288), into two cases.
% 34.68/9.10 |-Branch one:
% 34.68/9.10 | (3195) all_0_122_122 = e13
% 34.68/9.10 |
% 34.68/9.10 | Equations (3195) can reduce 3176 to:
% 34.68/9.10 | (401) $false
% 34.68/9.10 |
% 34.68/9.10 |-The branch is then unsatisfiable
% 34.68/9.10 |-Branch two:
% 34.68/9.10 | (3176) ~ (all_0_122_122 = e13)
% 34.68/9.10 | (3198) all_0_122_122 = e12 | all_0_122_122 = e10
% 34.68/9.10 |
% 34.68/9.10 +-Applying beta-rule and splitting (153), into two cases.
% 34.68/9.10 |-Branch one:
% 34.68/9.10 | (3162) all_0_111_111 = e13
% 34.68/9.10 |
% 34.68/9.10 | Equations (3162) can reduce 3156 to:
% 34.68/9.10 | (401) $false
% 34.68/9.10 |
% 34.68/9.10 |-The branch is then unsatisfiable
% 34.68/9.10 |-Branch two:
% 34.68/9.10 | (3156) ~ (all_0_111_111 = e13)
% 34.68/9.10 | (3190) all_0_111_111 = e11 | all_0_111_111 = e10
% 34.68/9.10 |
% 34.68/9.10 +-Applying beta-rule and splitting (225), into two cases.
% 34.68/9.10 |-Branch one:
% 34.68/9.10 | (3801) all_0_118_118 = e13
% 34.68/9.10 |
% 34.68/9.10 | Equations (3801) can reduce 3174 to:
% 34.68/9.10 | (401) $false
% 34.68/9.10 |
% 34.68/9.10 |-The branch is then unsatisfiable
% 34.68/9.10 |-Branch two:
% 34.68/9.10 | (3174) ~ (all_0_118_118 = e13)
% 34.68/9.10 | (3819) all_0_118_118 = e12 | all_0_118_118 = e10
% 34.68/9.10 |
% 34.68/9.10 +-Applying beta-rule and splitting (56), into two cases.
% 34.68/9.10 |-Branch one:
% 34.68/9.10 | (3166) all_0_112_112 = e13
% 34.68/9.10 |
% 34.68/9.10 | Equations (3166) can reduce 3140 to:
% 34.68/9.10 | (401) $false
% 34.68/9.10 |
% 34.68/9.10 |-The branch is then unsatisfiable
% 34.68/9.10 |-Branch two:
% 34.68/9.10 | (3140) ~ (all_0_112_112 = e13)
% 34.68/9.10 | (3194) all_0_112_112 = e12 | all_0_112_112 = e11
% 34.68/9.10 |
% 34.68/9.10 +-Applying beta-rule and splitting (66), into two cases.
% 34.68/9.10 |-Branch one:
% 34.68/9.10 | (3155) all_0_119_119 = e13
% 34.68/9.10 |
% 34.68/9.10 | Equations (3155) can reduce 3754 to:
% 34.68/9.10 | (401) $false
% 34.68/9.10 |
% 34.68/9.10 |-The branch is then unsatisfiable
% 34.68/9.10 |-Branch two:
% 34.68/9.10 | (3754) ~ (all_0_119_119 = e13)
% 34.68/9.10 | (3815) all_0_119_119 = e11 | all_0_119_119 = e10
% 34.68/9.10 |
% 34.68/9.10 +-Applying beta-rule and splitting (222), into two cases.
% 34.68/9.10 |-Branch one:
% 34.68/9.10 | (3364) all_0_115_115 = e11
% 34.68/9.10 |
% 34.68/9.10 | Combining equations (3151,3364) yields a new equation:
% 34.68/9.10 | (3227) e13 = e11
% 34.68/9.10 |
% 34.68/9.10 | Simplifying 3227 yields:
% 34.68/9.10 | (3228) e13 = e11
% 34.68/9.10 |
% 34.68/9.10 | Equations (3228) can reduce 34 to:
% 34.68/9.10 | (401) $false
% 34.68/9.10 |
% 34.68/9.10 |-The branch is then unsatisfiable
% 34.68/9.10 |-Branch two:
% 34.68/9.10 | (3750) ~ (all_0_115_115 = e11)
% 34.68/9.10 | (4005) all_0_116_116 = e11 | all_0_117_117 = e11
% 34.68/9.10 |
% 34.68/9.10 +-Applying beta-rule and splitting (143), into two cases.
% 34.68/9.10 |-Branch one:
% 34.68/9.10 | (3214) all_0_112_112 = e12
% 34.68/9.10 |
% 34.68/9.10 | Equations (3214) can reduce 248 to:
% 34.68/9.10 | (4384) ~ (all_0_113_113 = e12)
% 34.68/9.10 |
% 34.68/9.10 | Simplifying 4384 yields:
% 34.68/9.10 | (3352) ~ (all_0_113_113 = e12)
% 34.68/9.10 |
% 34.68/9.10 | Equations (3214) can reduce 187 to:
% 34.68/9.10 | (4386) ~ (all_0_116_116 = e12)
% 34.68/9.10 |
% 34.68/9.10 | Simplifying 4386 yields:
% 34.68/9.10 | (3256) ~ (all_0_116_116 = e12)
% 34.68/9.10 |
% 34.68/9.10 | From (3214) and (32) follows:
% 34.68/9.10 | (4388) op1(e13, e12) = e12
% 34.68/9.10 |
% 34.68/9.10 +-Applying beta-rule and splitting (3779), into two cases.
% 34.68/9.10 |-Branch one:
% 34.68/9.10 | (3253) all_0_116_116 = e12
% 34.68/9.10 |
% 34.68/9.10 | Equations (3253) can reduce 3256 to:
% 34.68/9.10 | (401) $false
% 34.68/9.10 |
% 34.68/9.10 |-The branch is then unsatisfiable
% 34.68/9.10 |-Branch two:
% 34.68/9.10 | (3256) ~ (all_0_116_116 = e12)
% 34.68/9.10 | (3226) all_0_116_116 = e11
% 34.68/9.10 |
% 34.68/9.10 | Equations (3226) can reduce 95 to:
% 34.68/9.10 | (3366) ~ (all_0_117_117 = e11)
% 34.68/9.10 |
% 34.68/9.10 | Simplifying 3366 yields:
% 34.68/9.10 | (3344) ~ (all_0_117_117 = e11)
% 34.68/9.10 |
% 34.68/9.10 | Equations (3226) can reduce 336 to:
% 34.68/9.10 | (3247) ~ (all_0_118_118 = e11)
% 34.68/9.10 |
% 34.68/9.10 | Simplifying 3247 yields:
% 34.68/9.10 | (164) ~ (all_0_118_118 = e11)
% 34.68/9.10 |
% 34.68/9.10 | From (3226) and (226) follows:
% 34.68/9.10 | (3874) op1(e12, e12) = e11
% 34.68/9.10 |
% 34.68/9.10 +-Applying beta-rule and splitting (316), into two cases.
% 34.68/9.10 |-Branch one:
% 34.68/9.10 | (3258) all_0_117_117 = e12
% 34.68/9.10 |
% 34.68/9.10 | Equations (3258) can reduce 192 to:
% 34.68/9.10 | (3418) ~ (all_0_118_118 = e12)
% 34.68/9.10 |
% 34.68/9.10 | Simplifying 3418 yields:
% 34.68/9.10 | (3419) ~ (all_0_118_118 = e12)
% 34.68/9.10 |
% 34.68/9.10 | Equations (3258) can reduce 126 to:
% 34.68/9.10 | (3652) ~ (all_0_121_121 = e12)
% 34.68/9.10 |
% 34.68/9.10 | Simplifying 3652 yields:
% 34.68/9.10 | (3332) ~ (all_0_121_121 = e12)
% 34.68/9.10 |
% 34.68/9.10 | Equations (3258) can reduce 29 to:
% 34.68/9.10 | (3217) ~ (e13 = e12)
% 34.68/9.10 |
% 34.68/9.10 | Simplifying 3217 yields:
% 34.68/9.10 | (76) ~ (e13 = e12)
% 34.68/9.10 |
% 34.68/9.10 | From (3258) and (345) follows:
% 34.68/9.10 | (3303) op1(e12, e11) = e12
% 34.68/9.10 |
% 34.68/9.10 +-Applying beta-rule and splitting (357), into two cases.
% 34.68/9.10 |-Branch one:
% 34.68/9.10 | (3353) all_0_114_114 = e12
% 34.68/9.10 |
% 34.68/9.10 | Combining equations (3353,3169) yields a new equation:
% 34.68/9.10 | (3254) e13 = e12
% 34.68/9.10 |
% 34.68/9.10 | Equations (3254) can reduce 76 to:
% 34.68/9.10 | (401) $false
% 34.68/9.10 |
% 34.68/9.10 |-The branch is then unsatisfiable
% 34.68/9.10 |-Branch two:
% 34.68/9.10 | (3448) ~ (all_0_114_114 = e12)
% 34.68/9.10 | (3449) all_0_118_118 = e12 | all_0_122_122 = e12
% 34.68/9.10 |
% 34.68/9.10 | Equations (3169) can reduce 3448 to:
% 34.68/9.10 | (76) ~ (e13 = e12)
% 34.68/9.10 |
% 34.68/9.10 +-Applying beta-rule and splitting (325), into two cases.
% 34.68/9.10 |-Branch one:
% 34.68/9.10 | (3334) all_0_120_120 = e12
% 34.68/9.10 |
% 34.68/9.10 | Combining equations (3334,3183) yields a new equation:
% 34.68/9.10 | (3254) e13 = e12
% 34.68/9.10 |
% 34.68/9.10 | Equations (3254) can reduce 76 to:
% 34.68/9.10 | (401) $false
% 34.68/9.10 |
% 34.68/9.10 |-The branch is then unsatisfiable
% 34.68/9.10 |-Branch two:
% 34.68/9.10 | (3216) ~ (all_0_120_120 = e12)
% 34.68/9.10 | (3338) all_0_121_121 = e12 | all_0_122_122 = e12
% 34.68/9.10 |
% 34.68/9.10 +-Applying beta-rule and splitting (3819), into two cases.
% 34.68/9.10 |-Branch one:
% 34.68/9.10 | (3263) all_0_118_118 = e12
% 34.68/9.10 |
% 34.68/9.10 | Equations (3263) can reduce 3419 to:
% 34.68/9.10 | (401) $false
% 34.68/9.11 |
% 34.68/9.11 |-The branch is then unsatisfiable
% 34.68/9.11 |-Branch two:
% 34.68/9.11 | (3419) ~ (all_0_118_118 = e12)
% 34.68/9.11 | (3458) all_0_118_118 = e10
% 34.68/9.11 |
% 34.68/9.11 | Equations (3458) can reduce 286 to:
% 34.68/9.11 | (3439) ~ (all_0_122_122 = e10)
% 34.68/9.11 |
% 34.68/9.11 | Simplifying 3439 yields:
% 34.68/9.11 | (3440) ~ (all_0_122_122 = e10)
% 34.68/9.11 |
% 34.68/9.11 | Equations (3458) can reduce 164 to:
% 34.68/9.11 | (3283) ~ (e11 = e10)
% 34.68/9.11 |
% 34.68/9.11 | Simplifying 3283 yields:
% 34.68/9.11 | (138) ~ (e11 = e10)
% 34.68/9.11 |
% 34.68/9.11 +-Applying beta-rule and splitting (3338), into two cases.
% 34.68/9.11 |-Branch one:
% 34.68/9.11 | (3267) all_0_121_121 = e12
% 34.68/9.11 |
% 34.68/9.11 | Equations (3267) can reduce 3332 to:
% 34.68/9.11 | (401) $false
% 34.68/9.11 |
% 34.68/9.11 |-The branch is then unsatisfiable
% 34.68/9.11 |-Branch two:
% 34.68/9.11 | (3332) ~ (all_0_121_121 = e12)
% 34.68/9.11 | (3279) all_0_122_122 = e12
% 34.68/9.11 |
% 34.68/9.11 | Equations (3279) can reduce 147 to:
% 34.68/9.11 | (208) ~ (e12 = e11)
% 34.68/9.11 |
% 34.68/9.11 | Equations (3279) can reduce 3440 to:
% 34.68/9.11 | (159) ~ (e12 = e10)
% 34.68/9.11 |
% 34.68/9.11 | From (3279) and (6) follows:
% 34.68/9.11 | (3469) op1(e10, e10) = e12
% 34.68/9.11 |
% 34.68/9.11 +-Applying beta-rule and splitting (72), into two cases.
% 34.68/9.11 |-Branch one:
% 34.68/9.11 | (3210) all_0_113_113 = e10
% 34.68/9.11 |
% 34.68/9.11 | From (3210) and (148) follows:
% 34.68/9.11 | (3213) op1(e13, e11) = e10
% 34.68/9.11 |
% 34.68/9.11 +-Applying beta-rule and splitting (133), into two cases.
% 34.68/9.11 |-Branch one:
% 34.68/9.11 | (3240) all_0_113_113 = e11
% 34.68/9.11 |
% 34.68/9.11 | Combining equations (3240,3210) yields a new equation:
% 34.68/9.11 | (3205) e11 = e10
% 34.68/9.11 |
% 34.68/9.11 | Simplifying 3205 yields:
% 34.68/9.11 | (3206) e11 = e10
% 34.68/9.11 |
% 34.68/9.11 | Equations (3206) can reduce 138 to:
% 34.68/9.11 | (401) $false
% 34.68/9.11 |
% 34.68/9.11 |-The branch is then unsatisfiable
% 34.68/9.11 |-Branch two:
% 34.68/9.11 | (3244) ~ (all_0_113_113 = e11)
% 34.68/9.11 | (3245) all_0_117_117 = e11 | all_0_121_121 = e11
% 34.68/9.11 |
% 34.68/9.11 +-Applying beta-rule and splitting (3245), into two cases.
% 34.68/9.11 |-Branch one:
% 34.68/9.11 | (3246) all_0_117_117 = e11
% 34.68/9.11 |
% 34.68/9.11 | Combining equations (3246,3258) yields a new equation:
% 34.68/9.11 | (3222) e12 = e11
% 34.68/9.11 |
% 34.68/9.11 | Equations (3222) can reduce 208 to:
% 34.68/9.11 | (401) $false
% 34.68/9.11 |
% 34.68/9.11 |-The branch is then unsatisfiable
% 34.68/9.11 |-Branch two:
% 34.68/9.11 | (3344) ~ (all_0_117_117 = e11)
% 34.68/9.11 | (3345) all_0_121_121 = e11
% 34.68/9.11 |
% 34.68/9.11 | Equations (3345) can reduce 173 to:
% 34.68/9.11 | (3408) ~ (all_0_119_119 = e11)
% 34.68/9.11 |
% 34.68/9.11 | Equations (3345) can reduce 204 to:
% 34.68/9.11 | (3202) ~ (e13 = e11)
% 34.68/9.11 |
% 34.68/9.11 | Simplifying 3202 yields:
% 34.68/9.11 | (34) ~ (e13 = e11)
% 34.68/9.11 |
% 34.68/9.11 +-Applying beta-rule and splitting (3815), into two cases.
% 34.68/9.11 |-Branch one:
% 34.68/9.11 | (3404) all_0_119_119 = e11
% 34.68/9.11 |
% 34.68/9.11 | Equations (3404) can reduce 3408 to:
% 34.68/9.11 | (401) $false
% 34.68/9.11 |
% 34.68/9.11 |-The branch is then unsatisfiable
% 34.68/9.11 |-Branch two:
% 34.68/9.11 | (3408) ~ (all_0_119_119 = e11)
% 34.68/9.11 | (3328) all_0_119_119 = e10
% 34.68/9.11 |
% 34.68/9.11 | Equations (3328) can reduce 14 to:
% 34.68/9.11 | (3208) ~ (all_0_111_111 = e10)
% 34.68/9.11 |
% 34.68/9.11 | Equations (3328) can reduce 3408 to:
% 34.68/9.11 | (3283) ~ (e11 = e10)
% 34.68/9.11 |
% 34.68/9.11 | Simplifying 3283 yields:
% 34.68/9.11 | (138) ~ (e11 = e10)
% 34.68/9.11 |
% 34.68/9.11 | From (3328) and (315) follows:
% 34.68/9.11 | (4455) op1(e10, e13) = e10
% 34.68/9.11 |
% 34.68/9.11 +-Applying beta-rule and splitting (185), into two cases.
% 34.68/9.11 |-Branch one:
% 34.68/9.11 | (3199) all_0_111_111 = e11
% 34.68/9.11 |
% 34.68/9.11 | Equations (3199) can reduce 3208 to:
% 34.68/9.11 | (138) ~ (e11 = e10)
% 34.68/9.11 |
% 34.68/9.11 | From (3199) and (255) follows:
% 34.68/9.11 | (3841) op1(e13, e13) = e11
% 34.68/9.11 |
% 34.68/9.11 +-Applying beta-rule and splitting (272), into two cases.
% 34.68/9.11 |-Branch one:
% 34.68/9.11 | (3285) unit1 = e13
% 34.68/9.11 |
% 34.68/9.11 | From (3285) and (189) follows:
% 34.68/9.11 | (4043) op1(e13, e10) = e10
% 34.68/9.11 |
% 34.68/9.11 | From (3285) and (206) follows:
% 34.68/9.11 | (3900) op1(e13, e13) = e13
% 34.68/9.11 |
% 34.68/9.11 | Instantiating formula (291) with e13, e13, e13, e11 and discharging atoms op1(e13, e13) = e13, op1(e13, e13) = e11, yields:
% 34.68/9.11 | (3228) e13 = e11
% 34.68/9.11 |
% 34.68/9.11 | Instantiating formula (291) with e13, e10, e10, e13 and discharging atoms op1(e13, e10) = e13, op1(e13, e10) = e10, yields:
% 34.68/9.11 | (3304) e13 = e10
% 34.68/9.11 |
% 34.68/9.11 | Combining equations (3304,3228) yields a new equation:
% 34.68/9.11 | (3206) e11 = e10
% 34.68/9.11 |
% 34.68/9.11 | Equations (3206) can reduce 138 to:
% 34.68/9.11 | (401) $false
% 34.68/9.11 |
% 34.68/9.11 |-The branch is then unsatisfiable
% 34.68/9.11 |-Branch two:
% 34.68/9.11 | (3292) ~ (unit1 = e13)
% 34.68/9.11 | (3293) unit1 = e12 | unit1 = e11 | unit1 = e10
% 34.68/9.11 |
% 34.68/9.11 +-Applying beta-rule and splitting (3293), into two cases.
% 34.68/9.11 |-Branch one:
% 34.68/9.11 | (3294) unit1 = e12
% 34.68/9.11 |
% 34.68/9.11 | From (3294) and (92) follows:
% 34.68/9.11 | (3252) op1(e12, e11) = e11
% 34.68/9.11 |
% 34.68/9.11 | From (3294) and (206) follows:
% 34.68/9.11 | (4470) op1(e13, e12) = e13
% 34.68/9.11 |
% 34.68/9.11 | From (3294) and (207) follows:
% 34.68/9.11 | (3295) op1(e10, e12) = e10
% 34.68/9.11 |
% 34.68/9.11 | Instantiating formula (291) with e13, e12, e13, e12 and discharging atoms op1(e13, e12) = e13, op1(e13, e12) = e12, yields:
% 34.68/9.11 | (3254) e13 = e12
% 34.68/9.11 |
% 34.68/9.11 | Instantiating formula (291) with e12, e11, e11, e12 and discharging atoms op1(e12, e11) = e12, op1(e12, e11) = e11, yields:
% 34.68/9.11 | (3222) e12 = e11
% 34.68/9.11 |
% 34.68/9.11 | Instantiating formula (291) with e10, e12, e10, e13 and discharging atoms op1(e10, e12) = e13, op1(e10, e12) = e10, yields:
% 34.68/9.11 | (3304) e13 = e10
% 34.68/9.11 |
% 34.68/9.11 | Combining equations (3254,3304) yields a new equation:
% 34.68/9.11 | (3307) e12 = e10
% 34.68/9.11 |
% 34.68/9.11 | Simplifying 3307 yields:
% 34.68/9.11 | (3288) e12 = e10
% 34.68/9.11 |
% 34.68/9.11 | Combining equations (3288,3222) yields a new equation:
% 34.68/9.11 | (3206) e11 = e10
% 34.68/9.11 |
% 34.68/9.11 | Equations (3206) can reduce 138 to:
% 34.68/9.11 | (401) $false
% 34.68/9.11 |
% 34.68/9.11 |-The branch is then unsatisfiable
% 34.68/9.11 |-Branch two:
% 34.68/9.11 | (3298) ~ (unit1 = e12)
% 34.68/9.11 | (3299) unit1 = e11 | unit1 = e10
% 34.68/9.11 |
% 34.68/9.11 +-Applying beta-rule and splitting (3299), into two cases.
% 34.68/9.11 |-Branch one:
% 34.68/9.11 | (3300) unit1 = e11
% 34.68/9.11 |
% 34.68/9.11 | From (3300) and (205) follows:
% 34.68/9.11 | (3301) op1(e11, e13) = e13
% 34.68/9.11 |
% 34.68/9.11 | From (3300) and (206) follows:
% 34.68/9.12 | (3302) op1(e13, e11) = e13
% 34.68/9.12 |
% 34.68/9.12 | From (3300) and (246) follows:
% 34.68/9.12 | (3485) op1(e11, e11) = e11
% 34.68/9.12 |
% 34.68/9.12 | Instantiating formula (291) with e13, e11, e13, e10 and discharging atoms op1(e13, e11) = e13, op1(e13, e11) = e10, yields:
% 34.68/9.12 | (3304) e13 = e10
% 34.68/9.12 |
% 34.68/9.12 | Instantiating formula (291) with e11, e13, e13, e12 and discharging atoms op1(e11, e13) = e13, op1(e11, e13) = e12, yields:
% 34.68/9.12 | (3254) e13 = e12
% 34.68/9.12 |
% 34.68/9.12 | Instantiating formula (291) with e11, e11, e11, e13 and discharging atoms op1(e11, e11) = e13, op1(e11, e11) = e11, yields:
% 34.68/9.12 | (3228) e13 = e11
% 34.68/9.12 |
% 34.68/9.12 | Combining equations (3304,3254) yields a new equation:
% 34.68/9.12 | (3288) e12 = e10
% 34.68/9.12 |
% 34.68/9.12 | Combining equations (3228,3254) yields a new equation:
% 34.68/9.12 | (3222) e12 = e11
% 34.68/9.12 |
% 34.68/9.12 | Combining equations (3222,3288) yields a new equation:
% 34.68/9.12 | (3205) e11 = e10
% 34.68/9.12 |
% 34.68/9.12 | Simplifying 3205 yields:
% 34.68/9.12 | (3206) e11 = e10
% 34.68/9.12 |
% 34.68/9.12 | Equations (3206) can reduce 138 to:
% 34.68/9.12 | (401) $false
% 34.68/9.12 |
% 34.68/9.12 |-The branch is then unsatisfiable
% 34.68/9.12 |-Branch two:
% 34.68/9.12 | (3312) ~ (unit1 = e11)
% 34.68/9.12 | (3313) unit1 = e10
% 34.68/9.12 |
% 34.68/9.12 | Equations (3313) can reduce 3298 to:
% 34.68/9.12 | (3459) ~ (e12 = e10)
% 34.68/9.12 |
% 34.68/9.12 | Simplifying 3459 yields:
% 34.68/9.12 | (159) ~ (e12 = e10)
% 34.68/9.12 |
% 34.68/9.12 | From (3313) and (205) follows:
% 34.68/9.12 | (4273) op1(e10, e13) = e13
% 34.68/9.12 |
% 34.68/9.12 | From (3313) and (362) follows:
% 34.68/9.12 | (3497) op1(e10, e12) = e12
% 34.68/9.12 |
% 34.68/9.12 | Instantiating formula (291) with e10, e13, e13, e10 and discharging atoms op1(e10, e13) = e13, op1(e10, e13) = e10, yields:
% 34.68/9.12 | (3304) e13 = e10
% 34.68/9.12 |
% 34.68/9.12 | Instantiating formula (291) with e10, e12, e12, e13 and discharging atoms op1(e10, e12) = e13, op1(e10, e12) = e12, yields:
% 34.68/9.12 | (3254) e13 = e12
% 34.68/9.12 |
% 34.68/9.12 | Combining equations (3254,3304) yields a new equation:
% 34.68/9.12 | (3307) e12 = e10
% 34.68/9.12 |
% 34.68/9.12 | Simplifying 3307 yields:
% 34.68/9.12 | (3288) e12 = e10
% 34.68/9.12 |
% 34.68/9.12 | Equations (3288) can reduce 159 to:
% 34.68/9.12 | (401) $false
% 34.68/9.12 |
% 34.68/9.12 |-The branch is then unsatisfiable
% 34.68/9.12 |-Branch two:
% 34.68/9.12 | (3362) ~ (all_0_111_111 = e11)
% 34.68/9.12 | (3363) all_0_115_115 = e11 | all_0_119_119 = e11
% 34.68/9.12 |
% 34.68/9.12 +-Applying beta-rule and splitting (3363), into two cases.
% 34.68/9.12 |-Branch one:
% 34.68/9.12 | (3364) all_0_115_115 = e11
% 34.68/9.12 |
% 34.68/9.12 | Combining equations (3364,3151) yields a new equation:
% 34.68/9.12 | (3228) e13 = e11
% 34.68/9.12 |
% 34.68/9.12 | Equations (3228) can reduce 34 to:
% 34.68/9.12 | (401) $false
% 34.68/9.12 |
% 34.68/9.12 |-The branch is then unsatisfiable
% 34.68/9.12 |-Branch two:
% 34.68/9.12 | (3750) ~ (all_0_115_115 = e11)
% 34.68/9.12 | (3404) all_0_119_119 = e11
% 34.68/9.12 |
% 34.68/9.12 | Combining equations (3328,3404) yields a new equation:
% 34.68/9.12 | (3206) e11 = e10
% 34.68/9.12 |
% 34.68/9.12 | Equations (3206) can reduce 138 to:
% 34.68/9.12 | (401) $false
% 34.68/9.12 |
% 34.68/9.12 |-The branch is then unsatisfiable
% 34.68/9.12 |-Branch two:
% 34.68/9.12 | (3357) ~ (all_0_113_113 = e10)
% 34.68/9.12 | (3403) all_0_117_117 = e10 | all_0_121_121 = e10
% 34.68/9.12 |
% 34.68/9.12 +-Applying beta-rule and splitting (3403), into two cases.
% 34.68/9.12 |-Branch one:
% 34.68/9.12 | (3433) all_0_117_117 = e10
% 34.68/9.12 |
% 34.68/9.12 | Combining equations (3258,3433) yields a new equation:
% 34.68/9.12 | (3307) e12 = e10
% 34.68/9.12 |
% 34.68/9.12 | Simplifying 3307 yields:
% 34.68/9.12 | (3288) e12 = e10
% 34.68/9.12 |
% 34.68/9.12 | Equations (3288) can reduce 159 to:
% 34.68/9.12 | (401) $false
% 34.68/9.12 |
% 34.68/9.12 |-The branch is then unsatisfiable
% 34.68/9.12 |-Branch two:
% 34.68/9.12 | (3212) ~ (all_0_117_117 = e10)
% 34.68/9.12 | (3438) all_0_121_121 = e10
% 34.68/9.12 |
% 34.68/9.12 | Equations (3438) can reduce 173 to:
% 34.68/9.12 | (3414) ~ (all_0_119_119 = e10)
% 34.68/9.12 |
% 34.68/9.12 +-Applying beta-rule and splitting (320), into two cases.
% 34.68/9.12 |-Branch one:
% 34.68/9.12 | (3404) all_0_119_119 = e11
% 34.68/9.12 |
% 34.68/9.12 | Equations (3404) can reduce 14 to:
% 34.68/9.12 | (3362) ~ (all_0_111_111 = e11)
% 34.68/9.12 |
% 34.68/9.12 | From (3404) and (315) follows:
% 34.68/9.12 | (4199) op1(e10, e13) = e11
% 34.68/9.12 |
% 34.68/9.12 +-Applying beta-rule and splitting (194), into two cases.
% 34.68/9.12 |-Branch one:
% 34.68/9.12 | (3204) all_0_111_111 = e10
% 34.68/9.12 |
% 34.68/9.12 | Equations (3204) can reduce 3362 to:
% 34.68/9.12 | (3283) ~ (e11 = e10)
% 34.68/9.12 |
% 34.68/9.12 | Simplifying 3283 yields:
% 34.68/9.12 | (138) ~ (e11 = e10)
% 34.68/9.12 |
% 34.68/9.12 +-Applying beta-rule and splitting (272), into two cases.
% 34.68/9.12 |-Branch one:
% 34.68/9.12 | (3285) unit1 = e13
% 34.68/9.12 |
% 34.68/9.12 | From (3285) and (189) follows:
% 34.68/9.12 | (4043) op1(e13, e10) = e10
% 34.68/9.12 |
% 34.68/9.12 | From (3285) and (136) follows:
% 34.68/9.12 | (3286) op1(e12, e13) = e12
% 34.68/9.12 |
% 34.68/9.12 | From (3285) and (246) follows:
% 34.68/9.12 | (3287) op1(e11, e13) = e11
% 34.68/9.12 |
% 34.68/9.12 | Instantiating formula (291) with e13, e10, e10, e13 and discharging atoms op1(e13, e10) = e13, op1(e13, e10) = e10, yields:
% 34.68/9.12 | (3304) e13 = e10
% 34.68/9.12 |
% 34.68/9.12 | Instantiating formula (291) with e12, e13, e12, e13 and discharging atoms op1(e12, e13) = e13, op1(e12, e13) = e12, yields:
% 34.68/9.12 | (3254) e13 = e12
% 34.68/9.12 |
% 34.68/9.12 | Instantiating formula (291) with e11, e13, e11, e12 and discharging atoms op1(e11, e13) = e12, op1(e11, e13) = e11, yields:
% 34.68/9.13 | (3222) e12 = e11
% 34.68/9.13 |
% 34.68/9.13 | Combining equations (3254,3304) yields a new equation:
% 34.68/9.13 | (3307) e12 = e10
% 34.68/9.13 |
% 34.68/9.13 | Simplifying 3307 yields:
% 34.68/9.13 | (3288) e12 = e10
% 34.68/9.13 |
% 34.68/9.13 | Combining equations (3288,3222) yields a new equation:
% 34.68/9.13 | (3206) e11 = e10
% 34.68/9.13 |
% 34.68/9.13 | Equations (3206) can reduce 138 to:
% 34.68/9.13 | (401) $false
% 34.68/9.13 |
% 34.68/9.13 |-The branch is then unsatisfiable
% 34.68/9.13 |-Branch two:
% 34.68/9.13 | (3292) ~ (unit1 = e13)
% 34.68/9.13 | (3293) unit1 = e12 | unit1 = e11 | unit1 = e10
% 34.68/9.13 |
% 34.68/9.13 +-Applying beta-rule and splitting (3293), into two cases.
% 34.68/9.13 |-Branch one:
% 34.68/9.13 | (3294) unit1 = e12
% 34.68/9.13 |
% 34.68/9.13 | From (3294) and (92) follows:
% 34.68/9.13 | (3252) op1(e12, e11) = e11
% 34.68/9.13 |
% 34.68/9.13 | From (3294) and (206) follows:
% 34.68/9.13 | (4470) op1(e13, e12) = e13
% 34.68/9.13 |
% 34.68/9.13 | From (3294) and (207) follows:
% 34.68/9.13 | (3295) op1(e10, e12) = e10
% 34.68/9.13 |
% 34.68/9.13 | Instantiating formula (291) with e13, e12, e13, e12 and discharging atoms op1(e13, e12) = e13, op1(e13, e12) = e12, yields:
% 34.68/9.13 | (3254) e13 = e12
% 34.68/9.13 |
% 34.68/9.13 | Instantiating formula (291) with e12, e11, e11, e12 and discharging atoms op1(e12, e11) = e12, op1(e12, e11) = e11, yields:
% 34.68/9.13 | (3222) e12 = e11
% 34.68/9.13 |
% 34.68/9.13 | Instantiating formula (291) with e10, e12, e10, e13 and discharging atoms op1(e10, e12) = e13, op1(e10, e12) = e10, yields:
% 34.68/9.13 | (3304) e13 = e10
% 34.68/9.13 |
% 34.68/9.13 | Combining equations (3254,3304) yields a new equation:
% 34.68/9.13 | (3307) e12 = e10
% 34.68/9.13 |
% 34.68/9.13 | Simplifying 3307 yields:
% 34.68/9.13 | (3288) e12 = e10
% 34.68/9.13 |
% 34.68/9.13 | Combining equations (3288,3222) yields a new equation:
% 34.68/9.13 | (3206) e11 = e10
% 34.68/9.13 |
% 34.68/9.13 | Equations (3206) can reduce 138 to:
% 34.68/9.13 | (401) $false
% 34.68/9.13 |
% 34.68/9.13 |-The branch is then unsatisfiable
% 34.68/9.13 |-Branch two:
% 34.68/9.13 | (3298) ~ (unit1 = e12)
% 34.68/9.13 | (3299) unit1 = e11 | unit1 = e10
% 34.68/9.13 |
% 34.68/9.13 +-Applying beta-rule and splitting (3299), into two cases.
% 34.68/9.13 |-Branch one:
% 34.68/9.13 | (3300) unit1 = e11
% 34.68/9.13 |
% 34.68/9.13 | From (3300) and (205) follows:
% 34.68/9.13 | (3301) op1(e11, e13) = e13
% 34.68/9.13 |
% 34.68/9.13 | From (3300) and (362) follows:
% 34.68/9.13 | (3484) op1(e11, e12) = e12
% 34.68/9.13 |
% 34.68/9.13 | From (3300) and (246) follows:
% 34.68/9.13 | (3485) op1(e11, e11) = e11
% 34.68/9.13 |
% 34.68/9.13 | Instantiating formula (291) with e11, e13, e13, e12 and discharging atoms op1(e11, e13) = e13, op1(e11, e13) = e12, yields:
% 34.68/9.13 | (3254) e13 = e12
% 34.68/9.13 |
% 34.68/9.13 | Instantiating formula (291) with e11, e12, e12, e10 and discharging atoms op1(e11, e12) = e12, op1(e11, e12) = e10, yields:
% 34.68/9.13 | (3288) e12 = e10
% 34.68/9.13 |
% 34.68/9.13 | Instantiating formula (291) with e11, e11, e11, e13 and discharging atoms op1(e11, e11) = e13, op1(e11, e11) = e11, yields:
% 34.68/9.13 | (3228) e13 = e11
% 34.68/9.13 |
% 34.68/9.13 | Combining equations (3228,3254) yields a new equation:
% 34.68/9.13 | (3222) e12 = e11
% 34.68/9.13 |
% 34.68/9.13 | Combining equations (3222,3288) yields a new equation:
% 34.68/9.13 | (3205) e11 = e10
% 34.68/9.13 |
% 34.68/9.13 | Simplifying 3205 yields:
% 34.68/9.13 | (3206) e11 = e10
% 34.68/9.13 |
% 34.68/9.13 | Equations (3206) can reduce 138 to:
% 34.68/9.13 | (401) $false
% 34.68/9.13 |
% 34.68/9.13 |-The branch is then unsatisfiable
% 34.68/9.13 |-Branch two:
% 34.68/9.13 | (3312) ~ (unit1 = e11)
% 34.68/9.13 | (3313) unit1 = e10
% 34.68/9.13 |
% 34.68/9.13 | Equations (3313) can reduce 3312 to:
% 34.68/9.13 | (3283) ~ (e11 = e10)
% 34.68/9.13 |
% 34.68/9.13 | Simplifying 3283 yields:
% 34.68/9.13 | (138) ~ (e11 = e10)
% 34.68/9.13 |
% 34.68/9.13 | From (3313) and (205) follows:
% 34.68/9.13 | (4273) op1(e10, e13) = e13
% 34.68/9.13 |
% 34.68/9.13 | From (3313) and (362) follows:
% 34.68/9.13 | (3497) op1(e10, e12) = e12
% 34.68/9.13 |
% 34.68/9.13 | From (3313) and (207) follows:
% 34.68/9.13 | (3498) op1(e10, e10) = e10
% 34.68/9.13 |
% 34.68/9.13 | Instantiating formula (291) with e10, e13, e13, e11 and discharging atoms op1(e10, e13) = e13, op1(e10, e13) = e11, yields:
% 34.68/9.13 | (3228) e13 = e11
% 34.68/9.13 |
% 34.68/9.13 | Instantiating formula (291) with e10, e12, e12, e13 and discharging atoms op1(e10, e12) = e13, op1(e10, e12) = e12, yields:
% 34.68/9.13 | (3254) e13 = e12
% 34.68/9.13 |
% 34.68/9.13 | Instantiating formula (291) with e10, e10, e10, e12 and discharging atoms op1(e10, e10) = e12, op1(e10, e10) = e10, yields:
% 34.68/9.13 | (3288) e12 = e10
% 34.68/9.13 |
% 34.68/9.13 | Combining equations (3254,3228) yields a new equation:
% 34.68/9.13 | (3221) e12 = e11
% 34.68/9.13 |
% 34.68/9.13 | Simplifying 3221 yields:
% 34.68/9.13 | (3222) e12 = e11
% 34.68/9.13 |
% 34.68/9.13 | Combining equations (3222,3288) yields a new equation:
% 34.68/9.13 | (3205) e11 = e10
% 34.68/9.13 |
% 34.68/9.13 | Simplifying 3205 yields:
% 34.68/9.13 | (3206) e11 = e10
% 34.68/9.13 |
% 34.68/9.13 | Equations (3206) can reduce 138 to:
% 34.68/9.13 | (401) $false
% 34.68/9.13 |
% 34.68/9.13 |-The branch is then unsatisfiable
% 34.68/9.13 |-Branch two:
% 34.68/9.13 | (3208) ~ (all_0_111_111 = e10)
% 34.68/9.13 | (3209) all_0_113_113 = e10 | all_0_114_114 = e10
% 34.68/9.13 |
% 34.68/9.13 +-Applying beta-rule and splitting (233), into two cases.
% 34.68/9.13 |-Branch one:
% 34.68/9.13 | (3204) all_0_111_111 = e10
% 34.68/9.13 |
% 34.68/9.13 | Equations (3204) can reduce 3208 to:
% 34.68/9.13 | (401) $false
% 34.68/9.13 |
% 34.68/9.13 |-The branch is then unsatisfiable
% 34.68/9.13 |-Branch two:
% 34.68/9.13 | (3208) ~ (all_0_111_111 = e10)
% 34.68/9.13 | (3276) all_0_115_115 = e10 | all_0_119_119 = e10
% 34.68/9.13 |
% 34.68/9.13 +-Applying beta-rule and splitting (3190), into two cases.
% 34.68/9.13 |-Branch one:
% 34.68/9.13 | (3199) all_0_111_111 = e11
% 34.68/9.13 |
% 34.68/9.14 | Equations (3199) can reduce 3362 to:
% 34.68/9.14 | (401) $false
% 34.68/9.14 |
% 34.68/9.14 |-The branch is then unsatisfiable
% 34.68/9.14 |-Branch two:
% 34.68/9.14 | (3362) ~ (all_0_111_111 = e11)
% 34.68/9.14 | (3204) all_0_111_111 = e10
% 34.68/9.14 |
% 34.68/9.14 | Equations (3204) can reduce 3208 to:
% 34.68/9.14 | (401) $false
% 34.68/9.14 |
% 34.68/9.14 |-The branch is then unsatisfiable
% 34.68/9.14 |-Branch two:
% 34.68/9.14 | (3408) ~ (all_0_119_119 = e11)
% 34.68/9.14 | (3409) all_0_120_120 = e11 | all_0_121_121 = e11
% 34.68/9.14 |
% 34.68/9.14 +-Applying beta-rule and splitting (3815), into two cases.
% 34.68/9.14 |-Branch one:
% 34.68/9.14 | (3404) all_0_119_119 = e11
% 34.68/9.14 |
% 34.68/9.14 | Equations (3404) can reduce 3408 to:
% 34.68/9.14 | (401) $false
% 34.68/9.14 |
% 34.68/9.14 |-The branch is then unsatisfiable
% 34.68/9.14 |-Branch two:
% 34.68/9.14 | (3408) ~ (all_0_119_119 = e11)
% 34.68/9.14 | (3328) all_0_119_119 = e10
% 34.68/9.14 |
% 34.82/9.14 | Equations (3328) can reduce 3414 to:
% 34.82/9.14 | (401) $false
% 34.82/9.14 |
% 34.82/9.14 |-The branch is then unsatisfiable
% 34.82/9.14 |-Branch two:
% 34.82/9.14 | (3262) ~ (all_0_117_117 = e12)
% 34.82/9.14 | (3530) all_0_117_117 = e11 | all_0_117_117 = e10
% 34.82/9.14 |
% 34.82/9.14 +-Applying beta-rule and splitting (3530), into two cases.
% 34.82/9.14 |-Branch one:
% 34.82/9.14 | (3246) all_0_117_117 = e11
% 34.82/9.14 |
% 34.82/9.14 | Equations (3246) can reduce 3344 to:
% 34.82/9.14 | (401) $false
% 34.82/9.14 |
% 34.82/9.14 |-The branch is then unsatisfiable
% 34.82/9.14 |-Branch two:
% 34.82/9.14 | (3344) ~ (all_0_117_117 = e11)
% 34.82/9.14 | (3433) all_0_117_117 = e10
% 34.82/9.14 |
% 34.82/9.14 | Equations (3433) can reduce 252 to:
% 34.82/9.14 | (3357) ~ (all_0_113_113 = e10)
% 34.82/9.14 |
% 34.82/9.14 | Equations (3433) can reduce 126 to:
% 34.82/9.14 | (3535) ~ (all_0_121_121 = e10)
% 34.82/9.14 |
% 34.82/9.14 | Simplifying 3535 yields:
% 34.82/9.14 | (3536) ~ (all_0_121_121 = e10)
% 34.82/9.14 |
% 34.82/9.14 | Equations (3433) can reduce 3262 to:
% 34.82/9.14 | (3459) ~ (e12 = e10)
% 34.82/9.14 |
% 34.82/9.14 | Simplifying 3459 yields:
% 34.82/9.14 | (159) ~ (e12 = e10)
% 34.82/9.14 |
% 34.82/9.14 | Equations (3433) can reduce 3344 to:
% 34.82/9.14 | (3283) ~ (e11 = e10)
% 34.82/9.14 |
% 34.82/9.14 | Simplifying 3283 yields:
% 34.82/9.14 | (138) ~ (e11 = e10)
% 34.82/9.14 |
% 34.82/9.14 +-Applying beta-rule and splitting (111), into two cases.
% 34.82/9.14 |-Branch one:
% 34.82/9.14 | (3349) all_0_113_113 = e12
% 34.82/9.14 |
% 34.82/9.14 | Equations (3349) can reduce 3352 to:
% 34.82/9.14 | (401) $false
% 34.82/9.14 |
% 34.82/9.14 |-The branch is then unsatisfiable
% 34.82/9.14 |-Branch two:
% 34.82/9.14 | (3352) ~ (all_0_113_113 = e12)
% 34.82/9.14 | (4015) all_0_117_117 = e12 | all_0_121_121 = e12
% 34.82/9.14 |
% 34.82/9.14 +-Applying beta-rule and splitting (194), into two cases.
% 34.82/9.14 |-Branch one:
% 34.82/9.14 | (3204) all_0_111_111 = e10
% 34.82/9.14 |
% 34.82/9.14 | Equations (3204) can reduce 198 to:
% 34.82/9.14 | (3377) ~ (all_0_113_113 = e10)
% 34.82/9.14 |
% 34.82/9.14 | Simplifying 3377 yields:
% 34.82/9.14 | (3357) ~ (all_0_113_113 = e10)
% 34.82/9.14 |
% 34.82/9.14 | Equations (3204) can reduce 14 to:
% 34.82/9.14 | (4618) ~ (all_0_119_119 = e10)
% 34.82/9.14 |
% 34.82/9.14 | Simplifying 4618 yields:
% 34.82/9.14 | (3414) ~ (all_0_119_119 = e10)
% 34.82/9.14 |
% 34.82/9.14 +-Applying beta-rule and splitting (174), into two cases.
% 34.82/9.14 |-Branch one:
% 34.82/9.14 | (3199) all_0_111_111 = e11
% 34.82/9.14 |
% 34.82/9.14 | Combining equations (3199,3204) yields a new equation:
% 34.82/9.14 | (3205) e11 = e10
% 34.82/9.14 |
% 34.82/9.14 | Simplifying 3205 yields:
% 34.82/9.14 | (3206) e11 = e10
% 34.82/9.14 |
% 34.82/9.14 | Equations (3206) can reduce 138 to:
% 34.82/9.14 | (401) $false
% 34.82/9.14 |
% 34.82/9.14 |-The branch is then unsatisfiable
% 34.82/9.14 |-Branch two:
% 34.82/9.14 | (3362) ~ (all_0_111_111 = e11)
% 34.82/9.14 | (3399) all_0_112_112 = e11 | all_0_113_113 = e11
% 34.82/9.14 |
% 34.82/9.14 +-Applying beta-rule and splitting (3815), into two cases.
% 34.82/9.14 |-Branch one:
% 34.82/9.14 | (3404) all_0_119_119 = e11
% 34.82/9.14 |
% 34.82/9.14 | Equations (3404) can reduce 173 to:
% 34.82/9.14 | (3232) ~ (all_0_121_121 = e11)
% 34.82/9.14 |
% 34.82/9.14 | Simplifying 3232 yields:
% 34.82/9.14 | (3233) ~ (all_0_121_121 = e11)
% 34.82/9.14 |
% 34.82/9.14 | From (3404) and (315) follows:
% 34.82/9.14 | (4199) op1(e10, e13) = e11
% 34.82/9.14 |
% 34.82/9.14 +-Applying beta-rule and splitting (51), into two cases.
% 34.82/9.14 |-Branch one:
% 34.82/9.14 | (3267) all_0_121_121 = e12
% 34.82/9.14 |
% 34.82/9.14 | Equations (3267) can reduce 297 to:
% 34.82/9.14 | (3264) ~ (all_0_122_122 = e12)
% 34.82/9.14 |
% 34.82/9.14 | Simplifying 3264 yields:
% 34.82/9.14 | (3265) ~ (all_0_122_122 = e12)
% 34.82/9.14 |
% 34.82/9.14 | Equations (3267) can reduce 3233 to:
% 34.82/9.14 | (208) ~ (e12 = e11)
% 34.82/9.14 |
% 34.82/9.14 | From (3267) and (21) follows:
% 34.82/9.14 | (3271) op1(e10, e11) = e12
% 34.82/9.14 |
% 34.82/9.14 +-Applying beta-rule and splitting (3198), into two cases.
% 34.82/9.14 |-Branch one:
% 34.82/9.14 | (3279) all_0_122_122 = e12
% 34.82/9.14 |
% 34.82/9.14 | Equations (3279) can reduce 3265 to:
% 34.82/9.14 | (401) $false
% 34.82/9.14 |
% 34.82/9.14 |-The branch is then unsatisfiable
% 34.82/9.14 |-Branch two:
% 34.82/9.14 | (3265) ~ (all_0_122_122 = e12)
% 34.82/9.15 | (3282) all_0_122_122 = e10
% 34.82/9.15 |
% 34.82/9.15 | Equations (3282) can reduce 286 to:
% 34.82/9.15 | (3503) ~ (all_0_118_118 = e10)
% 34.82/9.15 |
% 34.82/9.15 +-Applying beta-rule and splitting (41), into two cases.
% 34.82/9.15 |-Branch one:
% 34.82/9.15 | (3253) all_0_116_116 = e12
% 34.82/9.15 |
% 34.82/9.15 | Combining equations (3226,3253) yields a new equation:
% 34.82/9.15 | (3222) e12 = e11
% 34.82/9.15 |
% 34.82/9.15 | Equations (3222) can reduce 208 to:
% 34.82/9.15 | (401) $false
% 34.82/9.15 |
% 34.82/9.15 |-The branch is then unsatisfiable
% 34.82/9.15 |-Branch two:
% 34.82/9.15 | (3256) ~ (all_0_116_116 = e12)
% 34.82/9.15 | (3257) all_0_117_117 = e12 | all_0_118_118 = e12
% 34.82/9.15 |
% 34.82/9.15 | Equations (3226) can reduce 3256 to:
% 34.82/9.15 | (3236) ~ (e12 = e11)
% 34.82/9.15 |
% 34.82/9.15 | Simplifying 3236 yields:
% 34.82/9.15 | (208) ~ (e12 = e11)
% 34.82/9.15 |
% 34.82/9.15 +-Applying beta-rule and splitting (133), into two cases.
% 34.82/9.15 |-Branch one:
% 34.82/9.15 | (3240) all_0_113_113 = e11
% 34.82/9.15 |
% 34.82/9.15 | Equations (3240) can reduce 3357 to:
% 34.82/9.15 | (138) ~ (e11 = e10)
% 34.82/9.15 |
% 34.82/9.15 +-Applying beta-rule and splitting (3819), into two cases.
% 34.82/9.15 |-Branch one:
% 34.82/9.15 | (3263) all_0_118_118 = e12
% 34.82/9.15 |
% 34.82/9.15 | Equations (3263) can reduce 164 to:
% 34.82/9.15 | (208) ~ (e12 = e11)
% 34.82/9.15 |
% 34.82/9.15 +-Applying beta-rule and splitting (272), into two cases.
% 34.82/9.15 |-Branch one:
% 34.82/9.15 | (3285) unit1 = e13
% 34.82/9.15 |
% 34.82/9.15 | From (3285) and (189) follows:
% 34.82/9.15 | (4043) op1(e13, e10) = e10
% 34.82/9.15 |
% 34.82/9.15 | From (3285) and (136) follows:
% 34.82/9.15 | (3286) op1(e12, e13) = e12
% 34.82/9.15 |
% 34.82/9.15 | From (3285) and (246) follows:
% 34.82/9.15 | (3287) op1(e11, e13) = e11
% 34.82/9.15 |
% 34.82/9.15 | Instantiating formula (291) with e13, e10, e10, e13 and discharging atoms op1(e13, e10) = e13, op1(e13, e10) = e10, yields:
% 34.82/9.15 | (3304) e13 = e10
% 34.82/9.15 |
% 34.82/9.15 | Instantiating formula (291) with e12, e13, e12, e13 and discharging atoms op1(e12, e13) = e13, op1(e12, e13) = e12, yields:
% 34.82/9.15 | (3254) e13 = e12
% 34.82/9.15 |
% 34.82/9.15 | Instantiating formula (291) with e11, e13, e11, e12 and discharging atoms op1(e11, e13) = e12, op1(e11, e13) = e11, yields:
% 34.82/9.15 | (3222) e12 = e11
% 34.82/9.15 |
% 34.82/9.15 | Combining equations (3254,3304) yields a new equation:
% 34.82/9.15 | (3307) e12 = e10
% 34.82/9.15 |
% 34.82/9.15 | Simplifying 3307 yields:
% 34.82/9.15 | (3288) e12 = e10
% 34.82/9.15 |
% 34.82/9.15 | Combining equations (3288,3222) yields a new equation:
% 34.82/9.15 | (3206) e11 = e10
% 34.82/9.15 |
% 34.82/9.15 | Equations (3206) can reduce 138 to:
% 34.82/9.15 | (401) $false
% 34.82/9.15 |
% 34.82/9.15 |-The branch is then unsatisfiable
% 34.82/9.15 |-Branch two:
% 34.82/9.15 | (3292) ~ (unit1 = e13)
% 34.82/9.15 | (3293) unit1 = e12 | unit1 = e11 | unit1 = e10
% 34.82/9.15 |
% 34.82/9.15 +-Applying beta-rule and splitting (3293), into two cases.
% 34.82/9.15 |-Branch one:
% 34.82/9.15 | (3294) unit1 = e12
% 34.82/9.15 |
% 34.82/9.15 | From (3294) and (206) follows:
% 34.82/9.15 | (4470) op1(e13, e12) = e13
% 34.82/9.15 |
% 34.82/9.15 | From (3294) and (136) follows:
% 34.82/9.15 | (3601) op1(e12, e12) = e12
% 34.82/9.15 |
% 34.82/9.15 | From (3294) and (207) follows:
% 34.82/9.15 | (3295) op1(e10, e12) = e10
% 34.82/9.15 |
% 34.82/9.15 | Instantiating formula (291) with e13, e12, e13, e12 and discharging atoms op1(e13, e12) = e13, op1(e13, e12) = e12, yields:
% 34.82/9.15 | (3254) e13 = e12
% 34.82/9.15 |
% 34.82/9.15 | Instantiating formula (291) with e12, e12, e12, e11 and discharging atoms op1(e12, e12) = e12, op1(e12, e12) = e11, yields:
% 34.82/9.15 | (3222) e12 = e11
% 34.82/9.15 |
% 34.82/9.15 | Instantiating formula (291) with e10, e12, e10, e13 and discharging atoms op1(e10, e12) = e13, op1(e10, e12) = e10, yields:
% 34.82/9.15 | (3304) e13 = e10
% 34.82/9.15 |
% 34.82/9.15 | Combining equations (3254,3304) yields a new equation:
% 34.87/9.15 | (3307) e12 = e10
% 34.87/9.15 |
% 34.87/9.15 | Simplifying 3307 yields:
% 34.87/9.15 | (3288) e12 = e10
% 34.87/9.15 |
% 34.87/9.15 | Combining equations (3222,3288) yields a new equation:
% 34.87/9.15 | (3205) e11 = e10
% 34.87/9.15 |
% 34.87/9.15 | Simplifying 3205 yields:
% 34.87/9.15 | (3206) e11 = e10
% 34.87/9.15 |
% 34.87/9.15 | Equations (3206) can reduce 138 to:
% 34.87/9.15 | (401) $false
% 34.87/9.15 |
% 34.87/9.15 |-The branch is then unsatisfiable
% 34.87/9.15 |-Branch two:
% 34.87/9.15 | (3298) ~ (unit1 = e12)
% 34.87/9.15 | (3299) unit1 = e11 | unit1 = e10
% 34.87/9.15 |
% 34.87/9.15 +-Applying beta-rule and splitting (3299), into two cases.
% 34.87/9.15 |-Branch one:
% 34.87/9.15 | (3300) unit1 = e11
% 34.87/9.15 |
% 34.87/9.15 | From (3300) and (205) follows:
% 34.87/9.15 | (3301) op1(e11, e13) = e13
% 34.87/9.15 |
% 34.87/9.15 | From (3300) and (246) follows:
% 34.87/9.15 | (3485) op1(e11, e11) = e11
% 34.87/9.15 |
% 34.87/9.15 | From (3300) and (207) follows:
% 34.87/9.15 | (3614) op1(e10, e11) = e10
% 34.87/9.15 |
% 34.87/9.15 | Instantiating formula (291) with e11, e13, e13, e12 and discharging atoms op1(e11, e13) = e13, op1(e11, e13) = e12, yields:
% 34.87/9.15 | (3254) e13 = e12
% 34.87/9.15 |
% 34.87/9.15 | Instantiating formula (291) with e11, e11, e11, e13 and discharging atoms op1(e11, e11) = e13, op1(e11, e11) = e11, yields:
% 34.87/9.15 | (3228) e13 = e11
% 34.87/9.15 |
% 34.87/9.15 | Instantiating formula (291) with e10, e11, e10, e12 and discharging atoms op1(e10, e11) = e12, op1(e10, e11) = e10, yields:
% 34.87/9.15 | (3288) e12 = e10
% 34.87/9.15 |
% 34.87/9.15 | Combining equations (3254,3228) yields a new equation:
% 34.87/9.15 | (3221) e12 = e11
% 34.87/9.15 |
% 34.87/9.15 | Simplifying 3221 yields:
% 34.87/9.15 | (3222) e12 = e11
% 34.87/9.15 |
% 34.87/9.15 | Combining equations (3222,3288) yields a new equation:
% 34.87/9.15 | (3205) e11 = e10
% 34.87/9.15 |
% 34.87/9.15 | Simplifying 3205 yields:
% 34.87/9.15 | (3206) e11 = e10
% 34.87/9.15 |
% 34.87/9.15 | Equations (3206) can reduce 138 to:
% 34.87/9.15 | (401) $false
% 34.87/9.15 |
% 34.87/9.15 |-The branch is then unsatisfiable
% 34.87/9.15 |-Branch two:
% 34.87/9.15 | (3312) ~ (unit1 = e11)
% 34.87/9.15 | (3313) unit1 = e10
% 34.87/9.15 |
% 34.87/9.15 | From (3313) and (205) follows:
% 34.87/9.15 | (4273) op1(e10, e13) = e13
% 34.87/9.15 |
% 34.87/9.15 | From (3313) and (362) follows:
% 34.87/9.16 | (3497) op1(e10, e12) = e12
% 34.87/9.16 |
% 34.87/9.16 | Instantiating formula (291) with e10, e13, e13, e11 and discharging atoms op1(e10, e13) = e13, op1(e10, e13) = e11, yields:
% 34.87/9.16 | (3228) e13 = e11
% 34.87/9.16 |
% 34.87/9.16 | Instantiating formula (291) with e10, e12, e12, e13 and discharging atoms op1(e10, e12) = e13, op1(e10, e12) = e12, yields:
% 34.87/9.16 | (3254) e13 = e12
% 34.87/9.16 |
% 34.87/9.16 | Combining equations (3228,3254) yields a new equation:
% 34.87/9.16 | (3222) e12 = e11
% 34.87/9.16 |
% 34.87/9.16 | Equations (3222) can reduce 208 to:
% 34.87/9.16 | (401) $false
% 34.87/9.16 |
% 34.87/9.16 |-The branch is then unsatisfiable
% 34.87/9.16 |-Branch two:
% 34.87/9.16 | (3419) ~ (all_0_118_118 = e12)
% 34.87/9.16 | (3458) all_0_118_118 = e10
% 34.87/9.16 |
% 34.87/9.16 | Equations (3458) can reduce 3503 to:
% 34.87/9.16 | (401) $false
% 34.87/9.16 |
% 34.87/9.16 |-The branch is then unsatisfiable
% 34.87/9.16 |-Branch two:
% 34.87/9.16 | (3244) ~ (all_0_113_113 = e11)
% 34.87/9.16 | (3245) all_0_117_117 = e11 | all_0_121_121 = e11
% 34.87/9.16 |
% 34.87/9.16 +-Applying beta-rule and splitting (3399), into two cases.
% 34.87/9.16 |-Branch one:
% 34.87/9.16 | (3220) all_0_112_112 = e11
% 34.87/9.16 |
% 34.87/9.16 | Combining equations (3220,3214) yields a new equation:
% 34.87/9.16 | (3222) e12 = e11
% 34.87/9.16 |
% 34.87/9.16 | Equations (3222) can reduce 208 to:
% 34.87/9.16 | (401) $false
% 34.87/9.16 |
% 34.87/9.16 |-The branch is then unsatisfiable
% 34.87/9.16 |-Branch two:
% 34.87/9.16 | (3201) ~ (all_0_112_112 = e11)
% 34.87/9.16 | (3240) all_0_113_113 = e11
% 34.87/9.16 |
% 34.87/9.16 | Equations (3240) can reduce 3244 to:
% 34.87/9.16 | (401) $false
% 34.87/9.16 |
% 34.87/9.16 |-The branch is then unsatisfiable
% 34.87/9.16 |-Branch two:
% 34.87/9.16 | (3332) ~ (all_0_121_121 = e12)
% 34.87/9.16 | (3333) all_0_121_121 = e11 | all_0_121_121 = e10
% 34.87/9.16 |
% 34.87/9.16 +-Applying beta-rule and splitting (3333), into two cases.
% 34.87/9.16 |-Branch one:
% 34.87/9.16 | (3345) all_0_121_121 = e11
% 34.87/9.16 |
% 34.87/9.16 | Equations (3345) can reduce 3233 to:
% 34.87/9.16 | (401) $false
% 34.87/9.16 |
% 34.87/9.16 |-The branch is then unsatisfiable
% 34.87/9.16 |-Branch two:
% 34.87/9.16 | (3233) ~ (all_0_121_121 = e11)
% 34.87/9.16 | (3438) all_0_121_121 = e10
% 34.87/9.16 |
% 34.87/9.16 | Equations (3438) can reduce 3536 to:
% 34.87/9.16 | (401) $false
% 34.87/9.16 |
% 34.87/9.16 |-The branch is then unsatisfiable
% 34.87/9.16 |-Branch two:
% 34.87/9.16 | (3408) ~ (all_0_119_119 = e11)
% 34.87/9.16 | (3328) all_0_119_119 = e10
% 34.87/9.16 |
% 34.87/9.16 | Equations (3328) can reduce 3414 to:
% 34.87/9.16 | (401) $false
% 34.87/9.16 |
% 34.87/9.16 |-The branch is then unsatisfiable
% 34.87/9.16 |-Branch two:
% 34.87/9.16 | (3208) ~ (all_0_111_111 = e10)
% 34.87/9.16 | (3209) all_0_113_113 = e10 | all_0_114_114 = e10
% 34.87/9.16 |
% 34.87/9.16 +-Applying beta-rule and splitting (3190), into two cases.
% 34.87/9.16 |-Branch one:
% 34.87/9.16 | (3199) all_0_111_111 = e11
% 34.87/9.16 |
% 34.87/9.16 | Equations (3199) can reduce 198 to:
% 34.87/9.16 | (3833) ~ (all_0_113_113 = e11)
% 34.87/9.16 |
% 34.87/9.16 | Simplifying 3833 yields:
% 34.87/9.16 | (3244) ~ (all_0_113_113 = e11)
% 34.87/9.16 |
% 34.87/9.16 +-Applying beta-rule and splitting (4015), into two cases.
% 34.87/9.16 |-Branch one:
% 34.87/9.16 | (3258) all_0_117_117 = e12
% 34.87/9.16 |
% 34.87/9.16 | Combining equations (3433,3258) yields a new equation:
% 34.87/9.16 | (3288) e12 = e10
% 34.87/9.16 |
% 34.87/9.16 | Equations (3288) can reduce 159 to:
% 34.87/9.16 | (401) $false
% 34.87/9.16 |
% 34.87/9.16 |-The branch is then unsatisfiable
% 34.87/9.16 |-Branch two:
% 34.87/9.16 | (3262) ~ (all_0_117_117 = e12)
% 34.87/9.16 | (3267) all_0_121_121 = e12
% 34.87/9.16 |
% 34.87/9.16 | Equations (3267) can reduce 139 to:
% 34.87/9.16 | (3352) ~ (all_0_113_113 = e12)
% 34.87/9.16 |
% 34.87/9.16 +-Applying beta-rule and splitting (243), into two cases.
% 34.87/9.16 |-Branch one:
% 34.87/9.16 | (3349) all_0_113_113 = e12
% 34.87/9.16 |
% 34.87/9.16 | Equations (3349) can reduce 3352 to:
% 34.87/9.16 | (401) $false
% 34.87/9.16 |
% 34.87/9.16 |-The branch is then unsatisfiable
% 34.87/9.16 |-Branch two:
% 34.87/9.16 | (3352) ~ (all_0_113_113 = e12)
% 34.87/9.16 | (3962) all_0_113_113 = e11 | all_0_113_113 = e10
% 34.87/9.16 |
% 34.87/9.16 +-Applying beta-rule and splitting (133), into two cases.
% 34.87/9.16 |-Branch one:
% 34.87/9.16 | (3240) all_0_113_113 = e11
% 34.87/9.16 |
% 34.87/9.16 | Equations (3240) can reduce 3244 to:
% 34.87/9.16 | (401) $false
% 34.87/9.16 |
% 34.87/9.16 |-The branch is then unsatisfiable
% 34.87/9.16 |-Branch two:
% 34.87/9.16 | (3244) ~ (all_0_113_113 = e11)
% 34.87/9.16 | (3245) all_0_117_117 = e11 | all_0_121_121 = e11
% 34.87/9.16 |
% 34.87/9.16 +-Applying beta-rule and splitting (3962), into two cases.
% 34.87/9.16 |-Branch one:
% 34.87/9.16 | (3240) all_0_113_113 = e11
% 34.87/9.16 |
% 34.87/9.16 | Equations (3240) can reduce 3244 to:
% 34.87/9.16 | (401) $false
% 34.87/9.16 |
% 34.87/9.16 |-The branch is then unsatisfiable
% 34.87/9.16 |-Branch two:
% 34.87/9.16 | (3244) ~ (all_0_113_113 = e11)
% 34.87/9.16 | (3210) all_0_113_113 = e10
% 34.87/9.16 |
% 34.87/9.16 | Equations (3210) can reduce 3357 to:
% 34.87/9.16 | (401) $false
% 34.87/9.16 |
% 34.87/9.16 |-The branch is then unsatisfiable
% 34.87/9.16 |-Branch two:
% 34.87/9.17 | (3362) ~ (all_0_111_111 = e11)
% 34.87/9.17 | (3204) all_0_111_111 = e10
% 34.87/9.17 |
% 34.87/9.17 | Equations (3204) can reduce 3208 to:
% 34.87/9.17 | (401) $false
% 34.87/9.17 |
% 34.87/9.17 |-The branch is then unsatisfiable
% 34.87/9.17 |-Branch two:
% 34.87/9.17 | (3347) ~ (all_0_112_112 = e12)
% 34.87/9.17 | (3640) all_0_116_116 = e12 | all_0_120_120 = e12
% 34.87/9.17 |
% 34.87/9.17 +-Applying beta-rule and splitting (3194), into two cases.
% 34.87/9.17 |-Branch one:
% 34.87/9.17 | (3214) all_0_112_112 = e12
% 34.87/9.17 |
% 34.87/9.17 | Equations (3214) can reduce 3347 to:
% 34.87/9.17 | (401) $false
% 34.87/9.17 |
% 34.87/9.17 |-The branch is then unsatisfiable
% 34.87/9.17 |-Branch two:
% 34.87/9.17 | (3347) ~ (all_0_112_112 = e12)
% 34.87/9.17 | (3220) all_0_112_112 = e11
% 34.87/9.17 |
% 34.87/9.17 | Equations (3220) can reduce 9 to:
% 34.87/9.17 | (3362) ~ (all_0_111_111 = e11)
% 34.87/9.17 |
% 34.87/9.17 | Equations (3220) can reduce 187 to:
% 34.87/9.17 | (4753) ~ (all_0_116_116 = e11)
% 34.87/9.17 |
% 34.87/9.17 | Simplifying 4753 yields:
% 34.87/9.17 | (3230) ~ (all_0_116_116 = e11)
% 34.87/9.17 |
% 34.87/9.17 | Equations (3220) can reduce 104 to:
% 34.87/9.17 | (138) ~ (e11 = e10)
% 34.87/9.17 |
% 34.87/9.17 | From (3220) and (32) follows:
% 34.87/9.17 | (4756) op1(e13, e12) = e11
% 34.87/9.17 |
% 34.87/9.17 +-Applying beta-rule and splitting (185), into two cases.
% 34.87/9.17 |-Branch one:
% 34.87/9.17 | (3199) all_0_111_111 = e11
% 34.87/9.17 |
% 34.87/9.17 | Equations (3199) can reduce 3362 to:
% 34.87/9.17 | (401) $false
% 34.87/9.17 |
% 34.87/9.17 |-The branch is then unsatisfiable
% 34.87/9.17 |-Branch two:
% 34.87/9.17 | (3362) ~ (all_0_111_111 = e11)
% 34.87/9.17 | (3363) all_0_115_115 = e11 | all_0_119_119 = e11
% 34.87/9.17 |
% 34.87/9.17 +-Applying beta-rule and splitting (4005), into two cases.
% 34.87/9.17 |-Branch one:
% 34.87/9.17 | (3226) all_0_116_116 = e11
% 34.87/9.17 |
% 34.87/9.17 | Equations (3226) can reduce 3230 to:
% 34.87/9.17 | (401) $false
% 34.87/9.17 |
% 34.87/9.17 |-The branch is then unsatisfiable
% 34.87/9.17 |-Branch two:
% 34.87/9.17 | (3230) ~ (all_0_116_116 = e11)
% 34.87/9.17 | (3246) all_0_117_117 = e11
% 34.87/9.17 |
% 34.87/9.17 | Equations (3246) can reduce 192 to:
% 34.87/9.17 | (3247) ~ (all_0_118_118 = e11)
% 34.87/9.17 |
% 34.87/9.17 | Simplifying 3247 yields:
% 34.87/9.17 | (164) ~ (all_0_118_118 = e11)
% 34.87/9.17 |
% 34.87/9.17 | Equations (3246) can reduce 29 to:
% 34.87/9.17 | (3202) ~ (e13 = e11)
% 34.87/9.17 |
% 34.87/9.17 | Simplifying 3202 yields:
% 34.87/9.17 | (34) ~ (e13 = e11)
% 34.87/9.17 |
% 34.87/9.17 +-Applying beta-rule and splitting (320), into two cases.
% 34.87/9.17 |-Branch one:
% 34.87/9.17 | (3404) all_0_119_119 = e11
% 34.87/9.17 |
% 34.87/9.17 | Equations (3404) can reduce 14 to:
% 34.87/9.17 | (3362) ~ (all_0_111_111 = e11)
% 34.87/9.17 |
% 34.87/9.17 | Equations (3404) can reduce 173 to:
% 34.87/9.17 | (3232) ~ (all_0_121_121 = e11)
% 34.87/9.17 |
% 34.87/9.17 | Simplifying 3232 yields:
% 34.87/9.17 | (3233) ~ (all_0_121_121 = e11)
% 34.87/9.17 |
% 34.87/9.17 | Equations (3404) can reduce 60 to:
% 34.87/9.17 | (3236) ~ (e12 = e11)
% 34.87/9.17 |
% 34.87/9.17 | Simplifying 3236 yields:
% 34.87/9.17 | (208) ~ (e12 = e11)
% 34.87/9.17 |
% 34.87/9.17 | From (3404) and (315) follows:
% 34.87/9.17 | (4199) op1(e10, e13) = e11
% 34.87/9.17 |
% 34.87/9.17 +-Applying beta-rule and splitting (270), into two cases.
% 34.87/9.17 |-Branch one:
% 34.87/9.17 | (3214) all_0_112_112 = e12
% 34.87/9.17 |
% 34.87/9.17 | Combining equations (3214,3220) yields a new equation:
% 34.87/9.17 | (3221) e12 = e11
% 34.87/9.17 |
% 34.87/9.17 | Simplifying 3221 yields:
% 34.87/9.17 | (3222) e12 = e11
% 34.87/9.17 |
% 34.87/9.17 | Equations (3222) can reduce 208 to:
% 34.87/9.17 | (401) $false
% 34.87/9.17 |
% 34.87/9.17 |-The branch is then unsatisfiable
% 34.87/9.17 |-Branch two:
% 34.87/9.17 | (3347) ~ (all_0_112_112 = e12)
% 34.87/9.17 | (3348) all_0_113_113 = e12 | all_0_114_114 = e12
% 34.87/9.17 |
% 34.87/9.17 +-Applying beta-rule and splitting (233), into two cases.
% 34.87/9.17 |-Branch one:
% 34.87/9.17 | (3204) all_0_111_111 = e10
% 34.87/9.17 |
% 34.87/9.17 | Equations (3204) can reduce 3156 to:
% 34.87/9.17 | (3323) ~ (e13 = e10)
% 34.87/9.17 |
% 34.87/9.17 | Simplifying 3323 yields:
% 34.87/9.17 | (134) ~ (e13 = e10)
% 34.87/9.17 |
% 34.87/9.17 | Equations (3204) can reduce 3362 to:
% 34.87/9.17 | (3283) ~ (e11 = e10)
% 34.87/9.17 |
% 34.87/9.17 | Simplifying 3283 yields:
% 34.87/9.17 | (138) ~ (e11 = e10)
% 34.87/9.17 |
% 34.87/9.17 +-Applying beta-rule and splitting (3348), into two cases.
% 34.87/9.17 |-Branch one:
% 34.87/9.17 | (3349) all_0_113_113 = e12
% 34.87/9.17 |
% 34.87/9.17 | Equations (3349) can reduce 139 to:
% 34.87/9.17 | (3652) ~ (all_0_121_121 = e12)
% 34.87/9.17 |
% 34.87/9.17 | Simplifying 3652 yields:
% 34.87/9.17 | (3332) ~ (all_0_121_121 = e12)
% 34.87/9.17 |
% 34.87/9.17 | Equations (3349) can reduce 177 to:
% 34.87/9.17 | (3217) ~ (e13 = e12)
% 34.87/9.17 |
% 34.87/9.17 | Simplifying 3217 yields:
% 34.87/9.17 | (76) ~ (e13 = e12)
% 34.87/9.17 |
% 34.87/9.17 +-Applying beta-rule and splitting (325), into two cases.
% 34.87/9.17 |-Branch one:
% 34.87/9.17 | (3334) all_0_120_120 = e12
% 34.87/9.17 |
% 34.87/9.17 | Combining equations (3334,3183) yields a new equation:
% 34.87/9.17 | (3254) e13 = e12
% 34.87/9.17 |
% 34.87/9.17 | Equations (3254) can reduce 76 to:
% 34.87/9.17 | (401) $false
% 34.87/9.17 |
% 34.87/9.17 |-The branch is then unsatisfiable
% 34.87/9.17 |-Branch two:
% 34.87/9.17 | (3216) ~ (all_0_120_120 = e12)
% 34.87/9.17 | (3338) all_0_121_121 = e12 | all_0_122_122 = e12
% 34.87/9.17 |
% 34.87/9.17 +-Applying beta-rule and splitting (57), into two cases.
% 34.87/9.17 |-Branch one:
% 34.87/9.17 | (3277) all_0_115_115 = e10
% 34.87/9.17 |
% 34.87/9.17 | Combining equations (3151,3277) yields a new equation:
% 34.87/9.17 | (3329) e13 = e10
% 34.87/9.17 |
% 34.87/9.17 | Simplifying 3329 yields:
% 34.87/9.17 | (3304) e13 = e10
% 34.87/9.17 |
% 34.87/9.17 | Equations (3304) can reduce 134 to:
% 34.87/9.17 | (401) $false
% 34.87/9.17 |
% 34.87/9.17 |-The branch is then unsatisfiable
% 34.87/9.17 |-Branch two:
% 34.87/9.17 | (3317) ~ (all_0_115_115 = e10)
% 34.87/9.18 | (3318) all_0_117_117 = e10 | all_0_118_118 = e10
% 34.87/9.18 |
% 34.87/9.18 +-Applying beta-rule and splitting (3338), into two cases.
% 34.87/9.18 |-Branch one:
% 34.87/9.18 | (3267) all_0_121_121 = e12
% 34.87/9.18 |
% 34.87/9.18 | Equations (3267) can reduce 3332 to:
% 34.87/9.18 | (401) $false
% 34.87/9.18 |
% 34.87/9.18 |-The branch is then unsatisfiable
% 34.87/9.18 |-Branch two:
% 34.87/9.18 | (3332) ~ (all_0_121_121 = e12)
% 34.87/9.18 | (3279) all_0_122_122 = e12
% 34.87/9.18 |
% 34.87/9.18 | Equations (3279) can reduce 286 to:
% 34.87/9.18 | (3419) ~ (all_0_118_118 = e12)
% 34.87/9.18 |
% 34.87/9.18 | From (3279) and (6) follows:
% 34.87/9.18 | (3469) op1(e10, e10) = e12
% 34.87/9.18 |
% 34.87/9.18 +-Applying beta-rule and splitting (3318), into two cases.
% 34.87/9.18 |-Branch one:
% 34.87/9.18 | (3433) all_0_117_117 = e10
% 34.87/9.18 |
% 34.87/9.18 | Combining equations (3246,3433) yields a new equation:
% 34.87/9.18 | (3205) e11 = e10
% 34.87/9.18 |
% 34.87/9.18 | Simplifying 3205 yields:
% 34.87/9.18 | (3206) e11 = e10
% 34.87/9.18 |
% 34.87/9.18 | Equations (3206) can reduce 138 to:
% 34.87/9.18 | (401) $false
% 34.87/9.18 |
% 34.87/9.18 |-The branch is then unsatisfiable
% 34.87/9.18 |-Branch two:
% 34.87/9.18 | (3212) ~ (all_0_117_117 = e10)
% 34.87/9.18 | (3458) all_0_118_118 = e10
% 34.87/9.18 |
% 34.87/9.18 | Equations (3458) can reduce 3419 to:
% 34.87/9.18 | (3459) ~ (e12 = e10)
% 34.87/9.18 |
% 34.87/9.18 | Simplifying 3459 yields:
% 34.87/9.18 | (159) ~ (e12 = e10)
% 34.87/9.18 |
% 34.87/9.18 | Equations (3458) can reduce 164 to:
% 34.87/9.18 | (3283) ~ (e11 = e10)
% 34.87/9.18 |
% 34.87/9.18 | Simplifying 3283 yields:
% 34.87/9.18 | (138) ~ (e11 = e10)
% 34.87/9.18 |
% 34.87/9.18 +-Applying beta-rule and splitting (72), into two cases.
% 34.87/9.18 |-Branch one:
% 34.87/9.18 | (3210) all_0_113_113 = e10
% 34.87/9.18 |
% 34.87/9.18 | Combining equations (3349,3210) yields a new equation:
% 34.87/9.18 | (3307) e12 = e10
% 34.87/9.18 |
% 34.87/9.18 | Simplifying 3307 yields:
% 34.87/9.18 | (3288) e12 = e10
% 34.87/9.18 |
% 34.87/9.18 | Equations (3288) can reduce 159 to:
% 34.87/9.18 | (401) $false
% 34.87/9.18 |
% 34.87/9.18 |-The branch is then unsatisfiable
% 34.87/9.18 |-Branch two:
% 34.87/9.18 | (3357) ~ (all_0_113_113 = e10)
% 34.87/9.18 | (3403) all_0_117_117 = e10 | all_0_121_121 = e10
% 34.87/9.18 |
% 34.87/9.18 +-Applying beta-rule and splitting (319), into two cases.
% 34.87/9.18 |-Branch one:
% 34.87/9.18 | (3328) all_0_119_119 = e10
% 34.87/9.18 |
% 34.87/9.18 | Combining equations (3328,3404) yields a new equation:
% 34.87/9.18 | (3206) e11 = e10
% 34.87/9.18 |
% 34.87/9.18 | Equations (3206) can reduce 138 to:
% 34.87/9.18 | (401) $false
% 34.87/9.18 |
% 34.87/9.18 |-The branch is then unsatisfiable
% 34.87/9.18 |-Branch two:
% 34.87/9.18 | (3414) ~ (all_0_119_119 = e10)
% 34.87/9.18 | (3415) all_0_121_121 = e10 | all_0_122_122 = e10
% 34.87/9.18 |
% 34.87/9.18 | Equations (3404) can reduce 3414 to:
% 34.87/9.18 | (138) ~ (e11 = e10)
% 34.87/9.18 |
% 34.87/9.18 +-Applying beta-rule and splitting (3403), into two cases.
% 34.87/9.18 |-Branch one:
% 34.87/9.18 | (3433) all_0_117_117 = e10
% 34.87/9.18 |
% 34.87/9.18 | Combining equations (3246,3433) yields a new equation:
% 34.87/9.18 | (3205) e11 = e10
% 34.87/9.18 |
% 34.87/9.18 | Simplifying 3205 yields:
% 34.87/9.18 | (3206) e11 = e10
% 34.87/9.18 |
% 34.87/9.18 | Equations (3206) can reduce 138 to:
% 34.87/9.18 | (401) $false
% 34.87/9.18 |
% 34.87/9.18 |-The branch is then unsatisfiable
% 34.87/9.18 |-Branch two:
% 34.87/9.18 | (3212) ~ (all_0_117_117 = e10)
% 34.87/9.18 | (3438) all_0_121_121 = e10
% 34.87/9.18 |
% 34.87/9.18 | Equations (3438) can reduce 3233 to:
% 34.87/9.18 | (3283) ~ (e11 = e10)
% 34.87/9.18 |
% 34.87/9.18 | Simplifying 3283 yields:
% 34.87/9.18 | (138) ~ (e11 = e10)
% 34.87/9.18 |
% 34.87/9.18 +-Applying beta-rule and splitting (272), into two cases.
% 34.87/9.18 |-Branch one:
% 34.87/9.18 | (3285) unit1 = e13
% 34.87/9.18 |
% 34.87/9.18 | From (3285) and (189) follows:
% 34.87/9.18 | (4043) op1(e13, e10) = e10
% 34.87/9.18 |
% 34.87/9.18 | From (3285) and (136) follows:
% 34.87/9.18 | (3286) op1(e12, e13) = e12
% 34.87/9.18 |
% 34.87/9.18 | From (3285) and (246) follows:
% 34.87/9.18 | (3287) op1(e11, e13) = e11
% 34.87/9.18 |
% 34.87/9.18 | Instantiating formula (291) with e13, e10, e10, e13 and discharging atoms op1(e13, e10) = e13, op1(e13, e10) = e10, yields:
% 34.87/9.18 | (3304) e13 = e10
% 34.87/9.18 |
% 34.87/9.18 | Instantiating formula (291) with e12, e13, e12, e13 and discharging atoms op1(e12, e13) = e13, op1(e12, e13) = e12, yields:
% 34.87/9.18 | (3254) e13 = e12
% 34.87/9.18 |
% 34.87/9.18 | Instantiating formula (291) with e11, e13, e11, e12 and discharging atoms op1(e11, e13) = e12, op1(e11, e13) = e11, yields:
% 34.87/9.18 | (3222) e12 = e11
% 34.87/9.18 |
% 34.87/9.18 | Combining equations (3304,3254) yields a new equation:
% 34.87/9.18 | (3288) e12 = e10
% 34.87/9.18 |
% 34.87/9.18 | Combining equations (3288,3222) yields a new equation:
% 34.87/9.18 | (3206) e11 = e10
% 34.87/9.18 |
% 34.87/9.18 | Equations (3206) can reduce 138 to:
% 34.87/9.18 | (401) $false
% 34.87/9.18 |
% 34.87/9.18 |-The branch is then unsatisfiable
% 34.87/9.18 |-Branch two:
% 34.87/9.18 | (3292) ~ (unit1 = e13)
% 34.87/9.18 | (3293) unit1 = e12 | unit1 = e11 | unit1 = e10
% 34.87/9.18 |
% 34.87/9.18 +-Applying beta-rule and splitting (3293), into two cases.
% 34.87/9.18 |-Branch one:
% 34.87/9.18 | (3294) unit1 = e12
% 34.87/9.18 |
% 34.87/9.18 | From (3294) and (206) follows:
% 34.87/9.18 | (4470) op1(e13, e12) = e13
% 34.87/9.18 |
% 34.87/9.18 | From (3294) and (207) follows:
% 34.87/9.18 | (3295) op1(e10, e12) = e10
% 34.87/9.18 |
% 34.87/9.18 | Instantiating formula (291) with e13, e12, e13, e11 and discharging atoms op1(e13, e12) = e13, op1(e13, e12) = e11, yields:
% 34.87/9.18 | (3228) e13 = e11
% 34.87/9.18 |
% 34.87/9.18 | Instantiating formula (291) with e10, e12, e10, e13 and discharging atoms op1(e10, e12) = e13, op1(e10, e12) = e10, yields:
% 34.87/9.18 | (3304) e13 = e10
% 34.87/9.18 |
% 34.87/9.18 | Combining equations (3304,3228) yields a new equation:
% 34.87/9.18 | (3206) e11 = e10
% 34.87/9.18 |
% 34.87/9.18 | Equations (3206) can reduce 138 to:
% 34.87/9.18 | (401) $false
% 34.87/9.18 |
% 34.87/9.18 |-The branch is then unsatisfiable
% 34.87/9.18 |-Branch two:
% 34.87/9.18 | (3298) ~ (unit1 = e12)
% 34.87/9.18 | (3299) unit1 = e11 | unit1 = e10
% 34.87/9.18 |
% 34.87/9.18 +-Applying beta-rule and splitting (3299), into two cases.
% 34.87/9.18 |-Branch one:
% 34.87/9.18 | (3300) unit1 = e11
% 34.87/9.18 |
% 34.87/9.18 | From (3300) and (205) follows:
% 34.87/9.18 | (3301) op1(e11, e13) = e13
% 34.87/9.18 |
% 34.87/9.18 | From (3300) and (362) follows:
% 34.87/9.18 | (3484) op1(e11, e12) = e12
% 34.87/9.18 |
% 34.87/9.18 | From (3300) and (246) follows:
% 34.87/9.18 | (3485) op1(e11, e11) = e11
% 34.87/9.18 |
% 34.87/9.18 | Instantiating formula (291) with e11, e13, e13, e12 and discharging atoms op1(e11, e13) = e13, op1(e11, e13) = e12, yields:
% 34.87/9.19 | (3254) e13 = e12
% 34.87/9.19 |
% 34.87/9.19 | Instantiating formula (291) with e11, e12, e12, e10 and discharging atoms op1(e11, e12) = e12, op1(e11, e12) = e10, yields:
% 34.87/9.19 | (3288) e12 = e10
% 34.87/9.19 |
% 34.87/9.19 | Instantiating formula (291) with e11, e11, e11, e13 and discharging atoms op1(e11, e11) = e13, op1(e11, e11) = e11, yields:
% 34.87/9.19 | (3228) e13 = e11
% 34.87/9.19 |
% 34.87/9.19 | Combining equations (3228,3254) yields a new equation:
% 34.87/9.19 | (3222) e12 = e11
% 34.87/9.19 |
% 34.87/9.19 | Combining equations (3222,3288) yields a new equation:
% 34.87/9.19 | (3205) e11 = e10
% 34.87/9.19 |
% 34.87/9.19 | Simplifying 3205 yields:
% 34.87/9.19 | (3206) e11 = e10
% 34.87/9.19 |
% 34.87/9.19 | Equations (3206) can reduce 138 to:
% 34.87/9.19 | (401) $false
% 34.87/9.19 |
% 34.87/9.19 |-The branch is then unsatisfiable
% 34.87/9.19 |-Branch two:
% 34.87/9.19 | (3312) ~ (unit1 = e11)
% 34.87/9.19 | (3313) unit1 = e10
% 34.87/9.19 |
% 34.87/9.19 | Equations (3313) can reduce 3312 to:
% 34.87/9.19 | (3283) ~ (e11 = e10)
% 34.87/9.19 |
% 34.87/9.19 | Simplifying 3283 yields:
% 34.87/9.19 | (138) ~ (e11 = e10)
% 34.87/9.19 |
% 34.87/9.19 | From (3313) and (205) follows:
% 34.87/9.19 | (4273) op1(e10, e13) = e13
% 34.87/9.19 |
% 34.87/9.19 | From (3313) and (362) follows:
% 34.87/9.19 | (3497) op1(e10, e12) = e12
% 34.87/9.19 |
% 34.87/9.19 | From (3313) and (207) follows:
% 34.87/9.19 | (3498) op1(e10, e10) = e10
% 34.87/9.19 |
% 34.87/9.19 | Instantiating formula (291) with e10, e13, e13, e11 and discharging atoms op1(e10, e13) = e13, op1(e10, e13) = e11, yields:
% 34.87/9.19 | (3228) e13 = e11
% 34.87/9.19 |
% 34.87/9.19 | Instantiating formula (291) with e10, e12, e12, e13 and discharging atoms op1(e10, e12) = e13, op1(e10, e12) = e12, yields:
% 34.87/9.19 | (3254) e13 = e12
% 34.87/9.19 |
% 34.87/9.19 | Instantiating formula (291) with e10, e10, e10, e12 and discharging atoms op1(e10, e10) = e12, op1(e10, e10) = e10, yields:
% 34.87/9.19 | (3288) e12 = e10
% 34.87/9.19 |
% 34.87/9.19 | Combining equations (3254,3228) yields a new equation:
% 34.87/9.19 | (3221) e12 = e11
% 34.87/9.19 |
% 34.87/9.19 | Simplifying 3221 yields:
% 34.87/9.19 | (3222) e12 = e11
% 34.87/9.19 |
% 34.87/9.19 | Combining equations (3222,3288) yields a new equation:
% 34.87/9.19 | (3205) e11 = e10
% 34.87/9.19 |
% 34.87/9.19 | Simplifying 3205 yields:
% 34.87/9.19 | (3206) e11 = e10
% 34.87/9.19 |
% 34.87/9.19 | Equations (3206) can reduce 138 to:
% 34.87/9.19 | (401) $false
% 34.87/9.19 |
% 34.87/9.19 |-The branch is then unsatisfiable
% 34.87/9.19 |-Branch two:
% 34.87/9.19 | (3352) ~ (all_0_113_113 = e12)
% 34.87/9.19 | (3353) all_0_114_114 = e12
% 34.87/9.19 |
% 34.87/9.19 | Combining equations (3169,3353) yields a new equation:
% 34.87/9.19 | (3354) e13 = e12
% 34.87/9.19 |
% 34.87/9.19 | Simplifying 3354 yields:
% 34.87/9.19 | (3254) e13 = e12
% 34.87/9.19 |
% 34.87/9.19 | Equations (3254) can reduce 76 to:
% 34.87/9.19 | (401) $false
% 34.87/9.19 |
% 34.87/9.19 |-The branch is then unsatisfiable
% 34.87/9.19 |-Branch two:
% 34.87/9.19 | (3208) ~ (all_0_111_111 = e10)
% 34.87/9.19 | (3276) all_0_115_115 = e10 | all_0_119_119 = e10
% 34.87/9.19 |
% 34.87/9.19 +-Applying beta-rule and splitting (3348), into two cases.
% 34.87/9.19 |-Branch one:
% 34.87/9.19 | (3349) all_0_113_113 = e12
% 34.87/9.19 |
% 34.87/9.19 +-Applying beta-rule and splitting (57), into two cases.
% 34.87/9.19 |-Branch one:
% 34.87/9.19 | (3277) all_0_115_115 = e10
% 34.87/9.19 |
% 34.87/9.19 | Combining equations (3151,3277) yields a new equation:
% 34.87/9.19 | (3329) e13 = e10
% 34.87/9.19 |
% 34.87/9.19 | Simplifying 3329 yields:
% 34.87/9.19 | (3304) e13 = e10
% 34.87/9.19 |
% 34.87/9.19 | Equations (3304) can reduce 134 to:
% 34.87/9.19 | (401) $false
% 34.87/9.19 |
% 34.87/9.19 |-The branch is then unsatisfiable
% 34.87/9.19 |-Branch two:
% 34.87/9.19 | (3317) ~ (all_0_115_115 = e10)
% 34.87/9.19 | (3318) all_0_117_117 = e10 | all_0_118_118 = e10
% 34.87/9.19 |
% 34.87/9.19 +-Applying beta-rule and splitting (194), into two cases.
% 34.87/9.19 |-Branch one:
% 34.87/9.19 | (3204) all_0_111_111 = e10
% 34.87/9.19 |
% 34.87/9.19 | Equations (3204) can reduce 3208 to:
% 34.87/9.19 | (401) $false
% 34.87/9.19 |
% 34.87/9.19 |-The branch is then unsatisfiable
% 34.87/9.19 |-Branch two:
% 34.87/9.19 | (3208) ~ (all_0_111_111 = e10)
% 34.87/9.19 | (3209) all_0_113_113 = e10 | all_0_114_114 = e10
% 34.87/9.19 |
% 34.87/9.19 +-Applying beta-rule and splitting (3318), into two cases.
% 34.87/9.19 |-Branch one:
% 34.87/9.19 | (3433) all_0_117_117 = e10
% 34.87/9.19 |
% 34.87/9.19 | Combining equations (3433,3246) yields a new equation:
% 34.87/9.19 | (3206) e11 = e10
% 34.87/9.19 |
% 34.87/9.19 | Equations (3206) can reduce 138 to:
% 34.87/9.19 | (401) $false
% 34.87/9.19 |
% 34.87/9.19 |-The branch is then unsatisfiable
% 34.87/9.19 |-Branch two:
% 34.87/9.19 | (3212) ~ (all_0_117_117 = e10)
% 34.87/9.19 | (3458) all_0_118_118 = e10
% 34.87/9.19 |
% 34.87/9.19 | Equations (3458) can reduce 286 to:
% 34.87/9.19 | (3439) ~ (all_0_122_122 = e10)
% 34.87/9.19 |
% 34.87/9.19 | Simplifying 3439 yields:
% 34.87/9.19 | (3440) ~ (all_0_122_122 = e10)
% 34.87/9.19 |
% 34.87/9.19 | Equations (3458) can reduce 3174 to:
% 34.87/9.19 | (3323) ~ (e13 = e10)
% 34.87/9.19 |
% 34.87/9.19 | Simplifying 3323 yields:
% 34.87/9.19 | (134) ~ (e13 = e10)
% 34.87/9.19 |
% 34.87/9.19 +-Applying beta-rule and splitting (3198), into two cases.
% 34.87/9.19 |-Branch one:
% 34.87/9.19 | (3279) all_0_122_122 = e12
% 34.87/9.19 |
% 34.87/9.19 | Equations (3279) can reduce 3440 to:
% 34.87/9.19 | (159) ~ (e12 = e10)
% 34.87/9.19 |
% 34.87/9.19 +-Applying beta-rule and splitting (3209), into two cases.
% 34.87/9.19 |-Branch one:
% 34.87/9.20 | (3210) all_0_113_113 = e10
% 34.87/9.20 |
% 34.87/9.20 | Combining equations (3210,3349) yields a new equation:
% 34.87/9.20 | (3288) e12 = e10
% 34.87/9.20 |
% 34.87/9.20 | Equations (3288) can reduce 159 to:
% 34.87/9.20 | (401) $false
% 34.87/9.20 |
% 34.87/9.20 |-The branch is then unsatisfiable
% 34.87/9.20 |-Branch two:
% 34.87/9.20 | (3357) ~ (all_0_113_113 = e10)
% 34.87/9.20 | (3358) all_0_114_114 = e10
% 34.87/9.20 |
% 34.87/9.20 | Combining equations (3169,3358) yields a new equation:
% 34.87/9.20 | (3329) e13 = e10
% 34.87/9.20 |
% 34.87/9.20 | Simplifying 3329 yields:
% 34.87/9.20 | (3304) e13 = e10
% 34.87/9.20 |
% 34.87/9.20 | Equations (3304) can reduce 134 to:
% 34.87/9.20 | (401) $false
% 34.87/9.20 |
% 34.87/9.20 |-The branch is then unsatisfiable
% 34.87/9.20 |-Branch two:
% 34.87/9.20 | (3265) ~ (all_0_122_122 = e12)
% 34.87/9.20 | (3282) all_0_122_122 = e10
% 34.87/9.20 |
% 34.87/9.20 | Equations (3282) can reduce 3440 to:
% 34.87/9.20 | (401) $false
% 34.87/9.20 |
% 34.87/9.20 |-The branch is then unsatisfiable
% 34.87/9.20 |-Branch two:
% 34.87/9.20 | (3352) ~ (all_0_113_113 = e12)
% 34.87/9.20 | (3353) all_0_114_114 = e12
% 34.87/9.20 |
% 34.87/9.20 | Combining equations (3353,3169) yields a new equation:
% 34.87/9.20 | (3254) e13 = e12
% 34.87/9.20 |
% 34.87/9.20 | Equations (3254) can reduce 76 to:
% 34.87/9.20 | (401) $false
% 34.87/9.20 |
% 34.87/9.20 |-The branch is then unsatisfiable
% 34.87/9.20 |-Branch two:
% 34.87/9.20 | (3408) ~ (all_0_119_119 = e11)
% 34.87/9.20 | (3409) all_0_120_120 = e11 | all_0_121_121 = e11
% 34.87/9.20 |
% 34.87/9.20 +-Applying beta-rule and splitting (57), into two cases.
% 34.87/9.20 |-Branch one:
% 34.87/9.20 | (3277) all_0_115_115 = e10
% 34.87/9.20 |
% 34.87/9.20 | Combining equations (3151,3277) yields a new equation:
% 34.87/9.20 | (3329) e13 = e10
% 34.87/9.20 |
% 34.87/9.20 | Simplifying 3329 yields:
% 34.87/9.20 | (3304) e13 = e10
% 34.87/9.20 |
% 34.87/9.20 | Equations (3304) can reduce 134 to:
% 34.87/9.20 | (401) $false
% 34.87/9.20 |
% 34.87/9.20 |-The branch is then unsatisfiable
% 34.87/9.20 |-Branch two:
% 34.87/9.20 | (3317) ~ (all_0_115_115 = e10)
% 34.87/9.20 | (3318) all_0_117_117 = e10 | all_0_118_118 = e10
% 34.87/9.20 |
% 34.87/9.20 +-Applying beta-rule and splitting (3815), into two cases.
% 34.87/9.20 |-Branch one:
% 34.87/9.20 | (3404) all_0_119_119 = e11
% 34.87/9.20 |
% 34.87/9.20 | Equations (3404) can reduce 3408 to:
% 34.87/9.20 | (401) $false
% 34.87/9.20 |
% 34.87/9.20 |-The branch is then unsatisfiable
% 34.87/9.20 |-Branch two:
% 34.87/9.20 | (3408) ~ (all_0_119_119 = e11)
% 34.87/9.20 | (3328) all_0_119_119 = e10
% 34.87/9.20 |
% 34.87/9.20 | Equations (3328) can reduce 3408 to:
% 34.87/9.20 | (3283) ~ (e11 = e10)
% 34.87/9.20 |
% 34.87/9.20 | Simplifying 3283 yields:
% 34.87/9.20 | (138) ~ (e11 = e10)
% 34.87/9.20 |
% 34.87/9.20 +-Applying beta-rule and splitting (3318), into two cases.
% 34.87/9.20 |-Branch one:
% 34.87/9.20 | (3433) all_0_117_117 = e10
% 34.87/9.20 |
% 34.87/9.20 | Combining equations (3246,3433) yields a new equation:
% 34.87/9.20 | (3205) e11 = e10
% 34.87/9.20 |
% 34.87/9.20 | Simplifying 3205 yields:
% 34.87/9.20 | (3206) e11 = e10
% 34.87/9.20 |
% 34.87/9.20 | Equations (3206) can reduce 138 to:
% 34.87/9.20 | (401) $false
% 34.87/9.20 |
% 34.87/9.20 |-The branch is then unsatisfiable
% 34.87/9.20 |-Branch two:
% 34.87/9.20 | (3212) ~ (all_0_117_117 = e10)
% 34.87/9.20 | (3458) all_0_118_118 = e10
% 34.87/9.20 |
% 34.87/9.20 | Equations (3458) can reduce 164 to:
% 34.87/9.20 | (3283) ~ (e11 = e10)
% 34.87/9.20 |
% 34.87/9.20 | Simplifying 3283 yields:
% 34.87/9.20 | (138) ~ (e11 = e10)
% 34.87/9.20 |
% 34.87/9.20 +-Applying beta-rule and splitting (3363), into two cases.
% 34.87/9.20 |-Branch one:
% 34.87/9.20 | (3364) all_0_115_115 = e11
% 34.87/9.20 |
% 34.87/9.20 | Combining equations (3151,3364) yields a new equation:
% 34.87/9.20 | (3227) e13 = e11
% 34.87/9.20 |
% 34.87/9.20 | Simplifying 3227 yields:
% 34.87/9.20 | (3228) e13 = e11
% 34.87/9.20 |
% 34.87/9.20 | Equations (3228) can reduce 34 to:
% 34.87/9.20 | (401) $false
% 34.87/9.20 |
% 34.87/9.20 |-The branch is then unsatisfiable
% 34.87/9.20 |-Branch two:
% 34.87/9.20 | (3750) ~ (all_0_115_115 = e11)
% 34.87/9.20 | (3404) all_0_119_119 = e11
% 34.87/9.20 |
% 34.87/9.20 | Combining equations (3404,3328) yields a new equation:
% 34.87/9.20 | (3205) e11 = e10
% 34.87/9.20 |
% 34.87/9.20 | Simplifying 3205 yields:
% 34.87/9.20 | (3206) e11 = e10
% 34.87/9.20 |
% 34.87/9.20 | Equations (3206) can reduce 138 to:
% 34.87/9.20 | (401) $false
% 34.87/9.20 |
% 34.87/9.20 |-The branch is then unsatisfiable
% 34.87/9.21 |-Branch two:
% 34.87/9.21 | (3141) ~ (all_0_115_115 = e13)
% 34.87/9.21 | (4962) all_0_116_116 = e13 | all_0_118_118 = e13
% 34.87/9.21 |
% 34.87/9.21 +-Applying beta-rule and splitting (4962), into two cases.
% 34.87/9.21 |-Branch one:
% 34.87/9.21 | (3139) all_0_116_116 = e13
% 34.87/9.21 |
% 34.87/9.21 | Equations (3139) can reduce 3766 to:
% 34.87/9.21 | (401) $false
% 34.87/9.21 |
% 34.87/9.21 |-The branch is then unsatisfiable
% 34.87/9.21 |-Branch two:
% 34.87/9.21 | (3766) ~ (all_0_116_116 = e13)
% 34.87/9.21 | (3801) all_0_118_118 = e13
% 34.87/9.21 |
% 34.87/9.21 | Equations (3801) can reduce 249 to:
% 34.87/9.21 | (3795) ~ (all_0_114_114 = e13)
% 34.87/9.21 |
% 34.87/9.21 | Equations (3801) can reduce 101 to:
% 34.87/9.21 | (3141) ~ (all_0_115_115 = e13)
% 34.87/9.21 |
% 34.87/9.21 | Equations (3801) can reduce 336 to:
% 34.87/9.21 | (3766) ~ (all_0_116_116 = e13)
% 34.87/9.21 |
% 34.87/9.21 | Equations (3801) can reduce 192 to:
% 34.87/9.21 | (29) ~ (all_0_117_117 = e13)
% 34.87/9.21 |
% 34.87/9.21 | Equations (3801) can reduce 286 to:
% 34.87/9.21 | (3175) ~ (all_0_122_122 = e13)
% 34.87/9.21 |
% 34.87/9.21 | Simplifying 3175 yields:
% 34.87/9.21 | (3176) ~ (all_0_122_122 = e13)
% 34.87/9.21 |
% 34.87/9.21 | Equations (3801) can reduce 164 to:
% 34.87/9.21 | (34) ~ (e13 = e11)
% 34.87/9.21 |
% 34.87/9.21 | From (3801) and (170) follows:
% 34.87/9.21 | (4974) op1(e12, e10) = e13
% 34.87/9.21 |
% 34.87/9.21 +-Applying beta-rule and splitting (253), into two cases.
% 34.87/9.21 |-Branch one:
% 34.87/9.21 | (3151) all_0_115_115 = e13
% 34.87/9.21 |
% 34.87/9.21 | Equations (3151) can reduce 3141 to:
% 34.87/9.21 | (401) $false
% 34.87/9.21 |
% 34.87/9.21 |-The branch is then unsatisfiable
% 34.87/9.21 |-Branch two:
% 34.87/9.21 | (3141) ~ (all_0_115_115 = e13)
% 34.87/9.21 | (3154) all_0_115_115 = e11 | all_0_115_115 = e10
% 34.87/9.21 |
% 34.87/9.21 +-Applying beta-rule and splitting (288), into two cases.
% 34.87/9.21 |-Branch one:
% 34.87/9.21 | (3195) all_0_122_122 = e13
% 34.87/9.21 |
% 34.87/9.21 | Equations (3195) can reduce 3176 to:
% 34.87/9.21 | (401) $false
% 34.87/9.21 |
% 34.87/9.21 |-The branch is then unsatisfiable
% 34.87/9.21 |-Branch two:
% 34.87/9.21 | (3176) ~ (all_0_122_122 = e13)
% 34.87/9.21 | (3198) all_0_122_122 = e12 | all_0_122_122 = e10
% 34.87/9.21 |
% 34.87/9.21 +-Applying beta-rule and splitting (155), into two cases.
% 34.87/9.21 |-Branch one:
% 34.87/9.21 | (3162) all_0_111_111 = e13
% 34.87/9.21 |
% 34.87/9.21 | Equations (3162) can reduce 9 to:
% 34.87/9.21 | (4984) ~ (all_0_112_112 = e13)
% 34.87/9.21 |
% 34.87/9.21 | Simplifying 4984 yields:
% 34.87/9.21 | (3140) ~ (all_0_112_112 = e13)
% 34.87/9.21 |
% 34.87/9.21 | Equations (3162) can reduce 198 to:
% 34.87/9.21 | (3792) ~ (all_0_113_113 = e13)
% 34.87/9.21 |
% 34.87/9.21 | Simplifying 3792 yields:
% 34.87/9.21 | (177) ~ (all_0_113_113 = e13)
% 34.87/9.21 |
% 34.87/9.21 | Equations (3162) can reduce 273 to:
% 34.87/9.21 | (3794) ~ (all_0_114_114 = e13)
% 34.87/9.21 |
% 34.87/9.21 | Simplifying 3794 yields:
% 34.87/9.21 | (3795) ~ (all_0_114_114 = e13)
% 34.87/9.21 |
% 35.12/9.21 | Equations (3162) can reduce 157 to:
% 35.12/9.21 | (4990) ~ (all_0_115_115 = e13)
% 35.12/9.21 |
% 35.12/9.21 | Simplifying 4990 yields:
% 35.12/9.21 | (3141) ~ (all_0_115_115 = e13)
% 35.12/9.21 |
% 35.12/9.21 | Equations (3162) can reduce 180 to:
% 35.12/9.21 | (76) ~ (e13 = e12)
% 35.12/9.21 |
% 35.12/9.21 +-Applying beta-rule and splitting (71), into two cases.
% 35.12/9.21 |-Branch one:
% 35.12/9.21 | (3166) all_0_112_112 = e13
% 35.12/9.21 |
% 35.12/9.21 | Equations (3166) can reduce 3140 to:
% 35.12/9.21 | (401) $false
% 35.12/9.21 |
% 35.12/9.21 |-The branch is then unsatisfiable
% 35.12/9.21 |-Branch two:
% 35.12/9.21 | (3140) ~ (all_0_112_112 = e13)
% 35.12/9.21 | (4330) all_0_116_116 = e13 | all_0_120_120 = e13
% 35.12/9.21 |
% 35.12/9.21 +-Applying beta-rule and splitting (4330), into two cases.
% 35.12/9.21 |-Branch one:
% 35.12/9.21 | (3139) all_0_116_116 = e13
% 35.12/9.21 |
% 35.12/9.21 | Equations (3139) can reduce 3766 to:
% 35.12/9.21 | (401) $false
% 35.12/9.21 |
% 35.12/9.21 |-The branch is then unsatisfiable
% 35.12/9.21 |-Branch two:
% 35.12/9.21 | (3766) ~ (all_0_116_116 = e13)
% 35.12/9.21 | (3183) all_0_120_120 = e13
% 35.12/9.21 |
% 35.12/9.21 | Equations (3183) can reduce 94 to:
% 35.12/9.21 | (3140) ~ (all_0_112_112 = e13)
% 35.12/9.21 |
% 35.12/9.21 | Equations (3183) can reduce 258 to:
% 35.12/9.21 | (3754) ~ (all_0_119_119 = e13)
% 35.12/9.21 |
% 35.12/9.21 | Equations (3183) can reduce 333 to:
% 35.12/9.21 | (4351) ~ (all_0_121_121 = e13)
% 35.12/9.21 |
% 35.12/9.21 | Simplifying 4351 yields:
% 35.12/9.21 | (204) ~ (all_0_121_121 = e13)
% 35.12/9.21 |
% 35.12/9.21 | Equations (3183) can reduce 262 to:
% 35.12/9.21 | (3175) ~ (all_0_122_122 = e13)
% 35.12/9.21 |
% 35.12/9.21 | Simplifying 3175 yields:
% 35.12/9.21 | (3176) ~ (all_0_122_122 = e13)
% 35.12/9.21 |
% 35.12/9.21 | Equations (3183) can reduce 235 to:
% 35.12/9.21 | (134) ~ (e13 = e10)
% 35.12/9.21 |
% 35.12/9.21 | From (3183) and (70) follows:
% 35.12/9.21 | (4356) op1(e10, e12) = e13
% 35.12/9.21 |
% 35.12/9.21 +-Applying beta-rule and splitting (66), into two cases.
% 35.12/9.21 |-Branch one:
% 35.12/9.21 | (3155) all_0_119_119 = e13
% 35.12/9.21 |
% 35.12/9.21 | Equations (3155) can reduce 3754 to:
% 35.12/9.21 | (401) $false
% 35.12/9.21 |
% 35.12/9.21 |-The branch is then unsatisfiable
% 35.12/9.21 |-Branch two:
% 35.12/9.21 | (3754) ~ (all_0_119_119 = e13)
% 35.12/9.21 | (3815) all_0_119_119 = e11 | all_0_119_119 = e10
% 35.12/9.21 |
% 35.12/9.21 +-Applying beta-rule and splitting (73), into two cases.
% 35.12/9.21 |-Branch one:
% 35.12/9.21 | (3169) all_0_114_114 = e13
% 35.12/9.21 |
% 35.12/9.21 | Equations (3169) can reduce 3795 to:
% 35.12/9.21 | (401) $false
% 35.12/9.21 |
% 35.12/9.21 |-The branch is then unsatisfiable
% 35.12/9.21 |-Branch two:
% 35.12/9.21 | (3795) ~ (all_0_114_114 = e13)
% 35.12/9.22 | (3827) all_0_114_114 = e12 | all_0_114_114 = e10
% 35.12/9.22 |
% 35.12/9.22 +-Applying beta-rule and splitting (56), into two cases.
% 35.12/9.22 |-Branch one:
% 35.12/9.22 | (3166) all_0_112_112 = e13
% 35.12/9.22 |
% 35.12/9.22 | Equations (3166) can reduce 3140 to:
% 35.12/9.22 | (401) $false
% 35.12/9.22 |
% 35.12/9.22 |-The branch is then unsatisfiable
% 35.12/9.22 |-Branch two:
% 35.12/9.22 | (3140) ~ (all_0_112_112 = e13)
% 35.12/9.22 | (3194) all_0_112_112 = e12 | all_0_112_112 = e11
% 35.12/9.22 |
% 35.12/9.22 +-Applying beta-rule and splitting (233), into two cases.
% 35.12/9.22 |-Branch one:
% 35.12/9.22 | (3204) all_0_111_111 = e10
% 35.12/9.22 |
% 35.12/9.22 | Combining equations (3204,3162) yields a new equation:
% 35.12/9.22 | (3304) e13 = e10
% 35.12/9.22 |
% 35.12/9.22 | Equations (3304) can reduce 134 to:
% 35.12/9.22 | (401) $false
% 35.12/9.22 |
% 35.12/9.22 |-The branch is then unsatisfiable
% 35.12/9.22 |-Branch two:
% 35.12/9.22 | (3208) ~ (all_0_111_111 = e10)
% 35.12/9.22 | (3276) all_0_115_115 = e10 | all_0_119_119 = e10
% 35.12/9.22 |
% 35.12/9.22 | Equations (3162) can reduce 3208 to:
% 35.12/9.22 | (134) ~ (e13 = e10)
% 35.12/9.22 |
% 35.12/9.22 +-Applying beta-rule and splitting (320), into two cases.
% 35.12/9.22 |-Branch one:
% 35.12/9.22 | (3404) all_0_119_119 = e11
% 35.12/9.22 |
% 35.12/9.22 | Equations (3404) can reduce 215 to:
% 35.12/9.22 | (3750) ~ (all_0_115_115 = e11)
% 35.12/9.22 |
% 35.12/9.22 | Equations (3404) can reduce 173 to:
% 35.12/9.22 | (3232) ~ (all_0_121_121 = e11)
% 35.12/9.22 |
% 35.12/9.22 | Simplifying 3232 yields:
% 35.12/9.22 | (3233) ~ (all_0_121_121 = e11)
% 35.12/9.22 |
% 35.12/9.22 | Equations (3404) can reduce 269 to:
% 35.12/9.22 | (3234) ~ (all_0_122_122 = e11)
% 35.12/9.22 |
% 35.12/9.22 | Simplifying 3234 yields:
% 35.12/9.22 | (147) ~ (all_0_122_122 = e11)
% 35.12/9.22 |
% 35.12/9.22 | Equations (3404) can reduce 60 to:
% 35.12/9.22 | (3236) ~ (e12 = e11)
% 35.12/9.22 |
% 35.12/9.22 | Simplifying 3236 yields:
% 35.12/9.22 | (208) ~ (e12 = e11)
% 35.12/9.22 |
% 35.12/9.22 | From (3404) and (315) follows:
% 35.12/9.22 | (4199) op1(e10, e13) = e11
% 35.12/9.22 |
% 35.12/9.22 +-Applying beta-rule and splitting (3154), into two cases.
% 35.12/9.22 |-Branch one:
% 35.12/9.22 | (3364) all_0_115_115 = e11
% 35.12/9.22 |
% 35.12/9.22 | Equations (3364) can reduce 3750 to:
% 35.12/9.22 | (401) $false
% 35.12/9.22 |
% 35.12/9.22 |-The branch is then unsatisfiable
% 35.12/9.22 |-Branch two:
% 35.12/9.22 | (3750) ~ (all_0_115_115 = e11)
% 35.12/9.22 | (3277) all_0_115_115 = e10
% 35.12/9.22 |
% 35.12/9.22 | Equations (3277) can reduce 267 to:
% 35.12/9.22 | (5040) ~ (all_0_116_116 = e10)
% 35.12/9.22 |
% 35.12/9.22 | Simplifying 5040 yields:
% 35.12/9.22 | (210) ~ (all_0_116_116 = e10)
% 35.12/9.22 |
% 35.12/9.22 | Equations (3277) can reduce 3141 to:
% 35.12/9.22 | (3323) ~ (e13 = e10)
% 35.12/9.22 |
% 35.12/9.22 | Simplifying 3323 yields:
% 35.12/9.22 | (134) ~ (e13 = e10)
% 35.12/9.22 |
% 35.12/9.22 | Equations (3277) can reduce 3750 to:
% 35.12/9.22 | (3283) ~ (e11 = e10)
% 35.12/9.22 |
% 35.12/9.22 | Simplifying 3283 yields:
% 35.12/9.22 | (138) ~ (e11 = e10)
% 35.12/9.22 |
% 35.12/9.22 | From (3277) and (301) follows:
% 35.12/9.22 | (3278) op1(e12, e13) = e10
% 35.12/9.22 |
% 35.12/9.22 +-Applying beta-rule and splitting (319), into two cases.
% 35.12/9.22 |-Branch one:
% 35.12/9.22 | (3328) all_0_119_119 = e10
% 35.12/9.22 |
% 35.12/9.22 | Combining equations (3328,3404) yields a new equation:
% 35.12/9.22 | (3206) e11 = e10
% 35.12/9.22 |
% 35.12/9.22 | Equations (3206) can reduce 138 to:
% 35.12/9.22 | (401) $false
% 35.12/9.22 |
% 35.12/9.22 |-The branch is then unsatisfiable
% 35.12/9.22 |-Branch two:
% 35.12/9.22 | (3414) ~ (all_0_119_119 = e10)
% 35.12/9.22 | (3415) all_0_121_121 = e10 | all_0_122_122 = e10
% 35.12/9.22 |
% 35.12/9.22 | Equations (3404) can reduce 3414 to:
% 35.12/9.22 | (138) ~ (e11 = e10)
% 35.12/9.22 |
% 35.12/9.22 +-Applying beta-rule and splitting (133), into two cases.
% 35.12/9.22 |-Branch one:
% 35.12/9.22 | (3240) all_0_113_113 = e11
% 35.12/9.22 |
% 35.12/9.22 | Equations (3240) can reduce 252 to:
% 35.12/9.22 | (3366) ~ (all_0_117_117 = e11)
% 35.12/9.22 |
% 35.12/9.22 | Simplifying 3366 yields:
% 35.12/9.22 | (3344) ~ (all_0_117_117 = e11)
% 35.12/9.22 |
% 35.12/9.22 | Equations (3240) can reduce 139 to:
% 35.12/9.22 | (3232) ~ (all_0_121_121 = e11)
% 35.12/9.22 |
% 35.12/9.22 | Simplifying 3232 yields:
% 35.12/9.22 | (3233) ~ (all_0_121_121 = e11)
% 35.12/9.22 |
% 35.12/9.22 +-Applying beta-rule and splitting (222), into two cases.
% 35.12/9.22 |-Branch one:
% 35.12/9.22 | (3364) all_0_115_115 = e11
% 35.12/9.22 |
% 35.12/9.22 | Combining equations (3277,3364) yields a new equation:
% 35.12/9.22 | (3206) e11 = e10
% 35.12/9.22 |
% 35.12/9.22 | Equations (3206) can reduce 138 to:
% 35.12/9.22 | (401) $false
% 35.12/9.22 |
% 35.12/9.22 |-The branch is then unsatisfiable
% 35.12/9.22 |-Branch two:
% 35.12/9.22 | (3750) ~ (all_0_115_115 = e11)
% 35.12/9.22 | (4005) all_0_116_116 = e11 | all_0_117_117 = e11
% 35.12/9.22 |
% 35.12/9.22 +-Applying beta-rule and splitting (4005), into two cases.
% 35.12/9.22 |-Branch one:
% 35.12/9.22 | (3226) all_0_116_116 = e11
% 35.12/9.22 |
% 35.12/9.22 | Equations (3226) can reduce 95 to:
% 35.12/9.22 | (3366) ~ (all_0_117_117 = e11)
% 35.12/9.22 |
% 35.12/9.22 | Simplifying 3366 yields:
% 35.12/9.22 | (3344) ~ (all_0_117_117 = e11)
% 35.12/9.22 |
% 35.12/9.22 | Equations (3226) can reduce 210 to:
% 35.12/9.22 | (138) ~ (e11 = e10)
% 35.12/9.22 |
% 35.12/9.22 +-Applying beta-rule and splitting (41), into two cases.
% 35.12/9.22 |-Branch one:
% 35.12/9.22 | (3253) all_0_116_116 = e12
% 35.12/9.22 |
% 35.12/9.22 | Combining equations (3226,3253) yields a new equation:
% 35.12/9.22 | (3222) e12 = e11
% 35.12/9.22 |
% 35.12/9.22 | Equations (3222) can reduce 208 to:
% 35.12/9.22 | (401) $false
% 35.12/9.22 |
% 35.12/9.22 |-The branch is then unsatisfiable
% 35.12/9.22 |-Branch two:
% 35.12/9.22 | (3256) ~ (all_0_116_116 = e12)
% 35.12/9.22 | (3257) all_0_117_117 = e12 | all_0_118_118 = e12
% 35.12/9.22 |
% 35.12/9.22 +-Applying beta-rule and splitting (316), into two cases.
% 35.12/9.22 |-Branch one:
% 35.12/9.22 | (3258) all_0_117_117 = e12
% 35.12/9.22 |
% 35.12/9.22 | Equations (3258) can reduce 126 to:
% 35.12/9.22 | (3652) ~ (all_0_121_121 = e12)
% 35.12/9.22 |
% 35.12/9.22 | Simplifying 3652 yields:
% 35.12/9.22 | (3332) ~ (all_0_121_121 = e12)
% 35.12/9.22 |
% 35.12/9.22 | Equations (3258) can reduce 29 to:
% 35.12/9.22 | (3217) ~ (e13 = e12)
% 35.12/9.22 |
% 35.12/9.22 | Simplifying 3217 yields:
% 35.12/9.22 | (76) ~ (e13 = e12)
% 35.12/9.22 |
% 35.12/9.22 | Equations (3258) can reduce 3344 to:
% 35.12/9.22 | (208) ~ (e12 = e11)
% 35.12/9.22 |
% 35.12/9.22 | From (3258) and (345) follows:
% 35.12/9.22 | (3303) op1(e12, e11) = e12
% 35.12/9.22 |
% 35.12/9.22 +-Applying beta-rule and splitting (51), into two cases.
% 35.12/9.22 |-Branch one:
% 35.12/9.23 | (3267) all_0_121_121 = e12
% 35.12/9.23 |
% 35.12/9.23 | Equations (3267) can reduce 3332 to:
% 35.12/9.23 | (401) $false
% 35.12/9.23 |
% 35.12/9.23 |-The branch is then unsatisfiable
% 35.12/9.23 |-Branch two:
% 35.12/9.23 | (3332) ~ (all_0_121_121 = e12)
% 35.12/9.23 | (3333) all_0_121_121 = e11 | all_0_121_121 = e10
% 35.12/9.23 |
% 35.12/9.23 +-Applying beta-rule and splitting (143), into two cases.
% 35.12/9.23 |-Branch one:
% 35.12/9.23 | (3214) all_0_112_112 = e12
% 35.12/9.23 |
% 35.12/9.23 | Equations (3214) can reduce 3140 to:
% 35.12/9.23 | (3217) ~ (e13 = e12)
% 35.12/9.23 |
% 35.12/9.23 | Simplifying 3217 yields:
% 35.12/9.23 | (76) ~ (e13 = e12)
% 35.12/9.23 |
% 35.12/9.23 | From (3214) and (32) follows:
% 35.12/9.23 | (4388) op1(e13, e12) = e12
% 35.12/9.23 |
% 35.12/9.23 +-Applying beta-rule and splitting (325), into two cases.
% 35.12/9.23 |-Branch one:
% 35.12/9.23 | (3334) all_0_120_120 = e12
% 35.12/9.23 |
% 35.12/9.23 | Combining equations (3334,3183) yields a new equation:
% 35.12/9.23 | (3254) e13 = e12
% 35.12/9.23 |
% 35.12/9.23 | Equations (3254) can reduce 76 to:
% 35.12/9.23 | (401) $false
% 35.12/9.23 |
% 35.12/9.23 |-The branch is then unsatisfiable
% 35.12/9.23 |-Branch two:
% 35.12/9.23 | (3216) ~ (all_0_120_120 = e12)
% 35.12/9.23 | (3338) all_0_121_121 = e12 | all_0_122_122 = e12
% 35.12/9.23 |
% 35.12/9.23 +-Applying beta-rule and splitting (3338), into two cases.
% 35.12/9.23 |-Branch one:
% 35.12/9.23 | (3267) all_0_121_121 = e12
% 35.12/9.23 |
% 35.12/9.23 | Equations (3267) can reduce 3332 to:
% 35.12/9.23 | (401) $false
% 35.12/9.23 |
% 35.12/9.23 |-The branch is then unsatisfiable
% 35.12/9.23 |-Branch two:
% 35.12/9.23 | (3332) ~ (all_0_121_121 = e12)
% 35.12/9.23 | (3279) all_0_122_122 = e12
% 35.12/9.23 |
% 35.12/9.23 | Equations (3279) can reduce 10 to:
% 35.12/9.23 | (3448) ~ (all_0_114_114 = e12)
% 35.12/9.23 |
% 35.12/9.23 +-Applying beta-rule and splitting (85), into two cases.
% 35.12/9.23 |-Branch one:
% 35.12/9.23 | (3358) all_0_114_114 = e10
% 35.12/9.23 |
% 35.12/9.23 | From (3358) and (145) follows:
% 35.12/9.23 | (4043) op1(e13, e10) = e10
% 35.12/9.23 |
% 35.12/9.23 +-Applying beta-rule and splitting (3333), into two cases.
% 35.12/9.23 |-Branch one:
% 35.12/9.23 | (3345) all_0_121_121 = e11
% 35.12/9.23 |
% 35.12/9.23 | Equations (3345) can reduce 3233 to:
% 35.12/9.23 | (401) $false
% 35.12/9.23 |
% 35.12/9.23 |-The branch is then unsatisfiable
% 35.12/9.23 |-Branch two:
% 35.12/9.23 | (3233) ~ (all_0_121_121 = e11)
% 35.12/9.23 | (3438) all_0_121_121 = e10
% 35.12/9.23 |
% 35.12/9.23 | Equations (3438) can reduce 3233 to:
% 35.12/9.23 | (3283) ~ (e11 = e10)
% 35.12/9.23 |
% 35.12/9.23 | Simplifying 3283 yields:
% 35.12/9.23 | (138) ~ (e11 = e10)
% 35.12/9.23 |
% 35.12/9.23 +-Applying beta-rule and splitting (272), into two cases.
% 35.12/9.23 |-Branch one:
% 35.12/9.23 | (3285) unit1 = e13
% 35.12/9.23 |
% 35.12/9.23 | From (3285) and (136) follows:
% 35.12/9.23 | (3286) op1(e12, e13) = e12
% 35.12/9.23 |
% 35.12/9.23 | From (3285) and (246) follows:
% 35.12/9.23 | (3287) op1(e11, e13) = e11
% 35.12/9.23 |
% 35.12/9.23 | Instantiating formula (291) with e12, e13, e12, e10 and discharging atoms op1(e12, e13) = e12, op1(e12, e13) = e10, yields:
% 35.12/9.23 | (3288) e12 = e10
% 35.12/9.23 |
% 35.12/9.23 | Instantiating formula (291) with e11, e13, e11, e12 and discharging atoms op1(e11, e13) = e12, op1(e11, e13) = e11, yields:
% 35.12/9.23 | (3222) e12 = e11
% 35.12/9.23 |
% 35.12/9.23 | Combining equations (3222,3288) yields a new equation:
% 35.12/9.23 | (3205) e11 = e10
% 35.12/9.23 |
% 35.12/9.23 | Simplifying 3205 yields:
% 35.12/9.23 | (3206) e11 = e10
% 35.12/9.23 |
% 35.12/9.23 | Equations (3206) can reduce 138 to:
% 35.12/9.23 | (401) $false
% 35.12/9.23 |
% 35.12/9.23 |-The branch is then unsatisfiable
% 35.12/9.23 |-Branch two:
% 35.12/9.23 | (3292) ~ (unit1 = e13)
% 35.12/9.23 | (3293) unit1 = e12 | unit1 = e11 | unit1 = e10
% 35.12/9.23 |
% 35.12/9.23 +-Applying beta-rule and splitting (3293), into two cases.
% 35.12/9.23 |-Branch one:
% 35.12/9.23 | (3294) unit1 = e12
% 35.12/9.23 |
% 35.12/9.23 | From (3294) and (92) follows:
% 35.12/9.23 | (3252) op1(e12, e11) = e11
% 35.12/9.23 |
% 35.12/9.23 | From (3294) and (206) follows:
% 35.12/9.23 | (4470) op1(e13, e12) = e13
% 35.12/9.23 |
% 35.12/9.23 | From (3294) and (207) follows:
% 35.12/9.23 | (3295) op1(e10, e12) = e10
% 35.12/9.23 |
% 35.12/9.23 | Instantiating formula (291) with e13, e12, e13, e12 and discharging atoms op1(e13, e12) = e13, op1(e13, e12) = e12, yields:
% 35.12/9.23 | (3254) e13 = e12
% 35.12/9.23 |
% 35.12/9.23 | Instantiating formula (291) with e12, e11, e11, e12 and discharging atoms op1(e12, e11) = e12, op1(e12, e11) = e11, yields:
% 35.12/9.23 | (3222) e12 = e11
% 35.12/9.23 |
% 35.12/9.23 | Instantiating formula (291) with e10, e12, e10, e13 and discharging atoms op1(e10, e12) = e13, op1(e10, e12) = e10, yields:
% 35.12/9.23 | (3304) e13 = e10
% 35.12/9.23 |
% 35.12/9.23 | Combining equations (3304,3254) yields a new equation:
% 35.12/9.23 | (3288) e12 = e10
% 35.12/9.23 |
% 35.12/9.23 | Combining equations (3288,3222) yields a new equation:
% 35.12/9.23 | (3206) e11 = e10
% 35.12/9.23 |
% 35.12/9.23 | Equations (3206) can reduce 138 to:
% 35.12/9.23 | (401) $false
% 35.12/9.23 |
% 35.12/9.23 |-The branch is then unsatisfiable
% 35.12/9.23 |-Branch two:
% 35.12/9.23 | (3298) ~ (unit1 = e12)
% 35.12/9.23 | (3299) unit1 = e11 | unit1 = e10
% 35.12/9.23 |
% 35.12/9.23 +-Applying beta-rule and splitting (3299), into two cases.
% 35.12/9.23 |-Branch one:
% 35.12/9.23 | (3300) unit1 = e11
% 35.12/9.23 |
% 35.12/9.23 | From (3300) and (205) follows:
% 35.12/9.23 | (3301) op1(e11, e13) = e13
% 35.12/9.23 |
% 35.12/9.23 | From (3300) and (362) follows:
% 35.12/9.23 | (3484) op1(e11, e12) = e12
% 35.12/9.23 |
% 35.12/9.23 | From (3300) and (246) follows:
% 35.12/9.23 | (3485) op1(e11, e11) = e11
% 35.12/9.23 |
% 35.12/9.23 | Instantiating formula (291) with e11, e13, e13, e12 and discharging atoms op1(e11, e13) = e13, op1(e11, e13) = e12, yields:
% 35.12/9.23 | (3254) e13 = e12
% 35.12/9.23 |
% 35.12/9.23 | Instantiating formula (291) with e11, e12, e12, e10 and discharging atoms op1(e11, e12) = e12, op1(e11, e12) = e10, yields:
% 35.12/9.23 | (3288) e12 = e10
% 35.12/9.23 |
% 35.12/9.23 | Instantiating formula (291) with e11, e11, e11, e13 and discharging atoms op1(e11, e11) = e13, op1(e11, e11) = e11, yields:
% 35.12/9.23 | (3228) e13 = e11
% 35.12/9.23 |
% 35.12/9.23 | Combining equations (3228,3254) yields a new equation:
% 35.12/9.23 | (3222) e12 = e11
% 35.12/9.23 |
% 35.12/9.23 | Combining equations (3222,3288) yields a new equation:
% 35.12/9.23 | (3205) e11 = e10
% 35.12/9.23 |
% 35.12/9.23 | Simplifying 3205 yields:
% 35.12/9.23 | (3206) e11 = e10
% 35.12/9.23 |
% 35.12/9.23 | Equations (3206) can reduce 138 to:
% 35.12/9.23 | (401) $false
% 35.12/9.23 |
% 35.12/9.23 |-The branch is then unsatisfiable
% 35.12/9.23 |-Branch two:
% 35.12/9.23 | (3312) ~ (unit1 = e11)
% 35.12/9.23 | (3313) unit1 = e10
% 35.12/9.23 |
% 35.12/9.23 | Equations (3313) can reduce 3312 to:
% 35.12/9.23 | (3283) ~ (e11 = e10)
% 35.12/9.23 |
% 35.12/9.24 | Simplifying 3283 yields:
% 35.12/9.24 | (138) ~ (e11 = e10)
% 35.12/9.24 |
% 35.12/9.24 | From (3313) and (205) follows:
% 35.12/9.24 | (4273) op1(e10, e13) = e13
% 35.12/9.24 |
% 35.12/9.24 | From (3313) and (362) follows:
% 35.12/9.24 | (3497) op1(e10, e12) = e12
% 35.12/9.24 |
% 35.12/9.24 | From (3313) and (206) follows:
% 35.12/9.24 | (4078) op1(e13, e10) = e13
% 35.12/9.24 |
% 35.12/9.24 | Instantiating formula (291) with e13, e10, e13, e10 and discharging atoms op1(e13, e10) = e13, op1(e13, e10) = e10, yields:
% 35.12/9.24 | (3304) e13 = e10
% 35.12/9.24 |
% 35.12/9.24 | Instantiating formula (291) with e10, e13, e13, e11 and discharging atoms op1(e10, e13) = e13, op1(e10, e13) = e11, yields:
% 35.12/9.24 | (3228) e13 = e11
% 35.12/9.24 |
% 35.12/9.24 | Instantiating formula (291) with e10, e12, e12, e13 and discharging atoms op1(e10, e12) = e13, op1(e10, e12) = e12, yields:
% 35.12/9.24 | (3254) e13 = e12
% 35.12/9.24 |
% 35.12/9.24 | Combining equations (3304,3254) yields a new equation:
% 35.12/9.24 | (3288) e12 = e10
% 35.12/9.24 |
% 35.12/9.24 | Combining equations (3228,3254) yields a new equation:
% 35.12/9.24 | (3222) e12 = e11
% 35.12/9.24 |
% 35.12/9.24 | Combining equations (3222,3288) yields a new equation:
% 35.12/9.24 | (3205) e11 = e10
% 35.12/9.24 |
% 35.12/9.24 | Simplifying 3205 yields:
% 35.12/9.24 | (3206) e11 = e10
% 35.12/9.24 |
% 35.12/9.24 | Equations (3206) can reduce 138 to:
% 35.12/9.24 | (401) $false
% 35.12/9.24 |
% 35.12/9.24 |-The branch is then unsatisfiable
% 35.12/9.24 |-Branch two:
% 35.12/9.24 | (3391) ~ (all_0_114_114 = e10)
% 35.12/9.24 | (3392) all_0_118_118 = e10 | all_0_122_122 = e10
% 35.12/9.24 |
% 35.12/9.24 +-Applying beta-rule and splitting (3827), into two cases.
% 35.12/9.24 |-Branch one:
% 35.12/9.24 | (3353) all_0_114_114 = e12
% 35.12/9.24 |
% 35.12/9.24 | Equations (3353) can reduce 3448 to:
% 35.12/9.24 | (401) $false
% 35.12/9.24 |
% 35.12/9.24 |-The branch is then unsatisfiable
% 35.12/9.24 |-Branch two:
% 35.12/9.24 | (3448) ~ (all_0_114_114 = e12)
% 35.12/9.24 | (3358) all_0_114_114 = e10
% 35.12/9.24 |
% 35.12/9.24 | Equations (3358) can reduce 3391 to:
% 35.12/9.24 | (401) $false
% 35.12/9.24 |
% 35.12/9.24 |-The branch is then unsatisfiable
% 35.12/9.24 |-Branch two:
% 35.12/9.24 | (3347) ~ (all_0_112_112 = e12)
% 35.12/9.24 | (3640) all_0_116_116 = e12 | all_0_120_120 = e12
% 35.12/9.24 |
% 35.12/9.24 +-Applying beta-rule and splitting (3640), into two cases.
% 35.12/9.24 |-Branch one:
% 35.12/9.24 | (3253) all_0_116_116 = e12
% 35.12/9.24 |
% 35.12/9.24 | Combining equations (3226,3253) yields a new equation:
% 35.12/9.24 | (3222) e12 = e11
% 35.12/9.24 |
% 35.12/9.24 | Equations (3222) can reduce 208 to:
% 35.12/9.24 | (401) $false
% 35.12/9.24 |
% 35.12/9.24 |-The branch is then unsatisfiable
% 35.12/9.24 |-Branch two:
% 35.12/9.24 | (3256) ~ (all_0_116_116 = e12)
% 35.12/9.24 | (3334) all_0_120_120 = e12
% 35.12/9.24 |
% 35.12/9.24 | Combining equations (3183,3334) yields a new equation:
% 35.12/9.24 | (3354) e13 = e12
% 35.12/9.24 |
% 35.12/9.24 | Simplifying 3354 yields:
% 35.12/9.24 | (3254) e13 = e12
% 35.12/9.24 |
% 35.12/9.24 | Equations (3254) can reduce 76 to:
% 35.12/9.24 | (401) $false
% 35.12/9.24 |
% 35.12/9.24 |-The branch is then unsatisfiable
% 35.12/9.24 |-Branch two:
% 35.12/9.24 | (3262) ~ (all_0_117_117 = e12)
% 35.12/9.24 | (3530) all_0_117_117 = e11 | all_0_117_117 = e10
% 35.12/9.24 |
% 35.12/9.24 +-Applying beta-rule and splitting (194), into two cases.
% 35.12/9.24 |-Branch one:
% 35.12/9.24 | (3204) all_0_111_111 = e10
% 35.12/9.24 |
% 35.12/9.24 | Combining equations (3204,3162) yields a new equation:
% 35.12/9.24 | (3304) e13 = e10
% 35.12/9.24 |
% 35.12/9.24 | Equations (3304) can reduce 134 to:
% 35.12/9.24 | (401) $false
% 35.12/9.24 |
% 35.12/9.24 |-The branch is then unsatisfiable
% 35.12/9.24 |-Branch two:
% 35.12/9.24 | (3208) ~ (all_0_111_111 = e10)
% 35.12/9.24 | (3209) all_0_113_113 = e10 | all_0_114_114 = e10
% 35.12/9.24 |
% 35.12/9.24 +-Applying beta-rule and splitting (3209), into two cases.
% 35.12/9.24 |-Branch one:
% 35.12/9.24 | (3210) all_0_113_113 = e10
% 35.12/9.24 |
% 35.12/9.24 | Combining equations (3240,3210) yields a new equation:
% 35.12/9.24 | (3205) e11 = e10
% 35.12/9.24 |
% 35.12/9.24 | Simplifying 3205 yields:
% 35.12/9.24 | (3206) e11 = e10
% 35.12/9.24 |
% 35.12/9.24 | Equations (3206) can reduce 138 to:
% 35.12/9.24 | (401) $false
% 35.12/9.24 |
% 35.12/9.24 |-The branch is then unsatisfiable
% 35.12/9.24 |-Branch two:
% 35.12/9.24 | (3357) ~ (all_0_113_113 = e10)
% 35.12/9.24 | (3358) all_0_114_114 = e10
% 35.12/9.24 |
% 35.12/9.24 | Equations (3358) can reduce 10 to:
% 35.12/9.24 | (3439) ~ (all_0_122_122 = e10)
% 35.12/9.24 |
% 35.12/9.24 | Simplifying 3439 yields:
% 35.12/9.24 | (3440) ~ (all_0_122_122 = e10)
% 35.12/9.24 |
% 35.12/9.24 +-Applying beta-rule and splitting (3198), into two cases.
% 35.12/9.24 |-Branch one:
% 35.12/9.24 | (3279) all_0_122_122 = e12
% 35.12/9.24 |
% 35.12/9.24 | Equations (3279) can reduce 3176 to:
% 35.12/9.24 | (3217) ~ (e13 = e12)
% 35.12/9.24 |
% 35.12/9.24 | Simplifying 3217 yields:
% 35.12/9.24 | (76) ~ (e13 = e12)
% 35.12/9.24 |
% 35.12/9.24 +-Applying beta-rule and splitting (3257), into two cases.
% 35.12/9.24 |-Branch one:
% 35.12/9.24 | (3258) all_0_117_117 = e12
% 35.12/9.24 |
% 35.12/9.24 | Equations (3258) can reduce 3262 to:
% 35.12/9.24 | (401) $false
% 35.12/9.24 |
% 35.12/9.24 |-The branch is then unsatisfiable
% 35.12/9.24 |-Branch two:
% 35.12/9.24 | (3262) ~ (all_0_117_117 = e12)
% 35.12/9.25 | (3263) all_0_118_118 = e12
% 35.12/9.25 |
% 35.12/9.25 | Combining equations (3263,3801) yields a new equation:
% 35.12/9.25 | (3254) e13 = e12
% 35.12/9.25 |
% 35.12/9.25 | Equations (3254) can reduce 76 to:
% 35.12/9.25 | (401) $false
% 35.12/9.25 |
% 35.12/9.25 |-The branch is then unsatisfiable
% 35.12/9.25 |-Branch two:
% 35.12/9.25 | (3265) ~ (all_0_122_122 = e12)
% 35.12/9.25 | (3282) all_0_122_122 = e10
% 35.12/9.25 |
% 35.12/9.25 | Equations (3282) can reduce 3440 to:
% 35.12/9.25 | (401) $false
% 35.12/9.25 |
% 35.12/9.25 |-The branch is then unsatisfiable
% 35.12/9.25 |-Branch two:
% 35.12/9.25 | (3230) ~ (all_0_116_116 = e11)
% 35.12/9.25 | (3246) all_0_117_117 = e11
% 35.12/9.25 |
% 35.12/9.25 | Equations (3246) can reduce 3344 to:
% 35.12/9.25 | (401) $false
% 35.12/9.25 |
% 35.12/9.25 |-The branch is then unsatisfiable
% 35.12/9.25 |-Branch two:
% 35.12/9.25 | (3244) ~ (all_0_113_113 = e11)
% 35.12/9.25 | (3245) all_0_117_117 = e11 | all_0_121_121 = e11
% 35.12/9.25 |
% 35.12/9.25 +-Applying beta-rule and splitting (3245), into two cases.
% 35.12/9.25 |-Branch one:
% 35.12/9.25 | (3246) all_0_117_117 = e11
% 35.12/9.25 |
% 35.12/9.25 | Equations (3246) can reduce 95 to:
% 35.12/9.25 | (3230) ~ (all_0_116_116 = e11)
% 35.12/9.25 |
% 35.12/9.25 | Equations (3246) can reduce 126 to:
% 35.12/9.25 | (3232) ~ (all_0_121_121 = e11)
% 35.12/9.25 |
% 35.12/9.25 | Simplifying 3232 yields:
% 35.12/9.25 | (3233) ~ (all_0_121_121 = e11)
% 35.12/9.25 |
% 35.12/9.25 | Equations (3246) can reduce 29 to:
% 35.12/9.25 | (3202) ~ (e13 = e11)
% 35.12/9.25 |
% 35.12/9.25 | Simplifying 3202 yields:
% 35.12/9.25 | (34) ~ (e13 = e11)
% 35.12/9.25 |
% 35.12/9.25 | From (3246) and (345) follows:
% 35.12/9.25 | (3252) op1(e12, e11) = e11
% 35.12/9.25 |
% 35.12/9.25 +-Applying beta-rule and splitting (41), into two cases.
% 35.12/9.25 |-Branch one:
% 35.12/9.25 | (3253) all_0_116_116 = e12
% 35.12/9.25 |
% 35.12/9.25 | Equations (3253) can reduce 187 to:
% 35.12/9.25 | (3347) ~ (all_0_112_112 = e12)
% 35.12/9.25 |
% 35.12/9.25 | Equations (3253) can reduce 3230 to:
% 35.12/9.25 | (208) ~ (e12 = e11)
% 35.12/9.25 |
% 35.12/9.25 | Equations (3253) can reduce 210 to:
% 35.12/9.25 | (159) ~ (e12 = e10)
% 35.12/9.25 |
% 35.12/9.25 +-Applying beta-rule and splitting (282), into two cases.
% 35.12/9.25 |-Branch one:
% 35.12/9.25 | (3220) all_0_112_112 = e11
% 35.12/9.25 |
% 35.12/9.25 | Equations (3220) can reduce 248 to:
% 35.12/9.25 | (3833) ~ (all_0_113_113 = e11)
% 35.12/9.25 |
% 35.12/9.25 | Simplifying 3833 yields:
% 35.12/9.25 | (3244) ~ (all_0_113_113 = e11)
% 35.12/9.25 |
% 35.12/9.25 | Equations (3220) can reduce 356 to:
% 35.12/9.25 | (3835) ~ (all_0_114_114 = e11)
% 35.12/9.25 |
% 35.12/9.25 | Simplifying 3835 yields:
% 35.12/9.25 | (55) ~ (all_0_114_114 = e11)
% 35.12/9.25 |
% 35.12/9.25 | Equations (3220) can reduce 3347 to:
% 35.12/9.25 | (3236) ~ (e12 = e11)
% 35.12/9.25 |
% 35.12/9.25 | Simplifying 3236 yields:
% 35.12/9.25 | (208) ~ (e12 = e11)
% 35.12/9.25 |
% 35.12/9.25 | From (3220) and (32) follows:
% 35.12/9.25 | (4756) op1(e13, e12) = e11
% 35.12/9.25 |
% 35.12/9.25 +-Applying beta-rule and splitting (243), into two cases.
% 35.12/9.25 |-Branch one:
% 35.12/9.25 | (3349) all_0_113_113 = e12
% 35.12/9.25 |
% 35.12/9.25 | Equations (3349) can reduce 25 to:
% 35.12/9.25 | (3849) ~ (all_0_114_114 = e12)
% 35.12/9.25 |
% 35.12/9.25 | Simplifying 3849 yields:
% 35.12/9.25 | (3448) ~ (all_0_114_114 = e12)
% 35.12/9.25 |
% 35.12/9.25 +-Applying beta-rule and splitting (72), into two cases.
% 35.12/9.25 |-Branch one:
% 35.12/9.25 | (3210) all_0_113_113 = e10
% 35.12/9.25 |
% 35.12/9.25 | Combining equations (3349,3210) yields a new equation:
% 35.12/9.25 | (3307) e12 = e10
% 35.12/9.25 |
% 35.12/9.25 | Simplifying 3307 yields:
% 35.12/9.25 | (3288) e12 = e10
% 35.12/9.25 |
% 35.12/9.25 | Equations (3288) can reduce 159 to:
% 35.12/9.25 | (401) $false
% 35.12/9.25 |
% 35.12/9.25 |-The branch is then unsatisfiable
% 35.12/9.25 |-Branch two:
% 35.12/9.25 | (3357) ~ (all_0_113_113 = e10)
% 35.12/9.25 | (3403) all_0_117_117 = e10 | all_0_121_121 = e10
% 35.12/9.25 |
% 35.12/9.25 +-Applying beta-rule and splitting (3827), into two cases.
% 35.12/9.25 |-Branch one:
% 35.12/9.25 | (3353) all_0_114_114 = e12
% 35.12/9.25 |
% 35.12/9.25 | Equations (3353) can reduce 3448 to:
% 35.12/9.25 | (401) $false
% 35.12/9.25 |
% 35.12/9.25 |-The branch is then unsatisfiable
% 35.12/9.25 |-Branch two:
% 35.12/9.25 | (3448) ~ (all_0_114_114 = e12)
% 35.12/9.25 | (3358) all_0_114_114 = e10
% 35.12/9.25 |
% 35.12/9.25 | Equations (3358) can reduce 55 to:
% 35.12/9.25 | (3283) ~ (e11 = e10)
% 35.12/9.25 |
% 35.12/9.25 | Simplifying 3283 yields:
% 35.12/9.25 | (138) ~ (e11 = e10)
% 35.12/9.25 |
% 35.12/9.25 | From (3358) and (145) follows:
% 35.12/9.25 | (4043) op1(e13, e10) = e10
% 35.12/9.25 |
% 35.12/9.25 +-Applying beta-rule and splitting (3403), into two cases.
% 35.12/9.25 |-Branch one:
% 35.12/9.25 | (3433) all_0_117_117 = e10
% 35.12/9.25 |
% 35.12/9.25 | Combining equations (3433,3246) yields a new equation:
% 35.12/9.25 | (3206) e11 = e10
% 35.12/9.25 |
% 35.12/9.25 | Equations (3206) can reduce 138 to:
% 35.12/9.25 | (401) $false
% 35.12/9.25 |
% 35.12/9.25 |-The branch is then unsatisfiable
% 35.12/9.25 |-Branch two:
% 35.12/9.25 | (3212) ~ (all_0_117_117 = e10)
% 35.12/9.25 | (3438) all_0_121_121 = e10
% 35.12/9.25 |
% 35.12/9.25 | Equations (3438) can reduce 3233 to:
% 35.12/9.25 | (3283) ~ (e11 = e10)
% 35.12/9.25 |
% 35.12/9.25 | Simplifying 3283 yields:
% 35.12/9.25 | (138) ~ (e11 = e10)
% 35.12/9.25 |
% 35.12/9.25 +-Applying beta-rule and splitting (272), into two cases.
% 35.12/9.25 |-Branch one:
% 35.12/9.25 | (3285) unit1 = e13
% 35.12/9.25 |
% 35.12/9.25 | From (3285) and (136) follows:
% 35.12/9.25 | (3286) op1(e12, e13) = e12
% 35.12/9.26 |
% 35.12/9.26 | From (3285) and (246) follows:
% 35.12/9.26 | (3287) op1(e11, e13) = e11
% 35.12/9.26 |
% 35.12/9.26 | Instantiating formula (291) with e12, e13, e12, e10 and discharging atoms op1(e12, e13) = e12, op1(e12, e13) = e10, yields:
% 35.12/9.26 | (3288) e12 = e10
% 35.12/9.26 |
% 35.12/9.26 | Instantiating formula (291) with e11, e13, e11, e12 and discharging atoms op1(e11, e13) = e12, op1(e11, e13) = e11, yields:
% 35.12/9.26 | (3222) e12 = e11
% 35.12/9.26 |
% 35.12/9.26 | Combining equations (3288,3222) yields a new equation:
% 35.12/9.26 | (3206) e11 = e10
% 35.12/9.26 |
% 35.12/9.26 | Equations (3206) can reduce 138 to:
% 35.12/9.26 | (401) $false
% 35.12/9.26 |
% 35.12/9.26 |-The branch is then unsatisfiable
% 35.12/9.26 |-Branch two:
% 35.12/9.26 | (3292) ~ (unit1 = e13)
% 35.12/9.26 | (3293) unit1 = e12 | unit1 = e11 | unit1 = e10
% 35.12/9.26 |
% 35.12/9.26 +-Applying beta-rule and splitting (3293), into two cases.
% 35.12/9.26 |-Branch one:
% 35.12/9.26 | (3294) unit1 = e12
% 35.12/9.26 |
% 35.12/9.26 | From (3294) and (206) follows:
% 35.12/9.26 | (4470) op1(e13, e12) = e13
% 35.12/9.26 |
% 35.12/9.26 | From (3294) and (207) follows:
% 35.12/9.26 | (3295) op1(e10, e12) = e10
% 35.12/9.26 |
% 35.12/9.26 | Instantiating formula (291) with e13, e12, e13, e11 and discharging atoms op1(e13, e12) = e13, op1(e13, e12) = e11, yields:
% 35.30/9.26 | (3228) e13 = e11
% 35.30/9.26 |
% 35.30/9.26 | Instantiating formula (291) with e10, e12, e10, e13 and discharging atoms op1(e10, e12) = e13, op1(e10, e12) = e10, yields:
% 35.30/9.26 | (3304) e13 = e10
% 35.30/9.26 |
% 35.30/9.26 | Combining equations (3304,3228) yields a new equation:
% 35.30/9.26 | (3206) e11 = e10
% 35.30/9.26 |
% 35.30/9.26 | Equations (3206) can reduce 138 to:
% 35.30/9.26 | (401) $false
% 35.30/9.26 |
% 35.30/9.26 |-The branch is then unsatisfiable
% 35.30/9.26 |-Branch two:
% 35.30/9.26 | (3298) ~ (unit1 = e12)
% 35.30/9.26 | (3299) unit1 = e11 | unit1 = e10
% 35.30/9.26 |
% 35.30/9.26 +-Applying beta-rule and splitting (3299), into two cases.
% 35.30/9.26 |-Branch one:
% 35.30/9.26 | (3300) unit1 = e11
% 35.30/9.26 |
% 35.30/9.26 | From (3300) and (205) follows:
% 35.30/9.26 | (3301) op1(e11, e13) = e13
% 35.30/9.26 |
% 35.30/9.26 | From (3300) and (362) follows:
% 35.30/9.26 | (3484) op1(e11, e12) = e12
% 35.30/9.26 |
% 35.30/9.26 | From (3300) and (246) follows:
% 35.30/9.26 | (3485) op1(e11, e11) = e11
% 35.30/9.26 |
% 35.30/9.26 | Instantiating formula (291) with e11, e13, e13, e12 and discharging atoms op1(e11, e13) = e13, op1(e11, e13) = e12, yields:
% 35.30/9.26 | (3254) e13 = e12
% 35.30/9.26 |
% 35.30/9.26 | Instantiating formula (291) with e11, e12, e12, e10 and discharging atoms op1(e11, e12) = e12, op1(e11, e12) = e10, yields:
% 35.30/9.26 | (3288) e12 = e10
% 35.30/9.26 |
% 35.30/9.26 | Instantiating formula (291) with e11, e11, e11, e13 and discharging atoms op1(e11, e11) = e13, op1(e11, e11) = e11, yields:
% 35.30/9.26 | (3228) e13 = e11
% 35.30/9.26 |
% 35.30/9.26 | Combining equations (3228,3254) yields a new equation:
% 35.30/9.26 | (3222) e12 = e11
% 35.30/9.26 |
% 35.30/9.26 | Combining equations (3222,3288) yields a new equation:
% 35.30/9.26 | (3205) e11 = e10
% 35.30/9.26 |
% 35.30/9.26 | Simplifying 3205 yields:
% 35.30/9.26 | (3206) e11 = e10
% 35.30/9.26 |
% 35.30/9.26 | Equations (3206) can reduce 138 to:
% 35.30/9.26 | (401) $false
% 35.30/9.26 |
% 35.30/9.26 |-The branch is then unsatisfiable
% 35.30/9.26 |-Branch two:
% 35.30/9.26 | (3312) ~ (unit1 = e11)
% 35.30/9.26 | (3313) unit1 = e10
% 35.30/9.26 |
% 35.30/9.26 | Equations (3313) can reduce 3312 to:
% 35.30/9.26 | (3283) ~ (e11 = e10)
% 35.30/9.26 |
% 35.30/9.26 | Simplifying 3283 yields:
% 35.30/9.26 | (138) ~ (e11 = e10)
% 35.30/9.26 |
% 35.30/9.26 | From (3313) and (205) follows:
% 35.30/9.26 | (4273) op1(e10, e13) = e13
% 35.30/9.26 |
% 35.30/9.26 | From (3313) and (362) follows:
% 35.30/9.26 | (3497) op1(e10, e12) = e12
% 35.30/9.26 |
% 35.30/9.26 | From (3313) and (206) follows:
% 35.30/9.26 | (4078) op1(e13, e10) = e13
% 35.30/9.26 |
% 35.30/9.26 | Instantiating formula (291) with e13, e10, e13, e10 and discharging atoms op1(e13, e10) = e13, op1(e13, e10) = e10, yields:
% 35.30/9.26 | (3304) e13 = e10
% 35.30/9.26 |
% 35.30/9.26 | Instantiating formula (291) with e10, e13, e13, e11 and discharging atoms op1(e10, e13) = e13, op1(e10, e13) = e11, yields:
% 35.30/9.26 | (3228) e13 = e11
% 35.30/9.26 |
% 35.30/9.26 | Instantiating formula (291) with e10, e12, e12, e13 and discharging atoms op1(e10, e12) = e13, op1(e10, e12) = e12, yields:
% 35.30/9.26 | (3254) e13 = e12
% 35.30/9.26 |
% 35.30/9.26 | Combining equations (3304,3254) yields a new equation:
% 35.30/9.26 | (3288) e12 = e10
% 35.30/9.26 |
% 35.30/9.26 | Combining equations (3228,3254) yields a new equation:
% 35.30/9.26 | (3222) e12 = e11
% 35.30/9.26 |
% 35.30/9.26 | Combining equations (3222,3288) yields a new equation:
% 35.30/9.26 | (3205) e11 = e10
% 35.30/9.26 |
% 35.30/9.26 | Simplifying 3205 yields:
% 35.30/9.26 | (3206) e11 = e10
% 35.30/9.26 |
% 35.30/9.26 | Equations (3206) can reduce 138 to:
% 35.30/9.26 | (401) $false
% 35.30/9.26 |
% 35.30/9.26 |-The branch is then unsatisfiable
% 35.30/9.26 |-Branch two:
% 35.30/9.26 | (3352) ~ (all_0_113_113 = e12)
% 35.30/9.26 | (3962) all_0_113_113 = e11 | all_0_113_113 = e10
% 35.30/9.26 |
% 35.30/9.26 +-Applying beta-rule and splitting (111), into two cases.
% 35.30/9.26 |-Branch one:
% 35.30/9.26 | (3349) all_0_113_113 = e12
% 35.30/9.26 |
% 35.30/9.26 | Equations (3349) can reduce 3352 to:
% 35.30/9.26 | (401) $false
% 35.30/9.26 |
% 35.30/9.26 |-The branch is then unsatisfiable
% 35.30/9.26 |-Branch two:
% 35.30/9.26 | (3352) ~ (all_0_113_113 = e12)
% 35.30/9.26 | (4015) all_0_117_117 = e12 | all_0_121_121 = e12
% 35.30/9.26 |
% 35.30/9.26 +-Applying beta-rule and splitting (3962), into two cases.
% 35.30/9.26 |-Branch one:
% 35.30/9.26 | (3240) all_0_113_113 = e11
% 35.30/9.26 |
% 35.30/9.26 | Equations (3240) can reduce 3244 to:
% 35.30/9.26 | (401) $false
% 35.30/9.26 |
% 35.30/9.26 |-The branch is then unsatisfiable
% 35.30/9.26 |-Branch two:
% 35.30/9.26 | (3244) ~ (all_0_113_113 = e11)
% 35.30/9.27 | (3210) all_0_113_113 = e10
% 35.30/9.27 |
% 35.30/9.27 | Equations (3210) can reduce 25 to:
% 35.30/9.27 | (4201) ~ (all_0_114_114 = e10)
% 35.30/9.27 |
% 35.30/9.27 | Simplifying 4201 yields:
% 35.30/9.27 | (3391) ~ (all_0_114_114 = e10)
% 35.30/9.27 |
% 35.30/9.27 | From (3210) and (148) follows:
% 35.30/9.27 | (3213) op1(e13, e11) = e10
% 35.30/9.27 |
% 35.30/9.27 +-Applying beta-rule and splitting (270), into two cases.
% 35.30/9.27 |-Branch one:
% 35.30/9.27 | (3214) all_0_112_112 = e12
% 35.30/9.27 |
% 35.30/9.27 | Combining equations (3214,3220) yields a new equation:
% 35.30/9.27 | (3221) e12 = e11
% 35.30/9.27 |
% 35.30/9.27 | Simplifying 3221 yields:
% 35.30/9.27 | (3222) e12 = e11
% 35.30/9.27 |
% 35.30/9.27 | Equations (3222) can reduce 208 to:
% 35.30/9.27 | (401) $false
% 35.30/9.27 |
% 35.30/9.27 |-The branch is then unsatisfiable
% 35.30/9.27 |-Branch two:
% 35.30/9.27 | (3347) ~ (all_0_112_112 = e12)
% 35.30/9.27 | (3348) all_0_113_113 = e12 | all_0_114_114 = e12
% 35.30/9.27 |
% 35.30/9.27 | Equations (3220) can reduce 3347 to:
% 35.30/9.27 | (3236) ~ (e12 = e11)
% 35.30/9.27 |
% 35.30/9.27 | Simplifying 3236 yields:
% 35.30/9.27 | (208) ~ (e12 = e11)
% 35.30/9.27 |
% 35.30/9.27 +-Applying beta-rule and splitting (4015), into two cases.
% 35.30/9.27 |-Branch one:
% 35.30/9.27 | (3258) all_0_117_117 = e12
% 35.30/9.27 |
% 35.30/9.27 | Combining equations (3246,3258) yields a new equation:
% 35.30/9.27 | (3222) e12 = e11
% 35.30/9.27 |
% 35.30/9.27 | Equations (3222) can reduce 208 to:
% 35.30/9.27 | (401) $false
% 35.30/9.27 |
% 35.30/9.27 |-The branch is then unsatisfiable
% 35.30/9.27 |-Branch two:
% 35.30/9.27 | (3262) ~ (all_0_117_117 = e12)
% 35.30/9.27 | (3267) all_0_121_121 = e12
% 35.30/9.27 |
% 35.30/9.27 | Equations (3267) can reduce 297 to:
% 35.30/9.27 | (3264) ~ (all_0_122_122 = e12)
% 35.30/9.27 |
% 35.30/9.27 | Simplifying 3264 yields:
% 35.30/9.27 | (3265) ~ (all_0_122_122 = e12)
% 35.30/9.27 |
% 35.30/9.27 +-Applying beta-rule and splitting (85), into two cases.
% 35.30/9.27 |-Branch one:
% 35.30/9.27 | (3358) all_0_114_114 = e10
% 35.30/9.27 |
% 35.30/9.27 | Equations (3358) can reduce 3391 to:
% 35.30/9.27 | (401) $false
% 35.30/9.27 |
% 35.30/9.27 |-The branch is then unsatisfiable
% 35.30/9.27 |-Branch two:
% 35.30/9.27 | (3391) ~ (all_0_114_114 = e10)
% 35.30/9.27 | (3392) all_0_118_118 = e10 | all_0_122_122 = e10
% 35.30/9.27 |
% 35.30/9.27 +-Applying beta-rule and splitting (357), into two cases.
% 35.30/9.27 |-Branch one:
% 35.30/9.27 | (3353) all_0_114_114 = e12
% 35.30/9.27 |
% 35.30/9.27 | Equations (3353) can reduce 55 to:
% 35.30/9.27 | (208) ~ (e12 = e11)
% 35.30/9.27 |
% 35.30/9.27 | Equations (3353) can reduce 3391 to:
% 35.30/9.27 | (159) ~ (e12 = e10)
% 35.30/9.27 |
% 35.30/9.27 +-Applying beta-rule and splitting (3415), into two cases.
% 35.30/9.27 |-Branch one:
% 35.30/9.27 | (3438) all_0_121_121 = e10
% 35.30/9.27 |
% 35.30/9.27 | Combining equations (3438,3267) yields a new equation:
% 35.30/9.27 | (3288) e12 = e10
% 35.30/9.27 |
% 35.30/9.27 | Equations (3288) can reduce 159 to:
% 35.30/9.27 | (401) $false
% 35.30/9.27 |
% 35.30/9.27 |-The branch is then unsatisfiable
% 35.30/9.27 |-Branch two:
% 35.30/9.27 | (3536) ~ (all_0_121_121 = e10)
% 35.30/9.27 | (3282) all_0_122_122 = e10
% 35.30/9.27 |
% 35.30/9.27 | Equations (3282) can reduce 147 to:
% 35.30/9.27 | (3283) ~ (e11 = e10)
% 35.30/9.27 |
% 35.30/9.27 | Simplifying 3283 yields:
% 35.30/9.27 | (138) ~ (e11 = e10)
% 35.30/9.27 |
% 35.30/9.27 +-Applying beta-rule and splitting (272), into two cases.
% 35.30/9.27 |-Branch one:
% 35.30/9.27 | (3285) unit1 = e13
% 35.30/9.27 |
% 35.30/9.27 | From (3285) and (136) follows:
% 35.30/9.27 | (3286) op1(e12, e13) = e12
% 35.30/9.27 |
% 35.30/9.27 | From (3285) and (246) follows:
% 35.30/9.27 | (3287) op1(e11, e13) = e11
% 35.30/9.27 |
% 35.30/9.27 | Instantiating formula (291) with e12, e13, e12, e10 and discharging atoms op1(e12, e13) = e12, op1(e12, e13) = e10, yields:
% 35.30/9.27 | (3288) e12 = e10
% 35.30/9.27 |
% 35.30/9.27 | Instantiating formula (291) with e11, e13, e11, e12 and discharging atoms op1(e11, e13) = e12, op1(e11, e13) = e11, yields:
% 35.30/9.27 | (3222) e12 = e11
% 35.30/9.27 |
% 35.30/9.27 | Combining equations (3288,3222) yields a new equation:
% 35.30/9.27 | (3206) e11 = e10
% 35.30/9.27 |
% 35.30/9.27 | Equations (3206) can reduce 138 to:
% 35.30/9.27 | (401) $false
% 35.30/9.27 |
% 35.30/9.27 |-The branch is then unsatisfiable
% 35.30/9.27 |-Branch two:
% 35.30/9.27 | (3292) ~ (unit1 = e13)
% 35.30/9.27 | (3293) unit1 = e12 | unit1 = e11 | unit1 = e10
% 35.30/9.27 |
% 35.30/9.27 +-Applying beta-rule and splitting (3293), into two cases.
% 35.30/9.27 |-Branch one:
% 35.30/9.27 | (3294) unit1 = e12
% 35.30/9.27 |
% 35.30/9.27 | From (3294) and (206) follows:
% 35.30/9.27 | (4470) op1(e13, e12) = e13
% 35.30/9.27 |
% 35.30/9.27 | From (3294) and (207) follows:
% 35.30/9.27 | (3295) op1(e10, e12) = e10
% 35.30/9.27 |
% 35.30/9.27 | Instantiating formula (291) with e13, e12, e13, e11 and discharging atoms op1(e13, e12) = e13, op1(e13, e12) = e11, yields:
% 35.30/9.27 | (3228) e13 = e11
% 35.30/9.27 |
% 35.30/9.27 | Instantiating formula (291) with e10, e12, e10, e13 and discharging atoms op1(e10, e12) = e13, op1(e10, e12) = e10, yields:
% 35.30/9.27 | (3304) e13 = e10
% 35.30/9.27 |
% 35.30/9.27 | Combining equations (3304,3228) yields a new equation:
% 35.30/9.27 | (3206) e11 = e10
% 35.30/9.27 |
% 35.30/9.27 | Equations (3206) can reduce 138 to:
% 35.30/9.27 | (401) $false
% 35.30/9.27 |
% 35.30/9.27 |-The branch is then unsatisfiable
% 35.30/9.27 |-Branch two:
% 35.30/9.27 | (3298) ~ (unit1 = e12)
% 35.30/9.27 | (3299) unit1 = e11 | unit1 = e10
% 35.30/9.27 |
% 35.30/9.27 +-Applying beta-rule and splitting (3299), into two cases.
% 35.30/9.27 |-Branch one:
% 35.30/9.27 | (3300) unit1 = e11
% 35.30/9.27 |
% 35.30/9.27 | From (3300) and (205) follows:
% 35.30/9.27 | (3301) op1(e11, e13) = e13
% 35.30/9.27 |
% 35.30/9.27 | From (3300) and (206) follows:
% 35.30/9.27 | (3302) op1(e13, e11) = e13
% 35.30/9.27 |
% 35.30/9.27 | From (3300) and (136) follows:
% 35.30/9.27 | (3303) op1(e12, e11) = e12
% 35.30/9.27 |
% 35.30/9.27 | Instantiating formula (291) with e13, e11, e13, e10 and discharging atoms op1(e13, e11) = e13, op1(e13, e11) = e10, yields:
% 35.30/9.27 | (3304) e13 = e10
% 35.30/9.27 |
% 35.30/9.27 | Instantiating formula (291) with e12, e11, e12, e11 and discharging atoms op1(e12, e11) = e12, op1(e12, e11) = e11, yields:
% 35.30/9.27 | (3222) e12 = e11
% 35.30/9.27 |
% 35.30/9.27 | Instantiating formula (291) with e11, e13, e13, e12 and discharging atoms op1(e11, e13) = e13, op1(e11, e13) = e12, yields:
% 35.30/9.27 | (3254) e13 = e12
% 35.30/9.27 |
% 35.30/9.27 | Combining equations (3254,3304) yields a new equation:
% 35.30/9.27 | (3307) e12 = e10
% 35.30/9.27 |
% 35.30/9.27 | Simplifying 3307 yields:
% 35.30/9.27 | (3288) e12 = e10
% 35.30/9.27 |
% 35.30/9.27 | Combining equations (3222,3288) yields a new equation:
% 35.30/9.28 | (3205) e11 = e10
% 35.30/9.28 |
% 35.30/9.28 | Simplifying 3205 yields:
% 35.30/9.28 | (3206) e11 = e10
% 35.30/9.28 |
% 35.30/9.28 | Equations (3206) can reduce 138 to:
% 35.30/9.28 | (401) $false
% 35.30/9.28 |
% 35.30/9.28 |-The branch is then unsatisfiable
% 35.30/9.28 |-Branch two:
% 35.30/9.28 | (3312) ~ (unit1 = e11)
% 35.30/9.28 | (3313) unit1 = e10
% 35.30/9.28 |
% 35.30/9.28 | From (3313) and (205) follows:
% 35.30/9.28 | (4273) op1(e10, e13) = e13
% 35.30/9.28 |
% 35.30/9.28 | From (3313) and (362) follows:
% 35.30/9.28 | (3497) op1(e10, e12) = e12
% 35.30/9.28 |
% 35.30/9.28 | Instantiating formula (291) with e10, e13, e13, e11 and discharging atoms op1(e10, e13) = e13, op1(e10, e13) = e11, yields:
% 35.30/9.28 | (3228) e13 = e11
% 35.30/9.28 |
% 35.30/9.28 | Instantiating formula (291) with e10, e12, e12, e13 and discharging atoms op1(e10, e12) = e13, op1(e10, e12) = e12, yields:
% 35.30/9.28 | (3254) e13 = e12
% 35.30/9.28 |
% 35.30/9.28 | Combining equations (3254,3228) yields a new equation:
% 35.30/9.28 | (3221) e12 = e11
% 35.30/9.28 |
% 35.30/9.28 | Simplifying 3221 yields:
% 35.30/9.28 | (3222) e12 = e11
% 35.30/9.28 |
% 35.30/9.28 | Equations (3222) can reduce 208 to:
% 35.30/9.28 | (401) $false
% 35.30/9.28 |
% 35.30/9.28 |-The branch is then unsatisfiable
% 35.30/9.28 |-Branch two:
% 35.30/9.28 | (3448) ~ (all_0_114_114 = e12)
% 35.30/9.28 | (3449) all_0_118_118 = e12 | all_0_122_122 = e12
% 35.30/9.28 |
% 35.30/9.28 +-Applying beta-rule and splitting (3198), into two cases.
% 35.30/9.28 |-Branch one:
% 35.30/9.28 | (3279) all_0_122_122 = e12
% 35.30/9.28 |
% 35.30/9.28 | Equations (3279) can reduce 3265 to:
% 35.30/9.28 | (401) $false
% 35.30/9.28 |
% 35.30/9.28 |-The branch is then unsatisfiable
% 35.30/9.28 |-Branch two:
% 35.30/9.28 | (3265) ~ (all_0_122_122 = e12)
% 35.30/9.28 | (3282) all_0_122_122 = e10
% 35.30/9.28 |
% 35.30/9.28 | Equations (3282) can reduce 3265 to:
% 35.30/9.28 | (3459) ~ (e12 = e10)
% 35.30/9.28 |
% 35.30/9.28 | Simplifying 3459 yields:
% 35.30/9.28 | (159) ~ (e12 = e10)
% 35.30/9.28 |
% 35.30/9.28 +-Applying beta-rule and splitting (3348), into two cases.
% 35.30/9.28 |-Branch one:
% 35.30/9.28 | (3349) all_0_113_113 = e12
% 35.30/9.28 |
% 35.30/9.28 | Combining equations (3210,3349) yields a new equation:
% 35.30/9.28 | (3288) e12 = e10
% 35.30/9.28 |
% 35.30/9.28 | Equations (3288) can reduce 159 to:
% 35.30/9.28 | (401) $false
% 35.30/9.28 |
% 35.30/9.28 |-The branch is then unsatisfiable
% 35.30/9.28 |-Branch two:
% 35.30/9.28 | (3352) ~ (all_0_113_113 = e12)
% 35.30/9.28 | (3353) all_0_114_114 = e12
% 35.30/9.28 |
% 35.30/9.28 | Equations (3353) can reduce 3448 to:
% 35.30/9.28 | (401) $false
% 35.30/9.28 |
% 35.30/9.28 |-The branch is then unsatisfiable
% 35.30/9.28 |-Branch two:
% 35.30/9.28 | (3201) ~ (all_0_112_112 = e11)
% 35.30/9.28 | (3225) all_0_116_116 = e11 | all_0_120_120 = e11
% 35.30/9.28 |
% 35.30/9.28 +-Applying beta-rule and splitting (174), into two cases.
% 35.30/9.28 |-Branch one:
% 35.30/9.28 | (3199) all_0_111_111 = e11
% 35.30/9.28 |
% 35.30/9.28 | Combining equations (3199,3162) yields a new equation:
% 35.30/9.28 | (3228) e13 = e11
% 35.30/9.28 |
% 35.30/9.28 | Equations (3228) can reduce 34 to:
% 35.30/9.28 | (401) $false
% 35.30/9.28 |
% 35.30/9.28 |-The branch is then unsatisfiable
% 35.30/9.28 |-Branch two:
% 35.30/9.28 | (3362) ~ (all_0_111_111 = e11)
% 35.30/9.28 | (3399) all_0_112_112 = e11 | all_0_113_113 = e11
% 35.30/9.28 |
% 35.30/9.28 | Equations (3162) can reduce 3362 to:
% 35.30/9.28 | (34) ~ (e13 = e11)
% 35.30/9.28 |
% 35.30/9.28 +-Applying beta-rule and splitting (3225), into two cases.
% 35.30/9.28 |-Branch one:
% 35.30/9.28 | (3226) all_0_116_116 = e11
% 35.30/9.28 |
% 35.30/9.28 | Combining equations (3253,3226) yields a new equation:
% 35.30/9.28 | (3221) e12 = e11
% 35.30/9.28 |
% 35.30/9.28 | Simplifying 3221 yields:
% 35.30/9.28 | (3222) e12 = e11
% 35.30/9.28 |
% 35.30/9.28 | Equations (3222) can reduce 208 to:
% 35.30/9.28 | (401) $false
% 35.30/9.28 |
% 35.30/9.28 |-The branch is then unsatisfiable
% 35.30/9.28 |-Branch two:
% 35.30/9.28 | (3230) ~ (all_0_116_116 = e11)
% 35.30/9.28 | (3231) all_0_120_120 = e11
% 35.30/9.28 |
% 35.30/9.28 | Combining equations (3231,3183) yields a new equation:
% 35.30/9.28 | (3228) e13 = e11
% 35.30/9.28 |
% 35.30/9.28 | Equations (3228) can reduce 34 to:
% 35.30/9.28 | (401) $false
% 35.30/9.28 |
% 35.30/9.28 |-The branch is then unsatisfiable
% 35.30/9.28 |-Branch two:
% 35.30/9.28 | (3256) ~ (all_0_116_116 = e12)
% 35.30/9.28 | (3257) all_0_117_117 = e12 | all_0_118_118 = e12
% 35.30/9.28 |
% 35.30/9.28 +-Applying beta-rule and splitting (3257), into two cases.
% 35.30/9.28 |-Branch one:
% 35.30/9.28 | (3258) all_0_117_117 = e12
% 35.30/9.28 |
% 35.30/9.28 | Combining equations (3246,3258) yields a new equation:
% 35.30/9.28 | (3222) e12 = e11
% 35.30/9.28 |
% 35.30/9.28 | Equations (3222) can reduce 208 to:
% 35.30/9.28 | (401) $false
% 35.30/9.28 |
% 35.30/9.28 |-The branch is then unsatisfiable
% 35.30/9.28 |-Branch two:
% 35.30/9.28 | (3262) ~ (all_0_117_117 = e12)
% 35.30/9.28 | (3263) all_0_118_118 = e12
% 35.30/9.28 |
% 35.30/9.29 | Combining equations (3801,3263) yields a new equation:
% 35.30/9.29 | (3354) e13 = e12
% 35.30/9.29 |
% 35.30/9.29 | Simplifying 3354 yields:
% 35.30/9.29 | (3254) e13 = e12
% 35.30/9.29 |
% 35.30/9.29 | Equations (3254) can reduce 76 to:
% 35.30/9.29 | (401) $false
% 35.30/9.29 |
% 35.30/9.29 |-The branch is then unsatisfiable
% 35.30/9.29 |-Branch two:
% 35.30/9.29 | (3344) ~ (all_0_117_117 = e11)
% 35.30/9.29 | (3345) all_0_121_121 = e11
% 35.30/9.29 |
% 35.30/9.29 | Equations (3345) can reduce 3233 to:
% 35.30/9.29 | (401) $false
% 35.30/9.29 |
% 35.30/9.29 |-The branch is then unsatisfiable
% 35.30/9.29 |-Branch two:
% 35.30/9.29 | (3408) ~ (all_0_119_119 = e11)
% 35.30/9.29 | (3409) all_0_120_120 = e11 | all_0_121_121 = e11
% 35.30/9.29 |
% 35.30/9.29 +-Applying beta-rule and splitting (185), into two cases.
% 35.30/9.29 |-Branch one:
% 35.30/9.29 | (3199) all_0_111_111 = e11
% 35.30/9.29 |
% 35.30/9.29 | Combining equations (3199,3162) yields a new equation:
% 35.30/9.29 | (3228) e13 = e11
% 35.30/9.29 |
% 35.30/9.29 | Equations (3228) can reduce 34 to:
% 35.30/9.29 | (401) $false
% 35.30/9.29 |
% 35.30/9.29 |-The branch is then unsatisfiable
% 35.30/9.29 |-Branch two:
% 35.30/9.29 | (3362) ~ (all_0_111_111 = e11)
% 35.30/9.29 | (3363) all_0_115_115 = e11 | all_0_119_119 = e11
% 35.30/9.29 |
% 35.30/9.29 +-Applying beta-rule and splitting (3363), into two cases.
% 35.30/9.29 |-Branch one:
% 35.30/9.29 | (3364) all_0_115_115 = e11
% 35.30/9.29 |
% 35.30/9.29 | Equations (3364) can reduce 267 to:
% 35.30/9.29 | (4753) ~ (all_0_116_116 = e11)
% 35.30/9.29 |
% 35.30/9.29 | Simplifying 4753 yields:
% 35.30/9.29 | (3230) ~ (all_0_116_116 = e11)
% 35.30/9.29 |
% 35.30/9.29 | Equations (3364) can reduce 3141 to:
% 35.30/9.29 | (3202) ~ (e13 = e11)
% 35.30/9.29 |
% 35.30/9.29 | Simplifying 3202 yields:
% 35.30/9.29 | (34) ~ (e13 = e11)
% 35.30/9.29 |
% 35.30/9.29 | From (3364) and (301) follows:
% 35.30/9.29 | (3372) op1(e12, e13) = e11
% 35.30/9.29 |
% 35.30/9.29 +-Applying beta-rule and splitting (3779), into two cases.
% 35.30/9.29 |-Branch one:
% 35.30/9.29 | (3253) all_0_116_116 = e12
% 35.30/9.29 |
% 35.30/9.29 | Equations (3253) can reduce 187 to:
% 35.30/9.29 | (3347) ~ (all_0_112_112 = e12)
% 35.30/9.29 |
% 35.30/9.29 | Equations (3253) can reduce 95 to:
% 35.30/9.29 | (3995) ~ (all_0_117_117 = e12)
% 35.30/9.29 |
% 35.30/9.29 | Simplifying 3995 yields:
% 35.30/9.29 | (3262) ~ (all_0_117_117 = e12)
% 35.30/9.29 |
% 35.30/9.29 +-Applying beta-rule and splitting (3409), into two cases.
% 35.30/9.29 |-Branch one:
% 35.30/9.29 | (3231) all_0_120_120 = e11
% 35.30/9.29 |
% 35.30/9.29 | Combining equations (3231,3183) yields a new equation:
% 35.30/9.29 | (3228) e13 = e11
% 35.30/9.29 |
% 35.30/9.29 | Equations (3228) can reduce 34 to:
% 35.30/9.29 | (401) $false
% 35.30/9.29 |
% 35.30/9.29 |-The branch is then unsatisfiable
% 35.30/9.29 |-Branch two:
% 35.30/9.29 | (3663) ~ (all_0_120_120 = e11)
% 35.30/9.29 | (3345) all_0_121_121 = e11
% 35.30/9.29 |
% 35.30/9.29 | Equations (3345) can reduce 139 to:
% 35.30/9.29 | (3244) ~ (all_0_113_113 = e11)
% 35.30/9.29 |
% 35.30/9.29 | Equations (3345) can reduce 126 to:
% 35.30/9.29 | (3344) ~ (all_0_117_117 = e11)
% 35.30/9.29 |
% 35.30/9.29 | Equations (3345) can reduce 173 to:
% 35.30/9.29 | (3408) ~ (all_0_119_119 = e11)
% 35.30/9.29 |
% 35.30/9.29 | Equations (3345) can reduce 297 to:
% 35.30/9.29 | (3234) ~ (all_0_122_122 = e11)
% 35.30/9.29 |
% 35.30/9.29 | Simplifying 3234 yields:
% 35.30/9.29 | (147) ~ (all_0_122_122 = e11)
% 35.30/9.29 |
% 35.30/9.29 | Equations (3345) can reduce 204 to:
% 35.30/9.29 | (3202) ~ (e13 = e11)
% 35.30/9.29 |
% 35.30/9.29 | Simplifying 3202 yields:
% 35.30/9.29 | (34) ~ (e13 = e11)
% 35.30/9.29 |
% 35.30/9.29 +-Applying beta-rule and splitting (57), into two cases.
% 35.30/9.29 |-Branch one:
% 35.30/9.29 | (3277) all_0_115_115 = e10
% 35.30/9.29 |
% 35.30/9.29 | Combining equations (3277,3364) yields a new equation:
% 35.30/9.29 | (3206) e11 = e10
% 35.30/9.29 |
% 35.30/9.29 | Equations (3206) can reduce 138 to:
% 35.30/9.29 | (401) $false
% 35.30/9.29 |
% 35.30/9.29 |-The branch is then unsatisfiable
% 35.30/9.29 |-Branch two:
% 35.30/9.29 | (3317) ~ (all_0_115_115 = e10)
% 35.30/9.29 | (3318) all_0_117_117 = e10 | all_0_118_118 = e10
% 35.30/9.29 |
% 35.30/9.29 +-Applying beta-rule and splitting (111), into two cases.
% 35.30/9.29 |-Branch one:
% 35.30/9.29 | (3349) all_0_113_113 = e12
% 35.30/9.29 |
% 35.30/9.29 | Equations (3349) can reduce 248 to:
% 35.30/9.29 | (3347) ~ (all_0_112_112 = e12)
% 35.30/9.29 |
% 35.30/9.29 | Equations (3349) can reduce 252 to:
% 35.30/9.29 | (3995) ~ (all_0_117_117 = e12)
% 35.30/9.29 |
% 35.30/9.29 | Simplifying 3995 yields:
% 35.30/9.29 | (3262) ~ (all_0_117_117 = e12)
% 35.30/9.29 |
% 35.30/9.29 | Equations (3349) can reduce 177 to:
% 35.30/9.29 | (3217) ~ (e13 = e12)
% 35.30/9.29 |
% 35.30/9.29 | Simplifying 3217 yields:
% 35.30/9.29 | (76) ~ (e13 = e12)
% 35.30/9.29 |
% 35.30/9.29 | Equations (3349) can reduce 3244 to:
% 35.30/9.29 | (208) ~ (e12 = e11)
% 35.30/9.29 |
% 35.30/9.29 +-Applying beta-rule and splitting (174), into two cases.
% 35.30/9.29 |-Branch one:
% 35.30/9.29 | (3199) all_0_111_111 = e11
% 35.30/9.29 |
% 35.30/9.29 | Combining equations (3199,3162) yields a new equation:
% 35.30/9.29 | (3228) e13 = e11
% 35.30/9.29 |
% 35.30/9.29 | Equations (3228) can reduce 34 to:
% 35.30/9.29 | (401) $false
% 35.30/9.29 |
% 35.30/9.29 |-The branch is then unsatisfiable
% 35.30/9.29 |-Branch two:
% 35.30/9.29 | (3362) ~ (all_0_111_111 = e11)
% 35.30/9.29 | (3399) all_0_112_112 = e11 | all_0_113_113 = e11
% 35.30/9.29 |
% 35.30/9.29 | Equations (3162) can reduce 3362 to:
% 35.30/9.29 | (34) ~ (e13 = e11)
% 35.30/9.29 |
% 35.30/9.29 +-Applying beta-rule and splitting (282), into two cases.
% 35.30/9.29 |-Branch one:
% 35.30/9.29 | (3220) all_0_112_112 = e11
% 35.30/9.29 |
% 35.30/9.29 | Equations (3220) can reduce 3347 to:
% 35.30/9.29 | (3236) ~ (e12 = e11)
% 35.30/9.29 |
% 35.30/9.29 | Simplifying 3236 yields:
% 35.30/9.29 | (208) ~ (e12 = e11)
% 35.30/9.29 |
% 35.30/9.29 +-Applying beta-rule and splitting (325), into two cases.
% 35.30/9.29 |-Branch one:
% 35.30/9.29 | (3334) all_0_120_120 = e12
% 35.30/9.29 |
% 35.30/9.29 | Combining equations (3183,3334) yields a new equation:
% 35.30/9.29 | (3354) e13 = e12
% 35.30/9.29 |
% 35.30/9.30 | Simplifying 3354 yields:
% 35.30/9.30 | (3254) e13 = e12
% 35.30/9.30 |
% 35.30/9.30 | Equations (3254) can reduce 76 to:
% 35.30/9.30 | (401) $false
% 35.30/9.30 |
% 35.30/9.30 |-The branch is then unsatisfiable
% 35.30/9.30 |-Branch two:
% 35.30/9.30 | (3216) ~ (all_0_120_120 = e12)
% 35.30/9.30 | (3338) all_0_121_121 = e12 | all_0_122_122 = e12
% 35.30/9.30 |
% 35.30/9.30 +-Applying beta-rule and splitting (316), into two cases.
% 35.30/9.30 |-Branch one:
% 35.30/9.30 | (3258) all_0_117_117 = e12
% 35.30/9.30 |
% 35.30/9.30 | Equations (3258) can reduce 3262 to:
% 35.30/9.30 | (401) $false
% 35.30/9.30 |
% 35.30/9.30 |-The branch is then unsatisfiable
% 35.30/9.30 |-Branch two:
% 35.30/9.30 | (3262) ~ (all_0_117_117 = e12)
% 35.30/9.30 | (3530) all_0_117_117 = e11 | all_0_117_117 = e10
% 35.30/9.30 |
% 35.30/9.30 +-Applying beta-rule and splitting (319), into two cases.
% 35.30/9.30 |-Branch one:
% 35.30/9.30 | (3328) all_0_119_119 = e10
% 35.30/9.30 |
% 35.30/9.30 | From (3328) and (315) follows:
% 35.30/9.30 | (4455) op1(e10, e13) = e10
% 35.30/9.30 |
% 35.30/9.30 +-Applying beta-rule and splitting (3338), into two cases.
% 35.30/9.30 |-Branch one:
% 35.30/9.30 | (3267) all_0_121_121 = e12
% 35.30/9.30 |
% 35.30/9.30 | Combining equations (3267,3345) yields a new equation:
% 35.30/9.30 | (3221) e12 = e11
% 35.30/9.30 |
% 35.30/9.30 | Simplifying 3221 yields:
% 35.30/9.30 | (3222) e12 = e11
% 35.30/9.30 |
% 35.30/9.30 | Equations (3222) can reduce 208 to:
% 35.30/9.30 | (401) $false
% 35.30/9.30 |
% 35.30/9.30 |-The branch is then unsatisfiable
% 35.30/9.30 |-Branch two:
% 35.30/9.30 | (3332) ~ (all_0_121_121 = e12)
% 35.30/9.30 | (3279) all_0_122_122 = e12
% 35.30/9.30 |
% 35.30/9.30 | Equations (3279) can reduce 147 to:
% 35.30/9.30 | (208) ~ (e12 = e11)
% 35.30/9.30 |
% 35.30/9.30 +-Applying beta-rule and splitting (3530), into two cases.
% 35.30/9.30 |-Branch one:
% 35.30/9.30 | (3246) all_0_117_117 = e11
% 35.30/9.30 |
% 35.30/9.30 | Equations (3246) can reduce 3344 to:
% 35.30/9.30 | (401) $false
% 35.30/9.30 |
% 35.30/9.30 |-The branch is then unsatisfiable
% 35.30/9.30 |-Branch two:
% 35.30/9.30 | (3344) ~ (all_0_117_117 = e11)
% 35.30/9.30 | (3433) all_0_117_117 = e10
% 35.30/9.30 |
% 35.30/9.30 | Equations (3433) can reduce 3344 to:
% 35.30/9.30 | (3283) ~ (e11 = e10)
% 35.30/9.30 |
% 35.30/9.30 | Simplifying 3283 yields:
% 35.30/9.30 | (138) ~ (e11 = e10)
% 35.30/9.30 |
% 35.30/9.30 +-Applying beta-rule and splitting (272), into two cases.
% 35.30/9.30 |-Branch one:
% 35.30/9.30 | (3285) unit1 = e13
% 35.30/9.30 |
% 35.30/9.30 | From (3285) and (246) follows:
% 35.30/9.30 | (3287) op1(e11, e13) = e11
% 35.30/9.30 |
% 35.30/9.30 | Instantiating formula (291) with e11, e13, e11, e12 and discharging atoms op1(e11, e13) = e12, op1(e11, e13) = e11, yields:
% 35.30/9.30 | (3222) e12 = e11
% 35.30/9.30 |
% 35.30/9.30 | Equations (3222) can reduce 208 to:
% 35.30/9.30 | (401) $false
% 35.30/9.30 |
% 35.30/9.30 |-The branch is then unsatisfiable
% 35.30/9.30 |-Branch two:
% 35.30/9.30 | (3292) ~ (unit1 = e13)
% 35.30/9.30 | (3293) unit1 = e12 | unit1 = e11 | unit1 = e10
% 35.30/9.30 |
% 35.30/9.30 +-Applying beta-rule and splitting (3293), into two cases.
% 35.30/9.30 |-Branch one:
% 35.30/9.30 | (3294) unit1 = e12
% 35.30/9.30 |
% 35.30/9.30 | From (3294) and (205) follows:
% 35.30/9.30 | (3599) op1(e12, e13) = e13
% 35.30/9.30 |
% 35.30/9.30 | From (3294) and (207) follows:
% 35.30/9.30 | (3295) op1(e10, e12) = e10
% 35.30/9.30 |
% 35.30/9.30 | Instantiating formula (291) with e12, e13, e13, e11 and discharging atoms op1(e12, e13) = e13, op1(e12, e13) = e11, yields:
% 35.30/9.30 | (3228) e13 = e11
% 35.30/9.30 |
% 35.30/9.30 | Instantiating formula (291) with e10, e12, e10, e13 and discharging atoms op1(e10, e12) = e13, op1(e10, e12) = e10, yields:
% 35.30/9.30 | (3304) e13 = e10
% 35.30/9.30 |
% 35.30/9.30 | Combining equations (3304,3228) yields a new equation:
% 35.30/9.30 | (3206) e11 = e10
% 35.30/9.30 |
% 35.30/9.30 | Equations (3206) can reduce 138 to:
% 35.30/9.30 | (401) $false
% 35.30/9.30 |
% 35.30/9.30 |-The branch is then unsatisfiable
% 35.30/9.30 |-Branch two:
% 35.30/9.30 | (3298) ~ (unit1 = e12)
% 35.30/9.30 | (3299) unit1 = e11 | unit1 = e10
% 35.30/9.30 |
% 35.30/9.30 +-Applying beta-rule and splitting (3299), into two cases.
% 35.30/9.30 |-Branch one:
% 35.30/9.30 | (3300) unit1 = e11
% 35.30/9.30 |
% 35.30/9.30 | From (3300) and (205) follows:
% 35.30/9.30 | (3301) op1(e11, e13) = e13
% 35.30/9.30 |
% 35.30/9.30 | From (3300) and (362) follows:
% 35.30/9.30 | (3484) op1(e11, e12) = e12
% 35.30/9.30 |
% 35.30/9.30 | From (3300) and (246) follows:
% 35.30/9.30 | (3485) op1(e11, e11) = e11
% 35.30/9.30 |
% 35.30/9.30 | Instantiating formula (291) with e11, e13, e13, e12 and discharging atoms op1(e11, e13) = e13, op1(e11, e13) = e12, yields:
% 35.30/9.30 | (3254) e13 = e12
% 35.30/9.30 |
% 35.30/9.30 | Instantiating formula (291) with e11, e12, e12, e10 and discharging atoms op1(e11, e12) = e12, op1(e11, e12) = e10, yields:
% 35.30/9.30 | (3288) e12 = e10
% 35.30/9.30 |
% 35.30/9.30 | Instantiating formula (291) with e11, e11, e11, e13 and discharging atoms op1(e11, e11) = e13, op1(e11, e11) = e11, yields:
% 35.30/9.30 | (3228) e13 = e11
% 35.30/9.30 |
% 35.30/9.30 | Combining equations (3228,3254) yields a new equation:
% 35.30/9.30 | (3222) e12 = e11
% 35.30/9.30 |
% 35.30/9.30 | Combining equations (3222,3288) yields a new equation:
% 35.30/9.30 | (3205) e11 = e10
% 35.30/9.30 |
% 35.30/9.30 | Simplifying 3205 yields:
% 35.30/9.30 | (3206) e11 = e10
% 35.30/9.30 |
% 35.30/9.30 | Equations (3206) can reduce 138 to:
% 35.30/9.30 | (401) $false
% 35.30/9.30 |
% 35.30/9.30 |-The branch is then unsatisfiable
% 35.30/9.30 |-Branch two:
% 35.30/9.30 | (3312) ~ (unit1 = e11)
% 35.30/9.30 | (3313) unit1 = e10
% 35.30/9.30 |
% 35.30/9.30 | Equations (3313) can reduce 3298 to:
% 35.30/9.30 | (3459) ~ (e12 = e10)
% 35.30/9.30 |
% 35.30/9.30 | Simplifying 3459 yields:
% 35.30/9.30 | (159) ~ (e12 = e10)
% 35.30/9.30 |
% 35.30/9.30 | From (3313) and (205) follows:
% 35.30/9.30 | (4273) op1(e10, e13) = e13
% 35.30/9.30 |
% 35.30/9.30 | From (3313) and (362) follows:
% 35.30/9.30 | (3497) op1(e10, e12) = e12
% 35.30/9.30 |
% 35.30/9.30 | Instantiating formula (291) with e10, e13, e13, e10 and discharging atoms op1(e10, e13) = e13, op1(e10, e13) = e10, yields:
% 35.30/9.30 | (3304) e13 = e10
% 35.30/9.30 |
% 35.30/9.30 | Instantiating formula (291) with e10, e12, e12, e13 and discharging atoms op1(e10, e12) = e13, op1(e10, e12) = e12, yields:
% 35.30/9.30 | (3254) e13 = e12
% 35.30/9.30 |
% 35.30/9.30 | Combining equations (3304,3254) yields a new equation:
% 35.30/9.30 | (3288) e12 = e10
% 35.30/9.30 |
% 35.30/9.30 | Equations (3288) can reduce 159 to:
% 35.30/9.30 | (401) $false
% 35.30/9.30 |
% 35.30/9.30 |-The branch is then unsatisfiable
% 35.30/9.31 |-Branch two:
% 35.30/9.31 | (3414) ~ (all_0_119_119 = e10)
% 35.30/9.31 | (3415) all_0_121_121 = e10 | all_0_122_122 = e10
% 35.30/9.31 |
% 35.30/9.31 +-Applying beta-rule and splitting (3815), into two cases.
% 35.30/9.31 |-Branch one:
% 35.30/9.31 | (3404) all_0_119_119 = e11
% 35.30/9.31 |
% 35.30/9.31 | Equations (3404) can reduce 3408 to:
% 35.30/9.31 | (401) $false
% 35.30/9.31 |
% 35.30/9.31 |-The branch is then unsatisfiable
% 35.30/9.31 |-Branch two:
% 35.30/9.31 | (3408) ~ (all_0_119_119 = e11)
% 35.30/9.31 | (3328) all_0_119_119 = e10
% 35.30/9.31 |
% 35.30/9.31 | Equations (3328) can reduce 3414 to:
% 35.30/9.31 | (401) $false
% 35.30/9.31 |
% 35.30/9.31 |-The branch is then unsatisfiable
% 35.30/9.31 |-Branch two:
% 35.30/9.31 | (3201) ~ (all_0_112_112 = e11)
% 35.30/9.31 | (3225) all_0_116_116 = e11 | all_0_120_120 = e11
% 35.30/9.31 |
% 35.30/9.31 +-Applying beta-rule and splitting (3225), into two cases.
% 35.30/9.31 |-Branch one:
% 35.30/9.31 | (3226) all_0_116_116 = e11
% 35.30/9.31 |
% 35.30/9.31 | Combining equations (3253,3226) yields a new equation:
% 35.30/9.31 | (3221) e12 = e11
% 35.30/9.31 |
% 35.30/9.31 | Simplifying 3221 yields:
% 35.30/9.31 | (3222) e12 = e11
% 35.30/9.31 |
% 35.30/9.31 | Equations (3222) can reduce 208 to:
% 35.30/9.31 | (401) $false
% 35.30/9.31 |
% 35.30/9.31 |-The branch is then unsatisfiable
% 35.30/9.31 |-Branch two:
% 35.30/9.31 | (3230) ~ (all_0_116_116 = e11)
% 35.30/9.31 | (3231) all_0_120_120 = e11
% 35.30/9.31 |
% 35.30/9.31 | Combining equations (3183,3231) yields a new equation:
% 35.30/9.31 | (3227) e13 = e11
% 35.30/9.31 |
% 35.30/9.31 | Simplifying 3227 yields:
% 35.30/9.31 | (3228) e13 = e11
% 35.30/9.31 |
% 35.30/9.31 | Equations (3228) can reduce 34 to:
% 35.30/9.31 | (401) $false
% 35.30/9.31 |
% 35.30/9.31 |-The branch is then unsatisfiable
% 35.30/9.31 |-Branch two:
% 35.30/9.31 | (3352) ~ (all_0_113_113 = e12)
% 35.30/9.31 | (4015) all_0_117_117 = e12 | all_0_121_121 = e12
% 35.30/9.31 |
% 35.30/9.31 +-Applying beta-rule and splitting (270), into two cases.
% 35.30/9.31 |-Branch one:
% 35.30/9.31 | (3214) all_0_112_112 = e12
% 35.30/9.31 |
% 35.30/9.31 | Equations (3214) can reduce 3347 to:
% 35.30/9.31 | (401) $false
% 35.30/9.31 |
% 35.30/9.31 |-The branch is then unsatisfiable
% 35.30/9.31 |-Branch two:
% 35.30/9.31 | (3347) ~ (all_0_112_112 = e12)
% 35.30/9.31 | (3348) all_0_113_113 = e12 | all_0_114_114 = e12
% 35.30/9.31 |
% 35.30/9.31 +-Applying beta-rule and splitting (3318), into two cases.
% 35.30/9.31 |-Branch one:
% 35.30/9.31 | (3433) all_0_117_117 = e10
% 35.30/9.31 |
% 35.30/9.31 | Equations (3433) can reduce 3262 to:
% 35.30/9.31 | (3459) ~ (e12 = e10)
% 35.30/9.31 |
% 35.30/9.31 | Simplifying 3459 yields:
% 35.30/9.31 | (159) ~ (e12 = e10)
% 35.30/9.31 |
% 35.30/9.31 +-Applying beta-rule and splitting (282), into two cases.
% 35.30/9.31 |-Branch one:
% 35.30/9.31 | (3220) all_0_112_112 = e11
% 35.30/9.31 |
% 35.30/9.31 | Equations (3220) can reduce 3347 to:
% 35.30/9.31 | (3236) ~ (e12 = e11)
% 35.30/9.31 |
% 35.30/9.31 | Simplifying 3236 yields:
% 35.30/9.31 | (208) ~ (e12 = e11)
% 35.30/9.31 |
% 35.30/9.31 +-Applying beta-rule and splitting (4015), into two cases.
% 35.30/9.31 |-Branch one:
% 35.30/9.31 | (3258) all_0_117_117 = e12
% 35.30/9.31 |
% 35.30/9.31 | Combining equations (3433,3258) yields a new equation:
% 35.30/9.31 | (3288) e12 = e10
% 35.30/9.31 |
% 35.30/9.31 | Equations (3288) can reduce 159 to:
% 35.30/9.31 | (401) $false
% 35.30/9.31 |
% 35.30/9.31 |-The branch is then unsatisfiable
% 35.30/9.31 |-Branch two:
% 35.30/9.31 | (3262) ~ (all_0_117_117 = e12)
% 35.30/9.31 | (3267) all_0_121_121 = e12
% 35.30/9.31 |
% 35.30/9.31 | Combining equations (3267,3345) yields a new equation:
% 35.30/9.31 | (3221) e12 = e11
% 35.30/9.31 |
% 35.30/9.31 | Simplifying 3221 yields:
% 35.30/9.31 | (3222) e12 = e11
% 35.30/9.31 |
% 35.30/9.31 | Equations (3222) can reduce 208 to:
% 35.30/9.31 | (401) $false
% 35.30/9.31 |
% 35.30/9.31 |-The branch is then unsatisfiable
% 35.30/9.31 |-Branch two:
% 35.30/9.31 | (3201) ~ (all_0_112_112 = e11)
% 35.30/9.31 | (3225) all_0_116_116 = e11 | all_0_120_120 = e11
% 35.30/9.31 |
% 35.30/9.31 +-Applying beta-rule and splitting (3194), into two cases.
% 35.30/9.31 |-Branch one:
% 35.30/9.31 | (3214) all_0_112_112 = e12
% 35.30/9.31 |
% 35.30/9.31 | Equations (3214) can reduce 3347 to:
% 35.30/9.31 | (401) $false
% 35.30/9.31 |
% 35.30/9.31 |-The branch is then unsatisfiable
% 35.30/9.31 |-Branch two:
% 35.30/9.31 | (3347) ~ (all_0_112_112 = e12)
% 35.30/9.31 | (3220) all_0_112_112 = e11
% 35.30/9.31 |
% 35.30/9.31 | Equations (3220) can reduce 3201 to:
% 35.30/9.31 | (401) $false
% 35.30/9.31 |
% 35.30/9.31 |-The branch is then unsatisfiable
% 35.30/9.31 |-Branch two:
% 35.30/9.31 | (3212) ~ (all_0_117_117 = e10)
% 35.30/9.31 | (3458) all_0_118_118 = e10
% 35.30/9.31 |
% 35.30/9.31 | Combining equations (3801,3458) yields a new equation:
% 35.30/9.31 | (3329) e13 = e10
% 35.30/9.31 |
% 35.30/9.31 | Simplifying 3329 yields:
% 35.30/9.31 | (3304) e13 = e10
% 35.30/9.31 |
% 35.30/9.31 | Equations (3304) can reduce 134 to:
% 35.30/9.31 | (401) $false
% 35.30/9.31 |
% 35.30/9.31 |-The branch is then unsatisfiable
% 35.30/9.31 |-Branch two:
% 35.30/9.31 | (3256) ~ (all_0_116_116 = e12)
% 35.30/9.32 | (3226) all_0_116_116 = e11
% 35.30/9.32 |
% 35.30/9.32 | Equations (3226) can reduce 3230 to:
% 35.30/9.32 | (401) $false
% 35.30/9.32 |
% 35.30/9.32 |-The branch is then unsatisfiable
% 35.30/9.32 |-Branch two:
% 35.30/9.32 | (3750) ~ (all_0_115_115 = e11)
% 35.30/9.32 | (3404) all_0_119_119 = e11
% 35.30/9.32 |
% 35.30/9.32 | Equations (3404) can reduce 3408 to:
% 35.30/9.32 | (401) $false
% 35.30/9.32 |
% 35.30/9.32 |-The branch is then unsatisfiable
% 35.30/9.32 |-Branch two:
% 35.30/9.32 | (3156) ~ (all_0_111_111 = e13)
% 35.30/9.32 | (3165) all_0_112_112 = e13 | all_0_114_114 = e13
% 35.30/9.32 |
% 35.30/9.32 +-Applying beta-rule and splitting (339), into two cases.
% 35.30/9.32 |-Branch one:
% 35.30/9.32 | (3162) all_0_111_111 = e13
% 35.30/9.32 |
% 35.30/9.32 | Equations (3162) can reduce 3156 to:
% 35.30/9.32 | (401) $false
% 35.30/9.32 |
% 35.30/9.32 |-The branch is then unsatisfiable
% 35.30/9.32 |-Branch two:
% 35.30/9.32 | (3156) ~ (all_0_111_111 = e13)
% 35.30/9.32 | (3772) all_0_115_115 = e13 | all_0_119_119 = e13
% 35.30/9.32 |
% 35.30/9.32 +-Applying beta-rule and splitting (3165), into two cases.
% 35.30/9.32 |-Branch one:
% 35.30/9.32 | (3166) all_0_112_112 = e13
% 35.30/9.32 |
% 35.30/9.32 | Equations (3166) can reduce 356 to:
% 35.30/9.32 | (3794) ~ (all_0_114_114 = e13)
% 35.30/9.32 |
% 35.30/9.32 | Simplifying 3794 yields:
% 35.30/9.32 | (3795) ~ (all_0_114_114 = e13)
% 35.30/9.32 |
% 35.30/9.32 | Equations (3166) can reduce 187 to:
% 35.30/9.32 | (3782) ~ (all_0_116_116 = e13)
% 35.30/9.32 |
% 35.30/9.32 | Simplifying 3782 yields:
% 35.30/9.32 | (3766) ~ (all_0_116_116 = e13)
% 35.30/9.32 |
% 35.30/9.32 | Equations (3166) can reduce 104 to:
% 35.30/9.32 | (134) ~ (e13 = e10)
% 35.30/9.32 |
% 35.30/9.32 | From (3166) and (32) follows:
% 35.30/9.32 | (4470) op1(e13, e12) = e13
% 35.30/9.32 |
% 35.30/9.32 +-Applying beta-rule and splitting (7), into two cases.
% 35.30/9.32 |-Branch one:
% 35.30/9.32 | (3155) all_0_119_119 = e13
% 35.30/9.32 |
% 35.30/9.32 | Equations (3155) can reduce 14 to:
% 35.30/9.32 | (3156) ~ (all_0_111_111 = e13)
% 35.30/9.32 |
% 35.30/9.32 | Equations (3155) can reduce 258 to:
% 35.30/9.32 | (3144) ~ (all_0_120_120 = e13)
% 35.30/9.32 |
% 35.30/9.32 | Simplifying 3144 yields:
% 35.30/9.32 | (3145) ~ (all_0_120_120 = e13)
% 35.30/9.32 |
% 35.30/9.32 | Equations (3155) can reduce 60 to:
% 35.30/9.32 | (76) ~ (e13 = e12)
% 35.30/9.32 |
% 35.30/9.32 | From (3155) and (315) follows:
% 35.30/9.32 | (4273) op1(e10, e13) = e13
% 35.30/9.32 |
% 35.30/9.32 +-Applying beta-rule and splitting (153), into two cases.
% 35.30/9.32 |-Branch one:
% 35.30/9.32 | (3162) all_0_111_111 = e13
% 35.30/9.32 |
% 35.30/9.32 | Equations (3162) can reduce 3156 to:
% 35.30/9.32 | (401) $false
% 35.30/9.32 |
% 35.30/9.32 |-The branch is then unsatisfiable
% 35.30/9.32 |-Branch two:
% 35.30/9.32 | (3156) ~ (all_0_111_111 = e13)
% 35.30/9.32 | (3190) all_0_111_111 = e11 | all_0_111_111 = e10
% 35.30/9.32 |
% 35.30/9.32 +-Applying beta-rule and splitting (73), into two cases.
% 35.30/9.32 |-Branch one:
% 35.30/9.32 | (3169) all_0_114_114 = e13
% 35.30/9.32 |
% 35.30/9.32 | Equations (3169) can reduce 3795 to:
% 35.30/9.32 | (401) $false
% 35.30/9.32 |
% 35.30/9.32 |-The branch is then unsatisfiable
% 35.30/9.32 |-Branch two:
% 35.30/9.32 | (3795) ~ (all_0_114_114 = e13)
% 35.30/9.32 | (3827) all_0_114_114 = e12 | all_0_114_114 = e10
% 35.30/9.32 |
% 35.30/9.32 +-Applying beta-rule and splitting (284), into two cases.
% 35.30/9.32 |-Branch one:
% 35.30/9.32 | (3183) all_0_120_120 = e13
% 35.30/9.32 |
% 35.30/9.32 | Equations (3183) can reduce 3145 to:
% 35.30/9.32 | (401) $false
% 35.30/9.32 |
% 35.30/9.32 |-The branch is then unsatisfiable
% 35.30/9.32 |-Branch two:
% 35.30/9.32 | (3145) ~ (all_0_120_120 = e13)
% 35.30/9.32 | (3186) all_0_120_120 = e12 | all_0_120_120 = e11
% 35.30/9.32 |
% 35.30/9.32 +-Applying beta-rule and splitting (319), into two cases.
% 35.30/9.32 |-Branch one:
% 35.30/9.32 | (3328) all_0_119_119 = e10
% 35.30/9.32 |
% 35.30/9.32 | Combining equations (3328,3155) yields a new equation:
% 35.30/9.32 | (3304) e13 = e10
% 35.30/9.32 |
% 35.30/9.32 | Equations (3304) can reduce 134 to:
% 35.30/9.32 | (401) $false
% 35.30/9.32 |
% 35.30/9.32 |-The branch is then unsatisfiable
% 35.30/9.32 |-Branch two:
% 35.30/9.32 | (3414) ~ (all_0_119_119 = e10)
% 35.30/9.32 | (3415) all_0_121_121 = e10 | all_0_122_122 = e10
% 35.30/9.32 |
% 35.30/9.32 | Equations (3155) can reduce 3414 to:
% 35.30/9.32 | (134) ~ (e13 = e10)
% 35.30/9.32 |
% 35.30/9.32 +-Applying beta-rule and splitting (143), into two cases.
% 35.30/9.32 |-Branch one:
% 35.30/9.32 | (3214) all_0_112_112 = e12
% 35.30/9.32 |
% 35.30/9.32 | Combining equations (3214,3166) yields a new equation:
% 35.30/9.32 | (3254) e13 = e12
% 35.30/9.32 |
% 35.30/9.32 | Equations (3254) can reduce 76 to:
% 35.30/9.32 | (401) $false
% 35.30/9.32 |
% 35.30/9.32 |-The branch is then unsatisfiable
% 35.30/9.32 |-Branch two:
% 35.30/9.32 | (3347) ~ (all_0_112_112 = e12)
% 35.30/9.32 | (3640) all_0_116_116 = e12 | all_0_120_120 = e12
% 35.30/9.32 |
% 35.30/9.32 +-Applying beta-rule and splitting (282), into two cases.
% 35.30/9.32 |-Branch one:
% 35.30/9.32 | (3220) all_0_112_112 = e11
% 35.30/9.32 |
% 35.30/9.32 | Combining equations (3220,3166) yields a new equation:
% 35.30/9.32 | (3228) e13 = e11
% 35.30/9.32 |
% 35.30/9.32 | Equations (3228) can reduce 34 to:
% 35.30/9.32 | (401) $false
% 35.30/9.32 |
% 35.30/9.32 |-The branch is then unsatisfiable
% 35.30/9.32 |-Branch two:
% 35.30/9.32 | (3201) ~ (all_0_112_112 = e11)
% 35.30/9.32 | (3225) all_0_116_116 = e11 | all_0_120_120 = e11
% 35.30/9.32 |
% 35.30/9.32 | Equations (3166) can reduce 3201 to:
% 35.30/9.32 | (34) ~ (e13 = e11)
% 35.30/9.32 |
% 35.30/9.32 +-Applying beta-rule and splitting (57), into two cases.
% 35.30/9.32 |-Branch one:
% 35.30/9.32 | (3277) all_0_115_115 = e10
% 35.30/9.32 |
% 35.30/9.32 | Equations (3277) can reduce 157 to:
% 35.30/9.32 | (3208) ~ (all_0_111_111 = e10)
% 35.30/9.32 |
% 35.30/9.32 | Equations (3277) can reduce 127 to:
% 35.30/9.32 | (3211) ~ (all_0_117_117 = e10)
% 35.30/9.32 |
% 35.30/9.32 | Simplifying 3211 yields:
% 35.30/9.32 | (3212) ~ (all_0_117_117 = e10)
% 35.30/9.32 |
% 35.30/9.32 +-Applying beta-rule and splitting (185), into two cases.
% 35.30/9.32 |-Branch one:
% 35.30/9.32 | (3199) all_0_111_111 = e11
% 35.30/9.32 |
% 35.30/9.33 | Equations (3199) can reduce 198 to:
% 35.30/9.33 | (3833) ~ (all_0_113_113 = e11)
% 35.30/9.33 |
% 35.30/9.33 | Simplifying 3833 yields:
% 35.30/9.33 | (3244) ~ (all_0_113_113 = e11)
% 35.30/9.33 |
% 35.30/9.33 +-Applying beta-rule and splitting (357), into two cases.
% 35.30/9.33 |-Branch one:
% 35.30/9.33 | (3353) all_0_114_114 = e12
% 35.30/9.33 |
% 35.30/9.33 | Equations (3353) can reduce 25 to:
% 35.30/9.33 | (3352) ~ (all_0_113_113 = e12)
% 35.30/9.33 |
% 35.30/9.33 | Equations (3353) can reduce 10 to:
% 35.30/9.33 | (3264) ~ (all_0_122_122 = e12)
% 35.30/9.33 |
% 35.30/9.33 | Simplifying 3264 yields:
% 35.30/9.33 | (3265) ~ (all_0_122_122 = e12)
% 35.30/9.33 |
% 35.30/9.33 +-Applying beta-rule and splitting (243), into two cases.
% 35.30/9.33 |-Branch one:
% 35.30/9.33 | (3349) all_0_113_113 = e12
% 35.30/9.33 |
% 35.30/9.33 | Equations (3349) can reduce 3352 to:
% 35.30/9.33 | (401) $false
% 35.30/9.33 |
% 35.30/9.33 |-The branch is then unsatisfiable
% 35.30/9.33 |-Branch two:
% 35.30/9.33 | (3352) ~ (all_0_113_113 = e12)
% 35.30/9.33 | (3962) all_0_113_113 = e11 | all_0_113_113 = e10
% 35.30/9.33 |
% 35.30/9.33 +-Applying beta-rule and splitting (3198), into two cases.
% 35.30/9.33 |-Branch one:
% 35.30/9.33 | (3279) all_0_122_122 = e12
% 35.30/9.33 |
% 35.30/9.33 | Equations (3279) can reduce 3265 to:
% 35.30/9.33 | (401) $false
% 35.30/9.33 |
% 35.30/9.33 |-The branch is then unsatisfiable
% 35.30/9.33 |-Branch two:
% 35.30/9.33 | (3265) ~ (all_0_122_122 = e12)
% 35.30/9.33 | (3282) all_0_122_122 = e10
% 35.30/9.33 |
% 35.30/9.33 | Equations (3282) can reduce 262 to:
% 35.30/9.33 | (235) ~ (all_0_120_120 = e10)
% 35.30/9.33 |
% 35.30/9.33 +-Applying beta-rule and splitting (3962), into two cases.
% 35.30/9.33 |-Branch one:
% 35.30/9.33 | (3240) all_0_113_113 = e11
% 35.30/9.33 |
% 35.30/9.33 | Equations (3240) can reduce 3244 to:
% 35.30/9.33 | (401) $false
% 35.30/9.33 |
% 35.30/9.33 |-The branch is then unsatisfiable
% 35.30/9.33 |-Branch two:
% 35.30/9.33 | (3244) ~ (all_0_113_113 = e11)
% 35.30/9.33 | (3210) all_0_113_113 = e10
% 35.30/9.33 |
% 35.30/9.33 | Equations (3210) can reduce 252 to:
% 35.30/9.33 | (3211) ~ (all_0_117_117 = e10)
% 35.30/9.33 |
% 35.30/9.33 | Simplifying 3211 yields:
% 35.30/9.33 | (3212) ~ (all_0_117_117 = e10)
% 35.30/9.33 |
% 35.30/9.33 | Equations (3210) can reduce 139 to:
% 35.30/9.33 | (3535) ~ (all_0_121_121 = e10)
% 35.30/9.33 |
% 35.30/9.33 | Simplifying 3535 yields:
% 35.30/9.33 | (3536) ~ (all_0_121_121 = e10)
% 35.30/9.33 |
% 35.30/9.33 | From (3210) and (148) follows:
% 35.30/9.33 | (3213) op1(e13, e11) = e10
% 35.30/9.33 |
% 35.30/9.33 +-Applying beta-rule and splitting (316), into two cases.
% 35.30/9.33 |-Branch one:
% 35.30/9.33 | (3258) all_0_117_117 = e12
% 35.30/9.33 |
% 35.30/9.33 | Equations (3258) can reduce 95 to:
% 35.30/9.33 | (3256) ~ (all_0_116_116 = e12)
% 35.30/9.33 |
% 35.30/9.33 | From (3258) and (345) follows:
% 35.30/9.33 | (3303) op1(e12, e11) = e12
% 35.30/9.33 |
% 35.30/9.33 +-Applying beta-rule and splitting (3640), into two cases.
% 35.30/9.33 |-Branch one:
% 35.30/9.33 | (3253) all_0_116_116 = e12
% 35.30/9.33 |
% 35.30/9.33 | Equations (3253) can reduce 3256 to:
% 35.30/9.33 | (401) $false
% 35.30/9.33 |
% 35.30/9.33 |-The branch is then unsatisfiable
% 35.30/9.33 |-Branch two:
% 35.30/9.33 | (3256) ~ (all_0_116_116 = e12)
% 35.30/9.33 | (3334) all_0_120_120 = e12
% 35.30/9.33 |
% 35.30/9.33 | Equations (3334) can reduce 294 to:
% 35.30/9.33 | (3256) ~ (all_0_116_116 = e12)
% 35.30/9.33 |
% 35.30/9.33 | Equations (3334) can reduce 3145 to:
% 35.30/9.33 | (3217) ~ (e13 = e12)
% 35.30/9.33 |
% 35.30/9.33 | Simplifying 3217 yields:
% 35.30/9.33 | (76) ~ (e13 = e12)
% 35.30/9.33 |
% 35.30/9.33 | From (3334) and (70) follows:
% 35.30/9.33 | (3497) op1(e10, e12) = e12
% 35.30/9.33 |
% 35.30/9.33 +-Applying beta-rule and splitting (3779), into two cases.
% 35.30/9.33 |-Branch one:
% 35.30/9.33 | (3253) all_0_116_116 = e12
% 35.30/9.33 |
% 35.30/9.33 | Equations (3253) can reduce 3256 to:
% 35.30/9.33 | (401) $false
% 35.30/9.33 |
% 35.30/9.33 |-The branch is then unsatisfiable
% 35.30/9.33 |-Branch two:
% 35.30/9.33 | (3256) ~ (all_0_116_116 = e12)
% 35.30/9.33 | (3226) all_0_116_116 = e11
% 35.30/9.33 |
% 35.30/9.33 | Equations (3226) can reduce 3766 to:
% 35.30/9.33 | (3202) ~ (e13 = e11)
% 35.30/9.33 |
% 35.30/9.33 | Simplifying 3202 yields:
% 35.30/9.33 | (34) ~ (e13 = e11)
% 35.30/9.33 |
% 35.30/9.33 | Equations (3226) can reduce 3256 to:
% 35.30/9.33 | (3236) ~ (e12 = e11)
% 35.30/9.33 |
% 35.30/9.33 | Simplifying 3236 yields:
% 35.30/9.33 | (208) ~ (e12 = e11)
% 35.30/9.33 |
% 35.30/9.33 +-Applying beta-rule and splitting (320), into two cases.
% 35.30/9.33 |-Branch one:
% 35.30/9.33 | (3404) all_0_119_119 = e11
% 35.30/9.33 |
% 35.30/9.33 | Combining equations (3155,3404) yields a new equation:
% 35.30/9.33 | (3227) e13 = e11
% 35.30/9.33 |
% 35.30/9.33 | Simplifying 3227 yields:
% 35.30/9.33 | (3228) e13 = e11
% 35.30/9.33 |
% 35.30/9.33 | Equations (3228) can reduce 34 to:
% 35.30/9.33 | (401) $false
% 35.30/9.33 |
% 35.30/9.33 |-The branch is then unsatisfiable
% 35.30/9.33 |-Branch two:
% 35.30/9.33 | (3408) ~ (all_0_119_119 = e11)
% 35.30/9.33 | (3409) all_0_120_120 = e11 | all_0_121_121 = e11
% 35.30/9.33 |
% 35.30/9.33 +-Applying beta-rule and splitting (3409), into two cases.
% 35.30/9.33 |-Branch one:
% 35.30/9.33 | (3231) all_0_120_120 = e11
% 35.30/9.33 |
% 35.30/9.33 | Combining equations (3334,3231) yields a new equation:
% 35.30/9.33 | (3221) e12 = e11
% 35.30/9.33 |
% 35.30/9.33 | Simplifying 3221 yields:
% 35.30/9.33 | (3222) e12 = e11
% 35.30/9.33 |
% 35.30/9.33 | Equations (3222) can reduce 208 to:
% 35.30/9.33 | (401) $false
% 35.30/9.33 |
% 35.30/9.33 |-The branch is then unsatisfiable
% 35.30/9.33 |-Branch two:
% 35.30/9.33 | (3663) ~ (all_0_120_120 = e11)
% 35.30/9.33 | (3345) all_0_121_121 = e11
% 35.30/9.33 |
% 35.30/9.33 | Equations (3345) can reduce 3536 to:
% 35.30/9.33 | (138) ~ (e11 = e10)
% 35.30/9.33 |
% 35.30/9.33 +-Applying beta-rule and splitting (272), into two cases.
% 35.30/9.33 |-Branch one:
% 35.30/9.33 | (3285) unit1 = e13
% 35.30/9.33 |
% 35.30/9.33 | From (3285) and (362) follows:
% 35.30/9.33 | (4388) op1(e13, e12) = e12
% 35.30/9.33 |
% 35.30/9.33 | From (3285) and (246) follows:
% 35.30/9.34 | (3287) op1(e11, e13) = e11
% 35.30/9.34 |
% 35.30/9.34 | From (3285) and (207) follows:
% 35.30/9.34 | (4455) op1(e10, e13) = e10
% 35.30/9.34 |
% 35.30/9.34 | Instantiating formula (291) with e13, e12, e12, e13 and discharging atoms op1(e13, e12) = e13, op1(e13, e12) = e12, yields:
% 35.30/9.34 | (3254) e13 = e12
% 35.30/9.34 |
% 35.30/9.34 | Instantiating formula (291) with e11, e13, e11, e12 and discharging atoms op1(e11, e13) = e12, op1(e11, e13) = e11, yields:
% 35.30/9.34 | (3222) e12 = e11
% 35.30/9.34 |
% 35.30/9.34 | Instantiating formula (291) with e10, e13, e10, e13 and discharging atoms op1(e10, e13) = e13, op1(e10, e13) = e10, yields:
% 35.30/9.34 | (3304) e13 = e10
% 35.30/9.34 |
% 35.30/9.34 | Combining equations (3254,3304) yields a new equation:
% 35.30/9.34 | (3307) e12 = e10
% 35.30/9.34 |
% 35.30/9.34 | Simplifying 3307 yields:
% 35.30/9.34 | (3288) e12 = e10
% 35.30/9.34 |
% 35.30/9.34 | Combining equations (3222,3288) yields a new equation:
% 35.30/9.34 | (3205) e11 = e10
% 35.30/9.34 |
% 35.30/9.34 | Simplifying 3205 yields:
% 35.30/9.34 | (3206) e11 = e10
% 35.30/9.34 |
% 35.30/9.34 | Equations (3206) can reduce 138 to:
% 35.30/9.34 | (401) $false
% 35.30/9.34 |
% 35.30/9.34 |-The branch is then unsatisfiable
% 35.30/9.34 |-Branch two:
% 35.30/9.34 | (3292) ~ (unit1 = e13)
% 35.30/9.34 | (3293) unit1 = e12 | unit1 = e11 | unit1 = e10
% 35.30/9.34 |
% 35.30/9.34 +-Applying beta-rule and splitting (3293), into two cases.
% 35.30/9.34 |-Branch one:
% 35.30/9.34 | (3294) unit1 = e12
% 35.30/9.34 |
% 35.30/9.34 | From (3294) and (92) follows:
% 35.30/9.34 | (3252) op1(e12, e11) = e11
% 35.30/9.34 |
% 35.30/9.34 | From (3294) and (207) follows:
% 35.30/9.34 | (3295) op1(e10, e12) = e10
% 35.30/9.34 |
% 35.30/9.34 | Instantiating formula (291) with e12, e11, e11, e12 and discharging atoms op1(e12, e11) = e12, op1(e12, e11) = e11, yields:
% 35.30/9.34 | (3222) e12 = e11
% 35.30/9.34 |
% 35.30/9.34 | Instantiating formula (291) with e10, e12, e10, e12 and discharging atoms op1(e10, e12) = e12, op1(e10, e12) = e10, yields:
% 35.30/9.34 | (3288) e12 = e10
% 35.30/9.34 |
% 35.30/9.34 | Combining equations (3222,3288) yields a new equation:
% 35.30/9.34 | (3205) e11 = e10
% 35.30/9.34 |
% 35.30/9.34 | Simplifying 3205 yields:
% 35.30/9.34 | (3206) e11 = e10
% 35.30/9.34 |
% 35.30/9.34 | Equations (3206) can reduce 138 to:
% 35.30/9.34 | (401) $false
% 35.30/9.34 |
% 35.30/9.34 |-The branch is then unsatisfiable
% 35.30/9.34 |-Branch two:
% 35.30/9.34 | (3298) ~ (unit1 = e12)
% 35.30/9.34 | (3299) unit1 = e11 | unit1 = e10
% 35.30/9.34 |
% 35.30/9.34 +-Applying beta-rule and splitting (3299), into two cases.
% 35.30/9.34 |-Branch one:
% 35.30/9.34 | (3300) unit1 = e11
% 35.30/9.34 |
% 35.30/9.34 | From (3300) and (205) follows:
% 35.30/9.34 | (3301) op1(e11, e13) = e13
% 35.30/9.34 |
% 35.30/9.34 | From (3300) and (206) follows:
% 35.30/9.34 | (3302) op1(e13, e11) = e13
% 35.30/9.34 |
% 35.30/9.34 | From (3300) and (246) follows:
% 35.30/9.34 | (3485) op1(e11, e11) = e11
% 35.30/9.34 |
% 35.30/9.34 | Instantiating formula (291) with e13, e11, e13, e10 and discharging atoms op1(e13, e11) = e13, op1(e13, e11) = e10, yields:
% 35.30/9.34 | (3304) e13 = e10
% 35.30/9.34 |
% 35.30/9.34 | Instantiating formula (291) with e11, e13, e13, e12 and discharging atoms op1(e11, e13) = e13, op1(e11, e13) = e12, yields:
% 35.30/9.34 | (3254) e13 = e12
% 35.30/9.34 |
% 35.30/9.34 | Instantiating formula (291) with e11, e11, e11, e13 and discharging atoms op1(e11, e11) = e13, op1(e11, e11) = e11, yields:
% 35.30/9.34 | (3228) e13 = e11
% 35.30/9.34 |
% 35.30/9.34 | Combining equations (3304,3254) yields a new equation:
% 35.30/9.34 | (3288) e12 = e10
% 35.30/9.34 |
% 35.30/9.34 | Combining equations (3228,3254) yields a new equation:
% 35.30/9.34 | (3222) e12 = e11
% 35.30/9.34 |
% 35.30/9.34 | Combining equations (3222,3288) yields a new equation:
% 35.30/9.34 | (3205) e11 = e10
% 35.30/9.34 |
% 35.30/9.34 | Simplifying 3205 yields:
% 35.30/9.34 | (3206) e11 = e10
% 35.30/9.34 |
% 35.30/9.34 | Equations (3206) can reduce 138 to:
% 35.30/9.34 | (401) $false
% 35.30/9.34 |
% 35.30/9.34 |-The branch is then unsatisfiable
% 35.30/9.34 |-Branch two:
% 35.30/9.34 | (3312) ~ (unit1 = e11)
% 35.30/9.34 | (3313) unit1 = e10
% 35.30/9.34 |
% 35.30/9.34 | From (3313) and (136) follows:
% 35.30/9.34 | (3560) op1(e12, e10) = e12
% 35.30/9.34 |
% 35.30/9.34 | Instantiating formula (291) with e12, e10, e12, e13 and discharging atoms op1(e12, e10) = e13, op1(e12, e10) = e12, yields:
% 35.30/9.34 | (3254) e13 = e12
% 35.30/9.34 |
% 35.30/9.34 | Equations (3254) can reduce 76 to:
% 35.30/9.34 | (401) $false
% 35.30/9.34 |
% 35.30/9.34 |-The branch is then unsatisfiable
% 35.64/9.34 |-Branch two:
% 35.64/9.34 | (3262) ~ (all_0_117_117 = e12)
% 35.64/9.34 | (3530) all_0_117_117 = e11 | all_0_117_117 = e10
% 35.64/9.34 |
% 35.64/9.34 +-Applying beta-rule and splitting (3530), into two cases.
% 35.64/9.34 |-Branch one:
% 35.64/9.34 | (3246) all_0_117_117 = e11
% 35.64/9.34 |
% 35.64/9.34 | Equations (3246) can reduce 95 to:
% 35.64/9.34 | (3230) ~ (all_0_116_116 = e11)
% 35.64/9.34 |
% 35.64/9.34 | From (3246) and (345) follows:
% 35.64/9.34 | (3252) op1(e12, e11) = e11
% 35.64/9.34 |
% 35.64/9.34 +-Applying beta-rule and splitting (3225), into two cases.
% 35.64/9.34 |-Branch one:
% 35.64/9.34 | (3226) all_0_116_116 = e11
% 35.64/9.34 |
% 35.64/9.34 | Equations (3226) can reduce 3230 to:
% 35.64/9.34 | (401) $false
% 35.64/9.34 |
% 35.64/9.34 |-The branch is then unsatisfiable
% 35.64/9.34 |-Branch two:
% 35.64/9.34 | (3230) ~ (all_0_116_116 = e11)
% 35.64/9.34 | (3231) all_0_120_120 = e11
% 35.64/9.34 |
% 35.64/9.34 | Equations (3231) can reduce 294 to:
% 35.64/9.34 | (3230) ~ (all_0_116_116 = e11)
% 35.64/9.34 |
% 35.64/9.34 | Equations (3231) can reduce 333 to:
% 35.64/9.34 | (3232) ~ (all_0_121_121 = e11)
% 35.64/9.34 |
% 35.64/9.34 | Simplifying 3232 yields:
% 35.64/9.34 | (3233) ~ (all_0_121_121 = e11)
% 35.64/9.34 |
% 35.64/9.34 | Equations (3231) can reduce 235 to:
% 35.64/9.34 | (138) ~ (e11 = e10)
% 35.64/9.34 |
% 35.64/9.34 | From (3231) and (70) follows:
% 35.64/9.35 | (3239) op1(e10, e12) = e11
% 35.64/9.35 |
% 35.64/9.35 +-Applying beta-rule and splitting (51), into two cases.
% 35.64/9.35 |-Branch one:
% 35.64/9.35 | (3267) all_0_121_121 = e12
% 35.64/9.35 |
% 35.64/9.35 | From (3267) and (21) follows:
% 35.64/9.35 | (3271) op1(e10, e11) = e12
% 35.64/9.35 |
% 35.64/9.35 +-Applying beta-rule and splitting (3779), into two cases.
% 35.64/9.35 |-Branch one:
% 35.64/9.35 | (3253) all_0_116_116 = e12
% 35.64/9.35 |
% 35.64/9.35 | Equations (3253) can reduce 3230 to:
% 35.64/9.35 | (208) ~ (e12 = e11)
% 35.64/9.35 |
% 35.64/9.35 +-Applying beta-rule and splitting (272), into two cases.
% 35.64/9.35 |-Branch one:
% 35.64/9.35 | (3285) unit1 = e13
% 35.64/9.35 |
% 35.64/9.35 | From (3285) and (362) follows:
% 35.64/9.35 | (4388) op1(e13, e12) = e12
% 35.64/9.35 |
% 35.64/9.35 | From (3285) and (246) follows:
% 35.64/9.35 | (3287) op1(e11, e13) = e11
% 35.64/9.35 |
% 35.64/9.35 | From (3285) and (207) follows:
% 35.64/9.35 | (4455) op1(e10, e13) = e10
% 35.64/9.35 |
% 35.64/9.35 | Instantiating formula (291) with e13, e12, e12, e13 and discharging atoms op1(e13, e12) = e13, op1(e13, e12) = e12, yields:
% 35.64/9.35 | (3254) e13 = e12
% 35.64/9.35 |
% 35.64/9.35 | Instantiating formula (291) with e11, e13, e11, e12 and discharging atoms op1(e11, e13) = e12, op1(e11, e13) = e11, yields:
% 35.64/9.35 | (3222) e12 = e11
% 35.64/9.35 |
% 35.64/9.35 | Instantiating formula (291) with e10, e13, e10, e13 and discharging atoms op1(e10, e13) = e13, op1(e10, e13) = e10, yields:
% 35.64/9.35 | (3304) e13 = e10
% 35.64/9.35 |
% 35.64/9.35 | Combining equations (3254,3304) yields a new equation:
% 35.64/9.35 | (3307) e12 = e10
% 35.64/9.35 |
% 35.64/9.35 | Simplifying 3307 yields:
% 35.64/9.35 | (3288) e12 = e10
% 35.64/9.35 |
% 35.64/9.35 | Combining equations (3222,3288) yields a new equation:
% 35.64/9.35 | (3205) e11 = e10
% 35.64/9.35 |
% 35.64/9.35 | Simplifying 3205 yields:
% 35.64/9.35 | (3206) e11 = e10
% 35.64/9.35 |
% 35.64/9.35 | Equations (3206) can reduce 138 to:
% 35.64/9.35 | (401) $false
% 35.64/9.35 |
% 35.64/9.35 |-The branch is then unsatisfiable
% 35.64/9.35 |-Branch two:
% 35.64/9.35 | (3292) ~ (unit1 = e13)
% 35.64/9.35 | (3293) unit1 = e12 | unit1 = e11 | unit1 = e10
% 35.64/9.35 |
% 35.64/9.35 +-Applying beta-rule and splitting (3293), into two cases.
% 35.64/9.35 |-Branch one:
% 35.64/9.35 | (3294) unit1 = e12
% 35.64/9.35 |
% 35.64/9.35 | From (3294) and (207) follows:
% 35.64/9.35 | (3295) op1(e10, e12) = e10
% 35.64/9.35 |
% 35.64/9.35 | Instantiating formula (291) with e10, e12, e10, e11 and discharging atoms op1(e10, e12) = e11, op1(e10, e12) = e10, yields:
% 35.64/9.35 | (3206) e11 = e10
% 35.64/9.35 |
% 35.64/9.35 | Equations (3206) can reduce 138 to:
% 35.64/9.35 | (401) $false
% 35.64/9.35 |
% 35.64/9.35 |-The branch is then unsatisfiable
% 35.64/9.35 |-Branch two:
% 35.64/9.35 | (3298) ~ (unit1 = e12)
% 35.64/9.35 | (3299) unit1 = e11 | unit1 = e10
% 35.64/9.35 |
% 35.64/9.35 +-Applying beta-rule and splitting (3299), into two cases.
% 35.64/9.35 |-Branch one:
% 35.64/9.35 | (3300) unit1 = e11
% 35.64/9.35 |
% 35.64/9.35 | From (3300) and (205) follows:
% 35.64/9.35 | (3301) op1(e11, e13) = e13
% 35.64/9.35 |
% 35.64/9.35 | From (3300) and (206) follows:
% 35.64/9.35 | (3302) op1(e13, e11) = e13
% 35.64/9.35 |
% 35.64/9.35 | From (3300) and (136) follows:
% 35.64/9.35 | (3303) op1(e12, e11) = e12
% 35.64/9.35 |
% 35.64/9.35 | Instantiating formula (291) with e13, e11, e13, e10 and discharging atoms op1(e13, e11) = e13, op1(e13, e11) = e10, yields:
% 35.64/9.35 | (3304) e13 = e10
% 35.64/9.35 |
% 35.64/9.35 | Instantiating formula (291) with e12, e11, e12, e11 and discharging atoms op1(e12, e11) = e12, op1(e12, e11) = e11, yields:
% 35.64/9.35 | (3222) e12 = e11
% 35.64/9.35 |
% 35.64/9.35 | Instantiating formula (291) with e11, e13, e13, e12 and discharging atoms op1(e11, e13) = e13, op1(e11, e13) = e12, yields:
% 35.64/9.35 | (3254) e13 = e12
% 35.64/9.35 |
% 35.64/9.35 | Combining equations (3254,3304) yields a new equation:
% 35.64/9.35 | (3307) e12 = e10
% 35.64/9.35 |
% 35.64/9.35 | Simplifying 3307 yields:
% 35.64/9.35 | (3288) e12 = e10
% 35.64/9.35 |
% 35.64/9.35 | Combining equations (3222,3288) yields a new equation:
% 35.64/9.35 | (3205) e11 = e10
% 35.64/9.35 |
% 35.64/9.35 | Simplifying 3205 yields:
% 35.64/9.35 | (3206) e11 = e10
% 35.64/9.35 |
% 35.64/9.35 | Equations (3206) can reduce 138 to:
% 35.64/9.35 | (401) $false
% 35.64/9.35 |
% 35.64/9.35 |-The branch is then unsatisfiable
% 35.64/9.35 |-Branch two:
% 35.64/9.35 | (3312) ~ (unit1 = e11)
% 35.64/9.35 | (3313) unit1 = e10
% 35.64/9.35 |
% 35.64/9.35 | From (3313) and (92) follows:
% 35.64/9.35 | (3314) op1(e10, e11) = e11
% 35.64/9.35 |
% 35.64/9.35 | Instantiating formula (291) with e10, e11, e11, e12 and discharging atoms op1(e10, e11) = e12, op1(e10, e11) = e11, yields:
% 35.64/9.35 | (3222) e12 = e11
% 35.64/9.35 |
% 35.64/9.35 | Equations (3222) can reduce 208 to:
% 35.64/9.35 | (401) $false
% 35.64/9.35 |
% 35.64/9.35 |-The branch is then unsatisfiable
% 35.64/9.35 |-Branch two:
% 35.64/9.35 | (3256) ~ (all_0_116_116 = e12)
% 35.64/9.35 | (3226) all_0_116_116 = e11
% 35.64/9.35 |
% 35.64/9.35 | Equations (3226) can reduce 3230 to:
% 35.64/9.35 | (401) $false
% 35.64/9.35 |
% 35.64/9.35 |-The branch is then unsatisfiable
% 35.64/9.35 |-Branch two:
% 35.64/9.35 | (3332) ~ (all_0_121_121 = e12)
% 35.64/9.35 | (3333) all_0_121_121 = e11 | all_0_121_121 = e10
% 35.64/9.35 |
% 35.64/9.35 +-Applying beta-rule and splitting (3333), into two cases.
% 35.64/9.35 |-Branch one:
% 35.64/9.35 | (3345) all_0_121_121 = e11
% 35.64/9.35 |
% 35.64/9.35 | Equations (3345) can reduce 3233 to:
% 35.64/9.35 | (401) $false
% 35.64/9.35 |
% 35.64/9.35 |-The branch is then unsatisfiable
% 35.64/9.35 |-Branch two:
% 35.64/9.35 | (3233) ~ (all_0_121_121 = e11)
% 35.64/9.35 | (3438) all_0_121_121 = e10
% 35.64/9.35 |
% 35.64/9.35 | Equations (3438) can reduce 3536 to:
% 35.64/9.35 | (401) $false
% 35.64/9.35 |
% 35.64/9.35 |-The branch is then unsatisfiable
% 35.64/9.36 |-Branch two:
% 35.64/9.36 | (3344) ~ (all_0_117_117 = e11)
% 35.64/9.36 | (3433) all_0_117_117 = e10
% 35.64/9.36 |
% 35.64/9.36 | Equations (3433) can reduce 3212 to:
% 35.64/9.36 | (401) $false
% 35.64/9.36 |
% 35.64/9.36 |-The branch is then unsatisfiable
% 35.64/9.36 |-Branch two:
% 35.64/9.36 | (3448) ~ (all_0_114_114 = e12)
% 35.64/9.36 | (3449) all_0_118_118 = e12 | all_0_122_122 = e12
% 35.64/9.36 |
% 35.64/9.36 +-Applying beta-rule and splitting (3827), into two cases.
% 35.64/9.36 |-Branch one:
% 35.64/9.36 | (3353) all_0_114_114 = e12
% 35.64/9.36 |
% 35.64/9.36 | Equations (3353) can reduce 3448 to:
% 35.64/9.36 | (401) $false
% 35.64/9.36 |
% 35.64/9.36 |-The branch is then unsatisfiable
% 35.64/9.36 |-Branch two:
% 35.64/9.36 | (3448) ~ (all_0_114_114 = e12)
% 35.64/9.36 | (3358) all_0_114_114 = e10
% 35.64/9.36 |
% 35.64/9.36 | Equations (3358) can reduce 25 to:
% 35.64/9.36 | (3357) ~ (all_0_113_113 = e10)
% 35.64/9.36 |
% 35.64/9.36 | Equations (3358) can reduce 10 to:
% 35.64/9.36 | (3439) ~ (all_0_122_122 = e10)
% 35.64/9.36 |
% 35.64/9.36 | Simplifying 3439 yields:
% 35.64/9.36 | (3440) ~ (all_0_122_122 = e10)
% 35.64/9.36 |
% 35.64/9.36 | From (3358) and (145) follows:
% 35.64/9.36 | (4043) op1(e13, e10) = e10
% 35.64/9.36 |
% 35.64/9.36 +-Applying beta-rule and splitting (72), into two cases.
% 35.64/9.36 |-Branch one:
% 35.64/9.36 | (3210) all_0_113_113 = e10
% 35.64/9.36 |
% 35.64/9.36 | Equations (3210) can reduce 3357 to:
% 35.64/9.36 | (401) $false
% 35.64/9.36 |
% 35.64/9.36 |-The branch is then unsatisfiable
% 35.64/9.36 |-Branch two:
% 35.64/9.36 | (3357) ~ (all_0_113_113 = e10)
% 35.64/9.36 | (3403) all_0_117_117 = e10 | all_0_121_121 = e10
% 35.64/9.36 |
% 35.64/9.36 +-Applying beta-rule and splitting (243), into two cases.
% 35.64/9.36 |-Branch one:
% 35.64/9.36 | (3349) all_0_113_113 = e12
% 35.64/9.36 |
% 35.64/9.36 | Equations (3349) can reduce 139 to:
% 35.64/9.36 | (3652) ~ (all_0_121_121 = e12)
% 35.64/9.36 |
% 35.64/9.36 | Simplifying 3652 yields:
% 35.64/9.36 | (3332) ~ (all_0_121_121 = e12)
% 35.64/9.36 |
% 35.64/9.36 +-Applying beta-rule and splitting (41), into two cases.
% 35.64/9.36 |-Branch one:
% 35.64/9.36 | (3253) all_0_116_116 = e12
% 35.64/9.36 |
% 35.64/9.36 | Equations (3253) can reduce 95 to:
% 35.64/9.36 | (3995) ~ (all_0_117_117 = e12)
% 35.64/9.36 |
% 35.64/9.36 | Simplifying 3995 yields:
% 35.64/9.36 | (3262) ~ (all_0_117_117 = e12)
% 35.64/9.36 |
% 35.64/9.36 | Equations (3253) can reduce 294 to:
% 35.64/9.36 | (3215) ~ (all_0_120_120 = e12)
% 35.64/9.36 |
% 35.64/9.36 | Simplifying 3215 yields:
% 35.64/9.36 | (3216) ~ (all_0_120_120 = e12)
% 35.64/9.36 |
% 35.64/9.36 +-Applying beta-rule and splitting (316), into two cases.
% 35.64/9.36 |-Branch one:
% 35.64/9.36 | (3258) all_0_117_117 = e12
% 35.64/9.36 |
% 35.64/9.36 | Equations (3258) can reduce 3262 to:
% 35.64/9.36 | (401) $false
% 35.64/9.36 |
% 35.64/9.36 |-The branch is then unsatisfiable
% 35.64/9.36 |-Branch two:
% 35.64/9.36 | (3262) ~ (all_0_117_117 = e12)
% 35.64/9.36 | (3530) all_0_117_117 = e11 | all_0_117_117 = e10
% 35.64/9.36 |
% 35.64/9.36 +-Applying beta-rule and splitting (3186), into two cases.
% 35.64/9.36 |-Branch one:
% 35.64/9.36 | (3334) all_0_120_120 = e12
% 35.64/9.36 |
% 35.64/9.36 | Equations (3334) can reduce 3216 to:
% 35.64/9.36 | (401) $false
% 35.64/9.36 |
% 35.64/9.36 |-The branch is then unsatisfiable
% 35.64/9.36 |-Branch two:
% 35.64/9.36 | (3216) ~ (all_0_120_120 = e12)
% 35.64/9.36 | (3231) all_0_120_120 = e11
% 35.64/9.36 |
% 35.64/9.36 | From (3231) and (70) follows:
% 35.64/9.36 | (3239) op1(e10, e12) = e11
% 35.64/9.36 |
% 35.64/9.36 +-Applying beta-rule and splitting (3530), into two cases.
% 35.64/9.36 |-Branch one:
% 35.64/9.36 | (3246) all_0_117_117 = e11
% 35.64/9.36 |
% 35.64/9.36 | Equations (3246) can reduce 126 to:
% 35.64/9.36 | (3232) ~ (all_0_121_121 = e11)
% 35.64/9.36 |
% 35.64/9.36 | Simplifying 3232 yields:
% 35.64/9.36 | (3233) ~ (all_0_121_121 = e11)
% 35.64/9.36 |
% 35.64/9.36 +-Applying beta-rule and splitting (51), into two cases.
% 35.64/9.36 |-Branch one:
% 35.64/9.36 | (3267) all_0_121_121 = e12
% 35.64/9.36 |
% 35.64/9.36 | Equations (3267) can reduce 3332 to:
% 35.64/9.36 | (401) $false
% 35.64/9.36 |
% 35.64/9.36 |-The branch is then unsatisfiable
% 35.64/9.36 |-Branch two:
% 35.64/9.36 | (3332) ~ (all_0_121_121 = e12)
% 35.64/9.36 | (3333) all_0_121_121 = e11 | all_0_121_121 = e10
% 35.64/9.36 |
% 35.64/9.36 +-Applying beta-rule and splitting (3333), into two cases.
% 35.64/9.36 |-Branch one:
% 35.64/9.36 | (3345) all_0_121_121 = e11
% 35.64/9.36 |
% 35.64/9.36 | Equations (3345) can reduce 3233 to:
% 35.64/9.36 | (401) $false
% 35.64/9.36 |
% 35.64/9.36 |-The branch is then unsatisfiable
% 35.64/9.36 |-Branch two:
% 35.64/9.36 | (3233) ~ (all_0_121_121 = e11)
% 35.64/9.36 | (3438) all_0_121_121 = e10
% 35.64/9.36 |
% 35.64/9.36 | Equations (3438) can reduce 3233 to:
% 35.64/9.36 | (3283) ~ (e11 = e10)
% 35.64/9.36 |
% 35.64/9.36 | Simplifying 3283 yields:
% 35.64/9.36 | (138) ~ (e11 = e10)
% 35.64/9.36 |
% 35.64/9.36 +-Applying beta-rule and splitting (272), into two cases.
% 35.64/9.36 |-Branch one:
% 35.64/9.36 | (3285) unit1 = e13
% 35.64/9.36 |
% 35.64/9.36 | From (3285) and (362) follows:
% 35.64/9.36 | (4388) op1(e13, e12) = e12
% 35.64/9.36 |
% 35.64/9.36 | From (3285) and (246) follows:
% 35.64/9.36 | (3287) op1(e11, e13) = e11
% 35.64/9.36 |
% 35.64/9.36 | From (3285) and (207) follows:
% 35.64/9.36 | (4455) op1(e10, e13) = e10
% 35.64/9.36 |
% 35.64/9.36 | Instantiating formula (291) with e13, e12, e12, e13 and discharging atoms op1(e13, e12) = e13, op1(e13, e12) = e12, yields:
% 35.64/9.36 | (3254) e13 = e12
% 35.64/9.36 |
% 35.64/9.36 | Instantiating formula (291) with e11, e13, e11, e12 and discharging atoms op1(e11, e13) = e12, op1(e11, e13) = e11, yields:
% 35.64/9.36 | (3222) e12 = e11
% 35.64/9.36 |
% 35.64/9.36 | Instantiating formula (291) with e10, e13, e10, e13 and discharging atoms op1(e10, e13) = e13, op1(e10, e13) = e10, yields:
% 35.64/9.36 | (3304) e13 = e10
% 35.64/9.36 |
% 35.64/9.36 | Combining equations (3254,3304) yields a new equation:
% 35.64/9.36 | (3307) e12 = e10
% 35.64/9.36 |
% 35.64/9.36 | Simplifying 3307 yields:
% 35.64/9.36 | (3288) e12 = e10
% 35.64/9.36 |
% 35.64/9.36 | Combining equations (3288,3222) yields a new equation:
% 35.64/9.36 | (3206) e11 = e10
% 35.64/9.36 |
% 35.64/9.36 | Equations (3206) can reduce 138 to:
% 35.64/9.36 | (401) $false
% 35.64/9.36 |
% 35.64/9.36 |-The branch is then unsatisfiable
% 35.64/9.36 |-Branch two:
% 35.64/9.36 | (3292) ~ (unit1 = e13)
% 35.64/9.37 | (3293) unit1 = e12 | unit1 = e11 | unit1 = e10
% 35.64/9.37 |
% 35.64/9.37 +-Applying beta-rule and splitting (3293), into two cases.
% 35.64/9.37 |-Branch one:
% 35.64/9.37 | (3294) unit1 = e12
% 35.64/9.37 |
% 35.64/9.37 | From (3294) and (207) follows:
% 35.64/9.37 | (3295) op1(e10, e12) = e10
% 35.64/9.37 |
% 35.64/9.37 | Instantiating formula (291) with e10, e12, e10, e11 and discharging atoms op1(e10, e12) = e11, op1(e10, e12) = e10, yields:
% 35.64/9.37 | (3206) e11 = e10
% 35.64/9.37 |
% 35.64/9.37 | Equations (3206) can reduce 138 to:
% 35.64/9.37 | (401) $false
% 35.64/9.37 |
% 35.64/9.37 |-The branch is then unsatisfiable
% 35.64/9.37 |-Branch two:
% 35.64/9.37 | (3298) ~ (unit1 = e12)
% 35.64/9.37 | (3299) unit1 = e11 | unit1 = e10
% 35.64/9.37 |
% 35.64/9.37 +-Applying beta-rule and splitting (3299), into two cases.
% 35.64/9.37 |-Branch one:
% 35.64/9.37 | (3300) unit1 = e11
% 35.64/9.37 |
% 35.64/9.37 | From (3300) and (205) follows:
% 35.64/9.37 | (3301) op1(e11, e13) = e13
% 35.64/9.37 |
% 35.64/9.37 | From (3300) and (362) follows:
% 35.64/9.37 | (3484) op1(e11, e12) = e12
% 35.64/9.37 |
% 35.64/9.37 | From (3300) and (246) follows:
% 35.64/9.37 | (3485) op1(e11, e11) = e11
% 35.64/9.37 |
% 35.64/9.37 | Instantiating formula (291) with e11, e13, e13, e12 and discharging atoms op1(e11, e13) = e13, op1(e11, e13) = e12, yields:
% 35.64/9.37 | (3254) e13 = e12
% 35.64/9.37 |
% 35.64/9.37 | Instantiating formula (291) with e11, e12, e12, e10 and discharging atoms op1(e11, e12) = e12, op1(e11, e12) = e10, yields:
% 35.64/9.37 | (3288) e12 = e10
% 35.64/9.37 |
% 35.64/9.37 | Instantiating formula (291) with e11, e11, e11, e13 and discharging atoms op1(e11, e11) = e13, op1(e11, e11) = e11, yields:
% 35.64/9.37 | (3228) e13 = e11
% 35.64/9.37 |
% 35.64/9.37 | Combining equations (3228,3254) yields a new equation:
% 35.64/9.37 | (3222) e12 = e11
% 35.64/9.37 |
% 35.64/9.37 | Combining equations (3222,3288) yields a new equation:
% 35.64/9.37 | (3205) e11 = e10
% 35.64/9.37 |
% 35.64/9.37 | Simplifying 3205 yields:
% 35.64/9.37 | (3206) e11 = e10
% 35.64/9.37 |
% 35.64/9.37 | Equations (3206) can reduce 138 to:
% 35.64/9.37 | (401) $false
% 35.64/9.37 |
% 35.64/9.37 |-The branch is then unsatisfiable
% 35.64/9.37 |-Branch two:
% 35.64/9.37 | (3312) ~ (unit1 = e11)
% 35.64/9.37 | (3313) unit1 = e10
% 35.64/9.37 |
% 35.64/9.37 | Equations (3313) can reduce 3312 to:
% 35.64/9.37 | (3283) ~ (e11 = e10)
% 35.64/9.37 |
% 35.64/9.37 | Simplifying 3283 yields:
% 35.64/9.37 | (138) ~ (e11 = e10)
% 35.64/9.37 |
% 35.64/9.37 | From (3313) and (362) follows:
% 35.64/9.37 | (3497) op1(e10, e12) = e12
% 35.64/9.37 |
% 35.64/9.37 | From (3313) and (206) follows:
% 35.64/9.37 | (4078) op1(e13, e10) = e13
% 35.64/9.37 |
% 35.64/9.37 | From (3313) and (136) follows:
% 35.64/9.37 | (3560) op1(e12, e10) = e12
% 35.64/9.37 |
% 35.64/9.37 | Instantiating formula (291) with e13, e10, e13, e10 and discharging atoms op1(e13, e10) = e13, op1(e13, e10) = e10, yields:
% 35.64/9.37 | (3304) e13 = e10
% 35.64/9.37 |
% 35.64/9.37 | Instantiating formula (291) with e12, e10, e12, e13 and discharging atoms op1(e12, e10) = e13, op1(e12, e10) = e12, yields:
% 35.64/9.37 | (3254) e13 = e12
% 35.64/9.37 |
% 35.64/9.37 | Instantiating formula (291) with e10, e12, e12, e11 and discharging atoms op1(e10, e12) = e12, op1(e10, e12) = e11, yields:
% 35.64/9.37 | (3222) e12 = e11
% 35.64/9.37 |
% 35.64/9.37 | Combining equations (3304,3254) yields a new equation:
% 35.64/9.37 | (3288) e12 = e10
% 35.64/9.37 |
% 35.64/9.37 | Combining equations (3222,3288) yields a new equation:
% 35.64/9.37 | (3205) e11 = e10
% 35.64/9.37 |
% 35.64/9.37 | Simplifying 3205 yields:
% 35.64/9.37 | (3206) e11 = e10
% 35.64/9.37 |
% 35.64/9.37 | Equations (3206) can reduce 138 to:
% 35.64/9.37 | (401) $false
% 35.64/9.37 |
% 35.64/9.37 |-The branch is then unsatisfiable
% 35.64/9.37 |-Branch two:
% 35.64/9.37 | (3344) ~ (all_0_117_117 = e11)
% 35.64/9.37 | (3433) all_0_117_117 = e10
% 35.64/9.37 |
% 35.64/9.37 | Equations (3433) can reduce 3212 to:
% 35.64/9.37 | (401) $false
% 35.64/9.37 |
% 35.64/9.37 |-The branch is then unsatisfiable
% 35.64/9.37 |-Branch two:
% 35.64/9.37 | (3256) ~ (all_0_116_116 = e12)
% 35.64/9.37 | (3257) all_0_117_117 = e12 | all_0_118_118 = e12
% 35.64/9.37 |
% 35.64/9.37 +-Applying beta-rule and splitting (3779), into two cases.
% 35.64/9.37 |-Branch one:
% 35.64/9.37 | (3253) all_0_116_116 = e12
% 35.64/9.37 |
% 35.64/9.37 | Equations (3253) can reduce 3256 to:
% 35.64/9.37 | (401) $false
% 35.64/9.37 |
% 35.64/9.37 |-The branch is then unsatisfiable
% 35.64/9.37 |-Branch two:
% 35.64/9.37 | (3256) ~ (all_0_116_116 = e12)
% 35.64/9.37 | (3226) all_0_116_116 = e11
% 35.64/9.37 |
% 35.64/9.37 +-Applying beta-rule and splitting (3198), into two cases.
% 35.64/9.37 |-Branch one:
% 35.64/9.37 | (3279) all_0_122_122 = e12
% 35.64/9.37 |
% 35.64/9.37 | Equations (3279) can reduce 262 to:
% 35.64/9.37 | (3216) ~ (all_0_120_120 = e12)
% 35.64/9.37 |
% 35.64/9.37 | Equations (3279) can reduce 147 to:
% 35.64/9.37 | (208) ~ (e12 = e11)
% 35.64/9.37 |
% 35.64/9.37 +-Applying beta-rule and splitting (133), into two cases.
% 35.64/9.37 |-Branch one:
% 35.64/9.37 | (3240) all_0_113_113 = e11
% 35.64/9.37 |
% 35.64/9.37 | Combining equations (3240,3349) yields a new equation:
% 35.64/9.37 | (3222) e12 = e11
% 35.64/9.37 |
% 35.64/9.37 | Equations (3222) can reduce 208 to:
% 35.64/9.37 | (401) $false
% 35.64/9.37 |
% 35.64/9.37 |-The branch is then unsatisfiable
% 35.64/9.37 |-Branch two:
% 35.64/9.37 | (3244) ~ (all_0_113_113 = e11)
% 35.64/9.37 | (3245) all_0_117_117 = e11 | all_0_121_121 = e11
% 35.64/9.37 |
% 35.64/9.37 | Equations (3349) can reduce 3244 to:
% 35.64/9.37 | (208) ~ (e12 = e11)
% 35.64/9.37 |
% 35.64/9.37 +-Applying beta-rule and splitting (3640), into two cases.
% 35.64/9.37 |-Branch one:
% 35.64/9.37 | (3253) all_0_116_116 = e12
% 35.64/9.37 |
% 35.64/9.37 | Combining equations (3226,3253) yields a new equation:
% 35.64/9.37 | (3222) e12 = e11
% 35.64/9.37 |
% 35.64/9.37 | Equations (3222) can reduce 208 to:
% 35.64/9.37 | (401) $false
% 35.64/9.37 |
% 35.64/9.37 |-The branch is then unsatisfiable
% 35.64/9.37 |-Branch two:
% 35.64/9.37 | (3256) ~ (all_0_116_116 = e12)
% 35.64/9.37 | (3334) all_0_120_120 = e12
% 35.64/9.37 |
% 35.64/9.37 | Equations (3334) can reduce 3216 to:
% 35.64/9.37 | (401) $false
% 35.64/9.37 |
% 35.64/9.37 |-The branch is then unsatisfiable
% 35.64/9.38 |-Branch two:
% 35.64/9.38 | (3265) ~ (all_0_122_122 = e12)
% 35.64/9.38 | (3282) all_0_122_122 = e10
% 35.64/9.38 |
% 35.64/9.38 | Equations (3282) can reduce 3440 to:
% 35.64/9.38 | (401) $false
% 35.64/9.38 |
% 35.64/9.38 |-The branch is then unsatisfiable
% 35.64/9.38 |-Branch two:
% 35.64/9.38 | (3352) ~ (all_0_113_113 = e12)
% 35.64/9.38 | (3962) all_0_113_113 = e11 | all_0_113_113 = e10
% 35.64/9.38 |
% 35.64/9.38 +-Applying beta-rule and splitting (3962), into two cases.
% 35.64/9.38 |-Branch one:
% 35.64/9.38 | (3240) all_0_113_113 = e11
% 35.64/9.38 |
% 35.64/9.38 | Equations (3240) can reduce 3244 to:
% 35.64/9.38 | (401) $false
% 35.64/9.38 |
% 35.64/9.38 |-The branch is then unsatisfiable
% 35.64/9.38 |-Branch two:
% 35.64/9.38 | (3244) ~ (all_0_113_113 = e11)
% 35.64/9.38 | (3210) all_0_113_113 = e10
% 35.64/9.38 |
% 35.64/9.38 | Equations (3210) can reduce 3357 to:
% 35.64/9.38 | (401) $false
% 35.64/9.38 |
% 35.64/9.38 |-The branch is then unsatisfiable
% 35.64/9.38 |-Branch two:
% 35.64/9.38 | (3362) ~ (all_0_111_111 = e11)
% 35.64/9.38 | (3363) all_0_115_115 = e11 | all_0_119_119 = e11
% 35.64/9.38 |
% 35.64/9.38 +-Applying beta-rule and splitting (174), into two cases.
% 35.64/9.38 |-Branch one:
% 35.64/9.38 | (3199) all_0_111_111 = e11
% 35.64/9.38 |
% 35.64/9.38 | Equations (3199) can reduce 3362 to:
% 35.64/9.38 | (401) $false
% 35.64/9.38 |
% 35.64/9.38 |-The branch is then unsatisfiable
% 35.64/9.38 |-Branch two:
% 35.64/9.38 | (3362) ~ (all_0_111_111 = e11)
% 35.64/9.38 | (3399) all_0_112_112 = e11 | all_0_113_113 = e11
% 35.64/9.38 |
% 35.64/9.38 +-Applying beta-rule and splitting (3190), into two cases.
% 35.64/9.38 |-Branch one:
% 35.64/9.38 | (3199) all_0_111_111 = e11
% 35.64/9.38 |
% 35.64/9.38 | Equations (3199) can reduce 3362 to:
% 35.64/9.38 | (401) $false
% 35.64/9.38 |
% 35.64/9.38 |-The branch is then unsatisfiable
% 35.64/9.38 |-Branch two:
% 35.64/9.38 | (3362) ~ (all_0_111_111 = e11)
% 35.64/9.38 | (3204) all_0_111_111 = e10
% 35.64/9.38 |
% 35.64/9.38 | Equations (3204) can reduce 3208 to:
% 35.64/9.38 | (401) $false
% 35.64/9.38 |
% 35.64/9.38 |-The branch is then unsatisfiable
% 35.64/9.38 |-Branch two:
% 35.64/9.38 | (3317) ~ (all_0_115_115 = e10)
% 35.64/9.38 | (3318) all_0_117_117 = e10 | all_0_118_118 = e10
% 35.64/9.38 |
% 35.64/9.38 +-Applying beta-rule and splitting (233), into two cases.
% 35.64/9.38 |-Branch one:
% 35.64/9.38 | (3204) all_0_111_111 = e10
% 35.64/9.38 |
% 35.64/9.38 | Equations (3204) can reduce 273 to:
% 35.64/9.38 | (4201) ~ (all_0_114_114 = e10)
% 35.64/9.38 |
% 35.64/9.38 | Simplifying 4201 yields:
% 35.64/9.38 | (3391) ~ (all_0_114_114 = e10)
% 35.64/9.38 |
% 35.64/9.38 | Equations (3204) can reduce 3156 to:
% 35.64/9.38 | (3323) ~ (e13 = e10)
% 35.64/9.38 |
% 35.64/9.38 | Simplifying 3323 yields:
% 35.64/9.38 | (134) ~ (e13 = e10)
% 35.64/9.38 |
% 35.64/9.38 +-Applying beta-rule and splitting (85), into two cases.
% 35.64/9.38 |-Branch one:
% 35.64/9.38 | (3358) all_0_114_114 = e10
% 35.64/9.38 |
% 35.64/9.38 | Equations (3358) can reduce 3391 to:
% 35.64/9.38 | (401) $false
% 35.64/9.38 |
% 35.64/9.38 |-The branch is then unsatisfiable
% 35.64/9.38 |-Branch two:
% 35.64/9.38 | (3391) ~ (all_0_114_114 = e10)
% 35.64/9.38 | (3392) all_0_118_118 = e10 | all_0_122_122 = e10
% 35.64/9.38 |
% 35.64/9.38 +-Applying beta-rule and splitting (174), into two cases.
% 35.64/9.38 |-Branch one:
% 35.64/9.38 | (3199) all_0_111_111 = e11
% 35.64/9.38 |
% 35.64/9.38 | Combining equations (3199,3204) yields a new equation:
% 35.64/9.38 | (3205) e11 = e10
% 35.64/9.38 |
% 35.64/9.38 | Simplifying 3205 yields:
% 35.64/9.38 | (3206) e11 = e10
% 35.64/9.38 |
% 35.64/9.38 | Equations (3206) can reduce 138 to:
% 35.64/9.38 | (401) $false
% 35.64/9.38 |
% 35.64/9.38 |-The branch is then unsatisfiable
% 35.64/9.38 |-Branch two:
% 35.64/9.38 | (3362) ~ (all_0_111_111 = e11)
% 35.64/9.38 | (3399) all_0_112_112 = e11 | all_0_113_113 = e11
% 35.64/9.38 |
% 35.64/9.38 +-Applying beta-rule and splitting (3399), into two cases.
% 35.64/9.38 |-Branch one:
% 35.64/9.38 | (3220) all_0_112_112 = e11
% 35.64/9.38 |
% 35.64/9.38 | Combining equations (3166,3220) yields a new equation:
% 35.64/9.38 | (3227) e13 = e11
% 35.64/9.38 |
% 35.64/9.38 | Simplifying 3227 yields:
% 35.64/9.38 | (3228) e13 = e11
% 35.64/9.38 |
% 35.64/9.38 | Equations (3228) can reduce 34 to:
% 35.64/9.38 | (401) $false
% 35.64/9.38 |
% 35.64/9.38 |-The branch is then unsatisfiable
% 35.64/9.38 |-Branch two:
% 35.64/9.38 | (3201) ~ (all_0_112_112 = e11)
% 35.77/9.38 | (3240) all_0_113_113 = e11
% 35.77/9.38 |
% 35.77/9.38 | Equations (3240) can reduce 25 to:
% 35.77/9.38 | (3835) ~ (all_0_114_114 = e11)
% 35.77/9.38 |
% 35.77/9.38 | Simplifying 3835 yields:
% 35.77/9.38 | (55) ~ (all_0_114_114 = e11)
% 35.77/9.38 |
% 35.77/9.38 | Equations (3240) can reduce 139 to:
% 35.77/9.38 | (3232) ~ (all_0_121_121 = e11)
% 35.77/9.38 |
% 35.77/9.38 | Simplifying 3232 yields:
% 35.77/9.38 | (3233) ~ (all_0_121_121 = e11)
% 35.77/9.38 |
% 35.77/9.38 +-Applying beta-rule and splitting (3827), into two cases.
% 35.77/9.38 |-Branch one:
% 35.77/9.38 | (3353) all_0_114_114 = e12
% 35.77/9.38 |
% 35.77/9.38 | Equations (3353) can reduce 10 to:
% 35.77/9.38 | (3264) ~ (all_0_122_122 = e12)
% 35.77/9.38 |
% 35.77/9.38 | Simplifying 3264 yields:
% 35.77/9.38 | (3265) ~ (all_0_122_122 = e12)
% 35.77/9.38 |
% 35.77/9.38 | Equations (3353) can reduce 55 to:
% 35.77/9.38 | (208) ~ (e12 = e11)
% 35.77/9.38 |
% 35.77/9.38 +-Applying beta-rule and splitting (3318), into two cases.
% 35.77/9.38 |-Branch one:
% 35.77/9.38 | (3433) all_0_117_117 = e10
% 35.77/9.38 |
% 35.77/9.38 +-Applying beta-rule and splitting (41), into two cases.
% 35.77/9.38 |-Branch one:
% 35.77/9.38 | (3253) all_0_116_116 = e12
% 35.77/9.38 |
% 35.77/9.38 | Equations (3253) can reduce 267 to:
% 35.77/9.38 | (300) ~ (all_0_115_115 = e12)
% 35.77/9.38 |
% 35.77/9.38 +-Applying beta-rule and splitting (3198), into two cases.
% 35.77/9.38 |-Branch one:
% 35.77/9.38 | (3279) all_0_122_122 = e12
% 35.77/9.38 |
% 35.77/9.39 | Equations (3279) can reduce 3265 to:
% 35.77/9.39 | (401) $false
% 35.77/9.39 |
% 35.77/9.39 |-The branch is then unsatisfiable
% 35.77/9.39 |-Branch two:
% 35.77/9.39 | (3265) ~ (all_0_122_122 = e12)
% 35.77/9.39 | (3282) all_0_122_122 = e10
% 35.77/9.39 |
% 35.77/9.39 | Equations (3282) can reduce 262 to:
% 35.77/9.39 | (235) ~ (all_0_120_120 = e10)
% 35.77/9.39 |
% 35.77/9.39 | Equations (3282) can reduce 297 to:
% 35.77/9.39 | (3536) ~ (all_0_121_121 = e10)
% 35.77/9.39 |
% 35.77/9.39 | Equations (3282) can reduce 147 to:
% 35.77/9.39 | (3283) ~ (e11 = e10)
% 35.77/9.39 |
% 35.77/9.39 | Simplifying 3283 yields:
% 35.77/9.39 | (138) ~ (e11 = e10)
% 35.77/9.39 |
% 35.77/9.39 +-Applying beta-rule and splitting (51), into two cases.
% 35.77/9.39 |-Branch one:
% 35.77/9.39 | (3267) all_0_121_121 = e12
% 35.77/9.39 |
% 35.77/9.39 | Equations (3267) can reduce 333 to:
% 35.77/9.39 | (3216) ~ (all_0_120_120 = e12)
% 35.77/9.39 |
% 35.77/9.39 | Equations (3267) can reduce 3233 to:
% 35.77/9.39 | (208) ~ (e12 = e11)
% 35.77/9.39 |
% 35.77/9.39 | From (3267) and (21) follows:
% 35.77/9.39 | (3271) op1(e10, e11) = e12
% 35.77/9.39 |
% 35.77/9.39 +-Applying beta-rule and splitting (222), into two cases.
% 35.77/9.39 |-Branch one:
% 35.77/9.39 | (3364) all_0_115_115 = e11
% 35.77/9.39 |
% 35.77/9.39 | Equations (3364) can reduce 300 to:
% 35.77/9.39 | (3236) ~ (e12 = e11)
% 35.77/9.39 |
% 35.77/9.39 | Simplifying 3236 yields:
% 35.77/9.39 | (208) ~ (e12 = e11)
% 35.77/9.39 |
% 35.77/9.39 | From (3364) and (301) follows:
% 35.77/9.39 | (3372) op1(e12, e13) = e11
% 35.77/9.39 |
% 35.77/9.39 +-Applying beta-rule and splitting (3225), into two cases.
% 35.77/9.39 |-Branch one:
% 35.77/9.39 | (3226) all_0_116_116 = e11
% 35.77/9.39 |
% 35.77/9.39 | Combining equations (3253,3226) yields a new equation:
% 35.77/9.39 | (3221) e12 = e11
% 35.77/9.39 |
% 35.77/9.39 | Simplifying 3221 yields:
% 35.77/9.39 | (3222) e12 = e11
% 35.77/9.39 |
% 35.77/9.39 | Equations (3222) can reduce 208 to:
% 35.77/9.39 | (401) $false
% 35.77/9.39 |
% 35.77/9.39 |-The branch is then unsatisfiable
% 35.77/9.39 |-Branch two:
% 35.77/9.39 | (3230) ~ (all_0_116_116 = e11)
% 35.77/9.39 | (3231) all_0_120_120 = e11
% 35.77/9.39 |
% 35.77/9.39 | Equations (3231) can reduce 3216 to:
% 35.77/9.39 | (3236) ~ (e12 = e11)
% 35.77/9.39 |
% 35.77/9.39 | Simplifying 3236 yields:
% 35.77/9.39 | (208) ~ (e12 = e11)
% 35.77/9.39 |
% 35.77/9.39 | Equations (3231) can reduce 235 to:
% 35.77/9.39 | (138) ~ (e11 = e10)
% 35.77/9.39 |
% 35.77/9.39 +-Applying beta-rule and splitting (272), into two cases.
% 35.77/9.39 |-Branch one:
% 35.77/9.39 | (3285) unit1 = e13
% 35.77/9.39 |
% 35.77/9.39 | From (3285) and (362) follows:
% 35.77/9.39 | (4388) op1(e13, e12) = e12
% 35.77/9.39 |
% 35.77/9.39 | From (3285) and (246) follows:
% 35.77/9.39 | (3287) op1(e11, e13) = e11
% 35.77/9.39 |
% 35.77/9.39 | From (3285) and (207) follows:
% 35.77/9.39 | (4455) op1(e10, e13) = e10
% 35.77/9.39 |
% 35.77/9.39 | Instantiating formula (291) with e13, e12, e12, e13 and discharging atoms op1(e13, e12) = e13, op1(e13, e12) = e12, yields:
% 35.77/9.39 | (3254) e13 = e12
% 35.77/9.39 |
% 35.77/9.39 | Instantiating formula (291) with e11, e13, e11, e12 and discharging atoms op1(e11, e13) = e12, op1(e11, e13) = e11, yields:
% 35.77/9.39 | (3222) e12 = e11
% 35.77/9.39 |
% 35.77/9.39 | Instantiating formula (291) with e10, e13, e10, e13 and discharging atoms op1(e10, e13) = e13, op1(e10, e13) = e10, yields:
% 35.77/9.39 | (3304) e13 = e10
% 35.77/9.39 |
% 35.77/9.39 | Combining equations (3254,3304) yields a new equation:
% 35.77/9.39 | (3307) e12 = e10
% 35.77/9.39 |
% 35.77/9.39 | Simplifying 3307 yields:
% 35.77/9.39 | (3288) e12 = e10
% 35.77/9.39 |
% 35.77/9.39 | Combining equations (3288,3222) yields a new equation:
% 35.77/9.39 | (3206) e11 = e10
% 35.77/9.39 |
% 35.77/9.39 | Equations (3206) can reduce 138 to:
% 35.77/9.39 | (401) $false
% 35.77/9.39 |
% 35.77/9.39 |-The branch is then unsatisfiable
% 35.77/9.39 |-Branch two:
% 35.77/9.39 | (3292) ~ (unit1 = e13)
% 35.77/9.39 | (3293) unit1 = e12 | unit1 = e11 | unit1 = e10
% 35.77/9.39 |
% 35.77/9.39 +-Applying beta-rule and splitting (3293), into two cases.
% 35.77/9.39 |-Branch one:
% 35.77/9.39 | (3294) unit1 = e12
% 35.77/9.39 |
% 35.77/9.39 | From (3294) and (205) follows:
% 35.77/9.39 | (3599) op1(e12, e13) = e13
% 35.77/9.39 |
% 35.77/9.39 | From (3294) and (189) follows:
% 35.77/9.39 | (3600) op1(e12, e10) = e10
% 35.77/9.39 |
% 35.77/9.39 | Instantiating formula (291) with e12, e13, e13, e11 and discharging atoms op1(e12, e13) = e13, op1(e12, e13) = e11, yields:
% 35.77/9.39 | (3228) e13 = e11
% 35.77/9.39 |
% 35.77/9.39 | Instantiating formula (291) with e12, e10, e10, e13 and discharging atoms op1(e12, e10) = e13, op1(e12, e10) = e10, yields:
% 35.77/9.39 | (3304) e13 = e10
% 35.77/9.39 |
% 35.77/9.39 | Combining equations (3304,3228) yields a new equation:
% 35.77/9.39 | (3206) e11 = e10
% 35.77/9.39 |
% 35.77/9.39 | Equations (3206) can reduce 138 to:
% 35.77/9.39 | (401) $false
% 35.77/9.39 |
% 35.77/9.39 |-The branch is then unsatisfiable
% 35.77/9.39 |-Branch two:
% 35.77/9.39 | (3298) ~ (unit1 = e12)
% 35.77/9.39 | (3299) unit1 = e11 | unit1 = e10
% 35.77/9.39 |
% 35.77/9.39 +-Applying beta-rule and splitting (3299), into two cases.
% 35.77/9.39 |-Branch one:
% 35.77/9.39 | (3300) unit1 = e11
% 35.77/9.39 |
% 35.77/9.39 | From (3300) and (205) follows:
% 35.77/9.39 | (3301) op1(e11, e13) = e13
% 35.77/9.39 |
% 35.77/9.39 | From (3300) and (246) follows:
% 35.77/9.39 | (3485) op1(e11, e11) = e11
% 35.77/9.39 |
% 35.77/9.39 | From (3300) and (207) follows:
% 35.77/9.39 | (3614) op1(e10, e11) = e10
% 35.77/9.39 |
% 35.77/9.39 | Instantiating formula (291) with e11, e13, e13, e12 and discharging atoms op1(e11, e13) = e13, op1(e11, e13) = e12, yields:
% 35.77/9.39 | (3254) e13 = e12
% 35.77/9.39 |
% 35.77/9.39 | Instantiating formula (291) with e11, e11, e11, e13 and discharging atoms op1(e11, e11) = e13, op1(e11, e11) = e11, yields:
% 35.77/9.39 | (3228) e13 = e11
% 35.77/9.39 |
% 35.77/9.39 | Instantiating formula (291) with e10, e11, e10, e12 and discharging atoms op1(e10, e11) = e12, op1(e10, e11) = e10, yields:
% 35.77/9.39 | (3288) e12 = e10
% 35.77/9.39 |
% 35.77/9.39 | Combining equations (3254,3228) yields a new equation:
% 35.77/9.39 | (3221) e12 = e11
% 35.77/9.39 |
% 35.77/9.39 | Simplifying 3221 yields:
% 35.77/9.39 | (3222) e12 = e11
% 35.77/9.39 |
% 35.77/9.39 | Combining equations (3222,3288) yields a new equation:
% 35.77/9.39 | (3205) e11 = e10
% 35.77/9.39 |
% 35.77/9.39 | Simplifying 3205 yields:
% 35.77/9.39 | (3206) e11 = e10
% 35.77/9.39 |
% 35.77/9.39 | Equations (3206) can reduce 138 to:
% 35.77/9.39 | (401) $false
% 35.77/9.39 |
% 35.77/9.39 |-The branch is then unsatisfiable
% 35.77/9.39 |-Branch two:
% 35.77/9.39 | (3312) ~ (unit1 = e11)
% 35.77/9.39 | (3313) unit1 = e10
% 35.77/9.39 |
% 35.77/9.39 | From (3313) and (92) follows:
% 35.77/9.40 | (3314) op1(e10, e11) = e11
% 35.77/9.40 |
% 35.77/9.40 | Instantiating formula (291) with e10, e11, e11, e12 and discharging atoms op1(e10, e11) = e12, op1(e10, e11) = e11, yields:
% 35.77/9.40 | (3222) e12 = e11
% 35.77/9.40 |
% 35.77/9.40 | Equations (3222) can reduce 208 to:
% 35.77/9.40 | (401) $false
% 35.77/9.40 |
% 35.77/9.40 |-The branch is then unsatisfiable
% 35.77/9.40 |-Branch two:
% 35.77/9.40 | (3750) ~ (all_0_115_115 = e11)
% 35.77/9.40 | (4005) all_0_116_116 = e11 | all_0_117_117 = e11
% 35.77/9.40 |
% 35.77/9.40 +-Applying beta-rule and splitting (4005), into two cases.
% 35.77/9.40 |-Branch one:
% 35.77/9.40 | (3226) all_0_116_116 = e11
% 35.77/9.40 |
% 35.77/9.40 | Combining equations (3253,3226) yields a new equation:
% 35.77/9.40 | (3221) e12 = e11
% 35.77/9.40 |
% 35.77/9.40 | Simplifying 3221 yields:
% 35.77/9.40 | (3222) e12 = e11
% 35.77/9.40 |
% 35.77/9.40 | Equations (3222) can reduce 208 to:
% 35.77/9.40 | (401) $false
% 35.77/9.40 |
% 35.77/9.40 |-The branch is then unsatisfiable
% 35.77/9.40 |-Branch two:
% 35.77/9.40 | (3230) ~ (all_0_116_116 = e11)
% 35.77/9.40 | (3246) all_0_117_117 = e11
% 35.77/9.40 |
% 35.77/9.40 | Combining equations (3433,3246) yields a new equation:
% 35.77/9.40 | (3206) e11 = e10
% 35.77/9.40 |
% 35.77/9.40 | Equations (3206) can reduce 138 to:
% 35.77/9.40 | (401) $false
% 35.77/9.40 |
% 35.77/9.40 |-The branch is then unsatisfiable
% 35.77/9.40 |-Branch two:
% 35.77/9.40 | (3332) ~ (all_0_121_121 = e12)
% 35.77/9.40 | (3333) all_0_121_121 = e11 | all_0_121_121 = e10
% 35.77/9.40 |
% 35.77/9.40 +-Applying beta-rule and splitting (3333), into two cases.
% 35.77/9.40 |-Branch one:
% 35.77/9.40 | (3345) all_0_121_121 = e11
% 35.77/9.40 |
% 35.77/9.40 | Equations (3345) can reduce 3233 to:
% 35.77/9.40 | (401) $false
% 35.77/9.40 |
% 35.77/9.40 |-The branch is then unsatisfiable
% 35.77/9.40 |-Branch two:
% 35.77/9.40 | (3233) ~ (all_0_121_121 = e11)
% 35.77/9.40 | (3438) all_0_121_121 = e10
% 35.77/9.40 |
% 35.77/9.40 | Equations (3438) can reduce 3536 to:
% 35.77/9.40 | (401) $false
% 35.77/9.40 |
% 35.77/9.40 |-The branch is then unsatisfiable
% 35.77/9.40 |-Branch two:
% 35.77/9.40 | (3256) ~ (all_0_116_116 = e12)
% 35.77/9.40 | (3257) all_0_117_117 = e12 | all_0_118_118 = e12
% 35.77/9.40 |
% 35.77/9.40 +-Applying beta-rule and splitting (111), into two cases.
% 35.77/9.40 |-Branch one:
% 35.77/9.40 | (3349) all_0_113_113 = e12
% 35.77/9.40 |
% 35.77/9.40 | Combining equations (3240,3349) yields a new equation:
% 35.77/9.40 | (3222) e12 = e11
% 35.77/9.40 |
% 35.77/9.40 | Equations (3222) can reduce 208 to:
% 35.77/9.40 | (401) $false
% 35.77/9.40 |
% 35.77/9.40 |-The branch is then unsatisfiable
% 35.77/9.40 |-Branch two:
% 35.77/9.40 | (3352) ~ (all_0_113_113 = e12)
% 35.77/9.40 | (4015) all_0_117_117 = e12 | all_0_121_121 = e12
% 35.77/9.40 |
% 35.77/9.40 +-Applying beta-rule and splitting (3198), into two cases.
% 35.77/9.40 |-Branch one:
% 35.77/9.40 | (3279) all_0_122_122 = e12
% 35.77/9.40 |
% 35.77/9.40 | Equations (3279) can reduce 3265 to:
% 35.77/9.40 | (401) $false
% 35.77/9.40 |
% 35.77/9.40 |-The branch is then unsatisfiable
% 35.77/9.40 |-Branch two:
% 35.77/9.40 | (3265) ~ (all_0_122_122 = e12)
% 35.77/9.40 | (3282) all_0_122_122 = e10
% 35.77/9.40 |
% 35.77/9.40 | Equations (3282) can reduce 262 to:
% 35.77/9.40 | (235) ~ (all_0_120_120 = e10)
% 35.77/9.40 |
% 35.77/9.40 +-Applying beta-rule and splitting (3640), into two cases.
% 35.77/9.40 |-Branch one:
% 35.77/9.40 | (3253) all_0_116_116 = e12
% 35.77/9.40 |
% 35.77/9.40 | Equations (3253) can reduce 3256 to:
% 35.77/9.40 | (401) $false
% 35.77/9.40 |
% 35.77/9.40 |-The branch is then unsatisfiable
% 35.77/9.40 |-Branch two:
% 35.77/9.40 | (3256) ~ (all_0_116_116 = e12)
% 35.77/9.40 | (3334) all_0_120_120 = e12
% 35.77/9.40 |
% 35.77/9.40 | Equations (3334) can reduce 333 to:
% 35.77/9.40 | (3652) ~ (all_0_121_121 = e12)
% 35.77/9.40 |
% 35.77/9.40 | Simplifying 3652 yields:
% 35.77/9.40 | (3332) ~ (all_0_121_121 = e12)
% 35.77/9.40 |
% 35.77/9.40 | Equations (3334) can reduce 235 to:
% 35.77/9.40 | (159) ~ (e12 = e10)
% 35.77/9.40 |
% 35.77/9.40 +-Applying beta-rule and splitting (51), into two cases.
% 35.77/9.40 |-Branch one:
% 35.77/9.40 | (3267) all_0_121_121 = e12
% 35.77/9.40 |
% 35.77/9.40 | Equations (3267) can reduce 3332 to:
% 35.77/9.40 | (401) $false
% 35.77/9.40 |
% 35.77/9.40 |-The branch is then unsatisfiable
% 35.77/9.40 |-Branch two:
% 35.77/9.40 | (3332) ~ (all_0_121_121 = e12)
% 35.77/9.40 | (3333) all_0_121_121 = e11 | all_0_121_121 = e10
% 35.77/9.40 |
% 35.77/9.40 +-Applying beta-rule and splitting (4015), into two cases.
% 35.77/9.40 |-Branch one:
% 35.77/9.40 | (3258) all_0_117_117 = e12
% 35.77/9.40 |
% 35.77/9.40 | Combining equations (3433,3258) yields a new equation:
% 35.77/9.40 | (3288) e12 = e10
% 35.77/9.40 |
% 35.77/9.40 | Equations (3288) can reduce 159 to:
% 35.77/9.40 | (401) $false
% 35.77/9.40 |
% 35.77/9.40 |-The branch is then unsatisfiable
% 35.77/9.40 |-Branch two:
% 35.77/9.40 | (3262) ~ (all_0_117_117 = e12)
% 35.77/9.40 | (3267) all_0_121_121 = e12
% 35.77/9.40 |
% 35.77/9.40 | Equations (3267) can reduce 3332 to:
% 35.77/9.40 | (401) $false
% 35.77/9.40 |
% 35.77/9.40 |-The branch is then unsatisfiable
% 35.77/9.40 |-Branch two:
% 35.77/9.40 | (3212) ~ (all_0_117_117 = e10)
% 35.77/9.40 | (3458) all_0_118_118 = e10
% 35.77/9.40 |
% 35.77/9.40 | Combining equations (3801,3458) yields a new equation:
% 35.77/9.40 | (3329) e13 = e10
% 35.77/9.40 |
% 35.77/9.40 | Simplifying 3329 yields:
% 35.77/9.40 | (3304) e13 = e10
% 35.77/9.41 |
% 35.77/9.41 | Equations (3304) can reduce 134 to:
% 35.77/9.41 | (401) $false
% 35.77/9.41 |
% 35.77/9.41 |-The branch is then unsatisfiable
% 35.77/9.41 |-Branch two:
% 35.77/9.41 | (3448) ~ (all_0_114_114 = e12)
% 35.77/9.41 | (3358) all_0_114_114 = e10
% 35.77/9.41 |
% 35.77/9.41 | Equations (3358) can reduce 3391 to:
% 35.77/9.41 | (401) $false
% 35.77/9.41 |
% 35.77/9.41 |-The branch is then unsatisfiable
% 35.77/9.41 |-Branch two:
% 35.77/9.41 | (3208) ~ (all_0_111_111 = e10)
% 35.77/9.41 | (3276) all_0_115_115 = e10 | all_0_119_119 = e10
% 35.77/9.41 |
% 35.77/9.41 +-Applying beta-rule and splitting (3276), into two cases.
% 35.77/9.41 |-Branch one:
% 35.77/9.41 | (3277) all_0_115_115 = e10
% 35.77/9.41 |
% 35.77/9.41 | Equations (3277) can reduce 3317 to:
% 35.77/9.41 | (401) $false
% 35.77/9.41 |
% 35.77/9.41 |-The branch is then unsatisfiable
% 35.77/9.41 |-Branch two:
% 35.77/9.41 | (3317) ~ (all_0_115_115 = e10)
% 35.77/9.41 | (3328) all_0_119_119 = e10
% 35.77/9.41 |
% 35.77/9.41 | Combining equations (3328,3155) yields a new equation:
% 35.77/9.41 | (3304) e13 = e10
% 35.77/9.41 |
% 35.77/9.41 | Equations (3304) can reduce 134 to:
% 35.77/9.41 | (401) $false
% 35.77/9.41 |
% 35.77/9.41 |-The branch is then unsatisfiable
% 35.77/9.41 |-Branch two:
% 35.77/9.41 | (3754) ~ (all_0_119_119 = e13)
% 35.77/9.41 | (3755) all_0_120_120 = e13 | all_0_122_122 = e13
% 35.77/9.41 |
% 35.77/9.41 +-Applying beta-rule and splitting (3772), into two cases.
% 35.77/9.41 |-Branch one:
% 35.77/9.41 | (3151) all_0_115_115 = e13
% 35.77/9.41 |
% 35.77/9.41 | Equations (3151) can reduce 3141 to:
% 35.77/9.41 | (401) $false
% 35.77/9.41 |
% 35.77/9.41 |-The branch is then unsatisfiable
% 35.77/9.41 |-Branch two:
% 35.77/9.41 | (3141) ~ (all_0_115_115 = e13)
% 35.77/9.41 | (3155) all_0_119_119 = e13
% 35.77/9.41 |
% 35.77/9.41 | Equations (3155) can reduce 3754 to:
% 35.77/9.41 | (401) $false
% 35.77/9.41 |
% 35.77/9.41 |-The branch is then unsatisfiable
% 35.77/9.41 |-Branch two:
% 35.77/9.41 | (3140) ~ (all_0_112_112 = e13)
% 35.77/9.41 | (3169) all_0_114_114 = e13
% 35.77/9.41 |
% 35.77/9.41 | Equations (3169) can reduce 3795 to:
% 35.77/9.41 | (401) $false
% 35.77/9.41 |
% 35.77/9.41 |-The branch is then unsatisfiable
% 35.77/9.41 |-Branch two:
% 35.77/9.41 | (484) ~ (all_0_103_103 = e21)
% 35.77/9.41 | (883) all_0_104_104 = e21 | all_0_105_105 = e21
% 35.77/9.41 |
% 35.77/9.41 +-Applying beta-rule and splitting (883), into two cases.
% 35.77/9.41 |-Branch one:
% 35.77/9.41 | (499) all_0_104_104 = e21
% 35.77/9.41 |
% 35.77/9.41 | Combining equations (1360,499) yields a new equation:
% 35.77/9.41 | (481) e23 = e21
% 35.77/9.41 |
% 35.77/9.41 | Simplifying 481 yields:
% 35.77/9.41 | (482) e23 = e21
% 35.77/9.41 |
% 35.77/9.41 | Equations (482) can reduce 279 to:
% 35.77/9.41 | (401) $false
% 35.77/9.41 |
% 35.77/9.41 |-The branch is then unsatisfiable
% 35.77/9.41 |-Branch two:
% 35.77/9.41 | (698) ~ (all_0_104_104 = e21)
% 35.77/9.41 | (692) all_0_105_105 = e21
% 35.77/9.41 |
% 35.77/9.41 | Combining equations (692,986) yields a new equation:
% 35.77/9.41 | (646) e21 = e20
% 35.77/9.41 |
% 35.77/9.41 | Simplifying 646 yields:
% 35.77/9.41 | (476) e21 = e20
% 35.77/9.41 |
% 35.77/9.41 | Equations (476) can reduce 280 to:
% 35.77/9.41 | (401) $false
% 35.77/9.41 |
% 35.77/9.41 |-The branch is then unsatisfiable
% 35.77/9.41 |-Branch two:
% 35.77/9.41 | (834) ~ (all_0_105_105 = e20)
% 35.77/9.41 | (529) all_0_106_106 = e20
% 35.77/9.41 |
% 35.77/9.41 | Combining equations (529,683) yields a new equation:
% 35.77/9.41 | (645) e22 = e20
% 35.77/9.41 |
% 35.77/9.41 | Equations (645) can reduce 304 to:
% 35.77/9.41 | (401) $false
% 35.77/9.41 |
% 35.77/9.41 |-The branch is then unsatisfiable
% 35.77/9.41 |-Branch two:
% 35.77/9.41 | (497) ~ (all_0_100_100 = e21)
% 35.77/9.41 | (526) all_0_101_101 = e21
% 35.77/9.41 |
% 35.77/9.41 | Combining equations (526,540) yields a new equation:
% 35.77/9.41 | (533) e22 = e21
% 35.77/9.41 |
% 35.77/9.41 | Equations (533) can reduce 28 to:
% 35.77/9.41 | (401) $false
% 35.77/9.41 |
% 35.77/9.41 |-The branch is then unsatisfiable
% 35.77/9.41 |-Branch two:
% 35.77/9.41 | (804) ~ (all_0_106_106 = e22)
% 35.77/9.41 | (1082) all_0_110_110 = e22
% 35.77/9.41 |
% 35.77/9.41 | Equations (1082) can reduce 1765 to:
% 35.77/9.41 | (401) $false
% 35.77/9.41 |
% 35.77/9.41 |-The branch is then unsatisfiable
% 35.77/9.41 |-Branch two:
% 35.77/9.41 | (719) ~ (all_0_99_99 = e20)
% 35.77/9.41 | (813) all_0_101_101 = e20 | all_0_102_102 = e20
% 35.77/9.41 |
% 35.77/9.41 +-Applying beta-rule and splitting (813), into two cases.
% 35.77/9.41 |-Branch one:
% 35.77/9.41 | (821) all_0_101_101 = e20
% 35.77/9.41 |
% 35.77/9.41 | Combining equations (540,821) yields a new equation:
% 35.77/9.41 | (644) e22 = e20
% 35.77/9.41 |
% 35.77/9.41 | Simplifying 644 yields:
% 35.77/9.41 | (645) e22 = e20
% 35.77/9.41 |
% 35.77/9.41 | Equations (645) can reduce 304 to:
% 35.77/9.41 | (401) $false
% 35.77/9.41 |
% 35.77/9.41 |-The branch is then unsatisfiable
% 35.77/9.41 |-Branch two:
% 35.77/9.41 | (1086) ~ (all_0_101_101 = e20)
% 35.77/9.41 | (515) all_0_102_102 = e20
% 35.77/9.41 |
% 35.77/9.41 | Combining equations (429,515) yields a new equation:
% 35.77/9.41 | (520) e23 = e20
% 35.77/9.41 |
% 35.77/9.41 | Simplifying 520 yields:
% 35.77/9.41 | (521) e23 = e20
% 35.77/9.41 |
% 35.77/9.41 | Equations (521) can reduce 44 to:
% 35.77/9.41 | (401) $false
% 35.77/9.41 |
% 35.77/9.41 |-The branch is then unsatisfiable
% 35.77/9.41 |-Branch two:
% 35.77/9.41 | (543) ~ (all_0_101_101 = e22)
% 35.77/9.41 | (544) all_0_102_102 = e22
% 35.77/9.41 |
% 35.77/9.41 | Combining equations (544,429) yields a new equation:
% 35.77/9.41 | (442) e23 = e22
% 35.77/9.41 |
% 35.77/9.41 | Equations (442) can reduce 108 to:
% 35.77/9.41 | (401) $false
% 35.77/9.41 |
% 35.77/9.41 |-The branch is then unsatisfiable
% 35.77/9.41 |-Branch two:
% 35.77/9.41 | (408) ~ (all_0_104_104 = e23)
% 35.77/9.41 | (421) all_0_108_108 = e23
% 35.77/9.41 |
% 35.77/9.41 | Equations (421) can reduce 410 to:
% 35.77/9.41 | (401) $false
% 35.77/9.41 |
% 35.77/9.41 |-The branch is then unsatisfiable
% 35.77/9.41 |-Branch two:
% 35.77/9.41 | (376) ~ (all_0_102_102 = e23)
% 35.77/9.41 | (6141) all_0_106_106 = e23 | all_0_110_110 = e23
% 35.77/9.41 |
% 35.77/9.41 +-Applying beta-rule and splitting (6141), into two cases.
% 35.77/9.41 |-Branch one:
% 35.77/9.41 | (437) all_0_106_106 = e23
% 35.77/9.41 |
% 35.77/9.41 | Equations (437) can reduce 227 to:
% 35.77/9.41 | (376) ~ (all_0_102_102 = e23)
% 35.77/9.41 |
% 35.77/9.41 | Equations (437) can reduce 109 to:
% 35.77/9.41 | (1358) ~ (all_0_103_103 = e23)
% 35.77/9.41 |
% 35.77/9.41 | Equations (437) can reduce 241 to:
% 35.77/9.41 | (355) ~ (all_0_105_105 = e23)
% 35.77/9.41 |
% 35.77/9.41 | Equations (437) can reduce 131 to:
% 35.77/9.41 | (2440) ~ (all_0_110_110 = e23)
% 35.77/9.41 |
% 35.77/9.41 | Simplifying 2440 yields:
% 35.77/9.41 | (1383) ~ (all_0_110_110 = e23)
% 35.77/9.41 |
% 35.77/9.41 | Equations (437) can reduce 358 to:
% 35.77/9.41 | (279) ~ (e23 = e21)
% 35.77/9.41 |
% 35.77/9.41 | From (437) and (191) follows:
% 35.77/9.42 | (6149) op2(e22, e20) = e23
% 35.77/9.42 |
% 35.77/9.42 +-Applying beta-rule and splitting (310), into two cases.
% 35.77/9.42 |-Branch one:
% 35.77/9.42 | (400) all_0_99_99 = e23
% 35.77/9.42 |
% 35.77/9.42 | Equations (400) can reduce 184 to:
% 35.77/9.42 | (6151) ~ (all_0_101_101 = e23)
% 35.77/9.42 |
% 35.77/9.42 | Simplifying 6151 yields:
% 35.77/9.42 | (3) ~ (all_0_101_101 = e23)
% 35.77/9.42 |
% 35.77/9.42 | Equations (400) can reduce 31 to:
% 35.77/9.42 | (405) ~ (all_0_102_102 = e23)
% 35.77/9.42 |
% 35.77/9.42 | Simplifying 405 yields:
% 35.77/9.42 | (376) ~ (all_0_102_102 = e23)
% 35.77/9.42 |
% 35.77/9.42 | Equations (400) can reduce 156 to:
% 35.77/9.42 | (1370) ~ (all_0_103_103 = e23)
% 35.77/9.42 |
% 35.77/9.42 | Simplifying 1370 yields:
% 35.77/9.42 | (1358) ~ (all_0_103_103 = e23)
% 35.77/9.42 |
% 35.77/9.42 | Equations (400) can reduce 4 to:
% 35.77/9.42 | (417) ~ (all_0_107_107 = e23)
% 35.77/9.42 |
% 35.77/9.42 | Simplifying 417 yields:
% 35.77/9.42 | (418) ~ (all_0_107_107 = e23)
% 35.77/9.42 |
% 35.77/9.42 +-Applying beta-rule and splitting (223), into two cases.
% 35.77/9.42 |-Branch one:
% 35.77/9.42 | (425) all_0_107_107 = e23
% 35.77/9.42 |
% 35.77/9.42 | Equations (425) can reduce 418 to:
% 35.77/9.42 | (401) $false
% 35.77/9.42 |
% 35.77/9.42 |-The branch is then unsatisfiable
% 35.77/9.42 |-Branch two:
% 35.77/9.42 | (418) ~ (all_0_107_107 = e23)
% 35.77/9.42 | (6162) all_0_108_108 = e23 | all_0_110_110 = e23
% 35.77/9.42 |
% 35.77/9.42 +-Applying beta-rule and splitting (6162), into two cases.
% 35.77/9.42 |-Branch one:
% 35.77/9.42 | (421) all_0_108_108 = e23
% 35.77/9.42 |
% 35.77/9.42 | Equations (421) can reduce 176 to:
% 35.77/9.42 | (1365) ~ (all_0_100_100 = e23)
% 35.77/9.42 |
% 35.77/9.42 | Equations (421) can reduce 214 to:
% 35.77/9.42 | (408) ~ (all_0_104_104 = e23)
% 35.77/9.42 |
% 35.77/9.42 | Equations (421) can reduce 221 to:
% 35.77/9.42 | (418) ~ (all_0_107_107 = e23)
% 35.77/9.42 |
% 35.77/9.42 | Equations (421) can reduce 346 to:
% 35.77/9.42 | (2440) ~ (all_0_110_110 = e23)
% 35.77/9.42 |
% 35.77/9.42 | Simplifying 2440 yields:
% 35.77/9.42 | (1383) ~ (all_0_110_110 = e23)
% 35.77/9.42 |
% 35.77/9.42 | Equations (421) can reduce 237 to:
% 35.77/9.42 | (44) ~ (e23 = e20)
% 35.77/9.42 |
% 35.77/9.42 | From (421) and (152) follows:
% 35.77/9.42 | (1414) op2(e20, e22) = e23
% 35.77/9.42 |
% 35.77/9.42 +-Applying beta-rule and splitting (27), into two cases.
% 35.77/9.42 |-Branch one:
% 35.77/9.42 | (425) all_0_107_107 = e23
% 35.77/9.42 |
% 35.77/9.42 | Equations (425) can reduce 418 to:
% 35.77/9.42 | (401) $false
% 35.77/9.42 |
% 35.77/9.42 |-The branch is then unsatisfiable
% 35.77/9.42 |-Branch two:
% 35.77/9.42 | (418) ~ (all_0_107_107 = e23)
% 35.77/9.42 | (428) all_0_107_107 = e21 | all_0_107_107 = e20
% 35.77/9.42 |
% 35.77/9.42 +-Applying beta-rule and splitting (90), into two cases.
% 35.77/9.42 |-Branch one:
% 35.77/9.42 | (1360) all_0_104_104 = e23
% 35.77/9.42 |
% 35.77/9.42 | Equations (1360) can reduce 408 to:
% 35.77/9.42 | (401) $false
% 35.77/9.42 |
% 35.77/9.42 |-The branch is then unsatisfiable
% 35.77/9.42 |-Branch two:
% 35.77/9.42 | (408) ~ (all_0_104_104 = e23)
% 35.77/9.42 | (1430) all_0_104_104 = e22 | all_0_104_104 = e21
% 35.77/9.42 |
% 35.77/9.42 +-Applying beta-rule and splitting (163), into two cases.
% 35.77/9.42 |-Branch one:
% 35.77/9.42 | (413) all_0_103_103 = e23
% 35.77/9.42 |
% 35.77/9.42 | Equations (413) can reduce 1358 to:
% 35.77/9.42 | (401) $false
% 35.77/9.42 |
% 35.77/9.42 |-The branch is then unsatisfiable
% 35.77/9.42 |-Branch two:
% 35.77/9.42 | (1358) ~ (all_0_103_103 = e23)
% 35.77/9.42 | (6182) all_0_103_103 = e21 | all_0_103_103 = e20
% 35.77/9.42 |
% 35.77/9.42 +-Applying beta-rule and splitting (154), into two cases.
% 35.77/9.42 |-Branch one:
% 35.77/9.42 | (404) all_0_100_100 = e23
% 35.77/9.42 |
% 35.77/9.42 | Equations (404) can reduce 1365 to:
% 35.77/9.42 | (401) $false
% 35.77/9.42 |
% 35.77/9.42 |-The branch is then unsatisfiable
% 35.77/9.42 |-Branch two:
% 35.77/9.42 | (1365) ~ (all_0_100_100 = e23)
% 35.77/9.42 | (1426) all_0_100_100 = e22 | all_0_100_100 = e21
% 35.77/9.42 |
% 35.77/9.42 +-Applying beta-rule and splitting (302), into two cases.
% 35.77/9.42 |-Branch one:
% 35.77/9.42 | (429) all_0_102_102 = e23
% 35.77/9.42 |
% 35.77/9.42 | Equations (429) can reduce 376 to:
% 35.77/9.42 | (401) $false
% 35.77/9.42 |
% 35.77/9.42 |-The branch is then unsatisfiable
% 35.77/9.42 |-Branch two:
% 35.77/9.42 | (376) ~ (all_0_102_102 = e23)
% 35.77/9.42 | (432) all_0_102_102 = e22 | all_0_102_102 = e20
% 35.77/9.42 |
% 35.77/9.42 +-Applying beta-rule and splitting (311), into two cases.
% 35.77/9.42 |-Branch one:
% 35.77/9.42 | (447) all_0_99_99 = e20
% 35.77/9.42 |
% 35.77/9.42 | Combining equations (447,400) yields a new equation:
% 35.77/9.42 | (521) e23 = e20
% 35.77/9.42 |
% 35.77/9.42 | Equations (521) can reduce 44 to:
% 35.77/9.42 | (401) $false
% 35.77/9.42 |
% 35.77/9.42 |-The branch is then unsatisfiable
% 35.77/9.42 |-Branch two:
% 35.77/9.42 | (719) ~ (all_0_99_99 = e20)
% 35.77/9.42 | (813) all_0_101_101 = e20 | all_0_102_102 = e20
% 35.77/9.42 |
% 35.77/9.42 +-Applying beta-rule and splitting (12), into two cases.
% 35.77/9.42 |-Branch one:
% 35.77/9.42 | (532) all_0_104_104 = e22
% 35.77/9.42 |
% 35.77/9.42 | Equations (532) can reduce 48 to:
% 35.77/9.42 | (444) ~ (all_0_100_100 = e22)
% 35.77/9.42 |
% 35.77/9.42 | Equations (532) can reduce 220 to:
% 35.77/9.42 | (106) ~ (all_0_103_103 = e22)
% 35.77/9.42 |
% 35.77/9.42 | Equations (532) can reduce 54 to:
% 35.77/9.42 | (1006) ~ (all_0_105_105 = e22)
% 35.77/9.42 |
% 35.77/9.42 | Simplifying 1006 yields:
% 35.77/9.42 | (682) ~ (all_0_105_105 = e22)
% 35.77/9.42 |
% 35.77/9.42 | Equations (532) can reduce 408 to:
% 35.77/9.42 | (805) ~ (e23 = e22)
% 35.77/9.42 |
% 35.77/9.42 | Simplifying 805 yields:
% 35.77/9.42 | (108) ~ (e23 = e22)
% 35.77/9.42 |
% 35.77/9.42 +-Applying beta-rule and splitting (283), into two cases.
% 35.77/9.42 |-Branch one:
% 35.77/9.42 | (494) all_0_100_100 = e21
% 35.77/9.42 |
% 35.77/9.42 | Equations (494) can reduce 75 to:
% 35.77/9.42 | (725) ~ (all_0_101_101 = e21)
% 35.77/9.42 |
% 35.77/9.42 | Simplifying 725 yields:
% 35.77/9.42 | (690) ~ (all_0_101_101 = e21)
% 35.77/9.42 |
% 35.77/9.42 | Equations (494) can reduce 1365 to:
% 35.77/9.42 | (486) ~ (e23 = e21)
% 35.77/9.42 |
% 35.77/9.42 | Simplifying 486 yields:
% 35.77/9.42 | (279) ~ (e23 = e21)
% 35.77/9.42 |
% 35.77/9.42 | Equations (494) can reduce 444 to:
% 35.77/9.42 | (488) ~ (e22 = e21)
% 35.77/9.42 |
% 35.77/9.42 | Simplifying 488 yields:
% 35.77/9.42 | (28) ~ (e22 = e21)
% 35.77/9.42 |
% 35.77/9.42 | From (494) and (230) follows:
% 35.77/9.42 | (2201) op2(e23, e22) = e21
% 35.77/9.42 |
% 35.77/9.42 +-Applying beta-rule and splitting (22), into two cases.
% 35.77/9.42 |-Branch one:
% 35.77/9.42 | (470) all_0_108_108 = e22
% 35.77/9.42 |
% 35.77/9.42 | Combining equations (421,470) yields a new equation:
% 35.77/9.42 | (796) e23 = e22
% 35.77/9.42 |
% 35.77/9.42 | Simplifying 796 yields:
% 35.77/9.42 | (442) e23 = e22
% 35.77/9.42 |
% 35.77/9.42 | Equations (442) can reduce 108 to:
% 35.77/9.42 | (401) $false
% 35.77/9.42 |
% 35.77/9.42 |-The branch is then unsatisfiable
% 35.77/9.42 |-Branch two:
% 35.77/9.42 | (703) ~ (all_0_108_108 = e22)
% 35.77/9.42 | (704) all_0_109_109 = e22 | all_0_110_110 = e22
% 35.77/9.42 |
% 35.77/9.42 +-Applying beta-rule and splitting (124), into two cases.
% 35.77/9.42 |-Branch one:
% 35.77/9.42 | (441) all_0_100_100 = e22
% 35.77/9.42 |
% 35.77/9.42 | Combining equations (494,441) yields a new equation:
% 35.77/9.42 | (533) e22 = e21
% 35.77/9.42 |
% 35.77/9.42 | Equations (533) can reduce 28 to:
% 35.77/9.42 | (401) $false
% 35.77/9.42 |
% 35.77/9.42 |-The branch is then unsatisfiable
% 35.77/9.42 |-Branch two:
% 35.77/9.42 | (444) ~ (all_0_100_100 = e22)
% 35.77/9.42 | (445) all_0_101_101 = e22 | all_0_102_102 = e22
% 35.77/9.42 |
% 35.77/9.42 +-Applying beta-rule and splitting (290), into two cases.
% 35.77/9.42 |-Branch one:
% 35.77/9.42 | (540) all_0_101_101 = e22
% 35.77/9.42 |
% 35.77/9.42 | Equations (540) can reduce 178 to:
% 35.77/9.42 | (1006) ~ (all_0_105_105 = e22)
% 35.77/9.42 |
% 35.77/9.42 | Simplifying 1006 yields:
% 35.77/9.42 | (682) ~ (all_0_105_105 = e22)
% 35.77/9.42 |
% 35.77/9.42 | Equations (540) can reduce 146 to:
% 35.77/9.42 | (854) ~ (all_0_109_109 = e22)
% 35.77/9.42 |
% 35.77/9.42 | Simplifying 854 yields:
% 35.77/9.42 | (855) ~ (all_0_109_109 = e22)
% 35.77/9.42 |
% 35.77/9.42 +-Applying beta-rule and splitting (704), into two cases.
% 35.77/9.42 |-Branch one:
% 35.77/9.42 | (857) all_0_109_109 = e22
% 35.77/9.42 |
% 35.77/9.42 | Equations (857) can reduce 855 to:
% 35.77/9.42 | (401) $false
% 35.77/9.42 |
% 35.77/9.42 |-The branch is then unsatisfiable
% 35.77/9.42 |-Branch two:
% 35.77/9.42 | (855) ~ (all_0_109_109 = e22)
% 35.77/9.42 | (1082) all_0_110_110 = e22
% 35.77/9.42 |
% 35.77/9.42 | Equations (1082) can reduce 293 to:
% 35.77/9.42 | (1091) ~ (all_0_102_102 = e22)
% 35.77/9.42 |
% 35.77/9.42 | Equations (1082) can reduce 179 to:
% 35.77/9.42 | (855) ~ (all_0_109_109 = e22)
% 35.77/9.42 |
% 35.77/9.42 | From (1082) and (309) follows:
% 35.77/9.42 | (1622) op2(all_0_97_97, e22) = all_0_74_74
% 35.77/9.42 |
% 35.77/9.42 | From (1082) and (52) follows:
% 35.77/9.42 | (1623) op2(all_0_98_98, e22) = all_0_85_85
% 35.77/9.42 |
% 35.77/9.42 | From (1082) and (359) follows:
% 35.77/9.42 | (1624) op2(e22, all_0_97_97) = all_0_68_68
% 35.77/9.42 |
% 35.77/9.42 | From (1082) and (69) follows:
% 35.77/9.42 | (1627) op2(e20, e22) = all_0_97_97
% 35.77/9.42 |
% 35.77/9.42 | From (1082) and (340) follows:
% 35.77/9.42 | (1628) op2(e20, e20) = e22
% 35.77/9.42 |
% 35.77/9.42 +-Applying beta-rule and splitting (354), into two cases.
% 35.77/9.42 |-Branch one:
% 35.77/9.42 | (515) all_0_102_102 = e20
% 35.77/9.42 |
% 35.77/9.42 | Equations (515) can reduce 376 to:
% 35.77/9.42 | (452) ~ (e23 = e20)
% 35.77/9.42 |
% 35.77/9.42 | Simplifying 452 yields:
% 35.77/9.42 | (44) ~ (e23 = e20)
% 35.77/9.42 |
% 35.77/9.42 | Instantiating formula (312) with e20, e22, all_0_97_97, e23 and discharging atoms op2(e20, e22) = all_0_97_97, op2(e20, e22) = e23, yields:
% 35.77/9.42 | (1646) all_0_97_97 = e23
% 35.77/9.42 |
% 35.77/9.42 | From (1646) and (1622) follows:
% 35.77/9.42 | (1655) op2(e23, e22) = all_0_74_74
% 35.77/9.42 |
% 35.77/9.42 | From (1646) and (110) follows:
% 35.77/9.42 | (1657) op2(all_0_98_98, e23) = all_0_87_87
% 35.77/9.42 |
% 35.77/9.42 | From (1646) and (1624) follows:
% 35.77/9.42 | (1659) op2(e22, e23) = all_0_68_68
% 35.77/9.42 |
% 35.77/9.42 | From (1646) and (240) follows:
% 35.77/9.42 | (1663) op2(e20, e23) = all_0_98_98
% 35.77/9.42 |
% 35.77/9.42 | From (1646) and (1627) follows:
% 35.77/9.42 | (1414) op2(e20, e22) = e23
% 35.77/9.42 |
% 35.77/9.42 | Instantiating formula (312) with e23, e22, all_0_74_74, e21 and discharging atoms op2(e23, e22) = all_0_74_74, op2(e23, e22) = e21, yields:
% 35.77/9.42 | (2261) all_0_74_74 = e21
% 35.77/9.42 |
% 35.77/9.42 | Instantiating formula (312) with e22, e23, all_0_68_68, all_0_103_103 and discharging atoms op2(e22, e23) = all_0_68_68, op2(e22, e23) = all_0_103_103, yields:
% 35.77/9.42 | (6248) all_0_68_68 = all_0_103_103
% 35.77/9.42 |
% 35.77/9.42 | Instantiating formula (312) with e20, e23, all_0_98_98, all_0_107_107 and discharging atoms op2(e20, e23) = all_0_98_98, op2(e20, e23) = all_0_107_107, yields:
% 35.77/9.42 | (6249) all_0_98_98 = all_0_107_107
% 35.77/9.42 |
% 35.77/9.42 | From (6249)(6249) and (263) follows:
% 35.77/9.42 | (6250) op2(all_0_107_107, all_0_107_107) = all_0_91_91
% 35.77/9.42 |
% 35.77/9.42 | From (6249) and (1657) follows:
% 35.77/9.42 | (6251) op2(all_0_107_107, e23) = all_0_87_87
% 35.77/9.42 |
% 35.77/9.42 | From (6249) and (1623) follows:
% 35.77/9.42 | (6252) op2(all_0_107_107, e22) = all_0_85_85
% 35.77/9.42 |
% 35.77/9.42 | From (2261) and (1655) follows:
% 35.77/9.42 | (2201) op2(e23, e22) = e21
% 35.77/9.42 |
% 35.77/9.42 | From (6248) and (1659) follows:
% 35.77/9.42 | (80) op2(e22, e23) = all_0_103_103
% 35.77/9.42 |
% 35.77/9.42 | From (6249) and (1663) follows:
% 35.77/9.42 | (120) op2(e20, e23) = all_0_107_107
% 35.77/9.42 |
% 35.77/9.42 +-Applying beta-rule and splitting (266), into two cases.
% 35.77/9.42 |-Branch one:
% 35.77/9.42 | (447) all_0_99_99 = e20
% 35.77/9.42 |
% 35.77/9.42 | Combining equations (400,447) yields a new equation:
% 35.77/9.42 | (520) e23 = e20
% 35.77/9.42 |
% 35.77/9.42 | Simplifying 520 yields:
% 35.77/9.42 | (521) e23 = e20
% 35.77/9.42 |
% 35.77/9.42 | Equations (521) can reduce 44 to:
% 35.77/9.42 | (401) $false
% 35.77/9.42 |
% 35.77/9.42 |-The branch is then unsatisfiable
% 35.77/9.42 |-Branch two:
% 35.77/9.42 | (719) ~ (all_0_99_99 = e20)
% 35.77/9.42 | (720) all_0_103_103 = e20 | all_0_107_107 = e20
% 35.77/9.42 |
% 35.77/9.42 +-Applying beta-rule and splitting (67), into two cases.
% 35.77/9.42 |-Branch one:
% 35.77/9.42 | (460) all_0_107_107 = e20
% 35.77/9.42 |
% 35.77/9.42 | Equations (460) can reduce 166 to:
% 35.77/9.42 | (523) ~ (all_0_103_103 = e20)
% 35.77/9.42 |
% 35.77/9.42 | Equations (460) can reduce 418 to:
% 35.77/9.42 | (452) ~ (e23 = e20)
% 35.77/9.42 |
% 35.77/9.42 | Simplifying 452 yields:
% 35.77/9.42 | (44) ~ (e23 = e20)
% 35.77/9.42 |
% 35.77/9.42 | From (460) and (6251) follows:
% 35.77/9.42 | (1992) op2(e20, e23) = all_0_87_87
% 35.77/9.42 |
% 35.77/9.42 | From (460) and (6252) follows:
% 35.77/9.42 | (1993) op2(e20, e22) = all_0_85_85
% 35.77/9.42 |
% 35.77/9.42 | From (460) and (120) follows:
% 35.77/9.43 | (1896) op2(e20, e23) = e20
% 35.77/9.43 |
% 35.77/9.43 +-Applying beta-rule and splitting (242), into two cases.
% 35.77/9.43 |-Branch one:
% 35.77/9.43 | (519) all_0_103_103 = e20
% 35.77/9.43 |
% 35.77/9.43 | Equations (519) can reduce 523 to:
% 35.77/9.43 | (401) $false
% 35.77/9.43 |
% 35.77/9.43 |-The branch is then unsatisfiable
% 35.77/9.43 |-Branch two:
% 35.77/9.43 | (523) ~ (all_0_103_103 = e20)
% 35.77/9.43 | (524) all_0_105_105 = e20 | all_0_106_106 = e20
% 35.77/9.43 |
% 35.77/9.43 +-Applying beta-rule and splitting (524), into two cases.
% 35.77/9.43 |-Branch one:
% 35.77/9.43 | (986) all_0_105_105 = e20
% 35.77/9.43 |
% 35.77/9.43 | Equations (986) can reduce 144 to:
% 35.77/9.43 | (523) ~ (all_0_103_103 = e20)
% 35.77/9.43 |
% 35.77/9.43 +-Applying beta-rule and splitting (6182), into two cases.
% 35.77/9.43 |-Branch one:
% 35.77/9.43 | (519) all_0_103_103 = e20
% 35.77/9.43 |
% 35.77/9.43 | Equations (519) can reduce 523 to:
% 35.77/9.43 | (401) $false
% 35.77/9.43 |
% 35.77/9.43 |-The branch is then unsatisfiable
% 35.77/9.43 |-Branch two:
% 35.77/9.43 | (523) ~ (all_0_103_103 = e20)
% 35.77/9.43 | (480) all_0_103_103 = e21
% 35.77/9.43 |
% 35.77/9.43 | Equations (480) can reduce 106 to:
% 35.77/9.43 | (488) ~ (e22 = e21)
% 35.77/9.43 |
% 35.77/9.43 | Simplifying 488 yields:
% 35.77/9.43 | (28) ~ (e22 = e21)
% 35.77/9.43 |
% 35.77/9.43 | Equations (480) can reduce 523 to:
% 35.77/9.43 | (280) ~ (e21 = e20)
% 35.77/9.43 |
% 35.77/9.43 | From (480) and (80) follows:
% 35.77/9.43 | (2703) op2(e22, e23) = e21
% 35.77/9.43 |
% 35.77/9.43 | Instantiating formula (312) with e20, e23, e20, all_0_87_87 and discharging atoms op2(e20, e23) = all_0_87_87, op2(e20, e23) = e20, yields:
% 35.77/9.43 | (2013) all_0_87_87 = e20
% 35.77/9.43 |
% 35.77/9.43 | Instantiating formula (312) with e20, e22, all_0_85_85, e23 and discharging atoms op2(e20, e22) = all_0_85_85, op2(e20, e22) = e23, yields:
% 35.77/9.43 | (2011) all_0_85_85 = e23
% 35.77/9.43 |
% 35.77/9.43 | From (2013) and (1992) follows:
% 35.77/9.43 | (1896) op2(e20, e23) = e20
% 35.77/9.43 |
% 35.77/9.43 | From (2011) and (1993) follows:
% 35.77/9.43 | (1414) op2(e20, e22) = e23
% 35.77/9.43 |
% 35.77/9.43 +-Applying beta-rule and splitting (277), into two cases.
% 35.77/9.43 |-Branch one:
% 35.77/9.43 | (637) unit2 = e23
% 35.77/9.43 |
% 35.77/9.43 | From (637) and (105) follows:
% 35.77/9.43 | (640) op2(e21, e23) = e21
% 35.77/9.43 |
% 35.77/9.43 | Instantiating formula (312) with e21, e23, e21, e22 and discharging atoms op2(e21, e23) = e22, op2(e21, e23) = e21, yields:
% 35.77/9.43 | (533) e22 = e21
% 35.77/9.43 |
% 35.77/9.43 | Equations (533) can reduce 28 to:
% 35.77/9.43 | (401) $false
% 35.77/9.43 |
% 35.77/9.43 |-The branch is then unsatisfiable
% 35.77/9.43 |-Branch two:
% 35.77/9.43 | (649) ~ (unit2 = e23)
% 35.77/9.43 | (650) unit2 = e22 | unit2 = e21 | unit2 = e20
% 35.77/9.43 |
% 35.77/9.43 +-Applying beta-rule and splitting (650), into two cases.
% 35.77/9.43 |-Branch one:
% 35.77/9.43 | (651) unit2 = e22
% 35.77/9.43 |
% 35.77/9.43 | From (651) and (299) follows:
% 35.77/9.43 | (420) op2(e22, e23) = e23
% 35.77/9.43 |
% 35.77/9.43 | From (651) and (202) follows:
% 35.77/9.43 | (653) op2(e20, e22) = e20
% 35.77/9.43 |
% 35.77/9.43 | Instantiating formula (312) with e22, e23, e23, e21 and discharging atoms op2(e22, e23) = e23, op2(e22, e23) = e21, yields:
% 35.77/9.43 | (482) e23 = e21
% 35.77/9.43 |
% 35.77/9.43 | Instantiating formula (312) with e20, e22, e20, e23 and discharging atoms op2(e20, e22) = e23, op2(e20, e22) = e20, yields:
% 35.77/9.43 | (521) e23 = e20
% 35.77/9.43 |
% 35.77/9.43 | Combining equations (521,482) yields a new equation:
% 35.77/9.43 | (476) e21 = e20
% 35.77/9.43 |
% 35.77/9.43 | Equations (476) can reduce 280 to:
% 35.77/9.43 | (401) $false
% 35.77/9.43 |
% 35.77/9.43 |-The branch is then unsatisfiable
% 35.77/9.43 |-Branch two:
% 35.77/9.43 | (658) ~ (unit2 = e22)
% 35.77/9.43 | (659) unit2 = e21 | unit2 = e20
% 35.77/9.43 |
% 35.77/9.43 +-Applying beta-rule and splitting (659), into two cases.
% 35.77/9.43 |-Branch one:
% 35.77/9.43 | (660) unit2 = e20
% 35.77/9.43 |
% 35.77/9.43 | Equations (660) can reduce 658 to:
% 35.77/9.43 | (751) ~ (e22 = e20)
% 35.77/9.43 |
% 35.77/9.43 | Simplifying 751 yields:
% 35.77/9.43 | (304) ~ (e22 = e20)
% 35.77/9.43 |
% 35.77/9.43 | From (660) and (299) follows:
% 35.77/9.43 | (661) op2(e20, e23) = e23
% 35.77/9.43 |
% 35.77/9.43 | From (660) and (23) follows:
% 35.77/9.43 | (474) op2(e20, e22) = e22
% 35.77/9.43 |
% 35.77/9.43 | Instantiating formula (312) with e20, e23, e23, e20 and discharging atoms op2(e20, e23) = e23, op2(e20, e23) = e20, yields:
% 35.77/9.43 | (521) e23 = e20
% 35.77/9.43 |
% 35.77/9.43 | Instantiating formula (312) with e20, e22, e22, e23 and discharging atoms op2(e20, e22) = e23, op2(e20, e22) = e22, yields:
% 35.77/9.43 | (442) e23 = e22
% 35.77/9.43 |
% 35.77/9.43 | Combining equations (442,521) yields a new equation:
% 35.77/9.43 | (644) e22 = e20
% 35.77/9.43 |
% 35.77/9.43 | Simplifying 644 yields:
% 35.77/9.43 | (645) e22 = e20
% 35.77/9.43 |
% 35.77/9.43 | Equations (645) can reduce 304 to:
% 35.77/9.43 | (401) $false
% 35.77/9.43 |
% 35.77/9.43 |-The branch is then unsatisfiable
% 35.77/9.43 |-Branch two:
% 35.77/9.43 | (668) ~ (unit2 = e20)
% 35.77/9.43 | (669) unit2 = e21
% 35.77/9.43 |
% 35.77/9.43 | Equations (669) can reduce 668 to:
% 35.77/9.43 | (280) ~ (e21 = e20)
% 35.77/9.43 |
% 35.77/9.43 | From (669) and (299) follows:
% 35.77/9.43 | (671) op2(e21, e23) = e23
% 35.77/9.43 |
% 35.77/9.43 | From (669) and (23) follows:
% 35.77/9.43 | (672) op2(e21, e22) = e22
% 35.77/9.43 |
% 35.77/9.43 | From (669) and (105) follows:
% 35.77/9.43 | (673) op2(e21, e21) = e21
% 35.77/9.43 |
% 35.77/9.43 | Instantiating formula (312) with e21, e23, e23, e22 and discharging atoms op2(e21, e23) = e23, op2(e21, e23) = e22, yields:
% 35.77/9.43 | (442) e23 = e22
% 35.77/9.43 |
% 35.77/9.43 | Instantiating formula (312) with e21, e22, e22, e20 and discharging atoms op2(e21, e22) = e22, op2(e21, e22) = e20, yields:
% 35.77/9.43 | (645) e22 = e20
% 35.77/9.43 |
% 35.77/9.43 | Instantiating formula (312) with e21, e21, e21, e23 and discharging atoms op2(e21, e21) = e23, op2(e21, e21) = e21, yields:
% 35.77/9.43 | (482) e23 = e21
% 35.77/9.43 |
% 35.77/9.43 | Combining equations (442,482) yields a new equation:
% 35.77/9.43 | (677) e22 = e21
% 35.77/9.43 |
% 35.77/9.43 | Simplifying 677 yields:
% 35.77/9.43 | (533) e22 = e21
% 35.77/9.43 |
% 35.77/9.43 | Combining equations (533,645) yields a new equation:
% 35.77/9.43 | (646) e21 = e20
% 35.77/9.43 |
% 35.77/9.43 | Simplifying 646 yields:
% 35.77/9.43 | (476) e21 = e20
% 35.77/9.43 |
% 35.77/9.43 | Equations (476) can reduce 280 to:
% 35.77/9.43 | (401) $false
% 35.77/9.43 |
% 35.77/9.43 |-The branch is then unsatisfiable
% 35.77/9.43 |-Branch two:
% 35.77/9.43 | (834) ~ (all_0_105_105 = e20)
% 35.77/9.43 | (529) all_0_106_106 = e20
% 35.77/9.43 |
% 35.77/9.43 | Combining equations (437,529) yields a new equation:
% 35.77/9.43 | (520) e23 = e20
% 35.77/9.43 |
% 35.77/9.43 | Simplifying 520 yields:
% 35.77/9.43 | (521) e23 = e20
% 35.77/9.43 |
% 35.77/9.43 | Equations (521) can reduce 44 to:
% 35.77/9.43 | (401) $false
% 35.77/9.43 |
% 35.77/9.43 |-The branch is then unsatisfiable
% 35.77/9.43 |-Branch two:
% 35.77/9.43 | (451) ~ (all_0_107_107 = e20)
% 35.77/9.43 | (463) all_0_109_109 = e20 | all_0_110_110 = e20
% 35.77/9.43 |
% 35.77/9.43 +-Applying beta-rule and splitting (428), into two cases.
% 35.77/9.43 |-Branch one:
% 35.77/9.43 | (460) all_0_107_107 = e20
% 35.77/9.43 |
% 35.77/9.43 | Equations (460) can reduce 451 to:
% 35.77/9.43 | (401) $false
% 35.77/9.43 |
% 35.77/9.43 |-The branch is then unsatisfiable
% 35.77/9.43 |-Branch two:
% 35.77/9.43 | (451) ~ (all_0_107_107 = e20)
% 35.77/9.43 | (485) all_0_107_107 = e21
% 35.77/9.43 |
% 35.77/9.43 | Equations (485) can reduce 317 to:
% 35.77/9.43 | (1540) ~ (all_0_109_109 = e21)
% 35.77/9.43 |
% 35.77/9.43 | Simplifying 1540 yields:
% 35.77/9.43 | (1541) ~ (all_0_109_109 = e21)
% 35.77/9.43 |
% 35.77/9.43 | Equations (485) can reduce 451 to:
% 35.77/9.43 | (280) ~ (e21 = e20)
% 35.77/9.43 |
% 35.77/9.43 | From (485)(485) and (6250) follows:
% 35.77/9.43 | (1678) op2(e21, e21) = all_0_91_91
% 35.77/9.43 |
% 35.77/9.43 | From (485) and (6251) follows:
% 35.77/9.43 | (1679) op2(e21, e23) = all_0_87_87
% 35.77/9.43 |
% 35.77/9.43 | From (485) and (6252) follows:
% 35.77/9.43 | (1680) op2(e21, e22) = all_0_85_85
% 35.77/9.43 |
% 35.77/9.43 | From (485) and (120) follows:
% 35.77/9.43 | (493) op2(e20, e23) = e21
% 35.77/9.43 |
% 35.77/9.43 +-Applying beta-rule and splitting (720), into two cases.
% 35.77/9.43 |-Branch one:
% 35.77/9.43 | (519) all_0_103_103 = e20
% 35.77/9.43 |
% 35.77/9.43 | From (519) and (80) follows:
% 35.77/9.43 | (2555) op2(e22, e23) = e20
% 35.77/9.43 |
% 35.77/9.43 +-Applying beta-rule and splitting (13), into two cases.
% 35.77/9.43 |-Branch one:
% 35.77/9.43 | (857) all_0_109_109 = e22
% 35.77/9.43 |
% 35.77/9.43 | Equations (857) can reduce 855 to:
% 35.77/9.43 | (401) $false
% 35.77/9.43 |
% 35.77/9.43 |-The branch is then unsatisfiable
% 35.77/9.43 |-Branch two:
% 35.77/9.43 | (855) ~ (all_0_109_109 = e22)
% 35.77/9.43 | (860) all_0_109_109 = e21 | all_0_109_109 = e20
% 35.77/9.43 |
% 35.77/9.43 +-Applying beta-rule and splitting (860), into two cases.
% 35.77/9.43 |-Branch one:
% 35.77/9.43 | (464) all_0_109_109 = e20
% 35.77/9.43 |
% 35.77/9.43 | Equations (464) can reduce 245 to:
% 35.77/9.43 | (834) ~ (all_0_105_105 = e20)
% 35.77/9.43 |
% 35.77/9.43 +-Applying beta-rule and splitting (341), into two cases.
% 35.77/9.43 |-Branch one:
% 35.77/9.43 | (537) all_0_105_105 = e22
% 35.77/9.43 |
% 35.77/9.43 | Equations (537) can reduce 682 to:
% 35.77/9.43 | (401) $false
% 35.77/9.43 |
% 35.77/9.43 |-The branch is then unsatisfiable
% 35.77/9.43 |-Branch two:
% 35.77/9.43 | (682) ~ (all_0_105_105 = e22)
% 35.77/9.43 | (969) all_0_105_105 = e21 | all_0_105_105 = e20
% 35.77/9.43 |
% 35.77/9.43 +-Applying beta-rule and splitting (969), into two cases.
% 35.77/9.43 |-Branch one:
% 35.77/9.43 | (986) all_0_105_105 = e20
% 35.77/9.43 |
% 35.77/9.43 | Equations (986) can reduce 834 to:
% 35.77/9.43 | (401) $false
% 35.77/9.43 |
% 35.77/9.43 |-The branch is then unsatisfiable
% 35.77/9.43 |-Branch two:
% 35.77/9.43 | (834) ~ (all_0_105_105 = e20)
% 35.77/9.43 | (692) all_0_105_105 = e21
% 35.77/9.43 |
% 35.77/9.43 | Equations (692) can reduce 834 to:
% 35.77/9.43 | (280) ~ (e21 = e20)
% 35.77/9.43 |
% 35.77/9.43 | Instantiating formula (312) with e21, e23, all_0_87_87, e22 and discharging atoms op2(e21, e23) = all_0_87_87, op2(e21, e23) = e22, yields:
% 35.77/9.43 | (1690) all_0_87_87 = e22
% 35.77/9.43 |
% 35.77/9.43 | Instantiating formula (312) with e21, e22, all_0_85_85, e20 and discharging atoms op2(e21, e22) = all_0_85_85, op2(e21, e22) = e20, yields:
% 35.77/9.43 | (1691) all_0_85_85 = e20
% 35.77/9.43 |
% 35.77/9.43 | Instantiating formula (312) with e21, e21, all_0_91_91, e23 and discharging atoms op2(e21, e21) = all_0_91_91, op2(e21, e21) = e23, yields:
% 35.77/9.43 | (596) all_0_91_91 = e23
% 35.77/9.43 |
% 35.77/9.43 | From (1690) and (1679) follows:
% 35.77/9.43 | (89) op2(e21, e23) = e22
% 35.77/9.43 |
% 35.77/9.43 | From (1691) and (1680) follows:
% 35.77/9.43 | (151) op2(e21, e22) = e20
% 35.77/9.43 |
% 35.77/9.43 | From (596) and (1678) follows:
% 35.77/9.43 | (224) op2(e21, e21) = e23
% 35.77/9.43 |
% 35.77/9.43 +-Applying beta-rule and splitting (277), into two cases.
% 35.77/9.43 |-Branch one:
% 35.77/9.43 | (637) unit2 = e23
% 35.77/9.43 |
% 35.77/9.43 | From (637) and (334) follows:
% 35.77/9.43 | (639) op2(e22, e23) = e22
% 35.77/9.43 |
% 35.77/9.43 | From (637) and (105) follows:
% 35.77/9.43 | (640) op2(e21, e23) = e21
% 35.77/9.43 |
% 35.77/9.43 | Instantiating formula (312) with e22, e23, e22, e20 and discharging atoms op2(e22, e23) = e22, op2(e22, e23) = e20, yields:
% 35.77/9.43 | (645) e22 = e20
% 35.77/9.43 |
% 35.77/9.43 | Instantiating formula (312) with e21, e23, e21, e22 and discharging atoms op2(e21, e23) = e22, op2(e21, e23) = e21, yields:
% 35.77/9.43 | (533) e22 = e21
% 35.77/9.43 |
% 35.77/9.43 | Combining equations (645,533) yields a new equation:
% 35.77/9.43 | (476) e21 = e20
% 35.77/9.43 |
% 35.77/9.43 | Equations (476) can reduce 280 to:
% 35.77/9.43 | (401) $false
% 35.77/9.43 |
% 35.77/9.43 |-The branch is then unsatisfiable
% 35.77/9.43 |-Branch two:
% 35.77/9.43 | (649) ~ (unit2 = e23)
% 35.77/9.43 | (650) unit2 = e22 | unit2 = e21 | unit2 = e20
% 35.77/9.43 |
% 35.77/9.43 +-Applying beta-rule and splitting (650), into two cases.
% 35.77/9.43 |-Branch one:
% 35.77/9.43 | (651) unit2 = e22
% 35.77/9.43 |
% 35.77/9.43 | From (651) and (38) follows:
% 35.77/9.43 | (412) op2(e23, e22) = e23
% 35.77/9.43 |
% 35.77/9.43 | From (651) and (202) follows:
% 35.77/9.43 | (653) op2(e20, e22) = e20
% 35.77/9.43 |
% 35.77/9.43 | Instantiating formula (312) with e23, e22, e23, e21 and discharging atoms op2(e23, e22) = e23, op2(e23, e22) = e21, yields:
% 35.77/9.43 | (482) e23 = e21
% 35.77/9.43 |
% 35.77/9.43 | Instantiating formula (312) with e20, e22, e20, e23 and discharging atoms op2(e20, e22) = e23, op2(e20, e22) = e20, yields:
% 35.77/9.43 | (521) e23 = e20
% 35.77/9.43 |
% 35.77/9.43 | Combining equations (521,482) yields a new equation:
% 35.77/9.43 | (476) e21 = e20
% 35.77/9.43 |
% 35.77/9.43 | Equations (476) can reduce 280 to:
% 35.77/9.43 | (401) $false
% 35.77/9.43 |
% 35.77/9.43 |-The branch is then unsatisfiable
% 35.77/9.43 |-Branch two:
% 35.77/9.43 | (658) ~ (unit2 = e22)
% 35.77/9.43 | (659) unit2 = e21 | unit2 = e20
% 35.77/9.43 |
% 35.77/9.43 +-Applying beta-rule and splitting (659), into two cases.
% 35.77/9.43 |-Branch one:
% 35.77/9.43 | (660) unit2 = e20
% 35.77/9.43 |
% 35.77/9.43 | From (660) and (299) follows:
% 35.77/9.43 | (661) op2(e20, e23) = e23
% 35.77/9.43 |
% 35.77/9.43 | From (660) and (23) follows:
% 35.77/9.43 | (474) op2(e20, e22) = e22
% 35.77/9.43 |
% 35.77/9.43 | From (660) and (202) follows:
% 35.77/9.43 | (662) op2(e20, e20) = e20
% 35.77/9.43 |
% 35.77/9.43 | Instantiating formula (312) with e20, e23, e23, e21 and discharging atoms op2(e20, e23) = e23, op2(e20, e23) = e21, yields:
% 35.77/9.43 | (482) e23 = e21
% 35.77/9.43 |
% 35.77/9.43 | Instantiating formula (312) with e20, e22, e22, e23 and discharging atoms op2(e20, e22) = e23, op2(e20, e22) = e22, yields:
% 35.77/9.43 | (442) e23 = e22
% 35.77/9.43 |
% 35.77/9.43 | Instantiating formula (312) with e20, e20, e20, e22 and discharging atoms op2(e20, e20) = e22, op2(e20, e20) = e20, yields:
% 35.77/9.43 | (645) e22 = e20
% 35.77/9.43 |
% 35.77/9.43 | Combining equations (442,482) yields a new equation:
% 35.77/9.43 | (677) e22 = e21
% 35.77/9.43 |
% 35.77/9.43 | Simplifying 677 yields:
% 35.77/9.43 | (533) e22 = e21
% 35.77/9.43 |
% 35.77/9.43 | Combining equations (533,645) yields a new equation:
% 35.77/9.43 | (646) e21 = e20
% 35.77/9.43 |
% 35.77/9.43 | Simplifying 646 yields:
% 35.77/9.43 | (476) e21 = e20
% 35.77/9.43 |
% 35.77/9.43 | Equations (476) can reduce 280 to:
% 35.77/9.43 | (401) $false
% 35.77/9.43 |
% 35.77/9.43 |-The branch is then unsatisfiable
% 35.77/9.43 |-Branch two:
% 35.77/9.43 | (668) ~ (unit2 = e20)
% 35.77/9.43 | (669) unit2 = e21
% 35.77/9.43 |
% 35.77/9.43 | Equations (669) can reduce 668 to:
% 35.77/9.43 | (280) ~ (e21 = e20)
% 35.77/9.43 |
% 35.77/9.43 | From (669) and (299) follows:
% 35.77/9.43 | (671) op2(e21, e23) = e23
% 35.77/9.43 |
% 35.77/9.43 | From (669) and (23) follows:
% 35.77/9.43 | (672) op2(e21, e22) = e22
% 35.77/9.43 |
% 35.77/9.43 | From (669) and (105) follows:
% 35.77/9.43 | (673) op2(e21, e21) = e21
% 35.77/9.43 |
% 35.77/9.43 | Instantiating formula (312) with e21, e23, e23, e22 and discharging atoms op2(e21, e23) = e23, op2(e21, e23) = e22, yields:
% 35.77/9.43 | (442) e23 = e22
% 35.77/9.43 |
% 35.77/9.43 | Instantiating formula (312) with e21, e22, e22, e20 and discharging atoms op2(e21, e22) = e22, op2(e21, e22) = e20, yields:
% 35.77/9.43 | (645) e22 = e20
% 35.77/9.43 |
% 35.77/9.43 | Instantiating formula (312) with e21, e21, e21, e23 and discharging atoms op2(e21, e21) = e23, op2(e21, e21) = e21, yields:
% 35.77/9.43 | (482) e23 = e21
% 35.77/9.43 |
% 35.77/9.43 | Combining equations (482,442) yields a new equation:
% 35.77/9.43 | (533) e22 = e21
% 35.77/9.43 |
% 35.77/9.43 | Combining equations (533,645) yields a new equation:
% 35.77/9.43 | (646) e21 = e20
% 35.77/9.43 |
% 35.77/9.43 | Simplifying 646 yields:
% 35.77/9.43 | (476) e21 = e20
% 35.77/9.43 |
% 35.77/9.43 | Equations (476) can reduce 280 to:
% 35.77/9.43 | (401) $false
% 35.77/9.43 |
% 35.77/9.43 |-The branch is then unsatisfiable
% 35.77/9.43 |-Branch two:
% 35.77/9.43 | (715) ~ (all_0_109_109 = e20)
% 35.77/9.43 | (695) all_0_109_109 = e21
% 35.77/9.43 |
% 35.77/9.43 | Equations (695) can reduce 1541 to:
% 35.77/9.43 | (401) $false
% 35.77/9.43 |
% 35.77/9.43 |-The branch is then unsatisfiable
% 35.77/9.43 |-Branch two:
% 35.77/9.43 | (523) ~ (all_0_103_103 = e20)
% 35.77/9.43 | (460) all_0_107_107 = e20
% 35.77/9.43 |
% 35.77/9.43 | Combining equations (460,485) yields a new equation:
% 35.77/9.43 | (476) e21 = e20
% 35.77/9.43 |
% 35.77/9.43 | Equations (476) can reduce 280 to:
% 35.77/9.43 | (401) $false
% 35.77/9.43 |
% 35.77/9.43 |-The branch is then unsatisfiable
% 35.77/9.43 |-Branch two:
% 35.77/9.43 | (449) ~ (all_0_102_102 = e20)
% 35.77/9.43 | (518) all_0_106_106 = e20 | all_0_110_110 = e20
% 35.77/9.44 |
% 35.77/9.44 +-Applying beta-rule and splitting (432), into two cases.
% 35.77/9.44 |-Branch one:
% 35.77/9.44 | (544) all_0_102_102 = e22
% 35.77/9.44 |
% 35.77/9.44 | Equations (544) can reduce 1091 to:
% 35.77/9.44 | (401) $false
% 35.77/9.44 |
% 35.77/9.44 |-The branch is then unsatisfiable
% 35.77/9.44 |-Branch two:
% 35.77/9.44 | (1091) ~ (all_0_102_102 = e22)
% 35.77/9.44 | (515) all_0_102_102 = e20
% 35.77/9.44 |
% 35.77/9.44 | Equations (515) can reduce 449 to:
% 35.77/9.44 | (401) $false
% 35.77/9.44 |
% 35.77/9.44 |-The branch is then unsatisfiable
% 35.77/9.44 |-Branch two:
% 35.77/9.44 | (543) ~ (all_0_101_101 = e22)
% 35.77/9.44 | (1315) all_0_105_105 = e22 | all_0_109_109 = e22
% 35.77/9.44 |
% 35.77/9.44 +-Applying beta-rule and splitting (1315), into two cases.
% 35.77/9.44 |-Branch one:
% 35.77/9.44 | (537) all_0_105_105 = e22
% 35.77/9.44 |
% 35.77/9.44 | Equations (537) can reduce 682 to:
% 35.77/9.44 | (401) $false
% 35.77/9.44 |
% 35.77/9.44 |-The branch is then unsatisfiable
% 35.77/9.44 |-Branch two:
% 35.77/9.44 | (682) ~ (all_0_105_105 = e22)
% 35.77/9.44 | (857) all_0_109_109 = e22
% 35.77/9.44 |
% 35.77/9.44 | Equations (857) can reduce 146 to:
% 35.77/9.44 | (543) ~ (all_0_101_101 = e22)
% 35.77/9.44 |
% 35.77/9.44 | Equations (857) can reduce 245 to:
% 35.77/9.44 | (682) ~ (all_0_105_105 = e22)
% 35.77/9.44 |
% 35.77/9.44 | Equations (857) can reduce 317 to:
% 35.77/9.44 | (195) ~ (all_0_107_107 = e22)
% 35.77/9.44 |
% 35.77/9.44 +-Applying beta-rule and splitting (218), into two cases.
% 35.77/9.44 |-Branch one:
% 35.77/9.44 | (544) all_0_102_102 = e22
% 35.77/9.44 |
% 35.77/9.44 | Equations (544) can reduce 293 to:
% 35.77/9.44 | (1764) ~ (all_0_110_110 = e22)
% 35.77/9.44 |
% 35.77/9.44 | Simplifying 1764 yields:
% 35.77/9.44 | (1765) ~ (all_0_110_110 = e22)
% 35.77/9.44 |
% 35.77/9.44 +-Applying beta-rule and splitting (1386), into two cases.
% 35.77/9.44 |-Branch one:
% 35.77/9.44 | (1082) all_0_110_110 = e22
% 35.77/9.44 |
% 35.77/9.44 | Equations (1082) can reduce 1765 to:
% 35.77/9.44 | (401) $false
% 35.77/9.44 |
% 35.77/9.44 |-The branch is then unsatisfiable
% 35.77/9.44 |-Branch two:
% 35.77/9.44 | (1765) ~ (all_0_110_110 = e22)
% 35.77/9.44 | (687) all_0_110_110 = e20
% 35.77/9.44 |
% 35.77/9.44 | Equations (687) can reduce 353 to:
% 35.77/9.44 | (451) ~ (all_0_107_107 = e20)
% 35.77/9.44 |
% 35.77/9.44 | Equations (687) can reduce 1765 to:
% 35.77/9.44 | (751) ~ (e22 = e20)
% 35.77/9.44 |
% 35.77/9.44 | Simplifying 751 yields:
% 35.77/9.44 | (304) ~ (e22 = e20)
% 35.77/9.44 |
% 35.77/9.44 +-Applying beta-rule and splitting (137), into two cases.
% 35.77/9.44 |-Branch one:
% 35.77/9.44 | (526) all_0_101_101 = e21
% 35.77/9.44 |
% 35.77/9.44 | Equations (526) can reduce 690 to:
% 35.77/9.44 | (401) $false
% 35.77/9.44 |
% 35.77/9.44 |-The branch is then unsatisfiable
% 35.77/9.44 |-Branch two:
% 35.77/9.44 | (690) ~ (all_0_101_101 = e21)
% 35.77/9.44 | (691) all_0_105_105 = e21 | all_0_109_109 = e21
% 35.77/9.44 |
% 35.77/9.44 +-Applying beta-rule and splitting (96), into two cases.
% 35.77/9.44 |-Branch one:
% 35.77/9.44 | (485) all_0_107_107 = e21
% 35.77/9.44 |
% 35.77/9.44 | Equations (485) can reduce 195 to:
% 35.77/9.44 | (488) ~ (e22 = e21)
% 35.77/9.44 |
% 35.77/9.44 | Simplifying 488 yields:
% 35.77/9.44 | (28) ~ (e22 = e21)
% 35.77/9.44 |
% 35.77/9.44 | From (485) and (120) follows:
% 35.77/9.44 | (493) op2(e20, e23) = e21
% 35.77/9.44 |
% 35.77/9.44 +-Applying beta-rule and splitting (813), into two cases.
% 35.77/9.44 |-Branch one:
% 35.77/9.44 | (821) all_0_101_101 = e20
% 35.77/9.44 |
% 35.77/9.44 | Equations (821) can reduce 178 to:
% 35.77/9.44 | (2549) ~ (all_0_105_105 = e20)
% 35.77/9.44 |
% 35.94/9.44 | Simplifying 2549 yields:
% 35.94/9.44 | (834) ~ (all_0_105_105 = e20)
% 35.94/9.44 |
% 35.94/9.44 | Equations (821) can reduce 3 to:
% 35.94/9.44 | (452) ~ (e23 = e20)
% 35.94/9.44 |
% 35.94/9.44 | Simplifying 452 yields:
% 35.94/9.44 | (44) ~ (e23 = e20)
% 35.94/9.44 |
% 35.94/9.44 | From (821) and (250) follows:
% 35.94/9.44 | (828) op2(e23, e21) = e20
% 35.94/9.44 |
% 35.94/9.44 +-Applying beta-rule and splitting (242), into two cases.
% 35.94/9.44 |-Branch one:
% 35.94/9.44 | (519) all_0_103_103 = e20
% 35.94/9.44 |
% 35.94/9.44 | Equations (519) can reduce 144 to:
% 35.94/9.44 | (2549) ~ (all_0_105_105 = e20)
% 35.94/9.44 |
% 35.94/9.44 | Simplifying 2549 yields:
% 35.94/9.44 | (834) ~ (all_0_105_105 = e20)
% 35.94/9.44 |
% 35.94/9.44 | From (519) and (80) follows:
% 35.94/9.44 | (2555) op2(e22, e23) = e20
% 35.94/9.44 |
% 35.94/9.44 +-Applying beta-rule and splitting (341), into two cases.
% 35.94/9.44 |-Branch one:
% 35.94/9.44 | (537) all_0_105_105 = e22
% 35.94/9.44 |
% 35.94/9.44 | Equations (537) can reduce 682 to:
% 35.94/9.44 | (401) $false
% 35.94/9.44 |
% 35.94/9.44 |-The branch is then unsatisfiable
% 35.94/9.44 |-Branch two:
% 35.94/9.44 | (682) ~ (all_0_105_105 = e22)
% 35.94/9.44 | (969) all_0_105_105 = e21 | all_0_105_105 = e20
% 35.94/9.44 |
% 35.94/9.44 +-Applying beta-rule and splitting (969), into two cases.
% 35.94/9.44 |-Branch one:
% 35.94/9.44 | (986) all_0_105_105 = e20
% 35.94/9.44 |
% 35.94/9.44 | Equations (986) can reduce 834 to:
% 35.94/9.44 | (401) $false
% 35.94/9.44 |
% 35.94/9.44 |-The branch is then unsatisfiable
% 35.94/9.44 |-Branch two:
% 35.94/9.44 | (834) ~ (all_0_105_105 = e20)
% 35.94/9.44 | (692) all_0_105_105 = e21
% 35.94/9.44 |
% 35.94/9.44 | Equations (692) can reduce 682 to:
% 35.94/9.44 | (488) ~ (e22 = e21)
% 35.94/9.44 |
% 35.94/9.44 | Simplifying 488 yields:
% 35.94/9.44 | (28) ~ (e22 = e21)
% 35.94/9.44 |
% 35.94/9.44 | Equations (692) can reduce 834 to:
% 35.94/9.44 | (280) ~ (e21 = e20)
% 35.94/9.44 |
% 35.94/9.44 +-Applying beta-rule and splitting (277), into two cases.
% 35.94/9.44 |-Branch one:
% 35.94/9.44 | (637) unit2 = e23
% 35.94/9.44 |
% 35.94/9.44 | From (637) and (334) follows:
% 35.94/9.44 | (639) op2(e22, e23) = e22
% 35.94/9.44 |
% 35.94/9.44 | From (637) and (105) follows:
% 35.94/9.44 | (640) op2(e21, e23) = e21
% 35.94/9.44 |
% 35.94/9.44 | Instantiating formula (312) with e22, e23, e22, e20 and discharging atoms op2(e22, e23) = e22, op2(e22, e23) = e20, yields:
% 35.94/9.44 | (645) e22 = e20
% 35.94/9.44 |
% 35.94/9.44 | Instantiating formula (312) with e21, e23, e21, e22 and discharging atoms op2(e21, e23) = e22, op2(e21, e23) = e21, yields:
% 35.94/9.44 | (533) e22 = e21
% 35.94/9.44 |
% 35.94/9.44 | Combining equations (645,533) yields a new equation:
% 35.94/9.44 | (476) e21 = e20
% 35.94/9.44 |
% 35.94/9.44 | Equations (476) can reduce 280 to:
% 35.94/9.44 | (401) $false
% 35.94/9.44 |
% 35.94/9.44 |-The branch is then unsatisfiable
% 35.94/9.44 |-Branch two:
% 35.94/9.44 | (649) ~ (unit2 = e23)
% 35.94/9.44 | (650) unit2 = e22 | unit2 = e21 | unit2 = e20
% 35.94/9.44 |
% 35.94/9.44 +-Applying beta-rule and splitting (650), into two cases.
% 35.94/9.44 |-Branch one:
% 35.94/9.44 | (651) unit2 = e22
% 35.94/9.44 |
% 35.94/9.44 | From (651) and (38) follows:
% 35.94/9.44 | (412) op2(e23, e22) = e23
% 35.94/9.44 |
% 35.94/9.44 | From (651) and (202) follows:
% 35.94/9.44 | (653) op2(e20, e22) = e20
% 35.94/9.44 |
% 35.94/9.44 | Instantiating formula (312) with e23, e22, e23, e21 and discharging atoms op2(e23, e22) = e23, op2(e23, e22) = e21, yields:
% 35.94/9.44 | (482) e23 = e21
% 35.94/9.44 |
% 35.94/9.44 | Instantiating formula (312) with e20, e22, e20, e23 and discharging atoms op2(e20, e22) = e23, op2(e20, e22) = e20, yields:
% 35.94/9.44 | (521) e23 = e20
% 35.94/9.44 |
% 35.94/9.44 | Combining equations (521,482) yields a new equation:
% 35.94/9.44 | (476) e21 = e20
% 35.94/9.44 |
% 35.94/9.44 | Equations (476) can reduce 280 to:
% 35.94/9.44 | (401) $false
% 35.94/9.44 |
% 35.94/9.44 |-The branch is then unsatisfiable
% 35.94/9.44 |-Branch two:
% 35.94/9.44 | (658) ~ (unit2 = e22)
% 35.94/9.44 | (659) unit2 = e21 | unit2 = e20
% 35.94/9.44 |
% 35.94/9.44 +-Applying beta-rule and splitting (659), into two cases.
% 35.94/9.44 |-Branch one:
% 35.94/9.44 | (660) unit2 = e20
% 35.94/9.44 |
% 35.94/9.44 | From (660) and (299) follows:
% 35.94/9.44 | (661) op2(e20, e23) = e23
% 35.94/9.44 |
% 35.94/9.44 | From (660) and (23) follows:
% 35.94/9.44 | (474) op2(e20, e22) = e22
% 35.94/9.44 |
% 35.94/9.44 | Instantiating formula (312) with e20, e23, e23, e21 and discharging atoms op2(e20, e23) = e23, op2(e20, e23) = e21, yields:
% 35.94/9.44 | (482) e23 = e21
% 35.94/9.44 |
% 35.94/9.44 | Instantiating formula (312) with e20, e22, e22, e23 and discharging atoms op2(e20, e22) = e23, op2(e20, e22) = e22, yields:
% 35.94/9.44 | (442) e23 = e22
% 35.94/9.44 |
% 35.94/9.44 | Combining equations (482,442) yields a new equation:
% 35.94/9.44 | (533) e22 = e21
% 35.94/9.44 |
% 35.94/9.44 | Equations (533) can reduce 28 to:
% 35.94/9.44 | (401) $false
% 35.94/9.44 |
% 35.94/9.44 |-The branch is then unsatisfiable
% 35.94/9.44 |-Branch two:
% 35.94/9.44 | (668) ~ (unit2 = e20)
% 35.94/9.44 | (669) unit2 = e21
% 35.94/9.44 |
% 35.94/9.44 | Equations (669) can reduce 668 to:
% 35.94/9.44 | (280) ~ (e21 = e20)
% 35.94/9.44 |
% 35.94/9.44 | From (669) and (299) follows:
% 35.94/9.44 | (671) op2(e21, e23) = e23
% 35.94/9.44 |
% 35.94/9.44 | From (669) and (38) follows:
% 35.94/9.44 | (956) op2(e23, e21) = e23
% 35.94/9.44 |
% 35.94/9.44 | From (669) and (105) follows:
% 35.94/9.44 | (673) op2(e21, e21) = e21
% 35.94/9.44 |
% 35.94/9.44 | Instantiating formula (312) with e23, e21, e23, e20 and discharging atoms op2(e23, e21) = e23, op2(e23, e21) = e20, yields:
% 35.94/9.44 | (521) e23 = e20
% 35.94/9.44 |
% 35.94/9.44 | Instantiating formula (312) with e21, e23, e23, e22 and discharging atoms op2(e21, e23) = e23, op2(e21, e23) = e22, yields:
% 35.94/9.44 | (442) e23 = e22
% 35.94/9.44 |
% 35.94/9.44 | Instantiating formula (312) with e21, e21, e21, e23 and discharging atoms op2(e21, e21) = e23, op2(e21, e21) = e21, yields:
% 35.94/9.44 | (482) e23 = e21
% 35.94/9.44 |
% 35.94/9.44 | Combining equations (521,442) yields a new equation:
% 35.94/9.44 | (645) e22 = e20
% 35.94/9.44 |
% 35.94/9.44 | Combining equations (482,442) yields a new equation:
% 35.94/9.44 | (533) e22 = e21
% 35.94/9.44 |
% 35.94/9.44 | Combining equations (533,645) yields a new equation:
% 35.94/9.44 | (646) e21 = e20
% 35.94/9.44 |
% 35.94/9.44 | Simplifying 646 yields:
% 35.94/9.44 | (476) e21 = e20
% 35.94/9.44 |
% 35.94/9.44 | Equations (476) can reduce 280 to:
% 35.94/9.44 | (401) $false
% 35.94/9.44 |
% 35.94/9.44 |-The branch is then unsatisfiable
% 35.94/9.44 |-Branch two:
% 35.94/9.44 | (523) ~ (all_0_103_103 = e20)
% 35.94/9.44 | (524) all_0_105_105 = e20 | all_0_106_106 = e20
% 35.94/9.44 |
% 35.94/9.44 +-Applying beta-rule and splitting (266), into two cases.
% 35.94/9.44 |-Branch one:
% 35.94/9.44 | (447) all_0_99_99 = e20
% 35.94/9.44 |
% 35.94/9.44 | Combining equations (447,400) yields a new equation:
% 35.94/9.44 | (521) e23 = e20
% 35.94/9.44 |
% 35.94/9.44 | Equations (521) can reduce 44 to:
% 35.94/9.44 | (401) $false
% 35.94/9.44 |
% 35.94/9.44 |-The branch is then unsatisfiable
% 35.94/9.44 |-Branch two:
% 35.94/9.44 | (719) ~ (all_0_99_99 = e20)
% 35.94/9.44 | (720) all_0_103_103 = e20 | all_0_107_107 = e20
% 35.94/9.44 |
% 35.94/9.44 +-Applying beta-rule and splitting (691), into two cases.
% 35.94/9.44 |-Branch one:
% 35.94/9.44 | (692) all_0_105_105 = e21
% 35.94/9.44 |
% 35.94/9.44 | Equations (692) can reduce 834 to:
% 35.94/9.44 | (280) ~ (e21 = e20)
% 35.94/9.44 |
% 35.94/9.44 +-Applying beta-rule and splitting (720), into two cases.
% 35.94/9.44 |-Branch one:
% 35.94/9.44 | (519) all_0_103_103 = e20
% 35.94/9.44 |
% 35.94/9.44 | Equations (519) can reduce 523 to:
% 35.94/9.44 | (401) $false
% 35.94/9.44 |
% 35.94/9.44 |-The branch is then unsatisfiable
% 35.94/9.44 |-Branch two:
% 35.94/9.44 | (523) ~ (all_0_103_103 = e20)
% 35.94/9.44 | (460) all_0_107_107 = e20
% 35.94/9.44 |
% 35.94/9.44 | Combining equations (485,460) yields a new equation:
% 35.94/9.44 | (646) e21 = e20
% 35.94/9.44 |
% 35.94/9.44 | Simplifying 646 yields:
% 35.94/9.44 | (476) e21 = e20
% 35.94/9.44 |
% 35.94/9.44 | Equations (476) can reduce 280 to:
% 35.94/9.44 | (401) $false
% 35.94/9.44 |
% 35.94/9.44 |-The branch is then unsatisfiable
% 35.94/9.44 |-Branch two:
% 35.94/9.44 | (501) ~ (all_0_105_105 = e21)
% 35.94/9.44 | (695) all_0_109_109 = e21
% 35.94/9.44 |
% 35.94/9.44 | Combining equations (695,857) yields a new equation:
% 35.94/9.44 | (533) e22 = e21
% 35.94/9.44 |
% 35.94/9.44 | Equations (533) can reduce 28 to:
% 35.94/9.44 | (401) $false
% 35.94/9.44 |
% 35.94/9.44 |-The branch is then unsatisfiable
% 35.94/9.44 |-Branch two:
% 35.94/9.44 | (1086) ~ (all_0_101_101 = e20)
% 35.94/9.44 | (515) all_0_102_102 = e20
% 35.94/9.44 |
% 35.94/9.44 | Combining equations (515,544) yields a new equation:
% 35.94/9.44 | (645) e22 = e20
% 35.94/9.44 |
% 35.94/9.44 | Equations (645) can reduce 304 to:
% 35.94/9.44 | (401) $false
% 35.94/9.44 |
% 35.94/9.44 |-The branch is then unsatisfiable
% 35.94/9.44 |-Branch two:
% 35.94/9.44 | (709) ~ (all_0_107_107 = e21)
% 35.94/9.44 | (1147) all_0_108_108 = e21 | all_0_109_109 = e21
% 35.94/9.44 |
% 35.94/9.44 +-Applying beta-rule and splitting (813), into two cases.
% 35.94/9.44 |-Branch one:
% 35.94/9.44 | (821) all_0_101_101 = e20
% 35.94/9.44 |
% 35.94/9.44 | Equations (821) can reduce 3 to:
% 35.94/9.44 | (452) ~ (e23 = e20)
% 35.94/9.44 |
% 35.94/9.44 | Simplifying 452 yields:
% 35.94/9.44 | (44) ~ (e23 = e20)
% 35.94/9.44 |
% 35.94/9.44 | Equations (821) can reduce 690 to:
% 35.94/9.44 | (530) ~ (e21 = e20)
% 35.94/9.44 |
% 35.94/9.44 | Simplifying 530 yields:
% 35.94/9.44 | (280) ~ (e21 = e20)
% 35.94/9.44 |
% 35.94/9.44 +-Applying beta-rule and splitting (242), into two cases.
% 35.94/9.44 |-Branch one:
% 35.94/9.44 | (519) all_0_103_103 = e20
% 35.94/9.44 |
% 35.94/9.44 +-Applying beta-rule and splitting (247), into two cases.
% 35.94/9.44 |-Branch one:
% 35.94/9.44 | (475) all_0_99_99 = e21
% 35.94/9.44 |
% 35.94/9.44 | Combining equations (475,400) yields a new equation:
% 35.94/9.44 | (482) e23 = e21
% 35.94/9.44 |
% 35.94/9.44 | Equations (482) can reduce 279 to:
% 35.94/9.44 | (401) $false
% 35.94/9.44 |
% 35.94/9.44 |-The branch is then unsatisfiable
% 35.94/9.44 |-Branch two:
% 35.94/9.44 | (478) ~ (all_0_99_99 = e21)
% 35.94/9.44 | (479) all_0_103_103 = e21 | all_0_107_107 = e21
% 35.94/9.44 |
% 35.94/9.44 +-Applying beta-rule and splitting (50), into two cases.
% 35.94/9.44 |-Branch one:
% 35.94/9.44 | (480) all_0_103_103 = e21
% 35.94/9.44 |
% 35.94/9.44 | Combining equations (519,480) yields a new equation:
% 35.94/9.44 | (476) e21 = e20
% 35.94/9.44 |
% 35.94/9.44 | Equations (476) can reduce 280 to:
% 35.94/9.44 | (401) $false
% 35.94/9.44 |
% 35.94/9.44 |-The branch is then unsatisfiable
% 35.94/9.44 |-Branch two:
% 35.94/9.44 | (484) ~ (all_0_103_103 = e21)
% 35.94/9.44 | (883) all_0_104_104 = e21 | all_0_105_105 = e21
% 35.94/9.44 |
% 35.94/9.44 | Equations (519) can reduce 484 to:
% 35.94/9.44 | (530) ~ (e21 = e20)
% 35.94/9.44 |
% 35.94/9.44 | Simplifying 530 yields:
% 35.94/9.44 | (280) ~ (e21 = e20)
% 35.94/9.44 |
% 35.94/9.44 +-Applying beta-rule and splitting (479), into two cases.
% 35.94/9.44 |-Branch one:
% 35.94/9.44 | (480) all_0_103_103 = e21
% 35.94/9.44 |
% 35.94/9.44 | Combining equations (519,480) yields a new equation:
% 35.94/9.44 | (476) e21 = e20
% 35.94/9.44 |
% 35.94/9.44 | Equations (476) can reduce 280 to:
% 35.94/9.44 | (401) $false
% 35.94/9.44 |
% 35.94/9.44 |-The branch is then unsatisfiable
% 35.94/9.44 |-Branch two:
% 35.94/9.44 | (484) ~ (all_0_103_103 = e21)
% 35.94/9.44 | (485) all_0_107_107 = e21
% 35.94/9.44 |
% 35.94/9.44 | Equations (485) can reduce 709 to:
% 35.94/9.44 | (401) $false
% 35.94/9.44 |
% 35.94/9.44 |-The branch is then unsatisfiable
% 35.94/9.44 |-Branch two:
% 35.94/9.44 | (523) ~ (all_0_103_103 = e20)
% 35.94/9.44 | (524) all_0_105_105 = e20 | all_0_106_106 = e20
% 35.94/9.44 |
% 35.94/9.44 +-Applying beta-rule and splitting (266), into two cases.
% 35.94/9.44 |-Branch one:
% 35.94/9.44 | (447) all_0_99_99 = e20
% 35.94/9.44 |
% 35.94/9.44 | Combining equations (447,400) yields a new equation:
% 35.94/9.44 | (521) e23 = e20
% 35.94/9.44 |
% 35.94/9.44 | Equations (521) can reduce 44 to:
% 35.94/9.44 | (401) $false
% 35.94/9.44 |
% 35.94/9.44 |-The branch is then unsatisfiable
% 35.94/9.44 |-Branch two:
% 35.94/9.44 | (719) ~ (all_0_99_99 = e20)
% 35.94/9.44 | (720) all_0_103_103 = e20 | all_0_107_107 = e20
% 35.94/9.44 |
% 35.94/9.44 +-Applying beta-rule and splitting (720), into two cases.
% 35.94/9.44 |-Branch one:
% 35.94/9.44 | (519) all_0_103_103 = e20
% 35.94/9.44 |
% 35.94/9.44 | Equations (519) can reduce 523 to:
% 35.94/9.44 | (401) $false
% 35.94/9.44 |
% 35.94/9.44 |-The branch is then unsatisfiable
% 35.94/9.44 |-Branch two:
% 35.94/9.44 | (523) ~ (all_0_103_103 = e20)
% 35.94/9.44 | (460) all_0_107_107 = e20
% 35.94/9.44 |
% 35.94/9.44 | Equations (460) can reduce 451 to:
% 35.94/9.44 | (401) $false
% 35.94/9.44 |
% 35.94/9.44 |-The branch is then unsatisfiable
% 35.94/9.44 |-Branch two:
% 35.94/9.44 | (1086) ~ (all_0_101_101 = e20)
% 35.94/9.44 | (515) all_0_102_102 = e20
% 35.94/9.44 |
% 35.94/9.44 | Combining equations (544,515) yields a new equation:
% 35.94/9.44 | (644) e22 = e20
% 35.94/9.44 |
% 35.94/9.44 | Simplifying 644 yields:
% 35.94/9.44 | (645) e22 = e20
% 35.94/9.44 |
% 35.94/9.44 | Equations (645) can reduce 304 to:
% 35.94/9.44 | (401) $false
% 35.94/9.44 |
% 35.94/9.44 |-The branch is then unsatisfiable
% 35.94/9.44 |-Branch two:
% 35.94/9.44 | (1091) ~ (all_0_102_102 = e22)
% 35.94/9.44 | (1092) all_0_106_106 = e22 | all_0_110_110 = e22
% 35.94/9.44 |
% 35.94/9.44 +-Applying beta-rule and splitting (445), into two cases.
% 35.94/9.44 |-Branch one:
% 35.94/9.44 | (540) all_0_101_101 = e22
% 35.94/9.44 |
% 35.94/9.44 | Equations (540) can reduce 543 to:
% 35.94/9.44 | (401) $false
% 35.94/9.44 |
% 35.94/9.44 |-The branch is then unsatisfiable
% 35.94/9.44 |-Branch two:
% 35.94/9.44 | (543) ~ (all_0_101_101 = e22)
% 35.94/9.44 | (544) all_0_102_102 = e22
% 35.94/9.44 |
% 35.94/9.44 | Equations (544) can reduce 1091 to:
% 35.94/9.44 | (401) $false
% 35.94/9.44 |
% 35.94/9.44 |-The branch is then unsatisfiable
% 35.94/9.44 |-Branch two:
% 35.94/9.44 | (497) ~ (all_0_100_100 = e21)
% 35.94/9.44 | (498) all_0_104_104 = e21 | all_0_108_108 = e21
% 35.94/9.44 |
% 35.94/9.44 +-Applying beta-rule and splitting (98), into two cases.
% 35.94/9.44 |-Branch one:
% 35.94/9.44 | (475) all_0_99_99 = e21
% 35.94/9.44 |
% 35.94/9.44 | Combining equations (400,475) yields a new equation:
% 35.94/9.44 | (481) e23 = e21
% 35.94/9.44 |
% 35.94/9.44 | Simplifying 481 yields:
% 35.94/9.44 | (482) e23 = e21
% 35.94/9.44 |
% 35.94/9.44 | Equations (482) can reduce 279 to:
% 35.94/9.44 | (401) $false
% 35.94/9.44 |
% 35.94/9.44 |-The branch is then unsatisfiable
% 35.94/9.44 |-Branch two:
% 35.94/9.44 | (478) ~ (all_0_99_99 = e21)
% 35.94/9.44 | (1536) all_0_100_100 = e21 | all_0_101_101 = e21
% 35.94/9.44 |
% 35.94/9.44 +-Applying beta-rule and splitting (1536), into two cases.
% 35.94/9.44 |-Branch one:
% 35.94/9.44 | (494) all_0_100_100 = e21
% 35.94/9.44 |
% 35.94/9.44 | Equations (494) can reduce 497 to:
% 35.94/9.44 | (401) $false
% 35.94/9.44 |
% 35.94/9.44 |-The branch is then unsatisfiable
% 35.94/9.44 |-Branch two:
% 35.94/9.44 | (497) ~ (all_0_100_100 = e21)
% 35.94/9.44 | (526) all_0_101_101 = e21
% 35.94/9.44 |
% 35.94/9.44 | Equations (526) can reduce 75 to:
% 35.94/9.44 | (497) ~ (all_0_100_100 = e21)
% 35.94/9.44 |
% 35.94/9.44 +-Applying beta-rule and splitting (124), into two cases.
% 35.94/9.44 |-Branch one:
% 35.94/9.44 | (441) all_0_100_100 = e22
% 35.94/9.44 |
% 35.94/9.44 | Equations (441) can reduce 444 to:
% 35.94/9.44 | (401) $false
% 35.94/9.44 |
% 35.94/9.44 |-The branch is then unsatisfiable
% 35.94/9.44 |-Branch two:
% 35.94/9.44 | (444) ~ (all_0_100_100 = e22)
% 35.94/9.44 | (445) all_0_101_101 = e22 | all_0_102_102 = e22
% 35.94/9.44 |
% 35.94/9.44 +-Applying beta-rule and splitting (1426), into two cases.
% 35.94/9.44 |-Branch one:
% 35.94/9.44 | (441) all_0_100_100 = e22
% 35.94/9.44 |
% 35.94/9.44 | Equations (441) can reduce 444 to:
% 35.94/9.44 | (401) $false
% 35.94/9.44 |
% 35.94/9.44 |-The branch is then unsatisfiable
% 35.94/9.44 |-Branch two:
% 35.94/9.44 | (444) ~ (all_0_100_100 = e22)
% 35.94/9.44 | (494) all_0_100_100 = e21
% 35.94/9.44 |
% 35.94/9.44 | Equations (494) can reduce 497 to:
% 35.94/9.44 | (401) $false
% 35.94/9.44 |
% 35.94/9.44 |-The branch is then unsatisfiable
% 35.94/9.44 |-Branch two:
% 35.94/9.44 | (471) ~ (all_0_104_104 = e22)
% 35.94/9.44 | (536) all_0_105_105 = e22 | all_0_106_106 = e22
% 35.94/9.44 |
% 35.94/9.44 +-Applying beta-rule and splitting (116), into two cases.
% 35.94/9.44 |-Branch one:
% 35.94/9.44 | (441) all_0_100_100 = e22
% 35.94/9.44 |
% 35.94/9.44 | Equations (441) can reduce 75 to:
% 35.94/9.44 | (1458) ~ (all_0_101_101 = e22)
% 35.94/9.44 |
% 35.94/9.44 | Simplifying 1458 yields:
% 35.94/9.44 | (543) ~ (all_0_101_101 = e22)
% 35.94/9.44 |
% 35.94/9.44 | Equations (441) can reduce 5 to:
% 35.94/9.45 | (6612) ~ (all_0_102_102 = e22)
% 35.94/9.45 |
% 35.94/9.45 | Simplifying 6612 yields:
% 35.94/9.45 | (1091) ~ (all_0_102_102 = e22)
% 35.94/9.45 |
% 35.94/9.45 | From (441) and (230) follows:
% 35.94/9.45 | (1462) op2(e23, e22) = e22
% 35.94/9.45 |
% 35.94/9.45 +-Applying beta-rule and splitting (432), into two cases.
% 35.94/9.45 |-Branch one:
% 35.94/9.45 | (544) all_0_102_102 = e22
% 35.94/9.45 |
% 35.94/9.45 | Equations (544) can reduce 1091 to:
% 35.94/9.45 | (401) $false
% 35.94/9.45 |
% 35.94/9.45 |-The branch is then unsatisfiable
% 35.94/9.45 |-Branch two:
% 35.94/9.45 | (1091) ~ (all_0_102_102 = e22)
% 35.94/9.45 | (515) all_0_102_102 = e20
% 35.94/9.45 |
% 35.94/9.45 | Equations (515) can reduce 26 to:
% 35.94/9.45 | (1086) ~ (all_0_101_101 = e20)
% 35.94/9.45 |
% 35.94/9.45 | Equations (515) can reduce 293 to:
% 35.94/9.45 | (1892) ~ (all_0_110_110 = e20)
% 35.94/9.45 |
% 35.94/9.45 | Simplifying 1892 yields:
% 35.94/9.45 | (1893) ~ (all_0_110_110 = e20)
% 35.94/9.45 |
% 35.94/9.45 +-Applying beta-rule and splitting (114), into two cases.
% 35.94/9.45 |-Branch one:
% 35.94/9.45 | (540) all_0_101_101 = e22
% 35.94/9.45 |
% 35.94/9.45 | Equations (540) can reduce 543 to:
% 35.94/9.45 | (401) $false
% 35.94/9.45 |
% 35.94/9.45 |-The branch is then unsatisfiable
% 35.94/9.45 |-Branch two:
% 35.94/9.45 | (543) ~ (all_0_101_101 = e22)
% 35.94/9.45 | (1284) all_0_101_101 = e21 | all_0_101_101 = e20
% 35.94/9.45 |
% 35.94/9.45 +-Applying beta-rule and splitting (1284), into two cases.
% 35.94/9.45 |-Branch one:
% 35.94/9.45 | (821) all_0_101_101 = e20
% 35.94/9.45 |
% 35.94/9.45 | Equations (821) can reduce 1086 to:
% 35.94/9.45 | (401) $false
% 35.94/9.45 |
% 35.94/9.45 |-The branch is then unsatisfiable
% 35.94/9.45 |-Branch two:
% 35.94/9.45 | (1086) ~ (all_0_101_101 = e20)
% 35.94/9.45 | (526) all_0_101_101 = e21
% 35.94/9.45 |
% 35.94/9.45 | Equations (526) can reduce 146 to:
% 35.94/9.45 | (1540) ~ (all_0_109_109 = e21)
% 35.94/9.45 |
% 35.94/9.45 | Simplifying 1540 yields:
% 35.94/9.45 | (1541) ~ (all_0_109_109 = e21)
% 35.94/9.45 |
% 35.94/9.45 | Equations (526) can reduce 3 to:
% 35.94/9.45 | (486) ~ (e23 = e21)
% 35.94/9.45 |
% 35.94/9.45 | Simplifying 486 yields:
% 35.94/9.45 | (279) ~ (e23 = e21)
% 35.94/9.45 |
% 35.94/9.45 +-Applying beta-rule and splitting (1386), into two cases.
% 35.94/9.45 |-Branch one:
% 35.94/9.45 | (1082) all_0_110_110 = e22
% 35.94/9.45 |
% 35.94/9.45 | Equations (1082) can reduce 179 to:
% 35.94/9.45 | (855) ~ (all_0_109_109 = e22)
% 35.94/9.45 |
% 35.94/9.45 | Equations (1082) can reduce 1383 to:
% 35.94/9.45 | (805) ~ (e23 = e22)
% 35.94/9.45 |
% 35.94/9.45 | Simplifying 805 yields:
% 35.94/9.45 | (108) ~ (e23 = e22)
% 35.94/9.45 |
% 35.94/9.45 | Equations (1082) can reduce 58 to:
% 35.94/9.45 | (28) ~ (e22 = e21)
% 35.94/9.45 |
% 35.94/9.45 | From (1082) and (309) follows:
% 35.94/9.45 | (1622) op2(all_0_97_97, e22) = all_0_74_74
% 35.94/9.45 |
% 35.94/9.45 | From (1082) and (52) follows:
% 35.94/9.45 | (1623) op2(all_0_98_98, e22) = all_0_85_85
% 35.94/9.45 |
% 35.94/9.45 | From (1082) and (359) follows:
% 35.94/9.45 | (1624) op2(e22, all_0_97_97) = all_0_68_68
% 35.94/9.45 |
% 35.94/9.45 | From (1082) and (93) follows:
% 35.94/9.45 | (1625) op2(e22, all_0_98_98) = all_0_72_72
% 35.94/9.45 |
% 35.94/9.45 | From (1082)(1082) and (265) follows:
% 35.94/9.45 | (1626) op2(e22, e22) = all_0_66_66
% 35.94/9.45 |
% 35.94/9.45 | From (1082) and (69) follows:
% 35.94/9.45 | (1627) op2(e20, e22) = all_0_97_97
% 35.94/9.45 |
% 35.94/9.45 | From (1082) and (340) follows:
% 35.94/9.45 | (1628) op2(e20, e20) = e22
% 35.94/9.45 |
% 35.94/9.45 +-Applying beta-rule and splitting (283), into two cases.
% 35.94/9.45 |-Branch one:
% 35.94/9.45 | (494) all_0_100_100 = e21
% 35.94/9.45 |
% 35.94/9.45 | Combining equations (441,494) yields a new equation:
% 35.94/9.45 | (677) e22 = e21
% 35.94/9.45 |
% 35.94/9.45 | Simplifying 677 yields:
% 35.94/9.45 | (533) e22 = e21
% 35.94/9.45 |
% 35.94/9.45 | Equations (533) can reduce 28 to:
% 35.94/9.45 | (401) $false
% 35.94/9.45 |
% 35.94/9.45 |-The branch is then unsatisfiable
% 35.94/9.45 |-Branch two:
% 35.94/9.45 | (497) ~ (all_0_100_100 = e21)
% 35.94/9.45 | (498) all_0_104_104 = e21 | all_0_108_108 = e21
% 35.94/9.45 |
% 35.94/9.45 +-Applying beta-rule and splitting (498), into two cases.
% 35.94/9.45 |-Branch one:
% 35.94/9.45 | (499) all_0_104_104 = e21
% 35.94/9.45 |
% 35.94/9.45 | From (499) and (212) follows:
% 35.94/9.45 | (507) op2(all_0_95_95, e21) = all_0_35_35
% 35.94/9.45 |
% 35.94/9.45 | From (499) and (349) follows:
% 35.94/9.45 | (508) op2(all_0_96_96, e21) = all_0_46_46
% 35.94/9.45 |
% 35.94/9.45 | From (499) and (42) follows:
% 35.94/9.45 | (509) op2(e21, all_0_95_95) = all_0_29_29
% 35.94/9.45 |
% 35.94/9.45 | From (499) and (181) follows:
% 35.94/9.45 | (510) op2(e21, all_0_96_96) = all_0_33_33
% 35.94/9.45 |
% 35.94/9.45 | From (499)(499) and (35) follows:
% 35.94/9.45 | (511) op2(e21, e21) = all_0_27_27
% 35.94/9.45 |
% 35.94/9.45 | From (499) and (86) follows:
% 35.94/9.45 | (512) op2(e21, e22) = all_0_31_31
% 35.94/9.45 |
% 35.94/9.45 | From (499) and (188) follows:
% 35.94/9.45 | (513) op2(e22, e21) = all_0_95_95
% 35.94/9.45 |
% 35.94/9.45 | From (499) and (16) follows:
% 35.94/9.45 | (514) op2(e22, e22) = e21
% 35.94/9.45 |
% 35.94/9.45 +-Applying beta-rule and splitting (96), into two cases.
% 35.94/9.45 |-Branch one:
% 35.94/9.45 | (485) all_0_107_107 = e21
% 35.94/9.45 |
% 35.94/9.45 | Equations (485) can reduce 166 to:
% 35.94/9.45 | (484) ~ (all_0_103_103 = e21)
% 35.94/9.45 |
% 35.94/9.45 | Equations (485) can reduce 317 to:
% 35.94/9.45 | (1540) ~ (all_0_109_109 = e21)
% 35.94/9.45 |
% 35.94/9.45 | Simplifying 1540 yields:
% 35.94/9.45 | (1541) ~ (all_0_109_109 = e21)
% 35.94/9.45 |
% 35.94/9.45 | From (485) and (120) follows:
% 35.94/9.45 | (493) op2(e20, e23) = e21
% 35.94/9.45 |
% 35.94/9.45 +-Applying beta-rule and splitting (6182), into two cases.
% 35.94/9.45 |-Branch one:
% 35.94/9.45 | (519) all_0_103_103 = e20
% 35.94/9.45 |
% 35.94/9.45 | Equations (519) can reduce 144 to:
% 35.94/9.45 | (2549) ~ (all_0_105_105 = e20)
% 35.94/9.45 |
% 35.94/9.45 | Simplifying 2549 yields:
% 35.94/9.45 | (834) ~ (all_0_105_105 = e20)
% 35.94/9.45 |
% 35.94/9.45 | Equations (519) can reduce 484 to:
% 35.94/9.45 | (530) ~ (e21 = e20)
% 35.94/9.45 |
% 35.94/9.45 | Simplifying 530 yields:
% 35.94/9.45 | (280) ~ (e21 = e20)
% 35.94/9.45 |
% 35.94/9.45 | From (519) and (80) follows:
% 35.94/9.45 | (2555) op2(e22, e23) = e20
% 35.94/9.45 |
% 35.94/9.45 +-Applying beta-rule and splitting (361), into two cases.
% 35.94/9.45 |-Branch one:
% 35.94/9.45 | (821) all_0_101_101 = e20
% 35.94/9.45 |
% 35.94/9.45 | Combining equations (526,821) yields a new equation:
% 35.94/9.45 | (646) e21 = e20
% 35.94/9.45 |
% 35.94/9.45 | Simplifying 646 yields:
% 35.94/9.45 | (476) e21 = e20
% 35.94/9.45 |
% 35.94/9.45 | Equations (476) can reduce 280 to:
% 35.94/9.45 | (401) $false
% 35.94/9.45 |
% 35.94/9.45 |-The branch is then unsatisfiable
% 35.94/9.45 |-Branch two:
% 35.94/9.45 | (1086) ~ (all_0_101_101 = e20)
% 35.94/9.45 | (1129) all_0_105_105 = e20 | all_0_109_109 = e20
% 35.94/9.45 |
% 35.94/9.45 | Equations (526) can reduce 1086 to:
% 35.94/9.45 | (280) ~ (e21 = e20)
% 35.94/9.45 |
% 35.94/9.45 +-Applying beta-rule and splitting (67), into two cases.
% 35.94/9.45 |-Branch one:
% 35.94/9.45 | (460) all_0_107_107 = e20
% 35.94/9.45 |
% 35.94/9.45 | Combining equations (485,460) yields a new equation:
% 35.94/9.45 | (646) e21 = e20
% 35.94/9.45 |
% 35.94/9.45 | Simplifying 646 yields:
% 35.94/9.45 | (476) e21 = e20
% 35.94/9.45 |
% 35.94/9.45 | Equations (476) can reduce 280 to:
% 35.94/9.45 | (401) $false
% 35.94/9.45 |
% 35.94/9.45 |-The branch is then unsatisfiable
% 35.94/9.45 |-Branch two:
% 35.94/9.45 | (451) ~ (all_0_107_107 = e20)
% 35.94/9.45 | (463) all_0_109_109 = e20 | all_0_110_110 = e20
% 35.94/9.45 |
% 35.94/9.45 +-Applying beta-rule and splitting (341), into two cases.
% 35.94/9.45 |-Branch one:
% 35.94/9.45 | (537) all_0_105_105 = e22
% 35.94/9.45 |
% 35.94/9.45 | Equations (537) can reduce 834 to:
% 35.94/9.45 | (304) ~ (e22 = e20)
% 35.94/9.45 |
% 35.94/9.45 | From (537) and (61) follows:
% 35.94/9.45 | (539) op2(e22, e21) = e22
% 35.94/9.45 |
% 35.94/9.45 +-Applying beta-rule and splitting (463), into two cases.
% 35.94/9.45 |-Branch one:
% 35.94/9.45 | (464) all_0_109_109 = e20
% 35.94/9.45 |
% 35.94/9.45 | Equations (464) can reduce 1541 to:
% 35.94/9.45 | (530) ~ (e21 = e20)
% 35.94/9.45 |
% 35.94/9.45 | Simplifying 530 yields:
% 35.94/9.45 | (280) ~ (e21 = e20)
% 35.94/9.45 |
% 35.94/9.45 | Instantiating formula (312) with e22, e22, e21, all_0_66_66 and discharging atoms op2(e22, e22) = all_0_66_66, op2(e22, e22) = e21, yields:
% 35.94/9.45 | (1650) all_0_66_66 = e21
% 35.94/9.45 |
% 35.94/9.45 | Instantiating formula (312) with e22, e21, e22, all_0_95_95 and discharging atoms op2(e22, e21) = all_0_95_95, op2(e22, e21) = e22, yields:
% 35.94/9.45 | (547) all_0_95_95 = e22
% 35.94/9.45 |
% 35.94/9.45 | Instantiating formula (312) with e21, e22, all_0_31_31, e20 and discharging atoms op2(e21, e22) = all_0_31_31, op2(e21, e22) = e20, yields:
% 35.98/9.45 | (549) all_0_31_31 = e20
% 35.98/9.45 |
% 35.98/9.45 | Instantiating formula (312) with e21, e21, all_0_27_27, e23 and discharging atoms op2(e21, e21) = all_0_27_27, op2(e21, e21) = e23, yields:
% 35.98/9.45 | (550) all_0_27_27 = e23
% 35.98/9.45 |
% 35.98/9.45 | Instantiating formula (312) with e20, e22, all_0_97_97, e23 and discharging atoms op2(e20, e22) = all_0_97_97, op2(e20, e22) = e23, yields:
% 35.98/9.45 | (1646) all_0_97_97 = e23
% 35.98/9.45 |
% 35.98/9.45 | From (547)(547) and (213) follows:
% 35.98/9.45 | (559) op2(e22, e22) = all_0_37_37
% 35.98/9.45 |
% 35.98/9.45 | From (547) and (332) follows:
% 35.98/9.45 | (560) op2(e22, e22) = all_0_39_39
% 35.98/9.45 |
% 35.98/9.45 | From (547) and (507) follows:
% 35.98/9.45 | (561) op2(e22, e21) = all_0_35_35
% 35.98/9.45 |
% 35.98/9.45 | From (1646) and (1622) follows:
% 35.98/9.45 | (1655) op2(e23, e22) = all_0_74_74
% 35.98/9.45 |
% 35.98/9.45 | From (1646) and (110) follows:
% 35.98/9.45 | (1657) op2(all_0_98_98, e23) = all_0_87_87
% 35.98/9.45 |
% 35.98/9.45 | From (547) and (121) follows:
% 35.98/9.45 | (566) op2(e22, e22) = all_0_96_96
% 35.98/9.45 |
% 35.98/9.45 | From (1646) and (1624) follows:
% 35.98/9.45 | (1659) op2(e22, e23) = all_0_68_68
% 35.98/9.45 |
% 35.98/9.45 | From (1650) and (1626) follows:
% 35.98/9.45 | (514) op2(e22, e22) = e21
% 35.98/9.45 |
% 35.98/9.45 | From (547) and (513) follows:
% 35.98/9.45 | (539) op2(e22, e21) = e22
% 35.98/9.45 |
% 35.98/9.45 | From (547) and (509) follows:
% 35.98/9.45 | (568) op2(e21, e22) = all_0_29_29
% 35.98/9.45 |
% 35.98/9.45 | From (549) and (512) follows:
% 35.98/9.45 | (151) op2(e21, e22) = e20
% 35.98/9.45 |
% 35.98/9.45 | From (550) and (511) follows:
% 35.98/9.45 | (224) op2(e21, e21) = e23
% 35.98/9.45 |
% 35.98/9.45 | From (1646) and (240) follows:
% 35.98/9.45 | (1663) op2(e20, e23) = all_0_98_98
% 35.98/9.45 |
% 35.98/9.45 | From (1646) and (1627) follows:
% 35.98/9.45 | (1414) op2(e20, e22) = e23
% 35.98/9.45 |
% 35.98/9.45 | Instantiating formula (312) with e23, e22, all_0_74_74, e22 and discharging atoms op2(e23, e22) = all_0_74_74, op2(e23, e22) = e22, yields:
% 35.98/9.45 | (548) all_0_74_74 = e22
% 35.98/9.45 |
% 35.98/9.45 | Instantiating formula (312) with e22, e23, all_0_68_68, e20 and discharging atoms op2(e22, e23) = all_0_68_68, op2(e22, e23) = e20, yields:
% 35.98/9.45 | (6711) all_0_68_68 = e20
% 35.98/9.45 |
% 35.98/9.45 | Instantiating formula (312) with e22, e22, all_0_37_37, e21 and discharging atoms op2(e22, e22) = all_0_37_37, op2(e22, e22) = e21, yields:
% 35.98/9.45 | (578) all_0_37_37 = e21
% 35.98/9.45 |
% 35.98/9.45 | Instantiating formula (312) with e22, e22, all_0_39_39, all_0_37_37 and discharging atoms op2(e22, e22) = all_0_37_37, op2(e22, e22) = all_0_39_39, yields:
% 35.98/9.45 | (590) all_0_37_37 = all_0_39_39
% 35.98/9.45 |
% 35.98/9.45 | Instantiating formula (312) with e22, e22, all_0_96_96, all_0_37_37 and discharging atoms op2(e22, e22) = all_0_37_37, op2(e22, e22) = all_0_96_96, yields:
% 35.98/9.45 | (581) all_0_37_37 = all_0_96_96
% 35.98/9.45 |
% 35.98/9.45 | Instantiating formula (312) with e22, e21, all_0_35_35, e22 and discharging atoms op2(e22, e21) = all_0_35_35, op2(e22, e21) = e22, yields:
% 35.98/9.45 | (582) all_0_35_35 = e22
% 35.98/9.45 |
% 35.98/9.45 | Instantiating formula (312) with e21, e22, all_0_29_29, e20 and discharging atoms op2(e21, e22) = all_0_29_29, op2(e21, e22) = e20, yields:
% 35.98/9.45 | (583) all_0_29_29 = e20
% 35.98/9.45 |
% 35.98/9.45 | Instantiating formula (312) with e20, e23, all_0_98_98, e21 and discharging atoms op2(e20, e23) = all_0_98_98, op2(e20, e23) = e21, yields:
% 35.98/9.45 | (1673) all_0_98_98 = e21
% 35.98/9.45 |
% 35.98/9.45 | Combining equations (581,590) yields a new equation:
% 35.98/9.45 | (591) all_0_39_39 = all_0_96_96
% 35.98/9.45 |
% 35.98/9.45 | Combining equations (578,590) yields a new equation:
% 35.98/9.45 | (592) all_0_39_39 = e21
% 35.98/9.45 |
% 35.98/9.45 | Combining equations (592,591) yields a new equation:
% 35.98/9.45 | (593) all_0_96_96 = e21
% 35.98/9.45 |
% 35.98/9.45 | From (593)(593) and (197) follows:
% 35.98/9.45 | (599) op2(e21, e21) = all_0_52_52
% 35.98/9.45 |
% 35.98/9.45 | From (593) and (141) follows:
% 35.98/9.45 | (600) op2(e21, e22) = all_0_50_50
% 35.98/9.45 |
% 35.98/9.45 | From (593) and (508) follows:
% 35.98/9.45 | (601) op2(e21, e21) = all_0_46_46
% 35.98/9.45 |
% 35.98/9.45 | From (1673)(1673) and (263) follows:
% 35.98/9.45 | (1678) op2(e21, e21) = all_0_91_91
% 35.98/9.45 |
% 35.98/9.45 | From (1673) and (1657) follows:
% 35.98/9.45 | (1679) op2(e21, e23) = all_0_87_87
% 35.98/9.45 |
% 35.98/9.45 | From (1673) and (1623) follows:
% 35.98/9.45 | (1680) op2(e21, e22) = all_0_85_85
% 35.98/9.45 |
% 35.98/9.45 | From (548) and (1655) follows:
% 35.98/9.45 | (1462) op2(e23, e22) = e22
% 35.98/9.45 |
% 35.98/9.45 | From (593) and (113) follows:
% 35.98/9.45 | (604) op2(e22, e21) = all_0_45_45
% 35.98/9.45 |
% 35.98/9.45 | From (1673) and (1625) follows:
% 35.98/9.46 | (1683) op2(e22, e21) = all_0_72_72
% 35.98/9.46 |
% 35.98/9.46 | From (6711) and (1659) follows:
% 35.98/9.46 | (2555) op2(e22, e23) = e20
% 35.98/9.46 |
% 35.98/9.46 | From (582) and (561) follows:
% 35.98/9.46 | (539) op2(e22, e21) = e22
% 35.98/9.46 |
% 35.98/9.46 | From (593) and (510) follows:
% 35.98/9.46 | (607) op2(e21, e21) = all_0_33_33
% 35.98/9.46 |
% 35.98/9.46 | From (583) and (568) follows:
% 35.98/9.46 | (151) op2(e21, e22) = e20
% 35.98/9.46 |
% 35.98/9.46 | From (1673) and (1663) follows:
% 35.98/9.46 | (493) op2(e20, e23) = e21
% 35.98/9.46 |
% 35.98/9.46 | Instantiating formula (312) with e22, e21, all_0_45_45, e22 and discharging atoms op2(e22, e21) = all_0_45_45, op2(e22, e21) = e22, yields:
% 35.98/9.46 | (617) all_0_45_45 = e22
% 35.98/9.46 |
% 35.98/9.46 | Instantiating formula (312) with e22, e21, all_0_72_72, all_0_45_45 and discharging atoms op2(e22, e21) = all_0_45_45, op2(e22, e21) = all_0_72_72, yields:
% 35.98/9.46 | (6736) all_0_45_45 = all_0_72_72
% 35.98/9.46 |
% 35.98/9.46 | Instantiating formula (312) with e21, e23, all_0_87_87, e22 and discharging atoms op2(e21, e23) = all_0_87_87, op2(e21, e23) = e22, yields:
% 35.98/9.46 | (1690) all_0_87_87 = e22
% 35.98/9.46 |
% 35.98/9.46 | Instantiating formula (312) with e21, e22, all_0_50_50, e20 and discharging atoms op2(e21, e22) = all_0_50_50, op2(e21, e22) = e20, yields:
% 35.98/9.46 | (618) all_0_50_50 = e20
% 35.98/9.46 |
% 35.98/9.46 | Instantiating formula (312) with e21, e22, all_0_85_85, all_0_50_50 and discharging atoms op2(e21, e22) = all_0_50_50, op2(e21, e22) = all_0_85_85, yields:
% 35.98/9.46 | (6739) all_0_50_50 = all_0_85_85
% 35.98/9.46 |
% 35.98/9.46 | Instantiating formula (312) with e21, e21, all_0_46_46, all_0_33_33 and discharging atoms op2(e21, e21) = all_0_33_33, op2(e21, e21) = all_0_46_46, yields:
% 35.98/9.46 | (620) all_0_33_33 = all_0_46_46
% 35.98/9.46 |
% 35.98/9.46 | Instantiating formula (312) with e21, e21, all_0_52_52, e23 and discharging atoms op2(e21, e21) = all_0_52_52, op2(e21, e21) = e23, yields:
% 35.98/9.46 | (630) all_0_52_52 = e23
% 35.98/9.46 |
% 35.98/9.46 | Instantiating formula (312) with e21, e21, all_0_52_52, all_0_46_46 and discharging atoms op2(e21, e21) = all_0_46_46, op2(e21, e21) = all_0_52_52, yields:
% 35.98/9.46 | (628) all_0_46_46 = all_0_52_52
% 35.98/9.46 |
% 35.98/9.46 | Instantiating formula (312) with e21, e21, all_0_91_91, all_0_33_33 and discharging atoms op2(e21, e21) = all_0_33_33, op2(e21, e21) = all_0_91_91, yields:
% 35.98/9.46 | (6743) all_0_33_33 = all_0_91_91
% 35.98/9.46 |
% 35.98/9.46 | Combining equations (620,6743) yields a new equation:
% 35.98/9.46 | (6744) all_0_46_46 = all_0_91_91
% 35.98/9.46 |
% 35.98/9.46 | Simplifying 6744 yields:
% 35.98/9.46 | (6745) all_0_46_46 = all_0_91_91
% 35.98/9.46 |
% 35.98/9.46 | Combining equations (617,6736) yields a new equation:
% 35.98/9.46 | (1689) all_0_72_72 = e22
% 35.98/9.46 |
% 35.98/9.46 | Combining equations (628,6745) yields a new equation:
% 35.98/9.46 | (6747) all_0_52_52 = all_0_91_91
% 35.98/9.46 |
% 35.98/9.46 | Simplifying 6747 yields:
% 35.98/9.46 | (6748) all_0_52_52 = all_0_91_91
% 35.98/9.46 |
% 35.98/9.46 | Combining equations (6739,618) yields a new equation:
% 35.98/9.46 | (6749) all_0_85_85 = e20
% 35.98/9.46 |
% 35.98/9.46 | Simplifying 6749 yields:
% 35.98/9.46 | (1691) all_0_85_85 = e20
% 35.98/9.46 |
% 35.98/9.46 | Combining equations (630,6748) yields a new equation:
% 35.98/9.46 | (596) all_0_91_91 = e23
% 35.98/9.46 |
% 35.98/9.46 | From (1689) and (1683) follows:
% 35.98/9.46 | (539) op2(e22, e21) = e22
% 35.98/9.46 |
% 35.98/9.46 | From (1690) and (1679) follows:
% 35.98/9.46 | (89) op2(e21, e23) = e22
% 35.98/9.46 |
% 35.98/9.46 | From (1691) and (1680) follows:
% 35.98/9.46 | (151) op2(e21, e22) = e20
% 35.98/9.46 |
% 35.98/9.46 | From (596) and (1678) follows:
% 35.98/9.46 | (224) op2(e21, e21) = e23
% 35.98/9.46 |
% 35.98/9.46 +-Applying beta-rule and splitting (277), into two cases.
% 35.98/9.46 |-Branch one:
% 35.98/9.46 | (637) unit2 = e23
% 35.98/9.46 |
% 35.98/9.46 | From (637) and (334) follows:
% 35.98/9.46 | (639) op2(e22, e23) = e22
% 35.98/9.46 |
% 35.98/9.46 | From (637) and (105) follows:
% 35.98/9.46 | (640) op2(e21, e23) = e21
% 35.98/9.46 |
% 35.98/9.46 | Instantiating formula (312) with e22, e23, e22, e20 and discharging atoms op2(e22, e23) = e22, op2(e22, e23) = e20, yields:
% 35.98/9.46 | (645) e22 = e20
% 35.98/9.46 |
% 35.98/9.46 | Instantiating formula (312) with e21, e23, e21, e22 and discharging atoms op2(e21, e23) = e22, op2(e21, e23) = e21, yields:
% 35.98/9.46 | (533) e22 = e21
% 35.98/9.46 |
% 35.98/9.46 | Combining equations (533,645) yields a new equation:
% 35.98/9.46 | (646) e21 = e20
% 35.98/9.46 |
% 35.98/9.46 | Simplifying 646 yields:
% 35.98/9.46 | (476) e21 = e20
% 35.98/9.46 |
% 35.98/9.46 | Equations (476) can reduce 280 to:
% 35.98/9.46 | (401) $false
% 35.98/9.46 |
% 35.98/9.46 |-The branch is then unsatisfiable
% 35.98/9.46 |-Branch two:
% 35.98/9.46 | (649) ~ (unit2 = e23)
% 35.98/9.46 | (650) unit2 = e22 | unit2 = e21 | unit2 = e20
% 35.98/9.46 |
% 35.98/9.46 +-Applying beta-rule and splitting (650), into two cases.
% 35.98/9.46 |-Branch one:
% 35.98/9.46 | (651) unit2 = e22
% 35.98/9.46 |
% 35.98/9.46 | From (651) and (171) follows:
% 35.98/9.46 | (652) op2(e22, e21) = e21
% 35.98/9.46 |
% 35.98/9.46 | From (651) and (38) follows:
% 35.98/9.46 | (412) op2(e23, e22) = e23
% 35.98/9.46 |
% 35.98/9.46 | From (651) and (202) follows:
% 35.98/9.46 | (653) op2(e20, e22) = e20
% 35.98/9.46 |
% 35.98/9.46 | Instantiating formula (312) with e23, e22, e23, e22 and discharging atoms op2(e23, e22) = e23, op2(e23, e22) = e22, yields:
% 35.98/9.46 | (442) e23 = e22
% 35.98/9.46 |
% 35.98/9.46 | Instantiating formula (312) with e22, e21, e21, e22 and discharging atoms op2(e22, e21) = e22, op2(e22, e21) = e21, yields:
% 35.98/9.46 | (533) e22 = e21
% 35.98/9.46 |
% 35.98/9.46 | Instantiating formula (312) with e20, e22, e20, e23 and discharging atoms op2(e20, e22) = e23, op2(e20, e22) = e20, yields:
% 35.98/9.46 | (521) e23 = e20
% 35.98/9.46 |
% 35.98/9.46 | Combining equations (521,442) yields a new equation:
% 35.98/9.46 | (645) e22 = e20
% 35.98/9.46 |
% 35.98/9.46 | Combining equations (645,533) yields a new equation:
% 35.98/9.46 | (476) e21 = e20
% 35.98/9.46 |
% 35.98/9.46 | Equations (476) can reduce 280 to:
% 35.98/9.46 | (401) $false
% 35.98/9.46 |
% 35.98/9.46 |-The branch is then unsatisfiable
% 35.98/9.46 |-Branch two:
% 35.98/9.46 | (658) ~ (unit2 = e22)
% 35.98/9.46 | (659) unit2 = e21 | unit2 = e20
% 35.98/9.46 |
% 35.98/9.46 +-Applying beta-rule and splitting (659), into two cases.
% 35.98/9.46 |-Branch one:
% 35.98/9.46 | (660) unit2 = e20
% 35.98/9.46 |
% 35.98/9.46 | From (660) and (299) follows:
% 35.98/9.46 | (661) op2(e20, e23) = e23
% 35.98/9.46 |
% 35.98/9.46 | From (660) and (23) follows:
% 35.98/9.46 | (474) op2(e20, e22) = e22
% 35.98/9.46 |
% 35.98/9.46 | From (660) and (202) follows:
% 35.98/9.46 | (662) op2(e20, e20) = e20
% 35.98/9.46 |
% 35.98/9.46 | Instantiating formula (312) with e20, e23, e23, e21 and discharging atoms op2(e20, e23) = e23, op2(e20, e23) = e21, yields:
% 35.98/9.46 | (482) e23 = e21
% 35.98/9.46 |
% 35.98/9.46 | Instantiating formula (312) with e20, e22, e22, e23 and discharging atoms op2(e20, e22) = e23, op2(e20, e22) = e22, yields:
% 35.98/9.46 | (442) e23 = e22
% 35.98/9.46 |
% 35.98/9.46 | Instantiating formula (312) with e20, e20, e20, e22 and discharging atoms op2(e20, e20) = e22, op2(e20, e20) = e20, yields:
% 35.98/9.46 | (645) e22 = e20
% 35.98/9.46 |
% 35.98/9.46 | Combining equations (442,482) yields a new equation:
% 35.98/9.46 | (677) e22 = e21
% 35.98/9.46 |
% 35.98/9.46 | Simplifying 677 yields:
% 35.98/9.46 | (533) e22 = e21
% 35.98/9.46 |
% 35.98/9.46 | Combining equations (533,645) yields a new equation:
% 35.98/9.46 | (646) e21 = e20
% 35.98/9.46 |
% 35.98/9.46 | Simplifying 646 yields:
% 35.98/9.46 | (476) e21 = e20
% 35.98/9.46 |
% 35.98/9.46 | Equations (476) can reduce 280 to:
% 35.98/9.46 | (401) $false
% 35.98/9.46 |
% 35.98/9.46 |-The branch is then unsatisfiable
% 35.98/9.46 |-Branch two:
% 35.98/9.46 | (668) ~ (unit2 = e20)
% 35.98/9.46 | (669) unit2 = e21
% 35.98/9.46 |
% 35.98/9.46 | Equations (669) can reduce 668 to:
% 35.98/9.46 | (280) ~ (e21 = e20)
% 35.98/9.46 |
% 35.98/9.46 | From (669) and (299) follows:
% 35.98/9.46 | (671) op2(e21, e23) = e23
% 35.98/9.46 |
% 35.98/9.46 | From (669) and (23) follows:
% 35.98/9.46 | (672) op2(e21, e22) = e22
% 35.98/9.46 |
% 35.98/9.46 | From (669) and (105) follows:
% 35.98/9.46 | (673) op2(e21, e21) = e21
% 35.98/9.46 |
% 35.98/9.46 | Instantiating formula (312) with e21, e23, e23, e22 and discharging atoms op2(e21, e23) = e23, op2(e21, e23) = e22, yields:
% 35.98/9.46 | (442) e23 = e22
% 35.98/9.46 |
% 35.98/9.46 | Instantiating formula (312) with e21, e22, e22, e20 and discharging atoms op2(e21, e22) = e22, op2(e21, e22) = e20, yields:
% 35.98/9.46 | (645) e22 = e20
% 35.98/9.46 |
% 35.98/9.46 | Instantiating formula (312) with e21, e21, e21, e23 and discharging atoms op2(e21, e21) = e23, op2(e21, e21) = e21, yields:
% 35.98/9.46 | (482) e23 = e21
% 35.98/9.46 |
% 35.98/9.46 | Combining equations (442,482) yields a new equation:
% 35.98/9.46 | (677) e22 = e21
% 35.98/9.46 |
% 35.98/9.46 | Simplifying 677 yields:
% 35.98/9.46 | (533) e22 = e21
% 35.98/9.46 |
% 35.98/9.46 | Combining equations (533,645) yields a new equation:
% 35.98/9.46 | (646) e21 = e20
% 35.98/9.46 |
% 35.98/9.46 | Simplifying 646 yields:
% 35.98/9.46 | (476) e21 = e20
% 35.98/9.46 |
% 35.98/9.46 | Equations (476) can reduce 280 to:
% 35.98/9.46 | (401) $false
% 35.98/9.46 |
% 35.98/9.46 |-The branch is then unsatisfiable
% 35.98/9.46 |-Branch two:
% 35.98/9.46 | (715) ~ (all_0_109_109 = e20)
% 35.98/9.46 | (687) all_0_110_110 = e20
% 35.98/9.46 |
% 35.98/9.46 | Combining equations (687,1082) yields a new equation:
% 35.98/9.46 | (645) e22 = e20
% 35.98/9.46 |
% 35.98/9.46 | Equations (645) can reduce 304 to:
% 35.98/9.46 | (401) $false
% 35.98/9.46 |
% 35.98/9.46 |-The branch is then unsatisfiable
% 35.98/9.46 |-Branch two:
% 35.98/9.46 | (682) ~ (all_0_105_105 = e22)
% 35.98/9.46 | (969) all_0_105_105 = e21 | all_0_105_105 = e20
% 35.98/9.46 |
% 35.98/9.46 +-Applying beta-rule and splitting (536), into two cases.
% 35.98/9.46 |-Branch one:
% 35.98/9.46 | (537) all_0_105_105 = e22
% 35.98/9.46 |
% 35.98/9.46 | Equations (537) can reduce 682 to:
% 35.98/9.46 | (401) $false
% 35.98/9.46 |
% 35.98/9.46 |-The branch is then unsatisfiable
% 35.98/9.46 |-Branch two:
% 35.98/9.46 | (682) ~ (all_0_105_105 = e22)
% 35.98/9.46 | (683) all_0_106_106 = e22
% 35.98/9.46 |
% 35.98/9.46 | Combining equations (437,683) yields a new equation:
% 35.98/9.46 | (796) e23 = e22
% 35.98/9.46 |
% 35.98/9.46 | Simplifying 796 yields:
% 35.98/9.46 | (442) e23 = e22
% 35.98/9.46 |
% 35.98/9.46 | Equations (442) can reduce 108 to:
% 35.98/9.46 | (401) $false
% 35.98/9.46 |
% 35.98/9.46 |-The branch is then unsatisfiable
% 35.98/9.46 |-Branch two:
% 35.98/9.46 | (523) ~ (all_0_103_103 = e20)
% 35.98/9.46 | (480) all_0_103_103 = e21
% 35.98/9.46 |
% 35.98/9.46 | Equations (480) can reduce 484 to:
% 35.98/9.46 | (401) $false
% 35.98/9.46 |
% 35.98/9.46 |-The branch is then unsatisfiable
% 35.98/9.46 |-Branch two:
% 35.98/9.46 | (709) ~ (all_0_107_107 = e21)
% 35.98/9.46 | (1147) all_0_108_108 = e21 | all_0_109_109 = e21
% 35.98/9.46 |
% 35.98/9.46 +-Applying beta-rule and splitting (13), into two cases.
% 35.98/9.46 |-Branch one:
% 35.98/9.46 | (857) all_0_109_109 = e22
% 35.98/9.46 |
% 35.98/9.46 | Equations (857) can reduce 855 to:
% 35.98/9.46 | (401) $false
% 35.98/9.46 |
% 35.98/9.46 |-The branch is then unsatisfiable
% 35.98/9.46 |-Branch two:
% 35.98/9.46 | (855) ~ (all_0_109_109 = e22)
% 35.98/9.46 | (860) all_0_109_109 = e21 | all_0_109_109 = e20
% 35.98/9.46 |
% 35.98/9.46 +-Applying beta-rule and splitting (860), into two cases.
% 35.98/9.46 |-Branch one:
% 35.98/9.46 | (464) all_0_109_109 = e20
% 35.98/9.46 |
% 35.98/9.46 | Equations (464) can reduce 317 to:
% 35.98/9.46 | (451) ~ (all_0_107_107 = e20)
% 35.98/9.46 |
% 35.98/9.46 +-Applying beta-rule and splitting (428), into two cases.
% 35.98/9.46 |-Branch one:
% 35.98/9.46 | (460) all_0_107_107 = e20
% 35.98/9.46 |
% 35.98/9.46 | Equations (460) can reduce 451 to:
% 35.98/9.46 | (401) $false
% 35.98/9.46 |
% 35.98/9.46 |-The branch is then unsatisfiable
% 35.98/9.46 |-Branch two:
% 35.98/9.46 | (451) ~ (all_0_107_107 = e20)
% 35.98/9.46 | (485) all_0_107_107 = e21
% 35.98/9.46 |
% 35.98/9.46 | Equations (485) can reduce 709 to:
% 35.98/9.46 | (401) $false
% 35.98/9.46 |
% 35.98/9.46 |-The branch is then unsatisfiable
% 35.98/9.46 |-Branch two:
% 35.98/9.46 | (715) ~ (all_0_109_109 = e20)
% 35.98/9.46 | (695) all_0_109_109 = e21
% 35.98/9.46 |
% 35.98/9.46 | Equations (695) can reduce 1541 to:
% 35.98/9.46 | (401) $false
% 35.98/9.46 |
% 35.98/9.46 |-The branch is then unsatisfiable
% 35.98/9.46 |-Branch two:
% 35.98/9.46 | (698) ~ (all_0_104_104 = e21)
% 35.98/9.46 | (699) all_0_108_108 = e21
% 35.98/9.46 |
% 35.98/9.46 | Combining equations (699,421) yields a new equation:
% 35.98/9.46 | (482) e23 = e21
% 35.98/9.46 |
% 35.98/9.46 | Equations (482) can reduce 279 to:
% 35.98/9.46 | (401) $false
% 35.98/9.46 |
% 35.98/9.46 |-The branch is then unsatisfiable
% 35.98/9.46 |-Branch two:
% 35.98/9.46 | (1765) ~ (all_0_110_110 = e22)
% 35.98/9.46 | (687) all_0_110_110 = e20
% 35.98/9.46 |
% 35.98/9.46 | Equations (687) can reduce 1893 to:
% 35.98/9.46 | (401) $false
% 35.98/9.46 |
% 35.98/9.46 |-The branch is then unsatisfiable
% 35.98/9.46 |-Branch two:
% 35.98/9.46 | (444) ~ (all_0_100_100 = e22)
% 35.98/9.46 | (800) all_0_104_104 = e22 | all_0_108_108 = e22
% 35.98/9.46 |
% 35.98/9.46 +-Applying beta-rule and splitting (1430), into two cases.
% 35.98/9.46 |-Branch one:
% 35.98/9.46 | (532) all_0_104_104 = e22
% 35.98/9.46 |
% 35.98/9.46 | Equations (532) can reduce 471 to:
% 35.98/9.46 | (401) $false
% 35.98/9.46 |
% 35.98/9.46 |-The branch is then unsatisfiable
% 35.98/9.46 |-Branch two:
% 35.98/9.46 | (471) ~ (all_0_104_104 = e22)
% 35.98/9.46 | (499) all_0_104_104 = e21
% 35.98/9.46 |
% 35.98/9.46 | Equations (499) can reduce 48 to:
% 35.98/9.47 | (497) ~ (all_0_100_100 = e21)
% 35.98/9.47 |
% 35.98/9.47 +-Applying beta-rule and splitting (1426), into two cases.
% 35.98/9.47 |-Branch one:
% 35.98/9.47 | (441) all_0_100_100 = e22
% 35.98/9.47 |
% 35.98/9.47 | Equations (441) can reduce 444 to:
% 35.98/9.47 | (401) $false
% 35.98/9.47 |
% 35.98/9.47 |-The branch is then unsatisfiable
% 35.98/9.47 |-Branch two:
% 35.98/9.47 | (444) ~ (all_0_100_100 = e22)
% 35.98/9.47 | (494) all_0_100_100 = e21
% 35.98/9.47 |
% 35.98/9.47 | Equations (494) can reduce 497 to:
% 35.98/9.47 | (401) $false
% 35.98/9.47 |
% 35.98/9.47 |-The branch is then unsatisfiable
% 35.98/9.47 |-Branch two:
% 35.98/9.47 | (410) ~ (all_0_108_108 = e23)
% 35.98/9.47 | (375) all_0_110_110 = e23
% 35.98/9.47 |
% 35.98/9.47 | Equations (375) can reduce 1383 to:
% 35.98/9.47 | (401) $false
% 35.98/9.47 |
% 35.98/9.47 |-The branch is then unsatisfiable
% 35.98/9.47 |-Branch two:
% 35.98/9.47 | (399) ~ (all_0_99_99 = e23)
% 35.98/9.47 | (403) all_0_100_100 = e23 | all_0_102_102 = e23
% 35.98/9.47 |
% 35.98/9.47 +-Applying beta-rule and splitting (15), into two cases.
% 35.98/9.47 |-Branch one:
% 35.98/9.47 | (400) all_0_99_99 = e23
% 35.98/9.47 |
% 35.98/9.47 | Equations (400) can reduce 399 to:
% 35.98/9.47 | (401) $false
% 35.98/9.47 |
% 35.98/9.47 |-The branch is then unsatisfiable
% 35.98/9.47 |-Branch two:
% 35.98/9.47 | (399) ~ (all_0_99_99 = e23)
% 35.98/9.47 | (2431) all_0_103_103 = e23 | all_0_107_107 = e23
% 35.98/9.47 |
% 35.98/9.47 +-Applying beta-rule and splitting (2431), into two cases.
% 35.98/9.47 |-Branch one:
% 35.98/9.47 | (413) all_0_103_103 = e23
% 35.98/9.47 |
% 35.98/9.47 | Equations (413) can reduce 1358 to:
% 35.98/9.47 | (401) $false
% 35.98/9.47 |
% 35.98/9.47 |-The branch is then unsatisfiable
% 35.98/9.47 |-Branch two:
% 35.98/9.47 | (1358) ~ (all_0_103_103 = e23)
% 35.98/9.47 | (425) all_0_107_107 = e23
% 35.98/9.47 |
% 35.98/9.47 | Equations (425) can reduce 166 to:
% 35.98/9.47 | (1358) ~ (all_0_103_103 = e23)
% 35.98/9.47 |
% 35.98/9.47 | Equations (425) can reduce 317 to:
% 35.98/9.47 | (2438) ~ (all_0_109_109 = e23)
% 35.98/9.47 |
% 35.98/9.47 | Simplifying 2438 yields:
% 35.98/9.47 | (314) ~ (all_0_109_109 = e23)
% 35.98/9.47 |
% 35.98/9.47 | Equations (425) can reduce 353 to:
% 35.98/9.47 | (2440) ~ (all_0_110_110 = e23)
% 35.98/9.47 |
% 35.98/9.47 | Simplifying 2440 yields:
% 35.98/9.47 | (1383) ~ (all_0_110_110 = e23)
% 35.98/9.47 |
% 35.98/9.47 | Equations (425) can reduce 195 to:
% 35.98/9.47 | (108) ~ (e23 = e22)
% 35.98/9.47 |
% 35.98/9.47 | From (425) and (120) follows:
% 35.98/9.47 | (661) op2(e20, e23) = e23
% 35.98/9.47 |
% 35.98/9.47 +-Applying beta-rule and splitting (318), into two cases.
% 35.98/9.47 |-Branch one:
% 35.98/9.47 | (404) all_0_100_100 = e23
% 35.98/9.47 |
% 35.98/9.47 | Equations (404) can reduce 83 to:
% 35.98/9.47 | (399) ~ (all_0_99_99 = e23)
% 35.98/9.47 |
% 35.98/9.47 | Equations (404) can reduce 75 to:
% 35.98/9.47 | (6151) ~ (all_0_101_101 = e23)
% 35.98/9.47 |
% 35.98/9.47 | Simplifying 6151 yields:
% 35.98/9.47 | (3) ~ (all_0_101_101 = e23)
% 35.98/9.47 |
% 35.98/9.47 | Equations (404) can reduce 48 to:
% 35.98/9.47 | (407) ~ (all_0_104_104 = e23)
% 35.98/9.47 |
% 35.98/9.47 | Simplifying 407 yields:
% 35.98/9.47 | (408) ~ (all_0_104_104 = e23)
% 35.98/9.47 |
% 35.98/9.47 | Equations (404) can reduce 176 to:
% 35.98/9.47 | (409) ~ (all_0_108_108 = e23)
% 35.98/9.47 |
% 35.98/9.47 | Simplifying 409 yields:
% 35.98/9.47 | (410) ~ (all_0_108_108 = e23)
% 35.98/9.47 |
% 35.98/9.47 | From (404) and (230) follows:
% 35.98/9.47 | (412) op2(e23, e22) = e23
% 35.98/9.47 |
% 35.98/9.47 +-Applying beta-rule and splitting (168), into two cases.
% 35.98/9.47 |-Branch one:
% 35.98/9.47 | (400) all_0_99_99 = e23
% 35.98/9.47 |
% 35.98/9.47 | Equations (400) can reduce 399 to:
% 35.98/9.47 | (401) $false
% 35.98/9.47 |
% 35.98/9.47 |-The branch is then unsatisfiable
% 35.98/9.47 |-Branch two:
% 35.98/9.47 | (399) ~ (all_0_99_99 = e23)
% 35.98/9.47 | (436) all_0_99_99 = e21 | all_0_99_99 = e20
% 35.98/9.47 |
% 35.98/9.47 +-Applying beta-rule and splitting (163), into two cases.
% 35.98/9.47 |-Branch one:
% 35.98/9.47 | (413) all_0_103_103 = e23
% 35.98/9.47 |
% 35.98/9.47 | Equations (413) can reduce 1358 to:
% 35.98/9.47 | (401) $false
% 35.98/9.47 |
% 35.98/9.47 |-The branch is then unsatisfiable
% 35.98/9.47 |-Branch two:
% 35.98/9.47 | (1358) ~ (all_0_103_103 = e23)
% 35.98/9.47 | (6182) all_0_103_103 = e21 | all_0_103_103 = e20
% 35.98/9.47 |
% 35.98/9.47 +-Applying beta-rule and splitting (90), into two cases.
% 35.98/9.47 |-Branch one:
% 35.98/9.47 | (1360) all_0_104_104 = e23
% 35.98/9.47 |
% 35.98/9.47 | Equations (1360) can reduce 408 to:
% 35.98/9.47 | (401) $false
% 35.98/9.47 |
% 35.98/9.47 |-The branch is then unsatisfiable
% 35.98/9.47 |-Branch two:
% 35.98/9.47 | (408) ~ (all_0_104_104 = e23)
% 35.98/9.47 | (1430) all_0_104_104 = e22 | all_0_104_104 = e21
% 35.98/9.47 |
% 35.98/9.47 +-Applying beta-rule and splitting (82), into two cases.
% 35.98/9.47 |-Branch one:
% 35.98/9.47 | (421) all_0_108_108 = e23
% 35.98/9.47 |
% 35.98/9.47 | Equations (421) can reduce 410 to:
% 35.98/9.47 | (401) $false
% 35.98/9.47 |
% 35.98/9.47 |-The branch is then unsatisfiable
% 35.98/9.47 |-Branch two:
% 35.98/9.47 | (410) ~ (all_0_108_108 = e23)
% 35.98/9.47 | (424) all_0_108_108 = e22 | all_0_108_108 = e21
% 35.98/9.47 |
% 35.98/9.47 +-Applying beta-rule and splitting (266), into two cases.
% 35.98/9.47 |-Branch one:
% 35.98/9.47 | (447) all_0_99_99 = e20
% 35.98/9.47 |
% 35.98/9.47 | Equations (447) can reduce 156 to:
% 35.98/9.47 | (2674) ~ (all_0_103_103 = e20)
% 35.98/9.47 |
% 35.98/9.47 | Simplifying 2674 yields:
% 35.98/9.47 | (523) ~ (all_0_103_103 = e20)
% 35.98/9.47 |
% 35.98/9.47 | Equations (447) can reduce 399 to:
% 35.98/9.47 | (452) ~ (e23 = e20)
% 35.98/9.47 |
% 35.98/9.47 | Simplifying 452 yields:
% 35.98/9.47 | (44) ~ (e23 = e20)
% 35.98/9.47 |
% 35.98/9.47 | From (447) and (39) follows:
% 35.98/9.47 | (1504) op2(all_0_93_93, e20) = all_0_8_8
% 35.98/9.47 |
% 35.98/9.47 | From (447) and (40) follows:
% 35.98/9.47 | (455) op2(e20, all_0_94_94) = all_0_6_6
% 35.98/9.47 |
% 35.98/9.47 | From (447) and (344) follows:
% 35.98/9.47 | (457) op2(e20, e23) = all_0_4_4
% 35.98/9.47 |
% 35.98/9.47 | From (447) and (79) follows:
% 35.98/9.47 | (458) op2(e23, e20) = all_0_93_93
% 35.98/9.47 |
% 35.98/9.47 +-Applying beta-rule and splitting (242), into two cases.
% 35.98/9.47 |-Branch one:
% 35.98/9.47 | (519) all_0_103_103 = e20
% 35.98/9.47 |
% 35.98/9.47 | Equations (519) can reduce 523 to:
% 35.98/9.47 | (401) $false
% 35.98/9.47 |
% 35.98/9.47 |-The branch is then unsatisfiable
% 35.98/9.47 |-Branch two:
% 35.98/9.47 | (523) ~ (all_0_103_103 = e20)
% 35.98/9.47 | (524) all_0_105_105 = e20 | all_0_106_106 = e20
% 35.98/9.47 |
% 35.98/9.47 +-Applying beta-rule and splitting (524), into two cases.
% 35.98/9.47 |-Branch one:
% 35.98/9.47 | (986) all_0_105_105 = e20
% 35.98/9.47 |
% 35.98/9.47 | Equations (986) can reduce 144 to:
% 35.98/9.47 | (523) ~ (all_0_103_103 = e20)
% 35.98/9.47 |
% 35.98/9.47 | Equations (986) can reduce 245 to:
% 35.98/9.47 | (822) ~ (all_0_109_109 = e20)
% 35.98/9.47 |
% 35.98/9.47 | Simplifying 822 yields:
% 35.98/9.47 | (715) ~ (all_0_109_109 = e20)
% 35.98/9.47 |
% 35.98/9.47 | Equations (986) can reduce 355 to:
% 35.98/9.47 | (452) ~ (e23 = e20)
% 35.98/9.47 |
% 35.98/9.47 | Simplifying 452 yields:
% 35.98/9.47 | (44) ~ (e23 = e20)
% 35.98/9.47 |
% 35.98/9.47 +-Applying beta-rule and splitting (67), into two cases.
% 35.98/9.47 |-Branch one:
% 35.98/9.47 | (460) all_0_107_107 = e20
% 35.98/9.47 |
% 35.98/9.47 | Combining equations (425,460) yields a new equation:
% 35.98/9.47 | (520) e23 = e20
% 35.98/9.47 |
% 35.98/9.47 | Simplifying 520 yields:
% 35.98/9.47 | (521) e23 = e20
% 35.98/9.47 |
% 35.98/9.47 | Equations (521) can reduce 44 to:
% 35.98/9.47 | (401) $false
% 35.98/9.47 |
% 35.98/9.47 |-The branch is then unsatisfiable
% 35.98/9.47 |-Branch two:
% 35.98/9.47 | (451) ~ (all_0_107_107 = e20)
% 35.98/9.47 | (463) all_0_109_109 = e20 | all_0_110_110 = e20
% 35.98/9.47 |
% 35.98/9.47 +-Applying beta-rule and splitting (463), into two cases.
% 35.98/9.47 |-Branch one:
% 35.98/9.47 | (464) all_0_109_109 = e20
% 35.98/9.47 |
% 35.98/9.47 | Equations (464) can reduce 715 to:
% 35.98/9.47 | (401) $false
% 35.98/9.47 |
% 35.98/9.47 |-The branch is then unsatisfiable
% 35.98/9.47 |-Branch two:
% 35.98/9.47 | (715) ~ (all_0_109_109 = e20)
% 35.98/9.47 | (687) all_0_110_110 = e20
% 35.98/9.47 |
% 35.98/9.47 | Equations (687) can reduce 179 to:
% 35.98/9.47 | (715) ~ (all_0_109_109 = e20)
% 35.98/9.47 |
% 35.98/9.47 | Equations (687) can reduce 58 to:
% 35.98/9.47 | (530) ~ (e21 = e20)
% 35.98/9.47 |
% 35.98/9.47 | Simplifying 530 yields:
% 35.98/9.47 | (280) ~ (e21 = e20)
% 35.98/9.47 |
% 35.98/9.47 +-Applying beta-rule and splitting (218), into two cases.
% 35.98/9.47 |-Branch one:
% 35.98/9.47 | (544) all_0_102_102 = e22
% 35.98/9.47 |
% 35.98/9.47 | From (544) and (199) follows:
% 35.98/9.47 | (545) op2(e23, e20) = e22
% 35.98/9.47 |
% 35.98/9.47 +-Applying beta-rule and splitting (98), into two cases.
% 35.98/9.47 |-Branch one:
% 35.98/9.47 | (475) all_0_99_99 = e21
% 35.98/9.47 |
% 35.98/9.47 | Combining equations (447,475) yields a new equation:
% 35.98/9.47 | (476) e21 = e20
% 35.98/9.47 |
% 35.98/9.47 | Equations (476) can reduce 280 to:
% 35.98/9.47 | (401) $false
% 35.98/9.47 |
% 35.98/9.47 |-The branch is then unsatisfiable
% 35.98/9.47 |-Branch two:
% 35.98/9.47 | (478) ~ (all_0_99_99 = e21)
% 35.98/9.47 | (1536) all_0_100_100 = e21 | all_0_101_101 = e21
% 35.98/9.47 |
% 35.98/9.47 +-Applying beta-rule and splitting (1536), into two cases.
% 35.98/9.47 |-Branch one:
% 35.98/9.47 | (494) all_0_100_100 = e21
% 35.98/9.47 |
% 35.98/9.47 | Combining equations (404,494) yields a new equation:
% 35.98/9.47 | (481) e23 = e21
% 35.98/9.47 |
% 35.98/9.47 | Simplifying 481 yields:
% 35.98/9.47 | (482) e23 = e21
% 35.98/9.47 |
% 35.98/9.47 | Equations (482) can reduce 279 to:
% 35.98/9.47 | (401) $false
% 35.98/9.47 |
% 35.98/9.47 |-The branch is then unsatisfiable
% 35.98/9.47 |-Branch two:
% 35.98/9.47 | (497) ~ (all_0_100_100 = e21)
% 35.98/9.47 | (526) all_0_101_101 = e21
% 35.98/9.47 |
% 35.98/9.47 | Equations (526) can reduce 146 to:
% 35.98/9.47 | (1540) ~ (all_0_109_109 = e21)
% 35.98/9.47 |
% 35.98/9.47 | Simplifying 1540 yields:
% 35.98/9.47 | (1541) ~ (all_0_109_109 = e21)
% 35.98/9.47 |
% 35.98/9.47 | Equations (526) can reduce 3 to:
% 35.98/9.47 | (486) ~ (e23 = e21)
% 35.98/9.47 |
% 35.98/9.47 | Simplifying 486 yields:
% 35.98/9.47 | (279) ~ (e23 = e21)
% 35.98/9.47 |
% 35.98/9.47 +-Applying beta-rule and splitting (96), into two cases.
% 35.98/9.47 |-Branch one:
% 35.98/9.47 | (485) all_0_107_107 = e21
% 35.98/9.47 |
% 35.98/9.47 | Combining equations (425,485) yields a new equation:
% 35.98/9.47 | (481) e23 = e21
% 35.98/9.47 |
% 35.98/9.47 | Simplifying 481 yields:
% 35.98/9.47 | (482) e23 = e21
% 35.98/9.47 |
% 35.98/9.47 | Equations (482) can reduce 279 to:
% 35.98/9.47 | (401) $false
% 35.98/9.47 |
% 35.98/9.47 |-The branch is then unsatisfiable
% 35.98/9.47 |-Branch two:
% 35.98/9.47 | (709) ~ (all_0_107_107 = e21)
% 35.98/9.47 | (1147) all_0_108_108 = e21 | all_0_109_109 = e21
% 35.98/9.47 |
% 35.98/9.47 +-Applying beta-rule and splitting (1147), into two cases.
% 35.98/9.47 |-Branch one:
% 35.98/9.47 | (699) all_0_108_108 = e21
% 35.98/9.47 |
% 35.98/9.47 | Equations (699) can reduce 331 to:
% 35.98/9.47 | (1540) ~ (all_0_109_109 = e21)
% 35.98/9.47 |
% 35.98/9.47 | Simplifying 1540 yields:
% 35.98/9.47 | (1541) ~ (all_0_109_109 = e21)
% 35.98/9.47 |
% 35.98/9.47 +-Applying beta-rule and splitting (6182), into two cases.
% 35.98/9.47 |-Branch one:
% 35.98/9.47 | (519) all_0_103_103 = e20
% 35.98/9.47 |
% 35.98/9.47 | Equations (519) can reduce 523 to:
% 35.98/9.47 | (401) $false
% 35.98/9.47 |
% 35.98/9.47 |-The branch is then unsatisfiable
% 35.98/9.47 |-Branch two:
% 35.98/9.47 | (523) ~ (all_0_103_103 = e20)
% 35.98/9.47 | (480) all_0_103_103 = e21
% 35.98/9.47 |
% 35.98/9.47 | Equations (480) can reduce 220 to:
% 35.98/9.47 | (6962) ~ (all_0_104_104 = e21)
% 35.98/9.47 |
% 35.98/9.47 | Simplifying 6962 yields:
% 35.98/9.47 | (698) ~ (all_0_104_104 = e21)
% 35.98/9.47 |
% 35.98/9.47 | Equations (480) can reduce 523 to:
% 35.98/9.47 | (280) ~ (e21 = e20)
% 35.98/9.47 |
% 35.98/9.47 | From (480) and (80) follows:
% 35.98/9.47 | (2703) op2(e22, e23) = e21
% 35.98/9.47 |
% 35.98/9.47 +-Applying beta-rule and splitting (13), into two cases.
% 35.98/9.47 |-Branch one:
% 35.98/9.47 | (857) all_0_109_109 = e22
% 35.98/9.47 |
% 35.98/9.47 | From (857) and (175) follows:
% 35.98/9.47 | (1004) op2(e20, e21) = e22
% 35.98/9.47 |
% 35.98/9.47 +-Applying beta-rule and splitting (12), into two cases.
% 35.98/9.47 |-Branch one:
% 35.98/9.47 | (532) all_0_104_104 = e22
% 35.98/9.47 |
% 35.98/9.47 | Equations (532) can reduce 698 to:
% 35.98/9.47 | (28) ~ (e22 = e21)
% 35.98/9.47 |
% 35.98/9.47 | Instantiating formula (312) with e23, e20, e22, all_0_93_93 and discharging atoms op2(e23, e20) = all_0_93_93, op2(e23, e20) = e22, yields:
% 35.98/9.47 | (546) all_0_93_93 = e22
% 35.98/9.47 |
% 35.98/9.47 | Instantiating formula (312) with e20, e23, all_0_4_4, e23 and discharging atoms op2(e20, e23) = all_0_4_4, op2(e20, e23) = e23, yields:
% 35.98/9.47 | (6971) all_0_4_4 = e23
% 35.98/9.47 |
% 35.98/9.47 | From (546) and (201) follows:
% 35.98/9.47 | (557) op2(e22, all_0_94_94) = all_0_14_14
% 35.98/9.47 |
% 35.98/9.47 | From (546) and (81) follows:
% 35.98/9.47 | (558) op2(e22, e23) = all_0_12_12
% 35.98/9.47 |
% 35.98/9.47 | From (546) and (1504) follows:
% 35.98/9.47 | (6974) op2(e22, e20) = all_0_8_8
% 35.98/9.47 |
% 35.98/9.47 | From (546) and (53) follows:
% 35.98/9.47 | (6975) op2(all_0_94_94, e22) = all_0_21_21
% 35.98/9.47 |
% 35.98/9.47 | From (546) and (190) follows:
% 35.98/9.47 | (565) op2(e23, e22) = all_0_94_94
% 35.98/9.47 |
% 35.98/9.47 | From (6971) and (457) follows:
% 35.98/9.47 | (661) op2(e20, e23) = e23
% 35.98/9.47 |
% 35.98/9.47 | Instantiating formula (312) with e23, e22, all_0_94_94, e23 and discharging atoms op2(e23, e22) = all_0_94_94, op2(e23, e22) = e23, yields:
% 35.98/9.47 | (576) all_0_94_94 = e23
% 35.98/9.47 |
% 35.98/9.47 | Instantiating formula (312) with e22, e23, all_0_12_12, e21 and discharging atoms op2(e22, e23) = all_0_12_12, op2(e22, e23) = e21, yields:
% 35.98/9.47 | (6979) all_0_12_12 = e21
% 35.98/9.47 |
% 35.98/9.47 | Instantiating formula (312) with e22, e20, all_0_8_8, e23 and discharging atoms op2(e22, e20) = all_0_8_8, op2(e22, e20) = e23, yields:
% 35.98/9.47 | (1559) all_0_8_8 = e23
% 35.98/9.47 |
% 35.98/9.47 | From (576) and (6975) follows:
% 35.98/9.47 | (6981) op2(e23, e22) = all_0_21_21
% 35.98/9.47 |
% 35.98/9.47 | From (576) and (565) follows:
% 35.98/9.47 | (412) op2(e23, e22) = e23
% 35.98/9.47 |
% 35.98/9.47 | From (576) and (557) follows:
% 35.98/9.47 | (603) op2(e22, e23) = all_0_14_14
% 35.98/9.47 |
% 35.98/9.47 | From (6979) and (558) follows:
% 35.98/9.47 | (2703) op2(e22, e23) = e21
% 35.98/9.47 |
% 35.98/9.47 | From (1559) and (6974) follows:
% 35.98/9.47 | (6149) op2(e22, e20) = e23
% 35.98/9.47 |
% 35.98/9.47 | From (576) and (455) follows:
% 35.98/9.47 | (609) op2(e20, e23) = all_0_6_6
% 35.98/9.47 |
% 35.98/9.47 | Instantiating formula (312) with e23, e22, all_0_21_21, e23 and discharging atoms op2(e23, e22) = all_0_21_21, op2(e23, e22) = e23, yields:
% 35.98/9.47 | (2007) all_0_21_21 = e23
% 35.98/9.47 |
% 35.98/9.47 | Instantiating formula (312) with e22, e23, all_0_14_14, e21 and discharging atoms op2(e22, e23) = all_0_14_14, op2(e22, e23) = e21, yields:
% 35.98/9.47 | (6988) all_0_14_14 = e21
% 35.98/9.47 |
% 35.98/9.47 | Instantiating formula (312) with e20, e23, all_0_6_6, e23 and discharging atoms op2(e20, e23) = all_0_6_6, op2(e20, e23) = e23, yields:
% 35.98/9.48 | (6989) all_0_6_6 = e23
% 35.98/9.48 |
% 35.98/9.48 | From (2007) and (6981) follows:
% 35.98/9.48 | (412) op2(e23, e22) = e23
% 35.98/9.48 |
% 35.98/9.48 | From (6988) and (603) follows:
% 35.98/9.48 | (2703) op2(e22, e23) = e21
% 35.98/9.48 |
% 35.98/9.48 | From (6989) and (609) follows:
% 35.98/9.48 | (661) op2(e20, e23) = e23
% 35.98/9.48 |
% 35.98/9.48 +-Applying beta-rule and splitting (277), into two cases.
% 35.98/9.48 |-Branch one:
% 35.98/9.48 | (637) unit2 = e23
% 35.98/9.48 |
% 35.98/9.48 | From (637) and (23) follows:
% 35.98/9.48 | (1462) op2(e23, e22) = e22
% 35.98/9.48 |
% 35.98/9.48 | From (637) and (105) follows:
% 35.98/9.48 | (640) op2(e21, e23) = e21
% 35.98/9.48 |
% 35.98/9.48 | From (637) and (202) follows:
% 35.98/9.48 | (1896) op2(e20, e23) = e20
% 35.98/9.48 |
% 35.98/9.48 | Instantiating formula (312) with e23, e22, e22, e23 and discharging atoms op2(e23, e22) = e23, op2(e23, e22) = e22, yields:
% 35.98/9.48 | (442) e23 = e22
% 35.98/9.48 |
% 35.98/9.48 | Instantiating formula (312) with e21, e23, e21, e22 and discharging atoms op2(e21, e23) = e22, op2(e21, e23) = e21, yields:
% 35.98/9.48 | (533) e22 = e21
% 35.98/9.48 |
% 35.98/9.48 | Instantiating formula (312) with e20, e23, e20, e23 and discharging atoms op2(e20, e23) = e23, op2(e20, e23) = e20, yields:
% 35.98/9.48 | (521) e23 = e20
% 35.98/9.48 |
% 35.98/9.48 | Combining equations (442,521) yields a new equation:
% 35.98/9.48 | (644) e22 = e20
% 35.98/9.48 |
% 35.98/9.48 | Simplifying 644 yields:
% 35.98/9.48 | (645) e22 = e20
% 35.98/9.48 |
% 35.98/9.48 | Combining equations (645,533) yields a new equation:
% 35.98/9.48 | (476) e21 = e20
% 35.98/9.48 |
% 35.98/9.48 | Equations (476) can reduce 280 to:
% 35.98/9.48 | (401) $false
% 35.98/9.48 |
% 35.98/9.48 |-The branch is then unsatisfiable
% 35.98/9.48 |-Branch two:
% 35.98/9.48 | (649) ~ (unit2 = e23)
% 35.98/9.48 | (650) unit2 = e22 | unit2 = e21 | unit2 = e20
% 35.98/9.48 |
% 35.98/9.48 +-Applying beta-rule and splitting (650), into two cases.
% 35.98/9.48 |-Branch one:
% 35.98/9.48 | (651) unit2 = e22
% 35.98/9.48 |
% 35.98/9.48 | From (651) and (299) follows:
% 35.98/9.48 | (420) op2(e22, e23) = e23
% 35.98/9.48 |
% 35.98/9.48 | From (651) and (172) follows:
% 35.98/9.48 | (2723) op2(e22, e20) = e20
% 35.98/9.48 |
% 35.98/9.48 | Instantiating formula (312) with e22, e23, e23, e21 and discharging atoms op2(e22, e23) = e23, op2(e22, e23) = e21, yields:
% 35.98/9.48 | (482) e23 = e21
% 35.98/9.48 |
% 35.98/9.48 | Instantiating formula (312) with e22, e20, e20, e23 and discharging atoms op2(e22, e20) = e23, op2(e22, e20) = e20, yields:
% 35.98/9.48 | (521) e23 = e20
% 35.98/9.48 |
% 35.98/9.48 | Combining equations (521,482) yields a new equation:
% 35.98/9.48 | (476) e21 = e20
% 35.98/9.48 |
% 35.98/9.48 | Equations (476) can reduce 280 to:
% 35.98/9.48 | (401) $false
% 35.98/9.48 |
% 35.98/9.48 |-The branch is then unsatisfiable
% 35.98/9.48 |-Branch two:
% 35.98/9.48 | (658) ~ (unit2 = e22)
% 35.98/9.48 | (659) unit2 = e21 | unit2 = e20
% 35.98/9.48 |
% 35.98/9.48 +-Applying beta-rule and splitting (659), into two cases.
% 35.98/9.48 |-Branch one:
% 35.98/9.48 | (660) unit2 = e20
% 35.98/9.48 |
% 35.98/9.48 | From (660) and (171) follows:
% 35.98/9.48 | (1037) op2(e20, e21) = e21
% 35.98/9.48 |
% 35.98/9.48 | Instantiating formula (312) with e20, e21, e21, e22 and discharging atoms op2(e20, e21) = e22, op2(e20, e21) = e21, yields:
% 35.98/9.48 | (533) e22 = e21
% 35.98/9.48 |
% 35.98/9.48 | Equations (533) can reduce 28 to:
% 35.98/9.48 | (401) $false
% 35.98/9.48 |
% 35.98/9.48 |-The branch is then unsatisfiable
% 35.98/9.48 |-Branch two:
% 35.98/9.48 | (668) ~ (unit2 = e20)
% 35.98/9.48 | (669) unit2 = e21
% 35.98/9.48 |
% 35.98/9.48 | Equations (669) can reduce 668 to:
% 35.98/9.48 | (280) ~ (e21 = e20)
% 35.98/9.48 |
% 35.98/9.48 | From (669) and (299) follows:
% 35.98/9.48 | (671) op2(e21, e23) = e23
% 35.98/9.48 |
% 35.98/9.48 | From (669) and (105) follows:
% 35.98/9.48 | (673) op2(e21, e21) = e21
% 35.98/9.48 |
% 35.98/9.48 | From (669) and (202) follows:
% 35.98/9.48 | (469) op2(e20, e21) = e20
% 35.98/9.48 |
% 35.98/9.48 | Instantiating formula (312) with e21, e23, e23, e22 and discharging atoms op2(e21, e23) = e23, op2(e21, e23) = e22, yields:
% 35.98/9.48 | (442) e23 = e22
% 35.98/9.48 |
% 35.98/9.48 | Instantiating formula (312) with e21, e21, e21, e23 and discharging atoms op2(e21, e21) = e23, op2(e21, e21) = e21, yields:
% 35.98/9.48 | (482) e23 = e21
% 35.98/9.48 |
% 35.98/9.48 | Instantiating formula (312) with e20, e21, e20, e22 and discharging atoms op2(e20, e21) = e22, op2(e20, e21) = e20, yields:
% 35.98/9.48 | (645) e22 = e20
% 35.98/9.48 |
% 35.98/9.48 | Combining equations (482,442) yields a new equation:
% 35.98/9.48 | (533) e22 = e21
% 35.98/9.48 |
% 35.98/9.48 | Combining equations (533,645) yields a new equation:
% 35.98/9.48 | (646) e21 = e20
% 35.98/9.48 |
% 35.98/9.48 | Simplifying 646 yields:
% 35.98/9.48 | (476) e21 = e20
% 35.98/9.48 |
% 35.98/9.48 | Equations (476) can reduce 280 to:
% 35.98/9.48 | (401) $false
% 35.98/9.48 |
% 35.98/9.48 |-The branch is then unsatisfiable
% 35.98/9.48 |-Branch two:
% 35.98/9.48 | (471) ~ (all_0_104_104 = e22)
% 35.98/9.48 | (536) all_0_105_105 = e22 | all_0_106_106 = e22
% 35.98/9.48 |
% 35.98/9.48 +-Applying beta-rule and splitting (1430), into two cases.
% 35.98/9.48 |-Branch one:
% 35.98/9.48 | (532) all_0_104_104 = e22
% 35.98/9.48 |
% 35.98/9.48 | Equations (532) can reduce 471 to:
% 35.98/9.48 | (401) $false
% 35.98/9.48 |
% 35.98/9.48 |-The branch is then unsatisfiable
% 35.98/9.48 |-Branch two:
% 35.98/9.48 | (471) ~ (all_0_104_104 = e22)
% 35.98/9.48 | (499) all_0_104_104 = e21
% 35.98/9.48 |
% 35.98/9.48 | Equations (499) can reduce 698 to:
% 35.98/9.48 | (401) $false
% 35.98/9.48 |
% 35.98/9.48 |-The branch is then unsatisfiable
% 35.98/9.48 |-Branch two:
% 35.98/9.48 | (855) ~ (all_0_109_109 = e22)
% 35.98/9.48 | (860) all_0_109_109 = e21 | all_0_109_109 = e20
% 35.98/9.48 |
% 35.98/9.48 +-Applying beta-rule and splitting (860), into two cases.
% 35.98/9.48 |-Branch one:
% 35.98/9.48 | (464) all_0_109_109 = e20
% 35.98/9.48 |
% 35.98/9.48 | Equations (464) can reduce 715 to:
% 35.98/9.48 | (401) $false
% 35.98/9.48 |
% 35.98/9.48 |-The branch is then unsatisfiable
% 35.98/9.48 |-Branch two:
% 35.98/9.48 | (715) ~ (all_0_109_109 = e20)
% 35.98/9.48 | (695) all_0_109_109 = e21
% 35.98/9.48 |
% 35.98/9.48 | Equations (695) can reduce 1541 to:
% 35.98/9.48 | (401) $false
% 35.98/9.48 |
% 35.98/9.48 |-The branch is then unsatisfiable
% 35.98/9.48 |-Branch two:
% 35.98/9.48 | (2117) ~ (all_0_108_108 = e21)
% 35.98/9.48 | (695) all_0_109_109 = e21
% 35.98/9.48 |
% 35.98/9.48 | Equations (695) can reduce 1541 to:
% 35.98/9.48 | (401) $false
% 35.98/9.48 |
% 35.98/9.48 |-The branch is then unsatisfiable
% 35.98/9.48 |-Branch two:
% 35.98/9.48 | (1091) ~ (all_0_102_102 = e22)
% 35.98/9.48 | (1092) all_0_106_106 = e22 | all_0_110_110 = e22
% 35.98/9.48 |
% 35.98/9.48 +-Applying beta-rule and splitting (6182), into two cases.
% 35.98/9.48 |-Branch one:
% 35.98/9.48 | (519) all_0_103_103 = e20
% 35.98/9.48 |
% 35.98/9.48 | Equations (519) can reduce 523 to:
% 35.98/9.48 | (401) $false
% 35.98/9.48 |
% 35.98/9.48 |-The branch is then unsatisfiable
% 35.98/9.48 |-Branch two:
% 35.98/9.48 | (523) ~ (all_0_103_103 = e20)
% 35.98/9.48 | (480) all_0_103_103 = e21
% 35.98/9.48 |
% 35.98/9.48 | Equations (480) can reduce 1358 to:
% 35.98/9.48 | (486) ~ (e23 = e21)
% 35.98/9.48 |
% 35.98/9.48 | Simplifying 486 yields:
% 35.98/9.48 | (279) ~ (e23 = e21)
% 35.98/9.48 |
% 35.98/9.48 | Equations (480) can reduce 523 to:
% 35.98/9.48 | (280) ~ (e21 = e20)
% 35.98/9.48 |
% 35.98/9.48 +-Applying beta-rule and splitting (283), into two cases.
% 35.98/9.48 |-Branch one:
% 35.98/9.48 | (494) all_0_100_100 = e21
% 35.98/9.48 |
% 35.98/9.48 | Combining equations (404,494) yields a new equation:
% 35.98/9.48 | (481) e23 = e21
% 35.98/9.48 |
% 35.98/9.48 | Simplifying 481 yields:
% 35.98/9.48 | (482) e23 = e21
% 35.98/9.48 |
% 35.98/9.48 | Equations (482) can reduce 279 to:
% 35.98/9.48 | (401) $false
% 35.98/9.48 |
% 35.98/9.48 |-The branch is then unsatisfiable
% 35.98/9.48 |-Branch two:
% 35.98/9.48 | (497) ~ (all_0_100_100 = e21)
% 35.98/9.48 | (498) all_0_104_104 = e21 | all_0_108_108 = e21
% 35.98/9.48 |
% 35.98/9.48 | Equations (404) can reduce 497 to:
% 35.98/9.48 | (279) ~ (e23 = e21)
% 35.98/9.48 |
% 35.98/9.48 +-Applying beta-rule and splitting (98), into two cases.
% 35.98/9.48 |-Branch one:
% 35.98/9.48 | (475) all_0_99_99 = e21
% 35.98/9.48 |
% 35.98/9.48 | Combining equations (447,475) yields a new equation:
% 35.98/9.48 | (476) e21 = e20
% 35.98/9.48 |
% 35.98/9.48 | Equations (476) can reduce 280 to:
% 35.98/9.48 | (401) $false
% 35.98/9.48 |
% 35.98/9.48 |-The branch is then unsatisfiable
% 35.98/9.48 |-Branch two:
% 35.98/9.48 | (478) ~ (all_0_99_99 = e21)
% 35.98/9.48 | (1536) all_0_100_100 = e21 | all_0_101_101 = e21
% 35.98/9.48 |
% 35.98/9.48 +-Applying beta-rule and splitting (1536), into two cases.
% 35.98/9.48 |-Branch one:
% 35.98/9.48 | (494) all_0_100_100 = e21
% 35.98/9.48 |
% 35.98/9.48 | Combining equations (404,494) yields a new equation:
% 35.98/9.48 | (481) e23 = e21
% 35.98/9.48 |
% 35.98/9.48 | Simplifying 481 yields:
% 35.98/9.48 | (482) e23 = e21
% 35.98/9.48 |
% 35.98/9.48 | Equations (482) can reduce 279 to:
% 35.98/9.48 | (401) $false
% 35.98/9.48 |
% 35.98/9.48 |-The branch is then unsatisfiable
% 35.98/9.48 |-Branch two:
% 35.98/9.48 | (497) ~ (all_0_100_100 = e21)
% 35.98/9.48 | (526) all_0_101_101 = e21
% 35.98/9.48 |
% 35.98/9.48 | Equations (526) can reduce 146 to:
% 35.98/9.48 | (1540) ~ (all_0_109_109 = e21)
% 35.98/9.48 |
% 35.98/9.48 | Simplifying 1540 yields:
% 35.98/9.48 | (1541) ~ (all_0_109_109 = e21)
% 35.98/9.48 |
% 35.98/9.48 +-Applying beta-rule and splitting (13), into two cases.
% 35.98/9.48 |-Branch one:
% 35.98/9.48 | (857) all_0_109_109 = e22
% 35.98/9.48 |
% 35.98/9.48 | Equations (857) can reduce 314 to:
% 35.98/9.48 | (805) ~ (e23 = e22)
% 35.98/9.48 |
% 35.98/9.48 | Simplifying 805 yields:
% 35.98/9.48 | (108) ~ (e23 = e22)
% 35.98/9.48 |
% 35.98/9.48 | Equations (857) can reduce 715 to:
% 35.98/9.48 | (304) ~ (e22 = e20)
% 35.98/9.48 |
% 35.98/9.48 +-Applying beta-rule and splitting (1092), into two cases.
% 35.98/9.48 |-Branch one:
% 35.98/9.48 | (683) all_0_106_106 = e22
% 35.98/9.48 |
% 35.98/9.48 | Combining equations (437,683) yields a new equation:
% 35.98/9.48 | (796) e23 = e22
% 35.98/9.48 |
% 35.98/9.48 | Simplifying 796 yields:
% 35.98/9.48 | (442) e23 = e22
% 35.98/9.48 |
% 35.98/9.48 | Equations (442) can reduce 108 to:
% 35.98/9.48 | (401) $false
% 35.98/9.48 |
% 35.98/9.48 |-The branch is then unsatisfiable
% 35.98/9.48 |-Branch two:
% 35.98/9.48 | (804) ~ (all_0_106_106 = e22)
% 35.98/9.48 | (1082) all_0_110_110 = e22
% 35.98/9.48 |
% 35.98/9.48 | Combining equations (1082,687) yields a new equation:
% 35.98/9.48 | (644) e22 = e20
% 35.98/9.48 |
% 35.98/9.48 | Simplifying 644 yields:
% 35.98/9.48 | (645) e22 = e20
% 35.98/9.48 |
% 35.98/9.48 | Equations (645) can reduce 304 to:
% 35.98/9.48 | (401) $false
% 35.98/9.48 |
% 35.98/9.48 |-The branch is then unsatisfiable
% 35.98/9.48 |-Branch two:
% 35.98/9.48 | (855) ~ (all_0_109_109 = e22)
% 35.98/9.48 | (860) all_0_109_109 = e21 | all_0_109_109 = e20
% 35.98/9.48 |
% 35.98/9.48 +-Applying beta-rule and splitting (860), into two cases.
% 35.98/9.48 |-Branch one:
% 35.98/9.48 | (464) all_0_109_109 = e20
% 35.98/9.48 |
% 35.98/9.48 | Equations (464) can reduce 715 to:
% 35.98/9.48 | (401) $false
% 35.98/9.48 |
% 35.98/9.48 |-The branch is then unsatisfiable
% 35.98/9.48 |-Branch two:
% 35.98/9.48 | (715) ~ (all_0_109_109 = e20)
% 35.98/9.48 | (695) all_0_109_109 = e21
% 35.98/9.48 |
% 35.98/9.48 | Equations (695) can reduce 1541 to:
% 35.98/9.48 | (401) $false
% 35.98/9.48 |
% 35.98/9.48 |-The branch is then unsatisfiable
% 35.98/9.48 |-Branch two:
% 35.98/9.48 | (834) ~ (all_0_105_105 = e20)
% 35.98/9.48 | (529) all_0_106_106 = e20
% 35.98/9.48 |
% 35.98/9.48 | Combining equations (437,529) yields a new equation:
% 35.98/9.48 | (520) e23 = e20
% 35.98/9.48 |
% 35.98/9.48 | Simplifying 520 yields:
% 35.98/9.48 | (521) e23 = e20
% 35.98/9.48 |
% 35.98/9.48 | Equations (521) can reduce 44 to:
% 35.98/9.48 | (401) $false
% 35.98/9.48 |
% 35.98/9.48 |-The branch is then unsatisfiable
% 35.98/9.48 |-Branch two:
% 35.98/9.48 | (719) ~ (all_0_99_99 = e20)
% 35.98/9.48 | (720) all_0_103_103 = e20 | all_0_107_107 = e20
% 35.98/9.48 |
% 35.98/9.48 +-Applying beta-rule and splitting (436), into two cases.
% 35.98/9.48 |-Branch one:
% 35.98/9.48 | (447) all_0_99_99 = e20
% 35.98/9.48 |
% 35.98/9.48 | Equations (447) can reduce 719 to:
% 35.98/9.48 | (401) $false
% 35.98/9.48 |
% 35.98/9.48 |-The branch is then unsatisfiable
% 35.98/9.48 |-Branch two:
% 35.98/9.48 | (719) ~ (all_0_99_99 = e20)
% 35.98/9.48 | (475) all_0_99_99 = e21
% 35.98/9.48 |
% 35.98/9.48 | Equations (475) can reduce 184 to:
% 35.98/9.48 | (725) ~ (all_0_101_101 = e21)
% 35.98/9.48 |
% 35.98/9.48 | Simplifying 725 yields:
% 35.98/9.48 | (690) ~ (all_0_101_101 = e21)
% 35.98/9.48 |
% 35.98/9.48 | Equations (475) can reduce 31 to:
% 35.98/9.48 | (727) ~ (all_0_102_102 = e21)
% 35.98/9.48 |
% 35.98/9.48 | Simplifying 727 yields:
% 35.98/9.48 | (308) ~ (all_0_102_102 = e21)
% 35.98/9.48 |
% 35.98/9.48 | Equations (475) can reduce 156 to:
% 35.98/9.48 | (7113) ~ (all_0_103_103 = e21)
% 35.98/9.48 |
% 35.98/9.48 | Simplifying 7113 yields:
% 35.98/9.48 | (484) ~ (all_0_103_103 = e21)
% 35.98/9.48 |
% 35.98/9.48 | Equations (475) can reduce 399 to:
% 35.98/9.48 | (486) ~ (e23 = e21)
% 35.98/9.48 |
% 35.98/9.48 | Simplifying 486 yields:
% 35.98/9.48 | (279) ~ (e23 = e21)
% 35.98/9.48 |
% 35.98/9.48 | From (475) and (39) follows:
% 35.98/9.48 | (733) op2(all_0_93_93, e21) = all_0_8_8
% 35.98/9.48 |
% 35.98/9.48 | From (475) and (11) follows:
% 35.98/9.48 | (734) op2(all_0_94_94, e21) = all_0_19_19
% 35.98/9.48 |
% 35.98/9.48 | From (475) and (150) follows:
% 35.98/9.48 | (735) op2(e21, all_0_93_93) = all_0_2_2
% 35.98/9.48 |
% 35.98/9.48 | From (475) and (40) follows:
% 35.98/9.48 | (736) op2(e21, all_0_94_94) = all_0_6_6
% 35.98/9.48 |
% 35.98/9.48 | From (475)(475) and (292) follows:
% 35.98/9.48 | (737) op2(e21, e21) = all_0_0_0
% 35.98/9.48 |
% 35.98/9.48 | From (475) and (344) follows:
% 35.98/9.48 | (738) op2(e21, e23) = all_0_4_4
% 35.98/9.48 |
% 35.98/9.48 | From (475) and (79) follows:
% 35.98/9.48 | (739) op2(e23, e21) = all_0_93_93
% 35.98/9.48 |
% 35.98/9.48 +-Applying beta-rule and splitting (6182), into two cases.
% 35.98/9.48 |-Branch one:
% 35.98/9.48 | (519) all_0_103_103 = e20
% 35.98/9.48 |
% 35.98/9.48 | Equations (519) can reduce 220 to:
% 35.98/9.48 | (7125) ~ (all_0_104_104 = e20)
% 35.98/9.48 |
% 35.98/9.48 | Simplifying 7125 yields:
% 35.98/9.48 | (161) ~ (all_0_104_104 = e20)
% 35.98/9.48 |
% 35.98/9.48 | Equations (519) can reduce 144 to:
% 35.98/9.48 | (2549) ~ (all_0_105_105 = e20)
% 35.98/9.48 |
% 35.98/9.48 | Simplifying 2549 yields:
% 35.98/9.48 | (834) ~ (all_0_105_105 = e20)
% 35.98/9.48 |
% 35.98/9.48 | Equations (519) can reduce 106 to:
% 35.98/9.48 | (751) ~ (e22 = e20)
% 35.98/9.48 |
% 35.98/9.48 | Simplifying 751 yields:
% 35.98/9.48 | (304) ~ (e22 = e20)
% 35.98/9.48 |
% 35.98/9.48 | Equations (519) can reduce 484 to:
% 35.98/9.48 | (530) ~ (e21 = e20)
% 35.98/9.48 |
% 35.98/9.48 | Simplifying 530 yields:
% 35.98/9.48 | (280) ~ (e21 = e20)
% 35.98/9.48 |
% 35.98/9.48 | Instantiating formula (312) with e23, e21, all_0_93_93, all_0_101_101 and discharging atoms op2(e23, e21) = all_0_93_93, op2(e23, e21) = all_0_101_101, yields:
% 35.98/9.48 | (759) all_0_93_93 = all_0_101_101
% 35.98/9.48 |
% 35.98/9.48 | Instantiating formula (312) with e21, e23, all_0_4_4, e22 and discharging atoms op2(e21, e23) = all_0_4_4, op2(e21, e23) = e22, yields:
% 35.98/9.48 | (761) all_0_4_4 = e22
% 35.98/9.48 |
% 35.98/9.48 | Instantiating formula (312) with e21, e21, all_0_0_0, e23 and discharging atoms op2(e21, e21) = all_0_0_0, op2(e21, e21) = e23, yields:
% 35.98/9.48 | (554) all_0_0_0 = e23
% 35.98/9.48 |
% 35.98/9.48 | From (759) and (201) follows:
% 35.98/9.48 | (771) op2(all_0_101_101, all_0_94_94) = all_0_14_14
% 35.98/9.48 |
% 35.98/9.48 | From (759) and (81) follows:
% 35.98/9.48 | (772) op2(all_0_101_101, e23) = all_0_12_12
% 35.98/9.48 |
% 35.98/9.48 | From (759) and (733) follows:
% 35.98/9.48 | (773) op2(all_0_101_101, e21) = all_0_8_8
% 35.98/9.48 |
% 35.98/9.48 | From (759) and (53) follows:
% 35.98/9.48 | (7139) op2(all_0_94_94, all_0_101_101) = all_0_21_21
% 35.98/9.48 |
% 35.98/9.48 | From (759) and (190) follows:
% 35.98/9.48 | (777) op2(e23, all_0_101_101) = all_0_94_94
% 35.98/9.48 |
% 35.98/9.48 | From (759) and (739) follows:
% 35.98/9.48 | (250) op2(e23, e21) = all_0_101_101
% 35.98/9.48 |
% 35.98/9.48 | From (759) and (735) follows:
% 35.98/9.48 | (781) op2(e21, all_0_101_101) = all_0_2_2
% 35.98/9.48 |
% 35.98/9.48 | From (761) and (738) follows:
% 35.98/9.48 | (89) op2(e21, e23) = e22
% 35.98/9.48 |
% 35.98/9.48 | From (554) and (737) follows:
% 35.98/9.48 | (224) op2(e21, e21) = e23
% 35.98/9.48 |
% 35.98/9.48 +-Applying beta-rule and splitting (114), into two cases.
% 35.98/9.48 |-Branch one:
% 35.98/9.48 | (540) all_0_101_101 = e22
% 35.98/9.48 |
% 35.98/9.48 | Equations (540) can reduce 26 to:
% 35.98/9.49 | (6612) ~ (all_0_102_102 = e22)
% 35.98/9.49 |
% 35.98/9.49 | Simplifying 6612 yields:
% 35.98/9.49 | (1091) ~ (all_0_102_102 = e22)
% 35.98/9.49 |
% 35.98/9.49 | Equations (540) can reduce 178 to:
% 35.98/9.49 | (1006) ~ (all_0_105_105 = e22)
% 35.98/9.49 |
% 35.98/9.49 | Simplifying 1006 yields:
% 35.98/9.49 | (682) ~ (all_0_105_105 = e22)
% 35.98/9.49 |
% 35.98/9.49 | Equations (540) can reduce 146 to:
% 35.98/9.49 | (854) ~ (all_0_109_109 = e22)
% 35.98/9.49 |
% 35.98/9.49 | Simplifying 854 yields:
% 35.98/9.49 | (855) ~ (all_0_109_109 = e22)
% 35.98/9.49 |
% 35.98/9.49 | Equations (540) can reduce 3 to:
% 35.98/9.49 | (805) ~ (e23 = e22)
% 35.98/9.49 |
% 35.98/9.49 | Simplifying 805 yields:
% 35.98/9.49 | (108) ~ (e23 = e22)
% 35.98/9.49 |
% 35.98/9.49 | From (540) and (7139) follows:
% 35.98/9.49 | (6975) op2(all_0_94_94, e22) = all_0_21_21
% 35.98/9.49 |
% 35.98/9.49 | From (540) and (777) follows:
% 35.98/9.49 | (565) op2(e23, e22) = all_0_94_94
% 35.98/9.49 |
% 35.98/9.49 | From (540) and (781) follows:
% 35.98/9.49 | (1113) op2(e21, e22) = all_0_2_2
% 35.98/9.49 |
% 35.98/9.49 +-Applying beta-rule and splitting (341), into two cases.
% 35.98/9.49 |-Branch one:
% 35.98/9.49 | (537) all_0_105_105 = e22
% 35.98/9.49 |
% 35.98/9.49 | Equations (537) can reduce 682 to:
% 35.98/9.49 | (401) $false
% 35.98/9.49 |
% 35.98/9.49 |-The branch is then unsatisfiable
% 35.98/9.49 |-Branch two:
% 35.98/9.49 | (682) ~ (all_0_105_105 = e22)
% 35.98/9.49 | (969) all_0_105_105 = e21 | all_0_105_105 = e20
% 35.98/9.49 |
% 35.98/9.49 +-Applying beta-rule and splitting (311), into two cases.
% 35.98/9.49 |-Branch one:
% 35.98/9.49 | (447) all_0_99_99 = e20
% 35.98/9.49 |
% 35.98/9.49 | Combining equations (475,447) yields a new equation:
% 35.98/9.49 | (646) e21 = e20
% 35.98/9.49 |
% 35.98/9.49 | Simplifying 646 yields:
% 35.98/9.49 | (476) e21 = e20
% 35.98/9.49 |
% 35.98/9.49 | Equations (476) can reduce 280 to:
% 35.98/9.49 | (401) $false
% 35.98/9.49 |
% 35.98/9.49 |-The branch is then unsatisfiable
% 35.98/9.49 |-Branch two:
% 35.98/9.49 | (719) ~ (all_0_99_99 = e20)
% 35.98/9.49 | (813) all_0_101_101 = e20 | all_0_102_102 = e20
% 35.98/9.49 |
% 35.98/9.49 +-Applying beta-rule and splitting (813), into two cases.
% 35.98/9.49 |-Branch one:
% 35.98/9.49 | (821) all_0_101_101 = e20
% 35.98/9.49 |
% 35.98/9.49 | Combining equations (540,821) yields a new equation:
% 35.98/9.49 | (644) e22 = e20
% 35.98/9.49 |
% 35.98/9.49 | Simplifying 644 yields:
% 35.98/9.49 | (645) e22 = e20
% 35.98/9.49 |
% 35.98/9.49 | Equations (645) can reduce 304 to:
% 35.98/9.49 | (401) $false
% 35.98/9.49 |
% 35.98/9.49 |-The branch is then unsatisfiable
% 35.98/9.49 |-Branch two:
% 35.98/9.49 | (1086) ~ (all_0_101_101 = e20)
% 35.98/9.49 | (515) all_0_102_102 = e20
% 35.98/9.49 |
% 35.98/9.49 | Equations (515) can reduce 1091 to:
% 35.98/9.49 | (751) ~ (e22 = e20)
% 35.98/9.49 |
% 35.98/9.49 | Simplifying 751 yields:
% 35.98/9.49 | (304) ~ (e22 = e20)
% 35.98/9.49 |
% 35.98/9.49 | Equations (515) can reduce 308 to:
% 35.98/9.49 | (530) ~ (e21 = e20)
% 35.98/9.49 |
% 35.98/9.49 | Simplifying 530 yields:
% 35.98/9.49 | (280) ~ (e21 = e20)
% 35.98/9.49 |
% 35.98/9.49 | From (515) and (199) follows:
% 35.98/9.49 | (923) op2(e23, e20) = e20
% 35.98/9.49 |
% 35.98/9.49 +-Applying beta-rule and splitting (361), into two cases.
% 35.98/9.49 |-Branch one:
% 35.98/9.49 | (821) all_0_101_101 = e20
% 35.98/9.49 |
% 35.98/9.49 | Combining equations (540,821) yields a new equation:
% 35.98/9.49 | (644) e22 = e20
% 35.98/9.49 |
% 35.98/9.49 | Simplifying 644 yields:
% 35.98/9.49 | (645) e22 = e20
% 35.98/9.49 |
% 35.98/9.49 | Equations (645) can reduce 304 to:
% 35.98/9.49 | (401) $false
% 35.98/9.49 |
% 35.98/9.49 |-The branch is then unsatisfiable
% 35.98/9.49 |-Branch two:
% 35.98/9.49 | (1086) ~ (all_0_101_101 = e20)
% 35.98/9.49 | (1129) all_0_105_105 = e20 | all_0_109_109 = e20
% 35.98/9.49 |
% 35.98/9.49 +-Applying beta-rule and splitting (1129), into two cases.
% 35.98/9.49 |-Branch one:
% 35.98/9.49 | (986) all_0_105_105 = e20
% 35.98/9.49 |
% 35.98/9.49 | Equations (986) can reduce 834 to:
% 35.98/9.49 | (401) $false
% 35.98/9.49 |
% 35.98/9.49 |-The branch is then unsatisfiable
% 35.98/9.49 |-Branch two:
% 35.98/9.49 | (834) ~ (all_0_105_105 = e20)
% 35.98/9.49 | (464) all_0_109_109 = e20
% 35.98/9.49 |
% 35.98/9.49 | Equations (464) can reduce 245 to:
% 35.98/9.49 | (834) ~ (all_0_105_105 = e20)
% 35.98/9.49 |
% 35.98/9.49 | Equations (464) can reduce 855 to:
% 35.98/9.49 | (751) ~ (e22 = e20)
% 35.98/9.49 |
% 35.98/9.49 | Simplifying 751 yields:
% 35.98/9.49 | (304) ~ (e22 = e20)
% 35.98/9.49 |
% 35.98/9.49 | From (464) and (175) follows:
% 35.98/9.49 | (469) op2(e20, e21) = e20
% 35.98/9.49 |
% 35.98/9.49 +-Applying beta-rule and splitting (218), into two cases.
% 35.98/9.49 |-Branch one:
% 35.98/9.49 | (544) all_0_102_102 = e22
% 35.98/9.49 |
% 35.98/9.49 | Combining equations (515,544) yields a new equation:
% 35.98/9.49 | (645) e22 = e20
% 35.98/9.49 |
% 35.98/9.49 | Equations (645) can reduce 304 to:
% 35.98/9.49 | (401) $false
% 35.98/9.49 |
% 35.98/9.49 |-The branch is then unsatisfiable
% 35.98/9.49 |-Branch two:
% 35.98/9.49 | (1091) ~ (all_0_102_102 = e22)
% 35.98/9.49 | (1092) all_0_106_106 = e22 | all_0_110_110 = e22
% 35.98/9.49 |
% 35.98/9.49 +-Applying beta-rule and splitting (1092), into two cases.
% 35.98/9.49 |-Branch one:
% 35.98/9.49 | (683) all_0_106_106 = e22
% 35.98/9.49 |
% 35.98/9.49 | Combining equations (683,437) yields a new equation:
% 35.98/9.49 | (442) e23 = e22
% 35.98/9.49 |
% 35.98/9.49 | Equations (442) can reduce 108 to:
% 35.98/9.49 | (401) $false
% 35.98/9.49 |
% 35.98/9.49 |-The branch is then unsatisfiable
% 35.98/9.49 |-Branch two:
% 35.98/9.49 | (804) ~ (all_0_106_106 = e22)
% 35.98/9.49 | (1082) all_0_110_110 = e22
% 35.98/9.49 |
% 35.98/9.49 | Equations (1082) can reduce 1383 to:
% 35.98/9.49 | (805) ~ (e23 = e22)
% 35.98/9.49 |
% 35.98/9.49 | Simplifying 805 yields:
% 35.98/9.49 | (108) ~ (e23 = e22)
% 35.98/9.49 |
% 35.98/9.49 | From (1082) and (309) follows:
% 35.98/9.49 | (1622) op2(all_0_97_97, e22) = all_0_74_74
% 35.98/9.49 |
% 35.98/9.49 | From (1082) and (52) follows:
% 35.98/9.49 | (1623) op2(all_0_98_98, e22) = all_0_85_85
% 35.98/9.49 |
% 35.98/9.49 | From (1082) and (93) follows:
% 35.98/9.49 | (1625) op2(e22, all_0_98_98) = all_0_72_72
% 35.98/9.49 |
% 35.98/9.49 | From (1082) and (234) follows:
% 35.98/9.49 | (7207) op2(e22, e20) = all_0_70_70
% 35.98/9.49 |
% 35.98/9.49 | From (1082) and (69) follows:
% 35.98/9.49 | (1627) op2(e20, e22) = all_0_97_97
% 35.98/9.49 |
% 35.98/9.49 +-Applying beta-rule and splitting (116), into two cases.
% 35.98/9.49 |-Branch one:
% 35.98/9.49 | (441) all_0_100_100 = e22
% 35.98/9.49 |
% 35.98/9.49 | Combining equations (404,441) yields a new equation:
% 35.98/9.49 | (796) e23 = e22
% 35.98/9.49 |
% 35.98/9.49 | Simplifying 796 yields:
% 35.98/9.49 | (442) e23 = e22
% 35.98/9.49 |
% 35.98/9.49 | Equations (442) can reduce 108 to:
% 35.98/9.49 | (401) $false
% 35.98/9.49 |
% 35.98/9.49 |-The branch is then unsatisfiable
% 35.98/9.49 |-Branch two:
% 35.98/9.49 | (444) ~ (all_0_100_100 = e22)
% 35.98/9.49 | (800) all_0_104_104 = e22 | all_0_108_108 = e22
% 35.98/9.49 |
% 35.98/9.49 | Equations (404) can reduce 444 to:
% 35.98/9.49 | (108) ~ (e23 = e22)
% 35.98/9.49 |
% 35.98/9.49 +-Applying beta-rule and splitting (12), into two cases.
% 35.98/9.49 |-Branch one:
% 35.98/9.49 | (532) all_0_104_104 = e22
% 35.98/9.49 |
% 35.98/9.49 | Equations (532) can reduce 214 to:
% 35.98/9.49 | (2495) ~ (all_0_108_108 = e22)
% 35.98/9.49 |
% 35.98/9.49 | Simplifying 2495 yields:
% 35.98/9.49 | (703) ~ (all_0_108_108 = e22)
% 35.98/9.49 |
% 35.98/9.49 +-Applying beta-rule and splitting (50), into two cases.
% 35.98/9.49 |-Branch one:
% 35.98/9.49 | (480) all_0_103_103 = e21
% 35.98/9.49 |
% 35.98/9.49 | Combining equations (519,480) yields a new equation:
% 35.98/9.49 | (476) e21 = e20
% 35.98/9.49 |
% 35.98/9.49 | Equations (476) can reduce 280 to:
% 35.98/9.49 | (401) $false
% 35.98/9.49 |
% 35.98/9.49 |-The branch is then unsatisfiable
% 35.98/9.49 |-Branch two:
% 35.98/9.49 | (484) ~ (all_0_103_103 = e21)
% 35.98/9.49 | (883) all_0_104_104 = e21 | all_0_105_105 = e21
% 35.98/9.49 |
% 35.98/9.49 +-Applying beta-rule and splitting (424), into two cases.
% 35.98/9.49 |-Branch one:
% 35.98/9.49 | (470) all_0_108_108 = e22
% 35.98/9.49 |
% 35.98/9.49 | Equations (470) can reduce 703 to:
% 35.98/9.49 | (401) $false
% 35.98/9.49 |
% 35.98/9.49 |-The branch is then unsatisfiable
% 35.98/9.49 |-Branch two:
% 35.98/9.49 | (703) ~ (all_0_108_108 = e22)
% 35.98/9.49 | (699) all_0_108_108 = e21
% 35.98/9.49 |
% 35.98/9.49 | Equations (699) can reduce 703 to:
% 35.98/9.49 | (488) ~ (e22 = e21)
% 35.98/9.49 |
% 35.98/9.49 | Simplifying 488 yields:
% 35.98/9.49 | (28) ~ (e22 = e21)
% 35.98/9.49 |
% 35.98/9.49 | From (699) and (152) follows:
% 35.98/9.49 | (1000) op2(e20, e22) = e21
% 35.98/9.49 |
% 35.98/9.49 +-Applying beta-rule and splitting (883), into two cases.
% 35.98/9.49 |-Branch one:
% 35.98/9.49 | (499) all_0_104_104 = e21
% 35.98/9.49 |
% 35.98/9.49 | Combining equations (499,532) yields a new equation:
% 35.98/9.49 | (533) e22 = e21
% 35.98/9.49 |
% 35.98/9.49 | Equations (533) can reduce 28 to:
% 35.98/9.49 | (401) $false
% 35.98/9.49 |
% 35.98/9.49 |-The branch is then unsatisfiable
% 35.98/9.49 |-Branch two:
% 35.98/9.49 | (698) ~ (all_0_104_104 = e21)
% 35.98/9.49 | (692) all_0_105_105 = e21
% 35.98/9.49 |
% 35.98/9.49 | Equations (692) can reduce 834 to:
% 35.98/9.49 | (280) ~ (e21 = e20)
% 35.98/9.49 |
% 35.98/9.49 | Instantiating formula (312) with e23, e22, all_0_94_94, e23 and discharging atoms op2(e23, e22) = all_0_94_94, op2(e23, e22) = e23, yields:
% 35.98/9.49 | (576) all_0_94_94 = e23
% 35.98/9.49 |
% 35.98/9.49 | Instantiating formula (312) with e22, e20, all_0_70_70, e23 and discharging atoms op2(e22, e20) = all_0_70_70, op2(e22, e20) = e23, yields:
% 35.98/9.49 | (7238) all_0_70_70 = e23
% 35.98/9.49 |
% 35.98/9.49 | Instantiating formula (312) with e21, e22, all_0_2_2, e20 and discharging atoms op2(e21, e22) = all_0_2_2, op2(e21, e22) = e20, yields:
% 35.98/9.49 | (1176) all_0_2_2 = e20
% 35.98/9.49 |
% 35.98/9.49 | Instantiating formula (312) with e20, e22, e21, all_0_97_97 and discharging atoms op2(e20, e22) = all_0_97_97, op2(e20, e22) = e21, yields:
% 35.98/9.49 | (2896) all_0_97_97 = e21
% 35.98/9.49 |
% 35.98/9.49 | From (576) and (6975) follows:
% 35.98/9.49 | (6981) op2(e23, e22) = all_0_21_21
% 35.98/9.49 |
% 35.98/9.49 | From (2896)(2896) and (306) follows:
% 35.98/9.49 | (490) op2(e21, e21) = all_0_76_76
% 35.98/9.49 |
% 35.98/9.49 | From (2896) and (1622) follows:
% 35.98/9.49 | (2901) op2(e21, e22) = all_0_74_74
% 35.98/9.49 |
% 35.98/9.49 | From (576) and (565) follows:
% 35.98/9.49 | (412) op2(e23, e22) = e23
% 35.98/9.49 |
% 35.98/9.49 | From (7238) and (7207) follows:
% 35.98/9.49 | (6149) op2(e22, e20) = e23
% 35.98/9.49 |
% 35.98/9.49 | From (576) and (736) follows:
% 35.98/9.49 | (1192) op2(e21, e23) = all_0_6_6
% 35.98/9.49 |
% 35.98/9.49 | From (1176) and (1113) follows:
% 35.98/9.49 | (151) op2(e21, e22) = e20
% 35.98/9.49 |
% 35.98/9.49 | From (2896) and (240) follows:
% 35.98/9.49 | (492) op2(e20, e21) = all_0_98_98
% 35.98/9.49 |
% 35.98/9.49 | From (2896) and (1627) follows:
% 35.98/9.49 | (1000) op2(e20, e22) = e21
% 35.98/9.49 |
% 35.98/9.49 | Instantiating formula (312) with e23, e22, all_0_21_21, e23 and discharging atoms op2(e23, e22) = all_0_21_21, op2(e23, e22) = e23, yields:
% 35.98/9.49 | (2007) all_0_21_21 = e23
% 35.98/9.49 |
% 35.98/9.49 | Instantiating formula (312) with e21, e23, all_0_6_6, e22 and discharging atoms op2(e21, e23) = all_0_6_6, op2(e21, e23) = e22, yields:
% 35.98/9.49 | (1200) all_0_6_6 = e22
% 35.98/9.49 |
% 35.98/9.49 | Instantiating formula (312) with e21, e22, all_0_74_74, e20 and discharging atoms op2(e21, e22) = all_0_74_74, op2(e21, e22) = e20, yields:
% 35.98/9.49 | (2920) all_0_74_74 = e20
% 35.98/9.49 |
% 35.98/9.49 | Instantiating formula (312) with e21, e21, all_0_76_76, e23 and discharging atoms op2(e21, e21) = all_0_76_76, op2(e21, e21) = e23, yields:
% 35.98/9.49 | (555) all_0_76_76 = e23
% 35.98/9.49 |
% 35.98/9.49 | Instantiating formula (312) with e20, e21, all_0_98_98, e20 and discharging atoms op2(e20, e21) = all_0_98_98, op2(e20, e21) = e20, yields:
% 35.98/9.49 | (553) all_0_98_98 = e20
% 35.98/9.49 |
% 35.98/9.49 | From (553) and (1623) follows:
% 35.98/9.49 | (1993) op2(e20, e22) = all_0_85_85
% 35.98/9.49 |
% 35.98/9.49 | From (2007) and (6981) follows:
% 35.98/9.49 | (412) op2(e23, e22) = e23
% 35.98/9.49 |
% 35.98/9.49 | From (553) and (1625) follows:
% 35.98/9.49 | (7257) op2(e22, e20) = all_0_72_72
% 35.98/9.49 |
% 35.98/9.49 | From (1200) and (1192) follows:
% 35.98/9.49 | (89) op2(e21, e23) = e22
% 35.98/9.49 |
% 35.98/9.49 | From (2920) and (2901) follows:
% 35.98/9.49 | (151) op2(e21, e22) = e20
% 35.98/9.49 |
% 35.98/9.49 | From (555) and (490) follows:
% 35.98/9.49 | (224) op2(e21, e21) = e23
% 35.98/9.50 |
% 35.98/9.50 | Instantiating formula (312) with e22, e20, all_0_72_72, e23 and discharging atoms op2(e22, e20) = all_0_72_72, op2(e22, e20) = e23, yields:
% 35.98/9.50 | (7261) all_0_72_72 = e23
% 35.98/9.50 |
% 35.98/9.50 | Instantiating formula (312) with e20, e22, all_0_85_85, e21 and discharging atoms op2(e20, e22) = all_0_85_85, op2(e20, e22) = e21, yields:
% 35.98/9.50 | (584) all_0_85_85 = e21
% 35.98/9.50 |
% 35.98/9.50 | From (7261) and (7257) follows:
% 35.98/9.50 | (6149) op2(e22, e20) = e23
% 35.98/9.50 |
% 35.98/9.50 | From (584) and (1993) follows:
% 35.98/9.50 | (1000) op2(e20, e22) = e21
% 35.98/9.50 |
% 35.98/9.50 +-Applying beta-rule and splitting (277), into two cases.
% 35.98/9.50 |-Branch one:
% 35.98/9.50 | (637) unit2 = e23
% 35.98/9.50 |
% 35.98/9.50 | From (637) and (23) follows:
% 35.98/9.50 | (1462) op2(e23, e22) = e22
% 35.98/9.50 |
% 35.98/9.50 | From (637) and (105) follows:
% 35.98/9.50 | (640) op2(e21, e23) = e21
% 35.98/9.50 |
% 35.98/9.50 | From (637) and (202) follows:
% 35.98/9.50 | (1896) op2(e20, e23) = e20
% 35.98/9.50 |
% 35.98/9.50 | Instantiating formula (312) with e23, e22, e22, e23 and discharging atoms op2(e23, e22) = e23, op2(e23, e22) = e22, yields:
% 35.98/9.50 | (442) e23 = e22
% 35.98/9.50 |
% 35.98/9.50 | Instantiating formula (312) with e21, e23, e21, e22 and discharging atoms op2(e21, e23) = e22, op2(e21, e23) = e21, yields:
% 35.98/9.50 | (533) e22 = e21
% 35.98/9.50 |
% 35.98/9.50 | Instantiating formula (312) with e20, e23, e20, e23 and discharging atoms op2(e20, e23) = e23, op2(e20, e23) = e20, yields:
% 35.98/9.50 | (521) e23 = e20
% 35.98/9.50 |
% 35.98/9.50 | Combining equations (442,521) yields a new equation:
% 35.98/9.50 | (644) e22 = e20
% 35.98/9.50 |
% 35.98/9.50 | Simplifying 644 yields:
% 35.98/9.50 | (645) e22 = e20
% 35.98/9.50 |
% 35.98/9.50 | Combining equations (645,533) yields a new equation:
% 35.98/9.50 | (476) e21 = e20
% 35.98/9.50 |
% 35.98/9.50 | Equations (476) can reduce 280 to:
% 35.98/9.50 | (401) $false
% 35.98/9.50 |
% 35.98/9.50 |-The branch is then unsatisfiable
% 35.98/9.50 |-Branch two:
% 35.98/9.50 | (649) ~ (unit2 = e23)
% 35.98/9.50 | (650) unit2 = e22 | unit2 = e21 | unit2 = e20
% 35.98/9.50 |
% 35.98/9.50 +-Applying beta-rule and splitting (650), into two cases.
% 35.98/9.50 |-Branch one:
% 35.98/9.50 | (651) unit2 = e22
% 35.98/9.50 |
% 35.98/9.50 | From (651) and (202) follows:
% 35.98/9.50 | (653) op2(e20, e22) = e20
% 35.98/9.50 |
% 35.98/9.50 | Instantiating formula (312) with e20, e22, e20, e21 and discharging atoms op2(e20, e22) = e21, op2(e20, e22) = e20, yields:
% 35.98/9.50 | (476) e21 = e20
% 35.98/9.50 |
% 35.98/9.50 | Equations (476) can reduce 280 to:
% 35.98/9.50 | (401) $false
% 35.98/9.50 |
% 35.98/9.50 |-The branch is then unsatisfiable
% 35.98/9.50 |-Branch two:
% 35.98/9.50 | (658) ~ (unit2 = e22)
% 35.98/9.50 | (659) unit2 = e21 | unit2 = e20
% 35.98/9.50 |
% 35.98/9.50 +-Applying beta-rule and splitting (659), into two cases.
% 35.98/9.50 |-Branch one:
% 35.98/9.50 | (660) unit2 = e20
% 35.98/9.50 |
% 35.98/9.50 | From (660) and (23) follows:
% 35.98/9.50 | (474) op2(e20, e22) = e22
% 35.98/9.50 |
% 35.98/9.50 | From (660) and (38) follows:
% 35.98/9.50 | (947) op2(e23, e20) = e23
% 35.98/9.50 |
% 35.98/9.50 | From (660) and (334) follows:
% 35.98/9.50 | (1098) op2(e22, e20) = e22
% 35.98/9.50 |
% 35.98/9.50 | Instantiating formula (312) with e23, e20, e23, e20 and discharging atoms op2(e23, e20) = e23, op2(e23, e20) = e20, yields:
% 35.98/9.50 | (521) e23 = e20
% 35.98/9.50 |
% 35.98/9.50 | Instantiating formula (312) with e22, e20, e22, e23 and discharging atoms op2(e22, e20) = e23, op2(e22, e20) = e22, yields:
% 35.98/9.50 | (442) e23 = e22
% 35.98/9.50 |
% 35.98/9.50 | Instantiating formula (312) with e20, e22, e22, e21 and discharging atoms op2(e20, e22) = e22, op2(e20, e22) = e21, yields:
% 35.98/9.50 | (533) e22 = e21
% 35.98/9.50 |
% 35.98/9.50 | Combining equations (442,521) yields a new equation:
% 35.98/9.50 | (644) e22 = e20
% 35.98/9.50 |
% 35.98/9.50 | Simplifying 644 yields:
% 35.98/9.50 | (645) e22 = e20
% 35.98/9.50 |
% 35.98/9.50 | Combining equations (533,645) yields a new equation:
% 35.98/9.50 | (646) e21 = e20
% 35.98/9.50 |
% 35.98/9.50 | Simplifying 646 yields:
% 35.98/9.50 | (476) e21 = e20
% 35.98/9.50 |
% 35.98/9.50 | Equations (476) can reduce 280 to:
% 35.98/9.50 | (401) $false
% 35.98/9.50 |
% 35.98/9.50 |-The branch is then unsatisfiable
% 35.98/9.50 |-Branch two:
% 35.98/9.50 | (668) ~ (unit2 = e20)
% 35.98/9.50 | (669) unit2 = e21
% 35.98/9.50 |
% 35.98/9.50 | Equations (669) can reduce 668 to:
% 35.98/9.50 | (280) ~ (e21 = e20)
% 35.98/9.50 |
% 35.98/9.50 | From (669) and (299) follows:
% 35.98/9.50 | (671) op2(e21, e23) = e23
% 35.98/9.50 |
% 35.98/9.50 | From (669) and (23) follows:
% 35.98/9.50 | (672) op2(e21, e22) = e22
% 35.98/9.50 |
% 35.98/9.50 | From (669) and (105) follows:
% 35.98/9.50 | (673) op2(e21, e21) = e21
% 35.98/9.50 |
% 35.98/9.50 | Instantiating formula (312) with e21, e23, e23, e22 and discharging atoms op2(e21, e23) = e23, op2(e21, e23) = e22, yields:
% 35.98/9.50 | (442) e23 = e22
% 35.98/9.50 |
% 35.98/9.50 | Instantiating formula (312) with e21, e22, e22, e20 and discharging atoms op2(e21, e22) = e22, op2(e21, e22) = e20, yields:
% 35.98/9.50 | (645) e22 = e20
% 35.98/9.50 |
% 35.98/9.50 | Instantiating formula (312) with e21, e21, e21, e23 and discharging atoms op2(e21, e21) = e23, op2(e21, e21) = e21, yields:
% 35.98/9.50 | (482) e23 = e21
% 35.98/9.50 |
% 35.98/9.50 | Combining equations (482,442) yields a new equation:
% 35.98/9.50 | (533) e22 = e21
% 35.98/9.50 |
% 35.98/9.50 | Combining equations (533,645) yields a new equation:
% 35.98/9.50 | (646) e21 = e20
% 35.98/9.50 |
% 35.98/9.50 | Simplifying 646 yields:
% 35.98/9.50 | (476) e21 = e20
% 35.98/9.50 |
% 35.98/9.50 | Equations (476) can reduce 280 to:
% 35.98/9.50 | (401) $false
% 35.98/9.50 |
% 35.98/9.50 |-The branch is then unsatisfiable
% 35.98/9.50 |-Branch two:
% 35.98/9.50 | (471) ~ (all_0_104_104 = e22)
% 35.98/9.50 | (536) all_0_105_105 = e22 | all_0_106_106 = e22
% 35.98/9.50 |
% 35.98/9.50 +-Applying beta-rule and splitting (536), into two cases.
% 35.98/9.50 |-Branch one:
% 35.98/9.50 | (537) all_0_105_105 = e22
% 35.98/9.50 |
% 35.98/9.50 | Equations (537) can reduce 682 to:
% 35.98/9.50 | (401) $false
% 35.98/9.50 |
% 35.98/9.50 |-The branch is then unsatisfiable
% 35.98/9.50 |-Branch two:
% 35.98/9.50 | (682) ~ (all_0_105_105 = e22)
% 35.98/9.50 | (683) all_0_106_106 = e22
% 35.98/9.50 |
% 35.98/9.50 | Combining equations (683,437) yields a new equation:
% 35.98/9.50 | (442) e23 = e22
% 35.98/9.50 |
% 35.98/9.50 | Equations (442) can reduce 108 to:
% 35.98/9.50 | (401) $false
% 35.98/9.50 |
% 35.98/9.50 |-The branch is then unsatisfiable
% 35.98/9.50 |-Branch two:
% 35.98/9.50 | (543) ~ (all_0_101_101 = e22)
% 35.98/9.50 | (1284) all_0_101_101 = e21 | all_0_101_101 = e20
% 35.98/9.50 |
% 35.98/9.50 +-Applying beta-rule and splitting (124), into two cases.
% 35.98/9.50 |-Branch one:
% 35.98/9.50 | (441) all_0_100_100 = e22
% 35.98/9.50 |
% 35.98/9.50 | Combining equations (404,441) yields a new equation:
% 35.98/9.50 | (796) e23 = e22
% 35.98/9.50 |
% 35.98/9.50 | Simplifying 796 yields:
% 35.98/9.50 | (442) e23 = e22
% 35.98/9.50 |
% 35.98/9.50 | Equations (442) can reduce 108 to:
% 35.98/9.50 | (401) $false
% 35.98/9.50 |
% 35.98/9.50 |-The branch is then unsatisfiable
% 35.98/9.50 |-Branch two:
% 35.98/9.50 | (444) ~ (all_0_100_100 = e22)
% 35.98/9.50 | (445) all_0_101_101 = e22 | all_0_102_102 = e22
% 35.98/9.50 |
% 35.98/9.50 +-Applying beta-rule and splitting (1284), into two cases.
% 35.98/9.50 |-Branch one:
% 35.98/9.50 | (821) all_0_101_101 = e20
% 35.98/9.50 |
% 35.98/9.50 | Equations (821) can reduce 26 to:
% 35.98/9.50 | (448) ~ (all_0_102_102 = e20)
% 35.98/9.50 |
% 35.98/9.50 | Simplifying 448 yields:
% 35.98/9.50 | (449) ~ (all_0_102_102 = e20)
% 35.98/9.50 |
% 35.98/9.50 | Equations (821) can reduce 178 to:
% 35.98/9.50 | (2549) ~ (all_0_105_105 = e20)
% 35.98/9.50 |
% 35.98/9.50 | Simplifying 2549 yields:
% 35.98/9.50 | (834) ~ (all_0_105_105 = e20)
% 35.98/9.50 |
% 35.98/9.50 | Equations (821) can reduce 3 to:
% 35.98/9.50 | (452) ~ (e23 = e20)
% 35.98/9.50 |
% 35.98/9.50 | Simplifying 452 yields:
% 35.98/9.50 | (44) ~ (e23 = e20)
% 35.98/9.50 |
% 35.98/9.50 | Equations (821) can reduce 543 to:
% 35.98/9.50 | (751) ~ (e22 = e20)
% 35.98/9.50 |
% 35.98/9.50 | Simplifying 751 yields:
% 35.98/9.50 | (304) ~ (e22 = e20)
% 35.98/9.50 |
% 35.98/9.50 | From (821) and (7139) follows:
% 35.98/9.50 | (1956) op2(all_0_94_94, e20) = all_0_21_21
% 35.98/9.50 |
% 35.98/9.50 | From (821) and (771) follows:
% 35.98/9.50 | (824) op2(e20, all_0_94_94) = all_0_14_14
% 35.98/9.50 |
% 35.98/9.50 | From (821) and (772) follows:
% 35.98/9.50 | (1955) op2(e20, e23) = all_0_12_12
% 35.98/9.50 |
% 35.98/9.50 | From (821) and (773) follows:
% 35.98/9.50 | (826) op2(e20, e21) = all_0_8_8
% 35.98/9.50 |
% 35.98/9.50 | From (821) and (777) follows:
% 35.98/9.50 | (827) op2(e23, e20) = all_0_94_94
% 35.98/9.50 |
% 35.98/9.50 | From (821) and (250) follows:
% 35.98/9.50 | (828) op2(e23, e21) = e20
% 35.98/9.50 |
% 35.98/9.50 +-Applying beta-rule and splitting (445), into two cases.
% 35.98/9.50 |-Branch one:
% 35.98/9.50 | (540) all_0_101_101 = e22
% 35.98/9.50 |
% 35.98/9.50 | Combining equations (821,540) yields a new equation:
% 35.98/9.50 | (645) e22 = e20
% 35.98/9.50 |
% 35.98/9.50 | Equations (645) can reduce 304 to:
% 35.98/9.50 | (401) $false
% 35.98/9.50 |
% 35.98/9.50 |-The branch is then unsatisfiable
% 35.98/9.50 |-Branch two:
% 35.98/9.50 | (543) ~ (all_0_101_101 = e22)
% 35.98/9.50 | (544) all_0_102_102 = e22
% 35.98/9.50 |
% 35.98/9.50 | Equations (544) can reduce 308 to:
% 35.98/9.50 | (28) ~ (e22 = e21)
% 35.98/9.50 |
% 35.98/9.50 | Equations (544) can reduce 449 to:
% 35.98/9.50 | (304) ~ (e22 = e20)
% 35.98/9.50 |
% 35.98/9.50 | From (544) and (199) follows:
% 35.98/9.50 | (545) op2(e23, e20) = e22
% 35.98/9.50 |
% 35.98/9.50 +-Applying beta-rule and splitting (354), into two cases.
% 35.98/9.50 |-Branch one:
% 35.98/9.50 | (515) all_0_102_102 = e20
% 35.98/9.50 |
% 35.98/9.50 | Combining equations (544,515) yields a new equation:
% 35.98/9.50 | (644) e22 = e20
% 35.98/9.50 |
% 35.98/9.50 | Simplifying 644 yields:
% 35.98/9.50 | (645) e22 = e20
% 35.98/9.50 |
% 35.98/9.50 | Equations (645) can reduce 304 to:
% 35.98/9.50 | (401) $false
% 35.98/9.50 |
% 35.98/9.50 |-The branch is then unsatisfiable
% 35.98/9.50 |-Branch two:
% 35.98/9.50 | (449) ~ (all_0_102_102 = e20)
% 35.98/9.50 | (518) all_0_106_106 = e20 | all_0_110_110 = e20
% 35.98/9.50 |
% 35.98/9.50 +-Applying beta-rule and splitting (518), into two cases.
% 35.98/9.50 |-Branch one:
% 35.98/9.50 | (529) all_0_106_106 = e20
% 35.98/9.50 |
% 35.98/9.50 | Combining equations (437,529) yields a new equation:
% 35.98/9.50 | (520) e23 = e20
% 35.98/9.50 |
% 35.98/9.50 | Simplifying 520 yields:
% 35.98/9.50 | (521) e23 = e20
% 35.98/9.50 |
% 35.98/9.50 | Equations (521) can reduce 44 to:
% 35.98/9.50 | (401) $false
% 35.98/9.50 |
% 35.98/9.50 |-The branch is then unsatisfiable
% 35.98/9.50 |-Branch two:
% 35.98/9.50 | (686) ~ (all_0_106_106 = e20)
% 35.98/9.50 | (687) all_0_110_110 = e20
% 35.98/9.50 |
% 35.98/9.50 | Equations (687) can reduce 346 to:
% 35.98/9.50 | (237) ~ (all_0_108_108 = e20)
% 35.98/9.50 |
% 35.98/9.50 | Equations (687) can reduce 179 to:
% 35.98/9.50 | (715) ~ (all_0_109_109 = e20)
% 35.98/9.50 |
% 35.98/9.50 | Equations (687) can reduce 58 to:
% 35.98/9.50 | (530) ~ (e21 = e20)
% 35.98/9.50 |
% 35.98/9.50 | Simplifying 530 yields:
% 35.98/9.50 | (280) ~ (e21 = e20)
% 35.98/9.50 |
% 35.98/9.50 | Instantiating formula (312) with e23, e20, e22, all_0_94_94 and discharging atoms op2(e23, e20) = all_0_94_94, op2(e23, e20) = e22, yields:
% 35.98/9.50 | (835) all_0_94_94 = e22
% 35.98/9.50 |
% 35.98/9.50 | Instantiating formula (312) with e20, e23, all_0_12_12, e23 and discharging atoms op2(e20, e23) = all_0_12_12, op2(e20, e23) = e23, yields:
% 35.98/9.50 | (577) all_0_12_12 = e23
% 35.98/9.50 |
% 35.98/9.50 | Instantiating formula (312) with e20, e21, all_0_8_8, all_0_109_109 and discharging atoms op2(e20, e21) = all_0_8_8, op2(e20, e21) = all_0_109_109, yields:
% 35.98/9.50 | (836) all_0_8_8 = all_0_109_109
% 35.98/9.50 |
% 35.98/9.50 | From (835)(835) and (323) follows:
% 35.98/9.50 | (838) op2(e22, e22) = all_0_25_25
% 35.98/9.50 |
% 35.98/9.50 | From (835) and (734) follows:
% 35.98/9.50 | (840) op2(e22, e21) = all_0_19_19
% 35.98/9.50 |
% 35.98/9.50 | From (835) and (1956) follows:
% 35.98/9.50 | (7369) op2(e22, e20) = all_0_21_21
% 35.98/9.50 |
% 35.98/9.50 | From (835) and (287) follows:
% 35.98/9.50 | (7370) op2(e23, e22) = all_0_18_18
% 35.98/9.50 |
% 35.98/9.50 | From (835) and (824) follows:
% 35.98/9.50 | (842) op2(e20, e22) = all_0_14_14
% 35.98/9.50 |
% 35.98/9.50 | From (577) and (1955) follows:
% 35.98/9.50 | (661) op2(e20, e23) = e23
% 35.98/9.50 |
% 35.98/9.50 | From (836) and (826) follows:
% 35.98/9.50 | (175) op2(e20, e21) = all_0_109_109
% 35.98/9.50 |
% 35.98/9.50 | Instantiating formula (312) with e23, e22, all_0_18_18, e23 and discharging atoms op2(e23, e22) = all_0_18_18, op2(e23, e22) = e23, yields:
% 35.98/9.50 | (1571) all_0_18_18 = e23
% 35.98/9.50 |
% 35.98/9.50 | Instantiating formula (312) with e22, e22, all_0_25_25, all_0_104_104 and discharging atoms op2(e22, e22) = all_0_25_25, op2(e22, e22) = all_0_104_104, yields:
% 35.98/9.50 | (846) all_0_25_25 = all_0_104_104
% 35.98/9.50 |
% 35.98/9.50 | Instantiating formula (312) with e22, e21, all_0_19_19, all_0_105_105 and discharging atoms op2(e22, e21) = all_0_19_19, op2(e22, e21) = all_0_105_105, yields:
% 35.98/9.50 | (847) all_0_19_19 = all_0_105_105
% 35.98/9.50 |
% 35.98/9.50 | Instantiating formula (312) with e22, e20, all_0_21_21, e23 and discharging atoms op2(e22, e20) = all_0_21_21, op2(e22, e20) = e23, yields:
% 35.98/9.50 | (2007) all_0_21_21 = e23
% 35.98/9.50 |
% 35.98/9.50 | Instantiating formula (312) with e20, e22, all_0_14_14, all_0_108_108 and discharging atoms op2(e20, e22) = all_0_14_14, op2(e20, e22) = all_0_108_108, yields:
% 35.98/9.50 | (848) all_0_14_14 = all_0_108_108
% 35.98/9.50 |
% 35.98/9.50 | From (1571) and (7370) follows:
% 35.98/9.50 | (412) op2(e23, e22) = e23
% 35.98/9.50 |
% 35.98/9.50 | From (846) and (838) follows:
% 35.98/9.50 | (16) op2(e22, e22) = all_0_104_104
% 35.98/9.50 |
% 35.98/9.50 | From (847) and (840) follows:
% 35.98/9.50 | (61) op2(e22, e21) = all_0_105_105
% 35.98/9.50 |
% 35.98/9.50 | From (2007) and (7369) follows:
% 35.98/9.50 | (6149) op2(e22, e20) = e23
% 35.98/9.50 |
% 35.98/9.50 | From (848) and (842) follows:
% 35.98/9.50 | (152) op2(e20, e22) = all_0_108_108
% 35.98/9.50 |
% 35.98/9.50 +-Applying beta-rule and splitting (12), into two cases.
% 35.98/9.50 |-Branch one:
% 35.98/9.50 | (532) all_0_104_104 = e22
% 35.98/9.50 |
% 35.98/9.50 | Equations (532) can reduce 54 to:
% 35.98/9.50 | (1006) ~ (all_0_105_105 = e22)
% 35.98/9.50 |
% 35.98/9.50 | Simplifying 1006 yields:
% 35.98/9.50 | (682) ~ (all_0_105_105 = e22)
% 35.98/9.50 |
% 35.98/9.50 | Equations (532) can reduce 161 to:
% 35.98/9.50 | (304) ~ (e22 = e20)
% 35.98/9.50 |
% 35.98/9.50 +-Applying beta-rule and splitting (341), into two cases.
% 35.98/9.50 |-Branch one:
% 35.98/9.50 | (537) all_0_105_105 = e22
% 35.98/9.50 |
% 35.98/9.50 | Equations (537) can reduce 682 to:
% 35.98/9.50 | (401) $false
% 35.98/9.50 |
% 35.98/9.50 |-The branch is then unsatisfiable
% 35.98/9.50 |-Branch two:
% 35.98/9.50 | (682) ~ (all_0_105_105 = e22)
% 35.98/9.50 | (969) all_0_105_105 = e21 | all_0_105_105 = e20
% 35.98/9.50 |
% 35.98/9.50 +-Applying beta-rule and splitting (283), into two cases.
% 35.98/9.50 |-Branch one:
% 35.98/9.50 | (494) all_0_100_100 = e21
% 35.98/9.50 |
% 35.98/9.50 | Combining equations (404,494) yields a new equation:
% 35.98/9.50 | (481) e23 = e21
% 35.98/9.50 |
% 35.98/9.50 | Simplifying 481 yields:
% 35.98/9.50 | (482) e23 = e21
% 35.98/9.50 |
% 35.98/9.50 | Equations (482) can reduce 279 to:
% 35.98/9.50 | (401) $false
% 35.98/9.50 |
% 35.98/9.50 |-The branch is then unsatisfiable
% 35.98/9.50 |-Branch two:
% 35.98/9.50 | (497) ~ (all_0_100_100 = e21)
% 35.98/9.50 | (498) all_0_104_104 = e21 | all_0_108_108 = e21
% 35.98/9.50 |
% 35.98/9.50 +-Applying beta-rule and splitting (290), into two cases.
% 35.98/9.50 |-Branch one:
% 35.98/9.50 | (540) all_0_101_101 = e22
% 35.98/9.50 |
% 35.98/9.50 | Combining equations (821,540) yields a new equation:
% 35.98/9.50 | (645) e22 = e20
% 35.98/9.50 |
% 35.98/9.50 | Equations (645) can reduce 304 to:
% 35.98/9.50 | (401) $false
% 35.98/9.50 |
% 35.98/9.50 |-The branch is then unsatisfiable
% 35.98/9.50 |-Branch two:
% 35.98/9.50 | (543) ~ (all_0_101_101 = e22)
% 35.98/9.50 | (1315) all_0_105_105 = e22 | all_0_109_109 = e22
% 35.98/9.50 |
% 35.98/9.50 +-Applying beta-rule and splitting (1315), into two cases.
% 35.98/9.50 |-Branch one:
% 35.98/9.50 | (537) all_0_105_105 = e22
% 35.98/9.50 |
% 35.98/9.51 | Equations (537) can reduce 682 to:
% 35.98/9.51 | (401) $false
% 35.98/9.51 |
% 35.98/9.51 |-The branch is then unsatisfiable
% 35.98/9.51 |-Branch two:
% 35.98/9.51 | (682) ~ (all_0_105_105 = e22)
% 35.98/9.51 | (857) all_0_109_109 = e22
% 35.98/9.51 |
% 35.98/9.51 | Equations (857) can reduce 245 to:
% 35.98/9.51 | (682) ~ (all_0_105_105 = e22)
% 35.98/9.51 |
% 35.98/9.51 | Equations (857) can reduce 331 to:
% 35.98/9.51 | (703) ~ (all_0_108_108 = e22)
% 35.98/9.51 |
% 35.98/9.51 | From (857) and (175) follows:
% 35.98/9.51 | (1004) op2(e20, e21) = e22
% 35.98/9.51 |
% 35.98/9.51 +-Applying beta-rule and splitting (50), into two cases.
% 35.98/9.51 |-Branch one:
% 35.98/9.51 | (480) all_0_103_103 = e21
% 35.98/9.51 |
% 35.98/9.51 | Combining equations (519,480) yields a new equation:
% 35.98/9.51 | (476) e21 = e20
% 35.98/9.51 |
% 35.98/9.51 | Equations (476) can reduce 280 to:
% 35.98/9.51 | (401) $false
% 35.98/9.51 |
% 35.98/9.51 |-The branch is then unsatisfiable
% 35.98/9.51 |-Branch two:
% 35.98/9.51 | (484) ~ (all_0_103_103 = e21)
% 35.98/9.51 | (883) all_0_104_104 = e21 | all_0_105_105 = e21
% 35.98/9.51 |
% 35.98/9.51 | Equations (519) can reduce 484 to:
% 35.98/9.51 | (530) ~ (e21 = e20)
% 35.98/9.51 |
% 35.98/9.51 | Simplifying 530 yields:
% 35.98/9.51 | (280) ~ (e21 = e20)
% 35.98/9.51 |
% 35.98/9.51 +-Applying beta-rule and splitting (137), into two cases.
% 35.98/9.51 |-Branch one:
% 35.98/9.51 | (526) all_0_101_101 = e21
% 35.98/9.51 |
% 35.98/9.51 | Combining equations (821,526) yields a new equation:
% 35.98/9.51 | (476) e21 = e20
% 35.98/9.51 |
% 35.98/9.51 | Equations (476) can reduce 280 to:
% 35.98/9.51 | (401) $false
% 35.98/9.51 |
% 35.98/9.51 |-The branch is then unsatisfiable
% 35.98/9.51 |-Branch two:
% 35.98/9.51 | (690) ~ (all_0_101_101 = e21)
% 35.98/9.51 | (691) all_0_105_105 = e21 | all_0_109_109 = e21
% 35.98/9.51 |
% 35.98/9.51 +-Applying beta-rule and splitting (498), into two cases.
% 35.98/9.51 |-Branch one:
% 35.98/9.51 | (499) all_0_104_104 = e21
% 35.98/9.51 |
% 35.98/9.51 | Combining equations (532,499) yields a new equation:
% 35.98/9.51 | (677) e22 = e21
% 35.98/9.51 |
% 35.98/9.51 | Simplifying 677 yields:
% 35.98/9.51 | (533) e22 = e21
% 35.98/9.51 |
% 35.98/9.51 | Equations (533) can reduce 28 to:
% 35.98/9.51 | (401) $false
% 35.98/9.51 |
% 35.98/9.51 |-The branch is then unsatisfiable
% 35.98/9.51 |-Branch two:
% 35.98/9.51 | (698) ~ (all_0_104_104 = e21)
% 35.98/9.51 | (699) all_0_108_108 = e21
% 35.98/9.51 |
% 35.98/9.51 | Equations (699) can reduce 703 to:
% 35.98/9.51 | (488) ~ (e22 = e21)
% 35.98/9.51 |
% 35.98/9.51 | Simplifying 488 yields:
% 35.98/9.51 | (28) ~ (e22 = e21)
% 35.98/9.51 |
% 35.98/9.51 | From (699) and (152) follows:
% 35.98/9.51 | (1000) op2(e20, e22) = e21
% 35.98/9.51 |
% 35.98/9.51 +-Applying beta-rule and splitting (691), into two cases.
% 35.98/9.51 |-Branch one:
% 35.98/9.51 | (692) all_0_105_105 = e21
% 35.98/9.51 |
% 35.98/9.51 | Equations (692) can reduce 682 to:
% 35.98/9.51 | (488) ~ (e22 = e21)
% 35.98/9.51 |
% 35.98/9.51 | Simplifying 488 yields:
% 35.98/9.51 | (28) ~ (e22 = e21)
% 35.98/9.51 |
% 35.98/9.51 | Equations (692) can reduce 834 to:
% 35.98/9.51 | (280) ~ (e21 = e20)
% 35.98/9.51 |
% 35.98/9.51 +-Applying beta-rule and splitting (277), into two cases.
% 35.98/9.51 |-Branch one:
% 35.98/9.51 | (637) unit2 = e23
% 35.98/9.51 |
% 35.98/9.51 | From (637) and (23) follows:
% 35.98/9.51 | (1462) op2(e23, e22) = e22
% 35.98/9.51 |
% 35.98/9.51 | From (637) and (105) follows:
% 35.98/9.51 | (640) op2(e21, e23) = e21
% 35.98/9.51 |
% 35.98/9.51 | From (637) and (202) follows:
% 35.98/9.51 | (1896) op2(e20, e23) = e20
% 35.98/9.51 |
% 35.98/9.51 | Instantiating formula (312) with e23, e22, e22, e23 and discharging atoms op2(e23, e22) = e23, op2(e23, e22) = e22, yields:
% 35.98/9.51 | (442) e23 = e22
% 35.98/9.51 |
% 35.98/9.51 | Instantiating formula (312) with e21, e23, e21, e22 and discharging atoms op2(e21, e23) = e22, op2(e21, e23) = e21, yields:
% 35.98/9.51 | (533) e22 = e21
% 35.98/9.51 |
% 35.98/9.51 | Instantiating formula (312) with e20, e23, e20, e23 and discharging atoms op2(e20, e23) = e23, op2(e20, e23) = e20, yields:
% 35.98/9.51 | (521) e23 = e20
% 35.98/9.51 |
% 35.98/9.51 | Combining equations (442,521) yields a new equation:
% 35.98/9.51 | (644) e22 = e20
% 35.98/9.51 |
% 35.98/9.51 | Simplifying 644 yields:
% 35.98/9.51 | (645) e22 = e20
% 35.98/9.51 |
% 35.98/9.51 | Combining equations (533,645) yields a new equation:
% 35.98/9.51 | (646) e21 = e20
% 35.98/9.51 |
% 35.98/9.51 | Simplifying 646 yields:
% 35.98/9.51 | (476) e21 = e20
% 35.98/9.51 |
% 35.98/9.51 | Equations (476) can reduce 280 to:
% 35.98/9.51 | (401) $false
% 35.98/9.51 |
% 35.98/9.51 |-The branch is then unsatisfiable
% 35.98/9.51 |-Branch two:
% 35.98/9.51 | (649) ~ (unit2 = e23)
% 35.98/9.51 | (650) unit2 = e22 | unit2 = e21 | unit2 = e20
% 35.98/9.51 |
% 35.98/9.51 +-Applying beta-rule and splitting (650), into two cases.
% 35.98/9.51 |-Branch one:
% 35.98/9.51 | (651) unit2 = e22
% 35.98/9.51 |
% 35.98/9.51 | From (651) and (202) follows:
% 35.98/9.51 | (653) op2(e20, e22) = e20
% 35.98/9.51 |
% 35.98/9.51 | Instantiating formula (312) with e20, e22, e20, e21 and discharging atoms op2(e20, e22) = e21, op2(e20, e22) = e20, yields:
% 35.98/9.51 | (476) e21 = e20
% 35.98/9.51 |
% 35.98/9.51 | Equations (476) can reduce 280 to:
% 35.98/9.51 | (401) $false
% 35.98/9.51 |
% 35.98/9.51 |-The branch is then unsatisfiable
% 35.98/9.51 |-Branch two:
% 35.98/9.51 | (658) ~ (unit2 = e22)
% 35.98/9.51 | (659) unit2 = e21 | unit2 = e20
% 35.98/9.51 |
% 35.98/9.51 +-Applying beta-rule and splitting (659), into two cases.
% 35.98/9.51 |-Branch one:
% 35.98/9.51 | (660) unit2 = e20
% 35.98/9.51 |
% 35.98/9.51 | From (660) and (171) follows:
% 35.98/9.51 | (1037) op2(e20, e21) = e21
% 35.98/9.51 |
% 35.98/9.51 | Instantiating formula (312) with e20, e21, e21, e22 and discharging atoms op2(e20, e21) = e22, op2(e20, e21) = e21, yields:
% 35.98/9.51 | (533) e22 = e21
% 35.98/9.51 |
% 35.98/9.51 | Equations (533) can reduce 28 to:
% 35.98/9.51 | (401) $false
% 35.98/9.51 |
% 35.98/9.51 |-The branch is then unsatisfiable
% 35.98/9.51 |-Branch two:
% 35.98/9.51 | (668) ~ (unit2 = e20)
% 35.98/9.51 | (669) unit2 = e21
% 35.98/9.51 |
% 35.98/9.51 | Equations (669) can reduce 668 to:
% 35.98/9.51 | (280) ~ (e21 = e20)
% 35.98/9.51 |
% 35.98/9.51 | From (669) and (299) follows:
% 35.98/9.51 | (671) op2(e21, e23) = e23
% 35.98/9.51 |
% 35.98/9.51 | From (669) and (38) follows:
% 35.98/9.51 | (956) op2(e23, e21) = e23
% 35.98/9.51 |
% 35.98/9.51 | From (669) and (105) follows:
% 35.98/9.51 | (673) op2(e21, e21) = e21
% 35.98/9.51 |
% 35.98/9.51 | Instantiating formula (312) with e23, e21, e23, e20 and discharging atoms op2(e23, e21) = e23, op2(e23, e21) = e20, yields:
% 35.98/9.51 | (521) e23 = e20
% 35.98/9.51 |
% 35.98/9.51 | Instantiating formula (312) with e21, e23, e23, e22 and discharging atoms op2(e21, e23) = e23, op2(e21, e23) = e22, yields:
% 35.98/9.51 | (442) e23 = e22
% 35.98/9.51 |
% 35.98/9.51 | Instantiating formula (312) with e21, e21, e21, e23 and discharging atoms op2(e21, e21) = e23, op2(e21, e21) = e21, yields:
% 35.98/9.51 | (482) e23 = e21
% 35.98/9.51 |
% 35.98/9.51 | Combining equations (521,442) yields a new equation:
% 35.98/9.51 | (645) e22 = e20
% 35.98/9.51 |
% 35.98/9.51 | Combining equations (482,442) yields a new equation:
% 35.98/9.51 | (533) e22 = e21
% 35.98/9.51 |
% 35.98/9.51 | Combining equations (533,645) yields a new equation:
% 35.98/9.51 | (646) e21 = e20
% 35.98/9.51 |
% 35.98/9.51 | Simplifying 646 yields:
% 35.98/9.51 | (476) e21 = e20
% 35.98/9.51 |
% 35.98/9.51 | Equations (476) can reduce 280 to:
% 35.98/9.51 | (401) $false
% 35.98/9.51 |
% 35.98/9.51 |-The branch is then unsatisfiable
% 35.98/9.51 |-Branch two:
% 35.98/9.51 | (501) ~ (all_0_105_105 = e21)
% 35.98/9.51 | (695) all_0_109_109 = e21
% 35.98/9.51 |
% 35.98/9.51 | Combining equations (857,695) yields a new equation:
% 35.98/9.51 | (677) e22 = e21
% 35.98/9.51 |
% 35.98/9.51 | Simplifying 677 yields:
% 35.98/9.51 | (533) e22 = e21
% 35.98/9.51 |
% 35.98/9.51 | Equations (533) can reduce 28 to:
% 35.98/9.51 | (401) $false
% 35.98/9.51 |
% 35.98/9.51 |-The branch is then unsatisfiable
% 35.98/9.51 |-Branch two:
% 35.98/9.51 | (471) ~ (all_0_104_104 = e22)
% 35.98/9.51 | (536) all_0_105_105 = e22 | all_0_106_106 = e22
% 35.98/9.51 |
% 35.98/9.51 +-Applying beta-rule and splitting (1430), into two cases.
% 35.98/9.51 |-Branch one:
% 35.98/9.51 | (532) all_0_104_104 = e22
% 35.98/9.51 |
% 35.98/9.51 | Equations (532) can reduce 471 to:
% 35.98/9.51 | (401) $false
% 35.98/9.51 |
% 35.98/9.51 |-The branch is then unsatisfiable
% 35.98/9.51 |-Branch two:
% 35.98/9.51 | (471) ~ (all_0_104_104 = e22)
% 35.98/9.51 | (499) all_0_104_104 = e21
% 35.98/9.51 |
% 35.98/9.51 | Equations (499) can reduce 54 to:
% 35.98/9.51 | (500) ~ (all_0_105_105 = e21)
% 35.98/9.51 |
% 35.98/9.51 | Simplifying 500 yields:
% 35.98/9.51 | (501) ~ (all_0_105_105 = e21)
% 35.98/9.51 |
% 35.98/9.51 | Equations (499) can reduce 214 to:
% 35.98/9.51 | (7486) ~ (all_0_108_108 = e21)
% 35.98/9.51 |
% 35.98/9.51 | Simplifying 7486 yields:
% 35.98/9.51 | (2117) ~ (all_0_108_108 = e21)
% 35.98/9.51 |
% 35.98/9.51 | Equations (499) can reduce 408 to:
% 35.98/9.51 | (486) ~ (e23 = e21)
% 35.98/9.51 |
% 35.98/9.51 | Simplifying 486 yields:
% 35.98/9.51 | (279) ~ (e23 = e21)
% 35.98/9.51 |
% 35.98/9.51 | Equations (499) can reduce 161 to:
% 35.98/9.51 | (280) ~ (e21 = e20)
% 35.98/9.51 |
% 35.98/9.51 | From (499) and (212) follows:
% 35.98/9.51 | (507) op2(all_0_95_95, e21) = all_0_35_35
% 35.98/9.51 |
% 35.98/9.51 | From (499) and (349) follows:
% 35.98/9.51 | (508) op2(all_0_96_96, e21) = all_0_46_46
% 35.98/9.51 |
% 35.98/9.51 | From (499) and (181) follows:
% 35.98/9.51 | (510) op2(e21, all_0_96_96) = all_0_33_33
% 35.98/9.51 |
% 35.98/9.51 | From (499)(499) and (35) follows:
% 35.98/9.51 | (511) op2(e21, e21) = all_0_27_27
% 35.98/9.51 |
% 35.98/9.51 | From (499) and (188) follows:
% 35.98/9.51 | (513) op2(e22, e21) = all_0_95_95
% 35.98/9.51 |
% 35.98/9.51 | From (499) and (16) follows:
% 35.98/9.51 | (514) op2(e22, e22) = e21
% 35.98/9.51 |
% 35.98/9.51 +-Applying beta-rule and splitting (424), into two cases.
% 35.98/9.51 |-Branch one:
% 35.98/9.51 | (470) all_0_108_108 = e22
% 35.98/9.51 |
% 35.98/9.51 | Equations (470) can reduce 331 to:
% 35.98/9.51 | (854) ~ (all_0_109_109 = e22)
% 35.98/9.51 |
% 35.98/9.51 | Simplifying 854 yields:
% 35.98/9.51 | (855) ~ (all_0_109_109 = e22)
% 35.98/9.51 |
% 35.98/9.51 | Equations (470) can reduce 237 to:
% 35.98/9.51 | (304) ~ (e22 = e20)
% 35.98/9.51 |
% 35.98/9.51 | From (470) and (152) follows:
% 35.98/9.51 | (474) op2(e20, e22) = e22
% 35.98/9.51 |
% 35.98/9.51 +-Applying beta-rule and splitting (290), into two cases.
% 35.98/9.51 |-Branch one:
% 35.98/9.51 | (540) all_0_101_101 = e22
% 35.98/9.51 |
% 35.98/9.51 | Combining equations (821,540) yields a new equation:
% 35.98/9.51 | (645) e22 = e20
% 35.98/9.51 |
% 35.98/9.51 | Equations (645) can reduce 304 to:
% 35.98/9.51 | (401) $false
% 35.98/9.51 |
% 35.98/9.51 |-The branch is then unsatisfiable
% 35.98/9.51 |-Branch two:
% 35.98/9.51 | (543) ~ (all_0_101_101 = e22)
% 35.98/9.51 | (1315) all_0_105_105 = e22 | all_0_109_109 = e22
% 35.98/9.51 |
% 35.98/9.51 +-Applying beta-rule and splitting (137), into two cases.
% 35.98/9.51 |-Branch one:
% 35.98/9.51 | (526) all_0_101_101 = e21
% 35.98/9.51 |
% 35.98/9.51 | Combining equations (821,526) yields a new equation:
% 35.98/9.51 | (476) e21 = e20
% 35.98/9.51 |
% 35.98/9.51 | Equations (476) can reduce 280 to:
% 35.98/9.51 | (401) $false
% 35.98/9.51 |
% 35.98/9.51 |-The branch is then unsatisfiable
% 35.98/9.51 |-Branch two:
% 35.98/9.51 | (690) ~ (all_0_101_101 = e21)
% 35.98/9.51 | (691) all_0_105_105 = e21 | all_0_109_109 = e21
% 35.98/9.51 |
% 35.98/9.51 +-Applying beta-rule and splitting (341), into two cases.
% 35.98/9.51 |-Branch one:
% 35.98/9.51 | (537) all_0_105_105 = e22
% 35.98/9.51 |
% 35.98/9.51 | Equations (537) can reduce 355 to:
% 35.98/9.51 | (805) ~ (e23 = e22)
% 35.98/9.51 |
% 35.98/9.51 | Simplifying 805 yields:
% 35.98/9.51 | (108) ~ (e23 = e22)
% 35.98/9.51 |
% 35.98/9.51 | Equations (537) can reduce 501 to:
% 35.98/9.51 | (28) ~ (e22 = e21)
% 35.98/9.51 |
% 35.98/9.51 | From (537) and (61) follows:
% 35.98/9.51 | (539) op2(e22, e21) = e22
% 35.98/9.51 |
% 35.98/9.51 +-Applying beta-rule and splitting (96), into two cases.
% 35.98/9.51 |-Branch one:
% 35.98/9.51 | (485) all_0_107_107 = e21
% 35.98/9.51 |
% 36.11/9.51 | Combining equations (425,485) yields a new equation:
% 36.11/9.51 | (481) e23 = e21
% 36.11/9.51 |
% 36.11/9.51 | Simplifying 481 yields:
% 36.11/9.51 | (482) e23 = e21
% 36.11/9.51 |
% 36.11/9.51 | Equations (482) can reduce 279 to:
% 36.11/9.51 | (401) $false
% 36.11/9.51 |
% 36.11/9.51 |-The branch is then unsatisfiable
% 36.11/9.51 |-Branch two:
% 36.11/9.51 | (709) ~ (all_0_107_107 = e21)
% 36.11/9.51 | (1147) all_0_108_108 = e21 | all_0_109_109 = e21
% 36.11/9.51 |
% 36.11/9.51 +-Applying beta-rule and splitting (1147), into two cases.
% 36.11/9.51 |-Branch one:
% 36.11/9.51 | (699) all_0_108_108 = e21
% 36.11/9.51 |
% 36.11/9.51 | Combining equations (470,699) yields a new equation:
% 36.11/9.51 | (677) e22 = e21
% 36.11/9.51 |
% 36.11/9.51 | Simplifying 677 yields:
% 36.11/9.51 | (533) e22 = e21
% 36.11/9.51 |
% 36.11/9.51 | Equations (533) can reduce 28 to:
% 36.11/9.51 | (401) $false
% 36.11/9.51 |
% 36.11/9.51 |-The branch is then unsatisfiable
% 36.11/9.51 |-Branch two:
% 36.11/9.51 | (2117) ~ (all_0_108_108 = e21)
% 36.11/9.51 | (695) all_0_109_109 = e21
% 36.11/9.51 |
% 36.11/9.51 | Equations (695) can reduce 715 to:
% 36.11/9.51 | (280) ~ (e21 = e20)
% 36.11/9.51 |
% 36.11/9.51 | Instantiating formula (312) with e22, e21, e22, all_0_95_95 and discharging atoms op2(e22, e21) = all_0_95_95, op2(e22, e21) = e22, yields:
% 36.11/9.51 | (547) all_0_95_95 = e22
% 36.11/9.51 |
% 36.11/9.51 | Instantiating formula (312) with e21, e21, all_0_27_27, e23 and discharging atoms op2(e21, e21) = all_0_27_27, op2(e21, e21) = e23, yields:
% 36.11/9.51 | (550) all_0_27_27 = e23
% 36.11/9.51 |
% 36.11/9.51 | From (547)(547) and (213) follows:
% 36.11/9.51 | (559) op2(e22, e22) = all_0_37_37
% 36.11/9.51 |
% 36.11/9.51 | From (547) and (332) follows:
% 36.11/9.51 | (560) op2(e22, e22) = all_0_39_39
% 36.11/9.51 |
% 36.11/9.51 | From (547) and (507) follows:
% 36.11/9.51 | (561) op2(e22, e21) = all_0_35_35
% 36.11/9.51 |
% 36.11/9.51 | From (547) and (121) follows:
% 36.11/9.51 | (566) op2(e22, e22) = all_0_96_96
% 36.11/9.51 |
% 36.11/9.51 | From (547) and (513) follows:
% 36.11/9.51 | (539) op2(e22, e21) = e22
% 36.11/9.51 |
% 36.11/9.51 | From (550) and (511) follows:
% 36.11/9.51 | (224) op2(e21, e21) = e23
% 36.11/9.51 |
% 36.11/9.51 | Instantiating formula (312) with e22, e22, all_0_37_37, e21 and discharging atoms op2(e22, e22) = all_0_37_37, op2(e22, e22) = e21, yields:
% 36.11/9.51 | (578) all_0_37_37 = e21
% 36.11/9.51 |
% 36.11/9.51 | Instantiating formula (312) with e22, e22, all_0_39_39, all_0_37_37 and discharging atoms op2(e22, e22) = all_0_37_37, op2(e22, e22) = all_0_39_39, yields:
% 36.11/9.51 | (590) all_0_37_37 = all_0_39_39
% 36.11/9.51 |
% 36.11/9.51 | Instantiating formula (312) with e22, e22, all_0_96_96, all_0_37_37 and discharging atoms op2(e22, e22) = all_0_37_37, op2(e22, e22) = all_0_96_96, yields:
% 36.11/9.51 | (581) all_0_37_37 = all_0_96_96
% 36.11/9.51 |
% 36.11/9.51 | Instantiating formula (312) with e22, e21, all_0_35_35, e22 and discharging atoms op2(e22, e21) = all_0_35_35, op2(e22, e21) = e22, yields:
% 36.11/9.51 | (582) all_0_35_35 = e22
% 36.11/9.51 |
% 36.11/9.51 | Combining equations (581,590) yields a new equation:
% 36.11/9.51 | (591) all_0_39_39 = all_0_96_96
% 36.11/9.51 |
% 36.11/9.51 | Combining equations (578,590) yields a new equation:
% 36.11/9.51 | (592) all_0_39_39 = e21
% 36.11/9.51 |
% 36.11/9.51 | Combining equations (592,591) yields a new equation:
% 36.11/9.51 | (593) all_0_96_96 = e21
% 36.11/9.51 |
% 36.11/9.51 | From (593)(593) and (197) follows:
% 36.11/9.51 | (599) op2(e21, e21) = all_0_52_52
% 36.11/9.51 |
% 36.11/9.51 | From (593) and (508) follows:
% 36.11/9.51 | (601) op2(e21, e21) = all_0_46_46
% 36.11/9.51 |
% 36.11/9.51 | From (593) and (113) follows:
% 36.11/9.51 | (604) op2(e22, e21) = all_0_45_45
% 36.11/9.51 |
% 36.11/9.51 | From (582) and (561) follows:
% 36.11/9.51 | (539) op2(e22, e21) = e22
% 36.11/9.51 |
% 36.11/9.51 | From (593) and (510) follows:
% 36.11/9.51 | (607) op2(e21, e21) = all_0_33_33
% 36.11/9.51 |
% 36.11/9.51 | Instantiating formula (312) with e22, e21, all_0_45_45, e22 and discharging atoms op2(e22, e21) = all_0_45_45, op2(e22, e21) = e22, yields:
% 36.11/9.51 | (617) all_0_45_45 = e22
% 36.11/9.51 |
% 36.11/9.51 | Instantiating formula (312) with e21, e21, all_0_33_33, e23 and discharging atoms op2(e21, e21) = all_0_33_33, op2(e21, e21) = e23, yields:
% 36.11/9.51 | (913) all_0_33_33 = e23
% 36.11/9.51 |
% 36.11/9.51 | Instantiating formula (312) with e21, e21, all_0_46_46, all_0_33_33 and discharging atoms op2(e21, e21) = all_0_33_33, op2(e21, e21) = all_0_46_46, yields:
% 36.11/9.51 | (620) all_0_33_33 = all_0_46_46
% 36.11/9.51 |
% 36.11/9.51 | Instantiating formula (312) with e21, e21, all_0_52_52, all_0_33_33 and discharging atoms op2(e21, e21) = all_0_33_33, op2(e21, e21) = all_0_52_52, yields:
% 36.11/9.51 | (621) all_0_33_33 = all_0_52_52
% 36.11/9.51 |
% 36.11/9.51 | Combining equations (913,620) yields a new equation:
% 36.11/9.51 | (619) all_0_46_46 = e23
% 36.11/9.51 |
% 36.11/9.51 | Combining equations (621,620) yields a new equation:
% 36.11/9.51 | (628) all_0_46_46 = all_0_52_52
% 36.11/9.51 |
% 36.11/9.51 | Combining equations (628,619) yields a new equation:
% 36.11/9.51 | (629) all_0_52_52 = e23
% 36.11/9.51 |
% 36.11/9.51 | Simplifying 629 yields:
% 36.11/9.51 | (630) all_0_52_52 = e23
% 36.11/9.51 |
% 36.11/9.51 | From (617) and (604) follows:
% 36.11/9.51 | (539) op2(e22, e21) = e22
% 36.11/9.51 |
% 36.11/9.51 | From (630) and (599) follows:
% 36.11/9.51 | (224) op2(e21, e21) = e23
% 36.11/9.51 |
% 36.11/9.51 +-Applying beta-rule and splitting (277), into two cases.
% 36.11/9.51 |-Branch one:
% 36.11/9.51 | (637) unit2 = e23
% 36.11/9.51 |
% 36.11/9.51 | From (637) and (23) follows:
% 36.11/9.51 | (1462) op2(e23, e22) = e22
% 36.11/9.51 |
% 36.11/9.51 | From (637) and (105) follows:
% 36.11/9.51 | (640) op2(e21, e23) = e21
% 36.11/9.51 |
% 36.11/9.51 | From (637) and (202) follows:
% 36.11/9.51 | (1896) op2(e20, e23) = e20
% 36.11/9.51 |
% 36.11/9.51 | Instantiating formula (312) with e23, e22, e22, e23 and discharging atoms op2(e23, e22) = e23, op2(e23, e22) = e22, yields:
% 36.11/9.51 | (442) e23 = e22
% 36.11/9.51 |
% 36.11/9.51 | Instantiating formula (312) with e21, e23, e21, e22 and discharging atoms op2(e21, e23) = e22, op2(e21, e23) = e21, yields:
% 36.11/9.51 | (533) e22 = e21
% 36.11/9.51 |
% 36.11/9.51 | Instantiating formula (312) with e20, e23, e20, e23 and discharging atoms op2(e20, e23) = e23, op2(e20, e23) = e20, yields:
% 36.11/9.51 | (521) e23 = e20
% 36.11/9.51 |
% 36.11/9.51 | Combining equations (442,521) yields a new equation:
% 36.11/9.51 | (644) e22 = e20
% 36.11/9.51 |
% 36.11/9.51 | Simplifying 644 yields:
% 36.11/9.51 | (645) e22 = e20
% 36.11/9.51 |
% 36.11/9.51 | Combining equations (533,645) yields a new equation:
% 36.11/9.51 | (646) e21 = e20
% 36.11/9.51 |
% 36.11/9.51 | Simplifying 646 yields:
% 36.11/9.51 | (476) e21 = e20
% 36.11/9.51 |
% 36.11/9.51 | Equations (476) can reduce 280 to:
% 36.11/9.51 | (401) $false
% 36.11/9.51 |
% 36.11/9.51 |-The branch is then unsatisfiable
% 36.11/9.51 |-Branch two:
% 36.11/9.51 | (649) ~ (unit2 = e23)
% 36.11/9.51 | (650) unit2 = e22 | unit2 = e21 | unit2 = e20
% 36.11/9.51 |
% 36.11/9.51 +-Applying beta-rule and splitting (650), into two cases.
% 36.11/9.51 |-Branch one:
% 36.11/9.51 | (651) unit2 = e22
% 36.11/9.51 |
% 36.11/9.51 | From (651) and (171) follows:
% 36.11/9.52 | (652) op2(e22, e21) = e21
% 36.11/9.52 |
% 36.11/9.52 | From (651) and (202) follows:
% 36.11/9.52 | (653) op2(e20, e22) = e20
% 36.11/9.52 |
% 36.11/9.52 | Instantiating formula (312) with e22, e21, e21, e22 and discharging atoms op2(e22, e21) = e22, op2(e22, e21) = e21, yields:
% 36.11/9.52 | (533) e22 = e21
% 36.11/9.52 |
% 36.11/9.52 | Instantiating formula (312) with e20, e22, e20, e22 and discharging atoms op2(e20, e22) = e22, op2(e20, e22) = e20, yields:
% 36.11/9.52 | (645) e22 = e20
% 36.11/9.52 |
% 36.11/9.52 | Combining equations (533,645) yields a new equation:
% 36.11/9.52 | (646) e21 = e20
% 36.11/9.52 |
% 36.11/9.52 | Simplifying 646 yields:
% 36.11/9.52 | (476) e21 = e20
% 36.11/9.52 |
% 36.11/9.52 | Equations (476) can reduce 280 to:
% 36.11/9.52 | (401) $false
% 36.11/9.52 |
% 36.11/9.52 |-The branch is then unsatisfiable
% 36.11/9.52 |-Branch two:
% 36.11/9.52 | (658) ~ (unit2 = e22)
% 36.11/9.52 | (659) unit2 = e21 | unit2 = e20
% 36.11/9.52 |
% 36.11/9.52 +-Applying beta-rule and splitting (659), into two cases.
% 36.11/9.52 |-Branch one:
% 36.11/9.52 | (660) unit2 = e20
% 36.11/9.52 |
% 36.11/9.52 | From (660) and (334) follows:
% 36.11/9.52 | (1098) op2(e22, e20) = e22
% 36.11/9.52 |
% 36.11/9.52 | Instantiating formula (312) with e22, e20, e22, e23 and discharging atoms op2(e22, e20) = e23, op2(e22, e20) = e22, yields:
% 36.11/9.52 | (442) e23 = e22
% 36.11/9.52 |
% 36.11/9.52 | Equations (442) can reduce 108 to:
% 36.11/9.52 | (401) $false
% 36.11/9.52 |
% 36.11/9.52 |-The branch is then unsatisfiable
% 36.11/9.52 |-Branch two:
% 36.11/9.52 | (668) ~ (unit2 = e20)
% 36.11/9.52 | (669) unit2 = e21
% 36.11/9.52 |
% 36.11/9.52 | Equations (669) can reduce 668 to:
% 36.11/9.52 | (280) ~ (e21 = e20)
% 36.11/9.52 |
% 36.11/9.52 | From (669) and (38) follows:
% 36.11/9.52 | (956) op2(e23, e21) = e23
% 36.11/9.52 |
% 36.11/9.52 | From (669) and (105) follows:
% 36.11/9.52 | (673) op2(e21, e21) = e21
% 36.11/9.52 |
% 36.11/9.52 | Instantiating formula (312) with e23, e21, e23, e20 and discharging atoms op2(e23, e21) = e23, op2(e23, e21) = e20, yields:
% 36.11/9.52 | (521) e23 = e20
% 36.11/9.52 |
% 36.11/9.52 | Instantiating formula (312) with e21, e21, e21, e23 and discharging atoms op2(e21, e21) = e23, op2(e21, e21) = e21, yields:
% 36.11/9.52 | (482) e23 = e21
% 36.11/9.52 |
% 36.11/9.52 | Combining equations (482,521) yields a new equation:
% 36.11/9.52 | (646) e21 = e20
% 36.11/9.52 |
% 36.11/9.52 | Simplifying 646 yields:
% 36.11/9.52 | (476) e21 = e20
% 36.11/9.52 |
% 36.11/9.52 | Equations (476) can reduce 280 to:
% 36.11/9.52 | (401) $false
% 36.11/9.52 |
% 36.11/9.52 |-The branch is then unsatisfiable
% 36.11/9.52 |-Branch two:
% 36.11/9.52 | (682) ~ (all_0_105_105 = e22)
% 36.11/9.52 | (969) all_0_105_105 = e21 | all_0_105_105 = e20
% 36.11/9.52 |
% 36.11/9.52 +-Applying beta-rule and splitting (13), into two cases.
% 36.11/9.52 |-Branch one:
% 36.11/9.52 | (857) all_0_109_109 = e22
% 36.11/9.52 |
% 36.11/9.52 | Equations (857) can reduce 855 to:
% 36.11/9.52 | (401) $false
% 36.11/9.52 |
% 36.11/9.52 |-The branch is then unsatisfiable
% 36.11/9.52 |-Branch two:
% 36.11/9.52 | (855) ~ (all_0_109_109 = e22)
% 36.11/9.52 | (860) all_0_109_109 = e21 | all_0_109_109 = e20
% 36.11/9.52 |
% 36.11/9.52 +-Applying beta-rule and splitting (691), into two cases.
% 36.11/9.52 |-Branch one:
% 36.11/9.52 | (692) all_0_105_105 = e21
% 36.11/9.52 |
% 36.11/9.52 | Equations (692) can reduce 501 to:
% 36.11/9.52 | (401) $false
% 36.11/9.52 |
% 36.11/9.52 |-The branch is then unsatisfiable
% 36.11/9.52 |-Branch two:
% 36.11/9.52 | (501) ~ (all_0_105_105 = e21)
% 36.11/9.52 | (695) all_0_109_109 = e21
% 36.11/9.52 |
% 36.11/9.52 | Equations (695) can reduce 855 to:
% 36.11/9.52 | (488) ~ (e22 = e21)
% 36.11/9.52 |
% 36.11/9.52 | Simplifying 488 yields:
% 36.11/9.52 | (28) ~ (e22 = e21)
% 36.11/9.52 |
% 36.11/9.52 +-Applying beta-rule and splitting (1315), into two cases.
% 36.11/9.52 |-Branch one:
% 36.11/9.52 | (537) all_0_105_105 = e22
% 36.11/9.52 |
% 36.11/9.52 | Equations (537) can reduce 682 to:
% 36.11/9.52 | (401) $false
% 36.11/9.52 |
% 36.11/9.52 |-The branch is then unsatisfiable
% 36.11/9.52 |-Branch two:
% 36.11/9.52 | (682) ~ (all_0_105_105 = e22)
% 36.11/9.52 | (857) all_0_109_109 = e22
% 36.11/9.52 |
% 36.11/9.52 | Combining equations (695,857) yields a new equation:
% 36.11/9.52 | (533) e22 = e21
% 36.11/9.52 |
% 36.11/9.52 | Equations (533) can reduce 28 to:
% 36.11/9.52 | (401) $false
% 36.11/9.52 |
% 36.11/9.52 |-The branch is then unsatisfiable
% 36.11/9.52 |-Branch two:
% 36.11/9.52 | (703) ~ (all_0_108_108 = e22)
% 36.11/9.52 | (699) all_0_108_108 = e21
% 36.11/9.52 |
% 36.11/9.52 | Equations (699) can reduce 2117 to:
% 36.11/9.52 | (401) $false
% 36.11/9.52 |
% 36.11/9.52 |-The branch is then unsatisfiable
% 36.11/9.52 |-Branch two:
% 36.11/9.52 | (1086) ~ (all_0_101_101 = e20)
% 36.11/9.52 | (526) all_0_101_101 = e21
% 36.11/9.52 |
% 36.11/9.52 | Equations (526) can reduce 690 to:
% 36.11/9.52 | (401) $false
% 36.11/9.52 |
% 36.11/9.52 |-The branch is then unsatisfiable
% 36.11/9.52 |-Branch two:
% 36.11/9.52 | (523) ~ (all_0_103_103 = e20)
% 36.11/9.52 | (480) all_0_103_103 = e21
% 36.11/9.52 |
% 36.11/9.52 | Equations (480) can reduce 484 to:
% 36.11/9.52 | (401) $false
% 36.11/9.52 |
% 36.11/9.52 |-The branch is then unsatisfiable
% 36.11/9.52 |-Branch two:
% 36.11/9.52 | (1365) ~ (all_0_100_100 = e23)
% 36.11/9.52 | (1405) all_0_104_104 = e23 | all_0_108_108 = e23
% 36.11/9.52 |
% 36.11/9.52 +-Applying beta-rule and splitting (403), into two cases.
% 36.11/9.52 |-Branch one:
% 36.11/9.52 | (404) all_0_100_100 = e23
% 36.11/9.52 |
% 36.11/9.52 | Equations (404) can reduce 1365 to:
% 36.11/9.52 | (401) $false
% 36.11/9.52 |
% 36.11/9.52 |-The branch is then unsatisfiable
% 36.11/9.52 |-Branch two:
% 36.11/9.52 | (1365) ~ (all_0_100_100 = e23)
% 36.11/9.52 | (429) all_0_102_102 = e23
% 36.11/9.52 |
% 36.11/9.52 | Equations (429) can reduce 376 to:
% 36.11/9.52 | (401) $false
% 36.11/9.52 |
% 36.11/9.52 |-The branch is then unsatisfiable
% 36.11/9.52 |-Branch two:
% 36.11/9.52 | (377) ~ (all_0_106_106 = e23)
% 36.11/9.52 | (375) all_0_110_110 = e23
% 36.11/9.52 |
% 36.11/9.52 | Equations (375) can reduce 1383 to:
% 36.11/9.52 | (401) $false
% 36.11/9.52 |
% 36.11/9.52 |-The branch is then unsatisfiable
% 36.11/9.52 % SZS output end Proof for theBenchmark
% 36.11/9.52
% 36.11/9.52 8942ms
%------------------------------------------------------------------------------